Graph forms
for C4 [ 192, 39 ] =
PL(LoPr_24(1,12,2,12,1),[4^24,24^4])
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On this page are computer-accessible forms for the graph C4[ 192, 39 ] =
PL(LoPr_24(1,12,2,12,1),[4^24,24^4]).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {96, 117}, {96, 125}, {67, 99}, {93, 125}, {68, 101}, {76, 109},
{65, 99}, {95, 125}, {92, 126}, {90, 120}, {70, 100}, {71, 98}, {80, 117}, {71,
97}, {76, 106}, {74, 109}, {95, 120}, {89, 126}, {83, 116}, {92, 117}, {86,
125}, {73, 101}, {90, 118}, {84, 120}, {69, 104}, {73, 100}, {64, 111}, {70,
118}, {83, 99}, {84, 101}, {94, 111}, {81, 99}, {77, 126}, {88, 107}, {74, 126},
{91, 111}, {89, 109}, {77, 121}, {64, 117}, {94, 107}, {87, 98}, {66, 116}, {93,
107}, {91, 109}, {69, 115}, {67, 116}, {75, 114}, {81, 104}, {68, 120}, {75,
118}, {88, 101}, {86, 107}, {80, 111}, {87, 104}, {38, 102}, {54, 118}, {38,
103}, {50, 115}, {32, 98}, {51, 113}, {34, 97}, {60, 127}, {35, 103}, {61, 121},
{58, 127}, {50, 116}, {52, 114}, {53, 115}, {33, 102}, {36, 108}, {48, 121},
{59, 114}, {36, 110}, {59, 119}, {32, 113}, {51, 98}, {52, 102}, {54, 100}, {33,
114}, {35, 119}, {41, 127}, {55, 97}, {60, 106}, {39, 127}, {55, 110}, {48,
106}, {53, 104}, {57, 100}, {34, 124}, {40, 119}, {57, 102}, {12, 108}, {19,
119}, {29, 121}, {8, 110}, {10, 108}, {16, 122}, {5, 105}, {31, 115}, {4, 105},
{18, 124}, {31, 113}, {1, 112}, {24, 105}, {22, 103}, {10, 123}, {2, 112}, {8,
122}, {15, 124}, {18, 97}, {4, 112}, {19, 103}, {5, 112}, {12, 123}, {29, 106},
{3, 123}, {20, 108}, {3, 122}, {1, 123}, {7, 124}, {7, 122}, {20, 105}, {15,
113}, {16, 110}, {1, 129}, {44, 172}, {43, 171}, {30, 158}, {53, 181}, {1, 128},
{43, 170}, {30, 159}, {9, 136}, {7, 134}, {2, 128}, {3, 129}, {57, 187}, {11,
136}, {40, 171}, {27, 152}, {19, 144}, {20, 144}, {57, 189}, {3, 134}, {41,
172}, {37, 163}, {44, 170}, {39, 161}, {23, 144}, {51, 180}, {30, 150}, {44,
164}, {59, 179}, {9, 128}, {47, 166}, {42, 163}, {30, 151}, {13, 132}, {6, 141},
{31, 148}, {11, 128}, {31, 147}, {43, 167}, {41, 164}, {59, 182}, {60, 177},
{53, 187}, {60, 178}, {63, 177}, {2, 141}, {46, 161}, {40, 167}, {51, 188}, {24,
136}, {56, 168}, {14, 159}, {28, 141}, {19, 129}, {45, 190}, {42, 190}, {45,
185}, {7, 145}, {32, 182}, {24, 142}, {23, 129}, {14, 152}, {17, 134}, {37,
178}, {34, 181}, {27, 140}, {25, 142}, {56, 175}, {17, 137}, {14, 151}, {38,
191}, {34, 187}, {29, 132}, {63, 166}, {45, 183}, {15, 148}, {43, 176}, {41,
178}, {40, 179}, {38, 189}, {21, 142}, {61, 166}, {20, 136}, {44, 176}, {32,
189}, {42, 183}, {6, 152}, {47, 177}, {15, 145}, {61, 163}, {2, 162}, {46, 142},
{26, 186}, {25, 185}, {50, 146}, {52, 148}, {5, 164}, {18, 179}, {50, 147}, {9,
171}, {46, 140}, {26, 184}, {4, 167}, {47, 140}, {26, 185}, {6, 162}, {49, 149},
{42, 143}, {58, 159}, {6, 160}, {16, 182}, {12, 170}, {11, 172}, {49, 150}, {33,
134}, {23, 176}, {21, 178}, {54, 145}, {33, 137}, {39, 143}, {13, 164}, {25,
176}, {22, 191}, {17, 184}, {63, 150}, {39, 141}, {46, 132}, {22, 186}, {27,
183}, {49, 157}, {13, 160}, {36, 137}, {18, 191}, {16, 189}, {14, 160}, {48,
158}, {23, 185}, {22, 184}, {55, 153}, {8, 167}, {37, 138}, {49, 158}, {52,
155}, {54, 153}, {56, 151}, {9, 184}, {8, 186}, {37, 151}, {35, 145}, {56, 138},
{61, 143}, {62, 140}, {13, 190}, {36, 144}, {62, 138}, {63, 139}, {10, 191},
{48, 133}, {58, 143}, {21, 163}, {28, 170}, {21, 162}, {47, 152}, {27, 172},
{58, 130}, {10, 179}, {24, 161}, {17, 171}, {35, 153}, {62, 132}, {5, 190}, {25,
162}, {11, 183}, {62, 130}, {28, 161}, {29, 160}, {4, 186}, {55, 137}, {85,
149}, {93, 157}, {66, 131}, {80, 146}, {78, 138}, {89, 157}, {79, 139}, {64,
133}, {96, 165}, {86, 147}, {66, 135}, {78, 139}, {84, 146}, {74, 130}, {84,
156}, {96, 169}, {78, 133}, {81, 154}, {12, 192}, {87, 155}, {86, 154}, {78,
130}, {80, 156}, {81, 156}, {87, 154}, {72, 135}, {66, 146}, {68, 148}, {82,
131}, {85, 135}, {65, 149}, {70, 147}, {74, 159}, {82, 135}, {82, 133}, {79,
150}, {82, 139}, {26, 192}, {89, 131}, {28, 192}, {65, 157}, {70, 154}, {71,
155}, {65, 156}, {72, 149}, {64, 158}, {93, 131}, {71, 153}, {68, 155}, {72,
168}, {79, 173}, {76, 175}, {88, 188}, {77, 168}, {72, 175}, {79, 165}, {69,
174}, {95, 180}, {77, 166}, {69, 169}, {45, 192}, {90, 180}, {90, 181}, {94,
174}, {73, 187}, {94, 173}, {91, 175}, {92, 168}, {73, 188}, {83, 165}, {95,
169}, {91, 173}, {88, 174}, {67, 180}, {92, 165}, {85, 174}, {85, 169}, {75,
182}, {76, 177}, {75, 181}, {83, 173}, {67, 188} }>;
(II) A more general form is to represent the graph as the orbit of {96, 117}
under the group generated by the following permutations:
a: (2, 3)(4, 23)(5, 19)(6, 7)(8, 25)(9, 12)(10, 11)(13, 35)(14, 15)(16, 21)(17,
28)(18, 27)(22, 44)(24, 36)(26, 43)(29, 54)(30, 31)(32, 37)(33, 39)(34, 47)(38,
41)(40, 45)(42, 59)(46, 55)(48, 70)(49, 50)(51, 56)(52, 58)(53, 63)(57, 60)(61,
75)(62, 71)(64, 86)(65, 66)(67, 72)(68, 74)(69, 79)(73, 76)(77, 90)(78, 87)(80,
93)(81, 82)(83, 85)(84, 89)(88, 91)(92, 95)(97, 140)(98, 138)(99, 135)(100,
106)(101, 109)(102, 127)(103, 164)(104, 139)(105, 144)(107, 111)(108, 136)(110,
142)(112, 129)(113, 151)(114, 143)(115, 150)(116, 149)(117, 125)(118, 121)(119,
190)(120, 126)(122, 162)(123, 128)(124, 152)(130, 155)(131, 156)(132, 153)(133,
154)(134, 141)(137, 161)(145, 160)(146, 157)(147, 158)(148, 159)(163, 182)(165,
169)(166, 181)(167, 185)(168, 180)(170, 184)(171, 192)(172, 191)(173, 174)(175,
188)(176, 186)(177, 187)(178, 189)(179, 183) (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, 4, 20, 9)(2, 5, 24, 11)(3, 8, 36, 17)(6, 13, 46, 27)(7, 16, 55, 33)(10,
40)(12, 43)(14, 29, 62, 47)(15, 32, 71, 52)(18, 59)(19, 22)(21, 42)(23, 26)(25,
45)(28, 44)(30, 48, 78, 63)(31, 51, 87, 68)(34, 75)(35, 38)(37, 61)(39, 41)(49,
64, 82, 79)(50, 67, 81, 84)(53, 90)(54, 57)(56, 77)(58, 60)(65, 80, 66, 83)(69,
95)(70, 73)(72, 92)(74, 76)(85, 96)(86, 88)(89, 91)(93, 94)(97, 114, 124,
182)(98, 155, 148, 113)(99, 156, 146, 116)(101, 147, 188, 154)(102, 145, 189,
153)(104, 120, 115, 180)(105, 136, 128, 112)(106, 130, 177, 159)(108, 171, 123,
167)(110, 137, 134, 122)(111, 131, 173, 157)(117, 135, 165, 149)(118, 187)(119,
191)(121, 138, 166, 151)(125, 174)(126, 175)(129, 186, 144, 184)(132, 140, 152,
160)(133, 139, 150, 158)(141, 164, 161, 172)(142, 183, 162, 190)(143, 178)(176,
192)
c: (1, 2)(3, 6)(4, 11)(5, 9)(7, 14)(8, 27)(10, 21)(12, 25)(13, 17)(15, 30)(16,
47)(18, 37)(19, 39)(20, 24)(22, 41)(23, 28)(26, 44)(29, 33)(31, 49)(32, 63)(34,
56)(35, 58)(36, 46)(38, 60)(40, 42)(43, 45)(48, 52)(50, 65)(51, 79)(53, 72)(54,
74)(55, 62)(57, 76)(59, 61)(64, 68)(66, 81)(67, 83)(69, 85)(70, 89)(71, 78)(73,
91)(75, 77)(80, 84)(82, 87)(86, 93)(88, 94)(90, 92)(95, 96)(97, 138)(98,
139)(99, 116)(100, 109)(101, 111)(102, 106)(103, 127)(104, 135)(105, 136)(108,
142)(110, 140)(112, 128)(113, 150)(114, 121)(115, 149)(117, 120)(118, 126)(119,
143)(122, 152)(123, 162)(124, 151)(129, 141)(130, 153)(131, 154)(132, 137)(133,
155)(134, 160)(144, 161)(145, 159)(146, 156)(147, 157)(148, 158)(163, 179)(164,
184)(165, 180)(166, 182)(167, 183)(168, 181)(170, 185)(171, 190)(172, 186)(173,
188)(175, 187)(176, 192)(177, 189)(178, 191)
d: (22, 40)(26, 43)(38, 59)(41, 42)(44, 45)(57, 75)(60, 61)(73, 90)(76, 77)(88,
95)(91, 92)(94, 96)(100, 118)(101, 120)(102, 114)(103, 119)(106, 121)(107,
125)(109, 126)(111, 117)(127, 143)(163, 178)(164, 190)(165, 173)(166, 177)(167,
186)(168, 175)(169, 174)(170, 192)(171, 184)(172, 183)(176, 185)(179, 191)(180,
188)(181, 187)(182, 189)
e: (10, 19)(12, 23)(18, 35)(21, 39)(22, 40)(25, 28)(26, 43)(34, 54)(37, 58)(38,
59)(41, 42)(44, 45)(53, 70)(56, 74)(57, 75)(60, 61)(69, 86)(72, 89)(73, 90)(76,
77)(85, 93)(88, 95)(91, 92)(94, 96)(97, 153)(100, 181)(101, 120)(102, 114)(103,
179)(104, 154)(106, 121)(107, 169)(108, 144)(109, 168)(111, 117)(115, 147)(118,
187)(119, 191)(123, 129)(124, 145)(125, 174)(126, 175)(127, 163)(130, 138)(131,
135)(141, 162)(142, 161)(143, 178)(149, 157)(151, 159)(164, 190)(165, 173)(166,
177)(167, 186)(170, 185)(171, 184)(172, 183)(176, 192)(180, 188)(182, 189)
f: (4, 9)(5, 11)(8, 17)(13, 27)(16, 33)(29, 47)(32, 52)(48, 63)(51, 68)(64,
79)(67, 84)(80, 83)(98, 155)(99, 156)(101, 188)(102, 189)(105, 136)(106,
177)(110, 137)(111, 173)(112, 128)(113, 148)(114, 182)(116, 146)(117, 165)(120,
180)(121, 166)(122, 134)(132, 140)(133, 139)(150, 158)(152, 160)(164, 172)(167,
171)(183, 190)(184, 186)
C4[ 192, 39 ]
192
-1 112 123 128 129
-2 112 128 162 141
-3 122 123 134 129
-4 112 167 105 186
-5 112 190 105 164
-6 160 162 141 152
-7 122 134 145 124
-8 110 122 167 186
-9 136 171 128 184
-10 123 179 191 108
-11 136 128 172 183
-12 123 170 192 108
-13 132 190 160 164
-14 159 160 151 152
-15 145 113 124 148
-16 110 122 189 182
-17 134 137 171 184
-18 124 179 191 97
-19 144 103 129 119
-20 144 136 105 108
-21 178 162 163 142
-22 103 191 184 186
-23 176 144 129 185
-24 136 105 161 142
-25 176 162 185 142
-26 192 184 185 186
-27 172 183 140 152
-28 170 192 161 141
-29 121 132 160 106
-30 158 159 150 151
-31 113 147 115 148
-32 189 113 182 98
-33 134 102 114 137
-34 187 124 181 97
-35 145 103 119 153
-36 110 144 137 108
-37 178 138 151 163
-38 189 102 103 191
-39 143 127 161 141
-40 167 179 171 119
-41 178 127 172 164
-42 143 190 183 163
-43 176 167 170 171
-44 176 170 172 164
-45 190 192 183 185
-46 132 161 140 142
-47 166 177 140 152
-48 121 133 158 106
-49 157 158 149 150
-50 146 147 115 116
-51 188 113 180 98
-52 155 102 114 148
-53 187 104 115 181
-54 100 145 118 153
-55 110 137 97 153
-56 168 138 151 175
-57 187 100 189 102
-58 143 159 127 130
-59 179 114 182 119
-60 177 178 127 106
-61 121 143 166 163
-62 132 138 140 130
-63 166 177 139 150
-64 111 133 158 117
-65 99 156 157 149
-66 135 146 116 131
-67 99 188 180 116
-68 155 101 148 120
-69 169 104 115 174
-70 154 100 147 118
-71 155 97 98 153
-72 135 168 149 175
-73 187 100 188 101
-74 126 159 130 109
-75 114 181 182 118
-76 177 106 109 175
-77 121 166 168 126
-78 133 138 139 130
-79 165 139 150 173
-80 111 156 146 117
-81 99 154 156 104
-82 133 135 139 131
-83 99 165 116 173
-84 101 156 146 120
-85 135 169 149 174
-86 154 125 147 107
-87 154 155 104 98
-88 188 101 107 174
-89 157 126 109 131
-90 180 181 118 120
-91 111 173 109 175
-92 165 168 126 117
-93 157 125 107 131
-94 111 107 173 174
-95 125 169 180 120
-96 165 125 169 117
-97 55 34 71 18
-98 71 51 32 87
-99 67 81 83 65
-100 57 70 73 54
-101 88 68 73 84
-102 33 57 38 52
-103 22 35 38 19
-104 69 81 53 87
-105 24 4 5 20
-106 48 60 29 76
-107 88 93 94 86
-108 12 36 20 10
-109 89 91 74 76
-110 55 36 16 8
-111 80 91 94 64
-112 1 2 4 5
-113 15 51 31 32
-114 33 59 52 75
-115 69 50 31 53
-116 66 67 50 83
-117 80 92 96 64
-118 90 70 75 54
-119 35 59 40 19
-120 68 90 84 95
-121 77 48 61 29
-122 3 16 7 8
-123 1 12 3 10
-124 34 15 7 18
-125 93 95 96 86
-126 77 89 92 74
-127 58 60 39 41
-128 11 1 2 9
-129 1 23 3 19
-130 78 58 62 74
-131 66 89 82 93
-132 13 46 29 62
-133 78 48 82 64
-134 33 3 17 7
-135 66 82 72 85
-136 11 24 9 20
-137 33 55 36 17
-138 56 78 37 62
-139 78 79 82 63
-140 46 47 27 62
-141 2 6 28 39
-142 24 46 25 21
-143 58 39 61 42
-144 23 36 19 20
-145 35 15 7 54
-146 66 80 50 84
-147 70 50 31 86
-148 68 15 52 31
-149 49 72 85 65
-150 79 49 30 63
-151 56 14 37 30
-152 14 47 27 6
-153 55 35 71 54
-154 70 81 86 87
-155 68 71 52 87
-156 80 81 84 65
-157 89 49 93 65
-158 48 49 30 64
-159 14 58 30 74
-160 13 14 6 29
-161 24 46 28 39
-162 2 25 6 21
-163 37 61 42 21
-164 44 13 5 41
-165 79 92 83 96
-166 77 47 61 63
-167 4 40 8 43
-168 77 56 92 72
-169 69 95 85 96
-170 44 12 28 43
-171 17 40 9 43
-172 11 44 27 41
-173 79 91 83 94
-174 88 69 94 85
-175 56 91 72 76
-176 44 23 25 43
-177 47 60 63 76
-178 37 60 41 21
-179 59 18 40 10
-180 67 90 51 95
-181 34 90 53 75
-182 59 16 75 32
-183 11 45 27 42
-184 22 26 17 9
-185 23 45 25 26
-186 22 4 26 8
-187 34 57 73 53
-188 88 67 51 73
-189 57 16 38 32
-190 45 13 5 42
-191 22 38 18 10
-192 12 45 26 28
0