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On this page are computer-accessible forms for the graph C4[ 160, 42 ] = PL(Curtain_20(1,10,1,7,17),[4^20,4^20]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {75, 91} under the group generated by the following permutations:

a: (9, 17)(13, 25)(22, 30)(35, 45)(37, 48)(47, 62)(58, 68)(69, 78)(89, 126)(101, 120)(129, 155)(145, 153)
b: (8, 16)(12, 24)(20, 33)(21, 29)(28, 43)(34, 44)(37, 47)(48, 62)(90, 114)(103, 123)(127, 137)(143, 160)
c: (1, 2)(5, 14)(9, 13)(17, 25)(19, 27)(32, 42)(57, 67)(73, 77)(81, 86)(82, 150)(97, 132)(106, 119)
d: (18, 31)(22, 35)(26, 41)(30, 45)(36, 53)(39, 50)(46, 61)(51, 64)(85, 116)(102, 118)(133, 141)(149, 152)
e: (3, 6)(4, 10)(8, 12)(16, 24)(18, 26)(31, 41)(56, 66)(72, 76)(83, 112)(84, 158)(98, 122)(99, 138)
f: (3, 7, 6, 15)(4, 11, 10, 23)(8, 20, 12, 28)(16, 33, 24, 43)(18, 36, 26, 46)(31, 53, 41, 61)(56, 60, 66, 71)(72, 75, 76, 80)(83, 144, 112, 154)(84, 91, 158, 117)(85, 133)(87, 95)(88, 100)(90, 127)(93, 104)(98, 128, 122, 142)(99, 109, 138, 107)(102, 152)(103, 143)(108, 115)(110, 121)(114, 137)(116, 141)(118, 149)(123, 160)(134, 146)(135, 157)(139, 151)
g: (19, 32)(21, 34)(27, 42)(29, 44)(39, 51)(40, 52)(50, 64)(55, 65)(92, 113)(96, 124)(130, 136)(147, 159)
h: (7, 15)(11, 23)(20, 28)(33, 43)(36, 46)(53, 61)(60, 71)(75, 80)(91, 117)(107, 109)(128, 142)(144, 154)
m: (38, 54)(40, 55)(49, 63)(52, 65)(58, 69)(59, 70)(68, 78)(74, 79)(94, 111)(105, 125)(131, 140)(148, 156)
n1: (7, 15)(8, 18)(11, 23)(12, 26)(16, 31)(20, 46)(21, 39)(22, 37)(24, 41)(28, 36)(29, 50)(30, 48)(33, 61)(34, 51)(35, 47)(43, 53)(44, 64)(45, 62)(60, 71)(75, 80)(83, 98)(84, 99)(85, 143)(89, 129)(90, 149)(91, 107)(92, 130)(96, 147)(101, 145)(102, 137)(103, 133)(109, 117)(112, 122)(113, 136)(114, 152)(116, 160)(118, 127)(120, 153)(123, 141)(124, 159)(126, 155)(128, 154)(138, 158)(142, 144)
a1: (56, 72)(57, 73)(59, 74)(60, 75)(66, 76)(67, 77)(70, 79)(71, 80)(93, 115)(104, 108)(134, 139)(146, 151)
b1: (2, 5)(3, 19, 15, 17)(4, 27, 23, 25)(6, 32, 7, 9)(8, 21, 28, 48)(10, 42, 11, 13)(12, 34, 20, 37)(16, 29, 43, 62)(18, 39, 46, 30)(22, 26, 51, 36)(24, 44, 33, 47)(31, 50, 61, 45)(35, 41, 64, 53)(38, 57)(40, 71, 68, 56)(49, 67)(52, 60, 58, 66)(54, 73)(55, 80, 78, 72)(63, 77)(65, 75, 69, 76)(70, 74)(81, 87, 97, 95)(82, 88, 106, 100)(83, 96, 154, 155)(84, 130, 117, 101)(85, 133, 149, 118)(86, 110, 132, 121)(89, 122, 159, 128)(90, 127, 143, 103)(91, 120, 158, 136)(92, 107, 145, 99)(93, 131, 104, 94)(98, 147, 142, 126)(102, 116, 141, 152)(105, 134, 148, 146)(108, 111, 115, 140)(109, 153, 138, 113)(112, 124, 144, 129)(114, 137, 160, 123)(119, 135, 150, 157)(125, 139, 156, 151)
c1: (1, 3, 8, 21, 40, 59, 71, 61, 45, 17)(2, 4, 12, 29, 52, 70, 80, 53, 30, 9)(5, 6, 16, 34, 55, 74, 60, 46, 35, 25)(7, 18, 37, 27, 49, 66, 43, 64, 78, 73)(10, 24, 44, 65, 79, 75, 36, 22, 13, 14)(11, 26, 47, 42, 63, 76, 33, 51, 69, 77)(15, 31, 48, 19, 38, 56, 28, 50, 68, 57)(20, 39, 58, 67, 23, 41, 62, 32, 54, 72)(81, 87, 83, 90, 92, 94, 93, 117, 116, 126)(82, 88, 84, 143, 147, 148, 146, 154, 152, 145)(85, 89, 86, 110, 112, 114, 113, 111, 115, 91)(95, 98, 103, 96, 105, 104, 107, 102, 101, 106)(97, 100, 99, 127, 130, 131, 134, 142, 141, 155)(108, 109, 118, 120, 119, 121, 122, 123, 124, 125)(128, 133, 129, 132, 135, 138, 137, 136, 140, 139)(144, 149, 153, 150, 157, 158, 160, 159, 156, 151)

(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.

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

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