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