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On this page are computer-accessible forms for the graph C4[ 159, 1 ] = C_159(1,52).

(I) Following is a form readable by MAGMA:

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

(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.

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&Graph
C4[ 159, 1 ]
159
-1 2 159 53 108
-2 1 3 54 109
-3 55 110 2 4
-4 56 111 3 5
-5 57 112 4 6
-6 58 113 5 7
-7 59 114 6 8
-8 60 115 7 9
-9 61 116 8 10
-10 11 62 117 9
-11 12 63 118 10
-12 11 13 64 119
-13 12 14 65 120
-14 66 121 13 15
-15 67 122 14 16
-16 68 123 15 17
-17 69 124 16 18
-18 70 125 17 19
-19 71 126 18 20
-20 72 127 19 21
-21 22 73 128 20
-22 23 74 129 21
-23 22 24 75 130
-24 23 25 76 131
-25 77 132 24 26
-26 78 133 25 27
-27 79 134 26 28
-28 80 135 27 29
-29 81 136 28 30
-30 82 137 29 31
-31 83 138 30 32
-32 33 84 139 31
-33 34 85 140 32
-34 33 35 86 141
-35 34 36 87 142
-36 88 143 35 37
-37 89 144 36 38
-38 90 145 37 39
-39 91 146 38 40
-40 92 147 39 41
-41 93 148 40 42
-42 94 149 41 43
-43 44 95 150 42
-44 45 96 151 43
-45 44 46 97 152
-46 45 47 98 153
-47 99 154 46 48
-48 100 155 47 49
-49 101 156 48 50
-50 102 157 49 51
-51 103 158 50 52
-52 104 159 51 53
-53 1 105 52 54
-54 55 2 106 53
-55 56 3 107 54
-56 55 57 4 108
-57 56 58 5 109
-58 110 57 59 6
-59 111 58 60 7
-60 112 59 61 8
-61 113 60 62 9
-62 114 61 63 10
-63 11 115 62 64
-64 12 116 63 65
-65 66 13 117 64
-66 67 14 118 65
-67 66 68 15 119
-68 67 69 16 120
-69 121 68 70 17
-70 122 69 71 18
-71 123 70 72 19
-72 124 71 73 20
-73 125 72 74 21
-74 22 126 73 75
-75 23 127 74 76
-76 77 24 128 75
-77 78 25 129 76
-78 77 79 26 130
-79 78 80 27 131
-80 132 79 81 28
-81 133 80 82 29
-82 134 81 83 30
-83 135 82 84 31
-84 136 83 85 32
-85 33 137 84 86
-86 34 138 85 87
-87 88 35 139 86
-88 89 36 140 87
-89 88 90 37 141
-90 89 91 38 142
-91 143 90 92 39
-92 144 91 93 40
-93 145 92 94 41
-94 146 93 95 42
-95 147 94 96 43
-96 44 148 95 97
-97 45 149 96 98
-98 99 46 150 97
-99 100 47 151 98
-100 99 101 48 152
-101 100 102 49 153
-102 154 101 103 50
-103 155 102 104 51
-104 156 103 105 52
-105 157 104 106 53
-106 158 105 107 54
-107 55 159 106 108
-108 1 56 107 109
-109 110 2 57 108
-110 111 3 58 109
-111 110 112 4 59
-112 111 113 5 60
-113 112 114 6 61
-114 113 115 7 62
-115 114 116 8 63
-116 115 117 9 64
-117 116 118 10 65
-118 11 66 117 119
-119 12 67 118 120
-120 121 13 68 119
-121 122 14 69 120
-122 121 123 15 70
-123 122 124 16 71
-124 123 125 17 72
-125 124 126 18 73
-126 125 127 19 74
-127 126 128 20 75
-128 127 129 21 76
-129 22 77 128 130
-130 23 78 129 131
-131 132 24 79 130
-132 133 25 80 131
-133 132 134 26 81
-134 133 135 27 82
-135 134 136 28 83
-136 135 137 29 84
-137 136 138 30 85
-138 137 139 31 86
-139 138 140 32 87
-140 33 88 139 141
-141 34 89 140 142
-142 143 35 90 141
-143 144 36 91 142
-144 143 145 37 92
-145 144 146 38 93
-146 145 147 39 94
-147 146 148 40 95
-148 147 149 41 96
-149 148 150 42 97
-150 149 151 43 98
-151 44 99 150 152
-152 45 100 151 153
-153 154 46 101 152
-154 155 47 102 153
-155 154 156 48 103
-156 155 157 49 104
-157 156 158 50 105
-158 157 159 51 106
-159 1 158 52 107
0

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