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On this page are computer-accessible forms for the graph C4[ 145, 3 ] = C_145(1,59).

(I) Following is a form readable by MAGMA:

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

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

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