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

On this page are computer-accessible forms for the graph C4[ 177, 1 ] = C_177(1,58).

(I) Following is a form readable by MAGMA:

g:=Graph<177|{ {2, 3}, {176, 177}, {174, 175}, {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}, {108, 109}, {106, 107}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {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}, {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}, {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}, {107, 108}, {51, 52}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {7, 8}, {167, 168}, {151, 152}, {135, 136}, {119, 120}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {103, 104}, {15, 16}, {175, 176}, {143, 144}, {111, 112}, {47, 48}, {79, 80}, {1, 59}, {4, 62}, {5, 63}, {64, 122}, {65, 123}, {68, 126}, {69, 127}, {2, 60}, {3, 61}, {66, 124}, {67, 125}, {31, 32}, {159, 160}, {95, 96}, {6, 64}, {47, 105}, {46, 104}, {39, 97}, {38, 96}, {7, 65}, {14, 72}, {15, 73}, {22, 80}, {23, 81}, {30, 88}, {31, 89}, {54, 112}, {55, 113}, {62, 120}, {63, 121}, {8, 66}, {45, 103}, {44, 102}, {41, 99}, {40, 98}, {9, 67}, {12, 70}, {13, 71}, {24, 82}, {25, 83}, {28, 86}, {29, 87}, {56, 114}, {57, 115}, {60, 118}, {61, 119}, {10, 68}, {43, 101}, {42, 100}, {11, 69}, {26, 84}, {27, 85}, {58, 116}, {59, 117}, {16, 74}, {53, 111}, {52, 110}, {49, 107}, {48, 106}, {17, 75}, {20, 78}, {21, 79}, {18, 76}, {51, 109}, {50, 108}, {19, 77}, {8, 127}, {1, 120}, {3, 122}, {5, 124}, {7, 126}, {32, 90}, {37, 95}, {36, 94}, {33, 91}, {2, 121}, {6, 125}, {34, 92}, {35, 93}, {4, 123}, {63, 64}, {9, 128}, {47, 166}, {45, 164}, {43, 162}, {41, 160}, {11, 130}, {13, 132}, {15, 134}, {25, 144}, {27, 146}, {29, 148}, {31, 150}, {57, 176}, {10, 129}, {46, 165}, {42, 161}, {14, 133}, {26, 145}, {30, 149}, {58, 177}, {12, 131}, {44, 163}, {28, 147}, {16, 135}, {48, 167}, {24, 143}, {56, 175}, {17, 136}, {53, 172}, {51, 170}, {49, 168}, {19, 138}, {21, 140}, {23, 142}, {55, 174}, {18, 137}, {50, 169}, {22, 141}, {54, 173}, {20, 139}, {52, 171}, {1, 177}, {32, 151}, {40, 159}, {33, 152}, {39, 158}, {37, 156}, {35, 154}, {34, 153}, {38, 157}, {36, 155}, {70, 128}, {119, 177}, {118, 176}, {111, 169}, {110, 168}, {71, 129}, {78, 136}, {79, 137}, {86, 144}, {87, 145}, {94, 152}, {95, 153}, {102, 160}, {103, 161}, {72, 130}, {109, 167}, {108, 166}, {105, 163}, {73, 131}, {76, 134}, {77, 135}, {88, 146}, {89, 147}, {92, 150}, {93, 151}, {104, 162}, {74, 132}, {107, 165}, {106, 164}, {75, 133}, {90, 148}, {91, 149}, {80, 138}, {117, 175}, {116, 174}, {113, 171}, {112, 170}, {81, 139}, {84, 142}, {85, 143}, {82, 140}, {115, 173}, {114, 172}, {83, 141}, {96, 154}, {97, 155}, {100, 158}, {101, 159}, {98, 156}, {99, 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, 59)(3, 117)(4, 175)(5, 56)(6, 114)(7, 172)(8, 53)(9, 111)(10, 169)(11, 50)(12, 108)(13, 166)(14, 47)(15, 105)(16, 163)(17, 44)(18, 102)(19, 160)(20, 41)(21, 99)(22, 157)(23, 38)(24, 96)(25, 154)(26, 35)(27, 93)(28, 151)(29, 32)(30, 90)(31, 148)(33, 87)(34, 145)(36, 84)(37, 142)(39, 81)(40, 139)(42, 78)(43, 136)(45, 75)(46, 133)(48, 72)(49, 130)(51, 69)(52, 127)(54, 66)(55, 124)(57, 63)(58, 121)(61, 118)(62, 176)(64, 115)(65, 173)(67, 112)(68, 170)(70, 109)(71, 167)(73, 106)(74, 164)(76, 103)(77, 161)(79, 100)(80, 158)(82, 97)(83, 155)(85, 94)(86, 152)(88, 91)(89, 149)(92, 146)(95, 143)(98, 140)(101, 137)(104, 134)(107, 131)(110, 128)(113, 125)(116, 122)(120, 177)(123, 174)(126, 171)(129, 168)(132, 165)(135, 162)(138, 159)(141, 156)(144, 153)(147, 150)
b: (2, 120)(3, 62)(5, 123)(6, 65)(8, 126)(9, 68)(11, 129)(12, 71)(14, 132)(15, 74)(17, 135)(18, 77)(20, 138)(21, 80)(23, 141)(24, 83)(26, 144)(27, 86)(29, 147)(30, 89)(32, 150)(33, 92)(35, 153)(36, 95)(38, 156)(39, 98)(41, 159)(42, 101)(44, 162)(45, 104)(47, 165)(48, 107)(50, 168)(51, 110)(53, 171)(54, 113)(56, 174)(57, 116)(59, 177)(60, 119)(63, 122)(66, 125)(69, 128)(72, 131)(75, 134)(78, 137)(81, 140)(84, 143)(87, 146)(90, 149)(93, 152)(96, 155)(99, 158)(102, 161)(105, 164)(108, 167)(111, 170)(114, 173)(117, 176)
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, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177)

(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[ 177, 1 ]
177
-1 177 2 59 120
-2 121 1 3 60
-3 122 2 4 61
-4 123 3 5 62
-5 124 4 6 63
-6 125 5 7 64
-7 126 6 8 65
-8 66 127 7 9
-9 67 128 8 10
-10 11 68 129 9
-11 12 69 130 10
-12 11 13 70 131
-13 132 12 14 71
-14 133 13 15 72
-15 134 14 16 73
-16 135 15 17 74
-17 136 16 18 75
-18 137 17 19 76
-19 77 138 18 20
-20 78 139 19 21
-21 22 79 140 20
-22 23 80 141 21
-23 22 24 81 142
-24 143 23 25 82
-25 144 24 26 83
-26 145 25 27 84
-27 146 26 28 85
-28 147 27 29 86
-29 148 28 30 87
-30 88 149 29 31
-31 89 150 30 32
-32 33 90 151 31
-33 34 91 152 32
-34 33 35 92 153
-35 154 34 36 93
-36 155 35 37 94
-37 156 36 38 95
-38 157 37 39 96
-39 158 38 40 97
-40 159 39 41 98
-41 99 160 40 42
-42 100 161 41 43
-43 44 101 162 42
-44 45 102 163 43
-45 44 46 103 164
-46 165 45 47 104
-47 166 46 48 105
-48 167 47 49 106
-49 168 48 50 107
-50 169 49 51 108
-51 170 50 52 109
-52 110 171 51 53
-53 111 172 52 54
-54 55 112 173 53
-55 56 113 174 54
-56 55 57 114 175
-57 176 56 58 115
-58 177 57 59 116
-59 1 58 60 117
-60 2 59 61 118
-61 3 60 62 119
-62 4 61 63 120
-63 121 5 62 64
-64 122 6 63 65
-65 66 123 7 64
-66 67 124 8 65
-67 66 68 125 9
-68 67 69 126 10
-69 11 68 70 127
-70 12 69 71 128
-71 13 70 72 129
-72 14 71 73 130
-73 15 72 74 131
-74 132 16 73 75
-75 133 17 74 76
-76 77 134 18 75
-77 78 135 19 76
-78 77 79 136 20
-79 78 80 137 21
-80 22 79 81 138
-81 23 80 82 139
-82 24 81 83 140
-83 25 82 84 141
-84 26 83 85 142
-85 143 27 84 86
-86 144 28 85 87
-87 88 145 29 86
-88 89 146 30 87
-89 88 90 147 31
-90 89 91 148 32
-91 33 90 92 149
-92 34 91 93 150
-93 35 92 94 151
-94 36 93 95 152
-95 37 94 96 153
-96 154 38 95 97
-97 155 39 96 98
-98 99 156 40 97
-99 100 157 41 98
-100 99 101 158 42
-101 100 102 159 43
-102 44 101 103 160
-103 45 102 104 161
-104 46 103 105 162
-105 47 104 106 163
-106 48 105 107 164
-107 165 49 106 108
-108 166 50 107 109
-109 110 167 51 108
-110 111 168 52 109
-111 110 112 169 53
-112 111 113 170 54
-113 55 112 114 171
-114 56 113 115 172
-115 57 114 116 173
-116 58 115 117 174
-117 59 116 118 175
-118 176 60 117 119
-119 177 61 118 120
-120 121 1 62 119
-121 122 2 63 120
-122 121 123 3 64
-123 122 124 4 65
-124 66 123 125 5
-125 67 124 126 6
-126 68 125 127 7
-127 69 126 128 8
-128 70 127 129 9
-129 71 128 130 10
-130 11 72 129 131
-131 132 12 73 130
-132 133 13 74 131
-133 132 134 14 75
-134 133 135 15 76
-135 77 134 136 16
-136 78 135 137 17
-137 79 136 138 18
-138 80 137 139 19
-139 81 138 140 20
-140 82 139 141 21
-141 22 83 140 142
-142 143 23 84 141
-143 144 24 85 142
-144 143 145 25 86
-145 144 146 26 87
-146 88 145 147 27
-147 89 146 148 28
-148 90 147 149 29
-149 91 148 150 30
-150 92 149 151 31
-151 93 150 152 32
-152 33 94 151 153
-153 154 34 95 152
-154 155 35 96 153
-155 154 156 36 97
-156 155 157 37 98
-157 99 156 158 38
-158 100 157 159 39
-159 101 158 160 40
-160 102 159 161 41
-161 103 160 162 42
-162 104 161 163 43
-163 44 105 162 164
-164 165 45 106 163
-165 166 46 107 164
-166 165 167 47 108
-167 166 168 48 109
-168 110 167 169 49
-169 111 168 170 50
-170 112 169 171 51
-171 113 170 172 52
-172 114 171 173 53
-173 115 172 174 54
-174 55 116 173 175
-175 176 56 117 174
-176 177 57 118 175
-177 176 1 58 119
0

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