AngouriMath
ResidueModuloTheQuadratic(AngouriMath.Entity[],AngouriMath.Entity,AngouriMath.Entity)
Method (no overloads)
Summary
The polynomial with coefficients , lowest power first, reduced modulo
the monic quadraticx^2 + s x + t , as the pair (p, q) of p + q x ,
each in lowest terms over the symbols.
the monic quadratic
each in lowest terms over the symbols.
Remarks
From the coefficients, which the caller has, rather than from the polynomial written out
and read back: a coefficient with a symbol over its square, `(4 b^2 - 2 a^2)/a^2` in the
square of `x^2 - 2 b/a x - 1`, expands to an `a^0` guarded by a condition, which the
reader does not read, and the split declined every quadratic block beside that square:
`2 (1 - t^2)^5/((1 + t^2)^4 (a - a t^2 + 2 b t)^2)` went to the Hermite reduction and did
not return in 20 s.
and read back: a coefficient with a symbol over its square, `(4 b^2 - 2 a^2)/a^2` in the
square of `x^2 - 2 b/a x - 1`, expands to an `a^0` guarded by a condition, which the
reader does not read, and the split declined every quadratic block beside that square:
`2 (1 - t^2)^5/((1 + t^2)^4 (a - a t^2 + 2 b t)^2)` went to the Hermite reduction and did
not return in 20 s.
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