Graph forms
for C4 [ 235, 1 ] = C_235(1,46)
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On this page are computer-accessible forms for the graph C4[ 235, 1 ] =
C_235(1,46).
(I) Following is a form readable by MAGMA:
g:=Graph<235|{ {2, 3}, {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}, {200,
201}, {198, 199}, {196, 197}, {194, 195}, {192, 193}, {190, 191}, {188, 189},
{186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174,
175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163},
{160, 161}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {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}, {52, 53}, {50, 51}, {48, 49}, {46,
47}, {44, 45}, {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}, {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}, {1, 2}, {233, 234},
{229, 230}, {225, 226}, {221, 222}, {217, 218}, {213, 214}, {209, 210}, {205,
206}, {201, 202}, {197, 198}, {193, 194}, {189, 190}, {185, 186}, {181, 182},
{177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153,
154}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49,
50}, {45, 46}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29,
30}, {33, 34}, {37, 38}, {41, 42}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97,
98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122},
{125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149,
150}, {3, 4}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {187,
188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {75, 76}, {67, 68}, {59,
60}, {51, 52}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {83, 84}, {91,
92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140},
{147, 148}, {7, 8}, {231, 232}, {215, 216}, {199, 200}, {183, 184}, {167, 168},
{151, 152}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {119,
120}, {135, 136}, {15, 16}, {207, 208}, {175, 176}, {79, 80}, {47, 48}, {111,
112}, {143, 144}, {1, 47}, {65, 111}, {64, 110}, {16, 62}, {17, 63}, {80, 126},
{81, 127}, {128, 174}, {129, 175}, {144, 190}, {145, 191}, {2, 48}, {79, 125},
{78, 124}, {75, 121}, {74, 120}, {71, 117}, {70, 116}, {67, 113}, {66, 112}, {3,
49}, {6, 52}, {7, 53}, {10, 56}, {11, 57}, {14, 60}, {15, 61}, {130, 176}, {131,
177}, {134, 180}, {135, 181}, {138, 184}, {139, 185}, {142, 188}, {143, 189},
{4, 50}, {77, 123}, {76, 122}, {69, 115}, {68, 114}, {5, 51}, {12, 58}, {13,
59}, {132, 178}, {133, 179}, {140, 186}, {141, 187}, {8, 54}, {73, 119}, {72,
118}, {9, 55}, {136, 182}, {137, 183}, {31, 32}, {223, 224}, {159, 160}, {95,
96}, {18, 64}, {187, 233}, {186, 232}, {183, 229}, {182, 228}, {179, 225}, {178,
224}, {159, 205}, {158, 204}, {155, 201}, {154, 200}, {151, 197}, {150, 196},
{63, 109}, {62, 108}, {59, 105}, {58, 104}, {55, 101}, {54, 100}, {51, 97}, {50,
96}, {19, 65}, {22, 68}, {23, 69}, {26, 72}, {27, 73}, {30, 76}, {31, 77}, {146,
192}, {147, 193}, {20, 66}, {189, 235}, {188, 234}, {181, 227}, {180, 226},
{157, 203}, {156, 202}, {61, 107}, {60, 106}, {53, 99}, {52, 98}, {21, 67}, {28,
74}, {29, 75}, {148, 194}, {149, 195}, {24, 70}, {185, 231}, {184, 230}, {153,
199}, {152, 198}, {57, 103}, {56, 102}, {25, 71}, {32, 78}, {177, 223}, {176,
222}, {161, 207}, {160, 206}, {49, 95}, {48, 94}, {33, 79}, {34, 80}, {175,
221}, {174, 220}, {171, 217}, {170, 216}, {167, 213}, {166, 212}, {163, 209},
{162, 208}, {47, 93}, {46, 92}, {43, 89}, {35, 81}, {38, 84}, {39, 85}, {42,
88}, {36, 82}, {173, 219}, {172, 218}, {165, 211}, {164, 210}, {45, 91}, {44,
90}, {37, 83}, {40, 86}, {169, 215}, {168, 214}, {41, 87}, {63, 64}, {191, 192},
{2, 191}, {1, 190}, {3, 192}, {43, 232}, {7, 196}, {11, 200}, {15, 204}, {19,
208}, {23, 212}, {27, 216}, {31, 220}, {35, 224}, {39, 228}, {4, 193}, {46,
235}, {44, 233}, {6, 195}, {12, 201}, {14, 203}, {20, 209}, {22, 211}, {28,
217}, {30, 219}, {36, 225}, {38, 227}, {5, 194}, {45, 234}, {13, 202}, {21,
210}, {29, 218}, {37, 226}, {8, 197}, {10, 199}, {24, 213}, {26, 215}, {40,
229}, {42, 231}, {9, 198}, {25, 214}, {41, 230}, {82, 128}, {83, 129}, {86,
132}, {87, 133}, {90, 136}, {91, 137}, {94, 140}, {95, 141}, {114, 160}, {115,
161}, {118, 164}, {119, 165}, {122, 168}, {123, 169}, {126, 172}, {127, 173},
{84, 130}, {85, 131}, {92, 138}, {93, 139}, {116, 162}, {117, 163}, {124, 170},
{125, 171}, {16, 205}, {18, 207}, {88, 134}, {89, 135}, {120, 166}, {121, 167},
{17, 206}, {1, 235}, {96, 142}, {97, 143}, {112, 158}, {113, 159}, {98, 144},
{99, 145}, {102, 148}, {103, 149}, {106, 152}, {107, 153}, {110, 156}, {111,
157}, {100, 146}, {101, 147}, {108, 154}, {109, 155}, {32, 221}, {34, 223},
{104, 150}, {105, 151}, {33, 222}, {127, 128} }>;
(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) (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, 190)(3, 144)(4, 98)(5, 52)(7, 195)(8, 149)(9, 103)(10, 57)(12, 200)(13,
154)(14, 108)(15, 62)(17, 205)(18, 159)(19, 113)(20, 67)(22, 210)(23, 164)(24,
118)(25, 72)(27, 215)(28, 169)(29, 123)(30, 77)(32, 220)(33, 174)(34, 128)(35,
82)(37, 225)(38, 179)(39, 133)(40, 87)(42, 230)(43, 184)(44, 138)(45, 92)(47,
235)(48, 189)(49, 143)(50, 97)(53, 194)(54, 148)(55, 102)(58, 199)(59, 153)(60,
107)(63, 204)(64, 158)(65, 112)(68, 209)(69, 163)(70, 117)(73, 214)(74, 168)(75,
122)(78, 219)(79, 173)(80, 127)(83, 224)(84, 178)(85, 132)(88, 229)(89, 183)(90,
137)(93, 234)(94, 188)(95, 142)(99, 193)(100, 147)(104, 198)(105, 152)(109,
203)(110, 157)(114, 208)(115, 162)(119, 213)(120, 167)(124, 218)(125, 172)(129,
223)(130, 177)(134, 228)(135, 182)(139, 233)(140, 187)(145, 192)(150, 197)(155,
202)(160, 207)(165, 212)(170, 217)(175, 222)(180, 227)(185, 232)
c: (2, 47)(3, 93)(4, 139)(5, 185)(6, 231)(7, 42)(8, 88)(9, 134)(10, 180)(11,
226)(12, 37)(13, 83)(14, 129)(15, 175)(16, 221)(17, 32)(18, 78)(19, 124)(20,
170)(21, 216)(22, 27)(23, 73)(24, 119)(25, 165)(26, 211)(28, 68)(29, 114)(30,
160)(31, 206)(33, 63)(34, 109)(35, 155)(36, 201)(38, 58)(39, 104)(40, 150)(41,
196)(43, 53)(44, 99)(45, 145)(46, 191)(49, 94)(50, 140)(51, 186)(52, 232)(54,
89)(55, 135)(56, 181)(57, 227)(59, 84)(60, 130)(61, 176)(62, 222)(64, 79)(65,
125)(66, 171)(67, 217)(69, 74)(70, 120)(71, 166)(72, 212)(75, 115)(76, 161)(77,
207)(80, 110)(81, 156)(82, 202)(85, 105)(86, 151)(87, 197)(90, 100)(91, 146)(92,
192)(96, 141)(97, 187)(98, 233)(101, 136)(102, 182)(103, 228)(106, 131)(107,
177)(108, 223)(111, 126)(112, 172)(113, 218)(116, 121)(117, 167)(118, 213)(122,
162)(123, 208)(127, 157)(128, 203)(132, 152)(133, 198)(137, 147)(138, 193)(143,
188)(144, 234)(148, 183)(149, 229)(153, 178)(154, 224)(158, 173)(159, 219)(163,
168)(164, 214)(169, 209)(174, 204)(179, 199)(184, 194)(190, 235)(195, 230)(200,
225)(205, 220)(210, 215)
C4[ 235, 1 ]
235
-1 2 47 190 235
-2 1 3 48 191
-3 2 4 49 192
-4 3 5 50 193
-5 4 6 51 194
-6 5 7 52 195
-7 6 8 53 196
-8 7 9 54 197
-9 55 198 8 10
-10 11 56 199 9
-11 12 57 200 10
-12 11 13 58 201
-13 12 14 59 202
-14 13 15 60 203
-15 14 16 61 204
-16 15 17 62 205
-17 16 18 63 206
-18 17 19 64 207
-19 18 20 65 208
-20 66 209 19 21
-21 22 67 210 20
-22 23 68 211 21
-23 22 24 69 212
-24 23 25 70 213
-25 24 26 71 214
-26 25 27 72 215
-27 26 28 73 216
-28 27 29 74 217
-29 28 30 75 218
-30 29 31 76 219
-31 77 220 30 32
-32 33 78 221 31
-33 34 79 222 32
-34 33 35 80 223
-35 34 36 81 224
-36 35 37 82 225
-37 36 38 83 226
-38 37 39 84 227
-39 38 40 85 228
-40 39 41 86 229
-41 40 42 87 230
-42 88 231 41 43
-43 44 89 232 42
-44 45 90 233 43
-45 44 46 91 234
-46 45 47 92 235
-47 1 46 48 93
-48 2 47 49 94
-49 3 48 50 95
-50 4 49 51 96
-51 5 50 52 97
-52 6 51 53 98
-53 99 7 52 54
-54 55 100 8 53
-55 56 101 9 54
-56 55 57 102 10
-57 11 56 58 103
-58 12 57 59 104
-59 13 58 60 105
-60 14 59 61 106
-61 15 60 62 107
-62 16 61 63 108
-63 17 62 64 109
-64 110 18 63 65
-65 66 111 19 64
-66 67 112 20 65
-67 66 68 113 21
-68 22 67 69 114
-69 23 68 70 115
-70 24 69 71 116
-71 25 70 72 117
-72 26 71 73 118
-73 27 72 74 119
-74 28 73 75 120
-75 121 29 74 76
-76 77 122 30 75
-77 78 123 31 76
-78 77 79 124 32
-79 33 78 80 125
-80 34 79 81 126
-81 35 80 82 127
-82 36 81 83 128
-83 37 82 84 129
-84 38 83 85 130
-85 39 84 86 131
-86 132 40 85 87
-87 88 133 41 86
-88 89 134 42 87
-89 88 90 135 43
-90 44 89 91 136
-91 45 90 92 137
-92 46 91 93 138
-93 47 92 94 139
-94 48 93 95 140
-95 49 94 96 141
-96 50 95 97 142
-97 143 51 96 98
-98 99 144 52 97
-99 100 145 53 98
-100 99 101 146 54
-101 55 100 102 147
-102 56 101 103 148
-103 57 102 104 149
-104 58 103 105 150
-105 59 104 106 151
-106 60 105 107 152
-107 61 106 108 153
-108 154 62 107 109
-109 110 155 63 108
-110 111 156 64 109
-111 110 112 157 65
-112 66 111 113 158
-113 67 112 114 159
-114 68 113 115 160
-115 69 114 116 161
-116 70 115 117 162
-117 71 116 118 163
-118 72 117 119 164
-119 165 73 118 120
-120 121 166 74 119
-121 122 167 75 120
-122 121 123 168 76
-123 77 122 124 169
-124 78 123 125 170
-125 79 124 126 171
-126 80 125 127 172
-127 81 126 128 173
-128 82 127 129 174
-129 83 128 130 175
-130 176 84 129 131
-131 132 177 85 130
-132 133 178 86 131
-133 132 134 179 87
-134 88 133 135 180
-135 89 134 136 181
-136 90 135 137 182
-137 91 136 138 183
-138 92 137 139 184
-139 93 138 140 185
-140 94 139 141 186
-141 187 95 140 142
-142 143 188 96 141
-143 144 189 97 142
-144 143 145 190 98
-145 99 144 146 191
-146 100 145 147 192
-147 101 146 148 193
-148 102 147 149 194
-149 103 148 150 195
-150 104 149 151 196
-151 105 150 152 197
-152 198 106 151 153
-153 154 199 107 152
-154 155 200 108 153
-155 154 156 201 109
-156 110 155 157 202
-157 111 156 158 203
-158 112 157 159 204
-159 113 158 160 205
-160 114 159 161 206
-161 115 160 162 207
-162 116 161 163 208
-163 209 117 162 164
-164 165 210 118 163
-165 166 211 119 164
-166 165 167 212 120
-167 121 166 168 213
-168 122 167 169 214
-169 123 168 170 215
-170 124 169 171 216
-171 125 170 172 217
-172 126 171 173 218
-173 127 172 174 219
-174 220 128 173 175
-175 176 221 129 174
-176 177 222 130 175
-177 176 178 223 131
-178 132 177 179 224
-179 133 178 180 225
-180 134 179 181 226
-181 135 180 182 227
-182 136 181 183 228
-183 137 182 184 229
-184 138 183 185 230
-185 231 139 184 186
-186 187 232 140 185
-187 188 233 141 186
-188 187 189 234 142
-189 143 188 190 235
-190 1 144 189 191
-191 2 145 190 192
-192 3 146 191 193
-193 4 147 192 194
-194 5 148 193 195
-195 6 149 194 196
-196 7 150 195 197
-197 198 8 151 196
-198 199 9 152 197
-199 198 200 10 153
-200 11 154 199 201
-201 12 155 200 202
-202 13 156 201 203
-203 14 157 202 204
-204 15 158 203 205
-205 16 159 204 206
-206 17 160 205 207
-207 18 161 206 208
-208 209 19 162 207
-209 210 20 163 208
-210 209 211 21 164
-211 22 165 210 212
-212 23 166 211 213
-213 24 167 212 214
-214 25 168 213 215
-215 26 169 214 216
-216 27 170 215 217
-217 28 171 216 218
-218 29 172 217 219
-219 220 30 173 218
-220 221 31 174 219
-221 220 222 32 175
-222 33 176 221 223
-223 34 177 222 224
-224 35 178 223 225
-225 36 179 224 226
-226 37 180 225 227
-227 38 181 226 228
-228 39 182 227 229
-229 40 183 228 230
-230 231 41 184 229
-231 232 42 185 230
-232 231 233 43 186
-233 44 187 232 234
-234 45 188 233 235
-235 1 46 189 234
0