class 2A: order 2, |Cl| = 31775, Galois orbit length 1, other reps inside: [], max tail over x = 2 ; witness re-check (direct, full storage): tail 2, period 1  [0.1s]
class 4A: order 4, |Cl| = 508400, Galois orbit length 1, other reps inside: [], max tail over x = 103 ; witness re-check (direct, full storage): tail 103, period 100  [1.2s]
class 4B: order 4, |Cl| = 508400, Galois orbit length 1, other reps inside: [], max tail over x = 101 ; witness re-check (direct, full storage): tail 101, period 88  [1.2s]
class 31a: order 31, |Cl| = 1049600, Galois orbit length 5, other reps inside: [], max tail over x = 303 ; witness re-check (direct, full storage): tail 303, period 2232  [2.9s]
class 31b: order 31, |Cl| = 1049600, Galois orbit length 5, other reps inside: [], max tail over x = 323 ; witness re-check (direct, full storage): tail 323, period 651  [2.8s]
class 31c: order 31, |Cl| = 1049600, Galois orbit length 5, other reps inside: [], max tail over x = 442 ; witness re-check (direct, full storage): tail 442, period 31  [2.9s]
class 41a: order 41, |Cl| = 793600, Galois orbit length 5, other reps inside: [], max tail over x = 334 ; witness re-check (direct, full storage): tail 334, period 1312  [2.2s]
class 41b: order 41, |Cl| = 793600, Galois orbit length 5, other reps inside: [], max tail over x = 293 ; witness re-check (direct, full storage): tail 293, period 1968  [2.2s]
class 25: order 25, |Cl| = 1301504, Galois orbit length 5, other reps inside: [], max tail over x = 527 ; witness re-check (direct, full storage): tail 527, period 1275  [3.9s]
class 5: order 5, |Cl| = 1301504, Galois orbit length 1, other reps inside: [], max tail over x = 249 ; witness re-check (direct, full storage): tail 249, period 375  [3.9s]
sum over classes of |Cl| x orbit length = 32537599 ; |G| - 1 = 32537599
mu(Sz(32)) = 527
time 23.5s
