C4graphGraph forms for C4 [ 152, 3 ] = C_152(1,39)

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On this page are computer-accessible forms for the graph C4[ 152, 3 ] = C_152(1,39).

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

(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.

**************

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

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