Starting with polynomial:
P : 35/8*t^4 - 15/4*t^2 + 3/8
Extension levels are: 4 46
-------------------------------------------------
Trying to find an order 46 Kronrod extension for:
P1 : 35/8*t^4 - 15/4*t^2 + 3/8
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 35/8*t^50 - 1121980732008792033190312096305/20503808819526530800649983688*t^48 + 480281995426159850406428225604668/1492866132932237607702587957073*t^46 - 1016799353872841196886563563040166665/860388514613279607905924859259739*t^44 + 21661819893706041696400992776037345285/7123216539589012567779284881313188*t^42 - 171903634334298102850559661372674899145/29510468521154480637942751651154636*t^40 + 83130368528193117369275314299976034895/9647653170377426362404361116723631*t^38 - 424702468421585406446789897891249750076/42145011217964546741029577509897967*t^36 + 4102140236297674871611973862590557874905/433491543956206766479161368673236232*t^34 - 101624097480215531381077275776844802816715/14101224929869549521351543345664684488*t^32 + 594027037215752828386581295170599320820/132672815200385546571855918574802139*t^30 - 93678701202768308376363546696267676838/41174321958740342039541491971490319*t^28 + 11565007653756136575743072272550268461/12233315030476373499741672421321910*t^26 - 55634294718754689351521916858081849865/173713073432764503696331748382771122*t^24 + 297950076388023780961065094337194472210/3387404931938907822078469093464036879*t^22 - 209829254856220201538725903049151506220/10807434782852705908536068060099546233*t^20 + 26773356086667400298360998334230025629775/7867812521916769901414257547752469657624*t^18 - 4527928180485104691329513274194057664193/9719062527073656937041141676635403694712*t^16 + 3612059074135568479730775847668537313120/74107851768936634144938705284344953172179*t^14 - 1030025532052027084748557016024965198515/272271704484408219953749162638087868247969*t^12 + 38950422736341337495700188326072679478935/186233845867335222448364427244452101881610796*t^10 - 8463101788677942085021812164758919515/1089086817937632879814996650552351472991876*t^8 + 6960134614671138036683292725256056017/39168229487971296784775058110936354760814969*t^6 - 30211079608421707302813033095531635160/13983057927205752952164695745604278649610943933*t^4 + 285343520231366085601114603301409915/27270441330669926155465476279984463834067114536*t^2 - 16245460387990534478471765086415/1925310399530964228046561549798692388706529688
-------------------------------------------------
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: 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:
| (-0.9989601270291701724 - 1.5081600232750227046e-896j)  +/-  (3.36e-238, 3.36e-238j)
| (0.95932826626588006834 - 4.3771421435745005618e-896j)  +/-  (9.75e-238, 9.75e-238j)
| (-0.91744684784900192867 - 3.1058793027291436679e-904j)  +/-  (2.88e-238, 2.88e-238j)
| (0.9864505352300896255 + 6.214855206187806003e-901j)  +/-  (1.41e-237, 1.41e-237j)
| (0.97473583854057064759 - 1.4405465036061041854e-915j)  +/-  (1.28e-237, 1.28e-237j)
| (0.89105725898230561947 - 1.0192276336802207931e-934j)  +/-  (1.31e-238, 1.31e-238j)
| (-0.99450747143008736576 + 5.0550962796072237748e-943j)  +/-  (9.21e-238, 9.21e-238j)
| (-0.89105725898230561947 + 9.077296364703433094e-948j)  +/-  (1.26e-238, 1.26e-238j)
| (-0.56368417262571026649 + 1.0160912526785554776e-953j)  +/-  (3.57e-244, 3.57e-244j)
| (-0.9864505352300896255 + 5.2734766740464885961e-946j)  +/-  (1.39e-237, 1.39e-237j)
| (0.91744684784900192867 + 3.9057084882344134186e-947j)  +/-  (2.87e-238, 2.87e-238j)
| (0.9989601270291701724 - 3.5516767888942847535e-951j)  +/-  (3.56e-238, 3.56e-238j)
| (-0.94022281081672884276 + 1.7278753125974312079e-966j)  +/-  (5.89e-238, 5.89e-238j)
| (-0.86113631159405257522 - 2.2949303338897469026e-970j)  +/-  (4.75e-239, 4.75e-239j)
| (0.99450747143008736576 - 3.192184118347864569e-966j)  +/-  (9.27e-238, 9.27e-238j)
| (0.82778797963298360944 + 5.0106484491388449515e-977j)  +/-  (1.43e-239, 1.43e-239j)
| (0.2189977559474692275 - 1.4341964328308127748e-999j)  +/-  (4.13e-251, 4.13e-251j)
| (-0.97473583854057064759 - 4.8114049533197211108e-985j)  +/-  (1.35e-237, 1.35e-237j)
| (-0.75131712327457898735 + 1.5964541651157918829e-989j)  +/-  (7.87e-241, 7.87e-241j)
| (-0.95932826626588006834 + 8.2245822124606463615e-987j)  +/-  (9.73e-238, 9.73e-238j)
| (0.86113631159405257522 - 5.6913039143475099348e-988j)  +/-  (4.47e-239, 4.47e-239j)
| (0.79113508119664472203 - 5.5177457026598299934e-997j)  +/-  (3.45e-240, 3.45e-240j)
| (-0.2189977559474692275 - 1.5274296747490099623e-1011j)  +/-  (4.6e-251, 4.6e-251j)
| (-0.82778797963298360944 + 2.5641419497372247794e-1000j)  +/-  (1.26e-239, 1.26e-239j)
| (-0.79113508119664472203 - 7.0313537654290955517e-1001j)  +/-  (3.54e-240, 3.54e-240j)
| (0.28005329723296180051 - 8.3572000254280935129e-1010j)  +/-  (7.42e-250, 7.42e-250j)
| (0.75131712327457898735 - 9.0191680061363631607e-1001j)  +/-  (7.31e-241, 7.31e-241j)
| (0.94022281081672884276 - 8.7125359990826345404e-1014j)  +/-  (5.92e-238, 5.92e-238j)
| (-0.3399810435848562648 + 4.7852015171368873005e-1031j)  +/-  (1.2e-248, 1.2e-248j)
| (-0.61448562530380910636 - 7.0884176310880444373e-1025j)  +/-  (2.58e-243, 2.58e-243j)
| (-0.39853993665264719414 + 2.0244233732951276859e-1029j)  +/-  (2.01e-247, 2.01e-247j)
| (0.66281788376967390459 - 1.7071582005765974934e-1022j)  +/-  (2.15e-242, 2.15e-242j)
| (0.61448562530380910636 - 1.886397945674238944e-1023j)  +/-  (2.77e-243, 2.77e-243j)
| (0.3399810435848562648 + 5.4266735675034174658e-1031j)  +/-  (1.31e-248, 1.31e-248j)
| (-0.70848864553792772842 - 1.1912206300932168228e-1024j)  +/-  (1.39e-241, 1.39e-241j)
| (-0.66281788376967390459 + 6.9932174997219373345e-1026j)  +/-  (2.09e-242, 2.09e-242j)
| (0.031538984604102772317 + 4.0531472815013874563e-1037j)  +/-  (6.44e-255, 6.44e-255j)
| (0.56368417262571026649 + 1.1937214658724204883e-1025j)  +/-  (3.46e-244, 3.46e-244j)
| (0.70848864553792772842 + 2.2134787837089704082e-1030j)  +/-  (1.34e-241, 1.34e-241j)
| (-0.15706015743226715345 - 6.3130851538692597166e-1042j)  +/-  (1.83e-252, 1.83e-252j)
| (-0.51061636221449530131 + 3.6708246166499090505e-1035j)  +/-  (3.45e-245, 3.45e-245j)
| (-0.094489895491805486281 - 4.7364591904966114826e-1043j)  +/-  (9.31e-254, 9.31e-254j)
| (0.39853993665264719414 - 2.776857443260254525e-1035j)  +/-  (2.05e-247, 2.05e-247j)
| (0.51061636221449530131 - 3.6464588962977735517e-1034j)  +/-  (3.45e-245, 3.45e-245j)
| (-0.031538984604102772317 - 7.9982522934571659146e-1045j)  +/-  (6.44e-255, 6.44e-255j)
| (-0.45549460609560040628 + 4.5424124858228095019e-1037j)  +/-  (2.75e-246, 2.75e-246j)
| (-0.28005329723296180051 + 1.0432517313275425076e-1040j)  +/-  (7.25e-250, 7.25e-250j)
| (0.15706015743226715345 + 3.6352401636377282551e-1042j)  +/-  (2.41e-252, 2.41e-252j)
| (0.45549460609560040628 - 2.4563716539347685966e-1035j)  +/-  (2.65e-246, 2.65e-246j)
| (0.094489895491805486281 - 7.7750482906577241885e-1044j)  +/-  (9.31e-254, 9.31e-254j)
-------------------------------------------------
The weights are:
| (0.0026702831419721455248 - 1.9034130288204639117e-896j)  +/-  (7.83e-66, 2.75e-179j)
| (0.017258424756327057566 + 5.5558044681613105633e-897j)  +/-  (3.25e-66, 1.14e-179j)
| (0.024594507314974522039 - 9.0665544675439389596e-897j)  +/-  (9.82e-67, 3.45e-180j)
| (0.0098778708395749218245 - 1.4258992926904637283e-896j)  +/-  (9.59e-67, 3.37e-180j)
| (0.013557577824980791849 + 3.7229762911465447748e-896j)  +/-  (2.1e-66, 7.4e-180j)
| (0.028170897303779333303 - 1.8039588179947782395e-896j)  +/-  (7.24e-68, 2.54e-181j)
| (0.0062452220292437918495 + 3.069683813967444437e-896j)  +/-  (2.75e-67, 9.66e-181j)
| (0.028170897303779333303 + 7.8716413362072498341e-897j)  +/-  (3.71e-68, 1.3e-181j)
| (0.051969267377347226958 + 4.0096813660923960881e-897j)  +/-  (2.18e-69, 7.65e-183j)
| (0.0098778708395749218245 - 2.0395529107108512185e-896j)  +/-  (9.5e-68, 3.34e-181j)
| (0.024594507314974522039 + 2.5901873190251093764e-896j)  +/-  (2.02e-68, 7.09e-182j)
| (0.0026702831419721455248 - 1.5491910322032713501e-897j)  +/-  (8.98e-69, 3.16e-182j)
| (0.02094786617264537904 + 1.0630850385211508656e-896j)  +/-  (4.74e-69, 1.67e-182j)
| (0.031653621170750022411 - 6.9419845061958318945e-897j)  +/-  (5.61e-70, 1.97e-183j)
| (0.0062452220292437918495 + 5.9109931477842787299e-897j)  +/-  (1.39e-68, 4.89e-182j)
| (0.035022537682400378999 - 1.1376755651692711945e-896j)  +/-  (2.28e-71, 8.01e-185j)
| (0.061537865190787839047 - 3.8942961517451494028e-897j)  +/-  (1.02e-73, 3.57e-187j)
| (0.013557577824980791849 + 1.5707438664128924535e-896j)  +/-  (2.66e-69, 9.33e-183j)
| (0.04135015640177360346 + 5.1532903219887957636e-897j)  +/-  (1.31e-72, 4.59e-186j)
| (0.017258424756327057566 - 1.2735184483744318502e-896j)  +/-  (1.09e-69, 3.84e-183j)
| (0.031653621170750022411 + 1.3934079522929325449e-896j)  +/-  (1.23e-71, 4.33e-185j)
| (0.038259980853537753121 + 9.6209069177467533131e-897j)  +/-  (6.27e-73, 2.2e-186j)
| (0.061537865190787839047 + 3.4731727033050232582e-897j)  +/-  (4.6e-76, 1.62e-189j)
| (0.035022537682400378999 + 6.2086015378278756862e-897j)  +/-  (6.7e-72, 2.36e-185j)
| (0.038259980853537753121 - 5.6237082045900946022e-897j)  +/-  (1.53e-72, 5.38e-186j)
| (0.060532244036104318651 + 4.0541338921423325176e-897j)  +/-  (4.86e-77, 1.71e-190j)
| (0.04135015640177360346 - 8.3398897075384512641e-897j)  +/-  (3.3e-75, 1.16e-188j)
| (0.02094786617264537904 - 4.8484575076041076904e-896j)  +/-  (1.22e-72, 4.3e-186j)
| (0.059283055461401534045 + 3.5472001655961353933e-897j)  +/-  (3.68e-77, 1.29e-190j)
| (0.049599815969365232299 - 4.2127331515148539895e-897j)  +/-  (5.06e-76, 1.78e-189j)
| (0.057795485740063303284 - 3.6194406004868031044e-897j)  +/-  (3.68e-77, 1.29e-190j)
| (0.047032634270128022816 - 6.6045365515886592335e-897j)  +/-  (1.14e-77, 3.99e-191j)
| (0.049599815969365232299 + 5.9957773897520486679e-897j)  +/-  (2.73e-78, 9.59e-192j)
| (0.059283055461401534045 - 4.2476366386611098848e-897j)  +/-  (7.15e-80, 2.52e-193j)
| (0.044278740892521693287 - 4.7726676108510075218e-897j)  +/-  (2.36e-76, 8.29e-190j)
| (0.047032634270128022816 + 4.4636642533058230464e-897j)  +/-  (1.03e-76, 3.63e-190j)
| (0.063056784050012713907 + 3.5794775160160372206e-897j)  +/-  (4.09e-81, 1.44e-194j)
| (0.051969267377347226958 - 5.5015776946037344556e-897j)  +/-  (5.3e-80, 1.86e-193j)
| (0.044278740892521693287 + 7.366280097815830755e-897j)  +/-  (1.16e-78, 4.08e-192j)
| (0.06229574894100693439 - 3.4685707768205656237e-897j)  +/-  (3.92e-81, 1.38e-194j)
| (0.054130935546356780067 - 3.8467887852775092965e-897j)  +/-  (7.65e-80, 2.69e-193j)
| (0.062802755109789071929 + 3.4846757262165966756e-897j)  +/-  (1.18e-81, 4.14e-195j)
| (0.057795485740063303284 + 4.4803948769692979549e-897j)  +/-  (5.15e-82, 1.81e-195j)
| (0.054130935546356780067 + 5.0957437933918565652e-897j)  +/-  (9.14e-82, 3.21e-195j)
| (0.063056784050012713907 - 3.5214755769563688855e-897j)  +/-  (1.96e-82, 6.9e-196j)
| (0.056075721923155628332 + 3.7181906266911173089e-897j)  +/-  (7.45e-82, 2.62e-195j)
| (0.060532244036104318651 - 3.4990176098617568009e-897j)  +/-  (2.37e-82, 8.34e-196j)
| (0.06229574894100693439 + 3.7638900856155159775e-897j)  +/-  (2.11e-83, 7.43e-197j)
| (0.056075721923155628332 - 4.7598060599363082263e-897j)  +/-  (2.3e-83, 8.14e-197j)
| (0.062802755109789071929 - 3.659732196267927015e-897j)  +/-  (1.99e-83, 7e-197j)
