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

On this page are computer-accessible forms for the graph C4[ 160, 40 ] = KE_40(1,5,18,33,19).

(I) Following is a form readable by MAGMA:

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

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

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

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