Graph forms
for C4 [ 192, 129 ] = XI(Rmap(96,7){4,6|8}_24)
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On this page are computer-accessible forms for the graph C4[ 192, 129 ] =
XI(Rmap(96,7){4,6|8}_24).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {81, 113}, {90, 123}, {80, 114}, {82, 112}, {68, 108}, {81, 123},
{64, 107}, {83, 120}, {84, 122}, {80, 127}, {82, 125}, {81, 126}, {65, 112},
{67, 114}, {68, 117}, {70, 119}, {66, 113}, {64, 116}, {67, 121}, {69, 120},
{36, 100}, {58, 121}, {34, 103}, {63, 122}, {35, 104}, {59, 119}, {36, 105},
{49, 124}, {46, 126}, {47, 127}, {34, 115}, {33, 117}, {41, 125}, {35, 118},
{48, 103}, {49, 107}, {51, 104}, {48, 109}, {51, 110}, {50, 108}, {32, 127}, {1,
97}, {15, 111}, {14, 110}, {13, 109}, {12, 108}, {10, 106}, {9, 105}, {8, 104},
{3, 98}, {31, 126}, {29, 124}, {27, 122}, {23, 118}, {21, 116}, {19, 114}, {7,
102}, {5, 100}, {1, 99}, {5, 103}, {4, 102}, {1, 98}, {30, 125}, {26, 121}, {22,
117}, {18, 113}, {8, 107}, {6, 101}, {2, 97}, {1, 101}, {7, 99}, {3, 103}, {2,
102}, {18, 119}, {2, 100}, {15, 105}, {9, 111}, {4, 99}, {28, 123}, {20, 115},
{3, 106}, {29, 116}, {21, 124}, {4, 110}, {17, 123}, {16, 122}, {11, 97}, {5,
111}, {2, 105}, {19, 120}, {7, 108}, {4, 104}, {6, 106}, {6, 107}, {11, 102},
{3, 109}, {10, 101}, {17, 97}, {6, 116}, {17, 99}, {16, 98}, {7, 117}, {8, 124},
{11, 127}, {10, 126}, {9, 125}, {5, 115}, {15, 121}, {14, 120}, {24, 111}, {14,
118}, {9, 112}, {23, 110}, {20, 109}, {11, 114}, {13, 119}, {16, 106}, {10,
113}, {25, 98}, {12, 112}, {25, 101}, {24, 100}, {8, 118}, {13, 115}, {41, 168},
{55, 181}, {60, 190}, {36, 167}, {12, 136}, {37, 161}, {27, 159}, {26, 158},
{15, 139}, {14, 138}, {13, 137}, {48, 180}, {18, 151}, {24, 157}, {52, 177},
{56, 189}, {51, 181}, {53, 178}, {54, 177}, {40, 160}, {49, 185}, {56, 176},
{38, 175}, {43, 162}, {44, 165}, {45, 164}, {19, 152}, {42, 161}, {23, 156},
{46, 165}, {61, 182}, {12, 128}, {38, 170}, {34, 174}, {33, 173}, {32, 172},
{76, 192}, {20, 153}, {22, 155}, {30, 144}, {35, 173}, {31, 145}, {55, 185},
{21, 154}, {25, 150}, {44, 163}, {60, 179}, {62, 174}, {30, 143}, {39, 182},
{29, 143}, {31, 141}, {58, 168}, {59, 169}, {23, 132}, {60, 175}, {49, 165},
{53, 161}, {54, 162}, {55, 163}, {20, 129}, {22, 131}, {45, 184}, {17, 135},
{30, 136}, {22, 128}, {48, 166}, {61, 171}, {21, 130}, {39, 176}, {46, 185},
{27, 130}, {89, 192}, {26, 129}, {16, 140}, {56, 164}, {19, 142}, {93, 192},
{24, 133}, {18, 141}, {95, 192}, {40, 183}, {28, 131}, {25, 134}, {63, 160},
{58, 154}, {59, 155}, {33, 128}, {43, 138}, {41, 136}, {39, 134}, {37, 132},
{45, 140}, {47, 142}, {53, 148}, {57, 152}, {60, 157}, {62, 159}, {55, 149},
{38, 133}, {42, 137}, {46, 141}, {61, 158}, {58, 158}, {54, 147}, {51, 149},
{44, 139}, {52, 147}, {53, 156}, {37, 143}, {43, 129}, {47, 133}, {62, 148},
{59, 151}, {32, 142}, {42, 132}, {50, 156}, {52, 154}, {56, 150}, {57, 151},
{40, 135}, {54, 153}, {35, 147}, {57, 137}, {36, 149}, {32, 146}, {33, 147},
{44, 158}, {45, 159}, {47, 157}, {50, 128}, {62, 140}, {27, 168}, {43, 152},
{41, 154}, {57, 138}, {63, 140}, {31, 171}, {28, 169}, {37, 144}, {34, 148},
{39, 145}, {38, 144}, {50, 132}, {52, 130}, {61, 139}, {29, 170}, {26, 162},
{63, 135}, {40, 146}, {28, 160}, {42, 151}, {86, 150}, {68, 134}, {70, 133},
{85, 145}, {80, 150}, {82, 148}, {67, 139}, {88, 144}, {65, 136}, {75, 130},
{83, 152}, {84, 159}, {93, 145}, {94, 146}, {66, 143}, {84, 153}, {67, 142},
{85, 155}, {92, 146}, {66, 141}, {69, 138}, {70, 137}, {86, 134}, {74, 155},
{78, 156}, {79, 157}, {74, 153}, {96, 179}, {84, 129}, {85, 131}, {91, 131},
{96, 187}, {96, 188}, {72, 149}, {90, 135}, {96, 191}, {69, 165}, {94, 190},
{89, 185}, {82, 178}, {80, 176}, {79, 175}, {77, 173}, {71, 166}, {76, 174},
{95, 189}, {93, 191}, {86, 180}, {74, 169}, {87, 180}, {75, 168}, {92, 184},
{95, 187}, {91, 190}, {64, 166}, {89, 191}, {69, 163}, {72, 174}, {75, 172},
{91, 188}, {66, 170}, {87, 191}, {74, 162}, {70, 175}, {94, 183}, {79, 166},
{65, 171}, {71, 173}, {83, 184}, {93, 182}, {86, 186}, {87, 187}, {87, 186},
{94, 179}, {73, 167}, {83, 189}, {72, 167}, {90, 181}, {88, 183}, {78, 161},
{92, 172}, {77, 188}, {81, 160}, {88, 170}, {91, 169}, {77, 190}, {78, 189},
{68, 176}, {88, 172}, {73, 188}, {71, 177}, {78, 184}, {65, 182}, {76, 187},
{92, 164}, {64, 186}, {89, 163}, {72, 178}, {73, 179}, {79, 180}, {95, 164},
{73, 181}, {77, 177}, {75, 183}, {71, 186}, {90, 167}, {76, 178}, {85, 171}
}>;
(II) A more general form is to represent the graph as the orbit of {81, 113}
under the group generated by the following permutations:
a: (2, 4)(3, 6)(5, 8)(7, 11)(9, 14)(10, 16)(12, 19)(13, 21)(15, 23)(18, 27)(20,
29)(22, 32)(24, 35)(26, 37)(28, 40)(30, 43)(31, 45)(33, 47)(34, 49)(36, 51)(38,
54)(39, 56)(41, 57)(42, 58)(44, 53)(46, 62)(48, 64)(50, 67)(52, 70)(55, 72)(59,
75)(60, 77)(61, 78)(63, 81)(65, 83)(66, 84)(68, 80)(69, 82)(71, 79)(74, 88)(76,
89)(85, 92)(91, 94)(93, 95)(97, 99)(98, 101)(100, 104)(103, 107)(105, 110)(108,
114)(109, 116)(111, 118)(112, 120)(113, 122)(115, 124)(117, 127)(119, 130)(121,
132)(123, 135)(125, 138)(126, 140)(128, 142)(129, 143)(131, 146)(133, 147)(134,
150)(136, 152)(137, 154)(139, 156)(141, 159)(144, 162)(145, 164)(148, 165)(151,
168)(153, 170)(155, 172)(157, 173)(158, 161)(163, 178)(167, 181)(169, 183)(171,
184)(174, 185)(175, 177)(179, 188)(180, 186)(182, 189)(187, 191) (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, 3)(4, 6)(7, 10)(9, 13)(11, 16)(12, 18)(14, 21)(15, 20)(17, 25)(19,
27)(22, 31)(23, 29)(24, 34)(28, 39)(30, 42)(32, 45)(33, 46)(35, 49)(36, 48)(38,
53)(40, 56)(41, 57)(43, 58)(44, 54)(47, 62)(50, 66)(51, 64)(52, 69)(55, 71)(59,
65)(60, 76)(61, 74)(63, 80)(67, 84)(68, 81)(70, 82)(72, 79)(73, 87)(75, 83)(77,
89)(78, 88)(86, 90)(91, 93)(94, 95)(97, 98)(99, 101)(100, 103)(102, 106)(104,
107)(105, 109)(108, 113)(110, 116)(111, 115)(112, 119)(114, 122)(117, 126)(118,
124)(120, 130)(121, 129)(123, 134)(125, 137)(127, 140)(128, 141)(131, 145)(132,
143)(133, 148)(135, 150)(136, 151)(138, 154)(139, 153)(142, 159)(144, 161)(146,
164)(147, 165)(149, 166)(152, 168)(155, 171)(156, 170)(157, 174)(158, 162)(160,
176)(163, 177)(167, 180)(169, 182)(172, 184)(173, 185)(175, 178)(179, 187)(181,
186)(183, 189)(188, 191)(190, 192)
c: (1, 2)(3, 5)(4, 7)(6, 9)(8, 12)(10, 15)(11, 17)(13, 20)(14, 22)(16, 24)(18,
26)(19, 28)(21, 30)(23, 33)(25, 36)(27, 38)(29, 41)(31, 44)(32, 40)(34, 48)(35,
50)(37, 52)(39, 55)(42, 54)(43, 59)(45, 60)(46, 61)(47, 63)(49, 65)(51, 68)(53,
71)(56, 73)(57, 74)(58, 66)(62, 79)(64, 82)(67, 81)(69, 85)(70, 84)(72, 86)(75,
88)(76, 87)(77, 78)(80, 90)(83, 91)(89, 93)(92, 94)(95, 96)(98, 100)(99,
102)(101, 105)(104, 108)(106, 111)(107, 112)(109, 115)(110, 117)(113, 121)(114,
123)(116, 125)(118, 128)(119, 129)(120, 131)(122, 133)(124, 136)(126, 139)(127,
135)(130, 144)(132, 147)(134, 149)(137, 153)(138, 155)(140, 157)(141, 158)(142,
160)(143, 154)(145, 163)(148, 166)(150, 167)(151, 162)(152, 169)(156, 173)(159,
175)(161, 177)(164, 179)(165, 171)(168, 170)(172, 183)(174, 180)(176, 181)(178,
186)(182, 185)(184, 190)(188, 189)(191, 192)
C4[ 192, 129 ]
192
-1 99 101 97 98
-2 100 102 105 97
-3 103 106 98 109
-4 99 110 102 104
-5 100 111 103 115
-6 101 116 106 107
-7 99 102 117 108
-8 124 104 107 118
-9 111 112 125 105
-10 101 113 126 106
-11 102 114 127 97
-12 112 136 128 108
-13 115 137 119 109
-14 110 138 118 120
-15 121 111 105 139
-16 122 106 140 98
-17 99 123 135 97
-18 113 151 119 141
-19 114 152 120 142
-20 115 129 109 153
-21 154 124 116 130
-22 155 117 128 131
-23 110 132 156 118
-24 100 111 133 157
-25 101 134 150 98
-26 121 158 129 162
-27 122 168 159 130
-28 123 169 160 131
-29 143 124 170 116
-30 143 144 125 136
-31 145 126 171 141
-32 146 127 172 142
-33 147 117 128 173
-34 103 115 148 174
-35 147 104 118 173
-36 100 167 105 149
-37 132 143 144 161
-38 133 144 170 175
-39 176 134 145 182
-40 135 146 160 183
-41 154 168 125 136
-42 132 137 161 151
-43 138 129 162 152
-44 165 158 139 163
-45 159 140 184 164
-46 165 126 141 185
-47 133 157 127 142
-48 166 103 180 109
-49 165 124 107 185
-50 132 156 128 108
-51 110 104 181 149
-52 154 177 147 130
-53 156 178 148 161
-54 177 147 162 153
-55 181 149 163 185
-56 176 189 150 164
-57 137 138 151 152
-58 121 154 168 158
-59 155 169 151 119
-60 157 179 190 175
-61 158 171 182 139
-62 148 159 140 174
-63 122 135 160 140
-64 166 116 107 186
-65 112 136 171 182
-66 143 113 170 141
-67 121 114 139 142
-68 176 134 117 108
-69 165 138 163 120
-70 133 137 119 175
-71 166 177 173 186
-72 167 178 149 174
-73 188 167 179 181
-74 155 169 162 153
-75 168 172 183 130
-76 187 178 192 174
-77 177 188 190 173
-78 156 189 161 184
-79 166 157 180 175
-80 176 114 127 150
-81 123 113 126 160
-82 112 178 125 148
-83 189 184 152 120
-84 122 159 129 153
-85 155 145 171 131
-86 134 180 150 186
-87 187 180 191 186
-88 144 170 172 183
-89 191 192 163 185
-90 123 167 135 181
-91 188 190 169 131
-92 146 172 184 164
-93 145 191 192 182
-94 146 179 190 183
-95 187 189 192 164
-96 187 188 179 191
-97 11 1 2 17
-98 1 3 25 16
-99 1 4 17 7
-100 2 24 36 5
-101 1 25 6 10
-102 11 2 4 7
-103 34 3 48 5
-104 35 4 51 8
-105 2 36 15 9
-106 3 16 6 10
-107 49 6 8 64
-108 12 68 50 7
-109 13 3 48 20
-110 23 14 4 51
-111 24 15 5 9
-112 12 82 9 65
-113 66 81 18 10
-114 11 67 80 19
-115 34 13 5 20
-116 6 29 64 21
-117 22 33 68 7
-118 23 35 14 8
-119 13 59 70 18
-120 14 69 83 19
-121 67 58 15 26
-122 16 27 84 63
-123 90 81 17 28
-124 49 29 8 21
-125 82 30 41 9
-126 46 81 31 10
-127 11 47 80 32
-128 22 33 12 50
-129 26 84 20 43
-130 27 52 75 21
-131 22 91 28 85
-132 23 37 50 42
-133 24 47 70 38
-134 68 25 39 86
-135 90 17 40 63
-136 12 30 41 65
-137 13 57 70 42
-138 57 14 69 43
-139 44 67 15 61
-140 45 16 62 63
-141 66 46 18 31
-142 67 47 19 32
-143 66 37 29 30
-144 88 37 38 30
-145 93 39 85 31
-146 92 94 40 32
-147 33 35 52 54
-148 34 82 62 53
-149 55 36 72 51
-150 56 25 80 86
-151 57 59 18 42
-152 57 83 19 43
-153 84 74 20 54
-154 58 41 52 21
-155 22 59 74 85
-156 23 78 50 53
-157 24 79 47 60
-158 44 58 26 61
-159 45 27 62 84
-160 81 28 40 63
-161 78 37 42 53
-162 26 74 43 54
-163 44 55 89 69
-164 45 56 92 95
-165 44 46 69 49
-166 79 48 71 64
-167 90 36 72 73
-168 58 27 41 75
-169 91 59 28 74
-170 66 88 38 29
-171 61 85 31 65
-172 88 92 75 32
-173 33 77 35 71
-174 34 72 62 76
-175 79 70 38 60
-176 56 68 80 39
-177 77 71 52 54
-178 82 72 53 76
-179 60 94 73 96
-180 79 48 86 87
-181 55 90 51 73
-182 93 39 61 65
-183 88 94 40 75
-184 45 78 92 83
-185 55 89 46 49
-186 71 64 86 87
-187 95 96 76 87
-188 77 91 73 96
-189 56 78 83 95
-190 77 91 60 94
-191 89 93 96 87
-192 89 93 95 76
0