Starting with polynomial:
P : 429/16*t^7 - 693/16*t^5 + 315/16*t^3 - 35/16*t
Extension levels are: 7 30
-------------------------------------------------
Trying to find an order 30 Kronrod extension for:
P1 : 429/16*t^7 - 693/16*t^5 + 315/16*t^3 - 35/16*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 429/16*t^37 - 658166866702141218660338941730559681/2700153475813380598603801405660624*t^35 + 17861535372292923886976014456666220775/17550997592786973890924709136794056*t^33 - 45394761358717907436617729793734924725/17550997592786973890924709136794056*t^31 + 4786961887723036791469490922408355465695/1070610853160005407346407257344437416*t^29 - 351514607067000307877821614479474962501197/63166040336440319033438028183321807544*t^27 + 475268100741293786275520855260699503351201/92319597414797389356563271960239564872*t^25 - 332643893214864442701580735747739922754425/92319597414797389356563271960239564872*t^23 + 1176693549051140167204665861978491951916150/611617332873032704487231676736587117277*t^21 - 479785038870245786782627354653310094736900/611617332873032704487231676736587117277*t^19 + 62552392093131484883228111867515442749485/257523087525487454520939653362773523064*t^17 - 682905395696035373187937026971380979531895/12103585113697910362484163708050355584008*t^15 + 116635107482305510744842684624560069834925/12103585113697910362484163708050355584008*t^13 - 14211470636041140283842101387075725545525/12103585113697910362484163708050355584008*t^11 + 14578576618374521793950315869766479443054975/149370343888145911783417064321049438262242728*t^9 - 189482442322415583352323215717858888419455/36638008878224468928007959173087598064323688*t^7 + 86893385506112295359496109819860803354565/554804134441684815195549096049612199259758704*t^5 - 1234255072391729745849772589434198567725/554804134441684815195549096049612199259758704*t^3 + 1301224695423646475239312229258455575/138701033610421203798887274012403049814939676*t
-------------------------------------------------
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: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  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
-------------------------------------------------
The nodes are:
| (-0.99784612344852210871 + 1.8935653017056743937e-842j)  +/-  (1.85e-243, 1.85e-243j)
| (-0.98868775153792583362 - 2.4341748875923932244e-844j)  +/-  (5.5e-243, 5.5e-243j)
| (-0.91927944102079721186 - 2.3901532967538348036e-847j)  +/-  (4.22e-243, 4.22e-243j)
| (0.99784612344852210871 - 4.6112466715110815779e-852j)  +/-  (1.84e-243, 1.84e-243j)
| (0.94910791234275852453 + 2.1670611930493756271e-871j)  +/-  (6.46e-243, 6.46e-243j)
| (0.91927944102079721186 - 1.2484695151413288691e-893j)  +/-  (4.43e-243, 4.43e-243j)
| (0.083003770784361174585 + 5.090768849448735984e-914j)  +/-  (2.25e-254, 2.25e-254j)
| (-0.84148519136966672985 - 1.5731001320029612201e-904j)  +/-  (8.52e-244, 8.52e-244j)
| (-0.97235933101661391008 - 6.8816392600109212615e-906j)  +/-  (7.25e-243, 7.25e-243j)
| (0.98868775153792583362 + 2.2505169821090159737e-921j)  +/-  (6.04e-243, 6.04e-243j)
| (0.8832767929424487679 - 2.9776353428484153456e-939j)  +/-  (2.15e-243, 2.15e-243j)
| (0.97235933101661391008 + 1.3478540110083281239e-952j)  +/-  (7.59e-243, 7.59e-243j)
| (-0.94910791234275852453 + 2.0248128188167858797e-961j)  +/-  (6.5e-243, 6.5e-243j)
| (-0.8832767929424487679 + 7.4574051604316505632e-963j)  +/-  (2.12e-243, 2.12e-243j)
| (0.32766326206750472751 + 4.7347026302779333481e-970j)  +/-  (1.27e-250, 1.27e-250j)
| (0.84148519136966672985 - 5.7568978950598836666e-962j)  +/-  (8.72e-244, 8.72e-244j)
| (0.79418608920443608857 + 1.0096133643254978103e-967j)  +/-  (2.58e-244, 2.58e-244j)
| (-0.32766326206750472751 - 5.2041057571002060744e-975j)  +/-  (1.26e-250, 1.26e-250j)
| (-0.79418608920443608857 + 6.0097348420270150373e-967j)  +/-  (2.67e-244, 2.67e-244j)
| (-0.74153118559939443986 - 7.1951008559644273776e-969j)  +/-  (6.26e-245, 6.26e-245j)
| (0.74153118559939443986 + 3.5720817572108095163e-971j)  +/-  (6.17e-245, 6.17e-245j)
| (0.6836267794908846579 - 2.2093322061879652037e-972j)  +/-  (1.24e-245, 1.24e-245j)
| (0.24736277927426844744 - 7.2117374673184148951e-980j)  +/-  (7.89e-252, 7.89e-252j)
| (-0.6836267794908846579 - 4.2541750905425426478e-971j)  +/-  (1.2e-245, 1.2e-245j)
| (-0.55301677795294993595 - 2.2905225258533143626e-973j)  +/-  (2.49e-247, 2.49e-247j)
| (4.628339832100973678e-986 + 1.0630380619203255314e-985j)  +/-  (4.29e-984, 4.29e-984j)
| (0.62066801549804592241 + 2.9562835557306885193e-974j)  +/-  (1.85e-246, 1.85e-246j)
| (0.40584515137739716691 - 1.3178365745534444664e-978j)  +/-  (1.71e-249, 1.71e-249j)
| (-0.24736277927426844744 - 3.5451576381425249964e-980j)  +/-  (7.55e-252, 7.55e-252j)
| (-0.62066801549804592241 + 8.7758224400986552341e-977j)  +/-  (1.92e-246, 1.92e-246j)
| (-0.16561533960274229959 + 1.0137559461491192826e-983j)  +/-  (4.31e-253, 4.31e-253j)
| (0.48119644370188802369 - 9.6439823531265161461e-977j)  +/-  (2.29e-248, 2.29e-248j)
| (0.55301677795294993595 + 5.5715218600718942344e-979j)  +/-  (2.16e-247, 2.16e-247j)
| (-0.083003770784361174585 - 1.344874432595661004e-986j)  +/-  (2.25e-254, 2.25e-254j)
| (-0.48119644370188802369 - 1.2026397220304078269e-979j)  +/-  (2.35e-248, 2.35e-248j)
| (-0.40584515137739716691 + 1.3020159570168866095e-981j)  +/-  (1.72e-249, 1.72e-249j)
| (0.16561533960274229959 + 1.3371552345023091732e-986j)  +/-  (4.09e-253, 4.09e-253j)
-------------------------------------------------
The weights are:
| (0.0055233890375594599817 + 2.4460127470302279951e-842j)  +/-  (6.02e-78, 6.02e-197j)
| (0.012774881318304376365 - 4.090962522504686826e-842j)  +/-  (4.52e-78, 4.52e-197j)
| (0.032984273377196113203 + 2.4068480083011799288e-842j)  +/-  (1.13e-78, 1.13e-197j)
| (0.0055233890375594599817 + 5.2845677178259049964e-845j)  +/-  (7.04e-80, 7.05e-199j)
| (0.026604240521257812184 - 6.5097902643426738414e-844j)  +/-  (5.78e-80, 5.79e-199j)
| (0.032984273377196113203 + 9.8532587606175872804e-844j)  +/-  (2.7e-80, 2.71e-199j)
| (0.082877613582536741195 - 8.1310446679595392934e-843j)  +/-  (2.15e-81, 2.15e-200j)
| (0.044580500545529285986 + 2.1810440304146110574e-842j)  +/-  (1.2e-80, 1.2e-199j)
| (0.019840306608032177794 + 3.0115664416006919517e-842j)  +/-  (1.52e-79, 1.52e-198j)
| (0.012774881318304376365 - 1.8950377413030931673e-844j)  +/-  (1.95e-80, 1.96e-199j)
| (0.038955182334462597699 - 1.3908277591495552924e-843j)  +/-  (1.55e-81, 1.56e-200j)
| (0.019840306608032177794 + 3.8779533791513083728e-844j)  +/-  (1.85e-80, 1.85e-199j)
| (0.026604240521257812184 - 2.6053754619027376249e-842j)  +/-  (3.92e-81, 3.92e-200j)
| (0.038955182334462597699 - 2.2851373262833617354e-842j)  +/-  (1.04e-81, 1.04e-200j)
| (0.079358260246263605714 + 5.8638559857669764571e-843j)  +/-  (9e-85, 9.01e-204j)
| (0.044580500545529285986 + 1.8532298040189700658e-843j)  +/-  (5.45e-83, 5.46e-202j)
| (0.049994006957314969876 - 2.3431154161966946717e-843j)  +/-  (8.74e-84, 8.75e-203j)
| (0.079358260246263605714 + 1.1598381811951547398e-842j)  +/-  (1.83e-86, 1.83e-205j)
| (0.049994006957314969876 - 2.062448381103397469e-842j)  +/-  (7.87e-85, 7.87e-204j)
| (0.055300648389456925753 + 1.919556853966170015e-842j)  +/-  (1.3e-85, 1.3e-204j)
| (0.055300648389456925753 + 2.8279249938714849985e-843j)  +/-  (8.12e-86, 8.12e-205j)
| (0.060476983761351915134 - 3.2901924623460591088e-843j)  +/-  (1.28e-86, 1.28e-205j)
| (0.081129899764044997566 - 6.573110082425144521e-843j)  +/-  (3.82e-88, 3.82e-207j)
| (0.060476983761351915134 - 1.7610260716685577263e-842j)  +/-  (8.34e-88, 8.35e-207j)
| (0.069834373713649097773 - 1.4608921485322018599e-842j)  +/-  (5.28e-89, 5.29e-208j)
| (0.083066028892579217223 + 8.8964446215820596983e-843j)  +/-  (1.32e-89, 1.32e-208j)
| (0.065380003545605083425 + 3.7361862917965372987e-843j)  +/-  (7.97e-89, 7.97e-208j)
| (0.076885977280834051781 - 5.2329870511375595897e-843j)  +/-  (1.13e-89, 1.13e-208j)
| (0.081129899764044997566 - 1.0906608201835799688e-842j)  +/-  (2.05e-90, 2.05e-209j)
| (0.065380003545605083425 + 1.6034927893588657437e-842j)  +/-  (9.92e-90, 9.92e-209j)
| (0.08226739095185697825 + 1.0263736342380170272e-842j)  +/-  (1.27e-90, 1.27e-209j)
| (0.073699053618454201709 + 4.680135189534064701e-843j)  +/-  (1.81e-90, 1.81e-209j)
| (0.069834373713649097773 - 4.1897139523257632486e-843j)  +/-  (2.21e-90, 2.21e-209j)
| (0.082877613582536741195 - 9.6066299080353080475e-843j)  +/-  (2.39e-91, 2.39e-210j)
| (0.073699053618454201709 + 1.33993912476398601e-842j)  +/-  (3.39e-92, 3.4e-211j)
| (0.076885977280834051781 - 1.2408848404057790938e-842j)  +/-  (3e-92, 3.03e-211j)
| (0.08226739095185697825 + 7.3415179395689369939e-843j)  +/-  (3.12e-92, 2.92e-211j)
