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