Graph forms
for C4 [ 320, 4 ] = {4,4}_16,8
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On this page are computer-accessible forms for the graph C4[ 320, 4 ] =
{4,4}_16,8.
(I) Following is a form readable by MAGMA:
g:=Graph<320|{ {2, 3}, {318, 319}, {316, 317}, {314, 315}, {312, 313}, {310,
311}, {308, 309}, {306, 307}, {304, 305}, {302, 303}, {300, 301}, {298, 299},
{296, 297}, {294, 295}, {292, 293}, {290, 291}, {288, 289}, {286, 287}, {284,
285}, {282, 283}, {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}, {252, 253}, {250, 251}, {248, 249}, {246, 247}, {244, 245},
{242, 243}, {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}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202,
203}, {198, 199}, {196, 197}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96,
97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {78,
79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62,
63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {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}, {42, 43}, {44, 45},
{46, 47}, {48, 49}, {50, 51}, {52, 53}, {106, 107}, {108, 109}, {110, 111},
{112, 113}, {114, 115}, {116, 117}, {118, 119}, {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}, {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}, {1, 2}, {317, 318}, {313, 314}, {309, 310}, {305, 306}, {301, 302},
{297, 298}, {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}, {205, 206}, {201, 202}, {197, 198},
{105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77,
78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {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}, {109, 110}, {113, 114}, {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}, {3, 4}, {315, 316}, {307,
308}, {299, 300}, {291, 292}, {283, 284}, {275, 276}, {267, 268}, {259, 260},
{251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203,
204}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12},
{19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {107, 108}, {115, 116}, {123,
124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172},
{179, 180}, {187, 188}, {195, 196}, {7, 8}, {311, 312}, {295, 296}, {279, 280},
{263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200}, {103, 104}, {87,
88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {119, 120}, {135, 136}, {151, 152},
{167, 168}, {183, 184}, {15, 16}, {303, 304}, {271, 272}, {239, 240}, {207,
208}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {175, 176}, {1, 41}, {279,
319}, {278, 318}, {277, 317}, {276, 316}, {275, 315}, {274, 314}, {273, 313},
{272, 312}, {263, 303}, {262, 302}, {261, 301}, {260, 300}, {259, 299}, {258,
298}, {257, 297}, {256, 296}, {215, 255}, {214, 254}, {213, 253}, {212, 252},
{211, 251}, {210, 250}, {209, 249}, {208, 248}, {199, 239}, {198, 238}, {197,
237}, {196, 236}, {87, 127}, {86, 126}, {85, 125}, {84, 124}, {83, 123}, {82,
122}, {81, 121}, {80, 120}, {71, 111}, {70, 110}, {69, 109}, {68, 108}, {67,
107}, {66, 106}, {65, 105}, {64, 104}, {2, 42}, {3, 43}, {4, 44}, {5, 45}, {6,
46}, {7, 47}, {16, 56}, {17, 57}, {18, 58}, {19, 59}, {20, 60}, {21, 61}, {22,
62}, {23, 63}, {128, 168}, {129, 169}, {130, 170}, {131, 171}, {132, 172}, {133,
173}, {134, 174}, {135, 175}, {144, 184}, {145, 185}, {146, 186}, {147, 187},
{148, 188}, {149, 189}, {150, 190}, {151, 191}, {192, 232}, {193, 233}, {194,
234}, {195, 235}, {1, 40}, {81, 120}, {8, 48}, {271, 311}, {270, 310}, {269,
309}, {268, 308}, {267, 307}, {266, 306}, {265, 305}, {264, 304}, {207, 247},
{206, 246}, {205, 245}, {204, 244}, {203, 243}, {202, 242}, {201, 241}, {200,
240}, {79, 119}, {78, 118}, {77, 117}, {76, 116}, {75, 115}, {74, 114}, {73,
113}, {72, 112}, {9, 49}, {10, 50}, {11, 51}, {12, 52}, {13, 53}, {14, 54}, {15,
55}, {136, 176}, {137, 177}, {138, 178}, {139, 179}, {140, 180}, {141, 181},
{142, 182}, {143, 183}, {201, 240}, {31, 32}, {287, 288}, {223, 224}, {95, 96},
{159, 160}, {24, 64}, {280, 320}, {63, 103}, {62, 102}, {61, 101}, {60, 100},
{59, 99}, {58, 98}, {57, 97}, {56, 96}, {25, 65}, {26, 66}, {27, 67}, {28, 68},
{29, 69}, {30, 70}, {31, 71}, {152, 192}, {153, 193}, {154, 194}, {155, 195},
{156, 196}, {157, 197}, {158, 198}, {159, 199}, {184, 224}, {185, 225}, {186,
226}, {187, 227}, {188, 228}, {189, 229}, {190, 230}, {191, 231}, {281, 320},
{32, 72}, {55, 95}, {54, 94}, {33, 73}, {34, 74}, {35, 75}, {36, 76}, {37, 77},
{38, 78}, {39, 79}, {48, 88}, {49, 89}, {50, 90}, {51, 91}, {52, 92}, {53, 93},
{160, 200}, {161, 201}, {162, 202}, {163, 203}, {164, 204}, {165, 205}, {166,
206}, {167, 207}, {176, 216}, {177, 217}, {178, 218}, {179, 219}, {180, 220},
{181, 221}, {182, 222}, {183, 223}, {161, 200}, {40, 80}, {41, 81}, {42, 82},
{43, 83}, {44, 84}, {45, 85}, {46, 86}, {47, 87}, {168, 208}, {169, 209}, {170,
210}, {171, 211}, {172, 212}, {173, 213}, {174, 214}, {175, 215}, {41, 80}, {63,
64}, {319, 320}, {191, 192}, {88, 128}, {95, 135}, {94, 134}, {93, 133}, {92,
132}, {91, 131}, {90, 130}, {89, 129}, {120, 160}, {121, 161}, {122, 162}, {123,
163}, {124, 164}, {125, 165}, {126, 166}, {127, 167}, {121, 160}, {96, 136},
{103, 143}, {102, 142}, {101, 141}, {100, 140}, {99, 139}, {98, 138}, {97, 137},
{112, 152}, {113, 153}, {114, 154}, {115, 155}, {116, 156}, {117, 157}, {118,
158}, {119, 159}, {104, 144}, {105, 145}, {106, 146}, {107, 147}, {108, 148},
{109, 149}, {110, 150}, {111, 151}, {127, 128}, {25, 281}, {26, 282}, {27, 283},
{28, 284}, {29, 285}, {30, 286}, {31, 287}, {32, 288}, {33, 289}, {34, 290},
{35, 291}, {36, 292}, {37, 293}, {38, 294}, {39, 295}, {40, 296}, {1, 297}, {2,
298}, {3, 299}, {4, 300}, {5, 301}, {6, 302}, {7, 303}, {16, 312}, {17, 313},
{18, 314}, {19, 315}, {20, 316}, {21, 317}, {22, 318}, {23, 319}, {8, 304}, {9,
305}, {10, 306}, {11, 307}, {12, 308}, {13, 309}, {14, 310}, {15, 311}, {24,
320}, {216, 256}, {255, 295}, {254, 294}, {253, 293}, {252, 292}, {251, 291},
{250, 290}, {249, 289}, {248, 288}, {223, 263}, {222, 262}, {221, 261}, {220,
260}, {219, 259}, {218, 258}, {217, 257}, {224, 264}, {247, 287}, {246, 286},
{245, 285}, {244, 284}, {243, 283}, {242, 282}, {241, 281}, {240, 280}, {231,
271}, {230, 270}, {229, 269}, {228, 268}, {227, 267}, {226, 266}, {225, 265},
{241, 280}, {232, 272}, {239, 279}, {238, 278}, {237, 277}, {236, 276}, {235,
275}, {234, 274}, {233, 273}, {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, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308,
309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320) (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, 297, 40, 41)(3, 257, 39, 81)(4, 217, 38, 121)(5, 177, 37, 161)(6, 137,
36, 201)(7, 97, 35, 241)(8, 57, 34, 281)(9, 17, 33, 25)(10, 313, 32, 65)(11,
273, 31, 105)(12, 233, 30, 145)(13, 193, 29, 185)(14, 153, 28, 225)(15, 113, 27,
265)(16, 73, 26, 305)(18, 289, 24, 49)(19, 249, 23, 89)(20, 209, 22, 129)(21,
169)(42, 298, 296, 80)(43, 258, 295, 120)(44, 218, 294, 160)(45, 178, 293,
200)(46, 138, 292, 240)(47, 98, 291, 280)(48, 58, 290, 320)(50, 314, 288,
64)(51, 274, 287, 104)(52, 234, 286, 144)(53, 194, 285, 184)(54, 154, 284,
224)(55, 114, 283, 264)(56, 74, 282, 304)(59, 250, 319, 88)(60, 210, 318,
128)(61, 170, 317, 168)(62, 130, 316, 208)(63, 90, 315, 248)(66, 306, 312,
72)(67, 266, 311, 112)(68, 226, 310, 152)(69, 186, 309, 192)(70, 146, 308,
232)(71, 106, 307, 272)(75, 242, 303, 96)(76, 202, 302, 136)(77, 162, 301,
176)(78, 122, 300, 216)(79, 82, 299, 256)(83, 259, 255, 119)(84, 219, 254,
159)(85, 179, 253, 199)(86, 139, 252, 239)(87, 99, 251, 279)(91, 275, 247,
103)(92, 235, 246, 143)(93, 195, 245, 183)(94, 155, 244, 223)(95, 115, 243,
263)(100, 211, 278, 127)(101, 171, 277, 167)(102, 131, 276, 207)(107, 267, 271,
111)(108, 227, 270, 151)(109, 187, 269, 191)(110, 147, 268, 231)(116, 203, 262,
135)(117, 163, 261, 175)(118, 123, 260, 215)(124, 220, 214, 158)(125, 180, 213,
198)(126, 140, 212, 238)(132, 236, 206, 142)(133, 196, 205, 182)(134, 156, 204,
222)(141, 172, 237, 166)(148, 228, 230, 150)(149, 188, 229, 190)(157, 164, 221,
174)(165, 181, 173, 197)
C4[ 320, 4 ]
320
-1 297 2 40 41
-2 1 298 3 42
-3 2 299 4 43
-4 44 3 300 5
-5 45 4 301 6
-6 46 5 302 7
-7 47 6 303 8
-8 48 7 304 9
-9 49 8 305 10
-10 11 50 9 306
-11 12 51 10 307
-12 11 308 13 52
-13 12 309 14 53
-14 13 310 15 54
-15 55 14 311 16
-16 56 15 312 17
-17 57 16 313 18
-18 58 17 314 19
-19 59 18 315 20
-20 60 19 316 21
-21 22 61 20 317
-22 23 62 21 318
-23 22 319 24 63
-24 23 320 25 64
-25 24 26 281 65
-26 66 25 27 282
-27 67 26 28 283
-28 68 27 29 284
-29 69 28 30 285
-30 286 70 29 31
-31 287 71 30 32
-32 33 288 72 31
-33 34 289 73 32
-34 33 35 290 74
-35 34 36 291 75
-36 35 37 292 76
-37 77 36 38 293
-38 78 37 39 294
-39 79 38 40 295
-40 1 80 39 296
-41 1 80 81 42
-42 2 82 41 43
-43 44 3 83 42
-44 45 4 84 43
-45 44 46 5 85
-46 45 47 6 86
-47 46 48 7 87
-48 88 47 49 8
-49 89 48 50 9
-50 90 49 51 10
-51 11 91 50 52
-52 12 92 51 53
-53 13 93 52 54
-54 55 14 94 53
-55 56 15 95 54
-56 55 57 16 96
-57 56 58 17 97
-58 57 59 18 98
-59 99 58 60 19
-60 100 59 61 20
-61 101 60 62 21
-62 22 102 61 63
-63 23 103 62 64
-64 24 104 63 65
-65 66 25 105 64
-66 67 26 106 65
-67 66 68 27 107
-68 67 69 28 108
-69 68 70 29 109
-70 110 69 71 30
-71 111 70 72 31
-72 112 71 73 32
-73 33 113 72 74
-74 34 114 73 75
-75 35 115 74 76
-76 77 36 116 75
-77 78 37 117 76
-78 77 79 38 118
-79 78 80 39 119
-80 79 40 41 120
-81 121 82 41 120
-82 122 81 83 42
-83 123 82 84 43
-84 44 124 83 85
-85 45 125 84 86
-86 46 126 85 87
-87 88 47 127 86
-88 89 48 128 87
-89 88 90 49 129
-90 89 91 50 130
-91 90 92 51 131
-92 132 91 93 52
-93 133 92 94 53
-94 134 93 95 54
-95 55 135 94 96
-96 56 136 95 97
-97 57 137 96 98
-98 99 58 138 97
-99 100 59 139 98
-100 99 101 60 140
-101 100 102 61 141
-102 101 103 62 142
-103 143 102 104 63
-104 144 103 105 64
-105 145 104 106 65
-106 66 146 105 107
-107 67 147 106 108
-108 68 148 107 109
-109 110 69 149 108
-110 111 70 150 109
-111 110 112 71 151
-112 111 113 72 152
-113 112 114 73 153
-114 154 113 115 74
-115 155 114 116 75
-116 156 115 117 76
-117 77 157 116 118
-118 78 158 117 119
-119 79 159 118 120
-120 80 81 160 119
-121 122 81 160 161
-122 121 123 82 162
-123 122 124 83 163
-124 123 125 84 164
-125 165 124 126 85
-126 166 125 127 86
-127 167 126 128 87
-128 88 168 127 129
-129 89 169 128 130
-130 90 170 129 131
-131 132 91 171 130
-132 133 92 172 131
-133 132 134 93 173
-134 133 135 94 174
-135 134 136 95 175
-136 176 135 137 96
-137 177 136 138 97
-138 178 137 139 98
-139 99 179 138 140
-140 100 180 139 141
-141 101 181 140 142
-142 143 102 182 141
-143 144 103 183 142
-144 143 145 104 184
-145 144 146 105 185
-146 145 147 106 186
-147 187 146 148 107
-148 188 147 149 108
-149 189 148 150 109
-150 110 190 149 151
-151 111 191 150 152
-152 112 192 151 153
-153 154 113 193 152
-154 155 114 194 153
-155 154 156 115 195
-156 155 157 116 196
-157 156 158 117 197
-158 198 157 159 118
-159 199 158 160 119
-160 121 200 159 120
-161 121 200 201 162
-162 122 202 161 163
-163 123 203 162 164
-164 165 124 204 163
-165 166 125 205 164
-166 165 167 126 206
-167 166 168 127 207
-168 167 169 128 208
-169 209 168 170 129
-170 210 169 171 130
-171 211 170 172 131
-172 132 212 171 173
-173 133 213 172 174
-174 134 214 173 175
-175 176 135 215 174
-176 177 136 216 175
-177 176 178 137 217
-178 177 179 138 218
-179 178 180 139 219
-180 220 179 181 140
-181 221 180 182 141
-182 222 181 183 142
-183 143 223 182 184
-184 144 224 183 185
-185 145 225 184 186
-186 187 146 226 185
-187 188 147 227 186
-188 187 189 148 228
-189 188 190 149 229
-190 189 191 150 230
-191 231 190 192 151
-192 232 191 193 152
-193 233 192 194 153
-194 154 234 193 195
-195 155 235 194 196
-196 156 236 195 197
-197 198 157 237 196
-198 199 158 238 197
-199 198 200 159 239
-200 199 160 161 240
-201 202 161 240 241
-202 242 201 203 162
-203 243 202 204 163
-204 244 203 205 164
-205 165 245 204 206
-206 166 246 205 207
-207 167 247 206 208
-208 209 168 248 207
-209 210 169 249 208
-210 209 211 170 250
-211 210 212 171 251
-212 211 213 172 252
-213 253 212 214 173
-214 254 213 215 174
-215 255 214 216 175
-216 176 256 215 217
-217 177 257 216 218
-218 178 258 217 219
-219 220 179 259 218
-220 221 180 260 219
-221 220 222 181 261
-222 221 223 182 262
-223 222 224 183 263
-224 264 223 225 184
-225 265 224 226 185
-226 266 225 227 186
-227 187 267 226 228
-228 188 268 227 229
-229 189 269 228 230
-230 231 190 270 229
-231 232 191 271 230
-232 231 233 192 272
-233 232 234 193 273
-234 233 235 194 274
-235 275 234 236 195
-236 276 235 237 196
-237 277 236 238 197
-238 198 278 237 239
-239 199 279 238 240
-240 200 201 280 239
-241 242 201 280 281
-242 243 202 282 241
-243 242 244 203 283
-244 243 245 204 284
-245 244 246 205 285
-246 286 245 247 206
-247 287 246 248 207
-248 288 247 249 208
-249 209 289 248 250
-250 210 290 249 251
-251 211 291 250 252
-252 253 212 292 251
-253 254 213 293 252
-254 253 255 214 294
-255 254 256 215 295
-256 255 257 216 296
-257 297 256 258 217
-258 298 257 259 218
-259 299 258 260 219
-260 220 300 259 261
-261 221 301 260 262
-262 222 302 261 263
-263 264 223 303 262
-264 265 224 304 263
-265 264 266 225 305
-266 265 267 226 306
-267 266 268 227 307
-268 308 267 269 228
-269 309 268 270 229
-270 310 269 271 230
-271 231 311 270 272
-272 232 312 271 273
-273 233 313 272 274
-274 275 234 314 273
-275 276 235 315 274
-276 275 277 236 316
-277 276 278 237 317
-278 277 279 238 318
-279 319 278 280 239
-280 320 279 240 241
-281 320 25 282 241
-282 242 26 281 283
-283 243 27 282 284
-284 244 28 283 285
-285 286 245 29 284
-286 287 246 30 285
-287 286 288 247 31
-288 287 289 248 32
-289 33 288 290 249
-290 34 289 291 250
-291 35 290 292 251
-292 36 291 293 252
-293 253 37 292 294
-294 254 38 293 295
-295 255 39 294 296
-296 297 256 40 295
-297 1 298 257 296
-298 297 2 299 258
-299 298 3 300 259
-300 299 4 301 260
-301 300 5 302 261
-302 301 6 303 262
-303 302 7 304 263
-304 264 303 8 305
-305 265 304 9 306
-306 266 305 10 307
-307 11 308 267 306
-308 12 309 268 307
-309 308 13 310 269
-310 309 14 311 270
-311 310 15 312 271
-312 311 16 313 272
-313 312 17 314 273
-314 313 18 315 274
-315 275 314 19 316
-316 276 315 20 317
-317 277 316 21 318
-318 22 319 278 317
-319 23 320 279 318
-320 319 24 280 281
0