/* This is the subset of the Kreuzer Skarke list, that are qsmooth at the coordinate points. There are 14,817 entries, of which about 1/2 are not qsmooth along the coordinate lines. Load into Magma by > load KS2; Loading "KS2" > #AAKS2; 14817 */ // > load KS2 AAKS2 := [ PowerSequence(IntegerRing()) | [ IntegerRing() | 1, 1, 1, 1, 1, 5 ], [ IntegerRing() | 1, 1, 1, 1, 2, 6 ], [ IntegerRing() | 1, 1, 1, 2, 2, 7 ], [ IntegerRing() | 1, 1, 1, 1, 3, 7 ], [ IntegerRing() | 1, 1, 2, 2, 2, 8 ], [ IntegerRing() | 1, 1, 1, 2, 3, 8 ], [ IntegerRing() | 1, 1, 1, 1, 4, 8 ], [ IntegerRing() | 1, 1, 2, 2, 3, 9 ], [ IntegerRing() | 1, 1, 1, 3, 3, 9 ], [ IntegerRing() | 1, 1, 1, 2, 4, 9 ], [ IntegerRing() | 1, 2, 2, 2, 3, 10 ], [ IntegerRing() | 1, 1, 2, 3, 3, 10 ], [ IntegerRing() | 1, 1, 2, 2, 4, 10 ], [ IntegerRing() | 1, 1, 1, 2, 5, 10 ], [ IntegerRing() | 1, 2, 2, 3, 3, 11 ], [ IntegerRing() | 1, 1, 2, 3, 4, 11 ], [ IntegerRing() | 1, 1, 2, 2, 5, 11 ], [ IntegerRing() | 1, 1, 1, 3, 5, 11 ], [ IntegerRing() | 2, 2, 2, 3, 3, 12 ], [ IntegerRing() | 1, 2, 3, 3, 3, 12 ], [ IntegerRing() | 1, 2, 2, 3, 4, 12 ], [ IntegerRing() | 1, 1, 3, 3, 4, 12 ], [ IntegerRing() | 1, 1, 2, 4, 4, 12 ], [ IntegerRing() | 1, 2, 2, 2, 5, 12 ], [ IntegerRing() | 1, 1, 2, 3, 5, 12 ], [ IntegerRing() | 1, 1, 2, 2, 6, 12 ], [ IntegerRing() | 1, 1, 1, 3, 6, 12 ], [ IntegerRing() | 1, 2, 3, 3, 4, 13 ], [ IntegerRing() | 1, 1, 3, 4, 4, 13 ], [ IntegerRing() | 1, 2, 2, 3, 5, 13 ], [ IntegerRing() | 1, 1, 3, 3, 5, 13 ], [ IntegerRing() | 1, 1, 2, 3, 6, 13 ], [ IntegerRing() | 1, 1, 1, 4, 6, 13 ], [ IntegerRing() | 2, 2, 3, 3, 4, 14 ], [ IntegerRing() | 1, 2, 3, 4, 4, 14 ], [ IntegerRing() | 1, 2, 2, 4, 5, 14 ], [ IntegerRing() | 1, 2, 2, 3, 6, 14 ], [ IntegerRing() | 1, 1, 2, 4, 6, 14 ], [ IntegerRing() | 1, 2, 2, 2, 7, 14 ], [ IntegerRing() | 1, 1, 2, 3, 7, 14 ], [ IntegerRing() | 2, 3, 3, 3, 4, 15 ], [ IntegerRing() | 1, 3, 3, 4, 4, 15 ], [ IntegerRing() | 2, 2, 3, 3, 5, 15 ], [ IntegerRing() | 1, 3, 3, 3, 5, 15 ], [ IntegerRing() | 1, 2, 3, 4, 5, 15 ], [ IntegerRing() | 1, 2, 2, 5, 5, 15 ], [ IntegerRing() | 1, 1, 3, 5, 5, 15 ], [ IntegerRing() | 1, 2, 3, 3, 6, 15 ], [ IntegerRing() | 1, 1, 3, 4, 6, 15 ], [ IntegerRing() | 1, 2, 2, 3, 7, 15 ], [ IntegerRing() | 1, 1, 3, 3, 7, 15 ], [ IntegerRing() | 1, 1, 2, 4, 7, 15 ], [ IntegerRing() | 1, 1, 1, 5, 7, 15 ], [ IntegerRing() | 2, 3, 3, 4, 4, 16 ], [ IntegerRing() | 1, 3, 4, 4, 4, 16 ], [ IntegerRing() | 1, 3, 3, 4, 5, 16 ], [ IntegerRing() | 1, 2, 4, 4, 5, 16 ], [ IntegerRing() | 1, 2, 3, 5, 5, 16 ], [ IntegerRing() | 1, 1, 4, 5, 5, 16 ], [ IntegerRing() | 1, 2, 3, 4, 6, 16 ], [ IntegerRing() | 1, 1, 4, 4, 6, 16 ], [ IntegerRing() | 2, 2, 2, 3, 7, 16 ], [ IntegerRing() | 1, 2, 3, 3, 7, 16 ], [ IntegerRing() | 1, 2, 2, 4, 7, 16 ], [ IntegerRing() | 1, 1, 2, 5, 7, 16 ], [ IntegerRing() | 1, 2, 2, 3, 8, 16 ], [ IntegerRing() | 1, 1, 3, 3, 8, 16 ], [ IntegerRing() | 1, 1, 2, 4, 8, 16 ], [ IntegerRing() | 1, 1, 1, 5, 8, 16 ], [ IntegerRing() | 2, 3, 3, 4, 5, 17 ], [ IntegerRing() | 2, 2, 3, 5, 5, 17 ], [ IntegerRing() | 1, 2, 4, 5, 5, 17 ], [ IntegerRing() | 1, 2, 3, 5, 6, 17 ], [ IntegerRing() | 2, 2, 3, 3, 7, 17 ], [ IntegerRing() | 1, 2, 3, 4, 7, 17 ], [ IntegerRing() | 1, 1, 3, 5, 7, 17 ], [ IntegerRing() | 1, 2, 3, 3, 8, 17 ], [ IntegerRing() | 1, 1, 3, 4, 8, 17 ], [ IntegerRing() | 1, 1, 2, 5, 8, 17 ], [ IntegerRing() | 2, 3, 4, 4, 5, 18 ], [ IntegerRing() | 2, 3, 3, 5, 5, 18 ], [ IntegerRing() | 2, 3, 3, 4, 6, 18 ], [ IntegerRing() | 1, 3, 4, 4, 6, 18 ], [ IntegerRing() | 2, 2, 3, 5, 6, 18 ], [ IntegerRing() | 1, 3, 3, 5, 6, 18 ], [ IntegerRing() | 1, 2, 3, 6, 6, 18 ], [ IntegerRing() | 1, 1, 4, 6, 6, 18 ], [ IntegerRing() | 2, 2, 3, 4, 7, 18 ], [ IntegerRing() | 1, 2, 4, 4, 7, 18 ], [ IntegerRing() | 2, 2, 3, 3, 8, 18 ], [ IntegerRing() | 1, 2, 3, 4, 8, 18 ], [ IntegerRing() | 1, 2, 2, 5, 8, 18 ], [ IntegerRing() | 1, 1, 2, 6, 8, 18 ], [ IntegerRing() | 2, 2, 2, 3, 9, 18 ], [ IntegerRing() | 1, 2, 3, 3, 9, 18 ], [ IntegerRing() | 1, 2, 2, 4, 9, 18 ], [ IntegerRing() | 1, 1, 1, 6, 9, 18 ], [ IntegerRing() | 3, 3, 4, 4, 5, 19 ], [ IntegerRing() | 2, 3, 4, 5, 5, 19 ], [ IntegerRing() | 1, 3, 4, 5, 6, 19 ], [ IntegerRing() | 1, 2, 4, 5, 7, 19 ], [ IntegerRing() | 1, 3, 3, 4, 8, 19 ], [ IntegerRing() | 1, 1, 3, 6, 8, 19 ], [ IntegerRing() | 1, 2, 3, 4, 9, 19 ], [ IntegerRing() | 1, 2, 2, 5, 9, 19 ], [ IntegerRing() | 1, 1, 3, 5, 9, 19 ], [ IntegerRing() | 1, 1, 2, 6, 9, 19 ], [ IntegerRing() | 3, 4, 4, 4, 5, 20 ], [ IntegerRing() | 3, 3, 4, 5, 5, 20 ], [ IntegerRing() | 2, 4, 4, 5, 5, 20 ], [ IntegerRing() | 2, 3, 5, 5, 5, 20 ], [ IntegerRing() | 1, 4, 5, 5, 5, 20 ], [ IntegerRing() | 2, 3, 4, 5, 6, 20 ], [ IntegerRing() | 2, 2, 5, 5, 6, 20 ], [ IntegerRing() | 1, 2, 5, 6, 6, 20 ], [ IntegerRing() | 2, 2, 3, 6, 7, 20 ], [ IntegerRing() | 1, 2, 4, 6, 7, 20 ], [ IntegerRing() | 2, 3, 3, 4, 8, 20 ], [ IntegerRing() | 1, 3, 4, 4, 8, 20 ], [ IntegerRing() | 1, 2, 4, 5, 8, 20 ], [ IntegerRing() | 1, 1, 4, 6, 8, 20 ], [ IntegerRing() | 2, 2, 3, 4, 9, 20 ], [ IntegerRing() | 1, 2, 4, 4, 9, 20 ], [ IntegerRing() | 2, 2, 2, 5, 9, 20 ], [ IntegerRing() | 1, 2, 3, 5, 9, 20 ], [ IntegerRing() | 1, 2, 2, 6, 9, 20 ], [ IntegerRing() | 2, 2, 3, 3, 10, 20 ], [ IntegerRing() | 1, 2, 3, 4, 10, 20 ], [ IntegerRing() | 1, 1, 4, 4, 10, 20 ], [ IntegerRing() | 1, 2, 2, 5, 10, 20 ], [ IntegerRing() | 1, 1, 3, 5, 10, 20 ], [ IntegerRing() | 1, 1, 2, 6, 10, 20 ], [ IntegerRing() | 3, 3, 4, 5, 6, 21 ], [ IntegerRing() | 2, 3, 5, 5, 6, 21 ], [ IntegerRing() | 1, 3, 5, 6, 6, 21 ], [ IntegerRing() | 1, 4, 4, 5, 7, 21 ], [ IntegerRing() | 1, 3, 5, 5, 7, 21 ], [ IntegerRing() | 2, 3, 3, 6, 7, 21 ], [ IntegerRing() | 1, 3, 4, 6, 7, 21 ], [ IntegerRing() | 2, 2, 3, 7, 7, 21 ], [ IntegerRing() | 1, 3, 3, 7, 7, 21 ], [ IntegerRing() | 1, 2, 4, 7, 7, 21 ], [ IntegerRing() | 1, 1, 5, 7, 7, 21 ], [ IntegerRing() | 1, 3, 4, 5, 8, 21 ], [ IntegerRing() | 1, 2, 5, 5, 8, 21 ], [ IntegerRing() | 2, 3, 3, 4, 9, 21 ], [ IntegerRing() | 1, 3, 4, 4, 9, 21 ], [ IntegerRing() | 1, 3, 3, 5, 9, 21 ], [ IntegerRing() | 1, 2, 3, 6, 9, 21 ], [ IntegerRing() | 1, 1, 3, 7, 9, 21 ], [ IntegerRing() | 1, 3, 3, 4, 10, 21 ], [ IntegerRing() | 1, 2, 3, 5, 10, 21 ], [ IntegerRing() | 1, 1, 4, 5, 10, 21 ], [ IntegerRing() | 1, 1, 3, 6, 10, 21 ], [ IntegerRing() | 1, 1, 2, 7, 10, 21 ], [ IntegerRing() | 2, 4, 5, 5, 6, 22 ], [ IntegerRing() | 1, 4, 4, 6, 7, 22 ], [ IntegerRing() | 1, 2, 5, 7, 7, 22 ], [ IntegerRing() | 1, 3, 4, 6, 8, 22 ], [ IntegerRing() | 2, 3, 4, 4, 9, 22 ], [ IntegerRing() | 2, 2, 4, 5, 9, 22 ], [ IntegerRing() | 1, 2, 4, 6, 9, 22 ], [ IntegerRing() | 2, 3, 3, 4, 10, 22 ], [ IntegerRing() | 2, 2, 3, 5, 10, 22 ], [ IntegerRing() | 1, 2, 4, 5, 10, 22 ], [ IntegerRing() | 1, 2, 3, 6, 10, 22 ], [ IntegerRing() | 1, 2, 2, 7, 10, 22 ], [ IntegerRing() | 2, 2, 3, 4, 11, 22 ], [ IntegerRing() | 1, 2, 4, 4, 11, 22 ], [ IntegerRing() | 2, 2, 2, 5, 11, 22 ], [ IntegerRing() | 1, 2, 3, 5, 11, 22 ], [ IntegerRing() | 1, 1, 2, 7, 11, 22 ], [ IntegerRing() | 3, 4, 5, 5, 6, 23 ], [ IntegerRing() | 2, 3, 5, 6, 7, 23 ], [ IntegerRing() | 2, 3, 4, 7, 7, 23 ], [ IntegerRing() | 2, 3, 3, 7, 8, 23 ], [ IntegerRing() | 1, 2, 5, 7, 8, 23 ], [ IntegerRing() | 2, 3, 4, 5, 9, 23 ], [ IntegerRing() | 1, 3, 5, 5, 9, 23 ], [ IntegerRing() | 2, 3, 3, 5, 10, 23 ], [ IntegerRing() | 1, 3, 4, 5, 10, 23 ], [ IntegerRing() | 1, 2, 3, 7, 10, 23 ], [ IntegerRing() | 1, 3, 4, 4, 11, 23 ], [ IntegerRing() | 1, 3, 3, 5, 11, 23 ], [ IntegerRing() | 1, 2, 3, 6, 11, 23 ], [ IntegerRing() | 1, 1, 4, 6, 11, 23 ], [ IntegerRing() | 1, 2, 2, 7, 11, 23 ], [ IntegerRing() | 4, 4, 5, 5, 6, 24 ], [ IntegerRing() | 3, 4, 5, 6, 6, 24 ], [ IntegerRing() | 3, 4, 5, 5, 7, 24 ], [ IntegerRing() | 3, 4, 4, 6, 7, 24 ], [ IntegerRing() | 2, 3, 6, 6, 7, 24 ], [ IntegerRing() | 3, 3, 4, 7, 7, 24 ], [ IntegerRing() | 1, 3, 6, 7, 7, 24 ], [ IntegerRing() | 3, 4, 4, 5, 8, 24 ], [ IntegerRing() | 2, 4, 5, 5, 8, 24 ], [ IntegerRing() | 3, 3, 4, 6, 8, 24 ], [ IntegerRing() | 1, 4, 5, 6, 8, 24 ], [ IntegerRing() | 1, 3, 6, 6, 8, 24 ], [ IntegerRing() | 3, 3, 3, 7, 8, 24 ], [ IntegerRing() | 2, 3, 4, 7, 8, 24 ], [ IntegerRing() | 2, 3, 3, 8, 8, 24 ], [ IntegerRing() | 1, 3, 4, 8, 8, 24 ], [ IntegerRing() | 1, 1, 6, 8, 8, 24 ], [ IntegerRing() | 2, 3, 4, 6, 9, 24 ], [ IntegerRing() | 1, 4, 4, 6, 9, 24 ], [ IntegerRing() | 2, 2, 5, 6, 9, 24 ], [ IntegerRing() | 1, 3, 5, 6, 9, 24 ], [ IntegerRing() | 1, 2, 6, 6, 9, 24 ], [ IntegerRing() | 3, 3, 4, 4, 10, 24 ], [ IntegerRing() | 2, 3, 4, 5, 10, 24 ], [ IntegerRing() | 1, 4, 4, 5, 10, 24 ], [ IntegerRing() | 1, 3, 4, 6, 10, 24 ], [ IntegerRing() | 1, 2, 4, 7, 10, 24 ], [ IntegerRing() | 1, 1, 4, 8, 10, 24 ], [ IntegerRing() | 2, 3, 4, 4, 11, 24 ], [ IntegerRing() | 2, 2, 4, 5, 11, 24 ], [ IntegerRing() | 2, 2, 3, 6, 11, 24 ], [ IntegerRing() | 1, 2, 4, 6, 11, 24 ], [ IntegerRing() | 1, 2, 3, 7, 11, 24 ], [ IntegerRing() | 1, 2, 2, 8, 11, 24 ], [ IntegerRing() | 2, 3, 3, 4, 12, 24 ], [ IntegerRing() | 1, 3, 4, 4, 12, 24 ], [ IntegerRing() | 1, 2, 4, 5, 12, 24 ], [ IntegerRing() | 1, 2, 3, 6, 12, 24 ], [ IntegerRing() | 1, 1, 4, 6, 12, 24 ], [ IntegerRing() | 1, 1, 3, 7, 12, 24 ], [ IntegerRing() | 1, 1, 2, 8, 12, 24 ], [ IntegerRing() | 4, 4, 5, 5, 7, 25 ], [ IntegerRing() | 3, 4, 5, 6, 7, 25 ], [ IntegerRing() | 2, 4, 5, 7, 7, 25 ], [ IntegerRing() | 1, 4, 6, 7, 7, 25 ], [ IntegerRing() | 1, 5, 5, 6, 8, 25 ], [ IntegerRing() | 1, 4, 5, 7, 8, 25 ], [ IntegerRing() | 1, 3, 5, 8, 8, 25 ], [ IntegerRing() | 2, 3, 4, 7, 9, 25 ], [ IntegerRing() | 1, 4, 4, 7, 9, 25 ], [ IntegerRing() | 3, 3, 4, 5, 10, 25 ], [ IntegerRing() | 2, 3, 5, 5, 10, 25 ], [ IntegerRing() | 1, 4, 5, 5, 10, 25 ], [ IntegerRing() | 1, 3, 5, 6, 10, 25 ], [ IntegerRing() | 1, 1, 5, 8, 10, 25 ], [ IntegerRing() | 2, 3, 4, 5, 11, 25 ], [ IntegerRing() | 1, 3, 5, 5, 11, 25 ], [ IntegerRing() | 1, 3, 4, 6, 11, 25 ], [ IntegerRing() | 2, 2, 3, 7, 11, 25 ], [ IntegerRing() | 1, 3, 3, 7, 11, 25 ], [ IntegerRing() | 1, 2, 3, 8, 11, 25 ], [ IntegerRing() | 1, 3, 4, 5, 12, 25 ], [ IntegerRing() | 1, 2, 5, 5, 12, 25 ], [ IntegerRing() | 1, 1, 5, 6, 12, 25 ], [ IntegerRing() | 1, 1, 4, 7, 12, 25 ], [ IntegerRing() | 1, 1, 3, 8, 12, 25 ], [ IntegerRing() | 2, 5, 6, 6, 7, 26 ], [ IntegerRing() | 2, 5, 5, 6, 8, 26 ], [ IntegerRing() | 2, 3, 4, 8, 9, 26 ], [ IntegerRing() | 1, 2, 6, 8, 9, 26 ], [ IntegerRing() | 2, 3, 5, 6, 10, 26 ], [ IntegerRing() | 1, 1, 6, 8, 10, 26 ], [ IntegerRing() | 2, 4, 4, 5, 11, 26 ], [ IntegerRing() | 2, 3, 4, 6, 11, 26 ], [ IntegerRing() | 1, 2, 4, 8, 11, 26 ], [ IntegerRing() | 1, 2, 5, 6, 12, 26 ], [ IntegerRing() | 2, 2, 3, 7, 12, 26 ], [ IntegerRing() | 1, 2, 4, 7, 12, 26 ], [ IntegerRing() | 1, 2, 3, 8, 12, 26 ], [ IntegerRing() | 2, 3, 4, 4, 13, 26 ], [ IntegerRing() | 1, 2, 5, 5, 13, 26 ], [ IntegerRing() | 2, 2, 3, 6, 13, 26 ], [ IntegerRing() | 1, 2, 4, 6, 13, 26 ], [ IntegerRing() | 1, 2, 2, 8, 13, 26 ], [ IntegerRing() | 3, 5, 6, 6, 7, 27 ], [ IntegerRing() | 3, 4, 6, 7, 7, 27 ], [ IntegerRing() | 3, 3, 6, 7, 8, 27 ], [ IntegerRing() | 2, 5, 5, 6, 9, 27 ], [ IntegerRing() | 2, 3, 6, 7, 9, 27 ], [ IntegerRing() | 1, 4, 6, 7, 9, 27 ], [ IntegerRing() | 3, 3, 4, 8, 9, 27 ], [ IntegerRing() | 2, 3, 5, 8, 9, 27 ], [ IntegerRing() | 1, 3, 6, 8, 9, 27 ], [ IntegerRing() | 2, 3, 4, 9, 9, 27 ], [ IntegerRing() | 2, 2, 5, 9, 9, 27 ], [ IntegerRing() | 1, 2, 6, 9, 9, 27 ], [ IntegerRing() | 1, 3, 6, 7, 10, 27 ], [ IntegerRing() | 2, 4, 5, 5, 11, 27 ], [ IntegerRing() | 2, 3, 5, 6, 11, 27 ], [ IntegerRing() | 1, 2, 5, 8, 11, 27 ], [ IntegerRing() | 3, 3, 4, 5, 12, 27 ], [ IntegerRing() | 2, 3, 5, 5, 12, 27 ], [ IntegerRing() | 1, 3, 5, 6, 12, 27 ], [ IntegerRing() | 1, 3, 3, 8, 12, 27 ], [ IntegerRing() | 1, 2, 3, 9, 12, 27 ], [ IntegerRing() | 1, 3, 4, 6, 13, 27 ], [ IntegerRing() | 1, 3, 3, 7, 13, 27 ], [ IntegerRing() | 1, 2, 4, 7, 13, 27 ], [ IntegerRing() | 1, 1, 5, 7, 13, 27 ], [ IntegerRing() | 1, 2, 3, 8, 13, 27 ], [ IntegerRing() | 1, 2, 2, 9, 13, 27 ], [ IntegerRing() | 1, 1, 3, 9, 13, 27 ], [ IntegerRing() | 4, 4, 6, 7, 7, 28 ], [ IntegerRing() | 3, 4, 7, 7, 7, 28 ], [ IntegerRing() | 4, 5, 5, 6, 8, 28 ], [ IntegerRing() | 4, 4, 5, 7, 8, 28 ], [ IntegerRing() | 3, 4, 6, 7, 8, 28 ], [ IntegerRing() | 2, 4, 7, 7, 8, 28 ], [ IntegerRing() | 3, 4, 5, 8, 8, 28 ], [ IntegerRing() | 1, 4, 7, 8, 8, 28 ], [ IntegerRing() | 1, 4, 7, 7, 9, 28 ], [ IntegerRing() | 1, 4, 6, 8, 9, 28 ], [ IntegerRing() | 1, 2, 7, 9, 9, 28 ], [ IntegerRing() | 3, 3, 4, 8, 10, 28 ], [ IntegerRing() | 1, 4, 5, 8, 10, 28 ], [ IntegerRing() | 3, 4, 4, 6, 11, 28 ], [ IntegerRing() | 1, 4, 6, 6, 11, 28 ], [ IntegerRing() | 3, 4, 4, 5, 12, 28 ], [ IntegerRing() | 2, 3, 4, 7, 12, 28 ], [ IntegerRing() | 1, 4, 4, 7, 12, 28 ], [ IntegerRing() | 1, 3, 4, 8, 12, 28 ], [ IntegerRing() | 1, 2, 4, 9, 12, 28 ], [ IntegerRing() | 2, 4, 4, 5, 13, 28 ], [ IntegerRing() | 2, 3, 5, 5, 13, 28 ], [ IntegerRing() | 2, 3, 4, 6, 13, 28 ], [ IntegerRing() | 2, 3, 3, 7, 13, 28 ], [ IntegerRing() | 2, 2, 4, 7, 13, 28 ], [ IntegerRing() | 1, 2, 5, 7, 13, 28 ], [ IntegerRing() | 1, 2, 4, 8, 13, 28 ], [ IntegerRing() | 1, 2, 3, 9, 13, 28 ], [ IntegerRing() | 3, 3, 4, 4, 14, 28 ], [ IntegerRing() | 2, 3, 4, 5, 14, 28 ], [ IntegerRing() | 1, 3, 5, 5, 14, 28 ], [ IntegerRing() | 1, 3, 4, 6, 14, 28 ], [ IntegerRing() | 2, 2, 3, 7, 14, 28 ], [ IntegerRing() | 1, 3, 3, 7, 14, 28 ], [ IntegerRing() | 1, 2, 4, 7, 14, 28 ], [ IntegerRing() | 1, 1, 4, 8, 14, 28 ], [ IntegerRing() | 1, 2, 2, 9, 14, 28 ], [ IntegerRing() | 1, 1, 3, 9, 14, 28 ], [ IntegerRing() | 4, 5, 5, 7, 8, 29 ], [ IntegerRing() | 2, 5, 5, 8, 9, 29 ], [ IntegerRing() | 2, 4, 5, 9, 9, 29 ], [ IntegerRing() | 2, 3, 5, 9, 10, 29 ], [ IntegerRing() | 1, 2, 7, 9, 10, 29 ], [ IntegerRing() | 1, 4, 6, 7, 11, 29 ], [ IntegerRing() | 1, 3, 7, 7, 11, 29 ], [ IntegerRing() | 1, 1, 7, 9, 11, 29 ], [ IntegerRing() | 3, 4, 5, 5, 12, 29 ], [ IntegerRing() | 1, 4, 5, 7, 12, 29 ], [ IntegerRing() | 1, 2, 5, 9, 12, 29 ], [ IntegerRing() | 3, 4, 4, 5, 13, 29 ], [ IntegerRing() | 2, 3, 3, 8, 13, 29 ], [ IntegerRing() | 1, 3, 4, 8, 13, 29 ], [ IntegerRing() | 2, 2, 3, 9, 13, 29 ], [ IntegerRing() | 1, 4, 5, 5, 14, 29 ], [ IntegerRing() | 1, 3, 5, 6, 14, 29 ], [ IntegerRing() | 1, 3, 4, 7, 14, 29 ], [ IntegerRing() | 1, 2, 5, 7, 14, 29 ], [ IntegerRing() | 1, 1, 5, 8, 14, 29 ], [ IntegerRing() | 1, 2, 3, 9, 14, 29 ], [ IntegerRing() | 5, 5, 6, 6, 8, 30 ], [ IntegerRing() | 2, 6, 7, 7, 8, 30 ], [ IntegerRing() | 3, 5, 6, 8, 8, 30 ], [ IntegerRing() | 3, 5, 6, 7, 9, 30 ], [ IntegerRing() | 3, 4, 6, 8, 9, 30 ], [ IntegerRing() | 2, 3, 7, 9, 9, 30 ], [ IntegerRing() | 4, 5, 5, 6, 10, 30 ], [ IntegerRing() | 3, 5, 6, 6, 10, 30 ], [ IntegerRing() | 2, 5, 6, 7, 10, 30 ], [ IntegerRing() | 2, 4, 7, 7, 10, 30 ], [ IntegerRing() | 3, 3, 6, 8, 10, 30 ], [ IntegerRing() | 1, 5, 6, 8, 10, 30 ], [ IntegerRing() | 3, 4, 4, 9, 10, 30 ], [ IntegerRing() | 3, 3, 5, 9, 10, 30 ], [ IntegerRing() | 2, 3, 6, 9, 10, 30 ], [ IntegerRing() | 1, 3, 7, 9, 10, 30 ], [ IntegerRing() | 3, 3, 4, 10, 10, 30 ], [ IntegerRing() | 2, 3, 5, 10, 10, 30 ], [ IntegerRing() | 1, 4, 5, 10, 10, 30 ], [ IntegerRing() | 1, 3, 6, 10, 10, 30 ], [ IntegerRing() | 1, 2, 7, 10, 10, 30 ], [ IntegerRing() | 2, 3, 6, 8, 11, 30 ], [ IntegerRing() | 1, 4, 6, 8, 11, 30 ], [ IntegerRing() | 3, 4, 5, 6, 12, 30 ], [ IntegerRing() | 2, 5, 5, 6, 12, 30 ], [ IntegerRing() | 1, 5, 6, 6, 12, 30 ], [ IntegerRing() | 2, 3, 6, 7, 12, 30 ], [ IntegerRing() | 1, 3, 6, 8, 12, 30 ], [ IntegerRing() | 1, 2, 6, 9, 12, 30 ], [ IntegerRing() | 1, 1, 6, 10, 12, 30 ], [ IntegerRing() | 3, 4, 4, 6, 13, 30 ], [ IntegerRing() | 2, 4, 5, 6, 13, 30 ], [ IntegerRing() | 1, 4, 6, 6, 13, 30 ], [ IntegerRing() | 2, 4, 4, 7, 13, 30 ], [ IntegerRing() | 1, 2, 4, 10, 13, 30 ], [ IntegerRing() | 2, 4, 5, 5, 14, 30 ], [ IntegerRing() | 2, 3, 5, 6, 14, 30 ], [ IntegerRing() | 2, 3, 4, 7, 14, 30 ], [ IntegerRing() | 2, 2, 5, 7, 14, 30 ], [ IntegerRing() | 1, 2, 6, 7, 14, 30 ], [ IntegerRing() | 2, 3, 3, 8, 14, 30 ], [ IntegerRing() | 1, 2, 5, 8, 14, 30 ], [ IntegerRing() | 2, 2, 3, 9, 14, 30 ], [ IntegerRing() | 1, 2, 3, 10, 14, 30 ], [ IntegerRing() | 2, 4, 4, 5, 15, 30 ], [ IntegerRing() | 2, 3, 5, 5, 15, 30 ], [ IntegerRing() | 2, 3, 4, 6, 15, 30 ], [ IntegerRing() | 1, 4, 4, 6, 15, 30 ], [ IntegerRing() | 2, 2, 5, 6, 15, 30 ], [ IntegerRing() | 1, 3, 5, 6, 15, 30 ], [ IntegerRing() | 1, 2, 6, 6, 15, 30 ], [ IntegerRing() | 2, 3, 3, 7, 15, 30 ], [ IntegerRing() | 2, 2, 4, 7, 15, 30 ], [ IntegerRing() | 1, 2, 5, 7, 15, 30 ], [ IntegerRing() | 1, 2, 3, 9, 15, 30 ], [ IntegerRing() | 1, 2, 2, 10, 15, 30 ], [ IntegerRing() | 1, 1, 3, 10, 15, 30 ], [ IntegerRing() | 3, 6, 7, 7, 8, 31 ], [ IntegerRing() | 3, 4, 7, 8, 9, 31 ], [ IntegerRing() | 1, 6, 7, 7, 10, 31 ], [ IntegerRing() | 1, 5, 7, 8, 10, 31 ], [ IntegerRing() | 1, 4, 7, 9, 10, 31 ], [ IntegerRing() | 1, 3, 7, 10, 10, 31 ], [ IntegerRing() | 3, 4, 4, 9, 11, 31 ], [ IntegerRing() | 2, 4, 5, 9, 11, 31 ], [ IntegerRing() | 1, 4, 6, 9, 11, 31 ], [ IntegerRing() | 2, 3, 7, 7, 12, 31 ], [ IntegerRing() | 1, 3, 7, 8, 12, 31 ], [ IntegerRing() | 1, 1, 7, 10, 12, 31 ], [ IntegerRing() | 3, 4, 5, 6, 13, 31 ], [ IntegerRing() | 2, 5, 5, 6, 13, 31 ], [ IntegerRing() | 1, 5, 6, 6, 13, 31 ], [ IntegerRing() | 1, 3, 5, 9, 13, 31 ], [ IntegerRing() | 1, 2, 5, 10, 13, 31 ], [ IntegerRing() | 3, 3, 4, 7, 14, 31 ], [ IntegerRing() | 1, 3, 6, 7, 14, 31 ], [ IntegerRing() | 1, 3, 4, 9, 14, 31 ], [ IntegerRing() | 1, 3, 3, 10, 14, 31 ], [ IntegerRing() | 1, 4, 5, 6, 15, 31 ], [ IntegerRing() | 1, 3, 5, 7, 15, 31 ], [ IntegerRing() | 1, 3, 4, 8, 15, 31 ], [ IntegerRing() | 1, 2, 5, 8, 15, 31 ], [ IntegerRing() | 1, 1, 6, 8, 15, 31 ], [ IntegerRing() | 1, 2, 4, 9, 15, 31 ], [ IntegerRing() | 1, 2, 3, 10, 15, 31 ], [ IntegerRing() | 1, 1, 4, 10, 15, 31 ], [ IntegerRing() | 4, 6, 7, 7, 8, 32 ], [ IntegerRing() | 4, 5, 7, 8, 8, 32 ], [ IntegerRing() | 4, 5, 7, 7, 9, 32 ], [ IntegerRing() | 2, 5, 8, 8, 9, 32 ], [ IntegerRing() | 2, 5, 6, 9, 10, 32 ], [ IntegerRing() | 2, 4, 5, 10, 11, 32 ], [ IntegerRing() | 2, 3, 6, 10, 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