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On this page are computer-accessible forms for the graph C4[ 150, 10 ] = UG(ATD[150,15]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {100, 102} under the group generated by the following permutations:

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

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

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