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