diff --git a/research/complex-rank8-rigidity-p108/COVER.json b/research/complex-rank8-rigidity-p108/COVER.json
new file mode 100644
index 0000000000..10a419c650
--- /dev/null
+++ b/research/complex-rank8-rigidity-p108/COVER.json
@@ -0,0 +1 @@
+{"2 10 12 14": ["u029", [0, 5, 0, 7, 3, 4, 3]], "2 10 12 15": ["u012", [0, 1]], "2 10 12 24": ["u016", [4, 1, 2, 3, 6, 3]], "2 10 12 30": ["u045", [0, 1]], "2 10 12 31": ["u046", [0, 1]], "2 10 12 32": ["u047", [0, 1]], "2 10 12 42": ["u051", [0, 1]], "2 10 12 43": ["u049", [0, 1]], "2 10 12 47": ["u040", [1, 0, 7, 6, 1, 3, 6]], "2 10 13 14": ["u028", [0, 5, 0, 7, 3, 4, 3]], "2 10 13 17": ["u029", [0, 1]], "2 10 13 31": ["u046", [0, 5, 0, 7, 3, 4, 3]], "2 10 13 33": ["u047", [0, 5, 0, 7, 3, 4, 3]], "2 10 13 44": ["u040", [1, 7, 6, 1, 6, 7]], "2 12 13 14": ["u028", [2, 7, 1, 0, 7, 0]], "2 12 13 15": ["u032", [2, 7, 1, 7, 0, 7]], "2 12 13 17": ["u029", [0, 2, 7, 1]], "2 12 13 24": ["u016", [2, 7, 1, 7, 0]], "2 12 13 30": ["u021", [0, 6, 7, 0, 5, 2, 6]], "2 12 13 31": ["u036", [2, 7, 1, 6, 7, 6]], "2 12 13 32": ["u048", [2, 7, 1, 3, 7, 3]], "2 12 13 33": ["u047", [2, 7, 1, 3, 7, 3]], "2 12 13 42": ["u022", [0, 2, 5, 7, 1, 6, 7, 4]], "2 12 13 43": ["u027", [7, 5, 2, 1, 3, 0]], "2 12 13 44": ["u050", [4, 3, 5, 2, 3, 5]], "2 12 13 47": ["u052", [0, 4, 7, 6, 1, 0, 6, 7]], "2 12 14 100": ["u100", [7]], "2 12 14 101": ["u098", [1, 2, 7, 0, 7, 1, 7]], "2 12 14 102": ["u099", [7]], "2 12 14 103": ["u098", [7]], "2 12 14 104": ["u097", [7]], "2 12 14 105": ["u096", [7]], "2 12 14 107": ["u093", [3, 0, 3]], "2 12 14 108": ["u094", [3, 0, 3]], "2 12 14 109": ["u095", [3, 0, 3]], "2 12 14 110": ["u095", [3, 4, 7, 6, 3, 5, 2]], "2 12 14 111": ["u094", [3, 4, 7, 6, 3, 5, 2]], "2 12 14 112": ["u093", [2, 5, 3, 6, 7, 4, 3]], "2 12 14 113": ["u093", [1, 2, 3, 6, 7, 6, 1]], "2 12 14 114": ["u094", [1, 2, 3, 6, 7, 6, 1]], "2 12 14 115": ["u095", [1, 2, 3, 6, 7, 6, 1]], "2 12 14 116": ["u095", [6, 0, 6]], "2 12 14 117": ["u094", [6, 0, 6]], "2 12 14 118": ["u093", [6, 0, 6]], "2 12 14 15": ["u032", [1, 6, 7, 5, 6, 3, 1]], "2 12 14 16": ["u032", [2, 3, 1, 0, 7, 1, 3]], "2 12 14 17": ["u070", [1, 2]], "2 12 14 18": ["u029", [0, 4, 1, 3, 1, 2, 5]], "2 12 14 19": ["u057", [1, 2, 7, 0, 1]], "2 12 14 21": ["u012", [1, 2, 7, 0, 7, 1]], "2 12 14 22": ["u079", [1, 0, 6, 7, 5, 3, 0]], "2 12 14 23": ["u032", [5, 2, 3, 5, 3, 4]], "2 12 14 24": ["u088", [2, 3, 5, 3]], "2 12 14 25": ["u088", [2, 3, 5, 3, 7]], "2 12 14 26": ["u032", [6, 5, 3, 1, 6, 5, 2]], "2 12 14 27": ["u079", [0, 4, 7, 6, 1, 2, 6]], "2 12 14 28": ["u012", [0, 2, 7, 4, 1, 6, 3]], "2 12 14 30": ["u093", []], "2 12 14 31": ["u094", []], "2 12 14 32": ["u095", []], "2 12 14 33": ["u095", [1, 2, 7, 0, 7, 1]], "2 12 14 34": ["u094", [1, 2, 7, 0, 7, 1]], "2 12 14 35": ["u093", [1, 2, 7, 0, 7, 1]], "2 12 14 36": ["u093", [5, 0, 7, 6, 7, 5]], "2 12 14 37": ["u094", [5, 0, 7, 6, 7, 5]], "2 12 14 38": ["u095", [5, 0, 7, 6, 7, 5]], "2 12 14 39": ["u095", [0, 3, 7, 3, 0]], "2 12 14 40": ["u094", [0, 3, 7, 3, 0]], "2 12 14 41": ["u093", [0, 3, 7, 3, 0]], "2 12 14 42": ["u096", []], "2 12 14 43": ["u097", []], "2 12 14 44": ["u098", []], "2 12 14 45": ["u099", []], "2 12 14 46": ["u098", [1, 2, 7, 0, 7, 1]], "2 12 14 47": ["u100", []], "2 12 14 48": ["u101", []], "2 12 14 49": ["u097", [0, 2, 7, 4, 1, 6, 3]], "2 12 14 50": ["u097", [1, 2, 7, 0, 7, 1]], "2 12 14 51": ["u101", [5, 0, 7, 6, 7, 5]], "2 12 14 52": ["u100", [0, 2, 7, 4, 1, 6, 0, 3]], "2 12 14 53": ["u098", [0, 2, 7, 4, 1, 6, 3]], "2 12 14 54": ["u099", [0, 2, 7, 4, 1, 6, 0, 3]], "2 12 14 55": ["u098", [6, 3, 0, 5, 3, 5, 6, 7]], "2 12 14 56": ["u097", [6, 3, 0, 5, 3, 5, 6, 7]], "2 12 14 57": ["u096", [5, 0, 7, 6, 7, 5]], "2 12 14 58": ["u096", [1, 2, 7, 0, 7, 1]], "2 12 14 59": ["u097", [2, 1, 7, 1, 2, 7]], "2 12 14 60": ["u098", [2, 1, 7, 1, 2, 7]], "2 12 14 61": ["u099", [2, 1, 7, 1, 2, 7]], "2 12 14 62": ["u098", [0, 2, 7, 4, 1, 6, 0, 3]], "2 12 14 63": ["u100", [2, 1, 7, 1, 2, 7]], "2 12 14 64": ["u101", [1, 2, 7, 0, 7, 1]], "2 12 14 65": ["u097", [5, 0, 7, 6, 7, 5]], "2 12 14 66": ["u097", [0, 2, 7, 4, 1, 6, 0, 3]], "2 12 14 67": ["u101", [3, 0, 3]], "2 12 14 68": ["u100", [3, 0, 3]], "2 12 14 69": ["u098", [5, 0, 7, 6, 7, 5]], "2 12 14 70": ["u099", [3, 0, 3]], "2 12 14 71": ["u098", [3, 0, 3]], "2 12 14 72": ["u097", [3, 0, 3]], "2 12 14 73": ["u096", [3, 0, 3]], "2 12 14 74": ["u096", [3, 0, 3, 7]], "2 12 14 75": ["u097", [3, 0, 3, 7]], "2 12 14 76": ["u098", [3, 0, 3, 7]], "2 12 14 77": ["u099", [3, 0, 3, 7]], "2 12 14 78": ["u098", [2, 5, 3, 6, 7, 4, 3]], "2 12 14 79": ["u100", [3, 0, 3, 7]], "2 12 14 80": ["u101", [3, 0, 3, 7]], "2 12 14 81": ["u097", [3, 4, 7, 6, 3, 5, 2]], "2 12 14 82": ["u097", [2, 5, 3, 6, 7, 4, 3]], "2 12 14 83": ["u101", [2, 1, 7, 1, 2]], "2 12 14 84": ["u100", [2, 1, 7, 1, 2]], "2 12 14 85": ["u098", [3, 4, 7, 6, 3, 5, 2]], "2 12 14 86": ["u099", [2, 1, 7, 1, 2]], "2 12 14 87": ["u098", [2, 1, 7, 1, 2]], "2 12 14 88": ["u097", [2, 1, 7, 1, 2]], "2 12 14 89": ["u096", [2, 1, 7, 1, 2]], "2 12 14 90": ["u096", [2, 5, 3, 6, 7, 4, 3]], "2 12 14 91": ["u097", [6, 3, 0, 5, 3, 5, 6]], "2 12 14 92": ["u098", [6, 3, 0, 5, 3, 5, 6]], "2 12 14 93": ["u099", [3, 4, 7, 6, 3, 5, 2]], "2 12 14 94": ["u098", [0, 7, 5, 6, 3, 7, 5]], "2 12 14 95": ["u100", [3, 4, 7, 6, 3, 5, 2]], "2 12 14 96": ["u101", [2, 5, 3, 6, 7, 4, 3]], "2 12 14 97": ["u097", [1, 2, 7, 0, 7, 1, 7]], "2 12 14 98": ["u097", [0, 7, 5, 6, 3, 7, 5]], "2 12 14 99": ["u101", [7]], "2 12 15 100": ["u110", [1, 6, 7, 5, 2, 3, 5, 7, 6]], "2 12 15 101": ["u109", [0, 5, 2, 3, 1, 7, 4, 6]], "2 12 15 102": ["u111", [6, 3, 0, 5, 3, 5, 6]], "2 12 15 103": ["u110", [0, 5, 2, 3, 1, 7, 4, 6]], "2 12 15 104": ["u110", [6, 7, 5, 2, 3, 5, 7, 6]], "2 12 15 105": ["u111", [0, 5, 2, 3, 1, 7, 4, 6]], "2 12 15 107": ["u102", [3, 0, 3]], "2 12 15 108": ["u103", [3, 0, 3]], "2 12 15 109": ["u104", [3, 0, 3]], "2 12 15 110": ["u105", [3, 0, 3]], "2 12 15 111": ["u105", [1, 6, 0, 6]], "2 12 15 112": ["u104", [1, 3, 0, 3]], "2 12 15 113": ["u104", [1, 6, 0, 6]], "2 12 15 114": ["u105", [1, 3, 0, 3]], "2 12 15 115": ["u105", [6, 0, 6]], "2 12 15 116": ["u104", [6, 0, 6]], "2 12 15 117": ["u103", [6, 0, 6]], "2 12 15 118": ["u102", [6, 0, 6]], "2 12 15 16": ["u060", [1, 2, 7, 0]], "2 12 15 17": ["u032", [4, 3, 7, 4, 3, 6]], "2 12 15 18": ["u032", [1, 6, 7, 5, 6, 3]], "2 12 15 19": ["u060", [1, 2, 7, 0, 1]], "2 12 15 21": ["u016", [1, 2, 7, 0, 7, 1]], "2 12 15 22": ["u087", [0, 6, 7, 5, 3, 7]], "2 12 15 23": ["u087", [1, 7, 4, 6, 1, 3]], "2 12 15 24": ["u016", [1, 2, 7, 0, 7]], "2 12 15 25": ["u016", [7, 1, 2, 7, 0, 7]], "2 12 15 26": ["u087", [2, 3, 5, 3, 7, 0]], "2 12 15 27": ["u087", [4, 6, 3, 1, 2, 6]], "2 12 15 28": ["u016", [0, 7, 5, 6, 3, 7, 5]], "2 12 15 30": ["u102", []], "2 12 15 31": ["u103", []], "2 12 15 32": ["u104", []], "2 12 15 33": ["u105", []], "2 12 15 34": ["u105", [1, 4, 3, 5, 3, 4]], "2 12 15 35": ["u104", [1]], "2 12 15 36": ["u104", [0, 3, 7, 3, 0, 7, 1]], "2 12 15 37": ["u105", [1]], "2 12 15 38": ["u105", [4, 3, 5, 3, 4]], "2 12 15 39": ["u104", [0, 3, 7, 3, 0, 7]], "2 12 15 40": ["u103", [0, 3, 7, 3, 0, 7]], "2 12 15 41": ["u102", [2, 1, 7, 1, 2]], "2 12 15 42": ["u106", []], "2 12 15 43": ["u107", []], "2 12 15 44": ["u107", [4, 3, 5, 3, 4]], "2 12 15 45": ["u106", [4, 3, 5, 3, 4]], "2 12 15 46": ["u106", [1, 4, 3, 5, 3, 4]], "2 12 15 47": ["u108", []], "2 12 15 48": ["u108", [4, 3, 5, 3, 4]], "2 12 15 49": ["u106", [1]], "2 12 15 50": ["u109", []], "2 12 15 51": ["u110", []], "2 12 15 52": ["u110", [4, 3, 5, 3, 4]], "2 12 15 53": ["u109", [1]], "2 12 15 54": ["u111", []], "2 12 15 55": ["u110", [1]], "2 12 15 56": ["u110", [1, 4, 3, 5, 3, 4]], "2 12 15 57": ["u111", [1]], "2 12 15 58": ["u111", [1, 3, 0, 3]], "2 12 15 59": ["u110", [0, 7, 0, 1, 3, 7, 3]], "2 12 15 60": ["u110", [1, 3, 0, 3]], "2 12 15 61": ["u111", [3, 0, 3]], "2 12 15 62": ["u109", [1, 3, 0, 3]], "2 12 15 63": ["u110", [0, 1, 3, 7, 3, 1, 7, 0]], "2 12 15 64": ["u110", [3, 0, 3]], "2 12 15 65": ["u109", [3, 0, 3]], "2 12 15 66": ["u106", [1, 3, 0, 3]], "2 12 15 67": ["u108", [0, 7, 0, 1, 3, 7, 3]], "2 12 15 68": ["u108", [3, 0, 3]], "2 12 15 69": ["u106", [0, 7, 0, 1, 3, 7, 3]], "2 12 15 70": ["u106", [0, 1, 3, 7, 3, 1, 7, 0]], "2 12 15 71": ["u107", [0, 7, 0, 1, 3, 7, 3]], "2 12 15 72": ["u107", [3, 0, 3]], "2 12 15 73": ["u106", [3, 0, 3]], "2 12 15 74": ["u111", [1, 2, 1, 7, 1, 2]], "2 12 15 75": ["u110", [0, 4, 7, 0, 1, 6, 5, 3, 5]], "2 12 15 76": ["u110", [1, 2, 1, 7, 1, 2]], "2 12 15 77": ["u111", [2, 1, 7, 1, 2]], "2 12 15 78": ["u109", [1, 2, 1, 7, 1, 2]], "2 12 15 79": ["u110", [4, 3, 1, 6, 5, 6, 3, 4]], "2 12 15 80": ["u110", [2, 1, 7, 1, 2]], "2 12 15 81": ["u109", [2, 1, 7, 1, 2]], "2 12 15 82": ["u106", [1, 2, 1, 7, 1, 2]], "2 12 15 83": ["u108", [4, 3, 1, 6, 5, 6, 3, 4]], "2 12 15 84": ["u108", [2, 1, 7, 1, 2]], "2 12 15 85": ["u106", [0, 4, 7, 0, 1, 6, 5, 3, 5]], "2 12 15 86": ["u106", [4, 3, 1, 6, 5, 6, 3, 4]], "2 12 15 87": ["u107", [4, 3, 1, 6, 5, 6, 3, 4]], "2 12 15 88": ["u107", [2, 1, 7, 1, 2]], "2 12 15 89": ["u106", [2, 1, 7, 1, 2]], "2 12 15 90": ["u106", [6, 3, 0, 5, 3, 5, 6]], "2 12 15 91": ["u107", [6, 3, 0, 5, 3, 5, 6]], "2 12 15 92": ["u107", [6, 7, 5, 2, 3, 5, 7, 6]], "2 12 15 93": ["u106", [1, 6, 7, 5, 2, 3, 5, 7, 6]], "2 12 15 94": ["u106", [6, 7, 5, 2, 3, 5, 7, 6]], "2 12 15 95": ["u108", [6, 3, 0, 5, 3, 5, 6]], "2 12 15 96": ["u108", [6, 7, 5, 2, 3, 5, 7, 6]], "2 12 15 97": ["u106", [0, 5, 2, 3, 1, 7, 4, 6]], "2 12 15 98": ["u109", [6, 3, 0, 5, 3, 5, 6]], "2 12 15 99": ["u110", [6, 3, 0, 5, 3, 5, 6]], "2 12 16 24": ["u016", [7, 1, 2, 7, 0]], "2 12 16 30": ["u102", [7]], "2 12 16 31": ["u103", [7]], "2 12 16 32": ["u104", [7]], "2 12 16 42": ["u111", [0, 5, 2, 3, 1, 7, 4, 6, 7]], "2 12 16 43": ["u110", [0, 3, 6, 5, 7, 6, 1, 2]], "2 12 16 47": ["u110", [1, 0, 3, 6, 5, 7, 6, 1, 2]], "2 12 17 24": ["u088", [2, 4, 3, 5, 3]], "2 12 17 30": ["u093", [4, 3, 5, 3, 4]], "2 12 17 31": ["u094", [4, 3, 5, 3, 4]], "2 12 17 32": ["u095", [4, 3, 5, 3, 4]], "2 12 17 42": ["u099", [4, 3, 5, 3, 4]], "2 12 17 43": ["u098", [4, 3, 5, 3, 4]], "2 12 17 47": ["u101", [4, 3, 5, 3, 4]], "2 12 18 24": ["u016", [1, 6, 7, 5, 6, 3]], "2 12 18 30": ["u021", [1, 6, 7, 5, 6]], "2 12 18 31": ["u036", [1, 6, 7, 5, 6]], "2 12 18 32": ["u048", [0, 1, 6, 7, 5, 6]], "2 12 18 42": ["u051", [1, 2, 3, 7, 1, 3, 1, 6]], "2 12 18 43": ["u050", [1, 6, 5, 7, 5, 6]], "2 12 18 47": ["u040", [5, 3, 0, 6, 0, 5, 2, 3]], "2 12 19 24": ["u061", [0, 2, 1, 7, 0]], "2 12 19 31": ["u065", [1, 2, 7, 0, 1]], "2 12 19 32": ["u064", [1, 2, 7, 0, 7, 1]], "2 12 19 42": ["u066", [0, 2, 7, 4, 1, 6, 0, 3]], "2 12 19 43": ["u067", [0, 5, 6, 3, 1, 7, 5]], "2 12 19 47": ["u067", [0, 5, 6, 3, 7, 5]], "2 12 21 24": ["u016", [5, 6, 3, 1, 7, 5]], "2 12 21 30": ["u021", [5, 6, 3, 1, 7, 5]], "2 12 21 31": ["u021", [1, 2, 7, 0, 7, 1]], "2 12 21 32": ["u020", [1, 2, 7, 0, 7, 1]], "2 12 21 42": ["u024", [1, 3, 0, 6, 5, 0, 3]], "2 12 21 43": ["u025", [5, 6, 3, 1, 7, 5]], "2 12 21 47": ["u026", [5, 0, 7, 6, 7, 5]], "2 12 22 24": ["u088", [3, 6, 5, 3]], "2 12 22 30": ["u092", [6, 7, 0, 5]], "2 12 22 31": ["u091", [1, 0, 6, 7, 5]], "2 12 22 32": ["u090", [1, 7, 0, 5, 2, 1]], "2 12 22 42": ["u066", [0, 2, 5, 7, 1, 6, 7, 4]], "2 12 22 43": ["u067", [1, 3, 6, 5, 0, 3, 0]], "2 12 22 47": ["u083", [4, 3, 5, 6, 0, 3, 1]], "2 12 23 24": ["u016", [1, 4, 1, 6, 3, 7]], "2 12 23 30": ["u104", [2, 7, 0, 7, 1]], "2 12 23 31": ["u105", [0, 1, 5, 7, 6, 7, 5]], "2 12 23 32": ["u105", [1, 2, 7, 0, 7, 1]], "2 12 23 42": ["u111", [0, 1, 5, 7, 6, 7, 5]], "2 12 23 43": ["u109", [1, 2, 7, 0, 7, 1]], "2 12 23 47": ["u108", [5, 0, 7, 6, 7, 5]], "2 12 24 100": ["u116", [0, 1, 6, 7, 5, 6, 3]], "2 12 24 101": ["u116", [0, 1, 2, 7, 0, 7]], "2 12 24 102": ["u115", [4, 1, 3, 5, 7, 6]], "2 12 24 103": ["u116", [4, 1, 3, 5, 7, 6]], "2 12 24 104": ["u116", [6, 0, 6]], "2 12 24 105": ["u115", [6, 0, 6]], "2 12 24 107": ["u112", [3, 0, 3]], "2 12 24 108": ["u112", [3, 5, 2, 6, 5, 3]], "2 12 24 109": ["u112", [2, 3, 0, 6, 5, 6, 3]], "2 12 24 110": ["u112", [1, 4, 1, 3, 7, 6]], "2 12 24 111": ["u112", [0, 1, 6, 7, 5, 6, 3]], "2 12 24 112": ["u112", [5, 3, 6, 7, 3, 7, 5]], "2 12 24 113": ["u112", [1, 2, 3, 6, 7, 6, 1]], "2 12 24 114": ["u112", [0, 5, 6, 7, 3, 5, 2]], "2 12 24 115": ["u112", [1, 4, 1, 7, 6, 7]], "2 12 24 116": ["u112", [0, 1, 2, 3, 6, 7, 6]], "2 12 24 117": ["u112", [1, 6, 0, 1, 0, 1, 6]], "2 12 24 118": ["u112", [6, 0, 6]], "2 12 24 25": ["u061", [0, 1, 2, 7, 0]], "2 12 24 26": ["u016", [4, 1, 3, 5, 6, 3]], "2 12 24 27": ["u088", [1, 5, 3, 6, 5, 3]], "2 12 24 28": ["u016", [2, 7, 4, 1, 6, 3]], "2 12 24 30": ["u112", []], "2 12 24 31": ["u112", [1, 2, 1, 0, 1, 2]], "2 12 24 32": ["u112", [0, 1, 2, 7, 0, 7]], "2 12 24 33": ["u112", [3, 6, 0, 5, 3, 1, 4]], "2 12 24 34": ["u112", [2, 7, 0, 7, 1, 0]], "2 12 24 35": ["u112", [1, 2, 7, 0, 7, 1]], "2 12 24 36": ["u112", [5, 0, 7, 6, 7, 5]], "2 12 24 37": ["u112", [0, 2, 7, 1, 7, 0]], "2 12 24 38": ["u112", [0, 1, 4, 1, 6, 3, 7]], "2 12 24 39": ["u112", [3, 7, 4, 3, 7, 5, 2]], "2 12 24 40": ["u112", [0, 4, 1, 2, 6, 7, 3]], "2 12 24 41": ["u112", [0, 3, 7, 3, 0, 7]], "2 12 24 42": ["u113", []], "2 12 24 43": ["u113", [0, 1, 6, 7, 5, 6, 3]], "2 12 24 44": ["u113", [4, 1, 3, 5, 7, 6]], "2 12 24 45": ["u113", [4, 3, 5, 3, 4]], "2 12 24 46": ["u113", [0, 7, 4, 1, 2, 6, 3]], "2 12 24 47": ["u114", []], "2 12 24 48": ["u114", [4, 3, 5, 3, 4]], "2 12 24 49": ["u113", [1, 2, 1, 0, 1, 2]], "2 12 24 50": ["u113", [2, 1, 3, 4, 6, 5, 7]], "2 12 24 51": ["u114", [3, 6, 5, 7, 6, 1, 0]], "2 12 24 52": ["u114", [0, 7, 1, 2, 7, 0]], "2 12 24 53": ["u113", [0, 1, 2, 7, 0, 7]], "2 12 24 54": ["u113", [0, 5, 7, 4, 2, 3, 5, 7]], "2 12 24 55": ["u113", [0, 2, 7, 1, 7, 0]], "2 12 24 56": ["u113", [2, 7, 0, 7, 1, 0]], "2 12 24 57": ["u113", [5, 0, 7, 6, 7, 5]], "2 12 24 58": ["u113", [1, 2, 7, 0, 7, 1]], "2 12 24 59": ["u113", [6, 7, 5, 3, 1, 4]], "2 12 24 60": ["u113", [1, 4, 1, 3, 7, 6]], "2 12 24 61": ["u113", [0, 5, 6, 3, 1, 7, 5]], "2 12 24 62": ["u113", [3, 7, 4, 3, 7, 5, 2]], "2 12 24 63": ["u114", [2, 1, 7, 1, 2, 7]], "2 12 24 64": ["u114", [1, 5, 7, 1, 3, 6, 5]], "2 12 24 65": ["u113", [1, 2, 1, 0, 7, 1, 2, 7]], "2 12 24 66": ["u113", [0, 4, 1, 2, 6, 7, 3]], "2 12 24 67": ["u114", [0, 2, 7, 1, 7, 0]], "2 12 24 68": ["u114", [3, 0, 3]], "2 12 24 69": ["u113", [0, 7, 1, 2, 7, 0]], "2 12 24 70": ["u113", [2, 6, 7, 5, 6, 3, 1]], "2 12 24 71": ["u113", [7, 1, 6, 7, 1, 2, 5]], "2 12 24 72": ["u113", [0, 1, 6, 7, 5, 6, 0, 3]], "2 12 24 73": ["u113", [3, 0, 3]], "2 12 24 74": ["u115", []], "2 12 24 75": ["u116", []], "2 12 24 76": ["u116", [4, 3, 5, 3, 4]], "2 12 24 77": ["u115", [4, 3, 5, 3, 4]], "2 12 24 78": ["u116", [0, 1, 2, 3, 6, 7, 6]], "2 12 24 79": ["u116", [1, 2, 1, 0, 1, 2]], "2 12 24 80": ["u116", [3, 5, 2, 6, 5, 3]], "2 12 24 81": ["u116", [5, 0, 7, 6, 7, 5]], "2 12 24 82": ["u116", [0, 2, 7, 4, 1, 0, 7, 6]], "2 12 24 83": ["u116", [0, 2, 7, 1, 7, 0]], "2 12 24 84": ["u116", [2, 7, 0, 7, 1, 0]], "2 12 24 85": ["u116", [0, 7, 1, 2, 7, 0]], "2 12 24 86": ["u115", [1, 4, 1, 3, 7, 6]], "2 12 24 87": ["u116", [1, 4, 1, 3, 7, 6]], "2 12 24 88": ["u116", [6, 7, 5, 3, 1, 4]], "2 12 24 89": ["u115", [0, 2, 7, 1, 7, 0]], "2 12 24 90": ["u115", [2, 1, 7, 1, 2, 7]], "2 12 24 91": ["u116", [2, 1, 7, 1, 2, 7]], "2 12 24 92": ["u116", [1, 4, 1, 7, 6, 7]], "2 12 24 93": ["u115", [0, 7, 1, 2, 7, 0]], "2 12 24 94": ["u116", [2, 3, 6, 5, 0, 7, 6]], "2 12 24 95": ["u116", [0, 5, 6, 7, 3, 5, 2]], "2 12 24 96": ["u116", [3, 6, 5, 0, 2, 7, 6]], "2 12 24 97": ["u116", [0, 2, 7, 4, 1, 6, 3]], "2 12 24 98": ["u116", [1, 2, 7, 0, 7, 1]], "2 12 24 99": ["u116", [0, 3, 4, 7, 3, 0, 5, 7]], "2 12 25 30": ["u112", [7]], "2 12 25 31": ["u112", [1, 2, 1, 0, 1, 2, 7]], "2 12 25 32": ["u112", [0, 1, 2, 7, 0]], "2 12 25 42": ["u115", [6, 0, 6, 7]], "2 12 25 43": ["u116", [6, 0, 6, 7]], "2 12 25 47": ["u116", [0, 1, 0, 6, 7, 4, 2, 4]], "2 12 26 30": ["u104", [0, 1, 6, 5, 7, 5, 6]], "2 12 26 31": ["u105", [0, 1, 6, 5, 7, 5, 6]], "2 12 26 32": ["u105", [0, 5, 6, 3, 1, 7, 5]], "2 12 26 42": ["u106", [0, 2, 7, 4, 1, 6, 0, 3]], "2 12 26 43": ["u106", [0, 1, 6, 5, 7, 5, 6]], "2 12 26 47": ["u110", [0, 5, 7, 4, 2, 3, 5, 7]], "2 12 27 30": ["u092", [1, 5, 3, 6, 5, 0]], "2 12 27 31": ["u091", [1, 0, 5, 6, 7, 5]], "2 12 27 32": ["u090", [6, 1, 7, 0, 5, 2]], "2 12 27 42": ["u084", [7, 5, 3, 6, 5, 7]], "2 12 27 43": ["u082", [0, 4, 7, 6, 1, 2, 7]], "2 12 27 47": ["u076", [0, 5, 6, 7, 5, 0, 3, 0]], "2 12 28 30": ["u021", [2, 7, 4, 1, 6, 3]], "2 12 28 31": ["u021", [7, 1, 2, 7, 0, 7, 1]], "2 12 28 32": ["u020", [3, 4, 3, 7, 5, 2, 1]], "2 12 28 42": ["u022", [0, 2, 7, 4, 1, 6, 0, 3]], "2 12 28 43": ["u027", [2, 7, 4, 1, 6, 3]], "2 12 28 47": ["u027", [2, 6, 7, 5, 6, 0, 3, 1]], "2 12 30 100": ["u121", [7]], "2 12 30 101": ["u120", [7]], "2 12 30 103": ["u119", [4, 3, 5, 3, 4, 7]], "2 12 30 104": ["u119", [7]], "2 12 30 107": ["u017", [1, 4, 1, 3, 7, 6, 3]], "2 12 30 108": ["u077", [2, 4, 3, 5, 7]], "2 12 30 109": ["u102", [4, 1, 0, 7, 6, 0, 3]], "2 12 30 110": ["u112", [1, 4, 1, 3, 7, 6, 3]], "2 12 30 111": ["u118", [0, 1, 6, 7, 5, 6]], "2 12 30 114": ["u118", [2, 5, 7, 3, 0, 4]], "2 12 30 115": ["u112", [3, 6, 7, 5, 3, 1, 4]], "2 12 30 116": ["u102", [4, 1, 3, 7, 6, 3]], "2 12 30 117": ["u077", [2, 4, 3, 5]], "2 12 30 118": ["u017", [1, 4, 1, 7, 6, 0, 3]], "2 12 30 31": ["u045", [0, 4, 1, 3, 7, 6, 3]], "2 12 30 32": ["u093", [4, 1, 3, 5, 7, 6, 3]], "2 12 30 33": ["u104", [0, 4, 3, 7, 6, 1, 6]], "2 12 30 34": ["u117", []], "2 12 30 35": ["u118", []], "2 12 30 36": ["u118", [7]], "2 12 30 37": ["u117", [4, 3, 5, 3, 4]], "2 12 30 38": ["u104", [1, 0, 1, 6, 7, 5, 6]], "2 12 30 39": ["u093", [1, 4, 1, 3, 7, 6, 3]], "2 12 30 40": ["u045", [7, 0, 4, 1, 7, 6, 3]], "2 12 30 43": ["u119", []], "2 12 30 44": ["u119", [4, 3, 5, 3, 4]], "2 12 30 46": ["u120", []], "2 12 30 47": ["u121", []], "2 12 30 48": ["u121", [4, 3, 5, 3, 4]], "2 12 30 49": ["u120", [4, 3, 5, 3, 4]], "2 12 30 50": ["u120", [5, 2, 3, 5, 7, 6, 1, 6]], "2 12 30 51": ["u121", [1, 2, 7, 4, 1, 3, 1, 2, 5]], "2 12 30 52": ["u121", [6, 7, 5, 3, 5, 7, 6, 7]], "2 12 30 53": ["u120", [4, 1, 3, 5, 7, 6, 3]], "2 12 30 55": ["u119", [1, 2, 7, 4, 1, 3, 1, 2, 5]], "2 12 30 56": ["u119", [6, 7, 5, 3, 5, 7, 6, 7]], "2 12 30 58": ["u119", [3, 6, 7, 5, 3, 1, 4]], "2 12 30 59": ["u122", []], "2 12 30 60": ["u122", [4, 3, 5, 3, 4]], "2 12 30 61": ["u119", [1, 4, 1, 3, 7, 6, 3]], "2 12 30 62": ["u121", [4, 1, 3, 5, 7, 6, 3]], "2 12 30 63": ["u123", []], "2 12 30 64": ["u123", [4, 3, 5, 3, 4]], "2 12 30 65": ["u121", [5, 2, 3, 5, 7, 6, 1, 6]], "2 12 30 66": ["u121", [0, 7, 6, 0, 5, 3, 1, 4]], "2 12 30 67": ["u123", [1, 4, 1, 3, 7, 6, 3]], "2 12 30 68": ["u123", [3, 6, 7, 5, 3, 1, 4]], "2 12 30 69": ["u121", [0, 1, 4, 1, 7, 6, 0, 3]], "2 12 30 70": ["u119", [0, 4, 1, 3, 5, 6, 7, 0]], "2 12 30 71": ["u122", [5, 2, 3, 5, 7, 6, 1, 6]], "2 12 30 72": ["u122", [4, 1, 3, 5, 7, 6, 3]], "2 12 30 73": ["u119", [2, 4, 7, 1, 2, 7, 1, 3, 5]], "2 12 30 74": ["u119", [5, 2, 3, 5, 7, 6, 1, 6]], "2 12 30 75": ["u122", [6, 7, 5, 3, 5, 7, 6]], "2 12 30 76": ["u122", [1, 6, 7, 5, 2, 3, 5, 7, 6]], "2 12 30 77": ["u119", [4, 1, 3, 5, 7, 6, 3]], "2 12 30 78": ["u121", [1, 4, 1, 3, 7, 6, 3]], "2 12 30 79": ["u123", [6, 7, 5, 3, 5, 7, 6]], "2 12 30 80": ["u123", [0, 1, 4, 1, 7, 6, 0, 3]], "2 12 30 81": ["u121", [3, 6, 7, 5, 3, 1, 4]], "2 12 30 82": ["u121", [2, 4, 7, 1, 2, 7, 1, 3, 5]], "2 12 30 83": ["u123", [4, 3, 5, 3, 4, 7]], "2 12 30 84": ["u123", [7]], "2 12 30 85": ["u121", [0, 4, 1, 3, 5, 6, 7, 0]], "2 12 30 86": ["u119", [0, 1, 4, 1, 7, 6, 0, 3]], "2 12 30 87": ["u122", [4, 3, 5, 3, 4, 7]], "2 12 30 88": ["u122", [7]], "2 12 30 89": ["u119", [0, 7, 6, 0, 5, 3, 1, 4]], "2 12 30 91": ["u119", [6, 7, 5, 3, 5, 7, 6]], "2 12 30 92": ["u119", [1, 6, 7, 5, 2, 3, 5, 7, 6]], "2 12 30 94": ["u120", [6, 7, 5, 3, 5, 7, 6]], "2 12 30 95": ["u121", [6, 7, 5, 3, 5, 7, 6]], "2 12 30 96": ["u121", [1, 6, 7, 5, 2, 3, 5, 7, 6]], "2 12 30 97": ["u120", [7, 1, 7, 5, 2, 3, 5]], "2 12 30 98": ["u120", [4, 3, 5, 3, 4, 7]], "2 12 30 99": ["u121", [4, 3, 5, 3, 4, 7]], "2 12 31 100": ["u128", [7]], "2 12 31 101": ["u121", [0, 7, 3, 7, 1, 6, 1, 2]], "2 12 31 102": ["u119", [0, 5, 3, 4, 2, 7, 1]], "2 12 31 103": ["u127", [4, 3, 5, 3, 4, 7]], "2 12 31 104": ["u127", [7]], "2 12 31 105": ["u119", [1, 6, 0, 3, 4, 7, 1, 7]], "2 12 31 107": ["u077", [7, 4, 3, 6, 7, 1, 0]], "2 12 31 108": ["u033", [4, 3, 7, 4, 6, 3]], "2 12 31 109": ["u093", [0, 4, 1, 0, 7, 6, 0, 3]], "2 12 31 110": ["u105", [3, 0]], "2 12 31 111": ["u133", []], "2 12 31 112": ["u118", [1, 7, 6, 5, 0, 6]], "2 12 31 113": ["u118", [1, 6, 5, 0, 6]], "2 12 31 114": ["u133", [7]], "2 12 31 115": ["u105", [3, 0, 7]], "2 12 31 116": ["u093", [0, 4, 1, 3, 7, 6, 3]], "2 12 31 117": ["u033", [3, 7, 4, 6, 3, 7, 4]], "2 12 31 118": ["u077", [0, 1, 2, 7, 4, 3, 1]], "2 12 31 32": ["u124", []], "2 12 31 33": ["u095", [0, 4, 3, 7, 6, 1, 6]], "2 12 31 34": ["u125", []], "2 12 31 35": ["u117", [0, 4, 3, 7, 5, 2]], "2 12 31 36": ["u117", [0, 2, 6, 5, 6, 3]], "2 12 31 37": ["u125", [4, 3, 5, 3, 4]], "2 12 31 38": ["u095", [1, 6, 7, 0, 5, 2, 6]], "2 12 31 39": ["u126", []], "2 12 31 40": ["u071", [4, 2, 7, 3, 0, 4]], "2 12 31 41": ["u045", [0, 6, 7, 1, 2, 5, 7, 3]], "2 12 31 42": ["u119", [1, 6, 0, 3, 4, 7, 1]], "2 12 31 43": ["u127", []], "2 12 31 44": ["u127", [4, 3, 5, 3, 4]], "2 12 31 45": ["u119", [0, 5, 2, 3, 7, 1, 7, 5]], "2 12 31 46": ["u121", [0, 3, 1, 4, 6, 1, 7, 6]], "2 12 31 47": ["u128", []], "2 12 31 48": ["u128", [4, 3, 5, 3, 4]], "2 12 31 49": ["u121", [0, 7, 5, 2, 3, 1]], "2 12 31 50": ["u129", []], "2 12 31 51": ["u130", []], "2 12 31 52": ["u130", [4, 3, 5, 3, 4]], "2 12 31 53": ["u129", [4, 3, 5, 3, 4]], "2 12 31 54": ["u131", []], "2 12 31 55": ["u132", []], "2 12 31 56": ["u132", [4, 3, 5, 3, 4]], "2 12 31 57": ["u131", [4, 3, 5, 3, 4]], "2 12 31 58": ["u119", [6, 0, 3, 4, 7, 1, 7]], "2 12 31 59": ["u127", [2, 1, 7, 1, 2, 7]], "2 12 31 60": ["u127", [1, 5, 6, 3, 4, 7, 1]], "2 12 31 61": ["u119", [0, 2, 3, 5, 3, 7, 3, 7]], "2 12 31 62": ["u121", [0, 4, 1, 3, 5, 7, 6, 3, 5]], "2 12 31 63": ["u128", [2, 1, 7, 1, 2, 7]], "2 12 31 64": ["u128", [4, 3, 1, 6, 1, 7]], "2 12 31 65": ["u121", [4, 3, 1, 6, 1, 0, 7]], "2 12 31 66": ["u129", [2, 1, 7, 1, 2, 7]], "2 12 31 67": ["u130", [2, 1, 7, 1, 2, 7]], "2 12 31 68": ["u130", [0, 5, 0, 7, 6, 1, 3, 6, 5]], "2 12 31 69": ["u129", [0, 5, 0, 7, 6, 1, 3, 6, 5]], "2 12 31 70": ["u131", [2, 1, 7, 1, 2, 7]], "2 12 31 71": ["u132", [2, 1, 7, 1, 2, 7]], "2 12 31 72": ["u132", [0, 5, 0, 7, 6, 1, 3, 6, 5]], "2 12 31 73": ["u131", [0, 5, 0, 7, 6, 1, 3, 6, 5]], "2 12 31 74": ["u131", [1, 3, 1, 6, 1, 7, 4, 3]], "2 12 31 75": ["u132", [4, 3, 1, 6, 5, 6, 3, 4]], "2 12 31 76": ["u132", [2, 1, 7, 1, 2]], "2 12 31 77": ["u131", [2, 1, 7, 1, 2]], "2 12 31 78": ["u129", [4, 3, 1, 6, 5, 6, 3, 4]], "2 12 31 79": ["u130", [4, 3, 1, 6, 5, 6, 3, 4]], "2 12 31 80": ["u130", [2, 1, 7, 1, 2]], "2 12 31 81": ["u129", [2, 1, 7, 1, 2]], "2 12 31 82": ["u121", [4, 3, 1, 6, 1, 0]], "2 12 31 83": ["u128", [4, 3, 1, 6, 1]], "2 12 31 84": ["u128", [2, 1, 7, 1, 2]], "2 12 31 85": ["u121", [2, 3, 5, 6, 3, 5, 0, 6]], "2 12 31 86": ["u119", [0, 2, 3, 5, 3, 7, 3]], "2 12 31 87": ["u127", [4, 3, 6, 7, 1, 7, 5]], "2 12 31 88": ["u127", [2, 1, 7, 1, 2]], "2 12 31 89": ["u119", [6, 0, 3, 4, 7, 1]], "2 12 31 90": ["u131", [4, 3, 5, 3, 4, 7]], "2 12 31 91": ["u132", [4, 3, 5, 3, 4, 7]], "2 12 31 92": ["u132", [7]], "2 12 31 93": ["u131", [7]], "2 12 31 94": ["u129", [2, 6, 7, 1, 3, 4]], "2 12 31 95": ["u130", [4, 3, 5, 3, 4, 7]], "2 12 31 96": ["u130", [7]], "2 12 31 97": ["u129", [7]], "2 12 31 98": ["u121", [0, 7, 5, 2, 3, 1, 7]], "2 12 31 99": ["u128", [4, 3, 5, 3, 4, 7]], "2 12 32 100": ["u137", [7]], "2 12 32 101": ["u136", [7]], "2 12 32 102": ["u134", [4, 3, 5, 3, 4, 7]], "2 12 32 103": ["u135", [4, 3, 5, 3, 4, 7]], "2 12 32 104": ["u135", [7]], "2 12 32 105": ["u134", [7]], "2 12 32 107": ["u102", [3, 0, 3, 4, 1, 6]], "2 12 32 108": ["u093", [0, 3, 0, 3, 4, 1, 6]], "2 12 32 109": ["u020", [3, 5, 6, 3, 1, 7, 5]], "2 12 32 110": ["u090", [3, 4, 7, 0]], "2 12 32 111": ["u105", [0, 4, 3, 1, 6, 7, 5, 2]], "2 12 32 112": ["u112", [2, 6, 3, 5, 6, 3]], "2 12 32 113": ["u112", [2, 6, 5, 6, 3]], "2 12 32 114": ["u105", [0, 4, 3, 7, 5, 2, 1]], "2 12 32 115": ["u090", [1, 3, 0, 4]], "2 12 32 116": ["u020", [4, 3, 7, 5, 2, 1]], "2 12 32 117": ["u093", [0, 4, 1, 6, 7, 0]], "2 12 32 118": ["u102", [4, 1, 6, 7, 0]], "2 12 32 33": ["u048", [0, 4, 3, 7, 5, 3, 1]], "2 12 32 34": ["u095", [6, 5, 6]], "2 12 32 35": ["u104", [6, 5, 6]], "2 12 32 36": ["u104", [6, 5, 6, 7]], "2 12 32 37": ["u095", [1, 3, 1, 4, 6, 5, 3]], "2 12 32 38": ["u048", [0, 1, 6, 7, 6]], "2 12 32 39": ["u064", [0, 4, 3, 7, 5, 2, 1]], "2 12 32 40": ["u126", [0, 3, 7, 3, 0]], "2 12 32 41": ["u093", [1, 4, 1, 7, 6, 3]], "2 12 32 42": ["u134", []], "2 12 32 43": ["u135", []], "2 12 32 44": ["u135", [4, 3, 5, 3, 4]], "2 12 32 45": ["u134", [4, 3, 5, 3, 4]], "2 12 32 46": ["u136", []], "2 12 32 47": ["u137", []], "2 12 32 48": ["u137", [4, 3, 5, 3, 4]], "2 12 32 49": ["u136", [4, 3, 5, 3, 4]], "2 12 32 50": ["u138", []], "2 12 32 51": ["u139", []], "2 12 32 52": ["u139", [4, 3, 5, 3, 4]], "2 12 32 53": ["u138", [4, 3, 5, 3, 4]], "2 12 32 54": ["u138", [1, 3, 1, 4, 6, 5, 3]], "2 12 32 55": ["u139", [1, 3, 1, 4, 6, 5, 3]], "2 12 32 56": ["u139", [6, 3, 5, 3, 6]], "2 12 32 57": ["u138", [6, 3, 5, 3, 6]], "2 12 32 58": ["u134", [7, 6, 5, 6]], "2 12 32 59": ["u135", [7, 6, 5, 6]], "2 12 32 60": ["u135", [1, 3, 1, 4, 6, 5, 3, 7]], "2 12 32 61": ["u134", [1, 3, 1, 4, 6, 5, 3, 7]], "2 12 32 62": ["u136", [7, 6, 5, 6]], "2 12 32 63": ["u137", [7, 6, 5, 6]], "2 12 32 64": ["u137", [1, 3, 1, 4, 6, 5, 3, 7]], "2 12 32 65": ["u136", [1, 3, 1, 4, 6, 5, 3, 7]], "2 12 32 66": ["u138", [2, 1, 7, 1, 2, 7]], "2 12 32 67": ["u139", [2, 1, 7, 1, 2, 7]], "2 12 32 68": ["u139", [0, 5, 0, 7, 6, 1, 3, 6, 5]], "2 12 32 69": ["u138", [0, 5, 0, 7, 6, 1, 3, 6, 5]], "2 12 32 70": ["u138", [7, 1, 3, 1, 4, 6, 5, 3]], "2 12 32 71": ["u139", [7, 1, 3, 1, 4, 6, 5, 3]], "2 12 32 72": ["u139", [6, 5, 6, 7]], "2 12 32 73": ["u138", [6, 5, 6, 7]], "2 12 32 74": ["u138", [6, 5, 6]], "2 12 32 75": ["u139", [6, 5, 6]], "2 12 32 76": ["u139", [3, 4, 3, 5, 6, 3, 1, 6]], "2 12 32 77": ["u138", [3, 4, 3, 5, 6, 3, 1, 6]], "2 12 32 78": ["u138", [4, 3, 1, 6, 5, 6, 3, 4]], "2 12 32 79": ["u139", [4, 3, 1, 6, 5, 6, 3, 4]], "2 12 32 80": ["u139", [2, 1, 7, 1, 2]], "2 12 32 81": ["u138", [2, 1, 7, 1, 2]], "2 12 32 82": ["u136", [1, 3, 1, 4, 6, 5, 3]], "2 12 32 83": ["u137", [1, 3, 1, 4, 6, 5, 3]], "2 12 32 84": ["u137", [2, 1, 7, 1, 2]], "2 12 32 85": ["u136", [2, 1, 7, 1, 2]], "2 12 32 86": ["u134", [1, 3, 1, 4, 6, 5, 3]], "2 12 32 87": ["u135", [1, 3, 1, 4, 6, 5, 3]], "2 12 32 88": ["u135", [2, 1, 7, 1, 2]], "2 12 32 89": ["u134", [2, 1, 7, 1, 2]], "2 12 32 90": ["u138", [7, 6, 5, 6]], "2 12 32 91": ["u139", [7, 6, 5, 6]], "2 12 32 92": ["u139", [1, 3, 1, 4, 6, 5, 3, 7]], "2 12 32 93": ["u138", [1, 3, 1, 4, 6, 5, 3, 7]], "2 12 32 94": ["u138", [4, 3, 5, 3, 4, 7]], "2 12 32 95": ["u139", [4, 3, 5, 3, 4, 7]], "2 12 32 96": ["u139", [7]], "2 12 32 97": ["u138", [7]], "2 12 32 98": ["u136", [4, 3, 5, 3, 4, 7]], "2 12 32 99": ["u137", [4, 3, 5, 3, 4, 7]], "2 12 33 42": ["u134", [2, 7, 5, 0, 3, 7, 4, 2]], "2 12 33 43": ["u138", [1, 2, 7, 0, 7, 1]], "2 12 33 47": ["u139", [0, 5, 7, 4, 2, 3, 5, 7]], "2 12 34 42": ["u119", [4, 6, 5, 2, 7, 4, 1]], "2 12 34 43": ["u129", [1, 0, 6, 7, 3, 5]], "2 12 34 47": ["u130", [0, 5, 7, 4, 2, 3, 5, 7]], "2 12 35 42": ["u119", [6, 5, 7, 6, 1, 0]], "2 12 35 43": ["u120", [0, 5, 6, 3, 1, 7, 5]], "2 12 35 47": ["u123", [6, 5, 7, 6, 1, 0]], "2 12 36 43": ["u121", [6, 5, 7, 6, 1, 0, 7]], "2 12 36 47": ["u121", [5, 0, 7, 6, 7, 5]], "2 12 37 42": ["u131", [2, 6, 7, 5, 6, 0, 3, 1]], "2 12 37 43": ["u121", [6, 5, 7, 6, 1, 2, 3, 6]], "2 12 37 47": ["u128", [5, 0, 7, 6, 7, 5]], "2 12 38 42": ["u138", [5, 0, 6, 7, 3, 5, 3]], "2 12 38 43": ["u136", [0, 5, 6, 3, 1, 7, 5]], "2 12 38 47": ["u137", [5, 0, 7, 6, 7, 5]], "2 12 39 42": ["u138", [6, 5, 7, 3, 7, 6]], "2 12 39 43": ["u139", [6, 5, 7, 3, 7, 6]], "2 12 39 47": ["u139", [1, 2, 7, 4, 1, 3, 1, 2, 5]], "2 12 40 42": ["u131", [6, 7, 3, 7, 1, 6, 7, 5]], "2 12 40 43": ["u132", [1, 2, 7, 4, 1, 3, 1, 2, 5]], "2 12 40 47": ["u130", [1, 2, 7, 4, 1, 3, 1, 2, 5]], "2 12 41 42": ["u119", [3, 1, 6, 7, 5, 2, 3, 1, 4]], "2 12 41 43": ["u122", [2, 1, 7, 1, 2, 7]], "2 12 41 47": ["u123", [2, 1, 7, 1, 2, 7]], "2 12 42 100": ["u143", [0, 2, 5, 7, 1, 6, 7, 4]], "2 12 42 101": ["u143", [0, 2, 7, 4, 1, 6, 0, 3]], "2 12 42 103": ["u143", [6, 0, 6]], "2 12 42 104": ["u138", [1, 7, 3, 6, 5, 7]], "2 12 42 105": ["u134", [0, 2, 5, 7, 1, 6, 7, 4]], "2 12 42 107": ["u119", [1, 3, 0, 1, 6, 5, 6, 3, 1]], "2 12 42 108": ["u131", [7, 6, 0, 1, 6, 7, 5]], "2 12 42 109": ["u138", [6, 5, 0, 6, 7]], "2 12 42 110": ["u138", [2, 5, 3, 4, 7, 4, 2]], "2 12 42 111": ["u131", [2, 3, 4, 6, 5, 6, 7, 5]], "2 12 42 113": ["u119", [6, 5, 0, 6, 3, 1, 0]], "2 12 42 114": ["u119", [0, 6, 5, 2, 7, 3, 7, 5]], "2 12 42 115": ["u134", [2, 7, 5, 3, 7, 4, 2]], "2 12 42 116": ["u134", [6, 0, 6]], "2 12 42 117": ["u119", [1, 2, 7, 4, 3, 1]], "2 12 42 43": ["u022", [2, 3, 6, 3]], "2 12 42 44": ["u096", [0, 3, 5, 6, 3, 7, 1, 7]], "2 12 42 45": ["u111", [7, 6, 0, 1, 6, 7, 5]], "2 12 42 46": ["u106", [0, 7, 4, 6, 0, 1, 2, 3]], "2 12 42 47": ["u099", [7, 6, 1, 6, 7, 1]], "2 12 42 48": ["u051", [0, 1, 2, 3, 6, 3]], "2 12 42 49": ["u066", [0, 3, 5, 6, 3, 7, 1, 7]], "2 12 42 50": ["u140", []], "2 12 42 51": ["u141", []], "2 12 42 52": ["u099", [0, 1, 2, 6, 7, 5, 3]], "2 12 42 53": ["u111", [1, 0, 2, 1, 7, 1, 6, 7]], "2 12 42 54": ["u111", [0, 7, 6, 7, 5, 0]], "2 12 42 55": ["u113", [2, 3, 6, 3]], "2 12 42 56": ["u142", []], "2 12 42 58": ["u142", [2, 3, 6, 3]], "2 12 42 59": ["u140", [0, 2, 5, 7, 1, 6, 7, 4]], "2 12 42 60": ["u106", [0, 2, 5, 7, 1, 6, 7, 4]], "2 12 42 61": ["u115", [0, 2, 6, 7]], "2 12 42 62": ["u096", [2, 3, 6, 3]], "2 12 42 63": ["u106", [2, 3, 6, 3]], "2 12 42 64": ["u140", [2, 3, 6, 3]], "2 12 42 65": ["u142", [2, 7, 5, 6, 7, 4, 3]], "2 12 42 66": ["u022", [0, 3, 5, 6, 3, 7, 1, 7]], "2 12 42 67": ["u084", [1, 7, 3, 1, 5, 7, 3]], "2 12 42 68": ["u106", [0, 3, 5, 6, 3, 7, 1, 7]], "2 12 42 69": ["u113", [0, 3, 5, 6, 3, 7, 1, 7]], "2 12 42 70": ["u115", [7, 3, 5, 6, 3, 1]], "2 12 42 71": ["u111", [0, 1, 3, 1, 6, 1, 3, 4]], "2 12 42 72": ["u066", [2, 3, 6, 3]], "2 12 42 73": ["u024", [1, 2, 6, 7, 5, 3]], "2 12 42 74": ["u134", [2, 3, 5, 2, 6, 5, 6, 3]], "2 12 42 75": ["u138", [0, 4, 7, 6, 7, 1, 2, 7]], "2 12 42 76": ["u143", []], "2 12 42 78": ["u143", [0, 3, 5, 6, 3, 7, 1, 7]], "2 12 42 79": ["u143", [0, 7, 4, 6, 0, 1, 2, 3]], "2 12 42 80": ["u138", [0, 6, 5, 2, 7]], "2 12 42 81": ["u134", [2, 3, 6, 3]], "2 12 42 82": ["u138", [0, 3, 7, 4, 3, 0]], "2 12 42 83": ["u138", [7, 0, 7, 4, 3]], "2 12 42 84": ["u131", [0, 1, 3, 1, 6, 1, 3, 4]], "2 12 42 85": ["u119", [0, 1, 3, 7, 4, 3, 6, 1]], "2 12 42 87": ["u119", [2, 5, 7, 6, 1, 2, 7, 1, 7]], "2 12 42 88": ["u134", [0, 3, 5, 6, 3, 7, 1, 7]], "2 12 42 89": ["u134", [0, 7, 4, 6, 0, 1, 2, 3]], "2 12 42 90": ["u134", [0, 2, 7, 3, 4, 3, 1, 6]], "2 12 42 91": ["u134", [3, 4, 6, 7, 1, 4, 6]], "2 12 42 92": ["u119", [1, 3, 1, 6, 5, 2, 3, 0, 5]], "2 12 42 94": ["u119", [0, 1, 7, 0, 4, 2, 7, 5]], "2 12 42 95": ["u131", [0, 2, 3, 5, 7, 6, 1, 0]], "2 12 42 96": ["u138", [3, 4, 6, 7, 4, 6]], "2 12 42 97": ["u138", [0, 2, 7, 3, 4, 3, 6]], "2 12 42 98": ["u134", [2, 3, 0, 7, 6]], "2 12 42 99": ["u138", [0, 6, 5, 2, 3, 0, 3, 7]], "2 12 43 100": ["u151", [6, 0, 6]], "2 12 43 101": ["u150", [6, 0, 6]], "2 12 43 102": ["u143", [0, 5, 6, 7, 4, 6, 3, 5]], "2 12 43 103": ["u143", [1, 0, 3, 7, 0, 4, 7, 5]], "2 12 43 104": ["u136", [1, 3, 0, 6, 5, 7, 3]], "2 12 43 105": ["u138", [1, 7, 3, 6, 5]], "2 12 43 107": ["u122", [0, 3, 6, 7, 5, 3, 5, 6]], "2 12 43 108": ["u132", [1, 0, 3, 6, 5, 7, 6, 1, 2]], "2 12 43 109": ["u139", [6, 5, 0, 6, 7]], "2 12 43 110": ["u136", [1, 3, 6, 5, 2, 7, 6]], "2 12 43 111": ["u121", [0, 6, 5, 7, 6, 1, 2, 3, 6]], "2 12 43 112": ["u121", [0, 6, 5, 7, 6, 1, 0, 7]], "2 12 43 113": ["u120", [1, 3, 6, 5, 0, 3, 0]], "2 12 43 114": ["u129", [1, 7, 3, 6, 5]], "2 12 43 115": ["u138", [1, 2, 3, 6, 7, 6, 1]], "2 12 43 116": ["u135", [6, 0, 6]], "2 12 43 117": ["u127", [6, 0, 6]], "2 12 43 118": ["u119", [6, 0, 6]], "2 12 43 44": ["u144", []], "2 12 43 45": ["u096", [1, 7, 6, 1, 6, 7]], "2 12 43 46": ["u098", [3, 0, 5, 6, 0, 3, 5]], "2 12 43 47": ["u145", []], "2 12 43 48": ["u075", [4, 7, 6, 1, 7, 5, 2]], "2 12 43 49": ["u049", [2, 3, 6, 3, 5]], "2 12 43 50": ["u146", []], "2 12 43 51": ["u147", []], "2 12 43 52": ["u110", [0, 2, 4, 3, 5, 6, 3, 1]], "2 12 43 53": ["u098", [0, 1, 2, 6, 7, 5, 3, 0]], "2 12 43 54": ["u113", [0, 1, 6, 7, 5, 2, 3, 0]], "2 12 43 55": ["u109", [1, 7, 3, 6, 5]], "2 12 43 56": ["u140", [1, 7, 3, 6, 5]], "2 12 43 57": ["u142", [7, 6, 5, 3, 5, 2, 7]], "2 12 43 58": ["u140", [1, 2, 7, 0, 7, 1]], "2 12 43 59": ["u148", []], "2 12 43 60": ["u116", [0, 2, 6, 7, 0]], "2 12 43 61": ["u106", [1, 0, 7, 5, 2, 1, 3, 0]], "2 12 43 62": ["u107", [0, 2, 3, 6, 3]], "2 12 43 63": ["u097", [0, 2, 3, 6, 3]], "2 12 43 64": ["u146", [0, 2, 3, 6, 3]], "2 12 43 65": ["u149", []], "2 12 43 66": ["u085", [1, 0, 4, 3, 0, 3]], "2 12 43 67": ["u037", [4, 7, 6, 1, 7, 5, 2]], "2 12 43 68": ["u098", [3, 1, 4, 6, 7, 1, 0]], "2 12 43 69": ["u107", [7, 3, 7, 5, 6, 3, 1]], "2 12 43 70": ["u111", [0, 3, 5, 6, 0, 3]], "2 12 43 71": ["u096", [3, 1, 4, 6, 7, 5, 0]], "2 12 43 72": ["u023", [1, 2, 6, 7, 5, 3, 0]], "2 12 43 73": ["u066", [2, 6, 7, 3]], "2 12 43 74": ["u138", [1, 0, 6, 7, 3, 5]], "2 12 43 75": ["u136", [1, 3, 6, 5, 0, 3, 0]], "2 12 43 76": ["u143", [0, 2, 4, 7, 6, 5, 7, 4]], "2 12 43 77": ["u143", [1, 0, 7, 0, 4, 7, 4, 1]], "2 12 43 78": ["u150", []], "2 12 43 79": ["u151", []], "2 12 43 80": ["u139", [0, 6, 5, 2, 7, 0]], "2 12 43 81": ["u135", [0, 2, 3, 6, 3]], "2 12 43 82": ["u135", [5, 0, 7, 6, 7, 1, 7]], "2 12 43 83": ["u152", []], "2 12 43 84": ["u132", [2, 1, 6, 7, 5, 2, 3, 5]], "2 12 43 85": ["u127", [0, 2, 3, 6, 3]], "2 12 43 86": ["u119", [0, 2, 3, 0, 7, 6]], "2 12 43 87": ["u122", [0, 2, 1, 7, 1, 3, 6]], "2 12 43 88": ["u153", []], "2 12 43 89": ["u134", [0, 5, 6, 3, 7, 1, 7]], "2 12 43 90": ["u134", [3, 7, 4, 6, 1, 6, 3]], "2 12 43 91": ["u153", [6, 0, 6]], "2 12 43 92": ["u122", [6, 5, 3, 5, 2, 7, 3]], "2 12 43 93": ["u119", [0, 2, 3, 6, 3]], "2 12 43 94": ["u127", [0, 2, 3, 0, 7, 6]], "2 12 43 95": ["u132", [5, 0, 2, 3, 5, 6, 3, 1]], "2 12 43 96": ["u152", [6, 0, 6]], "2 12 43 97": ["u135", [5, 6, 3, 7, 1, 7]], "2 12 43 98": ["u135", [0, 2, 3, 0, 7, 6]], "2 12 43 99": ["u139", [6, 5, 0, 2, 3, 7, 3]], "2 12 44 47": ["u075", [4, 7, 1, 7, 5, 2, 1]], "2 12 45 47": ["u051", [2, 4, 6, 3, 1, 7, 0]], "2 12 46 47": ["u037", [1, 0, 4, 7, 1, 7]], "2 12 47 100": ["u157", [6, 0, 6]], "2 12 47 101": ["u152", [0, 3, 0, 5, 6, 3, 1, 7]], "2 12 47 102": ["u138", [1, 3, 5, 6, 7, 1, 2, 7]], "2 12 47 103": ["u139", [1, 3, 5, 6, 7, 1, 2, 7, 0]], "2 12 47 104": ["u151", [2, 6, 3, 0]], "2 12 47 105": ["u143", [0, 3, 5, 2, 1, 3, 7, 4]], "2 12 47 107": ["u123", [0, 3, 6, 7, 5, 3, 1, 4]], "2 12 47 108": ["u130", [1, 0, 3, 6, 5, 7, 6, 1, 2]], "2 12 47 109": ["u139", [1, 0, 3, 6, 5, 7, 6, 1, 2]], "2 12 47 110": ["u137", [5, 3, 6, 7, 3, 7, 5]], "2 12 47 111": ["u128", [5, 3, 6, 7, 3, 7, 5]], "2 12 47 112": ["u121", [5, 3, 6, 7, 3, 7, 5]], "2 12 47 113": ["u123", [6, 5, 0, 6, 3, 1, 0]], "2 12 47 114": ["u130", [0, 5, 3, 4, 7, 6, 0, 5, 7]], "2 12 47 115": ["u139", [0, 5, 3, 4, 7, 6, 0, 5, 7]], "2 12 47 116": ["u137", [6, 0, 6]], "2 12 47 117": ["u128", [6, 0, 6]], "2 12 47 118": ["u121", [6, 0, 6]], "2 12 47 48": ["u154", []], "2 12 47 49": ["u097", [0, 3, 1, 2, 5, 7, 0]], "2 12 47 50": ["u098", [3, 0, 5, 3, 0, 1]], "2 12 47 51": ["u154", [5, 0, 7, 6, 7, 5]], "2 12 47 52": ["u155", []], "2 12 47 53": ["u146", [2, 6, 7, 1, 3, 4, 7]], "2 12 47 54": ["u141", [5, 7, 6, 1, 0, 6, 7]], "2 12 47 55": ["u147", [1, 3, 6, 5, 2, 3, 0, 5]], "2 12 47 56": ["u110", [2, 1, 7, 6, 1, 0, 7, 5]], "2 12 47 57": ["u099", [0, 4, 7, 4, 6, 1, 3]], "2 12 47 58": ["u106", [2, 5, 3, 5, 7, 6, 0]], "2 12 47 59": ["u097", [2, 3, 7, 5, 3, 5, 6]], "2 12 47 60": ["u146", [1, 7, 1, 6, 7, 0, 5, 0]], "2 12 47 61": ["u140", [1, 2, 7, 0, 1, 7, 5]], "2 12 47 62": ["u147", [0, 5, 7, 4, 2, 3, 5, 7]], "2 12 47 63": ["u156", []], "2 12 47 64": ["u101", [2, 4, 6, 3, 1, 7, 0]], "2 12 47 65": ["u145", [5, 0, 7, 6, 7, 1]], "2 12 47 66": ["u110", [3, 1, 6, 1, 3, 4]], "2 12 47 67": ["u101", [1, 2, 3, 0, 5, 7, 6]], "2 12 47 68": ["u039", [1, 4, 2, 3, 6, 5, 3]], "2 12 47 69": ["u075", [1, 2, 7, 6, 1, 7, 0, 5]], "2 12 47 70": ["u084", [2, 7, 6, 0, 1, 7]], "2 12 47 71": ["u037", [3, 4, 7, 5, 6, 7, 5, 2]], "2 12 47 72": ["u098", [2, 3, 1, 6, 7, 1, 3]], "2 12 47 73": ["u106", [3, 1, 2, 5, 7, 0]], "2 12 47 74": ["u143", [2, 7, 1, 4, 3, 6, 7, 4]], "2 12 47 75": ["u151", [0, 2, 7, 6, 0]], "2 12 47 76": ["u139", [2, 6, 0, 1, 0, 7, 6, 1, 7]], "2 12 47 77": ["u138", [0, 1, 3, 5, 6, 7, 1, 2, 7]], "2 12 47 78": ["u152", [7, 0, 5, 6, 3, 1, 7, 5]], "2 12 47 79": ["u157", []], "2 12 47 80": ["u158", []], "2 12 47 81": ["u151", [3, 5, 0, 7, 6, 7, 1]], "2 12 47 82": ["u132", [2, 5, 7, 6, 1, 0]], "2 12 47 83": ["u159", []], "2 12 47 84": ["u157", [5, 3, 6, 7, 3, 7, 5]], "2 12 47 85": ["u139", [7, 0, 1, 6, 1, 3, 1, 5]], "2 12 47 86": ["u138", [0, 7, 1, 6, 1, 3, 1, 5]], "2 12 47 87": ["u152", [4, 3, 1, 6, 5, 6, 3, 4]], "2 12 47 88": ["u132", [2, 7, 5, 3, 1, 4, 7, 3]], "2 12 47 89": ["u131", [1, 2, 5, 7, 0, 1]], "2 12 47 90": ["u131", [0, 2, 5, 7, 6, 1, 0]], "2 12 47 91": ["u132", [0, 2, 1, 4, 3, 7, 3, 1]], "2 12 47 92": ["u152", [1, 3, 1, 6, 5, 2, 3, 0, 5]], "2 12 47 93": ["u138", [7, 1, 6, 1, 3, 1, 5]], "2 12 47 94": ["u139", [1, 6, 1, 3, 1, 6, 5, 6]], "2 12 47 95": ["u157", [5, 0, 7, 6, 7, 5]], "2 12 47 96": ["u159", [6, 0, 6]], "2 12 47 97": ["u132", [1, 3, 6, 1, 3, 4]], "2 12 47 98": ["u151", [0, 3, 1, 2, 5, 7, 0, 7]], "2 12 47 99": ["u158", [6, 0, 6]], "2 13 14 100": ["u154", [1, 4, 7, 6, 1, 0, 6]], "2 13 14 101": ["u144", [7, 1, 6, 1, 6]], "2 13 14 102": ["u154", [1, 7, 6, 1, 6]], "2 13 14 103": ["u154", [1, 7, 6, 1, 2, 3, 6, 7]], "2 13 14 104": ["u154", [7, 5, 2, 1, 3, 0, 7]], "2 13 14 105": ["u144", [1, 7, 1, 6, 1, 6]], "2 13 14 107": ["u124", [4, 3, 6, 7, 1, 5]], "2 13 14 108": ["u160", [3, 0, 3]], "2 13 14 109": ["u124", [3, 0, 1, 7, 0, 1]], "2 13 14 110": ["u160", [2, 3, 7, 0, 3]], "2 13 14 111": ["u160", [1, 2, 1, 3, 0, 3]], "2 13 14 112": ["u124", [3, 7, 0, 1, 0]], "2 13 14 113": ["u124", [3, 7, 0, 7, 1, 0]], "2 13 14 114": ["u160", [1, 2, 1, 6, 0, 6]], "2 13 14 115": ["u160", [2, 3, 0, 7, 3]], "2 13 14 116": ["u124", [4, 3, 7, 1, 5]], "2 13 14 117": ["u160", [6, 0, 6]], "2 13 14 118": ["u124", [3, 4, 7, 3, 4, 6]], "2 13 14 15": ["u028", [0, 2, 7, 0, 7]], "2 13 14 16": ["u028", [0, 2, 7, 0]], "2 13 14 17": ["u068", [0, 2, 7, 0]], "2 13 14 18": ["u068", [1, 2, 1]], "2 13 14 19": ["u028", [2, 1, 0, 7, 0]], "2 13 14 21": ["u080", [6, 3, 1, 2, 6, 1]], "2 13 14 22": ["u028", [1, 2, 1]], "2 13 14 23": ["u028", [0, 7, 0, 7, 1, 2]], "2 13 14 24": ["u080", [1, 2, 3, 0, 5, 3]], "2 13 14 25": ["u080", [0, 3, 1, 2, 5, 6]], "2 13 14 26": ["u028", [0, 7, 0, 1, 2]], "2 13 14 27": ["u028", [2, 7, 1, 2]], "2 13 14 28": ["u080", [2, 4, 7, 1, 6, 0]], "2 13 14 30": ["u124", [3, 0, 4, 6, 7, 3, 4]], "2 13 14 31": ["u160", []], "2 13 14 32": ["u124", [0, 4, 3, 7, 1, 5]], "2 13 14 33": ["u160", [2, 3, 7, 3]], "2 13 14 34": ["u160", [1, 2, 1]], "2 13 14 35": ["u124", [6, 7, 6, 1, 0]], "2 13 14 36": ["u124", [0, 3, 7, 0, 1, 0]], "2 13 14 37": ["u160", [2, 1, 0, 7, 0]], "2 13 14 38": ["u160", [0, 2, 7, 0]], "2 13 14 39": ["u124", [0, 1, 7, 0, 1, 3, 0]], "2 13 14 40": ["u160", [0, 3, 7, 3, 0]], "2 13 14 41": ["u124", [0, 3, 4, 7, 3, 4, 6]], "2 13 14 42": ["u144", [7, 6, 1, 6, 7, 1]], "2 13 14 43": ["u154", [7, 5, 2, 1, 3, 0]], "2 13 14 44": ["u154", [1, 7, 6, 1, 2, 3, 6]], "2 13 14 45": ["u154", [1, 7, 6, 1, 6, 7]], "2 13 14 46": ["u144", [7, 1, 6, 1, 6, 7]], "2 13 14 47": ["u154", [5, 7, 5, 2, 1, 3, 0]], "2 13 14 48": ["u154", [5, 7, 6, 1, 2, 3, 6]], "2 13 14 49": ["u154", [7, 6, 1, 6, 7]], "2 13 14 50": ["u154", [4, 7, 5, 2, 1, 3, 0]], "2 13 14 51": ["u154", [2, 4, 7, 3, 7, 5, 3]], "2 13 14 52": ["u154", [2, 7, 4, 1, 6, 7, 6]], "2 13 14 53": ["u144", [2, 7, 4, 1, 3, 0]], "2 13 14 54": ["u154", [5, 7, 6, 1, 0, 6, 7]], "2 13 14 55": ["u154", [2, 7, 3, 7, 5, 3]], "2 13 14 56": ["u154", [4, 7, 6, 1, 6, 7]], "2 13 14 57": ["u144", [4, 6, 7, 5, 3, 0]], "2 13 14 58": ["u144", [2, 1, 4, 7, 1, 7, 4]], "2 13 14 59": ["u154", [4, 7, 6, 1, 0, 6, 7]], "2 13 14 60": ["u154", [7, 6, 1, 2, 3, 6]], "2 13 14 61": ["u154", [5, 7, 6, 1, 6, 7]], "2 13 14 62": ["u144", [2, 5, 7, 1, 7, 4]], "2 13 14 63": ["u154", [1, 7, 5, 2, 1, 3, 0]], "2 13 14 64": ["u154", [1, 5, 7, 6, 1, 2, 3, 6]], "2 13 14 65": ["u154", [0, 6, 5, 3, 1, 6, 0]], "2 13 14 66": ["u154", [7, 6, 1, 0, 6, 7]], "2 13 14 67": ["u154", [5, 2, 7, 3, 7, 5, 3]], "2 13 14 68": ["u154", [1, 4, 7, 6, 1, 6, 7]], "2 13 14 69": ["u144", [1, 4, 7, 6, 1, 3, 6]], "2 13 14 70": ["u154", [1, 7, 6, 1, 0, 6, 7]], "2 13 14 71": ["u154", [1, 2, 7, 3, 7, 5, 3]], "2 13 14 72": ["u154", [2, 5, 7, 1, 7, 4, 2]], "2 13 14 73": ["u144", [1, 2, 7, 4, 1, 3, 0]], "2 13 14 74": ["u144", [1, 7, 1, 6, 1, 0, 6]], "2 13 14 75": ["u154", [0, 3, 0, 4, 6, 5, 6]], "2 13 14 76": ["u154", [1, 2, 7, 0, 5, 3, 7, 5]], "2 13 14 77": ["u154", [1, 7, 6, 1, 0, 6]], "2 13 14 78": ["u144", [7, 1, 6, 1, 0, 6]], "2 13 14 79": ["u154", [1, 4, 7, 6, 1, 6]], "2 13 14 80": ["u154", [7, 5, 6, 7, 1, 6, 5]], "2 13 14 81": ["u154", [7, 6, 1, 0, 6]], "2 13 14 82": ["u154", [1, 5, 7, 6, 1, 6]], "2 13 14 83": ["u154", [2, 7, 3, 1, 7, 5, 3]], "2 13 14 84": ["u154", [3, 0, 6, 1, 7, 3, 4]], "2 13 14 85": ["u144", [3, 1, 2, 5, 6, 0]], "2 13 14 86": ["u154", [5, 7, 6, 1, 6]], "2 13 14 87": ["u154", [7, 6, 1, 2, 3, 6, 7]], "2 13 14 88": ["u154", [4, 7, 6, 1, 0, 6]], "2 13 14 89": ["u144", [4, 7, 6, 1, 2, 6]], "2 13 14 90": ["u144", [2, 5, 3, 0, 1, 7, 4]], "2 13 14 91": ["u154", [4, 7, 6, 1, 6]], "2 13 14 92": ["u154", [2, 7, 0, 5, 3, 7, 5]], "2 13 14 93": ["u154", [5, 7, 6, 1, 0, 6]], "2 13 14 94": ["u144", [2, 7, 4, 1, 3, 0, 7]], "2 13 14 95": ["u154", [4, 1, 7, 6, 1, 6]], "2 13 14 96": ["u154", [1, 7, 5, 6, 7, 1, 6, 5]], "2 13 14 97": ["u154", [1, 5, 7, 6, 1, 0, 6]], "2 13 14 98": ["u154", [7, 6, 1, 6]], "2 13 14 99": ["u154", [1, 2, 7, 3, 1, 7, 5, 3]], "2 13 15 17": ["u029", [0, 2, 7]], "2 13 15 31": ["u094", [1, 4, 3, 5, 3, 4]], "2 13 15 33": ["u094", [2, 6, 7, 5, 6, 0, 3]], "2 13 15 44": ["u097", [1, 4, 3, 5, 3, 4]], "2 13 16 17": ["u029", [0, 2]], "2 13 16 31": ["u094", [1, 4, 3, 5, 3, 4, 7]], "2 13 16 33": ["u094", [0, 1, 4, 7, 3, 4, 6]], "2 13 16 44": ["u100", [2, 5, 7, 6, 7, 5, 0]], "2 13 17 100": ["u145", [0, 7, 5, 0, 6, 7, 5, 6]], "2 13 17 101": ["u145", [1, 2, 3, 1, 4, 7, 6, 3]], "2 13 17 102": ["u145", [2, 3, 1, 4, 7, 6, 3, 1]], "2 13 17 103": ["u162", [7]], "2 13 17 104": ["u145", [1, 3, 0, 6, 1, 7, 3, 4]], "2 13 17 105": ["u145", [2, 3, 1, 4, 7, 6, 3]], "2 13 17 107": ["u126", [4, 3, 6, 7, 5]], "2 13 17 108": ["u161", [3, 0, 3]], "2 13 17 109": ["u126", [2, 1, 3, 4, 1, 6]], "2 13 17 110": ["u161", [2, 6, 0, 6]], "2 13 17 111": ["u161", [2, 1, 3, 0, 3]], "2 13 17 112": ["u126", [1, 6, 7, 6, 1, 3]], "2 13 17 113": ["u126", [3, 7, 0, 1, 7, 0]], "2 13 17 114": ["u161", [2, 1, 6, 0, 6]], "2 13 17 115": ["u161", [2, 3, 0, 3]], "2 13 17 116": ["u126", [3, 5, 6, 3, 7, 5]], "2 13 17 117": ["u161", [6, 0, 6]], "2 13 17 118": ["u126", [3, 4, 7, 3, 4, 6]], "2 13 17 18": ["u068", [0, 2, 7, 0, 1]], "2 13 17 19": ["u029", [0, 2, 1]], "2 13 17 21": ["u081", [0, 1, 3, 6, 5, 3, 0]], "2 13 17 22": ["u029", [0, 1, 2, 1]], "2 13 17 23": ["u029", [0, 7, 1, 2]], "2 13 17 24": ["u081", [1, 6, 3, 1, 2, 6]], "2 13 17 25": ["u081", [0, 3, 1, 2, 5, 3, 6]], "2 13 17 26": ["u029", [0, 1, 2]], "2 13 17 27": ["u029", [0, 2, 7, 1, 2]], "2 13 17 28": ["u081", [2, 4, 7, 1, 6, 0]], "2 13 17 30": ["u126", [0, 4, 3, 1, 6, 7, 5]], "2 13 17 31": ["u161", []], "2 13 17 32": ["u126", [1, 0, 1, 6, 5, 7, 6]], "2 13 17 33": ["u161", [0, 2, 3, 7, 3, 0]], "2 13 17 34": ["u161", [2, 1]], "2 13 17 35": ["u126", [6, 5, 7, 6, 1, 0]], "2 13 17 36": ["u126", [0, 3, 5, 7, 3, 4, 3]], "2 13 17 37": ["u161", [0, 2, 3, 7, 3, 0, 1]], "2 13 17 38": ["u161", [2]], "2 13 17 39": ["u126", [0, 2, 1, 3, 4, 1, 6]], "2 13 17 40": ["u161", [0, 3, 7, 3, 0]], "2 13 17 41": ["u126", [0, 4, 3, 6, 7, 5]], "2 13 17 42": ["u145", [2, 5, 7, 1, 6, 7, 4]], "2 13 17 43": ["u145", [0, 1, 7, 3, 7, 6, 5, 3]], "2 13 17 44": ["u162", []], "2 13 17 45": ["u145", [7, 1, 3, 6, 7, 4, 1, 3]], "2 13 17 46": ["u145", [0, 1, 0, 7, 6, 1, 3, 6]], "2 13 17 47": ["u145", [0, 5, 7, 3, 7, 6, 5, 3]], "2 13 17 48": ["u162", [7, 1, 7]], "2 13 17 49": ["u145", [0, 7, 6, 1, 3, 6, 1, 0]], "2 13 17 50": ["u145", [4, 1, 7, 6, 1, 3, 6, 1]], "2 13 17 51": ["u162", [0, 7, 5, 3, 4, 7, 6, 5]], "2 13 17 52": ["u145", [0, 7, 4, 6, 0, 1, 3]], "2 13 17 53": ["u145", [4, 1, 7, 6, 1, 3, 6]], "2 13 17 54": ["u145", [4, 7, 6, 1, 3, 6, 1]], "2 13 17 55": ["u162", [3, 0, 3, 7, 1, 2, 7]], "2 13 17 56": ["u145", [4, 2, 7, 3, 7, 5, 3]], "2 13 17 57": ["u145", [4, 7, 6, 1, 3, 6]], "2 13 17 58": ["u145", [4, 7, 6, 1, 0, 3, 6]], "2 13 17 59": ["u145", [4, 7, 6, 1, 2, 3, 6]], "2 13 17 60": ["u162", [7, 1, 2, 7]], "2 13 17 61": ["u145", [4, 7, 6, 1, 0, 3, 6, 1]], "2 13 17 62": ["u145", [0, 5, 0, 7, 6, 1, 3, 6]], "2 13 17 63": ["u145", [3, 1, 2, 5, 6, 7, 0]], "2 13 17 64": ["u162", [7, 1, 2, 7, 1]], "2 13 17 65": ["u145", [2, 5, 7, 6, 1, 2, 7, 5]], "2 13 17 66": ["u145", [2, 3, 1, 4, 6, 7, 0, 1]], "2 13 17 67": ["u162", [3, 0, 3, 7, 1, 7]], "2 13 17 68": ["u145", [1, 0, 7, 4, 6, 0, 1, 3]], "2 13 17 69": ["u145", [1, 4, 7, 6, 1, 3, 6]], "2 13 17 70": ["u145", [1, 4, 7, 6, 1, 3, 6, 1]], "2 13 17 71": ["u162", [3, 0, 3]], "2 13 17 72": ["u145", [2, 5, 7, 6, 1, 7, 4]], "2 13 17 73": ["u145", [2, 3, 1, 4, 6, 7, 0]], "2 13 17 74": ["u145", [2, 3, 1, 0, 4, 7, 6, 3]], "2 13 17 75": ["u145", [4, 7, 5, 6, 7, 5, 6]], "2 13 17 76": ["u162", [3, 0, 3, 7]], "2 13 17 77": ["u145", [2, 7, 1, 2, 7, 3, 1, 4]], "2 13 17 78": ["u145", [0, 1, 6, 3, 1, 7, 6, 3]], "2 13 17 79": ["u145", [1, 3, 1, 2, 5, 7, 6, 3]], "2 13 17 80": ["u162", [3, 0, 3, 7, 1]], "2 13 17 81": ["u145", [0, 1, 3, 1, 6, 5, 7, 3, 4]], "2 13 17 82": ["u145", [0, 4, 3, 1, 6, 5, 7, 3, 4]], "2 13 17 83": ["u162", [7, 1, 2, 7, 1, 7]], "2 13 17 84": ["u145", [2, 7, 1, 7, 3, 1, 4]], "2 13 17 85": ["u145", [1, 7, 5, 2, 1, 3, 7, 0]], "2 13 17 86": ["u145", [7, 6, 1, 2, 5, 7, 5, 6]], "2 13 17 87": ["u162", [7, 1, 2]], "2 13 17 88": ["u145", [2, 3, 4, 7, 1, 7, 3, 5]], "2 13 17 89": ["u145", [0, 4, 6, 3, 1, 7, 6, 3]], "2 13 17 90": ["u145", [4, 7, 6, 1, 3, 6, 7]], "2 13 17 91": ["u145", [4, 6, 3, 5, 3, 7, 5]], "2 13 17 92": ["u162", [3, 0, 3, 7, 1, 2]], "2 13 17 93": ["u145", [4, 7, 6, 1, 3, 6, 1, 7]], "2 13 17 94": ["u145", [0, 5, 6, 3, 1, 7, 6, 3]], "2 13 17 95": ["u145", [2, 7, 4, 1, 3, 7, 0]], "2 13 17 96": ["u162", [0, 4, 7, 1, 6, 5, 0, 3, 5]], "2 13 17 97": ["u145", [4, 7, 6, 1, 3, 6, 7, 1]], "2 13 17 98": ["u145", [0, 7, 6, 1, 3, 6, 1, 0, 7]], "2 13 17 99": ["u162", [7, 1]], "2 13 18 31": ["u074", [1, 2, 1]], "2 13 18 33": ["u073", [1, 2, 1]], "2 13 18 44": ["u076", [1, 2, 1]], "2 13 19 31": ["u036", [2, 1, 6, 7, 6]], "2 13 19 33": ["u047", [2, 1, 3, 7, 3]], "2 13 19 44": ["u040", [1, 4, 7, 6, 1, 6, 7]], "2 13 21 31": ["u092", [1, 0, 1, 6, 7, 0, 5]], "2 13 21 33": ["u089", [0, 1, 6, 7, 0, 5, 2]], "2 13 21 44": ["u082", [7, 0, 1, 3, 6, 5, 2]], "2 13 22 31": ["u036", [1, 2, 1]], "2 13 22 33": ["u035", [1, 2, 1]], "2 13 22 44": ["u038", [1, 2, 1]], "2 13 23 31": ["u095", [4, 3, 1, 6, 0, 3, 4]], "2 13 23 33": ["u094", [4, 3, 1, 6, 0, 3, 4]], "2 13 23 44": ["u097", [4, 3, 5, 2, 3, 5]], "2 13 24 31": ["u104", [4, 7, 3, 4, 6, 7]], "2 13 24 33": ["u103", [4, 7, 3, 4, 6, 7]], "2 13 24 44": ["u109", [2, 1, 3, 4, 6, 5, 7]], "2 13 25 31": ["u104", [4, 7, 3, 4, 6]], "2 13 25 33": ["u103", [4, 7, 3, 4, 6]], "2 13 25 44": ["u108", [5, 7, 3, 4, 2, 3, 7]], "2 13 26 31": ["u095", [0, 4, 7, 3, 4, 6]], "2 13 26 33": ["u094", [0, 4, 7, 3, 4, 6]], "2 13 26 44": ["u100", [2, 1, 3, 7, 3, 7]], "2 13 27 31": ["u036", [2, 7, 1, 2]], "2 13 27 33": ["u035", [2, 7, 1, 2]], "2 13 27 44": ["u040", [7, 1, 2, 7, 1]], "2 13 28 31": ["u092", [5, 0, 6, 7, 0, 5]], "2 13 28 33": ["u089", [2, 4, 7, 1, 6, 3]], "2 13 28 44": ["u076", [2, 5, 2, 7, 1, 7, 4]], "2 13 30 31": ["u046", [2, 7, 6, 7, 5, 6]], "2 13 30 33": ["u094", [0, 4, 3, 1, 6, 7, 1, 5]], "2 13 30 44": ["u129", [0, 4, 2, 3, 1, 6, 1, 7, 4]], "2 13 31 100": ["u132", [1, 7, 4, 3, 6, 5, 7, 1]], "2 13 31 101": ["u122", [7, 1, 6, 0, 5, 3, 4]], "2 13 31 102": ["u123", [1, 7, 6, 0, 5, 3, 4]], "2 13 31 103": ["u130", [7, 1, 4, 3, 6, 5, 7, 1]], "2 13 31 104": ["u132", [0, 2, 7, 6, 7, 1, 0, 6]], "2 13 31 105": ["u122", [7, 0, 5, 3, 4, 2, 7]], "2 13 31 107": ["u078", [1, 0, 5, 2, 3, 7]], "2 13 31 108": ["u034", [2, 6, 7, 6]], "2 13 31 109": ["u104", [3, 0, 1, 7, 0, 1]], "2 13 31 110": ["u094", [2, 6, 7, 5, 6]], "2 13 31 111": ["u125", [1, 3, 7, 0, 1]], "2 13 31 112": ["u117", [3, 1, 4, 6, 5, 0, 3]], "2 13 31 113": ["u117", [1, 2, 6, 7, 6, 1, 0]], "2 13 31 114": ["u125", [1, 2, 6, 7, 6, 1]], "2 13 31 115": ["u094", [2, 6, 7, 5, 6, 7]], "2 13 31 116": ["u104", [4, 3, 7, 1, 5]], "2 13 31 117": ["u034", [2, 6, 7, 6, 7]], "2 13 31 118": ["u078", [1, 0, 5, 2, 3]], "2 13 31 32": ["u095", [0, 4, 3, 7, 1, 5]], "2 13 31 33": ["u160", [2, 6, 7, 6]], "2 13 31 34": ["u163", []], "2 13 31 35": ["u125", [3, 1, 4, 6, 5, 3]], "2 13 31 36": ["u125", [3, 1, 4, 6, 5, 3, 7]], "2 13 31 37": ["u164", []], "2 13 31 38": ["u161", [2, 6, 7, 6]], "2 13 31 39": ["u095", [0, 1, 7, 0, 1, 3, 0]], "2 13 31 40": ["u072", [2, 6, 7, 6]], "2 13 31 41": ["u046", [2, 6, 7, 5, 6]], "2 13 31 42": ["u122", [7, 0, 5, 3, 4, 2]], "2 13 31 43": ["u132", [1, 7, 1, 5, 6, 3, 4]], "2 13 31 44": ["u130", [3, 1, 6, 5, 6, 7, 4, 3]], "2 13 31 45": ["u123", [1, 6, 0, 1, 2, 7, 6, 1]], "2 13 31 46": ["u122", [7, 1, 6, 0, 5, 3, 4, 7]], "2 13 31 47": ["u132", [1, 6, 0, 1, 0, 2, 7, 6, 1]], "2 13 31 48": ["u130", [7, 5, 6, 3, 4]], "2 13 31 49": ["u123", [0, 1, 2, 7, 4, 3, 1, 5]], "2 13 31 50": ["u130", [3, 4, 7, 4, 3]], "2 13 31 51": ["u165", []], "2 13 31 52": ["u159", [1, 7, 5, 2, 1]], "2 13 31 53": ["u132", [1, 3, 4, 7, 4, 3]], "2 13 31 54": ["u130", [0, 7, 1, 2, 3, 0, 4, 6]], "2 13 31 55": ["u165", [1, 7, 1, 7]], "2 13 31 56": ["u159", [1, 5, 7, 5, 2, 1, 7]], "2 13 31 57": ["u132", [3, 4, 7, 4, 3, 7, 1, 7]], "2 13 31 58": ["u122", [2, 3, 4, 7, 1, 0, 5, 3]], "2 13 31 59": ["u132", [1, 7, 5, 6, 3, 4, 7]], "2 13 31 60": ["u130", [7, 4, 3, 6, 5, 7, 1]], "2 13 31 61": ["u123", [1, 7, 1, 6, 0, 5, 3, 4]], "2 13 31 62": ["u122", [7, 6, 0, 5, 3, 4]], "2 13 31 63": ["u132", [3, 1, 2, 7, 1, 3, 4, 6]], "2 13 31 64": ["u130", [2, 3, 4, 7, 1, 5, 3]], "2 13 31 65": ["u123", [1, 7, 0, 5, 3, 4, 2, 7]], "2 13 31 66": ["u130", [2, 3, 5, 3, 6, 7, 3, 4]], "2 13 31 67": ["u165", [7, 5, 6, 3, 4]], "2 13 31 68": ["u159", [5, 7, 5, 2, 1, 7]], "2 13 31 69": ["u132", [0, 2, 1, 7, 6, 1, 0, 2, 7]], "2 13 31 70": ["u130", [3, 1, 6, 1, 7, 4, 3, 7]], "2 13 31 71": ["u165", [5, 7, 6, 1, 6, 7, 5]], "2 13 31 72": ["u159", [7, 5, 2, 1]], "2 13 31 73": ["u132", [1, 3, 1, 6, 1, 7, 4, 3, 7]], "2 13 31 74": ["u132", [1, 3, 1, 6, 1, 7, 4, 3]], "2 13 31 75": ["u159", [7, 5, 2, 1, 7]], "2 13 31 76": ["u165", [3, 1, 6, 1, 7, 4, 3]], "2 13 31 77": ["u130", [3, 1, 6, 1, 7, 4, 3]], "2 13 31 78": ["u132", [0, 2, 1, 7, 6, 1, 0, 2]], "2 13 31 79": ["u159", [5, 7, 5, 2, 1]], "2 13 31 80": ["u165", [2, 1, 7, 1, 2]], "2 13 31 81": ["u130", [6, 1, 3, 0, 5, 3, 0, 6]], "2 13 31 82": ["u123", [1, 7, 0, 5, 3, 4, 2]], "2 13 31 83": ["u130", [7, 1, 5, 6, 3, 4]], "2 13 31 84": ["u132", [7, 4, 6, 1, 6, 3, 1, 6]], "2 13 31 85": ["u122", [6, 0, 1, 2, 7, 6, 1]], "2 13 31 86": ["u123", [0, 1, 0, 7, 3, 0, 4, 3]], "2 13 31 87": ["u130", [6, 0, 1, 0, 2, 7, 6, 1]], "2 13 31 88": ["u132", [1, 7, 5, 6, 3, 4]], "2 13 31 89": ["u122", [7, 1, 0, 5, 3, 4, 2]], "2 13 31 90": ["u132", [3, 4, 7, 4, 3, 7, 1]], "2 13 31 91": ["u159", [1, 5, 7, 5, 2, 1]], "2 13 31 92": ["u165", [1, 7, 1]], "2 13 31 93": ["u130", [7, 1, 4, 7, 3, 7, 4]], "2 13 31 94": ["u132", [1, 3, 4, 7, 4, 3, 7]], "2 13 31 95": ["u159", [1, 7, 5, 2, 1, 7]], "2 13 31 96": ["u165", [7]], "2 13 31 97": ["u130", [3, 4, 7, 4, 3, 7]], "2 13 31 98": ["u123", [2, 4, 7, 6, 7, 5, 6, 0]], "2 13 31 99": ["u130", [7, 5, 6, 3, 4, 7]], "2 13 32 33": ["u047", [4, 3, 7, 5, 3, 1]], "2 13 32 44": ["u136", [0, 4, 3, 7, 1, 5]], "2 13 33 100": ["u152", [1, 4, 7, 4, 3, 1, 2, 5]], "2 13 33 101": ["u153", [1, 2, 3, 1, 4, 6, 7, 3]], "2 13 33 102": ["u157", [0, 3, 0, 5, 6, 3, 5, 7]], "2 13 33 103": ["u166", [7]], "2 13 33 104": ["u152", [2, 3, 1, 4, 3, 6, 7, 3]], "2 13 33 105": ["u153", [2, 3, 1, 4, 7, 6, 3]], "2 13 33 107": ["u103", [4, 3, 6, 7, 1, 5]], "2 13 33 108": ["u094", [5, 2, 3, 7, 1, 0, 5]], "2 13 33 109": ["u089", [3, 0, 4, 3, 0, 7, 3]], "2 13 33 110": ["u035", [3, 0]], "2 13 33 111": ["u094", [0, 4, 7, 3, 1, 4, 6]], "2 13 33 112": ["u103", [4, 7, 3, 1, 4, 6]], "2 13 33 113": ["u103", [3, 1, 4, 7, 3, 4, 6]], "2 13 33 114": ["u094", [1, 6, 5, 0, 6, 3, 1]], "2 13 33 115": ["u035", [3, 0, 7]], "2 13 33 116": ["u089", [3, 4, 3, 6, 7, 6]], "2 13 33 117": ["u094", [0, 1, 3, 4, 7, 3, 4, 6]], "2 13 33 118": ["u103", [3, 4, 7, 3, 4, 6]], "2 13 33 34": ["u160", [6, 7, 6, 1, 2]], "2 13 33 35": ["u094", [6, 7, 6, 1, 2, 7, 0]], "2 13 33 36": ["u094", [6, 3, 5, 7, 6, 1, 0]], "2 13 33 37": ["u161", [0, 3, 7, 0, 1, 2]], "2 13 33 38": ["u073", [0, 3, 0]], "2 13 33 39": ["u047", [2, 1, 6, 7, 5, 6]], "2 13 33 40": ["u161", [0, 2, 3, 7, 0]], "2 13 33 41": ["u094", [0, 3, 4, 7, 3, 4, 6]], "2 13 33 42": ["u153", [2, 3, 1, 4, 6, 7, 3]], "2 13 33 43": ["u152", [4, 7, 4, 3, 1, 2, 5]], "2 13 33 44": ["u166", []], "2 13 33 45": ["u157", [0, 3, 0, 5, 6, 3, 5]], "2 13 33 46": ["u153", [1, 4, 7, 6, 1, 7, 6]], "2 13 33 47": ["u152", [0, 1, 0, 7, 6, 1, 7, 6]], "2 13 33 48": ["u166", [1, 7, 1, 7]], "2 13 33 49": ["u157", [3, 6, 7, 1, 3, 4, 6, 1]], "2 13 33 50": ["u152", [0, 3, 4, 7, 0, 7]], "2 13 33 51": ["u157", [2, 5, 7, 1, 6, 1, 3]], "2 13 33 52": ["u157", [0, 1, 2, 1, 3, 0, 6, 5]], "2 13 33 53": ["u152", [4, 1, 7, 6, 1, 3, 6]], "2 13 33 54": ["u152", [1, 0, 3, 4, 7, 0]], "2 13 33 55": ["u157", [5, 2, 3, 4, 1, 3, 7]], "2 13 33 56": ["u157", [4, 2, 3, 1, 7, 4, 3]], "2 13 33 57": ["u152", [4, 7, 6, 1, 3, 6]], "2 13 33 58": ["u153", [4, 7, 6, 1, 7, 6]], "2 13 33 59": ["u152", [3, 7, 4, 6, 7, 1, 6, 3]], "2 13 33 60": ["u166", [7, 6, 5, 6]], "2 13 33 61": ["u157", [0, 2, 1, 3, 0, 4, 6, 1]], "2 13 33 62": ["u153", [0, 1, 3, 4, 3, 7, 0]], "2 13 33 63": ["u152", [4, 1, 7, 4, 3, 1, 2, 5]], "2 13 33 64": ["u166", [7, 1, 2, 7, 1]], "2 13 33 65": ["u157", [2, 6, 7, 5, 6, 3, 5]], "2 13 33 66": ["u152", [7, 6, 1, 3, 5, 7, 6]], "2 13 33 67": ["u157", [1, 3, 5, 2, 1, 3, 7, 1]], "2 13 33 68": ["u157", [1, 4, 2, 3, 6, 5, 3]], "2 13 33 69": ["u152", [1, 4, 7, 6, 1, 3, 6]], "2 13 33 70": ["u152", [1, 4, 7, 6, 1, 3, 5, 6]], "2 13 33 71": ["u157", [4, 7, 1, 2, 3, 1, 6]], "2 13 33 72": ["u157", [6, 7, 1, 2, 5, 3, 6, 5]], "2 13 33 73": ["u152", [0, 3, 0, 4, 6, 5, 3, 6]], "2 13 33 74": ["u152", [2, 7, 1, 7, 3, 1, 4, 2]], "2 13 33 75": ["u157", [0, 5, 7, 3, 1, 7, 0, 5]], "2 13 33 76": ["u157", [1, 3, 5, 2, 1, 3, 1]], "2 13 33 77": ["u152", [1, 7, 6, 1, 3, 5, 7, 6]], "2 13 33 78": ["u152", [1, 4, 7, 6, 1, 3, 6, 7]], "2 13 33 79": ["u157", [1, 4, 2, 3, 6, 5, 3, 7]], "2 13 33 80": ["u157", [3, 7, 4, 1, 7, 6, 5, 3]], "2 13 33 81": ["u152", [4, 7, 6, 1, 3, 5, 6]], "2 13 33 82": ["u157", [6, 7, 1, 3, 4, 6, 1]], "2 13 33 83": ["u166", [7, 1, 2, 7, 1, 7]], "2 13 33 84": ["u152", [0, 5, 0, 7, 6, 1, 7, 6]], "2 13 33 85": ["u153", [0, 4, 1, 3, 4, 7, 0]], "2 13 33 86": ["u157", [7, 0, 5, 6, 0, 3, 5]], "2 13 33 87": ["u166", [2, 7, 1, 2]], "2 13 33 88": ["u152", [4, 7, 6, 1, 7, 3, 6]], "2 13 33 89": ["u153", [4, 7, 1, 7, 6, 7, 5]], "2 13 33 90": ["u152", [4, 7, 6, 1, 3, 6, 7]], "2 13 33 91": ["u157", [4, 2, 3, 5, 7, 4, 3]], "2 13 33 92": ["u157", [5, 2, 3, 4, 1, 3]], "2 13 33 93": ["u152", [5, 0, 3, 4, 7, 0]], "2 13 33 94": ["u152", [4, 1, 7, 6, 1, 3, 6, 7]], "2 13 33 95": ["u157", [0, 6, 3, 5, 0, 3, 5]], "2 13 33 96": ["u157", [7, 4, 1, 7, 6, 5, 3]], "2 13 33 97": ["u152", [0, 3, 4, 7, 0]], "2 13 33 98": ["u157", [0, 7, 3, 1, 2, 7, 0, 5]], "2 13 33 99": ["u166", [1, 7, 1]], "2 13 34 44": ["u130", [6, 0, 1, 0, 7, 6, 1, 7]], "2 13 35 44": ["u129", [0, 5, 6, 3, 1, 7, 6, 1, 6]], "2 13 36 44": ["u130", [6, 5, 7, 6, 1, 0, 7]], "2 13 37 44": ["u165", [0, 6, 0, 1, 6, 3, 1, 7]], "2 13 38 44": ["u157", [0, 6, 5, 6, 3, 5, 0, 3]], "2 13 39 44": ["u137", [0, 3, 7, 5, 6, 3, 7, 5]], "2 13 40 44": ["u165", [6, 3, 1, 6, 1, 7, 4, 6]], "2 13 41 44": ["u130", [0, 1, 3, 6, 5, 7, 6, 1, 7, 3]], "2 13 42 44": ["u097", [0, 7, 4, 6, 0, 1, 2, 3]], "2 13 43 44": ["u154", [3, 4, 3, 7, 4, 3]], "2 13 44 100": ["u137", [1, 4, 7, 1, 4, 7, 3, 4]], "2 13 44 101": ["u136", [7, 1, 7, 0, 4, 7, 1]], "2 13 44 102": ["u157", [2, 5, 7, 6, 0, 3, 5, 2]], "2 13 44 103": ["u166", [4, 7, 1, 7, 4]], "2 13 44 104": ["u151", [7, 1, 3, 6, 1, 7, 3, 4]], "2 13 44 105": ["u151", [7, 5, 2, 1, 3, 7, 0]], "2 13 44 107": ["u130", [1, 3, 6, 5, 7, 6, 1, 7, 3]], "2 13 44 108": ["u165", [1, 7, 6, 0, 1, 6, 7, 5]], "2 13 44 109": ["u137", [3, 7, 5, 6, 3, 7, 5]], "2 13 44 110": ["u157", [4, 7, 1, 0, 2, 3, 1, 6]], "2 13 44 111": ["u165", [5, 2, 7, 1, 7, 0]], "2 13 44 112": ["u130", [0, 6, 5, 7, 6, 1, 0, 7]], "2 13 44 113": ["u129", [5, 6, 3, 1, 7, 6, 1, 6]], "2 13 44 114": ["u130", [0, 6, 0, 1, 0, 7, 6, 1, 7]], "2 13 44 115": ["u166", [3, 0, 7]], "2 13 44 116": ["u136", [4, 3, 7, 1, 5]], "2 13 44 117": ["u130", [0, 3, 1, 6, 5, 6, 7, 4, 3]], "2 13 44 118": ["u129", [4, 2, 3, 1, 6, 1, 7, 4]], "2 13 44 45": ["u040", [1, 4, 7, 1, 7]], "2 13 44 46": ["u050", [4, 7, 4, 1, 2, 7, 6]], "2 13 44 47": ["u076", [4, 7, 1, 2, 7, 5, 2]], "2 13 44 48": ["u162", [7, 1, 6, 1, 6, 7]], "2 13 44 49": ["u100", [0, 7, 4, 6, 1, 6, 3, 5]], "2 13 44 50": ["u154", [2, 1, 0, 7, 6, 7, 4]], "2 13 44 51": ["u100", [0, 4, 2, 3, 6, 5, 3]], "2 13 44 52": ["u156", [1, 2, 5, 7, 6, 7, 4]], "2 13 44 53": ["u147", [4, 1, 7, 6, 1, 3, 6]], "2 13 44 54": ["u147", [0, 3, 5, 0, 3, 4]], "2 13 44 55": ["u156", [0, 2, 6, 3, 4, 1, 3]], "2 13 44 56": ["u100", [4, 2, 7, 3, 7, 5, 3]], "2 13 44 57": ["u109", [1, 6, 1, 7, 5, 3, 7, 4]], "2 13 44 58": ["u097", [4, 7, 6, 1, 0, 3, 6]], "2 13 44 59": ["u108", [7, 4, 2, 3, 5, 7, 4]], "2 13 44 60": ["u167", []], "2 13 44 61": ["u156", [2, 5, 7, 6, 7, 1, 0]], "2 13 44 62": ["u148", [4, 3, 5, 3, 1, 4]], "2 13 44 63": ["u147", [0, 7, 1, 3, 6, 5, 2]], "2 13 44 64": ["u162", [4, 7, 1, 7, 4]], "2 13 44 65": ["u097", [4, 7, 4, 1, 2, 7, 6]], "2 13 44 66": ["u108", [7, 4, 6, 1, 6, 3, 5]], "2 13 44 67": ["u100", [0, 3, 0, 5, 7, 4, 6, 5]], "2 13 44 68": ["u040", [4, 7, 1, 7, 5, 2, 1]], "2 13 44 69": ["u082", [3, 5, 0, 6, 7, 4, 6]], "2 13 44 70": ["u076", [4, 7, 1, 7, 4]], "2 13 44 71": ["u038", [4, 7, 1, 7, 4]], "2 13 44 72": ["u097", [0, 3, 0, 5, 7, 4, 6, 1]], "2 13 44 73": ["u109", [2, 1, 3, 1, 4, 6, 7]], "2 13 44 74": ["u151", [2, 7, 1, 7, 3, 1, 4, 2]], "2 13 44 75": ["u151", [0, 3, 5, 2, 1, 3, 1, 7, 4]], "2 13 44 76": ["u166", [0, 4, 7, 1, 4, 7, 4]], "2 13 44 77": ["u157", [2, 3, 7, 1, 2, 7, 3, 5]], "2 13 44 78": ["u136", [5, 7, 4, 1, 3, 7, 1]], "2 13 44 79": ["u137", [1, 0, 4, 3, 5, 3, 7, 1]], "2 13 44 80": ["u168", []], "2 13 44 81": ["u151", [3, 7, 1, 3, 6, 1, 7, 3]], "2 13 44 82": ["u130", [0, 2, 7, 1, 3, 4, 6, 7]], "2 13 44 83": ["u165", [0, 6, 7, 0, 1, 6, 7, 4]], "2 13 44 84": ["u157", [7, 3, 6, 1, 7, 3, 4]], "2 13 44 85": ["u136", [3, 7, 3, 0, 5, 6, 3, 5]], "2 13 44 86": ["u137", [0, 3, 7, 3, 5, 6, 3, 5]], "2 13 44 87": ["u166", [5, 7, 1, 6, 1, 6]], "2 13 44 88": ["u130", [2, 5, 3, 1, 7, 6, 3, 4]], "2 13 44 89": ["u129", [6, 7, 1, 6, 7, 0, 4]], "2 13 44 90": ["u129", [4, 2, 3, 1, 6, 7, 4]], "2 13 44 91": ["u130", [4, 2, 3, 1, 6, 7, 0, 4]], "2 13 44 92": ["u166", [0, 7, 1, 4, 2, 7, 5]], "2 13 44 93": ["u137", [3, 7, 3, 5, 6, 3, 5]], "2 13 44 94": ["u136", [3, 6, 1, 3, 6, 7, 1, 7]], "2 13 44 95": ["u157", [2, 7, 4, 1, 3, 7, 0]], "2 13 44 96": ["u165", [0, 3, 1, 4, 7, 4, 2]], "2 13 44 97": ["u130", [2, 7, 1, 3, 4, 6, 7]], "2 13 44 98": ["u151", [4, 6, 1, 2, 3, 1, 7, 0]], "2 13 44 99": ["u168", [6, 0, 6]], "2 3 10 12": ["u009", [5, 7, 6, 1, 6]], "2 3 10 13": ["u010", [0, 1, 0, 7, 6, 1, 3, 6]], "2 3 10 14": ["u010", [5, 7, 1, 6, 1, 6]], "2 3 10 30": ["u008", [1, 6, 1, 6, 7]], "2 3 12 100": ["u027", [4, 3, 5, 3, 4, 7]], "2 3 12 101": ["u027", [0, 4, 3, 5, 3, 4, 7]], "2 3 12 102": ["u022", [4, 3, 5, 3, 4, 7]], "2 3 12 103": ["u022", [0, 4, 3, 5, 3, 4, 7]], "2 3 12 104": ["u023", [4, 3, 5, 3, 4, 7]], "2 3 12 105": ["u024", [1, 7, 1, 6, 1, 6]], "2 3 12 107": ["u017", [3, 0, 3]], "2 3 12 108": ["u018", [3, 0, 3]], "2 3 12 109": ["u019", [3, 0, 3]], "2 3 12 110": ["u020", [3, 0, 3]], "2 3 12 111": ["u021", [3, 0, 3]], "2 3 12 112": ["u021", [0, 3, 0, 3]], "2 3 12 113": ["u021", [0, 6, 0, 6]], "2 3 12 114": ["u021", [6, 0, 6]], "2 3 12 115": ["u020", [6, 0, 6]], "2 3 12 116": ["u019", [6, 0, 6]], "2 3 12 117": ["u018", [6, 0, 6]], "2 3 12 118": ["u017", [6, 0, 6]], "2 3 12 13": ["u011", []], "2 3 12 14": ["u012", []], "2 3 12 15": ["u012", [0]], "2 3 12 16": ["u012", [0, 4, 3, 5, 3, 4, 7]], "2 3 12 17": ["u012", [4, 3, 5, 3, 4, 7]], "2 3 12 18": ["u011", [4, 3, 5, 3, 4, 7]], "2 3 12 19": ["u013", []], "2 3 12 21": ["u014", []], "2 3 12 22": ["u015", []], "2 3 12 23": ["u016", []], "2 3 12 24": ["u016", [0]], "2 3 12 25": ["u016", [0, 2, 1, 7, 1, 2]], "2 3 12 26": ["u016", [2, 1, 7, 1, 2]], "2 3 12 27": ["u015", [2, 1, 7, 1, 2]], "2 3 12 28": ["u014", [2, 1, 7, 1, 2]], "2 3 12 30": ["u017", []], "2 3 12 31": ["u018", []], "2 3 12 32": ["u019", []], "2 3 12 33": ["u020", []], "2 3 12 34": ["u021", []], "2 3 12 35": ["u021", [0]], "2 3 12 36": ["u021", [3, 7, 3, 0, 7]], "2 3 12 37": ["u021", [0, 3, 7, 3, 0, 7]], "2 3 12 38": ["u020", [3, 7, 3, 0, 7]], "2 3 12 39": ["u019", [3, 7, 3, 0, 7]], "2 3 12 40": ["u018", [3, 7, 3, 0, 7]], "2 3 12 41": ["u017", [2, 1, 7, 1, 2]], "2 3 12 42": ["u022", []], "2 3 12 43": ["u022", [0]], "2 3 12 44": ["u023", []], "2 3 12 45": ["u024", []], "2 3 12 46": ["u025", []], "2 3 12 47": ["u026", []], "2 3 12 48": ["u027", []], "2 3 12 49": ["u027", [0]], "2 3 12 50": ["u025", [1, 0, 3, 6, 5, 7, 6, 1, 2]], "2 3 12 51": ["u026", [1, 0, 3, 6, 5, 7, 6, 1, 2]], "2 3 12 52": ["u027", [1, 0, 3, 6, 5, 7, 6, 1, 2]], "2 3 12 53": ["u027", [1, 4, 2, 7, 1, 3, 6, 0, 5]], "2 3 12 54": ["u022", [1, 0, 3, 6, 5, 7, 6, 1, 2]], "2 3 12 55": ["u022", [1, 4, 2, 7, 1, 3, 6, 0, 5]], "2 3 12 56": ["u023", [1, 0, 3, 6, 5, 7, 6, 1, 2]], "2 3 12 57": ["u024", [5, 7, 6, 1, 0, 6, 7, 1]], "2 3 12 58": ["u024", [5, 7, 6, 1, 6, 7, 1]], "2 3 12 59": ["u023", [5, 0, 7, 6, 1, 3, 6, 5]], "2 3 12 60": ["u022", [5, 0, 7, 6, 1, 3, 6, 5]], "2 3 12 61": ["u022", [0, 5, 0, 7, 6, 1, 3, 6, 5]], "2 3 12 62": ["u027", [5, 0, 7, 6, 1, 3, 6, 5]], "2 3 12 63": ["u027", [0, 5, 0, 7, 6, 1, 3, 6, 5]], "2 3 12 64": ["u026", [5, 0, 7, 6, 1, 3, 6, 5]], "2 3 12 65": ["u025", [5, 0, 7, 6, 1, 3, 6, 1]], "2 3 12 66": ["u027", [0, 3, 0, 3]], "2 3 12 67": ["u027", [3, 0, 3]], "2 3 12 68": ["u026", [3, 0, 3]], "2 3 12 69": ["u025", [3, 0, 3]], "2 3 12 70": ["u024", [3, 0, 3]], "2 3 12 71": ["u023", [3, 0, 3]], "2 3 12 72": ["u022", [0, 3, 0, 3]], "2 3 12 73": ["u022", [3, 0, 3]], "2 3 12 74": ["u024", [1, 7, 1, 6, 1, 0, 6]], "2 3 12 75": ["u023", [5, 3, 4, 6, 7, 6, 5]], "2 3 12 76": ["u022", [5, 3, 4, 6, 7, 6, 5]], "2 3 12 77": ["u022", [0, 5, 3, 4, 6, 7, 6, 5]], "2 3 12 78": ["u027", [5, 3, 4, 6, 7, 6, 5]], "2 3 12 79": ["u027", [0, 5, 3, 4, 6, 7, 6, 5]], "2 3 12 80": ["u026", [5, 3, 4, 6, 7, 6, 5]], "2 3 12 81": ["u025", [5, 3, 4, 6, 7, 6, 5]], "2 3 12 82": ["u027", [0, 2, 1, 7, 1, 2]], "2 3 12 83": ["u027", [2, 1, 7, 1, 2]], "2 3 12 84": ["u026", [2, 1, 7, 1, 2]], "2 3 12 85": ["u025", [2, 1, 7, 1, 2]], "2 3 12 86": ["u024", [2, 1, 7, 1, 2]], "2 3 12 87": ["u023", [2, 1, 7, 1, 2]], "2 3 12 88": ["u022", [0, 2, 1, 7, 1, 2]], "2 3 12 89": ["u022", [2, 1, 7, 1, 2]], "2 3 12 90": ["u022", [6, 3, 0, 5, 3, 5, 6]], "2 3 12 91": ["u022", [0, 6, 3, 0, 5, 3, 5, 6]], "2 3 12 92": ["u023", [6, 3, 0, 5, 3, 5, 6]], "2 3 12 93": ["u024", [6, 3, 0, 5, 3, 5, 6]], "2 3 12 94": ["u025", [5, 7, 1, 6, 1, 0, 6]], "2 3 12 95": ["u026", [6, 3, 0, 5, 3, 5, 6]], "2 3 12 96": ["u027", [6, 3, 0, 5, 3, 5, 6]], "2 3 12 97": ["u027", [0, 6, 3, 0, 5, 3, 5, 6]], "2 3 12 98": ["u025", [4, 3, 5, 3, 4, 7]], "2 3 12 99": ["u026", [4, 3, 5, 3, 4, 7]], "2 3 13 100": ["u037", [0, 1, 7, 1]], "2 3 13 101": ["u037", [1, 7, 1]], "2 3 13 102": ["u040", [0, 1, 7, 1]], "2 3 13 103": ["u040", [1, 7, 1]], "2 3 13 104": ["u039", [1, 7, 1]], "2 3 13 105": ["u023", [1, 7, 1, 6, 1, 6]], "2 3 13 107": ["u033", [3, 0, 3]], "2 3 13 108": ["u034", [3, 0, 3]], "2 3 13 109": ["u020", [2, 1, 3, 0, 1, 2]], "2 3 13 110": ["u035", [3, 0, 3]], "2 3 13 111": ["u036", [3, 0, 3]], "2 3 13 112": ["u036", [0, 3, 0, 3]], "2 3 13 113": ["u036", [0, 6, 0, 6]], "2 3 13 114": ["u036", [6, 0, 6]], "2 3 13 115": ["u035", [6, 0, 6]], "2 3 13 116": ["u020", [6, 5, 0, 6]], "2 3 13 117": ["u034", [6, 0, 6]], "2 3 13 118": ["u033", [6, 0, 6]], "2 3 13 14": ["u028", []], "2 3 13 15": ["u028", [0]], "2 3 13 16": ["u029", []], "2 3 13 17": ["u029", [0]], "2 3 13 18": ["u030", []], "2 3 13 19": ["u011", [1, 7, 1]], "2 3 13 21": ["u015", [2, 1, 0, 1, 2]], "2 3 13 22": ["u031", []], "2 3 13 23": ["u032", []], "2 3 13 24": ["u032", [0]], "2 3 13 25": ["u032", [0, 2, 1, 7, 1, 2]], "2 3 13 26": ["u032", [2, 1, 7, 1, 2]], "2 3 13 27": ["u031", [2, 7, 1, 2]], "2 3 13 28": ["u015", [2, 1, 0, 7, 1, 2]], "2 3 13 30": ["u033", []], "2 3 13 31": ["u034", []], "2 3 13 32": ["u020", [6, 5, 6]], "2 3 13 33": ["u035", []], "2 3 13 34": ["u036", []], "2 3 13 35": ["u036", [0]], "2 3 13 36": ["u036", [3, 7, 3, 0, 7]], "2 3 13 37": ["u036", [0, 3, 7, 3, 0, 7]], "2 3 13 38": ["u035", [3, 7, 3, 0, 7]], "2 3 13 39": ["u020", [1, 6, 5, 6, 7, 1]], "2 3 13 40": ["u034", [3, 7, 3, 0, 7]], "2 3 13 41": ["u033", [2, 1, 7, 1, 2]], "2 3 13 42": ["u037", []], "2 3 13 43": ["u037", [0]], "2 3 13 44": ["u038", []], "2 3 13 45": ["u026", [1, 0, 7, 6, 1, 3, 6, 1]], "2 3 13 46": ["u023", [7, 1, 6, 1, 6, 7]], "2 3 13 47": ["u039", []], "2 3 13 48": ["u040", []], "2 3 13 49": ["u040", [0]], "2 3 13 50": ["u026", [2, 7, 3, 4, 3, 1, 6, 1, 7]], "2 3 13 51": ["u038", [5, 7, 6, 1, 0, 6, 7, 1]], "2 3 13 52": ["u037", [1, 7, 4, 6, 7, 1, 2, 3, 5]], "2 3 13 53": ["u037", [0, 1, 7, 4, 6, 7, 1, 2, 3, 5]], "2 3 13 54": ["u040", [1, 7, 4, 6, 7, 1, 2, 3, 5]], "2 3 13 55": ["u040", [0, 1, 7, 4, 6, 7, 1, 2, 3, 5]], "2 3 13 56": ["u039", [1, 7, 4, 6, 7, 1, 2, 3, 5]], "2 3 13 57": ["u023", [5, 7, 6, 1, 0, 6, 7, 1]], "2 3 13 58": ["u023", [5, 7, 6, 1, 6, 7, 1]], "2 3 13 59": ["u039", [5, 7, 6, 1, 6, 7, 5]], "2 3 13 60": ["u040", [5, 7, 6, 1, 6, 7, 5]], "2 3 13 61": ["u040", [0, 5, 7, 6, 1, 6, 7, 5]], "2 3 13 62": ["u037", [5, 7, 6, 1, 6, 7, 5]], "2 3 13 63": ["u037", [0, 5, 7, 6, 1, 6, 7, 5]], "2 3 13 64": ["u038", [5, 7, 6, 1, 6, 7, 1]], "2 3 13 65": ["u026", [5, 0, 7, 6, 1, 3, 6, 1]], "2 3 13 66": ["u040", [0, 3, 0, 3]], "2 3 13 67": ["u040", [3, 0, 3]], "2 3 13 68": ["u039", [3, 0, 3]], "2 3 13 69": ["u023", [7, 1, 6, 1, 0, 6, 7]], "2 3 13 70": ["u026", [1, 0, 7, 6, 1, 0, 3, 6, 1]], "2 3 13 71": ["u038", [3, 0, 3]], "2 3 13 72": ["u037", [0, 3, 0, 3]], "2 3 13 73": ["u037", [3, 0, 3]], "2 3 13 74": ["u023", [1, 7, 1, 6, 1, 0, 6]], "2 3 13 75": ["u039", [1, 3, 0, 3, 7, 1]], "2 3 13 76": ["u040", [1, 3, 0, 3, 7, 1]], "2 3 13 77": ["u040", [0, 1, 3, 0, 3, 7, 1]], "2 3 13 78": ["u037", [1, 3, 0, 3, 7, 1]], "2 3 13 79": ["u037", [0, 1, 3, 0, 3, 7, 1]], "2 3 13 80": ["u038", [1, 3, 0, 3, 7, 1]], "2 3 13 81": ["u026", [1, 3, 1, 6, 5, 7, 3, 4]], "2 3 13 82": ["u040", [0, 2, 1, 7, 1, 2]], "2 3 13 83": ["u040", [2, 1, 7, 1, 2]], "2 3 13 84": ["u039", [2, 1, 7, 1, 2]], "2 3 13 85": ["u023", [5, 7, 1, 6, 1, 6]], "2 3 13 86": ["u026", [1, 3, 4, 6, 7, 0, 1, 6, 5]], "2 3 13 87": ["u038", [2, 1, 7, 1, 2]], "2 3 13 88": ["u037", [0, 2, 1, 7, 1, 2]], "2 3 13 89": ["u037", [2, 1, 7, 1, 2]], "2 3 13 90": ["u037", [6, 3, 0, 5, 3, 5, 6]], "2 3 13 91": ["u037", [0, 6, 3, 0, 5, 3, 5, 6]], "2 3 13 92": ["u038", [5, 7, 1, 6, 1, 0, 6]], "2 3 13 93": ["u026", [5, 3, 1, 6, 5, 7, 3, 4]], "2 3 13 94": ["u023", [5, 7, 1, 6, 1, 0, 6]], "2 3 13 95": ["u039", [6, 3, 0, 5, 3, 5, 6]], "2 3 13 96": ["u040", [6, 3, 0, 5, 3, 5, 6]], "2 3 13 97": ["u040", [0, 6, 3, 0, 5, 3, 5, 6]], "2 3 13 98": ["u026", [7, 6, 1, 3, 6, 1, 0, 7]], "2 3 13 99": ["u038", [1, 7, 1]], "2 3 14 100": ["u050", [1, 7, 1]], "2 3 14 101": ["u049", [1, 7, 1]], "2 3 14 102": ["u052", [1, 7, 1]], "2 3 14 103": ["u051", [1, 7, 1]], "2 3 14 104": ["u040", [0, 7, 6, 1, 3, 6, 1, 0, 7]], "2 3 14 105": ["u022", [0, 1, 7, 1, 6, 1, 6]], "2 3 14 107": ["u045", [3, 0, 3]], "2 3 14 108": ["u046", [3, 0, 3]], "2 3 14 109": ["u021", [2, 1, 3, 0, 1, 2]], "2 3 14 110": ["u036", [2, 1, 3, 0, 1, 2]], "2 3 14 111": ["u047", [3, 0, 3]], "2 3 14 112": ["u048", [3, 0, 3]], "2 3 14 113": ["u048", [6, 0, 6]], "2 3 14 114": ["u047", [6, 0, 6]], "2 3 14 115": ["u036", [6, 5, 0, 6]], "2 3 14 116": ["u021", [6, 5, 0, 6]], "2 3 14 117": ["u046", [6, 0, 6]], "2 3 14 118": ["u045", [6, 0, 6]], "2 3 14 15": ["u041", []], "2 3 14 16": ["u042", []], "2 3 14 17": ["u043", []], "2 3 14 18": ["u029", [0, 4, 3, 5, 3, 4, 7]], "2 3 14 19": ["u012", [1, 7, 1]], "2 3 14 21": ["u016", [2, 1, 0, 1, 2]], "2 3 14 22": ["u032", [2, 1, 0, 1, 2]], "2 3 14 23": ["u011", [5, 2, 3, 5, 3, 4]], "2 3 14 24": ["u044", []], "2 3 14 25": ["u044", [2, 1, 7, 1, 2]], "2 3 14 26": ["u011", [7, 0, 1, 2, 7]], "2 3 14 27": ["u032", [2, 1, 0, 7, 1, 2]], "2 3 14 28": ["u016", [2, 1, 0, 7, 1, 2]], "2 3 14 30": ["u045", []], "2 3 14 31": ["u046", []], "2 3 14 32": ["u021", [6, 5, 6]], "2 3 14 33": ["u036", [6, 5, 6]], "2 3 14 34": ["u047", []], "2 3 14 35": ["u048", []], "2 3 14 36": ["u048", [0, 3, 7, 3, 0, 7]], "2 3 14 37": ["u047", [0, 3, 7, 3, 0, 7]], "2 3 14 38": ["u036", [6, 3, 5, 0, 3, 0, 6]], "2 3 14 39": ["u021", [1, 6, 5, 6, 7, 1]], "2 3 14 40": ["u046", [0, 3, 7, 3, 0, 7]], "2 3 14 41": ["u045", [2, 1, 7, 1, 2]], "2 3 14 42": ["u049", []], "2 3 14 43": ["u050", []], "2 3 14 44": ["u037", [0, 7, 1, 6, 1, 6, 7]], "2 3 14 45": ["u027", [0, 1, 0, 7, 6, 1, 3, 6, 1]], "2 3 14 46": ["u022", [0, 7, 1, 6, 1, 6, 7]], "2 3 14 47": ["u040", [0, 1, 0, 7, 6, 1, 3, 6, 1]], "2 3 14 48": ["u051", []], "2 3 14 49": ["u052", []], "2 3 14 50": ["u027", [4, 1, 7, 6, 1, 3, 6, 1, 2]], "2 3 14 51": ["u037", [0, 5, 7, 6, 1, 0, 6, 7, 1]], "2 3 14 52": ["u050", [5, 7, 6, 1, 0, 6, 7, 1]], "2 3 14 53": ["u049", [0, 5, 7, 6, 1, 0, 6, 7, 1]], "2 3 14 54": ["u052", [2, 7, 3, 4, 3, 1, 6, 1, 7]], "2 3 14 55": ["u051", [4, 1, 7, 6, 1, 3, 6, 1, 2]], "2 3 14 56": ["u040", [4, 1, 7, 6, 1, 3, 6, 1, 2]], "2 3 14 57": ["u022", [0, 5, 7, 6, 1, 0, 6, 7, 1]], "2 3 14 58": ["u022", [0, 5, 7, 6, 1, 6, 7, 1]], "2 3 14 59": ["u040", [0, 5, 0, 7, 6, 1, 3, 6, 1]], "2 3 14 60": ["u051", [5, 7, 6, 1, 6, 7, 5]], "2 3 14 61": ["u052", [5, 7, 6, 1, 6, 7, 5]], "2 3 14 62": ["u049", [5, 7, 6, 1, 6, 7, 5]], "2 3 14 63": ["u050", [5, 7, 6, 1, 6, 7, 1]], "2 3 14 64": ["u037", [0, 5, 7, 6, 1, 6, 7, 1]], "2 3 14 65": ["u027", [0, 5, 0, 7, 6, 1, 3, 6, 1]], "2 3 14 66": ["u052", [3, 0, 3]], "2 3 14 67": ["u051", [3, 0, 3]], "2 3 14 68": ["u040", [1, 2, 3, 1, 4, 6, 7, 0, 1]], "2 3 14 69": ["u022", [0, 7, 1, 6, 1, 0, 6, 7]], "2 3 14 70": ["u027", [1, 2, 3, 1, 4, 6, 7, 0, 1]], "2 3 14 71": ["u037", [0, 7, 1, 6, 1, 0, 6, 7]], "2 3 14 72": ["u050", [3, 0, 3]], "2 3 14 73": ["u049", [3, 0, 3]], "2 3 14 74": ["u022", [0, 1, 7, 1, 6, 1, 0, 6]], "2 3 14 75": ["u040", [0, 1, 3, 1, 6, 5, 7, 3, 4]], "2 3 14 76": ["u051", [1, 3, 0, 3, 7, 1]], "2 3 14 77": ["u052", [1, 3, 0, 3, 7, 1]], "2 3 14 78": ["u049", [1, 3, 0, 3, 7, 1]], "2 3 14 79": ["u050", [1, 3, 0, 3, 7, 1]], "2 3 14 80": ["u037", [0, 1, 7, 1, 6, 1, 0, 6]], "2 3 14 81": ["u027", [0, 1, 3, 1, 6, 5, 7, 3, 4]], "2 3 14 82": ["u052", [2, 1, 7, 1, 2]], "2 3 14 83": ["u051", [2, 1, 7, 1, 2]], "2 3 14 84": ["u040", [2, 1, 6, 7, 1, 6, 7, 4, 1]], "2 3 14 85": ["u022", [0, 5, 7, 1, 6, 1, 6]], "2 3 14 86": ["u027", [2, 1, 6, 7, 1, 6, 7, 4, 1]], "2 3 14 87": ["u037", [0, 5, 7, 1, 6, 1, 6]], "2 3 14 88": ["u050", [2, 1, 7, 1, 2]], "2 3 14 89": ["u049", [2, 1, 7, 1, 2]], "2 3 14 90": ["u049", [6, 3, 0, 5, 3, 5, 6]], "2 3 14 91": ["u050", [5, 7, 1, 6, 1, 0, 6]], "2 3 14 92": ["u037", [0, 5, 7, 1, 6, 1, 0, 6]], "2 3 14 93": ["u027", [7, 5, 6, 7, 3, 7, 5, 6]], "2 3 14 94": ["u022", [0, 5, 7, 1, 6, 1, 0, 6]], "2 3 14 95": ["u040", [7, 5, 6, 7, 3, 7, 5, 6]], "2 3 14 96": ["u051", [6, 3, 0, 5, 3, 5, 6]], "2 3 14 97": ["u052", [6, 3, 0, 5, 3, 5, 6]], "2 3 14 98": ["u027", [0, 7, 6, 1, 3, 6, 1, 0, 7]], "2 3 14 99": ["u037", [0, 1, 7, 1, 6, 1, 6]], "2 3 15 30": ["u045", [0]], "2 3 16 30": ["u045", [0, 4, 3, 5, 3, 4, 7]], "2 3 17 30": ["u045", [4, 3, 5, 3, 4, 7]], "2 3 18 30": ["u033", [4, 3, 5, 3, 4, 7]], "2 3 19 30": ["u017", [1, 7, 1]], "2 3 21 30": ["u018", [2, 1, 0, 1, 2]], "2 3 22 30": ["u034", [2, 1, 0, 1, 2]], "2 3 23 30": ["u046", [2, 1, 0, 1, 2]], "2 3 24 30": ["u046", [0, 2, 1, 0, 1, 2]], "2 3 25 30": ["u046", [3, 7, 1, 5, 3, 7, 4]], "2 3 26 30": ["u046", [0, 3, 7, 1, 5, 3, 7, 4]], "2 3 27 30": ["u034", [3, 7, 1, 5, 3, 7, 4]], "2 3 28 30": ["u018", [3, 7, 1, 5, 3, 7, 4]], "2 3 30 100": ["u045", [6, 1, 6]], "2 3 30 101": ["u045", [0, 6, 1, 6]], "2 3 30 102": ["u045", [0, 6, 3, 1, 4, 7, 4, 6]], "2 3 30 103": ["u045", [6, 3, 1, 4, 7, 4, 6]], "2 3 30 104": ["u033", [6, 3, 1, 4, 7, 4, 6]], "2 3 30 105": ["u017", [1, 7, 1, 6, 1, 6]], "2 3 30 107": ["u053", [2, 1, 3, 1, 2]], "2 3 30 108": ["u054", [6, 1, 6]], "2 3 30 109": ["u017", [2, 1, 3, 1, 2]], "2 3 30 110": ["u033", [2, 1, 3, 1, 2]], "2 3 30 111": ["u045", [2, 1, 3, 1, 2]], "2 3 30 112": ["u045", [0, 2, 1, 3, 1, 2]], "2 3 30 113": ["u045", [0, 6, 0, 5, 0, 6]], "2 3 30 114": ["u045", [6, 0, 5, 0, 6]], "2 3 30 115": ["u033", [6, 0, 5, 0, 6]], "2 3 30 116": ["u017", [6, 0, 5, 0, 6]], "2 3 30 117": ["u054", [1, 6, 1, 6, 7, 1]], "2 3 30 118": ["u053", [6, 1, 6]], "2 3 30 31": ["u053", []], "2 3 30 32": ["u018", [6, 0, 5, 6]], "2 3 30 33": ["u034", [6, 0, 5, 6]], "2 3 30 34": ["u046", [6, 0, 5, 6]], "2 3 30 35": ["u046", [0, 6, 0, 5, 6]], "2 3 30 36": ["u046", [3, 1, 6, 7, 5, 2, 6]], "2 3 30 37": ["u046", [0, 3, 1, 6, 7, 5, 2, 6]], "2 3 30 38": ["u034", [3, 1, 6, 7, 5, 2, 6]], "2 3 30 39": ["u018", [1, 6, 0, 5, 6, 7, 1]], "2 3 30 40": ["u053", [2, 4, 3, 5]], "2 3 30 41": ["u054", []], "2 3 30 42": ["u045", [0, 1, 6, 1, 6, 7, 1]], "2 3 30 43": ["u045", [1, 6, 1, 6, 7, 1]], "2 3 30 44": ["u033", [1, 6, 1, 6, 7, 1]], "2 3 30 45": ["u017", [1, 6, 1, 6, 7, 1]], "2 3 30 46": ["u017", [7, 1, 6, 1, 6, 7]], "2 3 30 47": ["u033", [1, 0, 7, 6, 1, 3, 6, 1]], "2 3 30 48": ["u045", [6, 5, 7, 3, 7, 6, 5, 7]], "2 3 30 49": ["u045", [1, 0, 7, 6, 1, 3, 6, 1]], "2 3 30 50": ["u017", [3, 4, 7, 4, 3]], "2 3 30 51": ["u033", [3, 4, 7, 4, 3]], "2 3 30 52": ["u045", [3, 4, 7, 4, 3]], "2 3 30 53": ["u045", [0, 3, 4, 7, 4, 3]], "2 3 30 54": ["u045", [0, 4, 3, 1, 2, 7, 6]], "2 3 30 55": ["u045", [4, 3, 1, 2, 7, 6]], "2 3 30 56": ["u033", [4, 3, 1, 2, 7, 6]], "2 3 30 57": ["u017", [6, 0, 1, 0, 5, 6]], "2 3 30 58": ["u018", [1, 3, 0, 3, 7, 5]], "2 3 30 59": ["u034", [5, 3, 4, 6, 7, 6, 1]], "2 3 30 60": ["u046", [0, 5, 3, 4, 6, 7, 6, 1]], "2 3 30 61": ["u046", [5, 3, 4, 6, 7, 6, 1]], "2 3 30 62": ["u046", [0, 1, 5, 6, 0, 6]], "2 3 30 63": ["u046", [1, 5, 6, 0, 6]], "2 3 30 64": ["u034", [1, 5, 6, 0, 6]], "2 3 30 65": ["u018", [1, 5, 6, 0, 6]], "2 3 30 66": ["u046", [1, 6, 5, 7, 4, 6, 3, 5]], "2 3 30 67": ["u046", [0, 1, 6, 5, 7, 4, 6, 3, 5]], "2 3 30 68": ["u034", [1, 6, 5, 7, 4, 6, 3, 5]], "2 3 30 69": ["u018", [7, 1, 6, 1, 0, 6, 7]], "2 3 30 70": ["u018", [1, 6, 1, 0, 6, 7, 1]], "2 3 30 71": ["u034", [1, 6, 1, 0, 6, 7, 1]], "2 3 30 72": ["u046", [1, 6, 1, 0, 6, 7, 1]], "2 3 30 73": ["u046", [0, 1, 6, 1, 0, 6, 7, 1]], "2 3 30 74": ["u018", [1, 7, 1, 6, 1, 0, 6]], "2 3 30 75": ["u034", [1, 3, 1, 6, 5, 7, 3, 4]], "2 3 30 76": ["u046", [2, 3, 5, 0, 2, 7, 4, 3]], "2 3 30 77": ["u046", [1, 3, 1, 6, 5, 7, 3, 4]], "2 3 30 78": ["u046", [0, 6, 1, 0, 6]], "2 3 30 79": ["u046", [6, 1, 0, 6]], "2 3 30 80": ["u034", [6, 1, 0, 6]], "2 3 30 81": ["u018", [6, 1, 0, 6]], "2 3 30 82": ["u046", [1, 6, 7, 4, 6, 3, 5]], "2 3 30 83": ["u046", [0, 1, 6, 7, 4, 6, 3, 5]], "2 3 30 84": ["u034", [1, 6, 7, 4, 6, 3, 5]], "2 3 30 85": ["u018", [3, 0, 3, 5, 7, 5]], "2 3 30 86": ["u018", [5, 6, 0, 6, 7, 1]], "2 3 30 87": ["u034", [3, 0, 3, 5, 7, 5]], "2 3 30 88": ["u046", [3, 0, 3, 5, 7, 5]], "2 3 30 89": ["u046", [0, 3, 0, 3, 5, 7, 5]], "2 3 30 90": ["u045", [0, 1, 4, 7, 3, 7, 4, 1]], "2 3 30 91": ["u045", [1, 4, 7, 3, 7, 4, 1]], "2 3 30 92": ["u033", [1, 4, 7, 3, 7, 4, 1]], "2 3 30 93": ["u017", [7, 1, 4, 7, 3, 7, 4]], "2 3 30 94": ["u017", [2, 6, 7, 1, 3, 4]], "2 3 30 95": ["u033", [2, 6, 7, 1, 3, 4]], "2 3 30 96": ["u045", [2, 6, 7, 1, 3, 4]], "2 3 30 97": ["u045", [0, 2, 6, 7, 1, 3, 4]], "2 3 30 98": ["u017", [6, 1, 6]], "2 3 30 99": ["u033", [6, 1, 6]], "2 3 4 10": ["u002", [1, 7, 1]], "2 3 4 100": ["u010", [1, 7, 1]], "2 3 4 101": ["u009", [1, 7, 1]], "2 3 4 102": ["u009", [4, 3, 5, 3, 4, 7]], "2 3 4 103": ["u010", [4, 3, 5, 3, 4, 7]], "2 3 4 104": ["u010", [7]], "2 3 4 105": ["u009", [7]], "2 3 4 107": ["u008", [3, 0, 3]], "2 3 4 108": ["u008", [6, 5, 6, 7]], "2 3 4 109": ["u004", [2, 1, 3, 1, 2]], "2 3 4 110": ["u005", [2, 1, 3, 1, 2]], "2 3 4 111": ["u006", [2, 1, 3, 1, 2]], "2 3 4 112": ["u007", [2, 1, 3, 1, 2]], "2 3 4 113": ["u007", [6, 5, 0, 6]], "2 3 4 114": ["u006", [6, 5, 0, 6]], "2 3 4 115": ["u005", [6, 5, 0, 6]], "2 3 4 116": ["u004", [6, 5, 0, 6]], "2 3 4 117": ["u008", [6, 5, 6]], "2 3 4 118": ["u008", [6, 0, 6]], "2 3 4 12": ["u004", []], "2 3 4 13": ["u005", []], "2 3 4 14": ["u006", []], "2 3 4 15": ["u007", []], "2 3 4 16": ["u007", [7]], "2 3 4 17": ["u006", [4, 3, 5, 3, 4]], "2 3 4 18": ["u005", [4, 3, 5, 3, 4]], "2 3 4 19": ["u004", [1, 7, 1]], "2 3 4 21": ["u004", [2, 1, 0, 1, 2]], "2 3 4 22": ["u005", [2, 1, 0, 1, 2]], "2 3 4 23": ["u006", [2, 1, 0, 1, 2]], "2 3 4 24": ["u007", [2, 1, 0, 1, 2]], "2 3 4 25": ["u007", [4, 7, 0, 7, 4]], "2 3 4 26": ["u006", [4, 7, 0, 7, 4]], "2 3 4 27": ["u005", [4, 7, 0, 7, 4]], "2 3 4 28": ["u004", [4, 7, 0, 7, 4]], "2 3 4 30": ["u008", []], "2 3 4 31": ["u008", [6, 5, 0, 6]], "2 3 4 32": ["u004", [6, 5, 6]], "2 3 4 33": ["u005", [6, 5, 6]], "2 3 4 34": ["u006", [6, 5, 6]], "2 3 4 35": ["u007", [6, 5, 6]], "2 3 4 36": ["u007", [6, 5, 6, 7]], "2 3 4 37": ["u006", [6, 5, 7, 3, 7, 6]], "2 3 4 38": ["u005", [6, 5, 7, 3, 7, 6]], "2 3 4 39": ["u004", [1, 6, 5, 6, 7, 1]], "2 3 4 40": ["u008", [4, 7, 0, 7, 4]], "2 3 4 41": ["u008", [0, 3, 7, 3, 0]], "2 3 4 42": ["u009", []], "2 3 4 43": ["u010", []], "2 3 4 44": ["u010", [4, 3, 5, 3, 4]], "2 3 4 45": ["u009", [4, 3, 5, 3, 4]], "2 3 4 46": ["u009", [1, 7, 1, 7]], "2 3 4 47": ["u010", [1, 7, 1, 7]], "2 3 4 48": ["u010", [1, 3, 4, 7, 4, 3, 5]], "2 3 4 49": ["u009", [1, 3, 4, 7, 4, 3, 5]], "2 3 4 5": ["u001", []], "2 3 4 50": ["u009", [7, 6, 0, 5, 6]], "2 3 4 51": ["u010", [7, 6, 0, 5, 6]], "2 3 4 52": ["u010", [0, 3, 1, 6, 7, 5, 2, 6]], "2 3 4 53": ["u009", [0, 3, 1, 6, 7, 5, 2, 6]], "2 3 4 54": ["u009", [1, 7, 1, 6, 0, 5, 6]], "2 3 4 55": ["u010", [1, 7, 1, 6, 0, 5, 6]], "2 3 4 56": ["u010", [3, 6, 1, 7, 3, 5, 2]], "2 3 4 57": ["u009", [3, 6, 1, 7, 3, 5, 2]], "2 3 4 58": ["u009", [7, 6, 5, 6]], "2 3 4 59": ["u010", [7, 6, 5, 6]], "2 3 4 60": ["u010", [3, 1, 2, 7, 1, 7, 3]], "2 3 4 61": ["u009", [3, 1, 2, 7, 1, 7, 3]], "2 3 4 62": ["u009", [1, 7, 1, 6, 5, 6]], "2 3 4 63": ["u010", [1, 7, 1, 6, 5, 6]], "2 3 4 64": ["u010", [2, 7, 1, 7, 3, 1, 2]], "2 3 4 65": ["u009", [2, 7, 1, 7, 3, 1, 2]], "2 3 4 66": ["u009", [4, 7, 0, 7, 4]], "2 3 4 67": ["u010", [4, 7, 0, 7, 4]], "2 3 4 68": ["u010", [1, 3, 0, 3, 7, 1, 7]], "2 3 4 69": ["u009", [1, 3, 0, 3, 7, 1, 7]], "2 3 4 7": ["u002", []], "2 3 4 70": ["u009", [1, 3, 5, 2, 6, 5, 3]], "2 3 4 71": ["u010", [1, 3, 5, 2, 6, 5, 3]], "2 3 4 72": ["u010", [3, 0, 3]], "2 3 4 73": ["u009", [3, 0, 3]], "2 3 4 74": ["u009", [3, 0, 3, 7]], "2 3 4 75": ["u010", [3, 0, 3, 7]], "2 3 4 76": ["u010", [3, 7, 1, 2, 7, 1, 3]], "2 3 4 77": ["u009", [3, 7, 1, 2, 7, 1, 3]], "2 3 4 78": ["u009", [1, 3, 0, 3, 7, 1]], "2 3 4 79": ["u010", [1, 3, 0, 3, 7, 1]], "2 3 4 8": ["u003", []], "2 3 4 80": ["u010", [4, 7, 0, 4, 7, 4]], "2 3 4 81": ["u009", [4, 7, 0, 4, 7, 4]], "2 3 4 82": ["u009", [2, 1, 3, 7, 3, 1, 2]], "2 3 4 83": ["u010", [2, 1, 3, 7, 3, 1, 2]], "2 3 4 84": ["u010", [1, 7, 1, 6, 5, 6, 7]], "2 3 4 85": ["u009", [1, 7, 1, 6, 5, 6, 7]], "2 3 4 86": ["u009", [1, 3, 1, 4, 6, 5, 3]], "2 3 4 87": ["u010", [1, 3, 1, 4, 6, 5, 3]], "2 3 4 88": ["u010", [2, 1, 7, 1, 2]], "2 3 4 89": ["u009", [2, 1, 7, 1, 2]], "2 3 4 9": ["u003", [7]], "2 3 4 90": ["u009", [6, 3, 5, 3, 0, 6]], "2 3 4 91": ["u010", [6, 3, 5, 3, 0, 6]], "2 3 4 92": ["u010", [0, 3, 1, 2, 7, 1, 3, 0]], "2 3 4 93": ["u009", [0, 3, 1, 2, 7, 1, 3, 0]], "2 3 4 94": ["u009", [1, 3, 0, 1, 4, 6, 5, 3]], "2 3 4 95": ["u010", [1, 3, 0, 1, 4, 6, 5, 3]], "2 3 4 96": ["u010", [2, 1, 3, 1, 2]], "2 3 4 97": ["u009", [2, 1, 3, 1, 2]], "2 3 4 98": ["u009", [2, 5, 3, 7, 1, 6, 3]], "2 3 4 99": ["u010", [2, 5, 3, 7, 1, 6, 3]], "2 3 5 12": ["u004", [0]], "2 3 5 13": ["u005", [0]], "2 3 5 14": ["u007", [0]], "2 3 5 30": ["u008", [0]], "2 3 5 42": ["u010", [0]], "2 3 5 8": ["u002", [0]], "2 3 7 12": ["u009", [2, 3, 1, 4, 7, 6, 3]], "2 3 7 13": ["u010", [2, 3, 1, 4, 7, 6, 3]], "2 3 7 14": ["u010", [1, 7, 1, 6, 1, 6]], "2 3 7 30": ["u008", [6, 1, 6]], "2 3 8 12": ["u009", [2, 3, 1, 4, 3, 6, 7]], "2 3 8 13": ["u010", [2, 3, 1, 4, 3, 6, 7]], "2 3 8 14": ["u009", [0, 1, 7, 1, 6, 1, 6]], "2 3 8 30": ["u008", [0, 6, 1, 6]], "2 3 9 12": ["u009", [5, 0, 6, 3, 1, 6]], "2 3 9 13": ["u010", [0, 1, 6, 3, 1, 6, 7]], "2 3 9 14": ["u009", [0, 5, 7, 1, 6, 1, 6]], "2 3 9 30": ["u008", [1, 0, 6, 1, 3, 6]], "2 4 12 14": ["u012", [7]], "2 4 12 15": ["u012", [0, 4, 3, 5, 3, 4]], "2 4 12 24": ["u016", [0, 4, 3, 5, 3, 4]], "2 4 12 30": ["u017", [7]], "2 4 12 31": ["u018", [7]], "2 4 12 32": ["u019", [7]], "2 4 12 42": ["u024", [4, 3, 5, 3, 4]], "2 4 12 43": ["u023", [4, 3, 5, 3, 4]], "2 4 12 47": ["u027", [4, 3, 5, 3, 4]], "2 4 13 14": ["u028", [7]], "2 4 13 17": ["u029", [0, 7]], "2 4 13 31": ["u034", [7]], "2 4 13 33": ["u035", [7]], "2 4 13 44": ["u040", [1, 7, 1, 7]], "2 4 5 12": ["u004", [0, 7]], "2 4 5 13": ["u005", [0, 7]], "2 4 5 30": ["u008", [0, 7]], "2 4 5 42": ["u009", [7, 0, 7]], "2 4 5 8": ["u002", [0, 1, 3, 4, 3]], "2 5 10 12": ["u006", [0, 1]], "2 5 10 13": ["u007", [7, 0, 1]], "2 5 10 30": ["u008", [0, 1]], "2 5 10 42": ["u010", [0, 3, 4, 7, 4, 3, 5]], "2 5 12 100": ["u067", [0, 7, 0]], "2 5 12 101": ["u067", [7]], "2 5 12 102": ["u066", [4, 3, 5, 3, 4, 7]], "2 5 12 103": ["u066", [1, 0, 7, 0, 1]], "2 5 12 104": ["u066", [0, 7, 0]], "2 5 12 105": ["u066", [7]], "2 5 12 108": ["u062", [3, 0, 3]], "2 5 12 109": ["u063", [3, 0, 3]], "2 5 12 110": ["u064", [3, 0, 3]], "2 5 12 111": ["u065", [3, 0, 3]], "2 5 12 114": ["u065", [6, 0, 6]], "2 5 12 115": ["u064", [6, 0, 6]], "2 5 12 116": ["u063", [6, 0, 6]], "2 5 12 117": ["u062", [6, 0, 6]], "2 5 12 13": ["u043", [2, 7, 1]], "2 5 12 14": ["u057", []], "2 5 12 15": ["u058", []], "2 5 12 16": ["u058", [7]], "2 5 12 17": ["u057", [0, 7, 0]], "2 5 12 18": ["u043", [0, 2, 7, 0, 7, 1]], "2 5 12 21": ["u013", [1, 0, 2, 7, 1]], "2 5 12 22": ["u059", []], "2 5 12 23": ["u060", []], "2 5 12 24": ["u061", []], "2 5 12 25": ["u061", [7]], "2 5 12 26": ["u060", [0, 7, 0]], "2 5 12 27": ["u059", [1, 0, 7, 0, 1]], "2 5 12 28": ["u013", [2, 7, 4, 1, 6, 3]], "2 5 12 31": ["u062", []], "2 5 12 32": ["u063", []], "2 5 12 33": ["u064", []], "2 5 12 34": ["u065", []], "2 5 12 37": ["u065", [0, 7, 0]], "2 5 12 38": ["u064", [3, 7, 3]], "2 5 12 39": ["u063", [3, 7, 3]], "2 5 12 40": ["u062", [3, 7, 3]], "2 5 12 42": ["u066", []], "2 5 12 43": ["u066", [0, 7, 0, 7]], "2 5 12 44": ["u066", [1, 0, 7, 0, 1, 7]], "2 5 12 45": ["u066", [4, 3, 5, 3, 4]], "2 5 12 46": ["u067", []], "2 5 12 47": ["u067", [0, 7, 0, 7]], "2 5 12 48": ["u067", [1, 0, 7, 0, 1, 7]], "2 5 12 49": ["u067", [4, 3, 5, 3, 4]], "2 5 12 50": ["u067", [1, 0, 3, 6, 5, 7, 6, 1, 2]], "2 5 12 51": ["u067", [1, 4, 2, 7, 1, 6, 7, 5]], "2 5 12 52": ["u067", [1, 5, 7, 6, 1, 2, 7, 4]], "2 5 12 53": ["u067", [6, 3, 0, 5, 3, 5, 6, 7]], "2 5 12 54": ["u066", [1, 0, 3, 6, 5, 7, 6, 1, 2]], "2 5 12 55": ["u066", [1, 4, 2, 7, 1, 6, 7, 5]], "2 5 12 56": ["u066", [1, 5, 7, 6, 1, 2, 7, 4]], "2 5 12 57": ["u066", [6, 3, 0, 5, 3, 5, 6, 7]], "2 5 12 58": ["u066", [2, 1, 7, 1, 2, 7]], "2 5 12 59": ["u066", [6, 5, 3, 5, 6]], "2 5 12 60": ["u066", [1, 6, 5, 3, 1, 6, 5]], "2 5 12 61": ["u066", [0, 5, 0, 7, 6, 1, 3, 6, 5]], "2 5 12 62": ["u067", [2, 1, 7, 1, 2, 7]], "2 5 12 63": ["u067", [6, 5, 3, 5, 6]], "2 5 12 64": ["u067", [1, 6, 5, 3, 1, 6, 5]], "2 5 12 65": ["u067", [0, 5, 0, 7, 6, 1, 3, 6, 5]], "2 5 12 66": ["u067", [0, 1, 3, 7, 3, 1, 7, 0]], "2 5 12 67": ["u067", [1, 3, 7, 3, 1, 7]], "2 5 12 68": ["u067", [3, 7, 3, 7]], "2 5 12 69": ["u067", [3, 0, 3]], "2 5 12 70": ["u066", [0, 1, 3, 7, 3, 1, 7, 0]], "2 5 12 71": ["u066", [1, 3, 7, 3, 1, 7]], "2 5 12 72": ["u066", [3, 7, 3, 7]], "2 5 12 73": ["u066", [3, 0, 3]], "2 5 12 74": ["u066", [3, 0, 3, 7]], "2 5 12 75": ["u066", [3, 7, 3]], "2 5 12 76": ["u066", [1, 3, 7, 3, 1]], "2 5 12 77": ["u066", [0, 5, 3, 4, 6, 7, 6, 5]], "2 5 12 78": ["u067", [3, 0, 3, 7]], "2 5 12 79": ["u067", [3, 7, 3]], "2 5 12 80": ["u067", [1, 3, 7, 3, 1]], "2 5 12 81": ["u067", [0, 5, 3, 4, 6, 7, 6, 5]], "2 5 12 82": ["u067", [4, 3, 1, 6, 5, 6, 3, 4]], "2 5 12 83": ["u067", [1, 6, 5, 3, 1, 6, 5, 7]], "2 5 12 84": ["u067", [6, 5, 3, 5, 6, 7]], "2 5 12 85": ["u067", [2, 1, 7, 1, 2]], "2 5 12 86": ["u066", [4, 3, 1, 6, 5, 6, 3, 4]], "2 5 12 87": ["u066", [1, 6, 5, 3, 1, 6, 5, 7]], "2 5 12 88": ["u066", [6, 5, 3, 5, 6, 7]], "2 5 12 89": ["u066", [2, 1, 7, 1, 2]], "2 5 12 90": ["u066", [6, 3, 0, 5, 3, 5, 6]], "2 5 12 91": ["u066", [7, 6, 0, 5, 3, 5, 6]], "2 5 12 92": ["u066", [1, 2, 7, 1, 6, 5, 7, 5, 6]], "2 5 12 93": ["u066", [1, 6, 7, 5, 2, 3, 5, 7, 6]], "2 5 12 94": ["u067", [6, 3, 0, 5, 3, 5, 6]], "2 5 12 95": ["u067", [7, 6, 0, 5, 3, 5, 6]], "2 5 12 96": ["u067", [1, 2, 7, 1, 6, 5, 7, 5, 6]], "2 5 12 97": ["u067", [1, 6, 7, 5, 2, 3, 5, 7, 6]], "2 5 12 98": ["u067", [4, 3, 5, 3, 4, 7]], "2 5 12 99": ["u067", [1, 0, 7, 0, 1]], "2 5 13 100": ["u075", [3, 1, 7, 1, 3, 7]], "2 5 13 101": ["u075", [1, 7, 1]], "2 5 13 102": ["u076", [0, 7, 0]], "2 5 13 103": ["u076", [7]], "2 5 13 104": ["u075", [0, 7, 0]], "2 5 13 105": ["u075", [7]], "2 5 13 107": ["u071", [3, 0, 3]], "2 5 13 108": ["u072", [3, 0, 3]], "2 5 13 109": ["u064", [6, 5, 0, 3, 6]], "2 5 13 110": ["u073", [3, 0, 3]], "2 5 13 111": ["u074", [3, 0, 3]], "2 5 13 112": ["u065", [6, 5, 0, 3, 6, 1]], "2 5 13 113": ["u065", [6, 3, 1, 0, 6, 5]], "2 5 13 114": ["u074", [6, 0, 6]], "2 5 13 115": ["u073", [6, 0, 6]], "2 5 13 116": ["u064", [6, 5, 0, 6]], "2 5 13 117": ["u072", [6, 0, 6]], "2 5 13 118": ["u071", [6, 0, 6]], "2 5 13 14": ["u068", []], "2 5 13 15": ["u057", [0, 7, 0, 1]], "2 5 13 16": ["u057", [0, 7, 0, 1, 7]], "2 5 13 17": ["u068", [0, 7, 0]], "2 5 13 18": ["u069", []], "2 5 13 19": ["u043", [2, 1]], "2 5 13 21": ["u059", [2, 1, 0, 1, 2]], "2 5 13 22": ["u030", [1, 2, 1]], "2 5 13 23": ["u070", []], "2 5 13 24": ["u060", [2, 3, 4, 6, 5, 0]], "2 5 13 25": ["u060", [5, 3, 7, 4, 3]], "2 5 13 26": ["u070", [0, 7, 0]], "2 5 13 27": ["u030", [2, 7, 1, 2]], "2 5 13 28": ["u059", [1, 3, 4, 7, 3, 5]], "2 5 13 30": ["u071", []], "2 5 13 31": ["u072", []], "2 5 13 32": ["u064", [6, 5, 6]], "2 5 13 33": ["u073", []], "2 5 13 34": ["u074", []], "2 5 13 35": ["u065", [6, 3, 1, 6, 5]], "2 5 13 36": ["u065", [6, 3, 1, 6, 5, 7]], "2 5 13 37": ["u074", [0, 7, 0]], "2 5 13 38": ["u073", [3, 7, 3]], "2 5 13 39": ["u064", [1, 6, 5, 6, 7, 1]], "2 5 13 40": ["u072", [3, 7, 3]], "2 5 13 41": ["u071", [3, 7, 3]], "2 5 13 42": ["u075", []], "2 5 13 43": ["u075", [0, 7, 0, 7]], "2 5 13 44": ["u076", []], "2 5 13 45": ["u076", [0, 7, 0, 7]], "2 5 13 46": ["u075", [1, 7, 1, 7]], "2 5 13 47": ["u075", [3, 1, 7, 1, 3]], "2 5 13 48": ["u076", [1, 7, 1, 7]], "2 5 13 49": ["u076", [3, 1, 7, 1, 3]], "2 5 13 50": ["u076", [4, 7, 1, 6, 1, 7, 4]], "2 5 13 51": ["u076", [0, 1, 7, 4, 6, 7, 1, 2, 3, 5]], "2 5 13 52": ["u075", [4, 7, 1, 6, 1, 7, 4]], "2 5 13 53": ["u075", [0, 1, 7, 4, 6, 7, 1, 2, 3, 5]], "2 5 13 54": ["u076", [1, 5, 7, 6, 1, 2, 7, 4]], "2 5 13 55": ["u076", [6, 3, 0, 5, 3, 5, 6, 7]], "2 5 13 56": ["u075", [1, 5, 7, 6, 1, 2, 7, 4]], "2 5 13 57": ["u075", [6, 3, 0, 5, 3, 5, 6, 7]], "2 5 13 58": ["u075", [2, 1, 7, 1, 2, 7]], "2 5 13 59": ["u075", [6, 5, 3, 5, 6]], "2 5 13 60": ["u076", [2, 1, 7, 1, 2, 7]], "2 5 13 61": ["u076", [6, 5, 3, 5, 6]], "2 5 13 62": ["u075", [5, 7, 6, 1, 6, 7, 5]], "2 5 13 63": ["u075", [0, 3, 4, 7, 1, 6, 5, 7, 4]], "2 5 13 64": ["u076", [5, 7, 6, 1, 6, 7, 5]], "2 5 13 65": ["u076", [0, 3, 4, 7, 1, 6, 5, 7, 4]], "2 5 13 66": ["u076", [1, 7, 1, 3, 7, 3]], "2 5 13 67": ["u076", [1, 3, 0, 3, 7, 1, 7]], "2 5 13 68": ["u075", [1, 7, 1, 3, 7, 3]], "2 5 13 69": ["u075", [1, 3, 0, 3, 7, 1, 7]], "2 5 13 70": ["u076", [3, 7, 3, 7]], "2 5 13 71": ["u076", [3, 0, 3]], "2 5 13 72": ["u075", [3, 7, 3, 7]], "2 5 13 73": ["u075", [3, 0, 3]], "2 5 13 74": ["u075", [3, 0, 3, 7]], "2 5 13 75": ["u075", [3, 7, 3]], "2 5 13 76": ["u076", [3, 0, 3, 7]], "2 5 13 77": ["u076", [3, 7, 3]], "2 5 13 78": ["u075", [1, 3, 0, 3, 7, 1]], "2 5 13 79": ["u075", [1, 7, 1, 3, 7, 3, 7]], "2 5 13 80": ["u076", [1, 3, 0, 3, 7, 1]], "2 5 13 81": ["u076", [1, 7, 1, 3, 7, 3, 7]], "2 5 13 82": ["u076", [1, 7, 1, 6, 5, 3, 5, 6]], "2 5 13 83": ["u076", [5, 7, 1, 6, 5, 6, 7, 5]], "2 5 13 84": ["u075", [1, 7, 1, 6, 5, 3, 5, 6]], "2 5 13 85": ["u075", [5, 7, 1, 6, 5, 6, 7, 5]], "2 5 13 86": ["u076", [6, 5, 3, 5, 6, 7]], "2 5 13 87": ["u076", [2, 1, 7, 1, 2]], "2 5 13 88": ["u075", [6, 5, 3, 5, 6, 7]], "2 5 13 89": ["u075", [2, 1, 7, 1, 2]], "2 5 13 90": ["u075", [6, 3, 0, 5, 3, 5, 6]], "2 5 13 91": ["u075", [7, 6, 0, 5, 3, 5, 6]], "2 5 13 92": ["u076", [6, 3, 0, 5, 3, 5, 6]], "2 5 13 93": ["u076", [7, 6, 0, 5, 3, 5, 6]], "2 5 13 94": ["u075", [4, 6, 7, 1, 0, 6, 5, 3, 4]], "2 5 13 95": ["u075", [4, 7, 1, 4, 6, 5, 7, 4]], "2 5 13 96": ["u076", [4, 6, 7, 1, 0, 6, 5, 3, 4]], "2 5 13 97": ["u076", [4, 7, 1, 4, 6, 5, 7, 4]], "2 5 13 98": ["u076", [3, 1, 7, 1, 3, 7]], "2 5 13 99": ["u076", [1, 7, 1]], "2 5 14 30": ["u071", [1, 0, 7, 0]], "2 5 14 42": ["u075", [2, 5, 7, 6, 7, 5, 2]], "2 5 15 42": ["u067", [1, 4, 3, 5, 3, 4]], "2 5 16 42": ["u066", [2, 5, 7, 6, 7, 5, 2]], "2 5 17 30": ["u071", [1]], "2 5 17 42": ["u076", [0, 7, 0, 1, 7]], "2 5 18 30": ["u071", [1, 0, 7, 0, 1]], "2 5 18 42": ["u076", [1, 0, 7, 0, 1, 7]], "2 5 19 42": ["u067", [1, 7, 1, 7]], "2 5 21 30": ["u062", [2, 1, 0, 1, 2]], "2 5 21 42": ["u066", [2, 1, 0, 1, 2]], "2 5 22 30": ["u072", [2, 1, 0, 1, 2]], "2 5 22 42": ["u075", [2, 1, 0, 1, 2]], "2 5 23 30": ["u072", [0, 4, 1, 2, 6, 3]], "2 5 23 42": ["u075", [3, 4, 7, 4, 3, 5]], "2 5 24 30": ["u062", [0, 4, 1, 2, 6, 3]], "2 5 24 42": ["u067", [0, 7, 4, 1, 2, 6, 3]], "2 5 25 30": ["u062", [0, 4, 1, 2, 6, 3, 7]], "2 5 25 42": ["u066", [3, 4, 7, 4, 3, 5]], "2 5 26 30": ["u072", [1, 2, 1, 0, 1, 2]], "2 5 26 42": ["u076", [7, 5, 3, 7, 4, 3]], "2 5 27 30": ["u072", [0, 1, 2, 3, 4, 6, 5]], "2 5 27 42": ["u076", [1, 7, 5, 3, 7, 4, 3]], "2 5 28 30": ["u062", [0, 2, 4, 7, 3, 4, 6]], "2 5 28 42": ["u067", [2, 4, 6, 7, 1, 3, 4, 7]], "2 5 30 100": ["u077", [0, 7, 0, 1]], "2 5 30 101": ["u077", [1, 7, 1]], "2 5 30 102": ["u077", [7, 1]], "2 5 30 103": ["u077", [1, 0, 7, 0, 1]], "2 5 30 104": ["u077", [0, 7, 0]], "2 5 30 105": ["u077", [7]], "2 5 30 107": ["u054", [7, 4, 6, 0, 5]], "2 5 30 110": ["u071", [2, 1, 3, 1, 2]], "2 5 30 111": ["u071", [1, 6, 0, 5, 0, 6]], "2 5 30 114": ["u071", [1, 2, 1, 3, 1, 2]], "2 5 30 115": ["u071", [6, 0, 5, 0, 6]], "2 5 30 118": ["u054", [3, 6, 7, 1, 4]], "2 5 30 31": ["u054", [1, 3, 6, 7, 1, 4]], "2 5 30 32": ["u062", [6, 0, 5, 6]], "2 5 30 33": ["u072", [6, 0, 5, 6]], "2 5 30 34": ["u072", [1, 6, 0, 5, 3, 6]], "2 5 30 35": ["u062", [1, 6, 0, 5, 6]], "2 5 30 36": ["u062", [1, 6, 0, 5, 6, 7]], "2 5 30 37": ["u072", [1, 6, 0, 5, 6]], "2 5 30 38": ["u072", [1, 6, 0, 5, 3, 6, 1]], "2 5 30 39": ["u062", [1, 6, 0, 5, 6, 7, 1]], "2 5 30 40": ["u054", [6, 7, 1, 2, 5, 3]], "2 5 30 42": ["u077", []], "2 5 30 43": ["u077", [0, 7, 0, 7]], "2 5 30 44": ["u077", [7, 1, 0, 7, 0]], "2 5 30 45": ["u077", [7, 1, 7]], "2 5 30 46": ["u077", [1, 7, 1, 7]], "2 5 30 47": ["u077", [0, 7, 0, 1, 7]], "2 5 30 48": ["u077", [1, 0, 7, 0, 7]], "2 5 30 49": ["u077", [1]], "2 5 30 50": ["u077", [2, 1, 3, 1, 2, 7]], "2 5 30 51": ["u077", [6, 3, 0, 5, 0, 6]], "2 5 30 52": ["u077", [4, 2, 7, 1, 6, 7, 5]], "2 5 30 53": ["u077", [2, 1, 3, 1, 2, 7, 1]], "2 5 30 54": ["u077", [4, 3, 1, 2, 7, 1, 6]], "2 5 30 55": ["u077", [2, 4, 3, 5, 2, 3, 5]], "2 5 30 56": ["u077", [1, 6, 3, 0, 5, 0, 6]], "2 5 30 57": ["u077", [1, 2, 1, 3, 1, 2, 7]], "2 5 30 58": ["u078", []], "2 5 30 59": ["u078", [0, 7, 0, 7]], "2 5 30 60": ["u078", [1, 0, 7, 0, 7]], "2 5 30 61": ["u078", [1]], "2 5 30 62": ["u078", [1, 7, 1, 7]], "2 5 30 63": ["u078", [0, 7, 0, 7, 1]], "2 5 30 64": ["u078", [7, 1, 0, 7, 0]], "2 5 30 65": ["u078", [7, 1, 7]], "2 5 30 66": ["u078", [2, 5, 3, 7, 1, 6, 3]], "2 5 30 67": ["u078", [2, 4, 3, 5, 2, 3, 5]], "2 5 30 68": ["u078", [2, 1, 6, 5, 7, 5, 6]], "2 5 30 69": ["u078", [6, 1, 2, 7, 1, 3, 4]], "2 5 30 70": ["u078", [1, 2, 7, 1, 3, 1, 2]], "2 5 30 71": ["u078", [1, 6, 0, 5, 0, 3, 6]], "2 5 30 72": ["u078", [6, 0, 5, 0, 3, 6]], "2 5 30 73": ["u078", [2, 7, 1, 3, 1, 2]], "2 5 30 74": ["u078", [6, 0, 5, 0, 6]], "2 5 30 75": ["u078", [0, 3, 6, 7, 5, 0, 6]], "2 5 30 76": ["u078", [4, 2, 3, 7, 1, 6, 1]], "2 5 30 77": ["u078", [1, 6, 0, 5, 0, 6]], "2 5 30 78": ["u078", [2, 4, 1, 3, 1, 2, 5]], "2 5 30 79": ["u078", [1, 4, 2, 3, 7, 1, 6]], "2 5 30 80": ["u078", [4, 2, 3, 7, 1, 6]], "2 5 30 81": ["u078", [2, 1, 0, 7, 0, 1, 2]], "2 5 30 82": ["u078", [7, 1]], "2 5 30 83": ["u078", [6, 3, 0, 5, 0, 6]], "2 5 30 84": ["u078", [0, 7, 0, 7, 1, 7]], "2 5 30 85": ["u078", [1, 7, 1]], "2 5 30 86": ["u078", [1, 7]], "2 5 30 87": ["u078", [1, 0, 7, 0]], "2 5 30 88": ["u078", [0, 7, 0]], "2 5 30 89": ["u078", [7]], "2 5 30 90": ["u077", [1, 2, 1, 3, 1, 2]], "2 5 30 91": ["u077", [4, 2, 7, 5, 6, 7, 5]], "2 5 30 92": ["u077", [3, 1, 2, 7, 1, 3]], "2 5 30 93": ["u077", [0, 3, 1, 2, 7, 1, 3, 0]], "2 5 30 94": ["u077", [2, 1, 3, 1, 2, 7, 1, 7]], "2 5 30 95": ["u077", [1, 3, 1, 2, 7, 1, 3]], "2 5 30 96": ["u077", [5, 7, 6, 5, 2, 7, 4]], "2 5 30 97": ["u077", [2, 1, 3, 1, 2]], "2 5 30 98": ["u077", [1, 7]], "2 5 30 99": ["u077", [1, 0, 7, 0]], "2 5 31 42": ["u077", [6, 5, 0, 6]], "2 5 32 42": ["u066", [6, 5, 6]], "2 5 33 42": ["u075", [6, 5, 6]], "2 5 34 42": ["u075", [3, 7, 1, 4, 6, 5, 7, 3]], "2 5 35 42": ["u067", [0, 7, 0, 1, 6, 3, 5, 6]], "2 5 36 42": ["u066", [3, 7, 1, 4, 6, 5, 7, 3]], "2 5 37 42": ["u076", [6, 5, 3, 6, 1, 7]], "2 5 38 42": ["u076", [1, 6, 5, 3, 6, 1, 7]], "2 5 39 42": ["u067", [1, 6, 5, 6, 7, 1, 7]], "2 5 40 42": ["u078", [0, 6, 5, 3, 0, 6, 0]], "2 5 41 42": ["u078", [2, 1, 7, 1, 2, 7]], "2 5 42 100": ["u085", [6, 5, 0, 6]], "2 5 42 101": ["u082", [1, 2, 3, 7, 1, 2, 7, 3]], "2 5 42 102": ["u084", [6, 5, 0, 6]], "2 5 42 103": ["u083", [1, 2, 3, 7, 1, 2, 7, 3]], "2 5 42 104": ["u083", [6, 5, 0, 6]], "2 5 42 105": ["u082", [6, 5, 0, 6]], "2 5 42 107": ["u078", [6, 0, 5, 6, 7]], "2 5 42 108": ["u078", [6, 5, 6, 7]], "2 5 42 109": ["u067", [1, 6, 5, 0, 6, 7, 1, 7]], "2 5 42 110": ["u076", [1, 6, 5, 0, 3, 6, 1, 7]], "2 5 42 111": ["u076", [6, 5, 0, 3, 6, 1, 7]], "2 5 42 112": ["u066", [1, 2, 3, 7, 1, 2, 7, 3]], "2 5 42 113": ["u067", [0, 7, 1, 2, 3, 4, 1, 6]], "2 5 42 114": ["u075", [1, 2, 3, 7, 1, 2, 7, 3]], "2 5 42 115": ["u075", [6, 5, 0, 6]], "2 5 42 116": ["u066", [6, 5, 0, 6]], "2 5 42 117": ["u077", [6, 5, 6]], "2 5 42 118": ["u077", [6, 0, 6]], "2 5 42 43": ["u044", [2, 3, 1, 6, 1, 3]], "2 5 42 44": ["u079", []], "2 5 42 45": ["u080", []], "2 5 42 46": ["u081", []], "2 5 42 47": ["u079", [0, 7, 0, 1, 7]], "2 5 42 48": ["u044", [2, 1, 6, 3, 1, 6, 7]], "2 5 42 49": ["u059", [0, 4, 6, 1, 6, 3]], "2 5 42 50": ["u082", []], "2 5 42 51": ["u083", []], "2 5 42 52": ["u083", [2, 5, 7, 6, 7, 5, 2]], "2 5 42 53": ["u084", []], "2 5 42 54": ["u082", [2, 5, 7, 6, 7, 5, 2]], "2 5 42 55": ["u085", []], "2 5 42 56": ["u085", [2, 1, 6, 5, 7, 5, 6]], "2 5 42 57": ["u084", [2, 5, 7, 6, 7, 5, 2]], "2 5 42 58": ["u082", [2, 1, 0, 1, 2]], "2 5 42 59": ["u083", [2, 1, 0, 1, 2]], "2 5 42 60": ["u083", [3, 4, 7, 4, 3, 5]], "2 5 42 61": ["u084", [2, 1, 0, 1, 2]], "2 5 42 62": ["u082", [3, 4, 7, 4, 3, 5]], "2 5 42 63": ["u085", [2, 1, 0, 1, 2]], "2 5 42 64": ["u085", [3, 4, 7, 4, 3, 5]], "2 5 42 65": ["u084", [3, 4, 7, 4, 3, 5]], "2 5 42 66": ["u015", [7, 4, 6, 1, 6, 3]], "2 5 42 67": ["u086", []], "2 5 42 68": ["u087", []], "2 5 42 69": ["u088", []], "2 5 42 70": ["u088", [6, 5, 6]], "2 5 42 71": ["u087", [6, 5, 6]], "2 5 42 72": ["u086", [6, 5, 6]], "2 5 42 73": ["u015", [4, 6, 1, 6, 3, 1]], "2 5 42 74": ["u082", [6, 5, 6]], "2 5 42 75": ["u083", [6, 5, 6]], "2 5 42 76": ["u083", [6, 7, 5, 6, 7, 1, 2]], "2 5 42 77": ["u084", [6, 5, 6]], "2 5 42 78": ["u082", [0, 3, 6, 5, 6, 7, 1, 2]], "2 5 42 79": ["u085", [6, 5, 6]], "2 5 42 80": ["u085", [2, 1, 6, 5, 7, 6]], "2 5 42 81": ["u084", [1, 6, 5, 7, 3, 7, 6]], "2 5 42 82": ["u089", []], "2 5 42 83": ["u090", []], "2 5 42 84": ["u091", []], "2 5 42 85": ["u092", []], "2 5 42 86": ["u092", [6, 0, 5, 0, 6]], "2 5 42 87": ["u091", [6, 0, 5, 0, 6]], "2 5 42 88": ["u090", [6, 0, 5, 0, 6]], "2 5 42 89": ["u089", [6, 0, 5, 0, 6]], "2 5 42 90": ["u089", [6, 0, 5, 6]], "2 5 42 91": ["u090", [6, 0, 5, 6]], "2 5 42 92": ["u091", [6, 0, 5, 6]], "2 5 42 93": ["u092", [6, 0, 5, 6]], "2 5 42 94": ["u092", [6, 0, 6]], "2 5 42 95": ["u091", [6, 0, 6]], "2 5 42 96": ["u090", [6, 0, 6]], "2 5 42 97": ["u089", [6, 0, 6]], "2 5 42 98": ["u084", [1, 6, 5, 0, 6, 7]], "2 5 42 99": ["u085", [1, 6, 5, 0, 3, 6]], "2 5 7 12": ["u006", [0, 1, 0, 7, 0]], "2 5 7 13": ["u007", [7, 0, 7, 1]], "2 5 7 30": ["u008", [0, 7, 1]], "2 5 7 42": ["u009", [0, 1, 0, 7, 0, 7]], "2 5 7 8": ["u002", [0, 7, 1, 7]], "2 5 8 10": ["u002", [0, 1]], "2 5 8 100": ["u056", [1, 6, 3, 1, 6]], "2 5 8 101": ["u055", [1, 6, 1, 6]], "2 5 8 102": ["u055", [7, 1, 7, 6, 1, 6]], "2 5 8 103": ["u056", [1, 6, 1, 6]], "2 5 8 104": ["u056", [1, 6, 3, 1, 6, 1]], "2 5 8 105": ["u055", [4, 6, 5, 7, 4, 6]], "2 5 8 109": ["u055", [2, 1, 3, 1, 2]], "2 5 8 110": ["u056", [2, 1, 3, 1, 2]], "2 5 8 111": ["u056", [1, 6, 5, 0, 6]], "2 5 8 112": ["u055", [1, 2, 1, 3, 1, 2]], "2 5 8 113": ["u055", [1, 6, 5, 0, 6]], "2 5 8 114": ["u056", [1, 2, 1, 3, 1, 2]], "2 5 8 115": ["u056", [6, 5, 0, 6]], "2 5 8 116": ["u055", [6, 5, 0, 6]], "2 5 8 12": ["u055", []], "2 5 8 13": ["u056", []], "2 5 8 14": ["u056", [1, 0, 7, 0]], "2 5 8 15": ["u055", [1]], "2 5 8 16": ["u055", [7, 1, 7]], "2 5 8 17": ["u056", [1]], "2 5 8 18": ["u056", [1, 0, 7, 0, 1]], "2 5 8 19": ["u055", [1, 7, 1, 7]], "2 5 8 21": ["u055", [2, 1, 0, 1, 2]], "2 5 8 22": ["u056", [2, 1, 0, 1, 2]], "2 5 8 23": ["u056", [3, 4, 7, 3, 5]], "2 5 8 24": ["u055", [0, 4, 1, 2, 6, 3]], "2 5 8 25": ["u055", [3, 4, 7, 3, 5]], "2 5 8 26": ["u056", [5, 3, 7, 4, 3]], "2 5 8 27": ["u056", [4, 7, 0, 7, 4]], "2 5 8 28": ["u055", [4, 7, 0, 7, 4]], "2 5 8 32": ["u055", [6, 5, 6]], "2 5 8 33": ["u056", [6, 5, 6]], "2 5 8 34": ["u056", [1, 6, 3, 5, 6]], "2 5 8 35": ["u055", [1, 6, 5, 6]], "2 5 8 36": ["u055", [2, 1, 6, 5, 7, 6]], "2 5 8 37": ["u056", [1, 6, 5, 6]], "2 5 8 38": ["u056", [1, 6, 3, 1, 6, 5]], "2 5 8 39": ["u055", [6, 5, 0, 3, 0, 6]], "2 5 8 42": ["u056", [6, 1, 3, 6, 1]], "2 5 8 43": ["u055", [2, 4, 3, 7, 1, 2, 3]], "2 5 8 44": ["u055", [5, 2, 3, 7, 1, 2, 3]], "2 5 8 45": ["u056", [1, 6, 1, 3, 6]], "2 5 8 46": ["u056", [1, 6, 1, 3, 1, 6]], "2 5 8 47": ["u055", [1, 6, 1, 3, 6]], "2 5 8 48": ["u055", [6, 1, 3, 6]], "2 5 8 49": ["u056", [6, 1, 3, 6]], "2 5 8 50": ["u055", [3, 4, 7, 3]], "2 5 8 51": ["u056", [3, 4, 7, 3]], "2 5 8 52": ["u056", [1, 3, 4, 7, 3]], "2 5 8 53": ["u055", [5, 3, 0, 3]], "2 5 8 54": ["u055", [0, 1, 2, 3, 4, 6]], "2 5 8 55": ["u056", [5, 3, 0, 3]], "2 5 8 56": ["u056", [6, 1, 0, 5, 6]], "2 5 8 57": ["u055", [6, 1, 0, 5, 6]], "2 5 8 58": ["u055", [7, 1, 7, 5]], "2 5 8 59": ["u056", [1, 0, 7, 0, 5]], "2 5 8 60": ["u056", [5]], "2 5 8 61": ["u055", [5, 7, 1, 7]], "2 5 8 62": ["u055", [5]], "2 5 8 63": ["u056", [4, 1, 3, 4]], "2 5 8 64": ["u056", [1, 5]], "2 5 8 65": ["u055", [1, 5]], "2 5 8 66": ["u056", [2, 3, 5, 2, 3]], "2 5 8 67": ["u055", [2, 3, 5, 2, 3]], "2 5 8 68": ["u055", [1, 2, 3, 5, 2, 3]], "2 5 8 69": ["u056", [1, 2, 3, 5, 2, 3]], "2 5 8 70": ["u056", [1, 6, 1, 0, 3, 6]], "2 5 8 71": ["u055", [1, 2, 3, 5, 2, 3, 5]], "2 5 8 72": ["u055", [2, 3, 5, 2, 3, 5]], "2 5 8 73": ["u056", [2, 3, 5, 2, 3, 1]], "2 5 8 74": ["u055", [2, 1, 3, 1, 4, 2]], "2 5 8 75": ["u056", [2, 1, 3, 1, 4, 2]], "2 5 8 76": ["u056", [1, 6, 1, 0, 6]], "2 5 8 77": ["u055", [2, 1, 3, 1, 2, 5]], "2 5 8 78": ["u055", [1, 6, 1, 0, 6]], "2 5 8 79": ["u056", [1, 6, 3, 1, 0, 6]], "2 5 8 80": ["u056", [6, 1, 0, 6]], "2 5 8 81": ["u055", [6, 1, 0, 6]], "2 5 8 82": ["u056", [3, 4, 3]], "2 5 8 83": ["u055", [3, 4, 3]], "2 5 8 84": ["u055", [1, 3, 4, 3]], "2 5 8 85": ["u056", [1, 3, 4, 3]], "2 5 8 86": ["u056", [5, 0, 7, 0]], "2 5 8 87": ["u055", [3, 4, 3, 7, 1, 7]], "2 5 8 88": ["u055", [7, 0, 1, 0, 5, 7]], "2 5 8 89": ["u056", [3, 4, 3, 1]], "2 5 8 90": ["u056", [1, 5, 3, 7, 3, 1]], "2 5 8 91": ["u055", [2, 6, 1, 0, 5, 3]], "2 5 8 92": ["u055", [0, 1, 4, 2, 6, 3]], "2 5 8 93": ["u056", [5, 3, 7, 3]], "2 5 8 94": ["u056", [5, 3, 4, 7, 3]], "2 5 8 95": ["u055", [5, 3, 7, 3]], "2 5 8 96": ["u055", [1, 5, 3, 7, 3]], "2 5 8 97": ["u056", [1, 5, 3, 7, 3]], "2 5 8 98": ["u055", [6, 1, 6]], "2 5 8 99": ["u056", [6, 1, 6]], "2 5 9 12": ["u055", [7]], "2 5 9 13": ["u056", [7]], "2 5 9 42": ["u055", [6, 1, 6, 7, 1]], "2 7 12 14": ["u028", [7, 0, 1, 0, 7, 0]], "2 7 12 15": ["u012", [7, 0, 1, 0, 7, 0]], "2 7 12 24": ["u016", [7, 4, 1, 2, 6, 3]], "2 7 12 30": ["u045", [7, 0, 1, 0, 7, 0]], "2 7 12 31": ["u046", [7, 0, 1, 0, 7, 0]], "2 7 12 32": ["u047", [7, 0, 1, 0, 7, 0]], "2 7 12 42": ["u022", [0, 7, 4, 6, 0, 1, 2, 3]], "2 7 12 43": ["u037", [0, 7, 4, 6, 0, 1, 2, 3]], "2 7 12 47": ["u052", [7, 6, 1, 6, 7]], "2 7 13 14": ["u028", [1, 4, 3, 5, 3, 4]], "2 7 13 17": ["u029", [0, 7, 1]], "2 7 13 31": ["u046", [1, 4, 3, 5, 3, 4]], "2 7 13 33": ["u047", [1, 4, 3, 5, 3, 4]], "2 7 13 44": ["u050", [1, 4, 3, 5, 3, 4]], "2 8 12 14": ["u079", [2, 3, 1, 4, 7, 6, 3]], "2 8 12 15": ["u080", [1, 7, 6, 1, 6]], "2 8 12 24": ["u088", [5, 7, 6, 1, 6, 7]], "2 8 12 30": ["u077", [1, 7, 6, 1, 6]], "2 8 12 31": ["u078", [5, 6, 0, 6, 7, 1, 7]], "2 8 12 32": ["u089", [0, 3, 4, 7, 3, 0]], "2 8 12 42": ["u084", [1, 3, 4, 7, 4, 3]], "2 8 12 43": ["u085", [1, 4, 2, 3, 7, 6]], "2 8 12 47": ["u083", [2, 3, 6, 5, 3, 0, 4]], "2 8 13 14": ["u080", [1, 6, 3, 1, 6]], "2 8 13 17": ["u081", [1, 6, 3, 1, 6]], "2 8 13 31": ["u078", [1, 0, 3, 6, 7, 6, 5]], "2 8 13 33": ["u089", [3, 4, 7, 3]], "2 8 13 44": ["u082", [1, 4, 3, 5, 2, 7, 6]], "2 9 12 14": ["u079", [3, 1, 6, 7, 1, 3]], "2 9 12 15": ["u081", [5, 7, 6, 1, 6]], "2 9 12 24": ["u088", [1, 7, 6, 1, 6, 7]], "2 9 12 30": ["u077", [1, 7, 6, 1, 6, 7]], "2 9 12 31": ["u078", [5, 6, 0, 6, 7, 1]], "2 9 12 32": ["u089", [0, 3, 4, 7, 3, 0, 7]], "2 9 12 42": ["u066", [0, 7, 4, 6, 0, 1, 2, 3]], "2 9 12 43": ["u075", [0, 7, 4, 6, 0, 1, 2, 3]], "2 9 12 47": ["u076", [1, 3, 1, 6, 7, 1, 3]], "2 9 13 14": ["u080", [1, 6, 3, 1, 6, 7]], "2 9 13 17": ["u081", [1, 6, 3, 1, 6, 7]], "2 9 13 31": ["u078", [0, 2, 3, 5, 7, 4, 6]], "2 9 13 33": ["u089", [3, 4, 7, 3, 7]], "2 9 13 44": ["u076", [7, 1, 6, 1, 6, 7]]}
diff --git a/research/complex-rank8-rigidity-p108/PROOF.md b/research/complex-rank8-rigidity-p108/PROOF.md
new file mode 100644
index 0000000000..494a51f615
--- /dev/null
+++ b/research/complex-rank8-rigidity-p108/PROOF.md
@@ -0,0 +1,59 @@
+# Rank-8 rigidity on every P108 unit
+
+Notation, (E), equations (2), (E0), (E2), and Lemmas 2–8 are those of PR1212
+(`research/complex-rank8-decoder-rigidity/PROOF.md` at head `57099cb5`). Lemma 9 and "Step 1" are PR1399's
+(`research/complex-rank8-rigidity-p104-admissible/PROOF.md` at head `4e1ba3a1`). Lemma 10 and the coverage rule
+are PR1419's (`research/complex-rank8-rigidity-extension/PROOF.md` at head `81b8997b`). The per-unit argument is
+PR1425's (`research/complex-rank8-rigidity-p110-odd/PROOF.md` at head `4b707c22`), applied to 168 new units.
+Finite facts marked **[X]** are recomputed by this package's `verify.py` (check id `X`; `u` is one of `u001`, …,
+`u168`).
+
+**Theorem.** Let X be a 4-subset of P112 and L = P112 \ X. Let K be an L × L matrix over a field of
+characteristic 0 with rank K ≤ 8 that satisfies (E). Then K = D (2 G_L) D⁻¹ for an invertible diagonal D.
+
+**Corollary.** In the E-graph model, every decoder with exactly eight costly terms on a P108 unit has
+cst ≥ 60 = 72 − 12. This is PR968's Theorem 4(b) with p = 12, reached through PR1212 §8 verbatim.
+
+## Reduction to 168 units, without a census of quadruples
+
+Let H be the group generated by `verify.py`'s 8 generators. Each is a reflection or a product of two reflections
+fixing FRAME0 **[model.generators]**, so H maps frames inside P112 to frames inside P112. H splits the 227920
+triples of P112 into 24 orbits **[census.triples]**. Let t_1, …, t_24 be their first members.
+
+**Candidate lemma.** Every 4-subset Y of P112 is H-equivalent to a *candidate* t_k ∪ {x} with x ∉ t_k.
+*Proof.* Pick a triple s ⊂ Y. Its orbit contains some t_k, so h(s) = t_k for some h ∈ H, and h(Y) = t_k ∪ {h(y)}
+where y is the fourth line. ∎
+
+There are 2517 distinct candidates **[census.cover]**:
+
+- **49 lie inside a P112 frame.** Since H preserves that property, so does every Y equivalent to one. These units
+  are rigid by PR1419's Theorem, which cites the P104 units of PR1212, PR1389 and PR1399.
+- **The other 2468 are covered by the units.** `COVER.json` gives each one a unit and a word in the generators,
+  of length at most 10. `verify.py` applies the word to the unit's quadruple and checks that the result is the
+  candidate. None of the 168 units lies inside a P112 frame. That they lie in distinct orbits, one per open
+  orbit, comes from `make_proof.py`'s grouping and the independent census. `verify.py` does not check it, and the
+  argument does not need it, since a redundant unit would only add work.
+
+So every 4-subset of P112 is either inside a P112 frame or transported from one of the 168 units. PR1212 §10
+transport needs only some Weyl element carrying one unit onto another. The orbits were grouped with numpy in
+`make_proof.py`, which is not trusted. The full quadruple census, 180 orbits with 12 inside a frame and 168 open,
+is consistent with an independently written count (see README) but is not needed by the argument.
+
+## Per-unit argument
+
+For each unit **[u.rigid]** checks the same conditions as PR1425 and the P109 package:
+
+- PR1212 Lemma 2's D4 facts relative to the pinned pivot F ⊂ L;
+- (I3) with live witnesses on every complete class;
+- (I4), all 14 blocks, and gluing through every shared pivot pair;
+- Lemma 9 connectivity and its sign identity for every other non-pivot live line;
+- (I2) zero exclusion: the zero-pattern CNF plus "some pattern variable is true" is refuted by the DRUP proof
+  in `PROOFS.json.gz`, which is replayed by `verify.py`'s own RUP checker and fails without that clause;
+- exact rational checks of Lemma 9's rank-3 systems and of the §7 assembly on all 108 live lines;
+- the gauge pattern satisfies the CNF.
+
+The proof is then PR1425's:
+
+- **Step 1** (PR1399): Lemmas 5–6 on the complete classes;
+- **Step 2:** Lemma 9 on the rest;
+- **Assembly:** PR1212 §7, then transport. ∎
diff --git a/research/complex-rank8-rigidity-p108/PROOFS.json.gz b/research/complex-rank8-rigidity-p108/PROOFS.json.gz
new file mode 100644
index 0000000000..bd57c7bb70
Binary files /dev/null and b/research/complex-rank8-rigidity-p108/PROOFS.json.gz differ
diff --git a/research/complex-rank8-rigidity-p108/README.md b/research/complex-rank8-rigidity-p108/README.md
new file mode 100644
index 0000000000..5f74736c7a
--- /dev/null
+++ b/research/complex-rank8-rigidity-p108/README.md
@@ -0,0 +1,104 @@
+# Rank-8 masked decoders are gauge-rigid on every P108 unit (no new κ)
+
+**Status: scoped structural result. No κ claim, no construction.** It continues the rank-8 rigidity line of
+PR1212 (burntout76, open, head `57099cb5`), PR1399 (`4e1ba3a1`), PR1419 (`81b8997b`), PR1425 (`4b707c22`) and
+the P109 package (PR1469). It answers PR1469's open next question.
+
+PR1419's extension lemma makes P112 minus X rigid whenever X lies inside a frame of P112. For |X| = 4 that leaves
+168 of the 180 FRAME0-stabiliser orbits of quadruples, 6132952 of 6210820. This package proves rigidity on all
+168 with PR1425's per-unit method ([PROOF.md](PROOF.md)). Each representative has:
+
+- a pivot frame passing PR1212's (I3), (I4) and gluing;
+- PR1399's Lemma 9 connectivity for the remaining lines;
+- a new DRUP refutation for (I2) zero exclusion, 361027 lemmas in total.
+
+**Coverage without a census.** The verifier does not enumerate the 6.2 million quadruples. Every quadruple
+contains a triple, and the 24 triple orbits are cheap to compute. So every quadruple is equivalent to a
+*candidate*: a triple-orbit representative plus one line. There are 2517 candidates:
+
+- 49 lie inside a P112 frame, which is the PR1419 case;
+- for each of the other 2468, `COVER.json` gives a word in the generators that carries a unit's quadruple onto
+  it, and `verify.py` replays every word.
+
+That the 168 units lie in distinct orbits comes from the census and is not needed by the argument.
+
+**Consequence.** With PR1419, every P108 unit (P112 minus any four lines) is rigid. Every decoder with exactly
+eight costly terms in the E-graph model there has cst ≥ 60, which is PR968's 72 − p at p = 12.
+
+## Reproduce
+
+From the repository root, Python 3.10+, standard library only, about 2.5 minutes:
+
+```sh
+python3 -I -B research/complex-rank8-rigidity-p108/verify.py
+```
+
+Expected final line:
+
+```text
+PASS_COMPLEX_RANK8_RIGIDITY_P108: checks 174; 168 rigid units cover every P108 quadruple outside a P112 frame; with PR1419 every P108 unit is rigid; floor 60
+```
+
+What `verify.py` does:
+
+- **Builds everything itself.** It has its own E8 model, triple orbits, cover-word replay, pivot conditions,
+  CNF builder and two-watched-literal RUP checker. It replays all 168 proofs from `PROOFS.json.gz` (about
+  6 MB) and pins the SHA256 of each decompressed proof and each CNF.
+- **Controls.** The gauge pattern satisfies each CNF. Each proof fails without the "some entry vanishes"
+  clause. An empty-clause-only proof is rejected.
+
+To regenerate `UNITS.json`, `COVER.json` and `PROOFS.json.gz` (about 40 s, 8 processes), run the command below.
+It needs python-sat (1.9.dev15, Glucose 4.1, used here), numpy and scipy. numpy only proposes the orbit grouping;
+the verifier checks every word.
+
+```sh
+python3 -I -B research/complex-rank8-rigidity-p108/make_proof.py --out-dir /some/new/dir
+```
+
+**One-time cross-check, not part of `verify.py`.** OpenAI Codex wrote a census independently, from a
+specification only. It finds the same 180 quadruple orbits, with 12 inside a P112 frame (77868 quadruples,
+matching PR1419's count) and 168 open. The argument above does not need that census.
+
+**AI review.** A read-only adversarial review, also by Codex, checked the coverage argument. It confirmed that
+every triple orbit's representative is used, that frame containment is invariant, and that every cover word
+replays. It also checked the P108 edge cases, such as classes with a single live row. It found no soundness gap,
+and its wording point on orbit distinctness is applied above. This is not a human review.
+
+## Not covered
+
+- **Inherited steps.** These are cited, not re-derived:
+  - PR1212's Lemmas 5–6, §7 assembly and §10 transport;
+  - PR1399's Lemma 9;
+  - PR1419's Lemma 10 with its P104 inputs, for the frame-contained quadruples.
+
+  All of these PRs are open, as is PR1469, which is the P109 package. This package does not depend on it, since
+  Lemma 10 is not used between depths here. PR968's premise (F6) is inherited through the floor. Attainment of
+  60 is not checked.
+- **P107 and deeper**, and **nine or more costly terms**.
+- The written proof has had no independent human review. There is no construction and no κ change, and every
+  condition of the selected record is unchanged.
+
+## Open next questions
+
+**P107 to P105, and a structural zero-exclusion lemma.**
+
+- *Why it matters.* PR968's floor goes to p = 15, which is P105. With PR1419's Lemma 10, rigidity of every P105
+  unit would give every intermediate depth at once.
+- *A feasible first step.* Run the same pipeline on the P107 candidates, each a P108 orbit representative plus
+  one line, to measure the proof volume. In parallel, look for a pivot-local argument that excludes zeros from
+  the *trans* and *diag* families alone.
+- *The blocker.* The per-orbit certificates already take about 6 MB at P108, and P105 has on the order of 10⁵
+  orbits. No structural replacement for the DRUP step (I2) is known.
+
+## Credit
+
+- **burntout76 / Brett Halligan (PR1212):** the theorem, (E), the CNF families of Lemmas 4 and 8 (reimplemented
+  here), the pivot reduction, Lemmas 5–6, §7 and the transport.
+- **themilkman216 (PR968):** the floor 72 − p.
+- **DreamingOfClouds (PR717):** the E-graph model.
+- **PR1399, PR1419, PR1425, PR1469 (JosieElliston):** Lemma 9, the extension lemma and coverage rule, and the
+  per-unit pipeline.
+
+Prepared by JosieElliston with substantial assistance from Claude Opus 5.5 (Anthropic) via Claude Code, covering
+the proof, coverage argument, verifier and write-up. OpenAI Codex independently recomputed the orbit census and
+reviewed the package. Apache-2.0.
diff --git a/research/complex-rank8-rigidity-p108/SOURCES.json b/research/complex-rank8-rigidity-p108/SOURCES.json
new file mode 100644
index 0000000000..178b3ca979
--- /dev/null
+++ b/research/complex-rank8-rigidity-p108/SOURCES.json
@@ -0,0 +1,18 @@
+{
+  "schema_version": 1,
+  "base_commit": "410026dc5513b87db92ae98571d1d5984c69a983",
+  "files": [
+    {
+      "path": "certificates/selected-result.json",
+      "usage": "provenance",
+      "git_blob": "ae6a99f28aa468649eb66a361e764d769363bf11",
+      "sha256": "10b9e340fd8e354a37a0c4813c90e5de1dd42044b5f6aca4a3fc5a42b685fa32"
+    },
+    {
+      "path": "docs/research/agent-task-catalog.json",
+      "usage": "provenance",
+      "git_blob": "c05fafaa25ba95b2d5af86b1800427198e3d20eb",
+      "sha256": "89b5928bc92c81e2647b6d702a7ad85a6795b8f44e2eb267b2ff3145d8f2b2ce"
+    }
+  ]
+}
diff --git a/research/complex-rank8-rigidity-p108/TASK.json b/research/complex-rank8-rigidity-p108/TASK.json
new file mode 100644
index 0000000000..45b3f31abb
--- /dev/null
+++ b/research/complex-rank8-rigidity-p108/TASK.json
@@ -0,0 +1,60 @@
+{
+  "schema_version": 1,
+  "task_id": "complex-masked-decoder",
+  "priority_revision": 2,
+  "base_commit": "410026dc5513b87db92ae98571d1d5984c69a983",
+  "original_card": {
+    "id": "complex-masked-decoder",
+    "question": "Can one specified masked or overcomplete decoder improve the complete moment budget?",
+    "starting_points": [
+      "research/complex-decoder-field-extension-seed44/README.md",
+      "research/complex-frame-pair-decoders/README.md"
+    ],
+    "methods": [
+      "Synthesize a decoder with exact coefficients and fully priced helper endpoints.",
+      "Bound the best possible budget for a fixed support alphabet before synthesis."
+    ],
+    "acceptance_gate": "Change an assumption of the eight-term all-pairs bound and count all copied information, frames and restoration.",
+    "first_step": {
+      "command": [
+        "python3",
+        "-B",
+        "research/complex-decoder-field-extension-seed44/verify.py"
+      ],
+      "expected": "PASS_COMPLEX_DECODER_FIELD_EXTENSION_S44",
+      "inspect": "Locate the excluded classes: masked identities, at least nine terms, and deeper punctures.",
+      "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay."
+    },
+    "first_experiment": "Choose one finite support alphabet and test exact decoding constraints before building a whole network.",
+    "bottleneck_link": "A cheaper fully realized decoder could increase deficit or lower recursive cost on the binding complex side.",
+    "allowed_variations": [
+      "Select a specific masked or overcomplete family with exact labels and supports."
+    ],
+    "scope_change_triggers": [
+      "Repeating the exact eight-term all-pairs search inside its proved scope."
+    ],
+    "overlap_terms": [
+      "masked decoder",
+      "overcomplete",
+      "eight-term"
+    ]
+  },
+  "scope_status": "refined",
+  "actual_scope": "Proof obligation inside the masked (E-graph) model: is every rank-<=8 solution of PR1212's system (E) on P112 minus X, for every 4-subset X not inside a P112 frame (the part of P108 that PR1419's extension lemma cannot reach; 168 orbits), equal to D(2G)D^-1, so that decoders with exactly eight costly terms keep PR968's floor 60 on every P108 unit?",
+  "scope_change_reason": "The card asks whether a masked decoder can beat the floor. PR1212/PR1389/PR1399 answered it for exactly eight costly terms on P120, P112, P111 and every P104 frame complement, PR1419 for punctures inside a frame, PR1425 for the rest of P110 and the P109 package (PR1469) for the rest of P109, whose open next question is P108. This closes it; it does not construct a decoder.",
+  "bottleneck_link": "Side result on the binding complex supplier: masked eight-costly-term decoders cannot beat PR968's floor on any P108 unit, so the remaining masked escape routes are nine or more costly terms or punctures of depth five or more not inside a frame.",
+  "budget_minutes": 60,
+  "stop_rule": "Stop at P108 with one PR; P107 and deeper (orbit counts growing toward order 1e5 at P105), and nine or more costly terms, are left as handoffs.",
+  "outcome": "completed",
+  "evidence": "verify.py: 174 exact checks in about 2.5 minutes (generators; triple orbits; a candidate-lemma coverage argument with explicit generator words for all 2468 open candidates; per unit (168) the pivot's D4 structure, (I3), (I4) and gluing, Lemma 9 connectivity and algebra, assembly, CNF consistency, DRUP replay of zero exclusion with its own RUP checker and the needs-zero-clause control; one bogus-proof control). The 180-orbit quadruple census (168 open) matches an independently written census by OpenAI Codex (recorded, not needed by the argument); a read-only adversarial review by OpenAI Codex found no soundness gap (not a human review).",
+  "author": "JosieElliston (with Claude Opus 5.5 via Claude Code)",
+  "ai_assistance": "Claude Opus 5.5 via Claude Code: proof, coverage argument, verifier and write-up. OpenAI Codex: independent orbit census from a specification and a read-only adversarial review. Submitted by the account holder.",
+  "open_questions": [
+    {
+      "question": "Does rank-8 rigidity of (E) hold on P107-P105 units (P112 minus 5-7 lines not inside a P112 frame), and can the per-orbit DRUP step (I2) be replaced by a structural zero-exclusion lemma?",
+      "why_it_matters": "PR968's floor covers punctures up to p = 15 (P105); with PR1419's Lemma 10, rigidity of every P105 unit would give every intermediate depth at once. Per-orbit certificates already cost about 6 MB at P108 and P105 has on the order of 1e5 orbits.",
+      "first_step": "Run make_proof.py's pivot rule and CNF on P107 candidates (P108 orbit representative + one line) to measure proof volume; separately, look for a pivot-local argument that excludes zeros using only the trans and diag families, which carry most refutations.",
+      "blocked_by": "Proof volume grows with the orbit count; no structural replacement for (I2) is known."
+    }
+  ]
+}
diff --git a/research/complex-rank8-rigidity-p108/UNITS.json b/research/complex-rank8-rigidity-p108/UNITS.json
new file mode 100644
index 0000000000..8947045f4c
--- /dev/null
+++ b/research/complex-rank8-rigidity-p108/UNITS.json
@@ -0,0 +1,21674 @@
+{
+ "u001": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "7cef0143d262b52b14d47686eb3daf23f551ec5e1c7deb8f268b2cfa764914de",
+  "cnf_sha256": "b9d838a5ce2cb6b4d47b9a39bc2c7f3823c8899bf1fc6256a5825d0c8bf68dec",
+  "lemmas": 2219
+ },
+ "u002": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "6a43efb0d4211dd9ebba6168119780cd55a57be0a269f6f51c87b188cf67a56f",
+  "cnf_sha256": "ed6f3a274f5e6c822d0e006df3f453bdf3b7dfb766ce6b744186f31bc69554ff",
+  "lemmas": 2866
+ },
+ "u003": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "9c12e00c0cf1ba5c1ae1142e3b70a1b03a3c055e2fe896047c65cf07ff08ab6c",
+  "cnf_sha256": "32a49f1c58ea06ef128c4cf66133d94d6b35e2739f158bd59dd462c99f273d23",
+  "lemmas": 2330
+ },
+ "u004": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "4d9f3270506ed0ae5ea4b65c96b9ad5eec5db0761d75cdd28807eafaa6c89431",
+  "cnf_sha256": "2d701d5fb85c240657632406fb1788e4880ba59c74651c6d62af12c4497fcf83",
+  "lemmas": 1838
+ },
+ "u005": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "2783cee4251a6459c581bd975de9523da0d307f35c12292e040a03b23bdd5d7b",
+  "cnf_sha256": "5657ded5967be36e8901d4c0ae85215ce1af81abb7a51c6109ad8afdf84b599e",
+  "lemmas": 1716
+ },
+ "u006": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "dffc55a95c3282ec4c56743f6dccdb18f160d143b511b4f40880adc9d112a85d",
+  "cnf_sha256": "f90876fe809502cdb63ca555b90b75925d7fbdaf1db3407ee27c35fc64c0c9a0",
+  "lemmas": 2208
+ },
+ "u007": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "bf1a20a78de1fabfd826781b51cd247f5d04829f42f50ca03700e566180dccdb",
+  "cnf_sha256": "62de25ef68622c72260893232ff74e93bbb8d3493c3e46d43146cfa170b3e1a3",
+  "lemmas": 2057
+ },
+ "u008": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "25a79854f7467f401383fa12abfb7a238936a069be386d16db8755827695e735",
+  "cnf_sha256": "c2f075d2d18fa7ad737e2a4f769517d18006331bbd61f2debd4f4be4e59ec35b",
+  "lemmas": 2452
+ },
+ "u009": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    2
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "1884f3145a7376000ada5109f3f368885a8c222bdf1b91a57c795323dfe65adc",
+  "cnf_sha256": "e3bbb4477fa88a9794c0e742a95907b3a050052b94b7fc1da9ae8a8095b03df1",
+  "lemmas": 1868
+ },
+ "u010": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    2
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "63eda51706dc9d75bae553800e38d54ed3dea9f0ae2ad55ad9c2da8321e591bb",
+  "cnf_sha256": "90de9460b1455b5e26c2b9ad42eb75c6491ce5f888b7cd826ee696bdff20f3c4",
+  "lemmas": 2325
+ },
+ "u011": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "6843ef1bf9f9ab02c540d431acdb757547a2ca2fec4150a700facabc2257dd7e",
+  "cnf_sha256": "b30c27f63dabfe0bb6d371147544d72ad7be3d459069c0a867e1038631ed8215",
+  "lemmas": 1722
+ },
+ "u012": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "c2cdbf0acec2f798970b344eac09a32ff4cdef6a2e7bb5a4ae6e7c4a872182c2",
+  "cnf_sha256": "ca1c4236bb5da380c0b64f8fe377b2afdcb959a6e8cf6d37a20219dd570446b1",
+  "lemmas": 2517
+ },
+ "u013": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "bf53fa973a396b5f5dc3fa18e6c77bf26cd7bdd7f801f55f73a60547bae52a1e",
+  "cnf_sha256": "7a5d6caf1d71c94e28c81bd758f0552c368285bb44da4ad01ae5f120b7cb072f",
+  "lemmas": 2126
+ },
+ "u014": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "d3aced4e79b87115b63760e4ea126cfc09cbbb01c622eac8272808e695facb25",
+  "cnf_sha256": "378658381dabb33ccc3b22606a794019444889b935eaa49ae5fb9320fb75ea95",
+  "lemmas": 2287
+ },
+ "u015": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "bdca13941acac29966e2e0b0083b6f30a76b133a67798fbe8778e66192f1873a",
+  "cnf_sha256": "bf31f0d8d099c3f5c57c80d611b61266d08502d8d22643433dd5f2cec8f29949",
+  "lemmas": 1508
+ },
+ "u016": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "2844d60ad03e27406d0c6c611f3375ec9a673829ffaa18632fdc9fa13aa64091",
+  "cnf_sha256": "a3aa3e23a9eab979e0017fd17a7e1f29132cff126af6fde339ce4801e583a491",
+  "lemmas": 2112
+ },
+ "u017": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "069dc47ed08813a8146dc2c7e34e76bbdb17dcb3786541674a6041546ce7ab2e",
+  "cnf_sha256": "6f32704806748f623ad7d58ec6558515480c1eaecf03ca3ab07020f63e215e26",
+  "lemmas": 2622
+ },
+ "u018": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "3455c78bdd351f64fc8b58648952c48a647943ee19f75bf274d49aaa66eab890",
+  "cnf_sha256": "b17f1897c7a4ba837fbc2a31c36542ea670de1b51ebd0a5b9292bc4ee0bf3e7f",
+  "lemmas": 2187
+ },
+ "u019": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "1e26675900a31314b6afb7ae62bd208d7ac13cd24189fc44761c0c2401894e7c",
+  "cnf_sha256": "9fa029439fb81e6473c26bba501935066a020aae482709b6d8cfc8be22f1b659",
+  "lemmas": 1575
+ },
+ "u020": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "4e630694a85088280ac8c89e0f0a6919e0ddb6995fdaf13e4a815b67203e5d28",
+  "cnf_sha256": "364c507eee533be054ade8367fe09a40824b28a3be77ce3d895554f32f67947b",
+  "lemmas": 2292
+ },
+ "u021": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "233b71ca99b68d150b781189c4279b2ccdc16880bf8ea013fa3787d0177a4206",
+  "cnf_sha256": "e0f0c8d97c4fb1d37bff8a0b277f15e4e02f96ef12985c854b7eeb535f820b68",
+  "lemmas": 2110
+ },
+ "u022": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "5782ff5e299cc008b24bf175c70199d011ded1bd0ea10298c813a10546f3ef94",
+  "cnf_sha256": "424aac819b1172788e66460f6f37d6e0af8618abf5a2815287c58e5857b5335f",
+  "lemmas": 1864
+ },
+ "u023": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "b843e8e3d599a7a8f662adae78a0ad05ef13e1be6da36e7871d5fcc5fae51179",
+  "cnf_sha256": "880510e800d4c7b96602151b4a619952bee6b59323b2d62b5af88e90c5489d11",
+  "lemmas": 2124
+ },
+ "u024": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "19caf5f92947eee04638cf5737ec84749ff731f58e163c24b51ef08b72931e77",
+  "cnf_sha256": "bec8e4da301fc95195b3edbe5c40d5955956d8db1134e3901ab0d8516b2a3f49",
+  "lemmas": 1591
+ },
+ "u025": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "dfde5f36808571a43f11267ce8d461260f940681cdc87072dd7d324ef1fdfc20",
+  "cnf_sha256": "77af607fb7bfdd1336fa1b1a022d59e939941a0134b378816e9fca76be8e7bfb",
+  "lemmas": 2226
+ },
+ "u026": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "b650160f7a7857bff5ce168d28e85c08143bb331f3509b837999ee245c11e6c8",
+  "cnf_sha256": "3ce83d409b2bfe3e522815d71234d8ae98d81274ee7a03d7fddd48b684a7eb4b",
+  "lemmas": 2160
+ },
+ "u027": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "f6ca1ebd823580a9caacfbfba9407427100258887de0c2d872448c1d229e22f6",
+  "cnf_sha256": "cefd0096c8b879e4bffb9193c7fb52f77c243930764d78c95649cf44b80b487f",
+  "lemmas": 1899
+ },
+ "u028": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "ffea335301ba8cffcfcb35dedfa4b04ab56dcbdbb2930a83cf3e01cc59c1eb11",
+  "cnf_sha256": "3d72928521c2fc49e7c332ded7613e97f8a9212a4c30e3bb8da7ad49aad9110c",
+  "lemmas": 2243
+ },
+ "u029": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "pivot": [
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "proof_sha256": "b9aa7998a436c4d95728bfbefe02ec27940ad65028c76ba5ab2f573186eb9598",
+  "cnf_sha256": "f04221fefd16c487ff14f71c6b9e4137df1785530c4286a61706c26ffbeeef5d",
+  "lemmas": 1510
+ },
+ "u030": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "proof_sha256": "1a87865542a331bc7dc68ef45e715c2f6df655d0c8a5921514cca5d96528ed68",
+  "cnf_sha256": "f7e105626a62559e92eec3e07bbf5883a54bfb3dd1ac8265f55372df8b53080a",
+  "lemmas": 1816
+ },
+ "u031": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "de1027456bba9169b88fbca02cd5694ba426f1446637dfcafbf31f12b6439a06",
+  "cnf_sha256": "35b2662182d711c2a35147919b4541fdaa85b2b32c4e82b186671e56973a16d7",
+  "lemmas": 1805
+ },
+ "u032": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "94673a4d6b074240681882128c1434f633cc7681d428f0918a1e163aa36ac5f0",
+  "cnf_sha256": "912e1a5c46c71f9fbf2f255a12e6d4ebdc24d9b9e39ea8aa30c68e80ef117b41",
+  "lemmas": 1756
+ },
+ "u033": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "3b12806843ad5889235a252d9127ddc255f5db9dfb73faa13547c3bee031df9d",
+  "cnf_sha256": "6ca5474876a38bde065574d2d76e85e4ad81fb3a5904f5b97f4995c9725adf45",
+  "lemmas": 1899
+ },
+ "u034": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "985f656d69e979ba62dc92b1718e02c84c8b7b40794d3db5d8fc3de03ababfd0",
+  "cnf_sha256": "394381be53835a8ae17e2a4a40bb5e3693e225c87e6baf4f2221e474769aa17a",
+  "lemmas": 1885
+ },
+ "u035": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "proof_sha256": "d7494b764db23f9cd4b238c6afa0bf96502bde67623168b5a189206bb9209fab",
+  "cnf_sha256": "861b8bfa7e341e83bc470fa8c18be4a0f5e5f48670e86687c9112df2b655470c",
+  "lemmas": 1757
+ },
+ "u036": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "92f50ac8bf29cd95e9943172fb72e15c52f1a99fce45e7cbca935f1164c6cbd4",
+  "cnf_sha256": "bffb71e431b722a48d0e3c6b900c8eb26bacc2b563ad7cc3bbb0996f54ff95b4",
+  "lemmas": 1976
+ },
+ "u037": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "499af0cd9bb8a84d8dd87d33833d41c09e77fd00d88bb6a8c24220379968c1c4",
+  "cnf_sha256": "c59dc13272c2da029faf2b915fd466f5419c402099a927dcd32d2eee855935db",
+  "lemmas": 1915
+ },
+ "u038": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "ce81ea28349d6e507bf50f7f9d209ee7a16610ae1774f5e9ff83d2372ccdbb37",
+  "cnf_sha256": "b9bbca6d5f76715b6002e018131258166516d0cb0477c2aeb3b67a53b5ed306a",
+  "lemmas": 1840
+ },
+ "u039": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "b8605747862cffaedcb18426a617b616f247797d45425fda5c50f5db432489a2",
+  "cnf_sha256": "9ef550d54de9222a246cf091c9f04a05670ba7d886aac9dc2d1a85184f55e7a7",
+  "lemmas": 1868
+ },
+ "u040": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "40bb6d4ebdb8a0cc2d5be1c50f6e5782873f76539e4cd9975fe3d0d4a7c0a16c",
+  "cnf_sha256": "bdc60288c7e630636b0ff12f9a8e8fa8affa76a3c549d2a4f0f311b9fdd97e75",
+  "lemmas": 1373
+ },
+ "u041": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "169737412c73f5aa039c04d705fb80fc7a5f68804b71eb916508828223f0815e",
+  "cnf_sha256": "30a96986368994be96d6c8db0d7ea4f9c6d73d7e1eb3fc8ff8b6e8963cdbd7c3",
+  "lemmas": 2300
+ },
+ "u042": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "b0bd0297e29621e850c7d58c1b9f52b7cf9005f584d8121bac533e94b57a1be3",
+  "cnf_sha256": "27c7b4daab7e4a8e8b0c3f0351723aa7e37554b39904b343b48c44d95831f489",
+  "lemmas": 1603
+ },
+ "u043": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "dd78ca76d7bfc8d82ea8a6198f3462b1d867df9b5a07c05cd2485acc9b702a50",
+  "cnf_sha256": "f439bd54c42cf4c6856eda577d8c922d24ba8b8ac326ac1c42f7bfccc2dbce09",
+  "lemmas": 1983
+ },
+ "u044": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "e7e79e41fe5c7cac1a80e8342ec9be4a56b5c09c517a0236fa6fc46d6926c195",
+  "cnf_sha256": "a00cca0b910e5de76c8c205a50f4b24e8a2b99ccc1609924da54ca0766fd9ce6",
+  "lemmas": 2897
+ },
+ "u045": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "da100e57d4ba2175c343ca31c66ee6b666bd48482899788e88b77633e23a09ef",
+  "cnf_sha256": "a4bc57456a63d83da556851aaee632470fe24a66753481e69c837e413c826813",
+  "lemmas": 2407
+ },
+ "u046": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "e78f53af62acd436fd91b7343d4b02968b5d566af3c5ca97da4165ae0e33ff82",
+  "cnf_sha256": "d6cb33fb0dd2c2ef1b9a86f5323adb5eabcb912dc30b393dace07ec885dc82cf",
+  "lemmas": 2820
+ },
+ "u047": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "2b5ef60558649ceb403f795dba7a657165e885b642b3ff41a46328306e85fa30",
+  "cnf_sha256": "cf6b122291255faf760e3f2d96cb03b2b87b86be6858cd1c28eaab8692ed9be9",
+  "lemmas": 2225
+ },
+ "u048": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "4eb0111b645d58ba4fe8ba50d6300a24400351add37c353170ad452cfdf201eb",
+  "cnf_sha256": "89ef6e5d3c53bed252cbcf937a8c564045c52db142969b9c6bffa489a3ad9f3f",
+  "lemmas": 2616
+ },
+ "u049": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "b98cfb82eb96693e4d0410daeb8fbdc7867522320ea42b5e75acb22c45448f00",
+  "cnf_sha256": "90195c5759ca2d9ae31e9f6f894bee4b7cf160f282acdf69831941936ace39ec",
+  "lemmas": 1793
+ },
+ "u050": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "af1ea317468256d4ca9bd84de26f7b8eb43579b029090bf26437ba310281b673",
+  "cnf_sha256": "b63cad3b59fffa3b6ba99cc488682631f99d35d118e7b7eaf33342698c49bfac",
+  "lemmas": 2600
+ },
+ "u051": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "711001062063571b4c9e4e04bde09cb39a112c149809c255b449a8386ce2afd4",
+  "cnf_sha256": "beb7ae2367057f76dee021d8abb00ea7d900284bb26c4f238e7a21e0b5284887",
+  "lemmas": 2016
+ },
+ "u052": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "30d720a13f2d0cfb6aa22c78e48c577b9b47c45c3472fdde3b4067df6e50d290",
+  "cnf_sha256": "471ab1aa06db590a5f18bcfa4640880a81aeb36ba5166ebdb0b765e31645dcd1",
+  "lemmas": 2395
+ },
+ "u053": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "28a4f8c1c64e6cac55d8172fcb96609e3699d2112a3084d6a448723b66e5ff23",
+  "cnf_sha256": "3db2ed73b690243ae3f4c7718180aa33047fb66118c80bd1c496cf84235f2555",
+  "lemmas": 1859
+ },
+ "u054": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "ebfb8e47eeab1cf2a9fde800d51d33fc767b4f64eab7edcbccc70581922ea8cc",
+  "cnf_sha256": "142aecc8b8b290e5d27911e966314b6666202e87219a945a73e1166ab0ecde62",
+  "lemmas": 2323
+ },
+ "u055": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "3c2866b2f0ac2e72381f8b06fdc75e7596bdec1bddc426223dd10ec6b6ad55f9",
+  "cnf_sha256": "f90a43258c8e6419e455d4dbbacbe52edfbdd563b39eec46ca6ddeeab8a5052e",
+  "lemmas": 2233
+ },
+ "u056": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "proof_sha256": "55842507bb0d494a7f2dd9fdd0af20ec823a830ae8c65819870d25aef865fa5e",
+  "cnf_sha256": "fb883c5d0499ba3bc9ab2f3a2187ee43192726234f5c07f15c20c3188634b4d7",
+  "lemmas": 2088
+ },
+ "u057": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "1325271bfa018a54e2e1cc93f388f7157066b57cb2cc14842e3f696b9716a0b4",
+  "cnf_sha256": "339b2522cd4c37388a1f48c923a2a7a0817f393ebeca51b4eaa5feee9cc4d0e6",
+  "lemmas": 2254
+ },
+ "u058": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "cae507e9d6d3060ed7d6d26b14f5fc9dcfca653971fca2e236dd3249bdfab642",
+  "cnf_sha256": "801dfe6c873e65c282d23c118f8514875257ce8bbc5070603de2186d0c0b0c67",
+  "lemmas": 2026
+ },
+ "u059": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "5ba4b68a2848387896592142c9afba6acafffa4e0cd3d9147406d371377db80a",
+  "cnf_sha256": "9375f19049cdfcb1413059b7319cd556c62dd629e18c7979a4f764b62c2a6c9f",
+  "lemmas": 1863
+ },
+ "u060": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "1219f60118d9de7a30955beb0b667f704241a675dec1c069083dda0feab47d0d",
+  "cnf_sha256": "6c7aa428454691e85a0ca630776e471fd6df7a88324c64554e2ef444b664308a",
+  "lemmas": 2044
+ },
+ "u061": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "c50846a1aafe89dbb9bc498bd79d7ab3b8fc344806b38b13aaf2952a72e53bca",
+  "cnf_sha256": "224d759623107bd205c83989e89e339f33defd972fd0d5eacc262aa53a8ed18e",
+  "lemmas": 2926
+ },
+ "u062": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "01d213fe4f6a52a891d0d511b57f883189f36517ce2b83f9d1b15d181f2fdb44",
+  "cnf_sha256": "af1f4ec3705c86c5f95f06d5a40817794b20827a929bd03a22ca433e2447eec1",
+  "lemmas": 2580
+ },
+ "u063": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "5e21ea10cf1022f1a7504becdb09aac20b5930286134c4c9b34b56f77da9bd09",
+  "cnf_sha256": "e9113c73dc144bc142de87a97d42581a66a92ea41d89c8dc0448abe7d652ede0",
+  "lemmas": 1862
+ },
+ "u064": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "3619933b2e245263460b48cb6ed1d66e1c69e493f15b9ebdfcde784c53a48fd7",
+  "cnf_sha256": "23932b07bf9cffb892a099876ed380988a548c2b69444a82328467069c143b9d",
+  "lemmas": 1694
+ },
+ "u065": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "ef6c1eb86c651d527f2815d328632e4716b92d349e47a3f06375e751bc1e5bf4",
+  "cnf_sha256": "438fa76ba213943087c2986f2a8983e2b1dedf0001a66a172b7ad6a50f76cc2b",
+  "lemmas": 1948
+ },
+ "u066": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "4a5b8ca636469a2250a13436776c19914e13f7b3b434a724d6639a74c45e0bf1",
+  "cnf_sha256": "589bf79f701a41edbc53776ea95848c37873d84842688b4289ba11f5543cb95c",
+  "lemmas": 2076
+ },
+ "u067": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "d48b8fa8b73097d9664a9a13ee453ba97cd2175537e0155b150d18e110cfb8f0",
+  "cnf_sha256": "e9fd51d921bdff8912e0588358f36ff9c09571dd81ad899452bc56fc75d74e3c",
+  "lemmas": 1907
+ },
+ "u068": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "proof_sha256": "d3093872174b9f70e900600e111c9430732b19123d9197f76568bd74a2176fb5",
+  "cnf_sha256": "64a6e3c00ff956711cc3f4715cc02a0a8a3511b238f7c31059823c0dac9e6fac",
+  "lemmas": 2472
+ },
+ "u069": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "57430c5a912f81a5958ae9e19ef3db923afb8b08414418762ad48fb1d057905d",
+  "cnf_sha256": "f0f7046c0db422d122d1afeabc5307bb6e4480cd4be1d137d079415cbaa56ac9",
+  "lemmas": 1660
+ },
+ "u070": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "4ff798939ba3afb9b2e4f7ab511aaf55706593ee102885edab78cd93e0d75502",
+  "cnf_sha256": "27c00104ec35ed86016c7dd1081c94bfdcd550a49e6bea4be6dbb0ec4c8e2cc7",
+  "lemmas": 2426
+ },
+ "u071": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "013982fcf4e53d69bf52a07f8b9b2b54d701b12ce473b33ff4fc90542faf5765",
+  "cnf_sha256": "9052d5f0a2f0f3828ebbc01e4b0cb0f9c8806e9e72aa9d5c7cea1592021d7de2",
+  "lemmas": 2190
+ },
+ "u072": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "4925d4a08b6f6318a4150b9953b834a7733ce66068309b2d45d83f0a854b5f3c",
+  "cnf_sha256": "b37fd90130a749f0ccecdd5c4cecbabd8e9edfd575102aef3436316fbb463b0d",
+  "lemmas": 1827
+ },
+ "u073": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "fe029f1e263fa6e20fd4c5a6b7b549dd98f1514182e4071615ec3ad3ca1da01e",
+  "cnf_sha256": "37d741a132b126f1a9a55377f953e048875aa3666c85ab700b1e27d58a1caf8b",
+  "lemmas": 2864
+ },
+ "u074": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "a9f8e84d3d824b23064344f8888afe19e378d2cd55cd4fbf02beeb0d4b4568e8",
+  "cnf_sha256": "d16990a6f8c0b0dee314aeaad3c71201a7ae5892aa4bfcac7187562cef0f5edc",
+  "lemmas": 2209
+ },
+ "u075": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "54d33e3bc0547136e19d6c53d5a302dc478ff78ad56819379590e84d1177b398",
+  "cnf_sha256": "90a801bedcc835fc81f98c2d0186c0f29f4fc4816993f92e78ac4be8c50df818",
+  "lemmas": 2147
+ },
+ "u076": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "56f09f114810262b61fccfd309a595daaed08c3d46cfb311f24a66fda23a3205",
+  "cnf_sha256": "3acb0168cace8b43d3b15155844f231e3853bf413d377deda3bbaf9c64ff89a5",
+  "lemmas": 1931
+ },
+ "u077": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "be3c5a4b11d60235ddff6304d2dd3d399e3ccebfdfa3b1410f0c7cc5a39c02c1",
+  "cnf_sha256": "066329c7bf2e4e90091963ec5e78b15af6dc19f0ef7b9e5d0471b46c52b23047",
+  "lemmas": 1801
+ },
+ "u078": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "1188b1fdecbc9e9adb2b99e03c2213442b60a8b376a0505edba3b1e3f398fc50",
+  "cnf_sha256": "d682a993af72b63148f5e2142fba199772a353bbb47458d27e3dfe9972917baa",
+  "lemmas": 1838
+ },
+ "u079": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "68b801ce8efda11c9e3657cd24f6587e1a880b22b2a990e45d7398545cfe6777",
+  "cnf_sha256": "0bb08c22adef9cf01f259c0f4ffbec87730b4f4760862e2808478e4581e6ceac",
+  "lemmas": 1949
+ },
+ "u080": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "f36d92511f8ba144e89fb6ef4588a185d1d8ea1e72090e10aebb45d6b721c658",
+  "cnf_sha256": "b30b35dd170d1c5c965dfbc3cb6471378e6efc56d5c20ba4f223d269c9147b48",
+  "lemmas": 2772
+ },
+ "u081": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "c0b8d87f5bd1f10ee345b60fe9b8453774be4108a006231c95e8d6c51371cd2f",
+  "cnf_sha256": "1c831e274d07d96ba8791ad2d5250aca182bc5f3a2bbfb1983f2df65c9b72913",
+  "lemmas": 1967
+ },
+ "u082": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "756f1776e41b979bb8fe6ec512e8c69b729941eaa4b6041f1407bed899f5f762",
+  "cnf_sha256": "36155f96920f76645bf9d190b2068b11f6219c5b137140c66f9ee1c30776d1a5",
+  "lemmas": 2224
+ },
+ "u083": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "7fa44a67f1dcb99a81b42c3856471fa9a444546a1cfe973ea7d46b1148650fde",
+  "cnf_sha256": "884212f5eb9f8400b78070439d4991a8b74005eb775652b4f4aa93c4630506fd",
+  "lemmas": 2370
+ },
+ "u084": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "de3d3ab6adb43fc4fca09fa49e5af7aee495788e2a75bed53386f4f1ada97904",
+  "cnf_sha256": "33714a35b2f4255c589c509556100a52b24c010be2ddbf63cbb7ce1eebaf39dc",
+  "lemmas": 2087
+ },
+ "u085": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "44fcc1215f07a63872d6a2ab6a6c74a07fb5f16f1dfcd696ca60ae1821e5e05f",
+  "cnf_sha256": "2fa4c4599395dd19d8aadc2fc99de4487ea63ed3f4b12edd103507d1d69cdd83",
+  "lemmas": 1602
+ },
+ "u086": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "5a386642e827de1a9d19ef23c57fd4ad17db8e0e70bea08cceaf359a5fdf7391",
+  "cnf_sha256": "6fd570d0a9a925962c87bf1cf0262f6ecf24f731aa42517f63565bbc40e1af59",
+  "lemmas": 3079
+ },
+ "u087": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "7ceb6d2562d3143c252afe0c0044e8e58bbb5f0a27176110e20eed61391b8f8b",
+  "cnf_sha256": "8ee7ecf271d2c033be084e611dc2a1c6cda853e50c4f7c69b22605d91798d7db",
+  "lemmas": 2339
+ },
+ "u088": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "fc9ad13d932b84d9b1660d5fc6f07c3ede239d7da78beb3c5d749f218ae962b3",
+  "cnf_sha256": "95bf828d34152f0ec65cbc1f6954bb1a3cbc282fb737dfcf89cefd5547b88af9",
+  "lemmas": 1882
+ },
+ "u089": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "97e57291b12c064c549de341adba66c90f2ac3bc3357e135a9b7733c6c1e4995",
+  "cnf_sha256": "c59e35fa3debd4f36eaaf73b40df2132a4a02c7f80271694575c5dbc36b40f17",
+  "lemmas": 2467
+ },
+ "u090": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "5f2bf165d1e3910df14730ef218f4b1a082f411b6f220c9ca3e4cf6ddeb8fe22",
+  "cnf_sha256": "09d738fe0861c31083aa4164e28bfe11fde9c165c2a759769874145dd17f2ada",
+  "lemmas": 2151
+ },
+ "u091": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "21f2f8c720c55cb79f0212a4fc98057ff887260f13d53580ed784d3d4ff37ddd",
+  "cnf_sha256": "92a69e6bc6b84172a500d357cc2bed3f87ecd8406b14b5e613348f608c7ccd68",
+  "lemmas": 2539
+ },
+ "u092": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "proof_sha256": "9eea2af445612c1b74f56dbef00d1820f3a467b50611238eb55b04898f95b92c",
+  "cnf_sha256": "b3f8b2bd032c45498cd86944dd8bdf1d381eca0ed6f5da1dad3ca68ca3f8f741",
+  "lemmas": 2609
+ },
+ "u093": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "3dc3e73005e0ad8855e216b7fa98987e75be28ab6b102de205b5daed543954c2",
+  "cnf_sha256": "25a3d161bd07c566083e3f92aa0aa84845c6579897ec0024f02770576329906c",
+  "lemmas": 2387
+ },
+ "u094": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "25b82a493ac53300d81f281542272a59b74b52336616e478c778a8ca4b5ee8e1",
+  "cnf_sha256": "d98ea644970ba3eafddd1e69278a91ae7b1055362a316f4a88215e3c7e367396",
+  "lemmas": 2679
+ },
+ "u095": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "7ec99d6fd91d58a705a5659401cce6322d06e925411bc75446439af9a0fb3122",
+  "cnf_sha256": "4d10a0630e6d719d9c9584a22c398585e79fa0ed1f45bd42c3ac88848ee9aa4c",
+  "lemmas": 1715
+ },
+ "u096": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "f17140edd084ef5ed6bbea08276fe01a52834c6dd44e671f572a759cf849d269",
+  "cnf_sha256": "6bed49f771123d192e63f3e068e25e64dd27d6feffca201a38f8da71e4d7c7a6",
+  "lemmas": 1409
+ },
+ "u097": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "56e0a9df4043417cd36b0e41243223871ed6dbec5aa909aff9dc8a3c042e9b1e",
+  "cnf_sha256": "2e79ef4fd09db7e40acf60bd0b49503bb888d093f52d79c97bd743acbbe06c6c",
+  "lemmas": 1957
+ },
+ "u098": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "5ca62ce718d0fca6fb791824b3ceb889054cb5986cec4f169dd170c2993350cf",
+  "cnf_sha256": "e92310a82260c39c58d93508466fe7f05c3a7f44f3792482bbfde6e758318b2c",
+  "lemmas": 1943
+ },
+ "u099": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "1ca7d140d28a1a785e61c122079d5c9220dbdba86b741be2fc11e27b2008dee4",
+  "cnf_sha256": "57591f527d6c222b5b04a3e8508661d5999d8d6c1aec42b7f5d0f45d325f9a07",
+  "lemmas": 1898
+ },
+ "u100": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "cdcef5b462029d7106e0651cd26edd1b3e541285da82e42bf637c56162d8ab22",
+  "cnf_sha256": "0138974eba0e3fda982e9e3c2f14e106f6c1f50cd09de773a1aa07be7f28630c",
+  "lemmas": 1925
+ },
+ "u101": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "5a3a626c3924d6356c199ad659776af42eb28190f269f9a81d15a9f046595394",
+  "cnf_sha256": "0413678286a6f0ea32d6e143fcd2f1283e3701e61a696da9c0a99af2ae71e813",
+  "lemmas": 1739
+ },
+ "u102": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "9f600decf969f3cc9718043e3297e54d2c77778ad9df07eb150faef29a7ae476",
+  "cnf_sha256": "f0d1b2fa37d8ed34c226fe7ba89b89cb56cbff49d0b5c4a00c02cda94ba55645",
+  "lemmas": 3073
+ },
+ "u103": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "5a27b93bdb44ab01c24042b80060aaf82739aaf52074ad6a2da9d17ab4b91505",
+  "cnf_sha256": "284ed2bb64a8ad90e35f4f3559c09874d836d43ebfb83cb96054f7c8979823d7",
+  "lemmas": 2244
+ },
+ "u104": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "9dc0df281ad468c0920554a973da5bd653bbc9aab824ace6153d30b2e7d42581",
+  "cnf_sha256": "930cdc5258a553c1b2a83007bc7dfaa15050e0f9a54aa59897f9923241494bb9",
+  "lemmas": 2449
+ },
+ "u105": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "42b41396ed4379126c64b22b92c2f591d6c6f716fd7b43426e9983bd51c3e755",
+  "cnf_sha256": "43f10dec45f3bd55f824bccbb02adde4a3181876eb26c21191cdcc7f5409ce74",
+  "lemmas": 2349
+ },
+ "u106": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "1da5d3e57a5b9c2f70b24693779d21db8bfa2ba328b9e7e2d94caf237f305ac9",
+  "cnf_sha256": "dd83723923c55e4132de7467a3518ea8458ea0d26fa6753bca9ecc2ee7086217",
+  "lemmas": 1531
+ },
+ "u107": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "b25b3e58630a4ef7a658783ba2bee55d5a301bf4c75242c2648406356f481e47",
+  "cnf_sha256": "5c00ef2b826647a40a1262615b1421a54860eae62b5579f7048ea493f683dc74",
+  "lemmas": 1929
+ },
+ "u108": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "3d262b3fcb9e0ff7f40d54967519706c8e9fc93ea352c64c4b2e1e06ba0f2076",
+  "cnf_sha256": "f53781e9ec421660b1946746aa8ad5a2f06861e5072be22375a2fca9aa5f5311",
+  "lemmas": 1540
+ },
+ "u109": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "347ec3f1efa0adb78504d09173901231043f3a47716126820e4c71a0c77ba4bd",
+  "cnf_sha256": "2345ff32921a764c459f6347f9982522d56cda14f91f15d16f4418f653c9899b",
+  "lemmas": 1736
+ },
+ "u110": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "51d1c6bf70919894e04585870865fa744cfcd037712589ca5ae52a242ccbb6a7",
+  "cnf_sha256": "3382de80a211b33b16d50dfa4b6761148959603f1c1ba4f9b58685344492728b",
+  "lemmas": 2052
+ },
+ "u111": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "f605cdc86497b78a9390588d0984ba365bcc7086e25026a4f152e754edf53b58",
+  "cnf_sha256": "f4bc0fd57503ddcfa6f3788c31e710964b6f85da36aa697a70670f97888bce28",
+  "lemmas": 2192
+ },
+ "u112": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "2e21dcf42f54343e4bd7b3882ad8ce6fe4d1e514d1c0c55ca113a04c75e754ff",
+  "cnf_sha256": "b7410ba7f26f2dafd2597ff23d64002092d1cbb8e4966955cd832c0352319cc3",
+  "lemmas": 2137
+ },
+ "u113": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "56473ae8376e78336c5d2d8be672bc58a1de5b4c3539aae1479873f3156dbbf8",
+  "cnf_sha256": "72e25d396fe4bb1dcc70388e5765a1584edaa5971eb6eb85db3eca94ab999360",
+  "lemmas": 2554
+ },
+ "u114": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "c766d0bc4e3fdc22369d285454de532dc09338b768fc119d3dab08d50359c410",
+  "cnf_sha256": "5e79a575bc51b7facead6193eab96327b728f8741308de8f0899d4afbc452cc1",
+  "lemmas": 2389
+ },
+ "u115": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "5cfe406a70be20d4ec9bd9767448d7c5b61f64ea979f665aece64940a3ad050b",
+  "cnf_sha256": "8fc9651d2ba37cc9283e26b72a7482589822a4c7e96bb6a1254e73bf1680f5c6",
+  "lemmas": 1726
+ },
+ "u116": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "b21ae4c476159526451e5ce27ee9c767f529a1614524b1df8271ec3ad0ca62a6",
+  "cnf_sha256": "69753d4495a779d3ae93b4cf9c1b2626677a8821469b711b37beca5df739374e",
+  "lemmas": 2204
+ },
+ "u117": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "068872457268f88159c88754ca7ba5f4153123ab504728e4969ac17b6f295d94",
+  "cnf_sha256": "06db824f20a6bd3c0739a3ff9f680c2ca4a3a0acece39f56a3593b29f0b8d6a9",
+  "lemmas": 2098
+ },
+ "u118": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "3a8b87e1d6f004499dfa866553fcf6d85281e7a388d8c419b11a0686fbb12dbd",
+  "cnf_sha256": "5c17cfce239522abba3ce5611162605abf2b41fd6ba9b41ac65d2d3449b2c18e",
+  "lemmas": 2134
+ },
+ "u119": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "b6cccd56c78f2e2f2e65b3e32e1ca457a9c88d11970d4f8d691d530292ae4a9f",
+  "cnf_sha256": "83e7f6b856c3356076e2205a5d0c3b742a82213173f0d43cafba7c27251227a6",
+  "lemmas": 2226
+ },
+ "u120": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "6a31f250cd63d9eb780a4f59fa054be396d78c81135bd6c8c76615d3f0f01c8a",
+  "cnf_sha256": "0085f5d22dd5a0822442992e32efc1f79506e68fddb89eff65b5fd66a84c9526",
+  "lemmas": 2891
+ },
+ "u121": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "f18620a721f4e888dd39ce3bbb83c31f9b65bc243a51a7aafbdaf8e295d732a8",
+  "cnf_sha256": "6b0875cab383b9219d5fc38808315b3a25d9772d1839fe2375fd9bae03c36937",
+  "lemmas": 2955
+ },
+ "u122": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "3155d13f12e3b9c33cc6678f5b69cfcceebfc760659ab2cdd96cac1349c44a7b",
+  "cnf_sha256": "f7c200f7de29d736f7af087e3700387cb9c236d1843cd0cadb9339220d32d74c",
+  "lemmas": 2138
+ },
+ "u123": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "f68e8427df25b2484c6bb30895bc8c270120aa0b88212923e7668e28e64078cb",
+  "cnf_sha256": "4244005c40782130ec6d9dc92d113cc63ca674d5b6ee97738d6ffec7ebae04c5",
+  "lemmas": 1882
+ },
+ "u124": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "899af33585bf5d1b292d20afa90438502b6d1a7483db31304c6bd03b6fd33c9b",
+  "cnf_sha256": "267d89ab932da3b844dd5002e059ddf10acbb525c6ae3e24bcf2786264f959ad",
+  "lemmas": 1720
+ },
+ "u125": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "fdc428e65c9afb69a3339c1c1706cf611fce39b7adb2f3ecba8093bd39e2fa59",
+  "cnf_sha256": "c30936a46bbcba343cf5de71faac5be1db1def869558dc0bdb9c8d270fafa059",
+  "lemmas": 2419
+ },
+ "u126": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "proof_sha256": "06e24e0fbda494e382db073f6622578a838c4df78bfdaef9bc8c70b42efb585a",
+  "cnf_sha256": "851752c8d0d67a83a67fa726466006f03406beb1a71e01f9008fcc5fe211c699",
+  "lemmas": 2775
+ },
+ "u127": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "129b0e2420406f5ce5a899137d37003f870d1878b6f22c6c6f1825f9aee7c412",
+  "cnf_sha256": "222e86e64c117866086f80c35f373b9cb9f73f0801cc8771f80897f8bc5fa0f2",
+  "lemmas": 2864
+ },
+ "u128": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "a650a2a5fae5f2a0927c806b679dca7937789f9472c4c4a90df2063a1ff27cfb",
+  "cnf_sha256": "74d4c158444e99d9379566a0bb94698a7d1996433675ac1a95ad67eefeedfe8d",
+  "lemmas": 1625
+ },
+ "u129": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "dacd26d590463af3688fd39856d56de4aefe84ada8f715e60d4b531791c246ad",
+  "cnf_sha256": "14ee17ddbef683f013673921b07f59ebe9d37f8e517cef3df3bff2e5d5a2cd5e",
+  "lemmas": 2273
+ },
+ "u130": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "875055e615a002f9f5eb8b8a29649560e78ff5ea7e7678542f037864aa45eeb0",
+  "cnf_sha256": "9fa84a63c9eb44412a3b47db400598e181ce0ac6aa67c68c102ef8e1063307c7",
+  "lemmas": 2299
+ },
+ "u131": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "f628f3cad3e6af006f1ba009374fd9c50c015bdc05c4d48d410fbe0839501a40",
+  "cnf_sha256": "8d18d5ab6b2b1737c6e85b2c5096c7662c47f0b4c51ab90a93566c9513309cf6",
+  "lemmas": 1644
+ },
+ "u132": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "d7ffec5e31ac99afe80954a665e1715d0a69b3d096f75b2fb280e25ad6a44276",
+  "cnf_sha256": "b5c261a26c594324655c1204bd94afeaca614c7d484654d41e801985183719ef",
+  "lemmas": 1508
+ },
+ "u133": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "0d9a751da633a269d47e89ad7dcfb8dad44ff0db03f8e91a473cc7114fe29175",
+  "cnf_sha256": "f385fccf2d575dcf959439a64f51f085f6d51b2db47287e9a2776cfe64c2ea55",
+  "lemmas": 1622
+ },
+ "u134": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "8791a10f691ee85c4eede04b1ab284ee3c9d8103fa86957dca0cb901e10b6012",
+  "cnf_sha256": "00b7304ca4c91682a6a341297abff3a9367135dc43a45d2a454209946133d25a",
+  "lemmas": 1898
+ },
+ "u135": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "bf5350479e31ccf902cc27da515de9d5de69ab9fd14f5397734f0a5a8496d453",
+  "cnf_sha256": "7d312948cc089b4d76ab4dae393b4598a6ca497009b2a48bea29975fe2d38bc0",
+  "lemmas": 2288
+ },
+ "u136": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "87ad129c8954a5f6b9ab071092c1d432dd31ffbabd8d3015206b9c5bea0fce45",
+  "cnf_sha256": "7d6cc56ea9a1a33f6777a8a500cc8011b3c002363e4420e100762b61ab472e91",
+  "lemmas": 2480
+ },
+ "u137": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "72108d521a1f085f0b0eb367b1b819fa4936671ec76b8223f6aa914e7d30ab32",
+  "cnf_sha256": "dc8bda641b879196ad571c0c7b4f1fb6d749eab7bfad31579b87a8a4603a1242",
+  "lemmas": 2989
+ },
+ "u138": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "b40b48ab85f27847b66134e9086a282123aabfb231e84470d18dd70fbd10bf58",
+  "cnf_sha256": "493452c63bdc89c621df54a05d735703448e6bacf07105088ba2c0396399b377",
+  "lemmas": 3067
+ },
+ "u139": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "717d506a9e9af97b4797c17d40ecf2cb55bace11adb52e0e3cbb72721752129d",
+  "cnf_sha256": "f0ac422e6fe935353aa7aaab6f06c1cc4cd0936d849a3122b7466310e3917115",
+  "lemmas": 2171
+ },
+ "u140": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "51dfe5d9fb40c0295483153d01044ce2cc8de6a81a087251975901bfda603a1d",
+  "cnf_sha256": "02bb1f74e01621a6f847d928de54857f546d1c717c6c9cf8ec20f889de26f8c7",
+  "lemmas": 2548
+ },
+ "u141": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "074c9ff253fb0c538d4e39aac45414f045332dacdeb93c8d4b172b42f97ffc24",
+  "cnf_sha256": "2333bbabeb48d32b6dfe821400fa0dbca8f999851df27351822d148bab056e02",
+  "lemmas": 2197
+ },
+ "u142": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "de36d43cd3ecde77c5ecc4c503b3e345f5aeff7c448a6c085f2639d209f00cd3",
+  "cnf_sha256": "e5d9edd4f908df660a6bf576ee446e071d5c5ee40187226a69c2433b97e58a3d",
+  "lemmas": 1675
+ },
+ "u143": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "0c6e1ab8cd5fae9a5063c3724df24166d9a8ec45c24544f5124da8dec67e71f1",
+  "cnf_sha256": "e8a3b177930b2eeb1f51419e972e138f92e6427124efb4f269f8422cdc67c473",
+  "lemmas": 1799
+ },
+ "u144": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "b42969cae2e9c81cfbb6637f0d2e4115ad5246fc9e7af043077b8f383a397c65",
+  "cnf_sha256": "d3cf967e2e353c1096dfa88b67ee9e77481ad3e7b34bda4f4f8cd9e5c9ef3137",
+  "lemmas": 2283
+ },
+ "u145": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    2,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    -2
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    2
+   ]
+  ],
+  "proof_sha256": "7d7810b9a2e9df7fec04c382f4335d4e81c088d81a8f755218494fac94098e2d",
+  "cnf_sha256": "72c006a7188c19a32f45f7c439390a0feb0904e16edbe2e0eb29e7e1f315c6a8",
+  "lemmas": 1931
+ },
+ "u146": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "9cd6f3b44dc9efdd893f9ab6529300cc774673f445956b8b17e0b25edcb562da",
+  "cnf_sha256": "b49b36473ad9daa2cde6305a86678022ab0ac1f8de16be9f8a53128cead9fe74",
+  "lemmas": 2086
+ },
+ "u147": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "b51f2395e2f0bbabf470c754b3b236f5273fc4ea0d19a2d2f5909bc696749451",
+  "cnf_sha256": "89388ffaf049a9971be15a8e94e8aa86c8ab3358226f6865adc934dcb0300ac1",
+  "lemmas": 2159
+ },
+ "u148": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "8c5cca7c2684aa150649b1de165400fd661ec335298eeedc6c9ff793340aa6a7",
+  "cnf_sha256": "db77b9ddfe802635e70f8b8949dc28e34b5c9eef7999530a72c92ef844578d5c",
+  "lemmas": 1445
+ },
+ "u149": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "ee34913cabffc26607ec5aa2cbb7f8d22cd2f31f65b93b5e6b27bd639e0f4068",
+  "cnf_sha256": "ac4acd41afeb97a92daadd1dd0d391d08daa635cc38cd01839001101b2841476",
+  "lemmas": 1378
+ },
+ "u150": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "06e1a9180d34197f15cdf3eb9af4261ada8f972a987f9c1576fc25fed8d2947f",
+  "cnf_sha256": "8650a8ee815a002023bb977fff9377f08000d86fc4c21248c63507a7e6899ddc",
+  "lemmas": 2319
+ },
+ "u151": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "68e61e287fb2a5a5299fd693dd937a23daed71b0d031ef7ffbd837093a081d4b",
+  "cnf_sha256": "d8a7baaad3550732cb1f62bdbc815d1baa6f9cbf5bb73fe4e1cd8798154fa0ac",
+  "lemmas": 2496
+ },
+ "u152": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "8afb53512d1ad4780e61d6c3cebcffd5fff65f23b3bad677f2eab6acf7e17294",
+  "cnf_sha256": "816c272c5b9d4443cbe5620a42809ee72631ddcd9a6bb0ffa2b5db59dda1a3ae",
+  "lemmas": 2212
+ },
+ "u153": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "92c30803c0b186fbacfc744b5bafaa5614f232ea9bc09697af4bdae0c67c7b4f",
+  "cnf_sha256": "7b9bf62e33000f3e8151b2786de741ccdd6c1ed3ef4f25fc7bf97f5356cda07a",
+  "lemmas": 3168
+ },
+ "u154": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "f87dcdf4525815fa4c44a6badee692080c62be04c54333cc8dfe4e3ddf764bad",
+  "cnf_sha256": "8bffd3b9d2852125c4635bb1b28b422027b727c85fa74a43ff31e54f530b401d",
+  "lemmas": 2277
+ },
+ "u155": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "0a5eb77b46f80b1cb4b343c2bc9611f05a01970ad04993b07a21bc882c4f471b",
+  "cnf_sha256": "df3fcf248740680ca5dda507a94f0d060fbfd9d8515d8c69787296575f0aa393",
+  "lemmas": 2045
+ },
+ "u156": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "88c0bfc068eb2e340fca024aea953eae0f5efb8bc036bddcc6d1c1d009097515",
+  "cnf_sha256": "368a02ee13545112389d5f898a50f1abf00aacc38afe0a6a5d309d260270c578",
+  "lemmas": 2976
+ },
+ "u157": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "61108c2037ad6492b8fed8473aeabe2e5ef46aad45672fdd3cc4f64b5a6cd893",
+  "cnf_sha256": "3359d58741961ab1f1bef56c662c407fd5ceae96823944cad6a9ed912d87d6cb",
+  "lemmas": 1879
+ },
+ "u158": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "088dd0a2fdf9fc78731997a85fb82e929e8a48cc7194f8f51b4ec959d214597e",
+  "cnf_sha256": "8496a35070237c340cfb65e874ad8167029a2a518bd096729ec047faf479f19a",
+  "lemmas": 2612
+ },
+ "u159": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "d570d0341915040f19bb0d6887af0d1974dd30a971e8cff24bea237d6ffd8018",
+  "cnf_sha256": "4be29911e3306868b3253bd0d9cd9b6a72f23da62086424f003cc7ab3dc00175",
+  "lemmas": 1986
+ },
+ "u160": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "04fcf30ec89f3558fb2aa99b7f0c2356063c89b670f3bbdcc3f8f5d6b2425bbf",
+  "cnf_sha256": "0bfc7524b631ea3063bf857406a28a885d8ec1defaaeaaacce57b1145c98921d",
+  "lemmas": 1802
+ },
+ "u161": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "proof_sha256": "a849909a75c120e2e9949f4c31cc3e985accc9c8f86dfec8809fca0db49b544c",
+  "cnf_sha256": "4d8dab258b18bcc07f50e0dd49e5bb4d656fb61c4cafa97acc424282fffb9f0b",
+  "lemmas": 2414
+ },
+ "u162": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    2,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    1,
+    1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    -1
+   ]
+  ],
+  "proof_sha256": "198a36679323c72f148f5aebba7433a954e1a85fb3b25c923215226d4451dd98",
+  "cnf_sha256": "d4befb0c9d3286517de38ff4c4f1970a68772de5f02a0f8838bbc5f29fc91581",
+  "lemmas": 2399
+ },
+ "u163": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    -2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "8f2734406db9c17cd606d2547829b7758eb09ae5272fb87ff48b92455f7bf51a",
+  "cnf_sha256": "2dd93e3cffb5686c92d15a7c3716b83199c160ffcfc12fa766edad4cb7806fdd",
+  "lemmas": 2051
+ },
+ "u164": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    0,
+    2,
+    0
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "deb4b2208871362ab015af1740677fb66c9fca84ad9173c07ed07f567cfd7150",
+  "cnf_sha256": "6ffb7a37d4e5c7f65d2e35b192b9a9564bac7d945107616a7f64d63e6633bd39",
+  "lemmas": 2943
+ },
+ "u165": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "d16ab77251417d74b8a92931272b09c1b74d8dfe529b08672305002bd75a1c1b",
+  "cnf_sha256": "b365e63804999f8b10d38724913ae782edc42e865ca4530391b369d138790731",
+  "lemmas": 2821
+ },
+ "u166": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    0,
+    2,
+    0,
+    0,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "6798a6c62ebbb1f3dfb212956106df8c7eb5ae6000cee5429987f41f44dc2004",
+  "cnf_sha256": "e5f07f704ae3e9164721ded4d9841029c742bd538aa6162372b042ecaf7d0d25",
+  "lemmas": 1889
+ },
+ "u167": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "f5d7d72337972b59e148af95597c39c9efc589116983f16f596ae7a5214da64a",
+  "cnf_sha256": "ffee1a679137b1f1916307885efc74036a2d50135219fb8d6b545bb2c7d11e62",
+  "lemmas": 2054
+ },
+ "u168": {
+  "quadruple": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    -2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    2,
+    0,
+    -2,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    -1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    1,
+    -1,
+    -1
+   ]
+  ],
+  "pivot": [
+   [
+    0,
+    0,
+    0,
+    0,
+    0,
+    2,
+    2,
+    0
+   ],
+   [
+    0,
+    0,
+    0,
+    0,
+    2,
+    0,
+    0,
+    -2
+   ],
+   [
+    0,
+    2,
+    0,
+    2,
+    0,
+    0,
+    0,
+    0
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1
+   ],
+   [
+    1,
+    -1,
+    1,
+    1,
+    1,
+    1,
+    -1,
+    1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    -1,
+    1,
+    -1,
+    -1
+   ],
+   [
+    1,
+    1,
+    1,
+    -1,
+    1,
+    -1,
+    1,
+    1
+   ],
+   [
+    2,
+    0,
+    -2,
+    0,
+    0,
+    0,
+    0,
+    0
+   ]
+  ],
+  "proof_sha256": "43220e092e2844284538196d82bc09b3f6a6bb9dc6e5c22e73304540e0163a9b",
+  "cnf_sha256": "7ea8a0b0ca47a977a71187b35524ba5a458aaffa46a9b9421d3dddc1641d4e87",
+  "lemmas": 2276
+ }
+}
diff --git a/research/complex-rank8-rigidity-p108/VERIFY.json b/research/complex-rank8-rigidity-p108/VERIFY.json
new file mode 100644
index 0000000000..55cde771cd
--- /dev/null
+++ b/research/complex-rank8-rigidity-p108/VERIFY.json
@@ -0,0 +1,19 @@
+{
+  "schema_version": 1,
+  "status": "ready",
+  "python": "3.12",
+  "requirements": [],
+  "inputs": [],
+  "commands": [
+    {
+      "argv": [
+        "{python}",
+        "-I",
+        "-B",
+        "{package}/verify.py"
+      ],
+      "timeout_seconds": 600,
+      "checks": "174 exact checks: generators; triple orbits; candidate-lemma coverage with explicit generator words; per unit (168) the pivot's D4 structure, (I3), (I4)/gluing, Lemma 9 connectivity and algebra, assembly, CNF consistency, DRUP zero-exclusion replay with the package's own RUP checker and the needs-zero-clause control; one bogus-proof control."
+    }
+  ]
+}
diff --git a/research/complex-rank8-rigidity-p108/make_proof.py b/research/complex-rank8-rigidity-p108/make_proof.py
new file mode 100644
index 0000000000..aad8761cdd
--- /dev/null
+++ b/research/complex-rank8-rigidity-p108/make_proof.py
@@ -0,0 +1,125 @@
+#!/usr/bin/env python3
+"""Choose the 168 orbit representatives, pivots and cover words, and regenerate UNITS.json, COVER.json and
+PROOFS.json.gz, which verify.py replays (needs python-sat, numpy and scipy; verify.py needs none of them).
+
+    python3 -I -B research/complex-rank8-rigidity-p108/make_proof.py --out-dir /new/dir
+
+Orbits of quadruples are labelled with numpy/scipy (connected components of the generator action); this only
+proposes the grouping, and verify.py checks every cover word explicitly. Representative: the first candidate
+(triple-orbit representative + one line, sorted) of each open orbit. Pivot: the first frame inside the live
+set, in line order, that passes (I3), (I4), gluing and Lemma 9 connectivity. Deletion lines are dropped from
+the solver's DRUP output (verify.py's checker ignores them anyway).
+"""
+import argparse
+import gzip
+import hashlib
+import itertools
+import json
+import sys
+from collections import deque
+from math import comb
+from multiprocessing import Pool
+from pathlib import Path
+
+sys.path.insert(0, str(Path(__file__).resolve().parent))
+import verify as V  # noqa: E402
+
+
+def unit(X):
+    from pysat.solvers import Solver
+    live = [i for i in V.P112 if i not in X]
+    F = next(F for F in V.frames_inside(live) if V.passes(V.inputs(live, F)))
+    cnf, zvars = V.build_cnf(live, F)
+    with Solver(name='g4', bootstrap_with=cnf.clauses + [zvars], with_proof=True) as s:
+        if s.solve():
+            raise SystemExit(f'{X}: UNEXPECTED satisfiable')
+        proof = [ln for ln in s.get_proof() if not ln.startswith('d')]
+    text = '\n'.join(proof) + '\n'
+    return F, text, V.cnf_digest(cnf.clauses + [zvars])
+
+
+def labels(gens):
+    import numpy as np
+    from scipy.sparse import coo_matrix
+    from scipy.sparse.csgraph import connected_components
+    pos = {x: n for n, x in enumerate(V.P112)}
+    table = np.array([[comb(x, j + 1) for j in range(4)] for x in range(112)], dtype=np.int64)
+    subs = np.array(list(itertools.combinations(range(112), 4)), dtype=np.int64)
+    rank = lambda a: sum(table[a[:, j], j] for j in range(4))
+    inv = np.empty(len(subs), dtype=np.int64)
+    inv[rank(subs)] = np.arange(len(subs))
+    rows, cols = [], []
+    for g in gens:
+        p = np.array([pos[g[x]] for x in V.P112])
+        rows.append(np.arange(len(subs)))
+        cols.append(inv[rank(np.sort(p[subs], axis=1))])
+    r, c = np.concatenate(rows), np.concatenate(cols)
+    n, lab = connected_components(coo_matrix((np.ones(len(r), dtype=np.int8), (r, c)), shape=(len(subs),) * 2),
+                                  directed=False)
+    return n, lambda Y: int(lab[inv[rank(np.array([[pos[y] for y in Y]]))][0]])
+
+
+def words_from(gens, rep, targets):
+    parent, todo, left = {rep: None}, deque([rep]), set(targets) - {rep}
+    while left:
+        Y = todo.popleft()
+        for gi, g in enumerate(gens):
+            Z = tuple(sorted(g[y] for y in Y))
+            if Z not in parent:
+                parent[Z] = (Y, gi)
+                left.discard(Z)
+                todo.append(Z)
+    out = {}
+    for c in targets:
+        w, Y = [], c
+        while parent[Y] is not None:
+            Y, gi = parent[Y]
+            w.append(gi)
+        out[c] = w[::-1]
+    return out
+
+
+def main():
+    ap = argparse.ArgumentParser()
+    ap.add_argument('--out-dir', required=True)
+    ap.add_argument('--jobs', type=int, default=8)
+    args = ap.parse_args()
+    out = Path(args.out_dir)
+    for f in ('UNITS.json', 'COVER.json', 'PROOFS.json.gz'):
+        if (out / f).exists():
+            print(f'refusing to overwrite {out / f}')
+            return 2
+    gens = V.stabiliser(V.FRAME0)[::V.GEN_STEP]
+    inframe = {Y for F in V.frames_inside(V.P112) for Y in itertools.combinations(F, 4)}
+    torbs = V.triple_orbits(gens)
+    cands = sorted({tuple(sorted(o[0] + (x,))) for o in torbs for x in V.P112 if x not in o[0]})
+    open_c = [c for c in cands if c not in inframe]
+    norb, lab = labels(gens)
+    groups = {}
+    for c in open_c:
+        groups.setdefault(lab(c), []).append(c)
+    reps = sorted(g[0] for g in groups.values())
+    names = {r: f'u{n:03d}' for n, r in enumerate(reps, 1)}
+    print(f'{norb} quadruple orbits; {len(open_c)} open candidates in {len(groups)} orbits', flush=True)
+    cover = {}
+    for g in groups.values():
+        for c, w in words_from(gens, g[0], g).items():
+            cover[' '.join(map(str, c))] = [names[g[0]], w]
+    with Pool(args.jobs) as pool:
+        res = pool.map(unit, reps)
+    units, proofs = {}, {}
+    for X, (F, text, cdig) in zip(reps, res):
+        name = names[X]
+        units[name] = {'quadruple': [V.LINES[i] for i in X], 'pivot': [V.LINES[i] for i in F],
+                       'proof_sha256': hashlib.sha256(text.encode()).hexdigest(), 'cnf_sha256': cdig,
+                       'lemmas': text.count('\n')}
+        proofs[name] = text
+    print(f'{len(units)} units, {sum(u["lemmas"] for u in units.values())} lemmas')
+    (out / 'UNITS.json').write_text(json.dumps(units, indent=1) + '\n')
+    (out / 'COVER.json').write_text(json.dumps(cover, sort_keys=True) + '\n')
+    (out / 'PROOFS.json.gz').write_bytes(gzip.compress(json.dumps(proofs, sort_keys=True).encode(), mtime=0))
+    return 0
+
+
+if __name__ == '__main__':
+    sys.exit(main())
diff --git a/research/complex-rank8-rigidity-p108/verify.py b/research/complex-rank8-rigidity-p108/verify.py
new file mode 100644
index 0000000000..a59c7bde71
--- /dev/null
+++ b/research/complex-rank8-rigidity-p108/verify.py
@@ -0,0 +1,568 @@
+#!/usr/bin/env python3
+"""Rank-8 rigidity of the E-graph system on every P108 unit (P112 minus four lines) outside PR1419's reach.
+
+Standard library only, exact arithmetic. Independent of PR1212's code: own E8 model, stabiliser orbits on
+triples, a coverage argument for quadruples, classes, witnesses, gluing, Lemma 9 propagation, zero-pattern CNF
+and RUP checker. The 168 DRUP refutations in PROOFS.json.gz and the generator words in COVER.json were produced
+by make_proof.py (python-sat, numpy, scipy); this file replays them. Run from the repository root:
+
+    python3 -I -B research/complex-rank8-rigidity-p108/verify.py
+"""
+
+import gzip
+import hashlib
+import itertools
+import json
+import sys
+from fractions import Fraction
+from pathlib import Path
+
+HERE = Path(__file__).resolve().parent
+RESULTS = []
+
+
+def check(tag, cond, info=''):
+    RESULTS.append(tag)
+    print(f"{'PASS' if cond else 'FAIL'} {tag}" + (f': {info}' if info else ''))
+    if not cond:
+        print(f'FAIL_COMPLEX_RANK8_RIGIDITY_P108: {tag}')
+        sys.exit(1)
+
+
+# ---------------------------------------------------------------- E8 model (doubled coordinates, norm 8)
+
+def lines_e8():
+    out = set()
+    for i, j in itertools.combinations(range(8), 2):
+        for sj in (2, -2):
+            v = [0] * 8
+            v[i], v[j] = 2, sj
+            out.add(tuple(v))
+    for s in itertools.product((1, -1), repeat=7):
+        v = (1,) + s
+        if v.count(-1) % 2 == 0:
+            out.add(v)
+    return sorted(out)
+
+
+LINES = lines_e8()
+NL = len(LINES)
+IDX = {v: n for n, v in enumerate(LINES)}
+
+
+def canon(v):
+    v = tuple(v)
+    first = next(a for a in v if a)
+    return v if first > 0 else tuple(-a for a in v)
+
+
+def ip(x, y):
+    d = sum(a * b for a, b in zip(x, y))
+    assert d % 4 == 0
+    return d // 4
+
+
+G = [[ip(LINES[i], LINES[j]) for j in range(NL)] for i in range(NL)]
+
+
+def lid(v):
+    return IDX[canon(v)]
+
+
+FRAME0 = frozenset(lid(v) for v in [
+    (2, 2, 0, 0, 0, 0, 0, 0), (2, -2, 0, 0, 0, 0, 0, 0), (0, 0, 2, 2, 0, 0, 0, 0), (0, 0, 2, -2, 0, 0, 0, 0),
+    (0, 0, 0, 0, 2, 2, 0, 0), (0, 0, 0, 0, 2, -2, 0, 0), (0, 0, 0, 0, 0, 0, 2, 2), (0, 0, 0, 0, 0, 0, 2, -2)])
+P112 = [i for i in range(NL) if i not in FRAME0]
+
+# UNITS.json: one representative quadruple per open orbit and its pivot frame, as root vectors, with pinned
+# SHA256 of each decompressed proof and of the CNF it refutes. COVER.json: for every candidate quadruple
+# (a triple-orbit representative plus one line) not inside a P112 frame, a unit and a word in the generators
+# carrying that unit's quadruple onto the candidate. The verifier rechecks every property it relies on; the
+# pins only detect drift.
+UNITS_FILE = HERE / 'UNITS.json'
+COVER_FILE = HERE / 'COVER.json'
+# Every 29th stabiliser generator (8 of 204). Orbits under any subgroup are sound for transport; this subset
+# gives the 24 triple orbits that all 204 generators give.
+GEN_STEP = 29
+
+
+def is_frame(S):
+    return len(S) == 8 and all(G[a][b] == 0 for a in S for b in S if a != b)
+
+
+def reflection_perm(r):
+    rv = LINES[r]
+    return tuple(lid(tuple(a - G[i][r] * b for a, b in zip(LINES[i], rv))) for i in range(NL))
+
+
+def stabiliser(frame):
+    refl = [reflection_perm(r) for r in range(NL)]
+    gens = [p for p in refl if frozenset(p[i] for i in frame) == frame]
+    for p, q in itertools.combinations(refl, 2):
+        pq = tuple(p[q[i]] for i in range(NL))
+        if frozenset(pq[i] for i in frame) == frame:
+            gens.append(pq)
+    return gens
+
+
+# ---------------------------------------------------------------- structure relative to a pivot
+
+def relative(F, lines):
+    """line -> (T, eps): T the pivot lines (in pivot order) the line is odd to, eps the signs G_if."""
+    out = {}
+    for i in lines:
+        if i in F:
+            continue
+        T = tuple(f for f in F if G[i][f] != 0)
+        out[i] = (T, tuple(G[i][f] for f in T))
+    return out
+
+
+def parity(eps):
+    return sum(1 for s in eps if s < 0) % 2
+
+
+def classes_of(rel):
+    cl = {}
+    for i, (T, eps) in rel.items():
+        cl.setdefault((T, parity(eps)), []).append(i)
+    return cl
+
+
+def connected(n, edges):
+    seen, todo = {0}, [0]
+    while todo:
+        x = todo.pop()
+        for p, q in edges:
+            for y in ((q,) if p == x else (p,) if q == x else ()):
+                if y not in seen:
+                    seen.add(y)
+                    todo.append(y)
+    return len(seen) == n
+
+
+def inputs(live, F):
+    """PR1212's (I3), (I4) and gluing on the complete classes, and PR1399's Lemma 9 connectivity for the
+    remaining lines. Returns a dict of results (all booleans True means the unit passes)."""
+    rel = relative(F, live)
+    cl = classes_of(rel)
+    complete = {k: v for k, v in cl.items() if len(v) == 4}
+    known = {i for v in complete.values() for i in v}
+    rest = [i for i in rel if i not in known]
+    nwit, wit_ok = 0, True
+    for (T, _), rows in complete.items():
+        for c, c2 in itertools.combinations(range(4), 2):
+            for i, i2 in itertools.combinations(rows, 2):
+                if rel[i][1][c] * rel[i][1][c2] != rel[i2][1][c] * rel[i2][1][c2]:
+                    continue
+                nwit += 1
+                wit_ok &= any(set(Tj) & set(T) == {T[c], T[c2]} and G[j][i] == 0 and G[j][i2] == 0
+                              for j, (Tj, _) in rel.items())
+    npair, glue_ok = 0, True
+    for c1, c2 in itertools.permutations(complete, 2):
+        if c1[0] == c2[0] or len(set(c1[0]) & set(c2[0])) != 2:
+            continue
+        npair += 1
+        glue_ok &= all(sum(1 for i in complete[c1] if G[i][j] == 0) == 2 for j in complete[c2])
+    prop_ok, sign_ok, pairs, nw = True, True, [], 0
+    for i in rest:
+        T, ei = rel[i]
+        edges = []
+        for c, c2 in itertools.combinations(range(4), 2):
+            ws = [j for j in known if G[i][j] == 0 and set(rel[j][0]) & set(T) == {T[c], T[c2]}]
+            for j in ws:
+                Tj, ej = rel[j]
+                sign_ok &= ei[c] * ej[Tj.index(T[c])] == -ei[c2] * ej[Tj.index(T[c2])]
+            if ws:
+                edges.append((c, c2))
+            nw += len(ws)
+        pairs.append(len(edges))
+        prop_ok &= connected(4, edges)
+    profile = sorted(len(v) for v in cl.values())
+    return {'rel': rel, 'complete': complete, 'known': known, 'rest': rest, 'profile': profile,
+            'blocks': len({T for T, _ in complete}) == 14, 'witnesses': wit_ok, 'nwit': nwit,
+            'glue': glue_ok, 'npair': npair, 'prop': prop_ok and sign_ok, 'pairs': pairs, 'nw': nw}
+
+
+def d4_structure(F):
+    """PR1212 Lemma 2 facts relative to F, over all 112 non-pivot lines: each is odd to 4 pivot lines; the 14
+    blocks form an S(3,4,8); the 28 classes are 4 pairwise orthogonal lines with orthogonal sign vectors;
+    2 G_ij is the sum of sign products over T_i n T_j."""
+    rel = relative(F, range(NL))
+    blocks = sorted({T for T, _ in rel.values()})
+    ok = all(len(T) == 4 and all(abs(x) == 1 for x in e) for T, e in rel.values())
+    ok &= len(blocks) == 14 and all(sum(1 for B in blocks if set(t) <= set(B)) == 1
+                                    for t in itertools.combinations(F, 3))
+    cl = classes_of(rel)
+    ok &= len(cl) == 28 and all(
+        len(v) == 4 and all(G[i][j] == 0 for i in v for j in v if i != j)
+        and all(sum(x * y for x, y in zip(rel[i][1], rel[j][1])) == (4 if i == j else 0) for i in v for j in v)
+        for v in cl.values())
+    for i, j in itertools.combinations(rel, 2):
+        (Ti, ei), (Tj, ej) = rel[i], rel[j]
+        ok &= 2 * G[i][j] == sum(ei[Ti.index(f)] * ej[Tj.index(f)] for f in set(Ti) & set(Tj))
+    return ok
+
+
+def passes(r):
+    return r['blocks'] and r['witnesses'] and r['glue'] and r['prop']
+
+
+# ---------------------------------------------------------------- zero-pattern CNF (Lemma 8 analogue)
+
+class CNF:
+    def __init__(self):
+        self.ids, self.clauses = {}, []
+
+    def var(self, key):
+        if key not in self.ids:
+            self.ids[key] = len(self.ids) + 1
+        return self.ids[key]
+
+    def add(self, c):
+        self.clauses.append(list(c))
+
+
+def build_cnf(live, F):
+    """Necessary conditions on the zero pattern of a_i = K[i,F] and b_i = K[F,i] (variable TRUE = entry zero)
+    for a rank-8 solution of (E), after pivot reduction K = K[:,F] K[F,:] / 4 (rank K = 8, K[F,F] = 4I):
+      two   orthogonal i, j with T_i n T_j = {k, k'}: a_ik b_jk + a_ik' b_jk' = 0, so one product vanishes
+            iff the other does (both orders i.j and j.i are separate pairs);
+      four  orthogonal i, j with T_i = T_j: sum of four products is 0, so not exactly one is nonzero;
+      diag  a_i . b_i = 16: some product is nonzero;
+      trans complete class C (4 pairwise orthogonal rows): A_C B_C^T = 16 I, so A_C and B_C are nonsingular
+            and their zero patterns admit a transversal (some permutation avoids every zero).
+    Returns the CNF and the pattern variables; the refuted formula adds the clause OR(pattern variables)."""
+    rel = relative(F, live)
+    cnf = CNF()
+    rows = sorted(rel)
+    za = lambda i, f: cnf.var(('a', i, f))
+    zb = lambda i, f: cnf.var(('b', i, f))
+    for i in rows:
+        for f in rel[i][0]:
+            za(i, f)
+    for i in rows:
+        for f in rel[i][0]:
+            zb(i, f)
+    for i in rows:
+        Ti = rel[i][0]
+        for j in rows:
+            if j == i or G[i][j] != 0:
+                continue
+            ov = [f for f in Ti if f in rel[j][0]]
+            if len(ov) == 2:
+                k, kp = ov
+                for (p, q), (r, s) in (((za(i, k), zb(j, k)), (za(i, kp), zb(j, kp))),
+                                       ((za(i, kp), zb(j, kp)), (za(i, k), zb(j, k)))):
+                    cnf.add([-p, r, s])
+                    cnf.add([-q, r, s])
+            elif len(ov) == 4:
+                prods = []
+                for k in ov:
+                    pk = cnf.var(('p', i, j, k))  # pk <-> a_ik != 0 and b_jk != 0
+                    cnf.add([-pk, -za(i, k)])
+                    cnf.add([-pk, -zb(j, k)])
+                    cnf.add([pk, za(i, k), zb(j, k)])
+                    prods.append(pk)
+                for pk in prods:
+                    cnf.add([-pk] + [q for q in prods if q != pk])
+        ds = []
+        for k in Ti:
+            dk = cnf.var(('d', i, k))
+            cnf.add([-dk, -za(i, k)])
+            cnf.add([-dk, -zb(i, k)])
+            cnf.add([dk, za(i, k), zb(i, k)])
+            ds.append(dk)
+        cnf.add(ds)
+    for (T, par), lines in sorted(classes_of(rel).items()):
+        if len(lines) != 4:
+            continue
+        for which, zf in (('A', za), ('B', zb)):
+            perms = []
+            for perm in itertools.permutations(range(4)):
+                v = cnf.var(('perm', which, T, par, perm))
+                for p, i in enumerate(lines):
+                    cnf.add([-v, -zf(i, T[perm[p]])])
+                perms.append(v)
+            cnf.add(perms)
+    zvars = [cnf.ids[('a', i, f)] for i in rows for f in rel[i][0]] + \
+            [cnf.ids[('b', i, f)] for i in rows for f in rel[i][0]]
+    return cnf, zvars
+
+
+def cnf_digest(clauses):
+    return hashlib.sha256('\n'.join(' '.join(map(str, c)) for c in clauses).encode()).hexdigest()
+
+
+def rup_check(clauses, nvars, proof_text):
+    """Replay a DRUP refutation with two-watched-literal unit propagation. Every lemma must be RUP with
+    respect to the original clauses and earlier lemmas; deletions are ignored (sound: the database only
+    grows); the empty clause must be derived. Returns (ok, lemmas, reason)."""
+    db, watches, units = [], {}, []
+    empty = [False]
+
+    def add(c):
+        c = list(dict.fromkeys(c))
+        if not c:
+            empty[0] = True
+            return
+        if len(c) == 1:
+            units.append(c[0])
+            return
+        idx = len(db)
+        db.append(c)
+        watches.setdefault(c[0], []).append(idx)
+        watches.setdefault(c[1], []).append(idx)
+
+    def conflict(assume):
+        val = {}
+        trail = []
+
+        def setlit(lit):
+            v, s = abs(lit), (1 if lit > 0 else -1)
+            if v in val:
+                return val[v] == s
+            val[v] = s
+            trail.append(lit)
+            return True
+
+        def value(lit):
+            s = val.get(abs(lit))
+            return None if s is None else (s == 1) == (lit > 0)
+
+        if empty[0]:
+            return True
+        for lit in units + assume:
+            if not setlit(lit):
+                return True
+        q = 0
+        while q < len(trail):
+            fl = -trail[q]
+            q += 1
+            wl = watches.get(fl, [])
+            k = 0
+            while k < len(wl):
+                c = db[wl[k]]
+                if c[0] == fl:
+                    c[0], c[1] = c[1], c[0]
+                if value(c[0]) is True:
+                    k += 1
+                    continue
+                moved = False
+                for m in range(2, len(c)):
+                    if value(c[m]) is not False:
+                        c[1], c[m] = c[m], c[1]
+                        watches.setdefault(c[1], []).append(wl[k])
+                        wl[k] = wl[-1]
+                        wl.pop()
+                        moved = True
+                        break
+                if moved:
+                    continue
+                if value(c[0]) is False:
+                    return True
+                setlit(c[0])
+                k += 1
+        return False
+
+    for c in clauses:
+        add(c)
+    n = 0
+    for line in proof_text.splitlines():
+        line = line.strip()
+        if not line or line.startswith('c') or line.startswith('d'):
+            continue
+        lits = [int(t) for t in line.split()]
+        if not lits or lits[-1] != 0 or 0 in lits[:-1] or any(abs(x) > nvars for x in lits):
+            return False, n, f'malformed lemma {line[:40]}'
+        lem = lits[:-1]
+        if not conflict([-x for x in lem]):
+            return False, n, f'lemma {n} not RUP'
+        n += 1
+        add(lem)
+        if not lem:
+            return True, n, 'empty clause derived'
+    return False, n, 'no empty clause'
+
+
+# ---------------------------------------------------------------- exact algebra for Lemma 9 and assembly
+
+def rank_q(rows):
+    M = [[Fraction(x) for x in r] for r in rows]
+    rk = 0
+    for c in range(len(M[0]) if M else 0):
+        p = next((r for r in range(rk, len(M)) if M[r][c] != 0), None)
+        if p is None:
+            continue
+        M[rk], M[p] = M[p], M[rk]
+        for r in range(len(M)):
+            if r != rk and M[r][c] != 0:
+                f = M[r][c] / M[rk][c]
+                M[r] = [a - f * b for a, b in zip(M[r], M[rk])]
+        rk += 1
+    return rk
+
+
+def lcg(seed):
+    x = seed
+    while True:
+        x = (6364136223846793005 * x + 1442695040888963407) % (1 << 64)
+        yield x >> 33
+
+
+def rand_nonzero(rng):
+    while True:
+        n, d = next(rng) % 17 - 8, next(rng) % 7 + 1
+        if n:
+            return Fraction(n, d)
+
+
+def algebra(live, F, r, seed):
+    """Lemma 9 rank-3 cross-check and the PR1212 section 7 assembly on this unit, for random rational g, d'."""
+    rel, known, rest = r['rel'], r['known'], r['rest']
+    rng = lcg(seed)
+    g = {f: rand_nonzero(rng) for f in F}
+    dd = {i: rand_nonzero(rng) for i in rel}
+    ok = True
+    for i in rest:
+        T, ei = rel[i]
+        wit = [j for j in known if G[i][j] == 0 and len(set(rel[j][0]) & set(T)) == 2]
+        rows_a = [[4 / (dd[j] * g[f]) * G[j][f] for f in T] for j in wit]
+        rows_b = [[dd[j] * G[j][f] * g[f] for f in T] for j in wit]
+        va = [ei[n] * g[f] for n, f in enumerate(T)]
+        vb = [ei[n] / g[f] for n, f in enumerate(T)]
+        ok &= rank_q(rows_a) == 3 and all(sum(x * y for x, y in zip(row, va)) == 0 for row in rows_a)
+        ok &= rank_q(rows_b) == 3 and all(sum(x * y for x, y in zip(row, vb)) == 0 for row in rows_b)
+    a = {i: {f: (dd[i] * G[i][f] * g[f] if f in rel[i][0] else Fraction(0)) for f in F} for i in rel}
+    b = {i: {f: (4 / (dd[i] * g[f]) * G[i][f] if f in rel[i][0] else Fraction(0)) for f in F} for i in rel}
+    for f in F:
+        a[f] = {h: Fraction(4 if h == f else 0) for h in F}
+        b[f] = {h: Fraction(4 if h == f else 0) for h in F}
+    D = {i: dd[i] / 2 for i in rel}
+    D.update({f: 1 / g[f] for f in F})
+    asm = all(sum(a[i][f] * b[j][f] for f in F) / 4 == 2 * G[i][j] * D[i] / D[j] for i in live for j in live)
+    eqs = all(sum(a[i][f] * b[j][f] for f in F) == (16 if i == j else 0)
+              for i in live for j in live if i == j or G[i][j] == 0)
+    return ok, asm and eqs
+
+
+def gauge_pattern_satisfies(cnf):
+    """Control: the all-nonzero pattern of a gauge solution (every pattern variable FALSE, every product,
+    diagonal and permutation variable TRUE) satisfies the CNF without the final 'some zero' clause."""
+    truth = {}
+    for key, v in cnf.ids.items():
+        truth[v] = key[0] in ('p', 'd', 'perm')
+    return all(any((truth[abs(x)] if x > 0 else not truth[abs(x)]) for x in c) for c in cnf.clauses)
+
+
+# ---------------------------------------------------------------- main
+
+def frames_inside(live):
+    live = sorted(live)
+    out = []
+
+    def grow(cur, cand):
+        if len(cur) == 8:
+            out.append(cur)
+            return
+        for n, j in enumerate(cand):
+            grow(cur + [j], [k for k in cand[n + 1:] if G[j][k] == 0])
+
+    grow([], live)
+    return out
+
+
+def triple_orbits(gens):
+    """Union-find orbits of the gens on 3-subsets of P112 (as sorted line-id triples)."""
+    subs = list(itertools.combinations(P112, 3))
+    idx = {s: n for n, s in enumerate(subs)}
+    par = list(range(len(subs)))
+
+    def find(a):
+        while par[a] != a:
+            par[a] = par[par[a]]
+            a = par[a]
+        return a
+
+    for g in gens:
+        for n, s in enumerate(subs):
+            a, b = find(n), find(idx[tuple(sorted(g[x] for x in s))])
+            if a != b:
+                par[a] = b
+    orbs = {}
+    for n, s in enumerate(subs):
+        orbs.setdefault(find(n), []).append(s)
+    return sorted(orbs.values(), key=lambda o: (len(o), o[0]))
+
+
+def odd_pairs(X):
+    return sum(1 for a, b in itertools.combinations(X, 2) if G[a][b] != 0)
+
+
+def apply_word(gens, word, Y):
+    for w in word:
+        Y = tuple(sorted(gens[w][y] for y in Y))
+    return Y
+
+
+def main():
+    check('model.lines', NL == 120 and len(FRAME0) == 8 and is_frame(sorted(FRAME0)), '120 lines; FRAME0 is a frame')
+    allgens = stabiliser(FRAME0)
+    gens = allgens[::GEN_STEP]
+    check('model.generators', len(allgens) == 204 and all(frozenset(g[i] for i in FRAME0) == FRAME0 for g in gens),
+          f'{len(gens)} of the {len(allgens)} reflection / reflection-pair generators fixing FRAME0')
+    frames = frames_inside(P112)
+    inframe = {Y for F in frames for Y in itertools.combinations(F, 4)}
+    torbs = triple_orbits(gens)
+    check('census.triples', len(frames) == 1260 and len(torbs) == 24 and sum(map(len, torbs)) == 227920,
+          '1260 frames inside P112; the generators split the 227920 triples of P112 into 24 orbits')
+    # Every quadruple Y contains a triple s; s = h(t) for the representative t of its orbit and some h in the
+    # group, so h^-1(Y) = t + {x} is a candidate. Inside-a-P112-frame is invariant (the group fixes FRAME0).
+    cands = sorted({tuple(sorted(o[0] + (x,))) for o in torbs for x in P112 if x not in o[0]})
+    open_c = [c for c in cands if c not in inframe]
+    UNITS = json.loads(UNITS_FILE.read_text())
+    reps = {name: tuple(sorted(lid(v) for v in u['quadruple'])) for name, u in UNITS.items()}
+    cover = json.loads(COVER_FILE.read_text())
+    hit = set()
+    ok = len(cover) == len(open_c)
+    for c in open_c:
+        name, word = cover[' '.join(map(str, c))]
+        ok &= apply_word(gens, word, reps[name]) == c
+        hit.add(name)
+    check('census.cover', ok and hit == set(UNITS) and all(r not in inframe for r in reps.values()),
+          f'{len(cands)} candidates (triple-orbit representative + one line); {len(cands) - len(open_c)} inside a '
+          f'P112 frame (PR1419); each of the other {len(open_c)} is a generator word applied to one of the '
+          f'{len(UNITS)} units, max word length {max(len(w) for _, w in cover.values())}')
+    blob = json.loads(gzip.decompress((HERE / 'PROOFS.json.gz').read_bytes()))
+    check('units.proofs', sorted(UNITS) == sorted(blob), f'one proof per unit ({len(blob)})')
+    bogus_done = False
+    for name, u in sorted(UNITS.items()):
+        X = list(reps[name])
+        F = [lid(v) for v in u['pivot']]
+        live = [i for i in P112 if i not in X]
+        ok = is_frame(F) and set(F) <= set(live) and len(live) == 108 and d4_structure(F)
+        r = inputs(live, F)
+        nc = sum(1 for n in r['profile'] if n == 4)
+        ok &= r['witnesses'] and r['nwit'] == 12 * nc and r['blocks'] and r['glue'] and r['prop']
+        ok9, asm = algebra(live, F, r, 1080 + int(name[1:]))
+        cnf, zvars = build_cnf(live, F)
+        clauses = cnf.clauses + [zvars]
+        text = blob[name]
+        digest = hashlib.sha256(text.encode()).hexdigest()
+        good, n, why = rup_check(clauses, len(cnf.ids), text)
+        nozero, _, _ = rup_check(cnf.clauses, len(cnf.ids), text)
+        check(f'{name}.rigid', ok and ok9 and asm and gauge_pattern_satisfies(cnf) and good and not nozero
+              and digest == u['proof_sha256'] and cnf_digest(clauses) == u['cnf_sha256'],
+              f'{odd_pairs(X)} odd pairs; {nc} complete classes, Lemma 9 on {len(r["rest"])} lines; '
+              f'zero exclusion {n} lemmas; fails without the zero clause')
+        if not bogus_done:
+            bogus, _, why2 = rup_check(clauses, len(cnf.ids), '0\n')
+            check('control.bogus-proof', not bogus and 'not RUP' in why2,
+                  'an empty-clause-only proof is rejected: unit propagation alone does not refute the CNF')
+            bogus_done = True
+    print(f'PASS_COMPLEX_RANK8_RIGIDITY_P108: checks {len(RESULTS)}; {len(UNITS)} rigid units cover every P108 '
+          f'quadruple outside a P112 frame; with PR1419 every P108 unit is rigid; floor 60')
+
+
+if __name__ == '__main__':
+    main()