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