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

On this page are computer-accessible forms for the graph C4[ 155, 3 ] = PS(5,31;4).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {124, 126} under the group generated by the following permutations:

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

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

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