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

On this page are computer-accessible forms for the graph C4[ 128, 43 ] = PL(ATD[8,2]#ATD[16,2]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {64, 74} under the group generated by the following permutations:

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

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

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

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