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