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