=== PART A (rest): the two families that crashed in the first run, plus a few more windings ===
[CLAIM] a=3.5 N=28 tau=13: FAILED to construct (no sign change: glo=-81.681408990819459637079507540589576454189527182869 ghi=-81.714232763584134036032669341795365036772218731696)
[CLAIM] a=3.5 N=32 tau=15: FAILED to construct (no sign change: glo=-94.247779604819323366858988689312513331766061367682 ghi=-88.334478177461345282258696754619601383406253303151)
[CLAIM] a=1.3 b=1.0 N=28 tau=3 lambda=0.14015393679169142349 closure=5.62e-50 minimal=True max_tangency_defect=2.14e-50 rot/2pi=3.0
   M=O         spread(A*A_M)=2.34e-50  spread(A_M/A)=1.21e-19  | outer: spread(A'*A'_M)=1.21e-19  spread(A'_M/A')=5.89e-51  | max|A_M-A_{-M}|=0.0        A*A_M[0]=116.893251985030614215175
   M=M1        spread(A*A_M)=4.72e-50  spread(A_M/A)=1.21e-19  | outer: spread(A'*A'_M)=1.21e-19  spread(A'_M/A')=2.42e-50  | max|A_M-A_{-M}|=4.06e-49   A*A_M[0]=144.8636796355867417576047
   M=M2        spread(A*A_M)=3.22e-50  spread(A_M/A)=1.21e-19  | outer: spread(A'*A'_M)=1.21e-19  spread(A'_M/A')=2.88e-50  | max|A_M-A_{-M}|=1.37e-48   A*A_M[0]=467.0983324317196631710758
   M=M3        spread(A*A_M)=1.82e-50  spread(A_M/A)=1.21e-19  | outer: spread(A'*A'_M)=1.21e-19  spread(A'_M/A')=1.9e-50   | max|A_M-A_{-M}|=2.19e-47   A*A_M[0]=67275.42266714292605605699
   M=Mc        spread(A*A_M)=6.59e-50  spread(A_M/A)=1.21e-19  | outer: spread(A'*A'_M)=1.21e-19  spread(A'_M/A')=4.89e-50  | max|A_M-A_{-M}|=6.23e-49   A*A_M[0]=(88.9228243344744866727453 + 24.52201876213139948925345j)
   M=Mx        spread(A*A_M)=5.46e-50  spread(A_M/A)=1.21e-19  | outer: spread(A'*A'_M)=1.21e-19  spread(A'_M/A')=3.54e-50  | max|A_M-A_{-M}|=6.84e-49   A*A_M[0]=181.6467077787838409914849
   M=My        spread(A*A_M)=2.45e-50  spread(A_M/A)=1.21e-19  | outer: spread(A'*A'_M)=1.21e-19  spread(A'_M/A')=1.38e-50  | max|A_M-A_{-M}|=1.71e-49   A*A_M[0]=181.6467077787838409914849
   M=Md        spread(A*A_M)=4.9e-50   spread(A_M/A)=1.21e-19  | outer: spread(A'*A'_M)=1.21e-19  spread(A'_M/A')=2.56e-50  | max|A_M-A_{-M}|=4.7e-49    A*A_M[0]=181.6467077787838409914849
   (0.3s)
[CLAIM] a=1.3 b=1.0 N=28 tau=9 lambda=0.86891790084814385804 closure=4.09e-49 minimal=True max_tangency_defect=6.15e-50 rot/2pi=9.0
   M=O         spread(A*A_M)=8.12e-50  spread(A_M/A)=7.41e-13  | outer: spread(A'*A'_M)=7.41e-13  spread(A'_M/A')=3.45e-50  | max|A_M-A_{-M}|=0.0        A*A_M[0]=67.40150158327563845368639
   M=M1        spread(A*A_M)=1.15e-49  spread(A_M/A)=7.41e-13  | outer: spread(A'*A'_M)=7.41e-13  spread(A'_M/A')=2.06e-49  | max|A_M-A_{-M}|=6.84e-49   A*A_M[0]=40.75619404800518098942772
   M=M2        spread(A*A_M)=1.0e-49   spread(A_M/A)=7.41e-13  | outer: spread(A'*A'_M)=7.41e-13  spread(A'_M/A')=1.77e-48  | max|A_M-A_{-M}|=3.16e-48   A*A_M[0]=-266.2123489268229659618262
   M=M3        spread(A*A_M)=8.5e-50   spread(A_M/A)=7.41e-13  | outer: spread(A'*A'_M)=7.41e-13  spread(A'_M/A')=1.08e-49  | max|A_M-A_{-M}|=4.38e-47   A*A_M[0]=-63909.44190745234042953077
   M=Mc        spread(A*A_M)=1.28e-49  spread(A_M/A)=7.41e-13  | outer: spread(A'*A'_M)=7.41e-13  spread(A'_M/A')=2.79e-49  | max|A_M-A_{-M}|=1.2e-48    A*A_M[0]=(94.04680911854609591794505 - 23.36026961996314079058294j)
   M=Mx        spread(A*A_M)=2.17e-48  spread(A_M/A)=7.41e-13  | outer: spread(A'*A'_M)=7.41e-13  spread(A'_M/A')=4.74e-49  | max|A_M-A_{-M}|=1.3e-48    A*A_M[0]=5.71578961806046980355332
   M=My        spread(A*A_M)=2.39e-48  spread(A_M/A)=7.41e-13  | outer: spread(A'*A'_M)=7.41e-13  spread(A'_M/A')=2.78e-49  | max|A_M-A_{-M}|=1.23e-48   A*A_M[0]=5.71578961806046980355332
   M=Md        spread(A*A_M)=1.62e-48  spread(A_M/A)=7.41e-13  | outer: spread(A'*A'_M)=7.41e-13  spread(A'_M/A')=2.19e-49  | max|A_M-A_{-M}|=1.03e-48   A*A_M[0]=5.71578961806046980355332
   (0.3s)
[CLAIM] a=2.0 b=1.0 N=32 tau=7 lambda=0.6764459532783805936 closure=3.7e-49 minimal=True max_tangency_defect=3.34e-50 rot/2pi=7.0
   M=O         spread(A*A_M)=5.78e-50  spread(A_M/A)=4.23e-13  | outer: spread(A'*A'_M)=4.23e-13  spread(A'_M/A')=1.98e-50  | max|A_M-A_{-M}|=0.0        A*A_M[0]=449.6270002992006306741345
   M=M1        spread(A*A_M)=1.03e-49  spread(A_M/A)=4.23e-13  | outer: spread(A'*A'_M)=4.23e-13  spread(A'_M/A')=7.25e-50  | max|A_M-A_{-M}|=2.22e-48   A*A_M[0]=473.4810378620351195959076
   M=M2        spread(A*A_M)=2.07e-49  spread(A_M/A)=4.23e-13  | outer: spread(A'*A'_M)=4.23e-13  spread(A'_M/A')=1.35e-49  | max|A_M-A_{-M}|=5.99e-48   A*A_M[0]=748.2926212914023138864714
   M=M3        spread(A*A_M)=5.46e-50  spread(A_M/A)=4.23e-13  | outer: spread(A'*A'_M)=4.23e-13  spread(A'_M/A')=4.83e-50  | max|A_M-A_{-M}|=1.04e-46   A*A_M[0]=57724.47825921619672302509
   M=Mc        spread(A*A_M)=1.74e-49  spread(A_M/A)=4.23e-13  | outer: spread(A'*A'_M)=4.23e-13  spread(A'_M/A')=1.02e-49  | max|A_M-A_{-M}|=3.08e-48   A*A_M[0]=(425.7729627363661417523614 + 20.91312882221105878073256j)
   M=Mx        spread(A*A_M)=1.57e-49  spread(A_M/A)=4.23e-13  | outer: spread(A'*A'_M)=4.23e-13  spread(A'_M/A')=1.11e-49  | max|A_M-A_{-M}|=3.29e-48   A*A_M[0]=504.8507310953517077670064
   M=My        spread(A*A_M)=8.4e-50   spread(A_M/A)=4.23e-13  | outer: spread(A'*A'_M)=4.23e-13  spread(A'_M/A')=3.48e-50  | max|A_M-A_{-M}|=1.24e-48   A*A_M[0]=504.8507310953517077670064
   M=Md        spread(A*A_M)=1.14e-49  spread(A_M/A)=4.23e-13  | outer: spread(A'*A'_M)=4.23e-13  spread(A'_M/A')=7.99e-50  | max|A_M-A_{-M}|=2.57e-48   A*A_M[0]=504.8507310953517077670064
   (0.4s)
[CLAIM] a=1.05 N=36 tau=11: FAILED to construct (no sign change: glo=-69.115038372072506543069194733807971888144812970833 ghi=-79.595594365268077370250128778312069451702730498683)
[CLAIM] a=1.3 b=1.0 N=40 tau=17 lambda=0.99954093065722387135 closure=5.44e-45 minimal=True max_tangency_defect=9.47e-46 rot/2pi=17.0
   M=O         spread(A*A_M)=1.95e-46  spread(A_M/A)=4.95e-8   | outer: spread(A'*A'_M)=4.95e-8   spread(A'_M/A')=1.3e-45   | max|A_M-A_{-M}|=0.0        A*A_M[0]=16.85353947380431165305018
   M=M1        spread(A*A_M)=2.36e-44  spread(A_M/A)=4.95e-8   | outer: spread(A'*A'_M)=4.95e-8   spread(A'_M/A')=8.28e-46  | max|A_M-A_{-M}|=1.87e-45   A*A_M[0]=-0.9094264260998958287834966
   M=M2        spread(A*A_M)=8.93e-46  spread(A_M/A)=4.95e-8   | outer: spread(A'*A'_M)=4.95e-8   spread(A'_M/A')=2.96e-45  | max|A_M-A_{-M}|=5.46e-45   A*A_M[0]=-205.5485267249963135304564
   M=M3        spread(A*A_M)=7.49e-46  spread(A_M/A)=4.95e-8   | outer: spread(A'*A'_M)=4.95e-8   spread(A'_M/A')=1.84e-45  | max|A_M-A_{-M}|=6.58e-44   A*A_M[0]=-42633.0008993961926033245
   M=Mc        spread(A*A_M)=7.45e-46  spread(A_M/A)=4.95e-8   | outer: spread(A'*A'_M)=4.95e-8   spread(A'_M/A')=1.54e-45  | max|A_M-A_{-M}|=2.24e-45   A*A_M[0]=(34.61650537370851913488385 - 15.57301119991601751831993j)
   M=Mx        spread(A*A_M)=1.34e-45  spread(A_M/A)=4.95e-8   | outer: spread(A'*A'_M)=4.95e-8   spread(A'_M/A')=1.16e-45  | max|A_M-A_{-M}|=2.33e-45   A*A_M[0]=-24.2689432259739221062634
   M=My        spread(A*A_M)=2.1e-45   spread(A_M/A)=4.95e-8   | outer: spread(A'*A'_M)=4.95e-8   spread(A'_M/A')=1.03e-45  | max|A_M-A_{-M}|=3.38e-45   A*A_M[0]=-24.2689432259739221062634
   M=Md        spread(A*A_M)=2.0e-45   spread(A_M/A)=4.95e-8   | outer: spread(A'*A'_M)=4.95e-8   spread(A'_M/A')=5.33e-46  | max|A_M-A_{-M}|=3.16e-45   A*A_M[0]=-24.2689432259739221062634
   (0.5s)
[CLAIM] a=5.0 b=1.0 N=12 tau=1 lambda=0.23114509145428404315 closure=6.46e-50 minimal=True max_tangency_defect=8.02e-51 rot/2pi=1.0
   M=O         spread(A*A_M)=4.43e-50  spread(A_M/A)=0.00114   | outer: spread(A'*A'_M)=0.00114   spread(A'_M/A')=5.07e-50  | max|A_M-A_{-M}|=0.0        A*A_M[0]=417.2067014679940021479224
   M=M1        spread(A*A_M)=8.3e-50   spread(A_M/A)=0.00114   | outer: spread(A'*A'_M)=0.00114   spread(A'_M/A')=8.09e-50  | max|A_M-A_{-M}|=1.24e-48   A*A_M[0]=428.6526629761815647661831
   M=M2        spread(A*A_M)=5.37e-50  spread(A_M/A)=0.00114   | outer: spread(A'*A'_M)=0.00114   spread(A'_M/A')=3.16e-50  | max|A_M-A_{-M}|=3.76e-48   A*A_M[0]=560.5164113102327998614879
   M=M3        spread(A*A_M)=7.22e-50  spread(A_M/A)=0.00114   | outer: spread(A'*A'_M)=0.00114   spread(A'_M/A')=7.99e-50  | max|A_M-A_{-M}|=6.02e-47   A*A_M[0]=27899.58745859938322188602
   M=Mc        spread(A*A_M)=8.73e-50  spread(A_M/A)=0.00114   | outer: spread(A'*A'_M)=0.00114   spread(A'_M/A')=8.17e-50  | max|A_M-A_{-M}|=1.79e-48   A*A_M[0]=(405.7607399598064395296617 + 10.03481556882197270642034j)
   M=Mx        spread(A*A_M)=1.06e-49  spread(A_M/A)=0.00114   | outer: spread(A'*A'_M)=0.00114   spread(A'_M/A')=9.81e-50  | max|A_M-A_{-M}|=1.97e-48   A*A_M[0]=443.7048863294145238258136
   M=My        spread(A*A_M)=4.47e-50  spread(A_M/A)=0.00114   | outer: spread(A'*A'_M)=0.00114   spread(A'_M/A')=4.77e-50  | max|A_M-A_{-M}|=8.55e-50   A*A_M[0]=443.7048863294145238258136
   M=Md        spread(A*A_M)=8.79e-50  spread(A_M/A)=0.00114   | outer: spread(A'*A'_M)=0.00114   spread(A'_M/A')=8.22e-50  | max|A_M-A_{-M}|=1.37e-48   A*A_M[0]=443.7048863294145238258136
   (0.1s)
[CLAIM] a=5.0 b=1.0 N=16 tau=5 lambda=0.99812317986460950465 closure=1.63e-45 minimal=True max_tangency_defect=9.84e-47 rot/2pi=5.0
   M=O         spread(A*A_M)=2.62e-46  spread(A_M/A)=0.0223    | outer: spread(A'*A'_M)=0.0223    spread(A'_M/A')=1.09e-45  | max|A_M-A_{-M}|=0.0        A*A_M[0]=40.75672390815873267616733
   M=M1        spread(A*A_M)=2.55e-46  spread(A_M/A)=0.0223    | outer: spread(A'*A'_M)=0.0223    spread(A'_M/A')=9.59e-46  | max|A_M-A_{-M}|=2.64e-46   A*A_M[0]=39.63256522379809753275936
   M=M2        spread(A*A_M)=7.66e-46  spread(A_M/A)=0.0223    | outer: spread(A'*A'_M)=0.0223    spread(A'_M/A')=1.79e-45  | max|A_M-A_{-M}|=1.66e-45   A*A_M[0]=26.68164120260228718199084
   M=M3        spread(A*A_M)=2.31e-46  spread(A_M/A)=0.0223    | outer: spread(A'*A'_M)=0.0223    spread(A'_M/A')=1.51e-45  | max|A_M-A_{-M}|=1.92e-44   A*A_M[0]=-2658.409874977855596517238
   M=Mc        spread(A*A_M)=2.44e-46  spread(A_M/A)=0.0223    | outer: spread(A'*A'_M)=0.0223    spread(A'_M/A')=1.0e-45   | max|A_M-A_{-M}|=5.97e-46   A*A_M[0]=(41.8808825925193678195753 - 0.9855637780695979339467125j)
   M=Mx        spread(A*A_M)=2.42e-46  spread(A_M/A)=0.0223    | outer: spread(A'*A'_M)=0.0223    spread(A'_M/A')=8.41e-46  | max|A_M-A_{-M}|=1.07e-46   A*A_M[0]=38.15421955669370063183929
   M=My        spread(A*A_M)=4.4e-46   spread(A_M/A)=0.0223    | outer: spread(A'*A'_M)=0.0223    spread(A'_M/A')=1.2e-45   | max|A_M-A_{-M}|=1.23e-45   A*A_M[0]=38.15421955669370063183929
   M=Md        spread(A*A_M)=3.47e-46  spread(A_M/A)=0.0223    | outer: spread(A'*A'_M)=0.0223    spread(A'_M/A')=9.86e-46  | max|A_M-A_{-M}|=8.45e-46   A*A_M[0]=38.15421955669370063183929
   (0.2s)
[CLAIM] a=1.01 b=1.0 N=20 tau=7 lambda=0.80170698892001189609 closure=2.77e-49 minimal=True max_tangency_defect=4.28e-50 rot/2pi=7.0
   M=O         spread(A*A_M)=5.91e-50  spread(A_M/A)=1.02e-21  | outer: spread(A'*A'_M)=1.02e-21  spread(A'_M/A')=6.49e-51  | max|A_M-A_{-M}|=0.0        A*A_M[0]=13.75947120545949818685536
   M=M1        spread(A*A_M)=8.72e-49  spread(A_M/A)=1.02e-21  | outer: spread(A'*A'_M)=1.02e-21  spread(A'_M/A')=4.32e-50  | max|A_M-A_{-M}|=3.59e-50   A*A_M[0]=-0.4161212178234433870891393
   M=M2        spread(A*A_M)=2.51e-50  spread(A_M/A)=1.02e-21  | outer: spread(A'*A'_M)=1.02e-21  spread(A'_M/A')=9.19e-50  | max|A_M-A_{-M}|=1.71e-49   A*A_M[0]=-163.7267133819460990540387
   M=M3        spread(A*A_M)=3.09e-50  spread(A_M/A)=1.02e-21  | outer: spread(A'*A'_M)=1.02e-21  spread(A'_M/A')=2.77e-50  | max|A_M-A_{-M}|=2.19e-47   A*A_M[0]=-34022.61468188720009436478
   M=Mc        spread(A*A_M)=4.25e-50  spread(A_M/A)=1.02e-21  | outer: spread(A'*A'_M)=1.02e-21  spread(A'_M/A')=3.62e-50  | max|A_M-A_{-M}|=5.45e-50   A*A_M[0]=(27.93506362874243976079985 - 12.42791664506997617441709j)
   M=Mx        spread(A*A_M)=2.47e-50  spread(A_M/A)=1.02e-21  | outer: spread(A'*A'_M)=1.02e-21  spread(A'_M/A')=9.41e-50  | max|A_M-A_{-M}|=6.41e-50   A*A_M[0]=-19.05799618542840764871478
   M=My        spread(A*A_M)=2.24e-50  spread(A_M/A)=1.02e-21  | outer: spread(A'*A'_M)=1.02e-21  spread(A'_M/A')=1.05e-49  | max|A_M-A_{-M}|=4.81e-50   A*A_M[0]=-19.05799618542840764871478
   M=Md        spread(A*A_M)=1.57e-50  spread(A_M/A)=1.02e-21  | outer: spread(A'*A'_M)=1.02e-21  spread(A'_M/A')=1.07e-49  | max|A_M-A_{-M}|=4.81e-50   A*A_M[0]=-19.05799618542840764871478
   (0.2s)
=== PART B: controls (N = 2 mod 4: ratio, not product; odd N: M = O only) ===
[CONTROL] a=1.3 b=1.0 N=6 tau=1 lambda=0.31947069943289224953 closure=1.8e-50 minimal=True max_tangency_defect=5.35e-51 rot/2pi=1.0
   M=O         spread(A*A_M)=0.00133   spread(A_M/A)=7.09e-51  | outer: spread(A'*A'_M)=2.35e-50  spread(A'_M/A')=0.00133   | max|A_M-A_{-M}|=0.0        A*A_M[0]=8.51120786563043223219439
   M=M1        spread(A*A_M)=0.00133   spread(A_M/A)=2.55e-50  | outer: spread(A'*A'_M)=2.43e-50  spread(A'_M/A')=0.00133   | max|A_M-A_{-M}|=9.62e-50   A*A_M[0]=10.06839627212422058545301
   M=M2        spread(A*A_M)=0.00133   spread(A_M/A)=2.8e-50   | outer: spread(A'*A'_M)=2.84e-50  spread(A'_M/A')=0.00133   | max|A_M-A_{-M}|=2.57e-49   A*A_M[0]=28.00805996885402887436399
   M=M3        spread(A*A_M)=0.00133   spread(A_M/A)=1.24e-50  | outer: spread(A'*A'_M)=6.4e-51   spread(A'_M/A')=0.00133   | max|A_M-A_{-M}|=8.21e-48   A*A_M[0]=3747.405897249352914343312
   M=Mc        spread(A*A_M)=0.00133   spread(A_M/A)=5.19e-50  | outer: spread(A'*A'_M)=3.86e-50  spread(A'_M/A')=0.00133   | max|A_M-A_{-M}|=1.27e-49   A*A_M[0]=(6.954019459136643878935767 + 1.365206274186334994637697j)
   M=Mx        spread(A*A_M)=0.00133   spread(A_M/A)=3.48e-50  | outer: spread(A'*A'_M)=3.36e-50  spread(A'_M/A')=0.00133   | max|A_M-A_{-M}|=1.39e-49   A*A_M[0]=12.11620568340372307740956
   M=My        spread(A*A_M)=0.00133   spread(A_M/A)=9.96e-51  | outer: spread(A'*A'_M)=2.31e-50  spread(A'_M/A')=0.00133   | max|A_M-A_{-M}|=4.28e-50   A*A_M[0]=12.11620568340372307740956
   M=Md        spread(A*A_M)=0.00133   spread(A_M/A)=2.49e-50  | outer: spread(A'*A'_M)=2.73e-50  spread(A'_M/A')=0.00133   | max|A_M-A_{-M}|=1.18e-49   A*A_M[0]=12.11620568340372307740956
   (0.1s)
[CONTROL] a=1.3 b=1.0 N=10 tau=1 lambda=0.12274293985932154761 closure=7.56e-50 minimal=True max_tangency_defect=5.35e-51 rot/2pi=1.0
   M=O         spread(A*A_M)=9.95e-7   spread(A_M/A)=7.21e-51  | outer: spread(A'*A'_M)=2.33e-50  spread(A'_M/A')=9.95e-7   | max|A_M-A_{-M}|=0.0        A*A_M[0]=13.4809942780954065497322
   M=M1        spread(A*A_M)=9.95e-7   spread(A_M/A)=2.55e-50  | outer: spread(A'*A'_M)=2.12e-50  spread(A'_M/A')=9.95e-7   | max|A_M-A_{-M}|=1.18e-49   A*A_M[0]=16.76674465492499265419897
   M=M2        spread(A*A_M)=9.95e-7   spread(A_M/A)=2.56e-50  | outer: spread(A'*A'_M)=3.16e-50  spread(A'_M/A')=9.95e-7   | max|A_M-A_{-M}|=4.06e-49   A*A_M[0]=54.62038940716721065223389
   M=M3        spread(A*A_M)=9.95e-7   spread(A_M/A)=7.56e-51  | outer: spread(A'*A'_M)=7.48e-51  spread(A'_M/A')=9.95e-7   | max|A_M-A_{-M}|=1.09e-47   A*A_M[0]=7902.747690162470250832213
   M=Mc        spread(A*A_M)=9.95e-7   spread(A_M/A)=5.35e-50  | outer: spread(A'*A'_M)=4.01e-50  spread(A'_M/A')=9.95e-7   | max|A_M-A_{-M}|=1.78e-49   A*A_M[0]=(10.19524390126582044526544 + 2.880657864617719324464013j)
   M=Mx        spread(A*A_M)=9.95e-7   spread(A_M/A)=2.77e-50  | outer: spread(A'*A'_M)=2.4e-50   spread(A'_M/A')=9.95e-7   | max|A_M-A_{-M}|=1.82e-49   A*A_M[0]=21.08773145185157164089499
   M=My        spread(A*A_M)=9.95e-7   spread(A_M/A)=5.53e-51  | outer: spread(A'*A'_M)=2.23e-50  spread(A'_M/A')=9.95e-7   | max|A_M-A_{-M}|=5.35e-50   A*A_M[0]=21.08773145185157164089499
   M=Md        spread(A*A_M)=9.95e-7   spread(A_M/A)=1.84e-50  | outer: spread(A'*A'_M)=2.06e-50  spread(A'_M/A')=9.95e-7   | max|A_M-A_{-M}|=1.07e-49   A*A_M[0]=21.08773145185157164089499
   (0.1s)
[CONTROL] a=1.3 b=1.0 N=10 tau=3 lambda=0.80479819890338408287 closure=2.99e-51 minimal=True max_tangency_defect=3.47e-50 rot/2pi=3.0
   M=O         spread(A*A_M)=0.000114  spread(A_M/A)=6.11e-51  | outer: spread(A'*A'_M)=2.73e-50  spread(A'_M/A')=0.000114  | max|A_M-A_{-M}|=0.0        A*A_M[0]=11.78492752949355715071824
   M=M1        spread(A*A_M)=0.000114  spread(A_M/A)=3.35e-50  | outer: spread(A'*A'_M)=3.76e-50  spread(A'_M/A')=0.000114  | max|A_M-A_{-M}|=5.08e-50   A*A_M[0]=8.953032575586136799214183
   M=M2        spread(A*A_M)=0.000114  spread(A_M/A)=4.26e-50  | outer: spread(A'*A'_M)=3.0e-48   spread(A'_M/A')=0.000114  | max|A_M-A_{-M}|=1.98e-49   A*A_M[0]=-23.67194901668976067496272
   M=M3        spread(A*A_M)=0.000114  spread(A_M/A)=1.81e-50  | outer: spread(A'*A'_M)=1.85e-50  spread(A'_M/A')=0.000114  | max|A_M-A_{-M}|=5.47e-48   A*A_M[0]=-6787.750029128464209295542
   M=Mc        spread(A*A_M)=0.000114  spread(A_M/A)=2.44e-50  | outer: spread(A'*A'_M)=3.75e-50  spread(A'_M/A')=0.000114  | max|A_M-A_{-M}|=6.31e-50   A*A_M[0]=(14.6168224834009775022223 - 2.482757219864039760222737j)
   M=Mx        spread(A*A_M)=0.000114  spread(A_M/A)=9.17e-50  | outer: spread(A'*A'_M)=5.51e-50  spread(A'_M/A')=0.000114  | max|A_M-A_{-M}|=7.62e-50   A*A_M[0]=5.228896745790077158880077
   M=My        spread(A*A_M)=0.000114  spread(A_M/A)=5.05e-50  | outer: spread(A'*A'_M)=5.69e-50  spread(A'_M/A')=0.000114  | max|A_M-A_{-M}|=6.15e-50   A*A_M[0]=5.228896745790077158880077
   M=Md        spread(A*A_M)=0.000114  spread(A_M/A)=8.03e-50  | outer: spread(A'*A'_M)=3.91e-50  spread(A'_M/A')=0.000114  | max|A_M-A_{-M}|=7.08e-50   A*A_M[0]=5.228896745790077158880077
   (0.1s)
[CONTROL] a=1.3 b=1.0 N=14 tau=3 lambda=0.49294549850360200469 closure=9.73e-51 minimal=True max_tangency_defect=1.87e-50 rot/2pi=3.0
   M=O         spread(A*A_M)=2.0e-8    spread(A_M/A)=8.88e-51  | outer: spread(A'*A'_M)=3.64e-50  spread(A'_M/A')=2.0e-8    | max|A_M-A_{-M}|=0.0        A*A_M[0]=46.3674392278385476887932
   M=M1        spread(A*A_M)=2.0e-8    spread(A_M/A)=3.23e-50  | outer: spread(A'*A'_M)=3.92e-50  spread(A'_M/A')=2.0e-8    | max|A_M-A_{-M}|=1.92e-49   A*A_M[0]=51.02482543836405790264344
   M=M2        spread(A*A_M)=2.0e-8    spread(A_M/A)=3.74e-50  | outer: spread(A'*A'_M)=4.26e-50  spread(A'_M/A')=2.0e-8    | max|A_M-A_{-M}|=6.41e-49   A*A_M[0]=104.6804665760620591334387
   M=M3        spread(A*A_M)=2.0e-8    spread(A_M/A)=2.82e-50  | outer: spread(A'*A'_M)=2.68e-50  spread(A'_M/A')=2.0e-8    | max|A_M-A_{-M}|=1.09e-47   A*A_M[0]=11229.00692994400092786728
   M=Mc        spread(A*A_M)=2.0e-8    spread(A_M/A)=5.12e-50  | outer: spread(A'*A'_M)=5.55e-50  spread(A'_M/A')=2.0e-8    | max|A_M-A_{-M}|=3.04e-49   A*A_M[0]=(41.71005301731303747494295 + 4.083187910597707584745421j)
   M=Mx        spread(A*A_M)=2.0e-8    spread(A_M/A)=4.32e-50  | outer: spread(A'*A'_M)=4.78e-50  spread(A'_M/A')=2.0e-8    | max|A_M-A_{-M}|=3.31e-49   A*A_M[0]=57.14960730426061927976158
   M=My        spread(A*A_M)=2.0e-8    spread(A_M/A)=1.98e-50  | outer: spread(A'*A'_M)=3.42e-50  spread(A'_M/A')=2.0e-8    | max|A_M-A_{-M}|=2.14e-49   A*A_M[0]=57.14960730426061927976158
   M=Md        spread(A*A_M)=2.0e-8    spread(A_M/A)=3.96e-50  | outer: spread(A'*A'_M)=3.64e-50  spread(A'_M/A')=2.0e-8    | max|A_M-A_{-M}|=2.57e-49   A*A_M[0]=57.14960730426061927976158
   (0.2s)
[CONTROL] a=1.3 b=1.0 N=18 tau=5 lambda=0.72976437798262307636 closure=2.05e-49 minimal=True max_tangency_defect=1.87e-50 rot/2pi=5.0
   M=O         spread(A*A_M)=1.83e-9   spread(A_M/A)=1.86e-50  | outer: spread(A'*A'_M)=6.67e-50  spread(A'_M/A')=1.83e-9   | max|A_M-A_{-M}|=0.0        A*A_M[0]=49.89801938626202016299526
   M=M1        spread(A*A_M)=1.83e-9   spread(A_M/A)=6.32e-50  | outer: spread(A'*A'_M)=1.08e-49  spread(A'_M/A')=1.83e-9   | max|A_M-A_{-M}|=3.05e-49   A*A_M[0]=44.15537064441898345095618
   M=M2        spread(A*A_M)=1.83e-9   spread(A_M/A)=4.09e-49  | outer: spread(A'*A'_M)=4.53e-49  spread(A'_M/A')=1.83e-9   | max|A_M-A_{-M}|=7.32e-49   A*A_M[0]=-22.00308951845764497130234
   M=M3        spread(A*A_M)=1.83e-9   spread(A_M/A)=3.15e-50  | outer: spread(A'*A'_M)=3.2e-50   spread(A'_M/A')=1.83e-9   | max|A_M-A_{-M}|=1.64e-47   A*A_M[0]=-13738.51627546335367539967
   M=Mc        spread(A*A_M)=1.83e-9   spread(A_M/A)=7.09e-50  | outer: spread(A'*A'_M)=1.22e-49  spread(A'_M/A')=1.83e-9   | max|A_M-A_{-M}|=3.95e-49   A*A_M[0]=(55.64066812810505687503435 - 5.034650951752799309184952j)
   M=Mx        spread(A*A_M)=1.83e-9   spread(A_M/A)=1.22e-49  | outer: spread(A'*A'_M)=1.57e-49  spread(A'_M/A')=1.83e-9   | max|A_M-A_{-M}|=4.38e-49   A*A_M[0]=36.60339421678978448717875
   M=My        spread(A*A_M)=1.83e-9   spread(A_M/A)=1.18e-49  | outer: spread(A'*A'_M)=7.26e-50  spread(A'_M/A')=1.83e-9   | max|A_M-A_{-M}|=4.76e-49   A*A_M[0]=36.60339421678978448717875
   M=Md        spread(A*A_M)=1.83e-9   spread(A_M/A)=1.04e-49  | outer: spread(A'*A'_M)=1.32e-49  spread(A'_M/A')=1.83e-9   | max|A_M-A_{-M}|=4.33e-49   A*A_M[0]=36.60339421678978448717875
   (0.2s)
[CONTROL] a=1.3 b=1.0 N=3 tau=1 lambda=0.89996773598471389225 closure=2.55e-50 minimal=True max_tangency_defect=8.02e-51 rot/2pi=1.0
   M=O         spread(A*A_M)=2.11e-50  spread(A_M/A)=0.0318    | outer: spread(A'*A'_M)=2.47e-50  spread(A'_M/A')=0.0318    | max|A_M-A_{-M}|=0.0        A*A_M[0]=0.6347948096161154119681114
   M=M1        spread(A*A_M)=0.403     spread(A_M/A)=0.397     | outer: spread(A'*A'_M)=0.312     spread(A'_M/A')=0.316     | max|A_M-A_{-M}|=0.104      A*A_M[0]=0.2358258355862130680861273
   M=M2        spread(A*A_M)=0.194     spread(A_M/A)=0.188     | outer: spread(A'*A'_M)=1.01      spread(A'_M/A')=1.01      | max|A_M-A_{-M}|=0.45       A*A_M[0]=-3.421902842329013252099294
   M=M3        spread(A*A_M)=0.0112    spread(A_M/A)=0.0334    | outer: spread(A'*A'_M)=0.0521    spread(A'_M/A')=0.0614    | max|A_M-A_{-M}|=5.72       A*A_M[0]=-754.4952609306068062242928
   M=Mc        spread(A*A_M)=0.226     spread(A_M/A)=0.224     | outer: spread(A'*A'_M)=0.33      spread(A'_M/A')=0.341     | max|A_M-A_{-M}|=0.159      A*A_M[0]=(1.014895775405828675477742 - 0.3612911321993847225405656j)
   M=Mx        spread(A*A_M)=1.0       spread(A_M/A)=1.0       | outer: spread(A'*A'_M)=0.496     spread(A'_M/A')=0.498     | max|A_M-A_{-M}|=0.118      A*A_M[0]=-0.1610620728378733875474015
   M=My        spread(A*A_M)=1.44      spread(A_M/A)=1.44      | outer: spread(A'*A'_M)=0.62      spread(A'_M/A')=0.621     | max|A_M-A_{-M}|=0.326      A*A_M[0]=-0.2801065473987267932942181
   M=Md        spread(A*A_M)=1.37      spread(A_M/A)=1.36      | outer: spread(A'*A'_M)=0.569     spread(A'_M/A')=0.566     | max|A_M-A_{-M}|=0.245      A*A_M[0]=-0.2729647293371700954615498
   (0.1s)
[CONTROL] a=1.3 b=1.0 N=5 tau=1 lambda=0.43930938350493627342 closure=7.72e-50 minimal=True max_tangency_defect=6.68e-51 rot/2pi=1.0
   M=O         spread(A*A_M)=1.58e-50  spread(A_M/A)=4.99e-6   | outer: spread(A'*A'_M)=2.02e-50  spread(A'_M/A')=4.99e-6   | max|A_M-A_{-M}|=0.0        A*A_M[0]=6.090428162631953888663789
   M=M1        spread(A*A_M)=0.00434   spread(A_M/A)=0.00434   | outer: spread(A'*A'_M)=0.00437   spread(A'_M/A')=0.00437   | max|A_M-A_{-M}|=0.01       A*A_M[0]=6.868103792790126876162342
   M=M2        spread(A*A_M)=0.00616   spread(A_M/A)=0.00616   | outer: spread(A'*A'_M)=0.00776   spread(A'_M/A')=0.00776   | max|A_M-A_{-M}|=0.0329     A*A_M[0]=16.05694221093760186279196
   M=M3        spread(A*A_M)=0.00072   spread(A_M/A)=0.000722  | outer: spread(A'*A'_M)=0.00106   spread(A'_M/A')=0.00107   | max|A_M-A_{-M}|=0.452      A*A_M[0]=1907.774262680238883969393
   M=Mc        spread(A*A_M)=0.00804   spread(A_M/A)=0.00804   | outer: spread(A'*A'_M)=0.0074    spread(A'_M/A')=0.0074    | max|A_M-A_{-M}|=0.0141     A*A_M[0]=(5.290612125398372272220804 + 0.6744524458625835899385737j)
   M=Mx        spread(A*A_M)=0.00601   spread(A_M/A)=0.00601   | outer: spread(A'*A'_M)=0.00629   spread(A'_M/A')=0.00629   | max|A_M-A_{-M}|=0.0156     A*A_M[0]=7.900770401468414510179586
   M=My        spread(A*A_M)=0.00429   spread(A_M/A)=0.00429   | outer: spread(A'*A'_M)=0.00488   spread(A'_M/A')=0.00488   | max|A_M-A_{-M}|=0.0122     A*A_M[0]=7.925008463845684274865599
   M=Md        spread(A*A_M)=0.00524   spread(A_M/A)=0.00524   | outer: spread(A'*A'_M)=0.00572   spread(A'_M/A')=0.00572   | max|A_M-A_{-M}|=0.0138     A*A_M[0]=7.908009084510947742991129
   (0.1s)
[CONTROL] a=1.3 b=1.0 N=5 tau=2 lambda=0.99437613659958236344 closure=2.7e-48 minimal=True max_tangency_defect=1.67e-48 rot/2pi=2.0
   M=O         spread(A*A_M)=2.78e-48  spread(A_M/A)=0.0237    | outer: spread(A'*A'_M)=9.44e-48  spread(A'_M/A')=0.0237    | max|A_M-A_{-M}|=0.0        A*A_M[0]=0.4783669132622120061862827
   M=M1        spread(A*A_M)=1.41      spread(A_M/A)=1.42      | outer: spread(A'*A'_M)=0.288     spread(A'_M/A')=0.286     | max|A_M-A_{-M}|=0.0608     A*A_M[0]=-0.05274803969534258900830454
   M=M2        spread(A*A_M)=0.082     spread(A_M/A)=0.0676    | outer: spread(A'*A'_M)=0.607     spread(A'_M/A')=0.608     | max|A_M-A_{-M}|=0.345      A*A_M[0]=-5.830183994762476019387746
   M=M3        spread(A*A_M)=0.00475   spread(A_M/A)=0.0266    | outer: spread(A'*A'_M)=0.033     spread(A'_M/A')=0.0464    | max|A_M-A_{-M}|=3.93       A*A_M[0]=-1156.912688319414332227589
   M=Mc        spread(A*A_M)=0.152     spread(A_M/A)=0.139     | outer: spread(A'*A'_M)=0.263     spread(A'_M/A')=0.267     | max|A_M-A_{-M}|=0.128      A*A_M[0]=(1.053571439556318972919014 - 0.4566506229343002952707326j)
   M=Mx        spread(A*A_M)=0.0151    spread(A_M/A)=0.0315    | outer: spread(A'*A'_M)=0.49      spread(A'_M/A')=0.488     | max|A_M-A_{-M}|=0.00608    A*A_M[0]=-0.6428500551413968637359591
   M=My        spread(A*A_M)=0.417     spread(A_M/A)=0.408     | outer: spread(A'*A'_M)=0.595     spread(A'_M/A')=0.601     | max|A_M-A_{-M}|=0.264      A*A_M[0]=-0.8412596931869087529547916
   M=Md        spread(A*A_M)=0.316     spread(A_M/A)=0.305     | outer: spread(A'*A'_M)=0.574     spread(A'_M/A')=0.578     | max|A_M-A_{-M}|=0.186      A*A_M[0]=-0.7841623444221247518264722
   (0.1s)
[CONTROL] a=1.3 b=1.0 N=7 tau=2 lambda=0.75736897777454951398 closure=8.31e-50 minimal=True max_tangency_defect=1.6e-50 rot/2pi=2.0
   M=O         spread(A*A_M)=6.04e-50  spread(A_M/A)=4.48e-7   | outer: spread(A'*A'_M)=5.41e-50  spread(A'_M/A')=4.48e-7   | max|A_M-A_{-M}|=0.0        A*A_M[0]=6.907324055310048873914387
   M=M1        spread(A*A_M)=0.00135   spread(A_M/A)=0.00135   | outer: spread(A'*A'_M)=0.00131   spread(A'_M/A')=0.00131   | max|A_M-A_{-M}|=0.00189    A*A_M[0]=5.827429601288396527923971
   M=M2        spread(A*A_M)=0.00423   spread(A_M/A)=0.00423   | outer: spread(A'*A'_M)=0.0176    spread(A'_M/A')=0.0176    | max|A_M-A_{-M}|=0.00742    A*A_M[0]=-6.590027448783237178744826
   M=M3        spread(A*A_M)=0.000152  spread(A_M/A)=0.000152  | outer: spread(A'*A'_M)=0.000419  spread(A'_M/A')=0.00042   | max|A_M-A_{-M}|=0.0995     A*A_M[0]=-2579.734652873914084737589
   M=Mc        spread(A*A_M)=0.00138   spread(A_M/A)=0.00138   | outer: spread(A'*A'_M)=0.00167   spread(A'_M/A')=0.00167   | max|A_M-A_{-M}|=0.00257    A*A_M[0]=(7.988088124492512511745615 - 0.9466982072694505416310069j)
   M=Mx        spread(A*A_M)=0.00278   spread(A_M/A)=0.00278   | outer: spread(A'*A'_M)=0.00229   spread(A'_M/A')=0.00229   | max|A_M-A_{-M}|=0.00286    A*A_M[0]=4.412126802208540137837077
   M=My        spread(A*A_M)=0.00375   spread(A_M/A)=0.00375   | outer: spread(A'*A'_M)=0.00257   spread(A'_M/A')=0.00257   | max|A_M-A_{-M}|=0.00384    A*A_M[0]=4.405056892982906886101302
   M=Md        spread(A*A_M)=0.00311   spread(A_M/A)=0.00311   | outer: spread(A'*A'_M)=0.00225   spread(A'_M/A')=0.00225   | max|A_M-A_{-M}|=0.00333    A*A_M[0]=4.40667176881488608638283
   (0.1s)
[CONTROL] a=1.3 b=1.0 N=9 tau=4 lambda=0.99998652066136185427 closure=4.53e-43 minimal=True max_tangency_defect=2.94e-43 rot/2pi=4.0
   M=O         spread(A*A_M)=2.41e-43  spread(A_M/A)=0.0232    | outer: spread(A'*A'_M)=1.49e-42  spread(A'_M/A')=0.0232    | max|A_M-A_{-M}|=0.0        A*A_M[0]=0.4672557005014246773354282
   M=M1        spread(A*A_M)=1.04      spread(A_M/A)=1.04      | outer: spread(A'*A'_M)=0.286     spread(A'_M/A')=0.284     | max|A_M-A_{-M}|=0.06       A*A_M[0]=-0.07342913852431321977562296
   M=M2        spread(A*A_M)=0.0777    spread(A_M/A)=0.0634    | outer: spread(A'*A'_M)=0.591     spread(A'_M/A')=0.592     | max|A_M-A_{-M}|=0.34       A*A_M[0]=-5.984384693917206013251625
   M=M3        spread(A*A_M)=0.00449   spread(A_M/A)=0.026     | outer: spread(A'*A'_M)=0.0322    spread(A'_M/A')=0.0453    | max|A_M-A_{-M}|=3.88       A*A_M[0]=-1183.34494868389847654564
   M=Mc        spread(A*A_M)=0.149     spread(A_M/A)=0.136     | outer: spread(A'*A'_M)=0.259     spread(A'_M/A')=0.265     | max|A_M-A_{-M}|=0.126      A*A_M[0]=(1.054328890994218364928355 - 0.4642820269771551504175541j)
   M=Mx        spread(A*A_M)=3.51e-5   spread(A_M/A)=0.0232    | outer: spread(A'*A'_M)=0.494     spread(A'_M/A')=0.492     | max|A_M-A_{-M}|=1.45e-5    A*A_M[0]=-0.6770601057127402333813419
   M=My        spread(A*A_M)=0.396     spread(A_M/A)=0.387     | outer: spread(A'*A'_M)=0.596     spread(A'_M/A')=0.603     | max|A_M-A_{-M}|=0.26       A*A_M[0]=-0.8780931811324581736727815
   M=Md        spread(A*A_M)=0.302     spread(A_M/A)=0.291     | outer: spread(A'*A'_M)=0.57      spread(A'_M/A')=0.575     | max|A_M-A_{-M}|=0.184      A*A_M[0]=-0.8192142880174832747253612
   (0.1s)
[CONTROL] a=2.0 b=1.0 N=6 tau=1 lambda=0.44444444444444444444 closure=1.4e-49 minimal=True max_tangency_defect=1.87e-50 rot/2pi=1.0
   M=O         spread(A*A_M)=0.0234    spread(A_M/A)=1.72e-50  | outer: spread(A'*A'_M)=1.71e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=0.0        A*A_M[0]=19.46712968844003421205535
   M=M1        spread(A*A_M)=0.0234    spread(A_M/A)=2.18e-50  | outer: spread(A'*A'_M)=2.77e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=1.82e-49   A*A_M[0]=21.49727321309163777988398
   M=M2        spread(A*A_M)=0.0234    spread(A_M/A)=5.22e-50  | outer: spread(A'*A'_M)=4.24e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=5.35e-49   A*A_M[0]=44.88563902448887888322477
   M=M3        spread(A*A_M)=0.0234    spread(A_M/A)=1.4e-50   | outer: spread(A'*A'_M)=1.82e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=9.58e-48   A*A_M[0]=4893.952973118017000764092
   M=Mc        spread(A*A_M)=0.0234    spread(A_M/A)=4.99e-50  | outer: spread(A'*A'_M)=3.18e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=2.66e-49   A*A_M[0]=(17.43698616378843064422672 + 1.779851857228803127959346j)
   M=Mx        spread(A*A_M)=0.0234    spread(A_M/A)=3.32e-50  | outer: spread(A'*A'_M)=3.06e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=2.99e-49   A*A_M[0]=24.167050998934842471823
   M=My        spread(A*A_M)=0.0234    spread(A_M/A)=1.11e-50  | outer: spread(A'*A'_M)=1.8e-50   spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=6.41e-50   A*A_M[0]=24.167050998934842471823
   M=Md        spread(A*A_M)=0.0234    spread(A_M/A)=2.63e-50  | outer: spread(A'*A'_M)=2.88e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=2.25e-49   A*A_M[0]=24.167050998934842471823
   (0.1s)
[CONTROL] a=2.0 b=1.0 N=10 tau=1 lambda=0.1766324419090589701 closure=2.08e-49 minimal=True max_tangency_defect=9.35e-51 rot/2pi=1.0
   M=O         spread(A*A_M)=0.000123  spread(A_M/A)=1.76e-50  | outer: spread(A'*A'_M)=1.92e-50  spread(A'_M/A')=0.000123  | max|A_M-A_{-M}|=0.0        A*A_M[0]=35.79777287925215894355878
   M=M1        spread(A*A_M)=0.000123  spread(A_M/A)=3.33e-50  | outer: spread(A'*A'_M)=2.91e-50  spread(A'_M/A')=0.000123  | max|A_M-A_{-M}|=1.82e-49   A*A_M[0]=40.58974679940292055018139
   M=M2        spread(A*A_M)=0.000123  spread(A_M/A)=2.44e-50  | outer: spread(A'*A'_M)=1.81e-50  spread(A'_M/A')=0.000123  | max|A_M-A_{-M}|=5.56e-49   A*A_M[0]=95.79591209867402344291594
   M=M3        spread(A*A_M)=0.000123  spread(A_M/A)=2.4e-50   | outer: spread(A'*A'_M)=1.32e-50  spread(A'_M/A')=0.000123  | max|A_M-A_{-M}|=1.09e-47   A*A_M[0]=11541.58972907466369488866
   M=Mc        spread(A*A_M)=0.000123  spread(A_M/A)=4.92e-50  | outer: spread(A'*A'_M)=3.81e-50  spread(A'_M/A')=0.000123  | max|A_M-A_{-M}|=2.63e-49   A*A_M[0]=(31.00579895910139733693616 + 4.201182614926695107175994j)
   M=Mx        spread(A*A_M)=0.000123  spread(A_M/A)=4.23e-50  | outer: spread(A'*A'_M)=3.29e-50  spread(A'_M/A')=0.000123  | max|A_M-A_{-M}|=2.99e-49   A*A_M[0]=46.89152072179296321094539
   M=My        spread(A*A_M)=0.000123  spread(A_M/A)=1.54e-50  | outer: spread(A'*A'_M)=1.49e-50  spread(A'_M/A')=0.000123  | max|A_M-A_{-M}|=6.41e-50   A*A_M[0]=46.89152072179296321094539
   M=Md        spread(A*A_M)=0.000123  spread(A_M/A)=3.07e-50  | outer: spread(A'*A'_M)=2.69e-50  spread(A'_M/A')=0.000123  | max|A_M-A_{-M}|=1.92e-49   A*A_M[0]=46.89152072179296321094539
   (0.1s)
[CONTROL] a=2.0 b=1.0 N=10 tau=3 lambda=0.93878425472246312792 closure=1.63e-49 minimal=True max_tangency_defect=4.41e-50 rot/2pi=3.0
   M=O         spread(A*A_M)=0.0098    spread(A_M/A)=1.11e-49  | outer: spread(A'*A'_M)=1.0e-49   spread(A'_M/A')=0.0098    | max|A_M-A_{-M}|=0.0        A*A_M[0]=15.99170272832035062686437
   M=M1        spread(A*A_M)=0.0098    spread(A_M/A)=8.77e-50  | outer: spread(A'*A'_M)=7.9e-50   spread(A'_M/A')=0.0098    | max|A_M-A_{-M}|=2.14e-49   A*A_M[0]=13.98688618535902552486257
   M=M2        spread(A*A_M)=0.0098    spread(A_M/A)=5.88e-49  | outer: spread(A'*A'_M)=5.86e-49  spread(A'_M/A')=0.0098    | max|A_M-A_{-M}|=6.84e-49   A*A_M[0]=-9.109698919168021198199257
   M=M3        spread(A*A_M)=0.0098    spread(A_M/A)=6.55e-50  | outer: spread(A'*A'_M)=5.44e-50  spread(A'_M/A')=0.0098    | max|A_M-A_{-M}|=1.51e-47   A*A_M[0]=-4797.682669883079374079566
   M=Mc        spread(A*A_M)=0.0098    spread(A_M/A)=1.35e-49  | outer: spread(A'*A'_M)=1.27e-49  spread(A'_M/A')=0.0098    | max|A_M-A_{-M}|=2.82e-49   A*A_M[0]=(17.99651927128167572886617 - 1.757647380130476801755002j)
   M=Mx        spread(A*A_M)=0.0098    spread(A_M/A)=8.01e-50  | outer: spread(A'*A'_M)=1.08e-49  spread(A'_M/A')=0.0098    | max|A_M-A_{-M}|=2.08e-49   A*A_M[0]=11.35041511516331032223007
   M=My        spread(A*A_M)=0.0098    spread(A_M/A)=2.74e-49  | outer: spread(A'*A'_M)=9.5e-50   spread(A'_M/A')=0.0098    | max|A_M-A_{-M}|=4.97e-49   A*A_M[0]=11.35041511516331032223007
   M=Md        spread(A*A_M)=0.0098    spread(A_M/A)=1.64e-49  | outer: spread(A'*A'_M)=8.4e-50   spread(A'_M/A')=0.0098    | max|A_M-A_{-M}|=4.62e-49   A*A_M[0]=11.35041511516331032223007
   (0.1s)
[CONTROL] a=2.0 b=1.0 N=14 tau=3 lambda=0.65730561772910173348 closure=5.51e-49 minimal=True max_tangency_defect=3.47e-50 rot/2pi=3.0
   M=O         spread(A*A_M)=1.58e-5   spread(A_M/A)=2.18e-50  | outer: spread(A'*A'_M)=4.29e-50  spread(A'_M/A')=1.58e-5   | max|A_M-A_{-M}|=0.0        A*A_M[0]=88.99162384622104231645988
   M=M1        spread(A*A_M)=1.58e-5   spread(A_M/A)=2.06e-50  | outer: spread(A'*A'_M)=3.58e-50  spread(A'_M/A')=1.58e-5   | max|A_M-A_{-M}|=4.28e-49   A*A_M[0]=94.24325926350226443443592
   M=M2        spread(A*A_M)=1.58e-5   spread(A_M/A)=7.94e-50  | outer: spread(A'*A'_M)=4.54e-50  spread(A'_M/A')=1.58e-5   | max|A_M-A_{-M}|=1.26e-48   A*A_M[0]=154.7449768790297685607079
   M=M3        spread(A*A_M)=1.58e-5   spread(A_M/A)=2.39e-50  | outer: spread(A'*A'_M)=2.23e-50  spread(A'_M/A')=1.58e-5   | max|A_M-A_{-M}|=1.92e-47   A*A_M[0]=12698.45602158321788029573
   M=Mc        spread(A*A_M)=1.58e-5   spread(A_M/A)=4.97e-50  | outer: spread(A'*A'_M)=4.71e-50  spread(A'_M/A')=1.58e-5   | max|A_M-A_{-M}|=6.09e-49   A*A_M[0]=(83.73998842893982019848384 + 4.604173516520523500691324j)
   M=Mx        spread(A*A_M)=1.58e-5   spread(A_M/A)=4.05e-50  | outer: spread(A'*A'_M)=3.6e-50   spread(A'_M/A')=1.58e-5   | max|A_M-A_{-M}|=6.84e-49   A*A_M[0]=101.1495195382830496854729
   M=My        spread(A*A_M)=1.58e-5   spread(A_M/A)=2.13e-50  | outer: spread(A'*A'_M)=3.24e-50  spread(A'_M/A')=1.58e-5   | max|A_M-A_{-M}|=3.21e-50   A*A_M[0]=101.1495195382830496854729
   M=Md        spread(A*A_M)=1.58e-5   spread(A_M/A)=2.13e-50  | outer: spread(A'*A'_M)=3.6e-50   spread(A'_M/A')=1.58e-5   | max|A_M-A_{-M}|=4.6e-49    A*A_M[0]=101.1495195382830496854729
   (0.2s)
[CONTROL] a=2.0 b=1.0 N=18 tau=5 lambda=0.88777396120540785323 closure=7.33e-49 minimal=True max_tangency_defect=5.88e-50 rot/2pi=5.0
   M=O         spread(A*A_M)=7.18e-6   spread(A_M/A)=9.15e-50  | outer: spread(A'*A'_M)=1.79e-49  spread(A'_M/A')=7.18e-6   | max|A_M-A_{-M}|=0.0        A*A_M[0]=72.0566069066766986736456
   M=M1        spread(A*A_M)=7.18e-6   spread(A_M/A)=1.31e-49  | outer: spread(A'*A'_M)=1.6e-49   spread(A'_M/A')=7.18e-6   | max|A_M-A_{-M}|=5.77e-49   A*A_M[0]=67.35288389806933064484764
   M=M2        spread(A*A_M)=7.18e-6   spread(A_M/A)=1.34e-48  | outer: spread(A'*A'_M)=4.22e-49  spread(A'_M/A')=7.18e-6   | max|A_M-A_{-M}|=1.81e-48   A*A_M[0]=13.16341745644198116239441
   M=M3        spread(A*A_M)=7.18e-6   spread(A_M/A)=6.62e-50  | outer: spread(A'*A'_M)=9.07e-50  spread(A'_M/A')=7.18e-6   | max|A_M-A_{-M}|=1.64e-47   A*A_M[0]=-11221.84007500666091754033
   M=Mc        spread(A*A_M)=7.18e-6   spread(A_M/A)=1.33e-49  | outer: spread(A'*A'_M)=1.73e-49  spread(A'_M/A')=7.18e-6   | max|A_M-A_{-M}|=6.79e-49   A*A_M[0]=(76.76032991528406670244357 - 4.123811952751665121137939j)
   M=Mx        spread(A*A_M)=7.18e-6   spread(A_M/A)=1.77e-49  | outer: spread(A'*A'_M)=1.56e-49  spread(A'_M/A')=7.18e-6   | max|A_M-A_{-M}|=6.84e-49   A*A_M[0]=61.16716596894183296314073
   M=My        spread(A*A_M)=7.18e-6   spread(A_M/A)=1.46e-49  | outer: spread(A'*A'_M)=1.76e-49  spread(A'_M/A')=7.18e-6   | max|A_M-A_{-M}|=8.45e-49   A*A_M[0]=61.16716596894183296314073
   M=Md        spread(A*A_M)=7.18e-6   spread(A_M/A)=1.72e-49  | outer: spread(A'*A'_M)=1.58e-49  spread(A'_M/A')=7.18e-6   | max|A_M-A_{-M}|=1.02e-48   A*A_M[0]=61.16716596894183296314073
   (0.2s)
[CONTROL] a=2.0 b=1.0 N=3 tau=1 lambda=0.98271224485687937166 closure=4.06e-49 minimal=True max_tangency_defect=2.16e-49 rot/2pi=1.0
   M=O         spread(A*A_M)=7.84e-49  spread(A_M/A)=0.318     | outer: spread(A'*A'_M)=1.43e-48  spread(A'_M/A')=0.318     | max|A_M-A_{-M}|=0.0        A*A_M[0]=0.8554424297413374974398848
   M=M1        spread(A*A_M)=0.424     spread(A_M/A)=0.543     | outer: spread(A'*A'_M)=0.406     spread(A'_M/A')=0.54      | max|A_M-A_{-M}|=0.169      A*A_M[0]=0.6526025137687209367926643
   M=M2        spread(A*A_M)=0.892     spread(A_M/A)=0.893     | outer: spread(A'*A'_M)=1.54      spread(A'_M/A')=1.47      | max|A_M-A_{-M}|=0.945      A*A_M[0]=-1.152238160183631570318421
   M=M3        spread(A*A_M)=0.0567    spread(A_M/A)=0.341     | outer: spread(A'*A'_M)=0.157     spread(A'_M/A')=0.403     | max|A_M-A_{-M}|=10.9       A*A_M[0]=-417.2378423483967260456908
   M=Mc        spread(A*A_M)=0.547     spread(A_M/A)=0.583     | outer: spread(A'*A'_M)=0.453     spread(A'_M/A')=0.571     | max|A_M-A_{-M}|=0.349      A*A_M[0]=(0.9944208297416059331251744 - 0.1980987646288637808229985j)
   M=Mx        spread(A*A_M)=0.236     spread(A_M/A)=0.405     | outer: spread(A'*A'_M)=0.541     spread(A'_M/A')=0.564     | max|A_M-A_{-M}|=0.0657     A*A_M[0]=0.3937005646467804130614476
   M=My        spread(A*A_M)=1.28      spread(A_M/A)=1.28      | outer: spread(A'*A'_M)=0.851     spread(A'_M/A')=0.857     | max|A_M-A_{-M}|=0.716      A*A_M[0]=0.4881014072628428184225314
   M=Md        spread(A*A_M)=1.11      spread(A_M/A)=1.11      | outer: spread(A'*A'_M)=0.722     spread(A'_M/A')=0.779     | max|A_M-A_{-M}|=0.507      A*A_M[0]=0.435277190560342068241617
   (0.1s)
[CONTROL] a=2.0 b=1.0 N=5 tau=1 lambda=0.59449778974886594528 closure=1.16e-49 minimal=True max_tangency_defect=4.01e-51 rot/2pi=1.0
   M=O         spread(A*A_M)=2.07e-50  spread(A_M/A)=0.000594  | outer: spread(A'*A'_M)=4.17e-50  spread(A'_M/A')=0.000594  | max|A_M-A_{-M}|=0.0        A*A_M[0]=12.39264478655207091586747
   M=M1        spread(A*A_M)=0.0208    spread(A_M/A)=0.0211    | outer: spread(A'*A'_M)=0.0192    spread(A'_M/A')=0.0195    | max|A_M-A_{-M}|=0.0818     A*A_M[0]=13.23430722386658663751991
   M=M2        spread(A*A_M)=0.0464    spread(A_M/A)=0.0461    | outer: spread(A'*A'_M)=0.053     spread(A'_M/A')=0.0527    | max|A_M-A_{-M}|=0.271      A*A_M[0]=24.69480743537966388971081
   M=M3        spread(A*A_M)=0.00714   spread(A_M/A)=0.00743   | outer: spread(A'*A'_M)=0.0101    spread(A'_M/A')=0.0103    | max|A_M-A_{-M}|=3.93       A*A_M[0]=2260.836802426602906833164
   M=Mc        spread(A*A_M)=0.0392    spread(A_M/A)=0.0393    | outer: spread(A'*A'_M)=0.0355    spread(A'_M/A')=0.0356    | max|A_M-A_{-M}|=0.12       A*A_M[0]=(11.33802546353630641826919 + 0.6703838049325447250446366j)
   M=Mx        spread(A*A_M)=0.0336    spread(A_M/A)=0.0339    | outer: spread(A'*A'_M)=0.0326    spread(A'_M/A')=0.0329    | max|A_M-A_{-M}|=0.133      A*A_M[0]=14.36572519393621129096453
   M=My        spread(A*A_M)=0.0211    spread(A_M/A)=0.021     | outer: spread(A'*A'_M)=0.0253    spread(A'_M/A')=0.0253    | max|A_M-A_{-M}|=0.0698     A*A_M[0]=14.68238384900240482448558
   M=Md        spread(A*A_M)=0.0258    spread(A_M/A)=0.0262    | outer: spread(A'*A'_M)=0.0276    spread(A'_M/A')=0.028     | max|A_M-A_{-M}|=0.106      A*A_M[0]=14.50594420240572838145289
   (0.1s)
[CONTROL] a=2.0 b=1.0 N=5 tau=2 lambda=0.99990845015577837363 closure=2.88e-44 minimal=True max_tangency_defect=1.34e-44 rot/2pi=2.0
   M=O         spread(A*A_M)=3.2e-44   spread(A_M/A)=0.315     | outer: spread(A'*A'_M)=7.89e-44  spread(A'_M/A')=0.315     | max|A_M-A_{-M}|=0.0        A*A_M[0]=0.7970014450719187266429569
   M=M1        spread(A*A_M)=0.47      spread(A_M/A)=0.55      | outer: spread(A'*A'_M)=0.4       spread(A'_M/A')=0.53      | max|A_M-A_{-M}|=0.165      A*A_M[0]=0.6089673714715417653612297
   M=M2        spread(A*A_M)=0.777     spread(A_M/A)=0.784     | outer: spread(A'*A'_M)=1.62      spread(A'_M/A')=1.54      | max|A_M-A_{-M}|=0.935      A*A_M[0]=-1.594678210214786706663132
   M=M3        spread(A*A_M)=0.0501    spread(A_M/A)=0.333     | outer: spread(A'*A'_M)=0.138     spread(A'_M/A')=0.392     | max|A_M-A_{-M}|=10.7       A*A_M[0]=-464.7937644489912950527814
   M=Mc        spread(A*A_M)=0.557     spread(A_M/A)=0.584     | outer: spread(A'*A'_M)=0.456     spread(A'_M/A')=0.52      | max|A_M-A_{-M}|=0.348      A*A_M[0]=(0.978818342813423990524277 - 0.1661945830790504126015545j)
   M=Mx        spread(A*A_M)=0.00183   spread(A_M/A)=0.314     | outer: spread(A'*A'_M)=0.525     spread(A'_M/A')=0.529     | max|A_M-A_{-M}|=0.000349   A*A_M[0]=0.3481348906503959068595415
   M=My        spread(A*A_M)=1.41      spread(A_M/A)=1.4       | outer: spread(A'*A'_M)=0.865     spread(A'_M/A')=0.871     | max|A_M-A_{-M}|=0.715      A*A_M[0]=0.3740941247686497020869341
   M=Md        spread(A*A_M)=1.25      spread(A_M/A)=1.24      | outer: spread(A'*A'_M)=0.726     spread(A'_M/A')=0.784     | max|A_M-A_{-M}|=0.506      A*A_M[0]=0.3663552743783284635852743
   (0.1s)
[CONTROL] a=2.0 b=1.0 N=7 tau=2 lambda=0.90805833013842035771 closure=2.45e-49 minimal=True max_tangency_defect=5.88e-50 rot/2pi=2.0
   M=O         spread(A*A_M)=6.18e-50  spread(A_M/A)=0.000264  | outer: spread(A'*A'_M)=6.62e-50  spread(A'_M/A')=0.000264  | max|A_M-A_{-M}|=0.0        A*A_M[0]=9.693653387158060123074103
   M=M1        spread(A*A_M)=0.013     spread(A_M/A)=0.0131    | outer: spread(A'*A'_M)=0.0142    spread(A'_M/A')=0.0143    | max|A_M-A_{-M}|=0.02       A*A_M[0]=8.820981299411282306691536
   M=M2        spread(A*A_M)=0.429     spread(A_M/A)=0.429     | outer: spread(A'*A'_M)=0.0841    spread(A'_M/A')=0.0842    | max|A_M-A_{-M}|=0.0796     A*A_M[0]=-0.598393630969511857733319
   M=M3        spread(A*A_M)=0.00291   spread(A_M/A)=0.00296   | outer: spread(A'*A'_M)=0.00893   spread(A'_M/A')=0.00898   | max|A_M-A_{-M}|=1.06       A*A_M[0]=-2004.878790746330342589134
   M=Mc        spread(A*A_M)=0.0139    spread(A_M/A)=0.014     | outer: spread(A'*A'_M)=0.0182    spread(A'_M/A')=0.0182    | max|A_M-A_{-M}|=0.0267     A*A_M[0]=(10.48852937052777877484615 - 0.7896736595924164866190571j)
   M=Mx        spread(A*A_M)=0.0195    spread(A_M/A)=0.0195    | outer: spread(A'*A'_M)=0.0225    spread(A'_M/A')=0.0225    | max|A_M-A_{-M}|=0.0261     A*A_M[0]=7.680703766288684926505476
   M=My        spread(A*A_M)=0.0359    spread(A_M/A)=0.0358    | outer: spread(A'*A'_M)=0.0262    spread(A'_M/A')=0.0261    | max|A_M-A_{-M}|=0.0549     A*A_M[0]=7.798293980961508964336628
   M=Md        spread(A*A_M)=0.0313    spread(A_M/A)=0.0313    | outer: spread(A'*A'_M)=0.0263    spread(A'_M/A')=0.0263    | max|A_M-A_{-M}|=0.0429     A*A_M[0]=7.733542356177634195888882
   (0.1s)
[CONTROL] a=2.0 b=1.0 N=9 tau=4 lambda=0.99999999756675759502 closure=2.33e-35 minimal=True max_tangency_defect=1.07e-35 rot/2pi=4.0
   M=O         spread(A*A_M)=2.72e-35  spread(A_M/A)=0.315     | outer: spread(A'*A'_M)=1.01e-34  spread(A'_M/A')=0.315     | max|A_M-A_{-M}|=0.0        A*A_M[0]=0.7966814849498702766494811
   M=M1        spread(A*A_M)=0.47      spread(A_M/A)=0.55      | outer: spread(A'*A'_M)=0.4       spread(A'_M/A')=0.53      | max|A_M-A_{-M}|=0.165      A*A_M[0]=0.6087274050218289603456129
   M=M2        spread(A*A_M)=0.777     spread(A_M/A)=0.783     | outer: spread(A'*A'_M)=1.62      spread(A'_M/A')=1.54      | max|A_M-A_{-M}|=0.935      A*A_M[0]=-1.597079229656641378387832
   M=M3        spread(A*A_M)=0.05      spread(A_M/A)=0.333     | outer: spread(A'*A'_M)=0.138     spread(A'_M/A')=0.392     | max|A_M-A_{-M}|=10.7       A*A_M[0]=-465.0516374261808214261646
   M=Mc        spread(A*A_M)=0.557     spread(A_M/A)=0.584     | outer: spread(A'*A'_M)=0.456     spread(A'_M/A')=0.52      | max|A_M-A_{-M}|=0.348      A*A_M[0]=(0.9787304751158237825193686 - 0.1660219985847075298952641j)
   M=Mx        spread(A*A_M)=4.87e-8   spread(A_M/A)=0.315     | outer: spread(A'*A'_M)=0.525     spread(A'_M/A')=0.529     | max|A_M-A_{-M}|=9.28e-9    A*A_M[0]=0.3478842513769462029053918
   M=My        spread(A*A_M)=1.41      spread(A_M/A)=1.4       | outer: spread(A'*A'_M)=0.865     spread(A'_M/A')=0.871     | max|A_M-A_{-M}|=0.715      A*A_M[0]=0.3734729475807967944323181
   M=Md        spread(A*A_M)=1.25      spread(A_M/A)=1.24      | outer: spread(A'*A'_M)=0.726     spread(A'_M/A')=0.784     | max|A_M-A_{-M}|=0.506      A*A_M[0]=0.3659781883809564054109171
   (0.1s)
=== PART C: repeated traversals (closed walk of length N, not minimal) ===
[WALK] a=2.0 b=1.0 N=12 tau=4 lambda=0.98271224485687937166 closure=1.4e-48 minimal=False max_tangency_defect=4.84e-49 rot/2pi=4.0
   M=O         spread(A*A_M)=1.27e-48  spread(A_M/A)=0.318     | outer: spread(A'*A'_M)=1.48e-48  spread(A'_M/A')=0.318     | max|A_M-A_{-M}|=0.0        A*A_M[0]=13.68707887586139995903816
   M=M1        spread(A*A_M)=0.424     spread(A_M/A)=0.543     | outer: spread(A'*A'_M)=0.406     spread(A'_M/A')=0.54      | max|A_M-A_{-M}|=0.676      A*A_M[0]=10.44164022029953498868263
   M=M2        spread(A*A_M)=0.892     spread(A_M/A)=0.893     | outer: spread(A'*A'_M)=1.54      spread(A'_M/A')=1.47      | max|A_M-A_{-M}|=3.78       A*A_M[0]=-18.43581056293810512509474
   M=M3        spread(A*A_M)=0.0567    spread(A_M/A)=0.341     | outer: spread(A'*A'_M)=0.157     spread(A'_M/A')=0.403     | max|A_M-A_{-M}|=43.4       A*A_M[0]=-6675.805477574347616731052
   M=Mc        spread(A*A_M)=0.547     spread(A_M/A)=0.583     | outer: spread(A'*A'_M)=0.453     spread(A'_M/A')=0.571     | max|A_M-A_{-M}|=1.39       A*A_M[0]=(15.91073327586569493000279 - 3.169580234061820493167976j)
   M=Mx        spread(A*A_M)=0.236     spread(A_M/A)=0.405     | outer: spread(A'*A'_M)=0.541     spread(A'_M/A')=0.564     | max|A_M-A_{-M}|=0.263      A*A_M[0]=6.299209034348486608983162
   M=My        spread(A*A_M)=1.28      spread(A_M/A)=1.28      | outer: spread(A'*A'_M)=0.851     spread(A'_M/A')=0.857     | max|A_M-A_{-M}|=2.87       A*A_M[0]=7.809622516205485094760503
   M=Md        spread(A*A_M)=1.11      spread(A_M/A)=1.11      | outer: spread(A'*A'_M)=0.722     spread(A'_M/A')=0.779     | max|A_M-A_{-M}|=2.03       A*A_M[0]=6.964435048965473091865873
   (0.1s)
[WALK] a=2.0 b=1.0 N=12 tau=2 lambda=0.44444444444444444444 closure=6.68e-51 minimal=False max_tangency_defect=8.02e-51 rot/2pi=2.0
   M=O         spread(A*A_M)=0.0234    spread(A_M/A)=1.55e-50  | outer: spread(A'*A'_M)=2.35e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=0.0        A*A_M[0]=77.86851875376013684822141
   M=M1        spread(A*A_M)=0.0234    spread(A_M/A)=2.18e-50  | outer: spread(A'*A'_M)=1.78e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=2.78e-49   A*A_M[0]=85.98909285236655111953592
   M=M2        spread(A*A_M)=0.0234    spread(A_M/A)=4.17e-50  | outer: spread(A'*A'_M)=5.73e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=6.84e-49   A*A_M[0]=179.5425560979555155328991
   M=M3        spread(A*A_M)=0.0234    spread(A_M/A)=2.27e-50  | outer: spread(A'*A'_M)=2.1e-50   spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=1.64e-47   A*A_M[0]=19575.81189247206800305637
   M=Mc        spread(A*A_M)=0.0234    spread(A_M/A)=3.92e-50  | outer: spread(A'*A'_M)=2.93e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=3.78e-49   A*A_M[0]=(69.74794465515372257690689 + 7.119407428915212511837386j)
   M=Mx        spread(A*A_M)=0.0234    spread(A_M/A)=3.04e-50  | outer: spread(A'*A'_M)=2.34e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=4.06e-49   A*A_M[0]=96.668203995739369887292
   M=My        spread(A*A_M)=0.0234    spread(A_M/A)=1.25e-50  | outer: spread(A'*A'_M)=2.52e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=8.55e-50   A*A_M[0]=96.668203995739369887292
   M=Md        spread(A*A_M)=0.0234    spread(A_M/A)=1.94e-50  | outer: spread(A'*A'_M)=2.16e-50  spread(A'_M/A')=0.0234    | max|A_M-A_{-M}|=3.42e-49   A*A_M[0]=96.668203995739369887292
   (0.1s)
[WALK] a=2.0 b=1.0 N=8 tau=2 lambda=0.8 closure=3.27e-49 minimal=False max_tangency_defect=1.6e-50 rot/2pi=2.0
   M=O         spread(A*A_M)=6.26e-50  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=5.35e-51  | max|A_M-A_{-M}|=0.0        A*A_M[0]=20.48
   M=M1        spread(A*A_M)=1.17e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=4.41e-50  | max|A_M-A_{-M}|=2.03e-49   A*A_M[0]=20.48
   M=M2        spread(A*A_M)=2.76e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=1.58e-49  | max|A_M-A_{-M}|=8.02e-49   A*A_M[0]=20.48
   M=M3        spread(A*A_M)=3.35e-48  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=1.97e-48  | max|A_M-A_{-M}|=1.09e-47   A*A_M[0]=20.48
   M=Mc        spread(A*A_M)=1.37e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=5.91e-50  | max|A_M-A_{-M}|=3.2e-49    A*A_M[0]=(20.48 - 1.634159887527884454387667e-49j)
   M=Mx        spread(A*A_M)=1.61e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=6.68e-50  | max|A_M-A_{-M}|=3.58e-49   A*A_M[0]=20.48
   M=My        spread(A*A_M)=8.56e-50  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=4.14e-50  | max|A_M-A_{-M}|=1.07e-49   A*A_M[0]=20.48
   M=Md        spread(A*A_M)=1.34e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=6.01e-50  | max|A_M-A_{-M}|=2.35e-49   A*A_M[0]=20.48
   (0.1s)
[WALK] a=2.0 b=1.0 N=16 tau=4 lambda=0.8 closure=3.89e-49 minimal=False max_tangency_defect=6.15e-50 rot/2pi=4.0
   M=O         spread(A*A_M)=4.8e-50   spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=8.02e-51  | max|A_M-A_{-M}|=0.0        A*A_M[0]=81.92
   M=M1        spread(A*A_M)=1.15e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=5.35e-50  | max|A_M-A_{-M}|=5.45e-49   A*A_M[0]=81.92
   M=M2        spread(A*A_M)=3.03e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=1.55e-49  | max|A_M-A_{-M}|=2.39e-48   A*A_M[0]=81.92
   M=M3        spread(A*A_M)=4.85e-48  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=2.24e-48  | max|A_M-A_{-M}|=3.83e-47   A*A_M[0]=81.92
   M=Mc        spread(A*A_M)=1.52e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=7.69e-50  | max|A_M-A_{-M}|=9.56e-49   A*A_M[0]=(81.92 - 6.106597474446305066396017e-49j)
   M=Mx        spread(A*A_M)=1.75e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=8.29e-50  | max|A_M-A_{-M}|=1.02e-48   A*A_M[0]=81.92
   M=My        spread(A*A_M)=6.89e-50  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=3.74e-50  | max|A_M-A_{-M}|=3.21e-49   A*A_M[0]=81.92
   M=Md        spread(A*A_M)=1.15e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=6.82e-50  | max|A_M-A_{-M}|=5.24e-49   A*A_M[0]=81.92
   (0.2s)
[WALK] a=2.0 b=1.0 N=12 tau=3 lambda=0.8 closure=4.19e-49 minimal=False max_tangency_defect=3.21e-50 rot/2pi=3.0
   M=O         spread(A*A_M)=5.01e-50  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=6.68e-51  | max|A_M-A_{-M}|=0.0        A*A_M[0]=46.08
   M=M1        spread(A*A_M)=1.19e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=4.94e-50  | max|A_M-A_{-M}|=3.42e-49   A*A_M[0]=46.08
   M=M2        spread(A*A_M)=2.78e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=1.55e-49  | max|A_M-A_{-M}|=1.5e-48    A*A_M[0]=46.08
   M=M3        spread(A*A_M)=4.16e-48  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=2.27e-48  | max|A_M-A_{-M}|=2.19e-47   A*A_M[0]=46.08
   M=Mc        spread(A*A_M)=1.55e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=6.91e-50  | max|A_M-A_{-M}|=6.07e-49   A*A_M[0]=(46.08 - 4.192910237736019323757829e-49j)
   M=Mx        spread(A*A_M)=1.8e-49   spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=7.62e-50  | max|A_M-A_{-M}|=6.52e-49   A*A_M[0]=46.08
   M=My        spread(A*A_M)=7.42e-50  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=4.14e-50  | max|A_M-A_{-M}|=2.14e-49   A*A_M[0]=46.08
   M=Md        spread(A*A_M)=1.3e-49   spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=6.68e-50  | max|A_M-A_{-M}|=3.96e-49   A*A_M[0]=46.08
   (0.1s)
[WALK] a=2.0 b=1.0 N=20 tau=5 lambda=0.8 closure=1.7e-49 minimal=False max_tangency_defect=7.75e-50 rot/2pi=5.0
   M=O         spread(A*A_M)=5.21e-50  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=1.34e-50  | max|A_M-A_{-M}|=0.0        A*A_M[0]=128.0
   M=M1        spread(A*A_M)=1.0e-49   spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=5.48e-50  | max|A_M-A_{-M}|=7.06e-49   A*A_M[0]=128.0
   M=M2        spread(A*A_M)=3.37e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=1.59e-49  | max|A_M-A_{-M}|=3.14e-48   A*A_M[0]=128.0
   M=M3        spread(A*A_M)=4.63e-48  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=2.41e-48  | max|A_M-A_{-M}|=4.93e-47   A*A_M[0]=128.0
   M=Mc        spread(A*A_M)=1.42e-49  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=8.23e-50  | max|A_M-A_{-M}|=1.24e-48   A*A_M[0]=(128.0 - 1.05360308537982024032889e-48j)
   M=Mx        spread(A*A_M)=1.6e-49   spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=8.82e-50  | max|A_M-A_{-M}|=1.35e-48   A*A_M[0]=128.0
   M=My        spread(A*A_M)=7.22e-50  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=3.21e-50  | max|A_M-A_{-M}|=4.06e-49   A*A_M[0]=128.0
   M=Md        spread(A*A_M)=9.76e-50  spread(A_M/A)=0.353     | outer: spread(A'*A'_M)=0.353     spread(A'_M/A')=7.35e-50  | max|A_M-A_{-M}|=6.63e-49   A*A_M[0]=128.0
   (0.2s)
=== PART D: deliberately wrong inputs (must be detected) ===
   non-closing orbit (lambda+0.001, 8 chords): spread(A*A_M) = 0.0035
   non-closing orbit (lambda+1.0e-6, 8 chords): spread(A*A_M) = 3.51e-6
   non-closing orbit (lambda+1.0e-12, 8 chords): spread(A*A_M) = 3.51e-12
   unsigned areas N=8 M2: spread = 6.49e-50 (should be ~0 as well since signs are constant along the family)
   one vertex perturbed by 1e-4 (N=8, M1): spread = 3.73e-5
   midpoints instead of feet (N=8): spread = 0.00162
   (non-confocal caustic test is in vb_geom_nonconfocal.py)
done
