MaxLeafFormal.LobsterData

Source file MaxLeafFormal/LobsterData.lean of the Lean project (how it is built).

import Mathlib

/-!
# Uniform-lobster certificate data (generated)

Generated by `formal/scripts/export_lobster_cells.py` from the cover built by
`ancillary/lobster_rate_certificate.py`, SHA-256 `8c79f8ce1a1f0bee56217ff62f0ef490e44120b195f6ed61364b9678ecf7c8b5`.
4764 cells. Do not edit by hand. This file is data, not proof: every condition is
re-checked in `MaxLeafFormal.Lobster`.
-/

set_option maxRecDepth 100000

namespace MaxLeafFormal.Lobster

/-- The rational `a / b`. -/
def q (a b : ℕ) : ℚ := (a : ℚ) / b

/-- Cells `(a, b, w₀, w₁, w₂, λ, c)`, sorted by `a`: chunk 0. -/
def cells0 : List (ℚ × ℚ × ℚ × ℚ × ℚ × ℚ × ℚ) := [
  (q 0 1, q 3 256, q 1 1, q 284330945082663 500000000000000, q 303369202882049 1000000000000000, q 838253126419922911 79526416320311853056, q 500000000000000 284330945082663),
  (q 3 256, q 3 128, q 1 1, q 15265275024443 25000000000000, q 2708642728343 8000000000000, q 862842226197707 65536000000000000, q 25000000000000 15265275024443),
  (q 3 128, q 9 256, q 1 1, q 127851151894053 200000000000000, q 45588360807379 125000000000000, q 233187106412540909 14708572622140997632, q 200000000000000 127851151894053),
  (q 9 256, q 3 64, q 1 1, q 329782912555293 500000000000000, q 192560498405441 500000000000000, q 117766443410098661 6309822411749490688, q 500000000000000 329782912555293),
  (q 3 64, q 15 256, q 1 1, q 674106755396463 1000000000000000, q 200774859850871 500000000000000, q 5669834635429325583 262144000000000000000, q 1000000000000000 674106755396463),
  (q 15 256, q 9 128, q 1 1, q 171108600722443 250000000000000, q 25939266016709 62500000000000, q 405828870314426683 16384000000000000000, q 250000000000000 171108600722443),
  (q 9 128, q 21 256, q 1 1, q 691585791065529 1000000000000000, q 213119249524851 500000000000000, q 294696418617937881 10485760000000000000, q 1000000000000000 691585791065529),
  (q 21 256, q 3 32, q 1 1, q 139259051689011 200000000000000, q 435658517804331 1000000000000000, q 37648658290281773 1189638192617693184, q 200000000000000 139259051689011),
  (q 3 32, q 27 256, q 1 1, q 139820898832321 200000000000000, q 443638490896423 1000000000000000, q 8236442441778065533 232594337115103821824, q 200000000000000 139820898832321),
  (q 27 256, q 15 128, q 1 1, q 70042465137801 100000000000000, q 450443287643133 1000000000000000, q 258270680489402409 6553600000000000000, q 100000000000000 70042465137801),
  (q 15 128, q 33 256, q 1 1, q 175143559501363 250000000000000, q 456278181956691 1000000000000000, q 2860804657598324467 65536000000000000000, q 250000000000000 175143559501363),
  (q 33 256, q 9 64, q 1 1, q 349901833273089 500000000000000, q 461305296422941 1000000000000000, q 276051479419906289 5732791636346290176, q 500000000000000 349901833273089),
  (q 9 64, q 39 256, q 1 1, q 349155969703429 500000000000000, q 465654609713629 1000000000000000, q 6460143158871945269 122068562008769560576, q 500000000000000 349155969703429),
  (q 39 256, q 21 128, q 1 1, q 696258434165039 1000000000000000, q 4694316029721 10000000000000, q 237795034428535001 4101955937650606080, q 1000000000000000 696258434165039),
  (q 21 128, q 45 256, q 1 1, q 693771492145623 1000000000000000, q 18908909445399 40000000000000, q 1046074101237502177 16522857192182251520, q 1000000000000000 693771492145623),
  (q 45 256, q 3 16, q 1 1, q 345477419538291 500000000000000, q 118899867797829 250000000000000, q 11193516871431377 162337952833302528, q 500000000000000 345477419538291),
  (q 3 16, q 51 256, q 1 1, q 10748320095817 15625000000000, q 478121291927801 1000000000000000, q 293387924884967657 3916769623472545792, q 15625000000000 10748320095817),
  (q 51 256, q 105 512, q 1 1, q 686290989026101 1000000000000000, q 95853000412697 200000000000000, q 15680016609068499329 201018311521488338944, q 1000000000000000 686290989026101),
  (q 105 512, q 27 128, q 1 1, q 85581566903567 125000000000000, q 480338011993153 1000000000000000, q 65046504970312529 801239081227452416, q 125000000000000 85581566903567),
  (q 27 128, q 111 512, q 1 1, q 682983642649151 1000000000000000, q 240672665533207 500000000000000, q 60476375148540591263 716160256074476158976, q 1000000000000000 682983642649151),
  (q 111 512, q 57 256, q 1 1, q 340645087396789 500000000000000, q 482291566526453 1000000000000000, q 7839745731095315749 89298065790543855616, q 500000000000000 340645087396789),
  (q 57 256, q 117 512, q 1 1, q 339788701717357 500000000000000, q 241590480112059 500000000000000, q 1913164704073374157 20971520000000000000, q 500000000000000 339788701717357),
  (q 117 512, q 15 64, q 1 1, q 338925032459253 500000000000000, q 242008710732619 500000000000000, q 751365127831323829 7930141433286459392, q 500000000000000 338925032459253),
  (q 15 64, q 243 1024, q 1 1, q 338491139626941 500000000000000, q 484416940454209 1000000000000000, q 137063755728647751077 1419734740901837144064, q 500000000000000 338491139626941),
  (q 243 1024, q 123 512, q 1 1, q 338056205418057 500000000000000, q 121201139116747 250000000000000, q 50000696773301128865 508354422601928409088, q 500000000000000 338056205418057),
  (q 123 512, q 249 1024, q 1 1, q 168810230715631 250000000000000, q 121295169316341 250000000000000, q 70943339543921176335 708041425931493965824, q 250000000000000 168810230715631),
  (q 249 1024, q 63 256, q 1 1, q 67436825369483 100000000000000, q 7586651481731 15625000000000, q 9020980275118390327 88390795748288757760, q 100000000000000 67436825369483),
  (q 63 256, q 255 1024, q 1 1, q 673494818050691 1000000000000000, q 242949993026299 500000000000000, q 293619923521262461763 2824842009329285464064, q 1000000000000000 673494818050691),
  (q 255 1024, q 129 512, q 1 1, q 672621008136709 1000000000000000, q 486243913382103 1000000000000000, q 35979116819487342679 339909131812368023552, q 1000000000000000 672621008136709),
  (q 129 512, q 261 1024, q 1 1, q 67174719472603 100000000000000, q 486577825454379 1000000000000000, q 73320810737964818789 680285106538201219072, q 100000000000000 67174719472603),
  (q 261 1024, q 33 128, q 1 1, q 670873728183509 1000000000000000, q 486902057679729 1000000000000000, q 287658910063013021 2621440000000000000, q 1000000000000000 670873728183509),
  (q 33 128, q 267 1024, q 1 1, q 67000093944121 100000000000000, q 9744338656129 20000000000000, q 45656795352434909873 408707186027564892160, q 100000000000000 67000093944121),
  (q 267 1024, q 135 512, q 1 1, q 334564570463421 500000000000000, q 487522761456537 1000000000000000, q 6458846350834847621 56800518568561082368, q 500000000000000 334564570463421),
  (q 135 512, q 273 1024, q 1 1, q 668258627447583 1000000000000000, q 243909921317899 500000000000000, q 485430353969809074303 4194304000000000000000, q 1000000000000000 668258627447583),
  (q 273 1024, q 549 2048, q 1 1, q 667823940113171 1000000000000000, q 97593038661389 200000000000000, q 1958855365328763971291 16777216000000000000000, q 1000000000000000 667823940113171),
  (q 549 2048, q 69 256, q 1 1, q 66738967703159 100000000000000, q 244054232109899 500000000000000, q 15071036637167347739 127954705244434726912, q 100000000000000 66738967703159),
  (q 69 256, q 555 2048, q 1 1, q 666955870466107 1000000000000000, q 244124844847837 500000000000000, q 1329527312513890803971 11189662701277897818112, q 1000000000000000 666955870466107),
  (q 555 2048, q 279 1024, q 1 1, q 666522551729373 1000000000000000, q 244194451708469 500000000000000, q 491041777936686046765 4096903062314553442304, q 1000000000000000 666522551729373),
  (q 279 1024, q 561 2048, q 1 1, q 666089751206411 1000000000000000, q 488526138440317 1000000000000000, q 2028403230369850970219 16777216000000000000000, q 1000000000000000 666089751206411),
  (q 561 2048, q 141 512, q 1 1, q 20801796824283 31250000000000, q 15270669600309 31250000000000, q 886696048346971549 7270754968939790336, q 31250000000000 20801796824283),
  (q 141 512, q 567 2048, q 1 1, q 665225821837861 1000000000000000, q 244397400784887 500000000000000, q 2063789127214208128501 16777216000000000000000, q 1000000000000000 665225821837861),
  (q 567 2048, q 285 1024, q 1 1, q 66479474932347 100000000000000, q 244463146388269 500000000000000, q 52040906155799252307 419430400000000000000, q 100000000000000 66479474932347),
  (q 285 1024, q 573 2048, q 1 1, q 166091076931873 250000000000000, q 97811186302259 200000000000000, q 513407638863825755833 4102498499523101327360, q 250000000000000 166091076931873),
  (q 573 2048, q 9 32, q 1 1, q 331967261561437 500000000000000, q 244591873945771 500000000000000, q 258501038591255293 2048000000000000000, q 500000000000000 331967261561437),
  (q 9 32, q 579 2048, q 1 1, q 82938177597723 125000000000000, q 489309771482711 1000000000000000, q 177139220666361743599 1391471720203359879168, q 125000000000000 82938177597723),
  (q 579 2048, q 291 1024, q 1 1, q 331538512597517 500000000000000, q 489434031309469 1000000000000000, q 263567613426523270133 2052835115257431064576, q 500000000000000 331538512597517),
  (q 291 1024, q 585 2048, q 1 1, q 165662340022757 250000000000000, q 489556555866747 1000000000000000, q 359889340780319123997 2779352861627239104512, q 250000000000000 165662340022757),
  (q 585 2048, q 147 512, q 1 1, q 66222244845427 100000000000000, q 489677373130523 1000000000000000, q 45339443559499948951 347195283055192309760, q 100000000000000 66222244845427),
  (q 147 512, q 591 2048, q 1 1, q 82724539067929 125000000000000, q 489796510568361 1000000000000000, q 90182775029794760411 684785154487639605248, q 125000000000000 82724539067929),
  (q 591 2048, q 297 1024, q 1 1, q 661370973908993 1000000000000000, q 489913995149711 1000000000000000, q 49618437659674266835 373608769002256990208, q 1000000000000000 661370973908993),
  (q 297 1024, q 1191 4096, q 1 1, q 661158610115547 1000000000000000, q 244986062956717 500000000000000, q 5917471514910903488987 44369603248673267908608, q 1000000000000000 661158610115547),
  (q 1191 4096, q 597 2048, q 1 1, q 660946453410461 1000000000000000, q 122507463338993 250000000000000, q 2246945947957536185141 16777216000000000000000, q 1000000000000000 660946453410461),
  (q 597 2048, q 1197 4096, q 1 1, q 660734506295967 1000000000000000, q 98017436142571 200000000000000, q 1769316587391735880747 13155677583440963698688, q 1000000000000000 660734506295967),
  (q 1197 4096, q 75 256, q 1 1, q 660522771233193 1000000000000000, q 122536027797583 250000000000000, q 23384987908960963297 173152081342154145792, q 1000000000000000 660522771233193),
  (q 75 256, q 1203 4096, q 1 1, q 660311250642667 1000000000000000, q 61275080995707 125000000000000, q 6009697859772019887507 44312737917048652300288, q 1000000000000000 660311250642667),
  (q 1203 4096, q 603 2048, q 1 1, q 165024986726203 250000000000000, q 122564198546847 250000000000000, q 377055950561116500411 2768659847702640590848, q 250000000000000 165024986726203),
  (q 603 2048, q 1209 4096, q 1 1, q 329944431180221 500000000000000, q 122578138243919 250000000000000, q 4588764401574724239869 33554432000000000000000, q 500000000000000 329944431180221),
  (q 1209 4096, q 303 1024, q 1 1, q 329838999655621 500000000000000, q 490367927422547 1000000000000000, q 282445747312614347941 2056752159460098572288, q 500000000000000 329838999655621),
  (q 303 1024, q 1215 4096, q 1 1, q 329733680010129 500000000000000, q 122605730148047 250000000000000, q 4538459645368912688449 32911725080503943954432, q 500000000000000 329733680010129),
  (q 1215 4096, q 609 2048, q 1 1, q 329628473356181 500000000000000, q 245238767760611 500000000000000, q 1139460181629702045941 8228847556587214077952, q 500000000000000 329628473356181),
  (q 609 2048, q 1221 4096, q 1 1, q 82380845196841 125000000000000, q 490531775218989 1000000000000000, q 381439607030959400439 2743252515904141918208, q 125000000000000 82380845196841),
  (q 1221 4096, q 153 512, q 1 1, q 329418403378647 500000000000000, q 61323205333477 125000000000000, q 73202741705431345767 524288000000000000000, q 500000000000000 329418403378647),
  (q 153 512, q 1227 4096, q 1 1, q 658627084373217 1000000000000000, q 490639140823287 1000000000000000, q 9408758457450862412217 67108864000000000000000, q 1000000000000000 658627084373217),
  (q 1227 4096, q 615 2048, q 1 1, q 164604399124833 250000000000000, q 30668267038407 62500000000000, q 590479628961493763457 4194304000000000000000, q 250000000000000 164604399124833),
  (q 615 2048, q 1233 4096, q 1 1, q 41138021573537 62500000000000, q 490745040944389 1000000000000000, q 581943745074465581755 4116667776426429120512, q 62500000000000 41138021573537),
  (q 1233 4096, q 309 1024, q 1 1, q 16449983310263 25000000000000, q 122699362172467 250000000000000, q 73050830627310199691 514638425557427027968, q 25000000000000 16449983310263),
  (q 309 1024, q 1239 4096, q 1 1, q 657790560171633 1000000000000000, q 245424749351103 500000000000000, q 9565071069579539098977 67108864000000000000000, q 1000000000000000 657790560171633),
  (q 1239 4096, q 621 2048, q 1 1, q 328791015197943 500000000000000, q 245450596903611 500000000000000, q 392901798550965127973 2745318454387208617984, q 500000000000000 328791015197943),
  (q 621 2048, q 1245 4096, q 1 1, q 164343436246273 250000000000000, q 98190507361111 200000000000000, q 473468697309996977245 3294726702293898493952, q 250000000000000 164343436246273),
  (q 1245 4096, q 39 128, q 1 1, q 328582852903673 500000000000000, q 122750882618227 250000000000000, q 4643170502716183337 32178407373072498688, q 500000000000000 328582852903673),
  (q 39 128, q 1251 4096, q 1 1, q 656957914697439 1000000000000000, q 245527088780149 500000000000000, q 6387683096492211713159 44087699351154034999296, q 1000000000000000 656957914697439),
  (q 1251 4096, q 627 2048, q 1 1, q 164187593364319 250000000000000, q 245552240397149 500000000000000, q 610181877557085439399 4194304000000000000000, q 250000000000000 164187593364319),
  (q 627 2048, q 2511 8192, q 1 1, q 656646697092549 1000000000000000, q 491129504311707 1000000000000000, q 4270794186653622439789 29297016098881563262976, q 1000000000000000 656646697092549),
  (q 2511 8192, q 1257 4096, q 1 1, q 26261723354251 40000000000000, q 245577221438641 500000000000000, q 392112237131519637211 2684354560000000000000, q 40000000000000 26261723354251),
  (q 1257 4096, q 2517 8192, q 1 1, q 656439533964621 1000000000000000, q 19647171873003 40000000000000, q 12866009467243729654247 87899959013998906572800, q 1000000000000000 656439533964621),
  (q 2517 8192, q 315 1024, q 1 1, q 26253441905271 40000000000000, q 24560203324383 50000000000000, q 13430080744631129603 91567074706020368384, q 40000000000000 26253441905271),
  (q 315 1024, q 2523 8192, q 1 1, q 656232625069957 1000000000000000, q 491228752196133 1000000000000000, q 25889310478284059802741 176156103952730939195392, q 1000000000000000 656232625069957),
  (q 2523 8192, q 1263 4096, q 1 1, q 82016158311179 125000000000000, q 12281333857003 25000000000000, q 1213755275383338740087 8241863635482097745920, q 125000000000000 82016158311179),
  (q 1263 4096, q 2529 8192, q 1 1, q 656025972098519 1000000000000000, q 49127787306779 100000000000000, q 7784220220900830803707 52750559951864931024896, q 1000000000000000 656025972098519),
  (q 2529 8192, q 633 2048, q 1 1, q 655922742103609 1000000000000000, q 15353197152683 31250000000000, q 1627205394160011846793 11004557523584542572544, q 1000000000000000 655922742103609),
  (q 633 2048, q 2535 8192, q 1 1, q 163954894177293 250000000000000, q 491326662059583 1000000000000000, q 3256941201995456081571 21981582762487010295808, q 250000000000000 163954894177293),
  (q 2535 8192, q 1269 4096, q 1 1, q 65571647611777 100000000000000, q 614188666141 1250000000000, q 979113890460295875401 6594800586623643811840, q 100000000000000 65571647611777),
  (q 1269 4096, q 2541 8192, q 1 1, q 655613440530071 1000000000000000, q 491375121767901 1000000000000000, q 1868853648295353565891 12562143321792574390272, q 1000000000000000 655613440530071),
  (q 2541 8192, q 159 512, q 1 1, q 655510470144857 1000000000000000, q 7678112952279 15625000000000, q 102463814433307293849 687352546742613573632, q 1000000000000000 655510470144857),
  (q 159 512, q 2547 8192, q 1 1, q 327703782579521 500000000000000, q 98284650953243 200000000000000, q 19704499172092679828321 131915425482173096919040, q 500000000000000 327703782579521),
  (q 2547 8192, q 1275 4096, q 1 1, q 26212189030707 40000000000000, q 491447199547119 1000000000000000, q 3290891603797545661473 21986975518392313708544, q 40000000000000 26212189030707),
  (q 1275 4096, q 2553 8192, q 1 1, q 16380048804099 25000000000000, q 491471063605303 1000000000000000, q 4946563785333207019529 32982064767423628705792, q 25000000000000 16380048804099),
  (q 2553 8192, q 639 2048, q 1 1, q 327549622269631 500000000000000, q 98298969451221 200000000000000, q 413066995198389654709 2748638405100893634560, q 500000000000000 327549622269631),
  (q 639 2048, q 2559 8192, q 1 1, q 8187457538539 12500000000000, q 15359954712921 31250000000000, q 413921490607040086103 2748770965001531817984, q 12500000000000 8187457538539),
  (q 2559 8192, q 1281 4096, q 1 1, q 32744701399163 50000000000000, q 30721385911873 62500000000000, q 2488662815244649477327 16493418472411209138176, q 50000000000000 32744701399163),
  (q 1281 4096, q 2565 8192, q 1 1, q 130958303885121 200000000000000, q 491565718896779 1000000000000000, q 26575025553992208203141 175769260101945136250880, q 200000000000000 130958303885121),
  (q 2565 8192, q 321 1024, q 1 1, q 327344538797143 500000000000000, q 491589184043721 1000000000000000, q 317713366910319021847 2097152000000000000000, q 500000000000000 327344538797143),
  (q 321 1024, q 2571 8192, q 1 1, q 163646675667913 250000000000000, q 491612570339247 1000000000000000, q 6668480458692915452463 43928570005800330723328, q 250000000000000 163646675667913),
  (q 2571 8192, q 1287 4096, q 1 1, q 130896878967657 200000000000000, q 491635878090451 1000000000000000, q 10037069590348681019101 65986250560585311715328, q 200000000000000 130896878967657),
  (q 1287 4096, q 2577 8192, q 1 1, q 40898884642063 62500000000000, q 491659107603081 1000000000000000, q 3346631677208636359899 21957421497567156371456, q 62500000000000 40898884642063),
  (q 2577 8192, q 645 2048, q 1 1, q 5111562352757 7812500000000, q 491682259181537 1000000000000000, q 40034925572358876211 262144000000000000000, q 7812500000000 5111562352757),
  (q 645 2048, q 2583 8192, q 1 1, q 81772234456661 125000000000000, q 122926333282221 250000000000000, q 468617826701260833 3062300089915277312, q 125000000000000 81772234456661),
  (q 2583 8192, q 1293 4096, q 1 1, q 327037918973899 500000000000000, q 98345665949371 200000000000000, q 5059965567968518315027 32999329605928846622720, q 500000000000000 327037918973899),
  (q 1293 4096, q 2589 8192, q 1 1, q 26158954728333 40000000000000, q 245875624667931 500000000000000, q 13520954575238669075391 88002313902694542082048, q 40000000000000 26158954728333),
  (q 2589 8192, q 81 256, q 1 1, q 81733995825633 125000000000000, q 122943523048749 250000000000000, q 551298205962331001 3580989656232361984, q 125000000000000 81733995825633),
  (q 81 256, q 2595 8192, q 1 1, q 653770133306517 1000000000000000, q 491796858622039 1000000000000000, q 27071863495105533656821 175495083853315678666752, q 1000000000000000 653770133306517),
  (q 2595 8192, q 1299 4096, q 1 1, q 653668368479503 1000000000000000, q 245909774456733 500000000000000, q 6780468009504444881175 43866941641392853614592, q 1000000000000000 653668368479503),
  (q 1299 4096, q 2601 8192, q 1 1, q 65356667228917 100000000000000, q 61480270420557 125000000000000, q 6816088917206338159019 44009291800921413517312, q 100000000000000 65356667228917),
  (q 2601 8192, q 5205 16384, q 1 1, q 81689481247989 125000000000000, q 491853442241677 1000000000000000, q 27196995905273303692963 175426825193659010383872, q 125000000000000 81689481247989),
  (q 5205 16384, q 651 2048, q 1 1, q 653465044899003 1000000000000000, q 98372940453779 200000000000000, q 512252870340989511431 3300848141096376598528, q 1000000000000000 653465044899003),
  (q 651 2048, q 5211 16384, q 1 1, q 653414257054619 1000000000000000, q 245937971741323 500000000000000, q 108988610330795842750463 701598216197431472685056, q 1000000000000000 653414257054619),
  (q 5211 16384, q 2607 8192, q 1 1, q 653363486470837 1000000000000000, q 491887165919383 1000000000000000, q 41064037390053701755909 264079911368234469687296, q 1000000000000000 653363486470837),
  (q 2607 8192, q 5217 16384, q 1 1, q 163328183291907 250000000000000, q 491898369615483 1000000000000000, q 568695178973236666061 3653589613301219721216, q 250000000000000 163328183291907),
  (q 5217 16384, q 1305 4096, q 1 1, q 130652399432973 200000000000000, q 12297738865181 25000000000000, q 2057397843749060560093 13204596560175137030144, q 200000000000000 130652399432973),
  (q 1305 4096, q 5223 16384, q 1 1, q 653211278482317 1000000000000000, q 61490090116359 125000000000000, q 167465840680075514649237 1073741824000000000000000, q 1000000000000000 653211278482317),
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  (q 5397 16384, q 10797 32768, q 1 1, q 40642188773033 62500000000000, q 492542690851183 1000000000000000, q 177430579159739813612597 1073741824000000000000000, q 62500000000000 40642188773033),
  (q 10797 32768, q 675 2048, q 1 1, q 325125095009299 500000000000000, q 492547751897023 1000000000000000, q 901802678579279674331 5454693945991531331584, q 500000000000000 325125095009299),
  (q 675 2048, q 10803 32768, q 1 1, q 162556341062923 250000000000000, q 49255280878451 100000000000000, q 3552086207807680601249 21474836480000000000000, q 250000000000000 162556341062923),
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  (q 10809 32768, q 2703 8192, q 1 1, q 650150914466791 1000000000000000, q 246283977268251 500000000000000, q 44466280676944539668791 268435456000000000000000, q 1000000000000000 650150914466791),
  (q 2703 8192, q 10815 32768, q 1 1, q 65012610704963 100000000000000, q 98514598966041 200000000000000, q 23138263494763423068621 139613518402697794945024, q 100000000000000 65012610704963),
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  (q 10839 32768, q 5421 16384, q 1 1, q 162475761783881 250000000000000, q 492618171710919 1000000000000000, q 14520163628007746772657 87228510406806939369472, q 250000000000000 162475761783881),
  (q 5421 16384, q 10845 32768, q 1 1, q 649878285714489 1000000000000000, q 492623170796069 1000000000000000, q 704741383201263976357061 4231600815641877280718848, q 1000000000000000 649878285714489),
  (q 10845 32768, q 339 1024, q 1 1, q 64985352890249 100000000000000, q 492628165781927 1000000000000000, q 227081872828304902741 1362841627844914708480, q 100000000000000 64985352890249),
  (q 339 1024, q 10851 32768, q 1 1, q 649828776701223 1000000000000000, q 98526631334479 200000000000000, q 715993202025881570380827 4294967296000000000000000, q 1000000000000000 649828776701223),
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  (q 21729 65536, q 5433 16384, q 1 1, q 162426271228687 250000000000000, q 98531609966043 200000000000000, q 2946677032303040394599 17632918434432598147072, q 250000000000000 162426271228687),
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  (q 21735 65536, q 10869 32768, q 1 1, q 40605022525821 62500000000000, q 492663016230083 1000000000000000, q 176888633248919640426941 1057985771328461848182784, q 62500000000000 40605022525821),
  (q 10869 32768, q 21741 65536, q 1 1, q 649667999895641 1000000000000000, q 246332748952103 500000000000000, q 2830922394636335663852515 16927857610928970486775808, q 1000000000000000 649667999895641),
  (q 21741 65536, q 1359 4096, q 1 1, q 649655640533963 1000000000000000, q 61583497320221 125000000000000, q 11061042078446450970187 66124776740913208623104, q 1000000000000000 649655640533963),
  (q 1359 4096, q 21747 65536, q 1 1, q 162410820582077 250000000000000, q 123167614550813 250000000000000, q 1867379044718328595015427 11160786606664710380060672, q 250000000000000 162410820582077),
  (q 21747 65536, q 10875 32768, q 1 1, q 162407731319721 250000000000000, q 24633646841457 50000000000000, q 1475539516350394811627 8816725630439292665856, q 250000000000000 162407731319721),
  (q 10875 32768, q 21753 65536, q 1 1, q 324809284692947 500000000000000, q 246337707219959 500000000000000, q 179741856290127850598671 1073741824000000000000000, q 500000000000000 324809284692947),
  (q 21753 65536, q 5439 16384, q 1 1, q 81200776831193 125000000000000, q 246338945518033 500000000000000, q 29197470470690111805413 174377340449884223832064, q 125000000000000 81200776831193),
  (q 5439 16384, q 21759 65536, q 1 1, q 649593861070041 1000000000000000, q 123170091654517 250000000000000, q 2835150381560658553345471 16928368496047137461633024, q 1000000000000000 649593861070041),
  (q 21759 65536, q 10881 32768, q 1 1, q 162395377161897 250000000000000, q 492682841186407 1000000000000000, q 233684724001221087128159 1394965667863865824641024, q 250000000000000 162395377161897),
  (q 10881 32768, q 21765 65536, q 1 1, q 64956915738239 100000000000000, q 492685314741563 1000000000000000, q 354570078657739268171191 2116067314034479776923648, q 100000000000000 64956915738239),
  (q 21765 65536, q 2721 8192, q 1 1, q 162389201818663 250000000000000, q 24634389364201 50000000000000, q 7305928585565922362561 43591019439668831715328, q 250000000000000 162389201818663),
  (q 2721 8192, q 21771 65536, q 1 1, q 649544458324577 1000000000000000, q 246345129407129 500000000000000, q 116921110773100180752271 697443051450523292008448, q 1000000000000000 649544458324577),
  (q 21771 65536, q 10887 32768, q 1 1, q 649532110532369 1000000000000000, q 492692729332759 1000000000000000, q 467789471963258987503639 2789719172438382004404224, q 1000000000000000 649532110532369),
  (q 10887 32768, q 21777 65536, q 1 1, q 81189970487279 125000000000000, q 123173799710001 250000000000000, q 1440739888443073251739961 8589934592000000000000000, q 125000000000000 81189970487279),
  (q 21777 65536, q 5445 16384, q 1 1, q 649507418422367 1000000000000000, q 492697667336473 1000000000000000, q 177505516188558313575823 1058060184012819481493504, q 1000000000000000 649507418422367),
  (q 5445 16384, q 21783 65536, q 1 1, q 324747537052489 500000000000000, q 61587516852831 125000000000000, q 1872418600470000633261837 11158240408775907923197952, q 500000000000000 324747537052489),
  (q 21783 65536, q 10893 32768, q 1 1, q 649482730946267 1000000000000000, q 7698478145297 15625000000000, q 468209740020671382266549 2789507088730983898284032, q 1000000000000000 649482730946267),
  (q 10893 32768, q 21789 65536, q 1 1, q 649470388946437 1000000000000000, q 492705066766033 1000000000000000, q 2842206215915271323365999 16929217186668865749254144, q 1000000000000000 649470388946437),
  (q 21789 65536, q 681 2048, q 1 1, q 81182256013211 125000000000000, q 123176882806051 250000000000000, q 228720686334381887327 1362012244500939800576, q 125000000000000 81182256013211),
  (q 681 2048, q 21795 65536, q 1 1, q 649445708424223 1000000000000000, q 492709994673999 1000000000000000, q 947872920652051745632583 5643128836099093030764544, q 1000000000000000 649445708424223),
  (q 21795 65536, q 10899 32768, q 1 1, q 324716684951121 500000000000000, q 246356228557949 500000000000000, q 355540650930044064093143 2116183889644584391671808, q 500000000000000 324716684951121),
  (q 10899 32768, q 21801 65536, q 1 1, q 324710516269973 500000000000000, q 24635745927519 50000000000000, q 1874941673943744717912879 11156968384374479534424064, q 500000000000000 324710516269973),
  (q 21801 65536, q 5451 16384, q 1 1, q 5073505440137 7812500000000, q 492717378977923 1000000000000000, q 22232331588970206020327 132262814305063574437888, q 7812500000000 5073505440137),
  (q 5451 16384, q 21807 65536, q 1 1, q 162349090323803 250000000000000, q 492719838399007 1000000000000000, q 1875783186961980619848367 11156544535617342965547008, q 250000000000000 162349090323803),
  (q 21807 65536, q 10905 32768, q 1 1, q 324692013706587 500000000000000, q 123180574203527 250000000000000, q 355894017422230489004821 2116226150826598851411968, q 500000000000000 324692013706587),
  (q 10905 32768, q 21813 65536, q 1 1, q 649371694691621 1000000000000000, q 246362377111853 500000000000000, q 2889908752809828917762639 17179869184000000000000000, q 1000000000000000 649371694691621),
  (q 21813 65536, q 2727 8192, q 1 1, q 5073120024459 7812500000000, q 246363605314139 500000000000000, q 4516581123083857107 26843545600000000000, q 7812500000000 5073120024459),
  (q 2727 8192, q 21819 65536, q 1 1, q 649347032730767 1000000000000000, q 4927296660283 10000000000000, q 2849273546122488033452101 16930062410884405683814400, q 1000000000000000 649347032730767),
  (q 21819 65536, q 10911 32768, q 1 1, q 81166837936483 125000000000000, q 492732120424251 1000000000000000, q 59374602329478161745587 352711390485148615049216, q 125000000000000 81166837936483),
  (q 10911 32768, q 21825 65536, q 1 1, q 649322375414241 1000000000000000, q 15397955431769 31250000000000, q 2892722110506079062661371 17179869184000000000000000, q 1000000000000000 649322375414241),
  (q 21825 65536, q 5457 16384, q 1 1, q 649310048498097 1000000000000000, q 246368513102923 500000000000000, q 180839108691554959708473 1073741824000000000000000, q 1000000000000000 649310048498097),
  (q 5457 16384, q 21831 65536, q 1 1, q 162324430685907 250000000000000, q 246369738796221 500000000000000, q 475350616561745657244539 2821733255610217609035776, q 250000000000000 162324430685907),
  (q 21831 65536, q 10917 32768, q 1 1, q 324642699075517 500000000000000, q 246370963988437 500000000000000, q 361854167902041414162727 2147483648000000000000000, q 500000000000000 324642699075517),
  (q 10917 32768, q 21837 65536, q 1 1, q 649273074720509 1000000000000000, q 98548875471923 200000000000000, q 570703893315288700073531 3386113577675886809841664, q 1000000000000000 649273074720509),
  (q 21837 65536, q 1365 4096, q 1 1, q 162315188113063 250000000000000, q 492746825741143 1000000000000000, q 1836343630113541939027 10892787884213961490432, q 250000000000000 162315188113063),
  (q 1365 4096, q 21843 65536, q 1 1, q 649248431346459 1000000000000000, q 123187318280483 250000000000000, q 940418698825959823041937 5577001559224685300809728, q 1000000000000000 649248431346459),
  (q 21843 65536, q 10923 32768, q 1 1, q 324618055701663 500000000000000, q 492751719502457 1000000000000000, q 356955497605813873170517 2116352520310818206646272, q 500000000000000 324618055701663),
  (q 10923 32768, q 21849 65536, q 1 1, q 649223792623049 1000000000000000, q 246377082441597 500000000000000, q 952117460855899753502177 5643634728376293040062464, q 1000000000000000 649223792623049),
  (q 21849 65536, q 5463 16384, q 1 1, q 649211475005823 1000000000000000, q 492756609264617 1000000000000000, q 178566306215944319815367 1058186760839690312482816, q 1000000000000000 649211475005823),
  (q 5463 16384, q 21855 65536, q 1 1, q 162299789637961 250000000000000, q 492759052647201 1000000000000000, q 1882524090861928978996791 11153156618283554801975296, q 250000000000000 162299789637961),
  (q 21855 65536, q 10929 32768, q 1 1, q 649186843261307 1000000000000000, q 492761495031419 1000000000000000, q 725117097113044700694287 4294967296000000000000000, q 1000000000000000 649186843261307),
  (q 10929 32768, q 21861 65536, q 1 1, q 129834905826881 200000000000000, q 98552787283549 200000000000000, q 188336780447152658762879 1115273348811387465367552, q 200000000000000 129834905826881),
  (q 21861 65536, q 2733 8192, q 1 1, q 129832443234267 200000000000000, q 492766376806653 1000000000000000, q 9068369710409370199587 53687091200000000000000, q 200000000000000 129832443234267),
  (q 2733 8192, q 21867 65536, q 1 1, q 10142967255817 15625000000000, q 61596102024827 125000000000000, q 1884211762808872104874231 11152310437922017474772992, q 15625000000000 10142967255817),
  (q 21867 65536, q 10935 32768, q 1 1, q 649137593737461 1000000000000000, q 123192813648527 250000000000000, q 725822172350673041481969 4294967296000000000000000, q 1000000000000000 649137593737461),
  (q 10935 32768, q 21873 65536, q 1 1, q 162281321066761 250000000000000, q 492773691993601 1000000000000000, q 1885055965917477668830273 11151887467734629242372096, q 250000000000000 162281321066761),
  (q 21873 65536, q 5469 16384, q 1 1, q 649112975961233 1000000000000000, q 492776128397567 1000000000000000, q 178920823861522842105569 1058228677858523575484416, q 1000000000000000 649112975961233),
  (q 5469 16384, q 21879 65536, q 1 1, q 649100668820219 1000000000000000, q 6159732047581 12500000000000, q 2863442735635011355463777 16931742525749446983024640, q 1000000000000000 649100668820219),
  (q 21879 65536, q 10941 32768, q 1 1, q 162272090711049 250000000000000, q 492780998220811 1000000000000000, q 89504762648615889993113 529119567862154357899264, q 250000000000000 162272090711049),
  (q 10941 32768, q 21885 65536, q 1 1, q 324538029016677 500000000000000, q 61597928955129 125000000000000, q 12835000725323157150521 75857426989655877746688, q 500000000000000 324538029016677),
  (q 21885 65536, q 171 512, q 1 1, q 649063754387887 1000000000000000, q 98557172813523 200000000000000, q 115183565969774149239 680592675321032998912, q 1000000000000000 649063754387887),
  (q 171 512, q 21891 65536, q 1 1, q 324525725953993 500000000000000, q 49278829550103 100000000000000, q 111034708488584641295217 655918766909674510876672, q 500000000000000 324525725953993),
  (q 21891 65536, q 10947 32768, q 1 1, q 324519575296921 500000000000000, q 1971162903767 4000000000000, q 230470288696218246553 1361133752746176937984, q 500000000000000 324519575296921),
  (q 10947 32768, q 21897 65536, q 1 1, q 324513425222823 500000000000000, q 123198288847561 250000000000000, q 1888435226934659861949619 11150196387559730382372864, q 500000000000000 324513425222823),
  (q 21897 65536, q 5475 16384, q 1 1, q 649014551463589 1000000000000000, q 492795583846983 1000000000000000, q 118053619382318561151753 696874068291055922446336, q 1000000000000000 649014551463589),
  (q 5475 16384, q 21903 65536, q 1 1, q 649002253647861 1000000000000000, q 246399005656219 500000000000000, q 236160081819021055876087 1393721727223929847676928, q 1000000000000000 649002253647861),
  (q 21903 65536, q 10953 32768, q 1 1, q 648989956998653 1000000000000000, q 492800437787079 1000000000000000, q 29117607135008958620873 171798691840000000000000, q 1000000000000000 648989956998653),
  (q 10953 32768, q 21909 65536, q 1 1, q 648977661516153 1000000000000000, q 3942422906171 8000000000000, q 945063163600982343094877 5574675664092869821464576, q 1000000000000000 648977661516153),
  (q 21909 65536, q 2739 8192, q 1 1, q 81120670900069 125000000000000, q 123201321941449 250000000000000, q 67565310572746573801 398453048616333344768, q 125000000000000 81120670900069),
  (q 2739 8192, q 21915 65536, q 1 1, q 648953074052039 1000000000000000, q 123201927817703 250000000000000, q 2913881327536343657043389 17179869184000000000000000, q 1000000000000000 648953074052039),
  (q 21915 65536, q 10959 32768, q 1 1, q 324470391035401 500000000000000, q 492810133786891 1000000000000000, q 59106102990854608236131 348397429504344718311424, q 500000000000000 324470391035401),
  (q 10959 32768, q 21921 65536, q 1 1, q 64892849125703 100000000000000, q 246406277657251 500000000000000, q 1891818407772405622221107 11148506589566263120363520, q 100000000000000 64892849125703),
  (q 21921 65536, q 5481 16384, q 1 1, q 20278631300341 31250000000000, q 492814975854113 1000000000000000, q 22453905325113169835833 132289012767027812630528, q 31250000000000 20278631300341),
  (q 5481 16384, q 21927 65536, q 1 1, q 162225978283159 250000000000000, q 246408697703097 500000000000000, q 159711737835095492347153 940726487186446162591744, q 250000000000000 162225978283159),
  (q 21927 65536, q 10965 32768, q 1 1, q 162222906455597 250000000000000, q 123204953492803 250000000000000, q 236636013966686002228499 1393484155777712782311424, q 250000000000000 162222906455597),
  (q 10965 32768, q 21933 65536, q 1 1, q 648879339680357 1000000000000000, q 98564446309927 200000000000000, q 946755734496969348599983 5573831085954416817209344, q 1000000000000000 648879339680357),
  (q 21933 65536, q 1371 4096, q 1 1, q 64886705470673 100000000000000, q 49282464814193 100000000000000, q 45606773226615433793 268435456000000000000, q 100000000000000 64886705470673),
  (q 1371 4096, q 21939 65536, q 1 1, q 162213692725423 250000000000000, q 123206765937141 250000000000000, q 479609672194322336842175 2822234828511719395950592, q 250000000000000 162213692725423),
  (q 21939 65536, q 10971 32768, q 1 1, q 81105311033179 125000000000000, q 246414739185003 500000000000000, q 236847738583958097441747 1393378633677647103655936, q 125000000000000 81105311033179),
  (q 10971 32768, q 21945 65536, q 1 1, q 129766041359627 200000000000000, q 492831892006721 1000000000000000, q 473801377803621219549719 2786704518854906698792960, q 200000000000000 129766041359627),
  (q 21945 65536, q 5487 16384, q 1 1, q 648817926499987 1000000000000000, q 61604288082397 125000000000000, q 182604115275197074034443 1073741824000000000000000, q 1000000000000000 648817926499987),
  (q 5487 16384, q 21951 65536, q 1 1, q 648805647371173 1000000000000000, q 492836716327837 1000000000000000, q 2880506632942839866392459 16933740631168713035350016, q 1000000000000000 648805647371173),
  (q 21951 65536, q 10977 32768, q 1 1, q 648793369411879 1000000000000000, q 492839127013171 1000000000000000, q 730770679958128498926619 4294967296000000000000000, q 1000000000000000 648793369411879),
  (q 10977 32768, q 21957 65536, q 1 1, q 64878109262229 100000000000000, q 492841536715643 1000000000000000, q 146189566585156394233737 858993459200000000000000, q 100000000000000 64878109262229),
  (q 21957 65536, q 2745 8192, q 1 1, q 64876881700259 100000000000000, q 246421972717859 500000000000000, q 22520658560083123215911 132296789229876080017408, q 100000000000000 64876881700259),
  (q 2745 8192, q 21963 65536, q 1 1, q 162189135638241 250000000000000, q 492846353173863 1000000000000000, q 1462604451903869042709513 8589934592000000000000000, q 250000000000000 162189135638241),
  (q 21963 65536, q 10983 32768, q 1 1, q 162186067318399 250000000000000, q 492848759930541 1000000000000000, q 4291770806433759720985 25199634592569390792704, q 250000000000000 162186067318399),
  (q 10983 32768, q 21969 65536, q 1 1, q 64873199716467 100000000000000, q 492851165706219 1000000000000000, q 73165673511638722794507 429496729600000000000000, q 100000000000000 64873199716467),
  (q 21969 65536, q 5493 16384, q 1 1, q 10136245722287 15625000000000, q 6160669631267 12500000000000, q 29672198356097814398425 174139375525770253303808, q 15625000000000 10136245722287),
  (q 5493 16384, q 21975 65536, q 1 1, q 162176864114719 250000000000000, q 123213993579107 250000000000000, q 1899444910919475905392343 11144709240648865555677184, q 250000000000000 162176864114719),
  (q 21975 65536, q 10989 32768, q 1 1, q 5189561502899 8000000000000, q 30803648571993 62500000000000, q 21870626828220916988579 128291552207696520282112, q 8000000000000 5189561502899),
  (q 10989 32768, q 21981 65536, q 1 1, q 81085365054631 125000000000000, q 123215194752051 250000000000000, q 1900293527348931856437561 11144287715003564747128832, q 125000000000000 81085365054631),
  (q 21981 65536, q 687 2048, q 1 1, q 648670654183077 1000000000000000, q 492863179885839 1000000000000000, q 618723283743502673335 3627629226030262124544, q 1000000000000000 648670654183077),
  (q 687 2048, q 21987 65536, q 1 1, q 129731677820129 200000000000000, q 61608197473157 125000000000000, q 475285597343995415343859 2785966567463313127505920, q 200000000000000 129731677820129),
  (q 21987 65536, q 10995 32768, q 1 1, q 648646125189933 1000000000000000, q 492867978706919 1000000000000000, q 732898432078578767102577 4294967296000000000000000, q 1000000000000000 648646125189933),
  (q 10995 32768, q 21993 65536, q 1 1, q 324316931225561 500000000000000, q 49287037665129 100000000000000, q 1901991497044096230372471 11143444905222925554024448, q 500000000000000 324316931225561),
  (q 21993 65536, q 5499 16384, q 1 1, q 324310800442197 500000000000000, q 492872773618831 1000000000000000, q 90350167156656126694121 529218110945422678687744, q 500000000000000 324310800442197),
  (q 5499 16384, q 21999 65536, q 1 1, q 64860934048993 100000000000000, q 246437584805003 500000000000000, q 180744970110152305433761 1058441367242714422181888, q 100000000000000 64860934048993),
  (q 21999 65536, q 44001 131072, q 1 1, q 648603210732353 1000000000000000, q 1232190918099 2500000000000, q 642728144781882544085727 3763356228027320526438400, q 1000000000000000 648603210732353),
  (q 44001 131072, q 11001 32768, q 1 1, q 64859708126791 100000000000000, q 123219391156319 250000000000000, q 361579226274639065712157 2116893020997686914973696, q 100000000000000 64859708126791),
  (q 11001 32768, q 44007 131072, q 1 1, q 324295476048311 500000000000000, q 492878761767091 1000000000000000, q 15227824213342828842165287 89141661687567811906371584, q 500000000000000 324295476048311),
  (q 44007 131072, q 22005 65536, q 1 1, q 324292411609257 500000000000000, q 492879958665103 1000000000000000, q 723337053581849925385957 4233806606640898402942976, q 500000000000000 324292411609257),
  (q 22005 65536, q 44013 131072, q 1 1, q 324289347316803 500000000000000, q 49288115531937 100000000000000, q 5077074367060397196290143 29713325678226223707193344, q 500000000000000 324289347316803),
  (q 44013 131072, q 2751 8192, q 1 1, q 324286283170961 500000000000000, q 492882351729949 1000000000000000, q 14875901102963284671965 87049936297542041993216, q 500000000000000 324286283170961),
  (q 2751 8192, q 44019 131072, q 1 1, q 162141609585871 250000000000000, q 246441773948449 500000000000000, q 411746553529303075328347 2409143041702455519739904, q 250000000000000 162141609585871),
  (q 44019 131072, q 22011 65536, q 1 1, q 324280155319157 500000000000000, q 246442371910137 500000000000000, q 1904540294329506211529985 11142181294700638058315776, q 500000000000000 324280155319157),
  (q 22011 65536, q 44025 131072, q 1 1, q 162138545806609 250000000000000, q 61610742437517 125000000000000, q 183818078151715433947303 1075265519142257121296384, q 250000000000000 162138545806609),
  (q 44025 131072, q 11007 32768, q 1 1, q 64854805610787 100000000000000, q 492887134936541 1000000000000000, q 119060331808340309245841 696373172716918674554880, q 100000000000000 64854805610787),
  (q 11007 32768, q 44031 131072, q 1 1, q 8106774116033 12500000000000, q 246444165064773 500000000000000, q 15241422714258088807572243 89134924043317873297326080, q 12500000000000 8106774116033),
  (q 44031 131072, q 22017 65536, q 1 1, q 40533487671923 62500000000000, q 492889525079209 1000000000000000, q 1905390384996547482995389 11141760252398621595533312, q 62500000000000 40533487671923),
  (q 22017 65536, q 44037 131072, q 1 1, q 648529676512277 1000000000000000, q 123222679946397 250000000000000, q 235067478339632814625771 1374389534720000000000000, q 1000000000000000 648529676512277),
  (q 44037 131072, q 5505 16384, q 1 1, q 162130887641797 250000000000000, q 24644595712437 50000000000000, q 45917172188115156820447 268435456000000000000000, q 250000000000000 162130887641797),
  (q 5505 16384, q 44043 131072, q 1 1, q 162129356228881 250000000000000, q 246446554234361 500000000000000, q 11589118022267012479926331 67742713001502132125302784, q 250000000000000 162129356228881),
  (q 44043 131072, q 22023 65536, q 1 1, q 648511299557307 1000000000000000, q 492894302445593 1000000000000000, q 953120360760988597618267 5570669645370185685663744, q 1000000000000000 648511299557307),
  (q 22023 65536, q 44049 131072, q 1 1, q 8106314681157 12500000000000, q 49289549617941 100000000000000, q 1016775116839360533586707 5941991500228946336677888, q 12500000000000 8106314681157),
  (q 44049 131072, q 11013 32768, q 1 1, q 129699809944261 200000000000000, q 492896689670229 1000000000000000, q 241529356965682235172487 1411316774960196386553856, q 200000000000000 129699809944261),
  (q 11013 32768, q 44055 131072, q 1 1, q 648492925243563 1000000000000000, q 49289788291811 100000000000000, q 15255029082294081046016785 89128188979471229424500736, q 1000000000000000 648492925243563),
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  (q 22179 65536, q 44361 131072, q 1 1, q 647869774304779 1000000000000000, q 493018328434699 1000000000000000, q 186056887020184872279601 1073741824000000000000000, q 1000000000000000 647869774304779),
  (q 44361 131072, q 11091 32768, q 1 1, q 80982960021833 125000000000000, q 123254874241199 250000000000000, q 186079305098350330689649 1073741824000000000000000, q 125000000000000 80982960021833),
  (q 11091 32768, q 44367 131072, q 1 1, q 161964396585069 250000000000000, q 493020665257847 1000000000000000, q 11744255522121474125931479 67760244273107720715894784, q 250000000000000 161964396585069),
  (q 44367 131072, q 22185 65536, q 1 1, q 323925746400819 500000000000000, q 49302183331391 100000000000000, q 186124146733983235043673 1073741824000000000000000, q 500000000000000 323925746400819),
  (q 22185 65536, q 44373 131072, q 1 1, q 647845399558767 1000000000000000, q 493023001133039 1000000000000000, q 186146570291611443804693 1073741824000000000000000, q 1000000000000000 647845399558767),
  (q 44373 131072, q 5547 16384, q 1 1, q 129567861322337 200000000000000, q 49302416871529 100000000000000, q 36714325733466097816049 211752268076975688515584, q 200000000000000 129567861322337),
  (q 5547 16384, q 44379 131072, q 1 1, q 647833213960413 1000000000000000, q 6162816700759 12500000000000, q 587501368578780434571643 3388044311168322992340992, q 1000000000000000 647833213960413),
  (q 44379 131072, q 22191 65536, q 1 1, q 64782712160497 100000000000000, q 61628312896173 125000000000000, q 20401858723586781284811 117640705954096923803648, q 100000000000000 64782712160497),
  (q 22191 65536, q 44385 131072, q 1 1, q 20244407173293 31250000000000, q 246513835020669 500000000000000, q 3917637998115155554537199 22587069001073340566208512, q 31250000000000 20244407173293),
  (q 44385 131072, q 11097 32768, q 1 1, q 647814937781653 1000000000000000, q 246514418338319 500000000000000, q 745034861924349440498713 4294967296000000000000000, q 1000000000000000 647814937781653),
  (q 11097 32768, q 88779 262144, q 1 1, q 161952973002687 250000000000000, q 12325735497639 25000000000000, q 41187968821027585505159661 237425569292462621055778816, q 250000000000000 161952973002687),
  (q 88779 262144, q 44391 131072, q 1 1, q 647808846313819 1000000000000000, q 493030003075339 1000000000000000, q 15446345839537911292806113 89034169887274968251629568, q 1000000000000000 647808846313819),
  (q 44391 131072, q 88785 262144, q 1 1, q 161951450172717 250000000000000, q 246515293092991 500000000000000, q 94052183418444324008218789 542092862360704528293036032, q 250000000000000 161951450172717),
  (q 88785 262144, q 22197 65536, q 1 1, q 80975344392737 125000000000000, q 493031169237497 1000000000000000, q 1931007624440640547876337 11129166590372556637732864, q 125000000000000 80975344392737),
  (q 22197 65536, q 88791 262144, q 1 1, q 161949927416727 250000000000000, q 49303175222989 100000000000000, q 95393180264343225311913939 549755813888000000000000000, q 250000000000000 161949927416727),
  (q 88791 262144, q 44397 131072, q 1 1, q 40487291516619 62500000000000, q 15407260473849 31250000000000, q 3919562878726051407162187 22587282724227385426706432, q 62500000000000 40487291516619),
  (q 44397 131072, q 88797 262144, q 1 1, q 80974202367361 125000000000000, q 493032918037339 1000000000000000, q 123605071689770614379658337 712256616422402606747353088, q 125000000000000 80974202367361),
  (q 88797 262144, q 2775 8192, q 1 1, q 647790573685863 1000000000000000, q 61629187606551 125000000000000, q 15312672640053306333869 88231781749728353452032, q 1000000000000000 647790573685863),
  (q 2775 8192, q 88803 262144, q 1 1, q 64778752850683 100000000000000, q 7703657556381 15625000000000, q 19083231764944203436370047 109951162777600000000000000, q 100000000000000 64778752850683),
  (q 88803 262144, q 44403 131072, q 1 1, q 10121632553153 15625000000000, q 493034666305273 1000000000000000, q 15453207204992257161293807 89030821474142446969421824, q 15625000000000 10121632553153),
  (q 44403 131072, q 88809 262144, q 1 1, q 10121584974543 15625000000000, q 246517624471541 500000000000000, q 302280000287793596993005 1741425974929350016892928, q 15625000000000 10121584974543),
  (q 88809 262144, q 22203 65536, q 1 1, q 647778393413713 1000000000000000, q 493035831521817 1000000000000000, q 980251736622693945344957 5646860725712986467991552, q 1000000000000000 647778393413713),
  (q 22203 65536, q 88815 262144, q 1 1, q 161943837132669 250000000000000, q 493036414041487 1000000000000000, q 94109943801541334527189739 542099270155597274165542912, q 250000000000000 161943837132669),
  (q 88815 262144, q 44409 131072, q 1 1, q 129554460744329 200000000000000, q 246518498251049 500000000000000, q 1193061091102241982052933 6871947673600000000000000, q 200000000000000 129554460744329),
  (q 44409 131072, q 88821 262144, q 1 1, q 647769258986621 1000000000000000, q 61629697362957 125000000000000, q 1364079690890304425524087 7856529723697055739674624, q 1000000000000000 647769258986621),
  (q 88821 262144, q 11103 32768, q 1 1, q 80970776790701 125000000000000, q 49303816124617 100000000000000, q 7457529711802204194037 42949672960000000000000, q 125000000000000 80970776790701),
  (q 11103 32768, q 88827 262144, q 1 1, q 40485198108663 62500000000000, q 98607748705929 200000000000000, q 31377684824169188998508461 180700610484971253887139840, q 62500000000000 40485198108663),
  (q 88827 262144, q 44415 131072, q 1 1, q 323880062612811 500000000000000, q 493039325754089 1000000000000000, q 15460070547997081569547807 89027473711901155560259584, q 500000000000000 323880062612811),
  (q 44415 131072, q 88833 262144, q 1 1, q 129551416157331 200000000000000, q 493039907919509 1000000000000000, q 17669632691355995438473583 101745206042737853375447040, q 200000000000000 129551416157331),
  (q 88833 262144, q 22209 65536, q 1 1, q 647754036421709 1000000000000000, q 493040490025911 1000000000000000, q 980733228335296375767501 5646914080706938500284416, q 1000000000000000 647754036421709),
  (q 22209 65536, q 88839 262144, q 1 1, q 129550198426157 200000000000000, q 493041072073303 1000000000000000, q 94156168868387103007360781 542104391715741516722864128, q 200000000000000 129550198426157),
  (q 88839 262144, q 44421 131072, q 1 1, q 323873973956943 500000000000000, q 123260413515423 250000000000000, q 5154500987063139862339175 29675266691640019138904064, q 500000000000000 323873973956943),
  (q 44421 131072, q 88845 262144, q 1 1, q 80968112971377 125000000000000, q 123260558997771 250000000000000, q 95496613260710585511183777 549755813888000000000000000, q 125000000000000 80968112971377),
  (q 88845 262144, q 5553 16384, q 1 1, q 20241933115693 31250000000000, q 246521408930743 500000000000000, q 22991578884270198646417 132350173640172939247616, q 31250000000000 20241933115693),
  (q 5553 16384, q 88851 262144, q 1 1, q 80967351963421 125000000000000, q 246521699836453 500000000000000, q 94179286989511745172301855 542106950938569822024237056, q 125000000000000 80967351963421),
  (q 88851 262144, q 44427 131072, q 1 1, q 161933942946649 250000000000000, q 493043981425351 1000000000000000, q 15466935868899560190448415 89024126600727977957261312, q 250000000000000 161933942946649),
  (q 44427 131072, q 88857 262144, q 1 1, q 647732727939863 1000000000000000, q 246522281559413 500000000000000, q 94190847447144708980336195 542108230160887150570110976, q 1000000000000000 647732727939863),
  (q 88857 262144, q 22215 65536, q 1 1, q 647729684167169 1000000000000000, q 24652257237667 50000000000000, q 588728925157793450046619 3388180435467490058829824, q 1000000000000000 647729684167169),
  (q 22215 65536, q 88863 262144, q 1 1, q 323863320234259 500000000000000, q 4930457263289 10000000000000, q 123756086993884665440550635 712182972815420141462355968, q 500000000000000 323863320234259),
  (q 88863 262144, q 44433 131072, q 1 1, q 647723596843913 1000000000000000, q 493046307845511 1000000000000000, q 15470369271170906020059855 89022453289347044853415936, q 1000000000000000 647723596843913),
  (q 44433 131072, q 88869 262144, q 1 1, q 161930138323339 250000000000000, q 493046889303181 1000000000000000, q 94213971156759126536447825 542110787827633823684755456, q 250000000000000 161930138323339),
  (q 88869 262144, q 11109 32768, q 1 1, q 647717509816849 1000000000000000, q 246523735350959 500000000000000, q 483502692430643458881115 2781925521709925404770304, q 1000000000000000 647717509816849),
  (q 11109 32768, q 88875 262144, q 1 1, q 129542893282879 200000000000000, q 493048052041727 1000000000000000, q 123783557179650453680032643 712169587301354728608235520, q 200000000000000 129542893282879),
  (q 88875 262144, q 44439 131072, q 1 1, q 647711423085997 1000000000000000, q 61631079165327 125000000000000, q 490788106167647159039641 2823503673944175382888448, q 1000000000000000 647711423085997),
  (q 44439 131072, q 88881 262144, q 1 1, q 80963547478957 125000000000000, q 493049214544593 1000000000000000, q 95565610706317320674520493 549755813888000000000000000, q 125000000000000 80963547478957),
  (q 88881 262144, q 22221 65536, q 1 1, q 40481583540711 62500000000000, q 493049795707663 1000000000000000, q 59732101259128310413233 343597383680000000000000, q 62500000000000 40481583540711),
  (q 22221 65536, q 88887 262144, q 1 1, q 323851146772579 500000000000000, q 493050376811833 1000000000000000, q 94248663707674254972764039 542114622383948667088273408, q 500000000000000 323851146772579),
  (q 88887 262144, q 44445 131072, q 1 1, q 323849625256503 500000000000000, q 61631369732139 125000000000000, q 11947858166666186184271839 68719476736000000000000000, q 500000000000000 323849625256503),
  (q 44445 131072, q 88893 262144, q 1 1, q 323848103777461 500000000000000, q 98610307768701 200000000000000, q 2094671772323188119754697 12047020001139641668337664, q 500000000000000 323848103777461),
  (q 88893 262144, q 1389 4096, q 1 1, q 161923291167727 250000000000000, q 24652605988551 50000000000000, q 2917308642220634155663 16777216000000000000000, q 250000000000000 161923291167727),
  (q 1389 4096, q 88899 262144, q 1 1, q 323845060930483 500000000000000, q 493052700639663 1000000000000000, q 7284618201342377875498119 41890754128340384059752448, q 500000000000000 323845060930483),
  (q 88899 262144, q 44451 131072, q 1 1, q 647687079125101 1000000000000000, q 493053281449441 1000000000000000, q 2946174392867771546900149 16941181752086660579852288, q 1000000000000000 647687079125101),
  (q 44451 131072, q 88905 262144, q 1 1, q 40480252278957 62500000000000, q 246526931100181 500000000000000, q 94283364643376849991920869 542118454609163619676454912, q 62500000000000 40480252278957),
  (q 88905 262144, q 22227 65536, q 1 1, q 161920248468901 250000000000000, q 493054442892433 1000000000000000, q 1935298759302067795353283 11127074747745981888987136, q 250000000000000 161920248468901),
  (q 22227 65536, q 88911 262144, q 1 1, q 32383897568099 50000000000000, q 493055023525659 1000000000000000, q 3492404943904594884368129 20078508574067825984929792, q 50000000000000 32383897568099),
  (q 88911 262144, q 44457 131072, q 1 1, q 16191872723061 25000000000000, q 493055604100049 1000000000000000, q 3825155518838330162073 21990232555520000000000, q 25000000000000 16191872723061),
  (q 44457 131072, q 88917 262144, q 1 1, q 647671866556987 1000000000000000, q 61632023076951 125000000000000, q 31435501086426709685199941 180707002710577040311975936, q 1000000000000000 647671866556987),
  (q 88917 262144, q 11115 32768, q 1 1, q 41450804753 64000000000, q 98611353014469 200000000000000, q 96786410642189151575091 556343283771926118400000, q 64000000000 41450804753),
  (q 11115 32768, q 88923 262144, q 1 1, q 161916445512089 250000000000000, q 246528672735133 500000000000000, q 95646150322563831985479247 549755813888000000000000000, q 250000000000000 161916445512089),
  (q 88923 262144, q 44463 131072, q 1 1, q 323831369952591 500000000000000, q 493057925809377 1000000000000000, q 3930160819470699098369419 22588455108105264481435648, q 500000000000000 323831369952591),
  (q 44463 131072, q 88929 262144, q 1 1, q 129531939567221 200000000000000, q 493058506089687 1000000000000000, q 123907221989684691339109713 712109368612688113413652480, q 200000000000000 129531939567221),
  (q 88929 262144, q 22233 65536, q 1 1, q 80957081980141 125000000000000, q 493059086311201 1000000000000000, q 1936157728235479132664605 11126656623497488526999552, q 125000000000000 80957081980141),
  (q 22233 65536, q 88935 262144, q 1 1, q 323826806960127 500000000000000, q 246529833236963 500000000000000, q 94341218172116737049897927 542124836475438030521368576, q 500000000000000 323826806960127),
  (q 88935 262144, q 44469 131072, q 1 1, q 323825286036743 500000000000000, q 493060246577871 1000000000000000, q 11959365698866741110178759 68719476736000000000000000, q 500000000000000 323825286036743),
  (q 44469 131072, q 88941 262144, q 1 1, q 80955941287603 125000000000000, q 1540815083197 3125000000000, q 4102295290157534352003143 23570700524907775110676480, q 125000000000000 80955941287603),
  (q 88941 262144, q 5559 16384, q 1 1, q 20238890268821 31250000000000, q 246530703304721 500000000000000, q 23036762395966809204815 132355163519206977175552, q 31250000000000 20238890268821),
  (q 5559 16384, q 88947 262144, q 1 1, q 647641446977833 1000000000000000, q 123265496634271 250000000000000, q 123948461405433450480259507 712089301581801157619089408, q 1000000000000000 647641446977833),
  (q 88947 262144, q 44475 131072, q 1 1, q 647638405427509 1000000000000000, q 123265641601493 250000000000000, q 2990560938128909279877829 17179869184000000000000000, q 1000000000000000 647638405427509),
  (q 44475 131072, q 88953 262144, q 1 1, q 323817681975651 500000000000000, q 30816446638507 62500000000000, q 94375941472726649500229729 542128662492433200197926912, q 500000000000000 323817681975651),
  (q 88953 262144, q 22239 65536, q 1 1, q 129526464509843 200000000000000, q 246531862983757 500000000000000, q 968508472295254370909977 5563119290362803550945280, q 200000000000000 129526464509843),
  (q 22239 65536, q 88959 262144, q 1 1, q 518103424977 800000000000, q 493064305660181 1000000000000000, q 94387517770406415544385527 542129937314668821616787456, q 800000000000 518103424977),
  (q 88959 262144, q 44481 131072, q 1 1, q 64762623996741 100000000000000, q 493064885294123 1000000000000000, q 11799163283599558448370047 67766321828615988032045056, q 100000000000000 64762623996741),
  (q 44481 131072, q 88965 262144, q 1 1, q 647623198787697 1000000000000000, q 246532732434673 500000000000000, q 123989709729336637675912829 712069237484560758312271872, q 1000000000000000 647623198787697),
  (q 88965 262144, q 11121 32768, q 1 1, q 323810078841057 500000000000000, q 493066044385857 1000000000000000, q 40363471782597660156389 231792283122920232845312, q 500000000000000 323810078841057),
  (q 11121 32768, q 88971 262144, q 1 1, q 647617116650663 1000000000000000, q 246533311921831 500000000000000, q 124003461150430060309933139 712062550104170148279615488, q 1000000000000000 647617116650663),
  (q 88971 262144, q 44487 131072, q 1 1, q 647614075693347 1000000000000000, q 30816700202673 62500000000000, q 655669879116750398253303 3764813355836219926249472, q 1000000000000000 647614075693347),
  (q 44487 131072, q 88977 262144, q 1 1, q 647611034810167 1000000000000000, q 493067782583183 1000000000000000, q 94422252256455685524912043 542133760231938402453291008, q 1000000000000000 647611034810167),
  (q 88977 262144, q 22245 65536, q 1 1, q 80950999250141 125000000000000, q 246534180932457 500000000000000, q 1496180116954491687363149 8589934592000000000000000, q 125000000000000 80950999250141)
]

/-- Cells `(a, b, w₀, w₁, w₂, λ, c)`, sorted by `a`: chunk 1. -/
def cells1 : List (ℚ × ℚ × ℚ × ℚ × ℚ × ℚ × ℚ) := [
  (q 22245 65536, q 88983 262144, q 1 1, q 64760495326623 100000000000000, q 493068941087967 1000000000000000, q 19152257303933364053784987 109951162777600000000000000, q 100000000000000 64760495326623),
  (q 88983 262144, q 44493 131072, q 1 1, q 161900478151369 250000000000000, q 493069520252349 1000000000000000, q 15504730504296317877922521 89005729134962226256412672, q 250000000000000 161900478151369),
  (q 44493 131072, q 88989 262144, q 1 1, q 64759887201887 100000000000000, q 493070099358067 1000000000000000, q 8585946658340443971889159 49285118868442027258806272, q 100000000000000 64759887201887),
  (q 88989 262144, q 2781 8192, q 1 1, q 161898957876603 250000000000000, q 61633834800641 125000000000000, q 11529687996920373209239 66178826198954943709184, q 250000000000000 161898957876603),
  (q 2781 8192, q 88995 262144, q 1 1, q 647592791068107 1000000000000000, q 493071257393539 1000000000000000, q 94456995132890747338560773 542137580826329140915339264, q 1000000000000000 647592791068107),
  (q 88995 262144, q 44499 131072, q 1 1, q 129517950140791 200000000000000, q 493071836323307 1000000000000000, q 5903924151756695115237709 33883638585396295161085952, q 200000000000000 129517950140791),
  (q 44499 131072, q 89001 262144, q 1 1, q 647586710413961 1000000000000000, q 493072415194439 1000000000000000, q 94468577956426104856599319 542138853841881340433137664, q 1000000000000000 647586710413961),
  (q 89001 262144, q 22251 65536, q 1 1, q 1036133872317 1600000000000, q 493072994006941 1000000000000000, q 2952324053682899249201971 16941859070404924736012288, q 1600000000000 1036133872317),
  (q 22251 65536, q 89007 262144, q 1 1, q 647580630056451 1000000000000000, q 493073572760821 1000000000000000, q 94480161712392388699368713 542140126599578272028164096, q 1000000000000000 647580630056451),
  (q 89007 262144, q 44505 131072, q 1 1, q 647577589988941 1000000000000000, q 246537075728043 500000000000000, q 15511608689994674624559663 89002386259999955093553152, q 1000000000000000 647577589988941),
  (q 44505 131072, q 89013 262144, q 1 1, q 323787274997799 500000000000000, q 493074730092741 1000000000000000, q 31497248800277042467027959 180713799699827169450524672, q 500000000000000 323787274997799),
  (q 89013 262144, q 11127 32768, q 1 1, q 647571510076423 1000000000000000, q 98615061734159 200000000000000, q 738262024177660833387811 4235484650412339510640640, q 1000000000000000 647571510076423),
  (q 11127 32768, q 89019 262144, q 1 1, q 32378423511571 50000000000000, q 246537943595127 500000000000000, q 172137216797420262149747 987509419565849767837696, q 50000000000000 32378423511571),
  (q 89019 262144, q 44511 131072, q 1 1, q 64756543046059 100000000000000, q 3944611725209 8000000000000, q 2362728129549141667216781 13553582684152635011891200, q 100000000000000 64756543046059),
  (q 44511 131072, q 89025 262144, q 1 1, q 647562390763937 1000000000000000, q 98615408810683 200000000000000, q 18902983715058332023029251 108428788665229757548331008, q 1000000000000000 647562390763937),
  (q 89025 262144, q 22257 65536, q 1 1, q 323779675570731 500000000000000, q 493077622397131 1000000000000000, q 1939596078619147820268211 11124984941486238238507008, q 500000000000000 323779675570731),
  (q 22257 65536, q 89031 262144, q 1 1, q 40472269474573 62500000000000, q 12326955017057 25000000000000, q 124141029816788167436362091 711995694236426807560634368, q 62500000000000 40472269474573),
  (q 89031 262144, q 44517 131072, q 1 1, q 323776636059529 500000000000000, q 123269694727217 250000000000000, q 15518488856193933874004605 88999044037412567306469376, q 500000000000000 323776636059529),
  (q 44517 131072, q 89037 262144, q 1 1, q 323775116359567 500000000000000, q 246539678538451 500000000000000, q 94538094480139411930057453 542146486522368063231229952, q 500000000000000 323775116359567),
  (q 89037 262144, q 5565 16384, q 1 1, q 647547193393399 1000000000000000, q 49307993518639 100000000000000, q 36931206655962211600907 211776219593934471430144, q 1000000000000000 647547193393399),
  (q 5565 16384, q 89043 262144, q 1 1, q 323772077070927 500000000000000, q 493080513237339 1000000000000000, q 13796506159277674391290319 79109147441926993772281856, q 500000000000000 323772077070927),
  (q 89043 262144, q 44523 131072, q 1 1, q 323770557482251 500000000000000, q 246540545614877 500000000000000, q 11819434857130177958905885 67768549155449147268005888, q 500000000000000 323770557482251),
  (q 44523 131072, q 89049 262144, q 1 1, q 647538075861347 1000000000000000, q 123270417290911 250000000000000, q 3835521781862192279643091 21990232555520000000000000, q 1000000000000000 647538075861347),
  (q 89049 262144, q 22263 65536, q 1 1, q 647535036832389 1000000000000000, q 98616449407803 200000000000000, q 40426172606135083489859 231761817184105515712512, q 1000000000000000 647535036832389),
  (q 22263 65536, q 89055 262144, q 1 1, q 5058843733419 7812500000000, q 493082824855873 1000000000000000, q 95899573626658221408679059 549755813888000000000000000, q 7812500000000 5058843733419),
  (q 89055 262144, q 44529 131072, q 1 1, q 323764479498539 500000000000000, q 246541701307113 500000000000000, q 1313592517928681979315931 7529874092190227819921408, q 500000000000000 323764479498539),
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  (q 22449 65536, q 359187 1048576, q 1 1, q 646782899548131 1000000000000000, q 493223911757443 1000000000000000, q 6144833812699354137054024359 34707547268766229620066353152, q 1000000000000000 646782899548131),
  (q 359187 1048576, q 179595 524288, q 1 1, q 323391072212807 500000000000000, q 246612026319129 500000000000000, q 778668365680225675868671759 4398046511104000000000000000, q 500000000000000 323391072212807),
  (q 179595 524288, q 359193 1048576, q 1 1, q 64678138930777 100000000000000, q 493224193515521 1000000000000000, q 8058171835679559529403672981 45513194123072573090855649280, q 100000000000000 64678138930777),
  (q 359193 1048576, q 89799 262144, q 1 1, q 3233903170973 5000000000000, q 30826520899327 62500000000000, q 96017418633618360601777019 542305890763038611086508032, q 5000000000000 3233903170973),
  (q 89799 262144, q 359199 1048576, q 1 1, q 646779879086103 1000000000000000, q 963329053241 1953125000000, q 6229626430385850329818320651 35184372088832000000000000000, q 1000000000000000 646779879086103),
  (q 359199 1048576, q 179601 524288, q 1 1, q 646779123982279 1000000000000000, q 246612308063 500000000000, q 778714950073183154332068889 4398046511104000000000000000, q 1000000000000000 646779123982279),
  (q 179601 524288, q 359205 1048576, q 1 1, q 80847296110391 125000000000000, q 3853318413977 7812500000000, q 6145395780845287020010273913 34707606746653375691367645184, q 125000000000000 80847296110391),
  (q 359205 1048576, q 44901 131072, q 1 1, q 646777613788651 1000000000000000, q 246612448924281 500000000000000, q 15739701954947436083313375 88892438368229590430646272, q 1000000000000000 646777613788651),
  (q 44901 131072, q 359211 1048576, q 1 1, q 20211776834339 31250000000000, q 123306259676129 250000000000000, q 6145583111064218758673095159 34707626570616511324303130624, q 31250000000000 20211776834339),
  (q 359211 1048576, q 179607 524288, q 1 1, q 323388051806859 500000000000000, q 493225179556919 1000000000000000, q 768209597197579467903120563 4338454560277903105067057152, q 500000000000000 323388051806859),
  (q 179607 524288, q 359217 1048576, q 1 1, q 646775348533261 1000000000000000, q 123306330101443 250000000000000, q 8059060752036830302968714157 45512769041356514315997282304, q 1000000000000000 646775348533261),
  (q 359217 1048576, q 89805 262144, q 1 1, q 323387296728739 500000000000000, q 493225461251073 1000000000000000, q 32009708924101032402479167 180769043253578562552201216, q 500000000000000 323387296728739),
  (q 89805 262144, q 359223 1048576, q 1 1, q 10105841224787 15625000000000, q 61653200261603 125000000000000, q 8059282991085922398209813563 45512662774216130104867684352, q 15625000000000 10105841224787),
  (q 359223 1048576, q 179613 524288, q 1 1, q 646773083319933 1000000000000000, q 30826608933189 62500000000000, q 31152324980559727201021533 175921860444160000000000000, q 1000000000000000 646773083319933),
  (q 179613 524288, q 359229 1048576, q 1 1, q 64677232825817 100000000000000, q 493225883765673 1000000000000000, q 8059505234119014329558056833 45512556508391289566139514880, q 100000000000000 64677232825817),
  (q 359229 1048576, q 5613 16384, q 1 1, q 323385786600541 500000000000000, q 123306506149193 250000000000000, q 93784161321667294654441 529597411294806831792128, q 500000000000000 323385786600541),
  (q 5613 16384, q 359235 1048576, q 1 1, q 646770818148667 1000000000000000, q 493226165424321 1000000000000000, q 6230744534985759746630269751 35184372088832000000000000000, q 1000000000000000 646770818148667),
  (q 359235 1048576, q 179619 524288, q 1 1, q 323385031550463 500000000000000, q 493226306248319 1000000000000000, q 768303267934937077335328247 4338464470760264826829668352, q 500000000000000 323385031550463),
  (q 179619 524288, q 359241 1048576, q 1 1, q 323384654028929 500000000000000, q 493226447068767 1000000000000000, q 2048839939479290313435351239 11569241891813399636891140096, q 500000000000000 323384654028929),
  (q 359241 1048576, q 89811 262144, q 1 1, q 129353710603893 200000000000000, q 246613293942833 500000000000000, q 19471950257319890036996349 109951162777600000000000000, q 200000000000000 129353710603893),
  (q 89811 262144, q 359247 1048576, q 1 1, q 129353559597149 200000000000000, q 246613364349507 500000000000000, q 1246223453335930785519548527 7036874417766400000000000000, q 200000000000000 129353559597149),
  (q 359247 1048576, q 179625 524288, q 1 1, q 646767042956699 1000000000000000, q 123306717377203 250000000000000, q 768350106117643546874474257 4338469425251956989567696896, q 1000000000000000 646767042956699),
  (q 179625 524288, q 359253 1048576, q 1 1, q 646766287932327 1000000000000000, q 493227010315061 1000000000000000, q 558808593422876450296838051 3155251391852233673999908864, q 1000000000000000 646766287932327),
  (q 359253 1048576, q 44907 131072, q 1 1, q 646765532912629 1000000000000000, q 1541334847243 3125000000000, q 3001459085595788841805361 16947155868400232358215680, q 1000000000000000 646765532912629),
  (q 44907 131072, q 359259 1048576, q 1 1, q 129352955579521 200000000000000, q 49322729191691 100000000000000, q 1612123301809189603096243435 9102405039800048391704018944, q 200000000000000 129352955579521),
  (q 359259 1048576, q 179631 524288, q 1 1, q 129352804577451 200000000000000, q 49322743271251 100000000000000, q 153679389235284800753652947 867694875848815009821884416, q 200000000000000 129352804577451),
  (q 179631 524288, q 359265 1048576, q 1 1, q 646763267881579 1000000000000000, q 493227573504561 1000000000000000, q 683029916874898221040564637 3856422771256935495610925056, q 1000000000000000 646763267881579),
  (q 359265 1048576, q 89817 262144, q 1 1, q 646762512880577 1000000000000000, q 493227714293063 1000000000000000, q 125952342358547417795152121 711122903321819383964106752, q 1000000000000000 646762512880577),
  (q 89817 262144, q 359271 1048576, q 1 1, q 646761757884249 1000000000000000, q 3853342617797 7812500000000, q 8061061046906216952916733467 45511812684452980466003214336, q 1000000000000000 646761757884249),
  (q 359271 1048576, q 179637 524288, q 1 1, q 161690250723149 250000000000000, q 493227995859419 1000000000000000, q 768443788111319782507764857 4338479332736671782012977152, q 250000000000000 161690250723149),
  (q 179637 524288, q 359277 1048576, q 1 1, q 40422515494101 62500000000000, q 246614068318637 500000000000000, q 424278069569097162528133291 2395352969955412692116176896, q 62500000000000 40422515494101),
  (q 359277 1048576, q 22455 65536, q 1 1, q 646759492923311 1000000000000000, q 24661413870579 50000000000000, q 66707223071382266519241 376604323723582512300032, q 1000000000000000 646759492923311),
  (q 22455 65536, q 359283 1048576, q 1 1, q 8084484224321 12500000000000, q 246614209091169 500000000000000, q 8061505600703864325177211503 45511600175168386244301291520, q 12500000000000 8084484224321),
  (q 359283 1048576, q 179643 524288, q 1 1, q 646757982972723 1000000000000000, q 246614279474773 500000000000000, q 768490631922371969096286803 4338484285729808760929517568, q 1000000000000000 646757982972723),
  (q 179643 524288, q 359289 1048576, q 1 1, q 646757228004441 1000000000000000, q 493228699713207 1000000000000000, q 6232421946372090758226820317 35184372088832000000000000000, q 1000000000000000 646757228004441),
  (q 359289 1048576, q 89823 262144, q 1 1, q 646756473040833 1000000000000000, q 246614420236659 500000000000000, q 32021418938811249210426247 180770281751628968158560256, q 1000000000000000 646756473040833),
  (q 89823 262144, q 359295 1048576, q 1 1, q 646755718081899 1000000000000000, q 246614490614941 500000000000000, q 6148206128095312253223963211 34707904001175405329433755648, q 1000000000000000 646755718081899),
  (q 359295 1048576, q 179649 524288, q 1 1, q 16168874078191 25000000000000, q 246614560991449 500000000000000, q 155817538615708706323159817 879609302220800000000000000, q 25000000000000 16168874078191),
  (q 179649 524288, q 359301 1048576, q 1 1, q 129350841635611 200000000000000, q 98645852546473 200000000000000, q 1229678702919353497310770781 6941584762030323386728579072, q 200000000000000 129350841635611),
  (q 359301 1048576, q 44913 131072, q 1 1, q 129350690646629 200000000000000, q 98645880695657 200000000000000, q 1217360927378719883411647 6871947673600000000000000, q 200000000000000 129350690646629),
  (q 44913 131072, q 359307 1048576, q 1 1, q 646752698292909 1000000000000000, q 30826846513791 62500000000000, q 683175656094524729422014087 3856438179792128368942514176, q 1000000000000000 646752698292909),
  (q 359307 1048576, q 179655 524288, q 1 1, q 161687985839337 250000000000000, q 12330742123987 25000000000000, q 21959552147803218020271497 123956976863369490149146624, q 250000000000000 161687985839337),
  (q 179655 524288, q 359313 1048576, q 1 1, q 646751188426461 1000000000000000, q 493229825694757 1000000000000000, q 6233167560574981679181627237 35184372088832000000000000000, q 1000000000000000 646751188426461),
  (q 359313 1048576, q 89829 262144, q 1 1, q 646750433500249 1000000000000000, q 98645993285297 200000000000000, q 96075968707307539550567387 542312083253486352188047360, q 1000000000000000 646750433500249),
  (q 89829 262144, q 359319 1048576, q 1 1, q 80843709822339 125000000000000, q 493230107154667 1000000000000000, q 6233353973552261503844364699 35184372088832000000000000000, q 125000000000000 80843709822339),
  (q 359319 1048576, q 179661 524288, q 1 1, q 646748923661849 1000000000000000, q 493230247879301 1000000000000000, q 779180897681863930335050069 4398046511104000000000000000, q 1000000000000000 646748923661849),
  (q 179661 524288, q 359325 1048576, q 1 1, q 646748168749661 1000000000000000, q 123307597150097 250000000000000, q 6233540390300243507089780393 35184372088832000000000000000, q 1000000000000000 646748168749661),
  (q 359325 1048576, q 11229 32768, q 1 1, q 161686853460537 250000000000000, q 493230529317927 1000000000000000, q 31276635743668108651051 176534082734105470959616, q 250000000000000 161686853460537),
  (q 11229 32768, q 359331 1048576, q 1 1, q 646746658939309 1000000000000000, q 6165383375399 12500000000000, q 8063283975275127272830362511 45510750190659144971689394176, q 1000000000000000 646746658939309),
  (q 359331 1048576, q 179667 524288, q 1 1, q 129349180808229 200000000000000, q 246615405371183 500000000000000, q 1007924391519156322079937047 5688837133677920283430748160, q 200000000000000 129349180808229),
  (q 179667 524288, q 359337 1048576, q 1 1, q 646745149147657 1000000000000000, q 98646190289853 200000000000000, q 6233913235108487562653434541 35184372088832000000000000000, q 1000000000000000 646745149147657),
  (q 359337 1048576, q 89835 262144, q 1 1, q 646744394258843 1000000000000000, q 493231092152617 1000000000000000, q 97406350760426604788663101 549755813888000000000000000, q 1000000000000000 646744394258843),
  (q 89835 262144, q 359343 1048576, q 1 1, q 40421477460919 62500000000000, q 493231232852423 1000000000000000, q 6234099663168830192454783683 35184372088832000000000000000, q 62500000000000 40421477460919),
  (q 359343 1048576, q 179673 524288, q 1 1, q 16168572112381 25000000000000, q 246615686774341 500000000000000, q 6234192878613075056716217 35184372088832000000000000, q 25000000000000 16168572112381),
  (q 179673 524288, q 359349 1048576, q 1 1, q 646742129620451 1000000000000000, q 246615757120697 500000000000000, q 6149892741701881124719580801 34708082246014492335319023616, q 1000000000000000 646742129620451),
  (q 359349 1048576, q 44919 131072, q 1 1, q 646741374750337 1000000000000000, q 493231654930561 1000000000000000, q 3044130523598504426069107 17179869184000000000000000, q 1000000000000000 646741374750337),
  (q 44919 131072, q 359355 1048576, q 1 1, q 323370309942449 500000000000000, q 493231795616181 1000000000000000, q 2050026720659108599904186621 11569367348668298927672393728, q 500000000000000 323370309942449),
  (q 359355 1048576, q 179679 524288, q 1 1, q 323369932512067 500000000000000, q 30826996018641 62500000000000, q 779320718727166127393642411 4398046511104000000000000000, q 500000000000000 323369932512067),
  (q 179679 524288, q 359361 1048576, q 1 1, q 129347822033609 200000000000000, q 30827004811049 62500000000000, q 8064395588886009370376530589 45510218993105212854375546880, q 200000000000000 129347822033609),
  (q 359361 1048576, q 89841 262144, q 1 1, q 80842294414579 125000000000000, q 246616108825883 500000000000000, q 96099395303549101876242509 542314558501859554981052416, q 125000000000000 80842294414579),
  (q 89841 262144, q 359367 1048576, q 1 1, q 646737600469893 1000000000000000, q 493232358323203 1000000000000000, q 8064617923562992876773372283 45510112757542169274275069952, q 1000000000000000 646737600469893),
  (q 359367 1048576, q 179685 524288, q 1 1, q 64673684562783 100000000000000, q 246616249495547 500000000000000, q 155873465902636752633596061 879609302220800000000000000, q 100000000000000 64673684562783),
  (q 179685 524288, q 359373 1048576, q 1 1, q 323368045395221 500000000000000, q 493232639655439 1000000000000000, q 6150642445321060678976536865 34708161439987518890359914496, q 500000000000000 323368045395221),
  (q 359373 1048576, q 22461 65536, q 1 1, q 646735335957729 1000000000000000, q 493232780316239 1000000000000000, q 984491141729788079775205 5555414234212037786861568, q 1000000000000000 646735335957729),
  (q 22461 65536, q 359379 1048576, q 1 1, q 161683645282423 250000000000000, q 246616460486747 500000000000000, q 8065062604872113852845124815 45509900290363979768673599488, q 250000000000000 161683645282423),
  (q 359379 1048576, q 179691 524288, q 1 1, q 64673382630633 100000000000000, q 493233061627203 1000000000000000, q 256288483319134290975404661 1446174630567109583498641408, q 100000000000000 64673382630633),
  (q 179691 524288, q 359385 1048576, q 1 1, q 161683267871911 250000000000000, q 493233202277367 1000000000000000, q 2050339106549489256247096327 11569400343662013022151376896, q 250000000000000 161683267871911),
  (q 359385 1048576, q 89847 262144, q 1 1, q 20210384896051 31250000000000, q 246616671461993 500000000000000, q 96111110008999670393921339 542315795751749858294235136, q 31250000000000 20210384896051)
]

/-- Cells `(a, b, w₀, w₁, w₂, λ, c)`, sorted by `a`: chunk 2. -/
def cells2 : List (ℚ × ℚ × ℚ × ℚ × ℚ × ℚ × ℚ) := [
  (q 89847 262144, q 359391 1048576, q 1 1, q 646731561864297 1000000000000000, q 493233483567061 1000000000000000, q 249423648936252421083956499 1407374883553280000000000000, q 1000000000000000 646731561864297),
  (q 359391 1048576, q 179697 524288, q 1 1, q 646730807059637 1000000000000000, q 49323362420659 100000000000000, q 768912310655729838842037361 4338528840201949179249950720, q 1000000000000000 646730807059637),
  (q 179697 524288, q 359397 1048576, q 1 1, q 161682513064913 250000000000000, q 19729350593703 40000000000000, q 8065729656724329169305451065 45509581599466721121746812928, q 250000000000000 161682513064913),
  (q 359397 1048576, q 44925 131072, q 1 1, q 646729297464343 1000000000000000, q 98646781095003 200000000000000, q 761214711647947780581127 4294967296000000000000000, q 1000000000000000 646729297464343),
  (q 44925 131072, q 359403 1048576, q 1 1, q 64672854267371 100000000000000, q 49323404610391 100000000000000, q 1230315931857555891942537019 6941652082000034751209013248, q 100000000000000 64672854267371),
  (q 359403 1048576, q 179703 524288, q 1 1, q 80840973485969 125000000000000, q 246617093364631 500000000000000, q 1247211477095301449845963 7036874417766400000000000, q 125000000000000 80840973485969),
  (q 179703 524288, q 359409 1048576, q 1 1, q 64672703310647 100000000000000, q 123308581837767 250000000000000, q 2050589037780189905312279663 11569426733669828584364048384, q 100000000000000 64672703310647),
  (q 359409 1048576, q 89853 262144, q 1 1, q 646726278329863 1000000000000000, q 493234467969331 1000000000000000, q 96122825652725440521805727 542317032752188461055737856, q 1000000000000000 646726278329863),
  (q 89853 262144, q 359415 1048576, q 1 1, q 161681380889483 250000000000000, q 9864692171681 20000000000000, q 620492057264909535079978855 3500712532339533038061879296, q 250000000000000 161681380889483),
  (q 359415 1048576, q 179709 524288, q 1 1, q 646724768790677 1000000000000000, q 61654343649403 125000000000000, q 769006037682137695048803605 4338538735706622769959534592, q 1000000000000000 646724768790677),
  (q 179709 524288, q 359421 1048576, q 1 1, q 323362007014049 500000000000000, q 98646977960571 200000000000000, q 8066619114987698718580225857 45509156696695212197200003072, q 500000000000000 323362007014049),
  (q 359421 1048576, q 351 1024, q 1 1, q 129344651854039 200000000000000, q 246617515203471 500000000000000, q 148692531849718815511 838860800000000000000, q 200000000000000 129344651854039),
  (q 351 1024, q 359427 1048576, q 1 1, q 646722504516967 1000000000000000, q 98647034201497 200000000000000, q 8066841489516998613494943695 45509050474292601521950425088, q 1000000000000000 646722504516967),
  (q 359427 1048576, q 179715 524288, q 1 1, q 20210054680263 31250000000000, q 123308827901121 250000000000000, q 256350968003433988204893813 1446181227570263427041460224, q 31250000000000 20210054680263),
  (q 179715 524288, q 359433 1048576, q 1 1, q 32336049751227 50000000000000, q 24661772609897 50000000000000, q 53500147539866079349270727 301811820478880526666563584, q 50000000000000 32336049751227),
  (q 359433 1048576, q 89859 262144, q 1 1, q 32336012014267 50000000000000, q 493235592787853 1000000000000000, q 96134542234767744466586071 542318269503232537870204928, q 50000000000000 32336012014267),
  (q 89859 262144, q 359439 1048576, q 1 1, q 20209983923463 31250000000000, q 246617866687111 500000000000000, q 6152704439904029765584237795 34708379141093117451365777408, q 31250000000000 20209983923463),
  (q 359439 1048576, q 179721 524288, q 1 1, q 646718730820969 1000000000000000, q 493235873957049 1000000000000000, q 779647033826796238530751849 4398046511104000000000000000, q 1000000000000000 646718730820969),
  (q 179721 524288, q 359445 1048576, q 1 1, q 646717976095797 1000000000000000, q 123309003634083 250000000000000, q 2689169545672630834055249459 15169577271660587024683892736, q 1000000000000000 646717976095797),
  (q 359445 1048576, q 44931 131072, q 1 1, q 323358610687651 500000000000000, q 61654519389009 125000000000000, q 4005850036569607430434119 22596620324385412851171328, q 500000000000000 323358610687651),
  (q 44931 131072, q 359451 1048576, q 1 1, q 323358233329741 500000000000000, q 49323629568427 100000000000000, q 8067731027489332355036266663 45508625597843858363198210048, q 500000000000000 323358233329741),
  (q 359451 1048576, q 179727 524288, q 1 1, q 646715711948339 1000000000000000, q 123309109063231 250000000000000, q 769146642296757198933350191 4338553575223085802236936192, q 1000000000000000 646715711948339),
  (q 179727 524288, q 359457 1048576, q 1 1, q 40419684827617 62500000000000, q 123309144204509 250000000000000, q 6153266880883209458372701933 34708438493175093050583547904, q 62500000000000 40419684827617),
  (q 359457 1048576, q 89865 262144, q 1 1, q 646714202540081 1000000000000000, q 246618358689803 500000000000000, q 126063509697962292633850249 711069785540702214192889856, q 1000000000000000 646714202540081),
  (q 89865 262144, q 359463 1048576, q 1 1, q 646713447842967 1000000000000000, q 493236857937633 1000000000000000, q 6237829016312863777447566339 35184372088832000000000000000, q 1000000000000000 646713447842967),
  (q 359463 1048576, q 179733 524288, q 1 1, q 10104885830477 15625000000000, q 493236998492117 1000000000000000, q 769193514255131226892617929 4338558520731328161393934336, q 15625000000000 10104885830477),
  (q 179733 524288, q 359469 1048576, q 1 1, q 323355969231383 500000000000000, q 24661856952153 50000000000000, q 8068398222817682244261735633 45508306954327564020952858624, q 500000000000000 323355969231383),
  (q 359469 1048576, q 22467 65536, q 1 1, q 646711183779681 1000000000000000, q 24661863979523 50000000000000, q 600950742920408758182971 3389500776014454357753856, q 1000000000000000 646711183779681),
  (q 22467 65536, q 359475 1048576, q 1 1, q 80838803637659 125000000000000, q 246618710067159 500000000000000, q 683758817293842310930432951 3856499759586977996370608128, q 125000000000000 80838803637659),
  (q 359475 1048576, q 179739 524288, q 1 1, q 646709674427539 1000000000000000, q 98647512134927 200000000000000, q 1008591479241721356052220639 5688518454626483254813786112, q 1000000000000000 646709674427539),
  (q 179739 524288, q 359481 1048576, q 1 1, q 646708919758483 1000000000000000, q 493237701211409 1000000000000000, q 6154016854739051669648114413 34708517615324712748319768576, q 1000000000000000 646708919758483),
  (q 359481 1048576, q 89871 262144, q 1 1, q 646708165094103 1000000000000000, q 246618920872321 500000000000000, q 126077410098855987523573439 711063147298647333748604928, q 1000000000000000 646708165094103),
  (q 89871 262144, q 359487 1048576, q 1 1, q 808384263043 1250000000000, q 493237982274333 1000000000000000, q 2051401452529088383697106193 11569512464456569843513032704, q 1250000000000 808384263043),
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  (q 721323 2097152, q 360663 1048576, q 1 1, q 129282388878013 200000000000000, q 246646399078223 500000000000000, q 6191027438379252399721035683 34712394718154992215490822144, q 200000000000000 129282388878013),
  (q 360663 1048576, q 721329 2097152, q 1 1, q 161602891994961 250000000000000, q 246646433864901 500000000000000, q 2358504570976165394688142953 13223771281502736061346873344, q 250000000000000 161602891994961),
  (q 721329 2097152, q 180333 524288, q 1 1, q 129282238314159 200000000000000, q 123323234325571 250000000000000, q 1014105909946162676462719433 5685892971653028646339215360, q 200000000000000 129282238314159),
  (q 180333 524288, q 721335 2097152, q 1 1, q 646410815162919 1000000000000000, q 493293006873889 1000000000000000, q 49529348963073258818385654571 277699275242714752789268922368, q 1000000000000000 646410815162919),
  (q 721335 2097152, q 360669 1048576, q 1 1, q 129282087751243 200000000000000, q 24664653822231 50000000000000, q 1255078568332138945657421861 7036874417766400000000000000, q 200000000000000 129282087751243),
  (q 360669 1048576, q 721341 2097152, q 1 1, q 646410062350683 1000000000000000, q 19731725840579 40000000000000, q 49530101943170903200509181841 277699353571901160503325491200, q 1000000000000000 646410062350683),
  (q 721341 2097152, q 11271 32768, q 1 1, q 161602421486581 250000000000000, q 15415412986983 31250000000000, q 11969540546968739580829 67108864000000000000000, q 250000000000000 161602421486581),
  (q 11271 32768, q 721347 2097152, q 1 1, q 646409309543137 1000000000000000, q 12332332128789 25000000000000, q 5503428325643607463978723063 30855492433235186714494894080, q 1000000000000000 646409309543137),
  (q 721347 2097152, q 360675 1048576, q 1 1, q 323204466570561 500000000000000, q 49329335471879 100000000000000, q 1238280785685617948437033859 6942486776549639214503821312, q 500000000000000 323204466570561),
  (q 360675 1048576, q 721353 2097152, q 1 1, q 16160213918507 25000000000000, q 98658684857029 200000000000000, q 12981180618342646108816557761 72779133381615628212840169472, q 25000000000000 16160213918507),
  (q 721353 2097152, q 180339 524288, q 1 1, q 64640818034061 100000000000000, q 963463855177 1953125000000, q 773937256661440916598100919 4339055459160078723466657792, q 100000000000000 64640818034061),
  (q 180339 524288, q 721359 2097152, q 1 1, q 646407803942113 1000000000000000, q 493293563415229 1000000000000000, q 64906795925448009691749998147 363895243120385092765148512256, q 1000000000000000 646407803942113),
  (q 721359 2097152, q 360681 1048576, q 1 1, q 161601856886197 250000000000000, q 246646816489479 500000000000000, q 1159057899023415558663168435 6498125557634437787655602176, q 250000000000000 161601856886197),
  (q 360681 1048576, q 721365 2097152, q 1 1, q 161601762787159 250000000000000, q 123323425635453 250000000000000, q 50206513567444724502966385609 281474976710656000000000000000, q 250000000000000 161601762787159),
  (q 721365 2097152, q 90171 262144, q 1 1, q 129281334950731 200000000000000, q 493293772103791 1000000000000000, q 126773701544979634726535779 710731655163662612855521280, q 200000000000000 129281334950731),
  (q 90171 262144, q 721371 2097152, q 1 1, q 80800787294981 125000000000000, q 98658768332979 200000000000000, q 50207262662492445466432502983 281474976710656000000000000000, q 125000000000000 80800787294981),
  (q 721371 2097152, q 360687 1048576, q 1 1, q 161601480491803 250000000000000, q 493293911225123 1000000000000000, q 6191780433524872087217171299 34712473043399976199412252672, q 250000000000000 161601480491803),
  (q 360687 1048576, q 721377 2097152, q 1 1, q 646405545575749 1000000000000000, q 493293980784477 1000000000000000, q 64909474474586580872801558349 363893971773145670707406962688, q 1000000000000000 646405545575749),
  (q 721377 2097152, q 180345 524288, q 1 1, q 646405169185459 1000000000000000, q 123323512585739 250000000000000, q 784506036238113965908487329 4398046511104000000000000000, q 1000000000000000 646405169185459),
  (q 180345 524288, q 721383 2097152, q 1 1, q 646404792796341 1000000000000000, q 493294119900559 1000000000000000, q 49535373014526259764492164443 277699901821026785967271313408, q 1000000000000000 646404792796341),
  (q 721383 2097152, q 360693 1048576, q 1 1, q 129280883281679 200000000000000, q 61661773682161 125000000000000, q 8113851722014897600299355673 45486667013554541442661089280, q 200000000000000 129280883281679),
  (q 360693 1048576, q 721389 2097152, q 1 1, q 323202020010811 500000000000000, q 493294259013141 1000000000000000, q 16512042018272115329943920603 92566660044816114395239153664, q 500000000000000 323202020010811),
  (q 721389 2097152, q 45087 131072, q 1 1, q 646403663636021 1000000000000000, q 12332358214203 25000000000000, q 15847584632273944635382077 88841043050601428562214912, q 1000000000000000 646403663636021),
  (q 45087 131072, q 721395 2097152, q 1 1, q 646403287251593 1000000000000000, q 30830899882639 62500000000000, q 50210259118285113599091691007 281474976710656000000000000000, q 1000000000000000 646403287251593),
  (q 721395 2097152, q 360699 1048576, q 1 1, q 646402910868337 1000000000000000, q 123323616918863 250000000000000, q 6192156953669930901425145199 34712512200110825177379504128, q 1000000000000000 646402910868337),
  (q 360699 1048576, q 721401 2097152, q 1 1, q 646402534486253 1000000000000000, q 246647268613903 500000000000000, q 64913045985286278058635005365 363892276680454150105581223936, q 1000000000000000 646402534486253),
  (q 721401 2097152, q 180351 524288, q 1 1, q 323201079052671 500000000000000, q 123323651694821 250000000000000, q 774031385757190700850798059 4339065248584099164766339072, q 500000000000000 323201079052671),
  (q 180351 524288, q 721407 2097152, q 1 1, q 161600445431401 250000000000000, q 15415458635309 31250000000000, q 49538385220832228911167545011 277700215062891628769161773056, q 250000000000000 161600445431401),
  (q 721407 2097152, q 360705 1048576, q 1 1, q 323200702673519 500000000000000, q 493294745879617 1000000000000000, q 6276516495572851719283701629 35184372088832000000000000000, q 500000000000000 323200702673519),
  (q 360705 1048576, q 721413 2097152, q 1 1, q 161600257242411 250000000000000, q 493294815428471 1000000000000000, q 50212506539512626917178725529 281474976710656000000000000000, q 250000000000000 161600257242411),
  (q 721413 2097152, q 90177 262144, q 1 1, q 646400652593423 1000000000000000, q 9865897699529 20000000000000, q 98072033430337030145672299 549755813888000000000000000, q 1000000000000000 646400652593423),
  (q 90177 262144, q 721419 2097152, q 1 1, q 323200138109187 500000000000000, q 246647477261777 500000000000000, q 64915724702198753218440978647 363891005388656854210537586688, q 500000000000000 323200138109187),
  (q 721419 2097152, q 360711 1048576, q 1 1, q 323199949922249 500000000000000, q 493295024069783 1000000000000000, q 476348729912584196140333735 2670196257913935786068148224, q 500000000000000 323199949922249),
  (q 360711 1048576, q 721425 2097152, q 1 1, q 323199761735897 500000000000000, q 493295093615137 1000000000000000, q 49540644454567386783722092573 277700449973603116719741599744, q 500000000000000 323199761735897),
  (q 721425 2097152, q 180357 524288, q 1 1, q 646399147100263 1000000000000000, q 493295163159617 1000000000000000, q 784599678789272419770852757 4398046511104000000000000000, q 1000000000000000 646399147100263),
  (q 180357 524288, q 721431 2097152, q 1 1, q 40399923170619 62500000000000, q 246647616351611 500000000000000, q 64917510553420907611079028827 363890157873992791388269314048, q 62500000000000 40399923170619),
  (q 721431 2097152, q 360717 1048576, q 1 1, q 323199197180359 500000000000000, q 493295302245951 1000000000000000, q 2064240587367919162802593451 11570856975929589177922879488, q 500000000000000 323199197180359),
  (q 360717 1048576, q 721437 2097152, q 1 1, q 315624032223 488281250000, q 246647685893903 500000000000000, q 49542150648013213315573343233 277700606570894173351782121472, q 488281250000 315624032223),
  (q 721437 2097152, q 22545 65536, q 1 1, q 646397641625863 1000000000000000, q 493295441328787 1000000000000000, q 3064933947688990752337633 17179869184000000000000000, q 1000000000000000 646397641625863),
  (q 22545 65536, q 721443 2097152, q 1 1, q 323198632630097 500000000000000, q 123323877717223 250000000000000, q 49542903756022966548968268511 277700684866585058837270626304, q 500000000000000 323198632630097),
  (q 721443 2097152, q 360723 1048576, q 1 1, q 323198444447849 500000000000000, q 493295580408123 1000000000000000, q 6277078373561101613063062751 35184372088832000000000000000, q 500000000000000 323198444447849),
  (q 360723 1048576, q 721449 2097152, q 1 1, q 323198256266187 500000000000000, q 493295649946479 1000000000000000, q 50217001586100241945732724421 281474976710656000000000000000, q 500000000000000 323198256266187),
  (q 721449 2097152, q 180363 524288, q 1 1, q 323198068085111 500000000000000, q 12332392987099 25000000000000, q 1014384935468111498917266311 5685760542949101934714290176, q 500000000000000 323198068085111),
  (q 180363 524288, q 721455 2097152, q 1 1, q 161598939952311 250000000000000, q 246647894510283 500000000000000, q 2359257618791254767887425079 13223849592955094342725271552, q 250000000000000 161598939952311),
  (q 721455 2097152, q 360729 1048576, q 1 1, q 323197691724719 500000000000000, q 246647929278149 500000000000000, q 6277265673784447316178119141 35184372088832000000000000000, q 500000000000000 323197691724719),
  (q 360729 1048576, q 721461 2097152, q 1 1, q 161598751772701 250000000000000, q 98659185618231 200000000000000, q 50218499995447707455137312489 281474976710656000000000000000, q 250000000000000 161598751772701),
  (q 721461 2097152, q 90183 262144, q 1 1, q 646394630733343 1000000000000000, q 493295997625137 1000000000000000, q 10752070245944813286426241 60264965036022245902778368, q 1000000000000000 646394630733343),
  (q 90183 262144, q 721467 2097152, q 1 1, q 323197127188527 500000000000000, q 98659213431649 200000000000000, q 64922868298837591539205627303 363887615393366249678567374848, q 500000000000000 323197127188527),
  (q 721467 2097152, q 360735 1048576, q 1 1, q 323196939010969 500000000000000, q 246648068345239 500000000000000, q 8115414348825700994378269043 45485925440533903450761592832, q 500000000000000 323196939010969),
  (q 360735 1048576, q 721473 2097152, q 1 1, q 323196750833997 500000000000000, q 123324051555459 250000000000000, q 21641253761457017796667575343 121295730551945327626342629376, q 500000000000000 323196750833997),
  (q 721473 2097152, q 180369 524288, q 1 1, q 80799140664403 125000000000000, q 770775430863 1562500000000, q 784693328900958257642235101 4398046511104000000000000000, q 125000000000000 80799140664403),
  (q 180369 524288, q 721479 2097152, q 1 1, q 5171141991709 8000000000000, q 493296345281929 1000000000000000, q 64924654277894392045076796107 363886767920946514310987776000, q 8000000000000 5171141991709),
  (q 721479 2097152, q 360741 1048576, q 1 1, q 646392372613199 1000000000000000, q 493296414810663 1000000000000000, q 8115637597206530734177474089 45485819506811465940007387136, q 1000000000000000 646392372613199),
  (q 360741 1048576, q 721485 2097152, q 1 1, q 323195998131973 500000000000000, q 493296484338523 1000000000000000, q 50221496904872013989963091569 281474976710656000000000000000, q 500000000000000 323195998131973),
  (q 721485 2097152, q 45093 131072, q 1 1, q 129278323983173 200000000000000, q 123324138466377 250000000000000, q 15851072700966896158238619 88839387774307278289633280, q 200000000000000 129278323983173),
  (q 45093 131072, q 721491 2097152, q 1 1, q 646391243568957 1000000000000000, q 246648311695809 500000000000000, q 16516309630330181088307054837 92567103720400613562774454272, q 1000000000000000 646391243568957),
  (q 721491 2097152, q 360747 1048576, q 1 1, q 646390867223221 1000000000000000, q 246648346458427 500000000000000, q 6193663184739537230248117087 34712668787553776061755949056, q 1000000000000000 646390867223221),
  (q 360747 1048576, q 721497 2097152, q 1 1, q 323195245439329 500000000000000, q 963470239143 1953125000000, q 64927333306403799250631724789 363885496732119520296143159296, q 500000000000000 323195245439329),
  (q 721497 2097152, q 180375 524288, q 1 1, q 161597528633817 250000000000000, q 493296831964703 1000000000000000, q 784740156792101526556950123 4398046511104000000000000000, q 250000000000000 161597528633817),
  (q 180375 524288, q 721503 2097152, q 1 1, q 12927794763861 20000000000000, q 98659380297463 200000000000000, q 9910087049996212761106082647 55540293543032302701123731456, q 20000000000000 12927794763861),
  (q 721503 2097152, q 360753 1048576, q 1 1, q 161597340463001 250000000000000, q 493296971009053 1000000000000000, q 8116084105953088555896356125 45485607643327154947050438656, q 250000000000000 161597340463001),
  (q 360753 1048576, q 721509 2097152, q 1 1, q 161597246378033 250000000000000, q 123324260132479 250000000000000, q 49551188440763843852834288569 277701545989187270033687969792, q 250000000000000 161597246378033),
  (q 721509 2097152, q 90189 262144, q 1 1, q 80798576146679 125000000000000, q 98659422009981 200000000000000, q 10753377829639135343353849 60265100938685295016017920, q 125000000000000 80798576146679),
  (q 90189 262144, q 721515 2097152, q 1 1, q 10099816138061 15625000000000, q 24664858978451 50000000000000, q 64930012406823322561529699255 363884225567056332665072386048, q 15625000000000 10099816138061),
  (q 721515 2097152, q 360759 1048576, q 1 1, q 646387856499549 1000000000000000, q 24664862454363 50000000000000, q 2705435788772968701389568089 15161833904521783944530624512, q 1000000000000000 646387856499549),
  (q 360759 1048576, q 721521 2097152, q 1 1, q 646387480164367 1000000000000000, q 3946378548837 8000000000000, q 16517564948301551291166076463 92567234177110583076192256000, q 1000000000000000 646387480164367),
  (q 721521 2097152, q 180381 524288, q 1 1, q 646387103830357 1000000000000000, q 123324347030279 250000000000000, q 774266741416297776087939701 4339089713525579995181744128, q 1000000000000000 646387103830357),
  (q 180381 524288, q 721527 2097152, q 1 1, q 8079834093719 12500000000000, q 493297457636733 1000000000000000, q 64931798513720305108247293179 363883378136883176551995146240, q 12500000000000 8079834093719),
  (q 721527 2097152, q 360765 1048576, q 1 1, q 20199573473933 31250000000000, q 19731901086059 40000000000000, q 6278389554513654693340690913 35184372088832000000000000000, q 31250000000000 20199573473933),
  (q 360765 1048576, q 721533 2097152, q 1 1, q 161596493708841 250000000000000, q 493297596665343 1000000000000000, q 50227491086647308669777725409 281474976710656000000000000000, q 250000000000000 161596493708841),
  (q 721533 2097152, q 5637 16384, q 1 1, q 161596399626511 250000000000000, q 15415552068073 31250000000000, q 1935158315744022993317 10844550805425177493504, q 250000000000000 161596399626511)
]

/-- Cells `(a, b, w₀, w₁, w₂, λ, c)`, sorted by `a`: chunk 3. -/
def cells3 : List (ℚ × ℚ × ℚ × ℚ × ℚ × ℚ × ℚ) := [
  (q 5637 16384, q 721539 2097152, q 1 1, q 323192611088949 500000000000000, q 98659547138091 200000000000000, q 3303663633836974299051120145 18513462488652021361188798464, q 500000000000000 323192611088949),
  (q 721539 2097152, q 360771 1048576, q 1 1, q 161596211462731 250000000000000, q 4932978052017 10000000000000, q 251143075248017090588571863 1407374883553280000000000000, q 250000000000000 161596211462731),
  (q 360771 1048576, q 721545 2097152, q 1 1, q 646384469525123 1000000000000000, q 49329787471207 100000000000000, q 9911141548697687783910309233 55540403118398401844680327168, q 1000000000000000 646384469525123),
  (q 721545 2097152, q 180387 524288, q 1 1, q 323192046600247 500000000000000, q 246648972110783 500000000000000, q 784833818245194607445263031 4398046511104000000000000000, q 500000000000000 323192046600247),
  (q 180387 524288, q 721551 2097152, q 1 1, q 323191858438519 500000000000000, q 123324503432547 250000000000000, q 50229739029572477512298507843 281474976710656000000000000000, q 500000000000000 323191858438519),
  (q 721551 2097152, q 360777 1048576, q 1 1, q 323191670277377 500000000000000, q 98659616647587 200000000000000, q 8116977171387012853564828005 45485183932201352025295814656, q 500000000000000 323191670277377),
  (q 360777 1048576, q 721557 2097152, q 1 1, q 161595741058411 250000000000000, q 61662269093101 125000000000000, q 2009219534360142259760589169 11258999068426240000000000000, q 250000000000000 161595741058411),
  (q 721557 2097152, q 90195 262144, q 1 1, q 323191293956853 500000000000000, q 493298222250807 1000000000000000, q 98107154348739497888383107 549755813888000000000000000, q 500000000000000 323191293956853),
  (q 90195 262144, q 721563 2097152, q 1 1, q 32319110579747 50000000000000, q 493298291755931 1000000000000000, q 64937157026178090187306296583 363880835909736110369307361280, q 50000000000000 32319110579747),
  (q 721563 2097152, q 360783 1048576, q 1 1, q 161595458819337 250000000000000, q 493298361260181 1000000000000000, q 688310335118318801028553835 3856976242975394915288088576, q 250000000000000 161595458819337),
  (q 360783 1048576, q 721569 2097152, q 1 1, q 20199420592529 31250000000000, q 493298430763557 1000000000000000, q 16519573587492435874002116431 92567442873716905241558908928, q 31250000000000 20199420592529),
  (q 721569 2097152, q 180393 524288, q 1 1, q 8079763533071 12500000000000, q 493298500266059 1000000000000000, q 1014664010925604346040423013 5685628130746918411635261440, q 12500000000000 8079763533071),
  (q 180393 524288, q 721575 2097152, q 1 1, q 129276141266321 200000000000000, q 246649284883843 500000000000000, q 49559474036038111098039128219 277702406873518661644721324032, q 200000000000000 129276141266321),
  (q 721575 2097152, q 360789 1048576, q 1 1, q 646380330018703 1000000000000000, q 12332465981711 25000000000000, q 8117423728075071339769698809 45484972084560141571474849792, q 1000000000000000 646380330018703),
  (q 360789 1048576, q 721581 2097152, q 1 1, q 323189976853487 500000000000000, q 493298708768319 1000000000000000, q 50233485752342377787226765649 281474976710656000000000000000, q 500000000000000 323189976853487),
  (q 721581 2097152, q 45099 131072, q 1 1, q 646379577396417 1000000000000000, q 123324694566831 250000000000000, q 5284853756343836897340579 29612577554345726320836608, q 1000000000000000 646379577396417),
  (q 45099 131072, q 721587 2097152, q 1 1, q 646379201087033 1000000000000000, q 246649423882727 500000000000000, q 49560980605736372892033796159 277702563372349208473420955648, q 1000000000000000 646379201087033),
  (q 721587 2097152, q 360795 1048576, q 1 1, q 323189412389411 500000000000000, q 493298917262711 1000000000000000, q 8117647012412026307131169831 45484866162720029465072631808, q 500000000000000 323189412389411),
  (q 360795 1048576, q 721593 2097152, q 1 1, q 80797306058973 125000000000000, q 493298986759093 1000000000000000, q 49561733901873911842627301845 277702641618811809382075990016, q 125000000000000 80797306058973),
  (q 721593 2097152, q 180399 524288, q 1 1, q 323189036082959 500000000000000, q 246649528127301 500000000000000, q 784927487259637280889796027 4398046511104000000000000000, q 500000000000000 323189036082959),
  (q 180399 524288, q 721599 2097152, q 1 1, q 80797211982653 125000000000000, q 123324781437309 250000000000000, q 64942515826293440900355280563 363878293777651025121156005888, q 125000000000000 80797211982653),
  (q 721599 2097152, q 360801 1048576, q 1 1, q 80797164944713 125000000000000, q 123324798810749 250000000000000, q 8117870300744321697868902317 45484760242200246105675923456, q 125000000000000 80797164944713),
  (q 360801 1048576, q 721605 2097152, q 1 1, q 161594235813839 250000000000000, q 246649632367941 500000000000000, q 64943408987613370015381606041 363877870098212689915068547072, q 250000000000000 161594235813839),
  (q 721605 2097152, q 90201 262144, q 1 1, q 646376566954181 1000000000000000, q 246649667113947 500000000000000, q 126843467912636476969601673 710698551288054201718931456, q 1000000000000000 646376566954181),
  (q 90201 262144, q 721611 2097152, q 1 1, q 646376190654179 1000000000000000, q 61662425464879 125000000000000, q 64944302156924097297499923127 363877446421415152940480462848, q 1000000000000000 646376190654179),
  (q 721611 2097152, q 360807 1048576, q 1 1, q 12927516287107 20000000000000, q 98659894641859 200000000000000, q 1239109262440499952182549567 6942572886648259176747237376, q 20000000000000 12927516287107),
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  (q 361383 1048576, q 722769 2097152, q 1 1, q 323115513241769 500000000000000, q 246663081068157 500000000000000, q 65116833482146591129305784317 363795726258314358603546361856, q 500000000000000 323115513241769),
  (q 722769 2097152, q 180693 524288, q 1 1, q 646230650637677 1000000000000000, q 98665246258029 200000000000000, q 145351073306513500851063303 812043559544429497903218688, q 1000000000000000 646230650637677),
  (q 180693 524288, q 722775 2097152, q 1 1, q 64623027479299 100000000000000, q 246663150221553 500000000000000, q 65117728202489289609294856923 363795303094155374763054202880, q 100000000000000 64623027479299),
  (q 722775 2097152, q 361389 1048576, q 1 1, q 323114949474739 500000000000000, q 246663184797599 500000000000000, q 6297891786606980105561916961 35184372088832000000000000000, q 500000000000000 323114949474739),
  (q 361389 1048576, q 722781 2097152, q 1 1, q 646229523107139 1000000000000000, q 493326438746421 1000000000000000, q 50383509730207064132264575089 281474976710656000000000000000, q 1000000000000000 646229523107139),
  (q 722781 2097152, q 22587 65536, q 1 1, q 25849165890639 40000000000000, q 246663253948387 500000000000000, q 3034143814076809522913069 16950569741332240591224832, q 40000000000000 25849165890639),
  (q 22587 65536, q 722787 2097152, q 1 1, q 129245754285197 200000000000000, q 493326577046259 1000000000000000, q 1841177394372407163869343773 10285858280358769989049647104, q 200000000000000 129245754285197),
  (q 722787 2097152, q 361395 1048576, q 1 1, q 646228395587169 1000000000000000, q 3946613169559 8000000000000, q 6298079506701935471372347767 35184372088832000000000000000, q 1000000000000000 646228395587169),
  (q 361395 1048576, q 722793 2097152, q 1 1, q 80778502468691 125000000000000, q 246663357671311 500000000000000, q 50385011498536557045525676453 281474976710656000000000000000, q 125000000000000 80778502468691),
  (q 722793 2097152, q 180699 524288, q 1 1, q 32311382195653 50000000000000, q 493326784489499 1000000000000000, q 1017513434166919946799836263 5684278469381583190601236480, q 50000000000000 32311382195653),
  (q 180699 524288, q 722799 2097152, q 1 1, q 646227268077767 1000000000000000, q 123331713408877 250000000000000, q 65121307163852726901143805539 363793610463960635763331170304, q 1000000000000000 646227268077767),
  (q 722799 2097152, q 361401 1048576, q 1 1, q 646226892243649 1000000000000000, q 493326922780647 1000000000000000, q 690467731491804290135569461 3857199558345061256252096512, q 1000000000000000 646226892243649),
  (q 361401 1048576, q 722805 2097152, q 1 1, q 40389157275669 62500000000000, q 246663495962459 500000000000000, q 65122201924191981863414280809 363793187313022531578938523648, q 62500000000000 40389157275669),
  (q 722805 2097152, q 90351 262144, q 1 1, q 323113070289467 500000000000000, q 493327061068319 1000000000000000, q 97098499000656866377586287 542418839941177581234028544, q 500000000000000 323113070289467),
  (q 90351 262144, q 722811 2097152, q 1 1, q 646225764748339 1000000000000000, q 123331782552713 250000000000000, q 50387264207804963576370406999 281474976710656000000000000000, q 1000000000000000 646225764748339),
  (q 722811 2097152, q 361407 1048576, q 1 1, q 646225388918917 1000000000000000, q 123331799838129 250000000000000, q 8140443009962481705052301571 45474069073946694627138469888, q 1000000000000000 646225388918917),
  (q 361407 1048576, q 722817 2097152, q 1 1, q 64622501309067 100000000000000, q 49332726849331 100000000000000, q 9943112746770456404847816137 55543712563954388691576684544, q 100000000000000 64622501309067),
  (q 722817 2097152, q 180705 524288, q 1 1, q 646224637263597 1000000000000000, q 123331834408309 250000000000000, q 1017569357188090647949884437 5684252022613221470870962176, q 1000000000000000 646224637263597),
  (q 180705 524288, q 722823 2097152, q 1 1, q 646224261437699 1000000000000000, q 493327406772293 1000000000000000, q 50388766051833841403656982939 281474976710656000000000000000, q 1000000000000000 646224261437699),
  (q 722823 2097152, q 361413 1048576, q 1 1, q 25848955424519 40000000000000, q 493327475910481 1000000000000000, q 251945707587861779036996473 1407374883553280000000000000, q 40000000000000 25848955424519),
  (q 361413 1048576, q 722829 2097152, q 1 1, q 25848940391577 40000000000000, q 2466637725239 5000000000000, q 2015580679408135532714662473 11258999068426240000000000000, q 40000000000000 25848940391577),
  (q 722829 2097152, q 45177 131072, q 1 1, q 646223133967049 1000000000000000, q 1973310456737 4000000000000, q 15899958116384868028338823 88816231241827270292144128, q 1000000000000000 646223133967049),
  (q 45177 131072, q 722835 2097152, q 1 1, q 80777844768231 125000000000000, q 493327683319831 1000000000000000, q 49717828275739503620575132879 277718796346342618332787638272, q 125000000000000 80777844768231),
  (q 722835 2097152, q 361419 1048576, q 1 1, q 646222382325821 1000000000000000, q 30832984528409 62500000000000, q 8140890406131146474855927207 45473857503766275872358662144, q 1000000000000000 646222382325821),
  (q 361419 1048576, q 722841 2097152, q 1 1, q 80777750813371 125000000000000, q 493327821588387 1000000000000000, q 65127570654217399716702475893 363790648462924415777967702016, q 125000000000000 80777750813371),
  (q 722841 2097152, q 180711 524288, q 1 1, q 64622163068929 100000000000000, q 246663945360681 500000000000000, q 1017625282209149817938805339 5684225576505938918317752320, q 100000000000000 64622163068929),
  (q 180711 524288, q 722847 2097152, q 1 1, q 323110627436393 500000000000000, q 123331989963367 250000000000000, q 65128465470553693060420582931 363790225330496669012021215232, q 500000000000000 323110627436393),
  (q 722847 2097152, q 361425 1048576, q 1 1, q 646220879057457 1000000000000000, q 98665605796941 200000000000000, q 414330962048138177310798571 2314324924486394466803908608, q 1000000000000000 646220879057457),
  (q 361425 1048576, q 722853 2097152, q 1 1, q 323110251621651 500000000000000, q 493328098115073 1000000000000000, q 5524454765048302420450659089 30857669983922753512736292864, q 500000000000000 323110251621651),
  (q 722853 2097152, q 90357 262144, q 1 1, q 646220127430321 1000000000000000, q 493328167244573 1000000000000000, q 98423625545014112542477883 549755813888000000000000000, q 1000000000000000 646220127430321),
  (q 90357 262144, q 722859 2097152, q 1 1, q 323109875809257 500000000000000, q 123332059093301 250000000000000, q 65130255127225556970852012727 363789379073574266223741370368, q 500000000000000 323109875809257),
  (q 722859 2097152, q 361431 1048576, q 1 1, q 323109687903941 500000000000000, q 246664152750483 500000000000000, q 8141337818299176238013728059 45473645938874560823739547648, q 500000000000000 323109687903941),
  (q 361431 1048576, q 722865 2097152, q 1 1, q 25848759999937 40000000000000, q 493328374627859 1000000000000000, q 2015760909775788897461700853 11258999068426240000000000000, q 40000000000000 25848759999937),
  (q 722865 2097152, q 180717 524288, q 1 1, q 646218624190141 1000000000000000, q 493328443753883 1000000000000000, q 776905939249676610364320581 4339362881760262058005233664, q 1000000000000000 646218624190141),
  (q 180717 524288, q 722871 2097152, q 1 1, q 80777281047879 125000000000000, q 493328512879039 1000000000000000, q 65132044815896761456829798075 363788532827229693060247977984, q 125000000000000 80777281047879),
  (q 722871 2097152, q 361437 1048576, q 1 1, q 323108936288549 500000000000000, q 246664291001663 500000000000000, q 6215341876972800379563952913 34714912782521783635582910464, q 500000000000000 323108936288549),
  (q 361437 1048576, q 722877 2097152, q 1 1, q 646217496772337 1000000000000000, q 98665730225349 200000000000000, q 65132939672232221027376917889 363788109708023951850307846144, q 1000000000000000 646217496772337),
  (q 722877 2097152, q 11295 32768, q 1 1, q 40388570060547 62500000000000, q 246664360124647 500000000000000, q 189680061062316826266719 1059415359824125348544512, q 62500000000000 40388570060547),
  (q 11295 32768, q 722883 2097152, q 1 1, q 32310837258317 50000000000000, q 19733151574839 40000000000000, q 3314924492374280451229406897 18514627933185507648109281280, q 50000000000000 32310837258317),
  (q 722883 2097152, q 361443 1048576, q 1 1, q 646216369365103 1000000000000000, q 123332214622947 250000000000000, q 8141785246466921791665217647 45473434379271760587513659392, q 1000000000000000 646216369365103),
  (q 361443 1048576, q 722889 2097152, q 1 1, q 8077699919563 12500000000000, q 123332231902933 250000000000000, q 65134729408903083731977450181 363787263477546123123994132480, q 12500000000000 8077699919563),
  (q 722889 2097152, q 180723 524288, q 1 1, q 80776952220769 125000000000000, q 493328996730807 1000000000000000, q 1017737138251106675931973935 5684172686274681683486703616, q 125000000000000 80776952220769),
  (q 180723 524288, q 722895 2097152, q 1 1, q 323107620984219 500000000000000, q 493329065849013 1000000000000000, q 21711874763079523025361686433 121262280122091345202540183552, q 500000000000000 323107620984219),
  (q 722895 2097152, q 361449 1048576, q 1 1, q 646214866171899 1000000000000000, q 493329134966351 1000000000000000, q 6299769157883277017366420733 35184372088832000000000000000, q 1000000000000000 646214866171899),
  (q 361449 1048576, q 722901 2097152, q 1 1, q 323107245188267 500000000000000, q 24666460204141 50000000000000, q 49726132176136214408155455593 277719652459796440738001059840, q 500000000000000 323107245188267),
  (q 722901 2097152, q 90363 262144, q 1 1, q 646214114582343 1000000000000000, q 493329273198421 1000000000000000, q 127220637938949206561334499 710519933016258530317959168, q 1000000000000000 646214114582343),
  (q 90363 262144, q 722907 2097152, q 1 1, q 646213738789327 1000000000000000, q 493329342313153 1000000000000000, q 49726887121379510677465905079 277719730276555964500448116736, q 1000000000000000 646213738789327),
  (q 722907 2097152, q 361455 1048576, q 1 1, q 129242672599497 200000000000000, q 493329411427017 1000000000000000, q 2714077563544908264137813489 15157740941652648510808391680, q 200000000000000 129242672599497),
  (q 361455 1048576, q 722913 2097152, q 1 1, q 323106493603409 500000000000000, q 123332370135003 250000000000000, q 50400030847258823984864414413 281474976710656000000000000000, q 500000000000000 323106493603409),
  (q 722913 2097152, q 180729 524288, q 1 1, q 25848504456693 40000000000000, q 246664774826069 500000000000000, q 777000305521438595482662793 4339372609344186135508680704, q 40000000000000 25848504456693),
  (q 180729 524288, q 722919 2097152, q 1 1, q 323106117814503 500000000000000, q 123332404690849 250000000000000, q 49728397034470296012714280939 277719885904207384660831895552, q 500000000000000 323106117814503),
  (q 722919 2097152, q 361461 1048576, q 1 1, q 323105929920931 500000000000000, q 246664843936893 500000000000000, q 8142456418718755861188613449 45473117049784451428272570368, q 500000000000000 323105929920931),
  (q 361461 1048576, q 722925 2097152, q 1 1, q 646211484055893 1000000000000000, q 493329756983307 1000000000000000, q 50401532948681031424092528897 281474976710656000000000000000, q 1000000000000000 646211484055893),
  (q 722925 2097152, q 45183 131072, q 1 1, q 323105554135549 500000000000000, q 493329826091959 1000000000000000, q 12140998410416807745606637 67802735014602604594331648, q 500000000000000 323105554135549),
  (q 45183 131072, q 722931 2097152, q 1 1, q 646210732487477 1000000000000000, q 493329895199743 1000000000000000, q 49729906977700307115808563391 277720041524036052268473122816, q 1000000000000000 646210732487477),
  (q 722931 2097152, q 361467 1048576, q 1 1, q 646210356705031 1000000000000000, q 493329964306659 1000000000000000, q 2072095186175712663527818549 11571670017823799814958088192, q 1000000000000000 646210356705031),
  (q 361467 1048576, q 722937 2097152, q 1 1, q 646209980923759 1000000000000000, q 246665016706353 500000000000000, q 2368126760029410243080469553 13224767587191292159047237632, q 1000000000000000 646209980923759),
  (q 722937 2097152, q 180735 524288, q 1 1, q 323104802571831 500000000000000, q 98666020503577 200000000000000, q 787553290906945061371549227 4398046511104000000000000000, q 500000000000000 323104802571831),
  (q 180735 524288, q 722943 2097152, q 1 1, q 646209229364739 1000000000000000, q 98666034324439 200000000000000, q 49731416951069850520446553763 277720197136042530273325219840, q 1000000000000000 646209229364739),
  (q 722943 2097152, q 361473 1048576, q 1 1, q 64620885358699 100000000000000, q 493330240725637 1000000000000000, q 8142903886887297306226894957 45472905503404430804238991360, q 100000000000000 64620885358699),
  (q 361473 1048576, q 722949 2097152, q 1 1, q 646208477810417 1000000000000000, q 493330309828211 1000000000000000, q 50404537242375170427430681193 281474976710656000000000000000, q 1000000000000000 646208477810417),
  (q 722949 2097152, q 90369 262144, q 1 1, q 646208102035017 1000000000000000, q 123332594732479 250000000000000, q 127234621194211965251064241 710513322150561039821832192, q 1000000000000000 646208102035017),
  (q 90369 262144, q 722955 2097152, q 1 1, q 80775965782599 125000000000000, q 493330448030753 1000000000000000, q 65144573532605778382553444119 363782609399004791709162799104, q 125000000000000 80775965782599),
  (q 722955 2097152, q 361479 1048576, q 1 1, q 323103675243871 500000000000000, q 493330517130721 1000000000000000, q 270289698153076118123008477 1509349954565495373040713728, q 500000000000000 323103675243871),
  (q 361479 1048576, q 722961 2097152, q 1 1, q 323103487357933 500000000000000, q 493330586229821 1000000000000000, q 49733681967636517315757446301 277720430539386275094071345152, q 500000000000000 323103487357933),
  (q 722961 2097152, q 180741 524288, q 1 1, q 161551649736291 250000000000000, q 493330655328053 1000000000000000, q 1017904937314286592646069561 5684093355886320593626202112, q 250000000000000 161551649736291),
  (q 180741 524288, q 722967 2097152, q 1 1, q 646206223175637 1000000000000000, q 61666340553177 125000000000000, q 16578145662742951342480355897 92573502778863347791522955264, q 1000000000000000 646206223175637),
  (q 722967 2097152, q 361485 1048576, q 1 1, q 129241169481457 200000000000000, q 61666349190239 125000000000000, q 1260179152468152871316363621 7036874417766400000000000000, q 200000000000000 129241169481457),
  (q 361485 1048576, q 722973 2097152, q 1 1, q 646205471640107 1000000000000000, q 246665431308769 500000000000000, q 49735192016356344698666455601 277720586131838686466834169856, q 1000000000000000 646205471640107),
  (q 722973 2097152, q 22593 65536, q 1 1, q 646205095874103 1000000000000000, q 493330931712297 1000000000000000, q 165679183850083740066923 925143251095938972778496, q 1000000000000000 646205095874103),
  (q 22593 65536, q 722979 2097152, q 1 1, q 323102360054637 500000000000000, q 123332750201547 250000000000000, q 7238683717107221133494659271 40420101898460861800311160832, q 500000000000000 323102360054637),
  (q 722979 2097152, q 361491 1048576, q 1 1, q 32310217217281 50000000000000, q 49333106989921 100000000000000, q 1628715023828391018714813443 9094517638750405987020046336, q 50000000000000 32310217217281),
  (q 361491 1048576, q 722985 2097152, q 1 1, q 32310198429157 50000000000000, q 493331138991363 1000000000000000, q 16578900698405622421712232759 92573580572156865695556042752, q 50000000000000 32310198429157),
  (q 722985 2097152, q 180747 524288, q 1 1, q 129240718564367 200000000000000, q 493331208082649 1000000000000000, q 157529435868712051854414023 879609302220800000000000000, q 200000000000000 129240718564367),
  (q 180747 524288, q 722991 2097152, q 1 1, q 80775402132713 125000000000000, q 246665638586533 500000000000000, q 49737457145950000310460916547 277720819505853864614236782592, q 125000000000000 80775402132713),
  (q 722991 2097152, q 361497 1048576, q 1 1, q 161550710325687 250000000000000, q 61666418282827 125000000000000, q 6301271327443851726322435029 35184372088832000000000000000, q 250000000000000 161550710325687),
  (q 361497 1048576, q 722997 2097152, q 1 1, q 323101232772483 500000000000000, q 493331415351297 1000000000000000, q 2016421847726860117798022769 11258999068426240000000000000, q 500000000000000 323101232772483),
  (q 722997 2097152, q 90375 262144, q 1 1, q 646202089788359 1000000000000000, q 49333148443911 100000000000000, q 98458831579462934399056153 549755813888000000000000000, q 1000000000000000 646202089788359),
  (q 90375 262144, q 723003 2097152, q 1 1, q 323100857016463 500000000000000, q 246665776763027 500000000000000, q 49738967270022195474379997383 277720975078755587054630862848, q 500000000000000 323100857016463),
  (q 723003 2097152, q 361503 1048576, q 1 1, q 161550334569667 250000000000000, q 493331622612131 1000000000000000, q 6301459115673815340923112371 35184372088832000000000000000, q 250000000000000 161550334569667),
  (q 361503 1048576, q 723009 2097152, q 1 1, q 40387560157849 62500000000000, q 493331691697339 1000000000000000, q 49739722343361338250496062541 277721052862274041967456288768, q 62500000000000 40387560157849),
  (q 723009 2097152, q 180753 524288, q 1 1, q 25848023470947 40000000000000, q 493331760781679 1000000000000000, q 777189060669635821952310569 4339392058645312923586527232, q 40000000000000 25848023470947),
  (q 180753 524288, q 723015 2097152, q 1 1, q 646200211022941 1000000000000000, q 7708309841643 15625000000000, q 50412799674645052050903533179 281474976710656000000000000000, q 1000000000000000 646200211022941),
  (q 723015 2097152, q 361509 1048576, q 1 1, q 646199835273381 1000000000000000, q 123332974736939 250000000000000, q 6301646907689448088134340257 35184372088832000000000000000, q 1000000000000000 646199835273381),
  (q 361509 1048576, q 723021 2097152, q 1 1, q 129239891904999 200000000000000, q 123332992007373 250000000000000, q 21718139541457420557877724347 121259318546824308088876564480, q 200000000000000 129239891904999),
  (q 723021 2097152, q 45189 131072, q 1 1, q 129239816755557 200000000000000, q 12333300927759 25000000000000, q 1230808750999395191061009 6871947673600000000000000, q 200000000000000 129239816755557),
  (q 45189 131072, q 723027 2097152, q 1 1, q 161549677007937 250000000000000, q 493332106190359 1000000000000000, q 49741987608591476688663680719 277721286201100344426399531008, q 250000000000000 161549677007937),
  (q 723027 2097152, q 361515 1048576, q 1 1, q 646198332286887 1000000000000000, q 493332175269491 1000000000000000, q 6217795644923760956423118703 34715165636149310776382849024, q 1000000000000000 646198332286887),
  (q 361515 1048576, q 723033 2097152, q 1 1, q 807747445679 1250000000000, q 98666448869551 200000000000000, q 2016602128970447350510717693 11258999068426240000000000000, q 1250000000000 807747445679),
  (q 723033 2097152, q 180759 524288, q 1 1, q 646197580800687 1000000000000000, q 493332313425151 1000000000000000, q 1018072754378799157143181139 5684014031448613190312656896, q 1000000000000000 646197580800687)
]

/-- Cells `(a, b, w₀, w₁, w₂, λ, c)`, sorted by `a`: chunk 4. -/
def cells4 : List (ℚ × ℚ × ℚ × ℚ × ℚ × ℚ × ℚ) := [
  (q 180759 524288, q 723039 2097152, q 1 1, q 646197205059349 1000000000000000, q 246666191250839 500000000000000, q 49743497823089237293913302627 277721441750544505257680961536, q 1000000000000000 646197205059349),
  (q 723039 2097152, q 361521 1048576, q 1 1, q 323098414659593 500000000000000, q 246666225788669 500000000000000, q 6217984422677929977741793901 34715185079585510600508178432, q 500000000000000 323098414659593),
  (q 361521 1048576, q 723045 2097152, q 1 1, q 646196453580197 1000000000000000, q 49333252065213 100000000000000, q 65157998897768955401645745945 363776263443988903131520958464, q 1000000000000000 646196453580197),
  (q 723045 2097152, q 90381 262144, q 1 1, q 646196077842383 1000000000000000, q 246666294863027 500000000000000, q 127262590704970340200869037 710500101410945338292830208, q 1000000000000000 646196077842383),
  (q 90381 262144, q 723051 2097152, q 1 1, q 40387231381609 62500000000000, q 49333265879911 100000000000000, q 50417306842021011859009547959 281474976710656000000000000000, q 62500000000000 40387231381609),
  (q 723051 2097152, q 361527 1048576, q 1 1, q 646195326370279 1000000000000000, q 493332727871297 1000000000000000, q 6218173204199925111144694771 34715204522044429305494110208, q 1000000000000000 646195326370279),
  (q 361527 1048576, q 723057 2097152, q 1 1, q 646194950635989 1000000000000000, q 246666398471309 500000000000000, q 2016722322523367787990463989 11258999068426240000000000000, q 1000000000000000 646194950635989),
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  (q 724503 2097152, q 362253 1048576, q 1 1, q 129202721668419 200000000000000, q 246683028590053 500000000000000, q 8172023655663936778844467841 45459166340714509191169966080, q 200000000000000 129202721668419),
  (q 362253 1048576, q 724509 2097152, q 1 1, q 646013233176767 1000000000000000, q 493366125832831 1000000000000000, q 50600076287744049150425583473 281474976710656000000000000000, q 1000000000000000 646013233176767),
  (q 724509 2097152, q 22641 65536, q 1 1, q 323006429006307 500000000000000, q 246683097242347 500000000000000, q 1995150338233572899080355 11098416391838674741886976, q 500000000000000 323006429006307),
  (q 22641 65536, q 724515 2097152, q 1 1, q 646012482849639 1000000000000000, q 98673252627139 200000000000000, q 9985896835177852489135394083 55548102970377251985312186368, q 1000000000000000 646012482849639),
  (q 724515 2097152, q 362259 1048576, q 1 1, q 4037575673049 6250000000000, q 98673266357167 200000000000000, q 1265030147096854757818258371 7036874417766400000000000000, q 6250000000000 4037575673049),
  (q 362259 1048576, q 724521 2097152, q 1 1, q 40375733282951 62500000000000, q 493366400435113 1000000000000000, q 65378431855149105939853654373 363672274735817313475354427392, q 62500000000000 40375733282951),
  (q 724521 2097152, q 181131 524288, q 1 1, q 64601135736777 100000000000000, q 493366469083529 1000000000000000, q 1021545005986335713915641063 5682375992809760347033436160, q 100000000000000 64601135736777),
  (q 181131 524288, q 724527 2097152, q 1 1, q 1292021964419 2000000000000, q 493366537731083 1000000000000000, q 65379328913104803484080387139 363671852344494040090148864000, q 2000000000000 1292021964419),
  (q 724527 2097152, q 362265 1048576, q 1 1, q 646010607052407 1000000000000000, q 19734664255111 40000000000000, q 1248284415599390409605493769 6943517701999980204020203520, q 1000000000000000 646010607052407),
  (q 362265 1048576, q 724533 2097152, q 1 1, q 64601023189649 100000000000000, q 246683337511803 500000000000000, q 16643918373084101878505903043 92580248908055524059354497024, q 100000000000000 64601023189649),
  (q 724533 2097152, q 90567 262144, q 1 1, q 2584039426967 4000000000000, q 19734669746743 40000000000000, q 3900947938782460075879151 21698498856863177604333568, q 4000000000000 2584039426967)
]

/-- Cells `(a, b, w₀, w₁, w₂, λ, c)`, sorted by `a`: chunk 5. -/
def cells5 : List (ℚ × ℚ × ℚ × ℚ × ℚ × ℚ × ℚ) := [
  (q 90567 262144, q 724539 2097152, q 1 1, q 323004740794093 500000000000000, q 493366812312683 1000000000000000, q 50603841674517882981976531079 281474976710656000000000000000, q 500000000000000 323004740794093),
  (q 724539 2097152, q 362271 1048576, q 1 1, q 323004553217899 500000000000000, q 61670860119491 125000000000000, q 891658761007166085726750245 4959658261674243750369427456, q 500000000000000 323004553217899),
  (q 362271 1048576, q 724545 2097152, q 1 1, q 646008731284587 1000000000000000, q 493366949598313 1000000000000000, q 65382020135043219651318760109 363670585186419111869382918144, q 1000000000000000 646008731284587),
  (q 724545 2097152, q 181137 524288, q 1 1, q 646008356134553 1000000000000000, q 98673403647967 200000000000000, q 790702676992363265749158497 4398046511104000000000000000, q 1000000000000000 646008356134553),
  (q 181137 524288, q 724551 2097152, q 1 1, q 129201596197139 200000000000000, q 30835442930031 62500000000000, q 10121069576459995967521627679 56294995342131200000000000000, q 200000000000000 129201596197139),
  (q 724551 2097152, q 362277 1048576, q 1 1, q 646007605838013 1000000000000000, q 98673431104059 200000000000000, q 2724306907210533758050696195 15152914650680112516425580544, q 1000000000000000 646007605838013),
  (q 362277 1048576, q 724557 2097152, q 1 1, q 161501807672877 250000000000000, q 481803929843 976562500000, q 49934783149379704277349103121 277741055860041650861070352384, q 250000000000000 161501807672877),
  (q 724557 2097152, q 45285 131072, q 1 1, q 32300342777309 50000000000000, q 123341823199327 250000000000000, q 12191201577547595900002717 67807884399375814938853376, q 50000000000000 32300342777309),
  (q 45285 131072, q 724563 2097152, q 1 1, q 161501620100507 250000000000000, q 493367361434523 1000000000000000, q 65384711429089546617296572431 363669318052187365975823220736, q 250000000000000 161501620100507),
  (q 724563 2097152, q 362283 1048576, q 1 1, q 646006105259053 1000000000000000, q 3946939440567 8000000000000, q 2080663278825209858581689269 11572548824082978609037312000, q 1000000000000000 646006105259053),
  (q 362283 1048576, q 724569 2097152, q 1 1, q 323002865058627 500000000000000, q 493367498706367 1000000000000000, q 50607607250837622913955139861 281474976710656000000000000000, q 500000000000000 323002865058627),
  (q 724569 2097152, q 181143 524288, q 1 1, q 80750669372079 125000000000000, q 123341891835249 250000000000000, q 86695617585974455409357731 482189668496874496015204352, q 125000000000000 80750669372079),
  (q 181143 524288, q 724575 2097152, q 1 1, q 323002489918593 500000000000000, q 123341908993691 250000000000000, q 49937054251209229755619316531 277741287691576208433891770368, q 500000000000000 323002489918593),
  (q 724575 2097152, q 362289 1048576, q 1 1, q 161501151174729 250000000000000, q 493367704607671 1000000000000000, q 8173369278651426005529301789 45458532765650979170732212224, q 250000000000000 161501151174729),
  (q 362289 1048576, q 724581 2097152, q 1 1, q 20187632173807 31250000000000, q 123341943309929 250000000000000, q 50609113534439529147017360249 281474976710656000000000000000, q 31250000000000 20187632173807),
  (q 724581 2097152, q 90573 262144, q 1 1, q 161500963606477 250000000000000, q 4933678418709 10000000000000, q 98846660371247703347094521 549755813888000000000000000, q 250000000000000 161500963606477),
  (q 90573 262144, q 724587 2097152, q 1 1, q 20187608727849 31250000000000, q 246683955250611 500000000000000, q 21796099977773733816699287869 121222542858989505594074857472, q 31250000000000 20187608727849),
  (q 724587 2097152, q 362295 1048576, q 1 1, q 129200620831521 200000000000000, q 246683989565341 500000000000000, q 6242368360993428742418065891 34717685108898032847681486848, q 200000000000000 129200620831521),
  (q 362295 1048576, q 724593 2097152, q 1 1, q 646002729025219 1000000000000000, q 493368047759281 1000000000000000, q 49939325420954809216745824717 277741519505650873201351196672, q 1000000000000000 646002729025219),
  (q 724593 2097152, q 181149 524288, q 1 1, q 646002353894009 1000000000000000, q 493368116387019 1000000000000000, q 790796819243615686664608901 4398046511104000000000000000, q 1000000000000000 646002353894009),
  (q 181149 524288, q 724599 2097152, q 1 1, q 25840079150559 40000000000000, q 98673637002779 200000000000000, q 13078018846702120888090253407 72733356771051022004036567040, q 40000000000000 25840079150559),
  (q 724599 2097152, q 362301 1048576, q 1 1, q 646001603635119 1000000000000000, q 49336825363991 100000000000000, q 253058748018605084604425217 1407374883553280000000000000, q 1000000000000000 646001603635119),
  (q 362301 1048576, q 724605 2097152, q 1 1, q 323000614253719 500000000000000, q 493368322265063 1000000000000000, q 65390991395623859580554195809 363666361498372551835339718656, q 500000000000000 323000614253719),
  (q 724605 2097152, q 5661 16384, q 1 1, q 129200170676187 200000000000000, q 98673678177871 200000000000000, q 2241301508030188400171 12464712374999553409024, q 200000000000000 129200170676187),
  (q 5661 16384, q 724611 2097152, q 1 1, q 80750059781951 125000000000000, q 246684229756393 500000000000000, q 50612879376132194312224980703 281474976710656000000000000000, q 125000000000000 80750059781951),
  (q 724611 2097152, q 362307 1048576, q 1 1, q 646000103131457 1000000000000000, q 98673705627071 200000000000000, q 8174042144227132584903020335 45458215996002058302755176448, q 1000000000000000 646000103131457),
  (q 362307 1048576, q 724617 2097152, q 1 1, q 161499932002121 250000000000000, q 493368596757063 1000000000000000, q 2024545302688702399912996109 11258999068426240000000000000, q 250000000000000 161499932002121),
  (q 724617 2097152, q 181155 524288, q 1 1, q 322999676443343 500000000000000, q 493368665377909 1000000000000000, q 780355192233097276287081079 4339716674906699030249603072, q 500000000000000 322999676443343),
  (q 181155 524288, q 724623 2097152, q 1 1, q 129199795553213 200000000000000, q 246684366998947 500000000000000, q 65393682930038342010175897987 363665094443621458065521377280, q 200000000000000 129199795553213),
  (q 724623 2097152, q 362313 1048576, q 1 1, q 645998602646621 1000000000000000, q 246684401308509 500000000000000, q 8174266440764797565669283861 45458110408768491354633273344, q 1000000000000000 645998602646621),
  (q 362313 1048576, q 724629 2097152, q 1 1, q 322999113764177 500000000000000, q 6167110890441 12500000000000, q 3329591197613240891306615815 18516132205428410254647885824, q 500000000000000 322999113764177),
  (q 724629 2097152, q 90579 262144, q 1 1, q 645997852411263 1000000000000000, q 246684469926341 500000000000000, q 127724665477124806870264171 710282150244507987726041088, q 1000000000000000 645997852411263),
  (q 90579 262144, q 724635 2097152, q 1 1, q 645997477295349 1000000000000000, q 246684504234611 500000000000000, q 50615892185968013603790157911 281474976710656000000000000000, q 1000000000000000 645997477295349),
  (q 724635 2097152, q 362319 1048576, q 1 1, q 645997102180611 1000000000000000, q 4933690770849 10000000000000, q 2081041818435785364164348393 11572587456852506025603891200, q 1000000000000000 645997102180611),
  (q 362319 1048576, q 724641 2097152, q 1 1, q 12919934541341 20000000000000, q 246684572849859 500000000000000, q 65396374536565826923988538669 363663827412715798422722969600, q 20000000000000 12919934541341),
  (q 724641 2097152, q 181161 524288, q 1 1, q 322998175977333 500000000000000, q 246684607156837 500000000000000, q 790890969077095237931691021 4398046511104000000000000000, q 500000000000000 322998175977333),
  (q 181161 524288, q 724647 2097152, q 1 1, q 322997988421729 500000000000000, q 30835580182923 62500000000000, q 16648713112566361371389757305 92580738281043382456782159872, q 500000000000000 322997988421729),
  (q 724647 2097152, q 362325 1048576, q 1 1, q 645995601733427 1000000000000000, q 246684675769501 500000000000000, q 6243314738319065296551324001 34717781683548010225313251328, q 1000000000000000 645995601733427),
  (q 362325 1048576, q 724653 2097152, q 1 1, q 161498806656143 250000000000000, q 246684710075187 500000000000000, q 16648965492430876943755414715 92580764031050917791605456896, q 250000000000000 161498806656143),
  (q 724653 2097152, q 45291 131072, q 1 1, q 322997425758447 500000000000000, q 246684744380443 500000000000000, q 15966459374290164252595219 88784856340781943087955968, q 500000000000000 322997425758447),
  (q 45291 131072, q 724659 2097152, q 1 1, q 645994476410393 1000000000000000, q 61671194671317 125000000000000, q 65399066215207433806154177103 363662560405655572906944495616, q 1000000000000000 645994476410393),
  (q 724659 2097152, q 362331 1048576, q 1 1, q 161498525326267 250000000000000, q 123342406494831 250000000000000, q 693722669456016069822337967 3857533443952091231005179904, q 250000000000000 161498525326267),
  (q 362331 1048576, q 724665 2097152, q 1 1, q 645993726200921 1000000000000000, q 123342423646813 250000000000000, q 49948410779120096549235558373 277742446587380440565100314624, q 1000000000000000 645993726200921),
  (q 724665 2097152, q 181167 524288, q 1 1, q 645993351097949 1000000000000000, q 493369763194319 1000000000000000, q 1021881438774553146125839147 5682217607985431854440251392, q 1000000000000000 645993351097949),
  (q 181167 524288, q 724671 2097152, q 1 1, q 129198595199231 200000000000000, q 123342457950131 250000000000000, q 49949167941354075678245580131 277742523831585521750914367488, q 200000000000000 129198595199231),
  (q 724671 2097152, q 362337 1048576, q 1 1, q 645992600895537 1000000000000000, q 123342475101467 250000000000000, q 6243693315662643241401289909 34717820306620091375500132352, q 1000000000000000 645992600895537),
  (q 362337 1048576, q 724677 2097152, q 1 1, q 157712945751 244140625000, q 493369969010351 1000000000000000, q 49949925111134951686697854745 277742601073851240347192000512, q 244140625000 157712945751),
  (q 724677 2097152, q 90585 262144, q 1 1, q 645991850697831 1000000000000000, q 493370037613973 1000000000000000, q 97559186911827104349898531 542466093152845800352514048, q 1000000000000000 645991850697831),
  (q 90585 262144, q 724683 2097152, q 1 1, q 645991475600743 1000000000000000, q 246685053108367 500000000000000, q 49950682288462748756144050247 277742678314178159303886635008, q 1000000000000000 645991475600743),
  (q 724683 2097152, q 362343 1048576, q 1 1, q 2523402736347 3906250000000, q 246685087409317 500000000000000, q 6243882609994596339602539915 34717839616701821114673790976, q 3906250000000 2523402736347),
  (q 362343 1048576, q 724689 2097152, q 1 1, q 645990725410097 1000000000000000, q 493370243419673 1000000000000000, q 50622671451678522930000781133 281474976710656000000000000000, q 1000000000000000 645990725410097),
  (q 724689 2097152, q 181173 524288, q 1 1, q 645990350316539 1000000000000000, q 493370312019851 1000000000000000, q 31639405059725220692912381 175921860444160000000000000, q 1000000000000000 645990350316539),
  (q 181173 524288, q 724695 2097152, q 1 1, q 322994987612079 500000000000000, q 493370380619167 1000000000000000, q 49952196665759324738389185403 277742832789015035348573487104, q 500000000000000 322994987612079),
  (q 724695 2097152, q 362349 1048576, q 1 1, q 645989600132953 1000000000000000, q 493370449217623 1000000000000000, q 6244071908100044816749023161 34717858925814080665311772672, q 1000000000000000 645989600132953),
  (q 362349 1048576, q 724701 2097152, q 1 1, q 25839569001717 40000000000000, q 246685258907609 500000000000000, q 65405347079154980731659379169 363659604148584064113809817600, q 40000000000000 25839569001717),
  (q 724701 2097152, q 22647 65536, q 1 1, q 322994424977037 500000000000000, q 493370586411951 1000000000000000, q 63518946925535525399537 353168422241278588092416, q 500000000000000 322994424977037),
  (q 22647 65536, q 724707 2097152, q 1 1, q 807485593583 1250000000000, q 30835665937989 62500000000000, q 1850137447157190028769038573 10286777305781359734626975744, q 1250000000000 807485593583),
  (q 724707 2097152, q 362355 1048576, q 1 1, q 322994049889951 500000000000000, q 123342680900709 250000000000000, q 6328163499832708687952314591 35184372088832000000000000000, q 500000000000000 322994049889951),
  (q 362355 1048576, q 724713 2097152, q 1 1, q 645987724694581 1000000000000000, q 493370792196987 1000000000000000, q 50625684655813658525031474421 281474976710656000000000000000, q 1000000000000000 645987724694581),
  (q 724713 2097152, q 181179 524288, q 1 1, q 161496837402609 250000000000000, q 123342715197569 250000000000000, q 780544482791702180596506359 4339735985958101268098449408, q 250000000000000 161496837402609),
  (q 181179 524288, q 724719 2097152, q 1 1, q 645986974527469 1000000000000000, q 98674185876541 200000000000000, q 9991045102183497925105138423 55548628343084638352590241792, q 1000000000000000 645986974527469),
  (q 724719 2097152, q 362361 1048576, q 1 1, q 322993299722839 500000000000000, q 493370997974273 1000000000000000, q 6244450515631603784904846085 34717897541130400307213238272, q 500000000000000 322993299722839),
  (q 362361 1048576, q 724725 2097152, q 1 1, q 80748278045633 125000000000000, q 24668553328249 50000000000000, q 9991196548214997424921178389 55548643788435702648512970752, q 125000000000000 80748278045633),
  (q 724725 2097152, q 90591 262144, q 1 1, q 322992924642813 500000000000000, q 246685567577413 500000000000000, q 97571018279265516879259783 542467299911775633042046976, q 500000000000000 322992924642813),
  (q 90591 262144, q 724731 2097152, q 1 1, q 129197094841473 200000000000000, q 493371203743811 1000000000000000, q 49956739978779728437498250999 277743296166995035082595500032, q 200000000000000 129197094841473),
  (q 724731 2097152, q 362367 1048576, q 1 1, q 322992549565141 500000000000000, q 15417852260373 31250000000000, q 6328540163619883034809718851 35184372088832000000000000000, q 500000000000000 322992549565141),
  (q 362367 1048576, q 724737 2097152, q 1 1, q 322992362027187 500000000000000, q 493371340919199 1000000000000000, q 16652499074677266477358544975 92581124463291106744332189696, q 500000000000000 322992362027187),
  (q 724737 2097152, q 181185 524288, q 1 1, q 161496087244911 250000000000000, q 246685704752801 500000000000000, q 791079291492050516508572349 4398046511104000000000000000, q 250000000000000 161496087244911),
  (q 181185 524288, q 724743 2097152, q 1 1, q 64598397390609 100000000000000, q 61671434761393 125000000000000, q 10125890266320203389401611343 56294995342131200000000000000, q 100000000000000 64598397390609),
  (q 724743 2097152, q 362373 1048576, q 1 1, q 645983598833713 1000000000000000, q 30835721667239 62500000000000, q 6244829138257648769826879649 34717936152569472513669595136, q 1000000000000000 645983598833713),
  (q 362373 1048576, q 724749 2097152, q 1 1, q 40373951485157 62500000000000, q 98674323051929 200000000000000, q 65412525690168529282220179985 363656225728055097531767455744, q 62500000000000 40373951485157),
  (q 724749 2097152, q 45297 131072, q 1 1, q 645982848692489 1000000000000000, q 123342920960651 250000000000000, q 2281423492270691648871385 12683315240736715958124544, q 1000000000000000 645982848692489),
  (q 45297 131072, q 724755 2097152, q 1 1, q 322991236811821 500000000000000, q 246685876212351 500000000000000, q 16653256335024078939909254181 92581201682292355565520683008, q 500000000000000 322991236811821),
  (q 724755 2097152, q 362379 1048576, q 1 1, q 161495524638993 250000000000000, q 24668591050297 50000000000000, q 6245018455231206465640065463 34717955456835225546559324160, q 250000000000000 161495524638993),
  (q 362379 1048576, q 724761 2097152, q 1 1, q 645981723489479 1000000000000000, q 493371889586317 1000000000000000, q 7137218040073420477076749363 39677668894571691734070198272, q 1000000000000000 645981723489479),
  (q 724761 2097152, q 181191 524288, q 1 1, q 322990674212081 500000000000000, q 246685979082917 500000000000000, q 1022105767363842283725825083 5682112031350286184869789696, q 500000000000000 322990674212081),
  (q 181191 524288, q 724767 2097152, q 1 1, q 645980973360023 1000000000000000, q 493372026744489 1000000000000000, q 16653761187834386900690888513 92581253158396126963597049856, q 1000000000000000 645980973360023),
  (q 724767 2097152, q 362385 1048576, q 1 1, q 32299029914853 50000000000000, q 123343023830571 250000000000000, q 2725652770573191139990583103 15152281155100049369496289280, q 50000000000000 32299029914853),
  (q 362385 1048576, q 724773 2097152, q 1 1, q 322990111617637 500000000000000, q 246686081949609 500000000000000, q 50633218196969222557609190489 281474976710656000000000000000, q 500000000000000 322990111617637),
  (q 724773 2097152, q 90597 262144, q 1 1, q 129195969634933 200000000000000, q 493372232475291 1000000000000000, q 2502124374105501997830733 13909448882779135823314944, q 200000000000000 129195969634933),
  (q 90597 262144, q 724779 2097152, q 1 1, q 20186858534851 31250000000000, q 61671537631313 125000000000000, q 49962798152124289334568259831 277743913895746748326501941248, q 31250000000000 20186858534851),
  (q 724779 2097152, q 362391 1048576, q 1 1, q 40373693628561 62500000000000, q 61671546203107 125000000000000, q 8177182660342347108214651355 45456737895289472035338584064, q 62500000000000 40373693628561),
  (q 362391 1048576, q 724785 2097152, q 1 1, q 645978722999897 1000000000000000, q 493372438198347 1000000000000000, q 16654518485918760431411080911 92581330367706192336637657088, q 1000000000000000 645978722999897),
  (q 724785 2097152, q 181197 524288, q 1 1, q 129195669588799 200000000000000, q 246686253385489 500000000000000, q 780686470521916598382276893 4339750464157468819323879424, q 200000000000000 129195669588799),
  (q 181197 524288, q 724791 2097152, q 1 1, q 64597797288927 100000000000000, q 123343143835687 250000000000000, q 49964312770935970439207351707 277744068308552731953647845376, q 100000000000000 64597797288927),
  (q 724791 2097152, q 362397 1048576, q 1 1, q 645977597835721 1000000000000000, q 246686321956829 500000000000000, q 8177407012971972325153444753 45456632326603769046309535744, q 1000000000000000 645977597835721),
  (q 362397 1048576, q 724797 2097152, q 1 1, q 12919544455667 20000000000000, q 246686356241853 500000000000000, q 16655023363887790717243467883 92581381837349550069251047424, q 20000000000000 12919544455667),
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  (q 181269 524288, q 725079 2097152, q 1 1, q 129188394623081 200000000000000, q 493379154227457 1000000000000000, q 65461892525382479038952947131 363633003678187612903162511360, q 200000000000000 129188394623081),
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  (q 725949 2097152, q 11343 32768, q 1 1, q 161458228774683 250000000000000, q 246699524062463 500000000000000, q 95579137712926146799727 529783193893521823105024, q 250000000000000 161458228774683),
  (q 11343 32768, q 725955 2097152, q 1 1, q 322916270250443 500000000000000, q 98679823272743 200000000000000, q 50781783632487361396108687999 281474976710656000000000000000, q 500000000000000 322916270250443),
  (q 725955 2097152, q 362979 1048576, q 1 1, q 645832165904217 1000000000000000, q 30837449037603 62500000000000, q 2733062756461608966361645573 15148799488073500172218269696, q 1000000000000000 645832165904217),
  (q 362979 1048576, q 725961 2097152, q 1 1, q 645831791308727 1000000000000000, q 19735970113549 40000000000000, q 65593955643091614687087895973 363570976835250356799693389824, q 1000000000000000 645831791308727),
  (q 725961 2097152, q 181491 524288, q 1 1, q 40364463544651 62500000000000, q 246699660537473 500000000000000, q 783008008199542196950557871 4339986325269497108410400768, q 62500000000000 40364463544651),
  (q 181491 524288, q 725967 2097152, q 1 1, q 322915521060641 500000000000000, q 61674923663789 125000000000000, q 50112891922377078843914953795 277759163230343926324442169344, q 500000000000000 322915521060641),
  (q 725967 2097152, q 362985 1048576, q 1 1, q 645830667529327 1000000000000000, q 246699728772411 500000000000000, q 2088052971744684567719130847 11573300068456589689603751936, q 1000000000000000 645830667529327),
  (q 362985 1048576, q 725973 2097152, q 1 1, q 12916605858771 20000000000000, q 493399525778477 1000000000000000, q 2031361933078000280607497937 11258999068426240000000000000, q 20000000000000 12916605858771),
  (q 725973 2097152, q 90747 262144, q 1 1, q 645829918348951 1000000000000000, q 19735983760451 40000000000000, q 97878965090878928816711461 542498590755354516547174400, q 1000000000000000 645829918348951),
  (q 90747 262144, q 725979 2097152, q 1 1, q 645829543760531 1000000000000000, q 246699831121609 500000000000000, q 50114409531692273403084402167 277759316877910646167768662016, q 1000000000000000 645829543760531),
  (q 725979 2097152, q 362991 1048576, q 1 1, q 80728646146661 125000000000000, q 98679946094861 200000000000000, q 6264348617342935843401186371 34719919411074736837906923520, q 125000000000000 80728646146661),
  (q 362991 1048576, q 725985 2097152, q 1 1, q 80728599323403 125000000000000, q 493399798704537 1000000000000000, q 21865850539798614969285108367 121189763277006608768534839296, q 125000000000000 80728599323403),
  (q 725985 2097152, q 181497 524288, q 1 1, q 645828420002339 1000000000000000, q 493399866933913 1000000000000000, q 783055433726764383924609505 4339991126695747846777339904, q 1000000000000000 645828420002339),
  (q 181497 524288, q 725991 2097152, q 1 1, q 80728505677329 125000000000000, q 493399935162433 1000000000000000, q 50115927171231126129331199371 277759470517770018198803972096, q 125000000000000 80728505677329),
  (q 725991 2097152, q 362997 1048576, q 1 1, q 322913835418051 500000000000000, q 246700001695049 500000000000000, q 8199862517950258183397610313 45446082151922254907313225728, q 500000000000000 322913835418051),
  (q 362997 1048576, q 725997 2097152, q 1 1, q 20182103007961 31250000000000, q 493400071616907 1000000000000000, q 16705562000778175981078736315 92586515778269933542811107328, q 31250000000000 20182103007961),
  (q 725997 2097152, q 45375 131072, q 1 1, q 645826921674579 1000000000000000, q 493400139842861 1000000000000000, q 16015575969181541400270553 88761776238997451506188288, q 1000000000000000 645826921674579),
  (q 45375 131072, q 726003 2097152, q 1 1, q 129165309419117 200000000000000, q 493400208067959 1000000000000000, q 10157564593910954933180118707 56294995342131200000000000000, q 200000000000000 129165309419117),
  (q 726003 2097152, q 363003 1048576, q 1 1, q 645826172517769 1000000000000000, q 493400276292201 1000000000000000, q 2088242677631550646049802853 11573319273198209350907199488, q 1000000000000000 645826172517769),
  (q 363003 1048576, q 726009 2097152, q 1 1, q 645825797941131 1000000000000000, q 123350086128897 250000000000000, q 21867049241352670073570808103 121189200956413783933005594624, q 1000000000000000 645825797941131),
  (q 726009 2097152, q 181503 524288, q 1 1, q 80728177920709 125000000000000, q 493400412738119 1000000000000000, q 783102861142981190065934867 4339995927640315735155146752, q 125000000000000 80728177920709),
  (q 181503 524288, q 726015 2097152, q 1 1, q 645825048791391 1000000000000000, q 98680096191959 200000000000000, q 10023792508196228014361488199 55551955554873906714753630208, q 1000000000000000 645825048791391),
  (q 726015 2097152, q 363009 1048576, q 1 1, q 40364042138643 62500000000000, q 98680109836123 200000000000000, q 6264917746337564577588205837 34719977022409621867184783360, q 62500000000000 40364042138643),
  (q 363009 1048576, q 726021 2097152, q 1 1, q 161456074911591 250000000000000, q 24670030870029 50000000000000, q 16706573800769651955891925811 92586618194567698030337720320, q 250000000000000 161456074911591),
  (q 726021 2097152, q 90753 262144, q 1 1, q 322911962537809 500000000000000, q 493400685619689 1000000000000000, q 32630273981644816305337371 180833263663832895888293888, q 500000000000000 322911962537809),
  (q 90753 262144, q 726027 2097152, q 1 1, q 12916471010121 20000000000000, q 493400753837943 1000000000000000, q 16706826757064323998374434749 92586643797036746622550147072, q 20000000000000 12916471010121),
  (q 726027 2097152, q 363015 1048576, q 1 1, q 32291158796883 50000000000000, q 246700411027671 500000000000000, q 2733512267538881999361650489 15148588617187895076276142080, q 50000000000000 32291158796883),
  (q 363015 1048576, q 726033 2097152, q 1 1, q 645822801370449 1000000000000000, q 123350222567971 250000000000000, q 1022882431584351608369578141 5668571595848795324564897792, q 1000000000000000 645822801370449),
  (q 726033 2097152, q 181509 524288, q 1 1, q 10090975418819 15625000000000, q 123350239621893 250000000000000, q 1025081148363034184117570265 5680714141999760401160470528, q 15625000000000 10090975418819)
]

/-- Cells `(a, b, w₀, w₁, w₂, λ, c)`, sorted by `a`: chunk 6. -/
def cells6 : List (ℚ × ℚ × ℚ × ℚ × ℚ × ℚ × ℚ) := [
  (q 181509 524288, q 726039 2097152, q 1 1, q 322911026119781 500000000000000, q 123350256675601 250000000000000, q 50792352791212383111119048443 281474976710656000000000000000, q 500000000000000 322911026119781),
  (q 726039 2097152, q 363021 1048576, q 1 1, q 322910838837943 500000000000000, q 24670054745819 50000000000000, q 6265297184557711299828292097 34720015425150057753943736320, q 500000000000000 322910838837943),
  (q 363021 1048576, q 726045 2097152, q 1 1, q 161455325778347 250000000000000, q 246700581564751 500000000000000, q 50793107788060789066420601537 281474976710656000000000000000, q 250000000000000 161455325778347),
  (q 726045 2097152, q 22689 65536, q 1 1, q 161455232138017 250000000000000, q 493401231341767 1000000000000000, q 218519532870887713606169 1210938372810868265058304, q 250000000000000 161455232138017),
  (q 22689 65536, q 726051 2097152, q 1 1, q 645820553991927 1000000000000000, q 246700649776589 500000000000000, q 65607441216086316770969140127 363564650788281216272877748224, q 1000000000000000 645820553991927),
  (q 726051 2097152, q 363027 1048576, q 1 1, q 129164035886593 200000000000000, q 493401367763733 1000000000000000, q 1269856007439217524922599179 7036874417766400000000000000, q 200000000000000 129164035886593),
  (q 363027 1048576, q 726057 2097152, q 1 1, q 32290990243759 50000000000000, q 61675179496679 125000000000000, q 50124274728957590736727735333 277760315399251999441534582784, q 50000000000000 32290990243759),
  (q 726057 2097152, q 181515 524288, q 1 1, q 322909715159287 500000000000000, q 493401504182277 1000000000000000, q 1025137341760407712123404039 5680687784631554439896891392, q 500000000000000 322909715159287),
  (q 181515 524288, q 726063 2097152, q 1 1, q 322909527881573 500000000000000, q 246700786195133 500000000000000, q 65609239428870784338019963907 363563807360458737853820567552, q 500000000000000 322909527881573),
  (q 726063 2097152, q 363033 1048576, q 1 1, q 645818681208897 1000000000000000, q 2467008202987 5000000000000, q 8201211123385154610144608261 45445449563145213693665476608, q 1000000000000000 645818681208897),
  (q 363033 1048576, q 726069 2097152, q 1 1, q 322909153327913 500000000000000, q 246700854401839 500000000000000, q 65610138547297406322481784809 363563385650527836289957363712, q 500000000000000 322909153327913),
  (q 726069 2097152, q 90759 262144, q 1 1, q 322908966051967 500000000000000, q 493401777009101 1000000000000000, q 3968476981861880471509183 21990232555520000000000000, q 500000000000000 322908966051967),
  (q 90759 262144, q 726075 2097152, q 1 1, q 32290877877661 50000000000000, q 493401845213669 1000000000000000, q 10159376577237179806752334651 56294995342131200000000000000, q 50000000000000 32290877877661),
  (q 726075 2097152, q 363039 1048576, q 1 1, q 161454295750921 250000000000000, q 493401913417381 1000000000000000, q 6265866370224348959950933619 34720073022037606284849577984, q 250000000000000 161454295750921),
  (q 363039 1048576, q 726081 2097152, q 1 1, q 322908404227663 500000000000000, q 493401981620239 1000000000000000, q 65611936808219600068708557581 363562542238626145503608307712, q 500000000000000 322908404227663),
  (q 726081 2097152, q 181521 524288, q 1 1, q 645816433908147 1000000000000000, q 493402049822241 1000000000000000, q 341731179054502858484623239 1893553809308901944634376192, q 1000000000000000 645816433908147),
  (q 181521 524288, q 726087 2097152, q 1 1, q 322908029681073 500000000000000, q 493402118023387 1000000000000000, q 50128069375633568342813716939 277760699359242397699480223744, q 500000000000000 322908029681073),
  (q 726087 2097152, q 363045 1048576, q 1 1, q 161453921204331 250000000000000, q 493402186223679 1000000000000000, q 911295632291274355959974641 5049470967870350794271227904, q 250000000000000 161453921204331),
  (q 363045 1048576, q 726093 2097152, q 1 1, q 8072691378421 12500000000000, q 98680450884623 200000000000000, q 10025765665527717099091913309 55552155229092584395821285376, q 12500000000000 8072691378421),
  (q 726093 2097152, q 45381 131072, q 1 1, q 129162987146243 200000000000000, q 493402322621697 1000000000000000, q 155027849022855914530373 858993459200000000000000, q 200000000000000 129162987146243),
  (q 45381 131072, q 726099 2097152, q 1 1, q 80726820148741 125000000000000, q 493402390819423 1000000000000000, q 50799903101348104627552585487 281474976710656000000000000000, q 125000000000000 80726820148741),
  (q 726099 2097152, q 363051 1048576, q 1 1, q 645814186649819 1000000000000000, q 246701229508147 500000000000000, q 8201885480256950504795073575 45445133286667262514289442816, q 1000000000000000 645814186649819),
  (q 363051 1048576, q 726105 2097152, q 1 1, q 645813812110889 1000000000000000, q 493402527212309 1000000000000000, q 50130346254318772807564493381 277760929712126978116349329408, q 1000000000000000 645813812110889),
  (q 726105 2097152, q 181527 524288, q 1 1, q 645813437573137 1000000000000000, q 49340259540747 100000000000000, q 1025249734572380049643726947 5680635071885232175365226496, q 1000000000000000 645813437573137),
  (q 181527 524288, q 726111 2097152, q 1 1, q 161453265759141 250000000000000, q 19736106544071 40000000000000, q 5570122803221558186746325627 30862334054730056663774003200, q 250000000000000 161453265759141),
  (q 726111 2097152, q 363057 1048576, q 1 1, q 645812688501169 1000000000000000, q 246701365897613 500000000000000, q 6350223849689192637324658277 35184372088832000000000000000, q 1000000000000000 645812688501169),
  (q 363057 1048576, q 726117 2097152, q 1 1, q 80726539245869 125000000000000, q 493402799987821 1000000000000000, q 65617331783541017014165881977 363560012066605349575300481024, q 125000000000000 80726539245869),
  (q 726117 2097152, q 90765 262144, q 1 1, q 322905969716957 500000000000000, q 493402868179561 1000000000000000, q 11650884477602196862638539 64552521524014391465345024, q 500000000000000 322905969716957),
  (q 90765 262144, q 726123 2097152, q 1 1, q 322905782451027 500000000000000, q 246701468185223 500000000000000, q 65618230974175946755240673399 363559590380555910935476174848, q 500000000000000 322905782451027),
  (q 726123 2097152, q 363063 1048576, q 1 1, q 645811190371373 1000000000000000, q 123350751140119 250000000000000, q 8202335071562773183859258635 45444922442315810891651612672, q 1000000000000000 645811190371373),
  (q 363063 1048576, q 726129 2097152, q 1 1, q 64581081584187 100000000000000, q 493403072749651 1000000000000000, q 65619130172834252785826666333 363559168697160218376079933440, q 100000000000000 64581081584187),
  (q 726129 2097152, q 181533 524288, q 1 1, q 322905220656773 500000000000000, q 493403140937971 1000000000000000, q 1025305933987065548167401425 5680608716507151056469229568, q 500000000000000 322905220656773),
  (q 181533 524288, q 726135 2097152, q 1 1, q 807262583483 1250000000000, q 98680641825087 200000000000000, q 1114092026739192924388354247 6172473635446433271058006016, q 1250000000000 807262583483),
  (q 726135 2097152, q 363069 1048576, q 1 1, q 645809692260433 1000000000000000, q 98680655462409 200000000000000, q 696312787618735584838384033 3857796555288033620205240320, q 1000000000000000 645809692260433),
  (q 363069 1048576, q 726141 2097152, q 1 1, q 161452329433911 250000000000000, q 2467016727489 5000000000000, q 50805188770195549371985909089 281474976710656000000000000000, q 250000000000000 161452329433911),
  (q 726141 2097152, q 5673 16384, q 1 1, q 645808943212033 1000000000000000, q 4934034136827 10000000000000, q 125162846001782454568485 693432072640000732168192, q 1000000000000000 645808943212033),
  (q 5673 16384, q 726147 2097152, q 1 1, q 645808568689601 1000000000000000, q 98680696373349 200000000000000, q 65621827816949790217026598527 363557903662895054230506176512, q 1000000000000000 645808568689601),
  (q 726147 2097152, q 363075 1048576, q 1 1, q 161452048542087 250000000000000, q 246701775024967 500000000000000, q 6267004843572828838716983167 34720188189815041178967474176, q 250000000000000 161452048542087),
  (q 363075 1048576, q 726153 2097152, q 1 1, q 40362988728017 62500000000000, q 49340361823227 100000000000000, q 65622727047701971803490659333 363557481990113783042868772864, q 62500000000000 40362988728017),
  (q 726153 2097152, q 181539 524288, q 1 1, q 20181482660293 31250000000000, q 493403686413749 1000000000000000, q 783387465311485669392122687 4340024723195681750533537792, q 31250000000000 20181482660293),
  (q 181539 524288, q 726159 2097152, q 1 1, q 322903535305829 500000000000000, q 246701877297187 500000000000000, q 50137177298445238203370623491 277761620666803300020086898688, q 500000000000000 322903535305829),
  (q 726159 2097152, q 363081 1048576, q 1 1, q 322903348047559 500000000000000, q 98680764554829 200000000000000, q 10161566348827241465139589 56294995342131200000000000, q 500000000000000 322903348047559),
  (q 363081 1048576, q 726165 2097152, q 1 1, q 645806321579757 1000000000000000, q 24670194547653 50000000000000, q 50808209319434930659846683033 281474976710656000000000000000, q 1000000000000000 645806321579757),
  (q 726165 2097152, q 90771 262144, q 1 1, q 322902973532787 500000000000000, q 6167549489139 12500000000000, q 32642132724812138783242153 180834463418460243272663040, q 500000000000000 322902973532787),
  (q 90771 262144, q 726171 2097152, q 1 1, q 64580557255257 100000000000000, q 246702013654163 500000000000000, q 10161792895145419775321647419 56294995342131200000000000000, q 100000000000000 64580557255257),
  (q 726171 2097152, q 363087 1048576, q 1 1, q 80725649755093 125000000000000, q 123351023871169 250000000000000, q 6267384364916929510565224163 34720226571372866587133476864, q 125000000000000 80725649755093),
  (q 363087 1048576, q 726177 2097152, q 1 1, q 645804823530097 1000000000000000, q 123351040915043 250000000000000, q 2032388785584491178715146373 11258999068426240000000000000, q 1000000000000000 645804823530097),
  (q 726177 2097152, q 181545 524288, q 1 1, q 161451112255157 250000000000000, q 493404231834813 1000000000000000, q 793907769131285246265459893 4398046511104000000000000000, q 250000000000000 161451112255157),
  (q 181545 524288, q 726183 2097152, q 1 1, q 322902037256169 500000000000000, q 493404300008599 1000000000000000, q 50810474811090512791151985003 281474976710656000000000000000, q 500000000000000 322902037256169),
  (q 726183 2097152, q 363093 1048576, q 1 1, q 322901850002613 500000000000000, q 49340436818153 100000000000000, q 6351356549959628823034329177 35184372088832000000000000000, q 500000000000000 322901850002613),
  (q 363093 1048576, q 726189 2097152, q 1 1, q 645803325499293 1000000000000000, q 246702218176803 500000000000000, q 16713657529152841746145208043 92587334821043732989842817024, q 1000000000000000 645803325499293),
  (q 726189 2097152, q 45387 131072, q 1 1, q 322901475497269 500000000000000, q 123351126131207 250000000000000, q 12241541046570102759948785 67812998740263048960802816, q 500000000000000 322901475497269),
  (q 45387 131072, q 726195 2097152, q 1 1, q 322901288245481 500000000000000, q 98680914539039 200000000000000, q 50811985176826299063846403663 281474976710656000000000000000, q 500000000000000 322901288245481),
  (q 726195 2097152, q 363099 1048576, q 1 1, q 161450550497141 250000000000000, q 493404640864707 1000000000000000, q 8203683941762249095451232519 45444289941105353457712234496, q 250000000000000 161450550497141),
  (q 363099 1048576, q 726201 2097152, q 1 1, q 129160365497469 200000000000000, q 123351177258341 250000000000000, q 50142490755965098576988978021 277762157968188264004156653568, q 200000000000000 129160365497469),
  (q 726201 2097152, q 181551 524288, q 1 1, q 80725181623413 125000000000000, q 493404777201167 1000000000000000, q 1025474544266437161767431939 5680529654353412471214047232, q 125000000000000 80725181623413),
  (q 181551 524288, q 726207 2097152, q 1 1, q 322900539244221 500000000000000, q 98680969073623 200000000000000, q 65630820485537957785436233459 363553687054501478923348475904, q 500000000000000 322900539244221),
  (q 726207 2097152, q 363105 1048576, q 1 1, q 645800703990759 1000000000000000, q 1927362943493 3906250000000, q 8203908767503743248284097693 45444184528881034710510206976, q 1000000000000000 645800703990759),
  (q 363105 1048576, q 726213 2097152, q 1 1, q 322900164747127 500000000000000, q 246702490849723 500000000000000, q 50144008954701471937692689657 277762311465546425475794993152, q 500000000000000 322900164747127),
  (q 726213 2097152, q 90777 262144, q 1 1, q 40362497187433 62500000000000, q 49340504986383 100000000000000, q 99247321074118087729693589 549755813888000000000000000, q 62500000000000 40362497187433),
  (q 90777 262144, q 726219 2097152, q 1 1, q 32289979025239 50000000000000, q 493405118027359 1000000000000000, q 10163001199883266033438518379 56294995342131200000000000000, q 50000000000000 32289979025239),
  (q 726219 2097152, q 363111 1048576, q 1 1, q 64579920601181 100000000000000, q 493405186190033 1000000000000000, q 6268143452949030070093919899 34720303322939106527818022912, q 100000000000000 64579920601181),
  (q 363111 1048576, q 726225 2097152, q 1 1, q 32289941576001 50000000000000, q 493405254351853 1000000000000000, q 50145527183667972581419795837 277762464955206246334396891136, q 50000000000000 32289941576001),
  (q 726225 2097152, q 181557 524288, q 1 1, q 20181201782169 31250000000000, q 246702661256409 500000000000000, q 15363329272559158934372147 85098806166182082792914944, q 31250000000000 20181201782169),
  (q 181557 524288, q 726231 2097152, q 1 1, q 322899041269987 500000000000000, q 493405390672929 1000000000000000, q 50816516456271220722537032699 281474976710656000000000000000, q 500000000000000 322899041269987),
  (q 726231 2097152, q 363117 1048576, q 1 1, q 645797708051719 1000000000000000, q 61675682354023 125000000000000, q 6268333234403944350086938537 34720322508424882294857138176, q 1000000000000000 645797708051719),
  (q 363117 1048576, q 726237 2097152, q 1 1, q 322898666782321 500000000000000, q 246702763495293 500000000000000, q 65635317120728193046875694977 363551578849822702560612450304, q 500000000000000 322898666782321),
  (q 726237 2097152, q 22695 65536, q 1 1, q 80724619884843 125000000000000, q 123351398787033 250000000000000, q 510125986861040100663997 2825547859766190953988096, q 125000000000000 80724619884843),
  (q 22695 65536, q 726243 2097152, q 1 1, q 25831863383761 40000000000000, q 61675707913103 125000000000000, q 50147804583799905368899449871 277762695175262222291554009088, q 40000000000000 25831863383761),
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  (q 90903 262144, q 363615 1048576, q 1 1, q 322836721561019 500000000000000, q 123357010135021 250000000000000, q 6284098272133585236567729347 34721911554851192129009483776, q 500000000000000 322836721561019),
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  (q 181809 524288, q 363621 1048576, q 1 1, q 322835973373373 500000000000000, q 24671415601821 50000000000000, q 8223258794728816538394996249 45435124043316062853837881344, q 500000000000000 322835973373373),
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  (q 363627 1048576, q 181815 524288, q 1 1, q 322834851109601 500000000000000, q 49342871925541 100000000000000, q 1027949569831866605423175755 5679370762341439924670038016, q 500000000000000 322834851109601),
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  (q 363639 1048576, q 181821 524288, q 1 1, q 16141667739547 25000000000000, q 123357315541611 250000000000000, q 159216179233117824069505421 879609302220800000000000000, q 25000000000000 16141667739547),
  (q 181821 524288, q 363645 1048576, q 1 1, q 645665961434347 1000000000000000, q 4934293978857 10000000000000, q 6368741740962147092174420921 35184372088832000000000000000, q 1000000000000000 645665961434347),
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  (q 2841 8192, q 363651 1048576, q 1 1, q 645664465153439 1000000000000000, q 61678708664251 125000000000000, q 8224384709620848579325517519 45434597572990601247636586496, q 1000000000000000 645664465153439),
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  (q 181827 524288, q 363657 1048576, q 1 1, q 64566296889141 100000000000000, q 246714970364357 500000000000000, q 6285429044714563424984510357 34722045268738785904842244096, q 100000000000000 64566296889141),
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  (q 181833 524288, q 363669 1048576, q 1 1, q 645659976423983 1000000000000000, q 12335762087933 25000000000000, q 8225060306746872786592656569 45434281706735829238742515712, q 1000000000000000 645659976423983),
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  (q 45459 131072, q 363675 1048576, q 1 1, q 645658480218587 1000000000000000, q 246715377445611 500000000000000, q 8225285513820940786067499447 45434176420641080874283040768, q 1000000000000000 645658480218587),
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  (q 363729 1048576, q 90933 262144, q 1 1, q 161411066802229 250000000000000, q 493433332265113 1000000000000000, q 98246966958320714166422801 542535686357750255806578688, q 250000000000000 161411066802229),
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  (q 181869 524288, q 363741 1048576, q 1 1, q 645642023205253 1000000000000000, q 123358434776683 250000000000000, q 8227763056707919291922266129 45433018361279852222970068992, q 1000000000000000 645642023205253),
  (q 363741 1048576, q 11367 32768, q 1 1, q 645641275213473 1000000000000000, q 493433874713809 1000000000000000, q 767600858726069211488317 4238564709268742029180928, q 1000000000000000 645641275213473),
  (q 11367 32768, q 363747 1048576, q 1 1, q 645640527226413 1000000000000000, q 493434010317489 1000000000000000, q 2096093774795427290594201229 11574110546863400724287455232, q 1000000000000000 645640527226413),
  (q 363747 1048576, q 181875 524288, q 1 1, q 645639779244073 1000000000000000, q 493434145917771 1000000000000000, q 262015683959766653721125777 1446764215942156527081619456, q 1000000000000000 645639779244073),
  (q 181875 524288, q 363753 1048576, q 1 1, q 645639031266453 1000000000000000, q 15419821297333 31250000000000, q 1175459081609261096829649955 6490401117471977113707872256, q 1000000000000000 645639031266453),
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  (q 90939 262144, q 363759 1048576, q 1 1, q 5165100282603 8000000000000, q 493434552698233 1000000000000000, q 6288661692653580528268950779 34722369807242023599930867712, q 8000000000000 5165100282603),
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  (q 363765 1048576, q 45471 131072, q 1 1, q 645635291449161 1000000000000000, q 493434959448121 1000000000000000, q 3111630857508968582542839 17179869184000000000000000, q 1000000000000000 645635291449161),
  (q 45471 131072, q 363771 1048576, q 1 1, q 645634543499863 1000000000000000, q 493435095024623 1000000000000000, q 8228889373225274948835270935 45432492023804739018431660032, q 1000000000000000 645634543499863),
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  (q 181887 524288, q 363777 1048576, q 1 1, q 64563304761543 100000000000000, q 123358841541859 250000000000000, q 6289232273429128617382306493 34722427050048265915155349504, q 100000000000000 64563304761543),
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  (q 181893 524288, q 363789 1048576, q 1 1, q 161407513975803 250000000000000, q 246717954206153 500000000000000, q 6373282296952567567628025969 35184372088832000000000000000, q 250000000000000 161407513975803),
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  (q 363801 1048576, q 90951 262144, q 1 1, q 645626316369153 1000000000000000, q 493436586141979 1000000000000000, q 98282628256836197337453581 542539264033199774136008704, q 1000000000000000 645626316369153),
  (q 90951 262144, q 363807 1048576, q 1 1, q 645625568476503 1000000000000000, q 493436721677727 1000000000000000, q 2743413695200254092910051649 15143953487560643540013809664, q 1000000000000000 645625568476503),
  (q 363807 1048576, q 181905 524288, q 1 1, q 25824992823543 40000000000000, q 246718428605039 500000000000000, q 786284803327732631911207033 4340316496605812350175412224, q 40000000000000 25824992823543),
  (q 181905 524288, q 363813 1048576, q 1 1, q 645624072705367 1000000000000000, q 246718496369517 500000000000000, q 2096791179044295532874075195 11574180503282977410427912192, q 1000000000000000 645624072705367),
  (q 363813 1048576, q 45477 131072, q 1 1, q 504393222521 781250000000, q 98687425652919 200000000000000, q 91007937624274049750591 502351722317888654147584, q 781250000000 504393222521),
  (q 45477 131072, q 363819 1048576, q 1 1, q 322811288476557 500000000000000, q 493437263786761 1000000000000000, q 8230691688528552975438596503 45431649952937868580614045696, q 500000000000000 322811288476557),
  (q 363819 1048576, q 181911 524288, q 1 1, q 645621829084069 1000000000000000, q 493437399305531 1000000000000000, q 786332359292680490615946671 4340321264927843854160232448, q 1000000000000000 645621829084069),
  (q 181911 524288, q 363825 1048576, q 1 1, q 129124216243949 200000000000000, q 246718767410453 500000000000000, q 6290753988636139903579431653 34722579655469506348485443584, q 200000000000000 129124216243949),
  (q 363825 1048576, q 90957 262144, q 1 1, q 322810166680071 500000000000000, q 493437670332887 1000000000000000, q 128609838301083868319630537 709867063658093486058504192, q 500000000000000 322810166680071),
  (q 90957 262144, q 363831 1048576, q 1 1, q 32280979275263 50000000000000, q 7709965716273 15625000000000, q 8231142307524900036682971387 45431439448509109632646512640, q 50000000000000 32280979275263),
  (q 363831 1048576, q 181917 524288, q 1 1, q 645618837655099 1000000000000000, q 493437941346663 1000000000000000, q 35479547262003187489731885 195824943203588133615566848, q 1000000000000000 645618837655099),
  (q 181917 524288, q 363837 1048576, q 1 1, q 32280904490483 50000000000000, q 493438076848459 1000000000000000, q 1274959260431450716202809741 7036874417766400000000000000, q 50000000000000 32280904490483),
  (q 363837 1048576, q 5685 16384, q 1 1, q 645617341968941 1000000000000000, q 24671910617343 50000000000000, q 194546232164332138924301 1073741824000000000000000, q 1000000000000000 645617341968941),
  (q 5685 16384, q 363843 1048576, q 1 1, q 645616594132943 1000000000000000, q 493438347841867 1000000000000000, q 8231592942590151021526272271 45431228949395794513627185152, q 1000000000000000 645616594132943),
  (q 363843 1048576, q 181923 524288, q 1 1, q 645615846301667 1000000000000000, q 493438483333479 1000000000000000, q 262142492299389752263120569 1446776933379504378472300544, q 1000000000000000 645615846301667),
  (q 181923 524288, q 363849 1048576, q 1 1, q 80701887309389 125000000000000, q 493438618821697 1000000000000000, q 6291514937047638461151525509 34722655935243856612905975808, q 125000000000000 80701887309389),
  (q 363849 1048576, q 90963 262144, q 1 1, q 322807175326639 500000000000000, q 493438754306521 1000000000000000, q 98306407185248346102319787 542541647955324634761527296, q 500000000000000 322807175326639),
  (q 90963 262144, q 363855 1048576, q 1 1, q 129122720567233 200000000000000, q 493438889787951 1000000000000000, q 2097235061203375389620141721 11574225000932955039610175488, q 200000000000000 129122720567233),
  (q 363855 1048576, q 181929 524288, q 1 1, q 645612855023773 1000000000000000, q 493439025265987 1000000000000000, q 1029019532377391744859594317 5678870729122394803256950784, q 1000000000000000 645612855023773),
  (q 181929 524288, q 363861 1048576, q 1 1, q 645612107216103 1000000000000000, q 493439160740629 1000000000000000, q 8232268925317975130775771001 45430913210692534101073723392, q 1000000000000000 645612107216103),
  (q 363861 1048576, q 45483 131072, q 1 1, q 322805679706577 500000000000000, q 493439296211877 1000000000000000, q 16078870298088232008044187 88732149587379141830770688, q 500000000000000 322805679706577),
  (q 45483 131072, q 363867 1048576, q 1 1, q 645610611614927 1000000000000000, q 123359857919933 250000000000000, q 6375742678962499772021635711 35184372088832000000000000000, q 1000000000000000 645610611614927),
  (q 363867 1048576, q 181935 524288, q 1 1, q 645609863821421 1000000000000000, q 1927498309157 3906250000000, q 786522602071390484869513847 4340340333438363148994215936, q 1000000000000000 645609863821421),
  (q 181935 524288, q 363873 1048576, q 1 1, q 161402279008159 250000000000000, q 24671985130263 50000000000000, q 8232719600556994972864575213 45430702724868356320006242304, q 250000000000000 161402279008159),
  (q 363873 1048576, q 90969 262144, q 1 1, q 645608368248573 1000000000000000, q 246719919031467 500000000000000, q 3985016631586180783904871 21990232555520000000000000, q 1000000000000000 645608368248573),
  (q 90969 262144, q 363879 1048576, q 1 1, q 645607620469231 1000000000000000, q 246719986758607 500000000000000, q 6292466207699775765254378371 34722751263466131014178308096, q 1000000000000000 645607620469231),
  (q 363879 1048576, q 181941 524288, q 1 1, q 645606872694611 1000000000000000, q 246720054484051 500000000000000, q 1029132202191531633754184449 5678818107998596383624921088, q 1000000000000000 645606872694611),
  (q 181941 524288, q 363885 1048576, q 1 1, q 80700765615589 125000000000000, q 123360061103899 250000000000000, q 8233170291866126206886495281 45430492244360044580352032768, q 125000000000000 80700765615589),
  (q 363885 1048576, q 22743 65536, q 1 1, q 129121075431907 200000000000000, q 493440379859697 1000000000000000, q 1024210873590924502895879 5651494117395241822584832, q 200000000000000 129121075431907),
  (q 22743 65536, q 363891 1048576, q 1 1, q 16140115734977 25000000000000, q 246720257650203 500000000000000, q 51011998790718912890933147 281474976710656000000000000, q 25000000000000 16140115734977),
  (q 363891 1048576, q 181947 524288, q 1 1, q 322801940821673 500000000000000, q 493440650737721 1000000000000000, q 786617734812675496046981999 4340349864827842495636307968, q 500000000000000 322801940821673),
  (q 181947 524288, q 363897 1048576, q 1 1, q 322801566946167 500000000000000, q 123360196542911 250000000000000, q 6376689150814154302287914757 35184372088832000000000000000, q 500000000000000 322801566946167),
  (q 363897 1048576, q 90975 262144, q 1 1, q 645602386146043 1000000000000000, q 246720460801087 500000000000000, q 98330189897568181653245833 542544030922095936640385024, q 1000000000000000 645602386146043),
  (q 90975 262144, q 363903 1048576, q 1 1, q 322800819202237 500000000000000, q 7710016516083 15625000000000, q 6376878456590503938352734403 35184372088832000000000000000, q 500000000000000 322800819202237),
  (q 363903 1048576, q 181953 524288, q 1 1, q 645600890667627 1000000000000000, q 493441192453057 1000000000000000, q 786665304021445328162602105 4340354629806329508298489856, q 1000000000000000 645600890667627),
  (q 181953 524288, q 363909 1048576, q 1 1, q 645600142935501 1000000000000000, q 49344132787341 100000000000000, q 2744690574232037353601959651 15143357099763860725078949888, q 1000000000000000 645600142935501),
  (q 363909 1048576, q 45489 131072, q 1 1, q 322799697604049 500000000000000, q 493441463290371 1000000000000000, q 12455395356218724195508927 68719476736000000000000000, q 500000000000000 322799697604049),
  (q 45489 131072, q 363915 1048576, q 1 1, q 80699830935677 125000000000000, q 24672079935197 50000000000000, q 6377257079549555575321053143 35184372088832000000000000000, q 125000000000000 80699830935677),
  (q 363915 1048576, q 181959 524288, q 1 1, q 20174934367733 31250000000000, q 123360433528529 250000000000000, q 786712875122355223450243499 4340359394307390979994288128, q 31250000000000 20174934367733),
  (q 181959 524288, q 363921 1048576, q 1 1, q 322798576027109 500000000000000, q 493441869520901 1000000000000000, q 255097855869293532814984661 1407374883553280000000000000, q 500000000000000 322798576027109),
  (q 363921 1048576, q 90981 262144, q 1 1, q 645596404345701 1000000000000000, q 246721002462147 500000000000000, q 42888724737547921601086031 236613584476158128912596992, q 1000000000000000 645596404345701),
  (q 90981 262144, q 363927 1048576, q 1 1, q 645595656641907 1000000000000000, q 98688428064859 200000000000000, q 8234747838005220307060210955 45429755604445360096435765248, q 1000000000000000 645595656641907),
  (q 363927 1048576, q 181965 524288, q 1 1, q 129118981788567 200000000000000, q 61680284465113 125000000000000, q 786760448115446612772687869 4340364158331079687281836032, q 200000000000000 129118981788567),
  (q 181965 524288, q 363933 1048576, q 1 1, q 161398540312121 250000000000000, q 246721205557061 500000000000000, q 6294178733275019729819652257 34722922794099358330947371008, q 250000000000000 161398540312121),
  (q 363933 1048576, q 11373 32768, q 1 1, q 80699176694857 125000000000000, q 493442546503949 1000000000000000, q 35902125371530464929443 198057328410592106512384, q 125000000000000 80699176694857),
  (q 11373 32768, q 363939 1048576, q 1 1, q 12911853317479 20000000000000, q 30840167618149 62500000000000, q 6294369032816273509016277167 34722941848284868393069182976, q 20000000000000 12911853317479),
  (q 363939 1048576, q 181971 524288, q 1 1, q 129118383638753 200000000000000, q 123360704318357 250000000000000, q 1029413911881575697204131191 5678686566818054279392133120, q 200000000000000 129118383638753),
  (q 181971 524288, q 363945 1048576, q 1 1, q 645591170518303 1000000000000000, q 493442952653081 1000000000000000, q 8235423989475581388374939861 45429439921561120840395784192, q 1000000000000000 645591170518303),
  (q 363945 1048576, q 90987 262144, q 1 1, q 645590422847563 1000000000000000, q 493443088029343 1000000000000000, q 128680260701610442655843203 709834176701720135244709888, q 1000000000000000 645590422847563),
  (q 90987 262144, q 363951 1048576, q 1 1, q 129117935036309 200000000000000, q 246721611701107 500000000000000, q 8235649381335071551733272019 45429334696591337680934010880, q 200000000000000 129117935036309),
  (q 363951 1048576, q 181977 524288, q 1 1, q 645588927520249 1000000000000000, q 246721679385847 500000000000000, q 60557074108614677962971821 334038838857388734678040576, q 1000000000000000 645588927520249),
  (q 181977 524288, q 363957 1048576, q 1 1, q 161397044965919 250000000000000, q 493443494137783 1000000000000000, q 899277136306748651945885807 4960428429302042513863868416, q 250000000000000 161397044965919),
  (q 363957 1048576, q 45495 131072, q 1 1, q 25823497288473 40000000000000, q 246721814750241 500000000000000, q 124583536154326470263703 687194767360000000000000, q 40000000000000 25823497288473),
  (q 45495 131072, q 363963 1048576, q 1 1, q 80698335570587 125000000000000, q 49344376485979 100000000000000, q 6295130268826772884808387879 34723018055481951443809730560, q 125000000000000 80698335570587),
  (q 363963 1048576, q 181983 524288, q 1 1, q 645585936922289 1000000000000000, q 123360975053927 250000000000000, q 31894331984009962034387951 175921860444160000000000000, q 1000000000000000 645585936922289),
  (q 181983 524288, q 363969 1048576, q 1 1, q 161396297321151 250000000000000, q 98688807113647 200000000000000, q 6295320587290975442356345261 34723037104895264382034903040, q 250000000000000 161396297321151),
  (q 363969 1048576, q 90993 262144, q 1 1, q 322792220825821 500000000000000, q 123361042729343 250000000000000, q 98365871061599115626890129 542547603581938446916124672, q 500000000000000 322792220825821),
  (q 90993 262144, q 363975 1048576, q 1 1, q 322791847011701 500000000000000, q 493444306263119 1000000000000000, q 6295510909539894331724660347 34723056153354306780466774016, q 500000000000000 322791847011701),
  (q 363975 1048576, q 181989 524288, q 1 1, q 129116589279977 200000000000000, q 123361110401369 250000000000000, q 786950759010454483781724941 4340383209653250364442411008, q 200000000000000 129116589279977),
  (q 181989 524288, q 363981 1048576, q 1 1, q 64558219878109 100000000000000, q 493444576944443 1000000000000000, q 6295701235573570475910437089 34723075200859149007849521152, q 100000000000000 64558219878109),
  (q 363981 1048576, q 22749 65536, q 1 1, q 322790725583509 500000000000000, q 24672235614001 50000000000000, q 768529833985559787823391 4238657803253630988451840, q 500000000000000 322790725583509),
  (q 22749 65536, q 363987 1048576, q 1 1, q 161395175889417 250000000000000, q 30840302975763 62500000000000, q 6379529136698888684014611759 35184372088832000000000000000, q 250000000000000 161395175889417),
  (q 363987 1048576, q 181995 524288, q 1 1, q 8069749449413 12500000000000, q 246722491470503 500000000000000, q 1029639315795579066081914807 5678581345835883134525112320, q 12500000000000 8069749449413),
  (q 181995 524288, q 363993 1048576, q 1 1, q 129115841670627 200000000000000, q 246722559133207 500000000000000, q 8237227236860442316554533669 45428598159020602885291376640, q 200000000000000 129115841670627),
  (q 363993 1048576, q 90999 262144, q 1 1, q 645578460757953 1000000000000000, q 30840328349277 62500000000000, q 32792588891751765808430431 180849597997119324494495744, q 1000000000000000 645578460757953),
  (q 90999 262144, q 363999 1048576, q 1 1, q 645577713167493 1000000000000000, q 246722694453531 500000000000000, q 6379907866126013804449420731 35184372088832000000000000000, q 1000000000000000 645577713167493),
  (q 363999 1048576, q 182001 524288, q 1 1, q 161394241395439 250000000000000, q 246722762111151 500000000000000, q 797500318857438498613291021 4398046511104000000000000000, q 250000000000000 161394241395439),
  (q 182001 524288, q 364005 1048576, q 1 1, q 645576218000741 1000000000000000, q 493445659534153 1000000000000000, q 8237678088889717908041320393 45428387731677988434187649024, q 1000000000000000 645576218000741),
  (q 364005 1048576, q 45501 131072, q 1 1, q 645575470424449 1000000000000000, q 98689158968523 200000000000000, q 16089435164860492604320371 88727217042330358202236928, q 1000000000000000 645575470424449),
  (q 45501 131072, q 364011 1048576, q 1 1, q 8069684035661 12500000000000, q 61680741268461 125000000000000, q 8237903520932053160314243383 45428282520000649943654072320, q 12500000000000 8069684035661),
  (q 364011 1048576, q 182007 524288, q 1 1, q 322786987643017 500000000000000, q 123361516362343 250000000000000, q 797547662412560576111843651 4398046511104000000000000000, q 500000000000000 322786987643017),
  (q 182007 524288, q 364017 1048576, q 1 1, q 64557322772391 100000000000000, q 493446200747667 1000000000000000, q 56728317759079439332363011 312821526719394716485419008, q 100000000000000 64557322772391),
  (q 364017 1048576, q 91005 262144, q 1 1, q 645572480166509 1000000000000000, q 246723168021287 500000000000000, q 128722526195785907792666101 709814448515267786109353984, q 1000000000000000 645572480166509),
  (q 91005 262144, q 364023 1048576, q 1 1, q 645571732613831 1000000000000000, q 123361617833523 250000000000000, q 8238354397072333033930104555 45428072100633980801367670784, q 1000000000000000 645571732613831)
]

/-- Cells `(a, b, w₀, w₁, w₂, λ, c)`, sorted by `a`: chunk 7. -/
def cells7 : List (ℚ × ℚ × ℚ × ℚ × ℚ × ℚ × ℚ) := [
  (q 364023 1048576, q 182013 524288, q 1 1, q 161392746266469 250000000000000, q 246723303311111 500000000000000, q 31903800314764554054121881 175921860444160000000000000, q 250000000000000 161392746266469),
  (q 182013 524288, q 364029 1048576, q 1 1, q 161392559380661 250000000000000, q 493446741906963 1000000000000000, q 6380854756242846169497680833 35184372088832000000000000000, q 250000000000000 161392559380661),
  (q 364029 1048576, q 711 2048, q 1 1, q 322784744992067 500000000000000, q 123361719297079 250000000000000, q 1521336901303176881843 8388608000000000000000, q 500000000000000 322784744992067),
  (q 711 2048, q 364035 1048576, q 1 1, q 161392185612587 250000000000000, q 493447012466281 1000000000000000, q 6381044145674943647288083519 35184372088832000000000000000, q 250000000000000 161392185612587),
  (q 364035 1048576, q 182019 524288, q 1 1, q 161391998730321 250000000000000, q 493447147740857 1000000000000000, q 787188690208263518067550319 4340407013071792328729952256, q 250000000000000 161391998730321),
  (q 182019 524288, q 364041 1048576, q 1 1, q 645567247396943 1000000000000000, q 246723641506023 500000000000000, q 2099201568027004068704225663 11574421874479343993092046848, q 1000000000000000 645567247396943),
  (q 364041 1048576, q 91011 262144, q 1 1, q 322783249938663 500000000000000, q 493447418279847 1000000000000000, q 32800520247094904111038025 180850391364913104288743424, q 500000000000000 322783249938663),
  (q 91011 262144, q 364047 1048576, q 1 1, q 645565752362431 1000000000000000, q 24672377677213 50000000000000, q 1259559014349947233343102303 6944656932090038152465481728, q 1000000000000000 645565752362431),
  (q 364047 1048576, q 182025 524288, q 1 1, q 32278250242613 50000000000000, q 246723844402643 500000000000000, q 159537940897335725584198097 879609302220800000000000000, q 50000000000000 32278250242613),
  (q 182025 524288, q 364053 1048576, q 1 1, q 645564257346811 1000000000000000, q 123361956015731 250000000000000, q 8239481657749439330379323897 45427546075481390692647829504, q 1000000000000000 645564257346811),
  (q 364053 1048576, q 45507 131072, q 1 1, q 322781754923043 500000000000000, q 246723979658587 500000000000000, q 19942834495738209637221 109951162777600000000000, q 500000000000000 322781754923043),
  (q 45507 131072, q 364059 1048576, q 1 1, q 161390690587521 250000000000000, q 493448094568037 1000000000000000, q 6298175818442983735952290087 34723322731613948508863725568, q 250000000000000 161390690587521),
  (q 364059 1048576, q 182031 524288, q 1 1, q 129112402971761 200000000000000, q 493448229815513 1000000000000000, q 159547411129554410833916171 879609302220800000000000000, q 200000000000000 129112402971761),
  (q 182031 524288, q 364065 1048576, q 1 1, q 645561267372249 1000000000000000, q 493448365059601 1000000000000000, q 29024729020587966098750909 160015399842237870235451392, q 1000000000000000 645561267372249),
  (q 364065 1048576, q 91017 262144, q 1 1, q 40347532493151 62500000000000, q 493448500300303 1000000000000000, q 128750708215064606961485509 709801298052632121301794816, q 62500000000000 40347532493151),
  (q 91017 262144, q 364071 1048576, q 1 1, q 645559772413307 1000000000000000, q 493448635537617 1000000000000000, q 2099518860092523591169407585 11574453599654643809067728896, q 1000000000000000 645559772413307),
  (q 364071 1048576, q 182037 524288, q 1 1, q 645559024940921 1000000000000000, q 98689754154309 200000000000000, q 797784408710460920093401229 4398046511104000000000000000, q 1000000000000000 645559024940921),
  (q 182037 524288, q 364077 1048576, q 1 1, q 322779138736629 500000000000000, q 246724453001043 500000000000000, q 2746794512876569354079682267 15142375093096374952320303104, q 500000000000000 322779138736629),
  (q 364077 1048576, q 22755 65536, q 1 1, q 645557530010319 1000000000000000, q 12336226030731 25000000000000, q 3116437835761392981190149 17179869184000000000000000, q 1000000000000000 645557530010319),
  (q 22755 65536, q 364083 1048576, q 1 1, q 645556782552103 1000000000000000, q 493449176453007 1000000000000000, q 13373540036632339464724913 73722715207007711461900288, q 1000000000000000 645556782552103),
  (q 364083 1048576, q 182043 524288, q 1 1, q 64555603509861 100000000000000, q 123362327918347 250000000000000, q 787379069232977655337667983 4340426047223628786726600704, q 100000000000000 64555603509861),
  (q 182043 524288, q 364089 1048576, q 1 1, q 645555287649841 1000000000000000, q 493449446890383 1000000000000000, q 8240834503183655676484182501 45426914889169957594725351424, q 1000000000000000 645555287649841),
  (q 364089 1048576, q 91023 262144, q 1 1, q 129110908041159 200000000000000, q 493449582103991 1000000000000000, q 98425358592546066161742697 542553553244546103316054016, q 200000000000000 129110908041159),
  (q 91023 262144, q 364095 1048576, q 1 1, q 645553792766473 1000000000000000, q 246724858657107 500000000000000, q 8241059991489234075703847619 45426809696104659357974659072, q 1000000000000000 645553792766473),
  (q 364095 1048576, q 182049 524288, q 1 1, q 322776522665937 500000000000000, q 9868997050421 20000000000000, q 1030146592143648957974867069 5678344637508821599012257792, q 500000000000000 322776522665937),
  (q 182049 524288, q 364101 1048576, q 1 1, q 645552297901999 1000000000000000, q 986899975449 2000000000000, q 8241285483813938860929653001 45426704504368908173716750336, q 1000000000000000 645552297901999),
  (q 364101 1048576, q 45513 131072, q 1 1, q 40346971904803 62500000000000, q 123362530731141 250000000000000, q 12467231245108336482776053 68719476736000000000000000, q 62500000000000 40346971904803),
  (q 45513 131072, q 364107 1048576, q 1 1, q 32277540152821 50000000000000, q 246725129060621 500000000000000, q 6299698956632697617682183671 34723474978135945918900338688, q 50000000000000 32277540152821),
  (q 364107 1048576, q 182055 524288, q 1 1, q 129110011128143 200000000000000, q 98690078662907 200000000000000, q 206040593245923879502695559 1135663667981455872432799744, q 200000000000000 129110011128143),
  (q 182055 524288, q 364113 1048576, q 1 1, q 322774654114867 500000000000000, q 246725264252221 500000000000000, q 8241736480520903062287048989 45426494124886117331423461376, q 500000000000000 322774654114867),
  (q 364113 1048576, q 91029 262144, q 1 1, q 645548560823477 1000000000000000, q 493450663690963 1000000000000000, q 98437258937742220268501987 542554742461998268350988288, q 1000000000000000 645548560823477),
  (q 91029 262144, q 364119 1048576, q 1 1, q 80693476677743 125000000000000, q 4934507988741 10000000000000, q 6383695997058648102219955163 35184372088832000000000000000, q 125000000000000 80693476677743),
  (q 364119 1048576, q 182061 524288, q 1 1, q 322773533012567 500000000000000, q 9869018681077 20000000000000, q 157504374675071467526652181 868088063566617990303580160, q 500000000000000 322773533012567),
  (q 182061 524288, q 364125 1048576, q 1 1, q 80693289829131 125000000000000, q 61681383653777 125000000000000, q 8242187493304895930304594241 45426283750721725805333839872, q 125000000000000 80693289829131),
  (q 364125 1048576, q 11379 32768, q 1 1, q 322772785622843 500000000000000, q 493451204403197 1000000000000000, q 125767520889480153383345 693149279144464837771264, q 500000000000000 322772785622843),
  (q 11379 32768, q 364131 1048576, q 1 1, q 80693102982881 125000000000000, q 61681417446599 125000000000000, q 10214519830120444002362159 56294995342131200000000000, q 125000000000000 80693102982881),
  (q 364131 1048576, q 182067 524288, q 1 1, q 645544076485133 1000000000000000, q 493451474739003 1000000000000000, q 1030315720430455954802729559 5678265746698585835950833664, q 1000000000000000 645544076485133),
  (q 182067 524288, q 364137 1048576, q 1 1, q 645543329111943 1000000000000000, q 123362902475457 250000000000000, q 2100217013678028342601551263 11574523367079395495210123264, q 1000000000000000 645543329111943),
  (q 364137 1048576, q 91035 262144, q 1 1, q 161385645435869 250000000000000, q 493451745061269 1000000000000000, q 32816386743123508704683621 180851977147074549014069248, q 250000000000000 161385645435869),
  (q 91035 262144, q 364143 1048576, q 1 1, q 645541834379733 1000000000000000, q 246725940108663 500000000000000, q 2747621347542022618885322225 15141989399815791576197627904, q 1000000000000000 645541834379733),
  (q 364143 1048576, q 182073 524288, q 1 1, q 322770543510357 500000000000000, q 246726007684999 500000000000000, q 1030372100545408711276551973 5678239451091469730958016512, q 500000000000000 322770543510357),
  (q 182073 524288, q 364149 1048576, q 1 1, q 645540339666419 1000000000000000, q 98690430103857 200000000000000, q 700114655699495839386047609 3858178682645524010877583360, q 1000000000000000 645540339666419),
  (q 364149 1048576, q 45519 131072, q 1 1, q 40346224519803 62500000000000, q 123363071416297 250000000000000, q 12306888903763704407252947 67819565730189826102132736, q 62500000000000 40346224519803),
  (q 45519 131072, q 364155 1048576, q 1 1, q 322769422486001 500000000000000, q 493452420807707 1000000000000000, q 6301222337105067603887179831 34723627163666538000388456448, q 500000000000000 322769422486001),
  (q 364155 1048576, q 182079 524288, q 1 1, q 645538097631879 1000000000000000, q 246726277973421 500000000000000, q 262554898184567302798643653 1446818194718239883591155712, q 1000000000000000 645538097631879),
  (q 182079 524288, q 364161 1048576, q 1 1, q 4034608439353 6250000000000, q 493452691082593 1000000000000000, q 51080177618453414780563153 281474976710656000000000000, q 6250000000000 4034608439353),
  (q 364161 1048576, q 91041 262144, q 1 1, q 129107320593161 200000000000000, q 6168160327687 12500000000000, q 25761416862153181048173805 141955000223184336963239936, q 200000000000000 129107320593161),
  (q 91041 262144, q 364167 1048576, q 1 1, q 129107171127971 200000000000000, q 493452961343943 1000000000000000, q 1277042335082879782965420103 7036874417766400000000000000, q 200000000000000 129107171127971),
  (q 364167 1048576, q 182085 524288, q 1 1, q 645535108318629 1000000000000000, q 246726548234771 500000000000000, q 787712305399113134901982477 4340459338642669465801588736, q 1000000000000000 645535108318629),
  (q 182085 524288, q 364173 1048576, q 1 1, q 645534361002127 1000000000000000, q 246726615795879 500000000000000, q 6385401152326031770205205449 35184372088832000000000000000, q 1000000000000000 645534361002127),
  (q 364173 1048576, q 22761 65536, q 1 1, q 645533613690349 1000000000000000, q 49345336671059 100000000000000, q 124716716644693870787359 687194767360000000000000, q 1000000000000000 645533613690349),
  (q 22761 65536, q 364179 1048576, q 1 1, q 129106573276659 200000000000000, q 246726750913019 500000000000000, q 6301984118203867969307406599 34723703233568923504693215232, q 200000000000000 129106573276659),
  (q 364179 1048576, q 182091 524288, q 1 1, q 322766059540483 500000000000000, q 61681704617263 125000000000000, q 798210671853237419871058991 4398046511104000000000000000, q 500000000000000 322766059540483),
  (q 182091 524288, q 364185 1048576, q 1 1, q 645531371783361 1000000000000000, q 246726886023393 500000000000000, q 2100724857647957976731392511 11574574082887870337901395968, q 1000000000000000 645531371783361),
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  (q 45711 131072, q 182847 524288, q 1 1, q 80644510062621 125000000000000, q 61690163120247 125000000000000, q 264591427868701036223679985 1447019768962341166787854336, q 125000000000000 80644510062621),
  (q 182847 524288, q 91425 262144, q 1 1, q 645154590679461 1000000000000000, q 123380392947661 250000000000000, q 99224776264362871020928823 542632706742101027527327744, q 1000000000000000 645154590679461),
  (q 91425 262144, q 182853 524288, q 1 1, q 129030620175381 200000000000000, q 493521838605977 1000000000000000, q 257357490591475691654601 1407374883553280000000000, q 200000000000000 129030620175381),
  (q 182853 524288, q 22857 65536, q 1 1, q 6451516110933 10000000000000, q 19740884216319 40000000000000, q 2953296371117008222267 16149800400611941810176, q 10000000000000 6451516110933),
  (q 22857 65536, q 182859 524288, q 1 1, q 645150121328647 1000000000000000, q 3084514826229 6250000000000, q 94343208005989884947234637 515890952772323315512508416, q 1000000000000000 645150121328647),
  (q 182859 524288, q 91431 262144, q 1 1, q 322574315791473 500000000000000, q 123380659742993 250000000000000, q 129725451337689508839476435 709348422069223880021508096, q 500000000000000 322574315791473),
  (q 91431 262144, q 182865 524288, q 1 1, q 645147141856197 1000000000000000, q 123380726433493 250000000000000, q 1037831933841000298645316069 5674774272778729164663422976, q 1000000000000000 645147141856197),
  (q 182865 524288, q 45717 131072, q 1 1, q 1612864130371 2500000000000, q 493523172482641 1000000000000000, q 16216566523192917385786793 88668143268287044439244800, q 2500000000000 1612864130371),
  (q 45717 131072, q 182871 524288, q 1 1, q 161286040614889 250000000000000, q 493523439217979 1000000000000000, q 804385005728565751510132651 4398046511104000000000000000, q 250000000000000 161286040614889),
  (q 182871 524288, q 91437 262144, q 1 1, q 20160708524677 31250000000000, q 493523705939987 1000000000000000, q 99248704908833311336859953 542635053264119066538278912, q 31250000000000 20160708524677),
  (q 91437 262144, q 182877 524288, q 1 1, q 25805647325549 40000000000000, q 493523972648667 1000000000000000, q 1037945231437613933683499049 5674721859345552396569804800, q 40000000000000 25805647325549),
  (q 182877 524288, q 5715 16384, q 1 1, q 645139693506739 1000000000000000, q 246762119672009 500000000000000, q 126705756481501884876583 692713471240726890151936, q 1000000000000000 645139693506739),
  (q 5715 16384, q 182883 524288, q 1 1, q 322569101946853 500000000000000, q 246762253013021 500000000000000, q 1038001883259202120661337167 5674695653629229322729422848, q 500000000000000 322569101946853),
  (q 182883 524288, q 91443 262144, q 1 1, q 645136714299627 1000000000000000, q 493524772694739 1000000000000000, q 43251258746909824218559337 236445106292547712853213184, q 1000000000000000 645136714299627),
  (q 91443 262144, q 182889 524288, q 1 1, q 322567612362251 500000000000000, q 49352503935011 100000000000000, q 794109297918091001862742781 4341092154912431194117242880, q 500000000000000 322567612362251),
  (q 182889 524288, q 45723 131072, q 1 1, q 64513373516833 100000000000000, q 493525305992157 1000000000000000, q 2514224009353920496215821 13743895347200000000000000, q 100000000000000 64513373516833),
  (q 45723 131072, q 182895 524288, q 1 1, q 80641530703889 125000000000000, q 493525572620879 1000000000000000, q 1038115192949158430055336643 5674643244197201756391735296, q 125000000000000 80641530703889),
  (q 182895 524288, q 91449 262144, q 1 1, q 645130756112849 1000000000000000, q 493525839236277 1000000000000000, q 4022996546803252662436207 21990232555520000000000000, q 1000000000000000 645130756112849),
  (q 91449 262144, q 182901 524288, q 1 1, q 32256463330677 50000000000000, q 493526105838353 1000000000000000, q 160924624651933845784327653 879609302220800000000000000, q 50000000000000 32256463330677),
  (q 182901 524288, q 22863 65536, q 1 1, q 322563888566593 500000000000000, q 246763186213553 500000000000000, q 387807113492056157198993 2119679629287936413925376, q 500000000000000 322563888566593),
  (q 22863 65536, q 182907 524288, q 1 1, q 322563143835893 500000000000000, q 493526639002539 1000000000000000, q 1038228510701774662346375799 5674590837432747728713023488, q 500000000000000 322563143835893),
  (q 182907 524288, q 91455 262144, q 1 1, q 322562399114671 500000000000000, q 493526905564651 1000000000000000, q 129782105174970005777978539 709322217019807384985403392, q 500000000000000 322562399114671),
  (q 91455 262144, q 182913 524288, q 1 1, q 645123308805853 1000000000000000, q 493527172113443 1000000000000000, q 1038285172601688440174486005 5674564635050900374289383424, q 1000000000000000 645123308805853),
  (q 182913 524288, q 45729 131072, q 1 1, q 16128045485033 25000000000000, q 123381859662229 250000000000000, q 12411323646668009714625109 67829894677623700667236352, q 25000000000000 16128045485033),
  (q 45729 131072, q 182919 524288, q 1 1, q 322560165007871 500000000000000, q 3855685196649 7812500000000, q 1038341836517396877838031451 5674538433335990384995598336, q 500000000000000 322560165007871),
  (q 182919 524288, q 91461 262144, q 1 1, q 4031992754057 6250000000000, q 49352797167991 100000000000000, q 25959254230779684349529861 141863133318215977532391424, q 6250000000000 4031992754057),
  (q 91461 262144, q 182925 524288, q 1 1, q 322558675650727 500000000000000, q 493528238175431 1000000000000000, q 1038398502448942573750755457 5674512232288026556924690432, q 500000000000000 322558675650727),
  (q 182925 524288, q 11433 32768, q 1 1, q 129023172394549 200000000000000, q 493528504657637 1000000000000000, q 507044353598959258254563 2770751529303789818347520, q 200000000000000 129023172394549),
  (q 11433 32768, q 182931 524288, q 1 1, q 40319648291437 62500000000000, q 1927846762213 3906250000000, q 1038455170396369841714115791 5674486031907035278355726336, q 62500000000000 40319648291437),
  (q 182931 524288, q 91467 262144, q 1 1, q 161278220843049 250000000000000, q 61691129697763 125000000000000, q 129810438140756528140086503 709309116495832068019716096, q 250000000000000 161278220843049),
  (q 91467 262144, q 182937 524288, q 1 1, q 645111394100357 1000000000000000, q 493529304024367 1000000000000000, q 1038511840359721143649009181 5674459832193025345381728256, q 1000000000000000 645111394100357),
  (q 182937 524288, q 45735 131072, q 1 1, q 25804396193899 40000000000000, q 493529570453317 1000000000000000, q 6207158016269488972017479 33915093835294790555533312, q 40000000000000 25804396193899),
  (q 45735 131072, q 182943 524288, q 1 1, q 12902168312271 20000000000000, q 98705967373791 200000000000000, q 17656448162349384412174999 96469652318543724666683392, q 20000000000000 12902168312271),
  (q 182943 524288, q 91473 262144, q 1 1, q 645106926398583 1000000000000000, q 246765051635641 500000000000000, q 99320513625461482858518379 542642087204264654334328832, q 1000000000000000 645106926398583),
  (q 91473 262144, q 182949 524288, q 1 1, q 322552718601287 500000000000000, q 493530369660299 1000000000000000, q 794588051176408400900739761 4341139040816690861222920192, q 500000000000000 322552718601287),
  (q 182949 524288, q 22869 65536, q 1 1, q 322551974012761 500000000000000, q 246765318018003 500000000000000, q 28740306489578871445719 157014662322127766552576, q 500000000000000 322551974012761),
  (q 22869 65536, q 182955 524288, q 1 1, q 645102458867429 1000000000000000, q 98706180479681 200000000000000, q 1038681862345751121284570975 5674381237053015561424863232, q 1000000000000000 645102458867429),
  (q 182955 524288, q 91479 262144, q 1 1, q 322550484864147 500000000000000, q 98706233749499 200000000000000, q 129838775138434491570673459 709296017305832636383494144, q 500000000000000 322550484864147),
  (q 91479 262144, q 182961 524288, q 1 1, q 322549740304059 500000000000000, q 246765717541639 500000000000000, q 805099501393211293689518133 4398046511104000000000000000, q 500000000000000 322549740304059),
  (q 182961 524288, q 45741 131072, q 1 1, q 6450979915069 10000000000000, q 246765850702877 500000000000000, q 12417308893146471492869221 67830480546462420999077888, q 10000000000000 6450979915069),
  (q 45741 131072, q 182967 524288, q 1 1, q 322548251212321 500000000000000, q 19741278708597 40000000000000, q 264910571394226854174293697 1447051032484611909012684800, q 500000000000000 322548251212321),
  (q 182967 524288, q 91485 262144, q 1 1, q 322547506680671 500000000000000, q 493532234010791 1000000000000000, q 129852945149340690587569529 709289468211109611691835392, q 500000000000000 322547506680671),
  (q 91485 262144, q 182973 524288, q 1 1, q 322546762158501 500000000000000, q 61691562536669 125000000000000, q 794779605649647058503380425 4341157782063221240250761216, q 500000000000000 322546762158501),
  (q 182973 524288, q 2859 8192, q 1 1, q 322546017645811 500000000000000, q 493532766562611 1000000000000000, q 15852054508402042450167 86582787327737322274816, q 500000000000000 322546017645811),
  (q 2859 8192, q 182979 524288, q 1 1, q 645090546285201 1000000000000000, q 246766516409283 500000000000000, q 346302862184227143240563021 1891425484290534457198247936, q 1000000000000000 645090546285201),
  (q 182979 524288, q 91491 262144, q 1 1, q 645089057297741 1000000000000000, q 24676664953061 50000000000000, q 100658284851675284891611753 549755813888000000000000000, q 1000000000000000 645089057297741),
  (q 91491 262144, q 182985 524288, q 1 1, q 16127189208231 25000000000000, q 123383391322643 250000000000000, q 794875394281142711571988517 4341167149877836753169022976, q 25000000000000 16127189208231),
  (q 182985 524288, q 45747 131072, q 1 1, q 6450860793797 10000000000000, q 7711466117291 15625000000000, q 12420302228531857640061251 67830773305296783595798528, q 10000000000000 6450860793797),
  (q 45747 131072, q 182991 524288, q 1 1, q 645084590449121 1000000000000000, q 493534097709377 1000000000000000, q 794923291445754485767797287 4341171833083172305990844416, q 1000000000000000 645084590449121),
  (q 182991 524288, q 91497 262144, q 1 1, q 322541550768751 500000000000000, q 493534363898831 1000000000000000, q 129881288195503457909593373 709276371022289512328855552, q 500000000000000 322541550768751),
  (q 91497 262144, q 182997 524288, q 1 1, q 129016322528969 200000000000000, q 493534630074987 1000000000000000, q 161077083970556847759720761 879609302220800000000000000, q 200000000000000 129016322528969),
  (q 182997 524288, q 22875 65536, q 1 1, q 161270030942787 250000000000000, q 246767448118923 500000000000000, q 676501950974732406651217 3694130713195617131167744, q 250000000000000 161270030942787),
  (q 22875 65536, q 183003 524288, q 1 1, q 645078634916413 1000000000000000, q 30845947649213 62500000000000, q 1039135343019924602090764015 5674171679363722298632699904, q 1000000000000000 645078634916413)
]

/-- Cells `(a, b, w₀, w₁, w₂, λ, c)`, sorted by `a`: chunk 8. -/
def cells8 : List (ℚ × ℚ × ℚ × ℚ × ℚ × ℚ × ℚ) := [
  (q 183003 524288, q 91503 262144, q 1 1, q 1007933040751 1562500000000, q 246767714261837 500000000000000, q 99380380333350173546890883 542647942381190500291969024, q 1562500000000 1007933040751),
  (q 91503 262144, q 183009 524288, q 1 1, q 161268914315957 250000000000000, q 246767847323323 500000000000000, q 1039192037177732920673758285 5674145487654596820519092224, q 250000000000000 161268914315957),
  (q 183009 524288, q 45753 131072, q 1 1, q 645074168465979 1000000000000000, q 493535960756323 1000000000000000, q 388228001210515575589385 2119720810848346710212608, q 1000000000000000 645074168465979),
  (q 45753 131072, q 183015 524288, q 1 1, q 161268169921773 250000000000000, q 123384056713177 250000000000000, q 805528404842800052710242267 4398046511104000000000000000, q 250000000000000 161268169921773),
  (q 183015 524288, q 91509 262144, q 1 1, q 645071190927167 1000000000000000, q 493536492935799 1000000000000000, q 33130785507954705404453373 180883037571566227851051008, q 1000000000000000 645071190927167),
  (q 91509 262144, q 183021 524288, q 1 1, q 129013940437241 200000000000000, q 493536759005599 1000000000000000, q 161115214064548522890573761 879609302220800000000000000, q 200000000000000 129013940437241),
  (q 183021 524288, q 11439 32768, q 1 1, q 322534106732103 500000000000000, q 493537025062107 1000000000000000, q 43141642784406135265285 235525042445209103761408, q 500000000000000 322534106732103),
  (q 11439 32768, q 183027 524288, q 1 1, q 645066724761169 1000000000000000, q 246768645552663 500000000000000, q 1039362131750243664501205431 5674066916530287136213041152, q 1000000000000000 645066724761169),
  (q 183027 524288, q 91515 262144, q 1 1, q 80633154509637 125000000000000, q 246768778567627 500000000000000, q 99404333664119956912477303 542650282814373728935215104, q 125000000000000 80633154509637),
  (q 91515 262144, q 183033 524288, q 1 1, q 645063747411987 1000000000000000, q 98707564630379 200000000000000, q 32226856280311202901537993 175921860444160000000000000, q 1000000000000000 645063747411987),
  (q 183033 524288, q 45759 131072, q 1 1, q 645062258765841 1000000000000000, q 493538089155247 1000000000000000, q 3147247040514880337492241 17179869184000000000000000, q 1000000000000000 645062258765841),
  (q 45759 131072, q 183039 524288, q 1 1, q 645060770138659 1000000000000000, q 15423073598291 31250000000000, q 805719078212956971118380031 4398046511104000000000000000, q 1000000000000000 645060770138659),
  (q 183039 524288, q 91521 262144, q 1 1, q 645059281530441 1000000000000000, q 49353862112209 100000000000000, q 99416311754159113135841951 542651452680271711531171840, q 1000000000000000 645059281530441),
  (q 91521 262144, q 183045 524288, q 1 1, q 645057792941187 1000000000000000, q 493538887085583 1000000000000000, q 265118150466872988221240151 1447071320293932877205209088, q 1000000000000000 645057792941187),
  (q 183045 524288, q 22881 65536, q 1 1, q 322528152185449 500000000000000, q 493539153035791 1000000000000000, q 776736727776252617443627 4239469043168522924982272, q 500000000000000 322528152185449),
  (q 22881 65536, q 183051 524288, q 1 1, q 645054815819573 1000000000000000, q 98707883794543 200000000000000, q 159080473512013769173463311 868243727882097803808210944, q 1000000000000000 645054815819573),
  (q 183051 524288, q 91527 262144, q 1 1, q 645053327287213 1000000000000000, q 123384921224089 250000000000000, q 129952163454968853071703775 709243633887888443900428288, q 1000000000000000 645053327287213),
  (q 91527 262144, q 183057 524288, q 1 1, q 322525919386909 500000000000000, q 246769975403357 500000000000000, q 148520809005328869556301963 810562282571545761223278592, q 500000000000000 322525919386909),
  (q 183057 524288, q 45765 131072, q 1 1, q 645050350279389 1000000000000000, q 49354021670379 100000000000000, q 5414968848640945288595905 29551681693048748990529536, q 1000000000000000 645050350279389),
  (q 45765 131072, q 183063 524288, q 1 1, q 25801954472157 40000000000000, q 98708096517517 200000000000000, q 159099641115628781416822627 868245599013165068542017536, q 40000000000000 25801954472157),
  (q 183063 524288, q 91533 262144, q 1 1, q 645047373347427 1000000000000000, q 4935407484581 10000000000000, q 19888054156750528233440987 108530758342190178626437120, q 1000000000000000 645047373347427),
  (q 91533 262144, q 183069 524288, q 1 1, q 322522942454947 500000000000000, q 61692626789417 125000000000000, q 1039759089669638951866602161 5673883607259903256220925952, q 500000000000000 322522942454947),
  (q 183069 524288, q 5721 16384, q 1 1, q 10078818695177 15625000000000, q 123385320039823 250000000000000, q 24278872347370650942077 132483978594383300657152, q 15625000000000 10078818695177),
  (q 5721 16384, q 183075 524288, q 1 1, q 40315181755733 62500000000000, q 493541545989971 1000000000000000, q 795594051195395194652677631 4341237348852132636648275968, q 62500000000000 40315181755733),
  (q 183075 524288, q 91539 262144, q 1 1, q 322520709855547 500000000000000, q 493541811807373 1000000000000000, q 18568645802469287092848673 101318648767069567940820992, q 500000000000000 322520709855547),
  (q 91539 262144, q 183081 524288, q 1 1, q 161259982837357 250000000000000, q 246771038805749 500000000000000, q 795641976853815441173004853 4341242025044536736910147584, q 250000000000000 161259982837357),
  (q 183081 524288, q 45771 131072, q 1 1, q 80629805375841 125000000000000, q 123385585850587 250000000000000, q 12432280318679565988672543 67831943171337152947552256, q 125000000000000 80629805375841),
  (q 45771 131072, q 183087 524288, q 1 1, q 129007390936599 200000000000000, q 493542609179923 1000000000000000, q 795689904412153667603285263 4341246700769850705506729984, q 200000000000000 129007390936599),
  (q 183087 524288, q 91545 262144, q 1 1, q 645035466378229 1000000000000000, q 15423214842007 31250000000000, q 129994700711157980158787081 709223995610777887078088704, q 1000000000000000 645035466378229),
  (q 91545 262144, q 183093 524288, q 1 1, q 645033978092431 1000000000000000, q 493543140695251 1000000000000000, q 795737833870451280747127045 4341251376028118522903134208, q 1000000000000000 645033978092431),
  (q 183093 524288, q 22887 65536, q 1 1, q 645032489825601 1000000000000000, q 246771703216503 500000000000000, q 345382725395875874960719 1884224702032174919974912, q 1000000000000000 645032489825601),
  (q 22887 65536, q 183099 524288, q 1 1, q 322515500788869 500000000000000, q 49354367215749 100000000000000, q 346680897182428935152960061 1891250897361926220224135168, q 500000000000000 322515500788869),
  (q 183099 524288, q 91551 262144, q 1 1, q 161257378337211 250000000000000, q 246771968934351 500000000000000, q 100777467637557467447506347 549755813888000000000000000, q 250000000000000 161257378337211),
  (q 91551 262144, q 183105 524288, q 1 1, q 322514012569459 500000000000000, q 123386050891661 250000000000000, q 806243587439507103490058213 4398046511104000000000000000, q 500000000000000 322514012569459),
  (q 183105 524288, q 45777 131072, q 1 1, q 16125663423699 25000000000000, q 493544469251317 1000000000000000, q 100783429281973817226777 549755813888000000000000, q 25000000000000 16125663423699),
  (q 45777 131072, q 183111 524288, q 1 1, q 645025048775971 1000000000000000, q 493544734922721 1000000000000000, q 1040156146417974804543887427 5673700330687693364519763968, q 1000000000000000 645025048775971),
  (q 183111 524288, q 91557 262144, q 1 1, q 645023560622951 1000000000000000, q 493545000580857 1000000000000000, q 100789391165010876018776023 549755813888000000000000000, q 1000000000000000 645023560622951),
  (q 91557 262144, q 183117 524288, q 1 1, q 6450220724889 10000000000000, q 246772633112863 500000000000000, q 1040212876879126170779475697 5673674150989756053533491200, q 10000000000000 6450220724889),
  (q 183117 524288, q 11445 32768, q 1 1, q 322510292186909 500000000000000, q 30846595741083 62500000000000, q 126982573592062047031983 692585578783089237164032, q 500000000000000 322510292186909),
  (q 11445 32768, q 183123 524288, q 1 1, q 322509548138853 500000000000000, q 98709159495133 200000000000000, q 1040269609357539837505968223 5673647971959239892793294848, q 500000000000000 322509548138853),
  (q 183123 524288, q 91563 262144, q 1 1, q 161254402050141 250000000000000, q 493546063080737 1000000000000000, q 99500184981839132086092319 542659635200337516179750912, q 250000000000000 161254402050141),
  (q 91563 262144, q 183129 524288, q 1 1, q 645016120142391 1000000000000000, q 98709265734509 200000000000000, q 1040326343853259345267292141 5673621793596162474485219328, q 1000000000000000 645016120142391),
  (q 183129 524288, q 45783 131072, q 1 1, q 645014632103189 1000000000000000, q 49354659425109 100000000000000, q 98444607662009337875113 536870912000000000000000, q 1000000000000000 645014632103189),
  (q 45783 131072, q 183135 524288, q 1 1, q 645013144082957 1000000000000000, q 123386714954093 250000000000000, q 796073393280875459358441287 4341284089763459697397989376, q 1000000000000000 645013144082957),
  (q 183135 524288, q 91569 262144, q 1 1, q 129002331216339 200000000000000, q 493547125368393 1000000000000000, q 43350477057474225863164019 236399271970959319829053440, q 200000000000000 129002331216339),
  (q 91569 262144, q 183141 524288, q 1 1, q 161252542024851 250000000000000, q 30846711931697 62500000000000, q 796121337940337898896380457 4341288761287363814402031616, q 250000000000000 161252542024851),
  (q 183141 524288, q 22893 65536, q 1 1, q 161252170034021 250000000000000, q 123386914108163 250000000000000, q 2032164431481550760448869 11081164747282422438035456, q 250000000000000 161252170034021),
  (q 22893 65536, q 183147 524288, q 1 1, q 129001438438347 200000000000000, q 123386980486223 250000000000000, q 1040496559444683828653674159 5673543262511694615549050880, q 200000000000000 129001438438347),
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  (q 46287 131072, q 23145 65536, q 1 1, q 644013068352833 1000000000000000, q 98744625955193 200000000000000, q 3213635677826667267291803 17179869184000000000000000, q 1000000000000000 644013068352833),
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  (q 5817 16384, q 23271 65536, q 1 1, q 128703698490967 200000000000000, q 24690434629421 50000000000000, q 25963768699091981394637 137438953472000000000000, q 200000000000000 128703698490967),
  (q 23271 65536, q 11637 32768, q 1 1, q 12870134863197 20000000000000, q 246905356239047 500000000000000, q 400755992667595493275583 2120900860507872846413824, q 20000000000000 12870134863197),
  (q 11637 32768, q 23277 65536, q 1 1, q 321747497545129 500000000000000, q 493812731567623 1000000000000000, q 801703083443517485328577 4241819064862735194914816, q 500000000000000 321747497545129),
  (q 23277 65536, q 1455 4096, q 1 1, q 643483248246133 1000000000000000, q 15431710933043 31250000000000, q 8163573298542693319621 43183429792827978022912, q 1000000000000000 643483248246133),
  (q 1455 4096, q 23283 65536, q 1 1, q 20108484457111 31250000000000, q 493816767347721 1000000000000000, q 534723579822445020160757 2827902487966536473509888, q 31250000000000 20108484457111),
  (q 23283 65536, q 11643 32768, q 1 1, q 643459758234587 1000000000000000, q 493818784039027 1000000000000000, q 522694454607970222455985 2763638617909617861066752, q 1000000000000000 643459758234587),
  (q 11643 32768, q 23289 65536, q 1 1, q 321724007533657 500000000000000, q 246910399965831 500000000000000, q 812509088570258634996239 4294967296000000000000000, q 500000000000000 321724007533657),
  (q 23289 65536, q 5823 16384, q 1 1, q 128687254625161 200000000000000, q 246911407512997 500000000000000, q 200664756097838054975429 1060476420277650809946112, q 200000000000000 128687254625161),
  (q 5823 16384, q 23295 65536, q 1 1, q 80428066551267 125000000000000, q 61728103665299 125000000000000, q 1605700605360455088268031 8483845967569821921968128, q 125000000000000 80428066551267),
  (q 23295 65536, q 11649 32768, q 1 1, q 321706396460189 500000000000000, q 493826842821223 1000000000000000, q 130786543218838492935637 690859225855260960489472, q 500000000000000 321706396460189),
  (q 11649 32768, q 23301 65536, q 1 1, q 643401054656607 1000000000000000, q 98765771104571 200000000000000, q 130123291159645095998433 687194767360000000000000, q 1000000000000000 643401054656607),
  (q 23301 65536, q 2913 8192, q 1 1, q 321694658809447 500000000000000, q 246915433713827 500000000000000, q 25107009930997721115407 132561714084817848500224, q 500000000000000 321694658809447),
  (q 2913 8192, q 23307 65536, q 1 1, q 40211098862957 62500000000000, q 493832878535989 1000000000000000, q 2093940515900220106573159 11053142691367878454673408, q 62500000000000 40211098862957),
  (q 23307 65536, q 11655 32768, q 1 1, q 128673169444387 200000000000000, q 246917444424113 500000000000000, q 523598146234350036213589 2763235273181543278837760, q 200000000000000 128673169444387),
  (q 11655 32768, q 23313 65536, q 1 1, q 160838528465709 250000000000000, q 123459224591183 250000000000000, q 1607997206650874498375575 8484053312138399279218688, q 250000000000000 160838528465709),
  (q 23313 65536, q 5829 16384, q 1 1, q 128668476346017 200000000000000, q 246919453542937 500000000000000, q 201047522985596731256549 1060510977713105746788352, q 200000000000000 128668476346017),
  (q 5829 16384, q 23319 65536, q 1 1, q 128666130164751 200000000000000, q 493840915012019 1000000000000000, q 1047874587418495541770027 5526168211604846369832960, q 200000000000000 128666130164751),
  (q 23319 65536, q 11661 32768, q 1 1, q 643318921143919 1000000000000000, q 493842922143531 1000000000000000, q 268191053116813552516313 1414026133311693241974784, q 1000000000000000 643318921143919),
  (q 11661 32768, q 23325 65536, q 1 1, q 80413399086331 125000000000000, q 246922464240389 500000000000000, q 1609529476293412621976909 8484191268481601898545152, q 125000000000000 80413399086331),
  (q 23325 65536, q 729 2048, q 1 1, q 643295465464013 1000000000000000, q 3950775472193 8000000000000, q 3144360730499629605181 16570753366120988672000, q 1000000000000000 643295465464013),
  (q 729 2048, q 23331 65536, q 1 1, q 321641869732043 500000000000000, q 246924469386969 500000000000000, q 24398423816261157126641 128549396436264851341312, q 500000000000000 321641869732043),
  (q 23331 65536, q 11667 32768, q 1 1, q 643272014690937 1000000000000000, q 493850942730583 1000000000000000, q 805339654935425649298141 4242147296253245848027136, q 1000000000000000 643272014690937),
  (q 11667 32768, q 23337 65536, q 1 1, q 321630145572319 500000000000000, q 19754117835777 40000000000000, q 2098464077666519610807555 11051127653126634463035392, q 500000000000000 321630145572319),
  (q 23337 65536, q 5835 16384, q 1 1, q 32162428441263 50000000000000, q 123463737066457 250000000000000, q 10196858991477974506893 53687091200000000000000, q 50000000000000 32162428441263),
  (q 5835 16384, q 23343 65536, q 1 1, q 80404605966609 125000000000000, q 246928474922579 500000000000000, q 1631879115259805993040519 8589934592000000000000000, q 125000000000000 80404605966609),
  (q 23343 65536, q 11673 32768, q 1 1, q 128645025573509 200000000000000, q 493858950632779 1000000000000000, q 806106631683214468254301 4242216083609328621191168, q 200000000000000 128645025573509),
  (q 11673 32768, q 23349 65536, q 1 1, q 643213409229349 1000000000000000, q 493860950629057 1000000000000000, q 1050137644835568765091667 5525161113977437036740608, q 1000000000000000 643213409229349),
  (q 23349 65536, q 2919 8192, q 1 1, q 321600845909177 500000000000000, q 246931474917177 500000000000000, q 2800313543558232943417 14730036237809993383936, q 500000000000000 321600845909177),
  (q 2919 8192, q 23355 65536, q 1 1, q 64318997563463 100000000000000, q 493864948249037 1000000000000000, q 2101181278838005165179197 11049919641863090780241920, q 100000000000000 64318997563463),
  (q 23355 65536, q 11679 32768, q 1 1, q 321589130339123 500000000000000, q 493866945873467 1000000000000000, q 403437044879480588279065 2121142381101942919135232, q 500000000000000 321589130339123),
  (q 11679 32768, q 23361 65536, q 1 1, q 643166546949271 1000000000000000, q 49386894270801 100000000000000, q 1076088039339659400851003 5656402553176001672642560, q 1000000000000000 643166546949271),
  (q 23361 65536, q 5841 16384, q 1 1, q 321577417223887 500000000000000, q 493870938753029 1000000000000000, q 65704398177031433178793 345291122527185443749888, q 500000000000000 321577417223887),
  (q 5841 16384, q 23367 65536, q 1 1, q 25725724926953 40000000000000, q 246936467004443 500000000000000, q 3229799997146359455240391 16969344799581852347138048, q 40000000000000 25725724926953),
  (q 23367 65536, q 11685 32768, q 1 1, q 643131413127491 1000000000000000, q 246937464237973 500000000000000, q 807642029327812268358959 4242353332237054385324032, q 1000000000000000 643131413127491),
  (q 11685 32768, q 23373 65536, q 1 1, q 643119704308841 1000000000000000, q 123469230538643 250000000000000, q 1051950389756552798245585 5524356194839324757327872, q 1000000000000000 643119704308841),
  (q 23373 65536, q 1461 4096, q 1 1, q 80388499589743 125000000000000, q 246939457522563 500000000000000, q 1027516725229508147529 5394780886132118781952, q 125000000000000 80388499589743),
  (q 1461 4096, q 23379 65536, q 1 1, q 160774072588717 250000000000000, q 49388090714797 100000000000000, q 1616436600167284462521977 8484809377277375131156480, q 250000000000000 160774072588717),
  (q 23379 65536, q 11691 32768, q 1 1, q 643084585219679 1000000000000000, q 123470724615867 250000000000000, q 526315348131872077280277 2762027262080246280617984, q 1000000000000000 643084585219679),
  (q 11691 32768, q 23385 65536, q 1 1, q 643072881312447 1000000000000000, q 493884888991981 1000000000000000, q 3234410524560530170488121 16969755569673190410027008, q 1000000000000000 643072881312447),
  (q 23385 65536, q 5847 16384, q 1 1, q 321530589316619 500000000000000, q 30867929920867 62500000000000, q 2861642374292018230711 15010471367157452111872, q 500000000000000 321530589316619),
  (q 5847 16384, q 23391 65536, q 1 1, q 16076236929553 25000000000000, q 246944433844751 500000000000000, q 1617974165325574716602471 8484946138339528690106368, q 25000000000000 16076236929553),
  (q 23391 65536, q 11697 32768, q 1 1, q 643037776959159 1000000000000000, q 246945427929617 500000000000000, q 526769109541838848259089 2761826222132130232664064, q 1000000000000000 643037776959159),
  (q 11697 32768, q 23397 65536, q 1 1, q 643026077964423 1000000000000000, q 123473210810857 250000000000000, q 3237486618688987554664033 16970028875671822615445504, q 1000000000000000 643026077964423),
  (q 23397 65536, q 2925 8192, q 1 1, q 321507190098989 500000000000000, q 246947414921223 500000000000000, q 8432958186103942871039 44192961288266466721792, q 500000000000000 321507190098989),
  (q 2925 8192, q 23403 65536, q 1 1, q 64300268365989 100000000000000, q 493896815656649 1000000000000000, q 202439086797287784412829 1060635335421924109975552, q 100000000000000 64300268365989),
  (q 23403 65536, q 11703 32768, q 1 1, q 321495494175113 500000000000000, q 493898800686399 1000000000000000, q 65902890841476048659109 345203158323367208026112, q 500000000000000 321495494175113)
]

/-- Cells `(a, b, w₀, w₁, w₂, λ, c)`, sorted by `a`: chunk 9. -/
def cells9 : List (ℚ × ℚ × ℚ × ℚ × ℚ × ℚ × ℚ) := [
  (q 11703 32768, q 23409 65536, q 1 1, q 160744823567263 250000000000000, q 98780156986411 200000000000000, q 2109346684020025209951641 11046300163562954259693568, q 250000000000000 160744823567263),
  (q 23409 65536, q 5853 16384, q 1 1, q 321483800708217 500000000000000, q 246951384196989 500000000000000, q 33763900498379824571223 176774686471333162778624, q 500000000000000 321483800708217),
  (q 5853 16384, q 23415 65536, q 1 1, q 642955909792437 1000000000000000, q 493904751072529 1000000000000000, q 3242104375311409328122939 16970438025564263832092672, q 1000000000000000 642955909792437),
  (q 23415 65536, q 11709 32768, q 1 1, q 321472109698563 500000000000000, q 123476683242017 250000000000000, q 65959674973474486760383 345178049432863125798912, q 500000000000000 321472109698563),
  (q 11709 32768, q 23421 65536, q 1 1, q 80366566278821 125000000000000, q 98781742816191 200000000000000, q 180202477331317054302829 942809677416496187310080, q 125000000000000 80366566278821),
  (q 23421 65536, q 183 512, q 1 1, q 321460421146413 500000000000000, q 9878213888231 20000000000000, q 64441483434133798781 337075682564021157888, q 500000000000000 321460421146413),
  (q 183 512, q 23427 65536, q 1 1, q 321454577791983 500000000000000, q 123478168490053 250000000000000, q 2112073090174399848117037 11045095190128439007903744, q 500000000000000 321454577791983),
  (q 23427 65536, q 11715 32768, q 1 1, q 160724367526013 250000000000000, q 493914652727301 1000000000000000, q 264065964397904318051817 1380611804389020528541696, q 250000000000000 160724367526013),
  (q 11715 32768, q 23433 65536, q 1 1, q 12857715717063 20000000000000, q 19756665228527 40000000000000, q 16233632362154277580465 84854231034543831252992, q 20000000000000 12857715717063),
  (q 23433 65536, q 5859 16384, q 1 1, q 321437051415661 500000000000000, q 98783721583639 200000000000000, q 101484288878126053793809 530341066973623542087680, q 500000000000000 321437051415661),
  (q 5859 16384, q 23439 65536, q 1 1, q 642862421038633 1000000000000000, q 493920584342719 1000000000000000, q 528472993572069336074587 2761073074188311087546368, q 1000000000000000 642862421038633),
  (q 23439 65536, q 11721 32768, q 1 1, q 160712685118787 250000000000000, q 246961279993553 500000000000000, q 25695443386047253098991 134217728000000000000000, q 250000000000000 160712685118787),
  (q 11721 32768, q 23445 65536, q 1 1, q 10044360330327 15625000000000, q 493924534851713 1000000000000000, q 2114801800477498851444233 11043890976766520828362752, q 15625000000000 10044360330327),
  (q 23445 65536, q 2931 8192, q 1 1, q 642827383036039 1000000000000000, q 4939265089369 10000000000000, q 50790336520247904348943 265174775313929653452800, q 1000000000000000 642827383036039),
  (q 2931 8192, q 23451 65536, q 1 1, q 642815706160543 1000000000000000, q 19757139289721 40000000000000, q 1057855941406117771349671 5521744870629355821203456, q 1000000000000000 642815706160543),
  (q 23451 65536, q 11727 32768, q 1 1, q 80350503814313 125000000000000, q 98786090954089 200000000000000, q 18477979590623337798847 96427961351703111925760, q 125000000000000 80350503814313),
  (q 11727 32768, q 23457 65536, q 1 1, q 642792356097983 1000000000000000, q 493932426519519 1000000000000000, q 529155555333869888201691 2760772147559623156563968, q 1000000000000000 642792356097983),
  (q 23457 65536, q 5865 16384, q 1 1, q 160695170727761 250000000000000, q 493934397490603 1000000000000000, q 50838558772149279882667 265179010448950544039936, q 250000000000000 160695170727761),
  (q 5865 16384, q 23463 65536, q 1 1, q 514215208763 800000000000, q 61742045960507 125000000000000, q 73964536800739200228569 385716462819645778296832, q 800000000000 514215208763),
  (q 23463 65536, q 11733 32768, q 1 1, q 321378670113081 500000000000000, q 246969168550117 500000000000000, q 406901449722743636598979 2121449004086128503947264, q 500000000000000 321378670113081),
  (q 11733 32768, q 23469 65536, q 1 1, q 642745670728343 1000000000000000, q 98788061147899 200000000000000, q 3295928333082173368365137 17179869184000000000000000, q 1000000000000000 642745670728343),
  (q 23469 65536, q 1467 4096, q 1 1, q 321367001230177 500000000000000, q 98788454720439 200000000000000, q 6438861118575191679337 33554432000000000000000, q 500000000000000 321367001230177),
  (q 1467 4096, q 23475 65536, q 1 1, q 642722335422257 1000000000000000, q 493944240688691 1000000000000000, q 3297465573642735682650167 17179869184000000000000000, q 1000000000000000 642722335422257),
  (q 23475 65536, q 11739 32768, q 1 1, q 321355334807057 500000000000000, q 493946206999339 1000000000000000, q 407287589941316559614327 2121482805045407298617344, q 500000000000000 321355334807057),
  (q 11739 32768, q 23481 65536, q 1 1, q 128539801007197 200000000000000, q 15435880391703 31250000000000, q 1086357767302327837946297 5657309991879002004914176, q 200000000000000 128539801007197),
  (q 23481 65536, q 5871 16384, q 1 1, q 642687341687933 1000000000000000, q 246975068647259 500000000000000, q 203740375317486999321397 1060749842767332365041664, q 1000000000000000 642687341687933),
  (q 5871 16384, q 23487 65536, q 1 1, q 642675679570017 1000000000000000, q 493952101279761 1000000000000000, q 9303411220543473188237 48425807468206988722176, q 1000000000000000 642675679570017),
  (q 23487 65536, q 11745 32768, q 1 1, q 642664018682299 1000000000000000, q 24697703224529 50000000000000, q 530408416125983716423765 2760220942556407219093504, q 1000000000000000 642664018682299),
  (q 11745 32768, q 23493 65536, q 1 1, q 642652359024839 1000000000000000, q 493956026927331 1000000000000000, q 265261204355116999606401 1380085432354466978332672, q 1000000000000000 642652359024839),
  (q 23493 65536, q 2937 8192, q 1 1, q 642640700597697 1000000000000000, q 493957988590369 1000000000000000, q 33164776082816986697113 172507549509102266744832, q 1000000000000000 642640700597697),
  (q 2937 8192, q 23499 65536, q 1 1, q 321314521700467 500000000000000, q 493959949480049 1000000000000000, q 815927833312561555803929 4243083657101245318955008, q 500000000000000 321314521700467),
  (q 23499 65536, q 11751 32768, q 1 1, q 642617387434609 1000000000000000, q 493961909596727 1000000000000000, q 816121190354458396526093 4243100494375302027280384, q 1000000000000000 642617387434609),
  (q 11751 32768, q 23505 65536, q 1 1, q 321302866349391 500000000000000, q 493963868940757 1000000000000000, q 408157288806748781956859 2121558662506181476483072, q 500000000000000 321302866349391),
  (q 23505 65536, q 5877 16384, q 1 1, q 642594079193513 1000000000000000, q 246982913756247 500000000000000, q 68042332924354848104291 353594512417956460232704, q 1000000000000000 642594079193513),
  (q 5877 16384, q 23511 65536, q 1 1, q 32129121345943 50000000000000, q 493967785312293 1000000000000000, q 2124826803620326969238823 11039482034403254982410240, q 50000000000000 32129121345943),
  (q 23511 65536, q 11757 32768, q 1 1, q 160642693968721 250000000000000, q 246984871170253 500000000000000, q 102111865089907325156149 530395972141504941522944, q 250000000000000 160642693968721),
  (q 11757 32768, q 23517 65536, q 1 1, q 321279563030821 500000000000000, q 49397169859749 100000000000000, q 2125739706392815797630555 11039081728724374680240128, q 500000000000000 321279563030821),
  (q 23517 65536, q 735 2048, q 1 1, q 321273738739597 500000000000000, q 493973654083597 1000000000000000, q 1038181764660333051389 5390078909961786621952, q 500000000000000 321273738739597),
  (q 735 2048, q 23523 65536, q 1 1, q 642535830127599 1000000000000000, q 24698780439959 50000000000000, q 3269902143488562331238437 16972872678513343452938240, q 1000000000000000 642535830127599),
  (q 23523 65536, q 11763 32768, q 1 1, q 321262092003457 500000000000000, q 98795512548919 200000000000000, q 33236086590701816026499 172476272324923866742784, q 500000000000000 321262092003457),
  (q 11763 32768, q 23529 65536, q 1 1, q 321256269558599 500000000000000, q 493979515920193 1000000000000000, q 408931381906201039861079 2121625865771140281008128, q 500000000000000 321256269558599),
  (q 23529 65536, q 5883 16384, q 1 1, q 160625223864627 250000000000000, q 493981468326329 1000000000000000, q 16625180361806438393233 86235010426406462029824, q 250000000000000 160625223864627),
  (q 5883 16384, q 23535 65536, q 1 1, q 80311156628863 125000000000000, q 246991709981677 500000000000000, q 1636500225428140946066047 8486570534035355793883136, q 125000000000000 80311156628863),
  (q 23535 65536, q 11769 32768, q 1 1, q 642477611834441 1000000000000000, q 493985370831623 1000000000000000, q 532234221896563876852259 2759420331241106661441536, q 1000000000000000 642477611834441),
  (q 11769 32768, q 2943 8192, q 1 1, q 642454333135171 1000000000000000, q 246994635131649 500000000000000, q 5686328909127340433051 29467607782719030820864, q 1000000000000000 642454333135171),
  (q 2943 8192, q 11775 32768, q 1 1, q 160607764840289 250000000000000, q 246996583312087 500000000000000, q 266345657576792785207093 1379610194945399836377088, q 250000000000000 160607764840289),
  (q 11775 32768, q 5889 16384, q 1 1, q 12848155810257 20000000000000, q 98799411983413 200000000000000, q 165913292454902520813 858993459200000000000, q 20000000000000 12848155810257),
  (q 5889 16384, q 11781 32768, q 1 1, q 321192263295351 500000000000000, q 30875059384049 62500000000000, q 33321791581763712910991 172438783322719216730112, q 500000000000000 321192263295351),
  (q 11781 32768, q 1473 4096, q 1 1, q 321180633797581 500000000000000, q 494004837310141 1000000000000000, q 6487021299091902963229 33554432000000000000000, q 500000000000000 321180633797581),
  (q 1473 4096, q 11787 32768, q 1 1, q 642338013526673 1000000000000000, q 494008721415943 1000000000000000, q 820770830433871093369573 4243502604840499996000256, q 1000000000000000 642338013526673),
  (q 11787 32768, q 5895 16384, q 1 1, q 160578691096419 250000000000000, q 247006301232497 500000000000000, q 16682349137847994245743 86210028336700748464128, q 250000000000000 160578691096419),
  (q 5895 16384, q 11793 32768, q 1 1, q 642291520172611 1000000000000000, q 98803296092019 200000000000000, q 534064136653986759551901 2758621073639488519929856, q 1000000000000000 642291520172611),
  (q 11793 32768, q 2949 8192, q 1 1, q 642268280887913 1000000000000000, q 494020355404043 1000000000000000, q 51370997760872173974737 265225158752332693897216, q 1000000000000000 642268280887913),
  (q 2949 8192, q 11799 32768, q 1 1, q 321122523266007 500000000000000, q 98804845459927 200000000000000, q 416135757607816168120317 2147483648000000000000000, q 500000000000000 321122523266007),
  (q 11799 32768, q 5901 16384, q 1 1, q 642221817105343 1000000000000000, q 247014048074831 500000000000000, q 208164609530381286493087 1073741824000000000000000, q 1000000000000000 642221817105343),
  (q 5901 16384, q 11805 32768, q 1 1, q 642198592608327 1000000000000000, q 247015980978457 500000000000000, q 823102188515954079372611 4243702239567323582169088, q 1000000000000000 642198592608327),
  (q 11805 32768, q 369 1024, q 1 1, q 642175373041389 1000000000000000, q 247017912362089 500000000000000, q 2083581623041389 10737418240000000, q 1000000000000000 642175373041389),
  (q 369 1024, q 11811 32768, q 1 1, q 642152158404949 1000000000000000, q 123509921113559 250000000000000, q 823880277575560326542009 4243768575314206457331712, q 1000000000000000 642152158404949),
  (q 11811 32768, q 5907 16384, q 1 1, q 25685157947977 40000000000000, q 49404354114987 100000000000000, q 4579275022315080794021 23576676133763576496128, q 40000000000000 25685157947977),
  (q 5907 16384, q 11817 32768, q 1 1, q 642105743925231 1000000000000000, q 494047394813859 1000000000000000, q 834594879374178748916211 4294967296000000000000000, q 1000000000000000 642105743925231),
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  (q 1479 4096, q 11835 32768, q 1 1, q 160491654715203 250000000000000, q 247035226644207 500000000000000, q 104615328796192292178681 536870912000000000000000, q 250000000000000 160491654715203),
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  (q 11853 32768, q 741 2048, q 1 1, q 641804530794761 1000000000000000, q 494097217824601 1000000000000000, q 3279858946229176922849 16777216000000000000000, q 1000000000000000 641804530794761),
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  (q 11871 32768, q 5937 16384, q 1 1, q 641665790697327 1000000000000000, q 98824008418089 200000000000000, q 45022542296359947373697 229661132167250041634816, q 1000000000000000 641665790697327),
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  (q 5997 16384, q 375 1024, q 1 1, q 320349796212237 500000000000000, q 98855368796479 200000000000000, q 419172621381535496157 2097152000000000000000, q 500000000000000 320349796212237),
  (q 375 1024, q 6003 16384, q 1 1, q 320326900343363 500000000000000, q 123571045784653 250000000000000, q 106179150536181897992951 530733600377603293708288, q 500000000000000 320326900343363),
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  (q 753 2048, q 6027 16384, q 1 1, q 640288179993417 1000000000000000, q 494342486329673 1000000000000000, q 213950598896335333644089 1061592405904636304687104, q 1000000000000000 640288179993417),
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  (q 1509 4096, q 6039 16384, q 1 1, q 160026461322509 250000000000000, q 247185683346993 500000000000000, q 2171947161170260924811 10737418240000000000000, q 250000000000000 160026461322509),
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  (q 189 512, q 6051 16384, q 1 1, q 639923827807083 1000000000000000, q 247200033989561 500000000000000, q 139498434458580031177471 687112978090639220539392, q 1000000000000000 639923827807083),
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  (q 1515 4096, q 6063 16384, q 1 1, q 319871063812491 500000000000000, q 494428591477961 1000000000000000, q 109395881401368119652471 536870912000000000000000, q 500000000000000 319871063812491),
  (q 6063 16384, q 3033 8192, q 1 1, q 639696752166143 1000000000000000, q 15451115460127 31250000000000, q 54747987759443644144223 268435456000000000000000, q 1000000000000000 639696752166143),
  (q 3033 8192, q 6069 16384, q 1 1, q 79956424568003 125000000000000, q 494442786958653 1000000000000000, q 273990329094303022973 1342177280000000000000, q 125000000000000 79956424568003),
  (q 6069 16384, q 759 2048, q 1 1, q 639606060759577 1000000000000000, q 494449868201621 1000000000000000, q 3428010930571386828457 16777216000000000000000, q 1000000000000000 639606060759577),
  (q 759 2048, q 6075 16384, q 1 1, q 127912148962743 200000000000000, q 494456938472819 1000000000000000, q 217158822020577543189779 1061838190010520894963712, q 200000000000000 127912148962743),
  (q 6075 16384, q 3039 8192, q 1 1, q 639515448707311 1000000000000000, q 494463997792061 1000000000000000, q 54948486103126119956959 268435456000000000000000, q 1000000000000000 639515448707311),
  (q 3039 8192, q 6081 16384, q 1 1, q 639470172441197 1000000000000000, q 123617761544779 250000000000000, q 219994753068963088265813 1073741824000000000000000, q 1000000000000000 639470172441197),
  (q 6081 16384, q 1521 4096, q 1 1, q 639424916016167 1000000000000000, q 98895616730743 200000000000000, q 13610242601069886094823 66367724933795566059520, q 1000000000000000 639424916016167),
  (q 1521 4096, q 6087 16384, q 1 1, q 25575187177319 40000000000000, q 494485110235549 1000000000000000, q 140917198914887173941259 686528703222897862246400, q 40000000000000 25575187177319),
  (q 6087 16384, q 3045 8192, q 1 1, q 39958403918271 62500000000000, q 494492125944267 1000000000000000, q 1469123494732016825837 7150834917888841744384, q 62500000000000 39958403918271),
  (q 3045 8192, q 6093 16384, q 1 1, q 639289265794927 1000000000000000, q 12362478269987 25000000000000, q 220799230170562937772367 1073741824000000000000000, q 1000000000000000 639289265794927),
  (q 6093 16384, q 381 1024, q 1 1, q 319622044370691 500000000000000, q 123626531205189 250000000000000, q 142299713662041614537 691369672453398724608, q 500000000000000 319622044370691),
  (q 381 1024, q 6099 16384, q 1 1, q 319599465766151 500000000000000, q 494513108027627 1000000000000000, q 109387394732593715486875 530979406605493257371648, q 500000000000000 319599465766151),
  (q 6099 16384, q 3051 8192, q 1 1, q 127830758833649 200000000000000, q 247260040219791 500000000000000, q 6082703963418854237077 29499271843101305470976, q 200000000000000 127830758833649),
  (q 3051 8192, q 6105 16384, q 1 1, q 639108676649731 1000000000000000, q 61815880259509 125000000000000, q 141630123870786132261287 686237716200108373049344, q 1000000000000000 639108676649731),
  (q 6105 16384, q 1527 4096, q 1 1, q 159765894744311 250000000000000, q 247266996478253 500000000000000, q 3427856579627637040639 16593807238347559534592, q 250000000000000 159765894744311),
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  (q 6111 16384, q 3057 8192, q 1 1, q 127794688634417 200000000000000, q 247273931263327 500000000000000, q 54947198938291113912101 265508361982335357288448, q 200000000000000 127794688634417),
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  (q 765 2048, q 3063 8192, q 1 1, q 63879340973107 100000000000000, q 494575473443967 1000000000000000, q 5575545264572250296347 26843545600000000000000, q 100000000000000 63879340973107),
  (q 3063 8192, q 1533 4096, q 1 1, q 638703512099589 1000000000000000, q 247294607549117 500000000000000, q 13813106279821945359181 66382640743788264292352, q 1000000000000000 638703512099589),
  (q 1533 4096, q 3069 8192, q 1 1, q 63861369386271 100000000000000, q 15456341075623 31250000000000, q 17867913303195332851447 85713279059940480122880, q 100000000000000 63861369386271),
  (q 3069 8192, q 3 8, q 1 1, q 638523955021129 1000000000000000, q 98923314312213 200000000000000, q 34137469341687969 163462132485409024, q 1000000000000000 638523955021129),
  (q 3 8, q 3075 8192, q 1 1, q 79804286946869 125000000000000, q 494630186672997 1000000000000000, q 1120490673524894869359 5355575039334406946816, q 125000000000000 79804286946869),
  (q 3075 8192, q 1539 4096, q 1 1, q 638344715523699 1000000000000000, q 123660939976623 250000000000000, q 2992978179178440933033 14279529566399534989312, q 1000000000000000 638344715523699),
  (q 1539 4096, q 3081 8192, q 1 1, q 63825521486631 100000000000000, q 494657291411697 1000000000000000, q 9293937385847589048393 44261185194607922642944, q 100000000000000 63825521486631),
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  (q 771 2048, q 3087 8192, q 1 1, q 638076451725999 1000000000000000, q 247342114917393 500000000000000, q 2262816303770479949271 10737418240000000000000, q 1000000000000000 638076451725999),
  (q 3087 8192, q 1545 4096, q 1 1, q 127597437847617 200000000000000, q 247348818524963 500000000000000, q 9039136590514913336101 42814595516320909885440, q 200000000000000 127597437847617),
  (q 1545 4096, q 3093 8192, q 1 1, q 318949003067031 500000000000000, q 494711003131297 1000000000000000, q 18108457041902173790531 85617221079043865051136, q 500000000000000 318949003067031),
  (q 3093 8192, q 387 1024, q 1 1, q 637808902410023 1000000000000000, q 247362164113013 500000000000000, q 888720058361271599327 4194304000000000000000, q 1000000000000000 637808902410023),
  (q 387 1024, q 3099 8192, q 1 1, q 127543975612301 200000000000000, q 494737612480643 1000000000000000, q 56381182683518040351497 265610233213185389756416, q 200000000000000 127543975612301),
  (q 3099 8192, q 1551 4096, q 1 1, q 637630933083491 1000000000000000, q 98950171208217 200000000000000, q 672435084852873433239 3162111229709023969280, q 1000000000000000 637630933083491),
  (q 1551 4096, q 3105 8192, q 1 1, q 637542067470417 1000000000000000, q 247382029526349 500000000000000, q 18862678982597462259659 88541477202814610440192, q 1000000000000000 637542067470417),
  (q 3105 8192, q 777 2048, q 1 1, q 637453281216171 1000000000000000, q 494777221660241 1000000000000000, q 2282484302217406442171 10694691388872443559936, q 1000000000000000 637453281216171),
  (q 777 2048, q 3111 8192, q 1 1, q 318682287157051 500000000000000, q 98958068801577 200000000000000, q 18290257656261327089847 85545625072125928800256, q 500000000000000 318682287157051),
  (q 3111 8192, q 1557 4096, q 1 1, q 637275946757019 1000000000000000, q 494803426239221 1000000000000000, q 9160337099452819941011 42766864841388029116416, q 1000000000000000 637275946757019),
  (q 1557 4096, q 3117 8192, q 1 1, q 1592968496343 2500000000000, q 494816468497257 1000000000000000, q 148445967789635959467 691803564361306341376, q 2500000000000 1592968496343),
  (q 3117 8192, q 195 512, q 1 1, q 63709892964639 100000000000000, q 494829470924427 1000000000000000, q 37179277059479596753 172955435768017321984, q 100000000000000 63709892964639),
  (q 195 512, q 3123 8192, q 1 1, q 63701054007581 100000000000000, q 494842433662587 1000000000000000, q 5780790962162333561021 26843545600000000000000, q 100000000000000 63701054007581),
  (q 3123 8192, q 1563 4096, q 1 1, q 318461114908079 500000000000000, q 494855356853021 1000000000000000, q 7164497889486993943495 33209180842720854278144, q 500000000000000 318461114908079),
  (q 1563 4096, q 3129 8192, q 1 1, q 636833998857613 1000000000000000, q 98973648127289 200000000000000, q 58015926448038041417677 268435456000000000000000, q 1000000000000000 636833998857613),
  (q 3129 8192, q 783 2048, q 1 1, q 636745847189839 1000000000000000, q 98976217030601 200000000000000, q 3595318800001030936879 16605453719852715868160, q 1000000000000000 636745847189839),
  (q 783 2048, q 3135 8192, q 1 1, q 63665777480199 100000000000000, q 98978778108457 200000000000000, q 3706904859998257719779 17090152009491749535744, q 100000000000000 63665777480199),
  (q 3135 8192, q 1569 4096, q 1 1, q 636569781682711 1000000000000000, q 61863332117913 125000000000000, q 1603742313120110244223 7380583007445076410368, q 1000000000000000 636569781682711),
  (q 1569 4096, q 3141 8192, q 1 1, q 39780116738759 62500000000000, q 123729846123631 250000000000000, q 456511563275540873233 2097152000000000000000, q 62500000000000 39780116738759),
  (q 3141 8192, q 393 1024, q 1 1, q 636394033201929 1000000000000000, q 494932073333847 1000000000000000, q 914659150834935696729 4194304000000000000000, q 1000000000000000 636394033201929),
  (q 393 1024, q 3147 8192, q 1 1, q 636306277815211 1000000000000000, q 247472361799311 500000000000000, q 19350034964896449163073 88573808382660038361088, q 1000000000000000 636306277815211),
  (q 3147 8192, q 1575 4096, q 1 1, q 318109300823321 500000000000000, q 494957335425647 1000000000000000, q 4672069543743930862561 21347953806087337017344, q 500000000000000 318109300823321),
  (q 1575 4096, q 3153 8192, q 1 1, q 39758187792649 62500000000000, q 494969908951167 1000000000000000, q 606885335514555413521 2768072358658020737024, q 62500000000000 39758187792649),
  (q 3153 8192, q 789 2048, q 1 1, q 39752717931757 62500000000000, q 494982444310883 1000000000000000, q 230305776867173892457 1048576000000000000000, q 62500000000000 39752717931757),
  (q 789 2048, q 1581 4096, q 1 1, q 635868688869821 1000000000000000, q 495007401072973 1000000000000000, q 9405942798303865613077 42672425363223131193344, q 1000000000000000 635868688869821),
  (q 1581 4096, q 99 256, q 1 1, q 63569420740759 100000000000000, q 24751610339333 50000000000000, q 3686306877956892943 16664342230665527296, q 100000000000000 63569420740759),
  (q 99 256, q 1587 4096, q 1 1, q 317760021194843 500000000000000, q 495056862518081 1000000000000000, q 7375386926799617983363 33222703658992595369984, q 500000000000000 317760021194843),
  (q 1587 4096, q 795 2048, q 1 1, q 635346193676933 1000000000000000, q 495081369324851 1000000000000000, q 2374788389567162436509 10659340326095739158528, q 1000000000000000 635346193676933),
  (q 795 2048, q 1593 4096, q 1 1, q 31758633056141 50000000000000, q 123776432064033 250000000000000, q 2382589717351123999173 10656428932952353669120, q 50000000000000 31758633056141),
  (q 1593 4096, q 399 1024, q 1 1, q 63499944457361 100000000000000, q 61891242544089 125000000000000, q 3764425281207772121 16777216000000000000, q 100000000000000 63499944457361),
  (q 399 1024, q 1599 4096, q 1 1, q 634826543868441 1000000000000000, q 495154006647079 1000000000000000, q 1151131840813311056029 5112188137097526247424, q 1000000000000000 634826543868441),
  (q 1599 4096, q 801 2048, q 1 1, q 317326979419719 500000000000000, q 247588964081747 500000000000000, q 1203047645453757462743 5323863276352180322304, q 500000000000000 317326979419719),
  (q 801 2048, q 1605 4096, q 1 1, q 634481689311811 1000000000000000, q 495201705918063 1000000000000000, q 9655857664514848239003 42579345398516577992704, q 1000000000000000 634481689311811),
  (q 1605 4096, q 201 512, q 1 1, q 317154867551979 500000000000000, q 495225340918809 1000000000000000, q 119315257674943758939 524288000000000000000, q 500000000000000 317154867551979),
  (q 201 512, q 1611 4096, q 1 1, q 126827619205513 200000000000000, q 99049766833149 200000000000000, q 1943802955759462795761 8511257448706559967232, q 200000000000000 126827619205513),
  (q 1611 4096, q 807 2048, q 1 1, q 19811461621491 31250000000000, q 99054437330189 200000000000000, q 6264399784696884323 27333185704721121280, q 31250000000000 19811461621491),
  (q 807 2048, q 1617 4096, q 1 1, q 633795762482961 1000000000000000, q 123823849839653 250000000000000, q 493208624200354923407 2144433006153727737856, q 1000000000000000 633795762482961),
  (q 1617 4096, q 405 1024, q 1 1, q 79203133450683 125000000000000, q 123829618316287 250000000000000, q 121008346743062117043 524288000000000000000, q 125000000000000 79203133450683),
  (q 405 1024, q 1623 4096, q 1 1, q 633454687041051 1000000000000000, q 247670704669611 500000000000000, q 5132916204123491920185 22161199515276119375872, q 1000000000000000 633454687041051),
  (q 1623 4096, q 813 2048, q 1 1, q 633284620569331 1000000000000000, q 247682104270921 500000000000000, q 2469525542754310160459 10624752868769709162496, q 1000000000000000 633284620569331),
  (q 813 2048, q 1629 4096, q 1 1, q 316557433981891 500000000000000, q 30961679489151 62500000000000, q 4955062557936883231011 21243809785279701581824, q 500000000000000 316557433981891),
  (q 1629 4096, q 51 128, q 1 1, q 316472714495923 500000000000000, q 19816376005553 40000000000000, q 4854598020889666795 20740355817204809728, q 500000000000000 316472714495923),
  (q 51 128, q 1635 4096, q 1 1, q 31638815170751 50000000000000, q 123857948604371 250000000000000, q 788144016645131926031 3355443200000000000000, q 50000000000000 31638815170751),
  (q 1635 4096, q 819 2048, q 1 1, q 126521498197789 200000000000000, q 495454055593411 1000000000000000, q 790901668665648278629 3355443200000000000000, q 200000000000000 126521498197789),
  (q 819 2048, q 1641 4096, q 1 1, q 632438991463499 1000000000000000, q 49547618459029 100000000000000, q 10038904600548998434891 42442262266421115355136, q 1000000000000000 632438991463499),
  (q 1641 4096, q 411 1024, q 1 1, q 158067701145721 250000000000000, q 247749091162267 500000000000000, q 246645545531625363569 1039135004058261127168, q 250000000000000 158067701145721),
  (q 411 1024, q 825 2048, q 1 1, q 157983841926273 250000000000000, q 99108357526963 200000000000000, q 1002497069597837150337 4194304000000000000000, q 250000000000000 157983841926273),
  (q 825 2048, q 207 512, q 1 1, q 126320235639789 200000000000000, q 247792439356291 500000000000000, q 159397384766342031233 662281837031136952320, q 200000000000000 126320235639789),
  (q 207 512, q 831 2048, q 1 1, q 63126823382249 100000000000000, q 495627462633859 1000000000000000, q 2015217888695051390573 8315248996140181356544, q 100000000000000 63126823382249),
  (q 831 2048, q 417 1024, q 1 1, q 126187306450217 200000000000000, q 495669546364317 1000000000000000, q 204709666304440335593 838860800000000000000, q 200000000000000 126187306450217),
  (q 417 1024, q 837 2048, q 1 1, q 78825758884999 125000000000000, q 247855568380589 500000000000000, q 324961215083210230547 1322476783177547382784, q 125000000000000 78825758884999),
  (q 837 2048, q 105 256, q 1 1, q 126055369565381 200000000000000, q 247876120287549 500000000000000, q 12971845535156846741 52428800000000000000, q 200000000000000 126055369565381),
  (q 105 256, q 843 2048, q 1 1, q 125989771986881 200000000000000, q 495792864451999 1000000000000000, q 2632926903586013601661 10568788092073258516480, q 200000000000000 125989771986881),
  (q 843 2048, q 423 1024, q 1 1, q 629622104772377 1000000000000000, q 495833014934881 1000000000000000, q 662412710436646326601 2640826512535199940608, q 1000000000000000 629622104772377),
  (q 423 1024, q 849 2048, q 1 1, q 19665518113761 31250000000000, q 495872698465587 1000000000000000, q 13887735599692090421 54988774191080144896, q 31250000000000 19665518113761),
  (q 849 2048, q 213 512, q 1 1, q 628972281769801 1000000000000000, q 495911921386543 1000000000000000, q 264456316514454931009 1040002677759631425536, q 1000000000000000 628972281769801),
  (q 213 512, q 855 2048, q 1 1, q 628649208326371 1000000000000000, q 247975344971231 500000000000000, q 2700246059390903956723 10546983556320524763136, q 1000000000000000 628649208326371),
  (q 855 2048, q 429 1024, q 1 1, q 78540919551509 125000000000000, q 15499656571313 31250000000000, q 134059054373965641773 520082172445475209216, q 125000000000000 78540919551509),
  (q 429 1024, q 861 2048, q 1 1, q 314003361533701 500000000000000, q 12400672211487 25000000000000, q 2176991597807476732429 8388608000000000000000, q 500000000000000 314003361533701),
  (q 861 2048, q 27 64, q 1 1, q 78460913159179 125000000000000, q 31004020652271 62500000000000, q 335874011986534899 1285503601199988736, q 125000000000000 78460913159179),
  (q 27 64, q 867 2048, q 1 1, q 313684549976917 500000000000000, q 248050671041431 500000000000000, q 1384350277551584128813 5262753450825531523072, q 500000000000000 313684549976917),
  (q 867 2048, q 435 1024, q 1 1, q 313526051988429 500000000000000, q 496137929179677 1000000000000000, q 116083034713973513447 438341191319758569472, q 500000000000000 313526051988429),
  (q 435 1024, q 219 512, q 1 1, q 626421727258229 1000000000000000, q 62026231550933 125000000000000, q 281439087194936095661 1048576000000000000000, q 1000000000000000 626421727258229),
  (q 219 512, q 441 1024, q 1 1, q 625796149027433 1000000000000000, q 124070036157159 250000000000000, q 377470450218279546035 1387699863824310992896, q 1000000000000000 625796149027433),
  (q 441 1024, q 111 256, q 1 1, q 625175342426543 1000000000000000, q 49634884901213 100000000000000, q 45175938732287443727 163885964965063688192, q 1000000000000000 625175342426543),
  (q 111 256, q 447 1024, q 1 1, q 312279639942597 500000000000000, q 24820800371583 50000000000000, q 121955407116023672887 436598580976598122496, q 500000000000000 312279639942597),
  (q 447 1024, q 225 512, q 1 1, q 311973966586641 500000000000000, q 99296332101773 200000000000000, q 29470037840595568861 104119750729948725248, q 500000000000000 311973966586641),
  (q 225 512, q 453 1024, q 1 1, q 7791765918139 12500000000000, q 3103411547843 6250000000000, q 9372337734941563351 32681034957514080256, q 12500000000000 7791765918139),
  (q 453 1024, q 57 128, q 1 1, q 12454785426343 20000000000000, q 99321721422079 200000000000000, q 1891284121795542803 6509148335117369344, q 20000000000000 12454785426343),
  (q 57 128, q 459 1024, q 1 1, q 311070948426663 500000000000000, q 49666997598427 100000000000000, q 384068394011071065167 1304726123269746327552, q 500000000000000 311070948426663),
  (q 459 1024, q 231 512, q 1 1, q 155387279917071 250000000000000, q 496729990290749 1000000000000000, q 77662691290936644191 260429573149556211712, q 250000000000000 155387279917071),
  (q 231 512, q 465 1024, q 1 1, q 620960908938373 1000000000000000, q 496788684985343 1000000000000000, q 786784409697571984613 2604498824203853627392, q 1000000000000000 620960908938373),
  (q 465 1024, q 117 256, q 1 1, q 24815089337867 40000000000000, q 62105761749927 125000000000000, q 49763796560270546811 162628169484645171200, q 40000000000000 24815089337867),
  (q 117 256, q 237 512, q 1 1, q 619223361564497 1000000000000000, q 496957185789671 1000000000000000, q 13166817856277204513 41943040000000000000, q 1000000000000000 619223361564497),
  (q 237 512, q 15 32, q 1 1, q 154521811946087 250000000000000, q 12426587946691 25000000000000, q 65554881768162539 203597216918585344, q 250000000000000 154521811946087),
  (q 15 32, q 243 512, q 1 1, q 123393726352869 200000000000000, q 248582664034053 500000000000000, q 71202913361889010123 215646166673643274240, q 200000000000000 123393726352869),
  (q 243 512, q 123 256, q 1 1, q 30793362500003 50000000000000, q 24863142038129 50000000000000, q 2732674082125769003 8072295219200786432, q 50000000000000 30793362500003),
  (q 123 256, q 249 512, q 1 1, q 614782836672437 1000000000000000, q 497356267704727 1000000000000000, q 223697213043699837733 644646527746637299712, q 1000000000000000 614782836672437),
  (q 249 512, q 63 128, q 1 1, q 306857562205003 500000000000000, q 497445808817799 1000000000000000, q 1288204887146326899 3622289836298141696, q 500000000000000 306857562205003),
  (q 63 128, q 255 512, q 1 1, q 612663844973017 1000000000000000, q 99506330585677 200000000000000, q 382103038942746890713 1048576000000000000000, q 1000000000000000 612663844973017),
  (q 255 512, q 129 256, q 1 1, q 305814364933221 500000000000000, q 497613978450419 1000000000000000, q 29927780974747533925 80167400881054285824, q 500000000000000 305814364933221),
  (q 129 256, q 33 64, q 1 1, q 609605920618331 1000000000000000, q 248884369553047 500000000000000, q 6415726315404612731 16384000000000000000, q 1000000000000000 609605920618331),
  (q 33 64, q 135 256, q 1 1, q 303822281499627 500000000000000, q 124477833260077 250000000000000, q 32690272358460807419 79645188161438220288, q 500000000000000 303822281499627),
  (q 135 256, q 69 128, q 1 1, q 302871274328527 500000000000000, q 99608574510203 200000000000000, q 8533424197759011959 19848971834394345472, q 500000000000000 302871274328527),
  (q 69 128, q 141 256, q 1 1, q 603897804921259 1000000000000000, q 49816435501569 100000000000000, q 71238885103502698851 158308186173278519296, q 1000000000000000 603897804921259),
  (q 141 256, q 9 16, q 1 1, q 602108302805621 1000000000000000, q 124569169008421 250000000000000, q 482006303174149949 1024000000000000000, q 1000000000000000 602108302805621),
  (q 9 16, q 147 256, q 1 1, q 30018603153033 50000000000000, q 124595160232703 250000000000000, q 19360248422994946613 39345983524743413760, q 50000000000000 30018603153033),
  (q 147 256, q 75 128, q 1 1, q 5986871606223 10000000000000, q 498476974845931 1000000000000000, q 5042137736682427711 9808890439635763200, q 10000000000000 5986871606223),
  (q 75 128, q 153 256, q 1 1, q 597051727745173 1000000000000000, q 498566331587799 1000000000000000, q 140686709432792451397 262144000000000000000, q 1000000000000000 597051727745173),
  (q 153 256, q 39 64, q 1 1, q 11909279121223 20000000000000, q 249324650711911 500000000000000, q 2731606332748911391 4878040728052940800, q 20000000000000 11909279121223),
  (q 39 64, q 159 256, q 1 1, q 296961048881751 500000000000000, q 249363208969807 500000000000000, q 45458986341311272855 77846557198057734144, q 500000000000000 296961048881751),
  (q 159 256, q 81 128, q 1 1, q 148106116520879 250000000000000, q 15587442627781 31250000000000, q 5907390074794505807 9706282452312326144, q 250000000000000 148106116520879),
  (q 81 128, q 165 256, q 1 1, q 29548471759917 50000000000000, q 249432488768789 500000000000000, q 24553373713789416697 38729772905158410240, q 50000000000000 29548471759917),
  (q 165 256, q 21 32, q 1 1, q 147388859921339 250000000000000, q 498927255389103 1000000000000000, q 224803410081702017 340601006345627648, q 250000000000000 147388859921339),
  (q 21 32, q 171 256, q 1 1, q 23527238944749 40000000000000, q 31186584898219 62500000000000, q 105894097465541470909 154188113148307046400, q 40000000000000 23527238944749),
  (q 171 256, q 87 128, q 1 1, q 146711147346847 250000000000000, q 249519807274797 500000000000000, q 144199421870620063 201883087525445632, q 250000000000000 146711147346847),
  (q 87 128, q 177 256, q 1 1, q 146386224074999 250000000000000, q 249545161311123 500000000000000, q 16190431734434666973 21805588922247675904, q 250000000000000 146386224074999),
  (q 177 256, q 45 64, q 1 1, q 584280559030851 1000000000000000, q 49913775485443 100000000000000, q 81404025176029889 105520941619806208, q 1000000000000000 584280559030851),
  (q 45 64, q 183 256, q 1 1, q 7288128699391 12500000000000, q 499182159687919 1000000000000000, q 7653224769191057179 9552696048865771520, q 12500000000000 7288128699391),
  (q 183 256, q 93 128, q 1 1, q 581852877382879 1000000000000000, q 499223764068821 1000000000000000, q 31711917122073888983 38132310172164358144, q 1000000000000000 581852877382879),
  (q 93 128, q 189 256, q 1 1, q 290343561901183 500000000000000, q 249631387762627 500000000000000, q 112931133050961297271 130878741027292184576, q 500000000000000 290343561901183),
  (q 189 256, q 3 4, q 1 1, q 579551904022191 1000000000000000, q 62412423003033 125000000000000, q 11064192648119043 12363773952473408, q 1000000000000000 579551904022191)
]

/-- The chunks, in order. -/
def chunks : List (List (ℚ × ℚ × ℚ × ℚ × ℚ × ℚ × ℚ)) := [cells0, cells1, cells2, cells3, cells4, cells5, cells6, cells7, cells8, cells9]

/-- The right vector `v` at `y* = 0.3453`. -/
def vUp : ℚ × ℚ × ℚ := (q 1 1, q 53594423969089 62500000000000, q 77992494023677 1000000000000000)

/-- `λ' = min_i (M v)_i / v_i`. -/
def lamUp : ℚ := q 359212063344959216483836377 2000000000000000000000000000

end MaxLeafFormal.Lobster