<|"STS(7)" -> <|"System" -> {2, 3, 7}, "SubsetSize" -> 2, "BlockSize" -> 3, "SymbolCount" -> 7, "BlockCount" -> 7, "Blocks" -> {{1, 2, 4}, {2, 3, 5}, {3, 4, 6}, {4, 5, 7}, {5, 6, 1}, {6, 7, 2}, {7, 1, 3}}, "OtherNames" -> {"Fano plane", "STS(7)", "2-(7,3,1)", "(7,3,1) difference set"}|>, "STS(9)" -> <|"System" -> {2, 3, 9}, "SubsetSize" -> 2, "BlockSize" -> 3, "SymbolCount" -> 9, "BlockCount" -> 12, "Blocks" -> {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}, {1, 4, 7}, {2, 5, 8}, {3, 6, 9}, {1, 5, 9}, {2, 6, 7}, {3, 4, 8}, {1, 6, 8}, {2, 4, 9}, {3, 5, 7}}, "ResolvablePartition" -> 4, "OtherNames" -> {"STS(9)", "2-(9,3,1)", "order 3 affine plane"}|>, "STS(13)" -> <|"System" -> {2, 3, 13}, "SubsetSize" -> 2, "BlockSize" -> 3, "SymbolCount" -> 13, "BlockCount" -> 26, "Blocks" -> {{1, 2, 3}, {1, 4, 5}, {1, 6, 7}, {1, 8, 9}, {1, 10, 11}, {1, 12, 13}, {2, 4, 10}, {2, 6, 13}, {2, 8, 5}, {2, 9, 7}, {2, 11, 12}, {3, 11, 13}, {4, 3, 7}, {4, 6, 12}, {4, 8, 13}, {4, 9, 11}, {6, 8, 10}, {6, 9, 3}, {6, 11, 5}, {7, 5, 13}, {8, 3, 12}, {8, 7, 11}, {9, 10, 13}, {9, 12, 5}, {10, 3, 5}, {10, 7, 12}}, "OtherNames" -> {"STS(13)", "2-(13,3,1)"}|>, "STS(15)" -> <|"System" -> {2, 3, 15}, "SubsetSize" -> 2, "BlockSize" -> 3, "SymbolCount" -> 15, "BlockCount" -> 35, "Blocks" -> {{2, 10, 8}, {3, 14, 13}, {11, 15, 4}, {7, 1, 6}, {12, 5, 9}, {14, 12, 2}, {15, 8, 7}, {6, 5, 3}, {4, 13, 9}, {11, 1, 10}, {14, 7, 9}, {8, 3, 11}, {2, 6, 4}, {5, 15, 10}, {1, 13, 12}, {10, 6, 12}, {9, 2, 11}, {7, 4, 3}, {14, 15, 1}, {5, 13, 8}, {1, 4, 5}, {8, 6, 14}, {13, 2, 15}, {9, 3, 10}, {12, 7, 11}, {15, 9, 6}, {13, 10, 7}, {5, 11, 14}, {1, 3, 2}, {4, 8, 12}, {6, 11, 13}, {3, 12, 15}, {8, 9, 1}, {2, 7, 5}, {10, 14, 4}}, "ResolvablePartition" -> 5, "OtherNames" -> {"STS(15)", "Kirkman schoolgirls", "2-(15,3,1)"}|>, "STS(19)" -> <|"System" -> {2, 3, 19}, "SubsetSize" -> 2, "BlockSize" -> 3, "SymbolCount" -> 19, "BlockCount" -> 57, "Blocks" -> {{1, 7, 14}, {1, 9, 12}, {1, 5, 16}, {1, 6, 15}, {1, 10, 11}, {1, 8, 13}, {2, 7, 16}, {2, 9, 14}, {2, 5, 11}, {2, 6, 12}, {2, 10, 13}, {2, 8, 15}, {3, 7, 12}, {3, 9, 11}, {3, 5, 15}, {3, 6, 13}, {3, 10, 16}, {3, 8, 14}, {4, 7, 13}, {4, 9, 15}, {4, 5, 14}, {4, 6, 16}, {4, 10, 12}, {4, 8, 11}, {7, 6, 11}, {7, 10, 15}, {9, 5, 13}, {9, 8, 16}, {5, 8, 12}, {6, 10, 14}, {2, 3, 17}, {7, 9, 17}, {5, 10, 17}, {6, 8, 17}, {13, 15, 17}, {11, 16, 17}, {12, 14, 17}, {2, 4, 18}, {7, 5, 18}, {9, 6, 18}, {10, 8, 18}, {13, 11, 18}, {15, 12, 18}, {16, 14, 18}, {3, 4, 19}, {7, 8, 19}, {9, 10, 19}, {5, 6, 19}, {13, 14, 19}, {11, 12, 19}, {15, 16, 19}, {1, 4, 17}, {1, 3, 18}, {1, 2, 19}, {17, 18, 19}, {11, 14, 15}, {12, 13, 16}}, "OtherNames" -> {"STS(19)", "2-(19,3,1)"}|>, "STS(21)" -> <|"System" -> {2, 3, 21}, "SubsetSize" -> 2, "BlockSize" -> 3, "SymbolCount" -> 21, "BlockCount" -> 70, "Blocks" -> {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}, {10, 11, 12}, {13, 14, 15}, {16, 17, 18}, {19, 20, 21}, {1, 6, 11}, {2, 8, 18}, {3, 7, 19}, {4, 17, 21}, {5, 16, 14}, {10, 9, 15}, {13, 12, 20}, {1, 7, 5}, {2, 4, 16}, {8, 11, 20}, {13, 3, 10}, {14, 6, 12}, {19, 17, 9}, {21, 15, 18}, {1, 8, 15}, {2, 13, 7}, {3, 16, 11}, {4, 19, 12}, {5, 17, 20}, {10, 6, 18}, {14, 9, 21}, {1, 10, 21}, {2, 6, 20}, {3, 17, 15}, {4, 9, 18}, {7, 16, 12}, {13, 5, 8}, {19, 14, 11}, {1, 14, 18}, {2, 9, 12}, {4, 3, 8}, {7, 11, 21}, {10, 5, 19}, {13, 17, 6}, {16, 20, 15}, {1, 16, 19}, {2, 5, 21}, {3, 12, 18}, {4, 10, 20}, {7, 6, 15}, {13, 11, 9}, {14, 8, 17}, {1, 17, 12}, {2, 10, 14}, {3, 5, 9}, {4, 11, 15}, {7, 20, 18}, {8, 19, 6}, {13, 16, 21}, {1, 20, 9}, {2, 11, 17}, {3, 6, 21}, {5, 12, 15}, {7, 4, 14}, {13, 19, 18}, {16, 10, 8}, {2, 19, 15}, {3, 14, 20}, {5, 11, 18}, {7, 10, 17}, {8, 12, 21}, {13, 1, 4}, {16, 6, 9}}, "ResolvablePartition" -> 7, "OtherNames" -> {"STS(21)", "2-(21,3,1)"}|>, "STS(25)" -> <|"System" -> {2, 3, 25}, "SubsetSize" -> 2, "BlockSize" -> 3, "SymbolCount" -> 25, "BlockCount" -> 100, "Blocks" -> {{1, 2, 3}, {1, 4, 5}, {1, 6, 7}, {1, 8, 9}, {1, 10, 11}, {1, 12, 13}, {1, 14, 15}, {1, 16, 17}, {1, 18, 19}, {1, 20, 21}, {1, 22, 23}, {1, 24, 25}, {2, 4, 14}, {2, 5, 16}, {2, 6, 24}, {2, 7, 23}, {2, 8, 22}, {2, 9, 11}, {2, 10, 20}, {2, 12, 18}, {2, 13, 17}, {2, 15, 25}, {2, 19, 21}, {3, 4, 12}, {3, 5, 17}, {3, 6, 10}, {3, 7, 19}, {3, 8, 21}, {3, 9, 23}, {3, 11, 25}, {3, 13, 15}, {3, 14, 16}, {3, 18, 24}, {3, 20, 22}, {4, 6, 9}, {4, 7, 17}, {4, 8, 11}, {4, 10, 13}, {4, 15, 24}, {4, 16, 19}, {4, 18, 21}, {4, 20, 23}, {4, 22, 25}, {5, 6, 14}, {5, 7, 11}, {5, 8, 24}, {5, 9, 18}, {5, 10, 22}, {5, 12, 20}, {5, 13, 19}, {5, 15, 23}, {5, 21, 25}, {6, 8, 13}, {6, 11, 19}, {6, 12, 17}, {6, 15, 22}, {6, 16, 21}, {6, 18, 23}, {6, 20, 25}, {7, 8, 14}, {7, 9, 25}, {7, 10, 24}, {7, 12, 22}, {7, 13, 20}, {7, 15, 21}, {7, 16, 18}, {8, 10, 17}, {8, 12, 19}, {8, 15, 20}, {8, 16, 23}, {8, 18, 25}, {9, 10, 14}, {9, 12, 24}, {9, 13, 21}, {9, 15, 19}, {9, 16, 20}, {9, 17, 22}, {10, 12, 21}, {10, 15, 18}, {10, 16, 25}, {10, 19, 23}, {11, 12, 14}, {11, 13, 23}, {11, 15, 17}, {11, 16, 22}, {11, 18, 20}, {11, 21, 24}, {12, 15, 16}, {12, 23, 25}, {13, 14, 25}, {13, 16, 24}, {13, 18, 22}, {14, 17, 18}, {14, 19, 20}, {14, 21, 22}, {14, 23, 24}, {17, 19, 25}, {17, 20, 24}, {17, 21, 23}, {19, 22, 24}}, "OtherNames" -> {"STS(25)", "2-(25,3,1)"}|>, "STS(27)" -> <|"System" -> {2, 3, 27}, "SubsetSize" -> 2, "BlockSize" -> 3, "SymbolCount" -> 27, "BlockCount" -> 117, "Blocks" -> {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}, {10, 11, 12}, {13, 14, 15}, {16, 17, 18}, {19, 20, 21}, {22, 23, 24}, {25, 26, 27}, {1, 4, 7}, {2, 5, 8}, {3, 6, 9}, {10, 13, 16}, {11, 14, 17}, {12, 15, 18}, {19, 22, 25}, {20, 23, 26}, {21, 24, 27}, {1, 5, 9}, {2, 6, 7}, {3, 4, 8}, {10, 14, 18}, {11, 15, 16}, {12, 13, 17}, {19, 23, 27}, {20, 24, 25}, {21, 22, 26}, {1, 6, 8}, {2, 4, 9}, {3, 5, 7}, {10, 15, 17}, {11, 13, 18}, {12, 14, 16}, {19, 24, 26}, {20, 22, 27}, {21, 23, 25}, {1, 10, 19}, {2, 11, 20}, {3, 12, 21}, {4, 13, 22}, {5, 14, 23}, {6, 15, 24}, {7, 16, 25}, {8, 17, 26}, {9, 18, 27}, {1, 11, 21}, {2, 18, 22}, {3, 16, 23}, {4, 14, 24}, {5, 12, 25}, {6, 10, 26}, {7, 17, 27}, {8, 15, 19}, {9, 13, 20}, {1, 12, 20}, {2, 10, 21}, {3, 17, 22}, {4, 15, 23}, {5, 13, 24}, {6, 11, 25}, {7, 18, 26}, {8, 16, 27}, {9, 14, 19}, {1, 13, 25}, {2, 14, 26}, {3, 15, 27}, {4, 16, 19}, {5, 17, 20}, {6, 18, 21}, {7, 10, 22}, {8, 11, 23}, {9, 12, 24}, {1, 14, 27}, {2, 12, 19}, {3, 10, 20}, {4, 17, 21}, {5, 15, 22}, {6, 13, 23}, {7, 11, 24}, {8, 18, 25}, {9, 16, 26}, {1, 15, 26}, {2, 13, 27}, {3, 11, 19}, {4, 18, 20}, {5, 16, 21}, {6, 14, 22}, {7, 12, 23}, {8, 10, 24}, {9, 17, 25}, {1, 16, 22}, {2, 17, 23}, {3, 18, 24}, {4, 10, 25}, {5, 11, 26}, {6, 12, 27}, {7, 13, 19}, {8, 14, 20}, {9, 15, 21}, {1, 17, 24}, {2, 15, 25}, {3, 13, 26}, {4, 11, 27}, {5, 18, 19}, {6, 16, 20}, {7, 14, 21}, {8, 12, 22}, {9, 10, 23}, {1, 18, 23}, {2, 16, 24}, {3, 14, 25}, {4, 12, 26}, {5, 10, 27}, {6, 17, 19}, {7, 15, 20}, {8, 13, 21}, {9, 11, 22}}, "ResolvablePartition" -> 9, "OtherNames" -> {"STS(27)", "2-(27,3,1)"}|>, "STS(31)" -> <|"System" -> {2, 3, 31}, "SubsetSize" -> 2, "BlockSize" -> 3, "SymbolCount" -> 31, "BlockCount" -> 155, "Blocks" -> {{1, 2, 3}, {1, 4, 5}, {1, 6, 7}, {1, 8, 9}, {1, 10, 11}, {1, 12, 13}, {1, 14, 15}, {1, 16, 17}, {1, 18, 19}, {1, 20, 21}, {1, 22, 23}, {1, 24, 25}, {1, 26, 27}, {1, 28, 29}, {1, 30, 31}, {2, 4, 6}, {2, 5, 7}, {2, 8, 10}, {2, 9, 11}, {2, 12, 14}, {2, 13, 15}, {2, 16, 18}, {2, 17, 19}, {2, 20, 22}, {2, 21, 23}, {2, 24, 26}, {2, 25, 27}, {2, 28, 30}, {2, 29, 31}, {3, 4, 7}, {3, 5, 6}, {3, 8, 11}, {3, 9, 10}, {3, 12, 15}, {3, 13, 14}, {3, 16, 19}, {3, 17, 18}, {3, 20, 23}, {3, 21, 22}, {3, 24, 27}, {3, 25, 26}, {3, 28, 31}, {3, 29, 30}, {4, 8, 12}, {4, 9, 13}, {4, 10, 14}, {4, 11, 15}, {4, 16, 20}, {4, 17, 21}, {4, 18, 22}, {4, 19, 23}, {4, 24, 28}, {4, 25, 29}, {4, 26, 30}, {4, 27, 31}, {5, 8, 13}, {5, 9, 12}, {5, 10, 15}, {5, 11, 14}, {5, 16, 21}, {5, 17, 20}, {5, 18, 23}, {5, 19, 22}, {5, 24, 29}, {5, 25, 28}, {5, 26, 31}, {5, 27, 30}, {6, 8, 14}, {6, 9, 15}, {6, 10, 12}, {6, 11, 13}, {6, 16, 22}, {6, 17, 23}, {6, 18, 20}, {6, 19, 21}, {6, 24, 30}, {6, 25, 31}, {6, 26, 28}, {6, 27, 29}, {7, 8, 15}, {7, 9, 14}, {7, 10, 13}, {7, 11, 12}, {7, 16, 23}, {7, 17, 22}, {7, 18, 21}, {7, 19, 20}, {7, 24, 31}, {7, 25, 30}, {7, 26, 29}, {7, 27, 28}, {8, 16, 24}, {8, 17, 25}, {8, 18, 26}, {8, 19, 27}, {8, 20, 28}, {8, 21, 29}, {8, 22, 30}, {8, 23, 31}, {9, 16, 25}, {9, 17, 24}, {9, 18, 27}, {9, 19, 26}, {9, 20, 29}, {9, 21, 28}, {9, 22, 31}, {9, 23, 30}, {10, 16, 26}, {10, 17, 27}, {10, 18, 24}, {10, 19, 25}, {10, 20, 30}, {10, 21, 31}, {10, 22, 28}, {10, 23, 29}, {11, 16, 27}, {11, 17, 26}, {11, 18, 25}, {11, 19, 24}, {11, 20, 31}, {11, 21, 30}, {11, 22, 29}, {11, 23, 28}, {12, 16, 28}, {12, 17, 29}, {12, 18, 30}, {12, 19, 31}, {12, 20, 24}, {12, 21, 25}, {12, 22, 26}, {12, 23, 27}, {13, 16, 29}, {13, 17, 28}, {13, 18, 31}, {13, 19, 30}, {13, 20, 25}, {13, 21, 24}, {13, 22, 27}, {13, 23, 26}, {14, 16, 30}, {14, 17, 31}, {14, 18, 28}, {14, 19, 29}, {14, 20, 26}, {14, 21, 27}, {14, 22, 24}, {14, 23, 25}, {15, 16, 31}, {15, 17, 30}, {15, 18, 29}, {15, 19, 28}, {15, 20, 27}, {15, 21, 26}, {15, 22, 25}, {15, 23, 24}}, "OtherNames" -> {"STS(31)", "2-(31,3,1)"}|>, "STS(33)" -> <|"System" -> {2, 3, 33}, "SubsetSize" -> 2, "BlockSize" -> 3, "SymbolCount" -> 33, "BlockCount" -> 176, "Blocks" -> {{1, 2, 3}, {1, 4, 5}, {1, 6, 7}, {1, 8, 9}, {1, 10, 11}, {1, 12, 13}, {1, 14, 15}, {1, 16, 17}, {1, 18, 19}, {1, 20, 21}, {1, 22, 23}, {1, 24, 25}, {1, 26, 27}, {1, 28, 29}, {1, 30, 31}, {1, 32, 33}, {2, 4, 12}, {2, 5, 32}, {2, 6, 18}, {2, 7, 9}, {2, 8, 15}, {2, 10, 13}, {2, 11, 14}, {2, 16, 33}, {2, 17, 19}, {2, 20, 22}, {2, 21, 23}, {2, 24, 26}, {2, 25, 27}, {2, 28, 30}, {2, 29, 31}, {3, 4, 15}, {3, 5, 29}, {3, 6, 23}, {3, 7, 17}, {3, 8, 26}, {3, 9, 24}, {3, 10, 30}, {3, 11, 12}, {3, 13, 28}, {3, 14, 32}, {3, 16, 18}, {3, 19, 31}, {3, 20, 25}, {3, 21, 22}, {3, 27, 33}, {4, 6, 13}, {4, 7, 11}, {4, 8, 21}, {4, 9, 14}, {4, 10, 33}, {4, 16, 25}, {4, 17, 24}, {4, 18, 27}, {4, 19, 26}, {4, 20, 29}, {4, 22, 31}, {4, 23, 30}, {4, 28, 32}, {5, 6, 9}, {5, 7, 8}, {5, 10, 12}, {5, 11, 26}, {5, 13, 14}, {5, 15, 33}, {5, 16, 19}, {5, 17, 18}, {5, 20, 23}, {5, 21, 25}, {5, 22, 30}, {5, 24, 27}, {5, 28, 31}, {6, 8, 19}, {6, 10, 22}, {6, 11, 32}, {6, 12, 15}, {6, 14, 33}, {6, 16, 20}, {6, 17, 21}, {6, 24, 28}, {6, 25, 29}, {6, 26, 30}, {6, 27, 31}, {7, 10, 32}, {7, 12, 14}, {7, 13, 15}, {7, 16, 21}, {7, 18, 23}, {7, 19, 22}, {7, 20, 33}, {7, 24, 29}, {7, 25, 28}, {7, 26, 31}, {7, 27, 30}, {8, 10, 14}, {8, 11, 13}, {8, 12, 32}, {8, 16, 22}, {8, 17, 23}, {8, 18, 20}, {8, 24, 30}, {8, 25, 31}, {8, 27, 29}, {8, 28, 33}, {9, 10, 15}, {9, 11, 31}, {9, 12, 33}, {9, 13, 32}, {9, 16, 23}, {9, 17, 22}, {9, 18, 21}, {9, 19, 20}, {9, 25, 30}, {9, 26, 29}, {9, 27, 28}, {10, 16, 24}, {10, 17, 25}, {10, 18, 26}, {10, 19, 27}, {10, 20, 28}, {10, 21, 29}, {10, 23, 31}, {11, 15, 19}, {11, 16, 28}, {11, 17, 29}, {11, 18, 30}, {11, 20, 24}, {11, 21, 33}, {11, 22, 25}, {11, 23, 27}, {12, 16, 27}, {12, 17, 26}, {12, 18, 25}, {12, 19, 24}, {12, 20, 31}, {12, 21, 30}, {12, 22, 29}, {12, 23, 28}, {13, 16, 26}, {13, 17, 27}, {13, 18, 24}, {13, 19, 25}, {13, 20, 30}, {13, 21, 31}, {13, 22, 33}, {13, 23, 29}, {14, 16, 30}, {14, 17, 31}, {14, 18, 28}, {14, 19, 29}, {14, 20, 26}, {14, 21, 27}, {14, 22, 24}, {14, 23, 25}, {15, 16, 31}, {15, 17, 28}, {15, 18, 22}, {15, 20, 27}, {15, 21, 26}, {15, 23, 24}, {15, 25, 32}, {15, 29, 30}, {16, 29, 32}, {17, 20, 32}, {17, 30, 33}, {18, 29, 33}, {18, 31, 32}, {19, 21, 28}, {19, 23, 33}, {19, 30, 32}, {21, 24, 32}, {22, 26, 28}, {22, 27, 32}, {23, 26, 32}, {24, 31, 33}, {25, 26, 33}}, "OtherNames" -> {"STS(33)", "2-(33,3,1)"}|>, "STS(37)" -> <|"System" -> {2, 3, 37}, "SubsetSize" -> 2, "BlockSize" -> 3, "SymbolCount" -> 37, "BlockCount" -> 222, "Blocks" -> {{1, 2, 3}, {1, 4, 5}, {1, 6, 7}, {1, 8, 9}, {1, 10, 11}, {1, 12, 13}, {1, 14, 15}, {1, 16, 17}, {1, 18, 19}, {1, 20, 21}, {1, 22, 23}, {1, 24, 25}, {1, 26, 27}, {1, 28, 29}, {1, 30, 31}, {1, 32, 33}, {1, 34, 35}, {1, 36, 37}, {2, 4, 25}, {2, 5, 6}, {2, 7, 11}, {2, 8, 23}, {2, 9, 29}, {2, 10, 33}, {2, 12, 36}, {2, 13, 34}, {2, 14, 24}, {2, 15, 27}, {2, 16, 21}, {2, 17, 26}, {2, 18, 22}, {2, 19, 35}, {2, 20, 37}, {2, 28, 30}, {2, 31, 32}, {3, 4, 20}, {3, 5, 10}, {3, 6, 29}, {3, 7, 19}, {3, 8, 27}, {3, 9, 17}, {3, 11, 30}, {3, 12, 22}, {3, 13, 15}, {3, 14, 35}, {3, 16, 24}, {3, 18, 33}, {3, 21, 26}, {3, 23, 32}, {3, 25, 28}, {3, 31, 36}, {3, 34, 37}, {4, 6, 22}, {4, 7, 12}, {4, 8, 24}, {4, 9, 31}, {4, 10, 29}, {4, 11, 36}, {4, 13, 30}, {4, 14, 28}, {4, 15, 26}, {4, 16, 37}, {4, 17, 18}, {4, 19, 34}, {4, 21, 32}, {4, 23, 27}, {4, 33, 35}, {5, 7, 27}, {5, 8, 15}, {5, 9, 11}, {5, 12, 29}, {5, 13, 35}, {5, 14, 16}, {5, 17, 37}, {5, 18, 26}, {5, 19, 36}, {5, 20, 22}, {5, 21, 30}, {5, 23, 25}, {5, 24, 31}, {5, 28, 33}, {5, 32, 34}, {6, 8, 37}, {6, 9, 18}, {6, 10, 30}, {6, 11, 14}, {6, 12, 20}, {6, 13, 32}, {6, 15, 36}, {6, 16, 19}, {6, 17, 21}, {6, 23, 24}, {6, 25, 26}, {6, 27, 34}, {6, 28, 35}, {6, 31, 33}, {7, 8, 14}, {7, 9, 20}, {7, 10, 17}, {7, 13, 28}, {7, 15, 30}, {7, 16, 22}, {7, 18, 32}, {7, 21, 23}, {7, 24, 37}, {7, 25, 35}, {7, 26, 31}, {7, 29, 34}, {7, 33, 36}, {8, 10, 16}, {8, 11, 25}, {8, 12, 33}, {8, 13, 29}, {8, 17, 28}, {8, 18, 21}, {8, 19, 31}, {8, 20, 34}, {8, 22, 35}, {8, 26, 36}, {8, 30, 32}, {9, 10, 26}, {9, 12, 25}, {9, 13, 23}, {9, 14, 36}, {9, 15, 32}, {9, 16, 33}, {9, 19, 28}, {9, 21, 22}, {9, 24, 35}, {9, 27, 37}, {9, 30, 34}, {10, 12, 23}, {10, 13, 25}, {10, 14, 20}, {10, 15, 35}, {10, 18, 28}, {10, 19, 27}, {10, 21, 36}, {10, 22, 32}, {10, 24, 34}, {10, 31, 37}, {11, 12, 28}, {11, 13, 18}, {11, 15, 22}, {11, 16, 34}, {11, 17, 24}, {11, 19, 37}, {11, 20, 31}, {11, 21, 35}, {11, 23, 29}, {11, 26, 32}, {11, 27, 33}, {12, 14, 17}, {12, 15, 37}, {12, 16, 32}, {12, 18, 31}, {12, 19, 26}, {12, 21, 34}, {12, 24, 27}, {12, 30, 35}, {13, 14, 31}, {13, 16, 26}, {13, 17, 33}, {13, 19, 24}, {13, 20, 36}, {13, 21, 27}, {13, 22, 37}, {14, 18, 30}, {14, 19, 21}, {14, 22, 27}, {14, 23, 33}, {14, 25, 29}, {14, 26, 34}, {14, 32, 37}, {15, 16, 28}, {15, 17, 25}, {15, 18, 24}, {15, 19, 20}, {15, 21, 33}, {15, 23, 34}, {15, 29, 31}, {16, 18, 35}, {16, 20, 25}, {16, 23, 31}, {16, 27, 30}, {16, 29, 36}, {17, 19, 23}, {17, 20, 30}, {17, 22, 36}, {17, 27, 29}, {17, 31, 34}, {17, 32, 35}, {18, 20, 23}, {18, 25, 27}, {18, 29, 37}, {18, 34, 36}, {19, 22, 33}, {19, 25, 30}, {19, 29, 32}, {20, 24, 33}, {20, 26, 28}, {20, 27, 32}, {20, 29, 35}, {21, 24, 29}, {21, 25, 37}, {21, 28, 31}, {22, 24, 26}, {22, 25, 31}, {22, 28, 34}, {22, 29, 30}, {23, 26, 30}, {23, 28, 37}, {23, 35, 36}, {24, 28, 32}, {24, 30, 36}, {25, 32, 36}, {25, 33, 34}, {26, 29, 33}, {26, 35, 37}, {27, 28, 36}, {27, 31, 35}, {30, 33, 37}}, "OtherNames" -> {"STS(37)", "2-(37,3,1)"}|>, "STS(39)" -> <|"System" -> {2, 3, 39}, "SubsetSize" -> 2, "BlockSize" -> 3, "SymbolCount" -> 39, "BlockCount" -> 247, "Blocks" -> {{1, 2, 3}, {1, 4, 5}, {1, 6, 7}, {1, 8, 9}, {1, 10, 11}, {1, 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50}, {18, 33, 51}, {18, 34, 48}, {18, 35, 49}, {18, 36, 54}, {18, 37, 55}, {18, 38, 52}, {18, 39, 53}, {18, 40, 58}, {18, 41, 59}, {18, 42, 56}, {18, 43, 57}, {18, 44, 62}, {18, 45, 63}, {18, 46, 60}, {18, 47, 61}, {19, 32, 51}, {19, 33, 50}, {19, 34, 49}, {19, 35, 48}, {19, 36, 55}, {19, 37, 54}, {19, 38, 53}, {19, 39, 52}, {19, 40, 59}, {19, 41, 58}, {19, 42, 57}, {19, 43, 56}, {19, 44, 63}, {19, 45, 62}, {19, 46, 61}, {19, 47, 60}, {20, 32, 52}, {20, 33, 53}, {20, 34, 54}, {20, 35, 55}, {20, 36, 48}, {20, 37, 49}, {20, 38, 50}, {20, 39, 51}, {20, 40, 60}, {20, 41, 61}, {20, 42, 62}, {20, 43, 63}, {20, 44, 56}, {20, 45, 57}, {20, 46, 58}, {20, 47, 59}, {21, 32, 53}, {21, 33, 52}, {21, 34, 55}, {21, 35, 54}, {21, 36, 49}, {21, 37, 48}, {21, 38, 51}, {21, 39, 50}, {21, 40, 61}, {21, 41, 60}, {21, 42, 63}, {21, 43, 62}, {21, 44, 57}, {21, 45, 56}, {21, 46, 59}, {21, 47, 58}, {22, 32, 54}, {22, 33, 55}, {22, 34, 52}, {22, 35, 53}, {22, 36, 50}, {22, 37, 51}, {22, 38, 48}, {22, 39, 49}, {22, 40, 62}, {22, 41, 63}, {22, 42, 60}, {22, 43, 61}, {22, 44, 58}, {22, 45, 59}, {22, 46, 56}, {22, 47, 57}, {23, 32, 55}, {23, 33, 54}, {23, 34, 53}, {23, 35, 52}, {23, 36, 51}, {23, 37, 50}, {23, 38, 49}, {23, 39, 48}, {23, 40, 63}, {23, 41, 62}, {23, 42, 61}, {23, 43, 60}, {23, 44, 59}, {23, 45, 58}, {23, 46, 57}, {23, 47, 56}, {24, 32, 56}, {24, 33, 57}, {24, 34, 58}, {24, 35, 59}, {24, 36, 60}, {24, 37, 61}, {24, 38, 62}, {24, 39, 63}, {24, 40, 48}, {24, 41, 49}, {24, 42, 50}, {24, 43, 51}, {24, 44, 52}, {24, 45, 53}, {24, 46, 54}, {24, 47, 55}, {25, 32, 57}, {25, 33, 56}, {25, 34, 59}, {25, 35, 58}, {25, 36, 61}, {25, 37, 60}, {25, 38, 63}, {25, 39, 62}, {25, 40, 49}, {25, 41, 48}, {25, 42, 51}, {25, 43, 50}, {25, 44, 53}, {25, 45, 52}, {25, 46, 55}, {25, 47, 54}, {26, 32, 58}, {26, 33, 59}, {26, 34, 56}, {26, 35, 57}, {26, 36, 62}, {26, 37, 63}, {26, 38, 60}, {26, 39, 61}, {26, 40, 50}, {26, 41, 51}, {26, 42, 48}, {26, 43, 49}, {26, 44, 54}, {26, 45, 55}, {26, 46, 52}, {26, 47, 53}, {27, 32, 59}, {27, 33, 58}, {27, 34, 57}, {27, 35, 56}, {27, 36, 63}, {27, 37, 62}, {27, 38, 61}, {27, 39, 60}, {27, 40, 51}, {27, 41, 50}, {27, 42, 49}, {27, 43, 48}, {27, 44, 55}, {27, 45, 54}, {27, 46, 53}, {27, 47, 52}, {28, 32, 60}, {28, 33, 61}, {28, 34, 62}, {28, 35, 63}, {28, 36, 56}, {28, 37, 57}, {28, 38, 58}, {28, 39, 59}, {28, 40, 52}, {28, 41, 53}, {28, 42, 54}, {28, 43, 55}, {28, 44, 48}, {28, 45, 49}, {28, 46, 50}, {28, 47, 51}, {29, 32, 61}, {29, 33, 60}, {29, 34, 63}, {29, 35, 62}, {29, 36, 57}, {29, 37, 56}, {29, 38, 59}, {29, 39, 58}, {29, 40, 53}, {29, 41, 52}, {29, 42, 55}, {29, 43, 54}, {29, 44, 49}, {29, 45, 48}, {29, 46, 51}, {29, 47, 50}, {30, 32, 62}, {30, 33, 63}, {30, 34, 60}, {30, 35, 61}, {30, 36, 58}, {30, 37, 59}, {30, 38, 56}, {30, 39, 57}, {30, 40, 54}, {30, 41, 55}, {30, 42, 52}, {30, 43, 53}, {30, 44, 50}, {30, 45, 51}, {30, 46, 48}, {30, 47, 49}, {31, 32, 63}, {31, 33, 62}, {31, 34, 61}, {31, 35, 60}, {31, 36, 59}, {31, 37, 58}, {31, 38, 57}, {31, 39, 56}, {31, 40, 55}, {31, 41, 54}, {31, 42, 53}, {31, 43, 52}, {31, 44, 51}, {31, 45, 50}, {31, 46, 49}, {31, 47, 48}}, "OtherNames" -> {"STS(63)", "2-(63,3,1)"}|>, "SQS(8)" -> <|"System" -> {3, 4, 8}, "SubsetSize" -> 3, "BlockSize" -> 4, "SymbolCount" -> 8, "BlockCount" -> 14, "Blocks" -> {{1, 2, 3, 6}, {1, 2, 4, 8}, {1, 2, 5, 7}, {1, 3, 4, 5}, {1, 3, 7, 8}, {1, 4, 6, 7}, {1, 5, 6, 8}, {2, 3, 4, 7}, {2, 3, 5, 8}, {2, 4, 5, 6}, {2, 6, 7, 8}, {3, 4, 6, 8}, {3, 5, 6, 7}, {4, 5, 7, 8}}, "OtherNames" -> {"3-(8,4,1)"}|>, "SQS(10)" -> <|"System" -> {3, 4, 10}, "SubsetSize" -> 3, "BlockSize" -> 4, "SymbolCount" -> 10, "BlockCount" -> 30, "Blocks" -> {{1, 2, 3, 7}, {1, 2, 4, 5}, {1, 2, 6, 10}, {1, 2, 8, 9}, {1, 3, 4, 10}, {1, 3, 5, 8}, {1, 3, 6, 9}, {1, 4, 6, 8}, {1, 4, 7, 9}, {1, 5, 6, 7}, {1, 5, 9, 10}, {1, 7, 8, 10}, {2, 3, 4, 8}, {2, 3, 5, 6}, {2, 3, 9, 10}, {2, 4, 6, 9}, {2, 4, 7, 10}, {2, 5, 7, 9}, {2, 5, 8, 10}, {2, 6, 7, 8}, {3, 4, 5, 9}, {3, 4, 6, 7}, {3, 5, 7, 10}, {3, 6, 8, 10}, {3, 7, 8, 9}, {4, 5, 6, 10}, {4, 5, 7, 8}, {4, 8, 9, 10}, {5, 6, 8, 9}, {6, 7, 9, 10}}, "OtherNames" -> {"3-(10,4,1)"}|>, "SQS(13)" -> <|"System" -> {3, 4, 13}, "SubsetSize" -> 3, "BlockSize" -> 4, "SymbolCount" -> 13, "BlockCount" -> 13, "Blocks" -> {{1, 2, 3, 6}, {1, 2, 4, 8}, {1, 2, 5, 7}, {1, 3, 4, 5}, {1, 3, 7, 8}, {1, 4, 6, 7}, {1, 5, 6, 8}, {2, 3, 4, 7}, {2, 3, 5, 8}, {2, 4, 5, 6}, {2, 6, 7, 8}, {3, 4, 6, 8}, {3, 5, 6, 7}, {4, 5, 7, 8}}, "OtherNames" -> {"3-(8,4,1)", "(13,4,1) difference set"}|>, "SQS(14)" -> <|"System" -> {3, 4, 14}, "SubsetSize" -> 3, "BlockSize" -> 4, "SymbolCount" -> 14, "BlockCount" -> 91, "Blocks" -> {{1, 2, 5, 14}, {1, 3, 11, 14}, {1, 4, 6, 14}, {1, 7, 8, 14}, {1, 9, 13, 14}, {1, 10, 12, 14}, {2, 3, 4, 14}, {2, 6, 8, 14}, {2, 7, 9, 14}, {2, 10, 13, 14}, {2, 11, 12, 14}, {3, 5, 6, 14}, {3, 7, 12, 14}, {3, 8, 13, 14}, {3, 9, 10, 14}, {4, 5, 9, 14}, {4, 7, 11, 14}, {4, 8, 10, 14}, {4, 12, 13, 14}, {5, 7, 13, 14}, {5, 8, 12, 14}, {5, 10, 11, 14}, {6, 7, 10, 14}, {6, 9, 12, 14}, {6, 11, 13, 14}, {8, 9, 11, 14}, {1, 2, 3, 6}, {1, 2, 4, 7}, {1, 2, 8, 11}, {1, 2, 9, 10}, {1, 2, 12, 13}, {1, 3, 4, 5}, {1, 3, 7, 13}, {1, 3, 8, 10}, {1, 3, 9, 12}, {1, 4, 8, 12}, {1, 4, 9, 11}, {1, 4, 10, 13}, {1, 5, 6, 10}, {1, 5, 7, 12}, {1, 5, 8, 9}, {1, 5, 11, 13}, {1, 6, 7, 9}, {1, 6, 8, 13}, {1, 6, 11, 12}, {1, 7, 10, 11}, {2, 3, 5, 13}, {2, 3, 7, 10}, {2, 3, 8, 12}, {2, 3, 9, 11}, {2, 4, 5, 6}, {2, 4, 8, 9}, {2, 4, 10, 12}, {2, 4, 11, 13}, {2, 5, 7, 11}, {2, 5, 8, 10}, {2, 5, 9, 12}, {2, 6, 7, 12}, {2, 6, 9, 13}, {2, 6, 10, 11}, {2, 7, 8, 13}, {3, 4, 6, 12}, {3, 4, 7, 8}, {3, 4, 9, 13}, {3, 4, 10, 11}, {3, 5, 7, 9}, {3, 5, 8, 11}, {3, 5, 10, 12}, {3, 6, 7, 11}, {3, 6, 8, 9}, {3, 6, 10, 13}, {3, 11, 12, 13}, {4, 5, 7, 10}, {4, 5, 8, 13}, {4, 5, 11, 12}, {4, 6, 7, 13}, {4, 6, 8, 11}, {4, 6, 9, 10}, {4, 7, 9, 12}, {5, 6, 7, 8}, {5, 6, 9, 11}, {5, 6, 12, 13}, {5, 9, 10, 13}, {6, 8, 10, 12}, {7, 8, 9, 10}, {7, 8, 11, 12}, {7, 9, 11, 13}, {7, 10, 12, 13}, {8, 9, 12, 13}, {8, 10, 11, 13}, {9, 10, 11, 12}}, "OtherNames" -> {"3-(14,4,1)"}|>, "SQS(16)" -> <|"System" -> {2, 4, 16}, "SubsetSize" -> 2, "BlockSize" -> 4, "SymbolCount" -> 16, "BlockCount" -> 20, "Blocks" -> {{1, 2, 3, 4}, {5, 6, 7, 8}, {9, 10, 11, 12}, {13, 14, 15, 16}, {1, 5, 9, 13}, {2, 6, 10, 14}, {3, 7, 11, 15}, {4, 8, 12, 16}, {1, 6, 11, 16}, {2, 5, 12, 15}, {3, 8, 9, 14}, {4, 7, 10, 13}, {1, 7, 12, 14}, {2, 8, 11, 13}, {3, 5, 10, 16}, {4, 6, 9, 15}, {1, 8, 10, 15}, {2, 7, 9, 16}, {3, 6, 12, 13}, {4, 5, 11, 14}}, "ResolvablePartition" -> 4, "OtherNames" -> {"2-(16,4,1)", "social golfers 16", "order 4 affine plane"}|>, "SQS(20)" -> <|"System" -> {3, 4, 20}, "SubsetSize" -> 3, "BlockSize" -> 4, "SymbolCount" -> 20, "BlockCount" -> 285, "Blocks" -> {{1, 10, 12, 16}, {1, 10, 13, 18}, {1, 11, 12, 20}, {1, 11, 13, 19}, {1, 12, 14, 17}, {1, 13, 17, 20}, {1, 14, 15, 19}, {1, 15, 18, 20}, {1, 17, 18, 19}, {1, 2, 10, 11}, {1, 2, 12, 13}, {1, 2, 14, 18}, {1, 2, 16, 19}, {1, 2, 3, 5}, {1, 2, 4, 20}, {1, 2, 6, 8}, {1, 2, 7, 15}, {1, 2, 9, 17}, {1, 3, 13, 15}, {1, 3, 16, 17}, {1, 3, 19, 20}, {1, 3, 4, 18}, {1, 3, 6, 10}, {1, 3, 7, 12}, {1, 3, 8, 14}, {1, 3, 9, 11}, {1, 4, 10, 14}, {1, 4, 11, 15}, {1, 4, 13, 16}, {1, 4, 5, 17}, {1, 4, 6, 7}, {1, 4, 8, 19}, {1, 4, 9, 12}, {1, 5, 10, 19}, {1, 5, 11, 14}, {1, 5, 12, 15}, {1, 5, 16, 18}, {1, 5, 6, 13}, {1, 5, 7, 20}, {1, 5, 8, 9}, {1, 6, 11, 16}, {1, 6, 12, 19}, {1, 6, 14, 20}, {1, 6, 15, 17}, {1, 6, 9, 18}, {1, 7, 10, 17}, {1, 7, 11, 18}, {1, 7, 14, 16}, {1, 7, 8, 13}, {1, 7, 9, 19}, {1, 8, 10, 15}, {1, 8, 11, 17}, {1, 8, 12, 18}, {1, 8, 16, 20}, {1, 9, 10, 20}, {1, 9, 13, 14}, {1, 9, 15, 16}, {2, 10, 14, 15}, {2, 10, 16, 17}, {2, 11, 13, 17}, {2, 11, 14, 19}, {2, 12, 14, 20}, {2, 13, 15, 18}, {2, 15, 16, 20}, {2, 18, 19, 20}, {2, 3, 10, 18}, {2, 3, 11, 12}, {2, 3, 13, 14}, {2, 3, 15, 19}, {2, 3, 17, 20}, {2, 3, 4, 6}, {2, 3, 7, 9}, {2, 3, 8, 16}, {2, 4, 10, 12}, {2, 4, 14, 16}, {2, 4, 17, 18}, {2, 4, 5, 19}, {2, 4, 7, 11}, {2, 4, 8, 13}, {2, 4, 9, 15}, {2, 5, 10, 13}, {2, 5, 11, 15}, {2, 5, 12, 16}, {2, 5, 14, 17}, {2, 5, 6, 18}, {2, 5, 7, 8}, {2, 5, 9, 20}, {2, 6, 11, 20}, {2, 6, 12, 15}, {2, 6, 13, 16}, {2, 6, 17, 19}, {2, 6, 7, 14}, {2, 6, 9, 10}, {2, 7, 10, 19}, {2, 7, 12, 17}, {2, 7, 13, 20}, {2, 7, 16, 18}, {2, 8, 10, 20}, {2, 8, 11, 18}, {2, 8, 12, 19}, {2, 8, 15, 17}, {2, 8, 9, 14}, {2, 9, 11, 16}, {2, 9, 12, 18}, {2, 9, 13, 19}, {3, 10, 12, 17}, {3, 10, 13, 19}, {3, 10, 14, 20}, {3, 11, 15, 16}, {3, 11, 17, 18}, {3, 12, 14, 18}, {3, 12, 15, 20}, {3, 14, 16, 19}, {3, 4, 11, 19}, {3, 4, 12, 13}, {3, 4, 14, 15}, {3, 4, 16, 20}, {3, 4, 5, 7}, {3, 4, 8, 10}, {3, 4, 9, 17}, {3, 5, 10, 16}, {3, 5, 11, 13}, {3, 5, 15, 17}, {3, 5, 18, 19}, {3, 5, 6, 20}, {3, 5, 8, 12}, {3, 5, 9, 14}, {3, 6, 11, 14}, {3, 6, 12, 16}, {3, 6, 13, 17}, {3, 6, 15, 18}, {3, 6, 7, 19}, {3, 6, 8, 9}, {3, 7, 10, 11}, {3, 7, 13, 16}, {3, 7, 14, 17}, {3, 7, 18, 20}, {3, 7, 8, 15}, {3, 8, 11, 20}, {3, 8, 13, 18}, {3, 8, 17, 19}, {3, 9, 10, 15}, {3, 9, 12, 19}, {3, 9, 13, 20}, {3, 9, 16, 18}, {4, 10, 11, 16}, {4, 10, 13, 20}, {4, 10, 17, 19}, {4, 11, 13, 18}, {4, 11, 14, 20}, {4, 12, 16, 17}, {4, 12, 18, 19}, {4, 13, 15, 19}, {4, 15, 17, 20}, {4, 5, 10, 18}, {4, 5, 12, 20}, {4, 5, 13, 14}, {4, 5, 15, 16}, {4, 5, 6, 8}, {4, 5, 9, 11}, {4, 6, 10, 15}, {4, 6, 11, 17}, {4, 6, 12, 14}, {4, 6, 16, 18}, {4, 6, 19, 20}, {4, 6, 9, 13}, {4, 7, 12, 15}, {4, 7, 13, 17}, {4, 7, 14, 18}, {4, 7, 16, 19}, {4, 7, 8, 20}, {4, 7, 9, 10}, {4, 8, 11, 12}, {4, 8, 14, 17}, {4, 8, 15, 18}, {4, 8, 9, 16}, {4, 9, 14, 19}, {4, 9, 18, 20}, {5, 10, 15, 20}, {5, 11, 12, 17}, {5, 11, 18, 20}, {5, 12, 14, 19}, {5, 13, 17, 18}, {5, 13, 19, 20}, {5, 14, 16, 20}, {5, 6, 10, 12}, {5, 6, 11, 19}, {5, 6, 14, 15}, {5, 6, 16, 17}, {5, 6, 7, 9}, {5, 7, 10, 14}, {5, 7, 11, 16}, {5, 7, 12, 18}, {5, 7, 13, 15}, {5, 7, 17, 19}, {5, 8, 10, 11}, {5, 8, 13, 16}, {5, 8, 14, 18}, {5, 8, 15, 19}, {5, 8, 17, 20}, {5, 9, 10, 17}, {5, 9, 12, 13}, {5, 9, 15, 18}, {5, 9, 16, 19}, {6, 10, 11, 18}, {6, 10, 13, 14}, {6, 10, 16, 19}, {6, 10, 17, 20}, {6, 12, 13, 18}, {6, 13, 15, 20}, {6, 14, 18, 19}, {6, 7, 11, 13}, {6, 7, 12, 20}, {6, 7, 15, 16}, {6, 7, 17, 18}, {6, 7, 8, 10}, {6, 8, 11, 15}, {6, 8, 12, 17}, {6, 8, 13, 19}, {6, 8, 14, 16}, {6, 8, 18, 20}, {6, 9, 11, 12}, {6, 9, 14, 17}, {6, 9, 15, 19}, {6, 9, 16, 20}, {7, 10, 12, 13}, {7, 10, 15, 18}, {7, 10, 16, 20}, {7, 11, 12, 19}, {7, 11, 14, 15}, {7, 11, 17, 20}, {7, 13, 14, 19}, {7, 15, 19, 20}, {7, 8, 12, 14}, {7, 8, 16, 17}, {7, 8, 18, 19}, {7, 8, 9, 11}, {7, 9, 12, 16}, {7, 9, 13, 18}, {7, 9, 14, 20}, {7, 9, 15, 17}, {8, 10, 13, 17}, {8, 10, 14, 19}, {8, 10, 16, 18}, {8, 11, 13, 14}, {8, 11, 16, 19}, {8, 12, 13, 20}, {8, 12, 15, 16}, {8, 14, 15, 20}, {8, 9, 10, 12}, {8, 9, 13, 15}, {8, 9, 17, 18}, {8, 9, 19, 20}, {9, 10, 11, 13}, {9, 10, 14, 16}, {9, 10, 18, 19}, {9, 11, 14, 18}, {9, 11, 15, 20}, {9, 11, 17, 19}, {9, 12, 14, 15}, {9, 12, 17, 20}, {9, 13, 16, 17}, {10, 11, 12, 14}, {10, 11, 15, 17}, {10, 11, 19, 20}, {10, 12, 15, 19}, {10, 12, 18, 20}, {10, 13, 15, 16}, {10, 14, 17, 18}, {11, 12, 13, 15}, {11, 12, 16, 18}, {11, 13, 16, 20}, {11, 14, 16, 17}, {11, 15, 18, 19}, {12, 13, 14, 16}, {12, 13, 17, 19}, {12, 15, 17, 18}, {12, 16, 19, 20}, {13, 14, 15, 17}, {13, 14, 18, 20}, {13, 16, 18, 19}, {14, 15, 16, 18}, {14, 17, 19, 20}, {15, 16, 17, 19}, {16, 17, 18, 20}}, "OtherNames" -> {"3-(20,4,1)"}|>, "SQS(22)" -> <|"System" -> {3, 4, 22}, "SubsetSize" -> 3, "BlockSize" -> 4, "SymbolCount" -> 22, "BlockCount" -> 385, "Blocks" -> {{1, 10, 12, 21}, {1, 10, 13, 16}, {1, 10, 14, 17}, {1, 10, 20, 22}, {1, 11, 12, 22}, {1, 11, 13, 14}, {1, 12, 15, 20}, {1, 13, 19, 22}, {1, 14, 15, 22}, {1, 14, 18, 19}, {1, 15, 17, 21}, {1, 16, 17, 22}, {1, 16, 18, 21}, {1, 19, 20, 21}, {1, 2, 11, 21}, {1, 2, 12, 13}, {1, 2, 14, 20}, {1, 2, 15, 16}, {1, 2, 17, 18}, {1, 2, 3, 5}, {1, 2, 4, 22}, {1, 2, 6, 19}, {1, 2, 7, 8}, {1, 2, 9, 10}, {1, 3, 10, 15}, {1, 3, 11, 16}, {1, 3, 12, 14}, {1, 3, 17, 19}, {1, 3, 18, 20}, {1, 3, 21, 22}, {1, 3, 4, 13}, {1, 3, 6, 8}, {1, 3, 7, 9}, {1, 4, 10, 19}, {1, 4, 11, 20}, {1, 4, 15, 18}, {1, 4, 5, 17}, {1, 4, 6, 21}, {1, 4, 7, 14}, {1, 4, 8, 16}, {1, 4, 9, 12}, {1, 5, 11, 19}, {1, 5, 12, 16}, {1, 5, 13, 20}, {1, 5, 18, 22}, {1, 5, 6, 10}, {1, 5, 7, 21}, {1, 5, 8, 14}, {1, 5, 9, 15}, {1, 6, 11, 17}, {1, 6, 12, 18}, {1, 6, 13, 15}, {1, 6, 14, 16}, {1, 6, 7, 22}, {1, 6, 9, 20}, {1, 7, 10, 11}, {1, 7, 12, 17}, {1, 7, 13, 18}, {1, 7, 15, 19}, {1, 7, 16, 20}, {1, 8, 10, 18}, {1, 8, 11, 15}, {1, 8, 12, 19}, {1, 8, 13, 21}, {1, 8, 17, 20}, {1, 8, 9, 22}, {1, 9, 11, 18}, {1, 9, 13, 17}, {1, 9, 14, 21}, {1, 9, 16, 19}, {10, 11, 12, 14}, {10, 11, 16, 17}, {10, 11, 18, 19}, {10, 11, 21, 22}, {10, 12, 13, 22}, {10, 12, 15, 17}, {10, 12, 16, 18}, {10, 13, 18, 21}, {10, 14, 15, 19}, {10, 16, 19, 20}, {11, 12, 13, 15}, {11, 12, 17, 18}, {11, 12, 19, 20}, {11, 13, 16, 18}, {11, 13, 17, 19}, {11, 14, 19, 22}, {11, 15, 16, 20}, {11, 17, 20, 21}, {12, 13, 14, 16}, {12, 13, 18, 19}, {12, 13, 20, 21}, {12, 14, 17, 19}, {12, 14, 18, 20}, {12, 16, 17, 21}, {12, 18, 21, 22}, {13, 14, 15, 17}, {13, 14, 19, 20}, {13, 14, 21, 22}, {13, 15, 18, 20}, {13, 15, 19, 21}, {13, 17, 18, 22}, {14, 15, 16, 18}, {14, 15, 20, 21}, {14, 16, 19, 21}, {14, 16, 20, 22}, {15, 16, 17, 19}, {15, 16, 21, 22}, {15, 17, 20, 22}, {16, 17, 18, 20}, {17, 18, 19, 21}, {18, 19, 20, 22}, {2, 10, 12, 19}, {2, 10, 14, 18}, {2, 10, 15, 22}, {2, 10, 17, 20}, {2, 11, 13, 22}, {2, 11, 14, 17}, {2, 11, 15, 18}, {2, 12, 14, 15}, {2, 13, 16, 21}, {2, 15, 19, 20}, {2, 16, 18, 22}, {2, 17, 19, 22}, {2, 20, 21, 22}, {2, 3, 10, 11}, {2, 3, 12, 22}, {2, 3, 13, 14}, {2, 3, 15, 21}, {2, 3, 16, 17}, {2, 3, 18, 19}, {2, 3, 4, 6}, {2, 3, 7, 20}, {2, 3, 8, 9}, {2, 4, 11, 16}, {2, 4, 12, 17}, {2, 4, 13, 15}, {2, 4, 18, 20}, {2, 4, 19, 21}, {2, 4, 5, 14}, {2, 4, 7, 9}, {2, 4, 8, 10}, {2, 5, 10, 13}, {2, 5, 11, 20}, {2, 5, 12, 21}, {2, 5, 16, 19}, {2, 5, 6, 18}, {2, 5, 7, 22}, {2, 5, 8, 15}, {2, 5, 9, 17}, {2, 6, 10, 16}, {2, 6, 12, 20}, {2, 6, 13, 17}, {2, 6, 14, 21}, {2, 6, 7, 11}, {2, 6, 8, 22}, {2, 6, 9, 15}, {2, 7, 10, 21}, {2, 7, 12, 18}, {2, 7, 13, 19}, {2, 7, 14, 16}, {2, 7, 15, 17}, {2, 8, 11, 12}, {2, 8, 13, 18}, {2, 8, 14, 19}, {2, 8, 16, 20}, {2, 8, 17, 21}, {2, 9, 11, 19}, {2, 9, 12, 16}, {2, 9, 13, 20}, {2, 9, 14, 22}, {2, 9, 18, 21}, {3, 10, 12, 20}, {3, 10, 13, 17}, {3, 10, 14, 21}, {3, 10, 19, 22}, {3, 11, 13, 20}, {3, 11, 15, 19}, {3, 11, 18, 21}, {3, 12, 15, 18}, {3, 12, 16, 19}, {3, 13, 15, 16}, {3, 14, 17, 22}, {3, 16, 20, 21}, {3, 4, 11, 12}, {3, 4, 14, 15}, {3, 4, 16, 22}, {3, 4, 17, 18}, {3, 4, 19, 20}, {3, 4, 5, 7}, {3, 4, 8, 21}, {3, 4, 9, 10}, {3, 5, 12, 17}, {3, 5, 13, 18}, {3, 5, 14, 16}, {3, 5, 19, 21}, {3, 5, 20, 22}, {3, 5, 6, 15}, {3, 5, 8, 10}, {3, 5, 9, 11}, {3, 6, 10, 18}, {3, 6, 11, 14}, {3, 6, 12, 21}, {3, 6, 13, 22}, {3, 6, 17, 20}, {3, 6, 7, 19}, {3, 6, 9, 16}, {3, 7, 10, 16}, {3, 7, 11, 17}, {3, 7, 13, 21}, {3, 7, 14, 18}, {3, 7, 15, 22}, {3, 7, 8, 12}, {3, 8, 11, 22}, {3, 8, 13, 19}, {3, 8, 14, 20}, {3, 8, 15, 17}, {3, 8, 16, 18}, {3, 9, 12, 13}, {3, 9, 14, 19}, {3, 9, 15, 20}, {3, 9, 17, 21}, {3, 9, 18, 22}, {4, 10, 13, 14}, {4, 10, 15, 20}, {4, 10, 16, 21}, {4, 10, 18, 22}, {4, 11, 13, 21}, {4, 11, 14, 18}, {4, 11, 15, 22}, {4, 12, 14, 21}, {4, 12, 16, 20}, {4, 12, 19, 22}, {4, 13, 16, 19}, {4, 13, 17, 20}, {4, 14, 16, 17}, {4, 17, 21, 22}, {4, 5, 10, 11}, {4, 5, 12, 13}, {4, 5, 15, 16}, {4, 5, 18, 19}, {4, 5, 20, 21}, {4, 5, 6, 8}, {4, 5, 9, 22}, {4, 6, 10, 12}, {4, 6, 13, 18}, {4, 6, 14, 19}, {4, 6, 15, 17}, {4, 6, 20, 22}, {4, 6, 7, 16}, {4, 6, 9, 11}, {4, 7, 10, 17}, {4, 7, 11, 19}, {4, 7, 12, 15}, {4, 7, 13, 22}, {4, 7, 18, 21}, {4, 7, 8, 20}, {4, 8, 11, 17}, {4, 8, 12, 18}, {4, 8, 14, 22}, {4, 8, 15, 19}, {4, 8, 9, 13}, {4, 9, 14, 20}, {4, 9, 15, 21}, {4, 9, 16, 18}, {4, 9, 17, 19}, {5, 10, 15, 21}, {5, 10, 16, 22}, {5, 10, 17, 19}, {5, 10, 18, 20}, {5, 11, 14, 15}, {5, 11, 16, 21}, {5, 11, 17, 22}, {5, 12, 14, 22}, {5, 12, 15, 19}, {5, 13, 15, 22}, {5, 13, 17, 21}, {5, 14, 17, 20}, {5, 14, 18, 21}, {5, 15, 17, 18}, {5, 6, 11, 12}, {5, 6, 13, 14}, {5, 6, 16, 17}, {5, 6, 19, 20}, {5, 6, 21, 22}, {5, 6, 7, 9}, {5, 7, 10, 12}, {5, 7, 11, 13}, {5, 7, 14, 19}, {5, 7, 15, 20}, {5, 7, 16, 18}, {5, 7, 8, 17}, {5, 8, 11, 18}, {5, 8, 12, 20}, {5, 8, 13, 16}, {5, 8, 19, 22}, {5, 8, 9, 21}, {5, 9, 10, 14}, {5, 9, 12, 18}, {5, 9, 13, 19}, {5, 9, 16, 20}, {6, 10, 11, 15}, {6, 10, 13, 19}, {6, 10, 14, 20}, {6, 10, 17, 21}, {6, 11, 16, 22}, {6, 11, 18, 20}, {6, 11, 19, 21}, {6, 12, 15, 16}, {6, 12, 17, 22}, {6, 13, 16, 20}, {6, 14, 18, 22}, {6, 15, 18, 21}, {6, 15, 19, 22}, {6, 16, 18, 19}, {6, 7, 12, 13}, {6, 7, 14, 15}, {6, 7, 17, 18}, {6, 7, 20, 21}, {6, 7, 8, 10}, {6, 8, 11, 13}, {6, 8, 12, 14}, {6, 8, 15, 20}, {6, 8, 16, 21}, {6, 8, 17, 19}, {6, 8, 9, 18}, {6, 9, 10, 22}, {6, 9, 12, 19}, {6, 9, 13, 21}, {6, 9, 14, 17}, {7, 10, 13, 20}, {7, 10, 14, 22}, {7, 10, 15, 18}, {7, 11, 12, 16}, {7, 11, 14, 20}, {7, 11, 15, 21}, {7, 11, 18, 22}, {7, 12, 19, 21}, {7, 12, 20, 22}, {7, 13, 16, 17}, {7, 14, 17, 21}, {7, 16, 19, 22}, {7, 17, 19, 20}, {7, 8, 13, 14}, {7, 8, 15, 16}, {7, 8, 18, 19}, {7, 8, 21, 22}, {7, 8, 9, 11}, {7, 9, 10, 19}, {7, 9, 12, 14}, {7, 9, 13, 15}, {7, 9, 16, 21}, {7, 9, 17, 22}, {7, 9, 18, 20}, {8, 10, 11, 20}, {8, 10, 13, 15}, {8, 10, 14, 16}, {8, 10, 17, 22}, {8, 10, 19, 21}, {8, 11, 14, 21}, {8, 11, 16, 19}, {8, 12, 13, 17}, {8, 12, 15, 21}, {8, 12, 16, 22}, {8, 13, 20, 22}, {8, 14, 17, 18}, {8, 15, 18, 22}, {8, 18, 20, 21}, {8, 9, 10, 12}, {8, 9, 14, 15}, {8, 9, 16, 17}, {8, 9, 19, 20}, {9, 10, 11, 13}, {9, 10, 15, 16}, {9, 10, 17, 18}, {9, 10, 20, 21}, {9, 11, 12, 21}, {9, 11, 14, 16}, {9, 11, 15, 17}, {9, 11, 20, 22}, {9, 12, 15, 22}, {9, 12, 17, 20}, {9, 13, 14, 18}, {9, 13, 16, 22}, {9, 15, 18, 19}, {9, 19, 21, 22}}, "OtherNames" -> {"3-(22,4,1)"}|>, "SQS(25)" -> <|"System" -> {2, 4, 25}, "SubsetSize" -> 2, "BlockSize" -> 4, "SymbolCount" -> 25, "BlockCount" -> 50, "Blocks" -> {{1, 9, 17, 25}, {3, 8, 15, 19}, {14, 16, 18, 20}, {3, 9, 23, 24}, {6, 18, 19, 22}, {12, 14, 19, 23}, {2, 9, 13, 16}, {6, 9, 14, 21}, {5, 15, 20, 23}, {10, 13, 22, 23}, {15, 16, 21, 22}, {15, 17, 18, 24}, {1, 3, 12, 22}, {5, 10, 19, 25}, {7, 11, 16, 23}, {3, 7, 10, 18}, {3, 17, 20, 21}, {7, 13, 17, 19}, {4, 11, 18, 25}, {4, 9, 10, 15}, {2, 19, 21, 24}, {2, 11, 12, 15}, {4, 6, 17, 23}, {2, 10, 14, 17}, {1, 2, 18, 23}, {8, 11, 17, 22}, {1, 5, 8, 14}, {9, 11, 19, 20}, {4, 8, 13, 20}, {1, 6, 13, 15}, {7, 14, 15, 25}, {4, 7, 12, 21}, {1, 7, 20, 24}, {2, 3, 4, 5}, {2, 20, 22, 25}, {5, 6, 11, 24}, {8, 9, 12, 18}, {12, 13, 24, 25}, {5, 12, 16, 17}, {3, 6, 16, 25}, {3, 11, 13, 14}, {1, 4, 16, 19}, {6, 10, 12, 20}, {8, 21, 23, 25}, {8, 10, 16, 24}, {2, 6, 7, 8}, {4, 14, 22, 24}, {1, 10, 11, 21}, {5, 13, 18, 21}, {5, 7, 9, 22}}, "OtherNames" -> {"2-(25,4,1)"}|>, "SQS(28)" -> <|"System" -> {2, 4, 28}, "SubsetSize" -> 2, "BlockSize" -> 4, "SymbolCount" -> 28, "BlockCount" -> 63, "Blocks" -> {{1, 2, 3, 4}, {5, 6, 7, 8}, {9, 10, 11, 12}, {13, 14, 15, 16}, {17, 18, 19, 20}, {21, 22, 23, 24}, {25, 26, 27, 28}, {1, 5, 21, 25}, {2, 6, 13, 17}, {3, 11, 16, 28}, {4, 12, 20, 24}, {7, 9, 19, 27}, {8, 10, 15, 23}, {14, 18, 22, 26}, {1, 6, 24, 28}, {2, 5, 15, 19}, {3, 9, 14, 25}, {4, 10, 18, 21}, {7, 12, 13, 22}, {8, 11, 17, 26}, {16, 20, 23, 27}, {1, 7, 16, 18}, {2, 8, 21, 27}, {3, 10, 19, 24}, {4, 9, 13, 26}, {5, 12, 14, 23}, {6, 11, 20, 25}, {15, 17, 22, 28}, {1, 8, 14, 20}, {2, 7, 24, 26}, {3, 12, 17, 21}, {4, 11, 15, 27}, {5, 9, 18, 28}, {6, 10, 16, 22}, {13, 19, 23, 25}, {1, 9, 17, 23}, {2, 10, 14, 28}, {3, 7, 15, 20}, {4, 8, 22, 25}, {5, 11, 13, 24}, {6, 12, 18, 27}, {16, 19, 21, 26}, {1, 10, 13, 27}, {2, 9, 20, 22}, {3, 6, 23, 26}, {4, 5, 16, 17}, {7, 11, 14, 21}, {8, 12, 19, 28}, {15, 18, 24, 25}, {1, 11, 19, 22}, {2, 12, 16, 25}, {3, 8, 13, 18}, {4, 7, 23, 28}, {5, 10, 20, 26}, {6, 9, 15, 21}, {14, 17, 24, 27}, {1, 12, 15, 26}, {2, 11, 18, 23}, {3, 5, 22, 27}, {4, 6, 14, 19}, {7, 10, 17, 25}, {8, 9, 16, 24}, {13, 20, 21, 28}}, "ResolvablePartition" -> 7, "OtherNames" -> {"2-(28,4,1)", "social golfers 28"}|>, "SQS(37)" -> <|"System" -> {2, 4, 37}, "SubsetSize" -> 2, "BlockSize" -> 4, "SymbolCount" -> 37, "BlockCount" -> 111, "Blocks" -> {{1, 2, 4, 25}, {1, 3, 24, 37}, {1, 5, 27, 33}, {1, 6, 10, 32}, {1, 7, 12, 16}, {1, 8, 18, 26}, {1, 9, 21, 28}, {1, 11, 19, 31}, {1, 13, 20, 30}, {1, 14, 15, 17}, {1, 22, 35, 36}, {1, 23, 29, 34}, {2, 3, 5, 26}, {2, 6, 28, 34}, {2, 7, 11, 33}, {2, 8, 13, 17}, {2, 9, 19, 27}, {2, 10, 22, 29}, {2, 12, 20, 32}, {2, 14, 21, 31}, {2, 15, 16, 18}, {2, 23, 36, 37}, {2, 24, 30, 35}, {3, 4, 6, 27}, {3, 7, 29, 35}, {3, 8, 12, 34}, {3, 9, 14, 18}, {3, 10, 20, 28}, {3, 11, 23, 30}, {3, 13, 21, 33}, {3, 15, 22, 32}, {3, 16, 17, 19}, {3, 25, 31, 36}, {4, 5, 7, 28}, {4, 8, 30, 36}, {4, 9, 13, 35}, {4, 10, 15, 19}, {4, 11, 21, 29}, {4, 12, 24, 31}, {4, 14, 22, 34}, {4, 16, 23, 33}, {4, 17, 18, 20}, {4, 26, 32, 37}, {5, 6, 8, 29}, {5, 9, 31, 37}, {5, 10, 14, 36}, {5, 11, 16, 20}, {5, 12, 22, 30}, {5, 13, 25, 32}, {5, 15, 23, 35}, {5, 17, 24, 34}, {5, 18, 19, 21}, {6, 7, 9, 30}, {6, 11, 15, 37}, {6, 12, 17, 21}, {6, 13, 23, 31}, {6, 14, 26, 33}, {6, 16, 24, 36}, {6, 18, 25, 35}, {6, 19, 20, 22}, {7, 8, 10, 31}, {7, 13, 18, 22}, {7, 14, 24, 32}, {7, 15, 27, 34}, {7, 17, 25, 37}, {7, 19, 26, 36}, {7, 20, 21, 23}, {8, 9, 11, 32}, {8, 14, 19, 23}, {8, 15, 25, 33}, {8, 16, 28, 35}, {8, 20, 27, 37}, {8, 21, 22, 24}, {9, 10, 12, 33}, {9, 15, 20, 24}, {9, 16, 26, 34}, {9, 17, 29, 36}, {9, 22, 23, 25}, {10, 11, 13, 34}, {10, 16, 21, 25}, {10, 17, 27, 35}, {10, 18, 30, 37}, {10, 23, 24, 26}, {11, 12, 14, 35}, {11, 17, 22, 26}, {11, 18, 28, 36}, {11, 24, 25, 27}, {12, 13, 15, 36}, {12, 18, 23, 27}, {12, 19, 29, 37}, {12, 25, 26, 28}, {13, 14, 16, 37}, {13, 19, 24, 28}, {13, 26, 27, 29}, {14, 20, 25, 29}, {14, 27, 28, 30}, {15, 21, 26, 30}, {15, 28, 29, 31}, {16, 22, 27, 31}, {16, 29, 30, 32}, {17, 23, 28, 32}, {17, 30, 31, 33}, {18, 24, 29, 33}, {18, 31, 32, 34}, {19, 25, 30, 34}, {19, 32, 33, 35}, {20, 26, 31, 35}, {20, 33, 34, 36}, {21, 27, 32, 36}, {21, 34, 35, 37}, {22, 28, 33, 37}}, "OtherNames" -> {"2-(37,4,1)"}|>, "SQS(40)" -> <|"System" -> {2, 4, 40}, "SubsetSize" -> 2, "BlockSize" -> 4, "SymbolCount" -> 40, "BlockCount" -> 130, "Blocks" -> {{1, 2, 7, 32}, {1, 3, 13, 24}, {1, 4, 8, 23}, {1, 5, 20, 37}, {1, 6, 31, 39}, {1, 9, 10, 15}, {1, 11, 22, 38}, {1, 12, 28, 30}, {1, 14, 27, 40}, {1, 16, 33, 36}, {1, 17, 19, 29}, {1, 18, 21, 25}, {1, 26, 34, 35}, {2, 3, 8, 33}, {2, 4, 14, 25}, {2, 5, 9, 24}, {2, 6, 21, 38}, {2, 10, 11, 16}, {2, 12, 23, 39}, {2, 13, 29, 31}, {2, 15, 28, 40}, {2, 17, 34, 37}, {2, 18, 20, 30}, {2, 19, 22, 26}, {2, 27, 35, 36}, {3, 4, 9, 34}, {3, 5, 15, 26}, {3, 6, 10, 25}, {3, 7, 22, 39}, {3, 11, 12, 17}, {3, 14, 30, 32}, {3, 16, 29, 40}, {3, 18, 35, 38}, {3, 19, 21, 31}, {3, 20, 23, 27}, {3, 28, 36, 37}, {4, 5, 10, 35}, {4, 6, 16, 27}, {4, 7, 11, 26}, {4, 12, 13, 18}, {4, 15, 31, 33}, {4, 17, 30, 40}, {4, 19, 36, 39}, {4, 20, 22, 32}, {4, 21, 24, 28}, {4, 29, 37, 38}, {5, 6, 11, 36}, {5, 7, 17, 28}, {5, 8, 12, 27}, {5, 13, 14, 19}, {5, 16, 32, 34}, {5, 18, 31, 40}, {5, 21, 23, 33}, {5, 22, 25, 29}, {5, 30, 38, 39}, {6, 7, 12, 37}, {6, 8, 18, 29}, {6, 9, 13, 28}, {6, 14, 15, 20}, {6, 17, 33, 35}, {6, 19, 32, 40}, {6, 22, 24, 34}, {6, 23, 26, 30}, {7, 8, 13, 38}, {7, 9, 19, 30}, {7, 10, 14, 29}, {7, 15, 16, 21}, {7, 18, 34, 36}, {7, 20, 33, 40}, {7, 23, 25, 35}, {7, 24, 27, 31}, {8, 9, 14, 39}, {8, 10, 20, 31}, {8, 11, 15, 30}, {8, 16, 17, 22}, {8, 19, 35, 37}, {8, 21, 34, 40}, {8, 24, 26, 36}, {8, 25, 28, 32}, {9, 11, 21, 32}, {9, 12, 16, 31}, {9, 17, 18, 23}, {9, 20, 36, 38}, {9, 22, 35, 40}, {9, 25, 27, 37}, {9, 26, 29, 33}, {10, 12, 22, 33}, {10, 13, 17, 32}, {10, 18, 19, 24}, {10, 21, 37, 39}, {10, 23, 36, 40}, {10, 26, 28, 38}, {10, 27, 30, 34}, {11, 13, 23, 34}, {11, 14, 18, 33}, {11, 19, 20, 25}, {11, 24, 37, 40}, {11, 27, 29, 39}, {11, 28, 31, 35}, {12, 14, 24, 35}, {12, 15, 19, 34}, {12, 20, 21, 26}, {12, 25, 38, 40}, {12, 29, 32, 36}, {13, 15, 25, 36}, {13, 16, 20, 35}, {13, 21, 22, 27}, {13, 26, 39, 40}, {13, 30, 33, 37}, {14, 16, 26, 37}, {14, 17, 21, 36}, {14, 22, 23, 28}, {14, 31, 34, 38}, {15, 17, 27, 38}, {15, 18, 22, 37}, {15, 23, 24, 29}, {15, 32, 35, 39}, {16, 18, 28, 39}, {16, 19, 23, 38}, {16, 24, 25, 30}, {17, 20, 24, 39}, {17, 25, 26, 31}, {18, 26, 27, 32}, {19, 27, 28, 33}, {20, 28, 29, 34}, {21, 29, 30, 35}, {22, 30, 31, 36}, {23, 31, 32, 37}, {24, 32, 33, 38}, {25, 33, 34, 39}}, "OtherNames" -> {"2-(40,4,1)"}|>, "SQS(49)" -> <|"System" -> {2, 4, 49}, "SubsetSize" -> 2, "BlockSize" -> 4, "SymbolCount" -> 49, "BlockCount" -> 196, "Blocks" -> {{1, 2, 4, 9}, {1, 3, 8, 49}, {1, 5, 19, 30}, {1, 6, 47, 48}, {1, 7, 22, 34}, {1, 10, 20, 33}, {1, 11, 24, 41}, {1, 12, 32, 36}, {1, 13, 29, 35}, {1, 14, 31, 40}, {1, 15, 26, 46}, {1, 16, 28, 44}, {1, 17, 23, 38}, {1, 18, 27, 37}, {1, 21, 25, 39}, {1, 42, 43, 45}, {2, 3, 5, 10}, {2, 6, 20, 31}, {2, 7, 48, 49}, {2, 8, 23, 35}, {2, 11, 21, 34}, {2, 12, 25, 42}, {2, 13, 33, 37}, {2, 14, 30, 36}, {2, 15, 32, 41}, {2, 16, 27, 47}, {2, 17, 29, 45}, {2, 18, 24, 39}, {2, 19, 28, 38}, {2, 22, 26, 40}, {2, 43, 44, 46}, {3, 4, 6, 11}, {3, 7, 21, 32}, {3, 9, 24, 36}, {3, 12, 22, 35}, {3, 13, 26, 43}, {3, 14, 34, 38}, {3, 15, 31, 37}, {3, 16, 33, 42}, {3, 17, 28, 48}, {3, 18, 30, 46}, {3, 19, 25, 40}, {3, 20, 29, 39}, {3, 23, 27, 41}, {3, 44, 45, 47}, {4, 5, 7, 12}, {4, 8, 22, 33}, {4, 10, 25, 37}, {4, 13, 23, 36}, {4, 14, 27, 44}, {4, 15, 35, 39}, {4, 16, 32, 38}, {4, 17, 34, 43}, {4, 18, 29, 49}, {4, 19, 31, 47}, {4, 20, 26, 41}, {4, 21, 30, 40}, {4, 24, 28, 42}, {4, 45, 46, 48}, {5, 6, 8, 13}, {5, 9, 23, 34}, {5, 11, 26, 38}, {5, 14, 24, 37}, {5, 15, 28, 45}, {5, 16, 36, 40}, {5, 17, 33, 39}, {5, 18, 35, 44}, {5, 20, 32, 48}, {5, 21, 27, 42}, {5, 22, 31, 41}, {5, 25, 29, 43}, {5, 46, 47, 49}, {6, 7, 9, 14}, {6, 10, 24, 35}, {6, 12, 27, 39}, {6, 15, 25, 38}, {6, 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{11, 28, 37, 47}, {11, 31, 35, 49}, {12, 13, 15, 20}, {12, 16, 30, 41}, {12, 18, 33, 45}, {12, 21, 31, 44}, {12, 23, 43, 47}, {12, 24, 40, 46}, {12, 28, 34, 49}, {12, 29, 38, 48}, {13, 14, 16, 21}, {13, 17, 31, 42}, {13, 19, 34, 46}, {13, 22, 32, 45}, {13, 24, 44, 48}, {13, 25, 41, 47}, {13, 30, 39, 49}, {14, 15, 17, 22}, {14, 18, 32, 43}, {14, 20, 35, 47}, {14, 23, 33, 46}, {14, 25, 45, 49}, {14, 26, 42, 48}, {15, 16, 18, 23}, {15, 19, 33, 44}, {15, 21, 36, 48}, {15, 24, 34, 47}, {15, 27, 43, 49}, {16, 17, 19, 24}, {16, 20, 34, 45}, {16, 22, 37, 49}, {16, 25, 35, 48}, {17, 18, 20, 25}, {17, 21, 35, 46}, {17, 26, 36, 49}, {18, 19, 21, 26}, {18, 22, 36, 47}, {19, 20, 22, 27}, {19, 23, 37, 48}, {20, 21, 23, 28}, {20, 24, 38, 49}, {21, 22, 24, 29}, {22, 23, 25, 30}, {23, 24, 26, 31}, {24, 25, 27, 32}, {25, 26, 28, 33}, {26, 27, 29, 34}, {27, 28, 30, 35}, {28, 29, 31, 36}, {29, 30, 32, 37}, {30, 31, 33, 38}, {31, 32, 34, 39}, {32, 33, 35, 40}, {33, 34, 36, 41}, {34, 35, 37, 42}, {35, 36, 38, 43}, {36, 37, 39, 44}, {37, 38, 40, 45}, {38, 39, 41, 46}, {39, 40, 42, 47}, {40, 41, 43, 48}, {41, 42, 44, 49}}, "OtherNames" -> {"2-(49,4,1)"}|>, "SQS(52)" -> <|"System" -> {2, 4, 52}, "SubsetSize" -> 2, "BlockSize" -> 4, "SymbolCount" -> 52, "BlockCount" -> 221, "Blocks" -> {{1, 2, 4, 9}, {1, 3, 8, 51}, {1, 5, 19, 31}, {1, 6, 49, 50}, {1, 7, 20, 30}, {1, 10, 21, 37}, {1, 11, 33, 39}, {1, 12, 28, 43}, {1, 13, 34, 38}, {1, 14, 24, 46}, {1, 15, 27, 48}, {1, 16, 25, 36}, {1, 17, 32, 41}, {1, 18, 35, 52}, {1, 22, 26, 40}, {1, 23, 29, 42}, {1, 44, 45, 47}, {2, 3, 5, 10}, {2, 6, 20, 32}, {2, 7, 50, 51}, {2, 8, 21, 31}, {2, 11, 22, 38}, {2, 12, 34, 40}, {2, 13, 29, 44}, {2, 14, 35, 39}, {2, 15, 25, 47}, {2, 16, 28, 49}, {2, 17, 26, 37}, {2, 18, 33, 42}, {2, 19, 36, 52}, {2, 23, 27, 41}, {2, 24, 30, 43}, {2, 45, 46, 48}, {3, 4, 6, 11}, {3, 7, 21, 33}, {3, 9, 22, 32}, {3, 12, 23, 39}, {3, 13, 35, 41}, {3, 14, 30, 45}, {3, 15, 36, 40}, {3, 16, 26, 48}, {3, 17, 29, 50}, {3, 18, 27, 38}, {3, 19, 34, 43}, {3, 20, 37, 52}, {3, 24, 28, 42}, {3, 25, 31, 44}, {3, 46, 47, 49}, {4, 5, 7, 12}, {4, 8, 22, 34}, {4, 10, 23, 33}, {4, 13, 24, 40}, {4, 14, 36, 42}, {4, 15, 31, 46}, {4, 16, 37, 41}, {4, 17, 27, 49}, {4, 18, 30, 51}, {4, 19, 28, 39}, {4, 20, 35, 44}, {4, 21, 38, 52}, {4, 25, 29, 43}, {4, 26, 32, 45}, {4, 47, 48, 50}, {5, 6, 8, 13}, {5, 9, 23, 35}, {5, 11, 24, 34}, {5, 14, 25, 41}, {5, 15, 37, 43}, {5, 16, 32, 47}, {5, 17, 38, 42}, {5, 18, 28, 50}, {5, 20, 29, 40}, {5, 21, 36, 45}, {5, 22, 39, 52}, {5, 26, 30, 44}, {5, 27, 33, 46}, {5, 48, 49, 51}, {6, 7, 9, 14}, {6, 10, 24, 36}, {6, 12, 25, 35}, {6, 15, 26, 42}, {6, 16, 38, 44}, {6, 17, 33, 48}, {6, 18, 39, 43}, {6, 19, 29, 51}, {6, 21, 30, 41}, {6, 22, 37, 46}, {6, 23, 40, 52}, {6, 27, 31, 45}, {6, 28, 34, 47}, {7, 8, 10, 15}, {7, 11, 25, 37}, {7, 13, 26, 36}, {7, 16, 27, 43}, {7, 17, 39, 45}, {7, 18, 34, 49}, {7, 19, 40, 44}, {7, 22, 31, 42}, {7, 23, 38, 47}, {7, 24, 41, 52}, {7, 28, 32, 46}, {7, 29, 35, 48}, {8, 9, 11, 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{38, 39, 41, 46}, {39, 40, 42, 47}, {40, 41, 43, 48}, {41, 42, 44, 49}, {42, 43, 45, 50}, {43, 44, 46, 51}}, "OtherNames" -> {"2-(52,4,1)"}|>|>