When working with triangular lattices, it’s often useful to generate lattice vectors like \mathbf{R} = n_1 \mathbf{a}_1 + n_2 \mathbf{a}_2 that point to neighbor shells (first nearest neighbor (NN) R_1, second NN R_2, third NN R_3, and so on). This might be useful, for instance, in visualizing the spin texture corresponding to a spin-spiral propagation vector.
These shells are typically classified using the squared length of the lattice vector:
|\mathbf{R}|^2 = n_1^2 + n_2^2 - n_1 n_2.This formula comes from expressing the lattice vectors of a 2D triangular lattice as:
\mathbf{a}_1 = a (1, 0), \quad \mathbf{a}_2 = a \left(-\frac{1}{2}, \frac{\sqrt{3}}{2}\right).Then computing the length squared of any combination \mathbf{R} = n_1 \mathbf{a}_1 + n_2 \mathbf{a}_2 gives:
|\mathbf{R}|^2 = \mathbf{R} \cdot \mathbf{R} = (n_1 \mathbf{a}_1 + n_2 \mathbf{a}_2) \cdot (n_1 \mathbf{a}_1 + n_2 \mathbf{a}_2)which simplifies (using the geometry of the triangular lattice) to the first equation above.
But a key challenge is: how do we know which squared distances (shells) to include without missing any?
Trick: Use real coordinates to generate the needed distances
Here’s a trick to get all relevant shells without guessing:
- Start with a VASP
POSCARof a single unit cell of a triangular lattice. For example, you may use:
sample triangular lattice using Cl atom
1.0
6.744 0.000000 0.0000000000000000
-3.372 5.840475 0.0000000000000000
0.000 0.000000 25.0000000000000000
Cl
1
Direct
0.333333333 0.666666667 0.0
- Open it in VESTA, create a supercell (e.g., 25×25, depending on how many neighbors you want), and export the Cartesian coordinates. To create a supercell, do Edit –> Edit Data –> Unit Cell –> Transform, and enter 25 in the first two diagonals of the matrix (replacing 1).
- Next, extract the x and y coordinates from this exported file for use in Python. For instance, open the file in a text editor and copy all coordinates (appearing below “Cartesian”), paste it into MS Excel (ensuring x, y and z are in 3 different columns). We will only use x and y.
- These real coordinates now include all actual distances out to many shells. So we can extract squared distances directly and use them in our code. This guarantees we won’t miss any shells, avoids manual trial-and-error, and ensures we catch non-integer lattice combinations too.
Python Code
Below is a Python script that:
- Reads the Excel data,
- Computes all squared distances from the first atom,
- Uses those to generate ideal lattice vectors using the analytic formula above,
- Filters duplicates and sorts the vectors by increasing magnitude,
- Plots their vector endpoints as circles. If all dots are as expected for a triangular lattice (they look like vertices of triangles), we have the vectors needed.
A small numerical tolerance (np.isclose) is used when matching squared distances to account for floating-point inaccuracies.
Please see the comments for extra information and flags for variables that might have to be changed.
Code:
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
# Load data from Excel
file_path = "coords.xlsx" # Change this to match your file name
sheet_name = "coords" # Change this to match your sheet name (if .xlsx)
data = pd.read_excel(file_path, sheet_name=sheet_name)
x = data['x25x25'].values #x25x25 and y25x25 are the column names I gave for the x and y coordinates
y = data['y25x25'].values
x0, y0 = x[0], y[0] # Choose first atom as reference
# Lattice constant and lattice vectors
a = 6.744 # Get this from the sample POSCAR used to generate supercell
a1 = a * np.array([1, 0]) # Lattice vectors for triangular lattice
a2 = a * np.array([-0.5, np.sqrt(3) / 2])
# Relative coordinates from origin
x_rel = x - x0
y_rel = y - y0
R_numerical = np.column_stack((x_rel, y_rel))
# Compute distances and get scaled squared values
distances = np.linalg.norm(R_numerical, axis=1)
scaled_distances = distances / a
squared_scaled = np.round(scaled_distances**2, 3)
# Use all (not unique!) squared distances — this is critical
shells = squared_scaled
# Function to generate ideal R vectors for a given shell
def get_R(target_sq_mag):
R_cartesian = []
for n1 in range(-50, 51): # Increase this range if you want more vectors; ensuring you have data from a large-enough supercell
for n2 in range(-50, 51):
sq_mag = n1**2 + n2**2 - n1 * n2
if np.isclose(sq_mag, target_sq_mag, atol=1e-5):
R = n1 * a1 + n2 * a2
R_cartesian.append(R)
return R_cartesian
# Gather all ideal R vectors from all observed shells
all_R = []
seen = set()
for g in shells:
for r in get_R(g):
key = tuple(np.round(r, 3)) # Avoid duplicates
if key not in seen:
all_R.append(r)
seen.add(key)
# Sort R vectors by magnitude
all_R = np.array(all_R)
magnitudes = np.linalg.norm(all_R, axis=1)
sorted_indices = np.argsort(magnitudes)
sorted_R = all_R[sorted_indices]
# Print vectors in units of a
print("R vectors (in units of a):")
for r in sorted_R:
print(f"{r/a} | magnitude = {np.round(np.linalg.norm(r/a), 4)}")
# Plot only arrowhead endpoints
plt.figure(figsize=(8, 8))
plt.scatter(sorted_R[:, 0], sorted_R[:, 1], marker='.', color='black', s=30)
plt.scatter(0, 0, color='red', s=50, label='Origin')
plt.gca().set_aspect('equal', adjustable='box')
plt.xlabel("X")
plt.ylabel("Y")
plt.title("Arrowhead Endpoints of Ideal Lattice Vectors R")
plt.grid(False)
plt.xlim(-175, 175) # Not all vectors will be calculated/plotted past a certain range (as in figure below), depending on how large of a supercell is used. These limits truncate the figure so it looks uniformly filled.
plt.ylim(-175, 175)
plt.legend()
plt.show()
The above would generate something like:
This is the end of this tutorial. For your reference, I provide a very long list of the lattice vectors I got (which make sense, compared to a1 and a2 in the code above, for instance). These should hold true for a general triangular lattice, as they are in terms of a. Nothing else follows after this list, so you don’t have to worry about scrolling all the way to the bottom unless you want to leave a comment. Hope you found this helpful!
R vectors (in units of a):
[0. 0.] | magnitude = 0.0
[ 0.5 -0.8660254] | magnitude = 1.0
[-0.5 0.8660254] | magnitude = 1.0
[1. 0.] | magnitude = 1.0
[0.5 0.8660254] | magnitude = 1.0
[-0.5 -0.8660254] | magnitude = 1.0
[-1. 0.] | magnitude = 1.0
[-1.5 -0.8660254] | magnitude = 1.7321
[0. 1.73205081] | magnitude = 1.7321
[ 1.5 -0.8660254] | magnitude = 1.7321
[-1.5 0.8660254] | magnitude = 1.7321
[1.5 0.8660254] | magnitude = 1.7321
[ 0. -1.73205081] | magnitude = 1.7321
[2. 0.] | magnitude = 2.0
[1. 1.73205081] | magnitude = 2.0
[-2. 0.] | magnitude = 2.0
[-1. 1.73205081] | magnitude = 2.0
[ 1. -1.73205081] | magnitude = 2.0
[-1. -1.73205081] | magnitude = 2.0
[ 0.5 -2.59807621] | magnitude = 2.6458
[-0.5 -2.59807621] | magnitude = 2.6458
[-2.5 -0.8660254] | magnitude = 2.6458
[-2. -1.73205081] | magnitude = 2.6458
[-2. 1.73205081] | magnitude = 2.6458
[-0.5 2.59807621] | magnitude = 2.6458
[ 2. -1.73205081] | magnitude = 2.6458
[0.5 2.59807621] | magnitude = 2.6458
[-2.5 0.8660254] | magnitude = 2.6458
[ 2.5 -0.8660254] | magnitude = 2.6458
[2. 1.73205081] | magnitude = 2.6458
[2.5 0.8660254] | magnitude = 2.6458
[1.5 2.59807621] | magnitude = 3.0
[-1.5 -2.59807621] | magnitude = 3.0
[-1.5 2.59807621] | magnitude = 3.0
[-3. 0.] | magnitude = 3.0
[3. 0.] | magnitude = 3.0
[ 1.5 -2.59807621] | magnitude = 3.0
[3. 1.73205081] | magnitude = 3.4641
[-3. 1.73205081] | magnitude = 3.4641
[ 0. -3.46410162] | magnitude = 3.4641
[-3. -1.73205081] | magnitude = 3.4641
[0. 3.46410162] | magnitude = 3.4641
[ 3. -1.73205081] | magnitude = 3.4641
[-3.5 0.8660254] | magnitude = 3.6056
[-2.5 2.59807621] | magnitude = 3.6056
[ 1. -3.46410162] | magnitude = 3.6056
[ 2.5 -2.59807621] | magnitude = 3.6056
[-1. 3.46410162] | magnitude = 3.6056
[2.5 2.59807621] | magnitude = 3.6056
[3.5 0.8660254] | magnitude = 3.6056
[-1. -3.46410162] | magnitude = 3.6056
[-2.5 -2.59807621] | magnitude = 3.6056
[-3.5 -0.8660254] | magnitude = 3.6056
[1. 3.46410162] | magnitude = 3.6056
[ 3.5 -0.8660254] | magnitude = 3.6056
[2. 3.46410162] | magnitude = 4.0
[-2. 3.46410162] | magnitude = 4.0
[ 2. -3.46410162] | magnitude = 4.0
[4. 0.] | magnitude = 4.0
[-4. 0.] | magnitude = 4.0
[-2. -3.46410162] | magnitude = 4.0
[-3.5 2.59807621] | magnitude = 4.3589
[-0.5 -4.33012702] | magnitude = 4.3589
[3.5 2.59807621] | magnitude = 4.3589
[4. 1.73205081] | magnitude = 4.3589
[0.5 4.33012702] | magnitude = 4.3589
[ 4. -1.73205081] | magnitude = 4.3589
[-0.5 4.33012702] | magnitude = 4.3589
[ 3.5 -2.59807621] | magnitude = 4.3589
[-4. 1.73205081] | magnitude = 4.3589
[-3.5 -2.59807621] | magnitude = 4.3589
[-4. -1.73205081] | magnitude = 4.3589
[ 0.5 -4.33012702] | magnitude = 4.3589
[-3. 3.46410162] | magnitude = 4.5826
[ 3. -3.46410162] | magnitude = 4.5826
[-4.5 -0.8660254] | magnitude = 4.5826
[-3. -3.46410162] | magnitude = 4.5826
[-4.5 0.8660254] | magnitude = 4.5826
[3. 3.46410162] | magnitude = 4.5826
[4.5 0.8660254] | magnitude = 4.5826
[ 4.5 -0.8660254] | magnitude = 4.5826
[1.5 4.33012702] | magnitude = 4.5826
[-1.5 -4.33012702] | magnitude = 4.5826
[ 1.5 -4.33012702] | magnitude = 4.5826
[-1.5 4.33012702] | magnitude = 4.5826
[ 2.5 -4.33012702] | magnitude = 5.0
[2.5 4.33012702] | magnitude = 5.0
[-2.5 4.33012702] | magnitude = 5.0
[5. 0.] | magnitude = 5.0
[-5. 0.] | magnitude = 5.0
[-2.5 -4.33012702] | magnitude = 5.0
[ 0. -5.19615242] | magnitude = 5.1962
[0. 5.19615242] | magnitude = 5.1962
[4.5 2.59807621] | magnitude = 5.1962
[ 4.5 -2.59807621] | magnitude = 5.1962
[-4.5 2.59807621] | magnitude = 5.1962
[-4.5 -2.59807621] | magnitude = 5.1962
[5. 1.73205081] | magnitude = 5.2915
[4. 3.46410162] | magnitude = 5.2915
[1. 5.19615242] | magnitude = 5.2915
[ 4. -3.46410162] | magnitude = 5.2915
[ 1. -5.19615242] | magnitude = 5.2915
[-5. 1.73205081] | magnitude = 5.2915
[-1. -5.19615242] | magnitude = 5.2915
[-4. -3.46410162] | magnitude = 5.2915
[ 5. -1.73205081] | magnitude = 5.2915
[-1. 5.19615242] | magnitude = 5.2915
[-4. 3.46410162] | magnitude = 5.2915
[-5. -1.73205081] | magnitude = 5.2915
[2. 5.19615242] | magnitude = 5.5678
[ 2. -5.19615242] | magnitude = 5.5678
[-2. -5.19615242] | magnitude = 5.5678
[-2. 5.19615242] | magnitude = 5.5678
[-3.5 4.33012702] | magnitude = 5.5678
[-5.5 0.8660254] | magnitude = 5.5678
[3.5 4.33012702] | magnitude = 5.5678
[-5.5 -0.8660254] | magnitude = 5.5678
[ 3.5 -4.33012702] | magnitude = 5.5678
[-3.5 -4.33012702] | magnitude = 5.5678
[ 5.5 -0.8660254] | magnitude = 5.5678
[5.5 0.8660254] | magnitude = 5.5678
[-3. 5.19615242] | magnitude = 6.0
[3. 5.19615242] | magnitude = 6.0
[6. 0.] | magnitude = 6.0
[-3. -5.19615242] | magnitude = 6.0
[-6. 0.] | magnitude = 6.0
[ 3. -5.19615242] | magnitude = 6.0
[ 5.5 -2.59807621] | magnitude = 6.0828
[-5.5 -2.59807621] | magnitude = 6.0828
[-5. -3.46410162] | magnitude = 6.0828
[5. 3.46410162] | magnitude = 6.0828
[-5.5 2.59807621] | magnitude = 6.0828
[ 0.5 -6.06217783] | magnitude = 6.0828
[5.5 2.59807621] | magnitude = 6.0828
[-0.5 -6.06217783] | magnitude = 6.0828
[ 5. -3.46410162] | magnitude = 6.0828
[-0.5 6.06217783] | magnitude = 6.0828
[-5. 3.46410162] | magnitude = 6.0828
[0.5 6.06217783] | magnitude = 6.0828
[-4.5 -4.33012702] | magnitude = 6.245
[ 1.5 -6.06217783] | magnitude = 6.245
[-1.5 -6.06217783] | magnitude = 6.245
[-6. -1.73205081] | magnitude = 6.245
[4.5 4.33012702] | magnitude = 6.245
[6. 1.73205081] | magnitude = 6.245
[1.5 6.06217783] | magnitude = 6.245
[ 6. -1.73205081] | magnitude = 6.245
[-4.5 4.33012702] | magnitude = 6.245
[-1.5 6.06217783] | magnitude = 6.245
[ 4.5 -4.33012702] | magnitude = 6.245
[-6. 1.73205081] | magnitude = 6.245
[ 4. -5.19615242] | magnitude = 6.5574
[-2.5 6.06217783] | magnitude = 6.5574
[2.5 6.06217783] | magnitude = 6.5574
[4. 5.19615242] | magnitude = 6.5574
[ 2.5 -6.06217783] | magnitude = 6.5574
[-2.5 -6.06217783] | magnitude = 6.5574
[-4. -5.19615242] | magnitude = 6.5574
[-4. 5.19615242] | magnitude = 6.5574
[-6.5 -0.8660254] | magnitude = 6.5574
[-6.5 0.8660254] | magnitude = 6.5574
[6.5 0.8660254] | magnitude = 6.5574
[ 6.5 -0.8660254] | magnitude = 6.5574
[ 6. -3.46410162] | magnitude = 6.9282
[-6. 3.46410162] | magnitude = 6.9282
[ 0. -6.92820323] | magnitude = 6.9282
[-6. -3.46410162] | magnitude = 6.9282
[6. 3.46410162] | magnitude = 6.9282
[0. 6.92820323] | magnitude = 6.9282
[-6.5 -2.59807621] | magnitude = 7.0
[-5.5 -4.33012702] | magnitude = 7.0
[-3.5 6.06217783] | magnitude = 7.0
[ 5.5 -4.33012702] | magnitude = 7.0
[-1. 6.92820323] | magnitude = 7.0
[ 6.5 -2.59807621] | magnitude = 7.0
[-6.5 2.59807621] | magnitude = 7.0
[ 1. -6.92820323] | magnitude = 7.0
[-5.5 4.33012702] | magnitude = 7.0
[ 3.5 -6.06217783] | magnitude = 7.0
[-3.5 -6.06217783] | magnitude = 7.0
[-7. 0.] | magnitude = 7.0
[-1. -6.92820323] | magnitude = 7.0
[5.5 4.33012702] | magnitude = 7.0
[1. 6.92820323] | magnitude = 7.0
[7. 0.] | magnitude = 7.0
[3.5 6.06217783] | magnitude = 7.0
[6.5 2.59807621] | magnitude = 7.0
[ 7. -1.73205081] | magnitude = 7.2111
[-2. 6.92820323] | magnitude = 7.2111
[ 5. -5.19615242] | magnitude = 7.2111
[-7. 1.73205081] | magnitude = 7.2111
[-2. -6.92820323] | magnitude = 7.2111
[-7. -1.73205081] | magnitude = 7.2111
[-5. 5.19615242] | magnitude = 7.2111
[ 2. -6.92820323] | magnitude = 7.2111
[-5. -5.19615242] | magnitude = 7.2111
[5. 5.19615242] | magnitude = 7.2111
[7. 1.73205081] | magnitude = 7.2111
[2. 6.92820323] | magnitude = 7.2111
[-4.5 -6.06217783] | magnitude = 7.5498
[3. 6.92820323] | magnitude = 7.5498
[7.5 0.8660254] | magnitude = 7.5498
[4.5 6.06217783] | magnitude = 7.5498
[-3. -6.92820323] | magnitude = 7.5498
[-7.5 -0.8660254] | magnitude = 7.5498
[ 3. -6.92820323] | magnitude = 7.5498
[-7.5 0.8660254] | magnitude = 7.5498
[ 4.5 -6.06217783] | magnitude = 7.5498
[-4.5 6.06217783] | magnitude = 7.5498
[ 7.5 -0.8660254] | magnitude = 7.5498
[-3. 6.92820323] | magnitude = 7.5498
[-0.5 7.79422863] | magnitude = 7.8102
[ 6.5 -4.33012702] | magnitude = 7.8102
[6.5 4.33012702] | magnitude = 7.8102
[-0.5 -7.79422863] | magnitude = 7.8102
[-6.5 4.33012702] | magnitude = 7.8102
[ 0.5 -7.79422863] | magnitude = 7.8102
[-6.5 -4.33012702] | magnitude = 7.8102
[0.5 7.79422863] | magnitude = 7.8102
[ 7. -3.46410162] | magnitude = 7.8102
[-7. 3.46410162] | magnitude = 7.8102
[7. 3.46410162] | magnitude = 7.8102
[-7. -3.46410162] | magnitude = 7.8102
[-6. -5.19615242] | magnitude = 7.9373
[-7.5 -2.59807621] | magnitude = 7.9373
[-1.5 -7.79422863] | magnitude = 7.9373
[-7.5 2.59807621] | magnitude = 7.9373
[ 1.5 -7.79422863] | magnitude = 7.9373
[-6. 5.19615242] | magnitude = 7.9373
[ 6. -5.19615242] | magnitude = 7.9373
[-1.5 7.79422863] | magnitude = 7.9373
[ 7.5 -2.59807621] | magnitude = 7.9373
[1.5 7.79422863] | magnitude = 7.9373
[7.5 2.59807621] | magnitude = 7.9373
[6. 5.19615242] | magnitude = 7.9373
[-4. -6.92820323] | magnitude = 8.0
[-8. 0.] | magnitude = 8.0
[-4. 6.92820323] | magnitude = 8.0
[ 4. -6.92820323] | magnitude = 8.0
[4. 6.92820323] | magnitude = 8.0
[8. 0.] | magnitude = 8.0
[-8. 1.73205081] | magnitude = 8.1854
[-2.5 -7.79422863] | magnitude = 8.1854
[-8. -1.73205081] | magnitude = 8.1854
[2.5 7.79422863] | magnitude = 8.1854
[5.5 6.06217783] | magnitude = 8.1854
[8. 1.73205081] | magnitude = 8.1854
[-5.5 6.06217783] | magnitude = 8.1854
[ 5.5 -6.06217783] | magnitude = 8.1854
[ 8. -1.73205081] | magnitude = 8.1854
[ 2.5 -7.79422863] | magnitude = 8.1854
[-5.5 -6.06217783] | magnitude = 8.1854
[-2.5 7.79422863] | magnitude = 8.1854
[-3.5 -7.79422863] | magnitude = 8.544
[ 5. -6.92820323] | magnitude = 8.544
[-5. -6.92820323] | magnitude = 8.544
[8.5 0.8660254] | magnitude = 8.544
[-5. 6.92820323] | magnitude = 8.544
[ 3.5 -7.79422863] | magnitude = 8.544
[-8.5 -0.8660254] | magnitude = 8.544
[3.5 7.79422863] | magnitude = 8.544
[5. 6.92820323] | magnitude = 8.544
[-8.5 0.8660254] | magnitude = 8.544
[-3.5 7.79422863] | magnitude = 8.544
[ 8.5 -0.8660254] | magnitude = 8.544
[-7.5 -4.33012702] | magnitude = 8.6603
[ 0. -8.66025404] | magnitude = 8.6603
[-7.5 4.33012702] | magnitude = 8.6603
[0. 8.66025404] | magnitude = 8.6603
[ 7.5 -4.33012702] | magnitude = 8.6603
[7.5 4.33012702] | magnitude = 8.6603
[-7. -5.19615242] | magnitude = 8.7178
[-8. -3.46410162] | magnitude = 8.7178
[ 8. -3.46410162] | magnitude = 8.7178
[-1. 8.66025404] | magnitude = 8.7178
[-7. 5.19615242] | magnitude = 8.7178
[ 7. -5.19615242] | magnitude = 8.7178
[7. 5.19615242] | magnitude = 8.7178
[ 1. -8.66025404] | magnitude = 8.7178
[8. 3.46410162] | magnitude = 8.7178
[1. 8.66025404] | magnitude = 8.7178
[-8. 3.46410162] | magnitude = 8.7178
[-1. -8.66025404] | magnitude = 8.7178
[6.5 6.06217783] | magnitude = 8.8882
[-6.5 -6.06217783] | magnitude = 8.8882
[-6.5 6.06217783] | magnitude = 8.8882
[ 6.5 -6.06217783] | magnitude = 8.8882
[-8.5 -2.59807621] | magnitude = 8.8882
[ 8.5 -2.59807621] | magnitude = 8.8882
[-2. -8.66025404] | magnitude = 8.8882
[-8.5 2.59807621] | magnitude = 8.8882
[8.5 2.59807621] | magnitude = 8.8882
[ 2. -8.66025404] | magnitude = 8.8882
[2. 8.66025404] | magnitude = 8.8882
[-2. 8.66025404] | magnitude = 8.8882
[-9. 0.] | magnitude = 9.0
[-4.5 -7.79422863] | magnitude = 9.0
[-4.5 7.79422863] | magnitude = 9.0
[4.5 7.79422863] | magnitude = 9.0
[9. 0.] | magnitude = 9.0
[ 4.5 -7.79422863] | magnitude = 9.0
[ 6. -6.92820323] | magnitude = 9.1652
[-6. 6.92820323] | magnitude = 9.1652
[-9. 1.73205081] | magnitude = 9.1652
[-9. -1.73205081] | magnitude = 9.1652
[6. 6.92820323] | magnitude = 9.1652
[-6. -6.92820323] | magnitude = 9.1652
[9. 1.73205081] | magnitude = 9.1652
[ 9. -1.73205081] | magnitude = 9.1652
[-3. 8.66025404] | magnitude = 9.1652
[3. 8.66025404] | magnitude = 9.1652
[ 3. -8.66025404] | magnitude = 9.1652
[-3. -8.66025404] | magnitude = 9.1652
[-8. -5.19615242] | magnitude = 9.5394
[ 8. -5.19615242] | magnitude = 9.5394
[-0.5 -9.52627944] | magnitude = 9.5394
[8. 5.19615242] | magnitude = 9.5394
[-8.5 -4.33012702] | magnitude = 9.5394
[-5.5 -7.79422863] | magnitude = 9.5394
[-9.5 -0.8660254] | magnitude = 9.5394
[-4. -8.66025404] | magnitude = 9.5394
[0.5 9.52627944] | magnitude = 9.5394
[ 8.5 -4.33012702] | magnitude = 9.5394
[-0.5 9.52627944] | magnitude = 9.5394
[-4. 8.66025404] | magnitude = 9.5394
[ 5.5 -7.79422863] | magnitude = 9.5394
[-5.5 7.79422863] | magnitude = 9.5394
[ 4. -8.66025404] | magnitude = 9.5394
[-8. 5.19615242] | magnitude = 9.5394
[ 0.5 -9.52627944] | magnitude = 9.5394
[-8.5 4.33012702] | magnitude = 9.5394
[8.5 4.33012702] | magnitude = 9.5394
[-9.5 0.8660254] | magnitude = 9.5394
[ 9.5 -0.8660254] | magnitude = 9.5394
[4. 8.66025404] | magnitude = 9.5394
[9.5 0.8660254] | magnitude = 9.5394
[5.5 7.79422863] | magnitude = 9.5394
[ 7.5 -6.06217783] | magnitude = 9.6437
[-7.5 6.06217783] | magnitude = 9.6437
[7.5 6.06217783] | magnitude = 9.6437
[-7.5 -6.06217783] | magnitude = 9.6437
[1.5 9.52627944] | magnitude = 9.6437
[9. 3.46410162] | magnitude = 9.6437
[-1.5 9.52627944] | magnitude = 9.6437
[ 9. -3.46410162] | magnitude = 9.6437
[ 1.5 -9.52627944] | magnitude = 9.6437
[-9. 3.46410162] | magnitude = 9.6437
[-1.5 -9.52627944] | magnitude = 9.6437
[-9. -3.46410162] | magnitude = 9.6437
[ 7. -6.92820323] | magnitude = 9.8489
[-2.5 9.52627944] | magnitude = 9.8489
[2.5 9.52627944] | magnitude = 9.8489
[ 9.5 -2.59807621] | magnitude = 9.8489
[-7. -6.92820323] | magnitude = 9.8489
[-9.5 -2.59807621] | magnitude = 9.8489
[7. 6.92820323] | magnitude = 9.8489
[9.5 2.59807621] | magnitude = 9.8489
[ 2.5 -9.52627944] | magnitude = 9.8489
[-7. 6.92820323] | magnitude = 9.8489
[-2.5 -9.52627944] | magnitude = 9.8489
[-9.5 2.59807621] | magnitude = 9.8489
[-10. 0.] | magnitude = 10.0
[-5. -8.66025404] | magnitude = 10.0
[-5. 8.66025404] | magnitude = 10.0
[ 5. -8.66025404] | magnitude = 10.0
[10. 0.] | magnitude = 10.0
[5. 8.66025404] | magnitude = 10.0
[10. -1.73205081] | magnitude = 10.1489
[3.5 9.52627944] | magnitude = 10.1489
[ 6.5 -7.79422863] | magnitude = 10.1489
[-3.5 9.52627944] | magnitude = 10.1489
[-6.5 -7.79422863] | magnitude = 10.1489
[-10. -1.73205081] | magnitude = 10.1489
[-3.5 -9.52627944] | magnitude = 10.1489
[-10. 1.73205081] | magnitude = 10.1489
[ 3.5 -9.52627944] | magnitude = 10.1489
[-6.5 7.79422863] | magnitude = 10.1489
[10. 1.73205081] | magnitude = 10.1489
[6.5 7.79422863] | magnitude = 10.1489
[ 0. -10.39230485] | magnitude = 10.3923
[ 0. 10.39230485] | magnitude = 10.3923
[-9. 5.19615242] | magnitude = 10.3923
[-9. -5.19615242] | magnitude = 10.3923
[ 9. -5.19615242] | magnitude = 10.3923
[9. 5.19615242] | magnitude = 10.3923
[ -1. -10.39230485] | magnitude = 10.4403
[-8.5 6.06217783] | magnitude = 10.4403
[8.5 6.06217783] | magnitude = 10.4403
[-1. 10.39230485] | magnitude = 10.4403
[ 8.5 -6.06217783] | magnitude = 10.4403
[ 1. -10.39230485] | magnitude = 10.4403
[ 1. 10.39230485] | magnitude = 10.4403
[-8.5 -6.06217783] | magnitude = 10.4403
[-9.5 4.33012702] | magnitude = 10.4403
[9.5 4.33012702] | magnitude = 10.4403
[ 9.5 -4.33012702] | magnitude = 10.4403
[-9.5 -4.33012702] | magnitude = 10.4403
[ 4.5 -9.52627944] | magnitude = 10.5357
[-4.5 -9.52627944] | magnitude = 10.5357
[4.5 9.52627944] | magnitude = 10.5357
[-4.5 9.52627944] | magnitude = 10.5357
[ 6. -8.66025404] | magnitude = 10.5357
[-6. 8.66025404] | magnitude = 10.5357
[-10.5 0.8660254] | magnitude = 10.5357
[10.5 -0.8660254] | magnitude = 10.5357
[6. 8.66025404] | magnitude = 10.5357
[10.5 0.8660254] | magnitude = 10.5357
[-6. -8.66025404] | magnitude = 10.5357
[-10.5 -0.8660254] | magnitude = 10.5357
[10. -3.46410162] | magnitude = 10.583
[ 2. 10.39230485] | magnitude = 10.583
[-8. 6.92820323] | magnitude = 10.583
[ 2. -10.39230485] | magnitude = 10.583
[-10. 3.46410162] | magnitude = 10.583
[ -2. -10.39230485] | magnitude = 10.583
[-10. -3.46410162] | magnitude = 10.583
[-8. -6.92820323] | magnitude = 10.583
[ 8. -6.92820323] | magnitude = 10.583
[-2. 10.39230485] | magnitude = 10.583
[10. 3.46410162] | magnitude = 10.583
[8. 6.92820323] | magnitude = 10.583
[ 7.5 -7.79422863] | magnitude = 10.8167
[ 3. -10.39230485] | magnitude = 10.8167
[7.5 7.79422863] | magnitude = 10.8167
[ 3. 10.39230485] | magnitude = 10.8167
[ -3. -10.39230485] | magnitude = 10.8167
[-7.5 -7.79422863] | magnitude = 10.8167
[-3. 10.39230485] | magnitude = 10.8167
[-7.5 7.79422863] | magnitude = 10.8167
[10.5 2.59807621] | magnitude = 10.8167
[-10.5 2.59807621] | magnitude = 10.8167
[10.5 -2.59807621] | magnitude = 10.8167
[-10.5 -2.59807621] | magnitude = 10.8167
[5.5 9.52627944] | magnitude = 11.0
[11. 0.] | magnitude = 11.0
[-5.5 9.52627944] | magnitude = 11.0
[ 5.5 -9.52627944] | magnitude = 11.0
[-11. 0.] | magnitude = 11.0
[-5.5 -9.52627944] | magnitude = 11.0
[ 4. 10.39230485] | magnitude = 11.1355
[ 4. -10.39230485] | magnitude = 11.1355
[-4. 10.39230485] | magnitude = 11.1355
[ -4. -10.39230485] | magnitude = 11.1355
[-11. 1.73205081] | magnitude = 11.1355
[ 7. -8.66025404] | magnitude = 11.1355
[-11. -1.73205081] | magnitude = 11.1355
[-7. -8.66025404] | magnitude = 11.1355
[11. -1.73205081] | magnitude = 11.1355
[-7. 8.66025404] | magnitude = 11.1355
[7. 8.66025404] | magnitude = 11.1355
[11. 1.73205081] | magnitude = 11.1355
[-10. 5.19615242] | magnitude = 11.2694
[ -0.5 -11.25833025] | magnitude = 11.2694
[-9.5 6.06217783] | magnitude = 11.2694
[ 0.5 -11.25833025] | magnitude = 11.2694
[-10. -5.19615242] | magnitude = 11.2694
[-9.5 -6.06217783] | magnitude = 11.2694
[ 0.5 11.25833025] | magnitude = 11.2694
[ 9.5 -6.06217783] | magnitude = 11.2694
[9.5 6.06217783] | magnitude = 11.2694
[10. -5.19615242] | magnitude = 11.2694
[-0.5 11.25833025] | magnitude = 11.2694
[10. 5.19615242] | magnitude = 11.2694
[10.5 -4.33012702] | magnitude = 11.3578
[ 1.5 11.25833025] | magnitude = 11.3578
[9. 6.92820323] | magnitude = 11.3578
[-9. 6.92820323] | magnitude = 11.3578
[ -1.5 -11.25833025] | magnitude = 11.3578
[-10.5 4.33012702] | magnitude = 11.3578
[ 9. -6.92820323] | magnitude = 11.3578
[-1.5 11.25833025] | magnitude = 11.3578
[10.5 4.33012702] | magnitude = 11.3578
[ 1.5 -11.25833025] | magnitude = 11.3578
[-9. -6.92820323] | magnitude = 11.3578
[-10.5 -4.33012702] | magnitude = 11.3578
[6.5 9.52627944] | magnitude = 11.5326
[11.5 0.8660254] | magnitude = 11.5326
[ 5. 10.39230485] | magnitude = 11.5326
[11.5 -0.8660254] | magnitude = 11.5326
[ 2.5 11.25833025] | magnitude = 11.5326
[-2.5 11.25833025] | magnitude = 11.5326
[ 8.5 -7.79422863] | magnitude = 11.5326
[8.5 7.79422863] | magnitude = 11.5326
[-11. -3.46410162] | magnitude = 11.5326
[-8.5 -7.79422863] | magnitude = 11.5326
[-5. 10.39230485] | magnitude = 11.5326
[ 6.5 -9.52627944] | magnitude = 11.5326
[-6.5 9.52627944] | magnitude = 11.5326
[ 5. -10.39230485] | magnitude = 11.5326
[-8.5 7.79422863] | magnitude = 11.5326
[ 2.5 -11.25833025] | magnitude = 11.5326
[-11. 3.46410162] | magnitude = 11.5326
[ -2.5 -11.25833025] | magnitude = 11.5326
[11. -3.46410162] | magnitude = 11.5326
[11. 3.46410162] | magnitude = 11.5326
[-6.5 -9.52627944] | magnitude = 11.5326
[-11.5 -0.8660254] | magnitude = 11.5326
[ -5. -10.39230485] | magnitude = 11.5326
[-11.5 0.8660254] | magnitude = 11.5326
[ -3.5 -11.25833025] | magnitude = 11.7898
[-11.5 2.59807621] | magnitude = 11.7898
[ 3.5 -11.25833025] | magnitude = 11.7898
[-3.5 11.25833025] | magnitude = 11.7898
[ 3.5 11.25833025] | magnitude = 11.7898
[11.5 -2.59807621] | magnitude = 11.7898
[-11.5 -2.59807621] | magnitude = 11.7898
[11.5 2.59807621] | magnitude = 11.7898
[ 8. -8.66025404] | magnitude = 11.7898
[-8. -8.66025404] | magnitude = 11.7898
[8. 8.66025404] | magnitude = 11.7898
[-8. 8.66025404] | magnitude = 11.7898
[ 6. -10.39230485] | magnitude = 12.0
[-6. 10.39230485] | magnitude = 12.0
[12. 0.] | magnitude = 12.0
[ 6. 10.39230485] | magnitude = 12.0
[-12. 0.] | magnitude = 12.0
[ -6. -10.39230485] | magnitude = 12.0
[-7.5 9.52627944] | magnitude = 12.1244
[ 7.5 -9.52627944] | magnitude = 12.1244
[ 0. 12.12435565] | magnitude = 12.1244
[12. -1.73205081] | magnitude = 12.1244
[ 4.5 11.25833025] | magnitude = 12.1244
[12. 1.73205081] | magnitude = 12.1244
[7.5 9.52627944] | magnitude = 12.1244
[10.5 6.06217783] | magnitude = 12.1244
[-4.5 11.25833025] | magnitude = 12.1244
[10.5 -6.06217783] | magnitude = 12.1244
[-12. 1.73205081] | magnitude = 12.1244
[ 0. -12.12435565] | magnitude = 12.1244
[-10.5 6.06217783] | magnitude = 12.1244
[ 4.5 -11.25833025] | magnitude = 12.1244
[-7.5 -9.52627944] | magnitude = 12.1244
[-10.5 -6.06217783] | magnitude = 12.1244
[ -4.5 -11.25833025] | magnitude = 12.1244
[-12. -1.73205081] | magnitude = 12.1244
[-11. -5.19615242] | magnitude = 12.1655
[-10. -6.92820323] | magnitude = 12.1655
[10. -6.92820323] | magnitude = 12.1655
[-1. 12.12435565] | magnitude = 12.1655
[10. 6.92820323] | magnitude = 12.1655
[11. 5.19615242] | magnitude = 12.1655
[11. -5.19615242] | magnitude = 12.1655
[ 1. 12.12435565] | magnitude = 12.1655
[-10. 6.92820323] | magnitude = 12.1655
[ 1. -12.12435565] | magnitude = 12.1655
[-11. 5.19615242] | magnitude = 12.1655
[ -1. -12.12435565] | magnitude = 12.1655
[11.5 -4.33012702] | magnitude = 12.2882
[ 2. 12.12435565] | magnitude = 12.2882
[11.5 4.33012702] | magnitude = 12.2882
[9.5 7.79422863] | magnitude = 12.2882
[ -2. -12.12435565] | magnitude = 12.2882
[-11.5 4.33012702] | magnitude = 12.2882
[ 2. -12.12435565] | magnitude = 12.2882
[-9.5 7.79422863] | magnitude = 12.2882
[ 9.5 -7.79422863] | magnitude = 12.2882
[-2. 12.12435565] | magnitude = 12.2882
[-11.5 -4.33012702] | magnitude = 12.2882
[-9.5 -7.79422863] | magnitude = 12.2882
[ 3. -12.12435565] | magnitude = 12.49
[-9. 8.66025404] | magnitude = 12.49
[ -3. -12.12435565] | magnitude = 12.49
[-12. 3.46410162] | magnitude = 12.49
[-3. 12.12435565] | magnitude = 12.49
[ 9. -8.66025404] | magnitude = 12.49
[-12. -3.46410162] | magnitude = 12.49
[-9. -8.66025404] | magnitude = 12.49
[12. -3.46410162] | magnitude = 12.49
[ 3. 12.12435565] | magnitude = 12.49
[12. 3.46410162] | magnitude = 12.49
[9. 8.66025404] | magnitude = 12.49
[ 7. 10.39230485] | magnitude = 12.53
[12.5 0.8660254] | magnitude = 12.53
[-7. 10.39230485] | magnitude = 12.53
[ 5.5 -11.25833025] | magnitude = 12.53
[ -7. -10.39230485] | magnitude = 12.53
[-12.5 -0.8660254] | magnitude = 12.53
[ -5.5 -11.25833025] | magnitude = 12.53
[-12.5 0.8660254] | magnitude = 12.53
[ 7. -10.39230485] | magnitude = 12.53
[-5.5 11.25833025] | magnitude = 12.53
[12.5 -0.8660254] | magnitude = 12.53
[ 5.5 11.25833025] | magnitude = 12.53
[ 8.5 -9.52627944] | magnitude = 12.7671
[-4. 12.12435565] | magnitude = 12.7671
[ 4. -12.12435565] | magnitude = 12.7671
[-8.5 9.52627944] | magnitude = 12.7671
[ 4. 12.12435565] | magnitude = 12.7671
[12.5 -2.59807621] | magnitude = 12.7671
[8.5 9.52627944] | magnitude = 12.7671
[12.5 2.59807621] | magnitude = 12.7671
[-12.5 2.59807621] | magnitude = 12.7671
[ -4. -12.12435565] | magnitude = 12.7671
[-8.5 -9.52627944] | magnitude = 12.7671
[-12.5 -2.59807621] | magnitude = 12.7671
[11. -6.92820323] | magnitude = 13.0
[-0.5 12.99038106] | magnitude = 13.0
[11.5 -6.06217783] | magnitude = 13.0
[ 0.5 12.99038106] | magnitude = 13.0
[-11. -6.92820323] | magnitude = 13.0
[-11.5 -6.06217783] | magnitude = 13.0
[11.5 6.06217783] | magnitude = 13.0
[11. 6.92820323] | magnitude = 13.0
[ 0.5 -12.99038106] | magnitude = 13.0
[-11. 6.92820323] | magnitude = 13.0
[ 6.5 -11.25833025] | magnitude = 13.0
[-6.5 11.25833025] | magnitude = 13.0
[-13. 0.] | magnitude = 13.0
[ -0.5 -12.99038106] | magnitude = 13.0
[ 6.5 11.25833025] | magnitude = 13.0
[13. 0.] | magnitude = 13.0
[ -6.5 -11.25833025] | magnitude = 13.0
[-11.5 6.06217783] | magnitude = 13.0
[-12. -5.19615242] | magnitude = 13.0767
[ -1.5 -12.99038106] | magnitude = 13.0767
[-12. 5.19615242] | magnitude = 13.0767
[ 1.5 -12.99038106] | magnitude = 13.0767
[12. 5.19615242] | magnitude = 13.0767
[-10.5 -7.79422863] | magnitude = 13.0767
[10.5 -7.79422863] | magnitude = 13.0767
[-1.5 12.99038106] | magnitude = 13.0767
[ 1.5 12.99038106] | magnitude = 13.0767
[12. -5.19615242] | magnitude = 13.0767
[-10.5 7.79422863] | magnitude = 13.0767
[10.5 7.79422863] | magnitude = 13.0767
[-5. 12.12435565] | magnitude = 13.1149
[ 8. -10.39230485] | magnitude = 13.1149
[ 5. 12.12435565] | magnitude = 13.1149
[ -8. -10.39230485] | magnitude = 13.1149
[ 8. 10.39230485] | magnitude = 13.1149
[ -5. -12.12435565] | magnitude = 13.1149
[ 5. -12.12435565] | magnitude = 13.1149
[-8. 10.39230485] | magnitude = 13.1149
[13. -1.73205081] | magnitude = 13.1149
[-13. -1.73205081] | magnitude = 13.1149
[13. 1.73205081] | magnitude = 13.1149
[-13. 1.73205081] | magnitude = 13.1149
[-10. -8.66025404] | magnitude = 13.2288
[-12.5 -4.33012702] | magnitude = 13.2288
[ -2.5 -12.99038106] | magnitude = 13.2288
[-12.5 4.33012702] | magnitude = 13.2288
[ 2.5 12.99038106] | magnitude = 13.2288
[12.5 -4.33012702] | magnitude = 13.2288
[-2.5 12.99038106] | magnitude = 13.2288
[10. -8.66025404] | magnitude = 13.2288
[-10. 8.66025404] | magnitude = 13.2288
[ 2.5 -12.99038106] | magnitude = 13.2288
[10. 8.66025404] | magnitude = 13.2288
[12.5 4.33012702] | magnitude = 13.2288
[ 9.5 -9.52627944] | magnitude = 13.4536
[13. -3.46410162] | magnitude = 13.4536
[9.5 9.52627944] | magnitude = 13.4536
[-9.5 9.52627944] | magnitude = 13.4536
[13. 3.46410162] | magnitude = 13.4536
[-13. 3.46410162] | magnitude = 13.4536
[-13. -3.46410162] | magnitude = 13.4536
[-9.5 -9.52627944] | magnitude = 13.4536
[ -3.5 -12.99038106] | magnitude = 13.4536
[ 3.5 12.99038106] | magnitude = 13.4536
[ 3.5 -12.99038106] | magnitude = 13.4536
[-3.5 12.99038106] | magnitude = 13.4536
[ 6. -12.12435565] | magnitude = 13.5277
[-13.5 -0.8660254] | magnitude = 13.5277
[ -6. -12.12435565] | magnitude = 13.5277
[13.5 0.8660254] | magnitude = 13.5277
[ 6. 12.12435565] | magnitude = 13.5277
[-6. 12.12435565] | magnitude = 13.5277
[13.5 -0.8660254] | magnitude = 13.5277
[-13.5 0.8660254] | magnitude = 13.5277
[-7.5 11.25833025] | magnitude = 13.5277
[ 7.5 11.25833025] | magnitude = 13.5277
[ -7.5 -11.25833025] | magnitude = 13.5277
[ 7.5 -11.25833025] | magnitude = 13.5277
[-13.5 -2.59807621] | magnitude = 13.7477
[13.5 -2.59807621] | magnitude = 13.7477
[13.5 2.59807621] | magnitude = 13.7477
[-13.5 2.59807621] | magnitude = 13.7477
[-4.5 12.99038106] | magnitude = 13.7477
[ 9. -10.39230485] | magnitude = 13.7477
[-9. 10.39230485] | magnitude = 13.7477
[ 4.5 -12.99038106] | magnitude = 13.7477
[ -4.5 -12.99038106] | magnitude = 13.7477
[ 9. 10.39230485] | magnitude = 13.7477
[ 4.5 12.99038106] | magnitude = 13.7477
[ -9. -10.39230485] | magnitude = 13.7477
[-12. 6.92820323] | magnitude = 13.8564
[ 0. 13.85640646] | magnitude = 13.8564
[-12. -6.92820323] | magnitude = 13.8564
[12. -6.92820323] | magnitude = 13.8564
[ 0. -13.85640646] | magnitude = 13.8564
[12. 6.92820323] | magnitude = 13.8564
[ 1. 13.85640646] | magnitude = 13.8924
[ 1. -13.85640646] | magnitude = 13.8924
[ -1. -13.85640646] | magnitude = 13.8924
[-1. 13.85640646] | magnitude = 13.8924
[11.5 -7.79422863] | magnitude = 13.8924
[-12.5 -6.06217783] | magnitude = 13.8924
[11.5 7.79422863] | magnitude = 13.8924
[12.5 6.06217783] | magnitude = 13.8924
[-11.5 -7.79422863] | magnitude = 13.8924
[-12.5 6.06217783] | magnitude = 13.8924
[12.5 -6.06217783] | magnitude = 13.8924
[-11.5 7.79422863] | magnitude = 13.8924
[ -7. -12.12435565] | magnitude = 14.0
[-14. 0.] | magnitude = 14.0
[13. 5.19615242] | magnitude = 14.0
[11. 8.66025404] | magnitude = 14.0
[14. 0.] | magnitude = 14.0
[ 7. 12.12435565] | magnitude = 14.0
[ 2. 13.85640646] | magnitude = 14.0
[13. -5.19615242] | magnitude = 14.0
[ 7. -12.12435565] | magnitude = 14.0
[-7. 12.12435565] | magnitude = 14.0
[-13. 5.19615242] | magnitude = 14.0
[ -2. -13.85640646] | magnitude = 14.0
[-11. 8.66025404] | magnitude = 14.0
[ 2. -13.85640646] | magnitude = 14.0
[-2. 13.85640646] | magnitude = 14.0
[11. -8.66025404] | magnitude = 14.0
[-13. -5.19615242] | magnitude = 14.0
[-11. -8.66025404] | magnitude = 14.0
[ -8.5 -11.25833025] | magnitude = 14.1067
[-14. 1.73205081] | magnitude = 14.1067
[ -5.5 -12.99038106] | magnitude = 14.1067
[-8.5 11.25833025] | magnitude = 14.1067
[ 5.5 -12.99038106] | magnitude = 14.1067
[-14. -1.73205081] | magnitude = 14.1067
[14. -1.73205081] | magnitude = 14.1067
[-5.5 12.99038106] | magnitude = 14.1067
[ 5.5 12.99038106] | magnitude = 14.1067
[ 8.5 -11.25833025] | magnitude = 14.1067
[ 8.5 11.25833025] | magnitude = 14.1067
[14. 1.73205081] | magnitude = 14.1067
[-10.5 9.52627944] | magnitude = 14.1774
[10.5 -9.52627944] | magnitude = 14.1774
[10.5 9.52627944] | magnitude = 14.1774
[-13.5 4.33012702] | magnitude = 14.1774
[-3. 13.85640646] | magnitude = 14.1774
[ -3. -13.85640646] | magnitude = 14.1774
[ 3. -13.85640646] | magnitude = 14.1774
[13.5 4.33012702] | magnitude = 14.1774
[-10.5 -9.52627944] | magnitude = 14.1774
[-13.5 -4.33012702] | magnitude = 14.1774
[13.5 -4.33012702] | magnitude = 14.1774
[ 3. 13.85640646] | magnitude = 14.1774
[-14. 3.46410162] | magnitude = 14.4222
[ -4. -13.85640646] | magnitude = 14.4222
[-14. -3.46410162] | magnitude = 14.4222
[-10. -10.39230485] | magnitude = 14.4222
[ 4. -13.85640646] | magnitude = 14.4222
[ 10. -10.39230485] | magnitude = 14.4222
[14. -3.46410162] | magnitude = 14.4222
[-4. 13.85640646] | magnitude = 14.4222
[ 4. 13.85640646] | magnitude = 14.4222
[14. 3.46410162] | magnitude = 14.4222
[-10. 10.39230485] | magnitude = 14.4222
[10. 10.39230485] | magnitude = 14.4222
[-14.5 0.8660254] | magnitude = 14.5258
[-8. 12.12435565] | magnitude = 14.5258
[ -8. -12.12435565] | magnitude = 14.5258
[-14.5 -0.8660254] | magnitude = 14.5258
[ 8. 12.12435565] | magnitude = 14.5258
[ 8. -12.12435565] | magnitude = 14.5258
[14.5 -0.8660254] | magnitude = 14.5258
[14.5 0.8660254] | magnitude = 14.5258
[ 6.5 -12.99038106] | magnitude = 14.5258
[ 6.5 12.99038106] | magnitude = 14.5258
[-6.5 12.99038106] | magnitude = 14.5258
[ -6.5 -12.99038106] | magnitude = 14.5258
[ 0.5 -14.72243186] | magnitude = 14.7309
[ 0.5 14.72243186] | magnitude = 14.7309
[-0.5 14.72243186] | magnitude = 14.7309
[ -0.5 -14.72243186] | magnitude = 14.7309
[ -9.5 -11.25833025] | magnitude = 14.7309
[-14.5 -2.59807621] | magnitude = 14.7309
[-12.5 -7.79422863] | magnitude = 14.7309
[13. 6.92820323] | magnitude = 14.7309
[12.5 -7.79422863] | magnitude = 14.7309
[-5. 13.85640646] | magnitude = 14.7309
[ 9.5 -11.25833025] | magnitude = 14.7309
[12.5 7.79422863] | magnitude = 14.7309
[ 5. 13.85640646] | magnitude = 14.7309
[-13. 6.92820323] | magnitude = 14.7309
[ 5. -13.85640646] | magnitude = 14.7309
[-9.5 11.25833025] | magnitude = 14.7309
[-12.5 7.79422863] | magnitude = 14.7309
[ 9.5 11.25833025] | magnitude = 14.7309
[ -5. -13.85640646] | magnitude = 14.7309
[-14.5 2.59807621] | magnitude = 14.7309
[13. -6.92820323] | magnitude = 14.7309
[14.5 -2.59807621] | magnitude = 14.7309
[14.5 2.59807621] | magnitude = 14.7309
[-13. -6.92820323] | magnitude = 14.7309
[ 1.5 -14.72243186] | magnitude = 14.7986
[-13.5 -6.06217783] | magnitude = 14.7986
[ -1.5 -14.72243186] | magnitude = 14.7986
[-13.5 6.06217783] | magnitude = 14.7986
[ 1.5 14.72243186] | magnitude = 14.7986
[13.5 -6.06217783] | magnitude = 14.7986
[-1.5 14.72243186] | magnitude = 14.7986
[13.5 6.06217783] | magnitude = 14.7986
[-12. 8.66025404] | magnitude = 14.7986
[-12. -8.66025404] | magnitude = 14.7986
[12. 8.66025404] | magnitude = 14.7986
[12. -8.66025404] | magnitude = 14.7986
[-11.5 -9.52627944] | magnitude = 14.9332
[ 2.5 -14.72243186] | magnitude = 14.9332
[ 2.5 14.72243186] | magnitude = 14.9332
[-2.5 14.72243186] | magnitude = 14.9332
[ -2.5 -14.72243186] | magnitude = 14.9332
[11.5 -9.52627944] | magnitude = 14.9332
[-11.5 9.52627944] | magnitude = 14.9332
[11.5 9.52627944] | magnitude = 14.9332
[14. 5.19615242] | magnitude = 14.9332
[-14. -5.19615242] | magnitude = 14.9332
[14. -5.19615242] | magnitude = 14.9332
[-14. 5.19615242] | magnitude = 14.9332
[ 7.5 12.99038106] | magnitude = 15.0
[15. 0.] | magnitude = 15.0
[-7.5 12.99038106] | magnitude = 15.0
[ 7.5 -12.99038106] | magnitude = 15.0
[-15. 0.] | magnitude = 15.0
[ -7.5 -12.99038106] | magnitude = 15.0
[-6. 13.85640646] | magnitude = 15.0997
[15. -1.73205081] | magnitude = 15.0997
[ 6. 13.85640646] | magnitude = 15.0997
[ -6. -13.85640646] | magnitude = 15.0997
[-15. 1.73205081] | magnitude = 15.0997
[ 6. -13.85640646] | magnitude = 15.0997
[ 9. 12.12435565] | magnitude = 15.0997
[15. 1.73205081] | magnitude = 15.0997
[ 9. -12.12435565] | magnitude = 15.0997
[-15. -1.73205081] | magnitude = 15.0997
[ -9. -12.12435565] | magnitude = 15.0997
[-9. 12.12435565] | magnitude = 15.0997
[ 3.5 14.72243186] | magnitude = 15.1327
[-11. -10.39230485] | magnitude = 15.1327
[ 11. -10.39230485] | magnitude = 15.1327
[-3.5 14.72243186] | magnitude = 15.1327
[-11. 10.39230485] | magnitude = 15.1327
[ 3.5 -14.72243186] | magnitude = 15.1327
[11. 10.39230485] | magnitude = 15.1327
[ -3.5 -14.72243186] | magnitude = 15.1327
[14.5 4.33012702] | magnitude = 15.1327
[14.5 -4.33012702] | magnitude = 15.1327
[-14.5 4.33012702] | magnitude = 15.1327
[-14.5 -4.33012702] | magnitude = 15.1327
[-4.5 14.72243186] | magnitude = 15.3948
[ 4.5 -14.72243186] | magnitude = 15.3948
[-15. -3.46410162] | magnitude = 15.3948
[15. 3.46410162] | magnitude = 15.3948
[ 4.5 14.72243186] | magnitude = 15.3948
[15. -3.46410162] | magnitude = 15.3948
[-15. 3.46410162] | magnitude = 15.3948
[ -4.5 -14.72243186] | magnitude = 15.3948
[-10.5 -11.25833025] | magnitude = 15.3948
[-10.5 11.25833025] | magnitude = 15.3948
[ 10.5 -11.25833025] | magnitude = 15.3948
[10.5 11.25833025] | magnitude = 15.3948
[-7. 13.85640646] | magnitude = 15.5242
[ 7. 13.85640646] | magnitude = 15.5242
[15.5 0.8660254] | magnitude = 15.5242
[-15.5 -0.8660254] | magnitude = 15.5242
[15.5 -0.8660254] | magnitude = 15.5242
[ -7. -13.85640646] | magnitude = 15.5242
[ 7. -13.85640646] | magnitude = 15.5242
[-15.5 0.8660254] | magnitude = 15.5242
[-8.5 12.99038106] | magnitude = 15.5242
[ -8.5 -12.99038106] | magnitude = 15.5242
[ 8.5 12.99038106] | magnitude = 15.5242
[ 8.5 -12.99038106] | magnitude = 15.5242
[13.5 7.79422863] | magnitude = 15.5885
[-13.5 7.79422863] | magnitude = 15.5885
[ 0. -15.58845727] | magnitude = 15.5885
[ 0. 15.58845727] | magnitude = 15.5885
[-13.5 -7.79422863] | magnitude = 15.5885
[13.5 -7.79422863] | magnitude = 15.5885
[ -1. -15.58845727] | magnitude = 15.6205
[13. -8.66025404] | magnitude = 15.6205
[ 1. -15.58845727] | magnitude = 15.6205
[13. 8.66025404] | magnitude = 15.6205
[-13. 8.66025404] | magnitude = 15.6205
[-13. -8.66025404] | magnitude = 15.6205
[ 1. 15.58845727] | magnitude = 15.6205
[-1. 15.58845727] | magnitude = 15.6205
[14. -6.92820323] | magnitude = 15.6205
[14. 6.92820323] | magnitude = 15.6205
[-14. -6.92820323] | magnitude = 15.6205
[-14. 6.92820323] | magnitude = 15.6205
[ 5.5 -14.72243186] | magnitude = 15.7162
[ -5.5 -14.72243186] | magnitude = 15.7162
[-5.5 14.72243186] | magnitude = 15.7162
[ 5.5 14.72243186] | magnitude = 15.7162
[10. 12.12435565] | magnitude = 15.7162
[15.5 2.59807621] | magnitude = 15.7162
[ -2. -15.58845727] | magnitude = 15.7162
[ 2. 15.58845727] | magnitude = 15.7162
[-10. -12.12435565] | magnitude = 15.7162
[ 2. -15.58845727] | magnitude = 15.7162
[ 10. -12.12435565] | magnitude = 15.7162
[-10. 12.12435565] | magnitude = 15.7162
[15.5 -2.59807621] | magnitude = 15.7162
[-2. 15.58845727] | magnitude = 15.7162
[-15.5 -2.59807621] | magnitude = 15.7162
[-15.5 2.59807621] | magnitude = 15.7162
[14.5 6.06217783] | magnitude = 15.7162
[12.5 9.52627944] | magnitude = 15.7162
[-14.5 6.06217783] | magnitude = 15.7162
[-12.5 9.52627944] | magnitude = 15.7162
[-12.5 -9.52627944] | magnitude = 15.7162
[-14.5 -6.06217783] | magnitude = 15.7162
[12.5 -9.52627944] | magnitude = 15.7162
[14.5 -6.06217783] | magnitude = 15.7162
[12. 10.39230485] | magnitude = 15.8745
[-15. 5.19615242] | magnitude = 15.8745
[ 3. -15.58845727] | magnitude = 15.8745
[-12. 10.39230485] | magnitude = 15.8745
[ -3. -15.58845727] | magnitude = 15.8745
[15. 5.19615242] | magnitude = 15.8745
[ 12. -10.39230485] | magnitude = 15.8745
[-3. 15.58845727] | magnitude = 15.8745
[15. -5.19615242] | magnitude = 15.8745
[ 3. 15.58845727] | magnitude = 15.8745
[-12. -10.39230485] | magnitude = 15.8745
[-15. -5.19615242] | magnitude = 15.8745
[16. 0.] | magnitude = 16.0
[ 8. 13.85640646] | magnitude = 16.0
[-8. 13.85640646] | magnitude = 16.0
[ -8. -13.85640646] | magnitude = 16.0
[ 8. -13.85640646] | magnitude = 16.0
[-16. 0.] | magnitude = 16.0
[-6.5 14.72243186] | magnitude = 16.0935
[ 6.5 -14.72243186] | magnitude = 16.0935
[ -6.5 -14.72243186] | magnitude = 16.0935
[ 6.5 14.72243186] | magnitude = 16.0935
[ -9.5 -12.99038106] | magnitude = 16.0935
[ 4. 15.58845727] | magnitude = 16.0935
[ 9.5 -12.99038106] | magnitude = 16.0935
[-16. -1.73205081] | magnitude = 16.0935
[ -4. -15.58845727] | magnitude = 16.0935
[-15.5 4.33012702] | magnitude = 16.0935
[-11.5 11.25833025] | magnitude = 16.0935
[ 4. -15.58845727] | magnitude = 16.0935
[-11.5 -11.25833025] | magnitude = 16.0935
[-15.5 -4.33012702] | magnitude = 16.0935
[16. -1.73205081] | magnitude = 16.0935
[-9.5 12.99038106] | magnitude = 16.0935
[ 9.5 12.99038106] | magnitude = 16.0935
[16. 1.73205081] | magnitude = 16.0935
[11.5 11.25833025] | magnitude = 16.0935
[ 11.5 -11.25833025] | magnitude = 16.0935
[-4. 15.58845727] | magnitude = 16.0935
[15.5 4.33012702] | magnitude = 16.0935
[15.5 -4.33012702] | magnitude = 16.0935
[-16. 1.73205081] | magnitude = 16.0935
[ 5. 15.58845727] | magnitude = 16.3707
[11. 12.12435565] | magnitude = 16.3707
[-5. 15.58845727] | magnitude = 16.3707
[ 11. -12.12435565] | magnitude = 16.3707
[ -5. -15.58845727] | magnitude = 16.3707
[-16. 3.46410162] | magnitude = 16.3707
[-11. -12.12435565] | magnitude = 16.3707
[16. -3.46410162] | magnitude = 16.3707
[16. 3.46410162] | magnitude = 16.3707
[-16. -3.46410162] | magnitude = 16.3707
[-11. 12.12435565] | magnitude = 16.3707
[ 5. -15.58845727] | magnitude = 16.3707
[ -0.5 -16.45448267] | magnitude = 16.4621
[-14.5 7.79422863] | magnitude = 16.4621
[-14.5 -7.79422863] | magnitude = 16.4621
[14.5 7.79422863] | magnitude = 16.4621
[ 0.5 16.45448267] | magnitude = 16.4621
[14.5 -7.79422863] | magnitude = 16.4621
[-0.5 16.45448267] | magnitude = 16.4621
[ 0.5 -16.45448267] | magnitude = 16.4621
[14. 8.66025404] | magnitude = 16.4621
[14. -8.66025404] | magnitude = 16.4621
[-14. 8.66025404] | magnitude = 16.4621
[-14. -8.66025404] | magnitude = 16.4621
[-13.5 9.52627944] | magnitude = 16.5227
[ -7.5 -14.72243186] | magnitude = 16.5227
[ 7.5 14.72243186] | magnitude = 16.5227
[ 7.5 -14.72243186] | magnitude = 16.5227
[13.5 9.52627944] | magnitude = 16.5227
[-13.5 -9.52627944] | magnitude = 16.5227
[13.5 -9.52627944] | magnitude = 16.5227
[-7.5 14.72243186] | magnitude = 16.5227
[-1.5 16.45448267] | magnitude = 16.5227
[ 1.5 16.45448267] | magnitude = 16.5227
[ 9. 13.85640646] | magnitude = 16.5227
[15. 6.92820323] | magnitude = 16.5227
[15. -6.92820323] | magnitude = 16.5227
[-15. -6.92820323] | magnitude = 16.5227
[ 9. -13.85640646] | magnitude = 16.5227
[ 1.5 -16.45448267] | magnitude = 16.5227
[-16.5 -0.8660254] | magnitude = 16.5227
[-9. 13.85640646] | magnitude = 16.5227
[16.5 0.8660254] | magnitude = 16.5227
[-16.5 0.8660254] | magnitude = 16.5227
[ -1.5 -16.45448267] | magnitude = 16.5227
[-15. 6.92820323] | magnitude = 16.5227
[ -9. -13.85640646] | magnitude = 16.5227
[16.5 -0.8660254] | magnitude = 16.5227
[ 2.5 -16.45448267] | magnitude = 16.6433
[-13. 10.39230485] | magnitude = 16.6433
[ -2.5 -16.45448267] | magnitude = 16.6433
[-15.5 6.06217783] | magnitude = 16.6433
[ 2.5 16.45448267] | magnitude = 16.6433
[15.5 -6.06217783] | magnitude = 16.6433
[-2.5 16.45448267] | magnitude = 16.6433
[ 13. -10.39230485] | magnitude = 16.6433
[-15.5 -6.06217783] | magnitude = 16.6433
[-13. -10.39230485] | magnitude = 16.6433
[13. 10.39230485] | magnitude = 16.6433
[15.5 6.06217783] | magnitude = 16.6433
[-10.5 -12.99038106] | magnitude = 16.7033
[-16.5 -2.59807621] | magnitude = 16.7033
[ -6. -15.58845727] | magnitude = 16.7033
[-16.5 2.59807621] | magnitude = 16.7033
[-10.5 12.99038106] | magnitude = 16.7033
[ 6. -15.58845727] | magnitude = 16.7033
[-6. 15.58845727] | magnitude = 16.7033
[ 10.5 -12.99038106] | magnitude = 16.7033
[16.5 -2.59807621] | magnitude = 16.7033
[ 6. 15.58845727] | magnitude = 16.7033
[16.5 2.59807621] | magnitude = 16.7033
[10.5 12.99038106] | magnitude = 16.7033
[12.5 11.25833025] | magnitude = 16.8226
[16. 5.19615242] | magnitude = 16.8226
[-16. -5.19615242] | magnitude = 16.8226
[-12.5 -11.25833025] | magnitude = 16.8226
[ 3.5 16.45448267] | magnitude = 16.8226
[16. -5.19615242] | magnitude = 16.8226
[-3.5 16.45448267] | magnitude = 16.8226
[ 12.5 -11.25833025] | magnitude = 16.8226
[-12.5 11.25833025] | magnitude = 16.8226
[ 3.5 -16.45448267] | magnitude = 16.8226
[-16. 5.19615242] | magnitude = 16.8226
[ -3.5 -16.45448267] | magnitude = 16.8226
[-8.5 14.72243186] | magnitude = 17.0
[ 8.5 -14.72243186] | magnitude = 17.0
[ 8.5 14.72243186] | magnitude = 17.0
[ -8.5 -14.72243186] | magnitude = 17.0
[17. 0.] | magnitude = 17.0
[-17. 0.] | magnitude = 17.0
[ -4.5 -16.45448267] | magnitude = 17.0587
[-16.5 4.33012702] | magnitude = 17.0587
[ 12. -12.12435565] | magnitude = 17.0587
[-4.5 16.45448267] | magnitude = 17.0587
[-16.5 -4.33012702] | magnitude = 17.0587
[-12. -12.12435565] | magnitude = 17.0587
[ 4.5 -16.45448267] | magnitude = 17.0587
[-12. 12.12435565] | magnitude = 17.0587
[16.5 -4.33012702] | magnitude = 17.0587
[ 4.5 16.45448267] | magnitude = 17.0587
[16.5 4.33012702] | magnitude = 17.0587
[12. 12.12435565] | magnitude = 17.0587
[ -7. -15.58845727] | magnitude = 17.088
[-17. 1.73205081] | magnitude = 17.088
[ 10. -13.85640646] | magnitude = 17.088
[-7. 15.58845727] | magnitude = 17.088
[17. -1.73205081] | magnitude = 17.088
[ 7. 15.58845727] | magnitude = 17.088
[17. 1.73205081] | magnitude = 17.088
[10. 13.85640646] | magnitude = 17.088
[ 7. -15.58845727] | magnitude = 17.088
[-10. 13.85640646] | magnitude = 17.088
[-10. -13.85640646] | magnitude = 17.088
[-17. -1.73205081] | magnitude = 17.088
[ 0. -17.32050808] | magnitude = 17.3205
[-15. -8.66025404] | magnitude = 17.3205
[15. -8.66025404] | magnitude = 17.3205
[-15. 8.66025404] | magnitude = 17.3205
[15. 8.66025404] | magnitude = 17.3205
[ 0. 17.32050808] | magnitude = 17.3205
[17. 3.46410162] | magnitude = 17.3494
[11.5 12.99038106] | magnitude = 17.3494
[15.5 7.79422863] | magnitude = 17.3494
[14.5 9.52627944] | magnitude = 17.3494
[ -1. -17.32050808] | magnitude = 17.3494
[-15.5 7.79422863] | magnitude = 17.3494
[ 1. -17.32050808] | magnitude = 17.3494
[-14.5 9.52627944] | magnitude = 17.3494
[-14.5 -9.52627944] | magnitude = 17.3494
[-15.5 -7.79422863] | magnitude = 17.3494
[17. -3.46410162] | magnitude = 17.3494
[ 5.5 16.45448267] | magnitude = 17.3494
[ 1. 17.32050808] | magnitude = 17.3494
[15.5 -7.79422863] | magnitude = 17.3494
[-1. 17.32050808] | magnitude = 17.3494
[14.5 -9.52627944] | magnitude = 17.3494
[-5.5 16.45448267] | magnitude = 17.3494
[ 5.5 -16.45448267] | magnitude = 17.3494
[-11.5 12.99038106] | magnitude = 17.3494
[ 11.5 -12.99038106] | magnitude = 17.3494
[-17. -3.46410162] | magnitude = 17.3494
[-11.5 -12.99038106] | magnitude = 17.3494
[ -5.5 -16.45448267] | magnitude = 17.3494
[-17. 3.46410162] | magnitude = 17.3494
[14. 10.39230485] | magnitude = 17.4356
[16. 6.92820323] | magnitude = 17.4356
[16. -6.92820323] | magnitude = 17.4356
[-16. 6.92820323] | magnitude = 17.4356
[-14. -10.39230485] | magnitude = 17.4356
[-16. -6.92820323] | magnitude = 17.4356
[ -2. -17.32050808] | magnitude = 17.4356
[ 2. 17.32050808] | magnitude = 17.4356
[-2. 17.32050808] | magnitude = 17.4356
[ 14. -10.39230485] | magnitude = 17.4356
[-14. 10.39230485] | magnitude = 17.4356
[ 2. -17.32050808] | magnitude = 17.4356
[-9.5 14.72243186] | magnitude = 17.5214
[ 9.5 -14.72243186] | magnitude = 17.5214
[17.5 -0.8660254] | magnitude = 17.5214
[17.5 0.8660254] | magnitude = 17.5214
[ 9.5 14.72243186] | magnitude = 17.5214
[-17.5 -0.8660254] | magnitude = 17.5214
[-17.5 0.8660254] | magnitude = 17.5214
[ -9.5 -14.72243186] | magnitude = 17.5214
[ -8. -15.58845727] | magnitude = 17.5214
[-8. 15.58845727] | magnitude = 17.5214
[ 8. -15.58845727] | magnitude = 17.5214
[ 8. 15.58845727] | magnitude = 17.5214
[ 3. 17.32050808] | magnitude = 17.5784
[-13.5 -11.25833025] | magnitude = 17.5784
[-16.5 -6.06217783] | magnitude = 17.5784
[16.5 -6.06217783] | magnitude = 17.5784
[-16.5 6.06217783] | magnitude = 17.5784
[-3. 17.32050808] | magnitude = 17.5784
[-13.5 11.25833025] | magnitude = 17.5784
[ 13.5 -11.25833025] | magnitude = 17.5784
[ 3. -17.32050808] | magnitude = 17.5784
[16.5 6.06217783] | magnitude = 17.5784
[13.5 11.25833025] | magnitude = 17.5784
[ -3. -17.32050808] | magnitude = 17.5784
[-17.5 2.59807621] | magnitude = 17.6918
[-17.5 -2.59807621] | magnitude = 17.6918
[17.5 -2.59807621] | magnitude = 17.6918
[17.5 2.59807621] | magnitude = 17.6918
[-11. 13.85640646] | magnitude = 17.6918
[ 6.5 -16.45448267] | magnitude = 17.6918
[ -6.5 -16.45448267] | magnitude = 17.6918
[-11. -13.85640646] | magnitude = 17.6918
[11. 13.85640646] | magnitude = 17.6918
[ 6.5 16.45448267] | magnitude = 17.6918
[ 11. -13.85640646] | magnitude = 17.6918
[-6.5 16.45448267] | magnitude = 17.6918
[-13. -12.12435565] | magnitude = 17.7764
[ 13. -12.12435565] | magnitude = 17.7764
[-13. 12.12435565] | magnitude = 17.7764
[13. 12.12435565] | magnitude = 17.7764
[-17. -5.19615242] | magnitude = 17.7764
[17. 5.19615242] | magnitude = 17.7764
[ 4. 17.32050808] | magnitude = 17.7764
[ -4. -17.32050808] | magnitude = 17.7764
[ 4. -17.32050808] | magnitude = 17.7764
[-17. 5.19615242] | magnitude = 17.7764
[-4. 17.32050808] | magnitude = 17.7764
[17. -5.19615242] | magnitude = 17.7764
[ 9. -15.58845727] | magnitude = 18.0
[-18. 0.] | magnitude = 18.0
[-9. 15.58845727] | magnitude = 18.0
[ -9. -15.58845727] | magnitude = 18.0
[18. 0.] | magnitude = 18.0
[ 9. 15.58845727] | magnitude = 18.0
[ 5. -17.32050808] | magnitude = 18.0278
[-12.5 12.99038106] | magnitude = 18.0278
[-17.5 4.33012702] | magnitude = 18.0278
[-12.5 -12.99038106] | magnitude = 18.0278
[ -5. -17.32050808] | magnitude = 18.0278
[-17.5 -4.33012702] | magnitude = 18.0278
[17.5 4.33012702] | magnitude = 18.0278
[ 5. 17.32050808] | magnitude = 18.0278
[17.5 -4.33012702] | magnitude = 18.0278
[-5. 17.32050808] | magnitude = 18.0278
[12.5 12.99038106] | magnitude = 18.0278
[ 12.5 -12.99038106] | magnitude = 18.0278
[10.5 14.72243186] | magnitude = 18.0831
[-10.5 -14.72243186] | magnitude = 18.0831
[ 10.5 -14.72243186] | magnitude = 18.0831
[-10.5 14.72243186] | magnitude = 18.0831
[18. 1.73205081] | magnitude = 18.0831
[18. -1.73205081] | magnitude = 18.0831
[-7.5 16.45448267] | magnitude = 18.0831
[ -7.5 -16.45448267] | magnitude = 18.0831
[ 7.5 -16.45448267] | magnitude = 18.0831
[-18. -1.73205081] | magnitude = 18.0831
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[ 0.5 -18.18653348] | magnitude = 18.1934
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[ 0.5 18.18653348] | magnitude = 18.1934
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[ -0.5 -18.18653348] | magnitude = 18.1934
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[15.5 -9.52627944] | magnitude = 18.1934
[-15.5 9.52627944] | magnitude = 18.1934
[16. -8.66025404] | magnitude = 18.1934
[16. 8.66025404] | magnitude = 18.1934
[-16. -8.66025404] | magnitude = 18.1934
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[-15. 10.39230485] | magnitude = 18.2483
[ 15. -10.39230485] | magnitude = 18.2483
[-15. -10.39230485] | magnitude = 18.2483
[15. 10.39230485] | magnitude = 18.2483
[ -1.5 -18.18653348] | magnitude = 18.2483
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[ 1.5 -18.18653348] | magnitude = 18.2483
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[ 1.5 18.18653348] | magnitude = 18.2483
[16.5 7.79422863] | magnitude = 18.2483
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[18. -3.46410162] | magnitude = 18.3303
[-18. 3.46410162] | magnitude = 18.3303
[ 12. -13.85640646] | magnitude = 18.3303
[12. 13.85640646] | magnitude = 18.3303
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[ 6. -17.32050808] | magnitude = 18.3303
[ 6. 17.32050808] | magnitude = 18.3303
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[-2.5 18.18653348] | magnitude = 18.3576
[ 2.5 18.18653348] | magnitude = 18.3576
[ -2.5 -18.18653348] | magnitude = 18.3576
[ 2.5 -18.18653348] | magnitude = 18.3576
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[ 14.5 -11.25833025] | magnitude = 18.3576
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[-17. -6.92820323] | magnitude = 18.3576
[-14.5 -11.25833025] | magnitude = 18.3576
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[-17.5 -6.06217783] | magnitude = 18.5203
[-17.5 6.06217783] | magnitude = 18.5203
[17.5 -6.06217783] | magnitude = 18.5203
[-14. 12.12435565] | magnitude = 18.5203
[ 3.5 -18.18653348] | magnitude = 18.5203
[14. 12.12435565] | magnitude = 18.5203
[ 3.5 18.18653348] | magnitude = 18.5203
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[ -3.5 -18.18653348] | magnitude = 18.5203
[ 10. -15.58845727] | magnitude = 18.5203
[18.5 -0.8660254] | magnitude = 18.5203
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[-10. -15.58845727] | magnitude = 18.5203
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[-3.5 18.18653348] | magnitude = 18.5203
[ 14. -12.12435565] | magnitude = 18.5203
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[ 8.5 16.45448267] | magnitude = 18.5203
[10. 15.58845727] | magnitude = 18.5203
[18.5 0.8660254] | magnitude = 18.5203
[-10. 15.58845727] | magnitude = 18.5203
[ 8.5 -16.45448267] | magnitude = 18.5203
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[ 11.5 -14.72243186] | magnitude = 18.6815
[-11.5 14.72243186] | magnitude = 18.6815
[-11.5 -14.72243186] | magnitude = 18.6815
[ 7. -17.32050808] | magnitude = 18.6815
[-18.5 -2.59807621] | magnitude = 18.6815
[ -7. -17.32050808] | magnitude = 18.6815
[-18.5 2.59807621] | magnitude = 18.6815
[-7. 17.32050808] | magnitude = 18.6815
[18.5 2.59807621] | magnitude = 18.6815
[18.5 -2.59807621] | magnitude = 18.6815
[ 7. 17.32050808] | magnitude = 18.6815
[-18. 5.19615242] | magnitude = 18.735
[ 4.5 -18.18653348] | magnitude = 18.735
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[-13.5 -12.99038106] | magnitude = 18.735
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[18. -5.19615242] | magnitude = 18.735
[ 4.5 18.18653348] | magnitude = 18.735
[ 13.5 -12.99038106] | magnitude = 18.735
[18. 5.19615242] | magnitude = 18.735
[13.5 12.99038106] | magnitude = 18.735
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[ -4.5 -18.18653348] | magnitude = 18.735
[ -5.5 -18.18653348] | magnitude = 19.0
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[ 9.5 -16.45448267] | magnitude = 19.0
[19. 0.] | magnitude = 19.0
[ -9.5 -16.45448267] | magnitude = 19.0
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[18.5 4.33012702] | magnitude = 19.0
[-13. -13.85640646] | magnitude = 19.0
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[-13. 13.85640646] | magnitude = 19.0
[ 5.5 -18.18653348] | magnitude = 19.0
[13. 13.85640646] | magnitude = 19.0
[ 5.5 18.18653348] | magnitude = 19.0
[-18.5 -4.33012702] | magnitude = 19.0
[18.5 -4.33012702] | magnitude = 19.0
[-5.5 18.18653348] | magnitude = 19.0
[ 13. -13.85640646] | magnitude = 19.0
[ 0. -19.05255888] | magnitude = 19.0526
[-16.5 -9.52627944] | magnitude = 19.0526
[-16.5 9.52627944] | magnitude = 19.0526
[16.5 -9.52627944] | magnitude = 19.0526
[ 0. 19.05255888] | magnitude = 19.0526
[16.5 9.52627944] | magnitude = 19.0526
[ 8. -17.32050808] | magnitude = 19.0788
[-11. 15.58845727] | magnitude = 19.0788
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[ -1. -19.05255888] | magnitude = 19.0788
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[ 1. -19.05255888] | magnitude = 19.0788
[-16. 10.39230485] | magnitude = 19.0788
[17. -8.66025404] | magnitude = 19.0788
[ 1. 19.05255888] | magnitude = 19.0788
[19. -1.73205081] | magnitude = 19.0788
[ 8. 17.32050808] | magnitude = 19.0788
[11. 15.58845727] | magnitude = 19.0788
[16. 10.39230485] | magnitude = 19.0788
[-16. -10.39230485] | magnitude = 19.0788
[-17. -8.66025404] | magnitude = 19.0788
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[-19. -1.73205081] | magnitude = 19.0788
[ 11. -15.58845727] | magnitude = 19.0788
[-8. 17.32050808] | magnitude = 19.0788
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[-19. 1.73205081] | magnitude = 19.0788
[ 16. -10.39230485] | magnitude = 19.0788
[-1. 19.05255888] | magnitude = 19.0788
[17. 8.66025404] | magnitude = 19.0788
[-15.5 11.25833025] | magnitude = 19.1572
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[-2. 19.05255888] | magnitude = 19.1572
[ 15.5 -11.25833025] | magnitude = 19.1572
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[ 2. -19.05255888] | magnitude = 19.1572
[ 2. 19.05255888] | magnitude = 19.1572
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[15.5 11.25833025] | magnitude = 19.1572
[ -2. -19.05255888] | magnitude = 19.1572
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[-15. 12.12435565] | magnitude = 19.2873
[-15. -12.12435565] | magnitude = 19.2873
[15. 12.12435565] | magnitude = 19.2873
[ 15. -12.12435565] | magnitude = 19.2873
[18. -6.92820323] | magnitude = 19.2873
[ 3. 19.05255888] | magnitude = 19.2873
[-3. 19.05255888] | magnitude = 19.2873
[18. 6.92820323] | magnitude = 19.2873
[ 3. -19.05255888] | magnitude = 19.2873
[-18. 6.92820323] | magnitude = 19.2873
[ -3. -19.05255888] | magnitude = 19.2873
[-18. -6.92820323] | magnitude = 19.2873
[ 6.5 -18.18653348] | magnitude = 19.3132
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[ 6.5 18.18653348] | magnitude = 19.3132
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[19. -3.46410162] | magnitude = 19.3132
[ 12.5 -14.72243186] | magnitude = 19.3132
[-19. 3.46410162] | magnitude = 19.3132
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[ -6.5 -18.18653348] | magnitude = 19.3132
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[ 14.5 -12.99038106] | magnitude = 19.4679
[-14.5 12.99038106] | magnitude = 19.4679
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[ -4. -19.05255888] | magnitude = 19.4679
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[ 4. -19.05255888] | magnitude = 19.4679
[ 4. 19.05255888] | magnitude = 19.4679
[18.5 6.06217783] | magnitude = 19.4679
[-14.5 -12.99038106] | magnitude = 19.4679
[ 10.5 -16.45448267] | magnitude = 19.5192
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[ 9. 17.32050808] | magnitude = 19.5192
[19.5 0.8660254] | magnitude = 19.5192
[19.5 -0.8660254] | magnitude = 19.5192
[-19.5 0.8660254] | magnitude = 19.5192
[-10.5 16.45448267] | magnitude = 19.5192
[ 9. -17.32050808] | magnitude = 19.5192
[-19.5 -0.8660254] | magnitude = 19.5192
[ -9. -17.32050808] | magnitude = 19.5192
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[ -7.5 -18.18653348] | magnitude = 19.6723
[19.5 2.59807621] | magnitude = 19.6723
[ 7.5 18.18653348] | magnitude = 19.6723
[19.5 -2.59807621] | magnitude = 19.6723
[ 7.5 -18.18653348] | magnitude = 19.6723
[-19.5 -2.59807621] | magnitude = 19.6723
[ 12. -15.58845727] | magnitude = 19.6723
[12. 15.58845727] | magnitude = 19.6723
[-12. -15.58845727] | magnitude = 19.6723
[-12. 15.58845727] | magnitude = 19.6723
[ 5. -19.05255888] | magnitude = 19.6977
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[14. 13.85640646] | magnitude = 19.6977
[-5. 19.05255888] | magnitude = 19.6977
[-14. -13.85640646] | magnitude = 19.6977
[ -5. -19.05255888] | magnitude = 19.6977
[19. -5.19615242] | magnitude = 19.6977
[19. 5.19615242] | magnitude = 19.6977
[ 5. 19.05255888] | magnitude = 19.6977
[ 14. -13.85640646] | magnitude = 19.6977
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[17.5 9.52627944] | magnitude = 19.9249
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[17.5 -9.52627944] | magnitude = 19.9249
[ 17. -10.39230485] | magnitude = 19.9249
[17. 10.39230485] | magnitude = 19.9249
[-17. 10.39230485] | magnitude = 19.9249
[ 0.5 -19.91858429] | magnitude = 19.9249
[-17.5 -9.52627944] | magnitude = 19.9249
[ -0.5 -19.91858429] | magnitude = 19.9249
[-17.5 9.52627944] | magnitude = 19.9249
[-17. -10.39230485] | magnitude = 19.9249
[ 0.5 19.91858429] | magnitude = 19.9249
[19.5 4.33012702] | magnitude = 19.975
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[13.5 14.72243186] | magnitude = 19.975
[-19.5 4.33012702] | magnitude = 19.975
[19.5 -4.33012702] | magnitude = 19.975
[-13.5 -14.72243186] | magnitude = 19.975
[-13.5 14.72243186] | magnitude = 19.975
[ 13.5 -14.72243186] | magnitude = 19.975
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[ -1.5 -19.91858429] | magnitude = 19.975
[ 6. 19.05255888] | magnitude = 19.975
[ 6. -19.05255888] | magnitude = 19.975
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[ 1.5 -19.91858429] | magnitude = 19.975
[ 1.5 19.91858429] | magnitude = 19.975
[18. -8.66025404] | magnitude = 19.975
[ -6. -19.05255888] | magnitude = 19.975
[-18. -8.66025404] | magnitude = 19.975
[-1.5 19.91858429] | magnitude = 19.975
[ 16.5 -11.25833025] | magnitude = 19.975
[16.5 11.25833025] | magnitude = 19.975
[-6. 19.05255888] | magnitude = 19.975
[18. 8.66025404] | magnitude = 19.975
[-16.5 -11.25833025] | magnitude = 19.975
[ 10. -17.32050808] | magnitude = 20.0
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[-10. 17.32050808] | magnitude = 20.0
[-10. -17.32050808] | magnitude = 20.0
[10. 17.32050808] | magnitude = 20.0
[ 8.5 -18.18653348] | magnitude = 20.0749
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[ 11.5 -16.45448267] | magnitude = 20.0749
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[-16. -12.12435565] | magnitude = 20.0749
[ -2.5 -19.91858429] | magnitude = 20.0749
[11.5 16.45448267] | magnitude = 20.0749
[20. 1.73205081] | magnitude = 20.0749
[ 16. -12.12435565] | magnitude = 20.0749
[-2.5 19.91858429] | magnitude = 20.0749
[18.5 -7.79422863] | magnitude = 20.0749
[ 2.5 19.91858429] | magnitude = 20.0749
[20. -1.73205081] | magnitude = 20.0749
[ 8.5 18.18653348] | magnitude = 20.0749
[16. 12.12435565] | magnitude = 20.0749
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[-16. 12.12435565] | magnitude = 20.0749
[ 2.5 -19.91858429] | magnitude = 20.0749
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[-20. 1.73205081] | magnitude = 20.0749
[ -8.5 -18.18653348] | magnitude = 20.0749
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[19. 6.92820323] | magnitude = 20.2237
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[-19. 6.92820323] | magnitude = 20.2237
[ -3.5 -19.91858429] | magnitude = 20.2237
[-15.5 -12.99038106] | magnitude = 20.2237
[-19. -6.92820323] | magnitude = 20.2237
[ 3.5 19.91858429] | magnitude = 20.2237
[19. -6.92820323] | magnitude = 20.2237
[ 3.5 -19.91858429] | magnitude = 20.2237
[-15.5 12.99038106] | magnitude = 20.2237
[ 15.5 -12.99038106] | magnitude = 20.2237
[-3.5 19.91858429] | magnitude = 20.2237
[-13. -15.58845727] | magnitude = 20.2978
[-20. -3.46410162] | magnitude = 20.2978
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[ 13. -15.58845727] | magnitude = 20.2978
[13. 15.58845727] | magnitude = 20.2978
[ 7. 19.05255888] | magnitude = 20.2978
[20. -3.46410162] | magnitude = 20.2978
[20. 3.46410162] | magnitude = 20.2978
[-20. 3.46410162] | magnitude = 20.2978
[ -7. -19.05255888] | magnitude = 20.2978
[-13. 15.58845727] | magnitude = 20.2978
[ 7. -19.05255888] | magnitude = 20.2978
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[19.5 -6.06217783] | magnitude = 20.4206
[19.5 6.06217783] | magnitude = 20.4206
[ 4.5 -19.91858429] | magnitude = 20.4206
[-4.5 19.91858429] | magnitude = 20.4206
[-15. -13.85640646] | magnitude = 20.4206
[ -4.5 -19.91858429] | magnitude = 20.4206
[ 4.5 19.91858429] | magnitude = 20.4206
[15. 13.85640646] | magnitude = 20.4206
[ 15. -13.85640646] | magnitude = 20.4206
[-15. 13.85640646] | magnitude = 20.4206
[ 9.5 18.18653348] | magnitude = 20.5183
[ -9.5 -18.18653348] | magnitude = 20.5183
[-11. -17.32050808] | magnitude = 20.5183
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[11. 17.32050808] | magnitude = 20.5183
[ 9.5 -18.18653348] | magnitude = 20.5183
[-11. 17.32050808] | magnitude = 20.5183
[ 11. -17.32050808] | magnitude = 20.5183
[20.5 0.8660254] | magnitude = 20.5183
[20.5 -0.8660254] | magnitude = 20.5183
[-20.5 0.8660254] | magnitude = 20.5183
[-20.5 -0.8660254] | magnitude = 20.5183
[20. -5.19615242] | magnitude = 20.664
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[14.5 14.72243186] | magnitude = 20.664
[20. 5.19615242] | magnitude = 20.664
[ 8. 19.05255888] | magnitude = 20.664
[12.5 16.45448267] | magnitude = 20.664
[-12.5 16.45448267] | magnitude = 20.664
[-14.5 14.72243186] | magnitude = 20.664
[ 5.5 -19.91858429] | magnitude = 20.664
[ 12.5 -16.45448267] | magnitude = 20.664
[ 8. -19.05255888] | magnitude = 20.664
[-14.5 -14.72243186] | magnitude = 20.664
[-20. -5.19615242] | magnitude = 20.664
[-20. 5.19615242] | magnitude = 20.664
[ -5.5 -19.91858429] | magnitude = 20.664
[-8. 19.05255888] | magnitude = 20.664
[ -8. -19.05255888] | magnitude = 20.664
[ 14.5 -14.72243186] | magnitude = 20.664
[-12.5 -16.45448267] | magnitude = 20.664
[-5.5 19.91858429] | magnitude = 20.664
[20.5 -2.59807621] | magnitude = 20.664
[-20.5 -2.59807621] | magnitude = 20.664
[-20.5 2.59807621] | magnitude = 20.664
[20.5 2.59807621] | magnitude = 20.664
[ 0. 20.78460969] | magnitude = 20.7846
[ 0. -20.78460969] | magnitude = 20.7846
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[ 18. -10.39230485] | magnitude = 20.7846
[18. 10.39230485] | magnitude = 20.7846
[ 1. -20.78460969] | magnitude = 20.8087
[ 17.5 -11.25833025] | magnitude = 20.8087
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[17.5 11.25833025] | magnitude = 20.8087
[-17.5 -11.25833025] | magnitude = 20.8087
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[ -1. -20.78460969] | magnitude = 20.8087
[-1. 20.78460969] | magnitude = 20.8087
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[ 1. 20.78460969] | magnitude = 20.8087
[18.5 -9.52627944] | magnitude = 20.8087
[ 17. -12.12435565] | magnitude = 20.8806
[-2. 20.78460969] | magnitude = 20.8806
[17. 12.12435565] | magnitude = 20.8806
[ 2. 20.78460969] | magnitude = 20.8806
[-17. -12.12435565] | magnitude = 20.8806
[ -2. -20.78460969] | magnitude = 20.8806
[-17. 12.12435565] | magnitude = 20.8806
[ 2. -20.78460969] | magnitude = 20.8806
[19. 8.66025404] | magnitude = 20.8806
[-19. 8.66025404] | magnitude = 20.8806
[-19. -8.66025404] | magnitude = 20.8806
[19. -8.66025404] | magnitude = 20.8806
[ -6.5 -19.91858429] | magnitude = 20.9523
[ 6.5 19.91858429] | magnitude = 20.9523
[ 6.5 -19.91858429] | magnitude = 20.9523
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[20.5 -4.33012702] | magnitude = 20.9523
[20.5 4.33012702] | magnitude = 20.9523
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[14. 15.58845727] | magnitude = 20.9523
[-14. 15.58845727] | magnitude = 20.9523
[ 14. -15.58845727] | magnitude = 20.9523
[-14. -15.58845727] | magnitude = 20.9523
[-20.5 -4.33012702] | magnitude = 20.9523
[ 3. 20.78460969] | magnitude = 21.0
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[ 10.5 -18.18653348] | magnitude = 21.0
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[ 16.5 -12.99038106] | magnitude = 21.0
[ 3. -20.78460969] | magnitude = 21.0
[-19.5 7.79422863] | magnitude = 21.0
[ -3. -20.78460969] | magnitude = 21.0
[-21. 0.] | magnitude = 21.0
[-10.5 -18.18653348] | magnitude = 21.0
[19.5 7.79422863] | magnitude = 21.0
[16.5 12.99038106] | magnitude = 21.0
[10.5 18.18653348] | magnitude = 21.0
[-3. 20.78460969] | magnitude = 21.0
[19.5 -7.79422863] | magnitude = 21.0
[-16.5 -12.99038106] | magnitude = 21.0
[-19.5 -7.79422863] | magnitude = 21.0
[-9. 19.05255888] | magnitude = 21.0713
[ 9. -19.05255888] | magnitude = 21.0713
[ 9. 19.05255888] | magnitude = 21.0713
[ -9. -19.05255888] | magnitude = 21.0713
[-12. -17.32050808] | magnitude = 21.0713
[21. -1.73205081] | magnitude = 21.0713
[ 12. -17.32050808] | magnitude = 21.0713
[12. 17.32050808] | magnitude = 21.0713
[-12. 17.32050808] | magnitude = 21.0713
[-21. 1.73205081] | magnitude = 21.0713
[-21. -1.73205081] | magnitude = 21.0713
[21. 1.73205081] | magnitude = 21.0713
[20. 6.92820323] | magnitude = 21.166
[16. 13.85640646] | magnitude = 21.166
[-16. 13.85640646] | magnitude = 21.166
[ 4. -20.78460969] | magnitude = 21.166
[ 4. 20.78460969] | magnitude = 21.166
[20. -6.92820323] | magnitude = 21.166
[-16. -13.85640646] | magnitude = 21.166
[-20. -6.92820323] | magnitude = 21.166
[ -4. -20.78460969] | magnitude = 21.166
[-20. 6.92820323] | magnitude = 21.166
[-4. 20.78460969] | magnitude = 21.166
[ 16. -13.85640646] | magnitude = 21.166
[13.5 16.45448267] | magnitude = 21.2838
[21. 3.46410162] | magnitude = 21.2838
[-13.5 -16.45448267] | magnitude = 21.2838
[-21. -3.46410162] | magnitude = 21.2838
[-13.5 16.45448267] | magnitude = 21.2838
[ 7.5 -19.91858429] | magnitude = 21.2838
[ -7.5 -19.91858429] | magnitude = 21.2838
[ 7.5 19.91858429] | magnitude = 21.2838
[21. -3.46410162] | magnitude = 21.2838
[-7.5 19.91858429] | magnitude = 21.2838
[ 13.5 -16.45448267] | magnitude = 21.2838
[-21. 3.46410162] | magnitude = 21.2838
[ 5. -20.78460969] | magnitude = 21.3776
[-20.5 6.06217783] | magnitude = 21.3776
[-15.5 -14.72243186] | magnitude = 21.3776
[-20.5 -6.06217783] | magnitude = 21.3776
[ -5. -20.78460969] | magnitude = 21.3776
[15.5 14.72243186] | magnitude = 21.3776
[20.5 6.06217783] | magnitude = 21.3776
[-15.5 14.72243186] | magnitude = 21.3776
[ 5. 20.78460969] | magnitude = 21.3776
[20.5 -6.06217783] | magnitude = 21.3776
[ 15.5 -14.72243186] | magnitude = 21.3776
[-5. 20.78460969] | magnitude = 21.3776
[-21.5 -0.8660254] | magnitude = 21.5174
[-10. -19.05255888] | magnitude = 21.5174
[-21.5 0.8660254] | magnitude = 21.5174
[ 10. -19.05255888] | magnitude = 21.5174
[-11.5 -18.18653348] | magnitude = 21.5174
[-11.5 18.18653348] | magnitude = 21.5174
[ 11.5 -18.18653348] | magnitude = 21.5174
[-10. 19.05255888] | magnitude = 21.5174
[21.5 -0.8660254] | magnitude = 21.5174
[10. 19.05255888] | magnitude = 21.5174
[21.5 0.8660254] | magnitude = 21.5174
[11.5 18.18653348] | magnitude = 21.5174
[ 6. 20.78460969] | magnitude = 21.6333
[-15. -15.58845727] | magnitude = 21.6333
[ 6. -20.78460969] | magnitude = 21.6333
[-6. 20.78460969] | magnitude = 21.6333
[ 15. -15.58845727] | magnitude = 21.6333
[-15. 15.58845727] | magnitude = 21.6333
[ -6. -20.78460969] | magnitude = 21.6333
[15. 15.58845727] | magnitude = 21.6333
[21. -5.19615242] | magnitude = 21.6333
[21. 5.19615242] | magnitude = 21.6333
[-21. -5.19615242] | magnitude = 21.6333
[-21. 5.19615242] | magnitude = 21.6333
[ 0.5 21.65063509] | magnitude = 21.6564
[ 19. -10.39230485] | magnitude = 21.6564
[21.5 -2.59807621] | magnitude = 21.6564
[21.5 2.59807621] | magnitude = 21.6564
[-19. -10.39230485] | magnitude = 21.6564
[ -0.5 -21.65063509] | magnitude = 21.6564
[-18.5 11.25833025] | magnitude = 21.6564
[-19. 10.39230485] | magnitude = 21.6564
[-0.5 21.65063509] | magnitude = 21.6564
[-18.5 -11.25833025] | magnitude = 21.6564
[-13. -17.32050808] | magnitude = 21.6564
[ 18.5 -11.25833025] | magnitude = 21.6564
[-21.5 -2.59807621] | magnitude = 21.6564
[ -8.5 -19.91858429] | magnitude = 21.6564
[19. 10.39230485] | magnitude = 21.6564
[-21.5 2.59807621] | magnitude = 21.6564
[18.5 11.25833025] | magnitude = 21.6564
[ 0.5 -21.65063509] | magnitude = 21.6564
[ 8.5 -19.91858429] | magnitude = 21.6564
[ 8.5 19.91858429] | magnitude = 21.6564
[-13. 17.32050808] | magnitude = 21.6564
[ 13. -17.32050808] | magnitude = 21.6564
[-8.5 19.91858429] | magnitude = 21.6564
[13. 17.32050808] | magnitude = 21.6564
[14.5 16.45448267] | magnitude = 21.9317
[17. 13.85640646] | magnitude = 21.9317
[ 14.5 -16.45448267] | magnitude = 21.9317
[-7. 20.78460969] | magnitude = 21.9317
[-3.5 21.65063509] | magnitude = 21.9317
[ 17. -13.85640646] | magnitude = 21.9317
[ 7. 20.78460969] | magnitude = 21.9317
[21.5 -4.33012702] | magnitude = 21.9317
[ -3.5 -21.65063509] | magnitude = 21.9317
[-21.5 4.33012702] | magnitude = 21.9317
[ -7. -20.78460969] | magnitude = 21.9317
[-14.5 16.45448267] | magnitude = 21.9317
[-17. 13.85640646] | magnitude = 21.9317
[ 7. -20.78460969] | magnitude = 21.9317
[ 3.5 21.65063509] | magnitude = 21.9317
[-14.5 -16.45448267] | magnitude = 21.9317
[ 3.5 -21.65063509] | magnitude = 21.9317
[-17. -13.85640646] | magnitude = 21.9317
[-21.5 -4.33012702] | magnitude = 21.9317
[21.5 4.33012702] | magnitude = 21.9317
[-20.5 7.79422863] | magnitude = 21.9317
[-20.5 -7.79422863] | magnitude = 21.9317
[20.5 -7.79422863] | magnitude = 21.9317
[20.5 7.79422863] | magnitude = 21.9317
[ 11. -19.05255888] | magnitude = 22.0
[11. 19.05255888] | magnitude = 22.0
[-22. 0.] | magnitude = 22.0
[22. 0.] | magnitude = 22.0
[-11. -19.05255888] | magnitude = 22.0
[-11. 19.05255888] | magnitude = 22.0
[-9.5 19.91858429] | magnitude = 22.0681
[ 9.5 19.91858429] | magnitude = 22.0681
[-12.5 18.18653348] | magnitude = 22.0681
[-12.5 -18.18653348] | magnitude = 22.0681
[ 9.5 -19.91858429] | magnitude = 22.0681
[ -9.5 -19.91858429] | magnitude = 22.0681
[12.5 18.18653348] | magnitude = 22.0681
[ 12.5 -18.18653348] | magnitude = 22.0681
[22. 1.73205081] | magnitude = 22.0681
[22. -1.73205081] | magnitude = 22.0681
[-22. -1.73205081] | magnitude = 22.0681
[-22. 1.73205081] | magnitude = 22.0681
[ -8. -20.78460969] | magnitude = 22.2711
[ 8. 20.78460969] | magnitude = 22.2711
[-8. 20.78460969] | magnitude = 22.2711
[ 8. -20.78460969] | magnitude = 22.2711
[22. 3.46410162] | magnitude = 22.2711
[14. 17.32050808] | magnitude = 22.2711
[-22. -3.46410162] | magnitude = 22.2711
[-14. -17.32050808] | magnitude = 22.2711
[-14. 17.32050808] | magnitude = 22.2711
[-22. 3.46410162] | magnitude = 22.2711
[ 14. -17.32050808] | magnitude = 22.2711
[22. -3.46410162] | magnitude = 22.2711
[-19.5 11.25833025] | magnitude = 22.5167
[ 10.5 -19.91858429] | magnitude = 22.5167
[10.5 19.91858429] | magnitude = 22.5167
[22.5 0.8660254] | magnitude = 22.5167
[12. 19.05255888] | magnitude = 22.5167
[19.5 11.25833025] | magnitude = 22.5167
[-22.5 -0.8660254] | magnitude = 22.5167
[-12. -19.05255888] | magnitude = 22.5167
[-10.5 -19.91858429] | magnitude = 22.5167
[-10.5 19.91858429] | magnitude = 22.5167
[ 12. -19.05255888] | magnitude = 22.5167
[-12. 19.05255888] | magnitude = 22.5167
[ 19.5 -11.25833025] | magnitude = 22.5167
[-19.5 -11.25833025] | magnitude = 22.5167
[22.5 -0.8660254] | magnitude = 22.5167
[ 0. 22.5166605] | magnitude = 22.5167
[ 0. -22.5166605] | magnitude = 22.5167
[-22.5 0.8660254] | magnitude = 22.5167
[-13.5 -18.18653348] | magnitude = 22.6495
[13.5 18.18653348] | magnitude = 22.6495
[ 9. 20.78460969] | magnitude = 22.6495
[-9. 20.78460969] | magnitude = 22.6495
[ -9. -20.78460969] | magnitude = 22.6495
[ 9. -20.78460969] | magnitude = 22.6495
[-13.5 18.18653348] | magnitude = 22.6495
[ 13.5 -18.18653348] | magnitude = 22.6495
[-22.5 2.59807621] | magnitude = 22.6495
[22.5 -2.59807621] | magnitude = 22.6495
[-22.5 -2.59807621] | magnitude = 22.6495
[22.5 2.59807621] | magnitude = 22.6495
[11.5 19.91858429] | magnitude = 23.0
[23. 0.] | magnitude = 23.0
[-11.5 19.91858429] | magnitude = 23.0
[-11.5 -19.91858429] | magnitude = 23.0
[ 11.5 -19.91858429] | magnitude = 23.0
[-23. 0.] | magnitude = 23.0
[-17. -15.58845727] | magnitude = 23.0651
[-22. -6.92820323] | magnitude = 23.0651
[-13. -19.05255888] | magnitude = 23.0651
[-23. -1.73205081] | magnitude = 23.0651
[-10. -20.78460969] | magnitude = 23.0651
[-23. 1.73205081] | magnitude = 23.0651
[ 13. -19.05255888] | magnitude = 23.0651
[-13. 19.05255888] | magnitude = 23.0651
[23. -1.73205081] | magnitude = 23.0651
[10. 20.78460969] | magnitude = 23.0651
[-10. 20.78460969] | magnitude = 23.0651
[ 5. 22.5166605] | magnitude = 23.0651
[23. 1.73205081] | magnitude = 23.0651
[13. 19.05255888] | magnitude = 23.0651
[-22. 6.92820323] | magnitude = 23.0651
[ -5. -22.5166605] | magnitude = 23.0651
[-5. 22.5166605] | magnitude = 23.0651
[22. -6.92820323] | magnitude = 23.0651
[ 5. -22.5166605] | magnitude = 23.0651
[22. 6.92820323] | magnitude = 23.0651
[17. 15.58845727] | magnitude = 23.0651
[-17. 15.58845727] | magnitude = 23.0651
[ 17. -15.58845727] | magnitude = 23.0651
[ 10. -20.78460969] | magnitude = 23.0651
[21.5 9.52627944] | magnitude = 23.516
[-23.5 0.8660254] | magnitude = 23.516
[19. 13.85640646] | magnitude = 23.516
[-19. 13.85640646] | magnitude = 23.516
[-12.5 19.91858429] | magnitude = 23.516
[ 11. -20.78460969] | magnitude = 23.516
[ 12.5 -19.91858429] | magnitude = 23.516
[-11. 20.78460969] | magnitude = 23.516
[12.5 19.91858429] | magnitude = 23.516
[ 19. -13.85640646] | magnitude = 23.516
[-11. -20.78460969] | magnitude = 23.516
[-21.5 9.52627944] | magnitude = 23.516
[23.5 -0.8660254] | magnitude = 23.516
[21.5 -9.52627944] | magnitude = 23.516
[23.5 0.8660254] | magnitude = 23.516
[11. 20.78460969] | magnitude = 23.516
[-12.5 -19.91858429] | magnitude = 23.516
[-23.5 -0.8660254] | magnitude = 23.516
[-19. -13.85640646] | magnitude = 23.516
[-21.5 -9.52627944] | magnitude = 23.516
[ 2.5 -23.3826859] | magnitude = 23.516
[-2.5 23.3826859] | magnitude = 23.516
[ -2.5 -23.3826859] | magnitude = 23.516
[ 2.5 23.3826859] | magnitude = 23.516
[-24. 0.] | magnitude = 24.0
[-12. -20.78460969] | magnitude = 24.0
[12. 20.78460969] | magnitude = 24.0
[24. 0.] | magnitude = 24.0
[ 12. -20.78460969] | magnitude = 24.0
[-12. 20.78460969] | magnitude = 24.018 views
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