# Identifications: Torus Glued
# Comparison of Eigenfunctions on Level 2 to Eigenfunctions on Level 1
# Looking at K = 20 eigenvalues to either side of the closest level-1 eigenvalue.

# Dot value closer to zero means closer comparison.

# Eigenvalue Index, Dot Value
# 0, 0.0
# 1, 1.1102230246251565e-16
# 2, 0.007208422818863691
# 3, 0.007208422818863469
# 4, 2.220446049250313e-16
# 5, 2.220446049250313e-16
# 6, 0.08916117818499303
# 7, 0.0891611781849927
# 8, 2.220446049250313e-16
# 9, 1.1102230246251565e-16
# 10, 0.0
# 11, 0.1131236807071937
# 12, 0.11312368070719725
# 13, 2
# 14, 2.220446049250313e-16
# 15, 0.011440672902887528
# 16, 0.011440672902887417
# 17, 2
# 18, 0.0
# 19, 0.007550097877229489
# 20, 0.007550097877230488
# 21, 0.0
# 22, 0.0
# 23, 2
# 24, 2
# 25, 0.02112597089916579
# 26, 0.021125970899165347
# 27, 0.0
# 28, 2
# 29, 0.028736508594888743
# 30, 0.02873650859488397
# 31, 0.08754815732229404
# 32, 0.08754815732229271
# 33, 0.0
# 34, 2
# 35, 2
# 36, 0.0
# 37, 0.26332463973073283
# 38, 0.26332463973073483
# 39, 0.0
# 40, 2.220446049250313e-16
# 41, 0.11919793065129936
# 42, 0.11919793065128337
# 43, 0.0
# 44, 0.0
# 45, 2
# 46, 0.0
# 47, 0.008885431644714004
# 48, 0.008885431644713115
# 49, 0.0
# 50, 2
# 51, 0.25778074451686306
# 52, 0.2577807445168505
# 53, 2
# 54, 0.0
# 55, 2
# 56, 2
# 57, 0.0006700670542102438
# 58, 0.0006700670542103548
# 59, 2.220446049250313e-16
# 60, 0.008519342893784754
# 61, 0.00851934289378442
# 62, 2
# 63, 0.0

dots = [0.0, 1.1102230246251565e-16, 0.007208422818863691, 0.007208422818863469, 2.220446049250313e-16, 2.220446049250313e-16, 0.08916117818499303, 0.0891611781849927, 2.220446049250313e-16, 1.1102230246251565e-16, 0.0, 0.1131236807071937, 0.11312368070719725, 2, 2.220446049250313e-16, 0.011440672902887528, 0.011440672902887417, 2, 0.0, 0.007550097877229489, 0.007550097877230488, 0.0, 0.0, 2, 2, 0.02112597089916579, 0.021125970899165347, 0.0, 2, 0.028736508594888743, 0.02873650859488397, 0.08754815732229404, 0.08754815732229271, 0.0, 2, 2, 0.0, 0.26332463973073283, 0.26332463973073483, 0.0, 2.220446049250313e-16, 0.11919793065129936, 0.11919793065128337, 0.0, 0.0, 2, 0.0, 0.008885431644714004, 0.008885431644713115, 0.0, 2, 0.25778074451686306, 0.2577807445168505, 2, 0.0, 2, 2, 0.0006700670542102438, 0.0006700670542103548, 2.220446049250313e-16, 0.008519342893784754, 0.00851934289378442, 2, 0.0]