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On this page are computer-accessible forms for the graph C4[ 150, 11 ] = UG(ATD[150,16]).

(I) Following is a form readable by MAGMA:

g:=Graph<150|{ {4, 7}, {84, 87}, {100, 103}, {88, 92}, {114, 116}, {1, 6}, {89, 94}, {113, 118}, {50, 59}, {1, 11}, {21, 31}, {65, 75}, {71, 77}, {98, 104}, {130, 137}, {2, 14}, {134, 138}, {68, 72}, {35, 46}, {50, 63}, {70, 75}, {114, 127}, {132, 137}, {85, 90}, {69, 85}, {133, 149}, {1, 16}, {66, 83}, {98, 115}, {47, 61}, {132, 150}, {99, 113}, {6, 21}, {34, 49}, {5, 17}, {11, 31}, {46, 57}, {69, 93}, {73, 80}, {100, 125}, {99, 121}, {1, 26}, {36, 63}, {68, 95}, {74, 86}, {3, 29}, {38, 56}, {9, 22}, {37, 58}, {71, 88}, {87, 119}, {20, 53}, {25, 56}, {64, 97}, {6, 36}, {28, 62}, {11, 41}, {78, 108}, {65, 98}, {15, 42}, {26, 63}, {67, 102}, {19, 52}, {25, 62}, {77, 106}, {21, 61}, {67, 107}, {77, 100}, {69, 110}, {83, 127}, {12, 34}, {70, 104}, {79, 97}, {10, 37}, {22, 57}, {65, 110}, {89, 118}, {81, 97}, {90, 106}, {28, 45}, {68, 118}, {11, 56}, {86, 101}, {89, 109}, {6, 51}, {64, 117}, {13, 59}, {16, 38}, {78, 120}, {85, 99}, {27, 44}, {66, 117}, {12, 52}, {24, 32}, {67, 123}, {72, 112}, {79, 119}, {20, 45}, {26, 35}, {74, 115}, {18, 41}, {27, 32}, {15, 51}, {20, 40}, {19, 47}, {68, 121}, {90, 103}, {8, 54}, {16, 46}, {52, 116}, {14, 79}, {33, 99}, {15, 76}, {60, 127}, {45, 105}, {16, 86}, {25, 81}, {30, 86}, {12, 69}, {38, 111}, {23, 94}, {60, 117}, {61, 116}, {8, 66}, {54, 124}, {13, 70}, {18, 89}, {10, 70}, {48, 124}, {27, 87}, {24, 84}, {29, 80}, {42, 103}, {32, 109}, {21, 91}, {57, 119}, {54, 120}, {33, 110}, {53, 122}, {55, 102}, {10, 88}, {56, 106}, {62, 108}, {43, 120}, {48, 101}, {43, 125}, {51, 101}, {27, 76}, {46, 121}, {44, 123}, {39, 112}, {60, 107}, {26, 66}, {53, 109}, {31, 71}, {50, 104}, {55, 108}, {41, 117}, {30, 67}, {39, 122}, {35, 126}, {2, 92}, {37, 123}, {9, 87}, {5, 91}, {48, 80}, {52, 84}, {50, 83}, {24, 122}, {12, 111}, {23, 115}, {49, 84}, {55, 82}, {7, 97}, {45, 75}, {36, 76}, {3, 106}, {40, 65}, {2, 104}, {39, 77}, {24, 114}, {20, 126}, {10, 96}, {3, 105}, {5, 110}, {35, 72}, {22, 125}, {43, 71}, {49, 92}, {17, 127}, {29, 114}, {25, 105}, {47, 95}, {43, 91}, {5, 116}, {58, 75}, {30, 111}, {18, 96}, {23, 101}, {4, 119}, {57, 74}, {38, 85}, {17, 98}, {61, 73}, {40, 93}, {8, 126}, {36, 82}, {42, 93}, {41, 81}, {3, 122}, {51, 73}, {39, 92}, {4, 121}, {53, 72}, {14, 115}, {44, 82}, {49, 79}, {31, 96}, {19, 147}, {2, 131}, {4, 135}, {15, 140}, {13, 136}, {17, 148}, {7, 128}, {29, 149}, {28, 147}, {7, 150}, {30, 138}, {28, 139}, {8, 145}, {9, 144}, {9, 147}, {23, 140}, {14, 146}, {19, 142}, {22, 139}, {13, 147}, {18, 141}, {33, 129}, {34, 134}, {40, 140}, {33, 135}, {47, 136}, {44, 135}, {59, 144}, {32, 141}, {42, 132}, {37, 138}, {54, 134}, {62, 142}, {60, 141}, {34, 145}, {55, 131}, {48, 138}, {58, 128}, {63, 131}, {58, 135}, {59, 133}, {78, 143}, {81, 146}, {64, 132}, {83, 149}, {95, 150}, {93, 145}, {94, 146}, {78, 129}, {80, 128}, {64, 145}, {94, 143}, {82, 129}, {91, 129}, {76, 144}, {95, 130}, {74, 148}, {88, 134}, {73, 150}, {90, 133}, {109, 140}, {111, 142}, {107, 137}, {102, 130}, {96, 136}, {102, 142}, {105, 128}, {124, 149}, {125, 148}, {100, 137}, {112, 130}, {112, 131}, {120, 139}, {124, 143}, {113, 133}, {126, 139}, {123, 141}, {103, 144}, {108, 146}, {113, 143}, {118, 136}, {107, 148} }>;

(II) A more general form is to represent the graph as the orbit of {4, 7} under the group generated by the following permutations:

a: (2, 88)(3, 53)(4, 69)(5, 44)(7, 93)(8, 81)(9, 19)(10, 104)(11, 26)(12, 119)(14, 134)(15, 73)(17, 123)(18, 83)(20, 105)(21, 36)(22, 142)(23, 48)(25, 126)(27, 116)(29, 109)(30, 74)(31, 63)(32, 114)(34, 79)(35, 56)(37, 98)(38, 46)(40, 128)(41, 66)(42, 150)(43, 55)(47, 144)(50, 96)(52, 87)(54, 146)(57, 111)(58, 65)(59, 136)(61, 76)(62, 139)(67, 148)(68, 90)(71, 131)(72, 106)(77, 112)(80, 140)(82, 91)(85, 121)(89, 149)(94, 124)(95, 103)(97, 145)(100, 130)(102, 125)(108, 120)(110, 135)(115, 138)(118, 133)(127, 141)
b: (1, 6)(2, 10)(3, 9)(4, 7)(5, 8)(11, 36)(12, 40)(13, 39)(14, 37)(15, 38)(16, 51)(17, 54)(18, 55)(19, 53)(20, 52)(21, 26)(22, 29)(23, 30)(24, 28)(25, 27)(31, 63)(32, 62)(33, 64)(34, 65)(35, 61)(41, 82)(42, 85)(43, 83)(44, 81)(45, 84)(46, 73)(47, 72)(48, 74)(49, 75)(50, 71)(56, 76)(57, 80)(58, 79)(59, 77)(60, 78)(66, 91)(67, 94)(68, 95)(69, 93)(70, 92)(86, 101)(87, 105)(88, 104)(89, 102)(90, 103)(96, 131)(97, 135)(98, 134)(99, 132)(100, 133)(106, 144)(107, 143)(108, 141)(109, 142)(110, 145)(111, 140)(112, 136)(113, 137)(114, 139)(115, 138)(116, 126)(117, 129)(118, 130)(119, 128)(120, 127)(121, 150)(122, 147)(123, 146)(124, 148)(125, 149)
c: (2, 53)(3, 88)(4, 44)(5, 69)(6, 16)(7, 123)(8, 83)(10, 105)(12, 116)(13, 28)(14, 109)(15, 74)(17, 93)(18, 81)(20, 104)(21, 38)(22, 144)(24, 49)(25, 96)(27, 119)(29, 134)(30, 73)(31, 56)(32, 79)(34, 114)(35, 63)(36, 46)(37, 128)(40, 98)(42, 148)(43, 90)(45, 70)(47, 142)(50, 126)(51, 86)(54, 149)(55, 68)(57, 76)(59, 139)(60, 64)(61, 111)(62, 136)(67, 150)(71, 106)(72, 131)(78, 113)(80, 138)(82, 121)(85, 91)(89, 146)(92, 122)(95, 102)(97, 141)(99, 129)(103, 125)(107, 132)(108, 118)(115, 140)(120, 133)(127, 145)
d: (2, 5, 3, 4)(6, 11, 16, 26)(7, 14, 17, 29)(8, 15, 18, 30)(9, 13, 19, 28)(10, 12, 20, 27)(21, 56, 46, 63)(22, 59, 47, 62)(23, 60, 48, 64)(24, 58, 49, 65)(25, 57, 50, 61)(31, 38, 35, 36)(32, 37, 34, 40)(33, 39)(41, 86, 66, 51)(42, 89, 67, 54)(43, 90, 68, 55)(44, 88, 69, 53)(45, 87, 70, 52)(71, 85, 72, 82)(73, 81, 74, 83)(75, 84)(76, 96, 111, 126)(77, 99, 112, 129)(78, 100, 113, 130)(79, 98, 114, 128)(80, 97, 115, 127)(91, 106, 121, 131)(92, 110, 122, 135)(93, 109, 123, 134)(94, 107, 124, 132)(95, 108, 125, 133)(101, 117)(102, 120, 103, 118)(104, 116, 105, 119)(136, 142, 139, 144)(137, 143)(138, 145, 140, 141)(146, 148, 149, 150)
e: (1, 2, 68, 66, 55, 53)(3, 86, 70, 150, 54, 44)(4, 149, 67, 45, 51, 88)(5, 52, 69)(6, 92, 121, 83, 102, 20)(7, 124, 123, 105, 101, 10)(8, 82, 122, 16, 104, 95)(9, 103, 125)(11, 14, 118, 117, 108, 109)(12, 110, 116)(13, 132, 120, 27, 106, 74)(15, 71, 119, 133, 107, 28)(17, 19, 93, 91, 84, 85)(18, 81, 94)(21, 49, 99, 127, 142, 40)(22, 144, 100)(23, 96, 97, 143, 141, 25)(24, 38, 98, 47, 145, 129)(26, 131, 72)(29, 30, 75, 73, 134, 135)(31, 79, 113, 60, 62, 140)(32, 56, 115, 136, 64, 78)(33, 114, 111, 65, 61, 34)(35, 63, 112)(36, 39, 46, 50, 130, 126)(37, 128, 48)(41, 146, 89)(42, 43, 87, 90, 148, 147)(57, 59, 137, 139, 76, 77)(58, 80, 138)

(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[ 150, 11 ]
150
-1 11 26 16 6
-2 14 92 104 131
-3 122 105 29 106
-4 121 135 7 119
-5 110 91 17 116
-6 1 36 51 21
-7 4 128 150 97
-8 66 145 126 54
-9 22 144 147 87
-10 88 37 70 96
-11 1 56 41 31
-12 34 111 69 52
-13 136 70 59 147
-14 2 79 146 115
-15 51 140 42 76
-16 1 46 38 86
-17 5 148 127 98
-18 89 41 96 141
-19 47 147 52 142
-20 45 126 40 53
-21 91 6 61 31
-22 57 125 139 9
-23 101 115 94 140
-24 122 114 84 32
-25 56 81 105 62
-26 66 1 35 63
-27 44 32 76 87
-28 45 147 62 139
-29 3 80 114 149
-30 67 111 138 86
-31 11 71 96 21
-32 24 27 141 109
-33 99 110 135 129
-34 12 134 145 49
-35 46 26 126 72
-36 82 6 63 76
-37 123 58 138 10
-38 56 111 16 85
-39 77 122 112 92
-40 93 140 20 65
-41 11 81 18 117
-42 132 15 103 93
-43 91 125 71 120
-44 123 135 27 82
-45 28 105 20 75
-46 121 35 57 16
-47 136 61 95 19
-48 101 80 124 138
-49 34 79 92 84
-50 59 104 83 63
-51 101 15 6 73
-52 12 116 84 19
-53 122 72 20 109
-54 134 124 8 120
-55 102 82 108 131
-56 11 25 38 106
-57 22 46 74 119
-58 135 37 128 75
-59 133 144 13 50
-60 127 117 107 141
-61 47 116 73 21
-62 25 28 108 142
-63 36 26 50 131
-64 132 145 117 97
-65 110 40 75 98
-66 26 83 117 8
-67 123 102 30 107
-68 121 72 95 118
-69 110 12 93 85
-70 13 104 75 10
-71 77 88 31 43
-72 35 68 112 53
-73 80 61 51 150
-74 57 115 148 86
-75 45 58 70 65
-76 144 36 15 27
-77 100 71 39 106
-78 143 129 108 120
-79 14 49 97 119
-80 48 29 73 128
-81 25 146 41 97
-82 44 55 36 129
-83 66 50 127 149
-84 24 49 52 87
-85 99 90 69 38
-86 101 16 30 74
-87 27 84 9 119
-88 134 92 71 10
-89 94 18 118 109
-90 133 103 106 85
-91 5 129 21 43
-92 88 2 49 39
-93 145 69 40 42
-94 143 23 89 146
-95 68 47 150 130
-96 136 18 31 10
-97 79 81 7 64
-98 104 115 17 65
-99 33 121 113 85
-100 77 103 125 137
-101 23 48 51 86
-102 55 67 130 142
-103 100 144 90 42
-104 2 70 50 98
-105 45 3 25 128
-106 77 56 90 3
-107 67 60 137 148
-108 55 78 146 62
-109 89 140 53 32
-110 33 69 5 65
-111 12 38 30 142
-112 39 72 130 131
-113 99 143 133 118
-114 24 116 127 29
-115 23 14 74 98
-116 114 5 61 52
-117 66 60 41 64
-118 89 68 113 136
-119 57 79 4 87
-120 78 139 43 54
-121 99 46 68 4
-122 24 3 39 53
-123 44 67 37 141
-124 143 48 149 54
-125 22 100 148 43
-126 35 139 8 20
-127 114 60 17 83
-128 58 80 105 7
-129 33 78 91 82
-130 112 102 137 95
-131 55 2 112 63
-132 137 150 42 64
-133 90 113 59 149
-134 88 34 138 54
-135 33 44 58 4
-136 13 47 96 118
-137 132 100 107 130
-138 134 37 48 30
-139 22 126 28 120
-140 23 15 40 109
-141 123 60 18 32
-142 111 102 62 19
-143 78 113 124 94
-144 59 103 9 76
-145 34 93 8 64
-146 14 81 94 108
-147 13 28 19 9
-148 125 17 74 107
-149 133 124 83 29
-150 132 7 73 95
0

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