Graph forms
for C4 [ 200, 35 ] = BGCG({4,4}_5,5;K2;{2,5})
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On this page are computer-accessible forms for the graph C4[ 200, 35 ] =
BGCG({4,4}_5,5;K2;{2,5}).
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {96, 106}, {99, 104}, {100, 104}, {98, 121}, {96, 125}, {79,
111}, {70, 103}, {88, 121}, {76, 109}, {78, 111}, {79, 110}, {82, 115}, {85,
116}, {69, 103}, {93, 126}, {90, 127}, {95, 122}, {94, 123}, {84, 114}, {93,
123}, {87, 113}, {65, 105}, {80, 120}, {66, 107}, {69, 108}, {66, 105}, {86,
125}, {83, 126}, {75, 101}, {81, 127}, {74, 101}, {85, 122}, {67, 119}, {64,
117}, {95, 106}, {67, 118}, {89, 110}, {74, 114}, {77, 119}, {72, 115}, {86,
109}, {64, 124}, {77, 113}, {70, 120}, {75, 116}, {54, 117}, {63, 124}, {45,
105}, {53, 112}, {54, 112}, {46, 105}, {36, 110}, {48, 122}, {39, 109}, {57,
118}, {35, 115}, {46, 126}, {44, 124}, {34, 113}, {56, 107}, {32, 116}, {45,
121}, {50, 103}, {43, 125}, {49, 103}, {37, 114}, {43, 124}, {59, 108}, {35,
121}, {36, 126}, {60, 102}, {33, 125}, {38, 122}, {59, 102}, {9, 107}, {22,
116}, {20, 119}, {27, 120}, {17, 117}, {15, 106}, {17, 120}, {30, 119}, {27,
114}, {24, 113}, {6, 108}, {25, 115}, {4, 111}, {3, 111}, {28, 112}, {9, 101},
{29, 112}, {10, 101}, {29, 109}, {4, 118}, {7, 117}, {26, 110}, {10, 127}, {14,
123}, {13, 123}, {14, 118}, {19, 107}, {16, 106}, {19, 104}, {16, 108}, {20,
104}, {1, 127}, {24, 102}, {25, 102}, {23, 151}, {34, 162}, {30, 159}, {35,
162}, {18, 144}, {45, 175}, {29, 159}, {26, 152}, {23, 149}, {5, 134}, {19,
144}, {65, 194}, {6, 131}, {40, 173}, {25, 156}, {15, 137}, {48, 182}, {26,
156}, {23, 145}, {61, 187}, {3, 132}, {62, 185}, {5, 141}, {16, 152}, {63, 183},
{62, 183}, {32, 170}, {39, 173}, {52, 190}, {6, 141}, {53, 190}, {30, 146}, {44,
160}, {60, 176}, {1, 140}, {45, 160}, {24, 149}, {8, 133}, {57, 180}, {77, 192},
{58, 180}, {78, 192}, {4, 139}, {25, 137}, {30, 142}, {38, 183}, {53, 164}, {37,
183}, {84, 199}, {91, 200}, {21, 129}, {87, 195}, {54, 162}, {51, 166}, {86,
195}, {55, 162}, {8, 158}, {28, 138}, {57, 175}, {61, 171}, {9, 158}, {12, 148},
{35, 187}, {18, 138}, {47, 182}, {94, 199}, {81, 200}, {13, 151}, {42, 176},
{21, 142}, {94, 197}, {51, 168}, {61, 166}, {63, 164}, {52, 168}, {28, 130},
{47, 177}, {32, 190}, {31, 129}, {11, 148}, {46, 177}, {36, 187}, {33, 190},
{31, 128}, {58, 165}, {60, 163}, {3, 163}, {14, 174}, {15, 174}, {22, 180}, {46,
140}, {23, 180}, {28, 191}, {1, 165}, {38, 130}, {29, 185}, {27, 191}, {22,
178}, {17, 181}, {5, 161}, {2, 167}, {14, 171}, {10, 175}, {4, 161}, {1, 167},
{48, 150}, {59, 157}, {11, 172}, {97, 198}, {32, 135}, {21, 178}, {18, 181},
{49, 150}, {58, 157}, {63, 152}, {20, 188}, {40, 128}, {50, 154}, {50, 155},
{19, 185}, {41, 131}, {22, 186}, {34, 143}, {42, 135}, {62, 147}, {8, 166}, {43,
133}, {33, 143}, {13, 163}, {11, 165}, {10, 164}, {61, 147}, {39, 136}, {20,
164}, {33, 145}, {26, 168}, {41, 155}, {40, 154}, {55, 133}, {24, 171}, {27,
168}, {51, 128}, {7, 179}, {48, 132}, {18, 166}, {12, 184}, {50, 134}, {13,
184}, {31, 170}, {12, 186}, {47, 153}, {53, 131}, {56, 142}, {7, 176}, {11,
188}, {17, 169}, {51, 139}, {16, 169}, {49, 136}, {42, 147}, {21, 172}, {55,
142}, {39, 157}, {49, 139}, {41, 147}, {40, 146}, {54, 140}, {8, 179}, {38,
157}, {37, 153}, {56, 132}, {58, 134}, {60, 128}, {3, 189}, {2, 189}, {2, 194},
{95, 159}, {75, 138}, {94, 159}, {80, 145}, {83, 146}, {83, 144}, {90, 153}, {5,
193}, {7, 195}, {84, 144}, {6, 195}, {71, 130}, {88, 158}, {2, 197}, {91, 156},
{89, 158}, {78, 137}, {92, 148}, {69, 143}, {71, 141}, {65, 138}, {90, 145},
{68, 143}, {68, 137}, {87, 154}, {12, 194}, {15, 193}, {9, 198}, {91, 148}, {78,
129}, {75, 155}, {73, 152}, {96, 178}, {81, 130}, {97, 178}, {92, 136}, {97,
181}, {66, 151}, {76, 155}, {98, 181}, {31, 199}, {88, 129}, {82, 136}, {73,
146}, {93, 134}, {76, 151}, {74, 150}, {80, 141}, {89, 135}, {73, 150}, {91,
132}, {36, 196}, {88, 184}, {37, 196}, {100, 133}, {98, 131}, {68, 165}, {93,
191}, {92, 191}, {44, 200}, {99, 135}, {70, 163}, {74, 172}, {66, 170}, {67,
170}, {85, 188}, {34, 200}, {86, 188}, {47, 197}, {44, 198}, {42, 192}, {77,
167}, {43, 192}, {96, 139}, {76, 167}, {64, 172}, {65, 173}, {71, 171}, {64,
173}, {41, 199}, {83, 189}, {79, 160}, {99, 140}, {95, 176}, {87, 184}, {82,
189}, {80, 160}, {72, 185}, {52, 198}, {68, 182}, {92, 175}, {85, 161}, {90,
174}, {52, 193}, {55, 194}, {67, 182}, {79, 186}, {84, 161}, {71, 177}, {99,
149}, {89, 174}, {98, 149}, {81, 169}, {100, 156}, {72, 177}, {73, 179}, {72,
179}, {97, 154}, {82, 169}, {56, 196}, {57, 196}, {100, 153}, {70, 187}, {59,
197}, {62, 193}, {69, 186} }>;
(II) A more general form is to represent the graph as the orbit of {96, 106}
under the group generated by the following permutations:
a: (2, 10)(3, 9)(4, 8)(5, 7)(11, 46)(12, 45)(13, 44)(14, 43)(15, 42)(16, 41)(17,
50)(18, 49)(19, 48)(20, 47)(21, 36)(22, 35)(23, 34)(24, 33)(25, 32)(26, 31)(27,
40)(28, 39)(29, 38)(30, 37)(52, 60)(53, 59)(54, 58)(55, 57)(61, 96)(62, 95)(63,
94)(64, 93)(65, 92)(66, 91)(67, 100)(68, 99)(69, 98)(70, 97)(71, 86)(72, 85)(73,
84)(74, 83)(75, 82)(76, 81)(77, 90)(78, 89)(79, 88)(80, 87)(101, 189)(102,
190)(103, 181)(104, 182)(105, 148)(106, 147)(107, 132)(108, 131)(109, 130)(110,
129)(111, 158)(112, 157)(113, 145)(114, 146)(115, 116)(117, 134)(118, 133)(119,
153)(120, 154)(121, 186)(122, 185)(123, 124)(125, 171)(126, 172)(127, 167)(128,
168)(135, 137)(136, 138)(139, 166)(140, 165)(141, 195)(142, 196)(143, 149)(144,
150)(151, 200)(152, 199)(155, 169)(156, 170)(159, 183)(160, 184)(161, 179)(162,
180)(163, 198)(164, 197)(173, 191)(174, 192)(175, 194)(176, 193)(177, 188)(178,
187) (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, 46)(3, 36)(4, 26)(5, 16)(7, 41)(8, 31)(9, 21)(10, 11)(12, 45)(13, 35)(14,
25)(17, 50)(18, 40)(19, 30)(22, 44)(23, 34)(27, 49)(28, 39)(32, 43)(37, 48)(52,
96)(53, 86)(54, 76)(55, 66)(57, 91)(58, 81)(59, 71)(60, 61)(62, 95)(63, 85)(64,
75)(67, 100)(68, 90)(69, 80)(72, 94)(73, 84)(77, 99)(78, 89)(82, 93)(87,
98)(101, 172)(102, 171)(103, 120)(104, 119)(105, 194)(106, 193)(107, 142)(108,
141)(109, 112)(110, 111)(113, 149)(114, 150)(115, 123)(116, 124)(117, 155)(118,
156)(121, 184)(122, 183)(125, 190)(126, 189)(127, 165)(128, 166)(129, 158)(130,
157)(131, 195)(132, 196)(133, 170)(134, 169)(135, 192)(136, 191)(137, 174)(138,
173)(139, 168)(140, 167)(143, 145)(144, 146)(147, 176)(148, 175)(151, 162)(152,
161)(153, 182)(154, 181)(159, 185)(160, 186)(163, 187)(164, 188)(177, 197)(178,
198)(179, 199)(180, 200)
c: (2, 58, 10, 54)(3, 5, 9, 7)(4, 52, 8, 60)(6, 56)(11, 81, 46, 76)(12, 38, 45,
29)(13, 85, 44, 72)(14, 32, 43, 25)(15, 89, 42, 78)(16, 36, 41, 21)(17, 83, 50,
74)(18, 40, 49, 27)(19, 87, 48, 80)(20, 34, 47, 23)(22, 63, 35, 94)(24, 67, 33,
100)(26, 61, 31, 96)(28, 65, 39, 92)(30, 69, 37, 98)(53, 55, 59, 57)(62, 88, 95,
79)(64, 82, 93, 75)(66, 86, 91, 71)(68, 90, 99, 77)(70, 84, 97, 73)(101, 117,
189, 134)(102, 118, 190, 133)(103, 114, 181, 146)(104, 113, 182, 145)(105, 109,
148, 130)(106, 110, 147, 129)(107, 195, 132, 141)(108, 196, 131, 142)(111, 193,
158, 176)(112, 194, 157, 175)(115, 123, 116, 124)(119, 143, 153, 149)(120, 144,
154, 150)(121, 159, 186, 183)(122, 160, 185, 184)(125, 156, 171, 170)(126, 155,
172, 169)(127, 140, 167, 165)(128, 139, 168, 166)(135, 192, 137, 174)(136, 191,
138, 173)(151, 188, 200, 177)(152, 187, 199, 178)(161, 198, 179, 163)(162, 197,
180, 164)
d: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)(11, 47, 13, 49, 15, 41, 17, 43, 19, 45)(12,
48, 14, 50, 16, 42, 18, 44, 20, 46)(21, 37, 23, 39, 25, 31, 27, 33, 29, 35)(22,
38, 24, 40, 26, 32, 28, 34, 30, 36)(51, 52, 53, 54, 55, 56, 57, 58, 59, 60)(61,
97, 63, 99, 65, 91, 67, 93, 69, 95)(62, 98, 64, 100, 66, 92, 68, 94, 70, 96)(71,
87, 73, 89, 75, 81, 77, 83, 79, 85)(72, 88, 74, 90, 76, 82, 78, 84, 80, 86)(101,
127, 167, 189, 111, 161, 141, 195, 179, 158)(102, 128, 168, 190, 112, 162, 142,
196, 180, 157)(103, 106, 147, 181, 124, 104, 105, 148, 182, 123)(107, 175, 165,
197, 163, 139, 193, 131, 117, 133)(108, 176, 166, 198, 164, 140, 194, 132, 118,
134)(109, 115, 129, 114, 145)(110, 116, 130, 113, 146)(119, 126, 186, 122, 171,
154, 152, 135, 138, 200)(120, 125, 185, 121, 172, 153, 151, 136, 137, 199)(143,
159, 187, 178, 183, 149, 173, 156, 170, 191)(144, 160, 188, 177, 184, 150, 174,
155, 169, 192)
C4[ 200, 35 ]
200
-1 165 167 127 140
-2 167 189 194 197
-3 132 111 189 163
-4 111 139 161 118
-5 134 193 161 141
-6 195 108 141 131
-7 176 179 117 195
-8 133 166 179 158
-9 198 101 158 107
-10 101 127 164 175
-11 165 188 148 172
-12 148 194 184 186
-13 123 151 184 163
-14 123 171 118 174
-15 137 193 106 174
-16 169 106 108 152
-17 169 181 117 120
-18 144 166 181 138
-19 144 104 107 185
-20 188 104 119 164
-21 178 172 129 142
-22 178 180 116 186
-23 145 180 149 151
-24 102 113 149 171
-25 156 102 115 137
-26 110 156 168 152
-27 168 114 191 120
-28 112 191 138 130
-29 112 159 185 109
-30 146 159 119 142
-31 199 170 128 129
-32 135 190 170 116
-33 143 145 190 125
-34 143 200 113 162
-35 121 187 115 162
-36 110 187 126 196
-37 114 183 196 153
-38 122 157 183 130
-39 157 136 173 109
-40 154 146 128 173
-41 155 199 147 131
-42 176 135 147 192
-43 133 124 125 192
-44 198 200 124 160
-45 121 105 160 175
-46 177 126 105 140
-47 177 182 153 197
-48 132 122 182 150
-49 103 136 139 150
-50 154 155 134 103
-51 166 168 128 139
-52 198 168 190 193
-53 112 190 131 164
-54 112 117 140 162
-55 133 194 162 142
-56 132 107 196 142
-57 180 118 196 175
-58 165 134 157 180
-59 102 157 108 197
-60 176 102 128 163
-61 187 166 147 171
-62 147 193 183 185
-63 124 183 152 164
-64 124 117 172 173
-65 105 138 194 173
-66 170 105 107 151
-67 170 182 118 119
-68 143 165 137 182
-69 143 103 108 186
-70 187 103 163 120
-71 177 171 130 141
-72 177 179 115 185
-73 146 179 150 152
-74 101 114 150 172
-75 155 101 116 138
-76 155 167 151 109
-77 167 113 192 119
-78 111 137 192 129
-79 110 111 160 186
-80 145 160 141 120
-81 200 169 127 130
-82 189 136 169 115
-83 144 189 146 126
-84 144 199 114 161
-85 122 188 116 161
-86 188 125 195 109
-87 154 113 184 195
-88 121 158 129 184
-89 110 135 158 174
-90 145 127 174 153
-91 132 156 200 148
-92 136 191 148 175
-93 123 134 191 126
-94 199 123 159 197
-95 176 122 159 106
-96 178 125 106 139
-97 154 198 178 181
-98 121 181 149 131
-99 135 104 149 140
-100 133 156 104 153
-101 74 9 75 10
-102 24 25 59 60
-103 69 70 49 50
-104 99 100 19 20
-105 66 45 46 65
-106 15 16 95 96
-107 66 56 19 9
-108 69 59 16 6
-109 39 29 86 76
-110 89 79 36 26
-111 78 79 3 4
-112 28 29 53 54
-113 77 34 24 87
-114 37 27 84 74
-115 35 25 82 72
-116 22 85 75 32
-117 17 7 64 54
-118 67 57 14 4
-119 77 67 30 20
-120 80 70 27 17
-121 88 45 35 98
-122 48 38 95 85
-123 13 14 93 94
-124 44 63 64 43
-125 33 96 86 43
-126 46 36 93 83
-127 1 90 81 10
-128 60 40 51 31
-129 88 78 31 21
-130 81 38 71 28
-131 6 41 53 98
-132 56 3 91 48
-133 55 100 8 43
-134 58 5 93 50
-135 99 89 42 32
-136 92 49 82 39
-137 78 68 25 15
-138 28 18 75 65
-139 4 49 51 96
-140 99 1 46 54
-141 80 5 71 6
-142 55 56 30 21
-143 33 34 68 69
-144 83 18 84 19
-145 33 23 90 80
-146 83 40 73 30
-147 61 62 41 42
-148 11 12 91 92
-149 99 23 24 98
-150 48 49 73 74
-151 66 23 13 76
-152 26 16 73 63
-153 100 90 47 37
-154 50 40 97 87
-155 50 41 75 76
-156 100 25 91 26
-157 58 59 38 39
-158 88 89 8 9
-159 94 29 95 30
-160 44 45 79 80
-161 4 5 84 85
-162 55 34 35 54
-163 13 3 70 60
-164 63 20 53 10
-165 11 1 68 58
-166 61 18 51 8
-167 77 1 2 76
-168 26 27 51 52
-169 81 16 82 17
-170 66 67 31 32
-171 24 14 71 61
-172 11 74 64 21
-173 39 40 64 65
-174 89 90 14 15
-175 45 57 92 10
-176 60 7 95 42
-177 46 47 71 72
-178 22 96 97 21
-179 72 7 73 8
-180 22 23 57 58
-181 17 18 97 98
-182 67 68 47 48
-183 37 38 62 63
-184 88 12 13 87
-185 72 29 62 19
-186 22 12 79 69
-187 35 36 70 61
-188 11 85 20 86
-189 2 3 82 83
-190 33 52 53 32
-191 92 27 93 28
-192 77 78 42 43
-193 15 5 62 52
-194 55 12 2 65
-195 6 7 86 87
-196 56 57 36 37
-197 2 47 59 94
-198 44 52 9 97
-199 94 84 41 31
-200 44 34 91 81
0