Graph forms
for C4 [ 192, 156 ] = BGCG(AMC(3,8,[5.5:5.2]);K2;2)
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On this page are computer-accessible forms for the graph C4[ 192, 156 ] =
BGCG(AMC(3,8,[5.5:5.2]);K2;2).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {96, 101}, {84, 118}, {88, 122}, {64, 99}, {72, 108}, {79, 107},
{92, 121}, {73, 111}, {85, 114}, {89, 113}, {92, 116}, {77, 103}, {87, 125},
{88, 115}, {71, 106}, {88, 117}, {83, 126}, {70, 104}, {70, 118}, {77, 124},
{78, 127}, {66, 112}, {95, 109}, {84, 102}, {86, 100}, {72, 123}, {68, 113},
{67, 116}, {85, 98}, {89, 97}, {74, 115}, {90, 99}, {75, 114}, {80, 105}, {79,
117}, {81, 106}, {68, 120}, {75, 119}, {85, 105}, {83, 110}, {62, 126}, {36,
101}, {47, 110}, {61, 124}, {50, 112}, {37, 97}, {57, 125}, {38, 99}, {60, 123},
{62, 121}, {33, 105}, {63, 119}, {51, 122}, {32, 106}, {41, 98}, {52, 120}, {50,
127}, {35, 109}, {42, 100}, {37, 106}, {54, 102}, {36, 117}, {40, 121}, {61,
111}, {37, 113}, {56, 108}, {49, 100}, {44, 122}, {49, 103}, {48, 102}, {52,
98}, {58, 109}, {51, 107}, {39, 126}, {41, 114}, {53, 110}, {40, 116}, {35,
125}, {40, 118}, {54, 104}, {59, 101}, {63, 97}, {44, 115}, {19, 115}, {6, 103},
{1, 99}, {6, 101}, {27, 120}, {22, 117}, {20, 119}, {8, 107}, {10, 110}, {24,
124}, {4, 97}, {20, 114}, {29, 123}, {5, 109}, {23, 127}, {1, 104}, {31, 118},
{25, 112}, {27, 113}, {2, 111}, {15, 98}, {11, 102}, {26, 116}, {3, 108}, {12,
124}, {22, 103}, {4, 119}, {31, 108}, {24, 107}, {14, 125}, {14, 122}, {16,
100}, {29, 104}, {13, 123}, {9, 126}, {15, 120}, {7, 127}, {3, 121}, {13, 112},
{18, 111}, {23, 105}, {35, 163}, {64, 192}, {2, 131}, {40, 169}, {18, 147}, {59,
186}, {2, 128}, {20, 150}, {19, 145}, {3, 129}, {55, 181}, {39, 164}, {46, 173},
{56, 187}, {38, 162}, {44, 168}, {59, 191}, {27, 158}, {42, 175}, {30, 155},
{56, 189}, {29, 154}, {53, 178}, {57, 190}, {4, 140}, {7, 143}, {13, 132}, {21,
156}, {61, 180}, {60, 182}, {1, 138}, {43, 160}, {42, 161}, {12, 135}, {58,
177}, {14, 130}, {34, 174}, {25, 149}, {21, 152}, {25, 148}, {5, 139}, {36,
170}, {28, 146}, {7, 136}, {32, 175}, {22, 153}, {18, 157}, {51, 188}, {60,
179}, {29, 141}, {54, 166}, {58, 170}, {34, 179}, {49, 160}, {58, 171}, {81,
192}, {2, 144}, {38, 180}, {19, 129}, {4, 151}, {46, 189}, {63, 172}, {17, 133},
{9, 156}, {45, 184}, {41, 188}, {28, 137}, {14, 155}, {24, 142}, {45, 187}, {63,
169}, {48, 167}, {26, 130}, {16, 137}, {32, 186}, {17, 138}, {9, 149}, {34,
190}, {26, 134}, {5, 152}, {1, 159}, {46, 176}, {41, 183}, {33, 191}, {30, 128},
{8, 150}, {59, 165}, {17, 177}, {48, 144}, {24, 184}, {42, 139}, {46, 140}, {53,
151}, {57, 155}, {62, 156}, {6, 165}, {44, 143}, {10, 169}, {15, 171}, {39,
131}, {15, 170}, {35, 134}, {21, 176}, {19, 182}, {6, 160}, {10, 172}, {55,
144}, {26, 178}, {31, 183}, {28, 181}, {33, 136}, {54, 159}, {16, 186}, {47,
133}, {45, 135}, {38, 141}, {34, 142}, {52, 152}, {11, 166}, {48, 157}, {56,
149}, {23, 185}, {16, 191}, {43, 132}, {57, 150}, {17, 161}, {47, 159}, {23,
167}, {55, 135}, {7, 182}, {43, 154}, {51, 130}, {11, 185}, {33, 146}, {39,
148}, {5, 177}, {31, 171}, {9, 189}, {8, 188}, {60, 136}, {8, 190}, {50, 132},
{47, 153}, {30, 168}, {21, 163}, {18, 165}, {32, 151}, {25, 174}, {55, 128}, {3,
187}, {49, 137}, {43, 147}, {12, 180}, {10, 178}, {12, 181}, {20, 173}, {53,
140}, {22, 172}, {36, 158}, {30, 164}, {45, 145}, {27, 166}, {50, 143}, {13,
179}, {28, 162}, {61, 131}, {52, 139}, {62, 129}, {81, 145}, {67, 130}, {91,
153}, {77, 142}, {87, 147}, {91, 159}, {72, 141}, {95, 154}, {76, 138}, {65,
134}, {71, 128}, {65, 137}, {96, 168}, {80, 152}, {84, 157}, {64, 138}, {11,
192}, {74, 129}, {92, 144}, {74, 133}, {93, 146}, {91, 148}, {67, 146}, {68,
149}, {69, 151}, {78, 156}, {87, 132}, {77, 153}, {93, 136}, {94, 139}, {66,
148}, {90, 140}, {75, 157}, {81, 135}, {83, 133}, {86, 142}, {91, 131}, {95,
134}, {73, 147}, {66, 158}, {70, 154}, {76, 145}, {69, 155}, {73, 150}, {82,
141}, {80, 176}, {94, 190}, {69, 164}, {93, 188}, {89, 184}, {89, 187}, {65,
162}, {79, 172}, {66, 166}, {73, 173}, {37, 192}, {86, 179}, {82, 180}, {78,
167}, {80, 185}, {68, 174}, {93, 183}, {90, 176}, {69, 175}, {85, 191}, {70,
171}, {76, 161}, {78, 163}, {75, 165}, {71, 168}, {96, 143}, {82, 189}, {94,
174}, {94, 175}, {88, 170}, {65, 178}, {87, 163}, {67, 181}, {79, 184}, {83,
164}, {86, 161}, {90, 162}, {64, 185}, {76, 182}, {74, 177}, {92, 167}, {71,
186}, {84, 169}, {96, 158}, {72, 183}, {95, 160}, {82, 173} }>;
(II) A more general form is to represent the graph as the orbit of {96, 101}
under the group generated by the following permutations:
a: (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11,
59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21,
69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31,
79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41,
89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 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) (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: (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, 99, 131,
121)(98, 100, 132, 122)(101, 136, 190, 109)(102, 135, 189, 110)(103, 127, 107,
152)(104, 128, 108, 151)(105, 142, 163, 117)(106, 141, 164, 118)(111, 129, 119,
138)(112, 130, 120, 137)(113, 162, 148, 116)(114, 161, 147, 115)(123, 155, 171,
186)(124, 156, 172, 185)(125, 170, 191, 179)(126, 169, 192, 180)(133, 157, 145,
173)(134, 158, 146, 174)(139, 160, 143, 188)(140, 159, 144, 187)(149, 178, 166,
181)(150, 177, 165, 182)(153, 167, 184, 176)(154, 168, 183, 175)
c: (2, 15)(3, 9)(4, 7)(5, 12)(8, 14)(10, 13)(17, 38)(18, 36)(19, 46)(20, 44)(21,
45)(22, 43)(23, 37)(24, 35)(25, 40)(26, 34)(27, 48)(28, 42)(29, 47)(30, 41)(31,
39)(32, 33)(50, 63)(51, 57)(52, 55)(53, 60)(56, 62)(58, 61)(65, 86)(66, 84)(67,
94)(68, 92)(69, 93)(70, 91)(71, 85)(72, 83)(73, 88)(74, 82)(75, 96)(76, 90)(77,
95)(78, 89)(79, 87)(80, 81)(97, 127)(98, 128)(99, 138)(100, 137)(101, 165)(102,
166)(103, 160)(104, 159)(105, 106)(107, 125)(108, 126)(109, 124)(110, 123)(111,
170)(112, 169)(113, 167)(114, 168)(115, 173)(116, 174)(117, 147)(118, 148)(119,
143)(120, 144)(121, 149)(122, 150)(129, 189)(130, 190)(131, 171)(132, 172)(133,
141)(134, 142)(135, 152)(136, 151)(139, 181)(140, 182)(145, 176)(146, 175)(153,
154)(155, 188)(156, 187)(157, 158)(161, 162)(163, 184)(164, 183)(177, 180)(178,
179)(185, 192)(186, 191)
d: (1, 17, 42, 16, 28, 38)(2, 31, 39, 15, 30, 41)(3, 25, 36, 14, 20, 48)(4, 23,
45, 13, 22, 35)(5, 32, 33, 12, 29, 47)(6, 26, 46, 11, 19, 34)(7, 24, 43, 10, 21,
37)(8, 18, 40, 9, 27, 44)(49, 65, 90, 64, 76, 86)(50, 79, 87, 63, 78, 89)(51,
73, 84, 62, 68, 96)(52, 71, 93, 61, 70, 83)(53, 80, 81, 60, 77, 95)(54, 74, 94,
59, 67, 82)(55, 72, 91, 58, 69, 85)(56, 66, 88, 57, 75, 92)(97, 127, 184, 132,
172, 163)(98, 128, 183, 131, 171, 164)(99, 138, 161, 100, 137, 162)(101, 130,
173, 102, 129, 174)(103, 134, 140, 185, 145, 179)(104, 133, 139, 186, 146,
180)(105, 135, 123, 153, 109, 151)(106, 136, 124, 154, 110, 152)(107, 147, 169,
156, 113, 143)(108, 148, 170, 155, 114, 144)(111, 118, 126, 120, 168, 188)(112,
117, 125, 119, 167, 187)(115, 190, 165, 116, 189, 166)(121, 149, 158, 122, 150,
157)(141, 159, 177, 175, 191, 181)(142, 160, 178, 176, 192, 182)
e: (2, 4)(5, 13)(6, 16)(7, 15)(8, 14)(10, 12)(17, 29)(18, 32)(19, 31)(20,
30)(21, 25)(22, 28)(23, 27)(24, 26)(33, 36)(34, 35)(37, 48)(38, 47)(39, 46)(40,
45)(41, 44)(42, 43)(50, 52)(53, 61)(54, 64)(55, 63)(56, 62)(58, 60)(65, 77)(66,
80)(67, 79)(68, 78)(69, 73)(70, 76)(71, 75)(72, 74)(81, 84)(82, 83)(85, 96)(86,
95)(87, 94)(88, 93)(89, 92)(90, 91)(97, 144)(98, 143)(99, 159)(100, 160)(101,
191)(102, 192)(103, 137)(104, 138)(105, 158)(106, 157)(107, 130)(108, 129)(109,
179)(110, 180)(111, 151)(112, 152)(113, 167)(114, 168)(115, 183)(116, 184)(117,
146)(118, 145)(119, 128)(120, 127)(121, 187)(122, 188)(123, 177)(124, 178)(125,
190)(126, 189)(131, 140)(132, 139)(133, 141)(134, 142)(135, 169)(136, 170)(147,
175)(148, 176)(149, 156)(150, 155)(153, 162)(154, 161)(163, 174)(164, 173)(165,
186)(166, 185)(171, 182)(172, 181)
C4[ 192, 156 ]
192
-1 99 104 159 138
-2 111 144 128 131
-3 121 187 129 108
-4 140 151 97 119
-5 177 139 152 109
-6 165 101 103 160
-7 143 136 127 182
-8 188 190 150 107
-9 156 189 126 149
-10 110 178 169 172
-11 166 102 192 185
-12 124 135 180 181
-13 132 112 123 179
-14 122 155 125 130
-15 170 171 98 120
-16 100 191 137 186
-17 133 177 138 161
-18 165 111 157 147
-19 145 115 182 129
-20 114 150 173 119
-21 176 156 152 163
-22 103 117 172 153
-23 167 105 127 185
-24 124 107 184 142
-25 112 148 149 174
-26 134 178 116 130
-27 166 113 158 120
-28 146 137 181 162
-29 154 123 104 141
-30 155 168 128 164
-31 171 183 118 108
-32 106 151 175 186
-33 146 136 191 105
-34 179 190 174 142
-35 134 125 163 109
-36 101 158 170 117
-37 113 192 106 97
-38 99 180 162 141
-39 126 148 131 164
-40 121 169 116 118
-41 188 114 183 98
-42 100 139 161 175
-43 132 154 147 160
-44 143 122 168 115
-45 187 145 135 184
-46 176 189 140 173
-47 110 133 159 153
-48 144 167 102 157
-49 100 103 137 160
-50 132 143 112 127
-51 122 188 107 130
-52 139 152 98 120
-53 110 178 140 151
-54 166 102 104 159
-55 144 135 181 128
-56 187 189 149 108
-57 155 190 125 150
-58 177 170 171 109
-59 165 101 191 186
-60 123 179 136 182
-61 111 124 180 131
-62 121 156 126 129
-63 169 172 97 119
-64 99 192 138 185
-65 134 178 137 162
-66 166 112 158 148
-67 146 181 116 130
-68 113 149 174 120
-69 155 151 164 175
-70 154 104 171 118
-71 168 106 128 186
-72 123 183 108 141
-73 111 147 150 173
-74 133 177 115 129
-75 165 157 114 119
-76 145 138 182 161
-77 124 103 142 153
-78 156 167 127 163
-79 117 172 107 184
-80 176 105 152 185
-81 145 135 192 106
-82 189 180 173 141
-83 110 133 126 164
-84 102 157 169 118
-85 114 191 105 98
-86 100 179 161 142
-87 132 125 147 163
-88 122 115 170 117
-89 187 113 184 97
-90 99 176 140 162
-91 148 159 131 153
-92 121 144 167 116
-93 188 146 136 183
-94 190 139 174 175
-95 154 134 160 109
-96 143 101 168 158
-97 89 4 37 63
-98 15 41 52 85
-99 1 90 38 64
-100 16 49 42 86
-101 36 59 6 96
-102 11 48 84 54
-103 22 77 49 6
-104 1 70 29 54
-105 33 23 80 85
-106 37 81 71 32
-107 24 79 51 8
-108 56 3 72 31
-109 35 58 5 95
-110 47 83 53 10
-111 2 61 18 73
-112 66 13 25 50
-113 89 68 37 27
-114 41 85 20 75
-115 44 88 19 74
-116 67 26 92 40
-117 22 88 79 36
-118 70 40 84 31
-119 4 63 20 75
-120 68 15 27 52
-121 3 92 40 62
-122 44 88 14 51
-123 13 60 72 29
-124 77 12 24 61
-125 35 57 14 87
-126 39 83 62 9
-127 23 78 50 7
-128 55 2 71 30
-129 3 62 19 74
-130 67 14 26 51
-131 2 91 39 61
-132 13 50 43 87
-133 47 17 83 74
-134 35 26 95 65
-135 55 12 45 81
-136 33 60 93 7
-137 16 49 28 65
-138 1 17 64 76
-139 5 94 52 42
-140 46 90 4 53
-141 38 82 72 29
-142 77 34 24 86
-143 44 50 7 96
-144 55 2 48 92
-145 45 81 19 76
-146 33 67 93 28
-147 18 73 43 87
-148 66 25 91 39
-149 56 68 25 9
-150 57 73 8 20
-151 69 4 53 32
-152 80 5 52 21
-153 22 77 47 91
-154 70 29 95 43
-155 57 14 69 30
-156 78 62 9 21
-157 48 18 84 75
-158 66 36 27 96
-159 1 47 91 54
-160 49 6 95 43
-161 17 42 86 76
-162 90 38 28 65
-163 78 35 21 87
-164 69 39 83 30
-165 59 6 18 75
-166 11 66 27 54
-167 23 78 48 92
-168 44 71 30 96
-169 40 84 63 10
-170 88 36 58 15
-171 58 15 70 31
-172 22 79 63 10
-173 46 82 73 20
-174 34 68 25 94
-175 69 94 42 32
-176 46 90 80 21
-177 58 5 17 74
-178 26 53 10 65
-179 34 13 60 86
-180 12 38 82 61
-181 55 12 67 28
-182 60 7 19 76
-183 93 72 41 31
-184 45 89 24 79
-185 11 23 80 64
-186 59 16 71 32
-187 45 56 89 3
-188 93 51 8 41
-189 56 46 82 9
-190 34 57 94 8
-191 33 59 16 85
-192 11 37 81 64
0