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On this page are computer-accessible forms for the graph C4[ 144, 46 ] = PL(ATD[18,2]#DCyc[4]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {70, 79} under the group generated by the following permutations:

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

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

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