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