Hi,
Thank you for the report. This is a bug in conversion to maxima:
sage: t = abs(exp(y*I)); t
abs(e^(I*y))
sage: t._maxima_init_()
'abs(exp((y)*(0+%i*1)))'
sage: u = abs(exp(1.1*y*I)); u
abs(e^(1.10000000000000*I*y))
sage: u._maxima_init_()
'abs(exp((y)*(1.1000000000000001*I)))'
This might be the reason:
sage: t.operands()[0].operands()[0].operands()[1].pyobject()
I
sage: type(t.operands()[0].operands()[0].operands()[1].pyobject())
<type
'sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic'>
sage: u.operands()[0].operands()[0].operands()[1].pyobject()
1.10000000000000*I
sage: type(u.operands()[0].operands()[0].operands()[1].pyobject())
<type 'sage.rings.complex_number.ComplexNumber'>
We'll be tracking this issue here:
http://trac.sagemath.org/sage_trac/ticket/7557
Cheers,
Burcin