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