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