
=== ORDERS: check_compositions.py ===
N= 15 m= 10 compositions= 126 orbits= 16
N= 16 m= 11 compositions= 210 orbits= 26
N= 17 m= 11 compositions= 4368 orbits= 392
N= 17 m= 10 compositions= 8008 orbits= 600
N= 18 m= 11 compositions= 12376 orbits= 912
N= 18 m= 10 compositions= 19448 orbits= 1282
N= 20 m= 12 compositions= 50388 orbits= 3260
ALL COMPOSITION COUNTS PASSED

=== C0: constants.py ===
C0 15 PASS: root enclosure, angle bounds, capacity, monotonicity, and four corners
C0 16 PASS: root enclosure, angle bounds, capacity, monotonicity, and four corners
C0 17 PASS: root enclosure, angle bounds, capacity, monotonicity, and four corners
C0 18 PASS: root enclosure, angle bounds, capacity, monotonicity, and four corners
C0 20 PASS: root enclosure, angle bounds, capacity, monotonicity, and four corners
C0 ALL CONSTANTS PASSED

=== G15: pentagon_certificate.py ===
Exact rational interval certificate for the auxiliary pentagon:
  B = [3.521356964706164, 3.521356964706164]
  eta = [0.2879439594953538, 0.2879439594953538]
  A = [0.5500970181316088, 0.5500970181316088]
  u = [2.220048689315722, 2.220048689315722]
  v = [0.2819479085483044, 0.2819479085483044]
  U--V squared = [3.940919160690058, 3.940919160690058]; upper endpoint < 4
  U--L squared = [1.484705580872929, 1.484705580872929]; upper endpoint < 4
  L+--L- squared = [2.530133600941429, 2.530133600941429]; upper endpoint < 4
  V+--V- squared = [0.08689983563191624, 0.08689983563191624]; upper endpoint < 4
  L--opposite V squared = [2.005035857801, 2.005035857801]; upper endpoint < 4
  L--same-side V squared = [1.536134808486117, 1.536134808486117]; upper endpoint < 4
Candidate feasibility: 20 exact square contacts; 85 noncontacts > 2.
  Smallest certified noncontact squared-distance lower bound: 5.52786404500042
PASS: geometric constants, gap diameter, and candidate feasibility.

=== E15: inner_energy_certificate.py ===
CERTIFIED 6 energy {'boxes': 1819, 'pair': 0, 'energy': 394, 'angle': 516} minimum_split_width= 0.0986875 seconds= 0.628
CERTIFIED 7 energy {'boxes': 1149, 'pair': 0, 'energy': 242, 'angle': 333} minimum_split_width= 0.197375 seconds= 0.547
CERTIFIED 8 energy {'boxes': 81, 'pair': 0, 'energy': 5, 'angle': 36} minimum_split_width= 0.7895 seconds= 0.052

=== R15.bounds: radial_integer_validate.py ===
CERTIFIED 1307 exact rational angular lower bounds

=== R15.compile: radial_integer.cpp ===

=== R15: exhaustive integer replay ===
11116 nodes=37 pair=0 fast=17 full=2 local=0
11125 nodes=71 pair=0 fast=22 full=14 local=0
11134 nodes=71 pair=0 fast=12 full=24 local=0
11215 nodes=105 pair=0 fast=38 full=15 local=0
11224 nodes=263 pair=0 fast=58 full=74 local=0
11233 nodes=335 pair=0 fast=42 full=126 local=0
11242 nodes=195 pair=0 fast=45 full=53 local=0
11314 nodes=269 pair=0 fast=102 full=33 local=0
11323 nodes=1647 pair=0 fast=481 full=343 local=0
12124 nodes=339 pair=0 fast=99 full=71 local=0
12133 nodes=475 pair=0 fast=80 full=158 local=0
12214 nodes=417 pair=0 fast=146 full=63 local=0
12223 nodes=2139 pair=0 fast=592 full=478 local=0
12232 nodes=877 pair=0 fast=192 full=247 local=0
12313 nodes=647 pair=0 fast=195 full=129 local=0
22222 nodes=55959 pair=0 fast=22785 full=5020 local=175
TOTAL nodes=63846 local=175 angles=1307
PASS: exact integer replay completed all radial boxes.

=== L15: additive_estimates.py ===
PASS proportional radius estimates; strict local coefficient >1/6

=== C16: certify_construction16.py ===
PASS original-position checks: all 11 outer centres fixed
n=16 feasible construction: PASS
B bracket: [3.61542559487319398553924416199196524760827792283368976231959231763302032464297878, 3.61542559487319398553924416199196524760827792283368976231959231778348360154823159]
F(B_lo): [-0.00000000000000000000000000000000000000000000000000000000000000118245681230727177, -0.00000000000000000000000000000000000000000000000000000000000000118245681230726349]
F(B_hi): [0.00000000000000000000000000000000000000000000000000000000000000084057030794653959, 0.00000000000000000000000000000000000000000000000000000000000000084057030794654788]
Minimum noncontact squared-distance slack lower bound: 15861112360514042047370130379091930789341689428629050066499745082414461674382733/100000000000000000000000000000000000000000000000000000000000000000000000000000000
Contacts: 21 circle-circle; 11 circle-boundary.
Construction and original-position checks passed; see verify.py for the full proof checks.

=== E16: energy16.py ===
CERTIFIED 6 energy {'boxes': 1463, 'pair': 0, 'energy': 352, 'angle': 380} minimum_split_width= 0.19125 seconds= 0.461
CERTIFIED 7 energy {'boxes': 2599, 'pair': 0, 'energy': 556, 'angle': 744} minimum_split_width= 0.19125 seconds= 1.126
CERTIFIED 8 energy {'boxes': 817, 'pair': 0, 'energy': 114, 'angle': 295} minimum_split_width= 0.44125 seconds= 0.545

=== G16: certify_geometry16.py ===
n=16 geometric reduction bounds: PASS
c [2.50905515658450492573947022157440879180184293212524865571651214411677546584027048, 2.50905515658450492573947022157440879180184293212524865571651214431328259491387516]
E [1.74232715575983755265080648142189953668384754086578958282772129073621366276442454, 1.74232715575983755265080648142189953668384754086578958282772129089278522410674947]
u [1.81155544636627503364131187197047634020571686590230577491946317204378871691366644, 1.81155544636627503364131187197047634020571686590230577491946317596604797752626732]
v [0.24228483903095828890168655638237420427291075414464848349786393611389108402393099, 0.24228483903095828890168655638237420427291075414464848349786393696343373462602140]
st [1.75771516096904171109831344361762579572708924585535151650213606303656626537397860, 1.75771516096904171109831344361762579572708924585535151650213606388610891597606901]
cosA [0.94304546273725180112380761129135217840748611882447268362653722017073752588696962, 0.94304546273725180112380761129135217840748611882447268362653722084013124355432718]
sinA [0.33266387722547007050506492634215800044568060820594641630624412727956155491896633, 0.33266387722547007050506492634215800044568060820594641630624412789755566661452495]
Five-vertex enclosing polygon squared diameter upper bound: [2.51260634657443543876788918234262526631945076553379955383713230875060863040530807, 2.51260634657443543876788918234262526631945076553379955383713230875060863040530807]
All five inner radii lie in [.242,1.812]; each outer gap contains at most one inner direction.
This certificate assumes that the projected configuration has eleven outer centers.

=== G16.printed: check_printed_bounds.py ===
PRINTED BOUNDS PASSED

=== R16.bounds: radial_integer_validate.py ===
CERTIFIED 4805 exact rational angular lower bounds

=== R16.compile: radial_integer.cpp ===

=== R16: exhaustive integer replay ===
patterns 26 compositions 210
11117 nodes=1 pair=0 fast=1 full=0 local=0
11126 nodes=1 pair=0 fast=1 full=0 local=0
11135 nodes=1 pair=0 fast=1 full=0 local=0
11144 nodes=1 pair=0 fast=1 full=0 local=0
11216 nodes=1 pair=0 fast=1 full=0 local=0
11225 nodes=1 pair=0 fast=1 full=0 local=0
11234 nodes=1 pair=0 fast=1 full=0 local=0
11243 nodes=1 pair=0 fast=1 full=0 local=0
11252 nodes=1 pair=0 fast=1 full=0 local=0
11315 nodes=1 pair=0 fast=1 full=0 local=0
11324 nodes=1 pair=0 fast=1 full=0 local=0
11333 nodes=1 pair=0 fast=0 full=1 local=0
11414 nodes=1 pair=0 fast=1 full=0 local=0
12125 nodes=1 pair=0 fast=1 full=0 local=0
12134 nodes=1 pair=0 fast=1 full=0 local=0
12215 nodes=1 pair=0 fast=1 full=0 local=0
12224 nodes=1 pair=0 fast=1 full=0 local=0
12233 nodes=1 pair=0 fast=0 full=1 local=0
12242 nodes=1 pair=0 fast=1 full=0 local=0
12314 nodes=1 pair=0 fast=1 full=0 local=0
12323 nodes=41 pair=0 fast=12 full=9 local=0
12332 nodes=1 pair=0 fast=0 full=1 local=0
12413 nodes=1 pair=0 fast=1 full=0 local=0
13133 nodes=1 pair=0 fast=0 full=1 local=0
13223 nodes=115 pair=0 fast=40 full=18 local=0
22223 nodes=44401 pair=0 fast=8683 full=13328 local=190
TOTAL nodes=44580 local=190 angles=4805
PASS: exact integer replay completed all radial boxes.

=== P16: coordinate_nearness.py ===
point 6 relative-angle numerators: -6182323496102 -6182317182658 width numerator: 6313444 denominator: 1099511627776
point 6 angle-width <= 5.742043867940083e-06 position-distance <= 2.2759932367035252e-05
point 4 relative-angle numerators: -5675897846260 -5675896239294 width numerator: 1606966 denominator: 1099511627776
point 4 angle-width <= 1.4615270629292354e-06 position-distance <= 5.284042350914203e-06
point 8 relative-angle numerators: -5059629117032 -5059627510066 width numerator: 1606966 denominator: 1099511627776
point 8 angle-width <= 1.4615270629292354e-06 position-distance <= 5.284042350914203e-06
point 10 relative-angle numerators: -4776839120020 -4776836224402 width numerator: 2895618 denominator: 1099511627776
point 10 angle-width <= 2.633549229358323e-06 position-distance <= 1.1521401289180655e-05
point 13 relative-angle numerators: -4443360387804 -4443358780838 width numerator: 1606966 denominator: 1099511627776
point 13 angle-width <= 1.4615270629292354e-06 position-distance <= 5.284042350914203e-06
point 15 relative-angle numerators: -3827091658576 -3827090051610 width numerator: 1606966 denominator: 1099511627776
point 15 angle-width <= 1.4615270629292354e-06 position-distance <= 5.284042350914203e-06
point 11 relative-angle numerators: -3454218455841 -3454216848875 width numerator: 1606966 denominator: 1099511627776
point 11 angle-width <= 1.4615270629292354e-06 position-distance <= 7.284042350914203e-06
point 14 relative-angle numerators: -3081345253106 -3081343646140 width numerator: 1606966 denominator: 1099511627776
point 14 angle-width <= 1.4615270629292354e-06 position-distance <= 5.284042350914203e-06
point 12 relative-angle numerators: -2465076523878 -2465074916912 width numerator: 1606966 denominator: 1099511627776
point 12 angle-width <= 1.4615270629292354e-06 position-distance <= 5.284042350914203e-06
point 9 relative-angle numerators: -2131599080314 -2131596184696 width numerator: 2895618 denominator: 1099511627776
point 9 angle-width <= 2.633549229358323e-06 position-distance <= 1.1521401289180655e-05
point 7 relative-angle numerators: -1848807794650 -1848806187684 width numerator: 1606966 denominator: 1099511627776
point 7 angle-width <= 1.4615270629292354e-06 position-distance <= 5.284042350914203e-06
point 3 relative-angle numerators: -1232539065422 -1232537458456 width numerator: 1606966 denominator: 1099511627776
point 3 angle-width <= 1.4615270629292354e-06 position-distance <= 5.284042350914203e-06
point 5 relative-angle numerators: -726118122058 -726111808614 width numerator: 6313444 denominator: 1099511627776
point 5 angle-width <= 5.742043867940083e-06 position-distance <= 2.2759932367035252e-05
point 1 relative-angle numerators: -616270336194 -616268729228 width numerator: 1606966 denominator: 1099511627776
point 1 angle-width <= 1.4615270629292354e-06 position-distance <= 5.284042350914203e-06
point 0 relative-angle numerators: 0 0 width numerator: 0 denominator: 1099511627776
point 0 angle-width <= 0.0 position-distance <= 0.0
point 2 relative-angle numerators: 616268729228 616270336194 width numerator: 1606966 denominator: 1099511627776
point 2 angle-width <= 1.4615270629292354e-06 position-distance <= 5.284042350914203e-06
PASS: after rotational alignment, every coordinate error <1/10000
Maximum exact error bound: 625620257123764933220970695476580026018024915056170540694451405028905696082326836062399/27487790694400000000000000000000000000000000000000000000000000000000000000000000000000000000

=== L16: certify_local16.py ===
CERTIFIED n=16 bordered Jacobian invertible, inverse infinity norm < 5
CERTIFIED normalized positive stress: every weight > 1/250
residual norm upper bound: 5.819153905542273e-14
inverse norm upper bound: 4.620405103033442
minimum stress lower bound: 0.004679676685983131
LOCAL THEOREM: after fixing x_0=0, every feasible configuration
with max coordinate displacement < 1/10000 is exactly the candidate.

=== C17: verify17_exact.py ===
f(B_lo): [3.67137109272038264E-27, 3.67137109272038264E-27]
f(B_hi): [-4.00189821036429166E-27, -4.00189821036429166E-27]
f prime on interval: [-38.3663465154233715, -38.3663465154233715]
PASS original-position checks: all 10 outer centres have inner contacts
Strict noncontact pairs: 111
Minimum certified noncontact squared-distance slack: [0.141252681817456840, 0.141252681817456840]
Interior points: 7
Minimum certified interior squared-radius slack: [7.89015954326455503, 7.89015954326455503]
By IVT and the exact contact identities, a feasible packing exists with
  11980084370776447925372809883/2500000000000000000000000000 < R < 23960168741552895850745619767/5000000000000000000000000000
Construction and original-position checks passed; see verify.py for the full proof checks.

=== E17: energy17.py ===
CERTIFIED 8 energy {'boxes': 100475, 'pair': 0, 'energy': 23391, 'angle': 26847} minimum_split_width= 0.06584375 seconds= 64.818
CERTIFIED 9 energy {'boxes': 4585, 'pair': 0, 'energy': 481, 'angle': 1812} minimum_split_width= 0.3161875 seconds= 4.341
CERTIFIED 10 energy {'boxes': 1267, 'pair': 0, 'energy': 22, 'angle': 612} minimum_split_width= 0.52675 seconds= 1.439
CERTIFIED 11 energy {'boxes': 777, 'pair': 0, 'energy': 0, 'angle': 389} minimum_split_width= 0.84225 seconds= 1.125

=== R17.bounds: validate_angles.py ===
CERTIFIED rational constants and eleven-boundary radius bound r<2.368
CERTIFIED 2353 exact rational angular lower bounds
CERTIFIED rational constants and eleven-boundary radius bound r<2.368
CERTIFIED 159816 exact rational angular lower bounds

=== R17.compile: radial_integer.cpp ===

=== R17.11: exhaustive integer replay ===
K=6 M=11 patterns=392
0,0,0,0,0,11, nodes=7 pair=0 fast=4 full=0 local=0
0,0,0,0,1,10, nodes=7 pair=0 fast=4 full=0 local=0
0,0,0,0,2,9, nodes=7 pair=0 fast=4 full=0 local=0
0,0,0,0,3,8, nodes=7 pair=0 fast=4 full=0 local=0
0,0,0,0,4,7, nodes=7 pair=0 fast=4 full=0 local=0
0,0,0,0,5,6, nodes=7 pair=0 fast=4 full=0 local=0
0,0,0,1,0,10, nodes=7 pair=0 fast=4 full=0 local=0
0,0,0,1,1,9, nodes=7 pair=0 fast=3 full=1 local=0
0,0,0,1,2,8, nodes=7 pair=0 fast=3 full=1 local=0
0,0,0,1,3,7, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,1,4,6, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,1,5,5, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,1,6,4, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,1,7,3, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,1,8,2, nodes=7 pair=0 fast=3 full=1 local=0
0,0,0,1,9,1, nodes=7 pair=0 fast=3 full=1 local=0
0,0,0,2,0,9, nodes=7 pair=0 fast=4 full=0 local=0
0,0,0,2,1,8, nodes=7 pair=0 fast=3 full=1 local=0
0,0,0,2,2,7, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,2,3,6, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,2,4,5, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,2,5,4, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,2,6,3, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,2,7,2, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,3,0,8, nodes=7 pair=0 fast=4 full=0 local=0
0,0,0,3,1,7, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,3,2,6, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,3,3,5, nodes=7 pair=0 fast=0 full=4 local=0
0,0,0,3,4,4, nodes=7 pair=0 fast=0 full=4 local=0
0,0,0,3,5,3, nodes=7 pair=0 fast=0 full=4 local=0
0,0,0,4,0,7, nodes=7 pair=0 fast=4 full=0 local=0
0,0,0,4,1,6, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,4,2,5, nodes=7 pair=0 fast=1 full=3 local=0
0,0,0,4,3,4, nodes=7 pair=0 fast=0 full=4 local=0
0,0,0,5,0,6, nodes=7 pair=0 fast=4 full=0 local=0
0,0,0,5,1,5, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,0,0,10, nodes=7 pair=0 fast=4 full=0 local=0
0,0,1,0,1,9, nodes=7 pair=0 fast=3 full=1 local=0
0,0,1,0,2,8, nodes=7 pair=0 fast=3 full=1 local=0
0,0,1,0,3,7, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,0,4,6, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,0,5,5, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,0,6,4, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,0,7,3, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,0,8,2, nodes=7 pair=0 fast=3 full=1 local=0
0,0,1,0,9,1, nodes=7 pair=0 fast=3 full=1 local=0
0,0,1,1,0,9, nodes=7 pair=0 fast=3 full=1 local=0
0,0,1,1,1,8, nodes=7 pair=0 fast=3 full=1 local=0
0,0,1,1,2,7, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,1,3,6, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,1,4,5, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,1,5,4, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,1,6,3, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,1,7,2, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,1,8,1, nodes=7 pair=0 fast=3 full=1 local=0
0,0,1,2,0,8, nodes=7 pair=0 fast=3 full=1 local=0
0,0,1,2,1,7, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,2,2,6, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,2,3,5, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,2,4,4, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,2,5,3, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,2,6,2, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,2,7,1, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,3,0,7, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,3,1,6, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,3,2,5, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,3,3,4, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,3,4,3, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,3,5,2, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,3,6,1, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,4,0,6, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,4,1,5, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,4,2,4, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,4,3,3, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,4,4,2, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,4,5,1, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,5,0,5, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,5,1,4, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,5,2,3, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,5,3,2, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,6,0,4, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,6,1,3, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,6,2,2, nodes=7 pair=0 fast=0 full=4 local=0
0,0,1,7,0,3, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,7,1,2, nodes=7 pair=0 fast=1 full=3 local=0
0,0,1,8,0,2, nodes=7 pair=0 fast=3 full=1 local=0
0,0,2,0,0,9, nodes=7 pair=0 fast=4 full=0 local=0
0,0,2,0,1,8, nodes=7 pair=0 fast=3 full=1 local=0
0,0,2,0,2,7, nodes=7 pair=0 fast=2 full=2 local=0
0,0,2,0,3,6, nodes=7 pair=0 fast=1 full=3 local=0
0,0,2,0,4,5, nodes=7 pair=0 fast=1 full=3 local=0
0,0,2,0,5,4, nodes=7 pair=0 fast=1 full=3 local=0
0,0,2,0,6,3, nodes=7 pair=0 fast=1 full=3 local=0
0,0,2,0,7,2, nodes=7 pair=0 fast=2 full=2 local=0
0,0,2,1,0,8, nodes=7 pair=0 fast=3 full=1 local=0
0,0,2,1,1,7, nodes=7 pair=0 fast=2 full=2 local=0
0,0,2,1,2,6, nodes=7 pair=0 fast=0 full=4 local=0
0,0,2,1,3,5, nodes=7 pair=0 fast=0 full=4 local=0
0,0,2,1,4,4, nodes=7 pair=0 fast=0 full=4 local=0
0,0,2,1,5,3, nodes=7 pair=0 fast=0 full=4 local=0
0,0,2,1,6,2, nodes=7 pair=0 fast=0 full=4 local=0
0,0,2,2,0,7, nodes=7 pair=0 fast=2 full=2 local=0
0,0,2,2,1,6, nodes=53 pair=0 fast=19 full=8 local=0
0,0,2,2,2,5, nodes=75 pair=0 fast=18 full=20 local=0
0,0,2,2,3,4, nodes=75 pair=0 fast=12 full=26 local=0
0,0,2,2,4,3, nodes=75 pair=0 fast=12 full=26 local=0
0,0,2,2,5,2, nodes=71 pair=0 fast=18 full=18 local=0
0,0,2,3,0,6, nodes=7 pair=0 fast=1 full=3 local=0
0,0,2,3,1,5, nodes=71 pair=0 fast=23 full=13 local=0
0,0,2,3,2,4, nodes=81 pair=0 fast=15 full=26 local=0
0,0,2,3,3,3, nodes=85 pair=0 fast=6 full=37 local=0
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1,2,2,2,1,3, nodes=4623 pair=0 fast=1313 full=999 local=0
1,2,2,2,2,2, nodes=21771 pair=0 fast=3227 full=7659 local=0
TOTAL nodes=107250 local=0 angles=2353
PASS exact integer replay

=== R17.10: exhaustive integer replay ===
K=7 M=10 patterns=600
0,0,0,0,0,0,10, nodes=35 pair=0 fast=8 full=10 local=0
0,0,0,0,0,1,9, nodes=35 pair=0 fast=6 full=12 local=0
0,0,0,0,0,2,8, nodes=35 pair=0 fast=6 full=12 local=0
0,0,0,0,0,3,7, nodes=35 pair=0 fast=6 full=12 local=0
0,0,0,0,0,4,6, nodes=35 pair=0 fast=6 full=12 local=0
0,0,0,0,0,5,5, nodes=35 pair=0 fast=6 full=12 local=0
0,0,0,0,1,0,9, nodes=35 pair=0 fast=6 full=12 local=0
0,0,0,0,1,1,8, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,1,2,7, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,1,3,6, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,1,4,5, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,1,5,4, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,1,6,3, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,1,7,2, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,1,8,1, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,2,0,8, nodes=35 pair=0 fast=6 full=12 local=0
0,0,0,0,2,1,7, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,2,2,6, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,2,3,5, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,2,4,4, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,2,5,3, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,2,6,2, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,3,0,7, nodes=35 pair=0 fast=6 full=12 local=0
0,0,0,0,3,1,6, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,3,2,5, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,3,3,4, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,3,4,3, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,4,0,6, nodes=35 pair=0 fast=6 full=12 local=0
0,0,0,0,4,1,5, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,4,2,4, nodes=35 pair=0 fast=2 full=16 local=0
0,0,0,0,5,0,5, nodes=35 pair=0 fast=6 full=12 local=0
0,0,0,1,0,0,9, nodes=39 pair=0 fast=6 full=14 local=0
0,0,0,1,0,1,8, nodes=39 pair=0 fast=2 full=18 local=0
0,0,0,1,0,2,7, nodes=39 pair=0 fast=2 full=18 local=0
0,0,0,1,0,3,6, nodes=39 pair=0 fast=2 full=18 local=0
0,0,0,1,0,4,5, nodes=39 pair=0 fast=2 full=18 local=0
0,0,0,1,0,5,4, nodes=39 pair=0 fast=2 full=18 local=0
0,0,0,1,0,6,3, nodes=39 pair=0 fast=2 full=18 local=0
0,0,0,1,0,7,2, nodes=39 pair=0 fast=2 full=18 local=0
0,0,0,1,0,8,1, nodes=39 pair=0 fast=2 full=18 local=0
0,0,0,1,1,0,8, nodes=43 pair=0 fast=2 full=20 local=0
0,0,0,1,1,1,7, nodes=51 pair=0 fast=2 full=24 local=0
0,0,0,1,1,2,6, nodes=51 pair=0 fast=1 full=25 local=0
0,0,0,1,1,3,5, nodes=51 pair=0 fast=0 full=26 local=0
0,0,0,1,1,4,4, nodes=51 pair=0 fast=0 full=26 local=0
0,0,0,1,1,5,3, nodes=51 pair=0 fast=1 full=25 local=0
0,0,0,1,1,6,2, nodes=47 pair=0 fast=0 full=24 local=0
0,0,0,1,1,7,1, nodes=45 pair=0 fast=0 full=23 local=0
0,0,0,1,2,0,7, nodes=63 pair=0 fast=4 full=28 local=0
0,0,0,1,2,1,6, nodes=71 pair=0 fast=2 full=34 local=0
0,0,0,1,2,2,5, nodes=79 pair=0 fast=0 full=40 local=0
0,0,0,1,2,3,4, nodes=79 pair=0 fast=0 full=40 local=0
0,0,0,1,2,4,3, nodes=79 pair=0 fast=0 full=40 local=0
0,0,0,1,2,5,2, nodes=63 pair=0 fast=0 full=32 local=0
0,0,0,1,2,6,1, nodes=59 pair=0 fast=0 full=30 local=0
0,0,0,1,3,0,6, nodes=63 pair=0 fast=4 full=28 local=0
0,0,0,1,3,1,5, nodes=71 pair=0 fast=0 full=36 local=0
0,0,0,1,3,2,4, nodes=79 pair=0 fast=0 full=40 local=0
0,0,0,1,3,3,3, nodes=79 pair=0 fast=0 full=40 local=0
0,0,0,1,3,4,2, nodes=63 pair=0 fast=0 full=32 local=0
0,0,0,1,3,5,1, nodes=59 pair=0 fast=0 full=30 local=0
0,0,0,1,4,0,5, nodes=63 pair=0 fast=4 full=28 local=0
0,0,0,1,4,1,4, nodes=71 pair=0 fast=0 full=36 local=0
0,0,0,1,4,2,3, nodes=79 pair=0 fast=2 full=38 local=0
0,0,0,1,4,3,2, nodes=63 pair=0 fast=0 full=32 local=0
0,0,0,1,4,4,1, nodes=59 pair=0 fast=0 full=30 local=0
0,0,0,1,5,0,4, nodes=63 pair=0 fast=4 full=28 local=0
0,0,0,1,5,1,3, nodes=71 pair=0 fast=1 full=35 local=0
0,0,0,1,5,2,2, nodes=63 pair=0 fast=0 full=32 local=0
0,0,0,1,6,0,3, nodes=63 pair=0 fast=5 full=27 local=0
0,0,0,1,6,1,2, nodes=63 pair=0 fast=0 full=32 local=0
0,0,0,1,7,0,2, nodes=43 pair=0 fast=2 full=20 local=0
0,0,0,2,0,0,8, nodes=43 pair=0 fast=5 full=17 local=0
0,0,0,2,0,1,7, nodes=43 pair=0 fast=2 full=20 local=0
0,0,0,2,0,2,6, nodes=43 pair=0 fast=2 full=20 local=0
0,0,0,2,0,3,5, nodes=43 pair=0 fast=2 full=20 local=0
0,0,0,2,0,4,4, nodes=43 pair=0 fast=2 full=20 local=0
0,0,0,2,0,5,3, nodes=43 pair=0 fast=2 full=20 local=0
0,0,0,2,0,6,2, nodes=43 pair=0 fast=2 full=20 local=0
0,0,0,2,1,0,7, nodes=91 pair=0 fast=15 full=31 local=0
0,0,0,2,1,1,6, nodes=99 pair=0 fast=6 full=44 local=0
0,0,0,2,1,2,5, nodes=123 pair=0 fast=7 full=55 local=0
0,0,0,2,1,3,4, nodes=123 pair=0 fast=4 full=58 local=0
0,0,0,2,1,4,3, nodes=123 pair=0 fast=6 full=56 local=0
0,0,0,2,1,5,2, nodes=91 pair=0 fast=2 full=44 local=0
0,0,0,2,2,0,6, nodes=91 pair=0 fast=7 full=39 local=0
0,0,0,2,2,1,5, nodes=107 pair=0 fast=3 full=51 local=0
0,0,0,2,2,2,4, nodes=123 pair=0 fast=3 full=59 local=0
0,0,0,2,2,3,3, nodes=123 pair=0 fast=0 full=62 local=0
0,0,0,2,2,4,2, nodes=91 pair=0 fast=1 full=45 local=0
0,0,0,2,3,0,5, nodes=91 pair=0 fast=5 full=41 local=0
0,0,0,2,3,1,4, nodes=107 pair=0 fast=2 full=52 local=0
0,0,0,2,3,2,3, nodes=123 pair=0 fast=4 full=58 local=0
0,0,0,2,3,3,2, nodes=91 pair=0 fast=0 full=46 local=0
0,0,0,2,4,0,4, nodes=91 pair=0 fast=5 full=41 local=0
0,0,0,2,4,1,3, nodes=107 pair=0 fast=2 full=52 local=0
0,0,0,2,5,0,3, nodes=91 pair=0 fast=9 full=37 local=0
0,0,0,3,0,0,7, nodes=67 pair=0 fast=10 full=24 local=0
0,0,0,3,0,1,6, nodes=99 pair=0 fast=14 full=36 local=0
0,0,0,3,0,2,5, nodes=131 pair=0 fast=15 full=51 local=0
0,0,0,3,0,3,4, nodes=131 pair=0 fast=7 full=59 local=0
0,0,0,3,0,4,3, nodes=131 pair=0 fast=13 full=53 local=0
0,0,0,3,1,0,6, nodes=107 pair=0 fast=15 full=39 local=0
0,0,0,3,1,1,5, nodes=155 pair=0 fast=10 full=68 local=0
0,0,0,3,1,2,4, nodes=171 pair=0 fast=5 full=81 local=0
0,0,0,3,1,3,3, nodes=171 pair=0 fast=4 full=82 local=0
0,0,0,3,2,0,5, nodes=147 pair=0 fast=15 full=59 local=0
0,0,0,3,2,1,4, nodes=179 pair=0 fast=9 full=81 local=0
0,0,0,3,2,2,3, nodes=195 pair=0 fast=5 full=93 local=0
0,0,0,3,3,0,4, nodes=147 pair=0 fast=10 full=64 local=0
0,0,0,4,0,0,6, nodes=67 pair=0 fast=10 full=24 local=0
0,0,0,4,0,1,5, nodes=99 pair=0 fast=14 full=36 local=0
0,0,0,4,0,2,4, nodes=131 pair=0 fast=13 full=53 local=0
0,0,0,4,1,0,5, nodes=107 pair=0 fast=15 full=39 local=0
0,0,0,4,1,1,4, nodes=155 pair=0 fast=8 full=70 local=0
0,0,0,5,0,0,5, nodes=67 pair=0 fast=10 full=24 local=0
0,0,1,0,0,1,8, nodes=49 pair=0 fast=3 full=22 local=0
0,0,1,0,0,2,7, nodes=49 pair=0 fast=3 full=22 local=0
0,0,1,0,0,3,6, nodes=49 pair=0 fast=3 full=22 local=0
0,0,1,0,0,4,5, nodes=49 pair=0 fast=3 full=22 local=0
0,0,1,0,1,0,8, nodes=57 pair=0 fast=3 full=26 local=0
0,0,1,0,1,1,7, nodes=73 pair=0 fast=4 full=33 local=0
0,0,1,0,1,2,6, nodes=73 pair=0 fast=2 full=35 local=0
0,0,1,0,1,3,5, nodes=73 pair=0 fast=0 full=37 local=0
0,0,1,0,1,4,4, nodes=73 pair=0 fast=0 full=37 local=0
0,0,1,0,1,5,3, nodes=73 pair=0 fast=2 full=35 local=0
0,0,1,0,1,6,2, nodes=69 pair=0 fast=0 full=35 local=0
0,0,1,0,1,7,1, nodes=65 pair=0 fast=0 full=33 local=0
0,0,1,0,2,0,7, nodes=101 pair=0 fast=16 full=35 local=0
0,0,1,0,2,1,6, nodes=119 pair=0 fast=6 full=54 local=0
0,0,1,0,2,2,5, nodes=131 pair=0 fast=4 full=62 local=0
0,0,1,0,2,3,4, nodes=133 pair=0 fast=1 full=66 local=0
0,0,1,0,2,4,3, nodes=133 pair=0 fast=1 full=66 local=0
0,0,1,0,2,5,2, nodes=119 pair=0 fast=5 full=55 local=0
0,0,1,0,2,6,1, nodes=99 pair=0 fast=2 full=48 local=0
0,0,1,0,3,0,6, nodes=113 pair=0 fast=14 full=43 local=0
0,0,1,0,3,1,5, nodes=133 pair=0 fast=6 full=61 local=0
0,0,1,0,3,2,4, nodes=145 pair=0 fast=2 full=71 local=0
0,0,1,0,3,3,3, nodes=145 pair=0 fast=2 full=71 local=0
0,0,1,0,3,4,2, nodes=129 pair=0 fast=4 full=61 local=0
0,0,1,0,3,5,1, nodes=105 pair=0 fast=2 full=51 local=0
0,0,1,0,4,0,5, nodes=113 pair=0 fast=13 full=44 local=0
0,0,1,0,4,1,4, nodes=133 pair=0 fast=5 full=62 local=0
0,0,1,0,4,2,3, nodes=145 pair=0 fast=5 full=68 local=0
0,0,1,0,4,3,2, nodes=129 pair=0 fast=4 full=61 local=0
0,0,1,0,4,4,1, nodes=105 pair=0 fast=0 full=53 local=0
0,0,1,0,5,0,4, nodes=113 pair=0 fast=13 full=44 local=0
0,0,1,0,5,1,3, nodes=129 pair=0 fast=5 full=60 local=0
0,0,1,0,5,2,2, nodes=125 pair=0 fast=4 full=59 local=0
0,0,1,0,5,3,1, nodes=105 pair=0 fast=1 full=52 local=0
0,0,1,0,6,0,3, nodes=113 pair=0 fast=14 full=43 local=0
0,0,1,0,6,1,2, nodes=117 pair=0 fast=4 full=55 local=0
0,0,1,0,6,2,1, nodes=105 pair=0 fast=2 full=51 local=0
0,0,1,0,7,0,2, nodes=97 pair=0 fast=13 full=36 local=0
0,0,1,0,7,1,1, nodes=89 pair=0 fast=5 full=40 local=0
0,0,1,0,8,0,1, nodes=57 pair=0 fast=3 full=26 local=0
0,0,1,1,0,0,8, nodes=77 pair=0 fast=8 full=31 local=0
0,0,1,1,0,1,7, nodes=101 pair=0 fast=6 full=45 local=0
0,0,1,1,0,2,6, nodes=109 pair=0 fast=6 full=49 local=0
0,0,1,1,0,3,5, nodes=109 pair=0 fast=1 full=54 local=0
0,0,1,1,0,4,4, nodes=109 pair=0 fast=0 full=55 local=0
0,0,1,1,0,5,3, nodes=109 pair=0 fast=3 full=52 local=0
0,0,1,1,0,6,2, nodes=103 pair=0 fast=2 full=50 local=0
0,0,1,1,0,7,1, nodes=101 pair=0 fast=4 full=47 local=0
0,0,1,1,1,0,7, nodes=173 pair=0 fast=29 full=58 local=0
0,0,1,1,1,1,6, nodes=211 pair=0 fast=16 full=90 local=0
0,0,1,1,1,2,5, nodes=289 pair=0 fast=21 full=124 local=0
0,0,1,1,1,3,4, nodes=295 pair=0 fast=12 full=136 local=0
0,0,1,1,1,4,3, nodes=293 pair=0 fast=14 full=133 local=0
0,0,1,1,1,5,2, nodes=255 pair=0 fast=19 full=109 local=0
0,0,1,1,1,6,1, nodes=179 pair=0 fast=9 full=81 local=0
0,0,1,1,2,0,6, nodes=207 pair=0 fast=21 full=83 local=0
0,0,1,1,2,1,5, nodes=321 pair=0 fast=24 full=137 local=0
0,0,1,1,2,2,4, nodes=357 pair=0 fast=12 full=167 local=0
0,0,1,1,2,3,3, nodes=357 pair=0 fast=8 full=171 local=0
0,0,1,1,2,4,2, nodes=315 pair=0 fast=7 full=151 local=0
0,0,1,1,2,5,1, nodes=229 pair=0 fast=11 full=104 local=0
0,0,1,1,3,0,5, nodes=253 pair=0 fast=17 full=110 local=0
0,0,1,1,3,1,4, nodes=339 pair=0 fast=19 full=151 local=0
0,0,1,1,3,2,3, nodes=363 pair=0 fast=13 full=169 local=0
0,0,1,1,3,3,2, nodes=323 pair=0 fast=5 full=157 local=0
0,0,1,1,3,4,1, nodes=241 pair=0 fast=5 full=116 local=0
0,0,1,1,4,0,4, nodes=255 pair=0 fast=17 full=111 local=0
0,0,1,1,4,1,3, nodes=331 pair=0 fast=17 full=149 local=0
0,0,1,1,4,2,2, nodes=317 pair=0 fast=8 full=151 local=0
0,0,1,1,4,3,1, nodes=241 pair=0 fast=5 full=116 local=0
0,0,1,1,5,0,3, nodes=249 pair=0 fast=21 full=104 local=0
0,0,1,1,5,1,2, nodes=287 pair=0 fast=16 full=128 local=0
0,0,1,1,5,2,1, nodes=237 pair=0 fast=8 full=111 local=0
0,0,1,1,6,0,2, nodes=169 pair=0 fast=10 full=75 local=0
0,0,1,1,6,1,1, nodes=155 pair=0 fast=5 full=73 local=0
0,0,1,2,0,0,7, nodes=153 pair=0 fast=23 full=54 local=0
0,0,1,2,0,1,6, nodes=231 pair=0 fast=21 full=95 local=0
0,0,1,2,0,2,5, nodes=347 pair=0 fast=24 full=150 local=0
0,0,1,2,0,3,4, nodes=355 pair=0 fast=9 full=169 local=0
0,0,1,2,0,4,3, nodes=353 pair=0 fast=12 full=165 local=0
0,0,1,2,0,5,2, nodes=309 pair=0 fast=21 full=134 local=0
0,0,1,2,0,6,1, nodes=219 pair=0 fast=10 full=100 local=0
0,0,1,2,1,0,6, nodes=243 pair=0 fast=28 full=94 local=0
0,0,1,2,1,1,5, nodes=459 pair=0 fast=40 full=190 local=0
0,0,1,2,1,2,4, nodes=575 pair=0 fast=18 full=270 local=0
0,0,1,2,1,3,3, nodes=581 pair=0 fast=16 full=275 local=0
0,0,1,2,1,4,2, nodes=505 pair=0 fast=18 full=235 local=0
0,0,1,2,1,5,1, nodes=353 pair=0 fast=11 full=166 local=0
0,0,1,2,2,0,5, nodes=393 pair=0 fast=39 full=158 local=0
0,0,1,2,2,1,4, nodes=645 pair=0 fast=32 full=291 local=0
0,0,1,2,2,2,3, nodes=801 pair=0 fast=41 full=360 local=0
0,0,1,2,2,3,2, nodes=713 pair=0 fast=29 full=328 local=0
0,0,1,2,2,4,1, nodes=445 pair=0 fast=13 full=210 local=0
0,0,1,2,3,0,4, nodes=401 pair=0 fast=18 full=183 local=0
0,0,1,2,3,1,3, nodes=709 pair=0 fast=29 full=326 local=0
0,0,1,2,3,2,2, nodes=709 pair=0 fast=22 full=333 local=0
0,0,1,2,3,3,1, nodes=461 pair=0 fast=3 full=228 local=0
0,0,1,2,4,0,3, nodes=395 pair=0 fast=19 full=179 local=0
0,0,1,2,4,1,2, nodes=541 pair=0 fast=12 full=259 local=0
0,0,1,2,4,2,1, nodes=447 pair=0 fast=8 full=216 local=0
0,0,1,2,5,0,2, nodes=271 pair=0 fast=21 full=115 local=0
0,0,1,3,0,0,6, nodes=171 pair=0 fast=28 full=58 local=0
0,0,1,3,0,1,5, nodes=287 pair=0 fast=24 full=120 local=0
0,0,1,3,0,2,4, nodes=379 pair=0 fast=17 full=173 local=0
0,0,1,3,0,3,3, nodes=379 pair=0 fast=7 full=183 local=0
0,0,1,3,0,4,2, nodes=333 pair=0 fast=14 full=153 local=0
0,0,1,3,0,5,1, nodes=245 pair=0 fast=5 full=118 local=0
0,0,1,3,1,0,5, nodes=301 pair=0 fast=28 full=123 local=0
0,0,1,3,1,1,4, nodes=551 pair=0 fast=38 full=238 local=0
0,0,1,3,1,2,3, nodes=695 pair=0 fast=33 full=315 local=0
0,0,1,3,1,3,2, nodes=625 pair=0 fast=26 full=287 local=0
0,0,1,3,1,4,1, nodes=405 pair=0 fast=10 full=193 local=0
0,0,1,3,2,0,4, nodes=407 pair=0 fast=23 full=181 local=0
0,0,1,3,2,1,3, nodes=705 pair=0 fast=26 full=327 local=0
0,0,1,3,2,2,2, nodes=711 pair=0 fast=19 full=337 local=0
0,0,1,3,2,3,1, nodes=465 pair=0 fast=7 full=226 local=0
0,0,1,3,3,0,3, nodes=403 pair=0 fast=9 full=193 local=0
0,0,1,3,3,1,2, nodes=547 pair=0 fast=5 full=269 local=0
0,0,1,3,4,0,2, nodes=277 pair=0 fast=13 full=126 local=0
0,0,1,4,0,0,5, nodes=173 pair=0 fast=27 full=60 local=0
0,0,1,4,0,1,4, nodes=291 pair=0 fast=22 full=124 local=0
0,0,1,4,0,2,3, nodes=381 pair=0 fast=24 full=167 local=0
0,0,1,4,0,3,2, nodes=337 pair=0 fast=15 full=154 local=0
0,0,1,4,0,4,1, nodes=247 pair=0 fast=5 full=119 local=0
0,0,1,4,1,0,4, nodes=305 pair=0 fast=26 full=127 local=0
0,0,1,4,1,1,3, nodes=533 pair=0 fast=36 full=231 local=0
0,0,1,4,1,2,2, nodes=553 pair=0 fast=21 full=256 local=0
0,0,1,4,2,0,3, nodes=399 pair=0 fast=21 full=179 local=0
0,0,1,4,2,1,2, nodes=539 pair=0 fast=12 full=258 local=0
0,0,1,4,3,0,2, nodes=277 pair=0 fast=12 full=127 local=0
0,0,1,5,0,0,4, nodes=173 pair=0 fast=27 full=60 local=0
0,0,1,5,0,1,3, nodes=275 pair=0 fast=22 full=116 local=0
0,0,1,5,0,2,2, nodes=327 pair=0 fast=25 full=139 local=0
0,0,1,5,1,0,3, nodes=287 pair=0 fast=28 full=116 local=0
0,0,1,5,1,1,2, nodes=423 pair=0 fast=34 full=178 local=0
0,0,1,5,2,0,2, nodes=267 pair=0 fast=18 full=116 local=0
0,0,1,6,0,0,3, nodes=167 pair=0 fast=24 full=60 local=0
0,0,1,6,0,1,2, nodes=221 pair=0 fast=16 full=95 local=0
0,0,1,6,1,0,2, nodes=189 pair=0 fast=13 full=82 local=0
0,0,1,7,0,0,2, nodes=123 pair=0 fast=14 full=48 local=0
0,0,2,0,0,2,6, nodes=111 pair=0 fast=9 full=47 local=0
0,0,2,0,0,3,5, nodes=111 pair=0 fast=3 full=53 local=0
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0,1,2,2,0,2,3, nodes=2413 pair=0 fast=283 full=924 local=0
0,1,2,2,0,3,2, nodes=2257 pair=0 fast=246 full=883 local=0
0,1,2,2,0,4,1, nodes=1361 pair=0 fast=139 full=542 local=0
0,1,2,2,1,0,4, nodes=1663 pair=0 fast=326 full=506 local=0
0,1,2,2,1,1,3, nodes=4637 pair=0 fast=719 full=1600 local=0
0,1,2,2,1,2,2, nodes=8709 pair=0 fast=1134 full=3221 local=0
0,1,2,2,1,3,1, nodes=6303 pair=0 fast=786 full=2366 local=0
0,1,2,2,2,0,3, nodes=2929 pair=0 fast=511 full=954 local=0
0,1,2,2,2,1,2, nodes=9499 pair=0 fast=1249 full=3501 local=0
0,1,2,2,2,2,1, nodes=14577845 pair=0 fast=364873 full=6915627 local=8423
0,1,2,2,3,0,2, nodes=2495 pair=0 fast=340 full=908 local=0
0,1,2,3,0,1,3, nodes=1817 pair=0 fast=259 full=650 local=0
0,1,2,3,0,2,2, nodes=2505 pair=0 fast=307 full=946 local=0
0,1,2,3,0,3,1, nodes=1749 pair=0 fast=169 full=706 local=0
0,1,2,3,1,0,3, nodes=1843 pair=0 fast=292 full=630 local=0
0,1,2,3,1,1,2, nodes=4307 pair=0 fast=535 full=1619 local=0
0,1,2,3,2,0,2, nodes=2417 pair=0 fast=302 full=907 local=0
0,1,2,4,1,0,2, nodes=1127 pair=0 fast=104 full=460 local=0
0,1,3,0,1,3,2, nodes=1401 pair=0 fast=126 full=575 local=0
0,1,3,0,1,4,1, nodes=899 pair=0 fast=88 full=362 local=0
0,1,3,0,2,0,4, nodes=1029 pair=0 fast=150 full=365 local=0
0,1,3,0,2,1,3, nodes=1921 pair=0 fast=243 full=718 local=0
0,1,3,0,2,2,2, nodes=2191 pair=0 fast=223 full=873 local=0
0,1,3,0,2,3,1, nodes=1533 pair=0 fast=136 full=631 local=0
0,1,3,0,3,0,3, nodes=1223 pair=0 fast=182 full=430 local=0
0,1,3,0,3,1,2, nodes=1923 pair=0 fast=214 full=748 local=0
0,1,3,0,4,0,2, nodes=931 pair=0 fast=132 full=334 local=0
0,1,3,1,0,1,4, nodes=955 pair=0 fast=107 full=371 local=0
0,1,3,1,0,2,3, nodes=1543 pair=0 fast=176 full=596 local=0
0,1,3,1,1,1,3, nodes=2723 pair=0 fast=388 full=974 local=0
0,1,3,1,1,2,2, nodes=4055 pair=0 fast=445 full=1583 local=0
0,1,3,1,1,3,1, nodes=2899 pair=0 fast=316 full=1134 local=0
0,1,3,1,2,0,3, nodes=2195 pair=0 fast=358 full=740 local=0
0,1,3,1,2,1,2, nodes=4893 pair=0 fast=685 full=1762 local=0
0,1,3,1,3,0,2, nodes=2197 pair=0 fast=332 full=767 local=0
0,1,3,2,0,2,2, nodes=2423 pair=0 fast=277 full=935 local=0
0,1,3,2,1,1,2, nodes=4047 pair=0 fast=513 full=1511 local=0
0,1,3,2,2,0,2, nodes=2343 pair=0 fast=314 full=858 local=0
0,1,3,3,1,0,2, nodes=1171 pair=0 fast=71 full=515 local=0
0,1,4,0,2,0,3, nodes=997 pair=0 fast=139 full=360 local=0
0,1,4,0,2,1,2, nodes=1495 pair=0 fast=150 full=598 local=0
0,1,4,0,3,0,2, nodes=923 pair=0 fast=115 full=347 local=0
0,1,4,1,0,2,2, nodes=1209 pair=0 fast=122 full=483 local=0
0,1,4,1,1,1,2, nodes=1957 pair=0 fast=235 full=744 local=0
0,1,4,1,2,0,2, nodes=1459 pair=0 fast=161 full=569 local=0
0,1,5,0,2,0,2, nodes=725 pair=0 fast=98 full=265 local=0
0,2,0,2,0,2,4, nodes=787 pair=0 fast=74 full=320 local=0
0,2,0,2,0,3,3, nodes=839 pair=0 fast=69 full=351 local=0
0,2,0,2,1,1,4, nodes=1315 pair=0 fast=175 full=483 local=0
0,2,0,2,1,2,3, nodes=1981 pair=0 fast=212 full=779 local=0
0,2,0,2,1,3,2, nodes=1819 pair=0 fast=180 full=730 local=0
0,2,0,2,2,0,4, nodes=1099 pair=0 fast=167 full=383 local=0
0,2,0,2,2,1,3, nodes=2353 pair=0 fast=353 full=824 local=0
0,2,0,2,2,2,2, nodes=2705 pair=0 fast=338 full=1015 local=0
0,2,0,2,3,0,3, nodes=1217 pair=0 fast=159 full=450 local=0
0,2,0,3,0,2,3, nodes=1155 pair=0 fast=140 full=438 local=0
0,2,0,3,1,1,3, nodes=1803 pair=0 fast=283 full=619 local=0
0,2,1,1,1,1,4, nodes=1919 pair=0 fast=290 full=670 local=0
0,2,1,1,1,2,3, nodes=3155 pair=0 fast=369 full=1209 local=0
0,2,1,1,1,3,2, nodes=3025 pair=0 fast=323 full=1190 local=0
0,2,1,1,2,0,4, nodes=1767 pair=0 fast=324 full=560 local=0
0,2,1,1,2,1,3, nodes=4261 pair=0 fast=725 full=1406 local=0
0,2,1,1,2,2,2, nodes=12309 pair=0 fast=1828 full=4327 local=0
0,2,1,1,3,0,3, nodes=2129 pair=0 fast=357 full=708 local=0
0,2,1,1,3,1,2, nodes=4669 pair=0 fast=578 full=1757 local=0
0,2,1,2,0,2,3, nodes=2557 pair=0 fast=351 full=928 local=0
0,2,1,2,1,1,3, nodes=4333 pair=0 fast=805 full=1362 local=0
0,2,1,2,1,2,2, nodes=7457 pair=0 fast=1047 full=2682 local=0
0,2,1,2,2,0,3, nodes=3199 pair=0 fast=638 full=962 local=0
0,2,1,2,2,1,2, nodes=8359 pair=0 fast=1194 full=2986 local=0
0,2,1,3,0,2,2, nodes=2969 pair=0 fast=420 full=1065 local=0
0,2,2,0,2,2,2, nodes=3341 pair=0 fast=385 full=1286 local=0
0,2,2,0,3,0,3, nodes=1655 pair=0 fast=299 full=529 local=0
0,2,2,1,1,1,3, nodes=4299 pair=0 fast=781 full=1369 local=0
0,2,2,1,1,2,2, nodes=13431 pair=0 fast=2087 full=4629 local=0
0,3,1,1,1,1,3, nodes=2799 pair=0 fast=495 full=905 local=0
1,1,1,1,1,1,4, nodes=3009 pair=0 fast=411 full=1094 local=0
1,1,1,1,1,2,3, nodes=6675 pair=0 fast=867 full=2471 local=0
1,1,1,1,2,1,3, nodes=8743 pair=0 fast=1525 full=2847 local=0
1,1,1,1,2,2,2, nodes=28659 pair=0 fast=5101 full=9229 local=0
1,1,1,2,1,1,3, nodes=7935 pair=0 fast=1369 full=2599 local=0
1,1,1,2,1,2,2, nodes=14627 pair=0 fast=2605 full=4709 local=0
1,1,2,1,1,2,2, nodes=20711 pair=0 fast=3762 full=6594 local=0
1,1,2,1,2,1,2, nodes=14983 pair=0 fast=3118 full=4374 local=0
TOTAL nodes=15297824 local=8423 angles=159816
PASS exact integer replay

=== P17: coordinate_nearness17.py ===
Exact candidate cyclic order certified, including core/top tie.
Worked angle chains for G verified in exact arithmetic.
point 10 relative-angle numerators: -3160796026673 -3160793892198 width numerator: 2134475 denominator: 1099511627776
point 10 angle-width <= 1.941293703566771e-06 position-distance <= 7.561451239308029e-06
point 15 relative-angle numerators: -3160794457167 -3160793892198 width numerator: 564969 denominator: 1099511627776
point 15 angle-width <= 5.138363121659495e-07 position-distance <= 2.14848463684073e-06
point 16 relative-angle numerators: -2600931488872 -2600930892984 width numerator: 595888 denominator: 1099511627776
point 16 angle-width <= 5.419569788500667e-07 position-distance <= 2.0551191539318954e-06
point 13 relative-angle numerators: -2200450595856 -2200450030887 width numerator: 564969 denominator: 1099511627776
point 13 angle-width <= 5.138363121659495e-07 position-distance <= 2.14848463684073e-06
point 11 relative-angle numerators: -1799969733759 -1799969168790 width numerator: 564969 denominator: 1099511627776
point 11 angle-width <= 5.138363121659495e-07 position-distance <= 1.9484846368407304e-06
point 8 relative-angle numerators: -1213122778408 -1213122213439 width numerator: 564969 denominator: 1099511627776
point 8 angle-width <= 5.138363121659495e-07 position-distance <= 1.9484846368407304e-06
point 6 relative-angle numerators: -899985149364 -899984584395 width numerator: 564969 denominator: 1099511627776
point 6 angle-width <= 5.138363121659495e-07 position-distance <= 2.14848463684073e-06
point 3 relative-angle numerators: -586847520320 -586846955351 width numerator: 564969 denominator: 1099511627776
point 3 angle-width <= 5.138363121659495e-07 position-distance <= 1.9484846368407304e-06
point 1 relative-angle numerators: 0 0 width numerator: 0 denominator: 1099511627776
point 1 angle-width <= 0.0 position-distance <= 0.0
point 5 relative-angle numerators: 293423378785 293424021405 width numerator: 642620 denominator: 1099511627776
point 5 angle-width <= 5.844594852533191e-07 position-distance <= 2.4162900926008154e-06
point 2 relative-angle numerators: 586846955351 586847520320 width numerator: 564969 denominator: 1099511627776
point 2 angle-width <= 5.138363121659495e-07 position-distance <= 1.9484846368407304e-06
point 4 relative-angle numerators: 1173693910702 1173694475671 width numerator: 564969 denominator: 1099511627776
point 4 angle-width <= 5.138363121659495e-07 position-distance <= 1.9484846368407304e-06
point 7 relative-angle numerators: 1486831539746 1486832104715 width numerator: 564969 denominator: 1099511627776
point 7 angle-width <= 5.138363121659495e-07 position-distance <= 2.14848463684073e-06
point 9 relative-angle numerators: 1799969168790 1799969733759 width numerator: 564969 denominator: 1099511627776
point 9 angle-width <= 5.138363121659495e-07 position-distance <= 1.9484846368407304e-06
point 12 relative-angle numerators: 2386816124141 2386816689110 width numerator: 564969 denominator: 1099511627776
point 12 angle-width <= 5.138363121659495e-07 position-distance <= 1.9484846368407304e-06
point 14 relative-angle numerators: 2787296986238 2787297551207 width numerator: 564969 denominator: 1099511627776
point 14 angle-width <= 5.138363121659495e-07 position-distance <= 2.14848463684073e-06
point 17 relative-angle numerators: 3187777848335 3187778444223 width numerator: 595888 denominator: 1099511627776
point 17 angle-width <= 5.419569788500667e-07 position-distance <= 2.0551191539318954e-06
PASS: after rotational alignment, every coordinate error <1/16000
Maximum exact error bound: 1662780712096084694840810270086693/219902325555200000000000000000000000000

=== L17: certify_local17.py ===
CERTIFIED n=17 bordered Jacobian invertible, inverse infinity norm < 8
CERTIFIED normalized positive stress: every weight > 1/250
residual norm upper bound: 6.13867275059819e-14
inverse norm upper bound: 7.967713217636796
minimum stress lower bound: 0.004101494064415888
LOCAL THEOREM: after fixing x_0=-1, every feasible configuration
with max coordinate displacement < 1/16000 is exactly the candidate.

=== C18: exact18.py ===
m11_lim3 PASS: points 18 pair contacts 32 boundary 11 all other inequalities strict
m11_lim6 PASS: points 18 pair contacts 32 boundary 11 all other inequalities strict
m11_lim8 PASS: points 18 pair contacts 32 boundary 11 all other inequalities strict
m10_a PASS: points 18 pair contacts 34 boundary 10 all other inequalities strict
m10_b PASS: points 18 pair contacts 34 boundary 10 all other inequalities strict
m11_core PASS: points 17 pair contacts 31 boundary 10 all other inequalities strict
ring18 PASS: points 18 pair contacts 30 boundary 12 all other inequalities strict

=== E18: energy18.py ===
CERTIFIED 9 energy {'boxes': 12733, 'pair': 0, 'energy': 1726, 'angle': 4641} minimum_split_width= 0.28033025 seconds= 11.556
CERTIFIED 10 energy {'boxes': 6281, 'pair': 0, 'energy': 463, 'angle': 2678} minimum_split_width= 0.42677675 seconds= 8.208
CERTIFIED 11 energy {'boxes': 2273, 'pair': 0, 'energy': 31, 'angle': 1106} minimum_split_width= 0.5606605 seconds= 4.113
CERTIFIED 12 energy {'boxes': 1035, 'pair': 0, 'energy': 0, 'angle': 518} minimum_split_width= 0.8535535 seconds= 2.276

=== R18.bounds: validate_angles.py ===
CERTIFIED exact construction radius, cutoff, inward local windows and pi bounds
CERTIFIED 6340 exact rational angular lower bounds
CERTIFIED exact construction radius, cutoff, inward local windows and pi bounds
CERTIFIED 3290 exact rational angular lower bounds

=== R18.compile: radial_integer.cpp ===

=== R18.11: exhaustive integer replay ===
K=7 M=11 patterns=912
0,0,0,0,0,0,11, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,1,10, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,2,9, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,3,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,4,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,5,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,0,10, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,1,9, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,2,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,3,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,4,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,5,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,6,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,7,3, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,8,2, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,9,1, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,2,0,9, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,2,1,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,2,2,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,2,3,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,2,4,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,2,5,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,2,6,3, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,2,7,2, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,3,0,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,3,1,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,3,2,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,3,3,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,3,4,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,3,5,3, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,4,0,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,4,1,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,4,2,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,4,3,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,5,0,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,5,1,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,0,0,10, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,0,1,9, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,0,2,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,0,3,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,0,4,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,0,5,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,0,6,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,0,7,3, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,0,8,2, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,0,9,1, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,1,0,9, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,1,1,8, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,1,2,7, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,1,3,6, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,1,4,5, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,1,5,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,1,6,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,1,7,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,1,8,1, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,2,0,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,2,1,7, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,2,2,6, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,2,3,5, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,2,4,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,2,5,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,2,6,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,2,7,1, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,3,0,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,3,1,6, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,3,2,5, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,3,3,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,3,4,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,3,5,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,3,6,1, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,4,0,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,4,1,5, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,4,2,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,4,3,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,4,4,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,4,5,1, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,5,0,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,5,1,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,5,2,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,5,3,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,6,0,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,6,1,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,6,2,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,7,0,3, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,1,7,1,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,1,8,0,2, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,2,0,0,9, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,2,0,1,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,2,0,2,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,2,0,3,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,2,0,4,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,2,0,5,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,2,0,6,3, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,2,0,7,2, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,2,1,0,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,2,1,1,7, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,1,2,6, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,1,3,5, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,1,4,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,1,5,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,1,6,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,2,0,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,2,2,1,6, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,2,2,5, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,2,3,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,2,4,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,2,5,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,3,0,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,2,3,1,5, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,3,2,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,3,3,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,2,3,4,2, nodes=19 pair=0 fast=0 full=10 local=0
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1,1,1,1,1,2,4, nodes=1341 pair=0 fast=71 full=600 local=0
1,1,1,1,1,3,3, nodes=1389 pair=0 fast=62 full=633 local=0
1,1,1,1,2,1,4, nodes=1745 pair=0 fast=131 full=742 local=0
1,1,1,1,2,2,3, nodes=6733 pair=0 fast=1017 full=2340 local=10
1,1,1,1,2,3,2, nodes=6311 pair=0 fast=900 full=2245 local=11
1,1,1,1,3,1,3, nodes=2525 pair=0 fast=223 full=1040 local=0
1,1,1,2,1,1,4, nodes=1915 pair=0 fast=185 full=773 local=0
1,1,1,2,1,2,3, nodes=3495 pair=0 fast=318 full=1430 local=0
1,1,1,2,1,3,2, nodes=3467 pair=0 fast=324 full=1410 local=0
1,1,1,2,2,1,3, nodes=4281 pair=0 fast=460 full=1681 local=0
1,1,1,2,2,2,2, nodes=47383 pair=0 fast=7490 full=16094 local=108
1,1,1,3,1,1,3, nodes=2489 pair=0 fast=234 full=1011 local=0
1,1,2,1,1,2,3, nodes=7115 pair=0 fast=992 full=2560 local=6
1,1,2,1,2,1,3, nodes=4311 pair=0 fast=549 full=1607 local=0
1,1,2,1,2,2,2, nodes=23823 pair=0 fast=3950 full=7911 local=51
1,1,2,1,3,1,2, nodes=4701 pair=0 fast=584 full=1767 local=0
1,1,2,2,1,1,3, nodes=8489 pair=0 fast=1378 full=2860 local=7
1,1,2,2,1,2,2, nodes=25003 pair=0 fast=4173 full=8290 local=39
1,2,1,2,1,2,2, nodes=7281 pair=0 fast=1082 full=2559 local=0
TOTAL nodes=589172 local=524 angles=6340
PASS exact integer replay

=== R18.10: exhaustive integer replay ===
K=8 M=10 patterns=1282
0,0,0,0,0,0,0,10, nodes=53 pair=0 fast=11 full=16 local=0
0,0,0,0,0,0,1,9, nodes=53 pair=0 fast=9 full=18 local=0
0,0,0,0,0,0,2,8, nodes=53 pair=0 fast=9 full=18 local=0
0,0,0,0,0,0,3,7, nodes=53 pair=0 fast=9 full=18 local=0
0,0,0,0,0,0,4,6, nodes=53 pair=0 fast=9 full=18 local=0
0,0,0,0,0,0,5,5, nodes=53 pair=0 fast=9 full=18 local=0
0,0,0,0,0,1,0,9, nodes=53 pair=0 fast=9 full=18 local=0
0,0,0,0,0,1,1,8, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,1,2,7, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,1,3,6, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,1,4,5, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,1,5,4, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,1,6,3, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,1,7,2, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,1,8,1, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,2,0,8, nodes=53 pair=0 fast=9 full=18 local=0
0,0,0,0,0,2,1,7, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,2,2,6, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,2,3,5, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,2,4,4, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,2,5,3, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,2,6,2, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,3,0,7, nodes=53 pair=0 fast=9 full=18 local=0
0,0,0,0,0,3,1,6, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,3,2,5, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,3,3,4, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,3,4,3, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,4,0,6, nodes=53 pair=0 fast=9 full=18 local=0
0,0,0,0,0,4,1,5, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,4,2,4, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,0,5,0,5, nodes=53 pair=0 fast=9 full=18 local=0
0,0,0,0,1,0,0,9, nodes=53 pair=0 fast=9 full=18 local=0
0,0,0,0,1,0,1,8, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,0,2,7, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,0,3,6, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,0,4,5, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,0,5,4, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,0,6,3, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,0,7,2, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,0,8,1, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,1,0,8, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,1,1,7, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,1,2,6, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,1,3,5, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,1,4,4, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,1,5,3, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,1,6,2, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,1,7,1, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,2,0,7, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,2,1,6, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,2,2,5, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,2,3,4, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,2,4,3, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,2,5,2, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,2,6,1, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,3,0,6, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,3,1,5, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,3,2,4, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,3,3,3, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,3,4,2, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,3,5,1, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,4,0,5, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,4,1,4, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,4,2,3, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,4,3,2, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,4,4,1, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,5,0,4, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,5,1,3, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,5,2,2, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,6,0,3, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,1,6,1,2, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,0,1,7,0,2, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,0,2,0,0,8, nodes=61 pair=0 fast=10 full=21 local=0
0,0,0,0,2,0,1,7, nodes=61 pair=0 fast=3 full=28 local=0
0,0,0,0,2,0,2,6, nodes=61 pair=0 fast=3 full=28 local=0
0,0,0,0,2,0,3,5, nodes=61 pair=0 fast=3 full=28 local=0
0,0,0,0,2,0,4,4, nodes=61 pair=0 fast=3 full=28 local=0
0,0,0,0,2,0,5,3, nodes=61 pair=0 fast=3 full=28 local=0
0,0,0,0,2,0,6,2, nodes=61 pair=0 fast=3 full=28 local=0
0,0,0,0,2,1,0,7, nodes=93 pair=0 fast=9 full=38 local=0
0,0,0,0,2,1,1,6, nodes=101 pair=0 fast=7 full=44 local=0
0,0,0,0,2,1,2,5, nodes=109 pair=0 fast=2 full=53 local=0
0,0,0,0,2,1,3,4, nodes=109 pair=0 fast=0 full=55 local=0
0,0,0,0,2,1,4,3, nodes=109 pair=0 fast=4 full=51 local=0
0,0,0,0,2,1,5,2, nodes=93 pair=0 fast=0 full=47 local=0
0,0,0,0,2,2,0,6, nodes=93 pair=0 fast=8 full=39 local=0
0,0,0,0,2,2,1,5, nodes=101 pair=0 fast=0 full=51 local=0
0,0,0,0,2,2,2,4, nodes=109 pair=0 fast=0 full=55 local=0
0,0,0,0,2,2,3,3, nodes=109 pair=0 fast=0 full=55 local=0
0,0,0,0,2,2,4,2, nodes=93 pair=0 fast=0 full=47 local=0
0,0,0,0,2,3,0,5, nodes=93 pair=0 fast=8 full=39 local=0
0,0,0,0,2,3,1,4, nodes=101 pair=0 fast=0 full=51 local=0
0,0,0,0,2,3,2,3, nodes=109 pair=0 fast=2 full=53 local=0
0,0,0,0,2,3,3,2, nodes=93 pair=0 fast=0 full=47 local=0
0,0,0,0,2,4,0,4, nodes=93 pair=0 fast=8 full=39 local=0
0,0,0,0,2,4,1,3, nodes=101 pair=0 fast=2 full=49 local=0
0,0,0,0,2,5,0,3, nodes=93 pair=0 fast=8 full=39 local=0
0,0,0,0,3,0,0,7, nodes=85 pair=0 fast=13 full=30 local=0
0,0,0,0,3,0,1,6, nodes=101 pair=0 fast=10 full=41 local=0
0,0,0,0,3,0,2,5, nodes=117 pair=0 fast=12 full=47 local=0
0,0,0,0,3,0,3,4, nodes=117 pair=0 fast=10 full=49 local=0
0,0,0,0,3,0,4,3, nodes=117 pair=0 fast=10 full=49 local=0
0,0,0,0,3,1,0,6, nodes=109 pair=0 fast=10 full=45 local=0
0,0,0,0,3,1,1,5, nodes=133 pair=0 fast=11 full=56 local=0
0,0,0,0,3,1,2,4, nodes=141 pair=0 fast=2 full=69 local=0
0,0,0,0,3,1,3,3, nodes=141 pair=0 fast=6 full=65 local=0
0,0,0,0,3,2,0,5, nodes=133 pair=0 fast=16 full=51 local=0
0,0,0,0,3,2,1,4, nodes=149 pair=0 fast=3 full=72 local=0
0,0,0,0,3,2,2,3, nodes=157 pair=0 fast=3 full=76 local=0
0,0,0,0,3,3,0,4, nodes=133 pair=0 fast=12 full=55 local=0
0,0,0,0,4,0,0,6, nodes=85 pair=0 fast=12 full=31 local=0
0,0,0,0,4,0,1,5, nodes=101 pair=0 fast=9 full=42 local=0
0,0,0,0,4,0,2,4, nodes=117 pair=0 fast=12 full=47 local=0
0,0,0,0,4,1,0,5, nodes=109 pair=0 fast=10 full=45 local=0
0,0,0,0,4,1,1,4, nodes=133 pair=0 fast=11 full=56 local=0
0,0,0,0,5,0,0,5, nodes=85 pair=0 fast=12 full=31 local=0
0,0,0,1,0,0,0,9, nodes=53 pair=0 fast=9 full=18 local=0
0,0,0,1,0,0,1,8, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,0,2,7, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,0,3,6, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,0,4,5, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,0,5,4, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,0,6,3, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,0,7,2, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,0,8,1, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,1,0,8, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,1,1,7, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,1,2,6, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,1,3,5, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,1,4,4, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,1,5,3, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,1,6,2, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,1,7,1, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,2,0,7, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,2,1,6, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,2,2,5, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,2,3,4, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,2,4,3, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,2,5,2, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,2,6,1, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,3,0,6, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,3,1,5, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,3,2,4, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,3,3,3, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,3,4,2, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,3,5,1, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,4,0,5, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,4,1,4, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,4,2,3, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,4,3,2, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,4,4,1, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,5,0,4, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,5,1,3, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,5,2,2, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,5,3,1, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,6,0,3, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,6,1,2, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,6,2,1, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,7,0,2, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,0,7,1,1, nodes=53 pair=0 fast=0 full=27 local=0
0,0,0,1,0,8,0,1, nodes=53 pair=0 fast=4 full=23 local=0
0,0,0,1,1,0,0,8, nodes=61 pair=0 fast=4 full=27 local=0
0,0,0,1,1,0,1,7, nodes=61 pair=0 fast=0 full=31 local=0
0,0,0,1,1,0,2,6, nodes=61 pair=0 fast=0 full=31 local=0
0,0,0,1,1,0,3,5, nodes=61 pair=0 fast=0 full=31 local=0
0,0,0,1,1,0,4,4, nodes=61 pair=0 fast=0 full=31 local=0
0,0,0,1,1,0,5,3, nodes=61 pair=0 fast=0 full=31 local=0
0,0,0,1,1,0,6,2, nodes=61 pair=0 fast=0 full=31 local=0
0,0,0,1,1,0,7,1, nodes=61 pair=0 fast=0 full=31 local=0
0,0,0,1,1,1,0,7, nodes=97 pair=0 fast=5 full=44 local=0
0,0,0,1,1,1,1,6, nodes=109 pair=0 fast=6 full=49 local=0
0,0,0,1,1,1,2,5, nodes=125 pair=0 fast=2 full=61 local=0
0,0,0,1,1,1,3,4, nodes=125 pair=0 fast=0 full=63 local=0
0,0,0,1,1,1,4,3, nodes=125 pair=0 fast=4 full=59 local=0
0,0,0,1,1,1,5,2, nodes=105 pair=0 fast=0 full=53 local=0
0,0,0,1,1,1,6,1, nodes=89 pair=0 fast=0 full=45 local=0
0,0,0,1,1,2,0,6, nodes=105 pair=0 fast=4 full=49 local=0
0,0,0,1,1,2,1,5, nodes=119 pair=0 fast=1 full=59 local=0
0,0,0,1,1,2,2,4, nodes=133 pair=0 fast=0 full=67 local=0
0,0,0,1,1,2,3,3, nodes=133 pair=0 fast=0 full=67 local=0
0,0,0,1,1,2,4,2, nodes=109 pair=0 fast=0 full=55 local=0
0,0,0,1,1,2,5,1, nodes=93 pair=0 fast=0 full=47 local=0
0,0,0,1,1,3,0,5, nodes=105 pair=0 fast=4 full=49 local=0
0,0,0,1,1,3,1,4, nodes=119 pair=0 fast=0 full=60 local=0
0,0,0,1,1,3,2,3, nodes=133 pair=0 fast=4 full=63 local=0
0,0,0,1,1,3,3,2, nodes=109 pair=0 fast=0 full=55 local=0
0,0,0,1,1,3,4,1, nodes=93 pair=0 fast=0 full=47 local=0
0,0,0,1,1,4,0,4, nodes=105 pair=0 fast=4 full=49 local=0
0,0,0,1,1,4,1,3, nodes=119 pair=0 fast=2 full=58 local=0
0,0,0,1,1,4,2,2, nodes=109 pair=0 fast=0 full=55 local=0
0,0,0,1,1,4,3,1, nodes=93 pair=0 fast=0 full=47 local=0
0,0,0,1,1,5,0,3, nodes=105 pair=0 fast=5 full=48 local=0
0,0,0,1,1,5,1,2, nodes=107 pair=0 fast=0 full=54 local=0
0,0,0,1,1,5,2,1, nodes=93 pair=0 fast=0 full=47 local=0
0,0,0,1,1,6,0,2, nodes=75 pair=0 fast=0 full=38 local=0
0,0,0,1,1,6,1,1, nodes=79 pair=0 fast=1 full=39 local=0
0,0,0,1,2,0,0,7, nodes=85 pair=0 fast=7 full=36 local=0
0,0,0,1,2,0,1,6, nodes=113 pair=0 fast=6 full=51 local=0
0,0,0,1,2,0,2,5, nodes=141 pair=0 fast=5 full=66 local=0
0,0,0,1,2,0,3,4, nodes=141 pair=0 fast=3 full=68 local=0
0,0,0,1,2,0,4,3, nodes=141 pair=0 fast=6 full=65 local=0
0,0,0,1,2,0,5,2, nodes=117 pair=0 fast=2 full=57 local=0
0,0,0,1,2,0,6,1, nodes=101 pair=0 fast=2 full=49 local=0
0,0,0,1,2,1,0,6, nodes=121 pair=0 fast=5 full=56 local=0
0,0,0,1,2,1,1,5, nodes=169 pair=0 fast=6 full=79 local=0
0,0,0,1,2,1,2,4, nodes=185 pair=0 fast=1 full=92 local=0
0,0,0,1,2,1,3,3, nodes=181 pair=0 fast=1 full=90 local=0
0,0,0,1,2,1,4,2, nodes=145 pair=0 fast=0 full=73 local=0
0,0,0,1,2,1,5,1, nodes=117 pair=0 fast=0 full=59 local=0
0,0,0,1,2,2,0,5, nodes=157 pair=0 fast=6 full=73 local=0
0,0,0,1,2,2,1,4, nodes=191 pair=0 fast=2 full=94 local=0
0,0,0,1,2,2,2,3, nodes=203 pair=0 fast=1 full=101 local=0
0,0,0,1,2,2,3,2, nodes=167 pair=0 fast=1 full=83 local=0
0,0,0,1,2,2,4,1, nodes=133 pair=0 fast=1 full=66 local=0
0,0,0,1,2,3,0,4, nodes=157 pair=0 fast=3 full=76 local=0
0,0,0,1,2,3,1,3, nodes=189 pair=0 fast=2 full=93 local=0
0,0,0,1,2,3,2,2, nodes=167 pair=0 fast=1 full=83 local=0
0,0,0,1,2,3,3,1, nodes=133 pair=0 fast=1 full=66 local=0
0,0,0,1,2,4,0,3, nodes=157 pair=0 fast=6 full=73 local=0
0,0,0,1,2,4,1,2, nodes=163 pair=0 fast=1 full=81 local=0
0,0,0,1,2,4,2,1, nodes=133 pair=0 fast=1 full=66 local=0
0,0,0,1,2,5,0,2, nodes=97 pair=0 fast=0 full=49 local=0
0,0,0,1,3,0,0,6, nodes=85 pair=0 fast=5 full=38 local=0
0,0,0,1,3,0,1,5, nodes=113 pair=0 fast=4 full=53 local=0
0,0,0,1,3,0,2,4, nodes=141 pair=0 fast=2 full=69 local=0
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0,1,2,0,2,1,0,4, nodes=1929 pair=0 fast=279 full=686 local=0
0,1,2,0,2,1,1,3, nodes=3457 pair=0 fast=359 full=1370 local=0
0,1,2,0,2,1,2,2, nodes=3967 pair=0 fast=320 full=1664 local=0
0,1,2,0,2,1,3,1, nodes=2747 pair=0 fast=148 full=1226 local=0
0,1,2,0,2,2,0,3, nodes=2849 pair=0 fast=284 full=1141 local=0
0,1,2,0,2,2,1,2, nodes=4137 pair=0 fast=318 full=1751 local=0
0,1,2,0,2,2,2,1, nodes=3367 pair=0 fast=190 full=1494 local=0
0,1,2,0,2,3,0,2, nodes=2379 pair=0 fast=193 full=997 local=0
0,1,2,0,3,0,1,3, nodes=2181 pair=0 fast=279 full=812 local=0
0,1,2,0,3,0,2,2, nodes=2539 pair=0 fast=205 full=1065 local=0
0,1,2,0,3,0,3,1, nodes=1981 pair=0 fast=136 full=855 local=0
0,1,2,0,3,1,0,3, nodes=2257 pair=0 fast=315 full=814 local=0
0,1,2,0,3,1,1,2, nodes=3449 pair=0 fast=346 full=1379 local=0
0,1,2,0,3,1,2,1, nodes=3081 pair=0 fast=213 full=1328 local=0
0,1,2,0,3,2,0,2, nodes=2325 pair=0 fast=182 full=981 local=0
0,1,2,0,4,0,2,1, nodes=1765 pair=0 fast=142 full=741 local=0
0,1,2,0,4,1,0,2, nodes=1511 pair=0 fast=150 full=606 local=0
0,1,2,1,0,1,2,3, nodes=2515 pair=0 fast=156 full=1102 local=0
0,1,2,1,0,1,3,2, nodes=2313 pair=0 fast=136 full=1021 local=0
0,1,2,1,0,1,4,1, nodes=1475 pair=0 fast=85 full=653 local=0
0,1,2,1,0,2,0,4, nodes=1923 pair=0 fast=244 full=718 local=0
0,1,2,1,0,2,1,3, nodes=3359 pair=0 fast=278 full=1402 local=0
0,1,2,1,0,2,2,2, nodes=3593 pair=0 fast=226 full=1571 local=0
0,1,2,1,0,3,0,3, nodes=2421 pair=0 fast=329 full=882 local=0
0,1,2,1,1,1,1,3, nodes=4973 pair=0 fast=515 full=1972 local=0
0,1,2,1,1,1,2,2, nodes=6411 pair=0 fast=519 full=2687 local=0
0,1,2,1,1,1,3,1, nodes=4329 pair=0 fast=250 full=1915 local=0
0,1,2,1,1,2,0,3, nodes=4389 pair=0 fast=558 full=1637 local=0
0,1,2,1,1,2,1,2, nodes=7815 pair=0 fast=821 full=3087 local=0
0,1,2,1,1,2,2,1, nodes=13895 pair=0 fast=1237 full=5695 local=16
0,1,2,1,1,3,0,2, nodes=3941 pair=0 fast=415 full=1556 local=0
0,1,2,1,2,0,1,3, nodes=3921 pair=0 fast=450 full=1511 local=0
0,1,2,1,2,0,2,2, nodes=4865 pair=0 fast=404 full=2029 local=0
0,1,2,1,2,0,3,1, nodes=3537 pair=0 fast=226 full=1543 local=0
0,1,2,1,2,1,0,3, nodes=4147 pair=0 fast=608 full=1466 local=0
0,1,2,1,2,1,1,2, nodes=7749 pair=0 fast=932 full=2943 local=0
0,1,2,1,2,1,2,1, nodes=7839 pair=0 fast=760 full=3160 local=0
0,1,2,1,2,2,0,2, nodes=4891 pair=0 fast=482 full=1964 local=0
0,1,2,1,3,1,0,2, nodes=3167 pair=0 fast=265 full=1319 local=0
0,1,2,2,0,1,2,2, nodes=4029 pair=0 fast=307 full=1708 local=0
0,1,2,2,0,1,3,1, nodes=2775 pair=0 fast=157 full=1231 local=0
0,1,2,2,0,2,0,3, nodes=3139 pair=0 fast=344 full=1226 local=0
0,1,2,2,0,2,1,2, nodes=4799 pair=0 fast=391 full=2009 local=0
0,1,2,2,0,2,2,1, nodes=3997 pair=0 fast=208 full=1791 local=0
0,1,2,2,0,3,0,2, nodes=3041 pair=0 fast=343 full=1178 local=0
0,1,2,2,1,0,1,3, nodes=3375 pair=0 fast=337 full=1351 local=0
0,1,2,2,1,0,2,2, nodes=4391 pair=0 fast=367 full=1829 local=0
0,1,2,2,1,1,1,2, nodes=7371 pair=0 fast=798 full=2888 local=0
0,1,2,2,1,2,0,2, nodes=4985 pair=0 fast=493 full=2000 local=0
0,1,2,2,2,1,0,2, nodes=3979 pair=0 fast=365 full=1625 local=0
0,1,2,3,0,2,0,2, nodes=2609 pair=0 fast=205 full=1100 local=0
0,1,3,0,1,3,0,2, nodes=2135 pair=0 fast=223 full=845 local=0
0,1,3,0,2,0,2,2, nodes=2539 pair=0 fast=171 full=1099 local=0
0,1,3,0,2,0,3,1, nodes=2067 pair=0 fast=143 full=891 local=0
0,1,3,0,2,1,1,2, nodes=3735 pair=0 fast=364 full=1504 local=0
0,1,3,0,2,2,0,2, nodes=2627 pair=0 fast=209 full=1105 local=0
0,1,3,0,3,1,0,2, nodes=1853 pair=0 fast=158 full=769 local=0
0,1,3,1,0,1,3,1, nodes=1897 pair=0 fast=101 full=848 local=0
0,1,3,1,0,2,0,3, nodes=2243 pair=0 fast=233 full=889 local=0
0,1,3,1,0,2,1,2, nodes=3321 pair=0 fast=235 full=1426 local=0
0,1,3,1,1,1,1,2, nodes=4957 pair=0 fast=482 full=1997 local=0
0,1,3,1,1,2,0,2, nodes=3725 pair=0 fast=325 full=1538 local=0
0,1,3,2,0,2,0,2, nodes=2493 pair=0 fast=193 full=1054 local=0
0,1,4,1,0,2,0,2, nodes=1451 pair=0 fast=123 full=603 local=0
0,2,0,2,0,2,0,4, nodes=1407 pair=0 fast=168 full=536 local=0
0,2,0,2,0,2,1,3, nodes=2243 pair=0 fast=214 full=908 local=0
0,2,0,2,0,2,2,2, nodes=2163 pair=0 fast=86 full=996 local=0
0,2,0,2,0,3,0,3, nodes=1799 pair=0 fast=253 full=647 local=0
0,2,0,2,1,1,1,3, nodes=3201 pair=0 fast=392 full=1209 local=0
0,2,0,2,1,1,2,2, nodes=3605 pair=0 fast=251 full=1552 local=0
0,2,0,2,1,2,0,3, nodes=2981 pair=0 fast=405 full=1086 local=0
0,2,0,2,1,2,1,2, nodes=4283 pair=0 fast=355 full=1787 local=0
0,2,0,2,2,0,2,2, nodes=2887 pair=0 fast=186 full=1258 local=0
0,2,0,3,0,2,0,3, nodes=2011 pair=0 fast=335 full=671 local=0
0,2,1,1,1,1,1,3, nodes=4845 pair=0 fast=557 full=1866 local=0
0,2,1,1,1,1,2,2, nodes=8445 pair=0 fast=917 full=3301 local=5
0,2,1,1,1,2,0,3, nodes=4531 pair=0 fast=637 full=1629 local=0
0,2,1,1,1,2,1,2, nodes=7585 pair=0 fast=862 full=2931 local=0
0,2,1,1,2,0,2,2, nodes=4917 pair=0 fast=451 full=2008 local=0
0,2,1,1,2,1,1,2, nodes=11355 pair=0 fast=1562 full=4111 local=5
0,2,1,2,0,2,1,2, nodes=5331 pair=0 fast=549 full=2117 local=0
1,1,1,1,1,1,1,3, nodes=7525 pair=0 fast=778 full=2985 local=0
1,1,1,1,1,1,2,2, nodes=16429 pair=0 fast=1908 full=6293 local=14
1,1,1,1,1,2,1,2, nodes=12505 pair=0 fast=1463 full=4790 local=0
1,1,1,1,2,1,1,2, nodes=18869 pair=0 fast=2580 full=6843 local=12
1,1,1,2,1,1,1,2, nodes=13469 pair=0 fast=1894 full=4841 local=0
TOTAL nodes=1299422 local=100 angles=3290
PASS exact integer replay

=== P18: certify_bridges18.py ===
m10_a PASS: angular error < 14 eps; coordinate error < 56 eps
m10_b PASS: angular error < 14 eps; coordinate error < 56 eps
m11_lim3 PASS: angular error < 12 eps; coordinate error < 48 eps
m11_lim6 PASS: angular error < 12 eps; coordinate error < 48 eps
m11_lim8 PASS: angular error < 12 eps; coordinate error < 48 eps
m11_core PASS: angular error < 11 eps; coordinate error < 44 eps
Derivative bounds .867, .095, .289 and the worked rational estimate verified.
|h prime| < 1 on both radius boxes; |partial g/partial r| < 1/2 near(2,2).
All cases assume the correct cyclic order, all listed outer radii equal B,
each noncentral inner radius within eps of its listed value, and core radius <= eps.

=== L18.10: certify_m10.py ===
m10_a PASS: inverse infinity norm <3; each normalized stress weight >1/64
  Residual upper bound: 9.196177330872762e-14
  Inverse norm upper bound: 2.558849978560102
  Minimum stress lower bound: 0.015845280961339685
  Local isolation: x_0=0, max coordinate displacement <1/1536.
m10_b PASS: inverse infinity norm <3; each normalized stress weight >1/64
  Residual upper bound: 9.601879710364313e-14
  Inverse norm upper bound: 2.184956587868629
  Minimum stress lower bound: 0.015963981132909203
  Local isolation: x_0=0, max coordinate displacement <1/1536.

=== L18.limits: certify_m11_limits.py ===
m11_lim3 PASS: inverse infinity norm <3; each normalized stress weight >1/100
  Residual upper bound: 9.249059673669969e-14
  Inverse norm upper bound: 2.4934800428269748
  Minimum stress lower bound: 0.015573841019019376
  Local isolation: x_0=0, max coordinate displacement <1/2400.
m11_lim6 PASS: inverse infinity norm <3; each normalized stress weight >1/100
  Residual upper bound: 9.059549778288748e-14
  Inverse norm upper bound: 2.067605763062898
  Minimum stress lower bound: 0.010470921595326685
  Local isolation: x_0=0, max coordinate displacement <1/2400.
m11_lim8 PASS: inverse infinity norm <3; each normalized stress weight >1/100
  Residual upper bound: 8.86617775923275e-14
  Inverse norm upper bound: 2.265524852740725
  Minimum stress lower bound: 0.010678493205613135
  Local isolation: x_0=0, max coordinate displacement <1/2400.

=== L18.W: certify_local18.py ===
CERTIFIED n18 eleven-outerfamily17-pointscaffold: inverse norm<4,stress>1/70
residual upper: 6.95578714253835e-14 inverse upper: 2.9704270477516266 stress lower: 0.015094633243013383
LOCALTHEOREM: gaugepoint0x=0; all17scaffoldcoordinateerrors<1/2240
forcesentirescaffoldexact. Arbitrary18thpointnotinvolved.

=== C20: verify20_exact.py ===
PASS original-position checks: all 12 retained outer centres fixed
f(B_lo): [-1.61700906034884505E-27, -1.61700906034884505E-27]
f(B_hi): [1.59004900268709578E-27, 1.59004900268709578E-27]
f prime on interval: [16.0352903151797041, 16.0352903151797041]
Strict noncontact pairs: 164
Minimum certified noncontact squared-distance slack: [0.234622131772902181, 0.234622131772902181]
Interior points: 8
Minimum certified interior squared-radius slack: [9.12372965492141950, 9.12372965492141950]
By IVT and exact contact identities, feasible packing exists with
 51223207369915283214476857921/10000000000000000000000000000 < R < 51223207369915283214476857923/10000000000000000000000000000
The movable centre is placed at the origin for the feasibility check.
Construction and original-position checks passed; see verify.py for the full proof checks.

=== E20.bounds: energy_integer_validate.py ===
PASS: 752 exact angle bounds validated

=== E20.compile: energy_integer.cpp ===

=== E20: exhaustive integer replay ===
CERTIFIED k=9 nodes=396147 energy=82039 angular=116035 empty_radial=0
CERTIFIED k=10 nodes=320407 energy=51626 angular=108578 empty_radial=0
CERTIFIED k=11 nodes=217719 energy=26231 angular=82629 empty_radial=0
CERTIFIED k=12 nodes=109203 energy=9425 angular=45177 empty_radial=0
CERTIFIED k=13 nodes=16371 energy=270 angular=7916 empty_radial=0
CERTIFIED k=14 nodes=3799 energy=0 angular=1900 empty_radial=0
PASS integer energy replay

=== R20.bounds: validate_angles.py ===
CERTIFIED rational constants and twelve-boundary radius bound r<2.806
CERTIFIED 26878 exact rational angular lower bounds

=== R20.compile: radial_integer.cpp ===

=== R20: exhaustive integer replay ===
K=8 M=12 patterns=3260
0,0,0,0,0,0,0,12, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,0,1,11, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,0,2,10, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,0,3,9, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,0,4,8, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,0,5,7, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,0,6,6, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,1,0,11, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,1,1,10, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,1,2,9, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,1,3,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,1,4,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,1,5,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,1,6,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,1,7,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,1,8,3, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,1,9,2, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,1,10,1, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,2,0,10, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,2,1,9, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,2,2,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,2,3,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,2,4,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,2,5,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,2,6,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,2,7,3, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,2,8,2, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,3,0,9, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,3,1,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,3,2,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,3,3,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,3,4,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,3,5,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,3,6,3, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,4,0,8, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,4,1,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,4,2,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,4,3,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,4,4,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,5,0,7, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,0,5,1,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,5,2,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,0,6,0,6, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,1,0,0,11, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,1,0,1,10, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,0,2,9, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,0,3,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,0,4,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,0,5,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,0,6,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,0,7,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,0,8,3, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,0,9,2, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,0,10,1, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,1,0,10, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,1,1,9, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,1,2,8, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,1,3,7, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,1,4,6, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,1,5,5, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,1,6,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,1,7,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,1,8,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,1,9,1, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,2,0,9, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,2,1,8, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,2,2,7, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,2,3,6, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,2,4,5, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,2,5,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,2,6,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,2,7,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,2,8,1, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,3,0,8, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,3,1,7, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,3,2,6, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,3,3,5, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,3,4,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,3,5,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,3,6,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,3,7,1, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,4,0,7, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,4,1,6, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,4,2,5, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,4,3,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,4,4,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,4,5,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,4,6,1, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,5,0,6, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,5,1,5, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,5,2,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,5,3,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,5,4,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,5,5,1, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,6,0,5, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,6,1,4, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,6,2,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,6,3,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,7,0,4, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,7,1,3, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,7,2,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,8,0,3, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,1,8,1,2, nodes=19 pair=0 fast=0 full=10 local=0
0,0,0,0,1,9,0,2, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,2,0,0,10, nodes=19 pair=0 fast=5 full=5 local=0
0,0,0,0,2,0,1,9, nodes=19 pair=0 fast=1 full=9 local=0
0,0,0,0,2,0,2,8, nodes=19 pair=0 fast=1 full=9 local=0
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0,1,3,2,1,2,1,2, nodes=7515 pair=0 fast=738 full=3020 local=0
0,1,3,2,1,3,0,2, nodes=1995 pair=0 fast=242 full=756 local=0
0,1,3,2,2,0,2,2, nodes=3349 pair=0 fast=253 full=1422 local=0
0,1,3,2,2,1,1,2, nodes=5151 pair=0 fast=504 full=2072 local=0
0,1,3,2,2,2,0,2, nodes=2349 pair=0 fast=212 full=963 local=0
0,1,3,2,3,1,0,2, nodes=795 pair=0 fast=54 full=344 local=0
0,1,3,3,0,2,0,3, nodes=981 pair=0 fast=101 full=390 local=0
0,1,3,3,0,2,1,2, nodes=1843 pair=0 fast=175 full=747 local=0
0,1,3,3,0,3,0,2, nodes=821 pair=0 fast=81 full=330 local=0
0,1,3,3,1,0,2,2, nodes=1327 pair=0 fast=114 full=550 local=0
0,1,3,3,1,1,1,2, nodes=2247 pair=0 fast=170 full=954 local=0
0,1,3,3,1,2,0,2, nodes=1547 pair=0 fast=129 full=645 local=0
0,1,3,4,0,2,0,2, nodes=539 pair=0 fast=35 full=235 local=0
0,1,4,0,1,4,0,2, nodes=395 pair=0 fast=44 full=154 local=0
0,1,4,0,2,0,2,3, nodes=633 pair=0 fast=59 full=258 local=0
0,1,4,0,2,0,3,2, nodes=627 pair=0 fast=39 full=275 local=0
0,1,4,0,2,0,4,1, nodes=355 pair=0 fast=37 full=141 local=0
0,1,4,0,2,1,1,3, nodes=1171 pair=0 fast=148 full=438 local=0
0,1,4,0,2,1,2,2, nodes=1515 pair=0 fast=123 full=635 local=0
0,1,4,0,2,2,0,3, nodes=977 pair=0 fast=143 full=346 local=0
0,1,4,0,2,2,1,2, nodes=1687 pair=0 fast=184 full=660 local=0
0,1,4,0,2,3,0,2, nodes=691 pair=0 fast=71 full=275 local=0
0,1,4,0,3,0,2,2, nodes=795 pair=0 fast=75 full=323 local=0
0,1,4,0,3,1,1,2, nodes=1105 pair=0 fast=119 full=434 local=0
0,1,4,0,3,2,0,2, nodes=649 pair=0 fast=69 full=256 local=0
0,1,4,0,4,1,0,2, nodes=335 pair=0 fast=32 full=136 local=0
0,1,4,1,0,1,4,1, nodes=249 pair=0 fast=17 full=108 local=0
0,1,4,1,0,2,0,4, nodes=427 pair=0 fast=57 full=157 local=0
0,1,4,1,0,2,1,3, nodes=891 pair=0 fast=116 full=330 local=0
0,1,4,1,0,2,2,2, nodes=931 pair=0 fast=79 full=387 local=0
0,1,4,1,0,3,0,3, nodes=601 pair=0 fast=84 full=217 local=0
0,1,4,1,1,1,1,3, nodes=1473 pair=0 fast=176 full=561 local=0
0,1,4,1,1,1,2,2, nodes=2181 pair=0 fast=166 full=925 local=0
0,1,4,1,1,2,0,3, nodes=1345 pair=0 fast=181 full=492 local=0
0,1,4,1,1,2,1,2, nodes=2719 pair=0 fast=264 full=1096 local=0
0,1,4,1,1,3,0,2, nodes=1111 pair=0 fast=124 full=432 local=0
0,1,4,1,2,0,2,2, nodes=1889 pair=0 fast=215 full=730 local=0
0,1,4,1,2,1,1,2, nodes=2847 pair=0 fast=333 full=1091 local=0
0,1,4,1,2,2,0,2, nodes=1593 pair=0 fast=191 full=606 local=0
0,1,4,2,0,2,0,3, nodes=799 pair=0 fast=99 full=301 local=0
0,1,4,2,0,2,1,2, nodes=1491 pair=0 fast=164 full=582 local=0
0,1,4,2,0,3,0,2, nodes=717 pair=0 fast=73 full=286 local=0
0,1,4,2,1,1,1,2, nodes=1973 pair=0 fast=224 full=763 local=0
0,1,4,2,1,2,0,2, nodes=1385 pair=0 fast=154 full=539 local=0
0,1,4,3,0,2,0,2, nodes=541 pair=0 fast=42 full=229 local=0
0,1,5,0,2,0,2,2, nodes=529 pair=0 fast=53 full=212 local=0
0,1,5,0,2,1,1,2, nodes=789 pair=0 fast=108 full=287 local=0
0,1,5,0,2,2,0,2, nodes=517 pair=0 fast=52 full=207 local=0
0,1,5,1,0,2,0,3, nodes=363 pair=0 fast=43 full=139 local=0
0,1,5,1,0,2,1,2, nodes=607 pair=0 fast=90 full=214 local=0
0,1,5,1,1,1,1,2, nodes=931 pair=0 fast=125 full=341 local=0
0,1,5,1,1,2,0,2, nodes=695 pair=0 fast=84 full=264 local=0
0,1,5,2,0,2,0,2, nodes=427 pair=0 fast=44 full=170 local=0
0,1,6,1,0,2,0,2, nodes=213 pair=0 fast=18 full=89 local=0
0,2,0,2,0,2,0,6, nodes=265 pair=0 fast=31 full=102 local=0
0,2,0,2,0,2,1,5, nodes=541 pair=0 fast=56 full=215 local=0
0,2,0,2,0,2,2,4, nodes=575 pair=0 fast=35 full=253 local=0
0,2,0,2,0,2,3,3, nodes=585 pair=0 fast=38 full=255 local=0
0,2,0,2,0,2,4,2, nodes=465 pair=0 fast=24 full=209 local=0
0,2,0,2,0,3,0,5, nodes=517 pair=0 fast=58 full=201 local=0
0,2,0,2,0,3,1,4, nodes=679 pair=0 fast=47 full=293 local=0
0,2,0,2,0,3,2,3, nodes=743 pair=0 fast=42 full=330 local=0
0,2,0,2,0,4,0,4, nodes=517 pair=0 fast=40 full=219 local=0
0,2,0,2,1,1,1,5, nodes=853 pair=0 fast=106 full=321 local=0
0,2,0,2,1,1,2,4, nodes=1371 pair=0 fast=103 full=583 local=0
0,2,0,2,1,1,3,3, nodes=1469 pair=0 fast=78 full=657 local=0
0,2,0,2,1,1,4,2, nodes=1259 pair=0 fast=86 full=544 local=0
0,2,0,2,1,2,0,5, nodes=919 pair=0 fast=141 full=319 local=0
0,2,0,2,1,2,1,4, nodes=2327 pair=0 fast=246 full=918 local=0
0,2,0,2,1,2,2,3, nodes=3679 pair=0 fast=299 full=1541 local=0
0,2,0,2,1,2,3,2, nodes=3317 pair=0 fast=243 full=1416 local=0
0,2,0,2,1,3,0,4, nodes=1169 pair=0 fast=160 full=425 local=0
0,2,0,2,1,3,1,3, nodes=3253 pair=0 fast=379 full=1248 local=0
0,2,0,2,1,3,2,2, nodes=3659 pair=0 fast=240 full=1590 local=0
0,2,0,2,1,4,0,3, nodes=1179 pair=0 fast=173 full=417 local=0
0,2,0,2,1,4,1,2, nodes=2229 pair=0 fast=243 full=872 local=0
0,2,0,2,2,0,2,4, nodes=1079 pair=0 fast=110 full=430 local=0
0,2,0,2,2,0,3,3, nodes=1219 pair=0 fast=92 full=518 local=0
0,2,0,2,2,0,4,2, nodes=1069 pair=0 fast=103 full=432 local=0
0,2,0,2,2,1,1,4, nodes=2425 pair=0 fast=316 full=897 local=0
0,2,0,2,2,1,2,3, nodes=4609 pair=0 fast=428 full=1877 local=0
0,2,0,2,2,1,3,2, nodes=4405 pair=0 fast=393 full=1810 local=0
0,2,0,2,2,2,0,4, nodes=1527 pair=0 fast=215 full=549 local=0
0,2,0,2,2,2,1,3, nodes=5197 pair=0 fast=538 full=2061 local=0
0,2,0,2,2,2,2,2, nodes=6611 pair=0 fast=503 full=2803 local=0
0,2,0,2,2,3,0,3, nodes=1579 pair=0 fast=145 full=645 local=0
0,2,0,2,3,0,2,3, nodes=1341 pair=0 fast=107 full=564 local=0
0,2,0,2,3,0,3,2, nodes=1333 pair=0 fast=108 full=559 local=0
0,2,0,2,3,1,1,3, nodes=2733 pair=0 fast=291 full=1076 local=0
0,2,0,2,3,2,0,3, nodes=1469 pair=0 fast=164 full=571 local=0
0,2,0,3,0,2,0,5, nodes=589 pair=0 fast=82 full=213 local=0
0,2,0,3,0,2,1,4, nodes=927 pair=0 fast=97 full=367 local=0
0,2,0,3,0,2,2,3, nodes=1085 pair=0 fast=66 full=477 local=0
0,2,0,3,0,3,0,4, nodes=677 pair=0 fast=76 full=263 local=0
0,2,0,3,0,3,1,3, nodes=1059 pair=0 fast=93 full=437 local=0
0,2,0,3,0,4,0,3, nodes=691 pair=0 fast=80 full=266 local=0
0,2,0,3,1,1,1,4, nodes=1293 pair=0 fast=160 full=487 local=0
0,2,0,3,1,1,2,3, nodes=2273 pair=0 fast=227 full=910 local=0
0,2,0,3,1,2,0,4, nodes=1251 pair=0 fast=198 full=428 local=0
0,2,0,3,1,2,1,3, nodes=3511 pair=0 fast=529 full=1227 local=0
0,2,0,3,2,0,2,3, nodes=1423 pair=0 fast=121 full=591 local=0
0,2,0,4,0,2,0,4, nodes=655 pair=0 fast=92 full=236 local=0
0,2,1,1,1,1,1,5, nodes=1077 pair=0 fast=114 full=425 local=0
0,2,1,1,1,1,2,4, nodes=2005 pair=0 fast=106 full=897 local=0
0,2,1,1,1,1,3,3, nodes=2141 pair=0 fast=93 full=978 local=0
0,2,1,1,1,1,4,2, nodes=1761 pair=0 fast=64 full=817 local=0
0,2,1,1,1,2,0,5, nodes=1261 pair=0 fast=163 full=468 local=0
0,2,1,1,1,2,1,4, nodes=3565 pair=0 fast=275 full=1508 local=0
0,2,1,1,1,2,2,3, nodes=5261 pair=0 fast=305 full=2326 local=0
0,2,1,1,1,2,3,2, nodes=4615 pair=0 fast=212 full=2096 local=0
0,2,1,1,1,3,0,4, nodes=1729 pair=0 fast=187 full=678 local=0
0,2,1,1,1,3,1,3, nodes=4557 pair=0 fast=337 full=1942 local=0
0,2,1,1,1,3,2,2, nodes=4951 pair=0 fast=198 full=2278 local=0
0,2,1,1,1,4,0,3, nodes=1663 pair=0 fast=176 full=656 local=0
0,2,1,1,1,4,1,2, nodes=3105 pair=0 fast=225 full=1328 local=0
0,2,1,1,2,0,2,4, nodes=1499 pair=0 fast=120 full=630 local=0
0,2,1,1,2,0,3,3, nodes=1709 pair=0 fast=118 full=737 local=0
0,2,1,1,2,1,1,4, nodes=3703 pair=0 fast=434 full=1418 local=0
0,2,1,1,2,1,2,3, nodes=7361 pair=0 fast=548 full=3133 local=0
0,2,1,1,2,1,3,2, nodes=6911 pair=0 fast=423 full=3033 local=0
0,2,1,1,2,2,0,4, nodes=2805 pair=0 fast=377 full=1026 local=0
0,2,1,1,2,2,1,3, nodes=9445 pair=0 fast=790 full=3933 local=0
0,2,1,1,2,2,2,2, nodes=382465 pair=0 fast=1212 full=189434 local=587
0,2,1,1,2,3,0,3, nodes=2885 pair=0 fast=288 full=1155 local=0
0,2,1,1,2,3,1,2, nodes=7381 pair=0 fast=498 full=3193 local=0
0,2,1,1,3,0,2,3, nodes=2503 pair=0 fast=206 full=1046 local=0
0,2,1,1,3,0,3,2, nodes=2321 pair=0 fast=144 full=1017 local=0
0,2,1,1,3,1,1,3, nodes=5365 pair=0 fast=585 full=2098 local=0
0,2,1,1,3,1,2,2, nodes=10299 pair=0 fast=777 full=4373 local=0
0,2,1,1,3,2,0,3, nodes=2865 pair=0 fast=289 full=1144 local=0
0,2,1,1,3,2,1,2, nodes=7467 pair=0 fast=561 full=3173 local=0
0,2,1,1,4,0,2,2, nodes=2169 pair=0 fast=174 full=911 local=0
0,2,1,1,4,1,1,2, nodes=2979 pair=0 fast=288 full=1202 local=0
0,2,1,2,0,2,1,4, nodes=3249 pair=0 fast=345 full=1280 local=0
0,2,1,2,0,2,2,3, nodes=4247 pair=0 fast=219 full=1905 local=0
0,2,1,2,0,2,3,2, nodes=3759 pair=0 fast=214 full=1666 local=0
0,2,1,2,0,3,0,4, nodes=1667 pair=0 fast=254 full=580 local=0
0,2,1,2,0,3,1,3, nodes=4039 pair=0 fast=418 full=1602 local=0
0,2,1,2,1,1,1,4, nodes=4413 pair=0 fast=518 full=1689 local=0
0,2,1,2,1,1,2,3, nodes=8111 pair=0 fast=634 full=3422 local=0
0,2,1,2,1,1,3,2, nodes=7571 pair=0 fast=473 full=3313 local=0
0,2,1,2,1,2,0,4, nodes=4313 pair=0 fast=671 full=1486 local=0
0,2,1,2,1,2,1,3, nodes=12627 pair=0 fast=1352 full=4962 local=0
0,2,1,2,1,2,2,2, nodes=26349 pair=0 fast=1777 full=11398 local=0
0,2,1,2,1,3,0,3, nodes=5125 pair=0 fast=644 full=1919 local=0
0,2,1,2,1,3,1,2, nodes=13183 pair=0 fast=1228 full=5364 local=0
0,2,1,2,2,0,2,3, nodes=5381 pair=0 fast=433 full=2258 local=0
0,2,1,2,2,0,3,2, nodes=5267 pair=0 fast=382 full=2252 local=0
0,2,1,2,2,1,1,3, nodes=11795 pair=0 fast=1418 full=4480 local=0
0,2,1,2,2,1,2,2, nodes=28449 pair=0 fast=2185 full=12040 local=0
0,2,1,2,2,2,0,3, nodes=6725 pair=0 fast=795 full=2568 local=0
0,2,1,2,2,2,1,2, nodes=26797 pair=0 fast=2222 full=11177 local=0
0,2,1,2,3,0,2,2, nodes=5645 pair=0 fast=444 full=2379 local=0
0,2,1,3,0,2,1,3, nodes=4453 pair=0 fast=454 full=1773 local=0
0,2,1,3,0,2,2,2, nodes=4995 pair=0 fast=310 full=2188 local=0
0,2,1,3,0,3,0,3, nodes=2011 pair=0 fast=298 full=708 local=0
0,2,1,3,0,3,1,2, nodes=3789 pair=0 fast=391 full=1504 local=0
0,2,1,3,1,1,1,3, nodes=6383 pair=0 fast=702 full=2490 local=0
0,2,1,3,1,1,2,2, nodes=13177 pair=0 fast=1193 full=5396 local=0
0,2,1,3,1,2,0,3, nodes=5195 pair=0 fast=699 full=1899 local=0
0,2,1,3,2,0,2,2, nodes=5317 pair=0 fast=396 full=2263 local=0
0,2,2,0,2,2,0,4, nodes=1995 pair=0 fast=267 full=731 local=0
0,2,2,0,2,2,1,3, nodes=5835 pair=0 fast=446 full=2472 local=0
0,2,2,0,2,2,2,2, nodes=7141 pair=0 fast=432 full=3139 local=0
0,2,2,0,2,3,0,3, nodes=2135 pair=0 fast=212 full=856 local=0
0,2,2,0,3,0,2,3, nodes=1765 pair=0 fast=153 full=730 local=0
0,2,2,0,3,1,1,3, nodes=3575 pair=0 fast=390 full=1398 local=0
0,2,2,1,1,1,1,4, nodes=3937 pair=0 fast=416 full=1553 local=0
0,2,2,1,1,1,2,3, nodes=7179 pair=0 fast=574 full=3016 local=0
0,2,2,1,1,1,3,2, nodes=6807 pair=0 fast=431 full=2973 local=0
0,2,2,1,1,2,1,3, nodes=11069 pair=0 fast=1175 full=4360 local=0
0,2,2,1,1,2,2,2, nodes=422173 pair=0 fast=1828 full=208786 local=473
0,2,2,1,1,3,0,3, nodes=4771 pair=0 fast=589 full=1797 local=0
0,2,2,1,2,1,1,3, nodes=11549 pair=0 fast=1413 full=4362 local=0
0,2,2,1,2,1,2,2, nodes=28603 pair=0 fast=2202 full=12100 local=0
0,2,2,1,2,2,0,3, nodes=7517 pair=0 fast=908 full=2851 local=0
0,2,2,2,0,2,2,2, nodes=7717 pair=0 fast=450 full=3409 local=0
0,2,2,2,0,3,0,3, nodes=2467 pair=0 fast=266 full=968 local=0
0,2,2,2,1,1,1,3, nodes=9039 pair=0 fast=893 full=3627 local=0
0,2,3,1,1,1,1,3, nodes=4739 pair=0 fast=349 full=2021 local=0
0,3,0,3,0,3,0,3, nodes=897 pair=0 fast=114 full=335 local=0
0,3,0,3,1,1,1,3, nodes=1939 pair=0 fast=287 full=683 local=0
0,3,1,1,1,1,1,4, nodes=2087 pair=0 fast=201 full=843 local=0
0,3,1,1,1,1,2,3, nodes=4021 pair=0 fast=275 full=1736 local=0
0,3,1,1,1,2,1,3, nodes=5867 pair=0 fast=577 full=2357 local=0
0,3,1,1,2,1,1,3, nodes=6771 pair=0 fast=784 full=2602 local=0
1,1,1,1,1,1,1,5, nodes=1057 pair=0 fast=59 full=470 local=0
1,1,1,1,1,1,2,4, nodes=2189 pair=0 fast=60 full=1035 local=0
1,1,1,1,1,1,3,3, nodes=2539 pair=0 fast=40 full=1230 local=0
1,1,1,1,1,2,1,4, nodes=4185 pair=0 fast=183 full=1910 local=0
1,1,1,1,1,2,2,3, nodes=7451 pair=0 fast=268 full=3458 local=0
1,1,1,1,1,2,3,2, nodes=7121 pair=0 fast=266 full=3295 local=0
1,1,1,1,1,3,1,3, nodes=6495 pair=0 fast=314 full=2934 local=0
1,1,1,1,2,1,1,4, nodes=4435 pair=0 fast=297 full=1921 local=0
1,1,1,1,2,1,2,3, nodes=11701 pair=0 fast=608 full=5243 local=0
1,1,1,1,2,1,3,2, nodes=12053 pair=0 fast=700 full=5327 local=0
1,1,1,1,2,2,1,3, nodes=17199 pair=0 fast=1039 full=7561 local=0
1,1,1,1,2,2,2,2, nodes=582791 pair=0 fast=2295 full=288051 local=1050
1,1,1,1,3,1,1,3, nodes=7441 pair=0 fast=524 full=3197 local=0
1,1,1,2,1,1,1,4, nodes=5003 pair=0 fast=360 full=2142 local=0
1,1,1,2,1,1,2,3, nodes=11419 pair=0 fast=658 full=5052 local=0
1,1,1,2,1,1,3,2, nodes=11605 pair=0 fast=720 full=5083 local=0
1,1,1,2,1,2,1,3, nodes=18933 pair=0 fast=1641 full=7826 local=0
1,1,1,2,1,2,2,2, nodes=39673 pair=0 fast=2931 full=16906 local=0
1,1,1,2,1,3,1,2, nodes=18715 pair=0 fast=1697 full=7661 local=0
1,1,1,2,2,1,1,3, nodes=16993 pair=0 fast=1542 full=6955 local=0
1,1,1,2,2,1,2,2, nodes=40707 pair=0 fast=3244 full=17110 local=0
1,1,1,3,1,1,1,3, nodes=7861 pair=0 fast=629 full=3302 local=0
1,1,2,1,1,2,1,3, nodes=20283 pair=0 fast=1904 full=8238 local=0
1,1,2,1,1,2,2,2, nodes=603027 pair=0 fast=3275 full=297335 local=904
1,1,2,1,2,1,1,3, nodes=18713 pair=0 fast=1796 full=7561 local=0
1,1,2,1,2,1,2,2, nodes=39743 pair=0 fast=3897 full=15975 local=0
1,1,2,1,2,2,1,2, nodes=39087 pair=0 fast=3995 full=15549 local=0
1,1,2,2,1,1,2,2, nodes=624005 pair=0 fast=4554 full=306533 local=916
1,2,1,2,1,2,1,2, nodes=41817 pair=0 fast=4915 full=15994 local=0
TOTAL nodes=5822866 local=5406 angles=26878
PASS exact integer replay

=== P20: coordinate_nearness20.py ===
Exact candidate supported cyclic order certified.
Worked angle chains for F verified in exact arithmetic.
point 15 relative-angle numerators: -4052176076594 -4052154396038 width numerator: 21680556 denominator: 1099511627776
point 15 angle-width <= 1.971835081349127e-05 position-distance <= 0.00010128536645772883
point 20 relative-angle numerators: -3675524596964 -3675520573754 width numerator: 4023210 denominator: 1099511627776
point 20 angle-width <= 3.6590881791198626e-06 position-distance <= 1.5083935079266382e-05
point 18 relative-angle numerators: -3184810438317 -3184806415107 width numerator: 4023210 denominator: 1099511627776
point 18 angle-width <= 3.6590881791198626e-06 position-distance <= 3.508393507926638e-05
point 19 relative-angle numerators: -2694096279670 -2694092256460 width numerator: 4023210 denominator: 1099511627776
point 19 angle-width <= 3.6590881791198626e-06 position-distance <= 1.5083935079266382e-05
point 14 relative-angle numerators: -2317462457386 -2317440776830 width numerator: 21680556 denominator: 1099511627776
point 14 angle-width <= 1.971835081349127e-05 position-distance <= 0.00010128536645772883
point 16 relative-angle numerators: -2155277828378 -2155273805168 width numerator: 4023210 denominator: 1099511627776
point 16 angle-width <= 3.6590881791198626e-06 position-distance <= 1.5083935079266382e-05
point 12 relative-angle numerators: -1616459377086 -1616455353876 width numerator: 4023210 denominator: 1099511627776
point 12 angle-width <= 3.6590881791198626e-06 position-distance <= 1.5083935079266382e-05
point 9 relative-angle numerators: -1270791542159 -1270767612842 width numerator: 23929317 denominator: 1099511627776
point 9 angle-width <= 2.1763587028544862e-05 position-distance <= 0.00010971648611909033
point 7 relative-angle numerators: -1077640925794 -1077636902584 width numerator: 4023210 denominator: 1099511627776
point 7 angle-width <= 3.6590881791198626e-06 position-distance <= 1.5083935079266382e-05
point 3 relative-angle numerators: -538822474502 -538818451292 width numerator: 4023210 denominator: 1099511627776
point 3 angle-width <= 3.6590881791198626e-06 position-distance <= 1.5083935079266382e-05
point 5 relative-angle numerators: -240570652543 -240544847290 width numerator: 25805253 denominator: 1099511627776
point 5 angle-width <= 2.3469740881409962e-05 position-distance <= 0.00011674979952725411
point 1 relative-angle numerators: 0 0 width numerator: 0 denominator: 1099511627776
point 1 angle-width <= 0.0 position-distance <= 0.0
point 2 relative-angle numerators: 538818451292 538822474502 width numerator: 4023210 denominator: 1099511627776
point 2 angle-width <= 3.6590881791198626e-06 position-distance <= 1.5083935079266382e-05
point 6 relative-angle numerators: 779363298582 779389103835 width numerator: 25805253 denominator: 1099511627776
point 6 angle-width <= 2.3469740881409962e-05 position-distance <= 0.00011674979952725411
point 4 relative-angle numerators: 1077636902584 1077640925794 width numerator: 4023210 denominator: 1099511627776
point 4 angle-width <= 3.6590881791198626e-06 position-distance <= 1.5083935079266382e-05
point 8 relative-angle numerators: 1616455353876 1616459377086 width numerator: 4023210 denominator: 1099511627776
point 8 angle-width <= 3.6590881791198626e-06 position-distance <= 1.5083935079266382e-05
point 10 relative-angle numerators: 1809586064134 1809609993451 width numerator: 23929317 denominator: 1099511627776
point 10 angle-width <= 2.1763587028544862e-05 position-distance <= 0.00010971648611909033
point 13 relative-angle numerators: 2155273805168 2155277828378 width numerator: 4023210 denominator: 1099511627776
point 13 angle-width <= 3.6590881791198626e-06 position-distance <= 1.5083935079266382e-05
point 17 relative-angle numerators: 2694092256460 2694096279670 width numerator: 4023210 denominator: 1099511627776
point 17 angle-width <= 3.6590881791198626e-06 position-distance <= 1.5083935079266382e-05
PASS: after rotational alignment, every supported coordinate error <1/8400
Maximum exact error bound: 1283677621207328471916228581348069519/10995116277760000000000000000000000000000

=== L20: certify_local20.py ===
CERTIFIED n=20 nineteen retained centres (omitting centre 11): bordered Jacobian invertible
CERTIFIED inverse infinity norm <7, normalized positive stress >1/150
residual norm upper bound: 6.856402181530209e-14
inverse norm upper bound: 6.096019900774342
minimum stress lower bound: 0.007930544298475032
LOCAL THEOREM: fix x_1=-1 (one-based labels); if every scaffold
coordinate differs from candidate by <1/8400, all scaffold centers
equal the candidate. No closeness requirement on center11.

=== REFERENCE: check_reference_certificates.py ===
INDEPENDENT GEOMETRY 16 root signs, domains, containment, 21 contacts, 99 strict noncontacts, recovery: PASS
INDEPENDENT MATRIX 16 32 rows: PASS
INDEPENDENT GEOMETRY 17 root signs, domains, containment, 25 contacts, 111 strict noncontacts, recovery: PASS
INDEPENDENT MATRIX 17 35 rows: PASS
INDEPENDENT GEOMETRY 20 root signs, domains, containment, 26 contacts, 164 strict noncontacts, recovery: PASS
INDEPENDENT MATRIX 20 38 rows: PASS
INDEPENDENT REFERENCE 1 coordinates, contacts, 44 matrix rows: PASS
INDEPENDENT REFERENCE 2 coordinates, contacts, 44 matrix rows: PASS
INDEPENDENT REFERENCE 3 coordinates, contacts, 43 matrix rows: PASS
INDEPENDENT REFERENCE 4 coordinates, contacts, 43 matrix rows: PASS
INDEPENDENT REFERENCE 5 coordinates, contacts, 43 matrix rows: PASS
INDEPENDENT REFERENCE 6 coordinates, contacts, 41 matrix rows: PASS

=== CONSISTENCY: check_consistency.py ===
All 20 inner-count table rows agree exactly with the replay.
All position-table rows and strict rigidity margins: 16 PASS
All position-table rows and strict rigidity margins: 17 PASS
All position-table rows and strict rigidity margins: 20 PASS
Rational interval primitive sign, domain and rounding checks: 16 PASS
Rational interval primitive sign, domain and rounding checks: 17 PASS
Rational interval primitive sign, domain and rounding checks: 18 PASS
Rational interval primitive sign, domain and rounding checks: 20 PASS
Arithmetic operation comparisons: 25600

=== SUMMARY: certificate_summary.py ===
{
  "roots": {
    "16": {
      "power": 63,
      "endpoint_enclosures": [
        [
          "-1.183",
          "-1.182"
        ],
        [
          "0.840",
          "0.841"
        ]
      ],
      "radicand_lower": "0.127",
      "denominator_absolute_lower": "2.000"
    },
    "17": {
      "power": 27,
      "endpoint_enclosures": [
        [
          "3.671",
          "3.672"
        ],
        [
          "-4.002",
          "-4.001"
        ]
      ],
      "radicand_lower": "0.033",
      "denominator_absolute_lower": "2.000",
      "derivative_enclosure": [
        "-38.367",
        "-38.366"
      ]
    },
    "20": {
      "power": 27,
      "endpoint_enclosures": [
        [
          "-1.618",
          "-1.617"
        ],
        [
          "1.590",
          "1.591"
        ]
      ],
      "radicand_lower": "0.181",
      "denominator_absolute_lower": "8.648",
      "derivative_enclosure": [
        "16.035",
        "16.036"
      ]
    }
  },
  "matrices": {
    "16": {
      "residual_upper_times_1e12": "0.059",
      "inverse_norm_upper": "4.62041",
      "stress_lower": "0.004679"
    },
    "17": {
      "residual_upper_times_1e12": "0.062",
      "inverse_norm_upper": "7.96772",
      "stress_lower": "0.004101"
    },
    "20": {
      "residual_upper_times_1e12": "0.069",
      "inverse_norm_upper": "6.09602",
      "stress_lower": "0.007930"
    },
    "18,1": {
      "residual_upper_times_1e12": "0.092",
      "inverse_norm_upper": "2.55885",
      "stress_lower": "0.015845"
    },
    "18,2": {
      "residual_upper_times_1e12": "0.097",
      "inverse_norm_upper": "2.18496",
      "stress_lower": "0.015963"
    },
    "18,3": {
      "residual_upper_times_1e12": "0.093",
      "inverse_norm_upper": "2.49349",
      "stress_lower": "0.015573"
    },
    "18,4": {
      "residual_upper_times_1e12": "0.091",
      "inverse_norm_upper": "2.06761",
      "stress_lower": "0.010470"
    },
    "18,5": {
      "residual_upper_times_1e12": "0.089",
      "inverse_norm_upper": "2.26553",
      "stress_lower": "0.010678"
    },
    "18,6": {
      "residual_upper_times_1e12": "0.070",
      "inverse_norm_upper": "2.97043",
      "stress_lower": "0.015094"
    }
  }
}
PASS exact printed certificate summaries
