Last September I asked how to use SAGE to find the roots of f = x^(1/9) + (2^(8/9) - 2^(1/9))*(x - 1) - x^(8/9). William Stein then kindly offered the following code: sage: RDF = RealDoubleField() sage: R.<y> = PolynomialRing(RDF) sage: # Let y be x^(1/9). sage: f = y + RDF(2^(8/9) - 2^(1/9))*(y^9-1) - y^8 sage: v = f.roots(); v sage: [a^9 for a in v]
This code worked well on my machines when I first tried it. However, today in SAGE 2.11 the same code running on the same machines produces the following error message: <type 'exceptions.TypeError'> Traceback (most recent call last) /home/john/<ipython console> in <module>() /home/john/integer.pyx in sage.rings.integer.Integer.__pow__() <type 'exceptions.TypeError'>: unsupported operand type(s) for ** or pow(): 'tuple' and 'int' I would be very grateful for ideas about what has gone wrong and how to fix it. Best regards, John -- John P. Burkett Department of Environmental and Natural Resource Economics and Department of Economics University of Rhode Island Kingston, RI 02881-0808 USA phone (401) 874-9195 --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
