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On this page are computer-accessible forms for the graph C4[ 153, 3 ] = {4,4}_12,3.

(I) Following is a form readable by MAGMA:

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

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

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