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