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On this page are computer-accessible forms for the graph C4[ 144, 44 ] = PL(ATD[9,1]#ATD[12,4]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {68, 78} under the group generated by the following permutations:

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

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

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