Properties

Label 43.9.f.a.22.6
Level 43
Weight 9
Character 43.22
Analytic conductor 17.517
Analytic rank 0
Dimension 174
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(17.5172802326\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 22.6
Character \(\chi\) \(=\) 43.22
Dual form 43.9.f.a.2.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-9.26628 + 19.2416i) q^{2} +(5.00685 + 10.3968i) q^{3} +(-124.763 - 156.448i) q^{4} +(-758.071 + 173.025i) q^{5} -246.447 q^{6} +4635.90i q^{7} +(-1163.81 + 265.632i) q^{8} +(4007.69 - 5025.49i) q^{9} +O(q^{10})\) \(q+(-9.26628 + 19.2416i) q^{2} +(5.00685 + 10.3968i) q^{3} +(-124.763 - 156.448i) q^{4} +(-758.071 + 173.025i) q^{5} -246.447 q^{6} +4635.90i q^{7} +(-1163.81 + 265.632i) q^{8} +(4007.69 - 5025.49i) q^{9} +(3695.22 - 16189.8i) q^{10} +(-14701.2 + 18434.7i) q^{11} +(1001.89 - 2080.45i) q^{12} +(-5437.50 - 23823.3i) q^{13} +(-89202.4 - 42957.6i) q^{14} +(-5594.46 - 7015.23i) q^{15} +(17072.0 - 74797.4i) q^{16} +(-19249.4 + 84337.1i) q^{17} +(59562.2 + 123682. i) q^{18} +(83361.1 - 66478.2i) q^{19} +(121649. + 97011.6i) q^{20} +(-48198.7 + 23211.3i) q^{21} +(-218488. - 453696. i) q^{22} +(110556. - 138633. i) q^{23} +(-8588.74 - 10769.9i) q^{24} +(192794. - 92844.5i) q^{25} +(508784. + 116127. i) q^{26} +(146128. + 33352.8i) q^{27} +(725278. - 578390. i) q^{28} +(267216. - 554880. i) q^{29} +(186824. - 42641.4i) q^{30} +(1.01562e6 + 489096. i) q^{31} +(1.04210e6 + 831051. i) q^{32} +(-265269. - 60545.9i) q^{33} +(-1.44441e6 - 1.15188e6i) q^{34} +(-802126. - 3.51435e6i) q^{35} -1.28624e6 q^{36} +2.37243e6i q^{37} +(506703. + 2.22001e6i) q^{38} +(220462. - 175812. i) q^{39} +(836289. - 402736. i) q^{40} +(-1.86646e6 - 898838. i) q^{41} -1.14250e6i q^{42} +(-268848. - 3.40821e6i) q^{43} +4.71823e6 q^{44} +(-2.16858e6 + 4.50311e6i) q^{45} +(1.64308e6 + 3.41189e6i) q^{46} +(-2.12977e6 - 2.67065e6i) q^{47} +(863132. - 197004. i) q^{48} -1.57268e7 q^{49} +4.56999e6i q^{50} +(-973217. + 222130. i) q^{51} +(-3.04870e6 + 3.82295e6i) q^{52} +(-2.43181e6 + 1.06545e7i) q^{53} +(-1.99583e6 + 2.50269e6i) q^{54} +(7.95488e6 - 1.65185e7i) q^{55} +(-1.23144e6 - 5.39531e6i) q^{56} +(1.10854e6 + 533844. i) q^{57} +(8.20070e6 + 1.02834e7i) q^{58} +(593024. - 2.59821e6i) q^{59} +(-399536. + 1.75048e6i) q^{60} +(-6.68132e6 - 1.38739e7i) q^{61} +(-1.88220e7 + 1.50101e7i) q^{62} +(2.32977e7 + 1.85793e7i) q^{63} +(-7.95167e6 + 3.82932e6i) q^{64} +(8.24403e6 + 1.71189e7i) q^{65} +(3.62306e6 - 4.54317e6i) q^{66} +(-4.94379e6 - 6.19931e6i) q^{67} +(1.55960e7 - 7.51063e6i) q^{68} +(1.99488e6 + 455318. i) q^{69} +(7.50545e7 + 1.71307e7i) q^{70} +(-1.63730e7 + 1.30570e7i) q^{71} +(-3.32926e6 + 6.91328e6i) q^{72} +(2.54849e7 - 5.81676e6i) q^{73} +(-4.56494e7 - 2.19836e7i) q^{74} +(1.93058e6 + 1.53958e6i) q^{75} +(-2.08008e7 - 4.74764e6i) q^{76} +(-8.54615e7 - 6.81532e7i) q^{77} +(1.34006e6 + 5.87116e6i) q^{78} -1.25401e7 q^{79} +5.96556e7i q^{80} +(-8.99951e6 - 3.94294e7i) q^{81} +(3.45902e7 - 2.75848e7i) q^{82} +(-4.90723e7 + 2.36320e7i) q^{83} +(9.64477e6 + 4.64468e6i) q^{84} -6.72642e7i q^{85} +(6.80708e7 + 2.64084e7i) q^{86} +7.10691e6 q^{87} +(1.22125e7 - 2.53596e7i) q^{88} +(3.81472e6 + 7.92134e6i) q^{89} +(-6.65524e7 - 8.34541e7i) q^{90} +(1.10442e8 - 2.52077e7i) q^{91} -3.54821e7 q^{92} +1.30080e7i q^{93} +(7.11227e7 - 1.62333e7i) q^{94} +(-5.16913e7 + 6.48188e7i) q^{95} +(-3.42263e6 + 1.49955e7i) q^{96} +(-8.23714e7 + 1.03291e8i) q^{97} +(1.45729e8 - 3.02609e8i) q^{98} +(3.37255e7 + 1.47761e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} + O(q^{10}) \) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} - 24989q^{10} - 14864q^{11} - 1799q^{12} + 133078q^{13} - 243363q^{14} - 7457q^{15} - 558511q^{16} + 55162q^{17} - 45934q^{18} + 619745q^{19} + 1207493q^{20} + 307272q^{21} + 432761q^{22} + 473962q^{23} + 179363q^{24} + 2991984q^{25} + 112889q^{26} - 7q^{27} + 458745q^{28} + 1369823q^{29} + 4208148q^{30} + 608540q^{31} - 15074437q^{32} - 10988257q^{33} + 1542905q^{34} - 4078926q^{35} + 53343072q^{36} - 15207265q^{38} - 16862587q^{39} - 537581q^{40} - 852935q^{41} + 2982351q^{43} - 10366284q^{44} + 52423812q^{45} + 51003036q^{46} + 5828578q^{47} - 32078599q^{48} - 145853506q^{49} - 30015937q^{51} + 71975797q^{52} - 7800770q^{53} + 43151245q^{54} - 53485957q^{55} + 25379079q^{56} - 21662515q^{57} - 191329035q^{58} + 69716890q^{59} - 106388277q^{60} - 49131775q^{61} + 67656953q^{62} + 355075q^{63} + 227160853q^{64} - 87064999q^{65} + 146686057q^{66} - 31581292q^{67} + 200919430q^{68} - 30179079q^{69} + 86518670q^{70} - 60255454q^{71} - 438784346q^{72} - 50897868q^{73} + 5087868q^{74} + 206284834q^{75} + 461519674q^{76} + 256281375q^{77} - 182130842q^{78} - 236682026q^{79} - 488977844q^{81} - 226181851q^{82} - 429023996q^{83} - 513228846q^{84} + 336855461q^{86} + 255103986q^{87} + 977894029q^{88} - 258201748q^{89} + 1399550866q^{90} + 246776320q^{91} + 363749100q^{92} - 637129955q^{94} + 60088655q^{95} - 1169196874q^{96} + 218930393q^{97} - 330217825q^{98} + 459482633q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −9.26628 + 19.2416i −0.579143 + 1.20260i 0.381385 + 0.924416i \(0.375447\pi\)
−0.960527 + 0.278186i \(0.910267\pi\)
\(3\) 5.00685 + 10.3968i 0.0618129 + 0.128356i 0.929587 0.368604i \(-0.120164\pi\)
−0.867774 + 0.496960i \(0.834450\pi\)
\(4\) −124.763 156.448i −0.487356 0.611125i
\(5\) −758.071 + 173.025i −1.21291 + 0.276840i −0.780685 0.624924i \(-0.785130\pi\)
−0.432229 + 0.901764i \(0.642273\pi\)
\(6\) −246.447 −0.190160
\(7\) 4635.90i 1.93082i 0.260733 + 0.965411i \(0.416036\pi\)
−0.260733 + 0.965411i \(0.583964\pi\)
\(8\) −1163.81 + 265.632i −0.284133 + 0.0648515i
\(9\) 4007.69 5025.49i 0.610835 0.765963i
\(10\) 3695.22 16189.8i 0.369522 1.61898i
\(11\) −14701.2 + 18434.7i −1.00411 + 1.25911i −0.0384623 + 0.999260i \(0.512246\pi\)
−0.965648 + 0.259854i \(0.916325\pi\)
\(12\) 1001.89 2080.45i 0.0483166 0.100330i
\(13\) −5437.50 23823.3i −0.190382 0.834119i −0.976410 0.215927i \(-0.930723\pi\)
0.786027 0.618192i \(-0.212134\pi\)
\(14\) −89202.4 42957.6i −2.32201 1.11822i
\(15\) −5594.46 7015.23i −0.110508 0.138572i
\(16\) 17072.0 74797.4i 0.260498 1.14132i
\(17\) −19249.4 + 84337.1i −0.230474 + 1.00977i 0.718775 + 0.695243i \(0.244703\pi\)
−0.949248 + 0.314528i \(0.898154\pi\)
\(18\) 59562.2 + 123682.i 0.567388 + 1.17819i
\(19\) 83361.1 66478.2i 0.639660 0.510112i −0.249104 0.968477i \(-0.580136\pi\)
0.888764 + 0.458365i \(0.151565\pi\)
\(20\) 121649. + 97011.6i 0.760304 + 0.606323i
\(21\) −48198.7 + 23211.3i −0.247832 + 0.119350i
\(22\) −218488. 453696.i −0.932691 1.93675i
\(23\) 110556. 138633.i 0.395067 0.495398i −0.544023 0.839071i \(-0.683099\pi\)
0.939090 + 0.343672i \(0.111671\pi\)
\(24\) −8588.74 10769.9i −0.0258872 0.0324615i
\(25\) 192794. 92844.5i 0.493551 0.237682i
\(26\) 508784. + 116127.i 1.11337 + 0.254120i
\(27\) 146128. + 33352.8i 0.274966 + 0.0627591i
\(28\) 725278. 578390.i 1.17997 0.940997i
\(29\) 267216. 554880.i 0.377808 0.784526i −0.622191 0.782866i \(-0.713757\pi\)
0.999999 0.00166044i \(-0.000528535\pi\)
\(30\) 186824. 42641.4i 0.230647 0.0526437i
\(31\) 1.01562e6 + 489096.i 1.09973 + 0.529600i 0.893572 0.448920i \(-0.148191\pi\)
0.206153 + 0.978520i \(0.433905\pi\)
\(32\) 1.04210e6 + 831051.i 0.993828 + 0.792552i
\(33\) −265269. 60545.9i −0.223682 0.0510539i
\(34\) −1.44441e6 1.15188e6i −1.08088 0.861970i
\(35\) −802126. 3.51435e6i −0.534528 2.34192i
\(36\) −1.28624e6 −0.765794
\(37\) 2.37243e6i 1.26586i 0.774209 + 0.632930i \(0.218148\pi\)
−0.774209 + 0.632930i \(0.781852\pi\)
\(38\) 506703. + 2.22001e6i 0.243007 + 1.06468i
\(39\) 220462. 175812.i 0.0952959 0.0759960i
\(40\) 836289. 402736.i 0.326675 0.157319i
\(41\) −1.86646e6 898838.i −0.660514 0.318087i 0.0734262 0.997301i \(-0.476607\pi\)
−0.733941 + 0.679214i \(0.762321\pi\)
\(42\) 1.14250e6i 0.367164i
\(43\) −268848. 3.40821e6i −0.0786382 0.996903i
\(44\) 4.71823e6 1.25884
\(45\) −2.16858e6 + 4.50311e6i −0.528842 + 1.09815i
\(46\) 1.64308e6 + 3.41189e6i 0.366967 + 0.762015i
\(47\) −2.12977e6 2.67065e6i −0.436457 0.547300i 0.514148 0.857701i \(-0.328108\pi\)
−0.950606 + 0.310401i \(0.899537\pi\)
\(48\) 863132. 197004.i 0.162597 0.0371117i
\(49\) −1.57268e7 −2.72807
\(50\) 4.56999e6i 0.731198i
\(51\) −973217. + 222130.i −0.143856 + 0.0328343i
\(52\) −3.04870e6 + 3.82295e6i −0.416967 + 0.522860i
\(53\) −2.43181e6 + 1.06545e7i −0.308196 + 1.35029i 0.549224 + 0.835675i \(0.314923\pi\)
−0.857419 + 0.514618i \(0.827934\pi\)
\(54\) −1.99583e6 + 2.50269e6i −0.234719 + 0.294328i
\(55\) 7.95488e6 1.65185e7i 0.869327 1.80518i
\(56\) −1.23144e6 5.39531e6i −0.125217 0.548610i
\(57\) 1.10854e6 + 533844.i 0.105015 + 0.0505726i
\(58\) 8.20070e6 + 1.02834e7i 0.724668 + 0.908705i
\(59\) 593024. 2.59821e6i 0.0489400 0.214420i −0.944545 0.328382i \(-0.893497\pi\)
0.993485 + 0.113961i \(0.0363540\pi\)
\(60\) −399536. + 1.75048e6i −0.0308284 + 0.135068i
\(61\) −6.68132e6 1.38739e7i −0.482551 1.00203i −0.990095 0.140401i \(-0.955161\pi\)
0.507544 0.861626i \(-0.330553\pi\)
\(62\) −1.88220e7 + 1.50101e7i −1.27380 + 1.01582i
\(63\) 2.32977e7 + 1.85793e7i 1.47894 + 1.17941i
\(64\) −7.95167e6 + 3.82932e6i −0.473957 + 0.228245i
\(65\) 8.24403e6 + 1.71189e7i 0.461834 + 0.959009i
\(66\) 3.62306e6 4.54317e6i 0.190941 0.239433i
\(67\) −4.94379e6 6.19931e6i −0.245336 0.307641i 0.643883 0.765124i \(-0.277322\pi\)
−0.889218 + 0.457483i \(0.848751\pi\)
\(68\) 1.55960e7 7.51063e6i 0.729419 0.351270i
\(69\) 1.99488e6 + 455318.i 0.0880075 + 0.0200871i
\(70\) 7.50545e7 + 1.71307e7i 3.12597 + 0.713482i
\(71\) −1.63730e7 + 1.30570e7i −0.644310 + 0.513820i −0.890254 0.455464i \(-0.849473\pi\)
0.245944 + 0.969284i \(0.420902\pi\)
\(72\) −3.32926e6 + 6.91328e6i −0.123885 + 0.257249i
\(73\) 2.54849e7 5.81676e6i 0.897411 0.204828i 0.251153 0.967947i \(-0.419190\pi\)
0.646258 + 0.763119i \(0.276333\pi\)
\(74\) −4.56494e7 2.19836e7i −1.52233 0.733114i
\(75\) 1.93058e6 + 1.53958e6i 0.0610157 + 0.0486584i
\(76\) −2.08008e7 4.74764e6i −0.623484 0.142306i
\(77\) −8.54615e7 6.81532e7i −2.43113 1.93876i
\(78\) 1.34006e6 + 5.87116e6i 0.0362030 + 0.158616i
\(79\) −1.25401e7 −0.321953 −0.160976 0.986958i \(-0.551464\pi\)
−0.160976 + 0.986958i \(0.551464\pi\)
\(80\) 5.96556e7i 1.45644i
\(81\) −8.99951e6 3.94294e7i −0.209064 0.915968i
\(82\) 3.45902e7 2.75848e7i 0.765064 0.610118i
\(83\) −4.90723e7 + 2.36320e7i −1.03401 + 0.497953i −0.872344 0.488893i \(-0.837401\pi\)
−0.161665 + 0.986846i \(0.551687\pi\)
\(84\) 9.64477e6 + 4.64468e6i 0.193720 + 0.0932907i
\(85\) 6.72642e7i 1.28857i
\(86\) 6.80708e7 + 2.64084e7i 1.24442 + 0.482779i
\(87\) 7.10691e6 0.124052
\(88\) 1.22125e7 2.53596e7i 0.203645 0.422874i
\(89\) 3.81472e6 + 7.92134e6i 0.0607998 + 0.126252i 0.929155 0.369691i \(-0.120537\pi\)
−0.868355 + 0.495943i \(0.834822\pi\)
\(90\) −6.65524e7 8.34541e7i −1.01436 1.27197i
\(91\) 1.10442e8 2.52077e7i 1.61053 0.367594i
\(92\) −3.54821e7 −0.495289
\(93\) 1.30080e7i 0.173892i
\(94\) 7.11227e7 1.62333e7i 0.910955 0.207920i
\(95\) −5.16913e7 + 6.48188e7i −0.634633 + 0.795805i
\(96\) −3.42263e6 + 1.49955e7i −0.0402972 + 0.176554i
\(97\) −8.23714e7 + 1.03291e8i −0.930443 + 1.16674i 0.0552983 + 0.998470i \(0.482389\pi\)
−0.985741 + 0.168269i \(0.946182\pi\)
\(98\) 1.45729e8 3.02609e8i 1.57994 3.28079i
\(99\) 3.37255e7 + 1.47761e8i 0.351089 + 1.53822i
\(100\) −3.85789e7 1.85786e7i −0.385789 0.185786i
\(101\) 2.07891e6 + 2.60688e6i 0.0199780 + 0.0250516i 0.791720 0.610884i \(-0.209186\pi\)
−0.771742 + 0.635936i \(0.780614\pi\)
\(102\) 4.74395e6 2.07846e7i 0.0438268 0.192018i
\(103\) −3.79005e6 + 1.66053e7i −0.0336741 + 0.147536i −0.988970 0.148115i \(-0.952679\pi\)
0.955296 + 0.295651i \(0.0955366\pi\)
\(104\) 1.26564e7 + 2.62813e7i 0.108188 + 0.224654i
\(105\) 3.25219e7 2.59354e7i 0.267559 0.213371i
\(106\) −1.82475e8 1.45519e8i −1.44538 1.15265i
\(107\) 7.73093e7 3.72302e7i 0.589789 0.284027i −0.115090 0.993355i \(-0.536716\pi\)
0.704879 + 0.709328i \(0.251001\pi\)
\(108\) −1.30134e7 2.70226e7i −0.0956525 0.198624i
\(109\) −1.04109e8 + 1.30549e8i −0.737534 + 0.924839i −0.999187 0.0403233i \(-0.987161\pi\)
0.261652 + 0.965162i \(0.415733\pi\)
\(110\) 2.44130e8 + 3.06130e8i 1.66744 + 2.09091i
\(111\) −2.46657e7 + 1.18784e7i −0.162481 + 0.0782466i
\(112\) 3.46753e8 + 7.91442e7i 2.20368 + 0.502976i
\(113\) 1.84431e8 + 4.20952e7i 1.13115 + 0.258178i 0.746826 0.665020i \(-0.231577\pi\)
0.384325 + 0.923198i \(0.374434\pi\)
\(114\) −2.05441e7 + 1.63833e7i −0.121637 + 0.0970026i
\(115\) −5.98224e7 + 1.24222e8i −0.342036 + 0.710246i
\(116\) −1.20149e8 + 2.74231e7i −0.663570 + 0.151456i
\(117\) −1.41515e8 6.81502e7i −0.755196 0.363683i
\(118\) 4.44986e7 + 3.54865e7i 0.229519 + 0.183035i
\(119\) −3.90979e8 8.92383e7i −1.94969 0.445004i
\(120\) 8.37434e6 + 6.67832e6i 0.0403855 + 0.0322064i
\(121\) −7.60140e7 3.33039e8i −0.354611 1.55365i
\(122\) 3.28868e8 1.48451
\(123\) 2.39056e7i 0.104443i
\(124\) −5.01937e7 2.19913e8i −0.212306 0.930173i
\(125\) 1.07384e8 8.56361e7i 0.439846 0.350765i
\(126\) −5.73378e8 + 2.76124e8i −2.27488 + 1.09553i
\(127\) 9.10315e7 + 4.38385e7i 0.349927 + 0.168516i 0.600587 0.799559i \(-0.294934\pi\)
−0.250661 + 0.968075i \(0.580648\pi\)
\(128\) 1.52736e8i 0.568986i
\(129\) 3.40885e7 1.98596e7i 0.123098 0.0717152i
\(130\) −4.05787e8 −1.42077
\(131\) −1.26015e8 + 2.61673e8i −0.427894 + 0.888532i 0.569872 + 0.821733i \(0.306993\pi\)
−0.997766 + 0.0667986i \(0.978722\pi\)
\(132\) 2.36235e7 + 4.90547e7i 0.0778123 + 0.161579i
\(133\) 3.08187e8 + 3.86454e8i 0.984935 + 1.23507i
\(134\) 1.65095e8 3.76820e7i 0.512054 0.116873i
\(135\) −1.16546e8 −0.350884
\(136\) 1.03266e8i 0.301856i
\(137\) −5.37008e8 + 1.22569e8i −1.52440 + 0.347934i −0.900948 0.433928i \(-0.857127\pi\)
−0.623452 + 0.781862i \(0.714270\pi\)
\(138\) −2.72462e7 + 3.41656e7i −0.0751258 + 0.0942047i
\(139\) 5.39727e7 2.36470e8i 0.144582 0.633457i −0.849754 0.527179i \(-0.823250\pi\)
0.994337 0.106278i \(-0.0338932\pi\)
\(140\) −4.49736e8 + 5.63952e8i −1.17070 + 1.46801i
\(141\) 1.71028e7 3.55144e7i 0.0432705 0.0898520i
\(142\) −9.95218e7 4.36034e8i −0.244774 1.07242i
\(143\) 5.19112e8 + 2.49991e8i 1.24142 + 0.597834i
\(144\) −3.07474e8 3.85560e8i −0.715086 0.896689i
\(145\) −1.06561e8 + 4.66874e8i −0.241060 + 1.05616i
\(146\) −1.24226e8 + 5.44271e8i −0.273402 + 1.19785i
\(147\) −7.87417e7 1.63509e8i −0.168630 0.350164i
\(148\) 3.71161e8 2.95991e8i 0.773599 0.616925i
\(149\) −5.10293e8 4.06945e8i −1.03532 0.825640i −0.0504138 0.998728i \(-0.516054\pi\)
−0.984906 + 0.173088i \(0.944625\pi\)
\(150\) −4.75133e7 + 2.28812e7i −0.0938535 + 0.0451975i
\(151\) 3.62995e6 + 7.53767e6i 0.00698221 + 0.0144987i 0.904431 0.426620i \(-0.140296\pi\)
−0.897449 + 0.441119i \(0.854582\pi\)
\(152\) −7.93576e7 + 9.95113e7i −0.148667 + 0.186422i
\(153\) 3.46689e8 + 4.34735e8i 0.632666 + 0.793338i
\(154\) 2.10329e9 1.01289e9i 3.73952 1.80086i
\(155\) −8.54538e8 1.95043e8i −1.48049 0.337911i
\(156\) −5.50109e7 1.25559e7i −0.0928861 0.0212006i
\(157\) 7.10902e8 5.66926e8i 1.17007 0.933099i 0.171427 0.985197i \(-0.445162\pi\)
0.998642 + 0.0520982i \(0.0165909\pi\)
\(158\) 1.16200e8 2.41292e8i 0.186457 0.387181i
\(159\) −1.22948e8 + 2.80622e7i −0.192369 + 0.0439069i
\(160\) −9.33782e8 4.49686e8i −1.42484 0.686166i
\(161\) 6.42688e8 + 5.12527e8i 0.956526 + 0.762804i
\(162\) 8.42078e8 + 1.92199e8i 1.22262 + 0.279056i
\(163\) −2.15305e8 1.71700e8i −0.305002 0.243231i 0.459013 0.888430i \(-0.348203\pi\)
−0.764015 + 0.645198i \(0.776775\pi\)
\(164\) 9.22435e7 + 4.04145e8i 0.127515 + 0.558678i
\(165\) 2.11569e8 0.285440
\(166\) 1.16321e9i 1.53189i
\(167\) −7.19294e7 3.15143e8i −0.0924785 0.405175i 0.907408 0.420251i \(-0.138058\pi\)
−0.999886 + 0.0150764i \(0.995201\pi\)
\(168\) 4.99284e7 3.98166e7i 0.0626773 0.0499835i
\(169\) 1.96967e8 9.48542e7i 0.241460 0.116281i
\(170\) 1.29427e9 + 6.23289e8i 1.54964 + 0.746266i
\(171\) 6.85354e8i 0.801550i
\(172\) −4.99666e8 + 4.67280e8i −0.570908 + 0.533904i
\(173\) −6.25919e8 −0.698769 −0.349385 0.936979i \(-0.613609\pi\)
−0.349385 + 0.936979i \(0.613609\pi\)
\(174\) −6.58546e7 + 1.36748e8i −0.0718438 + 0.149185i
\(175\) 4.30418e8 + 8.93772e8i 0.458921 + 0.952960i
\(176\) 1.12789e9 + 1.41433e9i 1.17548 + 1.47401i
\(177\) 2.99823e7 6.84326e6i 0.0305472 0.00697220i
\(178\) −1.87768e8 −0.187043
\(179\) 1.54823e9i 1.50807i −0.656832 0.754037i \(-0.728104\pi\)
0.656832 0.754037i \(-0.271896\pi\)
\(180\) 9.75061e8 2.22551e8i 0.928842 0.212002i
\(181\) 3.47421e8 4.35652e8i 0.323699 0.405906i −0.593181 0.805069i \(-0.702128\pi\)
0.916880 + 0.399164i \(0.130699\pi\)
\(182\) −5.38352e8 + 2.35867e9i −0.490660 + 2.14972i
\(183\) 1.10792e8 1.38929e8i 0.0987881 0.123876i
\(184\) −9.18407e7 + 1.90709e8i −0.0801243 + 0.166380i
\(185\) −4.10489e8 1.79847e9i −0.350441 1.53538i
\(186\) −2.50296e8 1.20536e8i −0.209123 0.100708i
\(187\) −1.27174e9 1.59471e9i −1.04000 1.30411i
\(188\) −1.52101e8 + 6.66397e8i −0.121759 + 0.533460i
\(189\) −1.54620e8 + 6.77436e8i −0.121177 + 0.530910i
\(190\) −7.68234e8 1.59525e9i −0.589493 1.22410i
\(191\) 3.05581e8 2.43693e8i 0.229611 0.183109i −0.501925 0.864911i \(-0.667375\pi\)
0.731537 + 0.681802i \(0.238803\pi\)
\(192\) −7.96256e7 6.34993e7i −0.0585933 0.0467266i
\(193\) −1.27637e9 + 6.14669e8i −0.919917 + 0.443009i −0.833041 0.553211i \(-0.813402\pi\)
−0.0868753 + 0.996219i \(0.527688\pi\)
\(194\) −1.22420e9 2.54208e9i −0.864263 1.79466i
\(195\) −1.36706e8 + 1.71423e8i −0.0945471 + 0.118558i
\(196\) 1.96212e9 + 2.46043e9i 1.32954 + 1.66719i
\(197\) −4.65423e8 + 2.24136e8i −0.309018 + 0.148815i −0.581965 0.813214i \(-0.697716\pi\)
0.272947 + 0.962029i \(0.412002\pi\)
\(198\) −3.15568e9 7.20262e8i −2.05320 0.468630i
\(199\) −1.51986e9 3.46898e8i −0.969152 0.221203i −0.291488 0.956575i \(-0.594150\pi\)
−0.677664 + 0.735372i \(0.737007\pi\)
\(200\) −1.99712e8 + 1.59265e8i −0.124820 + 0.0995408i
\(201\) 3.97004e7 8.24387e7i 0.0243226 0.0505065i
\(202\) −6.94244e7 + 1.58457e7i −0.0416972 + 0.00951710i
\(203\) 2.57237e9 + 1.23879e9i 1.51478 + 0.729480i
\(204\) 1.56173e8 + 1.24544e8i 0.0901750 + 0.0719122i
\(205\) 1.57043e9 + 3.58440e8i 0.889206 + 0.202956i
\(206\) −2.84394e8 2.26796e8i −0.157925 0.125941i
\(207\) −2.53623e8 1.11119e9i −0.138136 0.605214i
\(208\) −1.87475e9 −1.00159
\(209\) 2.51404e9i 1.31761i
\(210\) 1.97681e8 + 8.66099e8i 0.101646 + 0.445339i
\(211\) 2.41328e9 1.92453e9i 1.21753 0.970944i 0.217539 0.976052i \(-0.430197\pi\)
0.999987 + 0.00510742i \(0.00162575\pi\)
\(212\) 1.97027e9 9.48832e8i 0.975399 0.469727i
\(213\) −2.17729e8 1.04853e8i −0.105779 0.0509403i
\(214\) 1.83254e9i 0.873774i
\(215\) 7.93512e8 + 2.53715e9i 0.371364 + 1.18739i
\(216\) −1.78925e8 −0.0821969
\(217\) −2.26740e9 + 4.70831e9i −1.02256 + 2.12337i
\(218\) −1.54726e9 3.21293e9i −0.685076 1.42257i
\(219\) 1.88075e8 + 2.35838e8i 0.0817625 + 0.102527i
\(220\) −3.57676e9 + 8.16372e8i −1.52686 + 0.348496i
\(221\) 2.11385e9 0.886147
\(222\) 5.84677e8i 0.240716i
\(223\) 3.32408e9 7.58700e8i 1.34416 0.306797i 0.510885 0.859649i \(-0.329318\pi\)
0.833279 + 0.552852i \(0.186461\pi\)
\(224\) −3.85267e9 + 4.83110e9i −1.53028 + 1.91891i
\(225\) 3.06068e8 1.34097e9i 0.119423 0.523227i
\(226\) −2.51897e9 + 3.15869e9i −0.965583 + 1.21080i
\(227\) −5.46884e8 + 1.13562e9i −0.205964 + 0.427689i −0.978205 0.207641i \(-0.933422\pi\)
0.772241 + 0.635330i \(0.219136\pi\)
\(228\) −5.47859e7 2.40033e8i −0.0202735 0.0888242i
\(229\) −1.29974e9 6.25924e8i −0.472624 0.227604i 0.182381 0.983228i \(-0.441619\pi\)
−0.655006 + 0.755624i \(0.727334\pi\)
\(230\) −1.83591e9 2.30216e9i −0.656055 0.822667i
\(231\) 2.80685e8 1.22976e9i 0.0985760 0.431890i
\(232\) −1.63595e8 + 7.16756e8i −0.0564700 + 0.247411i
\(233\) 5.23851e8 + 1.08779e9i 0.177739 + 0.369080i 0.970737 0.240145i \(-0.0771950\pi\)
−0.792998 + 0.609225i \(0.791481\pi\)
\(234\) 2.62264e9 2.09149e9i 0.874733 0.697576i
\(235\) 2.07661e9 + 1.65604e9i 0.680899 + 0.542999i
\(236\) −4.80472e8 + 2.31383e8i −0.154889 + 0.0745905i
\(237\) −6.27863e7 1.30377e8i −0.0199008 0.0413245i
\(238\) 5.34001e9 6.69616e9i 1.66431 2.08698i
\(239\) 5.68837e8 + 7.13299e8i 0.174340 + 0.218615i 0.861322 0.508059i \(-0.169637\pi\)
−0.686983 + 0.726674i \(0.741065\pi\)
\(240\) −6.20229e8 + 2.98687e8i −0.186942 + 0.0900266i
\(241\) −4.70554e8 1.07401e8i −0.139489 0.0318375i 0.152206 0.988349i \(-0.451362\pi\)
−0.291695 + 0.956511i \(0.594219\pi\)
\(242\) 7.11258e9 + 1.62340e9i 2.07379 + 0.473330i
\(243\) 1.13374e9 9.04125e8i 0.325152 0.259300i
\(244\) −1.33696e9 + 2.77623e9i −0.377190 + 0.783242i
\(245\) 1.19220e10 2.72113e9i 3.30892 0.755239i
\(246\) 4.59982e8 + 2.21516e8i 0.125603 + 0.0604873i
\(247\) −2.03700e9 1.62446e9i −0.547273 0.436436i
\(248\) −1.31191e9 2.99434e8i −0.346814 0.0791579i
\(249\) −4.91395e8 3.91875e8i −0.127830 0.101941i
\(250\) 6.52725e8 + 2.85978e9i 0.167098 + 0.732103i
\(251\) −7.55032e9 −1.90226 −0.951132 0.308786i \(-0.900077\pi\)
−0.951132 + 0.308786i \(0.900077\pi\)
\(252\) 5.96288e9i 1.47861i
\(253\) 9.30350e8 + 4.07613e9i 0.227072 + 0.994869i
\(254\) −1.68705e9 + 1.34538e9i −0.405315 + 0.323228i
\(255\) 6.99334e8 3.36781e8i 0.165396 0.0796503i
\(256\) −4.97452e9 2.39560e9i −1.15822 0.557770i
\(257\) 5.52842e9i 1.26727i 0.773633 + 0.633634i \(0.218437\pi\)
−0.773633 + 0.633634i \(0.781563\pi\)
\(258\) 6.62568e7 + 8.39943e8i 0.0149538 + 0.189571i
\(259\) −1.09983e10 −2.44415
\(260\) 1.64967e9 3.42557e9i 0.360997 0.749617i
\(261\) −1.71762e9 3.56668e9i −0.370140 0.768603i
\(262\) −3.86732e9 4.84946e9i −0.820739 1.02917i
\(263\) 4.61005e9 1.05221e9i 0.963568 0.219928i 0.288332 0.957530i \(-0.406899\pi\)
0.675235 + 0.737602i \(0.264042\pi\)
\(264\) 3.24805e8 0.0668663
\(265\) 8.49761e9i 1.72311i
\(266\) −1.02918e10 + 2.34903e9i −2.05571 + 0.469203i
\(267\) −6.32571e7 + 7.93218e7i −0.0124470 + 0.0156080i
\(268\) −3.53068e8 + 1.54689e9i −0.0684414 + 0.299861i
\(269\) 2.32265e9 2.91251e9i 0.443583 0.556236i −0.508900 0.860825i \(-0.669948\pi\)
0.952484 + 0.304590i \(0.0985193\pi\)
\(270\) 1.07995e9 2.24254e9i 0.203212 0.421974i
\(271\) 1.95529e9 + 8.56671e9i 0.362523 + 1.58832i 0.746768 + 0.665084i \(0.231604\pi\)
−0.384246 + 0.923231i \(0.625538\pi\)
\(272\) 5.97957e9 + 2.87961e9i 1.09243 + 0.526087i
\(273\) 8.15048e8 + 1.02204e9i 0.146735 + 0.183999i
\(274\) 2.61765e9 1.14687e10i 0.464418 2.03475i
\(275\) −1.12273e9 + 4.91901e9i −0.196311 + 0.860097i
\(276\) −1.77654e8 3.68901e8i −0.0306152 0.0635732i
\(277\) −1.37525e9 + 1.09672e9i −0.233594 + 0.186285i −0.733290 0.679916i \(-0.762016\pi\)
0.499696 + 0.866201i \(0.333445\pi\)
\(278\) 4.04994e9 + 3.22972e9i 0.678063 + 0.540737i
\(279\) 6.52824e9 3.14383e9i 1.07740 0.518851i
\(280\) 1.86704e9 + 3.87696e9i 0.303754 + 0.630752i
\(281\) −3.33651e9 + 4.18386e9i −0.535140 + 0.671045i −0.973747 0.227635i \(-0.926901\pi\)
0.438606 + 0.898679i \(0.355472\pi\)
\(282\) 5.24875e8 + 6.58173e8i 0.0829965 + 0.104074i
\(283\) 2.05584e9 9.90039e8i 0.320511 0.154350i −0.266709 0.963777i \(-0.585936\pi\)
0.587221 + 0.809427i \(0.300222\pi\)
\(284\) 4.08550e9 + 9.32488e8i 0.628017 + 0.143341i
\(285\) −9.32720e8 2.12887e8i −0.141375 0.0322679i
\(286\) −9.62048e9 + 7.67208e9i −1.43791 + 1.14670i
\(287\) 4.16693e9 8.65271e9i 0.614169 1.27534i
\(288\) 8.35287e9 1.90649e9i 1.21413 0.277117i
\(289\) −4.57267e8 2.20208e8i −0.0655509 0.0315676i
\(290\) −7.99599e9 6.37659e9i −1.13053 0.901564i
\(291\) −1.48631e9 3.39242e8i −0.207271 0.0473083i
\(292\) −4.08960e9 3.26134e9i −0.562534 0.448606i
\(293\) −1.76382e9 7.72782e9i −0.239323 1.04854i −0.941625 0.336664i \(-0.890701\pi\)
0.702302 0.711879i \(-0.252156\pi\)
\(294\) 3.87582e9 0.518769
\(295\) 2.07223e9i 0.273622i
\(296\) −6.30192e8 2.76105e9i −0.0820930 0.359673i
\(297\) −2.76310e9 + 2.20350e9i −0.355117 + 0.283196i
\(298\) 1.25588e10 6.04800e9i 1.59251 0.766915i
\(299\) −3.90383e9 1.87999e9i −0.488435 0.235218i
\(300\) 4.94118e8i 0.0610022i
\(301\) 1.58002e10 1.24636e9i 1.92484 0.151836i
\(302\) −1.78673e8 −0.0214799
\(303\) −1.66944e7 + 3.46663e7i −0.00198062 + 0.00411280i
\(304\) −3.54926e9 7.37011e9i −0.415569 0.862938i
\(305\) 7.46545e9 + 9.36137e9i 0.862693 + 1.08178i
\(306\) −1.15775e10 + 2.64249e9i −1.32047 + 0.301390i
\(307\) −6.30078e9 −0.709317 −0.354659 0.934996i \(-0.615403\pi\)
−0.354659 + 0.934996i \(0.615403\pi\)
\(308\) 2.18733e10i 2.43059i
\(309\) −1.91619e8 + 4.37357e7i −0.0210186 + 0.00479736i
\(310\) 1.16713e10 1.46354e10i 1.26379 1.58474i
\(311\) −2.29903e9 + 1.00727e10i −0.245755 + 1.07672i 0.689927 + 0.723879i \(0.257643\pi\)
−0.935682 + 0.352845i \(0.885214\pi\)
\(312\) −2.09874e8 + 2.63173e8i −0.0221483 + 0.0277730i
\(313\) −1.60655e9 + 3.33603e9i −0.167385 + 0.347578i −0.967741 0.251947i \(-0.918929\pi\)
0.800356 + 0.599524i \(0.204644\pi\)
\(314\) 4.32116e9 + 1.89322e10i 0.444510 + 1.94752i
\(315\) −2.08760e10 1.00533e10i −2.12033 1.02110i
\(316\) 1.56454e9 + 1.96187e9i 0.156906 + 0.196753i
\(317\) 2.49809e9 1.09448e10i 0.247384 1.08386i −0.686738 0.726905i \(-0.740958\pi\)
0.934122 0.356954i \(-0.116185\pi\)
\(318\) 5.99312e8 2.62576e9i 0.0586064 0.256771i
\(319\) 6.30066e9 + 1.30834e10i 0.608447 + 1.26345i
\(320\) 5.36537e9 4.27874e9i 0.511681 0.408052i
\(321\) 7.74152e8 + 6.17366e8i 0.0729132 + 0.0581463i
\(322\) −1.58172e10 + 7.61715e9i −1.47131 + 0.708548i
\(323\) 4.00193e9 + 8.31010e9i 0.367671 + 0.763477i
\(324\) −5.04585e9 + 6.32729e9i −0.457882 + 0.574166i
\(325\) −3.26017e9 4.08813e9i −0.292218 0.366430i
\(326\) 5.29886e9 2.55180e9i 0.469150 0.225931i
\(327\) −1.87855e9 4.28766e8i −0.164298 0.0374999i
\(328\) 2.41096e9 + 5.50285e8i 0.208302 + 0.0475437i
\(329\) 1.23809e10 9.87342e9i 1.05674 0.842721i
\(330\) −1.96045e9 + 4.07093e9i −0.165311 + 0.343271i
\(331\) −1.72448e10 + 3.93600e9i −1.43663 + 0.327901i −0.868767 0.495221i \(-0.835087\pi\)
−0.567863 + 0.823123i \(0.692230\pi\)
\(332\) 9.81959e9 + 4.72887e9i 0.808242 + 0.389229i
\(333\) 1.19226e10 + 9.50795e9i 0.969603 + 0.773233i
\(334\) 6.73039e9 + 1.53617e9i 0.540822 + 0.123439i
\(335\) 4.82038e9 + 3.84412e9i 0.382738 + 0.305224i
\(336\) 9.13293e8 + 4.00140e9i 0.0716561 + 0.313946i
\(337\) −1.89150e10 −1.46652 −0.733258 0.679950i \(-0.762001\pi\)
−0.733258 + 0.679950i \(0.762001\pi\)
\(338\) 4.66891e9i 0.357724i
\(339\) 4.85762e8 + 2.12826e9i 0.0367811 + 0.161149i
\(340\) −1.05233e10 + 8.39208e9i −0.787477 + 0.627992i
\(341\) −2.39471e10 + 1.15323e10i −1.77107 + 0.852903i
\(342\) 1.31873e10 + 6.35069e9i 0.963946 + 0.464212i
\(343\) 4.61829e10i 3.33660i
\(344\) 1.21822e9 + 3.89509e9i 0.0869944 + 0.278153i
\(345\) −1.59104e9 −0.112306
\(346\) 5.79994e9 1.20437e10i 0.404687 0.840341i
\(347\) 2.30855e9 + 4.79375e9i 0.159229 + 0.330642i 0.965286 0.261196i \(-0.0841169\pi\)
−0.806057 + 0.591838i \(0.798403\pi\)
\(348\) −8.86680e8 1.11186e9i −0.0604574 0.0758112i
\(349\) −1.05660e10 + 2.41163e9i −0.712213 + 0.162558i −0.563252 0.826285i \(-0.690450\pi\)
−0.148961 + 0.988843i \(0.547593\pi\)
\(350\) −2.11860e10 −1.41181
\(351\) 3.66260e9i 0.241302i
\(352\) −3.06403e10 + 6.99345e9i −1.99583 + 0.455534i
\(353\) 4.36258e9 5.47050e9i 0.280960 0.352312i −0.621248 0.783614i \(-0.713374\pi\)
0.902208 + 0.431302i \(0.141945\pi\)
\(354\) −1.46149e8 + 6.40320e8i −0.00930641 + 0.0407741i
\(355\) 1.01527e10 1.27311e10i 0.639247 0.801591i
\(356\) 7.63342e8 1.58510e9i 0.0475246 0.0986860i
\(357\) −1.02978e9 4.51174e9i −0.0633971 0.277761i
\(358\) 2.97904e10 + 1.43463e10i 1.81361 + 0.873390i
\(359\) −1.18777e10 1.48942e10i −0.715081 0.896683i 0.282968 0.959129i \(-0.408681\pi\)
−0.998048 + 0.0624468i \(0.980110\pi\)
\(360\) 1.32765e9 5.81680e9i 0.0790447 0.346317i
\(361\) −1.24949e9 + 5.47435e9i −0.0735703 + 0.322332i
\(362\) 5.16335e9 + 1.07218e10i 0.300675 + 0.624359i
\(363\) 3.08196e9 2.45778e9i 0.177501 0.141552i
\(364\) −1.77228e10 1.41335e10i −1.00955 0.805089i
\(365\) −1.83129e10 + 8.81904e9i −1.03178 + 0.496878i
\(366\) 1.64659e9 + 3.41918e9i 0.0917616 + 0.190545i
\(367\) −8.55064e7 + 1.07222e8i −0.00471340 + 0.00591042i −0.784183 0.620530i \(-0.786917\pi\)
0.779469 + 0.626441i \(0.215489\pi\)
\(368\) −8.48196e9 1.06360e10i −0.462493 0.579947i
\(369\) −1.19973e10 + 5.77758e9i −0.647109 + 0.311631i
\(370\) 3.84092e10 + 8.76665e9i 2.04941 + 0.467764i
\(371\) −4.93931e10 1.12736e10i −2.60718 0.595071i
\(372\) 2.03508e9 1.62292e9i 0.106270 0.0847474i
\(373\) −6.00068e8 + 1.24605e9i −0.0310003 + 0.0643727i −0.915894 0.401420i \(-0.868517\pi\)
0.884894 + 0.465793i \(0.154231\pi\)
\(374\) 4.24692e10 9.69331e9i 2.17064 0.495434i
\(375\) 1.42800e9 + 6.87688e8i 0.0722109 + 0.0347750i
\(376\) 3.18806e9 + 2.54239e9i 0.159505 + 0.127201i
\(377\) −1.46720e10 3.34880e9i −0.726316 0.165777i
\(378\) −1.16022e10 9.25246e9i −0.568295 0.453200i
\(379\) 3.36978e9 + 1.47640e10i 0.163322 + 0.715561i 0.988567 + 0.150785i \(0.0481802\pi\)
−0.825244 + 0.564776i \(0.808963\pi\)
\(380\) 1.65899e10 0.795628
\(381\) 1.16593e9i 0.0553316i
\(382\) 1.85745e9 + 8.13801e9i 0.0872295 + 0.382177i
\(383\) 5.60157e9 4.46710e9i 0.260324 0.207602i −0.484626 0.874721i \(-0.661044\pi\)
0.744951 + 0.667120i \(0.232473\pi\)
\(384\) −1.58797e9 + 7.64726e8i −0.0730327 + 0.0351707i
\(385\) 7.65781e10 + 3.68781e10i 3.48547 + 1.67851i
\(386\) 3.02552e10i 1.36286i
\(387\) −1.82054e10 1.23080e10i −0.811626 0.548710i
\(388\) 2.64365e10 1.16648
\(389\) −8.97485e9 + 1.86365e10i −0.391948 + 0.813889i 0.607855 + 0.794048i \(0.292030\pi\)
−0.999803 + 0.0198407i \(0.993684\pi\)
\(390\) −2.03171e9 4.21890e9i −0.0878222 0.182365i
\(391\) 9.56375e9 + 1.19926e10i 0.409186 + 0.513104i
\(392\) 1.83030e10 4.17754e9i 0.775136 0.176920i
\(393\) −3.35150e9 −0.140498
\(394\) 1.10324e10i 0.457810i
\(395\) 9.50628e9 2.16975e9i 0.390501 0.0891293i
\(396\) 1.89092e10 2.37114e10i 0.768941 0.964222i
\(397\) 8.22609e9 3.60409e10i 0.331155 1.45089i −0.485742 0.874102i \(-0.661451\pi\)
0.816897 0.576783i \(-0.195692\pi\)
\(398\) 2.07584e10 2.60302e10i 0.827296 1.03740i
\(399\) −2.47485e9 + 5.13908e9i −0.0976466 + 0.202765i
\(400\) −3.65315e9 1.60055e10i −0.142701 0.625215i
\(401\) 7.00316e9 + 3.37254e9i 0.270842 + 0.130431i 0.564376 0.825518i \(-0.309117\pi\)
−0.293533 + 0.955949i \(0.594831\pi\)
\(402\) 1.21838e9 + 1.52780e9i 0.0466529 + 0.0585009i
\(403\) 6.12944e9 2.68548e10i 0.232381 1.01813i
\(404\) 1.48469e8 6.50484e8i 0.00557326 0.0244181i
\(405\) 1.36445e10 + 2.83332e10i 0.507153 + 1.05311i
\(406\) −4.76727e10 + 3.80177e10i −1.75455 + 1.39921i
\(407\) −4.37350e10 3.48775e10i −1.59386 1.27106i
\(408\) 1.07363e9 5.17035e8i 0.0387450 0.0186586i
\(409\) 2.05664e10 + 4.27066e10i 0.734963 + 1.52617i 0.846489 + 0.532406i \(0.178712\pi\)
−0.111526 + 0.993762i \(0.535574\pi\)
\(410\) −2.14490e10 + 2.68962e10i −0.759052 + 0.951821i
\(411\) −3.96304e9 4.96950e9i −0.138887 0.174159i
\(412\) 3.07073e9 1.47878e9i 0.106574 0.0513235i
\(413\) 1.20450e10 + 2.74920e9i 0.414007 + 0.0944945i
\(414\) 2.37313e10 + 5.41652e9i 0.807832 + 0.184382i
\(415\) 3.31114e10 2.64055e10i 1.11631 0.890229i
\(416\) 1.41319e10 2.93452e10i 0.471875 0.979858i
\(417\) 2.72877e9 6.22824e8i 0.0902449 0.0205978i
\(418\) −4.83743e10 2.32958e10i −1.58456 0.763086i
\(419\) 2.06515e10 + 1.64690e10i 0.670032 + 0.534333i 0.898365 0.439251i \(-0.144756\pi\)
−0.228333 + 0.973583i \(0.573327\pi\)
\(420\) −8.11507e9 1.85221e9i −0.260792 0.0595242i
\(421\) 1.00664e10 + 8.02765e9i 0.320438 + 0.255541i 0.770477 0.637468i \(-0.220018\pi\)
−0.450039 + 0.893009i \(0.648590\pi\)
\(422\) 1.46689e10 + 6.42687e10i 0.462539 + 2.02651i
\(423\) −2.19568e10 −0.685815
\(424\) 1.30457e10i 0.403650i
\(425\) 4.11908e9 + 1.80468e10i 0.126254 + 0.553153i
\(426\) 4.03508e9 3.21787e9i 0.122522 0.0977078i
\(427\) 6.43181e10 3.09740e10i 1.93474 0.931719i
\(428\) −1.54699e10 7.44993e9i −0.461013 0.222012i
\(429\) 6.64879e9i 0.196297i
\(430\) −5.61718e10 8.24150e9i −1.64303 0.241064i
\(431\) −3.62906e10 −1.05168 −0.525841 0.850583i \(-0.676249\pi\)
−0.525841 + 0.850583i \(0.676249\pi\)
\(432\) 4.98940e9 1.03606e10i 0.143256 0.297475i
\(433\) 7.15048e9 + 1.48481e10i 0.203415 + 0.422396i 0.977573 0.210597i \(-0.0675406\pi\)
−0.774158 + 0.632993i \(0.781826\pi\)
\(434\) −6.95852e10 8.72571e10i −1.96136 2.45947i
\(435\) −5.38754e9 + 1.22967e9i −0.150464 + 0.0343425i
\(436\) 3.34130e10 0.924634
\(437\) 1.89061e10i 0.518415i
\(438\) −6.28067e9 + 1.43352e9i −0.170651 + 0.0389500i
\(439\) −1.21666e10 + 1.52564e10i −0.327575 + 0.410766i −0.918160 0.396209i \(-0.870325\pi\)
0.590585 + 0.806975i \(0.298897\pi\)
\(440\) −4.87013e9 + 2.13374e10i −0.129936 + 0.569287i
\(441\) −6.30282e10 + 7.90348e10i −1.66640 + 2.08960i
\(442\) −1.95876e10 + 4.06740e10i −0.513205 + 1.06568i
\(443\) 2.53579e9 + 1.11100e10i 0.0658414 + 0.288470i 0.997120 0.0758373i \(-0.0241630\pi\)
−0.931279 + 0.364307i \(0.881306\pi\)
\(444\) 4.93572e9 + 2.37692e9i 0.127004 + 0.0611621i
\(445\) −4.26241e9 5.34490e9i −0.108697 0.136301i
\(446\) −1.62033e10 + 7.09911e10i −0.409509 + 1.79417i
\(447\) 1.67598e9 7.34294e9i 0.0419796 0.183925i
\(448\) −1.77524e10 3.68632e10i −0.440701 0.915126i
\(449\) 2.41356e10 1.92475e10i 0.593846 0.473576i −0.279854 0.960043i \(-0.590286\pi\)
0.873699 + 0.486467i \(0.161714\pi\)
\(450\) 2.29664e10 + 1.83151e10i 0.560071 + 0.446641i
\(451\) 4.40089e10 2.11936e10i 1.06374 0.512269i
\(452\) −1.64245e10 3.41058e10i −0.393494 0.817099i
\(453\) −6.01932e7 + 7.54799e7i −0.00142940 + 0.00179242i
\(454\) −1.67835e10 2.10459e10i −0.395057 0.495386i
\(455\) −7.93616e10 + 3.82185e10i −1.85168 + 0.891720i
\(456\) −1.43193e9 3.26829e8i −0.0331180 0.00755896i
\(457\) −4.25424e10 9.71003e9i −0.975343 0.222616i −0.294990 0.955500i \(-0.595316\pi\)
−0.680353 + 0.732885i \(0.738173\pi\)
\(458\) 2.40876e10 1.92092e10i 0.547434 0.436564i
\(459\) −5.62575e9 + 1.16820e10i −0.126745 + 0.263188i
\(460\) 2.68980e10 6.13929e9i 0.600742 0.137116i
\(461\) 7.68493e9 + 3.70087e9i 0.170152 + 0.0819407i 0.517021 0.855973i \(-0.327041\pi\)
−0.346869 + 0.937913i \(0.612755\pi\)
\(462\) 2.10617e10 + 1.67961e10i 0.462302 + 0.368673i
\(463\) −5.40134e10 1.23282e10i −1.17538 0.268272i −0.410141 0.912022i \(-0.634521\pi\)
−0.765236 + 0.643750i \(0.777378\pi\)
\(464\) −3.69417e10 2.94600e10i −0.796975 0.635566i
\(465\) −2.25071e9 9.86103e9i −0.0481403 0.210916i
\(466\) −2.57849e10 −0.546793
\(467\) 1.23460e10i 0.259572i 0.991542 + 0.129786i \(0.0414291\pi\)
−0.991542 + 0.129786i \(0.958571\pi\)
\(468\) 6.99393e9 + 3.06424e10i 0.145793 + 0.638763i
\(469\) 2.87394e10 2.29189e10i 0.594000 0.473699i
\(470\) −5.11073e10 + 2.46120e10i −1.04735 + 0.504377i
\(471\) 9.45361e9 + 4.55262e9i 0.192094 + 0.0925076i
\(472\) 3.18134e9i 0.0640977i
\(473\) 6.67818e10 + 4.51486e10i 1.33418 + 0.901986i
\(474\) 3.09046e9 0.0612224
\(475\) 9.89934e9 2.05562e10i 0.194461 0.403802i
\(476\) 3.48186e10 + 7.23015e10i 0.678239 + 1.40838i
\(477\) 4.37979e10 + 5.49208e10i 0.846019 + 1.06087i
\(478\) −1.89960e10 + 4.33572e9i −0.363874 + 0.0830520i
\(479\) 5.41028e10 1.02773 0.513864 0.857872i \(-0.328214\pi\)
0.513864 + 0.857872i \(0.328214\pi\)
\(480\) 1.19599e10i 0.225300i
\(481\) 5.65189e10 1.29001e10i 1.05588 0.240997i
\(482\) 6.42685e9 8.05901e9i 0.119072 0.149312i
\(483\) −2.11081e9 + 9.24806e9i −0.0387847 + 0.169927i
\(484\) −4.26195e10 + 5.34432e10i −0.776653 + 0.973892i
\(485\) 4.45716e10 9.25539e10i 0.805548 1.67274i
\(486\) 6.89131e9 + 3.01928e10i 0.123526 + 0.541201i
\(487\) −3.61234e10 1.73961e10i −0.642203 0.309269i 0.0842914 0.996441i \(-0.473137\pi\)
−0.726494 + 0.687173i \(0.758852\pi\)
\(488\) 1.14611e10 + 1.43718e10i 0.202092 + 0.253415i
\(489\) 7.07135e8 3.09816e9i 0.0123671 0.0541837i
\(490\) −5.81140e10 + 2.54614e11i −1.00808 + 4.41670i
\(491\) 1.91664e10 + 3.97994e10i 0.329772 + 0.684779i 0.998261 0.0589427i \(-0.0187729\pi\)
−0.668489 + 0.743722i \(0.733059\pi\)
\(492\) −3.73998e9 + 2.98253e9i −0.0638276 + 0.0509008i
\(493\) 4.16533e10 + 3.32174e10i 0.705117 + 0.562312i
\(494\) 5.01327e10 2.41426e10i 0.841808 0.405393i
\(495\) −5.11327e10 1.06178e11i −0.851683 1.76854i
\(496\) 5.39218e10 6.76158e10i 0.890918 1.11718i
\(497\) −6.05312e10 7.59037e10i −0.992096 1.24405i
\(498\) 1.20937e10 5.82403e9i 0.196627 0.0946904i
\(499\) 4.32403e9 + 9.86931e8i 0.0697407 + 0.0159179i 0.257249 0.966345i \(-0.417184\pi\)
−0.187508 + 0.982263i \(0.560041\pi\)
\(500\) −2.67952e10 6.11582e9i −0.428723 0.0978532i
\(501\) 2.91635e9 2.32571e9i 0.0462902 0.0369152i
\(502\) 6.99634e10 1.45281e11i 1.10168 2.28767i
\(503\) −2.47203e10 + 5.64224e9i −0.386173 + 0.0881414i −0.411199 0.911545i \(-0.634890\pi\)
0.0250268 + 0.999687i \(0.492033\pi\)
\(504\) −3.20493e10 1.54341e10i −0.496702 0.239199i
\(505\) −2.02702e9 1.61649e9i −0.0311668 0.0248547i
\(506\) −8.70523e10 1.98691e10i −1.32794 0.303093i
\(507\) 1.97236e9 + 1.57291e9i 0.0298508 + 0.0238052i
\(508\) −4.49894e9 1.97111e10i −0.0675546 0.295976i
\(509\) −3.83640e10 −0.571548 −0.285774 0.958297i \(-0.592251\pi\)
−0.285774 + 0.958297i \(0.592251\pi\)
\(510\) 1.65770e10i 0.245034i
\(511\) 2.69659e10 + 1.18146e11i 0.395487 + 1.73274i
\(512\) 6.16207e10 4.91408e10i 0.896699 0.715093i
\(513\) 1.43986e10 6.93402e9i 0.207899 0.100119i
\(514\) −1.06376e11 5.12279e10i −1.52402 0.733929i
\(515\) 1.32438e10i 0.188271i
\(516\) −7.35998e9 2.85534e9i −0.103819 0.0402771i
\(517\) 8.05427e10 1.12736
\(518\) 1.01914e11 2.11626e11i 1.41551 2.93934i
\(519\) −3.13388e9 6.50757e9i −0.0431930 0.0896911i
\(520\) −1.41418e10 1.77333e10i −0.193416 0.242535i
\(521\) −2.86085e10 + 6.52971e9i −0.388280 + 0.0886223i −0.412204 0.911091i \(-0.635241\pi\)
0.0239245 + 0.999714i \(0.492384\pi\)
\(522\) 8.45448e10 1.13869
\(523\) 8.66434e10i 1.15805i 0.815309 + 0.579027i \(0.196567\pi\)
−0.815309 + 0.579027i \(0.803433\pi\)
\(524\) 5.66602e10 1.29323e10i 0.751541 0.171534i
\(525\) −7.13736e9 + 8.94996e9i −0.0939507 + 0.117810i
\(526\) −2.24717e10 + 9.84549e10i −0.293557 + 1.28616i
\(527\) −6.07990e10 + 7.62396e10i −0.788232 + 0.988412i
\(528\) −9.05735e9 + 1.88078e10i −0.116537 + 0.241992i
\(529\) 1.04294e10 + 4.56942e10i 0.133179 + 0.583497i
\(530\) 1.63508e11 + 7.87412e10i 2.07222 + 0.997927i
\(531\) −1.06806e10 1.33930e10i −0.134344 0.168462i
\(532\) 2.20096e10 9.64304e10i 0.274768 1.20384i
\(533\) −1.12644e10 + 4.93525e10i −0.139572 + 0.611505i
\(534\) −9.40124e8 1.95219e9i −0.0115617 0.0240080i
\(535\) −5.21642e10 + 4.15996e10i −0.636733 + 0.507778i
\(536\) 7.40036e9 + 5.90159e9i 0.0896590 + 0.0715006i
\(537\) 1.60967e10 7.75174e9i 0.193570 0.0932185i
\(538\) 3.45192e10 + 7.16798e10i 0.412032 + 0.855594i
\(539\) 2.31203e11 2.89919e11i 2.73929 3.43496i
\(540\) 1.45407e10 + 1.82334e10i 0.171005 + 0.214434i
\(541\) 4.21465e10 2.02967e10i 0.492008 0.236939i −0.171393 0.985203i \(-0.554827\pi\)
0.663401 + 0.748264i \(0.269112\pi\)
\(542\) −1.82956e11 4.17585e10i −2.12006 0.483891i
\(543\) 6.26888e9 + 1.43083e9i 0.0721092 + 0.0164584i
\(544\) −9.01483e10 + 7.18909e10i −1.02935 + 0.820877i
\(545\) 5.63339e10 1.16979e11i 0.638534 1.32593i
\(546\) −2.72182e10 + 6.21237e9i −0.306258 + 0.0699015i
\(547\) −1.40756e11 6.77845e10i −1.57224 0.757149i −0.574135 0.818761i \(-0.694662\pi\)
−0.998100 + 0.0616121i \(0.980376\pi\)
\(548\) 8.61744e10 + 6.87218e10i 0.955556 + 0.762031i
\(549\) −9.64998e10 2.20254e10i −1.06227 0.242457i
\(550\) −8.42463e10 6.71842e10i −0.920662 0.734203i
\(551\) −1.46120e10 6.40195e10i −0.158527 0.694554i
\(552\) −2.44260e9 −0.0263085
\(553\) 5.81346e10i 0.621633i
\(554\) −8.35931e9 3.66245e10i −0.0887424 0.388806i
\(555\) 1.66431e10 1.32724e10i 0.175413 0.139887i
\(556\) −4.37291e10 + 2.10588e10i −0.457584 + 0.220361i
\(557\) 8.83468e10 + 4.25456e10i 0.917847 + 0.442012i 0.832302 0.554323i \(-0.187023\pi\)
0.0855447 + 0.996334i \(0.472737\pi\)
\(558\) 1.54746e11i 1.59618i
\(559\) −7.97329e10 + 2.49370e10i −0.816564 + 0.255386i
\(560\) −2.76558e11 −2.81212
\(561\) 1.02125e10 2.12065e10i 0.103105 0.214101i
\(562\) −4.95871e10 1.02969e11i −0.497077 1.03219i
\(563\) 2.68093e10 + 3.36178e10i 0.266841 + 0.334608i 0.897142 0.441743i \(-0.145640\pi\)
−0.630301 + 0.776351i \(0.717068\pi\)
\(564\) −7.68996e9 + 1.75518e9i −0.0759989 + 0.0173463i
\(565\) −1.47096e11 −1.44346
\(566\) 4.87317e10i 0.474838i
\(567\) 1.82791e11 4.17208e10i 1.76857 0.403665i
\(568\) 1.55867e10 1.95451e10i 0.149748 0.187778i
\(569\) −1.51532e10 + 6.63905e10i −0.144562 + 0.633369i 0.849779 + 0.527139i \(0.176735\pi\)
−0.994342 + 0.106230i \(0.966122\pi\)
\(570\) 1.27391e10 1.59744e10i 0.120682 0.151330i
\(571\) −6.65607e10 + 1.38215e11i −0.626143 + 1.30020i 0.310720 + 0.950502i \(0.399430\pi\)
−0.936863 + 0.349698i \(0.886284\pi\)
\(572\) −2.56554e10 1.12404e11i −0.239660 1.05002i
\(573\) 4.06363e9 + 1.95694e9i 0.0376961 + 0.0181535i
\(574\) 1.27880e11 + 1.60357e11i 1.17803 + 1.47720i
\(575\) 8.44319e9 3.69920e10i 0.0772387 0.338405i
\(576\) −1.26236e10 + 5.53078e10i −0.114682 + 0.502454i
\(577\) 7.05906e10 + 1.46583e11i 0.636860 + 1.32245i 0.930414 + 0.366511i \(0.119448\pi\)
−0.293554 + 0.955943i \(0.594838\pi\)
\(578\) 8.47433e9 6.75805e9i 0.0759266 0.0605494i
\(579\) −1.27812e10 1.01927e10i −0.113725 0.0906930i
\(580\) 8.63364e10 4.15774e10i 0.762925 0.367405i
\(581\) −1.09556e11 2.27495e11i −0.961458 1.99649i
\(582\) 2.03002e10 2.54556e10i 0.176933 0.221866i
\(583\) −1.60661e11 2.01463e11i −1.39071 1.74390i
\(584\) −2.81144e10 + 1.35392e10i −0.241701 + 0.116397i
\(585\) 1.19070e11 + 2.71770e10i 1.01667 + 0.232048i
\(586\) 1.65040e11 + 3.76693e10i 1.39958 + 0.319446i
\(587\) 5.38817e10 4.29693e10i 0.453826 0.361914i −0.369740 0.929135i \(-0.620553\pi\)
0.823565 + 0.567221i \(0.191982\pi\)
\(588\) −1.57566e10 + 3.27188e10i −0.131811 + 0.273709i
\(589\) 1.17177e11 2.67450e10i 0.973605 0.222219i
\(590\) −3.98732e10 1.92019e10i −0.329058 0.158466i
\(591\) −4.66061e9 3.71671e9i −0.0382026 0.0304655i
\(592\) 1.77451e11 + 4.05021e10i 1.44475 + 0.329755i
\(593\) −1.07451e11 8.56895e10i −0.868946 0.692961i 0.0838810 0.996476i \(-0.473268\pi\)
−0.952827 + 0.303515i \(0.901840\pi\)
\(594\) −1.67953e10 7.35849e10i −0.134909 0.591075i
\(595\) 3.11830e11 2.48800
\(596\) 1.30606e11i 1.03509i
\(597\) −4.00307e9 1.75386e10i −0.0315135 0.138069i
\(598\) 7.23480e10 5.76956e10i 0.565747 0.451168i
\(599\) 1.05885e10 5.09916e9i 0.0822484 0.0396087i −0.392307 0.919834i \(-0.628323\pi\)
0.474556 + 0.880225i \(0.342609\pi\)
\(600\) −2.65578e9 1.27896e9i −0.0204922 0.00986850i
\(601\) 2.00984e11i 1.54051i 0.637738 + 0.770253i \(0.279870\pi\)
−0.637738 + 0.770253i \(0.720130\pi\)
\(602\) −1.22427e11 + 3.15570e11i −0.932160 + 2.40275i
\(603\) −5.09677e10 −0.385502
\(604\) 7.26369e8 1.50832e9i 0.00545770 0.0113330i
\(605\) 1.15248e11 + 2.39315e11i 0.860225 + 1.78628i
\(606\) −5.12342e8 6.42456e8i −0.00379900 0.00476379i
\(607\) −1.73809e11 + 3.96708e10i −1.28032 + 0.292225i −0.807989 0.589197i \(-0.799444\pi\)
−0.472330 + 0.881422i \(0.656587\pi\)
\(608\) 1.42118e11 1.04000
\(609\) 3.29469e10i 0.239522i
\(610\) −2.49305e11 + 5.69023e10i −1.80058 + 0.410970i
\(611\) −5.20429e10 + 6.52598e10i −0.373419 + 0.468253i
\(612\) 2.47593e10 1.08478e11i 0.176495 0.773276i
\(613\) −1.59972e10 + 2.00598e10i −0.113293 + 0.142065i −0.835244 0.549879i \(-0.814674\pi\)
0.721952 + 0.691943i \(0.243245\pi\)
\(614\) 5.83848e10 1.21237e11i 0.410796 0.853026i
\(615\) 4.13625e9 + 1.81221e10i 0.0289139 + 0.126680i
\(616\) 1.17564e11 + 5.66161e10i 0.816495 + 0.393203i
\(617\) −1.39863e11 1.75383e11i −0.965078 1.21017i −0.977648 0.210249i \(-0.932573\pi\)
0.0125700 0.999921i \(-0.495999\pi\)
\(618\) 9.34047e8 4.09233e9i 0.00640346 0.0280554i
\(619\) −4.04191e10 + 1.77088e11i −0.275311 + 1.20622i 0.628337 + 0.777942i \(0.283736\pi\)
−0.903648 + 0.428276i \(0.859121\pi\)
\(620\) 7.61007e10 + 1.58025e11i 0.515018 + 1.06945i
\(621\) 2.07791e10 1.65708e10i 0.139721 0.111424i
\(622\) −1.72512e11 1.37574e11i −1.15254 0.919123i
\(623\) −3.67226e10 + 1.76847e10i −0.243770 + 0.117394i
\(624\) −9.38657e9 1.94914e10i −0.0619111 0.128560i
\(625\) −1.18704e11 + 1.48850e11i −0.777938 + 0.975503i
\(626\) −4.93039e10 6.18251e10i −0.321058 0.402594i
\(627\) −2.61381e10 + 1.25874e10i −0.169123 + 0.0814455i
\(628\) −1.77389e11 4.04878e10i −1.14048 0.260307i
\(629\) −2.00084e11 4.56678e10i −1.27823 0.291748i
\(630\) 3.86885e11 3.08531e11i 2.45595 1.95856i
\(631\) 7.59859e10 1.57786e11i 0.479309 0.995295i −0.511406 0.859339i \(-0.670875\pi\)
0.990715 0.135956i \(-0.0434105\pi\)
\(632\) 1.45943e10 3.33105e9i 0.0914774 0.0208791i
\(633\) 3.20919e10 + 1.54546e10i 0.199885 + 0.0962596i
\(634\) 1.87449e11 + 1.49485e11i 1.16018 + 0.925213i
\(635\) −7.65936e10 1.74820e10i −0.471083 0.107522i
\(636\) 1.97297e10 + 1.57339e10i 0.120585 + 0.0961630i
\(637\) 8.55145e10 + 3.74664e11i 0.519376 + 2.27554i
\(638\) −3.10131e11 −1.87181
\(639\) 1.34611e11i 0.807378i
\(640\) −2.64271e10 1.15785e11i −0.157518 0.690131i
\(641\) −2.71642e10 + 2.16628e10i −0.160904 + 0.128316i −0.700632 0.713523i \(-0.747098\pi\)
0.539728 + 0.841839i \(0.318527\pi\)
\(642\) −1.90526e10 + 9.17526e9i −0.112154 + 0.0540105i
\(643\) 2.47271e11 + 1.19079e11i 1.44653 + 0.696614i 0.981990 0.188935i \(-0.0605037\pi\)
0.464545 + 0.885550i \(0.346218\pi\)
\(644\) 1.64492e11i 0.956314i
\(645\) −2.24053e10 + 2.09531e10i −0.129453 + 0.121063i
\(646\) −1.96983e11 −1.13109
\(647\) −6.60631e10 + 1.37182e11i −0.377001 + 0.782850i 0.622999 + 0.782222i \(0.285914\pi\)
−1.00000 0.000627319i \(0.999800\pi\)
\(648\) 2.09474e10 + 4.34978e10i 0.118804 + 0.246699i
\(649\) 3.91790e10 + 4.91289e10i 0.220838 + 0.276923i
\(650\) 1.08872e11 2.48493e10i 0.609906 0.139207i
\(651\) −6.03040e10 −0.335755
\(652\) 5.51058e10i 0.304935i
\(653\) −3.53039e10 + 8.05790e9i −0.194165 + 0.0443169i −0.318497 0.947924i \(-0.603178\pi\)
0.124333 + 0.992241i \(0.460321\pi\)
\(654\) 2.56573e10 3.21733e10i 0.140249 0.175867i
\(655\) 5.02524e10 2.20170e11i 0.273018 1.19617i
\(656\) −9.90949e10 + 1.24261e11i −0.535101 + 0.670996i
\(657\) 7.29035e10 1.51386e11i 0.391280 0.812500i
\(658\) 7.52560e10 + 3.29718e11i 0.401456 + 1.75889i
\(659\) −1.82354e11 8.78171e10i −0.966883 0.465626i −0.117309 0.993095i \(-0.537427\pi\)
−0.849574 + 0.527469i \(0.823141\pi\)
\(660\) −2.63960e10 3.30995e10i −0.139111 0.174440i
\(661\) 1.39581e10 6.11543e10i 0.0731172 0.320348i −0.925122 0.379671i \(-0.876037\pi\)
0.998239 + 0.0593234i \(0.0188943\pi\)
\(662\) 8.40596e10 3.68289e11i 0.437679 1.91760i
\(663\) 1.05837e10 + 2.19774e10i 0.0547753 + 0.113742i
\(664\) 5.08334e10 4.05383e10i 0.261503 0.208542i
\(665\) −3.00494e11 2.39636e11i −1.53656 1.22536i
\(666\) −2.93427e11 + 1.41307e11i −1.49143 + 0.718235i
\(667\) −4.73823e10 9.83903e10i −0.239394 0.497106i
\(668\) −4.03294e10 + 5.05715e10i −0.202542 + 0.253980i
\(669\) 2.45313e10 + 3.07612e10i 0.122466 + 0.153567i
\(670\) −1.18634e11 + 5.71312e10i −0.588723 + 0.283514i
\(671\) 3.53984e11 + 8.07946e10i 1.74620 + 0.398559i
\(672\) −6.95178e10 1.58670e10i −0.340894 0.0778067i
\(673\) −1.70961e11 + 1.36337e11i −0.833366 + 0.664587i −0.944244 0.329247i \(-0.893205\pi\)
0.110878 + 0.993834i \(0.464634\pi\)
\(674\) 1.75272e11 3.63956e11i 0.849322 1.76364i
\(675\) 3.12692e10 7.13699e9i 0.150626 0.0343795i
\(676\) −3.94139e10 1.89807e10i −0.188740 0.0908922i
\(677\) 2.17249e11 + 1.73250e11i 1.03420 + 0.824745i 0.984740 0.174031i \(-0.0556793\pi\)
0.0494575 + 0.998776i \(0.484251\pi\)
\(678\) −4.54525e10 1.03742e10i −0.215099 0.0490950i
\(679\) −4.78845e11 3.81866e11i −2.25276 1.79652i
\(680\) 1.78675e10 + 7.82826e10i 0.0835657 + 0.366125i
\(681\) −1.45450e10 −0.0676277
\(682\) 5.67644e11i 2.62385i
\(683\) 2.73441e10 + 1.19802e11i 0.125655 + 0.550533i 0.998089 + 0.0617991i \(0.0196838\pi\)
−0.872433 + 0.488733i \(0.837459\pi\)
\(684\) −1.07222e11 + 8.55069e10i −0.489847 + 0.390640i
\(685\) 3.85883e11 1.85832e11i 1.75264 0.844028i
\(686\) 8.88634e11 + 4.27944e11i 4.01261 + 1.93237i
\(687\) 1.66471e10i 0.0747330i
\(688\) −2.59515e11 3.80759e10i −1.15827 0.169940i
\(689\) 2.67047e11 1.18498
\(690\) 1.47430e10 3.06142e10i 0.0650415 0.135060i
\(691\) −9.89815e10 2.05537e11i −0.434152 0.901526i −0.997177 0.0750863i \(-0.976077\pi\)
0.563025 0.826440i \(-0.309638\pi\)
\(692\) 7.80916e10 + 9.79237e10i 0.340549 + 0.427035i
\(693\) −6.85006e11 + 1.56348e11i −2.97004 + 0.677891i
\(694\) −1.13631e11 −0.489846
\(695\) 1.88600e11i 0.808355i
\(696\) −8.27108e9 + 1.88782e9i −0.0352473 + 0.00804496i
\(697\) 1.11734e11 1.40109e11i 0.473426 0.593658i
\(698\) 5.15042e10 2.25655e11i 0.216981 0.950654i
\(699\) −8.68669e9 + 1.08928e10i −0.0363870 + 0.0456278i
\(700\) 8.61286e10 1.78848e11i 0.358720 0.744889i
\(701\) 2.16929e10 + 9.50429e10i 0.0898351 + 0.393593i 0.999776 0.0211437i \(-0.00673076\pi\)
−0.909941 + 0.414737i \(0.863874\pi\)
\(702\) 7.04745e10 + 3.39387e10i 0.290191 + 0.139748i
\(703\) 1.57715e11 + 1.97768e11i 0.645730 + 0.809720i
\(704\) 4.63065e10 2.02882e11i 0.188517 0.825949i
\(705\) −6.82029e9 + 2.98817e10i −0.0276087 + 0.120962i
\(706\) 6.48365e10 + 1.34634e11i 0.260976 + 0.541922i
\(707\) −1.20852e10 + 9.63765e9i −0.0483701 + 0.0385739i
\(708\) −4.81130e9 3.83688e9i −0.0191483 0.0152702i
\(709\) 1.78044e11 8.57413e10i 0.704598 0.339317i −0.0470392 0.998893i \(-0.514979\pi\)
0.751638 + 0.659576i \(0.229264\pi\)
\(710\) 1.50889e11 + 3.13325e11i 0.593779 + 1.23300i
\(711\) −5.02568e10 + 6.30200e10i −0.196660 + 0.246604i
\(712\) −6.54376e9 8.20561e9i −0.0254629 0.0319294i
\(713\) 1.80088e11 8.67256e10i 0.696828 0.335575i
\(714\) 9.63554e10 + 2.19925e10i 0.370752 + 0.0846217i
\(715\) −4.36779e11 9.96919e10i −1.67123 0.381448i
\(716\) −2.42217e11 + 1.93162e11i −0.921622 + 0.734969i
\(717\) −4.56796e9 + 9.48548e9i −0.0172841 + 0.0358907i
\(718\) 3.96651e11 9.05329e10i 1.49249 0.340650i
\(719\) 1.56496e11 + 7.53643e10i 0.585581 + 0.282001i 0.703124 0.711067i \(-0.251788\pi\)
−0.117544 + 0.993068i \(0.537502\pi\)
\(720\) 2.99799e11 + 2.39081e11i 1.11558 + 0.889643i
\(721\) −7.69806e10 1.75703e10i −0.284866 0.0650188i
\(722\) −9.37574e10 7.47690e10i −0.345030 0.275152i
\(723\) −1.23936e9 5.43000e9i −0.00453571 0.0198722i
\(724\) −1.11502e11 −0.405816
\(725\) 1.31787e11i 0.477002i
\(726\) 1.87334e10 + 8.20764e10i 0.0674326 + 0.295442i
\(727\) 2.90282e11 2.31493e11i 1.03916 0.828704i 0.0536924 0.998558i \(-0.482901\pi\)
0.985469 + 0.169854i \(0.0543295\pi\)
\(728\) −1.21838e11 + 5.86740e10i −0.433767 + 0.208891i
\(729\) −2.23995e11 1.07870e11i −0.793100 0.381937i
\(730\) 4.34090e11i 1.52858i
\(731\) 2.92614e11 + 4.29322e10i 1.02477 + 0.150353i
\(732\) −3.55579e10 −0.123849
\(733\) −5.96268e10 + 1.23816e11i −0.206550 + 0.428906i −0.978349 0.206961i \(-0.933643\pi\)
0.771799 + 0.635866i \(0.219357\pi\)
\(734\) −1.27079e9 2.63883e9i −0.00437815 0.00909132i
\(735\) 8.79829e10 + 1.10327e11i 0.301473 + 0.378036i
\(736\) 2.30422e11 5.25922e10i 0.785258 0.179230i
\(737\) 1.86962e11 0.633699
\(738\) 2.84384e11i 0.958693i
\(739\) −4.46372e11 + 1.01881e11i −1.49664 + 0.341599i −0.890951 0.454099i \(-0.849961\pi\)
−0.605693 + 0.795698i \(0.707104\pi\)
\(740\) −2.30153e11 + 2.88603e11i −0.767520 + 0.962440i
\(741\) 6.69022e9 2.93118e10i 0.0221905 0.0972231i
\(742\) 6.74614e11 8.45939e11i 2.22556 2.79077i
\(743\) 1.38965e11 2.88565e11i 0.455986 0.946864i −0.538562 0.842586i \(-0.681032\pi\)
0.994548 0.104279i \(-0.0332534\pi\)
\(744\) −3.45535e9 1.51389e10i −0.0112772 0.0494085i
\(745\) 4.57250e11 + 2.20200e11i 1.48432 + 0.714813i
\(746\) −1.84157e10 2.30926e10i −0.0594612 0.0745619i
\(747\) −7.79045e10 + 3.41322e11i −0.250196 + 1.09618i
\(748\) −9.08232e10 + 3.97922e11i −0.290128 + 1.27114i
\(749\) 1.72596e11 + 3.58399e11i 0.548407 + 1.13878i
\(750\) −2.64645e10 + 2.11047e10i −0.0836409 + 0.0667014i
\(751\) −4.03213e9 3.21551e9i −0.0126758 0.0101086i 0.617131 0.786860i \(-0.288295\pi\)
−0.629807 + 0.776751i \(0.716866\pi\)
\(752\) −2.36117e11 + 1.13708e11i −0.738339 + 0.355566i
\(753\) −3.78033e10 7.84994e10i −0.117584 0.244167i
\(754\) 2.00392e11 2.51283e11i 0.620004 0.777460i
\(755\) −4.05597e9 5.08602e9i −0.0124826 0.0156527i
\(756\) 1.25274e