Properties

Label 690.2.w.b.37.3
Level $690$
Weight $2$
Character 690.37
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.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 37.3
Character \(\chi\) \(=\) 690.37
Dual form 690.2.w.b.373.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.877679 - 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(0.217321 - 2.22548i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(0.154967 + 0.415484i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +O(q^{10})\) \(q+(-0.877679 - 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(0.217321 - 2.22548i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(0.154967 + 0.415484i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +(-1.25730 + 1.84911i) q^{10} +(0.217319 - 0.740121i) q^{11} +(0.479249 + 0.877679i) q^{12} +(4.23690 + 1.58028i) q^{13} +(0.0631085 - 0.438929i) q^{14} +(0.375531 - 2.20431i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(-1.50898 + 0.328258i) q^{17} +(-0.800541 - 0.599278i) q^{18} +(3.34480 - 2.14957i) q^{19} +(1.98969 - 1.02036i) q^{20} +(0.124932 + 0.425480i) q^{21} +(-0.545439 + 0.545439i) q^{22} +(0.698428 - 4.74470i) q^{23} -1.00000i q^{24} +(-4.90554 - 0.967288i) q^{25} +(-2.96129 - 3.41751i) q^{26} +(0.977147 + 0.212565i) q^{27} +(-0.265746 + 0.354994i) q^{28} +(1.04783 - 1.63045i) q^{29} +(-1.38601 + 1.75470i) q^{30} +(0.0423632 - 0.0488897i) q^{31} +(0.800541 - 0.599278i) q^{32} +(0.269565 - 0.722732i) q^{33} +(1.48171 + 0.435070i) q^{34} +(0.958330 - 0.254584i) q^{35} +(0.415415 + 0.909632i) q^{36} +(-1.25044 - 1.67039i) q^{37} +(-3.96584 + 0.283642i) q^{38} +(4.11337 + 1.87851i) q^{39} +(-2.23532 - 0.0580032i) q^{40} +(-0.905161 - 6.29553i) q^{41} +(0.0942606 - 0.433309i) q^{42} +(-0.391721 + 5.47698i) q^{43} +(0.740121 - 0.217319i) q^{44} +(0.531828 - 2.17190i) q^{45} +(-2.88689 + 3.82960i) q^{46} +(2.50355 + 2.50355i) q^{47} +(-0.479249 + 0.877679i) q^{48} +(5.14164 - 4.45525i) q^{49} +(3.84192 + 3.19995i) q^{50} +(-1.52855 + 0.219772i) q^{51} +(0.961223 + 4.41867i) q^{52} +(0.514249 - 0.191805i) q^{53} +(-0.755750 - 0.654861i) q^{54} +(-1.59990 - 0.644484i) q^{55} +(0.403370 - 0.184213i) q^{56} +(3.48963 - 1.90548i) q^{57} +(-1.70105 + 0.928842i) q^{58} +(6.40903 - 2.92691i) q^{59} +(2.05741 - 0.875822i) q^{60} +(-4.00167 - 3.46746i) q^{61} +(-0.0606116 + 0.0226070i) q^{62} +(0.0942606 + 0.433309i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(4.43766 - 9.08572i) q^{65} +(-0.582960 + 0.505138i) q^{66} +(-6.22762 + 11.4050i) q^{67} +(-1.09196 - 1.09196i) q^{68} +(1.03513 - 4.68279i) q^{69} +(-0.963115 - 0.235836i) q^{70} +(4.42946 - 1.30061i) q^{71} +(0.0713392 - 0.997452i) q^{72} +(0.0554481 - 0.254891i) q^{73} +(0.296950 + 2.06534i) q^{74} +(-4.82404 - 1.31478i) q^{75} +(3.61667 + 1.65168i) q^{76} +(0.341186 - 0.0244021i) q^{77} +(-2.70994 - 3.62006i) q^{78} +(-0.951318 - 2.08310i) q^{79} +(1.93409 + 1.12218i) q^{80} +(0.959493 + 0.281733i) q^{81} +(-2.22269 + 5.95926i) q^{82} +(1.14584 - 0.857764i) q^{83} +(-0.290393 + 0.335132i) q^{84} +(0.402599 + 3.42954i) q^{85} +(2.96864 - 4.61930i) q^{86} +(1.16147 - 1.55155i) q^{87} +(-0.753738 - 0.163966i) q^{88} +(0.0940165 + 0.108501i) q^{89} +(-1.50766 + 1.65135i) q^{90} +2.00526i q^{91} +(4.36910 - 1.97762i) q^{92} +(0.0457430 - 0.0457430i) q^{93} +(-0.997489 - 3.39714i) q^{94} +(-4.05694 - 7.91094i) q^{95} +(0.841254 - 0.540641i) q^{96} +(-3.98889 - 2.98604i) q^{97} +(-6.64788 + 1.44616i) q^{98} +(0.320437 - 0.701660i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{21}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 0.479249i −0.620613 0.338880i
\(3\) 0.997452 + 0.0713392i 0.575879 + 0.0411877i
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) 0.217321 2.22548i 0.0971889 0.995266i
\(6\) −0.841254 0.540641i −0.343440 0.220716i
\(7\) 0.154967 + 0.415484i 0.0585722 + 0.157038i 0.962940 0.269716i \(-0.0869298\pi\)
−0.904368 + 0.426754i \(0.859657\pi\)
\(8\) −0.0713392 0.997452i −0.0252222 0.352653i
\(9\) 0.989821 + 0.142315i 0.329940 + 0.0474383i
\(10\) −1.25730 + 1.84911i −0.397593 + 0.584739i
\(11\) 0.217319 0.740121i 0.0655242 0.223155i −0.920221 0.391399i \(-0.871991\pi\)
0.985745 + 0.168244i \(0.0538096\pi\)
\(12\) 0.479249 + 0.877679i 0.138347 + 0.253364i
\(13\) 4.23690 + 1.58028i 1.17510 + 0.438291i 0.859766 0.510688i \(-0.170609\pi\)
0.315338 + 0.948979i \(0.397882\pi\)
\(14\) 0.0631085 0.438929i 0.0168665 0.117309i
\(15\) 0.375531 2.20431i 0.0969618 0.569150i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) −1.50898 + 0.328258i −0.365981 + 0.0796142i −0.391795 0.920053i \(-0.628146\pi\)
0.0258144 + 0.999667i \(0.491782\pi\)
\(18\) −0.800541 0.599278i −0.188689 0.141251i
\(19\) 3.34480 2.14957i 0.767349 0.493146i −0.0974639 0.995239i \(-0.531073\pi\)
0.864813 + 0.502093i \(0.167437\pi\)
\(20\) 1.98969 1.02036i 0.444908 0.228160i
\(21\) 0.124932 + 0.425480i 0.0272625 + 0.0928475i
\(22\) −0.545439 + 0.545439i −0.116288 + 0.116288i
\(23\) 0.698428 4.74470i 0.145632 0.989339i
\(24\) 1.00000i 0.204124i
\(25\) −4.90554 0.967288i −0.981109 0.193458i
\(26\) −2.96129 3.41751i −0.580757 0.670229i
\(27\) 0.977147 + 0.212565i 0.188052 + 0.0409082i
\(28\) −0.265746 + 0.354994i −0.0502212 + 0.0670876i
\(29\) 1.04783 1.63045i 0.194577 0.302767i −0.730232 0.683199i \(-0.760588\pi\)
0.924809 + 0.380432i \(0.124225\pi\)
\(30\) −1.38601 + 1.75470i −0.253049 + 0.320363i
\(31\) 0.0423632 0.0488897i 0.00760865 0.00878085i −0.751932 0.659240i \(-0.770878\pi\)
0.759541 + 0.650459i \(0.225424\pi\)
\(32\) 0.800541 0.599278i 0.141517 0.105938i
\(33\) 0.269565 0.722732i 0.0469252 0.125811i
\(34\) 1.48171 + 0.435070i 0.254112 + 0.0746140i
\(35\) 0.958330 0.254584i 0.161987 0.0430325i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) −1.25044 1.67039i −0.205571 0.274610i 0.685893 0.727702i \(-0.259412\pi\)
−0.891464 + 0.453092i \(0.850321\pi\)
\(38\) −3.96584 + 0.283642i −0.643344 + 0.0460129i
\(39\) 4.11337 + 1.87851i 0.658666 + 0.300803i
\(40\) −2.23532 0.0580032i −0.353434 0.00917112i
\(41\) −0.905161 6.29553i −0.141362 0.983197i −0.929795 0.368077i \(-0.880016\pi\)
0.788433 0.615121i \(-0.210893\pi\)
\(42\) 0.0942606 0.433309i 0.0145447 0.0668610i
\(43\) −0.391721 + 5.47698i −0.0597369 + 0.835231i 0.875951 + 0.482401i \(0.160235\pi\)
−0.935687 + 0.352830i \(0.885219\pi\)
\(44\) 0.740121 0.217319i 0.111577 0.0327621i
\(45\) 0.531828 2.17190i 0.0792803 0.323768i
\(46\) −2.88689 + 3.82960i −0.425649 + 0.564644i
\(47\) 2.50355 + 2.50355i 0.365180 + 0.365180i 0.865716 0.500536i \(-0.166864\pi\)
−0.500536 + 0.865716i \(0.666864\pi\)
\(48\) −0.479249 + 0.877679i −0.0691736 + 0.126682i
\(49\) 5.14164 4.45525i 0.734519 0.636465i
\(50\) 3.84192 + 3.19995i 0.543330 + 0.452541i
\(51\) −1.52855 + 0.219772i −0.214040 + 0.0307743i
\(52\) 0.961223 + 4.41867i 0.133298 + 0.612759i
\(53\) 0.514249 0.191805i 0.0706375 0.0263464i −0.313897 0.949457i \(-0.601635\pi\)
0.384535 + 0.923111i \(0.374362\pi\)
\(54\) −0.755750 0.654861i −0.102844 0.0891153i
\(55\) −1.59990 0.644484i −0.215730 0.0869022i
\(56\) 0.403370 0.184213i 0.0539026 0.0246165i
\(57\) 3.48963 1.90548i 0.462212 0.252387i
\(58\) −1.70105 + 0.928842i −0.223359 + 0.121963i
\(59\) 6.40903 2.92691i 0.834385 0.381051i 0.0480454 0.998845i \(-0.484701\pi\)
0.786340 + 0.617794i \(0.211974\pi\)
\(60\) 2.05741 0.875822i 0.265610 0.113068i
\(61\) −4.00167 3.46746i −0.512361 0.443963i 0.359910 0.932987i \(-0.382808\pi\)
−0.872270 + 0.489024i \(0.837353\pi\)
\(62\) −0.0606116 + 0.0226070i −0.00769768 + 0.00287109i
\(63\) 0.0942606 + 0.433309i 0.0118757 + 0.0545918i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) 4.43766 9.08572i 0.550424 1.12694i
\(66\) −0.582960 + 0.505138i −0.0717574 + 0.0621782i
\(67\) −6.22762 + 11.4050i −0.760825 + 1.39335i 0.153409 + 0.988163i \(0.450975\pi\)
−0.914235 + 0.405185i \(0.867207\pi\)
\(68\) −1.09196 1.09196i −0.132420 0.132420i
\(69\) 1.03513 4.68279i 0.124615 0.563741i
\(70\) −0.963115 0.235836i −0.115114 0.0281877i
\(71\) 4.42946 1.30061i 0.525681 0.154354i −0.00811539 0.999967i \(-0.502583\pi\)
0.533796 + 0.845613i \(0.320765\pi\)
\(72\) 0.0713392 0.997452i 0.00840740 0.117551i
\(73\) 0.0554481 0.254891i 0.00648971 0.0298327i −0.973788 0.227457i \(-0.926959\pi\)
0.980278 + 0.197624i \(0.0633226\pi\)
\(74\) 0.296950 + 2.06534i 0.0345198 + 0.240090i
\(75\) −4.82404 1.31478i −0.557032 0.151818i
\(76\) 3.61667 + 1.65168i 0.414860 + 0.189460i
\(77\) 0.341186 0.0244021i 0.0388817 0.00278087i
\(78\) −2.70994 3.62006i −0.306840 0.409891i
\(79\) −0.951318 2.08310i −0.107032 0.234367i 0.848537 0.529137i \(-0.177484\pi\)
−0.955568 + 0.294770i \(0.904757\pi\)
\(80\) 1.93409 + 1.12218i 0.216238 + 0.125464i
\(81\) 0.959493 + 0.281733i 0.106610 + 0.0313036i
\(82\) −2.22269 + 5.95926i −0.245455 + 0.658090i
\(83\) 1.14584 0.857764i 0.125772 0.0941518i −0.534540 0.845143i \(-0.679515\pi\)
0.660312 + 0.750992i \(0.270424\pi\)
\(84\) −0.290393 + 0.335132i −0.0316845 + 0.0365659i
\(85\) 0.402599 + 3.42954i 0.0436680 + 0.371986i
\(86\) 2.96864 4.61930i 0.320117 0.498111i
\(87\) 1.16147 1.55155i 0.124523 0.166343i
\(88\) −0.753738 0.163966i −0.0803488 0.0174788i
\(89\) 0.0940165 + 0.108501i 0.00996573 + 0.0115011i 0.760711 0.649091i \(-0.224851\pi\)
−0.750745 + 0.660592i \(0.770305\pi\)
\(90\) −1.50766 + 1.65135i −0.158921 + 0.174068i
\(91\) 2.00526i 0.210208i
\(92\) 4.36910 1.97762i 0.455510 0.206182i
\(93\) 0.0457430 0.0457430i 0.00474333 0.00474333i
\(94\) −0.997489 3.39714i −0.102883 0.350388i
\(95\) −4.05694 7.91094i −0.416233 0.811645i
\(96\) 0.841254 0.540641i 0.0858601 0.0551789i
\(97\) −3.98889 2.98604i −0.405010 0.303187i 0.377282 0.926098i \(-0.376859\pi\)
−0.782292 + 0.622912i \(0.785950\pi\)
\(98\) −6.64788 + 1.44616i −0.671537 + 0.146084i
\(99\) 0.320437 0.701660i 0.0322052 0.0705195i
\(100\) −1.83840 4.64976i −0.183840 0.464976i
\(101\) −0.0549269 + 0.382025i −0.00546543 + 0.0380129i −0.992372 0.123282i \(-0.960658\pi\)
0.986906 + 0.161295i \(0.0515671\pi\)
\(102\) 1.44690 + 0.539666i 0.143265 + 0.0534349i
\(103\) −2.25315 4.12633i −0.222009 0.406579i 0.742807 0.669506i \(-0.233494\pi\)
−0.964816 + 0.262927i \(0.915312\pi\)
\(104\) 1.27400 4.33884i 0.124926 0.425458i
\(105\) 0.974050 0.185569i 0.0950575 0.0181097i
\(106\) −0.543268 0.0781101i −0.0527668 0.00758672i
\(107\) 0.811651 + 11.3484i 0.0784652 + 1.09709i 0.872306 + 0.488961i \(0.162624\pi\)
−0.793840 + 0.608126i \(0.791921\pi\)
\(108\) 0.349464 + 0.936950i 0.0336272 + 0.0901580i
\(109\) 3.50030 + 2.24951i 0.335268 + 0.215464i 0.697432 0.716651i \(-0.254326\pi\)
−0.362164 + 0.932114i \(0.617962\pi\)
\(110\) 1.09533 + 1.33240i 0.104435 + 0.127039i
\(111\) −1.12809 1.75534i −0.107073 0.166609i
\(112\) −0.442313 0.0316349i −0.0417947 0.00298921i
\(113\) −12.1855 6.65376i −1.14631 0.625933i −0.210207 0.977657i \(-0.567414\pi\)
−0.936104 + 0.351724i \(0.885596\pi\)
\(114\) −3.97597 −0.372384
\(115\) −10.4075 2.58546i −0.970501 0.241096i
\(116\) 1.93812 0.179950
\(117\) 3.96888 + 2.16717i 0.366923 + 0.200355i
\(118\) −7.02779 0.502638i −0.646961 0.0462715i
\(119\) −0.370228 0.576086i −0.0339387 0.0528097i
\(120\) −2.22548 0.217321i −0.203158 0.0198386i
\(121\) 8.75324 + 5.62536i 0.795749 + 0.511397i
\(122\) 1.85040 + 4.96111i 0.167527 + 0.449158i
\(123\) −0.453737 6.34407i −0.0409121 0.572025i
\(124\) 0.0640319 + 0.00920639i 0.00575023 + 0.000826759i
\(125\) −3.21876 + 10.7070i −0.287895 + 0.957662i
\(126\) 0.124932 0.425480i 0.0111299 0.0379048i
\(127\) 8.36914 + 15.3269i 0.742641 + 1.36005i 0.926198 + 0.377037i \(0.123057\pi\)
−0.183557 + 0.983009i \(0.558761\pi\)
\(128\) 0.936950 + 0.349464i 0.0828154 + 0.0308886i
\(129\) −0.781446 + 5.43508i −0.0688025 + 0.478532i
\(130\) −8.24916 + 5.84760i −0.723499 + 0.512868i
\(131\) −3.23360 + 7.08059i −0.282521 + 0.618634i −0.996686 0.0813431i \(-0.974079\pi\)
0.714166 + 0.699977i \(0.246806\pi\)
\(132\) 0.753738 0.163966i 0.0656045 0.0142714i
\(133\) 1.41145 + 1.05660i 0.122388 + 0.0916185i
\(134\) 10.9317 7.02538i 0.944356 0.606901i
\(135\) 0.685415 2.12843i 0.0589911 0.183186i
\(136\) 0.435070 + 1.48171i 0.0373070 + 0.127056i
\(137\) −15.7367 + 15.7367i −1.34448 + 1.34448i −0.452928 + 0.891547i \(0.649621\pi\)
−0.891547 + 0.452928i \(0.850379\pi\)
\(138\) −3.15273 + 3.61390i −0.268379 + 0.307635i
\(139\) 8.24745i 0.699540i −0.936836 0.349770i \(-0.886260\pi\)
0.936836 0.349770i \(-0.113740\pi\)
\(140\) 0.732282 + 0.668560i 0.0618891 + 0.0565036i
\(141\) 2.31857 + 2.67577i 0.195259 + 0.225341i
\(142\) −4.51096 0.981300i −0.378551 0.0823488i
\(143\) 2.09036 2.79239i 0.174805 0.233512i
\(144\) −0.540641 + 0.841254i −0.0450534 + 0.0701045i
\(145\) −3.40082 2.68625i −0.282423 0.223081i
\(146\) −0.170822 + 0.197139i −0.0141373 + 0.0163153i
\(147\) 5.44637 4.07710i 0.449209 0.336274i
\(148\) 0.729183 1.95501i 0.0599385 0.160701i
\(149\) −2.80231 0.822833i −0.229574 0.0674091i 0.164922 0.986307i \(-0.447263\pi\)
−0.394496 + 0.918897i \(0.629081\pi\)
\(150\) 3.60385 + 3.46587i 0.294253 + 0.282987i
\(151\) 5.96976 + 13.0719i 0.485812 + 1.06378i 0.980824 + 0.194894i \(0.0624362\pi\)
−0.495012 + 0.868886i \(0.664837\pi\)
\(152\) −2.38271 3.18293i −0.193263 0.258170i
\(153\) −1.54033 + 0.110167i −0.124529 + 0.00890646i
\(154\) −0.311146 0.142096i −0.0250729 0.0114504i
\(155\) −0.0995967 0.104903i −0.00799980 0.00842603i
\(156\) 0.643550 + 4.47599i 0.0515252 + 0.358366i
\(157\) −0.257391 + 1.18321i −0.0205421 + 0.0944303i −0.986277 0.165102i \(-0.947205\pi\)
0.965734 + 0.259532i \(0.0835684\pi\)
\(158\) −0.163370 + 2.28421i −0.0129970 + 0.181722i
\(159\) 0.526622 0.154630i 0.0417638 0.0122630i
\(160\) −1.15971 1.91183i −0.0916829 0.151143i
\(161\) 2.07958 0.445089i 0.163894 0.0350779i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) 1.14876 2.10379i 0.0899775 0.164782i −0.828815 0.559523i \(-0.810984\pi\)
0.918792 + 0.394742i \(0.129166\pi\)
\(164\) 4.80677 4.16509i 0.375346 0.325239i
\(165\) −1.54984 0.756977i −0.120655 0.0589306i
\(166\) −1.41676 + 0.203699i −0.109962 + 0.0158101i
\(167\) 4.51116 + 20.7375i 0.349084 + 1.60471i 0.732252 + 0.681034i \(0.238469\pi\)
−0.383168 + 0.923679i \(0.625167\pi\)
\(168\) 0.415484 0.154967i 0.0320553 0.0119560i
\(169\) 5.62928 + 4.87780i 0.433022 + 0.375215i
\(170\) 1.29025 3.20298i 0.0989576 0.245657i
\(171\) 3.61667 1.65168i 0.276574 0.126307i
\(172\) −4.81931 + 2.63154i −0.367469 + 0.200653i
\(173\) −6.24580 + 3.41047i −0.474860 + 0.259293i −0.698810 0.715308i \(-0.746287\pi\)
0.223950 + 0.974601i \(0.428105\pi\)
\(174\) −1.76298 + 0.805124i −0.133651 + 0.0610363i
\(175\) −0.358307 2.18807i −0.0270855 0.165403i
\(176\) 0.582960 + 0.505138i 0.0439423 + 0.0380762i
\(177\) 6.60151 2.46224i 0.496200 0.185073i
\(178\) −0.0305174 0.140286i −0.00228738 0.0105149i
\(179\) −9.73841 + 1.40017i −0.727883 + 0.104654i −0.496287 0.868158i \(-0.665304\pi\)
−0.231596 + 0.972812i \(0.574395\pi\)
\(180\) 2.11465 0.726817i 0.157617 0.0541737i
\(181\) −14.1369 + 12.2497i −1.05079 + 0.910513i −0.996121 0.0879921i \(-0.971955\pi\)
−0.0546663 + 0.998505i \(0.517410\pi\)
\(182\) 0.961017 1.75997i 0.0712353 0.130458i
\(183\) −3.74410 3.74410i −0.276772 0.276772i
\(184\) −4.78244 0.358166i −0.352566 0.0264043i
\(185\) −3.98917 + 2.41982i −0.293289 + 0.177908i
\(186\) −0.0620699 + 0.0182254i −0.00455119 + 0.00133635i
\(187\) −0.0849790 + 1.18816i −0.00621428 + 0.0868870i
\(188\) −0.752599 + 3.45964i −0.0548889 + 0.252320i
\(189\) 0.0631085 + 0.438929i 0.00459047 + 0.0319274i
\(190\) −0.230619 + 8.88755i −0.0167309 + 0.644770i
\(191\) 23.4982 + 10.7312i 1.70027 + 0.776486i 0.997907 + 0.0646632i \(0.0205973\pi\)
0.702359 + 0.711822i \(0.252130\pi\)
\(192\) −0.997452 + 0.0713392i −0.0719849 + 0.00514846i
\(193\) 8.01574 + 10.7078i 0.576986 + 0.770763i 0.990168 0.139886i \(-0.0446735\pi\)
−0.413182 + 0.910649i \(0.635583\pi\)
\(194\) 2.06990 + 4.53246i 0.148610 + 0.325411i
\(195\) 5.07452 8.74599i 0.363394 0.626313i
\(196\) 6.52777 + 1.91673i 0.466270 + 0.136909i
\(197\) −5.51283 + 14.7805i −0.392773 + 1.05306i 0.578622 + 0.815596i \(0.303591\pi\)
−0.971395 + 0.237469i \(0.923682\pi\)
\(198\) −0.617511 + 0.462263i −0.0438846 + 0.0328516i
\(199\) −13.7033 + 15.8144i −0.971398 + 1.12105i 0.0212200 + 0.999775i \(0.493245\pi\)
−0.992618 + 0.121279i \(0.961301\pi\)
\(200\) −0.614866 + 4.96205i −0.0434776 + 0.350870i
\(201\) −7.02538 + 10.9317i −0.495532 + 0.771063i
\(202\) 0.231293 0.308972i 0.0162737 0.0217392i
\(203\) 0.839805 + 0.182688i 0.0589428 + 0.0128222i
\(204\) −1.01128 1.16708i −0.0708038 0.0817119i
\(205\) −14.2073 + 0.646268i −0.992282 + 0.0451373i
\(206\) 4.70141i 0.327563i
\(207\) 1.36656 4.59701i 0.0949825 0.319514i
\(208\) −3.19755 + 3.19755i −0.221710 + 0.221710i
\(209\) −0.864054 2.94270i −0.0597679 0.203551i
\(210\) −0.943837 0.303942i −0.0651309 0.0209740i
\(211\) 8.28752 5.32607i 0.570536 0.366661i −0.223340 0.974741i \(-0.571696\pi\)
0.793876 + 0.608079i \(0.208060\pi\)
\(212\) 0.439380 + 0.328916i 0.0301768 + 0.0225900i
\(213\) 4.51096 0.981300i 0.309086 0.0672375i
\(214\) 4.72632 10.3492i 0.323085 0.707457i
\(215\) 12.1038 + 2.06203i 0.825471 + 0.140629i
\(216\) 0.142315 0.989821i 0.00968330 0.0673488i
\(217\) 0.0268778 + 0.0100249i 0.00182458 + 0.000680534i
\(218\) −1.99407 3.65186i −0.135055 0.247335i
\(219\) 0.0734905 0.250286i 0.00496603 0.0169127i
\(220\) −0.322796 1.69435i −0.0217629 0.114233i
\(221\) −6.91212 0.993813i −0.464960 0.0668511i
\(222\) 0.148854 + 2.08126i 0.00999046 + 0.139685i
\(223\) 8.47870 + 22.7323i 0.567776 + 1.52227i 0.830286 + 0.557337i \(0.188177\pi\)
−0.262510 + 0.964929i \(0.584550\pi\)
\(224\) 0.373048 + 0.239743i 0.0249253 + 0.0160185i
\(225\) −4.71795 1.65557i −0.314530 0.110372i
\(226\) 7.50611 + 11.6797i 0.499299 + 0.776924i
\(227\) −19.5364 1.39727i −1.29667 0.0927400i −0.594124 0.804374i \(-0.702501\pi\)
−0.702551 + 0.711634i \(0.747956\pi\)
\(228\) 3.48963 + 1.90548i 0.231106 + 0.126193i
\(229\) 3.69813 0.244379 0.122190 0.992507i \(-0.461008\pi\)
0.122190 + 0.992507i \(0.461008\pi\)
\(230\) 7.89533 + 7.25698i 0.520603 + 0.478511i
\(231\) 0.342057 0.0225057
\(232\) −1.70105 0.928842i −0.111679 0.0609815i
\(233\) −19.9721 1.42843i −1.30841 0.0935796i −0.600356 0.799733i \(-0.704974\pi\)
−0.708059 + 0.706153i \(0.750429\pi\)
\(234\) −2.44479 3.80416i −0.159821 0.248686i
\(235\) 6.11568 5.02753i 0.398943 0.327960i
\(236\) 5.92726 + 3.80922i 0.385832 + 0.247959i
\(237\) −0.800288 2.14566i −0.0519843 0.139375i
\(238\) 0.0488527 + 0.683050i 0.00316665 + 0.0442756i
\(239\) 4.14563 + 0.596052i 0.268159 + 0.0385554i 0.275082 0.961421i \(-0.411295\pi\)
−0.00692388 + 0.999976i \(0.502204\pi\)
\(240\) 1.84911 + 1.25730i 0.119359 + 0.0811583i
\(241\) 8.10265 27.5951i 0.521938 1.77756i −0.100555 0.994931i \(-0.532062\pi\)
0.622493 0.782625i \(-0.286120\pi\)
\(242\) −4.98658 9.13224i −0.320550 0.587043i
\(243\) 0.936950 + 0.349464i 0.0601054 + 0.0224181i
\(244\) 0.753552 5.24107i 0.0482412 0.335525i
\(245\) −8.79770 12.4108i −0.562064 0.792899i
\(246\) −2.64215 + 5.78551i −0.168458 + 0.368870i
\(247\) 17.5685 3.82179i 1.11786 0.243175i
\(248\) −0.0517873 0.0387675i −0.00328850 0.00246174i
\(249\) 1.20411 0.773835i 0.0763074 0.0490398i
\(250\) 7.95635 7.85471i 0.503204 0.496775i
\(251\) −2.23750 7.62024i −0.141230 0.480985i 0.858250 0.513232i \(-0.171552\pi\)
−0.999480 + 0.0322468i \(0.989734\pi\)
\(252\) −0.313562 + 0.313562i −0.0197525 + 0.0197525i
\(253\) −3.35987 1.54804i −0.211233 0.0973242i
\(254\) 17.4630i 1.09573i
\(255\) 0.156913 + 3.44952i 0.00982629 + 0.216017i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −11.0831 2.41099i −0.691346 0.150393i −0.146853 0.989158i \(-0.546914\pi\)
−0.544493 + 0.838765i \(0.683278\pi\)
\(258\) 3.29061 4.39575i 0.204865 0.273667i
\(259\) 0.500242 0.778392i 0.0310835 0.0483669i
\(260\) 10.0426 1.17891i 0.622814 0.0731132i
\(261\) 1.26920 1.46473i 0.0785615 0.0906648i
\(262\) 6.23142 4.66478i 0.384979 0.288191i
\(263\) 1.46000 3.91442i 0.0900276 0.241373i −0.884131 0.467240i \(-0.845249\pi\)
0.974158 + 0.225866i \(0.0725213\pi\)
\(264\) −0.740121 0.217319i −0.0455513 0.0133751i
\(265\) −0.315101 1.18613i −0.0193565 0.0728637i
\(266\) −0.732425 1.60379i −0.0449079 0.0983345i
\(267\) 0.0860366 + 0.114931i 0.00526535 + 0.00703369i
\(268\) −12.9614 + 0.927020i −0.791746 + 0.0566268i
\(269\) −1.91922 0.876478i −0.117017 0.0534398i 0.356046 0.934468i \(-0.384125\pi\)
−0.473063 + 0.881028i \(0.656852\pi\)
\(270\) −1.62162 + 1.53959i −0.0986887 + 0.0936966i
\(271\) −2.17932 15.1575i −0.132384 0.920752i −0.942434 0.334392i \(-0.891469\pi\)
0.810050 0.586361i \(-0.199440\pi\)
\(272\) 0.328258 1.50898i 0.0199035 0.0914951i
\(273\) −0.143053 + 2.00015i −0.00865798 + 0.121054i
\(274\) 21.3535 6.26997i 1.29001 0.378782i
\(275\) −1.78198 + 3.42048i −0.107457 + 0.206263i
\(276\) 4.49905 1.66090i 0.270811 0.0999743i
\(277\) −18.5544 18.5544i −1.11482 1.11482i −0.992489 0.122334i \(-0.960962\pi\)
−0.122334 0.992489i \(-0.539038\pi\)
\(278\) −3.95258 + 7.23861i −0.237060 + 0.434143i
\(279\) 0.0488897 0.0423632i 0.00292695 0.00253622i
\(280\) −0.322302 0.937726i −0.0192612 0.0560399i
\(281\) 5.51422 0.792825i 0.328951 0.0472960i 0.0241390 0.999709i \(-0.492316\pi\)
0.304812 + 0.952413i \(0.401406\pi\)
\(282\) −0.752599 3.45964i −0.0448166 0.206019i
\(283\) −4.20777 + 1.56942i −0.250126 + 0.0932922i −0.471400 0.881919i \(-0.656251\pi\)
0.221274 + 0.975212i \(0.428978\pi\)
\(284\) 3.48889 + 3.02314i 0.207027 + 0.179390i
\(285\) −3.48224 8.18020i −0.206270 0.484553i
\(286\) −3.17291 + 1.44902i −0.187618 + 0.0856825i
\(287\) 2.47542 1.35168i 0.146120 0.0797873i
\(288\) 0.877679 0.479249i 0.0517177 0.0282400i
\(289\) −13.2945 + 6.07139i −0.782029 + 0.357141i
\(290\) 1.69745 + 3.98751i 0.0996776 + 0.234155i
\(291\) −3.76570 3.26300i −0.220749 0.191280i
\(292\) 0.244405 0.0911584i 0.0143027 0.00533464i
\(293\) 3.09717 + 14.2374i 0.180938 + 0.831761i 0.974697 + 0.223528i \(0.0717575\pi\)
−0.793759 + 0.608232i \(0.791879\pi\)
\(294\) −6.73411 + 0.968219i −0.392741 + 0.0564677i
\(295\) −5.12096 14.8993i −0.298154 0.867469i
\(296\) −1.57693 + 1.36642i −0.0916570 + 0.0794213i
\(297\) 0.369677 0.677012i 0.0214508 0.0392842i
\(298\) 2.06519 + 2.06519i 0.119633 + 0.119633i
\(299\) 10.4571 18.9991i 0.604752 1.09875i
\(300\) −1.50201 4.76906i −0.0867185 0.275342i
\(301\) −2.33630 + 0.685999i −0.134662 + 0.0395403i
\(302\) 1.02519 14.3340i 0.0589928 0.824827i
\(303\) −0.0820404 + 0.377133i −0.00471310 + 0.0216658i
\(304\) 0.565840 + 3.93550i 0.0324531 + 0.225716i
\(305\) −8.58642 + 8.15208i −0.491657 + 0.466787i
\(306\) 1.40472 + 0.641512i 0.0803022 + 0.0366728i
\(307\) 29.2590 2.09265i 1.66990 0.119434i 0.795922 0.605399i \(-0.206987\pi\)
0.873978 + 0.485966i \(0.161532\pi\)
\(308\) 0.204987 + 0.273831i 0.0116802 + 0.0156030i
\(309\) −1.95304 4.27655i −0.111104 0.243285i
\(310\) 0.0371392 + 0.139803i 0.00210936 + 0.00794028i
\(311\) −16.7687 4.92374i −0.950867 0.279200i −0.230719 0.973020i \(-0.574108\pi\)
−0.720148 + 0.693821i \(0.755926\pi\)
\(312\) 1.58028 4.23690i 0.0894658 0.239867i
\(313\) 4.03374 3.01962i 0.228001 0.170679i −0.479170 0.877722i \(-0.659062\pi\)
0.707171 + 0.707043i \(0.249971\pi\)
\(314\) 0.792958 0.915123i 0.0447492 0.0516434i
\(315\) 0.984806 0.115608i 0.0554875 0.00651378i
\(316\) 1.23809 1.92651i 0.0696481 0.108374i
\(317\) −1.75404 + 2.34312i −0.0985167 + 0.131603i −0.847091 0.531448i \(-0.821648\pi\)
0.748574 + 0.663051i \(0.230739\pi\)
\(318\) −0.536311 0.116667i −0.0300748 0.00654238i
\(319\) −0.979018 1.12985i −0.0548145 0.0632593i
\(320\) 0.101610 + 2.23376i 0.00568018 + 0.124871i
\(321\) 11.3773i 0.635022i
\(322\) −2.03851 0.605992i −0.113602 0.0337706i
\(323\) −4.34161 + 4.34161i −0.241574 + 0.241574i
\(324\) 0.281733 + 0.959493i 0.0156518 + 0.0533052i
\(325\) −19.2557 11.8504i −1.06811 0.657344i
\(326\) −2.01648 + 1.29591i −0.111682 + 0.0717739i
\(327\) 3.33090 + 2.49348i 0.184199 + 0.137890i
\(328\) −6.21492 + 1.35197i −0.343162 + 0.0746502i
\(329\) −0.652216 + 1.42815i −0.0359578 + 0.0787366i
\(330\) 0.997486 + 1.40714i 0.0549098 + 0.0774607i
\(331\) 2.64232 18.3778i 0.145235 1.01013i −0.778649 0.627460i \(-0.784095\pi\)
0.923884 0.382673i \(-0.124996\pi\)
\(332\) 1.34108 + 0.500198i 0.0736015 + 0.0274520i
\(333\) −0.999988 1.83134i −0.0547990 0.100357i
\(334\) 5.97906 20.3628i 0.327159 1.11420i
\(335\) 24.0283 + 16.3380i 1.31281 + 0.892642i
\(336\) −0.438929 0.0631085i −0.0239456 0.00344285i
\(337\) −2.01819 28.2180i −0.109938 1.53713i −0.690750 0.723094i \(-0.742719\pi\)
0.580812 0.814038i \(-0.302735\pi\)
\(338\) −2.60302 6.97897i −0.141586 0.379606i
\(339\) −11.6797 7.50611i −0.634356 0.407676i
\(340\) −2.66745 + 2.19284i −0.144663 + 0.118923i
\(341\) −0.0269780 0.0419785i −0.00146094 0.00227326i
\(342\) −3.96584 0.283642i −0.214448 0.0153376i
\(343\) 5.37228 + 2.93348i 0.290076 + 0.158393i
\(344\) 5.49097 0.296053
\(345\) −10.1965 3.32134i −0.548961 0.178815i
\(346\) 7.11627 0.382573
\(347\) −8.05801 4.40000i −0.432576 0.236205i 0.248181 0.968714i \(-0.420167\pi\)
−0.680757 + 0.732509i \(0.738349\pi\)
\(348\) 1.93318 + 0.138264i 0.103629 + 0.00741173i
\(349\) 15.1169 + 23.5224i 0.809189 + 1.25912i 0.962591 + 0.270959i \(0.0873409\pi\)
−0.153401 + 0.988164i \(0.549023\pi\)
\(350\) −0.734153 + 2.09214i −0.0392421 + 0.111830i
\(351\) 3.80416 + 2.44479i 0.203051 + 0.130493i
\(352\) −0.269565 0.722732i −0.0143679 0.0385217i
\(353\) −2.52923 35.3632i −0.134617 1.88220i −0.397833 0.917458i \(-0.630238\pi\)
0.263215 0.964737i \(-0.415217\pi\)
\(354\) −6.97403 1.00271i −0.370665 0.0532936i
\(355\) −1.93186 10.1403i −0.102533 0.538193i
\(356\) −0.0404475 + 0.137752i −0.00214372 + 0.00730082i
\(357\) −0.328187 0.601030i −0.0173695 0.0318099i
\(358\) 9.21823 + 3.43822i 0.487199 + 0.181716i
\(359\) −3.17183 + 22.0606i −0.167403 + 1.16431i 0.716824 + 0.697254i \(0.245595\pi\)
−0.884227 + 0.467058i \(0.845314\pi\)
\(360\) −2.20431 0.375531i −0.116177 0.0197922i
\(361\) −1.32586 + 2.90324i −0.0697823 + 0.152802i
\(362\) 18.2783 3.97620i 0.960687 0.208985i
\(363\) 8.32963 + 6.23548i 0.437192 + 0.327278i
\(364\) −1.68693 + 1.08412i −0.0884191 + 0.0568235i
\(365\) −0.555205 0.178792i −0.0290607 0.00935839i
\(366\) 1.49176 + 5.08048i 0.0779757 + 0.265561i
\(367\) 16.5047 16.5047i 0.861539 0.861539i −0.129978 0.991517i \(-0.541491\pi\)
0.991517 + 0.129978i \(0.0414906\pi\)
\(368\) 4.02580 + 2.60633i 0.209859 + 0.135865i
\(369\) 6.36027i 0.331103i
\(370\) 4.66090 0.212017i 0.242309 0.0110222i
\(371\) 0.159384 + 0.183939i 0.00827479 + 0.00954961i
\(372\) 0.0632120 + 0.0137509i 0.00327739 + 0.000712952i
\(373\) 21.2519 28.3892i 1.10038 1.46994i 0.232876 0.972506i \(-0.425186\pi\)
0.867504 0.497430i \(-0.165723\pi\)
\(374\) 0.644009 1.00210i 0.0333009 0.0518173i
\(375\) −3.97439 + 10.4501i −0.205236 + 0.539640i
\(376\) 2.31857 2.67577i 0.119571 0.137992i
\(377\) 7.01611 5.25219i 0.361348 0.270502i
\(378\) 0.154967 0.415484i 0.00797067 0.0213702i
\(379\) −10.9030 3.20141i −0.560049 0.164445i −0.0105574 0.999944i \(-0.503361\pi\)
−0.549492 + 0.835499i \(0.685179\pi\)
\(380\) 4.46176 7.68989i 0.228883 0.394483i
\(381\) 7.25441 + 15.8849i 0.371655 + 0.813810i
\(382\) −15.4809 20.6801i −0.792071 1.05808i
\(383\) 16.6426 1.19030i 0.850397 0.0608216i 0.360666 0.932695i \(-0.382550\pi\)
0.489731 + 0.871874i \(0.337095\pi\)
\(384\) 0.909632 + 0.415415i 0.0464195 + 0.0211991i
\(385\) 0.0198404 0.764606i 0.00101116 0.0389679i
\(386\) −1.90356 13.2395i −0.0968885 0.673874i
\(387\) −1.16719 + 5.36548i −0.0593315 + 0.272743i
\(388\) 0.355464 4.97004i 0.0180460 0.252316i
\(389\) 28.0805 8.24517i 1.42374 0.418047i 0.522970 0.852351i \(-0.324824\pi\)
0.900766 + 0.434304i \(0.143006\pi\)
\(390\) −8.64530 + 5.24421i −0.437772 + 0.265551i
\(391\) 0.503573 + 7.38891i 0.0254668 + 0.373673i
\(392\) −4.81070 4.81070i −0.242977 0.242977i
\(393\) −3.73048 + 6.83186i −0.188178 + 0.344622i
\(394\) 11.9220 10.3305i 0.600623 0.520442i
\(395\) −4.84264 + 1.66444i −0.243659 + 0.0837471i
\(396\) 0.763515 0.109777i 0.0383681 0.00551650i
\(397\) 4.28288 + 19.6881i 0.214952 + 0.988117i 0.950519 + 0.310666i \(0.100552\pi\)
−0.735567 + 0.677452i \(0.763084\pi\)
\(398\) 19.6061 7.31270i 0.982765 0.366552i
\(399\) 1.33247 + 1.15460i 0.0667072 + 0.0578021i
\(400\) 2.91771 4.06041i 0.145886 0.203021i
\(401\) −25.4694 + 11.6315i −1.27188 + 0.580849i −0.932965 0.359967i \(-0.882788\pi\)
−0.338917 + 0.940816i \(0.610061\pi\)
\(402\) 11.4050 6.22762i 0.568832 0.310606i
\(403\) 0.256748 0.140195i 0.0127895 0.00698361i
\(404\) −0.351076 + 0.160331i −0.0174667 + 0.00797676i
\(405\) 0.835509 2.07411i 0.0415168 0.103063i
\(406\) −0.649526 0.562818i −0.0322354 0.0279322i
\(407\) −1.50803 + 0.562467i −0.0747504 + 0.0278805i
\(408\) 0.328258 + 1.50898i 0.0162512 + 0.0747055i
\(409\) 14.1672 2.03694i 0.700524 0.100720i 0.217156 0.976137i \(-0.430322\pi\)
0.483369 + 0.875417i \(0.339413\pi\)
\(410\) 12.7792 + 6.24162i 0.631119 + 0.308252i
\(411\) −16.8192 + 14.5739i −0.829631 + 0.718880i
\(412\) 2.25315 4.12633i 0.111004 0.203290i
\(413\) 2.20927 + 2.20927i 0.108711 + 0.108711i
\(414\) −3.40251 + 3.37978i −0.167224 + 0.166107i
\(415\) −1.65992 2.73645i −0.0814825 0.134327i
\(416\) 4.33884 1.27400i 0.212729 0.0624629i
\(417\) 0.588366 8.22644i 0.0288124 0.402850i
\(418\) −0.651923 + 2.99684i −0.0318866 + 0.146580i
\(419\) 0.377352 + 2.62454i 0.0184348 + 0.128217i 0.996961 0.0779075i \(-0.0248239\pi\)
−0.978526 + 0.206125i \(0.933915\pi\)
\(420\) 0.682721 + 0.719097i 0.0333134 + 0.0350883i
\(421\) −15.2862 6.98099i −0.745006 0.340233i 0.00648261 0.999979i \(-0.497937\pi\)
−0.751488 + 0.659746i \(0.770664\pi\)
\(422\) −9.82629 + 0.702790i −0.478337 + 0.0342113i
\(423\) 2.12177 + 2.83436i 0.103164 + 0.137811i
\(424\) −0.228002 0.499255i −0.0110728 0.0242460i
\(425\) 7.71987 0.150667i 0.374469 0.00730843i
\(426\) −4.42946 1.30061i −0.214608 0.0630146i
\(427\) 0.820547 2.19997i 0.0397090 0.106464i
\(428\) −9.10804 + 6.81819i −0.440254 + 0.329570i
\(429\) 2.28424 2.63615i 0.110284 0.127275i
\(430\) −9.63501 7.61053i −0.464642 0.367012i
\(431\) −8.96138 + 13.9442i −0.431654 + 0.671667i −0.987140 0.159859i \(-0.948896\pi\)
0.555485 + 0.831526i \(0.312532\pi\)
\(432\) −0.599278 + 0.800541i −0.0288328 + 0.0385161i
\(433\) 23.1208 + 5.02962i 1.11111 + 0.241708i 0.730424 0.682994i \(-0.239323\pi\)
0.380690 + 0.924703i \(0.375686\pi\)
\(434\) −0.0187856 0.0216798i −0.000901740 0.00104066i
\(435\) −3.20052 2.92202i −0.153453 0.140100i
\(436\) 4.16082i 0.199267i
\(437\) −7.86298 17.3714i −0.376137 0.830987i
\(438\) −0.184450 + 0.184450i −0.00881337 + 0.00881337i
\(439\) −0.0953358 0.324684i −0.00455013 0.0154963i 0.957187 0.289472i \(-0.0934796\pi\)
−0.961737 + 0.273975i \(0.911661\pi\)
\(440\) −0.528706 + 1.64180i −0.0252051 + 0.0782697i
\(441\) 5.72335 3.67817i 0.272540 0.175151i
\(442\) 5.59034 + 4.18488i 0.265905 + 0.199054i
\(443\) 23.7054 5.15680i 1.12628 0.245007i 0.389424 0.921059i \(-0.372674\pi\)
0.736854 + 0.676052i \(0.236310\pi\)
\(444\) 0.866794 1.89801i 0.0411362 0.0900758i
\(445\) 0.261898 0.185653i 0.0124152 0.00880077i
\(446\) 3.45284 24.0151i 0.163497 1.13715i
\(447\) −2.73647 1.02065i −0.129431 0.0482752i
\(448\) −0.212520 0.389201i −0.0100406 0.0183880i
\(449\) −10.0490 + 34.2239i −0.474243 + 1.61512i 0.281020 + 0.959702i \(0.409327\pi\)
−0.755263 + 0.655422i \(0.772491\pi\)
\(450\) 3.34742 + 3.71414i 0.157799 + 0.175086i
\(451\) −4.85616 0.698211i −0.228668 0.0328775i
\(452\) −0.990454 13.8484i −0.0465870 0.651372i
\(453\) 5.02200 + 13.4645i 0.235954 + 0.632618i
\(454\) 16.4770 + 10.5891i 0.773305 + 0.496973i
\(455\) 4.46266 + 0.435784i 0.209213 + 0.0204299i
\(456\) −2.14957 3.34480i −0.100663 0.156635i
\(457\) −5.81093 0.415606i −0.271824 0.0194412i −0.0652381 0.997870i \(-0.520781\pi\)
−0.206586 + 0.978429i \(0.566235\pi\)
\(458\) −3.24577 1.77233i −0.151665 0.0828153i
\(459\) −1.54427 −0.0720802
\(460\) −3.45167 10.1531i −0.160935 0.473392i
\(461\) −5.60795 −0.261188 −0.130594 0.991436i \(-0.541688\pi\)
−0.130594 + 0.991436i \(0.541688\pi\)
\(462\) −0.300216 0.163931i −0.0139673 0.00762674i
\(463\) −21.1047 1.50944i −0.980819 0.0701496i −0.428288 0.903642i \(-0.640883\pi\)
−0.552531 + 0.833493i \(0.686338\pi\)
\(464\) 1.04783 + 1.63045i 0.0486442 + 0.0756918i
\(465\) −0.0918593 0.111741i −0.00425987 0.00518187i
\(466\) 16.8445 + 10.8253i 0.780306 + 0.501472i
\(467\) 14.6884 + 39.3812i 0.679699 + 1.82234i 0.558118 + 0.829762i \(0.311524\pi\)
0.121581 + 0.992581i \(0.461203\pi\)
\(468\) 0.322597 + 4.51049i 0.0149120 + 0.208498i
\(469\) −5.70369 0.820067i −0.263372 0.0378672i
\(470\) −7.77704 + 1.48163i −0.358728 + 0.0683423i
\(471\) −0.341145 + 1.16183i −0.0157191 + 0.0535344i
\(472\) −3.37667 6.18390i −0.155424 0.284637i
\(473\) 3.96850 + 1.48017i 0.182472 + 0.0680584i
\(474\) −0.325907 + 2.26673i −0.0149694 + 0.104115i
\(475\) −18.4873 + 7.30943i −0.848256 + 0.335380i
\(476\) 0.284474 0.622911i 0.0130388 0.0285511i
\(477\) 0.536311 0.116667i 0.0245560 0.00534183i
\(478\) −3.35288 2.50993i −0.153357 0.114802i
\(479\) 3.28814 2.11316i 0.150239 0.0965528i −0.463362 0.886169i \(-0.653357\pi\)
0.613601 + 0.789617i \(0.289721\pi\)
\(480\) −1.02036 1.98969i −0.0465731 0.0908164i
\(481\) −2.65829 9.05331i −0.121208 0.412795i
\(482\) −20.3365 + 20.3365i −0.926300 + 0.926300i
\(483\) 2.10603 0.295599i 0.0958279 0.0134502i
\(484\) 10.4050i 0.472954i
\(485\) −7.51225 + 8.22827i −0.341114 + 0.373626i
\(486\) −0.654861 0.755750i −0.0297051 0.0342815i
\(487\) 27.0776 + 5.89037i 1.22700 + 0.266918i 0.778949 0.627088i \(-0.215753\pi\)
0.448055 + 0.894006i \(0.352117\pi\)
\(488\) −3.17315 + 4.23884i −0.143642 + 0.191883i
\(489\) 1.29591 2.01648i 0.0586032 0.0911883i
\(490\) 1.77367 + 15.1090i 0.0801264 + 0.682556i
\(491\) 24.1696 27.8932i 1.09076 1.25880i 0.127036 0.991898i \(-0.459453\pi\)
0.963723 0.266905i \(-0.0860011\pi\)
\(492\) 5.09166 3.81157i 0.229550 0.171839i
\(493\) −1.04594 + 2.80427i −0.0471067 + 0.126298i
\(494\) −17.2511 5.06538i −0.776164 0.227902i
\(495\) −1.49189 0.865613i −0.0670556 0.0389064i
\(496\) 0.0268733 + 0.0588444i 0.00120665 + 0.00264219i
\(497\) 1.22680 + 1.63882i 0.0550297 + 0.0735110i
\(498\) −1.42768 + 0.102110i −0.0639760 + 0.00457565i
\(499\) −32.2946 14.7484i −1.44570 0.660231i −0.470675 0.882307i \(-0.655989\pi\)
−0.975029 + 0.222076i \(0.928717\pi\)
\(500\) −10.7475 + 3.08084i −0.480642 + 0.137779i
\(501\) 3.02027 + 21.0064i 0.134936 + 0.938498i
\(502\) −1.68818 + 7.76044i −0.0753472 + 0.346366i
\(503\) −0.437781 + 6.12098i −0.0195197 + 0.272921i 0.978314 + 0.207129i \(0.0664120\pi\)
−0.997833 + 0.0657921i \(0.979043\pi\)
\(504\) 0.425480 0.124932i 0.0189524 0.00556493i
\(505\) 0.838254 + 0.205261i 0.0373018 + 0.00913400i
\(506\) 2.20699 + 2.96889i 0.0981128 + 0.131983i
\(507\) 5.26696 + 5.26696i 0.233914 + 0.233914i
\(508\) −8.36914 + 15.3269i −0.371321 + 0.680023i
\(509\) −15.3218 + 13.2764i −0.679128 + 0.588468i −0.924602 0.380935i \(-0.875602\pi\)
0.245473 + 0.969403i \(0.421057\pi\)
\(510\) 1.51546 3.10277i 0.0671057 0.137393i
\(511\) 0.114496 0.0164620i 0.00506499 0.000728235i
\(512\) 0.212565 + 0.977147i 0.00939415 + 0.0431842i
\(513\) 3.72528 1.38946i 0.164475 0.0613461i
\(514\) 8.57196 + 7.42765i 0.378093 + 0.327620i
\(515\) −9.67272 + 4.11760i −0.426231 + 0.181443i
\(516\) −4.99476 + 2.28103i −0.219882 + 0.100417i
\(517\) 2.39700 1.30886i 0.105420 0.0575636i
\(518\) −0.812096 + 0.443438i −0.0356814 + 0.0194835i
\(519\) −6.47319 + 2.95621i −0.284141 + 0.129763i
\(520\) −9.37915 3.77818i −0.411303 0.165684i
\(521\) −16.4466 14.2510i −0.720537 0.624349i 0.215396 0.976527i \(-0.430896\pi\)
−0.935933 + 0.352178i \(0.885441\pi\)
\(522\) −1.81592 + 0.677304i −0.0794807 + 0.0296448i
\(523\) 0.432776 + 1.98944i 0.0189240 + 0.0869921i 0.985640 0.168859i \(-0.0540081\pi\)
−0.966716 + 0.255851i \(0.917644\pi\)
\(524\) −7.70478 + 1.10778i −0.336585 + 0.0483936i
\(525\) −0.201299 2.20806i −0.00878540 0.0963676i
\(526\) −3.15739 + 2.73590i −0.137669 + 0.119291i
\(527\) −0.0478766 + 0.0876794i −0.00208554 + 0.00381938i
\(528\) 0.545439 + 0.545439i 0.0237372 + 0.0237372i
\(529\) −22.0244 6.62767i −0.957582 0.288159i
\(530\) −0.291896 + 1.19206i −0.0126792 + 0.0517797i
\(531\) 6.76034 1.98502i 0.293374 0.0861423i
\(532\) −0.125779 + 1.75862i −0.00545322 + 0.0762460i
\(533\) 6.11364 28.1040i 0.264811 1.21732i
\(534\) −0.0204317 0.142106i −0.000884168 0.00614952i
\(535\) 25.4320 + 0.659923i 1.09952 + 0.0285310i
\(536\) 11.8203 + 5.39813i 0.510557 + 0.233164i
\(537\) −9.81349 + 0.701874i −0.423483 + 0.0302881i
\(538\) 1.26441 + 1.68905i 0.0545124 + 0.0728201i
\(539\) −2.18005 4.77364i −0.0939014 0.205615i
\(540\) 2.16111 0.574107i 0.0929994 0.0247057i
\(541\) 11.5020 + 3.37729i 0.494509 + 0.145201i 0.519472 0.854487i \(-0.326129\pi\)
−0.0249629 + 0.999688i \(0.507947\pi\)
\(542\) −5.35147 + 14.3479i −0.229865 + 0.616293i
\(543\) −14.9748 + 11.2100i −0.642629 + 0.481066i
\(544\) −1.01128 + 1.16708i −0.0433583 + 0.0500381i
\(545\) 5.76693 7.30099i 0.247028 0.312740i
\(546\) 1.08412 1.68693i 0.0463962 0.0721939i
\(547\) 6.66874 8.90839i 0.285135 0.380895i −0.634990 0.772520i \(-0.718996\pi\)
0.920125 + 0.391625i \(0.128087\pi\)
\(548\) −21.7464 4.73065i −0.928961 0.202083i
\(549\) −3.46746 4.00167i −0.147988 0.170787i
\(550\) 3.20327 2.14808i 0.136588 0.0915943i
\(551\) 7.70591i 0.328283i
\(552\) −4.74470 0.698428i −0.201948 0.0297271i
\(553\) 0.718070 0.718070i 0.0305354 0.0305354i
\(554\) 7.39261 + 25.1769i 0.314082 + 1.06967i
\(555\) −4.15163 + 2.12907i −0.176227 + 0.0903738i
\(556\) 6.93820 4.45891i 0.294245 0.189100i
\(557\) −22.0028 16.4711i −0.932290 0.697904i 0.0210573 0.999778i \(-0.493297\pi\)
−0.953348 + 0.301874i \(0.902388\pi\)
\(558\) −0.0632120 + 0.0137509i −0.00267598 + 0.000582123i
\(559\) −10.3148 + 22.5864i −0.436272 + 0.955302i
\(560\) −0.166527 + 0.977485i −0.00703704 + 0.0413063i
\(561\) −0.169525 + 1.17907i −0.00715735 + 0.0497805i
\(562\) −5.21967 1.94684i −0.220179 0.0821224i
\(563\) −4.36721 7.99794i −0.184056 0.337073i 0.769317 0.638867i \(-0.220596\pi\)
−0.953373 + 0.301794i \(0.902415\pi\)
\(564\) −0.997489 + 3.39714i −0.0420019 + 0.143045i
\(565\) −17.4560 + 25.6725i −0.734379 + 1.08005i
\(566\) 4.44522 + 0.639126i 0.186846 + 0.0268645i
\(567\) 0.0316349 + 0.442313i 0.00132854 + 0.0185754i
\(568\) −1.61329 4.32539i −0.0676921 0.181489i
\(569\) −4.88637 3.14028i −0.204847 0.131647i 0.434195 0.900819i \(-0.357033\pi\)
−0.639043 + 0.769171i \(0.720669\pi\)
\(570\) −0.864062 + 8.84845i −0.0361916 + 0.370621i
\(571\) −16.6126 25.8497i −0.695215 1.08178i −0.991927 0.126809i \(-0.959526\pi\)
0.296712 0.954967i \(-0.404110\pi\)
\(572\) 3.47924 + 0.248840i 0.145474 + 0.0104045i
\(573\) 22.6727 + 12.3802i 0.947167 + 0.517192i
\(574\) −2.82042 −0.117722
\(575\) −8.01566 + 22.5998i −0.334276 + 0.942475i
\(576\) −1.00000 −0.0416667
\(577\) −22.4359 12.2509i −0.934020 0.510014i −0.0612379 0.998123i \(-0.519505\pi\)
−0.872782 + 0.488110i \(0.837687\pi\)
\(578\) 14.5780 + 1.04264i 0.606365 + 0.0433681i
\(579\) 7.23144 + 11.2523i 0.300528 + 0.467631i
\(580\) 0.421194 4.31325i 0.0174891 0.179098i
\(581\) 0.533955 + 0.343152i 0.0221522 + 0.0142363i
\(582\) 1.74129 + 4.66857i 0.0721787 + 0.193519i
\(583\) −0.0302027 0.422289i −0.00125087 0.0174894i
\(584\) −0.258197 0.0371231i −0.0106843 0.00153617i
\(585\) 5.68552 8.36169i 0.235067 0.345713i
\(586\) 4.10496 13.9802i 0.169574 0.577518i
\(587\) 10.7794 + 19.7410i 0.444913 + 0.814797i 0.999854 0.0170927i \(-0.00544104\pi\)
−0.554941 + 0.831890i \(0.687259\pi\)
\(588\) 6.37440 + 2.37753i 0.262876 + 0.0980477i
\(589\) 0.0366043 0.254589i 0.00150826 0.0104901i
\(590\) −2.64590 + 15.5310i −0.108930 + 0.639401i
\(591\) −6.55321 + 14.3495i −0.269563 + 0.590261i
\(592\) 2.03889 0.443533i 0.0837978 0.0182291i
\(593\) −27.1654 20.3357i −1.11555 0.835089i −0.127901 0.991787i \(-0.540824\pi\)
−0.987647 + 0.156698i \(0.949915\pi\)
\(594\) −0.648915 + 0.417032i −0.0266253 + 0.0171110i
\(595\) −1.36253 + 0.698740i −0.0558582 + 0.0286456i
\(596\) −0.822833 2.80231i −0.0337046 0.114787i
\(597\) −14.7965 + 14.7965i −0.605582 + 0.605582i
\(598\) −18.2833 + 11.6635i −0.747660 + 0.476958i
\(599\) 20.9360i 0.855421i 0.903916 + 0.427710i \(0.140680\pi\)
−0.903916 + 0.427710i \(0.859320\pi\)
\(600\) −0.967288 + 4.90554i −0.0394894 + 0.200268i
\(601\) 8.00257 + 9.23546i 0.326432 + 0.376722i 0.895116 0.445834i \(-0.147093\pi\)
−0.568684 + 0.822556i \(0.692547\pi\)
\(602\) 2.37929 + 0.517582i 0.0969724 + 0.0210951i
\(603\) −7.78734 + 10.4027i −0.317125 + 0.423630i
\(604\) −7.76932 + 12.0893i −0.316129 + 0.491907i
\(605\) 14.4214 18.2577i 0.586314 0.742280i
\(606\) 0.252746 0.291684i 0.0102671 0.0118489i
\(607\) 23.6019 17.6681i 0.957970 0.717127i −0.00118779 0.999999i \(-0.500378\pi\)
0.959158 + 0.282872i \(0.0912872\pi\)
\(608\) 1.38946 3.72528i 0.0563500 0.151080i
\(609\) 0.824633 + 0.242134i 0.0334158 + 0.00981176i
\(610\) 11.4430 3.03988i 0.463314 0.123081i
\(611\) 6.65097 + 14.5636i 0.269070 + 0.589180i
\(612\) −0.925445 1.23625i −0.0374089 0.0499724i
\(613\) 24.3694 1.74293i 0.984271 0.0703965i 0.430084 0.902789i \(-0.358484\pi\)
0.554187 + 0.832392i \(0.313029\pi\)
\(614\) −26.6829 12.1857i −1.07683 0.491774i
\(615\) −14.2172 0.368916i −0.573293 0.0148761i
\(616\) −0.0486798 0.338575i −0.00196137 0.0136416i
\(617\) −3.46216 + 15.9153i −0.139381 + 0.640725i 0.853448 + 0.521179i \(0.174508\pi\)
−0.992829 + 0.119546i \(0.961856\pi\)
\(618\) −0.335395 + 4.68943i −0.0134916 + 0.188637i
\(619\) −6.90268 + 2.02681i −0.277442 + 0.0814644i −0.417494 0.908680i \(-0.637091\pi\)
0.140051 + 0.990144i \(0.455273\pi\)
\(620\) 0.0344041 0.140501i 0.00138170 0.00564266i
\(621\) 1.69103 4.48781i 0.0678585 0.180090i
\(622\) 12.3579 + 12.3579i 0.495505 + 0.495505i
\(623\) −0.0305108 + 0.0558764i −0.00122239 + 0.00223864i
\(624\) −3.41751 + 2.96129i −0.136810 + 0.118546i
\(625\) 23.1287 + 9.49015i 0.925148 + 0.379606i
\(626\) −4.98748 + 0.717092i −0.199340 + 0.0286608i
\(627\) −0.651923 2.99684i −0.0260353 0.119682i
\(628\) −1.13453 + 0.423160i −0.0452729 + 0.0168859i
\(629\) 2.43520 + 2.11011i 0.0970977 + 0.0841356i
\(630\) −0.919749 0.370501i −0.0366437 0.0147611i
\(631\) −32.2381 + 14.7227i −1.28338 + 0.586100i −0.936124 0.351670i \(-0.885614\pi\)
−0.347256 + 0.937770i \(0.612886\pi\)
\(632\) −2.00992 + 1.09750i −0.0799504 + 0.0436562i
\(633\) 8.64636 4.72127i 0.343662 0.187654i
\(634\) 2.66242 1.21589i 0.105738 0.0482891i
\(635\) 35.9286 15.2945i 1.42578 0.606944i
\(636\) 0.414796 + 0.359423i 0.0164477 + 0.0142520i
\(637\) 28.8251 10.7512i 1.14209 0.425979i
\(638\) 0.317785 + 1.46084i 0.0125812 + 0.0578351i
\(639\) 4.56947 0.656991i 0.180766 0.0259902i
\(640\) 0.981345 2.00922i 0.0387911 0.0794214i
\(641\) −7.93863 + 6.87886i −0.313557 + 0.271699i −0.797393 0.603460i \(-0.793788\pi\)
0.483836 + 0.875158i \(0.339243\pi\)
\(642\) 5.45258 9.98566i 0.215196 0.394103i
\(643\) 25.5325 + 25.5325i 1.00690 + 1.00690i 0.999976 + 0.00692632i \(0.00220474\pi\)
0.00692632 + 0.999976i \(0.497795\pi\)
\(644\) 1.49874 + 1.50882i 0.0590586 + 0.0594559i
\(645\) 11.9258 + 2.92025i 0.469580 + 0.114985i
\(646\) 5.89125 1.72983i 0.231788 0.0680591i
\(647\) −1.92275 + 26.8836i −0.0755912 + 1.05690i 0.808165 + 0.588956i \(0.200461\pi\)
−0.883756 + 0.467947i \(0.844994\pi\)
\(648\) 0.212565 0.977147i 0.00835035 0.0383860i
\(649\) −0.773460 5.37953i −0.0303610 0.211165i
\(650\) 11.2210 + 19.6292i 0.440124 + 0.769919i
\(651\) 0.0260941 + 0.0119168i 0.00102271 + 0.000467056i
\(652\) 2.39089 0.170999i 0.0936343 0.00669686i
\(653\) −1.49620 1.99869i −0.0585508 0.0782147i 0.770310 0.637670i \(-0.220101\pi\)
−0.828861 + 0.559455i \(0.811011\pi\)
\(654\) −1.72847 3.78481i −0.0675883 0.147998i
\(655\) 15.0550 + 8.73507i 0.588247 + 0.341307i
\(656\) 6.10264 + 1.79190i 0.238268 + 0.0699618i
\(657\) 0.0911584 0.244405i 0.00355643 0.00953516i
\(658\) 1.25688 0.940886i 0.0489982 0.0366796i
\(659\) 28.2413 32.5922i 1.10013 1.26961i 0.139968 0.990156i \(-0.455300\pi\)
0.960158 0.279457i \(-0.0901545\pi\)
\(660\) −0.201100 1.71306i −0.00782779 0.0666810i
\(661\) 9.48267 14.7553i 0.368833 0.573915i −0.606382 0.795173i \(-0.707380\pi\)
0.975215 + 0.221258i \(0.0710163\pi\)
\(662\) −11.1266 + 14.8634i −0.432449 + 0.577684i
\(663\) −6.82361 1.48439i −0.265007 0.0576488i
\(664\) −0.937322 1.08173i −0.0363751 0.0419791i
\(665\) 2.65817 2.91153i 0.103080 0.112904i
\(666\) 2.08657i 0.0808531i
\(667\) −7.00417 6.11038i −0.271203 0.236595i
\(668\) −15.0065 + 15.0065i −0.580620 + 0.580620i
\(669\) 6.83540 + 23.2792i 0.264272 + 0.900027i
\(670\) −13.2592 25.8551i −0.512247 0.998869i
\(671\) −3.43598 + 2.20817i −0.132645 + 0.0852455i
\(672\) 0.354994 + 0.265746i 0.0136942 + 0.0102514i
\(673\) 45.7996 9.96309i 1.76544 0.384049i 0.791560 0.611091i \(-0.209269\pi\)
0.973885 + 0.227042i \(0.0729056\pi\)
\(674\) −11.7521 + 25.7336i −0.452675 + 0.991219i
\(675\) −4.58782 1.98793i −0.176585 0.0765155i
\(676\) −1.06005 + 7.37279i −0.0407711 + 0.283569i
\(677\) −35.7477 13.3332i −1.37390 0.512436i −0.449298 0.893382i \(-0.648326\pi\)
−0.924597 + 0.380945i \(0.875599\pi\)
\(678\) 6.65376 + 12.1855i 0.255536 + 0.467980i
\(679\) 0.622505 2.12006i 0.0238895 0.0813603i
\(680\) 3.39208 0.646234i 0.130080 0.0247819i
\(681\) −19.3869 2.78742i −0.742908 0.106814i
\(682\) 0.00355982 + 0.0497728i 0.000136313 + 0.00190590i
\(683\) −6.54904 17.5586i −0.250592 0.671863i −0.999953 0.00970122i \(-0.996912\pi\)
0.749361 0.662162i \(-0.230361\pi\)
\(684\) 3.34480 + 2.14957i 0.127892 + 0.0821909i
\(685\) 31.6018 + 38.4416i 1.20744 + 1.46878i
\(686\) −3.30926 5.14932i −0.126348 0.196602i
\(687\) 3.68871 + 0.263822i 0.140733 + 0.0100654i
\(688\) −4.81931 2.63154i −0.183734 0.100327i
\(689\) 2.48193 0.0945538
\(690\) 7.35751 + 7.80173i 0.280096 + 0.297007i
\(691\) 13.4832 0.512927 0.256463 0.966554i \(-0.417443\pi\)
0.256463 + 0.966554i \(0.417443\pi\)
\(692\) −6.24580 3.41047i −0.237430 0.129646i
\(693\) 0.341186 + 0.0244021i 0.0129606 + 0.000926958i
\(694\) 4.96364 + 7.72358i 0.188417 + 0.293183i
\(695\) −18.3546 1.79234i −0.696228 0.0679875i
\(696\) −1.63045 1.04783i −0.0618021 0.0397178i
\(697\) 3.43242 + 9.20269i 0.130012 + 0.348577i
\(698\) −1.99472 27.8898i −0.0755013 1.05565i
\(699\) −19.8193 2.84958i −0.749634 0.107781i
\(700\) 1.64701 1.48439i 0.0622511 0.0561046i
\(701\) 8.53188 29.0569i 0.322245 1.09746i −0.625973 0.779844i \(-0.715298\pi\)
0.948218 0.317620i \(-0.102884\pi\)
\(702\) −2.16717 3.96888i −0.0817946 0.149796i
\(703\) −7.77308 2.89921i −0.293167 0.109346i
\(704\) −0.109777 + 0.763515i −0.00413737 + 0.0287761i
\(705\) 6.45876 4.57843i 0.243251 0.172434i
\(706\) −14.7279 + 32.2497i −0.554293 + 1.21373i
\(707\) −0.167237 + 0.0363802i −0.00628960 + 0.00136822i
\(708\) 5.64041 + 4.22236i 0.211980 + 0.158686i
\(709\) −35.0469 + 22.5233i −1.31622 + 0.845880i −0.994878 0.101084i \(-0.967769\pi\)
−0.321338 + 0.946965i \(0.604132\pi\)
\(710\) −3.16419 + 9.82581i −0.118750 + 0.368756i
\(711\) −0.645180 2.19728i −0.0241961 0.0824045i
\(712\) 0.101517 0.101517i 0.00380452 0.00380452i
\(713\) −0.202379 0.235147i −0.00757917 0.00880631i
\(714\) 0.684795i 0.0256278i
\(715\) −5.76014 5.25890i −0.215417 0.196672i
\(716\) −6.44288 7.43548i −0.240782 0.277877i
\(717\) 4.09255 + 0.890279i 0.152839 + 0.0332481i
\(718\) 13.3563 17.8420i 0.498454 0.665857i
\(719\) 4.89117 7.61081i 0.182410 0.283835i −0.737992 0.674810i \(-0.764226\pi\)
0.920401 + 0.390975i \(0.127862\pi\)
\(720\) 1.75470 + 1.38601i 0.0653939 + 0.0516535i
\(721\) 1.36526 1.57559i 0.0508449 0.0586781i
\(722\) 2.55506 1.91269i 0.0950894 0.0711830i
\(723\) 10.0506 26.9468i 0.373787 1.00216i
\(724\) −17.9481 5.27003i −0.667035 0.195859i
\(725\) −6.71728 + 6.98470i −0.249473 + 0.259405i
\(726\) −4.32239 9.46472i −0.160419 0.351269i
\(727\) −16.1846 21.6201i −0.600254 0.801846i 0.392785 0.919630i \(-0.371512\pi\)
−0.993039 + 0.117785i \(0.962421\pi\)
\(728\) 2.00015 0.143053i 0.0741304 0.00530191i
\(729\) 0.909632 + 0.415415i 0.0336901 + 0.0153857i
\(730\) 0.401606 + 0.423003i 0.0148641 + 0.0156561i
\(731\) −1.20676 8.39321i −0.0446337 0.310434i
\(732\) 1.12553 5.17396i 0.0416006 0.191235i
\(733\) −0.827583 + 11.5711i −0.0305675 + 0.427389i 0.959008 + 0.283377i \(0.0914549\pi\)
−0.989576 + 0.144012i \(0.954000\pi\)
\(734\) −22.3957 + 6.57597i −0.826641 + 0.242724i
\(735\) −7.88990 13.0068i −0.291024 0.479764i
\(736\) −2.28427 4.21688i −0.0841994 0.155436i
\(737\) 7.08773 + 7.08773i 0.261080 + 0.261080i
\(738\) −3.04815 + 5.58228i −0.112204 + 0.205486i
\(739\) −21.3676 + 18.5151i −0.786019 + 0.681090i −0.952359 0.304979i \(-0.901351\pi\)
0.166340 + 0.986068i \(0.446805\pi\)
\(740\) −4.19238 2.04765i −0.154115 0.0752731i
\(741\) 17.7964 2.55873i 0.653767 0.0939974i
\(742\) −0.0517353 0.237823i −0.00189926 0.00873077i
\(743\) 15.6423 5.83428i 0.573861 0.214039i −0.0457437 0.998953i \(-0.514566\pi\)
0.619604 + 0.784914i \(0.287293\pi\)
\(744\) −0.0488897 0.0423632i −0.00179238 0.00155311i
\(745\) −2.44020 + 6.05768i −0.0894021 + 0.221936i
\(746\) −32.2578 + 14.7316i −1.18104 + 0.539364i
\(747\) 1.25625 0.685963i 0.0459637 0.0250981i
\(748\) −1.04549 + 0.570880i −0.0382268 + 0.0208734i
\(749\) −4.58928 + 2.09585i −0.167689 + 0.0765808i
\(750\) 8.49643 7.26710i 0.310246 0.265357i
\(751\) −9.84303 8.52904i −0.359177 0.311229i 0.456514 0.889716i \(-0.349098\pi\)
−0.815691 + 0.578487i \(0.803643\pi\)
\(752\) −3.31732 + 1.23730i −0.120970 + 0.0451196i
\(753\) −1.68818 7.76044i −0.0615207 0.282806i
\(754\) −8.67500 + 1.24728i −0.315925 + 0.0454231i
\(755\) 30.3887 10.4448i 1.10596 0.380124i
\(756\) −0.335132 + 0.290393i −0.0121886 + 0.0105615i
\(757\) −10.0009 + 18.3152i −0.363487 + 0.665677i −0.993864 0.110613i \(-0.964719\pi\)
0.630376 + 0.776290i \(0.282901\pi\)
\(758\) 8.03506 + 8.03506i 0.291847 + 0.291847i
\(759\) −3.24087 1.78378i −0.117636 0.0647472i
\(760\) −7.60136 + 4.61096i −0.275730 + 0.167257i
\(761\) 16.5681 4.86483i 0.600593 0.176350i 0.0327177 0.999465i \(-0.489584\pi\)
0.567875 + 0.823115i \(0.307766\pi\)
\(762\) 1.24580 17.4185i 0.0451305 0.631007i
\(763\) −0.392201 + 1.80292i −0.0141986 + 0.0652700i
\(764\) 3.67636 + 25.5697i 0.133006 + 0.925078i
\(765\) −0.0895725 + 3.45193i −0.00323850 + 0.124805i
\(766\) −15.1773 6.93124i −0.548378 0.250436i
\(767\) 31.7798 2.27293i 1.14750 0.0820709i
\(768\) −0.599278 0.800541i −0.0216246 0.0288870i
\(769\) −8.38574 18.3622i −0.302398 0.662158i 0.696042 0.718001i \(-0.254943\pi\)
−0.998440 + 0.0558428i \(0.982215\pi\)
\(770\) −0.383850 + 0.661570i −0.0138330 + 0.0238413i
\(771\) −10.8829 3.19551i −0.391938 0.115083i
\(772\) −4.67432 + 12.5323i −0.168232 + 0.451049i