a=20 base=-1*2^10 nz=7 ratio=0.7 coeffs=[-64, 0, 512, 0, 0, -160, -128, 0, 0, 0, -8, 0, 0, 0, -8, -5, 0, 0, 2, 0, 0]
a=4 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (2)/(4k+1) + (2)/(4k+2) + (1)/(4k+3) ]
    coeffs=[1, -2, -2, -1, 0]
a=8 m=4 sign=+1 nz=4 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^4))^k * [ (4)/(8k+1) + (-2)/(8k+4) + (-1)/(8k+5) + (-1)/(8k+6) ]
    coeffs=[1, -4, 0, 0, 2, 1, 1, 0, 0]
a=8 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (4)/(8k+2) + (4)/(8k+4) + (2)/(8k+6) ]
    coeffs=[1, 0, -4, 0, -4, 0, -2, 0, 0]
a=12 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (6)/(12k+3) + (6)/(12k+6) + (3)/(12k+9) ]
    coeffs=[1, 0, 0, -6, 0, 0, -6, 0, 0, -3, 0, 0, 0]
a=12 m=6 sign=-1 nz=7 ratio=1.167 [hit]
    pi = sum_(k>=0) (1/(-2^6))^k * [ (4)/(12k+1) + (-1)/(12k+3) + (-1)/(12k+5) + (-3/2)/(12k+6) + (-1/2)/(12k+7) + (-1/8)/(12k+9) + (1/8)/(12k+11) ]
    coeffs=[8, -32, 0, 8, 0, 8, 12, 4, 0, 1, 0, -1, 0]
a=16 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (8)/(16k+4) + (8)/(16k+8) + (4)/(16k+12) ]
    coeffs=[1, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, -4, 0, 0, 0, 0]
a=16 m=4 sign=+1 nz=4 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^4))^k * [ (8)/(16k+2) + (-4)/(16k+8) + (-2)/(16k+10) + (-2)/(16k+12) ]
    coeffs=[1, 0, -8, 0, 0, 0, 0, 0, 4, 0, 2, 0, 2, 0, 0, 0, 0]
a=16 m=8 sign=+1 nz=8 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^8))^k * [ (4)/(16k+1) + (-2)/(16k+4) + (-1)/(16k+5) + (-1)/(16k+6) + (1/4)/(16k+9) + (-1/8)/(16k+12) + (-1/16)/(16k+13) + (-1/16)/(16k+14) ]
    coeffs=[16, -64, 0, 0, 32, 16, 16, 0, 0, -4, 0, 0, 2, 1, 1, 0, 0]
a=20 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (10)/(20k+5) + (10)/(20k+10) + (5)/(20k+15) ]
    coeffs=[1, 0, 0, 0, 0, -10, 0, 0, 0, 0, -10, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0]
a=24 m=4 sign=+1 nz=4 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^4))^k * [ (12)/(24k+6) + (6)/(24k+9) + (6)/(24k+12) + (-3/2)/(24k+21) ]
    coeffs=[2, 0, 0, 0, 0, 0, -24, 0, 0, -12, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0]
a=24 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (12)/(24k+6) + (12)/(24k+12) + (6)/(24k+18) ]
    coeffs=[1, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0]
a=24 m=6 sign=-1 nz=7 ratio=1.167 [hit]
    pi = sum_(k>=0) (1/(-2^6))^k * [ (8)/(24k+2) + (-2)/(24k+6) + (-2)/(24k+10) + (-3)/(24k+12) + (-1)/(24k+14) + (-1/4)/(24k+18) + (1/4)/(24k+22) ]
    coeffs=[4, 0, -32, 0, 0, 0, 8, 0, 0, 0, 8, 0, 12, 0, 4, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0]
a=28 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (14)/(28k+7) + (14)/(28k+14) + (7)/(28k+21) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0]
a=24 m=12 sign=+1 nz=11 ratio=0.917 [hit]
    pi = sum_(k>=0) (1/(2^12))^k * [ (8)/(24k+2) + (6)/(24k+3) + (-8)/(24k+4) + (-3)/(24k+6) + (-3)/(24k+8) + (1/2)/(24k+10) + (-1/8)/(24k+12) + (-3/32)/(24k+15) + (-3/16)/(24k+16) + (-1/16)/(24k+18) + (-1/32)/(24k+20) ]
    coeffs=[32, 0, -256, -192, 256, 0, 96, 0, 96, 0, -16, 0, 4, 0, 0, 3, 6, 0, 2, 0, 1, 0, 0, 0, 0]
a=32 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (16)/(32k+8) + (16)/(32k+16) + (8)/(32k+24) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0]
a=32 m=4 sign=+1 nz=4 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^4))^k * [ (16)/(32k+8) + (8)/(32k+12) + (8)/(32k+16) + (-2)/(32k+28) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0]
a=32 m=8 sign=+1 nz=8 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^8))^k * [ (8)/(32k+2) + (-4)/(32k+8) + (-2)/(32k+10) + (-2)/(32k+12) + (1/2)/(32k+18) + (-1/4)/(32k+24) + (-1/8)/(32k+26) + (-1/8)/(32k+28) ]
    coeffs=[8, 0, -64, 0, 0, 0, 0, 0, 32, 0, 16, 0, 16, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0]
a=36 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (18)/(36k+9) + (18)/(36k+18) + (9)/(36k+27) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0]
a=32 m=16 sign=+1 nz=16 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^16))^k * [ (4)/(32k+1) + (-2)/(32k+4) + (-1)/(32k+5) + (-1)/(32k+6) + (1/4)/(32k+9) + (-1/8)/(32k+12) + (-1/16)/(32k+13) + (-1/16)/(32k+14) + (1/64)/(32k+17) + (-1/128)/(32k+20) + (-1/256)/(32k+21) + (-1/256)/(32k+22) + (1/1024)/(32k+25) + (-1/2048)/(32k+28) + (-1/4096)/(32k+29) + (-1/4096)/(32k+30) ]
    coeffs=[4096, -16384, 0, 0, 8192, 4096, 4096, 0, 0, -1024, 0, 0, 512, 256, 256, 0, 0, -64, 0, 0, 32, 16, 16, 0, 0, -4, 0, 0, 2, 1, 1, 0, 0]
a=36 m=6 sign=-1 nz=7 ratio=1.167 [hit]
    pi = sum_(k>=0) (1/(-2^6))^k * [ (21)/(36k+9) + (18)/(36k+12) + (-9/2)/(36k+18) + (-3)/(36k+21) + (-9/2)/(36k+24) + (-27/8)/(36k+27) + (3/4)/(36k+33) ]
    coeffs=[8, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, -144, 0, 0, 0, 0, 0, 36, 0, 0, 24, 0, 0, 36, 0, 0, 27, 0, 0, 0, 0, 0, -6, 0, 0, 0]
a=28 m=14 sign=-1 nz=21 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^14))^k * [ (2)/(28k+1) + (2)/(28k+2) + (1)/(28k+3) + (-1/2)/(28k+5) + (-1/2)/(28k+6) + (-1/4)/(28k+7) + (1/8)/(28k+9) + (1/8)/(28k+10) + (1/16)/(28k+11) + (-1/32)/(28k+13) + (-1/32)/(28k+14) + (-1/64)/(28k+15) + (1/128)/(28k+17) + (1/128)/(28k+18) + (1/256)/(28k+19) + (-1/512)/(28k+21) + (-1/512)/(28k+22) + (-1/1024)/(28k+23) + (1/2048)/(28k+25) + (1/2048)/(28k+26) + (1/4096)/(28k+27) ]
    coeffs=[4096, -8192, -8192, -4096, 0, 2048, 2048, 1024, 0, -512, -512, -256, 0, 128, 128, 64, 0, -32, -32, -16, 0, 8, 8, 4, 0, -2, -2, -1, 0]
a=40 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (20)/(40k+10) + (20)/(40k+20) + (10)/(40k+30) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
a=40 m=4 sign=+1 nz=4 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^4))^k * [ (20)/(40k+5) + (-10)/(40k+20) + (-5)/(40k+25) + (-5)/(40k+30) ]
    coeffs=[1, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
a=40 m=10 sign=-1 nz=7 ratio=0.7 [hit]
    pi = sum_(k>=0) (1/(-2^10))^k * [ (16)/(40k+4) + (-5)/(40k+10) + (-4)/(40k+12) + (-1/4)/(40k+20) + (-1/4)/(40k+28) + (-5/32)/(40k+30) + (1/16)/(40k+36) ]
    coeffs=[32, 0, 0, 0, -512, 0, 0, 0, 0, 0, 160, 0, 128, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 5, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0]
a=36 m=18 sign=-1 nz=21 ratio=1.167 [hit]
    pi = sum_(k>=0) (1/(-2^18))^k * [ (4)/(36k+1) + (-1)/(36k+3) + (-1)/(36k+5) + (-3/2)/(36k+6) + (-1/2)/(36k+7) + (-1/8)/(36k+9) + (1/8)/(36k+11) + (-1/16)/(36k+13) + (1/64)/(36k+15) + (1/64)/(36k+17) + (3/128)/(36k+18) + (1/128)/(36k+19) + (1/512)/(36k+21) + (-1/512)/(36k+23) + (1/1024)/(36k+25) + (-1/4096)/(36k+27) + (-1/4096)/(36k+29) + (-3/8192)/(36k+30) + (-1/8192)/(36k+31) + (-1/32768)/(36k+33) + (1/32768)/(36k+35) ]
    coeffs=[32768, -131072, 0, 32768, 0, 32768, 49152, 16384, 0, 4096, 0, -4096, 0, 2048, 0, -512, 0, -512, -768, -256, 0, -64, 0, 64, 0, -32, 0, 8, 0, 8, 12, 4, 0, 1, 0, -1, 0]
a=40 m=20 sign=+1 nz=20 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^20))^k * [ (4)/(40k+1) + (-2)/(40k+4) + (-1)/(40k+5) + (-1)/(40k+6) + (1/4)/(40k+9) + (-1/8)/(40k+12) + (-1/16)/(40k+13) + (-1/16)/(40k+14) + (1/64)/(40k+17) + (-1/128)/(40k+20) + (-1/256)/(40k+21) + (-1/256)/(40k+22) + (1/1024)/(40k+25) + (-1/2048)/(40k+28) + (-1/4096)/(40k+29) + (-1/4096)/(40k+30) + (1/16384)/(40k+33) + (-1/32768)/(40k+36) + (-1/65536)/(40k+37) + (-1/65536)/(40k+38) ]
    coeffs=[65536, -262144, 0, 0, 131072, 65536, 65536, 0, 0, -16384, 0, 0, 8192, 4096, 4096, 0, 0, -1024, 0, 0, 512, 256, 256, 0, 0, -64, 0, 0, 32, 16, 16, 0, 0, -4, 0, 0, 2, 1, 1, 0, 0]
a=44 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (22)/(44k+11) + (22)/(44k+22) + (11)/(44k+33) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
a=48 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (24)/(48k+12) + (24)/(48k+24) + (12)/(48k+36) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
a=48 m=4 sign=+1 nz=4 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^4))^k * [ (24)/(48k+12) + (12)/(48k+18) + (12)/(48k+24) + (-3)/(48k+42) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0]
a=48 m=6 sign=-1 nz=7 ratio=1.167 [hit]
    pi = sum_(k>=0) (1/(-2^6))^k * [ (16)/(48k+4) + (-4)/(48k+12) + (-4)/(48k+20) + (-6)/(48k+24) + (-2)/(48k+28) + (-1/2)/(48k+36) + (1/2)/(48k+44) ]
    coeffs=[2, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 12, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0]
a=48 m=8 sign=+1 nz=8 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^8))^k * [ (12)/(48k+6) + (6)/(48k+9) + (6)/(48k+12) + (-3/2)/(48k+21) + (3/4)/(48k+30) + (3/8)/(48k+33) + (3/8)/(48k+36) + (-3/32)/(48k+45) ]
    coeffs=[32, 0, 0, 0, 0, 0, -384, 0, 0, -192, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -12, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0]
a=48 m=12 sign=+1 nz=15 ratio=1.25 [hit]
    pi = sum_(k>=0) (1/(2^12))^k * [ (8)/(48k+2) + (-4)/(48k+4) + (-6)/(48k+8) + (1)/(48k+10) + (3)/(48k+12) + (3/2)/(48k+14) + (9/2)/(48k+16) + (2)/(48k+18) + (5/4)/(48k+20) + (-1/8)/(48k+26) + (-3/8)/(48k+28) + (-1/64)/(48k+34) + (-1/64)/(48k+36) + (-3/128)/(48k+38) + (-1/32)/(48k+42) ]
    coeffs=[128, 0, -1024, 0, 512, 0, 0, 0, 768, 0, -128, 0, -384, 0, -192, 0, -576, 0, -256, 0, -160, 0, 0, 0, 0, 0, 16, 0, 48, 0, 0, 0, 0, 0, 2, 0, 2, 0, 3, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0]
a=52 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (26)/(52k+13) + (26)/(52k+26) + (13)/(52k+39) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
a=56 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (28)/(56k+14) + (28)/(56k+28) + (14)/(56k+42) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
a=56 m=4 sign=+1 nz=4 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^4))^k * [ (28)/(56k+14) + (14)/(56k+21) + (14)/(56k+28) + (-7/2)/(56k+49) ]
    coeffs=[2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0]
a=56 m=14 sign=-1 nz=21 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^14))^k * [ (4)/(56k+2) + (4)/(56k+4) + (2)/(56k+6) + (-1)/(56k+10) + (-1)/(56k+12) + (-1/2)/(56k+14) + (1/4)/(56k+18) + (1/4)/(56k+20) + (1/8)/(56k+22) + (-1/16)/(56k+26) + (-1/16)/(56k+28) + (-1/32)/(56k+30) + (1/64)/(56k+34) + (1/64)/(56k+36) + (1/128)/(56k+38) + (-1/256)/(56k+42) + (-1/256)/(56k+44) + (-1/512)/(56k+46) + (1/1024)/(56k+50) + (1/1024)/(56k+52) + (1/2048)/(56k+54) ]
    coeffs=[2048, 0, -8192, 0, -8192, 0, -4096, 0, 0, 0, 2048, 0, 2048, 0, 1024, 0, 0, 0, -512, 0, -512, 0, -256, 0, 0, 0, 128, 0, 128, 0, 64, 0, 0, 0, -32, 0, -32, 0, -16, 0, 0, 0, 8, 0, 8, 0, 4, 0, 0, 0, -2, 0, -2, 0, -1, 0, 0]
a=48 m=24 sign=+1 nz=22 ratio=0.917 [hit]
    pi = sum_(k>=0) (1/(2^24))^k * [ (8)/(48k+2) + (6)/(48k+3) + (-8)/(48k+4) + (-3)/(48k+6) + (-3)/(48k+8) + (1/2)/(48k+10) + (-1/8)/(48k+12) + (-3/32)/(48k+15) + (-3/16)/(48k+16) + (-1/16)/(48k+18) + (-1/32)/(48k+20) + (1/512)/(48k+26) + (3/2048)/(48k+27) + (-1/512)/(48k+28) + (-3/4096)/(48k+30) + (-3/4096)/(48k+32) + (1/8192)/(48k+34) + (-1/32768)/(48k+36) + (-3/131072)/(48k+39) + (-3/65536)/(48k+40) + (-1/65536)/(48k+42) + (-1/131072)/(48k+44) ]
    coeffs=[131072, 0, -1048576, -786432, 1048576, 0, 393216, 0, 393216, 0, -65536, 0, 16384, 0, 0, 12288, 24576, 0, 8192, 0, 4096, 0, 0, 0, 0, 0, -256, -192, 256, 0, 96, 0, 96, 0, -16, 0, 4, 0, 0, 3, 6, 0, 2, 0, 1, 0, 0, 0, 0]
a=60 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (30)/(60k+15) + (30)/(60k+30) + (15)/(60k+45) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
a=60 m=6 sign=-1 nz=7 ratio=1.167 [hit]
    pi = sum_(k>=0) (1/(-2^6))^k * [ (35)/(60k+15) + (30)/(60k+20) + (-15/2)/(60k+30) + (-5)/(60k+35) + (-15/2)/(60k+40) + (-45/8)/(60k+45) + (5/4)/(60k+55) ]
    coeffs=[8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 40, 0, 0, 0, 0, 60, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0]
a=60 m=10 sign=-1 nz=11 ratio=1.1 [hit]
    pi = sum_(k>=0) (1/(-2^10))^k * [ (8)/(60k+3) + (4)/(60k+9) + (1/2)/(60k+15) + (-1)/(60k+21) + (1/2)/(60k+27) + (5/8)/(60k+30) + (1/4)/(60k+33) + (-1/8)/(60k+39) + (1/64)/(60k+45) + (1/32)/(60k+51) + (1/64)/(60k+57) ]
    coeffs=[64, 0, 0, -512, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -32, 0, 0, -40, 0, 0, -16, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, 0, 0]
a=44 m=22 sign=-1 nz=33 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^22))^k * [ (2)/(44k+1) + (2)/(44k+2) + (1)/(44k+3) + (-1/2)/(44k+5) + (-1/2)/(44k+6) + (-1/4)/(44k+7) + (1/8)/(44k+9) + (1/8)/(44k+10) + (1/16)/(44k+11) + (-1/32)/(44k+13) + (-1/32)/(44k+14) + (-1/64)/(44k+15) + (1/128)/(44k+17) + (1/128)/(44k+18) + (1/256)/(44k+19) + (-1/512)/(44k+21) + (-1/512)/(44k+22) + (-1/1024)/(44k+23) + (1/2048)/(44k+25) + (1/2048)/(44k+26) + (1/4096)/(44k+27) + (-1/8192)/(44k+29) + (-1/8192)/(44k+30) + (-1/16384)/(44k+31) + (1/32768)/(44k+33) + (1/32768)/(44k+34) + (1/65536)/(44k+35) + (-1/131072)/(44k+37) + (-1/131072)/(44k+38) + (-1/262144)/(44k+39) + (1/524288)/(44k+41) + (1/524288)/(44k+42) + (1/1048576)/(44k+43) ]
    coeffs=[1048576, -2097152, -2097152, -1048576, 0, 524288, 524288, 262144, 0, -131072, -131072, -65536, 0, 32768, 32768, 16384, 0, -8192, -8192, -4096, 0, 2048, 2048, 1024, 0, -512, -512, -256, 0, 128, 128, 64, 0, -32, -32, -16, 0, 8, 8, 4, 0, -2, -2, -1, 0]
a=64 m=2 sign=-1 nz=3 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^2))^k * [ (32)/(64k+16) + (32)/(64k+32) + (16)/(64k+48) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
a=64 m=4 sign=+1 nz=4 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^4))^k * [ (32)/(64k+16) + (16)/(64k+24) + (16)/(64k+32) + (-4)/(64k+56) ]
    coeffs=[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0]
a=64 m=8 sign=+1 nz=8 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^8))^k * [ (16)/(64k+4) + (-8)/(64k+16) + (-4)/(64k+20) + (-4)/(64k+24) + (1)/(64k+36) + (-1/2)/(64k+48) + (-1/4)/(64k+52) + (-1/4)/(64k+56) ]
    coeffs=[4, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
a=56 m=28 sign=+1 nz=28 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^28))^k * [ (4)/(56k+1) + (-2)/(56k+4) + (-1)/(56k+5) + (-1)/(56k+6) + (1/4)/(56k+9) + (-1/8)/(56k+12) + (-1/16)/(56k+13) + (-1/16)/(56k+14) + (1/64)/(56k+17) + (-1/128)/(56k+20) + (-1/256)/(56k+21) + (-1/256)/(56k+22) + (1/1024)/(56k+25) + (-1/2048)/(56k+28) + (-1/4096)/(56k+29) + (-1/4096)/(56k+30) + (1/16384)/(56k+33) + (-1/32768)/(56k+36) + (-1/65536)/(56k+37) + (-1/65536)/(56k+38) + (1/262144)/(56k+41) + (-1/524288)/(56k+44) + (-1/1048576)/(56k+45) + (-1/1048576)/(56k+46) + (1/4194304)/(56k+49) + (-1/8388608)/(56k+52) + (-1/16777216)/(56k+53) + (-1/16777216)/(56k+54) ]
    coeffs=[16777216, -67108864, 0, 0, 33554432, 16777216, 16777216, 0, 0, -4194304, 0, 0, 2097152, 1048576, 1048576, 0, 0, -262144, 0, 0, 131072, 65536, 65536, 0, 0, -16384, 0, 0, 8192, 4096, 4096, 0, 0, -1024, 0, 0, 512, 256, 256, 0, 0, -64, 0, 0, 32, 16, 16, 0, 0, -4, 0, 0, 2, 1, 1, 0, 0]
a=64 m=16 sign=+1 nz=16 ratio=1.0 [hit]
    pi = sum_(k>=0) (1/(2^16))^k * [ (8)/(64k+2) + (-4)/(64k+8) + (-2)/(64k+10) + (-2)/(64k+12) + (1/2)/(64k+18) + (-1/4)/(64k+24) + (-1/8)/(64k+26) + (-1/8)/(64k+28) + (1/32)/(64k+34) + (-1/64)/(64k+40) + (-1/128)/(64k+42) + (-1/128)/(64k+44) + (1/512)/(64k+50) + (-1/1024)/(64k+56) + (-1/2048)/(64k+58) + (-1/2048)/(64k+60) ]
    coeffs=[2048, 0, -16384, 0, 0, 0, 0, 0, 8192, 0, 4096, 0, 4096, 0, 0, 0, 0, 0, -1024, 0, 0, 0, 0, 0, 512, 0, 256, 0, 256, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 32, 0, 16, 0, 16, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0]
a=60 m=30 sign=-1 nz=31 ratio=1.033 [hit]
    pi = sum_(k>=0) (1/(-2^30))^k * [ (4)/(60k+4) + (15/2)/(60k+5) + (3)/(60k+6) + (-1)/(60k+8) + (3/2)/(60k+9) + (5/8)/(60k+10) + (5/8)/(60k+12) + (-5/64)/(60k+15) + (-1/16)/(60k+16) + (-3/64)/(60k+18) + (-3/128)/(60k+20) + (-3/128)/(60k+21) + (-5/512)/(60k+24) + (-15/2048)/(60k+25) + (1/1024)/(60k+28) + (1/8192)/(60k+30) + (-1/4096)/(60k+32) + (3/8192)/(60k+33) + (5/65536)/(60k+35) + (5/32768)/(60k+36) + (3/131072)/(60k+40) + (-3/262144)/(60k+42) + (1/262144)/(60k+44) + (3/2097152)/(60k+45) + (-5/2097152)/(60k+48) + (5/8388608)/(60k+50) + (1/4194304)/(60k+52) + (3/16777216)/(60k+54) + (-5/67108864)/(60k+55) + (-1/16777216)/(60k+56) + (3/33554432)/(60k+57) ]
    coeffs=[67108864, 0, 0, 0, -268435456, -503316480, -201326592, 0, 67108864, -100663296, -41943040, 0, -41943040, 0, 0, 5242880, 4194304, 0, 3145728, 0, 1572864, 1572864, 0, 0, 655360, 491520, 0, 0, -65536, 0, -8192, 0, 16384, -24576, 0, -5120, -10240, 0, 0, 0, -1536, 0, 768, 0, -256, -96, 0, 0, 160, 0, -40, 0, -16, 0, -12, 5, 4, -6, 0, 0, 0]
a=52 m=26 sign=-1 nz=39 ratio=1.5 [hit]
    pi = sum_(k>=0) (1/(-2^26))^k * [ (2)/(52k+1) + (2)/(52k+2) + (1)/(52k+3) + (-1/2)/(52k+5) + (-1/2)/(52k+6) + (-1/4)/(52k+7) + (1/8)/(52k+9) + (1/8)/(52k+10) + (1/16)/(52k+11) + (-1/32)/(52k+13) + (-1/32)/(52k+14) + (-1/64)/(52k+15) + (1/128)/(52k+17) + (1/128)/(52k+18) + (1/256)/(52k+19) + (-1/512)/(52k+21) + (-1/512)/(52k+22) + (-1/1024)/(52k+23) + (1/2048)/(52k+25) + (1/2048)/(52k+26) + (1/4096)/(52k+27) + (-1/8192)/(52k+29) + (-1/8192)/(52k+30) + (-1/16384)/(52k+31) + (1/32768)/(52k+33) + (1/32768)/(52k+34) + (1/65536)/(52k+35) + (-1/131072)/(52k+37) + (-1/131072)/(52k+38) + (-1/262144)/(52k+39) + (1/524288)/(52k+41) + (1/524288)/(52k+42) + (1/1048576)/(52k+43) + (-1/2097152)/(52k+45) + (-1/2097152)/(52k+46) + (-1/4194304)/(52k+47) + (1/8388608)/(52k+49) + (1/8388608)/(52k+50) + (1/16777216)/(52k+51) ]
    coeffs=[16777216, -33554432, -33554432, -16777216, 0, 8388608, 8388608, 4194304, 0, -2097152, -2097152, -1048576, 0, 524288, 524288, 262144, 0, -131072, -131072, -65536, 0, 32768, 32768, 16384, 0, -8192, -8192, -4096, 0, 2048, 2048, 1024, 0, -512, -512, -256, 0, 128, 128, 64, 0, -32, -32, -16, 0, 8, 8, 4, 0, -2, -2, -1, 0]