FUNCTION : v0 - ord(G,0) CALLING SEQUENCE : v0(L,N) PARAMETERS : L - (geta)-list produced by GETAP2getalist and corresponds to a generalized eta-quotient on Gamma[1](N). N - positive integer SYNOPSIS : Returns ord(G,0) where G is the generalized eta-quotient corresponding to the (geta)-list L. EXAMPLES : > JJ0:= -q/JAC(1,40,infinity)*JAC(2,40,infinity)^2/JAC(4,40,infinity)^3 *JAC(5,40,infinity)^2*JAC(8,40,infinity)^2/JAC(9,40,infinity) /JAC(11,40,infinity)*JAC(15,40,infinity)^2/JAC(16,40,infinity)^2 *JAC(18,40,infinity)^2/JAC(19,40,infinity)/JAC(20,40,infinity); > JJ1:=rmcofjac(JJ0); > GEP1:=jac2eprod(JJ1); 2 2 2 2 GEP1 := GETA(40, 2) GETA(40, 5) GETA(40, 8) GETA(40, 15) 2 / 3 GETA(40, 18) / (GETA(40, 1) GETA(40, 4) GETA(40, 9) / 2 GETA(40, 11) GETA(40, 16) GETA(40, 19) GETA(40, 20)) > L1:=GETAP2getalist(GEP1); L1 := [[40, 1, -1], [40, 2, 2], [40, 4, -3], [40, 5, 2], [40, 8, 2], [40, 9, -1], [40, 11, -1], [40, 15, 2], [40, 16, -2], [40, 18, 2], [40, 19, -1], [40, 20, -1]] > v0(L1,40); 0 DISCUSSION : We see that v0(JJ0,40) = 0 SEE ALSO : jac2eprod, GETAPgetalist, rmcofjac, vinf