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

On this page are computer-accessible forms for the graph C4[ 174, 2 ] = C_174(1,59).

(I) Following is a form readable by MAGMA:

g:=Graph<174|{ {2, 3}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156, 157}, {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}, {124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {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}, {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}, {1, 2}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {3, 4}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {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}, {7, 8}, {167, 168}, {151, 152}, {135, 136}, {119, 120}, {55, 56}, {39, 40}, {23, 24}, {71, 72}, {87, 88}, {103, 104}, {15, 16}, {143, 144}, {111, 112}, {47, 48}, {79, 80}, {4, 63}, {64, 123}, {68, 127}, {1, 60}, {3, 62}, {65, 124}, {67, 126}, {2, 61}, {159, 160}, {31, 32}, {66, 125}, {95, 96}, {5, 64}, {55, 114}, {53, 112}, {47, 106}, {45, 104}, {39, 98}, {37, 96}, {7, 66}, {13, 72}, {15, 74}, {21, 80}, {23, 82}, {29, 88}, {31, 90}, {61, 120}, {63, 122}, {6, 65}, {54, 113}, {46, 105}, {38, 97}, {14, 73}, {22, 81}, {30, 89}, {62, 121}, {8, 67}, {44, 103}, {40, 99}, {12, 71}, {24, 83}, {28, 87}, {56, 115}, {60, 119}, {9, 68}, {43, 102}, {41, 100}, {11, 70}, {25, 84}, {27, 86}, {57, 116}, {59, 118}, {10, 69}, {42, 101}, {26, 85}, {58, 117}, {16, 75}, {52, 111}, {48, 107}, {20, 79}, {17, 76}, {51, 110}, {49, 108}, {19, 78}, {18, 77}, {50, 109}, {4, 119}, {8, 123}, {12, 127}, {1, 116}, {3, 118}, {9, 124}, {11, 126}, {2, 117}, {10, 125}, {32, 91}, {36, 95}, {5, 120}, {7, 122}, {33, 92}, {35, 94}, {6, 121}, {34, 93}, {63, 64}, {13, 128}, {47, 162}, {45, 160}, {15, 130}, {29, 144}, {31, 146}, {14, 129}, {46, 161}, {30, 145}, {16, 131}, {52, 167}, {48, 163}, {20, 135}, {24, 139}, {28, 143}, {56, 171}, {17, 132}, {51, 166}, {49, 164}, {19, 134}, {25, 140}, {27, 142}, {57, 172}, {59, 174}, {18, 133}, {50, 165}, {26, 141}, {58, 173}, {21, 136}, {53, 168}, {23, 138}, {55, 170}, {22, 137}, {54, 169}, {1, 174}, {32, 147}, {44, 159}, {40, 155}, {36, 151}, {33, 148}, {43, 158}, {41, 156}, {35, 150}, {34, 149}, {42, 157}, {37, 152}, {39, 154}, {38, 153}, {69, 128}, {111, 170}, {109, 168}, {71, 130}, {77, 136}, {79, 138}, {85, 144}, {87, 146}, {93, 152}, {95, 154}, {101, 160}, {103, 162}, {70, 129}, {110, 169}, {78, 137}, {86, 145}, {94, 153}, {102, 161}, {72, 131}, {76, 135}, {88, 147}, {92, 151}, {104, 163}, {108, 167}, {73, 132}, {75, 134}, {89, 148}, {91, 150}, {105, 164}, {107, 166}, {74, 133}, {90, 149}, {106, 165}, {80, 139}, {112, 171}, {84, 143}, {81, 140}, {115, 174}, {113, 172}, {83, 142}, {82, 141}, {114, 173}, {96, 155}, {100, 159}, {97, 156}, {99, 158}, {98, 157}, {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, 57)(4, 172)(5, 113)(6, 54)(7, 169)(8, 110)(9, 51)(10, 166)(11, 107)(12, 48)(13, 163)(14, 104)(15, 45)(16, 160)(17, 101)(18, 42)(19, 157)(20, 98)(21, 39)(22, 154)(23, 95)(24, 36)(25, 151)(26, 92)(27, 33)(28, 148)(29, 89)(31, 145)(32, 86)(34, 142)(35, 83)(37, 139)(38, 80)(40, 136)(41, 77)(43, 133)(44, 74)(46, 130)(47, 71)(49, 127)(50, 68)(52, 124)(53, 65)(55, 121)(56, 62)(58, 118)(60, 174)(61, 115)(63, 171)(64, 112)(66, 168)(67, 109)(69, 165)(70, 106)(72, 162)(73, 103)(75, 159)(76, 100)(78, 156)(79, 97)(81, 153)(82, 94)(84, 150)(85, 91)(87, 147)(90, 144)(93, 141)(96, 138)(99, 135)(102, 132)(105, 129)(108, 126)(111, 123)(114, 120)(119, 173)(122, 170)(125, 167)(128, 164)(131, 161)(134, 158)(137, 155)(140, 152)(143, 149)
b: (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, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174)
c: (2, 60)(3, 119)(5, 63)(6, 122)(8, 66)(9, 125)(11, 69)(12, 128)(14, 72)(15, 131)(17, 75)(18, 134)(20, 78)(21, 137)(23, 81)(24, 140)(26, 84)(27, 143)(29, 87)(30, 146)(32, 90)(33, 149)(35, 93)(36, 152)(38, 96)(39, 155)(41, 99)(42, 158)(44, 102)(45, 161)(47, 105)(48, 164)(50, 108)(51, 167)(53, 111)(54, 170)(56, 114)(57, 173)(59, 117)(62, 120)(65, 123)(68, 126)(71, 129)(74, 132)(77, 135)(80, 138)(83, 141)(86, 144)(89, 147)(92, 150)(95, 153)(98, 156)(101, 159)(104, 162)(107, 165)(110, 168)(113, 171)(116, 174)

(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[ 174, 2 ]
174
-1 2 60 116 174
-2 1 3 61 117
-3 2 4 62 118
-4 3 5 63 119
-5 4 6 64 120
-6 121 5 7 65
-7 66 122 6 8
-8 67 123 7 9
-9 68 124 8 10
-10 11 69 125 9
-11 12 70 126 10
-12 11 13 71 127
-13 12 14 72 128
-14 13 15 73 129
-15 14 16 74 130
-16 15 17 75 131
-17 132 16 18 76
-18 77 133 17 19
-19 78 134 18 20
-20 79 135 19 21
-21 22 80 136 20
-22 23 81 137 21
-23 22 24 82 138
-24 23 25 83 139
-25 24 26 84 140
-26 25 27 85 141
-27 26 28 86 142
-28 143 27 29 87
-29 88 144 28 30
-30 89 145 29 31
-31 90 146 30 32
-32 33 91 147 31
-33 34 92 148 32
-34 33 35 93 149
-35 34 36 94 150
-36 35 37 95 151
-37 36 38 96 152
-38 37 39 97 153
-39 154 38 40 98
-40 99 155 39 41
-41 100 156 40 42
-42 101 157 41 43
-43 44 102 158 42
-44 45 103 159 43
-45 44 46 104 160
-46 45 47 105 161
-47 46 48 106 162
-48 47 49 107 163
-49 48 50 108 164
-50 165 49 51 109
-51 110 166 50 52
-52 111 167 51 53
-53 112 168 52 54
-54 55 113 169 53
-55 56 114 170 54
-56 55 57 115 171
-57 56 58 116 172
-58 57 59 117 173
-59 58 60 118 174
-60 1 59 61 119
-61 2 60 62 120
-62 121 3 61 63
-63 122 4 62 64
-64 123 5 63 65
-65 66 124 6 64
-66 67 125 7 65
-67 66 68 126 8
-68 67 69 127 9
-69 68 70 128 10
-70 11 69 71 129
-71 12 70 72 130
-72 13 71 73 131
-73 132 14 72 74
-74 133 15 73 75
-75 134 16 74 76
-76 77 135 17 75
-77 78 136 18 76
-78 77 79 137 19
-79 78 80 138 20
-80 79 81 139 21
-81 22 80 82 140
-82 23 81 83 141
-83 24 82 84 142
-84 143 25 83 85
-85 144 26 84 86
-86 145 27 85 87
-87 88 146 28 86
-88 89 147 29 87
-89 88 90 148 30
-90 89 91 149 31
-91 90 92 150 32
-92 33 91 93 151
-93 34 92 94 152
-94 35 93 95 153
-95 154 36 94 96
-96 155 37 95 97
-97 156 38 96 98
-98 99 157 39 97
-99 100 158 40 98
-100 99 101 159 41
-101 100 102 160 42
-102 101 103 161 43
-103 44 102 104 162
-104 45 103 105 163
-105 46 104 106 164
-106 165 47 105 107
-107 166 48 106 108
-108 167 49 107 109
-109 110 168 50 108
-110 111 169 51 109
-111 110 112 170 52
-112 111 113 171 53
-113 112 114 172 54
-114 55 113 115 173
-115 56 114 116 174
-116 1 57 115 117
-117 2 58 116 118
-118 3 59 117 119
-119 4 60 118 120
-120 121 5 61 119
-121 122 6 62 120
-122 121 123 7 63
-123 122 124 8 64
-124 123 125 9 65
-125 66 124 126 10
-126 11 67 125 127
-127 12 68 126 128
-128 13 69 127 129
-129 14 70 128 130
-130 15 71 129 131
-131 132 16 72 130
-132 133 17 73 131
-133 132 134 18 74
-134 133 135 19 75
-135 134 136 20 76
-136 77 135 137 21
-137 22 78 136 138
-138 23 79 137 139
-139 24 80 138 140
-140 25 81 139 141
-141 26 82 140 142
-142 143 27 83 141
-143 144 28 84 142
-144 143 145 29 85
-145 144 146 30 86
-146 145 147 31 87
-147 88 146 148 32
-148 33 89 147 149
-149 34 90 148 150
-150 35 91 149 151
-151 36 92 150 152
-152 37 93 151 153
-153 154 38 94 152
-154 155 39 95 153
-155 154 156 40 96
-156 155 157 41 97
-157 156 158 42 98
-158 99 157 159 43
-159 44 100 158 160
-160 45 101 159 161
-161 46 102 160 162
-162 47 103 161 163
-163 48 104 162 164
-164 165 49 105 163
-165 166 50 106 164
-166 165 167 51 107
-167 166 168 52 108
-168 167 169 53 109
-169 110 168 170 54
-170 55 111 169 171
-171 56 112 170 172
-172 57 113 171 173
-173 58 114 172 174
-174 1 59 115 173
0

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