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On this page are computer-accessible forms for the graph C4[ 144, 35 ] = UG(ATD[144,30]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {5, 7} under the group generated by the following permutations:

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

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