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