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