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On this page are computer-accessible forms for the graph C4[ 152, 2 ] = C_152(1,37).

(I) Following is a form readable by MAGMA:

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

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

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