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