Hi!
I'm using sage for differential equation problems. My college uses
maple, but I'd rather use sage.
I'm having trouble with eulers method for the diff. eqn. dy/dx = cos
(x) - sin(x) - y.
This is my code up till now:
sage: x,y = PolynomialRing(RR,2,"xy").gens()
sage: dy_dxB = cos(x) - sin(x) - y
sage: f(x,y)
-y - sin(x) + cos(x)
sage: eulers_method(f,0,2,.1,3)
WARNING: Output truncated!
full_output.txt
x y h*f(x,y)
0 2 -0.100000000000000
0.100000000000000 1.90000000000000
-0.100000000000000*sin(0.100000000000000) +
0.100000000000000*cos(0.100000000000000) - 0.190000000000000
0.200000000000000 -0.100000000000000*sin(0.100000000000000) +
0.100000000000000*cos(0.100000000000000) + 1.71000000000000
0.0100000000000000*sin(0.100000000000000) -
0.100000000000000*sin(0.200000000000000) -
0.0100000000000000*cos(0.100000000000000) +
0.100000000000000*cos(0.200000000000000) - 0.171000000000000
0.300000000000000 -0.0900000000000000*sin(0.100000000000000) -
0.100000000000000*sin(0.200000000000000) +
0.0900000000000000*cos(0.100000000000000) +
0.100000000000000*cos(0.200000000000000) + 1.53900000000000
0.00900000000000000*sin(0.100000000000000) +
0.0100000000000000*sin(0.200000000000000) -
0.100000000000000*sin(0.300000000000000) -
0.00900000000000000*cos(0.100000000000000) -
0.0100000000000000*cos(0.200000000000000) +
0.100000000000000*cos(0.300000000000000) - 0.153900000000000
0.400000000000000 -0.0810000000000000*sin(0.100000000000000) -
0.0900000000000000*sin(0.200000000000000) -
0.100000000000000*sin(0.300000000000000) +
0.0810000000000000*cos(0.100000000000000) +
0.0900000000000000*cos(0.200000000000000) +
0.100000000000000*cos(0.300000000000000) + 1.38510000000000
0.00810000000000000*sin(0.100000000000000) +
0.00900000000000000*sin(0.200000000000000) +
0.0100000000000000*sin(0.300000000000000) -
0.100000000000000*sin(0.400000000000000) -
0.00810000000000000*cos(0.100000000000000) -
0.00900000000000000*cos(0.200000000000000) -
0.0100000000000000*cos(0.300000000000000) +
0.100000000000000*cos(0.400000000000000) - 0.138510000000000
0.500000000000000 -0.0729000000000000*sin(0.100000000000000) -
0.0810000000000000*sin(0.200000000000000) -
0.0900000000000000*sin(0.300000000000000) -
0.100000000000000*sin(0.400000000000000) +
0.0729000000000000*cos(0.100000000000000) +
0.0810000000000000*cos(0.200000000000000) +
0.0900000000000000*cos(0.300000000000000) +
0.100000000000000*cos(0.400000000000000) + 1.24659000000000
0.00729000000000000*sin(0.100000000000000) +
0.00810000000000000*sin(0.200000000000000) +
0.00900000000000000*sin(0.300000000000000) +
0.0100000000000000*sin(0.400000000000000) -
0.100000000000000*sin(0.500000000000000) -
0.00729000000000000*cos(0.100000000000000) -
0.00810000000000000*cos(0.200000000000000) -
0.00900000000000000*cos(0.300000000000000) -
0.0100000000000000*cos(0.400000000000000) +
0.100000000000000*cos(0.500000000000000) - 0.124659000000000
0.600000000000000 -0.0656100000000000*sin(0.100000000000000) -
0.0729000000000000*sin(0.200000000000000) -
0.0810000000000000*sin(0.300000000000000) -
0.0900000000000000*sin(0.400000000000000) -
0.100000000000000*sin(0.500000000000000) +
0.0656100000000000*cos(0.100000000000000) +
0.0729000000000000*cos(0.200000000000000) +
0.0810000000000000*cos(0.300000000000000) +
0.0900000000000000*cos(0.400000000000000) +
0.100000000000000*cos(0.500000000000000) + 1.12193100000000
0.00656100000000000*sin(0.100000000000000) +
0.00729000000000000*sin(0.200000000000000) +
0.00810000000000000*sin(0.300000000000000) +
0.00900000000000000*sin(0.400000000000000) +
0.0100000000000000*sin(0.500000000000000) -
0.100000000000000*sin(0.600000000000000) -
0.00656100000000000*cos(0.100000000000000) -
0.00729000000000000*cos(0.200000000000000) -
0.00810000000000000*cos(0.300000000000000) -
0.00900000000000000*cos(0.400000000000000) -
0.0100000000000000*cos(0.500000000000000) +
0.100000000000000*cos(0.600000000000000) - 0.112193100000000
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0.0656100000000000*sin(0.200000000000000) -
0.0729000000000000*sin(0.300000000000000) -
0.0810000000000000*sin(0.400000000000000) -
0.0900000000000000*sin(0.500000000000000) -
0.100000000000000*sin(0.600000000000000) +
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0.00810000000000000*sin(0.400000000000000) +
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0.0100000000000000*sin(0.600000000000000) -
0.100000000000000*sin(0.700000000000000) -
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0.00656100000000000*cos(0.200000000000000) -
0.00729000000000000*cos(0.300000000000000) -
0.00810000000000000*cos(0.400000000000000) -
0.00900000000000000*cos(0.500000000000000) -
0.0100000000000000*cos(0.600000000000000) +
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0.0590490000000000*sin(0.200000000000000) -
0.0656100000000000*sin(0.300000000000000) -
0.0729000000000000*sin(0.400000000000000) -
0.0810000000000000*sin(0.500000000000000) -
0.0900000000000000*sin(0.600000000000000) -
0.100000000000000*sin(0.700000000000000) +
0.0531441000000000*cos(0.100000000000000) +
0.0590490000000000*cos(0.200000000000000) +
0.0656100000000000*cos(0.300000000000000) +
0.0729000000000000*cos(0.400000000000000) +
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0.00729000000000000*sin(0.400000000000000) +
0.00810000000000000*sin(0.500000000000000) +
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0.0100000000000000*sin(0.700000000000000) -
0.100000000000000*sin(0.800000000000000) -
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0.0590490000000000*sin(0.300000000000000) -
0.0656100000000000*sin(0.400000000000000) -
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0.0810000000000000*sin(0.600000000000000) -
0.0900000000000000*sin(0.700000000000000) -
0.100000000000000*sin(0.800000000000000) +
0.0478296900000000*cos(0.100000000000000) +
0.0531441000000000*cos(0.200000000000000) +
0.0590490000000000*cos(0.300000000000000) +
0.0656100000000000*cos(0.400000000000000) +
0.0729000000000000*cos(0.500000000000000) +
0.0810000000000000*cos(0.600000000000000) +
0.0900000000000000*cos(0.700000000000000) +
0.100000000000000*cos(0.800000000000000) + 0.817887699000000
0.00478296900000000*sin(0.100000000000000) +
0.00531441000000000*sin(0.200000000000000) +
0.00590490000000000*sin(0.300000000000000) +
0.00656100000000000*sin(0.400000000000000) +
0.00729000000000000*sin(0.500000000000000) +
0.00810000000000000*sin(0.600000000000000) +
0.00900000000000000*sin(0.700000000000000) +
0.0100000000000000*sin(0.800000000000000) -
0.100000000000000*sin(0.900000000000000) -
0.00478296900000000*cos(0.100000000000000) -
0.00531441000000000*cos(0.200000000000000) -
0.00590490000000000*cos(0.300000000000000) -
0.00656100000000000*cos(0.400000000000000) -
0.00729000000000000*cos(0.500000000000000) -
0.00810000000000000*cos(0.600000000000000) -
0.00900000000000000*cos(0.700000000000000) -
0.0100000000000000*cos(0.800000000000000) +
0.100000000000000*cos(0.900000000000000) - 0.0817887699000000
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0.0478296900000000*sin(0.200000000000000) -
0.0531441000000000*sin(0.300000000000000) -
0.0590490000000000*sin(0.400000000000000) -
0.0656100000000000*sin(0.500000000000000) -
0.0729000000000000*sin(0.600000000000000) -
0.0810000000000000*sin(0.700000000000000) -
0.0900000000000000*sin(0.800000000000000) -
0.100000000000000*sin(0.900000000000000) +
0.0430467210000000*cos(0.100000000000000) +
0.0478296900000000*cos(0.200000000000000) +
0.0531441000000000*cos(0.300000000000000) +
0.0590490000000000*cos(0.400000000000000) +
0.0656100000000000*cos(0.500000000000000) +
0.0729000000000000*cos(0.600000000000000) +
0.0810000000000000*cos(0.700000000000000) +
0.0900000000000000*cos(0.800000000000000) +
0.100000000000000*cos(0.900000000000000) + 0.736098929100000
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0.00590490000000000*sin(0.400000000000000) +
0.00656100000000000*sin(0.500000000000000) +
0.00729000000000000*sin(0.600000000000000) +
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0.100000000000000*sin(1.00000000000000) -
0.00430467210000000*cos(0.100000000000000) -
0.00478296900000000*cos(0.200000000000000) -
0.00531441000000000*cos(0.300000000000000) -
0.00590490000000000*cos(0.400000000000000) -
0.00656100000000000*cos(0.500000000000000) -
0.00729000000000000*cos(0.600000000000000) -
0.00810000000000000*cos(0.700000000000000) -
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0.0478296900000000*sin(0.300000000000000) -
0.0531441000000000*sin(0.400000000000000) -
0.0590490000000000*sin(0.500000000000000) -
0.0656100000000000*sin(0.600000000000000) -
0.0729000000000000*sin(0.700000000000000) -
0.0810000000000000*sin(0.800000000000000) -
0.0900000000000000*sin(0.900000000000000) -
0.100000000000000*sin(1.00000000000000) +
0.0387420489000000*cos(0.100000000000000) +
0.0430467210000000*cos(0.200000000000000) +
0.0478296900000000*cos(0.300000000000000) +
0.0531441000000000*cos(0.400000000000000) +
0.0590490000000000*cos(0.500000000000000) +
0.0656100000000000*cos(0.600000000000000) +
0.0729000000000000*cos(0.700000000000000) +
0.0810000000000000*cos(0.800000000000000) +
0.0900000000000000*cos(0.900000000000000) +
0.100000000000000*cos(1.00000000000000) + 0.662489036190000
0.00387420489000000*sin(0.100000000000000) +
0.00430467210000000*sin(0.200000000000000) +
0.00478296900000000*sin(0.300000000000000) +
0.00531441000000000*sin(0.400000000000000) +
0.00590490000000000*sin(0.500000000000000) +
0.00656100000000000*sin(0.600000000000000) +
0.00729000000000000*sin(0.700000000000000) +
0.00810000000000000*sin(0.800000000000000) +
0.00900000000000000*sin(0.900000000000000) +
0.0100000000000000*sin(1.00000000000000) -
0.100000000000000*sin(1.10000000000000) -
0.00387420489000000*cos(0.100000000000000) -
0.00430467210000000*cos(0.200000000000000) -
0.00478296900000000*cos(0.300000000000000) -
0.00531441000000000*cos(0.400000000000000) -
0.00590490000000000*cos(0.500000000000000) -
0.00656100000000000*cos(0.600000000000000) -
0.00729000000000000*cos(0.700000000000000) -
0.00810000000000000*cos(0.800000000000000) -
0.00900000000000000*cos(0.900000000000000) -
0.0100000000000000*cos(1.00000000000000) +
0.100000000000000*cos(1.10000000000000) - 0.0662489036190000
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0.0387420489000000*sin(0.200000000000000) -
0.0430467210000000*sin(0.300000000000000) -
0.0478296900000000*sin(0.400000000000000) -
0.0531441000000000*sin(0.500000000000000) -
0.0590490000000000*sin(0.600000000000000) -
0.0656100000000000*sin(0.700000000000000) -
0.0729000000000000*sin(0.800000000000000) -
0.0810000000000000*sin(0.900000000000000) -
0.0900000000000000*sin(1.00000000000000) -
0.100000000000000*sin(1.10000000000000) +
0.0348678440100000*cos(0.100000000000000) +
0.0387420489000000*cos(0.200000000000000) +
0.0430467210000000*cos(0.300000000000000) +
0.0478296900000000*cos(0.400000000000000) +
0.0531441000000000*cos(0.500000000000000) +
0.0590490000000000*cos(0.600000000000000) +
0.0656100000000000*cos(0.700000000000000) +
0.0729000000000000*cos(0.800000000000000) +
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0.0900000000000000*cos(1.00000000000000) +
0.100000000000000*cos(1.10000000000000) + 0.596240132571000
0.00348678440100000*sin(0.100000000000000) +
0.00387420489000000*sin(0.200000000000000) +
0.00430467210000000*sin(0.300000000000000) +
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0.00531441000000000*sin(0.500000000000000) +
0.00590490000000000*sin(0.600000000000000) +
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0.00729000000000000*sin(0.800000000000000) +
0.00810000000000000*sin(0.900000000000000) +
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0.100000000000000*sin(1.20000000000000) -
0.00348678440100000*cos(0.100000000000000) -
0.00387420489000000*cos(0.200000000000000) -
0.00430467210000000*cos(0.300000000000000) -
0.00478296900000000*cos(0.400000000000000) -
0.00531441000000000*cos(0.500000000000000) -
0.00590490000000000*cos(0.600000000000000) -
0.00656100000000000*cos(0.700000000000000) -
0.00729000000000000*cos(0.800000000000000) -
0.00810000000000000*cos(0.900000000000000) -
0.00900000000000000*cos(1.00000000000000) -
0.0100000000000000*cos(1.10000000000000) +
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0.0430467210000000*sin(0.400000000000000) -
0.0478296900000000*sin(0.500000000000000) -
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0.100000000000000*sin(1.20000000000000) +
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0.0430467210000000*cos(0.400000000000000) +
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0.100000000000000*sin(1.30000000000000) -
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0.00348678440100000*cos(0.200000000000000) -
0.00387420489000000*cos(0.300000000000000) -
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0.00478296900000000*cos(0.500000000000000) -
0.00531441000000000*cos(0.600000000000000) -
0.00590490000000000*cos(0.700000000000000) -
0.00656100000000000*cos(0.800000000000000) -
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0.00900000000000000*cos(1.10000000000000) -
0.0100000000000000*cos(1.20000000000000) +
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0.0313810596090000*sin(0.200000000000000) -
0.0348678440100000*sin(0.300000000000000) -
0.0387420489000000*sin(0.400000000000000) -
0.0430467210000000*sin(0.500000000000000) - 0.047829690000
...
8885184*cos(1.00000000000000) -
0.00205891132094649*cos(1.10000000000000) -
0.00228767924549610*cos(1.20000000000000) -
0.00254186582832900*cos(1.30000000000000) -
0.00282429536481000*cos(1.40000000000000) -
0.00313810596090000*cos(1.50000000000000) -
0.00348678440100000*cos(1.60000000000000) -
0.00387420489000000*cos(1.70000000000000) -
0.00430467210000000*cos(1.80000000000000) -
0.00478296900000000*cos(1.90000000000000) -
0.00531441000000000*cos(2.00000000000000) -
0.00590490000000000*cos(2.10000000000000) -
0.00656100000000000*cos(2.20000000000000) -
0.00729000000000000*cos(2.30000000000000) -
0.00810000000000000*cos(2.40000000000000) -
0.00900000000000000*cos(2.50000000000000) -
0.0100000000000000*cos(2.60000000000000) +
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0.0656100000000000*sin(2.30000000000000) -
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0.0900000000000000*sin(2.60000000000000) -
0.100000000000000*sin(2.70000000000000) +
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0.0254186582832900*cos(1.40000000000000) +
0.0282429536481000*cos(1.50000000000000) +
0.0313810596090000*cos(1.60000000000000) +
0.0348678440100000*cos(1.70000000000000) +
0.0387420489000000*cos(1.80000000000000) +
0.0430467210000000*cos(1.90000000000000) +
0.0478296900000000*cos(2.00000000000000) +
0.0531441000000000*cos(2.10000000000000) +
0.0590490000000000*cos(2.20000000000000) +
0.0656100000000000*cos(2.30000000000000) +
0.0729000000000000*cos(2.40000000000000) +
0.0810000000000000*cos(2.50000000000000) +
0.0900000000000000*cos(2.60000000000000) +
0.100000000000000*cos(2.70000000000000) + 0.110484500305776
0.000646108188922668*sin(0.100000000000000) +
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0.000797664430768725*sin(0.300000000000000) +
0.000886293811965250*sin(0.400000000000000) +
0.000984770902183612*sin(0.500000000000000) +
0.00109418989131512*sin(0.600000000000000) +
0.00121576654590569*sin(0.700000000000000) +
0.00135085171767299*sin(0.800000000000000) +
0.00150094635296999*sin(0.900000000000000) +
0.00166771816996666*sin(1.00000000000000) +
0.00185302018885184*sin(1.10000000000000) +
0.00205891132094649*sin(1.20000000000000) +
0.00228767924549610*sin(1.30000000000000) +
0.00254186582832900*sin(1.40000000000000) +
0.00282429536481000*sin(1.50000000000000) +
0.00313810596090000*sin(1.60000000000000) +
0.00348678440100000*sin(1.70000000000000) +
0.00387420489000000*sin(1.80000000000000) +
0.00430467210000000*sin(1.90000000000000) +
0.00478296900000000*sin(2.00000000000000) +
0.00531441000000000*sin(2.10000000000000) +
0.00590490000000000*sin(2.20000000000000) +
0.00656100000000000*sin(2.30000000000000) +
0.00729000000000000*sin(2.40000000000000) +
0.00810000000000000*sin(2.50000000000000) +
0.00900000000000000*sin(2.60000000000000) +
0.0100000000000000*sin(2.70000000000000) -
0.100000000000000*sin(2.80000000000000) -
0.000646108188922668*cos(0.100000000000000) -
0.000717897987691853*cos(0.200000000000000) -
0.000797664430768725*cos(0.300000000000000) -
0.000886293811965250*cos(0.400000000000000) -
0.000984770902183612*cos(0.500000000000000) -
0.00109418989131512*cos(0.600000000000000) -
0.00121576654590569*cos(0.700000000000000) -
0.00135085171767299*cos(0.800000000000000) -
0.00150094635296999*cos(0.900000000000000) -
0.00166771816996666*cos(1.00000000000000) -
0.00185302018885184*cos(1.10000000000000) -
0.00205891132094649*cos(1.20000000000000) -
0.00228767924549610*cos(1.30000000000000) -
0.00254186582832900*cos(1.40000000000000) -
0.00282429536481000*cos(1.50000000000000) -
0.00313810596090000*cos(1.60000000000000) -
0.00348678440100000*cos(1.70000000000000) -
0.00387420489000000*cos(1.80000000000000) -
0.00430467210000000*cos(1.90000000000000) -
0.00478296900000000*cos(2.00000000000000) -
0.00531441000000000*cos(2.10000000000000) -
0.00590490000000000*cos(2.20000000000000) -
0.00656100000000000*cos(2.30000000000000) -
0.00729000000000000*cos(2.40000000000000) -
0.00810000000000000*cos(2.50000000000000) -
0.00900000000000000*cos(2.60000000000000) -
0.0100000000000000*cos(2.70000000000000) +
0.100000000000000*cos(2.80000000000000) - 0.0110484500305776
2.90000000000000 -0.00581497370030401*sin(0.100000000000000) -
0.00646108188922668*sin(0.200000000000000) -
0.00717897987691853*sin(0.300000000000000) -
0.00797664430768725*sin(0.400000000000000) -
0.00886293811965250*sin(0.500000000000000) -
0.00984770902183612*sin(0.600000000000000) -
0.0109418989131512*sin(0.700000000000000) -
0.0121576654590569*sin(0.800000000000000) -
0.0135085171767299*sin(0.900000000000000) -
0.0150094635296999*sin(1.00000000000000) -
0.0166771816996666*sin(1.10000000000000) -
0.0185302018885184*sin(1.20000000000000) -
0.0205891132094649*sin(1.30000000000000) -
0.0228767924549610*sin(1.40000000000000) -
0.0254186582832900*sin(1.50000000000000) -
0.0282429536481000*sin(1.60000000000000) -
0.0313810596090000*sin(1.70000000000000) -
0.0348678440100000*sin(1.80000000000000) -
0.0387420489000000*sin(1.90000000000000) -
0.0430467210000000*sin(2.00000000000000) -
0.0478296900000000*sin(2.10000000000000) -
0.0531441000000000*sin(2.20000000000000) -
0.0590490000000000*sin(2.30000000000000) -
0.0656100000000000*sin(2.40000000000000) -
0.0729000000000000*sin(2.50000000000000) -
0.0810000000000000*sin(2.60000000000000) -
0.0900000000000000*sin(2.70000000000000) -
0.100000000000000*sin(2.80000000000000) +
0.00581497370030401*cos(0.100000000000000) +
0.00646108188922668*cos(0.200000000000000) +
0.00717897987691853*cos(0.300000000000000) +
0.00797664430768725*cos(0.400000000000000) +
0.00886293811965250*cos(0.500000000000000) +
0.00984770902183612*cos(0.600000000000000) +
0.0109418989131512*cos(0.700000000000000) +
0.0121576654590569*cos(0.800000000000000) +
0.0135085171767299*cos(0.900000000000000) +
0.0150094635296999*cos(1.00000000000000) +
0.0166771816996666*cos(1.10000000000000) +
0.0185302018885184*cos(1.20000000000000) +
0.0205891132094649*cos(1.30000000000000) +
0.0228767924549610*cos(1.40000000000000) +
0.0254186582832900*cos(1.50000000000000) +
0.0282429536481000*cos(1.60000000000000) +
0.0313810596090000*cos(1.70000000000000) +
0.0348678440100000*cos(1.80000000000000) +
0.0387420489000000*cos(1.90000000000000) +
0.0430467210000000*cos(2.00000000000000) +
0.0478296900000000*cos(2.10000000000000) +
0.0531441000000000*cos(2.20000000000000) +
0.0590490000000000*cos(2.30000000000000) +
0.0656100000000000*cos(2.40000000000000) +
0.0729000000000000*cos(2.50000000000000) +
0.0810000000000000*cos(2.60000000000000) +
0.0900000000000000*cos(2.70000000000000) +
0.100000000000000*cos(2.80000000000000) + 0.0994360502751985
0.000581497370030401*sin(0.100000000000000) +
0.000646108188922668*sin(0.200000000000000) +
0.000717897987691853*sin(0.300000000000000) +
0.000797664430768725*sin(0.400000000000000) +
0.000886293811965250*sin(0.500000000000000) +
0.000984770902183612*sin(0.600000000000000) +
0.00109418989131512*sin(0.700000000000000) +
0.00121576654590569*sin(0.800000000000000) +
0.00135085171767299*sin(0.900000000000000) +
0.00150094635296999*sin(1.00000000000000) +
0.00166771816996666*sin(1.10000000000000) +
0.00185302018885184*sin(1.20000000000000) +
0.00205891132094649*sin(1.30000000000000) +
0.00228767924549610*sin(1.40000000000000) +
0.00254186582832900*sin(1.50000000000000) +
0.00282429536481000*sin(1.60000000000000) +
0.00313810596090000*sin(1.70000000000000) +
0.00348678440100000*sin(1.80000000000000) +
0.00387420489000000*sin(1.90000000000000) +
0.00430467210000000*sin(2.00000000000000) +
0.00478296900000000*sin(2.10000000000000) +
0.00531441000000000*sin(2.20000000000000) +
0.00590490000000000*sin(2.30000000000000) +
0.00656100000000000*sin(2.40000000000000) +
0.00729000000000000*sin(2.50000000000000) +
0.00810000000000000*sin(2.60000000000000) +
0.00900000000000000*sin(2.70000000000000) +
0.0100000000000000*sin(2.80000000000000) -
0.100000000000000*sin(2.90000000000000) -
0.000581497370030401*cos(0.100000000000000) -
0.000646108188922668*cos(0.200000000000000) -
0.000717897987691853*cos(0.300000000000000) -
0.000797664430768725*cos(0.400000000000000) -
0.000886293811965250*cos(0.500000000000000) -
0.000984770902183612*cos(0.600000000000000) -
0.00109418989131512*cos(0.700000000000000) -
0.00121576654590569*cos(0.800000000000000) -
0.00135085171767299*cos(0.900000000000000) -
0.00150094635296999*cos(1.00000000000000) -
0.00166771816996666*cos(1.10000000000000) -
0.00185302018885184*cos(1.20000000000000) -
0.00205891132094649*cos(1.30000000000000) -
0.00228767924549610*cos(1.40000000000000) -
0.00254186582832900*cos(1.50000000000000) -
0.00282429536481000*cos(1.60000000000000) -
0.00313810596090000*cos(1.70000000000000) -
0.00348678440100000*cos(1.80000000000000) -
0.00387420489000000*cos(1.90000000000000) -
0.00430467210000000*cos(2.00000000000000) -
0.00478296900000000*cos(2.10000000000000) -
0.00531441000000000*cos(2.20000000000000) -
0.00590490000000000*cos(2.30000000000000) -
0.00656100000000000*cos(2.40000000000000) -
0.00729000000000000*cos(2.50000000000000) -
0.00810000000000000*cos(2.60000000000000) -
0.00900000000000000*cos(2.70000000000000) -
0.0100000000000000*cos(2.80000000000000) +
0.100000000000000*cos(2.90000000000000) - 0.00994360502751985
3.00000000000000 -0.00523347633027361*sin(0.100000000000000) -
0.00581497370030401*sin(0.200000000000000) -
0.00646108188922668*sin(0.300000000000000) -
0.00717897987691853*sin(0.400000000000000) -
0.00797664430768725*sin(0.500000000000000) -
0.00886293811965250*sin(0.600000000000000) -
0.00984770902183612*sin(0.700000000000000) -
0.0109418989131512*sin(0.800000000000000) -
0.0121576654590569*sin(0.900000000000000) -
0.0135085171767299*sin(1.00000000000000) -
0.0150094635296999*sin(1.10000000000000) -
0.0166771816996666*sin(1.20000000000000) -
0.0185302018885184*sin(1.30000000000000) -
0.0205891132094649*sin(1.40000000000000) -
0.0228767924549610*sin(1.50000000000000) -
0.0254186582832900*sin(1.60000000000000) -
0.0282429536481000*sin(1.70000000000000) -
0.0313810596090000*sin(1.80000000000000) -
0.0348678440100000*sin(1.90000000000000) -
0.0387420489000000*sin(2.00000000000000) -
0.0430467210000000*sin(2.10000000000000) -
0.0478296900000000*sin(2.20000000000000) -
0.0531441000000000*sin(2.30000000000000) -
0.0590490000000000*sin(2.40000000000000) -
0.0656100000000000*sin(2.50000000000000) -
0.0729000000000000*sin(2.60000000000000) -
0.0810000000000000*sin(2.70000000000000) -
0.0900000000000000*sin(2.80000000000000) -
0.100000000000000*sin(2.90000000000000) +
0.00523347633027361*cos(0.100000000000000) +
0.00581497370030401*cos(0.200000000000000) +
0.00646108188922668*cos(0.300000000000000) +
0.00717897987691853*cos(0.400000000000000) +
0.00797664430768725*cos(0.500000000000000) +
0.00886293811965250*cos(0.600000000000000) +
0.00984770902183612*cos(0.700000000000000) +
0.0109418989131512*cos(0.800000000000000) +
0.0121576654590569*cos(0.900000000000000) +
0.0135085171767299*cos(1.00000000000000) +
0.0150094635296999*cos(1.10000000000000) +
0.0166771816996666*cos(1.20000000000000) +
0.0185302018885184*cos(1.30000000000000) +
0.0205891132094649*cos(1.40000000000000) +
0.0228767924549610*cos(1.50000000000000) +
0.0254186582832900*cos(1.60000000000000) +
0.0282429536481000*cos(1.70000000000000) +
0.0313810596090000*cos(1.80000000000000) +
0.0348678440100000*cos(1.90000000000000) +
0.0387420489000000*cos(2.00000000000000) +
0.0430467210000000*cos(2.10000000000000) +
0.0478296900000000*cos(2.20000000000000) +
0.0531441000000000*cos(2.30000000000000) +
0.0590490000000000*cos(2.40000000000000) +
0.0656100000000000*cos(2.50000000000000) +
0.0729000000000000*cos(2.60000000000000) +
0.0810000000000000*cos(2.70000000000000) +
0.0900000000000000*cos(2.80000000000000) +
0.100000000000000*cos(2.90000000000000) + 0.0894924452476786
0.000523347633027361*sin(0.100000000000000) +
0.000581497370030401*sin(0.200000000000000) +
0.000646108188922668*sin(0.300000000000000) +
0.000717897987691853*sin(0.400000000000000) +
0.000797664430768725*sin(0.500000000000000) +
0.000886293811965250*sin(0.600000000000000) +
0.000984770902183612*sin(0.700000000000000) +
0.00109418989131512*sin(0.800000000000000) +
0.00121576654590569*sin(0.900000000000000) +
0.00135085171767299*sin(1.00000000000000) +
0.00150094635296999*sin(1.10000000000000) +
0.00166771816996666*sin(1.20000000000000) +
0.00185302018885184*sin(1.30000000000000) +
0.00205891132094649*sin(1.40000000000000) +
0.00228767924549610*sin(1.50000000000000) +
0.00254186582832900*sin(1.60000000000000) +
0.00282429536481000*sin(1.70000000000000) +
0.00313810596090000*sin(1.80000000000000) +
0.00348678440100000*sin(1.90000000000000) +
0.00387420489000000*sin(2.00000000000000) +
0.00430467210000000*sin(2.10000000000000) +
0.00478296900000000*sin(2.20000000000000) +
0.00531441000000000*sin(2.30000000000000) +
0.00590490000000000*sin(2.40000000000000) +
0.00656100000000000*sin(2.50000000000000) +
0.00729000000000000*sin(2.60000000000000) +
0.00810000000000000*sin(2.70000000000000) +
0.00900000000000000*sin(2.80000000000000) +
0.0100000000000000*sin(2.90000000000000) -
0.100000000000000*sin(3.00000000000000) -
0.000523347633027361*cos(0.100000000000000) -
0.000581497370030401*cos(0.200000000000000) -
0.000646108188922668*cos(0.300000000000000) -
0.000717897987691853*cos(0.400000000000000) -
0.000797664430768725*cos(0.500000000000000) -
0.000886293811965250*cos(0.600000000000000) -
0.000984770902183612*cos(0.700000000000000) -
0.00109418989131512*cos(0.800000000000000) -
0.00121576654590569*cos(0.900000000000000) -
0.00135085171767299*cos(1.00000000000000) -
0.00150094635296999*cos(1.10000000000000) -
0.00166771816996666*cos(1.20000000000000) -
0.00185302018885184*cos(1.30000000000000) -
0.00205891132094649*cos(1.40000000000000) -
0.00228767924549610*cos(1.50000000000000) -
0.00254186582832900*cos(1.60000000000000) -
0.00282429536481000*cos(1.70000000000000) -
0.00313810596090000*cos(1.80000000000000) -
0.00348678440100000*cos(1.90000000000000) -
0.00387420489000000*cos(2.00000000000000) -
0.00430467210000000*cos(2.10000000000000) -
0.00478296900000000*cos(2.20000000000000) -
0.00531441000000000*cos(2.30000000000000) -
0.00590490000000000*cos(2.40000000000000) -
0.00656100000000000*cos(2.50000000000000) -
0.00729000000000000*cos(2.60000000000000) -
0.00810000000000000*cos(2.70000000000000) -
0.00900000000000000*cos(2.80000000000000) -
0.0100000000000000*cos(2.90000000000000) +
0.100000000000000*cos(3.00000000000000) - 0.00894924452476786
full_output.txt
So, as you can see, the output gets truncated (whatever that means)
and it does not evaluate the sines and cosines. If anybody could help
me with that. I am using sage 4.1.1
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