R = RealIntervalField(53);
A.<i,j,k> = QuaternionAlgebra(R, -1,-1);
a = R(0.85323069669636530)*j + R(-1.2524486580700891)*k;
b = R(0.37151417469522368) + R(0.54534187688354340)*i
a/b;
This computation gives a "ValueError: Generator 0 not defined". Note
that if I instead define R as a RealField the computation works
correctly. Here is the traceback:
Traceback (click to the left for traceback)
...
ValueError: Generator 0 not defined.
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "/home/eric/.sage/sage_notebook/worksheets/admin/15/code/
55.py", line 12, in <module>
a/b;
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 251, in _div_
elif self.is_scalar():
File "/opt/sage/local/lib/python2.5/site-packages/sage/algebras/
quaternion_algebra_element.py", line 177, in is_scalar
if (self.reduced_trace()-2*self).is_zero():
File "/opt/sage/local/lib/python2.5/site-packages/sage/algebras/
quaternion_algebra_element.py", line 72, in reduced_trace
w = M.gen(0)
File "/opt/sage/local/lib/python2.5/site-packages/sage/modules/
free_module.py", line 991, in gen
raise ValueError, "Generator %s not defined."%i
ValueError: Generator 0 not defined.
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