mirror of
https://github.com/LCPQ/quantum_package
synced 2024-11-03 20:54:00 +01:00
63 lines
8.4 KiB
Plaintext
63 lines
8.4 KiB
Plaintext
Group D24d
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n 27
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Irred Operation
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1 A1 E
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2 A2 S48
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3 B1 C24
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4 B2 S16
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5 E1 C12
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6 E2 S48^5
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7 E3 C8
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8 E4 S48^7
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9 E5 C6
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10 E6 S16^3
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11 E7 C24^5
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12 E8 S48^11
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13 E9 C4
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14 E10 S48^13
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15 E11 C24^7
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16 E12 S16^5
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17 E13 C3
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18 E14 S48^17
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19 E15 C8^3
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20 E16 S48^19
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21 E17 C12^5
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22 E18 S16^7
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23 E19 C24^11
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24 E20 S48^23
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25 E21 C2
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26 E22 C2'
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27 E23 sd
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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
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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
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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
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3 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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4 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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5 2.00000 1.98289 1.93185 1.84776 1.73205 1.58671 1.41421 1.21752 1.00000 0.76537 0.51764 0.26105 0.00000 -0.26105 -0.51764 -0.76537 -1.00000 -1.21752 -1.41421 -1.58671 -1.73205 -1.84776 -1.93185 -1.98289 -2.00000 0.00000 0.00000
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6 2.00000 1.93185 1.73205 1.41421 1.00000 0.51764 0.00000 -0.51764 -1.00000 -1.41421 -1.73205 -1.93185 -2.00000 -1.93185 -1.73205 -1.41421 -1.00000 -0.51764 0.00000 0.51764 1.00000 1.41421 1.73205 1.93185 2.00000 0.00000 0.00000
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7 2.00000 1.84776 1.41421 0.76537 0.00000 -0.76537 -1.41421 -1.84776 -2.00000 -1.84776 -1.41421 -0.76537 0.00000 0.76537 1.41421 1.84776 2.00000 1.84776 1.41421 0.76537 0.00000 -0.76537 -1.41421 -1.84776 -2.00000 0.00000 0.00000
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8 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 0.00000 0.00000
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9 2.00000 1.58671 0.51764 -0.76537 -1.73205 -1.98289 -1.41421 -0.26105 1.00000 1.84776 1.93185 1.21752 0.00000 -1.21752 -1.93185 -1.84776 -1.00000 0.26105 1.41421 1.98289 1.73205 0.76537 -0.51764 -1.58671 -2.00000 0.00000 0.00000
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10 2.00000 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 0.00000 0.00000
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11 2.00000 1.21752 -0.51764 -1.84776 -1.73205 -0.26105 1.41421 1.98289 1.00000 -0.76537 -1.93185 -1.58671 0.00000 1.58671 1.93185 0.76537 -1.00000 -1.98289 -1.41421 0.26105 1.73205 1.84776 0.51764 -1.21752 -2.00000 0.00000 0.00000
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12 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 0.00000 0.00000
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13 2.00000 0.76537 -1.41421 -1.84776 0.00000 1.84776 1.41421 -0.76537 -2.00000 -0.76537 1.41421 1.84776 0.00000 -1.84776 -1.41421 0.76537 2.00000 0.76537 -1.41421 -1.84776 0.00000 1.84776 1.41421 -0.76537 -2.00000 0.00000 0.00000
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14 2.00000 0.51764 -1.73205 -1.41421 1.00000 1.93185 0.00000 -1.93185 -1.00000 1.41421 1.73205 -0.51764 -2.00000 -0.51764 1.73205 1.41421 -1.00000 -1.93185 0.00000 1.93185 1.00000 -1.41421 -1.73205 0.51764 2.00000 0.00000 0.00000
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15 2.00000 0.26105 -1.93185 -0.76537 1.73205 1.21752 -1.41421 -1.58671 1.00000 1.84776 -0.51764 -1.98289 0.00000 1.98289 0.51764 -1.84776 -1.00000 1.58671 1.41421 -1.21752 -1.73205 0.76537 1.93185 -0.26105 -2.00000 0.00000 0.00000
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16 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 0.00000
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17 2.00000 -0.26105 -1.93185 0.76537 1.73205 -1.21752 -1.41421 1.58671 1.00000 -1.84776 -0.51764 1.98289 0.00000 -1.98289 0.51764 1.84776 -1.00000 -1.58671 1.41421 1.21752 -1.73205 -0.76537 1.93185 0.26105 -2.00000 0.00000 0.00000
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18 2.00000 -0.51764 -1.73205 1.41421 1.00000 -1.93185 0.00000 1.93185 -1.00000 -1.41421 1.73205 0.51764 -2.00000 0.51764 1.73205 -1.41421 -1.00000 1.93185 0.00000 -1.93185 1.00000 1.41421 -1.73205 -0.51764 2.00000 0.00000 0.00000
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19 2.00000 -0.76537 -1.41421 1.84776 0.00000 -1.84776 1.41421 0.76537 -2.00000 0.76537 1.41421 -1.84776 0.00000 1.84776 -1.41421 -0.76537 2.00000 -0.76537 -1.41421 1.84776 0.00000 -1.84776 1.41421 0.76537 -2.00000 0.00000 0.00000
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20 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 0.00000 0.00000
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21 2.00000 -1.21752 -0.51764 1.84776 -1.73205 0.26105 1.41421 -1.98289 1.00000 0.76537 -1.93185 1.58671 0.00000 -1.58671 1.93185 -0.76537 -1.00000 1.98289 -1.41421 -0.26105 1.73205 -1.84776 0.51764 1.21752 -2.00000 0.00000 0.00000
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22 2.00000 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 0.00000 0.00000
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23 2.00000 -1.58671 0.51764 0.76537 -1.73205 1.98289 -1.41421 0.26105 1.00000 -1.84776 1.93185 -1.21752 0.00000 1.21752 -1.93185 1.84776 -1.00000 -0.26105 1.41421 -1.98289 1.73205 -0.76537 -0.51764 1.58671 -2.00000 0.00000 0.00000
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24 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 0.00000 0.00000
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25 2.00000 -1.84776 1.41421 -0.76537 0.00000 0.76537 -1.41421 1.84776 -2.00000 1.84776 -1.41421 0.76537 0.00000 -0.76537 1.41421 -1.84776 2.00000 -1.84776 1.41421 -0.76537 0.00000 0.76537 -1.41421 1.84776 -2.00000 0.00000 0.00000
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26 2.00000 -1.93185 1.73205 -1.41421 1.00000 -0.51764 0.00000 0.51764 -1.00000 1.41421 -1.73205 1.93185 -2.00000 1.93185 -1.73205 1.41421 -1.00000 0.51764 0.00000 -0.51764 1.00000 -1.41421 1.73205 -1.93185 2.00000 0.00000 0.00000
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27 2.00000 -1.98289 1.93185 -1.84776 1.73205 -1.58671 1.41421 -1.21752 1.00000 -0.76537 0.51764 -0.26105 0.00000 0.26105 -0.51764 0.76537 -1.00000 1.21752 -1.41421 1.58671 -1.73205 1.84776 -1.93185 1.98289 -2.00000 0.00000 0.00000
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