Graph forms
for C4 [ 240, 134 ] =
PL(CS(Pr_10(1,1,2,2)[3^20],0))
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On this page are computer-accessible forms for the graph C4[ 240, 134 ] =
PL(CS(Pr_10(1,1,2,2)[3^20],0)).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {78, 127}, {77, 127}, {41, 121}, {44, 124}, {42, 123}, {41, 123},
{44, 126}, {42, 121}, {43, 126}, {43, 124}, {8, 125}, {8, 126}, {1, 121}, {2,
122}, {4, 124}, {4, 125}, {7, 126}, {7, 125}, {1, 122}, {2, 121}, {3, 127}, {6,
122}, {2, 127}, {6, 123}, {3, 125}, {5, 123}, {3, 124}, {5, 122}, {6, 134}, {8,
136}, {11, 139}, {13, 141}, {15, 143}, {16, 144}, {18, 146}, {7, 134}, {8, 137},
{10, 139}, {11, 138}, {13, 140}, {18, 147}, {20, 149}, {1, 131}, {2, 128}, {7,
133}, {11, 137}, {12, 142}, {14, 140}, {17, 147}, {20, 150}, {1, 130}, {3, 128},
{6, 133}, {12, 143}, {14, 141}, {17, 146}, {24, 155}, {16, 148}, {19, 151}, {24,
156}, {26, 158}, {12, 137}, {117, 240}, {16, 149}, {18, 151}, {19, 150}, {26,
159}, {4, 130}, {9, 143}, {10, 140}, {12, 138}, {19, 149}, {25, 159}, {4, 131},
{9, 142}, {11, 140}, {25, 158}, {32, 167}, {22, 158}, {120, 240}, {32, 168},
{34, 170}, {23, 158}, {109, 228}, {34, 171}, {36, 173}, {17, 155}, {18, 152},
{23, 157}, {33, 171}, {36, 174}, {17, 154}, {19, 152}, {22, 157}, {23, 156},
{33, 170}, {5, 137}, {10, 134}, {21, 153}, {23, 155}, {32, 172}, {35, 175}, {5,
136}, {10, 135}, {21, 152}, {32, 173}, {34, 175}, {35, 174}, {9, 135}, {111,
225}, {110, 224}, {109, 227}, {48, 190}, {20, 154}, {22, 152}, {35, 173}, {9,
134}, {111, 224}, {110, 225}, {48, 191}, {20, 155}, {22, 153}, {41, 185}, {37,
180}, {41, 184}, {93, 204}, {33, 179}, {46, 188}, {45, 191}, {34, 176}, {33,
178}, {119, 228}, {112, 227}, {47, 188}, {45, 190}, {35, 176}, {44, 184}, {117,
225}, {115, 231}, {112, 228}, {47, 187}, {44, 185}, {119, 226}, {114, 231}, {46,
187}, {36, 178}, {120, 238}, {115, 229}, {64, 214}, {39, 177}, {37, 179}, {38,
176}, {93, 203}, {94, 200}, {95, 201}, {36, 179}, {118, 225}, {114, 229}, {64,
215}, {39, 176}, {38, 177}, {87, 192}, {94, 201}, {95, 200}, {13, 149}, {68,
220}, {66, 218}, {71, 223}, {88, 192}, {90, 194}, {91, 195}, {13, 148}, {113,
232}, {68, 221}, {67, 218}, {70, 223}, {90, 195}, {91, 194}, {92, 197}, {67,
217}, {120, 226}, {119, 237}, {92, 198}, {40, 179}, {118, 237}, {117, 238},
{113, 234}, {66, 217}, {14, 146}, {120, 228}, {119, 235}, {116, 232}, {65, 221},
{42, 182}, {40, 180}, {89, 197}, {15, 146}, {118, 235}, {65, 220}, {63, 162},
{43, 182}, {15, 145}, {116, 234}, {43, 181}, {14, 145}, {63, 160}, {42, 181},
{15, 144}, {16, 143}, {89, 198}, {95, 192}, {57, 153}, {61, 157}, {60, 156},
{73, 233}, {96, 192}, {97, 193}, {100, 196}, {55, 150}, {62, 159}, {59, 154},
{73, 232}, {98, 195}, {102, 199}, {61, 159}, {77, 239}, {78, 236}, {97, 195},
{100, 198}, {101, 199}, {104, 202}, {39, 132}, {62, 157}, {58, 153}, {55, 148},
{51, 144}, {77, 238}, {79, 236}, {98, 193}, {37, 129}, {53, 145}, {52, 144},
{39, 131}, {76, 232}, {79, 235}, {104, 204}, {105, 205}, {37, 128}, {54, 147},
{47, 138}, {76, 233}, {78, 235}, {85, 240}, {99, 198}, {106, 207}, {38, 128},
{112, 214}, {60, 154}, {53, 147}, {69, 227}, {70, 224}, {105, 207}, {38, 129},
{69, 226}, {59, 156}, {54, 145}, {47, 136}, {71, 224}, {99, 196}, {106, 205},
{45, 133}, {116, 220}, {113, 217}, {112, 216}, {88, 240}, {46, 135}, {118, 223},
{114, 219}, {45, 135}, {117, 223}, {116, 222}, {113, 219}, {72, 226}, {40, 131},
{114, 217}, {46, 133}, {72, 227}, {96, 203}, {103, 204}, {40, 132}, {56, 148},
{74, 230}, {96, 204}, {98, 206}, {99, 207}, {101, 201}, {58, 151}, {115, 222},
{75, 230}, {98, 207}, {99, 206}, {103, 202}, {56, 150}, {57, 151}, {75, 229},
{74, 229}, {115, 220}, {102, 201}, {29, 173}, {107, 219}, {97, 209}, {104, 216},
{106, 218}, {29, 172}, {108, 221}, {107, 218}, {106, 219}, {101, 215}, {108,
222}, {102, 212}, {103, 213}, {97, 210}, {102, 213}, {103, 212}, {21, 161}, {30,
170}, {82, 230}, {83, 231}, {105, 221}, {21, 160}, {31, 170}, {82, 231}, {83,
230}, {100, 209}, {31, 169}, {100, 210}, {30, 169}, {111, 216}, {31, 168}, {88,
239}, {105, 222}, {24, 160}, {109, 213}, {48, 136}, {27, 163}, {29, 165}, {31,
167}, {81, 233}, {24, 161}, {111, 214}, {50, 139}, {26, 163}, {27, 162}, {29,
164}, {107, 210}, {27, 161}, {52, 142}, {49, 139}, {48, 138}, {28, 166}, {30,
164}, {85, 239}, {86, 236}, {87, 237}, {28, 167}, {110, 213}, {30, 165}, {81,
234}, {86, 237}, {87, 236}, {107, 208}, {49, 141}, {108, 208}, {28, 161}, {110,
211}, {51, 142}, {84, 233}, {101, 216}, {25, 167}, {109, 211}, {108, 210}, {26,
164}, {28, 162}, {80, 238}, {84, 234}, {25, 166}, {50, 141}, {27, 164}, {80,
239}, {104, 215}, {79, 132}, {77, 129}, {79, 130}, {78, 129}, {80, 130}, {80,
132}, {96, 190}, {64, 160}, {93, 189}, {66, 163}, {91, 186}, {95, 190}, {64,
162}, {68, 166}, {65, 163}, {91, 184}, {94, 189}, {65, 165}, {72, 172}, {82,
182}, {92, 184}, {67, 166}, {74, 175}, {82, 183}, {94, 187}, {72, 174}, {73,
175}, {81, 183}, {92, 186}, {93, 187}, {66, 165}, {81, 182}, {88, 191}, {57,
209}, {85, 189}, {87, 191}, {57, 208}, {71, 174}, {83, 186}, {85, 188}, {61,
215}, {62, 212}, {83, 185}, {86, 188}, {61, 214}, {67, 168}, {63, 212}, {71,
172}, {86, 189}, {60, 208}, {69, 169}, {68, 168}, {63, 211}, {89, 181}, {60,
209}, {62, 211}, {70, 171}, {84, 185}, {90, 183}, {69, 171}, {84, 186}, {89,
183}, {70, 169}, {90, 181}, {50, 194}, {55, 199}, {52, 196}, {51, 194}, {54,
199}, {52, 197}, {51, 193}, {56, 202}, {50, 193}, {56, 203}, {49, 197}, {58,
206}, {49, 196}, {59, 206}, {59, 205}, {58, 205}, {73, 177}, {76, 180}, {75,
178}, {74, 177}, {53, 203}, {54, 200}, {76, 178}, {53, 202}, {55, 200}, {75,
180} }>;
(II) A more general form is to represent the graph as the orbit of {78, 127}
under the group generated by the following permutations:
a: (65, 66)(67, 68)(105, 106)(107, 108)(113, 116)(114, 115)(217, 220)(218,
221)(219, 222) (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: (33, 34)(35, 36)(37, 38)(39, 40)(73, 76)(74, 75)(175, 178)(176, 179)(177,
180)
c: (25, 26)(27, 28)(29, 32)(30, 31)(65, 67)(66, 68)(105, 106)(107, 108)(113,
116)(114, 115)(163, 166)(164, 167)(165, 168)(217, 220)(218, 221)(219, 222)
d: (21, 22)(23, 24)(25, 28)(26, 27)(61, 64)(62, 63)(157, 160)(158, 161)(159,
162)
e: (41, 42)(43, 44)(73, 74)(75, 76)(81, 83)(82, 84)(89, 92)(90, 91)(113,
114)(115, 116)(181, 184)(182, 185)(183, 186)(229, 232)(230, 233)(231, 234)
f: (29, 30)(31, 32)(33, 36)(34, 35)(69, 71)(70, 72)(109, 110)(111, 112)(117,
120)(118, 119)(169, 172)(170, 173)(171, 174)(223, 226)(224, 227)(225, 228)
g: (53, 54)(55, 56)(93, 94)(95, 96)(101, 104)(102, 103)(199, 202)(200, 203)(201,
204)
h: (45, 46)(47, 48)(85, 88)(86, 87)(93, 96)(94, 95)(187, 190)(188, 191)(189,
192)
m: (17, 18)(19, 20)(21, 23)(22, 24)(25, 28)(26, 27)(57, 60)(58, 59)(61, 64)(62,
63)(151, 154)(152, 155)(153, 156)(157, 160)(158, 161)(159, 162)
n1: (1, 5, 12, 16, 20, 24, 28, 32, 36, 40)(2, 8, 9, 13, 17, 21, 25, 29, 33,
39)(3, 7, 10, 14, 18, 22, 26, 30, 34, 38)(4, 6, 11, 15, 19, 23, 27, 31, 35,
37)(41, 48, 52, 56, 60, 64, 68, 72, 76, 80)(42, 47, 51, 55, 59, 63, 67, 71, 75,
79)(43, 46, 50, 54, 58, 62, 66, 70, 74, 78)(44, 45, 49, 53, 57, 61, 65, 69, 73,
77)(81, 85, 91, 95, 99, 103, 107, 111, 115, 119)(82, 86, 90, 94, 98, 102, 106,
110, 114, 118)(83, 87, 89, 93, 97, 101, 105, 109, 113, 117)(84, 88, 92, 96, 100,
104, 108, 112, 116, 120)(121, 136, 142, 148, 154, 160, 166, 172, 178, 132)(122,
137, 143, 149, 155, 161, 167, 173, 179, 131)(123, 138, 144, 150, 156, 162, 168,
174, 180, 130)(124, 133, 139, 145, 151, 157, 163, 169, 175, 129)(125, 134, 140,
146, 152, 158, 164, 170, 176, 128)(126, 135, 141, 147, 153, 159, 165, 171, 177,
127)(181, 187, 193, 199, 205, 211, 217, 223, 230, 236)(182, 188, 194, 200, 206,
212, 218, 224, 229, 235)(183, 189, 195, 201, 207, 213, 219, 225, 231, 237)(184,
190, 196, 202, 208, 214, 220, 226, 233, 239)(185, 191, 197, 203, 209, 215, 221,
227, 232, 238)(186, 192, 198, 204, 210, 216, 222, 228, 234, 240)
a1: (61, 62)(63, 64)(101, 102)(103, 104)(109, 112)(110, 111)(211, 214)(212,
215)(213, 216)
b1: (49, 50)(51, 52)(89, 90)(91, 92)(97, 100)(98, 99)(193, 196)(194, 197)(195,
198)
c1: (77, 78)(79, 80)(85, 86)(87, 88)(117, 118)(119, 120)(235, 238)(236,
239)(237, 240)
d1: (73, 74)(75, 76)(81, 82)(83, 84)(113, 114)(115, 116)(229, 232)(230,
233)(231, 234)
e1: (57, 58)(59, 60)(97, 98)(99, 100)(105, 108)(106, 107)(205, 208)(206,
209)(207, 210)
f1: (5, 6)(7, 8)(9, 12)(10, 11)(45, 47)(46, 48)(85, 88)(86, 87)(93, 96)(94,
95)(133, 136)(134, 137)(135, 138)(187, 190)(188, 191)(189, 192)
g1: (1, 2)(3, 4)(37, 40)(38, 39)(77, 80)(78, 79)(127, 130)(128, 131)(129,
132)
h1: (9, 10)(11, 12)(13, 16)(14, 15)(49, 51)(50, 52)(89, 90)(91, 92)(97, 100)(98,
99)(139, 142)(140, 143)(141, 144)(193, 196)(194, 197)(195, 198)
m1: (2, 4)(5, 79, 6, 80)(7, 77, 8, 78)(9, 117, 12, 118)(10, 120, 11, 119)(13,
109, 14, 112)(15, 111, 16, 110)(17, 61, 20, 62)(18, 64, 19, 63)(22, 24)(25,
60)(26, 59)(27, 58)(28, 57)(29, 98)(30, 99)(31, 100)(32, 97)(33, 92)(34, 89)(35,
90)(36, 91)(37, 44)(38, 43)(39, 42)(40, 41)(45, 85, 48, 86)(46, 88, 47, 87)(49,
69)(50, 72)(51, 71)(52, 70)(53, 101, 56, 102)(54, 104, 55, 103)(65, 105)(66,
106)(67, 107)(68, 108)(73, 81)(74, 82)(75, 83)(76, 84)(93, 95)(94, 96)(121,
131)(122, 130)(123, 132)(124, 128)(125, 127)(126, 129)(133, 239, 136, 236)(134,
238, 137, 235)(135, 240, 138, 237)(139, 226)(140, 228)(141, 227)(142, 223)(143,
225)(144, 224)(145, 216, 148, 213)(146, 214, 149, 211)(147, 215, 150, 212)(151,
162)(152, 160)(153, 161)(154, 159)(155, 157)(156, 158)(163, 205)(164, 206)(165,
207)(166, 208)(167, 209)(168, 210)(169, 196)(170, 198)(171, 197)(172, 193)(173,
195)(174, 194)(175, 183)(176, 181)(177, 182)(178, 186)(179, 184)(180, 185)(187,
192)(188, 191)(189, 190)(199, 202)(200, 204)(201, 203)(217, 219)(220, 222)(229,
231)(232, 234)
n2: (13, 14)(15, 16)(17, 20)(18, 19)(53, 55)(54, 56)(93, 94)(95, 96)(101,
104)(102, 103)(145, 148)(146, 149)(147, 150)(199, 202)(200, 203)(201, 204)
a2: (2, 4)(5, 40)(6, 39)(7, 38)(8, 37)(9, 35)(10, 34)(11, 33)(12, 36)(13,
31)(14, 30)(15, 29)(16, 32)(17, 26)(18, 27)(19, 28)(20, 25)(22, 24)(41, 79, 42,
80)(43, 77, 44, 78)(45, 73, 46, 74)(47, 75, 48, 76)(49, 69)(50, 70)(51, 71)(52,
72)(53, 65)(54, 66)(55, 67)(56, 68)(57, 64)(58, 63)(59, 62)(60, 61)(81, 85, 83,
87)(82, 88, 84, 86)(89, 120, 92, 119)(90, 117, 91, 118)(93, 115, 96, 116)(94,
114, 95, 113)(97, 111)(98, 110)(99, 109)(100, 112)(101, 107)(102, 106)(103,
105)(104, 108)(121, 130)(122, 131)(123, 132)(124, 127)(125, 128)(126, 129)(133,
177)(134, 176)(135, 175)(136, 180)(137, 179)(138, 178)(139, 171)(140, 170)(141,
169)(142, 174)(143, 173)(144, 172)(145, 165)(146, 164)(147, 163)(148, 168)(149,
167)(150, 166)(151, 162)(152, 161)(153, 160)(154, 159)(155, 158)(156, 157)(181,
238, 184, 235)(182, 239, 185, 236)(183, 240, 186, 237)(187, 229, 190, 232)(188,
230, 191, 233)(189, 231, 192, 234)(193, 224)(194, 223)(195, 225)(196, 227)(197,
226)(198, 228)(199, 218)(200, 217)(201, 219)(202, 221)(203, 220)(204, 222)(205,
212)(206, 211)(207, 213)(208, 215)(209, 214)(210, 216)
b2: (69, 70)(71, 72)(109, 110)(111, 112)(117, 120)(118, 119)(223, 226)(224,
227)(225, 228)
C4[ 240, 134 ]
240
-1 121 122 130 131
-2 121 122 127 128
-3 124 125 127 128
-4 124 125 130 131
-5 122 123 136 137
-6 122 133 123 134
-7 133 134 125 126
-8 125 136 126 137
-9 143 134 135 142
-10 134 135 139 140
-11 137 138 139 140
-12 143 137 138 142
-13 148 149 140 141
-14 145 146 140 141
-15 143 144 145 146
-16 143 144 148 149
-17 154 155 146 147
-18 146 147 151 152
-19 149 150 151 152
-20 154 155 149 150
-21 160 161 152 153
-22 157 158 152 153
-23 155 156 157 158
-24 155 156 160 161
-25 166 167 158 159
-26 158 159 163 164
-27 161 162 163 164
-28 166 167 161 162
-29 165 172 173 164
-30 165 169 170 164
-31 167 168 169 170
-32 167 168 172 173
-33 178 179 170 171
-34 176 170 171 175
-35 176 173 174 175
-36 178 179 173 174
-37 179 180 128 129
-38 176 177 128 129
-39 132 176 177 131
-40 132 179 180 131
-41 121 123 184 185
-42 121 123 181 182
-43 124 126 181 182
-44 124 126 184 185
-45 133 135 190 191
-46 187 133 188 135
-47 187 188 136 138
-48 190 136 191 138
-49 139 141 196 197
-50 193 139 194 141
-51 144 193 194 142
-52 144 196 142 197
-53 145 147 202 203
-54 199 145 200 147
-55 199 200 148 150
-56 202 148 203 150
-57 209 151 153 208
-58 205 151 206 153
-59 154 156 205 206
-60 154 209 156 208
-61 157 159 214 215
-62 211 157 212 159
-63 211 212 160 162
-64 214 160 215 162
-65 165 220 221 163
-66 165 217 163 218
-67 166 168 217 218
-68 220 166 221 168
-69 169 171 226 227
-70 223 169 224 171
-71 223 224 172 174
-72 226 172 227 174
-73 177 232 233 175
-74 177 229 175 230
-75 178 180 229 230
-76 232 178 233 180
-77 127 238 129 239
-78 235 236 127 129
-79 132 235 236 130
-80 132 238 239 130
-81 233 234 182 183
-82 231 182 183 230
-83 231 185 186 230
-84 233 234 185 186
-85 188 189 239 240
-86 188 189 236 237
-87 191 192 236 237
-88 191 192 239 240
-89 198 181 183 197
-90 181 183 194 195
-91 194 184 195 186
-92 198 184 186 197
-93 187 189 203 204
-94 187 189 200 201
-95 200 190 201 192
-96 190 192 203 204
-97 209 210 193 195
-98 193 195 206 207
-99 198 206 196 207
-100 198 209 210 196
-101 199 201 215 216
-102 199 201 212 213
-103 212 202 213 204
-104 202 204 215 216
-105 221 222 205 207
-106 205 207 218 219
-107 210 218 208 219
-108 210 221 222 208
-109 211 213 227 228
-110 211 213 224 225
-111 224 214 225 216
-112 214 216 227 228
-113 232 234 217 219
-114 231 217 229 219
-115 220 231 222 229
-116 220 232 222 234
-117 223 225 238 240
-118 223 235 225 237
-119 235 226 237 228
-120 226 238 228 240
-121 1 2 41 42
-122 1 2 5 6
-123 5 6 41 42
-124 44 3 4 43
-125 3 4 7 8
-126 44 7 8 43
-127 77 78 2 3
-128 2 3 37 38
-129 77 78 37 38
-130 1 79 80 4
-131 1 4 39 40
-132 79 80 39 40
-133 45 46 6 7
-134 6 7 9 10
-135 45 46 9 10
-136 47 48 5 8
-137 11 12 5 8
-138 11 12 47 48
-139 11 49 50 10
-140 11 13 14 10
-141 13 14 49 50
-142 12 51 52 9
-143 12 15 16 9
-144 15 16 51 52
-145 14 15 53 54
-146 14 15 17 18
-147 17 18 53 54
-148 55 56 13 16
-149 13 16 19 20
-150 55 56 19 20
-151 57 58 18 19
-152 22 18 19 21
-153 22 57 58 21
-154 59 60 17 20
-155 23 24 17 20
-156 23 24 59 60
-157 22 23 61 62
-158 22 23 25 26
-159 25 26 61 62
-160 24 63 64 21
-161 24 27 28 21
-162 27 28 63 64
-163 66 26 27 65
-164 26 27 29 30
-165 66 29 30 65
-166 67 68 25 28
-167 25 28 31 32
-168 67 68 31 32
-169 69 70 30 31
-170 33 34 30 31
-171 33 34 69 70
-172 71 72 29 32
-173 35 36 29 32
-174 35 36 71 72
-175 34 35 73 74
-176 34 35 38 39
-177 38 39 73 74
-178 33 36 75 76
-179 33 36 37 40
-180 37 40 75 76
-181 89 90 42 43
-182 81 82 42 43
-183 89 90 81 82
-184 44 91 92 41
-185 44 83 84 41
-186 91 92 83 84
-187 46 47 93 94
-188 46 47 85 86
-189 93 94 85 86
-190 45 48 95 96
-191 88 45 48 87
-192 88 95 96 87
-193 50 51 97 98
-194 90 91 50 51
-195 90 91 97 98
-196 99 100 49 52
-197 89 92 49 52
-198 99 89 100 92
-199 55 101 102 54
-200 55 94 95 54
-201 101 102 94 95
-202 56 103 104 53
-203 56 93 96 53
-204 103 93 104 96
-205 58 59 105 106
-206 99 58 59 98
-207 99 105 106 98
-208 57 60 107 108
-209 100 57 60 97
-210 100 107 97 108
-211 110 62 63 109
-212 102 103 62 63
-213 110 102 103 109
-214 111 112 61 64
-215 101 104 61 64
-216 111 101 112 104
-217 66 67 113 114
-218 66 67 106 107
-219 113 114 106 107
-220 68 115 116 65
-221 68 105 108 65
-222 115 105 116 108
-223 70 71 117 118
-224 110 111 70 71
-225 110 111 117 118
-226 69 72 119 120
-227 112 69 72 109
-228 112 119 109 120
-229 114 115 74 75
-230 82 83 74 75
-231 114 82 115 83
-232 113 116 73 76
-233 81 73 84 76
-234 113 81 116 84
-235 78 79 118 119
-236 78 79 86 87
-237 118 86 119 87
-238 77 80 117 120
-239 77 88 80 85
-240 88 117 85 120
0