Graph forms
for C4 [ 220, 18 ] = BGCG(MSY(5,22,5,11);K1;{2,3})
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On this page are computer-accessible forms for the graph C4[ 220, 18 ] =
BGCG(MSY(5,22,5,11);K1;{2,3}).
(I) Following is a form readable by MAGMA:
g:=Graph<220|{ {104, 122}, {106, 120}, {105, 122}, {97, 121}, {101, 125}, {81,
117}, {85, 115}, {83, 116}, {81, 120}, {86, 127}, {92, 113}, {76, 125}, {77,
124}, {78, 124}, {67, 119}, {75, 127}, {66, 119}, {74, 127}, {76, 121}, {74,
124}, {78, 118}, {75, 112}, {65, 125}, {77, 113}, {64, 125}, {69, 120}, {70,
120}, {52, 112}, {56, 113}, {56, 117}, {58, 119}, {62, 115}, {48, 126}, {49,
126}, {61, 114}, {47, 123}, {37, 112}, {46, 123}, {36, 114}, {45, 117}, {44,
117}, {54, 111}, {53, 111}, {47, 115}, {38, 123}, {16, 112}, {25, 121}, {23,
119}, {29, 124}, {16, 116}, {17, 116}, {31, 122}, {25, 126}, {26, 115}, {20,
126}, {24, 114}, {25, 114}, {30, 111}, {5, 113}, {3, 118}, {25, 111}, {3, 123},
{12, 118}, {2, 121}, {6, 122}, {8, 116}, {11, 118}, {1, 127}, {8, 136}, {90,
218}, {44, 172}, {68, 196}, {71, 199}, {77, 204}, {18, 144}, {86, 212}, {1,
130}, {89, 218}, {87, 212}, {47, 172}, {23, 148}, {72, 203}, {80, 211}, {11,
143}, {48, 180}, {21, 145}, {42, 175}, {58, 188}, {34, 165}, {86, 209}, {52,
179}, {80, 216}, {91, 211}, {40, 161}, {64, 201}, {1, 139}, {86, 220}, {19,
153}, {61, 183}, {71, 205}, {18, 153}, {50, 185}, {41, 162}, {59, 176}, {24,
148}, {91, 215}, {56, 180}, {45, 161}, {21, 152}, {85, 216}, {57, 180}, {76,
193}, {15, 129}, {94, 208}, {36, 170}, {62, 176}, {14, 129}, {84, 219}, {37,
170}, {63, 176}, {72, 199}, {20, 132}, {43, 187}, {59, 171}, {4, 149}, {92,
205}, {91, 202}, {87, 198}, {27, 138}, {26, 139}, {9, 152}, {10, 152}, {84,
198}, {24, 138}, {5, 150}, {30, 141}, {81, 194}, {22, 130}, {95, 203}, {45,
185}, {38, 178}, {65, 213}, {39, 178}, {51, 166}, {71, 210}, {28, 138}, {92,
202}, {57, 175}, {49, 167}, {32, 182}, {19, 132}, {44, 187}, {41, 190}, {6,
158}, {7, 158}, {47, 182}, {83, 202}, {78, 212}, {26, 129}, {31, 132}, {10,
150}, {48, 172}, {15, 147}, {79, 211}, {32, 189}, {24, 134}, {88, 198}, {3,
163}, {99, 195}, {55, 151}, {53, 149}, {13, 173}, {9, 169}, {52, 149}, {31,
189}, {18, 177}, {103, 196}, {43, 136}, {13, 169}, {109, 201}, {103, 195}, {102,
194}, {49, 149}, {17, 181}, {5, 160}, {106, 207}, {102, 195}, {53, 144}, {13,
168}, {12, 169}, {63, 154}, {8, 174}, {107, 205}, {99, 197}, {38, 128}, {33,
135}, {14, 168}, {4, 163}, {37, 130}, {18, 181}, {9, 174}, {53, 157}, {104,
192}, {100, 204}, {19, 186}, {44, 133}, {23, 189}, {27, 177}, {26, 177}, {60,
151}, {31, 179}, {55, 155}, {54, 155}, {61, 144}, {16, 190}, {96, 206}, {35,
141}, {62, 144}, {20, 187}, {60, 140}, {46, 159}, {40, 154}, {96, 210}, {51,
129}, {46, 156}, {33, 146}, {15, 187}, {108, 216}, {34, 150}, {109, 216}, {28,
170}, {46, 152}, {59, 141}, {8, 191}, {33, 150}, {58, 141}, {7, 191}, {110,
214}, {42, 146}, {21, 173}, {10, 178}, {13, 180}, {55, 142}, {35, 154}, {4,
190}, {107, 209}, {21, 175}, {4, 191}, {109, 214}, {51, 136}, {41, 146}, {22,
173}, {14, 181}, {5, 190}, {28, 160}, {101, 217}, {56, 132}, {52, 136}, {50,
142}, {30, 162}, {63, 131}, {10, 183}, {29, 160}, {15, 178}, {11, 182}, {14,
176}, {34, 156}, {60, 130}, {29, 162}, {101, 218}, {35, 156}, {78, 142}, {107,
171}, {91, 155}, {9, 200}, {109, 172}, {79, 142}, {27, 217}, {75, 137}, {68,
135}, {104, 171}, {69, 134}, {84, 151}, {83, 151}, {87, 147}, {1, 196}, {98,
167}, {88, 157}, {7, 194}, {2, 196}, {98, 164}, {97, 167}, {17, 215}, {99, 164},
{108, 171}, {19, 219}, {110, 166}, {7, 206}, {73, 128}, {3, 201}, {16, 218},
{77, 135}, {2, 201}, {76, 135}, {23, 219}, {100, 168}, {22, 219}, {103, 170},
{29, 208}, {65, 140}, {82, 159}, {27, 213}, {110, 160}, {95, 145}, {72, 134},
{73, 134}, {94, 145}, {66, 147}, {81, 128}, {82, 128}, {6, 213}, {89, 138}, {88,
140}, {2, 215}, {89, 140}, {12, 217}, {6, 211}, {97, 183}, {73, 158}, {22, 206},
{93, 133}, {20, 205}, {101, 188}, {92, 133}, {66, 155}, {80, 137}, {64, 154},
{102, 188}, {85, 143}, {28, 199}, {71, 156}, {84, 143}, {30, 194}, {89, 133},
{67, 159}, {11, 214}, {12, 209}, {17, 207}, {98, 189}, {37, 197}, {66, 162},
{39, 198}, {104, 137}, {98, 131}, {93, 188}, {61, 220}, {70, 164}, {38, 197},
{45, 206}, {74, 169}, {69, 161}, {41, 204}, {93, 184}, {68, 161}, {82, 183},
{39, 193}, {94, 184}, {34, 197}, {39, 192}, {99, 139}, {107, 131}, {40, 193},
{106, 131}, {90, 179}, {59, 210}, {42, 192}, {79, 165}, {43, 192}, {50, 217},
{93, 177}, {49, 220}, {50, 220}, {103, 137}, {60, 210}, {72, 166}, {32, 207},
{100, 139}, {96, 143}, {36, 203}, {75, 164}, {32, 208}, {105, 153}, {67, 179},
{70, 182}, {73, 185}, {33, 208}, {95, 174}, {87, 166}, {57, 200}, {35, 209},
{108, 158}, {51, 193}, {36, 214}, {57, 203}, {58, 200}, {62, 204}, {74, 185},
{90, 174}, {54, 195}, {102, 147}, {88, 173}, {83, 165}, {105, 159}, {85, 163},
{82, 165}, {95, 168}, {55, 207}, {63, 199}, {65, 184}, {94, 167}, {90, 163},
{67, 186}, {48, 202}, {110, 148}, {64, 186}, {69, 191}, {79, 181}, {106, 145},
{97, 157}, {96, 157}, {105, 148}, {100, 153}, {54, 200}, {108, 146}, {68, 186},
{70, 184}, {40, 215}, {43, 212}, {42, 213}, {80, 175} }>;
(II) A more general form is to represent the graph as the orbit of {104, 122}
under the group generated by the following permutations:
a: (1, 2, 17, 18, 53, 52, 67, 66, 15, 10, 5, 56, 57, 72, 73, 108, 107, 12, 11,
70, 65, 60)(3, 32, 93, 88, 37, 68, 91, 14, 61, 4, 31, 58, 87, 38, 33, 92, 13,
36, 69, 6, 59, 86)(7, 104, 35, 78, 47, 94, 89, 22, 103, 40, 79, 62, 49, 90, 23,
102, 39, 34, 77, 48, 95, 24)(8, 105, 30, 43, 46, 29, 44, 21, 28, 45, 80, 63, 50,
85, 98, 101, 84, 99, 76, 83, 100, 25)(9, 110, 81, 42, 71, 74, 109, 106, 27, 96,
75, 64, 55, 26, 97, 16, 19, 54, 51, 82, 41, 20)(111, 136, 159, 162, 187, 152,
160, 117, 175, 199, 185, 216, 131, 217, 143, 164, 125, 151, 139, 121, 116,
153)(112, 186, 155, 129, 183, 190, 132, 200, 166, 128, 146, 205, 169, 214, 120,
213, 210, 127, 201, 207, 177, 157)(113, 180, 203, 134, 158, 171, 209, 118, 182,
184, 140, 130, 196, 215, 181, 144, 149, 179, 119, 147, 178, 150)(114, 191, 122,
141, 212, 123, 208, 133, 173, 170, 161, 211, 176, 220, 163, 189, 188, 198, 197,
135, 202, 168)(115, 167, 218, 219, 195, 193, 165, 204, 126, 174, 148, 194, 192,
156, 124, 172, 145, 138, 206, 137, 154, 142) (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, 26, 86)(3, 51, 61)(4, 110, 10)(6, 58, 106)(7, 23, 21)(8, 24, 46)(9, 69,
105)(11, 39, 53)(12, 40, 18)(13, 45, 19)(14, 50, 64)(15, 49, 109)(16, 28,
34)(17, 27, 35)(20, 48, 44)(25, 47, 43)(29, 33, 41)(30, 32, 42)(31, 57, 81)(36,
38, 52)(54, 70, 104)(55, 65, 59)(62, 78, 76)(63, 79, 101)(66, 94, 108)(67, 95,
73)(68, 100, 74)(71, 83, 89)(72, 82, 90)(75, 103, 99)(80, 102, 98)(84, 88,
96)(85, 87, 97)(91, 93, 107)(111, 182, 192)(112, 170, 197)(114, 123, 136)(115,
212, 121)(116, 138, 156)(117, 132, 180)(118, 193, 144)(119, 145, 158)(120, 122,
200)(124, 135, 204)(125, 176, 142)(126, 172, 187)(127, 196, 139)(128, 179,
203)(129, 220, 201)(131, 211, 188)(133, 205, 202)(134, 159, 174)(137, 195,
164)(140, 210, 151)(141, 207, 213)(143, 198, 157)(146, 162, 208)(147, 167,
216)(148, 152, 191)(149, 214, 178)(150, 190, 160)(153, 169, 161)(154, 181,
217)(155, 184, 171)(163, 166, 183)(165, 218, 199)(168, 185, 186)(173, 206,
219)(175, 194, 189)(177, 209, 215)
c: (2, 86, 60)(3, 87, 65)(4, 72, 6)(5, 57, 31)(7, 69, 73)(8, 24, 108)(9, 23,
33)(10, 58, 32)(11, 39, 101)(12, 84, 76)(13, 19, 77)(14, 18, 62)(15, 93, 47)(16,
36, 104)(17, 61, 59)(20, 92, 48)(21, 67, 29)(22, 68, 74)(25, 107, 83)(27, 85,
51)(28, 80, 52)(30, 106, 82)(34, 54, 98)(35, 55, 97)(37, 103, 75)(38, 102,
70)(40, 50, 96)(41, 95, 105)(42, 90, 110)(43, 89, 109)(46, 66, 94)(49, 71,
91)(53, 63, 79)(64, 78, 88)(111, 131, 165)(112, 170, 137)(113, 180, 132)(114,
171, 116)(115, 129, 177)(118, 198, 125)(119, 208, 152)(120, 128, 194)(121, 209,
151)(122, 190, 203)(123, 147, 184)(124, 173, 186)(126, 205, 202)(127, 130,
196)(133, 172, 187)(134, 158, 191)(135, 169, 219)(136, 138, 216)(140, 201,
212)(141, 207, 183)(142, 157, 154)(143, 193, 217)(144, 176, 181)(145, 159,
162)(146, 174, 148)(149, 199, 211)(150, 200, 189)(153, 204, 168)(155, 167,
156)(160, 175, 179)(161, 185, 206)(163, 166, 213)(164, 197, 195)(178, 188,
182)(192, 218, 214)(210, 215, 220)
C4[ 220, 18 ]
220
-1 127 139 130 196
-2 121 201 215 196
-3 123 201 118 163
-4 190 191 149 163
-5 113 190 160 150
-6 122 211 158 213
-7 158 191 194 206
-8 136 191 116 174
-9 200 169 152 174
-10 178 150 183 152
-11 143 214 182 118
-12 209 169 118 217
-13 168 169 180 173
-14 176 168 181 129
-15 187 178 147 129
-16 112 190 116 218
-17 181 116 215 207
-18 144 177 181 153
-19 132 153 186 219
-20 132 187 126 205
-21 145 173 152 175
-22 173 206 130 219
-23 189 148 119 219
-24 134 114 148 138
-25 121 111 114 126
-26 177 115 139 129
-27 177 213 138 217
-28 199 170 138 160
-29 124 160 162 208
-30 111 194 162 141
-31 132 122 189 179
-32 189 182 207 208
-33 135 146 150 208
-34 165 156 150 197
-35 154 209 156 141
-36 114 170 203 214
-37 112 170 130 197
-38 123 178 128 197
-39 198 178 192 193
-40 154 193 215 161
-41 146 190 204 162
-42 146 213 192 175
-43 187 212 136 192
-44 187 133 117 172
-45 117 161 206 185
-46 123 156 159 152
-47 123 115 182 172
-48 180 202 126 172
-49 220 167 126 149
-50 220 217 185 142
-51 166 136 193 129
-52 112 179 136 149
-53 111 144 157 149
-54 111 155 200 195
-55 155 151 207 142
-56 132 113 180 117
-57 200 180 203 175
-58 188 200 119 141
-59 176 210 171 141
-60 210 140 151 130
-61 220 144 114 183
-62 176 144 115 204
-63 154 176 199 131
-64 154 201 125 186
-65 125 213 140 184
-66 155 147 162 119
-67 179 159 119 186
-68 135 161 196 186
-69 134 191 161 120
-70 182 184 120 164
-71 199 210 156 205
-72 166 199 134 203
-73 134 158 128 185
-74 124 169 127 185
-75 112 137 127 164
-76 121 135 125 193
-77 113 124 135 204
-78 124 212 118 142
-79 165 211 181 142
-80 211 137 216 175
-81 117 128 194 120
-82 165 159 128 183
-83 165 202 116 151
-84 143 198 151 219
-85 143 115 216 163
-86 209 220 212 127
-87 198 166 212 147
-88 198 157 140 173
-89 133 138 140 218
-90 179 163 174 218
-91 155 211 202 215
-92 133 113 202 205
-93 133 177 188 184
-94 145 167 184 208
-95 145 168 203 174
-96 143 210 157 206
-97 121 167 157 183
-98 167 189 131 164
-99 139 195 164 197
-100 168 204 139 153
-101 188 125 217 218
-102 188 147 194 195
-103 137 170 195 196
-104 122 137 192 171
-105 122 148 159 153
-106 145 207 120 131
-107 209 171 205 131
-108 146 158 171 216
-109 201 214 172 216
-110 166 148 214 160
-111 25 30 53 54
-112 37 16 52 75
-113 77 56 92 5
-114 24 25 36 61
-115 47 26 62 85
-116 16 17 83 8
-117 44 45 56 81
-118 11 12 78 3
-119 66 23 67 58
-120 69 70 81 106
-121 2 25 97 76
-122 104 6 105 31
-123 46 3 47 38
-124 77 78 29 74
-125 101 64 65 76
-126 25 48 49 20
-127 1 74 75 86
-128 81 38 82 73
-129 14 15 26 51
-130 22 1 37 60
-131 106 63 107 98
-132 56 19 20 31
-133 44 89 92 93
-134 24 69 72 73
-135 33 77 68 76
-136 51 8 52 43
-137 80 103 104 75
-138 89 24 27 28
-139 99 1 100 26
-140 88 89 60 65
-141 35 58 59 30
-142 55 78 79 50
-143 11 84 85 96
-144 61 18 62 53
-145 94 95 106 21
-146 33 41 42 108
-147 66 102 15 87
-148 110 23 24 105
-149 4 49 52 53
-150 33 34 5 10
-151 55 60 83 84
-152 46 9 10 21
-153 100 105 18 19
-154 35 40 63 64
-155 55 66 91 54
-156 34 35 46 71
-157 88 96 53 97
-158 6 7 73 108
-159 67 46 82 105
-160 110 5 28 29
-161 45 68 69 40
-162 66 29 30 41
-163 90 3 4 85
-164 99 70 75 98
-165 34 79 82 83
-166 110 72 51 87
-167 49 94 97 98
-168 100 13 14 95
-169 12 13 74 9
-170 36 37 103 28
-171 59 104 107 108
-172 44 47 48 109
-173 22 88 13 21
-174 90 95 8 9
-175 57 80 42 21
-176 14 59 62 63
-177 26 27 93 18
-178 15 38 39 10
-179 67 90 52 31
-180 56 13 57 48
-181 79 14 17 18
-182 11 47 70 32
-183 82 61 97 10
-184 70 93 94 65
-185 45 50 73 74
-186 67 68 19 64
-187 44 15 20 43
-188 101 58 102 93
-189 23 31 32 98
-190 4 5 16 41
-191 69 4 7 8
-192 104 39 42 43
-193 39 40 51 76
-194 102 81 7 30
-195 99 102 103 54
-196 1 2 68 103
-197 99 34 37 38
-198 88 39 84 87
-199 71 28 72 63
-200 57 58 9 54
-201 2 3 64 109
-202 91 48 92 83
-203 57 36 72 95
-204 77 100 62 41
-205 92 71 107 20
-206 22 45 7 96
-207 55 17 106 32
-208 33 94 29 32
-209 12 35 107 86
-210 59 60 71 96
-211 79 80 91 6
-212 78 86 43 87
-213 27 6 42 65
-214 11 110 36 109
-215 2 91 17 40
-216 80 85 108 109
-217 12 101 27 50
-218 89 90 101 16
-219 22 23 84 19
-220 49 50 61 86
0