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

On this page are computer-accessible forms for the graph C4[ 160, 80 ] = SS[160,26].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {112, 113} under the group generated by the following permutations:

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

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

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