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

On this page are computer-accessible forms for the graph C4[ 160, 19 ] = MPS(4,80;3).

(I) Following is a form readable by MAGMA:

g:=Graph<160|{ {80, 82}, {120, 124}, {117, 121}, {119, 123}, {118, 122}, {79, 81}, {88, 123}, {92, 127}, {89, 124}, {91, 126}, {8, 47}, {16, 55}, {24, 63}, {64, 103}, {72, 111}, {80, 119}, {90, 125}, {1, 41}, {2, 42}, {3, 43}, {4, 44}, {5, 45}, {6, 46}, {7, 47}, {16, 56}, {17, 57}, {18, 58}, {19, 59}, {20, 60}, {21, 61}, {22, 62}, {23, 63}, {3, 42}, {5, 44}, {7, 46}, {17, 56}, {19, 58}, {21, 60}, {23, 62}, {65, 104}, {67, 106}, {69, 108}, {71, 110}, {64, 106}, {65, 107}, {68, 110}, {69, 111}, {2, 41}, {6, 45}, {18, 57}, {22, 61}, {66, 105}, {70, 109}, {81, 125}, {82, 126}, {83, 127}, {87, 122}, {66, 108}, {67, 109}, {4, 43}, {20, 59}, {68, 107}, {86, 121}, {70, 112}, {71, 113}, {78, 120}, {8, 48}, {9, 49}, {10, 50}, {11, 51}, {12, 52}, {13, 53}, {14, 54}, {15, 55}, {9, 48}, {11, 50}, {13, 52}, {15, 54}, {73, 112}, {75, 114}, {77, 116}, {79, 118}, {72, 114}, {73, 115}, {76, 118}, {77, 119}, {10, 49}, {14, 53}, {74, 113}, {78, 117}, {74, 116}, {75, 117}, {12, 51}, {76, 115}, {1, 80}, {41, 120}, {40, 126}, {54, 96}, {55, 97}, {62, 104}, {63, 105}, {24, 64}, {31, 71}, {30, 70}, {29, 69}, {28, 68}, {27, 67}, {25, 65}, {26, 66}, {25, 64}, {31, 70}, {29, 68}, {27, 66}, {57, 96}, {59, 98}, {61, 100}, {63, 102}, {35, 121}, {39, 125}, {38, 124}, {56, 98}, {57, 99}, {60, 102}, {61, 103}, {26, 65}, {30, 69}, {58, 97}, {62, 101}, {36, 122}, {37, 123}, {58, 100}, {59, 101}, {28, 67}, {60, 99}, {32, 71}, {48, 87}, {40, 79}, {56, 95}, {32, 72}, {39, 79}, {38, 78}, {37, 77}, {36, 76}, {35, 75}, {34, 74}, {33, 73}, {33, 72}, {51, 90}, {49, 88}, {39, 78}, {37, 76}, {35, 74}, {53, 92}, {55, 94}, {48, 90}, {49, 91}, {52, 94}, {53, 95}, {34, 73}, {50, 89}, {38, 77}, {54, 93}, {50, 92}, {51, 93}, {36, 75}, {52, 91}, {8, 121}, {10, 123}, {12, 125}, {14, 127}, {9, 122}, {13, 126}, {46, 88}, {47, 89}, {11, 124}, {40, 80}, {43, 82}, {47, 86}, {45, 84}, {41, 83}, {45, 87}, {44, 86}, {42, 81}, {46, 85}, {1, 127}, {43, 85}, {42, 84}, {44, 83}, {2, 128}, {34, 160}, {31, 157}, {30, 156}, {27, 153}, {26, 152}, {3, 129}, {6, 132}, {7, 133}, {10, 136}, {11, 137}, {14, 140}, {15, 141}, {18, 144}, {19, 145}, {22, 148}, {23, 149}, {4, 130}, {29, 155}, {28, 154}, {5, 131}, {12, 138}, {13, 139}, {20, 146}, {21, 147}, {8, 134}, {9, 135}, {24, 150}, {25, 151}, {15, 128}, {31, 144}, {16, 129}, {30, 143}, {28, 141}, {18, 131}, {20, 133}, {22, 135}, {24, 137}, {26, 139}, {17, 130}, {29, 142}, {21, 134}, {25, 138}, {19, 132}, {27, 140}, {2, 155}, {4, 157}, {6, 159}, {1, 154}, {5, 158}, {16, 142}, {17, 143}, {3, 156}, {23, 136}, {7, 160}, {32, 145}, {40, 153}, {38, 151}, {36, 149}, {34, 147}, {33, 146}, {37, 150}, {35, 148}, {32, 158}, {33, 159}, {39, 152}, {84, 159}, {81, 156}, {83, 158}, {82, 157}, {84, 128}, {116, 160}, {85, 129}, {86, 130}, {87, 131}, {92, 136}, {93, 137}, {94, 138}, {95, 139}, {88, 132}, {89, 133}, {90, 134}, {91, 135}, {93, 128}, {95, 130}, {94, 129}, {96, 131}, {120, 155}, {116, 151}, {100, 135}, {104, 139}, {108, 143}, {112, 147}, {97, 132}, {99, 134}, {105, 140}, {107, 142}, {113, 148}, {115, 150}, {98, 133}, {106, 141}, {114, 149}, {96, 140}, {97, 141}, {98, 142}, {99, 143}, {112, 156}, {113, 157}, {114, 158}, {115, 159}, {101, 136}, {119, 154}, {117, 152}, {103, 138}, {102, 137}, {118, 153}, {100, 144}, {101, 145}, {102, 146}, {103, 147}, {108, 152}, {109, 153}, {110, 154}, {111, 155}, {85, 160}, {104, 148}, {105, 149}, {106, 150}, {107, 151}, {109, 144}, {111, 146}, {110, 145} }>;

(II) A more general form is to represent the graph as the orbit of {80, 82} under the group generated by the following permutations:

a: (1, 41, 120, 124, 11, 51, 90, 134, 21, 61, 100, 144, 31, 71, 110, 154)(2, 78, 89, 137, 12, 48, 99, 147, 22, 58, 109, 157, 32, 68, 119, 127)(3, 75, 98, 150, 13, 45, 108, 160, 23, 55, 118, 130, 33, 65, 88, 140)(4, 72, 107, 123, 14, 42, 117, 133, 24, 52, 87, 143, 34, 62, 97, 153)(5, 69, 116, 136, 15, 79, 86, 146, 25, 49, 96, 156, 35, 59, 106, 126)(6, 66, 85, 149, 16, 76, 95, 159, 26, 46, 105, 129, 36, 56, 115, 139)(7, 63, 94, 122, 17, 73, 104, 132, 27, 43, 114, 142, 37, 53, 84, 152)(8, 60, 103, 135, 18, 70, 113, 145, 28, 80, 83, 155, 38, 50, 93, 125)(9, 57, 112, 148, 19, 67, 82, 158, 29, 77, 92, 128, 39, 47, 102, 138)(10, 54, 81, 121, 20, 64, 91, 131, 30, 74, 101, 141, 40, 44, 111, 151)
b: (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, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160)
c: (2, 40)(3, 39)(4, 38)(5, 37)(6, 36)(7, 35)(8, 34)(9, 33)(10, 32)(11, 31)(12, 30)(13, 29)(14, 28)(15, 27)(16, 26)(17, 25)(18, 24)(19, 23)(20, 22)(41, 80)(42, 79)(43, 78)(44, 77)(45, 76)(46, 75)(47, 74)(48, 73)(49, 72)(50, 71)(51, 70)(52, 69)(53, 68)(54, 67)(55, 66)(56, 65)(57, 64)(58, 63)(59, 62)(60, 61)(82, 120)(83, 119)(84, 118)(85, 117)(86, 116)(87, 115)(88, 114)(89, 113)(90, 112)(91, 111)(92, 110)(93, 109)(94, 108)(95, 107)(96, 106)(97, 105)(98, 104)(99, 103)(100, 102)(121, 160)(122, 159)(123, 158)(124, 157)(125, 156)(126, 155)(127, 154)(128, 153)(129, 152)(130, 151)(131, 150)(132, 149)(133, 148)(134, 147)(135, 146)(136, 145)(137, 144)(138, 143)(139, 142)(140, 141)

(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[ 160, 19 ]
160
-1 154 80 127 41
-2 155 128 41 42
-3 156 129 42 43
-4 44 157 130 43
-5 44 45 158 131
-6 132 45 46 159
-7 133 46 47 160
-8 121 134 47 48
-9 122 135 48 49
-10 123 136 49 50
-11 124 137 50 51
-12 125 138 51 52
-13 126 139 52 53
-14 127 140 53 54
-15 55 128 141 54
-16 55 56 129 142
-17 143 56 57 130
-18 144 57 58 131
-19 132 145 58 59
-20 133 146 59 60
-21 134 147 60 61
-22 135 148 61 62
-23 136 149 62 63
-24 137 150 63 64
-25 138 151 64 65
-26 66 139 152 65
-27 66 67 140 153
-28 154 67 68 141
-29 155 68 69 142
-30 143 156 69 70
-31 144 157 70 71
-32 145 158 71 72
-33 146 159 72 73
-34 147 160 73 74
-35 121 148 74 75
-36 122 149 75 76
-37 77 123 150 76
-38 77 78 124 151
-39 78 79 125 152
-40 79 80 126 153
-41 1 2 83 120
-42 2 3 81 84
-43 3 4 82 85
-44 4 5 83 86
-45 5 6 84 87
-46 88 6 7 85
-47 89 7 8 86
-48 90 8 9 87
-49 88 91 9 10
-50 11 89 92 10
-51 11 12 90 93
-52 12 13 91 94
-53 13 14 92 95
-54 14 15 93 96
-55 15 16 94 97
-56 16 17 95 98
-57 99 17 18 96
-58 100 18 19 97
-59 101 19 20 98
-60 99 102 20 21
-61 22 100 103 21
-62 22 23 101 104
-63 23 24 102 105
-64 24 25 103 106
-65 25 26 104 107
-66 26 27 105 108
-67 27 28 106 109
-68 110 28 29 107
-69 111 29 30 108
-70 112 30 31 109
-71 110 113 31 32
-72 33 111 114 32
-73 33 34 112 115
-74 34 35 113 116
-75 35 36 114 117
-76 36 37 115 118
-77 37 38 116 119
-78 38 39 117 120
-79 81 39 40 118
-80 1 82 40 119
-81 79 156 125 42
-82 80 157 126 43
-83 44 158 127 41
-84 45 159 128 42
-85 46 160 129 43
-86 44 121 47 130
-87 45 122 48 131
-88 132 46 123 49
-89 133 47 124 50
-90 134 48 125 51
-91 135 49 126 52
-92 136 50 127 53
-93 137 51 128 54
-94 55 138 52 129
-95 56 139 53 130
-96 57 140 54 131
-97 55 132 58 141
-98 56 133 59 142
-99 143 57 134 60
-100 144 58 135 61
-101 145 59 136 62
-102 146 60 137 63
-103 147 61 138 64
-104 148 62 139 65
-105 66 149 63 140
-106 67 150 64 141
-107 68 151 65 142
-108 66 143 69 152
-109 67 144 70 153
-110 154 68 145 71
-111 155 69 146 72
-112 156 70 147 73
-113 157 71 148 74
-114 158 72 149 75
-115 159 73 150 76
-116 77 160 74 151
-117 121 78 75 152
-118 122 79 76 153
-119 77 154 123 80
-120 78 155 124 41
-121 35 117 8 86
-122 36 118 9 87
-123 88 37 119 10
-124 11 89 38 120
-125 12 90 81 39
-126 13 91 82 40
-127 1 14 92 83
-128 2 15 93 84
-129 3 16 94 85
-130 4 17 95 86
-131 5 18 96 87
-132 88 6 19 97
-133 89 7 20 98
-134 99 90 8 21
-135 22 100 91 9
-136 23 101 92 10
-137 11 24 102 93
-138 12 25 103 94
-139 13 26 104 95
-140 14 27 105 96
-141 15 28 106 97
-142 16 29 107 98
-143 99 17 30 108
-144 100 18 31 109
-145 110 101 19 32
-146 33 111 102 20
-147 34 112 103 21
-148 22 35 113 104
-149 23 36 114 105
-150 24 37 115 106
-151 25 38 116 107
-152 26 39 117 108
-153 27 40 118 109
-154 110 1 28 119
-155 111 2 29 120
-156 112 3 81 30
-157 113 4 82 31
-158 114 5 83 32
-159 33 115 6 84
-160 34 116 7 85
0

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