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On this page are computer-accessible forms for the graph C4[ 160, 44 ] =
PL(Curtain_20(1,10,7,11,17),[4^20,8^10]).
(I) Following is a form readable by MAGMA:
g:=Graph<160|{ {66, 82}, {70, 84}, {77, 94}, {72, 93}, {78, 91}, {65, 91}, {71,
93}, {65, 93}, {64, 93}, {64, 94}, {75, 84}, {79, 111}, {76, 109}, {78, 108},
{80, 115}, {66, 103}, {80, 117}, {66, 100}, {71, 111}, {72, 96}, {77, 100}, {67,
105}, {64, 107}, {79, 100}, {68, 111}, {71, 107}, {65, 108}, {69, 107}, {74,
100}, {80, 96}, {68, 119}, {73, 125}, {68, 113}, {75, 124}, {70, 124}, {79,
115}, {72, 117}, {78, 115}, {77, 115}, {17, 81}, {40, 104}, {23, 87}, {50, 114},
{39, 102}, {40, 106}, {32, 99}, {62, 125}, {50, 113}, {46, 106}, {49, 117}, {16,
85}, {41, 108}, {20, 82}, {38, 96}, {55, 113}, {19, 84}, {43, 108}, {48, 119},
{49, 118}, {51, 116}, {47, 102}, {54, 127}, {22, 92}, {25, 83}, {50, 120}, {22,
90}, {33, 109}, {24, 84}, {45, 97}, {59, 119}, {27, 86}, {51, 126}, {52, 121},
{21, 91}, {28, 82}, {23, 89}, {56, 118}, {57, 119}, {1, 81}, {15, 95}, {9, 89},
{4, 85}, {37, 116}, {8, 90}, {63, 109}, {32, 114}, {42, 121}, {2, 86}, {61,
105}, {13, 89}, {5, 81}, {59, 111}, {35, 118}, {36, 113}, {3, 85}, {12, 90},
{41, 127}, {54, 96}, {60, 107}, {7, 95}, {37, 125}, {14, 86}, {11, 83}, {9, 81},
{48, 104}, {1, 88}, {2, 88}, {34, 120}, {44, 118}, {3, 88}, {60, 103}, {36,
127}, {13, 86}, {58, 97}, {36, 120}, {2, 95}, {8, 85}, {55, 106}, {1, 95}, {6,
88}, {51, 109}, {33, 126}, {53, 106}, {5, 101}, {24, 120}, {14, 110}, {9, 105},
{3, 98}, {21, 116}, {16, 114}, {25, 123}, {26, 121}, {48, 83}, {1, 101}, {10,
110}, {27, 126}, {4, 98}, {28, 122}, {49, 87}, {27, 124}, {59, 92}, {26, 114},
{16, 121}, {22, 127}, {55, 94}, {4, 110}, {31, 117}, {26, 112}, {23, 125}, {12,
102}, {3, 104}, {31, 116}, {5, 110}, {6, 104}, {20, 122}, {8, 102}, {60, 82},
{8, 103}, {17, 126}, {10, 122}, {19, 99}, {18, 98}, {11, 123}, {46, 94}, {13,
124}, {46, 92}, {21, 97}, {35, 87}, {14, 123}, {22, 99}, {6, 112}, {33, 87},
{19, 101}, {16, 103}, {17, 105}, {35, 91}, {10, 112}, {40, 83}, {6, 122}, {37,
89}, {32, 92}, {30, 98}, {12, 112}, {24, 101}, {5, 123}, {36, 90}, {31, 97},
{29, 99}, {7, 135}, {20, 149}, {30, 159}, {27, 154}, {24, 153}, {7, 132}, {2,
134}, {10, 143}, {15, 138}, {29, 155}, {13, 133}, {15, 135}, {14, 134}, {31,
150}, {26, 144}, {4, 143}, {30, 149}, {20, 159}, {17, 154}, {9, 133}, {45, 160},
{11, 132}, {25, 150}, {21, 132}, {30, 140}, {18, 129}, {29, 142}, {25, 138},
{11, 157}, {23, 129}, {15, 150}, {7, 157}, {58, 160}, {29, 134}, {12, 144}, {19,
142}, {28, 129}, {18, 140}, {33, 129}, {43, 139}, {40, 137}, {63, 158}, {61,
156}, {43, 138}, {54, 151}, {57, 152}, {39, 133}, {42, 136}, {41, 138}, {50,
145}, {52, 151}, {34, 134}, {47, 139}, {55, 146}, {51, 149}, {62, 152}, {61,
155}, {35, 132}, {63, 152}, {47, 136}, {49, 150}, {56, 159}, {48, 152}, {58,
146}, {52, 158}, {56, 146}, {54, 157}, {39, 139}, {46, 130}, {38, 139}, {44,
130}, {45, 130}, {37, 149}, {42, 154}, {32, 145}, {60, 141}, {52, 133}, {18,
160}, {53, 135}, {44, 159}, {45, 153}, {58, 142}, {44, 153}, {47, 154}, {56,
142}, {62, 136}, {57, 143}, {38, 145}, {34, 155}, {39, 158}, {59, 130}, {43,
145}, {53, 143}, {34, 153}, {38, 157}, {28, 160}, {53, 137}, {42, 151}, {41,
151}, {62, 128}, {61, 131}, {57, 135}, {63, 128}, {64, 128}, {73, 137}, {73,
136}, {65, 131}, {80, 148}, {70, 131}, {76, 137}, {74, 140}, {75, 141}, {69,
141}, {69, 140}, {72, 131}, {77, 128}, {67, 141}, {76, 158}, {71, 147}, {69,
144}, {68, 146}, {74, 156}, {67, 148}, {67, 155}, {70, 156}, {78, 148}, {74,
144}, {73, 147}, {79, 147}, {66, 156}, {75, 148}, {76, 147} }>;
(II) A more general form is to represent the graph as the orbit of {66, 82}
under the group generated by the following permutations:
a: (3, 6)(4, 10)(8, 28, 16, 20)(12, 18, 26, 30)(19, 24)(21, 38, 35, 54)(22, 45,
32, 44)(23, 52, 37, 39)(29, 34)(31, 43, 49, 41)(33, 42, 51, 47)(36, 58, 50,
56)(62, 63)(65, 72)(73, 76)(78, 80)(82, 103)(85, 122)(87, 151, 116, 139)(89,
133)(90, 160, 114, 159)(91, 96)(92, 130)(97, 145, 118, 127)(98, 112)(99,
153)(102, 129, 121, 149)(108, 117)(109, 136)(113, 146)(120, 142)(125, 158)(126,
154)(132, 157)(138, 150)(140, 144) (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, 5)(3, 9, 6, 17)(4, 13, 10, 27)(7, 19, 15, 24)(8, 37, 12, 51)(11, 29, 25,
34)(16, 23, 26, 33)(18, 52, 28, 42)(20, 47, 30, 39)(21, 22, 31, 36)(32, 49, 50,
35)(38, 56, 43, 44)(40, 61)(41, 45, 54, 58)(46, 72, 55, 65)(48, 67)(53, 70)(57,
75)(59, 80, 68, 78)(60, 62, 69, 63)(66, 73, 74, 76)(71, 77)(81, 88)(82, 136,
140, 158)(83, 155)(84, 135)(85, 89, 112, 126)(86, 110)(87, 114)(90, 116)(91, 92,
117, 113)(93, 94)(95, 101)(96, 146, 108, 130)(97, 127)(98, 133, 122, 154)(99,
150, 120, 132)(100, 147)(102, 149)(103, 125, 144, 109)(104, 105)(106, 131)(107,
128)(111, 115)(118, 145)(119, 148)(121, 129)(123, 134)(124, 143)(137, 156)(138,
153, 157, 142)(139, 159)(141, 152)(151, 160)
c: (1, 2)(5, 14)(9, 29)(13, 19)(17, 34)(18, 30)(20, 28)(22, 39)(23, 56)(24,
27)(32, 52)(33, 44)(36, 47)(37, 58)(38, 54)(41, 43)(42, 50)(45, 51)(46, 76)(55,
73)(59, 63)(62, 68)(64, 71)(77, 79)(81, 134)(84, 124)(86, 101)(87, 118)(89,
142)(90, 102)(92, 158)(94, 147)(97, 116)(99, 133)(105, 155)(106, 137)(109,
130)(111, 128)(113, 136)(114, 121)(119, 152)(120, 154)(125, 146)(126, 153)(127,
139)(129, 159)(145, 151)(149, 160)
d: (9, 19)(13, 29)(17, 24)(18, 30)(20, 28)(22, 39)(23, 56)(27, 34)(32, 52)(33,
44)(36, 47)(37, 58)(38, 54)(41, 43)(42, 50)(45, 51)(46, 76)(55, 73)(59, 63)(61,
70)(62, 68)(64, 71)(67, 75)(77, 79)(81, 101)(84, 105)(86, 134)(87, 118)(89,
142)(90, 102)(92, 158)(94, 147)(97, 116)(99, 133)(106, 137)(109, 130)(111,
128)(113, 136)(114, 121)(119, 152)(120, 154)(124, 155)(125, 146)(126, 153)(127,
139)(129, 159)(145, 151)(149, 160)
e: (60, 66)(61, 67)(64, 77)(65, 78)(69, 74)(70, 75)(71, 79)(72, 80)(93,
115)(100, 107)(131, 148)(141, 156)
f: (19, 24)(22, 36)(29, 34)(32, 50)(44, 56)(45, 58)(46, 55)(59, 68)(92, 113)(99,
120)(130, 146)(142, 153)
g: (8, 16)(12, 26)(22, 32)(36, 50)(38, 54)(39, 52)(41, 43)(42, 47)(90, 114)(102,
121)(127, 145)(139, 151)
h: (9, 17)(13, 27)(23, 33)(37, 51)(39, 47)(42, 52)(62, 63)(73, 76)(89, 126)(109,
125)(133, 154)(136, 158)
m: (3, 6)(4, 10)(8, 12)(16, 26)(18, 28)(20, 30)(60, 69)(66, 74)(82, 140)(85,
112)(98, 122)(103, 144)
n1: (40, 48)(46, 59)(53, 57)(55, 68)(62, 73)(63, 76)(64, 71)(77, 79)(94,
111)(106, 119)(128, 147)(137, 152)
a1: (3, 15, 6, 7)(4, 25, 10, 11)(8, 49, 26, 21)(12, 35, 16, 31)(18, 41, 20,
38)(19, 24)(22, 44, 32, 45)(23, 52, 37, 39)(28, 54, 30, 43)(29, 34)(33, 42, 51,
47)(36, 56, 50, 58)(40, 53)(48, 57)(60, 80, 69, 78)(62, 63)(64, 77)(65, 66, 72,
74)(71, 79)(73, 76)(82, 96, 140, 108)(83, 143)(85, 150, 112, 132)(87, 121, 116,
102)(88, 95)(89, 133)(90, 118, 114, 97)(91, 103, 117, 144)(92, 130)(93, 100)(98,
138, 122, 157)(99, 153)(104, 135)(107, 115)(109, 136)(110, 123)(113, 146)(120,
142)(125, 158)(126, 154)(127, 159, 145, 160)(129, 151, 149, 139)(131, 156)(141,
148)
b1: (18, 30)(20, 28)(21, 35)(23, 37)(31, 49)(33, 51)(44, 45)(56, 58)(87,
116)(97, 118)(129, 149)(159, 160)
c1: (7, 15)(11, 25)(21, 31)(35, 49)(38, 43)(41, 54)(65, 72)(78, 80)(91, 117)(96,
108)(132, 150)(138, 157)
d1: (1, 3, 2, 6)(4, 14, 10, 5)(7, 40)(8, 27, 12, 17)(9, 16, 13, 26)(11, 53)(15,
48)(18, 34, 28, 24)(19, 30, 29, 20)(21, 46)(22, 51)(23, 50)(25, 57)(31, 59)(32,
37)(33, 36)(35, 55)(38, 73)(39, 42)(41, 63)(43, 62)(44, 58)(49, 68)(54, 76)(60,
70, 69, 61)(64, 65)(66, 75, 74, 67)(71, 72)(77, 78)(79, 80)(81, 85, 86, 112)(82,
84, 140, 155)(83, 135)(87, 113)(89, 114)(90, 126)(91, 94)(92, 116)(95, 104)(96,
147)(97, 130)(98, 134, 122, 101)(99, 149)(100, 148)(102, 154)(103, 124, 144,
105)(106, 132)(107, 131)(108, 128)(109, 127)(111, 117)(118, 146)(119, 150)(120,
129)(121, 133)(123, 143)(125, 145)(136, 139)(137, 157)(138, 152)(141, 156)(142,
159)(151, 158)(153, 160)
C4[ 160, 44 ]
160
-1 88 101 81 95
-2 88 134 95 86
-3 88 104 85 98
-4 110 143 85 98
-5 110 101 123 81
-6 88 122 112 104
-7 132 135 157 95
-8 90 102 103 85
-9 89 133 81 105
-10 110 143 122 112
-11 132 123 157 83
-12 144 90 112 102
-13 89 133 124 86
-14 110 123 134 86
-15 135 138 95 150
-16 121 103 114 85
-17 154 81 126 105
-18 160 129 140 98
-19 99 101 84 142
-20 122 82 159 149
-21 132 91 116 97
-22 99 90 92 127
-23 89 125 129 87
-24 101 84 120 153
-25 123 83 138 150
-26 121 144 112 114
-27 154 124 126 86
-28 122 82 160 129
-29 99 155 134 142
-30 159 149 140 98
-31 116 117 150 97
-32 99 145 92 114
-33 126 129 87 109
-34 155 134 120 153
-35 132 91 118 87
-36 90 113 127 120
-37 89 125 116 149
-38 145 157 139 96
-39 133 102 158 139
-40 104 137 83 106
-41 127 138 151 108
-42 121 154 136 151
-43 145 138 139 108
-44 159 118 130 153
-45 160 97 130 153
-46 92 94 106 130
-47 154 102 136 139
-48 104 83 119 152
-49 117 150 118 87
-50 145 113 114 120
-51 126 116 149 109
-52 121 133 158 151
-53 143 135 137 106
-54 157 127 96 151
-55 113 146 94 106
-56 146 159 118 142
-57 143 135 119 152
-58 146 160 97 142
-59 111 92 119 130
-60 103 82 107 141
-61 155 156 105 131
-62 125 136 128 152
-63 158 128 152 109
-64 93 94 128 107
-65 91 93 108 131
-66 100 156 103 82
-67 155 148 105 141
-68 111 113 146 119
-69 144 107 140 141
-70 156 124 84 131
-71 111 147 93 107
-72 93 117 96 131
-73 125 136 147 137
-74 100 144 156 140
-75 124 148 84 141
-76 147 158 137 109
-77 100 115 94 128
-78 91 115 148 108
-79 100 111 147 115
-80 115 148 117 96
-81 1 5 17 9
-82 66 60 28 20
-83 11 25 48 40
-84 24 70 19 75
-85 3 4 16 8
-86 2 13 14 27
-87 33 23 35 49
-88 1 2 3 6
-89 23 13 37 9
-90 22 12 36 8
-91 78 35 21 65
-92 22 46 59 32
-93 71 72 64 65
-94 55 77 46 64
-95 1 2 15 7
-96 80 38 72 54
-97 45 58 31 21
-98 3 4 18 30
-99 22 29 19 32
-100 66 77 79 74
-101 1 24 5 19
-102 12 47 39 8
-103 66 16 60 8
-104 3 48 6 40
-105 67 17 61 9
-106 55 46 40 53
-107 69 60 71 64
-108 78 41 43 65
-109 33 51 63 76
-110 14 4 5 10
-111 68 79 59 71
-112 12 26 6 10
-113 55 68 36 50
-114 26 16 50 32
-115 77 78 79 80
-116 37 51 31 21
-117 80 49 72 31
-118 44 56 35 49
-119 57 68 48 59
-120 34 24 36 50
-121 26 16 52 42
-122 6 28 20 10
-123 11 14 25 5
-124 13 70 27 75
-125 23 37 62 73
-126 33 27 17 51
-127 22 36 41 54
-128 77 62 63 64
-129 33 23 28 18
-130 44 45 46 59
-131 70 61 72 65
-132 11 35 7 21
-133 13 39 52 9
-134 34 2 14 29
-135 57 15 7 53
-136 47 62 73 42
-137 40 73 53 76
-138 25 15 41 43
-139 47 38 39 43
-140 69 18 30 74
-141 67 69 60 75
-142 56 58 29 19
-143 57 4 53 10
-144 12 69 26 74
-145 38 50 32 43
-146 55 56 68 58
-147 79 71 73 76
-148 67 78 80 75
-149 37 51 30 20
-150 25 15 49 31
-151 41 52 42 54
-152 57 48 62 63
-153 44 34 45 24
-154 47 27 17 42
-155 34 67 61 29
-156 66 70 61 74
-157 11 38 7 54
-158 39 52 63 76
-159 44 56 30 20
-160 45 58 28 18
0