/**
Since we use these in the paper, we also enumerate
the filters for for p=2, q=1.
*/

// Primal filter m_0
m_0 = [
    [[1, -1, -3], -1/64],
    [[1, -1, 3], -1/64],
    [[-3, -1, -1], -1/64],
    [[0, -4, 0], -1/32],
    [[1, -1, -1], 7/64],
    [[3, -1, 1], -1/64],
    [[1, 3, 1], -1/64],
    [[1, -3, 1], -1/64],
    [[1, 3, -1], -1/64],
    [[-1, -3, -1], -1/64],
    [[2, -2, 0], -1/32],
    [[-1, 3, 1], -1/64],
    [[2, 2, -2], 1/64],
    [[-1, 1, -1], 7/64],
    [[-2, 2, -2], 1/64],
    [[2, -2, -2], 1/64],
    [[2, 2, 0], -1/32],
    [[-1, -1, -3], -1/64],
    [[1, 1, 1], 7/64],
    [[1, -3, -1], -1/64],
    [[0, 2, 0], 1/8],
    [[1, 1, -1], 7/64],
    [[4, 0, 0], -1/32],
    [[-1, 1, -3], -1/64],
    [[2, 2, 2], 1/64],
    [[0, -2, -2], -1/32],
    [[0, 0, -2], 1/8],
    [[0, 0, 4], -1/32],
    [[-2, 0, 0], 1/8],
    [[2, 0, 0], 1/8],
    [[0, 0, -4], -1/32],
    [[-2, 0, -2], -1/32],
    [[3, 1, 1], -1/64],
    [[0, 0, 2], 1/8],
    [[2, -2, 2], 1/64],
    [[2, 0, -2], -1/32],
    [[2, 0, 2], -1/32],
    [[-4, 0, 0], -1/32],
    [[0, 0, 0], 3/16],
    [[1, 1, -3], -1/64],
    [[-3, 1, 1], -1/64],
    [[3, 1, -1], -1/64],
    [[-1, 1, 3], -1/64],
    [[-1, -1, 3], -1/64],
    [[0, 4, 0], -1/32],
    [[-2, 2, 2], 1/64],
    [[-2, 0, 2], -1/32],
    [[0, 2, 2], -1/32],
    [[-2, -2, 2], 1/64],
    [[0, 2, -2], -1/32],
    [[-1, 3, -1], -1/64],
    [[-1, 1, 1], 7/64],
    [[1, 1, 3], -1/64],
    [[-3, 1, -1], -1/64],
    [[0, -2, 2], -1/32],
    [[-2, -2, 0], -1/32],
    [[-2, -2, -2], 1/64],
    [[-1, -1, 1], 7/64],
    [[3, -1, -1], -1/64],
    [[1, -1, 1], 7/64],
    [[-1, -3, 1], -1/64],
    [[-3, -1, 1], -1/64],
    [[-2, 2, 0], -1/32],
    [[-1, -1, -1], 7/64],
    [[0, -2, 0], 1/8],
];

// Primal filter m_1
m_1 = [
    [[-6, -8, 4], 3/81920],
    [[-7, -3, -5], -65/16384],
    [[7, 1, 3], 29/163840],
    [[0, 0, 8], -39/81920],
    [[1, 1, -3], 1581/32768],
    [[2, 2, -10], 69/40960],
    [[-2, 4, -2], -141/5120],
    [[-4, -6, -6], -213/20480],
    [[-6, -6, -4], -853/81920],
    [[6, -10, -2], 13/8192],
    [[-5, -5, 1], 2707/163840],
    [[-11, -5, 1], -29/163840],
    [[4, -4, -4], -2013/81920],
    [[7, -7, -5], 29/163840],
    [[6, 4, -4], 111/40960],
    [[-8, -8, 0], -7/5120],
    [[0, 6, -2], -3/5120],
    [[3, -3, 3], -1877/81920],
    [[1, -3, 1], 1581/32768],
    [[8, 4, 2], 3/81920],
    [[5, -1, -1], 375/32768],
    [[10, -6, -4], -29/81920],
    [[-8, -2, 4], 107/81920],
    [[11, 1, -5], -29/163840],
    [[-6, -10, -2], 13/8192],
    [[3, 5, 3], 79/163840],
    [[1, -1, -3], -619/40960],
    [[-9, -7, -3], 39/81920],
    [[-6, -6, 6], 17/81920],
    [[6, 4, 4], 3/81920],
    [[2, -10, 2], 69/40960],
    [[2, 2, 4], -25/4096],
    [[-5, -7, 1], 33/163840],
    [[7, 5, -7], 3/163840],
    [[-3, 1, -7], -417/163840],
    [[-3, 5, 3], 79/163840],
    [[7, 3, 3], -21/163840],
    [[5, 1, 3], 33/163840],
    [[3, 1, -3], -1143/163840],
    [[-4, -8, 2], 111/40960],
    [[-10, -4, -4], 61/40960],
    [[-7, 5, -3], 79/163840],
    [[-6, -6, -10], 17/81920],
    [[7, 1, -1], -65/16384],
    [[0, -2, -12], -1/8192],
    [[4, -4, 8], -51/163840],
    [[-1, 5, 3], 63/163840],
    [[6, 6, 0], -7/20480],
    [[4, -2, 6], -9/20480],
    [[13, -3, -3], 3/81920],
    [[3, -11, -5], -33/163840],
    [[2, 0, -8], 923/81920],
    [[5, -7, -7], 3/16384],
    [[7, -3, 3], -803/163840],
    [[0, -8, -4], -2061/81920],
    [[-1, 3, -3], -445/16384],
    [[7, -3, -5], -65/16384],
    [[-4, -12, 0], -51/163840],
    [[-9, -5, -5], 103/81920],
    [[-7, -1, -7], -803/163840],
    [[6, 6, 2], 17/81920],
    [[2, 4, -4], 923/81920],
    [[-7, -7, -9], 3/163840],
    [[8, -8, -2], 107/81920],
    [[6, -8, 2], -1/2048],
    [[5, -5, -3], 67/5120],
    [[-1, -13, -3], -1/32768],
    [[1, -7, 5], 63/163840],
    [[5, -1, -9], 27/16384],
    [[-2, 0, -8], 923/81920],
    [[1, -13, -1], -1/32768],
    [[0, 0, 6], 83/40960],
    [[0, -6, 2], -1267/40960],
    [[1, -1, 9], -1/32768],
    [[-5, -3, -1], 375/32768],
    [[-1, 7, 1], -49/163840],
    [[-2, -2, 8], 1/4096],
    [[4, -2, 8], -1/16384],
    [[3, -9, -3], 173/40960],
    [[-10, -2, -4], -41/40960],
    [[-9, -3, 3], 39/81920],
    [[5, -11, -5], -7/40960],
    [[8, 0, -2], 623/81920],
    [[1, -9, -5], 191/81920],
    [[-10, 0, -4], 61/40960],
    [[1, -9, 3], 63/163840],
    [[-8, -8, -8], -3/163840],
    [[-5, -5, -3], 67/5120],
    [[10, 0, -2], -41/40960],
    [[10, 0, 2], -29/81920],
    [[4, 2, 2], -213/20480],
    [[-4, -4, -4], -2013/81920],
    [[6, -4, -4], 407/16384],
    [[-2, -2, -2], 39471/40960],
    [[-8, 2, -6], -41/81920],
    [[9, -3, -5], 287/163840],
    [[-3, -5, -3], -1143/163840],
    [[-5, -5, 7], -7/40960],
    [[-7, -5, -9], -5/32768],
    [[-6, -8, -4], 111/40960],
    [[-2, 0, 6], -13/20480],
    [[12, -2, -4], 3/40960],
    [[-1, -5, 3], -1419/163840],
    [[3, -5, -7], -417/163840],
    [[-6, 4, -4], 111/40960],
    [[10, -2, 0], -41/40960],
    [[-1, 1, 7], -49/163840],
    [[4, 2, -2], -13/320],
    [[-3, -9, -1], 173/40960],
    [[4, -4, 6], 107/81920],
    [[10, 0, -6], -29/81920],
    [[-1, 1, -1], 1581/32768],
    [[-5, -11, 1], -7/40960],
    [[-9, -5, -3], 287/163840],
    [[1, -11, -3], -7/81920],
    [[-6, 4, 4], 3/81920],
    [[5, -9, 1], 199/163840],
    [[-2, 2, -6], 1579/81920],
    [[-8, -2, -4], 623/81920],
    [[-2, -4, -8], 923/81920],
    [[4, 0, 4], -253/32768],
    [[8, -4, 2], 113/40960],
    [[-2, -4, 6], -13/20480],
    [[2, -4, 4], 923/81920],
    [[2, -4, -2], -1681/10240],
    [[-8, -4, 0], -981/163840],
    [[7, -7, 1], 29/163840],
    [[0, 2, -2], -1883/20480],
    [[-1, -1, 7], -7/81920],
    [[10, -2, -4], -41/40960],
    [[-9, -1, -5], 287/163840],
    [[-7, -7, -7], -21/163840],
    [[9, 3, 1], -13/81920],
    [[-6, -4, -6], -853/81920],
    [[-12, 0, -2], 3/40960],
    [[5, 1, -9], 199/163840],
    [[0, -2, -2], -23131/10240],
    [[-10, -4, 2], -29/81920],
    [[-3, -3, -11], 7/163840],
    [[4, -10, -6], -7/20480],
    [[9, 3, -3], 39/81920],
    [[-2, -10, -6], 69/40960],
    [[-8, -4, -4], -981/163840],
    [[-1, -3, -5], 1581/32768],
    [[-2, -6, 4], -25/4096],
    [[5, -1, -7], -401/163840],
    [[8, 2, -2], -243/40960],
    [[-13, -3, -1], 3/81920],
    [[-5, -7, -5], 33/163840],
    [[-1, -1, -11], -7/81920],
    [[-7, 1, -3], -65/16384],
    [[6, -8, -8], 3/81920],
    [[-2, 0, -4], 10813/81920],
    [[2, 0, 8], -1/16384],
    [[-2, -4, -12], -1/16384],
    [[7, 5, -1], 79/163840],
    [[-4, -2, 6], -9/20480],
    [[6, 2, -2], 147/20480],
    [[-1, -9, -3], 799/163840],
    [[-8, -6, 2], -41/81920],
    [[0, -4, 4], -2061/81920],
    [[-6, -8, 2], -1/2048],
    [[5, -3, 3], -401/163840],
    [[11, -1, 1], -23/163840],
    [[7, 1, -5], 1/4096],
    [[7, -1, -1], -1937/163840],
    [[-5, 1, 5], 199/163840],
    [[-7, -5, -7], 29/163840],
    [[-4, 0, 0], -2013/81920],
    [[-3, -5, -9], 127/81920],
    [[4, 8, 0], -51/163840],
    [[0, -10, -4], 83/40960],
    [[-2, 2, -4], -2289/40960],
    [[-5, 5, -5], 199/163840],
    [[-2, -12, -4], -1/16384],
    [[-2, -8, -8], 107/81920],
    [[6, -6, 0], -853/81920],
    [[1, -5, -7], -1419/163840],
    [[3, -1, 3], -1877/81920],
    [[-3, -3, -3], -5729/81920],
    [[3, -3, -13], -1/32768],
    [[-11, -3, -1], -71/163840],
    [[3, 3, 5], 79/163840],
    [[-5, 1, -3], 67/5120],
    [[3, -3, -3], -5729/81920],
    [[-2, -12, 0], -1/16384],
    [[-2, 2, 2], 1579/81920],
    [[-3, -7, 5], 79/163840],
    [[4, -8, -2], 859/81920],
    [[0, -4, -10], 83/40960],
    [[9, -5, -5], 103/81920],
    [[-8, -6, -8], 3/81920],
    [[5, 1, -1], 67/5120],
    [[11, -3, -3], -71/163840],
    [[0, 6, -6], -11/20480],
    [[-4, -2, -12], -1/16384],
    [[3, -13, -3], -1/32768],
    [[-10, -6, -4], -29/81920],
    [[1, 3, 3], -73/16384],
    [[7, 3, -3], -803/163840],
    [[6, 2, 0], -853/81920],
    [[-6, -10, -6], 17/81920],
    [[1, -1, -7], -445/16384],
    [[-4, -10, 2], -7/20480],
    [[-2, -4, -2], -1681/10240],
    [[6, 4, 0], 111/40960],
    [[-5, -1, -3], 375/32768],
    [[2, 6, -2], 63/8192],
    [[-6, -8, -6], -1/2048],
    [[-3, -11, -3], 7/163840],
    [[-2, -10, 0], -13/20480],
    [[7, -5, -3], -65/16384],
    [[0, -12, 0], -39/81920],
    [[4, -10, 0], 107/81920],
    [[-3, 1, -11], -33/163840],
    [[-4, -4, -8], -253/32768],
    [[8, -2, -4], 623/81920],
    [[3, 1, -7], -417/163840],
    [[4, 2, 6], -7/20480],
    [[-7, 5, -7], 3/163840],
    [[-9, -1, 1], 287/163840],
    [[-4, -8, -6], 111/40960],
    [[-1, -1, -5], 1581/32768],
    [[0, -2, 0], 8749/40960],
    [[-9, -7, 1], -13/81920],
    [[-8, 4, 2], 3/81920],
    [[-6, 0, -8], 111/40960],
    [[2, -4, -10], -13/20480],
    [[-11, 1, -5], -29/163840],
    [[3, 5, -1], 173/40960],
    [[-1, 3, 3], -73/16384],
    [[4, 0, -10], 107/81920],
    [[-10, 0, -6], -29/81920],
    [[3, 9, -3], -1/32768],
    [[2, -2, 8], 1/4096],
    [[7, 1, 5], -5/32768],
    [[2, 0, 2], -2289/40960],
    [[0, -8, -8], -39/16384],
    [[1, 9, -3], -1/32768],
    [[-9, 3, -1], 39/81920],
    [[8, -4, -4], -981/163840],
    [[-5, 5, -3], 27/16384],
    [[-4, 4, -4], -253/32768],
    [[-8, 2, -2], -243/40960],
    [[-7, -3, -3], -1937/163840],
    [[3, -7, -1], -1877/81920],
    [[-6, 2, -2], 147/20480],
    [[-1, 1, -11], -49/163840],
    [[8, -8, -6], 3/81920],
    [[2, 0, -2], -1681/10240],
    [[-10, 2, -2], 71/40960],
    [[12, -4, -2], 3/40960],
    [[-5, -5, -9], 199/163840],
    [[2, 0, 0], 10813/81920],
    [[10, 0, -4], 61/40960],
    [[-1, -5, -3], 1581/32768],
    [[-3, 9, -3], -1/32768],
    [[0, 0, 2], 977/10240],
    [[10, 2, -6], 7/32768],
    [[-8, 2, 0], 113/40960],
    [[-6, 0, 6], -7/20480],
    [[-5, -3, -3], 375/32768],
    [[4, -6, -4], 1143/40960],
    [[-4, -4, 6], 107/81920],
    [[3, -9, -7], 79/163840],
    [[-5, 5, 1], 199/163840],
    [[-4, 6, -2], -9/20480],
    [[-5, -9, 3], -5/32768],
    [[8, 0, -6], 113/40960],
    [[12, 0, 0], -1/2560],
    [[8, 0, 4], -7/5120],
    [[-1, -3, -1], -619/40960],
    [[-7, -9, -1], 79/163840],
    [[3, -9, 1], 127/81920],
    [[-4, -8, -8], -111/81920],
    [[4, 4, -8], -111/81920],
    [[6, 0, 4], 111/40960],
    [[-2, -2, -14], -1/16384],
    [[-8, -2, 2], -243/40960],
    [[0, 0, -4], 2531/81920],
    [[-2, -4, 4], 923/81920],
    [[5, -7, -9], -5/32768],
    [[1, -7, -7], -73/16384],
    [[12, -4, 0], -1/2560],
    [[-5, -3, -11], -33/163840],
    [[-10, -4, -2], -41/40960],
    [[8, -8, 4], -3/163840],
    [[-3, -3, -1], -5729/81920],
    [[6, -2, 0], -231/8192],
    [[-4, 4, 2], 111/40960],
    [[3, -7, -5], -417/163840],
    [[-2, 2, -10], 69/40960],
    [[-6, 2, -6], 1047/163840],
    [[1, -5, -1], 1581/32768],
    [[4, 0, 8], -51/163840],
    [[-7, 3, 3], -21/163840],
    [[-5, -5, -1], 67/5120],
    [[-3, -5, 3], -417/163840],
    [[-11, -3, -5], -23/163840],
    [[2, -4, 8], -1/16384],
    [[-3, 1, -3], -1143/163840],
    [[-8, -4, 4], -7/5120],
    [[5, 5, -3], 27/16384],
    [[-4, -2, 2], -13/320],
    [[4, -2, -8], 859/81920],
    [[9, -1, 1], 287/163840],
    [[-7, -7, -3], -803/163840],
    [[5, 5, 1], 199/163840],
    [[3, 1, 5], 127/81920],
    [[-3, -3, -7], -1877/81920],
    [[-7, 5, -1], 79/163840],
    [[9, 3, -7], 3/163840],
    [[-13, -1, -1], 3/81920],
    [[0, -12, -2], -1/8192],
    [[1, 3, 1], -1419/163840],
    [[-2, -10, -2], 63/8192],
    [[-1, -3, -9], 799/163840],
    [[2, 6, 0], -13/20480],
    [[5, -1, -3], 375/32768],
    [[-4, -8, -2], 859/81920],
    [[-6, 4, 2], -1/2048],
    [[-4, -10, -4], 107/81920],
    [[3, -5, -11], -33/163840],
    [[1, -1, 7], -7/81920],
    [[-5, -7, -9], -5/32768],
    [[6, -4, -10], -7/20480],
    [[6, -2, 4], -121/20480],
    [[-9, -7, -1], 39/81920],
    [[-5, -7, -3], -401/163840],
    [[1, 3, -5], -1419/163840],
    [[-6, -6, -8], -1/2048],
    [[-3, 9, -1], -1/32768],
    [[-10, -6, 2], 7/32768],
    [[4, -6, -10], -7/20480],
    [[0, -6, -8], 39/8192],
    [[-3, 1, -1], -1143/163840],
    [[1, 1, -7], -1419/163840],
    [[11, -3, 1], -23/163840],
    [[-1, -11, 1], -49/163840],
    [[3, 1, -1], -1143/163840],
    [[9, -5, 3], -13/81920],
    [[0, -4, 8], -39/81920],
    [[8, 4, -4], -7/5120],
    [[1, 1, 5], 191/81920],
    [[9, 1, -3], 287/163840],
    [[7, 3, -7], -21/163840],
    [[-11, 1, -3], -23/163840],
    [[1, 1, 1], 1111/16384],
    [[4, -4, 2], 1143/40960],
    [[9, -7, -1], 39/81920],
    [[-3, 7, -5], -33/163840],
    [[-6, -6, 2], 1047/163840],
    [[-5, 1, 1], 2707/163840],
    [[-2, 6, -2], 63/8192],
    [[-3, -5, -5], 583/81920],
    [[-4, 8, -4], -51/163840],
    [[2, -8, 0], 923/81920],
    [[-3, -1, 3], -1877/81920],
    [[1, -5, 5], 191/81920],
    [[6, -6, -2], 147/20480],
    [[2, -12, -2], 1/4096],
    [[1, -5, -11], -49/163840],
    [[0, -10, 2], -11/20480],
    [[4, 8, -2], -1/16384],
    [[3, -3, -9], 173/40960],
    [[-5, 1, -7], 33/163840],
    [[-4, -4, 0], -2013/81920],
    [[1, -3, 9], -1/32768],
    [[-4, -2, 4], 859/81920],
    [[-11, -1, 1], -23/163840],
    [[-4, -6, -2], -13/320],
    [[0, 4, 2], 39/8192],
    [[6, -8, -2], -121/20480],
    [[-8, -6, -4], 113/40960],
    [[-1, -11, -5], -49/163840],
    [[5, -1, 5], 27/16384],
    [[-1, -9, 3], 63/163840],
    [[5, -5, -1], 67/5120],
    [[2, 6, -4], -13/20480],
    [[-4, 2, 4], 111/40960],
    [[6, 2, -8], -1/2048],
    [[1, 5, -1], 799/163840],
    [[-4, -8, -4], -253/32768],
    [[2, 0, 6], -13/20480],
    [[-7, -3, -7], -803/163840],
    [[-1, -7, -1], -445/16384],
    [[-1, -1, 9], -1/32768],
    [[-5, -7, 3], 3/16384],
    [[-3, -7, -3], -1877/81920],
    [[-4, 2, -8], 111/40960],
    [[5, 3, -5], 33/163840],
    [[5, -1, 7], -33/163840],
    [[-2, -6, -6], 1579/81920],
    [[-1, -3, 5], 799/163840],
    [[3, -1, -7], -1877/81920],
    [[6, -6, -6], 1047/163840],
    [[-9, -3, 1], 287/163840],
    [[2, -2, -10], 63/8192],
    [[-5, -3, 5], 27/16384],
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    [[-7, -5, 3], 29/163840],
    [[1, -7, 1], -1419/163840],
    [[3, 5, -7], 79/163840],
    [[2, -10, -6], 69/40960],
    [[8, -2, -8], 107/81920],
    [[7, 3, -1], -803/163840],
    [[3, -5, -1], -1143/163840],
    [[-1, -7, -5], -1419/163840],
    [[11, 1, 1], -29/163840],
    [[-12, -4, -2], 3/40960],
    [[5, -3, -3], 375/32768],
    [[2, -6, -6], 1579/81920],
    [[10, -6, 0], -29/81920],
    [[-4, 0, -2], 2811/40960],
    [[-2, 0, 0], 10813/81920],
    [[-6, -4, -8], 111/40960],
    [[0, 6, 2], -11/20480],
    [[-8, -8, -4], -7/5120],
    [[-10, 0, -2], -41/40960],
    [[4, -2, -6], -13/320],
    [[-4, 0, -8], -253/32768],
    [[0, 6, -4], 83/40960],
    [[2, 2, -6], 1579/81920],
    [[4, 6, -6], -7/20480],
    [[1, 1, 7], -49/163840],
    [[4, -6, 2], -213/20480],
    [[0, 0, -12], -39/81920],
    [[8, -6, -4], 113/40960],
    [[-9, -7, -5], -13/81920],
    [[5, 5, 3], -5/32768],
    [[-3, 3, 5], 79/163840],
    [[3, -11, -1], 7/163840],
    [[7, -9, -3], 79/163840],
    [[-3, -1, 9], -1/32768],
    [[6, -6, -8], -1/2048],
    [[-8, -4, -6], 113/40960],
    [[-2, -8, -4], 923/81920],
    [[8, 2, -8], 3/81920],
    [[9, -3, -7], 39/81920],
    [[-10, 2, -6], 7/32768],
    [[2, -2, -6], 305/16384],
    [[-1, 1, 3], -1419/163840],
    [[5, 3, -7], 3/16384],
    [[-3, -9, 3], 79/163840],
    [[10, -4, 2], -29/81920],
    [[-2, 0, -10], -13/20480],
    [[-3, 5, -3], 173/40960],
    [[8, 2, -4], 113/40960],
    [[0, -4, -4], 2531/81920],
    [[3, 5, -5], 127/81920],
    [[2, -2, -2], 39471/40960],
    [[0, -4, -8], -2061/81920],
    [[4, -8, -8], -111/81920],
    [[2, 0, -4], 10813/81920],
    [[4, 6, -2], -9/20480],
    [[-3, -5, -1], -1143/163840],
    [[6, 2, 2], 1047/163840],
    [[-7, 3, -1], -803/163840],
    [[-2, -4, -4], 10813/81920],
    [[1, -7, -3], -445/16384],
    [[0, -2, 6], -3/5120],
    [[-7, -3, -9], 79/163840],
    [[8, -4, -2], 623/81920],
    [[-1, -1, 3], -445/16384],
    [[3, 7, -5], -33/163840],
    [[4, -8, -4], -253/32768],
    [[5, -11, -1], -33/163840],
    [[1, -9, -1], 799/163840],
    [[-3, -3, -9], 173/40960],
    [[-8, -4, 2], 113/40960],
    [[-9, -3, -5], 287/163840],
    [[-5, -9, -1], 27/16384],
    [[-1, 3, 1], -1419/163840],
    [[-7, -9, -3], 79/163840],
    [[-3, -7, 1], -417/163840],
    [[-8, -8, -6], 3/81920],
    [[-5, -3, -7], -401/163840],
    [[-2, 0, -12], -1/16384],
    [[8, 4, -2], 107/81920],
    [[-3, -1, -7], -1877/81920],
    [[-7, -3, 5], 79/163840],
    [[0, -2, -6], -1883/20480],
    [[-4, -2, -6], -13/320],
    [[-6, -2, -6], 147/20480],
    [[6, 4, -2], -121/20480],
    [[4, -6, -2], -13/320],
    [[-4, 0, 4], -253/32768],
    [[-5, 3, -7], 3/16384],
    [[11, -5, -5], -29/163840],
    [[5, -7, -3], -401/163840],
    [[-2, 2, -8], -25/4096],
    [[0, 4, -8], -39/16384],
    [[-7, -1, 5], 79/163840],
    [[5, -7, 5], -5/32768],
    [[8, 2, 4], 3/81920],
    [[6, 2, 6], 17/81920],
    [[-2, -6, 2], 1579/81920],
    [[1, -3, -11], -7/81920],
    [[10, -4, -2], -41/40960],
    [[-3, -9, -7], 79/163840],
    [[1, -11, 1], -49/163840],
    [[-5, -1, 5], 27/16384],
    [[-12, -2, 0], 3/40960],
    [[-2, 6, 0], -13/20480],
    [[-6, 4, 0], 111/40960],
    [[-4, -6, 0], 1143/40960],
    [[9, -3, 3], 39/81920],
    [[3, -3, 1], -1143/163840],
    [[7, -3, -1], -1937/163840],
    [[-4, -4, -2], 2811/40960],
    [[2, -4, 2], -2289/40960],
    [[6, -6, 4], -1/2048],
    [[1, -5, -3], 1581/32768],
    [[-2, -4, -6], -2289/40960],
    [[-3, -13, -1], -1/32768],
    [[-3, -5, 7], -33/163840],
    [[-1, 5, -1], 799/163840],
    [[8, -6, 4], 3/81920],
];

// Primal filter m_2
m_2 = [
    [[-7, -3, -5], -417/163840],
    [[-7, 7, -5], 29/163840],
    [[0, 0, 8], -39/81920],
    [[1, 1, -3], 1581/32768],
    [[-2, -2, -10], 63/8192],
    [[2, -8, -2], -243/40960],
    [[-5, -7, -7], 29/163840],
    [[4, 2, -6], -25/4096],
    [[6, 6, -4], -7/20480],
    [[-6, 10, -2], 71/40960],
    [[-5, -5, 1], 2707/163840],
    [[-11, -5, 1], -7/40960],
    [[-4, 4, -4], -2013/81920],
    [[-6, -8, -4], 113/40960],
    [[-8, -8, 0], -7/5120],
    [[0, 6, -2], -231/8192],
    [[3, -3, 3], -401/81920],
    [[1, -3, 1], 583/81920],
    [[5, -1, -1], 799/163840],
    [[1, 3, 7], -33/163840],
    [[-10, 6, -4], -7/20480],
    [[-8, -2, 4], 107/81920],
    [[-6, -10, -2], 71/40960],
    [[3, 5, 3], 3/16384],
    [[1, -1, -3], 1581/32768],
    [[-9, -7, -3], 79/163840],
    [[0, 8, 2], 113/40960],
    [[6, -2, -2], 63/8192],
    [[-6, 4, -8], 111/40960],
    [[2, -10, 2], 7/32768],
    [[-1, 3, -13], -1/32768],
    [[-5, -7, 1], 1/4096],
    [[-7, -5, -7], 3/16384],
    [[3, 3, 5], 79/163840],
    [[-3, 5, 3], -401/163840],
    [[5, 1, 3], 63/163840],
    [[3, 1, -3], -445/16384],
    [[-4, -8, 2], 113/40960],
    [[-7, 5, -3], -401/163840],
    [[-2, 12, -2], -3/10240],
    [[-6, -6, -10], 17/81920],
    [[-4, 2, 4], 923/81920],
    [[7, 1, -1], -7/81920],
    [[0, -2, -12], -1/16384],
    [[-4, 4, 8], -51/163840],
    [[-1, 5, 3], -401/163840],
    [[-4, -6, -6], -853/81920],
    [[-13, 3, -3], -1/32768],
    [[-3, 11, -5], -23/163840],
    [[-10, 4, 2], -7/20480],
    [[2, 0, -8], 39/8192],
    [[-5, -5, 5], 199/163840],
    [[-10, 4, -6], -7/20480],
    [[-7, 3, 3], -401/81920],
    [[0, -8, -4], -981/163840],
    [[1, 9, -7], -13/81920],
    [[-1, 3, -3], -5729/81920],
    [[7, -3, -5], -33/163840],
    [[-4, -12, 0], -1/2560],
    [[-9, -5, -5], 199/163840],
    [[-7, -1, -7], -73/16384],
    [[-6, 2, -6], 1579/81920],
    [[2, 4, -4], 1143/40960],
    [[-7, -7, -9], 3/163840],
    [[-4, 2, -12], -1/16384],
    [[6, 4, -2], -9/20480],
    [[-5, 5, -3], 67/5120],
    [[-1, -13, -3], 3/81920],
    [[1, -7, 5], -5/32768],
    [[-2, 0, -8], 11/640],
    [[1, 11, -1], -23/163840],
    [[0, -6, 2], -853/81920],
    [[-5, -3, -1], -1143/163840],
    [[-1, 7, 1], -65/16384],
    [[-2, -2, 8], 1/4096],
    [[3, -9, -3], 39/81920],
    [[-10, -2, -4], -13/20480],
    [[-5, 11, -5], -29/163840],
    [[8, 0, -2], -1/8192],
    [[1, -9, -5], 103/81920],
    [[1, -9, 3], -13/81920],
    [[-8, -8, -8], -3/163840],
    [[-5, -5, -3], 67/5120],
    [[4, 2, 2], -25/4096],
    [[-4, -4, -4], -2013/81920],
    [[-8, 6, -8], 3/81920],
    [[6, -4, -4], 107/81920],
    [[-2, -2, -2], 39471/40960],
    [[-1, 7, -9], 79/163840],
    [[-8, 2, -6], -25/4096],
    [[-3, 3, 5], 173/40960],
    [[-5, -5, 7], -7/40960],
    [[-7, -5, -9], -5/32768],
    [[2, -4, 6], -7/20480],
    [[2, 6, -4], -853/81920],
    [[-1, -5, 3], -401/163840],
    [[-3, -7, 5], 79/163840],
    [[-6, 4, -4], 1143/40960],
    [[-1, 1, 7], -7/81920],
    [[-2, 4, -10], -9/20480],
    [[4, -2, 2], -25/4096],
    [[-3, -9, -1], 381/163840],
    [[-4, 4, 6], 107/81920],
    [[-10, -4, -6], -7/20480],
    [[-1, 1, -1], -619/40960],
    [[-5, -11, 1], -29/163840],
    [[-9, 7, 1], -5/32768],
    [[1, 9, 1], 103/81920],
    [[-5, 9, 1], 103/81920],
    [[2, -2, -6], 1579/81920],
    [[-8, 2, 0], 923/81920],
    [[-2, -4, -8], 859/81920],
    [[4, 0, 4], -39/16384],
    [[-2, 0, -6], -1883/20480],
    [[2, -4, 4], 111/40960],
    [[2, -4, -2], -13/320],
    [[-1, 5, -11], -33/163840],
    [[-8, -4, 0], -253/32768],
    [[0, 2, -2], -1681/10240],
    [[-3, -9, 1], 287/163840],
    [[-1, -1, 7], -7/81920],
    [[-10, 2, -4], -13/20480],
    [[-9, -1, -5], 191/81920],
    [[-7, -7, -7], -21/163840],
    [[-6, 0, 6], -11/20480],
    [[-12, 0, -2], -1/8192],
    [[0, -2, -2], -1681/10240],
    [[-3, -3, -11], 7/163840],
    [[-5, 7, -5], 1/4096],
    [[9, 3, -3], -1/32768],
    [[2, 10, -6], 7/32768],
    [[-8, 4, 4], -111/81920],
    [[-1, -3, -5], -1143/163840],
    [[2, 6, 4], -1/2048],
    [[5, -1, -7], 63/163840],
    [[-13, -3, -1], -1/32768],
    [[-4, 10, 2], -29/81920],
    [[-5, -7, -5], 1/4096],
    [[-1, -1, -11], -7/81920],
    [[-3, 9, -7], 39/81920],
    [[-7, -3, 1], -417/163840],
    [[-6, -8, 4], 3/81920],
    [[-2, 0, -4], 8749/40960],
    [[-2, 10, 2], 71/40960],
    [[7, 5, -1], -33/163840],
    [[-4, -2, 6], -13/20480],
    [[6, 2, -2], 63/8192],
    [[-1, 9, 3], 39/81920],
    [[-1, 11, -5], -23/163840],
    [[-8, -6, 2], -1/2048],
    [[0, -4, 4], -253/32768],
    [[-6, 4, -2], -13/320],
    [[5, -3, 3], 79/163840],
    [[-7, 7, 3], -21/163840],
    [[7, -1, -1], -7/81920],
    [[0, 10, 2], -29/81920],
    [[-5, 1, 5], 191/81920],
    [[4, 0, -8], -39/16384],
    [[1, -5, 7], -7/40960],
    [[-3, -5, -9], 27/16384],
    [[-4, 8, -8], -7/5120],
    [[0, -10, -4], 61/40960],
    [[-2, 2, -4], -1681/10240],
    [[-5, -3, 3], -417/163840],
    [[2, 8, -4], 113/40960],
    [[-2, 8, -6], -243/40960],
    [[-2, -8, -8], 107/81920],
    [[6, -6, 0], -7/20480],
    [[1, -5, -7], 33/163840],
    [[3, -1, 3], -73/16384],
    [[0, 10, -6], -29/81920],
    [[-3, -3, -3], -5729/81920],
    [[-4, 8, 2], 113/40960],
    [[-3, 3, -13], -1/32768],
    [[-11, -3, -1], 7/163840],
    [[-3, -3, 5], 173/40960],
    [[-5, 1, -3], 1581/32768],
    [[3, -3, -3], -1877/81920],
    [[2, 8, 0], 113/40960],
    [[-2, 2, 2], 305/16384],
    [[3, 7, 5], 3/163840],
    [[4, -8, -2], 107/81920],
    [[0, -4, -10], 107/81920],
    [[-9, 5, -5], 199/163840],
    [[-8, 6, 4], 3/81920],
    [[5, 1, -1], 799/163840],
    [[-1, 11, 1], -23/163840],
    [[-11, 3, -3], 7/163840],
    [[-1, 9, -7], 39/81920],
    [[-1, -5, -7], -401/163840],
    [[-8, 8, -4], -7/5120],
    [[0, 6, -6], -853/81920],
    [[-4, 2, 8], -1/16384],
    [[-3, 13, -3], 3/81920],
    [[-10, -6, -4], -7/20480],
    [[1, 3, 3], -417/163840],
    [[7, 3, -3], 7/163840],
    [[-4, 8, 0], -981/163840],
    [[6, 2, 0], -13/20480],
    [[-6, -10, -6], 7/32768],
    [[2, -10, -4], -29/81920],
    [[1, -1, -7], -1419/163840],
    [[-4, 10, -2], -41/40960],
    [[-2, 0, 2], -1883/20480],
    [[6, 4, 0], 107/81920],
    [[-5, -1, -3], 1581/32768],
    [[2, 6, -2], 147/20480],
    [[-1, -3, 9], -1/32768],
    [[-3, 9, 1], 287/163840],
    [[-2, -10, 0], -41/40960],
    [[7, -5, -3], -33/163840],
    [[0, -12, 0], -1/2560],
    [[-3, 1, -11], -7/81920],
    [[-4, -4, -8], -253/32768],
    [[8, -2, -4], -1/16384],
    [[3, 1, -7], -73/16384],
    [[-7, 5, -7], 3/16384],
    [[-9, -1, 1], 191/81920],
    [[-4, -8, -6], 113/40960],
    [[-1, -1, -5], 1581/32768],
    [[0, -2, 0], 10813/81920],
    [[-9, 1, -7], 63/163840],
    [[-8, 4, 2], 111/40960],
    [[-6, -4, 4], 111/40960],
    [[2, -4, -10], -7/20480],
    [[-11, 1, -5], -49/163840],
    [[3, 5, -1], -401/163840],
    [[-1, 3, 3], -1877/81920],
    [[3, 9, -3], 39/81920],
    [[-2, 2, 8], 1/4096],
    [[2, 0, 2], -1267/40960],
    [[0, -8, -8], -7/5120],
    [[1, -11, 1], -29/163840],
    [[-9, 3, -1], 173/40960],
    [[3, -7, 3], -21/163840],
    [[4, -4, -4], -253/32768],
    [[-8, 2, -2], -141/5120],
    [[-7, -3, -3], -1877/81920],
    [[3, -7, -1], -803/163840],
    [[-6, 2, -2], 305/16384],
    [[-1, 1, -11], -7/81920],
    [[0, 2, 8], -1/16384],
    [[-1, -5, -5], 67/5120],
    [[2, 0, -2], -1883/20480],
    [[-10, 2, -2], 63/8192],
    [[-12, 4, -2], -1/16384],
    [[1, 5, -11], -7/40960],
    [[-5, -5, -9], 199/163840],
    [[-2, -4, 0], 2811/40960],
    [[-6, 8, -8], 3/81920],
    [[-3, 9, -3], 381/163840],
    [[0, 0, 2], 977/10240],
    [[-10, -2, -6], 69/40960],
    [[-8, -2, -4], 923/81920],
    [[-1, 13, -3], 3/81920],
    [[-5, 5, 5], 199/163840],
    [[-4, 2, -4], 10813/81920],
    [[-4, -4, 6], 107/81920],
    [[3, -9, -7], 3/163840],
    [[-5, 5, 1], 2707/163840],
    [[-4, 6, -2], -231/8192],
    [[-5, -9, 3], -13/81920],
    [[-1, -3, -1], -5729/81920],
    [[-7, -9, -1], 39/81920],
    [[-3, -11, -3], -71/163840],
    [[-4, 0, 0], 2531/81920],
    [[4, 4, -8], -111/81920],
    [[-6, 0, -8], 39/8192],
    [[-2, -2, -14], -1/16384],
    [[-8, -2, 2], -25/4096],
    [[0, 0, -4], 2531/81920],
    [[2, -4, -8], 111/40960],
    [[-5, 7, -9], -5/32768],
    [[1, -7, -7], 29/163840],
    [[-12, 4, 0], -51/163840],
    [[-5, -3, -11], -33/163840],
    [[0, 6, 0], 407/16384],
    [[-3, -3, -1], -5729/81920],
    [[-2, 12, 0], 3/40960],
    [[-6, 2, 0], -2289/40960],
    [[-4, 4, 2], 1143/40960],
    [[3, -7, -5], 29/163840],
    [[-1, -5, -3], 375/32768],
    [[1, 5, 5], 199/163840],
    [[-2, 2, -10], 63/8192],
    [[6, 6, 2], 17/81920],
    [[1, -5, -1], 67/5120],
    [[-2, 8, -8], 107/81920],
    [[-5, -5, -1], 67/5120],
    [[-3, -5, 3], -401/163840],
    [[-11, -3, -5], -33/163840],
    [[-2, 0, 8], -1/8192],
    [[-3, 1, -3], -619/40960],
    [[2, 6, 6], 17/81920],
    [[-8, 4, -4], -253/32768],
    [[5, -7, 1], -5/32768],
    [[4, -6, -2], -121/20480],
    [[4, -2, -8], 107/81920],
    [[1, 7, 3], 29/163840],
    [[-7, -7, -3], -803/163840],
    [[5, -7, -3], 79/163840],
    [[3, 1, 5], 63/163840],
    [[-3, -3, -7], -1877/81920],
    [[-7, 5, -1], -401/163840],
    [[-9, -3, -7], 79/163840],
    [[-13, -1, -1], -1/32768],
    [[0, -12, -2], 3/40960],
    [[1, 3, 1], 583/81920],
    [[-2, -10, -2], 15/4096],
    [[-1, -3, -9], 173/40960],
    [[2, 6, 0], -853/81920],
    [[5, -1, -3], 799/163840],
    [[-4, -8, -2], 623/81920],
    [[-6, -8, -2], -243/40960],
    [[-4, -10, -4], 61/40960],
    [[-3, 5, -11], -33/163840],
    [[1, -1, 7], -49/163840],
    [[-3, -7, 3], -803/163840],
    [[-5, -7, -9], -5/32768],
    [[-9, -7, -1], 79/163840],
    [[-9, 1, -1], 799/163840],
    [[-5, -7, -3], -65/16384],
    [[2, 6, -8], -1/2048],
    [[-6, -6, -8], -1/2048],
    [[-3, 9, -1], 381/163840],
    [[-10, -6, 2], 17/81920],
    [[-4, 2, -10], -13/20480],
    [[0, -6, -8], 111/40960],
    [[-8, 8, 2], 3/81920],
    [[-3, 1, -1], -619/40960],
    [[1, 1, -7], -1419/163840],
    [[-11, 3, 1], -33/163840],
    [[-1, -11, 1], -23/163840],
    [[3, 1, -1], -445/16384],
    [[-8, 6, -6], -1/2048],
    [[-9, 5, 3], -5/32768],
    [[0, -4, 8], -51/163840],
    [[1, 1, 5], 191/81920],
    [[-11, -3, 1], -33/163840],
    [[1, 1, 1], 1111/16384],
    [[4, -4, 2], 111/40960],
    [[-9, 7, -1], 79/163840],
    [[-3, 7, -5], -65/16384],
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    [[-2, -6, -2], 87/5120],
    [[-2, 8, 2], -243/40960],
    [[-3, -5, -7], -401/163840],
    [[-1, 3, -9], 173/40960],
    [[-10, -2, 0], -13/20480],
    [[2, 10, 0], -29/81920],
    [[-13, -3, -3], -1/32768],
    [[-5, 3, 7], -33/163840],
    [[-1, -3, 7], 7/163840],
    [[-2, -2, -12], 1/4096],
    [[-1, 7, -7], -803/163840],
    [[-9, -7, -7], 3/163840],
    [[4, 6, 2], -1/2048],
    [[1, 3, -1], -1143/163840],
    [[-5, -1, -11], -49/163840],
    [[2, 6, -10], 17/81920],
    [[-3, -1, 5], 799/163840],
    [[-4, 0, 4], -2061/81920],
    [[1, 5, 3], 33/163840],
    [[-7, -5, -3], -401/163840],
    [[6, -6, -4], -7/20480],
    [[4, 0, 0], -2061/81920],
    [[3, 3, 1], -417/163840],
    [[2, -2, -8], -25/4096],
    [[-5, 5, 7], -7/40960],
    [[9, 3, -1], -1/32768],
    [[-1, -9, -1], 381/163840],
    [[-11, 5, -1], -33/163840],
    [[5, -3, -5], 127/81920],
    [[2, 8, -6], -41/81920],
    [[1, 7, -5], 1/4096],
    [[-2, -8, 4], 107/81920],
    [[-7, -1, 1], -1419/163840],
    [[-9, 7, -3], 79/163840],
    [[-4, -12, -4], -1/2560],
    [[-4, -2, -4], 10813/81920],
    [[-6, 8, -4], 113/40960],
    [[-7, -5, 1], 33/163840],
    [[0, -8, 0], -981/163840],
    [[-7, 3, -7], -401/81920],
    [[3, -1, -1], -445/16384],
    [[-3, -1, -1], -619/40960],
    [[-10, 4, -2], -9/20480],
    [[-6, 8, 0], 113/40960],
    [[-4, 4, -12], -51/163840],
    [[-9, 7, 3], 3/163840],
    [[-7, -1, -3], -445/16384],
    [[0, -4, 0], -2013/81920],
    [[9, -3, -3], -1/32768],
    [[-4, 8, 4], -7/5120],
    [[-6, 2, -10], 69/40960],
    [[2, -8, 4], 3/81920],
    [[1, 7, 5], -5/32768],
    [[-2, -4, -6], -13/320],
    [[-5, 3, 5], 127/81920],
    [[-10, 6, -6], 17/81920],
    [[-1, 9, -1], 381/163840],
    [[-5, -3, 1], 583/81920],
    [[-3, 1, 3], -445/16384],
    [[-7, -7, 5], 3/163840],
    [[-13, 1, -1], -1/32768],
    [[-7, -5, 3], 3/16384],
    [[1, -7, 1], 1/4096],
    [[3, 5, -7], 3/16384],
    [[2, -10, -6], 7/32768],
    [[0, 8, -6], 113/40960],
    [[-7, -3, -1], -1877/81920],
    [[3, -5, -1], -401/163840],
    [[-1, -7, -5], -65/16384],
    [[-12, -2, -4], -1/16384],
    [[-12, -4, -2], -1/16384],
    [[5, 1, 1], 191/81920],
    [[2, 2, 2], 1579/81920],
    [[-10, 6, 0], -7/20480],
    [[-2, 0, 0], 8749/40960],
    [[-2, -2, 0], -1681/10240],
    [[0, 6, 2], -853/81920],
    [[-8, -8, -4], -7/5120],
    [[-10, 0, -2], -3/5120],
    [[3, 9, -7], 3/163840],
    [[4, -2, -6], -25/4096],
    [[-4, 0, -8], -2061/81920],
    [[-3, 7, -9], 79/163840],
    [[2, 2, -6], 1579/81920],
    [[1, -3, -5], 583/81920],
    [[4, 6, -2], -121/20480],
    [[0, 0, -12], -39/81920],
    [[-9, -7, -5], -5/32768],
    [[5, 5, 3], -5/32768],
    [[3, 5, -3], -401/163840],
    [[-12, -2, 0], -1/16384],
    [[-3, 11, -1], -71/163840],
    [[-7, 9, -3], 39/81920],
    [[-3, -1, 9], -1/32768],
    [[-6, 6, -8], -1/2048],
    [[-8, -4, -6], 111/40960],
    [[-2, -8, -4], 623/81920],
    [[-9, 3, -7], 79/163840],
    [[-1, 5, -5], 67/5120],
    [[-1, 1, 3], -445/16384],
    [[5, -5, 1], 199/163840],
    [[-3, -9, 3], 39/81920],
    [[-10, -4, -2], -9/20480],
    [[-2, 0, -10], -3/5120],
    [[3, -5, -3], -401/163840],
    [[8, 2, -4], -1/16384],
    [[0, -4, -4], -2013/81920],
    [[3, 5, -5], 33/163840],
    [[2, -2, -2], 305/16384],
    [[0, -4, -8], -253/32768],
    [[4, -8, -8], -3/163840],
    [[2, 0, -4], 977/10240],
    [[-4, -2, -2], -1681/10240],
    [[-3, -5, -1], 375/32768],
    [[-8, 6, 2], -1/2048],
    [[6, 2, 2], 69/40960],
    [[-7, 3, -1], -1877/81920],
    [[-2, -4, -4], 2811/40960],
    [[1, -7, -3], -65/16384],
    [[0, -2, 6], -13/20480],
    [[-7, -3, -9], 79/163840],
    [[8, -4, -2], -1/16384],
    [[-1, -1, 3], -445/16384],
    [[-3, 5, 7], -33/163840],
    [[4, -8, -4], -7/5120],
    [[-5, 11, -1], -23/163840],
    [[1, -9, -1], 287/163840],
    [[-3, -3, -9], 173/40960],
    [[-8, -4, 2], 111/40960],
    [[-9, -3, -5], 127/81920],
    [[-5, -9, -1], 287/163840],
    [[-1, 3, 1], -1143/163840],
    [[-7, -9, -3], 39/81920],
    [[-3, -7, 1], -65/16384],
    [[-8, -8, -6], 3/81920],
    [[5, 3, -7], 79/163840],
    [[-1, -13, -1], 3/81920],
    [[8, 4, -2], -1/16384],
    [[-7, -3, 5], 79/163840],
    [[0, -2, -6], -2289/40960],
    [[-4, 2, 6], -13/20480],
    [[6, 2, -6], 69/40960],
    [[-4, 2, -2], -1681/10240],
    [[4, 0, -4], -2061/81920],
    [[-5, 3, -7], -417/163840],
    [[-11, 5, -5], -7/40960],
    [[5, 5, 1], 199/163840],
    [[0, 4, -8], -253/32768],
    [[-7, -1, 5], 63/163840],
    [[5, 5, -7], -5/32768],
    [[-1, 3, 7], 7/163840],
    [[-11, -1, -5], -49/163840],
    [[-2, -6, 2], 147/20480],
    [[4, -2, 4], 107/81920],
    [[1, -3, -11], -33/163840],
    [[-10, -4, 2], -7/20480],
    [[-3, -9, -7], 39/81920],
    [[1, 9, -3], 287/163840],
    [[-5, -1, 5], 191/81920],
    [[-12, 2, -4], -1/16384],
    [[-2, 6, 0], -231/8192],
    [[-6, 4, 0], 1143/40960],
    [[-4, -6, 0], 407/16384],
    [[-9, 3, 3], 79/163840],
    [[-3, 3, 1], -1143/163840],
    [[7, -3, -1], 7/163840],
    [[4, 4, -2], 859/81920],
    [[2, -4, 2], -213/20480],
    [[-6, 6, 4], -1/2048],
    [[1, -5, -3], 67/5120],
    [[-3, -1, -7], -445/16384],
    [[-3, -13, -1], 3/81920],
    [[-3, -5, 7], -33/163840],
    [[-1, 5, -1], 375/32768],
    [[0, -6, 0], 407/16384],
];

// Primal filter m_3
m_3 = [
    [[-7, -3, -5], -401/163840],
    [[7, 1, 3], -33/163840],
    [[0, 0, 8], -981/163840],
    [[1, 1, -3], 583/81920],
    [[-3, -3, 7], -1937/163840],
    [[2, -8, -2], -25/4096],
    [[-6, 0, 8], 113/40960],
    [[4, 2, -6], -1/2048],
    [[6, -2, 4], -9/20480],
    [[-3, 7, 3], 7/163840],
    [[-5, -5, 1], 1111/16384],
    [[-11, -5, 1], -49/163840],
    [[-4, 4, -4], -253/32768],
    [[-8, -8, 0], -39/16384],
    [[0, 6, -2], -13/20480],
    [[3, -3, 3], -1877/81920],
    [[1, -3, 1], 1581/32768],
    [[5, -1, -1], 799/163840],
    [[1, 3, 7], 29/163840],
    [[-10, -2, 4], -9/20480],
    [[-8, -2, 4], 859/81920],
    [[-2, 0, -10], -41/40960],
    [[-6, -10, -2], 69/40960],
    [[-3, -5, 3], -1143/163840],
    [[1, -1, -3], -1143/163840],
    [[3, -5, 9], -13/81920],
    [[-9, 1, 5], 199/163840],
    [[0, 8, 2], -1/16384],
    [[-6, -6, 6], 1047/163840],
    [[-6, 4, -8], 3/81920],
    [[2, -10, 2], 69/40960],
    [[-1, -3, 13], 3/81920],
    [[-7, -5, -7], 29/163840],
    [[-3, 1, -7], -65/16384],
    [[-3, 5, 3], 173/40960],
    [[5, 1, 3], 127/81920],
    [[3, 1, -3], -417/163840],
    [[-4, 0, -6], 407/16384],
    [[-10, -4, -4], 107/81920],
    [[-7, 5, -3], 79/163840],
    [[3, -3, -5], -401/163840],
    [[-6, -6, -10], 7/32768],
    [[7, 1, -1], -49/163840],
    [[0, -2, -12], 3/40960],
    [[4, -4, 8], -7/5120],
    [[-1, 5, 3], 173/40960],
    [[-11, -3, 3], 7/163840],
    [[4, -2, 6], -121/20480],
    [[-4, 0, 10], 61/40960],
    [[-3, -13, 3], -1/32768],
    [[2, 0, -8], 113/40960],
    [[5, -7, -7], 3/163840],
    [[-2, 4, 6], -121/20480],
    [[7, -3, 3], 7/163840],
    [[0, -8, -4], -253/32768],
    [[1, -11, 5], -7/40960],
    [[-1, -3, 3], -5729/81920],
    [[7, -3, -5], -33/163840],
    [[3, -7, 7], -21/163840],
    [[-4, -12, 0], -39/81920],
    [[-9, -5, -5], 199/163840],
    [[-7, -1, -7], -803/163840],
    [[-6, 2, -6], 1047/163840],
    [[-2, 4, 0], 11/640],
    [[-7, -7, -9], 3/163840],
    [[-5, -3, 5], 67/5120],
    [[-1, -13, -3], -1/32768],
    [[1, -7, 5], 33/163840],
    [[-5, -1, 9], 287/163840],
    [[2, -4, -8], 113/40960],
    [[0, 0, 6], 407/16384],
    [[0, -6, 2], -2289/40960],
    [[1, -1, 9], 287/163840],
    [[-5, -3, -1], 1581/32768],
    [[-1, 7, 1], -7/81920],
    [[2, 2, 8], -41/81920],
    [[-4, -4, 10], 61/40960],
    [[4, -2, 8], 107/81920],
    [[3, -9, -3], 79/163840],
    [[-10, -2, -4], -9/20480],
    [[-5, -9, 7], -5/32768],
    [[8, 0, -2], -1/16384],
    [[1, -9, -5], 199/163840],
    [[1, -9, 3], 127/81920],
    [[-8, -8, -8], -3/163840],
    [[5, -7, 1], 63/163840],
    [[3, -9, 5], -5/32768],
    [[4, 2, 2], -25/4096],
    [[-4, -4, -4], -2013/81920],
    [[6, -4, -4], 107/81920],
    [[-2, 6, 6], 13/8192],
    [[-1, -7, 9], 39/81920],
    [[-8, 2, -6], -1/2048],
    [[-3, 3, 5], -401/163840],
    [[-5, -5, 7], 1/4096],
    [[-7, -5, -9], -13/81920],
    [[-2, -4, -6], -231/8192],
    [[-3, -1, 13], 3/81920],
    [[2, 6, -4], -7/20480],
    [[-1, -5, 3], -1143/163840],
    [[-1, -13, 3], -1/32768],
    [[-8, 0, 2], 923/81920],
    [[-6, -8, 0], 39/8192],
    [[-1, 1, 7], -65/16384],
    [[2, 4, 8], 3/81920],
    [[4, -2, 2], -141/5120],
    [[-3, -9, -1], 799/163840],
    [[4, -4, 6], 111/40960],
    [[-10, -4, -6], -7/20480],
    [[-1, 1, -1], 1581/32768],
    [[-5, -11, 1], -49/163840],
    [[1, -11, -3], -33/163840],
    [[0, -2, 10], -41/40960],
    [[-2, 2, -6], 147/20480],
    [[-8, -2, -4], 859/81920],
    [[2, -4, 4], 1143/40960],
    [[4, 0, 4], -253/32768],
    [[-2, 0, -6], -231/8192],
    [[-2, 0, 4], 2811/40960],
    [[2, -4, -2], -2289/40960],
    [[-1, -5, 11], -23/163840],
    [[-8, -4, 0], -2061/81920],
    [[0, 2, -2], -2289/40960],
    [[-1, -1, 7], -1937/163840],
    [[-10, 2, -4], -7/20480],
    [[-9, -1, -5], 27/16384],
    [[7, -5, 5], -7/40960],
    [[6, 0, -6], -7/20480],
    [[3, 1, 9], -13/81920],
    [[-12, 0, -2], -1/16384],
    [[-9, -7, -3], 79/163840],
    [[0, -2, -2], -1681/10240],
    [[-3, -3, -11], -71/163840],
    [[-5, 7, -5], -7/40960],
    [[-9, -3, -3], 173/40960],
    [[-2, -10, -6], 13/8192],
    [[-8, -4, -4], -253/32768],
    [[-1, -3, -5], 375/32768],
    [[2, 6, 4], -7/20480],
    [[5, -1, -7], 79/163840],
    [[-13, -3, -1], -1/32768],
    [[4, 4, 6], 3/81920],
    [[-5, -7, -5], 33/163840],
    [[-1, -1, -11], -71/163840],
    [[3, -9, -7], 3/163840],
    [[-7, -3, 1], -445/16384],
    [[-6, -8, 4], 111/40960],
    [[-2, 0, -4], 2811/40960],
    [[-2, 0, 8], 623/81920],
    [[-2, 10, 2], -1/16384],
    [[-10, -6, 6], 17/81920],
    [[-4, -2, 6], -231/8192],
    [[6, 2, -2], 69/40960],
    [[-1, 9, 3], -1/32768],
    [[-1, -11, 5], -33/163840],
    [[-8, -6, 2], -25/4096],
    [[0, -4, 4], -2013/81920],
    [[5, -3, 3], 173/40960],
    [[7, 1, -5], -7/40960],
    [[7, -1, -1], -7/81920],
    [[-12, -2, 4], -1/16384],
    [[-5, 1, 5], 2707/163840],
    [[4, -8, 0], -39/16384],
    [[1, -5, 7], 1/4096],
    [[-3, -5, -9], 287/163840],
    [[0, -10, -4], 107/81920],
    [[-2, 2, -4], -13/320],
    [[1, -5, 9], 103/81920],
    [[-5, -3, 3], -1143/163840],
    [[-2, 8, 0], -1/8192],
    [[-2, -8, -8], 107/81920],
    [[-6, 6, 0], -11/20480],
    [[1, -5, -7], 1/4096],
    [[3, -1, 3], -1877/81920],
    [[0, -10, 6], -7/20480],
    [[-3, -3, -3], -5729/81920],
    [[-4, 8, 2], -1/16384],
    [[-3, -5, 11], -23/163840],
    [[-11, -3, -1], -7/81920],
    [[3, 3, 5], 3/16384],
    [[-5, 1, -3], 583/81920],
    [[3, -3, -3], -1877/81920],
    [[-2, 8, -4], -1/16384],
    [[-2, 2, 2], 305/16384],
    [[-3, 5, -7], 79/163840],
    [[-4, -8, 6], 111/40960],
    [[0, -4, -10], 61/40960],
    [[-8, -6, -8], 3/81920],
    [[5, 1, -1], 191/81920],
    [[-11, -5, 5], -7/40960],
    [[-1, -9, 7], 79/163840],
    [[0, -6, 6], -853/81920],
    [[4, -6, 8], 3/81920],
    [[-10, -6, -4], -7/20480],
    [[1, 3, 3], -417/163840],
    [[-7, -3, -3], -1877/81920],
    [[6, 2, 0], -11/20480],
    [[-6, -10, -6], 17/81920],
    [[-5, -7, 7], 29/163840],
    [[1, -1, -7], -65/16384],
    [[-4, -10, 2], -13/20480],
    [[-2, 0, 2], -1681/10240],
    [[-6, 4, -4], 111/40960],
    [[-5, -1, -3], -1143/163840],
    [[2, 6, -2], 69/40960],
    [[-1, 3, -9], 39/81920],
    [[-3, 9, 1], -1/32768],
    [[-2, -10, 0], -3/5120],
    [[7, -5, -3], -33/163840],
    [[0, -12, 0], -39/81920],
    [[-9, -3, 5], 27/16384],
    [[-3, 1, -11], -23/163840],
    [[-4, -4, -8], -981/163840],
    [[3, 1, -7], 29/163840],
    [[4, 2, 6], -1/2048],
    [[-7, 5, -7], 3/163840],
    [[-9, -1, 1], 799/163840],
    [[-10, 2, 6], 17/81920],
    [[-4, -8, -6], 111/40960],
    [[-1, -1, -5], 375/32768],
    [[0, 2, -4], 1143/40960],
    [[-9, 1, -7], -5/32768],
    [[-8, 4, 2], 107/81920],
    [[6, 0, 4], 107/81920],
    [[-2, -4, 10], -41/40960],
    [[-11, 1, -5], -7/40960],
    [[3, 5, -1], 63/163840],
    [[-1, 3, 3], -1877/81920],
    [[2, -6, 10], 7/32768],
    [[-10, -4, 6], -7/20480],
    [[-2, 2, 8], -243/40960],
    [[2, 0, 2], -2289/40960],
    [[0, -8, -8], -7/5120],
    [[1, -11, 1], -49/163840],
    [[-9, 3, -1], 63/163840],
    [[3, -7, 3], -401/81920],
    [[4, -4, -4], -253/32768],
    [[-8, 2, -2], -25/4096],
    [[3, -7, -1], -73/16384],
    [[-6, 2, -2], 1579/81920],
    [[-1, 1, -11], -23/163840],
    [[0, 2, 8], 113/40960],
    [[-4, 4, 8], -7/5120],
    [[-5, -3, 9], 287/163840],
    [[2, 0, -2], -2289/40960],
    [[-10, 2, -2], 69/40960],
    [[1, -7, 9], -13/81920],
    [[-5, -5, -9], 103/81920],
    [[2, 0, 0], 977/10240],
    [[-1, -5, -3], -1143/163840],
    [[-3, 9, -3], -1/32768],
    [[0, 0, 2], 10813/81920],
    [[-8, 2, 0], 39/8192],
    [[-2, -2, 12], -3/10240],
    [[-6, -4, -6], -853/81920],
    [[5, 3, -3], 79/163840],
    [[-4, 2, -4], 1143/40960],
    [[-4, -4, 6], 407/16384],
    [[-3, -11, 5], -33/163840],
    [[-5, 5, 1], 191/81920],
    [[-4, 6, -2], -13/20480],
    [[-5, -9, 3], 127/81920],
    [[1, -9, 7], -5/32768],
    [[8, 0, 4], -51/163840],
    [[-1, -3, -1], -619/40960],
    [[-7, -9, -1], 63/163840],
    [[-3, -11, -3], 7/163840],
    [[-4, 0, 0], 2531/81920],
    [[4, 4, -8], -3/163840],
    [[-6, 0, -8], 113/40960],
    [[-2, -2, -14], 3/40960],
    [[-8, -2, 2], -141/5120],
    [[0, 0, -4], -2013/81920],
    [[-2, -4, 4], 2811/40960],
    [[-5, -5, 11], -29/163840],
    [[1, -7, -7], 29/163840],
    [[-5, -3, -11], -23/163840],
    [[0, 6, 0], 83/40960],
    [[-3, -3, -1], -619/40960],
    [[-1, 1, 11], -23/163840],
    [[6, -2, 0], -3/5120],
    [[-4, 4, 2], 923/81920],
    [[3, -7, -5], 3/16384],
    [[-4, 2, 10], -29/81920],
    [[-5, -11, 5], -7/40960],
    [[0, -8, 6], 111/40960],
    [[1, 5, 5], 199/163840],
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    [[-7, -9, -7], 3/163840],
    [[4, 0, 6], 111/40960],
    [[-7, 1, 1], -1419/163840],
    [[-3, -7, 5], -401/163840],
    [[-10, 2, 0], -11/20480],
    [[-3, -7, 1], -445/16384],
    [[-1, -1, -3], -5729/81920],
    [[8, -4, 2], -1/16384],
    [[-7, -3, 9], 39/81920],
    [[0, 2, 2], -2289/40960],
    [[1, 3, -9], -13/81920],
    [[-8, 4, 4], -111/81920],
    [[-6, -6, -6], 1047/163840],
    [[-1, -13, -1], -1/32768],
    [[-1, -5, -9], 287/163840],
    [[-2, -4, 0], 8749/40960],
    [[-6, -2, -2], 305/16384],
    [[4, 0, -8], -7/5120],
    [[4, -8, -6], 3/81920],
    [[2, -2, 2], 305/16384],
    [[2, 2, -10], 7/32768],
    [[-8, -2, -8], 107/81920],
    [[2, 4, -2], -25/4096],
    [[8, -2, -4], -1/16384],
    [[9, -3, -1], -1/32768],
    [[-10, 0, -6], -7/20480],
    [[-3, -9, -3], 173/40960],
    [[4, -4, 4], -253/32768],
    [[-3, 7, -1], -7/81920],
    [[-2, -2, 0], -23131/10240],
    [[-4, -2, -6], -231/8192],
    [[-8, 0, -6], 111/40960],
    [[-9, 3, 7], 3/163840],
    [[2, 4, -6], -1/2048],
    [[6, 0, -2], -13/20480],
    [[5, 1, 5], 199/163840],
    [[3, -9, 1], 63/163840],
    [[-7, 1, -7], 29/163840],
    [[0, 2, 6], -853/81920],
    [[-3, -1, -11], -71/163840],
    [[3, 5, 3], 79/163840],
    [[-5, -5, -3], 583/81920],
    [[-5, 1, -11], -29/163840],
    [[-4, -4, 2], 10813/81920],
    [[1, -3, 5], 67/5120],
    [[-8, 2, 6], -1/2048],
    [[2, 2, 6], 1047/163840],
    [[-4, -6, -4], 1143/40960],
    [[-4, -4, 0], 2531/81920],
    [[-4, -6, -2], -2289/40960],
    [[5, -1, 3], 173/40960],
    [[-2, -6, -2], 305/16384],
    [[6, 2, -6], 17/81920],
    [[-3, -5, -7], -65/16384],
    [[-1, -3, 9], 381/163840],
    [[-10, -2, 0], -3/5120],
    [[-13, -3, -3], -1/32768],
    [[-12, -4, 2], -1/16384],
    [[5, 1, -5], 199/163840],
    [[-1, 3, -7], -803/163840],
    [[-2, -2, -12], -3/10240],
    [[-1, -7, 7], -803/163840],
    [[-9, -7, -7], 3/163840],
    [[-4, 2, -2], -2289/40960],
    [[1, 3, -1], -1419/163840],
    [[-6, -8, 8], 3/81920],
    [[-5, -1, -11], -23/163840],
    [[-2, -6, -10], 71/40960],
    [[-3, -1, 5], 375/32768],
    [[4, 0, -4], -253/32768],
    [[1, 5, 3], 127/81920],
    [[-7, -5, -3], -417/163840],
    [[-6, 6, -4], -7/20480],
    [[-4, -8, 0], -2061/81920],
    [[3, 3, 1], -73/16384],
    [[2, -2, -8], -243/40960],
    [[5, 3, 7], 3/163840],
    [[5, -5, 7], -5/32768],
    [[-8, -8, 6], 3/81920],
    [[-1, -9, -1], 799/163840],
    [[-5, 3, -5], 33/163840],
    [[1, 7, -5], -7/40960],
    [[-2, -8, 4], 859/81920],
    [[-6, 2, 10], 7/32768],
    [[-4, -6, -6], -853/81920],
    [[-7, -1, 1], -445/16384],
    [[-9, -5, 1], 191/81920],
    [[-4, -12, -4], -51/163840],
    [[4, -6, 0], 39/8192],
    [[-1, 5, 7], 79/163840],
    [[0, -8, 0], -2061/81920],
    [[-7, 3, -7], -21/163840],
    [[3, -1, -1], -445/16384],
    [[-3, -1, -1], -619/40960],
    [[-7, 3, 7], -21/163840],
    [[-1, -5, 5], 67/5120],
    [[-4, -12, 4], -51/163840],
    [[-7, -1, -3], -1877/81920],
    [[0, -4, 0], 2531/81920],
    [[9, -3, -3], -1/32768],
    [[-6, -2, 2], 305/16384],
    [[-6, 2, -10], 7/32768],
    [[2, -8, 4], 111/40960],
    [[-3, -3, 9], 381/163840],
    [[1, 7, 5], -7/40960],
    [[2, -4, 6], -853/81920],
    [[5, -3, 5], 27/16384],
    [[-1, 9, -1], -1/32768],
    [[-5, 5, -7], -5/32768],
    [[-3, 1, 3], -1143/163840],
    [[-7, -7, 5], 3/16384],
    [[-7, -5, 3], -417/163840],
    [[1, -7, 1], -1419/163840],
    [[3, 5, -7], 3/163840],
    [[2, -10, -6], 17/81920],
    [[-6, 4, 8], 3/81920],
    [[-11, -1, -5], -33/163840],
    [[-9, -7, 7], 3/163840],
    [[-8, 4, -2], 107/81920],
    [[-3, 5, -1], 799/163840],
    [[-1, 7, 5], -33/163840],
    [[-12, -4, -2], -1/16384],
    [[5, 1, 1], 191/81920],
    [[-13, -3, 3], -1/32768],
    [[2, -6, -6], 1047/163840],
    [[4, -8, -2], 107/81920],
    [[-2, 0, 0], 8749/40960],
    [[-6, 0, 4], 1143/40960],
    [[0, 6, 2], -13/20480],
    [[1, -3, -11], -23/163840],
    [[-8, -8, -4], -111/81920],
    [[-10, 0, -2], -13/20480],
    [[3, -7, 9], 3/163840],
    [[4, -2, -6], -121/20480],
    [[-4, 0, -8], -981/163840],
    [[-3, -9, 7], 79/163840],
    [[2, 2, 10], 7/32768],
    [[-2, -2, -6], 87/5120],
    [[1, 1, 7], 1/4096],
    [[-4, 2, 2], -2289/40960],
    [[0, 0, -12], -1/2560],
    [[-5, 1, 11], -29/163840],
    [[-9, -7, -5], -5/32768],
    [[-5, -5, 3], 583/81920],
    [[3, -3, 5], -401/163840],
    [[-3, -1, 9], 381/163840],
    [[-8, -4, -6], 111/40960],
    [[-11, -1, 3], 7/163840],
    [[-2, -8, -4], 859/81920],
    [[-9, 3, -7], 3/163840],
    [[-8, 0, 6], 111/40960],
    [[-1, 1, 3], -1143/163840],
    [[-7, -7, -5], 3/16384],
    [[5, 3, -7], 3/163840],
    [[-3, -9, 3], 173/40960],
    [[-10, 0, 2], -13/20480],
    [[2, -4, -10], -29/81920],
    [[8, -2, 0], -1/8192],
    [[0, -4, -4], -2013/81920],
    [[0, 2, 10], -29/81920],
    [[3, 5, -5], -5/32768],
    [[2, -2, -2], 305/16384],
    [[0, -4, -8], -981/163840],
    [[4, 0, 0], -2061/81920],
    [[2, 0, -4], 1143/40960],
    [[-4, -2, -2], -1681/10240],
    [[-3, -5, -1], 1581/32768],
    [[6, 2, 2], 69/40960],
    [[-7, 3, -1], -73/16384],
    [[-2, -4, -4], 2811/40960],
    [[1, 3, 9], -13/81920],
    [[1, -7, -3], -417/163840],
    [[0, -2, 6], -231/8192],
    [[-7, -3, -9], 39/81920],
    [[8, -4, -2], -1/16384],
    [[-1, -1, 3], -5729/81920],
    [[-3, -7, -5], -401/163840],
    [[-7, -9, 7], 3/163840],
    [[4, -8, -4], -111/81920],
    [[1, -9, -1], 191/81920],
    [[3, 3, -9], 3/163840],
    [[-8, -4, 2], 923/81920],
    [[-9, -3, -5], 27/16384],
    [[-5, -9, -1], 191/81920],
    [[-1, 3, 1], -445/16384],
    [[-7, -9, -3], 79/163840],
    [[3, -5, -3], -417/163840],
    [[-8, -8, -6], 3/81920],
    [[-5, -3, -7], -65/16384],
    [[2, -2, 8], -243/40960],
    [[2, 0, 8], 113/40960],
    [[6, -6, 4], -7/20480],
    [[-3, -1, -7], -1937/163840],
    [[-7, -3, 5], -401/163840],
    [[0, -2, -6], -231/8192],
    [[-8, 4, 8], -3/163840],
    [[4, -6, 6], -1/2048],
    [[-6, -2, -6], 147/20480],
    [[-4, -2, 2], -1681/10240],
    [[-4, -8, -4], -253/32768],
    [[-5, 3, -7], 29/163840],
    [[5, -7, -3], 79/163840],
    [[-2, 2, -8], -243/40960],
    [[0, 4, -8], -7/5120],
    [[-7, -1, 5], -401/163840],
    [[5, -7, 5], -5/32768],
    [[-1, 3, 7], -803/163840],
    [[3, 5, 7], 3/163840],
    [[6, 2, 6], 17/81920],
    [[-2, -6, 2], 305/16384],
    [[-4, 6, 4], 107/81920],
    [[1, 1, 9], 103/81920],
    [[-10, -4, 2], -13/20480],
    [[-3, -9, -7], 79/163840],
    [[-5, -1, 5], 67/5120],
    [[-12, -2, 0], -1/8192],
    [[2, -6, 0], -1267/40960],
    [[-6, 4, 0], 39/8192],
    [[-4, -6, 0], 977/10240],
    [[-9, 3, 3], 79/163840],
    [[-3, 3, 1], -445/16384],
    [[7, -3, -1], -7/81920],
    [[-4, -4, -2], 10813/81920],
    [[2, -4, 2], -2289/40960],
    [[-6, 6, 4], -7/20480],
    [[1, -5, -3], 583/81920],
    [[2, 0, -6], -853/81920],
    [[-3, -13, -1], -1/32768],
    [[-3, -5, 7], -65/16384],
    [[-1, 5, -1], 799/163840],
    [[0, -6, 0], 977/10240],
];

// Primal filter m_4
m_4 = [
    [[1, -1, -5], -241/163840],
    [[-2, 0, 0], -173/40960],
    [[5, 1, -7], -21/163840],
    [[6, -2, 2], 51/81920],
    [[-3, -1, 3], 21/10240],
    [[1, -5, 5], 141/327680],
    [[6, -6, -2], 209/163840],
    [[-7, 7, -5], -21/163840],
    [[0, 0, 8], 51/81920],
    [[1, -9, -3], 39/32768],
    [[-5, 11, 1], 3/81920],
    [[1, 1, -3], -361/327680],
    [[6, 0, -4], 3/2048],
    [[-8, 2, -8], -9/81920],
    [[4, -2, 4], 57/163840],
    [[-2, 8, -2], 3/10240],
    [[-5, 3, -3], -361/327680],
    [[-4, 2, -4], 783/163840],
    [[1, -5, -11], -41/327680],
    [[0, -10, 2], -57/163840],
    [[-6, 0, 8], -73/81920],
    [[-5, -9, -7], -21/163840],
    [[-7, 1, 9], -29/327680],
    [[-6, 2, 6], -629/163840],
    [[-12, -2, -2], 3/10240],
    [[-5, 1, 1], 783/327680],
    [[-5, 1, 9], -25/65536],
    [[-3, 3, -9], 3/20480],
    [[4, -6, -2], -69/16384],
    [[4, 2, -6], -117/163840],
    [[-3, 9, 3], -9/65536],
    [[-5, -5, 5], -459/327680],
    [[4, 0, -2], 321/81920],
    [[-4, -4, -10], 3/2048],
    [[-6, -6, -4], -27/10240],
    [[-5, 1, -7], -11/81920],
    [[-1, 9, -1], 3/327680],
    [[5, -7, -3], 107/327680],
    [[-6, 6, -2], -19/65536],
    [[-5, -7, -1], -449/327680],
    [[4, -4, -8], -321/327680],
    [[-6, 0, -6], -91/32768],
    [[-3, -1, 11], 3/81920],
    [[-1, 7, -3], 9/65536],
    [[-8, -8, 0], 57/327680],
    [[1, 1, -11], -57/327680],
    [[0, 6, -2], 15/32768],
    [[1, -1, -11], -9/65536],
    [[0, 0, -6], 1033/163840],
    [[-3, -13, -1], 3/81920],
    [[-2, 8, 4], -57/163840],
    [[-3, -1, 9], -93/327680],
    [[-11, -1, 1], 287/163840],
    [[1, -3, 1], -361/327680],
    [[-3, 1, 1], -3461/327680],
    [[4, -2, 2], -147/81920],
    [[-9, 3, -5], -123/327680],
    [[-4, 0, 4], -889/327680],
    [[-8, 0, 4], 221/327680],
    [[0, 4, 2], -27/10240],
    [[1, 3, 7], -21/163840],
    [[-10, 6, -4], 3/32768],
    [[-8, 6, 0], -69/16384],
    [[-8, -2, 4], -167/32768],
    [[1, 5, 7], 3/65536],
    [[-3, -3, 7], 15/65536],
    [[-1, -11, -5], -29/327680],
    [[-6, 4, 2], 257/16384],
    [[-11, 5, 3], -1/10240],
    [[-1, -5, 7], -27/327680],
    [[-1, 9, -3], -9/327680],
    [[5, -5, -1], 259/163840],
    [[-6, -10, -2], 51/81920],
    [[-5, 5, 3], -117/40960],
    [[-2, -6, -4], -2443/163840],
    [[-3, -9, 1], 15/65536],
    [[-10, 0, 4], -69/16384],
    [[-4, -4, -6], 1033/163840],
    [[-3, 3, -5], -191/40960],
    [[1, -1, -3], -59/10240],
    [[-3, -7, 1], -449/327680],
    [[-2, 2, 0], 1061/81920],
    [[-9, 1, 5], -1109/327680],
    [[1, 5, -1], -369/327680],
    [[4, 0, -4], -19/65536],
    [[0, 8, 2], -57/163840],
    [[6, -2, -2], 319/163840],
    [[2, -4, -6], -579/81920],
    [[-6, 4, -8], -9/81920],
    [[-4, -8, 4], 57/327680],
    [[2, -10, 2], 87/327680],
    [[3, -1, 5], 57/163840],
    [[5, -5, -3], 39/32768],
    [[-4, 6, 0], -181/20480],
    [[-7, 1, 5], -117/40960],
    [[-1, 1, 9], -9/65536],
    [[2, 4, 0], -189/163840],
    [[-13, 3, -1], -9/65536],
    [[-7, -5, -7], -123/327680],
    [[-6, -6, -2], -323/327680],
    [[-5, 9, 3], -29/327680],
    [[2, -2, -4], -2443/163840],
    [[-4, 6, 2], 861/163840],
    [[-4, 2, -8], 15/32768],
    [[0, 2, -6], -27/10240],
    [[-9, 1, -5], -459/327680],
    [[-1, -7, -1], -833/163840],
    [[-1, -1, 9], 3/327680],
    [[-7, -1, 5], -423/327680],
    [[-9, -5, 5], -21/65536],
    [[4, -4, 0], -19/65536],
    [[3, -7, -7], -63/327680],
    [[4, -8, -2], 37/40960],
    [[-5, -7, 3], 231/327680],
    [[-3, -7, -3], -833/163840],
    [[6, 0, 2], -9/163840],
    [[5, 1, 3], -27/327680],
    [[0, -6, -2], -2443/163840],
    [[-4, -2, 4], -973/81920],
    [[3, 1, -3], 123/163840],
    [[2, -8, -6], -77/163840],
    [[4, -8, -6], 9/163840],
    [[-3, 7, -5], 3/20480],
    [[2, -4, 2], -27/10240],
    [[5, -5, 3], -21/163840],
    [[7, -5, -3], -29/327680],
    [[-5, -1, -7], -449/327680],
    [[1, -11, -5], -41/327680],
    [[-2, -6, -6], 221/327680],
    [[-1, -3, 5], -11/81920],
    [[-7, 3, -3], 127/81920],
    [[-8, 4, -6], -39/81920],
    [[4, 2, 4], -9/81920],
    [[4, -4, -2], 861/163840],
    [[-1, 3, 1], -361/327680],
    [[0, -2, 0], 1061/81920],
    [[0, 4, -6], 9/10240],
    [[-2, 2, 6], -19/65536],
    [[1, -1, 5], -369/327680],
    [[-6, -6, -10], 87/327680],
    [[-6, 6, -6], -111/163840],
    [[-3, 7, -1], 87/163840],
    [[-4, -10, -6], -57/163840],
    [[8, -4, -4], -47/163840],
    [[-9, -3, 1], 123/163840],
    [[7, 1, -1], 3/327680],
    [[-2, 2, -10], 51/81920],
    [[-1, -1, 1], 357/20480],
    [[-14, -2, -2], -3/32768],
    [[-4, 4, 8], 209/163840],
    [[-3, -13, -3], 3/81920],
    [[-4, 0, -10], 3/10240],
    [[-13, 3, 3], -41/327680],
    [[10, -2, -2], 3/40960],
    [[-5, 3, -9], -27/327680],
    [[-1, -5, -3], 1529/327680],
    [[-12, 0, 0], 319/163840],
    [[-11, -3, 3], 207/163840],
    [[-7, -9, -5], -21/163840],
    [[-6, -2, 8], 3/2048],
    [[-11, 1, 1], 199/163840],
    [[-2, 0, 4], -973/81920],
    [[-6, 8, 4], -41/163840],
    [[-5, 3, 9], -29/327680],
    [[-9, -1, 5], -227/65536],
    [[-10, 2, 2], -629/163840],
    [[-13, 3, -3], -57/327680],
    [[-6, 4, 8], -41/163840],
    [[-4, 0, 10], -3/10240],
    [[-10, 4, 2], 321/163840],
    [[0, -2, 8], -9/163840],
    [[-8, -2, 0], -973/81920],
    [[-3, -3, -13], 3/81920],
    [[-2, -8, 4], 57/163840],
    [[-2, -4, -8], 861/163840],
    [[5, -7, -7], 9/327680],
    [[3, -5, 1], 43/32768],
    [[-9, -7, -7], 3/65536],
    [[2, 4, -6], -39/81920],
    [[0, -2, -4], 3273/163840],
    [[-10, 4, -6], 3/32768],
    [[-8, -4, -2], -91/32768],
    [[-7, 3, 3], 1697/163840],
    [[-1, -3, -3], 783/327680],
    [[-2, -6, 6], 57/327680],
    [[-9, -1, -3], -449/327680],
    [[-7, 5, 3], 9/40960],
    [[-1, -5, -11], -29/327680],
    [[2, 0, 6], 57/163840],
    [[-9, 5, -1], -227/65536],
    [[-8, 4, 4], 1351/327680],
    [[-3, -11, -1], -93/327680],
    [[3, -7, 3], -21/65536],
    [[-7, 3, -5], 33/163840],
    [[3, 1, 3], 231/327680],
    [[5, 1, -3], 459/327680],
    [[-8, 4, -8], 3/20480],
    [[-3, -7, 3], -369/327680],
    [[-6, 10, -2], -63/163840],
    [[-5, -7, -3], 123/163840],
    [[-4, -8, -6], 391/163840],
    [[-4, -12, 0], -3/32768],
    [[-9, -5, -5], 141/327680],
    [[-7, -1, -7], -369/327680],
    [[-1, -1, -9], 287/163840],
    [[-3, 1, 7], 287/163840],
    [[1, 7, 3], -21/163840],
    [[-2, 8, -4], -9/163840],
    [[-2, 2, 4], 1033/163840],
    [[-5, 9, -3], -9/65536],
    [[-6, 2, -6], 533/327680],
    [[-7, -5, 7], -21/163840],
    [[0, -12, -4], -47/163840],
    [[2, -8, 0], 391/163840],
    [[-7, 1, 7], 39/32768],
    [[-7, -3, 7], 207/163840],
    [[-3, -7, -5], -423/327680],
    [[-2, -10, -4], -73/81920],
    [[-2, 6, -2], -1231/327680],
    [[3, -9, -5], -1/10240],
    [[-1, -3, -11], -25/65536],
    [[2, -10, -2], 209/163840],
    [[-5, -1, 1], -3461/327680],
    [[-7, -7, -9], 3/65536],
    [[-6, -8, -8], 3/32768],
    [[-8, -6, 0], -189/163840],
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    [[-1, -3, 7], 9/65536],
    [[-1, -3, 3], 541/65536],
    [[0, 6, -6], -9/81920],
    [[1, -7, -7], 3/327680],
    [[1, -7, -3], -117/40960],
    [[2, -2, 2], -323/327680],
    [[0, -2, 6], 15/32768],
    [[-11, 3, 5], -1/10240],
    [[2, 4, 6], 3/32768],
    [[-5, 5, -1], -833/163840],
    [[-6, 2, 8], 11/10240],
    [[2, -2, -10], 209/163840],
    [[8, -4, -2], 3/40960],
    [[-9, -1, -7], 57/163840],
    [[-3, 1, -9], 15/65536],
    [[1, -5, -1], -241/163840],
    [[-1, -1, 3], 1953/327680],
    [[7, -1, -3], -141/327680],
    [[-9, -5, 3], -123/327680],
    [[4, -2, -4], 861/163840],
    [[-8, 4, 6], -77/163840],
    [[-1, 7, 5], -21/163840],
    [[-13, 3, 1], -29/327680],
    [[-3, 5, 7], 91/327680],
    [[-1, 5, 5], -71/327680],
    [[-12, 0, 2], -73/81920],
    [[3, 1, -9], -21/163840],
    [[0, -8, -4], -629/163840],
    [[-6, -6, -8], -117/163840],
    [[-6, -2, 10], -63/163840],
    [[-12, -2, -4], -9/163840],
    [[-11, -3, -5], -27/327680],
    [[-2, 0, 8], -57/81920],
    [[3, 3, 1], 231/327680],
    [[-7, 5, -5], -123/327680],
    [[-9, -1, 7], 91/327680],
    [[-4, 0, -4], 979/65536],
    [[2, 6, 6], -3/65536],
    [[3, -1, -7], -227/65536],
    [[-7, 3, -9], -9/163840],
    [[-8, 4, -4], 109/65536],
    [[-1, -5, 3], -617/327680],
    [[-1, -1, -13], 3/81920],
    [[2, 2, 4], 9/10240],
    [[-1, -1, -7], -833/163840],
    [[5, -1, -5], 259/163840],
    [[1, -9, -1], 259/163840],
    [[-3, -3, -9], 287/163840],
    [[-10, -4, 0], -147/81920],
    [[-4, -6, -10], -57/163840],
    [[-7, -1, -9], 3/20480],
    [[2, -8, 4], 3/32768],
    [[-7, 7, -1], 259/163840],
    [[-10, 0, 2], 861/163840],
    [[-6, 0, 4], -2443/163840],
    [[-10, 4, 0], -69/16384],
    [[-9, -3, -5], 231/327680],
    [[-5, -9, -1], 15/65536],
    [[-7, 3, 5], 9/40960],
    [[0, -8, -2], 861/163840],
    [[-10, 6, -2], -391/327680],
    [[-2, -4, 6], 15/32768],
    [[1, -3, -3], 1529/327680],
    [[-7, -7, -3], -459/327680],
    [[-2, -2, 6], -1231/327680],
    [[2, -4, -8], 321/163840],
    [[5, -3, -3], 199/163840],
    [[-15, -1, 1], 3/81920],
    [[-5, 7, -1], 287/163840],
    [[3, 1, 5], 39/327680],
    [[4, 2, 0], 15/32768],
    [[-1, 5, -7], 39/327680],
    [[-3, 5, -3], -449/327680],
    [[3, -5, -5], 9/40960],
    [[4, 4, 0], 57/327680],
    [[-5, 5, 1], -213/32768],
    [[-2, 2, 8], 3/2048],
    [[-2, 0, -12], 3/40960],
    [[5, 3, -5], -21/163840],
    [[-9, 7, 5], 9/327680],
    [[7, -1, 1], 3/327680],
    [[3, 3, -7], -21/65536],
    [[7, -5, -1], -9/65536],
    [[-9, -3, -7], 39/327680],
    [[2, 6, 0], 57/163840],
    [[9, -1, -1], 3/81920],
    [[-13, -1, -1], -93/327680],
    [[-10, 0, 6], 37/40960],
    [[0, -12, -2], 3/40960],
    [[3, -3, -1], -833/163840],
    [[-2, 4, 6], 391/163840],
    [[1, 3, 1], -617/327680],
    [[-7, 1, -7], 231/327680],
    [[0, -2, -6], -2443/163840],
    [[4, 0, 4], 57/327680],
    [[-8, 4, 8], 59/327680],
    [[-1, 3, 9], -57/327680],
    [[-2, -6, 0], -973/81920],
    [[5, -1, -3], 287/163840],
    [[-4, 0, 6], -181/20480],
    [[-6, -8, -2], -147/81920],
    [[-4, -2, -6], -973/81920],
    [[-6, 6, 0], 861/163840],
    [[5, -3, 1], 459/327680],
    [[-6, -4, -4], 13/16384],
    [[-3, -1, -7], -487/65536],
    [[-5, 3, 7], 39/32768],
    [[-4, -10, -4], 3/2048],
    [[-4, -2, 2], 1061/81920],
    [[-1, -1, -5], -59/10240],
    [[-5, -7, -9], -21/163840],
    [[-4, -8, -4], -19/65536],
    [[3, -7, 1], -71/327680],
    [[-5, 3, -7], 231/327680],
    [[-5, -3, 7], 459/327680],
    [[0, -2, -8], 861/163840],
    [[-4, -2, -10], -57/81920],
    [[9, -1, -3], 3/81920],
    [[-4, -6, -4], 1033/163840],
    [[0, -10, -4], 11/10240],
    [[-11, 5, -5], 3/65536],
    [[-6, 2, -4], 13/16384],
    [[-7, -5, 1], -617/327680],
    [[-9, -7, -1], 57/163840],
    [[-2, -10, -2], 319/163840],
    [[5, -5, 1], 207/163840],
    [[-1, 1, -5], -361/327680],
    [[-5, 7, -3], 459/327680],
    [[-15, 1, 1], 3/81920],
    [[2, -2, -8], -69/16384],
    [[0, 4, -8], -111/163840],
    [[-8, 0, -2], -973/81920],
    [[-1, -3, -7], -213/32768],
    [[6, -2, 0], -57/81920],
    [[-3, -3, 9], 3/327680],
    [[-5, -1, 11], 3/81920],
    [[-3, 9, -1], -93/327680],
    [[4, -4, 2], 15/8192],
    [[0, -8, -8], -321/327680],
    [[-4, 10, 0], -3/10240],
    [[-7, -3, -1], 1953/327680],
    [[-4, -4, 4], -323/327680],
    [[-9, -7, 5], 3/65536],
    [[-10, -6, 2], -111/163840],
    [[-2, 6, 6], -391/327680],
    [[-4, -2, 10], 3/40960],
    [[4, 2, -8], 3/32768],
    [[0, -6, -8], 321/163840],
    [[1, -3, -11], -29/327680],
    [[-10, 0, -2], 321/81920],
    [[3, 3, -9], 3/65536],
    [[-8, 8, 2], -41/163840],
    [[-2, -12, -4], 3/40960],
    [[-2, -2, 10], -3/32768],
    [[9, -3, -1], 3/81920],
    [[1, -3, 5], 231/327680],
    [[-6, 8, -2], 3/2048],
    [[-11, 3, 1], 39/32768],
    [[-1, 7, -1], 15/65536],
    [[-7, 3, -1], -241/163840],
    [[-8, -2, -6], -189/163840],
    [[-4, -6, 2], -91/32768],
    [[-12, -2, 0], -57/81920],
    [[2, -6, 0], -167/32768],
    [[-6, 4, 0], -2443/163840],
    [[-13, -3, 1], -9/65536],
    [[3, 1, -1], -449/327680],
    [[-5, -5, -7], 43/32768],
    [[-8, -6, 6], 3/32768],
    [[-10, -2, -2], -1231/327680],
    [[-9, 5, 3], 3/327680],
    [[0, -4, 8], -27/327680],
    [[-2, 6, -4], 15/32768],
    [[2, -6, 4], -39/81920],
    [[-2, 0, -2], -173/40960],
    [[-9, 3, 3], 9/40960],
    [[1, -3, -7], -117/40960],
    [[-3, -5, -7], -423/327680],
    [[6, 0, 0], 3/10240],
    [[-10, 0, -6], 57/163840],
    [[0, 2, 6], 15/8192],
    [[-7, -3, -7], -459/327680],
    [[-4, 0, -8], -1231/327680],
    [[-2, 10, 0], 3/40960],
    [[-9, -5, -7], -3/327680],
    [[-8, -2, -2], 1829/163840],
    [[-3, 1, -11], 3/327680],
    [[-11, 1, -3], 459/327680],
    [[1, 1, 1], 541/65536],
    [[2, -2, 4], -189/163840],
    [[-2, 4, -2], 1829/163840],
    [[2, 0, -2], -973/81920],
    [[-6, 6, 4], 321/163840],
    [[1, -5, -3], 161/20480],
    [[2, -6, -6], 1351/327680],
    [[-9, 7, -1], 91/327680],
    [[2, 6, 2], -111/163840],
    [[6, -4, 0], 3/2048],
    [[6, 2, -6], 87/327680],
    [[-6, -6, 2], 533/327680],
    [[-8, -6, -6], -39/81920],
    [[-8, -4, 8], 87/327680],
    [[-2, -8, 0], 321/81920],
    [[2, -6, -2], 221/327680],
    [[3, -1, 3], -369/327680],
    [[-2, -4, 4], -91/32768],
    [[-4, -6, 0], 1829/163840],
    [[-1, 5, 1], 123/163840],
    [[-4, -4, -2], 1061/81920],
    [[3, -3, 3], -459/327680],
    [[-4, 8, -4], 51/81920],
    [[-5, 3, 1], 1529/327680],
    [[0, 6, -4], 63/163840],
    [[-4, -2, -12], 3/40960],
];

// Primal filter m_5
m_5 = [
    [[1, -1, -5], -361/327680],
    [[-5, 3, 5], -3/327680],
    [[6, -2, 2], -19/65536],
    [[-3, -1, 3], 541/65536],
    [[1, -5, 5], -213/32768],
    [[-6, 6, -2], 209/163840],
    [[7, 1, 3], -21/163840],
    [[0, 0, 8], 51/81920],
    [[1, -9, -3], 123/163840],
    [[5, -11, 1], 107/327680],
    [[1, 1, -3], -361/327680],
    [[6, -4, 0], -181/20480],
    [[-8, 2, -8], 9/163840],
    [[-2, 8, -2], -3/10240],
    [[1, -9, 5], -1109/327680],
    [[5, -3, -3], -449/327680],
    [[4, -6, -4], -27/10240],
    [[1, -5, -11], -9/327680],
    [[-4, -12, 2], -57/163840],
    [[0, -10, 2], 861/163840],
    [[8, 0, 2], -57/163840],
    [[-5, -9, -7], -3/327680],
    [[6, -2, 6], -391/327680],
    [[-5, -11, -1], 3/20480],
    [[8, -6, -2], 3/2048],
    [[-3, 3, -9], 107/327680],
    [[0, -12, 2], -73/81920],
    [[3, -9, -7], -3/327680],
    [[4, 2, -6], -39/81920],
    [[3, -9, 3], 9/40960],
    [[-4, -6, 8], -57/163840],
    [[-5, -5, 5], -459/327680],
    [[4, 0, -2], -91/32768],
    [[-4, -4, -10], 3/2048],
    [[-6, -6, -4], -27/10240],
    [[-5, 1, -7], 9/40960],
    [[6, -10, -2], -391/327680],
    [[-5, -1, 3], -617/327680],
    [[6, -6, -2], -19/65536],
    [[-11, -5, 1], -9/327680],
    [[-5, -7, -1], -191/40960],
    [[-4, 4, -8], -321/327680],
    [[6, -4, -6], 57/163840],
    [[7, -7, -5], -21/163840],
    [[-6, 4, 0], 391/163840],
    [[-2, 2, -6], 221/327680],
    [[-1, 7, -3], -141/327680],
    [[-8, -8, 0], 57/327680],
    [[1, 1, -11], -57/327680],
    [[0, 6, -2], -57/81920],
    [[5, -9, -1], -227/65536],
    [[0, 0, -6], 1033/163840],
    [[-2, -14, 2], -63/163840],
    [[-11, -1, 1], -9/65536],
    [[1, -15, -1], 3/81920],
    [[1, -3, 1], -3461/327680],
    [[3, 3, -9], 3/65536],
    [[2, -4, 0], -785/32768],
    [[9, -5, 3], -29/327680],
    [[4, -2, 2], 1033/163840],
    [[-9, 3, -5], -1/10240],
    [[4, -8, 4], 1351/327680],
    [[-6, 4, 4], 3/32768],
    [[0, 4, 2], 15/32768],
    [[-9, 1, -7], -1/10240],
    [[-6, -8, 2], 9/10240],
    [[-8, -6, -4], 15/8192],
    [[-1, 1, 1], 1953/327680],
    [[1, -7, -5], -617/327680],
    [[-2, -8, 8], -57/163840],
    [[-1, -11, -5], 3/20480],
    [[-5, -1, -5], 161/20480],
    [[6, 0, -6], -9/81920],
    [[2, -12, -2], 3/2048],
    [[-9, 3, -1], 91/327680],
    [[5, -5, -1], -833/163840],
    [[-2, 0, 4], -91/32768],
    [[-6, -10, -2], 57/327680],
    [[-5, 5, 3], -21/163840],
    [[-8, -8, 2], -9/81920],
    [[-3, -9, 1], 123/163840],
    [[-2, -2, -2], 159601/327680],
    [[0, -6, 10], 3/40960],
    [[-3, -5, 3], -361/327680],
    [[1, -1, -3], 2753/327680],
    [[3, -5, 9], -29/327680],
    [[-2, 2, 0], -973/81920],
    [[8, -8, 2], -41/163840],
    [[7, -5, -1], 287/163840],
    [[1, 5, -1], 15/65536],
    [[4, -12, -2], -57/163840],
    [[-5, -11, 3], -21/163840],
    [[8, -2, 2], 3/2048],
    [[-6, -6, 6], -111/163840],
    [[-2, 0, -6], -2443/163840],
    [[-6, 4, -8], 9/163840],
    [[4, 0, 4], 109/65536],
    [[2, -10, 2], -629/163840],
    [[3, -1, 5], 43/32768],
    [[4, -8, -6], -39/81920],
    [[5, -5, -3], 123/163840],
    [[4, -2, 0], -973/81920],
    [[-7, 1, 5], -3/327680],
    [[-2, -10, 6], -391/327680],
    [[-3, 1, 1], -361/327680],
    [[2, 4, 0], 15/32768],
    [[-7, -5, -7], -71/327680],
    [[-6, -6, -2], -323/327680],
    [[5, -9, 3], 3/327680],
    [[2, -2, -4], 783/163840],
    [[-3, -1, -5], 1529/327680],
    [[0, 2, -6], -167/32768],
    [[-9, 1, -5], 37/40960],
    [[-1, -7, -1], 21/10240],
    [[-1, -1, 9], 3/327680],
    [[-7, -1, 5], 39/327680],
    [[4, -4, 0], -889/327680],
    [[3, -7, -7], 141/327680],
    [[-4, -8, 6], -117/163840],
    [[-5, -7, 3], 33/163840],
    [[-3, 5, 1], 459/327680],
    [[6, 0, 2], 15/8192],
    [[5, 1, 3], -123/327680],
    [[0, -6, -2], 1061/81920],
    [[-4, -2, 4], -91/32768],
    [[3, 1, -3], -617/327680],
    [[6, 2, 0], 57/163840],
    [[-4, 0, -6], 257/16384],
    [[-3, 7, -5], -29/327680],
    [[2, -4, 2], 3273/163840],
    [[5, 3, -5], -3/327680],
    [[-1, -5, 9], -141/327680],
    [[-7, -7, 1], 231/327680],
    [[-5, -1, -7], -117/40960],
    [[-2, -6, -6], -323/327680],
    [[-1, -3, 5], -487/65536],
    [[-7, 3, -3], -1109/327680],
    [[-8, 4, -6], 9/163840],
    [[4, -2, -8], 57/163840],
    [[-2, -10, 4], 391/163840],
    [[-1, 3, 1], -449/327680],
    [[0, -2, 0], -173/40960],
    [[0, 4, -6], 391/163840],
    [[-2, 2, 6], 57/327680],
    [[-3, 3, 1], 123/163840],
    [[0, -12, 4], 209/163840],
    [[-6, -6, -10], 87/327680],
    [[5, -3, -5], -369/327680],
    [[-3, 7, -1], -141/327680],
    [[8, -4, -4], 51/81920],
    [[-9, -3, 1], 15/65536],
    [[4, -10, 4], -77/163840],
    [[-2, 2, -10], 209/163840],
    [[-1, -1, 1], 357/20480],
    [[-14, -2, -2], 3/40960],
    [[4, -4, 8], 209/163840],
    [[-3, -13, -3], -9/327680],
    [[-4, 0, -10], 11/10240],
    [[-2, -6, 10], -63/163840],
    [[10, -2, -2], -3/32768],
    [[-5, 3, -9], -1/10240],
    [[-1, -5, -3], 357/20480],
    [[-12, 0, 0], -63/163840],
    [[-7, -9, -5], -3/327680],
    [[-7, -9, 5], 3/65536],
    [[-11, 1, 1], -57/327680],
    [[2, -4, 10], 3/40960],
    [[-1, -5, 1], -3461/327680],
    [[4, -2, 6], 391/163840],
    [[-7, 5, 1], -21/163840],
    [[10, -2, 2], -63/163840],
    [[-6, 4, -2], -69/16384],
    [[-3, -13, 3], -57/327680],
    [[0, -2, 8], -57/81920],
    [[-6, -10, 4], 3/32768],
    [[-8, -2, 0], 321/81920],
    [[-3, -3, -13], 3/81920],
    [[-2, -8, 4], -167/32768],
    [[-2, -4, -8], 321/81920],
    [[5, -7, -7], -3/327680],
    [[3, -5, 1], 1529/327680],
    [[-9, -7, -7], 3/65536],
    [[-7, 1, -3], -117/40960],
    [[1, -1, 5], 123/163840],
    [[0, -2, -4], 1061/81920],
    [[-7, -1, 3], -459/327680],
    [[-8, -4, -2], 321/81920],
    [[-7, 3, 3], -21/65536],
    [[-1, -3, -3], -91/40960],
    [[1, 7, 1], -9/327680],
    [[-2, -6, 6], -19/65536],
    [[1, -11, 5], 107/327680],
    [[9, -1, 3], -57/327680],
    [[7, -5, 3], 39/32768],
    [[-1, -5, -11], 3/327680],
    [[2, 0, 6], 15/8192],
    [[9, -5, -1], -141/327680],
    [[4, -10, 6], 9/163840],
    [[-3, -11, -1], 15/65536],
    [[3, -7, 3], 1697/163840],
    [[-7, 3, -5], 3/327680],
    [[3, 1, 3], 33/163840],
    [[5, 1, -3], 231/327680],
    [[-8, 4, -8], -9/327680],
    [[-3, -7, 3], 127/81920],
    [[-6, 4, 2], -117/163840],
    [[-5, -7, -3], -617/327680],
    [[-4, 0, 2], 13/16384],
    [[3, -7, 7], 37/40960],
    [[7, -9, -1], 91/327680],
    [[-9, -5, -5], 207/163840],
    [[-7, -1, -7], -1109/327680],
    [[-1, -1, -9], 287/163840],
    [[-1, 7, -1], -93/327680],
    [[8, -4, 4], 209/163840],
    [[-2, -12, 0], -57/81920],
    [[-2, 2, 4], -189/163840],
    [[5, -9, -3], -71/327680],
    [[-6, 2, -6], 1351/327680],
    [[0, -12, -4], 51/81920],
    [[2, -8, 0], -2443/163840],
    [[1, 5, -5], 207/163840],
    [[-7, 1, -5], 9/40960],
    [[-3, -7, -5], -617/327680],
    [[-2, -10, -4], 15/32768],
    [[1, -13, 1], -25/65536],
    [[-4, -8, 8], 87/327680],
    [[-1, -3, -11], -93/327680],
    [[10, -4, -2], 3/40960],
    [[2, -10, -2], -19/65536],
    [[-5, -1, 1], -361/327680],
    [[-7, -7, -9], 3/65536],
    [[-6, -8, -8], 3/32768],
    [[0, 8, -2], 3/40960],
    [[-6, -2, -8], -69/16384],
    [[-5, -11, -3], -27/327680],
    [[4, -12, 2], -41/163840],
    [[8, -8, -2], -57/163840],
    [[-9, -7, 3], -9/163840],
    [[-4, -10, -2], 15/32768],
    [[3, -5, -9], -27/327680],
    [[4, -6, -8], -9/81920],
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    [[-2, -12, 4], -57/163840],
    [[3, -5, 7], 39/32768],
    [[7, -3, 3], 259/163840],
    [[-1, -5, -5], 1953/327680],
    [[-11, -3, 1], 3/327680],
    [[0, -8, -4], -323/327680],
    [[-6, 2, 0], -167/32768],
    [[3, 5, 3], -9/163840],
    [[-11, -3, -5], -9/65536],
    [[-2, 0, 8], -9/163840],
    [[-6, -2, 4], -189/163840],
    [[-1, -1, -5], -59/10240],
    [[-7, 5, -5], -1/10240],
    [[-1, -13, 1], -141/327680],
    [[4, -8, -4], 109/65536],
    [[7, -1, 3], 207/163840],
    [[-7, 3, -9], 9/327680],
    [[5, -11, -1], 91/327680],
    [[-1, -5, 3], -59/10240],
    [[-1, -1, -13], 3/81920],
    [[2, 2, 4], 9/10240],
    [[-1, -1, -7], -833/163840],
    [[5, -1, -5], 231/327680],
    [[-9, -1, -3], 199/163840],
    [[5, 1, -7], -3/327680],
    [[1, -9, -1], -833/163840],
    [[-7, 5, 3], 3/65536],
    [[-10, -4, 0], 3/10240],
    [[-4, -6, -10], -57/163840],
    [[4, -12, -4], 87/327680],
    [[-7, -1, -9], 107/327680],
    [[2, 4, -8], 3/32768],
    [[7, -7, -1], 259/163840],
    [[-10, -4, -2], -57/81920],
    [[6, -4, 4], -69/16384],
    [[-4, -2, 2], 783/163840],
    [[-8, -4, -8], -391/327680],
    [[7, -3, 5], 91/327680],
    [[0, -8, -2], -973/81920],
    [[2, -4, -6], -91/32768],
    [[-4, -4, -6], 1033/163840],
    [[9, -1, 1], -9/65536],
    [[-7, -7, -3], -459/327680],
    [[2, -6, -2], -2707/327680],
    [[-2, 0, -8], 861/163840],
    [[3, -5, -7], 231/327680],
    [[-5, 3, -3], -117/40960],
    [[-7, -9, -3], 39/327680],
    [[-2, -6, -4], 783/163840],
    [[5, -7, -1], -423/327680],
    [[3, 1, 5], -123/327680],
    [[4, -10, -2], 391/163840],
    [[-4, 6, -4], 11/10240],
    [[-1, 5, -7], 91/327680],
    [[3, -5, -3], -361/327680],
    [[3, -5, -5], -617/327680],
    [[4, 4, 0], 57/327680],
    [[-5, 5, 1], 207/163840],
    [[3, -11, -3], 207/163840],
    [[5, -5, 3], -117/40960],
    [[-6, 0, -6], -579/81920],
    [[7, -1, 1], 459/327680],
    [[3, 3, -7], -21/65536],
    [[-7, 5, -1], 91/327680],
    [[-9, -3, -7], 91/327680],
    [[2, 6, 0], -9/163840],
    [[9, -1, -1], 3/327680],
    [[-13, -1, -1], 3/81920],
    [[0, 4, 4], 57/327680],
    [[-5, -3, 5], -369/327680],
    [[3, -3, -1], 21/10240],
    [[2, 4, -6], -117/163840],
    [[1, 3, 1], -11/81920],
    [[-7, 1, -7], 3/327680],
    [[0, 2, 6], 57/163840],
    [[-6, -8, -2], -189/163840],
    [[1, -13, 3], -29/327680],
    [[-1, -3, -9], 87/163840],
    [[2, -8, -6], 9/10240],
    [[-2, -6, 0], 1061/81920],
    [[1, -11, 3], 39/32768],
    [[5, -1, -3], -11/81920],
    [[-4, 0, 6], 63/163840],
    [[-2, 4, 4], 57/163840],
    [[-4, -2, -6], -2443/163840],
    [[-6, 6, 0], -57/163840],
    [[6, 2, -6], 3/20480],
    [[4, -12, 4], 59/327680],
    [[3, -1, 7], 207/163840],
    [[5, 1, -5], 141/327680],
    [[-4, -10, -4], 63/163840],
    [[-3, -7, 9], -57/327680],
    [[4, -6, -2], 1033/163840],
    [[-5, -7, -9], -21/163840],
    [[-4, -8, -4], 533/327680],
    [[6, -2, 4], 391/163840],
    [[5, 1, 5], -21/65536],
    [[-5, -3, 7], 3/20480],
    [[0, -2, -8], 321/81920],
    [[-9, 3, 1], -21/163840],
    [[-4, 6, 0], 3/2048],
    [[6, -8, 6], 9/163840],
    [[0, -10, -4], -147/81920],
    [[-6, 2, -4], -579/81920],
    [[-7, -5, 1], -11/81920],
    [[6, 0, 4], -117/163840],
    [[-2, -10, -2], -1231/327680],
    [[-9, 1, -1], 259/163840],
    [[1, -7, 3], 161/20480],
    [[-1, 1, -5], -241/163840],
    [[-5, 7, -3], -29/327680],
    [[6, -10, 4], 9/163840],
    [[-2, 2, -8], -69/16384],
    [[4, -8, 2], -579/81920],
    [[7, -1, -5], -27/327680],
    [[-1, -3, -7], -487/65536],
    [[-2, -6, 8], 3/2048],
    [[-3, -3, 9], 3/327680],
    [[-3, 9, -1], 3/81920],
    [[-4, 4, 2], 15/8192],
    [[-4, -12, 0], 51/81920],
    [[-3, -5, 7], 459/327680],
    [[-7, -3, -1], -487/65536],
    [[-5, -9, 1], -459/327680],
    [[-4, -4, 4], -323/327680],
    [[-9, 1, -3], 39/32768],
    [[-10, -6, 2], -27/327680],
    [[2, 6, 2], -27/327680],
    [[-2, 6, 2], 51/81920],
    [[0, -6, -8], 15/32768],
    [[1, -3, -11], 3/327680],
    [[-10, 0, -2], -73/81920],
    [[-3, -3, -9], 287/163840],
    [[0, -8, 8], 209/163840],
    [[-2, 8, 0], 3/40960],
    [[-2, -2, 10], -3/32768],
    [[3, -7, 1], 161/20480],
    [[1, -3, 5], -833/163840],
    [[-12, -4, -4], -63/163840],
    [[11, -3, 1], 3/81920],
    [[-3, 1, 7], -27/327680],
    [[-7, 3, -1], -227/65536],
    [[-1, -11, 1], 287/163840],
    [[-4, -6, 2], 13/16384],
    [[2, -6, 0], 3273/163840],
    [[6, -8, 0], -69/16384],
    [[-4, -2, 0], 1061/81920],
    [[3, 1, -1], -191/40960],
    [[5, -7, 5], 3/327680],
    [[-6, 4, -6], -77/163840],
    [[-10, -2, -2], 319/163840],
    [[5, -3, 1], -833/163840],
    [[-4, -6, 0], 783/163840],
    [[-2, 6, -4], -73/81920],
    [[2, -6, 4], 257/16384],
    [[-1, -9, 3], -423/327680],
    [[9, -3, 3], -9/65536],
    [[4, 4, 4], 3/20480],
    [[-3, -5, -7], 123/163840],
    [[-6, 0, -4], 257/16384],
    [[-1, 9, -3], 3/81920],
    [[3, -1, -7], -459/327680],
    [[0, -2, -6], -973/81920],
    [[-5, 3, -1], -423/327680],
    [[-7, -3, -7], -227/65536],
    [[7, 1, 5], 3/65536],
    [[-13, -3, -3], 3/81920],
    [[0, 0, 0], 979/65536],
    [[-9, -5, -7], -21/163840],
    [[-8, -2, -2], -181/20480],
    [[1, -3, -7], -449/327680],
    [[5, 3, -3], 39/327680],
    [[1, 1, 1], 541/65536],
    [[6, 2, -4], -9/81920],
    [[3, -3, 3], -241/163840],
    [[2, 0, -2], 783/163840],
    [[6, -6, 4], 321/163840],
    [[-1, -15, 1], 3/81920],
    [[2, 2, 2], 533/327680],
    [[9, -7, -1], -9/65536],
    [[-9, -7, -5], -21/163840],
    [[-6, -4, -4], 1033/163840],
    [[-6, -2, -6], 221/327680],
    [[-6, -6, 2], 533/327680],
    [[4, 0, 0], -323/327680],
    [[-2, -8, 0], -973/81920],
    [[-2, 6, -2], 319/163840],
    [[-3, -1, -3], 783/327680],
    [[3, -9, -5], -123/327680],
    [[4, 2, 0], -189/163840],
    [[-1, -3, 1], -91/40960],
    [[-1, 5, 1], 15/65536],
    [[-4, -4, -2], 1061/81920],
    [[-3, -5, -5], -361/327680],
    [[-4, 8, -4], -47/163840],
    [[-5, 3, 1], 43/32768],
    [[0, -6, 0], -785/32768],
    [[2, 4, -4], 15/8192],
];

// Primal filter m_6
m_6 = [
    [[8, 0, -8], 209/163840],
    [[-2, -4, -4], 1061/81920],
    [[5, 1, -7], -117/40960],
    [[6, -2, 2], 57/327680],
    [[-3, -1, 3], -833/163840],
    [[1, -5, 5], 207/163840],
    [[6, -6, -2], 57/327680],
    [[6, 6, -2], -391/327680],
    [[0, 0, 8], -3/32768],
    [[1, -9, -3], 15/65536],
    [[2, 8, -8], -41/163840],
    [[1, 1, -3], -3461/327680],
    [[2, 2, -10], -629/163840],
    [[-8, 2, -8], -9/81920],
    [[-2, 8, -2], 3/10240],
    [[0, 0, -14], -3/10240],
    [[7, 1, -9], 107/327680],
    [[-4, 2, -4], 783/163840],
    [[4, -4, -12], 87/327680],
    [[0, -10, 2], -57/163840],
    [[-5, -9, -7], -21/163840],
    [[-6, 2, 6], 87/327680],
    [[-12, -2, -2], -3/10240],
    [[-2, -10, -4], -57/81920],
    [[4, 8, -2], -57/163840],
    [[-3, 3, -9], 43/32768],
    [[-4, 2, -2], 783/163840],
    [[-5, -7, -7], -123/327680],
    [[4, 2, -6], 257/16384],
    [[3, -9, 3], 3/65536],
    [[4, -2, -12], -57/163840],
    [[5, -7, -7], -3/327680],
    [[4, 0, -2], -973/81920],
    [[4, 4, -10], -77/163840],
    [[-6, -6, -4], -167/32768],
    [[-5, 1, -7], -617/327680],
    [[3, -7, 3], -21/65536],
    [[5, -7, -3], 57/163840],
    [[-6, 6, -2], 57/327680],
    [[-11, -5, 1], -41/327680],
    [[-5, -7, -1], -117/40960],
    [[-4, 4, -8], 109/65536],
    [[-6, 0, -6], -91/32768],
    [[3, -3, -13], -57/327680],
    [[6, 4, -4], -69/16384],
    [[3, -1, -11], 259/163840],
    [[6, -6, -10], -3/65536],
    [[-8, -8, 0], -321/327680],
    [[-9, -3, -1], 199/163840],
    [[-7, -1, -9], 57/163840],
    [[1, 1, -11], 199/163840],
    [[0, 6, -2], 321/81920],
    [[1, -1, -11], 287/163840],
    [[0, 0, -6], -785/32768],
    [[-3, -13, -1], 3/81920],
    [[-3, 3, 3], -459/327680],
    [[-11, -1, 1], -9/65536],
    [[1, -3, 1], -361/327680],
    [[-3, 1, 1], -361/327680],
    [[4, -2, 2], -189/163840],
    [[-9, 3, -5], -27/327680],
    [[-3, -1, 1], -59/10240],
    [[-6, -8, -8], 3/32768],
    [[0, 4, 2], -189/163840],
    [[-6, -8, 2], -77/163840],
    [[-8, -6, -4], 391/163840],
    [[-1, 1, 1], 1953/327680],
    [[1, -7, -5], -11/81920],
    [[-2, 4, -12], -57/163840],
    [[-9, -5, -7], -21/163840],
    [[-1, -11, -5], 3/327680],
    [[-1, 5, -7], -423/327680],
    [[-1, -9, 3], 91/327680],
    [[5, -5, -1], 231/327680],
    [[11, 1, -5], 3/81920],
    [[-6, -10, -2], 209/163840],
    [[-5, 5, 3], -3/327680],
    [[-4, 8, -2], -9/163840],
    [[-3, -9, 1], 39/32768],
    [[-2, -2, -2], 159601/327680],
    [[0, 6, -10], 37/40960],
    [[-3, -5, 3], -117/40960],
    [[1, -1, -3], -91/40960],
    [[-3, -7, 1], -117/40960],
    [[-6, -2, -8], -189/163840],
    [[-9, -7, -3], 91/327680],
    [[4, 4, -8], 1351/327680],
    [[1, 5, -1], 123/163840],
    [[2, 2, 4], 63/163840],
    [[8, 2, -2], 3/2048],
    [[-6, -6, 6], 59/327680],
    [[2, -4, -6], 13/16384],
    [[-6, 4, -8], -39/81920],
    [[4, 0, 4], 57/327680],
    [[2, -10, 2], 87/327680],
    [[3, -1, 5], 3/20480],
    [[4, -8, -6], -9/81920],
    [[-5, -7, 1], 9/40960],
    [[1, 3, -3], -59/10240],
    [[-7, -9, -1], 107/327680],
    [[-7, 1, 5], -21/163840],
    [[5, -5, 1], 141/327680],
    [[2, 4, 0], -27/10240],
    [[0, 10, -2], 3/40960],
    [[7, 5, -7], -1/10240],
    [[-6, -6, -2], 221/327680],
    [[2, -2, -4], 1061/81920],
    [[-4, 6, 2], -9/81920],
    [[-4, 2, -8], -27/10240],
    [[0, 2, -6], 3273/163840],
    [[-9, 1, -5], 9/65536],
    [[-1, -7, -1], -833/163840],
    [[-1, -1, 9], 3/81920],
    [[-7, -1, 5], 91/327680],
    [[4, -4, 0], 533/327680],
    [[-3, 7, -7], 207/163840],
    [[4, -8, -2], 57/163840],
    [[-5, -7, 3], 3/327680],
    [[3, -5, -9], -123/327680],
    [[3, 7, -3], 259/163840],
    [[6, 0, 2], 57/163840],
    [[5, 1, 3], 39/327680],
    [[0, -6, -2], -973/81920],
    [[4, -6, -8], -39/81920],
    [[3, 1, -3], -59/10240],
    [[6, 2, 0], 15/8192],
    [[-4, 0, -6], 783/163840],
    [[-3, 7, -5], 459/327680],
    [[-2, -4, -2], -785/32768],
    [[-5, -3, -5], -361/327680],
    [[-1, 5, -9], -227/65536],
    [[-7, -7, 1], 3/327680],
    [[-5, -1, -7], -191/40960],
    [[1, -11, -5], -9/327680],
    [[-2, -6, -6], -323/327680],
    [[0, -8, 4], -391/327680],
    [[-7, 3, -3], -369/327680],
    [[-8, -4, 2], 321/163840],
    [[4, 2, 4], -9/81920],
    [[-2, -2, -4], -173/40960],
    [[-1, 3, 1], -191/40960],
    [[0, -2, 0], 1061/81920],
    [[0, 4, -6], -2443/163840],
    [[0, 12, -4], 3/40960],
    [[-6, -6, -10], 3/20480],
    [[2, -2, -12], 3/2048],
    [[-3, 7, -1], 9/65536],
    [[-4, -10, -6], -57/163840],
    [[8, -4, -4], 51/81920],
    [[-9, -3, 1], 39/32768],
    [[7, 1, -1], 459/327680],
    [[-2, 2, -10], -19/65536],
    [[-1, -1, 1], 21/10240],
    [[-14, -2, -2], 3/40960],
    [[-3, -13, -3], 3/81920],
    [[-4, 0, -10], -147/81920],
    [[3, -3, -11], 207/163840],
    [[10, -2, -2], -3/32768],
    [[5, -3, -9], -71/327680],
    [[-1, -5, -3], 21/10240],
    [[-12, 0, 0], -63/163840],
    [[3, 1, -11], 39/32768],
    [[-7, -9, -5], -21/163840],
    [[-9, 3, 3], 3/65536],
    [[-11, 1, 1], -57/327680],
    [[-2, -4, -8], -91/32768],
    [[-1, -5, 1], -241/163840],
    [[5, 1, -11], 107/327680],
    [[9, -1, -5], -141/327680],
    [[-10, 2, 2], 87/327680],
    [[1, 7, -9], 107/327680],
    [[-6, 4, -2], -189/163840],
    [[0, -2, 8], 3/40960],
    [[0, 4, -12], 209/163840],
    [[-8, -2, 0], 861/163840],
    [[3, 3, -13], -41/327680],
    [[2, -8, -8], -9/81920],
    [[-2, 0, 4], 321/81920],
    [[-5, 7, -7], -21/163840],
    [[3, -5, 1], 33/163840],
    [[-7, -3, 1], -117/40960],
    [[1, -1, 5], 15/65536],
    [[0, -2, -4], -173/40960],
    [[2, 6, -8], 321/163840],
    [[-8, -4, -2], 861/163840],
    [[-7, 3, 3], -21/65536],
    [[-1, -3, -3], -91/40960],
    [[-2, -6, 6], 209/163840],
    [[1, 9, -7], -29/327680],
    [[-9, -1, -3], 87/163840],
    [[-7, 5, 3], 3/65536],
    [[-1, -5, -11], 3/20480],
    [[2, 0, 6], -9/163840],
    [[-8, 4, 4], -3/65536],
    [[-3, -11, -1], -25/65536],
    [[-7, 3, -5], 231/327680],
    [[3, 1, 3], 231/327680],
    [[5, 1, -3], -833/163840],
    [[-8, 4, -8], 3/20480],
    [[-3, -7, 3], -1109/327680],
    [[-6, 4, 2], -39/81920],
    [[5, 7, -3], 91/327680],
    [[4, 0, -6], -2443/163840],
    [[-4, -12, 0], -47/163840],
    [[-9, -5, -5], 207/163840],
    [[-7, -1, -7], -369/327680],
    [[-1, -1, -9], -487/65536],
    [[-3, 1, 7], -9/65536],
    [[8, 4, -4], 209/163840],
    [[2, 8, 0], -57/163840],
    [[4, 4, -6], -579/81920],
    [[2, -2, 4], -147/81920],
    [[-6, 2, -6], 533/327680],
    [[0, -12, -4], -3/32768],
    [[2, -8, 0], 15/8192],
    [[7, 3, -5], 39/32768],
    [[-1, 1, -15], 3/81920],
    [[-7, 1, -5], -11/81920],
    [[-3, -7, -5], 123/163840],
    [[2, 10, -4], 3/40960],
    [[-2, 6, -2], -1231/327680],
    [[-3, 9, -5], -9/65536],
    [[-1, -3, -11], 15/65536],
    [[2, -10, -2], 51/81920],
    [[-5, -1, 1], -241/163840],
    [[-7, -7, -9], 3/65536],
    [[6, 4, -8], -77/163840],
    [[-1, 7, -3], 87/163840],
    [[-4, 2, -12], -57/163840],
    [[0, 8, -2], -57/81920],
    [[0, 2, 6], -9/163840],
    [[6, 2, -8], 321/163840],
    [[-5, -11, -3], -9/65536],
    [[-2, -2, -12], 3/10240],
    [[-9, -7, 3], 9/327680],
    [[-4, -10, -2], -73/81920],
    [[-3, 5, -9], -71/327680],
    [[-4, -2, 4], 861/163840],
    [[-6, 0, -10], 57/163840],
    [[3, -7, -3], -369/327680],
    [[4, -4, -8], 109/65536],
    [[-5, -3, 5], 39/32768],
    [[-6, -10, 2], 59/327680],
    [[0, 4, -2], -973/81920],
    [[-5, -5, -1], 161/20480],
    [[-4, -4, -10], 63/163840],
    [[2, 2, -14], -47/163840],
    [[-1, -7, 3], -227/65536],
    [[1, -1, -1], 357/20480],
    [[2, 4, -12], -41/163840],
    [[1, 5, -7], -117/40960],
    [[-1, 1, -7], -59/10240],
    [[-8, -6, 0], 321/163840],
    [[1, 3, -7], 161/20480],
    [[0, -4, 6], 3/2048],
    [[-8, 0, -4], -1231/327680],
    [[-5, -1, -1], -59/10240],
    [[5, -1, -9], -227/65536],
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    [[-7, 3, -9], -3/327680],
    [[-8, -4, 4], -321/327680],
    [[-1, -5, 3], -423/327680],
    [[-1, -1, -13], -93/327680],
    [[0, 2, -14], 3/40960],
    [[-1, -1, -7], 21/10240],
    [[-5, -1, 5], 259/163840],
    [[1, -9, -1], 459/327680],
    [[-3, -9, -1], 199/163840],
    [[3, 3, -9], 9/40960],
    [[-10, -4, 0], 11/10240],
    [[-4, -6, -10], -9/81920],
    [[4, -6, 0], 9/10240],
    [[2, -8, 4], 3/32768],
    [[-10, -4, -2], -73/81920],
    [[-6, 0, 4], 391/163840],
    [[0, -2, -14], 3/40960],
    [[9, 3, -5], -29/327680],
    [[-5, -9, -1], 39/32768],
    [[-7, 3, 5], 3/65536],
    [[0, -8, -2], 321/81920],
    [[-2, 0, -6], 1061/81920],
    [[-4, -4, -6], 13/16384],
    [[1, -3, -3], 357/20480],
    [[-7, -7, -3], -227/65536],
    [[-2, -2, 6], 319/163840],
    [[-2, 0, -8], -973/81920],
    [[5, -3, -3], -449/327680],
    [[-7, -9, -3], 91/327680],
    [[-2, -6, -4], -973/81920],
    [[-6, 6, -10], -3/65536],
    [[5, -7, -1], 39/327680],
    [[3, 1, 5], -27/327680],
    [[-4, 6, -4], -147/81920],
    [[-1, -5, 7], -9/65536],
    [[-3, 5, -3], -449/327680],
    [[3, -5, -5], -617/327680],
    [[4, 4, 0], 109/65536],
    [[-5, 5, 1], 141/327680],
    [[4, 0, -12], 209/163840],
    [[-2, 0, -12], -57/81920],
    [[5, -5, 3], -3/327680],
    [[-13, -3, -1], 3/81920],
    [[7, -1, 1], 3/20480],
    [[-1, -1, -15], 3/81920],
    [[-3, -3, -7], 541/65536],
    [[-7, 5, -1], 39/327680],
    [[9, 3, -7], -41/327680],
    [[8, 4, -2], -57/163840],
    [[2, 6, 0], 15/8192],
    [[6, -2, -10], -391/327680],
    [[-2, 2, 6], 51/81920],
    [[-13, -1, -1], 3/81920],
    [[0, -4, -4], 979/65536],
    [[8, 2, -6], 11/10240],
    [[5, -5, -3], -369/327680],
    [[-3, 3, -1], 541/65536],
    [[2, 4, -6], 257/16384],
    [[-1, 1, -13], -141/327680],
    [[-7, 1, -7], 231/327680],
    [[0, -2, -6], 1061/81920],
    [[-2, -10, -2], 319/163840],
    [[1, 3, -13], -29/327680],
    [[-1, -3, -9], -449/327680],
    [[-2, -6, 0], -2443/163840],
    [[5, -1, -3], -487/65536],
    [[-4, 0, 6], 3/2048],
    [[6, 4, -2], 391/163840],
    [[-1, 3, -1], 1953/327680],
    [[-6, -4, 4], 321/163840],
    [[4, 6, -6], 321/163840],
    [[-6, 6, 0], -9/81920],
    [[5, -3, 1], 231/327680],
    [[6, -4, 0], 63/163840],
    [[-5, 3, -3], -191/40960],
    [[-3, -1, -7], 1953/327680],
    [[5, 1, -5], -213/32768],
    [[-2, 2, -12], 3/2048],
    [[3, -5, -11], -21/163840],
    [[4, -6, -2], -189/163840],
    [[5, 7, -1], -21/163840],
    [[-1, -1, -5], -91/40960],
    [[5, 7, -9], 9/327680],
    [[-4, -8, -4], -19/65536],
    [[3, 3, -5], 161/20480],
    [[5, -3, -7], 43/32768],
    [[-5, -3, 7], -29/327680],
    [[0, -2, -8], -973/81920],
    [[-9, 3, 1], -21/163840],
    [[-4, -6, -4], 1033/163840],
    [[0, -10, -4], 3/10240],
    [[-6, 2, -4], -91/32768],
    [[7, 5, 1], 3/65536],
    [[6, -4, -8], -117/163840],
    [[2, 10, -2], -63/163840],
    [[1, -7, 3], -71/327680],
    [[-5, -7, -3], -423/327680],
    [[-5, 7, -3], 3/20480],
    [[-7, -5, -5], 43/32768],
    [[-2, 2, -8], 1033/163840],
    [[4, -8, 2], 3/32768],
    [[7, -1, -5], 287/163840],
    [[-1, -3, -7], 1953/327680],
    [[6, 6, -8], 9/163840],
    [[5, -1, -11], 91/327680],
    [[6, 4, -10], 9/163840],
    [[2, 0, -14], 3/40960],
    [[0, -8, -8], 57/327680],
    [[8, -2, -8], -57/163840],
    [[-11, -1, -5], 3/327680],
    [[4, 4, 4], 3/20480],
    [[-9, 1, -3], 15/65536],
    [[-10, -6, 2], 59/327680],
    [[4, -6, -10], 3/32768],
    [[-2, -2, -6], 979/65536],
    [[0, -6, -8], -189/163840],
    [[1, -3, -11], 459/327680],
    [[-10, 0, -2], -57/81920],
    [[3, 9, -7], -41/327680],
    [[1, -11, 1], -57/327680],
    [[-5, 5, -9], -21/65536],
    [[-2, 8, 0], -9/163840],
    [[-2, -2, 10], 3/40960],
    [[9, -3, -1], -9/327680],
    [[1, -3, 5], 459/327680],
    [[-12, -4, -4], -63/163840],
    [[-1, 7, -1], 15/65536],
    [[-7, 3, -1], -459/327680],
    [[-1, -11, 1], -9/65536],
    [[-4, -6, 2], -579/81920],
    [[2, -6, 0], -27/10240],
    [[-6, 4, 0], 9/10240],
    [[4, -6, -4], -189/163840],
    [[3, 1, -1], -361/327680],
    [[5, 5, -7], 3/327680],
    [[-3, -5, -3], -59/10240],
    [[-10, -2, -2], 319/163840],
    [[-5, 3, 1], 33/163840],
    [[4, 2, 0], -27/10240],
    [[-2, 6, -4], 321/81920],
    [[2, -6, 4], -117/163840],
    [[-1, 9, -3], -93/327680],
    [[-7, -5, 1], 9/40960],
    [[1, -3, -7], -361/327680],
    [[-3, -5, -7], -617/327680],
    [[-6, 0, -4], 1829/163840],
    [[3, -1, -7], -241/163840],
    [[6, 6, -4], 37/40960],
    [[-7, -3, -7], -459/327680],
    [[-13, -3, -3], 3/81920],
    [[0, 0, 0], 979/65536],
    [[-8, 0, 0], -19/65536],
    [[-8, -2, -2], -181/20480],
    [[-3, -3, 9], 3/81920],
    [[-11, 1, -3], 3/327680],
    [[1, 1, 1], 541/65536],
    [[6, 2, -4], 861/163840],
    [[-2, 4, -2], 1829/163840],
    [[-2, 0, 2], -973/81920],
    [[-4, 4, 2], 9/10240],
    [[1, -5, -3], 1953/327680],
    [[2, -6, -6], 533/327680],
    [[3, -7, 1], -123/327680],
    [[-9, -7, -5], -21/163840],
    [[-6, -4, -4], 1033/163840],
    [[6, 2, -6], -629/163840],
    [[6, 6, 2], -3/65536],
    [[4, 0, 0], -323/327680],
    [[-2, -8, 0], 861/163840],
    [[2, -6, -2], -323/327680],
    [[3, -1, 3], -369/327680],
    [[-7, 1, 1], 43/32768],
    [[3, -9, -5], -27/327680],
    [[-4, -6, 0], 257/16384],
    [[1, 3, -5], 1529/327680],
    [[-1, 5, 1], -369/327680],
    [[-4, -4, -2], 3273/163840],
    [[-3, -5, -5], -361/327680],
    [[-2, 2, 0], 783/163840],
    [[4, 8, 0], 87/327680],
    [[0, 6, -4], -181/20480],
    [[2, 4, -4], -2443/163840],
];

// Primal filter m_7
m_7 = [
    [[-11, -9, -9], 9/327680],
    [[-8, 0, -10], -117/163840],
    [[1, -1, -5], -361/327680],
    [[-2, 0, 0], 3273/163840],
    [[0, -10, -8], -117/163840],
    [[-6, -6, -6], 2897/327680],
    [[-3, -1, 3], -833/163840],
    [[1, -5, 5], 207/163840],
    [[6, -6, -2], 51/81920],
    [[0, 0, 8], -47/163840],
    [[1, -9, -3], -369/327680],
    [[-2, -12, -8], -57/163840],
    [[1, 1, -3], -241/163840],
    [[-8, -2, -10], 391/163840],
    [[-8, 2, -8], -39/81920],
    [[-2, 8, -2], -3/10240],
    [[5, -3, -3], 87/163840],
    [[4, -6, -4], 15/32768],
    [[0, -10, 2], -9/81920],
    [[-6, -4, -12], -73/81920],
    [[-5, -9, -7], -117/40960],
    [[-2, 6, 0], -73/81920],
    [[-5, 1, 1], 127/81920],
    [[-3, 3, -9], 57/163840],
    [[4, -6, -2], -147/81920],
    [[4, 2, -6], -117/163840],
    [[3, -9, 3], 3/65536],
    [[-5, -5, 5], 9/65536],
    [[-4, 0, 6], 3/2048],
    [[-13, -3, -7], -9/65536],
    [[-4, -4, -10], -181/20480],
    [[-6, -6, -4], 3273/163840],
    [[-5, 1, -7], -617/327680],
    [[3, -7, 3], -21/65536],
    [[-5, 7, -3], 3/327680],
    [[-12, -2, -6], 3/2048],
    [[-5, -7, -1], -361/327680],
    [[-4, 4, -8], 57/327680],
    [[6, -4, -6], -9/163840],
    [[-5, -3, 7], 3/327680],
    [[-2, 2, -6], -323/327680],
    [[-1, 7, -3], -141/327680],
    [[-5, -3, -13], -141/327680],
    [[-8, -8, 0], 109/65536],
    [[1, -9, -11], 3/65536],
    [[1, 1, -11], -9/163840],
    [[0, 6, -2], -73/81920],
    [[1, -1, -11], -27/327680],
    [[-9, -7, -11], -1/10240],
    [[0, 0, -6], 13/16384],
    [[-3, -13, -1], 3/327680],
    [[3, 5, -5], -21/163840],
    [[-11, -1, 1], -27/327680],
    [[-15, -3, -5], 3/81920],
    [[1, -3, 1], -241/163840],
    [[-3, 1, 1], -241/163840],
    [[-1, -5, 5], 459/327680],
    [[-14, -6, -4], 3/40960],
    [[-9, 3, -5], 39/327680],
    [[-3, -1, 1], -59/10240],
    [[-6, 4, 4], 3/32768],
    [[0, -4, -6], 783/163840],
    [[-6, -8, 2], 9/10240],
    [[-11, -9, 1], 3/65536],
    [[-8, -6, -4], -2443/163840],
    [[-8, -2, 4], 57/163840],
    [[1, -7, -5], -617/327680],
    [[-3, -3, 7], -93/327680],
    [[-8, -12, -4], 209/163840],
    [[-1, -11, -5], 459/327680],
    [[-1, -9, 3], 39/327680],
    [[-9, 3, -1], 39/327680],
    [[5, -5, -1], 459/327680],
    [[-10, -10, -8], 9/163840],
    [[-6, -10, -2], -19/65536],
    [[-5, 5, 3], -21/163840],
    [[-2, -6, -4], 1061/81920],
    [[-3, -9, 1], -369/327680],
    [[-10, -4, -8], -69/16384],
    [[-9, -9, -3], -227/65536],
    [[-4, -4, -6], -785/32768],
    [[-3, -5, 3], -449/327680],
    [[1, -1, -3], -59/10240],
    [[-3, -7, -11], 259/163840],
    [[-10, -6, -8], 321/163840],
    [[-9, -7, -3], -423/327680],
    [[1, 5, -1], 39/32768],
    [[-2, 6, -4], -57/81920],
    [[4, 0, -4], -19/65536],
    [[-6, 2, -2], -323/327680],
    [[-2, -4, 6], -57/81920],
    [[-6, 4, -8], -9/81920],
    [[4, 0, 4], -321/327680],
    [[-2, -6, -14], -63/163840],
    [[-3, -1, -5], 357/20480],
    [[-4, 0, -6], 783/163840],
    [[-5, -3, 5], 15/65536],
    [[-7, -9, -1], 43/32768],
    [[-8, -6, -12], -41/163840],
    [[-7, 1, 5], -21/163840],
    [[5, 3, -7], 3/65536],
    [[2, 4, 0], 321/163840],
    [[0, -6, -2], 783/163840],
    [[-7, -5, -7], 161/20480],
    [[-6, 2, 6], 87/327680],
    [[2, -2, -4], -973/81920],
    [[-11, -7, -9], -1/10240],
    [[0, 2, -6], -27/10240],
    [[-9, 1, -5], -459/327680],
    [[-1, -7, -1], 541/65536],
    [[-1, -1, 9], 3/81920],
    [[7, -1, -5], -9/65536],
    [[4, -4, 0], -19/65536],
    [[3, -7, -7], 141/327680],
    [[4, -8, -2], 57/163840],
    [[-9, -9, -11], 9/327680],
    [[-10, 2, -10], -3/65536],
    [[-3, 5, 1], 259/163840],
    [[6, 0, 2], -41/163840],
    [[5, 1, 3], -1/10240],
    [[0, 6, 2], -41/163840],
    [[-4, -2, 4], 321/81920],
    [[3, 1, -3], -423/327680],
    [[6, 2, 0], -41/163840],
    [[4, 0, 2], 321/163840],
    [[-3, 7, -5], 3/327680],
    [[2, -4, 2], -167/32768],
    [[5, -5, 3], -21/163840],
    [[7, -5, -3], 3/327680],
    [[-5, -1, -7], -361/327680],
    [[-2, -6, -6], -2707/327680],
    [[0, -8, 4], -111/163840],
    [[-7, 3, -3], -369/327680],
    [[-8, 4, -6], -9/81920],
    [[4, 2, 4], 9/163840],
    [[-10, -8, -10], 9/163840],
    [[0, -2, 0], 3273/163840],
    [[0, 4, -6], 15/8192],
    [[-16, -4, -4], 3/40960],
    [[-6, -6, -10], -629/163840],
    [[-6, 6, -6], -27/327680],
    [[3, -7, -1], -459/327680],
    [[0, -4, 0], -2707/327680],
    [[-4, -10, -6], 861/163840],
    [[8, -4, -4], -3/32768],
    [[-9, -3, 1], -369/327680],
    [[7, 1, -1], -29/327680],
    [[-2, 2, -10], 57/327680],
    [[-1, -1, 1], 1529/327680],
    [[-14, -2, -2], -3/32768],
    [[-4, -12, -8], 209/163840],
    [[-3, -13, -3], -93/327680],
    [[-4, 0, -10], -147/81920],
    [[10, -2, -2], 3/40960],
    [[-9, -1, -11], -21/163840],
    [[-5, 3, -9], 39/327680],
    [[-1, -5, -3], 357/20480],
    [[-13, -7, -5], -29/327680],
    [[-12, 0, 0], -27/327680],
    [[-7, -9, -5], -117/40960],
    [[5, -5, -5], 9/65536],
    [[-11, 1, 1], -9/163840],
    [[-12, 0, -8], 87/327680],
    [[-6, -12, -8], -41/163840],
    [[-4, -6, -6], 3273/163840],
    [[-7, 5, 1], -21/163840],
    [[-10, 2, 2], 3/20480],
    [[-6, -8, -12], -41/163840],
    [[-10, -8, -2], 391/163840],
    [[0, -2, 8], 3/40960],
    [[-8, -2, 0], -91/32768],
    [[-3, -3, -13], -93/327680],
    [[2, 4, 4], 9/163840],
    [[-2, -4, -8], -973/81920],
    [[-4, 0, 4], -19/65536],
    [[5, -7, -7], -9/163840],
    [[-3, -7, -3], 21/10240],
    [[-7, 1, -3], -191/40960],
    [[1, -1, 5], 39/32768],
    [[0, -2, -4], 1061/81920],
    [[-7, -1, 3], -459/327680],
    [[-8, -4, -2], -973/81920],
    [[-7, 3, 3], -21/65536],
    [[-1, -3, -3], -91/40960],
    [[1, 7, 1], -41/327680],
    [[2, -10, -10], -3/65536],
    [[-9, -1, -3], -449/327680],
    [[-7, 5, 3], 3/65536],
    [[-1, -5, -11], 459/327680],
    [[2, -4, -6], -91/32768],
    [[-3, -11, -1], 15/65536],
    [[-7, 3, -5], 231/327680],
    [[3, 1, 3], 3/327680],
    [[5, 1, -3], 259/163840],
    [[-8, 4, -8], 3/20480],
    [[-3, -7, 3], -369/327680],
    [[-2, 8, -4], 3/40960],
    [[-5, -7, -3], -59/10240],
    [[-4, 0, 2], 1033/163840],
    [[-4, -10, -10], 37/40960],
    [[-4, -12, 0], 51/81920],
    [[-9, -5, -5], -213/32768],
    [[-7, -1, -7], 127/81920],
    [[-1, -1, -9], -11/81920],
    [[-1, 7, -1], -25/65536],
    [[-9, -3, -9], -227/65536],
    [[-2, -12, 0], -9/163840],
    [[2, -2, 4], -69/16384],
    [[-6, 2, -6], 533/327680],
    [[-8, 4, 0], -111/163840],
    [[0, -12, -4], 51/81920],
    [[2, -8, 0], 9/10240],
    [[-7, 1, -5], -617/327680],
    [[-2, -10, -4], 321/81920],
    [[-8, -4, -10], -69/16384],
    [[-1, -3, -11], 15/65536],
    [[2, -10, -2], 57/327680],
    [[-5, -1, 1], -361/327680],
    [[-7, -7, -9], 9/40960],
    [[-6, -8, -8], -579/81920],
    [[0, 8, -2], 3/40960],
    [[-6, -2, -8], 1033/163840],
    [[-5, -11, -3], 287/163840],
    [[-9, -7, 3], -3/327680],
    [[-4, -10, -2], 321/81920],
    [[3, -5, -9], 39/327680],
    [[4, -6, -8], -9/81920],
    [[-11, -7, -1], 207/163840],
    [[-9, -9, 3], 3/65536],
    [[-10, 0, -8], -117/163840],
    [[3, -7, -3], -369/327680],
    [[4, -4, -8], 57/327680],
    [[-5, 5, -3], 15/65536],
    [[-6, -10, 2], -111/163840],
    [[-13, -5, -3], -141/327680],
    [[-10, -10, 0], 3/32768],
    [[-5, -5, -1], 2753/327680],
    [[-11, -7, 1], -21/163840],
    [[-1, -7, 3], -459/327680],
    [[1, -1, -1], 1529/327680],
    [[-7, -9, -11], -1/10240],
    [[-2, -8, -12], -57/163840],
    [[1, 5, -7], -21/163840],
    [[-1, 1, -7], -617/327680],
    [[-5, -5, -13], -25/65536],
    [[-8, -6, 0], -27/10240],
    [[1, 3, -7], -123/327680],
    [[0, -4, 6], 3/2048],
    [[-1, -3, -9], -449/327680],
    [[-8, 0, -4], -323/327680],
    [[-5, -1, -1], 2753/327680],
    [[2, 4, -8], 3/32768],
    [[0, -4, -10], -147/81920],
    [[-2, -2, 2], -889/327680],
    [[-11, -1, -3], 15/65536],
    [[-12, 0, -6], -57/163840],
    [[0, 0, 6], 11/10240],
    [[-10, -6, 0], 15/8192],
    [[-3, -15, -5], 3/81920],
    [[0, -6, -6], 13/16384],
    [[1, -3, -9], -369/327680],
    [[-7, -11, -1], 207/163840],
    [[-5, -13, -1], -9/65536],
    [[-1, 7, 1], -29/327680],
    [[-12, -6, -2], 3/2048],
    [[7, -5, -5], -9/327680],
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    [[8, -2, 0], 3/40960],
    [[-11, -3, -5], 287/163840],
    [[-2, 0, 8], 3/40960],
    [[-6, -2, 4], -147/81920],
    [[-3, 1, -3], 21/10240],
    [[-7, 5, -5], -27/327680],
    [[-8, -10, 0], -117/163840],
    [[4, -8, -4], 57/327680],
    [[-2, -6, 6], 51/81920],
    [[3, -1, -7], -459/327680],
    [[-7, 3, -9], -3/327680],
    [[-8, -4, 4], 57/327680],
    [[-1, -5, 3], 123/163840],
    [[-1, -1, -13], -9/327680],
    [[-2, -2, 4], -181/20480],
    [[-1, -1, -7], 541/65536],
    [[-5, -1, 5], 459/327680],
    [[-8, -10, -6], 321/163840],
    [[5, 1, -7], -21/163840],
    [[1, -9, -1], 231/327680],
    [[3, 3, -9], 3/65536],
    [[-10, -4, 0], -147/81920],
    [[-4, -6, -10], 861/163840],
    [[2, -8, 4], 3/32768],
    [[-10, -4, -2], 321/81920],
    [[-10, -8, -4], -69/16384],
    [[-1, -13, -7], -57/327680],
    [[-2, 2, -4], -973/81920],
    [[-5, -9, -1], 123/163840],
    [[-7, 3, 5], 3/65536],
    [[0, -8, -2], -91/32768],
    [[2, 0, 6], -41/163840],
    [[-8, -10, -8], -77/163840],
    [[-7, -7, -3], -241/163840],
    [[-5, -1, -13], -9/65536],
    [[2, -6, -2], -323/327680],
    [[-2, 0, -8], -91/32768],
    [[-5, 3, -3], -449/327680],
    [[-7, -9, -3], -423/327680],
    [[-6, -2, -14], -63/163840],
    [[-1, -1, 5], 199/163840],
    [[-5, 7, -1], -9/65536],
    [[3, 1, 5], -1/10240],
    [[-4, 6, -4], 3/10240],
    [[-6, -12, -2], 3/2048],
    [[3, -5, -3], -449/327680],
    [[3, -5, -5], -11/81920],
    [[4, 4, 0], -321/327680],
    [[5, -5, 1], 207/163840],
    [[-4, -8, -12], 209/163840],
    [[-2, 0, -12], -9/163840],
    [[-9, -5, -7], -117/40960],
    [[7, -1, 1], -29/327680],
    [[3, 3, -7], -21/65536],
    [[7, -5, -1], -9/65536],
    [[-9, -3, -7], -423/327680],
    [[2, 6, 0], -41/163840],
    [[2, -2, 6], 209/163840],
    [[-13, -1, -1], -9/327680],
    [[0, 4, 4], -321/327680],
    [[0, -12, -2], -9/163840],
    [[3, -3, -1], -833/163840],
    [[2, 2, 2], 1351/327680],
    [[1, 3, 1], 9/40960],
    [[-7, 1, -7], 33/163840],
    [[0, -2, -6], 783/163840],
    [[-2, -10, -2], -1231/327680],
    [[-1, -7, -11], 207/163840],
    [[-9, -11, -1], -21/163840],
    [[0, 4, 2], 321/163840],
    [[5, -1, -3], 287/163840],
    [[4, 0, -2], 861/163840],
    [[-6, -8, -2], 1033/163840],
    [[-6, 0, -12], -57/163840],
    [[-7, -11, -5], 39/32768],
    [[-4, -2, -6], 1061/81920],
    [[-6, -2, -6], -2707/327680],
    [[6, -4, 0], 3/2048],
    [[-3, -1, -7], 1953/327680],
    [[5, 1, -5], 207/163840],
    [[-4, -10, -4], -181/20480],
    [[-4, -2, 2], -973/81920],
    [[-1, -1, -5], 2753/327680],
    [[-5, -7, -9], -117/40960],
    [[-4, -8, -4], -889/327680],
    [[3, -7, 1], -123/327680],
    [[-5, 3, -7], 231/327680],
    [[1, -3, -5], 1953/327680],
    [[-7, -1, -9], 43/32768],
    [[-13, -5, -5], -25/65536],
    [[-10, -10, 2], -3/65536],
    [[-4, -6, -4], -785/32768],
    [[0, -10, -4], -147/81920],
    [[-6, 2, -4], -91/32768],
    [[-7, -5, 1], -617/327680],
    [[-9, -7, -1], 43/32768],
    [[-9, 1, -1], 231/327680],
    [[1, -7, 3], -123/327680],
    [[-1, 1, -5], -361/327680],
    [[-5, -5, -15], 3/81920],
    [[-6, -14, -4], 3/40960],
    [[-10, -2, -10], -391/327680],
    [[2, -2, -8], -189/163840],
    [[-4, -8, -6], -2443/163840],
    [[-1, -5, 7], -9/65536],
    [[-1, -3, -7], 1953/327680],
    [[-6, -6, -8], 257/16384],
    [[-3, -9, -9], -227/65536],
    [[-3, 9, -1], 3/81920],
    [[-6, -8, -10], 321/163840],
    [[0, -8, -8], 109/65536],
    [[-7, -7, -11], 37/40960],
    [[-3, -5, 7], 3/327680],
    [[-5, -11, -9], 107/327680],
    [[-11, -9, -1], -21/163840],
    [[-5, -9, 1], -459/327680],
    [[4, 4, 4], -9/327680],
    [[-9, 1, -3], -369/327680],
    [[-10, -6, 2], -111/163840],
    [[2, 6, 2], 59/327680],
    [[-2, -2, -6], 979/65536],
    [[0, -6, -8], -27/10240],
    [[1, -3, -11], 3/20480],
    [[-10, 0, -2], 15/32768],
    [[-3, -9, -7], -423/327680],
    [[-1, -7, -7], 127/81920],
    [[-12, -6, -4], -73/81920],
    [[9, -3, -1], 3/81920],
    [[1, -3, 5], 259/163840],
    [[-12, -4, -4], 319/163840],
    [[-11, -5, -7], 39/32768],
    [[-3, 1, 7], -9/65536],
    [[7, -3, -1], -141/327680],
    [[1, 5, -3], 259/163840],
    [[-4, -6, 2], -91/32768],
    [[2, -6, 0], -27/10240],
    [[-6, 4, 0], 15/8192],
    [[-4, -2, 0], 1061/81920],
    [[3, 1, -1], -117/40960],
    [[-5, -5, -7], 1529/327680],
    [[3, -3, -9], 57/163840],
    [[-2, -2, 10], 3/40960],
    [[-10, -2, -2], -1231/327680],
    [[5, -3, 1], 259/163840],
    [[4, 2, 0], 321/163840],
    [[2, -6, -4], -91/32768],
    [[2, -6, 4], -117/163840],
    [[-3, -5, -13], -141/327680],
    [[-1, 9, -3], 3/81920],
    [[-9, 3, 3], 3/65536],
    [[1, -3, -7], -191/40960],
    [[-3, 3, 1], -423/327680],
    [[-6, -4, 4], 15/32768],
    [[-7, 3, -1], -459/327680],
    [[0, 2, 6], -41/163840],
    [[-13, -3, -3], -93/327680],
    [[0, 0, 0], 2897/327680],
    [[-9, 1, -11], 3/65536],
    [[-8, -2, -2], 1829/163840],
    [[-3, -3, 9], 3/81920],
    [[-11, 1, -3], 3/20480],
    [[1, 1, 1], 1697/163840],
    [[-2, 2, 4], -69/16384],
    [[3, -3, 3], -227/65536],
    [[2, 0, -2], -2443/163840],
    [[-4, 4, 2], 391/163840],
    [[1, -5, -3], 1953/327680],
    [[2, -6, -6], 533/327680],
    [[6, -6, 0], -57/163840],
    [[-8, -4, -4], -889/327680],
    [[-6, -4, -4], -785/32768],
    [[6, 2, -6], 87/327680],
    [[-6, -6, 2], 533/327680],
    [[4, -8, -8], 3/20480],
    [[2, -8, -4], -189/163840],
    [[-2, 6, -2], 319/163840],
    [[2, 2, 6], 59/327680],
    [[-4, -6, -14], 3/40960],
    [[-2, 10, -2], 3/40960],
    [[-4, -6, 0], 783/163840],
    [[1, 3, -5], 43/32768],
    [[-4, -4, -2], -173/40960],
    [[-3, -5, -5], -3461/327680],
    [[2, -2, 0], -2443/163840],
    [[-5, 3, 1], 43/32768],
    [[0, 6, -4], 3/2048],
    [[2, 4, -4], 391/163840],
];

// Dual filter m_0
m_0 = [
    [[1, -1, -3], -1/512],
    [[1, -1, 3], -1/512],
    [[-3, -1, -1], -1/512],
    [[0, -4, 0], -1/256],
    [[1, -1, -1], 7/512],
    [[3, -1, 1], -1/512],
    [[1, 3, 1], -1/512],
    [[1, -3, 1], -1/512],
    [[1, 3, -1], -1/512],
    [[-1, -3, -1], -1/512],
    [[2, -2, 0], -1/256],
    [[-1, 3, 1], -1/512],
    [[2, 2, -2], 1/512],
    [[-1, 1, -1], 7/512],
    [[-2, 2, -2], 1/512],
    [[2, -2, -2], 1/512],
    [[2, 2, 0], -1/256],
    [[-1, -1, -3], -1/512],
    [[1, 1, 1], 7/512],
    [[1, -3, -1], -1/512],
    [[0, 2, 0], 1/64],
    [[1, 1, -1], 7/512],
    [[4, 0, 0], -1/256],
    [[-1, 1, -3], -1/512],
    [[2, 2, 2], 1/512],
    [[0, -2, -2], -1/256],
    [[0, 0, -2], 1/64],
    [[0, 0, 4], -1/256],
    [[-2, 0, 0], 1/64],
    [[2, 0, 0], 1/64],
    [[0, 0, -4], -1/256],
    [[-2, 0, -2], -1/256],
    [[3, 1, 1], -1/512],
    [[0, 0, 2], 1/64],
    [[2, -2, 2], 1/512],
    [[2, 0, -2], -1/256],
    [[2, 0, 2], -1/256],
    [[-4, 0, 0], -1/256],
    [[0, 0, 0], 3/128],
    [[1, 1, -3], -1/512],
    [[-3, 1, 1], -1/512],
    [[3, 1, -1], -1/512],
    [[-1, 1, 3], -1/512],
    [[-1, -1, 3], -1/512],
    [[0, 4, 0], -1/256],
    [[-2, 2, 2], 1/512],
    [[-2, 0, 2], -1/256],
    [[0, 2, 2], -1/256],
    [[-2, -2, 2], 1/512],
    [[0, 2, -2], -1/256],
    [[-1, 3, -1], -1/512],
    [[-1, 1, 1], 7/512],
    [[1, 1, 3], -1/512],
    [[-3, 1, -1], -1/512],
    [[0, -2, 2], -1/256],
    [[-2, -2, 0], -1/256],
    [[-2, -2, -2], 1/512],
    [[-1, -1, 1], 7/512],
    [[3, -1, -1], -1/512],
    [[1, -1, 1], 7/512],
    [[-1, -3, 1], -1/512],
    [[-3, -1, 1], -1/512],
    [[-2, 2, 0], -1/256],
    [[-1, -1, -1], 7/512],
    [[0, -2, 0], 1/64],
];

// Dual filter m_1
m_1 = [
    [[-6, -8, 4], 3/655360],
    [[-7, -3, -5], -65/131072],
    [[7, 1, 3], 29/1310720],
    [[0, 0, 8], -39/655360],
    [[1, 1, -3], 1581/262144],
    [[2, 2, -10], 69/327680],
    [[-2, 4, -2], -141/40960],
    [[-4, -6, -6], -213/163840],
    [[-6, -6, -4], -853/655360],
    [[6, -10, -2], 13/65536],
    [[-5, -5, 1], 2707/1310720],
    [[-11, -5, 1], -29/1310720],
    [[4, -4, -4], -2013/655360],
    [[7, -7, -5], 29/1310720],
    [[6, 4, -4], 111/327680],
    [[-8, -8, 0], -7/40960],
    [[0, 6, -2], -3/40960],
    [[3, -3, 3], -1877/655360],
    [[1, -3, 1], 1581/262144],
    [[8, 4, 2], 3/655360],
    [[5, -1, -1], 375/262144],
    [[10, -6, -4], -29/655360],
    [[-8, -2, 4], 107/655360],
    [[11, 1, -5], -29/1310720],
    [[-6, -10, -2], 13/65536],
    [[3, 5, 3], 79/1310720],
    [[1, -1, -3], -619/327680],
    [[-9, -7, -3], 39/655360],
    [[-6, -6, 6], 17/655360],
    [[6, 4, 4], 3/655360],
    [[2, -10, 2], 69/327680],
    [[2, 2, 4], -25/32768],
    [[-5, -7, 1], 33/1310720],
    [[7, 5, -7], 3/1310720],
    [[-3, 1, -7], -417/1310720],
    [[-3, 5, 3], 79/1310720],
    [[7, 3, 3], -21/1310720],
    [[5, 1, 3], 33/1310720],
    [[3, 1, -3], -1143/1310720],
    [[-4, -8, 2], 111/327680],
    [[-10, -4, -4], 61/327680],
    [[-7, 5, -3], 79/1310720],
    [[-6, -6, -10], 17/655360],
    [[7, 1, -1], -65/131072],
    [[0, -2, -12], -1/65536],
    [[4, -4, 8], -51/1310720],
    [[-1, 5, 3], 63/1310720],
    [[6, 6, 0], -7/163840],
    [[4, -2, 6], -9/163840],
    [[13, -3, -3], 3/655360],
    [[3, -11, -5], -33/1310720],
    [[2, 0, -8], 923/655360],
    [[5, -7, -7], 3/131072],
    [[7, -3, 3], -803/1310720],
    [[0, -8, -4], -2061/655360],
    [[-1, 3, -3], -445/131072],
    [[7, -3, -5], -65/131072],
    [[-4, -12, 0], -51/1310720],
    [[-9, -5, -5], 103/655360],
    [[-7, -1, -7], -803/1310720],
    [[6, 6, 2], 17/655360],
    [[2, 4, -4], 923/655360],
    [[-7, -7, -9], 3/1310720],
    [[8, -8, -2], 107/655360],
    [[6, -8, 2], -1/16384],
    [[5, -5, -3], 67/40960],
    [[-1, -13, -3], -1/262144],
    [[1, -7, 5], 63/1310720],
    [[5, -1, -9], 27/131072],
    [[-2, 0, -8], 923/655360],
    [[1, -13, -1], -1/262144],
    [[0, 0, 6], 83/327680],
    [[0, -6, 2], -1267/327680],
    [[1, -1, 9], -1/262144],
    [[-5, -3, -1], 375/262144],
    [[-1, 7, 1], -49/1310720],
    [[-2, -2, 8], 1/32768],
    [[4, -2, 8], -1/131072],
    [[3, -9, -3], 173/327680],
    [[-10, -2, -4], -41/327680],
    [[-9, -3, 3], 39/655360],
    [[5, -11, -5], -7/327680],
    [[8, 0, -2], 623/655360],
    [[1, -9, -5], 191/655360],
    [[-10, 0, -4], 61/327680],
    [[1, -9, 3], 63/1310720],
    [[-8, -8, -8], -3/1310720],
    [[-5, -5, -3], 67/40960],
    [[10, 0, -2], -41/327680],
    [[10, 0, 2], -29/655360],
    [[4, 2, 2], -213/163840],
    [[-4, -4, -4], -2013/655360],
    [[6, -4, -4], 407/131072],
    [[-2, -2, -2], 39471/327680],
    [[-8, 2, -6], -41/655360],
    [[9, -3, -5], 287/1310720],
    [[-3, -5, -3], -1143/1310720],
    [[-5, -5, 7], -7/327680],
    [[-7, -5, -9], -5/262144],
    [[-6, -8, -4], 111/327680],
    [[-2, 0, 6], -13/163840],
    [[12, -2, -4], 3/327680],
    [[-1, -5, 3], -1419/1310720],
    [[3, -5, -7], -417/1310720],
    [[-6, 4, -4], 111/327680],
    [[10, -2, 0], -41/327680],
    [[-1, 1, 7], -49/1310720],
    [[4, 2, -2], -13/2560],
    [[-3, -9, -1], 173/327680],
    [[4, -4, 6], 107/655360],
    [[10, 0, -6], -29/655360],
    [[-1, 1, -1], 1581/262144],
    [[-5, -11, 1], -7/327680],
    [[-9, -5, -3], 287/1310720],
    [[1, -11, -3], -7/655360],
    [[-6, 4, 4], 3/655360],
    [[5, -9, 1], 199/1310720],
    [[-2, 2, -6], 1579/655360],
    [[-8, -2, -4], 623/655360],
    [[-2, -4, -8], 923/655360],
    [[4, 0, 4], -253/262144],
    [[8, -4, 2], 113/327680],
    [[-2, -4, 6], -13/163840],
    [[2, -4, 4], 923/655360],
    [[2, -4, -2], -1681/81920],
    [[-8, -4, 0], -981/1310720],
    [[7, -7, 1], 29/1310720],
    [[0, 2, -2], -1883/163840],
    [[-1, -1, 7], -7/655360],
    [[10, -2, -4], -41/327680],
    [[-9, -1, -5], 287/1310720],
    [[-7, -7, -7], -21/1310720],
    [[9, 3, 1], -13/655360],
    [[-6, -4, -6], -853/655360],
    [[-12, 0, -2], 3/327680],
    [[5, 1, -9], 199/1310720],
    [[0, -2, -2], -23131/81920],
    [[-10, -4, 2], -29/655360],
    [[-3, -3, -11], 7/1310720],
    [[4, -10, -6], -7/163840],
    [[9, 3, -3], 39/655360],
    [[-2, -10, -6], 69/327680],
    [[-8, -4, -4], -981/1310720],
    [[-1, -3, -5], 1581/262144],
    [[-2, -6, 4], -25/32768],
    [[5, -1, -7], -401/1310720],
    [[8, 2, -2], -243/327680],
    [[-13, -3, -1], 3/655360],
    [[-5, -7, -5], 33/1310720],
    [[-1, -1, -11], -7/655360],
    [[-7, 1, -3], -65/131072],
    [[6, -8, -8], 3/655360],
    [[-2, 0, -4], 10813/655360],
    [[2, 0, 8], -1/131072],
    [[-2, -4, -12], -1/131072],
    [[7, 5, -1], 79/1310720],
    [[-4, -2, 6], -9/163840],
    [[6, 2, -2], 147/163840],
    [[-1, -9, -3], 799/1310720],
    [[-8, -6, 2], -41/655360],
    [[0, -4, 4], -2061/655360],
    [[-6, -8, 2], -1/16384],
    [[5, -3, 3], -401/1310720],
    [[11, -1, 1], -23/1310720],
    [[7, 1, -5], 1/32768],
    [[7, -1, -1], -1937/1310720],
    [[-5, 1, 5], 199/1310720],
    [[-7, -5, -7], 29/1310720],
    [[-4, 0, 0], -2013/655360],
    [[-3, -5, -9], 127/655360],
    [[4, 8, 0], -51/1310720],
    [[0, -10, -4], 83/327680],
    [[-2, 2, -4], -2289/327680],
    [[-5, 5, -5], 199/1310720],
    [[-2, -12, -4], -1/131072],
    [[-2, -8, -8], 107/655360],
    [[6, -6, 0], -853/655360],
    [[1, -5, -7], -1419/1310720],
    [[3, -1, 3], -1877/655360],
    [[-3, -3, -3], -5729/655360],
    [[3, -3, -13], -1/262144],
    [[-11, -3, -1], -71/1310720],
    [[3, 3, 5], 79/1310720],
    [[-5, 1, -3], 67/40960],
    [[3, -3, -3], -5729/655360],
    [[-2, -12, 0], -1/131072],
    [[-2, 2, 2], 1579/655360],
    [[-3, -7, 5], 79/1310720],
    [[4, -8, -2], 859/655360],
    [[0, -4, -10], 83/327680],
    [[9, -5, -5], 103/655360],
    [[-8, -6, -8], 3/655360],
    [[5, 1, -1], 67/40960],
    [[11, -3, -3], -71/1310720],
    [[0, 6, -6], -11/163840],
    [[-4, -2, -12], -1/131072],
    [[3, -13, -3], -1/262144],
    [[-10, -6, -4], -29/655360],
    [[1, 3, 3], -73/131072],
    [[7, 3, -3], -803/1310720],
    [[6, 2, 0], -853/655360],
    [[-6, -10, -6], 17/655360],
    [[1, -1, -7], -445/131072],
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    [[2, -8, -4], 923/655360],
    [[6, -2, 6], 13/65536],
    [[-10, -2, -2], 15/32768],
    [[0, 2, -6], -1267/327680],
    [[-9, 1, -5], 103/655360],
    [[-6, 0, -6], -853/655360],
    [[9, -7, -7], 3/1310720],
    [[-4, 4, 0], -253/262144],
    [[3, -7, -7], -401/655360],
    [[6, 0, 2], -853/655360],
    [[-2, 4, -6], -25/32768],
    [[9, 1, -1], 287/1310720],
    [[1, -11, -5], -49/1310720],
    [[0, -8, 4], -39/131072],
    [[7, -3, -3], -1937/1310720],
    [[-2, -2, -4], -1681/81920],
    [[2, -2, -12], 1/32768],
    [[-4, 4, -8], -111/655360],
    [[-3, -13, -3], -1/262144],
    [[-4, 0, -10], 107/655360],
    [[-3, 3, -1], -1877/655360],
    [[-11, -3, -3], -71/1310720],
    [[2, 0, -10], -13/163840],
    [[-1, -5, 1], 1111/131072],
    [[0, -2, 8], -1/65536],
    [[-8, 2, -4], 113/327680],
    [[2, 4, 4], 107/655360],
    [[-7, -1, 3], -803/1310720],
    [[1, 7, 1], -49/1310720],
    [[-9, -1, -3], 381/1310720],
    [[7, -5, 3], 29/1310720],
    [[9, -5, -1], 287/1310720],
    [[3, 1, 3], -417/1310720],
    [[5, 1, -3], 67/40960],
    [[-3, -3, -5], -1143/1310720],
    [[0, -12, -4], -39/655360],
    [[6, 6, -4], -7/163840],
    [[3, -5, 7], -33/1310720],
    [[-2, -10, -4], -13/163840],
    [[-1, -3, -11], -7/655360],
    [[-2, 10, -2], -1/131072],
    [[-5, -1, 1], 67/40960],
    [[6, -8, 4], 3/655360],
    [[0, 8, -2], -1/65536],
    [[-9, -7, 3], 3/1310720],
    [[-4, -10, -2], -9/163840],
    [[3, -5, -9], 127/655360],
    [[1, -1, 1], 1581/262144],
    [[-6, -10, 2], 17/655360],
    [[1, -1, -1], -619/327680],
    [[1, 3, -7], -73/131072],
    [[-5, -1, -1], 375/262144],
    [[-10, -6, 0], -29/655360],
    [[-7, 1, -7], 29/1310720],
    [[13, -1, -3], 3/655360],
    [[0, -6, -6], -1267/327680],
    [[9, -3, -3], 381/1310720],
    [[-1, -9, -5], 191/655360],
    [[6, -10, 2], 17/655360],
    [[5, -3, -1], 375/262144],
    [[6, -8, -4], 111/327680],
    [[9, -5, 1], 103/655360],
    [[1, 7, -1], -7/655360],
    [[-7, 3, -9], 3/1310720],
    [[5, -11, 1], -7/327680],
    [[1, 1, 3], -1419/1310720],
    [[7, -7, 5], 3/1310720],
    [[8, -6, -8], 3/655360],
    [[-1, -5, -1], 1581/262144],
    [[-11, 1, -1], -23/1310720],
    [[-3, -5, -7], -417/1310720],
    [[7, -9, -7], 3/1310720],
    [[0, -10, -6], -11/163840],
    [[3, -1, -5], -1143/1310720],
    [[1, -5, 3], -1419/1310720],
    [[-6, 6, -4], -7/163840],
    [[2, -12, -4], -1/131072],
    [[9, 1, 1], 103/655360],
    [[4, 8, -4], -51/1310720],
    [[3, -3, -11], 7/1310720],
    [[5, 3, -9], -5/262144],
    [[-12, -2, -4], 3/327680],
    [[3, -7, -9], 79/1310720],
    [[0, -6, 6], -11/163840],
    [[1, 1, -9], 191/655360],
    [[11, -1, -3], -71/1310720],
    [[8, -2, 4], 107/655360],
    [[4, -6, 4], 111/327680],
    [[0, 4, 0], -2061/655360],
    [[-8, -6, -2], -243/327680],
    [[-11, -1, -5], -23/1310720],
    [[4, -6, 6], -7/163840],
    [[-7, 3, 5], 3/1310720],
    [[-5, 3, -1], -401/1310720],
    [[-2, -12, -2], 1/32768],
    [[-6, -2, 6], 13/65536],
    [[1, -13, -3], -1/262144],
    [[7, 3, -5], 29/1310720],
    [[5, 5, -5], 199/1310720],
    [[8, -4, -6], 113/327680],
    [[5, 7, 1], -7/327680],
    [[3, -5, 3], -417/1310720],
    [[-7, -9, 3], 3/1310720],
    [[-2, -6, -8], -25/32768],
    [[-1, -3, 3], -445/131072],
    [[6, -4, 6], -7/163840],
    [[-1, -5, 7], -49/1310720],
    [[12, 0, -2], 3/327680],
    [[-7, -9, -7], 3/1310720],
    [[-7, 1, 1], 1/32768],
    [[-3, 5, -7], 79/1310720],
    [[-10, 2, 0], -29/655360],
    [[3, -5, -3], -1143/1310720],
    [[-1, -1, -3], -619/327680],
    [[8, 4, -6], 3/655360],
    [[-4, 2, 0], 1143/327680],
    [[-1, -3, 9], -1/262144],
    [[0, 2, 2], -1267/327680],
    [[1, 3, -9], 63/1310720],
    [[-8, 4, 4], -3/1310720],
    [[6, -2, 2], 147/163840],
    [[-1, -13, -1], -1/262144],
    [[-1, -5, -9], 191/655360],
    [[-2, -4, 0], 10813/655360],
    [[-6, -2, -2], 87/40960],
    [[4, 0, -8], -253/262144],
    [[4, -8, -6], 111/327680],
    [[2, -2, 2], 305/131072],
    [[5, -9, -5], 199/1310720],
    [[-8, -2, -8], 107/655360],
    [[2, 4, -2], -141/40960],
    [[8, 2, 0], 113/327680],
    [[9, -3, -1], 381/1310720],
    [[10, -4, -6], -29/655360],
    [[-3, -9, -3], 173/327680],
    [[7, 1, -3], -65/131072],
    [[4, -4, 4], -253/262144],
    [[-3, 7, -1], 7/1310720],
    [[2, -6, -8], -25/32768],
    [[-4, 2, 6], -7/163840],
    [[-8, 0, -6], 113/327680],
    [[9, 1, -5], 103/655360],
    [[-2, -8, -6], -25/32768],
    [[-6, 0, 2], -853/655360],
    [[5, -3, -7], -401/1310720],
    [[7, 3, 5], 3/1310720],
    [[0, 2, 6], -11/163840],
    [[-3, -1, -11], 7/1310720],
    [[7, -9, 3], 3/1310720],
    [[-3, 3, -5], -417/1310720],
    [[-5, 7, 1], -7/327680],
    [[-5, 1, -11], -7/327680],
    [[8, -6, 0], 113/327680],
    [[7, -7, -9], 3/1310720],
    [[-4, -4, 2], 1143/327680],
    [[1, -3, 5], 799/1310720],
    [[-8, -2, -6], -243/327680],
    [[2, -6, -2], 305/131072],
    [[-4, -6, -4], 1143/327680],
    [[4, 4, 0], -253/262144],
    [[-4, 6, 2], -7/163840],
    [[2, 10, -2], -1/131072],
    [[-7, -3, 1], -65/131072],
    [[6, -10, -6], 17/655360],
    [[5, -1, 3], -401/1310720],
    [[-2, -6, -2], 305/131072],
    [[6, 2, -6], 1047/1310720],
    [[-3, 3, 1], -417/1310720],
    [[-1, 3, -9], 63/1310720],
    [[-10, -2, 0], -41/327680],
    [[-13, -3, -3], 3/655360],
    [[5, 1, -5], 2707/1310720],
    [[-1, 3, -7], -73/131072],
    [[-2, -2, -12], 1/32768],
    [[-9, -7, -7], 3/1310720],
    [[-4, 2, -2], -13/2560],
    [[1, 3, -1], -445/131072],
    [[-5, -1, -11], -33/1310720],
    [[-2, -6, -10], 69/327680],
    [[-3, -1, 5], 173/327680],
    [[4, 0, -4], -2013/655360],
    [[1, 5, 3], 63/1310720],
    [[-7, -5, -3], -65/131072],
    [[6, 4, -8], 3/655360],
    [[6, -6, -4], -853/655360],
    [[4, 0, 0], -2013/655360],
    [[3, 3, 1], -417/1310720],
    [[2, -2, -8], -141/40960],
    [[5, -5, 7], -7/327680],
    [[9, 3, -1], 39/655360],
    [[-1, -9, -1], 799/1310720],
    [[11, -5, -1], -23/1310720],
    [[5, 1, 7], -7/327680],
    [[1, 7, -5], -49/1310720],
    [[-2, -8, 4], 107/655360],
    [[-7, -1, 1], -65/131072],
    [[9, -7, -3], 39/655360],
    [[-4, -12, -4], -51/1310720],
    [[4, 6, -4], 107/655360],
    [[-1, -5, -7], -1419/1310720],
    [[-6, -8, 0], 111/327680],
    [[-7, -5, 1], 1/32768],
    [[0, -8, 0], -2061/655360],
    [[-7, 3, -7], -21/1310720],
    [[3, -1, -1], -5729/655360],
    [[2, 0, -12], -1/131072],
    [[-3, -1, -1], -5729/655360],
    [[-1, 5, -5], 191/655360],
    [[4, -4, -12], -51/1310720],
    [[9, -7, 3], 3/1310720],
    [[-7, -1, -3], -1937/1310720],
    [[0, -4, 0], 2531/655360],
    [[-9, 3, -3], 39/655360],
    [[-6, 2, -10], 17/655360],
    [[2, -8, 4], 107/655360],
    [[2, -4, 6], -13/163840],
    [[5, -3, 5], 27/131072],
    [[-10, -2, 2], 71/327680],
    [[-1, 9, -1], -1/262144],
    [[-5, 5, -7], -5/262144],
    [[-3, 1, 3], -417/1310720],
    [[7, -5, -7], 29/1310720],
    [[-7, -5, 3], 29/1310720],
    [[1, -7, 1], -1419/1310720],
    [[3, 5, -7], 79/1310720],
    [[2, -10, -6], 69/327680],
    [[8, -2, -8], 107/655360],
    [[7, 3, -1], -803/1310720],
    [[3, -5, -1], -1143/1310720],
    [[-1, -7, -5], -1419/1310720],
    [[11, 1, 1], -29/1310720],
    [[-12, -4, -2], 3/327680],
    [[5, -3, -3], 375/262144],
    [[2, -6, -6], 1579/655360],
    [[10, -6, 0], -29/655360],
    [[-4, 0, -2], 2811/327680],
    [[-2, 0, 0], 10813/655360],
    [[-6, -4, -8], 111/327680],
    [[0, 6, 2], -11/163840],
    [[-8, -8, -4], -7/40960],
    [[-10, 0, -2], -41/327680],
    [[4, -2, -6], -13/2560],
    [[-4, 0, -8], -253/262144],
    [[0, 6, -4], 83/327680],
    [[2, 2, -6], 1579/655360],
    [[4, 6, -6], -7/163840],
    [[1, 1, 7], -49/1310720],
    [[4, -6, 2], -213/163840],
    [[0, 0, -12], -39/655360],
    [[8, -6, -4], 113/327680],
    [[-9, -7, -5], -13/655360],
    [[5, 5, 3], -5/262144],
    [[-3, 3, 5], 79/1310720],
    [[3, -11, -1], 7/1310720],
    [[7, -9, -3], 79/1310720],
    [[-3, -1, 9], -1/262144],
    [[6, -6, -8], -1/16384],
    [[-8, -4, -6], 113/327680],
    [[-2, -8, -4], 923/655360],
    [[8, 2, -8], 3/655360],
    [[9, -3, -7], 39/655360],
    [[-10, 2, -6], 7/262144],
    [[2, -2, -6], 305/131072],
    [[-1, 1, 3], -1419/1310720],
    [[5, 3, -7], 3/131072],
    [[-3, -9, 3], 79/1310720],
    [[10, -4, 2], -29/655360],
    [[-2, 0, -10], -13/163840],
    [[-3, 5, -3], 173/327680],
    [[8, 2, -4], 113/327680],
    [[0, -4, -4], 2531/655360],
    [[3, 5, -5], 127/655360],
    [[2, -2, -2], 39471/327680],
    [[0, -4, -8], -2061/655360],
    [[4, -8, -8], -111/655360],
    [[2, 0, -4], 10813/655360],
    [[4, 6, -2], -9/163840],
    [[-3, -5, -1], -1143/1310720],
    [[6, 2, 2], 1047/1310720],
    [[-7, 3, -1], -803/1310720],
    [[-2, -4, -4], 10813/655360],
    [[1, -7, -3], -445/131072],
    [[0, -2, 6], -3/40960],
    [[-7, -3, -9], 79/1310720],
    [[8, -4, -2], 623/655360],
    [[-1, -1, 3], -445/131072],
    [[3, 7, -5], -33/1310720],
    [[4, -8, -4], -253/262144],
    [[5, -11, -1], -33/1310720],
    [[1, -9, -1], 799/1310720],
    [[-3, -3, -9], 173/327680],
    [[-8, -4, 2], 113/327680],
    [[-9, -3, -5], 287/1310720],
    [[-5, -9, -1], 27/131072],
    [[-1, 3, 1], -1419/1310720],
    [[-7, -9, -3], 79/1310720],
    [[-3, -7, 1], -417/1310720],
    [[-8, -8, -6], 3/655360],
    [[-5, -3, -7], -401/1310720],
    [[-2, 0, -12], -1/131072],
    [[8, 4, -2], 107/655360],
    [[-3, -1, -7], -1877/655360],
    [[-7, -3, 5], 79/1310720],
    [[0, -2, -6], -1883/163840],
    [[-4, -2, -6], -13/2560],
    [[-6, -2, -6], 147/163840],
    [[6, 4, -2], -121/163840],
    [[4, -6, -2], -13/2560],
    [[-4, 0, 4], -253/262144],
    [[-5, 3, -7], 3/131072],
    [[11, -5, -5], -29/1310720],
    [[5, -7, -3], -401/1310720],
    [[-2, 2, -8], -25/32768],
    [[0, 4, -8], -39/131072],
    [[-7, -1, 5], 79/1310720],
    [[5, -7, 5], -5/262144],
    [[8, 2, 4], 3/655360],
    [[6, 2, 6], 17/655360],
    [[-2, -6, 2], 1579/655360],
    [[1, -3, -11], -7/655360],
    [[10, -4, -2], -41/327680],
    [[-3, -9, -7], 79/1310720],
    [[1, -11, 1], -49/1310720],
    [[-5, -1, 5], 27/131072],
    [[-12, -2, 0], 3/327680],
    [[-2, 6, 0], -13/163840],
    [[-6, 4, 0], 111/327680],
    [[-4, -6, 0], 1143/327680],
    [[9, -3, 3], 39/655360],
    [[3, -3, 1], -1143/1310720],
    [[7, -3, -1], -1937/1310720],
    [[-4, -4, -2], 2811/327680],
    [[2, -4, 2], -2289/327680],
    [[6, -6, 4], -1/16384],
    [[1, -5, -3], 1581/262144],
    [[-2, -4, -6], -2289/327680],
    [[-3, -13, -1], -1/262144],
    [[-3, -5, 7], -33/1310720],
    [[-1, 5, -1], 799/1310720],
    [[8, -6, 4], 3/655360],
];

// Dual filter m_2
m_2 = [
    [[-7, -3, -5], -417/1310720],
    [[-7, 7, -5], 29/1310720],
    [[0, 0, 8], -39/655360],
    [[1, 1, -3], 1581/262144],
    [[-2, -2, -10], 63/65536],
    [[2, -8, -2], -243/327680],
    [[-5, -7, -7], 29/1310720],
    [[4, 2, -6], -25/32768],
    [[6, 6, -4], -7/163840],
    [[-6, 10, -2], 71/327680],
    [[-5, -5, 1], 2707/1310720],
    [[-11, -5, 1], -7/327680],
    [[-4, 4, -4], -2013/655360],
    [[-6, -8, -4], 113/327680],
    [[-8, -8, 0], -7/40960],
    [[0, 6, -2], -231/65536],
    [[3, -3, 3], -401/655360],
    [[1, -3, 1], 583/655360],
    [[5, -1, -1], 799/1310720],
    [[1, 3, 7], -33/1310720],
    [[-10, 6, -4], -7/163840],
    [[-8, -2, 4], 107/655360],
    [[-6, -10, -2], 71/327680],
    [[3, 5, 3], 3/131072],
    [[1, -1, -3], 1581/262144],
    [[-9, -7, -3], 79/1310720],
    [[0, 8, 2], 113/327680],
    [[6, -2, -2], 63/65536],
    [[-6, 4, -8], 111/327680],
    [[2, -10, 2], 7/262144],
    [[-1, 3, -13], -1/262144],
    [[-5, -7, 1], 1/32768],
    [[-7, -5, -7], 3/131072],
    [[3, 3, 5], 79/1310720],
    [[-3, 5, 3], -401/1310720],
    [[5, 1, 3], 63/1310720],
    [[3, 1, -3], -445/131072],
    [[-4, -8, 2], 113/327680],
    [[-7, 5, -3], -401/1310720],
    [[-2, 12, -2], -3/81920],
    [[-6, -6, -10], 17/655360],
    [[-4, 2, 4], 923/655360],
    [[7, 1, -1], -7/655360],
    [[0, -2, -12], -1/131072],
    [[-4, 4, 8], -51/1310720],
    [[-1, 5, 3], -401/1310720],
    [[-4, -6, -6], -853/655360],
    [[-13, 3, -3], -1/262144],
    [[-3, 11, -5], -23/1310720],
    [[-10, 4, 2], -7/163840],
    [[2, 0, -8], 39/65536],
    [[-5, -5, 5], 199/1310720],
    [[-10, 4, -6], -7/163840],
    [[-7, 3, 3], -401/655360],
    [[0, -8, -4], -981/1310720],
    [[1, 9, -7], -13/655360],
    [[-1, 3, -3], -5729/655360],
    [[7, -3, -5], -33/1310720],
    [[-4, -12, 0], -1/20480],
    [[-9, -5, -5], 199/1310720],
    [[-7, -1, -7], -73/131072],
    [[-6, 2, -6], 1579/655360],
    [[2, 4, -4], 1143/327680],
    [[-7, -7, -9], 3/1310720],
    [[-4, 2, -12], -1/131072],
    [[6, 4, -2], -9/163840],
    [[-5, 5, -3], 67/40960],
    [[-1, -13, -3], 3/655360],
    [[1, -7, 5], -5/262144],
    [[-2, 0, -8], 11/5120],
    [[1, 11, -1], -23/1310720],
    [[0, -6, 2], -853/655360],
    [[-5, -3, -1], -1143/1310720],
    [[-1, 7, 1], -65/131072],
    [[-2, -2, 8], 1/32768],
    [[3, -9, -3], 39/655360],
    [[-10, -2, -4], -13/163840],
    [[-5, 11, -5], -29/1310720],
    [[8, 0, -2], -1/65536],
    [[1, -9, -5], 103/655360],
    [[1, -9, 3], -13/655360],
    [[-8, -8, -8], -3/1310720],
    [[-5, -5, -3], 67/40960],
    [[4, 2, 2], -25/32768],
    [[-4, -4, -4], -2013/655360],
    [[-8, 6, -8], 3/655360],
    [[6, -4, -4], 107/655360],
    [[-2, -2, -2], 39471/327680],
    [[-1, 7, -9], 79/1310720],
    [[-8, 2, -6], -25/32768],
    [[-3, 3, 5], 173/327680],
    [[-5, -5, 7], -7/327680],
    [[-7, -5, -9], -5/262144],
    [[2, -4, 6], -7/163840],
    [[2, 6, -4], -853/655360],
    [[-1, -5, 3], -401/1310720],
    [[-3, -7, 5], 79/1310720],
    [[-6, 4, -4], 1143/327680],
    [[-1, 1, 7], -7/655360],
    [[-2, 4, -10], -9/163840],
    [[4, -2, 2], -25/32768],
    [[-3, -9, -1], 381/1310720],
    [[-4, 4, 6], 107/655360],
    [[-10, -4, -6], -7/163840],
    [[-1, 1, -1], -619/327680],
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    [[-10, -6, -6], 17/655360],
    [[-1, 7, -5], -65/131072],
    [[-2, 6, 6], 13/65536],
    [[7, 1, -5], -49/1310720],
    [[-7, 1, 3], -73/131072],
    [[-1, -7, -3], -1937/1310720],
    [[3, 9, 3], 3/1310720],
    [[-10, 0, 2], -11/163840],
    [[-2, 6, -10], 13/65536],
    [[-5, -7, 5], -5/262144],
    [[-2, -8, 0], 623/655360],
    [[1, -1, -5], 1111/131072],
    [[-6, -4, -8], 111/327680],
    [[-6, -8, 2], -41/655360],
    [[-5, -1, -5], 1111/131072],
    [[-2, -6, -4], -231/65536],
    [[-1, 3, -7], -1877/655360],
    [[-2, 14, -2], 3/327680],
    [[0, -2, -4], 10813/655360],
    [[0, 12, -2], 3/327680],
    [[-9, -3, 3], 79/1310720],
    [[-3, 1, -9], 799/1310720],
    [[3, 7, -1], -803/1310720],
    [[-5, 3, -11], -33/1310720],
    [[3, 1, -9], 63/1310720],
    [[6, -2, 0], -13/163840],
    [[8, -2, 0], -1/131072],
    [[-7, 5, -5], 33/1310720],
    [[-1, -1, -7], -445/131072],
    [[-4, -6, -10], -7/163840],
    [[-8, 4, 0], -253/262144],
    [[2, -4, -6], -213/163840],
    [[2, 0, 4], 39/65536],
    [[5, -7, -1], 79/1310720],
    [[-3, 11, -3], -71/1310720],
    [[3, 5, -9], -5/262144],
    [[4, 8, 0], -7/40960],
    [[-2, 2, 6], 63/65536],
    [[0, 4, 4], -253/262144],
    [[-5, 3, 1], 583/655360],
    [[-5, 11, -3], -23/1310720],
    [[3, -7, 1], 29/1310720],
    [[-4, 4, -6], 1143/327680],
    [[-7, -1, -9], 63/1310720],
    [[0, 10, 0], 61/327680],
    [[-6, 2, -4], -2289/327680],
    [[-1, 1, -5], 1581/262144],
    [[-7, -5, -5], 33/1310720],
    [[-6, -8, -6], -41/655360],
    [[-4, 0, 2], 977/81920],
    [[-8, 0, -2], 11/5120],
    [[-2, 2, -2], 39471/327680],
    [[-2, 6, 2], 147/163840],
    [[-5, 5, -9], 199/1310720],
    [[-2, -12, -4], 3/327680],
    [[3, 3, -5], -417/1310720],
    [[-12, 4, -4], -51/1310720],
    [[1, 5, -9], 199/1310720],
    [[-5, -5, -7], 33/1310720],
    [[-3, -5, -3], 375/262144],
    [[2, -6, 4], -1/16384],
    [[-14, 2, -2], -1/131072],
    [[0, 0, 0], 2531/655360],
    [[-8, 2, 2], -25/32768],
    [[5, 3, -3], 173/327680],
    [[2, -2, 4], -25/32768],
    [[-2, 4, -2], -249/16384],
    [[2, -6, -6], 1047/1310720],
    [[-6, 6, 0], -853/655360],
    [[6, 0, -4], 83/327680],
    [[-4, -8, 0], -981/1310720],
    [[2, 2, 6], 69/327680],
    [[4, 4, 4], -111/655360],
    [[-3, 9, -5], 287/1310720],
    [[4, -6, 2], -1/16384],
    [[1, -9, -3], 287/1310720],
    [[-5, 11, 1], -29/1310720],
    [[-5, 3, -3], -1143/1310720],
    [[-5, -9, -7], -13/655360],
    [[-6, 2, 6], 69/327680],
    [[-2, -10, -4], -41/327680],
    [[3, -9, 3], 3/1310720],
    [[-4, -8, 4], -7/40960],
    [[-4, -4, -10], 107/655360],
    [[4, 8, -6], 3/655360],
    [[5, 7, -1], 79/1310720],
    [[-6, 0, -6], -1267/327680],
    [[-6, -2, 2], 1579/655360],
    [[-1, 7, -3], -1937/1310720],
    [[2, -10, -2], 71/327680],
    [[1, -1, -11], -49/1310720],
    [[0, 0, -6], 977/81920],
    [[2, -4, 0], 1143/327680],
    [[-6, -8, -8], 3/655360],
    [[3, 7, 1], 29/1310720],
    [[1, 5, 7], -7/327680],
    [[-5, -3, -5], 583/655360],
    [[4, 4, -6], 111/327680],
    [[-4, 12, -2], 3/327680],
    [[5, -5, -3], 27/131072],
    [[-1, 1, 9], -1/262144],
    [[2, -8, -4], 113/327680],
    [[6, 6, -2], 13/65536],
    [[-10, -2, -2], 63/65536],
    [[0, 2, -6], -2289/327680],
    [[-9, -7, 3], 3/1310720],
    [[6, -4, -6], -7/163840],
    [[-9, 7, -7], 3/1310720],
    [[-4, 4, 0], -2013/655360],
    [[3, -7, -7], -21/1310720],
    [[-3, 5, -9], 27/131072],
    [[-6, -4, 2], -213/163840],
    [[2, 4, 6], -7/163840],
    [[9, 1, -1], -1/262144],
    [[1, -11, -5], -29/1310720],
    [[0, -8, 4], -7/40960],
    [[7, -3, -3], 7/1310720],
    [[2, 2, -4], -2289/327680],
    [[-2, 2, -12], 1/32768],
    [[-4, 4, -8], -253/262144],
    [[-3, -13, -3], 3/655360],
    [[-4, 0, -10], 83/327680],
    [[-3, 3, -1], -5729/655360],
    [[-11, -3, -3], 7/1310720],
    [[-2, -4, -10], -9/163840],
    [[-6, 8, 4], 3/655360],
    [[0, 2, -12], -1/131072],
    [[-8, 2, -4], 923/655360],
    [[2, -8, -8], 3/655360],
    [[7, -1, -3], -7/655360],
    [[1, 7, 1], 1/32768],
    [[-9, -1, -3], 799/1310720],
    [[-7, 5, 3], 3/131072],
    [[-9, 5, -1], 27/131072],
    [[3, 1, 3], -73/131072],
    [[5, 1, -3], 799/1310720],
    [[-3, 1, 7], -7/655360],
    [[0, -12, -4], -1/20480],
    [[-6, 2, 4], -25/32768],
    [[-3, -7, -5], -65/131072],
    [[2, 10, -4], -29/655360],
    [[-1, -3, -11], 7/1310720],
    [[-2, 10, -2], 15/32768],
    [[-5, -1, 1], 1111/131072],
    [[-6, 4, 4], 111/327680],
    [[0, 8, -2], 623/655360],
    [[-1, 5, 5], 27/131072],
    [[-9, 1, -5], 191/655360],
    [[-4, -10, -2], -41/327680],
    [[3, -5, -9], -5/262144],
    [[1, -1, 1], 1111/131072],
    [[-6, -10, 2], 7/262144],
    [[1, -1, -1], 1581/262144],
    [[1, 3, -7], -417/1310720],
    [[-5, -1, -1], 1581/262144],
    [[6, 4, -6], -7/163840],
    [[-10, -6, 0], -7/163840],
    [[0, 6, 6], -7/163840],
    [[-8, 8, 0], -7/40960],
    [[-8, -6, -8], 3/655360],
    [[-1, -9, -5], 287/1310720],
    [[-6, 10, 2], 7/262144],
    [[5, -3, -1], 173/327680],
    [[-6, -8, 0], 113/327680],
    [[-9, 5, 1], 199/1310720],
    [[0, 4, -10], 107/655360],
    [[1, 7, -1], -65/131072],
    [[6, -4, 0], 107/655360],
    [[1, 1, 3], -1419/1310720],
    [[-7, 7, 5], 3/1310720],
    [[-1, -5, -1], 375/262144],
    [[-11, 1, -1], -7/655360],
    [[3, -3, 1], -417/1310720],
    [[-7, 9, -7], 3/1310720],
    [[0, -10, -6], -29/655360],
    [[3, -1, -5], -1419/1310720],
    [[1, -5, 3], 33/1310720],
    [[-6, 6, -4], -853/655360],
    [[0, -6, -6], -853/655360],
    [[-9, 3, -3], 173/327680],
    [[4, 8, -4], -7/40960],
    [[-3, 3, -11], 7/1310720],
    [[-12, 2, 0], -1/131072],
    [[-2, 4, -6], -13/2560],
    [[3, -7, -9], 3/1310720],
    [[0, -6, 6], -7/163840],
    [[1, 1, -9], 191/655360],
    [[-4, -2, -12], -1/131072],
    [[4, -6, 4], 3/655360],
    [[0, 4, 0], -2013/655360],
    [[2, 2, -2], 305/131072],
    [[-8, -6, -2], -121/163840],
    [[5, -7, -7], 3/1310720],
    [[-4, -2, -6], -2289/327680],
    [[-5, 3, -1], -1143/1310720],
    [[-2, -12, -2], -3/81920],
    [[-6, -2, 6], 69/327680],
    [[7, 3, -5], -33/1310720],
    [[1, 11, -3], -23/1310720],
    [[5, 5, -5], 199/1310720],
    [[3, 7, -7], -21/1310720],
    [[-1, 13, -1], 3/655360],
    [[5, 7, 1], -5/262144],
    [[3, -5, 3], 3/131072],
    [[-2, 6, -8], -121/163840],
    [[-7, -9, 3], 3/1310720],
    [[-2, -6, -8], -121/163840],
    [[-1, -3, 3], -1877/655360],
    [[6, 0, -6], -11/163840],
    [[-3, 1, -13], -1/262144],
    [[-1, -5, 7], -33/1310720],
    [[-7, -9, -7], 3/1310720],
    [[-7, 1, 1], -1419/1310720],
    [[-3, 5, -7], -401/1310720],
    [[-10, 2, 0], -13/163840],
    [[-3, 5, -3], 375/262144],
    [[-1, -1, -3], -619/327680],
    [[4, -6, 0], 111/327680],
    [[0, 2, 2], -2289/327680],
    [[1, 3, -9], 127/655360],
    [[-8, -4, -4], -253/262144],
    [[-6, 2, 2], 1579/655360],
    [[-1, -5, -9], 27/131072],
    [[0, -10, 0], 61/327680],
    [[2, -4, -4], 1143/327680],
    [[-6, -2, -2], 305/131072],
    [[4, -8, 0], -7/40960],
    [[-4, 0, -6], 977/81920],
    [[2, -2, 2], 1579/655360],
    [[-5, 9, -5], 103/655360],
    [[-8, -2, -8], 107/655360],
    [[2, 4, -2], -13/2560],
    [[8, 2, 0], -1/131072],
    [[9, -3, -1], -1/262144],
    [[-10, 0, -6], -11/163840],
    [[-3, -9, -3], 381/1310720],
    [[7, 1, -3], -7/655360],
    [[4, -4, 4], -111/655360],
    [[-3, 7, -1], -1937/1310720],
    [[2, 4, -10], -7/163840],
    [[4, 6, -6], -1/16384],
    [[-8, 0, -6], 39/65536],
    [[2, 4, -6], -213/163840],
    [[-6, -4, -2], -13/2560],
    [[3, -9, 1], -13/655360],
    [[-4, -10, 2], -29/655360],
    [[-7, 1, -7], -73/131072],
    [[0, 2, 6], -13/163840],
    [[-3, -1, -11], -7/655360],
    [[-7, 9, 3], 3/1310720],
    [[-3, 3, -5], -1143/1310720],
    [[-5, 7, 1], 1/32768],
    [[-5, 1, -11], -49/1310720],
    [[-7, 7, -9], 3/1310720],
    [[-4, -4, 2], 1143/327680],
    [[1, -3, 5], 127/655360],
    [[-8, -2, -6], -25/32768],
    [[2, -6, -2], 147/163840],
    [[-4, -6, -4], 407/131072],
    [[4, 4, 0], -253/262144],
    [[-4, -6, -2], -231/65536],
    [[2, 10, -2], 71/327680],
    [[7, 3, 1], -33/1310720],
    [[-6, 10, -6], 7/262144],
    [[5, -1, 3], 63/1310720],
    [[-2, -6, -2], 87/40960],
    [[-2, 8, 2], -243/327680],
    [[-3, -5, -7], -401/1310720],
    [[-1, 3, -9], 173/327680],
    [[-10, -2, 0], -13/163840],
    [[2, 10, 0], -29/655360],
    [[-13, -3, -3], -1/262144],
    [[-5, 3, 7], -33/1310720],
    [[-1, -3, 7], 7/1310720],
    [[-2, -2, -12], 1/32768],
    [[-1, 7, -7], -803/1310720],
    [[-9, -7, -7], 3/1310720],
    [[4, 6, 2], -1/16384],
    [[1, 3, -1], -1143/1310720],
    [[-5, -1, -11], -49/1310720],
    [[2, 6, -10], 17/655360],
    [[-3, -1, 5], 799/1310720],
    [[-4, 0, 4], -2061/655360],
    [[1, 5, 3], 33/1310720],
    [[-7, -5, -3], -401/1310720],
    [[6, -6, -4], -7/163840],
    [[4, 0, 0], -2061/655360],
    [[3, 3, 1], -417/1310720],
    [[2, -2, -8], -25/32768],
    [[-5, 5, 7], -7/327680],
    [[9, 3, -1], -1/262144],
    [[-1, -9, -1], 381/1310720],
    [[-11, 5, -1], -33/1310720],
    [[5, -3, -5], 127/655360],
    [[2, 8, -6], -41/655360],
    [[1, 7, -5], 1/32768],
    [[-2, -8, 4], 107/655360],
    [[-7, -1, 1], -1419/1310720],
    [[-9, 7, -3], 79/1310720],
    [[-4, -12, -4], -1/20480],
    [[-4, -2, -4], 10813/655360],
    [[-6, 8, -4], 113/327680],
    [[-7, -5, 1], 33/1310720],
    [[0, -8, 0], -981/1310720],
    [[-7, 3, -7], -401/655360],
    [[3, -1, -1], -445/131072],
    [[-3, -1, -1], -619/327680],
    [[-10, 4, -2], -9/163840],
    [[-6, 8, 0], 113/327680],
    [[-4, 4, -12], -51/1310720],
    [[-9, 7, 3], 3/1310720],
    [[-7, -1, -3], -445/131072],
    [[0, -4, 0], -2013/655360],
    [[9, -3, -3], -1/262144],
    [[-4, 8, 4], -7/40960],
    [[-6, 2, -10], 69/327680],
    [[2, -8, 4], 3/655360],
    [[1, 7, 5], -5/262144],
    [[-2, -4, -6], -13/2560],
    [[-5, 3, 5], 127/655360],
    [[-10, 6, -6], 17/655360],
    [[-1, 9, -1], 381/1310720],
    [[-5, -3, 1], 583/655360],
    [[-3, 1, 3], -445/131072],
    [[-7, -7, 5], 3/1310720],
    [[-13, 1, -1], -1/262144],
    [[-7, -5, 3], 3/131072],
    [[1, -7, 1], 1/32768],
    [[3, 5, -7], 3/131072],
    [[2, -10, -6], 7/262144],
    [[0, 8, -6], 113/327680],
    [[-7, -3, -1], -1877/655360],
    [[3, -5, -1], -401/1310720],
    [[-1, -7, -5], -65/131072],
    [[-12, -2, -4], -1/131072],
    [[-12, -4, -2], -1/131072],
    [[5, 1, 1], 191/655360],
    [[2, 2, 2], 1579/655360],
    [[-10, 6, 0], -7/163840],
    [[-2, 0, 0], 8749/327680],
    [[-2, -2, 0], -1681/81920],
    [[0, 6, 2], -853/655360],
    [[-8, -8, -4], -7/40960],
    [[-10, 0, -2], -3/40960],
    [[3, 9, -7], 3/1310720],
    [[4, -2, -6], -25/32768],
    [[-4, 0, -8], -2061/655360],
    [[-3, 7, -9], 79/1310720],
    [[2, 2, -6], 1579/655360],
    [[1, -3, -5], 583/655360],
    [[4, 6, -2], -121/163840],
    [[0, 0, -12], -39/655360],
    [[-9, -7, -5], -5/262144],
    [[5, 5, 3], -5/262144],
    [[3, 5, -3], -401/1310720],
    [[-12, -2, 0], -1/131072],
    [[-3, 11, -1], -71/1310720],
    [[-7, 9, -3], 39/655360],
    [[-3, -1, 9], -1/262144],
    [[-6, 6, -8], -1/16384],
    [[-8, -4, -6], 111/327680],
    [[-2, -8, -4], 623/655360],
    [[-9, 3, -7], 79/1310720],
    [[-1, 5, -5], 67/40960],
    [[-1, 1, 3], -445/131072],
    [[5, -5, 1], 199/1310720],
    [[-3, -9, 3], 39/655360],
    [[-10, -4, -2], -9/163840],
    [[-2, 0, -10], -3/40960],
    [[3, -5, -3], -401/1310720],
    [[8, 2, -4], -1/131072],
    [[0, -4, -4], -2013/655360],
    [[3, 5, -5], 33/1310720],
    [[2, -2, -2], 305/131072],
    [[0, -4, -8], -253/262144],
    [[4, -8, -8], -3/1310720],
    [[2, 0, -4], 977/81920],
    [[-4, -2, -2], -1681/81920],
    [[-3, -5, -1], 375/262144],
    [[-8, 6, 2], -1/16384],
    [[6, 2, 2], 69/327680],
    [[-7, 3, -1], -1877/655360],
    [[-2, -4, -4], 2811/327680],
    [[1, -7, -3], -65/131072],
    [[0, -2, 6], -13/163840],
    [[-7, -3, -9], 79/1310720],
    [[8, -4, -2], -1/131072],
    [[-1, -1, 3], -445/131072],
    [[-3, 5, 7], -33/1310720],
    [[4, -8, -4], -7/40960],
    [[-5, 11, -1], -23/1310720],
    [[1, -9, -1], 287/1310720],
    [[-3, -3, -9], 173/327680],
    [[-8, -4, 2], 111/327680],
    [[-9, -3, -5], 127/655360],
    [[-5, -9, -1], 287/1310720],
    [[-1, 3, 1], -1143/1310720],
    [[-7, -9, -3], 39/655360],
    [[-3, -7, 1], -65/131072],
    [[-8, -8, -6], 3/655360],
    [[5, 3, -7], 79/1310720],
    [[-1, -13, -1], 3/655360],
    [[8, 4, -2], -1/131072],
    [[-7, -3, 5], 79/1310720],
    [[0, -2, -6], -2289/327680],
    [[-4, 2, 6], -13/163840],
    [[6, 2, -6], 69/327680],
    [[-4, 2, -2], -1681/81920],
    [[4, 0, -4], -2061/655360],
    [[-5, 3, -7], -417/1310720],
    [[-11, 5, -5], -7/327680],
    [[5, 5, 1], 199/1310720],
    [[0, 4, -8], -253/262144],
    [[-7, -1, 5], 63/1310720],
    [[5, 5, -7], -5/262144],
    [[-1, 3, 7], 7/1310720],
    [[-11, -1, -5], -49/1310720],
    [[-2, -6, 2], 147/163840],
    [[4, -2, 4], 107/655360],
    [[1, -3, -11], -33/1310720],
    [[-10, -4, 2], -7/163840],
    [[-3, -9, -7], 39/655360],
    [[1, 9, -3], 287/1310720],
    [[-5, -1, 5], 191/655360],
    [[-12, 2, -4], -1/131072],
    [[-2, 6, 0], -231/65536],
    [[-6, 4, 0], 1143/327680],
    [[-4, -6, 0], 407/131072],
    [[-9, 3, 3], 79/1310720],
    [[-3, 3, 1], -1143/1310720],
    [[7, -3, -1], 7/1310720],
    [[4, 4, -2], 859/655360],
    [[2, -4, 2], -213/163840],
    [[-6, 6, 4], -1/16384],
    [[1, -5, -3], 67/40960],
    [[-3, -1, -7], -445/131072],
    [[-3, -13, -1], 3/655360],
    [[-3, -5, 7], -33/1310720],
    [[-1, 5, -1], 375/262144],
    [[0, -6, 0], 407/131072],
];

// Dual filter m_3
m_3 = [
    [[-7, -3, -5], -401/1310720],
    [[7, 1, 3], -33/1310720],
    [[0, 0, 8], -981/1310720],
    [[1, 1, -3], 583/655360],
    [[-3, -3, 7], -1937/1310720],
    [[2, -8, -2], -25/32768],
    [[-6, 0, 8], 113/327680],
    [[4, 2, -6], -1/16384],
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    [[-9, -7, -5], -5/262144],
    [[-5, -5, 3], 583/655360],
    [[3, -3, 5], -401/1310720],
    [[-3, -1, 9], 381/1310720],
    [[-8, -4, -6], 111/327680],
    [[-11, -1, 3], 7/1310720],
    [[-2, -8, -4], 859/655360],
    [[-9, 3, -7], 3/1310720],
    [[-8, 0, 6], 111/327680],
    [[-1, 1, 3], -1143/1310720],
    [[-7, -7, -5], 3/131072],
    [[5, 3, -7], 3/1310720],
    [[-3, -9, 3], 173/327680],
    [[-10, 0, 2], -13/163840],
    [[2, -4, -10], -29/655360],
    [[8, -2, 0], -1/65536],
    [[0, -4, -4], -2013/655360],
    [[0, 2, 10], -29/655360],
    [[3, 5, -5], -5/262144],
    [[2, -2, -2], 305/131072],
    [[0, -4, -8], -981/1310720],
    [[4, 0, 0], -2061/655360],
    [[2, 0, -4], 1143/327680],
    [[-4, -2, -2], -1681/81920],
    [[-3, -5, -1], 1581/262144],
    [[6, 2, 2], 69/327680],
    [[-7, 3, -1], -73/131072],
    [[-2, -4, -4], 2811/327680],
    [[1, 3, 9], -13/655360],
    [[1, -7, -3], -417/1310720],
    [[0, -2, 6], -231/65536],
    [[-7, -3, -9], 39/655360],
    [[8, -4, -2], -1/131072],
    [[-1, -1, 3], -5729/655360],
    [[-3, -7, -5], -401/1310720],
    [[-7, -9, 7], 3/1310720],
    [[4, -8, -4], -111/655360],
    [[1, -9, -1], 191/655360],
    [[3, 3, -9], 3/1310720],
    [[-8, -4, 2], 923/655360],
    [[-9, -3, -5], 27/131072],
    [[-5, -9, -1], 191/655360],
    [[-1, 3, 1], -445/131072],
    [[-7, -9, -3], 79/1310720],
    [[3, -5, -3], -417/1310720],
    [[-8, -8, -6], 3/655360],
    [[-5, -3, -7], -65/131072],
    [[2, -2, 8], -243/327680],
    [[2, 0, 8], 113/327680],
    [[6, -6, 4], -7/163840],
    [[-3, -1, -7], -1937/1310720],
    [[-7, -3, 5], -401/1310720],
    [[0, -2, -6], -231/65536],
    [[-8, 4, 8], -3/1310720],
    [[4, -6, 6], -1/16384],
    [[-6, -2, -6], 147/163840],
    [[-4, -2, 2], -1681/81920],
    [[-4, -8, -4], -253/262144],
    [[-5, 3, -7], 29/1310720],
    [[5, -7, -3], 79/1310720],
    [[-2, 2, -8], -243/327680],
    [[0, 4, -8], -7/40960],
    [[-7, -1, 5], -401/1310720],
    [[5, -7, 5], -5/262144],
    [[-1, 3, 7], -803/1310720],
    [[3, 5, 7], 3/1310720],
    [[6, 2, 6], 17/655360],
    [[-2, -6, 2], 305/131072],
    [[-4, 6, 4], 107/655360],
    [[1, 1, 9], 103/655360],
    [[-10, -4, 2], -13/163840],
    [[-3, -9, -7], 79/1310720],
    [[-5, -1, 5], 67/40960],
    [[-12, -2, 0], -1/65536],
    [[2, -6, 0], -1267/327680],
    [[-6, 4, 0], 39/65536],
    [[-4, -6, 0], 977/81920],
    [[-9, 3, 3], 79/1310720],
    [[-3, 3, 1], -445/131072],
    [[7, -3, -1], -7/655360],
    [[-4, -4, -2], 10813/655360],
    [[2, -4, 2], -2289/327680],
    [[-6, 6, 4], -7/163840],
    [[1, -5, -3], 583/655360],
    [[2, 0, -6], -853/655360],
    [[-3, -13, -1], -1/262144],
    [[-3, -5, 7], -65/131072],
    [[-1, 5, -1], 799/1310720],
    [[0, -6, 0], 977/81920],
];

// Dual filter m_4
m_4 = [
    [[1, -1, -5], -241/1310720],
    [[-2, 0, 0], -173/327680],
    [[5, 1, -7], -21/1310720],
    [[6, -2, 2], 51/655360],
    [[-3, -1, 3], 21/81920],
    [[1, -5, 5], 141/2621440],
    [[6, -6, -2], 209/1310720],
    [[-7, 7, -5], -21/1310720],
    [[0, 0, 8], 51/655360],
    [[1, -9, -3], 39/262144],
    [[-5, 11, 1], 3/655360],
    [[1, 1, -3], -361/2621440],
    [[6, 0, -4], 3/16384],
    [[-8, 2, -8], -9/655360],
    [[4, -2, 4], 57/1310720],
    [[-2, 8, -2], 3/81920],
    [[-5, 3, -3], -361/2621440],
    [[-4, 2, -4], 783/1310720],
    [[1, -5, -11], -41/2621440],
    [[0, -10, 2], -57/1310720],
    [[-6, 0, 8], -73/655360],
    [[-5, -9, -7], -21/1310720],
    [[-7, 1, 9], -29/2621440],
    [[-6, 2, 6], -629/1310720],
    [[-12, -2, -2], 3/81920],
    [[-5, 1, 1], 783/2621440],
    [[-5, 1, 9], -25/524288],
    [[-3, 3, -9], 3/163840],
    [[4, -6, -2], -69/131072],
    [[4, 2, -6], -117/1310720],
    [[-3, 9, 3], -9/524288],
    [[-5, -5, 5], -459/2621440],
    [[4, 0, -2], 321/655360],
    [[-4, -4, -10], 3/16384],
    [[-6, -6, -4], -27/81920],
    [[-5, 1, -7], -11/655360],
    [[-1, 9, -1], 3/2621440],
    [[5, -7, -3], 107/2621440],
    [[-6, 6, -2], -19/524288],
    [[-5, -7, -1], -449/2621440],
    [[4, -4, -8], -321/2621440],
    [[-6, 0, -6], -91/262144],
    [[-3, -1, 11], 3/655360],
    [[-1, 7, -3], 9/524288],
    [[-8, -8, 0], 57/2621440],
    [[1, 1, -11], -57/2621440],
    [[0, 6, -2], 15/262144],
    [[1, -1, -11], -9/524288],
    [[0, 0, -6], 1033/1310720],
    [[-3, -13, -1], 3/655360],
    [[-2, 8, 4], -57/1310720],
    [[-3, -1, 9], -93/2621440],
    [[-11, -1, 1], 287/1310720],
    [[1, -3, 1], -361/2621440],
    [[-3, 1, 1], -3461/2621440],
    [[4, -2, 2], -147/655360],
    [[-9, 3, -5], -123/2621440],
    [[-4, 0, 4], -889/2621440],
    [[-8, 0, 4], 221/2621440],
    [[0, 4, 2], -27/81920],
    [[1, 3, 7], -21/1310720],
    [[-10, 6, -4], 3/262144],
    [[-8, 6, 0], -69/131072],
    [[-8, -2, 4], -167/262144],
    [[1, 5, 7], 3/524288],
    [[-3, -3, 7], 15/524288],
    [[-1, -11, -5], -29/2621440],
    [[-6, 4, 2], 257/131072],
    [[-11, 5, 3], -1/81920],
    [[-1, -5, 7], -27/2621440],
    [[-1, 9, -3], -9/2621440],
    [[5, -5, -1], 259/1310720],
    [[-6, -10, -2], 51/655360],
    [[-5, 5, 3], -117/327680],
    [[-2, -6, -4], -2443/1310720],
    [[-3, -9, 1], 15/524288],
    [[-10, 0, 4], -69/131072],
    [[-4, -4, -6], 1033/1310720],
    [[-3, 3, -5], -191/327680],
    [[1, -1, -3], -59/81920],
    [[-3, -7, 1], -449/2621440],
    [[-2, 2, 0], 1061/655360],
    [[-9, 1, 5], -1109/2621440],
    [[1, 5, -1], -369/2621440],
    [[4, 0, -4], -19/524288],
    [[0, 8, 2], -57/1310720],
    [[6, -2, -2], 319/1310720],
    [[2, -4, -6], -579/655360],
    [[-6, 4, -8], -9/655360],
    [[-4, -8, 4], 57/2621440],
    [[2, -10, 2], 87/2621440],
    [[3, -1, 5], 57/1310720],
    [[5, -5, -3], 39/262144],
    [[-4, 6, 0], -181/163840],
    [[-7, 1, 5], -117/327680],
    [[-1, 1, 9], -9/524288],
    [[2, 4, 0], -189/1310720],
    [[-13, 3, -1], -9/524288],
    [[-7, -5, -7], -123/2621440],
    [[-6, -6, -2], -323/2621440],
    [[-5, 9, 3], -29/2621440],
    [[2, -2, -4], -2443/1310720],
    [[-4, 6, 2], 861/1310720],
    [[-4, 2, -8], 15/262144],
    [[0, 2, -6], -27/81920],
    [[-9, 1, -5], -459/2621440],
    [[-1, -7, -1], -833/1310720],
    [[-1, -1, 9], 3/2621440],
    [[-7, -1, 5], -423/2621440],
    [[-9, -5, 5], -21/524288],
    [[4, -4, 0], -19/524288],
    [[3, -7, -7], -63/2621440],
    [[4, -8, -2], 37/327680],
    [[-5, -7, 3], 231/2621440],
    [[-3, -7, -3], -833/1310720],
    [[6, 0, 2], -9/1310720],
    [[5, 1, 3], -27/2621440],
    [[0, -6, -2], -2443/1310720],
    [[-4, -2, 4], -973/655360],
    [[3, 1, -3], 123/1310720],
    [[2, -8, -6], -77/1310720],
    [[4, -8, -6], 9/1310720],
    [[-3, 7, -5], 3/163840],
    [[2, -4, 2], -27/81920],
    [[5, -5, 3], -21/1310720],
    [[7, -5, -3], -29/2621440],
    [[-5, -1, -7], -449/2621440],
    [[1, -11, -5], -41/2621440],
    [[-2, -6, -6], 221/2621440],
    [[-1, -3, 5], -11/655360],
    [[-7, 3, -3], 127/655360],
    [[-8, 4, -6], -39/655360],
    [[4, 2, 4], -9/655360],
    [[4, -4, -2], 861/1310720],
    [[-1, 3, 1], -361/2621440],
    [[0, -2, 0], 1061/655360],
    [[0, 4, -6], 9/81920],
    [[-2, 2, 6], -19/524288],
    [[1, -1, 5], -369/2621440],
    [[-6, -6, -10], 87/2621440],
    [[-6, 6, -6], -111/1310720],
    [[-3, 7, -1], 87/1310720],
    [[-4, -10, -6], -57/1310720],
    [[8, -4, -4], -47/1310720],
    [[-9, -3, 1], 123/1310720],
    [[7, 1, -1], 3/2621440],
    [[-2, 2, -10], 51/655360],
    [[-1, -1, 1], 357/163840],
    [[-14, -2, -2], -3/262144],
    [[-4, 4, 8], 209/1310720],
    [[-3, -13, -3], 3/655360],
    [[-4, 0, -10], 3/81920],
    [[-13, 3, 3], -41/2621440],
    [[10, -2, -2], 3/327680],
    [[-5, 3, -9], -27/2621440],
    [[-1, -5, -3], 1529/2621440],
    [[-12, 0, 0], 319/1310720],
    [[-11, -3, 3], 207/1310720],
    [[-7, -9, -5], -21/1310720],
    [[-6, -2, 8], 3/16384],
    [[-11, 1, 1], 199/1310720],
    [[-2, 0, 4], -973/655360],
    [[-6, 8, 4], -41/1310720],
    [[-5, 3, 9], -29/2621440],
    [[-9, -1, 5], -227/524288],
    [[-10, 2, 2], -629/1310720],
    [[-13, 3, -3], -57/2621440],
    [[-6, 4, 8], -41/1310720],
    [[-4, 0, 10], -3/81920],
    [[-10, 4, 2], 321/1310720],
    [[0, -2, 8], -9/1310720],
    [[-8, -2, 0], -973/655360],
    [[-3, -3, -13], 3/655360],
    [[-2, -8, 4], 57/1310720],
    [[-2, -4, -8], 861/1310720],
    [[5, -7, -7], 9/2621440],
    [[3, -5, 1], 43/262144],
    [[-9, -7, -7], 3/524288],
    [[2, 4, -6], -39/655360],
    [[0, -2, -4], 3273/1310720],
    [[-10, 4, -6], 3/262144],
    [[-8, -4, -2], -91/262144],
    [[-7, 3, 3], 1697/1310720],
    [[-1, -3, -3], 783/2621440],
    [[-2, -6, 6], 57/2621440],
    [[-9, -1, -3], -449/2621440],
    [[-7, 5, 3], 9/327680],
    [[-1, -5, -11], -29/2621440],
    [[2, 0, 6], 57/1310720],
    [[-9, 5, -1], -227/524288],
    [[-8, 4, 4], 1351/2621440],
    [[-3, -11, -1], -93/2621440],
    [[3, -7, 3], -21/524288],
    [[-7, 3, -5], 33/1310720],
    [[3, 1, 3], 231/2621440],
    [[5, 1, -3], 459/2621440],
    [[-8, 4, -8], 3/163840],
    [[-3, -7, 3], -369/2621440],
    [[-6, 10, -2], -63/1310720],
    [[-5, -7, -3], 123/1310720],
    [[-4, -8, -6], 391/1310720],
    [[-4, -12, 0], -3/262144],
    [[-9, -5, -5], 141/2621440],
    [[-7, -1, -7], -369/2621440],
    [[-1, -1, -9], 287/1310720],
    [[-3, 1, 7], 287/1310720],
    [[1, 7, 3], -21/1310720],
    [[-2, 8, -4], -9/1310720],
    [[-2, 2, 4], 1033/1310720],
    [[-5, 9, -3], -9/524288],
    [[-6, 2, -6], 533/2621440],
    [[-7, -5, 7], -21/1310720],
    [[0, -12, -4], -47/1310720],
    [[2, -8, 0], 391/1310720],
    [[-7, 1, 7], 39/262144],
    [[-7, -3, 7], 207/1310720],
    [[-3, -7, -5], -423/2621440],
    [[-2, -10, -4], -73/655360],
    [[-2, 6, -2], -1231/2621440],
    [[3, -9, -5], -1/81920],
    [[-1, -3, -11], -25/524288],
    [[2, -10, -2], 209/1310720],
    [[-5, -1, 1], -3461/2621440],
    [[-7, -7, -9], 3/524288],
    [[-6, -8, -8], 3/262144],
    [[-8, -6, 0], -189/1310720],
    [[0, 8, -2], -9/1310720],
    [[-6, -2, -8], -147/655360],
    [[-5, -11, -3], -9/524288],
    [[-9, -7, 3], -3/2621440],
    [[-4, 10, 2], 3/327680],
    [[3, -5, -9], -1/81920],
    [[4, -6, -8], 9/1310720],
    [[-8, 0, 6], -69/131072],
    [[-6, 0, -10], -9/1310720],
    [[-10, -4, 4], -117/1310720],
    [[3, -7, -3], -1109/2621440],
    [[-4, 4, -8], 57/2621440],
    [[-5, -3, 5], 123/1310720],
    [[-6, -10, 2], -27/2621440],
    [[0, 4, -2], -91/262144],
    [[1, -7, 3], -123/2621440],
    [[-5, -5, -1], 1953/2621440],
    [[-11, 5, -3], -21/1310720],
    [[-1, -7, 3], -459/2621440],
    [[1, -1, -1], 21/81920],
    [[-4, 6, -4], -147/655360],
    [[-2, 4, 8], -57/1310720],
    [[1, 5, -7], -3/2621440],
    [[-1, 1, -7], 123/1310720],
    [[-8, 6, -4], -117/1310720],
    [[1, 3, -7], -123/2621440],
    [[0, -4, 6], 63/1310720],
    [[-1, -3, -9], 199/1310720],
    [[-8, 0, -4], -323/2621440],
    [[0, 0, -4], -2707/2621440],
    [[-5, -1, -1], -91/327680],
    [[-5, -1, 9], -141/2621440],
    [[-9, 3, 5], 3/2621440],
    [[0, 6, 4], -117/1310720],
    [[-2, -2, 2], 979/524288],
    [[-3, -3, -11], -141/2621440],
    [[-11, -1, -3], 15/524288],
    [[-6, 10, 0], 3/327680],
    [[-2, -4, -12], 3/327680],
    [[0, 0, 6], -147/655360],
    [[-6, 4, 6], 321/1310720],
    [[0, -6, 2], -27/81920],
    [[-7, -3, 5], 43/262144],
    [[-13, -1, 3], -9/524288],
    [[0, 6, 6], 3/262144],
    [[1, -3, -9], 39/262144],
    [[-8, 6, -6], 3/262144],
    [[-8, 8, 0], 209/1310720],
    [[-1, 7, 1], 459/2621440],
    [[-5, 9, -1], -141/2621440],
    [[-2, -2, -6], -889/2621440],
    [[7, -5, -5], -41/2621440],
    [[-7, 9, 1], -29/2621440],
    [[-1, -9, -5], 39/262144],
    [[-2, 0, 2], 1061/655360],
    [[-12, 2, -2], 3/16384],
    [[-6, 10, 2], -47/1310720],
    [[-5, 1, 7], 199/1310720],
    [[5, -3, -1], 287/1310720],
    [[-6, -8, 0], 15/262144],
    [[-3, 3, 3], -241/1310720],
    [[-5, -5, -5], 127/655360],
    [[1, -7, -9], -1/81920],
    [[-3, 9, -3], 3/2621440],
    [[-10, -2, -4], 15/262144],
    [[-9, 5, 1], -1109/2621440],
    [[-11, -5, -5], -9/1310720],
    [[-2, -2, 4], 1829/1310720],
    [[-3, 3, 9], -9/524288],
    [[-5, 1, -9], 9/524288],
    [[-1, -13, -1], 3/655360],
    [[-11, -3, 1], 459/2621440],
    [[1, 7, -1], 3/163840],
    [[-6, -4, 8], -57/1310720],
    [[-4, 6, 4], -69/131072],
    [[1, -9, -5], 37/327680],
    [[-8, -4, 4], 109/524288],
    [[-8, -2, -8], 57/1310720],
    [[1, 1, 3], -617/2621440],
    [[-2, -14, -2], 3/327680],
    [[1, -9, 3], -21/1310720],
    [[-8, -8, -8], -3/524288],
    [[-7, 7, 5], -1/81920],
    [[-6, 6, 2], -629/1310720],
    [[1, -5, -5], 1697/1310720],
    [[2, -6, -8], -77/1310720],
    [[6, -4, 2], -57/1310720],
    [[-9, 5, -7], 3/524288],
    [[-12, 4, -2], -57/1310720],
    [[-5, -5, -3], -361/2621440],
    [[-11, -5, 5], 3/524288],
    [[5, -5, -7], -1/81920],
    [[-10, -4, -2], 15/262144],
    [[3, -3, -3], -213/262144],
    [[-4, -4, 2], 783/1310720],
    [[-11, 1, -1], 287/1310720],
    [[4, 2, -4], 15/65536],
    [[4, 2, 2], 63/1310720],
    [[4, 4, -4], -111/1310720],
    [[3, 5, -7], 3/524288],
    [[2, -4, 6], -9/655360],
    [[-7, -7, -7], -21/524288],
    [[0, -4, -2], 3273/1310720],
    [[-6, -4, 0], 783/1310720],
    [[0, -10, -6], -41/1310720],
    [[2, 2, -2], -323/2621440],
    [[1, -5, 3], 33/1310720],
    [[6, -6, -4], -41/1310720],
    [[3, -1, -3], -833/1310720],
    [[-9, -3, -1], -449/2621440],
    [[-4, 2, 2], 3273/1310720],
    [[0, -6, -6], -579/655360],
    [[1, -3, 3], -617/2621440],
    [[-8, 2, -6], 9/81920],
    [[-9, 5, 5], -63/2621440],
    [[2, 0, -10], -57/1310720],
    [[-16, 0, 0], 3/327680],
    [[4, -8, 0], -391/2621440],
    [[5, -1, -1], 87/1310720],
    [[-2, 10, -2], -3/262144],
    [[-6, 0, 10], 3/327680],
    [[-5, -9, -5], 207/1310720],
    [[0, 2, 0], 783/1310720],
    [[3, 5, -3], 39/2621440],
    [[-14, 2, 2], -47/1310720],
    [[-9, 3, -3], 43/262144],
    [[-7, -7, -1], -369/2621440],
    [[0, 4, 8], 87/2621440],
    [[-9, 5, -3], -71/2621440],
    [[-10, -2, 2], -19/524288],
    [[5, -7, -5], -1/81920],
    [[-12, 4, 4], 59/2621440],
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    [[-9, -7, -1], 57/1310720],
    [[-2, -10, -2], 319/1310720],
    [[5, -5, 1], 207/1310720],
    [[-1, 1, -5], -361/2621440],
    [[-5, 7, -3], 459/2621440],
    [[-15, 1, 1], 3/655360],
    [[2, -2, -8], -69/131072],
    [[0, 4, -8], -111/1310720],
    [[-8, 0, -2], -973/655360],
    [[-1, -3, -7], -213/262144],
    [[6, -2, 0], -57/655360],
    [[-3, -3, 9], 3/2621440],
    [[-5, -1, 11], 3/655360],
    [[-3, 9, -1], -93/2621440],
    [[4, -4, 2], 15/65536],
    [[0, -8, -8], -321/2621440],
    [[-4, 10, 0], -3/81920],
    [[-7, -3, -1], 1953/2621440],
    [[-4, -4, 4], -323/2621440],
    [[-9, -7, 5], 3/524288],
    [[-10, -6, 2], -111/1310720],
    [[-2, 6, 6], -391/2621440],
    [[-4, -2, 10], 3/327680],
    [[4, 2, -8], 3/262144],
    [[0, -6, -8], 321/1310720],
    [[1, -3, -11], -29/2621440],
    [[-10, 0, -2], 321/655360],
    [[3, 3, -9], 3/524288],
    [[-8, 8, 2], -41/1310720],
    [[-2, -12, -4], 3/327680],
    [[-2, -2, 10], -3/262144],
    [[9, -3, -1], 3/655360],
    [[1, -3, 5], 231/2621440],
    [[-6, 8, -2], 3/16384],
    [[-11, 3, 1], 39/262144],
    [[-1, 7, -1], 15/524288],
    [[-7, 3, -1], -241/1310720],
    [[-8, -2, -6], -189/1310720],
    [[-4, -6, 2], -91/262144],
    [[-12, -2, 0], -57/655360],
    [[2, -6, 0], -167/262144],
    [[-6, 4, 0], -2443/1310720],
    [[-13, -3, 1], -9/524288],
    [[3, 1, -1], -449/2621440],
    [[-5, -5, -7], 43/262144],
    [[-8, -6, 6], 3/262144],
    [[-10, -2, -2], -1231/2621440],
    [[-9, 5, 3], 3/2621440],
    [[0, -4, 8], -27/2621440],
    [[-2, 6, -4], 15/262144],
    [[2, -6, 4], -39/655360],
    [[-2, 0, -2], -173/327680],
    [[-9, 3, 3], 9/327680],
    [[1, -3, -7], -117/327680],
    [[-3, -5, -7], -423/2621440],
    [[6, 0, 0], 3/81920],
    [[-10, 0, -6], 57/1310720],
    [[0, 2, 6], 15/65536],
    [[-7, -3, -7], -459/2621440],
    [[-4, 0, -8], -1231/2621440],
    [[-2, 10, 0], 3/327680],
    [[-9, -5, -7], -3/2621440],
    [[-8, -2, -2], 1829/1310720],
    [[-3, 1, -11], 3/2621440],
    [[-11, 1, -3], 459/2621440],
    [[1, 1, 1], 541/524288],
    [[2, -2, 4], -189/1310720],
    [[-2, 4, -2], 1829/1310720],
    [[2, 0, -2], -973/655360],
    [[-6, 6, 4], 321/1310720],
    [[1, -5, -3], 161/163840],
    [[2, -6, -6], 1351/2621440],
    [[-9, 7, -1], 91/2621440],
    [[2, 6, 2], -111/1310720],
    [[6, -4, 0], 3/16384],
    [[6, 2, -6], 87/2621440],
    [[-6, -6, 2], 533/2621440],
    [[-8, -6, -6], -39/655360],
    [[-8, -4, 8], 87/2621440],
    [[-2, -8, 0], 321/655360],
    [[2, -6, -2], 221/2621440],
    [[3, -1, 3], -369/2621440],
    [[-2, -4, 4], -91/262144],
    [[-4, -6, 0], 1829/1310720],
    [[-1, 5, 1], 123/1310720],
    [[-4, -4, -2], 1061/655360],
    [[3, -3, 3], -459/2621440],
    [[-4, 8, -4], 51/655360],
    [[-5, 3, 1], 1529/2621440],
    [[0, 6, -4], 63/1310720],
    [[-4, -2, -12], 3/327680],
];

// Dual filter m_5
m_5 = [
    [[1, -1, -5], -361/2621440],
    [[-5, 3, 5], -3/2621440],
    [[6, -2, 2], -19/524288],
    [[-3, -1, 3], 541/524288],
    [[1, -5, 5], -213/262144],
    [[-6, 6, -2], 209/1310720],
    [[7, 1, 3], -21/1310720],
    [[0, 0, 8], 51/655360],
    [[1, -9, -3], 123/1310720],
    [[5, -11, 1], 107/2621440],
    [[1, 1, -3], -361/2621440],
    [[6, -4, 0], -181/163840],
    [[-8, 2, -8], 9/1310720],
    [[-2, 8, -2], -3/81920],
    [[1, -9, 5], -1109/2621440],
    [[5, -3, -3], -449/2621440],
    [[4, -6, -4], -27/81920],
    [[1, -5, -11], -9/2621440],
    [[-4, -12, 2], -57/1310720],
    [[0, -10, 2], 861/1310720],
    [[8, 0, 2], -57/1310720],
    [[-5, -9, -7], -3/2621440],
    [[6, -2, 6], -391/2621440],
    [[-5, -11, -1], 3/163840],
    [[8, -6, -2], 3/16384],
    [[-3, 3, -9], 107/2621440],
    [[0, -12, 2], -73/655360],
    [[3, -9, -7], -3/2621440],
    [[4, 2, -6], -39/655360],
    [[3, -9, 3], 9/327680],
    [[-4, -6, 8], -57/1310720],
    [[-5, -5, 5], -459/2621440],
    [[4, 0, -2], -91/262144],
    [[-4, -4, -10], 3/16384],
    [[-6, -6, -4], -27/81920],
    [[-5, 1, -7], 9/327680],
    [[6, -10, -2], -391/2621440],
    [[-5, -1, 3], -617/2621440],
    [[6, -6, -2], -19/524288],
    [[-11, -5, 1], -9/2621440],
    [[-5, -7, -1], -191/327680],
    [[-4, 4, -8], -321/2621440],
    [[6, -4, -6], 57/1310720],
    [[7, -7, -5], -21/1310720],
    [[-6, 4, 0], 391/1310720],
    [[-2, 2, -6], 221/2621440],
    [[-1, 7, -3], -141/2621440],
    [[-8, -8, 0], 57/2621440],
    [[1, 1, -11], -57/2621440],
    [[0, 6, -2], -57/655360],
    [[5, -9, -1], -227/524288],
    [[0, 0, -6], 1033/1310720],
    [[-2, -14, 2], -63/1310720],
    [[-11, -1, 1], -9/524288],
    [[1, -15, -1], 3/655360],
    [[1, -3, 1], -3461/2621440],
    [[3, 3, -9], 3/524288],
    [[2, -4, 0], -785/262144],
    [[9, -5, 3], -29/2621440],
    [[4, -2, 2], 1033/1310720],
    [[-9, 3, -5], -1/81920],
    [[4, -8, 4], 1351/2621440],
    [[-6, 4, 4], 3/262144],
    [[0, 4, 2], 15/262144],
    [[-9, 1, -7], -1/81920],
    [[-6, -8, 2], 9/81920],
    [[-8, -6, -4], 15/65536],
    [[-1, 1, 1], 1953/2621440],
    [[1, -7, -5], -617/2621440],
    [[-2, -8, 8], -57/1310720],
    [[-1, -11, -5], 3/163840],
    [[-5, -1, -5], 161/163840],
    [[6, 0, -6], -9/655360],
    [[2, -12, -2], 3/16384],
    [[-9, 3, -1], 91/2621440],
    [[5, -5, -1], -833/1310720],
    [[-2, 0, 4], -91/262144],
    [[-6, -10, -2], 57/2621440],
    [[-5, 5, 3], -21/1310720],
    [[-8, -8, 2], -9/655360],
    [[-3, -9, 1], 123/1310720],
    [[-2, -2, -2], 159601/2621440],
    [[0, -6, 10], 3/327680],
    [[-3, -5, 3], -361/2621440],
    [[1, -1, -3], 2753/2621440],
    [[3, -5, 9], -29/2621440],
    [[-2, 2, 0], -973/655360],
    [[8, -8, 2], -41/1310720],
    [[7, -5, -1], 287/1310720],
    [[1, 5, -1], 15/524288],
    [[4, -12, -2], -57/1310720],
    [[-5, -11, 3], -21/1310720],
    [[8, -2, 2], 3/16384],
    [[-6, -6, 6], -111/1310720],
    [[-2, 0, -6], -2443/1310720],
    [[-6, 4, -8], 9/1310720],
    [[4, 0, 4], 109/524288],
    [[2, -10, 2], -629/1310720],
    [[3, -1, 5], 43/262144],
    [[4, -8, -6], -39/655360],
    [[5, -5, -3], 123/1310720],
    [[4, -2, 0], -973/655360],
    [[-7, 1, 5], -3/2621440],
    [[-2, -10, 6], -391/2621440],
    [[-3, 1, 1], -361/2621440],
    [[2, 4, 0], 15/262144],
    [[-7, -5, -7], -71/2621440],
    [[-6, -6, -2], -323/2621440],
    [[5, -9, 3], 3/2621440],
    [[2, -2, -4], 783/1310720],
    [[-3, -1, -5], 1529/2621440],
    [[0, 2, -6], -167/262144],
    [[-9, 1, -5], 37/327680],
    [[-1, -7, -1], 21/81920],
    [[-1, -1, 9], 3/2621440],
    [[-7, -1, 5], 39/2621440],
    [[4, -4, 0], -889/2621440],
    [[3, -7, -7], 141/2621440],
    [[-4, -8, 6], -117/1310720],
    [[-5, -7, 3], 33/1310720],
    [[-3, 5, 1], 459/2621440],
    [[6, 0, 2], 15/65536],
    [[5, 1, 3], -123/2621440],
    [[0, -6, -2], 1061/655360],
    [[-4, -2, 4], -91/262144],
    [[3, 1, -3], -617/2621440],
    [[6, 2, 0], 57/1310720],
    [[-4, 0, -6], 257/131072],
    [[-3, 7, -5], -29/2621440],
    [[2, -4, 2], 3273/1310720],
    [[5, 3, -5], -3/2621440],
    [[-1, -5, 9], -141/2621440],
    [[-7, -7, 1], 231/2621440],
    [[-5, -1, -7], -117/327680],
    [[-2, -6, -6], -323/2621440],
    [[-1, -3, 5], -487/524288],
    [[-7, 3, -3], -1109/2621440],
    [[-8, 4, -6], 9/1310720],
    [[4, -2, -8], 57/1310720],
    [[-2, -10, 4], 391/1310720],
    [[-1, 3, 1], -449/2621440],
    [[0, -2, 0], -173/327680],
    [[0, 4, -6], 391/1310720],
    [[-2, 2, 6], 57/2621440],
    [[-3, 3, 1], 123/1310720],
    [[0, -12, 4], 209/1310720],
    [[-6, -6, -10], 87/2621440],
    [[5, -3, -5], -369/2621440],
    [[-3, 7, -1], -141/2621440],
    [[8, -4, -4], 51/655360],
    [[-9, -3, 1], 15/524288],
    [[4, -10, 4], -77/1310720],
    [[-2, 2, -10], 209/1310720],
    [[-1, -1, 1], 357/163840],
    [[-14, -2, -2], 3/327680],
    [[4, -4, 8], 209/1310720],
    [[-3, -13, -3], -9/2621440],
    [[-4, 0, -10], 11/81920],
    [[-2, -6, 10], -63/1310720],
    [[10, -2, -2], -3/262144],
    [[-5, 3, -9], -1/81920],
    [[-1, -5, -3], 357/163840],
    [[-12, 0, 0], -63/1310720],
    [[-7, -9, -5], -3/2621440],
    [[-7, -9, 5], 3/524288],
    [[-11, 1, 1], -57/2621440],
    [[2, -4, 10], 3/327680],
    [[-1, -5, 1], -3461/2621440],
    [[4, -2, 6], 391/1310720],
    [[-7, 5, 1], -21/1310720],
    [[10, -2, 2], -63/1310720],
    [[-6, 4, -2], -69/131072],
    [[-3, -13, 3], -57/2621440],
    [[0, -2, 8], -57/655360],
    [[-6, -10, 4], 3/262144],
    [[-8, -2, 0], 321/655360],
    [[-3, -3, -13], 3/655360],
    [[-2, -8, 4], -167/262144],
    [[-2, -4, -8], 321/655360],
    [[5, -7, -7], -3/2621440],
    [[3, -5, 1], 1529/2621440],
    [[-9, -7, -7], 3/524288],
    [[-7, 1, -3], -117/327680],
    [[1, -1, 5], 123/1310720],
    [[0, -2, -4], 1061/655360],
    [[-7, -1, 3], -459/2621440],
    [[-8, -4, -2], 321/655360],
    [[-7, 3, 3], -21/524288],
    [[-1, -3, -3], -91/327680],
    [[1, 7, 1], -9/2621440],
    [[-2, -6, 6], -19/524288],
    [[1, -11, 5], 107/2621440],
    [[9, -1, 3], -57/2621440],
    [[7, -5, 3], 39/262144],
    [[-1, -5, -11], 3/2621440],
    [[2, 0, 6], 15/65536],
    [[9, -5, -1], -141/2621440],
    [[4, -10, 6], 9/1310720],
    [[-3, -11, -1], 15/524288],
    [[3, -7, 3], 1697/1310720],
    [[-7, 3, -5], 3/2621440],
    [[3, 1, 3], 33/1310720],
    [[5, 1, -3], 231/2621440],
    [[-8, 4, -8], -9/2621440],
    [[-3, -7, 3], 127/655360],
    [[-6, 4, 2], -117/1310720],
    [[-5, -7, -3], -617/2621440],
    [[-4, 0, 2], 13/131072],
    [[3, -7, 7], 37/327680],
    [[7, -9, -1], 91/2621440],
    [[-9, -5, -5], 207/1310720],
    [[-7, -1, -7], -1109/2621440],
    [[-1, -1, -9], 287/1310720],
    [[-1, 7, -1], -93/2621440],
    [[8, -4, 4], 209/1310720],
    [[-2, -12, 0], -57/655360],
    [[-2, 2, 4], -189/1310720],
    [[5, -9, -3], -71/2621440],
    [[-6, 2, -6], 1351/2621440],
    [[0, -12, -4], 51/655360],
    [[2, -8, 0], -2443/1310720],
    [[1, 5, -5], 207/1310720],
    [[-7, 1, -5], 9/327680],
    [[-3, -7, -5], -617/2621440],
    [[-2, -10, -4], 15/262144],
    [[1, -13, 1], -25/524288],
    [[-4, -8, 8], 87/2621440],
    [[-1, -3, -11], -93/2621440],
    [[10, -4, -2], 3/327680],
    [[2, -10, -2], -19/524288],
    [[-5, -1, 1], -361/2621440],
    [[-7, -7, -9], 3/524288],
    [[-6, -8, -8], 3/262144],
    [[0, 8, -2], 3/327680],
    [[-6, -2, -8], -69/131072],
    [[-5, -11, -3], -27/2621440],
    [[4, -12, 2], -41/1310720],
    [[8, -8, -2], -57/1310720],
    [[-9, -7, 3], -9/1310720],
    [[-4, -10, -2], 15/262144],
    [[3, -5, -9], -27/2621440],
    [[4, -6, -8], -9/655360],
    [[-6, 0, -10], -41/1310720],
    [[3, -7, -3], 127/655360],
    [[4, -4, -8], 57/2621440],
    [[5, 3, 5], 3/524288],
    [[-6, -10, 2], -111/1310720],
    [[0, 4, -2], 321/655360],
    [[-5, -5, -1], 1953/2621440],
    [[-1, -7, 3], -241/1310720],
    [[1, -1, -1], 357/163840],
    [[2, -8, 8], -41/1310720],
    [[1, 5, -7], -21/1310720],
    [[-1, 1, -7], -423/2621440],
    [[-8, -6, 0], 15/262144],
    [[2, -6, -6], 533/2621440],
    [[1, 3, -7], -71/2621440],
    [[0, -4, 6], -181/163840],
    [[-8, 0, -4], -629/1310720],
    [[-5, -1, -1], -59/81920],
    [[-5, -3, -5], -241/1310720],
    [[2, 0, 4], -27/81920],
    [[1, -13, -1], -141/2621440],
    [[-11, -1, -3], -25/524288],
    [[6, -10, 0], 37/327680],
    [[2, -4, 8], -73/655360],
    [[0, 0, 6], -147/655360],
    [[-6, -8, -6], -39/655360],
    [[-10, -6, 0], -9/1310720],
    [[-7, -3, 5], 57/1310720],
    [[1, -1, 9], -9/524288],
    [[0, -6, -6], -91/262144],
    [[1, -3, -9], 15/524288],
    [[0, -4, 12], 3/327680],
    [[-9, 3, -3], 107/2621440],
    [[-1, 7, 1], 3/2621440],
    [[1, -1, -11], -9/524288],
    [[7, -9, 1], 107/2621440],
    [[-1, -9, -5], -369/2621440],
    [[-2, 0, 2], 783/1310720],
    [[-4, 0, 4], 533/2621440],
    [[6, -10, 2], -321/2621440],
    [[-5, 1, 7], -9/1310720],
    [[5, -3, -1], -487/524288],
    [[-6, -8, 0], -189/1310720],
    [[-3, -7, 7], 207/1310720],
    [[5, -7, 7], -1/81920],
    [[4, -2, 8], -57/1310720],
    [[-3, 9, -3], 3/655360],
    [[-10, -2, -4], -73/655360],
    [[9, -5, 1], -25/524288],
    [[-2, -2, 4], 1829/1310720],
    [[3, -3, 9], -9/524288],
    [[-5, 1, -9], 37/327680],
    [[-1, -13, -1], -93/2621440],
    [[0, 4, -8], -391/2621440],
    [[1, 7, -1], 3/2621440],
    [[5, -11, -5], 3/524288],
    [[8, 0, -2], -9/1310720],
    [[4, 2, -8], 3/262144],
    [[1, -5, 11], 3/655360],
    [[1, -9, -5], -459/2621440],
    [[-8, 4, -4], -321/2621440],
    [[-8, -2, -8], 37/327680],
    [[1, 1, 3], -617/2621440],
    [[-2, -14, -2], -3/262144],
    [[1, -9, 3], -117/327680],
    [[-8, -8, -8], -3/524288],
    [[7, -7, 5], -1/81920],
    [[-6, 6, 2], 87/2621440],
    [[1, -5, -5], 541/524288],
    [[2, -6, -8], 63/1310720],
    [[0, -10, 4], -69/131072],
    [[6, -4, 2], 861/1310720],
    [[-5, -5, -3], -361/2621440],
    [[-4, -6, -2], 783/1310720],
    [[-10, 0, 2], -57/1310720],
    [[3, -3, -3], 1953/2621440],
    [[-4, -4, 2], 783/1310720],
    [[-11, 1, -1], -9/524288],
    [[-4, -6, -4], 13/131072],
    [[3, -9, 5], 3/2621440],
    [[4, 2, 2], 9/81920],
    [[4, 4, -4], -111/1310720],
    [[3, 5, -7], 3/524288],
    [[-2, -4, -6], -973/655360],
    [[6, -8, -6], 3/262144],
    [[-7, -7, -7], -21/524288],
    [[6, -4, -4], -147/655360],
    [[0, -10, -6], 57/1310720],
    [[-1, -1, -1], -91/327680],
    [[1, -5, 3], 1529/2621440],
    [[-1, -7, 9], -9/524288],
    [[3, -1, -3], 541/524288],
    [[-9, -3, -1], 87/1310720],
    [[-4, 2, 2], -27/81920],
    [[-2, -14, 0], 3/327680],
    [[1, -3, 3], -59/81920],
    [[2, 0, 8], -57/1310720],
    [[-2, -4, -10], -57/655360],
    [[0, -16, 0], 3/327680],
    [[4, -8, 0], 221/2621440],
    [[5, -1, -1], -449/2621440],
    [[-2, 10, -2], 3/327680],
    [[-6, -4, -10], -57/1310720],
    [[-5, -9, -5], 141/2621440],
    [[0, 2, 0], 1829/1310720],
    [[3, -3, 5], -423/2621440],
    [[9, -3, -3], 3/2621440],
    [[-7, -7, -1], -369/2621440],
    [[-8, -8, -4], -111/1310720],
    [[9, -5, -3], -9/524288],
    [[-10, -2, 2], 51/655360],
    [[-8, 0, 4], -111/1310720],
    [[5, -7, -5], -123/2621440],
    [[-4, -4, -12], -63/1310720],
    [[6, -2, -4], 15/262144],
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    [[6, 0, 4], -117/1310720],
    [[-2, -10, -2], -1231/2621440],
    [[-9, 1, -1], 259/1310720],
    [[1, -7, 3], 161/163840],
    [[-1, 1, -5], -241/1310720],
    [[-5, 7, -3], -29/2621440],
    [[6, -10, 4], 9/1310720],
    [[-2, 2, -8], -69/131072],
    [[4, -8, 2], -579/655360],
    [[7, -1, -5], -27/2621440],
    [[-1, -3, -7], -487/524288],
    [[-2, -6, 8], 3/16384],
    [[-3, -3, 9], 3/2621440],
    [[-3, 9, -1], 3/655360],
    [[-4, 4, 2], 15/65536],
    [[-4, -12, 0], 51/655360],
    [[-3, -5, 7], 459/2621440],
    [[-7, -3, -1], -487/524288],
    [[-5, -9, 1], -459/2621440],
    [[-4, -4, 4], -323/2621440],
    [[-9, 1, -3], 39/262144],
    [[-10, -6, 2], -27/2621440],
    [[2, 6, 2], -27/2621440],
    [[-2, 6, 2], 51/655360],
    [[0, -6, -8], 15/262144],
    [[1, -3, -11], 3/2621440],
    [[-10, 0, -2], -73/655360],
    [[-3, -3, -9], 287/1310720],
    [[0, -8, 8], 209/1310720],
    [[-2, 8, 0], 3/327680],
    [[-2, -2, 10], -3/262144],
    [[3, -7, 1], 161/163840],
    [[1, -3, 5], -833/1310720],
    [[-12, -4, -4], -63/1310720],
    [[11, -3, 1], 3/655360],
    [[-3, 1, 7], -27/2621440],
    [[-7, 3, -1], -227/524288],
    [[-1, -11, 1], 287/1310720],
    [[-4, -6, 2], 13/131072],
    [[2, -6, 0], 3273/1310720],
    [[6, -8, 0], -69/131072],
    [[-4, -2, 0], 1061/655360],
    [[3, 1, -1], -191/327680],
    [[5, -7, 5], 3/2621440],
    [[-6, 4, -6], -77/1310720],
    [[-10, -2, -2], 319/1310720],
    [[5, -3, 1], -833/1310720],
    [[-4, -6, 0], 783/1310720],
    [[-2, 6, -4], -73/655360],
    [[2, -6, 4], 257/131072],
    [[-1, -9, 3], -423/2621440],
    [[9, -3, 3], -9/524288],
    [[4, 4, 4], 3/163840],
    [[-3, -5, -7], 123/1310720],
    [[-6, 0, -4], 257/131072],
    [[-1, 9, -3], 3/655360],
    [[3, -1, -7], -459/2621440],
    [[0, -2, -6], -973/655360],
    [[-5, 3, -1], -423/2621440],
    [[-7, -3, -7], -227/524288],
    [[7, 1, 5], 3/524288],
    [[-13, -3, -3], 3/655360],
    [[0, 0, 0], 979/524288],
    [[-9, -5, -7], -21/1310720],
    [[-8, -2, -2], -181/163840],
    [[1, -3, -7], -449/2621440],
    [[5, 3, -3], 39/2621440],
    [[1, 1, 1], 541/524288],
    [[6, 2, -4], -9/655360],
    [[3, -3, 3], -241/1310720],
    [[2, 0, -2], 783/1310720],
    [[6, -6, 4], 321/1310720],
    [[-1, -15, 1], 3/655360],
    [[2, 2, 2], 533/2621440],
    [[9, -7, -1], -9/524288],
    [[-9, -7, -5], -21/1310720],
    [[-6, -4, -4], 1033/1310720],
    [[-6, -2, -6], 221/2621440],
    [[-6, -6, 2], 533/2621440],
    [[4, 0, 0], -323/2621440],
    [[-2, -8, 0], -973/655360],
    [[-2, 6, -2], 319/1310720],
    [[-3, -1, -3], 783/2621440],
    [[3, -9, -5], -123/2621440],
    [[4, 2, 0], -189/1310720],
    [[-1, -3, 1], -91/327680],
    [[-1, 5, 1], 15/524288],
    [[-4, -4, -2], 1061/655360],
    [[-3, -5, -5], -361/2621440],
    [[-4, 8, -4], -47/1310720],
    [[-5, 3, 1], 43/262144],
    [[0, -6, 0], -785/262144],
    [[2, 4, -4], 15/65536],
];

// Dual filter m_6
m_6 = [
    [[8, 0, -8], 209/1310720],
    [[-2, -4, -4], 1061/655360],
    [[5, 1, -7], -117/327680],
    [[6, -2, 2], 57/2621440],
    [[-3, -1, 3], -833/1310720],
    [[1, -5, 5], 207/1310720],
    [[6, -6, -2], 57/2621440],
    [[6, 6, -2], -391/2621440],
    [[0, 0, 8], -3/262144],
    [[1, -9, -3], 15/524288],
    [[2, 8, -8], -41/1310720],
    [[1, 1, -3], -3461/2621440],
    [[2, 2, -10], -629/1310720],
    [[-8, 2, -8], -9/655360],
    [[-2, 8, -2], 3/81920],
    [[0, 0, -14], -3/81920],
    [[7, 1, -9], 107/2621440],
    [[-4, 2, -4], 783/1310720],
    [[4, -4, -12], 87/2621440],
    [[0, -10, 2], -57/1310720],
    [[-5, -9, -7], -21/1310720],
    [[-6, 2, 6], 87/2621440],
    [[-12, -2, -2], -3/81920],
    [[-2, -10, -4], -57/655360],
    [[4, 8, -2], -57/1310720],
    [[-3, 3, -9], 43/262144],
    [[-4, 2, -2], 783/1310720],
    [[-5, -7, -7], -123/2621440],
    [[4, 2, -6], 257/131072],
    [[3, -9, 3], 3/524288],
    [[4, -2, -12], -57/1310720],
    [[5, -7, -7], -3/2621440],
    [[4, 0, -2], -973/655360],
    [[4, 4, -10], -77/1310720],
    [[-6, -6, -4], -167/262144],
    [[-5, 1, -7], -617/2621440],
    [[3, -7, 3], -21/524288],
    [[5, -7, -3], 57/1310720],
    [[-6, 6, -2], 57/2621440],
    [[-11, -5, 1], -41/2621440],
    [[-5, -7, -1], -117/327680],
    [[-4, 4, -8], 109/524288],
    [[-6, 0, -6], -91/262144],
    [[3, -3, -13], -57/2621440],
    [[6, 4, -4], -69/131072],
    [[3, -1, -11], 259/1310720],
    [[6, -6, -10], -3/524288],
    [[-8, -8, 0], -321/2621440],
    [[-9, -3, -1], 199/1310720],
    [[-7, -1, -9], 57/1310720],
    [[1, 1, -11], 199/1310720],
    [[0, 6, -2], 321/655360],
    [[1, -1, -11], 287/1310720],
    [[0, 0, -6], -785/262144],
    [[-3, -13, -1], 3/655360],
    [[-3, 3, 3], -459/2621440],
    [[-11, -1, 1], -9/524288],
    [[1, -3, 1], -361/2621440],
    [[-3, 1, 1], -361/2621440],
    [[4, -2, 2], -189/1310720],
    [[-9, 3, -5], -27/2621440],
    [[-3, -1, 1], -59/81920],
    [[-6, -8, -8], 3/262144],
    [[0, 4, 2], -189/1310720],
    [[-6, -8, 2], -77/1310720],
    [[-8, -6, -4], 391/1310720],
    [[-1, 1, 1], 1953/2621440],
    [[1, -7, -5], -11/655360],
    [[-2, 4, -12], -57/1310720],
    [[-9, -5, -7], -21/1310720],
    [[-1, -11, -5], 3/2621440],
    [[-1, 5, -7], -423/2621440],
    [[-1, -9, 3], 91/2621440],
    [[5, -5, -1], 231/2621440],
    [[11, 1, -5], 3/655360],
    [[-6, -10, -2], 209/1310720],
    [[-5, 5, 3], -3/2621440],
    [[-4, 8, -2], -9/1310720],
    [[-3, -9, 1], 39/262144],
    [[-2, -2, -2], 159601/2621440],
    [[0, 6, -10], 37/327680],
    [[-3, -5, 3], -117/327680],
    [[1, -1, -3], -91/327680],
    [[-3, -7, 1], -117/327680],
    [[-6, -2, -8], -189/1310720],
    [[-9, -7, -3], 91/2621440],
    [[4, 4, -8], 1351/2621440],
    [[1, 5, -1], 123/1310720],
    [[2, 2, 4], 63/1310720],
    [[8, 2, -2], 3/16384],
    [[-6, -6, 6], 59/2621440],
    [[2, -4, -6], 13/131072],
    [[-6, 4, -8], -39/655360],
    [[4, 0, 4], 57/2621440],
    [[2, -10, 2], 87/2621440],
    [[3, -1, 5], 3/163840],
    [[4, -8, -6], -9/655360],
    [[-5, -7, 1], 9/327680],
    [[1, 3, -3], -59/81920],
    [[-7, -9, -1], 107/2621440],
    [[-7, 1, 5], -21/1310720],
    [[5, -5, 1], 141/2621440],
    [[2, 4, 0], -27/81920],
    [[0, 10, -2], 3/327680],
    [[7, 5, -7], -1/81920],
    [[-6, -6, -2], 221/2621440],
    [[2, -2, -4], 1061/655360],
    [[-4, 6, 2], -9/655360],
    [[-4, 2, -8], -27/81920],
    [[0, 2, -6], 3273/1310720],
    [[-9, 1, -5], 9/524288],
    [[-1, -7, -1], -833/1310720],
    [[-1, -1, 9], 3/655360],
    [[-7, -1, 5], 91/2621440],
    [[4, -4, 0], 533/2621440],
    [[-3, 7, -7], 207/1310720],
    [[4, -8, -2], 57/1310720],
    [[-5, -7, 3], 3/2621440],
    [[3, -5, -9], -123/2621440],
    [[3, 7, -3], 259/1310720],
    [[6, 0, 2], 57/1310720],
    [[5, 1, 3], 39/2621440],
    [[0, -6, -2], -973/655360],
    [[4, -6, -8], -39/655360],
    [[3, 1, -3], -59/81920],
    [[6, 2, 0], 15/65536],
    [[-4, 0, -6], 783/1310720],
    [[-3, 7, -5], 459/2621440],
    [[-2, -4, -2], -785/262144],
    [[-5, -3, -5], -361/2621440],
    [[-1, 5, -9], -227/524288],
    [[-7, -7, 1], 3/2621440],
    [[-5, -1, -7], -191/327680],
    [[1, -11, -5], -9/2621440],
    [[-2, -6, -6], -323/2621440],
    [[0, -8, 4], -391/2621440],
    [[-7, 3, -3], -369/2621440],
    [[-8, -4, 2], 321/1310720],
    [[4, 2, 4], -9/655360],
    [[-2, -2, -4], -173/327680],
    [[-1, 3, 1], -191/327680],
    [[0, -2, 0], 1061/655360],
    [[0, 4, -6], -2443/1310720],
    [[0, 12, -4], 3/327680],
    [[-6, -6, -10], 3/163840],
    [[2, -2, -12], 3/16384],
    [[-3, 7, -1], 9/524288],
    [[-4, -10, -6], -57/1310720],
    [[8, -4, -4], 51/655360],
    [[-9, -3, 1], 39/262144],
    [[7, 1, -1], 459/2621440],
    [[-2, 2, -10], -19/524288],
    [[-1, -1, 1], 21/81920],
    [[-14, -2, -2], 3/327680],
    [[-3, -13, -3], 3/655360],
    [[-4, 0, -10], -147/655360],
    [[3, -3, -11], 207/1310720],
    [[10, -2, -2], -3/262144],
    [[5, -3, -9], -71/2621440],
    [[-1, -5, -3], 21/81920],
    [[-12, 0, 0], -63/1310720],
    [[3, 1, -11], 39/262144],
    [[-7, -9, -5], -21/1310720],
    [[-9, 3, 3], 3/524288],
    [[-11, 1, 1], -57/2621440],
    [[-2, -4, -8], -91/262144],
    [[-1, -5, 1], -241/1310720],
    [[5, 1, -11], 107/2621440],
    [[9, -1, -5], -141/2621440],
    [[-10, 2, 2], 87/2621440],
    [[1, 7, -9], 107/2621440],
    [[-6, 4, -2], -189/1310720],
    [[0, -2, 8], 3/327680],
    [[0, 4, -12], 209/1310720],
    [[-8, -2, 0], 861/1310720],
    [[3, 3, -13], -41/2621440],
    [[2, -8, -8], -9/655360],
    [[-2, 0, 4], 321/655360],
    [[-5, 7, -7], -21/1310720],
    [[3, -5, 1], 33/1310720],
    [[-7, -3, 1], -117/327680],
    [[1, -1, 5], 15/524288],
    [[0, -2, -4], -173/327680],
    [[2, 6, -8], 321/1310720],
    [[-8, -4, -2], 861/1310720],
    [[-7, 3, 3], -21/524288],
    [[-1, -3, -3], -91/327680],
    [[-2, -6, 6], 209/1310720],
    [[1, 9, -7], -29/2621440],
    [[-9, -1, -3], 87/1310720],
    [[-7, 5, 3], 3/524288],
    [[-1, -5, -11], 3/163840],
    [[2, 0, 6], -9/1310720],
    [[-8, 4, 4], -3/524288],
    [[-3, -11, -1], -25/524288],
    [[-7, 3, -5], 231/2621440],
    [[3, 1, 3], 231/2621440],
    [[5, 1, -3], -833/1310720],
    [[-8, 4, -8], 3/163840],
    [[-3, -7, 3], -1109/2621440],
    [[-6, 4, 2], -39/655360],
    [[5, 7, -3], 91/2621440],
    [[4, 0, -6], -2443/1310720],
    [[-4, -12, 0], -47/1310720],
    [[-9, -5, -5], 207/1310720],
    [[-7, -1, -7], -369/2621440],
    [[-1, -1, -9], -487/524288],
    [[-3, 1, 7], -9/524288],
    [[8, 4, -4], 209/1310720],
    [[2, 8, 0], -57/1310720],
    [[4, 4, -6], -579/655360],
    [[2, -2, 4], -147/655360],
    [[-6, 2, -6], 533/2621440],
    [[0, -12, -4], -3/262144],
    [[2, -8, 0], 15/65536],
    [[7, 3, -5], 39/262144],
    [[-1, 1, -15], 3/655360],
    [[-7, 1, -5], -11/655360],
    [[-3, -7, -5], 123/1310720],
    [[2, 10, -4], 3/327680],
    [[-2, 6, -2], -1231/2621440],
    [[-3, 9, -5], -9/524288],
    [[-1, -3, -11], 15/524288],
    [[2, -10, -2], 51/655360],
    [[-5, -1, 1], -241/1310720],
    [[-7, -7, -9], 3/524288],
    [[6, 4, -8], -77/1310720],
    [[-1, 7, -3], 87/1310720],
    [[-4, 2, -12], -57/1310720],
    [[0, 8, -2], -57/655360],
    [[0, 2, 6], -9/1310720],
    [[6, 2, -8], 321/1310720],
    [[-5, -11, -3], -9/524288],
    [[-2, -2, -12], 3/81920],
    [[-9, -7, 3], 9/2621440],
    [[-4, -10, -2], -73/655360],
    [[-3, 5, -9], -71/2621440],
    [[-4, -2, 4], 861/1310720],
    [[-6, 0, -10], 57/1310720],
    [[3, -7, -3], -369/2621440],
    [[4, -4, -8], 109/524288],
    [[-5, -3, 5], 39/262144],
    [[-6, -10, 2], 59/2621440],
    [[0, 4, -2], -973/655360],
    [[-5, -5, -1], 161/163840],
    [[-4, -4, -10], 63/1310720],
    [[2, 2, -14], -47/1310720],
    [[-1, -7, 3], -227/524288],
    [[1, -1, -1], 357/163840],
    [[2, 4, -12], -41/1310720],
    [[1, 5, -7], -117/327680],
    [[-1, 1, -7], -59/81920],
    [[-8, -6, 0], 321/1310720],
    [[1, 3, -7], 161/163840],
    [[0, -4, 6], 3/16384],
    [[-8, 0, -4], -1231/2621440],
    [[-5, -1, -1], -59/81920],
    [[5, -1, -9], -227/524288],
    [[9, 1, -7], -29/2621440],
    [[-2, -2, 2], -889/2621440],
    [[3, 3, -11], 37/327680],
    [[8, -2, -6], 3/16384],
    [[-11, -1, -3], -93/2621440],
    [[7, -3, -1], 9/524288],
    [[-2, 0, 8], 3/327680],
    [[0, 0, 6], 3/81920],
    [[-6, -8, -6], -117/1310720],
    [[0, -6, 2], -167/262144],
    [[-7, -3, 5], 107/2621440],
    [[-9, -3, -3], 287/1310720],
    [[4, 6, -8], -77/1310720],
    [[0, -6, -6], -91/262144],
    [[1, -3, -9], 123/1310720],
    [[-5, 3, -11], -21/1310720],
    [[5, -5, -11], 3/524288],
    [[-1, 7, 1], 3/163840],
    [[-2, -2, 8], -3/81920],
    [[6, 0, -10], 37/327680],
    [[-1, -9, -5], 15/524288],
    [[2, -4, 2], -27/81920],
    [[9, -1, -7], -9/524288],
    [[-4, 0, 4], -19/524288],
    [[-5, 1, 7], -57/2621440],
    [[5, -3, -1], -11/655360],
    [[-6, -8, 0], 321/1310720],
    [[-2, -4, 4], 861/1310720],
    [[5, 5, -5], -1109/2621440],
    [[4, 2, -12], -41/1310720],
    [[3, -9, -3], 3/163840],
    [[10, 2, -4], 3/327680],
    [[0, 4, -10], -69/131072],
    [[-2, -2, 4], -181/163840],
    [[-4, 8, -6], -57/1310720],
    [[-5, 1, -9], -459/2621440],
    [[-1, -13, -1], 3/655360],
    [[0, 4, -8], 221/2621440],
    [[1, 7, -1], 459/2621440],
    [[4, 6, 2], 3/262144],
    [[8, 0, -2], -57/655360],
    [[-4, -6, -8], 9/81920],
    [[7, -3, -9], -21/1310720],
    [[-10, -2, -4], -57/655360],
    [[1, -9, -5], 9/524288],
    [[-8, 4, -4], 57/2621440],
    [[-8, -2, -8], 57/1310720],
    [[1, 1, 3], -11/655360],
    [[-2, -14, -2], 3/327680],
    [[1, -9, 3], -21/1310720],
    [[-8, -8, -8], -3/524288],
    [[7, 1, -3], 287/1310720],
    [[-6, 6, 2], 3/163840],
    [[1, -5, -5], 541/524288],
    [[2, -6, -8], 9/81920],
    [[6, -4, 2], -9/655360],
    [[-11, -3, -3], -141/2621440],
    [[-5, -5, -3], -241/1310720],
    [[2, 8, -4], -73/655360],
    [[0, -12, -2], 3/327680],
    [[-10, 2, -4], -9/1310720],
    [[3, -3, -3], 1953/2621440],
    [[-4, -4, 2], 257/131072],
    [[-11, 1, -1], -9/524288],
    [[4, 2, -4], -2443/1310720],
    [[4, 2, 2], 9/81920],
    [[4, 4, -4], 221/2621440],
    [[3, 5, -7], 9/327680],
    [[-2, -4, -6], 783/1310720],
    [[6, -4, -4], -147/655360],
    [[0, -10, -6], -9/1310720],
    [[-1, -1, -1], -91/327680],
    [[1, -5, 3], 43/262144],
    [[6, -6, -4], 57/1310720],
    [[3, -1, -3], 21/81920],
    [[9, 3, -1], -57/2621440],
    [[-4, 2, 2], -27/81920],
    [[2, 8, -6], 11/81920],
    [[1, -3, 3], 123/1310720],
    [[-8, 2, -6], 63/1310720],
    [[-2, -4, -10], 15/262144],
    [[1, 9, -1], -9/524288],
    [[-4, 0, 0], -2707/2621440],
    [[5, -1, -1], -449/2621440],
    [[-2, 10, -2], -3/262144],
    [[-6, -4, -10], -9/655360],
    [[-5, -9, -5], 207/1310720],
    [[0, 2, 0], 783/1310720],
    [[-4, 8, -8], 87/2621440],
    [[-1, 7, -7], 259/1310720],
    [[9, -3, -3], 3/2621440],
    [[4, 8, -4], 209/1310720],
    [[-3, 3, -11], 207/1310720],
    [[-5, -3, -9], 231/2621440],
    [[-6, -2, -10], 57/2621440],
    [[-10, -2, 2], 209/1310720],
    [[-4, 6, -10], 3/262144],
    [[-5, -5, 7], -41/2621440],
    [[4, 4, -12], 59/2621440],
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    [[-4, -6, -4], 1033/1310720],
    [[0, -10, -4], 3/81920],
    [[-6, 2, -4], -91/262144],
    [[7, 5, 1], 3/524288],
    [[6, -4, -8], -117/1310720],
    [[2, 10, -2], -63/1310720],
    [[1, -7, 3], -71/2621440],
    [[-5, -7, -3], -423/2621440],
    [[-5, 7, -3], 3/163840],
    [[-7, -5, -5], 43/262144],
    [[-2, 2, -8], 1033/1310720],
    [[4, -8, 2], 3/262144],
    [[7, -1, -5], 287/1310720],
    [[-1, -3, -7], 1953/2621440],
    [[6, 6, -8], 9/1310720],
    [[5, -1, -11], 91/2621440],
    [[6, 4, -10], 9/1310720],
    [[2, 0, -14], 3/327680],
    [[0, -8, -8], 57/2621440],
    [[8, -2, -8], -57/1310720],
    [[-11, -1, -5], 3/2621440],
    [[4, 4, 4], 3/163840],
    [[-9, 1, -3], 15/524288],
    [[-10, -6, 2], 59/2621440],
    [[4, -6, -10], 3/262144],
    [[-2, -2, -6], 979/524288],
    [[0, -6, -8], -189/1310720],
    [[1, -3, -11], 459/2621440],
    [[-10, 0, -2], -57/655360],
    [[3, 9, -7], -41/2621440],
    [[1, -11, 1], -57/2621440],
    [[-5, 5, -9], -21/524288],
    [[-2, 8, 0], -9/1310720],
    [[-2, -2, 10], 3/327680],
    [[9, -3, -1], -9/2621440],
    [[1, -3, 5], 459/2621440],
    [[-12, -4, -4], -63/1310720],
    [[-1, 7, -1], 15/524288],
    [[-7, 3, -1], -459/2621440],
    [[-1, -11, 1], -9/524288],
    [[-4, -6, 2], -579/655360],
    [[2, -6, 0], -27/81920],
    [[-6, 4, 0], 9/81920],
    [[4, -6, -4], -189/1310720],
    [[3, 1, -1], -361/2621440],
    [[5, 5, -7], 3/2621440],
    [[-3, -5, -3], -59/81920],
    [[-10, -2, -2], 319/1310720],
    [[-5, 3, 1], 33/1310720],
    [[4, 2, 0], -27/81920],
    [[-2, 6, -4], 321/655360],
    [[2, -6, 4], -117/1310720],
    [[-1, 9, -3], -93/2621440],
    [[-7, -5, 1], 9/327680],
    [[1, -3, -7], -361/2621440],
    [[-3, -5, -7], -617/2621440],
    [[-6, 0, -4], 1829/1310720],
    [[3, -1, -7], -241/1310720],
    [[6, 6, -4], 37/327680],
    [[-7, -3, -7], -459/2621440],
    [[-13, -3, -3], 3/655360],
    [[0, 0, 0], 979/524288],
    [[-8, 0, 0], -19/524288],
    [[-8, -2, -2], -181/163840],
    [[-3, -3, 9], 3/655360],
    [[-11, 1, -3], 3/2621440],
    [[1, 1, 1], 541/524288],
    [[6, 2, -4], 861/1310720],
    [[-2, 4, -2], 1829/1310720],
    [[-2, 0, 2], -973/655360],
    [[-4, 4, 2], 9/81920],
    [[1, -5, -3], 1953/2621440],
    [[2, -6, -6], 533/2621440],
    [[3, -7, 1], -123/2621440],
    [[-9, -7, -5], -21/1310720],
    [[-6, -4, -4], 1033/1310720],
    [[6, 2, -6], -629/1310720],
    [[6, 6, 2], -3/524288],
    [[4, 0, 0], -323/2621440],
    [[-2, -8, 0], 861/1310720],
    [[2, -6, -2], -323/2621440],
    [[3, -1, 3], -369/2621440],
    [[-7, 1, 1], 43/262144],
    [[3, -9, -5], -27/2621440],
    [[-4, -6, 0], 257/131072],
    [[1, 3, -5], 1529/2621440],
    [[-1, 5, 1], -369/2621440],
    [[-4, -4, -2], 3273/1310720],
    [[-3, -5, -5], -361/2621440],
    [[-2, 2, 0], 783/1310720],
    [[4, 8, 0], 87/2621440],
    [[0, 6, -4], -181/163840],
    [[2, 4, -4], -2443/1310720],
];

// Dual filter m_7
m_7 = [
    [[-11, -9, -9], 9/2621440],
    [[-8, 0, -10], -117/1310720],
    [[1, -1, -5], -361/2621440],
    [[-2, 0, 0], 3273/1310720],
    [[0, -10, -8], -117/1310720],
    [[-6, -6, -6], 2897/2621440],
    [[-3, -1, 3], -833/1310720],
    [[1, -5, 5], 207/1310720],
    [[6, -6, -2], 51/655360],
    [[0, 0, 8], -47/1310720],
    [[1, -9, -3], -369/2621440],
    [[-2, -12, -8], -57/1310720],
    [[1, 1, -3], -241/1310720],
    [[-8, -2, -10], 391/1310720],
    [[-8, 2, -8], -39/655360],
    [[-2, 8, -2], -3/81920],
    [[5, -3, -3], 87/1310720],
    [[4, -6, -4], 15/262144],
    [[0, -10, 2], -9/655360],
    [[-6, -4, -12], -73/655360],
    [[-5, -9, -7], -117/327680],
    [[-2, 6, 0], -73/655360],
    [[-5, 1, 1], 127/655360],
    [[-3, 3, -9], 57/1310720],
    [[4, -6, -2], -147/655360],
    [[4, 2, -6], -117/1310720],
    [[3, -9, 3], 3/524288],
    [[-5, -5, 5], 9/524288],
    [[-4, 0, 6], 3/16384],
    [[-13, -3, -7], -9/524288],
    [[-4, -4, -10], -181/163840],
    [[-6, -6, -4], 3273/1310720],
    [[-5, 1, -7], -617/2621440],
    [[3, -7, 3], -21/524288],
    [[-5, 7, -3], 3/2621440],
    [[-12, -2, -6], 3/16384],
    [[-5, -7, -1], -361/2621440],
    [[-4, 4, -8], 57/2621440],
    [[6, -4, -6], -9/1310720],
    [[-5, -3, 7], 3/2621440],
    [[-2, 2, -6], -323/2621440],
    [[-1, 7, -3], -141/2621440],
    [[-5, -3, -13], -141/2621440],
    [[-8, -8, 0], 109/524288],
    [[1, -9, -11], 3/524288],
    [[1, 1, -11], -9/1310720],
    [[0, 6, -2], -73/655360],
    [[1, -1, -11], -27/2621440],
    [[-9, -7, -11], -1/81920],
    [[0, 0, -6], 13/131072],
    [[-3, -13, -1], 3/2621440],
    [[3, 5, -5], -21/1310720],
    [[-11, -1, 1], -27/2621440],
    [[-15, -3, -5], 3/655360],
    [[1, -3, 1], -241/1310720],
    [[-3, 1, 1], -241/1310720],
    [[-1, -5, 5], 459/2621440],
    [[-14, -6, -4], 3/327680],
    [[-9, 3, -5], 39/2621440],
    [[-3, -1, 1], -59/81920],
    [[-6, 4, 4], 3/262144],
    [[0, -4, -6], 783/1310720],
    [[-6, -8, 2], 9/81920],
    [[-11, -9, 1], 3/524288],
    [[-8, -6, -4], -2443/1310720],
    [[-8, -2, 4], 57/1310720],
    [[1, -7, -5], -617/2621440],
    [[-3, -3, 7], -93/2621440],
    [[-8, -12, -4], 209/1310720],
    [[-1, -11, -5], 459/2621440],
    [[-1, -9, 3], 39/2621440],
    [[-9, 3, -1], 39/2621440],
    [[5, -5, -1], 459/2621440],
    [[-10, -10, -8], 9/1310720],
    [[-6, -10, -2], -19/524288],
    [[-5, 5, 3], -21/1310720],
    [[-2, -6, -4], 1061/655360],
    [[-3, -9, 1], -369/2621440],
    [[-10, -4, -8], -69/131072],
    [[-9, -9, -3], -227/524288],
    [[-4, -4, -6], -785/262144],
    [[-3, -5, 3], -449/2621440],
    [[1, -1, -3], -59/81920],
    [[-3, -7, -11], 259/1310720],
    [[-10, -6, -8], 321/1310720],
    [[-9, -7, -3], -423/2621440],
    [[1, 5, -1], 39/262144],
    [[-2, 6, -4], -57/655360],
    [[4, 0, -4], -19/524288],
    [[-6, 2, -2], -323/2621440],
    [[-2, -4, 6], -57/655360],
    [[-6, 4, -8], -9/655360],
    [[4, 0, 4], -321/2621440],
    [[-2, -6, -14], -63/1310720],
    [[-3, -1, -5], 357/163840],
    [[-4, 0, -6], 783/1310720],
    [[-5, -3, 5], 15/524288],
    [[-7, -9, -1], 43/262144],
    [[-8, -6, -12], -41/1310720],
    [[-7, 1, 5], -21/1310720],
    [[5, 3, -7], 3/524288],
    [[2, 4, 0], 321/1310720],
    [[0, -6, -2], 783/1310720],
    [[-7, -5, -7], 161/163840],
    [[-6, 2, 6], 87/2621440],
    [[2, -2, -4], -973/655360],
    [[-11, -7, -9], -1/81920],
    [[0, 2, -6], -27/81920],
    [[-9, 1, -5], -459/2621440],
    [[-1, -7, -1], 541/524288],
    [[-1, -1, 9], 3/655360],
    [[7, -1, -5], -9/524288],
    [[4, -4, 0], -19/524288],
    [[3, -7, -7], 141/2621440],
    [[4, -8, -2], 57/1310720],
    [[-9, -9, -11], 9/2621440],
    [[-10, 2, -10], -3/524288],
    [[-3, 5, 1], 259/1310720],
    [[6, 0, 2], -41/1310720],
    [[5, 1, 3], -1/81920],
    [[0, 6, 2], -41/1310720],
    [[-4, -2, 4], 321/655360],
    [[3, 1, -3], -423/2621440],
    [[6, 2, 0], -41/1310720],
    [[4, 0, 2], 321/1310720],
    [[-3, 7, -5], 3/2621440],
    [[2, -4, 2], -167/262144],
    [[5, -5, 3], -21/1310720],
    [[7, -5, -3], 3/2621440],
    [[-5, -1, -7], -361/2621440],
    [[-2, -6, -6], -2707/2621440],
    [[0, -8, 4], -111/1310720],
    [[-7, 3, -3], -369/2621440],
    [[-8, 4, -6], -9/655360],
    [[4, 2, 4], 9/1310720],
    [[-10, -8, -10], 9/1310720],
    [[0, -2, 0], 3273/1310720],
    [[0, 4, -6], 15/65536],
    [[-16, -4, -4], 3/327680],
    [[-6, -6, -10], -629/1310720],
    [[-6, 6, -6], -27/2621440],
    [[3, -7, -1], -459/2621440],
    [[0, -4, 0], -2707/2621440],
    [[-4, -10, -6], 861/1310720],
    [[8, -4, -4], -3/262144],
    [[-9, -3, 1], -369/2621440],
    [[7, 1, -1], -29/2621440],
    [[-2, 2, -10], 57/2621440],
    [[-1, -1, 1], 1529/2621440],
    [[-14, -2, -2], -3/262144],
    [[-4, -12, -8], 209/1310720],
    [[-3, -13, -3], -93/2621440],
    [[-4, 0, -10], -147/655360],
    [[10, -2, -2], 3/327680],
    [[-9, -1, -11], -21/1310720],
    [[-5, 3, -9], 39/2621440],
    [[-1, -5, -3], 357/163840],
    [[-13, -7, -5], -29/2621440],
    [[-12, 0, 0], -27/2621440],
    [[-7, -9, -5], -117/327680],
    [[5, -5, -5], 9/524288],
    [[-11, 1, 1], -9/1310720],
    [[-12, 0, -8], 87/2621440],
    [[-6, -12, -8], -41/1310720],
    [[-4, -6, -6], 3273/1310720],
    [[-7, 5, 1], -21/1310720],
    [[-10, 2, 2], 3/163840],
    [[-6, -8, -12], -41/1310720],
    [[-10, -8, -2], 391/1310720],
    [[0, -2, 8], 3/327680],
    [[-8, -2, 0], -91/262144],
    [[-3, -3, -13], -93/2621440],
    [[2, 4, 4], 9/1310720],
    [[-2, -4, -8], -973/655360],
    [[-4, 0, 4], -19/524288],
    [[5, -7, -7], -9/1310720],
    [[-3, -7, -3], 21/81920],
    [[-7, 1, -3], -191/327680],
    [[1, -1, 5], 39/262144],
    [[0, -2, -4], 1061/655360],
    [[-7, -1, 3], -459/2621440],
    [[-8, -4, -2], -973/655360],
    [[-7, 3, 3], -21/524288],
    [[-1, -3, -3], -91/327680],
    [[1, 7, 1], -41/2621440],
    [[2, -10, -10], -3/524288],
    [[-9, -1, -3], -449/2621440],
    [[-7, 5, 3], 3/524288],
    [[-1, -5, -11], 459/2621440],
    [[2, -4, -6], -91/262144],
    [[-3, -11, -1], 15/524288],
    [[-7, 3, -5], 231/2621440],
    [[3, 1, 3], 3/2621440],
    [[5, 1, -3], 259/1310720],
    [[-8, 4, -8], 3/163840],
    [[-3, -7, 3], -369/2621440],
    [[-2, 8, -4], 3/327680],
    [[-5, -7, -3], -59/81920],
    [[-4, 0, 2], 1033/1310720],
    [[-4, -10, -10], 37/327680],
    [[-4, -12, 0], 51/655360],
    [[-9, -5, -5], -213/262144],
    [[-7, -1, -7], 127/655360],
    [[-1, -1, -9], -11/655360],
    [[-1, 7, -1], -25/524288],
    [[-9, -3, -9], -227/524288],
    [[-2, -12, 0], -9/1310720],
    [[2, -2, 4], -69/131072],
    [[-6, 2, -6], 533/2621440],
    [[-8, 4, 0], -111/1310720],
    [[0, -12, -4], 51/655360],
    [[2, -8, 0], 9/81920],
    [[-7, 1, -5], -617/2621440],
    [[-2, -10, -4], 321/655360],
    [[-8, -4, -10], -69/131072],
    [[-1, -3, -11], 15/524288],
    [[2, -10, -2], 57/2621440],
    [[-5, -1, 1], -361/2621440],
    [[-7, -7, -9], 9/327680],
    [[-6, -8, -8], -579/655360],
    [[0, 8, -2], 3/327680],
    [[-6, -2, -8], 1033/1310720],
    [[-5, -11, -3], 287/1310720],
    [[-9, -7, 3], -3/2621440],
    [[-4, -10, -2], 321/655360],
    [[3, -5, -9], 39/2621440],
    [[4, -6, -8], -9/655360],
    [[-11, -7, -1], 207/1310720],
    [[-9, -9, 3], 3/524288],
    [[-10, 0, -8], -117/1310720],
    [[3, -7, -3], -369/2621440],
    [[4, -4, -8], 57/2621440],
    [[-5, 5, -3], 15/524288],
    [[-6, -10, 2], -111/1310720],
    [[-13, -5, -3], -141/2621440],
    [[-10, -10, 0], 3/262144],
    [[-5, -5, -1], 2753/2621440],
    [[-11, -7, 1], -21/1310720],
    [[-1, -7, 3], -459/2621440],
    [[1, -1, -1], 1529/2621440],
    [[-7, -9, -11], -1/81920],
    [[-2, -8, -12], -57/1310720],
    [[1, 5, -7], -21/1310720],
    [[-1, 1, -7], -617/2621440],
    [[-5, -5, -13], -25/524288],
    [[-8, -6, 0], -27/81920],
    [[1, 3, -7], -123/2621440],
    [[0, -4, 6], 3/16384],
    [[-1, -3, -9], -449/2621440],
    [[-8, 0, -4], -323/2621440],
    [[-5, -1, -1], 2753/2621440],
    [[2, 4, -8], 3/262144],
    [[0, -4, -10], -147/655360],
    [[-2, -2, 2], -889/2621440],
    [[-11, -1, -3], 15/524288],
    [[-12, 0, -6], -57/1310720],
    [[0, 0, 6], 11/81920],
    [[-10, -6, 0], 15/65536],
    [[-3, -15, -5], 3/655360],
    [[0, -6, -6], 13/131072],
    [[1, -3, -9], -369/2621440],
    [[-7, -11, -1], 207/1310720],
    [[-5, -13, -1], -9/524288],
    [[-1, 7, 1], -29/2621440],
    [[-12, -6, -2], 3/16384],
    [[7, -5, -5], -9/2621440],
    [[-7, -11, -3], 259/1310720],
    [[-1, -9, -5], 123/1310720],
    [[-2, 0, 2], -2443/1310720],
    [[-12, -4, -6], -73/655360],
    [[-7, -13, -3], -9/524288],
    [[-6, -14, -6], -47/1310720],
    [[-5, 1, 7], -57/2621440],
    [[5, -3, -1], 287/1310720],
    [[-6, -8, 0], -27/81920],
    [[2, -4, -8], -189/1310720],
    [[-5, -5, -5], 783/2621440],
    [[-4, -6, -12], -73/655360],
    [[-3, 9, -3], 3/655360],
    [[-10, -2, -4], 321/655360],
    [[-8, 0, -12], 87/2621440],
    [[-3, -5, -15], 3/655360],
    [[-5, 1, -9], -459/2621440],
    [[-1, -13, -1], -9/2621440],
    [[0, 4, -8], -111/1310720],
    [[1, 7, -1], -29/2621440],
    [[8, 0, -2], 3/327680],
    [[-8, -12, -8], 59/2621440],
    [[-4, -6, -8], -2443/1310720],
    [[1, -9, -5], -459/2621440],
    [[-10, -4, -10], 37/327680],
    [[-8, -2, -8], -167/262144],
    [[1, 1, 3], 9/327680],
    [[-2, -14, -2], -3/262144],
    [[1, -9, 3], -3/2621440],
    [[-8, -8, -8], 1351/2621440],
    [[7, 1, -3], -9/524288],
    [[-6, 6, 2], 87/2621440],
    [[1, -5, -5], 541/524288],
    [[2, -6, -8], 9/81920],
    [[6, -4, 2], -57/1310720],
    [[-11, -5, -9], 107/2621440],
    [[-5, -5, -3], -3461/2621440],
    [[4, -2, 2], -69/131072],
    [[-10, 0, 2], -9/655360],
    [[3, -3, -3], -487/524288],
    [[-4, -4, 2], 1829/1310720],
    [[-11, 1, -1], -27/2621440],
    [[4, 2, -4], 391/1310720],
    [[-3, -11, -7], 259/1310720],
    [[4, 2, 2], -77/1310720],
    [[-9, -11, -7], -1/81920],
    [[-8, -10, -4], -69/131072],
    [[3, 5, -7], 3/524288],
    [[-2, -4, -6], 1061/655360],
    [[-3, -3, -15], 3/655360],
    [[6, -4, -4], 3/81920],
    [[0, -10, -6], 15/65536],
    [[-5, -3, -5], -3461/2621440],
    [[1, -5, 3], 43/262144],
    [[6, -6, -4], -9/1310720],
    [[3, -1, -3], -833/1310720],
    [[-9, -3, -1], -449/2621440],
    [[-4, 2, 2], -167/262144],
    [[-2, -12, -6], 3/16384],
    [[1, -3, 3], -423/2621440],
    [[-2, -4, 8], 3/327680],
    [[-2, -4, -10], 321/655360],
    [[4, -8, 0], -111/1310720],
    [[5, -1, -1], 199/1310720],
    [[-15, -3, -3], 3/655360],
    [[8, 0, 0], -47/1310720],
    [[-5, -9, -5], -213/262144],
    [[0, 2, 0], 257/131072],
    [[3, -3, 5], 91/2621440],
    [[-15, -5, -3], 3/655360],
    [[-14, -6, -6], -47/1310720],
    [[9, -3, -3], 3/655360],
    [[-4, -16, -4], 3/327680],
    [[-7, -3, -11], 259/1310720],
    [[-10, -2, 2], 57/2621440],
    [[-8, 0, 4], -111/1310720],
    [[5, -7, -5], -27/2621440],
    [[1, -7, -11], -21/1310720],
    [[-4, -4, -12], 319/1310720],
    [[6, -2, -4], -57/655360],
    [[-8, -12, -6], -41/1310720],
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