[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 128, 25 ] = CPM(8,2,4,1).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

(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.

**************

&Graph
C4[ 128, 25 ]
128
-1 101 70 106 86
-2 3 51 62 41
-3 2 15 70 8
-4 34 39 117 32
-5 34 114 20 43
-6 14 37 48 127
-7 100 112 113 60
-8 111 3 92 98
-9 57 50 19 31
-10 44 81 30 118
-11 100 91 52 65
-12 55 50 61 72
-13 57 27 84 95
-14 125 6 63 109
-15 66 90 3 32
-16 113 48 85 87
-17 22 46 72 76
-18 24 40 95 118
-19 60 115 9 65
-20 110 79 5 72
-21 99 49 108 120
-22 88 35 114 17
-23 33 101 126 75
-24 90 18 41 120
-25 35 112 85 43
-26 111 36 91 128
-27 13 59 49 41
-28 121 34 38 83
-29 92 51 52 54
-30 35 128 52 10
-31 77 71 9 120
-32 101 4 15 93
-33 23 48 38 97
-34 4 5 126 28
-35 22 67 25 30
-36 68 26 81 64
-37 78 124 6 61
-38 33 89 93 28
-39 123 4 84 118
-40 88 71 18 52
-41 2 24 123 27
-42 56 89 124 106
-43 44 45 25 5
-44 103 117 10 43
-45 60 119 43 87
-46 122 103 17 87
-47 56 78 104 116
-48 33 16 6 86
-49 80 27 104 21
-50 99 12 9 119
-51 2 58 116 29
-52 11 29 40 30
-53 66 111 59 74
-54 78 68 29 109
-55 12 100 71 108
-56 47 113 42 97
-57 13 82 94 9
-58 51 128 74 96
-59 27 116 63 53
-60 110 45 7 19
-61 12 37 115 87
-62 2 104 107 109
-63 14 59 82 97
-64 88 36 92 103
-65 11 81 95 19
-66 15 84 107 53
-67 122 35 92 96
-68 36 71 115 54
-69 79 101 102 76
-70 121 1 3 96
-71 55 68 40 31
-72 12 112 17 20
-73 103 128 85 98
-74 123 58 93 53
-75 99 23 82 127
-76 69 17 117 119
-77 81 105 84 31
-78 100 47 37 54
-79 99 69 83 20
-80 49 83 94 97
-81 77 36 10 65
-82 57 63 107 75
-83 79 80 28 106
-84 66 77 13 39
-85 89 25 16 73
-86 1 122 48 98
-87 45 46 16 61
-88 22 105 40 64
-89 38 85 96 42
-90 24 102 15 105
-91 11 26 125 116
-92 67 29 8 64
-93 38 74 32 98
-94 110 57 80 126
-95 13 18 108 65
-96 67 89 58 70
-97 33 56 80 63
-98 93 73 8 86
-99 79 50 75 21
-100 11 55 78 7
-101 1 23 69 32
-102 121 90 69 114
-103 44 46 73 64
-104 47 49 127 62
-105 77 88 90 117
-106 1 83 127 42
-107 66 82 62 120
-108 55 110 95 21
-109 111 14 62 54
-110 60 94 20 108
-111 26 8 53 109
-112 25 124 72 7
-113 56 125 16 7
-114 22 102 5 118
-115 68 125 61 19
-116 47 91 59 51
-117 44 4 105 76
-118 114 39 18 10
-119 45 126 50 76
-120 24 107 31 21
-121 123 102 70 28
-122 67 46 124 86
-123 121 39 41 74
-124 122 112 37 42
-125 14 91 113 115
-126 23 34 94 119
-127 104 6 106 75
-128 58 26 73 30
0

**************