Documentation

HexConway.PrimitiveProofs.S3_0

C(2, 12) has a generator of order 4095.

C(5, 8) has a generator of order 390624.

C(2, 10) has a generator of order 1023.

C(13, 6) has a generator of order 4826808.

theorem Hex.Conway.primitive_293_4 :
Primitive 293 4 supportedEntry_293_4 [2, 3, 5, 7, 17, 73, 101] [4, 1, 2, 2, 1, 1, 1]

C(293, 4) has a generator of order 7370050800.

theorem Hex.Conway.primitive_211_4 :
Primitive 211 4 supportedEntry_211_4 [2, 3, 5, 7, 53, 113, 197] [4, 1, 1, 1, 1, 1, 1]

C(211, 4) has a generator of order 1982119440.

C(269, 4) has a generator of order 5236114320.

C(2, 8) has a generator of order 255.

C(139, 4) has a generator of order 373301040.

C(179, 4) has a generator of order 1026625680.

theorem Hex.Conway.primitive_227_4 :
Primitive 227 4 supportedEntry_227_4 [2, 3, 5, 19, 113, 5153] [4, 1, 1, 1, 1, 1]

C(227, 4) has a generator of order 2655237840.

C(2, 9) has a generator of order 511.

C(73, 4) has a generator of order 28398240.

C(113, 4) has a generator of order 163047360.

C(193, 4) has a generator of order 1387488000.

C(71, 4) has a generator of order 25411680.

C(107, 4) has a generator of order 131079600.

C(41, 4) has a generator of order 2825760.

theorem Hex.Conway.primitive_571_3 :
Primitive 571 3 supportedEntry_571_3 [2, 3, 5, 7, 19, 103, 151] [1, 2, 1, 1, 1, 1, 1]

C(571, 3) has a generator of order 186169410.

C(631, 3) has a generator of order 251239590.

theorem Hex.Conway.primitive_821_3 :
Primitive 821 3 supportedEntry_821_3 [2, 5, 7, 41, 229, 421] [2, 1, 1, 1, 1, 1]

C(821, 3) has a generator of order 553387660.

theorem Hex.Conway.primitive_967_3 :
Primitive 967 3 supportedEntry_967_3 [2, 3, 7, 23, 67, 4657] [1, 2, 1, 1, 1, 1]

C(967, 3) has a generator of order 904231062.

C(29, 4) has a generator of order 707280.

C(13, 5) has a generator of order 371292.