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On this page are computer-accessible forms for the graph C4[ 156, 2 ] = C_156(1,25).

(I) Following is a form readable by MAGMA:

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

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

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

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