C4graphGraph forms for C4 [ 192, 20 ] = R_96(74,25)

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On this page are computer-accessible forms for the graph C4[ 192, 20 ] = R_96(74,25).

(I) Following is a form readable by MAGMA:

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

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

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

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