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