Starting with polynomial:
P : 67108864*t^26 - 10905190400*t^24 + 752458137600*t^22 - 28969638297600*t^20 + 688028909568000*t^18 - 10526842316390400*t^16 + 105268423163904000*t^14 - 684244750565376000*t^12 + 2822509596082176000*t^10 - 7056273990205440000*t^8 + 9878783586287616000*t^6 - 6735534263377920000*t^4 + 1683883565844480000*t^2 - 64764752532480000
Extension levels are: 26 43
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Trying to find an order 43 Kronrod extension for:
P1 : 67108864*t^26 - 10905190400*t^24 + 752458137600*t^22 - 28969638297600*t^20 + 688028909568000*t^18 - 10526842316390400*t^16 + 105268423163904000*t^14 - 684244750565376000*t^12 + 2822509596082176000*t^10 - 7056273990205440000*t^8 + 9878783586287616000*t^6 - 6735534263377920000*t^4 + 1683883565844480000*t^2 - 64764752532480000
Solvable: 1
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Ending with final polynomial:
P : 67108864*t^69 - 319480007546368326214535302942773695453155092909914104556158976/5456123242652626621680000822168059176059192909996139*t^67 + 130948668314647638683441052910616744849768487237665686979220602880/5456123242652626621680000822168059176059192909996139*t^65 - 100672186674249671223744648107854541069363262092450608369035892490240/16368369727957879865040002466504177528177578729988417*t^63 + 18110877908801914588705194081166823802231245216226812441876912794501120/16368369727957879865040002466504177528177578729988417*t^61 - 811563397507476196012770227890171466546156437873595104962179644365209600/5456123242652626621680000822168059176059192909996139*t^59 + 84736123011330316956985373929089739818145107833878942479725325290307584000/5456123242652626621680000822168059176059192909996139*t^57 - 7051151258528315222726942097140417272684274656292988872264219390727631667200/5456123242652626621680000822168059176059192909996139*t^55 + 476149526231332503522358785637367268001413713119421467194606755411064913920000/5456123242652626621680000822168059176059192909996139*t^53 - 26434099780405959092258193725411409331272546364841955495506942280093679681536000/5456123242652626621680000822168059176059192909996139*t^51 + 1217953632272428359456171261279659090459430694218258941438856786077489092342579200/5456123242652626621680000822168059176059192909996139*t^49 - 46893662877742601421096049866289696946555852482195884532360122830666548025160499200/5456123242652626621680000822168059176059192909996139*t^47 + 1516034238104933345341289766364409345852246355666571333789158983701615572162969600000/5456123242652626621680000822168059176059192909996139*t^45 - 41285763918948929430817029280651305052018799397622174317001200651358979135273730048000/5456123242652626621680000822168059176059192909996139*t^43 + 948801375020336212741256938202380515442100617665075654600119376477747842328070416384000/5456123242652626621680000822168059176059192909996139*t^41 - 18411780277910614168752529016264993409646652786858528040304164975760313808426077709312000/5456123242652626621680000822168059176059192909996139*t^39 + 301538124566641147988955945590888390426333062801343633772739058243804342262995451585792000/5456123242652626621680000822168059176059192909996139*t^37 - 4161361469173932052833432448168856299750458363598779651741988547838932915755588827465600000/5456123242652626621680000822168059176059192909996139*t^35 + 48265758147444299422515369691479167963621902451887774336341424162864202778494033823287040000/5456123242652626621680000822168059176059192909996139*t^33 - 468753485960902691393468643022194576381715314789917584754472354690418548651221130983987520000/5456123242652626621680000822168059176059192909996139*t^31 + 3793465732785174868949461267531178515282088199101139532269762580269421964700720553769756160000/5456123242652626621680000822168059176059192909996139*t^29 - 876675185140064705155125956748552205698212991862754727607186876074736184059914562994922240000/188142180781125055920000028350622730208937686551591*t^27 + 4828668763273134332762227582729139435711008612476304887766676586400752729117198866950071000000/188142180781125055920000028350622730208937686551591*t^25 - 21653340349528605134028023466577432374748112239296179853582356784729755435891017154698129500000/188142180781125055920000028350622730208937686551591*t^23 + 78150438285810362111722400356945500469295521350547626136615065325959334855260012576398237250000/188142180781125055920000028350622730208937686551591*t^21 - 223819760678946124692803417760181231171673544667529452909418276799606058161296519949683265375000/188142180781125055920000028350622730208937686551591*t^19 + 499804945936989897120987604123015155533355597539736760049529203761300078648892422185394491937500/188142180781125055920000028350622730208937686551591*t^17 - 851239119596911420508582119374324885419701438545253366955179960577072059665206936050807962656250/188142180781125055920000028350622730208937686551591*t^15 + 1074890422458679451725824152679551265911395472009685499075192270548906896411148252889657848750000/188142180781125055920000028350622730208937686551591*t^13 - 969533997767068432235620012685917883968475572126460300423346377489123117879008100692206019687500/188142180781125055920000028350622730208937686551591*t^11 + 2374756685754002071470175420913420683632593514422626428385676053914566070714138399524748498984375/752568723124500223680000113402490920835750746206364*t^9 - 1835154967274755179267080043017313430724219592922747867597630801244447698990635546319573446796875/1505137446249000447360000226804981841671501492412728*t^7 + 3194582858534957773411621037043702409614369591663427391880052078524191540235982727054357077734375/12041099569992003578880001814439854733372011939301824*t^5 - 640072548490537307175118535407861600165787086283020152195539603297666576239776839647306817578125/24082199139984007157760003628879709466744023878603648*t^3 + 18583506592949088966689893085896053725119781461676344068319921696099388456136280462589101171875/24082199139984007157760003628879709466744023878603648*t
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Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 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: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 0
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   67 out of 69
Indefinite weights: 0 out of 69
Negative weights:   2 out of 69
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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