Graph forms
for C4 [ 180, 45 ] = SDD(C_45(1,19))
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On this page are computer-accessible forms for the graph C4[ 180, 45 ] =
SDD(C_45(1,19)).
(I) Following is a form readable by MAGMA:
g:=Graph<180|{ {90, 91}, {90, 92}, {90, 93}, {84, 94}, {85, 95}, {82, 94}, {85,
91}, {76, 93}, {78, 92}, {72, 95}, {74, 107}, {78, 111}, {64, 99}, {87, 116},
{82, 113}, {77, 110}, {69, 102}, {65, 98}, {76, 104}, {83, 119}, {71, 97}, {89,
127}, {75, 108}, {78, 103}, {77, 102}, {73, 101}, {75, 100}, {86, 121}, {68,
116}, {72, 120}, {70, 119}, {78, 127}, {72, 121}, {87, 101}, {66, 113}, {89,
106}, {87, 100}, {73, 125}, {84, 97}, {67, 117}, {86, 96}, {84, 99}, {85, 98},
{75, 114}, {79, 118}, {65, 123}, {90, 96}, {87, 109}, {79, 117}, {69, 126}, {82,
105}, {64, 124}, {81, 109}, {76, 112}, {71, 122}, {77, 115}, {84, 107}, {85,
106}, {55, 114}, {50, 122}, {51, 123}, {53, 125}, {56, 112}, {63, 118}, {57,
115}, {51, 120}, {50, 124}, {47, 126}, {32, 115}, {60, 111}, {58, 110}, {61,
105}, {10, 95}, {34, 119}, {62, 104}, {33, 118}, {59, 108}, {4, 92}, {6, 94},
{5, 93}, {2, 91}, {62, 103}, {37, 124}, {39, 126}, {1, 91}, {38, 125}, {1, 93},
{36, 120}, {1, 92}, {3, 94}, {2, 95}, {36, 123}, {37, 122}, {2, 98}, {3, 99},
{1, 96}, {3, 97}, {4, 103}, {20, 119}, {7, 100}, {8, 109}, {19, 118}, {17, 116},
{19, 117}, {9, 110}, {18, 117}, {2, 106}, {23, 127}, {3, 107}, {15, 101}, {4,
111}, {11, 96}, {7, 108}, {8, 100}, {5, 104}, {31, 114}, {29, 112}, {14, 99},
{12, 97}, {8, 101}, {16, 126}, {6, 105}, {30, 113}, {13, 98}, {9, 102}, {10,
120}, {21, 103}, {15, 125}, {14, 124}, {11, 121}, {10, 121}, {28, 111}, {24,
107}, {5, 112}, {27, 110}, {25, 108}, {7, 114}, {12, 122}, {16, 102}, {13, 123},
{6, 113}, {26, 109}, {9, 115}, {4, 127}, {8, 116}, {21, 104}, {23, 106}, {22,
105}, {17, 145}, {42, 170}, {19, 146}, {34, 163}, {32, 161}, {30, 159}, {28,
157}, {26, 155}, {24, 153}, {44, 173}, {53, 180}, {10, 136}, {25, 155}, {23,
149}, {21, 151}, {18, 144}, {15, 141}, {14, 140}, {11, 137}, {44, 174}, {45,
175}, {54, 180}, {21, 150}, {33, 162}, {29, 158}, {25, 154}, {48, 179}, {49,
178}, {35, 167}, {5, 128}, {20, 145}, {7, 130}, {36, 161}, {37, 160}, {43, 174},
{52, 177}, {12, 138}, {13, 139}, {43, 173}, {45, 171}, {6, 129}, {27, 156}, {55,
176}, {42, 162}, {56, 176}, {9, 131}, {35, 169}, {32, 170}, {38, 172}, {24,
147}, {40, 164}, {40, 165}, {63, 178}, {22, 152}, {22, 153}, {27, 148}, {26,
149}, {18, 131}, {61, 172}, {34, 179}, {28, 141}, {38, 180}, {50, 160}, {51,
161}, {20, 135}, {60, 175}, {57, 170}, {33, 178}, {55, 163}, {58, 174}, {17,
132}, {19, 134}, {20, 130}, {59, 173}, {52, 162}, {18, 133}, {30, 137}, {29,
138}, {55, 160}, {57, 161}, {45, 180}, {53, 172}, {54, 175}, {41, 179}, {42,
177}, {46, 178}, {54, 171}, {63, 162}, {16, 142}, {17, 143}, {52, 170}, {43,
139}, {59, 155}, {44, 140}, {46, 143}, {60, 157}, {59, 154}, {38, 132}, {42,
136}, {45, 142}, {34, 134}, {61, 153}, {61, 152}, {33, 135}, {58, 156}, {56,
158}, {15, 168}, {43, 140}, {44, 139}, {48, 151}, {40, 128}, {62, 150}, {50,
154}, {12, 165}, {62, 151}, {14, 167}, {40, 129}, {49, 152}, {13, 166}, {57,
146}, {41, 133}, {29, 176}, {48, 158}, {58, 148}, {49, 159}, {11, 164}, {31,
176}, {30, 177}, {51, 156}, {35, 147}, {39, 150}, {60, 141}, {46, 159}, {53,
132}, {32, 146}, {47, 157}, {56, 138}, {24, 171}, {28, 175}, {25, 173}, {27,
174}, {48, 133}, {46, 152}, {35, 148}, {39, 144}, {41, 158}, {36, 156}, {63,
135}, {54, 142}, {16, 169}, {47, 150}, {22, 172}, {39, 157}, {26, 166}, {31,
163}, {52, 136}, {41, 151}, {49, 143}, {23, 168}, {31, 160}, {37, 154}, {47,
144}, {67, 131}, {72, 136}, {70, 134}, {68, 132}, {83, 145}, {80, 147}, {73,
141}, {81, 149}, {80, 148}, {67, 133}, {75, 130}, {79, 134}, {65, 139}, {81,
155}, {66, 137}, {69, 142}, {68, 143}, {64, 140}, {89, 149}, {76, 128}, {71,
138}, {77, 131}, {83, 130}, {67, 144}, {82, 129}, {74, 153}, {83, 135}, {68,
145}, {88, 128}, {74, 147}, {88, 129}, {66, 159}, {79, 146}, {86, 137}, {73,
168}, {74, 171}, {71, 165}, {70, 163}, {64, 167}, {65, 166}, {69, 169}, {89,
168}, {86, 164}, {66, 177}, {70, 179}, {80, 167}, {81, 166}, {80, 169}, {88,
164}, {88, 165} }>;
(II) A more general form is to represent the graph as the orbit of {90, 91}
under the group generated by the following permutations:
a: (11, 86) (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: (39, 47)
c: (20, 83)
d: (38, 53)
e: (45, 54)
f: (37, 50)
g: (41, 48)
h: (25, 59)
m: (6, 82)
n1: (46, 49)
a1: (9, 77)
b1: (36, 51)
c1: (3, 84)
d1: (5, 76)
e1: (8, 87)
f1: (29, 56)
g1: (40, 88)
h1: (24, 74)
m1: (15, 73)
n2: (18, 67)
a2: (2, 85)
b2: (34, 70)
c2: (19, 79)
d2: (4, 78)
e2: (2, 5)(3, 8)(4, 11)(6, 15)(7, 14)(9, 19)(10, 21)(12, 26)(13, 29)(16, 33)(17,
24)(18, 32)(20, 35)(22, 38)(23, 40)(25, 37)(27, 34)(28, 30)(31, 43)(36, 41)(39,
42)(44, 55)(45, 46)(47, 52)(48, 51)(49, 54)(50, 59)(53, 61)(56, 65)(57, 67)(58,
70)(60, 66)(62, 72)(63, 69)(64, 75)(68, 74)(71, 81)(73, 82)(76, 85)(77, 79)(78,
86)(80, 83)(84, 87)(88, 89)(91, 93)(92, 96)(94, 101)(95, 104)(97, 109)(98,
112)(99, 100)(102, 118)(103, 121)(105, 125)(106, 128)(107, 116)(108, 124)(110,
134)(111, 137)(113, 141)(114, 140)(115, 117)(119, 148)(120, 151)(122, 155)(123,
158)(126, 162)(127, 164)(129, 168)(130, 167)(131, 146)(132, 153)(133, 161)(135,
169)(136, 150)(138, 166)(139, 176)(142, 178)(143, 171)(144, 170)(145, 147)(149,
165)(152, 180)(156, 179)(157, 177)(159, 175)(160, 173)(163, 174)
f2: (13, 65)
g2: (23, 89)
h2: (21, 62)
m2: (26, 81)
n3: (33, 63)
a3: (35, 80)
b3: (43, 44)
c3: (42, 52)
d3: (16, 69)
e3: (14, 64)
f3: (2, 4)(5, 11)(6, 12)(7, 17)(10, 21)(13, 28)(14, 24)(15, 26)(16, 27)(18,
32)(22, 37)(25, 38)(29, 30)(31, 46)(33, 34)(36, 39)(41, 42)(43, 45)(44, 54)(47,
51)(48, 52)(49, 55)(50, 61)(53, 59)(56, 66)(57, 67)(58, 69)(60, 65)(62, 72)(63,
70)(64, 74)(68, 75)(71, 82)(73, 81)(76, 86)(78, 85)(91, 92)(93, 96)(94, 97)(95,
103)(98, 111)(99, 107)(100, 116)(101, 109)(102, 110)(104, 121)(105, 122)(106,
127)(108, 132)(112, 137)(113, 138)(114, 143)(115, 131)(117, 146)(118, 134)(119,
135)(120, 150)(123, 157)(124, 153)(125, 155)(126, 156)(128, 164)(129, 165)(130,
145)(133, 170)(136, 151)(139, 175)(140, 171)(141, 166)(142, 174)(144, 161)(147,
167)(148, 169)(149, 168)(152, 160)(154, 172)(158, 177)(159, 176)(162, 179)(163,
178)(173, 180)
g3: (27, 58)
h3: (10, 72)
m3: (31, 55)
n4: (17, 68)
a4: (22, 61)
b4: (1, 2)(3, 7)(4, 10)(5, 13)(6, 8)(9, 18)(11, 23)(12, 25)(14, 31)(15, 30)(16,
19)(17, 22)(20, 24)(21, 36)(26, 40)(27, 41)(28, 42)(29, 43)(32, 39)(33, 45)(34,
35)(38, 46)(44, 56)(47, 57)(48, 58)(49, 53)(51, 62)(52, 60)(54, 63)(55, 64)(59,
71)(61, 68)(65, 76)(66, 73)(67, 77)(69, 79)(70, 80)(72, 78)(74, 83)(75, 84)(81,
88)(82, 87)(85, 90)(86, 89)(92, 95)(93, 98)(94, 100)(96, 106)(97, 108)(99,
114)(101, 113)(102, 117)(103, 120)(104, 123)(105, 116)(107, 130)(109, 129)(110,
133)(111, 136)(112, 139)(115, 144)(118, 142)(119, 147)(121, 127)(122, 154)(124,
160)(125, 159)(126, 146)(128, 166)(132, 152)(134, 169)(135, 171)(137, 168)(138,
173)(140, 176)(141, 177)(143, 172)(145, 153)(148, 179)(149, 164)(150, 161)(151,
156)(155, 165)(157, 170)(158, 174)(162, 175)(163, 167)(178, 180)
c4: (12, 71)
d4: (30, 66)
e4: (32, 57)
f4: (28, 60)
C4[ 180, 45 ]
180
-1 91 92 93 96
-2 91 95 106 98
-3 99 94 107 97
-4 111 92 103 127
-5 112 93 104 128
-6 113 94 105 129
-7 100 114 108 130
-8 100 101 116 109
-9 110 102 115 131
-10 121 136 95 120
-11 121 137 96 164
-12 165 122 138 97
-13 166 123 139 98
-14 99 167 124 140
-15 101 168 125 141
-16 102 169 126 142
-17 132 143 145 116
-18 133 144 117 131
-19 134 146 117 118
-20 145 135 119 130
-21 103 104 150 151
-22 105 172 152 153
-23 168 127 149 106
-24 147 171 107 153
-25 154 155 173 108
-26 155 166 149 109
-27 110 156 148 174
-28 111 157 141 175
-29 176 112 158 138
-30 177 113 137 159
-31 176 114 160 163
-32 146 115 170 161
-33 178 135 118 162
-34 134 179 119 163
-35 167 147 169 148
-36 123 156 161 120
-37 154 122 124 160
-38 132 125 180 172
-39 144 157 126 150
-40 165 128 129 164
-41 133 179 158 151
-42 177 136 170 162
-43 139 140 173 174
-44 139 140 173 174
-45 180 171 142 175
-46 143 178 159 152
-47 144 157 126 150
-48 133 179 158 151
-49 143 178 159 152
-50 154 122 124 160
-51 123 156 161 120
-52 177 136 170 162
-53 132 125 180 172
-54 180 171 142 175
-55 176 114 160 163
-56 176 112 158 138
-57 146 115 170 161
-58 110 156 148 174
-59 154 155 173 108
-60 111 157 141 175
-61 105 172 152 153
-62 103 104 150 151
-63 178 135 118 162
-64 99 167 124 140
-65 166 123 139 98
-66 177 113 137 159
-67 133 144 117 131
-68 132 143 145 116
-69 102 169 126 142
-70 134 179 119 163
-71 165 122 138 97
-72 121 136 95 120
-73 101 168 125 141
-74 147 171 107 153
-75 100 114 108 130
-76 112 93 104 128
-77 110 102 115 131
-78 111 92 103 127
-79 134 146 117 118
-80 167 147 169 148
-81 155 166 149 109
-82 113 94 105 129
-83 145 135 119 130
-84 99 94 107 97
-85 91 95 106 98
-86 121 137 96 164
-87 100 101 116 109
-88 165 128 129 164
-89 168 127 149 106
-90 91 92 93 96
-91 1 2 90 85
-92 1 78 90 4
-93 1 90 5 76
-94 3 82 6 84
-95 2 72 85 10
-96 11 1 90 86
-97 12 3 71 84
-98 2 13 85 65
-99 3 14 84 64
-100 7 8 75 87
-101 15 73 8 87
-102 77 69 16 9
-103 78 4 62 21
-104 5 62 21 76
-105 22 82 6 61
-106 23 89 2 85
-107 24 3 84 74
-108 25 59 7 75
-109 26 81 8 87
-110 77 58 27 9
-111 78 4 60 28
-112 56 5 29 76
-113 66 82 6 30
-114 55 7 31 75
-115 77 57 9 32
-116 68 17 8 87
-117 67 79 18 19
-118 33 79 19 63
-119 34 70 83 20
-120 36 72 51 10
-121 11 72 86 10
-122 12 37 71 50
-123 13 36 51 65
-124 14 37 50 64
-125 15 38 73 53
-126 47 69 16 39
-127 23 78 89 4
-128 88 5 40 76
-129 88 82 6 40
-130 83 7 20 75
-131 77 67 18 9
-132 68 38 17 53
-133 67 48 18 41
-134 34 79 70 19
-135 33 83 63 20
-136 72 52 42 10
-137 11 66 30 86
-138 12 56 71 29
-139 44 13 43 65
-140 44 14 64 43
-141 15 60 28 73
-142 45 69 16 54
-143 46 68 49 17
-144 67 47 39 18
-145 68 17 83 20
-146 57 79 19 32
-147 24 35 80 74
-148 35 58 80 27
-149 23 89 26 81
-150 47 39 62 21
-151 48 62 41 21
-152 22 46 49 61
-153 22 24 61 74
-154 25 37 59 50
-155 25 26 59 81
-156 36 58 27 51
-157 47 60 28 39
-158 56 48 29 41
-159 66 46 49 30
-160 55 37 50 31
-161 57 36 51 32
-162 33 52 63 42
-163 55 34 70 31
-164 11 88 40 86
-165 88 12 71 40
-166 13 26 81 65
-167 35 14 80 64
-168 23 89 15 73
-169 35 69 80 16
-170 57 52 42 32
-171 45 24 74 54
-172 22 38 61 53
-173 44 25 59 43
-174 44 58 27 43
-175 45 60 28 54
-176 55 56 29 31
-177 66 30 52 42
-178 33 46 49 63
-179 34 48 70 41
-180 45 38 53 54
0