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α on both spaces has the matrix representation
92
1 4
√ 3
4 − √
3 4 −3
4
− √
3 4
1 4
3 4 − √
3 4√
3 4
3 4
1 4
√ 3
4
−3 4
√ 3
4 − √
3 4
1 4
.
The above matrix has 1 as an eigenvalue with multiplicity [...] b3(Mmin) b2(Mmax) b3(Mmax) (1, 1) 0 7 0 4 (1, 2) 0 15 0 4 (1, 3) 0 23 0 4 (1, 4) 8 15 0 4 (2, 2) 0 15 0 4 (2, 3) 0 23 0 4 (3, 3) 0 23 0 4 (3, 4) 0 23 0 4 (4, 4) 8 15 0 4
In particular, b2 and b3 are independent [...] Sε1,ε2,ε3,ε4 (Tε1,ε2,ε3,ε4 , Pε1,ε2,ε3,ε4 or Qε1,ε2,ε3,ε4) to 8 suborbifolds S̃ε1,ε2,ε3,ε4 (T̃ε1,ε2,ε3,ε4 , P̃ε1,ε2,ε3,ε4 or Q̃ε1,ε2,ε3,ε4) of T 7/Γ. Since all of the 3-tori in T 7 contain 4 circles that …
