The source files for all examples can be found in /examples.
Logistic Regression
The presented example is adapted from the Machine Learning - course by Andrew Ng.
In this example we use logistic regression to estimate the parameters $\theta_i$ of a logistic model in a classification problem. We will first transform the logistic regression problem into an exponential cone optimisation problem. We will then solve the optimisation problem with COSMO and determine the model parameters and the decision boundary.
Visualizing the data
Before we start, let's load and take a look at the example data from examples/chip_data.txt:
using LinearAlgebra, SparseArrays, COSMO, JuMP
using Plots
# load example data
f = open(joinpath(@__DIR__, "chip_data.txt"))
lines = readlines(f)
close(f)
n_data = length(lines)
n_half = div(n_data, 2)
x1 = zeros(n_data)
x2 = zeros(n_data)
y = zeros(Float64, n_data)
for (i, l) in enumerate(lines)
s = split(l, ",")
x1[i] = parse(Float64, s[1])
x2[i] = parse(Float64, s[2])
y[i] = parse(Float64, s[3])
end
# visualize data
plot(x1[1:n_half-1], x2[1:n_half-1], color = :blue, st=:scatter, markershape = :cross, aspect_ratio=:equal, label = "Accepted", xlabel = "x1 - Microchip Test Score 1", ylabel = "x2 - Microchip Test Score 2")
plot!(x1[n_half:end], x2[n_half:end], color = :red, st=:scatter, markershape = :circle, label = "Rejected")
The plot shows two test scores of $n$ microchip samples from a fabrication plant and whether the chip passed the quality check. Based on this data we would like to build a logistic model that takes into account the test scores and helps us predict the likelihood of a chip being accepted.
Defining the logistic model
The logistic regression hypothesis is given by
\[h_\theta(x) = g(\theta^\top x)\]
where $g$ is the sigmoid function:
\[g(\theta^\top x) = \frac{1}{1+\exp(-\theta^\top x)}.\]
The vector $x$ represents the independent variables and $\theta$ represents the model parameters. For our samples we set the dependent variable $y =1$ if the chip was accepted and $y = 0$ otherwise.
The function $h_\theta(x)$ can be interpreted as the probability of the outcome being true rather than false. We want to find the parameters $\theta$ that maximize the log-likelihood over all (independently Bernoulli distributed) observations
\[J(\theta) = \sum_{i, y_i = 1} \log h_\theta(x_i) + \sum_{i, y_i = 0} \log (1-h_\theta(x_i)).\]
Consequently, we want to solve the following optimization problem:
\[\text{minimize} \quad -J(\theta) + \mu \|\theta \|_2,\]
where we added a regularization term with parameter $\mu$ to prevent overfitting.
Feature mapping
As our dataset only has two independent variables (the test scores) our model $y = \theta_0 + \theta_1 x_1 + \theta_2 x_2$ will have the form of a straight line. Looking at the plot one can see that a line will not perform well in separating the samples. Therefore, we will create more features based on each data point by mapping the original features ($x_1$, $x_2$) into all polynomial terms of $x_1$ and $x_2$ up to the 6th power:
\[\text{map\_feature}(x_1,x_2) = [1, x_1, x_2, x_1^2, x_1x_2, x_2^2, x_1^3, \dots, x_1x_2^5, x_2^6 ]\]
This will create 28 features for each sample.
function map_feature(x1, x2)
deg = 6
x_new = ones(length(x1))
for i = 1:deg, j = 0:i
x_new = hcat(x_new, x1.^(i-j) .* x2.^j)
end
return x_new
end
X = map_feature(x1, x2);
size(X)(118, 28)Transformation into a conic optimisation problem
We can rewrite above likelihood maximisation problem as a conic optimisation problem with exponential-cone-, second-order-cone-, equality-, and inequality constraints:
\[\begin{array}{ll} \text{minimize} &\sum_i^n \epsilon_i + \mu v\\ \text{subject to} & \|\theta \|_2 \leq v\\ & \log(1 + \exp(-\theta^\top x_i)) \leq \epsilon_i \quad \text{if } y_i = 1, \\ & \log(1 + \exp(\theta^\top x_i)) \leq \epsilon_i \quad\text{ otherwise.} \end{array}\]
Implementing the constraint $\log(1 + \exp(z)) \leq \epsilon$ for each of the $n$ samples requires two exponential cone constraints, one inequality constraint and two equality constraints. To see this, take the exponential on both sides and then divide by $\exp(\epsilon)$ to get:
\[\exp(-\epsilon) + \exp(z - \epsilon) \leq 1.\]
This constraint is equivalent to:
\[\begin{array}{ll} (z - \epsilon, s_1, t_1) &\in K_{\text{exp}}, \\ (-\epsilon, s_2, t_2) &\in K_{\text{exp}}, \\ t_1 + t_2 &\leq 1,\\ s_1 = s_2 &= 1, \end{array}\]
where we defined the exponential cone as:
\[K_{\text{exp}} = \{(r, s, t) \mid s >0, s \exp(r/s) \leq t \} \cup \{ r \leq 0, s = 0, t \geq 0 \}.\]
Based on this transformation our optimisation problem will have $5n + n_\theta + 1$ variables, 1 SOCP constraint, $2n$ exponential cone constraints, $n$ inequality constraints and $2n$ equality constraints. Let's model the problem with JuMP and COSMO:
n_theta = size(X, 2)
n = n_data
μ = 1.
m = JuMP.Model(COSMO.Optimizer)
@variable(m, v)
@variable(m, θ[1:n_theta])
@variable(m, e[1:n])
@variable(m, t1[1:n])
@variable(m, t2[1:n])
@variable(m, s1[1:n])
@variable(m, s2[1:n])
@objective(m, Min, μ * v + sum(e))
@constraint(m, [v; θ] in MOI.SecondOrderCone(n_theta + 1))
# create the constraints for each sample points
for i = 1:n
yi = y[i]
x = X[i, :]
yi == 1. ? (a = -1) : (a = 1)
@constraint(m, [a * dot(θ, x) - e[i]; s1[i]; t1[i] ] in MOI.ExponentialCone())
@constraint(m, [-e[i]; s2[i]; t2[i]] in MOI.ExponentialCone())
@constraint(m, t1[i] + t2[i] <= 1)
@constraint(m, s1[i] == 1)
@constraint(m, s2[i] == 1)
end
JuMP.optimize!(m)Minimize ScalarAffineFunction{Float64}:
0.0 + 1.0 v + 1.0 e[1] + 1.0 e[2] + 1.0 e[3] + 1.0 e[4] + 1.0 e[5] + 1.0 e[6] + 1.0 e[7] + 1.0 e[8] + 1.0 e[9] + 1.0 e[10] + 1.0 e[11] + 1.0 e[12] + 1.0 e[13] + 1.0 e[14] + 1.0 e[15] + 1.0 e[16] + 1.0 e[17] + 1.0 e[18] + 1.0 e[19] + 1.0 e[20] + 1.0 e[21] + 1.0 e[22] + 1.0 e[23] + 1.0 e[24] + 1.0 e[25] + 1.0 e[26] + 1.0 e[27] + 1.0 e[28] + 1.0 e[29] + 1.0 e[30] + 1.0 e[31] + 1.0 e[32] + 1.0 e[33] + 1.0 e[34] + 1.0 e[35] + 1.0 e[36] + 1.0 e[37] + 1.0 e[38] + 1.0 e[39] + 1.0 e[40] + 1.0 e[41] + 1.0 e[42] + 1.0 e[43] + 1.0 e[44] + 1.0 e[45] + 1.0 e[46] + 1.0 e[47] + 1.0 e[48] + 1.0 e[49] + 1.0 e[50] + 1.0 e[51] + 1.0 e[52] + 1.0 e[53] + 1.0 e[54] + 1.0 e[55] + 1.0 e[56] + 1.0 e[57] + 1.0 e[58] + 1.0 e[59] + 1.0 e[60] + 1.0 e[61] + 1.0 e[62] + 1.0 e[63] + 1.0 e[64] + 1.0 e[65] + 1.0 e[66] + 1.0 e[67] + 1.0 e[68] + 1.0 e[69] + 1.0 e[70] + 1.0 e[71] + 1.0 e[72] + 1.0 e[73] + 1.0 e[74] + 1.0 e[75] + 1.0 e[76] + 1.0 e[77] + 1.0 e[78] + 1.0 e[79] + 1.0 e[80] + 1.0 e[81] + 1.0 e[82] + 1.0 e[83] + 1.0 e[84] + 1.0 e[85] + 1.0 e[86] + 1.0 e[87] + 1.0 e[88] + 1.0 e[89] + 1.0 e[90] + 1.0 e[91] + 1.0 e[92] + 1.0 e[93] + 1.0 e[94] + 1.0 e[95] + 1.0 e[96] + 1.0 e[97] + 1.0 e[98] + 1.0 e[99] + 1.0 e[100] + 1.0 e[101] + 1.0 e[102] + 1.0 e[103] + 1.0 e[104] + 1.0 e[105] + 1.0 e[106] + 1.0 e[107] + 1.0 e[108] + 1.0 e[109] + 1.0 e[110] + 1.0 e[111] + 1.0 e[112] + 1.0 e[113] + 1.0 e[114] + 1.0 e[115] + 1.0 e[116] + 1.0 e[117] + 1.0 e[118]
Subject to:
VectorAffineFunction{Float64}-in-Zeros
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┌ ┐
│-1.0 + 1.0 s2[69]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[70]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[70]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[71]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[71]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[72]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[72]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[73]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[73]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[74]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[74]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[75]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[75]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[76]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[76]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[77]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[77]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[78]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[78]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[79]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[79]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[80]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[80]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[81]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[81]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[82]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[82]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[83]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[83]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[84]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[84]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[85]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[85]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[86]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[86]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[87]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[87]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[88]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[88]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[89]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[89]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[90]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[90]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[91]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[91]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[92]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[92]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[93]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[93]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[94]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[94]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[95]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[95]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[96]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[96]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[97]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[97]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[98]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[98]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[99]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[99]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[100]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[100]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[101]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[101]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[102]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[102]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[103]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[103]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[104]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[104]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[105]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[105]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[106]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[106]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[107]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[107]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[108]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[108]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[109]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[109]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[110]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[110]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[111]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[111]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[112]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[112]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[113]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[113]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[114]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[114]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[115]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[115]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[116]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[116]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[117]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[117]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s1[118]│
└ ┘ ∈ Zeros(1)
┌ ┐
│-1.0 + 1.0 s2[118]│
└ ┘ ∈ Zeros(1)
VectorAffineFunction{Float64}-in-Nonnegatives
┌ ┐
│1.0 - 1.0 t1[1] - 1.0 t2[1]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[2] - 1.0 t2[2]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[3] - 1.0 t2[3]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[4] - 1.0 t2[4]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[5] - 1.0 t2[5]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[6] - 1.0 t2[6]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[7] - 1.0 t2[7]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[8] - 1.0 t2[8]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[9] - 1.0 t2[9]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[10] - 1.0 t2[10]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[11] - 1.0 t2[11]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[12] - 1.0 t2[12]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[13] - 1.0 t2[13]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[14] - 1.0 t2[14]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[15] - 1.0 t2[15]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[16] - 1.0 t2[16]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[17] - 1.0 t2[17]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[18] - 1.0 t2[18]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[19] - 1.0 t2[19]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[20] - 1.0 t2[20]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[21] - 1.0 t2[21]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[22] - 1.0 t2[22]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[23] - 1.0 t2[23]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[24] - 1.0 t2[24]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[25] - 1.0 t2[25]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[26] - 1.0 t2[26]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[27] - 1.0 t2[27]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[28] - 1.0 t2[28]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[29] - 1.0 t2[29]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[30] - 1.0 t2[30]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[31] - 1.0 t2[31]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[32] - 1.0 t2[32]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[33] - 1.0 t2[33]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[34] - 1.0 t2[34]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[35] - 1.0 t2[35]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[36] - 1.0 t2[36]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[37] - 1.0 t2[37]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[38] - 1.0 t2[38]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[39] - 1.0 t2[39]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[40] - 1.0 t2[40]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[41] - 1.0 t2[41]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[42] - 1.0 t2[42]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[43] - 1.0 t2[43]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[44] - 1.0 t2[44]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[45] - 1.0 t2[45]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[46] - 1.0 t2[46]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[47] - 1.0 t2[47]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[48] - 1.0 t2[48]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[49] - 1.0 t2[49]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[50] - 1.0 t2[50]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[51] - 1.0 t2[51]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[52] - 1.0 t2[52]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[53] - 1.0 t2[53]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[54] - 1.0 t2[54]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[55] - 1.0 t2[55]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[56] - 1.0 t2[56]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[57] - 1.0 t2[57]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[58] - 1.0 t2[58]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[59] - 1.0 t2[59]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[60] - 1.0 t2[60]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[61] - 1.0 t2[61]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[62] - 1.0 t2[62]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[63] - 1.0 t2[63]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[64] - 1.0 t2[64]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[65] - 1.0 t2[65]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[66] - 1.0 t2[66]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[67] - 1.0 t2[67]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[68] - 1.0 t2[68]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[69] - 1.0 t2[69]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[70] - 1.0 t2[70]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[71] - 1.0 t2[71]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[72] - 1.0 t2[72]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[73] - 1.0 t2[73]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[74] - 1.0 t2[74]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[75] - 1.0 t2[75]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[76] - 1.0 t2[76]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[77] - 1.0 t2[77]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[78] - 1.0 t2[78]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[79] - 1.0 t2[79]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[80] - 1.0 t2[80]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[81] - 1.0 t2[81]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[82] - 1.0 t2[82]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[83] - 1.0 t2[83]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[84] - 1.0 t2[84]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[85] - 1.0 t2[85]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[86] - 1.0 t2[86]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[87] - 1.0 t2[87]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[88] - 1.0 t2[88]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[89] - 1.0 t2[89]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[90] - 1.0 t2[90]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[91] - 1.0 t2[91]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[92] - 1.0 t2[92]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[93] - 1.0 t2[93]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[94] - 1.0 t2[94]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[95] - 1.0 t2[95]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[96] - 1.0 t2[96]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[97] - 1.0 t2[97]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[98] - 1.0 t2[98]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[99] - 1.0 t2[99]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[100] - 1.0 t2[100]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[101] - 1.0 t2[101]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[102] - 1.0 t2[102]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[103] - 1.0 t2[103]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[104] - 1.0 t2[104]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[105] - 1.0 t2[105]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[106] - 1.0 t2[106]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[107] - 1.0 t2[107]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[108] - 1.0 t2[108]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[109] - 1.0 t2[109]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[110] - 1.0 t2[110]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[111] - 1.0 t2[111]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[112] - 1.0 t2[112]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[113] - 1.0 t2[113]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[114] - 1.0 t2[114]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[115] - 1.0 t2[115]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[116] - 1.0 t2[116]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[117] - 1.0 t2[117]│
└ ┘ ∈ Nonnegatives(1)
┌ ┐
│1.0 - 1.0 t1[118] - 1.0 t2[118]│
└ ┘ ∈ Nonnegatives(1)
VectorAffineFunction{Float64}-in-SecondOrderCone
┌ ┐
│0.0 + 1.0 v │
│0.0 + 1.0 θ[1] │
│0.0 + 1.0 θ[2] │
│0.0 + 1.0 θ[3] │
│0.0 + 1.0 θ[4] │
│0.0 + 1.0 θ[5] │
│0.0 + 1.0 θ[6] │
│0.0 + 1.0 θ[7] │
│0.0 + 1.0 θ[8] │
│0.0 + 1.0 θ[9] │
│0.0 + 1.0 θ[10]│
│0.0 + 1.0 θ[11]│
│0.0 + 1.0 θ[12]│
│0.0 + 1.0 θ[13]│
│0.0 + 1.0 θ[14]│
│0.0 + 1.0 θ[15]│
│0.0 + 1.0 θ[16]│
│0.0 + 1.0 θ[17]│
│0.0 + 1.0 θ[18]│
│0.0 + 1.0 θ[19]│
│0.0 + 1.0 θ[20]│
│0.0 + 1.0 θ[21]│
│0.0 + 1.0 θ[22]│
│0.0 + 1.0 θ[23]│
│0.0 + 1.0 θ[24]│
│0.0 + 1.0 θ[25]│
│0.0 + 1.0 θ[26]│
│0.0 + 1.0 θ[27]│
│0.0 + 1.0 θ[28]│
└ ┘ ∈ SecondOrderCone(29)
VectorAffineFunction{Float64}-in-ExponentialCone
┌ ┐
│-0.0 - 1.0 θ[1] - 0.051267 θ[2] - 0.69956 θ[3] - 0.002628305289 θ[4] - 0.035864342519999995 θ[5] - 0.48938419359999996 θ[6] - 0.00013474532725116302 θ[7] - 0.00183865724797284 θ[8] - 0.0250892594532912 θ[9] - 0.34235360647481594 θ[10] - 6.907988692185374e-6 θ[11] - 9.426244113182359e-5 θ[12] - 0.00128625106439188 θ[13] - 0.01755144234314439 θ[14] - 0.23949688894552223 θ[15] - 3.541518562822676e-7 θ[16] - 4.8325525695051996e-6 θ[17] - 6.594223331817851e-5 θ[18] - 0.0008998097946059834 θ[19] - 0.012278287005570088 θ[20] - 0.16754244363072954 θ[21] - 1.8156303216023013e-8 θ[22] - 2.477504725808231e-7 θ[23] - 3.3806604755230576e-6 θ[24] - 4.613054874006496e-5 θ[25] - 0.0006294709399145618 θ[26] - 0.008589398457616611 θ[27] - 0.11720599186631313 θ[28] - 1.0 e[1]│
│0.0 + 1.0 s1[1] │
│0.0 + 1.0 t1[1] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[1] │
│0.0 + 1.0 s2[1]│
│0.0 + 1.0 t2[1]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.092742 θ[2] - 0.68494 θ[3] - 0.008601078564000001 θ[4] + 0.06352270548 θ[5] - 0.4691428036 θ[6] + 0.0007976812281824882 θ[7] - 0.00589122275162616 θ[8] + 0.0435092418914712 θ[9] - 0.321334671897784 θ[10] - 7.397855246410032e-5 θ[11] + 0.0005463637804313134 θ[12] - 0.0040351341114988224 θ[13] + 0.029801220141144284 θ[14] - 0.22009497016966817 θ[15] + 6.860918912625592e-6 θ[16] - 5.067086972476087e-5 θ[17] + 0.00037422640776862384 θ[18] - 0.002763824758330003 θ[19] + 0.020412047723475366 θ[20] - 0.15075184886801252 θ[21] - 6.362953417947227e-7 θ[22] + 4.699317800013773e-6 θ[23] - 3.470650550927771e-5 θ[24] + 0.0002563226357370412 θ[25] - 0.0018930541299705525 θ[26] + 0.013981027967717217 θ[27] - 0.1032559713636565 θ[28] - 1.0 e[2]│
│0.0 + 1.0 s1[2] │
│0.0 + 1.0 t1[2] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[2] │
│0.0 + 1.0 s2[2]│
│0.0 + 1.0 t2[2]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.21371 θ[2] - 0.69225 θ[3] - 0.045671964100000004 θ[4] + 0.14794074750000002 θ[5] - 0.47921006250000003 θ[6] + 0.009760555447811 θ[7] - 0.031616417148225 θ[8] + 0.10241198245687501 θ[9] - 0.33173316576562506 θ[10] - 0.002085928304751689 θ[11] + 0.006756744508747165 θ[12] - 0.02188646477085876 θ[13] + 0.07089469485577174 θ[14] - 0.22964228400125394 θ[15] + 0.00044578373800848353 θ[16] - 0.0014439838689643569 θ[17] + 0.0046773563861802255 θ[18] - 0.015150905237626978 θ[19] + 0.04907685251390798 θ[20] - 0.15896987109986804 θ[21] - 9.526844264979302e-5 θ[22] + 0.00030859379263637273 θ[23] - 0.000999597833290576 θ[24] + 0.0032378999583332615 θ[25] - 0.010488214150747275 θ[26] + 0.0339734511527528 θ[27] - 0.11004689326888366 θ[28] - 1.0 e[3]│
│0.0 + 1.0 s1[3] │
│0.0 + 1.0 t1[3] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[3] │
│0.0 + 1.0 s2[3]│
│0.0 + 1.0 t2[3]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.375 θ[2] - 0.50219 θ[3] - 0.140625 θ[4] + 0.18832125 θ[5] - 0.2521947961 θ[6] + 0.052734375 θ[7] - 0.07062046875 θ[8] + 0.09457304853750001 θ[9] - 0.126649704653459 θ[10] - 0.019775390625 θ[11] + 0.026482675781250003 θ[12] - 0.0354648932015625 θ[13] + 0.047493639245047126 θ[14] - 0.06360221517992058 θ[15] + 0.007415771484375 θ[16] - 0.00993100341796875 θ[17] + 0.013299334950585938 θ[18] - 0.017810114716892672 θ[19] + 0.023850830692470217 θ[20] - 0.03194039644120432 θ[21] - 0.002780914306640625 θ[22] + 0.0037241262817382815 θ[23] - 0.004987250606469726 θ[24] + 0.006678793018834753 θ[25] - 0.008944061509676332 θ[26] + 0.01197764866545162 θ[27] - 0.0160401476888084 θ[28] - 1.0 e[4]│
│0.0 + 1.0 s1[4] │
│0.0 + 1.0 t1[4] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[4] │
│0.0 + 1.0 s2[4]│
│0.0 + 1.0 t2[4]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.51325 θ[2] - 0.46564 θ[3] - 0.2634255625 θ[4] + 0.23898972999999998 θ[5] - 0.2168206096 θ[6] + 0.13520316995312498 θ[7] - 0.1226614789225 θ[8] + 0.11128317787719999 θ[9] - 0.100960348654144 θ[10] - 0.0693930269784414 θ[11] + 0.06295600405697312 θ[12] - 0.0571160910454729 θ[13] + 0.0518178989467394 θ[14] - 0.047011176747315614 θ[15] + 0.035615971096685045 θ[16] - 0.03231216908224145 θ[17] + 0.02931483372908896 θ[18] - 0.026595536634414 θ[19] + 0.024128486465559738 θ[20] - 0.021890284340620042 θ[21] - 0.0182798971653736 θ[22] + 0.016584220781460424 θ[23] - 0.015045838411454909 θ[24] + 0.013650159177612984 θ[25] - 0.012383945678448536 θ[26] + 0.011235188437823236 θ[27] - 0.010192992000366316 θ[28] - 1.0 e[5]│
│0.0 + 1.0 s1[5] │
│0.0 + 1.0 t1[5] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[5] │
│0.0 + 1.0 s2[5]│
│0.0 + 1.0 t2[5]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.52477 θ[2] - 0.2098 θ[3] - 0.27538355289999994 θ[4] + 0.11009674599999998 θ[5] - 0.04401603999999999 θ[6] + 0.14451302705533295 θ[7] - 0.05777546939841998 θ[8] + 0.023098297310799994 θ[9] - 0.009234565191999998 θ[10] - 0.07583610120782708 θ[11] + 0.03031883307620885 θ[12] - 0.012121293479788511 θ[13] + 0.004846022775805838 θ[14] - 0.0019374117772815995 θ[15] + 0.03979651083083141 θ[16] - 0.01591041403340212 θ[17] + 0.006360891179388616 θ[18] - 0.0025430473720596293 θ[19] + 0.001016695578364065 θ[20] - 0.00040646899087367955 θ[21] - 0.020884014988695396 θ[22] + 0.00834930797230843 θ[23] - 0.0033380048642077643 θ[24] + 0.0013345149694357315 θ[25] - 0.0005335313386581103 θ[26] + 0.0002133027323407808 θ[27] - 8.527719428529796e-5 θ[28] - 1.0 e[6]│
│0.0 + 1.0 s1[6] │
│0.0 + 1.0 t1[6] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[6] │
│0.0 + 1.0 s2[6]│
│0.0 + 1.0 t2[6]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.39804 θ[2] - 0.034357 θ[3] - 0.15843584160000002 θ[4] + 0.01367546028 θ[5] - 0.001180403449 θ[6] + 0.06306380239046401 θ[7] - 0.0054433802098512 θ[8] + 0.00046984778883996 θ[9] - 4.0555121297293e-5 θ[10] - 0.02510191590350029 θ[11] + 0.002166683058729172 θ[12] - 0.0001870182138698577 θ[13] + 1.6142560481174505e-5 θ[14] - 1.3933523024110954e-6 θ[15] + 0.009991566606229256 θ[16] - 0.0008624265246965594 θ[17] + 7.444072984875816e-5 θ[18] - 6.425384773926701e-6 θ[19] + 5.546099504517124e-7 θ[20] - 4.7871405053938005e-8 θ[21] - 0.003977043171943493 θ[22] + 0.00034328025389021853 θ[23] - 2.9630388108999693e-5 θ[24] + 2.557560155413784e-6 θ[25] - 2.2075694467779963e-7 θ[26] + 1.9054734067669484e-8 θ[27] - 1.6447178634381477e-9 θ[28] - 1.0 e[7]│
│0.0 + 1.0 s1[7] │
│0.0 + 1.0 t1[7] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[7] │
│0.0 + 1.0 s2[7]│
│0.0 + 1.0 t2[7]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.30588 θ[2] + 0.19225 θ[3] - 0.09356257439999999 θ[4] - 0.05880543 θ[5] - 0.0369600625 θ[6] + 0.028618920257471994 θ[7] + 0.017987404928399998 θ[8] + 0.0113053439175 θ[9] + 0.0071055720156250005 θ[10] - 0.008753955328355534 θ[11] - 0.005501987419498991 θ[12] - 0.0034580785974848995 θ[13] - 0.002173452368139375 θ[14] - 0.0013660462200039065 θ[15] + 0.0026776598558373907 θ[16] + 0.0016829479118763515 θ[17] + 0.001057757081398681 θ[18] + 0.000664815610366472 θ[19] + 0.00041784621777479487 θ[20] + 0.00026262238579575104 θ[21] - 0.0008190425967035409 θ[22] - 0.0005147801072847383 θ[23] - 0.0003235467360582286 θ[24] - 0.00020335379889889645 θ[25] - 0.00012781080109295424 θ[26] - 8.033093536720433e-5 θ[27] - 5.048915366923313e-5 θ[28] - 1.0 e[8]│
│0.0 + 1.0 s1[8] │
│0.0 + 1.0 t1[8] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[8] │
│0.0 + 1.0 s2[8]│
│0.0 + 1.0 t2[8]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.016705 θ[2] + 0.40424 θ[3] - 0.00027905702500000004 θ[4] + 0.0067528292 θ[5] - 0.16340997759999998 θ[6] - 4.661647602625001e-6 θ[7] + 0.00011280601178600001 θ[8] - 0.002729763675808 θ[9] + 0.06605684934502398 θ[10] - 7.787282320185064e-8 θ[11] + 1.8844244268851304e-6 θ[12] - 4.560070220437264e-5 θ[13] + 0.0011034796683086258 θ[14] - 0.0267028207792325 θ[15] - 1.3008655115869151e-9 θ[16] + 3.14793100511161e-8 θ[17] - 7.61759730324045e-7 θ[18] + 1.8433627859095594e-5 θ[19] - 0.00044607062111707896 θ[20] + 0.010794348271796945 θ[21] - 2.173095837105942e-11 θ[22] + 5.258618744038945e-10 θ[23] - 1.2725196295063172e-8 θ[24] + 3.079337533861919e-7 θ[25] - 7.4516097257608045e-6 θ[26] + 0.00018031958788036797 θ[27] - 0.0043635073453911965 θ[28] - 1.0 e[9]│
│0.0 + 1.0 s1[9] │
│0.0 + 1.0 t1[9] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[9] │
│0.0 + 1.0 s2[9]│
│0.0 + 1.0 t2[9]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.13191 θ[2] + 0.51389 θ[3] - 0.0174002481 θ[4] + 0.0677872299 θ[5] - 0.26408293209999995 θ[6] - 0.0022952667268710003 θ[7] + 0.008941813496109 θ[8] - 0.03483517957331099 θ[9] + 0.13570957797686897 θ[10] - 0.00030276863394155363 θ[11] + 0.0011795146182717383 θ[12] - 0.004595108537515454 θ[13] + 0.017901450430928785 θ[14] - 0.06973979502653319 θ[15] - 3.9938210503230335e-5 θ[16] + 0.000155589773296225 θ[17] - 0.0006061407671836635 θ[18] + 0.0023613803263438163 θ[19] - 0.009199376361949993 θ[20] + 0.03583858326618514 θ[21] - 5.268249347481114e-6 θ[22] + 2.0523846995505033e-5 θ[23] - 7.995602859919704e-5 θ[24] + 0.0003114896788480128 θ[25] - 0.0012134897359048235 θ[26] + 0.004727467518642481 θ[27] - 0.018417089554659878 θ[28] - 1.0 e[10]│
│0.0 + 1.0 s1[10] │
│0.0 + 1.0 t1[10] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[10] │
│0.0 + 1.0 s2[10]│
│0.0 + 1.0 t2[10]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.38537 θ[2] + 0.56506 θ[3] - 0.1485100369 θ[4] + 0.2177571722 θ[5] - 0.3192928036 θ[6] - 0.057231312920153 θ[7] + 0.083917081450714 θ[8] - 0.123045867723332 θ[9] + 0.18041959160221602 θ[10] - 0.02205523106003936 θ[11] + 0.03233912567866166 θ[12] - 0.047418186044540456 θ[13] + 0.06952829801574599 θ[14] - 0.10194789443074818 θ[15] - 0.008499424393607367 θ[16] + 0.012462528862785842 θ[17] - 0.018273546355984556 θ[18] + 0.026794120206328032 θ[19] - 0.03928766007677743 θ[20] + 0.057606677227038564 θ[21] - 0.0032754231785644713 θ[22] + 0.004802684747851779 θ[23] - 0.007042076559205767 θ[24] + 0.010325650103912634 θ[25] - 0.015140285563787718 θ[26] + 0.02219988520298385 θ[27] - 0.03255122903391042 θ[28] - 1.0 e[11]│
│0.0 + 1.0 s1[11] │
│0.0 + 1.0 t1[11] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[11] │
│0.0 + 1.0 s2[11]│
│0.0 + 1.0 t2[11]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.52938 θ[2] + 0.5212 θ[3] - 0.28024318439999996 θ[4] + 0.275912856 θ[5] - 0.27164944 θ[6] - 0.14835513695767197 θ[7] + 0.14606274770928 θ[8] - 0.1438057805472 θ[9] + 0.141583688128 θ[10] - 0.07853624240265238 θ[11] + 0.07732269738233863 θ[12] - 0.07612790410607673 θ[13] + 0.07495157282120064 θ[14] - 0.0737934182523136 θ[15] - 0.04157551600311611 θ[16] + 0.04093308954026242 θ[17] - 0.0403005898756749 θ[18] + 0.03967786362008719 θ[19] - 0.03906475975440977 θ[20] + 0.038461129593105846 θ[21] - 0.022009246661729605 θ[22] + 0.021669158940824117 θ[23] - 0.021334326268384773 θ[24] + 0.021004667443201758 θ[25] - 0.020680102518789444 θ[26] + 0.02036055278399837 θ[27] - 0.020045940743926766 θ[28] - 1.0 e[12]│
│0.0 + 1.0 s1[12] │
│0.0 + 1.0 t1[12] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[12] │
│0.0 + 1.0 s2[12]│
│0.0 + 1.0 t2[12]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.63882 θ[2] + 0.24342 θ[3] - 0.4080909924000001 θ[4] + 0.15550156440000001 θ[5] - 0.059253296399999995 θ[6] - 0.26069668776496807 θ[7] + 0.09933750937000801 θ[8] - 0.037852190806248 θ[9] + 0.014423437409688 θ[10] - 0.16653825807801692 θ[11] + 0.06345878773574853 θ[12] - 0.02418073653084735 θ[13] + 0.009213980286056888 θ[14] - 0.003510953134266253 θ[15] - 0.10638797002539878 θ[16] + 0.040538742781350875 θ[17] - 0.015447138110635906 θ[18] + 0.005886074886338862 θ[19] - 0.0022428670812319677 θ[20] + 0.0008546362119430913 θ[21] - 0.06796276301162525 θ[22] + 0.02589695966358257 θ[23] - 0.00986794076783643 θ[24] + 0.003760142358890992 θ[25] - 0.0014327883488326058 θ[26] + 0.0005459587049134857 θ[27] - 0.00020803554671118728 θ[28] - 1.0 e[13]│
│0.0 + 1.0 s1[13] │
│0.0 + 1.0 t1[13] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[13] │
│0.0 + 1.0 s2[13]│
│0.0 + 1.0 t2[13]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.73675 θ[2] + 0.18494 θ[3] - 0.5428005625 θ[4] + 0.136254545 θ[5] - 0.0342028036 θ[6] - 0.39990831442187497 θ[7] + 0.10038553602874999 θ[8] - 0.0251989155523 θ[9] + 0.006325466497783999 θ[10] - 0.29463245065031646 θ[11] + 0.07395904366918156 θ[12] - 0.01856530103315702 θ[13] + 0.004660287442242362 θ[14] - 0.0011698317741001727 θ[15] - 0.21707045801662064 θ[16] + 0.05448932542326952 θ[17] - 0.013677985536178437 θ[18] + 0.0034334667730720595 θ[19] - 0.0008618735595683023 θ[20] + 0.00021634868830208592 θ[21] - 0.15992665994374525 θ[22] + 0.04014501050559382 θ[23] - 0.010077255843779465 θ[24] + 0.0025296066450608396 θ[25] - 0.0006349853450119467 θ[26] + 0.0001593948961065618 θ[27] - 4.001152641458777e-5 θ[28] - 1.0 e[14]│
│0.0 + 1.0 s1[14] │
│0.0 + 1.0 t1[14] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[14] │
│0.0 + 1.0 s2[14]│
│0.0 + 1.0 t2[14]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.54666 θ[2] - 0.48757 θ[3] - 0.2988371556 θ[4] - 0.26653501620000003 θ[5] - 0.2377245049 θ[6] - 0.16336231948029603 θ[7] - 0.14570403195589202 θ[8] - 0.129954477848634 θ[9] - 0.115907336854093 θ[10] - 0.08930364556709863 θ[11] - 0.07965056610900793 θ[12] - 0.07104091486073426 θ[13] - 0.06336190476465849 θ[14] - 0.056512940229950126 θ[15] - 0.04881873088571014 θ[16] - 0.04354177846915028 θ[17] - 0.038835226517769 θ[18] - 0.034637418858648204 θ[19] - 0.03089336390610454 θ[20] - 0.027554014267916784 θ[21] - 0.02668724742598231 θ[22] - 0.023802548617945694 θ[23] - 0.021229664928203603 θ[24] - 0.018934891393268632 θ[25] - 0.016888166312911106 θ[26] - 0.01506267743969939 θ[27] - 0.013434510736608186 θ[28] - 1.0 e[15]│
│0.0 + 1.0 s1[15] │
│0.0 + 1.0 t1[15] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[15] │
│0.0 + 1.0 s2[15]│
│0.0 + 1.0 t2[15]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.322 θ[2] - 0.5826 θ[3] - 0.10368400000000001 θ[4] - 0.18759720000000002 θ[5] - 0.33942276 θ[6] - 0.03338624800000001 θ[7] - 0.06040629840000001 θ[8] - 0.10929412872 θ[9] - 0.197747699976 θ[10] - 0.010750371856000002 θ[11] - 0.019450828084800004 θ[12] - 0.035192709447840004 θ[13] - 0.063674759392272 θ[14] - 0.11520781000601761 θ[15] - 0.003461619737632 θ[16] - 0.006263166643305601 θ[17] - 0.011332052442204482 θ[18] - 0.020503272524311587 θ[19] - 0.03709691482193767 θ[20] - 0.06712007010950585 θ[21] - 0.0011146415555175044 θ[22] - 0.002016739659144403 θ[23] - 0.003648920886389843 θ[24] - 0.006602053752828332 θ[25] - 0.011945206572663932 θ[26] - 0.021612662575260885 θ[27] - 0.039104152845798115 θ[28] - 1.0 e[16]│
│0.0 + 1.0 s1[16] │
│0.0 + 1.0 t1[16] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[16] │
│0.0 + 1.0 s2[16]│
│0.0 + 1.0 t2[16]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.16647 θ[2] - 0.53874 θ[3] - 0.0277122609 θ[4] - 0.0896840478 θ[5] - 0.2902407876 θ[6] - 0.0046132600720230005 θ[7] - 0.014929703437266 θ[8] - 0.048316383911772 θ[9] - 0.156364321911624 θ[10] - 0.0007679694041896689 θ[11] - 0.0024853477312016714 θ[12] - 0.008043228429792685 θ[13] - 0.02602996866862805 θ[14] - 0.08423971478666831 θ[15] - 0.0001278438667154542 θ[16] - 0.0004137358368131422 θ[17] - 0.0013389562367075883 θ[18] - 0.004333208884266511 θ[19] - 0.014023385320536673 θ[20] - 0.04538330394416969 θ[21] - 2.128216849212166e-5 θ[22] - 6.887460475428379e-5 θ[23] - 0.00022289604472471223 θ[24] - 0.0007213492829638462 θ[25] - 0.00233447295430974 θ[26] - 0.007554958607585928 θ[27] - 0.024449801166881974 θ[28] - 1.0 e[17]│
│0.0 + 1.0 s1[17] │
│0.0 + 1.0 t1[17] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[17] │
│0.0 + 1.0 s2[17]│
│0.0 + 1.0 t2[17]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.046659 θ[2] - 0.81652 θ[3] - 0.0021770622809999998 θ[4] + 0.03809800668 θ[5] - 0.6667049104 θ[6] + 0.00010157954896917899 θ[7] - 0.00177761489368212 θ[8] + 0.0311077844143536 θ[9] - 0.544377893439808 θ[10] - 4.739600175352923e-6 θ[11] + 8.294173332431404e-5 θ[12] - 0.0014514581129893246 θ[13] + 0.025400128130008002 θ[14] - 0.4444954375514721 θ[15] + 2.2114500458179202e-7 θ[16] - 3.869978335179169e-6 θ[17] + 6.77235840939689e-5 θ[18] - 0.0011851445784180432 θ[19] + 0.020739712620714137 θ[20] - 0.362939414669528 θ[21] - 1.0318404768781833e-8 θ[22] + 1.8056931914112482e-7 θ[23] - 3.159914710240495e-6 θ[24] + 5.5297660884407485e-5 θ[25] - 0.0009676942511699008 θ[26] + 0.016934390149065507 θ[27] - 0.296347290865963 θ[28] - 1.0 e[18]│
│0.0 + 1.0 s1[18] │
│0.0 + 1.0 t1[18] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[18] │
│0.0 + 1.0 s2[18]│
│0.0 + 1.0 t2[18]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.17339 θ[2] - 0.69956 θ[3] - 0.030064092099999995 θ[4] + 0.12129670839999998 θ[5] - 0.48938419359999996 θ[6] + 0.0052128129292189984 θ[7] - 0.021031636269475996 θ[8] + 0.08485432532830399 θ[9] - 0.34235360647481594 θ[10] - 0.0009038496337972822 θ[11] + 0.0036466754127644422 θ[12] - 0.014712891468674627 θ[13] + 0.05936069182666833 θ[14] - 0.23949688894552223 θ[15] + 0.00015671848800411073 θ[16] - 0.0006322970498192267 θ[17] + 0.002551068251753493 θ[18] - 0.01029255035582602 θ[19] + 0.0415263655742641 θ[20] - 0.16754244363072954 θ[21] - 2.717341863503276e-5 θ[22] + 0.0001096339854681557 θ[23] - 0.0004423297241715382 θ[24] + 0.0017846253061966735 θ[25] - 0.007200256526921651 θ[26] + 0.029050184301132192 θ[27] - 0.11720599186631313 θ[28] - 1.0 e[19]│
│0.0 + 1.0 s1[19] │
│0.0 + 1.0 t1[19] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[19] │
│0.0 + 1.0 s2[19]│
│0.0 + 1.0 t2[19]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.47869 θ[2] - 0.63377 θ[3] - 0.22914411610000002 θ[4] + 0.3033793613 θ[5] - 0.40166441289999993 θ[6] + 0.10968899693590901 θ[7] - 0.145224666460697 θ[8] + 0.19227273781110096 θ[9] - 0.25456285496363296 θ[10] - 0.05250702594325028 θ[11] + 0.06951759558807105 θ[12] - 0.09203903686279592 θ[13] + 0.12185669304254146 θ[14] - 0.16133430059030163 θ[15] + 0.025134588248774476 θ[16] - 0.03327737783205373 θ[17] + 0.044058166555851784 θ[18] - 0.05833158039253417 θ[19] + 0.07722911634957148 θ[20] - 0.10224883968511546 θ[21] - 0.012031676048805855 θ[22] + 0.015929547994425797 θ[23] - 0.02109020374862069 θ[24] + 0.027922744218102185 θ[25] - 0.036968805705376376 θ[26] + 0.048945497068867916 θ[27] - 0.06480224712723562 θ[28] - 1.0 e[20]│
│0.0 + 1.0 s1[20] │
│0.0 + 1.0 t1[20] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[20] │
│0.0 + 1.0 s2[20]│
│0.0 + 1.0 t2[20]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.60541 θ[2] - 0.59722 θ[3] - 0.3665212681 θ[4] + 0.3615629602 θ[5] - 0.35667172839999994 θ[6] + 0.22189564092042102 θ[7] - 0.218893831734682 θ[8] + 0.21593263109064398 θ[9] - 0.21301148963504796 θ[10] - 0.13433783996963208 θ[11] + 0.13252051467049383 θ[12] - 0.13072777418858678 θ[13] + 0.12895928593995437 θ[14] - 0.12721472183984334 θ[15] + 0.08132947169601495 θ[16] - 0.08022924478666367 θ[17] + 0.07914390177151231 θ[18] - 0.07807324130090779 θ[19] + 0.07701706474905956 θ[20] - 0.07597517617719124 θ[21] - 0.04923767545948442 θ[22] + 0.04857158708629405 θ[23] - 0.04791450957149127 θ[24] + 0.04726632101598258 θ[25] - 0.04662690116972815 θ[26] + 0.04599613140943335 θ[27] - 0.04537389471654215 θ[28] - 1.0 e[21]│
│0.0 + 1.0 s1[21] │
│0.0 + 1.0 t1[21] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[21] │
│0.0 + 1.0 s2[21]│
│0.0 + 1.0 t2[21]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.62846 θ[2] - 0.33406 θ[3] - 0.3949619716 θ[4] + 0.20994334760000002 θ[5] - 0.11159608360000002 θ[6] + 0.24821780067173602 θ[7] - 0.131940996232696 θ[8] + 0.07013367469925602 θ[9] - 0.03727978768741601 θ[10] - 0.15599495901015922 θ[11] + 0.08291963849240014 θ[12] - 0.04407620920149444 θ[13] + 0.023428855370033464 θ[14] - 0.012453685874858192 θ[15] + 0.09803659193952467 θ[16] - 0.052111676006933796 θ[17] + 0.027700134434771193 θ[18] - 0.014724098445851232 θ[19] + 0.00782664342491338 θ[20] - 0.004160278303355128 θ[21] - 0.06161207657031367 θ[22] + 0.03275010390331762 θ[23] - 0.017408426486876304 θ[24] + 0.009253506909279665 θ[25] - 0.004918732326821063 θ[26] + 0.002614568502526564 θ[27] - 0.001389782570018814 θ[28] - 1.0 e[22]│
│0.0 + 1.0 s1[22] │
│0.0 + 1.0 t1[22] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[22] │
│0.0 + 1.0 s2[22]│
│0.0 + 1.0 t2[22]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.59389 θ[2] - 0.005117 θ[3] - 0.35270533210000005 θ[4] + 0.0030389351300000003 θ[5] - 2.6183689e-5 θ[6] + 0.20946816968086904 θ[7] - 0.0018047931843557003 θ[8] + 1.5550231060210003e-5 θ[9] - 1.3398193661300001e-7 θ[10] - 0.12440105129177131 θ[11] + 0.0010718486242570068 θ[12] - 9.23512672434812e-6 θ[13] + 7.957053233509459e-8 θ[14] - 6.85585569648721e-10 θ[15] + 0.07388054035167006 θ[16] - 0.0006365601794599938 θ[17] + 5.484649410323104e-6 θ[18] - 4.7256143448489327e-8 θ[19] + 4.0716241395867895e-10 θ[20] - 3.5081413598925054e-12 θ[21] - 0.04387691410945334 θ[22] + 0.0003780467249794957 θ[23] - 3.2572784382967885e-6 θ[24] + 2.8064951032623326e-8 θ[25] - 2.4180968602591986e-10 θ[26] + 2.08345007222656e-12 θ[27] - 1.795115933856995e-14 θ[28] - 1.0 e[23]│
│0.0 + 1.0 s1[23] │
│0.0 + 1.0 t1[23] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[23] │
│0.0 + 1.0 s2[23]│
│0.0 + 1.0 t2[23]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.42108 θ[2] + 0.27266 θ[3] - 0.1773083664 θ[4] - 0.11481167280000001 θ[5] - 0.07434347560000001 θ[6] + 0.074661006923712 θ[7] + 0.048344899182624 θ[8] + 0.031304550705648006 θ[9] + 0.020270492057096006 θ[10] - 0.03143825679543665 θ[11] - 0.020357070147819314 θ[12] - 0.013181720211134262 θ[13] - 0.008535498795401986 θ[14] - 0.005526952364287797 θ[15] + 0.013238021171422466 θ[16] + 0.008571955097843758 θ[17] + 0.005550558746504415 θ[18] + 0.0035941278327678685 θ[19] + 0.0023272891015543055 θ[20] + 0.0015069788316467107 θ[21] - 0.005574265954862572 θ[22] - 0.0036094788526000498 θ[23] - 0.0023372292769780795 θ[24] - 0.001513415347821894 θ[25] - 0.000979974894882487 θ[26] - 0.000634558646429797 θ[27] - 0.00041089284823679216 θ[28] - 1.0 e[24]│
│0.0 + 1.0 s1[24] │
│0.0 + 1.0 t1[24] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[24] │
│0.0 + 1.0 s2[24]│
│0.0 + 1.0 t2[24]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.11578 θ[2] + 0.39693 θ[3] - 0.013405008399999998 θ[4] - 0.0459565554 θ[5] - 0.15755342490000002 θ[6] + 0.0015520318725519998 θ[7] + 0.005320849984211999 θ[8] + 0.018241535534922002 θ[9] + 0.062537680945557 θ[10] - 0.00017969425020407053 θ[11] - 0.0006160480111720652 θ[12] - 0.002112004984233269 θ[13] - 0.007240612699876589 θ[14] - 0.02482308169771994 θ[15] + 2.0805000288627285e-5 θ[16] + 7.132603873350172e-5 θ[17] + 0.0002445279370745279 θ[18] + 0.0008383181383917115 θ[19] + 0.0028740163989620145 θ[20] + 0.009853025818275976 θ[21] - 2.4088029334172667e-6 θ[22] - 8.258128764564828e-6 θ[23] - 2.831144455448884e-5 θ[24] - 9.706047406299236e-5 θ[25] - 0.00033275361867182203 θ[26] - 0.0011407833292399925 θ[27] - 0.003910961538048283 θ[28] - 1.0 e[25]│
│0.0 + 1.0 s1[25] │
│0.0 + 1.0 t1[25] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[25] │
│0.0 + 1.0 s2[25]│
│0.0 + 1.0 t2[25]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.20104 θ[2] + 0.60161 θ[3] - 0.0404170816 θ[4] + 0.1209476744 θ[5] - 0.36193459209999995 θ[6] - 0.008125450084864 θ[7] + 0.024315320461376 θ[8] - 0.07276333039578399 θ[9] + 0.21774346995328098 θ[10] - 0.0016335404850610585 θ[11] + 0.0048883520255550315 θ[12] - 0.014628339942768414 θ[13] + 0.04377514719940761 θ[14] - 0.13099664895859336 θ[15] - 0.0003284069791166752 θ[16] + 0.0009827542912175834 θ[17] - 0.002940881462094162 θ[18] + 0.008800555592968906 θ[19] - 0.02633556630663561 θ[20] + 0.07880889397997935 θ[21] - 6.602293908161638e-5 θ[22] + 0.00019757292270638298 θ[23] - 0.0005912348091394103 θ[24] + 0.0017692636964104689 θ[25] - 0.005294502250286023 θ[26] + 0.01584374004573505 θ[27] - 0.047412218707295374 θ[28] - 1.0 e[26]│
│0.0 + 1.0 s1[26] │
│0.0 + 1.0 t1[26] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[26] │
│0.0 + 1.0 s2[26]│
│0.0 + 1.0 t2[26]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.46601 θ[2] + 0.53582 θ[3] - 0.21716532009999998 θ[4] + 0.24969747819999996 θ[5] - 0.28710307239999994 θ[6] - 0.10120121081980099 θ[7] + 0.11636152181598197 θ[8] - 0.13379290276912398 θ[9] + 0.15383556825336794 θ[10] - 0.04716077625413546 θ[11] + 0.05422563278146576 θ[12] - 0.06234883061943945 θ[13] + 0.071688913161752 θ[14] - 0.08242817418151963 θ[15] - 0.021977393342189663 θ[16] + 0.025269687132490858 θ[17] - 0.029055178556964982 θ[18] + 0.03340775042250804 θ[19] - 0.03841235345032996 θ[20] + 0.04416666428994184 θ[21] - 0.010241685071393804 θ[22] + 0.011775926900612065 θ[23] - 0.01354000375933125 θ[24] + 0.015568345774392974 θ[25] - 0.017900540831388263 θ[26] + 0.020582107225755798 θ[27] - 0.023665382059836634 θ[28] - 1.0 e[27]│
│0.0 + 1.0 s1[27] │
│0.0 + 1.0 t1[27] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[27] │
│0.0 + 1.0 s2[27]│
│0.0 + 1.0 t2[27]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.67339 θ[2] + 0.53582 θ[3] - 0.45345409210000004 θ[4] + 0.3608158298 θ[5] - 0.28710307239999994 θ[6] - 0.30535145107921907 θ[7] + 0.242969771629022 θ[8] - 0.19333233792343596 θ[9] + 0.15383556825336794 θ[10] - 0.20562061364223533 θ[11] + 0.16361341451726716 θ[12] - 0.13018806303426256 θ[13] + 0.10359133330613544 θ[14] - 0.08242817418151963 θ[15] - 0.13846286502054486 θ[16] + 0.11017563720178253 θ[17] - 0.08766733976664207 θ[18] + 0.06975736793501855 θ[19] - 0.05550630821209351 θ[20] + 0.04416666428994184 θ[21] - 0.09323950867618472 θ[22] + 0.07419117233530834 θ[23] - 0.059034309925459105 θ[24] + 0.04697391399376215 θ[25] - 0.03737739288694165 θ[26] + 0.029741390066203938 θ[27] - 0.023665382059836634 θ[28] - 1.0 e[28]│
│0.0 + 1.0 s1[28] │
│0.0 + 1.0 t1[28] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[28] │
│0.0 + 1.0 s2[28]│
│0.0 + 1.0 t2[28]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.13882 θ[2] - 0.54605 θ[3] - 0.0192709924 θ[4] + 0.07580266100000001 θ[5] - 0.29817060250000005 θ[6] + 0.002675199164968 θ[7] - 0.01052292540002 θ[8] + 0.04139204303905001 θ[9] - 0.16281605749512504 θ[10] - 0.00037137114808085775 θ[11] + 0.0014607925040307764 θ[12] - 0.005746043414680922 θ[13] + 0.022602125101473258 θ[14] - 0.08890570819521303 θ[15] + 5.155374277658467e-5 θ[16] - 0.0002027872154095524 θ[17] + 0.0007976657468260056 θ[18] - 0.0031376270065865174 θ[19] + 0.012341890411659472 θ[20] - 0.048546961959996075 θ[21] - 7.156690572245484e-6 θ[22] + 2.815092124315406e-5 θ[23] - 0.00011073195897438609 θ[24] + 0.0004355653810543404 θ[25] - 0.0017133012269465678 θ[26] + 0.006739289259286655 θ[27] - 0.02650906857825586 θ[28] - 1.0 e[29]│
│0.0 + 1.0 s1[29] │
│0.0 + 1.0 t1[29] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[29] │
│0.0 + 1.0 s2[29]│
│0.0 + 1.0 t2[29]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.29435 θ[2] - 0.77997 θ[3] - 0.0866419225 θ[4] + 0.22958416950000002 θ[5] - 0.6083532009000001 θ[6] + 0.025503049887875 θ[7] - 0.067578100292325 θ[8] + 0.17906876468491503 θ[9] - 0.4744972461059731 θ[10] - 0.007506822734496006 θ[11] + 0.019891613821045866 θ[12] - 0.05270889088500474 θ[13] + 0.13966826439129318 θ[14] - 0.3700936170452759 θ[15] + 0.0022096332718988996 θ[16] - 0.005855096528224851 θ[17] + 0.015514862032001144 θ[18] - 0.041111353623577145 θ[19] + 0.10893705617727696 θ[20] - 0.28866191848680384 θ[21] - 0.0006504055535834411 θ[22] + 0.001723447663082985 θ[23] - 0.0045667996391195375 θ[24] + 0.012101126939099933 θ[25] - 0.03206562248578147 θ[26] + 0.08496763570659072 θ[27] - 0.2251476365621524 θ[28] - 1.0 e[30]│
│0.0 + 1.0 s1[30] │
│0.0 + 1.0 t1[30] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[30] │
│0.0 + 1.0 s2[30]│
│0.0 + 1.0 t2[30]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.26555 θ[2] - 0.96272 θ[3] - 0.0705168025 θ[4] + 0.255650296 θ[5] - 0.9268297984 θ[6] + 0.018725736903875002 θ[7] - 0.0678879361028 θ[8] + 0.24611965296512 θ[9] - 0.892277583515648 θ[10] - 0.004972619434824007 θ[11] + 0.01802764143209854 θ[12] - 0.06535707384488762 θ[13] + 0.23694431230258034 θ[14] - 0.8590134752021847 θ[15] + 0.001320479090917515 θ[16] - 0.004787240182293768 θ[17] + 0.01735557095950991 θ[18] - 0.06292056213195021 θ[19] + 0.22811102833994015 θ[20] - 0.8269894528466473 θ[21] - 0.00035065322259314615 θ[22] + 0.0012712516304081102 θ[23] - 0.004608771868297857 θ[24] + 0.016708555274139378 θ[25] - 0.06057488357567111 θ[26] + 0.2196070492034272 θ[27] - 0.7961592860445244 θ[28] - 1.0 e[31]│
│0.0 + 1.0 s1[31] │
│0.0 + 1.0 t1[31] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[31] │
│0.0 + 1.0 s2[31]│
│0.0 + 1.0 t2[31]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.16187 θ[2] - 0.8019 θ[3] - 0.026201896900000004 θ[4] + 0.12980355300000002 θ[5] - 0.6430436099999999 θ[6] + 0.004241301051203001 θ[7] - 0.021011301124110003 θ[8] + 0.10408946915069998 θ[9] - 0.5156566708589999 θ[10] - 0.0006865394011582298 θ[11] + 0.0034010993129596867 θ[12] - 0.016848962371423807 θ[13] + 0.08346934531194632 θ[14] - 0.413505084361832 θ[15] + 0.00011113013286548268 θ[16] - 0.0005505359457887844 θ[17] + 0.0027273415390623723 θ[18] - 0.013511182925644752 θ[19] + 0.06693406800564974 θ[20] - 0.33158972714975304 θ[21] - 1.798863460693568e-5 θ[22] + 8.911525354483056e-5 θ[23] - 0.0004414747749280262 θ[24] + 0.0021870551801741163 θ[25] - 0.010834617588074526 θ[26] + 0.05367442913373053 θ[27] - 0.2659018022013869 θ[28] - 1.0 e[32]│
│0.0 + 1.0 s1[32] │
│0.0 + 1.0 t1[32] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[32] │
│0.0 + 1.0 s2[32]│
│0.0 + 1.0 t2[32]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.17339 θ[2] - 0.64839 θ[3] - 0.030064092099999995 θ[4] + 0.11242434209999999 θ[5] - 0.4204095921 θ[6] + 0.0052128129292189984 θ[7] - 0.019493256676718997 θ[8] + 0.072894819174219 θ[9] - 0.272589375421719 θ[10] - 0.0009038496337972822 θ[11] + 0.0033799357751763065 θ[12] - 0.012639232696617831 θ[13] + 0.04726427180437186 θ[14] - 0.1767442251296884 θ[15] + 0.00015671848800411073 θ[16] - 0.0005860470640578198 θ[17] + 0.0021915165572665655 θ[18] - 0.008195152088160036 θ[19] + 0.03064568119523667 θ[20] - 0.11459918813183867 θ[21] - 2.717341863503276e-5 θ[22] + 0.00010161470043698536 θ[23] - 0.0003799870558644498 θ[24] + 0.0014209574205660683 θ[25] - 0.005313654662442086 θ[26] + 0.019870353230179504 θ[27] - 0.07430496759280288 θ[28] - 1.0 e[33]│
│0.0 + 1.0 s1[33] │
│0.0 + 1.0 t1[33] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[33] │
│0.0 + 1.0 s2[33]│
│0.0 + 1.0 t2[33]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.28283 θ[2] - 0.47295 θ[3] - 0.07999280890000002 θ[4] + 0.1337644485 θ[5] - 0.2236817025 θ[6] + 0.022624366141187006 θ[7] - 0.037832598969255005 θ[8] + 0.063263895918075 θ[9] - 0.10579026119737499 θ[10] - 0.006398849475711922 θ[11] + 0.010700193966474394 θ[12] - 0.017892927682509156 θ[13] + 0.02992065957445357 θ[14] - 0.050033504033298495 θ[15] + 0.0018097865972156028 θ[16] - 0.003026335859537953 θ[17] + 0.005060656736444065 θ[18] - 0.008462460147442704 θ[19] + 0.014150975945737814 θ[20] - 0.02366334573254852 θ[21] - 0.0005118619432904891 θ[22] + 0.0008559385711531193 θ[23] - 0.001431305544768475 θ[24] + 0.0023934376035012203 θ[25] - 0.004002320526733026 θ[26] + 0.006692704073536699 θ[27] - 0.011191579364208823 θ[28] - 1.0 e[34]│
│0.0 + 1.0 s1[34] │
│0.0 + 1.0 t1[34] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[34] │
│0.0 + 1.0 s2[34]│
│0.0 + 1.0 t2[34]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.36348 θ[2] - 0.31213 θ[3] - 0.1321177104 θ[4] + 0.11345301240000001 θ[5] - 0.09742513690000001 θ[6] + 0.048022145376192 θ[7] - 0.041237900947152004 θ[8] + 0.035412088760412005 θ[9] - 0.030409307980597006 θ[10] - 0.01745508940133827 θ[11] + 0.01498915223627081 θ[12] - 0.012871586022634557 θ[13] + 0.0110531752647874 θ[14] - 0.009491657299983743 θ[15] + 0.0063445758955984356 θ[16] - 0.005448257054839715 θ[17] + 0.004678564087507209 θ[18] - 0.004017608145244924 θ[19] + 0.003450027595398091 θ[20] - 0.002962630993043926 θ[21] - 0.00230612644653212 θ[22] + 0.00198033247429314 θ[23] - 0.0017005644745271204 θ[24] + 0.0014603202086336251 θ[25] - 0.0012540160303752981 θ[26] + 0.0010768571133516064 θ[27] - 0.0009247260118588008 θ[28] - 1.0 e[35]│
│0.0 + 1.0 s1[35] │
│0.0 + 1.0 t1[35] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[35] │
│0.0 + 1.0 s2[35]│
│0.0 + 1.0 t2[35]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.30012 θ[2] - 0.027047 θ[3] - 0.0900720144 θ[4] + 0.00811734564 θ[5] - 0.0007315402090000001 θ[6] + 0.027032412961727998 θ[7] - 0.0024361777734768003 θ[8] + 0.00021954984752508002 θ[9] - 1.9785968032823004e-5 θ[10] - 0.008112967778073807 θ[11] + 0.0007311456733758572 θ[12] - 6.589130023922702e-5 θ[13] + 5.93816472601084e-6 θ[14] - 5.351510773837638e-7 θ[15] + 0.002434863889555511 θ[16] - 0.00021943143949356228 θ[17] + 1.977529702779681e-5 θ[18] - 1.782161997570373e-6 θ[19] + 1.606095413444152e-7 θ[20] - 1.447423118999866e-8 θ[21] - 0.0007307513505333999 θ[22] + 6.585576362080792e-5 θ[23] - 5.934962143982379e-6 θ[24] + 5.348624587108203e-7 θ[25] - 4.8202135548285886e-8 θ[26] + 4.344006264742398e-9 θ[27] - 3.9148453099589376e-10 θ[28] - 1.0 e[36]│
│0.0 + 1.0 s1[36] │
│0.0 + 1.0 t1[36] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[36] │
│0.0 + 1.0 s2[36]│
│0.0 + 1.0 t2[36]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.23675 θ[2] + 0.21418 θ[3] - 0.05605056249999999 θ[4] - 0.050707115 θ[5] - 0.045873072400000006 θ[6] + 0.013269970671874997 θ[7] + 0.012004909476249999 θ[8] + 0.010860449890700001 θ[9] + 0.009825094646632001 θ[10] - 0.0031416655565664055 θ[11] - 0.002842162318502187 θ[12] - 0.002571211511623225 θ[13] - 0.002326091157590126 θ[14] - 0.002104338771415642 θ[15] + 0.0007437893205170965 θ[16] + 0.0006728819289053928 θ[17] + 0.0006087343253767985 θ[18] + 0.0005507020815594623 θ[19] + 0.0004982022041326533 θ[20] + 0.00045070727806180227 θ[21] - 0.0001760921216324226 θ[22] - 0.00015930479666835174 θ[23] - 0.00014411785153295702 θ[24] - 0.00013037871780920268 θ[25] - 0.00011794937182840565 θ[26] - 0.00010670494808113168 θ[27] - 9.653248481527681e-5 θ[28] - 1.0 e[37]│
│0.0 + 1.0 s1[37] │
│0.0 + 1.0 t1[37] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[37] │
│0.0 + 1.0 s2[37]│
│0.0 + 1.0 t2[37]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.06394 θ[2] + 0.18494 θ[3] - 0.0040883236 θ[4] - 0.0118250636 θ[5] - 0.0342028036 θ[6] + 0.000261407410984 θ[7] + 0.0007560945665839999 θ[8] + 0.0021869272621839997 θ[9] + 0.006325466497783999 θ[10] - 1.6714389858316958e-5 θ[11] - 4.8344686587380953e-5 θ[12] - 0.00013983212914404496 θ[13] - 0.0004044503278683089 θ[14] - 0.0011698317741001727 θ[15] + 1.0687180875407862e-6 θ[16] + 3.091159260397138e-6 θ[17] + 8.940866337470233e-6 θ[18] + 2.586055396389967e-5 θ[19] + 7.479904363596504e-5 θ[20] + 0.00021634868830208592 θ[21] - 6.833383451735785e-8 θ[22] - 1.97648723109793e-7 θ[23] - 5.716789936178467e-7 θ[24] - 1.6535238204517448e-6 θ[25] - 4.782650850083605e-6 θ[26] - 1.3833335130035372e-5 θ[27] - 4.001152641458777e-5 θ[28] - 1.0 e[38]│
│0.0 + 1.0 s1[38] │
│0.0 + 1.0 t1[38] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[38] │
│0.0 + 1.0 s2[38]│
│0.0 + 1.0 t2[38]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.062788 θ[2] + 0.16301 θ[3] - 0.0039423329439999995 θ[4] + 0.010235071879999998 θ[5] - 0.026572260099999995 θ[6] - 0.00024753120088787193 θ[7] + 0.0006426396932014399 θ[8] - 0.0016684190671587996 θ[9] + 0.004331544118900999 θ[10] - 1.5541989041347704e-5 θ[11] + 4.0350061056732e-5 θ[12] - 0.0001047566963887667 θ[13] + 0.0002719689921375559 θ[14] - 0.0007060850068220518 θ[15] - 9.758504079281396e-7 θ[16] + 2.533499633630089e-6 θ[17] - 6.577463452857883e-6 θ[18] + 1.707638907833286e-5 θ[19] - 4.4333665408342986e-5 θ[20] + 0.00011509891696206265 θ[21] - 6.127169541299202e-8 θ[22] + 1.59073374996366e-7 θ[23] - 4.1298577527804076e-7 θ[24] + 1.0721923174503635e-6 θ[25] - 2.783622183659039e-6 θ[26] + 7.2268307982139894e-6 θ[27] - 1.8762274453985835e-5 θ[28] - 1.0 e[39]│
│0.0 + 1.0 s1[39] │
│0.0 + 1.0 t1[39] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[39] │
│0.0 + 1.0 s2[39]│
│0.0 + 1.0 t2[39]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.22984 θ[2] + 0.41155 θ[3] - 0.0528264256 θ[4] + 0.094590652 θ[5] - 0.16937340250000002 θ[6] - 0.012141625659904 θ[7] + 0.02174071545568 θ[8] - 0.0389287828306 θ[9] + 0.06970562379887502 θ[10] - 0.002790631241672335 θ[11] + 0.004996886040333491 θ[12] - 0.008947391445785104 θ[13] + 0.01602114057393343 θ[14] - 0.028687349474427012 θ[15] - 0.0006413986845859695 θ[16] + 0.0011484842875102495 θ[17] - 0.0020564684498992486 θ[18] + 0.0036822989495128603 θ[19] - 0.006593500403202304 θ[20] + 0.011806278676200438 θ[21] - 0.0001474190736652392 θ[22] + 0.00026396762864135576 θ[23] - 0.0004726587085248432 θ[24] + 0.0008463395905560358 θ[25] - 0.0015154501326720177 θ[26] + 0.0027135550909379086 θ[27] - 0.00485887398919029 θ[28] - 1.0 e[40]│
│0.0 + 1.0 s1[40] │
│0.0 + 1.0 t1[40] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[40] │
│0.0 + 1.0 s2[40]│
│0.0 + 1.0 t2[40]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.2932 θ[2] + 0.2288 θ[3] - 0.08596624000000001 θ[4] + 0.06708416 θ[5] - 0.052349440000000004 θ[6] - 0.025205301568000004 θ[7] + 0.019669075712000002 θ[8] - 0.015348855808000002 θ[9] + 0.011977551872000001 θ[10] - 0.0073901944197376015 θ[11] + 0.005766972998758401 θ[12] - 0.004500284522905601 θ[13] + 0.0035118182088704005 θ[14] - 0.0027404638683136 θ[15] - 0.0021668050038670646 θ[16] + 0.0016908764832359632 θ[17] - 0.0013194834221159223 θ[18] + 0.0010296650988408016 θ[19] - 0.0008035040061895476 θ[20] + 0.0006270181330701517 θ[21] - 0.0006353072271338235 θ[22] + 0.0004957649848847844 θ[23] - 0.0003868725393643884 θ[24] + 0.000301897806980123 θ[25] - 0.0002355873746147754 θ[26] + 0.0001838417166161685 θ[27] - 0.00014346174884645072 θ[28] - 1.0 e[41]│
│0.0 + 1.0 s1[41] │
│0.0 + 1.0 t1[41] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[41] │
│0.0 + 1.0 s2[41]│
│0.0 + 1.0 t2[41]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.48329 θ[2] + 0.18494 θ[3] - 0.2335692241 θ[4] + 0.0893796526 θ[5] - 0.0342028036 θ[6] - 0.11288167031528899 θ[7] + 0.043196292305054 θ[8] - 0.016529872951844 θ[9] + 0.006325466497783999 θ[10] - 0.05455458244667602 θ[11] + 0.020876336108109544 θ[12] - 0.007988722298896687 θ[13] + 0.003057034703714029 θ[14] - 0.0011698317741001727 θ[15] - 0.026365684150654052 θ[16] + 0.010089324477688262 θ[17] - 0.0038608695998337793 θ[18] + 0.001477434301957953 θ[19] - 0.0005653679981048725 θ[20] + 0.00021634868830208592 θ[21] - 0.012742271493169598 θ[22] + 0.00487606962682196 θ[23] - 0.0018659196689036672 θ[24] + 0.000714029223793259 θ[25] - 0.0002732366998041038 θ[26] + 0.0001045591575695151 θ[27] - 4.001152641458777e-5 θ[28] - 1.0 e[42]│
│0.0 + 1.0 s1[42] │
│0.0 + 1.0 t1[42] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[42] │
│0.0 + 1.0 s2[42]│
│0.0 + 1.0 t2[42]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.64459 θ[2] + 0.14108 θ[3] - 0.4154962681 θ[4] + 0.09093875720000001 θ[5] - 0.019903566400000003 θ[6] - 0.267824739454579 θ[7] + 0.058618213503548004 θ[8] - 0.012829639865776002 θ[9] + 0.002807995147712001 θ[10] - 0.17263714880502706 θ[11] + 0.037784714242252014 θ[12] - 0.008269857561080554 θ[13] + 0.0018100055922636786 θ[14] - 0.0003961519554392091 θ[15] - 0.1112801797482324 θ[16] + 0.02435564895341322 θ[17] - 0.005330667485296914 θ[18] + 0.0011667115047172445 θ[19] - 0.0002553555889565598 θ[20] + 5.5889117873363623e-5 θ[21] - 0.07173009106391312 θ[22] + 0.015699407758880627 θ[23] - 0.0034360949543475374 θ[24] + 0.0007520505688256888 θ[25] - 0.00016459965908550888 θ[26] + 3.602556648999146e-5 θ[27] - 7.884836749574139e-6 θ[28] - 1.0 e[43]│
│0.0 + 1.0 s1[43] │
│0.0 + 1.0 t1[43] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[43] │
│0.0 + 1.0 s2[43]│
│0.0 + 1.0 t2[43]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.46025 θ[2] - 0.012427 θ[3] - 0.2118300625 θ[4] - 0.00571952675 θ[5] - 0.000154430329 θ[6] - 0.097494786265625 θ[7] - 0.0026324121866875003 θ[8] - 7.107655892225e-5 θ[9] - 1.9191056984830003e-6 θ[10] - 0.044871975378753905 θ[11] - 0.0012115677089229219 θ[12] - 3.2712986243965565e-5 θ[13] - 8.832683977268009e-7 θ[14] - 2.3848726515048246e-8 θ[15] - 0.020652326668071486 θ[16] - 0.0005576240380317748 θ[17] - 1.505615191878515e-5 θ[18] - 4.065242800537601e-7 θ[19] - 1.0976376378550955e-8 θ[20] - 2.963681244025046e-10 θ[21] - 0.0095052333489799 θ[22] - 0.0002566464635041244 θ[23] - 6.9295939206208655e-6 θ[24] - 1.8710279989474307e-7 θ[25] - 5.051877228228077e-9 θ[26] - 1.3640342925625274e-10 θ[27] - 3.682966681949924e-12 θ[28] - 1.0 e[44]│
│0.0 + 1.0 s1[44] │
│0.0 + 1.0 t1[44] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[44] │
│0.0 + 1.0 s2[44]│
│0.0 + 1.0 t2[44]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.6273 θ[2] - 0.15863 θ[3] - 0.39350528999999995 θ[4] - 0.09950859899999999 θ[5] - 0.0251634769 θ[6] - 0.24684586841699996 θ[7] - 0.06242174415269999 θ[8] - 0.015785049059369997 θ[9] - 0.003991682340647 θ[10] - 0.15484641325798407 θ[11] - 0.0391571601069887 θ[12] - 0.009901961274942798 θ[13] - 0.002503982332287863 θ[14] - 0.0006332005696968335 θ[15] - 0.0971351550367334 θ[16] - 0.024563286535114012 θ[17] - 0.006211500307771618 θ[18] - 0.0015707481170441763 θ[19] - 0.00039720671737082365 θ[20] - 0.0001004446063710087 θ[21] - 0.06093288275454286 θ[22] - 0.015408549643477017 θ[23] - 0.0038964741430651357 θ[24] - 0.0009853302938218117 θ[25] - 0.00024916777380671766 θ[26] - 6.300890157653376e-5 θ[27] - 1.593352790863311e-5 θ[28] - 1.0 e[45]│
│0.0 + 1.0 s1[45] │
│0.0 + 1.0 t1[45] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[45] │
│0.0 + 1.0 s2[45]│
│0.0 + 1.0 t2[45]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.57546 θ[2] - 0.26827 θ[3] - 0.33115421159999997 θ[4] - 0.1543786542 θ[5] - 0.07196879290000001 θ[6] - 0.19056600260733597 θ[7] - 0.08883874034593199 θ[8] - 0.041415161562234 θ[9] - 0.019307068071283004 θ[10] - 0.10966311186041755 θ[11] - 0.05112314151947002 θ[12] - 0.023832768872603178 θ[13] - 0.011110445392300517 θ[14] - 0.005179507151483091 θ[15] - 0.06310673435119588 θ[16] - 0.029419323018794217 θ[17] - 0.013714805175428224 θ[18] - 0.006393616905453255 θ[19] - 0.002980599185392459 θ[20] - 0.0013895063835283688 θ[21] - 0.03631540134973918 θ[22] - 0.016929643624395318 θ[23] - 0.007892321786251925 θ[24] - 0.00367927078441213 θ[25] - 0.0017152156072259444 θ[26] - 0.0007996053434652351 θ[27] - 0.0003727628775091555 θ[28] - 1.0 e[46]│
│0.0 + 1.0 s1[46] │
│0.0 + 1.0 t1[46] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[46] │
│0.0 + 1.0 s2[46]│
│0.0 + 1.0 t2[46]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.72523 θ[2] - 0.44371 θ[3] - 0.5259585529 θ[4] - 0.3217918033 θ[5] - 0.1968785641 θ[6] - 0.38144092131966706 θ[7] - 0.23337306950725903 θ[8] - 0.142782241042243 θ[9] - 0.087356987676811 θ[10] - 0.2766323993686622 θ[11] - 0.16924915119874948 θ[12] - 0.10354996467106589 θ[13] - 0.06335390817285363 θ[14] - 0.03876116900207781 θ[15] - 0.20062211499413488 θ[16] - 0.1227445619238691 θ[17] - 0.07509754087839712 θ[18] - 0.04594615482419865 θ[19] - 0.02811076259537689 θ[20] - 0.017198718297911943 θ[21] - 0.14549717645719645 θ[22] - 0.08901803864404759 θ[23] - 0.054462989571239954 θ[24] - 0.033321529863153586 θ[25] - 0.02038676835704518 θ[26] - 0.012473026471194679 θ[27] - 0.0076312432959665085 θ[28] - 1.0 e[47]│
│0.0 + 1.0 s1[47] │
│0.0 + 1.0 t1[47] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[47] │
│0.0 + 1.0 s2[47]│
│0.0 + 1.0 t2[47]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.22408 θ[2] - 0.52412 θ[3] - 0.0502118464 θ[4] - 0.1174448096 θ[5] - 0.27470177440000004 θ[6] - 0.011251470541312 θ[7] - 0.026317032935168003 θ[8] - 0.06155517360755201 θ[9] - 0.14397669399852803 θ[10] - 0.002521229518897193 θ[11] - 0.005897120740112446 θ[12] - 0.013793283301980255 θ[13] - 0.03226229759119016 θ[14] - 0.07546106485850851 θ[15] - 0.0005649571105944829 θ[16] - 0.0013214268154443968 θ[17] - 0.0030907989223077355 θ[18] - 0.007229335644233892 θ[19] - 0.016909315413494587 θ[20] - 0.03955065331364148 θ[21] - 0.00012659558934201176 θ[22] - 0.00029610532080478043 θ[23] - 0.0006925862225107173 θ[24] - 0.0016199495311599304 θ[25] - 0.0037890393978558673 θ[26] - 0.008862510394520783 θ[27] - 0.020729288414745774 θ[28] - 1.0 e[48]│
│0.0 + 1.0 s1[48] │
│0.0 + 1.0 t1[48] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[48] │
│0.0 + 1.0 s2[48]│
│0.0 + 1.0 t2[48]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.44297 θ[2] - 0.67032 θ[3] - 0.19622242089999997 θ[4] - 0.29693165039999997 θ[5] - 0.44932890240000006 θ[6] - 0.08692064578607299 θ[7] - 0.13153181317768797 θ[8] - 0.19903922389612802 θ[9] - 0.30119414985676807 θ[10] - 0.03850323846385675 θ[11] - 0.058264647283320446 θ[12] - 0.08816840500926781 θ[13] - 0.13341997256205254 θ[14] - 0.20189646253198876 θ[15] - 0.01705577954233462 θ[16] - 0.025809490807092456 θ[17] - 0.039055958366955364 θ[18] - 0.05910104524581241 θ[19] - 0.08943407600779506 θ[20] - 0.1353352367644427 θ[21] - 0.0075551986638679675 θ[22] - 0.011432830142817743 θ[23] - 0.017300617877810218 θ[24] - 0.026179990012537523 θ[25] - 0.039616612649172975 θ[26] - 0.05994944982954518 θ[27] - 0.09071791590794125 θ[28] - 1.0 e[49]│
│0.0 + 1.0 s1[49] │
│0.0 + 1.0 t1[49] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[49] │
│0.0 + 1.0 s2[49]│
│0.0 + 1.0 t2[49]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.322 θ[2] - 0.69225 θ[3] - 0.10368400000000001 θ[4] - 0.2229045 θ[5] - 0.47921006250000003 θ[6] - 0.03338624800000001 θ[7] - 0.07177524900000001 θ[8] - 0.154305640125 θ[9] - 0.33173316576562506 θ[10] - 0.010750371856000002 θ[11] - 0.023111630178000005 θ[12] - 0.04968641612025001 θ[13] - 0.10681807937653127 θ[14] - 0.22964228400125394 θ[15] - 0.003461619737632 θ[16] - 0.007441944917316002 θ[17] - 0.015999025990720506 θ[18] - 0.03439542155924307 θ[19] - 0.07394481544840377 θ[20] - 0.15896987109986804 θ[21] - 0.0011146415555175044 θ[22] - 0.002396306263375752 θ[23] - 0.005151686369012002 θ[24] - 0.01107532574207627 θ[25] - 0.023810230574386016 θ[26] - 0.051188298494157514 θ[27] - 0.11004689326888366 θ[28] - 1.0 e[50]│
│0.0 + 1.0 s1[50] │
│0.0 + 1.0 t1[50] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[50] │
│0.0 + 1.0 s2[50]│
│0.0 + 1.0 t2[50]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] - 0.13767 θ[2] - 0.57529 θ[3] - 0.018953028899999995 θ[4] - 0.07920017429999998 θ[5] - 0.33095858409999995 θ[6] - 0.002609263488662999 θ[7] - 0.010903487995880996 θ[8] - 0.045563068273046986 θ[9] - 0.19039716384688896 θ[10] - 0.0003592173044842351 θ[11] - 0.0015010831923929367 θ[12] - 0.006272667609150378 θ[13] - 0.0262119775468012 θ[14] - 0.10953358438947675 θ[15] - 4.945344630834464e-5 θ[16] - 0.0002066541230967356 θ[17] - 0.0008635581497517324 θ[18] - 0.0036086029488681206 θ[19] - 0.015079488562899262 θ[20] - 0.06301357576342208 θ[21] - 6.808255953269806e-6 θ[22] - 2.8450073126727588e-5 θ[23] - 0.00011888605047632101 θ[24] - 0.0004967963679706741 θ[25] - 0.002075993190454341 θ[26] - 0.008675078975350317 θ[27] - 0.03625108000093908 θ[28] - 1.0 e[51]│
│0.0 + 1.0 s1[51] │
│0.0 + 1.0 t1[51] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[51] │
│0.0 + 1.0 s2[51]│
│0.0 + 1.0 t2[51]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.0063364 θ[2] - 0.39985 θ[3] - 4.014996496e-5 θ[4] + 0.00253360954 θ[5] - 0.1598800225 θ[6] + 2.54406237972544e-7 θ[7] - 1.6053963489256e-5 θ[8] + 0.001013063774569 θ[9] - 0.06392802699662499 θ[10] - 1.6120196862892277e-9 θ[11] + 1.017243342533217e-7 θ[12] - 6.419177301179011e-6 θ[13] + 0.0004050735502614146 θ[14] - 0.0255616215946005 θ[15] + 1.0214401540203063e-11 θ[16] - 6.445660715627477e-10 θ[17] + 4.067447505119069e-8 θ[18] - 2.566708043876427e-6 θ[19] + 0.0001619686590720266 θ[20] - 0.010220814394601012 θ[21] - 6.472253391934268e-14 θ[22] + 4.084228455850195e-12 θ[23] - 2.5772974371436467e-10 θ[24] + 1.6263688849218592e-8 θ[25] - 1.0262982113439894e-6 θ[26] + 6.476316832994985e-5 θ[27] - 0.004086792635681213 θ[28] - 1.0 e[52]│
│0.0 + 1.0 s1[52] │
│0.0 + 1.0 t1[52] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[52] │
│0.0 + 1.0 s2[52]│
│0.0 + 1.0 t2[52]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.092742 θ[2] - 0.55336 θ[3] - 0.008601078564000001 θ[4] + 0.05131971312 θ[5] - 0.30620728959999993 θ[6] + 0.0007976812281824882 θ[7] - 0.00475949283417504 θ[8] + 0.028398276452083194 θ[9] - 0.16944286577305595 θ[10] - 7.397855246410032e-5 θ[11] + 0.0004414048844270616 θ[12] - 0.0026337129547191 θ[13] + 0.015714470257524756 θ[14] - 0.09376290420417824 θ[15] + 6.860918912625592e-6 θ[16] - 4.0936771791534554e-5 θ[17] + 0.0002442558068465588 θ[18] - 0.001457391400623361 θ[19] + 0.008695759261703899 θ[20] - 0.05188464067042407 θ[21] - 6.362953417947227e-7 θ[22] + 3.7965580894904974e-6 θ[23] - 2.2652772038563555e-5 θ[24] + 0.00013516139327661176 θ[25] - 0.0008064621054489431 θ[26] + 0.00481188534505647 θ[27] - 0.02871088476138586 θ[28] - 1.0 e[53]│
│0.0 + 1.0 s1[53] │
│0.0 + 1.0 t1[53] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[53] │
│0.0 + 1.0 s2[53]│
│0.0 + 1.0 t2[53]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.20795 θ[2] - 0.35599 θ[3] - 0.0432432025 θ[4] + 0.07402812049999999 θ[5] - 0.12672888009999997 θ[6] + 0.008992423959875 θ[7] - 0.015394147657975 θ[8] + 0.02635327061679499 θ[9] - 0.045114214026798986 θ[10] - 0.0018699745624560062 θ[11] + 0.003201213005475901 θ[12] - 0.005480162624762519 θ[13] + 0.009381500806872849 θ[14] - 0.01606020905140017 θ[15] + 0.00038886121026272645 θ[16] - 0.0006656922444887136 θ[17] + 0.0011395998178193659 θ[18] - 0.001950883092789209 θ[19] + 0.0033397204722386657 θ[20] - 0.005717273820207946 θ[21] - 8.086368867413397e-5 θ[22] + 0.00013843070224142797 θ[23] - 0.0002369797821155371 θ[24] + 0.000405686139145516 θ[25] - 0.0006944948722020306 θ[26] + 0.0011889070909122423 θ[27] - 0.0020352923072558264 θ[28] - 1.0 e[54]│
│0.0 + 1.0 s1[54] │
│0.0 + 1.0 t1[54] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[54] │
│0.0 + 1.0 s2[54]│
│0.0 + 1.0 t2[54]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.20795 θ[2] - 0.17325 θ[3] - 0.0432432025 θ[4] + 0.0360273375 θ[5] - 0.030015562499999995 θ[6] + 0.008992423959875 θ[7] - 0.007491884833124999 θ[8] + 0.006241736221874999 θ[9] - 0.005200196203124998 θ[10] - 0.0018699745624560062 θ[11] + 0.0015579374510483435 θ[12] - 0.0012979690473389062 θ[13] + 0.0010813808004398434 θ[14] - 0.000900933992191406 θ[15] + 0.00038886121026272645 θ[16] - 0.00032397309294550304 θ[17] + 0.0002699126633941255 θ[18] - 0.00022487313745146544 θ[19] + 0.00018734922367620287 θ[20] - 0.0001560868141471611 θ[21] - 8.086368867413397e-5 θ[22] + 6.737020467801735e-5 θ[23] - 5.61283383528084e-5 θ[24] + 4.676236893303224e-5 θ[25] - 3.895927106346639e-5 θ[26] + 3.245825300190215e-5 θ[27] - 2.7042040550995653e-5 θ[28] - 1.0 e[55]│
│0.0 + 1.0 s1[55] │
│0.0 + 1.0 t1[55] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[55] │
│0.0 + 1.0 s2[55]│
│0.0 + 1.0 t2[55]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.43836 θ[2] - 0.21711 θ[3] - 0.1921594896 θ[4] + 0.0951723396 θ[5] - 0.0471367521 θ[6] + 0.084235033861056 θ[7] - 0.041719746787056 θ[8] + 0.020662866650556 θ[9] - 0.010233860248430999 θ[10] - 0.03692526944333252 θ[11] + 0.01828826820157387 θ[12] - 0.009057774224937728 θ[13] + 0.004486114978502213 θ[14] - 0.002221873398536854 θ[15] + 0.016186561113179246 θ[16] - 0.008016845248841923 θ[17] + 0.003970565909243703 θ[18] - 0.00196653336197623 θ[19] + 0.0009739804229826155 θ[20] - 0.0004823909335563364 θ[21] - 0.0070955409295732534 θ[22] + 0.003514264283282346 θ[23] - 0.00174053727197607 θ[24] + 0.0008620495645559002 θ[25] - 0.00042695405821865934 θ[26] + 0.00021146088963375564 θ[27] - 0.0001047318955844162 θ[28] - 1.0 e[56]│
│0.0 + 1.0 s1[56] │
│0.0 + 1.0 t1[56] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[56] │
│0.0 + 1.0 s2[56]│
│0.0 + 1.0 t2[56]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.21947 θ[2] + 0.016813 θ[3] - 0.0481670809 θ[4] - 0.0036899491100000005 θ[5] - 0.0002826769690000001 θ[6] + 0.010571229245123 θ[7] + 0.0008098331311717001 θ[8] + 6.203911438643002e-5 θ[9] + 4.752647879797002e-6 θ[10] - 0.0023200676824271446 θ[11] - 0.000177734077298253 θ[12] - 1.3615724434389795e-5 θ[13] - 1.043063630179048e-6 θ[14] - 7.990626880302699e-8 θ[15] + 0.0005091852542622854 θ[16] + 3.9007297944647586e-5 θ[17] + 2.9882430416155285e-6 θ[18] + 2.2892117491539566e-7 θ[19] + 1.753702881420033e-8 θ[20] + 1.343464097385293e-9 θ[21] - 0.00011175088775294378 θ[22] - 8.560931679911805e-6 θ[23] - 6.558297003433599e-7 θ[24] - 5.024133025868188e-8 θ[25] - 3.8488517138525465e-9 θ[26] - 2.948500654531502e-10 θ[27] - 2.2587661869338932e-11 θ[28] - 1.0 e[57]│
│0.0 + 1.0 s1[57] │
│0.0 + 1.0 t1[57] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[57] │
│0.0 + 1.0 s2[57]│
│0.0 + 1.0 t2[57]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│-0.0 - 1.0 θ[1] + 0.13882 θ[2] + 0.27266 θ[3] - 0.0192709924 θ[4] - 0.0378506612 θ[5] - 0.07434347560000001 θ[6] + 0.002675199164968 θ[7] + 0.005254428787784 θ[8] + 0.010320361282792002 θ[9] + 0.020270492057096006 θ[10] - 0.00037137114808085775 θ[11] - 0.0007294198043201748 θ[12] - 0.0014326725532771856 θ[13] - 0.0028139497073660677 θ[14] - 0.005526952364287797 θ[15] + 5.155374277658467e-5 θ[16] + 0.00010125805723572668 θ[17] + 0.0001988836038459389 θ[18] + 0.0003906324983765575 θ[19] + 0.0007672515272104319 θ[20] + 0.0015069788316467107 θ[21] - 7.156690572245484e-6 θ[22] - 1.4056643505463577e-5 θ[23] - 2.760902188589324e-5 θ[24] - 5.422760342463371e-5 θ[25] - 0.00010650985700735216 θ[26] - 0.00020919880140919637 θ[27] - 0.00041089284823679216 θ[28] - 1.0 e[58]│
│0.0 + 1.0 s1[58] │
│0.0 + 1.0 t1[58] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[58] │
│0.0 + 1.0 s2[58]│
│0.0 + 1.0 t2[58]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.18376 θ[2] + 0.93348 θ[3] + 0.0337677376 θ[4] + 0.1715362848 θ[5] + 0.8713849104 θ[6] + 0.006205159461376 θ[7] + 0.031521507694848 θ[8] + 0.160125691135104 θ[9] + 0.813420386160192 θ[10] + 0.0011402601026224539 θ[11] + 0.005792392254005269 θ[12] + 0.02942469700298671 θ[13] + 0.1494741301607969 θ[14] + 0.759311662072816 θ[15] + 0.00020953419645790213 θ[16] + 0.0010644100005960083 θ[17] + 0.005407082321268838 θ[18] + 0.027467366158348033 θ[19] + 0.13953111102250068 θ[20] + 0.7088022503117323 θ[21] + 3.85040039411041e-5 θ[22] + 0.00019559598170952247 θ[23] + 0.0009936054473563619 θ[24] + 0.005047403205258034 θ[25] + 0.02564023696149472 θ[26] + 0.13024950151728393 θ[27] + 0.6616527246209958 θ[28] - 1.0 e[59]│
│0.0 + 1.0 s1[59] │
│0.0 + 1.0 t1[59] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[59] │
│0.0 + 1.0 s2[59]│
│0.0 + 1.0 t2[59]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.22408 θ[2] + 0.77997 θ[3] + 0.0502118464 θ[4] + 0.1747756776 θ[5] + 0.6083532009000001 θ[6] + 0.011251470541312 θ[7] + 0.039163733836608004 θ[8] + 0.13631978525767202 θ[9] + 0.4744972461059731 θ[10] + 0.002521229518897193 θ[11] + 0.00877580947810712 θ[12] + 0.03054653748053915 θ[13] + 0.10632534290742646 θ[14] + 0.3700936170452759 θ[15] + 0.0005649571105944829 θ[16] + 0.0019664833878542437 θ[17] + 0.006844868118639212 θ[18] + 0.023825382838696122 θ[19] + 0.08293057770750542 θ[20] + 0.28866191848680384 θ[21] + 0.00012659558934201176 θ[22] + 0.0004406495975503789 θ[23] + 0.0015337980480246746 θ[24] + 0.005338791786495026 θ[25] + 0.018583083852697815 θ[26] + 0.064683362694523 θ[27] + 0.2251476365621524 θ[28] - 1.0 e[60]│
│0.0 + 1.0 s1[60] │
│0.0 + 1.0 t1[60] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[60] │
│0.0 + 1.0 s2[60]│
│0.0 + 1.0 t2[60]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.29896 θ[2] + 0.61915 θ[3] + 0.0893770816 θ[4] + 0.185101084 θ[5] + 0.38334672249999996 θ[6] + 0.026720172315136 θ[7] + 0.05533782007264 θ[8] + 0.11460533615859998 θ[9] + 0.23734912323587495 θ[10] + 0.00798826271533306 θ[11] + 0.016543794688916456 θ[12] + 0.034262411297975054 θ[13] + 0.07095789388259718 θ[14] + 0.146954709651492 θ[15] + 0.0023881710213759714 θ[16] + 0.004945932860198464 θ[17] + 0.010243090481642621 θ[18] + 0.02121357195514125 θ[19] + 0.043933579997410044 θ[20] + 0.09098700848072126 θ[21] + 0.0007139676085505603 θ[22] + 0.0014786360878849326 θ[23] + 0.0030622743303918786 θ[24] + 0.006342009471709029 θ[25] + 0.013134383076025708 θ[26] + 0.02720147605539643 θ[27] + 0.056334606300838565 θ[28] - 1.0 e[61]│
│0.0 + 1.0 s1[61] │
│0.0 + 1.0 t1[61] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[61] │
│0.0 + 1.0 s2[61]│
│0.0 + 1.0 t2[61]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.50634 θ[2] + 0.75804 θ[3] + 0.2563801956 θ[4] + 0.38382597360000004 θ[5] + 0.5746246416 θ[6] + 0.12981554824010402 θ[7] + 0.19434644347262403 θ[8] + 0.290955441027744 θ[9] + 0.43558846331846407 θ[10] + 0.06573080469589426 θ[11] + 0.09840537818792847 θ[12] + 0.14732237800998793 θ[13] + 0.22055586251667111 θ[14] + 0.3301934787339285 θ[15] + 0.0332821356497191 θ[16] + 0.04982657919167569 θ[17] + 0.07459521288157729 θ[18] + 0.11167625542669125 θ[19] + 0.16719016602213738 θ[20] + 0.2502998646194672 θ[21] + 0.016852076564878773 θ[22] + 0.02522919010791307 θ[23] + 0.03777054009045784 θ[24] + 0.056546155172750856 θ[25] + 0.08465506866364904 θ[26] + 0.126736833451421 θ[27] + 0.18973730937614094 θ[28] - 1.0 e[62]│
│0.0 + 1.0 s1[62] │
│0.0 + 1.0 t1[62] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[62] │
│0.0 + 1.0 s2[62]│
│0.0 + 1.0 t2[62]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.61578 θ[2] + 0.7288 θ[3] + 0.37918500839999997 θ[4] + 0.448780464 θ[5] + 0.53114944 θ[6] + 0.23349454447255197 θ[7] + 0.27635003412192 θ[8] + 0.32707120216319996 θ[9] + 0.387101711872 θ[10] + 0.14378127059530807 θ[11] + 0.17017082401159586 θ[12] + 0.20140390486805526 θ[13] + 0.23836949213654016 θ[14] + 0.28211972761231363 θ[15] + 0.0885376308071788 θ[16] + 0.10478779000986052 θ[17] + 0.12402049653965107 θ[18] + 0.14678316586783868 θ[19] + 0.1737236858691105 θ[20] + 0.20560885748385416 θ[21] + 0.054519702298444564 θ[22] + 0.06452622533227191 θ[23] + 0.07636934135918634 θ[24] + 0.0903861378780977 θ[25] + 0.10697557128448085 θ[26] + 0.1266098222614077 θ[27] + 0.1498477353342329 θ[28] - 1.0 e[63]│
│0.0 + 1.0 s1[63] │
│0.0 + 1.0 t1[63] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[63] │
│0.0 + 1.0 s2[63]│
│0.0 + 1.0 t2[63]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.60426 θ[2] + 0.59722 θ[3] + 0.3651301476 θ[4] + 0.3608761572 θ[5] + 0.35667172839999994 θ[6] + 0.22063354298877602 θ[7] + 0.21806302674967198 θ[8] + 0.21552245860298397 θ[9] + 0.21301148963504796 θ[10] + 0.1333200246863978 θ[11] + 0.1317667645437568 θ[12] + 0.13023160083543908 θ[13] + 0.12871432272687408 θ[14] + 0.12721472183984334 θ[15] + 0.08055995811700274 θ[16] + 0.0796213851432105 θ[17] + 0.07869374712082243 θ[18] + 0.07777691665094093 θ[19] + 0.07687076781894374 θ[20] + 0.07597517617719124 θ[21] + 0.04867916029178007 θ[22] + 0.04811201818663637 θ[23] + 0.04755148363522817 θ[24] + 0.046997479655497575 θ[25] + 0.046449930162274944 θ[26] + 0.04590875995682958 θ[27] + 0.04537389471654215 θ[28] - 1.0 e[64]│
│0.0 + 1.0 s1[64] │
│0.0 + 1.0 t1[64] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[64] │
│0.0 + 1.0 s2[64]│
│0.0 + 1.0 t2[64]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.76555 θ[2] + 0.50219 θ[3] + 0.5860668024999999 θ[4] + 0.3844515545 θ[5] + 0.2521947961 θ[6] + 0.44866344065387487 θ[7] + 0.2943168875474749 θ[8] + 0.193067726154355 θ[9] + 0.126649704653459 θ[10] + 0.3434742969925739 θ[11] + 0.22531429326196944 θ[12] + 0.14780299775746644 θ[13] + 0.09695668139745554 θ[14] + 0.06360221517992058 θ[15] + 0.26294674806266494 θ[16] + 0.1724893572067007 θ[17] + 0.11315058493322842 θ[18] + 0.07422518744382207 θ[19] + 0.0486906758309882 θ[20] + 0.03194039644120432 θ[21] + 0.20129888297937315 θ[22] + 0.13204922740958971 θ[23] + 0.08662243029563303 θ[24] + 0.05682309224761799 θ[25] + 0.03727514688241301 θ[26] + 0.024451970495563965 θ[27] + 0.0160401476888084 θ[28] - 1.0 e[65]│
│0.0 + 1.0 s1[65] │
│0.0 + 1.0 t1[65] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[65] │
│0.0 + 1.0 s2[65]│
│0.0 + 1.0 t2[65]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.92684 θ[2] + 0.3633 θ[3] + 0.8590323856 θ[4] + 0.336720972 θ[5] + 0.13198689 θ[6] + 0.7961855762695039 θ[7] + 0.31208646568848 θ[8] + 0.1223307291276 θ[9] + 0.047950837137 θ[10] + 0.7379366395096271 θ[11] + 0.2892542198587108 θ[12] + 0.11338101298462477 θ[13] + 0.044442753892057076 θ[14] + 0.017420539131872102 θ[15] + 0.6839491949631028 θ[16] + 0.26809238113384753 θ[17] + 0.10508605807466963 θ[18] + 0.04119132201731418 θ[19] + 0.01614605248898434 θ[20] + 0.006328881866609135 θ[21] + 0.6339114718596022 θ[22] + 0.24847874253009525 θ[23] + 0.0973979620659268 θ[24] + 0.03817776489852747 θ[25] + 0.014964807288890243 θ[26] + 0.005865860869248011 θ[27] + 0.002299282782139099 θ[28] - 1.0 e[66]│
│0.0 + 1.0 s1[66] │
│0.0 + 1.0 t1[66] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[66] │
│0.0 + 1.0 s2[66]│
│0.0 + 1.0 t2[66]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.82316 θ[2] + 0.27558 θ[3] + 0.6775923856 θ[4] + 0.2268464328 θ[5] + 0.07594433639999999 θ[6] + 0.557766948130496 θ[7] + 0.186730909623648 θ[8] + 0.062514339951024 θ[9] + 0.020928740225111996 θ[10] + 0.4591314410230991 θ[11] + 0.1537094155658021 θ[12] + 0.05145930407408491 θ[13] + 0.017227701803703192 θ[14] + 0.005767542231236364 θ[15] + 0.37793863699257424 θ[16] + 0.12652744251714565 θ[17] + 0.042359240741623734 θ[18] + 0.014181155016736318 θ[19] + 0.004747610063064525 θ[20] + 0.001589419288084117 θ[21] + 0.31110396842680743 θ[22] + 0.1041523295824136 θ[23] + 0.034868432608875 θ[24] + 0.011673359563576667 θ[25] + 0.003908042699512195 θ[26] + 0.0013083463811793218 θ[27] + 0.00043801216741022104 θ[28] - 1.0 e[67]│
│0.0 + 1.0 s1[67] │
│0.0 + 1.0 t1[67] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[67] │
│0.0 + 1.0 s2[67]│
│0.0 + 1.0 t2[67]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.96141 θ[2] + 0.085526 θ[3] + 0.9243091881 θ[4] + 0.08222555166 θ[5] + 0.007314696676000001 θ[6] + 0.8886400965312209 θ[7] + 0.0790524676214406 θ[8] + 0.007032422531273161 θ[9] + 0.0006255967479115761 θ[10] + 0.8543474752060811 θ[11] + 0.0760018328959292 θ[12] + 0.006761041345791329 θ[13] + 0.0006014549694096683 θ[14] + 5.350478746188546e-5 θ[15] + 0.8213782061378785 θ[16] + 0.0730689221644753 θ[17] + 0.006500132760257241 θ[18] + 0.0005782448221401493 θ[19] + 5.14400377137313e-5 θ[20] + 4.576050452465216e-6 θ[21] + 0.7896812211630176 θ[22] + 0.0702491924581482 θ[23] + 0.006249292637038915 θ[24] + 0.0005559303544537608 θ[25] + 4.9454966658358405e-5 θ[26] + 4.399460665504583e-6 θ[27] + 3.9137129099754007e-7 θ[28] - 1.0 e[68]│
│0.0 + 1.0 s1[68] │
│0.0 + 1.0 t1[68] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[68] │
│0.0 + 1.0 s2[68]│
│0.0 + 1.0 t2[68]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.93836 θ[2] + 0.012427 θ[3] + 0.8805194895999999 θ[4] + 0.01166099972 θ[5] + 0.000154430329 θ[6] + 0.8262442682610559 θ[7] + 0.0109422156972592 θ[8] + 0.00014491124352044001 θ[9] + 1.9191056984830003e-6 θ[10] + 0.7753145715654444 θ[11] + 0.010267737521680143 θ[12] + 0.00013597891446984008 θ[13] + 1.8008120232285082e-6 θ[14] + 2.3848726515048246e-8 θ[15] + 0.7275241813741503 θ[16] + 0.009634834180843778 θ[17] + 0.00012759717418191912 θ[18] + 1.6898099701167028e-6 θ[19] + 2.2378691012660673e-8 θ[20] + 2.963681244025046e-10 θ[21] + 0.6826795908342478 θ[22] + 0.009040943001936566 θ[23] + 0.00011973208436534563 θ[24] + 1.585650083558709e-6 θ[25] + 2.0999268498640267e-8 θ[26] + 2.780999932143342e-10 θ[27] + 3.682966681949924e-12 θ[28] - 1.0 e[69]│
│0.0 + 1.0 s1[69] │
│0.0 + 1.0 t1[69] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[69] │
│0.0 + 1.0 s2[69]│
│0.0 + 1.0 t2[69]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.86348 θ[2] - 0.082602 θ[3] + 0.7455977104 θ[4] - 0.07132517496 θ[5] + 0.006823090403999999 θ[6] + 0.643808710976192 θ[7] - 0.0615878620744608 θ[8] + 0.005891602102045919 θ[9] - 0.0005636009135512079 θ[10] + 0.5559159457537224 θ[11] - 0.05317988714405541 θ[12] + 0.00508728058307461 θ[13] - 0.00048665811683319704 θ[14] + 4.655456266115687e-5 θ[15] + 0.48002230083942415 θ[16] - 0.04591976895114897 θ[17] + 0.004392765037873264 θ[18] - 0.00042021955072312893 θ[19] + 4.019893376665574e-5 θ[20] - 3.84549998493688e-6 θ[21] + 0.414489656328826 θ[22] - 0.03965080209393811 θ[23] + 0.003793064754902807 θ[24] - 0.0003628511776584074 θ[25] + 3.47109753288319e-5 θ[26] - 3.320512326993297e-6 θ[27] + 3.176459897557561e-7 θ[28] - 1.0 e[70]│
│0.0 + 1.0 s1[70] │
│0.0 + 1.0 t1[70] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[70] │
│0.0 + 1.0 s2[70]│
│0.0 + 1.0 t2[70]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.89804 θ[2] - 0.20687 θ[3] + 0.8064758415999999 θ[4] - 0.18577753479999998 θ[5] + 0.0427951969 θ[6] + 0.7242475647904638 θ[7] - 0.16683565735179195 θ[8] + 0.038431798624075995 θ[9] - 0.008853042382703 θ[10] + 0.6504032830844282 θ[11] - 0.14982509372820324 θ[12] + 0.0345132924363652 θ[13] - 0.0079503861813626 θ[14] + 0.0018314288777097696 θ[15] + 0.5840881643411399 θ[16] - 0.13454892717167566 θ[17] + 0.030994317139553404 θ[18] - 0.0071397648063108695 θ[19] + 0.0016446963893384813 θ[20] - 0.00037886769193182007 θ[21] + 0.5245345351049172 θ[22] - 0.1208303185572516 θ[23] + 0.027834136564004543 θ[24] - 0.006411794386659413 θ[25] + 0.0014770031454815298 θ[26] - 0.0003402383420624517 θ[27] + 7.837635942993561e-5 θ[28] - 1.0 e[71]│
│0.0 + 1.0 s1[71] │
│0.0 + 1.0 t1[71] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[71] │
│0.0 + 1.0 s2[71]│
│0.0 + 1.0 t2[71]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.85196 θ[2] - 0.36769 θ[3] + 0.7258358416 θ[4] - 0.3132571724 θ[5] + 0.13519593610000002 θ[6] + 0.6183831036095361 θ[7] - 0.26688258059790404 θ[8] + 0.11518152971975602 θ[9] - 0.04971019374460901 θ[10] + 0.5268376689511804 θ[11] - 0.22737328336619034 θ[12] + 0.09813005606004334 θ[13] - 0.0423510966626571 θ[14] + 0.018277941137955285 θ[15] + 0.4488446204396477 θ[16] - 0.19371294249665955 θ[17] + 0.08360288256091454 θ[18] - 0.03608144031271734 θ[19] + 0.015572074731892385 θ[20] - 0.006720616177014779 θ[21] + 0.3823976628297623 θ[22] - 0.16503567848945405 θ[23] + 0.07122631182659676 θ[24] - 0.030739943888822667 θ[25] + 0.013266784788583036 θ[26] - 0.005725696158169512 θ[27] + 0.0024711033621265645 θ[28] - 1.0 e[72]│
│0.0 + 1.0 s1[72] │
│0.0 + 1.0 t1[72] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[72] │
│0.0 + 1.0 s2[72]│
│0.0 + 1.0 t2[72]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.82892 θ[2] - 0.5212 θ[3] + 0.6871083664 θ[4] - 0.432033104 θ[5] + 0.27164944 θ[6] + 0.569557867076288 θ[7] - 0.35812088056768 θ[8] + 0.2251756538048 θ[9] - 0.141583688128 θ[10] + 0.47211790717687663 θ[11] - 0.2968535603201613 θ[12] + 0.1866526029518748 θ[13] - 0.11736155076306178 θ[14] + 0.0737934182523136 θ[15] + 0.3913479756170566 θ[16] - 0.2460678532205881 θ[17] + 0.15472007563886808 θ[18] - 0.09728333665851716 θ[19] + 0.06116884025770779 θ[20] - 0.038461129593105846 θ[21] + 0.3243961639484905 θ[22] - 0.2039705648916099 θ[23] + 0.12825056509857052 θ[24] - 0.08064010342297805 θ[25] + 0.050704075066419135 θ[26] - 0.031881199542317294 θ[27] + 0.020045940743926766 θ[28] - 1.0 e[73]│
│0.0 + 1.0 s1[73] │
│0.0 + 1.0 t1[73] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[73] │
│0.0 + 1.0 s2[73]│
│0.0 + 1.0 t2[73]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.79435 θ[2] - 0.55775 θ[3] + 0.6309919225 θ[4] - 0.4430487125 θ[5] + 0.31108506249999995 θ[6] + 0.5012284336378751 θ[7] - 0.351935744774375 θ[8] + 0.24711041939687498 θ[9] - 0.17350769360937496 θ[10] + 0.398150806260246 θ[11] - 0.2795601588615248 θ[12] + 0.19629216164790764 θ[13] - 0.137825836418607 θ[14] + 0.09677391611062888 θ[15] + 0.3162710929528264 θ[16] - 0.2220686121916522 θ[17] + 0.15592467860501544 θ[18] - 0.10948195315912047 θ[19] + 0.07687236026247805 θ[20] - 0.05397565171070325 θ[21] + 0.25122994268707766 θ[22] - 0.1764002020944389 θ[23] + 0.123858768449894 θ[24] - 0.08696698949194735 θ[25] + 0.06106355937449944 θ[26] - 0.04287555893639713 θ[27] + 0.03010491974164474 θ[28] - 1.0 e[74]│
│0.0 + 1.0 s1[74] │
│0.0 + 1.0 t1[74] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[74] │
│0.0 + 1.0 s2[74]│
│0.0 + 1.0 t2[74]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.59274 θ[2] - 0.7405 θ[3] + 0.3513407076000001 θ[4] - 0.43892397000000005 θ[5] + 0.5483402500000001 θ[6] + 0.20825369102282407 θ[7] - 0.2601677939778001 θ[8] + 0.32502319978500005 θ[9] - 0.4060459551250001 θ[10] + 0.12344029281686873 θ[11] - 0.15421185820240124 θ[12] + 0.19265425144056098 θ[13] - 0.24067967944079258 θ[14] + 0.30067702977006255 θ[15] + 0.07316799916427077 θ[16] - 0.0914075368308913 θ[17] + 0.11419388099887812 θ[18] - 0.14266047319173542 θ[19] + 0.17822330262590688 θ[20] - 0.22265134054473135 θ[21] + 0.043369599824629866 θ[22] - 0.05418090338114251 θ[23] + 0.06768728102327501 θ[24] - 0.08456056887966926 θ[25] + 0.10564008039848007 θ[26] - 0.13197435559448406 θ[27] + 0.16487331767337357 θ[28] - 1.0 e[75]│
│0.0 + 1.0 s1[75] │
│0.0 + 1.0 t1[75] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[75] │
│0.0 + 1.0 s2[75]│
│0.0 + 1.0 t2[75]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.51786 θ[2] - 0.5943 θ[3] + 0.2681789796 θ[4] - 0.30776419800000004 θ[5] + 0.3531924900000001 θ[6] + 0.13887916637565598 θ[7] - 0.15937876757628 θ[8] + 0.18290426287140005 θ[9] - 0.20990229680700007 θ[10] + 0.07191996509929721 θ[11] - 0.08253588857705235 θ[12] + 0.09471880157058322 θ[13] - 0.10870000342447306 θ[14] + 0.12474493499240014 θ[15] + 0.03724447312632205 θ[16] - 0.042742035258512334 θ[17] + 0.04905107858134222 θ[18] - 0.05629138377339761 θ[19] + 0.06460041203516434 θ[20] - 0.07413591486598341 θ[21] + 0.019287422853197136 θ[22] - 0.022134390378973197 θ[23] + 0.025401591554133886 θ[24] - 0.029151056000891684 θ[25] + 0.0334539693765302 θ[26] - 0.03839202487249817 θ[27] + 0.04405897420485395 θ[28] - 1.0 e[76]│
│0.0 + 1.0 s1[76] │
│0.0 + 1.0 t1[76] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[76] │
│0.0 + 1.0 s2[76]│
│0.0 + 1.0 t2[76]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.46601 θ[2] - 0.41886 θ[3] + 0.21716532009999998 θ[4] - 0.1951929486 θ[5] + 0.1754436996 θ[6] + 0.10120121081980099 θ[7] - 0.090961865977086 θ[8] + 0.081758518450596 θ[9] - 0.073486348014456 θ[10] + 0.04716077625413546 θ[11] - 0.04238913916398184 θ[12] + 0.03810028718316224 θ[13] - 0.03424537303821664 θ[14] + 0.030780491729335044 θ[15] + 0.021977393342189663 θ[16] - 0.01975376274180718 θ[17] + 0.017755114830225436 θ[18] - 0.015958686289539333 θ[19] + 0.014344016950787424 θ[20] - 0.012892716765749277 θ[21] + 0.010241685071393804 θ[22] - 0.009205450975309563 θ[23] + 0.008274061062033355 θ[24] - 0.0074369073977882255 θ[25] + 0.006684455339236447 θ[26] - 0.00600813494000682 θ[27] + 0.005400243344501742 θ[28] - 1.0 e[77]│
│0.0 + 1.0 s1[77] │
│0.0 + 1.0 t1[77] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[77] │
│0.0 + 1.0 s2[77]│
│0.0 + 1.0 t2[77]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.35081 θ[2] - 0.57968 θ[3] + 0.1230676561 θ[4] - 0.2033575408 θ[5] + 0.3360289024 θ[6] + 0.043173364436441 θ[7] - 0.071339858888048 θ[8] + 0.117882299250944 θ[9] - 0.194789234143232 θ[10] + 0.015145647977947868 θ[11] - 0.025026735896516116 θ[12] + 0.04135428940022367 θ[13] - 0.06833401122978722 θ[14] + 0.11291542324814871 θ[15] + 0.005313244767143892 θ[16] - 0.008779629219856819 θ[17] + 0.014507498264492463 θ[18] - 0.023972254479521653 θ[19] + 0.03961185962968305 θ[20] - 0.06545481254848684 θ[21] + 0.0018639393967617487 θ[22] - 0.003079981726617971 θ[23] + 0.005089375466166602 θ[24] - 0.008409706593960991 θ[25] + 0.013896236476689111 θ[26] - 0.02296220279013467 θ[27] + 0.03794284573810685 θ[28] - 1.0 e[78]│
│0.0 + 1.0 s1[78] │
│0.0 + 1.0 t1[78] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[78] │
│0.0 + 1.0 s2[78]│
│0.0 + 1.0 t2[78]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.28744 θ[2] - 0.76974 θ[3] + 0.08262175359999999 θ[4] - 0.22125406559999997 θ[5] + 0.5924996676 θ[6] + 0.023748796854783993 θ[7] - 0.06359726861606399 θ[8] + 0.17030810445494396 θ[9] - 0.45607069413842394 θ[10] + 0.00682635416793911 θ[11] - 0.01828039889100143 θ[12] + 0.04895336154452909 θ[13] - 0.13109296032314857 θ[14] + 0.35105585610611045 θ[15] + 0.001962167242032418 θ[16] - 0.005254517857229451 θ[17] + 0.01407115424235944 θ[18] - 0.03768136051528582 θ[19] + 0.10090749527914038 θ[20] - 0.2702217346791175 θ[21] + 0.0005640053520497981 θ[22] - 0.0015103586128820334 θ[23] + 0.004044612575423797 θ[24] - 0.010831130266513755 θ[25] + 0.02900485044303611 θ[26] - 0.07767253541616552 θ[27] + 0.20800047805190386 θ[28] - 1.0 e[79]│
│0.0 + 1.0 s1[79] │
│0.0 + 1.0 t1[79] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[79] │
│0.0 + 1.0 s2[79]│
│0.0 + 1.0 t2[79]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.085829 θ[2] - 0.75512 θ[3] + 0.007366617241 θ[4] - 0.06481119448 θ[5] + 0.5702062144 θ[6] + 0.000632269391177789 θ[7] - 0.00556268001102392 θ[8] + 0.0489402291757376 θ[9] - 0.430574116617728 θ[10] + 5.426704957539846e-5 θ[11] - 0.00047743926266617204 θ[12] + 0.004200490929924383 θ[13] - 0.03695574585518298 θ[14] + 0.32513512694037877 θ[15] + 4.657686598006874e-6 θ[16] - 4.0978134475374886e-5 θ[17] + 0.00036052393602447984 θ[18] - 0.0031718747110044995 θ[19] + 0.02790602281016577 θ[20] - 0.24551603705521882 θ[21] + 3.9976458302033205e-7 θ[22] - 3.5171123038869507e-6 θ[23] + 3.094340890504508e-5 θ[24] - 0.0002722388345708052 θ[25] + 0.0023951460317737177 θ[26] - 0.021072395944412375 θ[27] + 0.18539406990113685 θ[28] - 1.0 e[80]│
│0.0 + 1.0 s1[80] │
│0.0 + 1.0 t1[80] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[80] │
│0.0 + 1.0 s2[80]│
│0.0 + 1.0 t2[80]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.14919 θ[2] - 0.57968 θ[3] + 0.0222576561 θ[4] - 0.08648245919999999 θ[5] + 0.3360289024 θ[6] + 0.0033206197135589996 θ[7] - 0.012902318088047999 θ[8] + 0.05013215194905599 θ[9] - 0.194789234143232 θ[10] + 0.000495403255065867 θ[11] - 0.0019248968355558807 θ[12] + 0.007479215749279664 θ[13] - 0.029060605841828777 θ[14] + 0.11291542324814871 θ[15] + 7.39092116232767e-5 θ[16] - 0.0002871753588965818 θ[17] + 0.001115824197635033 θ[18] - 0.004335551785542436 θ[19] + 0.016845851994391304 θ[20] - 0.06545481254848684 θ[21] + 1.1026515282076652e-5 θ[22] - 4.2843691793781036e-5 θ[23] + 0.00016646981204517054 θ[24] - 0.0006468209708850759 θ[25] + 0.0025132326590432386 θ[26] - 0.009765203484108751 θ[27] + 0.03794284573810685 θ[28] - 1.0 e[81]│
│0.0 + 1.0 s1[81] │
│0.0 + 1.0 t1[81] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[81] │
│0.0 + 1.0 s2[81]│
│0.0 + 1.0 t2[81]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.13306 θ[2] - 0.4481 θ[3] + 0.0177049636 θ[4] + 0.059624186 θ[5] + 0.20079361 θ[6] - 0.0023558224566160003 θ[7] - 0.00793359418916 θ[8] - 0.026717597746600003 θ[9] - 0.08997561664100001 θ[10] + 0.0003134657360773251 θ[11] + 0.0010556440428096297 θ[12] + 0.0035550435561625964 θ[13] + 0.011972155550251462 θ[14] + 0.0403180738168321 θ[15] - 4.170975084244888e-5 θ[16] - 0.00014046399633624938 θ[17] - 0.0004730340955829951 θ[18] - 0.0015930150175164596 θ[19] - 0.00536472290206768 θ[20] - 0.018066528877322463 θ[21] + 5.549899447096248e-6 θ[22] + 1.8690139352501342e-5 θ[23] + 6.294191675827335e-5 θ[24] + 0.00021196657823074013 θ[25] + 0.0007138300293491254 θ[26] + 0.002403932332416527 θ[27] + 0.008095611589928196 θ[28] - 1.0 e[82]│
│0.0 + 1.0 s1[82] │
│0.0 + 1.0 t1[82] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[82] │
│0.0 + 1.0 s2[82]│
│0.0 + 1.0 t2[82]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.40956 θ[2] - 0.41155 θ[3] + 0.16773939359999998 θ[4] + 0.168554418 θ[5] + 0.16937340250000002 θ[6] - 0.068699346042816 θ[7] - 0.06903314743608 θ[8] - 0.06936857072790001 θ[9] - 0.06970562379887502 θ[10] + 0.028136504165295714 θ[11] + 0.028273215863920925 θ[12] + 0.028410591827318723 θ[13] + 0.02854863528306725 θ[14] + 0.028687349474427012 θ[15] - 0.011523586645938512 θ[16] - 0.011579578289227451 θ[17] - 0.011635841988796657 θ[18] - 0.011692379066533021 θ[19] - 0.011749190850746327 θ[20] - 0.011806278676200438 θ[21] + 0.004719600146710577 θ[22] + 0.004742532084135995 θ[23] + 0.004765575444931558 θ[24] + 0.004788730770489265 θ[25] + 0.004811998604831665 θ[26] + 0.004835379494624651 θ[27] + 0.00485887398919029 θ[28] - 1.0 e[83]│
│0.0 + 1.0 s1[83] │
│0.0 + 1.0 t1[83] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[83] │
│0.0 + 1.0 s2[83]│
│0.0 + 1.0 t2[83]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.39228 θ[2] - 0.25804 θ[3] + 0.15388359840000002 θ[4] + 0.1012239312 θ[5] + 0.0665846416 θ[6] - 0.06036545798035201 θ[7] - 0.039708123731136004 θ[8] - 0.026119823206847997 θ[9] - 0.017181500918463998 θ[10] + 0.023680161856532485 θ[11] + 0.015576702777250033 θ[12] + 0.010246284247582333 θ[13] + 0.006739959180295058 θ[14] + 0.00443351449700045 θ[15] - 0.009289253893080565 θ[16] - 0.006110428965459642 θ[17] - 0.004019412384641598 θ[18] - 0.002643951187246145 θ[19] - 0.0017391790668833365 θ[20] - 0.001144024080805996 θ[21] + 0.003643988517177644 θ[22] + 0.002396999074570509 θ[23] + 0.001576735090247206 θ[24] + 0.001037169171732918 θ[25] + 0.0006822451643569953 θ[26] + 0.00044877776641857615 θ[27] + 0.0002952039738111792 θ[28] - 1.0 e[84]│
│0.0 + 1.0 s1[84] │
│0.0 + 1.0 t1[84] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[84] │
│0.0 + 1.0 s2[84]│
│0.0 + 1.0 t2[84]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.74366 θ[2] - 0.25804 θ[3] + 0.5530301956 θ[4] + 0.1918940264 θ[5] + 0.0665846416 θ[6] - 0.411266435259896 θ[7] - 0.142703911672624 θ[8] - 0.049516334572255995 θ[9] - 0.017181500918463998 θ[10] + 0.30584239724537426 θ[11] + 0.10612319095446356 θ[12] + 0.03682331736800389 θ[13] + 0.012777194973024937 θ[14] + 0.00443351449700045 θ[15] - 0.227442757135495 θ[16] - 0.07891957218519638 θ[17] - 0.027384028193889774 θ[18] - 0.009501888813639725 θ[19] - 0.0032970273908393545 θ[20] - 0.001144024080805996 θ[21] + 0.1691400807713822 θ[22] + 0.058689329051243126 θ[23] + 0.020364406406668072 θ[24] + 0.0070661746351513175 θ[25] + 0.0024518673894715942 θ[26] + 0.000850764947932187 θ[27] + 0.0002952039738111792 θ[28] - 1.0 e[85]│
│0.0 + 1.0 s1[85] │
│0.0 + 1.0 t1[85] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[85] │
│0.0 + 1.0 s2[85]│
│0.0 + 1.0 t2[85]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.69758 θ[2] + 0.041667 θ[3] + 0.4866178564 θ[4] - 0.02906606586 θ[5] + 0.0017361388890000003 θ[6] - 0.33945488426751197 θ[7] + 0.0202759062226188 θ[8] - 0.00121109576618862 θ[9] + 7.233969908796301e-5 θ[10] + 0.236796938167331 θ[11] - 0.014144066662774422 θ[12] + 0.0008448361845778576 θ[13] - 5.046272728978124e-5 θ[14] + 3.0141782418981552e-6 θ[15] - 0.16518480812676675 θ[16] + 0.00986661802261818 θ[17] - 0.0005893408256378219 θ[18] + 3.5201789302805594e-5 θ[19] - 2.102630457983315e-6 θ[20] + 1.2559176480517043e-7 θ[21] + 0.11522961845306993 θ[22] - 0.006882755400217991 θ[23] + 0.0004111123731484318 θ[24] - 2.4556064181851125e-5 θ[25] + 1.4667529548800008e-6 θ[26] - 8.761030329279078e-8 θ[27] + 5.233032064137038e-9 θ[28] - 1.0 e[86]│
│0.0 + 1.0 s1[86] │
│0.0 + 1.0 t1[86] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[86] │
│0.0 + 1.0 s2[86]│
│0.0 + 1.0 t2[86]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.75518 θ[2] + 0.2902 θ[3] + 0.5702968324 θ[4] - 0.219153236 θ[5] + 0.08421604 θ[6] - 0.43067676189183196 θ[7] + 0.16550014076247999 θ[8] - 0.0635982690872 θ[9] + 0.024439494808000003 θ[10] + 0.32523847704547365 θ[11] - 0.12498239630100964 θ[12] + 0.0480281408492717 θ[13] - 0.01845621768910544 θ[14] + 0.007092341393281601 θ[15] - 0.24561359309520076 θ[16] + 0.09438420603859646 θ[17] - 0.036269891406553 θ[18] + 0.013937766474458647 θ[19] - 0.0053559943733784 θ[20] + 0.0020581974723303206 θ[21] + 0.1854824732336337 θ[22] - 0.07127706471622726 θ[23] + 0.027390296592400692 θ[24] - 0.01052552248618168 θ[25] + 0.0040447398308879 θ[26] - 0.0015543095671544114 θ[27] + 0.0005972889064702591 θ[28] - 1.0 e[87]│
│0.0 + 1.0 s1[87] │
│0.0 + 1.0 t1[87] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[87] │
│0.0 + 1.0 s2[87]│
│0.0 + 1.0 t2[87]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.69758 θ[2] + 0.68494 θ[3] + 0.4866178564 θ[4] - 0.4778004452 θ[5] + 0.4691428036 θ[6] - 0.33945488426751197 θ[7] + 0.333304034562616 θ[8] - 0.32726463693528796 θ[9] + 0.321334671897784 θ[10] + 0.236796938167331 θ[11] - 0.23250622843018964 θ[12] + 0.22829326543331818 θ[13] - 0.22415664042245614 θ[14] + 0.22009497016966817 θ[15] - 0.16518480812676675 θ[16] + 0.16219169482833168 θ[17] - 0.15925281610097408 θ[18] + 0.15636718922589696 θ[19] - 0.15353384929095712 θ[20] + 0.15075184886801252 θ[21] + 0.11522961845306993 θ[22] - 0.11314168247834762 θ[23] + 0.1110915794557175 θ[24] - 0.10907862386020119 θ[25] + 0.10710214258838587 θ[26] - 0.10516147473334816 θ[27] + 0.1032559713636565 θ[28] - 1.0 e[88]│
│0.0 + 1.0 s1[88] │
│0.0 + 1.0 t1[88] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[88] │
│0.0 + 1.0 s2[88]│
│0.0 + 1.0 t2[88]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.4038 θ[2] + 0.70687 θ[3] + 0.16305444 θ[4] - 0.285434106 θ[5] + 0.4996651969 θ[6] - 0.06584138287199999 θ[7] + 0.1152582920028 θ[8] - 0.20176480650821998 θ[9] + 0.353198337732703 θ[10] + 0.026586750403713597 θ[11] - 0.04654129831073063 θ[12] + 0.08147262886801923 θ[13] - 0.14262148877646547 θ[14] + 0.24966530899311576 θ[15] - 0.010735729813019552 θ[16] + 0.01879337625787303 θ[17] - 0.03289864753690616 θ[18] + 0.057590557167936755 θ[19] - 0.10081485177142015 θ[20] + 0.17648091696796372 θ[21] + 0.004335087698497295 θ[22] - 0.007588765332929131 θ[23] + 0.013284473875402708 θ[24] - 0.023255066984412858 θ[25] + 0.04070903714529945 θ[26] - 0.07126299427166376 θ[27] + 0.12474906577714452 θ[28] - 1.0 e[89]│
│0.0 + 1.0 s1[89] │
│0.0 + 1.0 t1[89] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[89] │
│0.0 + 1.0 s2[89]│
│0.0 + 1.0 t2[89]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.38076 θ[2] + 0.91886 θ[3] + 0.14497817759999998 θ[4] - 0.3498651336 θ[5] + 0.8443036996000001 θ[6] - 0.05520189090297599 θ[7] + 0.133214648269536 θ[8] - 0.321477076659696 θ[9] + 0.7757968974144561 θ[10] + 0.02101867198021714 θ[11] - 0.050722809475108516 θ[12] + 0.12240561170894584 θ[13] - 0.2953924266595283 θ[14] + 0.712848737158247 θ[15] - 0.008003069543187477 θ[16] + 0.01931321693574232 θ[17] - 0.04660716071429822 θ[18] + 0.11247362037488198 θ[19] - 0.27142428516037415 θ[20] + 0.6550081906252269 θ[21] + 0.003047248759264064 θ[22] - 0.007353700480453245 θ[23] + 0.01774614251357619 θ[24] - 0.042825455693940064 θ[25] + 0.10334751081766404 θ[26] - 0.24940091866246136 θ[27] + 0.601860826037896 θ[28] - 1.0 e[90]│
│0.0 + 1.0 s1[90] │
│0.0 + 1.0 t1[90] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[90] │
│0.0 + 1.0 s2[90]│
│0.0 + 1.0 t2[90]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.50749 θ[2] + 0.90424 θ[3] + 0.2575461001 θ[4] - 0.45889275760000003 θ[5] + 0.8176499776000001 θ[6] - 0.130702070339749 θ[7] + 0.232883485554424 θ[8] - 0.41494918713222406 θ[9] + 0.7393518157450242 θ[10] + 0.06632999367671921 θ[11] - 0.11818604008401465 θ[12] + 0.2105825629777324 θ[13] - 0.3752136529724423 θ[14] + 0.6685514858692806 θ[15] - 0.03366180849099823 θ[16] + 0.05997823348223658 θ[17] - 0.10686854488556942 θ[18] + 0.19041717674698475 θ[19] - 0.3392831935638012 θ[20] + 0.6045309955824383 θ[21] + 0.017083031191096693 θ[22] - 0.03043835370990024 θ[23] + 0.05423471784397761 θ[24] - 0.0966348130273273 θ[25] + 0.17218282790169348 θ[26] - 0.3067934349481316 θ[27] + 0.546641107445464 θ[28] - 1.0 e[91]│
│0.0 + 1.0 s1[91] │
│0.0 + 1.0 t1[91] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[91] │
│0.0 + 1.0 s2[91]│
│0.0 + 1.0 t2[91]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.54781 θ[2] + 0.70687 θ[3] + 0.30009579610000003 θ[4] - 0.3872304547 θ[5] + 0.4996651969 θ[6] - 0.16439547806154103 θ[7] + 0.21212871538920702 θ[8] - 0.273721591513789 θ[9] + 0.353198337732703 θ[10] + 0.09005748683689278 θ[11] - 0.11620623157736151 θ[12] + 0.14994742504716876 θ[13] - 0.19348558139335204 θ[14] + 0.24966530899311576 θ[15] - 0.04933439186411824 θ[16] + 0.0636589357203944 θ[17] - 0.08214269891508953 θ[18] + 0.10599333634309219 θ[19] - 0.13676915291951874 θ[20] + 0.17648091696796372 θ[21] + 0.027025873207082614 θ[22] - 0.03487300157698926 θ[23] + 0.04499859189267519 θ[24] - 0.05806420958210933 θ[25] + 0.07492350966084158 θ[26] - 0.09667801112422021 θ[27] + 0.12474906577714452 θ[28] - 1.0 e[92]│
│0.0 + 1.0 s1[92] │
│0.0 + 1.0 t1[92] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[92] │
│0.0 + 1.0 s2[92]│
│0.0 + 1.0 t2[92]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.10311 θ[2] + 0.77997 θ[3] + 0.010631672099999998 θ[4] + 0.0804227067 θ[5] + 0.6083532009000001 θ[6] + 0.0010962317102309997 θ[7] + 0.008292385287836998 θ[8] + 0.06272729854479901 θ[9] + 0.4744972461059731 θ[10] + 0.00011303245164191837 θ[11] + 0.0008550278470288729 θ[12] + 0.0064678117529542245 θ[13] + 0.04892541104598688 θ[14] + 0.3700936170452759 θ[15] + 1.1654776088798203e-5 θ[16] + 8.816192130714708e-5 θ[17] + 0.00066689606984711 θ[18] + 0.005044699132951707 θ[19] + 0.038160352853538394 θ[20] + 0.28866191848680384 θ[21] + 1.2017239625159826e-6 θ[22] + 9.090375705979935e-6 θ[23] + 6.876365376193552e-5 θ[24] + 0.0005201589275986504 θ[25] + 0.003934713982728343 θ[26] + 0.02976393041517434 θ[27] + 0.2251476365621524 θ[28] - 1.0 e[93]│
│0.0 + 1.0 s1[93] │
│0.0 + 1.0 t1[93] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[93] │
│0.0 + 1.0 s2[93]│
│0.0 + 1.0 t2[93]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.057028 θ[2] + 0.91886 θ[3] + 0.0032521927840000004 θ[4] + 0.052400748080000004 θ[5] + 0.8443036996000001 θ[6] + 0.00018546605008595203 θ[7] + 0.0029883098615062402 θ[8] + 0.048148951380788806 θ[9] + 0.7757968974144561 θ[10] + 1.0576757904301672e-5 θ[11] + 0.00017041733478197787 θ[12] + 0.002745838399343624 θ[13] + 0.04424214546575161 θ[14] + 0.712848737158247 θ[15] + 6.031713497665157e-7 θ[16] + 9.718559767946635e-6 θ[17] + 0.00015658967223776822 θ[18] + 0.002523041071620883 θ[19] + 0.040652337782660516 θ[20] + 0.6550081906252269 θ[21] + 3.439765573448487e-8 θ[22] + 5.542300264464607e-7 θ[23] + 8.929995828375446e-6 θ[24] + 0.00014388398623239572 θ[25] + 0.002318321519069564 θ[26] + 0.03735380709497544 θ[27] + 0.601860826037896 θ[28] - 1.0 e[94]│
│0.0 + 1.0 s1[94] │
│0.0 + 1.0 t1[94] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[94] │
│0.0 + 1.0 s2[94]│
│0.0 + 1.0 t2[94]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.10426 θ[2] + 0.99196 θ[3] + 0.010870147600000001 θ[4] - 0.1034217496 θ[5] + 0.9839846415999999 θ[6] - 0.0011333215887760002 θ[7] + 0.010782751613296001 θ[8] - 0.10259023873321599 θ[9] + 0.9760734050815358 θ[10] + 0.00011816010884578579 θ[11] - 0.0011242096832022412 θ[12] + 0.0106960582903251 θ[13] - 0.10176541321380093 θ[14] + 0.9682257749046803 θ[15] - 1.2319372948261627e-5 θ[16] + 0.00011721010157066567 θ[17] - 0.001115171037349295 θ[18] + 0.010610061981670886 θ[19] - 0.10094721929156197 θ[20] + 0.9604412396744466 θ[21] + 1.2844178235857573e-6 θ[22] - 1.2220325189757604e-5 θ[23] + 0.0001162677323540375 θ[24] - 0.0011062050622090067 θ[25] + 0.010524757083338252 θ[26] - 0.1001356036484578 θ[27] + 0.952719292107464 θ[28] - 1.0 e[95]│
│0.0 + 1.0 s1[95] │
│0.0 + 1.0 t1[95] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[95] │
│0.0 + 1.0 s2[95]│
│0.0 + 1.0 t2[95]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.081221 θ[2] + 1.1089 θ[3] + 0.006596850841 θ[4] - 0.0900659669 θ[5] + 1.22965921 θ[6] - 0.000535802822156861 θ[7] + 0.0073152478975849 θ[8] - 0.09987415069540999 θ[9] + 1.3635690979689998 θ[10] + 4.351844101840241e-5 θ[11] - 0.0005941517494897432 θ[12] + 0.008111878393631896 θ[13] - 0.11075044570614014 θ[14] + 1.512061772737824 θ[15] - 3.534611297955662e-6 θ[16] + 4.8257599245306434e-5 θ[17] - 0.0006588548750091761 θ[18] + 0.008995261950698408 θ[19] - 0.12281116924353881 θ[20] + 1.676725299788973 θ[21] + 2.8708466423125686e-7 θ[22] - 3.919530468303034e-6 θ[23] + 5.35128518031203e-5 θ[24] - 0.0007306041708976754 θ[25] + 0.009974845977129465 θ[26] - 0.13618530557416017 θ[27] + 1.8593206849359922 θ[28] - 1.0 e[96]│
│0.0 + 1.0 s1[96] │
│0.0 + 1.0 t1[96] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[96] │
│0.0 + 1.0 s2[96]│
│0.0 + 1.0 t2[96]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.28744 θ[2] + 1.087 θ[3] + 0.08262175359999999 θ[4] + 0.31244727999999994 θ[5] + 1.1815689999999999 θ[6] + 0.023748796854783993 θ[7] + 0.08980984616319998 θ[8] + 0.33963019335999994 θ[9] + 1.2843655029999999 θ[10] + 0.00682635416793911 θ[11] + 0.0258149421811502 θ[12] + 0.09762330277939837 θ[13] + 0.36917802018231993 θ[14] + 1.396105301761 θ[15] + 0.001962167242032418 θ[16] + 0.0074202469805498125 θ[17] + 0.028060842150910266 θ[18] + 0.10611653012120603 θ[19] + 0.4012965079381818 θ[20] + 1.5175664630142067 θ[21] + 0.0005640053520497981 θ[22] + 0.002132875792089238 θ[23] + 0.008065808467857646 θ[24] + 0.030502135418039457 θ[25] + 0.11534866824175095 θ[26] + 0.43620930412880354 θ[27] + 1.6495947452964426 θ[28] - 1.0 e[97]│
│0.0 + 1.0 s1[97] │
│0.0 + 1.0 t1[97] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[97] │
│0.0 + 1.0 s2[97]│
│0.0 + 1.0 t2[97]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.39689 θ[2] + 0.82383 θ[3] + 0.1575216721 θ[4] + 0.3269698887 θ[5] + 0.6786958688999999 θ[6] + 0.06251877643976901 θ[7] + 0.129771079126143 θ[8] + 0.269367603407721 θ[9] + 0.5591300176758869 θ[10] + 0.024813077181179925 θ[11] + 0.0515048435943749 θ[12] + 0.10690930811649038 θ[13] + 0.22191311271538275 θ[14] + 0.4606280824619259 θ[15] + 0.009848062202438501 θ[16] + 0.020441757374171456 θ[17] + 0.04243123529835387 θ[18] + 0.08807509530560827 θ[19] + 0.18281867964831378 θ[20] + 0.3794792331746084 θ[21] + 0.003908597407525817 θ[22] + 0.00811312908423491 θ[23] + 0.016840532977563667 θ[24] + 0.034956124575842865 θ[25] + 0.07255890576561926 θ[26] + 0.15061151285467034 θ[27] + 0.3126263766662376 θ[28] - 1.0 e[98]│
│0.0 + 1.0 s1[98] │
│0.0 + 1.0 t1[98] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[98] │
│0.0 + 1.0 s2[98]│
│0.0 + 1.0 t2[98]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.63882 θ[2] + 0.88962 θ[3] + 0.4080909924000001 θ[4] + 0.5683070484 θ[5] + 0.7914237444 θ[6] + 0.26069668776496807 θ[7] + 0.36304590865888803 θ[8] + 0.5055773163976081 θ[9] + 0.7040663914931279 θ[10] + 0.16653825807801692 θ[11] + 0.2319209873694709 θ[12] + 0.32297290126112 θ[13] + 0.44977169221364 θ[14] + 0.6263515432001164 θ[15] + 0.10638797002539878 θ[16] + 0.14815576515136542 θ[17] + 0.20632154878362868 θ[18] + 0.2873231524199175 θ[19] + 0.40012589282709843 θ[20] + 0.5572148598616875 θ[21] + 0.06796276301162525 θ[22] + 0.09464486589399526 θ[23] + 0.1318023317939577 θ[24] + 0.18354777622889173 θ[25] + 0.25560842285580704 θ[26] + 0.35595999677684326 θ[27] + 0.4957094836301545 θ[28] - 1.0 e[99]│
│0.0 + 1.0 s1[99] │
│0.0 + 1.0 t1[99] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[99] │
│0.0 + 1.0 s2[99]│
│0.0 + 1.0 t2[99]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.82316 θ[2] + 0.66301 θ[3] + 0.6775923856 θ[4] + 0.5457633116 θ[5] + 0.4395822601 θ[6] + 0.557766948130496 θ[7] + 0.449250527576656 θ[8] + 0.361846533223916 θ[9] + 0.291447434268901 θ[10] + 0.4591314410230991 θ[11] + 0.36980506428000015 θ[12] + 0.2978575922885987 θ[13] + 0.23990786999278857 θ[14] + 0.19323256339462405 θ[15] + 0.37793863699257424 θ[16] + 0.30440873671272495 θ[17] + 0.2451844556682829 θ[18] + 0.19748256226326383 θ[19] + 0.15906131688391872 θ[20] + 0.1281151218562697 θ[21] + 0.31110396842680743 θ[22] + 0.25057709571244663 θ[23] + 0.20182603652790376 θ[24] + 0.16255974595262826 θ[25] + 0.13093291360616655 θ[26] + 0.10545924370720695 θ[27] + 0.08494160694192536 θ[28] - 1.0 e[100]│
│0.0 + 1.0 s1[100] │
│0.0 + 1.0 t1[100] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[100] │
│0.0 + 1.0 s2[100]│
│0.0 + 1.0 t2[100]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.67339 θ[2] + 0.64108 θ[3] + 0.45345409210000004 θ[4] + 0.4316968612 θ[5] + 0.4109835664 θ[6] + 0.30535145107921907 θ[7] + 0.290700349363468 θ[8] + 0.276752223778096 θ[9] + 0.263473344747712 θ[10] + 0.20562061364223533 θ[11] + 0.19575470825786576 θ[12] + 0.18636217996993207 θ[13] + 0.1774203156196618 θ[14] + 0.16890749185086318 θ[15] + 0.13846286502054486 θ[16] + 0.13181926299376423 θ[17] + 0.1254944283699526 θ[18] + 0.11947306633512406 θ[19] + 0.11374061593745276 θ[20] + 0.10828321487575136 θ[21] + 0.09323950867618472 θ[22] + 0.0887657735073709 θ[23] + 0.08450669312004237 θ[24] + 0.0804519681394092 θ[25] + 0.07659179336612132 θ[26] + 0.07291683406518222 θ[27] + 0.06941820339254669 θ[28] - 1.0 e[101]│
│0.0 + 1.0 s1[101] │
│0.0 + 1.0 t1[101] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[101] │
│0.0 + 1.0 s2[101]│
│0.0 + 1.0 t2[101]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 1.0709 θ[2] + 0.10015 θ[3] + 1.1468268099999999 θ[4] + 0.107250635 θ[5] + 0.010030022500000001 θ[6] + 1.2281368308289997 θ[7] + 0.11485470502149998 θ[8] + 0.010741151095250001 θ[9] + 0.001004506753375 θ[10] + 1.3152117321347758 θ[11] + 0.12299790360752433 θ[12] + 0.011502698707903224 θ[13] + 0.0010757262821892875 θ[14] + 0.00010060135135050626 θ[15] + 1.4084602439431313 θ[16] + 0.13171845497329782 θ[17] + 0.012318240046293562 θ[18] + 0.001151995275596508 θ[19] + 0.00010773398716125715 θ[20] + 1.0075225337753202e-5 θ[21] + 1.5083200752386996 θ[22] + 0.1410572934309046 θ[23] + 0.013191603265575776 θ[24] + 0.0012336717406363 θ[25] + 0.00011537232685099028 θ[26] + 1.0789558814199903e-5 θ[27] + 1.0090338175759832e-6 θ[28] - 1.0 e[102]│
│0.0 + 1.0 s1[102] │
│0.0 + 1.0 t1[102] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[102] │
│0.0 + 1.0 s2[102]│
│0.0 + 1.0 t2[102]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.046659 θ[2] - 0.57968 θ[3] + 0.0021770622809999998 θ[4] + 0.027047289119999998 θ[5] + 0.3360289024 θ[6] - 0.00010157954896917899 θ[7] - 0.0012619994630500798 θ[8] - 0.0156787725570816 θ[9] - 0.194789234143232 θ[10] + 4.739600175352923e-6 θ[11] + 5.888363294645368e-5 θ[12] + 0.0007315558487408703 θ[13] + 0.009088670875889061 θ[14] + 0.11291542324814871 θ[15] - 2.2114500458179202e-7 θ[16] - 2.7474514296485823e-6 θ[17] - 3.4133664346400266e-5 θ[18] - 0.00042406829439810766 θ[19] - 0.00526852073333537 θ[20] - 0.06545481254848684 θ[21] + 1.0318404768781833e-8 θ[22] + 1.281933362559732e-7 θ[23] + 1.5926426447386901e-6 θ[24] + 1.9786602548321307e-5 θ[25] + 0.00024582390889669504 θ[26] + 0.003054056098699847 θ[27] + 0.03794284573810685 θ[28] - 1.0 e[103]│
│0.0 + 1.0 s1[103] │
│0.0 + 1.0 t1[103] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[103] │
│0.0 + 1.0 s2[103]│
│0.0 + 1.0 t2[103]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.23675 θ[2] - 0.63816 θ[3] + 0.05605056249999999 θ[4] + 0.15108438 θ[5] + 0.4072481855999999 θ[6] - 0.013269970671874997 θ[7] - 0.03576922696499999 θ[8] - 0.09641600794079998 θ[9] - 0.25988950212249595 θ[10] + 0.0031416655565664055 θ[11] + 0.008468364483963748 θ[12] + 0.022826489879984393 θ[13] + 0.061528839627500914 θ[14] + 0.165851084674492 θ[15] - 0.0007437893205170965 θ[16] - 0.0020048852915784173 θ[17] - 0.005404171479086305 θ[18] - 0.01456695278181084 θ[19] - 0.03926524429668598 θ[20] - 0.1058395281958738 θ[21] + 0.0001760921216324226 θ[22] + 0.00047465659278119024 θ[23] + 0.0012794375976736825 θ[24] + 0.003448726071093716 θ[25] + 0.009296046587240404 θ[26] + 0.02505750830037312 θ[27] + 0.06754255331347882 θ[28] - 1.0 e[104]│
│0.0 + 1.0 s1[104] │
│0.0 + 1.0 t1[104] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[104] │
│0.0 + 1.0 s2[104]│
│0.0 + 1.0 t2[104]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.15035 θ[2] - 0.36769 θ[3] + 0.022605122500000005 θ[4] + 0.05528219150000001 θ[5] + 0.13519593610000002 θ[6] - 0.003398680167875001 θ[7] - 0.008311677492025002 θ[8] - 0.020326708992635004 θ[9] - 0.04971019374460901 θ[10] + 0.0005109915632400064 θ[11] + 0.0012496607109259593 θ[12] + 0.0030561206970426734 θ[13] + 0.007473927629501965 θ[14] + 0.018277941137955285 θ[15] - 7.682758153313498e-5 θ[16] - 0.00018788648788771797 θ[17] - 0.00045948774680036603 θ[18] - 0.0011237050190956207 θ[19] - 0.0027480884500915774 θ[20] - 0.006720616177014779 θ[21] + 1.1551026883506844e-5 θ[22] + 2.82487334539184e-5 θ[23] + 6.908398273143504e-5 θ[24] + 0.00016894904962102658 θ[25] + 0.0004131750984712687 θ[26] + 0.0010104446422141721 θ[27] + 0.0024711033621265645 θ[28] - 1.0 e[105]│
│0.0 + 1.0 s1[105] │
│0.0 + 1.0 t1[105] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[105] │
│0.0 + 1.0 s2[105]│
│0.0 + 1.0 t2[105]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.49021 θ[2] - 0.3019 θ[3] + 0.24030584409999997 θ[4] + 0.147994399 θ[5] + 0.09114361 θ[6] - 0.11780032783626099 θ[7] - 0.07254833433378999 θ[8] - 0.044679509058099996 θ[9] - 0.027516255859 θ[10] + 0.05774689870861349 θ[11] + 0.03556391897376719 θ[12] + 0.0219023421353712 θ[13] + 0.013488743784640388 θ[14] + 0.0083071576438321 θ[15] - 0.028308107215949417 θ[16] - 0.017433788720130412 θ[17] - 0.010736747138180316 θ[18] - 0.006612317090668565 θ[19] - 0.004072251748582933 θ[20] - 0.0025079308926729106 θ[21] + 0.013876917238330564 θ[22] + 0.00854621756849513 θ[23] + 0.005263260814607372 θ[24] + 0.003241423961016637 θ[25] + 0.0019962585296728398 θ[26] + 0.0012294128028971876 θ[27] + 0.0007571443364979519 θ[28] - 1.0 e[106]│
│0.0 + 1.0 s1[106] │
│0.0 + 1.0 t1[106] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[106] │
│0.0 + 1.0 s2[106]│
│0.0 + 1.0 t2[106]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.46717 θ[2] - 0.13377 θ[3] + 0.21824780889999998 θ[4] + 0.0624933309 θ[5] + 0.0178944129 θ[6] - 0.10195882888381298 θ[7] - 0.029195009396552996 θ[8] - 0.008359732874492999 θ[9] - 0.002393735613633 θ[10] + 0.04763210608965091 θ[11] + 0.013639032539787663 θ[12] + 0.0039054164069768946 θ[13] + 0.0011182814666209286 θ[14] + 0.00032021001303568643 θ[15] - 0.022252291001902215 θ[16] - 0.006371746831612603 θ[17] - 0.0018244933828473957 θ[18] - 0.0005224275527612992 θ[19] - 0.00014959251178988162 θ[20] - 4.2834493443783775e-5 θ[21] + 0.010395602787358656 θ[22] + 0.002976688967324459 θ[23] + 0.0008523485736648179 θ[24] + 0.00024406247982349612 θ[25] + 6.988513373287899e-5 θ[26] + 2.0010990302132466e-5 θ[27] + 5.729970187974955e-6 θ[28] - 1.0 e[107]│
│0.0 + 1.0 s1[107] │
│0.0 + 1.0 t1[107] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[107] │
│0.0 + 1.0 s2[107]│
│0.0 + 1.0 t2[107]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.28859 θ[2] - 0.060673 θ[3] + 0.0832841881 θ[4] + 0.017509621070000002 θ[5] + 0.003681212929 θ[6] - 0.024034983843779 θ[7] - 0.0050531015445913 θ[8] - 0.00106236123918011 θ[9] - 0.00022335023204121698 θ[10] + 0.006936255987476183 θ[11] + 0.0014582745747536033 θ[12] + 0.00030658683001498797 θ[13] + 6.445664346477481e-5 θ[14] + 1.3551328628636757e-5 θ[15] - 0.002001734115425752 θ[16] - 0.00042084345952814244 θ[17] - 8.847789327402537e-5 θ[18] - 1.8601542737499362e-5 θ[19] - 3.9107779289382816e-6 θ[20] - 8.22199761885278e-7 θ[21] + 0.0005776804483707177 θ[22] + 0.00012145121398522665 θ[23] + 2.5533835219950985e-5 θ[24] + 5.3682192186149414e-6 θ[25] + 1.1286114025122988e-6 θ[26] + 2.3727862928247238e-7 θ[27] + 4.988532615286547e-8 θ[28] - 1.0 e[108]│
│0.0 + 1.0 s1[108] │
│0.0 + 1.0 t1[108] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[108] │
│0.0 + 1.0 s2[108]│
│0.0 + 1.0 t2[108]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.61118 θ[2] - 0.067982 θ[3] + 0.37354099239999994 θ[4] + 0.041549238759999996 θ[5] + 0.004621552324 θ[6] - 0.22830078373503193 θ[7] - 0.025394063745336797 θ[8] - 0.0028246003493823195 θ[9] - 0.00031418237009016797 θ[10] + 0.13953287300317682 θ[11] + 0.015520343879874941 θ[12] + 0.001726339241535486 θ[13] + 0.00019202198095170884 θ[14] + 2.1358745883469803e-5 θ[15] - 0.08527970132208158 θ[16] - 0.009485723772501967 θ[17] - 0.0010551040176416582 θ[18] - 0.0001173599943180654 θ[19] - 1.3054038309059073e-5 θ[20] - 1.4520102626500442e-6 θ[21] + 0.05212124785402982 θ[22] + 0.00579748465527775 θ[23] + 0.0006448584735022286 θ[24] + 7.17280813273152e-5 θ[25] + 7.978367133730723e-6 θ[26] + 8.87439632326454e-7 θ[27] + 9.87105616754753e-8 θ[28] - 1.0 e[109]│
│0.0 + 1.0 s1[109] │
│0.0 + 1.0 t1[109] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[109] │
│0.0 + 1.0 s2[109]│
│0.0 + 1.0 t2[109]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.66302 θ[2] - 0.21418 θ[3] + 0.43959552040000005 θ[4] + 0.14200562360000002 θ[5] + 0.045873072400000006 θ[6] - 0.29146062193560807 θ[7] - 0.09415256855927201 θ[8] - 0.030414764462648007 θ[9] - 0.009825094646632001 θ[10] + 0.1932442215557469 θ[11] + 0.06242503600616854 θ[12] + 0.020165597134024882 θ[13] + 0.00651423425260995 θ[14] + 0.002104338771415642 θ[15] - 0.1281247837758913 θ[16] - 0.04138904737280987 θ[17] - 0.01337019421180118 θ[18] - 0.004319067594165449 θ[19] - 0.0013952186922239992 θ[20] - 0.00045070727806180227 θ[21] + 0.08494929413909146 θ[22] + 0.027441766189120396 θ[23] + 0.008864706166308418 θ[24] + 0.002863628196283576 θ[25] + 0.000925057897318356 θ[26] + 0.00029882793950053617 θ[27] + 9.653248481527681e-5 θ[28] - 1.0 e[110]│
│0.0 + 1.0 s1[110] │
│0.0 + 1.0 t1[110] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[110] │
│0.0 + 1.0 s2[110]│
│0.0 + 1.0 t2[110]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.59965 θ[2] - 0.41886 θ[3] + 0.35958012250000004 θ[4] + 0.251169399 θ[5] + 0.1754436996 θ[6] - 0.21562222045712504 θ[7] - 0.15061373011035 θ[8] - 0.10520481446514 θ[9] - 0.073486348014456 θ[10] + 0.12929786449711503 θ[11] + 0.0903155232606714 θ[12] + 0.06308606699402121 θ[13] + 0.04406608858686854 θ[14] + 0.030780491729335044 θ[15] - 0.07753346444569503 θ[16] - 0.0541577035232616 θ[17] - 0.03782956007296482 θ[18] - 0.026424230021115724 θ[19] - 0.01845752186549576 θ[20] - 0.012892716765749277 θ[21] + 0.04649294195486102 θ[22] + 0.03247566691772382 θ[23] + 0.022684495697753354 θ[24] + 0.015845289532162046 θ[25] + 0.011068052986644534 θ[26] + 0.007731117608581554 θ[27] + 0.005400243344501742 θ[28] - 1.0 e[111]│
│0.0 + 1.0 s1[111] │
│0.0 + 1.0 t1[111] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[111] │
│0.0 + 1.0 s2[111]│
│0.0 + 1.0 t2[111]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.72638 θ[2] - 0.082602 θ[3] + 0.5276279044000001 θ[4] + 0.060000440759999996 θ[5] + 0.006823090403999999 θ[6] - 0.38325835719807205 θ[7] - 0.043583120159248805 θ[8] - 0.0049561564076575195 θ[9] - 0.0005636009135512079 θ[10] + 0.27839120550153557 θ[11] + 0.031657906821275145 θ[12] + 0.003600052891394269 θ[13] + 0.0004093884315853264 θ[14] + 4.655456266115687e-5 θ[15] - 0.20221780385220542 θ[16] - 0.02299567035683784 θ[17] - 0.0026150064192509695 θ[18] - 0.00029737156893494944 θ[19] - 3.381630322581113e-5 θ[20] - 3.84549998493688e-6 θ[21] + 0.14688696836216497 θ[22] + 0.01670359503379987 θ[23] + 0.001899488362815519 θ[24] + 0.00021600476024296857 θ[25] + 2.456348633716469e-5 θ[26] + 2.793294279058451e-6 θ[27] + 3.176459897557561e-7 θ[28] - 1.0 e[112]│
│0.0 + 1.0 s1[112] │
│0.0 + 1.0 t1[112] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[112] │
│0.0 + 1.0 s2[112]│
│0.0 + 1.0 t2[112]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.83007 θ[2] + 0.31213 θ[3] + 0.6890162048999999 θ[4] - 0.2590897491 θ[5] + 0.09742513690000001 θ[6] - 0.571931681201343 θ[7] + 0.215062628035437 θ[8] - 0.08086968338658301 θ[9] + 0.030409307980597006 θ[10] + 0.47474333061479873 θ[11] - 0.17851703565337518 θ[12] + 0.06712749808870096 θ[13] - 0.025241854275454157 θ[14] + 0.009491657299983743 θ[15] - 0.394070196443426 θ[16] + 0.14818163578479715 θ[17] - 0.055720522338488 θ[18] + 0.02095250597842623 θ[19] - 0.007878739974997506 θ[20] + 0.002962630993043926 θ[21] + 0.3271058479617946 θ[22] - 0.12300113041588656 θ[23] + 0.046251933977508736 θ[24] - 0.017392046637512263 θ[25] + 0.006539905691046179 θ[26] - 0.0024591911083959718 θ[27] + 0.0009247260118588008 θ[28] - 1.0 e[113]│
│0.0 + 1.0 s1[113] │
│0.0 + 1.0 t1[113] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[113] │
│0.0 + 1.0 s2[113]│
│0.0 + 1.0 t2[113]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.72062 θ[2] + 0.53874 θ[3] + 0.5192931844 θ[4] - 0.38822681880000004 θ[5] + 0.2902407876 θ[6] - 0.37421305454232806 θ[7] + 0.27976401016365604 θ[8] - 0.209153316360312 θ[9] + 0.156364321911624 θ[10] + 0.26966541136429245 θ[11] - 0.20160354100413383 θ[12] + 0.15072006283556805 θ[13] - 0.11267925765595449 θ[14] + 0.08423971478666831 θ[15] - 0.19432628873733643 θ[16] + 0.1452795437183989 θ[17] - 0.10861189168056705 θ[18] + 0.08119892665203393 θ[19] - 0.06070482326956892 θ[20] + 0.04538330394416969 θ[21] + 0.1400354101898994 θ[22] - 0.10469134479435263 θ[23] + 0.07826790138285022 θ[24] - 0.058513570523988694 θ[25] + 0.04374510974451676 θ[26] - 0.03270411648824756 θ[27] + 0.024449801166881974 θ[28] - 1.0 e[114]│
│0.0 + 1.0 s1[114] │
│0.0 + 1.0 t1[114] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[114] │
│0.0 + 1.0 s2[114]│
│0.0 + 1.0 t2[114]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.59389 θ[2] + 0.49488 θ[3] + 0.35270533210000005 θ[4] - 0.2939042832 θ[5] + 0.2449062144 θ[6] - 0.20946816968086904 θ[7] + 0.174546814749648 θ[8] - 0.145447351670016 θ[9] + 0.12119918738227199 θ[10] + 0.12440105129177131 θ[11] - 0.10366160781166847 θ[12] + 0.0863797276833058 θ[13] - 0.07197898539445752 θ[14] + 0.05997905385173876 θ[15] - 0.07388054035167006 θ[16] + 0.06156359226327179 θ[17] - 0.05130005647383849 θ[18] + 0.04274759963591438 θ[19] - 0.03562096029200913 θ[20] + 0.029682434170148476 θ[21] + 0.04387691410945334 θ[22] - 0.03656200180923448 θ[23] + 0.03046659053924794 θ[24] - 0.025387371947773192 θ[25] + 0.021154932107821305 θ[26] - 0.01762810082930948 θ[27] + 0.014689243022123079 θ[28] - 1.0 e[115]│
│0.0 + 1.0 s1[115] │
│0.0 + 1.0 t1[115] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[115] │
│0.0 + 1.0 s2[115]│
│0.0 + 1.0 t2[115]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.48445 θ[2] + 0.99927 θ[3] + 0.2346918025 θ[4] - 0.48409635149999997 θ[5] + 0.9985405329 θ[6] - 0.11369644372112499 θ[7] + 0.23452047748417498 θ[8] - 0.483742961163405 θ[9] + 0.997811598310983 θ[10] + 0.055080242160699004 θ[11] - 0.11361344531720856 θ[12] + 0.23434927753561155 θ[13] - 0.4833898288017557 θ[14] + 0.9970831958442159 θ[15] - 0.026683623314750632 θ[16] + 0.05504003358392169 θ[17] - 0.11353050750212701 θ[18] + 0.23417820256301053 θ[19] - 0.4830369542267304 θ[20] + 0.9963553251112496 θ[21] + 0.012926881314830944 θ[22] - 0.026664144269730863 θ[23] + 0.05499985435940543 θ[24] - 0.11344763023165044 θ[25] + 0.23400725247513954 θ[26] - 0.48268433725014487 θ[27] + 0.9956279857239184 θ[28] - 1.0 e[116]│
│0.0 + 1.0 s1[116] │
│0.0 + 1.0 t1[116] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[116] │
│0.0 + 1.0 s2[116]│
│0.0 + 1.0 t2[116]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] - 0.0063364 θ[2] + 0.99927 θ[3] + 4.014996496e-5 θ[4] - 0.006331774428 θ[5] + 0.9985405329 θ[6] - 2.54406237972544e-7 θ[7] + 4.0120655485579195e-5 θ[8] - 0.00632715223266756 θ[9] + 0.997811598310983 θ[10] + 1.6120196862892277e-9 θ[11] - 2.54220521418824e-7 θ[12] + 4.009136740707473e-5 θ[13] - 0.006322533411537713 θ[14] + 0.9970831958442159 θ[15] - 1.0214401540203063e-11 θ[16] + 1.6108429119182365e-9 θ[17] - 2.540349404381883e-7 θ[18] + 4.006210070886756e-5 θ[19] - 0.006317917962147289 θ[20] + 0.9963553251112496 θ[21] + 6.472253391934268e-14 θ[22] - 1.0206945027078714e-11 θ[23] + 1.6096669965925363e-9 θ[24] - 2.538494949316684e-7 θ[25] + 4.0032855375350085e-5 θ[26] - 0.006313305882034922 θ[27] + 0.9956279857239184 θ[28] - 1.0 e[117]│
│0.0 + 1.0 s1[117] │
│0.0 + 1.0 t1[117] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[117] │
│0.0 + 1.0 s2[117]│
│0.0 + 1.0 t2[117]│
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 + 1.0 θ[1] + 0.63265 θ[2] - 0.030612 θ[3] + 0.4002460225000001 θ[4] - 0.0193666818 θ[5] + 0.0009370945440000001 θ[6] + 0.25321564613462505 θ[7] - 0.012252331240770003 θ[8] + 0.0005928528632616001 θ[9] - 2.8686338180928003e-5 θ[10] + 0.16019687852707054 θ[11] - 0.007751437359473142 θ[12] + 0.00037506836394245137 θ[13] - 1.8148411850164103e-5 θ[14] + 8.78146184394568e-7 θ[15] + 0.1013485552001512 θ[16] - 0.004903946845470683 θ[17] + 0.00023728700044819184 θ[18] - 1.1481592757006322e-5 θ[19] + 5.555591835572235e-7 θ[20] - 2.6881810996686514e-8 θ[21] + 0.06411816344737566 θ[22] - 0.0031024819717870283 θ[23] + 0.00015011962083354857 θ[24] - 7.263829657720049e-6 θ[25] + 3.514745174774775e-7 θ[26] - 1.7006777727053724e-8 θ[27] + 8.229059982305676e-10 θ[28] - 1.0 e[118]│
│0.0 + 1.0 s1[118] │
│0.0 + 1.0 t1[118] │
└ ┘ ∈ ExponentialCone()
┌ ┐
│0.0 - 1.0 e[118] │
│0.0 + 1.0 s2[118]│
│0.0 + 1.0 t2[118]│
└ ┘ ∈ ExponentialCone()
------------------------------------------------------------------
COSMO v0.8.10 - A Quadratic Objective Conic Solver
Michael Garstka
University of Oxford, 2017 - 2022
------------------------------------------------------------------
Problem: x ∈ R^{619},
constraints: A ∈ R^{1091x619} (4513 nnz),
matrix size to factor: 1710x1710,
Floating-point precision: Float64
Sets: ZeroSet of dim: 236
Nonnegatives of dim: 118
SecondOrderCone of dim: 29
ExponentialCone of dim: 3
ExponentialCone of dim: 3
... and 234 more
Settings: ϵ_abs = 1.0e-05, ϵ_rel = 1.0e-05,
ϵ_prim_inf = 1.0e-04, ϵ_dual_inf = 1.0e-04,
ρ = 0.1, σ = 1e-06, α = 1.6,
max_iter = 5000,
scaling iter = 10 (on),
check termination every 25 iter,
check infeasibility every 40 iter,
KKT system solver: QDLDL
Acc: Anderson Type2{QRDecomp},
Memory size = 15, RestartedMemory,
Safeguarded: true, tol: 2.0
Setup Time: 25.37ms
Iter: Objective: Primal Res: Dual Res: Rho:
1 -1.2883e+03 2.5314e+01 1.7951e+00 1.0000e-01
25 4.5884e+01 3.4757e-02 1.0876e-02 1.0000e-01
50 5.2041e+01 3.4769e-04 1.3217e-04 1.0000e-01
75 5.1927e+01 1.6121e-05 1.1860e-05 1.0000e-01
------------------------------------------------------------------
>>> Results
Status: Solved
Iterations: 75
Optimal objective: 51.93
Runtime: 0.531s (531.39ms)theta = value.(θ)28-element Vector{Float64}:
2.6744948145350746
1.7749166516195138
2.934288028152594
-4.053085641725458
-3.3812386314750293
-4.053115438797342
0.7776022537005584
-1.0919483387978546
-0.4631189033492901
-0.4889526064626356
⋮
-1.2247684486038053
-0.092774925189709
-2.6855901416509176
0.4665495416115701
-0.7660975549546193
0.44945465573940224
-1.190882808711179
-0.9542318081728107
-1.1918983762294724Once we have solved the optimisation problem and obtained the parameter vector $\theta$, we can plot the decision boundary. This can be done by evaluating our model over a grid of points $(u,v)$ and then plotting the contour line where the function $g$ returns a probability of $p=0.5$.
# First we evaluate our model over a grid of points z = θ' x
u = collect(range(-1., stop = 1.5, length = 50))
v = collect(range(-1., stop = 1.5, length = 50))
z = zeros(length(u), length(v));
for i = 1:length(u), j = 1:length(v)
z[i, j] = dot(map_feature(u[i], v[j]), theta);
endTo add the decision boundary we have to plot the line indicating $50\%$ probability of acceptance, i.e. $g(\theta^\top x) = g(z) = 0.5$ which we get at $z=0$.
plot(x1[1:n_half-1], x2[1:n_half-1], color = :blue, st = :scatter, markershape = :cross, aspect_ratio=:equal, label = "Accepted", xlabel = "x1 - Microchip Test Score 1", ylabel = "x2 - Microchip Test Score 2")
plot!(x1[n_half:end], x2[n_half:end], color = :red, st = :scatter, markershape = :circle, label = "Rejected")
contour!(u, v, z', levels = [0.], c = :black, linewidth = 2)
Solving the optimisation problem directly with COSMO
We can solve the problem directly in COSMO by using its modeling interface. The problem will have $nn = 5 n + n_\theta + 1$ variables. Let us define the cost function $\frac{1}{2}x^\top P x + q^\top x$:
nn = 5 * n + n_theta + 1
P = spzeros(nn, nn)
q = zeros(nn)
q[1] = μ
for i = 1:n
q[1 + n_theta + (i - 1) * 5 + 1] = 1.
endNext we define a function that creates the COSMO.Constraints for a given sample:
# the order of the variables
# v, thetas, [e1 t11 t12 s11 s12] [e2 t21 t22 s21 s22] ...
# for each sample create two exponential cone constraints,
# 1 nonnegatives constraint, 2 zeroset constraints
function add_log_regression_constraints!(constraint_list, x, y, n, sample_num)
num_thetas = length(x)
# 1st exponential cone constraint (zi - ei, s1, t1) in Kexp
c_start = 1 + num_thetas + (sample_num - 1) * 5 + 1
A = spzeros(3, n)
A[1, c_start] = -1.
y == 1. ? (a = -1) : (a = 1)
for k = 1:num_thetas
A[1, 2 + k - 1] = a * x[k]
end
A[2, c_start + 3] = 1.
A[3, c_start + 1] = 1.
b = zeros(3)
push!(constraint_list, COSMO.Constraint(A, b, COSMO.ExponentialCone))
# 2nd exponential cone constraint (-e, s2, t2)
A = spzeros(3, n)
A[1, c_start] = -1.
A[2, c_start + 4] = 1.
A[3, c_start + 2] = 1.
b = zeros(3)
push!(constraint_list, COSMO.Constraint(A, b, COSMO.ExponentialCone))
# Nonnegatives constraint t1 + t2 <= 1
A = spzeros(1, n)
A[1, c_start + 1] = -1.
A[1, c_start + 2] = -1.
b = [1.]
push!(constraint_list, COSMO.Constraint(A, b, COSMO.Nonnegatives))
# ZeroSet constraint s1 == 1, s2 == 1
A = spzeros(2, n)
A[1, c_start + 3] = 1.
A[2, c_start + 4] = 1.
b = -1 * ones(2)
push!(constraint_list, COSMO.Constraint(A, b, COSMO.ZeroSet))
end
nothingNow we can use this function to loop over the sample points and add the constraints to our constraint list:
constraint_list = Array{COSMO.Constraint{Float64}}(undef, 0)
for i = 1:n
add_log_regression_constraints!(constraint_list, X[i, :], y[i], nn, i )
endIt remains to add a second order cone constraint for the regularisation term: $\|\theta \|_2 \leq v$
push!(constraint_list, COSMO.Constraint(Matrix(1.0I, n_theta + 1, n_theta + 1), zeros(n_theta + 1), COSMO.SecondOrderCone, nn, 1:n_theta+1));We can now create, assemble, and solve our COSMO.Model:
model = COSMO.Model()
assemble!(model, P, q, constraint_list, settings = COSMO.Settings(verbose=true))
res = COSMO.optimize!(model);------------------------------------------------------------------
COSMO v0.8.10 - A Quadratic Objective Conic Solver
Michael Garstka
University of Oxford, 2017 - 2022
------------------------------------------------------------------
Problem: x ∈ R^{619},
constraints: A ∈ R^{1091x619} (4513 nnz),
matrix size to factor: 1710x1710,
Floating-point precision: Float64
Sets: ZeroSet of dim: 236
Nonnegatives of dim: 118
SecondOrderCone of dim: 29
ExponentialCone of dim: 3
ExponentialCone of dim: 3
... and 234 more
Settings: ϵ_abs = 1.0e-05, ϵ_rel = 1.0e-05,
ϵ_prim_inf = 1.0e-04, ϵ_dual_inf = 1.0e-04,
ρ = 0.1, σ = 1e-06, α = 1.6,
max_iter = 5000,
scaling iter = 10 (on),
check termination every 25 iter,
check infeasibility every 40 iter,
KKT system solver: QDLDL
Acc: Anderson Type2{QRDecomp},
Memory size = 15, RestartedMemory,
Safeguarded: true, tol: 2.0
Setup Time: 16.58ms
Iter: Objective: Primal Res: Dual Res: Rho:
1 -1.2883e+03 2.5314e+01 1.7951e+00 1.0000e-01
25 4.5884e+01 3.4757e-02 1.0876e-02 1.0000e-01
50 5.2041e+01 3.4769e-04 1.3217e-04 1.0000e-01
75 5.1927e+01 1.6114e-05 1.1857e-05 1.0000e-01
------------------------------------------------------------------
>>> Results
Status: Solved
Iterations: 75
Optimal objective: 51.93
Runtime: 0.122s (121.86ms)Let us double check that we get the same $\theta$ as in the previous section:
using Test
theta_cosmo = res.x[2:2+n_theta-1]
@test norm(theta_cosmo - theta) < 1e-4Test PassedThis page was generated using Literate.jl.