accumulate coefficients of a polynomial

*To*: mathgroup at smc.vnet.net*Subject*: [mg102813] accumulate coefficients of a polynomial*From*: BHUPALA <bhupala at gmail.com>*Date*: Fri, 28 Aug 2009 00:44:18 -0400 (EDT)

I have generated a polynomial as p[z_] = Sum[a[k]*z^(10 - k), {k, 0, 10}] to give z^10 a[0] + z^9 a[1] + z^8 a[2] + z^7 a[3] + z^6 a[4] + z^5 a[5] + z^4 a[6] + z^3 a[7] + z^2 a[8] + z a[9] + a[10] I want to substitute z = Exp[I Pi/k] where k varies from 1 to 20 and for each k retain the coefficients of the real part as a vector. I used the following command for a single iteration (e.g k=6) ComplexExpand[Re[p[Exp[I Pi/6]]]]] But how to do it in a loop? Thanks for any help. Bhupala

**Follow-Ups**:**Re: accumulate coefficients of a polynomial***From:*Leonid Shifrin <lshifr@gmail.com>

**Re: accumulate coefficients of a polynomial***From:*Adriano Pascoletti <adriano.pascoletti@dimi.uniud.it>