test_numberfields.py 文件源码

def test_minimal_polynomial_sq():
    from sympy import Add, expand_multinomial
    p = expand_multinomial((1 + 5*sqrt(2) + 2*sqrt(3))**3)
    mp = minimal_polynomial(p**Rational(1, 3), x)
    assert mp == x**4 - 4*x**3 - 118*x**2 + 244*x + 1321
    p = expand_multinomial((1 + sqrt(2) - 2*sqrt(3) + sqrt(7))**3)
    mp = minimal_polynomial(p**Rational(1, 3), x)
    assert mp == x**8 - 8*x**7 - 56*x**6 + 448*x**5 + 480*x**4 - 5056*x**3 + 1984*x**2 + 7424*x - 3008
    p = Add(*[sqrt(i) for i in range(1, 12)])
    mp = minimal_polynomial(p, x)
    assert mp.subs({x: 0}) == -71965773323122507776