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