Graph forms
for C4 [ 294, 8 ] = MSZ(42,7,13,3)
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On this page are computer-accessible forms for the graph C4[ 294, 8 ] =
MSZ(42,7,13,3).
(I) Following is a form readable by MAGMA:
g:=Graph<294|{ {2, 3}, {292, 293}, {290, 291}, {288, 289}, {286, 287}, {284,
285}, {282, 283}, {280, 281}, {278, 279}, {276, 277}, {274, 275}, {272, 273},
{270, 271}, {268, 269}, {266, 267}, {264, 265}, {262, 263}, {260, 261}, {258,
259}, {256, 257}, {254, 255}, {250, 251}, {248, 249}, {246, 247}, {244, 245},
{242, 243}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110,
111}, {108, 109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96,
97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {82, 83}, {80, 81}, {78,
79}, {76, 77}, {74, 75}, {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}, {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}, {122, 123}, {124, 125}, {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}, {170,
171}, {172, 173}, {174, 175}, {176, 177}, {178, 179}, {180, 181}, {182, 183},
{184, 185}, {186, 187}, {188, 189}, {190, 191}, {192, 193}, {194, 195}, {196,
197}, {198, 199}, {200, 201}, {202, 203}, {204, 205}, {206, 207}, {208, 209},
{212, 213}, {214, 215}, {216, 217}, {218, 219}, {220, 221}, {222, 223}, {224,
225}, {226, 227}, {228, 229}, {230, 231}, {232, 233}, {234, 235}, {236, 237},
{238, 239}, {240, 241}, {1, 2}, {293, 294}, {289, 290}, {285, 286}, {281, 282},
{277, 278}, {273, 274}, {269, 270}, {265, 266}, {261, 262}, {257, 258}, {253,
254}, {249, 250}, {245, 246}, {241, 242}, {117, 118}, {113, 114}, {109, 110},
{105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77,
78}, {73, 74}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29,
30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {57, 58}, {61,
62}, {65, 66}, {69, 70}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137,
138}, {141, 142}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162},
{165, 166}, {169, 170}, {173, 174}, {177, 178}, {181, 182}, {185, 186}, {189,
190}, {193, 194}, {197, 198}, {201, 202}, {205, 206}, {209, 210}, {213, 214},
{217, 218}, {221, 222}, {225, 226}, {229, 230}, {233, 234}, {237, 238}, {3, 4},
{291, 292}, {283, 284}, {275, 276}, {267, 268}, {259, 260}, {251, 252}, {243,
244}, {115, 116}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {11, 12},
{19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {123,
124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172},
{179, 180}, {187, 188}, {195, 196}, {203, 204}, {211, 212}, {219, 220}, {227,
228}, {235, 236}, {114, 127}, {240, 253}, {162, 175}, {210, 223}, {7, 8}, {279,
280}, {263, 264}, {247, 248}, {119, 120}, {103, 104}, {87, 88}, {23, 24}, {39,
40}, {55, 56}, {71, 72}, {135, 136}, {151, 152}, {167, 168}, {183, 184}, {199,
200}, {215, 216}, {231, 232}, {36, 49}, {78, 91}, {198, 211}, {204, 217}, {34,
63}, {42, 55}, {64, 93}, {72, 85}, {160, 189}, {168, 181}, {226, 255}, {15, 16},
{271, 272}, {111, 112}, {79, 80}, {47, 48}, {143, 144}, {175, 176}, {207, 208},
{239, 240}, {22, 51}, {76, 105}, {28, 57}, {70, 99}, {142, 171}, {148, 177},
{196, 225}, {1, 42}, {85, 126}, {154, 183}, {202, 231}, {211, 252}, {30, 43},
{84, 97}, {156, 169}, {192, 247}, {200, 255}, {6, 61}, {66, 121}, {16, 45}, {82,
111}, {208, 237}, {31, 32}, {287, 288}, {95, 96}, {132, 187}, {159, 160}, {223,
224}, {24, 95}, {136, 207}, {144, 215}, {168, 239}, {18, 89}, {130, 201}, {138,
193}, {150, 221}, {158, 213}, {162, 233}, {174, 229}, {178, 249}, {186, 241},
{4, 75}, {12, 67}, {36, 107}, {52, 123}, {60, 115}, {24, 79}, {48, 103}, {144,
199}, {10, 81}, {18, 73}, {42, 113}, {46, 117}, {54, 109}, {150, 205}, {172,
243}, {180, 235}, {2, 99}, {8, 105}, {14, 111}, {20, 117}, {26, 123}, {128,
225}, {134, 231}, {140, 237}, {146, 243}, {152, 249}, {157, 254}, {166, 195},
{190, 219}, {40, 69}, {58, 87}, {184, 213}, {6, 119}, {12, 125}, {132, 245},
{138, 251}, {32, 87}, {30, 101}, {38, 93}, {169, 210}, {43, 84}, {63, 64}, {156,
227}, {164, 219}, {191, 192}, {1, 140}, {97, 236}, {19, 158}, {49, 188}, {67,
206}, {34, 173}, {82, 221}, {48, 161}, {90, 203}, {54, 167}, {17, 130}, {113,
226}, {29, 142}, {125, 238}, {7, 146}, {109, 248}, {103, 242}, {13, 152}, {59,
172}, {83, 196}, {32, 187}, {76, 215}, {40, 179}, {68, 223}, {43, 182}, {23,
136}, {119, 232}, {98, 253}, {31, 128}, {44, 141}, {110, 207}, {104, 201}, {98,
195}, {50, 147}, {56, 153}, {62, 159}, {37, 134}, {121, 218}, {5, 160}, {95,
250}, {14, 169}, {115, 212}, {11, 166}, {89, 244}, {26, 181}, {74, 229}, {96,
209}, {41, 154}, {101, 214}, {10, 191}, {85, 224}, {64, 245}, {35, 148}, {107,
220}, {20, 175}, {80, 235}, {126, 197}, {4, 185}, {91, 230}, {25, 164}, {70,
251}, {60, 131}, {2, 199}, {8, 205}, {50, 247}, {33, 230}, {120, 191}, {88,
159}, {72, 143}, {57, 254}, {39, 236}, {114, 185}, {102, 173}, {90, 145}, {74,
129}, {66, 137}, {122, 177}, {28, 209}, {46, 227}, {21, 218}, {108, 163}, {84,
155}, {16, 197}, {58, 239}, {80, 135}, {127, 168}, {15, 212}, {78, 149}, {22,
203}, {44, 241}, {52, 233}, {108, 179}, {116, 171}, {5, 228}, {92, 189}, {86,
183}, {11, 234}, {17, 240}, {23, 246}, {29, 252}, {68, 165}, {73, 170}, {47,
202}, {118, 147}, {100, 129}, {53, 208}, {124, 153}, {38, 193}, {62, 217}, {56,
211}, {106, 135}, {3, 242}, {9, 248}, {65, 178}, {77, 190}, {55, 194}, {61,
200}, {126, 139}, {41, 222}, {96, 151}, {27, 224}, {102, 157}, {94, 165}, {35,
216}, {112, 141}, {120, 133}, {71, 184}, {79, 176}, {127, 128}, {21, 286}, {3,
268}, {19, 258}, {25, 264}, {31, 270}, {51, 290}, {15, 280}, {1, 282}, {9, 274},
{33, 256}, {39, 262}, {47, 270}, {53, 276}, {59, 282}, {7, 288}, {13, 294}, {37,
276}, {45, 284}, {63, 260}, {27, 292}, {81, 278}, {86, 283}, {94, 275}, {69,
266}, {77, 258}, {88, 269}, {112, 293}, {75, 272}, {83, 264}, {65, 288}, {71,
294}, {110, 265}, {104, 259}, {122, 277}, {106, 287}, {127, 266}, {118, 257},
{116, 271}, {124, 263}, {92, 289}, {100, 281}, {145, 284}, {143, 256}, {180,
293}, {149, 262}, {133, 272}, {155, 268}, {131, 286}, {139, 278}, {170, 267},
{176, 273}, {182, 279}, {188, 285}, {163, 260}, {137, 292}, {174, 287}, {161,
274}, {151, 290}, {186, 257}, {167, 280}, {192, 263}, {198, 269}, {206, 261},
{210, 281}, {214, 285}, {222, 277}, {234, 289}, {216, 271}, {253, 294}, {204,
275}, {194, 291}, {238, 267}, {244, 273}, {232, 261}, {250, 279}, {246, 259},
{252, 265}, {220, 291}, {255, 256}, {228, 283} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (2, 42, 282, 140)(3, 55, 283, 237, 199, 41, 59, 139)(4, 54, 284, 236, 200,
222, 172, 138)(5, 53, 145, 39, 61, 277, 243, 193)(6, 276, 146, 38)(7, 37)(8, 36,
288, 134)(9, 49, 289, 231, 205, 35, 65, 133)(10, 48, 290, 230, 206, 216, 178,
132)(11, 47, 151, 33, 67, 271, 249, 187)(12, 270, 152, 32)(13, 31)(14, 30, 294,
128)(15, 43, 253, 225, 169, 29, 71, 127)(16, 84, 254, 224, 170, 252, 184,
168)(17, 83, 157, 27, 73, 265, 213, 181)(18, 264, 158, 26)(19, 25)(20, 24, 258,
164)(21, 79, 259, 219, 175, 23, 77, 163)(22, 78, 260, 218, 176, 246, 190,
162)(28, 72, 266, 212, 182, 240, 196, 156)(34, 66, 272, 248, 188, 234, 202,
150)(40, 60, 278, 242, 194, 228, 208, 144)(44, 98, 226, 210, 142, 70, 114,
280)(45, 97, 255, 223, 171, 251, 185, 167)(46, 96, 256, 68, 116, 250, 186,
166)(50, 92, 232, 204, 148, 64, 120, 274)(51, 91, 261, 217, 177, 245, 191,
161)(52, 90, 262, 62, 122, 244, 192, 160)(56, 86, 238, 198, 154, 58, 126,
268)(57, 85, 267, 211, 183, 239, 197, 155)(63, 121, 273, 247, 189, 233, 203,
149)(69, 115, 279, 241, 195, 227, 209, 143)(74, 110, 214, 180, 130, 82, 102,
292)(75, 109, 285, 235, 201, 221, 173, 137)(76, 108, 286, 80, 104, 220, 174,
136)(81, 103, 291, 229, 207, 215, 179, 131)(87, 125, 269, 153)(88, 124)(89, 263,
159, 123)(93, 119, 275, 147)(94, 118)(95, 257, 165, 117)(99, 113, 281, 141)(100,
112)(101, 293, 129, 111)(105, 107, 287, 135) (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, 99, 100, 281, 282)(3, 70, 129, 210, 283, 42)(4, 69, 74, 223, 228,
41)(5, 40, 75, 68, 229, 222)(6, 39, 76, 165, 174, 277)(7, 38, 105, 94, 287,
276)(8, 93, 106, 275, 288, 37)(9, 64, 135, 204, 289, 36)(10, 63, 80, 217, 234,
35)(11, 34, 81, 62, 235, 216)(12, 33, 82, 159, 180, 271)(13, 32, 111, 88, 293,
270)(14, 87, 112, 269, 294, 31)(15, 58, 141, 198, 253, 30)(16, 57, 44, 211, 240,
29)(17, 28, 45, 56, 241, 252)(18, 27, 46, 153, 186, 265)(19, 26, 117, 124, 257,
264)(20, 123, 118, 263, 258, 25)(21, 52, 147, 192, 259, 24)(22, 51, 50, 247,
246, 23)(43, 212, 239, 142, 197, 254)(47, 152, 187, 110, 89, 292)(48, 249, 132,
207, 90, 291)(49, 248, 245, 136, 203, 290)(53, 146, 193, 104, 95, 286)(54, 243,
138, 201, 96, 285)(55, 242, 251, 130, 209, 284)(59, 140, 199, 98, 101, 280)(60,
237, 144, 195, 102, 279)(61, 236, 215, 166, 173, 278)(65, 134, 205, 92, 107,
274)(66, 231, 150, 189, 108, 273)(67, 230, 221, 160, 179, 272)(71, 128, 169, 86,
113, 268)(72, 225, 156, 183, 114, 267)(73, 224, 227, 154, 185, 266)(77, 164,
175, 122, 119, 262)(78, 219, 162, 177, 120, 261)(79, 218, 233, 148, 191,
260)(83, 158, 181, 116, 125, 256)(84, 213, 168, 171, 126, 255)(85, 226, 155,
184, 127, 170)(91, 220, 161, 178, 133, 206)(97, 214, 167, 172, 139, 200)(103,
250, 131, 208, 145, 194)(109, 244, 137, 202, 151, 188)(115, 238, 143, 196, 157,
182)(121, 232, 149, 190, 163, 176)
c: (2, 140)(3, 139)(4, 278)(5, 277)(6, 276)(7, 37)(8, 134)(9, 133)(10, 272)(11,
271)(12, 270)(13, 31)(14, 128)(15, 127)(16, 266)(17, 265)(18, 264)(19, 25)(20,
164)(21, 163)(22, 260)(23, 259)(24, 258)(26, 158)(27, 157)(28, 254)(29, 253)(30,
294)(32, 152)(33, 151)(34, 290)(35, 289)(36, 288)(38, 146)(39, 145)(40, 284)(41,
283)(42, 282)(43, 71)(44, 70)(45, 69)(46, 68)(47, 67)(48, 66)(49, 65)(50,
64)(51, 63)(52, 62)(53, 61)(54, 60)(55, 59)(56, 58)(72, 84)(73, 83)(74, 82)(75,
81)(76, 80)(77, 79)(85, 155)(86, 154)(87, 153)(88, 124)(89, 263)(90, 262)(91,
149)(92, 148)(93, 147)(94, 118)(95, 257)(96, 256)(97, 143)(98, 142)(99,
141)(100, 112)(101, 293)(102, 292)(103, 137)(104, 136)(105, 135)(107, 287)(108,
286)(109, 131)(110, 130)(111, 129)(113, 281)(114, 280)(115, 167)(116, 166)(117,
165)(119, 275)(120, 274)(121, 161)(122, 160)(123, 159)(125, 269)(126, 268)(132,
248)(138, 242)(144, 236)(150, 230)(156, 224)(162, 218)(168, 212)(169, 225)(170,
196)(171, 195)(172, 194)(173, 291)(174, 220)(175, 219)(176, 190)(177, 189)(178,
188)(179, 285)(180, 214)(181, 213)(182, 184)(185, 279)(186, 250)(187, 249)(191,
273)(192, 244)(193, 243)(197, 267)(198, 238)(199, 237)(200, 208)(201, 207)(202,
206)(203, 261)(204, 232)(205, 231)(209, 255)(210, 226)(211, 239)(215, 235)(216,
234)(217, 233)(221, 229)(222, 228)(223, 227)(240, 252)(241, 251)(245, 247)
C4[ 294, 8 ]
294
-1 2 282 140 42
-2 99 1 199 3
-3 242 2 4 268
-4 3 5 75 185
-5 4 6 160 228
-6 5 61 7 119
-7 288 146 6 8
-8 105 7 205 9
-9 248 8 10 274
-10 11 81 191 9
-11 12 166 234 10
-12 11 67 13 125
-13 12 14 294 152
-14 111 13 15 169
-15 14 212 16 280
-16 45 15 17 197
-17 16 18 130 240
-18 89 17 73 19
-19 158 258 18 20
-20 117 19 21 175
-21 22 286 20 218
-22 23 203 51 21
-23 22 24 136 246
-24 23 79 25 95
-25 264 24 26 164
-26 123 25 27 181
-27 26 224 28 292
-28 209 57 27 29
-29 28 30 142 252
-30 101 29 31 43
-31 270 128 30 32
-32 33 187 31 87
-33 34 256 32 230
-34 33 35 63 173
-35 34 36 148 216
-36 35 37 49 107
-37 276 134 36 38
-38 37 93 39 193
-39 38 236 40 262
-40 69 179 39 41
-41 154 222 40 42
-42 55 1 113 41
-43 44 182 84 30
-44 45 141 43 241
-45 44 46 16 284
-46 45 47 117 227
-47 46 48 202 270
-48 47 103 49 161
-49 188 36 48 50
-50 147 49 247 51
-51 22 290 50 52
-52 123 233 51 53
-53 276 52 54 208
-54 55 167 53 109
-55 56 194 42 54
-56 55 57 211 153
-57 56 254 58 28
-58 57 59 239 87
-59 58 60 172 282
-60 59 115 61 131
-61 200 60 6 62
-62 159 61 63 217
-63 34 62 260 64
-64 245 93 63 65
-65 66 178 288 64
-66 121 67 137 65
-67 66 12 68 206
-68 165 67 69 223
-69 68 266 70 40
-70 99 69 71 251
-71 70 72 184 294
-72 143 71 73 85
-73 170 72 18 74
-74 73 129 75 229
-75 4 74 272 76
-76 77 105 215 75
-77 78 190 258 76
-78 77 79 91 149
-79 176 78 24 80
-80 79 135 81 235
-81 80 278 82 10
-82 111 221 81 83
-83 264 82 84 196
-84 155 83 97 43
-85 224 126 72 86
-86 183 85 283 87
-87 88 58 86 32
-88 89 159 269 87
-89 88 90 244 18
-90 89 145 91 203
-91 78 90 92 230
-92 189 91 289 93
-93 92 38 94 64
-94 165 275 93 95
-95 24 94 96 250
-96 209 95 151 97
-97 236 84 96 98
-98 99 253 195 97
-99 100 2 70 98
-100 99 101 281 129
-101 100 102 214 30
-102 101 157 103 173
-103 242 102 48 104
-104 201 103 105 259
-105 104 106 8 76
-106 287 135 105 107
-107 220 36 106 108
-108 179 107 163 109
-109 110 248 108 54
-110 111 265 207 109
-111 110 112 14 82
-112 111 113 293 141
-113 112 114 226 42
-114 113 115 127 185
-115 212 114 60 116
-116 115 171 117 271
-117 46 116 118 20
-118 147 257 117 119
-119 232 6 118 120
-120 121 133 191 119
-121 66 122 218 120
-122 121 177 123 277
-123 122 124 26 52
-124 123 125 153 263
-125 12 124 126 238
-126 125 139 85 197
-127 266 168 114 128
-128 225 127 129 31
-129 100 128 74 130
-130 201 17 129 131
-131 132 286 60 130
-132 187 133 245 131
-133 132 134 272 120
-134 231 133 135 37
-135 134 80 136 106
-136 23 135 137 207
-137 66 136 138 292
-138 137 193 139 251
-139 278 126 138 140
-140 1 237 139 141
-141 44 112 140 142
-142 143 171 29 141
-143 144 256 72 142
-144 143 199 145 215
-145 144 90 146 284
-146 243 145 147 7
-147 146 148 50 118
-148 177 35 147 149
-149 78 148 150 262
-150 221 149 205 151
-151 290 150 96 152
-152 13 249 151 153
-153 154 56 124 152
-154 155 183 41 153
-155 154 156 268 84
-156 155 157 169 227
-157 254 156 102 158
-158 157 213 159 19
-159 88 158 160 62
-160 189 5 159 161
-161 48 160 162 274
-162 233 161 163 175
-163 260 162 108 164
-164 165 25 163 219
-165 166 68 94 164
-166 11 165 167 195
-167 166 168 280 54
-168 167 181 127 239
-169 210 156 14 170
-170 267 169 171 73
-171 170 116 172 142
-172 243 59 171 173
-173 34 102 172 174
-174 287 173 229 175
-175 176 162 20 174
-176 177 79 273 175
-177 176 122 178 148
-178 177 179 249 65
-179 178 180 40 108
-180 179 235 181 293
-181 168 26 180 182
-182 279 181 183 43
-183 154 182 184 86
-184 213 71 183 185
-185 4 114 184 186
-186 187 257 185 241
-187 132 188 32 186
-188 187 189 49 285
-189 188 190 92 160
-190 77 189 191 219
-191 190 192 10 120
-192 191 247 193 263
-193 38 192 138 194
-194 55 291 193 195
-195 166 194 196 98
-196 225 83 195 197
-197 198 16 126 196
-198 199 211 269 197
-199 198 144 2 200
-200 199 255 201 61
-201 200 202 104 130
-202 231 47 201 203
-203 22 90 202 204
-204 275 203 205 217
-205 204 150 8 206
-206 67 205 261 207
-207 110 136 206 208
-208 209 237 53 207
-209 210 28 96 208
-210 209 223 169 281
-211 198 56 212 252
-212 211 15 213 115
-213 212 158 214 184
-214 101 213 215 285
-215 144 214 216 76
-216 35 215 271 217
-217 204 62 216 218
-218 121 217 21 219
-219 220 190 218 164
-220 221 291 107 219
-221 220 222 82 150
-222 221 277 223 41
-223 210 68 222 224
-224 223 27 225 85
-225 224 226 128 196
-226 255 113 225 227
-227 46 156 226 228
-228 5 227 283 229
-229 74 228 174 230
-230 33 231 91 229
-231 232 134 202 230
-232 231 233 261 119
-233 232 234 52 162
-234 11 233 289 235
-235 80 234 180 236
-236 235 39 237 97
-237 236 238 140 208
-238 267 125 237 239
-239 58 168 238 240
-240 253 17 239 241
-241 44 242 240 186
-242 243 3 103 241
-243 242 244 146 172
-244 89 243 245 273
-245 132 244 246 64
-246 23 245 247 259
-247 246 192 50 248
-248 247 249 9 109
-249 178 248 250 152
-250 279 95 249 251
-251 70 138 250 252
-252 265 211 29 251
-253 254 294 240 98
-254 253 57 255 157
-255 254 200 256 226
-256 33 143 255 257
-257 256 258 118 186
-258 77 257 259 19
-259 246 104 258 260
-260 259 63 261 163
-261 232 260 206 262
-262 39 149 261 263
-263 264 124 192 262
-264 265 25 83 263
-265 110 264 266 252
-266 265 69 267 127
-267 266 268 170 238
-268 155 3 267 269
-269 88 198 268 270
-270 47 269 271 31
-271 116 270 216 272
-272 133 271 75 273
-273 176 244 272 274
-274 275 161 9 273
-275 276 94 204 274
-276 275 277 37 53
-277 122 276 222 278
-278 277 81 279 139
-279 278 280 182 250
-280 167 15 279 281
-281 100 210 280 282
-282 1 59 281 283
-283 282 228 86 284
-284 45 145 283 285
-285 286 188 214 284
-286 287 21 131 285
-287 286 288 106 174
-288 287 289 7 65
-289 288 234 92 290
-290 289 291 51 151
-291 220 290 292 194
-292 27 137 291 293
-293 112 180 292 294
-294 253 13 71 293
0