CoCalc Public Filessupport / 2014-11-12-integral-basis.sagews
Authors: Harald Schilly, ℏal Snyder, William A. Stein
Description: Jupyter notebook support/2015-06-04-141749-bokeh.ipynb
S = CuspForms(65,2)

B = S.integral_basis(); B

[ q + q^5 + O(q^6), q^2 + 2*q^5 + O(q^6), q^3 + 2*q^5 + O(q^6), q^4 + 2*q^5 + O(q^6), 3*q^5 + O(q^6) ]
for f in B:
show(f.q_expansion(20))

$q + q^{5} + 2q^{6} + q^{7} - 3q^{8} - 2q^{9} - q^{10} + 2q^{11} - 4q^{12} - q^{13} - 3q^{14} + q^{15} + 3q^{16} - 2q^{17} + q^{18} + 4q^{19} + O(q^{20})$
$q^{2} + 2q^{5} + 3q^{6} + 2q^{7} - 5q^{8} - 4q^{9} - 2q^{10} + 3q^{11} - 6q^{12} - q^{13} - 4q^{14} + q^{15} + 6q^{16} - 2q^{17} + 5q^{18} + 9q^{19} + O(q^{20})$
$q^{3} + 2q^{5} + 2q^{6} + 2q^{7} - 4q^{8} - 2q^{9} - q^{10} + 2q^{11} - 5q^{12} - q^{13} - 6q^{14} + 6q^{16} - 4q^{17} + 4q^{18} + 6q^{19} + O(q^{20})$
$q^{4} + 2q^{5} + 3q^{6} + 3q^{7} - 5q^{8} - 3q^{9} - 2q^{10} + 3q^{11} - 6q^{12} - q^{13} - 7q^{14} + 6q^{16} - 2q^{17} + 5q^{18} + 7q^{19} + O(q^{20})$
$3q^{5} + 5q^{6} + 2q^{7} - 6q^{8} - 4q^{9} - 2q^{10} + 5q^{11} - 8q^{12} - 2q^{13} - 8q^{14} + q^{15} + 10q^{16} - 4q^{17} + 8q^{18} + 9q^{19} + O(q^{20})$