Graph forms
for C4 [ 198, 3 ] = DW(66,3)
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On this page are computer-accessible forms for the graph C4[ 198, 3 ] =
DW(66,3).
(I) Following is a form readable by MAGMA:
g:=Graph<198|{ {66, 67}, {132, 133}, {2, 67}, {132, 197}, {130, 195}, {128,
193}, {50, 115}, {48, 113}, {46, 111}, {44, 109}, {42, 107}, {40, 105}, {38,
103}, {36, 101}, {34, 99}, {32, 97}, {4, 69}, {6, 71}, {8, 73}, {10, 75}, {12,
77}, {14, 79}, {16, 81}, {18, 83}, {20, 85}, {22, 87}, {24, 89}, {26, 91}, {28,
93}, {30, 95}, {52, 117}, {54, 119}, {56, 121}, {58, 123}, {60, 125}, {62, 127},
{4, 71}, {129, 194}, {128, 195}, {49, 114}, {48, 115}, {45, 110}, {44, 111},
{41, 106}, {40, 107}, {37, 102}, {36, 103}, {33, 98}, {32, 99}, {5, 70}, {8,
75}, {9, 74}, {12, 79}, {13, 78}, {16, 83}, {17, 82}, {20, 87}, {21, 86}, {24,
91}, {25, 90}, {28, 95}, {29, 94}, {52, 119}, {53, 118}, {56, 123}, {57, 122},
{60, 127}, {61, 126}, {1, 68}, {131, 198}, {129, 196}, {49, 116}, {43, 110},
{41, 108}, {35, 102}, {33, 100}, {3, 70}, {9, 76}, {11, 78}, {17, 84}, {19, 86},
{25, 92}, {27, 94}, {51, 118}, {57, 124}, {59, 126}, {2, 69}, {131, 196}, {130,
197}, {50, 117}, {43, 108}, {42, 109}, {35, 100}, {34, 101}, {3, 68}, {10, 77},
{11, 76}, {18, 85}, {19, 84}, {26, 93}, {27, 92}, {51, 116}, {58, 125}, {59,
124}, {5, 72}, {39, 106}, {37, 104}, {7, 74}, {21, 88}, {23, 90}, {53, 120},
{55, 122}, {6, 73}, {39, 104}, {38, 105}, {7, 72}, {22, 89}, {23, 88}, {54,
121}, {55, 120}, {13, 80}, {47, 114}, {45, 112}, {15, 82}, {14, 81}, {47, 112},
{46, 113}, {15, 80}, {29, 96}, {31, 98}, {30, 97}, {31, 96}, {4, 135}, {48,
179}, {44, 175}, {40, 171}, {36, 167}, {32, 163}, {8, 139}, {12, 143}, {16,
147}, {20, 151}, {24, 155}, {28, 159}, {52, 183}, {56, 187}, {60, 191}, {64,
195}, {1, 132}, {49, 180}, {48, 181}, {43, 174}, {42, 175}, {41, 172}, {40,
173}, {35, 166}, {34, 167}, {33, 164}, {32, 165}, {2, 135}, {3, 134}, {8, 141},
{9, 140}, {10, 143}, {11, 142}, {16, 149}, {17, 148}, {18, 151}, {19, 150}, {24,
157}, {25, 156}, {26, 159}, {27, 158}, {50, 183}, {51, 182}, {56, 189}, {57,
188}, {58, 191}, {59, 190}, {64, 197}, {65, 196}, {67, 198}, {1, 134}, {49,
182}, {42, 173}, {41, 174}, {34, 165}, {33, 166}, {2, 133}, {9, 142}, {10, 141},
{17, 150}, {18, 149}, {25, 158}, {26, 157}, {50, 181}, {57, 190}, {58, 189},
{65, 198}, {66, 197}, {3, 136}, {39, 172}, {35, 168}, {7, 140}, {19, 152}, {23,
156}, {51, 184}, {55, 188}, {4, 137}, {39, 170}, {38, 171}, {37, 168}, {36,
169}, {5, 136}, {6, 139}, {7, 138}, {20, 153}, {21, 152}, {22, 155}, {23, 154},
{52, 185}, {53, 184}, {54, 187}, {55, 186}, {5, 138}, {38, 169}, {37, 170}, {6,
137}, {21, 154}, {22, 153}, {53, 186}, {54, 185}, {11, 144}, {47, 180}, {43,
176}, {15, 148}, {12, 145}, {47, 178}, {46, 179}, {45, 176}, {44, 177}, {13,
144}, {14, 147}, {15, 146}, {13, 146}, {46, 177}, {45, 178}, {14, 145}, {27,
160}, {31, 164}, {28, 161}, {127, 194}, {125, 192}, {31, 162}, {29, 160}, {30,
163}, {61, 128}, {63, 130}, {29, 162}, {127, 192}, {126, 193}, {30, 161}, {62,
129}, {63, 128}, {64, 129}, {126, 191}, {124, 189}, {122, 187}, {120, 185},
{118, 183}, {116, 181}, {114, 179}, {112, 177}, {110, 175}, {108, 173}, {106,
171}, {66, 131}, {68, 133}, {70, 135}, {72, 137}, {74, 139}, {76, 141}, {78,
143}, {80, 145}, {82, 147}, {84, 149}, {86, 151}, {88, 153}, {90, 155}, {92,
157}, {94, 159}, {96, 161}, {98, 163}, {100, 165}, {102, 167}, {104, 169}, {64,
131}, {125, 190}, {124, 191}, {121, 186}, {120, 187}, {117, 182}, {116, 183},
{113, 178}, {112, 179}, {109, 174}, {108, 175}, {65, 130}, {68, 135}, {69, 134},
{72, 139}, {73, 138}, {76, 143}, {77, 142}, {80, 147}, {81, 146}, {84, 151},
{85, 150}, {88, 155}, {89, 154}, {92, 159}, {93, 158}, {96, 163}, {97, 162},
{100, 167}, {101, 166}, {104, 171}, {105, 170}, {65, 132}, {123, 190}, {121,
188}, {115, 182}, {113, 180}, {107, 174}, {67, 134}, {73, 140}, {75, 142}, {81,
148}, {83, 150}, {89, 156}, {91, 158}, {97, 164}, {99, 166}, {105, 172}, {1,
198}, {123, 188}, {122, 189}, {115, 180}, {114, 181}, {107, 172}, {106, 173},
{66, 133}, {74, 141}, {75, 140}, {82, 149}, {83, 148}, {90, 157}, {91, 156},
{98, 165}, {99, 164}, {69, 136}, {119, 186}, {117, 184}, {71, 138}, {85, 152},
{87, 154}, {101, 168}, {103, 170}, {70, 137}, {119, 184}, {118, 185}, {71, 136},
{86, 153}, {87, 152}, {102, 169}, {103, 168}, {77, 144}, {111, 178}, {109, 176},
{79, 146}, {78, 145}, {111, 176}, {110, 177}, {79, 144}, {59, 192}, {63, 196},
{60, 193}, {61, 192}, {62, 195}, {63, 194}, {93, 160}, {95, 162}, {61, 194},
{62, 193}, {94, 161}, {95, 160} }>;
(II) A more general form is to represent the graph as the orbit of {66, 67}
under the group generated by the following permutations:
a: (67, 133)(68, 134)(69, 135)(70, 136)(71, 137)(72, 138)(73, 139)(74, 140)(75,
141)(76, 142)(77, 143)(78, 144)(79, 145)(80, 146)(81, 147)(82, 148)(83, 149)(84,
150)(85, 151)(86, 152)(87, 153)(88, 154)(89, 155)(90, 156)(91, 157)(92, 158)(93,
159)(94, 160)(95, 161)(96, 162)(97, 163)(98, 164)(99, 165)(100, 166)(101,
167)(102, 168)(103, 169)(104, 170)(105, 171)(106, 172)(107, 173)(108, 174)(109,
175)(110, 176)(111, 177)(112, 178)(113, 179)(114, 180)(115, 181)(116, 182)(117,
183)(118, 184)(119, 185)(120, 186)(121, 187)(122, 188)(123, 189)(124, 190)(125,
191)(126, 192)(127, 193)(128, 194)(129, 195)(130, 196)(131, 197)(132, 198) (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, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
62, 63, 64, 65, 66)(67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116,
117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131,
132)(133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147,
148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163,
164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179,
180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,
196, 197, 198)
c: (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11,
77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21,
87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31,
97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40,
106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49,
115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58,
124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
d: (2, 66)(3, 65)(4, 64)(5, 63)(6, 62)(7, 61)(8, 60)(9, 59)(10, 58)(11, 57)(12,
56)(13, 55)(14, 54)(15, 53)(16, 52)(17, 51)(18, 50)(19, 49)(20, 48)(21, 47)(22,
46)(23, 45)(24, 44)(25, 43)(26, 42)(27, 41)(28, 40)(29, 39)(30, 38)(31, 37)(32,
36)(33, 35)(68, 132)(69, 131)(70, 130)(71, 129)(72, 128)(73, 127)(74, 126)(75,
125)(76, 124)(77, 123)(78, 122)(79, 121)(80, 120)(81, 119)(82, 118)(83, 117)(84,
116)(85, 115)(86, 114)(87, 113)(88, 112)(89, 111)(90, 110)(91, 109)(92, 108)(93,
107)(94, 106)(95, 105)(96, 104)(97, 103)(98, 102)(99, 101)(134, 198)(135,
197)(136, 196)(137, 195)(138, 194)(139, 193)(140, 192)(141, 191)(142, 190)(143,
189)(144, 188)(145, 187)(146, 186)(147, 185)(148, 184)(149, 183)(150, 182)(151,
181)(152, 180)(153, 179)(154, 178)(155, 177)(156, 176)(157, 175)(158, 174)(159,
173)(160, 172)(161, 171)(162, 170)(163, 169)(164, 168)(165, 167)
C4[ 198, 3 ]
198
-1 132 198 68 134
-2 67 133 69 135
-3 68 134 70 136
-4 69 135 71 137
-5 70 136 72 138
-6 71 137 73 139
-7 72 138 74 140
-8 73 139 75 141
-9 74 140 76 142
-10 77 143 75 141
-11 78 144 76 142
-12 77 143 79 145
-13 78 144 80 146
-14 79 145 81 147
-15 80 146 82 148
-16 81 147 83 149
-17 82 148 84 150
-18 83 149 85 151
-19 84 150 86 152
-20 85 151 87 153
-21 88 154 86 152
-22 89 155 87 153
-23 88 154 90 156
-24 89 155 91 157
-25 90 156 92 158
-26 91 157 93 159
-27 92 158 94 160
-28 93 159 95 161
-29 94 160 96 162
-30 95 161 97 163
-31 96 162 98 164
-32 99 165 97 163
-33 100 166 98 164
-34 99 165 101 167
-35 100 166 102 168
-36 101 167 103 169
-37 102 168 104 170
-38 103 169 105 171
-39 104 170 106 172
-40 105 171 107 173
-41 106 172 108 174
-42 107 173 109 175
-43 110 176 108 174
-44 111 177 109 175
-45 110 176 112 178
-46 111 177 113 179
-47 112 178 114 180
-48 113 179 115 181
-49 114 180 116 182
-50 115 181 117 183
-51 116 182 118 184
-52 117 183 119 185
-53 118 184 120 186
-54 121 187 119 185
-55 122 188 120 186
-56 121 187 123 189
-57 122 188 124 190
-58 123 189 125 191
-59 124 190 126 192
-60 125 191 127 193
-61 126 192 128 194
-62 127 193 129 195
-63 128 194 130 196
-64 129 195 131 197
-65 132 198 130 196
-66 67 133 131 197
-67 66 198 2 134
-68 1 133 3 135
-69 2 134 4 136
-70 3 135 5 137
-71 4 136 6 138
-72 5 137 7 139
-73 6 138 8 140
-74 7 139 9 141
-75 8 140 10 142
-76 11 143 9 141
-77 12 144 10 142
-78 11 143 13 145
-79 12 144 14 146
-80 13 145 15 147
-81 14 146 16 148
-82 15 147 17 149
-83 16 148 18 150
-84 17 149 19 151
-85 18 150 20 152
-86 19 151 21 153
-87 22 154 20 152
-88 23 155 21 153
-89 22 154 24 156
-90 23 155 25 157
-91 24 156 26 158
-92 25 157 27 159
-93 26 158 28 160
-94 27 159 29 161
-95 28 160 30 162
-96 29 161 31 163
-97 30 162 32 164
-98 33 165 31 163
-99 34 166 32 164
-100 33 165 35 167
-101 34 166 36 168
-102 35 167 37 169
-103 36 168 38 170
-104 37 169 39 171
-105 38 170 40 172
-106 39 171 41 173
-107 40 172 42 174
-108 41 173 43 175
-109 44 176 42 174
-110 45 177 43 175
-111 44 176 46 178
-112 45 177 47 179
-113 46 178 48 180
-114 47 179 49 181
-115 48 180 50 182
-116 49 181 51 183
-117 50 182 52 184
-118 51 183 53 185
-119 52 184 54 186
-120 55 187 53 185
-121 56 188 54 186
-122 55 187 57 189
-123 56 188 58 190
-124 57 189 59 191
-125 58 190 60 192
-126 59 191 61 193
-127 60 192 62 194
-128 61 193 63 195
-129 62 194 64 196
-130 63 195 65 197
-131 66 198 64 196
-132 1 133 65 197
-133 66 132 2 68
-134 1 67 3 69
-135 2 68 4 70
-136 3 69 5 71
-137 4 70 6 72
-138 5 71 7 73
-139 6 72 8 74
-140 7 73 9 75
-141 8 74 10 76
-142 11 77 9 75
-143 12 78 10 76
-144 11 77 13 79
-145 12 78 14 80
-146 13 79 15 81
-147 14 80 16 82
-148 15 81 17 83
-149 16 82 18 84
-150 17 83 19 85
-151 18 84 20 86
-152 19 85 21 87
-153 22 88 20 86
-154 23 89 21 87
-155 22 88 24 90
-156 23 89 25 91
-157 24 90 26 92
-158 25 91 27 93
-159 26 92 28 94
-160 27 93 29 95
-161 28 94 30 96
-162 29 95 31 97
-163 30 96 32 98
-164 33 99 31 97
-165 34 100 32 98
-166 33 99 35 101
-167 34 100 36 102
-168 35 101 37 103
-169 36 102 38 104
-170 37 103 39 105
-171 38 104 40 106
-172 39 105 41 107
-173 40 106 42 108
-174 41 107 43 109
-175 44 110 42 108
-176 45 111 43 109
-177 44 110 46 112
-178 45 111 47 113
-179 46 112 48 114
-180 47 113 49 115
-181 48 114 50 116
-182 49 115 51 117
-183 50 116 52 118
-184 51 117 53 119
-185 52 118 54 120
-186 55 121 53 119
-187 56 122 54 120
-188 55 121 57 123
-189 56 122 58 124
-190 57 123 59 125
-191 58 124 60 126
-192 59 125 61 127
-193 60 126 62 128
-194 61 127 63 129
-195 62 128 64 130
-196 63 129 65 131
-197 66 132 64 130
-198 1 67 65 131
0