Graph forms
for C4 [ 192, 145 ] = PL(CS(R_12(11,4)[3^16],1))
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On this page are computer-accessible forms for the graph C4[ 192, 145 ] =
PL(CS(R_12(11,4)[3^16],1)).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {64, 115}, {72, 127}, {64, 120}, {71, 127}, {66, 123}, {65, 123},
{67, 121}, {68, 126}, {65, 124}, {67, 126}, {68, 121}, {66, 124}, {47, 108},
{45, 105}, {47, 107}, {45, 104}, {46, 104}, {46, 105}, {63, 120}, {61, 117},
{62, 118}, {57, 112}, {59, 114}, {58, 112}, {61, 118}, {62, 117}, {63, 115},
{60, 114}, {53, 100}, {55, 102}, {60, 109}, {54, 100}, {52, 103}, {51, 103},
{54, 99}, {58, 111}, {53, 99}, {55, 97}, {57, 111}, {59, 109}, {49, 105}, {50,
106}, {52, 108}, {56, 97}, {48, 107}, {49, 106}, {50, 105}, {48, 108}, {56,
102}, {51, 108}, {1, 97}, {4, 100}, {2, 98}, {4, 101}, {7, 102}, {7, 101}, {1,
98}, {2, 97}, {3, 103}, {10, 110}, {6, 98}, {2, 103}, {10, 111}, {6, 99}, {3,
101}, {9, 111}, {5, 99}, {3, 100}, {16, 119}, {9, 110}, {5, 98}, {6, 110}, {18,
122}, {16, 120}, {7, 110}, {20, 125}, {18, 123}, {1, 107}, {20, 126}, {17, 123},
{7, 109}, {2, 104}, {1, 106}, {17, 122}, {6, 109}, {3, 104}, {16, 124}, {19,
127}, {8, 101}, {19, 126}, {18, 127}, {16, 125}, {4, 106}, {19, 125}, {8, 102},
{4, 107}, {13, 125}, {13, 124}, {5, 113}, {14, 122}, {5, 112}, {15, 122}, {15,
121}, {14, 121}, {15, 120}, {8, 112}, {15, 119}, {13, 117}, {11, 115}, {8, 113},
{13, 116}, {11, 114}, {10, 115}, {11, 113}, {14, 116}, {12, 118}, {12, 119},
{14, 117}, {12, 113}, {9, 119}, {12, 114}, {10, 116}, {9, 118}, {11, 116}, {57,
185}, {57, 184}, {61, 191}, {62, 188}, {61, 190}, {63, 188}, {37, 161}, {60,
184}, {63, 187}, {37, 160}, {45, 168}, {60, 185}, {62, 187}, {53, 179}, {54,
176}, {53, 178}, {55, 176}, {29, 149}, {40, 160}, {43, 163}, {29, 148}, {40,
161}, {42, 163}, {43, 162}, {43, 161}, {44, 166}, {45, 167}, {46, 164}, {47,
165}, {56, 178}, {44, 167}, {46, 165}, {47, 164}, {56, 179}, {30, 146}, {58,
182}, {31, 146}, {44, 161}, {59, 182}, {77, 192}, {31, 145}, {41, 167}, {42,
164}, {44, 162}, {59, 181}, {30, 145}, {41, 166}, {31, 144}, {43, 164}, {58,
181}, {22, 134}, {80, 192}, {31, 143}, {29, 141}, {27, 139}, {24, 136}, {23,
134}, {29, 140}, {27, 138}, {26, 139}, {24, 137}, {17, 131}, {30, 140}, {28,
142}, {27, 137}, {23, 133}, {18, 128}, {17, 130}, {30, 141}, {28, 143}, {23,
132}, {22, 133}, {19, 128}, {21, 129}, {23, 131}, {21, 128}, {28, 137}, {20,
130}, {28, 138}, {26, 140}, {25, 143}, {22, 128}, {20, 131}, {27, 140}, {25,
142}, {22, 129}, {48, 167}, {48, 168}, {50, 170}, {52, 172}, {55, 175}, {51,
170}, {52, 173}, {54, 175}, {51, 169}, {24, 131}, {50, 169}, {21, 137}, {26,
134}, {24, 132}, {49, 173}, {21, 136}, {93, 192}, {26, 135}, {49, 172}, {25,
135}, {25, 134}, {96, 192}, {32, 143}, {32, 144}, {34, 146}, {34, 147}, {36,
149}, {33, 147}, {36, 150}, {33, 146}, {40, 155}, {32, 148}, {42, 158}, {40,
156}, {35, 151}, {32, 149}, {35, 150}, {34, 151}, {42, 159}, {35, 149}, {41,
159}, {41, 158}, {38, 158}, {39, 158}, {33, 155}, {39, 157}, {34, 152}, {33,
154}, {39, 156}, {38, 157}, {35, 152}, {37, 153}, {39, 155}, {37, 152}, {36,
154}, {38, 152}, {36, 155}, {38, 153}, {77, 141}, {87, 151}, {80, 144}, {78,
142}, {73, 136}, {92, 157}, {82, 147}, {75, 138}, {74, 136}, {84, 150}, {83,
145}, {81, 147}, {71, 132}, {96, 163}, {77, 142}, {78, 141}, {69, 129}, {88,
156}, {79, 139}, {70, 130}, {81, 148}, {90, 159}, {84, 145}, {83, 150}, {76,
138}, {91, 157}, {89, 159}, {82, 148}, {69, 130}, {70, 129}, {96, 168}, {76,
133}, {87, 156}, {72, 132}, {86, 154}, {85, 153}, {74, 135}, {73, 135}, {75,
133}, {85, 154}, {88, 151}, {86, 153}, {80, 139}, {96, 187}, {79, 144}, {94,
190}, {85, 180}, {95, 190}, {90, 184}, {95, 189}, {89, 186}, {94, 189}, {91,
184}, {86, 178}, {87, 178}, {87, 177}, {93, 187}, {92, 186}, {86, 177}, {66,
170}, {67, 171}, {66, 171}, {92, 181}, {67, 170}, {68, 173}, {68, 174}, {65,
173}, {91, 183}, {89, 181}, {88, 180}, {90, 183}, {65, 174}, {80, 191}, {73,
185}, {69, 180}, {77, 191}, {79, 189}, {78, 188}, {73, 186}, {79, 188}, {78,
189}, {76, 185}, {69, 179}, {70, 176}, {71, 177}, {76, 186}, {70, 177}, {95,
168}, {88, 175}, {71, 176}, {81, 169}, {94, 166}, {93, 165}, {83, 171}, {82,
171}, {91, 162}, {89, 160}, {84, 174}, {90, 160}, {85, 175}, {72, 179}, {94,
165}, {93, 166}, {72, 180}, {95, 163}, {74, 182}, {75, 183}, {74, 183}, {84,
169}, {75, 182}, {64, 190}, {92, 162}, {82, 172}, {64, 191}, {83, 172}, {81,
174} }>;
(II) A more general form is to represent the graph as the orbit of {64, 115}
under the group generated by the following permutations:
a: (5, 6)(7, 8)(9, 12)(10, 11)(57, 60)(58, 59)(109, 112)(110, 113)(111, 114) (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)(45, 48)(46, 47)(49, 52)(50, 51)(103, 106)(104, 107)(105,
108)
c: (13, 14)(15, 16)(17, 20)(18, 19)(65, 68)(66, 67)(121, 124)(122, 125)(123,
126)
d: (29, 30)(31, 32)(33, 36)(34, 35)(81, 84)(82, 83)(145, 148)(146, 149)(147,
150)
e: (9, 10)(11, 12)(13, 15)(14, 16)(17, 20)(18, 19)(61, 64)(62, 63)(65, 68)(66,
67)(115, 118)(116, 119)(117, 120)(121, 124)(122, 125)(123, 126)
f: (17, 18)(19, 20)(21, 23)(22, 24)(25, 28)(26, 27)(69, 72)(70, 71)(73, 76)(74,
75)(127, 130)(128, 131)(129, 132)(133, 136)(134, 137)(135, 138)
g: (49, 50)(51, 52)(65, 66)(67, 68)(81, 82)(83, 84)(169, 172)(170, 173)(171,
174)
h: (53, 54)(55, 56)(69, 70)(71, 72)(85, 86)(87, 88)(175, 178)(176, 179)(177,
180)
m: (37, 38)(39, 40)(41, 44)(42, 43)(89, 92)(90, 91)(157, 160)(158, 161)(159,
162)
n1: (41, 42)(43, 44)(45, 46)(47, 48)(93, 96)(94, 95)(163, 166)(164, 167)(165,
168)
a1: (5, 55)(6, 56)(7, 53)(8, 54)(9, 87)(10, 86)(11, 85)(12, 88)(13, 37)(14,
38)(15, 39)(16, 40)(17, 91, 18, 92)(19, 89, 20, 90)(21, 73, 24, 74)(22, 76, 23,
75)(25, 27)(26, 28)(29, 77)(30, 78)(31, 79)(32, 80)(33, 63)(34, 62)(35, 61)(36,
64)(41, 68)(42, 67)(43, 66)(44, 65)(45, 52)(46, 51)(47, 50)(48, 49)(57, 71, 58,
70)(59, 69, 60, 72)(81, 93)(82, 96)(83, 95)(84, 94)(97, 98)(99, 102)(100,
101)(103, 104)(105, 108)(106, 107)(109, 179)(110, 178)(111, 177)(112, 176)(113,
175)(114, 180)(115, 154)(116, 153)(117, 152)(118, 151)(119, 156)(120, 155)(121,
158)(122, 157)(123, 162)(124, 161)(125, 160)(126, 159)(127, 181, 130, 184)(128,
186, 131, 183)(129, 185, 132, 182)(134, 138)(135, 137)(139, 143)(140, 142)(145,
189)(146, 188)(147, 187)(148, 192)(149, 191)(150, 190)(163, 171)(164, 170)(165,
169)(166, 174)(167, 173)(168, 172)
b1: (2, 4)(5, 48)(6, 47)(7, 46)(8, 45)(9, 42)(10, 43)(11, 44)(12, 41)(13,
37)(14, 40)(15, 39)(16, 38)(17, 33, 18, 36)(19, 35, 20, 34)(21, 29, 24, 30)(22,
32, 23, 31)(26, 28)(49, 55)(50, 56)(51, 53)(52, 54)(57, 96)(58, 95)(59, 94)(60,
93)(61, 89)(62, 90)(63, 91)(64, 92)(65, 85)(66, 86)(67, 87)(68, 88)(69, 81, 72,
84)(70, 82, 71, 83)(73, 77)(74, 78)(75, 79)(76, 80)(97, 106)(98, 107)(99,
108)(100, 103)(101, 104)(102, 105)(109, 165)(110, 164)(111, 163)(112, 168)(113,
167)(114, 166)(115, 162)(116, 161)(117, 160)(118, 159)(119, 158)(120, 157)(121,
156)(122, 155)(123, 154)(124, 153)(125, 152)(126, 151)(127, 150, 130, 147)(128,
149, 131, 146)(129, 148, 132, 145)(133, 144)(134, 143)(135, 142)(136, 141)(137,
140)(138, 139)(169, 179)(170, 178)(171, 177)(172, 176)(173, 175)(174, 180)(181,
190)(182, 189)(183, 188)(184, 187)(185, 192)(186, 191)
c1: (25, 26)(27, 28)(29, 32)(30, 31)(61, 62)(63, 64)(77, 79)(78, 80)(93, 94)(95,
96)(139, 142)(140, 143)(141, 144)(187, 190)(188, 191)(189, 192)
d1: (21, 22)(23, 24)(25, 28)(26, 27)(73, 76)(74, 75)(133, 136)(134, 137)(135,
138)
e1: (61, 62)(63, 64)(77, 78)(79, 80)(93, 94)(95, 96)(187, 190)(188, 191)(189,
192)
f1: (33, 34)(35, 36)(37, 39)(38, 40)(41, 44)(42, 43)(85, 88)(86, 87)(89, 92)(90,
91)(151, 154)(152, 155)(153, 156)(157, 160)(158, 161)(159, 162)
g1: (57, 58)(59, 60)(73, 74)(75, 76)(89, 90)(91, 92)(181, 184)(182, 185)(183,
186)
h1: (1, 5, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48)(2, 8, 9, 13, 17, 21, 25, 29,
33, 37, 41, 47)(3, 7, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46)(4, 6, 11, 15, 19,
23, 27, 31, 35, 39, 43, 45)(49, 53, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 50,
54, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95)(51, 55, 58, 62, 66, 70, 74, 78, 82,
86, 90, 94, 52, 56, 57, 61, 65, 69, 73, 77, 81, 85, 89, 93)(97, 112, 118, 124,
130, 136, 142, 148, 154, 160, 166, 108)(98, 113, 119, 125, 131, 137, 143, 149,
155, 161, 167, 107)(99, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168,
106)(100, 109, 115, 121, 127, 133, 139, 145, 151, 157, 163, 105)(101, 110, 116,
122, 128, 134, 140, 146, 152, 158, 164, 104)(102, 111, 117, 123, 129, 135, 141,
147, 153, 159, 165, 103)(169, 175, 181, 187, 170, 176, 182, 188, 171, 177, 183,
189, 172, 178, 184, 190, 173, 179, 185, 191, 174, 180, 186, 192)
C4[ 192, 145 ]
192
-1 106 107 97 98
-2 103 104 97 98
-3 100 101 103 104
-4 100 101 106 107
-5 99 112 113 98
-6 99 110 98 109
-7 110 101 102 109
-8 101 112 102 113
-9 110 111 118 119
-10 110 111 115 116
-11 113 114 115 116
-12 113 114 118 119
-13 124 125 116 117
-14 121 122 116 117
-15 121 122 119 120
-16 124 125 119 120
-17 122 123 130 131
-18 122 123 127 128
-19 125 126 127 128
-20 125 126 130 131
-21 136 137 128 129
-22 133 134 128 129
-23 132 133 134 131
-24 132 136 137 131
-25 143 134 135 142
-26 134 135 139 140
-27 137 138 139 140
-28 143 137 138 142
-29 148 149 140 141
-30 145 146 140 141
-31 143 144 145 146
-32 143 144 148 149
-33 154 155 146 147
-34 146 147 151 152
-35 149 150 151 152
-36 154 155 149 150
-37 160 161 152 153
-38 157 158 152 153
-39 155 156 157 158
-40 155 156 160 161
-41 166 167 158 159
-42 158 159 163 164
-43 161 162 163 164
-44 166 167 161 162
-45 167 168 104 105
-46 165 104 105 164
-47 165 107 108 164
-48 167 168 107 108
-49 105 106 172 173
-50 169 170 105 106
-51 103 169 170 108
-52 103 172 173 108
-53 99 100 178 179
-54 99 176 100 175
-55 176 102 97 175
-56 178 102 179 97
-57 111 112 184 185
-58 111 112 181 182
-59 114 181 182 109
-60 114 184 185 109
-61 190 191 117 118
-62 187 188 117 118
-63 187 188 115 120
-64 190 191 115 120
-65 123 124 173 174
-66 123 124 170 171
-67 121 126 170 171
-68 121 126 173 174
-69 179 180 129 130
-70 176 177 129 130
-71 132 176 177 127
-72 132 179 180 127
-73 135 136 185 186
-74 135 136 182 183
-75 133 138 182 183
-76 133 138 185 186
-77 191 192 141 142
-78 188 189 141 142
-79 144 188 189 139
-80 144 191 192 139
-81 147 169 148 174
-82 147 148 171 172
-83 145 171 150 172
-84 145 169 150 174
-85 154 180 153 175
-86 154 177 178 153
-87 177 156 178 151
-88 156 180 151 175
-89 159 181 160 186
-90 159 160 183 184
-91 157 183 162 184
-92 157 181 162 186
-93 165 187 166 192
-94 165 166 189 190
-95 189 168 190 163
-96 187 168 192 163
-97 55 1 56 2
-98 1 2 5 6
-99 5 6 53 54
-100 3 4 53 54
-101 3 4 7 8
-102 55 56 7 8
-103 2 3 51 52
-104 45 2 46 3
-105 45 46 49 50
-106 1 4 49 50
-107 1 47 4 48
-108 47 48 51 52
-109 59 60 6 7
-110 6 7 9 10
-111 57 58 9 10
-112 57 58 5 8
-113 11 12 5 8
-114 11 12 59 60
-115 11 63 64 10
-116 11 13 14 10
-117 13 14 61 62
-118 12 61 62 9
-119 12 15 16 9
-120 15 16 63 64
-121 67 68 14 15
-122 14 15 17 18
-123 66 17 18 65
-124 66 13 16 65
-125 13 16 19 20
-126 67 68 19 20
-127 71 72 18 19
-128 22 18 19 21
-129 22 69 70 21
-130 69 70 17 20
-131 23 24 17 20
-132 23 24 71 72
-133 22 23 75 76
-134 22 23 25 26
-135 25 26 73 74
-136 24 73 74 21
-137 24 27 28 21
-138 27 28 75 76
-139 79 80 26 27
-140 26 27 29 30
-141 77 78 29 30
-142 77 78 25 28
-143 25 28 31 32
-144 79 80 31 32
-145 83 84 30 31
-146 33 34 30 31
-147 33 34 81 82
-148 81 82 29 32
-149 35 36 29 32
-150 35 36 83 84
-151 88 34 35 87
-152 34 35 37 38
-153 37 38 85 86
-154 33 36 85 86
-155 33 36 39 40
-156 88 39 40 87
-157 91 92 38 39
-158 38 39 41 42
-159 89 90 41 42
-160 89 90 37 40
-161 44 37 40 43
-162 44 91 92 43
-163 95 96 42 43
-164 46 47 42 43
-165 46 47 93 94
-166 44 93 94 41
-167 44 45 48 41
-168 45 48 95 96
-169 81 50 51 84
-170 66 67 50 51
-171 66 67 82 83
-172 49 82 83 52
-173 68 49 52 65
-174 68 81 84 65
-175 55 88 85 54
-176 55 70 71 54
-177 70 71 86 87
-178 56 53 86 87
-179 56 69 72 53
-180 88 69 72 85
-181 89 58 59 92
-182 58 59 74 75
-183 90 91 74 75
-184 57 90 91 60
-185 57 60 73 76
-186 89 92 73 76
-187 93 62 63 96
-188 78 79 62 63
-189 78 79 94 95
-190 61 94 95 64
-191 77 80 61 64
-192 77 80 93 96
0