mirror of
https://github.com/LCPQ/quantum_package
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73 lines
12 KiB
Plaintext
73 lines
12 KiB
Plaintext
Group C31h
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n 32
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Irred Operation
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1 A' E
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2 A" C31
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3 E1' C31^2
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4 E1" C31^3
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5 E2' C31^4
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6 E2" C31^5
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7 E3' C31^6
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8 E3" C31^7
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9 E4' C31^8
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10 E4" C31^9
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11 E5' C31^10
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12 E5" C31^11
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13 E6' C31^12
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14 E6" C31^13
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15 E7' C31^14
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16 E7" C31^15
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17 E8' sh
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18 E8" S31
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19 E9' S31^3
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20 E9" S31^5
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21 E10' S31^7
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22 E10" S31^9
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23 E11' S31^11
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24 E11" S31^13
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25 E12' S31^15
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26 E12" S31^17
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27 E13' S31^19
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28 E13" S31^21
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29 E14' S31^23
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30 E14" S31^25
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31 E15' S31^27
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32 E15" S31^29
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Table
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
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1 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
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2 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000
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3 2.00000 1.95906 1.83792 1.64153 1.37793 1.05793 0.69461 0.30286 -0.10130 -0.50131 -0.88079 -1.22421 -1.51752 -1.74869 -1.90828 -1.98974 2.00000 1.95906 1.64153 1.05793 0.30286 -0.50131 -1.22421 -1.74869 -1.98974 -1.90828 -1.51752 -0.88079 -0.10130 0.69461 1.37793 1.83792
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4 2.00000 1.95906 1.83792 1.64153 1.37793 1.05793 0.69461 0.30286 -0.10130 -0.50131 -0.88079 -1.22421 -1.51752 -1.74869 -1.90828 -1.98974 -2.00000 -1.95906 -1.64153 -1.05793 -0.30286 0.50131 1.22421 1.74869 1.98974 1.90828 1.51752 0.88079 0.10130 -0.69461 -1.37793 -1.83792
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5 2.00000 1.83792 1.37793 0.69461 -0.10130 -0.88079 -1.51752 -1.90828 -1.98974 -1.74869 -1.22421 -0.50131 0.30286 1.05793 1.64153 1.95906 2.00000 1.83792 0.69461 -0.88079 -1.90828 -1.74869 -0.50131 1.05793 1.95906 1.64153 0.30286 -1.22421 -1.98974 -1.51752 -0.10130 1.37793
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6 2.00000 1.83792 1.37793 0.69461 -0.10130 -0.88079 -1.51752 -1.90828 -1.98974 -1.74869 -1.22421 -0.50131 0.30286 1.05793 1.64153 1.95906 -2.00000 -1.83792 -0.69461 0.88079 1.90828 1.74869 0.50131 -1.05793 -1.95906 -1.64153 -0.30286 1.22421 1.98974 1.51752 0.10130 -1.37793
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7 2.00000 1.64153 0.69461 -0.50131 -1.51752 -1.98974 -1.74869 -0.88079 0.30286 1.37793 1.95906 1.83792 1.05793 -0.10130 -1.22421 -1.90828 2.00000 1.64153 -0.50131 -1.98974 -0.88079 1.37793 1.83792 -0.10130 -1.90828 -1.22421 1.05793 1.95906 0.30286 -1.74869 -1.51752 0.69461
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8 2.00000 1.64153 0.69461 -0.50131 -1.51752 -1.98974 -1.74869 -0.88079 0.30286 1.37793 1.95906 1.83792 1.05793 -0.10130 -1.22421 -1.90828 -2.00000 -1.64153 0.50131 1.98974 0.88079 -1.37793 -1.83792 0.10130 1.90828 1.22421 -1.05793 -1.95906 -0.30286 1.74869 1.51752 -0.69461
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9 2.00000 1.37793 -0.10130 -1.51752 -1.98974 -1.22421 0.30286 1.64153 1.95906 1.05793 -0.50131 -1.74869 -1.90828 -0.88079 0.69461 1.83792 2.00000 1.37793 -1.51752 -1.22421 1.64153 1.05793 -1.74869 -0.88079 1.83792 0.69461 -1.90828 -0.50131 1.95906 0.30286 -1.98974 -0.10130
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10 2.00000 1.37793 -0.10130 -1.51752 -1.98974 -1.22421 0.30286 1.64153 1.95906 1.05793 -0.50131 -1.74869 -1.90828 -0.88079 0.69461 1.83792 -2.00000 -1.37793 1.51752 1.22421 -1.64153 -1.05793 1.74869 0.88079 -1.83792 -0.69461 1.90828 0.50131 -1.95906 -0.30286 1.98974 0.10130
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11 2.00000 1.05793 -0.88079 -1.98974 -1.22421 0.69461 1.95906 1.37793 -0.50131 -1.90828 -1.51752 0.30286 1.83792 1.64153 -0.10130 -1.74869 2.00000 1.05793 -1.98974 0.69461 1.37793 -1.90828 0.30286 1.64153 -1.74869 -0.10130 1.83792 -1.51752 -0.50131 1.95906 -1.22421 -0.88079
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12 2.00000 1.05793 -0.88079 -1.98974 -1.22421 0.69461 1.95906 1.37793 -0.50131 -1.90828 -1.51752 0.30286 1.83792 1.64153 -0.10130 -1.74869 -2.00000 -1.05793 1.98974 -0.69461 -1.37793 1.90828 -0.30286 -1.64153 1.74869 0.10130 -1.83792 1.51752 0.50131 -1.95906 1.22421 0.88079
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13 2.00000 0.69461 -1.51752 -1.74869 0.30286 1.95906 1.05793 -1.22421 -1.90828 -0.10130 1.83792 1.37793 -0.88079 -1.98974 -0.50131 1.64153 2.00000 0.69461 -1.74869 1.95906 -1.22421 -0.10130 1.37793 -1.98974 1.64153 -0.50131 -0.88079 1.83792 -1.90828 1.05793 0.30286 -1.51752
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14 2.00000 0.69461 -1.51752 -1.74869 0.30286 1.95906 1.05793 -1.22421 -1.90828 -0.10130 1.83792 1.37793 -0.88079 -1.98974 -0.50131 1.64153 -2.00000 -0.69461 1.74869 -1.95906 1.22421 0.10130 -1.37793 1.98974 -1.64153 0.50131 0.88079 -1.83792 1.90828 -1.05793 -0.30286 1.51752
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15 2.00000 0.30286 -1.90828 -0.88079 1.64153 1.37793 -1.22421 -1.74869 0.69461 1.95906 -0.10130 -1.98974 -0.50131 1.83792 1.05793 -1.51752 2.00000 0.30286 -0.88079 1.37793 -1.74869 1.95906 -1.98974 1.83792 -1.51752 1.05793 -0.50131 -0.10130 0.69461 -1.22421 1.64153 -1.90828
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16 2.00000 0.30286 -1.90828 -0.88079 1.64153 1.37793 -1.22421 -1.74869 0.69461 1.95906 -0.10130 -1.98974 -0.50131 1.83792 1.05793 -1.51752 -2.00000 -0.30286 0.88079 -1.37793 1.74869 -1.95906 1.98974 -1.83792 1.51752 -1.05793 0.50131 0.10130 -0.69461 1.22421 -1.64153 1.90828
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17 2.00000 -0.10130 -1.98974 0.30286 1.95906 -0.50131 -1.90828 0.69461 1.83792 -0.88079 -1.74869 1.05793 1.64153 -1.22421 -1.51752 1.37793 2.00000 -0.10130 0.30286 -0.50131 0.69461 -0.88079 1.05793 -1.22421 1.37793 -1.51752 1.64153 -1.74869 1.83792 -1.90828 1.95906 -1.98974
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18 2.00000 -0.10130 -1.98974 0.30286 1.95906 -0.50131 -1.90828 0.69461 1.83792 -0.88079 -1.74869 1.05793 1.64153 -1.22421 -1.51752 1.37793 -2.00000 0.10130 -0.30286 0.50131 -0.69461 0.88079 -1.05793 1.22421 -1.37793 1.51752 -1.64153 1.74869 -1.83792 1.90828 -1.95906 1.98974
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19 2.00000 -0.50131 -1.74869 1.37793 1.05793 -1.90828 -0.10130 1.95906 -0.88079 -1.51752 1.64153 0.69461 -1.98974 0.30286 1.83792 -1.22421 2.00000 -0.50131 1.37793 -1.90828 1.95906 -1.51752 0.69461 0.30286 -1.22421 1.83792 -1.98974 1.64153 -0.88079 -0.10130 1.05793 -1.74869
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20 2.00000 -0.50131 -1.74869 1.37793 1.05793 -1.90828 -0.10130 1.95906 -0.88079 -1.51752 1.64153 0.69461 -1.98974 0.30286 1.83792 -1.22421 -2.00000 0.50131 -1.37793 1.90828 -1.95906 1.51752 -0.69461 -0.30286 1.22421 -1.83792 1.98974 -1.64153 0.88079 0.10130 -1.05793 1.74869
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21 2.00000 -0.88079 -1.22421 1.95906 -0.50131 -1.51752 1.83792 -0.10130 -1.74869 1.64153 0.30286 -1.90828 1.37793 0.69461 -1.98974 1.05793 2.00000 -0.88079 1.95906 -1.51752 -0.10130 1.64153 -1.90828 0.69461 1.05793 -1.98974 1.37793 0.30286 -1.74869 1.83792 -0.50131 -1.22421
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22 2.00000 -0.88079 -1.22421 1.95906 -0.50131 -1.51752 1.83792 -0.10130 -1.74869 1.64153 0.30286 -1.90828 1.37793 0.69461 -1.98974 1.05793 -2.00000 0.88079 -1.95906 1.51752 0.10130 -1.64153 1.90828 -0.69461 -1.05793 1.98974 -1.37793 -0.30286 1.74869 -1.83792 0.50131 1.22421
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23 2.00000 -1.22421 -0.50131 1.83792 -1.74869 0.30286 1.37793 -1.98974 1.05793 0.69461 -1.90828 1.64153 -0.10130 -1.51752 1.95906 -0.88079 2.00000 -1.22421 1.83792 0.30286 -1.98974 0.69461 1.64153 -1.51752 -0.88079 1.95906 -0.10130 -1.90828 1.05793 1.37793 -1.74869 -0.50131
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24 2.00000 -1.22421 -0.50131 1.83792 -1.74869 0.30286 1.37793 -1.98974 1.05793 0.69461 -1.90828 1.64153 -0.10130 -1.51752 1.95906 -0.88079 -2.00000 1.22421 -1.83792 -0.30286 1.98974 -0.69461 -1.64153 1.51752 0.88079 -1.95906 0.10130 1.90828 -1.05793 -1.37793 1.74869 0.50131
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25 2.00000 -1.51752 0.30286 1.05793 -1.90828 1.83792 -0.88079 -0.50131 1.64153 -1.98974 1.37793 -0.10130 -1.22421 1.95906 -1.74869 0.69461 2.00000 -1.51752 1.05793 1.83792 -0.50131 -1.98974 -0.10130 1.95906 0.69461 -1.74869 -1.22421 1.37793 1.64153 -0.88079 -1.90828 0.30286
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26 2.00000 -1.51752 0.30286 1.05793 -1.90828 1.83792 -0.88079 -0.50131 1.64153 -1.98974 1.37793 -0.10130 -1.22421 1.95906 -1.74869 0.69461 -2.00000 1.51752 -1.05793 -1.83792 0.50131 1.98974 0.10130 -1.95906 -0.69461 1.74869 1.22421 -1.37793 -1.64153 0.88079 1.90828 -0.30286
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27 2.00000 -1.74869 1.05793 -0.10130 -0.88079 1.64153 -1.98974 1.83792 -1.22421 0.30286 0.69461 -1.51752 1.95906 -1.90828 1.37793 -0.50131 2.00000 -1.74869 -0.10130 1.64153 1.83792 0.30286 -1.51752 -1.90828 -0.50131 1.37793 1.95906 0.69461 -1.22421 -1.98974 -0.88079 1.05793
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28 2.00000 -1.74869 1.05793 -0.10130 -0.88079 1.64153 -1.98974 1.83792 -1.22421 0.30286 0.69461 -1.51752 1.95906 -1.90828 1.37793 -0.50131 -2.00000 1.74869 0.10130 -1.64153 -1.83792 -0.30286 1.51752 1.90828 0.50131 -1.37793 -1.95906 -0.69461 1.22421 1.98974 0.88079 -1.05793
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29 2.00000 -1.90828 1.64153 -1.22421 0.69461 -0.10130 -0.50131 1.05793 -1.51752 1.83792 -1.98974 1.95906 -1.74869 1.37793 -0.88079 0.30286 2.00000 -1.90828 -1.22421 -0.10130 1.05793 1.83792 1.95906 1.37793 0.30286 -0.88079 -1.74869 -1.98974 -1.51752 -0.50131 0.69461 1.64153
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30 2.00000 -1.90828 1.64153 -1.22421 0.69461 -0.10130 -0.50131 1.05793 -1.51752 1.83792 -1.98974 1.95906 -1.74869 1.37793 -0.88079 0.30286 -2.00000 1.90828 1.22421 0.10130 -1.05793 -1.83792 -1.95906 -1.37793 -0.30286 0.88079 1.74869 1.98974 1.51752 0.50131 -0.69461 -1.64153
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31 2.00000 -1.98974 1.95906 -1.90828 1.83792 -1.74869 1.64153 -1.51752 1.37793 -1.22421 1.05793 -0.88079 0.69461 -0.50131 0.30286 -0.10130 2.00000 -1.98974 -1.90828 -1.74869 -1.51752 -1.22421 -0.88079 -0.50131 -0.10130 0.30286 0.69461 1.05793 1.37793 1.64153 1.83792 1.95906
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32 2.00000 -1.98974 1.95906 -1.90828 1.83792 -1.74869 1.64153 -1.51752 1.37793 -1.22421 1.05793 -0.88079 0.69461 -0.50131 0.30286 -0.10130 -2.00000 1.98974 1.90828 1.74869 1.51752 1.22421 0.88079 0.50131 0.10130 -0.30286 -0.69461 -1.05793 -1.37793 -1.64153 -1.83792 -1.95906
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