Properties

Label 384.2.v.a.349.28
Level $384$
Weight $2$
Character 384.349
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 349.28
Character \(\chi\) \(=\) 384.349
Dual form 384.2.v.a.373.28

$q$-expansion

\(f(q)\) \(=\) \(q+(1.27565 + 0.610503i) q^{2} +(-0.995185 - 0.0980171i) q^{3} +(1.25457 + 1.55758i) q^{4} +(-1.28161 - 2.39773i) q^{5} +(-1.20967 - 0.732599i) q^{6} +(0.997543 + 5.01499i) q^{7} +(0.649491 + 2.75285i) q^{8} +(0.980785 + 0.195090i) q^{9} +O(q^{10})\) \(q+(1.27565 + 0.610503i) q^{2} +(-0.995185 - 0.0980171i) q^{3} +(1.25457 + 1.55758i) q^{4} +(-1.28161 - 2.39773i) q^{5} +(-1.20967 - 0.732599i) q^{6} +(0.997543 + 5.01499i) q^{7} +(0.649491 + 2.75285i) q^{8} +(0.980785 + 0.195090i) q^{9} +(-0.171071 - 3.84110i) q^{10} +(0.439216 + 0.360455i) q^{11} +(-1.09586 - 1.67305i) q^{12} +(3.44526 + 1.84153i) q^{13} +(-1.78915 + 7.00638i) q^{14} +(1.04042 + 2.51181i) q^{15} +(-0.852096 + 3.90819i) q^{16} +(-0.200696 + 0.484523i) q^{17} +(1.13204 + 0.847639i) q^{18} +(4.89393 - 1.48456i) q^{19} +(2.12677 - 5.00434i) q^{20} +(-0.501185 - 5.08862i) q^{21} +(0.340227 + 0.727957i) q^{22} +(-4.43892 + 2.96599i) q^{23} +(-0.376538 - 2.80325i) q^{24} +(-1.32873 + 1.98858i) q^{25} +(3.27069 + 4.45250i) q^{26} +(-0.956940 - 0.290285i) q^{27} +(-6.55974 + 7.84542i) q^{28} +(-2.77722 - 3.38405i) q^{29} +(-0.206246 + 3.83937i) q^{30} +(3.56394 - 3.56394i) q^{31} +(-3.47294 + 4.46528i) q^{32} +(-0.401770 - 0.401770i) q^{33} +(-0.551821 + 0.495557i) q^{34} +(10.7461 - 8.81912i) q^{35} +(0.926598 + 1.77240i) q^{36} +(0.893489 - 2.94544i) q^{37} +(7.14928 + 1.09398i) q^{38} +(-3.24817 - 2.17036i) q^{39} +(5.76819 - 5.08539i) q^{40} +(-5.07322 - 7.59261i) q^{41} +(2.46728 - 6.79728i) q^{42} +(-10.6540 + 1.04932i) q^{43} +(-0.0104087 + 1.13633i) q^{44} +(-0.789214 - 2.60169i) q^{45} +(-7.47326 + 1.07360i) q^{46} +(4.81689 + 1.99522i) q^{47} +(1.23106 - 3.80585i) q^{48} +(-17.6879 + 7.32655i) q^{49} +(-2.90903 + 1.72555i) q^{50} +(0.247221 - 0.462518i) q^{51} +(1.45400 + 7.67660i) q^{52} +(-0.501822 + 0.611472i) q^{53} +(-1.04350 - 0.954517i) q^{54} +(0.301369 - 1.51508i) q^{55} +(-13.1576 + 6.00328i) q^{56} +(-5.01588 + 0.997720i) q^{57} +(-1.47679 - 6.01237i) q^{58} +(9.69215 - 5.18056i) q^{59} +(-2.60704 + 4.77178i) q^{60} +(-0.0767350 + 0.779103i) q^{61} +(6.72214 - 2.37055i) q^{62} +5.11324i q^{63} +(-7.15632 + 3.57590i) q^{64} -10.6209i q^{65} +(-0.267237 - 0.757800i) q^{66} +(1.28819 - 13.0792i) q^{67} +(-1.00647 + 0.295270i) q^{68} +(4.70826 - 2.51662i) q^{69} +(19.0924 - 4.68958i) q^{70} +(10.4385 - 2.07635i) q^{71} +(0.0999580 + 2.82666i) q^{72} +(-0.349590 + 1.75751i) q^{73} +(2.93798 - 3.21188i) q^{74} +(1.51725 - 1.84877i) q^{75} +(8.45211 + 5.76019i) q^{76} +(-1.36954 + 2.56223i) q^{77} +(-2.81852 - 4.75164i) q^{78} +(8.80664 - 3.64783i) q^{79} +(10.4628 - 2.96569i) q^{80} +(0.923880 + 0.382683i) q^{81} +(-1.83635 - 12.7827i) q^{82} +(1.74636 + 5.75698i) q^{83} +(7.29714 - 7.16467i) q^{84} +(1.41897 - 0.139756i) q^{85} +(-14.2314 - 5.16571i) q^{86} +(2.43215 + 3.63997i) q^{87} +(-0.707010 + 1.44321i) q^{88} +(-1.79157 - 1.19709i) q^{89} +(0.581577 - 3.80067i) q^{90} +(-5.79846 + 19.1150i) q^{91} +(-10.1887 - 3.19291i) q^{92} +(-3.89610 + 3.19745i) q^{93} +(4.92658 + 5.48593i) q^{94} +(-9.83170 - 9.83170i) q^{95} +(3.89389 - 4.10337i) q^{96} +(8.59524 - 8.59524i) q^{97} +(-27.0364 - 1.45236i) q^{98} +(0.360455 + 0.439216i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{11}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.27565 + 0.610503i 0.902022 + 0.431691i
\(3\) −0.995185 0.0980171i −0.574570 0.0565902i
\(4\) 1.25457 + 1.55758i 0.627286 + 0.778789i
\(5\) −1.28161 2.39773i −0.573155 1.07230i −0.986813 0.161865i \(-0.948249\pi\)
0.413658 0.910432i \(-0.364251\pi\)
\(6\) −1.20967 0.732599i −0.493845 0.299082i
\(7\) 0.997543 + 5.01499i 0.377036 + 1.89549i 0.440949 + 0.897532i \(0.354642\pi\)
−0.0639132 + 0.997955i \(0.520358\pi\)
\(8\) 0.649491 + 2.75285i 0.229630 + 0.973278i
\(9\) 0.980785 + 0.195090i 0.326928 + 0.0650301i
\(10\) −0.171071 3.84110i −0.0540973 1.21466i
\(11\) 0.439216 + 0.360455i 0.132428 + 0.108681i 0.698276 0.715829i \(-0.253951\pi\)
−0.565847 + 0.824510i \(0.691451\pi\)
\(12\) −1.09586 1.67305i −0.316348 0.482967i
\(13\) 3.44526 + 1.84153i 0.955544 + 0.510749i 0.874003 0.485921i \(-0.161516\pi\)
0.0815414 + 0.996670i \(0.474016\pi\)
\(14\) −1.78915 + 7.00638i −0.478170 + 1.87253i
\(15\) 1.04042 + 2.51181i 0.268636 + 0.648545i
\(16\) −0.852096 + 3.90819i −0.213024 + 0.977047i
\(17\) −0.200696 + 0.484523i −0.0486759 + 0.117514i −0.946347 0.323152i \(-0.895258\pi\)
0.897671 + 0.440666i \(0.145258\pi\)
\(18\) 1.13204 + 0.847639i 0.266824 + 0.199791i
\(19\) 4.89393 1.48456i 1.12274 0.340581i 0.326285 0.945272i \(-0.394203\pi\)
0.796460 + 0.604691i \(0.206703\pi\)
\(20\) 2.12677 5.00434i 0.475561 1.11900i
\(21\) −0.501185 5.08862i −0.109368 1.11043i
\(22\) 0.340227 + 0.727957i 0.0725367 + 0.155201i
\(23\) −4.43892 + 2.96599i −0.925579 + 0.618452i −0.924349 0.381547i \(-0.875391\pi\)
−0.00122953 + 0.999999i \(0.500391\pi\)
\(24\) −0.376538 2.80325i −0.0768605 0.572211i
\(25\) −1.32873 + 1.98858i −0.265746 + 0.397716i
\(26\) 3.27069 + 4.45250i 0.641436 + 0.873206i
\(27\) −0.956940 0.290285i −0.184163 0.0558653i
\(28\) −6.55974 + 7.84542i −1.23968 + 1.48264i
\(29\) −2.77722 3.38405i −0.515717 0.628403i 0.448416 0.893825i \(-0.351988\pi\)
−0.964132 + 0.265423i \(0.914488\pi\)
\(30\) −0.206246 + 3.83937i −0.0376553 + 0.700970i
\(31\) 3.56394 3.56394i 0.640102 0.640102i −0.310478 0.950580i \(-0.600489\pi\)
0.950580 + 0.310478i \(0.100489\pi\)
\(32\) −3.47294 + 4.46528i −0.613934 + 0.789357i
\(33\) −0.401770 0.401770i −0.0699392 0.0699392i
\(34\) −0.551821 + 0.495557i −0.0946365 + 0.0849873i
\(35\) 10.7461 8.81912i 1.81643 1.49070i
\(36\) 0.926598 + 1.77240i 0.154433 + 0.295401i
\(37\) 0.893489 2.94544i 0.146889 0.484227i −0.852361 0.522954i \(-0.824830\pi\)
0.999250 + 0.0387264i \(0.0123301\pi\)
\(38\) 7.14928 + 1.09398i 1.15977 + 0.177467i
\(39\) −3.24817 2.17036i −0.520124 0.347536i
\(40\) 5.76819 5.08539i 0.912030 0.804071i
\(41\) −5.07322 7.59261i −0.792304 1.18577i −0.979102 0.203369i \(-0.934811\pi\)
0.186798 0.982398i \(-0.440189\pi\)
\(42\) 2.46728 6.79728i 0.380709 1.04884i
\(43\) −10.6540 + 1.04932i −1.62472 + 0.160021i −0.868977 0.494853i \(-0.835222\pi\)
−0.755739 + 0.654873i \(0.772722\pi\)
\(44\) −0.0104087 + 1.13633i −0.00156917 + 0.171308i
\(45\) −0.789214 2.60169i −0.117649 0.387837i
\(46\) −7.47326 + 1.07360i −1.10187 + 0.158293i
\(47\) 4.81689 + 1.99522i 0.702615 + 0.291033i 0.705245 0.708964i \(-0.250837\pi\)
−0.00262973 + 0.999997i \(0.500837\pi\)
\(48\) 1.23106 3.80585i 0.177689 0.549327i
\(49\) −17.6879 + 7.32655i −2.52684 + 1.04665i
\(50\) −2.90903 + 1.72555i −0.411399 + 0.244029i
\(51\) 0.247221 0.462518i 0.0346179 0.0647655i
\(52\) 1.45400 + 7.67660i 0.201634 + 1.06455i
\(53\) −0.501822 + 0.611472i −0.0689306 + 0.0839922i −0.806334 0.591460i \(-0.798552\pi\)
0.737404 + 0.675452i \(0.236052\pi\)
\(54\) −1.04350 0.954517i −0.142003 0.129893i
\(55\) 0.301369 1.51508i 0.0406366 0.204294i
\(56\) −13.1576 + 6.00328i −1.75826 + 0.802221i
\(57\) −5.01588 + 0.997720i −0.664369 + 0.132151i
\(58\) −1.47679 6.01237i −0.193912 0.789463i
\(59\) 9.69215 5.18056i 1.26181 0.674451i 0.301521 0.953460i \(-0.402506\pi\)
0.960289 + 0.279008i \(0.0900056\pi\)
\(60\) −2.60704 + 4.77178i −0.336568 + 0.616034i
\(61\) −0.0767350 + 0.779103i −0.00982491 + 0.0997540i −0.998847 0.0480170i \(-0.984710\pi\)
0.989022 + 0.147771i \(0.0472098\pi\)
\(62\) 6.72214 2.37055i 0.853712 0.301060i
\(63\) 5.11324i 0.644207i
\(64\) −7.15632 + 3.57590i −0.894540 + 0.446987i
\(65\) 10.6209i 1.31737i
\(66\) −0.267237 0.757800i −0.0328946 0.0932787i
\(67\) 1.28819 13.0792i 0.157377 1.59788i −0.514681 0.857382i \(-0.672090\pi\)
0.672058 0.740498i \(-0.265410\pi\)
\(68\) −1.00647 + 0.295270i −0.122052 + 0.0358067i
\(69\) 4.70826 2.51662i 0.566808 0.302965i
\(70\) 19.0924 4.68958i 2.28198 0.560512i
\(71\) 10.4385 2.07635i 1.23882 0.246417i 0.468150 0.883649i \(-0.344921\pi\)
0.770672 + 0.637232i \(0.219921\pi\)
\(72\) 0.0999580 + 2.82666i 0.0117802 + 0.333125i
\(73\) −0.349590 + 1.75751i −0.0409164 + 0.205701i −0.995836 0.0911643i \(-0.970941\pi\)
0.954919 + 0.296865i \(0.0959411\pi\)
\(74\) 2.93798 3.21188i 0.341533 0.373373i
\(75\) 1.51725 1.84877i 0.175196 0.213477i
\(76\) 8.45211 + 5.76019i 0.969523 + 0.660739i
\(77\) −1.36954 + 2.56223i −0.156074 + 0.291993i
\(78\) −2.81852 4.75164i −0.319135 0.538017i
\(79\) 8.80664 3.64783i 0.990825 0.410413i 0.172400 0.985027i \(-0.444848\pi\)
0.818425 + 0.574614i \(0.194848\pi\)
\(80\) 10.4628 2.96569i 1.16978 0.331574i
\(81\) 0.923880 + 0.382683i 0.102653 + 0.0425204i
\(82\) −1.83635 12.7827i −0.202791 1.41162i
\(83\) 1.74636 + 5.75698i 0.191688 + 0.631910i 0.999120 + 0.0419494i \(0.0133568\pi\)
−0.807432 + 0.589961i \(0.799143\pi\)
\(84\) 7.29714 7.16467i 0.796183 0.781730i
\(85\) 1.41897 0.139756i 0.153909 0.0151587i
\(86\) −14.2314 5.16571i −1.53461 0.557033i
\(87\) 2.43215 + 3.63997i 0.260754 + 0.390246i
\(88\) −0.707010 + 1.44321i −0.0753675 + 0.153846i
\(89\) −1.79157 1.19709i −0.189906 0.126891i 0.456983 0.889476i \(-0.348930\pi\)
−0.646889 + 0.762585i \(0.723930\pi\)
\(90\) 0.581577 3.80067i 0.0613036 0.400625i
\(91\) −5.79846 + 19.1150i −0.607844 + 2.00379i
\(92\) −10.1887 3.19291i −1.06225 0.332884i
\(93\) −3.89610 + 3.19745i −0.404007 + 0.331560i
\(94\) 4.92658 + 5.48593i 0.508138 + 0.565830i
\(95\) −9.83170 9.83170i −1.00871 1.00871i
\(96\) 3.89389 4.10337i 0.397418 0.418798i
\(97\) 8.59524 8.59524i 0.872715 0.872715i −0.120053 0.992768i \(-0.538306\pi\)
0.992768 + 0.120053i \(0.0383064\pi\)
\(98\) −27.0364 1.45236i −2.73109 0.146711i
\(99\) 0.360455 + 0.439216i 0.0362271 + 0.0441428i
\(100\) −4.76436 + 0.425223i −0.476436 + 0.0425223i
\(101\) 4.52804 + 1.37357i 0.450557 + 0.136675i 0.507405 0.861708i \(-0.330605\pi\)
−0.0568476 + 0.998383i \(0.518105\pi\)
\(102\) 0.597737 0.439083i 0.0591847 0.0434757i
\(103\) −8.46172 + 12.6639i −0.833758 + 1.24781i 0.132744 + 0.991150i \(0.457621\pi\)
−0.966503 + 0.256657i \(0.917379\pi\)
\(104\) −2.83178 + 10.6803i −0.277679 + 1.04729i
\(105\) −11.5588 + 7.72335i −1.12802 + 0.753722i
\(106\) −1.01346 + 0.473661i −0.0984355 + 0.0460061i
\(107\) 0.226148 + 2.29612i 0.0218625 + 0.221974i 0.999908 + 0.0135814i \(0.00432322\pi\)
−0.978045 + 0.208393i \(0.933177\pi\)
\(108\) −0.748410 1.85469i −0.0720158 0.178468i
\(109\) 12.9330 3.92317i 1.23875 0.375772i 0.398099 0.917343i \(-0.369670\pi\)
0.840655 + 0.541571i \(0.182170\pi\)
\(110\) 1.30941 1.74873i 0.124847 0.166735i
\(111\) −1.17789 + 2.84368i −0.111800 + 0.269910i
\(112\) −20.4495 0.374664i −1.93230 0.0354024i
\(113\) −3.11965 7.53151i −0.293472 0.708505i −1.00000 0.000818939i \(-0.999739\pi\)
0.706527 0.707686i \(-0.250261\pi\)
\(114\) −7.00762 1.78947i −0.656324 0.167599i
\(115\) 12.8006 + 6.84208i 1.19367 + 0.638027i
\(116\) 1.78670 8.57127i 0.165891 0.795823i
\(117\) 3.01980 + 2.47828i 0.279181 + 0.229118i
\(118\) 15.5265 0.691505i 1.42933 0.0636582i
\(119\) −2.63008 0.523155i −0.241099 0.0479576i
\(120\) −6.23887 + 4.49552i −0.569528 + 0.410383i
\(121\) −2.08301 10.4720i −0.189365 0.952000i
\(122\) −0.573532 + 0.947017i −0.0519251 + 0.0857389i
\(123\) 4.30459 + 8.05332i 0.388132 + 0.726143i
\(124\) 10.0223 + 1.07989i 0.900031 + 0.0969771i
\(125\) −7.05733 0.695087i −0.631227 0.0621704i
\(126\) −3.12165 + 6.52271i −0.278098 + 0.581089i
\(127\) −14.9373 −1.32547 −0.662734 0.748855i \(-0.730604\pi\)
−0.662734 + 0.748855i \(0.730604\pi\)
\(128\) −11.3121 + 0.192646i −0.999855 + 0.0170277i
\(129\) 10.7055 0.942569
\(130\) 6.48412 13.5486i 0.568695 1.18829i
\(131\) −17.0922 1.68344i −1.49336 0.147083i −0.681878 0.731465i \(-0.738837\pi\)
−0.811478 + 0.584383i \(0.801337\pi\)
\(132\) 0.121738 1.12984i 0.0105960 0.0983397i
\(133\) 12.3270 + 23.0621i 1.06888 + 1.99974i
\(134\) 9.62818 15.8981i 0.831748 1.37338i
\(135\) 0.530403 + 2.66652i 0.0456499 + 0.229497i
\(136\) −1.46417 0.237792i −0.125551 0.0203905i
\(137\) 16.5963 + 3.30120i 1.41792 + 0.282041i 0.843767 0.536710i \(-0.180333\pi\)
0.574148 + 0.818751i \(0.305333\pi\)
\(138\) 7.54251 0.335920i 0.642061 0.0285954i
\(139\) −7.08961 5.81829i −0.601333 0.493501i 0.283773 0.958892i \(-0.408414\pi\)
−0.885105 + 0.465391i \(0.845914\pi\)
\(140\) 27.2183 + 5.67370i 2.30036 + 0.479515i
\(141\) −4.59813 2.45775i −0.387232 0.206980i
\(142\) 14.5835 + 3.72404i 1.22382 + 0.312515i
\(143\) 0.849424 + 2.05069i 0.0710324 + 0.171487i
\(144\) −1.59817 + 3.66686i −0.133181 + 0.305571i
\(145\) −4.55472 + 10.9961i −0.378249 + 0.913174i
\(146\) −1.51892 + 2.02854i −0.125707 + 0.167883i
\(147\) 18.3208 5.55756i 1.51108 0.458380i
\(148\) 5.70870 2.30359i 0.469252 0.189354i
\(149\) 1.65497 + 16.8032i 0.135581 + 1.37657i 0.786577 + 0.617492i \(0.211851\pi\)
−0.650997 + 0.759081i \(0.725649\pi\)
\(150\) 3.06415 1.43210i 0.250187 0.116931i
\(151\) −12.0822 + 8.07305i −0.983233 + 0.656976i −0.939673 0.342075i \(-0.888870\pi\)
−0.0435608 + 0.999051i \(0.513870\pi\)
\(152\) 7.26533 + 12.5080i 0.589296 + 1.01454i
\(153\) −0.291365 + 0.436059i −0.0235555 + 0.0352533i
\(154\) −3.31131 + 2.43240i −0.266833 + 0.196009i
\(155\) −13.1130 3.97777i −1.05326 0.319502i
\(156\) −0.694564 7.78215i −0.0556097 0.623071i
\(157\) 2.17928 + 2.65546i 0.173926 + 0.211929i 0.852676 0.522440i \(-0.174978\pi\)
−0.678750 + 0.734369i \(0.737478\pi\)
\(158\) 13.4612 + 0.723121i 1.07092 + 0.0575284i
\(159\) 0.559341 0.559341i 0.0443586 0.0443586i
\(160\) 15.1575 + 2.60441i 1.19831 + 0.205896i
\(161\) −19.3024 19.3024i −1.52124 1.52124i
\(162\) 0.944919 + 1.05220i 0.0742398 + 0.0826688i
\(163\) −1.59054 + 1.30532i −0.124581 + 0.102241i −0.694621 0.719376i \(-0.744428\pi\)
0.570040 + 0.821617i \(0.306928\pi\)
\(164\) 5.46136 17.4274i 0.426461 1.36085i
\(165\) −0.448422 + 1.47825i −0.0349096 + 0.115082i
\(166\) −1.28690 + 8.41005i −0.0998832 + 0.652747i
\(167\) 15.7096 + 10.4968i 1.21564 + 0.812266i 0.986918 0.161225i \(-0.0515446\pi\)
0.228724 + 0.973491i \(0.426545\pi\)
\(168\) 13.6827 4.68470i 1.05564 0.361432i
\(169\) 1.25619 + 1.88002i 0.0966300 + 0.144617i
\(170\) 1.89543 + 0.688005i 0.145373 + 0.0527676i
\(171\) 5.08952 0.501274i 0.389205 0.0383334i
\(172\) −15.0006 15.2779i −1.14378 1.16493i
\(173\) −4.61275 15.2062i −0.350701 1.15611i −0.937971 0.346715i \(-0.887297\pi\)
0.587270 0.809391i \(-0.300203\pi\)
\(174\) 0.880364 + 6.12817i 0.0667402 + 0.464575i
\(175\) −11.2982 4.67986i −0.854062 0.353764i
\(176\) −1.78298 + 1.40940i −0.134397 + 0.106237i
\(177\) −10.1533 + 4.20562i −0.763166 + 0.316114i
\(178\) −1.55459 2.62082i −0.116522 0.196439i
\(179\) −4.57641 + 8.56186i −0.342057 + 0.639943i −0.992858 0.119305i \(-0.961933\pi\)
0.650801 + 0.759248i \(0.274433\pi\)
\(180\) 3.06221 4.49327i 0.228243 0.334909i
\(181\) 11.0282 13.4380i 0.819723 0.998836i −0.180161 0.983637i \(-0.557662\pi\)
0.999884 0.0151986i \(-0.00483805\pi\)
\(182\) −19.0666 + 20.8441i −1.41331 + 1.54506i
\(183\) 0.152731 0.767830i 0.0112902 0.0567597i
\(184\) −11.0480 10.2933i −0.814466 0.758831i
\(185\) −8.20748 + 1.63257i −0.603426 + 0.120029i
\(186\) −6.92212 + 1.70025i −0.507554 + 0.124668i
\(187\) −0.262798 + 0.140468i −0.0192177 + 0.0102721i
\(188\) 2.93542 + 10.0058i 0.214088 + 0.729750i
\(189\) 0.501185 5.08862i 0.0364558 0.370142i
\(190\) −6.53954 18.5441i −0.474428 1.34533i
\(191\) 8.52134i 0.616582i 0.951292 + 0.308291i \(0.0997571\pi\)
−0.951292 + 0.308291i \(0.900243\pi\)
\(192\) 7.47236 2.85724i 0.539271 0.206203i
\(193\) 3.54347i 0.255064i 0.991834 + 0.127532i \(0.0407056\pi\)
−0.991834 + 0.127532i \(0.959294\pi\)
\(194\) 16.2120 5.71711i 1.16395 0.410465i
\(195\) −1.04103 + 10.5698i −0.0745501 + 0.756919i
\(196\) −33.6024 18.3585i −2.40017 1.31132i
\(197\) −4.55570 + 2.43507i −0.324580 + 0.173492i −0.625637 0.780115i \(-0.715161\pi\)
0.301057 + 0.953606i \(0.402661\pi\)
\(198\) 0.191672 + 0.780345i 0.0136216 + 0.0554567i
\(199\) 7.44356 1.48062i 0.527660 0.104958i 0.0759305 0.997113i \(-0.475807\pi\)
0.451729 + 0.892155i \(0.350807\pi\)
\(200\) −6.33726 2.36622i −0.448112 0.167317i
\(201\) −2.56397 + 12.8900i −0.180849 + 0.909188i
\(202\) 4.93764 + 4.51658i 0.347411 + 0.317785i
\(203\) 14.2006 17.3035i 0.996685 1.21446i
\(204\) 1.03056 0.195197i 0.0721540 0.0136665i
\(205\) −11.7031 + 21.8950i −0.817382 + 1.52921i
\(206\) −18.5255 + 10.9888i −1.29073 + 0.765624i
\(207\) −4.93226 + 2.04301i −0.342816 + 0.141999i
\(208\) −10.1327 + 11.8956i −0.702580 + 0.824810i
\(209\) 2.68461 + 1.11200i 0.185698 + 0.0769187i
\(210\) −19.4601 + 2.79561i −1.34288 + 0.192916i
\(211\) −5.77365 19.0332i −0.397475 1.31030i −0.896243 0.443563i \(-0.853714\pi\)
0.498768 0.866735i \(-0.333786\pi\)
\(212\) −1.58199 0.0144909i −0.108651 0.000995240i
\(213\) −10.5918 + 1.04320i −0.725735 + 0.0714787i
\(214\) −1.11330 + 3.06711i −0.0761037 + 0.209663i
\(215\) 16.1703 + 24.2005i 1.10280 + 1.65046i
\(216\) 0.177584 2.82285i 0.0120831 0.192070i
\(217\) 21.4283 + 14.3179i 1.45465 + 0.971964i
\(218\) 18.8931 + 2.89101i 1.27960 + 0.195804i
\(219\) 0.520172 1.71478i 0.0351500 0.115874i
\(220\) 2.73795 1.43138i 0.184593 0.0965035i
\(221\) −1.58372 + 1.29972i −0.106532 + 0.0874287i
\(222\) −3.23865 + 2.90844i −0.217364 + 0.195202i
\(223\) −8.96043 8.96043i −0.600035 0.600035i 0.340287 0.940322i \(-0.389476\pi\)
−0.940322 + 0.340287i \(0.889476\pi\)
\(224\) −25.8577 12.9624i −1.72769 0.866089i
\(225\) −1.69115 + 1.69115i −0.112743 + 0.112743i
\(226\) 0.618418 11.5121i 0.0411366 0.765776i
\(227\) −8.96592 10.9250i −0.595089 0.725118i 0.385168 0.922847i \(-0.374144\pi\)
−0.980257 + 0.197728i \(0.936644\pi\)
\(228\) −7.84681 6.56091i −0.519668 0.434507i
\(229\) 7.67239 + 2.32739i 0.507006 + 0.153799i 0.533417 0.845853i \(-0.320908\pi\)
−0.0264109 + 0.999651i \(0.508408\pi\)
\(230\) 12.1520 + 16.5429i 0.801281 + 1.09081i
\(231\) 1.61409 2.41565i 0.106199 0.158938i
\(232\) 7.51199 9.84317i 0.493186 0.646236i
\(233\) 0.747487 0.499455i 0.0489695 0.0327204i −0.530845 0.847469i \(-0.678125\pi\)
0.579814 + 0.814749i \(0.303125\pi\)
\(234\) 2.33921 + 5.00502i 0.152919 + 0.327189i
\(235\) −1.38939 14.1067i −0.0906337 0.920220i
\(236\) 20.2286 + 8.59688i 1.31677 + 0.559609i
\(237\) −9.12179 + 2.76706i −0.592524 + 0.179740i
\(238\) −3.03568 2.27304i −0.196774 0.147339i
\(239\) −6.02744 + 14.5515i −0.389882 + 0.941259i 0.600081 + 0.799939i \(0.295135\pi\)
−0.989964 + 0.141321i \(0.954865\pi\)
\(240\) −10.7031 + 1.92587i −0.690885 + 0.124315i
\(241\) −1.11994 2.70377i −0.0721415 0.174165i 0.883696 0.468062i \(-0.155048\pi\)
−0.955837 + 0.293897i \(0.905048\pi\)
\(242\) 3.73599 14.6303i 0.240159 0.940472i
\(243\) −0.881921 0.471397i −0.0565753 0.0302401i
\(244\) −1.30978 + 0.857921i −0.0838503 + 0.0549228i
\(245\) 40.2361 + 33.0209i 2.57059 + 2.10963i
\(246\) 0.574580 + 12.9012i 0.0366339 + 0.822550i
\(247\) 19.5947 + 3.89764i 1.24678 + 0.248001i
\(248\) 12.1257 + 7.49622i 0.769984 + 0.476011i
\(249\) −1.17367 5.90043i −0.0743782 0.373924i
\(250\) −8.57834 5.19521i −0.542542 0.328574i
\(251\) −6.94640 12.9958i −0.438453 0.820288i 0.561521 0.827462i \(-0.310216\pi\)
−0.999974 + 0.00717424i \(0.997716\pi\)
\(252\) −7.96426 + 6.41493i −0.501702 + 0.404102i
\(253\) −3.01875 0.297321i −0.189787 0.0186924i
\(254\) −19.0547 9.11924i −1.19560 0.572192i
\(255\) −1.42584 −0.0892893
\(256\) −14.5479 6.66030i −0.909242 0.416269i
\(257\) 13.3276 0.831355 0.415678 0.909512i \(-0.363544\pi\)
0.415678 + 0.909512i \(0.363544\pi\)
\(258\) 13.6565 + 6.53575i 0.850217 + 0.406898i
\(259\) 15.6626 + 1.54264i 0.973229 + 0.0958547i
\(260\) 16.5430 13.3247i 1.02595 0.826366i
\(261\) −2.06366 3.86084i −0.127737 0.238980i
\(262\) −20.7760 12.5823i −1.28355 0.777340i
\(263\) 4.10516 + 20.6380i 0.253135 + 1.27260i 0.872935 + 0.487836i \(0.162213\pi\)
−0.619801 + 0.784759i \(0.712787\pi\)
\(264\) 0.845065 1.36696i 0.0520101 0.0841304i
\(265\) 2.10929 + 0.419564i 0.129573 + 0.0257736i
\(266\) 1.64541 + 36.9448i 0.100887 + 2.26523i
\(267\) 1.66561 + 1.36693i 0.101933 + 0.0836546i
\(268\) 21.9880 14.4024i 1.34313 0.879764i
\(269\) −6.85537 3.66427i −0.417979 0.223415i 0.248980 0.968509i \(-0.419905\pi\)
−0.666960 + 0.745094i \(0.732405\pi\)
\(270\) −0.951307 + 3.72536i −0.0578947 + 0.226718i
\(271\) 6.75101 + 16.2984i 0.410095 + 0.990057i 0.985112 + 0.171915i \(0.0549955\pi\)
−0.575017 + 0.818142i \(0.695005\pi\)
\(272\) −1.72259 1.19722i −0.104448 0.0725920i
\(273\) 7.64413 18.4546i 0.462644 1.11692i
\(274\) 19.1557 + 14.3433i 1.15724 + 0.866508i
\(275\) −1.30039 + 0.394470i −0.0784166 + 0.0237874i
\(276\) 9.82669 + 4.17620i 0.591497 + 0.251378i
\(277\) 0.622873 + 6.32413i 0.0374248 + 0.379980i 0.995593 + 0.0937758i \(0.0298937\pi\)
−0.958169 + 0.286205i \(0.907606\pi\)
\(278\) −5.49178 11.7503i −0.329375 0.704738i
\(279\) 4.19075 2.80017i 0.250893 0.167642i
\(280\) 31.2572 + 23.8545i 1.86797 + 1.42558i
\(281\) −10.3311 + 15.4616i −0.616304 + 0.922364i −0.999999 0.00109568i \(-0.999651\pi\)
0.383695 + 0.923460i \(0.374651\pi\)
\(282\) −4.36514 5.94240i −0.259940 0.353865i
\(283\) 3.17622 + 0.963497i 0.188807 + 0.0572739i 0.383272 0.923635i \(-0.374797\pi\)
−0.194465 + 0.980909i \(0.562297\pi\)
\(284\) 16.3299 + 13.6539i 0.969003 + 0.810207i
\(285\) 8.82068 + 10.7480i 0.522492 + 0.636659i
\(286\) −0.168384 + 3.13454i −0.00995675 + 0.185349i
\(287\) 33.0161 33.0161i 1.94888 1.94888i
\(288\) −4.27734 + 3.70194i −0.252045 + 0.218139i
\(289\) 11.8263 + 11.8263i 0.695667 + 0.695667i
\(290\) −12.5234 + 11.2465i −0.735398 + 0.660416i
\(291\) −9.39634 + 7.71137i −0.550823 + 0.452049i
\(292\) −3.17604 + 1.66041i −0.185864 + 0.0971680i
\(293\) 5.29450 17.4536i 0.309308 1.01965i −0.655168 0.755483i \(-0.727402\pi\)
0.964476 0.264169i \(-0.0850978\pi\)
\(294\) 26.7639 + 4.09540i 1.56090 + 0.238849i
\(295\) −24.8432 16.5997i −1.44643 0.966471i
\(296\) 8.68865 + 0.546601i 0.505018 + 0.0317705i
\(297\) −0.315669 0.472431i −0.0183170 0.0274133i
\(298\) −8.14724 + 22.4454i −0.471957 + 1.30023i
\(299\) −20.7552 + 2.04421i −1.20031 + 0.118220i
\(300\) 4.78309 + 0.0438129i 0.276152 + 0.00252954i
\(301\) −15.8901 52.3828i −0.915893 3.01929i
\(302\) −20.3413 + 2.92220i −1.17051 + 0.168153i
\(303\) −4.37161 1.81078i −0.251142 0.104027i
\(304\) 1.63183 + 20.3914i 0.0935920 + 1.16953i
\(305\) 1.96642 0.814520i 0.112597 0.0466393i
\(306\) −0.637896 + 0.378380i −0.0364661 + 0.0216305i
\(307\) 11.3989 21.3259i 0.650570 1.21713i −0.313019 0.949747i \(-0.601340\pi\)
0.963590 0.267385i \(-0.0861595\pi\)
\(308\) −5.70906 + 1.08134i −0.325304 + 0.0616150i
\(309\) 9.66225 11.7735i 0.549666 0.669770i
\(310\) −14.2991 13.0797i −0.812135 0.742880i
\(311\) −1.80796 + 9.08925i −0.102520 + 0.515404i 0.895064 + 0.445937i \(0.147130\pi\)
−0.997584 + 0.0694663i \(0.977870\pi\)
\(312\) 3.86500 10.3513i 0.218813 0.586030i
\(313\) −14.3359 + 2.85159i −0.810313 + 0.161181i −0.582823 0.812599i \(-0.698052\pi\)
−0.227490 + 0.973780i \(0.573052\pi\)
\(314\) 1.15884 + 4.71790i 0.0653969 + 0.266247i
\(315\) 12.2602 6.55320i 0.690782 0.369231i
\(316\) 16.7304 + 9.14056i 0.941156 + 0.514197i
\(317\) −0.207362 + 2.10538i −0.0116466 + 0.118250i −0.999250 0.0387191i \(-0.987672\pi\)
0.987604 + 0.156969i \(0.0501722\pi\)
\(318\) 1.05500 0.372045i 0.0591616 0.0208632i
\(319\) 2.48739i 0.139267i
\(320\) 17.7457 + 12.5760i 0.992014 + 0.703020i
\(321\) 2.30723i 0.128777i
\(322\) −12.8390 36.4074i −0.715488 2.02890i
\(323\) −0.262890 + 2.66917i −0.0146276 + 0.148516i
\(324\) 0.563015 + 1.91912i 0.0312786 + 0.106618i
\(325\) −8.23986 + 4.40429i −0.457065 + 0.244306i
\(326\) −2.82588 + 0.694106i −0.156511 + 0.0384430i
\(327\) −13.2552 + 2.63663i −0.733016 + 0.145806i
\(328\) 17.6063 18.8971i 0.972144 1.04342i
\(329\) −5.20095 + 26.1469i −0.286738 + 1.44153i
\(330\) −1.47451 + 1.61197i −0.0811689 + 0.0887359i
\(331\) −8.40419 + 10.2405i −0.461936 + 0.562870i −0.950926 0.309419i \(-0.899865\pi\)
0.488990 + 0.872289i \(0.337365\pi\)
\(332\) −6.77600 + 9.94263i −0.371881 + 0.545673i
\(333\) 1.45095 2.71453i 0.0795114 0.148755i
\(334\) 13.6316 + 22.9810i 0.745888 + 1.25746i
\(335\) −33.0114 + 13.6738i −1.80360 + 0.747078i
\(336\) 20.3143 + 2.37726i 1.10824 + 0.129690i
\(337\) −18.8954 7.82674i −1.02930 0.426350i −0.196840 0.980436i \(-0.563068\pi\)
−0.832459 + 0.554086i \(0.813068\pi\)
\(338\) 0.454702 + 3.16516i 0.0247325 + 0.172162i
\(339\) 2.36641 + 7.80102i 0.128526 + 0.423693i
\(340\) 1.99788 + 2.03482i 0.108350 + 0.110354i
\(341\) 2.84998 0.280698i 0.154335 0.0152007i
\(342\) 6.79848 + 2.46772i 0.367620 + 0.133439i
\(343\) −34.5016 51.6354i −1.86291 2.78805i
\(344\) −9.80829 28.6472i −0.528828 1.54455i
\(345\) −12.0684 8.06382i −0.649738 0.434141i
\(346\) 3.39917 22.2139i 0.182740 1.19423i
\(347\) −7.96942 + 26.2716i −0.427821 + 1.41034i 0.432985 + 0.901401i \(0.357460\pi\)
−0.860805 + 0.508934i \(0.830040\pi\)
\(348\) −2.61823 + 8.35487i −0.140352 + 0.447868i
\(349\) −1.44649 + 1.18710i −0.0774287 + 0.0635441i −0.672312 0.740268i \(-0.734698\pi\)
0.594883 + 0.803812i \(0.297198\pi\)
\(350\) −11.5555 12.8674i −0.617666 0.687794i
\(351\) −2.76234 2.76234i −0.147443 0.147443i
\(352\) −3.13490 + 0.709383i −0.167091 + 0.0378102i
\(353\) 15.6088 15.6088i 0.830774 0.830774i −0.156849 0.987623i \(-0.550133\pi\)
0.987623 + 0.156849i \(0.0501335\pi\)
\(354\) −15.5196 0.833692i −0.824855 0.0443102i
\(355\) −18.3567 22.3676i −0.974270 1.18715i
\(356\) −0.383095 4.29234i −0.0203040 0.227494i
\(357\) 2.56614 + 0.778429i 0.135814 + 0.0411988i
\(358\) −11.0649 + 8.12803i −0.584800 + 0.429580i
\(359\) 11.5121 17.2290i 0.607584 0.909314i −0.392361 0.919811i \(-0.628341\pi\)
0.999945 + 0.0104974i \(0.00334148\pi\)
\(360\) 6.64946 3.86236i 0.350457 0.203564i
\(361\) 5.94873 3.97482i 0.313091 0.209201i
\(362\) 22.2721 10.4094i 1.17060 0.547105i
\(363\) 1.04654 + 10.6257i 0.0549294 + 0.557707i
\(364\) −37.0476 + 14.9496i −1.94182 + 0.783570i
\(365\) 4.66207 1.41422i 0.244024 0.0740238i
\(366\) 0.663594 0.886241i 0.0346866 0.0463246i
\(367\) −2.69263 + 6.50058i −0.140554 + 0.339327i −0.978444 0.206511i \(-0.933789\pi\)
0.837890 + 0.545839i \(0.183789\pi\)
\(368\) −7.80927 19.8754i −0.407086 1.03608i
\(369\) −3.49450 8.43646i −0.181916 0.439185i
\(370\) −11.4666 2.92810i −0.596119 0.152225i
\(371\) −3.56712 1.90666i −0.185195 0.0989890i
\(372\) −9.86822 2.05705i −0.511643 0.106653i
\(373\) 1.28913 + 1.05796i 0.0667487 + 0.0547792i 0.667176 0.744900i \(-0.267503\pi\)
−0.600427 + 0.799679i \(0.705003\pi\)
\(374\) −0.420994 + 0.0187498i −0.0217691 + 0.000969529i
\(375\) 6.95522 + 1.38348i 0.359166 + 0.0714426i
\(376\) −2.36401 + 14.5560i −0.121914 + 0.750670i
\(377\) −3.33641 16.7733i −0.171834 0.863868i
\(378\) 3.74595 6.18533i 0.192671 0.318139i
\(379\) 0.586681 + 1.09760i 0.0301358 + 0.0563800i 0.896538 0.442966i \(-0.146074\pi\)
−0.866403 + 0.499346i \(0.833574\pi\)
\(380\) 2.97906 27.6482i 0.152822 1.41832i
\(381\) 14.8653 + 1.46411i 0.761574 + 0.0750085i
\(382\) −5.20230 + 10.8703i −0.266173 + 0.556171i
\(383\) 33.1751 1.69517 0.847584 0.530662i \(-0.178056\pi\)
0.847584 + 0.530662i \(0.178056\pi\)
\(384\) 11.2765 + 0.917058i 0.575450 + 0.0467984i
\(385\) 7.89876 0.402558
\(386\) −2.16330 + 4.52023i −0.110109 + 0.230074i
\(387\) −10.6540 1.04932i −0.541572 0.0533402i
\(388\) 24.1711 + 2.60440i 1.22710 + 0.132219i
\(389\) −15.8440 29.6420i −0.803322 1.50291i −0.863289 0.504710i \(-0.831599\pi\)
0.0599663 0.998200i \(-0.480901\pi\)
\(390\) −7.78089 + 12.8478i −0.394001 + 0.650575i
\(391\) −0.546218 2.74602i −0.0276234 0.138872i
\(392\) −31.6570 43.9334i −1.59892 2.21897i
\(393\) 16.8449 + 3.35067i 0.849715 + 0.169019i
\(394\) −7.29810 + 0.325035i −0.367673 + 0.0163750i
\(395\) −20.0332 16.4409i −1.00798 0.827229i
\(396\) −0.231896 + 1.11246i −0.0116532 + 0.0559034i
\(397\) −2.31738 1.23866i −0.116306 0.0621668i 0.412218 0.911085i \(-0.364754\pi\)
−0.528524 + 0.848919i \(0.677254\pi\)
\(398\) 10.3993 + 2.65556i 0.521270 + 0.133111i
\(399\) −10.0071 24.1593i −0.500982 1.20948i
\(400\) −6.63955 6.88738i −0.331977 0.344369i
\(401\) 9.39909 22.6914i 0.469368 1.13315i −0.495072 0.868852i \(-0.664858\pi\)
0.964440 0.264302i \(-0.0851417\pi\)
\(402\) −11.1401 + 14.8778i −0.555618 + 0.742037i
\(403\) 18.8418 5.71560i 0.938577 0.284714i
\(404\) 3.54132 + 8.77602i 0.176187 + 0.436623i
\(405\) −0.266485 2.70567i −0.0132417 0.134446i
\(406\) 28.6788 13.4037i 1.42331 0.665214i
\(407\) 1.45413 0.971620i 0.0720787 0.0481614i
\(408\) 1.43381 + 0.380160i 0.0709841 + 0.0188207i
\(409\) −11.0806 + 16.5833i −0.547900 + 0.819990i −0.997307 0.0733369i \(-0.976635\pi\)
0.449407 + 0.893327i \(0.351635\pi\)
\(410\) −28.2961 + 20.7856i −1.39744 + 1.02653i
\(411\) −16.1928 4.91203i −0.798731 0.242292i
\(412\) −30.3408 + 2.70794i −1.49478 + 0.133411i
\(413\) 35.6488 + 43.4382i 1.75416 + 2.13745i
\(414\) −7.53911 0.404992i −0.370527 0.0199043i
\(415\) 11.5655 11.5655i 0.567729 0.567729i
\(416\) −20.1881 + 8.98854i −0.989805 + 0.440699i
\(417\) 6.48518 + 6.48518i 0.317581 + 0.317581i
\(418\) 2.74574 + 3.05749i 0.134299 + 0.149547i
\(419\) −22.0952 + 18.1331i −1.07942 + 0.885858i −0.993879 0.110476i \(-0.964762\pi\)
−0.0855429 + 0.996334i \(0.527262\pi\)
\(420\) −26.5311 8.31424i −1.29458 0.405693i
\(421\) 1.55965 5.14148i 0.0760128 0.250580i −0.910697 0.413076i \(-0.864454\pi\)
0.986709 + 0.162496i \(0.0519543\pi\)
\(422\) 4.25465 27.8045i 0.207113 1.35350i
\(423\) 4.33508 + 2.89661i 0.210779 + 0.140838i
\(424\) −2.00922 0.984293i −0.0975763 0.0478015i
\(425\) −0.696843 1.04290i −0.0338019 0.0505881i
\(426\) −14.1483 5.13554i −0.685486 0.248818i
\(427\) −3.98374 + 0.392364i −0.192787 + 0.0189878i
\(428\) −3.29266 + 3.23289i −0.159157 + 0.156268i
\(429\) −0.644331 2.12408i −0.0311086 0.102551i
\(430\) 5.85314 + 40.7434i 0.282264 + 1.96482i
\(431\) −26.1789 10.8437i −1.26100 0.522321i −0.350781 0.936458i \(-0.614084\pi\)
−0.910215 + 0.414136i \(0.864084\pi\)
\(432\) 1.94989 3.49255i 0.0938142 0.168036i
\(433\) 32.2616 13.3632i 1.55039 0.642194i 0.567006 0.823714i \(-0.308102\pi\)
0.983387 + 0.181520i \(0.0581016\pi\)
\(434\) 18.5939 + 31.3467i 0.892535 + 1.50469i
\(435\) 5.61059 10.4967i 0.269007 0.503277i
\(436\) 22.3360 + 15.2222i 1.06970 + 0.729011i
\(437\) −17.3206 + 21.1052i −0.828556 + 1.00960i
\(438\) 1.71044 1.86989i 0.0817278 0.0893469i
\(439\) 0.461478 2.32001i 0.0220251 0.110728i −0.968209 0.250143i \(-0.919522\pi\)
0.990234 + 0.139415i \(0.0445223\pi\)
\(440\) 4.36653 0.154412i 0.208166 0.00736130i
\(441\) −18.7773 + 3.73504i −0.894159 + 0.177859i
\(442\) −2.81375 + 0.691129i −0.133837 + 0.0328736i
\(443\) −5.59019 + 2.98802i −0.265598 + 0.141965i −0.598821 0.800883i \(-0.704364\pi\)
0.333223 + 0.942848i \(0.391864\pi\)
\(444\) −5.90700 + 1.73295i −0.280334 + 0.0822420i
\(445\) −0.574195 + 5.82990i −0.0272195 + 0.276364i
\(446\) −5.96002 16.9008i −0.282215 0.800274i
\(447\) 16.8845i 0.798610i
\(448\) −25.0718 32.3218i −1.18453 1.52706i
\(449\) 5.78325i 0.272928i 0.990645 + 0.136464i \(0.0435738\pi\)
−0.990645 + 0.136464i \(0.956426\pi\)
\(450\) −3.18977 + 1.12487i −0.150367 + 0.0530267i
\(451\) 0.508557 5.16346i 0.0239470 0.243138i
\(452\) 7.81708 14.3079i 0.367684 0.672988i
\(453\) 12.8153 6.84992i 0.602115 0.321837i
\(454\) −4.76764 19.4102i −0.223756 0.910967i
\(455\) 53.2639 10.5949i 2.49705 0.496694i
\(456\) −6.00434 13.1599i −0.281179 0.616270i
\(457\) −3.47141 + 17.4519i −0.162386 + 0.816367i 0.810618 + 0.585576i \(0.199131\pi\)
−0.973003 + 0.230791i \(0.925869\pi\)
\(458\) 8.36641 + 7.65296i 0.390937 + 0.357599i
\(459\) 0.332704 0.405401i 0.0155293 0.0189225i
\(460\) 5.40225 + 28.5219i 0.251881 + 1.32984i
\(461\) −5.75200 + 10.7612i −0.267897 + 0.501201i −0.979516 0.201365i \(-0.935462\pi\)
0.711619 + 0.702566i \(0.247962\pi\)
\(462\) 3.53378 2.09613i 0.164406 0.0975207i
\(463\) 16.2832 6.74473i 0.756745 0.313454i 0.0292546 0.999572i \(-0.490687\pi\)
0.727490 + 0.686118i \(0.240687\pi\)
\(464\) 15.5920 7.97036i 0.723839 0.370015i
\(465\) 12.6599 + 5.24391i 0.587090 + 0.243181i
\(466\) 1.25845 0.180787i 0.0582967 0.00837481i
\(467\) −7.46526 24.6097i −0.345451 1.13880i −0.941828 0.336095i \(-0.890894\pi\)
0.596377 0.802704i \(-0.296606\pi\)
\(468\) −0.0715644 + 7.81276i −0.00330807 + 0.361145i
\(469\) 66.8771 6.58682i 3.08810 0.304151i
\(470\) 6.83980 18.8435i 0.315497 0.869184i
\(471\) −1.90851 2.85628i −0.0879394 0.131611i
\(472\) 20.5562 + 23.3163i 0.946178 + 1.07322i
\(473\) −5.05763 3.37940i −0.232550 0.155385i
\(474\) −13.3255 2.03907i −0.612061 0.0936575i
\(475\) −3.55054 + 11.7046i −0.162910 + 0.537042i
\(476\) −2.48477 4.75289i −0.113889 0.217848i
\(477\) −0.611472 + 0.501822i −0.0279974 + 0.0229769i
\(478\) −16.5727 + 14.8829i −0.758015 + 0.680728i
\(479\) −11.2023 11.2023i −0.511844 0.511844i 0.403247 0.915091i \(-0.367882\pi\)
−0.915091 + 0.403247i \(0.867882\pi\)
\(480\) −14.8292 4.07756i −0.676859 0.186114i
\(481\) 8.50243 8.50243i 0.387677 0.387677i
\(482\) 0.222008 4.13279i 0.0101122 0.188243i
\(483\) 17.3175 + 21.1015i 0.787974 + 0.960149i
\(484\) 13.6977 16.3823i 0.622621 0.744652i
\(485\) −31.6249 9.59330i −1.43601 0.435609i
\(486\) −0.837235 1.13975i −0.0379777 0.0517003i
\(487\) −20.7766 + 31.0944i −0.941479 + 1.40902i −0.0291454 + 0.999575i \(0.509279\pi\)
−0.912334 + 0.409448i \(0.865721\pi\)
\(488\) −2.19459 + 0.294781i −0.0993444 + 0.0133441i
\(489\) 1.71082 1.14314i 0.0773661 0.0516944i
\(490\) 31.1679 + 66.6874i 1.40802 + 3.01263i
\(491\) 3.13113 + 31.7909i 0.141306 + 1.43470i 0.760436 + 0.649413i \(0.224985\pi\)
−0.619130 + 0.785288i \(0.712515\pi\)
\(492\) −7.14325 + 16.8082i −0.322042 + 0.757772i
\(493\) 2.19703 0.666461i 0.0989491 0.0300159i
\(494\) 22.6165 + 16.9347i 1.01757 + 0.761927i
\(495\) 0.591157 1.42718i 0.0265705 0.0641469i
\(496\) 10.8917 + 16.9654i 0.489053 + 0.761767i
\(497\) 20.8257 + 50.2777i 0.934161 + 2.25526i
\(498\) 2.10504 8.24342i 0.0943290 0.369396i
\(499\) 16.3568 + 8.74288i 0.732230 + 0.391385i 0.794973 0.606645i \(-0.207485\pi\)
−0.0627432 + 0.998030i \(0.519985\pi\)
\(500\) −7.77128 11.8644i −0.347542 0.530591i
\(501\) −14.6050 11.9861i −0.652505 0.535497i
\(502\) −0.927211 20.8189i −0.0413835 0.929194i
\(503\) −17.6773 3.51623i −0.788191 0.156781i −0.215448 0.976515i \(-0.569121\pi\)
−0.572744 + 0.819734i \(0.694121\pi\)
\(504\) −14.0760 + 3.32100i −0.626993 + 0.147929i
\(505\) −2.50976 12.6174i −0.111683 0.561468i
\(506\) −3.66936 2.22223i −0.163123 0.0987903i
\(507\) −1.06587 1.99410i −0.0473368 0.0885609i
\(508\) −18.7399 23.2660i −0.831448 1.03226i
\(509\) −21.9906 2.16589i −0.974718 0.0960013i −0.401900 0.915684i \(-0.631650\pi\)
−0.572818 + 0.819682i \(0.694150\pi\)
\(510\) −1.81887 0.870477i −0.0805409 0.0385454i
\(511\) −9.16261 −0.405330
\(512\) −14.4919 17.3777i −0.640456 0.767995i
\(513\) −5.11415 −0.225795
\(514\) 17.0014 + 8.13656i 0.749900 + 0.358888i
\(515\) 41.2092 + 4.05875i 1.81589 + 0.178850i
\(516\) 13.4309 + 16.6747i 0.591260 + 0.734062i
\(517\) 1.39647 + 2.61260i 0.0614165 + 0.114902i
\(518\) 19.0383 + 11.5300i 0.836494 + 0.506597i
\(519\) 3.10007 + 15.5851i 0.136078 + 0.684110i
\(520\) 29.2378 6.89821i 1.28216 0.302507i
\(521\) −26.6839 5.30775i −1.16904 0.232537i −0.427862 0.903844i \(-0.640733\pi\)
−0.741179 + 0.671307i \(0.765733\pi\)
\(522\) −0.275459 6.18495i −0.0120565 0.270708i
\(523\) 10.3429 + 8.48817i 0.452262 + 0.371162i 0.832773 0.553615i \(-0.186752\pi\)
−0.380511 + 0.924776i \(0.624252\pi\)
\(524\) −18.8214 28.7345i −0.822216 1.25527i
\(525\) 10.7851 + 5.76474i 0.470699 + 0.251594i
\(526\) −7.36282 + 28.8331i −0.321034 + 1.25718i
\(527\) 1.01154 + 2.44208i 0.0440634 + 0.106379i
\(528\) 1.91254 1.22785i 0.0832326 0.0534351i
\(529\) 2.10519 5.08237i 0.0915299 0.220973i
\(530\) 2.43457 + 1.82294i 0.105751 + 0.0791836i
\(531\) 10.5166 3.19017i 0.456381 0.138442i
\(532\) −20.4560 + 48.1333i −0.886878 + 2.08684i
\(533\) −3.49655 35.5011i −0.151452 1.53772i
\(534\) 1.29022 + 2.76058i 0.0558333 + 0.119462i
\(535\) 5.21564 3.48498i 0.225492 0.150669i
\(536\) 36.8417 4.94865i 1.59132 0.213749i
\(537\) 5.39358 8.07206i 0.232750 0.348335i
\(538\) −6.50802 8.85956i −0.280580 0.381963i
\(539\) −10.4097 3.15774i −0.448377 0.136014i
\(540\) −3.48788 + 4.17148i −0.150094 + 0.179512i
\(541\) −9.51728 11.5968i −0.409180 0.498587i 0.527119 0.849791i \(-0.323272\pi\)
−0.936299 + 0.351204i \(0.885772\pi\)
\(542\) −1.33827 + 24.9126i −0.0574838 + 1.07009i
\(543\) −12.2923 + 12.2923i −0.527513 + 0.527513i
\(544\) −1.46653 2.57888i −0.0628767 0.110569i
\(545\) −25.9818 25.9818i −1.11294 1.11294i
\(546\) 21.0178 18.8748i 0.899480 0.807768i
\(547\) −31.4446 + 25.8059i −1.34447 + 1.10338i −0.359041 + 0.933322i \(0.616896\pi\)
−0.985434 + 0.170060i \(0.945604\pi\)
\(548\) 15.6793 + 29.9916i 0.669788 + 1.28118i
\(549\) −0.227256 + 0.749163i −0.00969905 + 0.0319735i
\(550\) −1.89967 0.290688i −0.0810023 0.0123950i
\(551\) −18.6153 12.4384i −0.793040 0.529893i
\(552\) 9.98584 + 11.3266i 0.425026 + 0.482092i
\(553\) 27.0788 + 40.5263i 1.15151 + 1.72336i
\(554\) −3.06633 + 8.44766i −0.130276 + 0.358907i
\(555\) 8.32798 0.820234i 0.353503 0.0348170i
\(556\) 0.168012 18.3421i 0.00712531 0.777878i
\(557\) 12.5094 + 41.2380i 0.530041 + 1.74731i 0.655483 + 0.755210i \(0.272465\pi\)
−0.125442 + 0.992101i \(0.540035\pi\)
\(558\) 7.05544 1.01357i 0.298681 0.0429080i
\(559\) −38.6381 16.0044i −1.63422 0.676915i
\(560\) 25.3100 + 49.5126i 1.06954 + 2.09229i
\(561\) 0.275300 0.114033i 0.0116232 0.00481448i
\(562\) −22.6183 + 13.4165i −0.954095 + 0.565940i
\(563\) −0.569141 + 1.06479i −0.0239865 + 0.0448755i −0.893629 0.448806i \(-0.851849\pi\)
0.869643 + 0.493682i \(0.164349\pi\)
\(564\) −1.94055 10.2454i −0.0817118 0.431408i
\(565\) −14.0603 + 17.1326i −0.591523 + 0.720773i
\(566\) 3.46354 + 3.16818i 0.145583 + 0.133168i
\(567\) −0.997543 + 5.01499i −0.0418929 + 0.210610i
\(568\) 12.4956 + 27.3870i 0.524303 + 1.14913i
\(569\) 10.3008 2.04895i 0.431831 0.0858966i 0.0256114 0.999672i \(-0.491847\pi\)
0.406220 + 0.913775i \(0.366847\pi\)
\(570\) 4.69041 + 19.0958i 0.196460 + 0.799835i
\(571\) 0.122852 0.0656659i 0.00514121 0.00274803i −0.468824 0.883292i \(-0.655322\pi\)
0.473965 + 0.880544i \(0.342822\pi\)
\(572\) −2.12845 + 3.89579i −0.0889949 + 0.162891i
\(573\) 0.835237 8.48030i 0.0348925 0.354270i
\(574\) 62.2735 21.9606i 2.59924 0.916618i
\(575\) 12.7682i 0.532469i
\(576\) −7.71644 + 2.11106i −0.321518 + 0.0879609i
\(577\) 9.62647i 0.400755i −0.979719 0.200378i \(-0.935783\pi\)
0.979719 0.200378i \(-0.0642169\pi\)
\(578\) 7.86627 + 22.3063i 0.327194 + 0.927819i
\(579\) 0.347321 3.52640i 0.0144341 0.146552i
\(580\) −22.8415 + 6.70104i −0.948440 + 0.278245i
\(581\) −27.1291 + 14.5008i −1.12550 + 0.601595i
\(582\) −16.6943 + 4.10053i −0.692000 + 0.169973i
\(583\) −0.440816 + 0.0876838i −0.0182567 + 0.00363149i
\(584\) −5.06520 + 0.179119i −0.209600 + 0.00741198i
\(585\) 2.07204 10.4169i 0.0856685 0.430685i
\(586\) 17.4094 19.0324i 0.719177 0.786223i
\(587\) 15.1265 18.4316i 0.624336 0.760755i −0.360780 0.932651i \(-0.617489\pi\)
0.985115 + 0.171896i \(0.0549893\pi\)
\(588\) 31.6411 + 21.5637i 1.30486 + 0.889273i
\(589\) 12.1508 22.7325i 0.500665 0.936678i
\(590\) −21.5571 36.3422i −0.887491 1.49619i
\(591\) 4.77244 1.97681i 0.196312 0.0813150i
\(592\) 10.7500 + 6.00172i 0.441822 + 0.246669i
\(593\) −3.52898 1.46175i −0.144918 0.0600269i 0.309046 0.951047i \(-0.399990\pi\)
−0.453964 + 0.891020i \(0.649990\pi\)
\(594\) −0.114262 0.795374i −0.00468824 0.0326346i
\(595\) 2.11636 + 6.97671i 0.0867623 + 0.286017i
\(596\) −24.0960 + 23.6586i −0.987011 + 0.969094i
\(597\) −7.55284 + 0.743890i −0.309117 + 0.0304454i
\(598\) −27.7244 10.0634i −1.13374 0.411524i
\(599\) −1.87920 2.81242i −0.0767821 0.114913i 0.791091 0.611698i \(-0.209513\pi\)
−0.867873 + 0.496786i \(0.834513\pi\)
\(600\) 6.07481 + 2.97598i 0.248003 + 0.121494i
\(601\) 19.2711 + 12.8766i 0.786086 + 0.525246i 0.882622 0.470083i \(-0.155776\pi\)
−0.0965357 + 0.995330i \(0.530776\pi\)
\(602\) 11.7096 76.5232i 0.477246 3.11885i
\(603\) 3.81506 12.5766i 0.155361 0.512158i
\(604\) −27.7324 8.69070i −1.12841 0.353619i
\(605\) −22.4394 + 18.4156i −0.912293 + 0.748699i
\(606\) −4.47116 4.97880i −0.181628 0.202250i
\(607\) 24.2831 + 24.2831i 0.985620 + 0.985620i 0.999898 0.0142778i \(-0.00454493\pi\)
−0.0142778 + 0.999898i \(0.504545\pi\)
\(608\) −10.3674 + 27.0085i −0.420452 + 1.09534i
\(609\) −15.8282 + 15.8282i −0.641393 + 0.641393i
\(610\) 3.00574 + 0.161465i 0.121699 + 0.00653752i
\(611\) 12.9212 + 15.7445i 0.522735 + 0.636955i
\(612\) −1.04473 + 0.0932436i −0.0422309 + 0.00376915i
\(613\) −38.5560 11.6958i −1.55726 0.472390i −0.609879 0.792495i \(-0.708782\pi\)
−0.947382 + 0.320105i \(0.896282\pi\)
\(614\) 27.5605 20.2453i 1.11225 0.817034i
\(615\) 13.7929 20.6425i 0.556182 0.832385i
\(616\) −7.94293 2.10599i −0.320030 0.0848527i
\(617\) 16.2110 10.8319i 0.652631 0.436074i −0.184681 0.982798i \(-0.559125\pi\)
0.837313 + 0.546724i \(0.184125\pi\)
\(618\) 19.5134 9.12003i 0.784945 0.366862i
\(619\) 1.12330 + 11.4051i 0.0451494 + 0.458410i 0.991005 + 0.133823i \(0.0427253\pi\)
−0.945856 + 0.324587i \(0.894775\pi\)
\(620\) −10.2555 25.4148i −0.411869 1.02068i
\(621\) 5.10876 1.54973i 0.205008 0.0621884i
\(622\) −7.85534 + 10.4909i −0.314970 + 0.420648i
\(623\) 4.21621 10.1788i 0.168919 0.407807i
\(624\) 11.2499 10.8451i 0.450357 0.434152i
\(625\) 11.9544 + 28.8604i 0.478175 + 1.15442i
\(626\) −20.0285 5.11448i −0.800501 0.204416i
\(627\) −2.56269 1.36978i −0.102344 0.0547039i
\(628\) −1.40202 + 6.72587i −0.0559468 + 0.268392i
\(629\) 1.24781 + 1.02405i 0.0497536 + 0.0408317i
\(630\) 19.6404 0.874726i 0.782494 0.0348499i
\(631\) −39.3222 7.82167i −1.56539 0.311376i −0.665131 0.746727i \(-0.731624\pi\)
−0.900261 + 0.435351i \(0.856624\pi\)
\(632\) 15.7618 + 21.8741i 0.626969 + 0.870105i
\(633\) 3.88027 + 19.5075i 0.154227 + 0.775352i
\(634\) −1.54986 + 2.55913i −0.0615528 + 0.101636i
\(635\) 19.1438 + 35.8155i 0.759699 + 1.42130i
\(636\) 1.57295 + 0.169483i 0.0623715 + 0.00672044i
\(637\) −74.4314 7.33086i −2.94908 0.290459i
\(638\) 1.51856 3.17304i 0.0601203 0.125622i
\(639\) 10.6430 0.421031
\(640\) 14.9596 + 26.8764i 0.591331 + 1.06238i
\(641\) 43.4247 1.71517 0.857586 0.514341i \(-0.171963\pi\)
0.857586 + 0.514341i \(0.171963\pi\)
\(642\) 1.40857 2.94322i 0.0555918 0.116160i
\(643\) 25.6789 + 2.52916i 1.01268 + 0.0997402i 0.590721 0.806876i \(-0.298843\pi\)
0.421957 + 0.906616i \(0.361343\pi\)
\(644\) 5.84873 54.2813i 0.230472 2.13898i
\(645\) −13.7203 25.6690i −0.540238 1.01071i
\(646\) −1.96489 + 3.24443i −0.0773076 + 0.127650i
\(647\) 1.82675 + 9.18369i 0.0718169 + 0.361048i 0.999937 0.0112331i \(-0.00357568\pi\)
−0.928120 + 0.372281i \(0.878576\pi\)
\(648\) −0.453417 + 2.79185i −0.0178119 + 0.109674i
\(649\) 6.12430 + 1.21820i 0.240400 + 0.0478185i
\(650\) −13.2000 + 0.587889i −0.517747 + 0.0230589i
\(651\) −19.9217 16.3493i −0.780793 0.640780i
\(652\) −4.02859 0.839767i −0.157772 0.0328878i
\(653\) −22.0645 11.7937i −0.863452 0.461525i −0.0206741 0.999786i \(-0.506581\pi\)
−0.842778 + 0.538262i \(0.819081\pi\)
\(654\) −18.5187 4.72894i −0.724139 0.184916i
\(655\) 17.8692 + 43.1401i 0.698209 + 1.68562i
\(656\) 33.9962 13.3575i 1.32733 0.521522i
\(657\) −0.685745 + 1.65554i −0.0267535 + 0.0645886i
\(658\) −22.5974 + 30.1792i −0.880938 + 1.17651i
\(659\) 1.29856 0.393914i 0.0505847 0.0153447i −0.264891 0.964278i \(-0.585336\pi\)
0.315476 + 0.948934i \(0.397836\pi\)
\(660\) −2.86507 + 1.15612i −0.111523 + 0.0450019i
\(661\) 0.113501 + 1.15239i 0.00441466 + 0.0448228i 0.997140 0.0755809i \(-0.0240811\pi\)
−0.992725 + 0.120404i \(0.961581\pi\)
\(662\) −16.9727 + 7.93257i −0.659662 + 0.308308i
\(663\) 1.70348 1.13823i 0.0661578 0.0442053i
\(664\) −14.7138 + 8.54657i −0.571007 + 0.331671i
\(665\) 39.4983 59.1134i 1.53168 2.29232i
\(666\) 3.50813 2.57699i 0.135937 0.0998563i
\(667\) 22.3649 + 6.78432i 0.865973 + 0.262690i
\(668\) 3.35921 + 37.6378i 0.129972 + 1.45625i
\(669\) 8.03901 + 9.79556i 0.310806 + 0.378718i
\(670\) −50.4589 2.71059i −1.94940 0.104719i
\(671\) −0.314535 + 0.314535i −0.0121425 + 0.0121425i
\(672\) 24.4627 + 15.4345i 0.943668 + 0.595399i
\(673\) 16.8752 + 16.8752i 0.650493 + 0.650493i 0.953112 0.302619i \(-0.0978610\pi\)
−0.302619 + 0.953112i \(0.597861\pi\)
\(674\) −19.3257 21.5199i −0.744399 0.828916i
\(675\) 1.84877 1.51725i 0.0711591 0.0583988i
\(676\) −1.35230 + 4.31523i −0.0520114 + 0.165971i
\(677\) −14.0259 + 46.2372i −0.539059 + 1.77704i 0.0858138 + 0.996311i \(0.472651\pi\)
−0.624872 + 0.780727i \(0.714849\pi\)
\(678\) −1.74383 + 11.3961i −0.0669713 + 0.437664i
\(679\) 51.6792 + 34.5309i 1.98326 + 1.32518i
\(680\) 1.30634 + 3.81544i 0.0500957 + 0.146315i
\(681\) 7.85191 + 11.7512i 0.300886 + 0.450307i
\(682\) 3.80694 + 1.38185i 0.145775 + 0.0529136i
\(683\) −20.2974 + 1.99912i −0.776658 + 0.0764941i −0.478576 0.878046i \(-0.658847\pi\)
−0.298082 + 0.954540i \(0.596347\pi\)
\(684\) 7.16594 + 7.29844i 0.273997 + 0.279063i
\(685\) −13.3546 44.0243i −0.510254 1.68208i
\(686\) −12.4885 86.9321i −0.476814 3.31908i
\(687\) −7.40732 3.06821i −0.282607 0.117060i
\(688\) 4.97725 42.5318i 0.189756 1.62151i
\(689\) −2.85496 + 1.18256i −0.108765 + 0.0450520i
\(690\) −10.4720 17.6544i −0.398663 0.672091i
\(691\) −6.46334 + 12.0921i −0.245877 + 0.460004i −0.974340 0.225082i \(-0.927735\pi\)
0.728463 + 0.685085i \(0.240235\pi\)
\(692\) 17.8978 26.2620i 0.680373 0.998331i
\(693\) −1.84309 + 2.24581i −0.0700133 + 0.0853114i
\(694\) −26.2051 + 28.6481i −0.994732 + 1.08747i
\(695\) −4.86456 + 24.4558i −0.184523 + 0.927660i
\(696\) −8.44062 + 9.05947i −0.319941 + 0.343398i
\(697\) 4.69697 0.934286i 0.177910 0.0353886i
\(698\) −2.56994 + 0.631243i −0.0972738 + 0.0238929i
\(699\) −0.792843 + 0.423784i −0.0299881 + 0.0160290i
\(700\) −6.88514 23.4690i −0.260234 0.887045i
\(701\) −3.86005 + 39.1918i −0.145792 + 1.48025i 0.592390 + 0.805652i \(0.298185\pi\)
−0.738182 + 0.674602i \(0.764315\pi\)
\(702\) −1.83737 5.21021i −0.0693470 0.196647i
\(703\) 15.7412i 0.593691i
\(704\) −4.43212 1.00894i −0.167042 0.0380259i
\(705\) 14.1750i 0.533860i
\(706\) 29.4407 10.3822i 1.10801 0.390739i
\(707\) −2.37150 + 24.0783i −0.0891896 + 0.905557i
\(708\) −19.2886 10.5382i −0.724909 0.396051i
\(709\) 16.3700 8.74995i 0.614789 0.328611i −0.134441 0.990922i \(-0.542924\pi\)
0.749230 + 0.662310i \(0.230424\pi\)
\(710\) −9.76118 39.7401i −0.366330 1.49142i
\(711\) 9.34908 1.85965i 0.350618 0.0697423i
\(712\) 2.13179 5.70941i 0.0798922 0.213969i
\(713\) −5.24943 + 26.3906i −0.196593 + 0.988337i
\(714\) 2.79826 + 2.55964i 0.104722 + 0.0957921i
\(715\) 3.82837 4.66489i 0.143173 0.174457i
\(716\) −19.0772 + 3.61336i −0.712948 + 0.135038i
\(717\) 7.42471 13.8907i 0.277281 0.518756i
\(718\) 25.2038 14.9501i 0.940597 0.557933i
\(719\) −6.76249 + 2.80112i −0.252198 + 0.104464i −0.505201 0.863002i \(-0.668582\pi\)
0.253003 + 0.967466i \(0.418582\pi\)
\(720\) 10.8404 0.867507i 0.403997 0.0323301i
\(721\) −71.9501 29.8027i −2.67956 1.10991i
\(722\) 10.0151 1.43876i 0.372725 0.0535452i
\(723\) 0.849529 + 2.80052i 0.0315943 + 0.104152i
\(724\) 34.7664 + 0.318458i 1.29208 + 0.0118354i
\(725\) 10.4196 1.02624i 0.386975 0.0381138i
\(726\) −5.15202 + 14.1937i −0.191210 + 0.526776i
\(727\) −2.09070 3.12895i −0.0775396 0.116046i 0.790673 0.612239i \(-0.209731\pi\)
−0.868212 + 0.496193i \(0.834731\pi\)
\(728\) −56.3866 3.54727i −2.08983 0.131470i
\(729\) 0.831470 + 0.555570i 0.0307952 + 0.0205767i
\(730\) 6.81056 + 1.04215i 0.252070 + 0.0385717i
\(731\) 1.62979 5.37269i 0.0602799 0.198716i
\(732\) 1.38757 0.725409i 0.0512860 0.0268119i
\(733\) 24.2611 19.9106i 0.896104 0.735414i −0.0689067 0.997623i \(-0.521951\pi\)
0.965011 + 0.262209i \(0.0844511\pi\)
\(734\) −7.40348 + 6.64861i −0.273267 + 0.245405i
\(735\) −36.8057 36.8057i −1.35760 1.35760i
\(736\) 2.17211 30.1217i 0.0800652 1.11030i
\(737\) 5.28026 5.28026i 0.194501 0.194501i
\(738\) 0.692725 12.8954i 0.0254995 0.474686i
\(739\) 23.3058 + 28.3983i 0.857320 + 1.04465i 0.998505 + 0.0546637i \(0.0174087\pi\)
−0.141185 + 0.989983i \(0.545091\pi\)
\(740\) −12.8397 10.7356i −0.471998 0.394649i
\(741\) −19.1184 5.79949i −0.702330 0.213050i
\(742\) −3.38637 4.60997i −0.124318 0.169237i
\(743\) −15.3541 + 22.9791i −0.563288 + 0.843020i −0.998352 0.0573793i \(-0.981726\pi\)
0.435065 + 0.900399i \(0.356726\pi\)
\(744\) −11.3326 8.64866i −0.415472 0.317075i
\(745\) 38.1685 25.5034i 1.39839 0.934372i
\(746\) 0.998592 + 2.13661i 0.0365611 + 0.0782268i
\(747\) 0.589673 + 5.98706i 0.0215750 + 0.219055i
\(748\) −0.548489 0.233100i −0.0200547 0.00852298i
\(749\) −11.2894 + 3.42461i −0.412506 + 0.125132i
\(750\) 8.02782 + 6.01102i 0.293134 + 0.219491i
\(751\) 5.86891 14.1688i 0.214159 0.517027i −0.779895 0.625910i \(-0.784728\pi\)
0.994054 + 0.108884i \(0.0347276\pi\)
\(752\) −11.9021 + 17.1252i −0.434026 + 0.624491i
\(753\) 5.63914 + 13.6141i 0.205502 + 0.496125i
\(754\) 5.98404 23.4338i 0.217926 0.853407i
\(755\) 34.8417 + 18.6233i 1.26802 + 0.677770i
\(756\) 8.55469 5.60340i 0.311131 0.203794i
\(757\) 0.467130 + 0.383364i 0.0169781 + 0.0139336i 0.642844 0.765997i \(-0.277754\pi\)
−0.625866 + 0.779931i \(0.715254\pi\)
\(758\) 0.0783106 + 1.75833i 0.00284437 + 0.0638653i
\(759\) 2.97507 + 0.591778i 0.107988 + 0.0214802i
\(760\) 20.6796 33.4508i 0.750126 1.21339i
\(761\) 5.43639 + 27.3306i 0.197069 + 0.990733i 0.945028 + 0.326988i \(0.106034\pi\)
−0.747959 + 0.663745i \(0.768966\pi\)
\(762\) 18.0691 + 10.9430i 0.654576 + 0.396424i
\(763\) 32.5759 + 60.9452i 1.17933 + 2.20636i
\(764\) −13.2726 + 10.6906i −0.480187 + 0.386774i
\(765\) 1.41897 + 0.139756i 0.0513030 + 0.00505290i
\(766\) 42.3198 + 20.2535i 1.52908 + 0.731788i
\(767\) 42.9322 1.55019
\(768\) 13.8250 + 8.05417i 0.498866 + 0.290630i
\(769\) −40.9276 −1.47589 −0.737944 0.674862i \(-0.764203\pi\)
−0.737944 + 0.674862i \(0.764203\pi\)
\(770\) 10.0761 + 4.82222i 0.363116 + 0.173781i
\(771\) −13.2635 1.30634i −0.477672 0.0470466i
\(772\) −5.51923 + 4.44554i −0.198641 + 0.159998i
\(773\) −8.69440 16.2661i −0.312716 0.585050i 0.675636 0.737235i \(-0.263869\pi\)