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