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