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