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