id summary reporter owner description type status priority milestone component resolution keywords cc merged author reviewer upstream work_issues branch commit dependencies stopgaps
23247 Symmetric square L-function bug for odd chi davidloeffler "This is a followup to #19668 which added functionality for computing symmetric square L-functions of modular forms (via the Sage interface to Dokchitser's ComputeL GP/PARI script). Unfortunately, the code has a bug when the twisting character psi has non-real values, as one can see by checking the functional equation.
{{{
sage: F = Newforms(1,12)[0]
sage: chi = DirichletGroup(7).0
sage: F.symsquare_lseries(chi^2).check_functional_equation() # even char
-9.06002242118120e-8 - 1.94297172129154e-7*I
sage: F.symsquare_lseries(chi).check_functional_equation() # odd char
8.86658506905467e7 + 1.10964024593305e8*I
}}}
Note the huge discrepancy for the odd character. This is because the Gamma and epsilon factor parameters are being computed wrongly. (Thanks to Jim Brown for pointing this out)" defect closed minor sage-8.0 modular forms fixed L-functions David Loeffler Frédéric Chapoton, Jim Brown N/A 390030b29b950c40248e96adca1a1dc49c2ee8db