Graph forms
for C4 [ 192, 127 ] = XI(Rmap(96,3){3,8|8}_12)
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On this page are computer-accessible forms for the graph C4[ 192, 127 ] =
XI(Rmap(96,3){3,8|8}_12).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {96, 122}, {93, 125}, {76, 111}, {87, 116}, {79, 107}, {78, 107},
{92, 121}, {75, 109}, {70, 118}, {68, 112}, {85, 97}, {78, 122}, {80, 101}, {92,
106}, {78, 121}, {84, 105}, {85, 104}, {88, 102}, {71, 120}, {56, 120}, {61,
126}, {43, 110}, {49, 118}, {42, 98}, {45, 101}, {34, 104}, {54, 125}, {42,
102}, {41, 103}, {57, 119}, {61, 115}, {60, 115}, {45, 124}, {39, 117}, {49,
98}, {32, 117}, {46, 123}, {34, 119}, {33, 118}, {40, 127}, {62, 105}, {41,
113}, {37, 124}, {39, 126}, {57, 99}, {62, 100}, {35, 120}, {38, 125}, {56,
100}, {63, 99}, {45, 112}, {58, 103}, {36, 122}, {63, 97}, {1, 97}, {27, 123},
{4, 101}, {1, 99}, {6, 100}, {1, 98}, {12, 111}, {8, 107}, {2, 97}, {3, 103},
{16, 116}, {9, 108}, {15, 106}, {13, 104}, {11, 110}, {4, 98}, {26, 124}, {19,
117}, {5, 99}, {1, 102}, {20, 115}, {14, 105}, {10, 109}, {3, 100}, {2, 101},
{6, 111}, {2, 104}, {20, 126}, {3, 105}, {5, 110}, {31, 116}, {25, 114}, {20,
127}, {12, 103}, {28, 112}, {30, 114}, {29, 113}, {7, 106}, {11, 102}, {19,
125}, {21, 123}, {16, 127}, {29, 114}, {22, 121}, {26, 106}, {2, 112}, {9, 123},
{8, 122}, {5, 119}, {4, 118}, {3, 113}, {10, 126}, {24, 108}, {7, 114}, {7,
113}, {10, 124}, {9, 127}, {26, 109}, {27, 108}, {13, 119}, {8, 115}, {16, 107},
{18, 110}, {9, 116}, {17, 108}, {6, 120}, {17, 111}, {7, 121}, {10, 117}, {18,
109}, {15, 143}, {44, 172}, {43, 171}, {47, 175}, {62, 190}, {46, 175}, {21,
151}, {33, 163}, {25, 155}, {24, 154}, {63, 189}, {66, 192}, {8, 139}, {46,
173}, {16, 148}, {27, 159}, {52, 176}, {53, 177}, {54, 178}, {19, 150}, {34,
167}, {57, 188}, {51, 181}, {18, 149}, {39, 160}, {37, 162}, {33, 166}, {58,
189}, {13, 133}, {22, 158}, {15, 135}, {14, 134}, {32, 169}, {51, 186}, {23,
157}, {41, 163}, {25, 146}, {35, 168}, {27, 144}, {5, 137}, {30, 146}, {50,
190}, {55, 187}, {36, 169}, {53, 184}, {4, 138}, {23, 153}, {22, 152}, {6, 136},
{59, 181}, {61, 179}, {36, 171}, {45, 162}, {37, 170}, {52, 187}, {35, 179},
{50, 163}, {55, 166}, {36, 182}, {55, 165}, {43, 184}, {51, 160}, {38, 178},
{55, 163}, {21, 128}, {37, 176}, {34, 183}, {26, 143}, {23, 130}, {52, 161},
{24, 142}, {47, 185}, {22, 129}, {31, 136}, {53, 162}, {61, 170}, {19, 139},
{20, 140}, {17, 136}, {89, 192}, {38, 191}, {30, 135}, {28, 133}, {11, 145},
{23, 141}, {18, 137}, {91, 192}, {29, 134}, {24, 131}, {52, 168}, {14, 147},
{25, 132}, {57, 164}, {12, 146}, {63, 161}, {17, 142}, {40, 183}, {58, 165},
{11, 171}, {39, 135}, {48, 144}, {53, 149}, {13, 172}, {38, 135}, {30, 191},
{47, 142}, {12, 174}, {56, 154}, {59, 153}, {14, 173}, {40, 140}, {50, 150},
{60, 152}, {28, 180}, {46, 134}, {44, 132}, {43, 131}, {42, 130}, {41, 129},
{40, 128}, {58, 146}, {62, 150}, {32, 137}, {44, 133}, {31, 181}, {32, 139},
{48, 157}, {54, 155}, {48, 158}, {49, 159}, {15, 160}, {33, 145}, {35, 147},
{28, 173}, {42, 155}, {29, 172}, {54, 132}, {47, 156}, {50, 129}, {44, 153},
{59, 140}, {60, 139}, {59, 130}, {21, 175}, {56, 131}, {49, 141}, {60, 129},
{48, 143}, {51, 140}, {69, 133}, {77, 141}, {84, 151}, {73, 141}, {90, 156},
{84, 147}, {65, 137}, {74, 130}, {88, 145}, {64, 138}, {93, 151}, {66, 136},
{80, 154}, {68, 143}, {93, 150}, {83, 152}, {82, 153}, {67, 142}, {71, 138},
{91, 149}, {76, 156}, {77, 157}, {78, 158}, {79, 159}, {74, 155}, {70, 148},
{73, 154}, {71, 147}, {84, 128}, {69, 144}, {86, 131}, {65, 151}, {96, 182},
{73, 159}, {82, 132}, {70, 145}, {81, 134}, {64, 152}, {69, 157}, {96, 185},
{68, 158}, {80, 138}, {79, 148}, {72, 148}, {75, 149}, {31, 192}, {95, 128},
{79, 144}, {83, 179}, {80, 177}, {94, 191}, {76, 174}, {87, 181}, {89, 186},
{86, 178}, {94, 186}, {82, 183}, {92, 185}, {85, 176}, {64, 166}, {94, 184},
{90, 188}, {89, 191}, {88, 190}, {65, 167}, {90, 189}, {65, 169}, {95, 183},
{86, 190}, {67, 171}, {69, 173}, {81, 185}, {66, 168}, {88, 178}, {67, 169},
{74, 161}, {67, 175}, {95, 179}, {87, 187}, {72, 165}, {77, 160}, {86, 184},
{75, 164}, {94, 177}, {68, 180}, {70, 182}, {76, 188}, {66, 176}, {71, 180},
{72, 187}, {64, 180}, {81, 164}, {95, 170}, {91, 174}, {83, 166}, {82, 167},
{87, 161}, {74, 189}, {89, 174}, {75, 188}, {77, 186}, {73, 177}, {92, 164},
{91, 162}, {93, 167}, {83, 168}, {96, 156}, {81, 172}, {72, 182}, {85, 170},
{90, 165} }>;
(II) A more general form is to represent the graph as the orbit of {96, 122}
under the group generated by the following permutations:
a: (1, 2)(3, 8)(5, 13)(6, 16)(7, 19)(9, 17)(10, 25)(11, 28)(12, 20)(14, 36)(15,
38)(18, 44)(21, 47)(22, 50)(23, 53)(24, 27)(26, 54)(29, 32)(30, 39)(33, 64)(34,
57)(35, 72)(37, 74)(40, 76)(41, 60)(42, 45)(43, 69)(46, 67)(48, 86)(49, 80)(51,
89)(55, 83)(56, 79)(58, 61)(59, 91)(62, 78)(63, 85)(65, 81)(66, 87)(68, 88)(70,
71)(75, 82)(77, 94)(84, 96)(90, 95)(92, 93)(98, 101)(99, 104)(100, 107)(102,
112)(103, 115)(105, 122)(106, 125)(109, 132)(110, 133)(111, 127)(113, 139)(114,
117)(116, 136)(118, 138)(120, 148)(121, 150)(123, 142)(124, 155)(126, 146)(128,
156)(130, 162)(131, 144)(134, 169)(137, 172)(140, 174)(141, 177)(143, 178)(145,
180)(147, 182)(149, 153)(151, 185)(152, 163)(154, 159)(157, 184)(158, 190)(160,
191)(161, 176)(164, 167)(165, 179)(168, 187)(170, 189)(171, 173)(181, 192)(183,
188) (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 **************
b: (2, 5)(3, 9)(4, 11)(6, 17)(7, 20)(8, 22)(10, 26)(12, 31)(13, 34)(14, 21)(15,
39)(16, 41)(18, 45)(19, 48)(23, 54)(24, 56)(25, 59)(27, 62)(28, 65)(29, 40)(30,
51)(32, 68)(33, 70)(35, 47)(36, 64)(37, 75)(38, 77)(43, 80)(44, 82)(46, 84)(49,
88)(50, 79)(52, 90)(55, 72)(57, 85)(58, 87)(60, 78)(61, 92)(66, 76)(67, 71)(69,
93)(73, 86)(81, 95)(83, 96)(97, 99)(98, 102)(100, 108)(101, 110)(103, 116)(104,
119)(105, 123)(106, 126)(107, 129)(109, 124)(111, 136)(112, 137)(113, 127)(114,
140)(115, 121)(117, 143)(118, 145)(120, 142)(122, 152)(125, 157)(128, 134)(130,
155)(131, 154)(132, 153)(133, 167)(135, 160)(138, 171)(139, 158)(141, 178)(144,
150)(146, 181)(147, 175)(148, 163)(149, 162)(151, 173)(156, 168)(159, 190)(161,
189)(164, 170)(165, 187)(166, 182)(169, 180)(172, 183)(174, 192)(176, 188)(177,
184)(179, 185)(186, 191)
c: (2, 4)(3, 7)(5, 11)(6, 15)(8, 21)(9, 20)(10, 24)(12, 30)(13, 33)(14, 22)(16,
40)(17, 39)(18, 43)(19, 47)(23, 52)(25, 58)(26, 56)(27, 61)(28, 64)(29, 41)(31,
51)(32, 67)(34, 70)(35, 48)(36, 65)(37, 73)(38, 76)(42, 63)(44, 55)(45, 80)(46,
60)(49, 85)(50, 81)(54, 90)(57, 88)(59, 87)(62, 92)(66, 77)(68, 71)(69, 83)(72,
82)(75, 86)(78, 84)(79, 95)(91, 94)(93, 96)(97, 98)(99, 102)(100, 106)(103,
114)(104, 118)(105, 121)(107, 128)(108, 126)(109, 131)(111, 135)(112, 138)(115,
123)(116, 140)(117, 142)(119, 145)(120, 143)(122, 151)(124, 154)(125, 156)(129,
134)(130, 161)(132, 165)(133, 166)(136, 160)(137, 171)(139, 175)(141, 176)(144,
179)(147, 158)(148, 183)(149, 184)(150, 185)(152, 173)(153, 187)(155, 189)(157,
168)(159, 170)(162, 177)(163, 172)(164, 190)(167, 182)(174, 191)(178, 188)(186,
192)
C4[ 192, 127 ]
192
-1 99 102 97 98
-2 101 112 104 97
-3 100 113 103 105
-4 101 138 118 98
-5 99 110 137 119
-6 100 111 136 120
-7 121 113 114 106
-8 122 115 139 107
-9 123 116 127 108
-10 124 126 117 109
-11 110 145 102 171
-12 111 146 103 174
-13 133 104 172 119
-14 134 147 105 173
-15 143 135 160 106
-16 148 116 127 107
-17 111 136 108 142
-18 110 137 149 109
-19 125 117 139 150
-20 115 126 127 140
-21 123 128 151 175
-22 121 158 129 152
-23 157 130 141 153
-24 154 108 131 142
-25 132 155 146 114
-26 143 124 106 109
-27 144 123 159 108
-28 133 112 180 173
-29 134 113 114 172
-30 135 146 114 191
-31 136 181 192 116
-32 169 137 117 139
-33 166 145 118 163
-34 167 104 183 119
-35 168 179 147 120
-36 122 169 171 182
-37 176 124 170 162
-38 178 135 125 191
-39 135 126 160 117
-40 127 128 183 140
-41 113 103 129 163
-42 155 102 130 98
-43 110 171 184 131
-44 132 133 172 153
-45 101 112 124 162
-46 123 134 173 175
-47 156 185 142 175
-48 143 144 157 158
-49 159 118 141 98
-50 190 150 129 163
-51 181 160 140 186
-52 176 187 168 161
-53 177 149 162 184
-54 132 155 178 125
-55 165 187 166 163
-56 154 100 120 131
-57 99 188 119 164
-58 165 189 146 103
-59 181 140 130 153
-60 115 139 129 152
-61 179 115 126 170
-62 100 190 105 150
-63 99 189 161 97
-64 166 180 138 152
-65 167 169 137 151
-66 176 168 136 192
-67 169 171 142 175
-68 143 112 158 180
-69 133 144 157 173
-70 145 148 182 118
-71 147 180 138 120
-72 165 187 148 182
-73 154 177 159 141
-74 155 189 161 130
-75 188 149 109 164
-76 111 188 156 174
-77 157 160 141 186
-78 121 122 158 107
-79 144 148 159 107
-80 154 177 101 138
-81 134 172 185 164
-82 132 167 183 153
-83 166 168 179 152
-84 147 105 128 151
-85 176 104 170 97
-86 178 190 184 131
-87 187 181 116 161
-88 145 178 102 190
-89 191 192 174 186
-90 165 188 156 189
-91 192 149 162 174
-92 121 106 185 164
-93 167 125 150 151
-94 177 191 184 186
-95 179 170 128 183
-96 122 156 182 185
-97 1 2 63 85
-98 1 4 49 42
-99 1 57 5 63
-100 56 3 6 62
-101 45 2 80 4
-102 11 88 1 42
-103 12 3 58 41
-104 34 2 13 85
-105 3 14 62 84
-106 15 26 92 7
-107 78 79 16 8
-108 24 27 17 9
-109 26 18 75 10
-110 11 5 18 43
-111 12 6 17 76
-112 45 2 68 28
-113 3 7 29 41
-114 25 7 29 30
-115 60 61 8 20
-116 16 9 31 87
-117 39 19 10 32
-118 33 4 70 49
-119 34 13 57 5
-120 56 35 71 6
-121 22 78 92 7
-122 78 36 8 96
-123 46 27 9 21
-124 45 26 37 10
-125 38 93 19 54
-126 39 61 20 10
-127 16 40 9 20
-128 40 84 95 21
-129 22 60 50 41
-130 23 59 74 42
-131 56 24 86 43
-132 44 25 82 54
-133 44 13 69 28
-134 46 14 81 29
-135 15 38 39 30
-136 66 6 17 31
-137 5 18 32 65
-138 80 4 71 64
-139 60 8 19 32
-140 59 40 51 20
-141 77 23 49 73
-142 67 24 47 17
-143 68 15 26 48
-144 79 69 48 27
-145 11 33 88 70
-146 12 25 58 30
-147 35 14 71 84
-148 79 70 16 72
-149 91 18 53 75
-150 93 50 62 19
-151 93 84 21 65
-152 22 60 83 64
-153 44 23 59 82
-154 56 24 80 73
-155 25 74 42 54
-156 90 47 96 76
-157 77 23 69 48
-158 22 78 68 48
-159 79 27 49 73
-160 77 15 39 51
-161 52 63 74 87
-162 45 91 37 53
-163 33 55 50 41
-164 57 81 92 75
-165 55 90 58 72
-166 33 55 83 64
-167 34 82 93 65
-168 66 35 83 52
-169 67 36 32 65
-170 37 61 95 85
-171 11 67 36 43
-172 44 13 81 29
-173 46 14 69 28
-174 12 89 91 76
-175 67 46 47 21
-176 66 37 52 85
-177 80 94 73 53
-178 88 38 86 54
-179 35 61 83 95
-180 68 71 28 64
-181 59 51 31 87
-182 36 70 72 96
-183 34 82 40 95
-184 94 53 86 43
-185 47 81 92 96
-186 77 89 94 51
-187 55 72 52 87
-188 57 90 75 76
-189 90 58 63 74
-190 88 50 62 86
-191 89 38 94 30
-192 66 89 91 31
0