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On this page are computer-accessible forms for the graph C4[ 128, 22 ] = PL(Curtain_16(1,8,1,6,14),[4^16,4^16]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {64, 76} under the group generated by the following permutations:

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

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

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