Properties

Label 690.2.n.a.89.7
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.7
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.16282 - 1.28368i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(2.23565 - 0.0433117i) q^{5} +(-1.10513 + 1.33367i) q^{6} +(1.95813 - 1.25842i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-0.295684 + 2.98539i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.16282 - 1.28368i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(2.23565 - 0.0433117i) q^{5} +(-1.10513 + 1.33367i) q^{6} +(1.95813 - 1.25842i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-0.295684 + 2.98539i) q^{9} +(-0.361037 - 2.20673i) q^{10} +(-0.0412214 + 0.286701i) q^{11} +(1.47738 + 0.904080i) q^{12} +(1.87184 - 2.91263i) q^{13} +(-1.52428 - 1.75911i) q^{14} +(-2.65526 - 2.81950i) q^{15} +(0.841254 - 0.540641i) q^{16} +(1.45726 - 4.96297i) q^{17} +(2.99709 - 0.132191i) q^{18} +(2.20986 + 7.52609i) q^{19} +(-2.13289 + 0.671412i) q^{20} +(-3.89237 - 1.05031i) q^{21} +0.289649 q^{22} +(4.72344 + 0.830119i) q^{23} +(0.684625 - 1.59100i) q^{24} +(4.99625 - 0.193659i) q^{25} +(-3.14938 - 1.43827i) q^{26} +(4.17613 - 3.09192i) q^{27} +(-1.52428 + 1.75911i) q^{28} +(1.28974 - 4.39246i) q^{29} +(-2.41292 + 3.02949i) q^{30} +(-0.269124 - 0.589299i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(0.415966 - 0.280467i) q^{33} +(-5.11984 - 0.736122i) q^{34} +(4.32319 - 2.89819i) q^{35} +(-0.557376 - 2.94777i) q^{36} +(-6.06516 - 6.99957i) q^{37} +(7.13499 - 3.25844i) q^{38} +(-5.91551 + 0.984034i) q^{39} +(0.968120 + 2.01563i) q^{40} +(-6.02707 - 5.22249i) q^{41} +(-0.485675 + 4.00223i) q^{42} +(-4.06093 + 8.89220i) q^{43} +(-0.0412214 - 0.286701i) q^{44} +(-0.531743 + 6.68710i) q^{45} +(0.149454 - 4.79350i) q^{46} -12.5393 q^{47} +(-1.67224 - 0.451233i) q^{48} +(-0.657229 + 1.43913i) q^{49} +(-0.902728 - 4.91783i) q^{50} +(-8.06541 + 3.90040i) q^{51} +(-0.975429 + 3.32201i) q^{52} +(-5.71601 - 8.89428i) q^{53} +(-3.65477 - 3.69359i) q^{54} +(-0.0797390 + 0.642748i) q^{55} +(1.95813 + 1.25842i) q^{56} +(7.09144 - 11.5883i) q^{57} +(-4.53130 - 0.651502i) q^{58} +(1.03617 - 1.61231i) q^{59} +(3.34205 + 1.95722i) q^{60} +(5.15339 - 2.35348i) q^{61} +(-0.545000 + 0.350250i) q^{62} +(3.17788 + 6.21789i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(4.05861 - 6.59269i) q^{65} +(-0.336811 - 0.371818i) q^{66} +(1.48727 + 10.3442i) q^{67} +5.17249i q^{68} +(-4.42692 - 7.02868i) q^{69} +(-3.48394 - 3.86674i) q^{70} +(8.25991 - 1.18760i) q^{71} +(-2.83844 + 0.971213i) q^{72} +(3.93552 + 13.4031i) q^{73} +(-6.06516 + 6.99957i) q^{74} +(-6.05835 - 6.18841i) q^{75} +(-4.24069 - 6.59864i) q^{76} +(0.280072 + 0.613272i) q^{77} +(1.81588 + 5.71526i) q^{78} +(5.89554 - 9.17364i) q^{79} +(1.85733 - 1.24512i) q^{80} +(-8.82514 - 1.76547i) q^{81} +(-4.31159 + 6.70896i) q^{82} +(5.21189 - 4.51613i) q^{83} +(4.03061 - 0.0888450i) q^{84} +(3.04296 - 11.1586i) q^{85} +(9.37962 + 2.75411i) q^{86} +(-7.13826 + 3.45203i) q^{87} +(-0.277916 + 0.0816036i) q^{88} +(-2.75722 + 6.03747i) q^{89} +(6.69471 - 0.425342i) q^{90} -8.05887i q^{91} +(-4.76598 + 0.534254i) q^{92} +(-0.443530 + 1.03072i) q^{93} +(1.78453 + 12.4116i) q^{94} +(5.26643 + 16.7300i) q^{95} +(-0.208656 + 1.71944i) q^{96} +(10.7860 - 12.4477i) q^{97} +(1.51802 + 0.445730i) q^{98} +(-0.843726 - 0.207835i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −1.16282 1.28368i −0.671356 0.741135i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 2.23565 0.0433117i 0.999812 0.0193696i
\(6\) −1.10513 + 1.33367i −0.451167 + 0.544470i
\(7\) 1.95813 1.25842i 0.740105 0.475637i −0.115473 0.993311i \(-0.536838\pi\)
0.855578 + 0.517674i \(0.173202\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −0.295684 + 2.98539i −0.0985614 + 0.995131i
\(10\) −0.361037 2.20673i −0.114170 0.697829i
\(11\) −0.0412214 + 0.286701i −0.0124287 + 0.0864436i −0.995092 0.0989573i \(-0.968449\pi\)
0.982663 + 0.185401i \(0.0593584\pi\)
\(12\) 1.47738 + 0.904080i 0.426482 + 0.260985i
\(13\) 1.87184 2.91263i 0.519154 0.807819i −0.478369 0.878159i \(-0.658772\pi\)
0.997523 + 0.0703399i \(0.0224084\pi\)
\(14\) −1.52428 1.75911i −0.407381 0.470142i
\(15\) −2.65526 2.81950i −0.685586 0.727992i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 1.45726 4.96297i 0.353437 1.20370i −0.570547 0.821265i \(-0.693269\pi\)
0.923984 0.382431i \(-0.124913\pi\)
\(18\) 2.99709 0.132191i 0.706420 0.0311578i
\(19\) 2.20986 + 7.52609i 0.506976 + 1.72660i 0.672221 + 0.740350i \(0.265340\pi\)
−0.165245 + 0.986253i \(0.552841\pi\)
\(20\) −2.13289 + 0.671412i −0.476928 + 0.150132i
\(21\) −3.89237 1.05031i −0.849385 0.229196i
\(22\) 0.289649 0.0617534
\(23\) 4.72344 + 0.830119i 0.984906 + 0.173092i
\(24\) 0.684625 1.59100i 0.139748 0.324762i
\(25\) 4.99625 0.193659i 0.999250 0.0387319i
\(26\) −3.14938 1.43827i −0.617643 0.282068i
\(27\) 4.17613 3.09192i 0.803696 0.595040i
\(28\) −1.52428 + 1.75911i −0.288062 + 0.332441i
\(29\) 1.28974 4.39246i 0.239499 0.815659i −0.748756 0.662846i \(-0.769349\pi\)
0.988255 0.152813i \(-0.0488333\pi\)
\(30\) −2.41292 + 3.02949i −0.440537 + 0.553107i
\(31\) −0.269124 0.589299i −0.0483361 0.105841i 0.883923 0.467632i \(-0.154893\pi\)
−0.932259 + 0.361791i \(0.882165\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 0.415966 0.280467i 0.0724104 0.0488231i
\(34\) −5.11984 0.736122i −0.878046 0.126244i
\(35\) 4.32319 2.89819i 0.730753 0.489883i
\(36\) −0.557376 2.94777i −0.0928959 0.491295i
\(37\) −6.06516 6.99957i −0.997107 1.15072i −0.988571 0.150759i \(-0.951828\pi\)
−0.00853621 0.999964i \(-0.502717\pi\)
\(38\) 7.13499 3.25844i 1.15745 0.528589i
\(39\) −5.91551 + 0.984034i −0.947240 + 0.157571i
\(40\) 0.968120 + 2.01563i 0.153073 + 0.318698i
\(41\) −6.02707 5.22249i −0.941270 0.815615i 0.0417470 0.999128i \(-0.486708\pi\)
−0.983017 + 0.183513i \(0.941253\pi\)
\(42\) −0.485675 + 4.00223i −0.0749412 + 0.617557i
\(43\) −4.06093 + 8.89220i −0.619286 + 1.35605i 0.296751 + 0.954955i \(0.404097\pi\)
−0.916037 + 0.401093i \(0.868630\pi\)
\(44\) −0.0412214 0.286701i −0.00621435 0.0432218i
\(45\) −0.531743 + 6.68710i −0.0792676 + 0.996853i
\(46\) 0.149454 4.79350i 0.0220358 0.706763i
\(47\) −12.5393 −1.82904 −0.914521 0.404539i \(-0.867432\pi\)
−0.914521 + 0.404539i \(0.867432\pi\)
\(48\) −1.67224 0.451233i −0.241367 0.0651299i
\(49\) −0.657229 + 1.43913i −0.0938898 + 0.205590i
\(50\) −0.902728 4.91783i −0.127665 0.695487i
\(51\) −8.06541 + 3.90040i −1.12938 + 0.546165i
\(52\) −0.975429 + 3.32201i −0.135268 + 0.460679i
\(53\) −5.71601 8.89428i −0.785154 1.22172i −0.970985 0.239142i \(-0.923134\pi\)
0.185831 0.982582i \(-0.440502\pi\)
\(54\) −3.65477 3.69359i −0.497352 0.502634i
\(55\) −0.0797390 + 0.642748i −0.0107520 + 0.0866681i
\(56\) 1.95813 + 1.25842i 0.261667 + 0.168163i
\(57\) 7.09144 11.5883i 0.939284 1.53490i
\(58\) −4.53130 0.651502i −0.594988 0.0855464i
\(59\) 1.03617 1.61231i 0.134898 0.209905i −0.767232 0.641369i \(-0.778367\pi\)
0.902130 + 0.431465i \(0.142003\pi\)
\(60\) 3.34205 + 1.95722i 0.431457 + 0.252676i
\(61\) 5.15339 2.35348i 0.659825 0.301332i −0.0572174 0.998362i \(-0.518223\pi\)
0.717042 + 0.697030i \(0.245496\pi\)
\(62\) −0.545000 + 0.350250i −0.0692151 + 0.0444819i
\(63\) 3.17788 + 6.21789i 0.400375 + 0.783381i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 4.05861 6.59269i 0.503409 0.817723i
\(66\) −0.336811 0.371818i −0.0414585 0.0457676i
\(67\) 1.48727 + 10.3442i 0.181699 + 1.26374i 0.852745 + 0.522327i \(0.174936\pi\)
−0.671046 + 0.741415i \(0.734155\pi\)
\(68\) 5.17249i 0.627257i
\(69\) −4.42692 7.02868i −0.532938 0.846154i
\(70\) −3.48394 3.86674i −0.416411 0.462163i
\(71\) 8.25991 1.18760i 0.980270 0.140942i 0.366493 0.930421i \(-0.380558\pi\)
0.613777 + 0.789479i \(0.289649\pi\)
\(72\) −2.83844 + 0.971213i −0.334513 + 0.114459i
\(73\) 3.93552 + 13.4031i 0.460617 + 1.56872i 0.782945 + 0.622091i \(0.213717\pi\)
−0.322328 + 0.946628i \(0.604465\pi\)
\(74\) −6.06516 + 6.99957i −0.705061 + 0.813684i
\(75\) −6.05835 6.18841i −0.699558 0.714576i
\(76\) −4.24069 6.59864i −0.486440 0.756916i
\(77\) 0.280072 + 0.613272i 0.0319172 + 0.0698889i
\(78\) 1.81588 + 5.71526i 0.205608 + 0.647125i
\(79\) 5.89554 9.17364i 0.663300 1.03212i −0.332723 0.943025i \(-0.607967\pi\)
0.996023 0.0890910i \(-0.0283962\pi\)
\(80\) 1.85733 1.24512i 0.207656 0.139209i
\(81\) −8.82514 1.76547i −0.980571 0.196163i
\(82\) −4.31159 + 6.70896i −0.476135 + 0.740881i
\(83\) 5.21189 4.51613i 0.572079 0.495709i −0.320105 0.947382i \(-0.603718\pi\)
0.892184 + 0.451673i \(0.149173\pi\)
\(84\) 4.03061 0.0888450i 0.439775 0.00969378i
\(85\) 3.04296 11.1586i 0.330056 1.21032i
\(86\) 9.37962 + 2.75411i 1.01143 + 0.296983i
\(87\) −7.13826 + 3.45203i −0.765302 + 0.370097i
\(88\) −0.277916 + 0.0816036i −0.0296260 + 0.00869897i
\(89\) −2.75722 + 6.03747i −0.292265 + 0.639970i −0.997625 0.0688784i \(-0.978058\pi\)
0.705360 + 0.708849i \(0.250785\pi\)
\(90\) 6.69471 0.425342i 0.705684 0.0448350i
\(91\) 8.05887i 0.844799i
\(92\) −4.76598 + 0.534254i −0.496888 + 0.0556998i
\(93\) −0.443530 + 1.03072i −0.0459919 + 0.106881i
\(94\) 1.78453 + 12.4116i 0.184060 + 1.28016i
\(95\) 5.26643 + 16.7300i 0.540325 + 1.71646i
\(96\) −0.208656 + 1.71944i −0.0212958 + 0.175489i
\(97\) 10.7860 12.4477i 1.09515 1.26387i 0.133068 0.991107i \(-0.457517\pi\)
0.962081 0.272763i \(-0.0879374\pi\)
\(98\) 1.51802 + 0.445730i 0.153343 + 0.0450255i
\(99\) −0.843726 0.207835i −0.0847977 0.0208882i
\(100\) −4.73930 + 1.59342i −0.473930 + 0.159342i
\(101\) −8.44782 + 7.32008i −0.840589 + 0.728375i −0.964547 0.263913i \(-0.914987\pi\)
0.123957 + 0.992288i \(0.460441\pi\)
\(102\) 5.00852 + 7.42823i 0.495918 + 0.735505i
\(103\) −0.785042 + 5.46009i −0.0773525 + 0.537998i 0.913892 + 0.405958i \(0.133062\pi\)
−0.991244 + 0.132041i \(0.957847\pi\)
\(104\) 3.42701 + 0.492730i 0.336046 + 0.0483161i
\(105\) −8.74746 2.17953i −0.853665 0.212701i
\(106\) −7.99028 + 6.92361i −0.776084 + 0.672481i
\(107\) 9.79086 4.47134i 0.946518 0.432260i 0.118495 0.992955i \(-0.462193\pi\)
0.828023 + 0.560694i \(0.189466\pi\)
\(108\) −3.13587 + 4.14323i −0.301749 + 0.398682i
\(109\) −2.10227 + 7.15968i −0.201361 + 0.685773i 0.795453 + 0.606015i \(0.207233\pi\)
−0.996814 + 0.0797579i \(0.974585\pi\)
\(110\) 0.647554 0.0125452i 0.0617418 0.00119614i
\(111\) −1.93252 + 15.9250i −0.183427 + 1.51154i
\(112\) 0.966936 2.11729i 0.0913668 0.200065i
\(113\) −3.47775 + 0.500025i −0.327159 + 0.0470384i −0.303938 0.952692i \(-0.598301\pi\)
−0.0232218 + 0.999730i \(0.507392\pi\)
\(114\) −12.4795 5.37007i −1.16882 0.502953i
\(115\) 10.5959 + 1.65127i 0.988074 + 0.153982i
\(116\) 4.57789i 0.425047i
\(117\) 8.14188 + 6.44938i 0.752717 + 0.596246i
\(118\) −1.74336 0.796166i −0.160489 0.0732930i
\(119\) −3.39197 11.5520i −0.310941 1.05897i
\(120\) 1.46167 3.58657i 0.133432 0.327408i
\(121\) 10.4739 + 3.07542i 0.952175 + 0.279584i
\(122\) −3.06293 4.76601i −0.277304 0.431494i
\(123\) 0.304401 + 13.8097i 0.0274469 + 1.24518i
\(124\) 0.424247 + 0.489607i 0.0380985 + 0.0439680i
\(125\) 11.1615 0.649350i 0.998312 0.0580796i
\(126\) 5.70234 4.03043i 0.508005 0.359059i
\(127\) −14.2740 2.05229i −1.26661 0.182112i −0.523935 0.851759i \(-0.675536\pi\)
−0.742680 + 0.669647i \(0.766445\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 16.1369 5.12711i 1.42078 0.451417i
\(130\) −7.10319 3.07907i −0.622991 0.270052i
\(131\) 4.16913 + 6.48729i 0.364258 + 0.566797i 0.974210 0.225641i \(-0.0724477\pi\)
−0.609952 + 0.792438i \(0.708811\pi\)
\(132\) −0.320100 + 0.386298i −0.0278611 + 0.0336229i
\(133\) 13.7981 + 11.9562i 1.19645 + 1.03673i
\(134\) 10.0272 2.94426i 0.866221 0.254345i
\(135\) 9.20243 7.09332i 0.792019 0.610496i
\(136\) 5.11984 0.736122i 0.439023 0.0631220i
\(137\) 9.63039i 0.822779i −0.911460 0.411390i \(-0.865044\pi\)
0.911460 0.411390i \(-0.134956\pi\)
\(138\) −6.32713 + 5.38214i −0.538601 + 0.458159i
\(139\) 1.21434 0.102999 0.0514994 0.998673i \(-0.483600\pi\)
0.0514994 + 0.998673i \(0.483600\pi\)
\(140\) −3.33156 + 3.99877i −0.281568 + 0.337958i
\(141\) 14.5810 + 16.0965i 1.22794 + 1.35557i
\(142\) −2.35101 8.00682i −0.197293 0.671917i
\(143\) 0.757895 + 0.656719i 0.0633783 + 0.0549176i
\(144\) 1.36528 + 2.67133i 0.113773 + 0.222611i
\(145\) 2.69316 9.87585i 0.223655 0.820145i
\(146\) 12.7066 5.80293i 1.05161 0.480254i
\(147\) 2.61163 0.829781i 0.215403 0.0684392i
\(148\) 7.79149 + 5.00729i 0.640456 + 0.411596i
\(149\) 0.0828029 0.575907i 0.00678348 0.0471801i −0.986149 0.165864i \(-0.946959\pi\)
0.992932 + 0.118684i \(0.0378677\pi\)
\(150\) −5.26323 + 6.87739i −0.429741 + 0.561536i
\(151\) −12.7568 8.19829i −1.03813 0.667168i −0.0936087 0.995609i \(-0.529840\pi\)
−0.944524 + 0.328442i \(0.893477\pi\)
\(152\) −5.92796 + 5.13661i −0.480821 + 0.416634i
\(153\) 14.3855 + 5.81796i 1.16300 + 0.470354i
\(154\) 0.567172 0.364499i 0.0457040 0.0293722i
\(155\) −0.627190 1.30581i −0.0503771 0.104885i
\(156\) 5.39866 2.61077i 0.432238 0.209028i
\(157\) −5.55105 + 1.62993i −0.443022 + 0.130083i −0.495633 0.868532i \(-0.665064\pi\)
0.0526111 + 0.998615i \(0.483246\pi\)
\(158\) −9.91929 4.52999i −0.789137 0.360387i
\(159\) −4.77073 + 17.6800i −0.378344 + 1.40212i
\(160\) −1.49677 1.66123i −0.118330 0.131332i
\(161\) 10.2938 4.31857i 0.811262 0.340351i
\(162\) −0.491548 + 8.98657i −0.0386197 + 0.706051i
\(163\) 0.671948 0.0966116i 0.0526310 0.00756720i −0.115949 0.993255i \(-0.536991\pi\)
0.168580 + 0.985688i \(0.446082\pi\)
\(164\) 7.25428 + 3.31292i 0.566464 + 0.258695i
\(165\) 0.917807 0.645042i 0.0714512 0.0502165i
\(166\) −5.21189 4.51613i −0.404521 0.350519i
\(167\) −8.16570 2.39767i −0.631881 0.185537i −0.0499193 0.998753i \(-0.515896\pi\)
−0.581962 + 0.813216i \(0.697715\pi\)
\(168\) −0.661556 3.97694i −0.0510402 0.306827i
\(169\) 0.420735 + 0.921282i 0.0323643 + 0.0708678i
\(170\) −11.4780 1.42396i −0.880326 0.109213i
\(171\) −23.1217 + 4.37195i −1.76816 + 0.334332i
\(172\) 1.39121 9.67610i 0.106079 0.737796i
\(173\) −3.07473 + 21.3852i −0.233767 + 1.62589i 0.447800 + 0.894134i \(0.352208\pi\)
−0.681568 + 0.731755i \(0.738702\pi\)
\(174\) 4.43278 + 6.57433i 0.336048 + 0.498399i
\(175\) 9.53962 6.66657i 0.721127 0.503945i
\(176\) 0.120325 + 0.263474i 0.00906981 + 0.0198601i
\(177\) −3.27457 + 0.544719i −0.246132 + 0.0409436i
\(178\) 6.36841 + 1.86993i 0.477333 + 0.140157i
\(179\) 10.9393 + 9.47896i 0.817642 + 0.708491i 0.959596 0.281382i \(-0.0907929\pi\)
−0.141954 + 0.989873i \(0.545338\pi\)
\(180\) −1.37377 6.56603i −0.102395 0.489403i
\(181\) 10.8061 + 4.93496i 0.803208 + 0.366813i 0.774339 0.632770i \(-0.218082\pi\)
0.0288686 + 0.999583i \(0.490810\pi\)
\(182\) −7.97684 + 1.14690i −0.591283 + 0.0850136i
\(183\) −9.01361 3.87865i −0.666305 0.286718i
\(184\) 1.20709 + 4.64144i 0.0889875 + 0.342171i
\(185\) −13.8627 15.3859i −1.01921 1.13119i
\(186\) 1.08335 + 0.292328i 0.0794350 + 0.0214346i
\(187\) 1.36282 + 0.622378i 0.0996591 + 0.0455128i
\(188\) 12.0313 3.53272i 0.877476 0.257650i
\(189\) 4.28649 11.3097i 0.311796 0.822659i
\(190\) 15.8102 7.59375i 1.14699 0.550909i
\(191\) −0.972388 + 0.624916i −0.0703595 + 0.0452173i −0.575348 0.817909i \(-0.695133\pi\)
0.504988 + 0.863126i \(0.331497\pi\)
\(192\) 1.73163 0.0381696i 0.124970 0.00275465i
\(193\) 1.48280 1.28486i 0.106735 0.0924860i −0.599859 0.800106i \(-0.704777\pi\)
0.706593 + 0.707620i \(0.250231\pi\)
\(194\) −13.8560 8.90470i −0.994801 0.639320i
\(195\) −13.1824 + 2.45616i −0.944010 + 0.175890i
\(196\) 0.225157 1.56600i 0.0160826 0.111857i
\(197\) 3.09802 + 1.99098i 0.220725 + 0.141851i 0.646331 0.763057i \(-0.276303\pi\)
−0.425606 + 0.904909i \(0.639939\pi\)
\(198\) −0.0856446 + 0.864716i −0.00608650 + 0.0614527i
\(199\) −10.7425 + 4.90595i −0.761517 + 0.347773i −0.758029 0.652221i \(-0.773838\pi\)
−0.00348810 + 0.999994i \(0.501110\pi\)
\(200\) 2.25168 + 4.46430i 0.159217 + 0.315674i
\(201\) 11.5492 13.9376i 0.814619 0.983085i
\(202\) 8.44782 + 7.32008i 0.594386 + 0.515039i
\(203\) −3.00205 10.2240i −0.210703 0.717588i
\(204\) 6.63984 6.01469i 0.464882 0.421113i
\(205\) −13.7006 11.4146i −0.956892 0.797230i
\(206\) 5.51624 0.384334
\(207\) −3.87488 + 13.8559i −0.269323 + 0.963050i
\(208\) 3.46225i 0.240064i
\(209\) −2.24883 + 0.323333i −0.155555 + 0.0223654i
\(210\) −0.912455 + 8.96861i −0.0629654 + 0.618893i
\(211\) −0.932555 + 0.273823i −0.0641997 + 0.0188507i −0.313675 0.949531i \(-0.601560\pi\)
0.249475 + 0.968381i \(0.419742\pi\)
\(212\) 7.99028 + 6.92361i 0.548774 + 0.475516i
\(213\) −11.1293 9.22214i −0.762567 0.631890i
\(214\) −5.81921 9.05487i −0.397793 0.618978i
\(215\) −8.69368 + 20.0557i −0.592904 + 1.36779i
\(216\) 4.54733 + 2.51431i 0.309407 + 0.171077i
\(217\) −1.26856 0.815256i −0.0861157 0.0553432i
\(218\) 7.38599 + 1.06195i 0.500242 + 0.0719240i
\(219\) 12.6291 20.6374i 0.853394 1.39455i
\(220\) −0.104574 0.639177i −0.00705038 0.0430933i
\(221\) −11.7276 13.5343i −0.788881 0.910417i
\(222\) 16.0379 0.353518i 1.07640 0.0237266i
\(223\) 0.165666 + 0.257781i 0.0110938 + 0.0172623i 0.846756 0.531981i \(-0.178552\pi\)
−0.835662 + 0.549244i \(0.814916\pi\)
\(224\) −2.23335 0.655771i −0.149222 0.0438156i
\(225\) −0.899162 + 14.9730i −0.0599441 + 0.998202i
\(226\) 0.989872 + 3.37119i 0.0658453 + 0.224248i
\(227\) −0.487984 0.222855i −0.0323886 0.0147914i 0.399155 0.916884i \(-0.369304\pi\)
−0.431543 + 0.902092i \(0.642031\pi\)
\(228\) −3.53939 + 13.1168i −0.234402 + 0.868678i
\(229\) 23.0805i 1.52520i 0.646870 + 0.762601i \(0.276078\pi\)
−0.646870 + 0.762601i \(0.723922\pi\)
\(230\) 0.126512 10.7231i 0.00834197 0.707058i
\(231\) 0.461573 1.07265i 0.0303693 0.0705753i
\(232\) 4.53130 0.651502i 0.297494 0.0427732i
\(233\) −4.12602 + 9.03471i −0.270304 + 0.591884i −0.995297 0.0968730i \(-0.969116\pi\)
0.724992 + 0.688757i \(0.241843\pi\)
\(234\) 5.22503 8.97685i 0.341571 0.586835i
\(235\) −28.0334 + 0.543097i −1.82870 + 0.0354277i
\(236\) −0.539956 + 1.83892i −0.0351481 + 0.119704i
\(237\) −18.6315 + 3.09932i −1.21025 + 0.201322i
\(238\) −10.9517 + 5.00147i −0.709892 + 0.324197i
\(239\) 5.12101 4.43738i 0.331250 0.287030i −0.473316 0.880893i \(-0.656943\pi\)
0.804567 + 0.593863i \(0.202398\pi\)
\(240\) −3.75809 0.936371i −0.242583 0.0604425i
\(241\) 20.4659 + 2.94255i 1.31832 + 0.189546i 0.765329 0.643640i \(-0.222576\pi\)
0.552993 + 0.833186i \(0.313486\pi\)
\(242\) 1.55352 10.8050i 0.0998643 0.694571i
\(243\) 7.99578 + 13.3816i 0.512930 + 0.858431i
\(244\) −4.28160 + 3.71002i −0.274101 + 0.237510i
\(245\) −1.40700 + 3.24586i −0.0898900 + 0.207370i
\(246\) 13.6258 2.26662i 0.868749 0.144515i
\(247\) 26.0572 + 7.65109i 1.65798 + 0.486827i
\(248\) 0.424247 0.489607i 0.0269397 0.0310901i
\(249\) −11.8578 1.43895i −0.751456 0.0911901i
\(250\) −2.23118 10.9554i −0.141112 0.692883i
\(251\) 2.29818 + 15.9842i 0.145060 + 1.00891i 0.924158 + 0.382011i \(0.124768\pi\)
−0.779098 + 0.626902i \(0.784323\pi\)
\(252\) −4.80093 5.07071i −0.302430 0.319425i
\(253\) −0.432703 + 1.32000i −0.0272038 + 0.0829875i
\(254\) 14.4208i 0.904841i
\(255\) −17.8625 + 9.06924i −1.11859 + 0.567938i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −5.48842 + 1.61155i −0.342358 + 0.100525i −0.448392 0.893837i \(-0.648003\pi\)
0.106034 + 0.994363i \(0.466185\pi\)
\(258\) −7.37144 15.2430i −0.458926 0.948988i
\(259\) −20.6848 6.07360i −1.28529 0.377395i
\(260\) −2.03684 + 7.46909i −0.126319 + 0.463213i
\(261\) 12.7319 + 5.14917i 0.788082 + 0.318725i
\(262\) 5.82793 5.04993i 0.360051 0.311986i
\(263\) 7.59268 11.8144i 0.468185 0.728510i −0.524212 0.851588i \(-0.675640\pi\)
0.992397 + 0.123078i \(0.0392765\pi\)
\(264\) 0.427921 + 0.261866i 0.0263367 + 0.0161167i
\(265\) −13.1642 19.6369i −0.808671 1.20629i
\(266\) 9.87079 15.3592i 0.605217 0.941736i
\(267\) 10.9564 3.48111i 0.670518 0.213041i
\(268\) −4.34132 9.50615i −0.265188 0.580681i
\(269\) 2.18049 + 3.39291i 0.132947 + 0.206870i 0.901344 0.433104i \(-0.142582\pi\)
−0.768397 + 0.639974i \(0.778945\pi\)
\(270\) −8.33076 8.09928i −0.506994 0.492907i
\(271\) 4.20517 4.85303i 0.255446 0.294800i −0.613513 0.789685i \(-0.710244\pi\)
0.868959 + 0.494884i \(0.164790\pi\)
\(272\) −1.45726 4.96297i −0.0883593 0.300924i
\(273\) −10.3450 + 9.37104i −0.626110 + 0.567161i
\(274\) −9.53236 + 1.37055i −0.575871 + 0.0827978i
\(275\) −0.150430 + 1.44041i −0.00907126 + 0.0868601i
\(276\) 6.22781 + 5.49677i 0.374870 + 0.330866i
\(277\) 2.55599i 0.153575i 0.997048 + 0.0767873i \(0.0244662\pi\)
−0.997048 + 0.0767873i \(0.975534\pi\)
\(278\) −0.172818 1.20198i −0.0103650 0.0720899i
\(279\) 1.83886 0.629194i 0.110090 0.0376689i
\(280\) 4.43220 + 2.72857i 0.264875 + 0.163063i
\(281\) −9.39095 + 10.8377i −0.560217 + 0.646525i −0.963233 0.268668i \(-0.913417\pi\)
0.403016 + 0.915193i \(0.367962\pi\)
\(282\) 13.8575 16.7233i 0.825204 0.995859i
\(283\) −8.15487 + 5.24082i −0.484757 + 0.311534i −0.760094 0.649814i \(-0.774847\pi\)
0.275337 + 0.961348i \(0.411211\pi\)
\(284\) −7.59074 + 3.46657i −0.450427 + 0.205703i
\(285\) 15.3521 26.2144i 0.909377 1.55281i
\(286\) 0.542175 0.843641i 0.0320595 0.0498856i
\(287\) −18.3739 2.64176i −1.08458 0.155938i
\(288\) 2.44984 1.73155i 0.144358 0.102033i
\(289\) −8.20614 5.27377i −0.482714 0.310222i
\(290\) −10.1586 1.26027i −0.596534 0.0740057i
\(291\) −28.5210 + 0.628677i −1.67193 + 0.0368537i
\(292\) −7.55220 11.7515i −0.441959 0.687702i
\(293\) −4.17455 + 14.2172i −0.243880 + 0.830579i 0.743023 + 0.669266i \(0.233391\pi\)
−0.986903 + 0.161313i \(0.948427\pi\)
\(294\) −1.19301 2.46696i −0.0695777 0.143876i
\(295\) 2.24668 3.64943i 0.130807 0.212478i
\(296\) 3.84747 8.42479i 0.223630 0.489681i
\(297\) 0.714310 + 1.32475i 0.0414485 + 0.0768699i
\(298\) −0.581829 −0.0337044
\(299\) 11.2593 12.2038i 0.651144 0.705764i
\(300\) 7.55642 + 4.23090i 0.436270 + 0.244271i
\(301\) 3.23824 + 22.5225i 0.186649 + 1.29817i
\(302\) −6.29936 + 13.7937i −0.362488 + 0.793737i
\(303\) 19.2200 + 2.33237i 1.10416 + 0.133991i
\(304\) 5.92796 + 5.13661i 0.339992 + 0.294605i
\(305\) 11.4192 5.48475i 0.653864 0.314056i
\(306\) 3.71147 15.0671i 0.212171 0.861328i
\(307\) −13.6752 + 6.24526i −0.780485 + 0.356436i −0.765486 0.643452i \(-0.777502\pi\)
−0.0149985 + 0.999888i \(0.504774\pi\)
\(308\) −0.441506 0.509525i −0.0251571 0.0290329i
\(309\) 7.92189 5.34137i 0.450660 0.303860i
\(310\) −1.20326 + 0.806642i −0.0683405 + 0.0458142i
\(311\) −16.8037 2.41601i −0.952850 0.136999i −0.351680 0.936120i \(-0.614390\pi\)
−0.601170 + 0.799121i \(0.705299\pi\)
\(312\) −3.35250 4.97215i −0.189798 0.281493i
\(313\) −14.7100 16.9763i −0.831461 0.959557i 0.168196 0.985754i \(-0.446206\pi\)
−0.999657 + 0.0261966i \(0.991660\pi\)
\(314\) 2.40334 + 5.26258i 0.135628 + 0.296985i
\(315\) 7.37392 + 13.7634i 0.415474 + 0.775479i
\(316\) −3.07222 + 10.4630i −0.172826 + 0.588591i
\(317\) 11.3013 13.0424i 0.634747 0.732537i −0.343690 0.939083i \(-0.611677\pi\)
0.978437 + 0.206547i \(0.0662225\pi\)
\(318\) 18.1790 + 2.20604i 1.01943 + 0.123709i
\(319\) 1.20616 + 0.550833i 0.0675318 + 0.0308407i
\(320\) −1.43131 + 1.71795i −0.0800124 + 0.0960365i
\(321\) −17.1248 7.36899i −0.955814 0.411297i
\(322\) −5.73957 9.57439i −0.319854 0.533560i
\(323\) 40.5721 2.25749
\(324\) 8.96505 0.792377i 0.498058 0.0440210i
\(325\) 8.78809 14.9147i 0.487476 0.827320i
\(326\) −0.191256 0.651359i −0.0105927 0.0360755i
\(327\) 11.6353 5.62679i 0.643435 0.311162i
\(328\) 2.24681 7.65192i 0.124059 0.422506i
\(329\) −24.5536 + 15.7796i −1.35368 + 0.869959i
\(330\) −0.769094 0.816666i −0.0423373 0.0449560i
\(331\) 1.03376 + 1.19302i 0.0568204 + 0.0655743i 0.783448 0.621457i \(-0.213459\pi\)
−0.726628 + 0.687031i \(0.758914\pi\)
\(332\) −3.72843 + 5.80155i −0.204624 + 0.318401i
\(333\) 22.6898 16.0372i 1.24340 0.878835i
\(334\) −1.21116 + 8.42381i −0.0662718 + 0.460930i
\(335\) 3.77303 + 23.0615i 0.206143 + 1.25999i
\(336\) −3.84231 + 1.22080i −0.209615 + 0.0666001i
\(337\) −2.09756 4.59302i −0.114261 0.250198i 0.843858 0.536567i \(-0.180279\pi\)
−0.958119 + 0.286369i \(0.907552\pi\)
\(338\) 0.852028 0.547565i 0.0463442 0.0297836i
\(339\) 4.68589 + 3.88289i 0.254502 + 0.210890i
\(340\) 0.224029 + 11.5639i 0.0121497 + 0.627139i
\(341\) 0.180046 0.0528663i 0.00975005 0.00286287i
\(342\) 7.61802 + 22.2642i 0.411935 + 1.20391i
\(343\) 2.84288 + 19.7727i 0.153501 + 1.06763i
\(344\) −9.77560 −0.527065
\(345\) −10.2015 15.5219i −0.549228 0.835673i
\(346\) 21.6051 1.16150
\(347\) 3.28092 + 22.8193i 0.176129 + 1.22500i 0.865617 + 0.500706i \(0.166926\pi\)
−0.689488 + 0.724297i \(0.742165\pi\)
\(348\) 5.87656 5.32328i 0.315017 0.285358i
\(349\) −7.33573 + 2.15396i −0.392673 + 0.115299i −0.472107 0.881541i \(-0.656507\pi\)
0.0794349 + 0.996840i \(0.474688\pi\)
\(350\) −7.95634 8.49377i −0.425284 0.454011i
\(351\) −1.18860 17.9511i −0.0634430 0.958158i
\(352\) 0.243668 0.156596i 0.0129876 0.00834660i
\(353\) −2.15627 4.72158i −0.114767 0.251304i 0.843528 0.537085i \(-0.180474\pi\)
−0.958295 + 0.285780i \(0.907747\pi\)
\(354\) 1.00520 + 3.16372i 0.0534255 + 0.168150i
\(355\) 18.4148 3.01280i 0.977357 0.159903i
\(356\) 0.944581 6.56971i 0.0500627 0.348194i
\(357\) −10.8848 + 17.7871i −0.576087 + 0.941395i
\(358\) 7.82565 12.1770i 0.413599 0.643572i
\(359\) −1.01414 1.17038i −0.0535243 0.0617704i 0.728356 0.685199i \(-0.240285\pi\)
−0.781880 + 0.623428i \(0.785739\pi\)
\(360\) −6.30369 + 2.29423i −0.332234 + 0.120916i
\(361\) −35.7747 + 22.9910i −1.88288 + 1.21005i
\(362\) 3.34687 11.3984i 0.175908 0.599086i
\(363\) −8.23146 17.0214i −0.432039 0.893390i
\(364\) 2.27045 + 7.73243i 0.119004 + 0.405289i
\(365\) 9.37895 + 29.7943i 0.490916 + 1.55950i
\(366\) −2.55640 + 9.47385i −0.133625 + 0.495206i
\(367\) −8.16857 −0.426396 −0.213198 0.977009i \(-0.568388\pi\)
−0.213198 + 0.977009i \(0.568388\pi\)
\(368\) 4.42241 1.85534i 0.230534 0.0967165i
\(369\) 17.3733 16.4490i 0.904417 0.856299i
\(370\) −13.2564 + 15.9113i −0.689168 + 0.827188i
\(371\) −22.3854 10.2231i −1.16219 0.530756i
\(372\) 0.135176 1.11393i 0.00700855 0.0577543i
\(373\) −20.2345 + 23.3518i −1.04770 + 1.20911i −0.0703436 + 0.997523i \(0.522410\pi\)
−0.977359 + 0.211590i \(0.932136\pi\)
\(374\) 0.422094 1.43752i 0.0218259 0.0743324i
\(375\) −13.8124 13.5727i −0.713268 0.700892i
\(376\) −5.20900 11.4061i −0.268634 0.588226i
\(377\) −10.3794 11.9785i −0.534568 0.616924i
\(378\) −11.8046 2.63332i −0.607164 0.135444i
\(379\) 12.9173 + 1.85723i 0.663518 + 0.0953995i 0.465842 0.884868i \(-0.345752\pi\)
0.197676 + 0.980267i \(0.436661\pi\)
\(380\) −9.76649 14.5686i −0.501010 0.747352i
\(381\) 13.9637 + 20.7098i 0.715380 + 1.06099i
\(382\) 0.756940 + 0.873556i 0.0387284 + 0.0446950i
\(383\) 4.43983 2.02760i 0.226865 0.103606i −0.298740 0.954335i \(-0.596566\pi\)
0.525605 + 0.850729i \(0.323839\pi\)
\(384\) −0.284218 1.70857i −0.0145039 0.0871902i
\(385\) 0.652705 + 1.35893i 0.0332649 + 0.0692575i
\(386\) −1.48280 1.28486i −0.0754727 0.0653975i
\(387\) −25.3460 14.7528i −1.28841 0.749925i
\(388\) −6.84215 + 14.9822i −0.347357 + 0.760607i
\(389\) −2.14029 14.8861i −0.108517 0.754754i −0.969318 0.245811i \(-0.920946\pi\)
0.860801 0.508942i \(-0.169963\pi\)
\(390\) 4.30721 + 12.6987i 0.218104 + 0.643021i
\(391\) 11.0031 22.2326i 0.556452 1.12435i
\(392\) −1.58210 −0.0799082
\(393\) 3.47967 12.8954i 0.175526 0.650487i
\(394\) 1.52982 3.34984i 0.0770712 0.168762i
\(395\) 12.7830 20.7644i 0.643184 1.04477i
\(396\) 0.868103 0.0382891i 0.0436238 0.00192410i
\(397\) 5.23204 17.8187i 0.262589 0.894294i −0.717638 0.696416i \(-0.754777\pi\)
0.980227 0.197878i \(-0.0634050\pi\)
\(398\) 6.38483 + 9.93499i 0.320043 + 0.497996i
\(399\) −0.696884 31.6154i −0.0348878 1.58275i
\(400\) 4.09841 2.86409i 0.204921 0.143205i
\(401\) 1.78186 + 1.14513i 0.0889820 + 0.0571852i 0.584375 0.811484i \(-0.301340\pi\)
−0.495393 + 0.868669i \(0.664976\pi\)
\(402\) −15.4394 9.44813i −0.770047 0.471230i
\(403\) −2.22017 0.319212i −0.110594 0.0159011i
\(404\) 6.04332 9.40359i 0.300666 0.467846i
\(405\) −19.8064 3.56473i −0.984187 0.177133i
\(406\) −9.69275 + 4.42653i −0.481043 + 0.219685i
\(407\) 2.25680 1.45036i 0.111865 0.0718915i
\(408\) −6.89842 5.71627i −0.341523 0.282998i
\(409\) −5.82459 + 6.72194i −0.288008 + 0.332378i −0.881254 0.472642i \(-0.843300\pi\)
0.593247 + 0.805021i \(0.297846\pi\)
\(410\) −9.34862 + 15.1856i −0.461695 + 0.749964i
\(411\) −12.3624 + 11.1984i −0.609790 + 0.552378i
\(412\) −0.785042 5.46009i −0.0386763 0.268999i
\(413\) 4.46105i 0.219514i
\(414\) 14.2663 + 1.86354i 0.701150 + 0.0915881i
\(415\) 11.4563 10.3222i 0.562370 0.506697i
\(416\) −3.42701 + 0.492730i −0.168023 + 0.0241581i
\(417\) −1.41206 1.55883i −0.0691489 0.0763360i
\(418\) 0.640084 + 2.17992i 0.0313075 + 0.106624i
\(419\) −6.35621 + 7.33546i −0.310521 + 0.358361i −0.889462 0.457009i \(-0.848921\pi\)
0.578941 + 0.815370i \(0.303466\pi\)
\(420\) 9.00717 0.373199i 0.439505 0.0182102i
\(421\) −14.2908 22.2369i −0.696491 1.08376i −0.991730 0.128338i \(-0.959036\pi\)
0.295239 0.955423i \(-0.404601\pi\)
\(422\) 0.403752 + 0.884094i 0.0196543 + 0.0430370i
\(423\) 3.70766 37.4347i 0.180273 1.82014i
\(424\) 5.71601 8.89428i 0.277594 0.431944i
\(425\) 6.31970 25.0784i 0.306551 1.21648i
\(426\) −7.54440 + 12.3285i −0.365528 + 0.597316i
\(427\) 7.12938 11.0935i 0.345015 0.536854i
\(428\) −8.13454 + 7.04862i −0.393198 + 0.340708i
\(429\) −0.0382779 1.73655i −0.00184808 0.0838412i
\(430\) 21.0888 + 5.75096i 1.01699 + 0.277336i
\(431\) −24.4936 7.19196i −1.17981 0.346424i −0.367711 0.929940i \(-0.619858\pi\)
−0.812102 + 0.583516i \(0.801677\pi\)
\(432\) 1.84156 4.85887i 0.0886023 0.233773i
\(433\) 29.4446 8.64570i 1.41502 0.415486i 0.517202 0.855863i \(-0.326973\pi\)
0.897813 + 0.440377i \(0.145155\pi\)
\(434\) −0.626423 + 1.37167i −0.0300693 + 0.0658425i
\(435\) −15.8091 + 8.02670i −0.757990 + 0.384851i
\(436\) 7.46194i 0.357362i
\(437\) 4.19059 + 37.3835i 0.200463 + 1.78829i
\(438\) −22.2247 9.56351i −1.06194 0.456962i
\(439\) −2.41184 16.7747i −0.115111 0.800613i −0.962818 0.270149i \(-0.912927\pi\)
0.847708 0.530464i \(-0.177982\pi\)
\(440\) −0.617789 + 0.194474i −0.0294519 + 0.00927118i
\(441\) −4.10204 2.38761i −0.195335 0.113696i
\(442\) −11.7276 + 13.5343i −0.557823 + 0.643762i
\(443\) −6.19490 1.81899i −0.294329 0.0864227i 0.131235 0.991351i \(-0.458106\pi\)
−0.425563 + 0.904929i \(0.639924\pi\)
\(444\) −2.63236 15.8244i −0.124926 0.750992i
\(445\) −5.90268 + 13.6171i −0.279814 + 0.645511i
\(446\) 0.231580 0.200666i 0.0109657 0.00950179i
\(447\) −0.835567 + 0.563385i −0.0395210 + 0.0266472i
\(448\) −0.331257 + 2.30395i −0.0156504 + 0.108851i
\(449\) 35.3019 + 5.07565i 1.66600 + 0.239535i 0.909872 0.414890i \(-0.136180\pi\)
0.756128 + 0.654424i \(0.227089\pi\)
\(450\) 14.9486 1.24087i 0.704683 0.0584954i
\(451\) 1.74574 1.51269i 0.0822035 0.0712297i
\(452\) 3.19601 1.45957i 0.150327 0.0686523i
\(453\) 4.30989 + 25.9088i 0.202496 + 1.21730i
\(454\) −0.151139 + 0.514733i −0.00709331 + 0.0241576i
\(455\) −0.349043 18.0168i −0.0163634 0.844641i
\(456\) 13.4869 + 1.63666i 0.631584 + 0.0766435i
\(457\) 0.0701152 0.153531i 0.00327985 0.00718187i −0.907985 0.419003i \(-0.862380\pi\)
0.911265 + 0.411821i \(0.135107\pi\)
\(458\) 22.8456 3.28470i 1.06750 0.153484i
\(459\) −9.25940 25.2317i −0.432192 1.17772i
\(460\) −10.6319 + 1.40083i −0.495716 + 0.0653138i
\(461\) 1.81631i 0.0845939i −0.999105 0.0422969i \(-0.986532\pi\)
0.999105 0.0422969i \(-0.0134676\pi\)
\(462\) −1.12742 0.304221i −0.0524524 0.0141536i
\(463\) −8.51144 3.88705i −0.395560 0.180646i 0.207697 0.978193i \(-0.433403\pi\)
−0.603257 + 0.797547i \(0.706131\pi\)
\(464\) −1.28974 4.39246i −0.0598748 0.203915i
\(465\) −0.946934 + 2.32354i −0.0439130 + 0.107751i
\(466\) 9.52995 + 2.79824i 0.441466 + 0.129626i
\(467\) 5.99394 + 9.32675i 0.277366 + 0.431590i 0.951788 0.306756i \(-0.0992435\pi\)
−0.674422 + 0.738346i \(0.735607\pi\)
\(468\) −9.62908 3.89430i −0.445104 0.180014i
\(469\) 15.9296 + 18.3837i 0.735558 + 0.848880i
\(470\) 4.52714 + 27.6708i 0.208821 + 1.27636i
\(471\) 8.54720 + 5.23046i 0.393834 + 0.241007i
\(472\) 1.89705 + 0.272754i 0.0873187 + 0.0125545i
\(473\) −2.38200 1.53082i −0.109525 0.0703872i
\(474\) 5.71931 + 18.0008i 0.262697 + 0.826804i
\(475\) 12.4985 + 37.1742i 0.573470 + 1.70567i
\(476\) 6.50915 + 10.1284i 0.298346 + 0.464236i
\(477\) 28.2431 14.4346i 1.29316 0.660916i
\(478\) −5.12101 4.43738i −0.234229 0.202961i
\(479\) 6.75943 1.98475i 0.308846 0.0906855i −0.123637 0.992328i \(-0.539456\pi\)
0.432483 + 0.901642i \(0.357638\pi\)
\(480\) −0.392009 + 3.85309i −0.0178927 + 0.175869i
\(481\) −31.7402 + 4.56355i −1.44723 + 0.208080i
\(482\) 20.6763i 0.941780i
\(483\) −17.5135 8.19220i −0.796892 0.372758i
\(484\) −10.9161 −0.496187
\(485\) 23.5745 28.2958i 1.07046 1.28485i
\(486\) 12.1075 9.81880i 0.549207 0.445390i
\(487\) 7.79785 + 26.5570i 0.353354 + 1.20341i 0.924056 + 0.382257i \(0.124853\pi\)
−0.570702 + 0.821157i \(0.693329\pi\)
\(488\) 4.28160 + 3.71002i 0.193819 + 0.167945i
\(489\) −0.905376 0.750226i −0.0409425 0.0339264i
\(490\) 3.41305 + 0.930747i 0.154186 + 0.0420469i
\(491\) −30.1714 + 13.7788i −1.36162 + 0.621830i −0.956311 0.292350i \(-0.905563\pi\)
−0.405307 + 0.914181i \(0.632835\pi\)
\(492\) −4.18271 13.1645i −0.188571 0.593503i
\(493\) −19.9201 12.8019i −0.897158 0.576568i
\(494\) 3.86488 26.8809i 0.173889 1.20943i
\(495\) −1.89528 0.428103i −0.0851864 0.0192418i
\(496\) −0.545000 0.350250i −0.0244712 0.0157267i
\(497\) 14.6795 12.7199i 0.658466 0.570564i
\(498\) 0.263230 + 11.9419i 0.0117956 + 0.535128i
\(499\) −3.71790 + 2.38935i −0.166436 + 0.106962i −0.621207 0.783646i \(-0.713357\pi\)
0.454771 + 0.890608i \(0.349721\pi\)
\(500\) −10.5264 + 3.76760i −0.470755 + 0.168492i
\(501\) 6.41742 + 13.2702i 0.286709 + 0.592870i
\(502\) 15.4944 4.54957i 0.691550 0.203057i
\(503\) −34.8360 15.9091i −1.55326 0.709351i −0.560356 0.828252i \(-0.689336\pi\)
−0.992906 + 0.118901i \(0.962063\pi\)
\(504\) −4.33586 + 5.47370i −0.193134 + 0.243818i
\(505\) −18.5693 + 16.7310i −0.826323 + 0.744520i
\(506\) 1.36814 + 0.240443i 0.0608213 + 0.0106890i
\(507\) 0.693393 1.61138i 0.0307947 0.0715638i
\(508\) 14.2740 2.05229i 0.633307 0.0910558i
\(509\) 2.13431 + 0.974707i 0.0946016 + 0.0432031i 0.462154 0.886800i \(-0.347077\pi\)
−0.367552 + 0.930003i \(0.619804\pi\)
\(510\) 11.5190 + 16.3900i 0.510071 + 0.725761i
\(511\) 24.5730 + 21.2926i 1.08705 + 0.941930i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 32.4987 + 24.5972i 1.43485 + 1.08599i
\(514\) 2.37623 + 5.20321i 0.104811 + 0.229504i
\(515\) −1.51859 + 12.2408i −0.0669172 + 0.539396i
\(516\) −14.0388 + 9.46572i −0.618023 + 0.416705i
\(517\) 0.516886 3.59502i 0.0227326 0.158109i
\(518\) −3.06803 + 21.3386i −0.134801 + 0.937564i
\(519\) 31.0272 20.9203i 1.36194 0.918297i
\(520\) 7.68293 + 0.953141i 0.336919 + 0.0417980i
\(521\) −4.32212 9.46411i −0.189355 0.414630i 0.791015 0.611797i \(-0.209553\pi\)
−0.980370 + 0.197167i \(0.936826\pi\)
\(522\) 3.28482 13.3351i 0.143773 0.583660i
\(523\) −1.35802 0.398750i −0.0593819 0.0174361i 0.251907 0.967752i \(-0.418942\pi\)
−0.311289 + 0.950315i \(0.600761\pi\)
\(524\) −5.82793 5.04993i −0.254594 0.220607i
\(525\) −19.6507 4.49380i −0.857625 0.196126i
\(526\) −12.7747 5.83403i −0.557005 0.254376i
\(527\) −3.31685 + 0.476892i −0.144484 + 0.0207737i
\(528\) 0.198301 0.460832i 0.00862994 0.0200552i
\(529\) 21.6218 + 7.84204i 0.940078 + 0.340958i
\(530\) −17.5636 + 15.8248i −0.762913 + 0.687387i
\(531\) 4.50700 + 3.57010i 0.195587 + 0.154929i
\(532\) −16.6077 7.58447i −0.720034 0.328828i
\(533\) −26.4929 + 7.77901i −1.14753 + 0.336946i
\(534\) −5.00493 10.3494i −0.216585 0.447863i
\(535\) 21.6953 10.4204i 0.937968 0.450513i
\(536\) −8.79156 + 5.64999i −0.379738 + 0.244043i
\(537\) −0.552496 25.0650i −0.0238420 1.08163i
\(538\) 3.04806 2.64116i 0.131411 0.113869i
\(539\) −0.385508 0.247751i −0.0166050 0.0106714i
\(540\) −6.83125 + 9.39862i −0.293970 + 0.404452i
\(541\) 6.44354 44.8158i 0.277029 1.92678i −0.0886969 0.996059i \(-0.528270\pi\)
0.365726 0.930722i \(-0.380821\pi\)
\(542\) −5.40209 3.47171i −0.232040 0.149123i
\(543\) −6.23061 19.6100i −0.267381 0.841547i
\(544\) −4.70506 + 2.14873i −0.201728 + 0.0921260i
\(545\) −4.38984 + 16.0976i −0.188040 + 0.689545i
\(546\) 10.7479 + 8.90610i 0.459968 + 0.381146i
\(547\) 33.6774 + 29.1816i 1.43994 + 1.24772i 0.919078 + 0.394076i \(0.128935\pi\)
0.520863 + 0.853640i \(0.325610\pi\)
\(548\) 2.71319 + 9.24029i 0.115902 + 0.394726i
\(549\) 5.50228 + 16.0808i 0.234831 + 0.686312i
\(550\) 1.44716 0.0560932i 0.0617071 0.00239182i
\(551\) 35.9082 1.52974
\(552\) 4.55451 6.94669i 0.193853 0.295671i
\(553\) 25.3823i 1.07936i
\(554\) 2.52997 0.363755i 0.107488 0.0154545i
\(555\) −3.63069 + 35.6864i −0.154114 + 1.51480i
\(556\) −1.16515 + 0.342119i −0.0494133 + 0.0145091i
\(557\) 4.09228 + 3.54598i 0.173395 + 0.150248i 0.737235 0.675636i \(-0.236131\pi\)
−0.563840 + 0.825884i \(0.690676\pi\)
\(558\) −0.884487 1.73060i −0.0374433 0.0732623i
\(559\) 18.2983 + 28.4727i 0.773936 + 1.20427i
\(560\) 2.07002 4.77540i 0.0874745 0.201798i
\(561\) −0.785780 2.47314i −0.0331756 0.104416i
\(562\) 12.0639 + 7.75299i 0.508885 + 0.327040i
\(563\) −41.3284 5.94212i −1.74178 0.250431i −0.803256 0.595634i \(-0.796901\pi\)
−0.938528 + 0.345203i \(0.887810\pi\)
\(564\) −18.5252 11.3365i −0.780053 0.477353i
\(565\) −7.75338 + 1.26851i −0.326187 + 0.0533665i
\(566\) 6.34803 + 7.32602i 0.266828 + 0.307936i
\(567\) −19.5025 + 7.64868i −0.819028 + 0.321214i
\(568\) 4.51156 + 7.02013i 0.189301 + 0.294558i
\(569\) 32.6899 + 9.59861i 1.37043 + 0.402395i 0.882428 0.470448i \(-0.155908\pi\)
0.488002 + 0.872842i \(0.337726\pi\)
\(570\) −28.1324 11.4651i −1.17834 0.480220i
\(571\) 4.26062 + 14.5103i 0.178301 + 0.607239i 0.999339 + 0.0363642i \(0.0115776\pi\)
−0.821037 + 0.570875i \(0.806604\pi\)
\(572\) −0.912214 0.416594i −0.0381416 0.0174187i
\(573\) 1.93291 + 0.521571i 0.0807484 + 0.0217889i
\(574\) 18.5628i 0.774797i
\(575\) 23.7602 + 3.23274i 0.990871 + 0.134815i
\(576\) −2.06258 2.17848i −0.0859407 0.0907700i
\(577\) 11.4536 1.64678i 0.476821 0.0685565i 0.100286 0.994959i \(-0.468024\pi\)
0.376536 + 0.926402i \(0.377115\pi\)
\(578\) −4.05223 + 8.87315i −0.168551 + 0.369074i
\(579\) −3.37359 0.409389i −0.140201 0.0170136i
\(580\) 0.198276 + 10.2346i 0.00823297 + 0.424967i
\(581\) 4.52241 15.4019i 0.187621 0.638979i
\(582\) 4.68125 + 28.1413i 0.194044 + 1.16649i
\(583\) 2.78562 1.27215i 0.115369 0.0526871i
\(584\) −10.5571 + 9.14774i −0.436854 + 0.378536i
\(585\) 18.4817 + 14.0659i 0.764125 + 0.581554i
\(586\) 14.6666 + 2.10874i 0.605872 + 0.0871112i
\(587\) −3.14043 + 21.8422i −0.129619 + 0.901522i 0.816417 + 0.577462i \(0.195957\pi\)
−0.946037 + 0.324060i \(0.894952\pi\)
\(588\) −2.27206 + 1.53195i −0.0936983 + 0.0631765i
\(589\) 3.84039 3.32772i 0.158240 0.137116i
\(590\) −3.93202 1.70444i −0.161879 0.0701707i
\(591\) −1.04667 6.29204i −0.0430542 0.258820i
\(592\) −8.88659 2.60934i −0.365237 0.107243i
\(593\) −2.20177 + 2.54098i −0.0904159 + 0.104345i −0.799155 0.601126i \(-0.794719\pi\)
0.708739 + 0.705471i \(0.249265\pi\)
\(594\) 1.20961 0.895572i 0.0496310 0.0367458i
\(595\) −8.08359 25.6793i −0.331395 1.05275i
\(596\) 0.0828029 + 0.575907i 0.00339174 + 0.0235901i
\(597\) 18.7893 + 8.08525i 0.768996 + 0.330907i
\(598\) −13.6820 9.40795i −0.559497 0.384720i
\(599\) 25.5342i 1.04330i 0.853160 + 0.521649i \(0.174683\pi\)
−0.853160 + 0.521649i \(0.825317\pi\)
\(600\) 3.11244 8.08163i 0.127065 0.329931i
\(601\) 3.97349 8.70074i 0.162082 0.354911i −0.811114 0.584889i \(-0.801138\pi\)
0.973196 + 0.229978i \(0.0738655\pi\)
\(602\) 21.8324 6.41056i 0.889821 0.261275i
\(603\) −31.3212 + 1.38147i −1.27550 + 0.0562579i
\(604\) 14.5498 + 4.27220i 0.592022 + 0.173833i
\(605\) 23.5492 + 6.42192i 0.957412 + 0.261088i
\(606\) −0.426662 19.3563i −0.0173320 0.786295i
\(607\) −10.2627 + 8.89265i −0.416549 + 0.360941i −0.837776 0.546014i \(-0.816145\pi\)
0.421228 + 0.906955i \(0.361599\pi\)
\(608\) 4.24069 6.59864i 0.171983 0.267610i
\(609\) −9.63358 + 15.7424i −0.390372 + 0.637916i
\(610\) −7.05405 10.5225i −0.285610 0.426042i
\(611\) −23.4715 + 36.5223i −0.949554 + 1.47753i
\(612\) −15.4419 1.52942i −0.624202 0.0618233i
\(613\) 1.47881 + 3.23815i 0.0597287 + 0.130788i 0.937143 0.348946i \(-0.113460\pi\)
−0.877414 + 0.479734i \(0.840733\pi\)
\(614\) 8.12787 + 12.6472i 0.328014 + 0.510400i
\(615\) 1.27865 + 30.8604i 0.0515603 + 1.24441i
\(616\) −0.441506 + 0.509525i −0.0177888 + 0.0205293i
\(617\) 2.62015 + 8.92341i 0.105483 + 0.359243i 0.995272 0.0971303i \(-0.0309664\pi\)
−0.889788 + 0.456373i \(0.849148\pi\)
\(618\) −6.41441 7.08110i −0.258025 0.284844i
\(619\) −36.3861 + 5.23154i −1.46248 + 0.210273i −0.827157 0.561971i \(-0.810043\pi\)
−0.635326 + 0.772244i \(0.719134\pi\)
\(620\) 0.969673 + 1.07621i 0.0389430 + 0.0432218i
\(621\) 22.2924 11.1378i 0.894561 0.446945i
\(622\) 16.9765i 0.680695i
\(623\) 2.19864 + 15.2919i 0.0880868 + 0.612657i
\(624\) −4.44443 + 4.02599i −0.177920 + 0.161168i
\(625\) 24.9250 1.93514i 0.997000 0.0774056i
\(626\) −14.7100 + 16.9763i −0.587932 + 0.678509i
\(627\) 3.03005 + 2.51081i 0.121008 + 0.100272i
\(628\) 4.86698 3.12782i 0.194214 0.124814i
\(629\) −43.5772 + 19.9010i −1.73754 + 0.793506i
\(630\) 12.5739 9.25760i 0.500955 0.368832i
\(631\) 9.49427 14.7734i 0.377961 0.588118i −0.599205 0.800595i \(-0.704517\pi\)
0.977166 + 0.212477i \(0.0681531\pi\)
\(632\) 10.7937 + 1.55191i 0.429352 + 0.0617315i
\(633\) 1.43590 + 0.878697i 0.0570718 + 0.0349251i
\(634\) −14.5180 9.33018i −0.576585 0.370549i
\(635\) −32.0006 3.96998i −1.26990 0.157544i
\(636\) −0.403554 18.3079i −0.0160019 0.725956i
\(637\) 2.96143 + 4.60808i 0.117336 + 0.182579i
\(638\) 0.373573 1.27227i 0.0147899 0.0503697i
\(639\) 1.10312 + 25.0102i 0.0436386 + 0.989389i
\(640\) 1.90416 + 1.17225i 0.0752687 + 0.0463371i
\(641\) −0.660736 + 1.44681i −0.0260975 + 0.0571456i −0.922232 0.386637i \(-0.873637\pi\)
0.896134 + 0.443783i \(0.146364\pi\)
\(642\) −4.85687 + 17.9992i −0.191685 + 0.710373i
\(643\) 4.40482 0.173709 0.0868546 0.996221i \(-0.472318\pi\)
0.0868546 + 0.996221i \(0.472318\pi\)
\(644\) −8.66011 + 7.04373i −0.341256 + 0.277562i
\(645\) 35.8544 12.1613i 1.41177 0.478852i
\(646\) −5.77401 40.1591i −0.227175 1.58004i
\(647\) 9.53864 20.8867i 0.375003 0.821142i −0.624202 0.781263i \(-0.714576\pi\)
0.999205 0.0398784i \(-0.0126970\pi\)
\(648\) −2.06017 8.76103i −0.0809312 0.344166i
\(649\) 0.419538 + 0.363532i 0.0164683 + 0.0142699i
\(650\) −16.0136 6.57606i −0.628105 0.257934i
\(651\) 0.428585 + 2.57643i 0.0167976 + 0.100978i
\(652\) −0.617511 + 0.282008i −0.0241836 + 0.0110443i
\(653\) 2.25208 + 2.59904i 0.0881307 + 0.101708i 0.798102 0.602522i \(-0.205838\pi\)
−0.709971 + 0.704231i \(0.751292\pi\)
\(654\) −7.22540 10.7161i −0.282536 0.419034i
\(655\) 9.60168 + 14.3227i 0.375169 + 0.559635i
\(656\) −7.89378 1.13495i −0.308200 0.0443125i
\(657\) −41.1773 + 7.78597i −1.60648 + 0.303760i
\(658\) 19.1134 + 22.0580i 0.745116 + 0.859910i
\(659\) 8.88848 + 19.4631i 0.346246 + 0.758173i 0.999999 + 0.00146518i \(0.000466381\pi\)
−0.653753 + 0.756708i \(0.726806\pi\)
\(660\) −0.698900 + 0.877490i −0.0272046 + 0.0341562i
\(661\) −1.46242 + 4.98055i −0.0568816 + 0.193721i −0.983032 0.183433i \(-0.941279\pi\)
0.926151 + 0.377154i \(0.123097\pi\)
\(662\) 1.03376 1.19302i 0.0401781 0.0463680i
\(663\) −3.73670 + 30.7925i −0.145121 + 1.19588i
\(664\) 6.27311 + 2.86483i 0.243444 + 0.111177i
\(665\) 31.3657 + 26.1322i 1.21631 + 1.01336i
\(666\) −19.1031 20.1766i −0.740230 0.781826i
\(667\) 9.73828 19.6769i 0.377068 0.761892i
\(668\) 8.51043 0.329279
\(669\) 0.138269 0.512416i 0.00534579 0.0198111i
\(670\) 22.2898 7.01663i 0.861132 0.271076i
\(671\) 0.462314 + 1.57450i 0.0178474 + 0.0607828i
\(672\) 1.75519 + 3.62946i 0.0677080 + 0.140010i
\(673\) 11.3638 38.7016i 0.438042 1.49184i −0.384496 0.923127i \(-0.625625\pi\)
0.822539 0.568709i \(-0.192557\pi\)
\(674\) −4.24776 + 2.72987i −0.163617 + 0.105151i
\(675\) 20.2662 16.2567i 0.780046 0.625722i
\(676\) −0.663248 0.765429i −0.0255095 0.0294396i
\(677\) −2.18258 + 3.39617i −0.0838835 + 0.130525i −0.880660 0.473749i \(-0.842900\pi\)
0.796776 + 0.604274i \(0.206537\pi\)
\(678\) 3.17650 5.19078i 0.121993 0.199351i
\(679\) 5.45602 37.9474i 0.209383 1.45629i
\(680\) 11.4143 1.86746i 0.437718 0.0716138i
\(681\) 0.281364 + 0.885558i 0.0107819 + 0.0339346i
\(682\) −0.0779515 0.170690i −0.00298492 0.00653605i
\(683\) −23.9381 + 15.3841i −0.915964 + 0.588654i −0.911484 0.411336i \(-0.865062\pi\)
−0.00448020 + 0.999990i \(0.501426\pi\)
\(684\) 20.9534 10.7090i 0.801175 0.409469i
\(685\) −0.417108 21.5302i −0.0159369 0.822625i
\(686\) 19.1669 5.62790i 0.731794 0.214874i
\(687\) 29.6280 26.8385i 1.13038 1.02395i
\(688\) 1.39121 + 9.67610i 0.0530395 + 0.368898i
\(689\) −36.6052 −1.39455
\(690\) −13.9121 + 12.3066i −0.529625 + 0.468505i
\(691\) −3.78308 −0.143915 −0.0719576 0.997408i \(-0.522925\pi\)
−0.0719576 + 0.997408i \(0.522925\pi\)
\(692\) −3.07473 21.3852i −0.116884 0.812944i
\(693\) −1.91367 + 0.654790i −0.0726944 + 0.0248734i
\(694\) 22.1201 6.49504i 0.839667 0.246549i
\(695\) 2.71483 0.0525950i 0.102980 0.00199504i
\(696\) −6.10542 5.05917i −0.231425 0.191767i
\(697\) −34.7020 + 22.3016i −1.31443 + 0.844735i
\(698\) 3.17602 + 6.95452i 0.120214 + 0.263232i
\(699\) 16.3955 5.20928i 0.620136 0.197033i
\(700\) −7.27501 + 9.08415i −0.274969 + 0.343349i
\(701\) −2.88505 + 20.0659i −0.108967 + 0.757880i 0.859930 + 0.510413i \(0.170507\pi\)
−0.968896 + 0.247467i \(0.920402\pi\)
\(702\) −17.5992 + 3.73121i −0.664239 + 0.140826i
\(703\) 39.2762 61.1150i 1.48133 2.30500i
\(704\) −0.189680 0.218902i −0.00714883 0.00825019i
\(705\) 33.2951 + 35.3545i 1.25396 + 1.33153i
\(706\) −4.36665 + 2.80628i −0.164341 + 0.105616i
\(707\) −7.33026 + 24.9646i −0.275683 + 0.938889i
\(708\) 2.98847 1.44521i 0.112313 0.0543143i
\(709\) 3.37706 + 11.5012i 0.126828 + 0.431937i 0.998285 0.0585346i \(-0.0186428\pi\)
−0.871457 + 0.490471i \(0.836825\pi\)
\(710\) −5.60283 17.7986i −0.210270 0.667970i
\(711\) 25.6437 + 20.3130i 0.961714 + 0.761798i
\(712\) −6.63727 −0.248742
\(713\) −0.782002 3.00692i −0.0292862 0.112610i
\(714\) 19.1552 + 8.24267i 0.716864 + 0.308474i
\(715\) 1.72283 + 1.43537i 0.0644302 + 0.0536797i
\(716\) −13.1667 6.01304i −0.492063 0.224718i
\(717\) −11.6510 1.41386i −0.435115 0.0528017i
\(718\) −1.01414 + 1.17038i −0.0378474 + 0.0436783i
\(719\) 13.6120 46.3584i 0.507643 1.72887i −0.162561 0.986698i \(-0.551975\pi\)
0.670205 0.742176i \(-0.266206\pi\)
\(720\) 3.16799 + 5.91303i 0.118064 + 0.220365i
\(721\) 5.33385 + 11.6795i 0.198643 + 0.434967i
\(722\) 27.8483 + 32.1386i 1.03640 + 1.19608i
\(723\) −20.0209 29.6933i −0.744584 1.10431i
\(724\) −11.7587 1.69064i −0.437008 0.0628322i
\(725\) 5.59323 22.1956i 0.207727 0.824323i
\(726\) −15.6767 + 10.5701i −0.581815 + 0.392292i
\(727\) −22.3926 25.8425i −0.830497 0.958445i 0.169134 0.985593i \(-0.445903\pi\)
−0.999631 + 0.0271481i \(0.991357\pi\)
\(728\) 7.33061 3.34778i 0.271690 0.124077i
\(729\) 7.88007 25.8245i 0.291854 0.956463i
\(730\) 28.1562 13.5236i 1.04211 0.500533i
\(731\) 38.2139 + 33.1125i 1.41339 + 1.22471i
\(732\) 9.74123 + 1.18211i 0.360046 + 0.0436920i
\(733\) 9.96858 21.8281i 0.368198 0.806241i −0.631330 0.775514i \(-0.717491\pi\)
0.999528 0.0307263i \(-0.00978204\pi\)
\(734\) 1.16251 + 8.08542i 0.0429090 + 0.298438i
\(735\) 5.80274 1.96821i 0.214037 0.0725986i
\(736\) −2.46583 4.11335i −0.0908919 0.151620i
\(737\) −3.02699 −0.111501
\(738\) −18.7540 14.8555i −0.690345 0.546839i
\(739\) 9.71581 21.2746i 0.357402 0.782600i −0.642466 0.766314i \(-0.722088\pi\)
0.999867 0.0162861i \(-0.00518424\pi\)
\(740\) 17.6359 + 10.8571i 0.648309 + 0.399114i
\(741\) −20.4784 42.3461i −0.752292 1.55562i
\(742\) −6.93324 + 23.6125i −0.254527 + 0.866840i
\(743\) 9.42972 + 14.6729i 0.345943 + 0.538298i 0.970007 0.243075i \(-0.0781561\pi\)
−0.624064 + 0.781373i \(0.714520\pi\)
\(744\) −1.12182 + 0.0247279i −0.0411281 + 0.000906569i
\(745\) 0.160175 1.29111i 0.00586835 0.0473027i
\(746\) 25.9938 + 16.7052i 0.951702 + 0.611621i
\(747\) 11.9413 + 16.8949i 0.436911 + 0.618151i
\(748\) −1.48296 0.213217i −0.0542223 0.00779599i
\(749\) 13.5450 21.0765i 0.494924 0.770117i
\(750\) −11.4689 + 15.6034i −0.418783 + 0.569755i
\(751\) −21.6229 + 9.87483i −0.789029 + 0.360337i −0.768826 0.639458i \(-0.779159\pi\)
−0.0202033 + 0.999796i \(0.506431\pi\)
\(752\) −10.5487 + 6.77924i −0.384672 + 0.247214i
\(753\) 17.8462 21.5369i 0.650353 0.784849i
\(754\) −10.3794 + 11.9785i −0.377996 + 0.436231i
\(755\) −28.8748 17.7760i −1.05086 0.646934i
\(756\) −0.926550 + 12.0592i −0.0336983 + 0.438590i
\(757\) 3.69387 + 25.6914i 0.134256 + 0.933771i 0.939919 + 0.341397i \(0.110900\pi\)
−0.805663 + 0.592374i \(0.798191\pi\)
\(758\) 13.0501i 0.474003i
\(759\) 2.19761 0.979469i 0.0797683 0.0355525i
\(760\) −13.0304 + 11.7404i −0.472661 + 0.425869i
\(761\) −3.29333 + 0.473509i −0.119383 + 0.0171647i −0.201747 0.979438i \(-0.564662\pi\)
0.0823643 + 0.996602i \(0.473753\pi\)
\(762\) 18.5117 16.7688i 0.670609 0.607471i
\(763\) 4.89333 + 16.6651i 0.177150 + 0.603319i
\(764\) 0.756940 0.873556i 0.0273851 0.0316041i
\(765\) 32.4130 + 12.3839i 1.17189 + 0.447739i
\(766\) −2.63882 4.10608i −0.0953445 0.148359i
\(767\) −2.75653 6.03595i −0.0995324 0.217946i
\(768\) −1.65073 + 0.524480i −0.0595657 + 0.0189255i
\(769\) −26.7378 + 41.6048i −0.964189 + 1.50031i −0.101336 + 0.994852i \(0.532312\pi\)
−0.862853 + 0.505455i \(0.831325\pi\)
\(770\) 1.25221 0.839457i 0.0451265 0.0302519i
\(771\) 8.45078 + 5.17145i 0.304347 + 0.186245i
\(772\) −1.06075 + 1.65056i −0.0381774 + 0.0594051i
\(773\) −13.7681 + 11.9301i −0.495204 + 0.429097i −0.866320 0.499490i \(-0.833521\pi\)
0.371115 + 0.928587i \(0.378975\pi\)