Graph forms
for C4 [ 204, 12 ] = AT[204,8]
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 204, 12 ] =
AT[204,8].
(I) Following is a form readable by MAGMA:
g:=Graph<204|{ {96, 97}, {184, 185}, {146, 147}, {98, 99}, {1, 3}, {181, 183},
{177, 179}, {149, 151}, {49, 51}, {1, 2}, {93, 94}, {1, 5}, {195, 199}, {186,
190}, {178, 182}, {2, 6}, {1, 4}, {67, 70}, {2, 7}, {131, 134}, {163, 165},
{139, 140}, {3, 11}, {148, 156}, {4, 12}, {2, 8}, {182, 188}, {5, 15}, {4, 14},
{3, 9}, {81, 91}, {102, 108}, {37, 46}, {194, 201}, {149, 158}, {52, 56}, {150,
154}, {80, 92}, {119, 123}, {183, 186}, {3, 13}, {163, 173}, {4, 10}, {68, 74},
{166, 169}, {6, 22}, {10, 26}, {9, 25}, {8, 24}, {7, 23}, {169, 184}, {174,
191}, {6, 20}, {12, 30}, {7, 21}, {100, 118}, {8, 27}, {65, 82}, {5, 17}, {175,
187}, {8, 28}, {7, 19}, {134, 147}, {6, 16}, {11, 29}, {9, 31}, {5, 18}, {172,
187}, {32, 55}, {162, 186}, {71, 91}, {168, 180}, {141, 145}, {75, 106}, {152,
185}, {13, 47}, {133, 167}, {132, 166}, {70, 100}, {77, 111}, {128, 162}, {17,
50}, {156, 191}, {21, 54}, {68, 103}, {14, 42}, {148, 176}, {142, 170}, {84,
112}, {131, 167}, {75, 110}, {14, 40}, {154, 188}, {18, 52}, {15, 41}, {72,
110}, {16, 55}, {31, 56}, {20, 51}, {17, 57}, {21, 61}, {18, 59}, {151, 190},
{9, 35}, {13, 39}, {12, 38}, {11, 33}, {10, 32}, {71, 109}, {79, 101}, {86,
124}, {87, 125}, {19, 56}, {153, 178}, {133, 174}, {19, 63}, {132, 168}, {128,
172}, {10, 36}, {29, 51}, {20, 58}, {16, 62}, {12, 34}, {11, 37}, {67, 115},
{155, 171}, {141, 189}, {140, 188}, {130, 179}, {131, 178}, {25, 43}, {152,
170}, {15, 60}, {76, 121}, {157, 168}, {92, 105}, {76, 122}, {135, 177}, {79,
121}, {154, 173}, {155, 172}, {147, 171}, {138, 179}, {150, 175}, {15, 53}, {16,
43}, {144, 171}, {143, 180}, {84, 104}, {13, 48}, {159, 162}, {140, 177}, {19,
46}, {17, 44}, {69, 123}, {95, 97}, {14, 49}, {146, 173}, {18, 45}, {69, 122},
{24, 88}, {42, 106}, {31, 95}, {30, 94}, {29, 93}, {33, 96}, {63, 126}, {39,
102}, {37, 100}, {35, 98}, {129, 192}, {25, 91}, {139, 201}, {34, 97}, {38,
101}, {130, 193}, {41, 109}, {134, 194}, {47, 107}, {45, 105}, {61, 120}, {26,
92}, {47, 105}, {36, 99}, {137, 193}, {46, 103}, {53, 124}, {31, 85}, {62, 116},
{38, 108}, {128, 202}, {129, 203}, {25, 82}, {60, 119}, {52, 127}, {36, 111},
{28, 87}, {49, 125}, {135, 203}, {50, 126}, {30, 83}, {139, 198}, {59, 118},
{57, 116}, {37, 104}, {35, 110}, {38, 104}, {43, 101}, {27, 84}, {58, 117}, {54,
121}, {40, 103}, {42, 123}, {23, 69}, {158, 204}, {28, 78}, {35, 112}, {145,
194}, {20, 64}, {159, 203}, {156, 200}, {30, 74}, {29, 73}, {28, 72}, {23, 67},
{22, 66}, {21, 65}, {36, 113}, {157, 200}, {47, 122}, {39, 114}, {27, 77}, {24,
79}, {62, 105}, {55, 96}, {22, 76}, {49, 107}, {48, 106}, {26, 64}, {40, 115},
{54, 109}, {24, 68}, {27, 71}, {26, 70}, {22, 75}, {153, 196}, {152, 197}, {23,
73}, {50, 108}, {164, 196}, {166, 198}, {164, 197}, {170, 203}, {48, 83}, {165,
193}, {45, 72}, {165, 192}, {44, 74}, {161, 199}, {53, 83}, {53, 82}, {160,
199}, {61, 90}, {44, 69}, {164, 200}, {42, 71}, {167, 202}, {32, 78}, {41, 70},
{163, 204}, {58, 85}, {33, 80}, {176, 193}, {34, 81}, {180, 192}, {185, 204},
{32, 86}, {191, 201}, {41, 95}, {189, 202}, {33, 89}, {190, 198}, {34, 90}, {52,
77}, {50, 78}, {189, 192}, {43, 136}, {44, 136}, {46, 138}, {45, 137}, {39,
130}, {63, 152}, {40, 131}, {60, 144}, {63, 147}, {62, 146}, {61, 145}, {116,
196}, {48, 129}, {117, 196}, {59, 143}, {114, 198}, {119, 195}, {118, 195},
{115, 197}, {57, 142}, {116, 195}, {51, 139}, {56, 128}, {112, 200}, {113, 201},
{122, 194}, {54, 140}, {55, 141}, {118, 204}, {60, 135}, {57, 132}, {59, 134},
{119, 202}, {120, 197}, {121, 199}, {58, 133}, {124, 188}, {125, 189}, {126,
190}, {127, 191}, {91, 153}, {85, 145}, {66, 135}, {88, 157}, {90, 159}, {73,
143}, {89, 158}, {102, 174}, {68, 141}, {99, 169}, {127, 181}, {87, 156}, {124,
176}, {86, 155}, {120, 181}, {64, 142}, {65, 142}, {85, 154}, {112, 160}, {113,
161}, {126, 175}, {106, 184}, {114, 160}, {115, 161}, {64, 148}, {65, 151},
{109, 187}, {66, 149}, {96, 183}, {98, 181}, {99, 187}, {97, 184}, {111, 182},
{77, 151}, {88, 130}, {108, 182}, {66, 153}, {89, 133}, {107, 183}, {75, 150},
{89, 132}, {73, 150}, {74, 171}, {104, 137}, {72, 170}, {93, 185}, {94, 186},
{110, 138}, {67, 166}, {123, 157}, {125, 149}, {76, 165}, {102, 143}, {90, 176},
{95, 180}, {78, 163}, {79, 162}, {92, 177}, {94, 179}, {117, 155}, {93, 178},
{80, 160}, {81, 161}, {98, 146}, {120, 136}, {84, 167}, {103, 148}, {83, 164},
{88, 175}, {113, 137}, {114, 136}, {100, 159}, {101, 158}, {107, 144}, {80,
172}, {81, 173}, {82, 174}, {86, 168}, {87, 169}, {127, 129}, {111, 144}, {117,
138} }>;
(II) A more general form is to represent the graph as the orbit of {96, 97}
under the group generated by the following permutations:
a: (3, 4, 5)(6, 8, 7)(9, 14, 17)(10, 18, 11)(12, 15, 13)(16, 27, 23)(19, 20,
28)(21, 22, 24)(25, 42, 44)(26, 45, 37)(29, 32, 52)(30, 53, 48)(31, 49, 50)(33,
36, 59)(34, 60, 39)(35, 40, 57)(38, 41, 47)(43, 71, 69)(46, 64, 72)(51, 78,
56)(54, 76, 79)(55, 77, 73)(58, 87, 63)(61, 66, 88)(62, 84, 67)(65, 75, 68)(70,
105, 104)(74, 82, 106)(80, 113, 118)(81, 119, 114)(85, 125, 126)(86, 127,
93)(89, 99, 134)(90, 135, 130)(91, 123, 136)(92, 137, 100)(94, 124, 129)(95,
107, 108)(96, 111, 143)(97, 144, 102)(98, 131, 132)(101, 109, 122)(103, 142,
110)(112, 115, 116)(117, 156, 152)(120, 153, 157)(128, 139, 163)(133, 169,
147)(138, 148, 170)(140, 165, 162)(141, 151, 150)(145, 149, 175)(146, 167,
166)(154, 189, 190)(155, 191, 185)(158, 187, 194)(159, 177, 193)(160, 161,
195)(168, 181, 178)(171, 174, 184)(172, 201, 204)(173, 202, 198)(176, 203,
179)(180, 183, 182)(186, 188, 192)(196, 200, 197) (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, 4, 3)(6, 14, 11)(7, 10, 13)(8, 12, 9)(15, 18, 17)(16, 42, 37)(19, 32,
48)(20, 49, 29)(21, 36, 39)(22, 40, 33)(23, 26, 47)(24, 34, 35)(25, 27, 38)(28,
30, 31)(41, 45, 44)(43, 71, 104)(46, 55, 106)(50, 53, 52)(54, 113, 114)(56, 78,
83)(57, 60, 59)(58, 125, 93)(61, 99, 130)(62, 123, 100)(63, 86, 129)(64, 107,
73)(65, 111, 102)(66, 131, 89)(67, 92, 122)(68, 97, 110)(69, 70, 105)(72, 74,
95)(75, 103, 96)(76, 115, 80)(77, 108, 82)(79, 81, 112)(84, 101, 91)(85, 87,
94)(88, 90, 98)(109, 137, 136)(116, 119, 118)(117, 189, 185)(120, 187, 193)(121,
161, 160)(124, 127, 126)(128, 163, 164)(132, 135, 134)(133, 149, 178)(138, 141,
184)(140, 201, 198)(142, 144, 143)(145, 169, 179)(146, 157, 159)(147, 168,
203)(148, 183, 150)(151, 182, 174)(152, 155, 192)(153, 167, 158)(154, 156,
186)(162, 173, 200)(165, 197, 172)(166, 177, 194)(170, 171, 180)(175, 176,
181)(188, 191, 190)(196, 202, 204)
c: (1, 2)(3, 6)(4, 7)(5, 8)(9, 16)(10, 19)(11, 20)(12, 21)(13, 22)(14, 23)(15,
24)(17, 27)(18, 28)(25, 43)(26, 46)(29, 51)(30, 54)(31, 55)(32, 56)(33, 58)(34,
61)(35, 62)(36, 63)(37, 64)(38, 65)(39, 66)(40, 67)(41, 68)(42, 69)(44, 71)(45,
72)(47, 75)(48, 76)(49, 73)(50, 77)(52, 78)(53, 79)(57, 84)(59, 87)(60, 88)(70,
103)(74, 109)(80, 117)(81, 120)(82, 101)(83, 121)(85, 96)(86, 128)(89, 133)(91,
136)(92, 138)(93, 139)(94, 140)(95, 141)(97, 145)(98, 146)(99, 147)(100,
148)(102, 149)(104, 142)(105, 110)(106, 122)(107, 150)(108, 151)(111, 126)(112,
116)(113, 152)(114, 153)(118, 156)(119, 157)(124, 162)(125, 143)(127, 163)(129,
165)(130, 135)(131, 166)(132, 167)(134, 169)(137, 170)(144, 175)(154, 183)(155,
172)(158, 174)(159, 176)(160, 196)(161, 197)(164, 199)(168, 202)(171, 187)(173,
181)(177, 179)(178, 198)(180, 189)(182, 190)(184, 194)(185, 201)(186, 188)(191,
204)(193, 203)(195, 200)
C4[ 204, 12 ]
204
-1 2 3 4 5
-2 1 6 7 8
-3 11 1 13 9
-4 1 12 14 10
-5 1 15 17 18
-6 22 2 16 20
-7 23 2 19 21
-8 2 24 27 28
-9 35 3 25 31
-10 36 4 26 32
-11 33 3 37 29
-12 34 4 38 30
-13 3 47 48 39
-14 4 49 40 42
-15 5 60 41 53
-16 55 6 62 43
-17 44 57 5 50
-18 45 59 5 52
-19 56 46 7 63
-20 58 6 51 64
-21 61 7 54 65
-22 66 6 75 76
-23 67 69 7 73
-24 88 68 79 8
-25 91 82 9 43
-26 70 92 64 10
-27 77 71 84 8
-28 78 72 8 87
-29 11 93 51 73
-30 12 83 94 74
-31 56 95 85 9
-32 55 78 86 10
-33 11 89 80 96
-34 12 90 81 97
-35 110 112 9 98
-36 99 111 113 10
-37 11 100 46 104
-38 12 101 104 108
-39 13 102 114 130
-40 14 103 115 131
-41 15 70 95 109
-42 123 14 71 106
-43 101 25 136 16
-44 69 136 17 74
-45 137 72 105 18
-46 37 103 138 19
-47 122 13 105 107
-48 13 83 106 129
-49 14 125 51 107
-50 78 126 17 108
-51 49 29 139 20
-52 77 56 127 18
-53 124 15 82 83
-54 121 140 21 109
-55 16 96 141 32
-56 128 19 52 31
-57 132 17 116 142
-58 133 117 85 20
-59 143 134 18 118
-60 144 135 15 119
-61 90 145 21 120
-62 146 16 105 116
-63 147 126 19 152
-64 26 148 20 142
-65 82 151 21 142
-66 22 135 149 153
-67 23 166 70 115
-68 24 103 74 141
-69 44 23 122 123
-70 67 100 26 41
-71 91 27 42 109
-72 110 45 170 28
-73 143 23 29 150
-74 44 68 171 30
-75 22 110 106 150
-76 22 121 165 122
-77 111 27 52 151
-78 28 50 163 32
-79 121 24 101 162
-80 33 92 160 172
-81 34 91 161 173
-82 25 53 174 65
-83 48 30 53 164
-84 112 167 27 104
-85 154 145 58 31
-86 155 124 168 32
-87 156 125 169 28
-88 24 157 130 175
-89 33 132 133 158
-90 176 34 159 61
-91 25 81 71 153
-92 177 80 26 105
-93 178 94 29 185
-94 179 93 30 186
-95 180 41 31 97
-96 33 55 183 97
-97 34 95 96 184
-98 99 35 146 181
-99 187 36 169 98
-100 37 70 159 118
-101 79 158 38 43
-102 143 39 108 174
-103 46 68 148 40
-104 37 38 137 84
-105 45 47 92 62
-106 48 184 42 75
-107 144 47 49 183
-108 102 38 50 182
-109 187 71 41 54
-110 35 72 138 75
-111 77 144 36 182
-112 35 200 160 84
-113 36 201 137 161
-114 198 136 39 160
-115 67 40 161 197
-116 57 62 195 196
-117 155 58 138 196
-118 100 59 204 195
-119 123 202 60 195
-120 136 181 61 197
-121 199 79 54 76
-122 47 69 194 76
-123 69 157 42 119
-124 176 188 53 86
-125 189 49 149 87
-126 190 50 63 175
-127 191 181 52 129
-128 56 202 172 162
-129 48 192 203 127
-130 88 179 39 193
-131 134 167 178 40
-132 89 166 57 168
-133 89 167 58 174
-134 59 147 194 131
-135 66 177 60 203
-136 44 114 43 120
-137 45 113 104 193
-138 110 46 179 117
-139 198 201 51 140
-140 177 188 139 54
-141 55 68 145 189
-142 57 170 64 65
-143 102 59 180 73
-144 111 60 171 107
-145 61 194 85 141
-146 147 62 173 98
-147 134 146 171 63
-148 176 156 103 64
-149 66 125 158 151
-150 154 73 75 175
-151 77 190 149 65
-152 170 63 185 197
-153 66 178 91 196
-154 188 150 85 173
-155 171 117 172 86
-156 200 191 148 87
-157 88 123 200 168
-158 89 101 149 204
-159 100 90 203 162
-160 199 112 80 114
-161 199 113 81 115
-162 79 159 128 186
-163 165 78 204 173
-164 200 83 196 197
-165 192 193 163 76
-166 132 198 67 169
-167 133 202 84 131
-168 132 157 180 86
-169 99 166 184 87
-170 203 72 152 142
-171 144 155 147 74
-172 187 155 80 128
-173 154 146 81 163
-174 133 102 191 82
-175 88 187 126 150
-176 90 124 148 193
-177 135 179 92 140
-178 93 182 131 153
-179 177 94 138 130
-180 143 168 192 95
-181 127 183 98 120
-182 111 188 178 108
-183 181 96 107 186
-184 169 106 97 185
-185 93 204 184 152
-186 190 94 183 162
-187 99 172 109 175
-188 154 124 182 140
-189 125 202 192 141
-190 198 126 151 186
-191 156 201 127 174
-192 165 189 180 129
-193 165 176 137 130
-194 122 134 145 201
-195 199 116 118 119
-196 116 117 153 164
-197 115 152 120 164
-198 166 190 114 139
-199 121 160 161 195
-200 112 156 157 164
-201 113 191 139 194
-202 167 189 128 119
-203 135 159 170 129
-204 158 118 163 185
0