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quantum_package/data/Symmetry/D32d

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Plaintext

Group D32d
n 35
Irred Operation
1 A1 E
2 A2 S64
3 B1 C32
4 B2 S64^3
5 E1 C16
6 E2 S64^5
7 E3 C32^3
8 E4 S64^7
9 E5 C8
10 E6 S64^9
11 E7 C32^5
12 E8 S64^11
13 E9 C16^3
14 E10 S64^13
15 E11 C32^7
16 E12 S64^15
17 E13 C4
18 E14 S64^17
19 E15 C32^9
20 E16 S64^19
21 E17 C16^5
22 E18 S64^21
23 E19 C32^11
24 E20 S64^23
25 E21 C8^3
26 E22 S64^25
27 E23 C32^13
28 E24 S64^27
29 E25 C16^7
30 E26 S64^29
31 E27 C32^15
32 E28 S64^31
33 E29 C2
34 E30 C2'
35 E31 sd
Table
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 33 34 35
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 1.00000 1.00000 1.00000
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 1.00000 -1.00000 -1.00000
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 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 -1.00000
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 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000
5 2.00000 1.99037 1.96157 1.91388 1.84776 1.76384 1.66294 1.54602 1.41421 1.26879 1.11114 0.94279 0.76537 0.58057 0.39018 0.19603 0.00000 -0.19603 -0.39018 -0.58057 -0.76537 -0.94279 -1.11114 -1.26879 -1.41421 -1.54602 -1.66294 -1.76384 -1.84776 -1.91388 -1.96157 -1.99037 -2.00000 0.00000 0.00000
6 2.00000 1.96157 1.84776 1.66294 1.41421 1.11114 0.76537 0.39018 0.00000 -0.39018 -0.76537 -1.11114 -1.41421 -1.66294 -1.84776 -1.96157 -2.00000 -1.96157 -1.84776 -1.66294 -1.41421 -1.11114 -0.76537 -0.39018 0.00000 0.39018 0.76537 1.11114 1.41421 1.66294 1.84776 1.96157 2.00000 0.00000 0.00000
7 2.00000 1.91388 1.66294 1.26879 0.76537 0.19603 -0.39018 -0.94279 -1.41421 -1.76384 -1.96157 -1.99037 -1.84776 -1.54602 -1.11114 -0.58057 0.00000 0.58057 1.11114 1.54602 1.84776 1.99037 1.96157 1.76384 1.41421 0.94279 0.39018 -0.19603 -0.76537 -1.26879 -1.66294 -1.91388 -2.00000 0.00000 0.00000
8 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 -1.84776 -1.41421 -0.76537 0.00000 0.76537 1.41421 1.84776 2.00000 0.00000 0.00000
9 2.00000 1.76384 1.11114 0.19603 -0.76537 -1.54602 -1.96157 -1.91388 -1.41421 -0.58057 0.39018 1.26879 1.84776 1.99037 1.66294 0.94279 0.00000 -0.94279 -1.66294 -1.99037 -1.84776 -1.26879 -0.39018 0.58057 1.41421 1.91388 1.96157 1.54602 0.76537 -0.19603 -1.11114 -1.76384 -2.00000 0.00000 0.00000
10 2.00000 1.66294 0.76537 -0.39018 -1.41421 -1.96157 -1.84776 -1.11114 0.00000 1.11114 1.84776 1.96157 1.41421 0.39018 -0.76537 -1.66294 -2.00000 -1.66294 -0.76537 0.39018 1.41421 1.96157 1.84776 1.11114 0.00000 -1.11114 -1.84776 -1.96157 -1.41421 -0.39018 0.76537 1.66294 2.00000 0.00000 0.00000
11 2.00000 1.54602 0.39018 -0.94279 -1.84776 -1.91388 -1.11114 0.19603 1.41421 1.99037 1.66294 0.58057 -0.76537 -1.76384 -1.96157 -1.26879 0.00000 1.26879 1.96157 1.76384 0.76537 -0.58057 -1.66294 -1.99037 -1.41421 -0.19603 1.11114 1.91388 1.84776 0.94279 -0.39018 -1.54602 -2.00000 0.00000 0.00000
12 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 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 0.00000 0.00000
13 2.00000 1.26879 -0.39018 -1.76384 -1.84776 -0.58057 1.11114 1.99037 1.41421 -0.19603 -1.66294 -1.91388 -0.76537 0.94279 1.96157 1.54602 0.00000 -1.54602 -1.96157 -0.94279 0.76537 1.91388 1.66294 0.19603 -1.41421 -1.99037 -1.11114 0.58057 1.84776 1.76384 0.39018 -1.26879 -2.00000 0.00000 0.00000
14 2.00000 1.11114 -0.76537 -1.96157 -1.41421 0.39018 1.84776 1.66294 0.00000 -1.66294 -1.84776 -0.39018 1.41421 1.96157 0.76537 -1.11114 -2.00000 -1.11114 0.76537 1.96157 1.41421 -0.39018 -1.84776 -1.66294 0.00000 1.66294 1.84776 0.39018 -1.41421 -1.96157 -0.76537 1.11114 2.00000 0.00000 0.00000
15 2.00000 0.94279 -1.11114 -1.99037 -0.76537 1.26879 1.96157 0.58057 -1.41421 -1.91388 -0.39018 1.54602 1.84776 0.19603 -1.66294 -1.76384 0.00000 1.76384 1.66294 -0.19603 -1.84776 -1.54602 0.39018 1.91388 1.41421 -0.58057 -1.96157 -1.26879 0.76537 1.99037 1.11114 -0.94279 -2.00000 0.00000 0.00000
16 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 -0.76537 1.41421 1.84776 0.00000 -1.84776 -1.41421 0.76537 2.00000 0.00000 0.00000
17 2.00000 0.58057 -1.66294 -1.54602 0.76537 1.99037 0.39018 -1.76384 -1.41421 0.94279 1.96157 0.19603 -1.84776 -1.26879 1.11114 1.91388 0.00000 -1.91388 -1.11114 1.26879 1.84776 -0.19603 -1.96157 -0.94279 1.41421 1.76384 -0.39018 -1.99037 -0.76537 1.54602 1.66294 -0.58057 -2.00000 0.00000 0.00000
18 2.00000 0.39018 -1.84776 -1.11114 1.41421 1.66294 -0.76537 -1.96157 0.00000 1.96157 0.76537 -1.66294 -1.41421 1.11114 1.84776 -0.39018 -2.00000 -0.39018 1.84776 1.11114 -1.41421 -1.66294 0.76537 1.96157 0.00000 -1.96157 -0.76537 1.66294 1.41421 -1.11114 -1.84776 0.39018 2.00000 0.00000 0.00000
19 2.00000 0.19603 -1.96157 -0.58057 1.84776 0.94279 -1.66294 -1.26879 1.41421 1.54602 -1.11114 -1.76384 0.76537 1.91388 -0.39018 -1.99037 0.00000 1.99037 0.39018 -1.91388 -0.76537 1.76384 1.11114 -1.54602 -1.41421 1.26879 1.66294 -0.94279 -1.84776 0.58057 1.96157 -0.19603 -2.00000 0.00000 0.00000
20 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 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 0.00000
21 2.00000 -0.19603 -1.96157 0.58057 1.84776 -0.94279 -1.66294 1.26879 1.41421 -1.54602 -1.11114 1.76384 0.76537 -1.91388 -0.39018 1.99037 0.00000 -1.99037 0.39018 1.91388 -0.76537 -1.76384 1.11114 1.54602 -1.41421 -1.26879 1.66294 0.94279 -1.84776 -0.58057 1.96157 0.19603 -2.00000 0.00000 0.00000
22 2.00000 -0.39018 -1.84776 1.11114 1.41421 -1.66294 -0.76537 1.96157 0.00000 -1.96157 0.76537 1.66294 -1.41421 -1.11114 1.84776 0.39018 -2.00000 0.39018 1.84776 -1.11114 -1.41421 1.66294 0.76537 -1.96157 0.00000 1.96157 -0.76537 -1.66294 1.41421 1.11114 -1.84776 -0.39018 2.00000 0.00000 0.00000
23 2.00000 -0.58057 -1.66294 1.54602 0.76537 -1.99037 0.39018 1.76384 -1.41421 -0.94279 1.96157 -0.19603 -1.84776 1.26879 1.11114 -1.91388 0.00000 1.91388 -1.11114 -1.26879 1.84776 0.19603 -1.96157 0.94279 1.41421 -1.76384 -0.39018 1.99037 -0.76537 -1.54602 1.66294 0.58057 -2.00000 0.00000 0.00000
24 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 0.76537 1.41421 -1.84776 0.00000 1.84776 -1.41421 -0.76537 2.00000 0.00000 0.00000
25 2.00000 -0.94279 -1.11114 1.99037 -0.76537 -1.26879 1.96157 -0.58057 -1.41421 1.91388 -0.39018 -1.54602 1.84776 -0.19603 -1.66294 1.76384 0.00000 -1.76384 1.66294 0.19603 -1.84776 1.54602 0.39018 -1.91388 1.41421 0.58057 -1.96157 1.26879 0.76537 -1.99037 1.11114 0.94279 -2.00000 0.00000 0.00000
26 2.00000 -1.11114 -0.76537 1.96157 -1.41421 -0.39018 1.84776 -1.66294 0.00000 1.66294 -1.84776 0.39018 1.41421 -1.96157 0.76537 1.11114 -2.00000 1.11114 0.76537 -1.96157 1.41421 0.39018 -1.84776 1.66294 0.00000 -1.66294 1.84776 -0.39018 -1.41421 1.96157 -0.76537 -1.11114 2.00000 0.00000 0.00000
27 2.00000 -1.26879 -0.39018 1.76384 -1.84776 0.58057 1.11114 -1.99037 1.41421 0.19603 -1.66294 1.91388 -0.76537 -0.94279 1.96157 -1.54602 0.00000 1.54602 -1.96157 0.94279 0.76537 -1.91388 1.66294 -0.19603 -1.41421 1.99037 -1.11114 -0.58057 1.84776 -1.76384 0.39018 1.26879 -2.00000 0.00000 0.00000
28 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 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 0.00000 0.00000
29 2.00000 -1.54602 0.39018 0.94279 -1.84776 1.91388 -1.11114 -0.19603 1.41421 -1.99037 1.66294 -0.58057 -0.76537 1.76384 -1.96157 1.26879 0.00000 -1.26879 1.96157 -1.76384 0.76537 0.58057 -1.66294 1.99037 -1.41421 0.19603 1.11114 -1.91388 1.84776 -0.94279 -0.39018 1.54602 -2.00000 0.00000 0.00000
30 2.00000 -1.66294 0.76537 0.39018 -1.41421 1.96157 -1.84776 1.11114 0.00000 -1.11114 1.84776 -1.96157 1.41421 -0.39018 -0.76537 1.66294 -2.00000 1.66294 -0.76537 -0.39018 1.41421 -1.96157 1.84776 -1.11114 0.00000 1.11114 -1.84776 1.96157 -1.41421 0.39018 0.76537 -1.66294 2.00000 0.00000 0.00000
31 2.00000 -1.76384 1.11114 -0.19603 -0.76537 1.54602 -1.96157 1.91388 -1.41421 0.58057 0.39018 -1.26879 1.84776 -1.99037 1.66294 -0.94279 0.00000 0.94279 -1.66294 1.99037 -1.84776 1.26879 -0.39018 -0.58057 1.41421 -1.91388 1.96157 -1.54602 0.76537 0.19603 -1.11114 1.76384 -2.00000 0.00000 0.00000
32 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 1.84776 -1.41421 0.76537 0.00000 -0.76537 1.41421 -1.84776 2.00000 0.00000 0.00000
33 2.00000 -1.91388 1.66294 -1.26879 0.76537 -0.19603 -0.39018 0.94279 -1.41421 1.76384 -1.96157 1.99037 -1.84776 1.54602 -1.11114 0.58057 0.00000 -0.58057 1.11114 -1.54602 1.84776 -1.99037 1.96157 -1.76384 1.41421 -0.94279 0.39018 0.19603 -0.76537 1.26879 -1.66294 1.91388 -2.00000 0.00000 0.00000
34 2.00000 -1.96157 1.84776 -1.66294 1.41421 -1.11114 0.76537 -0.39018 0.00000 0.39018 -0.76537 1.11114 -1.41421 1.66294 -1.84776 1.96157 -2.00000 1.96157 -1.84776 1.66294 -1.41421 1.11114 -0.76537 0.39018 0.00000 -0.39018 0.76537 -1.11114 1.41421 -1.66294 1.84776 -1.96157 2.00000 0.00000 0.00000
35 2.00000 -1.99037 1.96157 -1.91388 1.84776 -1.76384 1.66294 -1.54602 1.41421 -1.26879 1.11114 -0.94279 0.76537 -0.58057 0.39018 -0.19603 0.00000 0.19603 -0.39018 0.58057 -0.76537 0.94279 -1.11114 1.26879 -1.41421 1.54602 -1.66294 1.76384 -1.84776 1.91388 -1.96157 1.99037 -2.00000 0.00000 0.00000