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