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8.9.26 p_nf, p_nf_mod, p_true_nf, p_true_nf_mod

p_nf(poly,plist,vlist,order)
p_nf_mod(poly,plist,vlist,order,mod)
:: Computes the normal form of the given polynomial. (The result may be multiplied by a constant.)
p_true_nf(poly,plist,vlist,order)
p_true_nf_mod(poly,plist,vlist,order,mod)
:: Computes the normal form of the given polynomial. (The result is returned as a form of [numerator, denominator])

return
p_nf : polynomial, p_true_nf : list
poly
polynomial
plist vlist
list
order
number, list or matrix
mod
prime

 
[79] K = katsura(5)$
[80] V = [u5,u4,u3,u2,u1,u0]$
[81] G = hgr(K,V,2)$
[82] p_nf(K[1],G,V,2);
0
[83] L = p_true_nf(K[1]+1,G,V,2);
[-1503...,-1503...]
[84] L[0]/L[1];
1

References
8.9.10 dp_ptod, 8.9.11 dp_dtop, 8.9.9 dp_ord, 8.9.15 dp_nf, dp_nf_mod, dp_true_nf, dp_true_nf_mod.



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