Hello,
I have boiled it down to:
R = RealIntervalField(32);
A.<i,j,k>=QuaternionAlgebra(R,-1,-1)
print A(1)/(j + 2);
Executing this code results in an error whose traceback is pasted at
the end of this message. Note that by hand (or by using RealField
instead of RealIntervalField) this computation gives .4 - .2j
Traceback (click to the left for traceback)
...
TypeError: Argument x (= [3.9999999562 .. 4.0000000466]) is of the
wrong
type.
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "/home/eric/.sage/sage_notebook/worksheets/admin/15/code/
18.py", line 8, in <module>
print A(Integer(1))/(j + Integer(2));
File "/opt/sage/local/lib/python2.5/site-packages/sympy/plotting/",
line 1, in <module>
File "element.pyx", line 1480, in
sage.structure.element.RingElement.__div__ (sage/structure/element.c:
9056)
File "coerce.pxi", line 136, in sage.structure.element._div_c (sage/
structure/element.c:16160)
File "/opt/sage/local/lib/python2.5/site-packages/sage/algebras/
quaternion_algebra_element.py", line 246, in _div_
if other.is_unit() == False:
File "/opt/sage/local/lib/python2.5/site-packages/sage/algebras/
quaternion_algebra_element.py", line 152, in is_unit
if self.reduced_norm() == 0:
File "/opt/sage/local/lib/python2.5/site-packages/sage/algebras/
quaternion_algebra_element.py", line 86, in reduced_norm
x = self * self.conjugate()
File "/opt/sage/local/lib/python2.5/site-packages/sage/algebras/
quaternion_algebra_element.py", line 49, in conjugate
return self.parent()(self.reduced_trace()) - self
File "/opt/sage/local/lib/python2.5/site-packages/sage/algebras/
quaternion_algebra.py", line 386, in __call__
return QuaternionAlgebraElement(self,x)
File "/opt/sage/local/lib/python2.5/site-packages/sage/algebras/
quaternion_algebra_element.py", line 34, in __init__
FreeAlgebraQuotientElement.__init__(self, H, x)
File "/opt/sage/local/lib/python2.5/site-packages/sage/algebras/
free_algebra_quotient_element.py", line 97, in __init__
raise TypeError, "Argument x (= %s) is of the wrong type."%x
TypeError: Argument x (= [3.9999999562 .. 4.0000000466]) is of the
wrong type.
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