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HNF is slow?? #389

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HNF is slow??#389
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performance
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flint-2.10
@wbhart

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@wbhart
wbhart
opened on Oct 9, 2017

Both the Flint and Generic HNF and SNF functions are slow, according to Frank Lubeck.

The 242x242 matrix below takes about 50 times longer in Flint than in Gap, and the latter is written using generic Gap code.

ZZ[51 -12 12 -3 27 -18 5 5 6 -6 2 2 12 9 -12 1 -9 -3 21 -9 25 4 -6 1 1 12 9 13 8 -7 -3 -1 7 5 21 -9 25 4 -6 1 12 1 9 13 8 -7 -3 1 -5 2 14 14 -3 -3 1 -2 9 9 4 6 -1 -1 -1 7 5 -1 12 9 3 6 1 1 0 0 -15 0 -3 -1 -1 5 6 6 0 4 0 0 -1 -6 2 0 5 6 6 0 4 0 0 -1 -6 0 1 4 4 0 1 2 12 9 3 -1 6 5 5 15 3 3 2 4 2 6 1 1 13 -4 6 -2 0 -7 -4 3 2 1 -2 4 6 9 -6 10 -2 4 4 1 -13 -3 13 -5 3 1 0 2 3 -3 1 5 5 2 4 6 -6 4 -1 0 -6 1 1 0 1 2 3 0 0 3 1 -6 9 -2 1 13 -4 6 -2 0 -7 -4 4 6 9 -6 -2 10 4 1 4 -13 -3 13 -5 3 2 4 6 -6 3 2 1 -2 1 0 2 3 -3 1 5 5 4 -1 0 -6 1 1 2 0 3 0 3 1 0 1 -6 9 -2 1 0 0 0 3 -1 3 -1 2 2 0;-12 30 -12 1 -6 36 -8 -8 -6 9 -4 -4 0 0 0 -1 0 0 -5 24 -4 -4 12 -2 -3 -2 -1 -4 -2 1 1 3 -1 -1 -5 24 -4 -4 12 -3 -2 -2 -1 -4 -2 1 1 -1 12 3 -3 -3 1 0 -1 3 -3 -3 -1 -2 0 0 3 -1 -1 0 -3 12 -3 9 -2 -2 0 0 3 -12 3 2 2 6 -1 0 0 0 0 0 -6 1 0 0 6 -1 0 0 0 0 0 -6 1 0 0 0 0 0 0 0 -3 12 -3 3 9 -2 -2 -3 -2 -2 3 -1 3 3 0 0 -4 10 -2 8 1 4 2 -1 4 1 1 -4 -2 -2 12 -4 8 -4 -3 0 4 2 -4 2 -2 -1 3 2 1 1 1 -1 -1 -2 -2 -1 2 -1 4 2 2 -4 1 0 -1 3 -1 2 0 -1 0 1 -12 2 3 -4 10 -2 8 1 4 2 -4 -2 -2 12 8 -4 -4 0 -3 4 2 -4 2 -2 -2 -2 -1 2 -1 4 1 1 -1 3 2 1 1 1 -1 -1 -1 4 2 2 -4 -1 3 2 -1 0 -1 1 0 0 1 -12 2 3 0 0 0 -1 4 -1 4 -2 0 0;12 -12 48 -1 6 -36 20 20 24 -18 8 8 -9 -6 9 3 6 0 5 -12 7 16 -16 4 8 6 -3 19 10 1 -3 -2 2 4 5 -12 7 16 -16 8 6 4 -3 19 10 1 -3 4 -7 -2 5 5 -2 3 4 2 10 10 1 4 1 1 -2 2 4 1 3 -3 12 -6 6 6 -9 -6 0 -6 -12 -6 -6 -2 2 0 0 0 -4 0 -2 -2 0 0 -2 2 0 0 0 0 -4 -2 -2 0 0 0 0 -1 -1 0 3 -3 12 1 -6 4 4 0 6 6 -1 1 -1 0 0 0 4 -4 2 4 2 -10 -4 1 -1 1 -2 16 2 2 -12 7 4 16 5 8 -7 -6 7 -3 6 4 -4 2 3 -2 5 0 0 8 4 3 -4 1 -1 2 -4 1 0 0 4 -2 2 2 -4 2 -1 -1 6 -8 -4 4 -4 2 4 2 -10 -4 16 2 2 -12 4 7 16 8 5 -7 -6 7 -3 6 8 4 3 -4 1 -1 1 -2 4 -4 2 3 -2 5 0 0 1 -1 2 -4 1 4 -2 2 2 -4 2 0 0 -1 -1 6 -8 -4 0 0 0 1 2 1 2 8 -2 0;-3 1 -1 81 15 -1 -15 -15 2 -2 -6 -6 9 9 -2 -27 -5 -3 -18 3 2 12 -6 0 36 9 -54 13 10 6 18 0 -6 -12 -18 3 2 12 -6 36 9 0 -54 13 10 6 18 -7 9 4 -12 -12 21 -1 -17 8 -27 -27 -1 -10 -3 7 0 -6 -12 -3 0 0 9 0 27 27 -10 -4 9 0 -3 -9 -9 0 -6 1 8 -2 12 12 0 6 0 -2 0 -6 1 8 -2 12 12 0 6 1 0 3 3 -8 1 0 -3 1 1 27 4 -3 -3 -9 -9 -9 -3 -1 -3 0 9 9 9 -2 -18 2 1 3 12 0 3 -3 0 2 27 12 -3 3 -6 -1 -12 -3 -3 15 -4 9 -3 3 -6 9 4 -9 6 -3 -3 6 18 8 -18 0 3 -6 0 1 0 -1 3 0 9 9 -5 3 0 9 3 -6 -18 9 -2 -18 2 1 3 12 2 27 12 -3 -6 3 -1 -3 -12 -3 15 -4 9 -3 6 18 8 -18 0 3 -3 0 3 -6 9 4 -9 6 -3 -3 0 3 -6 0 1 3 0 9 9 -5 3 0 -1 0 9 3 -6 -18 -6 3 2 -9 -2 -9 -2 -2 18 0;27 -6 6 15 81 -24 0 0 18 -18 6 6 18 27 -18 -5 -27 -9 18 -6 12 6 -12 1 9 36 0 14 24 -6 0 -1 6 3 18 -6 12 6 -12 9 36 1 0 14 24 -6 0 3 -3 6 12 12 -9 1 -5 2 3 3 0 -6 0 -3 -1 6 3 0 0 9 9 18 9 9 0 0 27 -12 3 -1 -1 6 0 4 4 8 4 4 -4 12 2 0 6 0 4 4 8 4 4 -4 12 2 1 5 5 0 3 2 0 9 9 5 18 3 3 -27 -3 -3 3 0 3 0 4 4 6 -2 18 -6 0 -6 -12 3 0 3 -2 2 12 27 -8 3 -3 12 12 3 -3 -9 3 -3 9 3 0 4 9 -9 3 3 3 3 8 18 -9 0 0 0 6 -2 0 0 3 6 3 3 0 9 2 -9 6 0 -3 6 -2 18 -6 0 -6 -12 2 12 27 -8 -3 3 12 3 12 -3 -9 3 -3 9 3 8 18 -9 3 0 3 -2 3 0 4 9 -9 3 3 3 0 0 0 6 -2 3 6 3 3 0 9 0 0 2 -9 6 0 -3 0 0 0 9 -3 9 -3 6 6 0;-18 36 -36 -1 -24 108 -12 -12 -36 54 -16 -16 9 6 -9 1 -6 0 -9 36 -9 -16 48 -4 -8 -12 5 -15 -14 -3 -1 6 -3 -4 -9 36 -9 -16 48 -8 -12 -4 5 -15 -14 -3 -1 -2 21 6 -6 -6 4 -9 2 -6 -6 -6 -1 0 -3 1 6 -3 -4 -3 -3 9 -6 18 -2 -2 9 6 -6 18 0 -2 -2 6 -2 0 0 0 4 0 6 0 0 0 6 -2 0 0 0 0 4 6 0 0 0 0 0 1 3 0 -3 9 -6 -3 18 0 0 6 2 2 3 -1 3 0 0 0 -6 12 -8 24 6 6 8 -2 6 4 2 -12 -5 -8 36 -6 12 -24 -12 0 9 12 -9 5 -12 -4 12 2 0 5 -4 -3 -4 -8 -5 -6 7 -1 3 4 0 3 1 0 -2 6 -1 2 4 -4 3 3 -18 8 4 -6 12 -8 24 6 6 8 -12 -5 -8 36 12 -6 -24 0 -12 9 12 -9 5 -12 -8 -5 -6 7 -2 6 4 2 -4 12 2 0 5 -4 -3 -4 -1 3 4 0 3 -2 6 2 -1 4 -4 1 0 3 3 -18 8 4 0 0 0 -4 12 -4 12 -12 0 0;5 -8 20 -15 0 -12 76 1 8 -4 40 -2 0 0 9 9 6 0 4 -28 7 -8 -16 16 -12 6 15 19 10 -7 -9 -8 2 4 6 -4 -14 8 -3 24 -12 0 10 -38 -20 2 -6 5 -12 0 3 7 -5 12 10 5 -2 17 2 8 4 1 0 -4 -8 4 1 -2 6 -2 18 -5 18 12 2 2 -6 -18 3 -6 3 -6 -4 -4 4 -4 6 -5 -2 0 0 -4 0 0 0 0 8 0 4 0 0 0 -4 2 0 0 2 -5 4 -3 -4 20 -1 4 18 3 -5 1 -1 -1 0 -1 13 -4 13 4 2 -38 -20 4 -1 1 -8 7 3 -4 -5 25 -2 5 27 1 -10 -9 14 -15 12 -2 -5 -3 3 0 5 -4 0 4 12 -6 -2 3 2 6 -12 -8 1 0 2 -1 6 1 8 4 0 4 14 4 6 -2 8 3 -8 -4 1 -2 4 -6 -1 4 28 -2 8 24 1 2 -3 2 3 6 -4 -6 3 6 0 2 -2 0 2 2 6 -6 2 -10 1 -1 0 2 -4 0 -2 2 2 6 -2 8 1 0 0 0 -3 2 -4 -12 -2 -2 -4 5 2 0 -4 4 -6 -1;5 -8 20 -15 0 -12 1 76 8 -4 -2 40 0 0 9 9 6 0 6 -4 -14 8 -3 0 24 -12 10 -38 -20 2 -6 0 -4 -8 4 -28 7 -8 -16 -12 6 16 15 19 10 -7 -9 5 -12 0 7 3 -5 12 10 5 17 -2 2 8 4 -2 -8 2 4 4 1 -2 6 -2 -5 18 18 12 2 2 -6 3 -18 0 -4 0 0 0 8 0 0 4 0 0 -6 3 -6 -4 -4 -4 4 6 -5 0 0 -4 0 2 0 -2 2 -5 4 -3 -4 -1 20 4 3 18 -1 -2 -5 -1 -1 0 -2 8 3 -8 -4 1 -2 0 2 -2 0 4 -6 -1 4 -2 28 8 1 24 2 -3 2 3 6 2 2 6 -6 2 -10 1 -1 -4 -6 3 6 0 2 -4 0 -2 0 0 2 2 -2 6 8 1 0 -3 2 -4 -12 13 -4 13 4 2 -38 -20 7 3 -4 -5 -2 25 5 1 27 -10 -9 14 -15 12 4 12 -6 -2 4 -1 1 -8 -2 -5 -3 3 0 5 -4 0 3 2 6 -12 -8 2 -1 1 6 8 4 1 0 0 4 14 4 6 -2 -2 -4 0 -4 5 2 4 -6 -1;6 -6 24 2 18 -36 8 8 48 -36 20 20 -6 -9 6 -3 9 0 4 -8 4 16 -24 4 8 12 -6 10 19 4 3 -2 2 4 4 -8 4 16 -24 8 12 4 -6 10 19 4 3 0 -6 0 3 3 -2 4 -8 12 4 4 0 -2 2 -1 -2 2 4 2 0 0 0 0 0 0 -6 -9 6 -12 12 6 6 0 0 0 0 0 -4 0 -8 4 0 0 0 0 0 0 0 0 -4 -8 4 0 0 0 0 0 0 0 0 0 0 4 0 -2 -2 -6 -6 -6 0 0 0 0 0 0 2 -2 6 -4 4 -4 -10 1 -1 1 -2 8 3 6 -12 3 0 32 13 16 -4 -12 4 -6 12 4 -6 2 3 -4 5 2 6 8 4 6 -5 0 0 0 2 -2 0 0 0 0 0 0 -6 2 -2 -2 4 -8 -4 2 -2 6 -4 4 -4 -10 8 3 6 -12 0 3 32 16 13 -4 -12 4 -6 12 8 4 6 -5 1 -1 1 -2 4 -6 2 3 -4 5 2 6 0 0 0 2 -2 0 0 0 0 -6 2 0 0 -2 -2 4 -8 -4 0 0 0 3 -2 3 -2 16 -3 0;-6 9 -18 -2 -18 54 -4 -4 -36 54 -12 -12 6 9 -6 2 -9 0 -4 12 -4 -12 36 -2 -5 -12 6 -8 -15 -4 -2 3 -2 -3 -4 12 -4 -12 36 -5 -12 -2 6 -8 -15 -4 -2 0 9 0 -3 -3 2 -6 6 -18 -3 -3 0 2 -3 1 3 -2 -3 -3 0 0 0 0 0 0 6 9 -6 18 -9 -4 -4 0 0 0 0 0 4 0 12 -4 0 0 0 0 0 0 0 0 4 12 -4 0 0 0 0 0 0 0 0 0 0 -6 0 2 2 6 4 4 0 0 0 0 0 0 -2 3 -6 12 6 2 6 -1 2 3 1 -6 -3 -6 18 -2 4 -24 -9 0 4 12 -4 3 -12 -3 9 0 -3 4 -9 -2 -3 -6 -3 -6 5 0 0 0 -2 4 0 0 0 0 0 0 6 -2 3 2 -6 6 1 -2 3 -6 12 6 2 6 -6 -3 -6 18 4 -2 -24 0 -9 4 12 -4 3 -12 -6 -3 -6 5 -1 2 3 1 -3 9 0 -3 4 -9 -2 -3 0 0 0 -2 4 0 0 0 0 6 -2 0 0 3 2 -6 6 1 0 0 0 -3 6 -3 6 -12 0 0;2 -4 8 -6 6 -16 40 -2 20 -12 76 1 0 0 6 -9 9 0 1 -16 4 -8 -40 16 -12 12 6 10 19 2 9 -8 2 4 4 -3 -8 8 -5 24 -24 0 4 -20 -38 8 6 3 -9 6 -3 6 -3 7 4 21 -20 14 0 -4 7 -1 0 -4 -8 3 0 0 0 0 0 -2 12 18 2 -4 6 18 -3 0 0 -4 -4 -8 4 -4 -12 4 -2 0 0 0 0 0 0 0 8 0 -8 0 0 0 -3 0 3 0 0 -2 -2 6 -4 2 -4 -2 -18 -3 -2 0 -2 0 0 2 7 -2 25 -4 4 -20 -38 4 -1 1 -8 3 6 -6 -5 13 -3 13 51 3 -5 -19 8 -24 24 -2 -11 -3 3 -6 5 2 18 4 12 -12 -4 0 2 6 6 -8 1 0 0 0 0 2 12 -2 -3 1 8 4 6 -1 4 1 8 -8 -2 1 0 -3 3 -8 16 -3 16 48 3 1 -1 2 -6 6 -4 -6 6 3 0 2 -2 0 2 0 6 -6 1 -10 2 2 0 0 0 0 4 0 0 0 -1 12 1 0 0 0 -2 3 -4 -12 2 -4 -2 11 -2 -1 4 8 -9 0;2 -4 8 -6 6 -16 -2 40 20 -12 1 76 0 0 6 -9 9 0 4 -3 -8 8 -5 0 24 -24 4 -20 -38 8 6 0 -4 -8 1 -16 4 -8 -40 -12 12 16 6 10 19 2 9 3 -9 6 6 -3 -3 7 4 21 14 -20 0 -4 3 2 -8 2 4 7 0 0 0 0 -2 0 12 18 2 -4 6 -3 18 0 0 0 0 0 8 0 0 -8 0 0 0 0 -4 -4 -8 -4 4 -12 4 0 0 -3 0 0 3 -2 0 -2 -2 6 -4 -4 2 -2 -3 -18 -2 0 -2 0 2 0 -1 4 1 8 -8 -2 1 0 2 -2 0 0 -3 3 -8 -3 16 16 3 48 1 -1 2 -6 6 2 0 6 -6 1 -10 2 2 -4 -6 6 3 0 0 0 0 4 0 0 0 0 -1 0 12 1 0 -2 3 -4 -12 7 -2 25 -4 4 -20 -38 3 6 -6 -5 -3 13 13 3 51 -5 -19 8 -24 24 4 12 -12 -4 4 -1 1 -8 -2 -11 -3 3 -6 5 2 18 0 2 6 6 -8 0 0 2 0 12 -2 1 0 -3 1 8 4 6 2 -4 -2 -1 4 11 -2 8 -9 0;12 0 -9 9 18 9 0 0 -6 6 0 0 48 36 -3 -3 -6 -12 6 0 6 -4 4 0 4 8 18 18 12 -2 -6 0 2 4 6 0 6 -4 4 4 8 0 18 18 12 -2 -6 -1 1 3 4 4 3 3 -1 7 9 9 1 4 1 1 0 2 4 1 0 12 9 9 9 9 9 6 9 6 -3 -3 -3 6 0 6 4 4 8 4 2 4 2 0 6 0 6 4 4 4 8 2 4 1 1 5 5 1 3 2 3 3 -3 3 9 1 1 15 3 3 1 1 1 3 4 4 0 0 0 0 0 0 0 0 0 0 0 -3 3 6 3 0 0 -4 0 0 12 18 3 1 2 -1 1 1 2 3 4 1 1 -2 2 4 6 0 0 0 0 0 0 0 3 3 3 3 4 3 2 -3 0 2 -2 0 0 0 0 0 0 0 -3 3 6 3 0 0 -4 0 0 12 18 3 1 2 -2 2 4 6 0 0 0 0 -1 1 1 2 3 4 1 1 0 0 0 0 0 3 3 3 3 4 3 0 0 2 -3 0 2 -2 0 0 0 0 0 0 0 -2 2 0;9 0 -6 9 27 6 0 0 -9 9 0 0 36 54 -6 -3 -9 -18 6 0 4 -4 4 0 4 12 18 12 18 -2 -6 0 2 4 6 0 4 -4 4 4 12 0 18 12 18 -2 -6 1 1 2 4 4 -3 3 5 4 9 9 0 -2 1 -1 0 2 4 1 0 9 9 18 9 9 6 9 9 0 -3 -3 -3 6 0 4 4 8 8 4 2 4 2 0 6 0 4 4 8 4 8 2 4 2 1 5 5 0 1 2 0 3 3 3 6 1 1 -9 3 3 1 0 1 0 4 4 0 0 0 0 0 0 0 0 0 0 0 -2 3 9 2 0 0 -6 0 0 9 27 1 1 3 -1 1 1 3 3 6 1 1 -2 2 6 6 0 0 0 0 0 0 0 3 6 3 3 6 3 2 -3 0 2 -2 0 0 0 0 0 0 0 -2 3 9 2 0 0 -6 0 0 9 27 1 1 3 -2 2 6 6 0 0 0 0 -1 1 1 3 3 6 1 1 0 0 0 0 0 3 6 3 3 6 3 0 0 2 -3 0 2 -2 0 0 0 0 0 0 0 -3 2 0;-12 0 9 -2 -18 -9 9 9 6 -6 6 6 -3 -6 48 0 36 12 -6 -3 0 2 -6 2 2 0 0 0 0 18 6 -1 0 0 -6 -3 0 2 -6 2 0 2 0 0 0 18 6 -3 -2 -3 -3 -3 3 6 1 5 1 1 0 0 2 0 -1 0 0 2 -3 -3 3 -9 3 3 0 0 15 12 -3 -3 -3 -3 0 0 0 0 0 0 7 0 0 0 -3 0 0 0 0 0 0 7 0 -1 -1 -1 -1 0 0 0 0 -12 -9 2 -9 -9 -9 9 -3 -3 -3 0 -3 -3 -3 -3 -3 0 -4 0 0 9 6 -1 0 0 2 3 -3 -6 -3 3 3 4 4 4 3 2 12 4 18 -1 -3 -1 0 3 0 3 -1 1 1 0 3 -1 0 0 4 0 0 0 1 -3 1 1 0 3 1 3 -3 -4 -4 -3 0 -4 0 0 9 6 3 -3 -6 -3 3 3 4 4 4 3 2 12 4 18 1 1 0 3 -1 0 0 2 -1 -3 -1 0 3 0 3 -1 -1 0 0 4 0 1 -3 1 1 0 3 0 0 1 3 -3 -4 -4 0 0 0 -2 0 -2 0 2 2 0;1 -1 3 -27 -5 1 9 9 -3 2 -9 -9 -3 -3 0 54 6 6 6 -3 -1 0 6 0 0 2 18 -3 3 -18 -36 0 0 0 6 -3 -1 0 6 0 2 0 18 -3 3 -18 -36 1 -9 -4 3 3 -7 1 3 -8 9 9 4 24 3 -2 0 0 0 3 0 0 -3 0 -9 -9 6 -6 -3 0 6 18 18 0 2 -1 0 2 0 0 0 -6 0 0 0 2 -1 0 2 0 0 0 -6 -1 0 -3 -3 2 -1 0 1 -1 3 -27 -4 9 9 3 18 18 3 -1 3 0 -9 -9 -3 1 6 -4 1 9 -9 0 0 0 0 1 -9 -4 3 3 3 -2 -6 -6 1 -5 -2 27 7 0 6 0 -1 3 -2 -3 -9 0 0 1 6 0 -1 2 0 3 0 0 -1 0 -3 -3 -4 -1 0 -3 -3 0 0 -3 1 6 -4 1 9 -9 1 -9 -4 3 3 3 -2 -6 -6 1 -5 -2 27 7 0 0 1 6 0 0 0 0 0 6 0 -1 3 -2 -3 -9 0 -1 2 0 3 -1 0 -3 -3 -4 -1 0 0 0 -3 -3 0 0 2 -1 1 3 -2 3 -2 -1 9 0;-9 0 6 -5 -27 -6 6 6 9 -9 9 9 -6 -9 36 6 54 18 -6 -2 0 2 -8 2 2 0 0 0 0 18 6 -1 0 0 -6 -2 0 2 -8 2 0 2 0 0 0 18 6 -3 -3 -6 -3 -3 3 3 1 8 1 1 0 0 2 0 -1 0 0 2 0 -3 -3 -6 -3 -3 0 0 -9 12 9 9 9 -2 0 0 0 0 0 0 4 0 0 0 -2 0 0 0 0 0 0 4 0 -2 -1 -2 -2 0 -3 0 0 -9 -9 -1 -18 -9 -9 9 -3 -3 -3 0 -3 0 -6 -6 -2 0 -6 0 0 6 9 -1 0 0 2 2 -4 -9 -2 2 2 6 6 6 1 3 9 7 27 -1 -5 -1 0 3 0 3 -1 1 1 0 3 0 0 0 -2 0 0 0 -1 -2 -1 -1 0 -3 -1 3 -2 -4 -4 -2 0 -6 0 0 6 9 2 -4 -9 -2 2 2 6 6 6 1 3 9 7 27 1 1 0 3 -1 0 0 2 -1 -5 -1 0 3 0 3 -1 0 0 0 -2 0 -1 -2 -1 -1 0 -3 0 0 -1 3 -2 -4 -4 0 0 0 -3 0 -3 0 3 3 0;-3 0 0 -3 -9 0 0 0 0 0 0 0 -12 -18 12 6 18 30 -2 0 0 0 0 0 0 0 -6 0 0 6 12 0 0 0 -2 0 0 0 0 0 0 0 -6 0 0 6 12 -1 -1 -2 -1 -1 1 -3 -3 -6 -3 -3 0 0 -1 0 0 0 0 -1 0 -3 -3 -6 -3 -3 0 0 -3 12 6 6 6 -2 0 0 0 0 0 0 6 0 0 0 -2 0 0 0 0 0 0 6 0 -2 -1 -2 -2 0 -1 0 0 -3 -3 -3 -6 -3 -3 3 -6 -6 -1 0 -1 0 -6 -6 0 0 0 0 0 0 0 0 0 0 0 0 -1 -3 0 0 0 0 0 0 -3 -9 3 3 9 0 0 0 0 -1 0 1 3 0 0 0 -2 0 0 0 0 0 0 0 -1 -2 -1 -1 0 -1 1 1 0 0 0 0 0 0 0 0 0 0 0 -1 -3 0 0 0 0 0 0 -3 -9 3 3 9 0 0 0 -2 0 0 0 0 0 0 0 0 -1 0 1 3 0 0 0 0 0 -1 -2 -1 -1 0 -1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0;21 -5 5 -18 18 -9 4 6 4 -4 1 4 6 6 -6 6 -6 -2 75 -17 -5 13 -14 4 0 0 36 -3 0 -25 -12 -4 25 19 3 -3 13 -3 -1 -9 9 0 12 6 6 -1 -4 13 -9 -4 50 2 -39 5 3 1 31 3 4 15 -1 -13 0 1 3 3 0 6 0 6 0 -6 1 0 0 -2 0 0 2 18 18 -7 4 -4 1 0 -6 -6 5 6 0 0 4 0 3 0 -3 0 0 4 -1 12 -3 12 1 0 12 0 6 -6 0 14 2 6 6 2 11 4 -1 3 3 -2 -6 1 3 0 0 1 -2 12 -9 -1 -8 -1 -9 9 -2 -3 2 3 2 2 3 0 4 0 0 6 -4 -3 3 -18 3 14 18 -2 -6 6 6 0 -3 0 0 1 3 0 0 3 0 -3 0 0 3 -33 4 -5 0 6 -2 12 -3 0 -6 -8 2 18 -18 1 -6 2 0 -1 8 -6 -18 13 -18 18 6 12 -12 -18 0 2 2 0 2 0 6 -6 -6 -6 2 6 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 3 3 3 9 3 0 -1 -3 3 6 0 0 0 0;-9 24 -12 3 -6 36 -28 -4 -8 12 -16 -3 0 0 -3 -3 -2 0 -17 84 -17 -16 48 -16 -9 -8 -3 -8 -5 1 3 24 -9 -7 -3 12 1 -3 9 -9 1 0 -2 10 4 0 2 0 36 0 -7 -7 7 -36 5 -15 -1 -1 0 -2 -12 3 0 1 3 -12 -1 6 -2 6 -6 1 -6 -4 0 -6 2 6 -1 18 -10 18 -4 12 -4 -3 -18 6 6 -1 0 1 0 0 0 0 -3 0 -1 0 0 0 12 -3 0 0 -4 15 -4 9 12 -8 -3 -2 -6 -1 15 -4 3 3 0 3 -14 8 -8 7 1 14 8 -8 14 3 8 -5 -6 -1 15 -14 4 -6 -13 -1 11 6 -5 6 -5 -5 15 6 -1 9 -1 -5 -9 -2 -6 1 4 -3 -1 -1 6 1 1 1 -1 3 -3 -2 -3 -1 0 1 -42 8 9 -2 8 -3 16 4 2 3 4 -6 2 -12 28 -2 0 8 -1 2 3 4 6 -2 -4 -6 -2 6 0 2 2 0 2 -6 6 2 2 2 2 -2 0 2 4 0 -2 2 -6 6 -2 0 2 0 0 0 0 -6 3 9 3 1 0 -1 -1 0 8 0 0 1;25 -4 7 2 12 -9 7 -14 4 -4 4 -8 6 4 0 -1 0 0 -5 -17 75 3 -10 3 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