C4graphGraph forms for C4 [ 192, 101 ] = UG(ATD[192,146])

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On this page are computer-accessible forms for the graph C4[ 192, 101 ] = UG(ATD[192,146]).

(I) Following is a form readable by MAGMA:

g:=Graph<192|{ {30, 31}, {60, 61}, {34, 35}, {92, 93}, {110, 111}, {21, 23}, {160, 162}, {81, 83}, {72, 74}, {89, 91}, {125, 127}, {128, 130}, {1, 2}, {180, 183}, {45, 46}, {28, 31}, {9, 10}, {1, 5}, {154, 158}, {3, 7}, {2, 6}, {8, 13}, {112, 117}, {147, 150}, {67, 69}, {155, 157}, {90, 92}, {80, 87}, {82, 85}, {113, 118}, {83, 91}, {165, 172}, {145, 155}, {178, 184}, {151, 156}, {180, 191}, {177, 186}, {176, 187}, {4, 8}, {65, 76}, {178, 191}, {114, 124}, {162, 172}, {165, 170}, {182, 185}, {160, 177}, {2, 16}, {167, 181}, {11, 25}, {10, 24}, {9, 27}, {7, 21}, {6, 20}, {3, 17}, {15, 28}, {138, 153}, {12, 24}, {101, 113}, {107, 127}, {14, 27}, {102, 115}, {110, 123}, {129, 148}, {135, 146}, {4, 18}, {12, 26}, {5, 19}, {133, 147}, {169, 190}, {166, 190}, {77, 84}, {166, 191}, {79, 86}, {139, 146}, {75, 81}, {170, 176}, {167, 189}, {39, 60}, {78, 85}, {131, 152}, {140, 151}, {108, 112}, {42, 55}, {160, 189}, {79, 82}, {47, 50}, {8, 22}, {163, 189}, {9, 23}, {9, 22}, {173, 178}, {170, 181}, {161, 190}, {78, 81}, {76, 83}, {37, 58}, {71, 103}, {156, 188}, {93, 125}, {70, 103}, {84, 117}, {66, 96}, {149, 183}, {74, 104}, {18, 49}, {138, 169}, {71, 99}, {15, 42}, {76, 105}, {17, 52}, {25, 63}, {131, 165}, {134, 160}, {18, 59}, {68, 109}, {20, 61}, {17, 58}, {21, 62}, {85, 126}, {129, 173}, {135, 171}, {72, 101}, {137, 164}, {153, 183}, {19, 60}, {75, 100}, {73, 102}, {91, 116}, {3, 51}, {82, 98}, {138, 186}, {26, 40}, {27, 41}, {158, 173}, {16, 36}, {24, 44}, {5, 48}, {28, 41}, {7, 50}, {14, 56}, {15, 57}, {143, 185}, {6, 49}, {152, 175}, {149, 162}, {30, 38}, {147, 170}, {12, 54}, {159, 165}, {13, 55}, {3, 56}, {154, 161}, {8, 51}, {87, 108}, {144, 171}, {27, 39}, {29, 32}, {10, 52}, {157, 163}, {156, 162}, {154, 164}, {66, 124}, {11, 53}, {87, 105}, {30, 33}, {132, 187}, {139, 180}, {62, 126}, {47, 108}, {1, 68}, {55, 114}, {54, 115}, {46, 107}, {40, 109}, {45, 106}, {43, 97}, {49, 122}, {60, 119}, {20, 88}, {12, 65}, {57, 116}, {54, 123}, {52, 121}, {16, 95}, {53, 122}, {144, 192}, {33, 112}, {56, 105}, {4, 86}, {14, 90}, {30, 75}, {29, 74}, {39, 127}, {51, 107}, {36, 125}, {26, 64}, {33, 123}, {32, 122}, {37, 126}, {28, 65}, {29, 64}, {58, 100}, {29, 66}, {35, 124}, {56, 88}, {19, 114}, {47, 78}, {45, 76}, {43, 74}, {22, 116}, {63, 93}, {59, 89}, {26, 120}, {23, 117}, {32, 67}, {46, 77}, {36, 71}, {6, 98}, {37, 65}, {33, 68}, {35, 70}, {21, 115}, {38, 64}, {31, 121}, {34, 69}, {44, 75}, {36, 67}, {14, 103}, {2, 104}, {11, 97}, {34, 73}, {15, 99}, {37, 72}, {48, 93}, {24, 118}, {25, 119}, {38, 73}, {4, 119}, {179, 192}, {11, 120}, {57, 77}, {18, 106}, {43, 81}, {19, 111}, {188, 192}, {63, 66}, {43, 84}, {48, 79}, {20, 150}, {25, 155}, {16, 151}, {51, 180}, {44, 171}, {32, 167}, {10, 129}, {35, 168}, {58, 182}, {44, 161}, {1, 142}, {31, 143}, {13, 156}, {41, 191}, {49, 166}, {57, 174}, {13, 150}, {39, 188}, {53, 168}, {23, 136}, {50, 173}, {62, 159}, {99, 192}, {5, 172}, {61, 148}, {59, 146}, {41, 128}, {40, 130}, {38, 141}, {42, 129}, {7, 171}, {47, 131}, {46, 130}, {52, 132}, {55, 135}, {54, 134}, {53, 133}, {42, 153}, {59, 136}, {61, 137}, {17, 164}, {63, 138}, {40, 158}, {34, 152}, {48, 139}, {62, 130}, {45, 144}, {22, 169}, {50, 141}, {77, 141}, {78, 142}, {111, 175}, {119, 181}, {79, 140}, {82, 145}, {120, 187}, {126, 189}, {73, 140}, {125, 184}, {122, 188}, {92, 148}, {101, 174}, {112, 187}, {92, 144}, {116, 184}, {70, 139}, {89, 148}, {95, 146}, {98, 175}, {71, 137}, {106, 164}, {90, 149}, {94, 145}, {118, 185}, {124, 179}, {72, 152}, {102, 182}, {69, 150}, {94, 141}, {123, 168}, {114, 166}, {111, 186}, {100, 178}, {102, 176}, {80, 135}, {83, 132}, {105, 190}, {120, 175}, {94, 134}, {104, 176}, {80, 137}, {89, 128}, {104, 177}, {94, 132}, {95, 133}, {121, 163}, {109, 182}, {103, 186}, {115, 174}, {69, 155}, {127, 161}, {80, 143}, {90, 133}, {88, 184}, {91, 185}, {68, 167}, {107, 143}, {86, 179}, {96, 134}, {86, 177}, {118, 159}, {88, 179}, {99, 136}, {64, 172}, {100, 136}, {108, 128}, {113, 157}, {97, 140}, {96, 142}, {117, 154}, {70, 181}, {96, 147}, {106, 153}, {110, 157}, {67, 183}, {95, 169}, {84, 163}, {98, 149}, {87, 174}, {110, 151}, {121, 131}, {101, 158}, {109, 145}, {85, 168}, {97, 159}, {113, 142} }>;

(II) A more general form is to represent the graph as the orbit of {30, 31} under the group generated by the following permutations:

a: (2, 68, 5, 142)(4, 62, 90, 132)(6, 109, 48, 78)(7, 56, 17, 51)(8, 21, 14, 52)(10, 22, 23, 27)(12, 138, 84, 188)(13, 115, 103, 121)(16, 33, 19, 113)(18, 130, 92, 83)(20, 182, 139, 47)(24, 169, 117, 39)(25, 97, 53, 120)(26, 63, 43, 122)(28, 42, 57, 99)(30, 114, 101, 36)(31, 55, 174, 71)(32, 64, 66, 74)(35, 152, 69, 73)(37, 183, 141, 179)(38, 124, 72, 67)(40, 93, 81, 49)(41, 129, 116, 136)(44, 190, 154, 127)(46, 144, 76, 106)(50, 88, 58, 180)(54, 186, 163, 156)(59, 128, 148, 91)(60, 118, 95, 112)(61, 185, 146, 108)(65, 153, 77, 192)(70, 131, 150, 102)(75, 166, 158, 125)(79, 85, 98, 145)(86, 126, 149, 94)(87, 137, 143, 135)(96, 104, 167, 172)(100, 191, 173, 184)(105, 164, 107, 171)(111, 157, 151, 123)(119, 159, 133, 187)(134, 177, 189, 162)(140, 168, 175, 155)(147, 176, 181, 165)
b: (2, 5)(3, 9)(4, 13)(6, 19)(7, 23)(10, 17)(11, 34)(12, 37)(15, 45)(16, 48)(18, 55)(20, 60)(22, 51)(24, 58)(25, 69)(26, 72)(27, 56)(28, 76)(30, 81)(31, 83)(32, 66)(33, 78)(35, 53)(36, 93)(38, 43)(39, 88)(40, 101)(41, 105)(42, 106)(44, 100)(46, 57)(47, 112)(49, 114)(50, 117)(54, 126)(59, 135)(62, 115)(63, 67)(64, 74)(68, 142)(70, 133)(71, 92)(73, 97)(79, 151)(80, 89)(82, 110)(84, 141)(85, 123)(86, 156)(87, 128)(90, 103)(91, 143)(94, 163)(95, 139)(96, 167)(98, 111)(99, 144)(102, 159)(104, 172)(107, 116)(109, 113)(118, 182)(119, 150)(120, 152)(121, 132)(122, 124)(127, 184)(129, 164)(130, 174)(131, 187)(134, 189)(136, 171)(137, 148)(138, 183)(145, 157)(147, 181)(149, 186)(154, 173)(161, 178)(162, 177)(165, 176)(169, 180)(179, 188)(190, 191)
c: (2, 142)(3, 15)(4, 12)(5, 68)(6, 113)(7, 99)(8, 65)(9, 45)(10, 106)(13, 37)(14, 77)(16, 78)(17, 42)(18, 24)(19, 109)(20, 101)(21, 192)(22, 76)(23, 144)(25, 120)(26, 119)(27, 46)(28, 51)(29, 170)(30, 139)(31, 180)(32, 165)(33, 48)(35, 73)(36, 47)(38, 70)(39, 130)(40, 60)(41, 107)(43, 133)(44, 59)(49, 118)(50, 71)(52, 153)(53, 97)(54, 86)(55, 58)(56, 57)(61, 158)(62, 188)(63, 187)(64, 181)(66, 176)(67, 131)(69, 152)(72, 150)(74, 147)(75, 146)(79, 123)(80, 178)(81, 95)(82, 110)(83, 169)(84, 90)(85, 151)(87, 184)(88, 174)(89, 161)(91, 190)(92, 117)(93, 112)(94, 186)(96, 104)(98, 157)(100, 135)(102, 124)(103, 141)(105, 116)(108, 125)(111, 145)(114, 182)(115, 179)(121, 183)(122, 159)(126, 156)(127, 128)(129, 164)(132, 138)(134, 177)(136, 171)(137, 173)(140, 168)(143, 191)(148, 154)(149, 163)(155, 175)(162, 189)(166, 185)(167, 172)
d: (1, 2, 16, 36, 71, 99, 15, 28, 65, 12, 26, 120, 11, 25, 119, 4, 8, 51, 3, 7, 50, 47, 78, 142)(5, 6, 95, 125, 137, 136, 57, 31, 37, 54, 64, 175, 53, 63, 60, 18, 22, 107, 17, 21, 141, 131, 85, 96)(9, 46, 52, 62, 94, 165, 82, 147, 48, 20, 146, 184, 80, 100, 174, 30, 72, 123, 29, 111, 122, 138, 39, 106)(10, 130, 132, 159, 145, 170, 79, 150, 139, 88, 135, 178, 87, 75, 101, 33, 74, 110, 32, 186, 188, 153, 27, 45)(13, 180, 56, 171, 173, 108, 81, 113, 68, 104, 151, 67, 103, 192, 42, 41, 76, 24, 40, 187, 97, 155, 181, 86)(14, 144, 129, 128, 83, 118, 109, 176, 140, 69, 70, 179, 55, 191, 105, 44, 158, 112, 43, 157, 167, 177, 156, 183)(19, 49, 169, 127, 164, 23, 77, 121, 126, 134, 172, 98, 133, 93, 61, 59, 116, 143, 58, 115, 38, 152, 168, 66)(34, 35, 124, 114, 166, 190, 161, 154, 117, 84, 163, 189, 160, 162, 149, 90, 92, 148, 89, 91, 185, 182, 102, 73)

(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[ 192, 101 ]
192
-1 2 68 5 142
-2 1 16 104 6
-3 56 17 7 51
-4 18 8 86 119
-5 1 48 172 19
-6 2 49 20 98
-7 3 50 171 21
-8 22 13 4 51
-9 22 23 27 10
-10 24 52 129 9
-11 25 53 97 120
-12 24 26 54 65
-13 55 156 150 8
-14 56 90 103 27
-15 99 57 28 42
-16 2 36 95 151
-17 3 58 52 164
-18 4 59 49 106
-19 111 114 5 60
-20 88 6 61 150
-21 23 115 7 62
-22 169 116 8 9
-23 136 117 9 21
-24 44 12 118 10
-25 11 155 63 119
-26 12 40 64 120
-27 14 39 41 9
-28 15 41 31 65
-29 66 74 64 32
-30 33 38 31 75
-31 121 143 28 30
-32 67 122 167 29
-33 68 112 123 30
-34 35 69 73 152
-35 34 124 168 70
-36 67 125 16 71
-37 58 126 72 65
-38 73 30 64 141
-39 188 27 60 127
-40 26 158 130 109
-41 191 27 28 128
-42 55 15 129 153
-43 81 84 74 97
-44 24 171 161 75
-45 144 46 106 76
-46 77 45 107 130
-47 78 50 108 131
-48 79 5 93 139
-49 122 166 6 18
-50 47 7 173 141
-51 3 180 8 107
-52 121 132 17 10
-53 11 122 133 168
-54 12 123 134 115
-55 13 135 114 42
-56 88 3 14 105
-57 77 15 116 174
-58 100 37 17 182
-59 89 146 136 18
-60 39 61 19 119
-61 60 137 148 20
-62 126 159 130 21
-63 66 25 93 138
-64 26 38 29 172
-65 12 37 28 76
-66 124 29 63 96
-67 36 69 183 32
-68 33 1 167 109
-69 34 67 155 150
-70 35 103 181 139
-71 99 36 103 137
-72 101 37 74 152
-73 34 102 38 140
-74 104 72 29 43
-75 44 100 81 30
-76 45 83 105 65
-77 46 57 84 141
-78 47 81 85 142
-79 48 82 140 86
-80 143 135 137 87
-81 78 83 75 43
-82 79 145 85 98
-83 132 91 81 76
-84 77 117 163 43
-85 78 168 82 126
-86 177 79 179 4
-87 80 105 108 174
-88 56 179 184 20
-89 91 59 148 128
-90 133 14 92 149
-91 89 83 116 185
-92 144 90 93 148
-93 48 92 125 63
-94 132 134 145 141
-95 133 146 169 16
-96 66 134 147 142
-97 11 159 140 43
-98 82 6 149 175
-99 15 136 71 192
-100 178 58 136 75
-101 113 158 72 174
-102 176 115 182 73
-103 14 70 71 186
-104 176 177 2 74
-105 56 190 76 87
-106 45 18 153 164
-107 143 46 127 51
-108 112 47 128 87
-109 68 145 182 40
-110 111 123 157 151
-111 110 19 175 186
-112 33 187 117 108
-113 101 157 118 142
-114 55 166 124 19
-115 102 174 21 54
-116 22 57 91 184
-117 154 23 112 84
-118 24 113 159 185
-119 25 4 60 181
-120 11 187 26 175
-121 52 31 163 131
-122 188 49 53 32
-123 33 110 168 54
-124 66 35 179 114
-125 36 93 127 184
-126 189 37 62 85
-127 125 39 161 107
-128 89 41 108 130
-129 148 173 42 10
-130 46 40 62 128
-131 121 165 47 152
-132 187 83 94 52
-133 90 147 95 53
-134 94 160 96 54
-135 55 80 146 171
-136 99 23 100 59
-137 80 71 61 164
-138 169 63 153 186
-139 146 48 70 180
-140 79 73 151 97
-141 77 38 50 94
-142 1 78 113 96
-143 80 107 31 185
-144 45 92 192 171
-145 155 82 94 109
-146 135 59 95 139
-147 133 170 150 96
-148 89 92 61 129
-149 90 183 162 98
-150 13 69 147 20
-151 110 156 16 140
-152 34 72 131 175
-153 138 106 183 42
-154 158 117 161 164
-155 145 25 69 157
-156 188 13 151 162
-157 110 155 113 163
-158 154 101 40 173
-159 165 62 118 97
-160 177 134 189 162
-161 44 154 190 127
-162 156 149 160 172
-163 121 189 157 84
-164 154 137 17 106
-165 159 170 172 131
-166 190 114 191 49
-167 68 189 181 32
-168 35 123 85 53
-169 22 190 138 95
-170 165 176 147 181
-171 44 144 135 7
-172 165 5 162 64
-173 178 158 50 129
-174 57 101 115 87
-175 111 152 98 120
-176 187 102 104 170
-177 104 160 86 186
-178 100 191 173 184
-179 88 124 192 86
-180 191 51 139 183
-181 167 70 170 119
-182 58 102 185 109
-183 67 180 149 153
-184 88 178 125 116
-185 143 91 182 118
-186 111 177 103 138
-187 132 176 112 120
-188 122 156 192 39
-189 167 126 160 163
-190 166 169 105 161
-191 166 178 180 41
-192 99 144 188 179
0

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