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

On this page are computer-accessible forms for the graph C4[ 160, 28 ] = MSY(4,40,21,12).

(I) Following is a form readable by MAGMA:

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

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

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