In [6]: factor(x**4 + 1, extension=[I, sqrt(2)])
Out[6]:
⎛ ___ ___ ⎞ ⎛ ___ ___ ⎞ ⎛ ___ ___ ⎞ ⎛
___
⎜ ╲╱ 2 ╲╱ 2 ⋅ⅈ⎟ ⎜ ╲╱ 2 ╲╱ 2 ⋅ⅈ⎟ ⎜ ╲╱ 2 ╲╱ 2 ⋅ⅈ⎟ ⎜ ╲╱
2
⎜x - ───── - ───────⎟⋅⎜x - ───── + ───────⎟⋅⎜x + ───── - ───────⎟⋅⎜x +
───── +
⎝ 2 2 ⎠ ⎝ 2 2 ⎠ ⎝ 2 2 ⎠ ⎝
2
___ ⎞
╲╱ 2 ⋅ⅈ⎟
───────⎟
2 ⎠
On Monday, December 8, 2014 9:03:25 PM UTC+3, Paul Royik wrote:
>
> This is good method, but it doesn't work for x^4+1
>
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