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'factor'yse this |
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| May10-09, 08:45 AM | #1 |
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Blog Entries: 2
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'factor'yse this
is there any way to factorize larger expressions?
i, for example wanted to factorize- 216x2y2+150x2+6y2+72xy2+360x2y+48xy+40x+8y+7 |
| May10-09, 05:29 PM | #2 |
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Recognitions:
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Magma says it's irreducible:
Code:
P<x,y> := PolynomialRing(IntegerRing(), 2);
Factorization(216*x^2*y^2+150*x^2+6*y^2+72*x*y^2+360*x^2*y+48*x*y+40*x+8*y+7);
[
<216*x^2*y^2 + 360*x^2*y + 150*x^2 + 72*x*y^2 + 48*x*y + 40*x + 6*y^2 + 8*y
+ 7, 1>
]
Total time: 0.140 seconds, Total memory usage: 7.28MB
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| May11-09, 12:09 AM | #3 |
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Blog Entries: 2
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i entered the code:
P<x,y> := PolynomialRing(IntegerRing(), 2); Factorization(216*x^2*y^2+150*x^2+6*y^2+72*x*y^2+360*x^2*y+48*x*y+40*x+ 8*y+2); [ <216*x^2*y^2 + 360*x^2*y + 150*x^2 + 72*x*y^2 + 48*x*y + 40*x + 6*y^2 + 8*y + 2, 1> ] and got: [ <2, 1>, <108*x^2*y^2 + 180*x^2*y + 75*x^2 + 36*x*y^2 + 24*x*y + 20*x + 3*y^2 + 4*y + 1, 1> ] [ <216*x^2*y^2 + 360*x^2*y + 150*x^2 + 72*x*y^2 + 48*x*y + 40*x + 6*y^2 + 8*y + 2, 1> ] Total time: 0.140 seconds, Total memory usage: 7.28 even tried to put a 3 beside the Integering()(if, that is for no. of factors), to get the same result. but i know,that the above expression is: 2(6xy+5x+y+1)(18xy+15x+3y+1) how does this work? |
| May11-09, 12:35 AM | #4 |
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Recognitions:
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'factor'yse this
Only the first two lines were input. The following lines were the output I got.
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| May11-09, 01:08 AM | #5 |
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Blog Entries: 2
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i entered:
P<x,y> := PolynomialRing(IntegerRing(), 2); Factorization(216*x^2*y^2+150*x^2+6*y^2+72*x*y^2+360*x^2*y+48*x*y+40*x+ 8*y+2); and got: [ <2, 1>, <108*x^2*y^2 + 180*x^2*y + 75*x^2 + 36*x*y^2 + 24*x*y + 20*x + 3*y^2 + 4*y + 1, 1> ] Total time: 0.140 seconds, Total memory usage: 7.28MB whereas above expressioon is: 2(6xy+5x+y+1)(18xy+15x+3y+1) how does this work? |
| May11-09, 02:14 AM | #6 |
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It doesnt, as i suspect you alredy knew.
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