cyclotomic polynomial

asked 2017-07-04 12:01:53 +0200

this post is marked as community wiki

This post is a wiki. Anyone with karma >750 is welcome to improve it.

f= cyclotomic_polynomial(1329227995784915872903807060280344575,'z');f

how to find cyclotomic polynomial for such a large number in sage

edit retag flag offensive close merge delete

Comments

1

And what should be done with this polynomial?

Note: The question is related to the question "How can i initialize in sage the list with 10000000000 components which are all equal to one?" The answer is then: "Why do we really need this list?"

dan_fulea gravatar imagedan_fulea ( 2017-07-04 13:14:20 +0200 )edit

Luckily, this is number is not so complicated ;-)

sage: 1329227995784915872903807060280344575.factor()
3^2 * 5^2 * 7 * 11 * 13 * 17 * 31 * 41 * 61 * 151 * 241 * 331 * 1321 * 61681 * 4562284561
vdelecroix gravatar imagevdelecroix ( 2017-07-13 23:25:30 +0200 )edit