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On this page are computer-accessible forms for the graph C4[ 155, 1 ] = C_155(1,61).

(I) Following is a form readable by MAGMA:

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

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

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