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