
== a=1.5 N=3 tau=1  lambda(jacobi)=0.9433797666527911637734004  lambda(direct)=0.9433797666527911637734004  r1 identity diff 1.4e-85; q(1/k)=3.93e-90 q(r1)=4.57e-84
   D(w) order at S1: 3.000
   D(w) order at S2: 1.000
   S1: A:+1.00  A':+1.00  Abar1:+1.00  Abar2:-1.00  Abar'1:+1.00  Abar'2:-1.00  A*1:+3.00  A*2:+1.00  Adag1:-1.00  Adag2:+1.00  A'dag1:-1.00  A'dag2:+1.00  Adual1:-1.00  Adual2:+1.00  Adual1~:-1.00  Adual2~:+1.00
   S2: A:+1.00  A':+1.00  Abar1:-1.00  Abar2:+1.00  Abar'1:-1.00  Abar'2:+1.00  A*1:+1.00  A*2:+3.00  Adag1:+1.00  Adag2:-1.00  A'dag1:+1.00  A'dag2:-1.00  Adual1:+1.00  Adual2:-1.00  Adual1~:+1.00  Adual2~:-1.00
   PA: A:-1.00  A':-1.00  Abar1:-0.00  Abar2:+0.00  Abar'1:-0.00  Abar'2:+0.00  A*1:-2.00  A*2:-2.00  Adag1:+0.00  Adag2:-0.00  A'dag1:+0.00  A'dag2:-0.00  Adual1:+0.00  Adual2:-0.00  Adual1~:+0.00  Adual2~:-0.00

== a=1.5 N=4 tau=1  lambda(jacobi)=0.6923076923076923076923077  lambda(direct)=0.6923076923076923076923077  N=4: A'^2-B'^2 = 2.66e-86
   D(w) order at S1: 3.000
   D(w) order at S2: 1.000
   S1: A:+1.00  A':-1.00  Abar1:-1.00  Abar2:-1.00  Abar'1:-1.00  Abar'2:-1.00  A*1:+1.00  A*2:+1.00  Adag1:-1.00  Adag2:-1.00  A'dag1:-1.00  A'dag2:-1.00  Adual1:-1.00  Adual2:-1.00  Adual1~:-1.00  Adual2~:-1.00
   S2: A:+1.00  A':-1.00  Abar1:-1.00  Abar2:-1.00  Abar'1:-1.00  Abar'2:-1.00  A*1:+1.00  A*2:+1.00  Adag1:-1.00  Adag2:-1.00  A'dag1:-1.00  A'dag2:-1.00  Adual1:-1.00  Adual2:-1.00  Adual1~:-1.00  Adual2~:-1.00
   PA: A:-1.00  A':+1.00  Abar1:+1.00  Abar2:+1.00  Abar'1:+1.00  Abar'2:+1.00  A*1:-1.00  A*2:-1.00  Adag1:+1.00  Adag2:+1.00  A'dag1:+1.00  A'dag2:+1.00  Adual1:+1.00  Adual2:+1.00  Adual1~:+1.00  Adual2~:+1.00

== a=1.5 N=5 tau=2  lambda(jacobi)=0.9986829959038355891829105  lambda(direct)=0.9986829959038355891829105  r1 identity diff 4.33e-86; q(1/k)=1.26e-88 q(r1)=6.56e-83
   D(w) order at S1: 3.000
   D(w) order at S2: 1.000
   S1: A:+1.00  A':+1.00  Abar1:+1.00  Abar2:-1.00  Abar'1:+1.00  Abar'2:-1.00  A*1:+1.00  A*2:+1.00  Adag1:-1.00  Adag2:+1.00  A'dag1:-1.00  A'dag2:+1.00  Adual1:-1.00  Adual2:+1.00  Adual1~:-1.00  Adual2~:+1.00
   S2: A:+1.00  A':+1.00  Abar1:-1.00  Abar2:+1.00  Abar'1:-1.00  Abar'2:+1.00  A*1:+1.00  A*2:+1.00  Adag1:+1.00  Adag2:-1.00  A'dag1:+1.00  A'dag2:-1.00  Adual1:+1.00  Adual2:-1.00  Adual1~:+1.00  Adual2~:-1.00
   PA: A:-1.00  A':-1.00  Abar1:-0.00  Abar2:+0.00  Abar'1:-0.00  Abar'2:+0.00  A*1:-2.00  A*2:-2.00  Adag1:+0.00  Adag2:-0.00  A'dag1:+0.00  A'dag2:-0.00  Adual1:+0.00  Adual2:-0.00  Adual1~:+0.00  Adual2~:-0.00

== a=1.5 N=6 tau=1  lambda(jacobi)=0.36  lambda(direct)=0.36  r1 identity diff 2.06e-85; q(1/k)=4.91e-91 q(r1)=1.89e-85
   D(w) order at S1: 3.000
   D(w) order at S2: 1.000
   S1: A:-1.00  A':+1.00  Abar1:-1.00  Abar2:-1.00  Abar'1:-1.00  Abar'2:-1.00  A*1:-1.00  A*2:-1.00  Adag1:-1.00  Adag2:-1.00  A'dag1:-1.00  A'dag2:-1.00  Adual1:-1.00  Adual2:-1.00  Adual1~:-1.00  Adual2~:-1.00
   S2: A:-1.00  A':+1.00  Abar1:-1.00  Abar2:-1.00  Abar'1:-1.00  Abar'2:-1.00  A*1:-1.00  A*2:-1.00  Adag1:-1.00  Adag2:-1.00  A'dag1:-1.00  A'dag2:-1.00  Adual1:-1.00  Adual2:-1.00  Adual1~:-1.00  Adual2~:-1.00
   PA: A:-1.00  A':+1.00  Abar1:-1.00  Abar2:-1.00  Abar'1:-1.00  Abar'2:-1.00  A*1:-1.00  A*2:-1.00  Adag1:-1.00  Adag2:-1.00  A'dag1:-1.00  A'dag2:-1.00  Adual1:-1.00  Adual2:-1.00  Adual1~:-1.00  Adual2~:-1.00

== a=2.2 N=7 tau=3  lambda(jacobi)=0.9999998676447996965723537  lambda(direct)=0.9999998676447996965723537  r1 identity diff 5.46e-86; q(1/k)=2.06e-84 q(r1)=8.25e-79
   D(w) order at S1: 3.000
   D(w) order at S2: 1.000
   S1: A:+1.00  A':+1.00  Abar1:+1.00  Abar2:-1.00  Abar'1:+1.00  Abar'2:-1.00  A*1:+1.00  A*2:+1.00  Adag1:-1.00  Adag2:+1.00  A'dag1:-1.00  A'dag2:+1.00  Adual1:-1.00  Adual2:+1.00  Adual1~:-1.00  Adual2~:+1.00
   S2: A:+1.00  A':+1.00  Abar1:-1.00  Abar2:+1.00  Abar'1:-1.00  Abar'2:+1.00  A*1:+1.00  A*2:+1.00  Adag1:+1.00  Adag2:-1.00  A'dag1:+1.00  A'dag2:-1.00  Adual1:+1.00  Adual2:-1.00  Adual1~:+1.00  Adual2~:-1.00
   PA: A:-1.00  A':-1.00  Abar1:-0.00  Abar2:+0.00  Abar'1:-0.00  Abar'2:+0.00  A*1:-2.00  A*2:-2.00  Adag1:+0.00  Adag2:-0.00  A'dag1:+0.00  A'dag2:-0.00  Adual1:+0.00  Adual2:-0.00  Adual1~:+0.00  Adual2~:-0.00

== a=1.5 N=8 tau=3  lambda(jacobi)=0.99112013708084732345558  lambda(direct)=0.99112013708084732345558  r1 identity diff 6.39e-86; q(1/k)=1.57e-89 q(r1)=1.42e-83
   D(w) order at S1: 3.000
   D(w) order at S2: 1.000
   S1: A:+1.00  A':-1.00  Abar1:-1.00  Abar2:-1.00  Abar'1:-1.00  Abar'2:-1.00  A*1:+1.00  A*2:+1.00  Adag1:-1.00  Adag2:-1.00  A'dag1:-1.00  A'dag2:-1.00  Adual1:-1.00  Adual2:-1.00  Adual1~:-1.00  Adual2~:-1.00
   S2: A:+1.00  A':-1.00  Abar1:-1.00  Abar2:-1.00  Abar'1:-1.00  Abar'2:-1.00  A*1:+1.00  A*2:+1.00  Adag1:-1.00  Adag2:-1.00  A'dag1:-1.00  A'dag2:-1.00  Adual1:-1.00  Adual2:-1.00  Adual1~:-1.00  Adual2~:-1.00
   PA: A:-1.00  A':+1.00  Abar1:+1.00  Abar2:+1.00  Abar'1:+1.00  Abar'2:+1.00  A*1:-1.00  A*2:-1.00  Adag1:+1.00  Adag2:+1.00  A'dag1:+1.00  A'dag2:+1.00  Adual1:+1.00  Adual2:+1.00  Adual1~:+1.00  Adual2~:+1.00

== a=2.2 N=10 tau=3  lambda(jacobi)=0.9535380284315018700573157  lambda(direct)=0.9535380284315018700573157  r1 identity diff 4.96e-85; q(1/k)=3.93e-90 q(r1)=2.02e-83
   D(w) order at S1: 3.000
   D(w) order at S2: 1.000
   S1: A:-1.00  A':+1.00  Abar1:-1.00  Abar2:-1.00  Abar'1:-1.00  Abar'2:-1.00  A*1:-1.00  A*2:-1.00  Adag1:-1.00  Adag2:-1.00  A'dag1:-1.00  A'dag2:-1.00  Adual1:-1.00  Adual2:-1.00  Adual1~:-1.00  Adual2~:-1.00
   S2: A:-1.00  A':+1.00  Abar1:-1.00  Abar2:-1.00  Abar'1:-1.00  Abar'2:-1.00  A*1:-1.00  A*2:-1.00  Adag1:-1.00  Adag2:-1.00  A'dag1:-1.00  A'dag2:-1.00  Adual1:-1.00  Adual2:-1.00  Adual1~:-1.00  Adual2~:-1.00
   PA: A:-1.00  A':+1.00  Abar1:-1.00  Abar2:-1.00  Abar'1:-1.00  Abar'2:-1.00  A*1:-1.00  A*2:-1.00  Adag1:-1.00  Adag2:-1.00  A'dag1:-1.00  A'dag2:-1.00  Adual1:-1.00  Adual2:-1.00  Adual1~:-1.00  Adual2~:-1.00

== a=1.5 N=12 tau=5  lambda(jacobi)=0.9998072372310377466063114  lambda(direct)=0.9998072372310377466063114  r1 identity diff 6.18e-86; q(1/k)=0.0 q(r1)=6.41e-82
   D(w) order at S1: 3.000
   D(w) order at S2: 1.000
   S1: A:+1.00  A':-1.00  Abar1:-1.00  Abar2:-1.00  Abar'1:-1.00  Abar'2:-1.00  A*1:+1.00  A*2:+1.00  Adag1:-1.00  Adag2:-1.00  A'dag1:-1.00  A'dag2:-1.00  Adual1:-1.00  Adual2:-1.00  Adual1~:-1.00  Adual2~:-1.00
   S2: A:+1.00  A':-1.00  Abar1:-1.00  Abar2:-1.00  Abar'1:-1.00  Abar'2:-1.00  A*1:+1.00  A*2:+1.00  Adag1:-1.00  Adag2:-1.00  A'dag1:-1.00  A'dag2:-1.00  Adual1:-1.00  Adual2:-1.00  Adual1~:-1.00  Adual2~:-1.00
   PA: A:-1.00  A':+1.00  Abar1:+1.00  Abar2:+1.00  Abar'1:+1.00  Abar'2:+1.00  A*1:-1.00  A*2:-1.00  Adag1:+1.00  Adag2:+1.00  A'dag1:+1.00  A'dag2:+1.00  Adual1:+1.00  Adual2:+1.00  Adual1~:+1.00  Adual2~:+1.00
