Graph forms
for C4 [ 240, 146 ] =
PL(CS(Pr_10(1,1,3,3)[10^6],0))
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On this page are computer-accessible forms for the graph C4[ 240, 146 ] =
PL(CS(Pr_10(1,1,3,3)[10^6],0)).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {37, 121}, {38, 121}, {26, 127}, {25, 127}, {22, 126}, {22, 127},
{21, 127}, {21, 126}, {17, 125}, {18, 126}, {17, 126}, {18, 125}, {13, 125},
{10, 123}, {13, 124}, {9, 123}, {14, 124}, {14, 125}, {9, 124}, {10, 124}, {1,
121}, {2, 122}, {1, 122}, {2, 121}, {6, 122}, {6, 123}, {5, 123}, {5, 122}, {3,
131}, {4, 132}, {44, 172}, {105, 233}, {44, 173}, {68, 197}, {93, 220}, {7,
133}, {68, 198}, {82, 208}, {83, 209}, {7, 132}, {71, 196}, {82, 209}, {83,
208}, {105, 234}, {22, 146}, {74, 206}, {73, 205}, {71, 195}, {65, 197}, {23,
147}, {24, 156}, {41, 173}, {46, 170}, {47, 171}, {48, 180}, {49, 181}, {98,
230}, {22, 147}, {23, 146}, {24, 157}, {41, 172}, {99, 230}, {108, 233}, {93,
219}, {99, 229}, {108, 234}, {3, 132}, {74, 205}, {73, 206}, {65, 198}, {4,
131}, {45, 170}, {50, 181}, {98, 229}, {15, 135}, {71, 207}, {21, 157}, {42,
162}, {43, 163}, {12, 133}, {70, 207}, {15, 134}, {21, 156}, {42, 163}, {43,
162}, {12, 134}, {81, 219}, {106, 224}, {52, 191}, {72, 195}, {81, 218}, {100,
239}, {107, 224}, {2, 142}, {72, 196}, {61, 177}, {51, 191}, {8, 132}, {45,
161}, {50, 190}, {94, 210}, {3, 142}, {8, 133}, {11, 134}, {95, 210}, {3, 141},
{11, 133}, {84, 218}, {95, 209}, {97, 239}, {2, 141}, {61, 178}, {46, 161}, {49,
190}, {84, 219}, {94, 209}, {24, 136}, {24, 137}, {72, 217}, {27, 138}, {89,
200}, {97, 240}, {27, 137}, {120, 234}, {72, 218}, {4, 151}, {120, 235}, {20,
135}, {75, 216}, {19, 135}, {31, 139}, {76, 216}, {92, 200}, {100, 240}, {28,
137}, {31, 138}, {1, 151}, {119, 225}, {118, 224}, {70, 208}, {62, 168}, {16,
134}, {28, 138}, {16, 135}, {119, 224}, {118, 225}, {71, 208}, {63, 168}, {46,
182}, {63, 167}, {47, 183}, {1, 152}, {62, 167}, {25, 128}, {46, 183}, {47,
182}, {26, 128}, {19, 136}, {47, 180}, {48, 171}, {76, 215}, {92, 199}, {4,
152}, {69, 217}, {20, 136}, {29, 129}, {75, 215}, {29, 128}, {23, 137}, {117,
235}, {30, 128}, {89, 199}, {23, 136}, {117, 234}, {69, 218}, {30, 129}, {33,
129}, {60, 156}, {59, 155}, {34, 130}, {63, 158}, {76, 237}, {77, 236}, {99,
194}, {63, 157}, {116, 214}, {76, 238}, {99, 193}, {8, 171}, {116, 215}, {33,
130}, {34, 129}, {6, 162}, {73, 237}, {8, 172}, {30, 186}, {31, 187}, {38, 130},
{39, 131}, {40, 140}, {42, 142}, {7, 162}, {30, 187}, {31, 186}, {42, 143},
{100, 193}, {7, 161}, {113, 215}, {41, 143}, {77, 235}, {100, 194}, {6, 161},
{113, 214}, {73, 238}, {60, 155}, {59, 156}, {37, 130}, {41, 142}, {25, 177},
{58, 146}, {57, 145}, {35, 139}, {36, 140}, {75, 227}, {5, 172}, {74, 227}, {61,
148}, {25, 176}, {32, 138}, {62, 148}, {102, 204}, {32, 139}, {58, 145}, {57,
146}, {39, 140}, {40, 131}, {103, 204}, {28, 176}, {78, 226}, {103, 203}, {28,
177}, {62, 147}, {79, 226}, {102, 203}, {5, 171}, {74, 228}, {61, 147}, {79,
225}, {109, 195}, {35, 140}, {36, 139}, {75, 228}, {78, 225}, {109, 194}, {101,
213}, {119, 199}, {119, 198}, {43, 153}, {86, 228}, {87, 229}, {112, 194}, {12,
191}, {43, 152}, {86, 229}, {87, 228}, {101, 214}, {112, 195}, {44, 152}, {107,
223}, {44, 153}, {106, 223}, {9, 191}, {88, 238}, {88, 239}, {85, 239}, {80,
235}, {85, 238}, {96, 219}, {10, 182}, {26, 166}, {27, 167}, {80, 236}, {96,
220}, {11, 182}, {26, 167}, {27, 166}, {104, 213}, {11, 181}, {120, 198}, {115,
205}, {114, 204}, {104, 214}, {10, 181}, {120, 199}, {115, 204}, {114, 205},
{77, 141}, {115, 179}, {81, 144}, {115, 178}, {82, 144}, {108, 174}, {16, 211},
{78, 141}, {92, 159}, {108, 175}, {14, 202}, {16, 212}, {38, 226}, {39, 227},
{40, 236}, {91, 159}, {107, 175}, {15, 202}, {38, 227}, {39, 226}, {40, 237},
{107, 174}, {15, 201}, {116, 178}, {14, 201}, {116, 179}, {80, 151}, {37, 237},
{117, 189}, {9, 192}, {117, 188}, {57, 240}, {37, 236}, {83, 154}, {83, 153},
{118, 188}, {118, 189}, {12, 192}, {60, 240}, {18, 222}, {89, 149}, {90, 150},
{105, 165}, {19, 222}, {84, 153}, {96, 173}, {105, 164}, {19, 221}, {84, 154},
{96, 174}, {106, 164}, {18, 221}, {89, 150}, {90, 149}, {106, 165}, {56, 232},
{56, 233}, {98, 183}, {97, 183}, {110, 184}, {111, 185}, {110, 185}, {111, 184},
{29, 197}, {113, 169}, {78, 150}, {79, 151}, {13, 212}, {113, 168}, {29, 196},
{97, 184}, {98, 184}, {114, 168}, {60, 231}, {114, 169}, {77, 150}, {53, 233},
{58, 230}, {53, 232}, {64, 157}, {59, 230}, {82, 143}, {13, 211}, {64, 158},
{57, 231}, {81, 143}, {52, 212}, {52, 213}, {87, 180}, {32, 196}, {66, 166},
{65, 165}, {56, 220}, {55, 211}, {54, 210}, {49, 213}, {87, 179}, {90, 190},
{32, 197}, {49, 212}, {91, 190}, {59, 221}, {91, 189}, {53, 210}, {66, 165},
{65, 166}, {58, 221}, {90, 189}, {54, 222}, {55, 223}, {54, 223}, {55, 222},
{112, 154}, {55, 220}, {68, 175}, {56, 211}, {88, 179}, {112, 155}, {34, 206},
{67, 175}, {35, 207}, {45, 193}, {88, 180}, {34, 207}, {35, 206}, {45, 192},
{79, 160}, {48, 192}, {80, 160}, {101, 149}, {48, 193}, {64, 177}, {95, 174},
{101, 148}, {64, 178}, {95, 173}, {102, 148}, {20, 231}, {67, 176}, {102, 149},
{68, 176}, {111, 155}, {111, 154}, {17, 231}, {104, 158}, {104, 159}, {33, 217},
{67, 187}, {51, 203}, {50, 202}, {103, 159}, {17, 232}, {66, 187}, {51, 202},
{50, 203}, {33, 216}, {93, 164}, {103, 158}, {94, 164}, {51, 200}, {91, 160},
{20, 232}, {70, 186}, {69, 185}, {53, 201}, {52, 200}, {36, 216}, {85, 169},
{86, 170}, {92, 160}, {109, 145}, {36, 217}, {94, 163}, {109, 144}, {66, 188},
{93, 163}, {110, 144}, {54, 201}, {70, 185}, {69, 186}, {67, 188}, {85, 170},
{86, 169}, {110, 145} }>;
(II) A more general form is to represent the graph as the orbit of {37, 121}
under the group generated by the following permutations:
a: (2, 4)(5, 44)(6, 43)(7, 42)(8, 41)(9, 83)(10, 84)(11, 81)(12, 82)(13,
111)(14, 112)(15, 109)(16, 110)(17, 59)(18, 60)(19, 57)(20, 58)(22, 24)(25,
64)(26, 63)(27, 62)(28, 61)(29, 103)(30, 104)(31, 101)(32, 102)(33, 91)(34,
92)(35, 89)(36, 90)(37, 79)(38, 80)(39, 77)(40, 78)(45, 94)(46, 93)(47, 96)(48,
95)(49, 69)(50, 72)(51, 71)(52, 70)(53, 99)(54, 100)(55, 97)(56, 98)(65,
114)(66, 113)(67, 116)(68, 115)(73, 119)(74, 120)(75, 117)(76, 118)(85, 106)(86,
105)(87, 108)(88, 107)(121, 151)(122, 152)(123, 153)(124, 154)(125, 155)(126,
156)(127, 157)(128, 158)(129, 159)(130, 160)(131, 141)(132, 142)(133, 143)(134,
144)(135, 145)(136, 146)(137, 147)(138, 148)(139, 149)(140, 150)(161, 163)(164,
170)(165, 169)(166, 168)(171, 173)(174, 180)(175, 179)(176, 178)(181, 218)(182,
219)(183, 220)(184, 211)(185, 212)(186, 213)(187, 214)(188, 215)(189, 216)(190,
217)(191, 208)(192, 209)(193, 210)(194, 201)(195, 202)(196, 203)(197, 204)(198,
205)(199, 206)(200, 207)(221, 231)(222, 240)(223, 239)(224, 238)(225, 237)(226,
236)(227, 235)(228, 234)(229, 233)(230, 232) (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: (5, 6)(7, 8)(25, 26)(27, 28)(41, 42)(43, 44)(45, 48)(46, 47)(61, 62)(63,
64)(65, 68)(66, 67)(85, 88)(86, 87)(93, 96)(94, 95)(105, 108)(106, 107)(113,
116)(114, 115)(161, 171)(162, 172)(163, 173)(164, 174)(165, 175)(166, 176)(167,
177)(168, 178)(169, 179)(170, 180)
c: (5, 37)(6, 38)(7, 39)(8, 40)(9, 34)(10, 33)(11, 36)(12, 35)(13, 30)(14,
29)(15, 32)(16, 31)(17, 25)(18, 26)(19, 27)(20, 28)(41, 77)(42, 78)(43, 79)(44,
80)(45, 74)(46, 75)(47, 76)(48, 73)(49, 69)(50, 72)(51, 71)(52, 70)(53, 68)(54,
65)(55, 66)(56, 67)(57, 61)(58, 62)(59, 63)(60, 64)(81, 90)(82, 89)(83, 92)(84,
91)(85, 87)(93, 118)(94, 119)(95, 120)(96, 117)(97, 116)(98, 113)(99, 114)(100,
115)(101, 110)(102, 109)(103, 112)(104, 111)(105, 107)(121, 122)(123, 130)(124,
129)(125, 128)(126, 127)(131, 132)(133, 140)(134, 139)(135, 138)(136, 137)(141,
142)(143, 150)(144, 149)(145, 148)(146, 147)(151, 152)(153, 160)(154, 159)(155,
158)(156, 157)(161, 227)(162, 226)(163, 225)(164, 224)(165, 223)(166, 222)(167,
221)(168, 230)(169, 229)(170, 228)(171, 237)(172, 236)(173, 235)(174, 234)(175,
233)(176, 232)(177, 231)(178, 240)(179, 239)(180, 238)(181, 217)(182, 216)(183,
215)(184, 214)(185, 213)(186, 212)(187, 211)(188, 220)(189, 219)(190, 218)(191,
207)(192, 206)(193, 205)(194, 204)(195, 203)(196, 202)(197, 201)(198, 210)(199,
209)(200, 208)
d: (13, 14)(15, 16)(33, 34)(35, 36)(49, 50)(51, 52)(53, 56)(54, 55)(69, 70)(71,
72)(73, 76)(74, 75)(81, 82)(83, 84)(93, 94)(95, 96)(101, 102)(103, 104)(113,
114)(115, 116)(201, 211)(202, 212)(203, 213)(204, 214)(205, 215)(206, 216)(207,
217)(208, 218)(209, 219)(210, 220)
e: (17, 18)(19, 20)(37, 38)(39, 40)(53, 54)(55, 56)(57, 58)(59, 60)(73, 74)(75,
76)(77, 78)(79, 80)(85, 86)(87, 88)(97, 98)(99, 100)(105, 106)(107, 108)(117,
118)(119, 120)(221, 231)(222, 232)(223, 233)(224, 234)(225, 235)(226, 236)(227,
237)(228, 238)(229, 239)(230, 240)
f: (1, 5, 9, 13, 17, 21, 25, 29, 33, 37)(2, 6, 10, 14, 18, 22, 26, 30, 34,
38)(3, 7, 11, 15, 19, 23, 27, 31, 35, 39)(4, 8, 12, 16, 20, 24, 28, 32, 36,
40)(41, 45, 49, 53, 59, 61, 65, 69, 73, 79)(42, 46, 50, 54, 58, 62, 66, 70, 74,
78)(43, 47, 51, 55, 57, 63, 67, 71, 75, 77)(44, 48, 52, 56, 60, 64, 68, 72, 76,
80)(81, 85, 91, 95, 99, 101, 105, 111, 115, 119)(82, 86, 90, 94, 98, 102, 106,
110, 114, 118)(83, 87, 89, 93, 97, 103, 107, 109, 113, 117)(84, 88, 92, 96, 100,
104, 108, 112, 116, 120)(121, 122, 123, 124, 125, 126, 127, 128, 129, 130)(131,
132, 133, 134, 135, 136, 137, 138, 139, 140)(141, 162, 182, 202, 222, 146, 167,
187, 207, 227)(142, 161, 181, 201, 221, 147, 166, 186, 206, 226)(143, 170, 190,
210, 230, 148, 165, 185, 205, 225)(144, 169, 189, 209, 229, 149, 164, 184, 204,
224)(145, 168, 188, 208, 228, 150, 163, 183, 203, 223)(151, 172, 192, 212, 232,
156, 177, 197, 217, 237)(152, 171, 191, 211, 231, 157, 176, 196, 216, 236)(153,
180, 200, 220, 240, 158, 175, 195, 215, 235)(154, 179, 199, 219, 239, 159, 174,
194, 214, 234)(155, 178, 198, 218, 238, 160, 173, 193, 213, 233)
g: (1, 2)(3, 4)(21, 22)(23, 24)(41, 44)(42, 43)(57, 60)(58, 59)(61, 64)(62,
63)(77, 80)(78, 79)(81, 84)(82, 83)(89, 92)(90, 91)(101, 104)(102, 103)(109,
112)(110, 111)(141, 151)(142, 152)(143, 153)(144, 154)(145, 155)(146, 156)(147,
157)(148, 158)(149, 159)(150, 160)
h: (9, 10)(11, 12)(13, 14)(15, 16)(29, 30)(31, 32)(33, 34)(35, 36)(45, 46)(47,
48)(49, 51)(50, 52)(53, 56)(54, 55)(65, 66)(67, 68)(69, 71)(70, 72)(73, 76)(74,
75)(81, 82)(83, 84)(89, 90)(91, 92)(93, 94)(95, 96)(97, 100)(98, 99)(101,
102)(103, 104)(109, 110)(111, 112)(113, 114)(115, 116)(117, 120)(118, 119)(181,
191)(182, 192)(183, 193)(184, 194)(185, 195)(186, 196)(187, 197)(188, 198)(189,
199)(190, 200)(201, 211)(202, 212)(203, 213)(204, 214)(205, 215)(206, 216)(207,
217)(208, 218)(209, 219)(210, 220)
C4[ 240, 146 ]
240
-1 121 122 151 152
-2 121 122 141 142
-3 132 141 131 142
-4 132 151 152 131
-5 122 123 171 172
-6 122 123 161 162
-7 132 133 161 162
-8 132 133 171 172
-9 123 124 191 192
-10 123 124 181 182
-11 133 134 181 182
-12 133 134 191 192
-13 211 124 212 125
-14 124 201 125 202
-15 134 135 201 202
-16 134 211 135 212
-17 231 232 125 126
-18 221 222 125 126
-19 221 222 135 136
-20 231 232 135 136
-21 156 157 126 127
-22 146 147 126 127
-23 146 136 147 137
-24 156 157 136 137
-25 176 177 127 128
-26 166 167 127 128
-27 166 167 137 138
-28 176 177 137 138
-29 128 129 196 197
-30 187 128 129 186
-31 187 138 139 186
-32 138 139 196 197
-33 216 129 217 130
-34 129 206 130 207
-35 139 140 206 207
-36 139 216 140 217
-37 121 236 237 130
-38 121 226 227 130
-39 226 227 140 131
-40 236 237 140 131
-41 143 172 173 142
-42 143 162 163 142
-43 162 152 163 153
-44 172 173 152 153
-45 170 192 193 161
-46 170 182 161 183
-47 180 171 182 183
-48 180 192 171 193
-49 190 212 213 181
-50 190 202 181 203
-51 200 191 202 203
-52 200 212 191 213
-53 210 232 233 201
-54 210 222 201 223
-55 220 211 222 223
-56 220 232 211 233
-57 231 145 146 240
-58 221 145 146 230
-59 155 221 156 230
-60 231 155 156 240
-61 177 178 147 148
-62 167 168 147 148
-63 167 157 168 158
-64 177 178 157 158
-65 165 198 166 197
-66 165 187 166 188
-67 176 187 188 175
-68 176 198 175 197
-69 217 185 218 186
-70 185 207 186 208
-71 195 196 207 208
-72 195 217 196 218
-73 237 205 238 206
-74 205 227 206 228
-75 215 216 227 228
-76 215 237 216 238
-77 235 236 150 141
-78 225 226 150 141
-79 225 160 226 151
-80 235 236 160 151
-81 143 144 218 219
-82 143 209 144 208
-83 154 209 153 208
-84 154 218 153 219
-85 169 170 238 239
-86 169 170 228 229
-87 179 180 228 229
-88 179 180 238 239
-89 199 200 149 150
-90 189 190 149 150
-91 189 190 159 160
-92 199 200 159 160
-93 220 163 164 219
-94 209 210 163 164
-95 209 210 173 174
-96 220 173 174 219
-97 183 184 239 240
-98 183 184 229 230
-99 193 194 229 230
-100 193 194 239 240
-101 213 148 214 149
-102 148 203 149 204
-103 158 159 203 204
-104 158 213 159 214
-105 165 233 234 164
-106 165 223 224 164
-107 223 224 174 175
-108 233 234 174 175
-109 144 145 194 195
-110 144 145 184 185
-111 154 155 184 185
-112 154 155 194 195
-113 168 169 214 215
-114 168 169 204 205
-115 178 179 204 205
-116 178 179 214 215
-117 188 189 234 235
-118 188 189 224 225
-119 198 199 224 225
-120 198 199 234 235
-121 1 2 37 38
-122 1 2 5 6
-123 5 6 9 10
-124 13 14 9 10
-125 13 14 17 18
-126 22 17 18 21
-127 22 25 26 21
-128 25 26 29 30
-129 33 34 29 30
-130 33 34 37 38
-131 3 4 39 40
-132 3 4 7 8
-133 11 12 7 8
-134 11 12 15 16
-135 15 16 19 20
-136 23 24 19 20
-137 23 24 27 28
-138 27 28 31 32
-139 35 36 31 32
-140 35 36 39 40
-141 77 78 2 3
-142 2 3 41 42
-143 81 82 41 42
-144 110 81 82 109
-145 110 57 58 109
-146 22 23 57 58
-147 22 23 61 62
-148 101 102 61 62
-149 89 90 101 102
-150 77 78 89 90
-151 1 79 80 4
-152 44 1 4 43
-153 44 83 84 43
-154 111 112 83 84
-155 111 112 59 60
-156 24 59 60 21
-157 24 63 64 21
-158 103 104 63 64
-159 91 92 103 104
-160 79 80 91 92
-161 45 46 6 7
-162 6 7 42 43
-163 93 94 42 43
-164 93 94 105 106
-165 66 105 106 65
-166 66 26 27 65
-167 26 27 62 63
-168 113 114 62 63
-169 113 114 85 86
-170 45 46 85 86
-171 47 48 5 8
-172 44 5 8 41
-173 44 95 41 96
-174 95 96 107 108
-175 67 68 107 108
-176 67 68 25 28
-177 25 28 61 64
-178 115 61 116 64
-179 88 115 116 87
-180 88 47 48 87
-181 11 49 50 10
-182 11 46 47 10
-183 46 47 97 98
-184 110 111 97 98
-185 110 111 69 70
-186 69 70 30 31
-187 66 67 30 31
-188 66 67 117 118
-189 90 91 117 118
-190 90 91 49 50
-191 12 51 52 9
-192 12 45 48 9
-193 99 45 100 48
-194 99 100 112 109
-195 112 71 72 109
-196 71 72 29 32
-197 68 29 32 65
-198 68 119 65 120
-199 89 92 119 120
-200 89 92 51 52
-201 14 15 53 54
-202 14 15 50 51
-203 102 103 50 51
-204 102 103 114 115
-205 114 115 73 74
-206 34 35 73 74
-207 34 35 70 71
-208 70 71 82 83
-209 82 83 94 95
-210 94 95 53 54
-211 55 56 13 16
-212 13 16 49 52
-213 101 49 104 52
-214 101 113 104 116
-215 113 116 75 76
-216 33 36 75 76
-217 33 36 69 72
-218 69 81 72 84
-219 81 93 84 96
-220 55 56 93 96
-221 58 59 18 19
-222 55 18 19 54
-223 55 106 107 54
-224 106 107 118 119
-225 78 79 118 119
-226 78 79 38 39
-227 38 39 74 75
-228 74 75 86 87
-229 99 86 87 98
-230 99 58 59 98
-231 57 60 17 20
-232 56 17 20 53
-233 56 105 53 108
-234 105 117 108 120
-235 77 80 117 120
-236 77 80 37 40
-237 37 40 73 76
-238 88 73 85 76
-239 88 100 85 97
-240 100 57 60 97
0