q=32 |G|=32537600 number of representatives used=34 (all classes: True)
  y=2A: |Cl(y)|=31775 |C(y)|=1024 max tail of phi_y = 2 (direct check on witness: 2) time=0.2s
     witness x = [[5, 0, 0, 0], [0, 16, 0, 0], [0, 0, 11, 0], [0, 0, 0, 23]]  y = [[1, 0, 0, 0], [0, 1, 0, 0], [1, 0, 1, 0], [1, 1, 0, 1]]
  y=4A: |Cl(y)|=508400 |C(y)|=64 max tail of phi_y = 101 (direct check on witness: 101) time=4.2s
     witness x = [[24, 11, 10, 17], [25, 14, 11, 15], [30, 12, 6, 0], [25, 0, 12, 27]]  y = [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [1, 0, 1, 1]]
  y=4B: |Cl(y)|=508400 |C(y)|=64 max tail of phi_y = 103 (direct check on witness: 103) time=4.2s
     witness x = [[17, 0, 29, 7], [7, 13, 31, 0], [6, 27, 0, 0], [12, 0, 0, 0]]  y = [[1, 0, 0, 0], [1, 1, 0, 0], [0, 1, 1, 0], [1, 1, 1, 1]]
  y=T(q-1)^1 orbit=[1, 30]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 303 (direct check on witness: 303) time=9.0s
     witness x = [[30, 19, 6, 10], [8, 23, 15, 24], [1, 31, 30, 30], [19, 12, 20, 24]]  y = [[5, 0, 0, 0], [0, 16, 0, 0], [0, 0, 11, 0], [0, 0, 0, 23]]
  y=T(q-1)^2 orbit=[2, 29]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 303 (direct check on witness: 303) time=8.8s
     witness x = [[29, 19, 4, 30], [18, 1, 10, 6], [15, 13, 20, 30], [21, 29, 1, 29]]  y = [[17, 0, 0, 0], [0, 13, 0, 0], [0, 0, 15, 0], [0, 0, 0, 24]]
  y=T(q-1)^3 orbit=[3, 28]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 323 (direct check on witness: 323) time=9.0s
     witness x = [[2, 3, 13, 21], [7, 2, 5, 26], [21, 20, 29, 18], [18, 29, 3, 22]]  y = [[31, 0, 0, 0], [0, 14, 0, 0], [0, 0, 6, 0], [0, 0, 0, 27]]
  y=T(q-1)^4 orbit=[4, 27]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 303 (direct check on witness: 303) time=8.9s
     witness x = [[1, 8, 7, 24], [21, 24, 26, 2], [24, 6, 30, 30], [26, 24, 1, 25]]  y = [[12, 0, 0, 0], [0, 27, 0, 0], [0, 0, 31, 0], [0, 0, 0, 7]]
  y=T(q-1)^5 orbit=[5, 26]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 442 (direct check on witness: 442) time=8.8s
     witness x = [[4, 21, 28, 9], [21, 26, 2, 23], [28, 2, 19, 30], [9, 23, 30, 6]]  y = [[25, 0, 0, 0], [0, 12, 0, 0], [0, 0, 7, 0], [0, 0, 0, 10]]
  y=T(q-1)^6 orbit=[6, 25]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 323 (direct check on witness: 323) time=8.9s
     witness x = [[10, 31, 14, 31], [28, 18, 30, 20], [30, 1, 1, 20], [11, 2, 23, 24]]  y = [[18, 0, 0, 0], [0, 30, 0, 0], [0, 0, 20, 0], [0, 0, 0, 2]]
  y=T(q-1)^7 orbit=[7, 24]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 323 (direct check on witness: 323) time=8.9s
     witness x = [[5, 3, 19, 24], [26, 5, 7, 20], [30, 15, 21, 26], [15, 16, 21, 17]]  y = [[16, 0, 0, 0], [0, 22, 0, 0], [0, 0, 8, 0], [0, 0, 0, 11]]
  y=T(q-1)^8 orbit=[8, 23]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 303 (direct check on witness: 303) time=9.0s
     witness x = [[10, 14, 22, 19], [30, 21, 9, 28], [1, 11, 10, 10], [14, 5, 25, 28]]  y = [[26, 0, 0, 0], [0, 2, 0, 0], [0, 0, 18, 0], [0, 0, 0, 21]]
  y=T(q-1)^9 orbit=[9, 22]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 442 (direct check on witness: 442) time=8.7s
     witness x = [[29, 22, 22, 17], [9, 11, 16, 11], [10, 14, 23, 9], [12, 5, 18, 18]]  y = [[29, 0, 0, 0], [0, 5, 0, 0], [0, 0, 23, 0], [0, 0, 0, 19]]
  y=T(q-1)^10 orbit=[10, 21]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 442 (direct check on witness: 442) time=8.7s
     witness x = [[16, 28, 23, 11], [28, 3, 4, 24], [23, 4, 8, 19], [11, 24, 19, 20]]  y = [[6, 0, 0, 0], [0, 26, 0, 0], [0, 0, 21, 0], [0, 0, 0, 14]]
  y=T(q-1)^11 orbit=[11, 20]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 442 (direct check on witness: 442) time=8.7s
     witness x = [[1, 21, 31, 9], [11, 2, 31, 8], [9, 30, 17, 4], [19, 19, 20, 21]]  y = [[30, 0, 0, 0], [0, 28, 0, 0], [0, 0, 3, 0], [0, 0, 0, 20]]
  y=T(q-1)^12 orbit=[12, 19]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 323 (direct check on witness: 323) time=8.8s
     witness x = [[13, 14, 3, 17], [14, 2, 2, 31], [27, 27, 22, 22], [14, 13, 13, 31]]  y = [[9, 0, 0, 0], [0, 19, 0, 0], [0, 0, 29, 0], [0, 0, 0, 4]]
  y=T(q-1)^13 orbit=[13, 18]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 442 (direct check on witness: 442) time=8.7s
     witness x = [[25, 14, 28, 18], [14, 30, 27, 21], [28, 27, 12, 7], [18, 21, 7, 2]]  y = [[8, 0, 0, 0], [0, 24, 0, 0], [0, 0, 17, 0], [0, 0, 0, 22]]
  y=T(q-1)^14 orbit=[14, 17]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 323 (direct check on witness: 323) time=8.9s
     witness x = [[7, 9, 25, 25], [4, 19, 11, 7], [12, 17, 10, 8], [2, 19, 12, 6]]  y = [[13, 0, 0, 0], [0, 25, 0, 0], [0, 0, 10, 0], [0, 0, 0, 15]]
  y=T(q-1)^15 orbit=[15, 16]: |Cl(y)|=1049600 |C(y)|=31 max tail of phi_y = 303 (direct check on witness: 303) time=9.1s
     witness x = [[10, 7, 5, 1], [31, 11, 17, 18], [11, 26, 9, 29], [11, 18, 2, 2]]  y = [[28, 0, 0, 0], [0, 9, 0, 0], [0, 0, 4, 0], [0, 0, 0, 3]]
  y=T(41)^1 orbit=[1, 9, 32, 40]: |Cl(y)|=793600 |C(y)|=41 max tail of phi_y = 293 (direct check on witness: 293) time=6.7s
     witness x = [[5, 0, 0, 0], [8, 16, 0, 0], [3, 6, 11, 0], [27, 0, 25, 23]]  y = [[6, 8, 7, 25], [1, 5, 10, 4], [21, 4, 5, 3], [25, 10, 26, 24]]
  y=T(41)^2 orbit=[2, 18, 23, 39]: |Cl(y)|=793600 |C(y)|=41 max tail of phi_y = 293 (direct check on witness: 293) time=6.9s
     witness x = [[26, 21, 0, 31], [18, 12, 14, 28], [6, 31, 11, 3], [21, 7, 6, 1]]  y = [[30, 5, 27, 15], [30, 25, 0, 28], [16, 7, 19, 9], [8, 29, 4, 7]]
  y=T(41)^3 orbit=[3, 14, 27, 38]: |Cl(y)|=793600 |C(y)|=41 max tail of phi_y = 334 (direct check on witness: 334) time=6.8s
     witness x = [[21, 15, 9, 11], [16, 23, 19, 29], [28, 12, 13, 18], [15, 9, 7, 7]]  y = [[12, 16, 13, 3], [3, 31, 4, 0], [10, 25, 13, 3], [19, 15, 9, 3]]
  y=T(41)^4 orbit=[4, 5, 36, 37]: |Cl(y)|=793600 |C(y)|=41 max tail of phi_y = 293 (direct check on witness: 293) time=6.7s
     witness x = [[31, 11, 22, 10], [13, 2, 7, 0], [24, 7, 22, 10], [11, 9, 17, 10]]  y = [[1, 26, 7, 13], [11, 4, 5, 17], [28, 7, 5, 16], [8, 5, 28, 8]]
  y=T(41)^6 orbit=[6, 13, 28, 35]: |Cl(y)|=793600 |C(y)|=41 max tail of phi_y = 334 (direct check on witness: 334) time=6.7s
     witness x = [[30, 8, 17, 8], [29, 2, 0, 29], [27, 0, 27, 0], [12, 12, 0, 12]]  y = [[2, 13, 28, 6], [29, 12, 21, 9], [20, 30, 22, 12], [27, 18, 17, 14]]
  y=T(41)^7 orbit=[7, 19, 22, 34]: |Cl(y)|=793600 |C(y)|=41 max tail of phi_y = 334 (direct check on witness: 334) time=6.7s
     witness x = [[31, 0, 0, 0], [0, 14, 0, 0], [7, 0, 6, 0], [29, 13, 0, 27]]  y = [[13, 10, 6, 29], [27, 4, 17, 4], [18, 29, 28, 27], [10, 27, 9, 1]]
  y=T(41)^8 orbit=[8, 10, 31, 33]: |Cl(y)|=793600 |C(y)|=41 max tail of phi_y = 293 (direct check on witness: 293) time=6.7s
     witness x = [[7, 29, 5, 5], [12, 16, 16, 0], [11, 11, 0, 0], [23, 0, 0, 0]]  y = [[29, 20, 25, 19], [29, 17, 30, 24], [31, 8, 7, 14], [23, 9, 20, 1]]
  y=T(41)^11 orbit=[11, 17, 24, 30]: |Cl(y)|=793600 |C(y)|=41 max tail of phi_y = 334 (direct check on witness: 334) time=6.8s
     witness x = [[26, 15, 15, 5], [18, 30, 16, 0], [18, 1, 10, 6], [29, 19, 4, 30]]  y = [[24, 10, 20, 28], [24, 5, 31, 8], [18, 16, 29, 31], [11, 3, 31, 6]]
  y=T(41)^12 orbit=[12, 15, 26, 29]: |Cl(y)|=793600 |C(y)|=41 max tail of phi_y = 334 (direct check on witness: 334) time=6.9s
     witness x = [[21, 4, 2, 25], [4, 14, 23, 26], [25, 28, 30, 9], [23, 11, 28, 7]]  y = [[13, 5, 23, 3], [3, 6, 7, 17], [12, 29, 24, 19], [10, 23, 16, 10]]
  y=T(41)^16 orbit=[16, 20, 21, 25]: |Cl(y)|=793600 |C(y)|=41 max tail of phi_y = 293 (direct check on witness: 293) time=6.9s
     witness x = [[1, 1, 0, 1], [1, 0, 1, 0], [0, 1, 0, 0], [1, 0, 0, 0]]  y = [[26, 2, 23, 14], [30, 25, 3, 29], [25, 5, 2, 29], [22, 17, 14, 15]]
  y=T(25)^1 orbit=[1, 7, 18, 24]: |Cl(y)|=1301504 |C(y)|=25 max tail of phi_y = 527 (direct check on witness: 527) time=11.4s
     witness x = [[3, 19, 7, 2], [31, 25, 20, 0], [8, 30, 0, 0], [18, 0, 0, 0]]  y = [[10, 10, 18, 22], [22, 17, 31, 17], [7, 5, 30, 19], [1, 21, 13, 30]]
  y=T(25)^2 orbit=[2, 11, 14, 23]: |Cl(y)|=1301504 |C(y)|=25 max tail of phi_y = 527 (direct check on witness: 527) time=11.2s
     witness x = [[17, 17, 2, 18], [11, 6, 14, 4], [24, 20, 13, 21], [8, 4, 15, 6]]  y = [[1, 3, 23, 16], [26, 10, 28, 31], [20, 8, 23, 18], [20, 11, 24, 30]]
  y=T(25)^3 orbit=[3, 4, 21, 22]: |Cl(y)|=1301504 |C(y)|=25 max tail of phi_y = 527 (direct check on witness: 527) time=11.3s
     witness x = [[12, 8, 8, 27], [5, 29, 22, 19], [2, 19, 13, 2], [5, 21, 2, 31]]  y = [[15, 10, 30, 24], [22, 13, 16, 14], [5, 25, 27, 13], [30, 30, 18, 29]]
  y=T(25)^5 orbit=[5, 10, 15, 20]: |Cl(y)|=1301504 |C(y)|=25 max tail of phi_y = 249 (direct check on witness: 249) time=11.2s
     witness x = [[5, 5, 0, 5], [21, 5, 16, 5], [16, 11, 16, 0], [2, 14, 16, 5]]  y = [[7, 7, 4, 1], [4, 27, 1, 0], [29, 24, 27, 29], [8, 0, 5, 6]]
  y=T(25)^6 orbit=[6, 8, 17, 19]: |Cl(y)|=1301504 |C(y)|=25 max tail of phi_y = 527 (direct check on witness: 527) time=11.3s
     witness x = [[17, 26, 15, 12], [26, 0, 20, 12], [17, 27, 15, 16], [10, 26, 7, 7]]  y = [[3, 10, 28, 13], [22, 31, 29, 22], [25, 16, 22, 22], [7, 26, 6, 26]]
  y=T(25)^9 orbit=[9, 12, 13, 16]: |Cl(y)|=1301504 |C(y)|=25 max tail of phi_y = 527 (direct check on witness: 527) time=11.5s
     witness x = [[3, 23, 0, 5], [25, 0, 16, 0], [0, 11, 0, 0], [23, 0, 0, 0]]  y = [[24, 21, 11, 3], [28, 18, 7, 26], [13, 2, 25, 6], [24, 24, 17, 30]]
sum of class sizes over nonidentity classes + 1 = 32537600 (|G| = 32537600)
mu(Sz(32)) = 527 (over the representatives used)
