Properties

Label 384.2.v.a.229.2
Level $384$
Weight $2$
Character 384.229
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 229.2
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.36711 + 0.361948i) q^{2} +(0.881921 - 0.471397i) q^{3} +(1.73799 - 0.989646i) q^{4} +(-2.41932 - 2.94794i) q^{5} +(-1.03506 + 0.963661i) q^{6} +(-0.0684071 + 0.0457082i) q^{7} +(-2.01782 + 1.98202i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(-1.36711 + 0.361948i) q^{2} +(0.881921 - 0.471397i) q^{3} +(1.73799 - 0.989646i) q^{4} +(-2.41932 - 2.94794i) q^{5} +(-1.03506 + 0.963661i) q^{6} +(-0.0684071 + 0.0457082i) q^{7} +(-2.01782 + 1.98202i) q^{8} +(0.555570 - 0.831470i) q^{9} +(4.37448 + 3.15450i) q^{10} +(0.433093 - 0.131377i) q^{11} +(1.06625 - 1.69207i) q^{12} +(-2.71297 - 2.22648i) q^{13} +(0.0769762 - 0.0872480i) q^{14} +(-3.52330 - 1.45940i) q^{15} +(2.04120 - 3.43999i) q^{16} +(-6.00920 + 2.48909i) q^{17} +(-0.458578 + 1.33780i) q^{18} +(0.162863 + 1.65357i) q^{19} +(-7.12216 - 2.72922i) q^{20} +(-0.0387830 + 0.0725579i) q^{21} +(-0.544534 + 0.336364i) q^{22} +(-1.77580 + 0.353229i) q^{23} +(-0.845244 + 2.69918i) q^{24} +(-1.86184 + 9.36009i) q^{25} +(4.51481 + 2.06189i) q^{26} +(0.0980171 - 0.995185i) q^{27} +(-0.0736558 + 0.147139i) q^{28} +(1.51723 - 5.00165i) q^{29} +(5.34497 + 0.719909i) q^{30} +(-3.65231 - 3.65231i) q^{31} +(-1.54545 + 5.44165i) q^{32} +(0.320023 - 0.320023i) q^{33} +(7.31433 - 5.57788i) q^{34} +(0.300244 + 0.0910779i) q^{35} +(0.142713 - 1.99490i) q^{36} +(4.62773 + 0.455791i) q^{37} +(-0.821159 - 2.20167i) q^{38} +(-3.44218 - 0.684693i) q^{39} +(10.7246 + 1.15330i) q^{40} +(-1.27095 - 6.38951i) q^{41} +(0.0267585 - 0.113232i) q^{42} +(-3.58417 - 1.91578i) q^{43} +(0.622693 - 0.656941i) q^{44} +(-3.79523 + 0.373797i) q^{45} +(2.29987 - 1.12565i) q^{46} +(-3.11894 - 7.52978i) q^{47} +(0.178581 - 3.99601i) q^{48} +(-2.67619 + 6.46090i) q^{49} +(-0.842525 - 13.4702i) q^{50} +(-4.12629 + 5.02790i) q^{51} +(-6.91854 - 1.18471i) q^{52} +(1.05605 + 3.48132i) q^{53} +(0.226205 + 1.39601i) q^{54} +(-1.43508 - 0.958890i) q^{55} +(0.0474390 - 0.227815i) q^{56} +(0.923122 + 1.38155i) q^{57} +(-0.263891 + 7.38698i) q^{58} +(10.5654 - 8.67080i) q^{59} +(-7.56773 + 0.950403i) q^{60} +(-3.48644 - 6.52266i) q^{61} +(6.31506 + 3.67117i) q^{62} +0.0822726i q^{63} +(0.143213 - 7.99872i) q^{64} +13.3842i q^{65} +(-0.321675 + 0.553339i) q^{66} +(-7.45946 - 13.9557i) q^{67} +(-7.98060 + 10.2730i) q^{68} +(-1.39961 + 1.14863i) q^{69} +(-0.443432 - 0.0158411i) q^{70} +(4.59326 + 6.87430i) q^{71} +(0.526945 + 2.77891i) q^{72} +(12.1245 + 8.10136i) q^{73} +(-6.49159 + 1.05188i) q^{74} +(2.77032 + 9.13252i) q^{75} +(1.91951 + 2.71271i) q^{76} +(-0.0236216 + 0.0287830i) q^{77} +(4.95367 - 0.309840i) q^{78} +(2.30496 - 5.56468i) q^{79} +(-15.0792 + 2.30506i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(4.05021 + 8.27516i) q^{82} +(13.3481 - 1.31467i) q^{83} +(0.00440227 + 0.164486i) q^{84} +(21.8759 + 11.6929i) q^{85} +(5.59337 + 1.32180i) q^{86} +(-1.01968 - 5.12628i) q^{87} +(-0.613512 + 1.12349i) q^{88} +(5.29652 + 1.05354i) q^{89} +(5.05320 - 1.88470i) q^{90} +(0.287355 + 0.0283020i) q^{91} +(-2.73675 + 2.37133i) q^{92} +(-4.94273 - 1.49936i) q^{93} +(6.98932 + 9.16515i) q^{94} +(4.48063 - 4.48063i) q^{95} +(1.20221 + 5.52763i) q^{96} +(-4.02690 - 4.02690i) q^{97} +(1.32014 - 9.80142i) q^{98} +(0.131377 - 0.433093i) 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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36711 + 0.361948i −0.966694 + 0.255936i
\(3\) 0.881921 0.471397i 0.509177 0.272161i
\(4\) 1.73799 0.989646i 0.868994 0.494823i
\(5\) −2.41932 2.94794i −1.08195 1.31836i −0.944741 0.327819i \(-0.893686\pi\)
−0.137210 0.990542i \(-0.543814\pi\)
\(6\) −1.03506 + 0.963661i −0.422563 + 0.393413i
\(7\) −0.0684071 + 0.0457082i −0.0258555 + 0.0172761i −0.568431 0.822731i \(-0.692449\pi\)
0.542575 + 0.840007i \(0.317449\pi\)
\(8\) −2.01782 + 1.98202i −0.713408 + 0.700749i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) 4.37448 + 3.15450i 1.38333 + 0.997541i
\(11\) 0.433093 0.131377i 0.130582 0.0396117i −0.224317 0.974516i \(-0.572015\pi\)
0.354899 + 0.934904i \(0.384515\pi\)
\(12\) 1.06625 1.69207i 0.307800 0.488459i
\(13\) −2.71297 2.22648i −0.752443 0.617514i 0.177966 0.984037i \(-0.443048\pi\)
−0.930409 + 0.366522i \(0.880548\pi\)
\(14\) 0.0769762 0.0872480i 0.0205728 0.0233180i
\(15\) −3.52330 1.45940i −0.909711 0.376815i
\(16\) 2.04120 3.43999i 0.510300 0.859996i
\(17\) −6.00920 + 2.48909i −1.45745 + 0.603694i −0.963957 0.266059i \(-0.914279\pi\)
−0.493489 + 0.869752i \(0.664279\pi\)
\(18\) −0.458578 + 1.33780i −0.108088 + 0.315322i
\(19\) 0.162863 + 1.65357i 0.0373633 + 0.379356i 0.995623 + 0.0934576i \(0.0297919\pi\)
−0.958260 + 0.285898i \(0.907708\pi\)
\(20\) −7.12216 2.72922i −1.59256 0.610273i
\(21\) −0.0387830 + 0.0725579i −0.00846315 + 0.0158334i
\(22\) −0.544534 + 0.336364i −0.116095 + 0.0717131i
\(23\) −1.77580 + 0.353229i −0.370281 + 0.0736534i −0.376723 0.926326i \(-0.622949\pi\)
0.00644264 + 0.999979i \(0.497949\pi\)
\(24\) −0.845244 + 2.69918i −0.172535 + 0.550967i
\(25\) −1.86184 + 9.36009i −0.372367 + 1.87202i
\(26\) 4.51481 + 2.06189i 0.885426 + 0.404370i
\(27\) 0.0980171 0.995185i 0.0188634 0.191523i
\(28\) −0.0736558 + 0.147139i −0.0139196 + 0.0278067i
\(29\) 1.51723 5.00165i 0.281743 0.928784i −0.695833 0.718203i \(-0.744965\pi\)
0.977577 0.210580i \(-0.0675353\pi\)
\(30\) 5.34497 + 0.719909i 0.975853 + 0.131437i
\(31\) −3.65231 3.65231i −0.655974 0.655974i 0.298451 0.954425i \(-0.403530\pi\)
−0.954425 + 0.298451i \(0.903530\pi\)
\(32\) −1.54545 + 5.44165i −0.273200 + 0.961957i
\(33\) 0.320023 0.320023i 0.0557088 0.0557088i
\(34\) 7.31433 5.57788i 1.25440 0.956599i
\(35\) 0.300244 + 0.0910779i 0.0507504 + 0.0153950i
\(36\) 0.142713 1.99490i 0.0237856 0.332484i
\(37\) 4.62773 + 0.455791i 0.760794 + 0.0749316i 0.470971 0.882149i \(-0.343904\pi\)
0.289823 + 0.957080i \(0.406404\pi\)
\(38\) −0.821159 2.20167i −0.133210 0.357158i
\(39\) −3.44218 0.684693i −0.551190 0.109639i
\(40\) 10.7246 + 1.15330i 1.69571 + 0.182353i
\(41\) −1.27095 6.38951i −0.198490 0.997874i −0.943639 0.330977i \(-0.892622\pi\)
0.745149 0.666898i \(-0.232378\pi\)
\(42\) 0.0267585 0.113232i 0.00412893 0.0174721i
\(43\) −3.58417 1.91578i −0.546580 0.292153i 0.174902 0.984586i \(-0.444039\pi\)
−0.721483 + 0.692432i \(0.756539\pi\)
\(44\) 0.622693 0.656941i 0.0938745 0.0990375i
\(45\) −3.79523 + 0.373797i −0.565759 + 0.0557224i
\(46\) 2.29987 1.12565i 0.339097 0.165968i
\(47\) −3.11894 7.52978i −0.454944 1.09833i −0.970419 0.241427i \(-0.922385\pi\)
0.515475 0.856904i \(-0.327615\pi\)
\(48\) 0.178581 3.99601i 0.0257759 0.576775i
\(49\) −2.67619 + 6.46090i −0.382313 + 0.922986i
\(50\) −0.842525 13.4702i −0.119151 1.90497i
\(51\) −4.12629 + 5.02790i −0.577797 + 0.704047i
\(52\) −6.91854 1.18471i −0.959429 0.164290i
\(53\) 1.05605 + 3.48132i 0.145059 + 0.478195i 0.999118 0.0419800i \(-0.0133666\pi\)
−0.854059 + 0.520175i \(0.825867\pi\)
\(54\) 0.226205 + 1.39601i 0.0307826 + 0.189972i
\(55\) −1.43508 0.958890i −0.193506 0.129297i
\(56\) 0.0474390 0.227815i 0.00633931 0.0304431i
\(57\) 0.923122 + 1.38155i 0.122270 + 0.182991i
\(58\) −0.263891 + 7.38698i −0.0346506 + 0.969958i
\(59\) 10.5654 8.67080i 1.37550 1.12884i 0.398122 0.917332i \(-0.369662\pi\)
0.977376 0.211510i \(-0.0678381\pi\)
\(60\) −7.56773 + 0.950403i −0.976990 + 0.122696i
\(61\) −3.48644 6.52266i −0.446392 0.835141i −0.999997 0.00236184i \(-0.999248\pi\)
0.553605 0.832779i \(-0.313252\pi\)
\(62\) 6.31506 + 3.67117i 0.802013 + 0.466239i
\(63\) 0.0822726i 0.0103654i
\(64\) 0.143213 7.99872i 0.0179017 0.999840i
\(65\) 13.3842i 1.66011i
\(66\) −0.321675 + 0.553339i −0.0395955 + 0.0681113i
\(67\) −7.45946 13.9557i −0.911318 1.70496i −0.681637 0.731691i \(-0.738732\pi\)
−0.229682 0.973266i \(-0.573768\pi\)
\(68\) −7.98060 + 10.2730i −0.967789 + 1.24578i
\(69\) −1.39961 + 1.14863i −0.168493 + 0.138279i
\(70\) −0.443432 0.0158411i −0.0530003 0.00189337i
\(71\) 4.59326 + 6.87430i 0.545120 + 0.815829i 0.997092 0.0762026i \(-0.0242796\pi\)
−0.451973 + 0.892032i \(0.649280\pi\)
\(72\) 0.526945 + 2.77891i 0.0621011 + 0.327497i
\(73\) 12.1245 + 8.10136i 1.41907 + 0.948193i 0.999175 + 0.0406209i \(0.0129336\pi\)
0.419896 + 0.907572i \(0.362066\pi\)
\(74\) −6.49159 + 1.05188i −0.754632 + 0.122278i
\(75\) 2.77032 + 9.13252i 0.319889 + 1.05453i
\(76\) 1.91951 + 2.71271i 0.220183 + 0.311170i
\(77\) −0.0236216 + 0.0287830i −0.00269193 + 0.00328013i
\(78\) 4.95367 0.309840i 0.560893 0.0350824i
\(79\) 2.30496 5.56468i 0.259329 0.626075i −0.739566 0.673084i \(-0.764969\pi\)
0.998894 + 0.0470093i \(0.0149690\pi\)
\(80\) −15.0792 + 2.30506i −1.68591 + 0.257714i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) 4.05021 + 8.27516i 0.447270 + 0.913838i
\(83\) 13.3481 1.31467i 1.46514 0.144304i 0.666227 0.745749i \(-0.267908\pi\)
0.798914 + 0.601445i \(0.205408\pi\)
\(84\) 0.00440227 + 0.164486i 0.000480327 + 0.0179469i
\(85\) 21.8759 + 11.6929i 2.37277 + 1.26827i
\(86\) 5.59337 + 1.32180i 0.603148 + 0.142533i
\(87\) −1.01968 5.12628i −0.109321 0.549595i
\(88\) −0.613512 + 1.12349i −0.0654006 + 0.119765i
\(89\) 5.29652 + 1.05354i 0.561429 + 0.111675i 0.467644 0.883917i \(-0.345103\pi\)
0.0937859 + 0.995592i \(0.470103\pi\)
\(90\) 5.05320 1.88470i 0.532654 0.198664i
\(91\) 0.287355 + 0.0283020i 0.0301230 + 0.00296686i
\(92\) −2.73675 + 2.37133i −0.285326 + 0.247228i
\(93\) −4.94273 1.49936i −0.512538 0.155477i
\(94\) 6.98932 + 9.16515i 0.720893 + 0.945313i
\(95\) 4.48063 4.48063i 0.459703 0.459703i
\(96\) 1.20221 + 5.52763i 0.122700 + 0.564161i
\(97\) −4.02690 4.02690i −0.408869 0.408869i 0.472475 0.881344i \(-0.343361\pi\)
−0.881344 + 0.472475i \(0.843361\pi\)
\(98\) 1.32014 9.80142i 0.133355 0.990093i
\(99\) 0.131377 0.433093i 0.0132039 0.0435275i
\(100\) 6.02732 + 18.1103i 0.602732 + 1.81103i
\(101\) −1.70578 + 17.3191i −0.169732 + 1.72331i 0.413070 + 0.910699i \(0.364456\pi\)
−0.582802 + 0.812614i \(0.698044\pi\)
\(102\) 3.82126 8.36720i 0.378361 0.828477i
\(103\) 1.85522 9.32682i 0.182800 0.918999i −0.775087 0.631855i \(-0.782294\pi\)
0.957887 0.287145i \(-0.0927061\pi\)
\(104\) 9.88722 0.884520i 0.969521 0.0867343i
\(105\) 0.307725 0.0612103i 0.0300309 0.00597352i
\(106\) −2.70379 4.37711i −0.262615 0.425143i
\(107\) −8.63104 + 16.1475i −0.834394 + 1.56104i −0.00662167 + 0.999978i \(0.502108\pi\)
−0.827773 + 0.561064i \(0.810392\pi\)
\(108\) −0.814528 1.82662i −0.0783780 0.175767i
\(109\) −0.149201 1.51487i −0.0142909 0.145098i 0.985391 0.170305i \(-0.0544754\pi\)
−0.999682 + 0.0252074i \(0.991975\pi\)
\(110\) 2.30898 + 0.791486i 0.220153 + 0.0754652i
\(111\) 4.29615 1.77952i 0.407772 0.168905i
\(112\) 0.0176028 + 0.328619i 0.00166331 + 0.0310516i
\(113\) −1.96007 0.811886i −0.184387 0.0763758i 0.288580 0.957456i \(-0.406817\pi\)
−0.472967 + 0.881080i \(0.656817\pi\)
\(114\) −1.76206 1.55461i −0.165032 0.145603i
\(115\) 5.33753 + 4.38040i 0.497727 + 0.408474i
\(116\) −2.31293 10.1943i −0.214750 0.946520i
\(117\) −3.35850 + 1.01879i −0.310493 + 0.0941871i
\(118\) −11.3057 + 15.6781i −1.04077 + 1.44328i
\(119\) 0.297300 0.444941i 0.0272535 0.0407877i
\(120\) 10.0019 4.03843i 0.913048 0.368657i
\(121\) −8.97586 + 5.99748i −0.815987 + 0.545225i
\(122\) 7.12721 + 7.65530i 0.645267 + 0.693078i
\(123\) −4.13288 5.03593i −0.372649 0.454074i
\(124\) −9.96216 2.73317i −0.894628 0.245446i
\(125\) 15.2810 8.16784i 1.36677 0.730554i
\(126\) −0.0297784 0.112476i −0.00265287 0.0100201i
\(127\) 5.63302 0.499850 0.249925 0.968265i \(-0.419594\pi\)
0.249925 + 0.968265i \(0.419594\pi\)
\(128\) 2.69933 + 10.9870i 0.238589 + 0.971121i
\(129\) −4.06405 −0.357819
\(130\) −4.84440 18.2978i −0.424882 1.60482i
\(131\) 5.08556 2.71829i 0.444328 0.237498i −0.234031 0.972229i \(-0.575192\pi\)
0.678359 + 0.734731i \(0.262692\pi\)
\(132\) 0.239486 0.872905i 0.0208446 0.0759767i
\(133\) −0.0867229 0.105672i −0.00751983 0.00916293i
\(134\) 15.2491 + 16.3790i 1.31733 + 1.41493i
\(135\) −3.17088 + 2.11872i −0.272906 + 0.182350i
\(136\) 7.19208 16.9329i 0.616715 1.45198i
\(137\) 5.00484 7.49028i 0.427593 0.639938i −0.553642 0.832755i \(-0.686762\pi\)
0.981235 + 0.192817i \(0.0617624\pi\)
\(138\) 1.49768 2.07689i 0.127491 0.176796i
\(139\) 15.2480 4.62542i 1.29332 0.392323i 0.432682 0.901547i \(-0.357567\pi\)
0.860634 + 0.509223i \(0.170067\pi\)
\(140\) 0.611955 0.138843i 0.0517196 0.0117344i
\(141\) −6.30017 5.17041i −0.530570 0.435427i
\(142\) −8.76764 7.73541i −0.735764 0.649141i
\(143\) −1.46748 0.607849i −0.122717 0.0508309i
\(144\) −1.72621 3.60835i −0.143851 0.300696i
\(145\) −18.4153 + 7.62785i −1.52930 + 0.633459i
\(146\) −19.5079 6.68701i −1.61448 0.553421i
\(147\) 0.685457 + 6.95956i 0.0565355 + 0.574015i
\(148\) 8.49400 3.78765i 0.698203 0.311343i
\(149\) 2.23196 4.17570i 0.182849 0.342087i −0.773751 0.633489i \(-0.781622\pi\)
0.956600 + 0.291403i \(0.0941220\pi\)
\(150\) −7.09283 11.4825i −0.579128 0.937539i
\(151\) −5.35237 + 1.06465i −0.435570 + 0.0866403i −0.408005 0.912980i \(-0.633775\pi\)
−0.0275652 + 0.999620i \(0.508775\pi\)
\(152\) −3.60604 3.01382i −0.292489 0.244453i
\(153\) −1.26893 + 6.37933i −0.102587 + 0.515739i
\(154\) 0.0218754 0.0478994i 0.00176277 0.00385985i
\(155\) −1.93072 + 19.6029i −0.155079 + 1.57454i
\(156\) −6.66008 + 2.21656i −0.533233 + 0.177467i
\(157\) −0.379323 + 1.25046i −0.0302733 + 0.0997976i −0.970775 0.239991i \(-0.922856\pi\)
0.940502 + 0.339789i \(0.110356\pi\)
\(158\) −1.13702 + 8.44181i −0.0904565 + 0.671594i
\(159\) 2.57243 + 2.57243i 0.204007 + 0.204007i
\(160\) 19.7806 8.60916i 1.56380 0.680614i
\(161\) 0.105332 0.105332i 0.00830134 0.00830134i
\(162\) 0.857567 + 1.12453i 0.0673768 + 0.0883518i
\(163\) −15.8692 4.81388i −1.24297 0.377052i −0.400753 0.916186i \(-0.631252\pi\)
−0.842220 + 0.539134i \(0.818752\pi\)
\(164\) −8.53226 9.84710i −0.666258 0.768929i
\(165\) −1.71765 0.169173i −0.133719 0.0131701i
\(166\) −17.7725 + 6.62860i −1.37941 + 0.514479i
\(167\) −6.64738 1.32225i −0.514390 0.102318i −0.0689318 0.997621i \(-0.521959\pi\)
−0.445458 + 0.895303i \(0.646959\pi\)
\(168\) −0.0655538 0.223278i −0.00505759 0.0172262i
\(169\) −0.133163 0.669454i −0.0102433 0.0514965i
\(170\) −34.1390 8.06756i −2.61834 0.618754i
\(171\) 1.46538 + 0.783261i 0.112060 + 0.0598975i
\(172\) −8.12518 + 0.217461i −0.619539 + 0.0165812i
\(173\) −1.97220 + 0.194244i −0.149943 + 0.0147681i −0.172710 0.984973i \(-0.555252\pi\)
0.0227670 + 0.999741i \(0.492752\pi\)
\(174\) 3.24947 + 6.63913i 0.246341 + 0.503311i
\(175\) −0.300470 0.725398i −0.0227134 0.0548349i
\(176\) 0.432094 1.75800i 0.0325703 0.132514i
\(177\) 5.23047 12.6275i 0.393146 0.949138i
\(178\) −7.62225 + 0.476753i −0.571312 + 0.0357341i
\(179\) 11.9073 14.5091i 0.889995 1.08446i −0.105939 0.994373i \(-0.533785\pi\)
0.995934 0.0900894i \(-0.0287153\pi\)
\(180\) −6.22613 + 4.40559i −0.464068 + 0.328373i
\(181\) −3.93927 12.9860i −0.292804 0.965245i −0.972725 0.231960i \(-0.925486\pi\)
0.679922 0.733285i \(-0.262014\pi\)
\(182\) −0.403090 + 0.0653156i −0.0298790 + 0.00484151i
\(183\) −6.14952 4.10898i −0.454586 0.303745i
\(184\) 2.88315 4.23243i 0.212549 0.312019i
\(185\) −9.85228 14.7450i −0.724354 1.08407i
\(186\) 7.29996 + 0.260783i 0.535259 + 0.0191215i
\(187\) −2.27553 + 1.86748i −0.166403 + 0.136564i
\(188\) −12.8725 10.0000i −0.938823 0.729326i
\(189\) 0.0387830 + 0.0725579i 0.00282105 + 0.00527781i
\(190\) −4.50376 + 7.74727i −0.326737 + 0.562046i
\(191\) 3.82167i 0.276526i 0.990396 + 0.138263i \(0.0441520\pi\)
−0.990396 + 0.138263i \(0.955848\pi\)
\(192\) −3.64427 7.12175i −0.263002 0.513968i
\(193\) 4.77663i 0.343829i 0.985112 + 0.171915i \(0.0549954\pi\)
−0.985112 + 0.171915i \(0.945005\pi\)
\(194\) 6.96274 + 4.04769i 0.499896 + 0.290607i
\(195\) 6.30929 + 11.8039i 0.451818 + 0.845291i
\(196\) 1.74282 + 13.8775i 0.124487 + 0.991247i
\(197\) 19.5421 16.0378i 1.39232 1.14265i 0.420396 0.907341i \(-0.361891\pi\)
0.971922 0.235304i \(-0.0756087\pi\)
\(198\) −0.0228503 + 0.639638i −0.00162390 + 0.0454571i
\(199\) −3.77082 5.64343i −0.267306 0.400052i 0.673398 0.739280i \(-0.264834\pi\)
−0.940704 + 0.339228i \(0.889834\pi\)
\(200\) −14.7950 22.5772i −1.04616 1.59645i
\(201\) −13.1573 8.79144i −0.928046 0.620100i
\(202\) −3.93661 24.2945i −0.276979 1.70936i
\(203\) 0.124827 + 0.411499i 0.00876113 + 0.0288816i
\(204\) −2.19560 + 12.8220i −0.153723 + 0.897720i
\(205\) −15.7611 + 19.2049i −1.10080 + 1.34133i
\(206\) 0.839531 + 13.4223i 0.0584929 + 0.935176i
\(207\) −0.692884 + 1.67277i −0.0481588 + 0.116266i
\(208\) −13.1968 + 4.78790i −0.915032 + 0.331981i
\(209\) 0.287777 + 0.694755i 0.0199059 + 0.0480572i
\(210\) −0.398540 + 0.195062i −0.0275018 + 0.0134605i
\(211\) 13.8943 1.36847i 0.956526 0.0942095i 0.392306 0.919835i \(-0.371677\pi\)
0.564219 + 0.825625i \(0.309177\pi\)
\(212\) 5.28066 + 5.00537i 0.362678 + 0.343770i
\(213\) 7.29141 + 3.89734i 0.499600 + 0.267042i
\(214\) 5.95503 25.1995i 0.407077 1.72260i
\(215\) 3.02363 + 15.2008i 0.206210 + 1.03669i
\(216\) 1.77469 + 2.20238i 0.120753 + 0.149853i
\(217\) 0.416784 + 0.0829035i 0.0282932 + 0.00562786i
\(218\) 0.752277 + 2.01699i 0.0509506 + 0.136608i
\(219\) 14.5119 + 1.42929i 0.980620 + 0.0965827i
\(220\) −3.44312 0.246317i −0.232135 0.0166067i
\(221\) 21.8447 + 6.62652i 1.46943 + 0.445748i
\(222\) −5.22922 + 3.98779i −0.350962 + 0.267643i
\(223\) −6.02079 + 6.02079i −0.403182 + 0.403182i −0.879353 0.476171i \(-0.842024\pi\)
0.476171 + 0.879353i \(0.342024\pi\)
\(224\) −0.143008 0.442888i −0.00955512 0.0295917i
\(225\) 6.74825 + 6.74825i 0.449883 + 0.449883i
\(226\) 2.97349 + 0.400497i 0.197794 + 0.0266406i
\(227\) 4.71448 15.5416i 0.312911 1.03153i −0.649598 0.760278i \(-0.725063\pi\)
0.962509 0.271251i \(-0.0874373\pi\)
\(228\) 2.97162 + 1.48755i 0.196800 + 0.0985155i
\(229\) 1.22875 12.4757i 0.0811981 0.824418i −0.865203 0.501423i \(-0.832810\pi\)
0.946401 0.322995i \(-0.104690\pi\)
\(230\) −8.88247 4.05658i −0.585693 0.267483i
\(231\) −0.00726419 + 0.0365195i −0.000477948 + 0.00240281i
\(232\) 6.85185 + 13.0996i 0.449846 + 0.860033i
\(233\) −9.07993 + 1.80611i −0.594846 + 0.118322i −0.483327 0.875440i \(-0.660572\pi\)
−0.111519 + 0.993762i \(0.535572\pi\)
\(234\) 4.22269 2.60840i 0.276046 0.170516i
\(235\) −14.6517 + 27.4114i −0.955770 + 1.78812i
\(236\) 9.78151 25.5258i 0.636722 1.66159i
\(237\) −0.590373 5.99416i −0.0383489 0.389363i
\(238\) −0.245397 + 0.715892i −0.0159067 + 0.0464044i
\(239\) 13.7619 5.70037i 0.890184 0.368726i 0.109746 0.993960i \(-0.464996\pi\)
0.780438 + 0.625233i \(0.214996\pi\)
\(240\) −12.2121 + 9.14117i −0.788285 + 0.590060i
\(241\) 8.80105 + 3.64552i 0.566926 + 0.234828i 0.647689 0.761905i \(-0.275736\pi\)
−0.0807631 + 0.996733i \(0.525736\pi\)
\(242\) 10.1002 11.4480i 0.649267 0.735906i
\(243\) −0.773010 0.634393i −0.0495886 0.0406963i
\(244\) −12.5145 7.88597i −0.801159 0.504847i
\(245\) 25.5209 7.74169i 1.63047 0.494599i
\(246\) 7.47285 + 5.38878i 0.476451 + 0.343576i
\(247\) 3.23981 4.84871i 0.206144 0.308516i
\(248\) 14.6086 + 0.130770i 0.927650 + 0.00830390i
\(249\) 11.1522 7.45167i 0.706743 0.472230i
\(250\) −17.9344 + 16.6973i −1.13427 + 1.05603i
\(251\) −11.3854 13.8732i −0.718640 0.875665i 0.277742 0.960656i \(-0.410414\pi\)
−0.996382 + 0.0849903i \(0.972914\pi\)
\(252\) 0.0814207 + 0.142989i 0.00512902 + 0.00900744i
\(253\) −0.722681 + 0.386281i −0.0454346 + 0.0242853i
\(254\) −7.70096 + 2.03886i −0.483201 + 0.127929i
\(255\) 24.8048 1.55334
\(256\) −7.66700 14.0434i −0.479187 0.877713i
\(257\) 7.72126 0.481639 0.240820 0.970570i \(-0.422584\pi\)
0.240820 + 0.970570i \(0.422584\pi\)
\(258\) 5.55600 1.47097i 0.345902 0.0915788i
\(259\) −0.337403 + 0.180346i −0.0209652 + 0.0112061i
\(260\) 13.2457 + 23.2617i 0.821462 + 1.44263i
\(261\) −3.31579 4.04030i −0.205242 0.250089i
\(262\) −5.96865 + 5.55692i −0.368745 + 0.343307i
\(263\) −22.9299 + 15.3213i −1.41392 + 0.944752i −0.414524 + 0.910038i \(0.636052\pi\)
−0.999397 + 0.0347135i \(0.988948\pi\)
\(264\) −0.0114583 + 1.28004i −0.000705212 + 0.0787811i
\(265\) 7.70782 11.5356i 0.473487 0.708624i
\(266\) 0.156808 + 0.113076i 0.00961449 + 0.00693316i
\(267\) 5.16775 1.56762i 0.316261 0.0959367i
\(268\) −26.7756 16.8726i −1.63558 1.03066i
\(269\) −10.0920 8.28229i −0.615320 0.504980i 0.274322 0.961638i \(-0.411546\pi\)
−0.889642 + 0.456658i \(0.849046\pi\)
\(270\) 3.56809 4.04422i 0.217147 0.246123i
\(271\) −6.65227 2.75546i −0.404096 0.167382i 0.171372 0.985206i \(-0.445180\pi\)
−0.575468 + 0.817824i \(0.695180\pi\)
\(272\) −3.70354 + 25.7523i −0.224560 + 1.56146i
\(273\) 0.266766 0.110498i 0.0161454 0.00668765i
\(274\) −4.13109 + 12.0515i −0.249568 + 0.728060i
\(275\) 0.423354 + 4.29839i 0.0255292 + 0.259203i
\(276\) −1.29577 + 3.38142i −0.0779959 + 0.203537i
\(277\) −13.2391 + 24.7686i −0.795461 + 1.48820i 0.0756595 + 0.997134i \(0.475894\pi\)
−0.871121 + 0.491069i \(0.836606\pi\)
\(278\) −19.1715 + 11.8424i −1.14983 + 0.710262i
\(279\) −5.06590 + 1.00767i −0.303287 + 0.0603276i
\(280\) −0.786356 + 0.411309i −0.0469938 + 0.0245804i
\(281\) 0.120530 0.605946i 0.00719023 0.0361477i −0.977024 0.213131i \(-0.931634\pi\)
0.984214 + 0.176983i \(0.0566339\pi\)
\(282\) 10.4845 + 4.78820i 0.624340 + 0.285133i
\(283\) −2.13461 + 21.6730i −0.126889 + 1.28833i 0.695136 + 0.718878i \(0.255344\pi\)
−0.822026 + 0.569450i \(0.807156\pi\)
\(284\) 14.7862 + 7.40174i 0.877397 + 0.439213i
\(285\) 1.83941 6.06371i 0.108957 0.359183i
\(286\) 2.22622 + 0.299847i 0.131639 + 0.0177303i
\(287\) 0.378995 + 0.378995i 0.0223714 + 0.0223714i
\(288\) 3.66596 + 4.30822i 0.216019 + 0.253864i
\(289\) 17.8941 17.8941i 1.05259 1.05259i
\(290\) 22.4148 17.0935i 1.31624 1.00376i
\(291\) −5.44967 1.65314i −0.319465 0.0969088i
\(292\) 29.0898 + 2.08106i 1.70235 + 0.121785i
\(293\) −26.0090 2.56166i −1.51946 0.149654i −0.696419 0.717636i \(-0.745224\pi\)
−0.823041 + 0.567982i \(0.807724\pi\)
\(294\) −3.45609 9.26639i −0.201563 0.540427i
\(295\) −51.1221 10.1688i −2.97644 0.592051i
\(296\) −10.2413 + 8.25253i −0.595264 + 0.479669i
\(297\) −0.0882941 0.443885i −0.00512335 0.0257568i
\(298\) −1.53995 + 6.51650i −0.0892069 + 0.377491i
\(299\) 5.60416 + 2.99549i 0.324097 + 0.173234i
\(300\) 13.8527 + 13.1306i 0.799789 + 0.758094i
\(301\) 0.332749 0.0327730i 0.0191794 0.00188900i
\(302\) 6.93194 3.39278i 0.398889 0.195233i
\(303\) 6.65980 + 16.0782i 0.382595 + 0.923667i
\(304\) 6.02071 + 2.81503i 0.345311 + 0.161453i
\(305\) −10.7937 + 26.0582i −0.618043 + 1.49209i
\(306\) −0.574220 9.18055i −0.0328260 0.524817i
\(307\) 8.06219 9.82380i 0.460133 0.560674i −0.490320 0.871543i \(-0.663120\pi\)
0.950453 + 0.310869i \(0.100620\pi\)
\(308\) −0.0125691 + 0.0734016i −0.000716189 + 0.00418244i
\(309\) −2.76048 9.10007i −0.157038 0.517685i
\(310\) −4.45572 27.4981i −0.253068 1.56179i
\(311\) −15.7327 10.5123i −0.892122 0.596097i 0.0227944 0.999740i \(-0.492744\pi\)
−0.914916 + 0.403643i \(0.867744\pi\)
\(312\) 8.30279 5.44088i 0.470053 0.308029i
\(313\) 9.20923 + 13.7826i 0.520537 + 0.779038i 0.994854 0.101316i \(-0.0323052\pi\)
−0.474318 + 0.880354i \(0.657305\pi\)
\(314\) 0.0659754 1.84681i 0.00372321 0.104222i
\(315\) 0.242535 0.199043i 0.0136653 0.0112148i
\(316\) −1.50106 11.9524i −0.0844413 0.672377i
\(317\) 11.9466 + 22.3505i 0.670986 + 1.25533i 0.955028 + 0.296515i \(0.0958245\pi\)
−0.284042 + 0.958812i \(0.591675\pi\)
\(318\) −4.44788 2.58571i −0.249425 0.145000i
\(319\) 2.36551i 0.132443i
\(320\) −23.9263 + 18.9292i −1.33752 + 1.05818i
\(321\) 18.3095i 1.02194i
\(322\) −0.105876 + 0.182126i −0.00590024 + 0.0101495i
\(323\) −5.09457 9.53128i −0.283470 0.530335i
\(324\) −1.57941 1.22697i −0.0877452 0.0681650i
\(325\) 25.8912 21.2483i 1.43618 1.17864i
\(326\) 23.4374 + 0.837274i 1.29808 + 0.0463723i
\(327\) −0.845686 1.26566i −0.0467666 0.0699911i
\(328\) 15.2287 + 10.3739i 0.840864 + 0.572800i
\(329\) 0.557530 + 0.372530i 0.0307376 + 0.0205382i
\(330\) 2.40945 0.390420i 0.132636 0.0214919i
\(331\) 4.35101 + 14.3433i 0.239153 + 0.788382i 0.991556 + 0.129679i \(0.0413946\pi\)
−0.752403 + 0.658703i \(0.771105\pi\)
\(332\) 21.8977 15.4947i 1.20179 0.850384i
\(333\) 2.95000 3.59459i 0.161659 0.196982i
\(334\) 9.56629 0.598347i 0.523444 0.0327401i
\(335\) −23.0938 + 55.7532i −1.26175 + 3.04613i
\(336\) 0.170434 + 0.281518i 0.00929795 + 0.0153581i
\(337\) 6.96802 + 16.8223i 0.379572 + 0.916368i 0.992046 + 0.125877i \(0.0401745\pi\)
−0.612474 + 0.790491i \(0.709826\pi\)
\(338\) 0.424356 + 0.867020i 0.0230819 + 0.0471597i
\(339\) −2.11134 + 0.207949i −0.114672 + 0.0112943i
\(340\) 49.5918 1.32726i 2.68949 0.0719810i
\(341\) −2.06162 1.10196i −0.111643 0.0596744i
\(342\) −2.28683 0.540415i −0.123658 0.0292223i
\(343\) −0.224600 1.12914i −0.0121272 0.0609677i
\(344\) 11.0293 3.23818i 0.594661 0.174591i
\(345\) 6.77218 + 1.34707i 0.364602 + 0.0725239i
\(346\) 2.62591 0.979386i 0.141170 0.0526521i
\(347\) 10.0223 + 0.987115i 0.538028 + 0.0529911i 0.363382 0.931640i \(-0.381622\pi\)
0.174646 + 0.984631i \(0.444122\pi\)
\(348\) −6.84540 7.90029i −0.366952 0.423500i
\(349\) −23.1524 7.02320i −1.23932 0.375943i −0.398454 0.917188i \(-0.630453\pi\)
−0.840865 + 0.541245i \(0.817953\pi\)
\(350\) 0.673332 + 0.882946i 0.0359911 + 0.0471954i
\(351\) −2.48168 + 2.48168i −0.132462 + 0.132462i
\(352\) 0.0455844 + 2.55978i 0.00242966 + 0.136437i
\(353\) −21.2471 21.2471i −1.13087 1.13087i −0.990033 0.140834i \(-0.955021\pi\)
−0.140834 0.990033i \(-0.544979\pi\)
\(354\) −2.58015 + 19.1563i −0.137133 + 1.01815i
\(355\) 9.15251 30.1718i 0.485765 1.60135i
\(356\) 10.2479 3.41063i 0.543138 0.180763i
\(357\) 0.0524516 0.532550i 0.00277603 0.0281855i
\(358\) −11.0271 + 24.1454i −0.582800 + 1.27612i
\(359\) −3.94015 + 19.8085i −0.207953 + 1.04545i 0.725902 + 0.687798i \(0.241423\pi\)
−0.933855 + 0.357652i \(0.883577\pi\)
\(360\) 6.91722 8.27646i 0.364569 0.436208i
\(361\) 15.9271 3.16810i 0.838270 0.166742i
\(362\) 10.0857 + 16.3276i 0.530092 + 0.858157i
\(363\) −5.08881 + 9.52049i −0.267093 + 0.499696i
\(364\) 0.527428 0.235191i 0.0276448 0.0123274i
\(365\) −5.45074 55.3422i −0.285305 2.89675i
\(366\) 9.89432 + 3.39163i 0.517184 + 0.177283i
\(367\) 25.3571 10.5033i 1.32363 0.548266i 0.394800 0.918767i \(-0.370814\pi\)
0.928832 + 0.370501i \(0.120814\pi\)
\(368\) −2.40967 + 6.82975i −0.125613 + 0.356025i
\(369\) −6.01879 2.49306i −0.313326 0.129784i
\(370\) 18.8061 + 16.5920i 0.977682 + 0.862578i
\(371\) −0.231366 0.189877i −0.0120119 0.00985792i
\(372\) −10.0742 + 2.28568i −0.522325 + 0.118507i
\(373\) −35.4024 + 10.7392i −1.83307 + 0.556054i −0.833069 + 0.553169i \(0.813419\pi\)
−0.999996 + 0.00288563i \(0.999081\pi\)
\(374\) 2.43498 3.37668i 0.125910 0.174604i
\(375\) 9.62631 14.4068i 0.497100 0.743963i
\(376\) 21.2176 + 9.01197i 1.09421 + 0.464757i
\(377\) −15.2523 + 10.1913i −0.785533 + 0.524876i
\(378\) −0.0792829 0.0851574i −0.00407787 0.00438002i
\(379\) 6.70511 + 8.17020i 0.344418 + 0.419675i 0.916194 0.400735i \(-0.131245\pi\)
−0.571776 + 0.820410i \(0.693745\pi\)
\(380\) 3.35304 12.2215i 0.172007 0.626950i
\(381\) 4.96788 2.65539i 0.254512 0.136040i
\(382\) −1.38325 5.22465i −0.0707730 0.267316i
\(383\) 16.2985 0.832812 0.416406 0.909179i \(-0.363289\pi\)
0.416406 + 0.909179i \(0.363289\pi\)
\(384\) 7.55982 + 8.41719i 0.385786 + 0.429538i
\(385\) 0.141999 0.00723694
\(386\) −1.72889 6.53019i −0.0879983 0.332378i
\(387\) −3.58417 + 1.91578i −0.182193 + 0.0973845i
\(388\) −10.9839 3.01349i −0.557623 0.152987i
\(389\) −0.0969579 0.118144i −0.00491596 0.00599012i 0.770547 0.637384i \(-0.219983\pi\)
−0.775463 + 0.631393i \(0.782483\pi\)
\(390\) −12.8979 13.8535i −0.653110 0.701502i
\(391\) 9.79194 6.54277i 0.495200 0.330882i
\(392\) −7.40554 18.3412i −0.374036 0.926371i
\(393\) 3.20367 4.79464i 0.161604 0.241857i
\(394\) −20.9114 + 28.9987i −1.05350 + 1.46093i
\(395\) −21.9808 + 6.66780i −1.10597 + 0.335493i
\(396\) −0.200277 0.882727i −0.0100643 0.0443587i
\(397\) −9.60390 7.88171i −0.482006 0.395572i 0.361770 0.932267i \(-0.382172\pi\)
−0.843776 + 0.536695i \(0.819672\pi\)
\(398\) 7.19775 + 6.35035i 0.360791 + 0.318314i
\(399\) −0.126296 0.0523136i −0.00632272 0.00261896i
\(400\) 28.3982 + 25.5105i 1.41991 + 1.27553i
\(401\) −34.7746 + 14.4041i −1.73656 + 0.719308i −0.737530 + 0.675314i \(0.764008\pi\)
−0.999032 + 0.0439935i \(0.985992\pi\)
\(402\) 21.1696 + 7.25661i 1.05584 + 0.361927i
\(403\) 1.77682 + 18.0404i 0.0885099 + 0.898656i
\(404\) 14.1751 + 31.7885i 0.705240 + 1.58154i
\(405\) −1.79771 + 3.36329i −0.0893291 + 0.167123i
\(406\) −0.319593 0.517384i −0.0158612 0.0256773i
\(407\) 2.06412 0.410578i 0.102314 0.0203516i
\(408\) −1.63926 18.3238i −0.0811557 0.907163i
\(409\) −0.459058 + 2.30784i −0.0226990 + 0.114115i −0.990474 0.137702i \(-0.956028\pi\)
0.967775 + 0.251818i \(0.0810283\pi\)
\(410\) 14.5960 31.9600i 0.720844 1.57839i
\(411\) 0.882985 8.96510i 0.0435545 0.442216i
\(412\) −6.00591 18.0459i −0.295890 0.889059i
\(413\) −0.326422 + 1.07607i −0.0160622 + 0.0529500i
\(414\) 0.341794 2.53765i 0.0167983 0.124719i
\(415\) −36.1688 36.1688i −1.77545 1.77545i
\(416\) 16.3085 11.3221i 0.799590 0.555113i
\(417\) 11.2671 11.2671i 0.551753 0.551753i
\(418\) −0.644888 0.845647i −0.0315425 0.0413619i
\(419\) −4.09547 1.24235i −0.200077 0.0606926i 0.188656 0.982043i \(-0.439587\pi\)
−0.388732 + 0.921351i \(0.627087\pi\)
\(420\) 0.474246 0.410922i 0.0231408 0.0200509i
\(421\) 34.3695 + 3.38510i 1.67507 + 0.164980i 0.890476 0.455031i \(-0.150372\pi\)
0.784593 + 0.620011i \(0.212872\pi\)
\(422\) −18.4998 + 6.89988i −0.900556 + 0.335881i
\(423\) −7.99357 1.59002i −0.388661 0.0773094i
\(424\) −9.03094 4.93158i −0.438581 0.239498i
\(425\) −12.1100 60.8809i −0.587420 2.95316i
\(426\) −11.3788 2.68899i −0.551305 0.130282i
\(427\) 0.536636 + 0.286838i 0.0259696 + 0.0138811i
\(428\) 0.979712 + 36.6059i 0.0473562 + 1.76941i
\(429\) −1.58074 + 0.155689i −0.0763188 + 0.00751674i
\(430\) −9.63553 19.6868i −0.464667 0.949381i
\(431\) 12.3098 + 29.7186i 0.592944 + 1.43149i 0.880646 + 0.473775i \(0.157109\pi\)
−0.287702 + 0.957720i \(0.592891\pi\)
\(432\) −3.22335 2.36855i −0.155083 0.113957i
\(433\) 10.2346 24.7085i 0.491843 1.18741i −0.461938 0.886912i \(-0.652846\pi\)
0.953781 0.300502i \(-0.0971541\pi\)
\(434\) −0.599797 + 0.0375158i −0.0287912 + 0.00180082i
\(435\) −12.6451 + 15.4081i −0.606285 + 0.738760i
\(436\) −1.75849 2.48516i −0.0842164 0.119018i
\(437\) −0.873303 2.87889i −0.0417758 0.137716i
\(438\) −20.3567 + 3.29853i −0.972678 + 0.157610i
\(439\) 24.6291 + 16.4566i 1.17548 + 0.785432i 0.980720 0.195419i \(-0.0626066\pi\)
0.194762 + 0.980851i \(0.437607\pi\)
\(440\) 4.79628 0.909485i 0.228653 0.0433580i
\(441\) 3.88523 + 5.81466i 0.185011 + 0.276889i
\(442\) −32.2626 1.15255i −1.53458 0.0548210i
\(443\) 28.8113 23.6448i 1.36887 1.12340i 0.389563 0.921000i \(-0.372626\pi\)
0.979303 0.202399i \(-0.0648739\pi\)
\(444\) 5.70556 7.34446i 0.270774 0.348553i
\(445\) −9.70816 18.1627i −0.460211 0.860994i
\(446\) 6.05188 10.4103i 0.286565 0.492942i
\(447\) 4.73478i 0.223947i
\(448\) 0.355810 + 0.553716i 0.0168104 + 0.0261606i
\(449\) 4.49527i 0.212145i −0.994358 0.106072i \(-0.966172\pi\)
0.994358 0.106072i \(-0.0338275\pi\)
\(450\) −11.6681 6.78309i −0.550040 0.319758i
\(451\) −1.38988 2.60028i −0.0654468 0.122442i
\(452\) −4.21005 + 0.528724i −0.198024 + 0.0248691i
\(453\) −4.21850 + 3.46203i −0.198202 + 0.162660i
\(454\) −0.819986 + 22.9534i −0.0384838 + 1.07726i
\(455\) −0.611770 0.915578i −0.0286802 0.0429230i
\(456\) −4.60095 0.958077i −0.215459 0.0448661i
\(457\) −6.65625 4.44756i −0.311366 0.208048i 0.390062 0.920789i \(-0.372454\pi\)
−0.701428 + 0.712740i \(0.747454\pi\)
\(458\) 2.83572 + 17.5004i 0.132504 + 0.817741i
\(459\) 1.88810 + 6.22424i 0.0881291 + 0.290523i
\(460\) 13.6116 + 2.33081i 0.634644 + 0.108675i
\(461\) 1.82176 2.21983i 0.0848480 0.103388i −0.728856 0.684667i \(-0.759948\pi\)
0.813704 + 0.581279i \(0.197448\pi\)
\(462\) −0.00328721 0.0525555i −0.000152935 0.00244510i
\(463\) −3.17151 + 7.65669i −0.147392 + 0.355837i −0.980282 0.197602i \(-0.936685\pi\)
0.832890 + 0.553439i \(0.186685\pi\)
\(464\) −14.1086 15.4286i −0.654977 0.716257i
\(465\) 7.53799 + 18.1983i 0.349566 + 0.843927i
\(466\) 11.7596 5.75562i 0.544751 0.266624i
\(467\) −39.9006 + 3.92986i −1.84638 + 0.181852i −0.959792 0.280711i \(-0.909430\pi\)
−0.886586 + 0.462563i \(0.846930\pi\)
\(468\) −4.82878 + 5.09437i −0.223211 + 0.235487i
\(469\) 1.14817 + 0.613709i 0.0530175 + 0.0283385i
\(470\) 10.1090 42.7775i 0.466293 1.97318i
\(471\) 0.254930 + 1.28162i 0.0117466 + 0.0590539i
\(472\) −4.13342 + 38.4370i −0.190256 + 1.76920i
\(473\) −1.80397 0.358831i −0.0829465 0.0164991i
\(474\) 2.97668 + 7.98100i 0.136723 + 0.366580i
\(475\) −15.7808 1.55427i −0.724074 0.0713150i
\(476\) 0.0763697 1.06752i 0.00350040 0.0489299i
\(477\) 3.48132 + 1.05605i 0.159398 + 0.0483530i
\(478\) −16.7508 + 12.7741i −0.766166 + 0.584276i
\(479\) 21.3176 21.3176i 0.974024 0.974024i −0.0256467 0.999671i \(-0.508165\pi\)
0.999671 + 0.0256467i \(0.00816451\pi\)
\(480\) 13.3866 16.9171i 0.611013 0.772157i
\(481\) −11.5401 11.5401i −0.526183 0.526183i
\(482\) −13.3515 1.79830i −0.608145 0.0819105i
\(483\) 0.0432414 0.142548i 0.00196755 0.00648616i
\(484\) −9.66455 + 19.3065i −0.439298 + 0.877566i
\(485\) −2.12873 + 21.6134i −0.0966608 + 0.981414i
\(486\) 1.28641 + 0.587497i 0.0583527 + 0.0266494i
\(487\) −2.58285 + 12.9849i −0.117040 + 0.588400i 0.877101 + 0.480307i \(0.159475\pi\)
−0.994141 + 0.108093i \(0.965525\pi\)
\(488\) 19.9630 + 6.25140i 0.903684 + 0.282987i
\(489\) −16.2647 + 3.23524i −0.735513 + 0.146303i
\(490\) −32.0879 + 19.8210i −1.44958 + 0.895422i
\(491\) 6.72443 12.5805i 0.303469 0.567751i −0.683250 0.730184i \(-0.739434\pi\)
0.986720 + 0.162433i \(0.0519341\pi\)
\(492\) −12.1667 4.66229i −0.548516 0.210192i
\(493\) 3.33221 + 33.8325i 0.150075 + 1.52374i
\(494\) −2.67419 + 7.80137i −0.120318 + 0.351000i
\(495\) −1.59458 + 0.660495i −0.0716709 + 0.0296871i
\(496\) −20.0190 + 5.10879i −0.898878 + 0.229391i
\(497\) −0.628424 0.260302i −0.0281886 0.0116761i
\(498\) −12.5492 + 14.2238i −0.562343 + 0.637383i
\(499\) −4.39671 3.60829i −0.196824 0.161529i 0.530819 0.847485i \(-0.321884\pi\)
−0.727643 + 0.685956i \(0.759384\pi\)
\(500\) 18.4748 29.3183i 0.826220 1.31116i
\(501\) −6.48577 + 1.96744i −0.289763 + 0.0878986i
\(502\) 20.5865 + 14.8452i 0.918819 + 0.662575i
\(503\) 10.0108 14.9822i 0.446357 0.668021i −0.538253 0.842783i \(-0.680916\pi\)
0.984611 + 0.174762i \(0.0559156\pi\)
\(504\) −0.163066 0.166011i −0.00726352 0.00739474i
\(505\) 55.1825 36.8718i 2.45559 1.64077i
\(506\) 0.848172 0.789663i 0.0377059 0.0351048i
\(507\) −0.433017 0.527633i −0.0192310 0.0234330i
\(508\) 9.79012 5.57470i 0.434366 0.247337i
\(509\) −22.9504 + 12.2673i −1.01726 + 0.543737i −0.893731 0.448604i \(-0.851921\pi\)
−0.123530 + 0.992341i \(0.539421\pi\)
\(510\) −33.9109 + 8.97804i −1.50160 + 0.397554i
\(511\) −1.19970 −0.0530718
\(512\) 15.5646 + 16.4238i 0.687866 + 0.725838i
\(513\) 1.66157 0.0733603
\(514\) −10.5558 + 2.79470i −0.465598 + 0.123269i
\(515\) −31.9833 + 17.0954i −1.40935 + 0.753315i
\(516\) −7.06326 + 4.02197i −0.310943 + 0.177057i
\(517\) −2.34003 2.85134i −0.102914 0.125402i
\(518\) 0.395992 0.368675i 0.0173989 0.0161986i
\(519\) −1.64776 + 1.10100i −0.0723284 + 0.0483283i
\(520\) −26.5278 27.0070i −1.16332 1.18434i
\(521\) −20.3202 + 30.4114i −0.890246 + 1.33235i 0.0524258 + 0.998625i \(0.483305\pi\)
−0.942672 + 0.333722i \(0.891695\pi\)
\(522\) 5.99544 + 4.32340i 0.262413 + 0.189230i
\(523\) 8.87262 2.69148i 0.387973 0.117690i −0.0902714 0.995917i \(-0.528773\pi\)
0.478244 + 0.878227i \(0.341273\pi\)
\(524\) 6.14850 9.75727i 0.268599 0.426248i
\(525\) −0.606941 0.498104i −0.0264891 0.0217390i
\(526\) 25.8023 29.2454i 1.12503 1.27516i
\(527\) 31.0384 + 12.8565i 1.35205 + 0.560039i
\(528\) −0.447643 1.75411i −0.0194812 0.0763376i
\(529\) −18.2205 + 7.54719i −0.792197 + 0.328139i
\(530\) −6.36217 + 18.5602i −0.276355 + 0.806205i
\(531\) −1.33969 13.6021i −0.0581374 0.590279i
\(532\) −0.255301 0.0978319i −0.0110687 0.00424155i
\(533\) −10.7781 + 20.1643i −0.466850 + 0.873414i
\(534\) −6.49749 + 4.01356i −0.281174 + 0.173684i
\(535\) 68.4833 13.6222i 2.96079 0.588938i
\(536\) 42.7123 + 13.3753i 1.84489 + 0.577724i
\(537\) 3.66177 18.4090i 0.158017 0.794406i
\(538\) 16.7946 + 7.67003i 0.724069 + 0.330679i
\(539\) −0.310224 + 3.14976i −0.0133623 + 0.135670i
\(540\) −3.41418 + 6.82036i −0.146923 + 0.293501i
\(541\) −10.7253 + 35.3565i −0.461116 + 1.52010i 0.350872 + 0.936423i \(0.385885\pi\)
−0.811989 + 0.583673i \(0.801615\pi\)
\(542\) 10.0917 + 1.35925i 0.433477 + 0.0583846i
\(543\) −9.59570 9.59570i −0.411791 0.411791i
\(544\) −4.25783 36.5468i −0.182553 1.56693i
\(545\) −4.10477 + 4.10477i −0.175829 + 0.175829i
\(546\) −0.324704 + 0.247619i −0.0138961 + 0.0105971i
\(547\) −1.96322 0.595537i −0.0839413 0.0254633i 0.248035 0.968751i \(-0.420215\pi\)
−0.331976 + 0.943288i \(0.607715\pi\)
\(548\) 1.28563 17.9710i 0.0549194 0.767684i
\(549\) −7.36036 0.724932i −0.314132 0.0309393i
\(550\) −2.13457 5.72315i −0.0910182 0.244036i
\(551\) 8.51770 + 1.69428i 0.362866 + 0.0721786i
\(552\) 0.547558 5.09177i 0.0233056 0.216720i
\(553\) 0.0966753 + 0.486019i 0.00411105 + 0.0206677i
\(554\) 9.13439 38.6533i 0.388083 1.64222i
\(555\) −15.6397 8.35958i −0.663867 0.354844i
\(556\) 21.9233 23.1290i 0.929753 0.980889i
\(557\) −17.0035 + 1.67470i −0.720460 + 0.0709592i −0.451601 0.892220i \(-0.649147\pi\)
−0.268860 + 0.963179i \(0.586647\pi\)
\(558\) 6.56092 3.21119i 0.277746 0.135940i
\(559\) 5.45831 + 13.1775i 0.230862 + 0.557350i
\(560\) 0.926164 0.846925i 0.0391376 0.0357891i
\(561\) −1.12652 + 2.71965i −0.0475615 + 0.114824i
\(562\) 0.0545428 + 0.872022i 0.00230075 + 0.0367840i
\(563\) 0.0310414 0.0378241i 0.00130824 0.00159410i −0.772356 0.635190i \(-0.780922\pi\)
0.773664 + 0.633596i \(0.218422\pi\)
\(564\) −16.0665 2.75118i −0.676522 0.115846i
\(565\) 2.34862 + 7.74237i 0.0988073 + 0.325724i
\(566\) −4.92626 30.4021i −0.207066 1.27789i
\(567\) 0.0684071 + 0.0457082i 0.00287283 + 0.00191956i
\(568\) −22.8934 4.76719i −0.960584 0.200027i
\(569\) −1.47604 2.20904i −0.0618787 0.0926080i 0.799240 0.601012i \(-0.205236\pi\)
−0.861119 + 0.508404i \(0.830236\pi\)
\(570\) −0.319927 + 8.95554i −0.0134003 + 0.375106i
\(571\) −11.3641 + 9.32631i −0.475575 + 0.390294i −0.841420 0.540382i \(-0.818280\pi\)
0.365845 + 0.930676i \(0.380780\pi\)
\(572\) −3.15201 + 0.395850i −0.131792 + 0.0165513i
\(573\) 1.80152 + 3.37041i 0.0752597 + 0.140801i
\(574\) −0.655306 0.380952i −0.0273519 0.0159006i
\(575\) 17.2793i 0.720598i
\(576\) −6.57113 4.56293i −0.273797 0.190122i
\(577\) 29.1517i 1.21360i −0.794854 0.606801i \(-0.792452\pi\)
0.794854 0.606801i \(-0.207548\pi\)
\(578\) −17.9865 + 30.9400i −0.748140 + 1.28693i
\(579\) 2.25169 + 4.21261i 0.0935770 + 0.175070i
\(580\) −24.4566 + 31.4817i −1.01551 + 1.30721i
\(581\) −0.853012 + 0.700049i −0.0353889 + 0.0290429i
\(582\) 8.04866 + 0.287529i 0.333628 + 0.0119185i
\(583\) 0.914731 + 1.36899i 0.0378843 + 0.0566979i
\(584\) −40.5222 + 7.68395i −1.67682 + 0.317964i
\(585\) 11.1286 + 7.43589i 0.460111 + 0.307436i
\(586\) 36.4843 5.91182i 1.50715 0.244215i
\(587\) −11.1677 36.8150i −0.460940 1.51952i −0.812279 0.583269i \(-0.801773\pi\)
0.351339 0.936248i \(-0.385727\pi\)
\(588\) 8.07881 + 11.4173i 0.333165 + 0.470840i
\(589\) 5.44453 6.63418i 0.224338 0.273357i
\(590\) 73.5702 4.60163i 3.02884 0.189446i
\(591\) 9.67444 23.3562i 0.397953 0.960744i
\(592\) 11.0140 14.9890i 0.452674 0.616042i
\(593\) 6.27703 + 15.1541i 0.257767 + 0.622304i 0.998790 0.0491752i \(-0.0156593\pi\)
−0.741023 + 0.671479i \(0.765659\pi\)
\(594\) 0.281371 + 0.574882i 0.0115448 + 0.0235877i
\(595\) −2.03093 + 0.200029i −0.0832599 + 0.00820038i
\(596\) −0.253350 9.46616i −0.0103776 0.387749i
\(597\) −5.98586 3.19951i −0.244985 0.130947i
\(598\) −8.74573 2.06675i −0.357639 0.0845157i
\(599\) 8.07184 + 40.5799i 0.329807 + 1.65805i 0.688981 + 0.724779i \(0.258058\pi\)
−0.359175 + 0.933270i \(0.616942\pi\)
\(600\) −23.6908 12.9370i −0.967174 0.528150i
\(601\) 22.9927 + 4.57353i 0.937892 + 0.186558i 0.640291 0.768132i \(-0.278814\pi\)
0.297601 + 0.954690i \(0.403814\pi\)
\(602\) −0.443043 + 0.165242i −0.0180571 + 0.00673477i
\(603\) −15.7480 1.55104i −0.641307 0.0631632i
\(604\) −8.24873 + 7.14731i −0.335636 + 0.290820i
\(605\) 39.3956 + 11.9505i 1.60166 + 0.485859i
\(606\) −14.9241 19.5702i −0.606252 0.794983i
\(607\) 1.72803 1.72803i 0.0701384 0.0701384i −0.671167 0.741306i \(-0.734207\pi\)
0.741306 + 0.671167i \(0.234207\pi\)
\(608\) −9.24987 1.66928i −0.375132 0.0676982i
\(609\) 0.304067 + 0.304067i 0.0123214 + 0.0123214i
\(610\) 5.32442 39.5312i 0.215580 1.60057i
\(611\) −8.30331 + 27.3723i −0.335916 + 1.10737i
\(612\) 4.10790 + 12.3430i 0.166052 + 0.498936i
\(613\) −0.288436 + 2.92854i −0.0116498 + 0.118283i −0.999251 0.0387026i \(-0.987678\pi\)
0.987601 + 0.156985i \(0.0501775\pi\)
\(614\) −7.46620 + 16.3483i −0.301311 + 0.659765i
\(615\) −4.84689 + 24.3670i −0.195446 + 0.982572i
\(616\) −0.00938424 0.104898i −0.000378102 0.00422644i
\(617\) 18.0954 3.59941i 0.728495 0.144907i 0.183110 0.983092i \(-0.441384\pi\)
0.545385 + 0.838186i \(0.316384\pi\)
\(618\) 7.06763 + 11.4417i 0.284302 + 0.460251i
\(619\) 1.25595 2.34972i 0.0504810 0.0944432i −0.855416 0.517942i \(-0.826698\pi\)
0.905897 + 0.423499i \(0.139198\pi\)
\(620\) 16.0444 + 35.9803i 0.644357 + 1.44500i
\(621\) 0.177469 + 1.80188i 0.00712159 + 0.0723068i
\(622\) 25.3133 + 8.67703i 1.01497 + 0.347917i
\(623\) −0.410475 + 0.170024i −0.0164453 + 0.00681188i
\(624\) −9.38152 + 10.4435i −0.375561 + 0.418073i
\(625\) −16.9627 7.02620i −0.678510 0.281048i
\(626\) −17.5786 15.5091i −0.702583 0.619867i
\(627\) 0.581301 + 0.477062i 0.0232149 + 0.0190520i
\(628\) 0.578255 + 2.54868i 0.0230749 + 0.101703i
\(629\) −28.9435 + 8.77990i −1.15405 + 0.350078i
\(630\) −0.259529 + 0.359899i −0.0103399 + 0.0143387i
\(631\) −2.28938 + 3.42630i −0.0911387 + 0.136399i −0.874237 0.485499i \(-0.838638\pi\)
0.783099 + 0.621898i \(0.213638\pi\)
\(632\) 6.37828 + 15.7970i 0.253714 + 0.628371i
\(633\) 11.6086 7.75663i 0.461401 0.308298i
\(634\) −24.4220 26.2315i −0.969921 1.04179i
\(635\) −13.6280 16.6058i −0.540813 0.658982i
\(636\) 7.01665 + 1.92506i 0.278228 + 0.0763334i
\(637\) 21.6455 11.5698i 0.857626 0.458411i
\(638\) 0.856191 + 3.23392i 0.0338969 + 0.128032i
\(639\) 8.26765 0.327063
\(640\) 25.8585 34.5384i 1.02215 1.36525i
\(641\) 20.2964 0.801661 0.400830 0.916152i \(-0.368722\pi\)
0.400830 + 0.916152i \(0.368722\pi\)
\(642\) −6.62709 25.0311i −0.261550 0.987900i
\(643\) −14.7492 + 7.88360i −0.581651 + 0.310899i −0.735854 0.677140i \(-0.763219\pi\)
0.154203 + 0.988039i \(0.450719\pi\)
\(644\) 0.0788244 0.287308i 0.00310612 0.0113215i
\(645\) 9.83221 + 11.9806i 0.387143 + 0.471735i
\(646\) 10.4147 + 11.1863i 0.409760 + 0.440121i
\(647\) −1.82902 + 1.22211i −0.0719062 + 0.0480462i −0.591004 0.806669i \(-0.701268\pi\)
0.519097 + 0.854715i \(0.326268\pi\)
\(648\) 2.60333 + 1.10574i 0.102269 + 0.0434375i
\(649\) 3.43665 5.14332i 0.134900 0.201893i
\(650\) −27.7053 + 38.4201i −1.08669 + 1.50696i
\(651\) 0.406651 0.123356i 0.0159379 0.00483472i
\(652\) −32.3445 + 7.33846i −1.26671 + 0.287396i
\(653\) 12.3962 + 10.1733i 0.485102 + 0.398113i 0.844906 0.534915i \(-0.179656\pi\)
−0.359804 + 0.933028i \(0.617156\pi\)
\(654\) 1.61425 + 1.42420i 0.0631222 + 0.0556907i
\(655\) −20.3170 8.41556i −0.793849 0.328823i
\(656\) −24.5741 8.67022i −0.959458 0.338515i
\(657\) 13.4721 5.58032i 0.525596 0.217709i
\(658\) −0.897042 0.307493i −0.0349703 0.0119873i
\(659\) −3.52467 35.7866i −0.137302 1.39405i −0.778968 0.627063i \(-0.784257\pi\)
0.641667 0.766984i \(-0.278243\pi\)
\(660\) −3.15267 + 1.40584i −0.122717 + 0.0547223i
\(661\) −14.9982 + 28.0597i −0.583364 + 1.09140i 0.401137 + 0.916018i \(0.368615\pi\)
−0.984501 + 0.175379i \(0.943885\pi\)
\(662\) −11.1399 18.0341i −0.432963 0.700916i
\(663\) 22.3890 4.45346i 0.869518 0.172958i
\(664\) −24.3283 + 29.1089i −0.944122 + 1.12964i
\(665\) −0.101706 + 0.511308i −0.00394397 + 0.0198277i
\(666\) −2.73193 + 5.98195i −0.105860 + 0.231796i
\(667\) −0.927581 + 9.41789i −0.0359161 + 0.364662i
\(668\) −12.8616 + 4.28051i −0.497631 + 0.165618i
\(669\) −2.47168 + 8.14804i −0.0955607 + 0.315022i
\(670\) 11.3920 84.5796i 0.440110 3.26760i
\(671\) −2.36688 2.36688i −0.0913724 0.0913724i
\(672\) −0.334898 0.323179i −0.0129190 0.0124669i
\(673\) −17.1049 + 17.1049i −0.659347 + 0.659347i −0.955226 0.295879i \(-0.904388\pi\)
0.295879 + 0.955226i \(0.404388\pi\)
\(674\) −15.6148 20.4759i −0.601461 0.788701i
\(675\) 9.13252 + 2.77032i 0.351511 + 0.106630i
\(676\) −0.893957 1.03172i −0.0343830 0.0396815i
\(677\) 0.532383 + 0.0524352i 0.0204611 + 0.00201525i 0.108243 0.994125i \(-0.465478\pi\)
−0.0877814 + 0.996140i \(0.527978\pi\)
\(678\) 2.81118 1.04849i 0.107963 0.0402669i
\(679\) 0.459531 + 0.0914063i 0.0176352 + 0.00350785i
\(680\) −67.3171 + 19.7642i −2.58149 + 0.757921i
\(681\) −3.16844 15.9288i −0.121415 0.610394i
\(682\) 3.21731 + 0.760301i 0.123197 + 0.0291134i
\(683\) −23.5966 12.6126i −0.902899 0.482609i −0.0464963 0.998918i \(-0.514806\pi\)
−0.856402 + 0.516309i \(0.827306\pi\)
\(684\) 3.32196 0.0889082i 0.127018 0.00339949i
\(685\) −34.1892 + 3.36734i −1.30630 + 0.128660i
\(686\) 0.715742 + 1.46236i 0.0273271 + 0.0558333i
\(687\) −4.79735 11.5818i −0.183030 0.441874i
\(688\) −13.9063 + 8.41900i −0.530171 + 0.320971i
\(689\) 4.88605 11.7960i 0.186144 0.449391i
\(690\) −9.74590 + 0.609581i −0.371020 + 0.0232064i
\(691\) −11.7781 + 14.3517i −0.448061 + 0.545964i −0.947236 0.320537i \(-0.896137\pi\)
0.499175 + 0.866501i \(0.333637\pi\)
\(692\) −3.23542 + 2.28937i −0.122992 + 0.0870288i
\(693\) 0.0108087 + 0.0356317i 0.000410590 + 0.00135353i
\(694\) −14.0589 + 2.27807i −0.533670 + 0.0864744i
\(695\) −50.5252 33.7598i −1.91653 1.28058i
\(696\) 12.2179 + 8.32290i 0.463119 + 0.315479i
\(697\) 23.5415 + 35.2324i 0.891698 + 1.33452i
\(698\) 34.1939 + 1.22154i 1.29426 + 0.0462360i
\(699\) −7.15639 + 5.87310i −0.270680 + 0.222141i
\(700\) −1.24010 0.963374i −0.0468714 0.0364121i
\(701\) −11.0503 20.6736i −0.417363 0.780830i 0.582116 0.813105i \(-0.302225\pi\)
−0.999479 + 0.0322750i \(0.989725\pi\)
\(702\) 2.49449 4.29096i 0.0941485 0.161952i
\(703\) 7.72652i 0.291411i
\(704\) −0.988825 3.48300i −0.0372678 0.131271i
\(705\) 31.0814i 1.17059i
\(706\) 36.7374 + 21.3568i 1.38263 + 0.803773i
\(707\) −0.674937 1.26272i −0.0253836 0.0474894i
\(708\) −3.40623 27.1227i −0.128014 1.01933i
\(709\) 10.5032 8.61976i 0.394456 0.323722i −0.416169 0.909287i \(-0.636627\pi\)
0.810625 + 0.585565i \(0.199127\pi\)
\(710\) −1.59189 + 44.5609i −0.0597425 + 1.67234i
\(711\) −3.34629 5.00808i −0.125496 0.187818i
\(712\) −12.7756 + 8.37192i −0.478785 + 0.313751i
\(713\) 7.77588 + 5.19568i 0.291209 + 0.194580i
\(714\) 0.121048 + 0.747040i 0.00453011 + 0.0279573i
\(715\) 1.75839 + 5.79662i 0.0657599 + 0.216781i
\(716\) 6.33589 37.0007i 0.236783 1.38278i
\(717\) 9.44979 11.5146i 0.352909 0.430021i
\(718\) −1.78301 28.5065i −0.0665413 1.06385i
\(719\) −1.43846 + 3.47275i −0.0536454 + 0.129512i −0.948430 0.316986i \(-0.897329\pi\)
0.894785 + 0.446498i \(0.147329\pi\)
\(720\) −6.46096 + 13.8185i −0.240786 + 0.514986i
\(721\) 0.299402 + 0.722820i 0.0111503 + 0.0269192i
\(722\) −20.6275 + 10.0959i −0.767675 + 0.375732i
\(723\) 9.48032 0.933730i 0.352577 0.0347258i
\(724\) −19.6980 18.6711i −0.732070 0.693905i
\(725\) 43.9911 + 23.5137i 1.63379 + 0.873277i
\(726\) 3.51105 14.8575i 0.130307 0.551412i
\(727\) 1.42057 + 7.14170i 0.0526861 + 0.264871i 0.998146 0.0608682i \(-0.0193869\pi\)
−0.945460 + 0.325739i \(0.894387\pi\)
\(728\) −0.635927 + 0.512434i −0.0235690 + 0.0189921i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) 27.4828 + 73.6861i 1.01718 + 2.72725i
\(731\) 26.3065 + 2.59097i 0.972982 + 0.0958304i
\(732\) −14.7542 1.05550i −0.545332 0.0390125i
\(733\) 2.46699 + 0.748352i 0.0911202 + 0.0276410i 0.335516 0.942035i \(-0.391089\pi\)
−0.244395 + 0.969676i \(0.578589\pi\)
\(734\) −30.8644 + 23.5371i −1.13923 + 0.868770i
\(735\) 18.8580 18.8580i 0.695590 0.695590i
\(736\) 0.822271 10.2092i 0.0303093 0.376316i
\(737\) −5.06410 5.06410i −0.186538 0.186538i
\(738\) 9.13072 + 1.22981i 0.336106 + 0.0452699i
\(739\) 13.4743 44.4187i 0.495659 1.63397i −0.250438 0.968133i \(-0.580575\pi\)
0.746098 0.665837i \(-0.231925\pi\)
\(740\) −31.7155 15.8763i −1.16588 0.583625i
\(741\) 0.571587 5.80342i 0.0209978 0.213194i
\(742\) 0.385028 + 0.175841i 0.0141348 + 0.00645531i
\(743\) 9.43705 47.4433i 0.346212 1.74052i −0.279203 0.960232i \(-0.590070\pi\)
0.625415 0.780292i \(-0.284930\pi\)
\(744\) 12.9453 6.77114i 0.474598 0.248242i
\(745\) −17.7095 + 3.52265i −0.648827 + 0.129060i
\(746\) 44.5120 27.4955i 1.62970 1.00668i
\(747\) 6.32268 11.8289i 0.231335 0.432797i
\(748\) −2.10670 + 5.49763i −0.0770286 + 0.201013i
\(749\) −0.147650 1.49912i −0.00539502 0.0547765i
\(750\) −7.94573 + 23.1799i −0.290137 + 0.846410i
\(751\) 18.0446 7.47431i 0.658456 0.272741i −0.0283327 0.999599i \(-0.509020\pi\)
0.686789 + 0.726857i \(0.259020\pi\)
\(752\) −32.2687 4.64069i −1.17672 0.169229i
\(753\) −16.5808 6.86799i −0.604237 0.250283i
\(754\) 17.1629 19.4531i 0.625035 0.708441i
\(755\) 16.0876 + 13.2028i 0.585488 + 0.480498i
\(756\) 0.139211 + 0.0877233i 0.00506306 + 0.00319047i
\(757\) 33.2132 10.0751i 1.20715 0.366186i 0.378316 0.925676i \(-0.376503\pi\)
0.828837 + 0.559490i \(0.189003\pi\)
\(758\) −12.1238 8.74267i −0.440357 0.317548i
\(759\) −0.455256 + 0.681339i −0.0165248 + 0.0247311i
\(760\) −0.160428 + 17.9218i −0.00581932 + 0.650092i
\(761\) 10.2681 6.86092i 0.372218 0.248708i −0.355365 0.934728i \(-0.615643\pi\)
0.727583 + 0.686019i \(0.240643\pi\)
\(762\) −5.83053 + 5.42832i −0.211218 + 0.196647i
\(763\) 0.0794482 + 0.0968079i 0.00287622 + 0.00350468i
\(764\) 3.78210 + 6.64202i 0.136832 + 0.240300i
\(765\) 21.8759 11.6929i 0.790923 0.422757i
\(766\) −22.2818 + 5.89919i −0.805074 + 0.213146i
\(767\) −47.9690 −1.73206
\(768\) −13.3817 8.77098i −0.482871 0.316495i
\(769\) 34.2663 1.23568 0.617838 0.786306i \(-0.288009\pi\)
0.617838 + 0.786306i \(0.288009\pi\)
\(770\) −0.194128 + 0.0513962i −0.00699590 + 0.00185219i
\(771\) 6.80955 3.63978i 0.245240 0.131083i
\(772\) 4.72718 + 8.30173i 0.170135 + 0.298786i
\(773\) 6.74169 + 8.21478i