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On this page are computer-accessible forms for the graph C4[ 144, 36 ] = UG(ATD[144,32]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {10, 14} under the group generated by the following permutations:

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

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

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