[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 180, 14 ] = R_90(47,46).

(I) Following is a form readable by MAGMA:

g:=Graph<180|{ {2, 3}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {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}, {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}, {1, 2}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {3, 4}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {7, 8}, {55, 56}, {39, 40}, {23, 24}, {71, 72}, {87, 88}, {15, 16}, {47, 48}, {79, 80}, {64, 107}, {68, 111}, {80, 123}, {84, 127}, {128, 172}, {131, 175}, {130, 174}, {129, 173}, {65, 108}, {67, 110}, {81, 124}, {83, 126}, {128, 174}, {129, 175}, {66, 109}, {82, 125}, {130, 176}, {134, 180}, {131, 177}, {132, 176}, {135, 179}, {134, 178}, {133, 177}, {69, 112}, {71, 114}, {77, 120}, {79, 122}, {132, 178}, {133, 179}, {70, 113}, {78, 121}, {72, 115}, {76, 119}, {136, 180}, {73, 116}, {75, 118}, {31, 32}, {74, 117}, {53, 96}, {55, 98}, {61, 104}, {63, 106}, {54, 97}, {62, 105}, {1, 91}, {37, 127}, {36, 126}, {4, 94}, {5, 95}, {32, 122}, {33, 123}, {1, 90}, {56, 99}, {60, 103}, {57, 100}, {59, 102}, {2, 92}, {35, 125}, {34, 124}, {3, 93}, {58, 101}, {6, 96}, {7, 97}, {14, 104}, {15, 105}, {22, 112}, {23, 113}, {30, 120}, {31, 121}, {8, 98}, {9, 99}, {12, 102}, {13, 103}, {24, 114}, {25, 115}, {28, 118}, {29, 119}, {48, 91}, {52, 95}, {49, 92}, {51, 94}, {10, 100}, {11, 101}, {26, 116}, {27, 117}, {50, 93}, {16, 106}, {17, 107}, {20, 110}, {21, 111}, {18, 108}, {19, 109}, {63, 64}, {2, 135}, {42, 175}, {40, 173}, {34, 167}, {8, 141}, {10, 143}, {16, 149}, {18, 151}, {24, 157}, {26, 159}, {32, 165}, {1, 134}, {41, 174}, {33, 166}, {9, 142}, {17, 150}, {25, 158}, {3, 136}, {39, 172}, {35, 168}, {7, 140}, {19, 152}, {23, 156}, {4, 137}, {38, 171}, {36, 169}, {6, 139}, {20, 153}, {22, 155}, {5, 138}, {37, 170}, {21, 154}, {11, 144}, {47, 180}, {43, 176}, {15, 148}, {12, 145}, {46, 179}, {44, 177}, {14, 147}, {13, 146}, {45, 178}, {38, 128}, {54, 144}, {47, 137}, {46, 136}, {39, 129}, {55, 145}, {62, 152}, {63, 153}, {40, 130}, {45, 135}, {44, 134}, {41, 131}, {56, 146}, {57, 147}, {60, 150}, {61, 151}, {42, 132}, {43, 133}, {58, 148}, {59, 149}, {48, 138}, {53, 143}, {52, 142}, {49, 139}, {27, 160}, {31, 164}, {28, 161}, {30, 163}, {50, 140}, {51, 141}, {29, 162}, {91, 137}, {127, 173}, {126, 172}, {123, 169}, {122, 168}, {119, 165}, {118, 164}, {115, 161}, {114, 160}, {94, 140}, {95, 141}, {92, 136}, {127, 171}, {126, 170}, {125, 169}, {124, 168}, {119, 163}, {118, 162}, {117, 161}, {116, 160}, {93, 137}, {94, 138}, {95, 139}, {85, 128}, {87, 130}, {92, 138}, {125, 171}, {124, 170}, {117, 163}, {116, 162}, {93, 139}, {86, 129}, {64, 154}, {65, 155}, {68, 158}, {69, 159}, {88, 131}, {91, 135}, {123, 167}, {122, 166}, {121, 165}, {120, 164}, {89, 132}, {66, 156}, {121, 167}, {120, 166}, {67, 157}, {90, 133}, {70, 160}, {71, 161}, {78, 168}, {79, 169}, {86, 176}, {87, 177}, {72, 162}, {73, 163}, {76, 166}, {77, 167}, {88, 178}, {89, 179}, {96, 140}, {115, 159}, {114, 158}, {113, 157}, {112, 156}, {97, 141}, {98, 142}, {99, 143}, {74, 164}, {113, 159}, {112, 158}, {75, 165}, {90, 180}, {96, 142}, {97, 143}, {98, 144}, {111, 157}, {110, 156}, {107, 153}, {106, 152}, {103, 149}, {99, 145}, {102, 148}, {100, 144}, {111, 155}, {110, 154}, {109, 153}, {108, 152}, {101, 145}, {102, 146}, {103, 147}, {100, 146}, {109, 155}, {108, 154}, {101, 147}, {80, 170}, {81, 171}, {84, 174}, {85, 175}, {104, 148}, {107, 151}, {106, 150}, {105, 149}, {82, 172}, {105, 151}, {104, 150}, {83, 173} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (11, 100)(12, 146)(56, 145)(57, 101)
b: (17, 106)(18, 152)(62, 151)(63, 107)
c: (29, 118)(30, 164)(74, 163)(75, 119)
d: (39, 128)(40, 174)(84, 173)(85, 129)
e: (12, 101)(13, 58)(14, 148)(57, 146)(59, 103)(102, 147)
f: (33, 122)(34, 168)(78, 167)(79, 123)
g: (38, 127)(39, 84)(40, 174)(83, 172)(85, 129)(128, 173)
h: (4, 93)(5, 50)(6, 140)(49, 138)(51, 95)(94, 139)
m: (2, 134, 91, 90)(3, 44, 137, 133)(4, 43)(5, 42)(6, 41)(7, 40)(8, 39)(9, 38)(10, 37)(11, 36)(12, 35)(13, 34)(14, 33)(15, 32)(16, 31)(17, 30)(18, 29)(19, 28)(20, 27)(21, 26)(22, 25)(23, 24)(45, 47, 179, 136)(48, 89, 92, 178)(49, 88)(50, 87)(51, 86)(52, 85)(53, 84)(54, 83)(55, 82)(56, 81)(57, 80)(58, 79)(59, 78)(60, 77)(61, 76)(62, 75)(63, 74)(64, 73)(65, 72)(66, 71)(67, 70)(68, 69)(93, 177)(94, 176)(95, 175)(96, 174)(97, 173)(98, 172)(99, 171)(100, 170)(101, 169)(102, 168)(103, 167)(104, 166)(105, 165)(106, 164)(107, 163)(108, 162)(109, 161)(110, 160)(111, 159)(112, 158)(113, 157)(114, 156)(115, 155)(116, 154)(117, 153)(118, 152)(119, 151)(120, 150)(121, 149)(122, 148)(123, 147)(124, 146)(125, 145)(126, 144)(127, 143)(128, 142)(129, 141)(130, 140)(131, 139)(132, 138)(135, 180)
n1: (8, 97)(9, 54)(10, 144)(53, 142)(55, 99)(98, 143)
a1: (43, 132)(44, 178)(88, 177)(89, 133)
b1: (44, 133)(45, 179)(89, 178)(90, 134)
c1: (18, 107)(19, 64)(20, 154)(63, 152)(65, 109)(108, 153)
d1: (22, 111)(23, 68)(24, 158)(67, 156)(69, 113)(112, 157)
e1: (34, 123)(35, 80)(36, 170)(79, 168)(81, 125)(124, 169)
f1: (5, 94)(6, 140)(50, 139)(51, 95)
g1: (28, 117)(29, 74)(30, 164)(73, 162)(75, 119)(118, 163)
h1: (20, 109)(21, 66)(22, 156)(65, 154)(67, 111)(110, 155)
m1: (10, 99)(11, 56)(12, 146)(55, 144)(57, 101)(100, 145)
n2: (42, 131)(43, 88)(44, 178)(87, 176)(89, 133)(132, 177)
a2: (30, 119)(31, 76)(32, 166)(75, 164)(77, 121)(120, 165)
b2: (32, 121)(33, 78)(34, 168)(77, 166)(79, 123)(122, 167)
c2: (37, 126)(38, 172)(82, 171)(83, 127)
d2: (35, 124)(36, 170)(80, 169)(81, 125)
e2: (16, 105)(17, 62)(18, 152)(61, 150)(63, 107)(106, 151)
f2: (6, 95)(7, 52)(8, 142)(51, 140)(53, 97)(96, 141)
g2: (7, 96)(8, 142)(52, 141)(53, 97)
h2: (27, 116)(28, 162)(72, 161)(73, 117)
m2: (19, 108)(20, 154)(64, 153)(65, 109)
n3: (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)
a3: (41, 130)(42, 176)(86, 175)(87, 131)
b3: (23, 112)(24, 158)(68, 157)(69, 113)
c3: (40, 129)(41, 86)(42, 176)(85, 174)(87, 131)(130, 175)
d3: (36, 125)(37, 82)(38, 172)(81, 170)(83, 127)(126, 171)
e3: (24, 113)(25, 70)(26, 160)(69, 158)(71, 115)(114, 159)
f3: (26, 115)(27, 72)(28, 162)(71, 160)(73, 117)(116, 161)
g3: (9, 98)(10, 144)(54, 143)(55, 99)
h3: (21, 110)(22, 156)(66, 155)(67, 111)
m3: (14, 103)(15, 60)(16, 150)(59, 148)(61, 105)(104, 149)
n4: (15, 104)(16, 150)(60, 149)(61, 105)
a4: (25, 114)(26, 160)(70, 159)(71, 115)
b4: (31, 120)(32, 166)(76, 165)(77, 121)
c4: (13, 102)(14, 148)(58, 147)(59, 103)

(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
C4[ 180, 14 ]
180
-1 2 90 134 91
-2 1 3 135 92
-3 2 4 136 93
-4 3 5 137 94
-5 4 6 138 95
-6 5 7 139 96
-7 6 8 140 97
-8 7 9 141 98
-9 99 8 10 142
-10 11 143 100 9
-11 12 144 101 10
-12 11 13 145 102
-13 12 14 146 103
-14 13 15 147 104
-15 14 16 148 105
-16 15 17 149 106
-17 16 18 150 107
-18 17 19 151 108
-19 18 20 152 109
-20 110 19 21 153
-21 22 154 111 20
-22 23 155 112 21
-23 22 24 156 113
-24 23 25 157 114
-25 24 26 158 115
-26 25 27 159 116
-27 26 28 160 117
-28 27 29 161 118
-29 28 30 162 119
-30 29 31 163 120
-31 121 30 32 164
-32 33 165 122 31
-33 34 166 123 32
-34 33 35 167 124
-35 34 36 168 125
-36 35 37 169 126
-37 36 38 170 127
-38 37 39 171 128
-39 38 40 172 129
-40 39 41 173 130
-41 40 42 174 131
-42 132 41 43 175
-43 44 176 133 42
-44 45 177 134 43
-45 44 46 178 135
-46 45 47 179 136
-47 46 48 180 137
-48 47 91 49 138
-49 48 92 50 139
-50 49 93 51 140
-51 50 94 52 141
-52 51 95 53 142
-53 143 52 96 54
-54 55 144 53 97
-55 56 145 54 98
-56 55 99 57 146
-57 56 100 58 147
-58 57 101 59 148
-59 58 102 60 149
-60 59 103 61 150
-61 60 104 62 151
-62 61 105 63 152
-63 62 106 64 153
-64 154 63 107 65
-65 66 155 64 108
-66 67 156 65 109
-67 66 110 68 157
-68 67 111 69 158
-69 68 112 70 159
-70 69 113 71 160
-71 70 114 72 161
-72 71 115 73 162
-73 72 116 74 163
-74 73 117 75 164
-75 165 74 118 76
-76 77 166 75 119
-77 78 167 76 120
-78 77 121 79 168
-79 78 122 80 169
-80 79 123 81 170
-81 80 124 82 171
-82 81 125 83 172
-83 82 126 84 173
-84 83 127 85 174
-85 84 128 86 175
-86 176 85 129 87
-87 88 177 86 130
-88 89 178 87 131
-89 88 132 90 179
-90 1 89 133 180
-91 1 135 48 137
-92 2 136 49 138
-93 3 137 50 139
-94 4 138 51 140
-95 5 139 52 141
-96 6 140 53 142
-97 143 7 141 54
-98 55 144 8 142
-99 143 56 145 9
-100 144 57 146 10
-101 11 145 58 147
-102 12 146 59 148
-103 13 147 60 149
-104 14 148 61 150
-105 15 149 62 151
-106 16 150 63 152
-107 17 151 64 153
-108 154 18 152 65
-109 66 155 19 153
-110 154 67 156 20
-111 155 68 157 21
-112 22 156 69 158
-113 23 157 70 159
-114 24 158 71 160
-115 25 159 72 161
-116 26 160 73 162
-117 27 161 74 163
-118 28 162 75 164
-119 165 29 163 76
-120 77 166 30 164
-121 165 78 167 31
-122 166 79 168 32
-123 33 167 80 169
-124 34 168 81 170
-125 35 169 82 171
-126 36 170 83 172
-127 37 171 84 173
-128 38 172 85 174
-129 39 173 86 175
-130 176 40 174 87
-131 88 177 41 175
-132 176 89 178 42
-133 177 90 179 43
-134 44 1 178 180
-135 45 2 91 179
-136 46 3 92 180
-137 47 91 4 93
-138 48 92 5 94
-139 49 93 6 95
-140 50 94 7 96
-141 51 95 8 97
-142 52 96 9 98
-143 99 53 97 10
-144 11 100 54 98
-145 55 99 12 101
-146 56 100 13 102
-147 57 101 14 103
-148 58 102 15 104
-149 59 103 16 105
-150 60 104 17 106
-151 61 105 18 107
-152 62 106 19 108
-153 63 107 20 109
-154 110 64 108 21
-155 22 111 65 109
-156 66 110 23 112
-157 67 111 24 113
-158 68 112 25 114
-159 69 113 26 115
-160 70 114 27 116
-161 71 115 28 117
-162 72 116 29 118
-163 73 117 30 119
-164 74 118 31 120
-165 121 75 119 32
-166 33 122 76 120
-167 77 121 34 123
-168 78 122 35 124
-169 79 123 36 125
-170 80 124 37 126
-171 81 125 38 127
-172 82 126 39 128
-173 83 127 40 129
-174 84 128 41 130
-175 85 129 42 131
-176 132 86 130 43
-177 44 133 87 131
-178 88 132 45 134
-179 89 133 46 135
-180 90 134 47 136
0

**************