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