[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 156, 12 ] = Pr_52(1,37,41,25).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

**************

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

**************