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On this page are computer-accessible forms for the graph C4[ 156, 7 ] = PS(12,13;5).

(I) Following is a form readable by MAGMA:

g:=Graph<156|{ {13, 14}, {65, 66}, {117, 118}, {24, 29}, {74, 79}, {50, 55}, {48, 53}, {26, 31}, {104, 109}, {128, 133}, {130, 135}, {25, 30}, {49, 54}, {91, 92}, {129, 134}, {19, 27}, {71, 79}, {52, 60}, {51, 59}, {50, 58}, {49, 57}, {48, 56}, {20, 28}, {21, 29}, {22, 30}, {23, 31}, {97, 105}, {98, 106}, {99, 107}, {100, 108}, {101, 109}, {102, 110}, {103, 111}, {128, 136}, {129, 137}, {130, 138}, {23, 28}, {51, 56}, {103, 108}, {2, 14}, {65, 77}, {64, 76}, {3, 15}, {32, 44}, {33, 45}, {34, 46}, {35, 47}, {80, 92}, {81, 93}, {82, 94}, {83, 95}, {112, 124}, {113, 125}, {114, 126}, {115, 127}, {22, 27}, {52, 57}, {100, 105}, {102, 107}, {1, 15}, {64, 78}, {32, 46}, {33, 47}, {80, 94}, {81, 95}, {112, 126}, {113, 127}, {39, 40}, {101, 106}, {2, 16}, {142, 156}, {139, 153}, {138, 152}, {135, 149}, {134, 148}, {73, 91}, {72, 90}, {69, 87}, {68, 86}, {45, 63}, {44, 62}, {3, 17}, {6, 20}, {7, 21}, {10, 24}, {11, 25}, {34, 48}, {35, 49}, {38, 52}, {40, 58}, {41, 59}, {79, 93}, {96, 114}, {97, 115}, {106, 120}, {107, 121}, {110, 124}, {111, 125}, {131, 145}, {4, 16}, {143, 155}, {142, 154}, {141, 153}, {140, 152}, {135, 147}, {134, 146}, {133, 145}, {5, 17}, {6, 18}, {7, 19}, {12, 24}, {13, 25}, {36, 48}, {37, 49}, {38, 50}, {39, 51}, {108, 120}, {109, 121}, {110, 122}, {111, 123}, {132, 144}, {40, 61}, {66, 87}, {42, 63}, {96, 117}, {4, 18}, {141, 155}, {140, 154}, {133, 147}, {67, 85}, {66, 84}, {43, 61}, {5, 19}, {12, 26}, {36, 50}, {37, 51}, {42, 60}, {98, 116}, {99, 117}, {108, 122}, {109, 123}, {132, 146}, {41, 62}, {45, 53}, {75, 83}, {74, 82}, {73, 81}, {72, 80}, {47, 55}, {46, 54}, {76, 84}, {77, 85}, {78, 86}, {104, 112}, {1, 26}, {75, 80}, {67, 88}, {8, 20}, {139, 151}, {138, 150}, {137, 149}, {136, 148}, {9, 21}, {10, 22}, {11, 23}, {106, 118}, {107, 119}, {68, 89}, {76, 81}, {70, 91}, {78, 83}, {8, 22}, {137, 151}, {136, 150}, {71, 89}, {70, 88}, {9, 23}, {105, 119}, {69, 90}, {143, 144}, {77, 82}, {131, 156}, {79, 104}, {15, 36}, {95, 116}, {14, 35}, {92, 113}, {94, 115}, {14, 32}, {15, 33}, {94, 112}, {95, 113}, {27, 52}, {93, 114}, {16, 34}, {17, 35}, {20, 38}, {21, 39}, {27, 41}, {30, 44}, {31, 45}, {82, 96}, {83, 97}, {86, 100}, {87, 101}, {90, 104}, {92, 110}, {93, 111}, {28, 40}, {29, 41}, {30, 42}, {31, 43}, {84, 96}, {85, 97}, {86, 98}, {87, 99}, {16, 37}, {18, 39}, {18, 36}, {19, 37}, {28, 42}, {29, 43}, {84, 98}, {85, 99}, {17, 38}, {24, 32}, {25, 33}, {26, 34}, {88, 100}, {89, 101}, {90, 102}, {91, 103}, {88, 102}, {89, 103}, {43, 64}, {44, 65}, {46, 64}, {47, 65}, {54, 68}, {63, 77}, {62, 76}, {59, 73}, {58, 72}, {55, 69}, {54, 66}, {63, 75}, {62, 74}, {61, 73}, {60, 72}, {55, 67}, {53, 67}, {61, 75}, {60, 74}, {53, 78}, {56, 68}, {59, 71}, {58, 70}, {57, 69}, {56, 70}, {57, 71}, {1, 149}, {2, 150}, {3, 151}, {8, 156}, {6, 144}, {7, 145}, {1, 152}, {3, 154}, {5, 156}, {9, 144}, {11, 146}, {13, 148}, {8, 146}, {9, 147}, {12, 150}, {13, 151}, {2, 153}, {10, 145}, {4, 152}, {5, 153}, {6, 154}, {7, 155}, {10, 148}, {11, 149}, {4, 155}, {12, 147}, {105, 130}, {114, 128}, {115, 129}, {120, 138}, {121, 139}, {124, 142}, {125, 143}, {116, 128}, {117, 129}, {120, 141}, {122, 143}, {116, 130}, {122, 140}, {123, 141}, {121, 142}, {123, 131}, {124, 132}, {125, 133}, {126, 134}, {127, 135}, {119, 140}, {127, 132}, {118, 139}, {126, 131}, {118, 136}, {119, 137} }>;

(II) A more general form is to represent the graph as the orbit of {13, 14} under the group generated by the following permutations:

a: (1, 14, 27, 40, 53, 66, 79, 92, 105, 118, 131, 144)(2, 19, 39, 48, 54, 71, 91, 100, 106, 123, 143, 152)(3, 24, 38, 43, 55, 76, 90, 95, 107, 128, 142, 147)(4, 16, 37, 51, 56, 68, 89, 103, 108, 120, 141, 155)(5, 21, 36, 46, 57, 73, 88, 98, 109, 125, 140, 150)(6, 26, 35, 41, 58, 78, 87, 93, 110, 130, 139, 145)(7, 18, 34, 49, 59, 70, 86, 101, 111, 122, 138, 153)(8, 23, 33, 44, 60, 75, 85, 96, 112, 127, 137, 148)(9, 15, 32, 52, 61, 67, 84, 104, 113, 119, 136, 156)(10, 20, 31, 47, 62, 72, 83, 99, 114, 124, 135, 151)(11, 25, 30, 42, 63, 77, 82, 94, 115, 129, 134, 146)(12, 17, 29, 50, 64, 69, 81, 102, 116, 121, 133, 154)(13, 22, 28, 45, 65, 74, 80, 97, 117, 126, 132, 149)
b: (2, 6, 13, 9)(3, 11, 12, 4)(5, 8, 10, 7)(14, 144)(15, 149, 26, 152)(16, 154, 25, 147)(17, 146, 24, 155)(18, 151, 23, 150)(19, 156, 22, 145)(20, 148, 21, 153)(27, 131)(28, 136, 39, 139)(29, 141, 38, 134)(30, 133, 37, 142)(31, 138, 36, 137)(32, 143, 35, 132)(33, 135, 34, 140)(40, 118)(41, 123, 52, 126)(42, 128, 51, 121)(43, 120, 50, 129)(44, 125, 49, 124)(45, 130, 48, 119)(46, 122, 47, 127)(53, 105)(54, 110, 65, 113)(55, 115, 64, 108)(56, 107, 63, 116)(57, 112, 62, 111)(58, 117, 61, 106)(59, 109, 60, 114)(66, 92)(67, 97, 78, 100)(68, 102, 77, 95)(69, 94, 76, 103)(70, 99, 75, 98)(71, 104, 74, 93)(72, 96, 73, 101)(80, 84, 91, 87)(81, 89, 90, 82)(83, 86, 88, 85)
c: (2, 13)(3, 12)(4, 11)(5, 10)(6, 9)(7, 8)(15, 26)(16, 25)(17, 24)(18, 23)(19, 22)(20, 21)(28, 39)(29, 38)(30, 37)(31, 36)(32, 35)(33, 34)(41, 52)(42, 51)(43, 50)(44, 49)(45, 48)(46, 47)(54, 65)(55, 64)(56, 63)(57, 62)(58, 61)(59, 60)(67, 78)(68, 77)(69, 76)(70, 75)(71, 74)(72, 73)(80, 91)(81, 90)(82, 89)(83, 88)(84, 87)(85, 86)(93, 104)(94, 103)(95, 102)(96, 101)(97, 100)(98, 99)(106, 117)(107, 116)(108, 115)(109, 114)(110, 113)(111, 112)(119, 130)(120, 129)(121, 128)(122, 127)(123, 126)(124, 125)(132, 143)(133, 142)(134, 141)(135, 140)(136, 139)(137, 138)(145, 156)(146, 155)(147, 154)(148, 153)(149, 152)(150, 151)
d: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13)(14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26)(27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39)(40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52)(53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65)(66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78)(79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91)(92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104)(105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117)(118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130)(131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143)(144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 156, 7 ]
156
-1 15 26 149 152
-2 14 16 150 153
-3 154 15 17 151
-4 155 16 18 152
-5 156 17 19 153
-6 154 144 18 20
-7 155 145 19 21
-8 22 156 146 20
-9 23 144 147 21
-10 22 24 145 148
-11 23 25 146 149
-12 24 26 147 150
-13 14 25 148 151
-14 2 13 35 32
-15 33 1 3 36
-16 34 2 4 37
-17 35 3 5 38
-18 36 4 6 39
-19 37 5 27 7
-20 38 6 28 8
-21 39 7 29 9
-22 27 8 30 10
-23 11 28 9 31
-24 12 29 10 32
-25 11 33 13 30
-26 1 12 34 31
-27 22 19 41 52
-28 23 40 20 42
-29 24 41 21 43
-30 22 44 25 42
-31 23 45 26 43
-32 44 24 46 14
-33 45 25 47 15
-34 46 26 48 16
-35 14 47 49 17
-36 15 48 50 18
-37 16 49 51 19
-38 17 50 52 20
-39 18 40 51 21
-40 58 28 39 61
-41 59 27 29 62
-42 60 28 30 63
-43 61 29 31 64
-44 62 30 32 65
-45 33 63 31 53
-46 34 64 32 54
-47 33 55 35 65
-48 34 56 36 53
-49 35 57 37 54
-50 55 36 58 38
-51 56 37 59 39
-52 57 27 38 60
-53 45 67 78 48
-54 66 46 68 49
-55 67 47 69 50
-56 68 48 70 51
-57 69 49 71 52
-58 70 50 72 40
-59 71 51 73 41
-60 72 52 74 42
-61 40 73 75 43
-62 44 41 74 76
-63 77 45 42 75
-64 78 46 43 76
-65 44 66 77 47
-66 84 54 65 87
-67 55 88 85 53
-68 56 89 86 54
-69 55 57 90 87
-70 88 56 58 91
-71 89 57 79 59
-72 90 58 80 60
-73 91 59 81 61
-74 79 60 82 62
-75 80 61 83 63
-76 81 62 84 64
-77 82 63 85 65
-78 83 53 64 86
-79 71 93 104 74
-80 92 72 94 75
-81 93 73 95 76
-82 77 94 74 96
-83 78 95 75 97
-84 66 96 76 98
-85 77 99 67 97
-86 78 100 68 98
-87 66 99 101 69
-88 67 100 102 70
-89 68 101 103 71
-90 69 102 104 72
-91 70 92 103 73
-92 110 80 91 113
-93 111 79 81 114
-94 112 80 82 115
-95 113 81 83 116
-96 114 82 84 117
-97 115 83 105 85
-98 116 84 106 86
-99 117 85 107 87
-100 88 105 86 108
-101 89 106 87 109
-102 88 110 90 107
-103 89 111 91 108
-104 79 90 112 109
-105 100 97 119 130
-106 101 118 98 120
-107 99 121 102 119
-108 100 122 103 120
-109 121 101 123 104
-110 122 102 124 92
-111 123 103 125 93
-112 124 104 126 94
-113 92 125 127 95
-114 93 126 128 96
-115 94 127 129 97
-116 95 128 130 98
-117 99 96 118 129
-118 136 106 117 139
-119 137 105 107 140
-120 138 106 108 141
-121 139 107 109 142
-122 110 143 140 108
-123 111 141 109 131
-124 110 132 112 142
-125 143 111 133 113
-126 112 134 114 131
-127 132 113 135 115
-128 133 114 136 116
-129 134 115 137 117
-130 135 105 116 138
-131 123 145 156 126
-132 144 124 146 127
-133 145 125 147 128
-134 146 126 148 129
-135 147 127 149 130
-136 148 128 150 118
-137 149 129 151 119
-138 150 130 152 120
-139 121 118 151 153
-140 154 122 119 152
-141 155 123 120 153
-142 121 154 156 124
-143 122 144 155 125
-144 132 143 6 9
-145 133 7 10 131
-146 11 132 134 8
-147 12 133 135 9
-148 13 134 136 10
-149 11 1 135 137
-150 12 2 136 138
-151 13 3 137 139
-152 1 4 138 140
-153 2 5 139 141
-154 3 6 140 142
-155 143 4 7 141
-156 5 8 131 142
0

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