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On this page are computer-accessible forms for the graph C4[ 182, 5 ] = BGCG(AT[91,2];K1;1).

(I) Following is a form readable by MAGMA:

g:=Graph<182|{ {90, 95}, {79, 95}, {76, 94}, {79, 92}, {80, 112}, {65, 96}, {84, 117}, {72, 105}, {81, 115}, {67, 96}, {88, 123}, {85, 113}, {91, 127}, {73, 108}, {81, 116}, {72, 110}, {85, 115}, {84, 114}, {86, 113}, {90, 114}, {68, 109}, {78, 103}, {74, 102}, {73, 100}, {82, 127}, {70, 104}, {76, 98}, {76, 99}, {78, 126}, {67, 114}, {83, 98}, {83, 97}, {86, 100}, {78, 122}, {79, 122}, {70, 112}, {71, 112}, {73, 126}, {64, 121}, {86, 111}, {66, 123}, {78, 116}, {67, 120}, {89, 98}, {88, 99}, {75, 117}, {74, 117}, {84, 107}, {28, 92}, {31, 94}, {62, 127}, {41, 107}, {48, 114}, {36, 103}, {34, 102}, {41, 109}, {52, 112}, {56, 124}, {49, 119}, {40, 111}, {59, 124}, {32, 104}, {42, 99}, {20, 94}, {44, 102}, {49, 123}, {57, 115}, {46, 101}, {17, 93}, {16, 93}, {33, 108}, {56, 117}, {43, 101}, {56, 118}, {41, 121}, {43, 123}, {58, 106}, {34, 115}, {51, 98}, {44, 126}, {42, 121}, {50, 97}, {42, 126}, {46, 122}, {40, 125}, {54, 99}, {47, 121}, {45, 122}, {48, 103}, {51, 107}, {34, 120}, {63, 101}, {39, 125}, {45, 119}, {51, 105}, {52, 110}, {53, 111}, {55, 109}, {4, 95}, {63, 100}, {35, 127}, {42, 118}, {1, 95}, {40, 119}, {14, 110}, {22, 118}, {26, 120}, {20, 119}, {15, 106}, {24, 125}, {7, 97}, {13, 107}, {57, 94}, {59, 92}, {53, 93}, {4, 110}, {7, 108}, {11, 103}, {17, 124}, {48, 93}, {6, 104}, {6, 105}, {1, 113}, {13, 125}, {9, 120}, {6, 116}, {19, 97}, {19, 96}, {25, 106}, {47, 92}, {5, 113}, {18, 102}, {2, 116}, {27, 109}, {14, 118}, {29, 101}, {5, 124}, {16, 105}, {23, 108}, {31, 100}, {19, 111}, {28, 96}, {22, 106}, {20, 104}, {5, 133}, {43, 171}, {38, 166}, {37, 165}, {20, 148}, {8, 137}, {18, 147}, {53, 180}, {24, 154}, {8, 139}, {13, 142}, {47, 172}, {54, 181}, {9, 141}, {21, 145}, {45, 169}, {10, 143}, {10, 140}, {26, 156}, {17, 151}, {12, 138}, {24, 159}, {30, 150}, {33, 169}, {59, 178}, {63, 182}, {15, 133}, {32, 170}, {2, 137}, {36, 175}, {4, 143}, {28, 144}, {32, 173}, {33, 172}, {4, 138}, {62, 176}, {22, 152}, {60, 178}, {24, 151}, {58, 181}, {60, 179}, {27, 139}, {50, 163}, {8, 154}, {61, 175}, {38, 180}, {21, 135}, {11, 153}, {49, 163}, {51, 161}, {13, 158}, {34, 177}, {31, 140}, {27, 136}, {1, 149}, {18, 134}, {8, 156}, {5, 147}, {32, 182}, {2, 149}, {10, 157}, {2, 155}, {61, 164}, {23, 142}, {3, 153}, {52, 174}, {11, 144}, {7, 155}, {30, 130}, {44, 176}, {3, 158}, {16, 141}, {12, 145}, {50, 175}, {58, 167}, {6, 152}, {63, 161}, {57, 167}, {57, 166}, {12, 172}, {38, 134}, {33, 129}, {37, 132}, {39, 134}, {40, 138}, {3, 160}, {55, 148}, {44, 136}, {58, 158}, {7, 162}, {54, 147}, {11, 173}, {19, 181}, {15, 169}, {55, 145}, {9, 174}, {59, 156}, {60, 155}, {14, 166}, {35, 139}, {29, 181}, {25, 177}, {49, 153}, {1, 168}, {12, 165}, {9, 160}, {46, 135}, {3, 168}, {37, 142}, {52, 159}, {30, 178}, {47, 131}, {14, 163}, {31, 178}, {15, 161}, {35, 141}, {29, 179}, {45, 130}, {61, 146}, {30, 174}, {62, 142}, {23, 166}, {50, 131}, {22, 164}, {55, 133}, {46, 157}, {25, 173}, {36, 145}, {38, 144}, {21, 162}, {28, 171}, {29, 165}, {26, 163}, {37, 156}, {39, 157}, {60, 134}, {10, 177}, {41, 146}, {26, 161}, {25, 162}, {21, 174}, {17, 170}, {54, 141}, {16, 172}, {62, 130}, {43, 151}, {27, 167}, {48, 140}, {18, 175}, {23, 170}, {53, 136}, {35, 157}, {36, 154}, {39, 152}, {56, 135}, {61, 130}, {65, 129}, {75, 139}, {74, 138}, {70, 132}, {82, 144}, {87, 148}, {77, 137}, {86, 146}, {69, 128}, {66, 132}, {66, 136}, {85, 159}, {75, 129}, {68, 143}, {88, 149}, {71, 137}, {91, 149}, {88, 150}, {80, 158}, {84, 155}, {81, 128}, {68, 150}, {82, 128}, {75, 153}, {69, 151}, {80, 131}, {83, 128}, {85, 129}, {70, 147}, {76, 154}, {65, 150}, {82, 133}, {67, 148}, {91, 131}, {65, 152}, {80, 140}, {83, 143}, {89, 135}, {90, 132}, {64, 159}, {77, 146}, {66, 162}, {69, 164}, {72, 171}, {87, 179}, {69, 160}, {77, 171}, {87, 176}, {79, 167}, {73, 160}, {64, 173}, {91, 182}, {89, 180}, {68, 170}, {71, 169}, {89, 168}, {64, 179}, {71, 180}, {81, 165}, {72, 176}, {74, 182}, {77, 177}, {90, 164}, {87, 168} }>;

(II) A more general form is to represent the graph as the orbit of {90, 95} under the group generated by the following permutations:

a: (2, 85, 4, 89)(3, 91, 5, 90)(6, 24, 10, 38)(7, 33, 12, 21)(8, 34, 14, 51)(9, 50, 15, 37)(11, 32, 17, 48)(13, 35, 18, 22)(16, 36, 25, 23)(19, 45, 29, 30)(20, 43, 31, 28)(27, 44, 42, 41)(40, 46, 60, 65)(47, 55, 66, 73)(49, 63, 59, 67)(52, 83, 71, 81)(53, 78, 64, 68)(54, 61, 58, 62)(56, 84, 75, 74)(57, 72, 76, 77)(69, 80, 82, 70)(79, 87, 88, 86)(92, 148, 123, 100)(93, 103, 173, 170)(94, 171)(95, 168, 149, 113)(96, 119, 101, 178)(97, 169, 165, 174)(98, 137, 115, 110)(99, 146, 167, 176)(102, 118, 107, 139)(104, 151, 140, 144)(105, 154, 177, 166)(106, 142, 141, 175)(108, 172, 145, 162)(109, 136, 126, 121)(111, 122, 179, 150)(112, 128)(114, 153, 182, 124)(116, 159, 143, 180)(120, 163, 161, 156)(125, 157, 134, 152)(127, 147, 164, 158)(129, 138, 135, 155)(130, 181)(131, 133, 132, 160)
b: (1, 2)(3, 6)(4, 7)(5, 8)(9, 16)(10, 19)(11, 20)(12, 21)(13, 22)(14, 23)(15, 24)(17, 26)(18, 27)(25, 40)(28, 31)(29, 46)(30, 47)(32, 49)(33, 52)(34, 53)(35, 54)(36, 55)(37, 56)(38, 57)(39, 58)(41, 61)(42, 62)(43, 63)(45, 64)(48, 67)(50, 68)(51, 69)(60, 79)(65, 80)(66, 74)(70, 75)(71, 85)(72, 73)(76, 82)(77, 86)(78, 87)(81, 89)(84, 90)(88, 91)(92, 178)(93, 120)(94, 144)(95, 155)(96, 140)(97, 143)(98, 128)(99, 127)(100, 171)(102, 136)(103, 148)(104, 153)(105, 160)(106, 125)(107, 164)(108, 110)(109, 175)(111, 177)(112, 129)(113, 137)(115, 180)(116, 168)(117, 132)(118, 142)(119, 173)(121, 130)(122, 179)(123, 182)(124, 156)(126, 176)(131, 150)(133, 154)(134, 167)(135, 165)(138, 162)(139, 147)(151, 161)(152, 158)(157, 181)(159, 169)(163, 170)(172, 174)
c: (2, 89, 5, 90)(3, 85, 4, 91)(6, 51, 15, 22)(7, 38, 17, 37)(8, 21, 18, 48)(9, 34, 10, 35)(11, 24, 12, 50)(13, 33, 14, 32)(16, 26, 25, 39)(19, 28, 43, 29)(20, 41, 45, 42)(27, 30, 44, 31)(40, 47, 49, 64)(46, 54, 67, 77)(52, 74, 80, 75)(53, 59, 66, 60)(55, 61, 78, 76)(56, 70, 84, 71)(57, 68, 62, 73)(58, 65, 72, 63)(69, 81, 83, 82)(79, 88, 87, 86)(92, 123, 179, 111)(93, 156, 162, 134)(94, 109, 130, 126)(95, 149, 168, 113)(96, 171, 101, 181)(97, 144, 151, 165)(98, 133, 164, 116)(99, 148, 146, 122)(100, 167, 150, 176)(102, 140, 139, 174)(103, 154, 145, 175)(104, 107, 169, 118)(105, 161, 106, 152)(108, 166, 170, 142)(110, 182, 158, 129)(112, 117)(114, 137, 135, 147)(115, 143, 127, 160)(119, 121)(120, 177, 157, 141)(124, 132, 155, 180)(125, 172, 163, 173)(131, 153, 159, 138)(136, 178)

(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[ 182, 5 ]
182
-1 113 168 149 95
-2 155 137 116 149
-3 168 158 160 153
-4 110 143 138 95
-5 133 113 124 147
-6 104 105 116 152
-7 155 162 97 108
-8 154 156 137 139
-9 160 141 174 120
-10 143 177 157 140
-11 144 103 173 153
-12 165 145 138 172
-13 125 158 107 142
-14 110 166 118 163
-15 133 169 106 161
-16 93 105 172 141
-17 124 93 170 151
-18 134 102 147 175
-19 111 181 96 97
-20 104 148 94 119
-21 145 135 162 174
-22 106 118 152 164
-23 166 170 108 142
-24 154 125 159 151
-25 177 106 162 173
-26 156 161 163 120
-27 167 136 139 109
-28 144 92 171 96
-29 165 101 179 181
-30 178 150 130 174
-31 100 178 94 140
-32 104 170 182 173
-33 169 172 129 108
-34 177 102 115 120
-35 157 127 139 141
-36 154 145 103 175
-37 132 165 156 142
-38 144 166 134 180
-39 134 157 125 152
-40 111 125 138 119
-41 121 146 107 109
-42 99 121 126 118
-43 101 123 171 151
-44 176 102 136 126
-45 122 169 119 130
-46 122 101 135 157
-47 121 92 172 131
-48 103 114 93 140
-49 123 119 163 153
-50 97 163 131 175
-51 105 161 107 98
-52 110 112 159 174
-53 111 136 180 93
-54 99 147 181 141
-55 133 145 148 109
-56 124 135 117 118
-57 166 167 115 94
-58 167 158 181 106
-59 156 178 124 92
-60 155 134 178 179
-61 146 130 164 175
-62 176 127 130 142
-63 100 101 182 161
-64 121 179 159 173
-65 150 96 129 152
-66 132 123 136 162
-67 114 148 96 120
-68 143 170 150 109
-69 160 128 151 164
-70 132 112 147 104
-71 112 169 180 137
-72 110 176 105 171
-73 100 126 160 108
-74 102 138 182 117
-75 117 139 129 153
-76 99 154 94 98
-77 177 146 137 171
-78 122 103 126 116
-79 122 167 92 95
-80 112 158 140 131
-81 165 115 116 128
-82 133 144 127 128
-83 143 128 97 98
-84 155 114 117 107
-85 113 115 159 129
-86 100 111 113 146
-87 176 168 179 148
-88 99 123 149 150
-89 135 168 180 98
-90 132 114 95 164
-91 127 149 182 131
-92 79 47 59 28
-93 48 16 17 53
-94 57 20 31 76
-95 1 79 90 4
-96 67 28 19 65
-97 50 83 7 19
-98 89 83 51 76
-99 88 42 54 76
-100 73 63 31 86
-101 46 29 63 43
-102 44 34 18 74
-103 11 78 36 48
-104 70 6 20 32
-105 16 6 72 51
-106 22 25 58 15
-107 13 51 84 41
-108 33 23 7 73
-109 55 68 27 41
-110 14 4 72 52
-111 40 19 53 86
-112 80 70 71 52
-113 1 5 85 86
-114 67 90 48 84
-115 34 57 81 85
-116 78 2 81 6
-117 56 84 74 75
-118 22 56 14 42
-119 45 49 40 20
-120 34 67 26 9
-121 47 41 42 64
-122 45 78 46 79
-123 66 88 49 43
-124 56 59 5 17
-125 13 24 39 40
-126 44 78 73 42
-127 35 91 82 62
-128 69 81 82 83
-129 33 85 75 65
-130 45 61 62 30
-131 47 80 91 50
-132 66 90 37 70
-133 55 15 5 82
-134 38 60 39 18
-135 56 89 46 21
-136 44 66 27 53
-137 77 2 71 8
-138 12 4 40 74
-139 35 27 8 75
-140 80 48 31 10
-141 35 16 9 54
-142 23 13 37 62
-143 68 4 83 10
-144 11 38 82 28
-145 55 12 36 21
-146 77 61 41 86
-147 70 5 18 54
-148 55 67 20 87
-149 88 1 2 91
-150 88 68 30 65
-151 24 69 17 43
-152 22 6 39 65
-153 11 3 49 75
-154 24 36 8 76
-155 2 60 7 84
-156 26 37 59 8
-157 35 46 39 10
-158 13 3 58 80
-159 24 52 85 64
-160 3 69 73 9
-161 15 26 51 63
-162 66 25 7 21
-163 14 26 49 50
-164 22 90 69 61
-165 12 37 81 29
-166 23 57 14 38
-167 57 79 58 27
-168 1 89 3 87
-169 33 45 15 71
-170 23 68 17 32
-171 77 28 72 43
-172 33 12 47 16
-173 11 25 64 32
-174 30 52 9 21
-175 36 50 61 18
-176 44 72 62 87
-177 77 34 25 10
-178 59 60 30 31
-179 60 29 64 87
-180 89 38 71 53
-181 58 29 19 54
-182 91 63 74 32
0

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