Graph forms
for C4 [ 250, 16 ] = SS[250,1]
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On this page are computer-accessible forms for the graph C4[ 250, 16 ] =
SS[250,1].
(I) Following is a form readable by MAGMA:
g:=Graph<250|{ {122, 123}, {1, 3}, {13, 15}, {1, 2}, {200, 203}, {40, 43}, {1,
5}, {121, 125}, {1, 4}, {201, 204}, {200, 205}, {41, 44}, {17, 23}, {202, 204},
{41, 47}, {122, 124}, {42, 45}, {202, 205}, {201, 206}, {121, 126}, {231, 239},
{16, 25}, {199, 206}, {196, 205}, {39, 46}, {18, 24}, {198, 204}, {116, 127},
{32, 44}, {199, 203}, {195, 206}, {197, 203}, {33, 46}, {34, 45}, {12, 28},
{199, 215}, {192, 208}, {41, 57}, {40, 56}, {107, 123}, {12, 29}, {200, 217},
{197, 212}, {196, 213}, {38, 55}, {36, 53}, {12, 30}, {202, 216}, {108, 126},
{37, 54}, {201, 218}, {194, 209}, {193, 210}, {32, 52}, {236, 248}, {227, 247},
{224, 244}, {105, 125}, {15, 26}, {198, 211}, {195, 214}, {38, 51}, {104, 125},
{106, 127}, {106, 124}, {12, 27}, {238, 249}, {237, 250}, {226, 245}, {225,
246}, {39, 48}, {35, 52}, {34, 53}, {33, 54}, {232, 240}, {103, 126}, {40, 50},
{102, 124}, {35, 56}, {234, 241}, {233, 242}, {42, 49}, {37, 57}, {235, 247},
{228, 248}, {39, 58}, {98, 127}, {42, 55}, {14, 16}, {36, 58}, {101, 123}, {13,
18}, {230, 249}, {229, 250}, {14, 17}, {27, 59}, {28, 60}, {25, 59}, {20, 55},
{30, 61}, {29, 62}, {192, 228}, {215, 243}, {212, 240}, {208, 244}, {194, 230},
{193, 229}, {24, 62}, {26, 61}, {214, 241}, {213, 242}, {210, 245}, {209, 246},
{27, 49}, {19, 56}, {23, 60}, {21, 57}, {223, 243}, {220, 240}, {218, 246},
{217, 245}, {216, 244}, {31, 51}, {22, 58}, {30, 48}, {29, 50}, {222, 241},
{221, 242}, {28, 47}, {31, 43}, {219, 239}, {204, 248}, {205, 250}, {206, 249},
{6, 63}, {203, 247}, {211, 239}, {207, 243}, {10, 74}, {172, 236}, {171, 235},
{22, 86}, {148, 212}, {149, 213}, {7, 70}, {26, 91}, {11, 73}, {21, 87}, {11,
72}, {174, 237}, {173, 238}, {25, 90}, {11, 79}, {25, 93}, {24, 92}, {152, 220},
{156, 216}, {6, 67}, {26, 95}, {11, 78}, {147, 214}, {150, 211}, {19, 85}, {7,
64}, {10, 77}, {153, 222}, {154, 221}, {157, 218}, {158, 217}, {9, 65}, {19,
91}, {160, 232}, {163, 235}, {164, 236}, {23, 94}, {8, 66}, {22, 92}, {21, 95},
{22, 93}, {161, 234}, {162, 233}, {165, 238}, {166, 237}, {20, 88}, {151, 219},
{155, 215}, {8, 69}, {20, 89}, {19, 94}, {10, 71}, {9, 68}, {23, 89}, {33, 111},
{31, 81}, {21, 90}, {34, 109}, {144, 223}, {32, 112}, {176, 224}, {36, 116},
{139, 218}, {35, 113}, {181, 231}, {177, 226}, {178, 225}, {38, 114}, {141,
217}, {37, 115}, {142, 216}, {13, 84}, {10, 80}, {179, 233}, {140, 215}, {187,
224}, {13, 81}, {191, 227}, {14, 82}, {14, 83}, {180, 234}, {182, 232}, {189,
226}, {190, 225}, {7, 102}, {183, 214}, {9, 104}, {6, 101}, {188, 223}, {40,
75}, {7, 99}, {186, 222}, {185, 221}, {184, 220}, {180, 208}, {128, 228}, {129,
229}, {130, 230}, {135, 227}, {41, 76}, {30, 120}, {42, 76}, {6, 97}, {182,
209}, {181, 210}, {38, 78}, {131, 235}, {132, 236}, {28, 118}, {185, 211}, {37,
79}, {29, 119}, {9, 98}, {133, 238}, {134, 237}, {8, 100}, {190, 210}, {189,
209}, {188, 208}, {183, 219}, {39, 75}, {136, 228}, {137, 229}, {138, 230},
{184, 213}, {27, 117}, {186, 212}, {35, 77}, {8, 103}, {143, 224}, {175, 223},
{191, 207}, {31, 110}, {34, 83}, {32, 82}, {145, 226}, {146, 225}, {20, 96},
{187, 207}, {170, 222}, {169, 221}, {36, 80}, {168, 220}, {33, 84}, {24, 96},
{159, 231}, {167, 219}, {179, 207}, {48, 176}, {49, 178}, {66, 199}, {55, 176},
{43, 163}, {64, 200}, {45, 165}, {52, 189}, {44, 166}, {56, 178}, {46, 164},
{53, 190}, {65, 202}, {58, 177}, {54, 187}, {51, 188}, {47, 191}, {123, 232},
{60, 168}, {62, 170}, {61, 169}, {57, 175}, {125, 234}, {126, 233}, {52, 172},
{54, 173}, {124, 231}, {59, 167}, {127, 227}, {50, 175}, {51, 174}, {47, 177},
{63, 161}, {53, 171}, {63, 151}, {17, 187}, {16, 188}, {18, 189}, {15, 191},
{15, 190}, {83, 147}, {88, 152}, {87, 151}, {103, 166}, {113, 176}, {115, 178},
{84, 150}, {102, 164}, {114, 177}, {78, 138}, {73, 140}, {98, 167}, {81, 148},
{74, 143}, {72, 142}, {81, 151}, {79, 137}, {101, 163}, {74, 141}, {82, 149},
{83, 154}, {89, 144}, {77, 135}, {99, 169}, {91, 145}, {82, 153}, {97, 170},
{96, 171}, {71, 139}, {100, 168}, {90, 150}, {84, 152}, {80, 156}, {89, 148},
{104, 165}, {91, 149}, {92, 146}, {85, 154}, {92, 147}, {86, 153}, {67, 147},
{16, 193}, {79, 158}, {69, 148}, {18, 192}, {68, 150}, {17, 194}, {78, 157},
{76, 159}, {70, 149}, {90, 143}, {77, 155}, {113, 167}, {71, 144}, {117, 162},
{118, 161}, {64, 152}, {80, 136}, {73, 145}, {107, 179}, {120, 160}, {69, 156},
{95, 134}, {93, 132}, {108, 181}, {115, 170}, {72, 146}, {121, 163}, {65, 154},
{70, 157}, {66, 153}, {114, 169}, {116, 175}, {116, 168}, {122, 166}, {67, 158},
{94, 131}, {121, 164}, {65, 159}, {106, 180}, {68, 155}, {105, 182}, {122, 165},
{97, 129}, {99, 130}, {64, 162}, {66, 160}, {85, 182}, {86, 181}, {87, 179},
{100, 128}, {105, 141}, {96, 133}, {107, 142}, {111, 138}, {120, 157}, {106,
140}, {108, 139}, {109, 138}, {110, 137}, {111, 136}, {105, 129}, {119, 159},
{45, 196}, {100, 141}, {98, 139}, {75, 162}, {109, 132}, {110, 135}, {111, 134},
{119, 158}, {75, 161}, {101, 143}, {109, 135}, {118, 156}, {4, 239}, {46, 197},
{107, 128}, {110, 133}, {76, 160}, {88, 180}, {43, 198}, {99, 142}, {97, 140},
{108, 130}, {117, 155}, {44, 195}, {2, 242}, {94, 174}, {93, 173}, {73, 185},
{50, 194}, {5, 245}, {3, 243}, {48, 193}, {70, 183}, {49, 192}, {113, 128},
{115, 130}, {119, 134}, {3, 241}, {72, 186}, {4, 246}, {118, 132}, {95, 172},
{112, 131}, {114, 129}, {88, 172}, {2, 247}, {5, 240}, {103, 146}, {2, 244},
{63, 201}, {102, 144}, {117, 131}, {85, 173}, {86, 174}, {112, 136}, {104, 145},
{112, 137}, {60, 198}, {62, 196}, {3, 248}, {67, 184}, {5, 249}, {87, 171}, {69,
185}, {74, 183}, {120, 133}, {4, 250}, {68, 186}, {61, 195}, {59, 197}, {71,
184} }>;
(II) A more general form is to represent the graph as the orbit of {122, 123}
under the group generated by the following permutations:
a: (2, 4, 3, 5)(6, 8, 7, 9)(10, 11)(13, 14)(15, 16, 18, 17)(19, 21, 22, 20)(23,
26, 25, 24)(27, 29, 28, 30)(31, 32, 33, 34)(35, 37, 36, 38)(39, 42, 40, 41)(43,
44, 46, 45)(47, 48, 49, 50)(51, 52, 54, 53)(55, 56, 57, 58)(59, 62, 60, 61)(63,
66, 64, 65)(67, 69, 70, 68)(71, 73, 74, 72)(75, 76)(77, 79, 80, 78)(81, 82, 84,
83)(85, 87, 86, 88)(89, 91, 90, 92)(93, 96, 94, 95)(97, 100, 99, 98)(101, 103,
102, 104)(105, 107, 108, 106)(109, 110, 112, 111)(113, 115, 116, 114)(117, 119,
118, 120)(121, 122)(123, 126, 124, 125)(127, 129, 128, 130)(131, 134, 132,
133)(135, 137, 136, 138)(139, 140, 141, 142)(143, 146, 144, 145)(147, 148, 149,
150)(151, 153, 152, 154)(155, 158, 156, 157)(159, 161, 160, 162)(163, 166, 164,
165)(167, 170, 168, 169)(171, 174, 172, 173)(175, 177, 176, 178)(179, 181, 180,
182)(183, 186, 184, 185)(187, 190, 188, 189)(191, 193, 192, 194)(195, 197, 196,
198)(199, 200, 202, 201)(203, 205, 204, 206)(207, 210, 208, 209)(211, 214, 212,
213)(215, 217, 216, 218)(219, 222, 220, 221)(223, 226, 224, 225)(227, 229, 228,
230)(231, 234, 232, 233)(235, 237, 236, 238)(239, 241, 240, 242)(243, 245, 244,
246)(247, 250, 248, 249) (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: (1, 6)(2, 101)(3, 63)(4, 97)(5, 67)(7, 8)(10, 197)(11, 181)(12, 52)(13,
175)(14, 133)(15, 57)(16, 110)(17, 96)(18, 50)(19, 42)(20, 23)(21, 191)(22,
138)(24, 194)(25, 135)(26, 41)(27, 35)(28, 172)(29, 189)(30, 32)(31, 188)(33,
36)(34, 173)(37, 190)(38, 174)(39, 136)(40, 192)(43, 208)(44, 61)(45, 85)(46,
80)(47, 95)(48, 112)(49, 56)(53, 54)(55, 94)(58, 111)(59, 77)(60, 88)(62,
209)(64, 100)(65, 104)(66, 70)(68, 98)(69, 102)(71, 212)(72, 108)(73, 231)(74,
203)(75, 228)(76, 91)(78, 86)(79, 210)(81, 223)(82, 120)(83, 238)(84, 116)(87,
207)(90, 227)(92, 230)(93, 109)(99, 103)(105, 205)(106, 211)(107, 233)(113,
117)(114, 237)(115, 225)(118, 236)(119, 226)(121, 216)(122, 221)(123, 242)(124,
185)(125, 202)(126, 142)(127, 150)(128, 162)(129, 250)(130, 146)(131, 176)(134,
177)(137, 193)(139, 186)(140, 239)(141, 200)(143, 247)(144, 148)(145, 159)(147,
249)(149, 160)(151, 243)(152, 168)(153, 157)(154, 165)(155, 167)(156, 164)(158,
245)(161, 248)(163, 244)(166, 169)(170, 246)(171, 187)(180, 198)(182, 196)(183,
199)(184, 240)(201, 241)(204, 234)(206, 214)(213, 232)(215, 219)(218, 222)(224,
235)
c: (1, 19, 124, 30)(2, 94, 102, 48)(3, 56, 106, 12)(4, 91, 231, 61)(5, 85, 122,
120)(6, 24, 186, 37)(7, 193, 242, 174)(8, 138, 141, 34)(9, 41, 201, 189)(10, 36,
156, 136)(11, 158, 147, 146)(13, 150, 21, 151)(14, 126, 38, 200)(15, 211, 95,
219)(16, 233, 51, 64)(17, 121, 55, 203)(18, 68, 57, 63)(20, 197, 187, 163)(22,
142, 137, 184)(23, 164, 176, 247)(25, 179, 31, 152)(26, 239)(27, 243, 40,
180)(28, 248, 35, 127)(29, 241, 178, 140)(32, 139, 177, 202)(33, 143, 171,
148)(39, 244, 131, 144)(42, 199, 194, 125)(43, 88, 59, 207)(44, 218, 226,
65)(45, 66, 230, 105)(46, 224, 235, 89)(47, 204, 52, 98)(49, 215, 50, 234)(53,
69, 111, 74)(54, 101, 96, 212)(58, 216, 112, 71)(60, 236, 113, 227)(62, 222,
115, 97)(67, 92, 72, 79)(70, 210, 221, 237)(73, 119, 214, 225)(75, 208, 117,
223)(76, 206, 209, 104)(77, 116, 118, 228)(78, 217, 83, 103)(81, 84, 90, 87)(82,
108, 114, 205)(86, 99, 229, 213)(93, 107, 110, 220)(100, 109)(123, 133, 240,
173)(128, 135, 168, 132)(129, 196, 153, 130)(134, 183, 190, 185)(145, 159, 195,
246)(149, 181, 169, 250)(154, 166, 157, 245)(155, 175, 161, 192)(160, 249, 182,
165)(162, 188)(167, 191, 198, 172)(232, 238)
d: (2, 3)(4, 5)(6, 7)(8, 9)(15, 18)(16, 17)(19, 22)(20, 21)(23, 25)(24, 26)(27,
28)(29, 30)(31, 33)(32, 34)(35, 36)(37, 38)(39, 40)(41, 42)(43, 46)(44, 45)(47,
49)(48, 50)(51, 54)(52, 53)(55, 57)(56, 58)(59, 60)(61, 62)(63, 64)(65, 66)(67,
70)(68, 69)(71, 74)(72, 73)(77, 80)(78, 79)(81, 84)(82, 83)(85, 86)(87, 88)(89,
90)(91, 92)(93, 94)(95, 96)(97, 99)(98, 100)(101, 102)(103, 104)(105, 108)(106,
107)(109, 112)(110, 111)(113, 116)(114, 115)(117, 118)(119, 120)(123, 124)(125,
126)(127, 128)(129, 130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 141)(140,
142)(143, 144)(145, 146)(147, 149)(148, 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, 202)(200, 201)(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, 236)(237,
238)(239, 240)(241, 242)(243, 244)(245, 246)(247, 248)(249, 250)
e: (1, 10)(2, 71, 3, 74)(4, 80, 5, 77)(6, 179, 7, 180)(8, 197, 9, 198)(11,
13)(12, 76)(15, 78, 18, 79)(16, 83, 17, 82)(19, 174, 22, 173)(20, 170, 21,
169)(23, 153, 25, 154)(24, 37, 26, 38)(27, 159, 28, 160)(29, 41, 30, 42)(31,
146, 33, 145)(32, 193, 34, 194)(35, 250, 36, 249)(39, 165, 40, 166)(43, 103, 46,
104)(44, 48, 45, 50)(47, 120, 49, 119)(51, 92, 54, 91)(52, 229, 53, 230)(55, 62,
57, 61)(56, 237, 58, 238)(59, 65, 60, 66)(63, 107, 64, 106)(67, 207, 70,
208)(68, 211, 69, 212)(72, 84, 73, 81)(75, 122)(85, 94, 86, 93)(87, 99, 88,
97)(89, 222, 90, 221)(95, 114, 96, 115)(98, 204, 100, 203)(101, 233, 102,
234)(105, 235, 108, 236)(109, 209, 112, 210)(110, 225, 111, 226)(113, 205, 116,
206)(117, 231, 118, 232)(123, 162, 124, 161)(125, 163, 126, 164)(127, 201, 128,
200)(129, 171, 130, 172)(131, 181, 132, 182)(133, 178, 134, 177)(135, 246, 136,
245)(137, 190, 138, 189)(139, 248, 141, 247)(140, 151, 142, 152)(143, 242, 144,
241)(147, 187, 149, 188)(148, 186, 150, 185)(155, 239, 156, 240)(157, 192, 158,
191)(167, 202, 168, 199)(175, 195, 176, 196)(183, 244, 184, 243)(213, 223, 214,
224)(215, 219, 216, 220)(217, 227, 218, 228)
C4[ 250, 16 ]
250
-1 2 3 4 5
-2 242 1 244 247
-3 1 243 248 241
-4 1 246 239 250
-5 1 245 249 240
-6 67 101 63 97
-7 99 102 70 64
-8 66 100 69 103
-9 68 104 65 98
-10 77 80 71 74
-11 78 79 72 73
-12 27 28 29 30
-13 15 81 18 84
-14 16 82 17 83
-15 13 190 26 191
-16 188 14 25 193
-17 187 23 14 194
-18 13 24 189 192
-19 56 91 94 85
-20 55 88 89 96
-21 57 90 95 87
-22 58 92 93 86
-23 89 60 17 94
-24 92 18 62 96
-25 90 59 16 93
-26 91 15 61 95
-27 12 59 49 117
-28 12 47 60 118
-29 12 50 62 119
-30 12 48 61 120
-31 110 81 51 43
-32 44 112 82 52
-33 111 46 84 54
-34 45 83 53 109
-35 77 56 113 52
-36 58 80 116 53
-37 57 79 115 54
-38 55 78 114 51
-39 46 58 48 75
-40 56 50 75 43
-41 44 57 47 76
-42 55 45 49 76
-43 198 40 31 163
-44 166 41 195 32
-45 165 34 42 196
-46 33 39 164 197
-47 177 191 28 41
-48 176 39 193 30
-49 178 27 192 42
-50 29 40 194 175
-51 188 38 31 174
-52 35 189 172 32
-53 34 36 190 171
-54 33 187 37 173
-55 176 38 20 42
-56 35 178 40 19
-57 37 41 21 175
-58 22 177 36 39
-59 167 25 27 197
-60 198 23 168 28
-61 26 169 30 195
-62 24 170 29 196
-63 201 6 161 151
-64 200 7 162 152
-65 154 202 159 9
-66 199 160 8 153
-67 147 158 6 184
-68 155 150 9 186
-69 156 148 8 185
-70 157 149 7 183
-71 144 139 184 10
-72 11 146 142 186
-73 11 145 140 185
-74 143 183 141 10
-75 39 40 161 162
-76 159 160 41 42
-77 155 35 135 10
-78 11 157 38 138
-79 11 37 158 137
-80 156 36 136 10
-81 13 148 151 31
-82 14 149 32 153
-83 154 34 14 147
-84 33 13 150 152
-85 154 182 19 173
-86 22 181 174 153
-87 179 171 151 21
-88 180 172 20 152
-89 23 144 148 20
-90 143 25 150 21
-91 145 26 149 19
-92 22 24 146 147
-93 22 132 25 173
-94 23 19 174 131
-95 134 26 172 21
-96 133 24 171 20
-97 170 6 129 140
-98 167 127 139 9
-99 169 7 130 142
-100 168 128 8 141
-101 143 123 6 163
-102 144 124 7 164
-103 166 146 126 8
-104 165 145 125 9
-105 125 182 129 141
-106 124 180 127 140
-107 123 179 128 142
-108 126 181 139 130
-109 132 34 135 138
-110 133 135 137 31
-111 33 134 136 138
-112 136 137 32 131
-113 176 35 167 128
-114 177 169 38 129
-115 178 37 170 130
-116 36 168 127 175
-117 155 27 162 131
-118 132 156 28 161
-119 134 158 159 29
-120 133 157 160 30
-121 125 126 163 164
-122 165 166 123 124
-123 122 232 101 107
-124 231 122 102 106
-125 121 234 104 105
-126 121 233 103 108
-127 116 106 227 98
-128 100 113 107 228
-129 114 105 97 229
-130 99 115 108 230
-131 112 235 94 117
-132 93 236 118 109
-133 110 238 96 120
-134 111 237 95 119
-135 77 110 227 109
-136 111 112 80 228
-137 110 79 112 229
-138 78 111 109 230
-139 71 108 218 98
-140 215 73 106 97
-141 100 105 74 217
-142 99 72 216 107
-143 90 101 224 74
-144 89 102 223 71
-145 91 104 226 73
-146 92 103 225 72
-147 67 92 214 83
-148 89 69 212 81
-149 91 70 213 82
-150 68 90 211 84
-151 81 63 87 219
-152 88 220 84 64
-153 66 222 82 86
-154 221 83 85 65
-155 77 68 215 117
-156 69 80 216 118
-157 78 70 218 120
-158 67 79 217 119
-159 231 119 65 76
-160 66 232 76 120
-161 234 63 118 75
-162 233 117 64 75
-163 121 101 235 43
-164 121 46 102 236
-165 45 122 104 238
-166 44 122 103 237
-167 113 59 98 219
-168 220 100 60 116
-169 99 221 114 61
-170 222 115 62 97
-171 235 96 53 87
-172 88 236 95 52
-173 93 238 85 54
-174 94 237 51 86
-175 57 223 50 116
-176 55 113 48 224
-177 47 58 114 226
-178 56 49 115 225
-179 233 107 207 87
-180 88 234 106 208
-181 231 210 86 108
-182 209 232 105 85
-183 70 214 74 219
-184 220 67 213 71
-185 221 211 69 73
-186 68 222 212 72
-187 224 17 207 54
-188 223 16 51 208
-189 209 226 18 52
-190 210 15 225 53
-191 47 15 227 207
-192 49 18 228 208
-193 210 48 16 229
-194 209 17 50 230
-195 44 214 61 206
-196 45 213 62 205
-197 46 212 59 203
-198 211 60 204 43
-199 66 203 215 206
-200 203 205 217 64
-201 204 63 206 218
-202 204 205 216 65
-203 199 200 247 197
-204 198 201 202 248
-205 200 202 250 196
-206 199 201 249 195
-207 187 243 179 191
-208 188 244 180 192
-209 189 246 182 194
-210 190 245 181 193
-211 198 150 239 185
-212 148 240 186 197
-213 242 149 184 196
-214 147 183 195 241
-215 155 199 243 140
-216 156 244 202 142
-217 200 245 158 141
-218 157 201 246 139
-219 167 183 151 239
-220 168 184 152 240
-221 154 242 169 185
-222 170 153 186 241
-223 144 188 243 175
-224 143 176 187 244
-225 178 146 190 246
-226 177 145 189 245
-227 135 191 247 127
-228 136 192 248 128
-229 137 193 129 250
-230 138 194 249 130
-231 124 159 181 239
-232 123 160 182 240
-233 242 179 126 162
-234 125 180 161 241
-235 247 171 163 131
-236 132 248 172 164
-237 166 134 250 174
-238 165 133 249 173
-239 231 211 4 219
-240 220 232 212 5
-241 222 3 234 214
-242 221 2 233 213
-243 3 223 215 207
-244 2 224 216 208
-245 210 5 226 217
-246 209 4 225 218
-247 2 235 203 227
-248 3 236 204 228
-249 5 238 206 230
-250 4 237 205 229
0