q=37 (l=37 f=1) OK  [1.2s]
   L21                          ok  |C(U)|=37 (q=37) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 18, 19: 19}
   L24b P4                      ok  involutions=703, V4 total=2109, |S-class of V|=2109, |N_S(V)|=12, |PGL-class|=2109; beta in delta normalizing V: 12, trivial on N_S(V)/V: 0
q=41 (l=41 f=1) OK  [1.1s]
   L21                          ok  |C(U)|=41 (q=41) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 21, 5: 20, 7: 21}
   P4 (two classes fused)       ok  involutions=861, V4 total=2870, |S-class of V|=1435, |N_S(V)|=24, |PGL-class|=2870
q=43 (l=43 f=1) OK  [2.0s]
   L21                          ok  |C(U)|=43 (q=43) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 21, 7: 21, 11: 22}
   L24b P4                      ok  involutions=903, V4 total=3311, |S-class of V|=3311, |N_S(V)|=12, |PGL-class|=3311; beta in delta normalizing V: 12, trivial on N_S(V)/V: 0
q=47 (l=47 f=1) OK  [1.6s]
   L21                          ok  |C(U)|=47 (q=47) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 24, 23: 23}
   P4 (two classes fused)       ok  involutions=1081, V4 total=4324, |S-class of V|=2162, |N_S(V)|=24, |PGL-class|=4324
q=49 (l=7 f=2) OK  [3.4s]
   L21                          ok  |C(U)|=49 (q=49) non-translations=0
   L22 eps=0,j=1,r=2            ok  beta in c normalizing U: 1176 (expect 1176); trivial on B/U: 0
   L23 eps=0,j=1,r=2            ok  claim t=5; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [5]
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 24, 5: 25}
   L22 eps=1,j=1,r=2            ok  beta in c normalizing U: 1176 (expect 1176); trivial on B/U: 0
   L23 eps=1,j=1,r=2            ok  claim t=5; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [5]
   P5 j=1                       ok  j=1 r=2: |C_PGL(sigma^j)|=336 (|PGL(2,7)|=336); #order-r in coset=350 (|PGL|/|C|=350); involutions in delta*phi_0: 0
   P4 (two classes fused)       ok  involutions=1225, V4 total=4900, |S-class of V|=2450, |N_S(V)|=24, |PGL-class|=4900
q=53 (l=53 f=1) OK  [3.4s]
   L21                          ok  |C(U)|=53 (q=53) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 27, 13: 26}
   L24b P4                      ok  involutions=1431, V4 total=6201, |S-class of V|=6201, |N_S(V)|=12, |PGL-class|=6201; beta in delta normalizing V: 12, trivial on N_S(V)/V: 0
q=59 (l=59 f=1) OK  [5.2s]
   L21                          ok  |C(U)|=59 (q=59) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 30, 5: 30, 29: 29}
   L24b P4                      ok  involutions=1711, V4 total=8555, |S-class of V|=8555, |N_S(V)|=12, |PGL-class|=8555; beta in delta normalizing V: 12, trivial on N_S(V)/V: 0
q=61 (l=61 f=1) OK  [5.4s]
   L21                          ok  |C(U)|=61 (q=61) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 30, 5: 30, 31: 31}
   L24b P4                      ok  involutions=1891, V4 total=9455, |S-class of V|=9455, |N_S(V)|=12, |PGL-class|=9455; beta in delta normalizing V: 12, trivial on N_S(V)/V: 0
q=64 (l=2 f=6) OK  [15.8s]
   L21                          ok  |C(U)|=64 (q=64) non-translations=0
   L22 eps=0,j=2,r=3            ok  beta in c normalizing U: 4032 (expect 4032); trivial on B/U: 0
   L23 eps=0,j=2,r=3            ok  claim t=13; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [7, 13]
   L22 eps=0,j=3,r=2            ok  beta in c normalizing U: 4032 (expect 4032); trivial on B/U: 0
   L23 eps=0,j=3,r=2            ok  claim t=13; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [5, 13]
   L22 eps=0,j=4,r=3            ok  beta in c normalizing U: 4032 (expect 4032); trivial on B/U: 0
   L23 eps=0,j=4,r=3            ok  claim t=13; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [7, 13]
   P5 j=2                       ok  j=2 r=3: |C_PGL(sigma^j)|=60 (|PGL(2,4)|=60); #order-r in coset=4368 (|PGL|/|C|=4368)
   P5 j=3                       ok  j=3 r=2: |C_PGL(sigma^j)|=504 (|PGL(2,8)|=504); #order-r in coset=520 (|PGL|/|C|=520)
   P5 j=4                       ok  j=4 r=3: |C_PGL(sigma^j)|=60 (|PGL(2,4)|=60); #order-r in coset=4368 (|PGL|/|C|=4368)
q=67 (l=67 f=1) OK  [7.5s]
   L21                          ok  |C(U)|=67 (q=67) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 33, 11: 33, 17: 34}
   L24b P4                      ok  involutions=2211, V4 total=12529, |S-class of V|=12529, |N_S(V)|=12, |PGL-class|=12529; beta in delta normalizing V: 12, trivial on N_S(V)/V: 0
q=71 (l=71 f=1) OK  [5.8s]
   L21                          ok  |C(U)|=71 (q=71) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 36, 5: 35, 7: 35}
   P4 (two classes fused)       ok  involutions=2485, V4 total=14910, |S-class of V|=7455, |N_S(V)|=24, |PGL-class|=14910
q=73 (l=73 f=1) OK  [5.8s]
   L21                          ok  |C(U)|=73 (q=73) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 36, 37: 37}
   P4 (two classes fused)       ok  involutions=2701, V4 total=16206, |S-class of V|=8103, |N_S(V)|=24, |PGL-class|=16206
q=79 (l=79 f=1) OK  [8.0s]
   L21                          ok  |C(U)|=79 (q=79) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 39, 5: 40, 13: 39}
   P4 (two classes fused)       ok  involutions=3081, V4 total=20540, |S-class of V|=10270, |N_S(V)|=24, |PGL-class|=20540
q=81 (l=3 f=4) OK  [17.8s]
   L21                          ok  |C(U)|=81 (q=81) non-translations=0
   L22 eps=0,j=2,r=2            ok  beta in c normalizing U: 3240 (expect 3240); trivial on B/U: 0
   L23 eps=0,j=2,r=2            ok  claim t=41; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [41]
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {5: 40, 41: 41}
   L22 eps=1,j=2,r=2            ok  beta in c normalizing U: 3240 (expect 3240); trivial on B/U: 0
   L23 eps=1,j=2,r=2            ok  claim t=41; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [41]
   P5 j=2                       ok  j=2 r=2: |C_PGL(sigma^j)|=720 (|PGL(2,9)|=720); #order-r in coset=738 (|PGL|/|C|=738); involutions in delta*phi_0: 0
   P4 (two classes fused)       ok  involutions=3321, V4 total=22140, |S-class of V|=11070, |N_S(V)|=24, |PGL-class|=22140
q=83 (l=83 f=1) OK  [14.6s]
   L21                          ok  |C(U)|=83 (q=83) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 42, 7: 42, 41: 41}
   L24b P4                      ok  involutions=3403, V4 total=23821, |S-class of V|=23821, |N_S(V)|=12, |PGL-class|=23821; beta in delta normalizing V: 12, trivial on N_S(V)/V: 0
q=89 (l=89 f=1) OK  [11.3s]
   L21                          ok  |C(U)|=89 (q=89) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 45, 5: 45, 11: 44}
   P4 (two classes fused)       ok  involutions=4005, V4 total=29370, |S-class of V|=14685, |N_S(V)|=24, |PGL-class|=29370
q=97 (l=97 f=1) OK  [13.6s]
   L21                          ok  |C(U)|=97 (q=97) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 48, 7: 49}
   P4 (two classes fused)       ok  involutions=4753, V4 total=38024, |S-class of V|=19012, |N_S(V)|=24, |PGL-class|=38024
q=101 (l=101 f=1) OK  [25.0s]
   L21                          ok  |C(U)|=101 (q=101) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 51, 5: 50, 17: 51}
   L24b P4                      ok  involutions=5151, V4 total=42925, |S-class of V|=42925, |N_S(V)|=12, |PGL-class|=42925; beta in delta normalizing V: 12, trivial on N_S(V)/V: 0
q=103 (l=103 f=1) OK  [17.9s]
   L21                          ok  |C(U)|=103 (q=103) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 51, 13: 52, 17: 51}
   P4 (two classes fused)       ok  involutions=5253, V4 total=45526, |S-class of V|=22763, |N_S(V)|=24, |PGL-class|=45526
q=107 (l=107 f=1) OK  [30.1s]
   L21                          ok  |C(U)|=107 (q=107) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 54, 53: 53}
   L24b P4                      ok  involutions=5671, V4 total=51039, |S-class of V|=51039, |N_S(V)|=12, |PGL-class|=51039; beta in delta normalizing V: 12, trivial on N_S(V)/V: 0
q=109 (l=109 f=1) OK  [31.6s]
   L21                          ok  |C(U)|=109 (q=109) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 54, 5: 55, 11: 55}
   L24b P4                      ok  involutions=5995, V4 total=53955, |S-class of V|=53955, |N_S(V)|=12, |PGL-class|=53955; beta in delta normalizing V: 12, trivial on N_S(V)/V: 0
q=113 (l=113 f=1) OK  [23.3s]
   L21                          ok  |C(U)|=113 (q=113) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 57, 7: 56, 19: 57}
   P4 (two classes fused)       ok  involutions=6441, V4 total=60116, |S-class of V|=30058, |N_S(V)|=24, |PGL-class|=60116
q=121 (l=11 f=2) OK  [55.1s]
   L21                          ok  |C(U)|=121 (q=121) non-translations=0
   L22 eps=0,j=1,r=2            ok  beta in c normalizing U: 7260 (expect 7260); trivial on B/U: 0
   L23 eps=0,j=1,r=2            ok  claim t=61; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [61]
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 60, 5: 60, 61: 61}
   L22 eps=1,j=1,r=2            ok  beta in c normalizing U: 7260 (expect 7260); trivial on B/U: 0
   L23 eps=1,j=1,r=2            ok  claim t=61; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [61]
   P5 j=1                       ok  j=1 r=2: |C_PGL(sigma^j)|=1320 (|PGL(2,11)|=1320); #order-r in coset=1342 (|PGL|/|C|=1342); involutions in delta*phi_0: 0
   P4 (two classes fused)       ok  involutions=7381, V4 total=73810, |S-class of V|=36905, |N_S(V)|=24, |PGL-class|=73810
q=125 (l=5 f=3) OK  [91.9s]
   L21                          ok  |C(U)|=125 (q=125) non-translations=0
   L22 eps=0,j=1,r=3            ok  beta in c normalizing U: 7750 (expect 7750); trivial on B/U: 0
   L23 eps=0,j=1,r=3            ok  claim t=31; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [7, 31]
   L22 eps=0,j=2,r=3            ok  beta in c normalizing U: 7750 (expect 7750); trivial on B/U: 0
   L23 eps=0,j=2,r=3            ok  claim t=31; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [7, 31]
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 63, 7: 63, 31: 62}
   P5 j=1                       ok  j=1 r=3: |C_PGL(sigma^j)|=120 (|PGL(2,5)|=120); #order-r in coset=16275 (|PGL|/|C|=16275)
   P5 j=2                       ok  j=2 r=3: |C_PGL(sigma^j)|=120 (|PGL(2,5)|=120); #order-r in coset=16275 (|PGL|/|C|=16275)
   L24b P4                      ok  involutions=7875, V4 total=81375, |S-class of V|=81375, |N_S(V)|=12, |PGL-class|=81375; beta in delta normalizing V: 12, trivial on N_S(V)/V: 0
q=127 (l=127 f=1) OK  [31.7s]
   L21                          ok  |C(U)|=127 (q=127) non-translations=0
   L24a                         ok  beta in delta centralizing U: 0
   delta-cent-Sylow             ok  beta in delta centralizing Sylow t (odd t != l): {3: 63, 7: 63}
   P4 (two classes fused)       ok  involutions=8001, V4 total=85344, |S-class of V|=42672, |N_S(V)|=24, |PGL-class|=85344
q=128 (l=2 f=7) OK  [300.6s]
   L21                          ok  |C(U)|=128 (q=128) non-translations=0
   L22 eps=0,j=1,r=7            ok  beta in c normalizing U: 16256 (expect 16256); trivial on B/U: 0
   L23 eps=0,j=1,r=7            ok  claim t=43; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [43, 127]
   L22 eps=0,j=2,r=7            ok  beta in c normalizing U: 16256 (expect 16256); trivial on B/U: 0
   L23 eps=0,j=2,r=7            ok  claim t=43; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [43, 127]
   L22 eps=0,j=3,r=7            ok  beta in c normalizing U: 16256 (expect 16256); trivial on B/U: 0
   L23 eps=0,j=3,r=7            ok  claim t=43; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [43, 127]
   L22 eps=0,j=4,r=7            ok  beta in c normalizing U: 16256 (expect 16256); trivial on B/U: 0
   L23 eps=0,j=4,r=7            ok  claim t=43; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [43, 127]
   L22 eps=0,j=5,r=7            ok  beta in c normalizing U: 16256 (expect 16256); trivial on B/U: 0
   L23 eps=0,j=5,r=7            ok  claim t=43; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [43, 127]
   L22 eps=0,j=6,r=7            ok  beta in c normalizing U: 16256 (expect 16256); trivial on B/U: 0
   L23 eps=0,j=6,r=7            ok  claim t=43; (b1)-primes t' (odd, not l, not r) with no beta in c centralizing Q_t': [43, 127]
   P5 j=1                       ok  j=1 r=7: |C_PGL(sigma^j)|=6 (|PGL(2,2)|=6); #order-r in coset=349504 (|PGL|/|C|=349504)
   P5 j=2                       ok  j=2 r=7: |C_PGL(sigma^j)|=6 (|PGL(2,2)|=6); #order-r in coset=349504 (|PGL|/|C|=349504)
   P5 j=3                       ok  j=3 r=7: |C_PGL(sigma^j)|=6 (|PGL(2,2)|=6); #order-r in coset=349504 (|PGL|/|C|=349504)
   P5 j=4                       ok  j=4 r=7: |C_PGL(sigma^j)|=6 (|PGL(2,2)|=6); #order-r in coset=349504 (|PGL|/|C|=349504)
   P5 j=5                       ok  j=5 r=7: |C_PGL(sigma^j)|=6 (|PGL(2,2)|=6); #order-r in coset=349504 (|PGL|/|C|=349504)
   P5 j=6                       ok  j=6 r=7: |C_PGL(sigma^j)|=6 (|PGL(2,2)|=6); #order-r in coset=349504 (|PGL|/|C|=349504)
ALL OK
