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On this page are computer-accessible forms for the graph C4[ 128, 21 ] = PL(Curtain_16(1,4,1,6,10),[4^16,8^8]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {64, 68} under the group generated by the following permutations:

a: (1, 2)(3, 11)(4, 10)(5, 26)(6, 7)(8, 43)(9, 16)(12, 25)(13, 14)(15, 38)(17, 50)(18, 39)(19, 32)(20, 31)(21, 30)(22, 41)(23, 28)(24, 33)(27, 52)(29, 53)(34, 36)(35, 48)(37, 42)(40, 44)(45, 58)(46, 47)(49, 55)(51, 57)(54, 56)(59, 63)(60, 62)(61, 64)(65, 78)(66, 73)(67, 124)(68, 107)(69, 96)(70, 72)(71, 119)(74, 102)(75, 117)(76, 79)(77, 99)(80, 112)(82, 83)(84, 88)(89, 108)(90, 98)(91, 100)(92, 105)(93, 127)(94, 116)(97, 118)(103, 114)(104, 122)(106, 113)(111, 128)(115, 123)(120, 125)(121, 126)
b: (2, 4)(3, 18, 7, 24)(5, 29, 14, 51)(6, 9, 11, 20)(8, 28, 21, 35)(10, 12)(13, 16, 26, 31)(15, 43, 32, 30)(17, 48, 36, 23)(19, 34, 38, 50)(22, 42, 47, 45)(25, 27)(33, 41, 39, 46)(37, 64, 58, 49)(40, 63)(44, 60)(53, 61, 57, 55)(54, 59)(65, 81, 113, 95)(66, 87, 122, 109)(67, 94, 119, 127)(68, 90, 117, 100)(69, 126, 112, 111)(70, 82, 118, 125)(71, 89, 124, 105)(72, 85, 97, 110)(73, 83, 104, 120)(74, 93, 99, 116)(75, 128, 107, 121)(76, 86, 103, 101)(77, 91, 102, 98)(78, 84, 106, 123)(79, 88, 114, 115)(80, 92, 96, 108)
c: (3, 7)(5, 14)(6, 11)(8, 38)(13, 26)(15, 43)(17, 48)(19, 21)(22, 47)(23, 36)(28, 34)(30, 32)(35, 50)(41, 46)(49, 64)(55, 61)(67, 69)(68, 77)(71, 80)(74, 75)(81, 95)(82, 125)(83, 120)(84, 123)(85, 110)(86, 101)(87, 109)(88, 115)(89, 108)(90, 98)(91, 100)(92, 105)(93, 121)(94, 111)(96, 124)(99, 107)(102, 117)(112, 119)(116, 128)(126, 127)
d: (1, 3)(2, 11)(4, 5)(6, 44)(7, 40)(8, 24)(9, 23)(10, 26)(12, 22)(13, 56)(14, 54)(15, 51)(16, 50)(17, 20)(18, 19)(21, 57)(25, 41)(27, 49)(28, 31)(29, 30)(32, 33)(34, 45)(35, 42)(36, 37)(38, 53)(39, 43)(46, 60)(47, 62)(48, 58)(52, 55)(59, 64)(61, 63)(65, 67)(66, 74)(68, 73)(69, 72)(70, 71)(75, 76)(77, 79)(78, 80)(82, 83)(84, 88)(89, 126)(90, 93)(91, 128)(92, 94)(95, 109)(96, 118)(97, 119)(98, 111)(99, 103)(100, 127)(101, 110)(102, 104)(105, 121)(106, 124)(107, 122)(108, 116)(112, 113)(114, 117)(115, 120)(123, 125)

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

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