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

On this page are computer-accessible forms for the graph C4[ 160, 29 ] = MSZ(20,8,3,3).

(I) Following is a form readable by MAGMA:

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

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