Module: sage.algebras.quaternion_algebra_element
Class: QuaternionAlgebraElement
self, H, x) |
Create the element x of the quaternion algebra H.
Functions: characteristic_polynomial,
charpoly,
conjugate,
minimal_polynomial,
minpoly,
reduced_norm,
reduced_trace
self) |
Return the reduced trace of this element.
Note:
In a quaternion algebra
, every element
is
quadratic over the center, thus
, so
we solve for a linear relation
among
for the reduced trace of
.
Special Functions: _cmp_
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