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