Graph forms
for C4 [ 192, 147 ] = PL(CS(R_12(5,10)[12^4],1))
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On this page are computer-accessible forms for the graph C4[ 192, 147 ] =
PL(CS(R_12(5,10)[12^4],1)).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {90, 123}, {89, 123}, {89, 124}, {90, 124}, {80, 121}, {79, 121},
{45, 109}, {61, 125}, {62, 126}, {42, 107}, {45, 108}, {41, 107}, {46, 108},
{46, 109}, {61, 126}, {62, 125}, {41, 108}, {42, 108}, {33, 105}, {50, 122},
{48, 120}, {34, 106}, {54, 126}, {50, 123}, {54, 127}, {49, 123}, {53, 127},
{33, 106}, {53, 126}, {49, 122}, {34, 105}, {38, 106}, {38, 107}, {37, 107},
{47, 97}, {37, 106}, {39, 119}, {36, 117}, {48, 97}, {39, 118}, {36, 118}, {43,
120}, {32, 116}, {44, 120}, {32, 117}, {35, 118}, {35, 117}, {47, 120}, {44,
119}, {43, 119}, {40, 118}, {40, 119}, {1, 97}, {16, 112}, {2, 98}, {16, 113},
{19, 114}, {19, 113}, {1, 98}, {12, 111}, {2, 97}, {6, 98}, {27, 127}, {23,
115}, {11, 111}, {6, 99}, {26, 127}, {23, 114}, {20, 113}, {5, 99}, {20, 114},
{8, 110}, {5, 98}, {8, 111}, {7, 111}, {28, 116}, {27, 115}, {13, 101}, {4,
109}, {13, 100}, {10, 99}, {7, 110}, {4, 110}, {31, 117}, {24, 114}, {14, 100},
{9, 99}, {14, 101}, {31, 116}, {24, 115}, {3, 110}, {9, 100}, {3, 109}, {10,
100}, {27, 116}, {28, 115}, {22, 102}, {22, 103}, {25, 104}, {14, 124}, {26,
104}, {21, 103}, {15, 125}, {14, 125}, {21, 102}, {15, 124}, {17, 101}, {29,
105}, {18, 102}, {29, 104}, {30, 104}, {17, 102}, {30, 105}, {18, 101}, {2,
122}, {3, 122}, {3, 121}, {2, 121}, {11, 112}, {12, 112}, {26, 103}, {15, 113},
{25, 103}, {15, 112}, {4, 133}, {4, 134}, {32, 163}, {52, 183}, {1, 133}, {32,
164}, {13, 137}, {13, 136}, {18, 148}, {49, 183}, {30, 152}, {19, 149}, {61,
187}, {1, 134}, {31, 152}, {19, 148}, {18, 149}, {61, 186}, {31, 151}, {30,
151}, {49, 184}, {44, 166}, {60, 182}, {44, 167}, {60, 183}, {35, 175}, {52,
184}, {34, 175}, {41, 167}, {48, 190}, {57, 183}, {41, 166}, {48, 191}, {57,
182}, {28, 140}, {58, 170}, {59, 171}, {62, 174}, {63, 175}, {58, 171}, {59,
170}, {62, 175}, {63, 174}, {25, 139}, {45, 191}, {34, 176}, {35, 176}, {45,
190}, {6, 146}, {7, 146}, {85, 192}, {25, 140}, {8, 157}, {7, 145}, {8, 158},
{6, 145}, {28, 139}, {5, 157}, {88, 192}, {51, 171}, {36, 188}, {16, 136}, {59,
163}, {16, 137}, {50, 171}, {59, 162}, {26, 128}, {33, 187}, {5, 158}, {27,
128}, {46, 178}, {47, 179}, {33, 188}, {93, 192}, {47, 178}, {46, 179}, {50,
172}, {60, 162}, {36, 187}, {51, 172}, {60, 163}, {10, 170}, {96, 192}, {24,
184}, {11, 170}, {24, 185}, {11, 169}, {10, 169}, {38, 130}, {39, 131}, {54,
146}, {55, 147}, {38, 131}, {39, 130}, {54, 147}, {55, 146}, {40, 142}, {56,
158}, {40, 143}, {56, 159}, {37, 143}, {53, 159}, {37, 142}, {53, 158}, {21,
185}, {58, 150}, {21, 184}, {58, 151}, {57, 151}, {57, 150}, {17, 161}, {43,
155}, {42, 154}, {17, 160}, {43, 154}, {42, 155}, {52, 134}, {56, 138}, {52,
135}, {56, 139}, {20, 160}, {51, 135}, {20, 161}, {51, 134}, {63, 138}, {63,
137}, {12, 181}, {29, 164}, {12, 182}, {23, 173}, {22, 172}, {22, 173}, {23,
172}, {9, 181}, {55, 139}, {55, 138}, {29, 163}, {9, 182}, {65, 129}, {96, 160},
{95, 159}, {91, 155}, {66, 130}, {76, 140}, {80, 144}, {76, 141}, {90, 155},
{83, 145}, {65, 130}, {66, 129}, {84, 145}, {75, 141}, {90, 156}, {75, 140},
{91, 156}, {87, 144}, {73, 129}, {88, 144}, {77, 133}, {64, 137}, {93, 148},
{68, 141}, {73, 128}, {77, 132}, {64, 138}, {94, 148}, {68, 142}, {74, 128},
{78, 132}, {74, 129}, {78, 133}, {81, 157}, {67, 142}, {94, 147}, {81, 156},
{67, 141}, {93, 147}, {82, 156}, {82, 157}, {85, 132}, {86, 132}, {91, 136},
{66, 150}, {92, 136}, {67, 150}, {86, 131}, {67, 149}, {78, 152}, {79, 153},
{85, 131}, {66, 149}, {88, 143}, {78, 153}, {79, 152}, {87, 143}, {92, 135},
{69, 153}, {91, 135}, {70, 154}, {69, 154}, {96, 191}, {70, 153}, {79, 144},
{65, 161}, {71, 166}, {71, 165}, {93, 191}, {87, 181}, {86, 180}, {82, 176},
{83, 177}, {65, 162}, {87, 180}, {86, 181}, {82, 177}, {83, 176}, {68, 161},
{68, 162}, {70, 174}, {77, 165}, {84, 188}, {71, 174}, {77, 164}, {84, 189},
{71, 173}, {94, 180}, {70, 173}, {95, 180}, {81, 189}, {95, 179}, {72, 165},
{94, 179}, {81, 188}, {72, 166}, {72, 185}, {89, 168}, {88, 169}, {76, 189},
{72, 186}, {76, 190}, {73, 189}, {92, 168}, {80, 164}, {80, 165}, {73, 190},
{74, 178}, {75, 178}, {64, 186}, {75, 177}, {64, 187}, {92, 167}, {74, 177},
{83, 168}, {69, 185}, {84, 168}, {85, 169}, {89, 167}, {69, 186}, {96, 159},
{95, 160} }>;
(II) A more general form is to represent the graph as the orbit of {90, 123}
under the group generated by the following permutations:
a: (1, 2)(3, 4)(13, 14)(15, 16)(25, 26)(27, 28)(37, 38)(39, 40)(49, 52)(50,
51)(53, 56)(54, 55)(61, 64)(62, 63)(65, 68)(66, 67)(73, 76)(74, 75)(77, 80)(78,
79)(85, 88)(86, 87)(89, 92)(90, 91)(121, 133)(122, 134)(123, 135)(124, 136)(125,
137)(126, 138)(127, 139)(128, 140)(129, 141)(130, 142)(131, 143)(132, 144) (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)(5, 52)(6, 51)(7, 50)(8, 49)(9, 91)(10, 92)(11, 89)(12, 90)(14, 16)(17,
64)(18, 63)(19, 62)(20, 61)(21, 56)(22, 55)(23, 54)(24, 53)(26, 28)(29, 76)(30,
75)(31, 74)(32, 73)(33, 68)(34, 67)(35, 66)(36, 65)(38, 40)(41, 88)(42, 87)(43,
86)(44, 85)(45, 80)(46, 79)(47, 78)(48, 77)(57, 82)(58, 83)(59, 84)(60, 81)(69,
95)(70, 94)(71, 93)(72, 96)(97, 133)(98, 134)(99, 135)(100, 136)(101, 137)(102,
138)(103, 139)(104, 140)(105, 141)(106, 142)(107, 143)(108, 144)(109, 121)(110,
122)(111, 123)(112, 124)(113, 125)(114, 126)(115, 127)(116, 128)(117, 129)(118,
130)(119, 131)(120, 132)(145, 171)(146, 172)(147, 173)(148, 174)(149, 175)(150,
176)(151, 177)(152, 178)(153, 179)(154, 180)(155, 181)(156, 182)(157, 183)(158,
184)(159, 185)(160, 186)(161, 187)(162, 188)(163, 189)(164, 190)(165, 191)(166,
192)(167, 169)(168, 170)
c: (1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 3, 7, 11, 15, 19, 23, 27, 31,
35, 39, 43, 47)(2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 4, 8, 12, 16, 20,
24, 28, 32, 36, 40, 44, 48)(49, 55, 59, 61, 67, 71, 73, 79, 83, 85, 90, 94, 51,
53, 57, 63, 65, 69, 75, 77, 81, 87, 92, 96)(50, 54, 58, 62, 66, 70, 74, 78, 82,
86, 91, 95, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 89, 93)(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, 145, 169, 124, 148, 172, 127, 151, 175, 130, 154, 178,
133, 157, 181, 136, 160, 184, 139, 163, 187, 142, 166, 190)(122, 146, 170, 125,
149, 173, 128, 152, 176, 131, 155, 179, 134, 158, 182, 137, 161, 185, 140, 164,
188, 143, 167, 191)(123, 147, 171, 126, 150, 174, 129, 153, 177, 132, 156, 180,
135, 159, 183, 138, 162, 186, 141, 165, 189, 144, 168, 192)
d: (5, 6)(7, 8)(17, 18)(19, 20)(29, 30)(31, 32)(41, 42)(43, 44)(53, 54)(55,
56)(57, 60)(58, 59)(65, 66)(67, 68)(69, 72)(70, 71)(77, 78)(79, 80)(81, 84)(82,
83)(89, 90)(91, 92)(93, 96)(94, 95)(145, 157)(146, 158)(147, 159)(148, 160)(149,
161)(150, 162)(151, 163)(152, 164)(153, 165)(154, 166)(155, 167)(156, 168)
e: (2, 4)(5, 77)(6, 78)(7, 79)(8, 80)(9, 85)(10, 86)(11, 87)(12, 88)(13, 39)(14,
38)(15, 37)(16, 40)(17, 65)(18, 66)(19, 67)(20, 68)(21, 73)(22, 74)(23, 75)(24,
76)(25, 27)(29, 53)(30, 54)(31, 55)(32, 56)(33, 61)(34, 62)(35, 63)(36, 64)(41,
90)(42, 89)(43, 92)(44, 91)(45, 49)(46, 50)(47, 51)(48, 52)(57, 93)(58, 94)(59,
95)(60, 96)(69, 84)(70, 83)(71, 82)(72, 81)(97, 134)(98, 133)(99, 132)(100,
131)(101, 130)(102, 129)(103, 128)(104, 127)(105, 126)(106, 125)(107, 124)(108,
123)(109, 122)(110, 121)(111, 144)(112, 143)(113, 142)(114, 141)(115, 140)(116,
139)(117, 138)(118, 137)(119, 136)(120, 135)(145, 153)(146, 152)(147, 151)(148,
150)(154, 168)(155, 167)(156, 166)(157, 165)(158, 164)(159, 163)(160, 162)(169,
181)(170, 180)(171, 179)(172, 178)(173, 177)(174, 176)(182, 192)(183, 191)(184,
190)(185, 189)(186, 188)
f: (9, 10)(11, 12)(21, 22)(23, 24)(33, 34)(35, 36)(45, 46)(47, 48)(49, 50)(51,
52)(57, 58)(59, 60)(61, 62)(63, 64)(69, 70)(71, 72)(73, 74)(75, 76)(81, 82)(83,
84)(85, 86)(87, 88)(93, 94)(95, 96)(169, 181)(170, 182)(171, 183)(172, 184)(173,
185)(174, 186)(175, 187)(176, 188)(177, 189)(178, 190)(179, 191)(180, 192)
C4[ 192, 147 ]
192
-1 133 134 97 98
-2 121 122 97 98
-3 110 121 122 109
-4 110 133 134 109
-5 99 157 158 98
-6 99 145 146 98
-7 110 111 145 146
-8 110 111 157 158
-9 99 100 181 182
-10 99 100 169 170
-11 111 112 169 170
-12 111 112 181 182
-13 100 101 136 137
-14 100 101 124 125
-15 112 113 124 125
-16 112 113 136 137
-17 101 102 160 161
-18 101 102 148 149
-19 113 114 148 149
-20 113 114 160 161
-21 102 103 184 185
-22 102 103 172 173
-23 114 115 172 173
-24 114 115 184 185
-25 103 104 139 140
-26 103 104 127 128
-27 115 116 127 128
-28 115 116 139 140
-29 104 105 163 164
-30 104 105 151 152
-31 116 117 151 152
-32 116 117 163 164
-33 187 188 105 106
-34 176 105 106 175
-35 176 117 118 175
-36 187 188 117 118
-37 143 106 107 142
-38 106 107 130 131
-39 118 119 130 131
-40 143 118 119 142
-41 166 167 107 108
-42 154 155 107 108
-43 154 155 119 120
-44 166 167 119 120
-45 190 191 108 109
-46 178 179 108 109
-47 178 179 97 120
-48 190 191 97 120
-49 122 123 183 184
-50 122 123 171 172
-51 134 135 171 172
-52 134 135 183 184
-53 158 126 159 127
-54 146 147 126 127
-55 146 147 138 139
-56 158 159 138 139
-57 182 150 183 151
-58 170 171 150 151
-59 170 171 162 163
-60 182 183 162 163
-61 187 125 126 186
-62 125 126 174 175
-63 137 138 174 175
-64 187 137 138 186
-65 161 129 162 130
-66 149 150 129 130
-67 149 150 141 142
-68 161 162 141 142
-69 154 185 153 186
-70 154 173 174 153
-71 165 166 173 174
-72 165 166 185 186
-73 189 190 128 129
-74 177 178 128 129
-75 177 178 140 141
-76 189 190 140 141
-77 132 165 133 164
-78 132 133 152 153
-79 121 144 152 153
-80 121 165 144 164
-81 188 156 189 157
-82 176 177 156 157
-83 176 177 145 168
-84 188 145 189 168
-85 132 169 192 131
-86 132 180 181 131
-87 143 144 180 181
-88 143 144 169 192
-89 123 167 124 168
-90 155 123 156 124
-91 155 156 135 136
-92 167 135 168 136
-93 147 191 148 192
-94 179 147 180 148
-95 179 180 159 160
-96 191 159 192 160
-97 1 2 47 48
-98 1 2 5 6
-99 5 6 9 10
-100 13 14 9 10
-101 13 14 17 18
-102 22 17 18 21
-103 22 25 26 21
-104 25 26 29 30
-105 33 34 29 30
-106 33 34 37 38
-107 37 38 41 42
-108 45 46 41 42
-109 45 46 3 4
-110 3 4 7 8
-111 11 12 7 8
-112 11 12 15 16
-113 15 16 19 20
-114 23 24 19 20
-115 23 24 27 28
-116 27 28 31 32
-117 35 36 31 32
-118 35 36 39 40
-119 44 39 40 43
-120 44 47 48 43
-121 2 79 3 80
-122 2 3 49 50
-123 89 90 49 50
-124 89 90 14 15
-125 14 15 61 62
-126 61 62 53 54
-127 26 27 53 54
-128 26 27 73 74
-129 66 73 74 65
-130 66 38 39 65
-131 38 39 85 86
-132 77 78 85 86
-133 77 1 78 4
-134 1 4 51 52
-135 91 92 51 52
-136 13 91 92 16
-137 13 16 63 64
-138 55 56 63 64
-139 55 56 25 28
-140 25 28 75 76
-141 67 68 75 76
-142 67 68 37 40
-143 88 37 40 87
-144 88 79 80 87
-145 6 83 7 84
-146 55 6 7 54
-147 55 93 94 54
-148 93 94 18 19
-149 66 67 18 19
-150 66 67 57 58
-151 57 58 30 31
-152 78 79 30 31
-153 78 79 69 70
-154 69 70 42 43
-155 90 91 42 43
-156 90 91 81 82
-157 81 5 82 8
-158 56 5 8 53
-159 56 95 96 53
-160 17 95 96 20
-161 68 17 20 65
-162 68 59 60 65
-163 59 60 29 32
-164 77 80 29 32
-165 77 80 71 72
-166 44 71 72 41
-167 44 89 92 41
-168 89 92 83 84
-169 11 88 85 10
-170 11 58 59 10
-171 58 59 50 51
-172 22 23 50 51
-173 22 23 70 71
-174 70 71 62 63
-175 34 35 62 63
-176 34 35 82 83
-177 82 83 74 75
-178 46 47 74 75
-179 46 47 94 95
-180 94 95 86 87
-181 12 9 86 87
-182 12 57 60 9
-183 57 49 60 52
-184 24 49 52 21
-185 24 69 72 21
-186 69 61 72 64
-187 33 36 61 64
-188 33 36 81 84
-189 81 73 84 76
-190 45 48 73 76
-191 45 48 93 96
-192 88 93 85 96
0