Graph forms
for C4 [ 200, 21 ] =
PL(MC3(20,5,1,4,2,0,1),[10^10,20^5])
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On this page are computer-accessible forms for the graph C4[ 200, 21 ] =
PL(MC3(20,5,1,4,2,0,1),[10^10,20^5]).
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {100, 103}, {96, 101}, {99, 102}, {96, 104}, {96, 106}, {98,
110}, {99, 111}, {100, 107}, {97, 113}, {98, 115}, {97, 117}, {98, 119}, {99,
116}, {96, 120}, {100, 124}, {98, 123}, {99, 122}, {97, 125}, {100, 121}, {97,
126}, {94, 126}, {76, 109}, {91, 122}, {78, 108}, {84, 118}, {92, 127}, {94,
125}, {84, 112}, {93, 121}, {76, 105}, {90, 124}, {92, 123}, {88, 112}, {95,
119}, {90, 114}, {89, 113}, {89, 117}, {88, 118}, {80, 127}, {92, 115}, {91,
116}, {87, 120}, {95, 110}, {86, 101}, {90, 108}, {93, 107}, {88, 111}, {86,
109}, {78, 114}, {86, 106}, {90, 103}, {88, 102}, {86, 105}, {87, 104}, {14,
110}, {6, 103}, {7, 101}, {8, 106}, {10, 105}, {8, 108}, {22, 114}, {14, 106},
{14, 107}, {14, 102}, {6, 111}, {15, 101}, {3, 104}, {27, 112}, {5, 104}, {8,
102}, {10, 123}, {4, 118}, {7, 117}, {24, 107}, {7, 115}, {12, 120}, {11, 127},
{1, 116}, {2, 119}, {1, 119}, {24, 110}, {17, 103}, {2, 116}, {6, 113}, {13,
122}, {10, 125}, {3, 123}, {20, 108}, {13, 117}, {10, 114}, {4, 124}, {3, 121},
{4, 126}, {4, 127}, {5, 121}, {17, 109}, {15, 115}, {1, 124}, {12, 113}, {11,
118}, {7, 122}, {3, 125}, {17, 111}, {6, 120}, {1, 126}, {22, 105}, {18, 109},
{15, 112}, {20, 148}, {36, 164}, {67, 195}, {8, 137}, {43, 170}, {41, 168}, {35,
162}, {69, 196}, {55, 181}, {61, 191}, {29, 158}, {44, 175}, {36, 167}, {51,
176}, {31, 155}, {50, 182}, {20, 145}, {41, 172}, {27, 158}, {49, 180}, {51,
182}, {65, 196}, {67, 198}, {35, 165}, {39, 161}, {50, 180}, {69, 194}, {35,
171}, {38, 174}, {13, 132}, {19, 154}, {15, 134}, {48, 185}, {61, 180}, {63,
182}, {23, 157}, {5, 142}, {75, 192}, {47, 164}, {37, 174}, {25, 146}, {52,
191}, {39, 171}, {75, 199}, {53, 185}, {54, 186}, {61, 177}, {36, 169}, {12,
130}, {75, 197}, {49, 191}, {59, 181}, {32, 175}, {79, 192}, {34, 173}, {53,
186}, {63, 176}, {71, 200}, {27, 139}, {42, 186}, {38, 182}, {31, 143}, {60,
172}, {2, 144}, {38, 180}, {34, 176}, {51, 161}, {54, 164}, {56, 170}, {58,
168}, {61, 175}, {34, 177}, {81, 194}, {2, 150}, {16, 133}, {44, 185}, {59,
174}, {62, 171}, {11, 157}, {37, 179}, {29, 139}, {16, 135}, {40, 191}, {34,
181}, {54, 161}, {18, 138}, {26, 130}, {9, 144}, {17, 138}, {46, 181}, {32,
187}, {58, 161}, {60, 167}, {18, 143}, {27, 134}, {25, 132}, {24, 133}, {20,
137}, {19, 142}, {46, 176}, {58, 164}, {5, 154}, {24, 135}, {13, 146}, {9, 150},
{56, 152}, {60, 156}, {28, 189}, {58, 155}, {62, 159}, {30, 188}, {49, 147},
{46, 141}, {48, 147}, {21, 177}, {44, 136}, {41, 141}, {49, 149}, {30, 184},
{39, 129}, {21, 178}, {47, 136}, {43, 140}, {26, 189}, {11, 163}, {40, 128},
{19, 187}, {16, 184}, {62, 151}, {25, 179}, {41, 131}, {21, 190}, {28, 183},
{55, 156}, {12, 160}, {16, 188}, {48, 156}, {26, 183}, {50, 159}, {56, 149},
{47, 128}, {60, 147}, {23, 167}, {47, 159}, {43, 155}, {33, 145}, {29, 172},
{57, 136}, {51, 129}, {62, 140}, {22, 165}, {18, 166}, {45, 153}, {23, 163},
{22, 162}, {52, 128}, {29, 168}, {33, 148}, {31, 170}, {52, 129}, {56, 141},
{33, 151}, {53, 131}, {9, 190}, {43, 156}, {52, 131}, {21, 173}, {45, 149}, {33,
153}, {48, 136}, {53, 141}, {31, 166}, {57, 128}, {26, 160}, {45, 151}, {9,
178}, {46, 149}, {36, 159}, {35, 152}, {55, 140}, {23, 169}, {45, 147}, {50,
140}, {39, 152}, {64, 129}, {83, 146}, {81, 144}, {78, 143}, {64, 131}, {85,
150}, {74, 143}, {95, 154}, {84, 145}, {76, 139}, {66, 139}, {83, 154}, {77,
132}, {77, 135}, {79, 133}, {79, 130}, {95, 146}, {93, 144}, {80, 158}, {89,
150}, {87, 135}, {19, 194}, {78, 157}, {87, 132}, {82, 134}, {94, 138}, {92,
137}, {66, 148}, {74, 157}, {89, 142}, {28, 196}, {94, 134}, {82, 138}, {76,
148}, {30, 198}, {25, 192}, {91, 130}, {80, 137}, {64, 153}, {72, 145}, {66,
152}, {68, 158}, {28, 199}, {85, 142}, {30, 197}, {68, 153}, {74, 151}, {70,
155}, {91, 133}, {68, 165}, {74, 171}, {32, 194}, {85, 183}, {44, 200}, {70,
162}, {72, 172}, {37, 192}, {38, 195}, {70, 163}, {37, 195}, {85, 179}, {73,
175}, {32, 200}, {66, 170}, {69, 173}, {64, 169}, {71, 174}, {42, 193}, {83,
184}, {40, 196}, {42, 198}, {65, 173}, {68, 169}, {83, 190}, {81, 188}, {70,
168}, {72, 166}, {40, 199}, {42, 197}, {72, 167}, {77, 189}, {82, 162}, {81,
160}, {82, 163}, {84, 166}, {59, 200}, {80, 165}, {55, 193}, {77, 187}, {54,
193}, {63, 199}, {73, 177}, {65, 185}, {67, 187}, {69, 188}, {75, 178}, {71,
190}, {57, 195}, {73, 179}, {59, 193}, {63, 197}, {65, 186}, {79, 178}, {93,
160}, {67, 189}, {73, 183}, {57, 198}, {71, 184} }>;
(II) A more general form is to represent the graph as the orbit of {100, 103}
under the group generated by the following permutations:
a: (1, 3)(2, 5)(4, 10)(6, 7)(9, 19)(11, 22)(12, 13)(15, 17)(18, 27)(21, 32)(23,
35)(25, 26)(28, 37)(29, 31)(34, 44)(36, 39)(38, 40)(41, 43)(46, 48)(47, 51)(50,
52)(53, 55)(56, 60)(57, 63)(59, 65)(62, 64)(66, 72)(67, 75)(68, 74)(69, 71)(76,
84)(77, 79)(78, 80)(81, 83)(86, 88)(87, 91)(90, 92)(93, 95)(96, 99)(98,
100)(101, 111)(102, 106)(103, 115)(104, 116)(105, 118)(107, 110)(108, 137)(109,
112)(113, 117)(114, 127)(119, 121)(120, 122)(123, 124)(125, 126)(128, 182)(129,
159)(130, 132)(131, 140)(133, 135)(134, 138)(136, 176)(139, 166)(141, 156)(142,
150)(143, 158)(144, 154)(145, 148)(146, 160)(147, 149)(151, 153)(152, 167)(155,
168)(157, 165)(161, 164)(162, 163)(169, 171)(170, 172)(173, 200)(174, 196)(175,
177)(178, 187)(179, 183)(180, 191)(181, 185)(184, 188)(186, 193)(189, 192)(190,
194)(195, 199)(197, 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: (2, 4)(3, 7, 6, 14)(5, 15, 12, 8)(9, 11)(10, 13, 17, 24)(16, 22, 25, 18)(19,
27, 26, 20)(21, 23)(28, 33, 32, 29)(30, 35, 37, 31)(34, 36)(38, 43, 42, 39)(40,
45, 44, 41)(46, 47)(48, 53, 52, 49)(50, 55, 54, 51)(56, 57)(58, 63, 62, 59)(60,
65, 64, 61)(66, 67)(68, 73, 72, 69)(70, 75, 74, 71)(76, 77)(78, 83, 82, 79)(80,
85, 84, 81)(86, 87)(88, 93, 92, 89)(90, 95, 94, 91)(97, 99, 100, 98)(101, 120,
106, 104)(102, 121, 115, 113)(103, 110, 125, 122)(105, 132, 109, 135)(107, 123,
117, 111)(108, 154, 134, 130)(112, 160, 137, 142)(114, 146, 138, 133)(116, 124,
119, 126)(118, 144, 127, 150)(128, 149, 136, 141)(129, 180, 156, 186)(131, 191,
147, 185)(139, 189, 148, 187)(140, 193, 161, 182)(143, 184, 162, 192)(145, 194,
158, 183)(151, 200, 168, 199)(152, 195, 170, 198)(153, 175, 172, 196)(155, 197,
171, 174)(157, 190, 163, 178)(159, 181, 164, 176)(165, 179, 166, 188)(167, 173,
169, 177)
c: (3, 6)(5, 12)(7, 14)(8, 15)(10, 17)(13, 24)(16, 25)(18, 22)(19, 26)(20,
27)(28, 32)(29, 33)(30, 37)(31, 35)(38, 42)(39, 43)(40, 44)(41, 45)(48, 52)(49,
53)(50, 54)(51, 55)(58, 62)(59, 63)(60, 64)(61, 65)(68, 72)(69, 73)(70, 74)(71,
75)(78, 82)(79, 83)(80, 84)(81, 85)(88, 92)(89, 93)(90, 94)(91, 95)(97, 100)(98,
99)(101, 106)(102, 115)(103, 125)(104, 120)(105, 109)(107, 117)(108, 134)(110,
122)(111, 123)(112, 137)(113, 121)(114, 138)(116, 119)(118, 127)(124, 126)(128,
136)(129, 156)(130, 154)(131, 147)(132, 135)(133, 146)(139, 148)(140, 161)(141,
149)(142, 160)(143, 162)(144, 150)(145, 158)(151, 168)(152, 170)(153, 172)(155,
171)(157, 163)(159, 164)(165, 166)(167, 169)(173, 177)(174, 197)(175, 196)(176,
181)(178, 190)(179, 188)(180, 186)(182, 193)(183, 194)(184, 192)(185, 191)(187,
189)(195, 198)(199, 200)
d: (1, 2, 9, 21, 34, 46, 56, 66, 76, 86, 96, 87, 77, 67, 57, 47, 36, 23, 11,
4)(3, 13, 26, 30, 44, 50, 64, 70, 84, 90, 98, 89, 79, 69, 59, 49, 39, 29, 18,
8)(5, 25, 28, 42, 48, 62, 68, 82, 88, 100, 95, 85, 75, 65, 55, 45, 35, 27, 17,
14)(6, 24, 19, 37, 40, 54, 60, 74, 80, 94, 99, 93, 83, 73, 63, 53, 43, 33, 22,
15)(7, 12, 16, 32, 38, 52, 58, 72, 78, 92, 97, 91, 81, 71, 61, 51, 41, 31, 20,
10)(101, 120, 135, 187, 195, 128, 164, 167, 157, 127, 126, 116, 144, 190, 177,
176, 141, 170, 148, 105)(102, 121, 146, 183, 197, 185, 140, 153, 162, 112, 103,
110, 142, 192, 196, 193, 147, 171, 158, 138)(104, 132, 189, 198, 136, 159, 169,
163, 118, 124, 119, 150, 178, 173, 181, 149, 152, 139, 109, 106)(107, 154, 179,
199, 186, 156, 151, 165, 134, 111)(108, 123, 117, 130, 188, 200, 180, 129, 168,
166)(113, 133, 194, 174, 191, 161, 172, 143, 137, 125, 122, 160, 184, 175, 182,
131, 155, 145, 114, 115)
C4[ 200, 21 ]
200
-1 124 126 116 119
-2 144 116 150 119
-3 121 123 125 104
-4 124 126 127 118
-5 121 154 104 142
-6 111 113 103 120
-7 122 101 115 117
-8 102 137 106 108
-9 144 178 190 150
-10 123 114 125 105
-11 157 127 118 163
-12 113 160 130 120
-13 132 122 146 117
-14 110 102 106 107
-15 101 112 134 115
-16 133 188 135 184
-17 111 103 138 109
-18 143 166 138 109
-19 154 187 194 142
-20 145 137 148 108
-21 177 178 190 173
-22 165 114 105 162
-23 167 157 169 163
-24 110 133 135 107
-25 132 146 179 192
-26 189 160 183 130
-27 112 134 158 139
-28 199 189 183 196
-29 168 158 139 172
-30 198 188 184 197
-31 143 155 166 170
-32 187 200 194 175
-33 145 148 151 153
-34 176 177 181 173
-35 165 171 162 152
-36 167 169 159 164
-37 179 192 195 174
-38 180 182 195 174
-39 171 161 129 152
-40 199 191 128 196
-41 168 172 141 131
-42 198 193 186 197
-43 155 156 170 140
-44 200 136 185 175
-45 147 149 151 153
-46 176 181 149 141
-47 136 159 128 164
-48 156 136 147 185
-49 147 180 191 149
-50 180 159 182 140
-51 176 182 161 129
-52 191 128 129 131
-53 141 185 131 186
-54 193 161 164 186
-55 156 181 193 140
-56 170 149 141 152
-57 198 136 128 195
-58 155 168 161 164
-59 200 181 193 174
-60 156 167 147 172
-61 177 180 191 175
-62 159 171 140 151
-63 176 199 182 197
-64 169 129 131 153
-65 173 185 196 186
-66 148 170 139 152
-67 187 198 189 195
-68 165 158 169 153
-69 188 194 173 196
-70 155 168 162 163
-71 200 190 184 174
-72 166 145 167 172
-73 177 179 183 175
-74 143 157 171 151
-75 199 178 192 197
-76 148 105 139 109
-77 132 187 189 135
-78 143 157 114 108
-79 133 178 192 130
-80 165 158 137 127
-81 144 188 160 194
-82 134 138 162 163
-83 154 146 190 184
-84 166 112 145 118
-85 179 150 183 142
-86 101 105 106 109
-87 132 135 104 120
-88 111 112 102 118
-89 113 117 150 142
-90 124 103 114 108
-91 122 133 116 130
-92 123 115 137 127
-93 121 144 160 107
-94 134 125 126 138
-95 110 154 146 119
-96 101 104 106 120
-97 113 125 126 117
-98 110 123 115 119
-99 111 122 102 116
-100 121 124 103 107
-101 15 7 96 86
-102 88 99 14 8
-103 100 90 6 17
-104 3 5 96 87
-105 22 86 10 76
-106 14 8 96 86
-107 100 24 14 93
-108 78 90 8 20
-109 17 18 86 76
-110 24 14 95 98
-111 88 99 6 17
-112 88 15 27 84
-113 12 89 6 97
-114 22 78 90 10
-115 15 92 7 98
-116 99 1 2 91
-117 89 13 7 97
-118 11 88 4 84
-119 1 2 95 98
-120 12 6 96 87
-121 100 3 5 93
-122 99 13 91 7
-123 3 92 10 98
-124 1 100 90 4
-125 3 94 97 10
-126 1 4 94 97
-127 11 80 4 92
-128 57 47 40 52
-129 39 51 52 64
-130 12 79 91 26
-131 41 52 53 64
-132 77 13 25 87
-133 24 79 91 16
-134 15 27 82 94
-135 77 24 16 87
-136 44 57 47 48
-137 80 92 8 20
-138 82 17 94 18
-139 66 27 29 76
-140 55 50 62 43
-141 56 46 41 53
-142 89 5 19 85
-143 78 18 74 31
-144 2 81 93 9
-145 33 72 84 20
-146 13 25 83 95
-147 45 48 49 60
-148 33 66 20 76
-149 45 56 46 49
-150 89 2 85 9
-151 33 45 62 74
-152 66 56 35 39
-153 33 45 68 64
-154 5 83 95 19
-155 58 70 31 43
-156 55 48 60 43
-157 11 23 78 74
-158 68 80 27 29
-159 36 47 50 62
-160 12 26 81 93
-161 58 39 51 54
-162 22 35 70 82
-163 11 23 70 82
-164 36 47 58 54
-165 22 35 68 80
-166 72 18 84 31
-167 23 36 60 72
-168 58 70 29 41
-169 23 68 36 64
-170 66 56 31 43
-171 35 39 62 74
-172 60 72 29 41
-173 34 69 21 65
-174 37 59 38 71
-175 44 61 73 32
-176 34 46 51 63
-177 34 61 73 21
-178 79 9 75 21
-179 25 37 73 85
-180 38 49 50 61
-181 55 34 46 59
-182 38 50 51 63
-183 26 28 73 85
-184 16 71 83 30
-185 44 48 53 65
-186 42 53 54 65
-187 77 67 19 32
-188 69 81 16 30
-189 77 67 26 28
-190 71 83 9 21
-191 49 61 40 52
-192 79 25 37 75
-193 55 59 42 54
-194 69 81 19 32
-195 67 57 37 38
-196 69 28 40 65
-197 30 63 42 75
-198 67 57 30 42
-199 28 40 63 75
-200 44 59 71 32
0