Graph forms
for C4 [ 207, 1 ] = C_207(1,91)
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On this page are computer-accessible forms for the graph C4[ 207, 1 ] =
C_207(1,91).
(I) Following is a form readable by MAGMA:
g:=Graph<207|{ {2, 3}, {206, 207}, {204, 205}, {202, 203}, {200, 201}, {198,
199}, {196, 197}, {194, 195}, {192, 193}, {190, 191}, {188, 189}, {186, 187},
{184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174, 175}, {172,
173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161},
{158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {72,
73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56,
57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {4, 5}, {6, 7},
{8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23},
{24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39},
{40, 41}, {42, 43}, {74, 75}, {76, 77}, {78, 79}, {80, 81}, {82, 83}, {84, 85},
{86, 87}, {88, 89}, {90, 91}, {92, 93}, {94, 95}, {96, 97}, {98, 99}, {100,
101}, {102, 103}, {104, 105}, {106, 107}, {108, 109}, {110, 111}, {112, 113},
{114, 115}, {116, 117}, {118, 119}, {120, 121}, {122, 123}, {124, 125}, {126,
127}, {128, 129}, {130, 131}, {132, 133}, {134, 135}, {136, 137}, {138, 139},
{140, 141}, {142, 143}, {144, 145}, {146, 147}, {1, 2}, {205, 206}, {201, 202},
{197, 198}, {193, 194}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173,
174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {149, 150},
{69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {5, 6},
{9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38},
{41, 42}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98},
{101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125,
126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {3, 4}, {203,
204}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156},
{147, 148}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35,
36}, {43, 44}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116},
{123, 124}, {131, 132}, {139, 140}, {7, 8}, {199, 200}, {183, 184}, {167, 168},
{151, 152}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {119,
120}, {135, 136}, {15, 16}, {175, 176}, {47, 48}, {79, 80}, {111, 112}, {143,
144}, {31, 32}, {159, 160}, {95, 96}, {4, 95}, {32, 123}, {36, 127}, {1, 92},
{3, 94}, {33, 124}, {35, 126}, {2, 93}, {34, 125}, {5, 96}, {7, 98}, {13, 104},
{15, 106}, {21, 112}, {23, 114}, {29, 120}, {31, 122}, {6, 97}, {14, 105}, {22,
113}, {30, 121}, {8, 99}, {12, 103}, {24, 115}, {28, 119}, {9, 100}, {11, 102},
{25, 116}, {27, 118}, {10, 101}, {26, 117}, {1, 117}, {2, 118}, {3, 119}, {8,
124}, {9, 125}, {10, 126}, {11, 127}, {16, 107}, {20, 111}, {4, 120}, {5, 121},
{6, 122}, {7, 123}, {17, 108}, {19, 110}, {18, 109}, {191, 192}, {63, 64}, {12,
128}, {63, 179}, {62, 178}, {61, 177}, {60, 176}, {47, 163}, {46, 162}, {45,
161}, {44, 160}, {13, 129}, {14, 130}, {15, 131}, {28, 144}, {29, 145}, {30,
146}, {31, 147}, {76, 192}, {77, 193}, {78, 194}, {79, 195}, {16, 132}, {59,
175}, {58, 174}, {57, 173}, {56, 172}, {51, 167}, {50, 166}, {49, 165}, {48,
164}, {17, 133}, {18, 134}, {19, 135}, {24, 140}, {25, 141}, {26, 142}, {27,
143}, {80, 196}, {81, 197}, {82, 198}, {83, 199}, {88, 204}, {89, 205}, {90,
206}, {91, 207}, {20, 136}, {55, 171}, {54, 170}, {53, 169}, {52, 168}, {21,
137}, {22, 138}, {23, 139}, {84, 200}, {85, 201}, {86, 202}, {87, 203}, {37,
128}, {63, 154}, {61, 152}, {55, 146}, {53, 144}, {47, 138}, {45, 136}, {39,
130}, {101, 192}, {103, 194}, {109, 200}, {111, 202}, {38, 129}, {62, 153}, {54,
145}, {46, 137}, {102, 193}, {110, 201}, {40, 131}, {60, 151}, {56, 147}, {44,
135}, {104, 195}, {108, 199}, {41, 132}, {59, 150}, {57, 148}, {43, 134}, {105,
196}, {107, 198}, {42, 133}, {58, 149}, {106, 197}, {32, 148}, {43, 159}, {33,
149}, {34, 150}, {35, 151}, {40, 156}, {41, 157}, {42, 158}, {48, 139}, {52,
143}, {112, 203}, {116, 207}, {36, 152}, {37, 153}, {38, 154}, {39, 155}, {49,
140}, {51, 142}, {113, 204}, {115, 206}, {50, 141}, {114, 205}, {1, 207}, {64,
155}, {68, 159}, {96, 187}, {100, 191}, {65, 156}, {67, 158}, {97, 188}, {99,
190}, {66, 157}, {98, 189}, {69, 160}, {71, 162}, {77, 168}, {79, 170}, {85,
176}, {87, 178}, {93, 184}, {95, 186}, {70, 161}, {78, 169}, {86, 177}, {94,
185}, {72, 163}, {76, 167}, {88, 179}, {92, 183}, {73, 164}, {75, 166}, {89,
180}, {91, 182}, {74, 165}, {90, 181}, {64, 180}, {67, 183}, {66, 182}, {65,
181}, {72, 188}, {73, 189}, {74, 190}, {75, 191}, {80, 171}, {84, 175}, {68,
184}, {71, 187}, {70, 186}, {69, 185}, {81, 172}, {83, 174}, {82, 173}, {127,
128} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (2, 92)(3, 183)(4, 67)(5, 158)(6, 42)(7, 133)(8, 17)(9, 108)(10, 199)(11,
83)(12, 174)(13, 58)(14, 149)(15, 33)(16, 124)(18, 99)(19, 190)(20, 74)(21,
165)(22, 49)(23, 140)(25, 115)(26, 206)(27, 90)(28, 181)(29, 65)(30, 156)(31,
40)(32, 131)(34, 106)(35, 197)(36, 81)(37, 172)(38, 56)(39, 147)(41, 122)(43,
97)(44, 188)(45, 72)(46, 163)(48, 138)(50, 113)(51, 204)(52, 88)(53, 179)(54,
63)(55, 154)(57, 129)(59, 104)(60, 195)(61, 79)(62, 170)(64, 145)(66, 120)(68,
95)(69, 186)(71, 161)(73, 136)(75, 111)(76, 202)(77, 86)(78, 177)(80, 152)(82,
127)(84, 102)(85, 193)(87, 168)(89, 143)(91, 118)(94, 184)(96, 159)(98,
134)(100, 109)(101, 200)(103, 175)(105, 150)(107, 125)(110, 191)(112, 166)(114,
141)(117, 207)(119, 182)(121, 157)(123, 132)(126, 198)(128, 173)(130, 148)(135,
189)(137, 164)(142, 205)(144, 180)(146, 155)(151, 196)(153, 171)(160, 187)(167,
203)(169, 178)(176, 194)(192, 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: (2, 117)(3, 26)(4, 142)(5, 51)(6, 167)(7, 76)(8, 192)(9, 101)(11, 126)(12,
35)(13, 151)(14, 60)(15, 176)(16, 85)(17, 201)(18, 110)(20, 135)(21, 44)(22,
160)(23, 69)(24, 185)(25, 94)(27, 119)(29, 144)(30, 53)(31, 169)(32, 78)(33,
194)(34, 103)(36, 128)(38, 153)(39, 62)(40, 178)(41, 87)(42, 203)(43, 112)(45,
137)(47, 162)(48, 71)(49, 187)(50, 96)(52, 121)(54, 146)(56, 171)(57, 80)(58,
196)(59, 105)(61, 130)(63, 155)(65, 180)(66, 89)(67, 205)(68, 114)(70, 139)(72,
164)(74, 189)(75, 98)(77, 123)(79, 148)(81, 173)(83, 198)(84, 107)(86, 132)(88,
157)(90, 182)(92, 207)(93, 116)(95, 141)(97, 166)(99, 191)(102, 125)(104,
150)(106, 175)(108, 200)(111, 134)(113, 159)(115, 184)(120, 143)(122, 168)(124,
193)(129, 152)(131, 177)(133, 202)(138, 161)(140, 186)(147, 170)(149, 195)(156,
179)(158, 204)(165, 188)(174, 197)(183, 206)
c: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116,
117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132,
133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148,
149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180,
181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207)
C4[ 207, 1 ]
207
-1 2 92 117 207
-2 1 3 93 118
-3 2 4 94 119
-4 3 5 95 120
-5 121 4 6 96
-6 122 5 7 97
-7 123 6 8 98
-8 99 124 7 9
-9 100 125 8 10
-10 11 101 126 9
-11 12 102 127 10
-12 11 13 103 128
-13 12 14 104 129
-14 13 15 105 130
-15 14 16 106 131
-16 132 15 17 107
-17 133 16 18 108
-18 134 17 19 109
-19 110 135 18 20
-20 111 136 19 21
-21 22 112 137 20
-22 23 113 138 21
-23 22 24 114 139
-24 23 25 115 140
-25 24 26 116 141
-26 25 27 117 142
-27 143 26 28 118
-28 144 27 29 119
-29 145 28 30 120
-30 121 146 29 31
-31 122 147 30 32
-32 33 123 148 31
-33 34 124 149 32
-34 33 35 125 150
-35 34 36 126 151
-36 35 37 127 152
-37 36 38 128 153
-38 154 37 39 129
-39 155 38 40 130
-40 156 39 41 131
-41 132 157 40 42
-42 133 158 41 43
-43 44 134 159 42
-44 45 135 160 43
-45 44 46 136 161
-46 45 47 137 162
-47 46 48 138 163
-48 47 49 139 164
-49 165 48 50 140
-50 166 49 51 141
-51 167 50 52 142
-52 143 168 51 53
-53 144 169 52 54
-54 55 145 170 53
-55 56 146 171 54
-56 55 57 147 172
-57 56 58 148 173
-58 57 59 149 174
-59 58 60 150 175
-60 176 59 61 151
-61 177 60 62 152
-62 178 61 63 153
-63 154 179 62 64
-64 155 180 63 65
-65 66 156 181 64
-66 67 157 182 65
-67 66 68 158 183
-68 67 69 159 184
-69 68 70 160 185
-70 69 71 161 186
-71 187 70 72 162
-72 188 71 73 163
-73 189 72 74 164
-74 165 190 73 75
-75 166 191 74 76
-76 77 167 192 75
-77 78 168 193 76
-78 77 79 169 194
-79 78 80 170 195
-80 79 81 171 196
-81 80 82 172 197
-82 198 81 83 173
-83 199 82 84 174
-84 200 83 85 175
-85 176 201 84 86
-86 177 202 85 87
-87 88 178 203 86
-88 89 179 204 87
-89 88 90 180 205
-90 89 91 181 206
-91 90 92 182 207
-92 1 91 93 183
-93 2 92 94 184
-94 3 93 95 185
-95 4 94 96 186
-96 187 5 95 97
-97 188 6 96 98
-98 99 189 7 97
-99 100 190 8 98
-100 99 101 191 9
-101 100 102 192 10
-102 11 101 103 193
-103 12 102 104 194
-104 13 103 105 195
-105 14 104 106 196
-106 15 105 107 197
-107 198 16 106 108
-108 199 17 107 109
-109 110 200 18 108
-110 111 201 19 109
-111 110 112 202 20
-112 111 113 203 21
-113 22 112 114 204
-114 23 113 115 205
-115 24 114 116 206
-116 25 115 117 207
-117 1 26 116 118
-118 2 27 117 119
-119 3 28 118 120
-120 121 4 29 119
-121 122 5 30 120
-122 121 123 6 31
-123 122 124 7 32
-124 33 123 125 8
-125 34 124 126 9
-126 35 125 127 10
-127 11 36 126 128
-128 12 37 127 129
-129 13 38 128 130
-130 14 39 129 131
-131 132 15 40 130
-132 133 16 41 131
-133 132 134 17 42
-134 133 135 18 43
-135 44 134 136 19
-136 45 135 137 20
-137 46 136 138 21
-138 22 47 137 139
-139 23 48 138 140
-140 24 49 139 141
-141 25 50 140 142
-142 143 26 51 141
-143 144 27 52 142
-144 143 145 28 53
-145 144 146 29 54
-146 55 145 147 30
-147 56 146 148 31
-148 57 147 149 32
-149 33 58 148 150
-150 34 59 149 151
-151 35 60 150 152
-152 36 61 151 153
-153 154 37 62 152
-154 155 38 63 153
-155 154 156 39 64
-156 155 157 40 65
-157 66 156 158 41
-158 67 157 159 42
-159 68 158 160 43
-160 44 69 159 161
-161 45 70 160 162
-162 46 71 161 163
-163 47 72 162 164
-164 165 48 73 163
-165 166 49 74 164
-166 165 167 50 75
-167 166 168 51 76
-168 77 167 169 52
-169 78 168 170 53
-170 79 169 171 54
-171 55 80 170 172
-172 56 81 171 173
-173 57 82 172 174
-174 58 83 173 175
-175 176 59 84 174
-176 177 60 85 175
-177 176 178 61 86
-178 177 179 62 87
-179 88 178 180 63
-180 89 179 181 64
-181 90 180 182 65
-182 66 91 181 183
-183 67 92 182 184
-184 68 93 183 185
-185 69 94 184 186
-186 187 70 95 185
-187 188 71 96 186
-188 187 189 72 97
-189 188 190 73 98
-190 99 189 191 74
-191 100 190 192 75
-192 101 191 193 76
-193 77 102 192 194
-194 78 103 193 195
-195 79 104 194 196
-196 80 105 195 197
-197 198 81 106 196
-198 199 82 107 197
-199 198 200 83 108
-200 199 201 84 109
-201 110 200 202 85
-202 111 201 203 86
-203 112 202 204 87
-204 88 113 203 205
-205 89 114 204 206
-206 90 115 205 207
-207 1 91 116 206
0