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On this page are computer-accessible forms for the graph C4[ 128, 10 ] = MPS(8,32;3).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {32, 34} under the group generated by the following permutations:

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

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