Properties

Label 403.2.bs.a.4.16
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.16
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0758408 + 0.356803i) q^{2} +(1.47267 + 1.63557i) q^{3} +(1.70553 + 0.759353i) q^{4} -1.67783i q^{5} +(-0.695264 + 0.401411i) q^{6} +(0.425932 - 0.956658i) q^{7} +(-0.829106 + 1.14117i) q^{8} +(-0.192734 + 1.83374i) q^{9} +O(q^{10})\) \(q+(-0.0758408 + 0.356803i) q^{2} +(1.47267 + 1.63557i) q^{3} +(1.70553 + 0.759353i) q^{4} -1.67783i q^{5} +(-0.695264 + 0.401411i) q^{6} +(0.425932 - 0.956658i) q^{7} +(-0.829106 + 1.14117i) q^{8} +(-0.192734 + 1.83374i) q^{9} +(0.598654 + 0.127248i) q^{10} +(0.312518 - 0.0328469i) q^{11} +(1.26972 + 3.90779i) q^{12} +(3.55997 - 0.571497i) q^{13} +(0.309035 + 0.224527i) q^{14} +(2.74420 - 2.47089i) q^{15} +(2.15416 + 2.39244i) q^{16} +(-0.488474 + 4.64752i) q^{17} +(-0.639667 - 0.207840i) q^{18} +(-4.83893 - 4.35699i) q^{19} +(1.27406 - 2.86159i) q^{20} +(2.19194 - 0.712203i) q^{21} +(-0.0119817 + 0.113998i) q^{22} +(-4.53929 + 2.02102i) q^{23} +(-3.08745 + 0.324505i) q^{24} +2.18489 q^{25} +(-0.0660792 + 1.31355i) q^{26} +(2.05859 - 1.49565i) q^{27} +(1.45288 - 1.30818i) q^{28} +(-6.18119 - 1.31385i) q^{29} +(0.673498 + 1.16653i) q^{30} +(-5.56765 + 0.0358235i) q^{31} +(-3.46016 + 1.99773i) q^{32} +(0.513959 + 0.462771i) q^{33} +(-1.62120 - 0.526761i) q^{34} +(-1.60511 - 0.714640i) q^{35} +(-1.72117 + 2.98116i) q^{36} +(-8.51834 - 4.91807i) q^{37} +(1.92157 - 1.39611i) q^{38} +(6.17739 + 4.98094i) q^{39} +(1.91468 + 1.39110i) q^{40} +(-1.56139 + 7.34576i) q^{41} +(0.0878780 + 0.836103i) q^{42} +(5.13351 - 5.70135i) q^{43} +(0.557952 + 0.181290i) q^{44} +(3.07671 + 0.323375i) q^{45} +(-0.376843 - 1.77291i) q^{46} +(5.48737 + 1.78295i) q^{47} +(-0.740623 + 7.04656i) q^{48} +(3.95014 + 4.38707i) q^{49} +(-0.165704 + 0.779575i) q^{50} +(-8.32070 + 6.04534i) q^{51} +(6.50562 + 1.72857i) q^{52} +(-6.79286 - 4.93530i) q^{53} +(0.377528 + 0.847941i) q^{54} +(-0.0551115 - 0.524351i) q^{55} +(0.738563 + 1.27923i) q^{56} -14.3308i q^{57} +(0.937572 - 2.10582i) q^{58} +(-1.24862 - 5.87430i) q^{59} +(6.55661 - 2.13037i) q^{60} +(-2.52468 - 4.37287i) q^{61} +(0.409473 - 1.98927i) q^{62} +(1.67217 + 0.965429i) q^{63} +(1.53929 + 4.73745i) q^{64} +(-0.958874 - 5.97302i) q^{65} +(-0.204097 + 0.148285i) q^{66} +(12.5187 + 7.22765i) q^{67} +(-4.36222 + 7.55559i) q^{68} +(-9.99040 - 4.44801i) q^{69} +(0.376718 - 0.518508i) q^{70} +(11.9056 + 1.25133i) q^{71} +(-1.93281 - 1.74031i) q^{72} +(-4.55543 - 6.27002i) q^{73} +(2.40082 - 2.66638i) q^{74} +(3.21763 + 3.57354i) q^{75} +(-4.94447 - 11.1055i) q^{76} +(0.101688 - 0.312963i) q^{77} +(-2.24571 + 1.82635i) q^{78} +(-4.21955 - 3.06569i) q^{79} +(4.01410 - 3.61432i) q^{80} +(10.8885 + 2.31443i) q^{81} +(-2.50257 - 1.11422i) q^{82} +(-3.89726 + 1.26630i) q^{83} +(4.27924 + 0.449766i) q^{84} +(7.79775 + 0.819576i) q^{85} +(1.64493 + 2.26405i) q^{86} +(-6.95397 - 12.0446i) q^{87} +(-0.221626 + 0.383868i) q^{88} +(2.90804 - 0.305647i) q^{89} +(-0.348721 + 1.07325i) q^{90} +(0.969577 - 3.64909i) q^{91} -9.27658 q^{92} +(-8.25791 - 9.05351i) q^{93} +(-1.05233 + 1.82269i) q^{94} +(-7.31029 + 8.11890i) q^{95} +(-8.36310 - 2.71734i) q^{96} +(-1.10694 + 2.48623i) q^{97} +(-1.86490 + 1.07670i) q^{98} +0.579407i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0758408 + 0.356803i −0.0536275 + 0.252298i −0.996793 0.0800266i \(-0.974499\pi\)
0.943165 + 0.332324i \(0.107833\pi\)
\(3\) 1.47267 + 1.63557i 0.850247 + 0.944295i 0.999006 0.0445782i \(-0.0141944\pi\)
−0.148759 + 0.988874i \(0.547528\pi\)
\(4\) 1.70553 + 0.759353i 0.852767 + 0.379676i
\(5\) 1.67783i 0.750348i −0.926954 0.375174i \(-0.877583\pi\)
0.926954 0.375174i \(-0.122417\pi\)
\(6\) −0.695264 + 0.401411i −0.283840 + 0.163875i
\(7\) 0.425932 0.956658i 0.160987 0.361583i −0.814984 0.579484i \(-0.803254\pi\)
0.975971 + 0.217901i \(0.0699209\pi\)
\(8\) −0.829106 + 1.14117i −0.293133 + 0.403463i
\(9\) −0.192734 + 1.83374i −0.0642447 + 0.611247i
\(10\) 0.598654 + 0.127248i 0.189311 + 0.0402393i
\(11\) 0.312518 0.0328469i 0.0942276 0.00990372i −0.0572973 0.998357i \(-0.518248\pi\)
0.151525 + 0.988453i \(0.451582\pi\)
\(12\) 1.26972 + 3.90779i 0.366536 + 1.12808i
\(13\) 3.55997 0.571497i 0.987358 0.158505i
\(14\) 0.309035 + 0.224527i 0.0825931 + 0.0600074i
\(15\) 2.74420 2.47089i 0.708550 0.637981i
\(16\) 2.15416 + 2.39244i 0.538541 + 0.598110i
\(17\) −0.488474 + 4.64752i −0.118472 + 1.12719i 0.760175 + 0.649719i \(0.225113\pi\)
−0.878647 + 0.477471i \(0.841553\pi\)
\(18\) −0.639667 0.207840i −0.150771 0.0489885i
\(19\) −4.83893 4.35699i −1.11013 0.999562i −0.999984 0.00564665i \(-0.998203\pi\)
−0.110143 0.993916i \(-0.535131\pi\)
\(20\) 1.27406 2.86159i 0.284889 0.639872i
\(21\) 2.19194 0.712203i 0.478320 0.155415i
\(22\) −0.0119817 + 0.113998i −0.00255451 + 0.0243045i
\(23\) −4.53929 + 2.02102i −0.946507 + 0.421412i −0.821158 0.570701i \(-0.806672\pi\)
−0.125349 + 0.992113i \(0.540005\pi\)
\(24\) −3.08745 + 0.324505i −0.630224 + 0.0662392i
\(25\) 2.18489 0.436978
\(26\) −0.0660792 + 1.31355i −0.0129592 + 0.257608i
\(27\) 2.05859 1.49565i 0.396176 0.287838i
\(28\) 1.45288 1.30818i 0.274569 0.247223i
\(29\) −6.18119 1.31385i −1.14782 0.243976i −0.405546 0.914075i \(-0.632919\pi\)
−0.742272 + 0.670098i \(0.766252\pi\)
\(30\) 0.673498 + 1.16653i 0.122963 + 0.212979i
\(31\) −5.56765 + 0.0358235i −0.999979 + 0.00643409i
\(32\) −3.46016 + 1.99773i −0.611676 + 0.353151i
\(33\) 0.513959 + 0.462771i 0.0894688 + 0.0805581i
\(34\) −1.62120 0.526761i −0.278034 0.0903387i
\(35\) −1.60511 0.714640i −0.271313 0.120796i
\(36\) −1.72117 + 2.98116i −0.286862 + 0.496860i
\(37\) −8.51834 4.91807i −1.40041 0.808525i −0.405973 0.913885i \(-0.633067\pi\)
−0.994434 + 0.105360i \(0.966400\pi\)
\(38\) 1.92157 1.39611i 0.311721 0.226478i
\(39\) 6.17739 + 4.98094i 0.989174 + 0.797589i
\(40\) 1.91468 + 1.39110i 0.302738 + 0.219952i
\(41\) −1.56139 + 7.34576i −0.243848 + 1.14721i 0.670381 + 0.742017i \(0.266131\pi\)
−0.914229 + 0.405198i \(0.867203\pi\)
\(42\) 0.0878780 + 0.836103i 0.0135599 + 0.129013i
\(43\) 5.13351 5.70135i 0.782854 0.869447i −0.211300 0.977421i \(-0.567770\pi\)
0.994154 + 0.107974i \(0.0344364\pi\)
\(44\) 0.557952 + 0.181290i 0.0841144 + 0.0273304i
\(45\) 3.07671 + 0.323375i 0.458648 + 0.0482059i
\(46\) −0.376843 1.77291i −0.0555625 0.261401i
\(47\) 5.48737 + 1.78295i 0.800415 + 0.260071i 0.680533 0.732718i \(-0.261748\pi\)
0.119882 + 0.992788i \(0.461748\pi\)
\(48\) −0.740623 + 7.04656i −0.106900 + 1.01708i
\(49\) 3.95014 + 4.38707i 0.564305 + 0.626725i
\(50\) −0.165704 + 0.779575i −0.0234341 + 0.110249i
\(51\) −8.32070 + 6.04534i −1.16513 + 0.846517i
\(52\) 6.50562 + 1.72857i 0.902167 + 0.239709i
\(53\) −6.79286 4.93530i −0.933071 0.677916i 0.0136718 0.999907i \(-0.495648\pi\)
−0.946743 + 0.321991i \(0.895648\pi\)
\(54\) 0.377528 + 0.847941i 0.0513750 + 0.115390i
\(55\) −0.0551115 0.524351i −0.00743123 0.0707035i
\(56\) 0.738563 + 1.27923i 0.0986947 + 0.170944i
\(57\) 14.3308i 1.89816i
\(58\) 0.937572 2.10582i 0.123109 0.276508i
\(59\) −1.24862 5.87430i −0.162556 0.764768i −0.981587 0.191018i \(-0.938821\pi\)
0.819030 0.573751i \(-0.194512\pi\)
\(60\) 6.55661 2.13037i 0.846455 0.275030i
\(61\) −2.52468 4.37287i −0.323252 0.559889i 0.657905 0.753101i \(-0.271443\pi\)
−0.981157 + 0.193212i \(0.938110\pi\)
\(62\) 0.409473 1.98927i 0.0520031 0.252637i
\(63\) 1.67217 + 0.965429i 0.210674 + 0.121633i
\(64\) 1.53929 + 4.73745i 0.192411 + 0.592182i
\(65\) −0.958874 5.97302i −0.118934 0.740862i
\(66\) −0.204097 + 0.148285i −0.0251226 + 0.0182526i
\(67\) 12.5187 + 7.22765i 1.52940 + 0.882998i 0.999387 + 0.0350069i \(0.0111453\pi\)
0.530010 + 0.847991i \(0.322188\pi\)
\(68\) −4.36222 + 7.55559i −0.528997 + 0.916250i
\(69\) −9.99040 4.44801i −1.20270 0.535478i
\(70\) 0.376718 0.518508i 0.0450264 0.0619736i
\(71\) 11.9056 + 1.25133i 1.41293 + 0.148505i 0.780039 0.625731i \(-0.215199\pi\)
0.632896 + 0.774237i \(0.281866\pi\)
\(72\) −1.93281 1.74031i −0.227784 0.205097i
\(73\) −4.55543 6.27002i −0.533173 0.733850i 0.454437 0.890779i \(-0.349841\pi\)
−0.987610 + 0.156929i \(0.949841\pi\)
\(74\) 2.40082 2.66638i 0.279089 0.309960i
\(75\) 3.21763 + 3.57354i 0.371539 + 0.412636i
\(76\) −4.94447 11.1055i −0.567169 1.27388i
\(77\) 0.101688 0.312963i 0.0115884 0.0356654i
\(78\) −2.24571 + 1.82635i −0.254277 + 0.206794i
\(79\) −4.21955 3.06569i −0.474737 0.344917i 0.324548 0.945869i \(-0.394788\pi\)
−0.799285 + 0.600953i \(0.794788\pi\)
\(80\) 4.01410 3.61432i 0.448790 0.404093i
\(81\) 10.8885 + 2.31443i 1.20984 + 0.257158i
\(82\) −2.50257 1.11422i −0.276363 0.123045i
\(83\) −3.89726 + 1.26630i −0.427779 + 0.138994i −0.514990 0.857196i \(-0.672205\pi\)
0.0872111 + 0.996190i \(0.472205\pi\)
\(84\) 4.27924 + 0.449766i 0.466903 + 0.0490735i
\(85\) 7.79775 + 0.819576i 0.845785 + 0.0888955i
\(86\) 1.64493 + 2.26405i 0.177377 + 0.244138i
\(87\) −6.95397 12.0446i −0.745544 1.29132i
\(88\) −0.221626 + 0.383868i −0.0236254 + 0.0409205i
\(89\) 2.90804 0.305647i 0.308252 0.0323986i 0.0508602 0.998706i \(-0.483804\pi\)
0.257391 + 0.966307i \(0.417137\pi\)
\(90\) −0.348721 + 1.07325i −0.0367584 + 0.113131i
\(91\) 0.969577 3.64909i 0.101639 0.382529i
\(92\) −9.27658 −0.967150
\(93\) −8.25791 9.05351i −0.856305 0.938805i
\(94\) −1.05233 + 1.82269i −0.108539 + 0.187996i
\(95\) −7.31029 + 8.11890i −0.750020 + 0.832981i
\(96\) −8.36310 2.71734i −0.853555 0.277337i
\(97\) −1.10694 + 2.48623i −0.112393 + 0.252438i −0.960980 0.276617i \(-0.910787\pi\)
0.848588 + 0.529055i \(0.177453\pi\)
\(98\) −1.86490 + 1.07670i −0.188383 + 0.108763i
\(99\) 0.579407i 0.0582326i
\(100\) 3.72641 + 1.65910i 0.372641 + 0.165910i
\(101\) −15.2401 + 6.78534i −1.51645 + 0.675166i −0.985099 0.171986i \(-0.944982\pi\)
−0.531349 + 0.847153i \(0.678315\pi\)
\(102\) −1.52595 3.42733i −0.151091 0.339357i
\(103\) −1.58455 4.87673i −0.156130 0.480519i 0.842144 0.539253i \(-0.181293\pi\)
−0.998274 + 0.0587345i \(0.981293\pi\)
\(104\) −2.29942 + 4.53635i −0.225477 + 0.444826i
\(105\) −1.19496 3.67769i −0.116616 0.358906i
\(106\) 2.27610 2.04941i 0.221075 0.199057i
\(107\) 9.50898 4.23367i 0.919268 0.409284i 0.108128 0.994137i \(-0.465514\pi\)
0.811140 + 0.584852i \(0.198848\pi\)
\(108\) 4.64672 0.987691i 0.447131 0.0950406i
\(109\) 0.489893 + 0.159176i 0.0469233 + 0.0152463i 0.332385 0.943144i \(-0.392147\pi\)
−0.285461 + 0.958390i \(0.592147\pi\)
\(110\) 0.191270 + 0.0201032i 0.0182368 + 0.00191677i
\(111\) −4.50089 21.1750i −0.427206 2.00984i
\(112\) 3.20627 1.04178i 0.302964 0.0984390i
\(113\) −12.8023 5.69995i −1.20434 0.536206i −0.296301 0.955095i \(-0.595753\pi\)
−0.908038 + 0.418888i \(0.862420\pi\)
\(114\) 5.11327 + 1.08686i 0.478902 + 0.101794i
\(115\) 3.39093 + 7.61615i 0.316206 + 0.710210i
\(116\) −9.54455 6.93452i −0.886190 0.643854i
\(117\) 0.361851 + 6.63822i 0.0334531 + 0.613703i
\(118\) 2.19066 0.201667
\(119\) 4.23803 + 2.44683i 0.388500 + 0.224301i
\(120\) 0.544463 + 5.18022i 0.0497025 + 0.472887i
\(121\) −10.6630 + 2.26650i −0.969367 + 0.206045i
\(122\) 1.75173 0.569171i 0.158594 0.0515303i
\(123\) −14.3139 + 8.26413i −1.29064 + 0.745152i
\(124\) −9.52302 4.16671i −0.855192 0.374182i
\(125\) 12.0550i 1.07823i
\(126\) −0.471287 + 0.523417i −0.0419856 + 0.0466297i
\(127\) 7.24456 + 8.04590i 0.642851 + 0.713958i 0.973215 0.229895i \(-0.0738383\pi\)
−0.330364 + 0.943853i \(0.607172\pi\)
\(128\) −9.75420 + 1.02521i −0.862158 + 0.0906165i
\(129\) 16.8849 1.48663
\(130\) 2.20391 + 0.110870i 0.193296 + 0.00972390i
\(131\) 16.6836 12.1213i 1.45765 1.05905i 0.473685 0.880694i \(-0.342923\pi\)
0.983967 0.178352i \(-0.0570765\pi\)
\(132\) 0.525169 + 1.17955i 0.0457101 + 0.102666i
\(133\) −6.22920 + 2.77342i −0.540141 + 0.240486i
\(134\) −3.52827 + 3.91854i −0.304796 + 0.338510i
\(135\) −2.50945 3.45396i −0.215979 0.297269i
\(136\) −4.89860 4.41072i −0.420051 0.378216i
\(137\) 0.278270 + 1.30916i 0.0237742 + 0.111849i 0.988435 0.151647i \(-0.0484577\pi\)
−0.964660 + 0.263496i \(0.915124\pi\)
\(138\) 2.34474 3.22726i 0.199598 0.274723i
\(139\) 7.76319 1.65012i 0.658465 0.139961i 0.133452 0.991055i \(-0.457394\pi\)
0.525013 + 0.851094i \(0.324060\pi\)
\(140\) −2.19490 2.43769i −0.185503 0.206022i
\(141\) 5.16495 + 11.6007i 0.434967 + 0.976952i
\(142\) −1.34941 + 4.15305i −0.113240 + 0.348516i
\(143\) 1.09378 0.295537i 0.0914666 0.0247140i
\(144\) −4.80230 + 3.48907i −0.400191 + 0.290756i
\(145\) −2.20442 + 10.3710i −0.183067 + 0.861263i
\(146\) 2.58265 1.14987i 0.213741 0.0951638i
\(147\) −1.35810 + 12.9214i −0.112014 + 1.06574i
\(148\) −10.7938 14.8564i −0.887243 1.22119i
\(149\) −4.49389 + 2.59455i −0.368154 + 0.212554i −0.672652 0.739959i \(-0.734845\pi\)
0.304498 + 0.952513i \(0.401511\pi\)
\(150\) −1.51907 + 0.877038i −0.124032 + 0.0716099i
\(151\) 8.08675 + 11.1305i 0.658090 + 0.905783i 0.999416 0.0341616i \(-0.0108761\pi\)
−0.341326 + 0.939945i \(0.610876\pi\)
\(152\) 8.98404 1.90962i 0.728702 0.154890i
\(153\) −8.42821 1.79147i −0.681381 0.144832i
\(154\) 0.103954 + 0.0600179i 0.00837685 + 0.00483638i
\(155\) 0.0601057 + 9.34156i 0.00482781 + 0.750332i
\(156\) 6.75346 + 13.1860i 0.540709 + 1.05572i
\(157\) 2.62619 + 8.08257i 0.209593 + 0.645059i 0.999493 + 0.0318250i \(0.0101319\pi\)
−0.789901 + 0.613234i \(0.789868\pi\)
\(158\) 1.41386 1.27304i 0.112481 0.101278i
\(159\) −1.93163 18.3783i −0.153188 1.45749i
\(160\) 3.35184 + 5.80556i 0.264986 + 0.458970i
\(161\) 5.20336i 0.410083i
\(162\) −1.65159 + 3.70953i −0.129761 + 0.291448i
\(163\) 6.53929 + 0.687307i 0.512197 + 0.0538341i 0.357102 0.934065i \(-0.383765\pi\)
0.155095 + 0.987900i \(0.450432\pi\)
\(164\) −8.24103 + 11.3428i −0.643516 + 0.885724i
\(165\) 0.776450 0.862335i 0.0604466 0.0671327i
\(166\) −0.156247 1.48659i −0.0121271 0.115382i
\(167\) 3.92607 18.4707i 0.303809 1.42931i −0.515960 0.856613i \(-0.672565\pi\)
0.819769 0.572695i \(-0.194102\pi\)
\(168\) −1.00460 + 3.09186i −0.0775069 + 0.238542i
\(169\) 12.3468 4.06903i 0.949752 0.313002i
\(170\) −0.883814 + 2.72010i −0.0677855 + 0.208622i
\(171\) 8.92223 8.03361i 0.682300 0.614345i
\(172\) 13.0847 5.82569i 0.997700 0.444205i
\(173\) −4.77041 + 1.01398i −0.362687 + 0.0770915i −0.385651 0.922645i \(-0.626023\pi\)
0.0229637 + 0.999736i \(0.492690\pi\)
\(174\) 4.82495 1.56772i 0.365779 0.118849i
\(175\) 0.930614 2.09019i 0.0703478 0.158004i
\(176\) 0.751798 + 0.676922i 0.0566689 + 0.0510249i
\(177\) 7.76900 10.6931i 0.583954 0.803743i
\(178\) −0.111492 + 1.06078i −0.00835669 + 0.0795086i
\(179\) 1.43454 + 13.6488i 0.107223 + 1.02016i 0.907364 + 0.420345i \(0.138091\pi\)
−0.800142 + 0.599811i \(0.795242\pi\)
\(180\) 5.00187 + 2.88783i 0.372817 + 0.215246i
\(181\) 12.9421 0.961982 0.480991 0.876726i \(-0.340277\pi\)
0.480991 + 0.876726i \(0.340277\pi\)
\(182\) 1.22847 + 0.622698i 0.0910605 + 0.0461574i
\(183\) 3.43411 10.5691i 0.253856 0.781290i
\(184\) 1.45723 6.85572i 0.107428 0.505411i
\(185\) −8.25167 + 14.2923i −0.606675 + 1.05079i
\(186\) 3.85660 2.25982i 0.282780 0.165698i
\(187\) 1.46848i 0.107386i
\(188\) 8.00500 + 7.20774i 0.583825 + 0.525678i
\(189\) −0.554010 2.60641i −0.0402983 0.189588i
\(190\) −2.34243 3.22407i −0.169937 0.233899i
\(191\) 4.59788 + 7.96377i 0.332691 + 0.576238i 0.983039 0.183399i \(-0.0587100\pi\)
−0.650347 + 0.759637i \(0.725377\pi\)
\(192\) −5.48155 + 9.49433i −0.395597 + 0.685194i
\(193\) 6.34615 0.667008i 0.456806 0.0480123i 0.126669 0.991945i \(-0.459572\pi\)
0.330138 + 0.943933i \(0.392905\pi\)
\(194\) −0.803142 0.583517i −0.0576623 0.0418941i
\(195\) 8.35717 10.3646i 0.598470 0.742225i
\(196\) 3.40576 + 10.4819i 0.243269 + 0.748704i
\(197\) −5.91609 + 0.621806i −0.421504 + 0.0443019i −0.312906 0.949784i \(-0.601303\pi\)
−0.108598 + 0.994086i \(0.534636\pi\)
\(198\) −0.206734 0.0439427i −0.0146920 0.00312287i
\(199\) −25.9433 + 5.51442i −1.83907 + 0.390907i −0.990425 0.138051i \(-0.955916\pi\)
−0.848648 + 0.528958i \(0.822583\pi\)
\(200\) −1.81151 + 2.49332i −0.128093 + 0.176305i
\(201\) 6.61456 + 31.1191i 0.466555 + 2.19497i
\(202\) −1.26521 5.95232i −0.0890195 0.418804i
\(203\) −3.88967 + 5.35367i −0.273001 + 0.375754i
\(204\) −18.7818 + 3.99219i −1.31499 + 0.279509i
\(205\) 12.3249 + 2.61974i 0.860810 + 0.182971i
\(206\) 1.86021 0.195515i 0.129607 0.0136222i
\(207\) −2.83116 8.71340i −0.196779 0.605623i
\(208\) 9.03603 + 7.28592i 0.626536 + 0.505187i
\(209\) −1.65536 1.20269i −0.114504 0.0831920i
\(210\) 1.40284 0.147444i 0.0968050 0.0101746i
\(211\) −3.90992 + 6.77217i −0.269170 + 0.466216i −0.968648 0.248439i \(-0.920083\pi\)
0.699478 + 0.714654i \(0.253416\pi\)
\(212\) −7.83782 13.5755i −0.538304 0.932369i
\(213\) 15.4864 + 21.3152i 1.06111 + 1.46049i
\(214\) 0.789417 + 3.71392i 0.0539635 + 0.253878i
\(215\) −9.56588 8.61316i −0.652388 0.587413i
\(216\) 3.58925i 0.244217i
\(217\) −2.33717 + 5.34159i −0.158657 + 0.362611i
\(218\) −0.0939483 + 0.162723i −0.00636298 + 0.0110210i
\(219\) 3.54638 16.6844i 0.239642 1.12743i
\(220\) 0.304173 0.936148i 0.0205073 0.0631151i
\(221\) 0.917092 + 16.8242i 0.0616903 + 1.13172i
\(222\) 7.89666 0.529989
\(223\) −0.536940 0.310003i −0.0359562 0.0207593i 0.481914 0.876218i \(-0.339942\pi\)
−0.517870 + 0.855459i \(0.673275\pi\)
\(224\) 0.437348 + 4.16109i 0.0292215 + 0.278024i
\(225\) −0.421103 + 4.00653i −0.0280735 + 0.267102i
\(226\) 3.00469 4.13561i 0.199869 0.275096i
\(227\) −3.28128 2.95448i −0.217786 0.196096i 0.553015 0.833171i \(-0.313477\pi\)
−0.770801 + 0.637076i \(0.780144\pi\)
\(228\) 10.8821 24.4417i 0.720688 1.61869i
\(229\) −3.71692 + 1.20770i −0.245621 + 0.0798071i −0.429240 0.903190i \(-0.641219\pi\)
0.183619 + 0.982997i \(0.441219\pi\)
\(230\) −2.97463 + 0.632278i −0.196142 + 0.0416912i
\(231\) 0.661625 0.294574i 0.0435317 0.0193816i
\(232\) 6.62418 5.96444i 0.434899 0.391585i
\(233\) 0.624683 1.92258i 0.0409244 0.125952i −0.928507 0.371315i \(-0.878907\pi\)
0.969431 + 0.245363i \(0.0789070\pi\)
\(234\) −2.39598 0.374338i −0.156630 0.0244712i
\(235\) 2.99149 9.20686i 0.195143 0.600590i
\(236\) 2.33110 10.9670i 0.151742 0.713888i
\(237\) −1.19988 11.4161i −0.0779407 0.741556i
\(238\) −1.19445 + 1.32657i −0.0774248 + 0.0859889i
\(239\) −11.1326 + 15.3227i −0.720108 + 0.991144i 0.279412 + 0.960171i \(0.409860\pi\)
−0.999520 + 0.0309724i \(0.990140\pi\)
\(240\) 11.8229 + 1.24264i 0.763166 + 0.0802120i
\(241\) −8.70847 + 19.5595i −0.560962 + 1.25994i 0.381110 + 0.924530i \(0.375542\pi\)
−0.942072 + 0.335411i \(0.891125\pi\)
\(242\) 3.97649i 0.255619i
\(243\) 8.43298 + 14.6063i 0.540976 + 0.936997i
\(244\) −0.985374 9.37521i −0.0630821 0.600186i
\(245\) 7.36076 6.62765i 0.470261 0.423425i
\(246\) −1.86309 5.73400i −0.118786 0.365586i
\(247\) −19.7165 12.7453i −1.25453 0.810966i
\(248\) 4.57529 6.38331i 0.290531 0.405341i
\(249\) −7.81049 4.50939i −0.494970 0.285771i
\(250\) 4.30126 + 0.914262i 0.272036 + 0.0578230i
\(251\) −6.50950 + 1.38364i −0.410876 + 0.0873344i −0.408712 0.912663i \(-0.634022\pi\)
−0.00216374 + 0.999998i \(0.500689\pi\)
\(252\) 2.11885 + 2.91634i 0.133475 + 0.183712i
\(253\) −1.35222 + 0.780706i −0.0850135 + 0.0490826i
\(254\) −3.42023 + 1.97467i −0.214605 + 0.123902i
\(255\) 10.1431 + 13.9607i 0.635182 + 0.874254i
\(256\) −0.667396 + 6.34985i −0.0417123 + 0.396866i
\(257\) 18.4831 8.22923i 1.15295 0.513325i 0.260944 0.965354i \(-0.415966\pi\)
0.892003 + 0.452029i \(0.149300\pi\)
\(258\) −1.28057 + 6.02459i −0.0797245 + 0.375074i
\(259\) −8.33314 + 6.05438i −0.517796 + 0.376201i
\(260\) 2.90024 10.9153i 0.179865 0.676939i
\(261\) 3.60059 11.0815i 0.222871 0.685927i
\(262\) 3.05963 + 6.87204i 0.189025 + 0.424556i
\(263\) −2.43653 2.70604i −0.150243 0.166862i 0.663325 0.748331i \(-0.269145\pi\)
−0.813568 + 0.581469i \(0.802478\pi\)
\(264\) −0.954225 + 0.202827i −0.0587285 + 0.0124831i
\(265\) −8.28059 + 11.3973i −0.508673 + 0.700128i
\(266\) −0.517136 2.43294i −0.0317077 0.149173i
\(267\) 4.78250 + 4.30618i 0.292684 + 0.263534i
\(268\) 15.8627 + 21.8331i 0.968967 + 1.33367i
\(269\) 1.46228 1.62403i 0.0891569 0.0990188i −0.696915 0.717153i \(-0.745445\pi\)
0.786072 + 0.618135i \(0.212111\pi\)
\(270\) 1.42270 0.633427i 0.0865828 0.0385491i
\(271\) 7.69281 + 17.2783i 0.467305 + 1.04958i 0.981422 + 0.191864i \(0.0614532\pi\)
−0.514117 + 0.857720i \(0.671880\pi\)
\(272\) −12.1712 + 8.84287i −0.737986 + 0.536178i
\(273\) 7.39621 3.78811i 0.447639 0.229267i
\(274\) −0.488215 −0.0294942
\(275\) 0.682817 0.0717669i 0.0411754 0.00432771i
\(276\) −13.6614 15.1725i −0.822317 0.913276i
\(277\) −0.540233 + 0.599990i −0.0324595 + 0.0360499i −0.759156 0.650909i \(-0.774388\pi\)
0.726696 + 0.686959i \(0.241055\pi\)
\(278\) 2.89507i 0.173635i
\(279\) 1.00738 10.2165i 0.0603105 0.611648i
\(280\) 2.14633 1.23918i 0.128268 0.0740554i
\(281\) −27.1432 + 8.81936i −1.61923 + 0.526119i −0.971759 0.235974i \(-0.924172\pi\)
−0.647468 + 0.762093i \(0.724172\pi\)
\(282\) −4.53086 + 0.963065i −0.269809 + 0.0573497i
\(283\) 1.94893 + 18.5428i 0.115852 + 1.10226i 0.885774 + 0.464117i \(0.153628\pi\)
−0.769922 + 0.638138i \(0.779705\pi\)
\(284\) 19.3552 + 11.1747i 1.14852 + 0.663098i
\(285\) −24.0447 −1.42428
\(286\) 0.0224952 + 0.412678i 0.00133017 + 0.0244022i
\(287\) 6.36233 + 4.62251i 0.375557 + 0.272858i
\(288\) −2.99642 6.73007i −0.176566 0.396573i
\(289\) −4.73236 1.00589i −0.278374 0.0591703i
\(290\) −3.53321 1.57309i −0.207477 0.0923748i
\(291\) −5.69656 + 1.85092i −0.333938 + 0.108503i
\(292\) −3.00829 14.1529i −0.176047 0.828236i
\(293\) −0.463523 0.0487182i −0.0270793 0.00284615i 0.0909791 0.995853i \(-0.471000\pi\)
−0.118058 + 0.993007i \(0.537667\pi\)
\(294\) −4.50740 1.46454i −0.262877 0.0854140i
\(295\) −9.85606 + 2.09497i −0.573842 + 0.121974i
\(296\) 12.6749 5.64325i 0.736716 0.328007i
\(297\) 0.594218 0.535036i 0.0344800 0.0310459i
\(298\) −0.584923 1.80021i −0.0338837 0.104283i
\(299\) −15.0047 + 9.78897i −0.867746 + 0.566111i
\(300\) 2.77420 + 8.53810i 0.160168 + 0.492948i
\(301\) −3.26771 7.33940i −0.188348 0.423036i
\(302\) −4.58468 + 2.04123i −0.263819 + 0.117460i
\(303\) −33.5416 14.9337i −1.92691 0.857917i
\(304\) 20.9625i 1.20228i
\(305\) −7.33693 + 4.23598i −0.420112 + 0.242552i
\(306\) 1.27840 2.87134i 0.0730815 0.164144i
\(307\) −18.1069 5.88328i −1.03341 0.335777i −0.257275 0.966338i \(-0.582825\pi\)
−0.776139 + 0.630562i \(0.782825\pi\)
\(308\) 0.411081 0.456552i 0.0234235 0.0260145i
\(309\) 5.64271 9.77346i 0.321003 0.555993i
\(310\) −3.33765 0.687025i −0.189566 0.0390204i
\(311\) 19.2179 1.08975 0.544873 0.838519i \(-0.316578\pi\)
0.544873 + 0.838519i \(0.316578\pi\)
\(312\) −10.8058 + 2.91970i −0.611758 + 0.165295i
\(313\) 7.71078 23.7313i 0.435839 1.34138i −0.456385 0.889782i \(-0.650856\pi\)
0.892224 0.451593i \(-0.149144\pi\)
\(314\) −3.08306 + 0.324042i −0.173987 + 0.0182868i
\(315\) 1.61983 2.80562i 0.0912668 0.158079i
\(316\) −4.86866 8.43276i −0.273883 0.474380i
\(317\) 5.70197 + 7.84808i 0.320254 + 0.440792i 0.938545 0.345157i \(-0.112174\pi\)
−0.618290 + 0.785950i \(0.712174\pi\)
\(318\) 6.70391 + 0.704609i 0.375937 + 0.0395125i
\(319\) −1.97489 0.207569i −0.110572 0.0116216i
\(320\) 7.94863 2.58267i 0.444342 0.144376i
\(321\) 20.9281 + 9.31777i 1.16809 + 0.520067i
\(322\) −1.85657 0.394627i −0.103463 0.0219917i
\(323\) 22.6129 20.3608i 1.25822 1.13290i
\(324\) 16.8133 + 12.2156i 0.934071 + 0.678642i
\(325\) 7.77815 1.24866i 0.431454 0.0692631i
\(326\) −0.741178 + 2.28111i −0.0410501 + 0.126339i
\(327\) 0.461109 + 1.03567i 0.0254994 + 0.0572725i
\(328\) −7.08818 7.87222i −0.391379 0.434670i
\(329\) 4.04292 4.49012i 0.222893 0.247548i
\(330\) 0.248797 + 0.342440i 0.0136958 + 0.0188507i
\(331\) 20.4180 + 18.3845i 1.12228 + 1.01050i 0.999838 + 0.0180247i \(0.00573776\pi\)
0.122437 + 0.992476i \(0.460929\pi\)
\(332\) −7.60847 0.799682i −0.417569 0.0438883i
\(333\) 10.6602 14.6726i 0.584178 0.804051i
\(334\) 6.29265 + 2.80167i 0.344318 + 0.153300i
\(335\) 12.1268 21.0042i 0.662556 1.14758i
\(336\) 6.42569 + 3.70987i 0.350550 + 0.202390i
\(337\) −22.8020 + 16.5666i −1.24210 + 0.902442i −0.997737 0.0672411i \(-0.978580\pi\)
−0.244368 + 0.969683i \(0.578580\pi\)
\(338\) 0.515450 + 4.71396i 0.0280368 + 0.256406i
\(339\) −9.53093 29.3332i −0.517649 1.59316i
\(340\) 12.6770 + 7.31906i 0.687506 + 0.396932i
\(341\) −1.73881 + 0.194076i −0.0941619 + 0.0105098i
\(342\) 2.18975 + 3.79275i 0.118408 + 0.205088i
\(343\) 12.8510 4.17554i 0.693888 0.225458i
\(344\) 2.24996 + 10.5852i 0.121310 + 0.570716i
\(345\) −7.46300 + 16.7622i −0.401795 + 0.902445i
\(346\) 1.77900i 0.0956394i
\(347\) −4.88045 8.45318i −0.261996 0.453791i 0.704776 0.709430i \(-0.251047\pi\)
−0.966772 + 0.255639i \(0.917714\pi\)
\(348\) −2.71411 25.8230i −0.145492 1.38426i
\(349\) −6.99886 15.7197i −0.374640 0.841456i −0.998217 0.0596935i \(-0.980988\pi\)
0.623576 0.781762i \(-0.285679\pi\)
\(350\) 0.675208 + 0.490568i 0.0360914 + 0.0262219i
\(351\) 6.47375 6.50095i 0.345543 0.346995i
\(352\) −1.01574 + 0.737980i −0.0541393 + 0.0393345i
\(353\) −3.46083 + 16.2819i −0.184201 + 0.866599i 0.784840 + 0.619699i \(0.212745\pi\)
−0.969041 + 0.246900i \(0.920588\pi\)
\(354\) 3.22612 + 3.58297i 0.171467 + 0.190433i
\(355\) 2.09952 19.9756i 0.111431 1.06019i
\(356\) 5.19186 + 1.68694i 0.275168 + 0.0894075i
\(357\) 2.23928 + 10.5350i 0.118515 + 0.557570i
\(358\) −4.97871 0.523284i −0.263133 0.0276564i
\(359\) −4.54149 1.47562i −0.239691 0.0778802i 0.186708 0.982415i \(-0.440218\pi\)
−0.426399 + 0.904535i \(0.640218\pi\)
\(360\) −2.91994 + 3.24292i −0.153894 + 0.170917i
\(361\) 2.44582 + 23.2704i 0.128727 + 1.22476i
\(362\) −0.981542 + 4.61779i −0.0515887 + 0.242706i
\(363\) −19.4102 14.1023i −1.01877 0.740179i
\(364\) 4.42460 5.48740i 0.231912 0.287618i
\(365\) −10.5200 + 7.64324i −0.550643 + 0.400065i
\(366\) 3.51064 + 2.02687i 0.183504 + 0.105946i
\(367\) 12.7656 22.1107i 0.666361 1.15417i −0.312554 0.949900i \(-0.601185\pi\)
0.978915 0.204270i \(-0.0654821\pi\)
\(368\) −14.6135 6.50636i −0.761783 0.339168i
\(369\) −13.1693 4.27896i −0.685566 0.222754i
\(370\) −4.47373 4.02816i −0.232578 0.209414i
\(371\) −7.61469 + 4.39634i −0.395335 + 0.228247i
\(372\) −7.20934 21.7117i −0.373787 1.12570i
\(373\) −8.76111 15.1747i −0.453633 0.785716i 0.544975 0.838452i \(-0.316539\pi\)
−0.998608 + 0.0527365i \(0.983206\pi\)
\(374\) −0.523957 0.111370i −0.0270932 0.00575883i
\(375\) 19.7168 17.7531i 1.01817 0.916765i
\(376\) −6.58426 + 4.78374i −0.339557 + 0.246703i
\(377\) −22.7557 1.14474i −1.17198 0.0589573i
\(378\) 0.971991 0.0499938
\(379\) −10.3074 + 1.08335i −0.529455 + 0.0556480i −0.365485 0.930817i \(-0.619097\pi\)
−0.163970 + 0.986465i \(0.552430\pi\)
\(380\) −18.6331 + 8.29597i −0.955855 + 0.425574i
\(381\) −2.49075 + 23.6979i −0.127605 + 1.21408i
\(382\) −3.19020 + 1.03656i −0.163225 + 0.0530350i
\(383\) 8.37129 18.8022i 0.427753 0.960749i −0.563173 0.826339i \(-0.690420\pi\)
0.990926 0.134410i \(-0.0429138\pi\)
\(384\) −16.0415 14.4439i −0.818616 0.737085i
\(385\) −0.525098 0.170615i −0.0267615 0.00869534i
\(386\) −0.243307 + 2.31491i −0.0123840 + 0.117826i
\(387\) 9.46539 + 10.5124i 0.481153 + 0.534375i
\(388\) −3.77585 + 3.39979i −0.191690 + 0.172598i
\(389\) 17.7988 + 12.9316i 0.902437 + 0.655659i 0.939091 0.343669i \(-0.111670\pi\)
−0.0366539 + 0.999328i \(0.511670\pi\)
\(390\) 3.06430 + 3.76792i 0.155167 + 0.190796i
\(391\) −7.17542 22.0837i −0.362877 1.11682i
\(392\) −8.28146 + 0.870417i −0.418277 + 0.0439627i
\(393\) 44.3947 + 9.43639i 2.23942 + 0.476003i
\(394\) 0.226819 2.15804i 0.0114270 0.108720i
\(395\) −5.14370 + 7.07969i −0.258807 + 0.356218i
\(396\) −0.439975 + 0.988199i −0.0221096 + 0.0496589i
\(397\) 7.77719 4.49016i 0.390326 0.225355i −0.291975 0.956426i \(-0.594313\pi\)
0.682301 + 0.731071i \(0.260979\pi\)
\(398\) 9.67487i 0.484957i
\(399\) −13.7097 6.10395i −0.686343 0.305580i
\(400\) 4.70661 + 5.22722i 0.235330 + 0.261361i
\(401\) −5.88322 + 27.6784i −0.293794 + 1.38219i 0.545316 + 0.838230i \(0.316410\pi\)
−0.839110 + 0.543961i \(0.816924\pi\)
\(402\) −11.6050 −0.578806
\(403\) −19.8002 + 3.30943i −0.986318 + 0.164854i
\(404\) −31.1450 −1.54952
\(405\) 3.88321 18.2691i 0.192958 0.907797i
\(406\) −1.61521 1.79387i −0.0801615 0.0890284i
\(407\) −2.82367 1.25718i −0.139964 0.0623162i
\(408\) 14.5075i 0.718230i
\(409\) −0.0828728 + 0.0478467i −0.00409780 + 0.00236586i −0.502047 0.864840i \(-0.667420\pi\)
0.497950 + 0.867206i \(0.334086\pi\)
\(410\) −1.86946 + 4.19888i −0.0923262 + 0.207368i
\(411\) −1.73142 + 2.38309i −0.0854044 + 0.117549i
\(412\) 1.00066 9.52067i 0.0492991 0.469050i
\(413\) −6.15152 1.30755i −0.302696 0.0643401i
\(414\) 3.32368 0.349333i 0.163350 0.0171688i
\(415\) 2.12463 + 6.53893i 0.104294 + 0.320983i
\(416\) −11.1764 + 9.08932i −0.547967 + 0.445640i
\(417\) 14.1315 + 10.2671i 0.692023 + 0.502784i
\(418\) 0.554668 0.499425i 0.0271297 0.0244277i
\(419\) 18.9714 + 21.0699i 0.926814 + 1.02933i 0.999489 + 0.0319755i \(0.0101798\pi\)
−0.0726747 + 0.997356i \(0.523153\pi\)
\(420\) 0.754630 7.17983i 0.0368222 0.350340i
\(421\) 11.3013 + 3.67202i 0.550793 + 0.178963i 0.571174 0.820829i \(-0.306488\pi\)
−0.0203814 + 0.999792i \(0.506488\pi\)
\(422\) −2.11980 1.90868i −0.103190 0.0929129i
\(423\) −4.32708 + 9.71878i −0.210390 + 0.472543i
\(424\) 11.2640 3.65989i 0.547028 0.177740i
\(425\) −1.06726 + 10.1543i −0.0517699 + 0.492557i
\(426\) −8.77983 + 3.90903i −0.425384 + 0.189393i
\(427\) −5.25869 + 0.552710i −0.254486 + 0.0267475i
\(428\) 19.4327 0.939317
\(429\) 2.09415 + 1.35372i 0.101107 + 0.0653584i
\(430\) 3.79868 2.75990i 0.183189 0.133094i
\(431\) 0.446701 0.402211i 0.0215168 0.0193738i −0.658302 0.752754i \(-0.728725\pi\)
0.679819 + 0.733380i \(0.262058\pi\)
\(432\) 8.01279 + 1.70317i 0.385516 + 0.0819439i
\(433\) −0.850690 1.47344i −0.0408815 0.0708089i 0.844861 0.534986i \(-0.179683\pi\)
−0.885742 + 0.464178i \(0.846350\pi\)
\(434\) −1.72864 1.23902i −0.0829775 0.0594748i
\(435\) −20.2088 + 11.6676i −0.968939 + 0.559417i
\(436\) 0.714659 + 0.643482i 0.0342260 + 0.0308172i
\(437\) 30.7709 + 9.99806i 1.47197 + 0.478272i
\(438\) 5.68408 + 2.53071i 0.271596 + 0.120922i
\(439\) 13.4499 23.2959i 0.641930 1.11185i −0.343072 0.939309i \(-0.611467\pi\)
0.985002 0.172546i \(-0.0551992\pi\)
\(440\) 0.644065 + 0.371851i 0.0307046 + 0.0177273i
\(441\) −8.80608 + 6.39800i −0.419337 + 0.304666i
\(442\) −6.07248 0.948740i −0.288838 0.0451270i
\(443\) 3.32392 + 2.41497i 0.157924 + 0.114739i 0.663941 0.747785i \(-0.268883\pi\)
−0.506017 + 0.862524i \(0.668883\pi\)
\(444\) 8.40289 39.5325i 0.398784 1.87613i
\(445\) −0.512824 4.87919i −0.0243102 0.231296i
\(446\) 0.151332 0.168071i 0.00716577 0.00795839i
\(447\) −10.8616 3.52915i −0.513736 0.166923i
\(448\) 5.18776 + 0.545255i 0.245098 + 0.0257609i
\(449\) 0.546006 + 2.56876i 0.0257676 + 0.121227i 0.989152 0.146899i \(-0.0469291\pi\)
−0.963384 + 0.268126i \(0.913596\pi\)
\(450\) −1.39760 0.454109i −0.0658836 0.0214069i
\(451\) −0.246676 + 2.34697i −0.0116155 + 0.110514i
\(452\) −17.5065 19.4429i −0.823436 0.914518i
\(453\) −6.29548 + 29.6179i −0.295788 + 1.39157i
\(454\) 1.30302 0.946701i 0.0611538 0.0444309i
\(455\) −6.12255 1.62678i −0.287030 0.0762648i
\(456\) 16.3538 + 11.8818i 0.765839 + 0.556414i
\(457\) −1.30911 2.94031i −0.0612377 0.137542i 0.880334 0.474354i \(-0.157318\pi\)
−0.941572 + 0.336811i \(0.890651\pi\)
\(458\) −0.149017 1.41780i −0.00696310 0.0662495i
\(459\) 5.94551 + 10.2979i 0.277513 + 0.480666i
\(460\) 15.5645i 0.725699i
\(461\) 15.8836 35.6751i 0.739773 1.66156i −0.0100768 0.999949i \(-0.503208\pi\)
0.749850 0.661608i \(-0.230126\pi\)
\(462\) 0.0549268 + 0.258410i 0.00255543 + 0.0120223i
\(463\) 12.4789 4.05466i 0.579946 0.188436i −0.00433044 0.999991i \(-0.501378\pi\)
0.584276 + 0.811555i \(0.301378\pi\)
\(464\) −10.1720 17.6184i −0.472222 0.817912i
\(465\) −15.1902 + 13.8554i −0.704430 + 0.642527i
\(466\) 0.638605 + 0.368698i 0.0295828 + 0.0170796i
\(467\) 12.5649 + 38.6708i 0.581434 + 1.78947i 0.613143 + 0.789972i \(0.289905\pi\)
−0.0317092 + 0.999497i \(0.510095\pi\)
\(468\) −4.42360 + 11.5965i −0.204481 + 0.536047i
\(469\) 12.2465 8.89759i 0.565490 0.410853i
\(470\) 3.05816 + 1.76563i 0.141062 + 0.0814424i
\(471\) −9.35208 + 16.1983i −0.430921 + 0.746377i
\(472\) 7.73879 + 3.44553i 0.356206 + 0.158593i
\(473\) 1.41704 1.95039i 0.0651557 0.0896791i
\(474\) 4.16430 + 0.437686i 0.191273 + 0.0201036i
\(475\) −10.5725 9.51955i −0.485101 0.436787i
\(476\) 5.37011 + 7.39132i 0.246138 + 0.338780i
\(477\) 10.3593 11.5052i 0.474319 0.526785i
\(478\) −4.62288 5.13423i −0.211446 0.234834i
\(479\) −2.88045 6.46961i −0.131611 0.295604i 0.835704 0.549180i \(-0.185060\pi\)
−0.967315 + 0.253576i \(0.918393\pi\)
\(480\) −4.55922 + 14.0318i −0.208099 + 0.640463i
\(481\) −33.1357 12.6400i −1.51086 0.576333i
\(482\) −6.31844 4.59062i −0.287797 0.209097i
\(483\) −8.51045 + 7.66285i −0.387239 + 0.348672i
\(484\) −19.9072 4.23142i −0.904875 0.192337i
\(485\) 4.17147 + 1.85726i 0.189417 + 0.0843337i
\(486\) −5.85115 + 1.90115i −0.265413 + 0.0862381i
\(487\) −6.60513 0.694227i −0.299307 0.0314584i −0.0463153 0.998927i \(-0.514748\pi\)
−0.252992 + 0.967468i \(0.581415\pi\)
\(488\) 7.08340 + 0.744496i 0.320651 + 0.0337017i
\(489\) 8.50609 + 11.7076i 0.384659 + 0.529438i
\(490\) 1.80652 + 3.12898i 0.0816103 + 0.141353i
\(491\) 15.1518 26.2437i 0.683791 1.18436i −0.290024 0.957019i \(-0.593663\pi\)
0.973815 0.227342i \(-0.0730034\pi\)
\(492\) −30.6882 + 3.22546i −1.38353 + 0.145415i
\(493\) 9.12551 28.0854i 0.410992 1.26490i
\(494\) 6.04288 6.06827i 0.271882 0.273024i
\(495\) 0.972146 0.0436947
\(496\) −12.0793 13.2431i −0.542378 0.594632i
\(497\) 6.26806 10.8566i 0.281161 0.486985i
\(498\) 2.20132 2.44481i 0.0986433 0.109555i
\(499\) −20.5948 6.69164i −0.921948 0.299559i −0.190682 0.981652i \(-0.561070\pi\)
−0.731266 + 0.682093i \(0.761070\pi\)
\(500\) 9.15401 20.5602i 0.409380 0.919482i
\(501\) 35.9919 20.7800i 1.60800 0.928380i
\(502\) 2.42754i 0.108347i
\(503\) 11.3098 + 5.03543i 0.504277 + 0.224519i 0.643077 0.765802i \(-0.277658\pi\)
−0.138799 + 0.990321i \(0.544324\pi\)
\(504\) −2.48812 + 1.10778i −0.110830 + 0.0493446i
\(505\) 11.3846 + 25.5703i 0.506610 + 1.13786i
\(506\) −0.176005 0.541686i −0.00782436 0.0240809i
\(507\) 24.8379 + 14.2017i 1.10309 + 0.630718i
\(508\) 6.24617 + 19.2237i 0.277129 + 0.852916i
\(509\) −16.7557 + 15.0869i −0.742685 + 0.668716i −0.950946 0.309357i \(-0.899886\pi\)
0.208261 + 0.978073i \(0.433220\pi\)
\(510\) −5.75048 + 2.56028i −0.254635 + 0.113371i
\(511\) −7.93856 + 1.68739i −0.351181 + 0.0746459i
\(512\) −20.8708 6.78134i −0.922369 0.299696i
\(513\) −16.4779 1.73190i −0.727517 0.0764652i
\(514\) 1.53443 + 7.21895i 0.0676810 + 0.318414i
\(515\) −8.18232 + 2.65860i −0.360556 + 0.117152i
\(516\) 28.7978 + 12.8216i 1.26775 + 0.564440i
\(517\) 1.77346 + 0.376961i 0.0779968 + 0.0165787i
\(518\) −1.52823 3.43246i −0.0671465 0.150813i
\(519\) −8.68368 6.30906i −0.381171 0.276937i
\(520\) 7.61122 + 3.85803i 0.333774 + 0.169186i
\(521\) 20.5171 0.898869 0.449435 0.893313i \(-0.351625\pi\)
0.449435 + 0.893313i \(0.351625\pi\)
\(522\) 3.68083 + 2.12513i 0.161106 + 0.0930144i
\(523\) 0.633277 + 6.02523i 0.0276913 + 0.263465i 0.999604 + 0.0281251i \(0.00895368\pi\)
−0.971913 + 0.235340i \(0.924380\pi\)
\(524\) 37.6588 8.00463i 1.64513 0.349684i
\(525\) 4.78914 1.55609i 0.209015 0.0679132i
\(526\) 1.15031 0.664133i 0.0501560 0.0289576i
\(527\) 2.55316 25.8933i 0.111218 1.12793i
\(528\) 2.22650i 0.0968960i
\(529\) 1.13061 1.25567i 0.0491569 0.0545942i
\(530\) −3.43857 3.81891i −0.149362 0.165883i
\(531\) 11.0126 1.15747i 0.477906 0.0502299i
\(532\) −12.7301 −0.551921
\(533\) −1.36042 + 27.0430i −0.0589263 + 1.17136i
\(534\) −1.89916 + 1.37982i −0.0821849 + 0.0597108i
\(535\) −7.10338 15.9544i −0.307106 0.689771i
\(536\) −18.6272 + 8.29338i −0.804574 + 0.358220i
\(537\) −20.2109 + 22.4464i −0.872163 + 0.968635i
\(538\) 0.468557 + 0.644914i 0.0202009 + 0.0278042i
\(539\) 1.37859 + 1.24129i 0.0593800 + 0.0534660i
\(540\) −1.65718 7.79640i −0.0713135 0.335504i
\(541\) −22.0206 + 30.3088i −0.946741 + 1.30308i 0.00621820 + 0.999981i \(0.498021\pi\)
−0.952960 + 0.303097i \(0.901979\pi\)
\(542\) −6.74839 + 1.43441i −0.289868 + 0.0616133i
\(543\) 19.0595 + 21.1678i 0.817923 + 0.908395i
\(544\) −7.59428 17.0570i −0.325602 0.731314i
\(545\) 0.267070 0.821957i 0.0114400 0.0352088i
\(546\) 0.790673 + 2.92628i 0.0338377 + 0.125233i
\(547\) −7.38675 + 5.36679i −0.315835 + 0.229467i −0.734396 0.678721i \(-0.762534\pi\)
0.418561 + 0.908188i \(0.362534\pi\)
\(548\) −0.519513 + 2.44412i −0.0221925 + 0.104408i
\(549\) 8.50532 3.78681i 0.362998 0.161617i
\(550\) −0.0261787 + 0.249074i −0.00111626 + 0.0106205i
\(551\) 24.1859 + 33.2890i 1.03035 + 1.41816i
\(552\) 13.3590 7.71283i 0.568598 0.328280i
\(553\) −4.73005 + 2.73090i −0.201142 + 0.116130i
\(554\) −0.173106 0.238260i −0.00735458 0.0101227i
\(555\) −35.5281 + 7.55172i −1.50808 + 0.320553i
\(556\) 14.4934 + 3.08067i 0.614658 + 0.130650i
\(557\) 17.4798 + 10.0919i 0.740641 + 0.427609i 0.822302 0.569051i \(-0.192689\pi\)
−0.0816612 + 0.996660i \(0.526023\pi\)
\(558\) 3.56889 + 1.13427i 0.151083 + 0.0480174i
\(559\) 15.0169 23.2304i 0.635145 0.982542i
\(560\) −1.74793 5.37958i −0.0738635 0.227329i
\(561\) −2.40179 + 2.16259i −0.101404 + 0.0913044i
\(562\) −1.08821 10.3536i −0.0459034 0.436742i
\(563\) −21.1220 36.5844i −0.890188 1.54185i −0.839650 0.543128i \(-0.817240\pi\)
−0.0505379 0.998722i \(-0.516094\pi\)
\(564\) 23.7074i 0.998260i
\(565\) −9.56354 + 21.4801i −0.402341 + 0.903673i
\(566\) −6.76393 0.710918i −0.284309 0.0298821i
\(567\) 6.85188 9.43080i 0.287752 0.396056i
\(568\) −11.2990 + 12.5488i −0.474094 + 0.526535i
\(569\) −0.120622 1.14765i −0.00505675 0.0481118i 0.991703 0.128554i \(-0.0410335\pi\)
−0.996759 + 0.0804420i \(0.974367\pi\)
\(570\) 1.82356 8.57920i 0.0763807 0.359343i
\(571\) 5.32197 16.3793i 0.222717 0.685454i −0.775798 0.630981i \(-0.782652\pi\)
0.998515 0.0544722i \(-0.0173476\pi\)
\(572\) 2.08990 + 0.326518i 0.0873831 + 0.0136524i
\(573\) −6.25411 + 19.2482i −0.261269 + 0.804104i
\(574\) −2.13185 + 1.91952i −0.0889816 + 0.0801194i
\(575\) −9.91785 + 4.41571i −0.413603 + 0.184148i
\(576\) −8.98394 + 1.90960i −0.374331 + 0.0795665i
\(577\) −14.6630 + 4.76429i −0.610428 + 0.198340i −0.597886 0.801581i \(-0.703992\pi\)
−0.0125420 + 0.999921i \(0.503992\pi\)
\(578\) 0.717812 1.61223i 0.0298570 0.0670600i
\(579\) 10.4367 + 9.39728i 0.433736 + 0.390538i
\(580\) −11.6349 + 16.0141i −0.483115 + 0.664950i
\(581\) −0.448553 + 4.26770i −0.0186091 + 0.177054i
\(582\) −0.228383 2.17292i −0.00946679 0.0900705i
\(583\) −2.28500 1.31924i −0.0946349 0.0546375i
\(584\) 10.9321 0.452372
\(585\) 11.1378 0.607124i 0.460491 0.0251015i
\(586\) 0.0525367 0.161691i 0.00217027 0.00667941i
\(587\) 1.10260 5.18735i 0.0455094 0.214105i −0.949517 0.313715i \(-0.898426\pi\)
0.995027 + 0.0996104i \(0.0317596\pi\)
\(588\) −12.1282 + 21.0067i −0.500159 + 0.866301i
\(589\) 27.0975 + 24.0849i 1.11653 + 0.992399i
\(590\) 3.67555i 0.151320i
\(591\) −9.72947 8.76045i −0.400217 0.360357i
\(592\) −6.58371 30.9739i −0.270589 1.27302i
\(593\) 21.8207 + 30.0336i 0.896068 + 1.23333i 0.971705 + 0.236196i \(0.0759007\pi\)
−0.0756379 + 0.997135i \(0.524099\pi\)
\(594\) 0.145836 + 0.252596i 0.00598374 + 0.0103641i
\(595\) 4.10536 7.11070i 0.168303 0.291510i
\(596\) −9.63467 + 1.01264i −0.394652 + 0.0414795i
\(597\) −47.2252 34.3111i −1.93280 1.40426i
\(598\) −2.35476 6.09613i −0.0962933 0.249289i
\(599\) −4.19722 12.9177i −0.171494 0.527803i 0.827962 0.560784i \(-0.189500\pi\)
−0.999456 + 0.0329805i \(0.989500\pi\)
\(600\) −6.74575 + 0.709007i −0.275394 + 0.0289451i
\(601\) 7.11445 + 1.51222i 0.290204 + 0.0616848i 0.350714 0.936483i \(-0.385939\pi\)
−0.0605091 + 0.998168i \(0.519272\pi\)
\(602\) 2.86654 0.609303i 0.116832 0.0248333i
\(603\) −15.6664 + 21.5630i −0.637986 + 0.878112i
\(604\) 5.34028 + 25.1241i 0.217293 + 1.02228i
\(605\) 3.80280 + 17.8907i 0.154606 + 0.727362i
\(606\) 7.87219 10.8351i 0.319786 0.440148i
\(607\) 41.2198 8.76155i 1.67306 0.355620i 0.728777 0.684751i \(-0.240089\pi\)
0.944284 + 0.329131i \(0.106756\pi\)
\(608\) 25.4476 + 5.40904i 1.03203 + 0.219366i
\(609\) −14.4845 + 1.52238i −0.586942 + 0.0616901i
\(610\) −0.954971 2.93910i −0.0386656 0.119001i
\(611\) 20.5538 + 3.21125i 0.831519 + 0.129913i
\(612\) −13.0143 9.45541i −0.526070 0.382212i
\(613\) 40.3043 4.23615i 1.62788 0.171097i 0.753874 0.657019i \(-0.228183\pi\)
0.874002 + 0.485923i \(0.161516\pi\)
\(614\) 3.47241 6.01439i 0.140135 0.242721i
\(615\) 13.8658 + 24.0163i 0.559123 + 0.968430i
\(616\) 0.272833 + 0.375522i 0.0109927 + 0.0151302i
\(617\) −9.51522 44.7656i −0.383068 1.80219i −0.572055 0.820215i \(-0.693854\pi\)
0.188987 0.981980i \(-0.439480\pi\)
\(618\) 3.05925 + 2.75456i 0.123061 + 0.110805i
\(619\) 34.2937i 1.37838i 0.724581 + 0.689190i \(0.242033\pi\)
−0.724581 + 0.689190i \(0.757967\pi\)
\(620\) −6.99103 + 15.9780i −0.280767 + 0.641692i
\(621\) −6.32178 + 10.9496i −0.253684 + 0.439394i
\(622\) −1.45750 + 6.85699i −0.0584404 + 0.274940i
\(623\) 0.946226 2.91219i 0.0379098 0.116674i
\(624\) 1.39049 + 25.5088i 0.0556642 + 1.02117i
\(625\) −9.30180 −0.372072
\(626\) 7.88262 + 4.55103i 0.315053 + 0.181896i
\(627\) −0.470723 4.47863i −0.0187989 0.178859i
\(628\) −1.65847 + 15.7793i −0.0661802 + 0.629663i
\(629\) 27.0178 37.1868i 1.07727 1.48274i
\(630\) 0.878204 + 0.790738i 0.0349885 + 0.0315038i
\(631\) −12.4076 + 27.8679i −0.493939 + 1.10941i 0.478889 + 0.877876i \(0.341040\pi\)
−0.972828 + 0.231530i \(0.925627\pi\)
\(632\) 6.99691 2.27344i 0.278322 0.0904324i
\(633\) −16.8344 + 3.57826i −0.669106 + 0.142223i
\(634\) −3.23266 + 1.43927i −0.128385 + 0.0571608i
\(635\) 13.4996 12.1551i 0.535717 0.482362i
\(636\) 10.6611 32.8115i 0.422741 1.30106i
\(637\) 16.5696 + 13.3604i 0.656510 + 0.529357i
\(638\) 0.223838 0.688903i 0.00886183 0.0272739i
\(639\) −4.58923 + 21.5906i −0.181547 + 0.854112i
\(640\) 1.72012 + 16.3659i 0.0679939 + 0.646918i
\(641\) 9.81858 10.9046i 0.387811 0.430707i −0.517352 0.855773i \(-0.673082\pi\)
0.905163 + 0.425065i \(0.139749\pi\)
\(642\) −4.91181 + 6.76052i −0.193854 + 0.266817i
\(643\) −5.76999 0.606451i −0.227546 0.0239161i −0.00993098 0.999951i \(-0.503161\pi\)
−0.217615 + 0.976035i \(0.569828\pi\)
\(644\) −3.95119 + 8.87452i −0.155699 + 0.349705i
\(645\) 28.3300i 1.11549i
\(646\) 5.54980 + 9.61253i 0.218354 + 0.378200i
\(647\) −3.03878 28.9121i −0.119467 1.13665i −0.875870 0.482547i \(-0.839712\pi\)
0.756403 0.654105i \(-0.226955\pi\)
\(648\) −11.6689 + 10.5067i −0.458397 + 0.412742i
\(649\) −0.583168 1.79481i −0.0228914 0.0704524i
\(650\) −0.144376 + 2.86996i −0.00566288 + 0.112569i
\(651\) −12.1784 + 4.04382i −0.477310 + 0.158490i
\(652\) 10.6311 + 6.13786i 0.416345 + 0.240377i
\(653\) 39.1430 + 8.32009i 1.53178 + 0.325590i 0.895216 0.445632i \(-0.147021\pi\)
0.636566 + 0.771222i \(0.280354\pi\)
\(654\) −0.404500 + 0.0859791i −0.0158172 + 0.00336205i
\(655\) −20.3375 27.9922i −0.794653 1.09375i
\(656\) −20.9378 + 12.0884i −0.817483 + 0.471974i
\(657\) 12.3756 7.14504i 0.482817 0.278755i
\(658\) 1.29547 + 1.78306i 0.0505026 + 0.0695109i
\(659\) 2.71167 25.7998i 0.105632 1.00502i −0.805414 0.592713i \(-0.798057\pi\)
0.911046 0.412306i \(-0.135276\pi\)
\(660\) 1.97908 0.881143i 0.0770356 0.0342984i
\(661\) 6.56835 30.9017i 0.255479 1.20194i −0.644019 0.765010i \(-0.722734\pi\)
0.899498 0.436925i \(-0.143933\pi\)
\(662\) −8.10814 + 5.89091i −0.315132 + 0.228957i
\(663\) −26.1666 + 26.2765i −1.01622 + 1.02049i
\(664\) 1.78618 5.49731i 0.0693174 0.213337i
\(665\) 4.65332 + 10.4515i 0.180448 + 0.405293i
\(666\) 4.42673 + 4.91638i 0.171532 + 0.190506i
\(667\) 30.7135 6.52836i 1.18923 0.252779i
\(668\) 20.7219 28.5212i 0.801753 1.10352i
\(669\) −0.283707 1.33473i −0.0109687 0.0516038i
\(670\) 6.57464 + 5.91983i 0.254001 + 0.228703i
\(671\) −0.932642 1.28367i −0.0360043 0.0495556i
\(672\) −6.16167 + 6.84323i −0.237692 + 0.263983i
\(673\) −16.0096 + 7.12794i −0.617125 + 0.274762i −0.691396 0.722476i \(-0.743004\pi\)
0.0742705 + 0.997238i \(0.476337\pi\)
\(674\) −4.18170 9.39224i −0.161073 0.361776i
\(675\) 4.49779 3.26784i 0.173120 0.125779i
\(676\) 24.1477 + 2.43570i 0.928757 + 0.0936808i
\(677\) −23.4842 −0.902571 −0.451285 0.892380i \(-0.649034\pi\)
−0.451285 + 0.892380i \(0.649034\pi\)
\(678\) 11.1890 1.17601i 0.429711 0.0451644i
\(679\) 1.90699 + 2.11793i 0.0731836 + 0.0812786i
\(680\) −7.40043 + 8.21901i −0.283794 + 0.315185i
\(681\) 9.71774i 0.372384i
\(682\) 0.0626261 0.635132i 0.00239808 0.0243204i
\(683\) 26.0727 15.0531i 0.997643 0.575989i 0.0900929 0.995933i \(-0.471284\pi\)
0.907550 + 0.419944i \(0.137950\pi\)
\(684\) 21.3175 6.92648i 0.815095 0.264841i
\(685\) 2.19654 0.466889i 0.0839256 0.0178389i
\(686\) 0.515215 + 4.90195i 0.0196710 + 0.187157i
\(687\) −7.44908 4.30073i −0.284200 0.164083i
\(688\) 24.6985 0.941623
\(689\) −27.0029 13.6874i −1.02873 0.521449i
\(690\) −5.41479 3.93408i −0.206138 0.149768i
\(691\) 10.6358 + 23.8884i 0.404606 + 0.908759i 0.994833 + 0.101522i \(0.0323713\pi\)
−0.590228 + 0.807237i \(0.700962\pi\)
\(692\) −8.90606 1.89304i −0.338558 0.0719626i
\(693\) 0.554295 + 0.246788i 0.0210559 + 0.00937470i
\(694\) 3.38626 1.10026i 0.128541 0.0417654i
\(695\) −2.76861 13.0253i −0.105020 0.494078i
\(696\) 19.5105 + 2.05064i 0.739543 + 0.0777291i
\(697\) −33.3769 10.8448i −1.26424 0.410776i
\(698\) 6.13963 1.30502i 0.232388 0.0493957i
\(699\) 4.06446 1.80961i 0.153732 0.0684459i
\(700\) 3.17439 2.85823i 0.119981 0.108031i
\(701\) 12.3738 + 38.0825i 0.467350 + 1.43836i 0.856002 + 0.516972i \(0.172941\pi\)
−0.388652 + 0.921385i \(0.627059\pi\)
\(702\) 1.82858 + 2.80289i 0.0690155 + 0.105788i
\(703\) 19.7917 + 60.9125i 0.746457 + 2.29736i
\(704\) 0.636667 + 1.42998i 0.0239953 + 0.0538943i
\(705\) 19.4639 8.66590i 0.733054 0.326377i
\(706\) −5.54696 2.46967i −0.208763 0.0929471i
\(707\) 17.4697i 0.657015i
\(708\) 21.3701 12.3381i 0.803139 0.463693i
\(709\) −3.54529 + 7.96286i −0.133146 + 0.299051i −0.967799 0.251726i \(-0.919002\pi\)
0.834652 + 0.550777i \(0.185669\pi\)
\(710\) 6.96810 + 2.26407i 0.261508 + 0.0849692i
\(711\) 6.43493 7.14671i 0.241329 0.268023i
\(712\) −2.06228 + 3.57197i −0.0772872 + 0.133865i
\(713\) 25.2008 11.4150i 0.943776 0.427493i
\(714\) −3.92873 −0.147029
\(715\) −0.495860 1.83518i −0.0185441 0.0686318i
\(716\) −7.91756 + 24.3678i −0.295893 + 0.910666i
\(717\) −41.4560 + 4.35720i −1.54820 + 0.162723i
\(718\) 0.870935 1.50850i 0.0325030 0.0562969i
\(719\) −8.59666 14.8899i −0.320601 0.555298i 0.660011 0.751256i \(-0.270552\pi\)
−0.980612 + 0.195958i \(0.937218\pi\)
\(720\) 5.85407 + 8.05743i 0.218168 + 0.300283i
\(721\) −5.34028 0.561286i −0.198882 0.0209034i
\(722\) −8.48845 0.892172i −0.315907 0.0332032i
\(723\) −44.8157 + 14.5615i −1.66671 + 0.541548i
\(724\) 22.0733 + 9.82766i 0.820347 + 0.365242i
\(725\) −13.5052 2.87062i −0.501571 0.106612i
\(726\) 6.50382 5.85607i 0.241380 0.217339i
\(727\) 5.91694 + 4.29891i 0.219447 + 0.159438i 0.692078 0.721823i \(-0.256696\pi\)
−0.472631 + 0.881261i \(0.656696\pi\)
\(728\) 3.36034 + 4.13193i 0.124542 + 0.153140i
\(729\) −1.15094 + 3.54222i −0.0426273 + 0.131193i
\(730\) −1.92928 4.33324i −0.0714059 0.160380i
\(731\) 23.9895 + 26.6431i 0.887285 + 0.985430i
\(732\) 13.8827 15.4183i 0.513118 0.569875i
\(733\) −12.6560 17.4195i −0.467460 0.643404i 0.508575 0.861018i \(-0.330173\pi\)
−0.976035 + 0.217614i \(0.930173\pi\)
\(734\) 6.92101 + 6.23171i 0.255459 + 0.230016i
\(735\) 21.6800 + 2.27865i 0.799677 + 0.0840494i
\(736\) 11.6692 16.0613i 0.430133 0.592028i
\(737\) 4.14971 + 1.84757i 0.152856 + 0.0680561i
\(738\) 2.52552 4.37432i 0.0929655 0.161021i
\(739\) −31.5636 18.2233i −1.16109 0.670354i −0.209523 0.977804i \(-0.567191\pi\)
−0.951564 + 0.307450i \(0.900524\pi\)
\(740\) −24.9264 + 18.1101i −0.916314 + 0.665741i
\(741\) −8.19002 51.0173i −0.300868 1.87417i
\(742\) −0.991123 3.05036i −0.0363853 0.111982i
\(743\) −14.7908 8.53946i −0.542621 0.313282i 0.203520 0.979071i \(-0.434762\pi\)
−0.746141 + 0.665789i \(0.768095\pi\)
\(744\) 17.1782 1.91733i 0.629785 0.0702928i
\(745\) 4.35321 + 7.53999i 0.159489 + 0.276244i
\(746\) 6.07882 1.97513i 0.222561 0.0723146i
\(747\) −1.57092 7.39062i −0.0574771 0.270409i
\(748\) −1.11509 + 2.50454i −0.0407718 + 0.0915750i
\(749\) 10.9001i 0.398281i
\(750\) 4.83901 + 8.38141i 0.176696 + 0.306046i
\(751\) 3.15716 + 30.0384i 0.115207 + 1.09612i 0.887486 + 0.460834i \(0.152450\pi\)
−0.772280 + 0.635283i \(0.780884\pi\)
\(752\) 7.55507 + 16.9690i 0.275505 + 0.618795i
\(753\) −11.8494 8.60909i −0.431816 0.313733i
\(754\) 2.13426 8.03248i 0.0777251 0.292526i
\(755\) 18.6750