Properties

Label 384.2.v.a.13.7
Level $384$
Weight $2$
Character 384.13
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 13.7
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.06403 - 0.931580i) q^{2} +(0.290285 + 0.956940i) q^{3} +(0.264317 + 1.98246i) q^{4} +(-0.231940 - 2.35493i) q^{5} +(0.582595 - 1.28864i) q^{6} +(0.430118 - 0.643717i) q^{7} +(1.56558 - 2.35563i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(-1.06403 - 0.931580i) q^{2} +(0.290285 + 0.956940i) q^{3} +(0.264317 + 1.98246i) q^{4} +(-0.231940 - 2.35493i) q^{5} +(0.582595 - 1.28864i) q^{6} +(0.430118 - 0.643717i) q^{7} +(1.56558 - 2.35563i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(-1.94701 + 2.72179i) q^{10} +(2.50304 - 1.33790i) q^{11} +(-1.82037 + 0.828413i) q^{12} +(-2.62518 - 0.258558i) q^{13} +(-1.05733 + 0.284245i) q^{14} +(2.18620 - 0.905553i) q^{15} +(-3.86027 + 1.04800i) q^{16} +(0.809188 + 0.335177i) q^{17} +(1.40227 + 0.183437i) q^{18} +(0.782804 - 0.642431i) q^{19} +(4.60724 - 1.08226i) q^{20} +(0.740856 + 0.224736i) q^{21} +(-3.90966 - 0.908213i) q^{22} +(1.67434 - 8.41747i) q^{23} +(2.70866 + 0.814361i) q^{24} +(-0.587974 + 0.116955i) q^{25} +(2.55240 + 2.72068i) q^{26} +(-0.773010 - 0.634393i) q^{27} +(1.38983 + 0.682545i) q^{28} +(2.09512 - 3.91970i) q^{29} +(-3.16978 - 1.07308i) q^{30} +(5.38932 - 5.38932i) q^{31} +(5.08374 + 2.48106i) q^{32} +(2.00688 + 2.00688i) q^{33} +(-0.548756 - 1.11046i) q^{34} +(-1.61567 - 0.863594i) q^{35} +(-1.32117 - 1.50151i) q^{36} +(-1.98847 + 2.42296i) q^{37} +(-1.43140 - 0.0456795i) q^{38} +(-0.514625 - 2.58720i) q^{39} +(-5.91045 - 3.14046i) q^{40} +(0.0909338 + 0.0180878i) q^{41} +(-0.578932 - 0.929292i) q^{42} +(1.94008 - 6.39559i) q^{43} +(3.31393 + 4.60853i) q^{44} +(1.50118 + 1.82919i) q^{45} +(-9.62309 + 7.39665i) q^{46} +(-3.55765 + 8.58892i) q^{47} +(-2.12345 - 3.38983i) q^{48} +(2.44941 + 5.91341i) q^{49} +(0.734575 + 0.423301i) q^{50} +(-0.0858492 + 0.871641i) q^{51} +(-0.181301 - 5.27265i) q^{52} +(-3.74120 - 6.99929i) q^{53} +(0.231518 + 1.39513i) q^{54} +(-3.73122 - 5.58416i) q^{55} +(-0.842974 - 2.02099i) q^{56} +(0.842004 + 0.562609i) q^{57} +(-5.88079 + 2.21890i) q^{58} +(1.53129 - 0.150819i) q^{59} +(2.37307 + 4.09469i) q^{60} +(-4.76028 + 1.44402i) q^{61} +(-10.7550 + 0.713812i) q^{62} +0.774192i q^{63} +(-3.09794 - 7.37582i) q^{64} +6.24208i q^{65} +(-0.265811 - 4.00496i) q^{66} +(-5.86212 + 1.77825i) q^{67} +(-0.450591 + 1.69277i) q^{68} +(8.54105 - 0.841220i) q^{69} +(0.914614 + 2.42402i) q^{70} +(-3.79243 - 2.53402i) q^{71} +(0.00698639 + 2.82842i) q^{72} +(6.25875 + 9.36688i) q^{73} +(4.37297 - 0.725680i) q^{74} +(-0.282599 - 0.528706i) q^{75} +(1.48050 + 1.38207i) q^{76} +(0.215371 - 2.18670i) q^{77} +(-1.86260 + 3.23227i) q^{78} +(4.49830 + 10.8599i) q^{79} +(3.36331 + 8.84760i) q^{80} +(0.382683 - 0.923880i) q^{81} +(-0.0799059 - 0.103958i) q^{82} +(0.226883 + 0.276458i) q^{83} +(-0.249709 + 1.52812i) q^{84} +(0.601634 - 1.98332i) q^{85} +(-8.02231 + 4.99776i) q^{86} +(4.35910 + 0.867080i) q^{87} +(0.767101 - 7.99080i) q^{88} +(1.91512 + 9.62797i) q^{89} +(0.106740 - 3.34479i) q^{90} +(-1.29558 + 1.57866i) q^{91} +(17.1298 + 1.09442i) q^{92} +(6.72169 + 3.59282i) q^{93} +(11.7867 - 5.82463i) q^{94} +(-1.69444 - 1.69444i) q^{95} +(-0.898491 + 5.58504i) q^{96} +(-7.99181 + 7.99181i) q^{97} +(2.90256 - 8.57387i) q^{98} +(-1.33790 + 2.50304i) 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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.06403 0.931580i −0.752382 0.658727i
\(3\) 0.290285 + 0.956940i 0.167596 + 0.552490i
\(4\) 0.264317 + 1.98246i 0.132159 + 0.991229i
\(5\) −0.231940 2.35493i −0.103727 1.05316i −0.896321 0.443407i \(-0.853770\pi\)
0.792594 0.609750i \(-0.208730\pi\)
\(6\) 0.582595 1.28864i 0.237843 0.526083i
\(7\) 0.430118 0.643717i 0.162569 0.243302i −0.741238 0.671243i \(-0.765761\pi\)
0.903807 + 0.427941i \(0.140761\pi\)
\(8\) 1.56558 2.35563i 0.553515 0.832839i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) −1.94701 + 2.72179i −0.615700 + 0.860704i
\(11\) 2.50304 1.33790i 0.754694 0.403392i −0.0487208 0.998812i \(-0.515514\pi\)
0.803414 + 0.595420i \(0.203014\pi\)
\(12\) −1.82037 + 0.828413i −0.525494 + 0.239142i
\(13\) −2.62518 0.258558i −0.728094 0.0717110i −0.272823 0.962064i \(-0.587957\pi\)
−0.455270 + 0.890353i \(0.650457\pi\)
\(14\) −1.05733 + 0.284245i −0.282584 + 0.0759676i
\(15\) 2.18620 0.905553i 0.564474 0.233813i
\(16\) −3.86027 + 1.04800i −0.965068 + 0.261999i
\(17\) 0.809188 + 0.335177i 0.196257 + 0.0812923i 0.478647 0.878007i \(-0.341127\pi\)
−0.282390 + 0.959300i \(0.591127\pi\)
\(18\) 1.40227 + 0.183437i 0.330517 + 0.0432366i
\(19\) 0.782804 0.642431i 0.179588 0.147384i −0.540305 0.841469i \(-0.681691\pi\)
0.719892 + 0.694086i \(0.244191\pi\)
\(20\) 4.60724 1.08226i 1.03021 0.242001i
\(21\) 0.740856 + 0.224736i 0.161668 + 0.0490414i
\(22\) −3.90966 0.908213i −0.833543 0.193632i
\(23\) 1.67434 8.41747i 0.349124 1.75516i −0.263377 0.964693i \(-0.584836\pi\)
0.612501 0.790470i \(-0.290164\pi\)
\(24\) 2.70866 + 0.814361i 0.552902 + 0.166231i
\(25\) −0.587974 + 0.116955i −0.117595 + 0.0233911i
\(26\) 2.55240 + 2.72068i 0.500567 + 0.533569i
\(27\) −0.773010 0.634393i −0.148766 0.122089i
\(28\) 1.38983 + 0.682545i 0.262653 + 0.128989i
\(29\) 2.09512 3.91970i 0.389055 0.727870i −0.608801 0.793323i \(-0.708349\pi\)
0.997856 + 0.0654527i \(0.0208491\pi\)
\(30\) −3.16978 1.07308i −0.578719 0.195917i
\(31\) 5.38932 5.38932i 0.967950 0.967950i −0.0315517 0.999502i \(-0.510045\pi\)
0.999502 + 0.0315517i \(0.0100449\pi\)
\(32\) 5.08374 + 2.48106i 0.898686 + 0.438593i
\(33\) 2.00688 + 2.00688i 0.349354 + 0.349354i
\(34\) −0.548756 1.11046i −0.0941109 0.190442i
\(35\) −1.61567 0.863594i −0.273098 0.145974i
\(36\) −1.32117 1.50151i −0.220194 0.250251i
\(37\) −1.98847 + 2.42296i −0.326903 + 0.398332i −0.910364 0.413809i \(-0.864198\pi\)
0.583461 + 0.812141i \(0.301698\pi\)
\(38\) −1.43140 0.0456795i −0.232204 0.00741019i
\(39\) −0.514625 2.58720i −0.0824060 0.414283i
\(40\) −5.91045 3.14046i −0.934525 0.496550i
\(41\) 0.0909338 + 0.0180878i 0.0142015 + 0.00282485i 0.202186 0.979347i \(-0.435195\pi\)
−0.187984 + 0.982172i \(0.560195\pi\)
\(42\) −0.578932 0.929292i −0.0893312 0.143393i
\(43\) 1.94008 6.39559i 0.295860 0.975319i −0.675431 0.737423i \(-0.736042\pi\)
0.971291 0.237896i \(-0.0764576\pi\)
\(44\) 3.31393 + 4.60853i 0.499593 + 0.694762i
\(45\) 1.50118 + 1.82919i 0.223783 + 0.272680i
\(46\) −9.62309 + 7.39665i −1.41885 + 1.09058i
\(47\) −3.55765 + 8.58892i −0.518936 + 1.25282i 0.419621 + 0.907699i \(0.362163\pi\)
−0.938557 + 0.345123i \(0.887837\pi\)
\(48\) −2.12345 3.38983i −0.306493 0.489280i
\(49\) 2.44941 + 5.91341i 0.349916 + 0.844773i
\(50\) 0.734575 + 0.423301i 0.103885 + 0.0598638i
\(51\) −0.0858492 + 0.871641i −0.0120213 + 0.122054i
\(52\) −0.181301 5.27265i −0.0251419 0.731185i
\(53\) −3.74120 6.99929i −0.513893 0.961427i −0.996338 0.0855003i \(-0.972751\pi\)
0.482445 0.875926i \(-0.339749\pi\)
\(54\) 0.231518 + 1.39513i 0.0315056 + 0.189854i
\(55\) −3.73122 5.58416i −0.503117 0.752968i
\(56\) −0.842974 2.02099i −0.112647 0.270066i
\(57\) 0.842004 + 0.562609i 0.111526 + 0.0745194i
\(58\) −5.88079 + 2.21890i −0.772186 + 0.291356i
\(59\) 1.53129 0.150819i 0.199357 0.0196350i 0.00215431 0.999998i \(-0.499314\pi\)
0.197203 + 0.980363i \(0.436814\pi\)
\(60\) 2.37307 + 4.09469i 0.306362 + 0.528623i
\(61\) −4.76028 + 1.44402i −0.609492 + 0.184887i −0.579917 0.814675i \(-0.696915\pi\)
−0.0295743 + 0.999563i \(0.509415\pi\)
\(62\) −10.7550 + 0.713812i −1.36588 + 0.0906542i
\(63\) 0.774192i 0.0975390i
\(64\) −3.09794 7.37582i −0.387243 0.921978i
\(65\) 6.24208i 0.774235i
\(66\) −0.265811 4.00496i −0.0327190 0.492976i
\(67\) −5.86212 + 1.77825i −0.716172 + 0.217248i −0.627281 0.778793i \(-0.715832\pi\)
−0.0888909 + 0.996041i \(0.528332\pi\)
\(68\) −0.450591 + 1.69277i −0.0546422 + 0.205279i
\(69\) 8.54105 0.841220i 1.02822 0.101271i
\(70\) 0.914614 + 2.42402i 0.109317 + 0.289725i
\(71\) −3.79243 2.53402i −0.450079 0.300733i 0.309795 0.950803i \(-0.399739\pi\)
−0.759874 + 0.650070i \(0.774739\pi\)
\(72\) 0.00698639 + 2.82842i 0.000823354 + 0.333332i
\(73\) 6.25875 + 9.36688i 0.732531 + 1.09631i 0.991460 + 0.130414i \(0.0416306\pi\)
−0.258929 + 0.965896i \(0.583369\pi\)
\(74\) 4.37297 0.725680i 0.508348 0.0843586i
\(75\) −0.282599 0.528706i −0.0326317 0.0610497i
\(76\) 1.48050 + 1.38207i 0.169825 + 0.158534i
\(77\) 0.215371 2.18670i 0.0245438 0.249198i
\(78\) −1.86260 + 3.23227i −0.210898 + 0.365982i
\(79\) 4.49830 + 10.8599i 0.506098 + 1.22183i 0.946112 + 0.323839i \(0.104974\pi\)
−0.440014 + 0.897991i \(0.645026\pi\)
\(80\) 3.36331 + 8.84760i 0.376029 + 0.989192i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) −0.0799059 0.103958i −0.00882413 0.0114802i
\(83\) 0.226883 + 0.276458i 0.0249037 + 0.0303452i 0.785313 0.619098i \(-0.212502\pi\)
−0.760410 + 0.649444i \(0.775002\pi\)
\(84\) −0.249709 + 1.52812i −0.0272455 + 0.166731i
\(85\) 0.601634 1.98332i 0.0652564 0.215121i
\(86\) −8.02231 + 4.99776i −0.865068 + 0.538922i
\(87\) 4.35910 + 0.867080i 0.467345 + 0.0929607i
\(88\) 0.767101 7.99080i 0.0817732 0.851822i
\(89\) 1.91512 + 9.62797i 0.203003 + 1.02056i 0.939089 + 0.343675i \(0.111672\pi\)
−0.736086 + 0.676888i \(0.763328\pi\)
\(90\) 0.106740 3.34479i 0.0112514 0.352571i
\(91\) −1.29558 + 1.57866i −0.135813 + 0.165489i
\(92\) 17.1298 + 1.09442i 1.78591 + 0.114101i
\(93\) 6.72169 + 3.59282i 0.697007 + 0.372558i
\(94\) 11.7867 5.82463i 1.21571 0.600765i
\(95\) −1.69444 1.69444i −0.173846 0.173846i
\(96\) −0.898491 + 5.58504i −0.0917019 + 0.570021i
\(97\) −7.99181 + 7.99181i −0.811446 + 0.811446i −0.984851 0.173405i \(-0.944523\pi\)
0.173405 + 0.984851i \(0.444523\pi\)
\(98\) 2.90256 8.57387i 0.293203 0.866091i
\(99\) −1.33790 + 2.50304i −0.134464 + 0.251565i
\(100\) −0.387270 1.13472i −0.0387270 0.113472i
\(101\) 13.9233 + 11.4265i 1.38542 + 1.13698i 0.974262 + 0.225417i \(0.0723745\pi\)
0.411155 + 0.911565i \(0.365126\pi\)
\(102\) 0.903349 0.847476i 0.0894449 0.0839127i
\(103\) 13.8738 2.75966i 1.36702 0.271918i 0.543599 0.839345i \(-0.317061\pi\)
0.823424 + 0.567427i \(0.192061\pi\)
\(104\) −4.71898 + 5.77915i −0.462734 + 0.566692i
\(105\) 0.357403 1.79679i 0.0348790 0.175349i
\(106\) −2.53965 + 10.9327i −0.246673 + 1.06188i
\(107\) −11.8066 3.58148i −1.14138 0.346235i −0.337678 0.941262i \(-0.609641\pi\)
−0.803706 + 0.595027i \(0.797141\pi\)
\(108\) 1.05334 1.70014i 0.101357 0.163596i
\(109\) −5.28727 + 4.33915i −0.506428 + 0.415615i −0.852606 0.522554i \(-0.824979\pi\)
0.346178 + 0.938169i \(0.387479\pi\)
\(110\) −1.23197 + 9.41764i −0.117464 + 0.897937i
\(111\) −2.89585 1.19950i −0.274862 0.113852i
\(112\) −0.985760 + 2.93569i −0.0931456 + 0.277396i
\(113\) −1.03978 + 0.430691i −0.0978142 + 0.0405160i −0.431054 0.902326i \(-0.641858\pi\)
0.333240 + 0.942842i \(0.391858\pi\)
\(114\) −0.371802 1.38303i −0.0348224 0.129532i
\(115\) −20.2109 1.99060i −1.88468 0.185624i
\(116\) 8.32442 + 3.11745i 0.772903 + 0.289448i
\(117\) 2.32640 1.24349i 0.215076 0.114961i
\(118\) −1.76984 1.26604i −0.162927 0.116549i
\(119\) 0.563805 0.376723i 0.0516839 0.0345341i
\(120\) 1.28952 6.56758i 0.117716 0.599535i
\(121\) −1.63606 + 2.44854i −0.148733 + 0.222595i
\(122\) 6.41030 + 2.89811i 0.580361 + 0.262382i
\(123\) 0.00908768 + 0.0922688i 0.000819409 + 0.00831960i
\(124\) 12.1086 + 9.25961i 1.08738 + 0.831537i
\(125\) −3.02274 9.96465i −0.270362 0.891265i
\(126\) 0.721222 0.823763i 0.0642515 0.0733866i
\(127\) 12.2766 1.08937 0.544685 0.838640i \(-0.316649\pi\)
0.544685 + 0.838640i \(0.316649\pi\)
\(128\) −3.57487 + 10.7341i −0.315977 + 0.948767i
\(129\) 6.68338 0.588439
\(130\) 5.81500 6.64176i 0.510009 0.582521i
\(131\) −1.44963 4.77879i −0.126655 0.417525i 0.870564 0.492055i \(-0.163754\pi\)
−0.997219 + 0.0745306i \(0.976254\pi\)
\(132\) −3.44811 + 4.50901i −0.300119 + 0.392459i
\(133\) −0.0768455 0.780226i −0.00666335 0.0676541i
\(134\) 7.89405 + 3.56892i 0.681942 + 0.308308i
\(135\) −1.31466 + 1.96753i −0.113148 + 0.169338i
\(136\) 2.05640 1.38140i 0.176334 0.118454i
\(137\) −13.8188 + 9.23343i −1.18062 + 0.788865i −0.981566 0.191124i \(-0.938787\pi\)
−0.199054 + 0.979989i \(0.563787\pi\)
\(138\) −9.87159 7.06159i −0.840326 0.601122i
\(139\) 13.5623 7.24919i 1.15034 0.614868i 0.217819 0.975989i \(-0.430106\pi\)
0.932519 + 0.361121i \(0.117606\pi\)
\(140\) 1.28499 3.43126i 0.108601 0.289994i
\(141\) −9.25181 0.911224i −0.779143 0.0767389i
\(142\) 1.67462 + 6.22923i 0.140531 + 0.522745i
\(143\) −6.91684 + 2.86505i −0.578415 + 0.239587i
\(144\) 2.62746 3.01603i 0.218955 0.251336i
\(145\) −9.71657 4.02473i −0.806917 0.334236i
\(146\) 2.06650 15.7972i 0.171025 1.30738i
\(147\) −4.94775 + 4.06051i −0.408084 + 0.334906i
\(148\) −5.32900 3.30163i −0.438041 0.271392i
\(149\) −11.8690 3.60042i −0.972345 0.294958i −0.236142 0.971718i \(-0.575883\pi\)
−0.736203 + 0.676761i \(0.763383\pi\)
\(150\) −0.191838 + 0.825822i −0.0156635 + 0.0674281i
\(151\) −1.13738 + 5.71801i −0.0925589 + 0.465325i 0.906510 + 0.422184i \(0.138736\pi\)
−0.999069 + 0.0431408i \(0.986264\pi\)
\(152\) −0.287787 2.84977i −0.0233426 0.231147i
\(153\) −0.859029 + 0.170872i −0.0694484 + 0.0138141i
\(154\) −2.26625 + 2.12608i −0.182620 + 0.171324i
\(155\) −13.9415 11.4415i −1.11981 0.919001i
\(156\) 4.99298 1.70406i 0.399758 0.136434i
\(157\) −1.17072 + 2.19026i −0.0934334 + 0.174802i −0.924296 0.381675i \(-0.875347\pi\)
0.830863 + 0.556477i \(0.187847\pi\)
\(158\) 5.33050 15.7457i 0.424072 1.25266i
\(159\) 5.61189 5.61189i 0.445052 0.445052i
\(160\) 4.66359 12.5473i 0.368689 0.991951i
\(161\) −4.69830 4.69830i −0.370278 0.370278i
\(162\) −1.26785 + 0.626535i −0.0996120 + 0.0492252i
\(163\) 5.01315 + 2.67959i 0.392660 + 0.209881i 0.655898 0.754850i \(-0.272290\pi\)
−0.263237 + 0.964731i \(0.584790\pi\)
\(164\) −0.0118230 + 0.185053i −0.000923223 + 0.0144502i
\(165\) 4.26059 5.19155i 0.331687 0.404161i
\(166\) 0.0161324 0.505520i 0.00125211 0.0392360i
\(167\) −2.93003 14.7302i −0.226732 1.13986i −0.911564 0.411159i \(-0.865124\pi\)
0.684831 0.728702i \(-0.259876\pi\)
\(168\) 1.68926 1.39334i 0.130329 0.107498i
\(169\) −5.92549 1.17865i −0.455807 0.0906657i
\(170\) −2.48778 + 1.54984i −0.190804 + 0.118867i
\(171\) −0.293962 + 0.969064i −0.0224799 + 0.0741062i
\(172\) 13.1918 + 2.15566i 1.00586 + 0.164368i
\(173\) −8.31267 10.1290i −0.632001 0.770095i 0.354286 0.935137i \(-0.384724\pi\)
−0.986287 + 0.165042i \(0.947224\pi\)
\(174\) −3.83046 4.98345i −0.290386 0.377795i
\(175\) −0.177612 + 0.428793i −0.0134262 + 0.0324137i
\(176\) −8.26029 + 7.78783i −0.622643 + 0.587030i
\(177\) 0.588835 + 1.42157i 0.0442596 + 0.106852i
\(178\) 6.93148 12.0285i 0.519536 0.901576i
\(179\) −1.78349 + 18.1081i −0.133304 + 1.35346i 0.663025 + 0.748597i \(0.269272\pi\)
−0.796329 + 0.604864i \(0.793228\pi\)
\(180\) −3.22951 + 3.45951i −0.240713 + 0.257857i
\(181\) 0.835013 + 1.56220i 0.0620661 + 0.116117i 0.911041 0.412315i \(-0.135280\pi\)
−0.848975 + 0.528433i \(0.822780\pi\)
\(182\) 2.84918 0.472812i 0.211195 0.0350471i
\(183\) −2.76367 4.13613i −0.204297 0.305752i
\(184\) −17.2071 17.1223i −1.26852 1.26227i
\(185\) 6.16711 + 4.12073i 0.453415 + 0.302962i
\(186\) −3.80508 10.0847i −0.279002 0.739443i
\(187\) 2.47386 0.243654i 0.180906 0.0178177i
\(188\) −17.9675 4.78268i −1.31042 0.348813i
\(189\) −0.740856 + 0.224736i −0.0538893 + 0.0163471i
\(190\) 0.224428 + 3.38145i 0.0162817 + 0.245316i
\(191\) 8.65026i 0.625911i 0.949768 + 0.312955i \(0.101319\pi\)
−0.949768 + 0.312955i \(0.898681\pi\)
\(192\) 6.15894 5.10563i 0.444483 0.368467i
\(193\) 13.9983i 1.00762i −0.863814 0.503811i \(-0.831931\pi\)
0.863814 0.503811i \(-0.168069\pi\)
\(194\) 15.9485 1.05851i 1.14504 0.0759967i
\(195\) −5.97330 + 1.81198i −0.427757 + 0.129759i
\(196\) −11.0757 + 6.41887i −0.791118 + 0.458491i
\(197\) 3.80115 0.374380i 0.270821 0.0266735i 0.0383047 0.999266i \(-0.487804\pi\)
0.232516 + 0.972593i \(0.425304\pi\)
\(198\) 3.75534 1.41694i 0.266881 0.100698i
\(199\) 17.5486 + 11.7256i 1.24399 + 0.831207i 0.990684 0.136180i \(-0.0434825\pi\)
0.253305 + 0.967387i \(0.418483\pi\)
\(200\) −0.645015 + 1.56815i −0.0456094 + 0.110885i
\(201\) −3.40337 5.09350i −0.240055 0.359268i
\(202\) −4.17004 25.1288i −0.293403 1.76806i
\(203\) −1.62203 3.03460i −0.113844 0.212987i
\(204\) −1.75068 + 0.0601975i −0.122572 + 0.00421467i
\(205\) 0.0215044 0.218338i 0.00150193 0.0152494i
\(206\) −17.3329 9.98816i −1.20764 0.695908i
\(207\) 3.28433 + 7.92908i 0.228277 + 0.551109i
\(208\) 10.4049 1.75307i 0.721448 0.121554i
\(209\) 1.09988 2.65534i 0.0760802 0.183674i
\(210\) −2.05414 + 1.57889i −0.141749 + 0.108953i
\(211\) −4.30331 5.24360i −0.296252 0.360985i 0.603517 0.797350i \(-0.293765\pi\)
−0.899770 + 0.436365i \(0.856265\pi\)
\(212\) 12.8869 9.26680i 0.885078 0.636447i
\(213\) 1.32402 4.36472i 0.0907206 0.299066i
\(214\) 9.22609 + 14.8096i 0.630683 + 1.01236i
\(215\) −15.5112 3.08536i −1.05785 0.210420i
\(216\) −2.70460 + 0.827732i −0.184025 + 0.0563200i
\(217\) −1.15115 5.78724i −0.0781454 0.392864i
\(218\) 9.66807 + 0.308531i 0.654804 + 0.0208964i
\(219\) −7.14673 + 8.70831i −0.482931 + 0.588453i
\(220\) 10.0841 8.87297i 0.679872 0.598215i
\(221\) −2.03760 1.08912i −0.137064 0.0732622i
\(222\) 1.96384 + 3.97402i 0.131804 + 0.266719i
\(223\) −2.57334 2.57334i −0.172324 0.172324i 0.615676 0.788000i \(-0.288883\pi\)
−0.788000 + 0.615676i \(0.788883\pi\)
\(224\) 3.78370 2.20534i 0.252809 0.147351i
\(225\) 0.423906 0.423906i 0.0282604 0.0282604i
\(226\) 1.50758 + 0.510370i 0.100283 + 0.0339493i
\(227\) 6.38326 11.9422i 0.423672 0.792635i −0.576020 0.817435i \(-0.695395\pi\)
0.999692 + 0.0248006i \(0.00789508\pi\)
\(228\) −0.892792 + 1.81794i −0.0591266 + 0.120396i
\(229\) 16.7475 + 13.7443i 1.10670 + 0.908249i 0.996326 0.0856409i \(-0.0272938\pi\)
0.110378 + 0.993890i \(0.464794\pi\)
\(230\) 19.6506 + 20.9461i 1.29572 + 1.38115i
\(231\) 2.15506 0.428669i 0.141793 0.0282043i
\(232\) −5.95327 11.0719i −0.390852 0.726907i
\(233\) −3.58230 + 18.0095i −0.234685 + 1.17984i 0.666198 + 0.745775i \(0.267921\pi\)
−0.900882 + 0.434064i \(0.857079\pi\)
\(234\) −3.63377 0.844123i −0.237547 0.0551820i
\(235\) 21.0515 + 6.38589i 1.37325 + 0.416570i
\(236\) 0.703739 + 2.99585i 0.0458095 + 0.195014i
\(237\) −9.08645 + 7.45706i −0.590228 + 0.484388i
\(238\) −0.950853 0.124386i −0.0616346 0.00806273i
\(239\) 18.2635 + 7.56497i 1.18137 + 0.489337i 0.884934 0.465717i \(-0.154203\pi\)
0.296431 + 0.955054i \(0.404203\pi\)
\(240\) −7.49031 + 5.78681i −0.483497 + 0.373537i
\(241\) 9.45432 3.91611i 0.609007 0.252259i −0.0567971 0.998386i \(-0.518089\pi\)
0.665804 + 0.746127i \(0.268089\pi\)
\(242\) 4.02183 1.08120i 0.258533 0.0695020i
\(243\) 0.995185 + 0.0980171i 0.0638411 + 0.00628780i
\(244\) −4.12092 9.05538i −0.263815 0.579711i
\(245\) 13.3575 7.13976i 0.853382 0.456142i
\(246\) 0.0762862 0.106643i 0.00486383 0.00679929i
\(247\) −2.22111 + 1.48410i −0.141326 + 0.0944308i
\(248\) −4.25783 21.1326i −0.270372 1.34192i
\(249\) −0.198693 + 0.297366i −0.0125917 + 0.0188448i
\(250\) −6.06658 + 13.4186i −0.383684 + 0.848667i
\(251\) 1.29551 + 13.1536i 0.0817721 + 0.830246i 0.945356 + 0.326041i \(0.105715\pi\)
−0.863584 + 0.504206i \(0.831785\pi\)
\(252\) −1.53480 + 0.204632i −0.0966835 + 0.0128906i
\(253\) −7.07080 23.3093i −0.444538 1.46544i
\(254\) −13.0626 11.4366i −0.819623 0.717597i
\(255\) 2.07257 0.129789
\(256\) 13.8034 8.09110i 0.862713 0.505693i
\(257\) 26.1424 1.63072 0.815359 0.578956i \(-0.196540\pi\)
0.815359 + 0.578956i \(0.196540\pi\)
\(258\) −7.11131 6.22610i −0.442731 0.387620i
\(259\) 0.704423 + 2.32217i 0.0437707 + 0.144293i
\(260\) −12.3747 + 1.64989i −0.767444 + 0.102322i
\(261\) 0.435638 + 4.42310i 0.0269653 + 0.273783i
\(262\) −2.90937 + 6.43522i −0.179742 + 0.397569i
\(263\) −11.6024 + 17.3642i −0.715434 + 1.07072i 0.278467 + 0.960446i \(0.410174\pi\)
−0.993901 + 0.110277i \(0.964826\pi\)
\(264\) 7.86940 1.58554i 0.484328 0.0975831i
\(265\) −15.6151 + 10.4337i −0.959228 + 0.640936i
\(266\) −0.645077 + 0.901771i −0.0395522 + 0.0552911i
\(267\) −8.65746 + 4.62751i −0.529828 + 0.283199i
\(268\) −5.07477 11.1514i −0.309991 0.681179i
\(269\) −25.2084 2.48281i −1.53698 0.151380i −0.706216 0.707997i \(-0.749599\pi\)
−0.830769 + 0.556617i \(0.812099\pi\)
\(270\) 3.23175 0.868796i 0.196678 0.0528732i
\(271\) 24.1437 10.0007i 1.46663 0.607497i 0.500539 0.865714i \(-0.333135\pi\)
0.966087 + 0.258217i \(0.0831350\pi\)
\(272\) −3.47495 0.445848i −0.210700 0.0270335i
\(273\) −1.88677 0.781526i −0.114193 0.0473001i
\(274\) 23.3053 + 3.04868i 1.40792 + 0.184177i
\(275\) −1.31524 + 1.07939i −0.0793122 + 0.0650899i
\(276\) 3.92523 + 16.7099i 0.236271 + 1.00582i
\(277\) −10.9544 3.32297i −0.658184 0.199658i −0.0565130 0.998402i \(-0.517998\pi\)
−0.601671 + 0.798744i \(0.705498\pi\)
\(278\) −21.1839 4.92100i −1.27052 0.295142i
\(279\) −1.48691 + 7.47520i −0.0890190 + 0.447529i
\(280\) −4.56376 + 2.45389i −0.272737 + 0.146648i
\(281\) 25.5356 5.07935i 1.52333 0.303009i 0.638755 0.769410i \(-0.279450\pi\)
0.884573 + 0.466402i \(0.154450\pi\)
\(282\) 8.99532 + 9.58837i 0.535664 + 0.570979i
\(283\) −15.0461 12.3480i −0.894400 0.734015i 0.0702557 0.997529i \(-0.477618\pi\)
−0.964656 + 0.263514i \(0.915118\pi\)
\(284\) 4.02119 8.18812i 0.238613 0.485876i
\(285\) 1.12961 2.11335i 0.0669124 0.125184i
\(286\) 10.0287 + 3.39509i 0.593012 + 0.200756i
\(287\) 0.0507557 0.0507557i 0.00299601 0.00299601i
\(288\) −5.60537 + 0.761450i −0.330300 + 0.0448689i
\(289\) −11.4784 11.4784i −0.675198 0.675198i
\(290\) 6.58935 + 13.3342i 0.386940 + 0.783011i
\(291\) −9.96759 5.32779i −0.584310 0.312320i
\(292\) −16.9151 + 14.8835i −0.989884 + 0.870993i
\(293\) −0.953331 + 1.16164i −0.0556942 + 0.0678635i −0.800112 0.599850i \(-0.795227\pi\)
0.744418 + 0.667714i \(0.232727\pi\)
\(294\) 9.04725 + 0.288719i 0.527646 + 0.0168385i
\(295\) −0.710336 3.57110i −0.0413574 0.207918i
\(296\) 2.59448 + 8.47742i 0.150801 + 0.492740i
\(297\) −2.78363 0.553698i −0.161522 0.0321288i
\(298\) 9.27488 + 14.8879i 0.537279 + 0.862431i
\(299\) −6.57184 + 21.6644i −0.380059 + 1.25289i
\(300\) 0.973440 0.699986i 0.0562016 0.0404137i
\(301\) −3.28249 3.99972i −0.189199 0.230540i
\(302\) 6.53699 5.02457i 0.376162 0.289131i
\(303\) −6.89280 + 16.6407i −0.395981 + 0.955983i
\(304\) −2.34857 + 3.30033i −0.134700 + 0.189287i
\(305\) 4.50466 + 10.8752i 0.257936 + 0.622713i
\(306\) 1.07321 + 0.618442i 0.0613515 + 0.0353540i
\(307\) −1.25347 + 12.7267i −0.0715391 + 0.726348i 0.890782 + 0.454431i \(0.150158\pi\)
−0.962321 + 0.271917i \(0.912342\pi\)
\(308\) 4.39197 0.151019i 0.250256 0.00860508i
\(309\) 6.66817 + 12.4753i 0.379339 + 0.709694i
\(310\) 4.17549 + 25.1617i 0.237152 + 1.42909i
\(311\) −8.01776 11.9994i −0.454646 0.680425i 0.531358 0.847147i \(-0.321682\pi\)
−0.986004 + 0.166722i \(0.946682\pi\)
\(312\) −6.90015 2.83819i −0.390644 0.160681i
\(313\) 12.4740 + 8.33487i 0.705073 + 0.471115i 0.855698 0.517476i \(-0.173128\pi\)
−0.150625 + 0.988591i \(0.548128\pi\)
\(314\) 3.28608 1.23988i 0.185444 0.0699706i
\(315\) 1.82317 0.179566i 0.102724 0.0101174i
\(316\) −20.3402 + 11.7881i −1.14423 + 0.663135i
\(317\) −13.0343 + 3.95391i −0.732078 + 0.222074i −0.634248 0.773130i \(-0.718690\pi\)
−0.0978303 + 0.995203i \(0.531190\pi\)
\(318\) −11.1991 + 0.743292i −0.628017 + 0.0416817i
\(319\) 12.6142i 0.706261i
\(320\) −16.6510 + 9.00619i −0.930820 + 0.503461i
\(321\) 12.3378i 0.688630i
\(322\) 0.622288 + 9.37598i 0.0346787 + 0.522503i
\(323\) 0.848763 0.257470i 0.0472265 0.0143260i
\(324\) 1.93270 + 0.514456i 0.107372 + 0.0285809i
\(325\) 1.57378 0.155003i 0.0872974 0.00859804i
\(326\) −2.83789 7.52131i −0.157176 0.416567i
\(327\) −5.68712 3.80001i −0.314498 0.210141i
\(328\) 0.184972 0.185888i 0.0102134 0.0102639i
\(329\) 3.99863 + 5.98437i 0.220451 + 0.329929i
\(330\) −9.36974 + 1.55488i −0.515787 + 0.0855931i
\(331\) 12.1189 + 22.6728i 0.666114 + 1.24621i 0.957176 + 0.289508i \(0.0934916\pi\)
−0.291061 + 0.956704i \(0.594008\pi\)
\(332\) −0.488098 + 0.522859i −0.0267878 + 0.0286956i
\(333\) 0.307229 3.11935i 0.0168361 0.170939i
\(334\) −10.6048 + 18.4030i −0.580267 + 1.00697i
\(335\) 5.54733 + 13.3924i 0.303083 + 0.731707i
\(336\) −3.09543 0.0911294i −0.168869 0.00497152i
\(337\) 12.3955 29.9255i 0.675228 1.63015i −0.0973685 0.995248i \(-0.531043\pi\)
0.772597 0.634897i \(-0.218957\pi\)
\(338\) 5.20689 + 6.77419i 0.283217 + 0.368468i
\(339\) −0.713977 0.869984i −0.0387779 0.0472510i
\(340\) 4.09087 + 0.668488i 0.221859 + 0.0362538i
\(341\) 6.27929 20.7000i 0.340042 1.12097i
\(342\) 1.21555 0.757264i 0.0657292 0.0409481i
\(343\) 10.1753 + 2.02400i 0.549415 + 0.109285i
\(344\) −12.0283 14.5829i −0.648521 0.786257i
\(345\) −3.96203 19.9185i −0.213308 1.07237i
\(346\) −0.591065 + 18.5215i −0.0317759 + 0.995721i
\(347\) 20.5130 24.9952i 1.10120 1.34181i 0.166632 0.986019i \(-0.446711\pi\)
0.934565 0.355793i \(-0.115789\pi\)
\(348\) −0.566762 + 8.87092i −0.0303816 + 0.475531i
\(349\) 9.14259 + 4.88682i 0.489392 + 0.261585i 0.697585 0.716502i \(-0.254258\pi\)
−0.208193 + 0.978088i \(0.566758\pi\)
\(350\) 0.588440 0.290789i 0.0314534 0.0155433i
\(351\) 1.86526 + 1.86526i 0.0995604 + 0.0995604i
\(352\) 16.0442 0.591362i 0.855157 0.0315197i
\(353\) 18.9124 18.9124i 1.00660 1.00660i 0.00662587 0.999978i \(-0.497891\pi\)
0.999978 0.00662587i \(-0.00210909\pi\)
\(354\) 0.697772 2.06114i 0.0370861 0.109549i
\(355\) −5.08783 + 9.51866i −0.270034 + 0.505198i
\(356\) −18.5808 + 6.34149i −0.984782 + 0.336098i
\(357\) 0.524165 + 0.430171i 0.0277418 + 0.0227671i
\(358\) 18.7668 17.6061i 0.991857 0.930509i
\(359\) 15.1705 3.01761i 0.800671 0.159263i 0.222237 0.974993i \(-0.428664\pi\)
0.578434 + 0.815729i \(0.303664\pi\)
\(360\) 6.65911 0.672477i 0.350966 0.0354426i
\(361\) −3.50665 + 17.6291i −0.184561 + 0.927849i
\(362\) 0.566836 2.44011i 0.0297922 0.128249i
\(363\) −2.81803 0.854841i −0.147908 0.0448675i
\(364\) −3.47207 2.15115i −0.181986 0.112751i
\(365\) 20.6067 16.9115i 1.07860 0.885187i
\(366\) −0.912506 + 6.97555i −0.0476975 + 0.364618i
\(367\) −4.83399 2.00230i −0.252332 0.104519i 0.252932 0.967484i \(-0.418605\pi\)
−0.505264 + 0.862965i \(0.668605\pi\)
\(368\) 2.35806 + 34.2484i 0.122923 + 1.78532i
\(369\) −0.0856577 + 0.0354806i −0.00445916 + 0.00184705i
\(370\) −2.72319 10.1297i −0.141572 0.526620i
\(371\) −6.11472 0.602247i −0.317461 0.0312671i
\(372\) −5.34595 + 14.2751i −0.277175 + 0.740130i
\(373\) 5.53240 2.95713i 0.286457 0.153114i −0.321910 0.946770i \(-0.604325\pi\)
0.608367 + 0.793656i \(0.291825\pi\)
\(374\) −2.85924 2.04534i −0.147848 0.105762i
\(375\) 8.65812 5.78517i 0.447103 0.298745i
\(376\) 14.6625 + 21.8271i 0.756161 + 1.12565i
\(377\) −6.51355 + 9.74821i −0.335465 + 0.502058i
\(378\) 0.997652 + 0.451040i 0.0513137 + 0.0231990i
\(379\) 0.497588 + 5.05210i 0.0255594 + 0.259509i 0.999469 + 0.0325740i \(0.0103704\pi\)
−0.973910 + 0.226935i \(0.927130\pi\)
\(380\) 2.91129 3.80703i 0.149346 0.195297i
\(381\) 3.56370 + 11.7480i 0.182574 + 0.601866i
\(382\) 8.05841 9.20413i 0.412304 0.470924i
\(383\) −23.1125 −1.18099 −0.590497 0.807040i \(-0.701068\pi\)
−0.590497 + 0.807040i \(0.701068\pi\)
\(384\) −11.3096 0.304997i −0.577140 0.0155643i
\(385\) −5.19948 −0.264990
\(386\) −13.0406 + 14.8947i −0.663748 + 0.758118i
\(387\) 1.94008 + 6.39559i 0.0986199 + 0.325106i
\(388\) −17.9558 13.7311i −0.911568 0.697089i
\(389\) −2.54738 25.8639i −0.129157 1.31135i −0.813231 0.581941i \(-0.802293\pi\)
0.684074 0.729413i \(-0.260207\pi\)
\(390\) 8.04378 + 3.63661i 0.407312 + 0.184147i
\(391\) 4.17619 6.25011i 0.211199 0.316082i
\(392\) 17.7645 + 3.48799i 0.897244 + 0.176170i
\(393\) 4.15221 2.77442i 0.209451 0.139951i
\(394\) −4.39330 3.14272i −0.221331 0.158328i
\(395\) 24.5309 13.1120i 1.23428 0.659738i
\(396\) −5.31579 1.99073i −0.267129 0.100038i
\(397\) −3.57234 0.351845i −0.179291 0.0176586i 0.00797340 0.999968i \(-0.497462\pi\)
−0.187264 + 0.982310i \(0.559962\pi\)
\(398\) −7.74890 28.8243i −0.388417 1.44483i
\(399\) 0.724322 0.300024i 0.0362615 0.0150200i
\(400\) 2.14717 1.06767i 0.107359 0.0533837i
\(401\) −27.2918 11.3046i −1.36289 0.564526i −0.423036 0.906113i \(-0.639036\pi\)
−0.939850 + 0.341587i \(0.889036\pi\)
\(402\) −1.12372 + 8.59014i −0.0560460 + 0.428437i
\(403\) −15.5414 + 12.7545i −0.774171 + 0.635346i
\(404\) −18.9725 + 30.6225i −0.943915 + 1.52353i
\(405\) −2.26443 0.686908i −0.112521 0.0341327i
\(406\) −1.10109 + 4.73996i −0.0546461 + 0.235240i
\(407\) −1.73554 + 8.72513i −0.0860273 + 0.432489i
\(408\) 1.91886 + 1.56685i 0.0949976 + 0.0775706i
\(409\) −30.4705 + 6.06097i −1.50667 + 0.299696i −0.878259 0.478185i \(-0.841295\pi\)
−0.628412 + 0.777881i \(0.716295\pi\)
\(410\) −0.226281 + 0.212285i −0.0111752 + 0.0104840i
\(411\) −12.8472 10.5434i −0.633707 0.520070i
\(412\) 9.13799 + 26.7747i 0.450196 + 1.31910i
\(413\) 0.561551 1.05059i 0.0276321 0.0516961i
\(414\) 3.89195 11.4964i 0.191279 0.565017i
\(415\) 0.598417 0.598417i 0.0293751 0.0293751i
\(416\) −12.7042 7.82765i −0.622876 0.383782i
\(417\) 10.8740 + 10.8740i 0.532500 + 0.532500i
\(418\) −3.64397 + 1.80074i −0.178232 + 0.0880769i
\(419\) 31.1295 + 16.6391i 1.52078 + 0.812872i 0.999187 0.0403241i \(-0.0128390\pi\)
0.521590 + 0.853196i \(0.325339\pi\)
\(420\) 3.65652 + 0.233615i 0.178420 + 0.0113992i
\(421\) −18.9749 + 23.1210i −0.924782 + 1.12685i 0.0668516 + 0.997763i \(0.478705\pi\)
−0.991633 + 0.129087i \(0.958795\pi\)
\(422\) −0.305983 + 9.58823i −0.0148950 + 0.466748i
\(423\) −1.81367 9.11795i −0.0881838 0.443330i
\(424\) −22.3448 2.14506i −1.08516 0.104173i
\(425\) −0.514982 0.102436i −0.0249803 0.00496889i
\(426\) −5.47489 + 3.41076i −0.265259 + 0.165252i
\(427\) −1.11795 + 3.68537i −0.0541012 + 0.178348i
\(428\) 3.97946 24.3527i 0.192354 1.17713i
\(429\) −4.74953 5.78732i −0.229310 0.279415i
\(430\) 13.6301 + 17.7328i 0.657300 + 0.855152i
\(431\) −12.3007 + 29.6965i −0.592503 + 1.43043i 0.288575 + 0.957457i \(0.406819\pi\)
−0.881078 + 0.472971i \(0.843181\pi\)
\(432\) 3.64887 + 1.63882i 0.175556 + 0.0788478i
\(433\) −6.76264 16.3265i −0.324992 0.784600i −0.998949 0.0458297i \(-0.985407\pi\)
0.673957 0.738770i \(-0.264593\pi\)
\(434\) −4.16642 + 7.23019i −0.199994 + 0.347060i
\(435\) 1.03086 10.4665i 0.0494259 0.501830i
\(436\) −9.99969 9.33487i −0.478898 0.447059i
\(437\) −4.09696 7.66488i −0.195984 0.366661i
\(438\) 15.7168 2.60815i 0.750978 0.124622i
\(439\) −12.5469 18.7778i −0.598832 0.896215i 0.400971 0.916091i \(-0.368673\pi\)
−0.999802 + 0.0198761i \(0.993673\pi\)
\(440\) −18.9957 + 0.0469207i −0.905584 + 0.00223686i
\(441\) −5.32193 3.55600i −0.253425 0.169333i
\(442\) 1.15346 + 3.05704i 0.0548647 + 0.145409i
\(443\) 9.82817 0.967990i 0.466950 0.0459906i 0.138194 0.990405i \(-0.455870\pi\)
0.328757 + 0.944415i \(0.393370\pi\)
\(444\) 1.61254 6.05795i 0.0765275 0.287498i
\(445\) 22.2290 6.74309i 1.05376 0.319653i
\(446\) 0.340838 + 5.13539i 0.0161391 + 0.243168i
\(447\) 12.4031i 0.586645i
\(448\) −6.08042 1.17828i −0.287273 0.0556683i
\(449\) 1.59790i 0.0754095i −0.999289 0.0377048i \(-0.987995\pi\)
0.999289 0.0377048i \(-0.0120046\pi\)
\(450\) −0.845950 + 0.0561460i −0.0398785 + 0.00264675i
\(451\) 0.251810 0.0763858i 0.0118573 0.00359687i
\(452\) −1.12866 1.94748i −0.0530876 0.0916017i
\(453\) −5.80196 + 0.571443i −0.272600 + 0.0268487i
\(454\) −17.9171 + 6.76038i −0.840893 + 0.317280i
\(455\) 4.01814 + 2.68483i 0.188373 + 0.125867i
\(456\) 2.64352 1.10264i 0.123794 0.0516358i
\(457\) 17.1124 + 25.6105i 0.800484 + 1.19801i 0.976901 + 0.213694i \(0.0685494\pi\)
−0.176417 + 0.984316i \(0.556451\pi\)
\(458\) −5.01589 30.2259i −0.234377 1.41237i
\(459\) −0.412877 0.772438i −0.0192714 0.0360543i
\(460\) −1.39581 40.5934i −0.0650800 1.89268i
\(461\) −1.28841 + 13.0814i −0.0600072 + 0.609263i 0.917410 + 0.397944i \(0.130276\pi\)
−0.977417 + 0.211319i \(0.932224\pi\)
\(462\) −2.69239 1.55150i −0.125261 0.0721822i
\(463\) −10.0686 24.3077i −0.467927 1.12968i −0.965067 0.262005i \(-0.915616\pi\)
0.497140 0.867670i \(-0.334384\pi\)
\(464\) −3.97992 + 17.3268i −0.184763 + 0.804377i
\(465\) 6.90181 16.6624i 0.320064 0.772702i
\(466\) 20.5889 15.8254i 0.953764 0.733097i
\(467\) 15.7402 + 19.1795i 0.728369 + 0.887520i 0.997132 0.0756866i \(-0.0241148\pi\)
−0.268763 + 0.963206i \(0.586615\pi\)
\(468\) 3.08007 + 4.28332i 0.142376 + 0.197997i
\(469\) −1.37671 + 4.53841i −0.0635706 + 0.209564i
\(470\) −16.4504 26.4059i −0.758801 1.21801i
\(471\) −2.43579 0.484508i −0.112235 0.0223250i
\(472\) 2.04208 3.84327i 0.0939943 0.176901i
\(473\) −3.70057 18.6040i −0.170152 0.855414i
\(474\) 16.6151 + 0.530228i 0.763157 + 0.0243542i
\(475\) −0.385133 + 0.469286i −0.0176711 + 0.0215323i
\(476\) 0.895860 + 1.01815i 0.0410617 + 0.0466666i
\(477\) 6.99929 + 3.74120i 0.320476 + 0.171298i
\(478\) −12.3855 25.0632i −0.566499 1.14637i
\(479\) 6.49046 + 6.49046i 0.296557 + 0.296557i 0.839664 0.543107i \(-0.182752\pi\)
−0.543107 + 0.839664i \(0.682752\pi\)
\(480\) 13.3608 + 0.820487i 0.609834 + 0.0374499i
\(481\) 5.84657 5.84657i 0.266581 0.266581i
\(482\) −13.7078 4.64060i −0.624375 0.211374i
\(483\) 3.13215 5.85984i 0.142518 0.266632i
\(484\) −5.28657 2.59623i −0.240299 0.118011i
\(485\) 20.6738 + 16.9665i 0.938748 + 0.770411i
\(486\) −0.967595 1.03139i −0.0438910 0.0467847i
\(487\) −9.27847 + 1.84560i −0.420447 + 0.0836322i −0.400780 0.916174i \(-0.631261\pi\)
−0.0196676 + 0.999807i \(0.506261\pi\)
\(488\) −4.05102 + 13.4742i −0.183381 + 0.609946i
\(489\) −1.10896 + 5.57513i −0.0501490 + 0.252116i
\(490\) −20.8641 4.84671i −0.942543 0.218952i
\(491\) 24.4455 + 7.41545i 1.10321 + 0.334654i 0.788810 0.614637i \(-0.210697\pi\)
0.314398 + 0.949291i \(0.398197\pi\)
\(492\) −0.180517 + 0.0424042i −0.00813833 + 0.00191173i
\(493\) 3.00914 2.46954i 0.135525 0.111222i
\(494\) 3.74588 + 0.490017i 0.168535 + 0.0220469i
\(495\) 6.20479 + 2.57011i 0.278884 + 0.115518i
\(496\) −15.1563 + 26.4522i −0.680536 + 1.18774i
\(497\) −3.26239 + 1.35133i −0.146338 + 0.0606152i
\(498\) 0.488435 0.131307i 0.0218873 0.00588401i
\(499\) −33.9793 3.34666i −1.52112 0.149817i −0.697346 0.716735i \(-0.745636\pi\)
−0.823775 + 0.566918i \(0.808136\pi\)
\(500\) 18.9555 8.62629i 0.847717 0.385779i
\(501\) 13.2454 7.07982i 0.591762 0.316303i
\(502\) 10.8751 15.2027i 0.485381 0.678528i
\(503\) −19.2516 + 12.8635i −0.858387 + 0.573556i −0.905026 0.425356i \(-0.860149\pi\)
0.0466390 + 0.998912i \(0.485149\pi\)
\(504\) 1.82371 + 1.21206i 0.0812343 + 0.0539893i
\(505\) 23.6793 35.4386i 1.05372 1.57700i
\(506\) −14.1909 + 31.3888i −0.630865 + 1.39540i
\(507\) −0.592178 6.01249i −0.0262996 0.267024i
\(508\) 3.24491 + 24.3378i 0.143970 + 1.07982i
\(509\) 1.86692 + 6.15441i 0.0827497 + 0.272789i 0.988545 0.150926i \(-0.0482256\pi\)
−0.905795 + 0.423716i \(0.860726\pi\)
\(510\) −2.20527 1.93076i −0.0976510 0.0854955i
\(511\) 8.72162 0.385822
\(512\) −22.2247 4.24982i −0.982204 0.187817i
\(513\) −1.01267 −0.0447105
\(514\) −27.8163 24.3537i −1.22692 1.07420i
\(515\) −9.71670 32.0317i −0.428169 1.41148i
\(516\) 1.76653 + 13.2495i 0.0777672 + 0.583277i
\(517\) 2.58620 + 26.2581i 0.113741 + 1.15483i
\(518\) 1.41376 3.12709i 0.0621171 0.137396i
\(519\) 7.27982 10.8950i 0.319549 0.478239i
\(520\) 14.7040 + 9.77246i 0.644814 + 0.428551i
\(521\) 17.5779 11.7452i 0.770101 0.514565i −0.107356 0.994221i \(-0.534238\pi\)
0.877457 + 0.479656i \(0.159238\pi\)
\(522\) 3.65694 5.11214i 0.160060 0.223752i
\(523\) 33.1950 17.7431i 1.45152 0.775852i 0.457937 0.888985i \(-0.348588\pi\)
0.993580 + 0.113133i \(0.0360885\pi\)
\(524\) 9.09058 4.13694i 0.397124 0.180723i
\(525\) −0.461888 0.0454920i −0.0201584 0.00198543i
\(526\) 28.5214 7.66747i 1.24359 0.334317i
\(527\) 6.16735 2.55460i 0.268654 0.111280i
\(528\) −9.85032 5.64391i −0.428680 0.245620i
\(529\) −46.8011 19.3857i −2.03483 0.842855i
\(530\) 26.3347 + 3.44498i 1.14391 + 0.149640i
\(531\) −1.18943 + 0.976141i −0.0516169 + 0.0423609i
\(532\) 1.52645 0.358570i 0.0661801 0.0155460i
\(533\) −0.234041 0.0709955i −0.0101374 0.00307515i
\(534\) 13.5227 + 3.14131i 0.585184 + 0.135938i
\(535\) −5.69572 + 28.6343i −0.246248 + 1.23797i
\(536\) −4.98869 + 16.5930i −0.215479 + 0.716706i
\(537\) −17.8461 + 3.54980i −0.770115 + 0.153185i
\(538\) 24.5096 + 26.1255i 1.05668 + 1.12635i
\(539\) 14.0425 + 11.5244i 0.604854 + 0.496391i
\(540\) −4.24803 2.08620i −0.182806 0.0897760i
\(541\) 1.19640 2.23831i 0.0514374 0.0962327i −0.854889 0.518811i \(-0.826375\pi\)
0.906326 + 0.422578i \(0.138875\pi\)
\(542\) −35.0060 11.8508i −1.50364 0.509036i
\(543\) −1.25254 + 1.25254i −0.0537517 + 0.0537517i
\(544\) 3.28211 + 3.71159i 0.140719 + 0.159133i
\(545\) 11.4447 + 11.4447i 0.490238 + 0.490238i
\(546\) 1.27953 + 2.58925i 0.0547587 + 0.110809i
\(547\) 3.93815 + 2.10499i 0.168383 + 0.0900027i 0.553435 0.832892i \(-0.313317\pi\)
−0.385052 + 0.922895i \(0.625817\pi\)
\(548\) −21.9574 24.9546i −0.937974 1.06601i
\(549\) 3.15578 3.84533i 0.134685 0.164115i
\(550\) 2.40500 + 0.0767493i 0.102550 + 0.00327260i
\(551\) −0.878065 4.41433i −0.0374068 0.188057i
\(552\) 11.3901 21.4365i 0.484793 0.912398i
\(553\) 8.92548 + 1.77539i 0.379550 + 0.0754972i
\(554\) 8.56016 + 13.7406i 0.363686 + 0.583783i
\(555\) −2.15308 + 7.09774i −0.0913930 + 0.301282i
\(556\) 17.9560 + 24.9706i 0.761502 + 1.05899i
\(557\) 12.8773 + 15.6910i 0.545628 + 0.664849i 0.970696 0.240312i \(-0.0772498\pi\)
−0.425068 + 0.905161i \(0.639750\pi\)
\(558\) 8.54586 6.56866i 0.361775 0.278073i
\(559\) −6.74669 + 16.2880i −0.285355 + 0.688907i
\(560\) 7.14197 + 1.64049i 0.301803 + 0.0693235i
\(561\) 0.951285 + 2.29661i 0.0401633 + 0.0969628i
\(562\) −31.9025 18.3839i −1.34572 0.775478i
\(563\) 0.371259 3.76946i 0.0156467 0.158864i −0.984186 0.177136i \(-0.943317\pi\)
0.999833 + 0.0182725i \(0.00581665\pi\)
\(564\) −0.638951 18.5822i −0.0269047 0.782451i
\(565\) 1.25541 + 2.34871i 0.0528156 + 0.0988111i
\(566\) 4.50634 + 27.1554i 0.189416 + 1.14142i
\(567\) −0.430118 0.643717i −0.0180633 0.0270336i
\(568\) −11.9065 + 4.96635i −0.499588 + 0.208383i
\(569\) 14.6703 + 9.80241i 0.615013 + 0.410938i 0.823685 0.567047i \(-0.191914\pi\)
−0.208673 + 0.977986i \(0.566914\pi\)
\(570\) −3.17070 + 1.19635i −0.132806 + 0.0501095i
\(571\) 34.4379 3.39184i 1.44118 0.141944i 0.652986 0.757370i \(-0.273516\pi\)
0.788195 + 0.615426i \(0.211016\pi\)
\(572\) −7.50808 12.9551i −0.313929 0.541678i
\(573\) −8.27778 + 2.51104i −0.345809 + 0.104900i
\(574\) −0.101289 + 0.00672256i −0.00422770 + 0.000280594i
\(575\) 5.14507i 0.214564i
\(576\) 6.67363 + 4.41165i 0.278068 + 0.183819i
\(577\) 17.3316i 0.721524i 0.932658 + 0.360762i \(0.117483\pi\)
−0.932658 + 0.360762i \(0.882517\pi\)
\(578\) 1.52030 + 22.9064i 0.0632363 + 0.952779i
\(579\) 13.3956 4.06350i 0.556701 0.168873i
\(580\) 5.41061 20.3265i 0.224663 0.844012i
\(581\) 0.275548 0.0271391i 0.0114316 0.00112592i
\(582\) 5.64255 + 14.9545i 0.233891 + 0.619885i
\(583\) −18.7287 12.5141i −0.775664 0.518282i
\(584\) 31.8634 0.0787049i 1.31852 0.00325683i
\(585\) −3.46792 5.19010i −0.143381 0.214584i
\(586\) 2.09653 0.347912i 0.0866068 0.0143721i
\(587\) −0.454744 0.850766i −0.0187693 0.0351149i 0.872362 0.488861i \(-0.162587\pi\)
−0.891131 + 0.453746i \(0.850087\pi\)
\(588\) −9.35757 8.73544i −0.385900 0.360244i
\(589\) 0.756517 7.68105i 0.0311717 0.316492i
\(590\) −2.57095 + 4.46149i −0.105844 + 0.183677i
\(591\) 1.46167 + 3.52880i 0.0601253 + 0.145155i
\(592\) 5.13679 11.4372i 0.211121 0.470066i
\(593\) −12.0858 + 29.1776i −0.496302 + 1.19818i 0.455159 + 0.890410i \(0.349583\pi\)
−0.951461 + 0.307769i \(0.900417\pi\)
\(594\) 2.44605 + 3.18232i 0.100363 + 0.130572i
\(595\) −1.01792 1.24034i −0.0417308 0.0508492i
\(596\) 4.00050 24.4814i 0.163867 1.00280i
\(597\) −6.12662 + 20.1967i −0.250746 + 0.826598i
\(598\) 27.1748 16.9294i 1.11126 0.692295i
\(599\) −17.4783 3.47666i −0.714145 0.142052i −0.175371 0.984502i \(-0.556113\pi\)
−0.538774 + 0.842450i \(0.681113\pi\)
\(600\) −1.68786 0.162031i −0.0689067 0.00661490i
\(601\) −5.93251 29.8248i −0.241992 1.21658i −0.890363 0.455252i \(-0.849549\pi\)
0.648370 0.761325i \(-0.275451\pi\)
\(602\) −0.233398 + 7.31372i −0.00951261 + 0.298085i
\(603\) 3.88623 4.73538i 0.158259 0.192840i
\(604\) −11.6363 0.743444i −0.473476 0.0302503i
\(605\) 6.14561 + 3.28490i 0.249855 + 0.133550i
\(606\) 22.8363 11.2850i 0.927660 0.458421i
\(607\) −27.8968 27.8968i −1.13229 1.13229i −0.989795 0.142500i \(-0.954486\pi\)
−0.142500 0.989795i \(-0.545514\pi\)
\(608\) 5.57348 1.32377i 0.226034 0.0536859i
\(609\) 2.43308 2.43308i 0.0985935 0.0985935i
\(610\) 5.33804 15.7680i 0.216131 0.638427i
\(611\) 11.5602 21.6276i 0.467675 0.874959i
\(612\) −0.565802 1.65782i −0.0228712 0.0670136i
\(613\) −9.24282 7.58539i −0.373314 0.306371i 0.428964 0.903322i \(-0.358879\pi\)
−0.802278 + 0.596951i \(0.796379\pi\)
\(614\) 13.1896 12.3738i 0.532290 0.499367i
\(615\) 0.215179 0.0428017i 0.00867685 0.00172593i
\(616\) −4.81387 3.93078i −0.193956 0.158376i
\(617\) −5.91214 + 29.7223i −0.238014 + 1.19658i 0.658162 + 0.752876i \(0.271334\pi\)
−0.896176 + 0.443699i \(0.853666\pi\)
\(618\) 4.52658 19.4860i 0.182086 0.783842i
\(619\) −8.59856 2.60834i −0.345605 0.104838i 0.112710 0.993628i \(-0.464047\pi\)
−0.458315 + 0.888790i \(0.651547\pi\)
\(620\) 18.9973 30.6626i 0.762948 1.23144i
\(621\) −6.63427 + 5.44460i −0.266224 + 0.218484i
\(622\) −2.64729 + 20.2369i −0.106147 + 0.811427i
\(623\) 7.02142 + 2.90837i 0.281307 + 0.116521i
\(624\) 4.69796 + 9.44796i 0.188069 + 0.378221i
\(625\) −25.5342 + 10.5766i −1.02137 + 0.423065i
\(626\) −5.50812 20.4891i −0.220149 0.818909i
\(627\) 2.86028 + 0.281713i 0.114229 + 0.0112505i
\(628\) −4.65153 1.74197i −0.185616 0.0695123i
\(629\) −2.42117 + 1.29414i −0.0965382 + 0.0516008i
\(630\) −2.10719 1.50736i −0.0839523 0.0600548i
\(631\) −24.2903 + 16.2302i −0.966980 + 0.646116i −0.935477 0.353388i \(-0.885030\pi\)
−0.0315034 + 0.999504i \(0.510030\pi\)
\(632\) 32.6242 + 6.40563i 1.29772 + 0.254802i
\(633\) 3.76863 5.64015i 0.149790 0.224176i
\(634\) 17.5522 + 7.93541i 0.697089 + 0.315155i
\(635\) −2.84744 28.9105i −0.112997 1.14728i
\(636\) 12.6087 + 9.64201i 0.499966 + 0.382331i
\(637\) −4.90119 16.1571i −0.194192 0.640167i
\(638\) −11.7512 + 13.4219i −0.465233 + 0.531378i
\(639\) 4.56112 0.180435
\(640\) 26.1072 + 5.92890i 1.03198 + 0.234360i
\(641\) 40.9256 1.61647 0.808233 0.588863i \(-0.200424\pi\)
0.808233 + 0.588863i \(0.200424\pi\)
\(642\) −11.4937 + 13.1278i −0.453619 + 0.518113i
\(643\) −1.45765 4.80523i −0.0574842 0.189500i 0.923496 0.383608i \(-0.125319\pi\)
−0.980980 + 0.194108i \(0.937819\pi\)
\(644\) 8.07234 10.5560i 0.318095 0.415966i
\(645\) −1.55015 15.7389i −0.0610369 0.619718i
\(646\) −1.14296 0.516736i −0.0449693 0.0203307i
\(647\) −16.0843 + 24.0719i −0.632339 + 0.946363i 0.367527 + 0.930013i \(0.380205\pi\)
−0.999866 + 0.0163500i \(0.994795\pi\)
\(648\) −1.57719 2.34786i −0.0619580 0.0922328i
\(649\) 3.63109 2.42622i 0.142533 0.0952375i
\(650\) −1.81894 1.30117i −0.0713448 0.0510361i
\(651\) 5.20388 2.78153i 0.203956 0.109017i
\(652\) −3.98710 + 10.6466i −0.156147 + 0.416954i
\(653\) −35.6850 3.51467i −1.39646 0.137540i −0.628388 0.777900i \(-0.716285\pi\)
−0.768075 + 0.640360i \(0.778785\pi\)
\(654\) 2.51125 + 9.34133i 0.0981975 + 0.365275i
\(655\) −10.9175 + 4.52217i −0.426581 + 0.176696i
\(656\) −0.369985 + 0.0254741i −0.0144455 + 0.000994597i
\(657\) −10.4079 4.31110i −0.406052 0.168192i
\(658\) 1.32026 10.0926i 0.0514691 0.393450i
\(659\) −25.3704 + 20.8209i −0.988289 + 0.811068i −0.981994 0.188912i \(-0.939504\pi\)
−0.00629502 + 0.999980i \(0.502004\pi\)
\(660\) 11.4182 + 7.07423i 0.444452 + 0.275364i
\(661\) 20.1883 + 6.12404i 0.785232 + 0.238198i 0.657344 0.753591i \(-0.271680\pi\)
0.127889 + 0.991789i \(0.459180\pi\)
\(662\) 8.22672 35.4143i 0.319740 1.37642i
\(663\) 0.450739 2.26602i 0.0175052 0.0880048i
\(664\) 1.00644 0.101636i 0.0390573 0.00394424i
\(665\) −1.81955 + 0.361932i −0.0705592 + 0.0140351i
\(666\) −3.23283 + 3.03287i −0.125270 + 0.117522i
\(667\) −29.4860 24.1985i −1.14170 0.936972i
\(668\) 28.4276 9.70211i 1.09990 0.375386i
\(669\) 1.71553 3.20954i 0.0663263 0.124088i
\(670\) 6.57360 19.4177i 0.253960 0.750172i
\(671\) −9.98321 + 9.98321i −0.385397 + 0.385397i
\(672\) 3.20873 + 2.98060i 0.123779 + 0.114979i
\(673\) −11.9744 11.9744i −0.461579 0.461579i 0.437594 0.899173i \(-0.355831\pi\)
−0.899173 + 0.437594i \(0.855831\pi\)
\(674\) −41.0672 + 20.2942i −1.58185 + 0.781702i
\(675\) 0.528706 + 0.282599i 0.0203499 + 0.0108772i
\(676\) 0.770421 12.0586i 0.0296316 0.463791i
\(677\) −3.04733 + 3.71319i −0.117119 + 0.142709i −0.828269 0.560330i \(-0.810674\pi\)
0.711151 + 0.703039i \(0.248174\pi\)
\(678\) −0.0507667 + 1.59082i −0.00194968 + 0.0610949i
\(679\) 1.70704 + 8.58189i 0.0655103 + 0.329343i
\(680\) −3.73006 4.52227i −0.143041 0.173421i
\(681\) 13.2810 + 2.64175i 0.508928 + 0.101232i
\(682\) −25.9651 + 16.1758i −0.994254 + 0.619403i
\(683\) −4.02956 + 13.2837i −0.154187 + 0.508286i −0.999669 0.0257174i \(-0.991813\pi\)
0.845482 + 0.534003i \(0.179313\pi\)
\(684\) −1.99883 0.326628i −0.0764271 0.0124889i
\(685\) 24.9492 + 30.4007i 0.953260 + 1.16155i
\(686\) −8.94132 11.6327i −0.341381 0.444139i
\(687\) −8.29094 + 20.0161i −0.316319 + 0.763662i
\(688\) −0.786694 + 26.7219i −0.0299924 + 1.01876i
\(689\) 8.01160 + 19.3417i 0.305218 + 0.736861i
\(690\) −14.3399 + 24.8848i −0.545912 + 0.947347i
\(691\) 3.49395 35.4746i 0.132916 1.34952i −0.665042 0.746806i \(-0.731586\pi\)
0.797958 0.602713i \(-0.205914\pi\)
\(692\) 17.8832 19.1568i 0.679816 0.728232i
\(693\) 1.03579 + 1.93783i 0.0393465 + 0.0736121i
\(694\) −45.1115 + 7.48610i −1.71241 + 0.284168i
\(695\) −20.2170 30.2568i −0.766874 1.14771i
\(696\) 8.86702 8.91094i 0.336104 0.337768i
\(697\) 0.0675199 + 0.0451153i 0.00255750 + 0.00170886i
\(698\) −5.17553 13.7168i −0.195897 0.519188i
\(699\) −18.2739 + 1.79982i −0.691181 + 0.0680754i
\(700\) −0.897010 0.238771i −0.0339038 0.00902469i
\(701\) 23.5879 7.15531i 0.890903 0.270252i 0.188535 0.982066i \(-0.439626\pi\)
0.702368 + 0.711814i \(0.252126\pi\)
\(702\) −0.247053 3.72234i −0.00932442 0.140491i
\(703\) 3.17416i 0.119716i
\(704\) −17.6224 14.3172i −0.664168 0.539600i
\(705\) 21.9987i 0.828520i
\(706\) −37.7417 + 2.50493i −1.42043 + 0.0942744i
\(707\) 13.3441 4.04789i 0.501857 0.152237i
\(708\) −2.66257 + 1.54309i −0.100065 + 0.0579927i
\(709\) −40.1676 + 3.95616i −1.50853 + 0.148577i −0.818205 0.574927i \(-0.805030\pi\)
−0.690320 + 0.723504i \(0.742530\pi\)
\(710\) 14.2810 5.38841i 0.535956 0.202223i
\(711\) −9.77362 6.53052i −0.366539 0.244914i
\(712\) 25.6782 + 10.5620i 0.962330 + 0.395828i
\(713\) −36.3409 54.3880i −1.36098 2.03685i
\(714\) −0.156988 0.946016i −0.00587514 0.0354038i
\(715\) 8.35129 + 15.6242i 0.312320 + 0.584310i
\(716\) −36.3699 + 1.25059i −1.35921 + 0.0467366i
\(717\) −1.93763 + 19.6730i −0.0723619 + 0.734703i
\(718\) −18.9531 10.9218i −0.707322 0.407596i
\(719\) −14.4744 34.9442i −0.539803 1.30320i −0.924860 0.380307i \(-0.875818\pi\)
0.385057 0.922893i \(-0.374182\pi\)
\(720\) −7.71195 5.48796i −0.287408 0.204524i
\(721\) 4.19091 10.1178i 0.156078 0.376805i
\(722\) 20.1541 15.4912i 0.750059 0.576522i
\(723\) 6.49193 + 7.91044i 0.241437 + 0.294192i
\(724\) −2.87629 + 2.06829i −0.106896 + 0.0768676i
\(725\) −0.773449 + 2.54972i −0.0287252 + 0.0946942i
\(726\) 2.20212 + 3.53480i 0.0817282 + 0.131189i
\(727\) −11.5031 2.28810i −0.426625 0.0848609i −0.0228921 0.999738i \(-0.507287\pi\)
−0.403733 + 0.914877i \(0.632287\pi\)
\(728\) 1.69042 + 5.52341i 0.0626510 + 0.204711i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) −37.6805 1.20248i −1.39462 0.0445056i
\(731\) 3.71354 4.52497i 0.137350 0.167362i
\(732\) 7.46921 6.57212i 0.276070 0.242912i
\(733\) 26.2366 + 14.0237i 0.969070 + 0.517979i 0.878412 0.477904i \(-0.158603\pi\)
0.0906574 + 0.995882i \(0.471103\pi\)
\(734\) 3.27820 + 6.63375i 0.121000 + 0.244856i
\(735\) 10.7098 + 10.7098i 0.395037 + 0.395037i
\(736\) 29.3961 38.6380i 1.08355 1.42422i
\(737\) −12.2940 + 12.2940i −0.452854 + 0.452854i
\(738\) 0.124195 + 0.0420446i 0.00457169 + 0.00154768i
\(739\) −0.487818 + 0.912644i −0.0179447 + 0.0335721i −0.890734 0.454525i \(-0.849809\pi\)
0.872789 + 0.488097i \(0.162309\pi\)
\(740\) −6.53910 + 13.3152i −0.240382 + 0.489477i
\(741\) −2.06494 1.69466i −0.0758576 0.0622548i
\(742\) 5.94520 + 6.33716i 0.218255 + 0.232645i
\(743\) 31.9183 6.34894i 1.17097 0.232920i 0.428968 0.903320i \(-0.358877\pi\)
0.742000 + 0.670399i \(0.233877\pi\)
\(744\) 18.9867 10.2090i 0.696085 0.374279i
\(745\) −5.72584 + 28.7857i −0.209778 + 1.05463i
\(746\) −8.64144 2.00740i −0.316386 0.0734961i
\(747\) −0.342239 0.103817i −0.0125219 0.00379846i
\(748\) 1.13692 + 4.83992i 0.0415698 + 0.176965i
\(749\) −7.38368 + 6.05963i −0.269794 + 0.221414i
\(750\) −14.6018 1.91014i −0.533184 0.0697484i
\(751\) 3.10927 + 1.28790i 0.113459 + 0.0469962i 0.438691 0.898638i \(-0.355442\pi\)
−0.325232 + 0.945634i \(0.605442\pi\)
\(752\) 4.73234 36.8840i 0.172571 1.34502i
\(753\) −12.2111 + 5.05801i −0.444998 + 0.184324i
\(754\) 16.0118 4.30449i 0.583117 0.156760i
\(755\) 13.7293 + 1.35222i 0.499661 + 0.0492123i
\(756\) −0.641351 1.40931i −0.0233257 0.0512562i
\(757\) −2.04544 + 1.09331i −0.0743427 + 0.0397370i −0.508149 0.861269i \(-0.669670\pi\)
0.433806 + 0.901006i \(0.357170\pi\)
\(758\) 4.17698 5.83912i 0.151715 0.212087i
\(759\) 20.2531 13.5327i 0.735140 0.491205i
\(760\) −6.64426 + 1.33869i −0.241012 + 0.0485595i
\(761\) −11.8233 + 17.6948i −0.428593 + 0.641435i −0.981422 0.191860i \(-0.938548\pi\)
0.552829 + 0.833294i \(0.313548\pi\)
\(762\) 7.15228 15.8201i 0.259100 0.573100i
\(763\) 0.519035 + 5.26985i 0.0187903 + 0.190781i
\(764\) −17.1488 + 2.28641i −0.620421 + 0.0827195i
\(765\) 0.601634 + 1.98332i 0.0217521 + 0.0717072i
\(766\) 24.5924 + 21.5312i 0.888560 + 0.777952i
\(767\) −4.05891 −0.146559
\(768\) 11.7496 + 10.8603i 0.423978 + 0.391888i
\(769\) 41.2073 1.48597 0.742987 0.669306i \(-0.233408\pi\)
0.742987 + 0.669306i \(0.233408\pi\)
\(770\) 5.53240 + 4.84374i 0.199374 + 0.174556i
\(771\) 7.58873 + 25.0167i 0.273302 + 0.900955i
\(772\) 27.7511 3.70000i 0.998785 0.133166i
\(773\) 3.04931 + 30.9601i 0.109676 + 1.11356i