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On this page are computer-accessible forms for the graph C4[ 154, 2 ] = C_154(1,43).

(I) Following is a form readable by MAGMA:

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

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

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