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

On this page are computer-accessible forms for the graph C4[ 162, 7 ] = CPM(3,3,2,1).

(I) Following is a form readable by MAGMA:

g:=Graph<162|{ {38, 39}, {72, 73}, {148, 150}, {28, 31}, {125, 126}, {49, 50}, {18, 22}, {27, 31}, {27, 30}, {104, 110}, {130, 132}, {43, 44}, {152, 159}, {137, 142}, {51, 52}, {81, 89}, {39, 45}, {146, 152}, {80, 90}, {114, 120}, {32, 43}, {86, 93}, {102, 106}, {117, 121}, {36, 41}, {151, 154}, {112, 125}, {4, 10}, {79, 95}, {102, 118}, {36, 53}, {110, 127}, {38, 52}, {143, 157}, {103, 117}, {3, 16}, {65, 82}, {103, 116}, {2, 22}, {131, 151}, {40, 60}, {72, 92}, {12, 25}, {43, 60}, {66, 85}, {15, 23}, {98, 122}, {74, 83}, {96, 121}, {73, 83}, {38, 61}, {136, 151}, {143, 144}, {75, 107}, {76, 108}, {6, 39}, {129, 160}, {7, 38}, {68, 101}, {69, 100}, {66, 96}, {67, 96}, {74, 105}, {91, 120}, {1, 37}, {132, 160}, {26, 62}, {27, 62}, {79, 105}, {2, 37}, {21, 50}, {8, 47}, {90, 125}, {91, 124}, {137, 161}, {8, 33}, {78, 103}, {82, 123}, {13, 39}, {88, 114}, {9, 34}, {24, 53}, {73, 100}, {92, 113}, {3, 45}, {22, 56}, {14, 32}, {12, 34}, {77, 98}, {20, 36}, {19, 34}, {64, 113}, {65, 112}, {30, 44}, {85, 103}, {2, 49}, {145, 162}, {9, 58}, {68, 119}, {79, 124}, {9, 61}, {87, 99}, {92, 105}, {68, 114}, {20, 35}, {95, 104}, {75, 115}, {153, 161}, {7, 62}, {29, 36}, {18, 43}, {14, 55}, {11, 50}, {4, 63}, {17, 42}, {12, 55}, {10, 49}, {77, 118}, {6, 58}, {16, 44}, {64, 124}, {83, 109}, {70, 121}, {82, 109}, {11, 74}, {26, 88}, {58, 120}, {28, 94}, {56, 124}, {45, 104}, {2, 68}, {53, 115}, {23, 81}, {13, 75}, {60, 122}, {47, 104}, {54, 126}, {5, 76}, {30, 84}, {35, 111}, {1, 76}, {55, 122}, {14, 64}, {47, 97}, {20, 90}, {45, 98}, {46, 97}, {11, 91}, {29, 77}, {21, 69}, {12, 93}, {51, 98}, {42, 123}, {25, 72}, {24, 73}, {22, 71}, {1, 82}, {63, 107}, {40, 125}, {26, 66}, {24, 65}, {63, 102}, {11, 81}, {62, 101}, {49, 108}, {16, 78}, {48, 110}, {33, 127}, {15, 110}, {47, 78}, {41, 72}, {17, 112}, {23, 116}, {9, 109}, {15, 107}, {3, 102}, {59, 94}, {58, 95}, {42, 79}, {35, 70}, {15, 105}, {48, 86}, {13, 106}, {51, 84}, {55, 95}, {25, 112}, {52, 94}, {4, 111}, {53, 94}, {17, 122}, {18, 126}, {42, 71}, {59, 86}, {51, 93}, {14, 97}, {4, 116}, {33, 81}, {8, 120}, {6, 119}, {13, 127}, {46, 93}, {33, 85}, {16, 101}, {5, 115}, {29, 107}, {27, 99}, {59, 67}, {40, 84}, {57, 69}, {6, 123}, {48, 77}, {31, 96}, {41, 86}, {40, 87}, {19, 146}, {30, 159}, {31, 157}, {29, 158}, {3, 134}, {21, 144}, {19, 150}, {10, 143}, {5, 128}, {7, 128}, {41, 160}, {5, 143}, {1, 138}, {21, 153}, {7, 138}, {26, 148}, {17, 158}, {28, 141}, {23, 132}, {25, 142}, {20, 141}, {59, 162}, {18, 136}, {19, 137}, {8, 148}, {28, 128}, {10, 149}, {24, 135}, {61, 162}, {37, 133}, {56, 154}, {56, 155}, {57, 157}, {50, 154}, {61, 148}, {34, 140}, {54, 152}, {44, 156}, {46, 159}, {48, 130}, {63, 139}, {54, 131}, {32, 152}, {54, 142}, {52, 140}, {46, 150}, {60, 134}, {32, 155}, {37, 153}, {57, 133}, {35, 157}, {57, 135}, {85, 149}, {71, 134}, {88, 153}, {67, 129}, {83, 145}, {92, 158}, {70, 131}, {69, 131}, {89, 145}, {89, 144}, {88, 146}, {76, 135}, {71, 139}, {109, 161}, {65, 140}, {64, 142}, {80, 158}, {66, 144}, {67, 150}, {78, 155}, {75, 147}, {80, 136}, {89, 129}, {74, 147}, {84, 141}, {80, 139}, {87, 140}, {87, 138}, {127, 162}, {90, 135}, {115, 145}, {97, 130}, {100, 129}, {70, 160}, {121, 159}, {99, 133}, {113, 151}, {108, 139}, {111, 136}, {123, 147}, {114, 155}, {117, 156}, {106, 128}, {118, 156}, {100, 137}, {116, 154}, {101, 149}, {99, 146}, {119, 134}, {111, 156}, {113, 132}, {117, 130}, {91, 161}, {118, 141}, {126, 133}, {119, 138}, {106, 149}, {108, 147} }>;

(II) A more general form is to represent the graph as the orbit of {38, 39} under the group generated by the following permutations:

a: (2, 123)(4, 107)(6, 68)(9, 88)(10, 75)(12, 152)(13, 149)(15, 116)(16, 45)(17, 18)(21, 83)(22, 42)(24, 57)(25, 54)(26, 61)(27, 52)(29, 111)(30, 51)(31, 94)(32, 55)(34, 146)(35, 36)(37, 82)(38, 62)(39, 101)(41, 70)(43, 122)(44, 98)(48, 117)(49, 147)(50, 74)(53, 157)(56, 79)(58, 114)(59, 96)(65, 133)(66, 162)(69, 73)(72, 131)(77, 156)(78, 104)(85, 127)(86, 121)(92, 151)(93, 159)(95, 155)(99, 140)(103, 110)(105, 154)(109, 153)(112, 126)(115, 143)(136, 158)(144, 145)
b: (1, 2, 71, 123)(3, 75, 7, 10)(4, 45, 115, 62)(5, 101, 63, 39)(6, 76, 68, 139)(8, 20)(9, 57, 155, 158)(11, 40)(12, 100, 152, 113)(13, 128, 149, 102)(14, 72, 19, 131)(15, 52, 144, 44)(16, 107, 38, 143)(17, 109, 133, 56)(18, 79, 65, 153)(21, 43, 105, 140)(22, 42, 82, 37)(23, 51, 89, 30)(24, 88, 136, 95)(25, 137, 54, 64)(26, 111, 104, 53)(27, 116, 98, 145)(28, 85, 118, 127)(29, 61, 157, 78)(31, 103, 77, 162)(32, 92, 34, 69)(33, 141)(35, 47, 36, 148)(41, 150, 70, 97)(46, 160)(48, 59, 96, 117)(49, 134, 147, 138)(50, 60, 74, 87)(55, 73, 146, 151)(58, 135, 114, 80)(66, 156, 110, 94)(67, 121, 130, 86)(81, 84)(83, 99, 154, 122)(90, 120)(91, 125)(93, 129, 159, 132)(108, 119)(112, 161, 126, 124)
c: (2, 108, 123, 119)(3, 56, 63, 79)(4, 105, 45, 155)(5, 109, 7, 153)(6, 68, 49, 147)(8, 85, 81, 127)(9, 62, 21, 115)(10, 74, 39, 114)(11, 13, 120, 149)(12, 30, 131, 36)(14, 156, 113, 77)(15, 104, 78, 116)(16, 154, 107, 95)(17, 60, 18, 80)(19, 31, 100, 94)(20, 25, 84, 54)(22, 139, 42, 134)(23, 110, 47, 103)(24, 140, 99, 57)(26, 144, 145, 61)(27, 69, 53, 34)(28, 137)(29, 55, 44, 151)(32, 111, 92, 98)(35, 72, 51, 152)(37, 76, 82, 138)(38, 88, 143, 83)(40, 126, 90, 112)(41, 93, 159, 70)(43, 136, 158, 122)(46, 121, 160, 86)(48, 97, 117, 132)(50, 75, 58, 101)(52, 146, 157, 73)(59, 150, 96, 129)(64, 118)(65, 87, 133, 135)(66, 89, 162, 148)(91, 106)(102, 124)(128, 161)(141, 142)
d: (2, 87, 123, 135)(3, 25, 63, 54)(4, 152, 45, 72)(5, 153, 7, 109)(6, 24, 49, 99)(8, 59, 81, 96)(9, 115, 21, 62)(10, 146, 39, 73)(11, 31, 120, 94)(12, 107, 131, 16)(13, 100, 149, 19)(14, 77, 113, 156)(15, 70, 78, 93)(17, 80, 18, 60)(20, 56, 84, 79)(22, 40, 42, 90)(23, 121, 47, 86)(26, 61, 145, 144)(27, 58, 53, 50)(28, 91)(29, 151, 44, 55)(30, 95, 36, 154)(32, 98, 92, 111)(33, 67)(34, 75, 69, 101)(35, 155, 51, 105)(37, 138, 82, 76)(38, 83, 143, 88)(41, 116, 159, 104)(43, 122, 158, 136)(46, 110, 160, 103)(48, 132, 117, 97)(52, 74, 157, 114)(57, 68, 140, 147)(64, 118)(65, 108, 133, 119)(66, 148, 162, 89)(71, 125)(85, 150, 127, 129)(102, 142)(106, 137)(112, 139, 126, 134)(124, 141)(128, 161)
e: (1, 4, 64, 99, 118, 95)(2, 136, 32, 40, 3, 42)(5, 23, 137, 31, 48, 9)(6, 108, 154, 54, 30, 98)(7, 107, 91, 57, 117, 12)(8, 24, 85, 72, 26, 36)(10, 113, 146, 141, 104, 82)(11, 69, 121, 93, 38, 75)(13, 74, 21, 70, 46, 52)(14, 87, 102, 79, 37, 111)(15, 161, 157, 130, 34, 128)(16, 17, 68, 80, 155, 125)(18, 43, 60, 134, 71, 22)(19, 28, 110, 109, 143, 132)(20, 47, 65, 149, 92, 88)(25, 62, 29, 120, 135, 103)(27, 77, 58, 76, 116, 142)(33, 73, 66, 41, 148, 53)(35, 97, 140, 106, 105, 153)(39, 147, 50, 131, 159, 51)(44, 122, 119, 139, 56, 126)(45, 123, 49, 151, 152, 84)(55, 138, 63, 124, 133, 156)(59, 162, 145, 89, 129, 67)(61, 115, 81, 100, 96, 86)(78, 112, 101, 158, 114, 90)(83, 144, 160, 150, 94, 127)

(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[ 162, 7 ]
162
-1 37 82 138 76
-2 22 68 37 49
-3 45 134 102 16
-4 111 116 63 10
-5 143 115 128 76
-6 123 58 39 119
-7 38 138 62 128
-8 33 47 148 120
-9 34 58 61 109
-10 143 4 49 149
-11 91 81 50 74
-12 55 34 25 93
-13 39 127 106 75
-14 55 64 97 32
-15 110 23 105 107
-16 44 78 101 3
-17 122 112 158 42
-18 22 136 126 43
-19 34 146 137 150
-20 35 90 36 141
-21 144 69 50 153
-22 56 2 71 18
-23 132 15 81 116
-24 135 73 53 65
-25 12 112 72 142
-26 66 88 148 62
-27 99 62 30 31
-28 94 128 31 141
-29 77 36 158 107
-30 44 27 159 84
-31 157 27 28 96
-32 155 14 152 43
-33 81 127 8 85
-34 12 19 140 9
-35 111 157 70 20
-36 29 41 20 53
-37 1 133 2 153
-38 39 61 7 52
-39 45 13 38 6
-40 125 60 84 87
-41 36 72 160 86
-42 79 123 71 17
-43 44 60 18 32
-44 156 16 30 43
-45 3 104 39 98
-46 93 159 150 97
-47 78 104 8 97
-48 77 110 86 130
-49 2 50 108 10
-50 11 154 49 21
-51 93 84 52 98
-52 38 94 51 140
-53 24 36 115 94
-54 126 152 131 142
-55 12 122 14 95
-56 22 154 155 124
-57 133 69 135 157
-58 6 95 9 120
-59 67 94 162 86
-60 122 134 40 43
-61 38 148 162 9
-62 101 26 27 7
-63 102 4 139 107
-64 14 113 124 142
-65 24 112 82 140
-66 144 26 85 96
-67 59 150 96 129
-68 2 101 114 119
-69 100 57 21 131
-70 121 35 160 131
-71 22 134 139 42
-72 25 92 73 41
-73 100 24 72 83
-74 11 147 83 105
-75 13 147 115 107
-76 1 135 5 108
-77 48 29 118 98
-78 155 47 103 16
-79 124 105 95 42
-80 90 136 158 139
-81 11 33 23 89
-82 1 123 65 109
-83 145 73 74 109
-84 40 51 30 141
-85 33 66 103 149
-86 48 59 93 41
-87 99 138 40 140
-88 146 26 114 153
-89 144 145 81 129
-90 80 135 125 20
-91 11 124 161 120
-92 113 158 72 105
-93 12 46 51 86
-94 59 28 52 53
-95 55 79 58 104
-96 66 121 67 31
-97 46 14 47 130
-98 77 45 122 51
-99 133 146 27 87
-100 69 137 73 129
-101 68 16 149 62
-102 3 106 63 118
-103 78 116 117 85
-104 110 45 47 95
-105 79 15 92 74
-106 13 102 149 128
-107 15 29 63 75
-108 147 49 139 76
-109 82 83 161 9
-110 15 48 104 127
-111 35 156 4 136
-112 25 125 17 65
-113 132 92 151 64
-114 88 155 68 120
-115 145 5 53 75
-116 154 23 4 103
-117 121 156 103 130
-118 77 156 102 141
-119 68 134 6 138
-120 58 91 114 8
-121 70 159 117 96
-122 55 60 17 98
-123 147 82 6 42
-124 56 79 91 64
-125 90 112 126 40
-126 133 125 18 54
-127 33 110 13 162
-128 5 28 7 106
-129 67 89 100 160
-130 132 48 117 97
-131 69 70 151 54
-132 23 113 160 130
-133 99 57 37 126
-134 3 60 71 119
-135 24 57 90 76
-136 111 80 18 151
-137 100 161 19 142
-138 1 7 119 87
-139 80 71 63 108
-140 34 52 65 87
-141 28 84 118 20
-142 25 137 64 54
-143 144 157 5 10
-144 66 143 89 21
-145 89 115 83 162
-146 88 99 19 152
-147 123 74 75 108
-148 26 61 150 8
-149 101 106 85 10
-150 67 46 148 19
-151 154 113 136 131
-152 146 159 32 54
-153 88 37 161 21
-154 56 50 116 151
-155 56 78 114 32
-156 44 111 117 118
-157 143 35 57 31
-158 80 92 17 29
-159 121 46 30 152
-160 132 70 41 129
-161 91 137 109 153
-162 145 59 61 127
0

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