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- joel@joel-laptop:~/Insync/Desktop/graphs$ time python3 drcubic.py
- intersection array
- [[3], [1]]
- left representation
- [Matrix([
- [1, 0],
- [0, 1]]), Matrix([
- [0, 1/3],
- [1, 2/3]])]
- irreducible characters
- Matrix([
- [1, -1/3],
- [1, 1]])
- intersection array
- [[3, 2], [1, 3]]
- left representation
- [Matrix([
- [1, 0, 0],
- [0, 1, 0],
- [0, 0, 1]]), Matrix([
- [0, 1/3, 0],
- [1, 0, 1],
- [0, 2/3, 0]]), Matrix([
- [0, 0, 1/2],
- [0, 1, 0],
- [1, 0, 1/2]])]
- irreducible characters
- Matrix([
- [1, -1, 1],
- [1, 0, -1/2],
- [1, 1, 1]])
- intersection array
- [[3, 2], [1, 1]]
- left representation
- [Matrix([
- [1, 0, 0],
- [0, 1, 0],
- [0, 0, 1]]), Matrix([
- [0, 1/3, 0],
- [1, 0, 1/3],
- [0, 2/3, 2/3]]), Matrix([
- [0, 0, 1/6],
- [0, 1/3, 1/3],
- [1, 2/3, 1/2]])]
- irreducible characters
- Matrix([
- [1, -2/3, 1/6],
- [1, 1/3, -1/3],
- [1, 1, 1]])
- intersection array
- [[3, 2, 1], [1, 2, 3]]
- left representation
- [Matrix([
- [1, 0, 0, 0],
- [0, 1, 0, 0],
- [0, 0, 1, 0],
- [0, 0, 0, 1]]), Matrix([
- [0, 1/3, 0, 0],
- [1, 0, 2/3, 0],
- [0, 2/3, 0, 1],
- [0, 0, 1/3, 0]]), Matrix([
- [0, 0, 1/3, 0],
- [0, 2/3, 0, 1],
- [1, 0, 2/3, 0],
- [0, 1/3, 0, 0]]), Matrix([
- [0, 0, 0, 1],
- [0, 0, 1, 0],
- [0, 1, 0, 0],
- [1, 0, 0, 0]])]
- irreducible characters
- Matrix([
- [1, -1, 1, -1],
- [1, -1/3, -1/3, 1],
- [1, 1/3, -1/3, -1],
- [1, 1, 1, 1]])
- intersection array
- [[3, 2, 2], [1, 1, 3]]
- left representation
- [Matrix([
- [1, 0, 0, 0],
- [0, 1, 0, 0],
- [0, 0, 1, 0],
- [0, 0, 0, 1]]), Matrix([
- [0, 1/3, 0, 0],
- [1, 0, 1/3, 0],
- [0, 2/3, 0, 1],
- [0, 0, 2/3, 0]]), Matrix([
- [0, 0, 1/6, 0],
- [0, 1/3, 0, 1/2],
- [1, 0, 5/6, 0],
- [0, 2/3, 0, 1/2]]), Matrix([
- [0, 0, 0, 1/4],
- [0, 0, 1/2, 0],
- [0, 1, 0, 3/4],
- [1, 0, 1/2, 0]])]
- irreducible characters
- Matrix([
- [1, -1, 1, -1],
- [1, 1, 1, 1],
- [1, -sqrt(2)/3, -1/6, sqrt(2)/4],
- [1, sqrt(2)/3, -1/6, -sqrt(2)/4]])
- intersection array
- [[3, 2, 2, 1], [1, 1, 2, 3]]
- left representation
- [Matrix([
- [1, 0, 0, 0, 0],
- [0, 1, 0, 0, 0],
- [0, 0, 1, 0, 0],
- [0, 0, 0, 1, 0],
- [0, 0, 0, 0, 1]]), Matrix([
- [0, 1/3, 0, 0, 0],
- [1, 0, 1/3, 0, 0],
- [0, 2/3, 0, 2/3, 0],
- [0, 0, 2/3, 0, 1],
- [0, 0, 0, 1/3, 0]]), Matrix([
- [0, 0, 1/6, 0, 0],
- [0, 1/3, 0, 1/3, 0],
- [1, 0, 1/2, 0, 1],
- [0, 2/3, 0, 2/3, 0],
- [0, 0, 1/3, 0, 0]]), Matrix([
- [0, 0, 0, 1/6, 0],
- [0, 0, 1/3, 0, 1/2],
- [0, 2/3, 0, 2/3, 0],
- [1, 0, 2/3, 0, 1/2],
- [0, 1/3, 0, 1/6, 0]]), Matrix([
- [0, 0, 0, 0, 1/2],
- [0, 0, 0, 1/2, 0],
- [0, 0, 1, 0, 0],
- [0, 1, 0, 1/2, 0],
- [1, 0, 0, 0, 1/2]])]
- irreducible characters
- Matrix([
- [1, -1, 1, -1, 1],
- [1, 0, -1/2, 0, 1],
- [1, 1, 1, 1, 1],
- [1, -sqrt(3)/3, 0, sqrt(3)/6, -1/2],
- [1, sqrt(3)/3, 0, -sqrt(3)/6, -1/2]])
- intersection array
- [[3, 2, 2, 1], [1, 1, 1, 2]]
- left representation
- [Matrix([
- [1, 0, 0, 0, 0],
- [0, 1, 0, 0, 0],
- [0, 0, 1, 0, 0],
- [0, 0, 0, 1, 0],
- [0, 0, 0, 0, 1]]), Matrix([
- [0, 1/3, 0, 0, 0],
- [1, 0, 1/3, 0, 0],
- [0, 2/3, 0, 1/3, 0],
- [0, 0, 2/3, 1/3, 2/3],
- [0, 0, 0, 1/3, 1/3]]), Matrix([
- [0, 0, 1/6, 0, 0],
- [0, 1/3, 0, 1/6, 0],
- [1, 0, 1/6, 1/6, 1/3],
- [0, 2/3, 1/3, 1/3, 2/3],
- [0, 0, 1/3, 1/3, 0]]), Matrix([
- [0, 0, 0, 1/12, 0],
- [0, 0, 1/6, 1/12, 1/6],
- [0, 1/3, 1/6, 1/6, 1/3],
- [1, 1/3, 1/3, 1/2, 1/3],
- [0, 1/3, 1/3, 1/6, 1/6]]), Matrix([
- [0, 0, 0, 0, 1/6],
- [0, 0, 0, 1/6, 1/6],
- [0, 0, 1/3, 1/3, 0],
- [0, 2/3, 2/3, 1/3, 1/3],
- [1, 1/3, 0, 1/6, 1/3]])]
- irreducible characters
- Matrix([
- [1, -1/3, -1/3, 1/3, -1/3],
- [1, 2/3, 1/6, -1/6, -1/3],
- [1, 1, 1, 1, 1],
- [1, -1/3 + sqrt(2)/3, -sqrt(2)/3, -1/6, sqrt(2)/6 + 1/3],
- [1, -sqrt(2)/3 - 1/3, sqrt(2)/3, -1/6, -sqrt(2)/6 + 1/3]])
- intersection array
- [[3, 2, 2, 2], [1, 1, 1, 3]]
- left representation
- [Matrix([
- [1, 0, 0, 0, 0],
- [0, 1, 0, 0, 0],
- [0, 0, 1, 0, 0],
- [0, 0, 0, 1, 0],
- [0, 0, 0, 0, 1]]), Matrix([
- [0, 1/3, 0, 0, 0],
- [1, 0, 1/3, 0, 0],
- [0, 2/3, 0, 1/3, 0],
- [0, 0, 2/3, 0, 1],
- [0, 0, 0, 2/3, 0]]), Matrix([
- [0, 0, 1/6, 0, 0],
- [0, 1/3, 0, 1/6, 0],
- [1, 0, 1/6, 0, 1/2],
- [0, 2/3, 0, 5/6, 0],
- [0, 0, 2/3, 0, 1/2]]), Matrix([
- [0, 0, 0, 1/12, 0],
- [0, 0, 1/6, 0, 1/4],
- [0, 1/3, 0, 5/12, 0],
- [1, 0, 5/6, 0, 3/4],
- [0, 2/3, 0, 1/2, 0]]), Matrix([
- [0, 0, 0, 0, 1/8],
- [0, 0, 0, 1/4, 0],
- [0, 0, 1/2, 0, 3/8],
- [0, 1, 0, 3/4, 0],
- [1, 0, 1/2, 0, 1/2]])]
- irreducible characters
- Matrix([
- [1, -1, 1, -1, 1],
- [1, -2/3, 1/6, 1/6, -1/4],
- [1, 0, -1/2, 0, 1/4],
- [1, 2/3, 1/6, -1/6, -1/4],
- [1, 1, 1, 1, 1]])
- intersection array
- [[3, 2, 1, 1, 1], [1, 1, 1, 2, 3]]
- left representation
- [Matrix([
- [1, 0, 0, 0, 0, 0],
- [0, 1, 0, 0, 0, 0],
- [0, 0, 1, 0, 0, 0],
- [0, 0, 0, 1, 0, 0],
- [0, 0, 0, 0, 1, 0],
- [0, 0, 0, 0, 0, 1]]), Matrix([
- [0, 1/3, 0, 0, 0, 0],
- [1, 0, 1/3, 0, 0, 0],
- [0, 2/3, 1/3, 1/3, 0, 0],
- [0, 0, 1/3, 1/3, 2/3, 0],
- [0, 0, 0, 1/3, 0, 1],
- [0, 0, 0, 0, 1/3, 0]]), Matrix([
- [0, 0, 1/6, 0, 0, 0],
- [0, 1/3, 1/6, 1/6, 0, 0],
- [1, 1/3, 1/6, 1/3, 1/3, 0],
- [0, 1/3, 1/3, 1/6, 1/3, 1],
- [0, 0, 1/6, 1/6, 1/3, 0],
- [0, 0, 0, 1/6, 0, 0]]), Matrix([
- [0, 0, 0, 1/6, 0, 0],
- [0, 0, 1/6, 1/6, 1/3, 0],
- [0, 1/3, 1/3, 1/6, 1/3, 1],
- [1, 1/3, 1/6, 1/3, 1/3, 0],
- [0, 1/3, 1/6, 1/6, 0, 0],
- [0, 0, 1/6, 0, 0, 0]]), Matrix([
- [0, 0, 0, 0, 1/3, 0],
- [0, 0, 0, 1/3, 0, 1],
- [0, 0, 1/3, 1/3, 2/3, 0],
- [0, 2/3, 1/3, 1/3, 0, 0],
- [1, 0, 1/3, 0, 0, 0],
- [0, 1/3, 0, 0, 0, 0]]), Matrix([
- [0, 0, 0, 0, 0, 1],
- [0, 0, 0, 0, 1, 0],
- [0, 0, 0, 1, 0, 0],
- [0, 0, 1, 0, 0, 0],
- [0, 1, 0, 0, 0, 0],
- [1, 0, 0, 0, 0, 0]])]
- irreducible characters
- Matrix([
- [1, -2/3, 1/6, 1/6, -2/3, 1],
- [1, 0, -1/2, 1/2, 0, -1],
- [1, 1/3, -1/3, -1/3, 1/3, 1],
- [1, 1, 1, 1, 1, 1],
- [1, -sqrt(5)/3, 1/3, -1/3, sqrt(5)/3, -1],
- [1, sqrt(5)/3, 1/3, -1/3, -sqrt(5)/3, -1]])
- intersection array
- [[3, 2, 2, 1, 1], [1, 1, 2, 2, 3]]
- left representation
- [Matrix([
- [1, 0, 0, 0, 0, 0],
- [0, 1, 0, 0, 0, 0],
- [0, 0, 1, 0, 0, 0],
- [0, 0, 0, 1, 0, 0],
- [0, 0, 0, 0, 1, 0],
- [0, 0, 0, 0, 0, 1]]), Matrix([
- [0, 1/3, 0, 0, 0, 0],
- [1, 0, 1/3, 0, 0, 0],
- [0, 2/3, 0, 2/3, 0, 0],
- [0, 0, 2/3, 0, 2/3, 0],
- [0, 0, 0, 1/3, 0, 1],
- [0, 0, 0, 0, 1/3, 0]]), Matrix([
- [0, 0, 1/6, 0, 0, 0],
- [0, 1/3, 0, 1/3, 0, 0],
- [1, 0, 1/2, 0, 2/3, 0],
- [0, 2/3, 0, 1/2, 0, 1],
- [0, 0, 1/3, 0, 1/3, 0],
- [0, 0, 0, 1/6, 0, 0]]), Matrix([
- [0, 0, 0, 1/6, 0, 0],
- [0, 0, 1/3, 0, 1/3, 0],
- [0, 2/3, 0, 1/2, 0, 1],
- [1, 0, 1/2, 0, 2/3, 0],
- [0, 1/3, 0, 1/3, 0, 0],
- [0, 0, 1/6, 0, 0, 0]]), Matrix([
- [0, 0, 0, 0, 1/3, 0],
- [0, 0, 0, 1/3, 0, 1],
- [0, 0, 2/3, 0, 2/3, 0],
- [0, 2/3, 0, 2/3, 0, 0],
- [1, 0, 1/3, 0, 0, 0],
- [0, 1/3, 0, 0, 0, 0]]), Matrix([
- [0, 0, 0, 0, 0, 1],
- [0, 0, 0, 0, 1, 0],
- [0, 0, 0, 1, 0, 0],
- [0, 0, 1, 0, 0, 0],
- [0, 1, 0, 0, 0, 0],
- [1, 0, 0, 0, 0, 0]])]
- irreducible characters
- Matrix([
- [1, -1, 1, -1, 1, -1],
- [1, -2/3, 1/6, 1/6, -2/3, 1],
- [1, -1/3, -1/3, 1/3, 1/3, -1],
- [1, 1/3, -1/3, -1/3, 1/3, 1],
- [1, 2/3, 1/6, -1/6, -2/3, -1],
- [1, 1, 1, 1, 1, 1]])
- intersection array
- [[3, 2, 2, 2, 1, 1, 1], [1, 1, 1, 1, 1, 1, 3]]
- left representation
- [Matrix([
- [1, 0, 0, 0, 0, 0, 0, 0],
- [0, 1, 0, 0, 0, 0, 0, 0],
- [0, 0, 1, 0, 0, 0, 0, 0],
- [0, 0, 0, 1, 0, 0, 0, 0],
- [0, 0, 0, 0, 1, 0, 0, 0],
- [0, 0, 0, 0, 0, 1, 0, 0],
- [0, 0, 0, 0, 0, 0, 1, 0],
- [0, 0, 0, 0, 0, 0, 0, 1]]), Matrix([
- [0, 1/3, 0, 0, 0, 0, 0, 0],
- [1, 0, 1/3, 0, 0, 0, 0, 0],
- [0, 2/3, 0, 1/3, 0, 0, 0, 0],
- [0, 0, 2/3, 0, 1/3, 0, 0, 0],
- [0, 0, 0, 2/3, 1/3, 1/3, 0, 0],
- [0, 0, 0, 0, 1/3, 1/3, 1/3, 0],
- [0, 0, 0, 0, 0, 1/3, 1/3, 1],
- [0, 0, 0, 0, 0, 0, 1/3, 0]]), Matrix([
- [0, 0, 1/6, 0, 0, 0, 0, 0],
- [0, 1/3, 0, 1/6, 0, 0, 0, 0],
- [1, 0, 1/6, 0, 1/6, 0, 0, 0],
- [0, 2/3, 0, 1/6, 1/6, 1/6, 0, 0],
- [0, 0, 2/3, 1/3, 1/6, 1/3, 1/6, 0],
- [0, 0, 0, 1/3, 1/3, 0, 1/3, 1/2],
- [0, 0, 0, 0, 1/6, 1/3, 1/3, 1/2],
- [0, 0, 0, 0, 0, 1/6, 1/6, 0]]), Matrix([
- [0, 0, 0, 1/12, 0, 0, 0, 0],
- [0, 0, 1/6, 0, 1/12, 0, 0, 0],
- [0, 1/3, 0, 1/12, 1/12, 1/12, 0, 0],
- [1, 0, 1/6, 1/6, 1/12, 1/6, 1/12, 0],
- [0, 2/3, 1/3, 1/6, 1/4, 1/6, 1/4, 1/4],
- [0, 0, 1/3, 1/3, 1/6, 1/6, 1/4, 1/2],
- [0, 0, 0, 1/6, 1/4, 1/4, 5/12, 0],
- [0, 0, 0, 0, 1/12, 1/6, 0, 1/4]]), Matrix([
- [0, 0, 0, 0, 1/24, 0, 0, 0],
- [0, 0, 0, 1/12, 1/24, 1/24, 0, 0],
- [0, 0, 1/6, 1/12, 1/24, 1/12, 1/24, 0],
- [0, 1/3, 1/6, 1/12, 1/8, 1/12, 1/8, 1/8],
- [1, 1/3, 1/6, 1/4, 5/24, 1/6, 1/4, 3/8],
- [0, 1/3, 1/3, 1/6, 1/6, 7/24, 7/24, 1/8],
- [0, 0, 1/6, 1/4, 1/4, 7/24, 1/6, 3/8],
- [0, 0, 0, 1/12, 1/8, 1/24, 1/8, 0]]), Matrix([
- [0, 0, 0, 0, 0, 1/24, 0, 0],
- [0, 0, 0, 0, 1/24, 1/24, 1/24, 0],
- [0, 0, 0, 1/12, 1/12, 0, 1/12, 1/8],
- [0, 0, 1/6, 1/6, 1/12, 1/12, 1/8, 1/4],
- [0, 1/3, 1/3, 1/6, 1/6, 7/24, 7/24, 1/8],
- [1, 1/3, 0, 1/6, 7/24, 7/24, 1/6, 1/4],
- [0, 1/3, 1/3, 1/4, 7/24, 1/6, 1/4, 1/8],
- [0, 0, 1/6, 1/6, 1/24, 1/12, 1/24, 1/8]]), Matrix([
- [0, 0, 0, 0, 0, 0, 1/24, 0],
- [0, 0, 0, 0, 0, 1/24, 1/24, 1/8],
- [0, 0, 0, 0, 1/24, 1/12, 1/12, 1/8],
- [0, 0, 0, 1/12, 1/8, 1/8, 5/24, 0],
- [0, 0, 1/6, 1/4, 1/4, 7/24, 1/6, 3/8],
- [0, 1/3, 1/3, 1/4, 7/24, 1/6, 1/4, 1/8],
- [1, 1/3, 1/3, 5/12, 1/6, 1/4, 1/8, 1/4],
- [0, 1/3, 1/6, 0, 1/8, 1/24, 1/12, 0]]), Matrix([
- [0, 0, 0, 0, 0, 0, 0, 1/8],
- [0, 0, 0, 0, 0, 0, 1/8, 0],
- [0, 0, 0, 0, 0, 1/8, 1/8, 0],
- [0, 0, 0, 0, 1/8, 1/4, 0, 3/8],
- [0, 0, 0, 1/4, 3/8, 1/8, 3/8, 0],
- [0, 0, 1/2, 1/2, 1/8, 1/4, 1/8, 3/8],
- [0, 1, 1/2, 0, 3/8, 1/8, 1/4, 0],
- [1, 0, 0, 1/4, 0, 1/8, 0, 1/8]])]
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