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

On this page are computer-accessible forms for the graph C4[ 160, 51 ] = UG(ATD[160,62]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {30, 31} under the group generated by the following permutations:

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

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

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