algtodalg, dalgtoalg, dptodalg, dalgtodp

algtodalg(alg)

:: Converts an algebraic number alg to a DAlg.

dalgtoalg(dalg)

:: Converts a DAlg dalg to an algebraic number.

dptodalg(dp)

:: Converts an algebraic number alg to a DAlg.

dalgtodp(dalg)

:: Converts a DAlg dalg to an algebraic number.

return

An algebraic number, a DAlg or a list [distributed polynomial,denominator]

alg

an algebraic number containing root

dp

a distributed polynomial over Q

• These functions are converters between DAlg and an algebraic number containing root, or a distributed polynomial.
• A ground field to which a DAlg belongs must be set by set_field() in advance.
• dalgtodp() returns a list containing the numerator (a distributed polynomial) and the denominator (an integer).
• algtodalg(), dptodalg() return the simplified result.

[0] A=newalg(x^2+1);
(#0)
[1] B=newalg(x^3+A*x+A);
(#1)
[2] set_field([B,A]);
0
[3] C=algtodalg((A+B)^10);
((408)*<<2,1>>+(103)*<<2,0>>+(-36)*<<1,1>>+(-446)*<<1,0>>
+(-332)*<<0,1>>+(-218)*<<0,0>>)
[4] dalgtoalg(C);
((408*#0+103)*#1^2+(-36*#0-446)*#1-332*#0-218)
[5] D=dptodalg(<<10,10>>/10+2*<<5,5>>+1/3*<<0,0>>);
((-9)*<<2,1>>+(57)*<<2,0>>+(-63)*<<1,1>>+(-12)*<<1,0>>
+(-60)*<<0,1>>+(1)*<<0,0>>)/30
[6] dalgtodp(D);
[(-9)*<<2,1>>+(57)*<<2,0>>+(-63)*<<1,1>>+(-12)*<<1,0>>
+(-60)*<<0,1>>+(1)*<<0,0>>,30]

Reference

section set_field

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