Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 7
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Trying to find an order 7 Kronrod extension for:
P1 : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Solvable: 1
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Ending with final polynomial:
P : 231/16*t^13 - 3731/80*t^11 + 1182181/20400*t^9 - 200960617/5814000*t^7 + 1942171/193800*t^5 - 241297/193800*t^3 + 38549/872100*t
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Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 1
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 1
Sufficient bits for target precision reached
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The nodes are:
| (0.9887032026126788575 + 1.6572156046072669279e-217j)  +/-  (2.39e-60, 2.39e-60j)
| (-0.9887032026126788575 + 1.1079641587293175825e-219j)  +/-  (2.62e-60, 2.62e-60j)
| (-0.93246951420315202781 - 1.6015165449797603165e-221j)  +/-  (4.26e-60, 4.26e-60j)
| (-0.23861918608319690863 - 1.0131051018343625484e-225j)  +/-  (4.55e-63, 4.55e-63j)
| (0.66120938646626451366 + 1.8803230690045768898e-222j)  +/-  (5.77e-61, 5.77e-61j)
| (0.93246951420315202781 - 2.832044291016467573e-227j)  +/-  (4.24e-60, 4.24e-60j)
| (-4.5289327286229843573e-232 - 3.472181758610954674e-232j)  +/-  (7.42e-231, 7.42e-231j)
| (-0.82137334086502794005 + 9.4844185831622827796e-235j)  +/-  (2.7e-60, 2.7e-60j)
| (-0.66120938646626451366 + 2.1558141699749694976e-241j)  +/-  (6.18e-61, 6.18e-61j)
| (0.23861918608319690863 - 3.7471825145783930794e-245j)  +/-  (4.55e-63, 4.55e-63j)
| (0.82137334086502794005 + 3.1341981611976361485e-247j)  +/-  (2.59e-60, 2.59e-60j)
| (0.46311821247530461216 - 6.7175340595313013659e-252j)  +/-  (7.95e-62, 7.95e-62j)
| (-0.46311821247530461216 - 1.0322987183012290924e-255j)  +/-  (8.64e-62, 8.64e-62j)
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The weights are:
| (0.030396154119819768852 - 1.7502021764470855302e-217j)  +/-  (1.13e-19, 9.33e-49j)
| (0.030396154119819768852 - 1.3854134065630948717e-219j)  +/-  (4.97e-20, 4.09e-49j)
| (0.083694440446906626133 + 5.8278346599180332321e-219j)  +/-  (4.07e-20, 3.35e-49j)
| (0.23377086411699440662 + 3.1264105183892609161e-218j)  +/-  (7.2e-21, 5.93e-50j)
| (0.18107199432313761519 + 9.0805644569775555793e-218j)  +/-  (4.04e-21, 3.33e-50j)
| (0.083694440446906626133 + 2.5819649145933405496e-217j)  +/-  (4.2e-21, 3.46e-50j)
| (0.24107258017346476191 - 4.01326004250051686e-218j)  +/-  (3.67e-21, 3.02e-50j)
| (0.13732060463444692309 - 1.1644046620267885128e-218j)  +/-  (2.03e-21, 1.67e-50j)
| (0.18107199432313761519 + 1.7430185838103639075e-218j)  +/-  (1.12e-21, 9.24e-51j)
| (0.23377086411699440662 + 5.1515464031108222419e-218j)  +/-  (3.43e-22, 2.87e-51j)
| (0.13732060463444692309 - 1.3591711081895226481e-217j)  +/-  (1.07e-22, 8.95e-52j)
| (0.21320965227196227916 - 6.7059786271937979562e-218j)  +/-  (1.13e-22, 9.45e-52j)
| (0.21320965227196227916 - 2.3880550554697168647e-218j)  +/-  (9.01e-23, 6.48e-52j)
