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On this page are computer-accessible forms for the graph C4[ 128, 23 ] = PL(Curtain_16(1,8,2,9,10),[4^16,8^8]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {64, 85} 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)(67, 123)(68, 120)(78, 106)(79, 114)(81, 102)(84, 111)(93, 108)(94, 115)
b: (3, 7)(5, 12)(6, 15)(11, 23)(18, 26)(29, 40)(36, 39)(49, 52)(67, 102)(68, 111)(74, 95)(77, 97)(81, 120)(84, 123)(88, 125)(90, 100)
c: (19, 30)(21, 35)(22, 33)(28, 44)(32, 48)(42, 58)(54, 60)(62, 63)(70, 109)(73, 119)(80, 96)(86, 103)(87, 113)(92, 110)(116, 128)(126, 127)
d: (9, 17)(14, 25)(19, 30)(21, 28)(22, 33)(32, 42)(35, 44)(48, 58)(80, 128)(92, 126)(96, 116)(110, 127)
e: (2, 4)(3, 9)(5, 14)(6, 17)(7, 19)(8, 21, 16, 32)(11, 25)(12, 22)(13, 28, 24, 42)(15, 30)(18, 35, 29, 48)(20, 51, 27, 55)(23, 33)(26, 44, 40, 58)(31, 38, 41, 46)(34, 62, 43, 63)(36, 52)(45, 50)(47, 54, 57, 60)(59, 61)(65, 74)(66, 90)(67, 92)(68, 126)(69, 77)(70, 79, 73, 78)(71, 75)(72, 76)(80, 81)(82, 91)(83, 88)(84, 128)(85, 89)(86, 93, 87, 94)(95, 118)(96, 102)(97, 101)(98, 100)(99, 112)(103, 108, 113, 115)(104, 121)(105, 107)(106, 109, 114, 119)(110, 123)(111, 116)(117, 125)(120, 127)(122, 124)
f: (37, 50)(38, 51)(45, 56)(46, 55)(53, 61)(54, 62)(59, 64)(60, 63)(75, 76)(89, 91)(104, 105)(112, 124)
g: (3, 6)(5, 11)(7, 15)(8, 13)(12, 23)(16, 24)(18, 26)(29, 40)(67, 68)(81, 84)(102, 111)(120, 123)
h: (1, 2)(4, 10)(9, 14)(17, 25)(19, 22)(30, 33)(36, 49)(39, 52)(65, 69)(66, 83)(98, 117)(101, 118)
m: (21, 32)(28, 42)(35, 48)(38, 46)(44, 58)(51, 55)(54, 60)(62, 63)(70, 73)(86, 87)(103, 113)(109, 119)
n1: (20, 31)(27, 41)(34, 47)(37, 45)(43, 57)(50, 56)(53, 59)(61, 64)(71, 72)(82, 85)(99, 122)(107, 121)
a1: (1, 3)(2, 6)(4, 5)(7, 36, 15, 49)(8, 30, 29, 17, 16, 19, 18, 9)(10, 11)(12, 39, 23, 52)(13, 33, 40, 25, 24, 22, 26, 14)(20, 35, 47, 42, 27, 44, 57, 32)(21, 31, 48, 34, 28, 41, 58, 43)(37, 38, 45, 46)(50, 51, 56, 55)(53, 60)(54, 59)(61, 63)(62, 64)(65, 67, 118, 123)(66, 84, 98, 111)(68, 101, 120, 69)(70, 72, 119, 122)(71, 109, 99, 73)(74, 77)(78, 80, 94, 126, 79, 128, 93, 92)(81, 117, 102, 83)(82, 113, 107, 86)(85, 103, 121, 87)(89, 91)(95, 100)(96, 106, 110, 108, 116, 114, 127, 115)(97, 125)(104, 124)(105, 112)
b1: (8, 16)(13, 24)(18, 29)(20, 27)(26, 40)(31, 41)(34, 43)(47, 57)(78, 79)(93, 94)(106, 114)(108, 115)
c1: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 60, 46, 54)(51, 63, 55, 62)(53, 61)(59, 64)(70, 87, 73, 86)(75, 124)(76, 112)(80, 96)(89, 105)(91, 104)(92, 110)(103, 119, 113, 109)(116, 128)(126, 127)
d1: (9, 19)(14, 22)(17, 30)(25, 33)(35, 44)(36, 49)(39, 52)(48, 58)(65, 118)(66, 98)(69, 101)(80, 127)(83, 117)(92, 96)(110, 128)(116, 126)
e1: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(34, 47)(37, 53, 50, 61)(38, 63, 55, 54)(43, 57)(45, 59, 56, 64)(46, 62, 51, 60)(70, 87, 73, 86)(71, 121)(72, 107)(75, 89, 76, 91)(80, 96)(82, 99)(85, 122)(92, 110)(103, 119, 113, 109)(104, 112, 105, 124)(116, 128)(126, 127)
f1: (7, 15)(8, 18, 16, 29)(12, 23)(13, 26, 24, 40)(20, 43, 27, 34)(31, 57, 41, 47)(53, 59)(61, 64)(67, 123)(68, 120)(71, 122)(72, 99)(78, 93, 79, 94)(81, 102)(82, 121)(84, 111)(85, 107)(106, 115, 114, 108)

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

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