# Revision history [back]

Thanks for your report. The problem comes from the fact that you can not create quadratic field with very large D

sage: QuadraticField(4**1000+1)
Traceback (most recent call last):
...
ValueError: Cannot convert NaN or infinity to Pari float


I opened the ticket #23459 to track the issue.

Thanks for your report. The problem comes from the fact that you can not create quadratic field with very large D

sage: QuadraticField(4**1000+1)
Traceback (most recent call last):
...
ValueError: Cannot convert NaN or infinity to Pari float


I opened the ticket #23459 to track the issue.

EDIT: in the mean time you can use the following modification of value that I adapted from the .value() method of the continued fraction

def periodic_cf_value(cf):
from sage.rings.continued_fraction import last_two_convergents

if cf._x1 and cf._x1[0] < 0:
return -(-cf).value()

if cf._x2[0] is Infinity:
return cf._rational_()

# determine the equation for the purely periodic cont. frac. determined
# by self._x2
p0,q0,p1,q1 = last_two_convergents(cf._x2)

# now x is one of the root of the equation
#   q1 x^2 + (q0 - p1) x - p0 = 0
D = (q0-p1)**2 + 4*q1*p0
x = ((p1 - q0) + sqrt(D)) / (2*q1)

p0,q0,p1,q1 = last_two_convergents(cf._x1)
return (p1*x + p0) / (q1*x + q0)


With the above function you can do with your list l

sage: x = continued_fraction(l)
sage: v = periodic_cf_value(x)


However, the number obtained is a symbolic number not that easy to work with

sage: parent(v)
Symbolic Ring