C4graphGraph forms for C4 [ 150, 7 ] = DG(F50)

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On this page are computer-accessible forms for the graph C4[ 150, 7 ] = DG(F50).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {58, 59} under the group generated by the following permutations:

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

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

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