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