C4graphGraph forms for C4 [ 160, 43 ] = PL(Curtain_20(1,10,2,11,12),[4^20,8^10])

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On this page are computer-accessible forms for the graph C4[ 160, 43 ] = PL(Curtain_20(1,10,2,11,12),[4^20,8^10]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {72, 94} under the group generated by the following permutations:

a: (7, 15)(8, 18)(12, 23)(13, 26)(16, 29)(24, 40)(34, 43)(47, 57)(82, 144)(85, 102)(90, 127)(105, 151)(109, 140)(112, 122)(114, 145)(121, 139)
b: (1, 3)(2, 6)(4, 5)(7, 49)(8, 9)(10, 11)(12, 52)(13, 14)(15, 36)(16, 17)(18, 19)(20, 21)(22, 26)(23, 39)(24, 25)(27, 28)(29, 30)(31, 32)(33, 40)(34, 35)(37, 38)(41, 42)(43, 44)(45, 46)(47, 48)(50, 51)(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, 85)(82, 156)(84, 140)(86, 112)(87, 92)(88, 110)(89, 90)(91, 94)(95, 143)(96, 147)(97, 109)(98, 102)(99, 123)(100, 134)(101, 148)(103, 145)(104, 146)(105, 129)(106, 130)(107, 133)(108, 131)(111, 117)(113, 116)(114, 126)(118, 132)(119, 149)(120, 150)(121, 154)(122, 128)(124, 144)(125, 127)(136, 152)(137, 157)(138, 151)(139, 158)(141, 155)(142, 160)(153, 159)
c: (54, 66)(56, 70)(62, 74)(64, 76)(68, 78)(69, 77)(71, 79)(75, 80)(91, 133)(93, 108)(96, 136)(100, 157)(101, 115)(117, 149)(131, 141)(148, 155)
d: (35, 48)(38, 66)(44, 58)(46, 74)(51, 54)(56, 64)(60, 62)(68, 71)(87, 130)(91, 96)(100, 117)(104, 159)(116, 150)(118, 160)(133, 157)(136, 149)
e: (35, 48)(38, 54)(44, 58)(46, 62)(51, 66)(60, 74)(70, 76)(78, 79)(87, 130)(91, 100)(96, 117)(104, 159)(116, 150)(118, 160)(133, 136)(149, 157)
f: (19, 30)(21, 35)(22, 33)(28, 44)(32, 48)(42, 58)(54, 62)(66, 74)(87, 118)(89, 129)(103, 138)(104, 116)(125, 158)(126, 154)(130, 159)(150, 160)
g: (2, 4)(3, 9)(5, 14)(6, 17)(7, 19)(8, 21)(11, 25)(12, 22)(13, 28)(15, 30)(16, 32)(18, 35)(20, 38)(23, 33)(24, 42)(26, 44)(27, 46)(29, 48)(31, 51)(34, 54)(36, 52)(37, 56, 50, 68)(40, 58)(41, 60)(43, 62)(45, 64, 59, 71)(47, 66)(53, 70, 65, 78)(55, 67, 72, 63)(57, 74)(61, 76, 73, 79)(69, 77, 80, 75)(81, 88)(82, 138)(83, 156)(84, 135)(85, 89)(86, 110)(87, 90)(91, 92)(93, 111, 115, 94)(95, 98)(96, 146)(97, 99)(100, 132)(101, 134, 108, 147)(102, 129)(103, 144)(104, 145)(105, 130)(106, 133)(107, 131, 119, 148)(109, 125)(112, 126)(113, 117)(114, 116)(118, 127)(120, 149)(121, 150)(122, 154)(123, 128)(124, 143)(136, 153)(137, 155, 152, 141)(139, 160)(140, 158)(142, 157)(151, 159)
h: (8, 16)(13, 24)(18, 29)(20, 27)(26, 40)(31, 41)(34, 43)(47, 57)(90, 114)(105, 121)(127, 145)(139, 151)
m: (37, 50)(45, 59)(53, 65)(55, 63)(61, 73)(67, 72)(69, 75)(77, 80)(94, 111)(107, 119)(134, 147)(137, 152)
n1: (21, 32)(28, 42)(35, 48)(38, 46)(44, 58)(51, 60)(54, 62)(66, 74)(87, 116)(104, 118)(130, 150)(159, 160)
a1: (53, 65)(54, 66)(55, 69, 67, 77)(56, 78, 68, 70)(61, 73)(62, 74)(63, 75, 72, 80)(64, 79, 71, 76)(91, 133)(93, 155, 115, 141)(94, 107)(96, 136)(100, 157)(101, 148, 108, 131)(111, 119)(117, 149)(134, 137)(147, 152)
b1: (9, 17)(14, 25)(19, 30)(21, 28)(22, 33)(32, 42)(35, 44)(48, 58)(89, 126)(103, 125)(129, 154)(138, 158)
c1: (20, 31)(27, 41)(34, 47)(37, 45)(43, 57)(50, 59)(53, 61)(65, 73)(92, 113)(106, 120)(132, 146)(142, 153)
d1: (3, 7)(5, 12)(6, 15)(11, 23)(18, 26)(29, 40)(36, 39)(49, 52)(82, 102)(83, 143)(85, 109)(88, 95)(99, 135)(110, 123)(112, 144)(122, 140)
e1: (9, 19)(14, 22)(17, 30)(25, 33)(35, 44)(36, 49)(39, 52)(48, 58)(81, 98)(84, 97)(86, 128)(89, 125)(103, 126)(124, 156)(129, 138)(154, 158)
f1: (1, 2)(4, 10)(9, 14)(17, 25)(19, 22)(30, 33)(36, 49)(39, 52)(81, 86)(84, 156)(97, 124)(98, 128)
g1: (3, 6)(5, 11)(7, 15)(8, 13)(12, 23)(16, 24)(18, 26)(29, 40)(82, 140)(85, 112)(102, 122)(109, 144)
h1: (18, 29)(20, 34)(26, 40)(27, 43)(31, 47)(41, 57)(53, 61)(65, 73)(90, 105)(92, 132)(106, 153)(113, 146)(114, 121)(120, 142)(127, 139)(145, 151)
m1: (55, 67)(56, 68)(63, 72)(64, 71)(69, 77)(70, 78)(75, 80)(76, 79)(93, 115)(101, 108)(131, 148)(141, 155)
n2: (34, 47)(37, 53)(43, 57)(45, 61)(50, 65)(59, 73)(69, 75)(77, 80)(92, 106)(94, 134)(107, 152)(111, 147)(113, 120)(119, 137)(132, 142)(146, 153)

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

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