Cross-Entropy Method: Pendulum Swing-Up¶
The Cross-Entropy Method (CEM) is a simple, gradient-free optimization algorithm:
- Sample parameter vectors from a Gaussian distribution
- Evaluate each by simulating the system
- Select the top performers ("elites")
- Update the distribution mean and std from the elites
No gradients needed — just simulation + sorting. We use np_cvode as the physics engine and np_randn for sampling.
In [8]:
load("numerics")$
load("numerics-sundials")$
load("ax-plots")$
1. Pendulum Dynamics¶
Simple pendulum with torque input $u$: $$\ddot{\theta} = -\frac{g}{l}\sin\theta - b\dot{\theta} + \frac{u}{ml^2}$$
Goal: swing from hanging ($\theta = \pi$) to upright ($\theta = 0$).
In [9]:
/* Pendulum parameters */
gv : 9.81$ lp : 1.0$ mp : 1.0$ bp : 0.1$
/* Max torque (saturation) */
u_max : 5.0$
2. Policy and Cost Function¶
Linear policy in features $[\sin\theta, \cos\theta, \omega]$: $$u = \text{clip}(w_1 \sin\theta + w_2 \cos\theta + w_3 \omega,\; -u_{\max},\; u_{\max})$$
These features are smooth and periodic, unlike raw $\theta$.
In [10]:
/* Cost function: simulate one episode, return scalar cost.
Lower is better. Penalizes deviation from upright + control effort. */
simulate_cost(w1v, w2v, w3v) := block(
[u_expr, rhs1, rhs2, tspan_sim, traj, th_col, om_col, cost_state, n_t],
/* Build closed-loop dynamics with clipped control */
u_expr : max(-u_max, min(u_max,
w1v * sin(theta) + w2v * cos(theta) + w3v * omega)),
rhs1 : omega,
rhs2 : -(gv/lp)*sin(theta) - bp*omega + u_expr/(mp*lp^2),
tspan_sim : np_linspace(0, 6, 300),
/* Start hanging down: theta = pi */
traj : np_cvode([rhs1, rhs2], [t, theta, omega],
[float(%pi), 0.0], tspan_sim, 1e-8, 1e-8),
/* Cost: (1 - cos(theta))^2 + 0.1*omega^2, weighted toward final states */
th_col : np_slice(traj, all, 1),
om_col : np_slice(traj, all, 2),
cost_state : np_add(
np_pow(np_sub(1.0, np_cos(th_col)), 2),
np_scale(0.1, np_pow(om_col, 2))),
n_t : first(np_shape(traj)),
float(np_mean(cost_state) + 2.0 * np_ref(cost_state, n_t - 1))
)$
/* Test: cost of zero controller (no torque, hangs at pi forever) */
print("Zero-controller cost:", simulate_cost(0.0, 0.0, 0.0))$
Zero-controller cost: 12.0
3. Cross-Entropy Method¶
Sample from $\mathcal{N}(\mu, \sigma^2)$, evaluate, select best, update. Uses np_randn for efficient batch sampling.
In [11]:
np_seed(42)$
n_params : 3$
n_samples : 40$
n_elite : 8$
n_gens : 25$
/* Initial distribution */
cem_mu : [0.0, 0.0, 0.0]$
cem_sigma : [5.0, 5.0, 5.0]$
best_cost_history : []$
mean_cost_history : []$
for gen : 1 thru n_gens do block(
[noise, samples, costs, sorted_idx, elite_params, elite_costs,
new_mu, new_sigma],
/* Sample: generate [n_samples, n_params] standard normal, scale by sigma, shift by mu */
noise : np_randn([n_samples, n_params]),
samples : makelist(
makelist(float(cem_mu[j] + cem_sigma[j] * np_ref(noise, i, j-1)), j, 1, n_params),
i, 0, n_samples - 1),
/* Evaluate each candidate (the expensive part: one ODE solve per sample) */
costs : makelist(
block([s], s : samples[i],
errcatch(simulate_cost(s[1], s[2], s[3]))),
i, 1, n_samples),
/* Replace failed simulations with high cost */
costs : map(lambda([c], if c = [] then 100.0 else first(c)), costs),
/* Sort by cost, select elites */
sorted_idx : sort(makelist(i, i, 1, n_samples),
lambda([a, b], costs[a] < costs[b])),
elite_params : makelist(samples[sorted_idx[i]], i, 1, n_elite),
elite_costs : makelist(costs[sorted_idx[i]], i, 1, n_elite),
/* Update distribution from elites */
new_mu : makelist(
float(lsum(p[j], p, elite_params) / n_elite),
j, 1, n_params),
new_sigma : makelist(
float(max(0.3, sqrt(lsum((p[j] - new_mu[j])^2, p, elite_params) / n_elite))),
j, 1, n_params),
cem_mu : new_mu,
cem_sigma : new_sigma,
best_cost_history : append(best_cost_history, [first(elite_costs)]),
mean_cost_history : append(mean_cost_history,
[float(lsum(c, c, elite_costs) / n_elite)]),
if mod(gen, 5) = 0 then
print("Gen", gen, ": best =",
float(round(first(elite_costs) * 1000) / 1000),
" mu =", map(lambda([x], float(round(x * 100) / 100)), new_mu))
)$
print("Final policy: w =",
map(lambda([x], float(round(x * 100) / 100)), cem_mu))$
rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.116464912494404 by -26528801/6444559 = -4.116464912494401 rat: replaced 1.0798880642181043 by 25952249/24032351 = 1.0798880642181032 rat: replaced -1.2557563177811852 by -51811432/41259145 = -1.2557563177811852 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.116464912494404 by 26528801/6444559 = 4.116464912494401 rat: replaced -1.0798880642181043 by -25952249/24032351 = -1.0798880642181032 rat: replaced 1.2557563177811852 by 51811432/41259145 = 1.2557563177811852 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.296422137799837 by -112610446/21261607 = -5.296422137799838 rat: replaced -0.061112427697400024 by -1624091/26575462 = -0.061112427697399954 rat: replaced 0.831115242271757 by 9569111/11513579 = 0.8311152422717558 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.296422137799837 by 112610446/21261607 = 5.296422137799838 rat: replaced 0.061112427697400024 by 1624091/26575462 = 0.061112427697399954 rat: replaced -0.831115242271757 by -9569111/11513579 = -0.8311152422717558 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 1.1599155651923023 by 40719881/35105901 = 1.159915565192302 rat: replaced -6.794087324512899 by -49556929/7294126 = -6.794087324512903 rat: replaced 5.619163632360823 by 67842000/12073327 = 5.619163632360823 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -1.1599155651923023 by -40719881/35105901 = -1.159915565192302 rat: replaced 6.794087324512899 by 49556929/7294126 = 6.794087324512903 rat: replaced -5.619163632360823 by -67842000/12073327 = -5.619163632360823 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.42600940034099 by -63325763/8527563 = -7.426009400340988 rat: replaced -6.654075462568736 by -69640915/10465904 = -6.654075462568738 rat: replaced 2.81518750139011 by 19112429/6789043 = 2.8151875013901075 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.42600940034099 by 63325763/8527563 = 7.426009400340988 rat: replaced 6.654075462568736 by 69640915/10465904 = 6.654075462568738 rat: replaced -2.81518750139011 by -19112429/6789043 = -2.8151875013901075 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.6371862042335206 by 14478772/5490235 = 2.6371862042335166 rat: replaced 0.7303821167625889 by 12586927/17233345 = 0.7303821167625902 rat: replaced 6.669700173327699 by 89951525/13486592 = 6.669700173327702 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.6371862042335206 by -14478772/5490235 = -2.6371862042335166 rat: replaced -0.7303821167625889 by -12586927/17233345 = -0.7303821167625902 rat: replaced -6.669700173327699 by -89951525/13486592 = -6.669700173327702 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.1057375756411103 by 6852723/2206472 = 3.105737575641114 rat: replaced -3.9704541012495898 by -24844517/6257349 = -3.9704541012495866 rat: replaced -9.161998080886713 by -78017996/8515391 = -9.161998080886715 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.1057375756411103 by -6852723/2206472 = -3.105737575641114 rat: replaced 3.9704541012495898 by 24844517/6257349 = 3.9704541012495866 rat: replaced 9.161998080886713 by 78017996/8515391 = 9.161998080886715 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.2894318976779795 by 42061938/7952071 = 5.289431897677976 rat: replaced -5.038650997389704 by -24505202/4863445 = -5.03865099738971 rat: replaced 7.024951504256847 by 48805970/6947517 = 7.024951504256845 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.2894318976779795 by -42061938/7952071 = -5.289431897677976 rat: replaced 5.038650997389704 by 24505202/4863445 = 5.03865099738971 rat: replaced -7.024951504256847 by -48805970/6947517 = -7.024951504256845 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.039850044448824 by 41762879/10337730 = 4.03985004444883 rat: replaced 4.354118427627997 by 17495649/4018184 = 4.354118427628003 rat: replaced -0.6458244654348955 by -25768701/39900472 = -0.6458244654348951 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.039850044448824 by -41762879/10337730 = -4.03985004444883 rat: replaced -4.354118427627997 by -17495649/4018184 = -4.354118427628003 rat: replaced 0.6458244654348955 by 25768701/39900472 = 0.6458244654348951 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 9.19027245158734 by 47788801/5199933 = 9.190272451587356 rat: replaced -6.77942807578332 by -144267565/21280197 = -6.779428075783321 rat: replaced -5.276588911825705 by -16315577/3092069 = -5.276588911825707 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -9.19027245158734 by -47788801/5199933 = -9.190272451587356 rat: replaced 6.77942807578332 by 144267565/21280197 = 6.779428075783321 rat: replaced 5.276588911825705 by 16315577/3092069 = 5.276588911825707 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 12.83555055518743 by 65975577/5140066 = 12.835550555187424 rat: replaced -2.4961419088928163 by -28506652/11420285 = -2.4961419088928167 rat: replaced 4.592280706680096 by 83089935/18093392 = 4.592280706680096 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -12.83555055518743 by -65975577/5140066 = -12.835550555187424 rat: replaced 2.4961419088928163 by 28506652/11420285 = 2.4961419088928167 rat: replaced -4.592280706680096 by -83089935/18093392 = -4.592280706680096 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -10.931563561504262 by -47143144/4312571 = -10.931563561504262 rat: replaced -3.0096467287614392 by -106913008/35523441 = -3.0096467287614397 rat: replaced -2.85551478369468 by -222842629/78039389 = -2.85551478369468 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 10.931563561504262 by 47143144/4312571 = 10.931563561504262 rat: replaced 3.0096467287614392 by 106913008/35523441 = 3.0096467287614397 rat: replaced 2.85551478369468 by 222842629/78039389 = 2.85551478369468 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.377275407105497 by 9549455/1775891 = 5.377275407105504 rat: replaced 0.717690916109778 by 6434417/8965443 = 0.7176909161097784 rat: replaced -4.169163712583119 by -93462461/22417556 = -4.16916371258312 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.377275407105497 by -9549455/1775891 = -5.377275407105504 rat: replaced -0.717690916109778 by -6434417/8965443 = -0.7176909161097784 rat: replaced 4.169163712583119 by 93462461/22417556 = 4.16916371258312 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.0480266100457456 by 57131609/27895931 = 2.0480266100457447 rat: replaced -4.233644887262503 by -105225347/24854552 = -4.2336448872625025 rat: replaced 0.397978810615059 by 12920281/32464746 = 0.3979788106150592 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.0480266100457456 by -57131609/27895931 = -2.0480266100457447 rat: replaced 4.233644887262503 by 105225347/24854552 = 4.2336448872625025 rat: replaced -0.397978810615059 by -12920281/32464746 = -0.3979788106150592 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.953496791839244 by 30782863/7786237 = 3.9534967918392416 rat: replaced -6.138870385192661 by -68214477/11111894 = -6.138870385192659 rat: replaced 5.706127053480118 by 34835569/6104941 = 5.706127053480124 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.953496791839244 by -30782863/7786237 = -3.9534967918392416 rat: replaced 6.138870385192661 by 68214477/11111894 = 6.138870385192659 rat: replaced -5.706127053480118 by -34835569/6104941 = -5.706127053480124 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -15.358144771593425 by -100792325/6562793 = -15.358144771593436 rat: replaced 5.662478781186746 by 46497235/8211463 = 5.6624787811867385 rat: replaced -3.2374411872416546 by -19033043/5879039 = -3.2374411872416564 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 15.358144771593425 by 100792325/6562793 = 15.358144771593436 rat: replaced -5.662478781186746 by -46497235/8211463 = -5.6624787811867385 rat: replaced 3.2374411872416546 by 19033043/5879039 = 3.2374411872416564 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.200126462174977 by -29884618/7115171 = -4.200126462174978 rat: replaced -4.09649933640586 by -61340002/14973761 = -4.096499336405864 rat: replaced -2.2258121330676337 by -9124403/4099359 = -2.2258121330676333 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.200126462174977 by 29884618/7115171 = 4.200126462174978 rat: replaced 4.09649933640586 by 61340002/14973761 = 4.096499336405864 rat: replaced 2.2258121330676337 by 9124403/4099359 = 2.2258121330676333 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 10.591536272822562 by 149291665/14095374 = 10.591536272822559 rat: replaced 2.358195583638969 by 120405625/51058371 = 2.358195583638969 rat: replaced 1.5231398688326478 by 33559918/22033379 = 1.523139868832647 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -10.591536272822562 by -149291665/14095374 = -10.591536272822559 rat: replaced -2.358195583638969 by -120405625/51058371 = -2.358195583638969 rat: replaced -1.5231398688326478 by -33559918/22033379 = -1.523139868832647 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -0.4122615334688422 by -37931461/92008247 = -0.4122615334688422 rat: replaced -0.25873798719970886 by -6712481/25943160 = -0.2587379871997089 rat: replaced -1.0208753264815502 by -41373975/40527941 = -1.02087532648155 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 0.4122615334688422 by 37931461/92008247 = 0.4122615334688422 rat: replaced 0.25873798719970886 by 6712481/25943160 = 0.2587379871997089 rat: replaced 1.0208753264815502 by 41373975/40527941 = 1.02087532648155 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.7335713378531565 by 37271590/5535189 = 6.733571337853143 rat: replaced -4.033861600839985 by -42628849/10567752 = -4.033861600839989 rat: replaced -0.5732003326021375 by -5523782/9636739 = -0.5732003326021385 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.7335713378531565 by -37271590/5535189 = -6.733571337853143 rat: replaced 4.033861600839985 by 42628849/10567752 = 4.033861600839989 rat: replaced 0.5732003326021375 by 5523782/9636739 = 0.5732003326021385 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.6438826997253244 by -29014682/7962573 = -3.6438826997253275 rat: replaced -0.6174354248804926 by -4654135/7537849 = -0.6174354248804931 rat: replaced 3.7847168550022086 by 104632127/27645959 = 3.7847168550022086 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.6438826997253244 by 29014682/7962573 = 3.6438826997253275 rat: replaced 0.6174354248804926 by 4654135/7537849 = 0.6174354248804931 rat: replaced -3.7847168550022086 by -104632127/27645959 = -3.7847168550022086 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.068369524583411 by -12554095/6069561 = -2.068369524583409 rat: replaced 4.645066333493263 by 34572165/7442771 = 4.645066333493265 rat: replaced -3.4874240741180307 by -86976747/24940112 = -3.487424074118031 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.068369524583411 by 12554095/6069561 = 2.068369524583409 rat: replaced -4.645066333493263 by -34572165/7442771 = -4.645066333493265 rat: replaced 3.4874240741180307 by 86976747/24940112 = 3.487424074118031 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.3472688390879353 by -43799553/18659794 = -2.3472688390879344 rat: replaced -6.730851318550576 by -56700079/8423909 = -6.7308513185505685 rat: replaced -1.7237516316972126 by -56141927/32569615 = -1.7237516316972123 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.3472688390879353 by 43799553/18659794 = 2.3472688390879344 rat: replaced 6.730851318550576 by 56700079/8423909 = 6.7308513185505685 rat: replaced 1.7237516316972126 by 56141927/32569615 = 1.7237516316972123 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.093135497859818 by -65897683/9290346 = -7.093135497859821 rat: replaced -2.4182102600119615 by -37340564/15441405 = -2.4182102600119615 rat: replaced 1.9379373088187046 by 47248179/24380654 = 1.9379373088187053 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.093135497859818 by 65897683/9290346 = 7.093135497859821 rat: replaced 2.4182102600119615 by 37340564/15441405 = 2.4182102600119615 rat: replaced -1.9379373088187046 by -47248179/24380654 = -1.9379373088187053 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 1.6213813104278787 by 24844121/15322812 = 1.6213813104278771 rat: replaced 10.631581606391782 by 39141284/3681605 = 10.631581606391778 rat: replaced 5.875968105532944 by 29537481/5026828 = 5.8759681055329525 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -1.6213813104278787 by -24844121/15322812 = -1.6213813104278771 rat: replaced -10.631581606391782 by -39141284/3681605 = -10.631581606391778 rat: replaced -5.875968105532944 by -29537481/5026828 = -5.8759681055329525 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.84555232399262 by -82452839/17016190 = -4.845552323992621 rat: replaced 7.486500447411865 by 54842097/7325465 = 7.486500447411871 rat: replaced 3.4623084225442917 by 146613531/42345601 = 3.462308422544292 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.84555232399262 by 82452839/17016190 = 4.845552323992621 rat: replaced -7.486500447411865 by -54842097/7325465 = -7.486500447411871 rat: replaced -3.4623084225442917 by -146613531/42345601 = -3.462308422544292 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 1.8244264186833044 by 25789311/14135572 = 1.8244264186833048 rat: replaced -4.509594644201915 by -104124033/23089444 = -4.509594644201913 rat: replaced -7.5114970881592145 by -35689301/4751290 = -7.511497088159215 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -1.8244264186833044 by -25789311/14135572 = -1.8244264186833048 rat: replaced 4.509594644201915 by 104124033/23089444 = 4.509594644201913 rat: replaced 7.5114970881592145 by 35689301/4751290 = 7.511497088159215 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -8.174428948007959 by -51765119/6332567 = -8.174428948007971 rat: replaced 0.7544729962137917 by 17513934/23213467 = 0.7544729962137926 rat: replaced -4.725369353127716 by -30593421/6474292 = -4.725369353127724 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 8.174428948007959 by 51765119/6332567 = 8.174428948007971 rat: replaced -0.7544729962137917 by -17513934/23213467 = -0.7544729962137926 rat: replaced 4.725369353127716 by 30593421/6474292 = 4.725369353127724 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 8.3448155527743 by 62507884/7490625 = 8.344815552774302 rat: replaced 5.010090519727593 by 22948409/4580438 = 5.01009051972759 rat: replaced -0.6196356045974156 by -11939971/19269343 = -0.6196356045974167 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -8.3448155527743 by -62507884/7490625 = -8.344815552774302 rat: replaced -5.010090519727593 by -22948409/4580438 = -5.01009051972759 rat: replaced 0.6196356045974156 by 11939971/19269343 = 0.6196356045974167 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -8.057018995012367 by -44368505/5506814 = -8.057018995012362 rat: replaced -7.319729166411971 by -16165190/2208441 = -7.319729166411962 rat: replaced 7.687536900873938 by 42134621/5480900 = 7.687536900873944 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 8.057018995012367 by 44368505/5506814 = 8.057018995012362 rat: replaced 7.319729166411971 by 16165190/2208441 = 7.319729166411962 rat: replaced -7.687536900873938 by -42134621/5480900 = -7.687536900873944 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.318670727197779 by -67945390/9283843 = -7.318670727197778 rat: replaced 0.4463823236353779 by 12278685/27507104 = 0.446382323635378 rat: replaced -4.870152049965023 by -25316789/5198357 = -4.870152049965018 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.318670727197779 by 67945390/9283843 = 7.318670727197778 rat: replaced -0.4463823236353779 by -12278685/27507104 = -0.446382323635378 rat: replaced 4.870152049965023 by 25316789/5198357 = 4.870152049965018 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.7257373176524324 by -32329417/11860797 = -2.725737317652431 rat: replaced 2.104568213361114 by 51561494/24499797 = 2.104568213361115 rat: replaced 11.552846660380817 by 69950950/6054867 = 11.552846660380814 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.7257373176524324 by 32329417/11860797 = 2.725737317652431 rat: replaced -2.104568213361114 by -51561494/24499797 = -2.104568213361115 rat: replaced -11.552846660380817 by -69950950/6054867 = -11.552846660380814 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.9156976319859638 by -26825677/6850804 = -3.915697631985968 rat: replaced 6.586248079533215 by 46113965/7001553 = 6.586248079533212 rat: replaced -0.7038674903254836 by -59987059/85224932 = -0.7038674903254837 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.9156976319859638 by 26825677/6850804 = 3.915697631985968 rat: replaced -6.586248079533215 by -46113965/7001553 = -6.586248079533212 rat: replaced 0.7038674903254836 by 59987059/85224932 = 0.7038674903254837 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 8.335516031262074 by 115329658/13835935 = 8.335516031262072 rat: replaced 2.8536161346505207 by 38575571/13518136 = 2.853616134650517 rat: replaced -3.8303218593153527 by -11627371/3035612 = -3.830321859315354 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -8.335516031262074 by -115329658/13835935 = -8.335516031262072 rat: replaced -2.8536161346505207 by -38575571/13518136 = -2.853616134650517 rat: replaced 3.8303218593153527 by 11627371/3035612 = 3.830321859315354 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.443185916625833 by -29897575/5492661 = -5.44318591662584 rat: replaced -3.1707037907125506 by -103918057/32774445 = -3.1707037907125506 rat: replaced -4.140624753125118 by -15461834/3734179 = -4.140624753125118 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.443185916625833 by 29897575/5492661 = 5.44318591662584 rat: replaced 3.1707037907125506 by 103918057/32774445 = 3.1707037907125506 rat: replaced 4.140624753125118 by 15461834/3734179 = 4.140624753125118 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.9526259372727126 by -55162127/18682396 = -2.952625937272714 rat: replaced -3.600114100544887 by -32145300/8928967 = -3.6001141005448893 rat: replaced -1.811411882979822 by -37591182/20752421 = -1.811411882979822 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.9526259372727126 by 55162127/18682396 = 2.952625937272714 rat: replaced 3.600114100544887 by 32145300/8928967 = 3.6001141005448893 rat: replaced 1.811411882979822 by 37591182/20752421 = 1.811411882979822 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -1.4601488670321838 by -19758257/13531673 = -1.4601488670321845 rat: replaced -3.0809226978682696 by -43663123/14172093 = -3.0809226978682682 rat: replaced -6.1359251267577335 by -58684669/9564111 = -6.13592512675773 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 1.4601488670321838 by 19758257/13531673 = 1.4601488670321845 rat: replaced 3.0809226978682696 by 43663123/14172093 = 3.0809226978682682 rat: replaced 6.1359251267577335 by 58684669/9564111 = 6.13592512675773 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.397935724274285 by -72916301/16579665 = -4.3979357242742845 rat: replaced -0.8864970200107235 by -24250243/27355132 = -0.8864970200107242 rat: replaced 1.5789489259603835 by 18194069/11522899 = 1.5789489259603855 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.397935724274285 by 72916301/16579665 = 4.3979357242742845 rat: replaced 0.8864970200107235 by 24250243/27355132 = 0.8864970200107242 rat: replaced -1.5789489259603835 by -18194069/11522899 = -1.5789489259603855 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.854140165054471 by -67109373/9791071 = -6.854140165054466 rat: replaced -1.4339724713183635 by -20471315/14275947 = -1.433972471318365 rat: replaced 7.533309058665195 by 63701684/8456003 = 7.533309058665187 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.854140165054471 by 67109373/9791071 = 6.854140165054466 rat: replaced 1.4339724713183635 by 20471315/14275947 = 1.433972471318365 rat: replaced -7.533309058665195 by -63701684/8456003 = -7.533309058665187 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.6204277242711176 by 4583681/1749211 = 2.620427724271114 rat: replaced 3.541055674038413 by 27925753/7886279 = 3.5410556740384154 rat: replaced -0.3016590070575919 by -8200017/27183067 = -0.30165900705759213 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.6204277242711176 by -4583681/1749211 = -2.620427724271114 rat: replaced -3.541055674038413 by -27925753/7886279 = -3.5410556740384154 rat: replaced 0.3016590070575919 by 8200017/27183067 = 0.30165900705759213 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 1.9775687541154017 by 40992115/20728541 = 1.9775687541154006 rat: replaced 2.8255859062794757 by 15237215/5392586 = 2.8255859062794735 rat: replaced -0.1254859565160291 by -9418454/75055841 = -0.12548595651602917 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -1.9775687541154017 by -40992115/20728541 = -1.9775687541154006 rat: replaced -2.8255859062794757 by -15237215/5392586 = -2.8255859062794735 rat: replaced 0.1254859565160291 by 9418454/75055841 = 0.12548595651602917 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.6860354230078896 by 3842699/820032 = 4.6860354230078825 rat: replaced -8.259588065699072 by -64976833/7866837 = -8.259588065699086 rat: replaced 4.17876850904564 by 44639891/10682547 = 4.178768509045643 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.6860354230078896 by -3842699/820032 = -4.6860354230078825 rat: replaced 8.259588065699072 by 64976833/7866837 = 8.259588065699086 rat: replaced -4.17876850904564 by -44639891/10682547 = -4.178768509045643 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.2242768788656315 by 2414264768/462124199 = 5.2242768788656315 rat: replaced 4.338399157448883 by 75926905/17501134 = 4.338399157448883 rat: replaced 1.4113176463445065 by 32123581/22761411 = 1.4113176463445083 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.2242768788656315 by -2414264768/462124199 = -5.2242768788656315 rat: replaced -4.338399157448883 by -75926905/17501134 = -4.338399157448883 rat: replaced -1.4113176463445065 by -32123581/22761411 = -1.4113176463445083 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.7707158880997955 by 68472568/10113047 = 6.770715888099798 rat: replaced 0.9473939352664232 by 13076329/13802420 = 0.9473939352664243 rat: replaced 0.6697055840770851 by 42523163/63495309 = 0.6697055840770851 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.7707158880997955 by -68472568/10113047 = -6.770715888099798 rat: replaced -0.9473939352664232 by -13076329/13802420 = -0.9473939352664243 rat: replaced -0.6697055840770851 by -42523163/63495309 = -0.6697055840770851 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.876756921714832 by 34451882/8886779 = 3.8767569217148306 rat: replaced -6.306713769124504 by -87295003/13841599 = -6.3067137691245065 rat: replaced 4.899964293596918 by 37230306/7598077 = 4.899964293596919 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.876756921714832 by -34451882/8886779 = -3.8767569217148306 rat: replaced 6.306713769124504 by 87295003/13841599 = 6.3067137691245065 rat: replaced -4.899964293596918 by -37230306/7598077 = -4.899964293596919 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.22562650452835 by 23950337/4583247 = 5.22562650452834 rat: replaced 4.079465805494434 by 56115149/13755514 = 4.079465805494436 rat: replaced 1.2729980741722131 by 31890594/25051565 = 1.2729980741722124 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.22562650452835 by -23950337/4583247 = -5.22562650452834 rat: replaced -4.079465805494434 by -56115149/13755514 = -4.079465805494436 rat: replaced -1.2729980741722131 by -31890594/25051565 = -1.2729980741722124 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.9822428911943417 by 54896647/18407839 = 2.982242891194344 rat: replaced -4.200144829031335 by -159933119/38078001 = -4.200144829031335 rat: replaced -3.554205268409894 by -35179442/9897977 = -3.5542052684098984 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.9822428911943417 by -54896647/18407839 = -2.982242891194344 rat: replaced 4.200144829031335 by 159933119/38078001 = 4.200144829031335 rat: replaced 3.554205268409894 by 35179442/9897977 = 3.5542052684098984 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.202381372845339 by 47922060/6653641 = 7.202381372845334 rat: replaced -2.3776503656910264 by -52411995/22043609 = -2.3776503656910264 rat: replaced 1.5023413536999217 by 45109952/30026433 = 1.5023413536999217 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.202381372845339 by -47922060/6653641 = -7.202381372845334 rat: replaced 2.3776503656910264 by 52411995/22043609 = 2.3776503656910264 rat: replaced -1.5023413536999217 by -45109952/30026433 = -1.5023413536999217 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.5003880027261705 by 12460843/2265448 = 5.500388002726171 rat: replaced 5.123323158011977 by 57224999/11169508 = 5.123323158011973 rat: replaced -1.1658293294618451 by -24169266/20731393 = -1.1658293294618456 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.5003880027261705 by -12460843/2265448 = -5.500388002726171 rat: replaced -5.123323158011977 by -57224999/11169508 = -5.123323158011973 rat: replaced 1.1658293294618451 by 24169266/20731393 = 1.1658293294618456 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.060194743486103 by 41228134/13472389 = 3.0601947434861034 rat: replaced 2.5989050002433416 by 30171039/11609135 = 2.598905000243343 rat: replaced -0.06793047975919086 by -7199363/105981336 = -0.06793047975919081 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.060194743486103 by -41228134/13472389 = -3.0601947434861034 rat: replaced -2.5989050002433416 by -30171039/11609135 = -2.598905000243343 rat: replaced 0.06793047975919086 by 7199363/105981336 = 0.06793047975919081 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 0.40213476944415216 by 26566027/66062497 = 0.4021347694441523 rat: replaced -4.88729439437526 by -14477857/2962346 = -4.887294394375269 rat: replaced -1.6763397005470326 by -1659697/990072 = -1.6763397005470309 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -0.40213476944415216 by -26566027/66062497 = -0.4021347694441523 rat: replaced 4.88729439437526 by 14477857/2962346 = 4.887294394375269 rat: replaced 1.6763397005470326 by 1659697/990072 = 1.6763397005470309 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -0.14434905558851518 by -6538922/45299375 = -0.1443490555885153 rat: replaced 4.193913506246375 by 50616967/12069149 = 4.193913506246381 rat: replaced 0.19904986385136425 by 13511915/67882061 = 0.1990498638513642 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 0.14434905558851518 by 6538922/45299375 = 0.1443490555885153 rat: replaced -4.193913506246375 by -50616967/12069149 = -4.193913506246381 rat: replaced -0.19904986385136425 by -13511915/67882061 = -0.1990498638513642 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.4966105179358733 by 37316289/10672132 = 3.4966105179358724 rat: replaced -7.658682303261829 by -60322807/7876395 = -7.658682303261835 rat: replaced 0.701378210784391 by 19069277/27188294 = 0.7013782107843912 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.4966105179358733 by -37316289/10672132 = -3.4966105179358724 rat: replaced 7.658682303261829 by 60322807/7876395 = 7.658682303261835 rat: replaced -0.701378210784391 by -19069277/27188294 = -0.7013782107843912 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.579535894715932 by 23790120/4263817 = 5.5795358947159315 rat: replaced 4.508378173849159 by 29352549/6510667 = 4.508378173849161 rat: replaced -2.2547001041305634 by -15410174/6834689 = -2.254700104130561 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.579535894715932 by -23790120/4263817 = -5.5795358947159315 rat: replaced -4.508378173849159 by -29352549/6510667 = -4.508378173849161 rat: replaced 2.2547001041305634 by 15410174/6834689 = 2.254700104130561 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.880473805587475 by 28584530/5856917 = 4.880473805587479 rat: replaced -3.1501095432394535 by -29176617/9262096 = -3.150109543239457 rat: replaced 3.9422635852590693 by 67105057/17021961 = 3.942263585259066 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.880473805587475 by -28584530/5856917 = -4.880473805587479 rat: replaced 3.1501095432394535 by 29176617/9262096 = 3.150109543239457 rat: replaced -3.9422635852590693 by -67105057/17021961 = -3.942263585259066 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.517724857184472 by 18976017/2911448 = 6.517724857184466 rat: replaced -5.9151856155328035 by -75486239/12761432 = -5.915185615532803 rat: replaced 2.0674251139236404 by 28062784/13573785 = 2.0674251139236404 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.517724857184472 by -18976017/2911448 = -6.517724857184466 rat: replaced 5.9151856155328035 by 75486239/12761432 = 5.915185615532803 rat: replaced -2.0674251139236404 by -28062784/13573785 = -2.0674251139236404 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.815690281568875 by 16405771/3406733 = 4.815690281568881 rat: replaced -10.97331811720711 by -9202049/838584 = -10.973318117207102 rat: replaced 2.1642933728460125 by 88574269/40925260 = 2.1642933728460125 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.815690281568875 by -16405771/3406733 = -4.815690281568881 rat: replaced 10.97331811720711 by 9202049/838584 = 10.973318117207102 rat: replaced -2.1642933728460125 by -88574269/40925260 = -2.1642933728460125 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.988024257039899 by 93539541/18752824 = 4.9880242570399 rat: replaced -1.6152568522751487 by -31367243/19419353 = -1.6152568522751505 rat: replaced 7.810946993435316 by 43361449/5551369 = 7.810946993435313 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.988024257039899 by -93539541/18752824 = -4.9880242570399 rat: replaced 1.6152568522751487 by 31367243/19419353 = 1.6152568522751505 rat: replaced -7.810946993435316 by -43361449/5551369 = -7.810946993435313 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.566737540734262 by 25758779/5640521 = 4.566737540734269 rat: replaced -3.495166311249677 by -32902884/9413825 = -3.495166311249678 rat: replaced -0.17413308785775294 by -22573109/129631360 = -0.17413308785775294 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.566737540734262 by -25758779/5640521 = -4.566737540734269 rat: replaced 3.495166311249677 by 32902884/9413825 = 3.495166311249678 rat: replaced 0.17413308785775294 by 22573109/129631360 = 0.17413308785775294 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.7851112700289535 by 33790781/7061650 = 4.785111270028959 rat: replaced -4.177377416087873 by -16268011/3894312 = -4.177377416087873 rat: replaced 1.4723849502894693 by 13830823/9393483 = 1.472384950289472 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.7851112700289535 by -33790781/7061650 = -4.785111270028959 rat: replaced 4.177377416087873 by 16268011/3894312 = 4.177377416087873 rat: replaced -1.4723849502894693 by -13830823/9393483 = -1.472384950289472 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.308857487078854 by 67820596/12774989 = 5.308857487078853 rat: replaced -6.2209213525603095 by -46195859/7425887 = -6.220921352560307 rat: replaced -0.3714547973260649 by -4470457/12034996 = -0.37145479732606473 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.308857487078854 by -67820596/12774989 = -5.308857487078853 rat: replaced 6.2209213525603095 by 46195859/7425887 = 6.220921352560307 rat: replaced 0.3714547973260649 by 4470457/12034996 = 0.37145479732606473 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 1.9835850046784533 by 21472631/10825163 = 1.9835850046784516 rat: replaced -1.373450856057186 by -52848896/38478913 = -1.3734508560571865 rat: replaced 3.323286531453668 by 163935827/49329429 = 3.323286531453668 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -1.9835850046784533 by -21472631/10825163 = -1.9835850046784516 rat: replaced 1.373450856057186 by 52848896/38478913 = 1.3734508560571865 rat: replaced -3.323286531453668 by -163935827/49329429 = -3.323286531453668 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.464351282357466 by 43891975/9831658 = 4.464351282357462 rat: replaced 0.2896071433038294 by 5673026/19588695 = 0.2896071433038291 rat: replaced -0.7501218522085844 by -15271490/20358679 = -0.7501218522085839 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.464351282357466 by -43891975/9831658 = -4.464351282357462 rat: replaced -0.2896071433038294 by -5673026/19588695 = -0.2896071433038291 rat: replaced 0.7501218522085844 by 15271490/20358679 = 0.7501218522085839 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.813548907760402 by 596368282/102582483 = 5.813548907760402 rat: replaced 0.1992884337909857 by 35583749/178554010 = 0.1992884337909857 rat: replaced 5.267189401944837 by 54664772/10378357 = 5.267189401944836 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.813548907760402 by -596368282/102582483 = -5.813548907760402 rat: replaced -0.1992884337909857 by -35583749/178554010 = -0.1992884337909857 rat: replaced -5.267189401944837 by -54664772/10378357 = -5.267189401944836 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.758658906265812 by 40489844/8508667 = 4.758658906265811 rat: replaced 4.468203132018874 by 25861781/5787960 = 4.46820313201888 rat: replaced 0.39601483868966747 by 12883148/32531983 = 0.39601483868966736 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.758658906265812 by -40489844/8508667 = -4.758658906265811 rat: replaced -4.468203132018874 by -25861781/5787960 = -4.46820313201888 rat: replaced -0.39601483868966747 by -12883148/32531983 = -0.39601483868966736 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.009392075362845 by 55859536/13932171 = 4.009392075362842 rat: replaced -4.576098139729729 by -42569487/9302573 = -4.576098139729728 rat: replaced 1.6288414057131615 by 19534651/11992973 = 1.6288414057131622 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.009392075362845 by -55859536/13932171 = -4.009392075362842 rat: replaced 4.576098139729729 by 42569487/9302573 = 4.576098139729728 rat: replaced -1.6288414057131615 by -19534651/11992973 = -1.6288414057131622 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.5547860716874045 by 41487514/7468787 = 5.554786071687411 rat: replaced 1.0110650331294302 by 28113920/27806243 = 1.0110650331294306 rat: replaced 1.6630265283349022 by 15336725/9222177 = 1.663026528334904 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.5547860716874045 by -41487514/7468787 = -5.554786071687411 rat: replaced -1.0110650331294302 by -28113920/27806243 = -1.0110650331294306 rat: replaced -1.6630265283349022 by -15336725/9222177 = -1.663026528334904 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.012127980946895 by 200514913/28595444 = 7.012127980946895 rat: replaced -3.3174850417858672 by -46519643/14022563 = -3.3174850417858703 rat: replaced -2.4121327910539563 by -19136477/7933426 = -2.412132791053953 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.012127980946895 by -200514913/28595444 = -7.012127980946895 rat: replaced 3.3174850417858672 by 46519643/14022563 = 3.3174850417858703 rat: replaced 2.4121327910539563 by 19136477/7933426 = 2.412132791053953 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.229581090057099 by 47845474/9149007 = 5.229581090057096 rat: replaced 6.1923305729524065 by 60601689/9786572 = 6.192330572952408 rat: replaced -1.9722606766450246 by -6997999/3548212 = -1.9722606766450257 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.229581090057099 by -47845474/9149007 = -5.229581090057096 rat: replaced -6.1923305729524065 by -60601689/9786572 = -6.192330572952408 rat: replaced 1.9722606766450246 by 6997999/3548212 = 1.9722606766450257 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.555066211294504 by 11157057/1702051 = 6.555066211294491 rat: replaced -9.441986374024108 by -106467489/11275963 = -9.441986374024108 rat: replaced 5.604839998327409 by 15012407/2678472 = 5.604839998327405 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.555066211294504 by -11157057/1702051 = -6.555066211294491 rat: replaced 9.441986374024108 by 106467489/11275963 = 9.441986374024108 rat: replaced -5.604839998327409 by -15012407/2678472 = -5.604839998327405 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.513032729866594 by 27306786/6050651 = 4.5130327298665875 rat: replaced -0.30908504736153436 by -14995262/48515003 = -0.30908504736153475 rat: replaced 4.979583336231922 by 239794898/48155615 = 4.979583336231922 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.513032729866594 by -27306786/6050651 = -4.5130327298665875 rat: replaced 0.30908504736153436 by 14995262/48515003 = 0.30908504736153475 rat: replaced -4.979583336231922 by -239794898/48155615 = -4.979583336231922 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.1565832737197246 by 20879595/9681794 = 2.156583273719726 rat: replaced 2.454044740413401 by 61563921/25086715 = 2.4540447404134023 rat: replaced 3.670048032048756 by 36626327/9979795 = 3.6700480320487543 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.1565832737197246 by -20879595/9681794 = -2.156583273719726 rat: replaced -2.454044740413401 by -61563921/25086715 = -2.4540447404134023 rat: replaced -3.670048032048756 by -36626327/9979795 = -3.6700480320487543 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.563579672734224 by 61600861/11072163 = 5.5635796727342255 rat: replaced -0.27107185920101373 by -9675302/35692757 = -0.2710718592010138 rat: replaced 1.768491997263987 by 27737269/15684136 = 1.768491997263987 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.563579672734224 by -61600861/11072163 = -5.5635796727342255 rat: replaced 0.27107185920101373 by 9675302/35692757 = 0.2710718592010138 rat: replaced -1.768491997263987 by -27737269/15684136 = -1.768491997263987 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 1.676417441491656 by 17468429/10420095 = 1.6764174414916562 rat: replaced -3.3593153544680034 by -32192917/9583178 = -3.3593153544680066 rat: replaced -3.2239120456791897 by -41406266/12843485 = -3.2239120456791905 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -1.676417441491656 by -17468429/10420095 = -1.6764174414916562 rat: replaced 3.3593153544680034 by 32192917/9583178 = 3.3593153544680066 rat: replaced 3.2239120456791897 by 41406266/12843485 = 3.2239120456791905 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.539643627151234 by 533014589/81505143 = 6.539643627151234 rat: replaced -2.613860151288385 by -17248309/6598788 = -2.613860151288388 rat: replaced 3.534968865929833 by 55735186/15766811 = 3.534968865929832 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.539643627151234 by -533014589/81505143 = -6.539643627151234 rat: replaced 2.613860151288385 by 17248309/6598788 = 2.613860151288388 rat: replaced -3.534968865929833 by -55735186/15766811 = -3.534968865929832 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.6462768349204175 by 89275925/11675738 = 7.646276834920414 rat: replaced -5.800907412205349 by -47175050/8132357 = -5.800907412205342 rat: replaced 2.674374545931963 by 35423527/13245537 = 2.6743745459319617 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.6462768349204175 by -89275925/11675738 = -7.646276834920414 rat: replaced 5.800907412205349 by 47175050/8132357 = 5.800907412205342 rat: replaced -2.674374545931963 by -35423527/13245537 = -2.6743745459319617 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.719565560159638 by 73843564/15646263 = 4.719565560159637 rat: replaced -1.279990017412314 by -111635434/87215863 = -1.279990017412314 rat: replaced 1.0574001706394602 by 135173399/127835613 = 1.0574001706394602 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.719565560159638 by -73843564/15646263 = -4.719565560159637 rat: replaced 1.279990017412314 by 111635434/87215863 = 1.279990017412314 rat: replaced -1.0574001706394602 by -135173399/127835613 = -1.0574001706394602 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.114276299972686 by 52879847/12852770 = 4.1142762999726905 rat: replaced -2.992324453368224 by -34105781/11397755 = -2.992324453368229 rat: replaced 1.957374663109614 by 17471767/8926123 = 1.9573746631096165 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.114276299972686 by -52879847/12852770 = -4.1142762999726905 rat: replaced 2.992324453368224 by 34105781/11397755 = 2.992324453368229 rat: replaced -1.957374663109614 by -17471767/8926123 = -1.9573746631096165 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 8.062536090869726 by 40532312/5027241 = 8.062536090869724 rat: replaced 9.55764400617629 by 79732055/8342229 = 9.557644006176288 rat: replaced 2.800626207456713 by 59071847/21092371 = 2.800626207456715 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -8.062536090869726 by -40532312/5027241 = -8.062536090869724 rat: replaced -9.55764400617629 by -79732055/8342229 = -9.557644006176288 rat: replaced -2.800626207456713 by -59071847/21092371 = -2.800626207456715 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 1.8857194975339242 by 19165908/10163711 = 1.8857194975339224 rat: replaced -3.494886209340692 by -23435627/6705691 = -3.494886209340693 rat: replaced 4.002228700066419 by 312163773/77997485 = 4.002228700066419 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -1.8857194975339242 by -19165908/10163711 = -1.8857194975339224 rat: replaced 3.494886209340692 by 23435627/6705691 = 3.494886209340693 rat: replaced -4.002228700066419 by -312163773/77997485 = -4.002228700066419 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.2928186981033147 by 27510337/11998479 = 2.292818698103318 rat: replaced 5.677526887473426 by 61865836/10896617 = 5.677526887473424 rat: replaced 1.684992444584451 by 32768011/19446978 = 1.684992444584449 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.2928186981033147 by -27510337/11998479 = -2.292818698103318 rat: replaced -5.677526887473426 by -61865836/10896617 = -5.677526887473424 rat: replaced -1.684992444584451 by -32768011/19446978 = -1.684992444584449 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.16431633912082 by 72552561/14048822 = 5.164316339120817 rat: replaced -10.496531611581553 by -36809405/3506816 = -10.49653161158156 rat: replaced 4.72282452239298 by 80797331/17107841 = 4.722824522392978 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.16431633912082 by -72552561/14048822 = -5.164316339120817 rat: replaced 10.496531611581553 by 36809405/3506816 = 10.49653161158156 rat: replaced -4.72282452239298 by -80797331/17107841 = -4.722824522392978 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.8931314313770775 by 33186289/11470716 = 2.8931314313770824 rat: replaced 0.4710590119169602 by 6485947/13768863 = 0.47105901191696076 rat: replaced 3.6019361993383057 by 50801791/14104023 = 3.601936199338302 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.8931314313770775 by -33186289/11470716 = -2.8931314313770824 rat: replaced -0.4710590119169602 by -6485947/13768863 = -0.47105901191696076 rat: replaced -3.6019361993383057 by -50801791/14104023 = -3.601936199338302 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.0337472334713778 by 33506126/16475069 = 2.033747233471374 rat: replaced -7.403204236627476 by -83806678/11320325 = -7.403204236627482 rat: replaced 4.0652693526730435 by 20793869/5115004 = 4.065269352673038 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.0337472334713778 by -33506126/16475069 = -2.033747233471374 rat: replaced 7.403204236627476 by 83806678/11320325 = 7.403204236627482 rat: replaced -4.0652693526730435 by -20793869/5115004 = -4.065269352673038 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.010886500701465 by 68151355/16991594 = 4.0108865007014645 rat: replaced -17.077985483290835 by -84515193/4948780 = -17.07798548329083 rat: replaced 5.214887665025869 by 85829917/16458632 = 5.214887665025866 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.010886500701465 by -68151355/16991594 = -4.0108865007014645 rat: replaced 17.077985483290835 by 84515193/4948780 = 17.07798548329083 rat: replaced -5.214887665025869 by -85829917/16458632 = -5.214887665025866 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.126409533674541 by 88498859/14445469 = 6.126409533674538 rat: replaced -9.093719782373292 by -34222623/3763325 = -9.0937197823733 rat: replaced 0.6269933303923025 by 39762458/63417673 = 0.6269933303923024 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.126409533674541 by -88498859/14445469 = -6.126409533674538 rat: replaced 9.093719782373292 by 34222623/3763325 = 9.0937197823733 rat: replaced -0.6269933303923025 by -39762458/63417673 = -0.6269933303923024 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.06250268042923 by 96549120/15925621 = 6.062502680429228 rat: replaced -3.4143322342908053 by -101774644/29808067 = -3.4143322342908045 rat: replaced 2.4045490635879117 by 23010087/9569398 = 2.404549063587908 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.06250268042923 by -96549120/15925621 = -6.062502680429228 rat: replaced 3.4143322342908053 by 101774644/29808067 = 3.4143322342908045 rat: replaced -2.4045490635879117 by -23010087/9569398 = -2.404549063587908 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.565036856102044 by 20416060/2698739 = 7.565036856102053 rat: replaced 3.976002093061023 by 34208198/8603667 = 3.976002093061017 rat: replaced 2.281481584153983 by 40162328/17603617 = 2.2814815841539837 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.565036856102044 by -20416060/2698739 = -7.565036856102053 rat: replaced -3.976002093061023 by -34208198/8603667 = -3.976002093061017 rat: replaced -2.281481584153983 by -40162328/17603617 = -2.2814815841539837 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.6112722463774856 by 22034174/6101499 = 3.6112722463774887 rat: replaced -5.70056192173813 by -73641837/12918347 = -5.70056192173813 rat: replaced 2.823532092245244 by 22926242/8119703 = 2.823532092245246 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.6112722463774856 by -22034174/6101499 = -3.6112722463774887 rat: replaced 5.70056192173813 by 73641837/12918347 = 5.70056192173813 rat: replaced -2.823532092245244 by -22926242/8119703 = -2.823532092245246 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.0995732844378545 by 31560351/15031793 = 2.0995732844378576 rat: replaced 0.1970577845620145 by 2678209/13590983 = 0.1970577845620144 rat: replaced 3.8310541511928147 by 175871226/45906745 = 3.831054151192815 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.0995732844378545 by -31560351/15031793 = -2.0995732844378576 rat: replaced -0.1970577845620145 by -2678209/13590983 = -0.1970577845620144 rat: replaced -3.8310541511928147 by -175871226/45906745 = -3.831054151192815 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.738547581549171 by 72170321/15230473 = 4.738547581549175 rat: replaced -6.901070098173594 by -50249369/7281388 = -6.90107009817359 rat: replaced 5.401456837533168 by 87637195/16224733 = 5.401456837533166 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.738547581549171 by -72170321/15230473 = -4.738547581549175 rat: replaced 6.901070098173594 by 50249369/7281388 = 6.90107009817359 rat: replaced -5.401456837533168 by -87637195/16224733 = -5.401456837533166 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.844116536524199 by 34523694/7126933 = 4.844116536524196 rat: replaced -6.375747560117592 by -35976367/5642690 = -6.3757475601176035 rat: replaced -0.40324557998005384 by -16057016/39819447 = -0.40324557998005345 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.844116536524199 by -34523694/7126933 = -4.844116536524196 rat: replaced 6.375747560117592 by 35976367/5642690 = 6.3757475601176035 rat: replaced 0.40324557998005384 by 16057016/39819447 = 0.40324557998005345 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.695820013517663 by 55442719/9733931 = 5.695820013517663 rat: replaced -5.174843788682897 by -29200800/5642837 = -5.1748437886828915 rat: replaced 1.6627666302109583 by 13467289/8099326 = 1.6627666302109583 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.695820013517663 by -55442719/9733931 = -5.695820013517663 rat: replaced 5.174843788682897 by 29200800/5642837 = 5.1748437886828915 rat: replaced -1.6627666302109583 by -13467289/8099326 = -1.6627666302109583 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.993432176382572 by 61147618/12245609 = 4.993432176382571 rat: replaced -8.099174711081337 by -99532961/12289272 = -8.09917471108134 rat: replaced 5.573190145668713 by 40186474/7210677 = 5.573190145668708 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.993432176382572 by -61147618/12245609 = -4.993432176382571 rat: replaced 8.099174711081337 by 99532961/12289272 = 8.09917471108134 rat: replaced -5.573190145668713 by -40186474/7210677 = -5.573190145668708 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.8687475880429263 by 7180917/2503154 = 2.868747588042925 rat: replaced -3.6879581340329763 by -46915135/12721168 = -3.6879581340329755 rat: replaced 3.7171557960865726 by 29394112/7907689 = 3.717155796086568 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.8687475880429263 by -7180917/2503154 = -2.868747588042925 rat: replaced 3.6879581340329763 by 46915135/12721168 = 3.6879581340329755 rat: replaced -3.7171557960865726 by -29394112/7907689 = -3.717155796086568 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 1.5426883787124979 by 28569043/18518998 = 1.5426883787124983 rat: replaced 4.262350359297414 by 26685851/6260830 = 4.262350359297409 rat: replaced 2.872315502892985 by 58257271/20282337 = 2.872315502892985 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -1.5426883787124979 by -28569043/18518998 = -1.5426883787124983 rat: replaced -4.262350359297414 by -26685851/6260830 = -4.262350359297409 rat: replaced -2.872315502892985 by -58257271/20282337 = -2.872315502892985 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.3934480481097262 by 191463003/79994635 = 2.3934480481097262 rat: replaced 3.5604730492127494 by 58896893/16541873 = 3.5604730492127463 rat: replaced 1.5517420256996788 by 11429899/7365850 = 1.5517420256996817 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.3934480481097262 by -191463003/79994635 = -2.3934480481097262 rat: replaced -3.5604730492127494 by -58896893/16541873 = -3.5604730492127463 rat: replaced -1.5517420256996788 by -11429899/7365850 = -1.5517420256996817 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.6594012974131775 by 31061441/8488121 = 3.659401297413173 rat: replaced -12.142067696120385 by -22850995/1881969 = -12.142067696120392 rat: replaced 3.1099405464555043 by 24393139/7843603 = 3.1099405464555 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.6594012974131775 by -31061441/8488121 = -3.659401297413173 rat: replaced 12.142067696120385 by 22850995/1881969 = 12.142067696120392 rat: replaced -3.1099405464555043 by -24393139/7843603 = -3.1099405464555 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.5767953506379095 by 65740855/14363949 = 4.576795350637906 rat: replaced 7.743523143886974 by 214037492/27640841 = 7.743523143886975 rat: replaced 2.801284385811092 by 69219359/24709865 = 2.801284385811092 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.5767953506379095 by -65740855/14363949 = -4.576795350637906 rat: replaced -7.743523143886974 by -214037492/27640841 = -7.743523143886975 rat: replaced -2.801284385811092 by -69219359/24709865 = -2.801284385811092 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.649067833402873 by 5514794/1186215 = 4.649067833402882 rat: replaced -11.025881088905377 by -14777382/1340245 = -11.025881088905386 rat: replaced 0.7093717979390686 by 15346907/21634504 = 0.7093717979390699 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.649067833402873 by -5514794/1186215 = -4.649067833402882 rat: replaced 11.025881088905377 by 14777382/1340245 = 11.025881088905386 rat: replaced -0.7093717979390686 by -15346907/21634504 = -0.7093717979390699 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.390586198401875 by 39612694/6198601 = 6.3905861984018655 rat: replaced -2.6940993786425533 by -34944177/12970634 = -2.694099378642555 rat: replaced 2.761120959778002 by 171089627/61963829 = 2.761120959778002 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.390586198401875 by -39612694/6198601 = -6.3905861984018655 rat: replaced 2.6940993786425533 by 34944177/12970634 = 2.694099378642555 rat: replaced -2.761120959778002 by -171089627/61963829 = -2.761120959778002 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.22506104471171 by 67421059/10830586 = 6.225061044711708 rat: replaced -5.452568789187725 by -42081939/7717819 = -5.452568789187723 rat: replaced 0.859615681853414 by 3765176/4380069 = 0.8596156818534137 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.22506104471171 by -67421059/10830586 = -6.225061044711708 rat: replaced 5.452568789187725 by 42081939/7717819 = 5.452568789187723 rat: replaced -0.859615681853414 by -3765176/4380069 = -0.8596156818534137 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.338589535763365 by 14051173/3238650 = 4.338589535763358 rat: replaced 6.418228929376846 by 98978987/15421542 = 6.418228929376842 rat: replaced 4.731208375067015 by 9697572/2049703 = 4.7312083750670215 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.338589535763365 by -14051173/3238650 = -4.338589535763358 rat: replaced -6.418228929376846 by -98978987/15421542 = -6.418228929376842 rat: replaced -4.731208375067015 by -9697572/2049703 = -4.7312083750670215 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.47337091146567 by 30057277/6719156 = 4.473370911465667 rat: replaced -6.991703603217562 by -90524579/12947428 = -6.991703603217566 rat: replaced 2.9701276387703257 by 15260795/5138094 = 2.97012763877033 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.47337091146567 by -30057277/6719156 = -4.473370911465667 rat: replaced 6.991703603217562 by 90524579/12947428 = 6.991703603217566 rat: replaced -2.9701276387703257 by -15260795/5138094 = -2.97012763877033 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 1.4678817714227352 by 20782367/14158066 = 1.4678817714227352 rat: replaced -5.065549347969458 by -50510173/9971312 = -5.065549347969455 rat: replaced 2.9703853997865837 by 96990536/32652509 = 2.9703853997865832 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -1.4678817714227352 by -20782367/14158066 = -1.4678817714227352 rat: replaced 5.065549347969458 by 50510173/9971312 = 5.065549347969455 rat: replaced -2.9703853997865837 by -96990536/32652509 = -2.9703853997865832 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.5739833916971815 by 23371285/5109613 = 4.57398339169718 rat: replaced -14.499858739132385 by -132156686/9114343 = -14.499858739132376 rat: replaced 1.3690311330286449 by 39440971/28809404 = 1.3690311330286458 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.5739833916971815 by -23371285/5109613 = -4.57398339169718 rat: replaced 14.499858739132385 by 132156686/9114343 = 14.499858739132376 rat: replaced -1.3690311330286449 by -39440971/28809404 = -1.3690311330286458 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.040936804924565 by 8409832/2081159 = 4.040936804924564 rat: replaced 1.415141099509726 by 37929925/26802928 = 1.415141099509725 rat: replaced 0.18988186610849667 by 5909354/31121213 = 0.18988186610849647 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.040936804924565 by -8409832/2081159 = -4.040936804924564 rat: replaced -1.415141099509726 by -37929925/26802928 = -1.415141099509725 rat: replaced -0.18988186610849667 by -5909354/31121213 = -0.18988186610849647 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 1.9396878929593542 by 18749479/9666235 = 1.939687892959358 rat: replaced -23.287170994592937 by -153499041/6591571 = -23.287170994592945 rat: replaced 4.189988415042075 by 54782896/13074713 = 4.189988415042074 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -1.9396878929593542 by -18749479/9666235 = -1.939687892959358 rat: replaced 23.287170994592937 by 153499041/6591571 = 23.287170994592945 rat: replaced -4.189988415042075 by -54782896/13074713 = -4.189988415042074 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.94493194429545 by 31208588/6311227 = 4.944931944295459 rat: replaced 0.6803208445627886 by 20369217/29940604 = 0.6803208445627884 rat: replaced 5.506223157986023 by 59935173/10884988 = 5.506223157986026 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.94493194429545 by -31208588/6311227 = -4.944931944295459 rat: replaced -0.6803208445627886 by -20369217/29940604 = -0.6803208445627884 rat: replaced -5.506223157986023 by -59935173/10884988 = -5.506223157986026 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.8651839647849107 by 67854937/23682576 = 2.865183964784912 rat: replaced 9.80209464301781 by 78986994/8058175 = 9.802094643017805 rat: replaced 4.279312153059402 by 62453039/14594177 = 4.279312153059402 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.8651839647849107 by -67854937/23682576 = -2.865183964784912 rat: replaced -9.80209464301781 by -78986994/8058175 = -9.802094643017805 rat: replaced -4.279312153059402 by -62453039/14594177 = -4.279312153059402 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.283066789417886 by 29857458/5651539 = 5.283066789417891 rat: replaced -1.3205833951344057 by -22618337/17127534 = -1.3205833951344075 rat: replaced 1.7038914521565791 by 33252585/19515671 = 1.7038914521565771 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.283066789417886 by -29857458/5651539 = -5.283066789417891 rat: replaced 1.3205833951344057 by 22618337/17127534 = 1.3205833951344075 rat: replaced -1.7038914521565791 by -33252585/19515671 = -1.7038914521565771 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.1624239734421993 by 12398299/3920505 = 3.162423973442197 rat: replaced -3.231149203165628 by -39863111/12337131 = -3.231149203165631 rat: replaced 1.0106246747798657 by 5772199/5711516 = 1.0106246747798657 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.1624239734421993 by -12398299/3920505 = -3.162423973442197 rat: replaced 3.231149203165628 by 39863111/12337131 = 3.231149203165631 rat: replaced -1.0106246747798657 by -5772199/5711516 = -1.0106246747798657 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.260250581848693 by 23339485/3728203 = 6.260250581848681 rat: replaced 0.14355050646797363 by 4987413/34743263 = 0.14355050646797338 rat: replaced 2.626215597553756 by 14424933/5492669 = 2.6262155975537578 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.260250581848693 by -23339485/3728203 = -6.260250581848681 rat: replaced -0.14355050646797363 by -4987413/34743263 = -0.14355050646797338 rat: replaced -2.626215597553756 by -14424933/5492669 = -2.6262155975537578 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.538867100914266 by 66580174/14668897 = 4.538867100914268 rat: replaced -15.48729353219952 by -81048120/5233201 = -15.487293532199509 rat: replaced 1.018331760343636 by 254515553/249933826 = 1.018331760343636 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.538867100914266 by -66580174/14668897 = -4.538867100914268 rat: replaced 15.48729353219952 by 81048120/5233201 = 15.487293532199509 rat: replaced -1.018331760343636 by -254515553/249933826 = -1.018331760343636 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.032081330954871 by 20066224/9874715 = 2.032081330954868 rat: replaced -0.33401981305819906 by -12003335/35935997 = -0.334019813058199 rat: replaced 3.3252785877502813 by 19903312/5985457 = 3.3252785877502755 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.032081330954871 by -20066224/9874715 = -2.032081330954868 rat: replaced 0.33401981305819906 by 12003335/35935997 = 0.334019813058199 rat: replaced -3.3252785877502813 by -19903312/5985457 = -3.3252785877502755 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.9417737178456225 by 22953259/4644741 = 4.941773717845623 rat: replaced -7.858254690483755 by -47772507/6079277 = -7.858254690483753 rat: replaced 3.4355185517082885 by 32161363/9361429 = 3.4355185517082916 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.9417737178456225 by -22953259/4644741 = -4.941773717845623 rat: replaced 7.858254690483755 by 47772507/6079277 = 7.858254690483753 rat: replaced -3.4355185517082885 by -32161363/9361429 = -3.4355185517082916 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.7909148959082204 by 23973331/8589775 = 2.7909148959082164 rat: replaced -5.3287662327317875 by -45492061/8537072 = -5.328766232731784 rat: replaced 3.31126285749006 by 66322850/20029473 = 3.3112628574900596 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.7909148959082204 by -23973331/8589775 = -2.7909148959082164 rat: replaced 5.3287662327317875 by 45492061/8537072 = 5.328766232731784 rat: replaced -3.31126285749006 by -66322850/20029473 = -3.3112628574900596 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 0.4751374476318917 by 4179605/8796623 = 0.47513744763189236 rat: replaced -7.140371813721 by -47429677/6642466 = -7.140371813720988 rat: replaced 4.116548202062164 by 35415788/8603273 = 4.116548202062169 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -0.4751374476318917 by -4179605/8796623 = -0.47513744763189236 rat: replaced 7.140371813721 by 47429677/6642466 = 7.140371813720988 rat: replaced -4.116548202062164 by -35415788/8603273 = -4.116548202062169 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.9512188800140065 by 84623401/17091428 = 4.951218880014005 rat: replaced -4.558380234331413 by -18864068/4138327 = -4.55838023433141 rat: replaced 4.8842761265178805 by 116702647/23893540 = 4.884276126517879 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.9512188800140065 by -84623401/17091428 = -4.951218880014005 rat: replaced 4.558380234331413 by 18864068/4138327 = 4.55838023433141 rat: replaced -4.8842761265178805 by -116702647/23893540 = -4.884276126517879 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 2.9180848576347245 by 42955709/14720514 = 2.9180848576347267 rat: replaced 4.002784295520063 by 31773041/7937735 = 4.00278429552007 rat: replaced 2.6366581696424114 by 42853977/16253141 = 2.6366581696424096 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -2.9180848576347245 by -42955709/14720514 = -2.9180848576347267 rat: replaced -4.002784295520063 by -31773041/7937735 = -4.00278429552007 rat: replaced -2.6366581696424114 by -42853977/16253141 = -2.6366581696424096 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.740893237795484 by 340258376/50476749 = 6.740893237795484 rat: replaced -10.82781999447695 by -289013800/26691781 = -10.827819994476952 rat: replaced 3.988528245051679 by 42953737/10769320 = 3.988528245051684 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.740893237795484 by -340258376/50476749 = -6.740893237795484 rat: replaced 10.82781999447695 by 289013800/26691781 = 10.827819994476952 rat: replaced -3.988528245051679 by -42953737/10769320 = -3.988528245051684 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.2364798815076785 by 50782565/9697844 = 5.236479881507684 rat: replaced -10.570809920095098 by -95788948/9061647 = -10.5708099200951 rat: replaced 4.451091537978642 by 62416486/14022737 = 4.451091537978641 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.2364798815076785 by -50782565/9697844 = -5.236479881507684 rat: replaced 10.570809920095098 by 95788948/9061647 = 10.5708099200951 rat: replaced -4.451091537978642 by -62416486/14022737 = -4.451091537978641 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.56841689570016 by 178315237/32022609 = 5.568416895700159 rat: replaced -7.264722729902744 by -37654213/5183159 = -7.264722729902749 rat: replaced 5.716054090665307 by 19950675/3490288 = 5.716054090665297 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.56841689570016 by -178315237/32022609 = -5.568416895700159 rat: replaced 7.264722729902744 by 37654213/5183159 = 7.264722729902749 rat: replaced -5.716054090665307 by -19950675/3490288 = -5.716054090665297 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.973643892775313 by 127432836/21332513 = 5.973643892775314 rat: replaced -2.4455709761771405 by -15944910/6519913 = -2.445570976177136 rat: replaced 6.078572470210029 by 97204203/15991288 = 6.078572470210029 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.973643892775313 by -127432836/21332513 = -5.973643892775314 rat: replaced 2.4455709761771405 by 15944910/6519913 = 2.445570976177136 rat: replaced -6.078572470210029 by -97204203/15991288 = -6.078572470210029 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.839230177730686 by 57714752/8438779 = 6.8392301777306885 rat: replaced 2.6096233479955817 by 46680658/17887891 = 2.60962334799558 rat: replaced 3.4281119464795218 by 5355801/1562318 = 3.4281119464795258 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.839230177730686 by -57714752/8438779 = -6.8392301777306885 rat: replaced -2.6096233479955817 by -46680658/17887891 = -2.60962334799558 rat: replaced -3.4281119464795218 by -5355801/1562318 = -3.4281119464795258 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.352432582240606 by 74847769/17196767 = 4.352432582240604 rat: replaced -7.293943370916146 by -44706169/6129218 = -7.29394337091616 rat: replaced 1.63467862622967 by 30014671/18361206 = 1.6346786262296713 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.352432582240606 by -74847769/17196767 = -4.352432582240604 rat: replaced 7.293943370916146 by 44706169/6129218 = 7.29394337091616 rat: replaced -1.63467862622967 by -30014671/18361206 = -1.6346786262296713 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.780006756780276 by 39093601/10342204 = 3.7800067567802764 rat: replaced 7.210012009823576 by 103210947/14314948 = 7.210012009823577 rat: replaced 2.7082010066523035 by 6657427/2458247 = 2.7082010066523012 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.780006756780276 by -39093601/10342204 = -3.7800067567802764 rat: replaced -7.210012009823576 by -103210947/14314948 = -7.210012009823577 rat: replaced -2.7082010066523035 by -6657427/2458247 = -2.7082010066523012 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.8878363316479785 by 32033433/5440612 = 5.887836331647984 rat: replaced -5.12819274037076 by -28404716/5538933 = -5.1281927403707535 rat: replaced 5.528453201773061 by 55741619/10082679 = 5.52845320177306 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.8878363316479785 by -32033433/5440612 = -5.887836331647984 rat: replaced 5.12819274037076 by 28404716/5538933 = 5.1281927403707535 rat: replaced -5.528453201773061 by -55741619/10082679 = -5.52845320177306 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.001161878877614 by 39819499/9951984 = 4.001161878877618 rat: replaced -1.3519463776883986 by -10567620/7816597 = -1.3519463776883982 rat: replaced 5.551096402782848 by 56252807/10133639 = 5.55109640278285 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.001161878877614 by -39819499/9951984 = -4.001161878877618 rat: replaced 1.3519463776883986 by 10567620/7816597 = 1.3519463776883982 rat: replaced -5.551096402782848 by -56252807/10133639 = -5.55109640278285 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.2939346231944455 by 96851413/22555400 = 4.2939346231944455 rat: replaced -11.397496767103625 by -78988277/6930318 = -11.397496767103616 rat: replaced 3.0374209930585767 by 62630251/20619549 = 3.0374209930585776 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.2939346231944455 by -96851413/22555400 = -4.2939346231944455 rat: replaced 11.397496767103625 by 78988277/6930318 = 11.397496767103616 rat: replaced -3.0374209930585767 by -62630251/20619549 = -3.0374209930585776 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.024047336210082 by 58118893/11568142 = 5.024047336210084 rat: replaced -2.386291582764874 by -61745278/25874993 = -2.3862915827648727 rat: replaced 4.336471501633822 by 31513043/7266978 = 4.336471501633829 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.024047336210082 by -58118893/11568142 = -5.024047336210084 rat: replaced 2.386291582764874 by 61745278/25874993 = 2.3862915827648727 rat: replaced -4.336471501633822 by -31513043/7266978 = -4.336471501633829 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.356579073553081 by 42157361/9676712 = 4.356579073553083 rat: replaced -14.847264910526137 by -219731518/14799461 = -14.847264910526134 rat: replaced 6.330190200811629 by 33086252/5226739 = 6.330190200811634 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.356579073553081 by -42157361/9676712 = -4.356579073553083 rat: replaced 14.847264910526137 by 219731518/14799461 = 14.847264910526134 rat: replaced -6.330190200811629 by -33086252/5226739 = -6.330190200811634 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.185070312971832 by 55203437/10646613 = 5.185070312971835 rat: replaced 1.6829436110718268 by 49694309/29528208 = 1.6829436110718266 rat: replaced 3.5404319384075276 by 36967544/10441535 = 3.5404319384075236 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.185070312971832 by -55203437/10646613 = -5.185070312971835 rat: replaced -1.6829436110718268 by -49694309/29528208 = -1.6829436110718266 rat: replaced -3.5404319384075276 by -36967544/10441535 = -3.5404319384075236 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.679445389883734 by 57625760/10146371 = 5.679445389883733 rat: replaced -0.24607319833818408 by -5560567/22597207 = -0.246073198338184 rat: replaced 4.6278155953597775 by 29840428/6448059 = 4.627815595359782 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.679445389883734 by -57625760/10146371 = -5.679445389883733 rat: replaced 0.24607319833818408 by 5560567/22597207 = 0.246073198338184 rat: replaced -4.6278155953597775 by -29840428/6448059 = -4.627815595359782 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.67607082965371 by 96667573/17030720 = 5.676070829653708 rat: replaced -2.1085047542375905 by -42693757/20248357 = -2.1085047542375905 rat: replaced 2.407830596454395 by 41882299/17394205 = 2.407830596454394 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.67607082965371 by -96667573/17030720 = -5.676070829653708 rat: replaced 2.1085047542375905 by 42693757/20248357 = 2.1085047542375905 rat: replaced -2.407830596454395 by -41882299/17394205 = -2.407830596454394 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.328689518231269 by 22536909/4229353 = 5.3286895182312755 rat: replaced -10.533441267415535 by -78769295/7478021 = -10.533441267415537 rat: replaced 3.8308064234384323 by 96383262/25160045 = 3.830806423438432 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.328689518231269 by -22536909/4229353 = -5.3286895182312755 rat: replaced 10.533441267415535 by 78769295/7478021 = 10.533441267415537 rat: replaced -3.8308064234384323 by -96383262/25160045 = -3.830806423438432 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.806391141508157 by 24559957/5109854 = 4.806391141508152 rat: replaced 2.8139629141468046 by 9865678/3505973 = 2.8139629141468006 rat: replaced 3.73430738510692 by 44253152/11850431 = 3.7343073851069213 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.806391141508157 by -24559957/5109854 = -4.806391141508152 rat: replaced -2.8139629141468046 by -9865678/3505973 = -2.8139629141468006 rat: replaced -3.73430738510692 by -44253152/11850431 = -3.7343073851069213 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.685921747434266 by 38466174/8208881 = 4.685921747434273 rat: replaced -10.135482400861143 by -91361735/9014049 = -10.135482400861145 rat: replaced 2.3871136167978975 by 22823210/9561007 = 2.3871136167978957 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.685921747434266 by -38466174/8208881 = -4.685921747434273 rat: replaced 10.135482400861143 by 91361735/9014049 = 10.135482400861145 rat: replaced -2.3871136167978975 by -22823210/9561007 = -2.3871136167978957 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.820350286056579 by 25275714/5243543 = 4.820350286056584 rat: replaced -0.47162968501951674 by -30979725/65686546 = -0.4716296850195168 rat: replaced 3.1005732401926007 by 29304637/9451361 = 3.100573240192603 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.820350286056579 by -25275714/5243543 = -4.820350286056584 rat: replaced 0.47162968501951674 by 30979725/65686546 = 0.4716296850195168 rat: replaced -3.1005732401926007 by -29304637/9451361 = -3.100573240192603 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.536425605659482 by 34799379/7671101 = 4.536425605659474 rat: replaced 6.545975056976566 by 62017039/9474072 = 6.545975056976556 rat: replaced 3.796952681256375 by 14194657/3738434 = 3.7969526812563763 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.536425605659482 by -34799379/7671101 = -4.536425605659474 rat: replaced -6.545975056976566 by -62017039/9474072 = -6.545975056976556 rat: replaced -3.796952681256375 by -14194657/3738434 = -3.7969526812563763 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.790744809602454 by 31813466/5493847 = 5.790744809602452 rat: replaced -0.2955702542116585 by -26529353/89756505 = -0.29557025421165856 rat: replaced 4.061039956047715 by 132836686/32710017 = 4.061039956047715 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.790744809602454 by -31813466/5493847 = -5.790744809602452 rat: replaced 0.2955702542116585 by 26529353/89756505 = 0.29557025421165856 rat: replaced -4.061039956047715 by -132836686/32710017 = -4.061039956047715 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.293237854203947 by 28894036/6730127 = 4.29323785420394 rat: replaced -4.41604794525996 by -122699243/27784853 = -4.416047945259959 rat: replaced 3.891373088753012 by 41124167/10568035 = 3.891373088753018 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.293237854203947 by -28894036/6730127 = -4.29323785420394 rat: replaced 4.41604794525996 by 122699243/27784853 = 4.416047945259959 rat: replaced -3.891373088753012 by -41124167/10568035 = -3.891373088753018 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.462017273081632 by 67077543/12280727 = 5.462017273081634 rat: replaced -1.0824353089560357 by -14583652/13473001 = -1.0824353089560372 rat: replaced 2.2095365065569483 by 243609637/110253728 = 2.2095365065569483 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.462017273081632 by -67077543/12280727 = -5.462017273081634 rat: replaced 1.0824353089560357 by 14583652/13473001 = 1.0824353089560372 rat: replaced -2.2095365065569483 by -243609637/110253728 = -2.2095365065569483 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.321288114334835 by 48303553/11178045 = 4.321288114334841 rat: replaced -1.9831352235142905 by -20415804/10294711 = -1.983135223514288 rat: replaced 0.6144762257646601 by 16510790/26869697 = 0.6144762257646598 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.321288114334835 by -48303553/11178045 = -4.321288114334841 rat: replaced 1.9831352235142905 by 20415804/10294711 = 1.983135223514288 rat: replaced -0.6144762257646601 by -16510790/26869697 = -0.6144762257646598 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.120920000896184 by 49141859/9596295 = 5.120920000896179 rat: replaced 0.30534555264083174 by 107191159/351048699 = 0.30534555264083174 rat: replaced 3.4115348940165773 by 39516259/11583132 = 3.411534894016575 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.120920000896184 by -49141859/9596295 = -5.120920000896179 rat: replaced -0.30534555264083174 by -107191159/351048699 = -0.30534555264083174 rat: replaced -3.4115348940165773 by -39516259/11583132 = -3.411534894016575 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.1450235169244705 by 68041552/13224731 = 5.145023516924465 rat: replaced -3.7698897585968596 by -26805066/7110305 = -3.7698897585968534 rat: replaced 5.244295858665426 by 26391835/5032484 = 5.2442958586654225 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.1450235169244705 by -68041552/13224731 = -5.145023516924465 rat: replaced 3.7698897585968596 by 26805066/7110305 = 3.7698897585968534 rat: replaced -5.244295858665426 by -26391835/5032484 = -5.2442958586654225 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.578814588341233 by 63049819/13769900 = 4.5788145883412374 rat: replaced -7.742564248055175 by -28436859/3672796 = -7.74256424805516 rat: replaced 2.698823777575516 by 88459938/32777219 = 2.698823777575517 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.578814588341233 by -63049819/13769900 = -4.5788145883412374 rat: replaced 7.742564248055175 by 28436859/3672796 = 7.74256424805516 rat: replaced -2.698823777575516 by -88459938/32777219 = -2.698823777575517 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.055908495249103 by 53971535/10674943 = 5.055908495249108 rat: replaced -4.029456676968548 by -23384839/5803472 = -4.029456676968546 rat: replaced 4.742894663578611 by 23118097/4874259 = 4.742894663578608 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.055908495249103 by -53971535/10674943 = -5.055908495249108 rat: replaced 4.029456676968548 by 23384839/5803472 = 4.029456676968546 rat: replaced -4.742894663578611 by -23118097/4874259 = -4.742894663578608 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.8920144586254155 by 104238912/21307973 = 4.892014458625417 rat: replaced 3.047394157820121 by 19581278/6425581 = 3.0473941578201256 rat: replaced 4.543269575720208 by 20959252/4613253 = 4.543269575720213 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.8920144586254155 by -104238912/21307973 = -4.892014458625417 rat: replaced -3.047394157820121 by -19581278/6425581 = -3.0473941578201256 rat: replaced -4.543269575720208 by -20959252/4613253 = -4.543269575720213 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.198292032787132 by 25775258/4958409 = 5.19829203278713 rat: replaced -15.209944489945977 by -111535831/7333086 = -15.209944489945979 rat: replaced 2.9162311880438105 by 54452939/18672367 = 2.9162311880438083 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.198292032787132 by -25775258/4958409 = -5.19829203278713 rat: replaced 15.209944489945977 by 111535831/7333086 = 15.209944489945979 rat: replaced -2.9162311880438105 by -54452939/18672367 = -2.9162311880438083 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.9583288092151427 by 26065900/6585077 = 3.958328809215139 rat: replaced -11.831135541156627 by -61409651/5190512 = -11.831135541156634 rat: replaced 2.1979138900391497 by 17340479/7889517 = 2.1979138900391493 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.9583288092151427 by -26065900/6585077 = -3.958328809215139 rat: replaced 11.831135541156627 by 61409651/5190512 = 11.831135541156634 rat: replaced -2.1979138900391497 by -17340479/7889517 = -2.1979138900391493 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.422875729885191 by 58022753/10699628 = 5.422875729885188 rat: replaced 5.349183486834155 by 19115243/3573488 = 5.349183486834152 rat: replaced 6.594441622582028 by 16423292/2490475 = 6.594441622582037 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.422875729885191 by -58022753/10699628 = -5.422875729885188 rat: replaced -5.349183486834155 by -19115243/3573488 = -5.349183486834152 rat: replaced -6.594441622582028 by -16423292/2490475 = -6.594441622582037 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.523425425020114 by 68053757/10432212 = 6.52342542502012 rat: replaced 1.7986370801719813 by 43170621/24001852 = 1.79863708017198 rat: replaced 5.919549250935345 by 13372759/2259084 = 5.919549250935335 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.523425425020114 by -68053757/10432212 = -6.52342542502012 rat: replaced -1.7986370801719813 by -43170621/24001852 = -1.79863708017198 rat: replaced -5.919549250935345 by -13372759/2259084 = -5.919549250935335 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0053422341142175 by 30050413/6003668 = 5.005342234114211 rat: replaced -1.0776603970601006 by -16541836/15349767 = -1.0776603970600986 rat: replaced 4.3048985995659015 by 61113378/14196241 = 4.304898599565899 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.0053422341142175 by -30050413/6003668 = -5.005342234114211 rat: replaced 1.0776603970601006 by 16541836/15349767 = 1.0776603970600986 rat: replaced -4.3048985995659015 by -61113378/14196241 = -4.304898599565899 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.432301014397113 by 65241175/14719482 = 4.43230101439711 rat: replaced 6.899929062084924 by 43838306/6353443 = 6.89992906208492 rat: replaced 4.865973234989176 by 93213211/19156129 = 4.865973234989178 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.432301014397113 by -65241175/14719482 = -4.43230101439711 rat: replaced -6.899929062084924 by -43838306/6353443 = -6.89992906208492 rat: replaced -4.865973234989176 by -93213211/19156129 = -4.865973234989178 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.4845155801914784 by 16117923/4625585 = 3.4845155801914784 rat: replaced -4.681244249285616 by -13965673/2983325 = -4.681244249285612 rat: replaced 3.840630576050153 by 34479526/8977569 = 3.8406305760501533 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.4845155801914784 by -16117923/4625585 = -3.4845155801914784 rat: replaced 4.681244249285616 by 13965673/2983325 = 4.681244249285612 rat: replaced -3.840630576050153 by -34479526/8977569 = -3.8406305760501533 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.051231258303137 by 408101657/80792511 = 5.051231258303137 rat: replaced 4.673271590628607 by 53563408/11461651 = 4.67327159062861 rat: replaced 4.49283435928903 by 156580871/34851245 = 4.49283435928903 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.051231258303137 by -408101657/80792511 = -5.051231258303137 rat: replaced -4.673271590628607 by -53563408/11461651 = -4.67327159062861 rat: replaced -4.49283435928903 by -156580871/34851245 = -4.49283435928903 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 3.7037817682076337 by 53669246/14490391 = 3.703781768207635 rat: replaced -0.16883314539554828 by -2348426/13909745 = -0.16883314539554822 rat: replaced 3.907971473044053 by 32694019/8365982 = 3.907971473044049 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -3.7037817682076337 by -53669246/14490391 = -3.703781768207635 rat: replaced 0.16883314539554828 by 2348426/13909745 = 0.16883314539554822 rat: replaced -3.907971473044053 by -32694019/8365982 = -3.907971473044049 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.74485395173058 by 64999633/11314410 = 5.7448539517305806 rat: replaced -7.209807610747097 by -123332447/17106205 = -7.209807610747094 rat: replaced 4.098045617931679 by 17332770/4229521 = 4.0980456179316755 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.74485395173058 by -64999633/11314410 = -5.7448539517305806 rat: replaced 7.209807610747097 by 123332447/17106205 = 7.209807610747094 rat: replaced -4.098045617931679 by -17332770/4229521 = -4.0980456179316755 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.558286353569739 by 29739459/6524263 = 4.558286353569744 rat: replaced -15.021091528747888 by -85381131/5684083 = -15.02109152874791 rat: replaced 4.609792314338687 by 34577605/7500903 = 4.609792314338687 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.558286353569739 by -29739459/6524263 = -4.558286353569744 rat: replaced 15.021091528747888 by 85381131/5684083 = 15.02109152874791 rat: replaced -4.609792314338687 by -34577605/7500903 = -4.609792314338687 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.795042486605725 by 39489184/8235419 = 4.795042486605721 rat: replaced -3.61644848889253 by -55878053/15451085 = -3.6164484888925275 rat: replaced 4.903393540399012 by 57993877/11827294 = 4.903393540399013 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.795042486605725 by -39489184/8235419 = -4.795042486605721 rat: replaced 3.61644848889253 by 55878053/15451085 = 3.6164484888925275 rat: replaced -4.903393540399012 by -57993877/11827294 = -4.903393540399013 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.187116444452448 by 95629103/18435889 = 5.187116444452448 rat: replaced -3.012839185453294 by -17057647/5661652 = -3.012839185453292 rat: replaced 3.354179103482463 by 15091827/4499410 = 3.3541791034824566 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.187116444452448 by -95629103/18435889 = -5.187116444452448 rat: replaced 3.012839185453294 by 17057647/5661652 = 3.012839185453292 rat: replaced -3.354179103482463 by -15091827/4499410 = -3.3541791034824566 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.974656427558883 by 6425510/1291649 = 4.97465642755888 rat: replaced -0.20692078978709727 by -10008035/48366503 = -0.20692078978709708 rat: replaced 4.047851143212038 by 17809189/4399665 = 4.04785114321204 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.974656427558883 by -6425510/1291649 = -4.97465642755888 rat: replaced 0.20692078978709727 by 10008035/48366503 = 0.20692078978709708 rat: replaced -4.047851143212038 by -17809189/4399665 = -4.04785114321204 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.764726146808668 by 40981300/8600977 = 4.764726146808671 rat: replaced -6.190685968657102 by -72291203/11677414 = -6.190685968657101 rat: replaced 4.136703960717699 by 70732653/17098795 = 4.1367039607177 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.764726146808668 by -40981300/8600977 = -4.764726146808671 rat: replaced 6.190685968657102 by 72291203/11677414 = 6.190685968657101 rat: replaced -4.136703960717699 by -70732653/17098795 = -4.1367039607177 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.467851539840153 by 21688851/3966613 = 5.467851539840161 rat: replaced -6.622232464711671 by -91478963/13813916 = -6.622232464711672 rat: replaced 4.195250077790478 by 173142661/41271118 = 4.195250077790478 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.467851539840153 by -21688851/3966613 = -5.467851539840161 rat: replaced 6.622232464711671 by 91478963/13813916 = 6.622232464711672 rat: replaced -4.195250077790478 by -173142661/41271118 = -4.195250077790478 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.450938340593386 by 34194089/7682445 = 4.4509383405933916 rat: replaced -1.8478575086230533 by -33245915/17991601 = -1.8478575086230513 rat: replaced 3.102805311214217 by 19855751/6399290 = 3.1028053112142127 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.450938340593386 by -34194089/7682445 = -4.4509383405933916 rat: replaced 1.8478575086230533 by 33245915/17991601 = 1.8478575086230513 rat: replaced -3.102805311214217 by -19855751/6399290 = -3.1028053112142127 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.247718723750362 by 56332534/10734671 = 5.24771872375036 rat: replaced 0.7513103588029253 by 23943467/31868943 = 0.7513103588029261 rat: replaced 3.4669983303906062 by 10542556/3040831 = 3.466998330390607 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.247718723750362 by -56332534/10734671 = -5.24771872375036 rat: replaced -0.7513103588029253 by -23943467/31868943 = -0.7513103588029261 rat: replaced -3.4669983303906062 by -10542556/3040831 = -3.466998330390607 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.230046878120393 by 67121998/12833919 = 5.230046878120393 rat: replaced -3.7499045774046693 by -63672371/16979731 = -3.7499045774046715 rat: replaced 2.7291896789589893 by 12840600/4704913 = 2.7291896789589947 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.230046878120393 by -67121998/12833919 = -5.230046878120393 rat: replaced 3.7499045774046693 by 63672371/16979731 = 3.7499045774046715 rat: replaced -2.7291896789589893 by -12840600/4704913 = -2.7291896789589947 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.500605620218569 by 34325633/7626892 = 4.500605620218564 rat: replaced 5.583689784906705 by 164630269/29484136 = 5.583689784906704 rat: replaced 4.058782337543954 by 43812668/10794535 = 4.058782337543952 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.500605620218569 by -34325633/7626892 = -4.500605620218564 rat: replaced -5.583689784906705 by -164630269/29484136 = -5.583689784906704 rat: replaced -4.058782337543954 by -43812668/10794535 = -4.058782337543952 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.073768376289856 by 48517697/9562458 = 5.073768376289862 rat: replaced 0.5662840646504117 by 54835674/96834217 = 0.5662840646504117 rat: replaced 3.968165572077506 by 35680975/8991806 = 3.9681655720775115 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.073768376289856 by -48517697/9562458 = -5.073768376289862 rat: replaced -0.5662840646504117 by -54835674/96834217 = -0.5662840646504117 rat: replaced -3.968165572077506 by -35680975/8991806 = -3.9681655720775115 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.246906058805394 by 18869464/3596303 = 5.24690605880539 rat: replaced -13.405114378940864 by -56238597/4195309 = -13.40511437894086 rat: replaced 3.6267951792126554 by 33562689/9254090 = 3.626795179212651 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.246906058805394 by -18869464/3596303 = -5.24690605880539 rat: replaced 13.405114378940864 by 56238597/4195309 = 13.40511437894086 rat: replaced -3.6267951792126554 by -33562689/9254090 = -3.626795179212651 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.6048057477479745 by 57765185/10306367 = 5.60480574774797 rat: replaced -1.8557439939820988 by -26228759/14133824 = -1.8557439939820957 rat: replaced 6.602137863867249 by 48435231/7336295 = 6.602137863867251 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.6048057477479745 by -57765185/10306367 = -5.60480574774797 rat: replaced 1.8557439939820988 by 26228759/14133824 = 1.8557439939820957 rat: replaced -6.602137863867249 by -48435231/7336295 = -6.602137863867251 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.718176511968731 by 39625077/8398388 = 4.718176511968726 rat: replaced -10.553435866199816 by -162311622/15379979 = -10.553435866199818 rat: replaced 3.46279071260785 by 22648909/6540652 = 3.4627907126078563 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.718176511968731 by -39625077/8398388 = -4.718176511968726 rat: replaced 10.553435866199816 by 162311622/15379979 = 10.553435866199818 rat: replaced -3.46279071260785 by -22648909/6540652 = -3.4627907126078563 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.3245524030360665 by 46481005/8729561 = 5.3245524030360745 rat: replaced -4.656319627560099 by -28545032/6130385 = -4.656319627560096 rat: replaced 2.325608495097311 by 26237929/11282178 = 2.325608495097312 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.3245524030360665 by -46481005/8729561 = -5.3245524030360745 rat: replaced 4.656319627560099 by 28545032/6130385 = 4.656319627560096 rat: replaced -2.325608495097311 by -26237929/11282178 = -2.325608495097312 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.020037081708114 by 32306539/6435518 = 5.020037081708108 rat: replaced -20.199667426636914 by -144202921/7138876 = -20.19966742663691 rat: replaced 3.610608699774009 by 64745706/17932075 = 3.610608699774008 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.020037081708114 by -32306539/6435518 = -5.020037081708108 rat: replaced 20.199667426636914 by 144202921/7138876 = 20.19966742663691 rat: replaced -3.610608699774009 by -64745706/17932075 = -3.610608699774008 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.465935914848783 by 115906226/21205193 = 5.4659359148487825 rat: replaced -3.194037260137973 by -304605959/95367065 = -3.194037260137973 rat: replaced 3.793369695534704 by 9324281/2458047 = 3.793369695534707 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.465935914848783 by -115906226/21205193 = -5.4659359148487825 rat: replaced 3.194037260137973 by 304605959/95367065 = 3.194037260137973 rat: replaced -3.793369695534704 by -9324281/2458047 = -3.793369695534707 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.341480006091981 by 47663057/8923193 = 5.34148000609199 rat: replaced -12.722932317665055 by -65048447/5112693 = -12.722932317665075 rat: replaced 3.782833712663085 by 59706511/15783541 = 3.7828337126630838 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.341480006091981 by -47663057/8923193 = -5.34148000609199 rat: replaced 12.722932317665055 by 65048447/5112693 = 12.722932317665075 rat: replaced -3.782833712663085 by -59706511/15783541 = -3.7828337126630838 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.762898588598012 by 49574368/10408445 = 4.762898588598008 rat: replaced -14.90486060847944 by -69088873/4635325 = -14.90486060847945 rat: replaced 1.5604507408038661 by 57167219/36635068 = 1.560450740803866 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.762898588598012 by -49574368/10408445 = -4.762898588598008 rat: replaced 14.90486060847944 by 69088873/4635325 = 14.90486060847945 rat: replaced -1.5604507408038661 by -57167219/36635068 = -1.560450740803866 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.762566276027831 by 74548007/15652907 = 4.762566276027833 rat: replaced -7.084435402012891 by -39650331/5596823 = -7.084435402012892 rat: replaced 4.562174258459134 by 98575985/21607238 = 4.562174258459133 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.762566276027831 by -74548007/15652907 = -4.762566276027833 rat: replaced 7.084435402012891 by 39650331/5596823 = 7.084435402012892 rat: replaced -4.562174258459134 by -98575985/21607238 = -4.562174258459133 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.07425530696092 by 23296855/4591187 = 5.074255306960923 rat: replaced -4.6244363858040725 by -37990027/8215061 = -4.624436385804073 rat: replaced 3.1451287468599576 by 40464198/12865673 = 3.1451287468599585 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.07425530696092 by -23296855/4591187 = -5.074255306960923 rat: replaced 4.6244363858040725 by 37990027/8215061 = 4.624436385804073 rat: replaced -3.1451287468599576 by -40464198/12865673 = -3.1451287468599585 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.081750785962079 by 51623316/10158569 = 5.081750785962078 rat: replaced -12.216598216721785 by -47551667/3892382 = -12.216598216721792 rat: replaced 3.5913525979318743 by 98124049/27322310 = 3.5913525979318734 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.081750785962079 by -51623316/10158569 = -5.081750785962078 rat: replaced 12.216598216721785 by 47551667/3892382 = 12.216598216721792 rat: replaced -3.5913525979318743 by -98124049/27322310 = -3.5913525979318734 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.230750312735121 by 48450510/9262631 = 5.230750312735118 rat: replaced 10.935814459064614 by 53864715/4925533 = 10.935814459064634 rat: replaced 3.3103749080389986 by 460755720/139185359 = 3.3103749080389986 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.230750312735121 by -48450510/9262631 = -5.230750312735118 rat: replaced -10.935814459064614 by -53864715/4925533 = -10.935814459064634 rat: replaced -3.3103749080389986 by -460755720/139185359 = -3.3103749080389986 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.293735351552525 by 38860226/7340795 = 5.293735351552523 rat: replaced -14.623236256697362 by -150572232/10296779 = -14.62323625669736 rat: replaced 1.735844754933675 by 24006115/13829644 = 1.7358447549336773 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.293735351552525 by -38860226/7340795 = -5.293735351552523 rat: replaced 14.623236256697362 by 150572232/10296779 = 14.62323625669736 rat: replaced -1.735844754933675 by -24006115/13829644 = -1.7358447549336773 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.2976880057709455 by 336954879/63604138 = 5.2976880057709455 rat: replaced -6.416032615502194 by -61987973/9661418 = -6.416032615502196 rat: replaced 5.238944072090423 by 72274183/13795563 = 5.238944072090425 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.2976880057709455 by -336954879/63604138 = -5.2976880057709455 rat: replaced 6.416032615502194 by 61987973/9661418 = 6.416032615502196 rat: replaced -5.238944072090423 by -72274183/13795563 = -5.238944072090425 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.277874927679028 by 101392613/23701631 = 4.2778749276790276 rat: replaced 1.0904475442761088 by 23689950/21724979 = 1.0904475442761072 rat: replaced 4.006730637391608 by 22822510/5696043 = 4.006730637391607 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.277874927679028 by -101392613/23701631 = -4.2778749276790276 rat: replaced -1.0904475442761088 by -23689950/21724979 = -1.0904475442761072 rat: replaced -4.006730637391608 by -22822510/5696043 = -4.006730637391607 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.916346099934419 by 37704589/7669230 = 4.9163460999344135 rat: replaced -7.968356425935475 by -34522203/4332412 = -7.968356425935483 rat: replaced 2.439212279780251 by 73837151/30270900 = 2.439212279780251 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.916346099934419 by -37704589/7669230 = -4.9163460999344135 rat: replaced 7.968356425935475 by 34522203/4332412 = 7.968356425935483 rat: replaced -2.439212279780251 by -73837151/30270900 = -2.439212279780251 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.469895480460471 by 35518367/6493427 = 5.469895480460472 rat: replaced -0.31390382894570834 by -5926062/18878591 = -0.31390382894570895 rat: replaced 4.490538004122283 by 64264031/14310987 = 4.490538004122287 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.469895480460471 by -35518367/6493427 = -5.469895480460472 rat: replaced 0.31390382894570834 by 5926062/18878591 = 0.31390382894570895 rat: replaced -4.490538004122283 by -64264031/14310987 = -4.490538004122287 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.775386712403055 by 18827411/3942594 = 4.775386712403052 rat: replaced -11.311871549562614 by -68592067/6063724 = -11.311871549562612 rat: replaced 5.228501658699862 by 47091823/9006753 = 5.228501658699867 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.775386712403055 by -18827411/3942594 = -4.775386712403052 rat: replaced 11.311871549562614 by 68592067/6063724 = 11.311871549562612 rat: replaced -5.228501658699862 by -47091823/9006753 = -5.228501658699867 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.318686194005827 by 33615336/6320233 = 5.3186861940058225 rat: replaced -5.088991494874664 by -137945837/27106714 = -5.088991494874665 rat: replaced 2.9293095969317764 by 47304703/16148755 = 2.929309596931776 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.318686194005827 by -33615336/6320233 = -5.3186861940058225 rat: replaced 5.088991494874664 by 137945837/27106714 = 5.088991494874665 rat: replaced -2.9293095969317764 by -47304703/16148755 = -2.929309596931776 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.889970202674776 by 17351275/2945902 = 5.889970202674767 rat: replaced -5.4930435123198595 by -31414595/5718978 = -5.493043512319859 rat: replaced 1.4566873430092784 by 21330248/14642983 = 1.4566873430092762 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.889970202674776 by -17351275/2945902 = -5.889970202674767 rat: replaced 5.4930435123198595 by 31414595/5718978 = 5.493043512319859 rat: replaced -1.4566873430092784 by -21330248/14642983 = -1.4566873430092762 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.5331220293648435 by 32550051/7180493 = 4.533122029364836 rat: replaced -8.192906460492356 by -123636374/15090661 = -8.192906460492354 rat: replaced 3.7322336496470245 by 28139407/7539562 = 3.732233649647022 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.5331220293648435 by -32550051/7180493 = -4.533122029364836 rat: replaced 8.192906460492356 by 123636374/15090661 = 8.192906460492354 rat: replaced -3.7322336496470245 by -28139407/7539562 = -3.732233649647022 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.941711228424355 by 53818650/10890691 = 4.9417112284243485 rat: replaced -7.567179473876379 by -96846632/12798247 = -7.567179473876383 rat: replaced 2.62037277390288 by 22581631/8617717 = 2.6203727739028793 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.941711228424355 by -53818650/10890691 = -4.9417112284243485 rat: replaced 7.567179473876379 by 96846632/12798247 = 7.567179473876383 rat: replaced -2.62037277390288 by -22581631/8617717 = -2.6203727739028793 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.185493883687554 by 18969833/3658250 = 5.185493883687555 rat: replaced 1.5137445732857122 by 61793919/40821893 = 1.5137445732857122 rat: replaced 4.336513558101082 by 51223605/11812163 = 4.336513558101086 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.185493883687554 by -18969833/3658250 = -5.185493883687555 rat: replaced -1.5137445732857122 by -61793919/40821893 = -1.5137445732857122 rat: replaced -4.336513558101082 by -51223605/11812163 = -4.336513558101086 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.760432652726641 by 53427859/11223320 = 4.760432652726644 rat: replaced -5.676197947126296 by -40007353/7048266 = -5.676197947126286 rat: replaced 0.3796925813106151 by 35921502/94606805 = 0.379692581310615 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.760432652726641 by -53427859/11223320 = -4.760432652726644 rat: replaced 5.676197947126296 by 40007353/7048266 = 5.676197947126286 rat: replaced -0.3796925813106151 by -35921502/94606805 = -0.379692581310615 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.437445719399792 by 80513977/14807316 = 5.437445719399789 rat: replaced -20.206551953316612 by -98172098/4858429 = -20.2065519533166 rat: replaced 2.4224076198589417 by 64310327/26548103 = 2.4224076198589404 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.437445719399792 by -80513977/14807316 = -5.437445719399789 rat: replaced 20.206551953316612 by 98172098/4858429 = 20.2065519533166 rat: replaced -2.4224076198589417 by -64310327/26548103 = -2.4224076198589404 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.856612174529983 by 41948468/8637393 = 4.856612174529976 rat: replaced -6.940094992119275 by -79315063/11428527 = -6.940094992119282 rat: replaced 3.6535806828167607 by 30006248/8212833 = 3.6535806828167576 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.856612174529983 by -41948468/8637393 = -4.856612174529976 rat: replaced 6.940094992119275 by 79315063/11428527 = 6.940094992119282 rat: replaced -3.6535806828167607 by -30006248/8212833 = -3.6535806828167576 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.495467793610588 by 47866815/10647794 = 4.495467793610582 rat: replaced -9.604152698109576 by -82678501/8608620 = -9.60415269810957 rat: replaced 1.6905629247797636 by 31844581/18836673 = 1.6905629247797633 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.495467793610588 by -47866815/10647794 = -4.495467793610582 rat: replaced 9.604152698109576 by 82678501/8608620 = 9.60415269810957 rat: replaced -1.6905629247797636 by -31844581/18836673 = -1.6905629247797633 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.854056618694132 by 323731035/66692884 = 4.854056618694132 rat: replaced -2.221704169638931 by -113713309/51182921 = -2.221704169638931 rat: replaced 3.49781008336337 by 31364891/8967008 = 3.4978100833633694 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.854056618694132 by -323731035/66692884 = -4.854056618694132 rat: replaced 2.221704169638931 by 113713309/51182921 = 2.221704169638931 rat: replaced -3.49781008336337 by -31364891/8967008 = -3.4978100833633694 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.051975220772456 by 60418451/11959372 = 5.051975220772462 rat: replaced -11.59899477309052 by -241887722/20854197 = -11.59899477309052 rat: replaced 4.023178031377564 by 47964417/11922022 = 4.023178031377563 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.051975220772456 by -60418451/11959372 = -5.051975220772462 rat: replaced 11.59899477309052 by 241887722/20854197 = 11.59899477309052 rat: replaced -4.023178031377564 by -47964417/11922022 = -4.023178031377563 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.3671287726926415 by 68810599/15756485 = 4.367128772692641 rat: replaced -6.396144148548495 by -365753442/57183427 = -6.396144148548495 rat: replaced 4.104447602751625 by 113882939/27746228 = 4.104447602751624 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.3671287726926415 by -68810599/15756485 = -4.367128772692641 rat: replaced 6.396144148548495 by 365753442/57183427 = 6.396144148548495 rat: replaced -4.104447602751625 by -113882939/27746228 = -4.104447602751624 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.819802896701848 by 35000329/7261776 = 4.819802896701853 rat: replaced 3.441505922827446 by 41718217/12122082 = 3.4415059228274485 rat: replaced 5.034983763339714 by 65806261/13069806 = 5.034983763339716 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.819802896701848 by -35000329/7261776 = -4.819802896701853 rat: replaced -3.441505922827446 by -41718217/12122082 = -3.4415059228274485 rat: replaced -5.034983763339714 by -65806261/13069806 = -5.034983763339716 rat: replaced 5.0 by 5/1 = 5.0 Gen 5 : best = 0.756 mu = [-3.77,5.28,-4.81] rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.964187243610884 by 53426817/10762450 = 4.964187243610888 rat: replaced -9.10694632992777 by -104409209/11464788 = -9.106946329927775 rat: replaced 4.030000319133952 by 34979359/8679741 = 4.030000319133946 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.964187243610884 by -53426817/10762450 = -4.964187243610888 rat: replaced 9.10694632992777 by 104409209/11464788 = 9.106946329927775 rat: replaced -4.030000319133952 by -34979359/8679741 = -4.030000319133946 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.81792668444564 by 154897981/32150340 = 4.817926684445639 rat: replaced -2.383173508274517 by -22569747/9470459 = -2.3831735082745196 rat: replaced 3.4965990491819734 by 124874909/35713248 = 3.496599049181973 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.81792668444564 by -154897981/32150340 = -4.817926684445639 rat: replaced 2.383173508274517 by 22569747/9470459 = 2.3831735082745196 rat: replaced -3.4965990491819734 by -124874909/35713248 = -3.496599049181973 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.075564806949024 by 43478085/8566157 = 5.0755648069490205 rat: replaced -1.6194865660516546 by -17207563/10625320 = -1.6194865660516577 rat: replaced 4.161082702614122 by 27423033/6590360 = 4.161082702614121 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.075564806949024 by -43478085/8566157 = -5.0755648069490205 rat: replaced 1.6194865660516546 by 17207563/10625320 = 1.6194865660516577 rat: replaced -4.161082702614122 by -27423033/6590360 = -4.161082702614121 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.907097917574771 by 34909865/7114157 = 4.907097917574774 rat: replaced -11.41252368313723 by -76697854/6720499 = -11.41252368313722 rat: replaced 3.878840285194604 by 103048537/26566842 = 3.8788402851946047 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.907097917574771 by -34909865/7114157 = -4.907097917574774 rat: replaced 11.41252368313723 by 76697854/6720499 = 11.41252368313722 rat: replaced -3.878840285194604 by -103048537/26566842 = -3.8788402851946047 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.1395424308059585 by 3916003/945999 = 4.139542430805952 rat: replaced -3.5888734337756176 by -30246993/8427991 = -3.5888734337756176 rat: replaced 2.320821642505649 by 21500159/9264029 = 2.3208216425056527 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.1395424308059585 by -3916003/945999 = -4.139542430805952 rat: replaced 3.5888734337756176 by 30246993/8427991 = 3.5888734337756176 rat: replaced -2.320821642505649 by -21500159/9264029 = -2.3208216425056527 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.397593749272392 by 27123335/5025079 = 5.397593749272399 rat: replaced -4.387200626625986 by -90087212/20534099 = -4.387200626625984 rat: replaced 2.402591891820972 by 39006113/16235014 = 2.402591891820974 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.397593749272392 by -27123335/5025079 = -5.397593749272399 rat: replaced 4.387200626625986 by 90087212/20534099 = 4.387200626625984 rat: replaced -2.402591891820972 by -39006113/16235014 = -2.402591891820974 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.342129357610305 by 61049466/14059799 = 4.342129357610305 rat: replaced -11.270561331341687 by -67258585/5967634 = -11.270561331341701 rat: replaced 3.449331029668354 by 54189125/15710039 = 3.449331029668354 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.342129357610305 by -61049466/14059799 = -4.342129357610305 rat: replaced 11.270561331341687 by 67258585/5967634 = 11.270561331341701 rat: replaced -3.449331029668354 by -54189125/15710039 = -3.449331029668354 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.386137090318394 by 33392558/6199723 = 5.38613709031839 rat: replaced -3.255698948730226 by -72089187/22142461 = -3.255698948730225 rat: replaced 3.361342294705941 by 40170390/11950699 = 3.3613422947059415 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.386137090318394 by -33392558/6199723 = -5.38613709031839 rat: replaced 3.255698948730226 by 72089187/22142461 = 3.255698948730225 rat: replaced -3.361342294705941 by -40170390/11950699 = -3.3613422947059415 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.463376873642605 by 29063341/6511514 = 4.463376873642597 rat: replaced -0.1910961103708546 by -7057921/36933881 = -0.19109611037085433 rat: replaced 1.7387414714859033 by 11332331/6517548 = 1.7387414714859024 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.463376873642605 by -29063341/6511514 = -4.463376873642597 rat: replaced 0.1910961103708546 by 7057921/36933881 = 0.19109611037085433 rat: replaced -1.7387414714859033 by -11332331/6517548 = -1.7387414714859024 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.423237305836516 by 24887097/5626444 = 4.42323730583651 rat: replaced 3.4486905303387845 by 12055553/3495690 = 3.4486905303387885 rat: replaced 4.605576910898279 by 57379782/12458761 = 4.605576910898283 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.423237305836516 by -24887097/5626444 = -4.42323730583651 rat: replaced -3.4486905303387845 by -12055553/3495690 = -3.4486905303387885 rat: replaced -4.605576910898279 by -57379782/12458761 = -4.605576910898283 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.786008519961354 by 3809725/796013 = 4.786008519961357 rat: replaced -13.993271253085265 by -108575149/7759097 = -13.993271253085249 rat: replaced 4.382512105848671 by 50641527/11555365 = 4.382512105848669 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.786008519961354 by -3809725/796013 = -4.786008519961357 rat: replaced 13.993271253085265 by 108575149/7759097 = 13.993271253085249 rat: replaced -4.382512105848671 by -50641527/11555365 = -4.382512105848669 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.834219594415473 by 64461819/13334483 = 4.8342195944154716 rat: replaced -9.069633930512943 by -30322752/3343327 = -9.069633930512929 rat: replaced 4.228583177457542 by 301124233/71211614 = 4.228583177457542 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.834219594415473 by -64461819/13334483 = -4.8342195944154716 rat: replaced 9.069633930512943 by 30322752/3343327 = 9.069633930512929 rat: replaced -4.228583177457542 by -301124233/71211614 = -4.228583177457542 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.851511290256332 by 29884674/6159869 = 4.851511290256335 rat: replaced -3.967921824407919 by -51071221/12871025 = -3.967921824407924 rat: replaced 4.621302426849093 by 113835831/24632846 = 4.621302426849094 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.851511290256332 by -29884674/6159869 = -4.851511290256335 rat: replaced 3.967921824407919 by 51071221/12871025 = 3.967921824407924 rat: replaced -4.621302426849093 by -113835831/24632846 = -4.621302426849094 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.9293999520496214 by 53703821/10894596 = 4.9293999520496214 rat: replaced -10.26800629326808 by -34491722/3359145 = -10.268006293268078 rat: replaced 2.1466801524109593 by 33880177/15782592 = 2.14668015241096 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.9293999520496214 by -53703821/10894596 = -4.9293999520496214 rat: replaced 10.26800629326808 by 34491722/3359145 = 10.268006293268078 rat: replaced -2.1466801524109593 by -33880177/15782592 = -2.14668015241096 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.12499608254647 by 58216983/11359420 = 5.124996082546468 rat: replaced 2.6780972367786893 by 49541703/18498844 = 2.6780972367786875 rat: replaced 2.597692685024705 by 27924030/10749551 = 2.597692685024705 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.12499608254647 by -58216983/11359420 = -5.124996082546468 rat: replaced -2.6780972367786893 by -49541703/18498844 = -2.6780972367786875 rat: replaced -2.597692685024705 by -27924030/10749551 = -2.597692685024705 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.799078986190774 by 29733001/6195564 = 4.799078986190765 rat: replaced -25.47500068885143 by -178437426/7004413 = -25.47500068885144 rat: replaced 5.257837729510784 by 66823232/12709261 = 5.257837729510787 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.799078986190774 by -29733001/6195564 = -4.799078986190765 rat: replaced 25.47500068885143 by 178437426/7004413 = 25.47500068885144 rat: replaced -5.257837729510784 by -66823232/12709261 = -5.257837729510787 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.188212279711619 by 99240247/23695133 = 4.188212279711618 rat: replaced -1.321878260397976 by -18134331/13718609 = -1.3218782603979748 rat: replaced 3.4083397190558578 by 47667768/13985627 = 3.4083397190558564 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.188212279711619 by -99240247/23695133 = -4.188212279711618 rat: replaced 1.321878260397976 by 18134331/13718609 = 1.3218782603979748 rat: replaced -3.4083397190558578 by -47667768/13985627 = -3.4083397190558564 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.228864949876453 by 58382421/11165410 = 5.228864949876448 rat: replaced -0.9677316180559572 by -22335508/23080271 = -0.9677316180559579 rat: replaced 1.9956311167048253 by 40364990/20226679 = 1.9956311167048233 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.228864949876453 by -58382421/11165410 = -5.228864949876448 rat: replaced 0.9677316180559572 by 22335508/23080271 = 0.9677316180559579 rat: replaced -1.9956311167048253 by -40364990/20226679 = -1.9956311167048233 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.074839159551229 by 49212456/9697343 = 5.07483915955123 rat: replaced -6.24557973108188 by -111280417/17817468 = -6.24557973108188 rat: replaced 3.274873975996992 by 23824718/7275003 = 3.274873975996986 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.074839159551229 by -49212456/9697343 = -5.07483915955123 rat: replaced 6.24557973108188 by 111280417/17817468 = 6.24557973108188 rat: replaced -3.274873975996992 by -23824718/7275003 = -3.274873975996986 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.31926472504991 by 42320884/7956153 = 5.319264725049908 rat: replaced -11.967007758334502 by -115210261/9627324 = -11.967007758334507 rat: replaced 3.064978671450182 by 31618274/10315985 = 3.0649786714501817 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.31926472504991 by -42320884/7956153 = -5.319264725049908 rat: replaced 11.967007758334502 by 115210261/9627324 = 11.967007758334507 rat: replaced -3.064978671450182 by -31618274/10315985 = -3.0649786714501817 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.732908216697212 by 117614828/24850435 = 4.732908216697213 rat: replaced -9.473218336281061 by -79663296/8409317 = -9.473218336281056 rat: replaced 2.4182454368295963 by 23031563/9524080 = 2.418245436829594 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.732908216697212 by -117614828/24850435 = -4.732908216697213 rat: replaced 9.473218336281061 by 79663296/8409317 = 9.473218336281056 rat: replaced -2.4182454368295963 by -23031563/9524080 = -2.418245436829594 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.499062808452328 by 95159493/21150959 = 4.499062808452326 rat: replaced 0.41422302830663593 by 12451654/30060265 = 0.4142230283066367 rat: replaced 3.961223077678472 by 43766306/11048685 = 3.9612230776784747 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.499062808452328 by -95159493/21150959 = -4.499062808452326 rat: replaced -0.41422302830663593 by -12451654/30060265 = -0.4142230283066367 rat: replaced -3.961223077678472 by -43766306/11048685 = -3.9612230776784747 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.628499386322628 by 178362561/38535721 = 4.628499386322628 rat: replaced -4.374149804264703 by -69856454/15970293 = -4.374149804264706 rat: replaced 2.1890788477051966 by 63723816/29109877 = 2.1890788477051966 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.628499386322628 by -178362561/38535721 = -4.628499386322628 rat: replaced 4.374149804264703 by 69856454/15970293 = 4.374149804264706 rat: replaced -2.1890788477051966 by -63723816/29109877 = -2.1890788477051966 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.576352190573585 by 51830122/11325641 = 4.5763521905735844 rat: replaced 4.595248511122397 by 12804637/2786495 = 4.595248511122396 rat: replaced 0.7422904573871465 by 26764721/36056938 = 0.7422904573871469 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.576352190573585 by -51830122/11325641 = -4.5763521905735844 rat: replaced -4.595248511122397 by -12804637/2786495 = -4.595248511122396 rat: replaced -0.7422904573871465 by -26764721/36056938 = -0.7422904573871469 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.324330619652556 by 37148893/8590669 = 4.324330619652556 rat: replaced 2.3808249765801666 by 53551151/22492687 = 2.3808249765801657 rat: replaced 4.25216612831465 by 120258406/28281681 = 4.25216612831465 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.324330619652556 by -37148893/8590669 = -4.324330619652556 rat: replaced -2.3808249765801666 by -53551151/22492687 = -2.3808249765801657 rat: replaced -4.25216612831465 by -120258406/28281681 = -4.25216612831465 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.866411165711223 by 459217347/94364683 = 4.866411165711223 rat: replaced -7.05551737927439 by -108947948/15441525 = -7.0555173792743915 rat: replaced 4.191466217219508 by 26167026/6242929 = 4.191466217219514 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.866411165711223 by -459217347/94364683 = -4.866411165711223 rat: replaced 7.05551737927439 by 108947948/15441525 = 7.0555173792743915 rat: replaced -4.191466217219508 by -26167026/6242929 = -4.191466217219514 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.174641042449812 by 326806054/63155309 = 5.174641042449812 rat: replaced -25.148460146039326 by -59420505/2362789 = -25.148460146039277 rat: replaced 6.307980062029587 by 40768759/6463045 = 6.307980062029585 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.174641042449812 by -326806054/63155309 = -5.174641042449812 rat: replaced 25.148460146039326 by 59420505/2362789 = 25.148460146039277 rat: replaced -6.307980062029587 by -40768759/6463045 = -6.307980062029585 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.430281553497441 by 38084685/8596448 = 4.430281553497444 rat: replaced -4.7337689104206895 by -71981851/15206034 = -4.733768910420692 rat: replaced 3.0842144949994417 by 55274956/17921891 = 3.0842144949994394 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.430281553497441 by -38084685/8596448 = -4.430281553497444 rat: replaced 4.7337689104206895 by 71981851/15206034 = 4.733768910420692 rat: replaced -3.0842144949994417 by -55274956/17921891 = -3.0842144949994394 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.567657391852485 by 33535567/7341962 = 4.567657391852477 rat: replaced -10.03140156510792 by -98188151/9788079 = -10.031401565107924 rat: replaced 3.7850791817808327 by 42479603/11222910 = 3.7850791817808394 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.567657391852485 by -33535567/7341962 = -4.567657391852477 rat: replaced 10.03140156510792 by 98188151/9788079 = 10.031401565107924 rat: replaced -3.7850791817808327 by -42479603/11222910 = -3.7850791817808394 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.001598199399102 by 60221368/12040425 = 5.001598199399107 rat: replaced -9.910798067402553 by -43411466/4380219 = -9.910798067402565 rat: replaced 4.880872704135873 by 34734960/7116547 = 4.880872704135868 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.001598199399102 by -60221368/12040425 = -5.001598199399107 rat: replaced 9.910798067402553 by 43411466/4380219 = 9.910798067402565 rat: replaced -4.880872704135873 by -34734960/7116547 = -4.880872704135868 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.354946737163193 by 27717359/6364569 = 4.354946737163192 rat: replaced -7.495810070292948 by -37008276/4937195 = -7.49581007029295 rat: replaced 3.707857711316749 by 27749177/7483884 = 3.707857711316744 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.354946737163193 by -27717359/6364569 = -4.354946737163192 rat: replaced 7.495810070292948 by 37008276/4937195 = 7.49581007029295 rat: replaced -3.707857711316749 by -27749177/7483884 = -3.707857711316744 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.940272117932757 by 155590343/31494286 = 4.940272117932758 rat: replaced -9.81544004341173 by -40173644/4092903 = -9.81544004341173 rat: replaced 2.893941089352212 by 35147120/12145071 = 2.8939410893522153 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.940272117932757 by -155590343/31494286 = -4.940272117932758 rat: replaced 9.81544004341173 by 40173644/4092903 = 9.81544004341173 rat: replaced -2.893941089352212 by -35147120/12145071 = -2.8939410893522153 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.907463532463506 by 18010612/3670045 = 4.907463532463498 rat: replaced 1.8712129663441681 by 2331522/1245995 = 1.8712129663441668 rat: replaced 5.506472847269195 by 16373062/2973421 = 5.5064728472691895 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.907463532463506 by -18010612/3670045 = -4.907463532463498 rat: replaced -1.8712129663441681 by -2331522/1245995 = -1.8712129663441668 rat: replaced -5.506472847269195 by -16373062/2973421 = -5.5064728472691895 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.971818896221759 by 35442317/7128642 = 4.971818896221749 rat: replaced -7.0988318607762215 by -44547761/6275365 = -7.098831860776226 rat: replaced 4.390389753610693 by 90873073/20698179 = 4.390389753610692 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.971818896221759 by -35442317/7128642 = -4.971818896221749 rat: replaced 7.0988318607762215 by 44547761/6275365 = 7.098831860776226 rat: replaced -4.390389753610693 by -90873073/20698179 = -4.390389753610692 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.717361730773403 by 38317733/8122704 = 4.717361730773398 rat: replaced 2.9056531108027857 by 78736002/27097523 = 2.9056531108027843 rat: replaced 3.1562158583224313 by 30108071/9539294 = 3.156215858322429 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.717361730773403 by -38317733/8122704 = -4.717361730773398 rat: replaced -2.9056531108027857 by -78736002/27097523 = -2.9056531108027843 rat: replaced -3.1562158583224313 by -30108071/9539294 = -3.156215858322429 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.676361572782064 by 95367347/20393493 = 4.6763615727820635 rat: replaced -5.219017876587315 by -23605383/4522955 = -5.219017876587319 rat: replaced 2.8939262077380583 by 27855588/9625535 = 2.893926207738063 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.676361572782064 by -95367347/20393493 = -4.6763615727820635 rat: replaced 5.219017876587315 by 23605383/4522955 = 5.219017876587319 rat: replaced -2.8939262077380583 by -27855588/9625535 = -2.893926207738063 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.321126407312228 by 65472294/12304217 = 5.321126407312224 rat: replaced -12.664911974122655 by -159081363/12560795 = -12.664911974122656 rat: replaced 4.782650256162095 by 54951671/11489795 = 4.782650256162099 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.321126407312228 by -65472294/12304217 = -5.321126407312224 rat: replaced 12.664911974122655 by 159081363/12560795 = 12.664911974122656 rat: replaced -4.782650256162095 by -54951671/11489795 = -4.782650256162099 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.6277152817639715 by 74299931/16055424 = 4.62771528176397 rat: replaced -5.372672211438647 by -28379599/5282213 = -5.372672211438653 rat: replaced 3.918075887475348 by 70728863/18051938 = 3.91807588747535 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.6277152817639715 by -74299931/16055424 = -4.62771528176397 rat: replaced 5.372672211438647 by 28379599/5282213 = 5.372672211438653 rat: replaced -3.918075887475348 by -70728863/18051938 = -3.91807588747535 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.829721838762247 by 123096241/25487232 = 4.829721838762247 rat: replaced -11.013442534044941 by -70874201/6435245 = -11.013442534044936 rat: replaced 2.6845514938348707 by 68679101/25583082 = 2.684551493834871 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.829721838762247 by -123096241/25487232 = -4.829721838762247 rat: replaced 11.013442534044941 by 70874201/6435245 = 11.013442534044936 rat: replaced -2.6845514938348707 by -68679101/25583082 = -2.684551493834871 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.530346402583758 by 33170023/7321741 = 4.530346402583757 rat: replaced -8.407947460190652 by -126734825/15073218 = -8.40794746019065 rat: replaced 4.792448838310752 by 26389447/5506464 = 4.792448838310756 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.530346402583758 by -33170023/7321741 = -4.530346402583757 rat: replaced 8.407947460190652 by 126734825/15073218 = 8.40794746019065 rat: replaced -4.792448838310752 by -26389447/5506464 = -4.792448838310756 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.4975003110066725 by 50554705/9195944 = 5.497500311006679 rat: replaced -12.260593270185542 by -293388236/23929367 = -12.260593270185542 rat: replaced 5.241332839467188 by 42692003/8145257 = 5.241332839467189 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.4975003110066725 by -50554705/9195944 = -5.497500311006679 rat: replaced 12.260593270185542 by 293388236/23929367 = 12.260593270185542 rat: replaced -5.241332839467188 by -42692003/8145257 = -5.241332839467189 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.764029150269622 by 150557618/31603001 = 4.7640291502696215 rat: replaced -8.962223179293266 by -172925917/19294980 = -8.962223179293266 rat: replaced 5.424614112473651 by 49844734/9188623 = 5.4246141124736535 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.764029150269622 by -150557618/31603001 = -4.7640291502696215 rat: replaced 8.962223179293266 by 172925917/19294980 = 8.962223179293266 rat: replaced -5.424614112473651 by -49844734/9188623 = -5.4246141124736535 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.9774250122280455 by 114554038/23014719 = 4.977425012228045 rat: replaced -10.66294314849002 by -61453495/5763277 = -10.66294314849 rat: replaced 2.5484451239623547 by 36546961/14340886 = 2.548445123962355 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.9774250122280455 by -114554038/23014719 = -4.977425012228045 rat: replaced 10.66294314849002 by 61453495/5763277 = 10.66294314849 rat: replaced -2.5484451239623547 by -36546961/14340886 = -2.548445123962355 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.758754840828375 by 25779141/5417203 = 4.7587548408283755 rat: replaced -9.143089223099343 by -68898398/7535571 = -9.14308922309935 rat: replaced 3.3705592646362583 by 87914240/26082983 = 3.3705592646362574 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.758754840828375 by -25779141/5417203 = -4.7587548408283755 rat: replaced 9.143089223099343 by 68898398/7535571 = 9.14308922309935 rat: replaced -3.3705592646362583 by -87914240/26082983 = -3.3705592646362574 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.434748716036475 by 58989187/13301585 = 4.434748716036473 rat: replaced -8.21575291512782 by -114802010/13973401 = -8.21575291512782 rat: replaced 2.7253121395439837 by 26382237/9680446 = 2.7253121395439837 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.434748716036475 by -58989187/13301585 = -4.434748716036473 rat: replaced 8.21575291512782 by 114802010/13973401 = 8.21575291512782 rat: replaced -2.7253121395439837 by -26382237/9680446 = -2.7253121395439837 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.566992857701207 by 301880178/66100427 = 4.566992857701207 rat: replaced -10.764327979675553 by -49132225/4564356 = -10.764327979675555 rat: replaced 5.2846251777308515 by 67860115/12841046 = 5.284625177730849 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.566992857701207 by -301880178/66100427 = -4.566992857701207 rat: replaced 10.764327979675553 by 49132225/4564356 = 10.764327979675555 rat: replaced -5.2846251777308515 by -67860115/12841046 = -5.284625177730849 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.515720767057789 by 17571029/3185627 = 5.515720767057788 rat: replaced -9.145135788319214 by -30926755/3381771 = -9.145135788319196 rat: replaced 2.766532787838175 by 65274186/23594221 = 2.7665327878381745 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.515720767057789 by -17571029/3185627 = -5.515720767057788 rat: replaced 9.145135788319214 by 30926755/3381771 = 9.145135788319196 rat: replaced -2.766532787838175 by -65274186/23594221 = -2.7665327878381745 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.093910800045344 by 77330288/15180927 = 5.093910800045347 rat: replaced -10.016034192956148 by -59344632/5924963 = -10.016034192956141 rat: replaced 4.958991760727608 by 102884693/20747099 = 4.958991760727608 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.093910800045344 by -77330288/15180927 = -5.093910800045347 rat: replaced 10.016034192956148 by 59344632/5924963 = 10.016034192956141 rat: replaced -4.958991760727608 by -102884693/20747099 = -4.958991760727608 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.8046481890232196 by 52919063/11014139 = 4.804648189023219 rat: replaced -8.177438130057553 by -33937325/4150117 = -8.177438130057539 rat: replaced 3.6600445886016706 by 36906949/10083743 = 3.660044588601673 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.8046481890232196 by -52919063/11014139 = -4.804648189023219 rat: replaced 8.177438130057553 by 33937325/4150117 = 8.177438130057539 rat: replaced -3.6600445886016706 by -36906949/10083743 = -3.660044588601673 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.580175764671651 by 54795133/9819607 = 5.580175764671641 rat: replaced -9.659912855637273 by -53702170/5559281 = -9.659912855637266 rat: replaced 2.9700000909144575 by 27114500/9129461 = 2.970000090914458 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.580175764671651 by -54795133/9819607 = -5.580175764671641 rat: replaced 9.659912855637273 by 53702170/5559281 = 9.659912855637266 rat: replaced -2.9700000909144575 by -27114500/9129461 = -2.970000090914458 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.06116609101435 by 65428999/12927653 = 5.061166091014355 rat: replaced -9.780677368553434 by -132092635/13505469 = -9.780677368553436 rat: replaced 4.418384643226519 by 51392927/11631610 = 4.418384643226518 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.06116609101435 by -65428999/12927653 = -5.061166091014355 rat: replaced 9.780677368553434 by 132092635/13505469 = 9.780677368553436 rat: replaced -4.418384643226519 by -51392927/11631610 = -4.418384643226518 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.67837214228721 by 228270371/48792692 = 4.67837214228721 rat: replaced -10.17542356564261 by -38896045/3822548 = -10.175423565642603 rat: replaced 3.8545131571782187 by 30011887/7786168 = 3.8545131571782165 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.67837214228721 by -228270371/48792692 = -4.67837214228721 rat: replaced 10.17542356564261 by 38896045/3822548 = 10.175423565642603 rat: replaced -3.8545131571782187 by -30011887/7786168 = -3.8545131571782165 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.607296994990148 by 38329901/6835718 = 5.607296994990139 rat: replaced -8.185741839993213 by -36341002/4439549 = -8.185741839993206 rat: replaced 4.132958960708819 by 26493792/6410369 = 4.132958960708814 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.607296994990148 by -38329901/6835718 = -5.607296994990139 rat: replaced 8.185741839993213 by 36341002/4439549 = 8.185741839993206 rat: replaced -4.132958960708819 by -26493792/6410369 = -4.132958960708814 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.237318530762112 by 40576979/7747663 = 5.237318530762115 rat: replaced -10.070555911658685 by -195084080/19371729 = -10.070555911658685 rat: replaced 1.2620510545117067 by 7810627/6188836 = 1.2620510545117045 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.237318530762112 by -40576979/7747663 = -5.237318530762115 rat: replaced 10.070555911658685 by 195084080/19371729 = 10.070555911658685 rat: replaced -1.2620510545117067 by -7810627/6188836 = -1.2620510545117045 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.238646688754541 by 62076850/14645441 = 4.2386466887545415 rat: replaced -11.247007663785038 by -36341005/3231171 = -11.247007663785048 rat: replaced 3.687993278564493 by 43017399/11664175 = 3.6879932785644933 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.238646688754541 by -62076850/14645441 = -4.2386466887545415 rat: replaced 11.247007663785038 by 36341005/3231171 = 11.247007663785048 rat: replaced -3.687993278564493 by -43017399/11664175 = -3.6879932785644933 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.533931396420922 by 30926540/6821131 = 4.5339313964209165 rat: replaced -5.86291968570991 by -59401103/10131659 = -5.862919685709912 rat: replaced 3.217736275164151 by 22605952/7025421 = 3.2177362751641505 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.533931396420922 by -30926540/6821131 = -4.5339313964209165 rat: replaced 5.86291968570991 by 59401103/10131659 = 5.862919685709912 rat: replaced -3.217736275164151 by -22605952/7025421 = -3.2177362751641505 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.135884643796408 by 40234320/7833961 = 5.135884643796414 rat: replaced -9.366843357647639 by -57030925/6088596 = -9.366843357647642 rat: replaced 5.095461980885355 by 160277991/31455046 = 5.095461980885356 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.135884643796408 by -40234320/7833961 = -5.135884643796414 rat: replaced 9.366843357647639 by 57030925/6088596 = 9.366843357647642 rat: replaced -5.095461980885355 by -160277991/31455046 = -5.095461980885356 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.869492323861473 by 40758425/8370159 = 4.86949232386147 rat: replaced -10.24430786487436 by -165745259/16179254 = -10.244307864874363 rat: replaced 5.466384847851036 by 87605027/16026136 = 5.466384847851035 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.869492323861473 by -40758425/8370159 = -4.86949232386147 rat: replaced 10.24430786487436 by 165745259/16179254 = 10.244307864874363 rat: replaced -5.466384847851036 by -87605027/16026136 = -5.466384847851035 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.707001998555106 by 40160913/8532164 = 4.707001998555114 rat: replaced -8.233389565268322 by -53701386/6522391 = -8.23338956526832 rat: replaced 3.1469193056884617 by 20425492/6490631 = 3.146919305688461 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.707001998555106 by -40160913/8532164 = -4.707001998555114 rat: replaced 8.233389565268322 by 53701386/6522391 = 8.23338956526832 rat: replaced -3.1469193056884617 by -20425492/6490631 = -3.146919305688461 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.020620479306932 by 83240537/16579731 = 5.020620479306932 rat: replaced -9.09094500144198 by -39308128/4323877 = -9.090945001441993 rat: replaced 3.668627357316534 by 82483231/22483404 = 3.6686273573165344 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.020620479306932 by -83240537/16579731 = -5.020620479306932 rat: replaced 9.09094500144198 by 39308128/4323877 = 9.090945001441993 rat: replaced -3.668627357316534 by -82483231/22483404 = -3.6686273573165344 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.853612096492183 by 113244094/23331921 = 4.853612096492183 rat: replaced -11.7694210962753 by -247812929/21055660 = -11.7694210962753 rat: replaced 1.5750523993148096 by 18267390/11597957 = 1.5750523993148104 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.853612096492183 by -113244094/23331921 = -4.853612096492183 rat: replaced 11.7694210962753 by 247812929/21055660 = 11.7694210962753 rat: replaced -1.5750523993148096 by -18267390/11597957 = -1.5750523993148104 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.482281880905946 by 33970395/6196397 = 5.482281880905952 rat: replaced -9.960432322106179 by -284567649/28569809 = -9.960432322106179 rat: replaced 3.999160572917846 by 171471460/42876863 = 3.9991605729178463 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.482281880905946 by -33970395/6196397 = -5.482281880905952 rat: replaced 9.960432322106179 by 284567649/28569809 = 9.960432322106179 rat: replaced -3.999160572917846 by -171471460/42876863 = -3.9991605729178463 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.284370799752417 by 29266769/5538364 = 5.284370799752418 rat: replaced -9.167234135720566 by -43000846/4690711 = -9.167234135720577 rat: replaced 2.572631414927927 by 37412657/14542564 = 2.5726314149279315 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.284370799752417 by -29266769/5538364 = -5.284370799752418 rat: replaced 9.167234135720566 by 43000846/4690711 = 9.167234135720577 rat: replaced -2.572631414927927 by -37412657/14542564 = -2.5726314149279315 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.264779452482548 by 34530467/6558768 = 5.264779452482539 rat: replaced -8.605566184323797 by -69688245/8098043 = -8.605566184323793 rat: replaced 3.550915213038975 by 53210397/14984981 = 3.5509152130389756 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.264779452482548 by -34530467/6558768 = -5.264779452482539 rat: replaced 8.605566184323797 by 69688245/8098043 = 8.605566184323793 rat: replaced -3.550915213038975 by -53210397/14984981 = -3.5509152130389756 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.583864177511719 by 122698974/26767585 = 4.583864177511718 rat: replaced -7.73724619024205 by -13517178/1747027 = -7.737246190242051 rat: replaced 3.14619152292721 by 41735058/13265263 = 3.146191522927212 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.583864177511719 by -122698974/26767585 = -4.583864177511718 rat: replaced 7.73724619024205 by 13517178/1747027 = 7.737246190242051 rat: replaced -3.14619152292721 by -41735058/13265263 = -3.146191522927212 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.043566612954166 by 52398940/10389263 = 5.043566612954162 rat: replaced -8.50697950238037 by -57682774/6780641 = -8.50697950238038 rat: replaced 3.161969868354156 by 47731279/15095425 = 3.1619698683541535 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.043566612954166 by -52398940/10389263 = -5.043566612954162 rat: replaced 8.50697950238037 by 57682774/6780641 = 8.50697950238038 rat: replaced -3.161969868354156 by -47731279/15095425 = -3.1619698683541535 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.604291086455606 by 37015351/8039316 = 4.604291086455614 rat: replaced -10.028903991710377 by -90078001/8981839 = -10.028903991710383 rat: replaced 3.3810622855839743 by 32203631/9524708 = 3.381062285583978 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.604291086455606 by -37015351/8039316 = -4.604291086455614 rat: replaced 10.028903991710377 by 90078001/8981839 = 10.028903991710383 rat: replaced -3.3810622855839743 by -32203631/9524708 = -3.381062285583978 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.717448362855387 by 26762311/5673048 = 4.717448362855382 rat: replaced -12.446786329476515 by -109327219/8783570 = -12.446786329476511 rat: replaced 2.97206248794665 by 34982929/11770590 = 2.9720624879466535 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.717448362855387 by -26762311/5673048 = -4.717448362855382 rat: replaced 12.446786329476515 by 109327219/8783570 = 12.446786329476511 rat: replaced -2.97206248794665 by -34982929/11770590 = -2.9720624879466535 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.96038513728263 by 18712919/3772473 = 4.960385137282626 rat: replaced -8.857840980657116 by -161071441/18184052 = -8.857840980657116 rat: replaced 4.233688401997735 by 58267339/13762784 = 4.233688401997735 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.96038513728263 by -18712919/3772473 = -4.960385137282626 rat: replaced 8.857840980657116 by 161071441/18184052 = 8.857840980657116 rat: replaced -4.233688401997735 by -58267339/13762784 = -4.233688401997735 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.388680316204819 by 98680537/18312561 = 5.388680316204817 rat: replaced -9.32006770369569 by -46672131/5007703 = -9.320067703695686 rat: replaced 3.6280418144670863 by 53606335/14775556 = 3.628041814467083 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.388680316204819 by -98680537/18312561 = -5.388680316204817 rat: replaced 9.32006770369569 by 46672131/5007703 = 9.320067703695686 rat: replaced -3.6280418144670863 by -53606335/14775556 = -3.628041814467083 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.287578082425247 by 82774132/15654451 = 5.287578082425248 rat: replaced -11.062206207575397 by -53507460/4836961 = -11.062206207575377 rat: replaced 2.610196263257995 by 30482240/11678141 = 2.6101962632579965 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.287578082425247 by -82774132/15654451 = -5.287578082425248 rat: replaced 11.062206207575397 by 53507460/4836961 = 11.062206207575377 rat: replaced -2.610196263257995 by -30482240/11678141 = -2.6101962632579965 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.955028450610763 by 71652179/14460498 = 4.955028450610761 rat: replaced -9.063593578121099 by -294271726/32467445 = -9.0635935781211 rat: replaced 4.705168623867802 by 24913355/5294891 = 4.7051686238678005 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.955028450610763 by -71652179/14460498 = -4.955028450610761 rat: replaced 9.063593578121099 by 294271726/32467445 = 9.0635935781211 rat: replaced -4.705168623867802 by -24913355/5294891 = -4.7051686238678005 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.939278256176743 by 144121674/29178691 = 4.939278256176742 rat: replaced -11.299614053081234 by -86705724/7673335 = -11.299614053081223 rat: replaced 2.8329050576580643 by 76674023/27065511 = 2.832905057658065 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.939278256176743 by -144121674/29178691 = -4.939278256176742 rat: replaced 11.299614053081234 by 86705724/7673335 = 11.299614053081223 rat: replaced -2.8329050576580643 by -76674023/27065511 = -2.832905057658065 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.234717045706708 by 27837283/5317820 = 5.2347170457067 rat: replaced -9.870498614866868 by -74627336/7560645 = -9.870498614866854 rat: replaced 3.0833266513625683 by 34454165/11174348 = 3.083326651362567 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.234717045706708 by -27837283/5317820 = -5.2347170457067 rat: replaced 9.870498614866868 by 74627336/7560645 = 9.870498614866854 rat: replaced -3.0833266513625683 by -34454165/11174348 = -3.083326651362567 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.364804218003771 by 20122195/3750779 = 5.36480421800378 rat: replaced -10.770823188979744 by -47867477/4444180 = -10.770823188979744 rat: replaced 1.6128049652461365 by 16240417/10069672 = 1.6128049652461371 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.364804218003771 by -20122195/3750779 = -5.36480421800378 rat: replaced 10.770823188979744 by 47867477/4444180 = 10.770823188979744 rat: replaced -1.6128049652461365 by -16240417/10069672 = -1.6128049652461371 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.757614609959276 by 92626879/19469185 = 4.757614609959277 rat: replaced -8.549340769045246 by -368020685/43046674 = -8.549340769045246 rat: replaced 5.1287501676415985 by 43175137/8418257 = 5.128750167641591 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.757614609959276 by -92626879/19469185 = -4.757614609959277 rat: replaced 8.549340769045246 by 368020685/43046674 = 8.549340769045246 rat: replaced -5.1287501676415985 by -43175137/8418257 = -5.128750167641591 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.043413604448176 by 123574169/24502089 = 5.043413604448176 rat: replaced -10.816262934984525 by -54588327/5046875 = -10.81626293498452 rat: replaced 2.8218944884226587 by 65913185/23357778 = 2.8218944884226573 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.043413604448176 by -123574169/24502089 = -5.043413604448176 rat: replaced 10.816262934984525 by 54588327/5046875 = 10.81626293498452 rat: replaced -2.8218944884226587 by -65913185/23357778 = -2.8218944884226573 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.137211148340091 by 124109355/24158897 = 5.137211148340092 rat: replaced -11.66639512208204 by -83090621/7122219 = -11.666395122082037 rat: replaced 3.273807258864857 by 43603649/13318942 = 3.273807258864856 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.137211148340091 by -124109355/24158897 = -5.137211148340092 rat: replaced 11.66639512208204 by 83090621/7122219 = 11.666395122082037 rat: replaced -3.273807258864857 by -43603649/13318942 = -3.273807258864856 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.922609203611877 by 24446460/4966159 = 4.922609203611886 rat: replaced -10.05839615777877 by -28783891/2861678 = -10.058396157778757 rat: replaced 3.3881984982317315 by 16663394/4918069 = 3.388198498231725 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.922609203611877 by -24446460/4966159 = -4.922609203611886 rat: replaced 10.05839615777877 by 28783891/2861678 = 10.058396157778757 rat: replaced -3.3881984982317315 by -16663394/4918069 = -3.388198498231725 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.593513587119988 by 34745176/7563965 = 4.593513587119983 rat: replaced -7.501587114571411 by -22793820/3038533 = -7.501587114571406 rat: replaced 4.069831732410115 by 25339159/6226095 = 4.0698317324101225 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.593513587119988 by -34745176/7563965 = -4.593513587119983 rat: replaced 7.501587114571411 by 22793820/3038533 = 7.501587114571406 rat: replaced -4.069831732410115 by -25339159/6226095 = -4.0698317324101225 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.989363783954431 by 41660529/8349868 = 4.989363783954429 rat: replaced -9.270172304986488 by -382659271/41278550 = -9.270172304986488 rat: replaced 3.1462868105715405 by 24173189/7683085 = 3.1462868105715347 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.989363783954431 by -41660529/8349868 = -4.989363783954429 rat: replaced 9.270172304986488 by 382659271/41278550 = 9.270172304986488 rat: replaced -3.1462868105715405 by -24173189/7683085 = -3.1462868105715347 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.39485732122501 by 36744179/6810964 = 5.394857321225013 rat: replaced -9.163980221884618 by -19610377/2139941 = -9.163980221884621 rat: replaced 2.9298257351780688 by 22201903/7577892 = 2.929825735178068 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.39485732122501 by -36744179/6810964 = -5.394857321225013 rat: replaced 9.163980221884618 by 19610377/2139941 = 9.163980221884621 rat: replaced -2.9298257351780688 by -22201903/7577892 = -2.929825735178068 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.220737209349646 by 5900378/1130181 = 5.220737209349653 rat: replaced -9.639210616735834 by -67525726/7005317 = -9.63921061673583 rat: replaced 3.618085562909925 by 122284765/33798196 = 3.6180855629099256 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.220737209349646 by -5900378/1130181 = -5.220737209349653 rat: replaced 9.639210616735834 by 67525726/7005317 = 9.63921061673583 rat: replaced -3.618085562909925 by -122284765/33798196 = -3.6180855629099256 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.416816186470413 by 44231473/8165585 = 5.416816186470412 rat: replaced -9.866504640133385 by -98368775/9969972 = -9.866504640133392 rat: replaced 2.9980994817241684 by 29368630/9795749 = 2.9980994817241644 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.416816186470413 by -44231473/8165585 = -5.416816186470412 rat: replaced 9.866504640133385 by 98368775/9969972 = 9.866504640133392 rat: replaced -2.9980994817241684 by -29368630/9795749 = -2.9980994817241644 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.011398242708021 by 18920945/3775582 = 5.011398242708012 rat: replaced -10.14061469905097 by -200055649/19728158 = -10.140614699050971 rat: replaced 3.394585635693917 by 3361003/990107 = 3.39458563569392 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.011398242708021 by -18920945/3775582 = -5.011398242708012 rat: replaced 10.14061469905097 by 200055649/19728158 = 10.140614699050971 rat: replaced -3.394585635693917 by -3361003/990107 = -3.39458563569392 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.564580562162538 by 84077685/15109438 = 5.564580562162537 rat: replaced -10.150257619529834 by -31202978/3074107 = -10.150257619529834 rat: replaced 3.2284003362007674 by 41156729/12748335 = 3.2284003362007665 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.564580562162538 by -84077685/15109438 = -5.564580562162537 rat: replaced 10.150257619529834 by 31202978/3074107 = 10.150257619529834 rat: replaced -3.2284003362007674 by -41156729/12748335 = -3.2284003362007665 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.650517763610264 by 36002483/6371537 = 5.650517763610256 rat: replaced -9.442750612143527 by -29999156/3176951 = -9.44275061214353 rat: replaced 2.8146653051745405 by 106944807/37995568 = 2.8146653051745405 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.650517763610264 by -36002483/6371537 = -5.650517763610256 rat: replaced 9.442750612143527 by 29999156/3176951 = 9.44275061214353 rat: replaced -2.8146653051745405 by -106944807/37995568 = -2.8146653051745405 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0324908098663395 by 17742147/3525520 = 5.032490809866346 rat: replaced -10.200796041284638 by -28099429/2754631 = -10.200796041284658 rat: replaced 3.9929544316083114 by 82206854/20587977 = 3.992954431608312 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.0324908098663395 by -17742147/3525520 = -5.032490809866346 rat: replaced 10.200796041284638 by 28099429/2754631 = 10.200796041284658 rat: replaced -3.9929544316083114 by -82206854/20587977 = -3.992954431608312 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.051634588478633 by 18107175/3584419 = 5.051634588478635 rat: replaced -9.380609893281596 by -40252319/4291013 = -9.38060989328161 rat: replaced 3.337758054245012 by 32082467/9611981 = 3.3377580542450094 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.051634588478633 by -18107175/3584419 = -5.051634588478635 rat: replaced 9.380609893281596 by 40252319/4291013 = 9.38060989328161 rat: replaced -3.337758054245012 by -32082467/9611981 = -3.3377580542450094 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.99160507030088 by 125033173/25048691 = 4.99160507030088 rat: replaced -9.906531604567611 by -108755489/10978160 = -9.906531604567615 rat: replaced 3.322481421407584 by 26274718/7908161 = 3.3224814214075815 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.99160507030088 by -125033173/25048691 = -4.99160507030088 rat: replaced 9.906531604567611 by 108755489/10978160 = 9.906531604567615 rat: replaced -3.322481421407584 by -26274718/7908161 = -3.3224814214075815 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.07103943124821 by 268044627/52857926 = 5.07103943124821 rat: replaced -10.702899933671663 by -67465612/6303489 = -10.702899933671654 rat: replaced 3.273442905816342 by 38101769/11639662 = 3.2734429058163372 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.07103943124821 by -268044627/52857926 = -5.07103943124821 rat: replaced 10.702899933671663 by 67465612/6303489 = 10.702899933671654 rat: replaced -3.273442905816342 by -38101769/11639662 = -3.2734429058163372 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.905515677193983 by 131408900/26787989 = 4.905515677193984 rat: replaced -10.557841648494255 by -23917101/2265340 = -10.557841648494266 rat: replaced 2.979504881624943 by 20723249/6955266 = 2.9795048816249445 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.905515677193983 by -131408900/26787989 = -4.905515677193984 rat: replaced 10.557841648494255 by 23917101/2265340 = 10.557841648494266 rat: replaced -2.979504881624943 by -20723249/6955266 = -2.9795048816249445 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.74733962149817 by 68857807/11980814 = 5.747339621498172 rat: replaced -10.676969130588239 by -38513568/3607163 = -10.67696913058822 rat: replaced 2.404695427863014 by 55721677/23172031 = 2.404695427863013 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.74733962149817 by -68857807/11980814 = -5.747339621498172 rat: replaced 10.676969130588239 by 38513568/3607163 = 10.67696913058822 rat: replaced -2.404695427863014 by -55721677/23172031 = -2.404695427863013 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.5307772725733475 by 50793226/9183741 = 5.530777272573345 rat: replaced -11.03258690087345 by -339310211/30755272 = -11.03258690087345 rat: replaced 4.242068575014246 by 46808673/11034398 = 4.242068575014242 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.5307772725733475 by -50793226/9183741 = -5.530777272573345 rat: replaced 11.03258690087345 by 339310211/30755272 = 11.03258690087345 rat: replaced -4.242068575014246 by -46808673/11034398 = -4.242068575014242 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.19004074560561 by 15180755/2924978 = 5.190040745605608 rat: replaced -9.153489015416618 by -52876841/5776687 = -9.153489015416621 rat: replaced 2.6609886438278805 by 21045533/7908915 = 2.6609886438278827 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.19004074560561 by -15180755/2924978 = -5.190040745605608 rat: replaced 9.153489015416618 by 52876841/5776687 = 9.153489015416621 rat: replaced -2.6609886438278805 by -21045533/7908915 = -2.6609886438278827 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.043979441638962 by 88938139/17632534 = 5.043979441638961 rat: replaced -11.113396300256946 by -89364520/8041153 = -11.113396300256941 rat: replaced 2.4440390701262227 by 61859824/25310489 = 2.444039070126223 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.043979441638962 by -88938139/17632534 = -5.043979441638961 rat: replaced 11.113396300256946 by 89364520/8041153 = 11.113396300256941 rat: replaced -2.4440390701262227 by -61859824/25310489 = -2.444039070126223 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.291154750321199 by 26743475/5054374 = 5.291154750321207 rat: replaced -8.916390455702158 by -34446611/3863291 = -8.916390455702146 rat: replaced 3.0366513677022993 by 13542794/4459779 = 3.036651367702301 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.291154750321199 by -26743475/5054374 = -5.291154750321207 rat: replaced 8.916390455702158 by 34446611/3863291 = 8.916390455702146 rat: replaced -3.0366513677022993 by -13542794/4459779 = -3.036651367702301 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.3153147670489345 by 73103783/13753425 = 5.315314767048935 rat: replaced -9.828572769689847 by -59257281/6029083 = -9.82857276968985 rat: replaced 3.2433563735833397 by 25121193/7745431 = 3.2433563735833424 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.3153147670489345 by -73103783/13753425 = -5.315314767048935 rat: replaced 9.828572769689847 by 59257281/6029083 = 9.82857276968985 rat: replaced -3.2433563735833397 by -25121193/7745431 = -3.2433563735833424 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.317519008565869 by 44996011/8461843 = 5.317519008565864 rat: replaced -10.088650015605856 by -72662735/7202424 = -10.088650015605857 rat: replaced 2.200714460374204 by 119942972/54501833 = 2.200714460374204 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.317519008565869 by -44996011/8461843 = -5.317519008565864 rat: replaced 10.088650015605856 by 72662735/7202424 = 10.088650015605857 rat: replaced -2.200714460374204 by -119942972/54501833 = -2.200714460374204 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.631404029806015 by 20723167/3679929 = 5.63140402980601 rat: replaced -10.554953945924042 by -78123811/7401625 = -10.554953945924037 rat: replaced 3.1134150457885292 by 15302052/4914877 = 3.1134150457885315 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.631404029806015 by -20723167/3679929 = -5.63140402980601 rat: replaced 10.554953945924042 by 78123811/7401625 = 10.554953945924037 rat: replaced -3.1134150457885292 by -15302052/4914877 = -3.1134150457885315 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.353179751986737 by 44030139/8225044 = 5.353179751986737 rat: replaced -10.968188589882919 by -64810467/5908949 = -10.968188589882905 rat: replaced 3.6076967608290067 by 35777352/9916951 = 3.607696760829009 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.353179751986737 by -44030139/8225044 = -5.353179751986737 rat: replaced 10.968188589882919 by 64810467/5908949 = 10.968188589882905 rat: replaced -3.6076967608290067 by -35777352/9916951 = -3.607696760829009 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.114722734662179 by 37163023/7265892 = 5.114722734662172 rat: replaced -10.424832590793976 by -14271085/1368951 = -10.424832590793972 rat: replaced 3.6160755894271475 by 31410679/8686400 = 3.6160755894271506 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.114722734662179 by -37163023/7265892 = -5.114722734662172 rat: replaced 10.424832590793976 by 14271085/1368951 = 10.424832590793972 rat: replaced -3.6160755894271475 by -31410679/8686400 = -3.6160755894271506 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.292291500501967 by 117213434/22147955 = 5.292291500501965 rat: replaced -9.338575116248805 by -68728607/7359646 = -9.338575116248798 rat: replaced 2.4368095528471656 by 11784623/4836087 = 2.4368095528471674 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.292291500501967 by -117213434/22147955 = -5.292291500501965 rat: replaced 9.338575116248805 by 68728607/7359646 = 9.338575116248798 rat: replaced -2.4368095528471656 by -11784623/4836087 = -2.4368095528471674 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.905515924914092 by 51255602/10448565 = 4.905515924914091 rat: replaced -11.206974910416285 by -102132121/9113264 = -11.20697491041629 rat: replaced 3.6803095975306066 by 30819748/8374227 = 3.6803095975306137 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.905515924914092 by -51255602/10448565 = -4.905515924914091 rat: replaced 11.206974910416285 by 102132121/9113264 = 11.20697491041629 rat: replaced -3.6803095975306066 by -30819748/8374227 = -3.6803095975306137 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.4494497287406505 by 40664050/7462047 = 5.449449728740652 rat: replaced -10.661484564433094 by -31433820/2948353 = -10.661484564433092 rat: replaced 2.569622562351615 by 47976413/18670607 = 2.569622562351615 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.4494497287406505 by -40664050/7462047 = -5.449449728740652 rat: replaced 10.661484564433094 by 31433820/2948353 = 10.661484564433092 rat: replaced -2.569622562351615 by -47976413/18670607 = -2.569622562351615 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.064714918814963 by 12884341/2543942 = 5.064714918814973 rat: replaced -9.53042038788392 by -168703051/17701533 = -9.53042038788392 rat: replaced 2.443739959612467 by 21897584/8960685 = 2.4437399596124627 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.064714918814963 by -12884341/2543942 = -5.064714918814973 rat: replaced 9.53042038788392 by 168703051/17701533 = 9.53042038788392 rat: replaced -2.443739959612467 by -21897584/8960685 = -2.4437399596124627 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.898932126795684 by 35877011/7323435 = 4.898932126795691 rat: replaced -10.111734646519801 by -90309429/8931151 = -10.111734646519805 rat: replaced 3.276356719901794 by 35138513/10724874 = 3.276356719901791 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.898932126795684 by -35877011/7323435 = -4.898932126795691 rat: replaced 10.111734646519801 by 90309429/8931151 = 10.111734646519805 rat: replaced -3.276356719901794 by -35138513/10724874 = -3.276356719901791 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.0736824336264785 by 44507708/7327961 = 6.073682433626489 rat: replaced -10.160739790502822 by -212510247/20914840 = -10.16073979050282 rat: replaced 2.6072544804944267 by 21237905/8145697 = 2.6072544804944253 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.0736824336264785 by -44507708/7327961 = -6.073682433626489 rat: replaced 10.160739790502822 by 212510247/20914840 = 10.16073979050282 rat: replaced -2.6072544804944267 by -21237905/8145697 = -2.6072544804944253 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.516228476352637 by 66426997/12042104 = 5.516228476352637 rat: replaced -10.308252597996448 by -547384634/53101593 = -10.308252597996448 rat: replaced 3.117231842194133 by 11926741/3826068 = 3.117231842194127 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.516228476352637 by -66426997/12042104 = -5.516228476352637 rat: replaced 10.308252597996448 by 547384634/53101593 = 10.308252597996448 rat: replaced -3.117231842194133 by -11926741/3826068 = -3.117231842194127 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.207343592228992 by 40055517/7692121 = 5.207343592228983 rat: replaced -10.36943772284012 by -12997271/1253421 = -10.36943772284013 rat: replaced 3.425769298761663 by 22227347/6488279 = 3.4257692987616593 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.207343592228992 by -40055517/7692121 = -5.207343592228983 rat: replaced 10.36943772284012 by 12997271/1253421 = 10.36943772284013 rat: replaced -3.425769298761663 by -22227347/6488279 = -3.4257692987616593 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.5151758572157075 by 201461719/36528612 = 5.515175857215708 rat: replaced -10.544477887724385 by -54920776/5208487 = -10.544477887724401 rat: replaced 2.9946927433192525 by 34516580/11525917 = 2.9946927433192516 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.5151758572157075 by -201461719/36528612 = -5.515175857215708 rat: replaced 10.544477887724385 by 54920776/5208487 = 10.544477887724401 rat: replaced -2.9946927433192525 by -34516580/11525917 = -2.9946927433192516 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.970421776191679 by 104434362/21011167 = 4.97042177619168 rat: replaced -10.996886646691685 by -43103045/3919568 = -10.996886646691676 rat: replaced 2.618853792982369 by 23180347/8851333 = 2.618853792982368 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.970421776191679 by -104434362/21011167 = -4.97042177619168 rat: replaced 10.996886646691685 by 43103045/3919568 = 10.996886646691676 rat: replaced -2.618853792982369 by -23180347/8851333 = -2.618853792982368 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.389078987455361 by 55949639/10382041 = 5.389078987455357 rat: replaced -10.781960115876334 by -101119896/9378619 = -10.781960115876336 rat: replaced 3.3314270736698917 by 33109921/9938660 = 3.331427073669891 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.389078987455361 by -55949639/10382041 = -5.389078987455357 rat: replaced 10.781960115876334 by 101119896/9378619 = 10.781960115876336 rat: replaced -3.3314270736698917 by -33109921/9938660 = -3.331427073669891 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.742025337015277 by 77486036/16340283 = 4.742025337015277 rat: replaced -10.344790066091608 by -36422661/3520870 = -10.344790066091619 rat: replaced 3.7002013390953974 by 14963333/4043924 = 3.7002013390953934 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.742025337015277 by -77486036/16340283 = -4.742025337015277 rat: replaced 10.344790066091608 by 36422661/3520870 = 10.344790066091619 rat: replaced -3.7002013390953974 by -14963333/4043924 = -3.7002013390953934 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.272222089989469 by 28795559/5461750 = 5.272222089989472 rat: replaced -9.366338881931144 by -37700460/4025101 = -9.366338881931162 rat: replaced 3.3244321079188173 by 10971979/3300407 = 3.324432107918811 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.272222089989469 by -28795559/5461750 = -5.272222089989472 rat: replaced 9.366338881931144 by 37700460/4025101 = 9.366338881931162 rat: replaced -3.3244321079188173 by -10971979/3300407 = -3.324432107918811 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.188780094804061 by 26689331/5143662 = 5.188780094804052 rat: replaced -9.403550862167068 by -66675379/7090447 = -9.403550862167082 rat: replaced 2.435251621873802 by 174119775/71499706 = 2.435251621873802 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.188780094804061 by -26689331/5143662 = -5.188780094804052 rat: replaced 9.403550862167068 by 66675379/7090447 = 9.403550862167082 rat: replaced -2.435251621873802 by -174119775/71499706 = -2.435251621873802 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.263143824406591 by 27266985/5180741 = 5.263143824406586 rat: replaced -10.606840388251934 by -95988628/9049691 = -10.60684038825193 rat: replaced 3.2823254801922035 by 264321719/80528796 = 3.2823254801922035 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.263143824406591 by -27266985/5180741 = -5.263143824406586 rat: replaced 10.606840388251934 by 95988628/9049691 = 10.60684038825193 rat: replaced -3.2823254801922035 by -264321719/80528796 = -3.2823254801922035 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.403222273464166 by 9595523/1775889 = 5.403222273464164 rat: replaced -9.692709321023385 by -98186244/10129907 = -9.692709321023381 rat: replaced 3.437031198010903 by 19450981/5659239 = 3.4370311980108985 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.403222273464166 by -9595523/1775889 = -5.403222273464164 rat: replaced 9.692709321023385 by 98186244/10129907 = 9.692709321023381 rat: replaced -3.437031198010903 by -19450981/5659239 = -3.4370311980108985 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.3154271163889435 by 70607407/13283487 = 5.315427116388942 rat: replaced -10.961267576150602 by -77236018/7046267 = -10.961267576150606 rat: replaced 3.1633254970558458 by 6987650/2208957 = 3.16332549705585 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.3154271163889435 by -70607407/13283487 = -5.315427116388942 rat: replaced 10.961267576150602 by 77236018/7046267 = 10.961267576150606 rat: replaced -3.1633254970558458 by -6987650/2208957 = -3.16332549705585 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.79933064338217 by 48710950/8399409 = 5.799330643382171 rat: replaced -10.065825613095953 by -35625886/3539291 = -10.065825613095956 rat: replaced 2.5146742913543356 by 42476485/16891446 = 2.514674291354334 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.79933064338217 by -48710950/8399409 = -5.799330643382171 rat: replaced 10.065825613095953 by 35625886/3539291 = 10.065825613095956 rat: replaced -2.5146742913543356 by -42476485/16891446 = -2.514674291354334 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.248577494300566 by 39840141/7590655 = 5.248577494300558 rat: replaced -10.042226777788388 by -78025471/7769738 = -10.04222677778839 rat: replaced 3.611666889386554 by 70324189/19471394 = 3.6116668893865533 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.248577494300566 by -39840141/7590655 = -5.248577494300558 rat: replaced 10.042226777788388 by 78025471/7769738 = 10.04222677778839 rat: replaced -3.611666889386554 by -70324189/19471394 = -3.6116668893865533 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.123363120639906 by 54505083/10638536 = 5.123363120639907 rat: replaced -10.365693445233035 by -136518743/13170247 = -10.365693445233031 rat: replaced 2.9368649023944657 by 42722794/14547075 = 2.9368649023944675 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.123363120639906 by -54505083/10638536 = -5.123363120639907 rat: replaced 10.365693445233035 by 136518743/13170247 = 10.365693445233031 rat: replaced -2.9368649023944657 by -42722794/14547075 = -2.9368649023944675 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.595164670934325 by 36465031/6517240 = 5.595164670934322 rat: replaced -10.86243089294383 by -59128187/5443366 = -10.862430892943815 rat: replaced 3.753099652324736 by 23589969/6285463 = 3.753099652324737 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.595164670934325 by -36465031/6517240 = -5.595164670934322 rat: replaced 10.86243089294383 by 59128187/5443366 = 10.862430892943815 rat: replaced -3.753099652324736 by -23589969/6285463 = -3.753099652324737 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.235769136448324 by 29164187/5570182 = 5.235769136448324 rat: replaced -10.79630508642498 by -46422568/4299857 = -10.796305086424967 rat: replaced 3.503378226882176 by 64297399/18352971 = 3.5033782268821763 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.235769136448324 by -29164187/5570182 = -5.235769136448324 rat: replaced 10.79630508642498 by 46422568/4299857 = 10.796305086424967 rat: replaced -3.503378226882176 by -64297399/18352971 = -3.5033782268821763 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.681684683653034 by 65145850/11465939 = 5.681684683653035 rat: replaced -10.850217133214871 by -92799889/8552814 = -10.85021713321487 rat: replaced 4.331679095895833 by 55315685/12770033 = 4.331679095895836 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.681684683653034 by -65145850/11465939 = -5.681684683653035 rat: replaced 10.850217133214871 by 92799889/8552814 = 10.85021713321487 rat: replaced -4.331679095895833 by -55315685/12770033 = -4.331679095895836 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.001117461403793 by 27241927/5447168 = 5.001117461403798 rat: replaced -10.38032170275216 by -40938193/3943827 = -10.380321702752175 rat: replaced 3.5610426792917367 by 18905629/5309015 = 3.561042679291733 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.001117461403793 by -27241927/5447168 = -5.001117461403798 rat: replaced 10.38032170275216 by 40938193/3943827 = 10.380321702752175 rat: replaced -3.5610426792917367 by -18905629/5309015 = -3.561042679291733 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.391721804286351 by 58216453/10797377 = 5.391721804286356 rat: replaced -10.382931180266723 by -22373327/2154818 = -10.382931180266732 rat: replaced 3.2060644578568325 by 34076137/10628650 = 3.2060644578568303 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.391721804286351 by -58216453/10797377 = -5.391721804286356 rat: replaced 10.382931180266723 by 22373327/2154818 = 10.382931180266732 rat: replaced -3.2060644578568325 by -34076137/10628650 = -3.2060644578568303 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.817675999703837 by 298817580/51363737 = 5.817675999703837 rat: replaced -10.57042998924642 by -62605306/5922683 = -10.570429989246428 rat: replaced 3.624807404087002 by 27259563/7520279 = 3.6248074040870026 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.817675999703837 by -298817580/51363737 = -5.817675999703837 rat: replaced 10.57042998924642 by 62605306/5922683 = 10.570429989246428 rat: replaced -3.624807404087002 by -27259563/7520279 = -3.6248074040870026 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.461408759484489 by 126649168/23189835 = 5.46140875948449 rat: replaced -10.62342551045261 by -91550482/8617793 = -10.623425510452618 rat: replaced 3.4492259891310173 by 25850338/7494533 = 3.4492259891310106 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.461408759484489 by -126649168/23189835 = -5.46140875948449 rat: replaced 10.62342551045261 by 91550482/8617793 = 10.623425510452618 rat: replaced -3.4492259891310173 by -25850338/7494533 = -3.4492259891310106 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.437265295849473 by 40138795/7382166 = 5.437265295849484 rat: replaced -10.985156072449188 by -110158475/10027939 = -10.985156072449184 rat: replaced 3.0599094142400904 by 71167927/23258181 = 3.0599094142400904 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.437265295849473 by -40138795/7382166 = -5.437265295849484 rat: replaced 10.985156072449188 by 110158475/10027939 = 10.985156072449184 rat: replaced -3.0599094142400904 by -71167927/23258181 = -3.0599094142400904 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.223099384898664 by 17184138/3290027 = 5.223099384898665 rat: replaced -11.263574215365681 by -83528898/7415843 = -11.26357421536567 rat: replaced 3.177714424128922 by 41862158/13173669 = 3.1777144241289195 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.223099384898664 by -17184138/3290027 = -5.223099384898665 rat: replaced 11.263574215365681 by 83528898/7415843 = 11.26357421536567 rat: replaced -3.177714424128922 by -41862158/13173669 = -3.1777144241289195 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.155721348654649 by 20171105/3912373 = 5.15572134865464 rat: replaced -11.485289669133206 by -174045461/15153772 = -11.485289669133204 rat: replaced 3.4722070529615654 by 59996599/17279096 = 3.472207052961567 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.155721348654649 by -20171105/3912373 = -5.15572134865464 rat: replaced 11.485289669133206 by 174045461/15153772 = 11.485289669133204 rat: replaced -3.4722070529615654 by -59996599/17279096 = -3.472207052961567 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.863971045529356 by 48652711/8296888 = 5.86397104552936 rat: replaced -10.441038165000526 by -49691845/4759282 = -10.441038165000519 rat: replaced 2.5501560100689145 by 28471635/11164664 = 2.5501560100689105 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.863971045529356 by -48652711/8296888 = -5.86397104552936 rat: replaced 10.441038165000526 by 49691845/4759282 = 10.441038165000519 rat: replaced -2.5501560100689145 by -28471635/11164664 = -2.5501560100689105 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.786404694232437 by 37278675/6442459 = 5.786404694232435 rat: replaced -10.548198877853832 by -137798685/13063717 = -10.54819887785383 rat: replaced 2.6997091628804593 by 32603089/12076519 = 2.6997091628804624 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.786404694232437 by -37278675/6442459 = -5.786404694232435 rat: replaced 10.548198877853832 by 137798685/13063717 = 10.54819887785383 rat: replaced -2.6997091628804593 by -32603089/12076519 = -2.6997091628804624 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.142850076410257 by 38468606/7480017 = 5.142850076410254 rat: replaced -10.831765434181754 by -284208205/26238401 = -10.831765434181754 rat: replaced 3.402740128952727 by 146782582/43136583 = 3.402740128952727 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.142850076410257 by -38468606/7480017 = -5.142850076410254 rat: replaced 10.831765434181754 by 284208205/26238401 = 10.831765434181754 rat: replaced -3.402740128952727 by -146782582/43136583 = -3.402740128952727 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.944859534921495 by 72624461/12216346 = 5.944859534921489 rat: replaced -10.863768913152942 by -94600559/8707895 = -10.86376891315295 rat: replaced 3.482734199518673 by 33159579/9521134 = 3.4827341995186707 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.944859534921495 by -72624461/12216346 = -5.944859534921489 rat: replaced 10.863768913152942 by 94600559/8707895 = 10.86376891315295 rat: replaced -3.482734199518673 by -33159579/9521134 = -3.4827341995186707 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.758311988514152 by 145905900/25338311 = 5.758311988514151 rat: replaced -10.412736196416486 by -191384873/18379883 = -10.412736196416484 rat: replaced 4.099408657450227 by 33920807/8274561 = 4.099408657450226 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.758311988514152 by -145905900/25338311 = -5.758311988514151 rat: replaced 10.412736196416486 by 191384873/18379883 = 10.412736196416484 rat: replaced -4.099408657450227 by -33920807/8274561 = -4.099408657450226 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.225580145466433 by 56363792/10786131 = 5.225580145466433 rat: replaced -10.927314648726671 by -185406250/16967229 = -10.927314648726671 rat: replaced 3.4795162719523147 by 35980874/10340769 = 3.4795162719523085 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.225580145466433 by -56363792/10786131 = -5.225580145466433 rat: replaced 10.927314648726671 by 185406250/16967229 = 10.927314648726671 rat: replaced -3.4795162719523147 by -35980874/10340769 = -3.4795162719523085 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.9262947722637405 by 33866493/5714615 = 5.9262947722637485 rat: replaced -10.649510447262891 by -66984622/6289925 = -10.649510447262884 rat: replaced 3.0882228377012284 by 49577159/16053621 = 3.0882228377012266 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.9262947722637405 by -33866493/5714615 = -5.9262947722637485 rat: replaced 10.649510447262891 by 66984622/6289925 = 10.649510447262884 rat: replaced -3.0882228377012284 by -49577159/16053621 = -3.0882228377012266 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.443685725125086 by 32844799/6033559 = 5.443685725125088 rat: replaced -11.097534105153386 by -59724021/5381738 = -11.097534105153391 rat: replaced 3.4434900383295353 by 43905259/12750221 = 3.4434900383295317 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.443685725125086 by -32844799/6033559 = -5.443685725125088 rat: replaced 11.097534105153386 by 59724021/5381738 = 11.097534105153391 rat: replaced -3.4434900383295353 by -43905259/12750221 = -3.4434900383295317 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.4616782884001 by 30758479/5631690 = 5.461678288400107 rat: replaced -10.171225956226442 by -95783930/9417147 = -10.171225956226445 rat: replaced 4.4899710922114044 by 30028105/6687817 = 4.4899710922114044 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.4616782884001 by -30758479/5631690 = -5.461678288400107 rat: replaced 10.171225956226442 by 95783930/9417147 = 10.171225956226445 rat: replaced -4.4899710922114044 by -30028105/6687817 = -4.4899710922114044 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.5221087801994 by 89112296/16137367 = 5.522108780199397 rat: replaced -10.544893639357632 by -57354615/5439089 = -10.544893639357621 rat: replaced 3.0206994623679826 by 31896934/10559453 = 3.0206994623679844 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.5221087801994 by -89112296/16137367 = -5.522108780199397 rat: replaced 10.544893639357632 by 57354615/5439089 = 10.544893639357621 rat: replaced -3.0206994623679826 by -31896934/10559453 = -3.0206994623679844 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.394451063719913 by 26744302/4957743 = 5.394451063719923 rat: replaced -10.753619900347466 by -31093522/2891447 = -10.753619900347474 rat: replaced 3.0185177288650324 by 31217779/10342089 = 3.018517728865029 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.394451063719913 by -26744302/4957743 = -5.394451063719923 rat: replaced 10.753619900347466 by 31093522/2891447 = 10.753619900347474 rat: replaced -3.0185177288650324 by -31217779/10342089 = -3.018517728865029 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.018382546770949 by 32305528/5367809 = 6.018382546770945 rat: replaced -11.021935581945066 by -40748173/3697007 = -11.02193558194507 rat: replaced 3.215314071989916 by 67882910/21112373 = 3.215314071989918 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.018382546770949 by -32305528/5367809 = -6.018382546770945 rat: replaced 11.021935581945066 by 40748173/3697007 = 11.02193558194507 rat: replaced -3.215314071989916 by -67882910/21112373 = -3.215314071989918 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.365373391399403 by 50900734/9486895 = 5.365373391399399 rat: replaced -10.133925250455613 by -91381313/9017366 = -10.13392525045562 rat: replaced 2.8329198715857786 by 28182224/9948119 = 2.832919871585774 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.365373391399403 by -50900734/9486895 = -5.365373391399399 rat: replaced 10.133925250455613 by 91381313/9017366 = 10.13392525045562 rat: replaced -2.8329198715857786 by -28182224/9948119 = -2.832919871585774 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.718447114801605 by 67008952/11718033 = 5.718447114801605 rat: replaced -10.905794802158095 by -19178669/1758576 = -10.905794802158109 rat: replaced 2.825048067564203 by 48021492/16998469 = 2.8250480675642025 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.718447114801605 by -67008952/11718033 = -5.718447114801605 rat: replaced 10.905794802158095 by 19178669/1758576 = 10.905794802158109 rat: replaced -2.825048067564203 by -48021492/16998469 = -2.8250480675642025 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.494034487842072 by 20907312/3805457 = 5.494034487842065 rat: replaced -11.095239650123322 by -53008273/4777569 = -11.095239650123316 rat: replaced 3.995239958313539 by 74575201/18666013 = 3.9952399583135403 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.494034487842072 by -20907312/3805457 = -5.494034487842065 rat: replaced 11.095239650123322 by 53008273/4777569 = 11.095239650123316 rat: replaced -3.995239958313539 by -74575201/18666013 = -3.9952399583135403 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.1190917761074735 by 198893071/38853195 = 5.1190917761074735 rat: replaced -10.159497933712565 by -333562295/32832557 = -10.159497933712565 rat: replaced 3.150617493034323 by 38732113/12293499 = 3.1506174930343267 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.1190917761074735 by -198893071/38853195 = -5.1190917761074735 rat: replaced 10.159497933712565 by 333562295/32832557 = 10.159497933712565 rat: replaced -3.150617493034323 by -38732113/12293499 = -3.1506174930343267 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.650912167539498 by 83253561/14732765 = 5.650912167539494 rat: replaced -10.000665561064702 by -51824389/5182094 = -10.000665561064697 rat: replaced 3.4194462520428486 by 38375375/11222687 = 3.4194462520428486 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.650912167539498 by -83253561/14732765 = -5.650912167539494 rat: replaced 10.000665561064702 by 51824389/5182094 = 10.000665561064697 rat: replaced -3.4194462520428486 by -38375375/11222687 = -3.4194462520428486 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.409458519713929 by 18801325/3475639 = 5.409458519713929 rat: replaced -10.510137995401024 by -40742613/3876506 = -10.510137995401013 rat: replaced 3.7357631877424042 by 23408393/6266027 = 3.7357631877424082 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.409458519713929 by -18801325/3475639 = -5.409458519713929 rat: replaced 10.510137995401024 by 40742613/3876506 = 10.510137995401013 rat: replaced -3.7357631877424042 by -23408393/6266027 = -3.7357631877424082 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.733925567264754 by 45156837/7875379 = 5.733925567264762 rat: replaced -10.477347557849939 by -100049732/9549147 = -10.477347557849932 rat: replaced 3.6124842824579533 by 100206380/27738911 = 3.6124842824579524 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.733925567264754 by -45156837/7875379 = -5.733925567264762 rat: replaced 10.477347557849939 by 100049732/9549147 = 10.477347557849932 rat: replaced -3.6124842824579533 by -100206380/27738911 = -3.6124842824579524 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.186507141576204 by 22732077/4382926 = 5.1865071415761985 rat: replaced -10.350646766546282 by -5462057/527702 = -10.350646766546271 rat: replaced 2.903048365678279 by 42528747/14649686 = 2.9030483656782815 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.186507141576204 by -22732077/4382926 = -5.1865071415761985 rat: replaced 10.350646766546282 by 5462057/527702 = 10.350646766546271 rat: replaced -2.903048365678279 by -42528747/14649686 = -2.9030483656782815 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.530664698182516 by 16685313/3016873 = 5.530664698182522 rat: replaced -10.399749939690857 by -113853956/10947759 = -10.399749939690853 rat: replaced 3.460027039431871 by 42962052/12416681 = 3.460027039431874 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.530664698182516 by -16685313/3016873 = -5.530664698182522 rat: replaced 10.399749939690857 by 113853956/10947759 = 10.399749939690853 rat: replaced -3.460027039431871 by -42962052/12416681 = -3.460027039431874 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.89553142026046 by 158274631/32330429 = 4.895531420260461 rat: replaced -10.69918053094886 by -216395345/20225413 = -10.699180530948862 rat: replaced 3.9220146395390465 by 35214585/8978698 = 3.9220146395390514 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.89553142026046 by -158274631/32330429 = -4.895531420260461 rat: replaced 10.69918053094886 by 216395345/20225413 = 10.699180530948862 rat: replaced -3.9220146395390465 by -35214585/8978698 = -3.9220146395390514 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.411206033350081 by 76408648/14120447 = 5.411206033350077 rat: replaced -10.87473554248047 by -81984827/7539018 = -10.874735542480467 rat: replaced 3.3907555693511906 by 31809997/9381389 = 3.390755569351191 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.411206033350081 by -76408648/14120447 = -5.411206033350077 rat: replaced 10.87473554248047 by 81984827/7539018 = 10.874735542480467 rat: replaced -3.3907555693511906 by -31809997/9381389 = -3.390755569351191 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.666126368748679 by 28626126/5052151 = 5.666126368748677 rat: replaced -11.198980722903958 by -54507399/4867175 = -11.198980722903944 rat: replaced 2.854034109039217 by 26233588/9191757 = 2.8540341090392185 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.666126368748679 by -28626126/5052151 = -5.666126368748677 rat: replaced 11.198980722903958 by 54507399/4867175 = 11.198980722903944 rat: replaced -2.854034109039217 by -26233588/9191757 = -2.8540341090392185 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.5504703640506055 by 58281443/10500271 = 5.550470364050604 rat: replaced -10.65248447700993 by -27344917/2566999 = -10.652484477009924 rat: replaced 3.279668591401421 by 35714407/10889639 = 3.279668591401423 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.5504703640506055 by -58281443/10500271 = -5.550470364050604 rat: replaced 10.65248447700993 by 27344917/2566999 = 10.652484477009924 rat: replaced -3.279668591401421 by -35714407/10889639 = -3.279668591401423 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.745886451897285 by 38502551/8112826 = 4.74588645189728 rat: replaced -10.310671613216952 by -56657223/5495008 = -10.310671613216941 rat: replaced 3.656228560134907 by 21311436/5828803 = 3.6562285601349025 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.745886451897285 by -38502551/8112826 = -4.74588645189728 rat: replaced 10.310671613216952 by 56657223/5495008 = 10.310671613216941 rat: replaced -3.656228560134907 by -21311436/5828803 = -3.6562285601349025 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.419707701634615 by 19202523/3543092 = 5.419707701634618 rat: replaced -10.071521948337892 by -96941954/9625353 = -10.071521948337894 rat: replaced 3.1206897332488452 by 69602369/22303521 = 3.1206897332488444 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.419707701634615 by -19202523/3543092 = -5.419707701634618 rat: replaced 10.071521948337892 by 96941954/9625353 = 10.071521948337894 rat: replaced -3.1206897332488452 by -69602369/22303521 = -3.1206897332488444 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.32592869030893 by 123960463/23274901 = 5.325928690308929 rat: replaced -10.381661564708994 by -54570986/5256479 = -10.381661564709 rat: replaced 3.2681740516457807 by 16837819/5152057 = 3.2681740516457793 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.32592869030893 by -123960463/23274901 = -5.325928690308929 rat: replaced 10.381661564708994 by 54570986/5256479 = 10.381661564709 rat: replaced -3.2681740516457807 by -16837819/5152057 = -3.2681740516457793 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.669090361165633 by 79724225/14062966 = 5.669090361165631 rat: replaced -10.83303421773817 by -40568944/3744929 = -10.833034217738174 rat: replaced 3.5932446536880382 by 85823028/23884549 = 3.593244653688039 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.669090361165633 by -79724225/14062966 = -5.669090361165631 rat: replaced 10.83303421773817 by 40568944/3744929 = 10.833034217738174 rat: replaced -3.5932446536880382 by -85823028/23884549 = -3.593244653688039 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.520338422579602 by 35241029/6383853 = 5.520338422579592 rat: replaced -10.660106978958389 by -259956484/24385917 = -10.660106978958389 rat: replaced 3.9836151956766863 by 614511042/154259639 = 3.9836151956766863 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.520338422579602 by -35241029/6383853 = -5.520338422579592 rat: replaced 10.660106978958389 by 259956484/24385917 = 10.660106978958389 rat: replaced -3.9836151956766863 by -614511042/154259639 = -3.9836151956766863 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.972335851203843 by 138006202/27754803 = 4.972335851203844 rat: replaced -10.336952970231245 by -141954119/13732685 = -10.33695297023124 rat: replaced 3.965953654468558 by 32868646/8287703 = 3.9659536544685543 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.972335851203843 by -138006202/27754803 = -4.972335851203844 rat: replaced 10.336952970231245 by 141954119/13732685 = 10.33695297023124 rat: replaced -3.965953654468558 by -32868646/8287703 = -3.9659536544685543 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.527415536486337 by 30929433/5595641 = 5.527415536486347 rat: replaced -10.523194927078894 by -64060349/6087538 = -10.523194927078894 rat: replaced 3.9536039417139546 by 23618229/5973848 = 3.9536039417139506 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.527415536486337 by -30929433/5595641 = -5.527415536486347 rat: replaced 10.523194927078894 by 64060349/6087538 = 10.523194927078894 rat: replaced -3.9536039417139546 by -23618229/5973848 = -3.9536039417139506 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.355206917561015 by 423647747/79109501 = 5.355206917561015 rat: replaced -10.62541701147061 by -78952703/7430551 = -10.625417011470617 rat: replaced 3.3116487142973314 by 37085263/11198429 = 3.311648714297336 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.355206917561015 by -423647747/79109501 = -5.355206917561015 rat: replaced 10.62541701147061 by 78952703/7430551 = 10.625417011470617 rat: replaced -3.3116487142973314 by -37085263/11198429 = -3.311648714297336 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.70047491317069 by 151228241/26529060 = 5.700474913170689 rat: replaced -10.50815130561774 by -81524392/7758205 = -10.50815130561773 rat: replaced 3.8602417308212695 by 11339711/2937565 = 3.8602417308212753 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.70047491317069 by -151228241/26529060 = -5.700474913170689 rat: replaced 10.50815130561774 by 81524392/7758205 = 10.50815130561773 rat: replaced -3.8602417308212695 by -11339711/2937565 = -3.8602417308212753 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.26587204876039 by 44661488/8481309 = 5.265872048760397 rat: replaced -10.491101552079359 by -28881499/2752952 = -10.491101552079368 rat: replaced 3.8047875316169373 by 37643902/9893825 = 3.804787531616943 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.26587204876039 by -44661488/8481309 = -5.265872048760397 rat: replaced 10.491101552079359 by 28881499/2752952 = 10.491101552079368 rat: replaced -3.8047875316169373 by -37643902/9893825 = -3.804787531616943 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.403918157840651 by 238505381/44135639 = 5.403918157840651 rat: replaced -11.054066332200241 by -74287261/6720356 = -11.054066332200259 rat: replaced 3.474688765539388 by 5833582/1678879 = 3.4746887655393865 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.403918157840651 by -238505381/44135639 = -5.403918157840651 rat: replaced 11.054066332200241 by 74287261/6720356 = 11.054066332200259 rat: replaced -3.474688765539388 by -5833582/1678879 = -3.4746887655393865 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.274314234865365 by 146347357/27747182 = 5.274314234865364 rat: replaced -10.50564611218326 by -78700537/7491261 = -10.50564611218325 rat: replaced 3.6235874153517424 by 115335403/31829066 = 3.6235874153517416 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.274314234865365 by -146347357/27747182 = -5.274314234865364 rat: replaced 10.50564611218326 by 78700537/7491261 = 10.50564611218325 rat: replaced -3.6235874153517424 by -115335403/31829066 = -3.6235874153517416 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.677916857455838 by 29710563/5232652 = 5.677916857455837 rat: replaced -10.917152646881636 by -126529559/11589978 = -10.917152646881641 rat: replaced 4.262497901649241 by 30800439/7225913 = 4.262497901649245 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.677916857455838 by -29710563/5232652 = -5.677916857455837 rat: replaced 10.917152646881636 by 126529559/11589978 = 10.917152646881641 rat: replaced -4.262497901649241 by -30800439/7225913 = -4.262497901649245 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.3367857983071305 by 51970490/9738163 = 5.336785798307135 rat: replaced -10.479046235505123 by -58327545/5566112 = -10.479046235505143 rat: replaced 4.121097031823933 by 35636350/8647297 = 4.121097031823933 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.3367857983071305 by -51970490/9738163 = -5.336785798307135 rat: replaced 10.479046235505123 by 58327545/5566112 = 10.479046235505143 rat: replaced -4.121097031823933 by -35636350/8647297 = -4.121097031823933 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.126841751160502 by 48091165/9380271 = 5.1268417511604945 rat: replaced -10.252239995822462 by -107589221/10494216 = -10.25223999582246 rat: replaced 3.8875928210643673 by 48428393/12457167 = 3.887592821064372 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.126841751160502 by -48091165/9380271 = -5.1268417511604945 rat: replaced 10.252239995822462 by 107589221/10494216 = 10.25223999582246 rat: replaced -3.8875928210643673 by -48428393/12457167 = -3.887592821064372 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.4092125068275 by 34869769/6446367 = 5.409212506827489 rat: replaced -10.988468062473649 by -77743928/7075047 = -10.988468062473649 rat: replaced 3.652817410461142 by 38683172/10589955 = 3.65281741046114 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.4092125068275 by -34869769/6446367 = -5.409212506827489 rat: replaced 10.988468062473649 by 77743928/7075047 = 10.988468062473649 rat: replaced -3.652817410461142 by -38683172/10589955 = -3.65281741046114 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.650882439575886 by 75758708/13406527 = 5.650882439575887 rat: replaced -10.655161854203122 by -19798271/1858092 = -10.65516185420313 rat: replaced 3.5201304149797132 by 14352061/4077139 = 3.52013041497972 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.650882439575886 by -75758708/13406527 = -5.650882439575887 rat: replaced 10.655161854203122 by 19798271/1858092 = 10.65516185420313 rat: replaced -3.5201304149797132 by -14352061/4077139 = -3.52013041497972 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.756507394736448 by 99318277/17253218 = 5.756507394736449 rat: replaced -10.862862033517832 by -144970901/13345553 = -10.862862033517832 rat: replaced 3.9708375281075754 by 155327740/39117123 = 3.970837528107576 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.756507394736448 by -99318277/17253218 = -5.756507394736449 rat: replaced 10.862862033517832 by 144970901/13345553 = 10.862862033517832 rat: replaced -3.9708375281075754 by -155327740/39117123 = -3.970837528107576 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.299470930875246 by 60356994/11389249 = 5.299470930875249 rat: replaced -10.630749198564564 by -37482544/3525861 = -10.63074919856455 rat: replaced 3.171409816458262 by 179692169/56660028 = 3.171409816458262 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.299470930875246 by -60356994/11389249 = -5.299470930875249 rat: replaced 10.630749198564564 by 37482544/3525861 = 10.63074919856455 rat: replaced -3.171409816458262 by -179692169/56660028 = -3.171409816458262 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.338036714540288 by 33582000/6291077 = 5.3380367145402925 rat: replaced -11.026648743280472 by -111369439/10100026 = -11.026648743280463 rat: replaced 4.440813814811075 by 62328727/14035429 = 4.440813814811076 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.338036714540288 by -33582000/6291077 = -5.3380367145402925 rat: replaced 11.026648743280472 by 111369439/10100026 = 11.026648743280463 rat: replaced -4.440813814811075 by -62328727/14035429 = -4.440813814811076 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.465780431224449 by 30552133/5589711 = 5.465780431224441 rat: replaced -10.910080795288978 by -262967183/24103138 = -10.910080795288978 rat: replaced 3.9497584430843524 by 93830035/23755892 = 3.9497584430843515 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.465780431224449 by -30552133/5589711 = -5.465780431224441 rat: replaced 10.910080795288978 by 262967183/24103138 = 10.910080795288978 rat: replaced -3.9497584430843524 by -93830035/23755892 = -3.9497584430843515 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.206900662478885 by 53112079/10200325 = 5.206900662478891 rat: replaced -10.967253629308885 by -39837145/3632372 = -10.967253629308892 rat: replaced 3.9680437070794423 by 30053471/7573876 = 3.96804370707944 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.206900662478885 by -53112079/10200325 = -5.206900662478891 rat: replaced 10.967253629308885 by 39837145/3632372 = 10.967253629308892 rat: replaced -3.9680437070794423 by -30053471/7573876 = -3.96804370707944 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.55042186141791 by 18261887/3290180 = 5.550421861417917 rat: replaced -10.878312564365478 by -34467161/3168429 = -10.878312564365494 rat: replaced 3.9650072929954727 by 35673127/8996989 = 3.965007292995468 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.55042186141791 by -18261887/3290180 = -5.550421861417917 rat: replaced 10.878312564365478 by 34467161/3168429 = 10.878312564365494 rat: replaced -3.9650072929954727 by -35673127/8996989 = -3.965007292995468 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.441611492521712 by 29467839/5415278 = 5.441611492521713 rat: replaced -10.939806028742856 by -77140445/7051354 = -10.939806028742849 rat: replaced 3.901351421031452 by 12635459/3238739 = 3.901351421031457 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.441611492521712 by -29467839/5415278 = -5.441611492521713 rat: replaced 10.939806028742856 by 77140445/7051354 = 10.939806028742849 rat: replaced -3.901351421031452 by -12635459/3238739 = -3.901351421031457 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.289981607134561 by 201422276/38076177 = 5.2899816071345604 rat: replaced -10.98940807451536 by -87854669/7994486 = -10.98940807451536 rat: replaced 3.065347065546287 by 36758891/11991755 = 3.0653470655462858 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.289981607134561 by -201422276/38076177 = -5.2899816071345604 rat: replaced 10.98940807451536 by 87854669/7994486 = 10.98940807451536 rat: replaced -3.065347065546287 by -36758891/11991755 = -3.0653470655462858 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.88866762292265 by 49096042/8337377 = 5.888667622922653 rat: replaced -11.11335928077757 by -40157657/3613458 = -11.113359280777582 rat: replaced 3.2027967396392025 by 438070925/136777623 = 3.2027967396392025 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.88866762292265 by -49096042/8337377 = -5.888667622922653 rat: replaced 11.11335928077757 by 40157657/3613458 = 11.113359280777582 rat: replaced -3.2027967396392025 by -438070925/136777623 = -3.2027967396392025 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.439342639126902 by 35444383/6516299 = 5.439342639126903 rat: replaced -11.264229131878327 by -25390789/2254108 = -11.26422913187833 rat: replaced 4.596840215624549 by 8936809/1944120 = 4.59684021562455 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.439342639126902 by -35444383/6516299 = -5.439342639126903 rat: replaced 11.264229131878327 by 25390789/2254108 = 11.26422913187833 rat: replaced -4.596840215624549 by -8936809/1944120 = -4.59684021562455 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.128187333452382 by 43249973/8433774 = 5.128187333452378 rat: replaced -10.94276036483753 by -53233695/4864741 = -10.942760364837511 rat: replaced 3.6281229339703844 by 42799076/11796479 = 3.628122933970382 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.128187333452382 by -43249973/8433774 = -5.128187333452378 rat: replaced 10.94276036483753 by 53233695/4864741 = 10.942760364837511 rat: replaced -3.6281229339703844 by -42799076/11796479 = -3.628122933970382 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.322909591067534 by 65020294/10283287 = 6.322909591067526 rat: replaced -11.109428295037695 by -28997552/2610175 = -11.10942829503769 rat: replaced 3.169762434134312 by 34031942/10736433 = 3.1697624341343165 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.322909591067534 by -65020294/10283287 = -6.322909591067526 rat: replaced 11.109428295037695 by 28997552/2610175 = 11.10942829503769 rat: replaced -3.169762434134312 by -34031942/10736433 = -3.1697624341343165 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.641943354213939 by 6458688/1144763 = 5.641943354213929 rat: replaced -10.98751748508499 by -48480575/4412332 = -10.987517485084984 rat: replaced 4.297129024189504 by 128454108/29893007 = 4.297129024189504 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.641943354213939 by -6458688/1144763 = -5.641943354213929 rat: replaced 10.98751748508499 by 48480575/4412332 = 10.987517485084984 rat: replaced -4.297129024189504 by -128454108/29893007 = -4.297129024189504 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.185481832607241 by 181051093/34914999 = 5.185481832607241 rat: replaced -10.698891291872695 by -26194577/2448345 = -10.698891291872673 rat: replaced 3.7435085698598876 by 30245816/8079537 = 3.743508569859882 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.185481832607241 by -181051093/34914999 = -5.185481832607241 rat: replaced 10.698891291872695 by 26194577/2448345 = 10.698891291872673 rat: replaced -3.7435085698598876 by -30245816/8079537 = -3.743508569859882 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.3305258614830775 by 18353395/3443074 = 5.330525861483082 rat: replaced -10.625789125039299 by -106205708/9995089 = -10.625789125039306 rat: replaced 3.813911152874898 by 36816573/9653233 = 3.813911152874897 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.3305258614830775 by -18353395/3443074 = -5.330525861483082 rat: replaced 10.625789125039299 by 106205708/9995089 = 10.625789125039306 rat: replaced -3.813911152874898 by -36816573/9653233 = -3.813911152874897 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.520196430433034 by 37013309/6705071 = 5.5201964304330255 rat: replaced -10.332880142240608 by -7630491/738467 = -10.332880142240615 rat: replaced 3.282882930155764 by 15265468/4650019 = 3.282882930155769 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.520196430433034 by -37013309/6705071 = -5.5201964304330255 rat: replaced 10.332880142240608 by 7630491/738467 = 10.332880142240615 rat: replaced -3.282882930155764 by -15265468/4650019 = -3.282882930155769 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.018968845788464 by 26769639/5333693 = 5.0189688457884625 rat: replaced -10.853619604609088 by -87585834/8069735 = -10.853619604609074 rat: replaced 3.7593762789977547 by 31349623/8339049 = 3.759376278997761 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.018968845788464 by -26769639/5333693 = -5.0189688457884625 rat: replaced 10.853619604609088 by 87585834/8069735 = 10.853619604609074 rat: replaced -3.7593762789977547 by -31349623/8339049 = -3.759376278997761 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.962290674366811 by 27276347/4574810 = 5.9622906743668045 rat: replaced -11.330273709099261 by -189876987/16758376 = -11.33027370909926 rat: replaced 3.8127918032166153 by 18126241/4754060 = 3.8127918032166193 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.962290674366811 by -27276347/4574810 = -5.9622906743668045 rat: replaced 11.330273709099261 by 189876987/16758376 = 11.33027370909926 rat: replaced -3.8127918032166153 by -18126241/4754060 = -3.8127918032166193 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.781607446141769 by 122747261/21230646 = 5.781607446141771 rat: replaced -11.02181169270106 by -31518116/2859613 = -11.021811692701075 rat: replaced 3.1333655061822574 by 74576001/23800607 = 3.1333655061822583 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.781607446141769 by -122747261/21230646 = -5.781607446141771 rat: replaced 11.02181169270106 by 31518116/2859613 = 11.021811692701075 rat: replaced -3.1333655061822574 by -74576001/23800607 = -3.1333655061822583 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.771453490833895 by 41708713/7226726 = 5.771453490833885 rat: replaced -10.654020990252286 by -130515518/12250353 = -10.654020990252281 rat: replaced 3.7092256488005884 by 58949221/15892595 = 3.7092256488005892 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.771453490833895 by -41708713/7226726 = -5.771453490833885 rat: replaced 10.654020990252286 by 130515518/12250353 = 10.654020990252281 rat: replaced -3.7092256488005884 by -58949221/15892595 = -3.7092256488005892 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.888151361864541 by 34137164/5797603 = 5.88815136186455 rat: replaced -10.84206771679639 by -34089445/3144183 = -10.842067716796382 rat: replaced 4.020434877935297 by 44614207/11096861 = 4.020434877935301 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.888151361864541 by -34137164/5797603 = -5.88815136186455 rat: replaced 10.84206771679639 by 34089445/3144183 = 10.842067716796382 rat: replaced -4.020434877935297 by -44614207/11096861 = -4.020434877935301 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.800349206764705 by 26147574/4507931 = 5.8003492067647 rat: replaced -10.532523371746983 by -11116457/1055441 = -10.532523371746976 rat: replaced 3.495141389359897 by 43063679/12321012 = 3.4951413893599 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.800349206764705 by -26147574/4507931 = -5.8003492067647 rat: replaced 10.532523371746983 by 11116457/1055441 = 10.532523371746976 rat: replaced -3.495141389359897 by -43063679/12321012 = -3.4951413893599 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.41689431183689 by 70705871/13052843 = 5.416894311836892 rat: replaced -10.945464644834251 by -619190747/56570531 = -10.945464644834251 rat: replaced 3.7712524924314867 by 288728143/76560279 = 3.7712524924314867 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.41689431183689 by -70705871/13052843 = -5.416894311836892 rat: replaced 10.945464644834251 by 619190747/56570531 = 10.945464644834251 rat: replaced -3.7712524924314867 by -288728143/76560279 = -3.7712524924314867 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.699210026754216 by 29277617/5137136 = 5.699210026754207 rat: replaced -10.624493984319912 by -104913627/9874694 = -10.624493984319919 rat: replaced 4.4882893788864315 by 129410143/28832843 = 4.4882893788864315 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.699210026754216 by -29277617/5137136 = -5.699210026754207 rat: replaced 10.624493984319912 by 104913627/9874694 = 10.624493984319919 rat: replaced -4.4882893788864315 by -129410143/28832843 = -4.4882893788864315 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.603079650250613 by 45825661/8178656 = 5.603079650250604 rat: replaced -10.60033564257762 by -54510901/5142375 = -10.600335642577603 rat: replaced 4.0731469957582975 by 52121105/12796274 = 4.073146995758297 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.603079650250613 by -45825661/8178656 = -5.603079650250604 rat: replaced 10.60033564257762 by 54510901/5142375 = 10.600335642577603 rat: replaced -4.0731469957582975 by -52121105/12796274 = -4.073146995758297 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.444605122068825 by 130834803/24030173 = 5.444605122068825 rat: replaced -11.458787612525125 by -112544717/9821695 = -11.458787612525128 rat: replaced 3.7752832135923433 by 43615292/11552853 = 3.775283213592348 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.444605122068825 by -130834803/24030173 = -5.444605122068825 rat: replaced 11.458787612525125 by 112544717/9821695 = 11.458787612525128 rat: replaced -3.7752832135923433 by -43615292/11552853 = -3.775283213592348 rat: replaced 5.0 by 5/1 = 5.0 Gen 10 : best = 0.752 mu = [-4.06,10.87,-5.74] rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.524441782818595 by 15700679/2842039 = 5.524441782818603 rat: replaced -10.43392049121147 by -92516467/8866894 = -10.433920491211467 rat: replaced 4.068663039718476 by 50261289/12353269 = 4.068663039718475 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.524441782818595 by -15700679/2842039 = -5.524441782818603 rat: replaced 10.43392049121147 by 92516467/8866894 = 10.433920491211467 rat: replaced -4.068663039718476 by -50261289/12353269 = -4.068663039718475 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.608731428687952 by 55013102/9808475 = 5.608731428687946 rat: replaced -11.106750351627884 by -141326612/12724389 = -11.106750351627886 rat: replaced 3.8255438073936605 by 37667693/9846363 = 3.825543807393654 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.608731428687952 by -55013102/9808475 = -5.608731428687946 rat: replaced 11.106750351627884 by 141326612/12724389 = 11.106750351627886 rat: replaced -3.8255438073936605 by -37667693/9846363 = -3.825543807393654 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.2715823185890045 by 9372146/1494383 = 6.27158231858901 rat: replaced -10.754199080420449 by -120069396/11164885 = -10.754199080420443 rat: replaced 4.177776633301772 by 33989129/8135698 = 4.177776633301777 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.2715823185890045 by -9372146/1494383 = -6.27158231858901 rat: replaced 10.754199080420449 by 120069396/11164885 = 10.754199080420443 rat: replaced -4.177776633301772 by -33989129/8135698 = -4.177776633301777 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.588748287310481 by 38888489/6958354 = 5.588748287310476 rat: replaced -11.133935764329692 by -64901493/5829160 = -11.13393576432968 rat: replaced 4.229247425753524 by 95369927/22550094 = 4.229247425753525 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.588748287310481 by -38888489/6958354 = -5.588748287310476 rat: replaced 11.133935764329692 by 64901493/5829160 = 11.13393576432968 rat: replaced -4.229247425753524 by -95369927/22550094 = -4.229247425753525 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.172329596283451 by 118342421/19173056 = 6.1723295962834515 rat: replaced -11.311340833984307 by -72255601/6387890 = -11.311340833984305 rat: replaced 3.725591441411281 by 81404363/21850051 = 3.725591441411281 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.172329596283451 by -118342421/19173056 = -6.1723295962834515 rat: replaced 11.311340833984307 by 72255601/6387890 = 11.311340833984305 rat: replaced -3.725591441411281 by -81404363/21850051 = -3.725591441411281 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 4.9065533996863975 by 65830805/13416914 = 4.906553399686396 rat: replaced -10.295299194154948 by -123645277/12009877 = -10.295299194154945 rat: replaced 3.9613333576047425 by 58973158/14887199 = 3.9613333576047447 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -4.9065533996863975 by -65830805/13416914 = -4.906553399686396 rat: replaced 10.295299194154948 by 123645277/12009877 = 10.295299194154945 rat: replaced -3.9613333576047425 by -58973158/14887199 = -3.9613333576047447 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.519909790325429 by 18858689/3416485 = 5.519909790325436 rat: replaced -11.057565140559639 by -116562184/10541397 = -11.057565140559642 rat: replaced 4.473479007762218 by 61391901/13723525 = 4.473479007762219 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.519909790325429 by -18858689/3416485 = -5.519909790325436 rat: replaced 11.057565140559639 by 116562184/10541397 = 11.057565140559642 rat: replaced -4.473479007762218 by -61391901/13723525 = -4.473479007762219 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.9480887328100485 by 36659659/6163267 = 5.94808873281005 rat: replaced -10.838289100570524 by -186489585/17206552 = -10.838289100570528 rat: replaced 3.592553936327728 by 253298458/70506515 = 3.592553936327728 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.9480887328100485 by -36659659/6163267 = -5.94808873281005 rat: replaced 10.838289100570524 by 186489585/17206552 = 10.838289100570528 rat: replaced -3.592553936327728 by -253298458/70506515 = -3.592553936327728 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.424035615715807 by 24988288/4606955 = 5.424035615715804 rat: replaced -10.95904377149129 by -27373642/2497813 = -10.9590437714913 rat: replaced 3.863964598569889 by 39066815/10110552 = 3.8639645985698903 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.424035615715807 by -24988288/4606955 = -5.424035615715804 rat: replaced 10.95904377149129 by 27373642/2497813 = 10.9590437714913 rat: replaced -3.863964598569889 by -39066815/10110552 = -3.8639645985698903 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.414866288374494 by 20787715/3839008 = 5.414866288374497 rat: replaced -10.826974470386615 by -83055984/7671209 = -10.826974470386611 rat: replaced 4.125713601752494 by 63698786/15439459 = 4.125713601752497 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.414866288374494 by -20787715/3839008 = -5.414866288374497 rat: replaced 10.826974470386615 by 83055984/7671209 = 10.826974470386611 rat: replaced -4.125713601752494 by -63698786/15439459 = -4.125713601752497 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.739067215265418 by 78650995/13704491 = 5.739067215265419 rat: replaced -10.967270706073087 by -33069732/3015311 = -10.967270706073105 rat: replaced 4.736793774002518 by 29345309/6195184 = 4.736793774002516 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.739067215265418 by -78650995/13704491 = -5.739067215265419 rat: replaced 10.967270706073087 by 33069732/3015311 = 10.967270706073105 rat: replaced -4.736793774002518 by -29345309/6195184 = -4.736793774002516 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.842119992409402 by 21334727/3651881 = 5.842119992409391 rat: replaced -10.81125116012023 by -139040647/12860736 = -10.81125116012023 rat: replaced 4.525239014062029 by 44998393/9943871 = 4.525239014062029 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.842119992409402 by -21334727/3651881 = -5.842119992409391 rat: replaced 10.81125116012023 by 139040647/12860736 = 10.81125116012023 rat: replaced -4.525239014062029 by -44998393/9943871 = -4.525239014062029 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.959433094099994 by 38874568/6523199 = 5.959433094099996 rat: replaced -10.582019223464238 by -65744223/6212824 = -10.582019223464242 rat: replaced 4.1507205885010094 by 18148316/4372329 = 4.150720588501002 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.959433094099994 by -38874568/6523199 = -5.959433094099996 rat: replaced 10.582019223464238 by 65744223/6212824 = 10.582019223464242 rat: replaced -4.1507205885010094 by -18148316/4372329 = -4.150720588501002 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.442566692940176 by 16040338/2947201 = 5.442566692940183 rat: replaced -10.927641285367233 by -49869198/4563583 = -10.927641285367221 rat: replaced 4.173231932851735 by 28458508/6819297 = 4.1732319328517296 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.442566692940176 by -16040338/2947201 = -5.442566692940183 rat: replaced 10.927641285367233 by 49869198/4563583 = 10.927641285367221 rat: replaced -4.173231932851735 by -28458508/6819297 = -4.1732319328517296 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.239172705275028 by 26785370/5112519 = 5.239172705275032 rat: replaced -10.960595179830866 by -53501745/4881281 = -10.960595179830868 rat: replaced 4.241506924050082 by 27280766/6431857 = 4.241506924050084 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.239172705275028 by -26785370/5112519 = -5.239172705275032 rat: replaced 10.960595179830866 by 53501745/4881281 = 10.960595179830868 rat: replaced -4.241506924050082 by -27280766/6431857 = -4.241506924050084 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.279653862364217 by 44607843/8449009 = 5.2796538623642135 rat: replaced -10.384065756171909 by -70335296/6773387 = -10.384065756171912 rat: replaced 3.8298793297295166 by 29526853/7709604 = 3.8298793297295166 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.279653862364217 by -44607843/8449009 = -5.2796538623642135 rat: replaced 10.384065756171909 by 70335296/6773387 = 10.384065756171912 rat: replaced -3.8298793297295166 by -29526853/7709604 = -3.8298793297295166 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.257179260669246 by 36896102/5896603 = 6.257179260669236 rat: replaced -10.359168394764879 by -62797890/6062059 = -10.35916839476488 rat: replaced 3.8239428635890924 by 13626781/3563542 = 3.823942863589092 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.257179260669246 by -36896102/5896603 = -6.257179260669236 rat: replaced 10.359168394764879 by 62797890/6062059 = 10.35916839476488 rat: replaced -3.8239428635890924 by -13626781/3563542 = -3.823942863589092 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.499380129749657 by 37629844/6842561 = 5.499380129749666 rat: replaced -10.534191074981848 by -38847421/3687746 = -10.534191074981845 rat: replaced 3.944021311311413 by 50899358/12905447 = 3.9440213113114178 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.499380129749657 by -37629844/6842561 = -5.499380129749666 rat: replaced 10.534191074981848 by 38847421/3687746 = 10.534191074981845 rat: replaced -3.944021311311413 by -50899358/12905447 = -3.9440213113114178 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.903500202916168 by 179782025/30453463 = 5.903500202916168 rat: replaced -10.780559953287735 by -154294619/14312301 = -10.780559953287735 rat: replaced 4.091231319079385 by 53105639/12980356 = 4.091231319079384 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.903500202916168 by -179782025/30453463 = -5.903500202916168 rat: replaced 10.780559953287735 by 154294619/14312301 = 10.780559953287735 rat: replaced -4.091231319079385 by -53105639/12980356 = -4.091231319079384 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.636175387143958 by 58372048/10356677 = 5.6361753871439655 rat: replaced -11.017529759640484 by -151766825/13775032 = -11.017529759640485 rat: replaced 3.9934149837403887 by 28485077/7133012 = 3.993414983740389 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.636175387143958 by -58372048/10356677 = -5.6361753871439655 rat: replaced 11.017529759640484 by 151766825/13775032 = 11.017529759640485 rat: replaced -3.9934149837403887 by -28485077/7133012 = -3.993414983740389 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.52915901181004 by 39678749/7176272 = 5.529159011810032 rat: replaced -11.584306220308504 by -52085821/4496240 = -11.584306220308525 rat: replaced 4.363345098120244 by 15415083/3532859 = 4.363345098120248 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.52915901181004 by -39678749/7176272 = -5.529159011810032 rat: replaced 11.584306220308504 by 52085821/4496240 = 11.584306220308525 rat: replaced -4.363345098120244 by -15415083/3532859 = -4.363345098120248 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.969292705723268 by 45945443/7696966 = 5.9692927057232685 rat: replaced -11.351480055025105 by -7005827/617173 = -11.35148005502509 rat: replaced 4.263612359073837 by 308200583/72286258 = 4.263612359073837 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.969292705723268 by -45945443/7696966 = -5.9692927057232685 rat: replaced 11.351480055025105 by 7005827/617173 = 11.35148005502509 rat: replaced -4.263612359073837 by -308200583/72286258 = -4.263612359073837 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.512810470220263 by 77372747/14035082 = 5.512810470220266 rat: replaced -11.338450474705969 by -16003089/1411400 = -11.338450474705965 rat: replaced 3.9816986643527366 by 114253358/28694627 = 3.9816986643527374 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.512810470220263 by -77372747/14035082 = -5.512810470220266 rat: replaced 11.338450474705969 by 16003089/1411400 = 11.338450474705965 rat: replaced -3.9816986643527366 by -114253358/28694627 = -3.9816986643527374 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.720911919915997 by 61187264/10695369 = 5.720911919915993 rat: replaced -10.390675511137268 by -46902013/4513856 = -10.390675511137262 rat: replaced 4.001549717012641 by 634314969/158517328 = 4.001549717012641 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.720911919915997 by -61187264/10695369 = -5.720911919915993 rat: replaced 10.390675511137268 by 46902013/4513856 = 10.390675511137262 rat: replaced -4.001549717012641 by -634314969/158517328 = -4.001549717012641 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.71052066699403 by 49668447/8697709 = 5.710520666994032 rat: replaced -10.784334163838365 by -25741138/2386901 = -10.784334163838382 rat: replaced 3.332366097164858 by 38959985/11691388 = 3.3323660971648534 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.71052066699403 by -49668447/8697709 = -5.710520666994032 rat: replaced 10.784334163838365 by 25741138/2386901 = 10.784334163838382 rat: replaced -3.332366097164858 by -38959985/11691388 = -3.3323660971648534 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.471673370409495 by 52456566/9586933 = 5.471673370409494 rat: replaced -10.758613918809985 by -49750940/4624289 = -10.758613918810005 rat: replaced 3.9844904828747967 by 131529788/33010441 = 3.984490482874797 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.471673370409495 by -52456566/9586933 = -5.471673370409494 rat: replaced 10.758613918809985 by 49750940/4624289 = 10.758613918810005 rat: replaced -3.9844904828747967 by -131529788/33010441 = -3.984490482874797 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.294278843647772 by 42149951/7961415 = 5.294278843647769 rat: replaced -10.929293481867367 by -45950892/4204379 = -10.929293481867358 rat: replaced 4.037500934728925 by 31099933/7702768 = 4.037500934728918 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.294278843647772 by -42149951/7961415 = -5.294278843647769 rat: replaced 10.929293481867367 by 45950892/4204379 = 10.929293481867358 rat: replaced -4.037500934728925 by -31099933/7702768 = -4.037500934728918 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.84125862208251 by 114170887/19545597 = 5.841258622082508 rat: replaced -10.730995646725823 by -130196026/12132707 = -10.73099564672583 rat: replaced 3.9742000495066976 by 72280517/18187438 = 3.974200049506698 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.84125862208251 by -114170887/19545597 = -5.841258622082508 rat: replaced 10.730995646725823 by 130196026/12132707 = 10.73099564672583 rat: replaced -3.9742000495066976 by -72280517/18187438 = -3.974200049506698 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.447388057766211 by 40961531/7519481 = 5.447388057766221 rat: replaced -10.951053770657179 by -63573583/5805248 = -10.95105377065717 rat: replaced 3.6196541648676637 by 117771037/32536544 = 3.6196541648676637 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.447388057766211 by -40961531/7519481 = -5.447388057766221 rat: replaced 10.951053770657179 by 63573583/5805248 = 10.95105377065717 rat: replaced -3.6196541648676637 by -117771037/32536544 = -3.6196541648676637 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.1553799054954785 by 63596031/10331780 = 6.155379905495471 rat: replaced -10.932880529233824 by -314731151/28787578 = -10.932880529233824 rat: replaced 3.6978840621676956 by 13051153/3529357 = 3.697884062167698 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.1553799054954785 by -63596031/10331780 = -6.155379905495471 rat: replaced 10.932880529233824 by 314731151/28787578 = 10.932880529233824 rat: replaced -3.6978840621676956 by -13051153/3529357 = -3.697884062167698 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.800443857231103 by 40271165/6942773 = 5.80044385723111 rat: replaced -10.541791087109655 by -50546813/4794898 = -10.541791087109674 rat: replaced 3.8675912730212074 by 109742183/28374814 = 3.8675912730212083 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.800443857231103 by -40271165/6942773 = -5.80044385723111 rat: replaced 10.541791087109655 by 50546813/4794898 = 10.541791087109674 rat: replaced -3.8675912730212074 by -109742183/28374814 = -3.8675912730212083 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.907627770531833 by 43768025/7408731 = 5.907627770531822 rat: replaced -10.909516442239255 by -523154526/47953961 = -10.909516442239255 rat: replaced 4.453697421404554 by 24897812/5590369 = 4.453697421404562 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.907627770531833 by -43768025/7408731 = -5.907627770531822 rat: replaced 10.909516442239255 by 523154526/47953961 = 10.909516442239255 rat: replaced -4.453697421404554 by -24897812/5590369 = -4.453697421404562 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.9509785283056305 by 35528169/5970139 = 5.9509785283056225 rat: replaced -10.945999366300454 by -37137313/3392775 = -10.945999366300446 rat: replaced 4.397579433558476 by 25682031/5840038 = 4.39757943355848 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.9509785283056305 by -35528169/5970139 = -5.9509785283056225 rat: replaced 10.945999366300454 by 37137313/3392775 = 10.945999366300446 rat: replaced -4.397579433558476 by -25682031/5840038 = -4.39757943355848 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.1194135148719795 by 33212407/5427384 = 6.11941351487199 rat: replaced -11.107181526820824 by -79040181/7116133 = -11.107181526820817 rat: replaced 4.462649058907711 by 24237727/5431242 = 4.462649058907704 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.1194135148719795 by -33212407/5427384 = -6.11941351487199 rat: replaced 11.107181526820824 by 79040181/7116133 = 11.107181526820817 rat: replaced -4.462649058907711 by -24237727/5431242 = -4.462649058907704 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.709912587585144 by 58428148/10232757 = 5.709912587585144 rat: replaced -10.802614771202677 by -61184919/5663899 = -10.802614771202665 rat: replaced 3.7688808964069906 by 44229600/11735473 = 3.7688808964069875 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.709912587585144 by -58428148/10232757 = -5.709912587585144 rat: replaced 10.802614771202677 by 61184919/5663899 = 10.802614771202665 rat: replaced -3.7688808964069906 by -44229600/11735473 = -3.7688808964069875 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.66606624701478 by 14123809/2492701 = 5.6660662470147845 rat: replaced -10.56874434400225 by -74428300/7042303 = -10.568744344002239 rat: replaced 4.067694709210848 by 96150573/23637608 = 4.067694709210848 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.66606624701478 by -14123809/2492701 = -5.6660662470147845 rat: replaced 10.56874434400225 by 74428300/7042303 = 10.568744344002239 rat: replaced -4.067694709210848 by -96150573/23637608 = -4.067694709210848 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.68039431183286 by 58000279/8682164 = 6.680394311832856 rat: replaced -10.978975544795643 by -119007868/10839615 = -10.978975544795642 rat: replaced 4.2310467683279676 by 19481876/4604505 = 4.231046768327975 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.68039431183286 by -58000279/8682164 = -6.680394311832856 rat: replaced 10.978975544795643 by 119007868/10839615 = 10.978975544795642 rat: replaced -4.2310467683279676 by -19481876/4604505 = -4.231046768327975 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.638344072338557 by 92702648/16441467 = 5.638344072338557 rat: replaced -10.729531822476295 by -52308635/4875202 = -10.729531822476279 rat: replaced 4.291737938889392 by 69808066/16265687 = 4.291737938889393 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.638344072338557 by -92702648/16441467 = -5.638344072338557 rat: replaced 10.729531822476295 by 52308635/4875202 = 10.729531822476279 rat: replaced -4.291737938889392 by -69808066/16265687 = -4.291737938889393 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.838764075487459 by 130161559/22292656 = 5.838764075487461 rat: replaced -11.386797073601075 by -438173949/38480878 = -11.386797073601075 rat: replaced 4.246850264318166 by 28559431/6724850 = 4.246850264318163 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.838764075487459 by -130161559/22292656 = -5.838764075487461 rat: replaced 11.386797073601075 by 438173949/38480878 = 11.386797073601075 rat: replaced -4.246850264318166 by -28559431/6724850 = -4.246850264318163 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.541450300285428 by 56170113/10136356 = 5.541450300285428 rat: replaced -10.914378710621621 by -57149335/5236151 = -10.9143787106216 rat: replaced 4.2789180998819285 by 75665217/17683259 = 4.278918099881928 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.541450300285428 by -56170113/10136356 = -5.541450300285428 rat: replaced 10.914378710621621 by 57149335/5236151 = 10.9143787106216 rat: replaced -4.2789180998819285 by -75665217/17683259 = -4.278918099881928 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.663948451179267 by 47862613/8450397 = 5.663948451179276 rat: replaced -10.59676386123261 by -58293455/5501062 = -10.596763861232613 rat: replaced 4.376206040880134 by 43420852/9922031 = 4.376206040880138 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.663948451179267 by -47862613/8450397 = -5.663948451179276 rat: replaced 10.59676386123261 by 58293455/5501062 = 10.596763861232613 rat: replaced -4.376206040880134 by -43420852/9922031 = -4.376206040880138 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.902445111670862 by 64658152/10954469 = 5.902445111670862 rat: replaced -11.259789013739784 by -105148729/9338428 = -11.259789013739786 rat: replaced 3.7012523758600855 by 21656172/5851039 = 3.7012523758600824 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.902445111670862 by -64658152/10954469 = -5.902445111670862 rat: replaced 11.259789013739784 by 105148729/9338428 = 11.259789013739786 rat: replaced -3.7012523758600855 by -21656172/5851039 = -3.7012523758600824 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.967869750994087 by 22904332/3837941 = 5.967869750994088 rat: replaced -11.491379885016194 by -115841429/10080724 = -11.491379885016196 rat: replaced 3.8525377903007976 by 54969843/14268476 = 3.8525377903008002 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.967869750994087 by -22904332/3837941 = -5.967869750994088 rat: replaced 11.491379885016194 by 115841429/10080724 = 11.491379885016196 rat: replaced -3.8525377903007976 by -54969843/14268476 = -3.8525377903008002 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.789461833377266 by 630766562/108950811 = 5.789461833377266 rat: replaced -10.97782428070241 by -4621675/421001 = -10.977824280702421 rat: replaced 4.508192868034559 by 63408179/14065099 = 4.508192868034558 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.789461833377266 by -630766562/108950811 = -5.789461833377266 rat: replaced 10.97782428070241 by 4621675/421001 = 10.977824280702421 rat: replaced -4.508192868034559 by -63408179/14065099 = -4.508192868034558 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.081928696838657 by 81525791/13404595 = 6.081928696838658 rat: replaced -11.266377164619731 by -46409103/4119257 = -11.266377164619737 rat: replaced 3.9757095932240936 by 43204879/10867212 = 3.9757095932240945 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.081928696838657 by -81525791/13404595 = -6.081928696838658 rat: replaced 11.266377164619731 by 46409103/4119257 = 11.266377164619737 rat: replaced -3.9757095932240936 by -43204879/10867212 = -3.9757095932240945 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.8101614191936175 by 173970247/29942412 = 5.8101614191936175 rat: replaced -11.113168830160426 by -84442691/7598435 = -11.11316883016042 rat: replaced 4.435494178105728 by 28464398/6417413 = 4.435494178105726 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.8101614191936175 by -173970247/29942412 = -5.8101614191936175 rat: replaced 11.113168830160426 by 84442691/7598435 = 11.11316883016042 rat: replaced -4.435494178105728 by -28464398/6417413 = -4.435494178105726 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.000396192025753 by 94823919/15802943 = 6.000396192025751 rat: replaced -10.93973895177194 by -87406195/7989788 = -10.939738951771936 rat: replaced 3.9147362591018586 by 19140641/4889382 = 3.914736259101866 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.000396192025753 by -94823919/15802943 = -6.000396192025751 rat: replaced 10.93973895177194 by 87406195/7989788 = 10.939738951771936 rat: replaced -3.9147362591018586 by -19140641/4889382 = -3.914736259101866 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.555414223251034 by 43198901/7776000 = 5.555414223251029 rat: replaced -11.44142427162903 by -78151232/6830551 = -11.441424271629039 rat: replaced 3.9214285815845273 by 209608577/53452096 = 3.921428581584528 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.555414223251034 by -43198901/7776000 = -5.555414223251029 rat: replaced 11.44142427162903 by 78151232/6830551 = 11.441424271629039 rat: replaced -3.9214285815845273 by -209608577/53452096 = -3.921428581584528 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.854150327526232 by 31760914/5425367 = 5.85415032752623 rat: replaced -11.279918035621353 by -115798770/10265923 = -11.279918035621346 rat: replaced 4.121482223400253 by 88561697/21487827 = 4.121482223400253 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.854150327526232 by -31760914/5425367 = -5.85415032752623 rat: replaced 11.279918035621353 by 115798770/10265923 = 11.279918035621346 rat: replaced -4.121482223400253 by -88561697/21487827 = -4.121482223400253 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.787268472747152 by 86107043/14878702 = 5.787268472747153 rat: replaced -10.79302079276521 by -38133383/3533152 = -10.793020792765214 rat: replaced 4.434537864735819 by 29633378/6682405 = 4.434537864735825 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.787268472747152 by -86107043/14878702 = -5.787268472747153 rat: replaced 10.79302079276521 by 38133383/3533152 = 10.793020792765214 rat: replaced -4.434537864735819 by -29633378/6682405 = -4.434537864735825 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.300365603055044 by 172125615/32474291 = 5.300365603055044 rat: replaced -11.064717394890476 by -123416743/11154080 = -11.06471739489048 rat: replaced 4.226369430394102 by 185498672/43890785 = 4.226369430394102 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.300365603055044 by -172125615/32474291 = -5.300365603055044 rat: replaced 11.064717394890476 by 123416743/11154080 = 11.06471739489048 rat: replaced -4.226369430394102 by -185498672/43890785 = -4.226369430394102 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.342915103257927 by 89169123/16689227 = 5.342915103257928 rat: replaced -11.210569585984135 by -234170077/20888330 = -11.210569585984135 rat: replaced 4.621827854952624 by 18318000/3963367 = 4.6218278549526195 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.342915103257927 by -89169123/16689227 = -5.342915103257928 rat: replaced 11.210569585984135 by 234170077/20888330 = 11.210569585984135 rat: replaced -4.621827854952624 by -18318000/3963367 = -4.6218278549526195 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.214005075712228 by 42043629/6765947 = 6.214005075712239 rat: replaced -10.721457681033911 by -57722602/5383839 = -10.721457681033923 rat: replaced 4.078966205898351 by 68413547/16772276 = 4.078966205898353 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.214005075712228 by -42043629/6765947 = -6.214005075712239 rat: replaced 10.721457681033911 by 57722602/5383839 = 10.721457681033923 rat: replaced -4.078966205898351 by -68413547/16772276 = -4.078966205898353 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.71905783347345 by 23203859/4057287 = 5.719057833473451 rat: replaced -10.992379341740756 by -16938630/1540943 = -10.992379341740738 rat: replaced 4.529666284517611 by 97152287/21448001 = 4.529666284517611 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.71905783347345 by -23203859/4057287 = -5.719057833473451 rat: replaced 10.992379341740756 by 16938630/1540943 = 10.992379341740738 rat: replaced -4.529666284517611 by -97152287/21448001 = -4.529666284517611 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.55739501637345 by 82275905/14804761 = 5.557395016373449 rat: replaced -11.31788648391856 by -56676931/5007731 = -11.317886483918565 rat: replaced 5.024993438199825 by 26841113/5341522 = 5.024993438199824 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.55739501637345 by -82275905/14804761 = -5.557395016373449 rat: replaced 11.31788648391856 by 56676931/5007731 = 11.317886483918565 rat: replaced -5.024993438199825 by -26841113/5341522 = -5.024993438199824 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.827057018784044 by 37930726/5555941 = 6.8270570187840365 rat: replaced -11.27519807229693 by -81119063/7194469 = -11.275198072296927 rat: replaced 4.021627631182044 by 26250921/6527437 = 4.02162763118204 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.827057018784044 by -37930726/5555941 = -6.8270570187840365 rat: replaced 11.27519807229693 by 81119063/7194469 = 11.275198072296927 rat: replaced -4.021627631182044 by -26250921/6527437 = -4.02162763118204 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.922205109647905 by 14123636/2384861 = 5.9222051096479 rat: replaced -10.700666485849531 by -60441987/5648432 = -10.700666485849524 rat: replaced 4.425516493767743 by 28777129/6502547 = 4.425516493767749 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.922205109647905 by -14123636/2384861 = -5.9222051096479 rat: replaced 10.700666485849531 by 60441987/5648432 = 10.700666485849524 rat: replaced -4.425516493767743 by -28777129/6502547 = -4.425516493767749 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.011325544837838 by 64068359/10657942 = 6.011325544837831 rat: replaced -11.219921193710173 by -129915748/11579025 = -11.219921193710178 rat: replaced 3.5097667682657296 by 53394317/15213067 = 3.5097667682657283 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.011325544837838 by -64068359/10657942 = -6.011325544837831 rat: replaced 11.219921193710173 by 129915748/11579025 = 11.219921193710178 rat: replaced -3.5097667682657296 by -53394317/15213067 = -3.5097667682657283 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.333431922543333 by 33738821/6325912 = 5.333431922543342 rat: replaced -10.999876817195497 by -171093393/15554119 = -10.999876817195496 rat: replaced 4.832485410375189 by 28453273/5887917 = 4.83248541037518 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.333431922543333 by -33738821/6325912 = -5.333431922543342 rat: replaced 10.999876817195497 by 171093393/15554119 = 10.999876817195496 rat: replaced -4.832485410375189 by -28453273/5887917 = -4.83248541037518 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.061905351199393 by 46780057/7717055 = 6.061905351199389 rat: replaced -11.17386721076117 by -24337275/2178053 = -11.17386721076117 rat: replaced 4.162328576361243 by 38647379/9285038 = 4.162328576361238 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.061905351199393 by -46780057/7717055 = -6.061905351199389 rat: replaced 11.17386721076117 by 24337275/2178053 = 11.17386721076117 rat: replaced -4.162328576361243 by -38647379/9285038 = -4.162328576361238 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.551980808418101 by 52367827/7992671 = 6.551980808418112 rat: replaced -11.022258382528184 by -56797477/5152980 = -11.022258382528168 rat: replaced 4.754975716560572 by 59822359/12581002 = 4.754975716560573 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.551980808418101 by -52367827/7992671 = -6.551980808418112 rat: replaced 11.022258382528184 by 56797477/5152980 = 11.022258382528168 rat: replaced -4.754975716560572 by -59822359/12581002 = -4.754975716560573 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.077196701925269 by 148569167/24446990 = 6.077196701925268 rat: replaced -11.076368394597587 by -31159087/2813114 = -11.076368394597589 rat: replaced 4.645362019402414 by 15144865/3260212 = 4.64536201940242 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.077196701925269 by -148569167/24446990 = -6.077196701925268 rat: replaced 11.076368394597587 by 31159087/2813114 = 11.076368394597589 rat: replaced -4.645362019402414 by -15144865/3260212 = -4.64536201940242 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.669147756197413 by 139135501/24542578 = 5.669147756197414 rat: replaced -10.620615549913198 by -58656587/5522899 = -10.62061554991319 rat: replaced 4.487876145387225 by 29093254/6482633 = 4.487876145387221 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.669147756197413 by -139135501/24542578 = -5.669147756197414 rat: replaced 10.620615549913198 by 58656587/5522899 = 10.62061554991319 rat: replaced -4.487876145387225 by -29093254/6482633 = -4.487876145387221 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.54544740300347 by 57242354/10322405 = 5.545447403003466 rat: replaced -11.1613915088997 by -189696722/16995795 = -11.161391508899701 rat: replaced 4.422320138535634 by 83311041/18838763 = 4.422320138535635 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.54544740300347 by -57242354/10322405 = -5.545447403003466 rat: replaced 11.1613915088997 by 189696722/16995795 = 11.161391508899701 rat: replaced -4.422320138535634 by -83311041/18838763 = -4.422320138535635 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.689530139077587 by 130711328/22974011 = 5.689530139077586 rat: replaced -11.133042254352585 by -71663059/6436970 = -11.133042254352592 rat: replaced 3.972799959276154 by 69927163/17601481 = 3.9727999592761543 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.689530139077587 by -130711328/22974011 = -5.689530139077586 rat: replaced 11.133042254352585 by 71663059/6436970 = 11.133042254352592 rat: replaced -3.972799959276154 by -69927163/17601481 = -3.9727999592761543 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.262832769613127 by 52223583/8338652 = 6.262832769613122 rat: replaced -11.197454881126491 by -52257335/4666894 = -11.197454881126506 rat: replaced 4.979202502759966 by 123755494/24854481 = 4.979202502759965 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.262832769613127 by -52223583/8338652 = -6.262832769613122 rat: replaced 11.197454881126491 by 52257335/4666894 = 11.197454881126506 rat: replaced -4.979202502759966 by -123755494/24854481 = -4.979202502759965 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.584461226841544 by 29483755/5279606 = 5.584461226841548 rat: replaced -10.860770423033268 by -187197488/17236115 = -10.860770423033264 rat: replaced 4.118611833652883 by 231149861/56123245 = 4.118611833652883 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.584461226841544 by -29483755/5279606 = -5.584461226841548 rat: replaced 10.860770423033268 by 187197488/17236115 = 10.860770423033264 rat: replaced -4.118611833652883 by -231149861/56123245 = -4.118611833652883 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.054965753963054 by 28885971/4770625 = 6.054965753963055 rat: replaced -10.48156797763965 by -133696980/12755437 = -10.481567977639653 rat: replaced 4.479002188404731 by 25909142/5784579 = 4.479002188404722 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.054965753963054 by -28885971/4770625 = -6.054965753963055 rat: replaced 10.48156797763965 by 133696980/12755437 = 10.481567977639653 rat: replaced -4.479002188404731 by -25909142/5784579 = -4.479002188404722 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.973306797788729 by 42851153/7173774 = 5.973306797788723 rat: replaced -11.264384076502806 by -51159915/4541741 = -11.264384076502822 rat: replaced 4.515357218163704 by 20065078/4443741 = 4.515357218163705 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.973306797788729 by -42851153/7173774 = -5.973306797788723 rat: replaced 11.264384076502806 by 51159915/4541741 = 11.264384076502822 rat: replaced -4.515357218163704 by -20065078/4443741 = -4.515357218163705 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.78235161389883 by 82902587/14337175 = 5.782351613898833 rat: replaced -11.144278080751414 by -52049986/4670557 = -11.144278080751397 rat: replaced 4.570705193469211 by 103614413/22669240 = 4.5707051934692124 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.78235161389883 by -82902587/14337175 = -5.782351613898833 rat: replaced 11.144278080751414 by 52049986/4670557 = 11.144278080751397 rat: replaced -4.570705193469211 by -103614413/22669240 = -4.5707051934692124 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.5618189510002 by 30435191/5472165 = 5.561818951000198 rat: replaced -11.891464249954021 by -38645047/3249814 = -11.891464249953998 rat: replaced 4.174602544518465 by 44064583/10555396 = 4.1746025445184625 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.5618189510002 by -30435191/5472165 = -5.561818951000198 rat: replaced 11.891464249954021 by 38645047/3249814 = 11.891464249953998 rat: replaced -4.174602544518465 by -44064583/10555396 = -4.1746025445184625 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.79672221417205 by 88049086/15189461 = 5.79672221417205 rat: replaced -11.326460590989635 by -80756588/7129905 = -11.326460590989642 rat: replaced 4.101717604545745 by 40864949/9962887 = 4.101717604545751 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.79672221417205 by -88049086/15189461 = -5.79672221417205 rat: replaced 11.326460590989635 by 80756588/7129905 = 11.326460590989642 rat: replaced -4.101717604545745 by -40864949/9962887 = -4.101717604545751 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.655940605346246 by 60778076/10745883 = 5.655940605346252 rat: replaced -10.510490060188145 by -118065491/11233110 = -10.51049006018814 rat: replaced 4.579879302272094 by 154264015/33682987 = 4.579879302272094 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.655940605346246 by -60778076/10745883 = -5.655940605346252 rat: replaced 10.510490060188145 by 118065491/11233110 = 10.51049006018814 rat: replaced -4.579879302272094 by -154264015/33682987 = -4.579879302272094 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.012987370969361 by 47554811/7908683 = 6.012987370969351 rat: replaced -11.596482103750438 by -35118137/3028344 = -11.596482103750432 rat: replaced 4.345169216109285 by 112010854/25778249 = 4.345169216109286 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.012987370969361 by -47554811/7908683 = -6.012987370969351 rat: replaced 11.596482103750438 by 35118137/3028344 = 11.596482103750432 rat: replaced -4.345169216109285 by -112010854/25778249 = -4.345169216109286 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.455094401000373 by 231532688/35868211 = 6.455094401000373 rat: replaced -10.920953691343428 by -42615123/3902143 = -10.920953691343449 rat: replaced 4.555656205298076 by 36793361/8076413 = 4.55565620529807 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.455094401000373 by -231532688/35868211 = -6.455094401000373 rat: replaced 10.920953691343428 by 42615123/3902143 = 10.920953691343449 rat: replaced -4.555656205298076 by -36793361/8076413 = -4.55565620529807 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.806333603163206 by 38898272/6699283 = 5.806333603163204 rat: replaced -11.041622713528955 by -17229061/1560374 = -11.041622713528936 rat: replaced 4.810654599371921 by 52631669/10940646 = 4.8106545993719205 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.806333603163206 by -38898272/6699283 = -5.806333603163204 rat: replaced 11.041622713528955 by 17229061/1560374 = 11.041622713528936 rat: replaced -4.810654599371921 by -52631669/10940646 = -4.8106545993719205 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.216569647364169 by 71411184/11487233 = 6.216569647364165 rat: replaced -11.147002670518003 by -96137815/8624544 = -11.147002670518 rat: replaced 4.708832046236974 by 40635483/8629631 = 4.708832046236971 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.216569647364169 by -71411184/11487233 = -6.216569647364165 rat: replaced 11.147002670518003 by 96137815/8624544 = 11.147002670518 rat: replaced -4.708832046236974 by -40635483/8629631 = -4.708832046236971 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.137867892015947 by 102945198/16772143 = 6.1378678920159455 rat: replaced -10.930729967208347 by -79307955/7255504 = -10.930729967208343 rat: replaced 4.3701679821229495 by 79335055/18153777 = 4.370167982122949 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.137867892015947 by -102945198/16772143 = -6.1378678920159455 rat: replaced 10.930729967208347 by 79307955/7255504 = 10.930729967208343 rat: replaced -4.3701679821229495 by -79335055/18153777 = -4.370167982122949 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.070879487078006 by 19174114/3158375 = 6.070879487078007 rat: replaced -10.773876699188122 by -57560783/5342625 = -10.773876699188133 rat: replaced 4.014549706210912 by 31585349/7867719 = 4.014549706210911 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.070879487078006 by -19174114/3158375 = -6.070879487078007 rat: replaced 10.773876699188122 by 57560783/5342625 = 10.773876699188133 rat: replaced -4.014549706210912 by -31585349/7867719 = -4.014549706210911 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.333438722693816 by 59114056/9333643 = 6.333438722693808 rat: replaced -11.445892510209466 by -53900047/4709117 = -11.44589251020945 rat: replaced 4.839884525164523 by 54109546/11179925 = 4.839884525164525 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.333438722693816 by -59114056/9333643 = -6.333438722693808 rat: replaced 11.445892510209466 by 53900047/4709117 = 11.44589251020945 rat: replaced -4.839884525164523 by -54109546/11179925 = -4.839884525164525 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.206873487036307 by 55426803/8929907 = 6.206873487036315 rat: replaced -11.314357543155726 by -273708203/24191228 = -11.314357543155726 rat: replaced 4.447832472676159 by 131886061/29651760 = 4.447832472676158 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.206873487036307 by -55426803/8929907 = -6.206873487036315 rat: replaced 11.314357543155726 by 273708203/24191228 = 11.314357543155726 rat: replaced -4.447832472676159 by -131886061/29651760 = -4.447832472676158 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.878655296588278 by 144970673/24660516 = 5.8786552965882795 rat: replaced -11.327922813801896 by -25039773/2210447 = -11.327922813801914 rat: replaced 4.498843941579877 by 176549298/39243259 = 4.498843941579877 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.878655296588278 by -144970673/24660516 = -5.8786552965882795 rat: replaced 11.327922813801896 by 25039773/2210447 = 11.327922813801914 rat: replaced -4.498843941579877 by -176549298/39243259 = -4.498843941579877 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.974146883868901 by 66901687/11198534 = 5.974146883868906 rat: replaced -11.022570244659931 by -200112911/18154832 = -11.022570244659933 rat: replaced 5.103291576169214 by 48050297/9415550 = 5.10329157616921 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.974146883868901 by -66901687/11198534 = -5.974146883868906 rat: replaced 11.022570244659931 by 200112911/18154832 = 11.022570244659933 rat: replaced -5.103291576169214 by -48050297/9415550 = -5.10329157616921 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.10360755545774 by 97977849/16052449 = 6.103607555457737 rat: replaced -11.31005908298393 by -122497757/10830868 = -11.310059082983932 rat: replaced 4.82620097762905 by 134252865/27817504 = 4.82620097762905 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.10360755545774 by -97977849/16052449 = -6.103607555457737 rat: replaced 11.31005908298393 by 122497757/10830868 = 11.310059082983932 rat: replaced -4.82620097762905 by -134252865/27817504 = -4.82620097762905 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.328287125343316 by 607028191/95922985 = 6.328287125343316 rat: replaced -11.157571162117945 by -36640069/3283875 = -11.157571162117925 rat: replaced 4.525147630233111 by 50592499/11180298 = 4.5251476302331115 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.328287125343316 by -607028191/95922985 = -6.328287125343316 rat: replaced 11.157571162117945 by 36640069/3283875 = 11.157571162117925 rat: replaced -4.525147630233111 by -50592499/11180298 = -4.5251476302331115 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.949707757725647 by 52486055/8821619 = 5.949707757725651 rat: replaced -11.153631235424095 by -139120012/12473069 = -11.153631235424097 rat: replaced 4.898733532112771 by 41909699/8555211 = 4.898733532112767 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.949707757725647 by -52486055/8821619 = -5.949707757725651 rat: replaced 11.153631235424095 by 139120012/12473069 = 11.153631235424097 rat: replaced -4.898733532112771 by -41909699/8555211 = -4.898733532112767 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.312012493781265 by 90449176/14329689 = 6.312012493781268 rat: replaced -10.944886087714147 by -59657608/5450729 = -10.944886087714139 rat: replaced 4.262134878489758 by 47055090/11040263 = 4.262134878489761 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.312012493781265 by -90449176/14329689 = -6.312012493781268 rat: replaced 10.944886087714147 by 59657608/5450729 = 10.944886087714139 rat: replaced -4.262134878489758 by -47055090/11040263 = -4.262134878489761 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.870000425875411 by 23845239/4062221 = 5.870000425875402 rat: replaced -11.511986437891021 by -47215572/4101427 = -11.511986437891007 rat: replaced 3.8537823496459556 by 13456221/3491692 = 3.8537823496459596 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.870000425875411 by -23845239/4062221 = -5.870000425875402 rat: replaced 11.511986437891021 by 47215572/4101427 = 11.511986437891007 rat: replaced -3.8537823496459556 by -13456221/3491692 = -3.8537823496459596 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.453166691627203 by 117676405/18235451 = 6.453166691627205 rat: replaced -10.620878433503446 by -189830805/17873362 = -10.620878433503444 rat: replaced 4.4786546484237295 by 165858667/37033145 = 4.4786546484237295 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.453166691627203 by -117676405/18235451 = -6.453166691627205 rat: replaced 10.620878433503446 by 189830805/17873362 = 10.620878433503444 rat: replaced -4.4786546484237295 by -165858667/37033145 = -4.4786546484237295 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.699972520332155 by 45944657/8060505 = 5.699972520332163 rat: replaced -10.913756625265554 by -7526072/689595 = -10.913756625265554 rat: replaced 4.44212777354113 by 16304177/3670353 = 4.442127773541128 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.699972520332155 by -45944657/8060505 = -5.699972520332163 rat: replaced 10.913756625265554 by 7526072/689595 = 10.913756625265554 rat: replaced -4.44212777354113 by -16304177/3670353 = -4.442127773541128 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.1211969162867685 by 80747763/13191499 = 6.121196916286769 rat: replaced -10.914099129301936 by -57085115/5230401 = -10.91409912930194 rat: replaced 4.481635110001586 by 26542103/5922415 = 4.481635110001578 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.1211969162867685 by -80747763/13191499 = -6.121196916286769 rat: replaced 10.914099129301936 by 57085115/5230401 = 10.91409912930194 rat: replaced -4.481635110001586 by -26542103/5922415 = -4.481635110001578 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.2375133091635675 by 47844640/7670467 = 6.237513309163575 rat: replaced -11.380742919559365 by -173020729/15202938 = -11.380742919559363 rat: replaced 4.661662604855308 by 78227831/16781101 = 4.661662604855307 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.2375133091635675 by -47844640/7670467 = -6.237513309163575 rat: replaced 11.380742919559365 by 173020729/15202938 = 11.380742919559363 rat: replaced -4.661662604855308 by -78227831/16781101 = -4.661662604855307 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.172314179075281 by 243751137/39491045 = 6.172314179075282 rat: replaced -11.391737454818916 by -136455517/11978464 = -11.391737454818916 rat: replaced 4.6517969557863745 by 93704821/20143790 = 4.651796955786374 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.172314179075281 by -243751137/39491045 = -6.172314179075282 rat: replaced 11.391737454818916 by 136455517/11978464 = 11.391737454818916 rat: replaced -4.6517969557863745 by -93704821/20143790 = -4.651796955786374 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.620347844002151 by 50577055/8998919 = 5.6203478440021515 rat: replaced -11.568323957819675 by -71341287/6166951 = -11.568323957819674 rat: replaced 4.507569980146007 by 6974545/1547296 = 4.50756998014601 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.620347844002151 by -50577055/8998919 = -5.6203478440021515 rat: replaced 11.568323957819675 by 71341287/6166951 = 11.568323957819674 rat: replaced -4.507569980146007 by -6974545/1547296 = -4.50756998014601 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.4530618396525465 by 23192221/4253064 = 5.453061839652542 rat: replaced -11.548803009748605 by -54892477/4753088 = -11.54880300974861 rat: replaced 4.146428072449865 by 21902337/5282218 = 4.1464280724498686 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.4530618396525465 by -23192221/4253064 = -5.453061839652542 rat: replaced 11.548803009748605 by 54892477/4753088 = 11.54880300974861 rat: replaced -4.146428072449865 by -21902337/5282218 = -4.1464280724498686 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.649408167563021 by 55182758/9767883 = 5.649408167563022 rat: replaced -10.90632356696503 by -196334339/18001881 = -10.90632356696503 rat: replaced 4.897155041037278 by 52070333/10632772 = 4.897155041037276 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.649408167563021 by -55182758/9767883 = -5.649408167563022 rat: replaced 10.90632356696503 by 196334339/18001881 = 10.90632356696503 rat: replaced -4.897155041037278 by -52070333/10632772 = -4.897155041037276 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.957138854745287 by 82797153/13898812 = 5.957138854745283 rat: replaced -11.49073363671692 by -18331627/1595340 = -11.490733636716937 rat: replaced 4.346840602610248 by 40153275/9237347 = 4.346840602610252 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.957138854745287 by -82797153/13898812 = -5.957138854745283 rat: replaced 11.49073363671692 by 18331627/1595340 = 11.490733636716937 rat: replaced -4.346840602610248 by -40153275/9237347 = -4.346840602610252 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.734288405755359 by 116869345/20380793 = 5.73428840575536 rat: replaced -11.572074684485989 by -80312316/6940183 = -11.572074684485985 rat: replaced 4.577231674083451 by 61754632/13491699 = 4.57723167408345 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.734288405755359 by -116869345/20380793 = -5.73428840575536 rat: replaced 11.572074684485989 by 80312316/6940183 = 11.572074684485985 rat: replaced -4.577231674083451 by -61754632/13491699 = -4.57723167408345 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.280943291518887 by 51961107/8272819 = 6.280943291518889 rat: replaced -11.113792398514668 by -67248991/6050949 = -11.11379239851468 rat: replaced 4.525324149641607 by 29240830/6461599 = 4.525324149641598 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.280943291518887 by -51961107/8272819 = -6.280943291518889 rat: replaced 11.113792398514668 by 67248991/6050949 = 11.11379239851468 rat: replaced -4.525324149641607 by -29240830/6461599 = -4.525324149641598 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.036092935578684 by 24028352/3980779 = 6.036092935578689 rat: replaced -11.313678858391855 by -235181719/20787378 = -11.313678858391857 rat: replaced 3.881735287912647 by 50782569/13082440 = 3.8817352879126523 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.036092935578684 by -24028352/3980779 = -6.036092935578689 rat: replaced 11.313678858391855 by 235181719/20787378 = 11.313678858391857 rat: replaced -3.881735287912647 by -50782569/13082440 = -3.8817352879126523 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.788547744185671 by 14405843/2488680 = 5.7885477441856725 rat: replaced -11.323577023494227 by -66180159/5844457 = -11.323577023494227 rat: replaced 5.399815726184958 by 10900797/2018735 = 5.399815726184962 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.788547744185671 by -14405843/2488680 = -5.7885477441856725 rat: replaced 11.323577023494227 by 66180159/5844457 = 11.323577023494227 rat: replaced -5.399815726184958 by -10900797/2018735 = -5.399815726184962 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.619165097728849 by 106194730/18898667 = 5.6191650977288505 rat: replaced -11.074745558180295 by -103393005/9335926 = -11.074745558180302 rat: replaced 4.5811259532736175 by 20796571/4539620 = 4.581125953273622 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.619165097728849 by -106194730/18898667 = -5.6191650977288505 rat: replaced 11.074745558180295 by 103393005/9335926 = 11.074745558180302 rat: replaced -4.5811259532736175 by -20796571/4539620 = -4.581125953273622 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.832891535938277 by 51188832/8775893 = 5.83289153593828 rat: replaced -11.129838005265272 by -83766433/7526294 = -11.129838005265274 rat: replaced 4.502542540769087 by 46660114/10363059 = 4.502542540769092 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.832891535938277 by -51188832/8775893 = -5.83289153593828 rat: replaced 11.129838005265272 by 83766433/7526294 = 11.129838005265274 rat: replaced -4.502542540769087 by -46660114/10363059 = -4.502542540769092 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.8844881324741305 by 36401932/6186083 = 5.884488132474136 rat: replaced -11.365481906699813 by -66377949/5840311 = -11.36548190669983 rat: replaced 4.35725273425256 by 24382585/5595862 = 4.35725273425256 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.8844881324741305 by -36401932/6186083 = -5.884488132474136 rat: replaced 11.365481906699813 by 66377949/5840311 = 11.36548190669983 rat: replaced -4.35725273425256 by -24382585/5595862 = -4.35725273425256 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.710801039732436 by 16244819/2844578 = 5.710801039732432 rat: replaced -11.7681455693847 by -46162175/3922638 = -11.768145569384684 rat: replaced 4.4613348028949575 by 32633116/7314653 = 4.461334802894956 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.710801039732436 by -16244819/2844578 = -5.710801039732432 rat: replaced 11.7681455693847 by 46162175/3922638 = 11.768145569384684 rat: replaced -4.4613348028949575 by -32633116/7314653 = -4.461334802894956 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.247286533385749 by 95053283/15215131 = 6.247286533385746 rat: replaced -11.14093623070123 by -45018997/4040863 = -11.140936230701215 rat: replaced 4.545305658858035 by 32671198/7187899 = 4.545305658858034 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.247286533385749 by -95053283/15215131 = -6.247286533385746 rat: replaced 11.14093623070123 by 45018997/4040863 = 11.140936230701215 rat: replaced -4.545305658858035 by -32671198/7187899 = -4.545305658858034 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.508983590307803 by 52865413/9596219 = 5.508983590307808 rat: replaced -10.607095047109366 by -55623267/5243968 = -10.607095047109365 rat: replaced 4.710892310374363 by 29400156/6240889 = 4.710892310374371 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.508983590307803 by -52865413/9596219 = -5.508983590307808 rat: replaced 10.607095047109366 by 55623267/5243968 = 10.607095047109365 rat: replaced -4.710892310374363 by -29400156/6240889 = -4.710892310374371 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.108012652202044 by 202061341/33081356 = 6.108012652202044 rat: replaced -11.433896838628177 by -141323125/12360014 = -11.433896838628176 rat: replaced 4.285927820973827 by 41131805/9596943 = 4.285927820973825 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.108012652202044 by -202061341/33081356 = -6.108012652202044 rat: replaced 11.433896838628177 by 141323125/12360014 = 11.433896838628176 rat: replaced -4.285927820973827 by -41131805/9596943 = -4.285927820973825 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.015035477204738 by 390815676/64973129 = 6.015035477204738 rat: replaced -11.574770472969893 by -198693216/17166061 = -11.574770472969892 rat: replaced 4.590032357452401 by 45923797/10005114 = 4.590032357452399 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.015035477204738 by -390815676/64973129 = -6.015035477204738 rat: replaced 11.574770472969893 by 198693216/17166061 = 11.574770472969892 rat: replaced -4.590032357452401 by -45923797/10005114 = -4.590032357452399 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.403575703440199 by 44612412/6966797 = 6.40357570344019 rat: replaced -11.358679981424011 by -38400403/3380710 = -11.35867998142402 rat: replaced 5.464890482867365 by 55839699/10217899 = 5.464890482867368 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.403575703440199 by -44612412/6966797 = -6.40357570344019 rat: replaced 11.358679981424011 by 38400403/3380710 = 11.35867998142402 rat: replaced -5.464890482867365 by -55839699/10217899 = -5.464890482867368 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.068954438884285 by 35154983/5792593 = 6.068954438884279 rat: replaced -10.982537254323171 by -86466021/7873046 = -10.982537254323168 rat: replaced 4.510987854822526 by 13612993/3017741 = 4.510987854822531 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.068954438884285 by -35154983/5792593 = -6.068954438884279 rat: replaced 10.982537254323171 by 86466021/7873046 = 10.982537254323168 rat: replaced -4.510987854822526 by -13612993/3017741 = -4.510987854822531 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.898410078731974 by 62643846/10620463 = 5.898410078731972 rat: replaced -11.165966605155514 by -101407310/9081821 = -11.165966605155507 rat: replaced 4.722229638948991 by 8843055/1872644 = 4.722229638948994 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.898410078731974 by -62643846/10620463 = -5.898410078731972 rat: replaced 11.165966605155514 by 101407310/9081821 = 11.165966605155507 rat: replaced -4.722229638948991 by -8843055/1872644 = -4.722229638948994 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.474612320097927 by 122056193/18851506 = 6.474612320097927 rat: replaced -11.213391717274613 by -177934795/15868062 = -11.213391717274611 rat: replaced 4.1777867768231145 by 106838888/25573083 = 4.177786776823115 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.474612320097927 by -122056193/18851506 = -6.474612320097927 rat: replaced 11.213391717274613 by 177934795/15868062 = 11.213391717274611 rat: replaced -4.1777867768231145 by -106838888/25573083 = -4.177786776823115 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.200989319397617 by 142249523/22939811 = 6.200989319397618 rat: replaced -11.110995924094672 by -68240437/6141703 = -11.110995924094668 rat: replaced 4.65164538075259 by 43235025/9294566 = 4.651645380752582 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.200989319397617 by -142249523/22939811 = -6.200989319397618 rat: replaced 11.110995924094672 by 68240437/6141703 = 11.110995924094668 rat: replaced -4.65164538075259 by -43235025/9294566 = -4.651645380752582 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.8652140382187 by 13316728/2270459 = 5.865214038218704 rat: replaced -10.848451177211073 by -57437179/5294505 = -10.84845117721109 rat: replaced 4.435697038480067 by 31681283/7142346 = 4.435697038480074 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.8652140382187 by -13316728/2270459 = -5.865214038218704 rat: replaced 10.848451177211073 by 57437179/5294505 = 10.84845117721109 rat: replaced -4.435697038480067 by -31681283/7142346 = -4.435697038480074 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.033654849449527 by 39523619/6550527 = 6.033654849449517 rat: replaced -11.02941051247815 by -27200655/2466193 = -11.029410512478139 rat: replaced 4.353082106223396 by 55182877/12676737 = 4.3530821062233915 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.033654849449527 by -39523619/6550527 = -6.033654849449517 rat: replaced 11.02941051247815 by 27200655/2466193 = 11.029410512478139 rat: replaced -4.353082106223396 by -55182877/12676737 = -4.3530821062233915 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.943287044456709 by 153899219/25894630 = 5.943287044456707 rat: replaced -11.365854590488714 by -88939733/7825169 = -11.365854590488716 rat: replaced 4.264674280494312 by 33594639/7877422 = 4.264674280494304 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.943287044456709 by -153899219/25894630 = -5.943287044456707 rat: replaced 11.365854590488714 by 88939733/7825169 = 11.365854590488716 rat: replaced -4.264674280494312 by -33594639/7877422 = -4.264674280494304 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.062860087652953 by 180766053/29815310 = 6.062860087652954 rat: replaced -11.54803839776409 by -145077071/12562919 = -11.548038397764087 rat: replaced 4.701631320100206 by 26570677/5651374 = 4.701631320100209 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.062860087652953 by -180766053/29815310 = -6.062860087652954 rat: replaced 11.54803839776409 by 145077071/12562919 = 11.548038397764087 rat: replaced -4.701631320100206 by -26570677/5651374 = -4.701631320100209 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.940344575679041 by 22865907/3849256 = 5.94034457567904 rat: replaced -10.92916759091146 by -31927421/2921304 = -10.929167590911456 rat: replaced 4.678679968401964 by 49970225/10680411 = 4.678679968401965 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.940344575679041 by -22865907/3849256 = -5.94034457567904 rat: replaced 10.92916759091146 by 31927421/2921304 = 10.929167590911456 rat: replaced -4.678679968401964 by -49970225/10680411 = -4.678679968401965 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.3746611837320195 by 38256949/6001409 = 6.37466118373202 rat: replaced -11.207543327183902 by -8474752/756165 = -11.207543327183881 rat: replaced 3.6789934959446278 by 76103722/20686017 = 3.6789934959446278 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.3746611837320195 by -38256949/6001409 = -6.37466118373202 rat: replaced 11.207543327183902 by 8474752/756165 = 11.207543327183881 rat: replaced -3.6789934959446278 by -76103722/20686017 = -3.6789934959446278 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.668243542603367 by 21173412/3735445 = 5.668243542603358 rat: replaced -11.360217714957795 by -417979285/36793246 = -11.360217714957795 rat: replaced 4.723696747911336 by 684133/144830 = 4.723696747911345 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.668243542603367 by -21173412/3735445 = -5.668243542603358 rat: replaced 11.360217714957795 by 417979285/36793246 = 11.360217714957795 rat: replaced -4.723696747911336 by -684133/144830 = -4.723696747911345 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.168422063153555 by 47869731/7760450 = 6.168422063153554 rat: replaced -11.189934743467765 by -95555049/8539375 = -11.18993474346776 rat: replaced 4.798045667392642 by 28465687/5932767 = 4.798045667392635 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.168422063153555 by -47869731/7760450 = -6.168422063153554 rat: replaced 11.189934743467765 by 95555049/8539375 = 11.18993474346776 rat: replaced -4.798045667392642 by -28465687/5932767 = -4.798045667392635 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.210414476620808 by 18769096/3022197 = 6.210414476620816 rat: replaced -11.613253393973626 by -57407180/4943247 = -11.613253393973638 rat: replaced 4.594664315486861 by 47208145/10274558 = 4.594664315486856 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.210414476620808 by -18769096/3022197 = -6.210414476620816 rat: replaced 11.613253393973626 by 57407180/4943247 = 11.613253393973638 rat: replaced -4.594664315486861 by -47208145/10274558 = -4.594664315486856 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.064252805888834 by 35751008/5895369 = 6.064252805888826 rat: replaced -11.497407161258058 by -85650590/7449557 = -11.497407161258046 rat: replaced 4.468893337355495 by 31495071/7047622 = 4.468893337355494 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.064252805888834 by -35751008/5895369 = -6.064252805888826 rat: replaced 11.497407161258058 by 85650590/7449557 = 11.497407161258046 rat: replaced -4.468893337355495 by -31495071/7047622 = -4.468893337355494 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.522716643790398 by 34104167/6175252 = 5.522716643790408 rat: replaced -11.199493666563832 by -45918652/4100065 = -11.199493666563823 rat: replaced 4.434628908542418 by 20667149/4660401 = 4.434628908542419 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.522716643790398 by -34104167/6175252 = -5.522716643790408 rat: replaced 11.199493666563832 by 45918652/4100065 = 11.199493666563823 rat: replaced -4.434628908542418 by -20667149/4660401 = -4.434628908542419 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.619351794256564 by 31925819/5681406 = 5.619351794256563 rat: replaced -11.726349725249912 by -14276479/1217470 = -11.726349725249904 rat: replaced 4.3361440759251435 by 55966733/12907028 = 4.336144075925147 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.619351794256564 by -31925819/5681406 = -5.619351794256563 rat: replaced 11.726349725249912 by 14276479/1217470 = 11.726349725249904 rat: replaced -4.3361440759251435 by -55966733/12907028 = -4.336144075925147 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.025796705007393 by 62997240/10454591 = 6.025796705007398 rat: replaced -11.302630378593225 by -295615347/26154562 = -11.302630378593227 rat: replaced 4.58134713164952 by 43879167/9577787 = 4.581347131649514 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.025796705007393 by -62997240/10454591 = -6.025796705007398 rat: replaced 11.302630378593225 by 295615347/26154562 = 11.302630378593227 rat: replaced -4.58134713164952 by -43879167/9577787 = -4.581347131649514 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.6179906271859315 by 169544047/30178770 = 5.617990627185932 rat: replaced -11.920734747602184 by -27948556/2344533 = -11.920734747602188 rat: replaced 4.690648138596701 by 30375005/6475652 = 4.690648138596701 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.6179906271859315 by -169544047/30178770 = -5.617990627185932 rat: replaced 11.920734747602184 by 27948556/2344533 = 11.920734747602188 rat: replaced -4.690648138596701 by -30375005/6475652 = -4.690648138596701 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.75518402873202 by 137845907/20405944 = 6.75518402873202 rat: replaced -10.946026031857441 by -51708819/4723981 = -10.946026031857452 rat: replaced 4.783948422593044 by 6149139/1285369 = 4.7839484225930455 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.75518402873202 by -137845907/20405944 = -6.75518402873202 rat: replaced 10.946026031857441 by 51708819/4723981 = 10.946026031857452 rat: replaced -4.783948422593044 by -6149139/1285369 = -4.7839484225930455 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.302012521714559 by 90635897/14382056 = 6.302012521714559 rat: replaced -11.07763666610257 by -61335844/5536907 = -11.077636666102574 rat: replaced 4.76005064079136 by 80073629/16822012 = 4.760050640791363 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.302012521714559 by -90635897/14382056 = -6.302012521714559 rat: replaced 11.07763666610257 by 61335844/5536907 = 11.077636666102574 rat: replaced -4.76005064079136 by -80073629/16822012 = -4.760050640791363 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.069306052430736 by 40984555/6752758 = 6.069306052430726 rat: replaced -11.157848202180299 by -85094883/7626460 = -11.157848202180304 rat: replaced 4.9962002899972004 by 67318418/13473923 = 4.996200289997204 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.069306052430736 by -40984555/6752758 = -6.069306052430726 rat: replaced 11.157848202180299 by 85094883/7626460 = 11.157848202180304 rat: replaced -4.9962002899972004 by -67318418/13473923 = -4.996200289997204 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.2212772763860675 by 102792920/19687313 = 5.221277276386067 rat: replaced -11.478261726494202 by -223050001/19432385 = -11.4782617264942 rat: replaced 4.433530958661786 by 81926057/18478738 = 4.4335309586617875 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.2212772763860675 by -102792920/19687313 = -5.221277276386067 rat: replaced 11.478261726494202 by 223050001/19432385 = 11.4782617264942 rat: replaced -4.433530958661786 by -81926057/18478738 = -4.4335309586617875 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.2466614552664215 by 45668686/7310895 = 6.246661455266421 rat: replaced -11.49688027304704 by -112456332/9781465 = -11.496880273047033 rat: replaced 4.551382035298158 by 123172500/27062659 = 4.5513820352981575 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.2466614552664215 by -45668686/7310895 = -6.246661455266421 rat: replaced 11.49688027304704 by 112456332/9781465 = 11.496880273047033 rat: replaced -4.551382035298158 by -123172500/27062659 = -4.5513820352981575 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.118954888381041 by 49052969/8016560 = 6.118954888381051 rat: replaced -11.023450179298443 by -149272827/13541389 = -11.023450179298445 rat: replaced 4.803558103316931 by 56731371/11810281 = 4.803558103316932 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.118954888381041 by -49052969/8016560 = -6.118954888381051 rat: replaced 11.023450179298443 by 149272827/13541389 = 11.023450179298445 rat: replaced -4.803558103316931 by -56731371/11810281 = -4.803558103316932 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.322460590542404 by 15240051/2410462 = 6.322460590542394 rat: replaced -12.021562278872183 by -121148484/10077599 = -12.02156227887218 rat: replaced 5.078321199642577 by 44795333/8820894 = 5.078321199642576 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.322460590542404 by -15240051/2410462 = -6.322460590542394 rat: replaced 12.021562278872183 by 121148484/10077599 = 12.02156227887218 rat: replaced -5.078321199642577 by -44795333/8820894 = -5.078321199642576 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.745309539592252 by 58209339/10131628 = 5.745309539592255 rat: replaced -11.34712862978709 by -84702843/7464694 = -11.347128629787102 rat: replaced 3.5132068172532613 by 152604489/43437377 = 3.513206817253261 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.745309539592252 by -58209339/10131628 = -5.745309539592255 rat: replaced 11.34712862978709 by 84702843/7464694 = 11.347128629787102 rat: replaced -3.5132068172532613 by -152604489/43437377 = -3.513206817253261 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.052659162510446 by 56104767/9269441 = 6.052659162510447 rat: replaced -11.479181971322635 by -42440051/3697132 = -11.479181971322635 rat: replaced 5.196948574086558 by 105358492/20273145 = 5.196948574086556 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.052659162510446 by -56104767/9269441 = -6.052659162510447 rat: replaced 11.479181971322635 by 42440051/3697132 = 11.479181971322635 rat: replaced -5.196948574086558 by -105358492/20273145 = -5.196948574086556 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.936396842243664 by 68131332/11476883 = 5.936396842243665 rat: replaced -11.770926003763655 by -187657670/15942473 = -11.770926003763657 rat: replaced 4.680840523741588 by 19880508/4247209 = 4.680840523741591 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.936396842243664 by -68131332/11476883 = -5.936396842243665 rat: replaced 11.770926003763655 by 187657670/15942473 = 11.770926003763657 rat: replaced -4.680840523741588 by -19880508/4247209 = -4.680840523741591 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.135257627064049 by 16377107/2669343 = 6.135257627064038 rat: replaced -11.405393621481032 by -65894137/5777454 = -11.40539362148102 rat: replaced 4.942122193087896 by 16872761/3414072 = 4.9421221930879025 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.135257627064049 by -16377107/2669343 = -6.135257627064038 rat: replaced 11.405393621481032 by 65894137/5777454 = 11.40539362148102 rat: replaced -4.942122193087896 by -16872761/3414072 = -4.9421221930879025 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.189796690599072 by 54570597/8816218 = 6.189796690599075 rat: replaced -11.633644337484437 by -64278456/5525221 = -11.63364433748442 rat: replaced 4.860866107844878 by 160485252/33015773 = 4.860866107844878 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.189796690599072 by -54570597/8816218 = -6.189796690599075 rat: replaced 11.633644337484437 by 64278456/5525221 = 11.63364433748442 rat: replaced -4.860866107844878 by -160485252/33015773 = -4.860866107844878 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.200599856610129 by 64276311/10366144 = 6.200599856610134 rat: replaced -11.143553763003823 by -515305328/46242459 = -11.143553763003823 rat: replaced 4.774180223984093 by 8795773/1842363 = 4.77418022398409 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.200599856610129 by -64276311/10366144 = -6.200599856610134 rat: replaced 11.143553763003823 by 515305328/46242459 = 11.143553763003823 rat: replaced -4.774180223984093 by -8795773/1842363 = -4.77418022398409 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.242835902830266 by 46796017/7495955 = 6.24283590283026 rat: replaced -11.284458907241044 by -66937695/5931848 = -11.28445890724105 rat: replaced 4.596393978414696 by 31068939/6759416 = 4.596393978414703 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.242835902830266 by -46796017/7495955 = -6.24283590283026 rat: replaced 11.284458907241044 by 66937695/5931848 = 11.28445890724105 rat: replaced -4.596393978414696 by -31068939/6759416 = -4.596393978414703 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.219766782036754 by 506844746/81489349 = 6.219766782036754 rat: replaced -11.607372706529027 by -33095475/2851246 = -11.607372706529006 rat: replaced 4.301521262599913 by 44760899/10405830 = 4.301521262599908 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.219766782036754 by -506844746/81489349 = -6.219766782036754 rat: replaced 11.607372706529027 by 33095475/2851246 = 11.607372706529006 rat: replaced -4.301521262599913 by -44760899/10405830 = -4.301521262599908 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.155394694835929 by 75620021/12285162 = 6.155394694835933 rat: replaced -11.55398187055351 by -110247344/9541935 = -11.553981870553509 rat: replaced 4.569721410190328 by 46094035/10086837 = 4.56972141019033 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.155394694835929 by -75620021/12285162 = -6.155394694835933 rat: replaced 11.55398187055351 by 110247344/9541935 = 11.553981870553509 rat: replaced -4.569721410190328 by -46094035/10086837 = -4.56972141019033 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.9562261172760405 by 577510967/96959208 = 5.9562261172760405 rat: replaced -11.052771701298143 by -68417530/6190079 = -11.052771701298157 rat: replaced 4.533289894581294 by 84622451/18666896 = 4.533289894581295 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.9562261172760405 by -577510967/96959208 = -5.9562261172760405 rat: replaced 11.052771701298143 by 68417530/6190079 = 11.052771701298157 rat: replaced -4.533289894581294 by -84622451/18666896 = -4.533289894581295 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.240550162236005 by 57198761/9165660 = 6.240550162235999 rat: replaced -10.95737472743737 by -58784365/5364822 = -10.957374727437369 rat: replaced 4.274664525134271 by 60196373/14082128 = 4.27466452513427 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.240550162236005 by -57198761/9165660 = -6.240550162235999 rat: replaced 10.95737472743737 by 58784365/5364822 = 10.957374727437369 rat: replaced -4.274664525134271 by -60196373/14082128 = -4.27466452513427 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.415500291634528 by 55733010/8687243 = 6.415500291634527 rat: replaced -11.553986858902826 by -121041207/10476142 = -11.553986858902828 rat: replaced 4.581510346951505 by 23668591/5166111 = 4.581510346951507 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.415500291634528 by -55733010/8687243 = -6.415500291634527 rat: replaced 11.553986858902826 by 121041207/10476142 = 11.553986858902828 rat: replaced -4.581510346951505 by -23668591/5166111 = -4.581510346951507 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.095235013595568 by 60656140/9951403 = 6.095235013595571 rat: replaced -12.053415614259578 by -75032693/6225015 = -12.053415614259563 rat: replaced 5.505902530365457 by 154077727/27984100 = 5.505902530365457 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.095235013595568 by -60656140/9951403 = -6.095235013595571 rat: replaced 12.053415614259578 by 75032693/6225015 = 12.053415614259563 rat: replaced -5.505902530365457 by -154077727/27984100 = -5.505902530365457 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.449543477634723 by 1892027/347190 = 5.449543477634725 rat: replaced -11.174296418172046 by -23539527/2106578 = -11.17429641817203 rat: replaced 4.13820579013712 by 68028205/16439058 = 4.138205790137124 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.449543477634723 by -1892027/347190 = -5.449543477634725 rat: replaced 11.174296418172046 by 23539527/2106578 = 11.17429641817203 rat: replaced -4.13820579013712 by -68028205/16439058 = -4.138205790137124 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.263228700521552 by 165045778/26351549 = 6.263228700521552 rat: replaced -11.72553316845561 by -27484169/2343959 = -11.725533168455591 rat: replaced 4.868100788255162 by 31362530/6442457 = 4.868100788255164 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.263228700521552 by -165045778/26351549 = -6.263228700521552 rat: replaced 11.72553316845561 by 27484169/2343959 = 11.725533168455591 rat: replaced -4.868100788255162 by -31362530/6442457 = -4.868100788255164 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.122593675586173 by 27858689/4550145 = 6.122593675586162 rat: replaced -11.234084305466995 by -71210681/6338806 = -11.234084305466991 rat: replaced 4.872527812934153 by 54140932/11111467 = 4.872527812934152 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.122593675586173 by -27858689/4550145 = -6.122593675586162 rat: replaced 11.234084305466995 by 71210681/6338806 = 11.234084305466991 rat: replaced -4.872527812934153 by -54140932/11111467 = -4.872527812934152 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.862233184020245 by 58115958/9913621 = 5.862233184020249 rat: replaced -11.181801765518207 by -93563894/8367515 = -11.181801765518198 rat: replaced 4.697898324606428 by 39515606/8411337 = 4.697898324606421 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.862233184020245 by -58115958/9913621 = -5.862233184020249 rat: replaced 11.181801765518207 by 93563894/8367515 = 11.181801765518198 rat: replaced -4.697898324606428 by -39515606/8411337 = -4.697898324606421 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.998811730859368 by 113487158/18918273 = 5.998811730859366 rat: replaced -11.829906581116408 by -14718545/1244181 = -11.829906581116413 rat: replaced 4.24707688156524 by 83705651/19709003 = 4.247076881565242 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.998811730859368 by -113487158/18918273 = -5.998811730859366 rat: replaced 11.829906581116408 by 14718545/1244181 = 11.829906581116413 rat: replaced -4.24707688156524 by -83705651/19709003 = -4.247076881565242 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.952258806347186 by 52998091/8903862 = 5.952258806347178 rat: replaced -11.189076147088015 by -69586666/6219161 = -11.189076147088008 rat: replaced 4.5036761380062895 by 79805551/17720091 = 4.503676138006289 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.952258806347186 by -52998091/8903862 = -5.952258806347178 rat: replaced 11.189076147088015 by 69586666/6219161 = 11.189076147088008 rat: replaced -4.5036761380062895 by -79805551/17720091 = -4.503676138006289 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.5843891632805756 by 197347745/35339182 = 5.584389163280576 rat: replaced -11.31232173882728 by -25633574/2265987 = -11.312321738827276 rat: replaced 4.797412590819538 by 52681611/10981255 = 4.797412590819538 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.5843891632805756 by -197347745/35339182 = -5.584389163280576 rat: replaced 11.31232173882728 by 25633574/2265987 = 11.312321738827276 rat: replaced -4.797412590819538 by -52681611/10981255 = -4.797412590819538 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.7188001204060575 by 26863709/4697438 = 5.718800120406059 rat: replaced -11.730899869935625 by -105814453/9020148 = -11.730899869935616 rat: replaced 4.352325968704423 by 14412549/3311459 = 4.352325968704429 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.7188001204060575 by -26863709/4697438 = -5.718800120406059 rat: replaced 11.730899869935625 by 105814453/9020148 = 11.730899869935616 rat: replaced -4.352325968704423 by -14412549/3311459 = -4.352325968704429 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.528563091767552 by 44782215/6859429 = 6.528563091767551 rat: replaced -11.82971945483161 by -57699918/4877539 = -11.829719454831627 rat: replaced 4.1233249454880445 by 36485315/8848518 = 4.123324945488046 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.528563091767552 by -44782215/6859429 = -6.528563091767551 rat: replaced 11.82971945483161 by 57699918/4877539 = 11.829719454831627 rat: replaced -4.1233249454880445 by -36485315/8848518 = -4.123324945488046 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.519060476450916 by 74009153/11352733 = 6.519060476450913 rat: replaced -11.301455169738661 by -71352404/6313559 = -11.301455169738652 rat: replaced 4.729581094589882 by 83402133/17634148 = 4.729581094589883 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.519060476450916 by -74009153/11352733 = -6.519060476450913 rat: replaced 11.301455169738661 by 71352404/6313559 = 11.301455169738652 rat: replaced -4.729581094589882 by -83402133/17634148 = -4.729581094589883 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.384788629622766 by 49035796/7680097 = 6.3847886296227765 rat: replaced -11.259589386205324 by -186952263/16603826 = -11.259589386205324 rat: replaced 4.4031469331918505 by 155581441/35334147 = 4.40314693319185 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.384788629622766 by -49035796/7680097 = -6.3847886296227765 rat: replaced 11.259589386205324 by 186952263/16603826 = 11.259589386205324 rat: replaced -4.4031469331918505 by -155581441/35334147 = -4.40314693319185 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.217525361350188 by 36605693/5887502 = 6.217525361350195 rat: replaced -11.65985548841457 by -220581939/18918068 = -11.659855488414568 rat: replaced 4.607151471587385 by 112177868/24348639 = 4.607151471587385 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.217525361350188 by -36605693/5887502 = -6.217525361350195 rat: replaced 11.65985548841457 by 220581939/18918068 = 11.659855488414568 rat: replaced -4.607151471587385 by -112177868/24348639 = -4.607151471587385 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.838786394452515 by 81284037/11885740 = 6.838786394452512 rat: replaced -11.85411964872957 by -58092441/4900612 = -11.854119648729588 rat: replaced 4.8500936512867066 by 21953299/4526366 = 4.850093651286706 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.838786394452515 by -81284037/11885740 = -6.838786394452512 rat: replaced 11.85411964872957 by 58092441/4900612 = 11.854119648729588 rat: replaced -4.8500936512867066 by -21953299/4526366 = -4.850093651286706 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.817202687565528 by 78890384/13561567 = 5.81720268756553 rat: replaced -11.988891847923227 by -16971799/1415627 = -11.988891847923217 rat: replaced 4.9889055954336 by 91324581/18305534 = 4.988905595433599 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.817202687565528 by -78890384/13561567 = -5.81720268756553 rat: replaced 11.988891847923227 by 16971799/1415627 = 11.988891847923217 rat: replaced -4.9889055954336 by -91324581/18305534 = -4.988905595433599 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.868251314036508 by 26344992/4489411 = 5.8682513140365185 rat: replaced -11.724396352706323 by -83146183/7091724 = -11.724396352706338 rat: replaced 4.840344906874939 by 107590204/22227797 = 4.840344906874937 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.868251314036508 by -26344992/4489411 = -5.8682513140365185 rat: replaced 11.724396352706323 by 83146183/7091724 = 11.724396352706338 rat: replaced -4.840344906874939 by -107590204/22227797 = -4.840344906874937 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.389568584808736 by 110435968/17283791 = 6.389568584808738 rat: replaced -11.579064119291742 by -57444675/4961081 = -11.579064119291743 rat: replaced 4.849246943085615 by 37959071/7827828 = 4.8492469430856175 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.389568584808736 by -110435968/17283791 = -6.389568584808738 rat: replaced 11.579064119291742 by 57444675/4961081 = 11.579064119291743 rat: replaced -4.849246943085615 by -37959071/7827828 = -4.8492469430856175 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.480256444657839 by 39558058/6104397 = 6.480256444657843 rat: replaced -11.541479930018848 by -70732029/6128506 = -11.541479930018832 rat: replaced 5.091883331482405 by 12333626/2422213 = 5.091883331482409 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.480256444657839 by -39558058/6104397 = -6.480256444657843 rat: replaced 11.541479930018848 by 70732029/6128506 = 11.541479930018832 rat: replaced -5.091883331482405 by -12333626/2422213 = -5.091883331482409 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.173373713298642 by 38768861/6280012 = 6.173373713298637 rat: replaced -11.710158640653964 by -65208721/5568560 = -11.710158640653956 rat: replaced 4.332056744319694 by 19809902/4572863 = 4.332056744319696 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.173373713298642 by -38768861/6280012 = -6.173373713298637 rat: replaced 11.710158640653964 by 65208721/5568560 = 11.710158640653956 rat: replaced -4.332056744319694 by -19809902/4572863 = -4.332056744319696 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.52812449795462 by 323970291/58604015 = 5.52812449795462 rat: replaced -11.362781195774215 by -53290103/4689882 = -11.362781195774222 rat: replaced 5.560349717917528 by 107153277/19270960 = 5.560349717917529 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.52812449795462 by -323970291/58604015 = -5.52812449795462 rat: replaced 11.362781195774215 by 53290103/4689882 = 11.362781195774222 rat: replaced -5.560349717917528 by -107153277/19270960 = -5.560349717917529 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.848257809071406 by 17711341/2586255 = 6.848257809071418 rat: replaced -11.45686070457091 by -59812615/5220681 = -11.456860704570918 rat: replaced 4.947073137820326 by 16241345/3283021 = 4.947073137820318 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.848257809071406 by -17711341/2586255 = -6.848257809071418 rat: replaced 11.45686070457091 by 59812615/5220681 = 11.456860704570918 rat: replaced -4.947073137820326 by -16241345/3283021 = -4.947073137820318 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.5778951556717065 by 36717620/5581971 = 6.577895155671715 rat: replaced -11.460549082944128 by -134170860/11707193 = -11.460549082944135 rat: replaced 4.550432199569368 by 31300835/6878651 = 4.5504321995693635 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.5778951556717065 by -36717620/5581971 = -6.577895155671715 rat: replaced 11.460549082944128 by 134170860/11707193 = 11.460549082944135 rat: replaced -4.550432199569368 by -31300835/6878651 = -4.5504321995693635 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.409163940471458 by 102231305/15950802 = 6.4091639404714575 rat: replaced -11.236514169350738 by -2770003/246518 = -11.236514169350716 rat: replaced 5.0063923556302035 by 10672452/2131765 = 5.006392355630194 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.409163940471458 by -102231305/15950802 = -6.4091639404714575 rat: replaced 11.236514169350738 by 2770003/246518 = 11.236514169350716 rat: replaced -5.0063923556302035 by -10672452/2131765 = -5.006392355630194 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.1902671287217546 by 27207134/4395147 = 6.190267128721747 rat: replaced -11.462756391640918 by -19459714/1697647 = -11.4627563916409 rat: replaced 4.717763443766759 by 26947761/5711978 = 4.717763443766765 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.1902671287217546 by -27207134/4395147 = -6.190267128721747 rat: replaced 11.462756391640918 by 19459714/1697647 = 11.4627563916409 rat: replaced -4.717763443766759 by -26947761/5711978 = -4.717763443766765 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.462244525881466 by 31421895/4862381 = 6.462244525881456 rat: replaced -11.661130942273825 by -30560734/2620735 = -11.661130942273827 rat: replaced 5.417434284331128 by 24507633/4523845 = 5.417434284331138 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.462244525881466 by -31421895/4862381 = -6.462244525881456 rat: replaced 11.661130942273825 by 30560734/2620735 = 11.661130942273827 rat: replaced -5.417434284331128 by -24507633/4523845 = -5.417434284331138 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.321457393029759 by 40536984/6412601 = 6.321457393029755 rat: replaced -11.09603757835224 by -43334909/3905440 = -11.096037578352247 rat: replaced 4.621871280142598 by 843795637/182565802 = 4.621871280142598 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.321457393029759 by -40536984/6412601 = -6.321457393029755 rat: replaced 11.09603757835224 by 43334909/3905440 = 11.096037578352247 rat: replaced -4.621871280142598 by -843795637/182565802 = -4.621871280142598 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.3226571706399035 by 41737232/6601217 = 6.322657170639899 rat: replaced -11.406288248410618 by -61870502/5424245 = -11.406288248410608 rat: replaced 4.549179280979695 by 35618245/7829598 = 4.549179280979687 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.3226571706399035 by -41737232/6601217 = -6.322657170639899 rat: replaced 11.406288248410618 by 61870502/5424245 = 11.406288248410608 rat: replaced -4.549179280979695 by -35618245/7829598 = -4.549179280979687 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.848077614350664 by 12992707/1897278 = 6.8480776143506645 rat: replaced -12.152164652924178 by -111575039/9181495 = -12.152164652924169 rat: replaced 4.050421593380595 by 173825957/42915522 = 4.050421593380595 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.848077614350664 by -12992707/1897278 = -6.8480776143506645 rat: replaced 12.152164652924178 by 111575039/9181495 = 12.152164652924169 rat: replaced -4.050421593380595 by -173825957/42915522 = -4.050421593380595 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.123302638011821 by 35156838/5741483 = 6.1233026380118165 rat: replaced -11.687328542294106 by -111674750/9555199 = -11.687328542294095 rat: replaced 5.322299608668189 by 421254399/79148945 = 5.322299608668189 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.123302638011821 by -35156838/5741483 = -6.1233026380118165 rat: replaced 11.687328542294106 by 111674750/9555199 = 11.687328542294095 rat: replaced -5.322299608668189 by -421254399/79148945 = -5.322299608668189 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.401621926665489 by 81629501/12751378 = 6.401621926665494 rat: replaced -11.733847607272336 by -55556260/4734701 = -11.733847607272349 rat: replaced 4.642820659610029 by 65602002/14129773 = 4.64282065961003 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.401621926665489 by -81629501/12751378 = -6.401621926665494 rat: replaced 11.733847607272336 by 55556260/4734701 = 11.733847607272349 rat: replaced -4.642820659610029 by -65602002/14129773 = -4.64282065961003 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.572404010868349 by 55482677/8441763 = 6.572404010868346 rat: replaced -11.72059677360907 by -73419588/6264151 = -11.720596773609065 rat: replaced 4.882772771805609 by 41136511/8424826 = 4.882772771805613 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.572404010868349 by -55482677/8441763 = -6.572404010868346 rat: replaced 11.72059677360907 by 73419588/6264151 = 11.720596773609065 rat: replaced -4.882772771805609 by -41136511/8424826 = -4.882772771805613 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.27029225456917 by 30356322/4841293 = 6.270292254569182 rat: replaced -11.805760972585587 by -35362941/2995397 = -11.805760972585604 rat: replaced 4.440135323367417 by 49609370/11172941 = 4.440135323367411 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.27029225456917 by -30356322/4841293 = -6.270292254569182 rat: replaced 11.805760972585587 by 35362941/2995397 = 11.805760972585604 rat: replaced -4.440135323367417 by -49609370/11172941 = -4.440135323367411 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.922873584986473 by 60297625/10180468 = 5.922873584986466 rat: replaced -11.96629807127391 by -28514731/2382920 = -11.966298071273899 rat: replaced 4.617155623450219 by 31403053/6801385 = 4.617155623450223 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.922873584986473 by -60297625/10180468 = -5.922873584986466 rat: replaced 11.96629807127391 by 28514731/2382920 = 11.966298071273899 rat: replaced -4.617155623450219 by -31403053/6801385 = -4.617155623450223 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.8772997457031595 by 63546174/9239989 = 6.87729974570316 rat: replaced -11.686643702334395 by -70116812/5999739 = -11.686643702334385 rat: replaced 3.9882771415540317 by 35887443/8998232 = 3.98827714155403 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.8772997457031595 by -63546174/9239989 = -6.87729974570316 rat: replaced 11.686643702334395 by 70116812/5999739 = 11.686643702334385 rat: replaced -3.9882771415540317 by -35887443/8998232 = -3.98827714155403 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.857384254862005 by 33824617/4932583 = 6.857384254862007 rat: replaced -11.550030605249992 by -58853539/5095531 = -11.550030605249972 rat: replaced 4.286098537820228 by 369511537/86211629 = 4.286098537820228 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.857384254862005 by -33824617/4932583 = -6.857384254862007 rat: replaced 11.550030605249992 by 58853539/5095531 = 11.550030605249972 rat: replaced -4.286098537820228 by -369511537/86211629 = -4.286098537820228 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.617965947148871 by 16867501/2548744 = 6.61796594714887 rat: replaced -12.26797136395373 by -366576811/29880801 = -12.26797136395373 rat: replaced 5.136192075730614 by 22150080/4312549 = 5.136192075730618 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.617965947148871 by -16867501/2548744 = -6.61796594714887 rat: replaced 12.26797136395373 by 366576811/29880801 = 12.26797136395373 rat: replaced -5.136192075730614 by -22150080/4312549 = -5.136192075730618 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.14021187738134 by 19451393/3167870 = 6.140211877381332 rat: replaced -11.551328182314426 by -33711246/2918387 = -11.551328182314409 rat: replaced 4.846326724925976 by 36734134/7579789 = 4.8463267249259845 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.14021187738134 by -19451393/3167870 = -6.140211877381332 rat: replaced 11.551328182314426 by 33711246/2918387 = 11.551328182314409 rat: replaced -4.846326724925976 by -36734134/7579789 = -4.8463267249259845 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.414317669494804 by 117509267/18319839 = 6.414317669494803 rat: replaced -11.857605322204524 by -46034793/3882301 = -11.857605322204538 rat: replaced 5.126010931305919 by 73846067/14406147 = 5.126010931305921 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.414317669494804 by -117509267/18319839 = -6.414317669494803 rat: replaced 11.857605322204524 by 46034793/3882301 = 11.857605322204538 rat: replaced -5.126010931305919 by -73846067/14406147 = -5.126010931305921 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.309399262448199 by 2008386679/318316625 = 6.309399262448199 rat: replaced -11.48869499068577 by -92367304/8039843 = -11.488694990685763 rat: replaced 4.996976939833738 by 48657983/9737484 = 4.99697693983374 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.309399262448199 by -2008386679/318316625 = -6.309399262448199 rat: replaced 11.48869499068577 by 92367304/8039843 = 11.488694990685763 rat: replaced -4.996976939833738 by -48657983/9737484 = -4.99697693983374 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.088752048017563 by 40410475/6636906 = 6.088752048017555 rat: replaced -10.920012751796241 by -35350167/3237191 = -10.920012751796234 rat: replaced 4.119267709568708 by 118660536/28806221 = 4.119267709568708 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.088752048017563 by -40410475/6636906 = -6.088752048017555 rat: replaced 10.920012751796241 by 35350167/3237191 = 10.920012751796234 rat: replaced -4.119267709568708 by -118660536/28806221 = -4.119267709568708 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.183888751755925 by 68893777/11140850 = 6.183888751755926 rat: replaced -11.770282809219243 by -186648625/15857616 = -11.770282809219243 rat: replaced 4.7262293209770645 by 73953385/15647439 = 4.726229320977062 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.183888751755925 by -68893777/11140850 = -6.183888751755926 rat: replaced 11.770282809219243 by 186648625/15857616 = 11.770282809219243 rat: replaced -4.7262293209770645 by -73953385/15647439 = -4.726229320977062 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.414124746475115 by 28041649/4371859 = 6.414124746475126 rat: replaced -11.427211701243401 by -120169461/10516079 = -11.427211701243401 rat: replaced 4.676508156312131 by 24720443/5286090 = 4.676508156312132 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.414124746475115 by -28041649/4371859 = -6.414124746475126 rat: replaced 11.427211701243401 by 120169461/10516079 = 11.427211701243401 rat: replaced -4.676508156312131 by -24720443/5286090 = -4.676508156312132 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.920533177587107 by 37405751/6317970 = 5.920533177587105 rat: replaced -11.13763803034067 by -274302895/24628462 = -11.137638030340668 rat: replaced 5.009587692548044 by 111332095/22223804 = 5.0095876925480445 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.920533177587107 by -37405751/6317970 = -5.920533177587105 rat: replaced 11.13763803034067 by 274302895/24628462 = 11.137638030340668 rat: replaced -5.009587692548044 by -111332095/22223804 = -5.0095876925480445 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.501810105268288 by 37942045/6896284 = 5.501810105268286 rat: replaced -12.111919899425418 by -166218502/13723547 = -12.111919899425418 rat: replaced 5.069409038499956 by 35973875/7096266 = 5.069409038499966 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.501810105268288 by -37942045/6896284 = -5.501810105268286 rat: replaced 12.111919899425418 by 166218502/13723547 = 12.111919899425418 rat: replaced -5.069409038499956 by -35973875/7096266 = -5.069409038499966 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.954576654991213 by 71030561/11928734 = 5.954576654991217 rat: replaced -11.500577879192322 by -32150636/2795567 = -11.500577879192306 rat: replaced 4.479814442012398 by 21313873/4757758 = 4.479814442012393 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.954576654991213 by -71030561/11928734 = -5.954576654991217 rat: replaced 11.500577879192322 by 32150636/2795567 = 11.500577879192306 rat: replaced -4.479814442012398 by -21313873/4757758 = -4.479814442012393 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.787387312800008 by 59518355/8768964 = 6.787387312800007 rat: replaced -11.768212722684144 by -155451747/13209461 = -11.768212722684142 rat: replaced 4.824850021160197 by 101888669/21117479 = 4.824850021160196 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.787387312800008 by -59518355/8768964 = -6.787387312800007 rat: replaced 11.768212722684144 by 155451747/13209461 = 11.768212722684142 rat: replaced -4.824850021160197 by -101888669/21117479 = -4.824850021160196 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.257856482603618 by 84915752/13569463 = 6.257856482603622 rat: replaced -11.902734427458434 by -269796377/22666756 = -11.902734427458434 rat: replaced 3.9662704521031142 by 90222162/22747355 = 3.9662704521031125 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.257856482603618 by -84915752/13569463 = -6.257856482603622 rat: replaced 11.902734427458434 by 269796377/22666756 = 11.902734427458434 rat: replaced -3.9662704521031142 by -90222162/22747355 = -3.9662704521031125 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.315295786143396 by 248671510/39376067 = 6.315295786143396 rat: replaced -11.651631807463794 by -185712295/15938737 = -11.65163180746379 rat: replaced 5.11988570374756 by 43087289/8415674 = 5.1198857037475545 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.315295786143396 by -248671510/39376067 = -6.315295786143396 rat: replaced 11.651631807463794 by 185712295/15938737 = 11.65163180746379 rat: replaced -5.11988570374756 by -43087289/8415674 = -5.1198857037475545 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.148707902648697 by 31861184/5181769 = 6.14870790264869 rat: replaced -11.596064513109463 by -74823815/6452518 = -11.596064513109456 rat: replaced 5.135213184106095 by 132252799/25754101 = 5.135213184106096 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.148707902648697 by -31861184/5181769 = -6.14870790264869 rat: replaced 11.596064513109463 by 74823815/6452518 = 11.596064513109456 rat: replaced -5.135213184106095 by -132252799/25754101 = -5.135213184106096 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.050416392969609 by 59677671/9863399 = 6.050416392969604 rat: replaced -11.295984684248591 by -33649541/2978894 = -11.295984684248584 rat: replaced 4.693514278744008 by 81899989/17449609 = 4.6935142787440105 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.050416392969609 by -59677671/9863399 = -6.050416392969604 rat: replaced 11.295984684248591 by 33649541/2978894 = 11.295984684248584 rat: replaced -4.693514278744008 by -81899989/17449609 = -4.6935142787440105 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.549591747409182 by 135018596/20614811 = 6.549591747409181 rat: replaced -11.729975775170647 by -63887055/5446478 = -11.72997577517067 rat: replaced 4.9274938903198295 by 27665173/5614451 = 4.92749389031982 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.549591747409182 by -135018596/20614811 = -6.549591747409181 rat: replaced 11.729975775170647 by 63887055/5446478 = 11.72997577517067 rat: replaced -4.9274938903198295 by -27665173/5614451 = -4.92749389031982 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.50797765434233 by 38452002/5908441 = 6.507977654342321 rat: replaced -11.662725633984548 by -234216326/20082469 = -11.662725633984547 rat: replaced 5.012263160898131 by 31708494/6326183 = 5.012263160898128 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.50797765434233 by -38452002/5908441 = -6.507977654342321 rat: replaced 11.662725633984548 by 234216326/20082469 = 11.662725633984547 rat: replaced -5.012263160898131 by -31708494/6326183 = -5.012263160898128 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.607135656730084 by 114831727/17379956 = 6.607135656730086 rat: replaced -11.514310236075524 by -163123141/14166992 = -11.51431023607552 rat: replaced 5.360102139271423 by 27059945/5048401 = 5.360102139271425 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.607135656730084 by -114831727/17379956 = -6.607135656730086 rat: replaced 11.514310236075524 by 163123141/14166992 = 11.51431023607552 rat: replaced -5.360102139271423 by -27059945/5048401 = -5.360102139271425 rat: replaced 5.0 by 5/1 = 5.0 Gen 15 : best = 0.749 mu = [-5.1,11.76,-6.3] rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.082465985118942 by 61955001/10185836 = 6.082465985118944 rat: replaced -11.949916534912994 by -67699181/5665243 = -11.949916534912978 rat: replaced 5.564082019906564 by 9465327/1701148 = 5.564082019906557 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.082465985118942 by -61955001/10185836 = -6.082465985118944 rat: replaced 11.949916534912994 by 67699181/5665243 = 11.949916534912978 rat: replaced -5.564082019906564 by -9465327/1701148 = -5.564082019906557 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.749322081850081 by 45040737/6673372 = 6.749322081850075 rat: replaced -11.202978048856666 by -89309368/7971931 = -11.20297804885667 rat: replaced 5.075705949661825 by 33131229/6527413 = 5.075705949661834 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.749322081850081 by -45040737/6673372 = -6.749322081850075 rat: replaced 11.202978048856666 by 89309368/7971931 = 11.20297804885667 rat: replaced -5.075705949661825 by -33131229/6527413 = -5.075705949661834 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.366498280353689 by 85252728/13390835 = 6.36649828035369 rat: replaced -11.455776449300952 by -38582299/3367934 = -11.455776449300966 rat: replaced 5.390189111128635 by 17359891/3220646 = 5.390189111128637 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.366498280353689 by -85252728/13390835 = -6.36649828035369 rat: replaced 11.455776449300952 by 38582299/3367934 = 11.455776449300966 rat: replaced -5.390189111128635 by -17359891/3220646 = -5.390189111128637 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.1234896639747545 by 135314217/22097566 = 6.123489663974756 rat: replaced -11.69067397380866 by -70118149/5997785 = -11.690673973808664 rat: replaced 5.252187324422295 by 14667085/2792567 = 5.252187324422297 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.1234896639747545 by -135314217/22097566 = -6.123489663974756 rat: replaced 11.69067397380866 by 70118149/5997785 = 11.690673973808664 rat: replaced -5.252187324422295 by -14667085/2792567 = -5.252187324422297 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.007724051876026 by 62263217/10363861 = 6.007724051876034 rat: replaced -12.297462431142979 by -53125050/4320001 = -12.297462431142955 rat: replaced 4.659934080876836 by 9992977/2144446 = 4.659934080876832 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.007724051876026 by -62263217/10363861 = -6.007724051876034 rat: replaced 12.297462431142979 by 53125050/4320001 = 12.297462431142955 rat: replaced -4.659934080876836 by -9992977/2144446 = -4.659934080876832 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.251307838671017 by 89571308/14328411 = 6.251307838671015 rat: replaced -11.614879307889247 by -37677205/3243874 = -11.61487930788927 rat: replaced 4.901049485137893 by 57291955/11689732 = 4.901049485137897 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.251307838671017 by -89571308/14328411 = -6.251307838671015 rat: replaced 11.614879307889247 by 37677205/3243874 = 11.61487930788927 rat: replaced -4.901049485137893 by -57291955/11689732 = -4.901049485137897 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.69695746743607 by 87699819/13095472 = 6.696957467436072 rat: replaced -11.524471072586518 by -8761652/760265 = -11.524471072586532 rat: replaced 5.238637774828239 by 32186531/6144065 = 5.238637774828229 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.69695746743607 by -87699819/13095472 = -6.696957467436072 rat: replaced 11.524471072586518 by 8761652/760265 = 11.524471072586532 rat: replaced -5.238637774828239 by -32186531/6144065 = -5.238637774828229 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.314309852458968 by 40748281/6453323 = 6.314309852458958 rat: replaced -11.87545372003364 by -62453308/5259025 = -11.875453720033656 rat: replaced 4.985000623839512 by 31124315/6243593 = 4.98500062383951 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.314309852458968 by -40748281/6453323 = -6.314309852458958 rat: replaced 11.87545372003364 by 62453308/5259025 = 11.875453720033656 rat: replaced -4.985000623839512 by -31124315/6243593 = -4.98500062383951 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.358690585898741 by 30463501/4790845 = 6.35869058589873 rat: replaced -12.167330980320981 by -118377046/9729089 = -12.167330980320974 rat: replaced 5.443300011149138 by 36079918/6628317 = 5.443300011149135 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.358690585898741 by -30463501/4790845 = -6.35869058589873 rat: replaced 12.167330980320981 by 118377046/9729089 = 12.167330980320974 rat: replaced -5.443300011149138 by -36079918/6628317 = -5.443300011149135 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.76079281225602 by 35219350/6113629 = 5.760792812256026 rat: replaced -11.54799946957861 by -51990029/4502081 = -11.547999469578624 rat: replaced 5.161179028864016 by 112006137/21701657 = 5.161179028864018 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.76079281225602 by -35219350/6113629 = -5.760792812256026 rat: replaced 11.54799946957861 by 51990029/4502081 = 11.547999469578624 rat: replaced -5.161179028864016 by -112006137/21701657 = -5.161179028864018 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.305834259025873 by 66848603/10601072 = 6.30583425902588 rat: replaced -11.531706470817923 by -95121345/8248679 = -11.531706470817934 rat: replaced 5.1039789237895485 by 40686123/7971452 = 5.103978923789543 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.305834259025873 by -66848603/10601072 = -6.30583425902588 rat: replaced 11.531706470817923 by 95121345/8248679 = 11.531706470817934 rat: replaced -5.1039789237895485 by -40686123/7971452 = -5.103978923789543 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.352352837837775 by 99908770/15727837 = 6.352352837837778 rat: replaced -11.852117592089364 by -55349081/4669974 = -11.852117592089378 rat: replaced 5.041573362017934 by 90152583/17881835 = 5.041573362017936 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.352352837837775 by -99908770/15727837 = -6.352352837837778 rat: replaced 11.852117592089364 by 55349081/4669974 = 11.852117592089378 rat: replaced -5.041573362017934 by -90152583/17881835 = -5.041573362017936 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.358184104717846 by 114681365/18036811 = 6.3581841047178465 rat: replaced -11.967058241925788 by -379420871/31705442 = -11.967058241925788 rat: replaced 5.13484356613645 by 30755125/5989496 = 5.13484356613645 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.358184104717846 by -114681365/18036811 = -6.3581841047178465 rat: replaced 11.967058241925788 by 379420871/31705442 = 11.967058241925788 rat: replaced -5.13484356613645 by -30755125/5989496 = -5.13484356613645 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.4532112192755156 by 38210309/5921131 = 6.453211219275507 rat: replaced -11.803174918255925 by -497216805/42125683 = -11.803174918255925 rat: replaced 4.846685508164987 by 115393732/23808793 = 4.846685508164987 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.4532112192755156 by -38210309/5921131 = -6.453211219275507 rat: replaced 11.803174918255925 by 497216805/42125683 = 11.803174918255925 rat: replaced -4.846685508164987 by -115393732/23808793 = -4.846685508164987 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.197083209005881 by 78651019/12691619 = 6.19708320900588 rat: replaced -11.729707996411067 by -63875509/5445618 = -11.72970799641106 rat: replaced 5.567015934392341 by 53238214/9563151 = 5.5670159343923356 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.197083209005881 by -78651019/12691619 = -6.19708320900588 rat: replaced 11.729707996411067 by 63875509/5445618 = 11.72970799641106 rat: replaced -5.567015934392341 by -53238214/9563151 = -5.5670159343923356 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.923318079014322 by 41969226/7085425 = 5.923318079014314 rat: replaced -11.912307880973414 by -62459792/5243299 = -11.91230788097341 rat: replaced 5.380228050504766 by 38604024/7175165 = 5.380228050504762 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.923318079014322 by -41969226/7085425 = -5.923318079014314 rat: replaced 11.912307880973414 by 62459792/5243299 = 11.91230788097341 rat: replaced -5.380228050504766 by -38604024/7175165 = -5.380228050504762 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.018042623282271 by 61732004/10257821 = 6.018042623282274 rat: replaced -11.72509190959798 by -163139083/13913672 = -11.725091909597984 rat: replaced 5.1308570018302095 by 31995465/6235891 = 5.130857001830211 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.018042623282271 by -61732004/10257821 = -6.018042623282274 rat: replaced 11.72509190959798 by 163139083/13913672 = 11.725091909597984 rat: replaced -5.1308570018302095 by -31995465/6235891 = -5.130857001830211 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.482040575638619 by 28942914/4465093 = 6.482040575638626 rat: replaced -11.522834891905058 by -37068280/3216941 = -11.522834891905074 rat: replaced 5.040355787345017 by 35886683/7119871 = 5.040355787345024 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.482040575638619 by -28942914/4465093 = -6.482040575638626 rat: replaced 11.522834891905058 by 37068280/3216941 = 11.522834891905074 rat: replaced -5.040355787345017 by -35886683/7119871 = -5.040355787345024 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.211546274629475 by 44964371/7238837 = 6.211546274629474 rat: replaced -11.915545139935324 by -1772031651/148715953 = -11.915545139935324 rat: replaced 4.561212284712746 by 66784244/14641775 = 4.561212284712748 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.211546274629475 by -44964371/7238837 = -6.211546274629474 rat: replaced 11.915545139935324 by 1772031651/148715953 = 11.915545139935324 rat: replaced -4.561212284712746 by -66784244/14641775 = -4.561212284712748 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.124563950825675 by 131722969/21507322 = 6.124563950825677 rat: replaced -11.583538418770704 by -40793782/3521703 = -11.583538418770692 rat: replaced 5.000849099730291 by 69432374/13884117 = 5.000849099730289 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.124563950825675 by -131722969/21507322 = -6.124563950825677 rat: replaced 11.583538418770704 by 40793782/3521703 = 11.583538418770692 rat: replaced -5.000849099730291 by -69432374/13884117 = -5.000849099730289 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.737789888008329 by 50046255/7427696 = 6.737789888008341 rat: replaced -11.404904804410323 by -163301962/14318573 = -11.404904804410327 rat: replaced 5.619291685797835 by 30437180/5416551 = 5.619291685797845 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.737789888008329 by -50046255/7427696 = -6.737789888008341 rat: replaced 11.404904804410323 by 163301962/14318573 = 11.404904804410327 rat: replaced -5.619291685797835 by -30437180/5416551 = -5.619291685797845 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.886968823141775 by 20270170/3443227 = 5.886968823141779 rat: replaced -12.220917900592738 by -69277475/5668762 = -12.220917900592758 rat: replaced 5.254974256276148 by 115699877/22017211 = 5.254974256276147 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.886968823141775 by -20270170/3443227 = -5.886968823141779 rat: replaced 12.220917900592738 by 69277475/5668762 = 12.220917900592758 rat: replaced -5.254974256276148 by -115699877/22017211 = -5.254974256276147 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.837285065977141 by 39560425/6777196 = 5.837285065977139 rat: replaced -11.46609018471912 by -150851930/13156353 = -11.466090184719125 rat: replaced 4.995124013329048 by 286225691/57301018 = 4.995124013329048 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.837285065977141 by -39560425/6777196 = -5.837285065977139 rat: replaced 11.46609018471912 by 150851930/13156353 = 11.466090184719125 rat: replaced -4.995124013329048 by -286225691/57301018 = -4.995124013329048 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.012357269070165 by 8805963/1464644 = 6.012357269070163 rat: replaced -11.860061760916905 by -66542869/5610668 = -11.860061760916881 rat: replaced 5.616283023825349 by 46641467/8304686 = 5.616283023825344 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.012357269070165 by -8805963/1464644 = -6.012357269070163 rat: replaced 11.860061760916905 by 66542869/5610668 = 11.860061760916881 rat: replaced -5.616283023825349 by -46641467/8304686 = -5.616283023825344 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.8741267765465945 by 4415399/751669 = 5.874126776546592 rat: replaced -11.283094836144523 by -647494061/57386211 = -11.283094836144523 rat: replaced 4.684161364758388 by 41738084/8910471 = 4.684161364758384 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.8741267765465945 by -4415399/751669 = -5.874126776546592 rat: replaced 11.283094836144523 by 647494061/57386211 = 11.283094836144523 rat: replaced -4.684161364758388 by -41738084/8910471 = -4.684161364758384 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.213567706118039 by 165296205/26602463 = 6.213567706118039 rat: replaced -11.792729907019954 by -61826205/5242739 = -11.792729907019975 rat: replaced 5.147107531602487 by 55816876/10844319 = 5.147107531602492 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.213567706118039 by -165296205/26602463 = -6.213567706118039 rat: replaced 11.792729907019954 by 61826205/5242739 = 11.792729907019975 rat: replaced -5.147107531602487 by -55816876/10844319 = -5.147107531602492 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.430201788730785 by 44281964/6886559 = 6.4302017887307725 rat: replaced -11.993045539061514 by -64714006/5395961 = -11.993045539061532 rat: replaced 4.861177105002142 by 32597046/6705587 = 4.861177105002143 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.430201788730785 by -44281964/6886559 = -6.4302017887307725 rat: replaced 11.993045539061514 by 64714006/5395961 = 11.993045539061532 rat: replaced -4.861177105002142 by -32597046/6705587 = -4.861177105002143 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.990167889097385 by 17933137/2993762 = 5.990167889097396 rat: replaced -11.954071561790279 by -116876691/9777145 = -11.954071561790277 rat: replaced 4.978742040422109 by 41516998/8338853 = 4.978742040422106 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.990167889097385 by -17933137/2993762 = -5.990167889097396 rat: replaced 11.954071561790279 by 116876691/9777145 = 11.954071561790277 rat: replaced -4.978742040422109 by -41516998/8338853 = -4.978742040422106 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.6660084554140235 by 4955704/743429 = 6.666008455414034 rat: replaced -11.667850273353771 by -34006393/2914538 = -11.667850273353787 rat: replaced 4.890049664990064 by 27952008/5716099 = 4.890049664990057 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.6660084554140235 by -4955704/743429 = -6.666008455414034 rat: replaced 11.667850273353771 by 34006393/2914538 = 11.667850273353787 rat: replaced -4.890049664990064 by -27952008/5716099 = -4.890049664990057 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.013410548095931 by 38386053/6383408 = 6.013410548095939 rat: replaced -11.96517811871171 by -32305610/2699969 = -11.965178118711734 rat: replaced 5.665870614152608 by 110908981/19574923 = 5.665870614152607 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.013410548095931 by -38386053/6383408 = -6.013410548095939 rat: replaced 11.96517811871171 by 32305610/2699969 = 11.965178118711734 rat: replaced -5.665870614152608 by -110908981/19574923 = -5.665870614152607 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.262723102947976 by 41572100/6638023 = 6.262723102947971 rat: replaced -11.429552114478183 by -230375824/20156155 = -11.429552114478183 rat: replaced 5.0201774423957 by 58473074/11647611 = 5.020177442395698 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.262723102947976 by -41572100/6638023 = -6.262723102947971 rat: replaced 11.429552114478183 by 230375824/20156155 = 11.429552114478183 rat: replaced -5.0201774423957 by -58473074/11647611 = -5.020177442395698 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.96315345912346 by 37854933/6348140 = 5.963153459123459 rat: replaced -12.09677538472875 by -436022051/36044486 = -12.09677538472875 rat: replaced 5.602916643785527 by 70910429/12655985 = 5.602916643785529 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.96315345912346 by -37854933/6348140 = -5.963153459123459 rat: replaced 12.09677538472875 by 436022051/36044486 = 12.09677538472875 rat: replaced -5.602916643785527 by -70910429/12655985 = -5.602916643785529 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.650006373620851 by 40952036/6158195 = 6.650006373620842 rat: replaced -11.90701994090714 by -126842209/10652725 = -11.907019940907139 rat: replaced 5.672246809949264 by 36676538/6465963 = 5.672246809949268 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.650006373620851 by -40952036/6158195 = -6.650006373620842 rat: replaced 11.90701994090714 by 126842209/10652725 = 11.907019940907139 rat: replaced -5.672246809949264 by -36676538/6465963 = -5.672246809949268 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.030088183973516 by 7706513/1278010 = 6.030088183973521 rat: replaced -11.26166125898974 by -61136203/5428702 = -11.261661258989719 rat: replaced 5.41080739931822 by 33409988/6174677 = 5.410807399318215 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.030088183973516 by -7706513/1278010 = -6.030088183973521 rat: replaced 11.26166125898974 by 61136203/5428702 = 11.261661258989719 rat: replaced -5.41080739931822 by -33409988/6174677 = -5.410807399318215 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.279137117847141 by 68754517/10949676 = 6.27913711784714 rat: replaced -11.552637797128458 by -94507451/8180595 = -11.55263779712845 rat: replaced 4.367076391241247 by 51503967/11793695 = 4.367076391241252 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.279137117847141 by -68754517/10949676 = -6.27913711784714 rat: replaced 11.552637797128458 by 94507451/8180595 = 11.55263779712845 rat: replaced -4.367076391241247 by -51503967/11793695 = -4.367076391241252 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.6976423128277895 by 303530097/45318947 = 6.6976423128277895 rat: replaced -11.214329969811859 by -47367614/4223847 = -11.21432996981188 rat: replaced 4.706948497905595 by 45879366/9747157 = 4.706948497905595 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.6976423128277895 by -303530097/45318947 = -6.6976423128277895 rat: replaced 11.214329969811859 by 47367614/4223847 = 11.21432996981188 rat: replaced -4.706948497905595 by -45879366/9747157 = -4.706948497905595 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.414693711588826 by 22812293/3556256 = 6.414693711588817 rat: replaced -11.18424634292725 by -96045901/8587606 = -11.184246342927237 rat: replaced 5.67846267385099 by 37563871/6615148 = 5.678462673850985 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.414693711588826 by -22812293/3556256 = -6.414693711588817 rat: replaced 11.18424634292725 by 96045901/8587606 = 11.184246342927237 rat: replaced -5.67846267385099 by -37563871/6615148 = -5.678462673850985 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.542934444060257 by 68083669/10405678 = 6.542934444060252 rat: replaced -11.94591959472891 by -15205089/1272827 = -11.945919594728899 rat: replaced 5.094882627997927 by 56455997/11080922 = 5.094882627997923 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.542934444060257 by -68083669/10405678 = -6.542934444060252 rat: replaced 11.94591959472891 by 15205089/1272827 = 11.945919594728899 rat: replaced -5.094882627997927 by -56455997/11080922 = -5.094882627997923 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.60586220477978 by 9392347/1421820 = 6.60586220477979 rat: replaced -11.909754753210928 by -89693161/7531067 = -11.909754753210933 rat: replaced 4.829441608580976 by 22675286/4695219 = 4.829441608580984 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.60586220477978 by -9392347/1421820 = -6.60586220477979 rat: replaced 11.909754753210928 by 89693161/7531067 = 11.909754753210933 rat: replaced -4.829441608580976 by -22675286/4695219 = -4.829441608580984 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.001427161340722 by 45928487/6559875 = 7.001427161340727 rat: replaced -11.680977957680783 by -75693146/6480035 = -11.680977957680785 rat: replaced 4.940060217776887 by 32022157/6482139 = 4.940060217776879 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.001427161340722 by -45928487/6559875 = -7.001427161340727 rat: replaced 11.680977957680783 by 75693146/6480035 = 11.680977957680785 rat: replaced -4.940060217776887 by -32022157/6482139 = -4.940060217776879 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.959400242778643 by 27271318/4576185 = 5.9594002427786466 rat: replaced -11.781655912067055 by -49708279/4219125 = -11.781655912067075 rat: replaced 4.793572167114952 by 54664550/11403719 = 4.793572167114956 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.959400242778643 by -27271318/4576185 = -5.9594002427786466 rat: replaced 11.781655912067055 by 49708279/4219125 = 11.781655912067075 rat: replaced -4.793572167114952 by -54664550/11403719 = -4.793572167114956 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.902219502848551 by 52736709/8935064 = 5.902219502848553 rat: replaced -11.641518050282773 by -178753193/15354801 = -11.641518050282775 rat: replaced 5.069747309838407 by 32907091/6490874 = 5.069747309838398 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.902219502848551 by -52736709/8935064 = -5.902219502848553 rat: replaced 11.641518050282773 by 178753193/15354801 = 11.641518050282775 rat: replaced -5.069747309838407 by -32907091/6490874 = -5.069747309838398 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.634733483119214 by 35961463/5420182 = 6.634733483119201 rat: replaced -11.891233134126601 by -32463007/2729995 = -11.891233134126619 rat: replaced 5.032044864675394 by 38316722/7614543 = 5.032044864675398 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.634733483119214 by -35961463/5420182 = -6.634733483119201 rat: replaced 11.891233134126601 by 32463007/2729995 = 11.891233134126619 rat: replaced -5.032044864675394 by -38316722/7614543 = -5.032044864675398 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.212489831686918 by 92202351/14841449 = 6.21248983168692 rat: replaced -11.80235140382843 by -102258771/8664271 = -11.802351403828435 rat: replaced 5.278526854125949 by 44806923/8488528 = 5.278526854125945 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.212489831686918 by -92202351/14841449 = -6.21248983168692 rat: replaced 11.80235140382843 by 102258771/8664271 = 11.802351403828435 rat: replaced -5.278526854125949 by -44806923/8488528 = -5.278526854125945 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.5801002510900055 by 66899037/10166872 = 6.580100251090011 rat: replaced -12.019204166884862 by -29836833/2482430 = -12.019204166884867 rat: replaced 5.112810255603024 by 50474803/9872223 = 5.112810255603018 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.5801002510900055 by -66899037/10166872 = -6.580100251090011 rat: replaced 12.019204166884862 by 29836833/2482430 = 12.019204166884867 rat: replaced -5.112810255603024 by -50474803/9872223 = -5.112810255603018 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.149800906494061 by 64692394/10519429 = 6.149800906494069 rat: replaced -12.466435013252466 by -104397567/8374292 = -12.466435013252463 rat: replaced 5.408596779076355 by 47844631/8846034 = 5.408596779076364 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.149800906494061 by -64692394/10519429 = -6.149800906494069 rat: replaced 12.466435013252466 by 104397567/8374292 = 12.466435013252463 rat: replaced -5.408596779076355 by -47844631/8846034 = -5.408596779076364 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.873951685806389 by 64620018/11001115 = 5.873951685806393 rat: replaced -11.822739152016116 by -58759853/4970071 = -11.822739152016139 rat: replaced 4.963311395318322 by 49170037/9906700 = 4.96331139531832 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.873951685806389 by -64620018/11001115 = -5.873951685806393 rat: replaced 11.822739152016116 by 58759853/4970071 = 11.822739152016139 rat: replaced -4.963311395318322 by -49170037/9906700 = -4.96331139531832 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.062633330661148 by 33048645/5451203 = 6.06263333066114 rat: replaced -11.590243025792466 by -51530093/4445989 = -11.59024302579246 rat: replaced 5.820892249758152 by 28803655/4948323 = 5.820892249758151 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.062633330661148 by -33048645/5451203 = -6.06263333066114 rat: replaced 11.590243025792466 by 51530093/4445989 = 11.59024302579246 rat: replaced -5.820892249758152 by -28803655/4948323 = -5.820892249758151 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.124570113087929 by 31824087/5196134 = 6.124570113087922 rat: replaced -11.807779803054462 by -172625915/14619676 = -11.807779803054459 rat: replaced 4.921738521218858 by 98491208/20011467 = 4.92173852121886 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.124570113087929 by -31824087/5196134 = -6.124570113087922 rat: replaced 11.807779803054462 by 172625915/14619676 = 11.807779803054459 rat: replaced -4.921738521218858 by -98491208/20011467 = -4.92173852121886 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.503486868011251 by 30141548/4634675 = 6.503486868011241 rat: replaced -11.513420110247395 by -942959377/81900892 = -11.513420110247395 rat: replaced 4.942626474476666 by 33860209/6850651 = 4.9426264744766595 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.503486868011251 by -30141548/4634675 = -6.503486868011241 rat: replaced 11.513420110247395 by 942959377/81900892 = 11.513420110247395 rat: replaced -4.942626474476666 by -33860209/6850651 = -4.9426264744766595 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.220005449132891 by 34015717/5468760 = 6.220005449132893 rat: replaced -12.197770927692442 by -234681002/19239663 = -12.197770927692444 rat: replaced 4.993322963048608 by 19089988/3823103 = 4.993322963048602 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.220005449132891 by -34015717/5468760 = -6.220005449132893 rat: replaced 12.197770927692442 by 234681002/19239663 = 12.197770927692444 rat: replaced -4.993322963048608 by -19089988/3823103 = -4.993322963048602 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.098941833540327 by 28633428/4694819 = 6.0989418335403345 rat: replaced -11.77313066156271 by -70147503/5958271 = -11.773130661562725 rat: replaced 5.041951822815057 by 81020465/16069266 = 5.041951822815056 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.098941833540327 by -28633428/4694819 = -6.0989418335403345 rat: replaced 11.77313066156271 by 70147503/5958271 = 11.773130661562725 rat: replaced -5.041951822815057 by -81020465/16069266 = -5.041951822815056 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.384256283236034 by 99226850/15542429 = 6.384256283236037 rat: replaced -11.938521478572154 by -127070053/10643701 = -11.938521478572163 rat: replaced 5.871736703574426 by 67645466/11520521 = 5.87173670357443 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.384256283236034 by -99226850/15542429 = -6.384256283236037 rat: replaced 11.938521478572154 by 127070053/10643701 = 11.938521478572163 rat: replaced -5.871736703574426 by -67645466/11520521 = -5.87173670357443 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.402025159148298 by 38801759/6060857 = 6.402025159148286 rat: replaced -12.224857199354513 by -89271873/7302488 = -12.22485719935452 rat: replaced 5.63835302724854 by 46872435/8313143 = 5.638353027248539 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.402025159148298 by -38801759/6060857 = -6.402025159148286 rat: replaced 12.224857199354513 by 89271873/7302488 = 12.22485719935452 rat: replaced -5.63835302724854 by -46872435/8313143 = -5.638353027248539 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.16988981821686 by 55245323/8954021 = 6.169889818216866 rat: replaced -11.854755350180362 by -33679111/2840979 = -11.854755350180342 rat: replaced 5.383732627052119 by 19101338/3547973 = 5.383732627052122 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.16988981821686 by -55245323/8954021 = -6.169889818216866 rat: replaced 11.854755350180362 by 33679111/2840979 = 11.854755350180342 rat: replaced -5.383732627052119 by -19101338/3547973 = -5.383732627052122 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.117956698901429 by 74821136/12229759 = 6.117956698901426 rat: replaced -12.25751871187802 by -142658678/11638463 = -12.25751871187802 rat: replaced 5.284801409857951 by 40897239/7738652 = 5.284801409857944 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.117956698901429 by -74821136/12229759 = -6.117956698901426 rat: replaced 12.25751871187802 by 142658678/11638463 = 12.25751871187802 rat: replaced -5.284801409857951 by -40897239/7738652 = -5.284801409857944 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.660595416021413 by 39921331/5993658 = 6.660595416021401 rat: replaced -11.791824963301007 by -29520539/2503475 = -11.791824963301012 rat: replaced 5.544885102060121 by 33011479/5953501 = 5.544885102060116 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.660595416021413 by -39921331/5993658 = -6.660595416021401 rat: replaced 11.791824963301007 by 29520539/2503475 = 11.791824963301012 rat: replaced -5.544885102060121 by -33011479/5953501 = -5.544885102060116 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.086636254835277 by 26644025/4377463 = 6.086636254835278 rat: replaced -11.521314535860524 by -20168280/1750519 = -11.521314535860508 rat: replaced 5.576473643414987 by 28194779/5056023 = 5.576473643414992 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.086636254835277 by -26644025/4377463 = -6.086636254835278 rat: replaced 11.521314535860524 by 20168280/1750519 = 11.521314535860508 rat: replaced -5.576473643414987 by -28194779/5056023 = -5.576473643414992 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.185731889696772 by 69086825/11168739 = 6.185731889696769 rat: replaced -11.954264790609873 by -66146629/5533308 = -11.954264790609885 rat: replaced 5.466456968831676 by 217244161/39741310 = 5.466456968831677 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.185731889696772 by -69086825/11168739 = -6.185731889696769 rat: replaced 11.954264790609873 by 66146629/5533308 = 11.954264790609885 rat: replaced -5.466456968831676 by -217244161/39741310 = -5.466456968831677 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.622318872688297 by 48369096/8603051 = 5.6223188726883055 rat: replaced -11.60445869905635 by -43833928/3777335 = -11.604458699056345 rat: replaced 5.293975971404046 by 54760051/10343842 = 5.293975971404049 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.622318872688297 by -48369096/8603051 = -5.6223188726883055 rat: replaced 11.60445869905635 by 43833928/3777335 = 11.604458699056345 rat: replaced -5.293975971404046 by -54760051/10343842 = -5.293975971404049 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.421756022348546 by 52211869/8130466 = 6.421756022348535 rat: replaced -12.067743136933405 by -12733605/1055177 = -12.067743136933425 rat: replaced 6.006617028594463 by 32378585/5390486 = 6.006617028594453 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.421756022348546 by -52211869/8130466 = -6.421756022348535 rat: replaced 12.067743136933405 by 12733605/1055177 = 12.067743136933425 rat: replaced -6.006617028594463 by -32378585/5390486 = -6.006617028594453 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.742607102923364 by 51003924/8881667 = 5.742607102923359 rat: replaced -11.769461199159638 by -62159609/5281432 = -11.769461199159622 rat: replaced 5.760164134880294 by 51648673/8966528 = 5.760164134880301 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.742607102923364 by -51003924/8881667 = -5.742607102923359 rat: replaced 11.769461199159638 by 62159609/5281432 = 11.769461199159622 rat: replaced -5.760164134880294 by -51648673/8966528 = -5.760164134880301 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.184763347508505 by 101209261/16364290 = 6.1847633475085075 rat: replaced -12.259470360345373 by -201989743/16476221 = -12.259470360345373 rat: replaced 5.137118233576132 by 11990635/2334117 = 5.137118233576123 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.184763347508505 by -101209261/16364290 = -6.1847633475085075 rat: replaced 12.259470360345373 by 201989743/16476221 = 12.259470360345373 rat: replaced -5.137118233576132 by -11990635/2334117 = -5.137118233576123 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.355123142113081 by 30430681/4788370 = 6.3551231421130785 rat: replaced -11.772398774736951 by -63801351/5419571 = -11.772398774736967 rat: replaced 5.100515083284582 by 55603459/10901538 = 5.100515083284579 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.355123142113081 by -30430681/4788370 = -6.3551231421130785 rat: replaced 11.772398774736951 by 63801351/5419571 = 11.772398774736967 rat: replaced -5.100515083284582 by -55603459/10901538 = -5.100515083284579 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.128543837813398 by 21365066/3486157 = 6.128543837813386 rat: replaced -11.478113118284758 by -73125578/6370871 = -11.478113118284769 rat: replaced 4.868513900814992 by 37068933/7614014 = 4.868513900814997 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.128543837813398 by -21365066/3486157 = -6.128543837813386 rat: replaced 11.478113118284758 by 73125578/6370871 = 11.478113118284769 rat: replaced -4.868513900814992 by -37068933/7614014 = -4.868513900814997 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.243008169347392 by 60623917/9710690 = 6.243008169347389 rat: replaced -11.734581570567434 by -83646902/7128239 = -11.734581570567428 rat: replaced 5.147920798545952 by 127842626/24833837 = 5.147920798545952 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.243008169347392 by -60623917/9710690 = -6.243008169347389 rat: replaced 11.734581570567434 by 83646902/7128239 = 11.734581570567428 rat: replaced -5.147920798545952 by -127842626/24833837 = -5.147920798545952 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.14163440847427 by 97087749/15808129 = 6.141634408474273 rat: replaced -11.241620309926166 by -45867306/4080133 = -11.241620309926171 rat: replaced 5.111618175241571 by 37703357/7376012 = 5.11161817524158 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.14163440847427 by -97087749/15808129 = -6.141634408474273 rat: replaced 11.241620309926166 by 45867306/4080133 = 11.241620309926171 rat: replaced -5.111618175241571 by -37703357/7376012 = -5.11161817524158 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.9671578453142 by 117331264/19662839 = 5.967157845314199 rat: replaced -11.475379273465993 by -49636076/4325441 = -11.47537927346599 rat: replaced 5.005177513521912 by 96120425/19204199 = 5.005177513521913 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.9671578453142 by -117331264/19662839 = -5.967157845314199 rat: replaced 11.475379273465993 by 49636076/4325441 = 11.47537927346599 rat: replaced -5.005177513521912 by -96120425/19204199 = -5.005177513521913 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.773266273298468 by 289339265/50117083 = 5.773266273298468 rat: replaced -12.342542844049843 by -95534034/7740223 = -12.342542844049841 rat: replaced 5.158674299106261 by 102821489/19931766 = 5.158674299106261 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.773266273298468 by -289339265/50117083 = -5.773266273298468 rat: replaced 12.342542844049843 by 95534034/7740223 = 12.342542844049841 rat: replaced -5.158674299106261 by -102821489/19931766 = -5.158674299106261 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.37942678097583 by 47736383/7482864 = 6.37942678097584 rat: replaced -11.613147536043526 by -4932847/424764 = -11.613147536043543 rat: replaced 5.074733777389001 by 27806207/5479343 = 5.074733777389005 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.37942678097583 by -47736383/7482864 = -6.37942678097584 rat: replaced 11.613147536043526 by 4932847/424764 = 11.613147536043543 rat: replaced -5.074733777389001 by -27806207/5479343 = -5.074733777389005 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.5315248527845045 by 5118854/783715 = 6.531524852784495 rat: replaced -11.837501660555931 by -102563275/8664267 = -11.837501660555937 rat: replaced 5.6891333035585 by 14623371/2570404 = 5.689133303558506 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.5315248527845045 by -5118854/783715 = -6.531524852784495 rat: replaced 11.837501660555931 by 102563275/8664267 = 11.837501660555937 rat: replaced -5.6891333035585 by -14623371/2570404 = -5.689133303558506 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.4597286379533365 by 108792379/16841633 = 6.459728637953338 rat: replaced -11.864630206795448 by -60714623/5117279 = -11.864630206795447 rat: replaced 5.222371724005341 by 36426142/6975019 = 5.22237172400534 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.4597286379533365 by -108792379/16841633 = -6.459728637953338 rat: replaced 11.864630206795448 by 60714623/5117279 = 11.864630206795447 rat: replaced -5.222371724005341 by -36426142/6975019 = -5.22237172400534 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.2850348750034115 by 59303691/9435698 = 6.285034875003418 rat: replaced -11.71943344804299 by -114654159/9783251 = -11.719433448042986 rat: replaced 4.915338183725674 by 85626710/17420309 = 4.915338183725673 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.2850348750034115 by -59303691/9435698 = -6.285034875003418 rat: replaced 11.71943344804299 by 114654159/9783251 = 11.719433448042986 rat: replaced -4.915338183725674 by -85626710/17420309 = -4.915338183725673 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.866920713267665 by 17848487/3042224 = 5.866920713267662 rat: replaced -11.737818612208162 by -40918693/3486056 = -11.73781861220818 rat: replaced 5.1933207313279635 by 33641319/6477805 = 5.193320731327973 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.866920713267665 by -17848487/3042224 = -5.866920713267662 rat: replaced 11.737818612208162 by 40918693/3486056 = 11.73781861220818 rat: replaced -5.1933207313279635 by -33641319/6477805 = -5.193320731327973 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.333850435541641 by 19446916/3070315 = 6.33385043554163 rat: replaced -11.97850689217883 by -346356179/28914804 = -11.97850689217883 rat: replaced 4.883260628478757 by 52940996/10841321 = 4.883260628478762 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.333850435541641 by -19446916/3070315 = -6.33385043554163 rat: replaced 11.97850689217883 by 346356179/28914804 = 11.97850689217883 rat: replaced -4.883260628478757 by -52940996/10841321 = -4.883260628478762 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.656833009282562 by 51469388/7731813 = 6.656833009282558 rat: replaced -11.541133652191315 by -23671673/2051070 = -11.541133652191295 rat: replaced 6.0310258603800335 by 46268203/7671697 = 6.031025860380043 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.656833009282562 by -51469388/7731813 = -6.656833009282558 rat: replaced 11.541133652191315 by 23671673/2051070 = 11.541133652191295 rat: replaced -6.0310258603800335 by -46268203/7671697 = -6.031025860380043 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.434746352587077 by 34685831/5390396 = 6.434746352587083 rat: replaced -11.487774488642753 by -49087157/4272991 = -11.487774488642733 rat: replaced 5.387320811004467 by 42315013/7854556 = 5.387320811004467 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.434746352587077 by -34685831/5390396 = -6.434746352587083 rat: replaced 11.487774488642753 by 49087157/4272991 = 11.487774488642733 rat: replaced -5.387320811004467 by -42315013/7854556 = -5.387320811004467 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.411364090708309 by 50960798/7948511 = 6.41136409070831 rat: replaced -12.468492359594277 by -39856259/3196558 = -12.468492359594288 rat: replaced 4.8240733027372755 by 60399091/12520351 = 4.824073302737279 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.411364090708309 by -50960798/7948511 = -6.41136409070831 rat: replaced 12.468492359594277 by 39856259/3196558 = 12.468492359594288 rat: replaced -4.8240733027372755 by -60399091/12520351 = -4.824073302737279 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.419814455981635 by 23943860/3729681 = 6.419814455981625 rat: replaced -12.108142052793955 by -49061005/4051902 = -12.108142052793971 rat: replaced 5.459816601509578 by 176252309/32281727 = 5.459816601509578 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.419814455981635 by -23943860/3729681 = -6.419814455981625 rat: replaced 12.108142052793955 by 49061005/4051902 = 12.108142052793971 rat: replaced -5.459816601509578 by -176252309/32281727 = -5.459816601509578 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.356885719000459 by 59132482/9302115 = 6.356885719000464 rat: replaced -11.122081601291509 by -14894903/1339219 = -11.1220816012915 rat: replaced 5.222537602142037 by 48535930/9293553 = 5.222537602142044 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.356885719000459 by -59132482/9302115 = -6.356885719000464 rat: replaced 11.122081601291509 by 14894903/1339219 = 11.1220816012915 rat: replaced -5.222537602142037 by -48535930/9293553 = -5.222537602142044 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.8100914952634675 by 38390808/5637341 = 6.810091495263459 rat: replaced -12.122254256679922 by -97508613/8043769 = -12.122254256679922 rat: replaced 5.156389081632359 by 31456598/6100509 = 5.156389081632368 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.8100914952634675 by -38390808/5637341 = -6.810091495263459 rat: replaced 12.122254256679922 by 97508613/8043769 = 12.122254256679922 rat: replaced -5.156389081632359 by -31456598/6100509 = -5.156389081632368 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.765972281300018 by 395514037/58456349 = 6.765972281300018 rat: replaced -11.2016840712102 by -53117949/4741961 = -11.201684071210202 rat: replaced 6.18705908983012 by 60652724/9803159 = 6.187059089830125 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.765972281300018 by -395514037/58456349 = -6.765972281300018 rat: replaced 11.2016840712102 by 53117949/4741961 = 11.201684071210202 rat: replaced -6.18705908983012 by -60652724/9803159 = -6.187059089830125 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.460242762135534 by 87422208/13532341 = 6.460242762135539 rat: replaced -11.796776305811287 by -106869757/9059234 = -11.796776305811287 rat: replaced 5.391509196355782 by 253453273/47009708 = 5.391509196355782 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.460242762135534 by -87422208/13532341 = -6.460242762135539 rat: replaced 11.796776305811287 by 106869757/9059234 = 11.796776305811287 rat: replaced -5.391509196355782 by -253453273/47009708 = -5.391509196355782 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.671371453036751 by 30182532/4524187 = 6.671371453036755 rat: replaced -11.891317936713353 by -69872968/5875965 = -11.891317936713374 rat: replaced 5.53883612221151 by 24642509/4449041 = 5.538836122211506 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.671371453036751 by -30182532/4524187 = -6.671371453036755 rat: replaced 11.891317936713353 by 69872968/5875965 = 11.891317936713374 rat: replaced -5.53883612221151 by -24642509/4449041 = -5.538836122211506 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.677473055018125 by 62787371/9402864 = 6.6774730550181305 rat: replaced -11.809207729672973 by -17307256/1465573 = -11.809207729672968 rat: replaced 5.939524461175169 by 79079779/13314160 = 5.93952446117517 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.677473055018125 by -62787371/9402864 = -6.6774730550181305 rat: replaced 11.809207729672973 by 17307256/1465573 = 11.809207729672968 rat: replaced -5.939524461175169 by -79079779/13314160 = -5.93952446117517 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.2664215632566656 by 9151081/1460336 = 6.266421563256675 rat: replaced -11.685615026333343 by -51961805/4446647 = -11.685615026333325 rat: replaced 5.60705210736612 by 83969177/14975637 = 5.607052107366117 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.2664215632566656 by -9151081/1460336 = -6.266421563256675 rat: replaced 11.685615026333343 by 51961805/4446647 = 11.685615026333325 rat: replaced -5.60705210736612 by -83969177/14975637 = -5.607052107366117 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.030250881361481 by 28414711/4712028 = 6.030250881361486 rat: replaced -12.14685371274262 by -56289504/4634081 = -12.146853712742613 rat: replaced 5.044821278280321 by 56134811/11127215 = 5.044821278280325 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.030250881361481 by -28414711/4712028 = -6.030250881361486 rat: replaced 12.14685371274262 by 56289504/4634081 = 12.146853712742613 rat: replaced -5.044821278280321 by -56134811/11127215 = -5.044821278280325 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.76118743017411 by 35046135/5183429 = 6.761187430174118 rat: replaced -12.182499025219553 by -55083547/4521531 = -12.182499025219554 rat: replaced 5.296251272927534 by 82521998/15581209 = 5.296251272927537 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.76118743017411 by -35046135/5183429 = -6.761187430174118 rat: replaced 12.182499025219553 by 55083547/4521531 = 12.182499025219554 rat: replaced -5.296251272927534 by -82521998/15581209 = -5.296251272927537 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.576731264273382 by 69553037/10575624 = 6.5767312642733895 rat: replaced -12.11698414960455 by -51610949/4259389 = -12.116984149604557 rat: replaced 5.530902967155726 by 10759437/1945331 = 5.530902967155718 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.576731264273382 by -69553037/10575624 = -6.5767312642733895 rat: replaced 12.11698414960455 by 51610949/4259389 = 12.116984149604557 rat: replaced -5.530902967155726 by -10759437/1945331 = -5.530902967155718 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.531879951242146 by 58939550/9023367 = 6.531879951242147 rat: replaced -12.220488829156379 by -114477751/9367690 = -12.220488829156388 rat: replaced 5.297967458973928 by 42863015/8090464 = 5.297967458973923 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.531879951242146 by -58939550/9023367 = -6.531879951242147 rat: replaced 12.220488829156379 by 114477751/9367690 = 12.220488829156388 rat: replaced -5.297967458973928 by -42863015/8090464 = -5.297967458973923 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.749181809817113 by 51052539/7564256 = 6.749181809817119 rat: replaced -11.978613739522125 by -249026779/20789282 = -11.978613739522125 rat: replaced 5.546209373575191 by 68546184/12359105 = 5.5462093735751905 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.749181809817113 by -51052539/7564256 = -6.749181809817119 rat: replaced 11.978613739522125 by 249026779/20789282 = 11.978613739522125 rat: replaced -5.546209373575191 by -68546184/12359105 = -5.5462093735751905 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.892679739014984 by 13606775/2309098 = 5.892679739014975 rat: replaced -11.761139371438937 by -523707741/44528657 = -11.761139371438937 rat: replaced 5.534609873030617 by 47833613/8642635 = 5.534609873030621 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.892679739014984 by -13606775/2309098 = -5.892679739014975 rat: replaced 11.761139371438937 by 523707741/44528657 = 11.761139371438937 rat: replaced -5.534609873030617 by -47833613/8642635 = -5.534609873030621 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.8887865358497145 by 61088393/10373681 = 5.8887865358497145 rat: replaced -11.817455181040481 by -65460914/5539341 = -11.817455181040488 rat: replaced 5.297963773566477 by 185723977/35055728 = 5.297963773566477 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.8887865358497145 by -61088393/10373681 = -5.8887865358497145 rat: replaced 11.817455181040481 by 65460914/5539341 = 11.817455181040488 rat: replaced -5.297963773566477 by -185723977/35055728 = -5.297963773566477 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.387359665774899 by 87815586/13748339 = 6.387359665774898 rat: replaced -11.781704206474986 by -86823820/7369377 = -11.781704206474984 rat: replaced 5.6373015409759475 by 386313/68528 = 5.637301540975951 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.387359665774899 by -87815586/13748339 = -6.387359665774898 rat: replaced 11.781704206474986 by 86823820/7369377 = 11.781704206474984 rat: replaced -5.6373015409759475 by -386313/68528 = -5.637301540975951 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.234134186793641 by 98749577/15840143 = 6.234134186793642 rat: replaced -12.4535341333736 by -50918902/4088711 = -12.453534133373575 rat: replaced 5.552533333530058 by 30107185/5422243 = 5.552533333530054 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.234134186793641 by -98749577/15840143 = -6.234134186793642 rat: replaced 12.4535341333736 by 50918902/4088711 = 12.453534133373575 rat: replaced -5.552533333530058 by -30107185/5422243 = -5.552533333530054 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.825624887163082 by 44755637/7682547 = 5.825624887163072 rat: replaced -12.322465712206572 by -19084160/1548729 = -12.32246571220659 rat: replaced 5.913492156866381 by 41366220/6995227 = 5.913492156866389 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.825624887163082 by -44755637/7682547 = -5.825624887163072 rat: replaced 12.322465712206572 by 19084160/1548729 = 12.32246571220659 rat: replaced -5.913492156866381 by -41366220/6995227 = -5.913492156866389 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.922917974130634 by 19646362/2837873 = 6.922917974130625 rat: replaced -12.036794040752143 by -31021683/2577238 = -12.036794040752154 rat: replaced 5.5547365637948936 by 36997284/6660493 = 5.554736563794902 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.922917974130634 by -19646362/2837873 = -6.922917974130625 rat: replaced 12.036794040752143 by 31021683/2577238 = 12.036794040752154 rat: replaced -5.5547365637948936 by -36997284/6660493 = -5.554736563794902 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.616589802865197 by 43702397/6604973 = 6.616589802865205 rat: replaced -12.477787118117577 by -56300886/4512089 = -12.477787118117572 rat: replaced 5.601877810970931 by 77171099/13775934 = 5.6018778109709295 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.616589802865197 by -43702397/6604973 = -6.616589802865205 rat: replaced 12.477787118117577 by 56300886/4512089 = 12.477787118117572 rat: replaced -5.601877810970931 by -77171099/13775934 = -5.6018778109709295 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.142452644531086 by 48846964/7952355 = 6.142452644531086 rat: replaced -12.090319479404402 by -255518033/21134101 = -12.0903194794044 rat: replaced 4.928239262972723 by 41370001/8394479 = 4.928239262972723 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.142452644531086 by -48846964/7952355 = -6.142452644531086 rat: replaced 12.090319479404402 by 255518033/21134101 = 12.0903194794044 rat: replaced -4.928239262972723 by -41370001/8394479 = -4.928239262972723 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.864288668196406 by 186004933/31718243 = 5.864288668196407 rat: replaced -11.989658505705584 by -85532809/7133882 = -11.98965850570559 rat: replaced 5.4951880252074305 by 28236073/5138327 = 5.495188025207426 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.864288668196406 by -186004933/31718243 = -5.864288668196407 rat: replaced 11.989658505705584 by 85532809/7133882 = 11.98965850570559 rat: replaced -5.4951880252074305 by -28236073/5138327 = -5.495188025207426 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.38714429776579 by 94049301/14724781 = 6.387144297765786 rat: replaced -11.964163409335525 by -99565732/8321997 = -11.964163409335523 rat: replaced 5.859287543470234 by 171798049/29320638 = 5.859287543470234 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.38714429776579 by -94049301/14724781 = -6.387144297765786 rat: replaced 11.964163409335525 by 99565732/8321997 = 11.964163409335523 rat: replaced -5.859287543470234 by -171798049/29320638 = -5.859287543470234 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.326437769336377 by 28241098/4463981 = 6.326437769336384 rat: replaced -12.313760878549145 by -29290115/2378649 = -12.313760878549125 rat: replaced 5.285294542747026 by 24134769/4566400 = 5.285294542747022 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.326437769336377 by -28241098/4463981 = -6.326437769336384 rat: replaced 12.313760878549145 by 29290115/2378649 = 12.313760878549125 rat: replaced -5.285294542747026 by -24134769/4566400 = -5.285294542747022 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.119059721945506 by 82555025/13491456 = 6.119059721945504 rat: replaced -12.226143553569749 by -89716285/7338069 = -12.226143553569747 rat: replaced 5.450080335320475 by 43618786/8003329 = 5.4500803353204645 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.119059721945506 by -82555025/13491456 = -6.119059721945504 rat: replaced 12.226143553569749 by 89716285/7338069 = 12.226143553569747 rat: replaced -5.450080335320475 by -43618786/8003329 = -5.4500803353204645 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.2268286154462285 by 30474971/4894140 = 6.226828615446228 rat: replaced -12.174871456503126 by -38176854/3135709 = -12.174871456503139 rat: replaced 4.929050058302289 by 37786497/7666081 = 4.92905005830228 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.2268286154462285 by -30474971/4894140 = -6.226828615446228 rat: replaced 12.174871456503126 by 38176854/3135709 = 12.174871456503139 rat: replaced -4.929050058302289 by -37786497/7666081 = -4.92905005830228 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.838988017697898 by 88776753/12980978 = 6.838988017697896 rat: replaced -12.190243242348124 by -64411112/5283825 = -12.19024324234811 rat: replaced 6.171076903380945 by 22173173/3593080 = 6.171076903380944 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.838988017697898 by -88776753/12980978 = -6.838988017697896 rat: replaced 12.190243242348124 by 64411112/5283825 = 12.19024324234811 rat: replaced -6.171076903380945 by -22173173/3593080 = -6.171076903380944 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.473707499135276 by 41755135/6449957 = 6.473707499135266 rat: replaced -12.168011600409166 by -27800828/2284747 = -12.168011600409148 rat: replaced 5.148550742058551 by 101725462/19758077 = 5.148550742058552 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.473707499135276 by -41755135/6449957 = -6.473707499135266 rat: replaced 12.168011600409166 by 27800828/2284747 = 12.168011600409148 rat: replaced -5.148550742058551 by -101725462/19758077 = -5.148550742058552 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.719028276347508 by 35767289/5323283 = 6.71902827634751 rat: replaced -12.052648296537388 by -21211287/1759886 = -12.05264829653739 rat: replaced 4.77628384168703 by 89794141/18800001 = 4.77628384168703 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.719028276347508 by -35767289/5323283 = -6.71902827634751 rat: replaced 12.052648296537388 by 21211287/1759886 = 12.05264829653739 rat: replaced -4.77628384168703 by -89794141/18800001 = -4.77628384168703 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.36333680427848 by 40155716/6310481 = 6.363336804278469 rat: replaced -12.742376884621839 by -104833841/8227181 = -12.74237688462184 rat: replaced 5.377632848094801 by 214681137/39921122 = 5.377632848094801 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.36333680427848 by -40155716/6310481 = -6.363336804278469 rat: replaced 12.742376884621839 by 104833841/8227181 = 12.74237688462184 rat: replaced -5.377632848094801 by -214681137/39921122 = -5.377632848094801 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.770737694654575 by 97710337/14431269 = 6.7707376946545725 rat: replaced -11.912993270164979 by -28152881/2363208 = -11.912993270164963 rat: replaced 5.247092136925434 by 48719686/9285083 = 5.247092136925432 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.770737694654575 by -97710337/14431269 = -6.7707376946545725 rat: replaced 11.912993270164979 by 28152881/2363208 = 11.912993270164963 rat: replaced -5.247092136925434 by -48719686/9285083 = -5.247092136925432 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.308726912915775 by 16035112/2541735 = 6.308726912915784 rat: replaced -11.879407356983924 by -38532509/3243639 = -11.879407356983931 rat: replaced 5.559583379534575 by 26724189/4806869 = 5.559583379534579 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.308726912915775 by -16035112/2541735 = -6.308726912915784 rat: replaced 11.879407356983924 by 38532509/3243639 = 11.879407356983931 rat: replaced -5.559583379534575 by -26724189/4806869 = -5.559583379534579 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.4900528626822584 by 138731039/21375949 = 6.49005286268226 rat: replaced -12.667415338870665 by -198007270/15631229 = -12.667415338870667 rat: replaced 5.5072939900998135 by 35863526/6512005 = 5.507293990099823 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.4900528626822584 by -138731039/21375949 = -6.49005286268226 rat: replaced 12.667415338870665 by 198007270/15631229 = 12.667415338870667 rat: replaced -5.5072939900998135 by -35863526/6512005 = -5.507293990099823 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.732796045249834 by 105220076/15627991 = 6.732796045249834 rat: replaced -12.301030238691446 by -38018093/3090643 = -12.30103023869143 rat: replaced 5.361253869026909 by 24665199/4600640 = 5.361253869026918 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.732796045249834 by -105220076/15627991 = -6.732796045249834 rat: replaced 12.301030238691446 by 38018093/3090643 = 12.30103023869143 rat: replaced -5.361253869026909 by -24665199/4600640 = -5.361253869026918 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.256330983898911 by 73213143/11702249 = 6.2563309838989065 rat: replaced -12.165744311328973 by -116371999/9565547 = -12.16574431132898 rat: replaced 5.517953932984344 by 355934559/64504808 = 5.517953932984344 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.256330983898911 by -73213143/11702249 = -6.2563309838989065 rat: replaced 12.165744311328973 by 116371999/9565547 = 12.16574431132898 rat: replaced -5.517953932984344 by -355934559/64504808 = -5.517953932984344 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.854804396332722 by 43024831/6276595 = 6.854804396332725 rat: replaced -12.558141740154566 by -38140596/3037121 = -12.558141740154573 rat: replaced 5.372638358379692 by 47547785/8849988 = 5.372638358379695 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.854804396332722 by -43024831/6276595 = -6.854804396332725 rat: replaced 12.558141740154566 by 38140596/3037121 = 12.558141740154573 rat: replaced -5.372638358379692 by -47547785/8849988 = -5.372638358379695 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.611787205429974 by 21916487/3905438 = 5.611787205429967 rat: replaced -11.917789936853158 by -26405401/2215629 = -11.917789936853147 rat: replaced 5.8907939090070816 by 29013185/4925174 = 5.890793909007073 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.611787205429974 by -21916487/3905438 = -5.611787205429967 rat: replaced 11.917789936853158 by 26405401/2215629 = 11.917789936853147 rat: replaced -5.8907939090070816 by -29013185/4925174 = -5.890793909007073 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.883916190609273 by 50443431/7327723 = 6.88391619060928 rat: replaced -11.88105321395274 by -31031113/2611815 = -11.881053213952748 rat: replaced 5.514659660948333 by 57593225/10443659 = 5.5146596609483325 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.883916190609273 by -50443431/7327723 = -6.88391619060928 rat: replaced 11.88105321395274 by 31031113/2611815 = 11.881053213952748 rat: replaced -5.514659660948333 by -57593225/10443659 = -5.5146596609483325 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.67880351384719 by 105862689/15850547 = 6.678803513847188 rat: replaced -12.500130493725782 by -83242419/6659324 = -12.50013049372579 rat: replaced 5.436870534349415 by 87475664/16089341 = 5.436870534349418 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.67880351384719 by -105862689/15850547 = -6.678803513847188 rat: replaced 12.500130493725782 by 83242419/6659324 = 12.50013049372579 rat: replaced -5.436870534349415 by -87475664/16089341 = -5.436870534349418 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.51916308943827 by 72329782/11094949 = 6.519163089438266 rat: replaced -12.19597490852432 by -173385553/14216621 = -12.195974908524326 rat: replaced 5.6939740114222 by 36059573/6332936 = 5.69397401142219 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.51916308943827 by -72329782/11094949 = -6.519163089438266 rat: replaced 12.19597490852432 by 173385553/14216621 = 12.195974908524326 rat: replaced -5.6939740114222 by -36059573/6332936 = -5.69397401142219 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.163774422161914 by 26824999/4352041 = 6.163774422161923 rat: replaced -12.12205694642417 by -82347036/6793157 = -12.122056946424173 rat: replaced 6.331593595121711 by 29912183/4724274 = 6.3315935951217055 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.163774422161914 by -26824999/4352041 = -6.163774422161923 rat: replaced 12.12205694642417 by 82347036/6793157 = 12.122056946424173 rat: replaced -6.331593595121711 by -29912183/4724274 = -6.3315935951217055 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.282760339561166 by 52382307/8337467 = 6.282760339561164 rat: replaced -12.062639640082875 by -90227869/7479944 = -12.062639640082867 rat: replaced 5.552335067818993 by 28584065/5148116 = 5.5523350678189844 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.282760339561166 by -52382307/8337467 = -6.282760339561164 rat: replaced 12.062639640082875 by 90227869/7479944 = 12.062639640082867 rat: replaced -5.552335067818993 by -28584065/5148116 = -5.5523350678189844 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.6497557335959305 by 44027002/6620845 = 6.6497557335959385 rat: replaced -12.510396339424714 by -65481291/5234150 = -12.510396339424739 rat: replaced 5.625097090240069 by 21566971/3834062 = 5.625097090240064 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.6497557335959305 by -44027002/6620845 = -6.6497557335959385 rat: replaced 12.510396339424714 by 65481291/5234150 = 12.510396339424739 rat: replaced -5.625097090240069 by -21566971/3834062 = -5.625097090240064 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.24622040397724 by 52182999/8354332 = 6.246220403977242 rat: replaced -12.16007558618532 by -59968495/4931589 = -12.160075586185304 rat: replaced 4.890462749945758 by 19021181/3889444 = 4.89046274994575 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.24622040397724 by -52182999/8354332 = -6.246220403977242 rat: replaced 12.16007558618532 by 59968495/4931589 = 12.160075586185304 rat: replaced -4.890462749945758 by -19021181/3889444 = -4.89046274994575 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.69893875798738 by 164590929/24569702 = 6.698938757987378 rat: replaced -12.11926799158246 by -447893193/36957116 = -12.11926799158246 rat: replaced 5.48961563436582 by 36056317/6568095 = 5.4896156343658244 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.69893875798738 by -164590929/24569702 = -6.698938757987378 rat: replaced 12.11926799158246 by 447893193/36957116 = 12.11926799158246 rat: replaced -5.48961563436582 by -36056317/6568095 = -5.4896156343658244 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.55965492493452 by 35499593/5411808 = 6.559654924934514 rat: replaced -12.532134242870425 by -42573991/3397186 = -12.532134242870423 rat: replaced 5.458601564991636 by 69796529/12786522 = 5.458601564991637 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.55965492493452 by -35499593/5411808 = -6.559654924934514 rat: replaced 12.532134242870425 by 42573991/3397186 = 12.532134242870423 rat: replaced -5.458601564991636 by -69796529/12786522 = -5.458601564991637 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.722026217710212 by 29735898/4423651 = 6.722026217710213 rat: replaced -12.530682717698493 by -46651218/3722959 = -12.530682717698475 rat: replaced 5.764353461540901 by 118190747/20503730 = 5.7643534615409004 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.722026217710212 by -29735898/4423651 = -6.722026217710213 rat: replaced 12.530682717698493 by 46651218/3722959 = 12.530682717698475 rat: replaced -5.764353461540901 by -118190747/20503730 = -5.7643534615409004 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.90252119295452 by 155201208/22484713 = 6.90252119295452 rat: replaced -12.286112746365369 by -163142389/13278601 = -12.286112746365374 rat: replaced 5.8046471894311376 by 31303847/5392894 = 5.80464718943113 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.90252119295452 by -155201208/22484713 = -6.90252119295452 rat: replaced 12.286112746365369 by 163142389/13278601 = 12.286112746365374 rat: replaced -5.8046471894311376 by -31303847/5392894 = -5.80464718943113 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.680045634166974 by 70573954/10564891 = 6.680045634166978 rat: replaced -12.61953057450666 by -2178490129/172628460 = -12.61953057450666 rat: replaced 5.6480748805052405 by 32639739/5778914 = 5.64807488050523 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.680045634166974 by -70573954/10564891 = -6.680045634166978 rat: replaced 12.61953057450666 by 2178490129/172628460 = 12.61953057450666 rat: replaced -5.6480748805052405 by -32639739/5778914 = -5.64807488050523 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.429895112398075 by 60078503/9343621 = 6.429895112398073 rat: replaced -11.854527374258412 by -4899571/413308 = -11.854527374258423 rat: replaced 5.09003533500903 by 40203130/7898399 = 5.0900353350090315 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.429895112398075 by -60078503/9343621 = -6.429895112398073 rat: replaced 11.854527374258412 by 4899571/413308 = 11.854527374258423 rat: replaced -5.09003533500903 by -40203130/7898399 = -5.0900353350090315 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.647995268555238 by 98377147/14798017 = 6.647995268555239 rat: replaced -12.212912319309849 by -144779398/11854617 = -12.212912319309853 rat: replaced 5.370503488822959 by 76524707/14249075 = 5.370503488822958 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.647995268555238 by -98377147/14798017 = -6.647995268555239 rat: replaced 12.212912319309849 by 144779398/11854617 = 12.212912319309853 rat: replaced -5.370503488822959 by -76524707/14249075 = -5.370503488822958 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.272583819031884 by 45152536/7198395 = 6.2725838190318814 rat: replaced -12.221965174718436 by -6709480/548969 = -12.221965174718427 rat: replaced 5.907393348058818 by 99441527/16833402 = 5.907393348058818 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.272583819031884 by -45152536/7198395 = -6.2725838190318814 rat: replaced 12.221965174718436 by 6709480/548969 = 12.221965174718427 rat: replaced -5.907393348058818 by -99441527/16833402 = -5.907393348058818 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.495292710858063 by 35692939/5495201 = 6.495292710858074 rat: replaced -11.248613812553062 by -55397612/4924839 = -11.24861381255306 rat: replaced 5.603891393868344 by 29752197/5309203 = 5.603891393868345 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.495292710858063 by -35692939/5495201 = -6.495292710858074 rat: replaced 11.248613812553062 by 55397612/4924839 = 11.24861381255306 rat: replaced -5.603891393868344 by -29752197/5309203 = -5.603891393868345 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.103389289872612 by 42669649/6991140 = 6.10338928987261 rat: replaced -11.743391017437514 by -33025598/2812271 = -11.743391017437508 rat: replaced 6.009729399514859 by 8420935/1401217 = 6.009729399514851 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.103389289872612 by -42669649/6991140 = -6.10338928987261 rat: replaced 11.743391017437514 by 33025598/2812271 = 11.743391017437508 rat: replaced -6.009729399514859 by -8420935/1401217 = -6.009729399514851 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.63787096416553 by 8022803/1208641 = 6.637870964165538 rat: replaced -11.920580137296414 by -206124628/17291493 = -11.920580137296415 rat: replaced 5.21544691138021 by 126198873/24197135 = 5.215446911380211 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.63787096416553 by -8022803/1208641 = -6.637870964165538 rat: replaced 11.920580137296414 by 206124628/17291493 = 11.920580137296415 rat: replaced -5.21544691138021 by -126198873/24197135 = -5.215446911380211 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.779655020340113 by 15080807/2224421 = 6.779655020340124 rat: replaced -11.95826495977473 by -241451277/20191163 = -11.958264959774729 rat: replaced 5.556374473442661 by 45050273/8107854 = 5.5563744734426646 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.779655020340113 by -15080807/2224421 = -6.779655020340124 rat: replaced 11.95826495977473 by 241451277/20191163 = 11.958264959774729 rat: replaced -5.556374473442661 by -45050273/8107854 = -5.5563744734426646 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.227048763533201 by 33762691/5421941 = 6.227048763533207 rat: replaced -12.161602663054587 by -154591215/12711418 = -12.161602663054586 rat: replaced 6.097881386504117 by 57725149/9466427 = 6.097881386504116 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.227048763533201 by -33762691/5421941 = -6.227048763533207 rat: replaced 12.161602663054587 by 154591215/12711418 = 12.161602663054586 rat: replaced -6.097881386504117 by -57725149/9466427 = -6.097881386504116 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.763209848480303 by 91223615/13488213 = 6.763209848480299 rat: replaced -11.653848341126707 by -57583471/4941155 = -11.65384834112672 rat: replaced 5.30355836812608 by 133621387/25194667 = 5.30355836812608 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.763209848480303 by -91223615/13488213 = -6.763209848480299 rat: replaced 11.653848341126707 by 57583471/4941155 = 11.65384834112672 rat: replaced -5.30355836812608 by -133621387/25194667 = -5.30355836812608 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.203117210470852 by 152548969/24592308 = 6.203117210470851 rat: replaced -12.29804216181614 by -38076202/3096119 = -12.29804216181613 rat: replaced 5.303881359624565 by 148100136/27922973 = 5.303881359624564 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.203117210470852 by -152548969/24592308 = -6.203117210470851 rat: replaced 12.29804216181614 by 38076202/3096119 = 12.29804216181613 rat: replaced -5.303881359624565 by -148100136/27922973 = -5.303881359624564 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.8357992870978 by 65805273/9626566 = 6.835799287097808 rat: replaced -12.574061628834128 by -156735389/12464977 = -12.574061628834132 rat: replaced 5.506976345657436 by 70119691/12732884 = 5.506976345657433 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.8357992870978 by -65805273/9626566 = -6.835799287097808 rat: replaced 12.574061628834128 by 156735389/12464977 = 12.574061628834132 rat: replaced -5.506976345657436 by -70119691/12732884 = -5.506976345657433 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.422471210038827 by 67660792/10535009 = 6.422471210038833 rat: replaced -11.873471949364838 by -36873174/3105509 = -11.873471949364822 rat: replaced 5.831907319283634 by 92366932/15838203 = 5.8319073192836335 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.422471210038827 by -67660792/10535009 = -6.422471210038833 rat: replaced 11.873471949364838 by 36873174/3105509 = 11.873471949364822 rat: replaced -5.831907319283634 by -92366932/15838203 = -5.8319073192836335 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.570647167418888 by 33459700/5092299 = 6.570647167418881 rat: replaced -12.905301830152105 by -29693125/2300847 = -12.905301830152114 rat: replaced 5.767174606065105 by 15328360/2657863 = 5.767174606065098 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.570647167418888 by -33459700/5092299 = -6.570647167418881 rat: replaced 12.905301830152105 by 29693125/2300847 = 12.905301830152114 rat: replaced -5.767174606065105 by -15328360/2657863 = -5.767174606065098 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.304080083716668 by 38813950/6156957 = 6.304080083716681 rat: replaced -12.253929449571855 by -51187592/4177239 = -12.253929449571835 rat: replaced 5.603484370570471 by 73470528/13111579 = 5.60348437057047 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.304080083716668 by -38813950/6156957 = -6.304080083716681 rat: replaced 12.253929449571855 by 51187592/4177239 = 12.253929449571835 rat: replaced -5.603484370570471 by -73470528/13111579 = -5.60348437057047 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.352187406288066 by 58506225/9210406 = 6.352187406288062 rat: replaced -12.32802079421572 by -154588955/12539641 = -12.32802079421572 rat: replaced 5.765693505082681 by 120670799/20929104 = 5.765693505082683 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.352187406288066 by -58506225/9210406 = -6.352187406288062 rat: replaced 12.32802079421572 by 154588955/12539641 = 12.32802079421572 rat: replaced -5.765693505082681 by -120670799/20929104 = -5.765693505082683 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.597337127855586 by 43480100/6590553 = 6.5973371278555835 rat: replaced -13.09480294562149 by -146405017/11180391 = -13.09480294562149 rat: replaced 5.48119880825947 by 75598141/13792264 = 5.481198808259471 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.597337127855586 by -43480100/6590553 = -6.5973371278555835 rat: replaced 13.09480294562149 by 146405017/11180391 = 13.09480294562149 rat: replaced -5.48119880825947 by -75598141/13792264 = -5.481198808259471 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.649421208112331 by 50775499/7636078 = 6.649421208112332 rat: replaced -13.113261285718892 by -125973987/9606610 = -13.113261285718895 rat: replaced 5.069358934512022 by 36094814/7120193 = 5.069358934512028 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.649421208112331 by -50775499/7636078 = -6.649421208112332 rat: replaced 13.113261285718892 by 125973987/9606610 = 13.113261285718895 rat: replaced -5.069358934512022 by -36094814/7120193 = -5.069358934512028 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.426581575321158 by 51993104/7000947 = 7.426581575321167 rat: replaced -12.072939212177399 by -50051762/4145781 = -12.072939212177392 rat: replaced 5.627071204208799 by 106727219/18966744 = 5.627071204208798 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.426581575321158 by -51993104/7000947 = -7.426581575321167 rat: replaced 12.072939212177399 by 50051762/4145781 = 12.072939212177392 rat: replaced -5.627071204208799 by -106727219/18966744 = -5.627071204208798 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.394534964475198 by 56359532/8813703 = 6.394534964475204 rat: replaced -12.265753974726822 by -56998787/4646986 = -12.265753974726845 rat: replaced 5.580483652100654 by 49772875/8919097 = 5.580483652100655 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.394534964475198 by -56359532/8813703 = -6.394534964475204 rat: replaced 12.265753974726822 by 56998787/4646986 = 12.265753974726845 rat: replaced -5.580483652100654 by -49772875/8919097 = -5.580483652100655 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.852964502227472 by 94039963/13722523 = 6.8529645022274694 rat: replaced -12.808065973700108 by -47635490/3719179 = -12.80806597370011 rat: replaced 5.686602898572157 by 44598258/7842689 = 5.68660289857216 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.852964502227472 by -94039963/13722523 = -6.8529645022274694 rat: replaced 12.808065973700108 by 47635490/3719179 = 12.80806597370011 rat: replaced -5.686602898572157 by -44598258/7842689 = -5.68660289857216 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.388756920560771 by 44500733/6965476 = 6.388756920560777 rat: replaced -12.38128861476768 by -69850575/5641624 = -12.381288614767662 rat: replaced 5.350908539763331 by 23901053/4466728 = 5.350908539763335 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.388756920560771 by -44500733/6965476 = -6.388756920560777 rat: replaced 12.38128861476768 by 69850575/5641624 = 12.381288614767662 rat: replaced -5.350908539763331 by -23901053/4466728 = -5.350908539763335 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.475957597471438 by 63825309/9855733 = 6.475957597471441 rat: replaced -11.303651500196537 by -67602426/5980583 = -11.303651500196553 rat: replaced 5.611641846049709 by 35478848/6322365 = 5.611641846049698 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.475957597471438 by -63825309/9855733 = -6.475957597471441 rat: replaced 11.303651500196537 by 67602426/5980583 = 11.303651500196553 rat: replaced -5.611641846049709 by -35478848/6322365 = -5.611641846049698 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.300429533157268 by 56934178/9036555 = 6.300429533157271 rat: replaced -12.951436472693807 by -61032945/4712446 = -12.951436472693798 rat: replaced 5.579735622269917 by 55453399/9938356 = 5.57973562226992 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.300429533157268 by -56934178/9036555 = -6.300429533157271 rat: replaced 12.951436472693807 by 61032945/4712446 = 12.951436472693798 rat: replaced -5.579735622269917 by -55453399/9938356 = -5.57973562226992 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.950861950696163 by 36934816/5313703 = 6.950861950696153 rat: replaced -12.24720370771457 by -43992911/3592078 = -12.247203707714588 rat: replaced 5.5864098553654316 by 42867573/7673546 = 5.586409855365433 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.950861950696163 by -36934816/5313703 = -6.950861950696153 rat: replaced 12.24720370771457 by 43992911/3592078 = 12.247203707714588 rat: replaced -5.5864098553654316 by -42867573/7673546 = -5.586409855365433 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.484338436338175 by 38367221/5916906 = 6.484338436338181 rat: replaced -12.378719687466429 by -68296256/5517231 = -12.378719687466411 rat: replaced 5.4024895981924015 by 17387540/3218431 = 5.402489598192411 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.484338436338175 by -38367221/5916906 = -6.484338436338181 rat: replaced 12.378719687466429 by 68296256/5517231 = 12.378719687466411 rat: replaced -5.4024895981924015 by -17387540/3218431 = -5.402489598192411 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.644946046032791 by 44432269/6686626 = 6.644946046032782 rat: replaced -12.524543632722695 by -50179296/4006477 = -12.524543632722713 rat: replaced 5.312837072697285 by 18020543/3391887 = 5.312837072697292 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.644946046032791 by -44432269/6686626 = -6.644946046032782 rat: replaced 12.524543632722695 by 50179296/4006477 = 12.524543632722713 rat: replaced -5.312837072697285 by -18020543/3391887 = -5.312837072697292 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.991949559871539 by 20758441/2968906 = 6.991949559871548 rat: replaced -12.12314862841443 by -42935719/3541631 = -12.123148628414423 rat: replaced 5.068841943912566 by 93603714/18466489 = 5.068841943912565 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.991949559871539 by -20758441/2968906 = -6.991949559871548 rat: replaced 12.12314862841443 by 42935719/3541631 = 12.123148628414423 rat: replaced -5.068841943912566 by -93603714/18466489 = -5.068841943912565 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.381303403671236 by 188189953/29490833 = 6.381303403671236 rat: replaced -12.03671142286761 by -61644525/5121376 = -12.036711422867604 rat: replaced 6.16751004274057 by 60388564/9791401 = 6.167510042740564 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.381303403671236 by -188189953/29490833 = -6.381303403671236 rat: replaced 12.03671142286761 by 61644525/5121376 = 12.036711422867604 rat: replaced -6.16751004274057 by -60388564/9791401 = -6.167510042740564 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.350353594844294 by 79482048/12516161 = 6.3503535948442975 rat: replaced -12.36411420745999 by -63741398/5155355 = -12.36411420746001 rat: replaced 5.463430486706911 by 63388589/11602342 = 5.463430486706908 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.350353594844294 by -79482048/12516161 = -6.3503535948442975 rat: replaced 12.36411420745999 by 63741398/5155355 = 12.36411420746001 rat: replaced -5.463430486706911 by -63388589/11602342 = -5.463430486706908 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.121831837299236 by 29354251/4795011 = 6.121831837299227 rat: replaced -11.894344637682083 by -197247759/16583323 = -11.894344637682085 rat: replaced 5.319767129393503 by 52955840/9954541 = 5.31976712939351 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.121831837299236 by -29354251/4795011 = -6.121831837299227 rat: replaced 11.894344637682083 by 197247759/16583323 = 11.894344637682085 rat: replaced -5.319767129393503 by -52955840/9954541 = -5.31976712939351 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.7212419268506824 by 27324053/4065328 = 6.7212419268506745 rat: replaced -11.850579060298521 by -104048096/8780001 = -11.850579060298513 rat: replaced 5.292413677316729 by 19229006/3633315 = 5.292413677316721 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.7212419268506824 by -27324053/4065328 = -6.7212419268506745 rat: replaced 11.850579060298521 by 104048096/8780001 = 11.850579060298513 rat: replaced -5.292413677316729 by -19229006/3633315 = -5.292413677316721 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.00660509027084 by 68923601/11474635 = 6.006605090270845 rat: replaced -12.208621134550809 by -289318988/23697925 = -12.20862113455081 rat: replaced 5.460167133941094 by 23152157/4240192 = 5.460167133941105 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.00660509027084 by -68923601/11474635 = -6.006605090270845 rat: replaced 12.208621134550809 by 289318988/23697925 = 12.20862113455081 rat: replaced -5.460167133941094 by -23152157/4240192 = -5.460167133941105 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.3330695711124 by 59442058/9385979 = 6.333069571112401 rat: replaced -12.392687811386791 by -50618553/4084550 = -12.39268781138681 rat: replaced 5.570953654185598 by 29548795/5304082 = 5.570953654185588 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.3330695711124 by -59442058/9385979 = -6.333069571112401 rat: replaced 12.392687811386791 by 50618553/4084550 = 12.39268781138681 rat: replaced -5.570953654185598 by -29548795/5304082 = -5.570953654185588 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.2059985784571525 by 24648619/3971741 = 6.205998578457155 rat: replaced -13.21160722792335 by -83894961/6350095 = -13.211607227923361 rat: replaced 5.753612931161412 by 554696358/96408355 = 5.753612931161412 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.2059985784571525 by -24648619/3971741 = -6.205998578457155 rat: replaced 13.21160722792335 by 83894961/6350095 = 13.211607227923361 rat: replaced -5.753612931161412 by -554696358/96408355 = -5.753612931161412 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.716554377655601 by 20783679/3094396 = 6.716554377655607 rat: replaced -13.223067031608748 by -58881577/4452944 = -13.223067031608752 rat: replaced 5.8780329708822565 by 67223501/11436394 = 5.878032970882256 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.716554377655601 by -20783679/3094396 = -6.716554377655607 rat: replaced 13.223067031608748 by 58881577/4452944 = 13.223067031608752 rat: replaced -5.8780329708822565 by -67223501/11436394 = -5.878032970882256 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.692001314450604 by 48548743/7254742 = 6.692001314450604 rat: replaced -12.660003806282567 by -1874911812/148097255 = -12.660003806282567 rat: replaced 5.415933163585522 by 71226421/13151274 = 5.41593316358552 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.692001314450604 by -48548743/7254742 = -6.692001314450604 rat: replaced 12.660003806282567 by 1874911812/148097255 = 12.660003806282567 rat: replaced -5.415933163585522 by -71226421/13151274 = -5.41593316358552 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.034106821687428 by 41366506/5880847 = 7.03410682168742 rat: replaced -12.433262316824807 by -103989108/8363783 = -12.433262316824814 rat: replaced 5.4211144639044795 by 72109919/13301678 = 5.421114463904479 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.034106821687428 by -41366506/5880847 = -7.03410682168742 rat: replaced 12.433262316824807 by 103989108/8363783 = 12.433262316824814 rat: replaced -5.4211144639044795 by -72109919/13301678 = -5.421114463904479 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.834265938465211 by 66141397/9677908 = 6.834265938465213 rat: replaced -12.508708904979047 by -109971265/8791576 = -12.50870890497904 rat: replaced 5.963048968221297 by 46943942/7872473 = 5.963048968221295 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.834265938465211 by -66141397/9677908 = -6.834265938465213 rat: replaced 12.508708904979047 by 109971265/8791576 = 12.50870890497904 rat: replaced -5.963048968221297 by -46943942/7872473 = -5.963048968221295 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.849108512202406 by 23329543/3406216 = 6.849108512202397 rat: replaced -12.793556854929621 by -109804092/8582765 = -12.793556854929617 rat: replaced 5.760132396721789 by 21546213/3740576 = 5.760132396721788 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.849108512202406 by -23329543/3406216 = -6.849108512202397 rat: replaced 12.793556854929621 by 109804092/8582765 = 12.793556854929617 rat: replaced -5.760132396721789 by -21546213/3740576 = -5.760132396721788 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.374982795176333 by 17183543/2695465 = 6.374982795176343 rat: replaced -12.414881046385364 by -55106516/4438747 = -12.414881046385387 rat: replaced 5.626589256074177 by 81342273/14456764 = 5.626589256074181 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.374982795176333 by -17183543/2695465 = -6.374982795176343 rat: replaced 12.414881046385364 by 55106516/4438747 = 12.414881046385387 rat: replaced -5.626589256074177 by -81342273/14456764 = -5.626589256074181 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.974667273037088 by 85301213/12230148 = 6.974667273037088 rat: replaced -12.833313206743087 by -60468557/4711843 = -12.833313206743094 rat: replaced 5.510225715385777 by 52136560/9461783 = 5.510225715385779 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.974667273037088 by -85301213/12230148 = -6.974667273037088 rat: replaced 12.833313206743087 by 60468557/4711843 = 12.833313206743094 rat: replaced -5.510225715385777 by -52136560/9461783 = -5.510225715385779 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.7365958274162 by 51279439/7612070 = 6.7365958274161954 rat: replaced -12.669716851229984 by -87227453/6884720 = -12.66971685122997 rat: replaced 5.558407924527601 by 39164948/7046073 = 5.5584079245276055 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.7365958274162 by -51279439/7612070 = -6.7365958274161954 rat: replaced 12.669716851229984 by 87227453/6884720 = 12.66971685122997 rat: replaced -5.558407924527601 by -39164948/7046073 = -5.5584079245276055 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.780834064439299 by 11570266/1706319 = 6.780834064439299 rat: replaced -12.587390245633678 by -99131073/7875427 = -12.587390245633665 rat: replaced 6.282569411357487 by 48933796/7788819 = 6.2825694113574855 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.780834064439299 by -11570266/1706319 = -6.780834064439299 rat: replaced 12.587390245633678 by 99131073/7875427 = 12.587390245633665 rat: replaced -6.282569411357487 by -48933796/7788819 = -6.2825694113574855 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.267566822933776 by 44064022/7030483 = 6.267566822933787 rat: replaced -12.46870717831569 by -66397549/5325135 = -12.468707178315666 rat: replaced 6.288922795131723 by 60511751/9621958 = 6.288922795131718 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.267566822933776 by -44064022/7030483 = -6.267566822933787 rat: replaced 12.46870717831569 by 66397549/5325135 = 12.468707178315666 rat: replaced -6.288922795131723 by -60511751/9621958 = -6.288922795131718 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.913649882563882 by 55248034/7991153 = 6.91364988256388 rat: replaced -12.752455337357388 by -81286382/6374175 = -12.752455337357384 rat: replaced 5.722212760996647 by 42605273/7445594 = 5.722212760996638 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.913649882563882 by -55248034/7991153 = -6.91364988256388 rat: replaced 12.752455337357388 by 81286382/6374175 = 12.752455337357384 rat: replaced -5.722212760996647 by -42605273/7445594 = -5.722212760996638 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.114849660508125 by 70596925/9922476 = 7.114849660508123 rat: replaced -12.50338002333371 by -149427307/11950953 = -12.503380023333705 rat: replaced 6.111152660229426 by 54747415/8958607 = 6.111152660229431 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.114849660508125 by -70596925/9922476 = -7.114849660508123 rat: replaced 12.50338002333371 by 149427307/11950953 = 12.503380023333705 rat: replaced -6.111152660229426 by -54747415/8958607 = -6.111152660229431 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.936448839919898 by 87833595/12662617 = 6.936448839919899 rat: replaced -12.966062111112374 by -306768070/23659309 = -12.966062111112375 rat: replaced 5.263656022907741 by 112459869/21365353 = 5.2636560229077425 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.936448839919898 by -87833595/12662617 = -6.936448839919899 rat: replaced 12.966062111112374 by 306768070/23659309 = 12.966062111112375 rat: replaced -5.263656022907741 by -112459869/21365353 = -5.2636560229077425 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.246203857922178 by 65373719/10466152 = 6.246203857922186 rat: replaced -12.709405026756448 by -62674283/4931331 = -12.709405026756468 rat: replaced 6.066047636823762 by 62561879/10313450 = 6.066047636823759 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.246203857922178 by -65373719/10466152 = -6.246203857922186 rat: replaced 12.709405026756448 by 62674283/4931331 = 12.709405026756468 rat: replaced -6.066047636823762 by -62561879/10313450 = -6.066047636823759 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.529887945920755 by 22692647/3475197 = 6.5298879459207635 rat: replaced -12.626973931011538 by -76104325/6027123 = -12.626973931011529 rat: replaced 5.789963211267062 by 14024501/2422209 = 5.789963211267071 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.529887945920755 by -22692647/3475197 = -6.5298879459207635 rat: replaced 12.626973931011538 by 76104325/6027123 = 12.626973931011529 rat: replaced -5.789963211267062 by -14024501/2422209 = -5.789963211267071 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.767387826086778 by 527086433/77886246 = 6.767387826086778 rat: replaced -12.382157759529495 by -110747963/8944157 = -12.38215775952949 rat: replaced 6.35254897867669 by 76626612/12062341 = 6.352548978676693 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.767387826086778 by -527086433/77886246 = -6.767387826086778 rat: replaced 12.382157759529495 by 110747963/8944157 = 12.38215775952949 rat: replaced -6.35254897867669 by -76626612/12062341 = -6.352548978676693 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.470128513521948 by 34141063/5276721 = 6.4701285135219395 rat: replaced -12.292909719357079 by -218607309/17783203 = -12.29290971935708 rat: replaced 5.0788240301447205 by 20309425/3998844 = 5.078824030144712 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.470128513521948 by -34141063/5276721 = -6.4701285135219395 rat: replaced 12.292909719357079 by 218607309/17783203 = 12.29290971935708 rat: replaced -5.0788240301447205 by -20309425/3998844 = -5.078824030144712 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.167273950000269 by 79876497/12951670 = 6.16727395000027 rat: replaced -13.05688413981364 by -368205569/28200110 = -13.056884139813638 rat: replaced 5.312360178836751 by 44291463/8337436 = 5.312360178836755 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.167273950000269 by -79876497/12951670 = -6.16727395000027 rat: replaced 13.05688413981364 by 368205569/28200110 = 13.056884139813638 rat: replaced -5.312360178836751 by -44291463/8337436 = -5.312360178836755 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.817363898314079 by 51967981/7622885 = 6.81736389831409 rat: replaced -12.525411613438656 by -71054894/5672859 = -12.525411613438656 rat: replaced 5.307406816742095 by 70519318/13286963 = 5.307406816742096 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.817363898314079 by -51967981/7622885 = -6.81736389831409 rat: replaced 12.525411613438656 by 71054894/5672859 = 12.525411613438656 rat: replaced -5.307406816742095 by -70519318/13286963 = -5.307406816742096 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.975600642768853 by 118043995/16922413 = 6.975600642768853 rat: replaced -12.40809187533962 by -75882815/6115591 = -12.408091875339604 rat: replaced 5.3135804778502695 by 35109754/6607551 = 5.313580477850266 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.975600642768853 by -118043995/16922413 = -6.975600642768853 rat: replaced 12.40809187533962 by 75882815/6115591 = 12.408091875339604 rat: replaced -5.3135804778502695 by -35109754/6607551 = -5.313580477850266 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.150537470946558 by 75657989/12301037 = 6.1505374709465555 rat: replaced -12.778307471855657 by -95694304/7488809 = -12.77830747185567 rat: replaced 6.072417280525238 by 51528517/8485668 = 6.072417280525234 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.150537470946558 by -75657989/12301037 = -6.1505374709465555 rat: replaced 12.778307471855657 by 95694304/7488809 = 12.77830747185567 rat: replaced -6.072417280525238 by -51528517/8485668 = -6.072417280525234 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.180455548192956 by 72536898/11736497 = 6.180455548192957 rat: replaced -12.569430013669647 by -73588721/5854579 = -12.569430013669642 rat: replaced 5.686621355183247 by 28697819/5046550 = 5.686621355183244 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.180455548192956 by -72536898/11736497 = -6.180455548192957 rat: replaced 12.569430013669647 by 73588721/5854579 = 12.569430013669642 rat: replaced -5.686621355183247 by -28697819/5046550 = -5.686621355183244 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.645413668173522 by 46938351/7063270 = 6.645413668173523 rat: replaced -12.010617430262526 by -37234007/3100091 = -12.010617430262531 rat: replaced 6.120385704245274 by 56193948/9181439 = 6.120385704245272 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.645413668173522 by -46938351/7063270 = -6.645413668173523 rat: replaced 12.010617430262526 by 37234007/3100091 = 12.010617430262531 rat: replaced -6.120385704245274 by -56193948/9181439 = -6.120385704245272 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.777338445308042 by 35069453/5174517 = 6.777338445308035 rat: replaced -12.220356691833969 by -135347917/11075611 = -12.220356691833976 rat: replaced 5.7346397350569545 by 102688135/17906641 = 5.7346397350569545 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.777338445308042 by -35069453/5174517 = -6.777338445308035 rat: replaced 12.220356691833969 by 135347917/11075611 = 12.220356691833976 rat: replaced -5.7346397350569545 by -102688135/17906641 = -5.7346397350569545 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.968760093272879 by 40282632/5780459 = 6.96876009327287 rat: replaced -12.151248726196002 by -64831736/5335397 = -12.151248726196007 rat: replaced 5.354462994650099 by 42373073/7913599 = 5.3544629946500955 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.968760093272879 by -40282632/5780459 = -6.96876009327287 rat: replaced 12.151248726196002 by 64831736/5335397 = 12.151248726196007 rat: replaced -5.354462994650099 by -42373073/7913599 = -5.3544629946500955 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.352221946694458 by 58072337/9142051 = 6.352221946694456 rat: replaced -12.582738561583092 by -54348673/4319304 = -12.58273856158307 rat: replaced 5.571644873461833 by 67443463/12104767 = 5.571644873461835 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.352221946694458 by -58072337/9142051 = -6.352221946694456 rat: replaced 12.582738561583092 by 54348673/4319304 = 12.58273856158307 rat: replaced -5.571644873461833 by -67443463/12104767 = -5.571644873461835 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.608950363021487 by 10308806/1559825 = 6.608950363021493 rat: replaced -13.118146849106758 by -7038909/536578 = -13.118146849106747 rat: replaced 5.9919696662902995 by 96441333/16095097 = 5.9919696662902995 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.608950363021487 by -10308806/1559825 = -6.608950363021493 rat: replaced 13.118146849106758 by 7038909/536578 = 13.118146849106747 rat: replaced -5.9919696662902995 by -96441333/16095097 = -5.9919696662902995 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.658498546754682 by 59767462/8976117 = 6.658498546754682 rat: replaced -12.362417941790664 by -35957403/2908606 = -12.362417941790673 rat: replaced 4.895214670580862 by 39948442/8160713 = 4.8952146705808675 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.658498546754682 by -59767462/8976117 = -6.658498546754682 rat: replaced 12.362417941790664 by 35957403/2908606 = 12.362417941790673 rat: replaced -4.895214670580862 by -39948442/8160713 = -4.8952146705808675 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.51421363873462 by 160802139/24684812 = 6.51421363873462 rat: replaced -12.74120800762147 by -228749227/17953496 = -12.741208007621468 rat: replaced 5.948470396078106 by 35086202/5898357 = 5.948470396078094 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.51421363873462 by -160802139/24684812 = -6.51421363873462 rat: replaced 12.74120800762147 by 228749227/17953496 = 12.741208007621468 rat: replaced -5.948470396078106 by -35086202/5898357 = -5.948470396078094 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.865725042951611 by 70764671/10306948 = 6.865725042951609 rat: replaced -12.344828358221292 by -82157635/6655227 = -12.34482835822129 rat: replaced 5.724762613770557 by 57712162/10081145 = 5.724762613770559 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.865725042951611 by -70764671/10306948 = -6.865725042951609 rat: replaced 12.344828358221292 by 82157635/6655227 = 12.34482835822129 rat: replaced -5.724762613770557 by -57712162/10081145 = -5.724762613770559 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.210499087225293 by 21956437/3535374 = 6.210499087225283 rat: replaced -12.918073234872185 by -117702753/9111479 = -12.918073234872187 rat: replaced 5.809896327705145 by 25156793/4329990 = 5.809896327705145 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.210499087225293 by -21956437/3535374 = -6.210499087225283 rat: replaced 12.918073234872185 by 117702753/9111479 = 12.918073234872187 rat: replaced -5.809896327705145 by -25156793/4329990 = -5.809896327705145 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.2861493206492565 by 60092413/9559495 = 6.28614932064926 rat: replaced -12.696440537509254 by -67887347/5346959 = -12.696440537509265 rat: replaced 5.9138879009378655 by 66627653/11266303 = 5.913887900937867 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.2861493206492565 by -60092413/9559495 = -6.28614932064926 rat: replaced 12.696440537509254 by 67887347/5346959 = 12.696440537509265 rat: replaced -5.9138879009378655 by -66627653/11266303 = -5.913887900937867 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.75263681743475 by 56792532/8410423 = 6.752636817434747 rat: replaced -12.131547622056083 by -64807613/5342073 = -12.131547622056083 rat: replaced 4.567556157031712 by 115673821/25325101 = 4.567556157031714 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.75263681743475 by -56792532/8410423 = -6.752636817434747 rat: replaced 12.131547622056083 by 64807613/5342073 = 12.131547622056083 rat: replaced -4.567556157031712 by -115673821/25325101 = -4.567556157031714 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.797126774791594 by 51324812/7550957 = 6.797126774791592 rat: replaced -12.897385539080522 by -207562462/16093375 = -12.897385539080522 rat: replaced 5.668959118570158 by 83603961/14747674 = 5.6689591185701556 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.797126774791594 by -51324812/7550957 = -6.797126774791592 rat: replaced 12.897385539080522 by 207562462/16093375 = 12.897385539080522 rat: replaced -5.668959118570158 by -83603961/14747674 = -5.6689591185701556 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.676229710624816 by 60960313/9130949 = 6.676229710624821 rat: replaced -12.351588353941365 by -115573207/9356951 = -12.351588353941365 rat: replaced 5.590604277816926 by 56212939/10054895 = 5.590604277816924 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.676229710624816 by -60960313/9130949 = -6.676229710624821 rat: replaced 12.351588353941365 by 115573207/9356951 = 12.351588353941365 rat: replaced -5.590604277816926 by -56212939/10054895 = -5.590604277816924 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.5953875897476575 by 45074864/6834301 = 6.595387589747657 rat: replaced -12.44945398650631 by -55609607/4466831 = -12.449453986506317 rat: replaced 5.140426532211377 by 181698487/35346967 = 5.140426532211378 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.5953875897476575 by -45074864/6834301 = -6.595387589747657 rat: replaced 12.44945398650631 by 55609607/4466831 = 12.449453986506317 rat: replaced -5.140426532211377 by -181698487/35346967 = -5.140426532211378 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.921105579544839 by 29682677/4288719 = 6.9211055795448475 rat: replaced -12.731473562214761 by -72612559/5703390 = -12.731473562214752 rat: replaced 5.506737548993382 by 30133793/5472168 = 5.506737548993379 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.921105579544839 by -29682677/4288719 = -6.9211055795448475 rat: replaced 12.731473562214761 by 72612559/5703390 = 12.731473562214752 rat: replaced -5.506737548993382 by -30133793/5472168 = -5.506737548993379 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.319862541703631 by 74954701/11860179 = 6.319862541703628 rat: replaced -13.010418508741463 by -52898293/4065841 = -13.010418508741488 rat: replaced 5.455440785197078 by 50060734/9176295 = 5.455440785197076 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.319862541703631 by -74954701/11860179 = -6.319862541703628 rat: replaced 13.010418508741463 by 52898293/4065841 = 13.010418508741488 rat: replaced -5.455440785197078 by -50060734/9176295 = -5.455440785197076 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.561594410636408 by 17509595/2668497 = 6.561594410636399 rat: replaced -12.093908996792011 by -226192513/18703011 = -12.093908996792013 rat: replaced 5.956356023723757 by 77409333/12996089 = 5.956356023723752 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.561594410636408 by -17509595/2668497 = -6.561594410636399 rat: replaced 12.093908996792011 by 226192513/18703011 = 12.093908996792013 rat: replaced -5.956356023723757 by -77409333/12996089 = -5.956356023723752 rat: replaced 5.0 by 5/1 = 5.0 Gen 20 : best = 0.748 mu = [-5.96,12.8,-6.7] rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.692759417044626 by 16486803/2463379 = 6.692759417044637 rat: replaced -13.10306534388707 by -133987216/10225639 = -13.103065343887067 rat: replaced 5.970649748475781 by 82763278/13861687 = 5.970649748475781 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.692759417044626 by -16486803/2463379 = -6.692759417044637 rat: replaced 13.10306534388707 by 133987216/10225639 = 13.103065343887067 rat: replaced -5.970649748475781 by -82763278/13861687 = -5.970649748475781 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.263551622364755 by 50675163/6976637 = 7.2635516223647585 rat: replaced -12.45942006965524 by -141373825/11346742 = -12.459420069655236 rat: replaced 5.87053792823979 by 120588968/20541383 = 5.870537928239788 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.263551622364755 by -50675163/6976637 = -7.2635516223647585 rat: replaced 12.45942006965524 by 141373825/11346742 = 12.459420069655236 rat: replaced -5.87053792823979 by -120588968/20541383 = -5.870537928239788 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.51168233639008 by 47239273/7254542 = 6.511682336390085 rat: replaced -12.779506566065168 by -75935713/5941991 = -12.779506566065146 rat: replaced 5.844458790643892 by 124379855/21281672 = 5.844458790643893 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.51168233639008 by -47239273/7254542 = -6.511682336390085 rat: replaced 12.779506566065168 by 75935713/5941991 = 12.779506566065146 rat: replaced -5.844458790643892 by -124379855/21281672 = -5.844458790643893 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.49946814782907 by 26677223/4104524 = 6.499468147829078 rat: replaced -13.12283321431371 by -177110665/13496374 = -13.122833214313712 rat: replaced 6.059706108521949 by 132648112/21890189 = 6.05970610852195 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.49946814782907 by -26677223/4104524 = -6.499468147829078 rat: replaced 13.12283321431371 by 177110665/13496374 = 13.122833214313712 rat: replaced -6.059706108521949 by -132648112/21890189 = -6.05970610852195 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.842792365723806 by 218832363/31979980 = 6.842792365723806 rat: replaced -12.882671172512694 by -52988681/4113175 = -12.882671172512719 rat: replaced 6.104112619181864 by 23472657/3845384 = 6.104112619181856 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.842792365723806 by -218832363/31979980 = -6.842792365723806 rat: replaced 12.882671172512694 by 52988681/4113175 = 12.882671172512719 rat: replaced -6.104112619181864 by -23472657/3845384 = -6.104112619181856 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.173534772251325 by 104597992/14581095 = 7.17353477225133 rat: replaced -12.58266792202113 by -152472907/12117693 = -12.58266792202113 rat: replaced 6.4358985642822315 by 103981711/16156518 = 6.43589856428223 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.173534772251325 by -104597992/14581095 = -7.17353477225133 rat: replaced 12.58266792202113 by 152472907/12117693 = 12.58266792202113 rat: replaced -6.4358985642822315 by -103981711/16156518 = -6.43589856428223 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.902773358406751 by 49613152/7187423 = 6.902773358406761 rat: replaced -12.986145683385725 by -129031759/9936109 = -12.98614568338572 rat: replaced 6.439707397040254 by 40476871/6285514 = 6.439707397040242 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.902773358406751 by -49613152/7187423 = -6.902773358406761 rat: replaced 12.986145683385725 by 129031759/9936109 = 12.98614568338572 rat: replaced -6.439707397040254 by -40476871/6285514 = -6.439707397040242 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.795318214063664 by 52387303/7709323 = 6.795318214063673 rat: replaced -12.82308338952005 by -19265798/1502431 = -12.82308338952005 rat: replaced 6.2514257317976885 by 162231118/25951059 = 6.2514257317976885 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.795318214063664 by -52387303/7709323 = -6.795318214063673 rat: replaced 12.82308338952005 by 19265798/1502431 = 12.82308338952005 rat: replaced -6.2514257317976885 by -162231118/25951059 = -6.2514257317976885 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.0645953113335525 by 55540499/7861809 = 7.064595311333562 rat: replaced -12.6469254064172 by -84889363/6712253 = -12.64692540641719 rat: replaced 6.235682999231939 by 596905355/95724134 = 6.235682999231939 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.0645953113335525 by -55540499/7861809 = -7.064595311333562 rat: replaced 12.6469254064172 by 84889363/6712253 = 12.64692540641719 rat: replaced -6.235682999231939 by -596905355/95724134 = -6.235682999231939 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.241482616019917 by 49000658/6766661 = 7.241482616019924 rat: replaced -13.017488563082443 by -72659781/5581705 = -13.017488563082427 rat: replaced 6.177210412010503 by 148468616/24034897 = 6.177210412010503 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.241482616019917 by -49000658/6766661 = -7.241482616019924 rat: replaced 13.017488563082443 by 72659781/5581705 = 13.017488563082427 rat: replaced -6.177210412010503 by -148468616/24034897 = -6.177210412010503 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.9368883206420895 by 131787039/18998005 = 6.936888320642089 rat: replaced -12.929059085019077 by -129449851/10012318 = -12.929059085019073 rat: replaced 6.115082060907895 by 172430589/28197592 = 6.115082060907896 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.9368883206420895 by -131787039/18998005 = -6.936888320642089 rat: replaced 12.929059085019077 by 129449851/10012318 = 12.929059085019073 rat: replaced -6.115082060907895 by -172430589/28197592 = -6.115082060907896 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.867399122475896 by 72589741/10570194 = 6.867399122475898 rat: replaced -12.68835033708644 by -107908012/8504495 = -12.688350337086447 rat: replaced 6.133511576690117 by 58234687/9494510 = 6.1335115766901085 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.867399122475896 by -72589741/10570194 = -6.867399122475898 rat: replaced 12.68835033708644 by 107908012/8504495 = 12.688350337086447 rat: replaced -6.133511576690117 by -58234687/9494510 = -6.1335115766901085 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.864648676907872 by 60768664/8852407 = 6.864648676907874 rat: replaced -12.96518634867264 by -73950791/5703797 = -12.965186348672647 rat: replaced 5.993947100361532 by 54789130/9140743 = 5.993947100361535 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.864648676907872 by -60768664/8852407 = -6.864648676907874 rat: replaced 12.96518634867264 by 73950791/5703797 = 12.965186348672647 rat: replaced -5.993947100361532 by -54789130/9140743 = -5.993947100361535 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.1878814068327594 by 25765615/3584591 = 7.187881406832746 rat: replaced -12.757484144806707 by -75733312/5936383 = -12.757484144806694 rat: replaced 6.051336299003264 by 39648894/6552089 = 6.051336299003265 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.1878814068327594 by -25765615/3584591 = -7.187881406832746 rat: replaced 12.757484144806707 by 75733312/5936383 = 12.757484144806694 rat: replaced -6.051336299003264 by -39648894/6552089 = -6.051336299003265 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.373032804865508 by 3282985/515137 = 6.373032804865502 rat: replaced -12.562649687895084 by -124278110/9892667 = -12.562649687895084 rat: replaced 6.22515160822164 by 21545617/3461059 = 6.225151608221646 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.373032804865508 by -3282985/515137 = -6.373032804865502 rat: replaced 12.562649687895084 by 124278110/9892667 = 12.562649687895084 rat: replaced -6.22515160822164 by -21545617/3461059 = -6.225151608221646 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.36876230283579 by 29212551/4586849 = 6.368762302835782 rat: replaced -12.497114725919014 by -48361622/3869823 = -12.497114725918989 rat: replaced 6.061129613326113 by 46133688/7611401 = 6.0611296133261146 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.36876230283579 by -29212551/4586849 = -6.368762302835782 rat: replaced 12.497114725919014 by 48361622/3869823 = 12.497114725918989 rat: replaced -6.061129613326113 by -46133688/7611401 = -6.0611296133261146 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.991661589391429 by 43948664/7334971 = 5.991661589391423 rat: replaced -12.795233998995391 by -74000788/5783465 = -12.795233998995412 rat: replaced 5.769251121519983 by 30374836/5264953 = 5.769251121519983 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -5.991661589391429 by -43948664/7334971 = -5.991661589391423 rat: replaced 12.795233998995391 by 74000788/5783465 = 12.795233998995412 rat: replaced -5.769251121519983 by -30374836/5264953 = -5.769251121519983 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.826492650076749 by 38852901/5691488 = 6.826492650076746 rat: replaced -12.836152311054745 by -111906269/8718054 = -12.836152311054738 rat: replaced 5.753035820550686 by 15787199/2744151 = 5.753035820550691 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.826492650076749 by -38852901/5691488 = -6.826492650076746 rat: replaced 12.836152311054745 by 111906269/8718054 = 12.836152311054738 rat: replaced -5.753035820550686 by -15787199/2744151 = -5.753035820550691 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.956905760340809 by 172242433/24758483 = 6.956905760340809 rat: replaced -12.931351623994676 by -181693650/14050631 = -12.931351623994681 rat: replaced 5.841169519176673 by 51984008/8899589 = 5.841169519176672 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.956905760340809 by -172242433/24758483 = -6.956905760340809 rat: replaced 12.931351623994676 by 181693650/14050631 = 12.931351623994681 rat: replaced -5.841169519176673 by -51984008/8899589 = -5.841169519176672 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.88627547593777 by 73177330/10626547 = 6.8862754759377625 rat: replaced -12.714031623618066 by -64769816/5094357 = -12.714031623618054 rat: replaced 5.348020322055257 by 115812931/21655290 = 5.348020322055258 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.88627547593777 by -73177330/10626547 = -6.8862754759377625 rat: replaced 12.714031623618066 by 64769816/5094357 = 12.714031623618054 rat: replaced -5.348020322055257 by -115812931/21655290 = -5.348020322055258 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.318813253757553 by 80112423/12678397 = 6.318813253757553 rat: replaced -12.64250048286097 by -23498780/1858713 = -12.64250048286099 rat: replaced 6.113533261151031 by 42556788/6961079 = 6.113533261151037 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.318813253757553 by -80112423/12678397 = -6.318813253757553 rat: replaced 12.64250048286097 by 23498780/1858713 = 12.64250048286099 rat: replaced -6.113533261151031 by -42556788/6961079 = -6.113533261151037 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.5949328147768185 by 18157723/2753284 = 6.5949328147768265 rat: replaced -12.732533877745832 by -51533925/4047421 = -12.732533877745853 rat: replaced 5.784261962884857 by 56495251/9767063 = 5.784261962884851 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.5949328147768185 by -18157723/2753284 = -6.5949328147768265 rat: replaced 12.732533877745832 by 51533925/4047421 = 12.732533877745853 rat: replaced -5.784261962884857 by -56495251/9767063 = -5.784261962884851 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.231949996913837 by 61981507/8570511 = 7.231949996913836 rat: replaced -13.060564128985094 by -28721578/2199107 = -13.060564128985083 rat: replaced 5.594296735634502 by 35220758/6295833 = 5.594296735634506 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.231949996913837 by -61981507/8570511 = -7.231949996913836 rat: replaced 13.060564128985094 by 28721578/2199107 = 13.060564128985083 rat: replaced -5.594296735634502 by -35220758/6295833 = -5.594296735634506 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.180593538245771 by 31895639/5160611 = 6.180593538245762 rat: replaced -13.606469444776334 by -44300746/3255859 = -13.606469444776325 rat: replaced 6.480787199620385 by 79215148/12223075 = 6.48078719962039 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.180593538245771 by -31895639/5160611 = -6.180593538245762 rat: replaced 13.606469444776334 by 44300746/3255859 = 13.606469444776325 rat: replaced -6.480787199620385 by -79215148/12223075 = -6.48078719962039 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.087823085966809 by 87198709/12302608 = 7.0878230859668125 rat: replaced -12.915555293947666 by -24136396/1868785 = -12.915555293947673 rat: replaced 5.988119087005905 by 41892444/6995927 = 5.988119087005911 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.087823085966809 by -87198709/12302608 = -7.0878230859668125 rat: replaced 12.915555293947666 by 24136396/1868785 = 12.915555293947673 rat: replaced -5.988119087005905 by -41892444/6995927 = -5.988119087005911 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.302153049826799 by 26600860/3642879 = 7.302153049826799 rat: replaced -12.930959405390633 by -73217743/5662205 = -12.930959405390656 rat: replaced 5.972576189036723 by 136704857/22888759 = 5.972576189036723 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.302153049826799 by -26600860/3642879 = -7.302153049826799 rat: replaced 12.930959405390633 by 73217743/5662205 = 12.930959405390656 rat: replaced -5.972576189036723 by -136704857/22888759 = -5.972576189036723 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.10142534595294 by 78376223/11036689 = 7.101425345952939 rat: replaced -13.121942311081177 by -151681032/11559343 = -13.121942311081174 rat: replaced 6.149294343958574 by 70477290/11461037 = 6.149294343958579 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.10142534595294 by -78376223/11036689 = -7.101425345952939 rat: replaced 13.121942311081177 by 151681032/11559343 = 13.121942311081174 rat: replaced -6.149294343958574 by -70477290/11461037 = -6.149294343958579 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.20248518434653 by 32678308/5268583 = 6.202485184346531 rat: replaced -12.487202329215263 by -63428482/5079479 = -12.48720232921526 rat: replaced 6.106382727561493 by 72937603/11944486 = 6.1063827275614875 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.20248518434653 by -32678308/5268583 = -6.202485184346531 rat: replaced 12.487202329215263 by 63428482/5079479 = 12.48720232921526 rat: replaced -6.106382727561493 by -72937603/11944486 = -6.1063827275614875 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.786830416310243 by 38789946/5715473 = 6.786830416310251 rat: replaced -12.911526787496827 by -90994282/7047523 = -12.911526787496827 rat: replaced 6.018204005559687 by 45593733/7575970 = 6.018204005559684 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.786830416310243 by -38789946/5715473 = -6.786830416310251 rat: replaced 12.911526787496827 by 90994282/7047523 = 12.911526787496827 rat: replaced -6.018204005559687 by -45593733/7575970 = -6.018204005559684 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.509619184053995 by 91134955/14000044 = 6.509619184053993 rat: replaced -12.417164419418073 by -51940589/4182967 = -12.417164419418082 rat: replaced 5.944601262876959 by 52352421/8806717 = 5.944601262876961 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.509619184053995 by -91134955/14000044 = -6.509619184053993 rat: replaced 12.417164419418073 by 51940589/4182967 = 12.417164419418082 rat: replaced -5.944601262876959 by -52352421/8806717 = -5.944601262876961 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.808719896950478 by 83827264/12311751 = 6.808719896950483 rat: replaced -12.688792494448675 by -30085698/2371045 = -12.68879249444865 rat: replaced 6.142831050724691 by 65550015/10670978 = 6.142831050724685 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.808719896950478 by -83827264/12311751 = -6.808719896950483 rat: replaced 12.688792494448675 by 30085698/2371045 = 12.68879249444865 rat: replaced -6.142831050724691 by -65550015/10670978 = -6.142831050724685 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.613004149412758 by 39006309/5898425 = 6.613004149412767 rat: replaced -12.449857789746346 by -208791473/16770591 = -12.449857789746348 rat: replaced 6.212700325188716 by 56265861/9056587 = 6.212700325188727 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.613004149412758 by -39006309/5898425 = -6.613004149412767 rat: replaced 12.449857789746346 by 208791473/16770591 = 12.449857789746348 rat: replaced -6.212700325188716 by -56265861/9056587 = -6.212700325188727 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.961490994655731 by 40653012/5839699 = 6.961490994655717 rat: replaced -13.111118412288656 by -117123063/8933110 = -13.111118412288665 rat: replaced 5.780459156115055 by 56205231/9723316 = 5.780459156115054 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.961490994655731 by -40653012/5839699 = -6.961490994655717 rat: replaced 13.111118412288656 by 117123063/8933110 = 13.111118412288665 rat: replaced -5.780459156115055 by -56205231/9723316 = -5.780459156115054 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.984358579493661 by 46442213/6649460 = 6.984358579493673 rat: replaced -12.92725076378472 by -100743345/7793099 = -12.927250763784729 rat: replaced 6.28556098636969 by 71296408/11342887 = 6.2855609863696955 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.984358579493661 by -46442213/6649460 = -6.984358579493673 rat: replaced 12.92725076378472 by 100743345/7793099 = 12.927250763784729 rat: replaced -6.28556098636969 by -71296408/11342887 = -6.2855609863696955 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.961005646158194 by 68615642/9857145 = 6.961005646158193 rat: replaced -12.61450953696279 by -207522520/16451097 = -12.614509536962794 rat: replaced 6.301776621640682 by 48201300/7648843 = 6.301776621640685 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.961005646158194 by -68615642/9857145 = -6.961005646158193 rat: replaced 12.61450953696279 by 207522520/16451097 = 12.614509536962794 rat: replaced -6.301776621640682 by -48201300/7648843 = -6.301776621640685 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.750322021916072 by 60680636/8989295 = 6.750322021916068 rat: replaced -12.398812365367396 by -29400907/2371268 = -12.39881236536739 rat: replaced 5.971881848006916 by 63216269/10585653 = 5.9718818480069205 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.750322021916072 by -60680636/8989295 = -6.750322021916068 rat: replaced 12.398812365367396 by 29400907/2371268 = 12.39881236536739 rat: replaced -5.971881848006916 by -63216269/10585653 = -5.9718818480069205 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.312643602081842 by 197320119/26983418 = 7.312643602081842 rat: replaced -12.457265441760919 by -20437589/1640616 = -12.4572654417609 rat: replaced 5.854904022237289 by 400610619/68423089 = 5.854904022237289 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.312643602081842 by -197320119/26983418 = -7.312643602081842 rat: replaced 12.457265441760919 by 20437589/1640616 = 12.4572654417609 rat: replaced -5.854904022237289 by -400610619/68423089 = -5.854904022237289 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.683511529358559 by 77080885/11532992 = 6.683511529358556 rat: replaced -13.309800136957971 by -267871467/20125882 = -13.309800136957973 rat: replaced 6.108415012087628 by 6882791/1126772 = 6.108415012087628 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.683511529358559 by -77080885/11532992 = -6.683511529358556 rat: replaced 13.309800136957971 by 267871467/20125882 = 13.309800136957973 rat: replaced -6.108415012087628 by -6882791/1126772 = -6.108415012087628 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.606472646072822 by 68538170/10374397 = 6.606472646072827 rat: replaced -12.62566176227604 by -78705017/6233734 = -12.62566176227603 rat: replaced 6.179786090552112 by 59321015/9599202 = 6.179786090552111 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.606472646072822 by -68538170/10374397 = -6.606472646072827 rat: replaced 12.62566176227604 by 78705017/6233734 = 12.62566176227603 rat: replaced -6.179786090552112 by -59321015/9599202 = -6.179786090552111 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.732770889290612 by 54830757/8143862 = 6.7327708892906095 rat: replaced -12.555326406765282 by -73414057/5847244 = -12.555326406765307 rat: replaced 6.080832029247249 by 185210663/30458112 = 6.080832029247249 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.732770889290612 by -54830757/8143862 = -6.7327708892906095 rat: replaced 12.555326406765282 by 73414057/5847244 = 12.555326406765307 rat: replaced -6.080832029247249 by -185210663/30458112 = -6.080832029247249 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.7887473601886885 by 16336591/2406422 = 6.788747360188695 rat: replaced -13.262187989793038 by -31282544/2358777 = -13.262187989793016 rat: replaced 6.1871213638180835 by 45266372/7316225 = 6.187121363818089 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.7887473601886885 by -16336591/2406422 = -6.788747360188695 rat: replaced 13.262187989793038 by 31282544/2358777 = 13.262187989793016 rat: replaced -6.1871213638180835 by -45266372/7316225 = -6.187121363818089 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.882451808019767 by 75649233/10991611 = 6.882451808019771 rat: replaced -12.791224378739278 by -148367407/11599156 = -12.791224378739281 rat: replaced 6.573406748987661 by 61388855/9338971 = 6.573406748987656 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.882451808019767 by -75649233/10991611 = -6.882451808019771 rat: replaced 12.791224378739278 by 148367407/11599156 = 12.791224378739281 rat: replaced -6.573406748987661 by -61388855/9338971 = -6.573406748987656 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.46960228646698 by 42003647/6492462 = 6.469602286466983 rat: replaced -13.335450054086879 by -83570185/6266769 = -13.335450054086882 rat: replaced 5.998453555826218 by 50018009/8338484 = 5.998453555826215 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.46960228646698 by -42003647/6492462 = -6.469602286466983 rat: replaced 13.335450054086879 by 83570185/6266769 = 13.335450054086882 rat: replaced -5.998453555826218 by -50018009/8338484 = -5.998453555826215 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.9486242720639195 by 77042955/11087512 = 6.948624272063922 rat: replaced -13.155882034169645 by -81448684/6191047 = -13.155882034169665 rat: replaced 6.008391426165891 by 59995657/9985311 = 6.008391426165895 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.9486242720639195 by -77042955/11087512 = -6.948624272063922 rat: replaced 13.155882034169645 by 81448684/6191047 = 13.155882034169665 rat: replaced -6.008391426165891 by -59995657/9985311 = -6.008391426165895 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.976387160816852 by 66976491/9600455 = 6.9763871608168575 rat: replaced -13.173096401634647 by -52971484/4021187 = -13.173096401634641 rat: replaced 5.971784590300447 by 117826266/19730495 = 5.971784590300446 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.976387160816852 by -66976491/9600455 = -6.9763871608168575 rat: replaced 13.173096401634647 by 52971484/4021187 = 13.173096401634641 rat: replaced -5.971784590300447 by -117826266/19730495 = -5.971784590300446 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.832746289122845 by 254916734/37308093 = 6.832746289122845 rat: replaced -12.95504413656369 by -111982974/8643967 = -12.955044136563686 rat: replaced 5.842118703119396 by 15602821/2670747 = 5.8421187031193895 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.832746289122845 by -254916734/37308093 = -6.832746289122845 rat: replaced 12.95504413656369 by 111982974/8643967 = 12.955044136563686 rat: replaced -5.842118703119396 by -15602821/2670747 = -5.8421187031193895 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.208027712739241 by 64812257/8991677 = 7.208027712739237 rat: replaced -13.26067649192982 by -116905872/8815981 = -13.260676491929827 rat: replaced 6.000213442013089 by 125125085/20853439 = 6.00021344201309 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.208027712739241 by -64812257/8991677 = -7.208027712739237 rat: replaced 13.26067649192982 by 116905872/8815981 = 13.260676491929827 rat: replaced -6.000213442013089 by -125125085/20853439 = -6.00021344201309 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.6163159093879065 by 45214798/6833833 = 6.616315909387894 rat: replaced -12.831641133097813 by -49926517/3890891 = -12.831641133097792 rat: replaced 5.746458738339359 by 50153661/8727751 = 5.74645873833935 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.6163159093879065 by -45214798/6833833 = -6.616315909387894 rat: replaced 12.831641133097813 by 49926517/3890891 = 12.831641133097792 rat: replaced -5.746458738339359 by -50153661/8727751 = -5.74645873833935 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.43010314592829 by 34649491/4663393 = 7.430103145928297 rat: replaced -13.053095498075363 by -24578039/1882928 = -13.053095498075338 rat: replaced 6.085195642397989 by 34628177/5690561 = 6.085195642397999 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.43010314592829 by -34649491/4663393 = -7.430103145928297 rat: replaced 13.053095498075363 by 24578039/1882928 = 13.053095498075338 rat: replaced -6.085195642397989 by -34628177/5690561 = -6.085195642397999 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.961831556617154 by 62261595/8943278 = 6.96183155661716 rat: replaced -12.73694717348495 by -44719447/3511002 = -12.736947173484948 rat: replaced 5.31844767017031 by 37848201/7116400 = 5.318447670170311 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.961831556617154 by -62261595/8943278 = -6.96183155661716 rat: replaced 12.73694717348495 by 44719447/3511002 = 12.736947173484948 rat: replaced -5.31844767017031 by -37848201/7116400 = -5.318447670170311 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.526141396890654 by 40169699/6155199 = 6.526141396890661 rat: replaced -12.681000175231643 by -61584377/4856429 = -12.681000175231636 rat: replaced 6.3402908899300785 by 105670959/16666579 = 6.340290889930081 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.526141396890654 by -40169699/6155199 = -6.526141396890661 rat: replaced 12.681000175231643 by 61584377/4856429 = 12.681000175231636 rat: replaced -6.3402908899300785 by -105670959/16666579 = -6.340290889930081 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.528488050827964 by 83990311/12865201 = 6.528488050827966 rat: replaced -12.718289076332495 by -18324371/1440789 = -12.718289076332482 rat: replaced 6.293437843473791 by 51716401/8217512 = 6.293437843473791 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.528488050827964 by -83990311/12865201 = -6.528488050827966 rat: replaced 12.718289076332495 by 18324371/1440789 = 12.718289076332482 rat: replaced -6.293437843473791 by -51716401/8217512 = -6.293437843473791 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.328059807030561 by 47443977/6474289 = 7.328059807030548 rat: replaced -13.269470935840978 by -762894527/57492460 = -13.269470935840978 rat: replaced 6.753873546566434 by 40302626/5967335 = 6.753873546566432 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.328059807030561 by -47443977/6474289 = -7.328059807030548 rat: replaced 13.269470935840978 by 762894527/57492460 = 13.269470935840978 rat: replaced -6.753873546566434 by -40302626/5967335 = -6.753873546566432 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.906608953696395 by 195628117/28324771 = 6.906608953696395 rat: replaced -13.228143260516843 by -314365515/23764901 = -13.228143260516843 rat: replaced 6.135743062871752 by 76212445/12421062 = 6.135743062871757 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.906608953696395 by -195628117/28324771 = -6.906608953696395 rat: replaced 13.228143260516843 by 314365515/23764901 = 13.228143260516843 rat: replaced -6.135743062871752 by -76212445/12421062 = -6.135743062871757 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.564675233893598 by 37677750/5739469 = 6.564675233893588 rat: replaced -12.288454930498785 by -57541661/4682579 = -12.28845493049877 rat: replaced 6.307986092100491 by 50117738/7945125 = 6.307986092100502 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.564675233893598 by -37677750/5739469 = -6.564675233893588 rat: replaced 12.288454930498785 by 57541661/4682579 = 12.28845493049877 rat: replaced -6.307986092100491 by -50117738/7945125 = -6.307986092100502 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.730145025548487 by 85643875/12725413 = 6.730145025548484 rat: replaced -12.88016577765756 by -95571590/7420059 = -12.880165777657563 rat: replaced 5.815841798795761 by 13252960/2278769 = 5.815841798795753 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.730145025548487 by -85643875/12725413 = -6.730145025548484 rat: replaced 12.88016577765756 by 95571590/7420059 = 12.880165777657563 rat: replaced -5.815841798795761 by -13252960/2278769 = -5.815841798795753 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.747479428748281 by 4338690/643009 = 6.747479428748275 rat: replaced -12.882596721368214 by -41682376/3235557 = -12.882596721368222 rat: replaced 6.535824419703043 by 106809142/16342107 = 6.535824419703041 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.747479428748281 by -4338690/643009 = -6.747479428748275 rat: replaced 12.882596721368214 by 41682376/3235557 = 12.882596721368222 rat: replaced -6.535824419703043 by -106809142/16342107 = -6.535824419703041 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.79386801991017 by 27281701/4015636 = 6.793868019910171 rat: replaced -12.67803766730806 by -22810655/1799226 = -12.678037667308054 rat: replaced 5.835353880843722 by 75220530/12890483 = 5.83535388084372 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.79386801991017 by -27281701/4015636 = -6.793868019910171 rat: replaced 12.67803766730806 by 22810655/1799226 = 12.678037667308054 rat: replaced -5.835353880843722 by -75220530/12890483 = -5.83535388084372 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.180284711568081 by 30192514/4885295 = 6.180284711568083 rat: replaced -12.544429291998195 by -35994446/2869357 = -12.544429291998172 rat: replaced 6.305888938424255 by 38572120/6116841 = 6.305888938424262 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.180284711568081 by -30192514/4885295 = -6.180284711568083 rat: replaced 12.544429291998195 by 35994446/2869357 = 12.544429291998172 rat: replaced -6.305888938424255 by -38572120/6116841 = -6.305888938424262 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.294038797708871 by 55808332/7651225 = 7.294038797708864 rat: replaced -12.50238847539824 by -190123584/15206981 = -12.50238847539824 rat: replaced 6.0073562754219845 by 144892237/24119135 = 6.007356275421984 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.294038797708871 by -55808332/7651225 = -7.294038797708864 rat: replaced 12.50238847539824 by 190123584/15206981 = 12.50238847539824 rat: replaced -6.0073562754219845 by -144892237/24119135 = -6.007356275421984 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.9264626479260425 by 47656702/6880381 = 6.926462647926038 rat: replaced -13.107172683068585 by -69999013/5340512 = -13.10717268306859 rat: replaced 6.298557537931909 by 28775886/4568647 = 6.2985575379319085 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.9264626479260425 by -47656702/6880381 = -6.926462647926038 rat: replaced 13.107172683068585 by 69999013/5340512 = 13.10717268306859 rat: replaced -6.298557537931909 by -28775886/4568647 = -6.2985575379319085 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.263248285477715 by 57737485/9218457 = 6.263248285477711 rat: replaced -12.626069526886578 by -44213743/3501782 = -12.626069526886596 rat: replaced 6.254058818869428 by 31657289/5061879 = 6.254058818869436 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.263248285477715 by -57737485/9218457 = -6.263248285477711 rat: replaced 12.626069526886578 by 44213743/3501782 = 12.626069526886596 rat: replaced -6.254058818869428 by -31657289/5061879 = -6.254058818869436 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.561367571107014 by 64401404/9815241 = 6.5613675711070165 rat: replaced -12.960268653541602 by -70920897/5472178 = -12.960268653541606 rat: replaced 6.363317813690909 by 16131437/2535067 = 6.36331781369092 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.561367571107014 by -64401404/9815241 = -6.5613675711070165 rat: replaced 12.960268653541602 by 70920897/5472178 = 12.960268653541606 rat: replaced -6.363317813690909 by -16131437/2535067 = -6.36331781369092 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.913955981471649 by 23759547/3436462 = 6.913955981471641 rat: replaced -12.497913325988359 by -194873926/15592517 = -12.497913325988357 rat: replaced 6.162355486295761 by 100307877/16277522 = 6.162355486295764 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.913955981471649 by -23759547/3436462 = -6.913955981471641 rat: replaced 12.497913325988359 by 194873926/15592517 = 12.497913325988357 rat: replaced -6.162355486295761 by -100307877/16277522 = -6.162355486295764 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.754687180038151 by 133031747/19694731 = 6.754687180038153 rat: replaced -12.949380454072946 by -113075557/8732121 = -12.949380454072957 rat: replaced 6.4313627237009925 by 75493786/11738381 = 6.431362723700994 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.754687180038151 by -133031747/19694731 = -6.754687180038153 rat: replaced 12.949380454072946 by 113075557/8732121 = 12.949380454072957 rat: replaced -6.4313627237009925 by -75493786/11738381 = -6.431362723700994 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.598402245398653 by 83207977/12610322 = 6.598402245398651 rat: replaced -12.898237513069816 by -75100865/5822568 = -12.898237513069834 rat: replaced 5.987111126991099 by 27313183/4561997 = 5.987111126991096 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.598402245398653 by -83207977/12610322 = -6.598402245398651 rat: replaced 12.898237513069816 by 75100865/5822568 = 12.898237513069834 rat: replaced -5.987111126991099 by -27313183/4561997 = -5.987111126991096 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.981860860719793 by 76447306/10949417 = 6.981860860719799 rat: replaced -12.616255589437012 by -104675811/8296900 = -12.616255589437019 rat: replaced 6.095347801114128 by 35667397/5851577 = 6.095347801114127 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.981860860719793 by -76447306/10949417 = -6.981860860719799 rat: replaced 12.616255589437012 by 104675811/8296900 = 12.616255589437019 rat: replaced -6.095347801114128 by -35667397/5851577 = -6.095347801114127 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.278120595784474 by 75020333/11949489 = 6.278120595784473 rat: replaced -12.794165896791322 by -67734195/5294147 = -12.794165896791306 rat: replaced 6.4058492390700525 by 27204636/4246843 = 6.405849239070058 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.278120595784474 by -75020333/11949489 = -6.278120595784473 rat: replaced 12.794165896791322 by 67734195/5294147 = 12.794165896791306 rat: replaced -6.4058492390700525 by -27204636/4246843 = -6.405849239070058 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.8825228082502985 by 72089471/10474280 = 6.882522808250305 rat: replaced -13.078562178147855 by -37607981/2875544 = -13.078562178147857 rat: replaced 5.753507106511773 by 52611329/9144219 = 5.753507106511775 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.8825228082502985 by -72089471/10474280 = -6.882522808250305 rat: replaced 13.078562178147855 by 37607981/2875544 = 13.078562178147857 rat: replaced -5.753507106511773 by -52611329/9144219 = -5.753507106511775 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.708670365220774 by 16110731/2401479 = 6.708670365220766 rat: replaced -12.331289409808054 by -64920675/5264711 = -12.33128940980806 rat: replaced 6.242573750778928 by 37757015/6048309 = 6.242573750778937 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.708670365220774 by -16110731/2401479 = -6.708670365220766 rat: replaced 12.331289409808054 by 64920675/5264711 = 12.33128940980806 rat: replaced -6.242573750778928 by -37757015/6048309 = -6.242573750778937 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.633665115579331 by 74607067/11246734 = 6.633665115579332 rat: replaced -12.695476835200463 by -92896181/7317266 = -12.69547683520047 rat: replaced 6.4344571078070505 by 45244342/7031571 = 6.43445710780706 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.633665115579331 by -74607067/11246734 = -6.633665115579332 rat: replaced 12.695476835200463 by 92896181/7317266 = 12.69547683520047 rat: replaced -6.4344571078070505 by -45244342/7031571 = -6.43445710780706 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.972995105966933 by 25399825/3642599 = 6.972995105966921 rat: replaced -13.304435957120516 by -39335443/2956566 = -13.304435957120525 rat: replaced 5.952889381146489 by 79040090/13277601 = 5.9528893811464885 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.972995105966933 by -25399825/3642599 = -6.972995105966921 rat: replaced 13.304435957120516 by 39335443/2956566 = 13.304435957120525 rat: replaced -5.952889381146489 by -79040090/13277601 = -5.9528893811464885 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.767325564024308 by 78232131/11560273 = 6.7673255640243095 rat: replaced -12.574584136229499 by -20992979/1669477 = -12.57458413622949 rat: replaced 6.0598594720335655 by 47573151/7850537 = 6.059859472033569 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.767325564024308 by -78232131/11560273 = -6.7673255640243095 rat: replaced 12.574584136229499 by 20992979/1669477 = 12.57458413622949 rat: replaced -6.0598594720335655 by -47573151/7850537 = -6.059859472033569 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.0105645815279605 by 64525629/9204056 = 7.01056458152797 rat: replaced -13.134220391015235 by -116346523/8858274 = -13.134220391015225 rat: replaced 6.301405315448844 by 24248463/3848104 = 6.3014053154488545 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.0105645815279605 by -64525629/9204056 = -7.01056458152797 rat: replaced 13.134220391015235 by 116346523/8858274 = 13.134220391015225 rat: replaced -6.301405315448844 by -24248463/3848104 = -6.3014053154488545 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.107689914918154 by 45288409/6371748 = 7.107689914918167 rat: replaced -12.810835552294053 by -281970385/22010304 = -12.810835552294053 rat: replaced 5.658486272061663 by 60421141/10677969 = 5.658486272061663 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.107689914918154 by -45288409/6371748 = -7.107689914918167 rat: replaced 12.810835552294053 by 281970385/22010304 = 12.810835552294053 rat: replaced -5.658486272061663 by -60421141/10677969 = -5.658486272061663 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.969848062213428 by 158110146/22684877 = 6.96984806221343 rat: replaced -13.432310348121632 by -69321615/5160811 = -13.432310348121643 rat: replaced 5.570005103918261 by 43336294/7780297 = 5.57000510391827 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.969848062213428 by -158110146/22684877 = -6.96984806221343 rat: replaced 13.432310348121632 by 69321615/5160811 = 13.432310348121643 rat: replaced -5.570005103918261 by -43336294/7780297 = -5.57000510391827 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.768248190984248 by 64092021/9469514 = 6.768248190984247 rat: replaced -12.692816485254944 by -73067607/5756611 = -12.692816485254953 rat: replaced 6.503210379344033 by 45687251/7025338 = 6.503210379344026 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.768248190984248 by -64092021/9469514 = -6.768248190984247 rat: replaced 12.692816485254944 by 73067607/5756611 = 12.692816485254953 rat: replaced -6.503210379344033 by -45687251/7025338 = -6.503210379344026 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.8572714061674 by 37782530/5509849 = 6.857271406167392 rat: replaced -12.838261759260124 by -41533189/3235110 = -12.838261759260117 rat: replaced 6.653256690045255 by 86191164/12954733 = 6.653256690045252 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.8572714061674 by -37782530/5509849 = -6.857271406167392 rat: replaced 12.838261759260124 by 41533189/3235110 = 12.838261759260117 rat: replaced -6.653256690045255 by -86191164/12954733 = -6.653256690045252 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.684518174056136 by 59844165/8952652 = 6.684518174056135 rat: replaced -13.349122603937763 by -91911419/6885203 = -13.349122603937749 rat: replaced 6.133068890072384 by 20970551/3419259 = 6.133068890072381 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.684518174056136 by -59844165/8952652 = -6.684518174056135 rat: replaced 13.349122603937763 by 91911419/6885203 = 13.349122603937749 rat: replaced -6.133068890072384 by -20970551/3419259 = -6.133068890072381 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.269038443587836 by 417250381/57401042 = 7.269038443587836 rat: replaced -12.66691173578939 by -64419353/5085640 = -12.6669117357894 rat: replaced 5.745444146803252 by 35039700/6098693 = 5.7454441468032575 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.269038443587836 by -417250381/57401042 = -7.269038443587836 rat: replaced 12.66691173578939 by 64419353/5085640 = 12.6669117357894 rat: replaced -5.745444146803252 by -35039700/6098693 = -5.7454441468032575 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.440454245122614 by 46592951/7234420 = 6.4404542451226225 rat: replaced -12.767717897484907 by -76430381/5986221 = -12.767717897484907 rat: replaced 7.001987152409176 by 63668446/9092911 = 7.001987152409168 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.440454245122614 by -46592951/7234420 = -6.4404542451226225 rat: replaced 12.767717897484907 by 76430381/5986221 = 12.767717897484907 rat: replaced -7.001987152409176 by -63668446/9092911 = -7.001987152409168 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.929078002063165 by 48650879/7021263 = 6.929078002063162 rat: replaced -12.51135385609518 by -13591972/1086371 = -12.511353856095202 rat: replaced 6.539888372602056 by 124055136/18968999 = 6.5398883726020545 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.929078002063165 by -48650879/7021263 = -6.929078002063162 rat: replaced 12.51135385609518 by 13591972/1086371 = 12.511353856095202 rat: replaced -6.539888372602056 by -124055136/18968999 = -6.5398883726020545 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.539625324153343 by 47145238/7209165 = 6.539625324153352 rat: replaced -13.078936650799982 by -80798087/6177726 = -13.078936650799987 rat: replaced 6.209152133715507 by 104684287/16859675 = 6.209152133715508 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.539625324153343 by -47145238/7209165 = -6.539625324153352 rat: replaced 13.078936650799982 by 80798087/6177726 = 13.078936650799987 rat: replaced -6.209152133715507 by -104684287/16859675 = -6.209152133715508 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.241706650532614 by 121463748/16772807 = 7.241706650532615 rat: replaced -12.807844531128197 by -101940209/7959201 = -12.807844531128188 rat: replaced 6.3571387244116835 by 167997950/26426661 = 6.357138724411684 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.241706650532614 by -121463748/16772807 = -7.241706650532615 rat: replaced 12.807844531128197 by 101940209/7959201 = 12.807844531128188 rat: replaced -6.3571387244116835 by -167997950/26426661 = -6.357138724411684 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.883254845318233 by 22326491/3243595 = 6.883254845318235 rat: replaced -13.2524743910334 by -50172291/3785881 = -13.252474391033422 rat: replaced 6.685112135332486 by 21616036/3233459 = 6.6851121353324725 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.883254845318233 by -22326491/3243595 = -6.883254845318235 rat: replaced 13.2524743910334 by 50172291/3785881 = 13.252474391033422 rat: replaced -6.685112135332486 by -21616036/3233459 = -6.6851121353324725 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.527429820168787 by 31193014/4778759 = 6.527429820168793 rat: replaced -12.742521843471712 by -62898910/4936143 = -12.742521843471714 rat: replaced 7.033524473165567 by 65847202/9361907 = 7.0335244731655635 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.527429820168787 by -31193014/4778759 = -6.527429820168793 rat: replaced 12.742521843471712 by 62898910/4936143 = 12.742521843471714 rat: replaced -7.033524473165567 by -65847202/9361907 = -7.0335244731655635 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.759840550219664 by 38035681/4901606 = 7.759840550219662 rat: replaced -12.713504763115143 by -51817690/4075799 = -12.713504763115159 rat: replaced 6.614763127553269 by 39626314/5990587 = 6.614763127553276 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.759840550219664 by -38035681/4901606 = -7.759840550219662 rat: replaced 12.713504763115143 by 51817690/4075799 = 12.713504763115159 rat: replaced -6.614763127553269 by -39626314/5990587 = -6.614763127553276 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.724469546056855 by 65365535/8462139 = 7.724469546056854 rat: replaced -13.069604071294057 by -68156064/5214853 = -13.069604071294052 rat: replaced 6.857857810318721 by 77110391/11244093 = 6.857857810318716 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.724469546056855 by -65365535/8462139 = -7.724469546056854 rat: replaced 13.069604071294057 by 68156064/5214853 = 13.069604071294052 rat: replaced -6.857857810318721 by -77110391/11244093 = -6.857857810318716 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.902127172631699 by 62186461/9009753 = 6.902127172631703 rat: replaced -12.937467004571639 by -54281174/4195657 = -12.937467004571632 rat: replaced 6.614310706288168 by 72236263/10921208 = 6.614310706288169 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.902127172631699 by -62186461/9009753 = -6.902127172631703 rat: replaced 12.937467004571639 by 54281174/4195657 = 12.937467004571632 rat: replaced -6.614310706288168 by -72236263/10921208 = -6.614310706288169 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.942531478570034 by 75029833/10807273 = 6.942531478570033 rat: replaced -12.995749805519825 by -100551924/7737293 = -12.995749805519837 rat: replaced 6.4185180522512 by 69134641/10771122 = 6.418518052251195 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.942531478570034 by -75029833/10807273 = -6.942531478570033 rat: replaced 12.995749805519825 by 100551924/7737293 = 12.995749805519837 rat: replaced -6.4185180522512 by -69134641/10771122 = -6.418518052251195 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.157039175238451 by 9183791/1283183 = 7.15703917523845 rat: replaced -12.91463722794399 by -37155760/2877027 = -12.914637227943984 rat: replaced 6.4205821793010776 by 51853283/8076103 = 6.420582179301081 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.157039175238451 by -9183791/1283183 = -7.15703917523845 rat: replaced 12.91463722794399 by 37155760/2877027 = 12.914637227943984 rat: replaced -6.4205821793010776 by -51853283/8076103 = -6.420582179301081 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.653753845471548 by 99320404/14926973 = 6.65375384547155 rat: replaced -13.643084385564311 by -353848169/25936083 = -13.643084385564313 rat: replaced 6.60294037475793 by 54866585/8309417 = 6.6029403747579405 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.653753845471548 by -99320404/14926973 = -6.65375384547155 rat: replaced 13.643084385564311 by 353848169/25936083 = 13.643084385564313 rat: replaced -6.60294037475793 by -54866585/8309417 = -6.6029403747579405 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.614076505509642 by 41954086/6343151 = 6.614076505509644 rat: replaced -12.68735914583632 by -207469571/16352463 = -12.687359145836318 rat: replaced 5.555081130933328 by 44975920/8096357 = 5.555081130933332 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.614076505509642 by -41954086/6343151 = -6.614076505509644 rat: replaced 12.68735914583632 by 207469571/16352463 = 12.687359145836318 rat: replaced -5.555081130933328 by -44975920/8096357 = -5.555081130933332 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.9020837881677926 by 50014059/7246226 = 6.9020837881678 rat: replaced -13.315823383632393 by -147958412/11111473 = -13.315823383632395 rat: replaced 6.71780560368037 by 38752105/5768566 = 6.71780560368036 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.9020837881677926 by -50014059/7246226 = -6.9020837881678 rat: replaced 13.315823383632393 by 147958412/11111473 = 13.315823383632395 rat: replaced -6.71780560368037 by -38752105/5768566 = -6.71780560368036 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.362532473849453 by 70962629/11153205 = 6.362532473849445 rat: replaced -12.887496352201644 by -117338167/9104807 = -12.887496352201644 rat: replaced 6.898011161489789 by 89604082/12989843 = 6.898011161489789 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.362532473849453 by -70962629/11153205 = -6.362532473849445 rat: replaced 12.887496352201644 by 117338167/9104807 = 12.887496352201644 rat: replaced -6.898011161489789 by -89604082/12989843 = -6.898011161489789 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.500047879549478 by 78400438/12061517 = 6.50004787954948 rat: replaced -12.915342631803824 by -33221503/2572251 = -12.915342631803817 rat: replaced 6.349770811492576 by 67703809/10662402 = 6.3497708114925695 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.500047879549478 by -78400438/12061517 = -6.50004787954948 rat: replaced 12.915342631803824 by 33221503/2572251 = 12.915342631803817 rat: replaced -6.349770811492576 by -67703809/10662402 = -6.3497708114925695 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.332370809631236 by 128724059/17555585 = 7.332370809631237 rat: replaced -13.286789603165069 by -141091409/10618924 = -13.286789603165067 rat: replaced 6.4936970666610385 by 13532027/2083871 = 6.493697066661036 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.332370809631236 by -128724059/17555585 = -7.332370809631237 rat: replaced 13.286789603165069 by 141091409/10618924 = 13.286789603165067 rat: replaced -6.4936970666610385 by -13532027/2083871 = -6.493697066661036 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.859274943242911 by 7175659/1046125 = 6.85927494324292 rat: replaced -13.362820621989284 by -60104083/4497859 = -13.362820621989261 rat: replaced 6.802976395227937 by 104620729/15378670 = 6.802976395227936 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.859274943242911 by -7175659/1046125 = -6.85927494324292 rat: replaced 13.362820621989284 by 60104083/4497859 = 13.362820621989261 rat: replaced -6.802976395227937 by -104620729/15378670 = -6.802976395227936 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.321712349854873 by 68869725/9406232 = 7.321712349854862 rat: replaced -13.09139412486239 by -71903160/5492399 = -13.091394124862378 rat: replaced 6.0987620149241915 by 23267698/3815151 = 6.09876201492418 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.321712349854873 by -68869725/9406232 = -7.321712349854862 rat: replaced 13.09139412486239 by 71903160/5492399 = 13.091394124862378 rat: replaced -6.0987620149241915 by -23267698/3815151 = -6.09876201492418 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.854523586852123 by 69467183/10134502 = 6.854523586852122 rat: replaced -12.858935785085752 by -113735101/8844830 = -12.85893578508575 rat: replaced 6.829747149026758 by 42994153/6295131 = 6.829747149026764 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.854523586852123 by -69467183/10134502 = -6.854523586852122 rat: replaced 12.858935785085752 by 113735101/8844830 = 12.85893578508575 rat: replaced -6.829747149026758 by -42994153/6295131 = -6.829747149026764 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.673723667488772 by 23200573/3476406 = 6.67372366748878 rat: replaced -12.819009876974873 by -88576897/6909808 = -12.819009876974874 rat: replaced 6.583408829678912 by 54028713/8206799 = 6.583408829678904 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.673723667488772 by -23200573/3476406 = -6.67372366748878 rat: replaced 12.819009876974873 by 88576897/6909808 = 12.819009876974874 rat: replaced -6.583408829678912 by -54028713/8206799 = -6.583408829678904 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.974616704467708 by 47486357/6808454 = 6.97461670446771 rat: replaced -13.002299460548262 by -93056105/7156896 = -13.00229946054826 rat: replaced 6.669021559594729 by 18371087/2754690 = 6.669021559594728 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.974616704467708 by -47486357/6808454 = -6.97461670446771 rat: replaced 13.002299460548262 by 93056105/7156896 = 13.00229946054826 rat: replaced -6.669021559594729 by -18371087/2754690 = -6.669021559594728 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.154764681061243 by 97039594/13562933 = 7.154764681061242 rat: replaced -13.083960937830042 by -65973531/5042321 = -13.08396093783002 rat: replaced 6.374325561149943 by 51196524/8031677 = 6.374325561149932 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.154764681061243 by -97039594/13562933 = -7.154764681061242 rat: replaced 13.083960937830042 by 65973531/5042321 = 13.08396093783002 rat: replaced -6.374325561149943 by -51196524/8031677 = -6.374325561149932 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.192891997249821 by 24553577/3413589 = 7.1928919972498155 rat: replaced -12.942622224290865 by -31978178/2470765 = -12.942622224290858 rat: replaced 6.719627524290477 by 80209983/11936671 = 6.719627524290483 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.192891997249821 by -24553577/3413589 = -7.1928919972498155 rat: replaced 12.942622224290865 by 31978178/2470765 = 12.942622224290858 rat: replaced -6.719627524290477 by -80209983/11936671 = -6.719627524290483 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.520480462271427 by 98028499/15033938 = 6.520480462271429 rat: replaced -12.62050240228725 by -51045982/4044687 = -12.620502402287247 rat: replaced 6.737438055554933 by 38708394/5745269 = 6.737438055554927 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.520480462271427 by -98028499/15033938 = -6.520480462271429 rat: replaced 12.62050240228725 by 51045982/4044687 = 12.620502402287247 rat: replaced -6.737438055554933 by -38708394/5745269 = -6.737438055554927 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.3882154433252865 by 21992984/3442743 = 6.3882154433252785 rat: replaced -13.29544802584486 by -24425267/1837115 = -13.295448025844872 rat: replaced 6.439460625464736 by 78920426/12255751 = 6.439460625464731 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.3882154433252865 by -21992984/3442743 = -6.3882154433252785 rat: replaced 13.29544802584486 by 24425267/1837115 = 13.295448025844872 rat: replaced -6.439460625464736 by -78920426/12255751 = -6.439460625464731 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.980612503261457 by 39783467/5699137 = 6.980612503261459 rat: replaced -13.355630828514942 by -50421473/3775297 = -13.355630828514949 rat: replaced 6.547179264833347 by 17954441/2742317 = 6.547179264833351 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.980612503261457 by -39783467/5699137 = -6.980612503261459 rat: replaced 13.355630828514942 by 50421473/3775297 = 13.355630828514949 rat: replaced -6.547179264833347 by -17954441/2742317 = -6.547179264833351 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.1118297429306265 by 15521285/2539548 = 6.111829742930632 rat: replaced -13.031918761346649 by -165028791/12663430 = -13.031918761346649 rat: replaced 6.131994162116014 by 50296376/8202287 = 6.131994162116005 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.1118297429306265 by -15521285/2539548 = -6.111829742930632 rat: replaced 13.031918761346649 by 165028791/12663430 = 13.031918761346649 rat: replaced -6.131994162116014 by -50296376/8202287 = -6.131994162116005 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.341575009537629 by 30934539/4878053 = 6.341575009537617 rat: replaced -13.254235628336966 by -69838834/5269171 = -13.254235628336982 rat: replaced 6.397795478969961 by 34677491/5420225 = 6.397795478969969 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.341575009537629 by -30934539/4878053 = -6.341575009537617 rat: replaced 13.254235628336966 by 69838834/5269171 = 13.254235628336982 rat: replaced -6.397795478969961 by -34677491/5420225 = -6.397795478969969 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.692033354011176 by 50529911/7550756 = 6.6920333540111745 rat: replaced -13.127800255257394 by -36041903/2745464 = -13.1278002552574 rat: replaced 5.895036438324049 by 52249671/8863333 = 5.895036438324048 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.692033354011176 by -50529911/7550756 = -6.6920333540111745 rat: replaced 13.127800255257394 by 36041903/2745464 = 13.1278002552574 rat: replaced -5.895036438324049 by -52249671/8863333 = -5.895036438324048 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.358402519270289 by 90892938/14294933 = 6.35840251927029 rat: replaced -13.257423697583446 by -47113185/3553721 = -13.257423697583462 rat: replaced 6.599045610448337 by 48132627/7293877 = 6.599045610448325 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.358402519270289 by -90892938/14294933 = -6.35840251927029 rat: replaced 13.257423697583446 by 47113185/3553721 = 13.257423697583462 rat: replaced -6.599045610448337 by -48132627/7293877 = -6.599045610448325 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.336865103982535 by 22799483/3597912 = 6.336865103982532 rat: replaced -13.189950020632793 by -13456664/1020221 = -13.189950020632784 rat: replaced 6.500887062766298 by 28658309/4408369 = 6.500887062766298 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.336865103982535 by -22799483/3597912 = -6.336865103982532 rat: replaced 13.189950020632793 by 13456664/1020221 = 13.189950020632784 rat: replaced -6.500887062766298 by -28658309/4408369 = -6.500887062766298 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.013524297894996 by 76819321/10953027 = 7.013524297895002 rat: replaced -12.809808678658055 by -35866811/2799949 = -12.809808678658076 rat: replaced 6.20908880434117 by 48353782/7787581 = 6.209088804341168 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.013524297894996 by -76819321/10953027 = -7.013524297895002 rat: replaced 12.809808678658055 by 35866811/2799949 = 12.809808678658076 rat: replaced -6.20908880434117 by -48353782/7787581 = -6.209088804341168 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.2263335858376205 by 111513180/17909927 = 6.22633358583762 rat: replaced -13.149507889783784 by -73461764/5586655 = -13.149507889783779 rat: replaced 5.968716878502791 by 43598767/7304546 = 5.968716878502785 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.2263335858376205 by -111513180/17909927 = -6.22633358583762 rat: replaced 13.149507889783784 by 73461764/5586655 = 13.149507889783779 rat: replaced -5.968716878502791 by -43598767/7304546 = -5.968716878502785 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.083541272192587 by 56923451/8036016 = 7.083541272192589 rat: replaced -12.352893892212379 by -51680901/4183708 = -12.352893892212363 rat: replaced 5.988178743343992 by 17571562/2934375 = 5.988178743343983 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.083541272192587 by -56923451/8036016 = -7.083541272192589 rat: replaced 12.352893892212379 by 51680901/4183708 = 12.352893892212363 rat: replaced -5.988178743343992 by -17571562/2934375 = -5.988178743343983 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.217680344932422 by 52253168/8403965 = 6.217680344932422 rat: replaced -13.081062287193538 by -44169528/3376601 = -13.081062287193541 rat: replaced 6.122882638125174 by 24240823/3959054 = 6.122882638125168 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.217680344932422 by -52253168/8403965 = -6.217680344932422 rat: replaced 13.081062287193538 by 44169528/3376601 = 13.081062287193541 rat: replaced -6.122882638125174 by -24240823/3959054 = -6.122882638125168 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.12081736147893 by 200653774/28178475 = 7.12081736147893 rat: replaced -12.563079962616055 by -468300037/37275894 = -12.563079962616055 rat: replaced 6.514560674435007 by 73249844/11244019 = 6.514560674435004 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.12081736147893 by -200653774/28178475 = -7.12081736147893 rat: replaced 12.563079962616055 by 468300037/37275894 = 12.563079962616055 rat: replaced -6.514560674435007 by -73249844/11244019 = -6.514560674435004 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.203731592023719 by 32656626/4533293 = 7.203731592023723 rat: replaced -13.040024700911184 by -82270546/6309079 = -13.040024700911179 rat: replaced 6.329897804124939 by 47583304/7517231 = 6.32989780412495 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.203731592023719 by -32656626/4533293 = -7.203731592023723 rat: replaced 13.040024700911184 by 82270546/6309079 = 13.040024700911179 rat: replaced -6.329897804124939 by -47583304/7517231 = -6.32989780412495 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.527056405635325 by 64552503/9889987 = 6.5270564056353155 rat: replaced -12.62737301815653 by -162339389/12856149 = -12.627373018156526 rat: replaced 6.557451870094612 by 45371239/6919035 = 6.557451870094601 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.527056405635325 by -64552503/9889987 = -6.5270564056353155 rat: replaced 12.62737301815653 by 162339389/12856149 = 12.627373018156526 rat: replaced -6.557451870094612 by -45371239/6919035 = -6.557451870094601 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.113423322159035 by 161546932/22710153 = 7.113423322159036 rat: replaced -13.329284482831918 by -29789258/2234873 = -13.32928448283191 rat: replaced 6.588193371723869 by 32401071/4918051 = 6.58819337172388 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.113423322159035 by -161546932/22710153 = -7.113423322159036 rat: replaced 13.329284482831918 by 29789258/2234873 = 13.32928448283191 rat: replaced -6.588193371723869 by -32401071/4918051 = -6.58819337172388 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.605104697815042 by 48432452/7332579 = 6.605104697815053 rat: replaced -13.120322399824598 by -88031551/6709557 = -13.120322399824609 rat: replaced 6.4296373429199205 by 60326426/9382555 = 6.429637342919919 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.605104697815042 by -48432452/7332579 = -6.605104697815053 rat: replaced 13.120322399824598 by 88031551/6709557 = 13.120322399824609 rat: replaced -6.4296373429199205 by -60326426/9382555 = -6.429637342919919 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.30886419710004 by 33092571/4527731 = 7.308864197100049 rat: replaced -13.452164070049445 by -65873687/4896884 = -13.452164070049443 rat: replaced 7.3021811033878645 by 11155637/1527713 = 7.302181103387874 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.30886419710004 by -33092571/4527731 = -7.308864197100049 rat: replaced 13.452164070049445 by 65873687/4896884 = 13.452164070049443 rat: replaced -7.3021811033878645 by -11155637/1527713 = -7.302181103387874 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.6181139319385895 by 25712094/3885109 = 6.6181139319385895 rat: replaced -12.942949990466255 by -55321857/4274285 = -12.942949990466241 rat: replaced 6.183792495378445 by 82432916/13330479 = 6.183792495378448 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.6181139319385895 by -25712094/3885109 = -6.6181139319385895 rat: replaced 12.942949990466255 by 55321857/4274285 = 12.942949990466241 rat: replaced -6.183792495378445 by -82432916/13330479 = -6.183792495378448 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.980678328248669 by 60388843/8650856 = 6.980678328248673 rat: replaced -13.16895233083442 by -59658857/4530266 = -13.168952330834436 rat: replaced 6.18623462968083 by 88396016/14289147 = 6.186234629680834 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.980678328248669 by -60388843/8650856 = -6.980678328248673 rat: replaced 13.16895233083442 by 59658857/4530266 = 13.168952330834436 rat: replaced -6.18623462968083 by -88396016/14289147 = -6.186234629680834 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.855219950314873 by 83992609/12252358 = 6.85521995031487 rat: replaced -13.042053938687397 by -66106011/5068681 = -13.042053938687403 rat: replaced 6.2682767225225025 by 28727437/4582988 = 6.268276722522511 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.855219950314873 by -83992609/12252358 = -6.85521995031487 rat: replaced 13.042053938687397 by 66106011/5068681 = 13.042053938687403 rat: replaced -6.2682767225225025 by -28727437/4582988 = -6.268276722522511 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.088780995277152 by 89863704/12676891 = 7.088780995277154 rat: replaced -12.808316286675653 by -16855693/1315996 = -12.808316286675643 rat: replaced 6.517184956680077 by 14513999/2227035 = 6.51718495668007 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.088780995277152 by -89863704/12676891 = -7.088780995277154 rat: replaced 12.808316286675653 by 16855693/1315996 = 12.808316286675643 rat: replaced -6.517184956680077 by -14513999/2227035 = -6.51718495668007 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.688274182620841 by 242482919/36254931 = 6.688274182620841 rat: replaced -13.401019602980636 by -41285955/3080807 = -13.401019602980648 rat: replaced 6.997119587409872 by 52108928/7447197 = 6.997119587409867 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.688274182620841 by -242482919/36254931 = -6.688274182620841 rat: replaced 13.401019602980636 by 41285955/3080807 = 13.401019602980648 rat: replaced -6.997119587409872 by -52108928/7447197 = -6.997119587409867 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.057074926629249 by 62103452/8800169 = 7.05707492662925 rat: replaced -13.096746015778267 by -180248564/13762851 = -13.09674601577827 rat: replaced 6.764905924881581 by 119279721/17632133 = 6.764905924881578 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.057074926629249 by -62103452/8800169 = -7.05707492662925 rat: replaced 13.096746015778267 by 180248564/13762851 = 13.09674601577827 rat: replaced -6.764905924881581 by -119279721/17632133 = -6.764905924881578 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.358965157140198 by 48496331/6590102 = 7.358965157140208 rat: replaced -13.409637399671562 by -72206727/5384689 = -13.409637399671551 rat: replaced 6.7998128779316005 by 44464296/6539047 = 6.7998128779316005 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.358965157140198 by -48496331/6590102 = -7.358965157140208 rat: replaced 13.409637399671562 by 72206727/5384689 = 13.409637399671551 rat: replaced -6.7998128779316005 by -44464296/6539047 = -6.7998128779316005 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.673226522969289 by 65022658/9743811 = 6.673226522969298 rat: replaced -12.972687332981192 by -43054572/3318863 = -12.972687332981204 rat: replaced 6.042590800868423 by 93586891/15487875 = 6.042590800868421 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.673226522969289 by -65022658/9743811 = -6.673226522969298 rat: replaced 12.972687332981192 by 43054572/3318863 = 12.972687332981204 rat: replaced -6.042590800868423 by -93586891/15487875 = -6.042590800868421 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.9405819680495 by 27887883/4018090 = 6.9405819680494965 rat: replaced -13.094367079295388 by -33284755/2541914 = -13.094367079295365 rat: replaced 6.601242941246647 by 56488704/8557283 = 6.601242941246655 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.9405819680495 by -27887883/4018090 = -6.9405819680494965 rat: replaced 13.094367079295388 by 33284755/2541914 = 13.094367079295365 rat: replaced -6.601242941246647 by -56488704/8557283 = -6.601242941246655 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.497568774860759 by 29575802/3944719 = 7.49756877486077 rat: replaced -13.999927233143751 by -99467845/7104883 = -13.99992723314374 rat: replaced 6.877088591248408 by 48993617/7124180 = 6.8770885912483966 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.497568774860759 by -29575802/3944719 = -7.49756877486077 rat: replaced 13.999927233143751 by 99467845/7104883 = 13.99992723314374 rat: replaced -6.877088591248408 by -48993617/7124180 = -6.8770885912483966 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.178190989246934 by 56419849/7859898 = 7.178190989246934 rat: replaced -13.171162774138798 by -26637083/2022379 = -13.171162774138773 rat: replaced 6.598385745544089 by 17855344/2706017 = 6.598385745544097 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.178190989246934 by -56419849/7859898 = -7.178190989246934 rat: replaced 13.171162774138798 by 26637083/2022379 = 13.171162774138773 rat: replaced -6.598385745544089 by -17855344/2706017 = -6.598385745544097 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.3808456563058975 by 88525324/11993927 = 7.380845656305896 rat: replaced -13.153622795289207 by -12317105/936404 = -13.153622795289213 rat: replaced 6.752093262297425 by 52210075/7732428 = 6.752093262297431 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.3808456563058975 by -88525324/11993927 = -7.380845656305896 rat: replaced 13.153622795289207 by 12317105/936404 = 13.153622795289213 rat: replaced -6.752093262297425 by -52210075/7732428 = -6.752093262297431 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.388199600186588 by 86966431/11770991 = 7.388199600186594 rat: replaced -13.075583803973691 by -67574081/5167959 = -13.075583803973677 rat: replaced 6.861112747234785 by 503105576/73327111 = 6.861112747234785 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.388199600186588 by -86966431/11770991 = -7.388199600186594 rat: replaced 13.075583803973691 by 67574081/5167959 = 13.075583803973677 rat: replaced -6.861112747234785 by -503105576/73327111 = -6.861112747234785 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.530013605057222 by 48928099/7492802 = 6.530013605057227 rat: replaced -13.344041867324737 by -23868461/1788698 = -13.344041867324725 rat: replaced 6.671269537245047 by 155921939/23372154 = 6.671269537245048 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.530013605057222 by -48928099/7492802 = -6.530013605057227 rat: replaced 13.344041867324737 by 23868461/1788698 = 13.344041867324725 rat: replaced -6.671269537245047 by -155921939/23372154 = -6.671269537245048 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.0187392631765615 by 36219467/5160395 = 7.018739263176559 rat: replaced -13.09344539039758 by -49235885/3760346 = -13.093445390397585 rat: replaced 6.399728225119379 by 18193109/2842794 = 6.399728225119372 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.0187392631765615 by -36219467/5160395 = -7.018739263176559 rat: replaced 13.09344539039758 by 49235885/3760346 = 13.093445390397585 rat: replaced -6.399728225119379 by -18193109/2842794 = -6.399728225119372 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.245924631146059 by 122935321/16966133 = 7.24592463114606 rat: replaced -12.859177764993218 by -17948596/1395781 = -12.859177764993218 rat: replaced 6.361026385933187 by 206188084/32414279 = 6.3610263859331875 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.245924631146059 by -122935321/16966133 = -7.24592463114606 rat: replaced 12.859177764993218 by 17948596/1395781 = 12.859177764993218 rat: replaced -6.361026385933187 by -206188084/32414279 = -6.3610263859331875 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.487240211462733 by 84629383/13045514 = 6.48724021146273 rat: replaced -12.76733881149466 by -61028786/4780071 = -12.767338811494641 rat: replaced 6.866992003056463 by 95440442/13898435 = 6.866992003056459 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.487240211462733 by -84629383/13045514 = -6.48724021146273 rat: replaced 12.76733881149466 by 61028786/4780071 = 12.767338811494641 rat: replaced -6.866992003056463 by -95440442/13898435 = -6.866992003056459 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.40489420182314 by 206268087/32204761 = 6.40489420182314 rat: replaced -12.535357024802689 by -51309059/4093147 = -12.535357024802677 rat: replaced 6.709811359817985 by 96125140/14326057 = 6.709811359817988 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.40489420182314 by -206268087/32204761 = -6.40489420182314 rat: replaced 12.535357024802689 by 51309059/4093147 = 12.535357024802677 rat: replaced -6.709811359817985 by -96125140/14326057 = -6.709811359817988 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.549564596444943 by 15830743/2417068 = 6.549564596444949 rat: replaced -13.833879158435774 by -70961478/5129543 = -13.833879158435751 rat: replaced 6.416347440938315 by 54793509/8539673 = 6.4163474409383126 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.549564596444943 by -15830743/2417068 = -6.549564596444949 rat: replaced 13.833879158435774 by 70961478/5129543 = 13.833879158435751 rat: replaced -6.416347440938315 by -54793509/8539673 = -6.4163474409383126 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.369767023405184 by 37558271/5096263 = 7.369767023405189 rat: replaced -12.743568779328 by -88780353/6966679 = -12.743568779327997 rat: replaced 6.7849541640257796 by 62902523/9270884 = 6.784954164025782 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.369767023405184 by -37558271/5096263 = -7.369767023405189 rat: replaced 12.743568779328 by 88780353/6966679 = 12.743568779327997 rat: replaced -6.7849541640257796 by -62902523/9270884 = -6.784954164025782 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.093332494549341 by 86596460/12208149 = 7.093332494549338 rat: replaced -13.170366098336503 by -73008265/5543374 = -13.170366098336501 rat: replaced 6.612193240253849 by 43290168/6547021 = 6.61219324025385 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.093332494549341 by -86596460/12208149 = -7.093332494549338 rat: replaced 13.170366098336503 by 73008265/5543374 = 13.170366098336501 rat: replaced -6.612193240253849 by -43290168/6547021 = -6.61219324025385 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.8912273796257715 by 52137655/7565801 = 6.891227379625766 rat: replaced -13.04141545740339 by -77798277/5965478 = -13.041415457403414 rat: replaced 6.7420356207489265 by 62541381/9276335 = 6.742035620748927 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.8912273796257715 by -52137655/7565801 = -6.891227379625766 rat: replaced 13.04141545740339 by 77798277/5965478 = 13.041415457403414 rat: replaced -6.7420356207489265 by -62541381/9276335 = -6.742035620748927 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.4121898373873325 by 138903007/18739807 = 7.4121898373873325 rat: replaced -12.818834740415959 by -86299613/6732251 = -12.818834740415946 rat: replaced 6.922432247729639 by 82119007/11862739 = 6.922432247729635 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.4121898373873325 by -138903007/18739807 = -7.4121898373873325 rat: replaced 12.818834740415959 by 86299613/6732251 = 12.818834740415946 rat: replaced -6.922432247729639 by -82119007/11862739 = -6.922432247729635 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.041222500918041 by 38444758/5459955 = 7.041222500918048 rat: replaced -13.186210122777839 by -88931691/6744295 = -13.186210122777844 rat: replaced 7.291424536703966 by 68156044/9347425 = 7.291424536703959 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.041222500918041 by -38444758/5459955 = -7.041222500918048 rat: replaced 13.186210122777839 by 88931691/6744295 = 13.186210122777844 rat: replaced -7.291424536703966 by -68156044/9347425 = -7.291424536703959 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.065665228222858 by 139060933/19681223 = 7.06566522822286 rat: replaced -13.517319740762629 by -155011716/11467637 = -13.517319740762636 rat: replaced 6.530233682112016 by 132440035/20281056 = 6.530233682112017 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.065665228222858 by -139060933/19681223 = -7.06566522822286 rat: replaced 13.517319740762629 by 155011716/11467637 = 13.517319740762636 rat: replaced -6.530233682112016 by -132440035/20281056 = -6.530233682112017 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.107322974679025 by 17136637/2411124 = 7.107322974679029 rat: replaced -13.068416027671107 by -78828594/6031993 = -13.06841602767112 rat: replaced 6.729426304439632 by 42901627/6375228 = 6.729426304439621 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.107322974679025 by -17136637/2411124 = -7.107322974679029 rat: replaced 13.068416027671107 by 78828594/6031993 = 13.06841602767112 rat: replaced -6.729426304439632 by -42901627/6375228 = -6.729426304439621 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.965756036482507 by 50892343/7306076 = 6.965756036482511 rat: replaced -12.91295245541544 by -38217187/2959601 = -12.912952455415443 rat: replaced 6.764750597732347 by 80421141/11888264 = 6.764750597732352 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.965756036482507 by -50892343/7306076 = -6.965756036482511 rat: replaced 12.91295245541544 by 38217187/2959601 = 12.912952455415443 rat: replaced -6.764750597732347 by -80421141/11888264 = -6.764750597732352 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.19715775341251 by 53853467/7482602 = 7.197157753412516 rat: replaced -13.25529134062007 by -48052035/3625121 = -13.25529134062008 rat: replaced 6.277920684722252 by 52762527/8404459 = 6.277920684722241 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.19715775341251 by -53853467/7482602 = -7.197157753412516 rat: replaced 13.25529134062007 by 48052035/3625121 = 13.25529134062008 rat: replaced -6.277920684722252 by -52762527/8404459 = -6.277920684722241 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.635088630330534 by 85275506/12852203 = 6.635088630330536 rat: replaced -12.807954618155648 by -81479891/6361663 = -12.807954618155662 rat: replaced 6.7311439291449755 by 14841856/2204953 = 6.731143929144975 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.635088630330534 by -85275506/12852203 = -6.635088630330536 rat: replaced 12.807954618155648 by 81479891/6361663 = 12.807954618155662 rat: replaced -6.7311439291449755 by -14841856/2204953 = -6.731143929144975 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.083145351543984 by 82779721/11686859 = 7.083145351543986 rat: replaced -12.883531147082232 by -64731228/5024339 = -12.883531147082232 rat: replaced 7.0875236971637285 by 46762319/6597836 = 7.0875236971637365 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.083145351543984 by -82779721/11686859 = -7.083145351543986 rat: replaced 12.883531147082232 by 64731228/5024339 = 12.883531147082232 rat: replaced -7.0875236971637285 by -46762319/6597836 = -7.0875236971637365 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.538074061813735 by 52299957/7999291 = 6.538074061813728 rat: replaced -13.196533574453587 by -73732385/5587254 = -13.19653357445357 rat: replaced 6.7140131880978435 by 199817284/29761229 = 6.7140131880978435 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.538074061813735 by -52299957/7999291 = -6.538074061813728 rat: replaced 13.196533574453587 by 73732385/5587254 = 13.19653357445357 rat: replaced -6.7140131880978435 by -199817284/29761229 = -6.7140131880978435 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.964025031958337 by 155974167/22397129 = 6.964025031958337 rat: replaced -12.993575279888809 by -52496331/4040176 = -12.993575279888796 rat: replaced 6.211948987107705 by 48772664/7851427 = 6.211948987107694 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.964025031958337 by -155974167/22397129 = -6.964025031958337 rat: replaced 12.993575279888809 by 52496331/4040176 = 12.993575279888796 rat: replaced -6.211948987107705 by -48772664/7851427 = -6.211948987107694 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.9331308193088415 by 39790562/5739191 = 6.933130819308854 rat: replaced -12.992194845935614 by -2999516482/230870651 = -12.992194845935614 rat: replaced 6.390570897994043 by 89336219/13979380 = 6.390570897994046 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.9331308193088415 by -39790562/5739191 = -6.933130819308854 rat: replaced 12.992194845935614 by 2999516482/230870651 = 12.992194845935614 rat: replaced -6.390570897994043 by -89336219/13979380 = -6.390570897994046 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.938835608059454 by 36925659/5321593 = 6.938835608059466 rat: replaced -13.37651477412286 by -85577203/6397571 = -13.376514774122866 rat: replaced 7.296508662823832 by 25251925/3460823 = 7.296508662823843 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.938835608059454 by -36925659/5321593 = -6.938835608059466 rat: replaced 13.37651477412286 by 85577203/6397571 = 13.376514774122866 rat: replaced -7.296508662823832 by -25251925/3460823 = -7.296508662823843 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.937624594654372 by 39895837/5750648 = 6.937624594654376 rat: replaced -13.238283812958743 by -101408087/7660214 = -13.23828381295875 rat: replaced 6.694255462917641 by 110977675/16578046 = 6.694255462917644 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.937624594654372 by -39895837/5750648 = -6.937624594654376 rat: replaced 13.238283812958743 by 101408087/7660214 = 13.23828381295875 rat: replaced -6.694255462917641 by -110977675/16578046 = -6.694255462917644 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.779650643796549 by 32756377/4831573 = 6.779650643796544 rat: replaced -13.069004738482057 by -81188931/6212327 = -13.069004738482054 rat: replaced 6.155332426928487 by 75116747/12203524 = 6.155332426928484 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.779650643796549 by -32756377/4831573 = -6.779650643796544 rat: replaced 13.069004738482057 by 81188931/6212327 = 13.069004738482054 rat: replaced -6.155332426928487 by -75116747/12203524 = -6.155332426928484 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.080403431692462 by 62242984/8790881 = 7.080403431692455 rat: replaced -13.047199387672325 by -30018070/2300729 = -13.047199387672341 rat: replaced 6.149982829245062 by 60834517/9891819 = 6.149982829245056 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.080403431692462 by -62242984/8790881 = -7.080403431692455 rat: replaced 13.047199387672325 by 30018070/2300729 = 13.047199387672341 rat: replaced -6.149982829245062 by -60834517/9891819 = -6.149982829245056 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.740813429868236 by 41208608/6113299 = 6.7408134298682265 rat: replaced -13.27601639862925 by -97476774/7342321 = -13.276016398629261 rat: replaced 6.311101569681538 by 27119119/4297050 = 6.311101569681526 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.740813429868236 by -41208608/6113299 = -6.7408134298682265 rat: replaced 13.27601639862925 by 97476774/7342321 = 13.276016398629261 rat: replaced -6.311101569681538 by -27119119/4297050 = -6.311101569681526 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.384197412093236 by 44855765/6074562 = 7.3841974120932505 rat: replaced -13.408650318421513 by -86891366/6480247 = -13.408650318421504 rat: replaced 6.468101670777674 by 37270282/5762167 = 6.468101670777678 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.384197412093236 by -44855765/6074562 = -7.3841974120932505 rat: replaced 13.408650318421513 by 86891366/6480247 = 13.408650318421504 rat: replaced -6.468101670777674 by -37270282/5762167 = -6.468101670777678 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.617776351845182 by 53636809/7041006 = 7.617776351845177 rat: replaced -12.791457621576642 by -46318239/3621029 = -12.79145762157663 rat: replaced 7.207864088139195 by 124059479/17211684 = 7.207864088139196 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.617776351845182 by -53636809/7041006 = -7.617776351845177 rat: replaced 12.791457621576642 by 46318239/3621029 = 12.79145762157663 rat: replaced -7.207864088139195 by -124059479/17211684 = -7.207864088139196 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.979669847038074 by 73492315/10529483 = 6.979669847038074 rat: replaced -13.358541332337412 by -129017046/9658019 = -13.358541332337408 rat: replaced 6.853932993210295 by 18078434/2637673 = 6.853932993210303 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.979669847038074 by -73492315/10529483 = -6.979669847038074 rat: replaced 13.358541332337412 by 129017046/9658019 = 13.358541332337408 rat: replaced -6.853932993210295 by -18078434/2637673 = -6.853932993210303 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.889269265739285 by 229078723/33251527 = 6.889269265739284 rat: replaced -13.484639096489444 by -71177764/5278433 = -13.484639096489431 rat: replaced 6.603222613936147 by 78803935/11934163 = 6.6032226139361425 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.889269265739285 by -229078723/33251527 = -6.889269265739284 rat: replaced 13.484639096489444 by 71177764/5278433 = 13.484639096489431 rat: replaced -6.603222613936147 by -78803935/11934163 = -6.6032226139361425 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.113832895850276 by 100771007/14165501 = 7.113832895850277 rat: replaced -13.256684426938447 by -29428991/2219936 = -13.256684426938435 rat: replaced 6.960454912174332 by 95954089/13785606 = 6.960454912174336 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.113832895850276 by -100771007/14165501 = -7.113832895850277 rat: replaced 13.256684426938447 by 29428991/2219936 = 13.256684426938435 rat: replaced -6.960454912174332 by -95954089/13785606 = -6.960454912174336 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.8661565016637995 by 44373326/6462615 = 6.8661565016638 rat: replaced -12.992462490132135 by -81714079/6289345 = -12.99246249013212 rat: replaced 6.489964673352486 by 361991785/55777158 = 6.489964673352486 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.8661565016637995 by -44373326/6462615 = -6.8661565016638 rat: replaced 12.992462490132135 by 81714079/6289345 = 12.99246249013212 rat: replaced -6.489964673352486 by -361991785/55777158 = -6.489964673352486 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.273024672112328 by 96458817/13262545 = 7.273024672112328 rat: replaced -13.234262009228402 by -52558879/3971425 = -13.234262009228425 rat: replaced 6.755346792758954 by 53421046/7907965 = 6.755346792758946 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.273024672112328 by -96458817/13262545 = -7.273024672112328 rat: replaced 13.234262009228402 by 52558879/3971425 = 13.234262009228425 rat: replaced -6.755346792758954 by -53421046/7907965 = -6.755346792758946 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.246225239544871 by 60181560/8305229 = 7.24622523954487 rat: replaced -13.36439966805897 by -77462867/5796210 = -13.364399668058956 rat: replaced 6.453936652509614 by 56772441/8796560 = 6.453936652509618 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.246225239544871 by -60181560/8305229 = -7.24622523954487 rat: replaced 13.36439966805897 by 77462867/5796210 = 13.364399668058956 rat: replaced -6.453936652509614 by -56772441/8796560 = -6.453936652509618 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.877235528130347 by 40498809/5888821 = 6.877235528130334 rat: replaced -13.674830527624982 by -38668961/2827747 = -13.674830527624996 rat: replaced 7.279890741915839 by 56593048/7773887 = 7.279890741915852 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.877235528130347 by -40498809/5888821 = -6.877235528130334 rat: replaced 13.674830527624982 by 38668961/2827747 = 13.674830527624996 rat: replaced -7.279890741915839 by -56593048/7773887 = -7.279890741915852 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.735141026944938 by 46819151/6951473 = 6.7351410269449365 rat: replaced -13.2943124305462 by -52674286/3962167 = -13.294312430546213 rat: replaced 6.93024469134489 by 104738479/15113244 = 6.930244691344889 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.735141026944938 by -46819151/6951473 = -6.7351410269449365 rat: replaced 13.2943124305462 by 52674286/3962167 = 13.294312430546213 rat: replaced -6.93024469134489 by -104738479/15113244 = -6.930244691344889 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.214298054324625 by 55998745/7762189 = 7.214298054324624 rat: replaced -12.704213720639933 by -78901895/6210687 = -12.704213720639922 rat: replaced 6.875709219928207 by 139226291/20249008 = 6.875709219928206 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.214298054324625 by -55998745/7762189 = -7.214298054324624 rat: replaced 12.704213720639933 by 78901895/6210687 = 12.704213720639922 rat: replaced -6.875709219928207 by -139226291/20249008 = -6.875709219928206 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.349026318910104 by 64514111/8778593 = 7.349026318910103 rat: replaced -13.486078142750557 by -443518958/32887171 = -13.486078142750557 rat: replaced 6.882834609902796 by 48730765/7080043 = 6.882834609902793 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.349026318910104 by -64514111/8778593 = -7.349026318910103 rat: replaced 13.486078142750557 by 443518958/32887171 = 13.486078142750557 rat: replaced -6.882834609902796 by -48730765/7080043 = -6.882834609902793 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.315982405675367 by 32964268/5219183 = 6.315982405675371 rat: replaced -13.1079304652261 by -124691915/9512708 = -13.107930465226096 rat: replaced 6.6660857027942395 by 122050883/18309228 = 6.666085702794241 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.315982405675367 by -32964268/5219183 = -6.315982405675371 rat: replaced 13.1079304652261 by 124691915/9512708 = 13.107930465226096 rat: replaced -6.6660857027942395 by -122050883/18309228 = -6.666085702794241 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.429468282618599 by 29491943/3969590 = 7.429468282618608 rat: replaced -13.223319585948143 by -91166881/6894402 = -13.223319585948136 rat: replaced 6.588115936522285 by 147033611/22318006 = 6.588115936522286 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.429468282618599 by -29491943/3969590 = -7.429468282618608 rat: replaced 13.223319585948143 by 91166881/6894402 = 13.223319585948136 rat: replaced -6.588115936522285 by -147033611/22318006 = -6.588115936522286 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.732960507422406 by 79174209/11759197 = 6.732960507422403 rat: replaced -13.398652755017828 by -67969637/5072871 = -13.39865275501782 rat: replaced 7.043481089968365 by 81292661/11541546 = 7.043481089968363 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.732960507422406 by -79174209/11759197 = -6.732960507422403 rat: replaced 13.398652755017828 by 67969637/5072871 = 13.39865275501782 rat: replaced -7.043481089968365 by -81292661/11541546 = -7.043481089968363 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.349630183257824 by 16186142/2202307 = 7.349630183257829 rat: replaced -13.567121849387046 by -41814670/3082059 = -13.56712184938705 rat: replaced 7.081591472221955 by 39541022/5583635 = 7.081591472221948 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.349630183257824 by -16186142/2202307 = -7.349630183257829 rat: replaced 13.567121849387046 by 41814670/3082059 = 13.56712184938705 rat: replaced -7.081591472221955 by -39541022/5583635 = -7.081591472221948 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.276900703469904 by 95437506/13115131 = 7.2769007034699085 rat: replaced -12.997634470857646 by -188843879/14529096 = -12.99763447085765 rat: replaced 6.942873797391701 by 42295036/6091863 = 6.942873797391701 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.276900703469904 by -95437506/13115131 = -7.2769007034699085 rat: replaced 12.997634470857646 by 188843879/14529096 = 12.99763447085765 rat: replaced -6.942873797391701 by -42295036/6091863 = -6.942873797391701 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.009236417026841 by 44502392/6349107 = 7.009236417026836 rat: replaced -13.751499356590976 by -98507573/7163406 = -13.751499356590985 rat: replaced 6.849420288948119 by 55819289/8149491 = 6.8494202889481075 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.009236417026841 by -44502392/6349107 = -7.009236417026836 rat: replaced 13.751499356590976 by 98507573/7163406 = 13.751499356590985 rat: replaced -6.849420288948119 by -55819289/8149491 = -6.8494202889481075 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.352480564164228 by 31861901/4333490 = 7.352480564164218 rat: replaced -13.17199920724967 by -56293555/4273729 = -13.171999207249687 rat: replaced 7.432344659274091 by 158421021/21315080 = 7.432344659274092 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.352480564164228 by -31861901/4333490 = -7.352480564164218 rat: replaced 13.17199920724967 by 56293555/4273729 = 13.171999207249687 rat: replaced -7.432344659274091 by -158421021/21315080 = -7.432344659274092 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.440812925069194 by 46670371/6272214 = 7.440812925069202 rat: replaced -13.625170378292902 by -51950581/3812839 = -13.62517037829292 rat: replaced 6.8260203501226115 by 54663515/8008109 = 6.826020350122607 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.440812925069194 by -46670371/6272214 = -7.440812925069202 rat: replaced 13.625170378292902 by 51950581/3812839 = 13.62517037829292 rat: replaced -6.8260203501226115 by -54663515/8008109 = -6.826020350122607 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.14326961412669 by 101606017/14224021 = 7.1432696141266945 rat: replaced -13.302547495260571 by -19072155/1433722 = -13.302547495260587 rat: replaced 6.737101716337883 by 100731245/14951718 = 6.7371017163378815 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.14326961412669 by -101606017/14224021 = -7.1432696141266945 rat: replaced 13.302547495260571 by 19072155/1433722 = 13.302547495260587 rat: replaced -6.737101716337883 by -100731245/14951718 = -6.7371017163378815 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.518881235146988 by 31367129/4811735 = 6.518881235146989 rat: replaced -13.15660027014721 by -63536104/4829219 = -13.156600270147202 rat: replaced 6.834247897758013 by 99197345/14514742 = 6.834247897758018 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.518881235146988 by -31367129/4811735 = -6.518881235146989 rat: replaced 13.15660027014721 by 63536104/4829219 = 13.156600270147202 rat: replaced -6.834247897758013 by -99197345/14514742 = -6.834247897758018 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.0249455130408816 by 21966267/3126895 = 7.024945513040892 rat: replaced -12.78452785443103 by -291505811/22801453 = -12.784527854431031 rat: replaced 6.6149786186055985 by 159827323/24161427 = 6.614978618605598 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.0249455130408816 by -21966267/3126895 = -7.024945513040892 rat: replaced 12.78452785443103 by 291505811/22801453 = 12.784527854431031 rat: replaced -6.6149786186055985 by -159827323/24161427 = -6.614978618605598 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.805525215846142 by 93518921/13741617 = 6.805525215846141 rat: replaced -13.397149238154476 by -28985563/2163562 = -13.397149238154487 rat: replaced 6.762400711072529 by 49353833/7298271 = 6.762400711072527 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.805525215846142 by -93518921/13741617 = -6.805525215846141 rat: replaced 13.397149238154476 by 28985563/2163562 = 13.397149238154487 rat: replaced -6.762400711072529 by -49353833/7298271 = -6.762400711072527 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.834900938615673 by 17547911/2567398 = 6.8349009386156725 rat: replaced -13.450503783188974 by -152939841/11370566 = -13.450503783188982 rat: replaced 6.562220821218435 by 25907405/3947963 = 6.562220821218436 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.834900938615673 by -17547911/2567398 = -6.8349009386156725 rat: replaced 13.450503783188974 by 152939841/11370566 = 13.450503783188982 rat: replaced -6.562220821218435 by -25907405/3947963 = -6.562220821218436 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.1427654751575345 by 70228363/9832097 = 7.142765475157538 rat: replaced -12.977899290228331 by -59814450/4608947 = -12.977899290228333 rat: replaced 7.3100894437584625 by 15102579/2065991 = 7.310089443758468 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.1427654751575345 by -70228363/9832097 = -7.142765475157538 rat: replaced 12.977899290228331 by 59814450/4608947 = 12.977899290228333 rat: replaced -7.3100894437584625 by -15102579/2065991 = -7.310089443758468 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.097577462453554 by 92809385/13076206 = 7.097577462453558 rat: replaced -13.480385615786773 by -28468458/2111843 = -13.48038561578678 rat: replaced 7.202712688558192 by 47069144/6534919 = 7.20271268855819 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.097577462453554 by -92809385/13076206 = -7.097577462453558 rat: replaced 13.480385615786773 by 28468458/2111843 = 13.48038561578678 rat: replaced -7.202712688558192 by -47069144/6534919 = -7.20271268855819 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.724614092954344 by 49939237/7426335 = 6.724614092954331 rat: replaced -13.631573215085982 by -70840437/5196791 = -13.631573215086002 rat: replaced 7.045313651808744 by 85366741/12116812 = 7.045313651808743 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.724614092954344 by -49939237/7426335 = -6.724614092954331 rat: replaced 13.631573215085982 by 70840437/5196791 = 13.631573215086002 rat: replaced -7.045313651808744 by -85366741/12116812 = -7.045313651808743 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.367652617708537 by 62254027/8449642 = 7.367652617708537 rat: replaced -13.905952327025654 by -49731607/3576282 = -13.905952327025664 rat: replaced 6.349611658721926 by 169451045/26686836 = 6.349611658721925 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.367652617708537 by -62254027/8449642 = -7.367652617708537 rat: replaced 13.905952327025654 by 49731607/3576282 = 13.905952327025664 rat: replaced -6.349611658721926 by -169451045/26686836 = -6.349611658721925 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.97343448747095 by 11389592/1633283 = 6.97343448747094 rat: replaced -13.329282060128667 by -182736926/13709435 = -13.329282060128664 rat: replaced 7.046627367080579 by 74990293/10642012 = 7.0466273670805855 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.97343448747095 by -11389592/1633283 = -6.97343448747094 rat: replaced 13.329282060128667 by 182736926/13709435 = 13.329282060128664 rat: replaced -7.046627367080579 by -74990293/10642012 = -7.0466273670805855 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.796281184064292 by 14266135/2099109 = 6.796281184064286 rat: replaced -13.362088232010672 by -258654632/19357351 = -13.362088232010672 rat: replaced 6.595261579878975 by 34689559/5259770 = 6.595261579878968 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.796281184064292 by -14266135/2099109 = -6.796281184064286 rat: replaced 13.362088232010672 by 258654632/19357351 = 13.362088232010672 rat: replaced -6.595261579878975 by -34689559/5259770 = -6.595261579878968 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.7285564682216 by 18279503/2716705 = 6.728556468221614 rat: replaced -13.158749540025852 by -911687974/69283785 = -13.158749540025852 rat: replaced 6.75274890374872 by 191043282/28291187 = 6.752748903748719 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.7285564682216 by -18279503/2716705 = -6.728556468221614 rat: replaced 13.158749540025852 by 911687974/69283785 = 13.158749540025852 rat: replaced -6.75274890374872 by -191043282/28291187 = -6.752748903748719 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.642548030561322 by 45256065/6813058 = 6.642548030561313 rat: replaced -13.341539512997473 by -101001231/7570433 = -13.341539512997473 rat: replaced 6.676222903364968 by 59488591/8910516 = 6.676222903364968 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.642548030561322 by -45256065/6813058 = -6.642548030561313 rat: replaced 13.341539512997473 by 101001231/7570433 = 13.341539512997473 rat: replaced -6.676222903364968 by -59488591/8910516 = -6.676222903364968 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.2982502112922685 by 51302050/7029363 = 7.2982502112922605 rat: replaced -13.405390178267632 by -97672571/7286067 = -13.405390178267645 rat: replaced 6.912776672466341 by 53827331/7786644 = 6.912776672466341 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.2982502112922685 by -51302050/7029363 = -7.2982502112922605 rat: replaced 13.405390178267632 by 97672571/7286067 = 13.405390178267645 rat: replaced -6.912776672466341 by -53827331/7786644 = -6.912776672466341 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.418416654183871 by 68300387/10641314 = 6.418416654183872 rat: replaced -13.402516901368003 by -97092979/7244384 = -13.402516901368012 rat: replaced 7.34667798227194 by 28445889/3871939 = 7.346677982271931 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.418416654183871 by -68300387/10641314 = -6.418416654183872 rat: replaced 13.402516901368003 by 97092979/7244384 = 13.402516901368012 rat: replaced -7.34667798227194 by -28445889/3871939 = -7.346677982271931 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.840320768548353 by 96428125/14097018 = 6.840320768548356 rat: replaced -13.330342902463288 by -53566290/4018373 = -13.330342902463261 rat: replaced 7.22467105731668 by 44638237/6178584 = 7.224671057316693 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.840320768548353 by -96428125/14097018 = -6.840320768548356 rat: replaced 13.330342902463288 by 53566290/4018373 = 13.330342902463261 rat: replaced -7.22467105731668 by -44638237/6178584 = -7.224671057316693 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.740116462090553 by 27299123/4050245 = 6.7401164620905645 rat: replaced -13.044024374620077 by -56710683/4347637 = -13.044024374620053 rat: replaced 6.94250384799402 by 36363405/5237794 = 6.942503847994022 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.740116462090553 by -27299123/4050245 = -6.7401164620905645 rat: replaced 13.044024374620077 by 56710683/4347637 = 13.044024374620053 rat: replaced -6.94250384799402 by -36363405/5237794 = -6.942503847994022 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.071407639856741 by 51423241/7271995 = 7.071407639856738 rat: replaced -13.04002760791658 by -57265203/4391494 = -13.040027607916578 rat: replaced 7.187407940771421 by 423833037/58968830 = 7.187407940771421 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.071407639856741 by -51423241/7271995 = -7.071407639856738 rat: replaced 13.04002760791658 by 57265203/4391494 = 13.040027607916578 rat: replaced -7.187407940771421 by -423833037/58968830 = -7.187407940771421 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.27793196074868 by 76844212/10558523 = 7.277931960748677 rat: replaced -13.302358480277883 by -91484443/6877310 = -13.3023584802779 rat: replaced 6.632167234017067 by 48631182/7332623 = 6.632167234017077 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.27793196074868 by -76844212/10558523 = -7.277931960748677 rat: replaced 13.302358480277883 by 91484443/6877310 = 13.3023584802779 rat: replaced -6.632167234017067 by -48631182/7332623 = -6.632167234017077 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 6.838824717708393 by 21903422/3202805 = 6.838824717708384 rat: replaced -12.943976550274048 by -87651341/6771593 = -12.943976550274064 rat: replaced 6.742043313267763 by 77734829/11529862 = 6.742043313267756 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -6.838824717708393 by -21903422/3202805 = -6.838824717708384 rat: replaced 12.943976550274048 by 87651341/6771593 = 12.943976550274064 rat: replaced -6.742043313267763 by -77734829/11529862 = -6.742043313267756 rat: replaced 5.0 by 5/1 = 5.0 Gen 25 : best = 0.746 mu = [-6.99,13.39,-7.09] Final policy: w = [-6.99,13.39,-7.09]
In [12]:
/* Learning curve */
gens_list : makelist(i, i, 1, n_gens)$
ax_draw2d(
line_width = 2,
color = royalblue,
name = "Best cost",
lines(gens_list, best_cost_history),
color = tomato,
dash = "dash",
name = "Elite mean",
lines(gens_list, mean_cost_history),
title = "CEM Learning Curve",
xlabel = "Generation",
ylabel = "Cost",
grid = true
)$
4. Evaluate the Learned Policy¶
Simulate the trained controller and compare with the uncontrolled (damped free-swing) pendulum.
In [13]:
/* Simulate trained policy */
w1_opt : cem_mu[1]$ w2_opt : cem_mu[2]$ w3_opt : cem_mu[3]$
u_opt : max(-u_max, min(u_max,
w1_opt * sin(theta) + w2_opt * cos(theta) + w3_opt * omega))$
rhs1_opt : omega$
rhs2_opt : -(gv/lp)*sin(theta) - bp*omega + u_opt/(mp*lp^2)$
tspan_eval : np_linspace(0, 10, 500)$
traj_opt : np_cvode([rhs1_opt, rhs2_opt], [t, theta, omega],
[float(%pi), 0.0], tspan_eval, 1e-8, 1e-8)$
/* Uncontrolled pendulum */
traj_free : np_cvode([omega, -(gv/lp)*sin(theta) - bp*omega],
[t, theta, omega],
[float(%pi), 0.0], tspan_eval, 1e-8, 1e-8)$
t_eval : np_to_list(np_slice(traj_opt, all, 0))$
th_opt_list : np_to_list(np_slice(traj_opt, all, 1))$
th_free_list : np_to_list(np_slice(traj_free, all, 1))$
/* Wrap angle to [-180, 180] degrees */
wrap_deg(a) := block([d], d : mod(a * 180/float(%pi) + 180, 360) - 180, d)$
ax_draw2d(
line_width = 2,
color = royalblue,
name = "CEM policy",
lines(t_eval, map(wrap_deg, th_opt_list)),
color = "#aaa",
dash = "dash",
name = "Uncontrolled",
lines(t_eval, map(wrap_deg, th_free_list)),
title = "Pendulum Swing-Up: CEM vs Uncontrolled",
xlabel = "Time (s)",
ylabel = "theta (deg)",
grid = true
)$
rat: replaced 5.0 by 5/1 = 5.0 rat: replaced 7.092257318385117 by 40946715/5773439 = 7.092257318385108 rat: replaced -13.38576121804331 by -15874201/1185902 = -13.385761218043312 rat: replaced 6.989906172412847 by 113911656/16296593 = 6.989906172412847 rat: replaced 5.0 by 5/1 = 5.0 rat: replaced -7.092257318385117 by -40946715/5773439 = -7.092257318385108 rat: replaced 13.38576121804331 by 15874201/1185902 = 13.385761218043312 rat: replaced -6.989906172412847 by -113911656/16296593 = -6.989906172412847 rat: replaced 5.0 by 5/1 = 5.0
In [14]:
/* Phase portrait */
om_opt_list : np_to_list(np_slice(traj_opt, all, 2))$
ax_draw2d(
line_width = 2,
color = royalblue,
name = "Trajectory",
lines(map(wrap_deg, th_opt_list),
map(lambda([a], a * 180/float(%pi)), om_opt_list)),
marker_size = 10,
color = tomato,
name = "Start (hanging)",
points([wrap_deg(float(%pi))], [0]),
color = forestgreen,
name = "Target (upright)",
points([0], [0]),
title = "Phase Portrait: Swing-Up",
xlabel = "theta (deg)",
ylabel = "omega (deg/s)",
grid = true
)$
Key Takeaways¶
- CEM is simple: no gradients, no backpropagation — just sample, evaluate, select, repeat
np_cvodeas the environment: each CEM sample runs a full ODE simulation as its "episode"- Feature engineering matters: using $[\sin\theta, \cos\theta, \omega]$ instead of raw $\theta$ gives the policy smooth, periodic inputs
- Maxima's symbolic expressions: the policy and dynamics are symbolic, compiled to efficient native code by
np_cvode's expression mode — no callback overhead
For higher-dimensional problems, gradient-based methods (using np_minimize with np_compile_gradient) would be more sample-efficient.