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On this page are computer-accessible forms for the graph C4[ 144, 45 ] = PL(ATD[12,1]#DCyc[3]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {64, 73} under the group generated by the following permutations:

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

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

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