Graph forms
for C4 [ 204, 2 ] = C_204(1,35)
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On this page are computer-accessible forms for the graph C4[ 204, 2 ] =
C_204(1,35).
(I) Following is a form readable by MAGMA:
g:=Graph<204|{ {2, 3}, {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}, {88, 89}, {86, 87}, {84,
85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68,
69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52,
53}, {50, 51}, {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},
{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}, {1, 2}, {201, 202}, {197, 198}, {193, 194}, {189, 190}, {185,
186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162},
{85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58},
{53, 54}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30},
{33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {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}, {149, 150},
{153, 154}, {157, 158}, {3, 4}, {203, 204}, {195, 196}, {187, 188}, {179, 180},
{171, 172}, {163, 164}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {51, 52}, {11,
12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {91, 92}, {99, 100}, {107, 108},
{115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {7, 8},
{199, 200}, {183, 184}, {167, 168}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39,
40}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {15, 16}, {175, 176}, {79,
80}, {47, 48}, {111, 112}, {143, 144}, {4, 39}, {84, 119}, {80, 115}, {76, 111},
{72, 107}, {68, 103}, {64, 99}, {8, 43}, {12, 47}, {16, 51}, {20, 55}, {24, 59},
{28, 63}, {88, 123}, {92, 127}, {128, 163}, {132, 167}, {136, 171}, {140, 175},
{144, 179}, {148, 183}, {152, 187}, {156, 191}, {1, 36}, {83, 118}, {81, 116},
{75, 110}, {73, 108}, {67, 102}, {65, 100}, {3, 38}, {9, 44}, {11, 46}, {17,
52}, {19, 54}, {25, 60}, {27, 62}, {89, 124}, {91, 126}, {129, 164}, {131, 166},
{137, 172}, {139, 174}, {145, 180}, {147, 182}, {153, 188}, {155, 190}, {2, 37},
{82, 117}, {74, 109}, {66, 101}, {10, 45}, {18, 53}, {26, 61}, {90, 125}, {130,
165}, {138, 173}, {146, 181}, {154, 189}, {5, 40}, {87, 122}, {85, 120}, {71,
106}, {69, 104}, {7, 42}, {21, 56}, {23, 58}, {133, 168}, {135, 170}, {149,
184}, {151, 186}, {6, 41}, {86, 121}, {70, 105}, {22, 57}, {134, 169}, {150,
185}, {13, 48}, {79, 114}, {77, 112}, {15, 50}, {141, 176}, {143, 178}, {14,
49}, {159, 160}, {78, 113}, {31, 32}, {95, 96}, {142, 177}, {29, 64}, {159,
194}, {63, 98}, {61, 96}, {31, 66}, {157, 192}, {30, 65}, {158, 193}, {62, 97},
{32, 67}, {168, 203}, {164, 199}, {160, 195}, {60, 95}, {56, 91}, {52, 87}, {36,
71}, {40, 75}, {44, 79}, {48, 83}, {33, 68}, {169, 204}, {163, 198}, {161, 196},
{59, 94}, {57, 92}, {51, 86}, {35, 70}, {41, 76}, {43, 78}, {49, 84}, {34, 69},
{162, 197}, {58, 93}, {50, 85}, {42, 77}, {37, 72}, {167, 202}, {165, 200}, {55,
90}, {53, 88}, {39, 74}, {38, 73}, {166, 201}, {54, 89}, {45, 80}, {47, 82},
{46, 81}, {191, 192}, {63, 64}, {2, 171}, {4, 173}, {6, 175}, {16, 185}, {18,
187}, {20, 189}, {22, 191}, {1, 170}, {5, 174}, {17, 186}, {21, 190}, {3, 172},
{19, 188}, {7, 176}, {15, 184}, {8, 177}, {10, 179}, {12, 181}, {14, 183}, {9,
178}, {13, 182}, {11, 180}, {1, 204}, {23, 192}, {31, 200}, {24, 193}, {26,
195}, {28, 197}, {30, 199}, {25, 194}, {29, 198}, {93, 128}, {95, 130}, {125,
160}, {127, 162}, {27, 196}, {94, 129}, {126, 161}, {96, 131}, {100, 135}, {104,
139}, {108, 143}, {112, 147}, {116, 151}, {120, 155}, {124, 159}, {97, 132},
{99, 134}, {105, 140}, {107, 142}, {113, 148}, {115, 150}, {121, 156}, {123,
158}, {98, 133}, {106, 141}, {114, 149}, {122, 157}, {32, 201}, {34, 203}, {33,
202}, {101, 136}, {103, 138}, {117, 152}, {119, 154}, {35, 204}, {102, 137},
{118, 153}, {109, 144}, {111, 146}, {110, 145}, {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, 170)(3, 135)(4, 100)(5, 65)(6, 30)(7, 199)(8, 164)(9, 129)(10, 94)(11,
59)(12, 24)(13, 193)(14, 158)(15, 123)(16, 88)(17, 53)(19, 187)(20, 152)(21,
117)(22, 82)(23, 47)(25, 181)(26, 146)(27, 111)(28, 76)(29, 41)(31, 175)(32,
140)(33, 105)(34, 70)(36, 204)(37, 169)(38, 134)(39, 99)(40, 64)(42, 198)(43,
163)(44, 128)(45, 93)(46, 58)(48, 192)(49, 157)(50, 122)(51, 87)(54, 186)(55,
151)(56, 116)(57, 81)(60, 180)(61, 145)(62, 110)(63, 75)(66, 174)(67, 139)(68,
104)(71, 203)(72, 168)(73, 133)(74, 98)(77, 197)(78, 162)(79, 127)(80, 92)(83,
191)(84, 156)(85, 121)(89, 185)(90, 150)(91, 115)(95, 179)(96, 144)(97,
109)(101, 173)(102, 138)(106, 202)(107, 167)(108, 132)(112, 196)(113, 161)(114,
126)(118, 190)(119, 155)(124, 184)(125, 149)(130, 178)(131, 143)(136, 172)(141,
201)(142, 166)(147, 195)(148, 160)(153, 189)(159, 183)(165, 177)(176, 200)(182,
194) (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, 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)
c: (2, 36)(3, 71)(4, 106)(5, 141)(6, 176)(8, 42)(9, 77)(10, 112)(11, 147)(12,
182)(14, 48)(15, 83)(16, 118)(17, 153)(18, 188)(20, 54)(21, 89)(22, 124)(23,
159)(24, 194)(26, 60)(27, 95)(28, 130)(29, 165)(30, 200)(32, 66)(33, 101)(34,
136)(35, 171)(38, 72)(39, 107)(40, 142)(41, 177)(44, 78)(45, 113)(46, 148)(47,
183)(50, 84)(51, 119)(52, 154)(53, 189)(56, 90)(57, 125)(58, 160)(59, 195)(62,
96)(63, 131)(64, 166)(65, 201)(68, 102)(69, 137)(70, 172)(74, 108)(75, 143)(76,
178)(80, 114)(81, 149)(82, 184)(86, 120)(87, 155)(88, 190)(92, 126)(93, 161)(94,
196)(98, 132)(99, 167)(100, 202)(104, 138)(105, 173)(110, 144)(111, 179)(116,
150)(117, 185)(122, 156)(123, 191)(128, 162)(129, 197)(134, 168)(135, 203)(140,
174)(146, 180)(152, 186)(158, 192)(164, 198)(170, 204)
C4[ 204, 2 ]
204
-1 2 36 170 204
-2 1 3 37 171
-3 2 4 38 172
-4 3 5 39 173
-5 4 6 40 174
-6 5 7 41 175
-7 176 6 8 42
-8 177 7 9 43
-9 44 178 8 10
-10 11 45 179 9
-11 12 46 180 10
-12 11 13 47 181
-13 12 14 48 182
-14 13 15 49 183
-15 14 16 50 184
-16 15 17 51 185
-17 16 18 52 186
-18 187 17 19 53
-19 188 18 20 54
-20 55 189 19 21
-21 22 56 190 20
-22 23 57 191 21
-23 22 24 58 192
-24 23 25 59 193
-25 24 26 60 194
-26 25 27 61 195
-27 26 28 62 196
-28 27 29 63 197
-29 198 28 30 64
-30 199 29 31 65
-31 66 200 30 32
-32 33 67 201 31
-33 34 68 202 32
-34 33 35 69 203
-35 34 36 70 204
-36 1 35 37 71
-37 2 36 38 72
-38 3 37 39 73
-39 4 38 40 74
-40 5 39 41 75
-41 6 40 42 76
-42 77 7 41 43
-43 44 78 8 42
-44 45 79 9 43
-45 44 46 80 10
-46 11 45 47 81
-47 12 46 48 82
-48 13 47 49 83
-49 14 48 50 84
-50 15 49 51 85
-51 16 50 52 86
-52 17 51 53 87
-53 88 18 52 54
-54 55 89 19 53
-55 56 90 20 54
-56 55 57 91 21
-57 22 56 58 92
-58 23 57 59 93
-59 24 58 60 94
-60 25 59 61 95
-61 26 60 62 96
-62 27 61 63 97
-63 28 62 64 98
-64 99 29 63 65
-65 66 100 30 64
-66 67 101 31 65
-67 66 68 102 32
-68 33 67 69 103
-69 34 68 70 104
-70 35 69 71 105
-71 36 70 72 106
-72 37 71 73 107
-73 38 72 74 108
-74 39 73 75 109
-75 110 40 74 76
-76 77 111 41 75
-77 78 112 42 76
-78 77 79 113 43
-79 44 78 80 114
-80 45 79 81 115
-81 46 80 82 116
-82 47 81 83 117
-83 48 82 84 118
-84 49 83 85 119
-85 50 84 86 120
-86 121 51 85 87
-87 88 122 52 86
-88 89 123 53 87
-89 88 90 124 54
-90 55 89 91 125
-91 56 90 92 126
-92 57 91 93 127
-93 58 92 94 128
-94 59 93 95 129
-95 60 94 96 130
-96 61 95 97 131
-97 132 62 96 98
-98 99 133 63 97
-99 100 134 64 98
-100 99 101 135 65
-101 66 100 102 136
-102 67 101 103 137
-103 68 102 104 138
-104 69 103 105 139
-105 70 104 106 140
-106 71 105 107 141
-107 72 106 108 142
-108 143 73 107 109
-109 110 144 74 108
-110 111 145 75 109
-111 110 112 146 76
-112 77 111 113 147
-113 78 112 114 148
-114 79 113 115 149
-115 80 114 116 150
-116 81 115 117 151
-117 82 116 118 152
-118 83 117 119 153
-119 154 84 118 120
-120 121 155 85 119
-121 122 156 86 120
-122 121 123 157 87
-123 88 122 124 158
-124 89 123 125 159
-125 90 124 126 160
-126 91 125 127 161
-127 92 126 128 162
-128 93 127 129 163
-129 94 128 130 164
-130 165 95 129 131
-131 132 166 96 130
-132 133 167 97 131
-133 132 134 168 98
-134 99 133 135 169
-135 100 134 136 170
-136 101 135 137 171
-137 102 136 138 172
-138 103 137 139 173
-139 104 138 140 174
-140 105 139 141 175
-141 176 106 140 142
-142 143 177 107 141
-143 144 178 108 142
-144 143 145 179 109
-145 110 144 146 180
-146 111 145 147 181
-147 112 146 148 182
-148 113 147 149 183
-149 114 148 150 184
-150 115 149 151 185
-151 116 150 152 186
-152 187 117 151 153
-153 154 188 118 152
-154 155 189 119 153
-155 154 156 190 120
-156 121 155 157 191
-157 122 156 158 192
-158 123 157 159 193
-159 124 158 160 194
-160 125 159 161 195
-161 126 160 162 196
-162 127 161 163 197
-163 198 128 162 164
-164 165 199 129 163
-165 166 200 130 164
-166 165 167 201 131
-167 132 166 168 202
-168 133 167 169 203
-169 134 168 170 204
-170 1 135 169 171
-171 2 136 170 172
-172 3 137 171 173
-173 4 138 172 174
-174 5 139 173 175
-175 176 6 140 174
-176 177 7 141 175
-177 176 178 8 142
-178 143 177 179 9
-179 144 178 180 10
-180 11 145 179 181
-181 12 146 180 182
-182 13 147 181 183
-183 14 148 182 184
-184 15 149 183 185
-185 16 150 184 186
-186 187 17 151 185
-187 188 18 152 186
-188 187 189 19 153
-189 154 188 190 20
-190 155 189 191 21
-191 22 156 190 192
-192 23 157 191 193
-193 24 158 192 194
-194 25 159 193 195
-195 26 160 194 196
-196 27 161 195 197
-197 198 28 162 196
-198 199 29 163 197
-199 198 200 30 164
-200 165 199 201 31
-201 166 200 202 32
-202 33 167 201 203
-203 34 168 202 204
-204 1 35 169 203
0