Documentation

HexConway.PrimitiveProofs.S2_0

C(2, 14) has a generator of order 16383.

C(7, 8) has a generator of order 5764800.

C(11, 6) has a generator of order 1771560.

C(7, 7) has a generator of order 823542.

theorem Hex.Conway.primitive_157_4 :
Primitive 157 4 supportedEntry_157_4 [2, 3, 5, 13, 17, 29, 79] [4, 1, 2, 1, 1, 1, 1]

C(157, 4) has a generator of order 607573200.

theorem Hex.Conway.primitive_229_4 :
Primitive 229 4 supportedEntry_229_4 [2, 3, 5, 13, 19, 23, 2017] [4, 1, 1, 1, 1, 1, 1]

C(229, 4) has a generator of order 2750058480.

theorem Hex.Conway.primitive_277_4 :
Primitive 277 4 supportedEntry_277_4 [2, 3, 5, 23, 139, 7673] [4, 1, 1, 1, 1, 1]

C(277, 4) has a generator of order 5887339440.

C(3, 8) has a generator of order 6560.

C(149, 4) has a generator of order 492884400.

theorem Hex.Conway.primitive_181_4 :
Primitive 181 4 supportedEntry_181_4 [2, 3, 5, 7, 13, 16381] [4, 2, 1, 1, 1, 1]

C(181, 4) has a generator of order 1073283120.

C(239, 4) has a generator of order 3262808640.

C(257, 4) has a generator of order 4362470400.

C(89, 4) has a generator of order 62742240.

C(5, 6) has a generator of order 15624.

C(199, 4) has a generator of order 1568239200.

C(79, 4) has a generator of order 38950080.

C(127, 4) has a generator of order 260144640.

C(53, 4) has a generator of order 7890480.

theorem Hex.Conway.primitive_919_3 :
Primitive 919 3 supportedEntry_919_3 [2, 3, 7, 13, 17, 19, 163] [1, 4, 1, 1, 1, 1, 1]

C(919, 3) has a generator of order 776151558.

theorem Hex.Conway.primitive_691_3 :
Primitive 691 3 supportedEntry_691_3 [2, 3, 5, 19, 23, 8389] [1, 2, 1, 1, 1, 1]

C(691, 3) has a generator of order 329939370.

theorem Hex.Conway.primitive_823_3 :
Primitive 823 3 supportedEntry_823_3 [2, 3, 7, 43, 137, 751] [1, 2, 1, 1, 1, 1]

C(823, 3) has a generator of order 557441766.

theorem Hex.Conway.primitive_971_3 :
Primitive 971 3 supportedEntry_971_3 [2, 5, 13, 79, 97, 919] [1, 1, 1, 1, 1, 1]

C(971, 3) has a generator of order 915498610.

C(31, 4) has a generator of order 923520.

C(277, 3) has a generator of order 21253932.