q=8 |G|=29120 number of representatives used=10 (all classes: True)
  y=2A: |Cl(y)|=455 |C(y)|=64 max tail of phi_y = 2 (direct check on witness: 2) time=0.0s
     witness x = [[3, 0, 0, 0], [0, 4, 0, 0], [0, 0, 7, 0], [0, 0, 0, 6]]  y = [[1, 0, 0, 0], [0, 1, 0, 0], [1, 0, 1, 0], [1, 1, 0, 1]]
  y=4A: |Cl(y)|=1820 |C(y)|=16 max tail of phi_y = 11 (direct check on witness: 11) time=0.0s
     witness x = [[1, 0, 4, 2], [0, 1, 0, 4], [0, 0, 1, 0], [0, 0, 0, 1]]  y = [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [1, 0, 1, 1]]
  y=4B: |Cl(y)|=1820 |C(y)|=16 max tail of phi_y = 8 (direct check on witness: 8) time=0.0s
     witness x = [[6, 0, 4, 3], [0, 7, 0, 3], [0, 0, 4, 0], [0, 0, 0, 3]]  y = [[1, 0, 0, 0], [1, 1, 0, 0], [0, 1, 1, 0], [1, 1, 1, 1]]
  y=T(q-1)^1 orbit=[1, 6]: |Cl(y)|=4160 |C(y)|=7 max tail of phi_y = 56 (direct check on witness: 56) time=0.0s
     witness x = [[5, 0, 5, 5], [4, 6, 4, 2], [7, 4, 4, 3], [5, 4, 0, 3]]  y = [[3, 0, 0, 0], [0, 4, 0, 0], [0, 0, 7, 0], [0, 0, 0, 6]]
  y=T(q-1)^2 orbit=[2, 5]: |Cl(y)|=4160 |C(y)|=7 max tail of phi_y = 56 (direct check on witness: 56) time=0.0s
     witness x = [[3, 0, 3, 3], [7, 4, 7, 3], [4, 3, 3, 7], [1, 5, 0, 2]]  y = [[5, 0, 0, 0], [0, 6, 0, 0], [0, 0, 3, 0], [0, 0, 0, 2]]
  y=T(q-1)^3 orbit=[3, 4]: |Cl(y)|=4160 |C(y)|=7 max tail of phi_y = 56 (direct check on witness: 56) time=0.0s
     witness x = [[1, 0, 1, 1], [5, 1, 5, 4], [2, 3, 3, 1], [5, 6, 0, 2]]  y = [[4, 0, 0, 0], [0, 5, 0, 0], [0, 0, 2, 0], [0, 0, 0, 7]]
  y=T(13)^1 orbit=[1, 5, 8, 12]: |Cl(y)|=2240 |C(y)|=13 max tail of phi_y = 27 (direct check on witness: 27) time=0.0s
     witness x = [[4, 0, 0, 0], [1, 5, 0, 0], [7, 7, 2, 0], [4, 7, 5, 7]]  y = [[6, 5, 7, 7], [7, 6, 0, 2], [7, 5, 2, 7], [4, 0, 7, 1]]
  y=T(13)^2 orbit=[2, 3, 10, 11]: |Cl(y)|=2240 |C(y)|=13 max tail of phi_y = 27 (direct check on witness: 27) time=0.0s
     witness x = [[1, 0, 1, 1], [1, 1, 1, 0], [0, 1, 1, 1], [1, 1, 0, 1]]  y = [[6, 6, 2, 1], [3, 4, 6, 6], [6, 4, 4, 0], [2, 4, 3, 3]]
  y=T(13)^4 orbit=[4, 6, 7, 9]: |Cl(y)|=2240 |C(y)|=13 max tail of phi_y = 27 (direct check on witness: 27) time=0.0s
     witness x = [[5, 0, 0, 0], [5, 6, 0, 0], [7, 6, 3, 0], [6, 5, 3, 2]]  y = [[6, 0, 5, 7], [3, 7, 7, 7], [0, 2, 4, 3], [7, 1, 3, 2]]
  y=T(5)^1 orbit=[1, 2, 3, 4]: |Cl(y)|=5824 |C(y)|=5 max tail of phi_y = 62 (direct check on witness: 62) time=0.1s
     witness x = [[1, 0, 1, 1], [0, 1, 0, 1], [0, 0, 1, 0], [0, 0, 0, 1]]  y = [[2, 5, 0, 3], [4, 2, 4, 7], [5, 7, 3, 0], [1, 7, 7, 2]]
sum of class sizes over nonidentity classes + 1 = 29120 (|G| = 29120)
mu(Sz(8)) = 62 (over the representatives used)
