q = 5: |GL(2,q)| = 480, |PGL(2,q)| = 120, 31 points  [0.0s]
  (a) c_q = 8 (formula 8), M = max |Q_t| = 800 = q^2 (q-1) c_q; |ker phi_y| = 100; MinSubDeg(H) = |Q|/M = 15, k = 31, k*MinSubDeg(H) = |P|/M = 465  [0.0s]
  GL(2,5): 48 conjugacy classes of subgroups  [0.1s]
  [> M]  point |H| =   480  |X| = |E||H| =  12000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,12000,120,False) (30,400,20,False)
  [> M]  point |H| =   240  |X| = |E||H| =   6000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6000,60,False) (30,200,20,False)
  [> M]  point |H| =   120  |X| = |E||H| =   3000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,3000,60,False) (30,100,20,False)
  [> M]  point |H| =    96  |X| = |E||H| =   2400  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,2400,24,False) (30,80,20,False)
  [> M]  point |H| =    80  |X| = |E||H| =   2000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,2000,20,False) (5,400,20,False) (25,80,20,False)
  [> M]  point |H| =    48  |X| = |E||H| =   1200  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1200,12,False) (30,40,20,False)
  [> M]  point |H| =    48  |X| = |E||H| =   1200  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1200,12,False) (30,40,20,False)
  [> M]  point |H| =    40  |X| = |E||H| =   1000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1000,20,False) (5,200,10,False) (25,40,20,False)
  [> M]  point |H| =    40  |X| = |E||H| =   1000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1000,20,False) (5,200,20,False) (25,40,10,False)
  [> M]  point |H| =    40  |X| = |E||H| =   1000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1000,10,False) (5,200,20,False) (25,40,20,False)
  RESULT (b) q=5 point stabiliser: 10 subgroups X (up to conjugacy) with |X| > M = 800; N = E forced in every case: True; good at some point: none  [0.5s]
  [> M]  line  |H| =   480  |X| = |E||H| =  12000  orbits (length, |X_d|, |phi_d(X_d)|, good): (6,2000,20,False) (25,480,120,False)
  [> M]  line  |H| =   240  |X| = |E||H| =   6000  orbits (length, |X_d|, |phi_d(X_d)|, good): (6,1000,20,False) (25,240,60,False)
  [> M]  line  |H| =   120  |X| = |E||H| =   3000  orbits (length, |X_d|, |phi_d(X_d)|, good): (6,500,20,False) (25,120,60,False)
  [> M]  line  |H| =    96  |X| = |E||H| =   2400  orbits (length, |X_d|, |phi_d(X_d)|, good): (6,400,20,False) (25,96,24,False)
  [> M]  line  |H| =    80  |X| = |E||H| =   2000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,2000,20,False) (5,400,20,False) (25,80,20,False)
  [> M]  line  |H| =    48  |X| = |E||H| =   1200  orbits (length, |X_d|, |phi_d(X_d)|, good): (6,200,20,False) (25,48,12,False)
  [> M]  line  |H| =    48  |X| = |E||H| =   1200  orbits (length, |X_d|, |phi_d(X_d)|, good): (6,200,20,False) (25,48,12,False)
  [> M]  line  |H| =    40  |X| = |E||H| =   1000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1000,10,False) (5,200,20,False) (25,40,20,False)
  [> M]  line  |H| =    40  |X| = |E||H| =   1000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1000,20,False) (5,200,10,False) (25,40,20,False)
  [> M]  line  |H| =    40  |X| = |E||H| =   1000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1000,20,False) (5,200,20,False) (25,40,10,False)
  RESULT (b) q=5 line stabiliser: 10 subgroups X (up to conjugacy) with |X| > M = 800; N = E forced in every case: True; good at some point: none  [1.0s]
  [>= M] point |H| =   480  |X| = |E||H| =  12000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,12000,120,False) (30,400,20,False)
  [>= M] point |H| =   240  |X| = |E||H| =   6000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6000,60,False) (30,200,20,False)
  [>= M] point |H| =   120  |X| = |E||H| =   3000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,3000,60,False) (30,100,20,False)
  [>= M] point |H| =    96  |X| = |E||H| =   2400  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,2400,24,False) (30,80,20,False)
  [>= M] point |H| =    80  |X| = |E||H| =   2000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,2000,20,False) (5,400,20,False) (25,80,20,False)
  [>= M] point |H| =    48  |X| = |E||H| =   1200  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1200,12,False) (30,40,20,False)
  [>= M] point |H| =    48  |X| = |E||H| =   1200  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1200,12,False) (30,40,20,False)
  [>= M] point |H| =    40  |X| = |E||H| =   1000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1000,20,False) (5,200,10,False) (25,40,20,False)
  [>= M] point |H| =    40  |X| = |E||H| =   1000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1000,20,False) (5,200,20,False) (25,40,10,False)
  [>= M] point |H| =    40  |X| = |E||H| =   1000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1000,10,False) (5,200,20,False) (25,40,20,False)
  [>= M] point |H| =    32  |X| = |E||H| =    800  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,800,8,True) (10,80,20,False) (20,40,20,False)
  RESULT (c) control q=5 point stabiliser: 11 subgroups X (up to conjugacy) with |X| >= M = 800; N = E forced in every case: True; good at some point: [800]  [1.4s]
  [>= M] line  |H| =   480  |X| = |E||H| =  12000  orbits (length, |X_d|, |phi_d(X_d)|, good): (6,2000,20,False) (25,480,120,False)
  [>= M] line  |H| =   240  |X| = |E||H| =   6000  orbits (length, |X_d|, |phi_d(X_d)|, good): (6,1000,20,False) (25,240,60,False)
  [>= M] line  |H| =   120  |X| = |E||H| =   3000  orbits (length, |X_d|, |phi_d(X_d)|, good): (6,500,20,False) (25,120,60,False)
  [>= M] line  |H| =    96  |X| = |E||H| =   2400  orbits (length, |X_d|, |phi_d(X_d)|, good): (6,400,20,False) (25,96,24,False)
  [>= M] line  |H| =    80  |X| = |E||H| =   2000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,2000,20,False) (5,400,20,False) (25,80,20,False)
  [>= M] line  |H| =    48  |X| = |E||H| =   1200  orbits (length, |X_d|, |phi_d(X_d)|, good): (6,200,20,False) (25,48,12,False)
  [>= M] line  |H| =    48  |X| = |E||H| =   1200  orbits (length, |X_d|, |phi_d(X_d)|, good): (6,200,20,False) (25,48,12,False)
  [>= M] line  |H| =    40  |X| = |E||H| =   1000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1000,10,False) (5,200,20,False) (25,40,20,False)
  [>= M] line  |H| =    40  |X| = |E||H| =   1000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1000,20,False) (5,200,10,False) (25,40,20,False)
  [>= M] line  |H| =    40  |X| = |E||H| =   1000  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,1000,20,False) (5,200,20,False) (25,40,10,False)
  [>= M] line  |H| =    32  |X| = |E||H| =    800  orbits (length, |X_d|, |phi_d(X_d)|, good): (2,400,20,False) (4,200,20,False) (25,32,8,True)
  RESULT (c) control q=5 line stabiliser: 11 subgroups X (up to conjugacy) with |X| >= M = 800; N = E forced in every case: True; good at some point: [800]  [1.8s]
q = 5 done  [1.8s]
q = 7: |GL(2,q)| = 2016, |PGL(2,q)| = 336, 57 points  [0.1s]
  (a) c_q = 16 (formula 16), M = max |Q_t| = 4704 = q^2 (q-1) c_q; |ker phi_y| = 294; MinSubDeg(H) = |Q|/M = 21, k = 57, k*MinSubDeg(H) = |P|/M = 1197  [0.1s]
  GL(2,7): 84 conjugacy classes of subgroups  [1.8s]
  [> M]  point |H| =  2016  |X| = |E||H| =  98784  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,98784,336,False) (56,1764,42,False)
  [> M]  point |H| =  1008  |X| = |E||H| =  49392  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,49392,168,False) (56,882,42,False)
  [> M]  point |H| =   672  |X| = |E||H| =  32928  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,32928,336,False) (56,588,42,False)
  [> M]  point |H| =   336  |X| = |E||H| =  16464  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,16464,168,False) (56,294,42,False)
  [> M]  point |H| =   252  |X| = |E||H| =  12348  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,12348,42,False) (7,1764,42,False) (49,252,42,False)
  [> M]  point |H| =   144  |X| = |E||H| =   7056  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,7056,24,False) (56,126,42,False)
  [> M]  point |H| =   126  |X| = |E||H| =   6174  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6174,42,False) (7,882,21,False) (49,126,42,False)
  [> M]  point |H| =   126  |X| = |E||H| =   6174  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6174,42,False) (7,882,42,False) (49,126,21,False)
  [> M]  point |H| =   126  |X| = |E||H| =   6174  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6174,21,False) (7,882,42,False) (49,126,42,False)
  RESULT (b) q=7 point stabiliser: 9 subgroups X (up to conjugacy) with |X| > M = 4704; N = E forced in every case: True; good at some point: none  [7.3s]
  [> M]  line  |H| =  2016  |X| = |E||H| =  98784  orbits (length, |X_d|, |phi_d(X_d)|, good): (8,12348,42,False) (49,2016,336,False)
  [> M]  line  |H| =  1008  |X| = |E||H| =  49392  orbits (length, |X_d|, |phi_d(X_d)|, good): (8,6174,42,False) (49,1008,168,False)
  [> M]  line  |H| =   672  |X| = |E||H| =  32928  orbits (length, |X_d|, |phi_d(X_d)|, good): (8,4116,42,False) (49,672,336,False)
  [> M]  line  |H| =   336  |X| = |E||H| =  16464  orbits (length, |X_d|, |phi_d(X_d)|, good): (8,2058,42,False) (49,336,168,False)
  [> M]  line  |H| =   252  |X| = |E||H| =  12348  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,12348,42,False) (7,1764,42,False) (49,252,42,False)
  [> M]  line  |H| =   144  |X| = |E||H| =   7056  orbits (length, |X_d|, |phi_d(X_d)|, good): (8,882,42,False) (49,144,24,False)
  [> M]  line  |H| =   126  |X| = |E||H| =   6174  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6174,21,False) (7,882,42,False) (49,126,42,False)
  [> M]  line  |H| =   126  |X| = |E||H| =   6174  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6174,42,False) (7,882,21,False) (49,126,42,False)
  [> M]  line  |H| =   126  |X| = |E||H| =   6174  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6174,42,False) (7,882,42,False) (49,126,21,False)
  RESULT (b) q=7 line stabiliser: 9 subgroups X (up to conjugacy) with |X| > M = 4704; N = E forced in every case: True; good at some point: none  [12.9s]
  [>= M] point |H| =  2016  |X| = |E||H| =  98784  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,98784,336,False) (56,1764,42,False)
  [>= M] point |H| =  1008  |X| = |E||H| =  49392  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,49392,168,False) (56,882,42,False)
  [>= M] point |H| =   672  |X| = |E||H| =  32928  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,32928,336,False) (56,588,42,False)
  [>= M] point |H| =   336  |X| = |E||H| =  16464  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,16464,168,False) (56,294,42,False)
  [>= M] point |H| =   252  |X| = |E||H| =  12348  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,12348,42,False) (7,1764,42,False) (49,252,42,False)
  [>= M] point |H| =   144  |X| = |E||H| =   7056  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,7056,24,False) (56,126,42,False)
  [>= M] point |H| =   126  |X| = |E||H| =   6174  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6174,42,False) (7,882,21,False) (49,126,42,False)
  [>= M] point |H| =   126  |X| = |E||H| =   6174  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6174,42,False) (7,882,42,False) (49,126,21,False)
  [>= M] point |H| =   126  |X| = |E||H| =   6174  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6174,21,False) (7,882,42,False) (49,126,42,False)
  [>= M] point |H| =    96  |X| = |E||H| =   4704  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,4704,16,True) (56,84,42,False)
  RESULT (c) control q=7 point stabiliser: 10 subgroups X (up to conjugacy) with |X| >= M = 4704; N = E forced in every case: True; good at some point: [4704]  [18.4s]
  [>= M] line  |H| =  2016  |X| = |E||H| =  98784  orbits (length, |X_d|, |phi_d(X_d)|, good): (8,12348,42,False) (49,2016,336,False)
  [>= M] line  |H| =  1008  |X| = |E||H| =  49392  orbits (length, |X_d|, |phi_d(X_d)|, good): (8,6174,42,False) (49,1008,168,False)
  [>= M] line  |H| =   672  |X| = |E||H| =  32928  orbits (length, |X_d|, |phi_d(X_d)|, good): (8,4116,42,False) (49,672,336,False)
  [>= M] line  |H| =   336  |X| = |E||H| =  16464  orbits (length, |X_d|, |phi_d(X_d)|, good): (8,2058,42,False) (49,336,168,False)
  [>= M] line  |H| =   252  |X| = |E||H| =  12348  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,12348,42,False) (7,1764,42,False) (49,252,42,False)
  [>= M] line  |H| =   144  |X| = |E||H| =   7056  orbits (length, |X_d|, |phi_d(X_d)|, good): (8,882,42,False) (49,144,24,False)
  [>= M] line  |H| =   126  |X| = |E||H| =   6174  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6174,21,False) (7,882,42,False) (49,126,42,False)
  [>= M] line  |H| =   126  |X| = |E||H| =   6174  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6174,42,False) (7,882,21,False) (49,126,42,False)
  [>= M] line  |H| =   126  |X| = |E||H| =   6174  orbits (length, |X_d|, |phi_d(X_d)|, good): (1,6174,42,False) (7,882,42,False) (49,126,21,False)
  [>= M] line  |H| =    96  |X| = |E||H| =   4704  orbits (length, |X_d|, |phi_d(X_d)|, good): (8,588,42,False) (49,96,16,True)
  RESULT (c) control q=7 line stabiliser: 10 subgroups X (up to conjugacy) with |X| >= M = 4704; N = E forced in every case: True; good at some point: [4704]  [24.0s]
q = 7 done  [24.0s]
TOTAL failures: 0
