Starting with polynomial:
P : -t+1
Extension levels are: 1 6 12
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Trying to find an order 12 Kronrod extension for:
P2 : -t^7 + 8861/185*t^6 - 155826/185*t^5 + 253590/37*t^4 - 989880/37*t^3 + 1737720/37*t^2 - 1129104/37*t + 157104/37
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^19 + 37571100624534618675122865860210356801351620095847778626331337/143130316232650652215404065089958306505962895112779976220345*t^18 - 875226064040284164985455714256860629359083096573612716414830080/28626063246530130443080813017991661301192579022555995244069*t^17 + 299565191429079532824260940175271460861137507416300233427712101704/143130316232650652215404065089958306505962895112779976220345*t^16 - 94210535691173414103129288466991141156367495916819962900249475107822/1001912213628554565507828455629708145541740265789459833542415*t^15 + 587742623627195844093940021948762163947884426902480228650652607526950/200382442725710913101565691125941629108348053157891966708483*t^14 - 13136175440283681920044844003632030586329217698168284586920096542868180/200382442725710913101565691125941629108348053157891966708483*t^13 + 214085477617530434965602281553663103877538633454896475712147947134047100/200382442725710913101565691125941629108348053157891966708483*t^12 - 69335914400491597452936657630071515631812602661453069084981553700116880/5415741695289484137880153814214638624549947382645728829959*t^11 + 22634722122690342138340160780863434214035391038674330992595038235948753040/200382442725710913101565691125941629108348053157891966708483*t^10 - 146346473452579481094861481294708716304546428090531400055203286197871383200/200382442725710913101565691125941629108348053157891966708483*t^9 + 685971982433966633864530083130727501721908033873410218548983411793943750240/200382442725710913101565691125941629108348053157891966708483*t^8 - 327211343623042644695936792381215657312746616408160435092888396993423507200/28626063246530130443080813017991661301192579022555995244069*t^7 + 758307374725405821477742527324046998617316885238950837879584191032913616640/28626063246530130443080813017991661301192579022555995244069*t^6 - 1174656591523216862133246735405182506522357835865003832870090511911980956160/28626063246530130443080813017991661301192579022555995244069*t^5 + 1150993438407588619170517394541875008006120585966701407415071922386637504000/28626063246530130443080813017991661301192579022555995244069*t^4 - 655687717197596955386686201321440214266639095917263458899958020334324889600/28626063246530130443080813017991661301192579022555995244069*t^3 + 188793112646422919539290390306976623545570104830176769115571555169525504000/28626063246530130443080813017991661301192579022555995244069*t^2 - 20954272076136125279128215477294838205165190728305027714041731311165747200/28626063246530130443080813017991661301192579022555995244069*t + 430809942393780703545072899294149468995156324655805043254104593186508800/28626063246530130443080813017991661301192579022555995244069
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 0
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   19 out of 19
Indefinite weights: 0 out of 19
Negative weights:   0 out of 19
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (50.784657363006772216 + 5.3161096967068331592e-270j)  +/-  (1.34e-120, 1.34e-120j)
| (28.08523442769166785 + 2.1144426353097399198e-289j)  +/-  (8.72e-119, 8.72e-119j)
| (23.166400493827783144 - 6.5351771642565197365e-312j)  +/-  (1.25e-118, 1.25e-118j)
| (33.953019873186834036 - 7.4833107616730919265e-326j)  +/-  (4.22e-119, 4.22e-119j)
| (41.173020683633481529 + 1.3787970413799729861e-331j)  +/-  (1.08e-119, 1.08e-119j)
| (3.5171016961610371107 - 6.9026141327935236624e-334j)  +/-  (5.03e-121, 5.03e-121j)
| (7.9886543552868417152 + 1.6014420492902612496e-342j)  +/-  (2.2e-119, 2.2e-119j)
| (18.989963815544515587 + 7.1477274582661475933e-353j)  +/-  (1.31e-118, 1.31e-118j)
| (9.9869400008460894991 - 7.1012288623373955012e-359j)  +/-  (4.95e-119, 4.95e-119j)
| (1 - 1.8213146347430720463e-367j)  +/-  (1.36e-123, 1.36e-123j)
| (0.51545307913213877018 - 2.8259517308546839544e-369j)  +/-  (9.71e-125, 9.71e-125j)
| (4.779596384709730006 + 3.6166563774494108279e-363j)  +/-  (2.32e-120, 2.32e-120j)
| (15.438701721794448164 - 1.275215977689010584e-365j)  +/-  (1.14e-118, 1.14e-118j)
| (0.026211263644385546432 + 2.9032724209608804902e-381j)  +/-  (8.82e-128, 8.82e-128j)
| (6.2854933763188328434 - 5.5180661598141270432e-371j)  +/-  (8.09e-120, 8.09e-120j)
| (2.5026000900489822054 + 5.6748607918755266729e-375j)  +/-  (8.84e-122, 8.84e-122j)
| (1.6662251323587256744 - 1.1708539306440917541e-376j)  +/-  (1.29e-122, 1.29e-122j)
| (0.18796958875044643007 - 7.552484828859381404e-380j)  +/-  (4.18e-126, 4.18e-126j)
| (12.448513062956781353 + 1.6510053753817790816e-378j)  +/-  (8.42e-119, 8.42e-119j)
-------------------------------------------------
The weights are:
| (1.0261780856098397279e-21 - 3.0729640168571643693e-291j)  +/-  (1.43e-52, 3.21e-111j)
| (3.3958015879535394504e-12 + 9.7768954650095168264e-287j)  +/-  (2.57e-48, 5.78e-107j)
| (3.9294941124147030312e-10 - 1.6829049977543425024e-285j)  +/-  (2.82e-47, 6.34e-106j)
| (1.1585925039823825586e-14 - 4.0621367936418330745e-288j)  +/-  (4.9e-50, 1.1e-108j)
| (1.0695632059341667819e-17 + 1.1437898413785291656e-289j)  +/-  (1.16e-51, 2.62e-110j)
| (0.033518997935955383879 - 1.8080680659852663595e-279j)  +/-  (5.05e-39, 1.14e-97j)
| (0.00061710924593910851928 + 6.3493309909013645866e-281j)  +/-  (1.53e-43, 3.45e-102j)
| (2.1785041656527372866e-08 + 2.2138758263743312361e-284j)  +/-  (1.31e-47, 2.94e-106j)
| (0.00010166091934545159117 - 1.3280514882327409332e-281j)  +/-  (4.05e-45, 9.12e-104j)
| (0.21059326345930638153 + 8.6505093542911606695e-279j)  +/-  (1.41e-38, 3.2e-97j)
| (0.24085513479498662916 - 9.3717518148613499887e-279j)  +/-  (1.39e-38, 3.15e-97j)
| (0.011710254060160489923 + 6.9273100627944586512e-280j)  +/-  (1.07e-42, 2.43e-101j)
| (6.43796557602178553e-07 - 2.331171785029758856e-283j)  +/-  (2.22e-47, 5e-106j)
| (0.075792425225638754461 - 2.8081169868068156244e-279j)  +/-  (2.1e-40, 4.84e-99j)
| (0.002991193894726995903 - 2.2780731600865080932e-280j)  +/-  (5.53e-44, 1.27e-102j)
| (0.074966224094439756374 + 3.7593505962626461459e-279j)  +/-  (1.2e-42, 2.78e-101j)
| (0.14296498724116225559 - 6.2708838595489116443e-279j)  +/-  (2.55e-42, 5.97e-101j)
| (0.20587740580587208984 + 7.3320420748756577745e-279j)  +/-  (6.2e-42, 1.57e-100j)
| (1.0677344510635071718e-05 + 1.9947839825108449283e-282j)  +/-  (1.26e-46, 2.81e-105j)
Starting with polynomial:
P : -t+1
Extension levels are: 1 6 12
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Trying to find an order 12 Kronrod extension for:
P2 : -t^7 + 8861/185*t^6 - 155826/185*t^5 + 253590/37*t^4 - 989880/37*t^3 + 1737720/37*t^2 - 1129104/37*t + 157104/37
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^19 + 37571100624534618675122865860210356801351620095847778626331337/143130316232650652215404065089958306505962895112779976220345*t^18 - 875226064040284164985455714256860629359083096573612716414830080/28626063246530130443080813017991661301192579022555995244069*t^17 + 299565191429079532824260940175271460861137507416300233427712101704/143130316232650652215404065089958306505962895112779976220345*t^16 - 94210535691173414103129288466991141156367495916819962900249475107822/1001912213628554565507828455629708145541740265789459833542415*t^15 + 587742623627195844093940021948762163947884426902480228650652607526950/200382442725710913101565691125941629108348053157891966708483*t^14 - 13136175440283681920044844003632030586329217698168284586920096542868180/200382442725710913101565691125941629108348053157891966708483*t^13 + 214085477617530434965602281553663103877538633454896475712147947134047100/200382442725710913101565691125941629108348053157891966708483*t^12 - 69335914400491597452936657630071515631812602661453069084981553700116880/5415741695289484137880153814214638624549947382645728829959*t^11 + 22634722122690342138340160780863434214035391038674330992595038235948753040/200382442725710913101565691125941629108348053157891966708483*t^10 - 146346473452579481094861481294708716304546428090531400055203286197871383200/200382442725710913101565691125941629108348053157891966708483*t^9 + 685971982433966633864530083130727501721908033873410218548983411793943750240/200382442725710913101565691125941629108348053157891966708483*t^8 - 327211343623042644695936792381215657312746616408160435092888396993423507200/28626063246530130443080813017991661301192579022555995244069*t^7 + 758307374725405821477742527324046998617316885238950837879584191032913616640/28626063246530130443080813017991661301192579022555995244069*t^6 - 1174656591523216862133246735405182506522357835865003832870090511911980956160/28626063246530130443080813017991661301192579022555995244069*t^5 + 1150993438407588619170517394541875008006120585966701407415071922386637504000/28626063246530130443080813017991661301192579022555995244069*t^4 - 655687717197596955386686201321440214266639095917263458899958020334324889600/28626063246530130443080813017991661301192579022555995244069*t^3 + 188793112646422919539290390306976623545570104830176769115571555169525504000/28626063246530130443080813017991661301192579022555995244069*t^2 - 20954272076136125279128215477294838205165190728305027714041731311165747200/28626063246530130443080813017991661301192579022555995244069*t + 430809942393780703545072899294149468995156324655805043254104593186508800/28626063246530130443080813017991661301192579022555995244069
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 0
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   19 out of 19
Indefinite weights: 0 out of 19
Negative weights:   0 out of 19
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (50.784657363006772216 + 5.3161096967068331592e-270j)  +/-  (1.34e-120, 1.34e-120j)
| (28.08523442769166785 + 2.1144426353097399198e-289j)  +/-  (8.72e-119, 8.72e-119j)
| (23.166400493827783144 - 6.5351771642565197365e-312j)  +/-  (1.25e-118, 1.25e-118j)
| (33.953019873186834036 - 7.4833107616730919265e-326j)  +/-  (4.22e-119, 4.22e-119j)
| (41.173020683633481529 + 1.3787970413799729861e-331j)  +/-  (1.08e-119, 1.08e-119j)
| (3.5171016961610371107 - 6.9026141327935236624e-334j)  +/-  (5.03e-121, 5.03e-121j)
| (7.9886543552868417152 + 1.6014420492902612496e-342j)  +/-  (2.2e-119, 2.2e-119j)
| (18.989963815544515587 + 7.1477274582661475933e-353j)  +/-  (1.31e-118, 1.31e-118j)
| (9.9869400008460894991 - 7.1012288623373955012e-359j)  +/-  (4.95e-119, 4.95e-119j)
| (1 - 1.8213146347430720463e-367j)  +/-  (1.36e-123, 1.36e-123j)
| (0.51545307913213877018 - 2.8259517308546839544e-369j)  +/-  (9.71e-125, 9.71e-125j)
| (4.779596384709730006 + 3.6166563774494108279e-363j)  +/-  (2.32e-120, 2.32e-120j)
| (15.438701721794448164 - 1.275215977689010584e-365j)  +/-  (1.14e-118, 1.14e-118j)
| (0.026211263644385546432 + 2.9032724209608804902e-381j)  +/-  (8.82e-128, 8.82e-128j)
| (6.2854933763188328434 - 5.5180661598141270432e-371j)  +/-  (8.09e-120, 8.09e-120j)
| (2.5026000900489822054 + 5.6748607918755266729e-375j)  +/-  (8.84e-122, 8.84e-122j)
| (1.6662251323587256744 - 1.1708539306440917541e-376j)  +/-  (1.29e-122, 1.29e-122j)
| (0.18796958875044643007 - 7.552484828859381404e-380j)  +/-  (4.18e-126, 4.18e-126j)
| (12.448513062956781353 + 1.6510053753817790816e-378j)  +/-  (8.42e-119, 8.42e-119j)
-------------------------------------------------
The weights are:
| (1.0261780856098397279e-21 - 3.0729640168571643693e-291j)  +/-  (1.43e-52, 3.21e-111j)
| (3.3958015879535394504e-12 + 9.7768954650095168264e-287j)  +/-  (2.57e-48, 5.78e-107j)
| (3.9294941124147030312e-10 - 1.6829049977543425024e-285j)  +/-  (2.82e-47, 6.34e-106j)
| (1.1585925039823825586e-14 - 4.0621367936418330745e-288j)  +/-  (4.9e-50, 1.1e-108j)
| (1.0695632059341667819e-17 + 1.1437898413785291656e-289j)  +/-  (1.16e-51, 2.62e-110j)
| (0.033518997935955383879 - 1.8080680659852663595e-279j)  +/-  (5.05e-39, 1.14e-97j)
| (0.00061710924593910851928 + 6.3493309909013645866e-281j)  +/-  (1.53e-43, 3.45e-102j)
| (2.1785041656527372866e-08 + 2.2138758263743312361e-284j)  +/-  (1.31e-47, 2.94e-106j)
| (0.00010166091934545159117 - 1.3280514882327409332e-281j)  +/-  (4.05e-45, 9.12e-104j)
| (0.21059326345930638153 + 8.6505093542911606695e-279j)  +/-  (1.41e-38, 3.2e-97j)
| (0.24085513479498662916 - 9.3717518148613499887e-279j)  +/-  (1.39e-38, 3.15e-97j)
| (0.011710254060160489923 + 6.9273100627944586512e-280j)  +/-  (1.07e-42, 2.43e-101j)
| (6.43796557602178553e-07 - 2.331171785029758856e-283j)  +/-  (2.22e-47, 5e-106j)
| (0.075792425225638754461 - 2.8081169868068156244e-279j)  +/-  (2.1e-40, 4.84e-99j)
| (0.002991193894726995903 - 2.2780731600865080932e-280j)  +/-  (5.53e-44, 1.27e-102j)
| (0.074966224094439756374 + 3.7593505962626461459e-279j)  +/-  (1.2e-42, 2.78e-101j)
| (0.14296498724116225559 - 6.2708838595489116443e-279j)  +/-  (2.55e-42, 5.97e-101j)
| (0.20587740580587208984 + 7.3320420748756577745e-279j)  +/-  (6.2e-42, 1.57e-100j)
| (1.0677344510635071718e-05 + 1.9947839825108449283e-282j)  +/-  (1.26e-46, 2.81e-105j)
