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On this page are computer-accessible forms for the graph C4[ 128, 14 ] = PL(MSY(4,16,7,0)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {64, 121} under the group generated by the following permutations:

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

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

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