Starting with polynomial:
P : 1/30414093201713378043612608166064768844377641568960512000000000000*t^50 - 1/12165637280685351217445043266425907537751056627584204800000000*t^49 + 1/10133808646968222588459011467243571460017539881369600000000*t^48 - 1/13195063342406539828722671181306733671897838387200000000*t^47 + 47/1122984114247365091806184781387807121012581990400000000*t^46 - 47/2653554145196987457008943245245290928668672000000000*t^45 + 47/7862382652435518391137609615541602751610880000000*t^44 - 47/28428036449921812364650447990078109122560000000*t^43 + 2021/5288937013938941835283804277223834255360000000*t^42 - 2021/26984372520096642016754103455223644160000000*t^41 + 82861/6581554273194302930915634989078937600000000*t^40 - 82861/45248185628210832650044990549917696000000*t^39 + 82861/356987657816259034714358899802112000000*t^38 - 82861/3213877805825046711417358516224000000*t^37 + 3065857/1216061872474341998914676195328000000*t^36 - 3065857/14074790190675254617068011520000000*t^35 + 3065857/183833994327186999080071987200000*t^34 - 3065857/2703441093046867633530470400000*t^33 + 3065857/44684976744576324521164800000*t^32 - 3065857/829115779440381021388800000*t^31 + 95041567/534913406090568400896000000*t^30 - 95041567/12481312808779929354240000*t^29 + 2756205443/9468582130798567096320000*t^28 - 2756205443/277777281898427351040000*t^27 + 2756205443/9144931091306250240000*t^26 - 2756205443/338200114323456000000*t^25 + 2756205443/14069124755855769600*t^24 - 2756205443/659490222930739200*t^23 + 63392725189/802857662698291200*t^22 - 2185956041/1658796823756800*t^21 + 2185956041/112843321344000*t^20 - 70514711/282108303360*t^19 + 1339779509/475129774080*t^18 - 1339779509/48392847360*t^17 + 1339779509/5693276160*t^16 - 1339779509/778377600*t^15 + 1339779509/124540416*t^14 - 253471799/4447872*t^13 + 173428073/684288*t^12 - 13340621/14256*t^11 + 146746831/51840*t^10 - 17895955/2592*t^9 + 2556565/192*t^8 - 59455/3*t^7 + 264845/12*t^6 - 52969/3*t^5 + 57575/6*t^4 - 9800/3*t^3 + 1225/2*t^2 - 50*t + 1
Extension levels are: 50
-------------------------------------------------
Ending with final polynomial:
P : 1/30414093201713378043612608166064768844377641568960512000000000000*t^50 - 1/12165637280685351217445043266425907537751056627584204800000000*t^49 + 1/10133808646968222588459011467243571460017539881369600000000*t^48 - 1/13195063342406539828722671181306733671897838387200000000*t^47 + 47/1122984114247365091806184781387807121012581990400000000*t^46 - 47/2653554145196987457008943245245290928668672000000000*t^45 + 47/7862382652435518391137609615541602751610880000000*t^44 - 47/28428036449921812364650447990078109122560000000*t^43 + 2021/5288937013938941835283804277223834255360000000*t^42 - 2021/26984372520096642016754103455223644160000000*t^41 + 82861/6581554273194302930915634989078937600000000*t^40 - 82861/45248185628210832650044990549917696000000*t^39 + 82861/356987657816259034714358899802112000000*t^38 - 82861/3213877805825046711417358516224000000*t^37 + 3065857/1216061872474341998914676195328000000*t^36 - 3065857/14074790190675254617068011520000000*t^35 + 3065857/183833994327186999080071987200000*t^34 - 3065857/2703441093046867633530470400000*t^33 + 3065857/44684976744576324521164800000*t^32 - 3065857/829115779440381021388800000*t^31 + 95041567/534913406090568400896000000*t^30 - 95041567/12481312808779929354240000*t^29 + 2756205443/9468582130798567096320000*t^28 - 2756205443/277777281898427351040000*t^27 + 2756205443/9144931091306250240000*t^26 - 2756205443/338200114323456000000*t^25 + 2756205443/14069124755855769600*t^24 - 2756205443/659490222930739200*t^23 + 63392725189/802857662698291200*t^22 - 2185956041/1658796823756800*t^21 + 2185956041/112843321344000*t^20 - 70514711/282108303360*t^19 + 1339779509/475129774080*t^18 - 1339779509/48392847360*t^17 + 1339779509/5693276160*t^16 - 1339779509/778377600*t^15 + 1339779509/124540416*t^14 - 253471799/4447872*t^13 + 173428073/684288*t^12 - 13340621/14256*t^11 + 146746831/51840*t^10 - 17895955/2592*t^9 + 2556565/192*t^8 - 59455/3*t^7 + 264845/12*t^6 - 52969/3*t^5 + 57575/6*t^4 - 9800/3*t^3 + 1225/2*t^2 - 50*t + 1
-------------------------------------------------
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 roots: 424
 current precision for weights: 106
Linear system for weights solvable: 0
  current precision for roots: 212
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 212
Linear system for weights solvable: 0
  current precision for roots: 424
  current precision for roots: 848
  current precision for roots: 1696
 current precision for weights: 424
Linear system for weights solvable: 1
  current precision for roots: 848
  current precision for roots: 1696
  current precision for roots: 3392
 current precision for weights: 848
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   50 out of 50
Indefinite weights: 0 out of 50
Negative weights:   0 out of 50
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (180.69834370921451684 - 5.2904298394066825684e-2259j)  +/-  (5.63e-1004, 5.63e-1004j)
| (91.559690412533876382 - 5.5811287639315651478e-2310j)  +/-  (2.22e-996, 2.22e-996j)
| (117.51919820311117549 + 1.6835628622858053956e-2361j)  +/-  (7.05e-998, 7.05e-998j)
| (103.70489123669226289 + 4.3231024399337122852e-2389j)  +/-  (5.66e-997, 5.66e-997j)
| (125.22547013347343967 + 2.525075228626414507e-2400j)  +/-  (1.61e-998, 1.61e-998j)
| (5.7011975747848903101 - 1.514248155860072393e-2417j)  +/-  (3.2e-1008, 3.2e-1008j)
| (165.38564331668254038 + 4.842083192991246526e-2411j)  +/-  (2.67e-1002, 2.67e-1002j)
| (24.079151444411499486 + 2.0287129232735038945e-2409j)  +/-  (8.84e-1000, 8.84e-1000j)
| (142.85832548925411939 + 1.9946934206664516589e-2405j)  +/-  (5.14e-1000, 5.14e-1000j)
| (153.2603719726035866 + 4.5973322431212622085e-2410j)  +/-  (5.12e-1001, 5.12e-1001j)
| (15.809397197844667382 + 2.6918644967410542726e-2420j)  +/-  (2.7e-1002, 2.7e-1002j)
| (14.035754599829908268 + 3.4939995798913624245e-2420j)  +/-  (5.19e-1003, 5.19e-1003j)
| (26.454057841252983897 - 6.2602477541026490945e-2416j)  +/-  (3.09e-999, 3.09e-999j)
| (110.37385880764028209 + 1.4020897696847687891e-2412j)  +/-  (2.25e-997, 2.25e-997j)
| (133.61202792272869499 + 3.8990950951762213231e-2430j)  +/-  (3.43e-999, 3.43e-999j)
| (3.7653997744057823296 + 9.0587743936963335653e-2458j)  +/-  (2.82e-1010, 2.82e-1010j)
| (4.6820893875592845835 + 1.3249546765908159529e-2458j)  +/-  (3.23e-1009, 3.23e-1009j)
| (62.187054175688905655 + 3.4778523008869944249e-2465j)  +/-  (6.78e-996, 6.78e-996j)
| (75.737011547727312131 + 6.2645893028874032131e-2525j)  +/-  (6.49e-996, 6.49e-996j)
| (50.484267963129922656 - 3.4119839763397749298e-2582j)  +/-  (2.52e-996, 2.52e-996j)
| (19.704146535461564638 + 4.1320008938863445661e-2618j)  +/-  (5.85e-1001, 5.85e-1001j)
| (1.1056250235399134233 - 1.4652165179645518595e-2637j)  +/-  (8.17e-1015, 8.17e-1015j)
| (8.051063669390792161 - 8.0966042325948112645e-2658j)  +/-  (2.3e-1006, 2.3e-1006j)
| (70.992944826619490451 + 4.6936500458875379348e-2735j)  +/-  (7.68e-996, 7.68e-996j)
| (85.997211136463229075 - 2.7363584720356877801e-2814j)  +/-  (3.64e-996, 3.64e-996j)
| (40.351297573586065598 + 1.8603917299363879389e-2853j)  +/-  (3.98e-997, 3.98e-997j)
| (12.374981608757462086 - 1.9978980050638870074e-2880j)  +/-  (8.78e-1004, 8.78e-1004j)
| (1.6209617511025014149 + 4.8315431117400287593e-2897j)  +/-  (1.23e-1013, 1.23e-1013j)
| (97.449565614850555658 - 1.4738781708522979946e-2878j)  +/-  (1.24e-996, 1.24e-996j)
| (28.958376011937380403 + 4.8963388035550372981e-2893j)  +/-  (1e-998, 1e-998j)
| (34.370729963090445532 + 1.0578187573502943609e-2891j)  +/-  (7.37e-998, 7.37e-998j)
| (0.15088293567693373238 - 4.2685353514612740563e-2920j)  +/-  (4.56e-1019, 4.56e-1019j)
| (9.3843453082584069218 + 2.3123186170630860886e-2906j)  +/-  (1.97e-1005, 1.97e-1005j)
| (17.698070933350249298 - 7.3830957772551303278e-2904j)  +/-  (1.29e-1001, 1.29e-1001j)
| (54.199244880168622273 - 1.7602911467345913646e-2896j)  +/-  (4.07e-996, 4.07e-996j)
| (43.567720269995021221 + 2.3483065236769325912e-2920j)  +/-  (7.81e-997, 7.81e-997j)
| (58.096828017248526501 - 4.0915358814971674474e-2967j)  +/-  (5.2e-996, 5.2e-996j)
| (0.37094878153489643847 + 3.4505200455304098797e-3033j)  +/-  (1.57e-1017, 1.57e-1017j)
| (2.9501833666418351204 - 5.8271997616263997785e-3027j)  +/-  (2.24e-1011, 2.24e-1011j)
| (46.943043991603038084 + 6.080028032275165561e-3011j)  +/-  (1.49e-996, 1.49e-996j)
| (66.481373878444817064 - 6.493215659952919584e-3050j)  +/-  (7.21e-996, 7.21e-996j)
| (31.595880956622864625 + 1.4719863734669720185e-3081j)  +/-  (2.89e-998, 2.89e-998j)
| (0.68909069988104788096 + 1.6844224573133556521e-3146j)  +/-  (4.31e-1016, 4.31e-1016j)
| (2.2356103759151801252 - 2.6180551194549499822e-3129j)  +/-  (1.75e-1012, 1.75e-1012j)
| (37.287510610550486553 + 2.4397899489047501362e-3138j)  +/-  (1.85e-997, 1.85e-997j)
| (80.73140480247768871 - 1.166980780797945654e-3204j)  +/-  (5.14e-996, 5.14e-996j)
| (0.028630518339379081948 - 7.0940063739064274048e-3285j)  +/-  (5.08e-1021, 5.08e-1021j)
| (21.830223306578255095 + 3.2023661864186627323e-3237j)  +/-  (2.38e-1000, 2.38e-1000j)
| (6.8237909097945513773 + 2.198717467656816202e-3257j)  +/-  (3.04e-1007, 3.04e-1007j)
| (10.825109031549148043 - 1.6392673220270057898e-3252j)  +/-  (1.4e-1004, 1.4e-1004j)
-------------------------------------------------
The weights are:
| (6.0495671522387830948e-78 + 1.5913846617195929346e-2336j)  +/-  (2.19e-186, 2.9e-934j)
| (9.8529714810496861343e-40 + 3.2617128638190975614e-2319j)  +/-  (2.29e-172, 3.04e-920j)
| (6.78957542439641676e-51 + 1.368604598680436317e-2324j)  +/-  (9.17e-178, 1.22e-925j)
| (5.9061627081123604884e-45 + 9.8395345200984571455e-2322j)  +/-  (2.18e-175, 2.89e-923j)
| (3.3081730108492522889e-54 - 3.5516961397506074246e-2326j)  +/-  (2.16e-179, 2.87e-927j)
| (0.0035781124153156601908 - 7.9005094039065448527e-2302j)  +/-  (8.38e-124, 1.11e-871j)
| (1.9887082293307516128e-71 - 3.6254229359506993169e-2334j)  +/-  (2.73e-186, 3.61e-934j)
| (8.0617101422817794832e-11 + 2.7231102387521911351e-2305j)  +/-  (7.64e-153, 1.01e-900j)
| (8.8487281282980176955e-62 - 9.095318064519664848e-2330j)  +/-  (2.5e-183, 3.32e-931j)
| (3.0648948898444166018e-66 + 7.6462193043418013639e-2332j)  +/-  (6.95e-185, 9.22e-933j)
| (2.4928861817200917845e-07 + 1.1654492362117695067e-2303j)  +/-  (6.19e-148, 8.2e-896j)
| (1.3774795031713603562e-06 - 2.5538674671885418092e-2303j)  +/-  (4.5e-146, 5.96e-894j)
| (7.9133930999437228417e-12 - 9.0801800360489881121e-2306j)  +/-  (7.25e-157, 9.62e-905j)
| (8.0128745975039700879e-48 - 4.0935184356584870834e-2323j)  +/-  (6.37e-179, 8.45e-927j)
| (8.250964876440456021e-58 + 6.8258456003652775359e-2328j)  +/-  (2.7e-182, 3.58e-930j)
| (0.020050623080071713675 - 1.5032693516688603029e-2301j)  +/-  (1.57e-130, 2.08e-878j)
| (0.0089608512036462806293 + 1.1264650785300289013e-2301j)  +/-  (2.09e-133, 2.78e-881j)
| (4.118544154638230108e-27 + 4.1336923966002972949e-2313j)  +/-  (2.59e-173, 3.44e-921j)
| (6.2374494988121017565e-33 - 6.3387597809516223186e-2316j)  +/-  (5.5e-176, 7.29e-924j)
| (4.3099702762921753006e-22 - 1.0965621739182482028e-2310j)  +/-  (1.8e-171, 2.39e-919j)
| (5.7233317481414250756e-09 + 2.0191522903049594989e-2304j)  +/-  (1.06e-157, 1.4e-905j)
| (0.15420116860635562195 - 2.2255382439642432279e-2301j)  +/-  (3.4e-125, 4.51e-873j)
| (0.00040803024498371894306 - 3.2135798250788070609e-2302j)  +/-  (5.32e-147, 7.05e-895j)
| (6.8120089165530655136e-31 + 6.1361112224532081021e-2315j)  +/-  (2.38e-175, 3.16e-923j)
| (2.4268623522504871339e-37 - 4.6696637285992792118e-2318j)  +/-  (6.88e-178, 9.13e-926j)
| (9.385589781827253322e-18 + 1.3422465130924510353e-2308j)  +/-  (6.42e-170, 8.51e-918j)
| (6.7778425265420277603e-06 + 5.2668341807692432271e-2303j)  +/-  (2.35e-155, 3.12e-903j)
| (0.11168536990226878894 + 2.2999575204327105793e-2301j)  +/-  (2.21e-137, 2.93e-885j)
| (2.8910788723184281378e-42 - 1.9517225515294469979e-2320j)  +/-  (1.5e-179, 1.99e-927j)
| (6.8157366176767798825e-13 + 2.8341285057264934754e-2306j)  +/-  (1.18e-165, 1.56e-913j)
| (3.3656247624378144081e-15 + 2.2499711993007899218e-2307j)  +/-  (2.83e-168, 3.76e-916j)
| (0.14714860696458836553 + 7.988822642714522183e-2302j)  +/-  (9.16e-141, 1.22e-888j)
| (0.00011652883223097239333 + 1.8685376792084634266e-2302j)  +/-  (1.43e-155, 1.89e-903j)
| (4.0103543504278268139e-08 - 5.0031328250653755126e-2304j)  +/-  (1.72e-160, 2.29e-908j)
| (1.1012575198455480135e-23 + 1.8695180133459037845e-2311j)  +/-  (4.74e-174, 6.29e-922j)
| (3.9500699645034111309e-19 - 2.9283729439187850855e-2309j)  +/-  (7.5e-172, 9.94e-920j)
| (2.3446177556089867146e-25 - 2.9140192771176426538e-2312j)  +/-  (3.22e-175, 4.26e-923j)
| (0.18567162757483134625 - 1.408782869817341983e-2301j)  +/-  (6.48e-151, 8.6e-899j)
| (0.04002027691150833111 + 1.8712657099455884027e-2301j)  +/-  (1.47e-155, 1.95e-903j)
| (1.4177495178275120254e-20 + 5.9040551203170361254e-2310j)  +/-  (6.48e-173, 8.6e-921j)
| (5.9022467635964484321e-29 - 5.3088941257676056139e-2314j)  +/-  (2.93e-177, 3.89e-925j)
| (5.1324267165894902132e-14 - 8.2673784864086990833e-2307j)  +/-  (3.72e-170, 4.93e-918j)
| (0.18438538252735394717 + 1.9168257424610306775e-2301j)  +/-  (1.88e-158, 2.49e-906j)
| (0.0710528854901958562 - 2.1618094053621471366e-2301j)  +/-  (4.05e-160, 5.37e-908j)
| (1.9134763269650353765e-16 - 5.7014760897338641976e-2308j)  +/-  (1.88e-171, 2.49e-919j)
| (4.4524405796833773756e-35 + 5.8055043058328887038e-2317j)  +/-  (9.72e-181, 1.29e-928j)
| (0.071404726135189883536 - 2.4225277101202314197e-2302j)  +/-  (2.32e-162, 3.08e-910j)
| (7.2294342491826646715e-10 - 7.6545649448044541033e-2305j)  +/-  (2.1e-168, 2.79e-916j)
| (0.0012776171567890498762 + 5.198202830329835213e-2302j)  +/-  (1.65e-165, 2.19e-913j)
| (2.9741704936941654528e-05 - 1.0224689720373420739e-2302j)  +/-  (2.02e-166, 2.68e-914j)
Starting with polynomial:
P : 1/30414093201713378043612608166064768844377641568960512000000000000*t^50 - 1/12165637280685351217445043266425907537751056627584204800000000*t^49 + 1/10133808646968222588459011467243571460017539881369600000000*t^48 - 1/13195063342406539828722671181306733671897838387200000000*t^47 + 47/1122984114247365091806184781387807121012581990400000000*t^46 - 47/2653554145196987457008943245245290928668672000000000*t^45 + 47/7862382652435518391137609615541602751610880000000*t^44 - 47/28428036449921812364650447990078109122560000000*t^43 + 2021/5288937013938941835283804277223834255360000000*t^42 - 2021/26984372520096642016754103455223644160000000*t^41 + 82861/6581554273194302930915634989078937600000000*t^40 - 82861/45248185628210832650044990549917696000000*t^39 + 82861/356987657816259034714358899802112000000*t^38 - 82861/3213877805825046711417358516224000000*t^37 + 3065857/1216061872474341998914676195328000000*t^36 - 3065857/14074790190675254617068011520000000*t^35 + 3065857/183833994327186999080071987200000*t^34 - 3065857/2703441093046867633530470400000*t^33 + 3065857/44684976744576324521164800000*t^32 - 3065857/829115779440381021388800000*t^31 + 95041567/534913406090568400896000000*t^30 - 95041567/12481312808779929354240000*t^29 + 2756205443/9468582130798567096320000*t^28 - 2756205443/277777281898427351040000*t^27 + 2756205443/9144931091306250240000*t^26 - 2756205443/338200114323456000000*t^25 + 2756205443/14069124755855769600*t^24 - 2756205443/659490222930739200*t^23 + 63392725189/802857662698291200*t^22 - 2185956041/1658796823756800*t^21 + 2185956041/112843321344000*t^20 - 70514711/282108303360*t^19 + 1339779509/475129774080*t^18 - 1339779509/48392847360*t^17 + 1339779509/5693276160*t^16 - 1339779509/778377600*t^15 + 1339779509/124540416*t^14 - 253471799/4447872*t^13 + 173428073/684288*t^12 - 13340621/14256*t^11 + 146746831/51840*t^10 - 17895955/2592*t^9 + 2556565/192*t^8 - 59455/3*t^7 + 264845/12*t^6 - 52969/3*t^5 + 57575/6*t^4 - 9800/3*t^3 + 1225/2*t^2 - 50*t + 1
Extension levels are: 50
-------------------------------------------------
Ending with final polynomial:
P : 1/30414093201713378043612608166064768844377641568960512000000000000*t^50 - 1/12165637280685351217445043266425907537751056627584204800000000*t^49 + 1/10133808646968222588459011467243571460017539881369600000000*t^48 - 1/13195063342406539828722671181306733671897838387200000000*t^47 + 47/1122984114247365091806184781387807121012581990400000000*t^46 - 47/2653554145196987457008943245245290928668672000000000*t^45 + 47/7862382652435518391137609615541602751610880000000*t^44 - 47/28428036449921812364650447990078109122560000000*t^43 + 2021/5288937013938941835283804277223834255360000000*t^42 - 2021/26984372520096642016754103455223644160000000*t^41 + 82861/6581554273194302930915634989078937600000000*t^40 - 82861/45248185628210832650044990549917696000000*t^39 + 82861/356987657816259034714358899802112000000*t^38 - 82861/3213877805825046711417358516224000000*t^37 + 3065857/1216061872474341998914676195328000000*t^36 - 3065857/14074790190675254617068011520000000*t^35 + 3065857/183833994327186999080071987200000*t^34 - 3065857/2703441093046867633530470400000*t^33 + 3065857/44684976744576324521164800000*t^32 - 3065857/829115779440381021388800000*t^31 + 95041567/534913406090568400896000000*t^30 - 95041567/12481312808779929354240000*t^29 + 2756205443/9468582130798567096320000*t^28 - 2756205443/277777281898427351040000*t^27 + 2756205443/9144931091306250240000*t^26 - 2756205443/338200114323456000000*t^25 + 2756205443/14069124755855769600*t^24 - 2756205443/659490222930739200*t^23 + 63392725189/802857662698291200*t^22 - 2185956041/1658796823756800*t^21 + 2185956041/112843321344000*t^20 - 70514711/282108303360*t^19 + 1339779509/475129774080*t^18 - 1339779509/48392847360*t^17 + 1339779509/5693276160*t^16 - 1339779509/778377600*t^15 + 1339779509/124540416*t^14 - 253471799/4447872*t^13 + 173428073/684288*t^12 - 13340621/14256*t^11 + 146746831/51840*t^10 - 17895955/2592*t^9 + 2556565/192*t^8 - 59455/3*t^7 + 264845/12*t^6 - 52969/3*t^5 + 57575/6*t^4 - 9800/3*t^3 + 1225/2*t^2 - 50*t + 1
-------------------------------------------------
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 roots: 424
 current precision for weights: 106
Linear system for weights solvable: 0
  current precision for roots: 212
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 212
Linear system for weights solvable: 0
  current precision for roots: 424
  current precision for roots: 848
  current precision for roots: 1696
 current precision for weights: 424
Linear system for weights solvable: 1
  current precision for roots: 848
  current precision for roots: 1696
  current precision for roots: 3392
 current precision for weights: 848
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   50 out of 50
Indefinite weights: 0 out of 50
Negative weights:   0 out of 50
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (180.69834370921451684 - 5.2904298394066825684e-2259j)  +/-  (5.63e-1004, 5.63e-1004j)
| (91.559690412533876382 - 5.5811287639315651478e-2310j)  +/-  (2.22e-996, 2.22e-996j)
| (117.51919820311117549 + 1.6835628622858053956e-2361j)  +/-  (7.05e-998, 7.05e-998j)
| (103.70489123669226289 + 4.3231024399337122852e-2389j)  +/-  (5.66e-997, 5.66e-997j)
| (125.22547013347343967 + 2.525075228626414507e-2400j)  +/-  (1.61e-998, 1.61e-998j)
| (5.7011975747848903101 - 1.514248155860072393e-2417j)  +/-  (3.2e-1008, 3.2e-1008j)
| (165.38564331668254038 + 4.842083192991246526e-2411j)  +/-  (2.67e-1002, 2.67e-1002j)
| (24.079151444411499486 + 2.0287129232735038945e-2409j)  +/-  (8.84e-1000, 8.84e-1000j)
| (142.85832548925411939 + 1.9946934206664516589e-2405j)  +/-  (5.14e-1000, 5.14e-1000j)
| (153.2603719726035866 + 4.5973322431212622085e-2410j)  +/-  (5.12e-1001, 5.12e-1001j)
| (15.809397197844667382 + 2.6918644967410542726e-2420j)  +/-  (2.7e-1002, 2.7e-1002j)
| (14.035754599829908268 + 3.4939995798913624245e-2420j)  +/-  (5.19e-1003, 5.19e-1003j)
| (26.454057841252983897 - 6.2602477541026490945e-2416j)  +/-  (3.09e-999, 3.09e-999j)
| (110.37385880764028209 + 1.4020897696847687891e-2412j)  +/-  (2.25e-997, 2.25e-997j)
| (133.61202792272869499 + 3.8990950951762213231e-2430j)  +/-  (3.43e-999, 3.43e-999j)
| (3.7653997744057823296 + 9.0587743936963335653e-2458j)  +/-  (2.82e-1010, 2.82e-1010j)
| (4.6820893875592845835 + 1.3249546765908159529e-2458j)  +/-  (3.23e-1009, 3.23e-1009j)
| (62.187054175688905655 + 3.4778523008869944249e-2465j)  +/-  (6.78e-996, 6.78e-996j)
| (75.737011547727312131 + 6.2645893028874032131e-2525j)  +/-  (6.49e-996, 6.49e-996j)
| (50.484267963129922656 - 3.4119839763397749298e-2582j)  +/-  (2.52e-996, 2.52e-996j)
| (19.704146535461564638 + 4.1320008938863445661e-2618j)  +/-  (5.85e-1001, 5.85e-1001j)
| (1.1056250235399134233 - 1.4652165179645518595e-2637j)  +/-  (8.17e-1015, 8.17e-1015j)
| (8.051063669390792161 - 8.0966042325948112645e-2658j)  +/-  (2.3e-1006, 2.3e-1006j)
| (70.992944826619490451 + 4.6936500458875379348e-2735j)  +/-  (7.68e-996, 7.68e-996j)
| (85.997211136463229075 - 2.7363584720356877801e-2814j)  +/-  (3.64e-996, 3.64e-996j)
| (40.351297573586065598 + 1.8603917299363879389e-2853j)  +/-  (3.98e-997, 3.98e-997j)
| (12.374981608757462086 - 1.9978980050638870074e-2880j)  +/-  (8.78e-1004, 8.78e-1004j)
| (1.6209617511025014149 + 4.8315431117400287593e-2897j)  +/-  (1.23e-1013, 1.23e-1013j)
| (97.449565614850555658 - 1.4738781708522979946e-2878j)  +/-  (1.24e-996, 1.24e-996j)
| (28.958376011937380403 + 4.8963388035550372981e-2893j)  +/-  (1e-998, 1e-998j)
| (34.370729963090445532 + 1.0578187573502943609e-2891j)  +/-  (7.37e-998, 7.37e-998j)
| (0.15088293567693373238 - 4.2685353514612740563e-2920j)  +/-  (4.56e-1019, 4.56e-1019j)
| (9.3843453082584069218 + 2.3123186170630860886e-2906j)  +/-  (1.97e-1005, 1.97e-1005j)
| (17.698070933350249298 - 7.3830957772551303278e-2904j)  +/-  (1.29e-1001, 1.29e-1001j)
| (54.199244880168622273 - 1.7602911467345913646e-2896j)  +/-  (4.07e-996, 4.07e-996j)
| (43.567720269995021221 + 2.3483065236769325912e-2920j)  +/-  (7.81e-997, 7.81e-997j)
| (58.096828017248526501 - 4.0915358814971674474e-2967j)  +/-  (5.2e-996, 5.2e-996j)
| (0.37094878153489643847 + 3.4505200455304098797e-3033j)  +/-  (1.57e-1017, 1.57e-1017j)
| (2.9501833666418351204 - 5.8271997616263997785e-3027j)  +/-  (2.24e-1011, 2.24e-1011j)
| (46.943043991603038084 + 6.080028032275165561e-3011j)  +/-  (1.49e-996, 1.49e-996j)
| (66.481373878444817064 - 6.493215659952919584e-3050j)  +/-  (7.21e-996, 7.21e-996j)
| (31.595880956622864625 + 1.4719863734669720185e-3081j)  +/-  (2.89e-998, 2.89e-998j)
| (0.68909069988104788096 + 1.6844224573133556521e-3146j)  +/-  (4.31e-1016, 4.31e-1016j)
| (2.2356103759151801252 - 2.6180551194549499822e-3129j)  +/-  (1.75e-1012, 1.75e-1012j)
| (37.287510610550486553 + 2.4397899489047501362e-3138j)  +/-  (1.85e-997, 1.85e-997j)
| (80.73140480247768871 - 1.166980780797945654e-3204j)  +/-  (5.14e-996, 5.14e-996j)
| (0.028630518339379081948 - 7.0940063739064274048e-3285j)  +/-  (5.08e-1021, 5.08e-1021j)
| (21.830223306578255095 + 3.2023661864186627323e-3237j)  +/-  (2.38e-1000, 2.38e-1000j)
| (6.8237909097945513773 + 2.198717467656816202e-3257j)  +/-  (3.04e-1007, 3.04e-1007j)
| (10.825109031549148043 - 1.6392673220270057898e-3252j)  +/-  (1.4e-1004, 1.4e-1004j)
-------------------------------------------------
The weights are:
| (6.0495671522387830948e-78 + 1.5913846617195929346e-2336j)  +/-  (2.19e-186, 2.9e-934j)
| (9.8529714810496861343e-40 + 3.2617128638190975614e-2319j)  +/-  (2.29e-172, 3.04e-920j)
| (6.78957542439641676e-51 + 1.368604598680436317e-2324j)  +/-  (9.17e-178, 1.22e-925j)
| (5.9061627081123604884e-45 + 9.8395345200984571455e-2322j)  +/-  (2.18e-175, 2.89e-923j)
| (3.3081730108492522889e-54 - 3.5516961397506074246e-2326j)  +/-  (2.16e-179, 2.87e-927j)
| (0.0035781124153156601908 - 7.9005094039065448527e-2302j)  +/-  (8.38e-124, 1.11e-871j)
| (1.9887082293307516128e-71 - 3.6254229359506993169e-2334j)  +/-  (2.73e-186, 3.61e-934j)
| (8.0617101422817794832e-11 + 2.7231102387521911351e-2305j)  +/-  (7.64e-153, 1.01e-900j)
| (8.8487281282980176955e-62 - 9.095318064519664848e-2330j)  +/-  (2.5e-183, 3.32e-931j)
| (3.0648948898444166018e-66 + 7.6462193043418013639e-2332j)  +/-  (6.95e-185, 9.22e-933j)
| (2.4928861817200917845e-07 + 1.1654492362117695067e-2303j)  +/-  (6.19e-148, 8.2e-896j)
| (1.3774795031713603562e-06 - 2.5538674671885418092e-2303j)  +/-  (4.5e-146, 5.96e-894j)
| (7.9133930999437228417e-12 - 9.0801800360489881121e-2306j)  +/-  (7.25e-157, 9.62e-905j)
| (8.0128745975039700879e-48 - 4.0935184356584870834e-2323j)  +/-  (6.37e-179, 8.45e-927j)
| (8.250964876440456021e-58 + 6.8258456003652775359e-2328j)  +/-  (2.7e-182, 3.58e-930j)
| (0.020050623080071713675 - 1.5032693516688603029e-2301j)  +/-  (1.57e-130, 2.08e-878j)
| (0.0089608512036462806293 + 1.1264650785300289013e-2301j)  +/-  (2.09e-133, 2.78e-881j)
| (4.118544154638230108e-27 + 4.1336923966002972949e-2313j)  +/-  (2.59e-173, 3.44e-921j)
| (6.2374494988121017565e-33 - 6.3387597809516223186e-2316j)  +/-  (5.5e-176, 7.29e-924j)
| (4.3099702762921753006e-22 - 1.0965621739182482028e-2310j)  +/-  (1.8e-171, 2.39e-919j)
| (5.7233317481414250756e-09 + 2.0191522903049594989e-2304j)  +/-  (1.06e-157, 1.4e-905j)
| (0.15420116860635562195 - 2.2255382439642432279e-2301j)  +/-  (3.4e-125, 4.51e-873j)
| (0.00040803024498371894306 - 3.2135798250788070609e-2302j)  +/-  (5.32e-147, 7.05e-895j)
| (6.8120089165530655136e-31 + 6.1361112224532081021e-2315j)  +/-  (2.38e-175, 3.16e-923j)
| (2.4268623522504871339e-37 - 4.6696637285992792118e-2318j)  +/-  (6.88e-178, 9.13e-926j)
| (9.385589781827253322e-18 + 1.3422465130924510353e-2308j)  +/-  (6.42e-170, 8.51e-918j)
| (6.7778425265420277603e-06 + 5.2668341807692432271e-2303j)  +/-  (2.35e-155, 3.12e-903j)
| (0.11168536990226878894 + 2.2999575204327105793e-2301j)  +/-  (2.21e-137, 2.93e-885j)
| (2.8910788723184281378e-42 - 1.9517225515294469979e-2320j)  +/-  (1.5e-179, 1.99e-927j)
| (6.8157366176767798825e-13 + 2.8341285057264934754e-2306j)  +/-  (1.18e-165, 1.56e-913j)
| (3.3656247624378144081e-15 + 2.2499711993007899218e-2307j)  +/-  (2.83e-168, 3.76e-916j)
| (0.14714860696458836553 + 7.988822642714522183e-2302j)  +/-  (9.16e-141, 1.22e-888j)
| (0.00011652883223097239333 + 1.8685376792084634266e-2302j)  +/-  (1.43e-155, 1.89e-903j)
| (4.0103543504278268139e-08 - 5.0031328250653755126e-2304j)  +/-  (1.72e-160, 2.29e-908j)
| (1.1012575198455480135e-23 + 1.8695180133459037845e-2311j)  +/-  (4.74e-174, 6.29e-922j)
| (3.9500699645034111309e-19 - 2.9283729439187850855e-2309j)  +/-  (7.5e-172, 9.94e-920j)
| (2.3446177556089867146e-25 - 2.9140192771176426538e-2312j)  +/-  (3.22e-175, 4.26e-923j)
| (0.18567162757483134625 - 1.408782869817341983e-2301j)  +/-  (6.48e-151, 8.6e-899j)
| (0.04002027691150833111 + 1.8712657099455884027e-2301j)  +/-  (1.47e-155, 1.95e-903j)
| (1.4177495178275120254e-20 + 5.9040551203170361254e-2310j)  +/-  (6.48e-173, 8.6e-921j)
| (5.9022467635964484321e-29 - 5.3088941257676056139e-2314j)  +/-  (2.93e-177, 3.89e-925j)
| (5.1324267165894902132e-14 - 8.2673784864086990833e-2307j)  +/-  (3.72e-170, 4.93e-918j)
| (0.18438538252735394717 + 1.9168257424610306775e-2301j)  +/-  (1.88e-158, 2.49e-906j)
| (0.0710528854901958562 - 2.1618094053621471366e-2301j)  +/-  (4.05e-160, 5.37e-908j)
| (1.9134763269650353765e-16 - 5.7014760897338641976e-2308j)  +/-  (1.88e-171, 2.49e-919j)
| (4.4524405796833773756e-35 + 5.8055043058328887038e-2317j)  +/-  (9.72e-181, 1.29e-928j)
| (0.071404726135189883536 - 2.4225277101202314197e-2302j)  +/-  (2.32e-162, 3.08e-910j)
| (7.2294342491826646715e-10 - 7.6545649448044541033e-2305j)  +/-  (2.1e-168, 2.79e-916j)
| (0.0012776171567890498762 + 5.198202830329835213e-2302j)  +/-  (1.65e-165, 2.19e-913j)
| (2.9741704936941654528e-05 - 1.0224689720373420739e-2302j)  +/-  (2.02e-166, 2.68e-914j)
