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On this page are computer-accessible forms for the graph C4[ 189, 12 ] = UG(ATD[189,7]).

(I) Following is a form readable by MAGMA:

g:=Graph<189|{ {4, 7}, {74, 78}, {80, 84}, {137, 141}, {152, 156}, {1, 4}, {107, 110}, {1, 7}, {16, 22}, {10, 13}, {129, 134}, {54, 62}, {165, 172}, {19, 25}, {80, 90}, {1, 10}, {112, 123}, {1, 13}, {49, 61}, {37, 40}, {119, 122}, {146, 159}, {34, 45}, {82, 93}, {33, 49}, {71, 87}, {43, 58}, {168, 185}, {160, 177}, {103, 118}, {4, 22}, {73, 91}, {13, 31}, {69, 86}, {111, 124}, {131, 144}, {4, 16}, {46, 58}, {7, 19}, {10, 28}, {165, 179}, {71, 81}, {102, 113}, {75, 83}, {101, 127}, {132, 158}, {66, 89}, {170, 177}, {72, 83}, {110, 117}, {40, 52}, {66, 94}, {43, 55}, {143, 147}, {42, 55}, {168, 181}, {46, 51}, {128, 157}, {7, 25}, {36, 59}, {38, 57}, {130, 162}, {28, 61}, {70, 103}, {64, 97}, {78, 109}, {79, 108}, {16, 52}, {25, 61}, {19, 55}, {91, 127}, {93, 121}, {135, 163}, {86, 115}, {66, 100}, {94, 120}, {67, 100}, {10, 34}, {25, 49}, {13, 37}, {158, 183}, {30, 52}, {87, 125}, {150, 188}, {74, 97}, {22, 58}, {138, 166}, {92, 113}, {131, 173}, {140, 162}, {31, 48}, {78, 97}, {152, 183}, {77, 125}, {155, 171}, {88, 106}, {134, 180}, {137, 186}, {153, 170}, {146, 161}, {69, 112}, {155, 174}, {143, 186}, {69, 115}, {95, 105}, {129, 182}, {16, 40}, {156, 164}, {22, 46}, {19, 43}, {140, 180}, {138, 179}, {150, 175}, {31, 37}, {68, 126}, {135, 188}, {95, 99}, {85, 104}, {89, 100}, {128, 189}, {141, 176}, {144, 173}, {28, 34}, {159, 161}, {149, 171}, {153, 167}, {76, 115}, {145, 174}, {12, 76}, {53, 117}, {35, 99}, {39, 101}, {62, 124}, {23, 84}, {26, 94}, {53, 114}, {54, 127}, {38, 108}, {54, 124}, {30, 85}, {63, 116}, {33, 106}, {35, 111}, {27, 86}, {18, 93}, {30, 78}, {36, 116}, {18, 67}, {24, 74}, {26, 72}, {54, 101}, {21, 64}, {15, 89}, {56, 96}, {31, 70}, {62, 103}, {42, 112}, {51, 104}, {57, 98}, {6, 91}, {56, 102}, {60, 98}, {14, 81}, {35, 124}, {28, 67}, {12, 108}, {9, 104}, {52, 85}, {46, 79}, {26, 120}, {14, 109}, {49, 82}, {21, 118}, {45, 73}, {37, 64}, {51, 85}, {59, 93}, {23, 112}, {43, 76}, {8, 96}, {40, 64}, {3, 106}, {59, 82}, {38, 79}, {18, 121}, {48, 91}, {34, 73}, {23, 123}, {2, 111}, {42, 69}, {55, 88}, {45, 66}, {8, 121}, {21, 103}, {42, 88}, {30, 109}, {45, 94}, {33, 82}, {2, 118}, {21, 97}, {11, 126}, {18, 100}, {58, 76}, {48, 70}, {5, 114}, {3, 123}, {62, 70}, {6, 127}, {48, 73}, {33, 88}, {51, 79}, {6, 120}, {61, 67}, {12, 115}, {15, 143}, {9, 139}, {35, 167}, {63, 187}, {60, 184}, {47, 171}, {44, 168}, {24, 157}, {32, 165}, {5, 130}, {47, 168}, {39, 174}, {14, 132}, {32, 170}, {29, 150}, {60, 183}, {32, 172}, {41, 165}, {3, 142}, {9, 132}, {12, 130}, {63, 177}, {26, 148}, {17, 158}, {24, 151}, {29, 143}, {41, 189}, {15, 154}, {63, 170}, {44, 185}, {39, 178}, {17, 135}, {6, 145}, {27, 140}, {9, 158}, {24, 128}, {44, 180}, {11, 145}, {47, 181}, {41, 179}, {8, 147}, {15, 147}, {56, 164}, {50, 175}, {20, 138}, {2, 157}, {44, 140}, {53, 149}, {29, 188}, {3, 160}, {38, 133}, {50, 150}, {60, 152}, {11, 174}, {20, 177}, {17, 183}, {5, 162}, {29, 186}, {20, 179}, {8, 175}, {41, 128}, {36, 142}, {50, 152}, {36, 136}, {14, 163}, {17, 188}, {2, 172}, {50, 156}, {5, 181}, {56, 136}, {53, 133}, {23, 166}, {11, 185}, {57, 139}, {27, 169}, {59, 136}, {20, 160}, {47, 155}, {27, 162}, {32, 153}, {39, 155}, {57, 133}, {125, 189}, {68, 134}, {75, 137}, {102, 164}, {105, 171}, {89, 154}, {92, 159}, {111, 172}, {99, 167}, {68, 129}, {92, 153}, {65, 135}, {81, 151}, {77, 138}, {114, 181}, {119, 176}, {126, 185}, {65, 137}, {105, 161}, {83, 154}, {113, 187}, {65, 141}, {122, 182}, {117, 184}, {96, 175}, {107, 164}, {116, 187}, {68, 148}, {71, 151}, {99, 178}, {72, 154}, {110, 184}, {101, 178}, {98, 184}, {123, 160}, {72, 148}, {90, 134}, {74, 151}, {77, 144}, {102, 187}, {117, 149}, {65, 163}, {104, 139}, {106, 142}, {83, 182}, {87, 176}, {96, 136}, {98, 139}, {109, 132}, {120, 145}, {87, 189}, {121, 147}, {126, 148}, {77, 166}, {118, 157}, {95, 178}, {125, 144}, {90, 180}, {108, 130}, {113, 159}, {75, 186}, {81, 163}, {84, 166}, {119, 131}, {71, 176}, {90, 173}, {107, 156}, {114, 133}, {80, 169}, {107, 146}, {122, 131}, {116, 142}, {119, 141}, {92, 167}, {122, 129}, {105, 149}, {110, 146}, {75, 182}, {80, 173}, {84, 169}, {95, 161}, {86, 169} }>;

(II) A more general form is to represent the graph as the orbit of {4, 7} under the group generated by the following permutations:

a: (1, 2, 3)(4, 157, 123)(5, 158, 122)(6, 159, 121)(7, 118, 160)(8, 120, 161)(9, 119, 162)(10, 111, 142)(11, 110, 143)(12, 109, 144)(13, 172, 106)(14, 173, 108)(15, 174, 107)(16, 128, 112)(17, 129, 114)(18, 127, 113)(19, 21, 20)(22, 24, 23)(25, 103, 177)(26, 105, 175)(27, 104, 176)(28, 124, 116)(29, 126, 117)(30, 125, 115)(31, 32, 33)(34, 35, 36)(37, 165, 88)(38, 163, 90)(39, 164, 89)(40, 41, 42)(43, 97, 138)(44, 98, 137)(45, 99, 136)(46, 151, 84)(47, 152, 83)(48, 153, 82)(49, 70, 170)(50, 72, 171)(51, 71, 169)(52, 189, 69)(53, 188, 68)(54, 187, 67)(55, 64, 179)(56, 66, 178)(57, 65, 180)(58, 74, 166)(59, 73, 167)(60, 75, 168)(61, 62, 63)(76, 78, 77)(79, 81, 80)(85, 87, 86)(91, 92, 93)(94, 95, 96)(100, 101, 102)(130, 132, 131)(133, 135, 134)(139, 141, 140)(145, 146, 147)(148, 149, 150)(154, 155, 156)(181, 183, 182)(184, 186, 185)
b: (2, 3)(4, 10)(5, 11)(6, 12)(7, 13)(8, 14)(9, 15)(16, 28)(17, 29)(18, 30)(19, 31)(20, 32)(21, 33)(22, 34)(23, 35)(24, 36)(25, 37)(26, 38)(27, 39)(40, 61)(41, 63)(42, 62)(43, 48)(44, 47)(45, 46)(49, 64)(50, 65)(51, 66)(52, 67)(53, 68)(54, 69)(55, 70)(56, 71)(57, 72)(58, 73)(59, 74)(60, 75)(76, 91)(77, 92)(78, 93)(79, 94)(80, 95)(81, 96)(82, 97)(83, 98)(84, 99)(85, 100)(86, 101)(87, 102)(88, 103)(89, 104)(90, 105)(106, 118)(107, 119)(108, 120)(109, 121)(110, 122)(111, 123)(112, 124)(113, 125)(114, 126)(115, 127)(116, 128)(117, 129)(130, 145)(131, 146)(132, 147)(133, 148)(134, 149)(135, 150)(136, 151)(137, 152)(138, 153)(139, 154)(140, 155)(141, 156)(142, 157)(143, 158)(144, 159)(160, 172)(161, 173)(162, 174)(163, 175)(164, 176)(165, 177)(166, 167)(169, 178)(170, 179)(171, 180)(181, 185)(182, 184)(183, 186)(187, 189)
c: (1, 4, 7)(2, 5, 8)(3, 6, 9)(10, 16, 19)(11, 17, 20)(12, 18, 21)(13, 22, 25)(14, 23, 26)(15, 24, 27)(28, 40, 43)(29, 41, 44)(30, 42, 45)(31, 46, 49)(32, 47, 50)(33, 48, 51)(34, 52, 55)(35, 53, 56)(36, 54, 57)(37, 58, 61)(38, 59, 62)(39, 60, 63)(64, 76, 67)(65, 77, 68)(66, 78, 69)(70, 79, 82)(71, 80, 83)(72, 81, 84)(73, 85, 88)(74, 86, 89)(75, 87, 90)(91, 104, 106)(92, 105, 107)(93, 103, 108)(94, 109, 112)(95, 110, 113)(96, 111, 114)(97, 115, 100)(98, 116, 101)(99, 117, 102)(118, 130, 121)(119, 131, 122)(120, 132, 123)(124, 133, 136)(125, 134, 137)(126, 135, 138)(127, 139, 142)(128, 140, 143)(129, 141, 144)(145, 158, 160)(146, 159, 161)(147, 157, 162)(148, 163, 166)(149, 164, 167)(150, 165, 168)(151, 169, 154)(152, 170, 155)(153, 171, 156)(172, 181, 175)(173, 182, 176)(174, 183, 177)(178, 184, 187)(179, 185, 188)(180, 186, 189)

(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[ 189, 12 ]
189
-1 13 4 7 10
-2 111 157 172 118
-3 123 160 106 142
-4 22 1 16 7
-5 114 181 162 130
-6 145 91 127 120
-7 1 25 4 19
-8 121 147 96 175
-9 132 158 104 139
-10 1 34 13 28
-11 145 126 174 185
-12 115 108 130 76
-13 1 37 31 10
-14 132 81 163 109
-15 143 154 89 147
-16 22 4 40 52
-17 188 135 158 183
-18 121 67 100 93
-19 55 25 7 43
-20 177 179 138 160
-21 103 118 64 97
-22 46 58 4 16
-23 166 112 123 84
-24 157 128 74 151
-25 49 61 7 19
-26 148 72 94 120
-27 169 140 162 86
-28 34 67 61 10
-29 143 188 150 186
-30 78 52 85 109
-31 13 37 48 70
-32 165 170 172 153
-33 88 49 82 106
-34 45 28 73 10
-35 99 111 167 124
-36 59 136 116 142
-37 13 40 31 64
-38 133 57 79 108
-39 155 101 178 174
-40 37 16 52 64
-41 165 189 179 128
-42 55 88 112 69
-43 55 58 19 76
-44 168 180 140 185
-45 66 34 94 73
-46 22 79 58 51
-47 155 168 181 171
-48 91 70 73 31
-49 33 25 82 61
-50 156 150 152 175
-51 46 79 104 85
-52 16 40 30 85
-53 133 114 149 117
-54 101 124 127 62
-55 88 19 42 43
-56 102 136 96 164
-57 133 38 139 98
-58 22 46 43 76
-59 36 136 82 93
-60 183 184 152 98
-61 67 25 49 28
-62 124 70 103 54
-63 187 177 170 116
-64 37 40 97 21
-65 135 137 141 163
-66 45 89 100 94
-67 100 28 61 18
-68 134 126 148 129
-69 112 115 42 86
-70 48 103 62 31
-71 176 81 151 87
-72 154 26 148 83
-73 34 45 91 48
-74 78 24 151 97
-75 137 83 182 186
-76 12 58 115 43
-77 144 166 125 138
-78 30 74 97 109
-79 46 38 51 108
-80 90 169 84 173
-81 14 71 151 163
-82 33 59 49 93
-83 154 72 182 75
-84 23 166 80 169
-85 104 51 30 52
-86 69 169 27 115
-87 176 189 125 71
-88 33 55 106 42
-89 66 154 100 15
-90 134 80 180 173
-91 48 6 127 73
-92 167 113 159 153
-93 121 59 82 18
-94 66 45 26 120
-95 99 178 105 161
-96 56 136 8 175
-97 78 74 64 21
-98 57 60 139 184
-99 35 167 178 95
-100 66 67 89 18
-101 178 39 127 54
-102 187 56 113 164
-103 70 62 118 21
-104 51 139 85 9
-105 149 171 95 161
-106 33 88 3 142
-107 110 156 146 164
-108 12 79 38 130
-109 132 78 14 30
-110 146 117 107 184
-111 2 35 124 172
-112 23 123 69 42
-113 187 102 92 159
-114 133 5 181 53
-115 12 69 86 76
-116 187 36 63 142
-117 110 149 184 53
-118 2 157 103 21
-119 176 122 141 131
-120 145 26 6 94
-121 147 93 18 8
-122 182 129 119 131
-123 23 112 3 160
-124 111 35 62 54
-125 77 144 189 87
-126 11 68 148 185
-127 101 91 6 54
-128 24 189 157 41
-129 122 68 134 182
-130 12 5 162 108
-131 122 144 173 119
-132 14 158 9 109
-133 57 114 38 53
-134 68 90 180 129
-135 188 17 163 65
-136 56 36 59 96
-137 75 141 65 186
-138 77 166 179 20
-139 57 104 9 98
-140 44 180 27 162
-141 176 137 119 65
-142 3 36 116 106
-143 15 147 29 186
-144 77 125 173 131
-145 11 6 174 120
-146 110 159 161 107
-147 121 143 15 8
-148 68 26 126 72
-149 105 171 117 53
-150 188 50 29 175
-151 24 81 71 74
-152 156 60 50 183
-153 167 92 170 32
-154 89 15 72 83
-155 47 39 171 174
-156 50 107 152 164
-157 2 24 128 118
-158 132 17 183 9
-159 113 146 92 161
-160 177 123 3 20
-161 146 159 105 95
-162 5 27 140 130
-163 14 135 81 65
-164 56 156 102 107
-165 179 172 41 32
-166 77 23 138 84
-167 99 35 92 153
-168 44 47 181 185
-169 80 27 84 86
-170 177 63 32 153
-171 155 47 105 149
-172 165 111 2 32
-173 144 90 80 131
-174 11 155 145 39
-175 50 150 8 96
-176 71 119 141 87
-177 170 160 63 20
-178 99 101 39 95
-179 165 138 41 20
-180 44 90 134 140
-181 47 168 114 5
-182 122 83 129 75
-183 158 60 17 152
-184 110 60 117 98
-185 11 44 168 126
-186 143 137 29 75
-187 102 113 116 63
-188 135 17 29 150
-189 125 128 41 87
0

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