a=1.6 b=1.0 N= 3 lam=0.956500062073 kappa=15.50890571 clos=2.07e-40 T1err=1.98e-38 |Af1-Af2|max=20.4 spread A'A*f1=218.0 A'A*O=35.7 A'A*G=1.03e+3 A'A*H=2.19e+4 A'A=3.02
a=1.6 b=1.0 N= 4 lam=0.719101123596 kappa=2.0 clos=4.13e-40 T1err=3.9e-40 |Af1-Af2|max=2.66e-39 spread A'A*f1=8.08e-39 A'A*O=46.1 A'A*G=81.2 A'A*H=50.7 A'A=7.35e-40 | lam4 err=3.44e-41 A'A*f-16a2b2=2.2e-39
a=1.6 b=1.0 N= 5 lam=0.515255976344 kappa=0.9590785725 clos=8.04e-40 T1err=2.18e-40 |Af1-Af2|max=0.789 spread A'A*f1=4.54 A'A*O=0.00376 A'A*G=10.9 A'A*H=7.6 A'A=0.00195
a=1.6 b=1.0 N= 6 lam=0.378698224852 kappa=0.6438095238 clos=8.49e-40 T1err=1.15e-40 |Af1-Af2|max=7.35e-40 spread A'A*f1=2.2e-39 A'A*O=3.86 A'A*G=5.72 A'A*H=3.64 A'A=7.35e-40 | lam6 err=8.04e-41 A'A*f-4a2(4b2-a2)=3.67e-40
a=1.6 b=1.0 N= 7 lam=0.287525087115 kappa=0.5005990548 clos=7.17e-40 T1err=5.74e-41 |Af1-Af2|max=0.0898 spread A'A*f1=0.488 A'A*O=4.61e-6 A'A*G=1.43 A'A*H=1.13 A'A=3.53e-6
a=1.6 b=1.0 N= 8 lam=0.224775273443 kappa=0.4216048405 clos=6.77e-40 T1err=6.31e-41 |Af1-Af2|max=3.21e-40 spread A'A*f1=2.2e-39 A'A*O=0.486 A'A*G=0.747 A'A*H=0.381 A'A=1.1e-39
a=1.6 b=1.0 N= 9 lam=0.180120778141 kappa=0.3727544853 clos=1.56e-39 T1err=1.43e-40 |Af1-Af2|max=0.00839 spread A'A*f1=0.0405 A'A*O=7.85e-9 A'A*G=0.217 A'A*H=0.118 A'A=7.03e-9
a=1.6 b=1.0 N=10 lam=0.147361575603 kappa=0.3401709219 clos=8.95e-40 T1err=4.59e-41 |Af1-Af2|max=1.61e-40 spread A'A*f1=1.84e-39 A'A*O=0.0527 A'A*G=0.089 A'A*H=0.0399 A'A=7.35e-40
a=1.6 b=1.0 N=14 lam=0.0767488553887 kappa=0.2778005658 clos=4.8e-39 T1err=1.15e-40 |Af1-Af2|max=1.84e-40 spread A'A*f1=1.65e-39 A'A*O=0.000588 A'A*G=0.00149 A'A*H=0.000311 A'A=7.35e-40
a=3.0 b=1.0 N= 3 lam=0.996751053371 kappa=167.4400375 clos=1.61e-39 T1err=9.31e-36 |Af1-Af2|max=530.0 spread A'A*f1=3.17e+4 A'A*O=1.72e+4 A'A*G=8.27e+4 A'A*H=1.14e+6 A'A=114.0
a=3.0 b=1.0 N= 4 lam=0.9 kappa=2.0 clos=2.11e-39 T1err=2.98e-40 |Af1-Af2|max=3.07e-38 spread A'A*f1=2.26e-37 A'A*O=2.59e+3 A'A*G=8.45e+4 A'A*H=4.48e+3 A'A=1.47e-39 | lam4 err=0.0 A'A*f-16a2b2=2.0e-37
a=3.0 b=1.0 N= 5 lam=0.721920283111 kappa=-1.557727157 clos=2.2e-39 T1err=6.89e-40 |Af1-Af2|max=16.4 spread A'A*f1=184.0 A'A*O=2.03 A'A*G=610.0 A'A*H=364.0 A'A=0.318
a=3.0 b=1.0 N= 6 lam=0.5625 kappa=-2.285714286 clos=1.42e-39 T1err=3.67e-40 |Af1-Af2|max=5.88e-39 spread A'A*f1=9.11e-38 A'A*O=281.0 A'A*G=376.0 A'A*H=305.0 A'A=2.94e-39 | lam6 err=2.3e-41 A'A*f-4a2(4b2-a2)=2.35e-38
a=3.0 b=1.0 N= 7 lam=0.441414822074 kappa=-2.560979298 clos=2.89e-39 T1err=2.76e-40 |Af1-Af2|max=4.54 spread A'A*f1=47.3 A'A*O=0.00766 A'A*G=79.1 A'A*H=64.9 A'A=0.00333
a=3.0 b=1.0 N= 8 lam=0.352191422413 kappa=-2.697963398 clos=1.88e-39 T1err=2.3e-40 |Af1-Af2|max=9.55e-39 spread A'A*f1=4.7e-38 A'A*O=73.3 A'A*G=92.7 A'A*H=74.8 A'A=2.94e-39
a=3.0 b=1.0 N= 9 lam=0.286056991008 kappa=-2.777404431 clos=1.19e-39 T1err=2.3e-40 |Af1-Af2|max=1.17 spread A'A*f1=10.6 A'A*O=6.09e-5 A'A*G=25.6 A'A*H=17.7 A'A=4.8e-5
a=3.0 b=1.0 N=10 lam=0.236240324147 kappa=-2.828159788 clos=4.59e-39 T1err=4.13e-40 |Af1-Af2|max=5.51e-39 spread A'A*f1=5.29e-38 A'A*O=16.9 A'A*G=21.4 A'A*H=16.6 A'A=2.94e-39
a=3.0 b=1.0 N=14 lam=0.125390868374 kappa=-2.920351171 clos=4.73e-39 T1err=1.84e-40 |Af1-Af2|max=1.84e-39 spread A'A*f1=3.53e-38 A'A*O=0.701 A'A*G=1.21 A'A*H=0.851 A'A=5.88e-39
a=1.15 b=1.0 N= 3 lam=0.842136991807 kappa=5.522917501 clos=1.78e-40 T1err=5.51e-40 |Af1-Af2|max=1.16 spread A'A*f1=6.79 A'A*O=0.195 A'A*G=49.6 A'A*H=44.2 A'A=0.0432
a=1.15 b=1.0 N= 4 lam=0.56942949408 kappa=2.0 clos=4.38e-40 T1err=2.07e-40 |Af1-Af2|max=9.18e-40 spread A'A*f1=1.47e-39 A'A*O=1.66 A'A*G=3.23 A'A*H=0.997 A'A=1.84e-40 | lam4 err=2.3e-41 A'A*f-16a2b2=1.47e-39
a=1.15 b=1.0 N= 5 lam=0.394819988891 kappa=1.411604862 clos=3.1e-40 T1err=6.89e-41 |Af1-Af2|max=0.0233 spread A'A*f1=0.097 A'A*O=3.35e-6 A'A*G=0.491 A'A*H=0.271 A'A=2.15e-6
a=1.15 b=1.0 N= 6 lam=0.286100594916 kappa=1.190643939 clos=1.89e-40 T1err=6.89e-41 |Af1-Af2|max=1.38e-40 spread A'A*f1=7.35e-40 A'A*O=0.0505 A'A*G=0.117 A'A*H=0.0283 A'A=3.67e-40 | lam6 err=0.0 A'A*f-4a2(4b2-a2)=0.0
a=1.15 b=1.0 N= 7 lam=0.215599404648 kappa=1.080095769 clos=3.67e-40 T1err=9.18e-41 |Af1-Af2|max=0.000743 spread A'A*f1=0.00283 A'A*O=4.4e-10 A'A*G=0.0245 A'A*H=0.00535 A'A=3.56e-10
a=1.15 b=1.0 N= 8 lam=0.167792230036 kappa=1.01578948 clos=6.3e-40 T1err=4.59e-41 |Af1-Af2|max=1.38e-40 spread A'A*f1=5.51e-40 A'A*O=0.00187 A'A*G=0.00567 A'A*H=0.000889 A'A=3.67e-40
a=1.15 b=1.0 N= 9 lam=0.134066463505 kappa=0.9746957516 clos=5.74e-40 T1err=8.04e-41 |Af1-Af2|max=2.47e-5 spread A'A*f1=9.07e-5 A'A*O=1.02e-13 A'A*G=0.00148 A'A*H=8.69e-5 A'A=9.06e-14
a=1.15 b=1.0 N=10 lam=0.109462918426 kappa=0.9466807167 clos=2.27e-39 T1err=2.3e-41 |Af1-Af2|max=2.76e-40 spread A'A*f1=5.51e-40 A'A*O=6.11e-5 A'A*G=0.000331 A'A*H=3.46e-5 A'A=5.51e-40
a=1.15 b=1.0 N=14 lam=0.0567824414652 kappa=0.8916106174 clos=2.93e-39 T1err=8.04e-41 |Af1-Af2|max=1.84e-40 spread A'A*f1=5.51e-40 A'A*O=5.33e-8 A'A*G=9.04e-7 A'A*H=7.9e-8 A'A=5.51e-40
WORST T1 (Theorem A, all N) = 9.31e-36; WORST T2 (even N focal product spread / Af1-Af2) = 2.26e-37; WORST T4 (A'A spread, even N) = 5.88e-39
T6 Lemma 1 on 200 random (possibly non-convex) polygons: worst relative error 1.11e-38
T7 Lemma 4(iii) (vertices/contacts from Jacobi functions vs billiard step, cn Delta = b''/b with Delta = 2K/N): worst 2.55e-38
T7 Lemma 5 side formulas (L, l r, sin omega) vs geometry: worst 1.14e-38
T8 star a=1.6 N=5 tau=2 lam=0.9992929736: max |(Af1+Af2)/(2A) - R| = 3.13e-33
T8 star a=1.6 N=7 tau=2 lam=0.8444087339: max |(Af1+Af2)/(2A) - R| = 4.59e-40
T8 star a=1.6 N=7 tau=3 lam=0.9999892469: max |(Af1+Af2)/(2A) - R| = 5.25e-28
T8 star a=1.6 N=8 tau=3 lam=0.9943223207: max |(Af1+Af2)/(2A) - R| = 4.02e-36
T8 star a=1.6 N=10 tau=3 lam=0.8857162206: max |(Af1+Af2)/(2A) - R| = 2.76e-39
T8 star a=3.0 N=5 tau=2 lam=0.9999971706: max |(Af1+Af2)/(2A) - R| = 1.54e-27
T8 star a=3.0 N=7 tau=2 lam=0.9670670068: max |(Af1+Af2)/(2A) - R| = 5.36e-38
T8 star a=3.0 N=7 tau=3 lam=0.9999999975: max |(Af1+Af2)/(2A) - R| = 4.94e-20
T8 star a=3.0 N=8 tau=3 lam=0.9999039023: max |(Af1+Af2)/(2A) - R| = 2.1e-31
T8 star a=3.0 N=10 tau=3 lam=0.9814139217: max |(Af1+Af2)/(2A) - R| = 2.24e-37
