Properties

Label 43.9.f.a.2.20
Level 43
Weight 9
Character 43.2
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 2.20
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.20

$q$-expansion

\(f(q)\) \(=\) \(q+(4.47023 + 9.28252i) q^{2} +(45.7755 - 95.0539i) q^{3} +(93.4311 - 117.159i) q^{4} +(498.592 + 113.800i) q^{5} +1086.97 q^{6} +1744.42i q^{7} +(4076.58 + 930.453i) q^{8} +(-2849.12 - 3572.69i) q^{9} +O(q^{10})\) \(q+(4.47023 + 9.28252i) q^{2} +(45.7755 - 95.0539i) q^{3} +(93.4311 - 117.159i) q^{4} +(498.592 + 113.800i) q^{5} +1086.97 q^{6} +1744.42i q^{7} +(4076.58 + 930.453i) q^{8} +(-2849.12 - 3572.69i) q^{9} +(1172.46 + 5136.90i) q^{10} +(10887.9 + 13653.0i) q^{11} +(-6859.55 - 14244.0i) q^{12} +(6288.43 - 27551.4i) q^{13} +(-16192.6 + 7797.94i) q^{14} +(33640.5 - 42183.8i) q^{15} +(1049.93 + 4600.05i) q^{16} +(-18570.6 - 81363.1i) q^{17} +(20427.3 - 42417.8i) q^{18} +(-30312.4 - 24173.3i) q^{19} +(59916.7 - 47782.0i) q^{20} +(165814. + 79851.6i) q^{21} +(-78062.9 + 162099. i) q^{22} +(-28506.6 - 35746.1i) q^{23} +(275051. - 344903. i) q^{24} +(-116298. - 56006.1i) q^{25} +(283857. - 64788.6i) q^{26} +(204825. - 46749.9i) q^{27} +(204374. + 162983. i) q^{28} +(543762. + 1.12913e6i) q^{29} +(541953. + 123697. i) q^{30} +(-1.02751e6 + 494824. i) q^{31} +(798900. - 637101. i) q^{32} +(1.79617e6 - 409964. i) q^{33} +(672240. - 536094. i) q^{34} +(-198515. + 869752. i) q^{35} -684769. q^{36} -3.13557e6i q^{37} +(88886.1 - 389436. i) q^{38} +(-2.33101e6 - 1.85892e6i) q^{39} +(1.92666e6 + 927833. i) q^{40} +(-2.18126e6 + 1.05044e6i) q^{41} +1.89612e6i q^{42} +(-3.40038e6 + 354389. i) q^{43} +2.61684e6 q^{44} +(-1.01398e6 - 2.10554e6i) q^{45} +(204383. - 424406. i) q^{46} +(207835. - 260617. i) q^{47} +(485314. + 110770. i) q^{48} +2.72181e6 q^{49} -1.32990e6i q^{50} +(-8.58396e6 - 1.95923e6i) q^{51} +(-2.64036e6 - 3.31090e6i) q^{52} +(-271064. - 1.18761e6i) q^{53} +(1.34957e6 + 1.69231e6i) q^{54} +(3.87490e6 + 8.04632e6i) q^{55} +(-1.62310e6 + 7.11126e6i) q^{56} +(-3.68533e6 + 1.77476e6i) q^{57} +(-8.05046e6 + 1.00950e7i) q^{58} +(1.33975e6 + 5.86984e6i) q^{59} +(-1.79914e6 - 7.88256e6i) q^{60} +(-9.99937e6 + 2.07639e7i) q^{61} +(-9.18644e6 - 7.32594e6i) q^{62} +(6.23226e6 - 4.97006e6i) q^{63} +(1.05734e7 + 5.09190e6i) q^{64} +(6.27072e6 - 1.30213e7i) q^{65} +(1.18348e7 + 1.48404e7i) q^{66} +(-5.54357e6 + 6.95141e6i) q^{67} +(-1.12675e7 - 5.42613e6i) q^{68} +(-4.70271e6 + 1.07336e6i) q^{69} +(-8.96090e6 + 2.04527e6i) q^{70} +(-3.42485e6 - 2.73122e6i) q^{71} +(-8.29047e6 - 1.72153e7i) q^{72} +(-3.77485e6 - 861585. i) q^{73} +(2.91060e7 - 1.40167e7i) q^{74} +(-1.06472e7 + 8.49085e6i) q^{75} +(-5.66424e6 + 1.29283e6i) q^{76} +(-2.38165e7 + 1.89931e7i) q^{77} +(6.83531e6 - 2.99475e7i) q^{78} -1.28272e7 q^{79} +2.41303e6i q^{80} +(1.16037e7 - 5.08391e7i) q^{81} +(-1.95014e7 - 1.55519e7i) q^{82} +(4.73617e7 + 2.28082e7i) q^{83} +(2.48475e7 - 1.19659e7i) q^{84} -4.26803e7i q^{85} +(-1.84901e7 - 2.99799e7i) q^{86} +1.32219e8 q^{87} +(3.16820e7 + 6.57883e7i) q^{88} +(5.91783e6 - 1.22885e7i) q^{89} +(1.50121e7 - 1.88245e7i) q^{90} +(4.80611e7 + 1.09696e7i) q^{91} -6.85137e6 q^{92} +1.20320e8i q^{93} +(3.34825e6 + 764217. i) q^{94} +(-1.23626e7 - 1.55022e7i) q^{95} +(-2.39889e7 - 1.05102e8i) q^{96} +(2.40915e7 + 3.02098e7i) q^{97} +(1.21671e7 + 2.52653e7i) q^{98} +(1.77569e7 - 7.77982e7i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.47023 + 9.28252i 0.279389 + 0.580158i 0.992689 0.120702i \(-0.0385144\pi\)
−0.713300 + 0.700859i \(0.752800\pi\)
\(3\) 45.7755 95.0539i 0.565130 1.17350i −0.401150 0.916012i \(-0.631389\pi\)
0.966280 0.257492i \(-0.0828962\pi\)
\(4\) 93.4311 117.159i 0.364965 0.457652i
\(5\) 498.592 + 113.800i 0.797747 + 0.182080i 0.601918 0.798558i \(-0.294403\pi\)
0.195828 + 0.980638i \(0.437260\pi\)
\(6\) 1086.97 0.838709
\(7\) 1744.42i 0.726538i 0.931684 + 0.363269i \(0.118339\pi\)
−0.931684 + 0.363269i \(0.881661\pi\)
\(8\) 4076.58 + 930.453i 0.995259 + 0.227161i
\(9\) −2849.12 3572.69i −0.434251 0.544534i
\(10\) 1172.46 + 5136.90i 0.117246 + 0.513690i
\(11\) 10887.9 + 13653.0i 0.743659 + 0.932518i 0.999414 0.0342231i \(-0.0108957\pi\)
−0.255756 + 0.966741i \(0.582324\pi\)
\(12\) −6859.55 14244.0i −0.330804 0.686921i
\(13\) 6288.43 27551.4i 0.220175 0.964651i −0.737171 0.675707i \(-0.763839\pi\)
0.957346 0.288944i \(-0.0933043\pi\)
\(14\) −16192.6 + 7797.94i −0.421506 + 0.202987i
\(15\) 33640.5 42183.8i 0.664503 0.833260i
\(16\) 1049.93 + 4600.05i 0.0160207 + 0.0701913i
\(17\) −18570.6 81363.1i −0.222347 0.974164i −0.955706 0.294323i \(-0.904906\pi\)
0.733360 0.679841i \(-0.237951\pi\)
\(18\) 20427.3 42417.8i 0.194590 0.404071i
\(19\) −30312.4 24173.3i −0.232598 0.185491i 0.500254 0.865879i \(-0.333240\pi\)
−0.732852 + 0.680388i \(0.761811\pi\)
\(20\) 59916.7 47782.0i 0.374479 0.298637i
\(21\) 165814. + 79851.6i 0.852596 + 0.410588i
\(22\) −78062.9 + 162099.i −0.333237 + 0.691975i
\(23\) −28506.6 35746.1i −0.101867 0.127737i 0.728285 0.685275i \(-0.240318\pi\)
−0.830152 + 0.557537i \(0.811746\pi\)
\(24\) 275051. 344903.i 0.829026 1.03957i
\(25\) −116298. 56006.1i −0.297722 0.143376i
\(26\) 283857. 64788.6i 0.621164 0.141777i
\(27\) 204825. 46749.9i 0.385414 0.0879682i
\(28\) 204374. + 162983.i 0.332501 + 0.265161i
\(29\) 543762. + 1.12913e6i 0.768806 + 1.59644i 0.802241 + 0.597001i \(0.203641\pi\)
−0.0334349 + 0.999441i \(0.510645\pi\)
\(30\) 541953. + 123697.i 0.669077 + 0.152713i
\(31\) −1.02751e6 + 494824.i −1.11260 + 0.535802i −0.897600 0.440811i \(-0.854691\pi\)
−0.215004 + 0.976613i \(0.568977\pi\)
\(32\) 798900. 637101.i 0.761890 0.607587i
\(33\) 1.79617e6 409964.i 1.51458 0.345693i
\(34\) 672240. 536094.i 0.503047 0.401167i
\(35\) −198515. + 869752.i −0.132288 + 0.579593i
\(36\) −684769. −0.407694
\(37\) 3.13557e6i 1.67305i −0.547927 0.836526i \(-0.684583\pi\)
0.547927 0.836526i \(-0.315417\pi\)
\(38\) 88886.1 389436.i 0.0426285 0.186767i
\(39\) −2.33101e6 1.85892e6i −1.00759 0.803530i
\(40\) 1.92666e6 + 927833.i 0.752603 + 0.362435i
\(41\) −2.18126e6 + 1.05044e6i −0.771918 + 0.371736i −0.778015 0.628245i \(-0.783774\pi\)
0.00609710 + 0.999981i \(0.498059\pi\)
\(42\) 1.89612e6i 0.609354i
\(43\) −3.40038e6 + 354389.i −0.994613 + 0.103659i
\(44\) 2.61684e6 0.698178
\(45\) −1.01398e6 2.10554e6i −0.247274 0.513469i
\(46\) 204383. 424406.i 0.0456472 0.0947873i
\(47\) 207835. 260617.i 0.0425919 0.0534086i −0.760079 0.649830i \(-0.774840\pi\)
0.802671 + 0.596422i \(0.203411\pi\)
\(48\) 485314. + 110770.i 0.0914235 + 0.0208668i
\(49\) 2.72181e6 0.472143
\(50\) 1.32990e6i 0.212783i
\(51\) −8.58396e6 1.95923e6i −1.26884 0.289605i
\(52\) −2.64036e6 3.31090e6i −0.361118 0.452828i
\(53\) −271064. 1.18761e6i −0.0343533 0.150512i 0.954842 0.297113i \(-0.0960238\pi\)
−0.989196 + 0.146601i \(0.953167\pi\)
\(54\) 1.34957e6 + 1.69231e6i 0.158716 + 0.199023i
\(55\) 3.87490e6 + 8.04632e6i 0.423458 + 0.879319i
\(56\) −1.62310e6 + 7.11126e6i −0.165041 + 0.723094i
\(57\) −3.68533e6 + 1.77476e6i −0.349122 + 0.168128i
\(58\) −8.05046e6 + 1.00950e7i −0.711392 + 0.892057i
\(59\) 1.33975e6 + 5.86984e6i 0.110565 + 0.484416i 0.999644 + 0.0266633i \(0.00848821\pi\)
−0.889080 + 0.457752i \(0.848655\pi\)
\(60\) −1.79914e6 7.88256e6i −0.138823 0.608222i
\(61\) −9.99937e6 + 2.07639e7i −0.722193 + 1.49965i 0.138411 + 0.990375i \(0.455800\pi\)
−0.860604 + 0.509274i \(0.829914\pi\)
\(62\) −9.18644e6 7.32594e6i −0.621699 0.495789i
\(63\) 6.23226e6 4.97006e6i 0.395625 0.315500i
\(64\) 1.05734e7 + 5.09190e6i 0.630227 + 0.303501i
\(65\) 6.27072e6 1.30213e7i 0.351288 0.729458i
\(66\) 1.18348e7 + 1.48404e7i 0.623713 + 0.782112i
\(67\) −5.54357e6 + 6.95141e6i −0.275100 + 0.344964i −0.900118 0.435646i \(-0.856520\pi\)
0.625018 + 0.780610i \(0.285091\pi\)
\(68\) −1.12675e7 5.42613e6i −0.526977 0.253779i
\(69\) −4.70271e6 + 1.07336e6i −0.207468 + 0.0473533i
\(70\) −8.96090e6 + 2.04527e6i −0.373215 + 0.0851840i
\(71\) −3.42485e6 2.73122e6i −0.134774 0.107479i 0.553782 0.832661i \(-0.313184\pi\)
−0.688557 + 0.725182i \(0.741755\pi\)
\(72\) −8.29047e6 1.72153e7i −0.308496 0.640598i
\(73\) −3.77485e6 861585.i −0.132926 0.0303394i 0.155540 0.987830i \(-0.450288\pi\)
−0.288466 + 0.957490i \(0.593145\pi\)
\(74\) 2.91060e7 1.40167e7i 0.970634 0.467433i
\(75\) −1.06472e7 + 8.49085e6i −0.336504 + 0.268353i
\(76\) −5.66424e6 + 1.29283e6i −0.169780 + 0.0387512i
\(77\) −2.38165e7 + 1.89931e7i −0.677510 + 0.540296i
\(78\) 6.83531e6 2.99475e7i 0.184663 0.809062i
\(79\) −1.28272e7 −0.329324 −0.164662 0.986350i \(-0.552653\pi\)
−0.164662 + 0.986350i \(0.552653\pi\)
\(80\) 2.41303e6i 0.0589119i
\(81\) 1.16037e7 5.08391e7i 0.269560 1.18102i
\(82\) −1.95014e7 1.55519e7i −0.431331 0.343975i
\(83\) 4.73617e7 + 2.28082e7i 0.997964 + 0.480594i 0.860247 0.509878i \(-0.170309\pi\)
0.137717 + 0.990472i \(0.456024\pi\)
\(84\) 2.48475e7 1.19659e7i 0.499074 0.240341i
\(85\) 4.26803e7i 0.817621i
\(86\) −1.84901e7 2.99799e7i −0.338023 0.548071i
\(87\) 1.32219e8 2.30791
\(88\) 3.16820e7 + 6.57883e7i 0.528301 + 1.09703i
\(89\) 5.91783e6 1.22885e7i 0.0943197 0.195857i −0.848471 0.529242i \(-0.822477\pi\)
0.942791 + 0.333385i \(0.108191\pi\)
\(90\) 1.50121e7 1.88245e7i 0.228807 0.286915i
\(91\) 4.80611e7 + 1.09696e7i 0.700856 + 0.159966i
\(92\) −6.85137e6 −0.0956371
\(93\) 1.20320e8i 1.60844i
\(94\) 3.34825e6 + 764217.i 0.0428851 + 0.00978825i
\(95\) −1.23626e7 1.55022e7i −0.151780 0.190326i
\(96\) −2.39889e7 1.05102e8i −0.282439 1.23745i
\(97\) 2.40915e7 + 3.02098e7i 0.272130 + 0.341241i 0.899052 0.437842i \(-0.144257\pi\)
−0.626922 + 0.779082i \(0.715685\pi\)
\(98\) 1.21671e7 + 2.52653e7i 0.131912 + 0.273917i
\(99\) 1.77569e7 7.77982e7i 0.184853 0.809895i
\(100\) −1.74274e7 + 8.39261e6i −0.174274 + 0.0839261i
\(101\) −1.02189e8 + 1.28141e8i −0.982017 + 1.23141i −0.00917121 + 0.999958i \(0.502919\pi\)
−0.972846 + 0.231453i \(0.925652\pi\)
\(102\) −2.01856e7 8.84390e7i −0.186484 0.817040i
\(103\) 1.71960e7 + 7.53407e7i 0.152784 + 0.669392i 0.992068 + 0.125699i \(0.0401174\pi\)
−0.839284 + 0.543693i \(0.817026\pi\)
\(104\) 5.12706e7 1.06464e8i 0.438263 0.910063i
\(105\) 7.35862e7 + 5.86830e7i 0.605395 + 0.482787i
\(106\) 9.81230e6 7.82505e6i 0.0777226 0.0619817i
\(107\) 9.14622e7 + 4.40459e7i 0.697761 + 0.336024i 0.748914 0.662667i \(-0.230576\pi\)
−0.0511536 + 0.998691i \(0.516290\pi\)
\(108\) 1.36598e7 2.83649e7i 0.100404 0.208491i
\(109\) −2.72115e7 3.41221e7i −0.192773 0.241730i 0.676046 0.736859i \(-0.263692\pi\)
−0.868819 + 0.495130i \(0.835121\pi\)
\(110\) −5.73685e7 + 7.19378e7i −0.391834 + 0.491345i
\(111\) −2.98048e8 1.43532e8i −1.96334 0.945492i
\(112\) −8.02441e6 + 1.83152e6i −0.0509966 + 0.0116396i
\(113\) −1.50521e8 + 3.43555e7i −0.923174 + 0.210709i −0.657587 0.753378i \(-0.728423\pi\)
−0.265587 + 0.964087i \(0.585566\pi\)
\(114\) −3.29486e7 2.62756e7i −0.195082 0.155573i
\(115\) −1.01452e7 2.10668e7i −0.0580056 0.120450i
\(116\) 1.83092e8 + 4.17896e7i 1.01120 + 0.230800i
\(117\) −1.16349e8 + 5.60308e7i −0.620897 + 0.299008i
\(118\) −4.84979e7 + 3.86758e7i −0.250147 + 0.199485i
\(119\) 1.41931e8 3.23949e7i 0.707767 0.161543i
\(120\) 1.76388e8 1.40665e8i 0.850638 0.678361i
\(121\) −2.01586e7 + 8.83207e7i −0.0940415 + 0.412023i
\(122\) −2.37441e8 −1.07181
\(123\) 2.55421e8i 1.11593i
\(124\) −3.80286e7 + 1.66614e8i −0.160851 + 0.704735i
\(125\) −2.07799e8 1.65714e8i −0.851144 0.678765i
\(126\) 7.39943e7 + 3.56338e7i 0.293573 + 0.141377i
\(127\) −3.77691e8 + 1.81886e8i −1.45185 + 0.699174i −0.982915 0.184058i \(-0.941076\pi\)
−0.468935 + 0.883233i \(0.655362\pi\)
\(128\) 1.40679e8i 0.524068i
\(129\) −1.21968e8 + 3.39442e8i −0.440441 + 1.22576i
\(130\) 1.48902e8 0.521347
\(131\) 6.57803e7 + 1.36594e8i 0.223363 + 0.463817i 0.982292 0.187355i \(-0.0599916\pi\)
−0.758930 + 0.651173i \(0.774277\pi\)
\(132\) 1.19787e8 2.48741e8i 0.394562 0.819316i
\(133\) 4.21684e7 5.28774e7i 0.134766 0.168991i
\(134\) −8.93077e7 2.03839e7i −0.276993 0.0632219i
\(135\) 1.07444e8 0.323480
\(136\) 3.48963e8i 1.02005i
\(137\) 5.33431e7 + 1.21752e7i 0.151425 + 0.0345617i 0.297561 0.954703i \(-0.403827\pi\)
−0.146137 + 0.989264i \(0.546684\pi\)
\(138\) −3.09857e7 3.88548e7i −0.0854368 0.107134i
\(139\) 3.32920e7 + 1.45862e8i 0.0891828 + 0.390735i 0.999744 0.0226396i \(-0.00720702\pi\)
−0.910561 + 0.413375i \(0.864350\pi\)
\(140\) 8.33517e7 + 1.04520e8i 0.216971 + 0.272073i
\(141\) −1.52589e7 3.16854e7i −0.0386053 0.0801646i
\(142\) 1.00428e7 4.40004e7i 0.0247003 0.108219i
\(143\) 4.44627e8 2.14121e8i 1.06329 0.512054i
\(144\) 1.34432e7 1.68572e7i 0.0312645 0.0392045i
\(145\) 1.42619e8 + 6.24857e8i 0.322631 + 1.41354i
\(146\) −8.87676e6 3.88916e7i −0.0195363 0.0855943i
\(147\) 1.24592e8 2.58719e8i 0.266822 0.554062i
\(148\) −3.67360e8 2.92960e8i −0.765676 0.610606i
\(149\) −3.54253e8 + 2.82507e8i −0.718734 + 0.573171i −0.913089 0.407760i \(-0.866310\pi\)
0.194355 + 0.980931i \(0.437739\pi\)
\(150\) −1.26412e8 6.08767e7i −0.249702 0.120250i
\(151\) 3.46101e8 7.18685e8i 0.665724 1.38239i −0.245060 0.969508i \(-0.578808\pi\)
0.910784 0.412883i \(-0.135478\pi\)
\(152\) −1.01079e8 1.26749e8i −0.189359 0.237449i
\(153\) −2.37775e8 + 2.98161e8i −0.433911 + 0.544107i
\(154\) −2.82769e8 1.36174e8i −0.502746 0.242110i
\(155\) −5.68621e8 + 1.29784e8i −0.985136 + 0.224851i
\(156\) −4.35578e8 + 9.94178e7i −0.735474 + 0.167867i
\(157\) 3.93482e7 + 3.13792e7i 0.0647629 + 0.0516467i 0.655336 0.755337i \(-0.272527\pi\)
−0.590573 + 0.806984i \(0.701098\pi\)
\(158\) −5.73404e7 1.19069e8i −0.0920095 0.191060i
\(159\) −1.25295e8 2.85978e7i −0.196040 0.0447449i
\(160\) 4.70827e8 2.26738e8i 0.718425 0.345975i
\(161\) 6.23561e7 4.97274e7i 0.0928059 0.0740102i
\(162\) 5.23786e8 1.19551e8i 0.760491 0.173577i
\(163\) −2.03066e8 + 1.61940e8i −0.287665 + 0.229405i −0.756681 0.653785i \(-0.773180\pi\)
0.469015 + 0.883190i \(0.344609\pi\)
\(164\) −8.07291e7 + 3.53697e8i −0.111598 + 0.488941i
\(165\) 9.42210e8 1.27119
\(166\) 5.41594e8i 0.713249i
\(167\) 3.30362e8 1.44741e9i 0.424741 1.86091i −0.0787265 0.996896i \(-0.525085\pi\)
0.503467 0.864014i \(-0.332057\pi\)
\(168\) 6.01655e8 + 4.79804e8i 0.755284 + 0.602319i
\(169\) 1.54126e7 + 7.42230e6i 0.0188942 + 0.00909896i
\(170\) 3.96181e8 1.90791e8i 0.474349 0.228434i
\(171\) 1.77169e8i 0.207207i
\(172\) −2.76182e8 + 4.31496e8i −0.315559 + 0.493018i
\(173\) 2.79469e8 0.311996 0.155998 0.987757i \(-0.450141\pi\)
0.155998 + 0.987757i \(0.450141\pi\)
\(174\) 5.91051e8 + 1.22733e9i 0.644804 + 1.33895i
\(175\) 9.76979e7 2.02872e8i 0.104168 0.216307i
\(176\) −5.13730e7 + 6.44197e7i −0.0535407 + 0.0671379i
\(177\) 6.19279e8 + 1.41346e8i 0.630947 + 0.144010i
\(178\) 1.40522e8 0.139980
\(179\) 1.60353e9i 1.56194i −0.624569 0.780970i \(-0.714725\pi\)
0.624569 0.780970i \(-0.285275\pi\)
\(180\) −3.41420e8 7.79269e7i −0.325236 0.0742331i
\(181\) 6.47914e8 + 8.12458e8i 0.603674 + 0.756984i 0.985946 0.167066i \(-0.0534294\pi\)
−0.382271 + 0.924050i \(0.624858\pi\)
\(182\) 1.13018e8 + 4.95165e8i 0.103006 + 0.451299i
\(183\) 1.51596e9 + 1.90096e9i 1.35171 + 1.69499i
\(184\) −8.29493e7 1.72246e8i −0.0723671 0.150272i
\(185\) 3.56829e8 1.56337e9i 0.304630 1.33467i
\(186\) −1.11687e9 + 5.37858e8i −0.933151 + 0.449382i
\(187\) 9.08656e8 1.13942e9i 0.743076 0.931787i
\(188\) −1.11153e7 4.86994e7i −0.00889797 0.0389846i
\(189\) 8.15514e7 + 3.57300e8i 0.0639122 + 0.280018i
\(190\) 8.86358e7 1.84054e8i 0.0680134 0.141231i
\(191\) −5.40867e8 4.31327e8i −0.406403 0.324095i 0.398862 0.917011i \(-0.369405\pi\)
−0.805265 + 0.592916i \(0.797977\pi\)
\(192\) 9.68011e8 7.71963e8i 0.712320 0.568056i
\(193\) −1.27434e9 6.13690e8i −0.918451 0.442303i −0.0859334 0.996301i \(-0.527387\pi\)
−0.832518 + 0.553998i \(0.813102\pi\)
\(194\) −1.72729e8 + 3.58674e8i −0.121943 + 0.253217i
\(195\) −9.50677e8 1.19211e9i −0.657498 0.824477i
\(196\) 2.54302e8 3.18884e8i 0.172316 0.216077i
\(197\) −2.10108e9 1.01183e9i −1.39501 0.671802i −0.422869 0.906191i \(-0.638977\pi\)
−0.972143 + 0.234389i \(0.924691\pi\)
\(198\) 8.01541e8 1.82946e8i 0.521513 0.119032i
\(199\) 6.38828e7 1.45808e7i 0.0407354 0.00929759i −0.202105 0.979364i \(-0.564778\pi\)
0.242840 + 0.970066i \(0.421921\pi\)
\(200\) −4.21986e8 3.36523e8i −0.263742 0.210327i
\(201\) 4.06999e8 + 8.45142e8i 0.249350 + 0.517780i
\(202\) −1.64628e9 3.75753e8i −0.988777 0.225682i
\(203\) −1.96968e9 + 9.48547e8i −1.15988 + 0.558566i
\(204\) −1.03155e9 + 8.22634e8i −0.595621 + 0.474992i
\(205\) −1.20710e9 + 2.75512e8i −0.683481 + 0.156000i
\(206\) −6.22481e8 + 4.96412e8i −0.345667 + 0.275660i
\(207\) −4.64909e7 + 2.03690e8i −0.0253214 + 0.110940i
\(208\) 1.33340e8 0.0712374
\(209\) 6.77052e8i 0.354843i
\(210\) −2.15779e8 + 9.45392e8i −0.110951 + 0.486110i
\(211\) 1.84842e9 + 1.47407e9i 0.932548 + 0.743682i 0.966748 0.255733i \(-0.0823166\pi\)
−0.0341992 + 0.999415i \(0.510888\pi\)
\(212\) −1.64465e8 7.92021e7i −0.0814198 0.0392097i
\(213\) −4.16387e8 + 2.00522e8i −0.202292 + 0.0974188i
\(214\) 1.04589e9i 0.498693i
\(215\) −1.73573e9 2.10269e8i −0.812323 0.0984060i
\(216\) 8.78484e8 0.403570
\(217\) −8.63180e8 1.79241e9i −0.389280 0.808349i
\(218\) 1.95098e8 4.05125e8i 0.0863827 0.179375i
\(219\) −2.54693e8 + 3.19375e8i −0.110724 + 0.138843i
\(220\) 1.30473e9 + 2.97797e8i 0.556970 + 0.127125i
\(221\) −2.35845e9 −0.988683
\(222\) 3.40826e9i 1.40320i
\(223\) 3.33183e9 + 7.60469e8i 1.34730 + 0.307512i 0.834505 0.551000i \(-0.185754\pi\)
0.512793 + 0.858512i \(0.328611\pi\)
\(224\) 1.11137e9 + 1.39361e9i 0.441435 + 0.553542i
\(225\) 1.31255e8 + 5.75064e8i 0.0512135 + 0.224381i
\(226\) −9.91769e8 1.24364e9i −0.380169 0.476717i
\(227\) −8.29421e8 1.72231e9i −0.312372 0.648646i 0.684385 0.729121i \(-0.260071\pi\)
−0.996757 + 0.0804745i \(0.974356\pi\)
\(228\) −1.36395e8 + 5.97588e8i −0.0504732 + 0.221137i
\(229\) 6.92971e8 3.33717e8i 0.251984 0.121349i −0.303628 0.952791i \(-0.598198\pi\)
0.555612 + 0.831441i \(0.312484\pi\)
\(230\) 1.50201e8 1.88346e8i 0.0536738 0.0673048i
\(231\) 7.15149e8 + 3.13327e9i 0.251159 + 1.10040i
\(232\) 1.16608e9 + 5.10895e9i 0.402511 + 1.76352i
\(233\) −1.05470e9 + 2.19010e9i −0.357852 + 0.743088i −0.999718 0.0237287i \(-0.992446\pi\)
0.641866 + 0.766817i \(0.278161\pi\)
\(234\) −1.04021e9 8.29543e8i −0.346944 0.276678i
\(235\) 1.33283e8 1.06290e8i 0.0437022 0.0348514i
\(236\) 8.12878e8 + 3.91462e8i 0.262046 + 0.126195i
\(237\) −5.87171e8 + 1.21927e9i −0.186111 + 0.386463i
\(238\) 9.35171e8 + 1.17267e9i 0.291463 + 0.365483i
\(239\) −3.14061e9 + 3.93820e9i −0.962547 + 1.20700i 0.0157681 + 0.999876i \(0.494981\pi\)
−0.978315 + 0.207120i \(0.933591\pi\)
\(240\) 2.29368e8 + 1.10458e8i 0.0691334 + 0.0332929i
\(241\) 5.04569e9 1.15165e9i 1.49573 0.341390i 0.605110 0.796142i \(-0.293129\pi\)
0.890618 + 0.454752i \(0.150272\pi\)
\(242\) −9.09953e8 + 2.07691e8i −0.265312 + 0.0605558i
\(243\) −3.22360e9 2.57074e9i −0.924519 0.737280i
\(244\) 1.49842e9 + 3.11151e9i 0.422742 + 0.877833i
\(245\) 1.35707e9 + 3.09743e8i 0.376650 + 0.0859680i
\(246\) −2.37095e9 + 1.14179e9i −0.647415 + 0.311779i
\(247\) −8.56626e8 + 6.83136e8i −0.230146 + 0.183535i
\(248\) −4.64915e9 + 1.06114e9i −1.22904 + 0.280521i
\(249\) 4.33601e9 3.45786e9i 1.12796 0.899517i
\(250\) 6.09337e8 2.66968e9i 0.155990 0.683438i
\(251\) −1.45337e9 −0.366168 −0.183084 0.983097i \(-0.558608\pi\)
−0.183084 + 0.983097i \(0.558608\pi\)
\(252\) 1.19452e9i 0.296205i
\(253\) 1.77665e8 7.78400e8i 0.0433630 0.189986i
\(254\) −3.37673e9 2.69285e9i −0.811263 0.646960i
\(255\) −4.05693e9 1.95371e9i −0.959482 0.462062i
\(256\) 4.01265e9 1.93239e9i 0.934269 0.449920i
\(257\) 3.87974e9i 0.889344i −0.895694 0.444672i \(-0.853320\pi\)
0.895694 0.444672i \(-0.146680\pi\)
\(258\) −3.69610e9 + 3.85210e8i −0.834191 + 0.0869397i
\(259\) 5.46974e9 1.21554
\(260\) −9.39678e8 1.95126e9i −0.205630 0.426994i
\(261\) 2.48480e9 5.15973e9i 0.535462 1.11190i
\(262\) −9.73886e8 + 1.22121e9i −0.206682 + 0.259171i
\(263\) 8.65614e9 + 1.97571e9i 1.80926 + 0.412952i 0.987596 0.157019i \(-0.0501884\pi\)
0.821665 + 0.569971i \(0.193046\pi\)
\(264\) 7.70369e9 1.58593
\(265\) 6.22980e8i 0.126325i
\(266\) 6.79338e8 + 1.55054e8i 0.135694 + 0.0309712i
\(267\) −8.97177e8 1.12502e9i −0.176536 0.221369i
\(268\) 2.96478e8 + 1.29896e9i 0.0574717 + 0.251800i
\(269\) −2.74702e9 3.44465e9i −0.524629 0.657864i 0.446955 0.894556i \(-0.352508\pi\)
−0.971585 + 0.236692i \(0.923937\pi\)
\(270\) 4.80299e8 + 9.97352e8i 0.0903768 + 0.187669i
\(271\) 6.73491e8 2.95076e9i 0.124869 0.547087i −0.873332 0.487126i \(-0.838045\pi\)
0.998201 0.0599610i \(-0.0190976\pi\)
\(272\) 3.54777e8 1.70852e8i 0.0648156 0.0312136i
\(273\) 3.24273e9 4.06626e9i 0.583795 0.732056i
\(274\) 1.25439e8 + 5.49585e8i 0.0222552 + 0.0975062i
\(275\) −5.01588e8 2.19760e9i −0.0877035 0.384254i
\(276\) −3.13625e8 + 6.51250e8i −0.0540474 + 0.112231i
\(277\) −5.84083e9 4.65790e9i −0.992100 0.791173i −0.0141256 0.999900i \(-0.504496\pi\)
−0.977974 + 0.208727i \(0.933068\pi\)
\(278\) −1.20514e9 + 9.61070e8i −0.201771 + 0.160907i
\(279\) 4.69537e9 + 2.26117e9i 0.774913 + 0.373178i
\(280\) −1.61853e9 + 3.36091e9i −0.263322 + 0.546795i
\(281\) −9.10646e8 1.14191e9i −0.146058 0.183151i 0.703421 0.710773i \(-0.251655\pi\)
−0.849479 + 0.527623i \(0.823083\pi\)
\(282\) 2.25910e8 2.83282e8i 0.0357222 0.0447943i
\(283\) 1.06199e10 + 5.11425e9i 1.65567 + 0.797327i 0.999071 + 0.0430839i \(0.0137183\pi\)
0.656595 + 0.754243i \(0.271996\pi\)
\(284\) −6.39974e8 + 1.46070e8i −0.0983760 + 0.0224537i
\(285\) −2.03945e9 + 4.65490e8i −0.309124 + 0.0705555i
\(286\) 3.97517e9 + 3.17009e9i 0.594144 + 0.473814i
\(287\) −1.83240e9 3.80502e9i −0.270080 0.560828i
\(288\) −4.55233e9 1.03904e9i −0.661704 0.151030i
\(289\) 9.84917e6 4.74311e6i 0.00141191 0.000679942i
\(290\) −5.16270e9 + 4.11712e9i −0.729937 + 0.582105i
\(291\) 3.97436e9 9.07121e8i 0.554236 0.126501i
\(292\) −4.53631e8 + 3.61759e8i −0.0623981 + 0.0497608i
\(293\) −3.17226e9 + 1.38986e10i −0.430426 + 1.88582i 0.0325891 + 0.999469i \(0.489625\pi\)
−0.463015 + 0.886350i \(0.653232\pi\)
\(294\) 2.95852e9 0.395990
\(295\) 3.07912e9i 0.406573i
\(296\) 2.91750e9 1.27824e10i 0.380053 1.66512i
\(297\) 2.86839e9 + 2.28746e9i 0.368648 + 0.293987i
\(298\) −4.20597e9 2.02549e9i −0.533336 0.256841i
\(299\) −1.16412e9 + 5.60609e8i −0.145650 + 0.0701416i
\(300\) 2.04072e9i 0.251941i
\(301\) −6.18203e8 5.93169e9i −0.0753122 0.722624i
\(302\) 8.21836e9 0.988001
\(303\) 7.50255e9 + 1.55792e10i 0.890099 + 1.84831i
\(304\) 7.93726e7 1.64819e8i 0.00929344 0.0192980i
\(305\) −7.34854e9 + 9.21478e9i −0.849184 + 1.06484i
\(306\) −3.83059e9 8.74307e8i −0.436898 0.0997191i
\(307\) 2.96360e7 0.00333631 0.00166815 0.999999i \(-0.499469\pi\)
0.00166815 + 0.999999i \(0.499469\pi\)
\(308\) 4.56486e9i 0.507253i
\(309\) 7.94858e9 + 1.81421e9i 0.871878 + 0.199000i
\(310\) −3.74659e9 4.69807e9i −0.405685 0.508713i
\(311\) 7.70255e8 + 3.37471e9i 0.0823366 + 0.360740i 0.999266 0.0383095i \(-0.0121973\pi\)
−0.916929 + 0.399050i \(0.869340\pi\)
\(312\) −7.77292e9 9.74694e9i −0.820287 1.02861i
\(313\) −6.78201e9 1.40830e10i −0.706612 1.46730i −0.876284 0.481795i \(-0.839985\pi\)
0.169672 0.985501i \(-0.445729\pi\)
\(314\) −1.15382e8 + 5.05523e8i −0.0118692 + 0.0520022i
\(315\) 3.67295e9 1.76880e9i 0.373055 0.179654i
\(316\) −1.19846e9 + 1.50282e9i −0.120192 + 0.150716i
\(317\) −2.18168e9 9.55857e9i −0.216050 0.946576i −0.960364 0.278747i \(-0.910081\pi\)
0.744315 0.667829i \(-0.232776\pi\)
\(318\) −2.94638e8 1.29089e9i −0.0288124 0.126236i
\(319\) −9.49563e9 + 1.97179e10i −0.916982 + 1.90413i
\(320\) 4.69237e9 + 3.74204e9i 0.447500 + 0.356869i
\(321\) 8.37346e9 6.67761e9i 0.788651 0.628928i
\(322\) 7.40341e8 + 3.56530e8i 0.0688666 + 0.0331644i
\(323\) −1.40390e9 + 2.91522e9i −0.128981 + 0.267832i
\(324\) −4.87211e9 6.10943e9i −0.442117 0.554397i
\(325\) −2.27438e9 + 2.85198e9i −0.203858 + 0.255630i
\(326\) −2.41096e9 1.16106e9i −0.213462 0.102798i
\(327\) −4.48906e9 + 1.02460e9i −0.392613 + 0.0896113i
\(328\) −9.86946e9 + 2.25264e9i −0.852703 + 0.194624i
\(329\) 4.54625e8 + 3.62551e8i 0.0388034 + 0.0309446i
\(330\) 4.21189e9 + 8.74608e9i 0.355158 + 0.737493i
\(331\) −1.92657e10 4.39726e9i −1.60499 0.366328i −0.676135 0.736777i \(-0.736347\pi\)
−0.928853 + 0.370449i \(0.879204\pi\)
\(332\) 7.09724e9 3.41785e9i 0.584167 0.281320i
\(333\) −1.12024e10 + 8.93363e9i −0.911034 + 0.726526i
\(334\) 1.49124e10 3.40366e9i 1.19829 0.273502i
\(335\) −3.55505e9 + 2.83506e9i −0.282271 + 0.225104i
\(336\) −1.93229e8 + 8.46590e8i −0.0151605 + 0.0664227i
\(337\) −1.20558e10 −0.934710 −0.467355 0.884070i \(-0.654793\pi\)
−0.467355 + 0.884070i \(0.654793\pi\)
\(338\) 1.76247e8i 0.0135038i
\(339\) −3.62457e9 + 1.58803e10i −0.274446 + 1.20243i
\(340\) −5.00038e9 3.98767e9i −0.374186 0.298403i
\(341\) −1.79433e10 8.64104e9i −1.32704 0.639070i
\(342\) −1.64458e9 + 7.91988e8i −0.120213 + 0.0578914i
\(343\) 1.48042e10i 1.06957i
\(344\) −1.41917e10 1.71920e9i −1.01345 0.122770i
\(345\) −2.46688e9 −0.174129
\(346\) 1.24929e9 + 2.59418e9i 0.0871684 + 0.181007i
\(347\) 6.83732e9 1.41978e10i 0.471594 0.979274i −0.520510 0.853855i \(-0.674258\pi\)
0.992104 0.125419i \(-0.0400275\pi\)
\(348\) 1.23534e10 1.54907e10i 0.842306 1.05622i
\(349\) 2.33134e10 + 5.32114e9i 1.57146 + 0.358676i 0.917464 0.397818i \(-0.130232\pi\)
0.654000 + 0.756495i \(0.273090\pi\)
\(350\) 2.31989e9 0.154595
\(351\) 5.93719e9i 0.391158i
\(352\) 1.73967e10 + 3.97068e9i 1.13317 + 0.258639i
\(353\) −1.69400e10 2.12421e10i −1.09098 1.36804i −0.924139 0.382056i \(-0.875216\pi\)
−0.166837 0.985984i \(-0.553355\pi\)
\(354\) 1.45627e9 + 6.38032e9i 0.0927316 + 0.406284i
\(355\) −1.39679e9 1.75151e9i −0.0879460 0.110281i
\(356\) −8.86797e8 1.84145e9i −0.0552108 0.114647i
\(357\) 3.41772e9 1.49740e10i 0.210409 0.921861i
\(358\) 1.48848e10 7.16813e9i 0.906171 0.436389i
\(359\) −1.07206e10 + 1.34432e10i −0.645416 + 0.809327i −0.991669 0.128815i \(-0.958883\pi\)
0.346252 + 0.938141i \(0.387454\pi\)
\(360\) −2.17445e9 9.52688e9i −0.129461 0.567206i
\(361\) −3.44471e9 1.50922e10i −0.202826 0.888639i
\(362\) −4.64534e9 + 9.64614e9i −0.270510 + 0.561719i
\(363\) 7.47246e9 + 5.95908e9i 0.430365 + 0.343205i
\(364\) 5.77560e9 4.60588e9i 0.328997 0.262366i
\(365\) −1.78406e9 8.59158e8i −0.100517 0.0484063i
\(366\) −1.08690e10 + 2.25697e10i −0.605710 + 1.25777i
\(367\) 1.10322e10 + 1.38339e10i 0.608132 + 0.762573i 0.986621 0.163033i \(-0.0521276\pi\)
−0.378489 + 0.925606i \(0.623556\pi\)
\(368\) 1.34504e8 1.68663e8i 0.00733405 0.00919661i
\(369\) 9.96756e9 + 4.80012e9i 0.537630 + 0.258909i
\(370\) 1.61071e10 3.67634e9i 0.859431 0.196159i
\(371\) 2.07169e9 4.72849e8i 0.109352 0.0249590i
\(372\) 1.40966e10 + 1.12416e10i 0.736108 + 0.587026i
\(373\) −6.19920e9 1.28728e10i −0.320258 0.665024i 0.677236 0.735766i \(-0.263178\pi\)
−0.997495 + 0.0707422i \(0.977463\pi\)
\(374\) 1.46386e10 + 3.34116e9i 0.748191 + 0.170770i
\(375\) −2.52639e10 + 1.21664e10i −1.27754 + 0.615231i
\(376\) 1.08975e9 8.69046e8i 0.0545224 0.0434802i
\(377\) 3.45286e10 7.88093e9i 1.70928 0.390132i
\(378\) −2.95209e9 + 2.35421e9i −0.144598 + 0.115313i
\(379\) 4.19756e9 1.83907e10i 0.203442 0.891336i −0.765380 0.643578i \(-0.777449\pi\)
0.968822 0.247758i \(-0.0796937\pi\)
\(380\) −2.97127e9 −0.142497
\(381\) 4.42270e10i 2.09888i
\(382\) 1.58600e9 6.94873e9i 0.0744819 0.326326i
\(383\) 2.41510e9 + 1.92598e9i 0.112238 + 0.0895069i 0.678001 0.735061i \(-0.262847\pi\)
−0.565762 + 0.824568i \(0.691418\pi\)
\(384\) −1.33720e10 6.43963e9i −0.614997 0.296167i
\(385\) −1.40361e10 + 6.75945e9i −0.638859 + 0.307658i
\(386\) 1.45724e10i 0.656421i
\(387\) 1.09542e10 + 1.11388e10i 0.488358 + 0.496587i
\(388\) 5.79024e9 0.255487
\(389\) −1.26404e10 2.62480e10i −0.552028 1.14630i −0.971172 0.238379i \(-0.923384\pi\)
0.419144 0.907920i \(-0.362330\pi\)
\(390\) 6.81606e9 1.41537e10i 0.294629 0.611803i
\(391\) −2.37903e9 + 2.98321e9i −0.101787 + 0.127637i
\(392\) 1.10957e10 + 2.53252e9i 0.469905 + 0.107253i
\(393\) 1.59949e10 0.670521
\(394\) 2.40264e10i 0.997021i
\(395\) −6.39553e9 1.45974e9i −0.262717 0.0599634i
\(396\) −7.45570e9 9.34915e9i −0.303185 0.380182i
\(397\) 6.80530e9 + 2.98160e10i 0.273959 + 1.20029i 0.905295 + 0.424783i \(0.139650\pi\)
−0.631336 + 0.775509i \(0.717493\pi\)
\(398\) 4.20918e8 + 5.27814e8i 0.0167751 + 0.0210353i
\(399\) −3.09593e9 6.42876e9i −0.122152 0.253650i
\(400\) 1.35526e8 5.93779e8i 0.00529399 0.0231945i
\(401\) 4.00666e9 1.92951e9i 0.154955 0.0746223i −0.354799 0.934943i \(-0.615451\pi\)
0.509754 + 0.860320i \(0.329736\pi\)
\(402\) −6.02567e9 + 7.55596e9i −0.230729 + 0.289324i
\(403\) 7.17166e9 + 3.14211e10i 0.271894 + 1.19125i
\(404\) 5.46523e9 + 2.39447e10i 0.205155 + 0.898844i
\(405\) 1.15710e10 2.40274e10i 0.430082 0.893074i
\(406\) −1.76098e10 1.40434e10i −0.648113 0.516853i
\(407\) 4.28099e10 3.41398e10i 1.56015 1.24418i
\(408\) −3.31702e10 1.59739e10i −1.19704 0.576463i
\(409\) −7.71469e9 + 1.60197e10i −0.275693 + 0.572482i −0.992136 0.125163i \(-0.960054\pi\)
0.716443 + 0.697645i \(0.245769\pi\)
\(410\) −7.95344e9 9.97330e9i −0.281462 0.352942i
\(411\) 3.59911e9 4.51314e9i 0.126133 0.158166i
\(412\) 1.04335e10 + 5.02450e9i 0.362110 + 0.174383i
\(413\) −1.02394e10 + 2.33709e9i −0.351946 + 0.0803294i
\(414\) −2.09858e9 + 4.78988e8i −0.0714373 + 0.0163051i
\(415\) 2.10186e10 + 1.67617e10i 0.708616 + 0.565102i
\(416\) −1.25292e10 2.60172e10i −0.418360 0.868734i
\(417\) 1.53887e10 + 3.51237e9i 0.508930 + 0.116160i
\(418\) 6.28475e9 3.02658e9i 0.205865 0.0991394i
\(419\) −5.82296e9 + 4.64366e9i −0.188924 + 0.150662i −0.713384 0.700773i \(-0.752839\pi\)
0.524460 + 0.851435i \(0.324267\pi\)
\(420\) 1.37505e10 3.13846e9i 0.441896 0.100860i
\(421\) −3.67423e10 + 2.93010e10i −1.16960 + 0.932726i −0.998618 0.0525475i \(-0.983266\pi\)
−0.170983 + 0.985274i \(0.554694\pi\)
\(422\) −5.42020e9 + 2.37474e10i −0.170909 + 0.748802i
\(423\) −1.52325e9 −0.0475784
\(424\) 5.09360e9i 0.157602i
\(425\) −2.39711e9 + 1.05024e10i −0.0734737 + 0.321909i
\(426\) −3.72269e9 2.96875e9i −0.113037 0.0901436i
\(427\) −3.62209e10 1.74431e10i −1.08955 0.524700i
\(428\) 1.37058e10 6.60035e9i 0.408440 0.196694i
\(429\) 5.20650e10i 1.53715i
\(430\) −5.80729e9 1.70519e10i −0.169863 0.498769i
\(431\) 5.16650e10 1.49723 0.748614 0.663006i \(-0.230720\pi\)
0.748614 + 0.663006i \(0.230720\pi\)
\(432\) 4.30104e8 + 8.93121e8i 0.0123492 + 0.0256434i
\(433\) −2.62302e10 + 5.44676e10i −0.746192 + 1.54948i 0.0868176 + 0.996224i \(0.472330\pi\)
−0.833009 + 0.553259i \(0.813384\pi\)
\(434\) 1.27795e10 1.60250e10i 0.360209 0.451688i
\(435\) 6.59235e10 + 1.50466e10i 1.84113 + 0.420225i
\(436\) −6.54011e9 −0.180984
\(437\) 1.77265e9i 0.0486068i
\(438\) −4.10314e9 9.36514e8i −0.111486 0.0254459i
\(439\) −2.54162e10 3.18709e10i −0.684309 0.858097i 0.311434 0.950268i \(-0.399191\pi\)
−0.995743 + 0.0921710i \(0.970619\pi\)
\(440\) 8.30964e9 + 3.64069e10i 0.221703 + 0.971344i
\(441\) −7.75477e9 9.72418e9i −0.205029 0.257098i
\(442\) −1.05428e10 2.18923e10i −0.276227 0.573592i
\(443\) 5.49599e9 2.40795e10i 0.142702 0.625219i −0.852099 0.523381i \(-0.824670\pi\)
0.994801 0.101838i \(-0.0324724\pi\)
\(444\) −4.46631e10 + 2.15086e10i −1.14926 + 0.553452i
\(445\) 4.34901e9 5.45349e9i 0.110905 0.139070i
\(446\) 7.83498e9 + 3.43273e10i 0.198015 + 0.867561i
\(447\) 1.06373e10 + 4.66050e10i 0.266441 + 1.16735i
\(448\) −8.88241e9 + 1.84445e10i −0.220505 + 0.457883i
\(449\) 1.85939e10 + 1.48281e10i 0.457493 + 0.364838i 0.824953 0.565201i \(-0.191201\pi\)
−0.367461 + 0.930039i \(0.619773\pi\)
\(450\) −4.75131e9 + 3.78904e9i −0.115868 + 0.0924015i
\(451\) −3.80909e10 1.83436e10i −0.920695 0.443383i
\(452\) −1.00383e10 + 2.08448e10i −0.240495 + 0.499394i
\(453\) −5.24709e10 6.57964e10i −1.24602 1.56246i
\(454\) 1.22797e10 1.53982e10i 0.289044 0.362449i
\(455\) 2.27145e10 + 1.09387e10i 0.529979 + 0.255224i
\(456\) −1.66749e10 + 3.80594e9i −0.385659 + 0.0880242i
\(457\) 5.71053e10 1.30339e10i 1.30922 0.298820i 0.489709 0.871886i \(-0.337103\pi\)
0.819509 + 0.573066i \(0.194246\pi\)
\(458\) 6.19548e9 + 4.94073e9i 0.140803 + 0.112287i
\(459\) −7.60744e9 1.57970e10i −0.171391 0.355897i
\(460\) −3.41604e9 7.79688e8i −0.0762942 0.0174136i
\(461\) 1.45236e10 6.99418e9i 0.321566 0.154858i −0.266136 0.963935i \(-0.585747\pi\)
0.587702 + 0.809078i \(0.300033\pi\)
\(462\) −2.58878e10 + 2.06448e10i −0.568234 + 0.453151i
\(463\) −3.04487e9 + 6.94971e8i −0.0662589 + 0.0151232i −0.255522 0.966803i \(-0.582247\pi\)
0.189263 + 0.981926i \(0.439390\pi\)
\(464\) −4.62316e9 + 3.68685e9i −0.0997394 + 0.0795395i
\(465\) −1.36925e10 + 5.99906e10i −0.292866 + 1.28313i
\(466\) −2.50444e10 −0.531088
\(467\) 2.54196e10i 0.534444i 0.963635 + 0.267222i \(0.0861056\pi\)
−0.963635 + 0.267222i \(0.913894\pi\)
\(468\) −4.30612e9 + 1.88663e10i −0.0897641 + 0.393282i
\(469\) −1.21262e10 9.67029e9i −0.250629 0.199870i
\(470\) 1.58244e9 + 7.62064e8i 0.0324292 + 0.0156171i
\(471\) 4.78390e9 2.30380e9i 0.0972071 0.0468125i
\(472\) 2.51755e10i 0.507235i
\(473\) −4.18615e10 4.25669e10i −0.836316 0.850408i
\(474\) −1.39427e10 −0.276207
\(475\) 2.17141e9 + 4.50898e9i 0.0426548 + 0.0885735i
\(476\) 9.46544e9 1.96552e10i 0.184380 0.382868i
\(477\) −3.47066e9 + 4.35208e9i −0.0670408 + 0.0840665i
\(478\) −5.05956e10 1.15481e10i −0.969173 0.221208i
\(479\) 3.36124e10 0.638494 0.319247 0.947672i \(-0.396570\pi\)
0.319247 + 0.947672i \(0.396570\pi\)
\(480\) 5.51330e10i 1.03860i
\(481\) −8.63893e10 1.97178e10i −1.61391 0.368365i
\(482\) 3.32456e10 + 4.16886e10i 0.615950 + 0.772377i
\(483\) −1.87239e9 8.20349e9i −0.0344040 0.150734i
\(484\) 8.46412e9 + 1.06137e10i 0.154241 + 0.193412i
\(485\) 8.57394e9 + 1.78040e10i 0.154958 + 0.321773i
\(486\) 9.45268e9 4.14149e10i 0.169438 0.742355i
\(487\) −2.58847e10 + 1.24654e10i −0.460179 + 0.221610i −0.649586 0.760288i \(-0.725058\pi\)
0.189407 + 0.981899i \(0.439343\pi\)
\(488\) −6.00831e10 + 7.53418e10i −1.05943 + 1.32849i
\(489\) 6.09755e9 + 2.67151e10i 0.106640 + 0.467220i
\(490\) 3.19122e9 + 1.39817e10i 0.0553571 + 0.242535i
\(491\) −4.82878e9 + 1.00271e10i −0.0830828 + 0.172523i −0.938371 0.345629i \(-0.887666\pi\)
0.855288 + 0.518152i \(0.173380\pi\)
\(492\) 2.99249e10 + 2.38643e10i 0.510707 + 0.407275i
\(493\) 8.17718e10 6.52108e10i 1.38425 1.10391i
\(494\) −1.01705e10 4.89787e9i −0.170780 0.0822432i
\(495\) 1.77069e10 3.67688e10i 0.294932 0.612433i
\(496\) −3.35504e9 4.20709e9i −0.0554333 0.0695112i
\(497\) 4.76439e9 5.97436e9i 0.0780876 0.0979187i
\(498\) 5.14806e10 + 2.47917e10i 0.837001 + 0.403079i
\(499\) 3.00751e10 6.86445e9i 0.485071 0.110714i 0.0270102 0.999635i \(-0.491401\pi\)
0.458061 + 0.888921i \(0.348544\pi\)
\(500\) −3.88298e10 + 8.86264e9i −0.621276 + 0.141802i
\(501\) −1.22459e11 9.76581e10i −1.94375 1.55009i
\(502\) −6.49689e9 1.34909e10i −0.102304 0.212435i
\(503\) 2.10004e10 + 4.79321e9i 0.328062 + 0.0748780i 0.383380 0.923591i \(-0.374760\pi\)
−0.0553179 + 0.998469i \(0.517617\pi\)
\(504\) 3.00307e10 1.44620e10i 0.465419 0.224134i
\(505\) −6.55331e10 + 5.22609e10i −1.00762 + 0.803548i
\(506\) 8.01972e9 1.83045e9i 0.122337 0.0279226i
\(507\) 1.41104e9 1.12526e9i 0.0213554 0.0170303i
\(508\) −1.39785e10 + 6.12437e10i −0.209896 + 0.919616i
\(509\) −5.35598e10 −0.797936 −0.398968 0.916965i \(-0.630632\pi\)
−0.398968 + 0.916965i \(0.630632\pi\)
\(510\) 4.63921e10i 0.685746i
\(511\) 1.50296e9 6.58492e9i 0.0220427 0.0965754i
\(512\) 7.71831e9 + 6.15515e9i 0.112316 + 0.0895692i
\(513\) −7.33883e9 3.53419e9i −0.105964 0.0510294i
\(514\) 3.60137e10 1.73433e10i 0.515960 0.248473i
\(515\) 3.95212e10i 0.561825i
\(516\) 2.83730e10 + 4.60041e10i 0.400227 + 0.648930i
\(517\) 5.82109e9 0.0814784
\(518\) 2.44510e10 + 5.07730e10i 0.339608 + 0.705202i
\(519\) 1.27928e10 2.65646e10i 0.176318 0.366129i
\(520\) 3.76788e10 4.72477e10i 0.515328 0.646200i
\(521\) 1.21545e11 + 2.77419e10i 1.64963 + 0.376518i 0.943451 0.331511i \(-0.107558\pi\)
0.706183 + 0.708029i \(0.250416\pi\)
\(522\) 5.90029e10 0.794678
\(523\) 6.39792e10i 0.855130i −0.903985 0.427565i \(-0.859371\pi\)
0.903985 0.427565i \(-0.140629\pi\)
\(524\) 2.21491e10 + 5.05540e9i 0.293787 + 0.0670549i
\(525\) −1.48116e10 1.85731e10i −0.194968 0.244483i
\(526\) 2.03554e10 + 8.91826e10i 0.265911 + 1.16503i
\(527\) 5.93420e10 + 7.44125e10i 0.769343 + 0.964725i
\(528\) 3.77171e9 + 7.83205e9i 0.0485292 + 0.100772i
\(529\) 1.69607e10 7.43096e10i 0.216581 0.948903i
\(530\) 5.78282e9 2.78486e9i 0.0732886 0.0352939i
\(531\) 1.71540e10 2.15104e10i 0.215768 0.270564i
\(532\) −2.25523e9 9.88079e9i −0.0281542 0.123352i
\(533\) 1.52244e10 + 6.67023e10i 0.188638 + 0.826479i
\(534\) 6.43248e9 1.33572e10i 0.0791068 0.164267i
\(535\) 4.05899e10 + 3.23693e10i 0.495453 + 0.395110i
\(536\) −2.90668e10 + 2.31800e10i −0.352158 + 0.280837i
\(537\) −1.52421e11 7.34023e10i −1.83294 0.882699i
\(538\) 1.96953e10 4.08977e10i 0.235089 0.488168i
\(539\) 2.96348e10 + 3.71609e10i 0.351113 + 0.440282i
\(540\) 1.00386e10 1.25880e10i 0.118059 0.148041i
\(541\) 1.11965e11 + 5.39195e10i 1.30705 + 0.629444i 0.952199 0.305478i \(-0.0988163\pi\)
0.354854 + 0.934922i \(0.384531\pi\)
\(542\) 3.04011e10 6.93886e9i 0.352284 0.0804065i
\(543\) 1.06886e11 2.43960e10i 1.22948 0.280620i
\(544\) −6.66726e10 5.31696e10i −0.761293 0.607111i
\(545\) −9.68431e9 2.01097e10i −0.109770 0.227939i
\(546\) 5.22409e10 + 1.19236e10i 0.587814 + 0.134165i
\(547\) −1.45508e10 + 7.00730e9i −0.162532 + 0.0782711i −0.513381 0.858161i \(-0.671607\pi\)
0.350849 + 0.936432i \(0.385893\pi\)
\(548\) 6.41034e9 5.11208e9i 0.0710819 0.0566859i
\(549\) 1.02672e11 2.34343e10i 1.13022 0.257966i
\(550\) 1.81571e10 1.44798e10i 0.198424 0.158238i
\(551\) 1.08122e10 4.73712e10i 0.117302 0.513935i
\(552\) −2.01697e10 −0.217242
\(553\) 2.23760e10i 0.239266i
\(554\) 1.71273e10 7.50395e10i 0.181823 0.796619i
\(555\) −1.32270e11 1.05482e11i −1.39409 1.11175i
\(556\) 2.01995e10 + 9.72758e9i 0.211369 + 0.101790i
\(557\) −5.77246e10 + 2.77987e10i −0.599708 + 0.288804i −0.709003 0.705205i \(-0.750855\pi\)
0.109295 + 0.994009i \(0.465141\pi\)
\(558\) 5.36928e10i 0.553833i
\(559\) −1.16191e10 + 9.59139e10i −0.118994 + 0.982278i
\(560\) −4.20933e9 −0.0428017
\(561\) −6.67119e10 1.38529e11i −0.673522 1.39858i
\(562\) 6.52905e9 1.35577e10i 0.0654493 0.135907i
\(563\) 5.77171e10 7.23749e10i 0.574475 0.720368i −0.406685 0.913569i \(-0.633315\pi\)
0.981159 + 0.193200i \(0.0618867\pi\)
\(564\) −5.13788e9 1.17269e9i −0.0507771 0.0115895i
\(565\) −7.89583e10 −0.774825
\(566\) 1.21441e11i 1.18331i
\(567\) 8.86846e10 + 2.02417e10i 0.858057 + 0.195846i
\(568\) −1.14204e10 1.43207e10i −0.109720 0.137585i
\(569\) −3.61647e10 1.58448e11i −0.345013 1.51160i −0.788339 0.615241i \(-0.789059\pi\)
0.443326 0.896361i \(-0.353798\pi\)
\(570\) −1.34377e10 1.68503e10i −0.127299 0.159628i
\(571\) −5.69324e10 1.18221e11i −0.535569 1.11212i −0.976686 0.214671i \(-0.931132\pi\)
0.441117 0.897449i \(-0.354582\pi\)
\(572\) 1.64558e10 7.20976e10i 0.153722 0.673499i
\(573\) −6.57577e10 + 3.16673e10i −0.609998 + 0.293760i
\(574\) 2.71289e10 3.40186e10i 0.249911 0.313379i
\(575\) 1.31325e9 + 5.75373e9i 0.0120137 + 0.0526354i
\(576\) −1.19333e10 5.22831e10i −0.108410 0.474976i
\(577\) −3.69040e10 + 7.66320e10i −0.332943 + 0.691364i −0.998487 0.0549952i \(-0.982486\pi\)
0.665543 + 0.746359i \(0.268200\pi\)
\(578\) 8.80560e7 + 7.02223e7i 0.000788947 + 0.000629164i
\(579\) −1.16667e11 + 9.30390e10i −1.03809 + 0.827848i
\(580\) 8.65326e10 + 4.16719e10i 0.764659 + 0.368240i
\(581\) −3.97870e10 + 8.26186e10i −0.349170 + 0.725059i
\(582\) 2.61867e10 + 3.28370e10i 0.228238 + 0.286202i
\(583\) 1.32631e10 1.66314e10i 0.114808 0.143964i
\(584\) −1.45868e10 7.02465e9i −0.125403 0.0603911i
\(585\) −6.43870e10 + 1.46959e10i −0.549762 + 0.125480i
\(586\) −1.43195e11 + 3.26832e10i −1.21433 + 0.277163i
\(587\) 5.03608e10 + 4.01614e10i 0.424171 + 0.338265i 0.812197 0.583384i \(-0.198272\pi\)
−0.388026 + 0.921648i \(0.626843\pi\)
\(588\) −1.86704e10 3.87694e10i −0.156187 0.324325i
\(589\) 4.31079e10 + 9.83910e9i 0.358176 + 0.0817512i
\(590\) −2.85820e10 + 1.37644e10i −0.235876 + 0.113592i
\(591\) −1.92356e11 + 1.53399e11i −1.57673 + 1.25740i
\(592\) 1.44238e10 3.29214e9i 0.117434 0.0268035i
\(593\) 1.56463e11 1.24775e11i 1.26530 1.00904i 0.266317 0.963886i \(-0.414193\pi\)
0.998980 0.0451547i \(-0.0143781\pi\)
\(594\) −8.41108e9 + 3.68514e10i −0.0675626 + 0.296011i
\(595\) 7.44523e10 0.594032
\(596\) 6.78988e10i 0.538118i
\(597\) 1.53831e9 6.73976e9i 0.0121100 0.0530575i
\(598\) −1.04077e10 8.29989e9i −0.0813863 0.0649034i
\(599\) 1.17764e10 + 5.67123e9i 0.0914758 + 0.0440524i 0.479062 0.877781i \(-0.340977\pi\)
−0.387586 + 0.921833i \(0.626691\pi\)
\(600\) −5.13045e10 + 2.47069e10i −0.395868 + 0.190640i
\(601\) 4.73275e9i 0.0362757i 0.999835 + 0.0181378i \(0.00577377\pi\)
−0.999835 + 0.0181378i \(0.994226\pi\)
\(602\) 5.22975e10 3.22545e10i 0.398194 0.245586i
\(603\) 4.06295e10 0.307307
\(604\) −5.18638e10 1.07696e11i −0.389688 0.809195i
\(605\) −2.01019e10 + 4.17419e10i −0.150043 + 0.311567i
\(606\) −1.11076e11 + 1.39285e11i −0.823627 + 1.03280i
\(607\) 2.57954e11 + 5.88762e10i 1.90015 + 0.433696i 0.999998 0.00189002i \(-0.000601612\pi\)
0.900147 + 0.435586i \(0.143459\pi\)
\(608\) −3.96174e10 −0.289916
\(609\) 2.30646e11i 1.67678i
\(610\) −1.18386e11 2.70208e10i −0.855030 0.195155i
\(611\) −5.87341e9 7.36502e9i −0.0421430 0.0528456i
\(612\) 1.27166e10 + 5.57149e10i 0.0906493 + 0.397160i
\(613\) 7.91629e10 + 9.92671e10i 0.560634 + 0.703013i 0.978675 0.205415i \(-0.0658544\pi\)
−0.418041 + 0.908428i \(0.637283\pi\)
\(614\) 1.32480e8 + 2.75097e8i 0.000932129 + 0.00193559i
\(615\) −2.90670e10 + 1.27351e11i −0.203189 + 0.890229i
\(616\) −1.14762e11 + 5.52666e10i −0.797033 + 0.383831i
\(617\) 1.54022e11 1.93138e11i 1.06278 1.33268i 0.122428 0.992477i \(-0.460932\pi\)
0.940351 0.340206i \(-0.110497\pi\)
\(618\) 1.86915e10 + 8.18928e10i 0.128142 + 0.561425i
\(619\) 1.78875e10 + 7.83701e10i 0.121839 + 0.533811i 0.998601 + 0.0528859i \(0.0168420\pi\)
−0.876762 + 0.480925i \(0.840301\pi\)
\(620\) −3.79215e10 + 7.87449e10i −0.256637 + 0.532912i
\(621\) −7.50998e9 5.98901e9i −0.0504978 0.0402706i
\(622\) −2.78826e10 + 2.22356e10i −0.186282 + 0.148555i
\(623\) 2.14363e10 + 1.03232e10i 0.142297 + 0.0685268i
\(624\) 6.10373e9 1.26745e10i 0.0402584 0.0835975i
\(625\) −5.33108e10 6.68496e10i −0.349378 0.438106i
\(626\) 1.00409e11 1.25908e11i 0.653843 0.819893i
\(627\) −6.43564e10 3.09924e10i −0.416410 0.200533i
\(628\) 7.35269e9 1.67820e9i 0.0472724 0.0107896i
\(629\) −2.55120e11 + 5.82294e10i −1.62983 + 0.371997i
\(630\) 3.28378e10 + 2.61873e10i 0.208455 + 0.166237i
\(631\) −6.78633e10 1.40920e11i −0.428073 0.888902i −0.997751 0.0670341i \(-0.978646\pi\)
0.569678 0.821868i \(-0.307068\pi\)
\(632\) −5.22911e10 1.19351e10i −0.327763 0.0748097i
\(633\) 2.24728e11 1.08223e11i 1.39973 0.674073i
\(634\) 7.89750e10 6.29805e10i 0.488802 0.389806i
\(635\) −2.09012e11 + 4.77057e10i −1.28551 + 0.293410i
\(636\) −1.50569e10 + 1.20075e10i −0.0920255 + 0.0733879i
\(637\) 1.71159e10 7.49897e10i 0.103954 0.455453i
\(638\) −2.25479e11 −1.36089
\(639\) 2.00175e10i 0.120062i
\(640\) 1.60093e10 7.01411e10i 0.0954226 0.418074i
\(641\) 2.38436e10 + 1.90146e10i 0.141234 + 0.112630i 0.691558 0.722321i \(-0.256924\pi\)
−0.550324 + 0.834951i \(0.685496\pi\)
\(642\) 9.94164e10 + 4.78764e10i 0.585218 + 0.281826i
\(643\) 1.88886e9 9.09629e8i 0.0110499 0.00532133i −0.428351 0.903613i \(-0.640905\pi\)
0.439401 + 0.898291i \(0.355191\pi\)
\(644\) 1.19517e10i 0.0694840i
\(645\) −9.94410e10 + 1.55363e11i −0.574548 + 0.897653i
\(646\) −3.33364e10 −0.191420
\(647\) 1.31543e11 + 2.73153e11i 0.750675 + 1.55879i 0.827317 + 0.561735i \(0.189866\pi\)
−0.0766417 + 0.997059i \(0.524420\pi\)
\(648\) 9.46068e10 1.96453e11i 0.536565 1.11419i
\(649\) −6.55538e10 + 8.22019e10i −0.369504 + 0.463343i
\(650\) −3.66405e10 8.36296e9i −0.205262 0.0468497i
\(651\) −2.09888e11 −1.16860
\(652\) 3.89213e10i 0.215376i
\(653\) 1.59238e11 + 3.63451e10i 0.875779 + 0.199891i 0.636702 0.771110i \(-0.280298\pi\)
0.239077 + 0.971001i \(0.423155\pi\)
\(654\) −2.95780e10 3.70896e10i −0.161680 0.202741i
\(655\) 1.72530e10 + 7.55905e10i 0.0937347 + 0.410679i
\(656\) −7.12224e9 8.93101e9i −0.0384593 0.0482264i
\(657\) 7.67684e9 + 1.59411e10i 0.0412023 + 0.0855574i
\(658\) −1.33311e9 + 5.84075e9i −0.00711153 + 0.0311577i
\(659\) 2.56388e11 1.23470e11i 1.35943 0.654665i 0.394917 0.918717i \(-0.370773\pi\)
0.964508 + 0.264052i \(0.0850591\pi\)
\(660\) 8.80317e10 1.10388e11i 0.463942 0.581764i
\(661\) −6.29259e10 2.75696e11i −0.329628 1.44419i −0.819841 0.572591i \(-0.805938\pi\)
0.490214 0.871602i \(-0.336919\pi\)
\(662\) −4.53042e10 1.98491e11i −0.235888 1.03349i
\(663\) −1.07959e11 + 2.24180e11i −0.558735 + 1.16022i
\(664\) 1.71852e11 + 1.37047e11i 0.884061 + 0.705015i
\(665\) 2.70423e10 2.15655e10i 0.138279 0.110274i
\(666\) −1.33004e11 6.40513e10i −0.676032 0.325560i
\(667\) 2.48613e10 5.16251e10i 0.125609 0.260830i
\(668\) −1.38711e11 1.73938e11i −0.696634 0.873551i
\(669\) 2.24802e11 2.81893e11i 1.12227 1.40728i
\(670\) −4.22084e10 2.03265e10i −0.209459 0.100870i
\(671\) −3.92362e11 + 8.95540e10i −1.93552 + 0.441769i
\(672\) 1.83342e11 4.18466e10i 0.899052 0.205203i
\(673\) −9.01647e10 7.19040e10i −0.439518 0.350504i 0.378594 0.925563i \(-0.376408\pi\)
−0.818112 + 0.575059i \(0.804979\pi\)
\(674\) −5.38922e10 1.11908e11i −0.261148 0.542279i
\(675\) −2.64389e10 6.03452e9i −0.127359 0.0290688i
\(676\) 2.30960e9 1.11225e9i 0.0110599 0.00532616i
\(677\) 3.17905e11 2.53521e11i 1.51336 1.20687i 0.599811 0.800141i \(-0.295242\pi\)
0.913551 0.406725i \(-0.133329\pi\)
\(678\) −1.63612e11 + 3.73433e10i −0.774275 + 0.176723i
\(679\) −5.26985e10 + 4.20256e10i −0.247924 + 0.197713i
\(680\) 3.97120e10 1.73990e11i 0.185732 0.813745i
\(681\) −2.01679e11 −0.937720
\(682\) 2.05187e11i 0.948443i
\(683\) −6.44482e10 + 2.82366e11i −0.296161 + 1.29757i 0.579632 + 0.814879i \(0.303196\pi\)
−0.875793 + 0.482687i \(0.839661\pi\)
\(684\) 2.07570e10 + 1.65531e10i 0.0948287 + 0.0756233i
\(685\) 2.52109e10 + 1.21409e10i 0.114505 + 0.0551429i
\(686\) −1.37420e11 + 6.61781e10i −0.620518 + 0.298826i
\(687\) 8.11457e10i 0.364283i
\(688\) −5.20038e9 1.52699e10i −0.0232103 0.0681524i
\(689\) −3.44249e10 −0.152755
\(690\) −1.10275e10 2.28989e10i −0.0486498 0.101022i
\(691\) −5.01932e10 + 1.04227e11i −0.220157 + 0.457161i −0.981569 0.191107i \(-0.938792\pi\)
0.761412 + 0.648268i \(0.224507\pi\)
\(692\) 2.61111e10 3.27423e10i 0.113868 0.142786i
\(693\) 1.35712e11 + 3.09755e10i 0.588419 + 0.134303i
\(694\) 1.62356e11 0.699892
\(695\) 7.65142e10i 0.327946i
\(696\) 5.39003e11 + 1.23024e11i 2.29697 + 0.524268i
\(697\) 1.25974e11 + 1.57967e11i 0.533765 + 0.669321i
\(698\) 5.48228e10 + 2.40194e11i 0.230961 + 1.01191i
\(699\) 1.59898e11 + 2.00506e11i 0.669784 + 0.839883i
\(700\) −1.46402e10 3.04007e10i −0.0609755 0.126617i
\(701\) −3.63357e10 + 1.59197e11i −0.150474 + 0.659270i 0.842273 + 0.539051i \(0.181217\pi\)
−0.992747 + 0.120219i \(0.961640\pi\)
\(702\) 5.51121e10 2.65406e10i 0.226934 0.109285i
\(703\) −7.57971e10 + 9.50466e10i −0.310335 + 0.389148i
\(704\) 4.56029e10 + 1.99799e11i 0.185653 + 0.813399i
\(705\) −4.00215e9 1.75345e10i −0.0162008 0.0709803i
\(706\) 1.21455e11 2.52203e11i 0.488872 1.01515i
\(707\) −2.23532e11 1.78260e11i −0.894666 0.713473i
\(708\) 7.44199e10 5.93479e10i 0.296180 0.236196i
\(709\) 2.52279e11 + 1.21491e11i 0.998381 + 0.480795i 0.860389 0.509638i \(-0.170221\pi\)
0.137992 + 0.990433i \(0.455935\pi\)
\(710\) 1.00145e10 2.07954e10i 0.0394091 0.0818338i
\(711\) 3.65462e10 + 4.58275e10i 0.143009 + 0.179328i
\(712\) 3.55584e10 4.45888e10i 0.138364 0.173503i
\(713\) 4.69789e10 + 2.26239e10i 0.181780 + 0.0875404i
\(714\) 1.54275e11 3.52122e10i 0.593610 0.135488i
\(715\) 2.46054e11 5.61603e10i 0.941471 0.214885i
\(716\) −1.87867e11 1.49819e11i −0.714825 0.570054i
\(717\) 2.30578e11 + 4.78800e11i 0.872451 + 1.81166i
\(718\) −1.72710e11 3.94199e10i −0.649859 0.148326i
\(719\) 3.03254e11 1.46039e11i 1.13473 0.546455i 0.230314 0.973116i \(-0.426025\pi\)
0.904411 + 0.426661i \(0.140310\pi\)
\(720\) 8.62101e9 6.87502e9i 0.0320795 0.0255826i
\(721\) −1.31426e11 + 2.99970e10i −0.486339 + 0.111004i
\(722\) 1.24696e11 9.94414e10i 0.458883 0.365947i
\(723\) 1.21501e11 5.32330e11i 0.444658 1.94817i
\(724\) 1.55722e11 0.566755
\(725\) 1.61770e11i 0.585524i
\(726\) −2.19118e10 + 9.60017e10i −0.0788734 + 0.345567i
\(727\) −1.32817e11 1.05918e11i −0.475464 0.379170i 0.356235 0.934396i \(-0.384060\pi\)
−0.831699 + 0.555227i \(0.812632\pi\)
\(728\) 1.85718e11 + 8.94373e10i 0.661195 + 0.318415i
\(729\) −8.36689e10 + 4.02928e10i −0.296247 + 0.142665i
\(730\) 2.04012e10i 0.0718397i
\(731\) 9.19814e10 + 2.70085e11i 0.322130 + 0.945868i
\(732\) 3.64352e11 1.26905
\(733\) 9.28717e10 + 1.92850e11i 0.321712 + 0.668042i 0.997621 0.0689433i \(-0.0219628\pi\)
−0.675908 + 0.736986i \(0.736248\pi\)
\(734\) −7.90974e10 + 1.64247e11i −0.272507 + 0.565867i
\(735\) 9.15629e10 1.14816e11i 0.313740 0.393418i
\(736\) −4.55478e10 1.03960e10i −0.155223 0.0354286i
\(737\) −1.55265e11 −0.526266
\(738\) 1.13982e11i 0.384246i
\(739\) −4.53263e11 1.03454e11i −1.51975 0.346873i −0.620464 0.784235i \(-0.713056\pi\)
−0.899286 + 0.437362i \(0.855913\pi\)
\(740\) −1.49824e11 1.87873e11i −0.499636 0.626524i
\(741\) 2.57223e10 + 1.12697e11i 0.0853171 + 0.373799i
\(742\) 1.36501e10 + 1.71167e10i 0.0450320 + 0.0564684i
\(743\) −4.84388e10 1.00584e11i −0.158942 0.330046i 0.806256 0.591567i \(-0.201490\pi\)
−0.965198 + 0.261521i \(0.915776\pi\)
\(744\) −1.11952e11 + 4.90494e11i −0.365377 + 1.60082i
\(745\) −2.08777e11 + 1.00542e11i −0.677731 + 0.326378i
\(746\) 9.17800e10 1.15089e11i 0.296342 0.371601i
\(747\) −5.34528e10 2.34192e11i −0.171667 0.752124i
\(748\) −4.85963e10 2.12914e11i −0.155238 0.680140i
\(749\) −7.68344e10 + 1.59548e11i −0.244134 + 0.506949i
\(750\) −2.25871e11 1.80126e11i −0.713862 0.569286i
\(751\) −4.86958e11 + 3.88336e11i −1.53085 + 1.22081i −0.638358 + 0.769740i \(0.720386\pi\)
−0.892489 + 0.451069i \(0.851043\pi\)
\(752\) 1.41706e9 + 6.82422e8i 0.00443117 + 0.00213394i
\(753\) −6.65287e10 + 1.38148e11i −0.206933 + 0.429700i
\(754\) 2.27506e11 + 2.85283e11i 0.703893 + 0.882654i