Graph forms
for C4 [ 260, 8 ] = PS(20,13;5)
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On this page are computer-accessible forms for the graph C4[ 260, 8 ] =
PS(20,13;5).
(I) Following is a form readable by MAGMA:
g:=Graph<260|{ {13, 14}, {117, 118}, {65, 66}, {169, 170}, {221, 222}, {24, 29},
{234, 239}, {232, 237}, {130, 135}, {128, 133}, {104, 109}, {26, 31}, {48, 53},
{50, 55}, {74, 79}, {152, 157}, {154, 159}, {178, 183}, {208, 213}, {25, 30},
{233, 238}, {129, 134}, {91, 92}, {49, 54}, {153, 158}, {195, 196}, {19, 27},
{231, 239}, {230, 238}, {229, 237}, {228, 236}, {227, 235}, {130, 138}, {129,
137}, {128, 136}, {103, 111}, {102, 110}, {101, 109}, {100, 108}, {99, 107},
{98, 106}, {97, 105}, {20, 28}, {21, 29}, {22, 30}, {23, 31}, {48, 56}, {49,
57}, {50, 58}, {51, 59}, {52, 60}, {71, 79}, {149, 157}, {150, 158}, {151, 159},
{176, 184}, {177, 185}, {178, 186}, {179, 187}, {180, 188}, {181, 189}, {182,
190}, {208, 216}, {23, 28}, {231, 236}, {103, 108}, {51, 56}, {179, 184}, {2,
14}, {243, 255}, {242, 254}, {241, 253}, {240, 252}, {115, 127}, {114, 126},
{113, 125}, {112, 124}, {83, 95}, {82, 94}, {81, 93}, {80, 92}, {3, 15}, {32,
44}, {33, 45}, {34, 46}, {35, 47}, {64, 76}, {65, 77}, {160, 172}, {161, 173},
{162, 174}, {163, 175}, {192, 204}, {193, 205}, {194, 206}, {195, 207}, {210,
222}, {211, 223}, {22, 27}, {230, 235}, {102, 107}, {100, 105}, {52, 57}, {180,
185}, {182, 187}, {1, 15}, {241, 255}, {240, 254}, {113, 127}, {112, 126}, {81,
95}, {80, 94}, {32, 46}, {33, 47}, {64, 78}, {160, 174}, {161, 175}, {192, 206},
{193, 207}, {209, 223}, {39, 40}, {247, 248}, {101, 106}, {181, 186}, {2, 16},
{239, 253}, {238, 252}, {235, 249}, {229, 247}, {228, 246}, {225, 243}, {224,
242}, {131, 145}, {111, 125}, {110, 124}, {107, 121}, {106, 120}, {97, 115},
{96, 114}, {79, 93}, {3, 17}, {6, 20}, {7, 21}, {10, 24}, {11, 25}, {34, 48},
{35, 49}, {38, 52}, {40, 58}, {41, 59}, {44, 62}, {45, 63}, {68, 86}, {69, 87},
{72, 90}, {73, 91}, {134, 148}, {135, 149}, {138, 152}, {139, 153}, {142, 156},
{162, 176}, {163, 177}, {166, 180}, {167, 181}, {172, 190}, {173, 191}, {194,
208}, {196, 214}, {197, 215}, {200, 218}, {201, 219}, {4, 16}, {239, 251}, {238,
250}, {237, 249}, {236, 248}, {132, 144}, {111, 123}, {110, 122}, {109, 121},
{108, 120}, {5, 17}, {6, 18}, {7, 19}, {12, 24}, {13, 25}, {36, 48}, {37, 49},
{38, 50}, {39, 51}, {133, 145}, {134, 146}, {135, 147}, {140, 152}, {141, 153},
{142, 154}, {143, 155}, {164, 176}, {165, 177}, {166, 178}, {167, 179}, {40,
61}, {226, 247}, {224, 245}, {96, 117}, {42, 63}, {66, 87}, {170, 191}, {200,
221}, {4, 18}, {237, 251}, {236, 250}, {227, 245}, {226, 244}, {132, 146}, {109,
123}, {108, 122}, {99, 117}, {98, 116}, {5, 19}, {12, 26}, {36, 50}, {37, 51},
{42, 60}, {43, 61}, {66, 84}, {67, 85}, {133, 147}, {140, 154}, {141, 155},
{164, 178}, {165, 179}, {170, 188}, {171, 189}, {202, 220}, {203, 221}, {41,
62}, {225, 246}, {45, 53}, {234, 242}, {233, 241}, {232, 240}, {104, 112}, {78,
86}, {46, 54}, {47, 55}, {72, 80}, {73, 81}, {74, 82}, {75, 83}, {76, 84}, {77,
85}, {175, 183}, {201, 209}, {202, 210}, {203, 211}, {204, 212}, {205, 213},
{206, 214}, {207, 215}, {1, 26}, {67, 88}, {75, 80}, {199, 220}, {207, 212}, {8,
20}, {107, 119}, {106, 118}, {9, 21}, {10, 22}, {11, 23}, {136, 148}, {137,
149}, {138, 150}, {139, 151}, {168, 180}, {169, 181}, {68, 89}, {70, 91}, {76,
81}, {78, 83}, {196, 217}, {198, 219}, {204, 209}, {206, 211}, {8, 22}, {105,
119}, {9, 23}, {70, 88}, {71, 89}, {136, 150}, {137, 151}, {168, 182}, {198,
216}, {199, 217}, {69, 90}, {131, 156}, {77, 82}, {143, 144}, {197, 218}, {205,
210}, {79, 104}, {15, 36}, {223, 244}, {95, 116}, {157, 182}, {14, 35}, {94,
115}, {92, 113}, {222, 243}, {14, 32}, {95, 113}, {94, 112}, {15, 33}, {222,
240}, {223, 241}, {27, 52}, {93, 114}, {16, 34}, {93, 111}, {92, 110}, {90,
104}, {87, 101}, {86, 100}, {83, 97}, {82, 96}, {17, 35}, {20, 38}, {21, 39},
{27, 41}, {30, 44}, {31, 45}, {144, 162}, {145, 163}, {148, 166}, {149, 167},
{158, 172}, {159, 173}, {210, 224}, {211, 225}, {214, 228}, {215, 229}, {218,
232}, {219, 233}, {28, 40}, {87, 99}, {86, 98}, {85, 97}, {84, 96}, {29, 41},
{30, 42}, {31, 43}, {158, 170}, {159, 171}, {212, 224}, {213, 225}, {214, 226},
{215, 227}, {220, 232}, {221, 233}, {16, 37}, {18, 39}, {144, 165}, {146, 167},
{18, 36}, {85, 99}, {84, 98}, {19, 37}, {28, 42}, {29, 43}, {146, 164}, {147,
165}, {157, 171}, {212, 226}, {213, 227}, {220, 234}, {17, 38}, {145, 166}, {24,
32}, {25, 33}, {26, 34}, {152, 160}, {153, 161}, {154, 162}, {155, 163}, {156,
164}, {147, 168}, {155, 160}, {209, 234}, {88, 100}, {91, 103}, {90, 102}, {89,
101}, {216, 228}, {217, 229}, {218, 230}, {219, 231}, {148, 169}, {156, 161},
{88, 102}, {89, 103}, {150, 168}, {151, 169}, {216, 230}, {217, 231}, {183,
208}, {43, 64}, {171, 192}, {44, 65}, {172, 193}, {174, 195}, {46, 64}, {47,
65}, {174, 192}, {175, 193}, {173, 194}, {54, 68}, {55, 69}, {58, 72}, {59, 73},
{62, 76}, {63, 77}, {176, 194}, {177, 195}, {183, 197}, {186, 200}, {187, 201},
{190, 204}, {191, 205}, {54, 66}, {55, 67}, {60, 72}, {61, 73}, {62, 74}, {63,
75}, {188, 200}, {189, 201}, {190, 202}, {191, 203}, {53, 67}, {60, 74}, {61,
75}, {188, 202}, {189, 203}, {53, 78}, {56, 68}, {57, 69}, {58, 70}, {59, 71},
{184, 196}, {185, 197}, {186, 198}, {187, 199}, {56, 70}, {57, 71}, {184, 198},
{185, 199}, {105, 130}, {9, 248}, {11, 250}, {13, 252}, {8, 250}, {125, 143},
{124, 142}, {121, 139}, {120, 138}, {115, 129}, {114, 128}, {9, 251}, {12, 254},
{13, 255}, {10, 249}, {116, 128}, {117, 129}, {120, 141}, {122, 143}, {10, 252},
{123, 141}, {122, 140}, {116, 130}, {11, 253}, {12, 251}, {121, 142}, {123,
131}, {127, 135}, {126, 134}, {125, 133}, {124, 132}, {119, 140}, {127, 132},
{1, 253}, {2, 254}, {3, 255}, {118, 139}, {126, 131}, {6, 248}, {119, 137},
{118, 136}, {7, 249}, {1, 256}, {3, 258}, {5, 260}, {2, 257}, {4, 256}, {5,
257}, {6, 258}, {7, 259}, {4, 259}, {8, 260}, {235, 260}, {242, 256}, {246,
260}, {243, 257}, {244, 256}, {247, 259}, {246, 258}, {245, 257}, {244, 258},
{245, 259} }>;
(II) A more general form is to represent the graph as the orbit of {13, 14}
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, 236, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247)(248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259,
260) (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, 13)(3, 12)(4, 11)(5, 10)(6, 9)(7, 8)(15, 26)(16, 25)(17, 24)(18, 23)(19,
22)(20, 21)(28, 39)(29, 38)(30, 37)(31, 36)(32, 35)(33, 34)(41, 52)(42, 51)(43,
50)(44, 49)(45, 48)(46, 47)(54, 65)(55, 64)(56, 63)(57, 62)(58, 61)(59, 60)(67,
78)(68, 77)(69, 76)(70, 75)(71, 74)(72, 73)(80, 91)(81, 90)(82, 89)(83, 88)(84,
87)(85, 86)(93, 104)(94, 103)(95, 102)(96, 101)(97, 100)(98, 99)(106, 117)(107,
116)(108, 115)(109, 114)(110, 113)(111, 112)(119, 130)(120, 129)(121, 128)(122,
127)(123, 126)(124, 125)(132, 143)(133, 142)(134, 141)(135, 140)(136, 139)(137,
138)(145, 156)(146, 155)(147, 154)(148, 153)(149, 152)(150, 151)(158, 169)(159,
168)(160, 167)(161, 166)(162, 165)(163, 164)(171, 182)(172, 181)(173, 180)(174,
179)(175, 178)(176, 177)(184, 195)(185, 194)(186, 193)(187, 192)(188, 191)(189,
190)(197, 208)(198, 207)(199, 206)(200, 205)(201, 204)(202, 203)(210, 221)(211,
220)(212, 219)(213, 218)(214, 217)(215, 216)(223, 234)(224, 233)(225, 232)(226,
231)(227, 230)(228, 229)(236, 247)(237, 246)(238, 245)(239, 244)(240, 243)(241,
242)(249, 260)(250, 259)(251, 258)(252, 257)(253, 256)(254, 255)
c: (1, 14, 27, 40, 53, 66, 79, 92, 105, 118, 131, 144, 157, 170, 183, 196, 209,
222, 235, 248)(2, 19, 39, 48, 54, 71, 91, 100, 106, 123, 143, 152, 158, 175,
195, 204, 210, 227, 247, 256)(3, 24, 38, 43, 55, 76, 90, 95, 107, 128, 142, 147,
159, 180, 194, 199, 211, 232, 246, 251)(4, 16, 37, 51, 56, 68, 89, 103, 108,
120, 141, 155, 160, 172, 193, 207, 212, 224, 245, 259)(5, 21, 36, 46, 57, 73,
88, 98, 109, 125, 140, 150, 161, 177, 192, 202, 213, 229, 244, 254)(6, 26, 35,
41, 58, 78, 87, 93, 110, 130, 139, 145, 162, 182, 191, 197, 214, 234, 243,
249)(7, 18, 34, 49, 59, 70, 86, 101, 111, 122, 138, 153, 163, 174, 190, 205,
215, 226, 242, 257)(8, 23, 33, 44, 60, 75, 85, 96, 112, 127, 137, 148, 164, 179,
189, 200, 216, 231, 241, 252)(9, 15, 32, 52, 61, 67, 84, 104, 113, 119, 136,
156, 165, 171, 188, 208, 217, 223, 240, 260)(10, 20, 31, 47, 62, 72, 83, 99,
114, 124, 135, 151, 166, 176, 187, 203, 218, 228, 239, 255)(11, 25, 30, 42, 63,
77, 82, 94, 115, 129, 134, 146, 167, 181, 186, 198, 219, 233, 238, 250)(12, 17,
29, 50, 64, 69, 81, 102, 116, 121, 133, 154, 168, 173, 185, 206, 220, 225, 237,
258)(13, 22, 28, 45, 65, 74, 80, 97, 117, 126, 132, 149, 169, 178, 184, 201,
221, 230, 236, 253)
d: (2, 6, 13, 9)(3, 11, 12, 4)(5, 8, 10, 7)(14, 248)(15, 253, 26, 256)(16, 258,
25, 251)(17, 250, 24, 259)(18, 255, 23, 254)(19, 260, 22, 249)(20, 252, 21,
257)(27, 235)(28, 240, 39, 243)(29, 245, 38, 238)(30, 237, 37, 246)(31, 242, 36,
241)(32, 247, 35, 236)(33, 239, 34, 244)(40, 222)(41, 227, 52, 230)(42, 232, 51,
225)(43, 224, 50, 233)(44, 229, 49, 228)(45, 234, 48, 223)(46, 226, 47, 231)(53,
209)(54, 214, 65, 217)(55, 219, 64, 212)(56, 211, 63, 220)(57, 216, 62, 215)(58,
221, 61, 210)(59, 213, 60, 218)(66, 196)(67, 201, 78, 204)(68, 206, 77, 199)(69,
198, 76, 207)(70, 203, 75, 202)(71, 208, 74, 197)(72, 200, 73, 205)(79, 183)(80,
188, 91, 191)(81, 193, 90, 186)(82, 185, 89, 194)(83, 190, 88, 189)(84, 195, 87,
184)(85, 187, 86, 192)(92, 170)(93, 175, 104, 178)(94, 180, 103, 173)(95, 172,
102, 181)(96, 177, 101, 176)(97, 182, 100, 171)(98, 174, 99, 179)(105, 157)(106,
162, 117, 165)(107, 167, 116, 160)(108, 159, 115, 168)(109, 164, 114, 163)(110,
169, 113, 158)(111, 161, 112, 166)(118, 144)(119, 149, 130, 152)(120, 154, 129,
147)(121, 146, 128, 155)(122, 151, 127, 150)(123, 156, 126, 145)(124, 148, 125,
153)(132, 136, 143, 139)(133, 141, 142, 134)(135, 138, 140, 137)
C4[ 260, 8 ]
260
-1 253 256 15 26
-2 254 14 257 16
-3 255 15 258 17
-4 256 16 259 18
-5 257 17 260 19
-6 258 248 18 20
-7 259 249 19 21
-8 22 260 250 20
-9 23 248 251 21
-10 22 24 249 252
-11 253 23 25 250
-12 254 24 26 251
-13 255 14 25 252
-14 2 13 35 32
-15 33 1 3 36
-16 34 2 4 37
-17 35 3 5 38
-18 36 4 6 39
-19 37 5 27 7
-20 38 6 28 8
-21 39 7 29 9
-22 27 8 30 10
-23 11 28 9 31
-24 12 29 10 32
-25 11 33 13 30
-26 1 12 34 31
-27 22 19 41 52
-28 23 40 20 42
-29 24 41 21 43
-30 22 44 25 42
-31 23 45 26 43
-32 44 24 46 14
-33 45 25 47 15
-34 46 26 48 16
-35 14 47 49 17
-36 15 48 50 18
-37 16 49 51 19
-38 17 50 52 20
-39 18 40 51 21
-40 58 28 39 61
-41 59 27 29 62
-42 60 28 30 63
-43 61 29 31 64
-44 62 30 32 65
-45 33 63 31 53
-46 34 64 32 54
-47 33 55 35 65
-48 34 56 36 53
-49 35 57 37 54
-50 55 36 58 38
-51 56 37 59 39
-52 57 27 38 60
-53 45 67 78 48
-54 66 46 68 49
-55 67 47 69 50
-56 68 48 70 51
-57 69 49 71 52
-58 70 50 72 40
-59 71 51 73 41
-60 72 52 74 42
-61 40 73 75 43
-62 44 41 74 76
-63 77 45 42 75
-64 78 46 43 76
-65 44 66 77 47
-66 84 54 65 87
-67 55 88 85 53
-68 56 89 86 54
-69 55 57 90 87
-70 88 56 58 91
-71 89 57 79 59
-72 90 58 80 60
-73 91 59 81 61
-74 79 60 82 62
-75 80 61 83 63
-76 81 62 84 64
-77 82 63 85 65
-78 83 53 64 86
-79 71 93 104 74
-80 92 72 94 75
-81 93 73 95 76
-82 77 94 74 96
-83 78 95 75 97
-84 66 96 76 98
-85 77 99 67 97
-86 78 100 68 98
-87 66 99 101 69
-88 67 100 102 70
-89 68 101 103 71
-90 69 102 104 72
-91 70 92 103 73
-92 110 80 91 113
-93 111 79 81 114
-94 112 80 82 115
-95 113 81 83 116
-96 114 82 84 117
-97 115 83 105 85
-98 116 84 106 86
-99 117 85 107 87
-100 88 105 86 108
-101 89 106 87 109
-102 88 110 90 107
-103 89 111 91 108
-104 79 90 112 109
-105 100 97 119 130
-106 101 118 98 120
-107 99 121 102 119
-108 100 122 103 120
-109 121 101 123 104
-110 122 102 124 92
-111 123 103 125 93
-112 124 104 126 94
-113 92 125 127 95
-114 93 126 128 96
-115 94 127 129 97
-116 95 128 130 98
-117 99 96 118 129
-118 136 106 117 139
-119 137 105 107 140
-120 138 106 108 141
-121 139 107 109 142
-122 110 143 140 108
-123 111 141 109 131
-124 110 132 112 142
-125 143 111 133 113
-126 112 134 114 131
-127 132 113 135 115
-128 133 114 136 116
-129 134 115 137 117
-130 135 105 116 138
-131 123 145 156 126
-132 144 124 146 127
-133 145 125 147 128
-134 146 126 148 129
-135 147 127 149 130
-136 148 128 150 118
-137 149 129 151 119
-138 150 130 152 120
-139 121 118 151 153
-140 154 122 119 152
-141 155 123 120 153
-142 121 154 156 124
-143 122 144 155 125
-144 132 143 165 162
-145 133 166 163 131
-146 132 134 167 164
-147 165 133 135 168
-148 166 134 136 169
-149 167 135 157 137
-150 168 136 158 138
-151 169 137 159 139
-152 157 138 160 140
-153 158 139 161 141
-154 159 140 162 142
-155 143 160 141 163
-156 161 131 142 164
-157 149 171 182 152
-158 170 150 172 153
-159 154 171 151 173
-160 155 172 152 174
-161 156 173 153 175
-162 154 176 144 174
-163 155 177 145 175
-164 176 156 178 146
-165 144 177 179 147
-166 145 178 180 148
-167 146 179 181 149
-168 147 180 182 150
-169 148 170 181 151
-170 188 158 169 191
-171 189 157 159 192
-172 190 158 160 193
-173 191 159 161 194
-174 192 160 162 195
-175 193 161 183 163
-176 194 162 184 164
-177 165 195 163 185
-178 166 183 164 186
-179 165 187 167 184
-180 166 188 168 185
-181 167 189 169 186
-182 187 157 168 190
-183 178 175 197 208
-184 176 198 179 196
-185 177 199 180 197
-186 198 178 200 181
-187 199 179 201 182
-188 200 180 202 170
-189 201 181 203 171
-190 202 182 204 172
-191 170 203 205 173
-192 171 204 206 174
-193 172 205 207 175
-194 176 173 206 208
-195 177 174 196 207
-196 214 184 195 217
-197 215 183 185 218
-198 216 184 186 219
-199 187 220 217 185
-200 188 221 218 186
-201 187 209 189 219
-202 220 188 210 190
-203 221 189 211 191
-204 209 190 212 192
-205 210 191 213 193
-206 211 192 214 194
-207 212 193 215 195
-208 213 183 194 216
-209 201 223 234 204
-210 222 202 224 205
-211 223 203 225 206
-212 224 204 226 207
-213 225 205 227 208
-214 226 206 228 196
-215 227 207 229 197
-216 198 228 208 230
-217 231 199 196 229
-218 232 200 197 230
-219 198 231 233 201
-220 199 232 234 202
-221 200 222 233 203
-222 210 221 243 240
-223 209 211 244 241
-224 242 210 212 245
-225 243 211 213 246
-226 244 212 214 247
-227 245 213 235 215
-228 246 214 236 216
-229 247 215 237 217
-230 235 216 238 218
-231 236 217 239 219
-232 220 237 218 240
-233 221 238 219 241
-234 209 220 242 239
-235 227 249 260 230
-236 231 248 228 250
-237 232 249 229 251
-238 233 250 230 252
-239 231 253 234 251
-240 232 254 222 252
-241 253 233 255 223
-242 254 234 256 224
-243 222 255 257 225
-244 223 256 258 226
-245 224 257 259 227
-246 225 258 260 228
-247 226 248 259 229
-248 236 247 6 9
-249 235 237 7 10
-250 11 236 238 8
-251 12 237 239 9
-252 13 238 240 10
-253 11 1 239 241
-254 242 12 2 240
-255 243 13 3 241
-256 242 1 244 4
-257 243 2 245 5
-258 244 3 246 6
-259 245 4 247 7
-260 235 246 5 8
0