Graph forms
for C4 [ 240, 157 ] = BGCG(TAG(F10),C_4,1)
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On this page are computer-accessible forms for the graph C4[ 240, 157 ] =
BGCG(TAG(F10),C_4,1).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {120, 124}, {59, 62}, {179, 182}, {56, 62}, {176, 182}, {117,
124}, {177, 184}, {84, 94}, {209, 219}, {144, 154}, {149, 159}, {84, 95}, {144,
155}, {180, 184}, {119, 122}, {209, 220}, {116, 122}, {48, 63}, {45, 61}, {105,
121}, {165, 181}, {175, 191}, {46, 63}, {106, 123}, {166, 183}, {175, 190}, {78,
92}, {138, 152}, {140, 158}, {172, 190}, {173, 191}, {198, 212}, {200, 218},
{78, 93}, {200, 219}, {138, 153}, {140, 159}, {198, 213}, {137, 157}, {72, 93},
{137, 156}, {192, 213}, {72, 94}, {192, 214}, {42, 61}, {108, 123}, {105, 126},
{162, 181}, {164, 188}, {199, 223}, {100, 125}, {103, 126}, {160, 185}, {163,
186}, {5, 31}, {204, 214}, {65, 91}, {204, 215}, {97, 125}, {197, 217}, {65,
92}, {128, 157}, {132, 153}, {161, 188}, {195, 222}, {197, 216}, {1, 31}, {128,
158}, {132, 154}, {193, 223}, {195, 221}, {102, 121}, {165, 186}, {168, 183},
{193, 222}, {1, 35}, {205, 239}, {93, 127}, {85, 119}, {25, 59}, {145, 179},
{153, 187}, {25, 58}, {205, 238}, {85, 118}, {145, 178}, {82, 118}, {203, 239},
{202, 238}, {91, 127}, {83, 119}, {157, 185}, {5, 32}, {15, 42}, {16, 53}, {68,
97}, {74, 111}, {135, 162}, {136, 173}, {194, 231}, {2, 36}, {207, 233}, {87,
113}, {9, 47}, {13, 43}, {15, 41}, {16, 54}, {68, 98}, {129, 167}, {133, 163},
{135, 161}, {136, 174}, {13, 42}, {207, 232}, {202, 237}, {87, 112}, {82, 117},
{79, 104}, {133, 162}, {154, 189}, {199, 224}, {26, 50}, {206, 230}, {79, 103},
{139, 163}, {69, 108}, {129, 168}, {2, 40}, {201, 227}, {88, 114}, {3, 41}, {4,
46}, {28, 54}, {64, 106}, {71, 109}, {131, 169}, {134, 172}, {141, 167}, {151,
189}, {194, 232}, {23, 60}, {206, 229}, {201, 226}, {88, 115}, {83, 120}, {26,
49}, {28, 55}, {71, 108}, {131, 168}, {141, 166}, {22, 58}, {77, 97}, {23, 59},
{151, 187}, {8, 37}, {77, 96}, {12, 33}, {66, 111}, {75, 102}, {134, 171}, {196,
233}, {3, 45}, {8, 38}, {12, 34}, {27, 53}, {64, 110}, {69, 107}, {73, 103},
{75, 101}, {196, 234}, {22, 57}, {27, 52}, {73, 102}, {139, 164}, {6, 55}, {66,
115}, {10, 56}, {210, 224}, {90, 104}, {80, 98}, {18, 32}, {20, 38}, {30, 44},
{70, 116}, {130, 176}, {150, 164}, {10, 57}, {210, 225}, {90, 105}, {80, 99},
{18, 33}, {20, 39}, {30, 45}, {70, 117}, {130, 177}, {150, 165}, {17, 37}, {6,
51}, {17, 36}, {29, 40}, {149, 160}, {4, 50}, {67, 116}, {19, 43}, {86, 110},
{146, 170}, {9, 48}, {11, 49}, {208, 234}, {89, 99}, {81, 107}, {14, 52}, {21,
47}, {24, 34}, {29, 39}, {74, 112}, {148, 174}, {7, 60}, {208, 235}, {203, 240},
{86, 109}, {81, 106}, {11, 48}, {21, 46}, {24, 35}, {67, 120}, {143, 180}, {146,
169}, {148, 175}, {142, 178}, {143, 179}, {14, 51}, {89, 100}, {76, 113}, {76,
114}, {147, 173}, {7, 56}, {19, 44}, {142, 177}, {147, 172}, {187, 240}, {158,
208}, {153, 200}, {186, 235}, {190, 236}, {155, 200}, {190, 237}, {155, 207},
{156, 201}, {159, 202}, {63, 105}, {183, 225}, {152, 207}, {157, 202}, {158,
201}, {187, 236}, {189, 228}, {31, 69}, {62, 100}, {63, 101}, {184, 226}, {191,
229}, {191, 228}, {31, 67}, {154, 199}, {156, 193}, {186, 231}, {62, 96}, {159,
193}, {184, 230}, {189, 227}, {152, 199}, {46, 78}, {58, 90}, {166, 198}, {178,
210}, {33, 67}, {56, 90}, {61, 95}, {176, 210}, {181, 215}, {37, 65}, {49, 85},
{169, 205}, {47, 74}, {167, 194}, {188, 217}, {61, 91}, {181, 211}, {188, 218},
{34, 69}, {44, 68}, {163, 203}, {170, 194}, {173, 197}, {40, 65}, {43, 66}, {48,
89}, {161, 203}, {164, 206}, {167, 205}, {182, 220}, {183, 221}, {185, 211},
{50, 89}, {171, 192}, {162, 206}, {34, 79}, {36, 73}, {41, 68}, {57, 84}, {174,
195}, {185, 212}, {39, 73}, {171, 197}, {174, 192}, {182, 216}, {32, 79}, {45,
66}, {59, 84}, {169, 198}, {172, 195}, {40, 88}, {55, 71}, {60, 76}, {160, 208},
{180, 196}, {33, 80}, {55, 70}, {52, 70}, {53, 71}, {35, 80}, {35, 87}, {36,
81}, {39, 82}, {58, 76}, {178, 196}, {32, 87}, {37, 82}, {38, 81}, {43, 83},
{50, 74}, {53, 77}, {57, 64}, {168, 209}, {41, 83}, {44, 86}, {47, 85}, {51,
72}, {170, 209}, {42, 86}, {60, 64}, {54, 75}, {177, 204}, {38, 88}, {51, 77},
{54, 72}, {49, 78}, {52, 75}, {179, 204}, {28, 220}, {20, 213}, {20, 215}, {26,
222}, {19, 214}, {28, 218}, {19, 212}, {23, 223}, {23, 221}, {127, 180}, {27,
215}, {95, 147}, {21, 216}, {22, 219}, {21, 218}, {92, 147}, {22, 217}, {27,
212}, {127, 176}, {93, 140}, {126, 175}, {7, 213}, {95, 140}, {7, 211}, {8,
221}, {94, 139}, {13, 216}, {126, 171}, {13, 219}, {124, 170}, {92, 139}, {5,
220}, {6, 223}, {9, 211}, {124, 166}, {123, 161}, {122, 160}, {91, 129}, {5,
217}, {123, 165}, {1, 222}, {94, 129}, {9, 214}, {1, 225}, {118, 150}, {106,
138}, {11, 235}, {16, 240}, {3, 226}, {10, 235}, {10, 232}, {121, 155}, {116,
150}, {11, 233}, {15, 234}, {117, 144}, {101, 128}, {96, 133}, {125, 152}, {12,
234}, {122, 156}, {111, 137}, {99, 133}, {3, 228}, {119, 144}, {109, 138}, {6,
225}, {15, 232}, {8, 224}, {110, 134}, {104, 128}, {103, 143}, {14, 230}, {4,
237}, {101, 143}, {125, 151}, {12, 231}, {111, 132}, {2, 239}, {107, 134}, {99,
142}, {96, 141}, {14, 227}, {2, 236}, {121, 151}, {97, 142}, {98, 141}, {18,
226}, {120, 136}, {115, 131}, {100, 148}, {30, 238}, {115, 130}, {30, 236},
{113, 131}, {112, 130}, {4, 240}, {102, 146}, {24, 237}, {114, 135}, {17, 231},
{114, 132}, {98, 148}, {18, 229}, {112, 135}, {24, 239}, {17, 233}, {113, 137},
{29, 228}, {108, 149}, {25, 227}, {107, 145}, {104, 146}, {26, 224}, {29, 230},
{110, 149}, {25, 229}, {109, 145}, {16, 238}, {118, 136} }>;
(II) A more general form is to represent the graph as the orbit of {120, 124}
under the group generated by the following permutations:
a: (1, 3, 21, 17, 27)(2, 16, 24, 30, 4)(5, 15, 9, 8, 14)(6, 18, 13, 11, 20)(7,
23, 25, 22, 10)(12, 19, 26, 29, 28)(31, 41, 47, 37, 52)(32, 42, 48, 38, 51)(33,
43, 49, 39, 55)(34, 44, 50, 40, 54)(35, 45, 46, 36, 53)(56, 60, 59, 58, 57)(61,
63, 81, 77, 87)(62, 76, 84, 90, 64)(65, 75, 69, 68, 74)(66, 78, 73, 71, 80)(67,
83, 85, 82, 70)(72, 79, 86, 89, 88)(91, 101, 107, 97, 112)(92, 102, 108, 98,
111)(93, 103, 109, 99, 115)(94, 104, 110, 100, 114)(95, 105, 106, 96, 113)(116,
120, 119, 118, 117)(121, 123, 141, 137, 147)(122, 136, 144, 150, 124)(125, 135,
129, 128, 134)(126, 138, 133, 131, 140)(127, 143, 145, 142, 130)(132, 139, 146,
149, 148)(151, 161, 167, 157, 172)(152, 162, 168, 158, 171)(153, 163, 169, 159,
175)(154, 164, 170, 160, 174)(155, 165, 166, 156, 173)(176, 180, 179, 178,
177)(181, 183, 201, 197, 207)(182, 196, 204, 210, 184)(185, 195, 189, 188,
194)(186, 198, 193, 191, 200)(187, 203, 205, 202, 190)(192, 199, 206, 209,
208)(211, 221, 227, 217, 232)(212, 222, 228, 218, 231)(213, 223, 229, 219,
235)(214, 224, 230, 220, 234)(215, 225, 226, 216, 233)(236, 240, 239, 238,
237) (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, 11)(3, 7)(5, 6)(8, 12)(9, 30)(10, 29)(13, 27)(14, 22)(15, 20)(16, 21)(18,
23)(24, 26)(31, 225)(32, 223)(33, 221)(34, 224)(35, 222)(36, 233)(37, 231)(38,
234)(39, 232)(40, 235)(41, 213)(42, 215)(43, 212)(44, 214)(45, 211)(46, 240)(47,
238)(48, 236)(49, 239)(50, 237)(51, 217)(52, 219)(53, 216)(54, 218)(55, 220)(56,
228)(57, 230)(58, 227)(59, 229)(60, 226)(61, 181)(62, 191)(63, 187)(64, 184)(65,
186)(66, 185)(67, 183)(68, 192)(69, 210)(70, 209)(71, 182)(72, 188)(73, 207)(74,
202)(75, 200)(76, 201)(77, 197)(78, 203)(79, 199)(80, 195)(81, 196)(82, 194)(83,
198)(84, 206)(85, 205)(86, 204)(87, 193)(88, 208)(89, 190)(90, 189)(91, 165)(92,
163)(93, 161)(94, 164)(95, 162)(96, 173)(97, 171)(98, 174)(99, 172)(100,
175)(101, 153)(102, 155)(103, 152)(104, 154)(105, 151)(106, 180)(107, 178)(108,
176)(109, 179)(110, 177)(111, 157)(112, 159)(113, 156)(114, 158)(115, 160)(116,
168)(117, 170)(118, 167)(119, 169)(120, 166)(122, 131)(123, 127)(125, 126)(128,
132)(129, 150)(130, 149)(133, 147)(134, 142)(135, 140)(136, 141)(138, 143)(144,
146)
c: (1, 61, 121, 181)(2, 62, 122, 182)(3, 63, 123, 183)(4, 64, 124, 184)(5, 65,
125, 185)(6, 66, 126, 186)(7, 67, 127, 187)(8, 68, 128, 188)(9, 69, 129,
189)(10, 70, 130, 190)(11, 71, 131, 191)(12, 72, 132, 192)(13, 73, 133, 193)(14,
74, 134, 194)(15, 75, 135, 195)(16, 76, 136, 196)(17, 77, 137, 197)(18, 78, 138,
198)(19, 79, 139, 199)(20, 80, 140, 200)(21, 81, 141, 201)(22, 82, 142, 202)(23,
83, 143, 203)(24, 84, 144, 204)(25, 85, 145, 205)(26, 86, 146, 206)(27, 87, 147,
207)(28, 88, 148, 208)(29, 89, 149, 209)(30, 90, 150, 210)(31, 91, 151, 211)(32,
92, 152, 212)(33, 93, 153, 213)(34, 94, 154, 214)(35, 95, 155, 215)(36, 96, 156,
216)(37, 97, 157, 217)(38, 98, 158, 218)(39, 99, 159, 219)(40, 100, 160,
220)(41, 101, 161, 221)(42, 102, 162, 222)(43, 103, 163, 223)(44, 104, 164,
224)(45, 105, 165, 225)(46, 106, 166, 226)(47, 107, 167, 227)(48, 108, 168,
228)(49, 109, 169, 229)(50, 110, 170, 230)(51, 111, 171, 231)(52, 112, 172,
232)(53, 113, 173, 233)(54, 114, 174, 234)(55, 115, 175, 235)(56, 116, 176,
236)(57, 117, 177, 237)(58, 118, 178, 238)(59, 119, 179, 239)(60, 120, 180,
240)
d: (1, 2, 14)(3, 23, 4)(5, 17, 27)(6, 24, 29)(7, 21, 15)(8, 16, 18)(9, 13,
10)(11, 19, 22)(12, 20, 28)(25, 26, 30)(31, 36, 52)(32, 37, 53)(33, 38, 54)(34,
39, 55)(35, 40, 51)(41, 60, 46)(42, 56, 47)(43, 57, 48)(44, 58, 49)(45, 59,
50)(61, 62, 74)(63, 83, 64)(65, 77, 87)(66, 84, 89)(67, 81, 75)(68, 76, 78)(69,
73, 70)(71, 79, 82)(72, 80, 88)(85, 86, 90)(91, 96, 112)(92, 97, 113)(93, 98,
114)(94, 99, 115)(95, 100, 111)(101, 120, 106)(102, 116, 107)(103, 117,
108)(104, 118, 109)(105, 119, 110)(121, 122, 134)(123, 143, 124)(125, 137,
147)(126, 144, 149)(127, 141, 135)(128, 136, 138)(129, 133, 130)(131, 139,
142)(132, 140, 148)(145, 146, 150)(151, 156, 172)(152, 157, 173)(153, 158,
174)(154, 159, 175)(155, 160, 171)(161, 180, 166)(162, 176, 167)(163, 177,
168)(164, 178, 169)(165, 179, 170)(181, 182, 194)(183, 203, 184)(185, 197,
207)(186, 204, 209)(187, 201, 195)(188, 196, 198)(189, 193, 190)(191, 199,
202)(192, 200, 208)(205, 206, 210)(211, 216, 232)(212, 217, 233)(213, 218,
234)(214, 219, 235)(215, 220, 231)(221, 240, 226)(222, 236, 227)(223, 237,
228)(224, 238, 229)(225, 239, 230)
e: (2, 22)(3, 15)(4, 28)(5, 24)(6, 26)(7, 20)(8, 23)(9, 27)(10, 29)(11, 14)(12,
18)(13, 30)(16, 21)(17, 25)(31, 35)(32, 34)(36, 58)(37, 59)(38, 60)(39, 56)(40,
57)(42, 45)(43, 44)(46, 54)(47, 53)(48, 52)(49, 51)(50, 55)(62, 82)(63, 75)(64,
88)(65, 84)(66, 86)(67, 80)(68, 83)(69, 87)(70, 89)(71, 74)(72, 78)(73, 90)(76,
81)(77, 85)(91, 95)(92, 94)(96, 118)(97, 119)(98, 120)(99, 116)(100, 117)(102,
105)(103, 104)(106, 114)(107, 113)(108, 112)(109, 111)(110, 115)(122, 142)(123,
135)(124, 148)(125, 144)(126, 146)(127, 140)(128, 143)(129, 147)(130, 149)(131,
134)(132, 138)(133, 150)(136, 141)(137, 145)(151, 155)(152, 154)(156, 178)(157,
179)(158, 180)(159, 176)(160, 177)(162, 165)(163, 164)(166, 174)(167, 173)(168,
172)(169, 171)(170, 175)(182, 202)(183, 195)(184, 208)(185, 204)(186, 206)(187,
200)(188, 203)(189, 207)(190, 209)(191, 194)(192, 198)(193, 210)(196, 201)(197,
205)(211, 215)(212, 214)(216, 238)(217, 239)(218, 240)(219, 236)(220, 237)(222,
225)(223, 224)(226, 234)(227, 233)(228, 232)(229, 231)(230, 235)
C4[ 240, 157 ]
240
-1 35 222 225 31
-2 36 236 40 239
-3 45 226 41 228
-4 46 50 237 240
-5 220 217 31 32
-6 55 223 225 51
-7 56 211 213 60
-8 221 37 224 38
-9 211 47 48 214
-10 56 232 57 235
-11 233 48 235 49
-12 33 231 34 234
-13 216 42 43 219
-14 51 227 52 230
-15 232 234 41 42
-16 238 53 240 54
-17 231 233 36 37
-18 33 226 229 32
-19 44 212 214 43
-20 213 38 39 215
-21 46 47 216 218
-22 57 58 217 219
-23 221 223 59 60
-24 34 35 237 239
-25 58 59 227 229
-26 222 224 49 50
-27 212 215 52 53
-28 55 220 218 54
-29 39 40 228 230
-30 44 45 236 238
-31 1 67 69 5
-32 79 5 18 87
-33 12 67 80 18
-34 12 24 79 69
-35 1 24 80 87
-36 2 81 17 73
-37 82 17 8 65
-38 88 81 8 20
-39 82 29 73 20
-40 88 2 29 65
-41 68 3 15 83
-42 13 15 61 86
-43 66 13 83 19
-44 68 19 30 86
-45 66 3 61 30
-46 78 4 63 21
-47 74 85 9 21
-48 11 89 63 9
-49 11 78 26 85
-50 89 4 26 74
-51 77 14 6 72
-52 14 70 27 75
-53 77 16 27 71
-54 16 28 72 75
-55 70 71 6 28
-56 90 7 62 10
-57 22 84 64 10
-58 22 90 25 76
-59 23 25 62 84
-60 23 7 64 76
-61 45 91 95 42
-62 56 100 59 96
-63 46 101 48 105
-64 110 57 60 106
-65 91 37 92 40
-66 45 111 115 43
-67 33 116 31 120
-68 44 41 97 98
-69 34 107 31 108
-70 55 116 117 52
-71 55 53 108 109
-72 93 94 51 54
-73 36 102 103 39
-74 111 112 47 50
-75 101 102 52 54
-76 58 113 114 60
-77 51 96 53 97
-78 46 92 49 93
-79 34 103 104 32
-80 33 99 35 98
-81 36 38 106 107
-82 37 39 117 118
-83 41 119 43 120
-84 57 59 94 95
-85 47 49 118 119
-86 44 110 42 109
-87 35 112 113 32
-88 114 38 115 40
-89 99 100 48 50
-90 56 58 104 105
-91 61 127 129 65
-92 78 147 139 65
-93 78 72 127 140
-94 72 84 139 129
-95 147 61 84 140
-96 77 133 62 141
-97 77 68 125 142
-98 68 80 148 141
-99 89 133 80 142
-100 89 125 148 62
-101 143 128 63 75
-102 121 146 73 75
-103 143 79 126 73
-104 79 90 146 128
-105 121 90 126 63
-106 123 81 138 64
-107 134 145 69 81
-108 123 69 71 149
-109 145 71 138 86
-110 134 149 64 86
-111 66 132 137 74
-112 135 74 130 87
-113 137 76 87 131
-114 88 132 135 76
-115 66 88 130 131
-116 67 122 70 150
-117 144 124 70 82
-118 136 82 150 85
-119 122 144 83 85
-120 67 124 136 83
-121 155 102 105 151
-122 156 116 160 119
-123 165 106 161 108
-124 166 170 117 120
-125 100 151 97 152
-126 103 105 171 175
-127 176 91 180 93
-128 101 157 158 104
-129 167 91 168 94
-130 176 177 112 115
-131 113 168 169 115
-132 154 111 114 153
-133 99 96 162 163
-134 110 171 172 107
-135 112 114 161 162
-136 118 173 174 120
-137 111 156 113 157
-138 106 152 109 153
-139 92 94 163 164
-140 158 93 159 95
-141 166 167 96 98
-142 99 177 178 97
-143 101 179 103 180
-144 154 155 117 119
-145 178 179 107 109
-146 102 169 104 170
-147 92 95 172 173
-148 100 174 98 175
-149 110 159 160 108
-150 165 116 118 164
-151 121 187 189 125
-152 199 125 138 207
-153 132 187 200 138
-154 132 144 199 189
-155 121 144 200 207
-156 122 201 137 193
-157 202 137 128 185
-158 201 128 140 208
-159 202 149 193 140
-160 122 149 185 208
-161 188 123 135 203
-162 133 135 181 206
-163 133 203 139 186
-164 188 139 150 206
-165 123 181 150 186
-166 198 124 183 141
-167 194 205 129 141
-168 209 183 129 131
-169 198 146 205 131
-170 209 124 146 194
-171 134 126 192 197
-172 134 190 147 195
-173 136 147 191 197
-174 136 148 192 195
-175 190 191 126 148
-176 210 127 182 130
-177 204 184 130 142
-178 210 145 196 142
-179 143 145 182 204
-180 143 127 184 196
-181 165 211 215 162
-182 176 220 179 216
-183 166 221 168 225
-184 177 180 226 230
-185 211 157 212 160
-186 165 231 235 163
-187 236 151 240 153
-188 161 217 218 164
-189 154 227 151 228
-190 236 237 172 175
-191 173 228 229 175
-192 213 214 171 174
-193 156 222 223 159
-194 231 232 167 170
-195 221 222 172 174
-196 178 233 234 180
-197 171 216 173 217
-198 166 212 169 213
-199 154 223 224 152
-200 155 218 153 219
-201 156 158 226 227
-202 157 159 237 238
-203 161 239 163 240
-204 177 179 214 215
-205 167 169 238 239
-206 162 229 164 230
-207 155 232 233 152
-208 234 158 235 160
-209 220 168 170 219
-210 176 178 224 225
-211 181 7 9 185
-212 198 27 19 185
-213 198 192 7 20
-214 192 204 19 9
-215 27 181 204 20
-216 13 182 21 197
-217 22 188 5 197
-218 188 200 28 21
-219 22 209 13 200
-220 209 5 28 182
-221 23 183 8 195
-222 1 26 193 195
-223 23 199 6 193
-224 199 210 26 8
-225 1 210 6 183
-226 3 201 18 184
-227 189 14 25 201
-228 189 3 191 29
-229 25 191 18 206
-230 14 29 184 206
-231 12 17 194 186
-232 15 194 207 10
-233 11 17 196 207
-234 12 15 196 208
-235 11 10 186 208
-236 187 2 190 30
-237 24 190 4 202
-238 202 16 205 30
-239 2 24 203 205
-240 187 4 16 203
0