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

On this page are computer-accessible forms for the graph C4[ 156, 3 ] = C_156(1,53).

(I) Following is a form readable by MAGMA:

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

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

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