Cyclotomic polynomial: Difference between revisions
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=={{header|J}}== |
=={{header|J}}== |
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For values up to 70, we can find cyclotomic polynomials by finding a polynomial with roots of unity relatively prime to the order of the polynomial: |
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<lang J>cyclo=: {{<.-:1+(++) p. 1;^0j2p1* y%~1+I.1=y+.1+i.y}}</lang> |
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This approach suggests that cyclotomic polynomial zero should be <tt>f<sub>0(x)</sub>= 1</tt> |
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Implementation of routine to find nth cyclotomic polynomial: |
Implementation of routine to find nth cyclotomic polynomial: |
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<lang J>{{ if.0>nc<'cache' do.cache=:y end.}} |
<lang J>{{ if.0>nc<'cache' do.cache=:y end.}} (,1);_1 1 |
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cyclotomic=: {{ |
cyclotomic=: {{ |
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