Properties

Label 483.2.y.a.340.7
Level $483$
Weight $2$
Character 483.340
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 340.7
Character \(\chi\) \(=\) 483.340
Dual form 483.2.y.a.331.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0240647 - 0.0991961i) q^{2} +(0.327068 + 0.945001i) q^{3} +(1.76841 - 0.911679i) q^{4} +(-2.72932 + 1.09266i) q^{5} +(0.0858696 - 0.0551850i) q^{6} +(-0.0983016 + 2.64392i) q^{7} +(-0.266679 - 0.307764i) q^{8} +(-0.786053 + 0.618159i) q^{9} +O(q^{10})\) \(q+(-0.0240647 - 0.0991961i) q^{2} +(0.327068 + 0.945001i) q^{3} +(1.76841 - 0.911679i) q^{4} +(-2.72932 + 1.09266i) q^{5} +(0.0858696 - 0.0551850i) q^{6} +(-0.0983016 + 2.64392i) q^{7} +(-0.266679 - 0.307764i) q^{8} +(-0.786053 + 0.618159i) q^{9} +(0.174068 + 0.244444i) q^{10} +(-0.169965 + 0.700603i) q^{11} +(1.43993 + 1.37297i) q^{12} +(-0.589314 + 1.29042i) q^{13} +(0.264633 - 0.0538741i) q^{14} +(-1.92524 - 2.22184i) q^{15} +(2.28403 - 3.20747i) q^{16} +(0.239911 + 5.03635i) q^{17} +(0.0802351 + 0.0630976i) q^{18} +(-0.191297 + 4.01581i) q^{19} +(-3.83041 + 4.42053i) q^{20} +(-2.53066 + 0.771848i) q^{21} +0.0735873 q^{22} +(-4.70641 + 0.921816i) q^{23} +(0.203615 - 0.352672i) q^{24} +(2.63664 - 2.51403i) q^{25} +(0.142186 + 0.0274041i) q^{26} +(-0.841254 - 0.540641i) q^{27} +(2.23657 + 4.76516i) q^{28} +(1.87064 - 1.20219i) q^{29} +(-0.174068 + 0.244444i) q^{30} +(9.14480 - 1.76252i) q^{31} +(-1.12925 - 0.452084i) q^{32} +(-0.717661 + 0.0685283i) q^{33} +(0.493813 - 0.144997i) q^{34} +(-2.62060 - 7.32353i) q^{35} +(-0.826502 + 1.80979i) q^{36} +(0.290668 - 0.228584i) q^{37} +(0.402956 - 0.0776635i) q^{38} +(-1.41219 - 0.134848i) q^{39} +(1.06413 + 0.548599i) q^{40} +(0.912464 - 6.34633i) q^{41} +(0.137464 + 0.232457i) q^{42} +(-2.97097 + 3.42868i) q^{43} +(0.338158 + 1.39391i) q^{44} +(1.46996 - 2.54604i) q^{45} +(0.204699 + 0.444674i) q^{46} +(3.35673 + 5.81403i) q^{47} +(3.77809 + 1.10935i) q^{48} +(-6.98067 - 0.519804i) q^{49} +(-0.312832 - 0.201045i) q^{50} +(-4.68089 + 1.87395i) q^{51} +(0.134297 + 2.81925i) q^{52} +(-0.806132 - 0.0769763i) q^{53} +(-0.0333849 + 0.0964594i) q^{54} +(-0.301630 - 2.09789i) q^{55} +(0.839919 - 0.674825i) q^{56} +(-3.85751 + 1.13267i) q^{57} +(-0.164269 - 0.156630i) q^{58} +(1.19972 + 1.68478i) q^{59} +(-5.43021 - 2.17393i) q^{60} +(-0.362372 + 1.04701i) q^{61} +(-0.394902 - 0.864714i) q^{62} +(-1.55710 - 2.13903i) q^{63} +(1.10309 - 7.67213i) q^{64} +(0.198445 - 4.16588i) q^{65} +(0.0240680 + 0.0695400i) q^{66} +(11.3630 - 10.8346i) q^{67} +(5.01580 + 8.68762i) q^{68} +(-2.41043 - 4.14606i) q^{69} +(-0.663402 + 0.436192i) q^{70} +(6.10207 + 1.79173i) q^{71} +(0.399871 + 0.0770688i) q^{72} +(-9.02171 + 4.65101i) q^{73} +(-0.0296695 - 0.0233324i) q^{74} +(3.23812 + 1.66937i) q^{75} +(3.32284 + 7.27600i) q^{76} +(-1.83563 - 0.518244i) q^{77} +(0.0206076 + 0.143329i) q^{78} +(6.19592 - 0.591639i) q^{79} +(-2.72919 + 11.2499i) q^{80} +(0.235759 - 0.971812i) q^{81} +(-0.651489 + 0.0622097i) q^{82} +(-1.33901 - 9.31299i) q^{83} +(-3.77157 + 3.67209i) q^{84} +(-6.15780 - 13.4837i) q^{85} +(0.411607 + 0.212198i) q^{86} +(1.74790 + 1.37456i) q^{87} +(0.260946 - 0.134527i) q^{88} +(14.4161 + 2.77847i) q^{89} +(-0.287931 - 0.0845443i) q^{90} +(-3.35383 - 1.68495i) q^{91} +(-7.48246 + 5.92088i) q^{92} +(4.65655 + 8.06538i) q^{93} +(0.495950 - 0.472888i) q^{94} +(-3.86579 - 11.1695i) q^{95} +(0.0578779 - 1.21501i) q^{96} +(-0.205304 + 1.42792i) q^{97} +(0.116425 + 0.704964i) q^{98} +(-0.299483 - 0.655777i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{6}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0240647 0.0991961i −0.0170163 0.0701422i 0.962670 0.270676i \(-0.0872474\pi\)
−0.979687 + 0.200534i \(0.935732\pi\)
\(3\) 0.327068 + 0.945001i 0.188833 + 0.545596i
\(4\) 1.76841 0.911679i 0.884205 0.455839i
\(5\) −2.72932 + 1.09266i −1.22059 + 0.488651i −0.890363 0.455251i \(-0.849550\pi\)
−0.330227 + 0.943901i \(0.607125\pi\)
\(6\) 0.0858696 0.0551850i 0.0350561 0.0225292i
\(7\) −0.0983016 + 2.64392i −0.0371545 + 0.999310i
\(8\) −0.266679 0.307764i −0.0942852 0.108811i
\(9\) −0.786053 + 0.618159i −0.262018 + 0.206053i
\(10\) 0.174068 + 0.244444i 0.0550450 + 0.0772999i
\(11\) −0.169965 + 0.700603i −0.0512462 + 0.211240i −0.991678 0.128742i \(-0.958906\pi\)
0.940432 + 0.339982i \(0.110421\pi\)
\(12\) 1.43993 + 1.37297i 0.415671 + 0.396342i
\(13\) −0.589314 + 1.29042i −0.163446 + 0.357897i −0.973579 0.228349i \(-0.926667\pi\)
0.810133 + 0.586246i \(0.199395\pi\)
\(14\) 0.264633 0.0538741i 0.0707260 0.0143985i
\(15\) −1.92524 2.22184i −0.497094 0.573677i
\(16\) 2.28403 3.20747i 0.571007 0.801867i
\(17\) 0.239911 + 5.03635i 0.0581870 + 1.22150i 0.819488 + 0.573096i \(0.194258\pi\)
−0.761301 + 0.648399i \(0.775439\pi\)
\(18\) 0.0802351 + 0.0630976i 0.0189116 + 0.0148722i
\(19\) −0.191297 + 4.01581i −0.0438865 + 0.921290i 0.864365 + 0.502865i \(0.167721\pi\)
−0.908251 + 0.418425i \(0.862582\pi\)
\(20\) −3.83041 + 4.42053i −0.856506 + 0.988461i
\(21\) −2.53066 + 0.771848i −0.552236 + 0.168431i
\(22\) 0.0735873 0.0156889
\(23\) −4.70641 + 0.921816i −0.981353 + 0.192212i
\(24\) 0.203615 0.352672i 0.0415627 0.0719888i
\(25\) 2.63664 2.51403i 0.527327 0.502806i
\(26\) 0.142186 + 0.0274041i 0.0278850 + 0.00537439i
\(27\) −0.841254 0.540641i −0.161899 0.104046i
\(28\) 2.23657 + 4.76516i 0.422672 + 0.900531i
\(29\) 1.87064 1.20219i 0.347369 0.223241i −0.355308 0.934749i \(-0.615624\pi\)
0.702678 + 0.711508i \(0.251988\pi\)
\(30\) −0.174068 + 0.244444i −0.0317802 + 0.0446291i
\(31\) 9.14480 1.76252i 1.64246 0.316557i 0.717478 0.696581i \(-0.245296\pi\)
0.924977 + 0.380024i \(0.124084\pi\)
\(32\) −1.12925 0.452084i −0.199625 0.0799179i
\(33\) −0.717661 + 0.0685283i −0.124929 + 0.0119292i
\(34\) 0.493813 0.144997i 0.0846883 0.0248667i
\(35\) −2.62060 7.32353i −0.442963 1.23790i
\(36\) −0.826502 + 1.80979i −0.137750 + 0.301631i
\(37\) 0.290668 0.228584i 0.0477856 0.0375790i −0.593981 0.804479i \(-0.702444\pi\)
0.641766 + 0.766900i \(0.278202\pi\)
\(38\) 0.402956 0.0776635i 0.0653681 0.0125987i
\(39\) −1.41219 0.134848i −0.226131 0.0215929i
\(40\) 1.06413 + 0.548599i 0.168254 + 0.0867411i
\(41\) 0.912464 6.34633i 0.142503 0.991130i −0.785581 0.618759i \(-0.787636\pi\)
0.928084 0.372371i \(-0.121455\pi\)
\(42\) 0.137464 + 0.232457i 0.0212111 + 0.0358690i
\(43\) −2.97097 + 3.42868i −0.453068 + 0.522868i −0.935625 0.352996i \(-0.885163\pi\)
0.482557 + 0.875865i \(0.339708\pi\)
\(44\) 0.338158 + 1.39391i 0.0509793 + 0.210139i
\(45\) 1.46996 2.54604i 0.219128 0.379541i
\(46\) 0.204699 + 0.444674i 0.0301812 + 0.0655636i
\(47\) 3.35673 + 5.81403i 0.489630 + 0.848064i 0.999929 0.0119334i \(-0.00379861\pi\)
−0.510299 + 0.859997i \(0.670465\pi\)
\(48\) 3.77809 + 1.10935i 0.545321 + 0.160121i
\(49\) −6.98067 0.519804i −0.997239 0.0742577i
\(50\) −0.312832 0.201045i −0.0442411 0.0284320i
\(51\) −4.68089 + 1.87395i −0.655456 + 0.262405i
\(52\) 0.134297 + 2.81925i 0.0186237 + 0.390960i
\(53\) −0.806132 0.0769763i −0.110731 0.0105735i 0.0395435 0.999218i \(-0.487410\pi\)
−0.150274 + 0.988644i \(0.548016\pi\)
\(54\) −0.0333849 + 0.0964594i −0.00454311 + 0.0131265i
\(55\) −0.301630 2.09789i −0.0406718 0.282879i
\(56\) 0.839919 0.674825i 0.112239 0.0901773i
\(57\) −3.85751 + 1.13267i −0.510940 + 0.150026i
\(58\) −0.164269 0.156630i −0.0215696 0.0205665i
\(59\) 1.19972 + 1.68478i 0.156191 + 0.219339i 0.885255 0.465106i \(-0.153984\pi\)
−0.729064 + 0.684445i \(0.760044\pi\)
\(60\) −5.43021 2.17393i −0.701037 0.280653i
\(61\) −0.362372 + 1.04701i −0.0463970 + 0.134055i −0.965819 0.259217i \(-0.916536\pi\)
0.919422 + 0.393272i \(0.128657\pi\)
\(62\) −0.394902 0.864714i −0.0501526 0.109819i
\(63\) −1.55710 2.13903i −0.196176 0.269493i
\(64\) 1.10309 7.67213i 0.137886 0.959017i
\(65\) 0.198445 4.16588i 0.0246141 0.516714i
\(66\) 0.0240680 + 0.0695400i 0.00296257 + 0.00855979i
\(67\) 11.3630 10.8346i 1.38822 1.32366i 0.498689 0.866781i \(-0.333815\pi\)
0.889528 0.456881i \(-0.151034\pi\)
\(68\) 5.01580 + 8.68762i 0.608255 + 1.05353i
\(69\) −2.41043 4.14606i −0.290182 0.499127i
\(70\) −0.663402 + 0.436192i −0.0792917 + 0.0521350i
\(71\) 6.10207 + 1.79173i 0.724182 + 0.212639i 0.622992 0.782228i \(-0.285917\pi\)
0.101190 + 0.994867i \(0.467735\pi\)
\(72\) 0.399871 + 0.0770688i 0.0471252 + 0.00908264i
\(73\) −9.02171 + 4.65101i −1.05591 + 0.544360i −0.896588 0.442867i \(-0.853962\pi\)
−0.159323 + 0.987226i \(0.550931\pi\)
\(74\) −0.0296695 0.0233324i −0.00344901 0.00271233i
\(75\) 3.23812 + 1.66937i 0.373906 + 0.192762i
\(76\) 3.32284 + 7.27600i 0.381156 + 0.834615i
\(77\) −1.83563 0.518244i −0.209190 0.0590594i
\(78\) 0.0206076 + 0.143329i 0.00233335 + 0.0162288i
\(79\) 6.19592 0.591639i 0.697096 0.0665646i 0.259509 0.965741i \(-0.416439\pi\)
0.437587 + 0.899176i \(0.355833\pi\)
\(80\) −2.72919 + 11.2499i −0.305133 + 1.25777i
\(81\) 0.235759 0.971812i 0.0261954 0.107979i
\(82\) −0.651489 + 0.0622097i −0.0719449 + 0.00686991i
\(83\) −1.33901 9.31299i −0.146975 1.02223i −0.921135 0.389244i \(-0.872736\pi\)
0.774160 0.632990i \(-0.218173\pi\)
\(84\) −3.77157 + 3.67209i −0.411512 + 0.400658i
\(85\) −6.15780 13.4837i −0.667907 1.46251i
\(86\) 0.411607 + 0.212198i 0.0443847 + 0.0228819i
\(87\) 1.74790 + 1.37456i 0.187394 + 0.147368i
\(88\) 0.260946 0.134527i 0.0278170 0.0143406i
\(89\) 14.4161 + 2.77847i 1.52810 + 0.294517i 0.882924 0.469516i \(-0.155571\pi\)
0.645177 + 0.764033i \(0.276784\pi\)
\(90\) −0.287931 0.0845443i −0.0303506 0.00891175i
\(91\) −3.35383 1.68495i −0.351577 0.176631i
\(92\) −7.48246 + 5.92088i −0.780100 + 0.617294i
\(93\) 4.65655 + 8.06538i 0.482862 + 0.836341i
\(94\) 0.495950 0.472888i 0.0511534 0.0487746i
\(95\) −3.86579 11.1695i −0.396622 1.14596i
\(96\) 0.0578779 1.21501i 0.00590713 0.124006i
\(97\) −0.205304 + 1.42792i −0.0208455 + 0.144984i −0.997586 0.0694409i \(-0.977878\pi\)
0.976741 + 0.214424i \(0.0687876\pi\)
\(98\) 0.116425 + 0.704964i 0.0117607 + 0.0712122i
\(99\) −0.299483 0.655777i −0.0300992 0.0659080i
\(100\) 2.37067 6.84960i 0.237067 0.684960i
\(101\) −14.3079 5.72804i −1.42369 0.569961i −0.473270 0.880918i \(-0.656926\pi\)
−0.950424 + 0.310957i \(0.899351\pi\)
\(102\) 0.298532 + 0.419230i 0.0295591 + 0.0415100i
\(103\) −7.41378 7.06902i −0.730501 0.696532i 0.230501 0.973072i \(-0.425964\pi\)
−0.961002 + 0.276540i \(0.910812\pi\)
\(104\) 0.554301 0.162758i 0.0543537 0.0159597i
\(105\) 6.06363 4.87177i 0.591750 0.475436i
\(106\) 0.0117636 + 0.0818175i 0.00114258 + 0.00794682i
\(107\) 3.15209 9.10737i 0.304724 0.880442i −0.683839 0.729633i \(-0.739691\pi\)
0.988563 0.150809i \(-0.0481879\pi\)
\(108\) −1.98057 0.189122i −0.190581 0.0181982i
\(109\) −0.216645 4.54793i −0.0207508 0.435613i −0.985207 0.171369i \(-0.945181\pi\)
0.964456 0.264243i \(-0.0851222\pi\)
\(110\) −0.200843 + 0.0804056i −0.0191497 + 0.00766637i
\(111\) 0.311080 + 0.199919i 0.0295265 + 0.0189755i
\(112\) 8.25578 + 6.35410i 0.780098 + 0.600406i
\(113\) 15.5223 + 4.55775i 1.46021 + 0.428757i 0.912904 0.408174i \(-0.133834\pi\)
0.547308 + 0.836931i \(0.315653\pi\)
\(114\) 0.205186 + 0.355393i 0.0192174 + 0.0332856i
\(115\) 11.8381 7.65842i 1.10391 0.714151i
\(116\) 2.21205 3.83139i 0.205384 0.355735i
\(117\) −0.334451 1.37863i −0.0309200 0.127454i
\(118\) 0.138252 0.159552i 0.0127271 0.0146879i
\(119\) −13.3393 + 0.139225i −1.22281 + 0.0127627i
\(120\) −0.170382 + 1.18504i −0.0155537 + 0.108178i
\(121\) 9.31523 + 4.80234i 0.846839 + 0.436576i
\(122\) 0.112579 + 0.0107500i 0.0101925 + 0.000973261i
\(123\) 6.29572 1.21340i 0.567666 0.109409i
\(124\) 14.5649 11.4540i 1.30797 1.02860i
\(125\) 1.65716 3.62867i 0.148221 0.324558i
\(126\) −0.174712 + 0.205933i −0.0155646 + 0.0183460i
\(127\) −7.42363 + 2.17977i −0.658740 + 0.193424i −0.593983 0.804477i \(-0.702445\pi\)
−0.0647571 + 0.997901i \(0.520627\pi\)
\(128\) −3.20934 + 0.306455i −0.283668 + 0.0270871i
\(129\) −4.21181 1.68615i −0.370829 0.148458i
\(130\) −0.418015 + 0.0805657i −0.0366623 + 0.00706608i
\(131\) −0.198299 + 0.278472i −0.0173255 + 0.0243303i −0.823148 0.567827i \(-0.807784\pi\)
0.805822 + 0.592157i \(0.201724\pi\)
\(132\) −1.20664 + 0.775462i −0.105025 + 0.0674953i
\(133\) −10.5987 0.900535i −0.919024 0.0780863i
\(134\) −1.34820 0.866437i −0.116467 0.0748488i
\(135\) 2.88679 + 0.556383i 0.248455 + 0.0478858i
\(136\) 1.48603 1.41693i 0.127426 0.121500i
\(137\) 5.58597 9.67518i 0.477242 0.826607i −0.522418 0.852689i \(-0.674970\pi\)
0.999660 + 0.0260828i \(0.00830335\pi\)
\(138\) −0.353267 + 0.338879i −0.0300721 + 0.0288473i
\(139\) 15.8178 1.34164 0.670822 0.741618i \(-0.265941\pi\)
0.670822 + 0.741618i \(0.265941\pi\)
\(140\) −11.3110 10.5619i −0.955955 0.892640i
\(141\) −4.39638 + 5.07370i −0.370242 + 0.427282i
\(142\) 0.0308880 0.648419i 0.00259206 0.0544141i
\(143\) −0.803908 0.632200i −0.0672262 0.0528672i
\(144\) 0.187358 + 3.93313i 0.0156132 + 0.327761i
\(145\) −3.79201 + 5.32513i −0.314909 + 0.442228i
\(146\) 0.678467 + 0.782993i 0.0561503 + 0.0648009i
\(147\) −1.79194 6.76675i −0.147797 0.558112i
\(148\) 0.305626 0.669227i 0.0251223 0.0550101i
\(149\) −0.184176 0.175612i −0.0150883 0.0143867i 0.682497 0.730888i \(-0.260894\pi\)
−0.697586 + 0.716501i \(0.745742\pi\)
\(150\) 0.0876702 0.361381i 0.00715824 0.0295067i
\(151\) −12.8477 18.0420i −1.04553 1.46824i −0.875754 0.482758i \(-0.839635\pi\)
−0.169776 0.985483i \(-0.554304\pi\)
\(152\) 1.28694 1.01206i 0.104384 0.0820887i
\(153\) −3.30185 3.81054i −0.266939 0.308064i
\(154\) −0.00723375 + 0.194559i −0.000582912 + 0.0156780i
\(155\) −23.0333 + 14.8026i −1.85008 + 1.18897i
\(156\) −2.62027 + 1.04900i −0.209790 + 0.0839871i
\(157\) −14.8119 + 7.63604i −1.18211 + 0.609422i −0.933289 0.359126i \(-0.883075\pi\)
−0.248825 + 0.968548i \(0.580045\pi\)
\(158\) −0.207791 0.600374i −0.0165310 0.0477632i
\(159\) −0.190917 0.786972i −0.0151407 0.0624109i
\(160\) 3.57606 0.282713
\(161\) −1.97457 12.5340i −0.155618 0.987817i
\(162\) −0.102073 −0.00801964
\(163\) 1.77644 + 7.32259i 0.139142 + 0.573549i 0.998106 + 0.0615145i \(0.0195930\pi\)
−0.858965 + 0.512035i \(0.828892\pi\)
\(164\) −4.17220 12.0548i −0.325794 0.941320i
\(165\) 1.88385 0.971192i 0.146658 0.0756072i
\(166\) −0.891590 + 0.356939i −0.0692008 + 0.0277038i
\(167\) 2.80813 1.80467i 0.217299 0.139650i −0.427463 0.904033i \(-0.640593\pi\)
0.644762 + 0.764383i \(0.276956\pi\)
\(168\) 0.912421 + 0.573011i 0.0703948 + 0.0442087i
\(169\) 7.19530 + 8.30382i 0.553485 + 0.638756i
\(170\) −1.18934 + 0.935311i −0.0912185 + 0.0717350i
\(171\) −2.33204 3.27489i −0.178336 0.250437i
\(172\) −2.12803 + 8.77187i −0.162261 + 0.668849i
\(173\) 0.317475 + 0.302712i 0.0241372 + 0.0230147i 0.702052 0.712126i \(-0.252268\pi\)
−0.677914 + 0.735141i \(0.737116\pi\)
\(174\) 0.0942884 0.206463i 0.00714799 0.0156519i
\(175\) 6.38772 + 7.21820i 0.482866 + 0.545645i
\(176\) 1.85896 + 2.14535i 0.140124 + 0.161712i
\(177\) −1.19972 + 1.68478i −0.0901768 + 0.126636i
\(178\) −0.0713053 1.49688i −0.00534456 0.112196i
\(179\) 8.34326 + 6.56121i 0.623605 + 0.490408i 0.879249 0.476363i \(-0.158045\pi\)
−0.255644 + 0.966771i \(0.582288\pi\)
\(180\) 0.278316 5.84257i 0.0207445 0.435480i
\(181\) 5.46645 6.30862i 0.406318 0.468916i −0.515302 0.857008i \(-0.672320\pi\)
0.921620 + 0.388092i \(0.126866\pi\)
\(182\) −0.0864315 + 0.373235i −0.00640673 + 0.0276660i
\(183\) −1.10794 −0.0819014
\(184\) 1.53880 + 1.20263i 0.113442 + 0.0886593i
\(185\) −0.543564 + 0.941480i −0.0399636 + 0.0692190i
\(186\) 0.687996 0.656003i 0.0504463 0.0481005i
\(187\) −3.56926 0.687919i −0.261010 0.0503056i
\(188\) 11.2366 + 7.22133i 0.819514 + 0.526670i
\(189\) 1.51211 2.17106i 0.109990 0.157922i
\(190\) −1.01494 + 0.652261i −0.0736314 + 0.0473200i
\(191\) −13.6349 + 19.1475i −0.986587 + 1.38547i −0.0647443 + 0.997902i \(0.520623\pi\)
−0.921842 + 0.387565i \(0.873316\pi\)
\(192\) 7.61096 1.46689i 0.549274 0.105864i
\(193\) 16.2797 + 6.51739i 1.17184 + 0.469132i 0.874209 0.485550i \(-0.161381\pi\)
0.297627 + 0.954682i \(0.403805\pi\)
\(194\) 0.146585 0.0139972i 0.0105242 0.00100494i
\(195\) 4.00167 1.17500i 0.286565 0.0841432i
\(196\) −12.8186 + 5.44491i −0.915613 + 0.388922i
\(197\) −7.26017 + 15.8976i −0.517266 + 1.13265i 0.453199 + 0.891410i \(0.350283\pi\)
−0.970464 + 0.241245i \(0.922444\pi\)
\(198\) −0.0578435 + 0.0454886i −0.00411076 + 0.00323274i
\(199\) −11.4239 + 2.20178i −0.809821 + 0.156080i −0.577322 0.816516i \(-0.695902\pi\)
−0.232499 + 0.972597i \(0.574690\pi\)
\(200\) −1.47686 0.141023i −0.104430 0.00997185i
\(201\) 13.9552 + 7.19442i 0.984326 + 0.507455i
\(202\) −0.223882 + 1.55714i −0.0157523 + 0.109560i
\(203\) 2.99461 + 5.06401i 0.210180 + 0.355424i
\(204\) −6.56930 + 7.58137i −0.459943 + 0.530802i
\(205\) 4.44394 + 18.3182i 0.310379 + 1.27940i
\(206\) −0.522809 + 0.905532i −0.0364258 + 0.0630914i
\(207\) 3.12966 3.63390i 0.217526 0.252574i
\(208\) 2.79296 + 4.83756i 0.193657 + 0.335424i
\(209\) −2.78098 0.816569i −0.192364 0.0564832i
\(210\) −0.629180 0.484251i −0.0434175 0.0334165i
\(211\) −6.70908 4.31166i −0.461872 0.296827i 0.288935 0.957349i \(-0.406699\pi\)
−0.750807 + 0.660521i \(0.770335\pi\)
\(212\) −1.49575 + 0.598808i −0.102728 + 0.0411263i
\(213\) 0.302606 + 6.35248i 0.0207342 + 0.435265i
\(214\) −0.979269 0.0935089i −0.0669415 0.00639213i
\(215\) 4.36236 12.6042i 0.297511 0.859600i
\(216\) 0.0579549 + 0.403085i 0.00394333 + 0.0274265i
\(217\) 3.76101 + 24.3514i 0.255314 + 1.65308i
\(218\) −0.445923 + 0.130935i −0.0302017 + 0.00886803i
\(219\) −7.34592 7.00432i −0.496391 0.473308i
\(220\) −2.44600 3.43493i −0.164910 0.231583i
\(221\) −6.64038 2.65841i −0.446680 0.178824i
\(222\) 0.0123451 0.0356690i 0.000828552 0.00239394i
\(223\) 4.65185 + 10.1861i 0.311511 + 0.682114i 0.999029 0.0440530i \(-0.0140270\pi\)
−0.687518 + 0.726167i \(0.741300\pi\)
\(224\) 1.30628 2.94122i 0.0872797 0.196518i
\(225\) −0.518467 + 3.60602i −0.0345645 + 0.240401i
\(226\) 0.0785720 1.64943i 0.00522653 0.109718i
\(227\) 6.67780 + 19.2942i 0.443221 + 1.28060i 0.916622 + 0.399756i \(0.130905\pi\)
−0.473400 + 0.880847i \(0.656974\pi\)
\(228\) −5.78903 + 5.51983i −0.383388 + 0.365560i
\(229\) 3.16157 + 5.47600i 0.208922 + 0.361864i 0.951375 0.308034i \(-0.0996710\pi\)
−0.742453 + 0.669898i \(0.766338\pi\)
\(230\) −1.04456 0.989993i −0.0688766 0.0652782i
\(231\) −0.110636 1.90418i −0.00727934 0.125286i
\(232\) −0.868851 0.255118i −0.0570429 0.0167493i
\(233\) 21.5965 + 4.16238i 1.41483 + 0.272686i 0.838666 0.544647i \(-0.183336\pi\)
0.576166 + 0.817333i \(0.304548\pi\)
\(234\) −0.128706 + 0.0663525i −0.00841376 + 0.00433760i
\(235\) −15.5143 12.2006i −1.01204 0.795880i
\(236\) 3.65758 + 1.88561i 0.238088 + 0.122743i
\(237\) 2.58559 + 5.66165i 0.167952 + 0.367763i
\(238\) 0.334817 + 1.31986i 0.0217030 + 0.0855537i
\(239\) −1.72550 12.0011i −0.111614 0.776289i −0.966351 0.257228i \(-0.917191\pi\)
0.854737 0.519061i \(-0.173718\pi\)
\(240\) −11.5238 + 1.10039i −0.743857 + 0.0710297i
\(241\) −2.77110 + 11.4226i −0.178502 + 0.735797i 0.810231 + 0.586111i \(0.199342\pi\)
−0.988734 + 0.149687i \(0.952174\pi\)
\(242\) 0.252205 1.03960i 0.0162123 0.0668281i
\(243\) 0.995472 0.0950560i 0.0638596 0.00609785i
\(244\) 0.313710 + 2.18190i 0.0200832 + 0.139682i
\(245\) 19.6205 6.20876i 1.25351 0.396663i
\(246\) −0.271869 0.595311i −0.0173338 0.0379556i
\(247\) −5.06934 2.61342i −0.322554 0.166288i
\(248\) −2.98117 2.34441i −0.189304 0.148870i
\(249\) 8.36284 4.31134i 0.529973 0.273220i
\(250\) −0.399829 0.0770607i −0.0252874 0.00487375i
\(251\) −10.9164 3.20533i −0.689034 0.202319i −0.0815723 0.996667i \(-0.525994\pi\)
−0.607462 + 0.794349i \(0.707812\pi\)
\(252\) −4.70369 2.36311i −0.296305 0.148862i
\(253\) 0.154095 3.45400i 0.00968784 0.217151i
\(254\) 0.394872 + 0.683939i 0.0247765 + 0.0429142i
\(255\) 10.7281 10.2292i 0.671819 0.640578i
\(256\) −4.96260 14.3385i −0.310162 0.896155i
\(257\) 0.158398 3.32518i 0.00988058 0.207419i −0.988529 0.151034i \(-0.951740\pi\)
0.998409 0.0563847i \(-0.0179573\pi\)
\(258\) −0.0659039 + 0.458372i −0.00410300 + 0.0285370i
\(259\) 0.575786 + 0.790975i 0.0357776 + 0.0491488i
\(260\) −3.44701 7.54791i −0.213775 0.468101i
\(261\) −0.727280 + 2.10134i −0.0450175 + 0.130070i
\(262\) 0.0323954 + 0.0129692i 0.00200139 + 0.000801237i
\(263\) 7.75773 + 10.8942i 0.478362 + 0.671765i 0.981284 0.192566i \(-0.0616811\pi\)
−0.502922 + 0.864332i \(0.667742\pi\)
\(264\) 0.212476 + 0.202595i 0.0130770 + 0.0124689i
\(265\) 2.28430 0.670732i 0.140324 0.0412027i
\(266\) 0.165725 + 1.07302i 0.0101613 + 0.0657911i
\(267\) 2.08938 + 14.5320i 0.127868 + 0.889341i
\(268\) 10.2168 29.5195i 0.624091 1.80319i
\(269\) 19.5083 + 1.86282i 1.18944 + 0.113578i 0.670949 0.741503i \(-0.265887\pi\)
0.518494 + 0.855081i \(0.326493\pi\)
\(270\) −0.0142787 0.299747i −0.000868975 0.0182420i
\(271\) −24.9440 + 9.98608i −1.51524 + 0.606611i −0.972420 0.233238i \(-0.925068\pi\)
−0.542821 + 0.839848i \(0.682644\pi\)
\(272\) 16.7019 + 10.7337i 1.01270 + 0.650824i
\(273\) 0.495348 3.72047i 0.0299798 0.225173i
\(274\) −1.09416 0.321276i −0.0661009 0.0194090i
\(275\) 1.31320 + 2.27453i 0.0791891 + 0.137159i
\(276\) −8.04251 5.13440i −0.484102 0.309054i
\(277\) −5.95233 + 10.3097i −0.357641 + 0.619452i −0.987566 0.157203i \(-0.949752\pi\)
0.629925 + 0.776656i \(0.283085\pi\)
\(278\) −0.380650 1.56906i −0.0228298 0.0941059i
\(279\) −6.09879 + 7.03837i −0.365125 + 0.421376i
\(280\) −1.55506 + 2.75956i −0.0929326 + 0.164915i
\(281\) −2.13410 + 14.8430i −0.127310 + 0.885460i 0.821634 + 0.570015i \(0.193063\pi\)
−0.948944 + 0.315445i \(0.897846\pi\)
\(282\) 0.609089 + 0.314007i 0.0362707 + 0.0186988i
\(283\) 4.10660 + 0.392132i 0.244112 + 0.0233099i 0.216395 0.976306i \(-0.430570\pi\)
0.0277171 + 0.999616i \(0.491176\pi\)
\(284\) 12.4244 2.39462i 0.737255 0.142094i
\(285\) 9.29078 7.30635i 0.550338 0.432791i
\(286\) −0.0433660 + 0.0949582i −0.00256428 + 0.00561500i
\(287\) 16.6895 + 3.03634i 0.985151 + 0.179230i
\(288\) 1.16711 0.342695i 0.0687727 0.0201935i
\(289\) −8.38427 + 0.800601i −0.493193 + 0.0470942i
\(290\) 0.619486 + 0.248005i 0.0363774 + 0.0145633i
\(291\) −1.41654 + 0.273015i −0.0830388 + 0.0160044i
\(292\) −11.7138 + 16.4498i −0.685501 + 0.962652i
\(293\) 1.02416 0.658190i 0.0598323 0.0384519i −0.510383 0.859947i \(-0.670496\pi\)
0.570215 + 0.821495i \(0.306860\pi\)
\(294\) −0.628113 + 0.340593i −0.0366323 + 0.0198638i
\(295\) −5.11531 3.28741i −0.297825 0.191401i
\(296\) −0.147865 0.0284987i −0.00859448 0.00165645i
\(297\) 0.521758 0.497495i 0.0302755 0.0288676i
\(298\) −0.0129878 + 0.0224956i −0.000752365 + 0.00130313i
\(299\) 1.58402 6.61646i 0.0916064 0.382640i
\(300\) 7.24825 0.418478
\(301\) −8.77311 8.19205i −0.505674 0.472182i
\(302\) −1.48052 + 1.70862i −0.0851946 + 0.0983198i
\(303\) 0.733329 15.3945i 0.0421287 0.884390i
\(304\) 12.4437 + 9.78581i 0.713693 + 0.561255i
\(305\) −0.154986 3.25357i −0.00887450 0.186299i
\(306\) −0.298532 + 0.419230i −0.0170660 + 0.0239658i
\(307\) −20.4648 23.6176i −1.16799 1.34793i −0.925943 0.377662i \(-0.876728\pi\)
−0.242043 0.970266i \(-0.577817\pi\)
\(308\) −3.71863 + 0.757042i −0.211888 + 0.0431364i
\(309\) 4.25542 9.31808i 0.242083 0.530087i
\(310\) 2.02265 + 1.92859i 0.114879 + 0.109537i
\(311\) 4.90703 20.2271i 0.278252 1.14697i −0.645432 0.763817i \(-0.723323\pi\)
0.923685 0.383154i \(-0.125162\pi\)
\(312\) 0.335100 + 0.470582i 0.0189713 + 0.0266415i
\(313\) −24.4775 + 19.2493i −1.38355 + 1.08804i −0.398238 + 0.917282i \(0.630378\pi\)
−0.985313 + 0.170755i \(0.945379\pi\)
\(314\) 1.11391 + 1.28552i 0.0628615 + 0.0725460i
\(315\) 6.58704 + 4.13674i 0.371138 + 0.233079i
\(316\) 10.4175 6.69495i 0.586033 0.376620i
\(317\) 18.8022 7.52728i 1.05604 0.422774i 0.222326 0.974972i \(-0.428635\pi\)
0.833713 + 0.552198i \(0.186211\pi\)
\(318\) −0.0734701 + 0.0378765i −0.00412000 + 0.00212401i
\(319\) 0.524315 + 1.51491i 0.0293560 + 0.0848185i
\(320\) 5.37233 + 22.1450i 0.300322 + 1.23794i
\(321\) 9.63742 0.537908
\(322\) −1.19581 + 0.497496i −0.0666397 + 0.0277244i
\(323\) −20.2709 −1.12791
\(324\) −0.469062 1.93350i −0.0260590 0.107417i
\(325\) 1.69034 + 4.88391i 0.0937631 + 0.270911i
\(326\) 0.683623 0.352432i 0.0378624 0.0195194i
\(327\) 4.22694 1.69221i 0.233750 0.0935795i
\(328\) −2.19651 + 1.41161i −0.121282 + 0.0779430i
\(329\) −15.7018 + 8.30342i −0.865670 + 0.457782i
\(330\) −0.141673 0.163499i −0.00779883 0.00900033i
\(331\) 0.134068 0.105432i 0.00736905 0.00579508i −0.614468 0.788942i \(-0.710629\pi\)
0.621837 + 0.783147i \(0.286387\pi\)
\(332\) −10.8584 15.2484i −0.595930 0.836867i
\(333\) −0.0871794 + 0.359359i −0.00477740 + 0.0196927i
\(334\) −0.246593 0.235126i −0.0134930 0.0128655i
\(335\) −19.1749 + 41.9871i −1.04764 + 2.29400i
\(336\) −3.30443 + 9.87995i −0.180271 + 0.538995i
\(337\) −10.4964 12.1135i −0.571774 0.659862i 0.394042 0.919093i \(-0.371077\pi\)
−0.965815 + 0.259231i \(0.916531\pi\)
\(338\) 0.650554 0.913575i 0.0353855 0.0496919i
\(339\) 0.769760 + 16.1592i 0.0418076 + 0.877650i
\(340\) −23.1823 18.2308i −1.25724 0.988702i
\(341\) −0.319467 + 6.70645i −0.0173001 + 0.363174i
\(342\) −0.268737 + 0.310139i −0.0145316 + 0.0167704i
\(343\) 2.06053 18.4053i 0.111258 0.993792i
\(344\) 1.84752 0.0996114
\(345\) 11.1091 + 8.68217i 0.598092 + 0.467432i
\(346\) 0.0223879 0.0387769i 0.00120358 0.00208466i
\(347\) −3.26792 + 3.11595i −0.175431 + 0.167273i −0.772707 0.634762i \(-0.781098\pi\)
0.597276 + 0.802035i \(0.296250\pi\)
\(348\) 4.34416 + 0.837267i 0.232871 + 0.0448822i
\(349\) −4.92792 3.16699i −0.263786 0.169525i 0.402062 0.915612i \(-0.368294\pi\)
−0.665848 + 0.746088i \(0.731930\pi\)
\(350\) 0.562299 0.807340i 0.0300561 0.0431542i
\(351\) 1.19341 0.766961i 0.0636997 0.0409373i
\(352\) 0.508664 0.714319i 0.0271119 0.0380733i
\(353\) 30.7572 5.92796i 1.63704 0.315513i 0.713979 0.700168i \(-0.246891\pi\)
0.923061 + 0.384654i \(0.125679\pi\)
\(354\) 0.195994 + 0.0784642i 0.0104170 + 0.00417033i
\(355\) −18.6123 + 1.77726i −0.987836 + 0.0943269i
\(356\) 28.0266 8.22936i 1.48541 0.436155i
\(357\) −4.49443 12.5601i −0.237871 0.664753i
\(358\) 0.450069 0.985513i 0.0237869 0.0520860i
\(359\) −19.6563 + 15.4579i −1.03742 + 0.815835i −0.983170 0.182692i \(-0.941519\pi\)
−0.0542490 + 0.998527i \(0.517276\pi\)
\(360\) −1.17559 + 0.226576i −0.0619588 + 0.0119416i
\(361\) 2.82382 + 0.269642i 0.148622 + 0.0141917i
\(362\) −0.757339 0.390435i −0.0398049 0.0205208i
\(363\) −1.49150 + 10.3736i −0.0782833 + 0.544472i
\(364\) −7.46709 + 0.0779355i −0.391382 + 0.00408493i
\(365\) 19.5412 22.5517i 1.02283 1.18041i
\(366\) 0.0266623 + 0.109904i 0.00139366 + 0.00574475i
\(367\) −14.8171 + 25.6640i −0.773448 + 1.33965i 0.162215 + 0.986755i \(0.448136\pi\)
−0.935663 + 0.352895i \(0.885197\pi\)
\(368\) −7.79287 + 17.2011i −0.406231 + 0.896670i
\(369\) 3.20579 + 5.55260i 0.166887 + 0.289057i
\(370\) 0.106472 + 0.0312630i 0.00553521 + 0.00162528i
\(371\) 0.282763 2.12378i 0.0146803 0.110261i
\(372\) 15.5877 + 10.0176i 0.808186 + 0.519390i
\(373\) −24.5263 + 9.81884i −1.26992 + 0.508400i −0.906098 0.423067i \(-0.860953\pi\)
−0.363824 + 0.931468i \(0.618529\pi\)
\(374\) 0.0176544 + 0.370611i 0.000912887 + 0.0191639i
\(375\) 3.97110 + 0.379194i 0.205067 + 0.0195815i
\(376\) 0.894179 2.58356i 0.0461138 0.133237i
\(377\) 0.448930 + 3.12237i 0.0231211 + 0.160810i
\(378\) −0.251750 0.0977494i −0.0129486 0.00502768i
\(379\) 13.1464 3.86014i 0.675287 0.198282i 0.0739312 0.997263i \(-0.476445\pi\)
0.601356 + 0.798981i \(0.294627\pi\)
\(380\) −17.0193 16.2278i −0.873070 0.832471i
\(381\) −4.48792 6.30240i −0.229923 0.322882i
\(382\) 2.22748 + 0.891749i 0.113968 + 0.0456258i
\(383\) 10.9990 31.7794i 0.562021 1.62385i −0.202521 0.979278i \(-0.564913\pi\)
0.764542 0.644574i \(-0.222965\pi\)
\(384\) −1.33927 2.93260i −0.0683445 0.149654i
\(385\) 5.57630 0.591263i 0.284195 0.0301335i
\(386\) 0.254735 1.77172i 0.0129657 0.0901781i
\(387\) 0.215869 4.53165i 0.0109732 0.230357i
\(388\) 0.938744 + 2.71232i 0.0476575 + 0.137697i
\(389\) −17.9325 + 17.0986i −0.909212 + 0.866932i −0.991557 0.129672i \(-0.958608\pi\)
0.0823451 + 0.996604i \(0.473759\pi\)
\(390\) −0.212854 0.368674i −0.0107783 0.0186685i
\(391\) −5.77171 23.4820i −0.291888 1.18753i
\(392\) 1.70162 + 2.28702i 0.0859449 + 0.115512i
\(393\) −0.328014 0.0963136i −0.0165461 0.00485838i
\(394\) 1.75169 + 0.337610i 0.0882488 + 0.0170086i
\(395\) −16.2642 + 8.38479i −0.818342 + 0.421884i
\(396\) −1.12747 0.886650i −0.0566573 0.0445558i
\(397\) 15.6988 + 8.09330i 0.787900 + 0.406191i 0.804710 0.593668i \(-0.202321\pi\)
−0.0168098 + 0.999859i \(0.505351\pi\)
\(398\) 0.493322 + 1.08022i 0.0247280 + 0.0541468i
\(399\) −2.61549 10.3103i −0.130938 0.516161i
\(400\) −2.04151 14.1990i −0.102076 0.709952i
\(401\) 15.9277 1.52091i 0.795390 0.0759505i 0.310554 0.950556i \(-0.399485\pi\)
0.484836 + 0.874605i \(0.338879\pi\)
\(402\) 0.377830 1.55744i 0.0188444 0.0776779i
\(403\) −3.11478 + 12.8393i −0.155158 + 0.639570i
\(404\) −30.5244 + 2.91473i −1.51865 + 0.145013i
\(405\) 0.418394 + 2.90999i 0.0207901 + 0.144599i
\(406\) 0.430266 0.418917i 0.0213537 0.0207905i
\(407\) 0.110743 + 0.242494i 0.00548935 + 0.0120200i
\(408\) 1.82503 + 0.940867i 0.0903523 + 0.0465799i
\(409\) 21.4810 + 16.8929i 1.06217 + 0.835298i 0.986814 0.161858i \(-0.0517488\pi\)
0.0753544 + 0.997157i \(0.475991\pi\)
\(410\) 1.71015 0.881644i 0.0844583 0.0435413i
\(411\) 10.9700 + 2.11430i 0.541112 + 0.104291i
\(412\) −19.5553 5.74195i −0.963420 0.282885i
\(413\) −4.57236 + 3.00636i −0.224991 + 0.147933i
\(414\) −0.435783 0.223001i −0.0214176 0.0109599i
\(415\) 13.8305 + 23.9551i 0.678911 + 1.17591i
\(416\) 1.24886 1.19079i 0.0612304 0.0583831i
\(417\) 5.17348 + 14.9478i 0.253346 + 0.731996i
\(418\) −0.0140770 + 0.295513i −0.000688529 + 0.0144540i
\(419\) 4.06210 28.2525i 0.198446 1.38023i −0.610348 0.792134i \(-0.708970\pi\)
0.808794 0.588092i \(-0.200121\pi\)
\(420\) 6.28150 14.1434i 0.306506 0.690125i
\(421\) −7.21186 15.7918i −0.351485 0.769644i −0.999965 0.00841230i \(-0.997322\pi\)
0.648480 0.761232i \(-0.275405\pi\)
\(422\) −0.266248 + 0.769274i −0.0129608 + 0.0374477i
\(423\) −6.23257 2.49514i −0.303038 0.121318i
\(424\) 0.191288 + 0.268626i 0.00928976 + 0.0130456i
\(425\) 13.2941 + 12.6759i 0.644858 + 0.614871i
\(426\) 0.622859 0.182888i 0.0301776 0.00886095i
\(427\) −2.73258 1.06101i −0.132239 0.0513458i
\(428\) −2.72880 18.9793i −0.131902 0.917397i
\(429\) 0.334497 0.966466i 0.0161497 0.0466614i
\(430\) −1.35527 0.129412i −0.0653568 0.00624082i
\(431\) −1.31369 27.5778i −0.0632783 1.32837i −0.777690 0.628648i \(-0.783609\pi\)
0.714412 0.699726i \(-0.246694\pi\)
\(432\) −3.65554 + 1.46346i −0.175877 + 0.0704106i
\(433\) 2.30810 + 1.48333i 0.110920 + 0.0712842i 0.594925 0.803781i \(-0.297182\pi\)
−0.484004 + 0.875066i \(0.660818\pi\)
\(434\) 2.32506 0.959088i 0.111606 0.0460377i
\(435\) −6.27250 1.84177i −0.300743 0.0883062i
\(436\) −4.52937 7.84510i −0.216917 0.375712i
\(437\) −2.80152 19.0764i −0.134015 0.912547i
\(438\) −0.518024 + 0.897244i −0.0247521 + 0.0428720i
\(439\) −0.415876 1.71426i −0.0198487 0.0818173i 0.961026 0.276459i \(-0.0891609\pi\)
−0.980874 + 0.194641i \(0.937646\pi\)
\(440\) −0.565215 + 0.652293i −0.0269456 + 0.0310968i
\(441\) 5.80850 3.90657i 0.276595 0.186027i
\(442\) −0.103905 + 0.722673i −0.00494224 + 0.0343741i
\(443\) −33.0048 17.0152i −1.56811 0.808415i −0.568211 0.822883i \(-0.692364\pi\)
−0.999895 + 0.0144684i \(0.995394\pi\)
\(444\) 0.732380 + 0.0699338i 0.0347572 + 0.00331891i
\(445\) −42.3821 + 8.16847i −2.00910 + 0.387223i
\(446\) 0.898480 0.706572i 0.0425442 0.0334572i
\(447\) 0.105715 0.231483i 0.00500014 0.0109488i
\(448\) 20.1761 + 3.67066i 0.953232 + 0.173422i
\(449\) −9.54606 + 2.80298i −0.450506 + 0.132281i −0.499112 0.866537i \(-0.666340\pi\)
0.0486057 + 0.998818i \(0.484522\pi\)
\(450\) 0.370180 0.0353479i 0.0174504 0.00166632i
\(451\) 4.29117 + 1.71793i 0.202063 + 0.0808940i
\(452\) 31.6049 6.09135i 1.48657 0.286513i
\(453\) 12.8477 18.0420i 0.603637 0.847689i
\(454\) 1.75321 1.12672i 0.0822824 0.0528797i
\(455\) 10.9948 + 0.934188i 0.515443 + 0.0437954i
\(456\) 1.37731 + 0.885144i 0.0644985 + 0.0414507i
\(457\) 25.7048 + 4.95420i 1.20242 + 0.231748i 0.750841 0.660483i \(-0.229649\pi\)
0.451580 + 0.892231i \(0.350861\pi\)
\(458\) 0.467115 0.445394i 0.0218269 0.0208119i
\(459\) 2.52103 4.36656i 0.117672 0.203813i
\(460\) 13.9526 24.3357i 0.650541 1.13466i
\(461\) −25.1057 −1.16929 −0.584644 0.811290i \(-0.698766\pi\)
−0.584644 + 0.811290i \(0.698766\pi\)
\(462\) −0.186224 + 0.0567982i −0.00866395 + 0.00264249i
\(463\) 24.9033 28.7399i 1.15735 1.33566i 0.224894 0.974383i \(-0.427797\pi\)
0.932460 0.361274i \(-0.117658\pi\)
\(464\) 0.416617 8.74586i 0.0193409 0.406016i
\(465\) −21.5219 16.9250i −0.998055 0.784879i
\(466\) −0.106821 2.24245i −0.00494839 0.103880i
\(467\) 16.9108 23.7480i 0.782540 1.09892i −0.210083 0.977684i \(-0.567373\pi\)
0.992623 0.121241i \(-0.0386872\pi\)
\(468\) −1.84831 2.13306i −0.0854382 0.0986009i
\(469\) 27.5290 + 31.1081i 1.27117 + 1.43644i
\(470\) −0.836905 + 1.83257i −0.0386036 + 0.0845300i
\(471\) −12.0605 11.4997i −0.555721 0.529879i
\(472\) 0.198572 0.818526i 0.00914003 0.0376757i
\(473\) −1.89718 2.66422i −0.0872326 0.122501i
\(474\) 0.499392 0.392726i 0.0229378 0.0180385i
\(475\) 9.59148 + 11.0692i 0.440087 + 0.507888i
\(476\) −23.4625 + 12.4074i −1.07540 + 0.568692i
\(477\) 0.681246 0.437810i 0.0311921 0.0200460i
\(478\) −1.14894 + 0.459967i −0.0525514 + 0.0210384i
\(479\) 12.4167 6.40127i 0.567335 0.292482i −0.150596 0.988595i \(-0.548119\pi\)
0.717931 + 0.696114i \(0.245089\pi\)
\(480\) 1.16962 + 3.37938i 0.0533854 + 0.154247i
\(481\) 0.123674 + 0.509791i 0.00563905 + 0.0232445i
\(482\) 1.19977 0.0546479
\(483\) 11.1988 5.96543i 0.509564 0.271437i
\(484\) 20.8513 0.947788
\(485\) −0.999887 4.12159i −0.0454025 0.187152i
\(486\) −0.0333849 0.0964594i −0.00151437 0.00437549i
\(487\) 16.1277 8.31443i 0.730818 0.376763i −0.0523040 0.998631i \(-0.516656\pi\)
0.783122 + 0.621869i \(0.213626\pi\)
\(488\) 0.418868 0.167689i 0.0189613 0.00759094i
\(489\) −6.33884 + 4.07372i −0.286652 + 0.184220i
\(490\) −1.08805 1.79686i −0.0491529 0.0811740i
\(491\) −8.25569 9.52758i −0.372574 0.429974i 0.538239 0.842792i \(-0.319090\pi\)
−0.910813 + 0.412819i \(0.864544\pi\)
\(492\) 10.0272 7.88547i 0.452061 0.355504i
\(493\) 6.50343 + 9.13280i 0.292900 + 0.411320i
\(494\) −0.137249 + 0.565750i −0.00617514 + 0.0254543i
\(495\) 1.53392 + 1.46259i 0.0689448 + 0.0657387i
\(496\) 15.2338 33.3573i 0.684017 1.49779i
\(497\) −5.33704 + 15.9573i −0.239399 + 0.715782i
\(498\) −0.628918 0.725810i −0.0281825 0.0325243i
\(499\) 4.07362 5.72059i 0.182360 0.256089i −0.713269 0.700890i \(-0.752786\pi\)
0.895629 + 0.444801i \(0.146726\pi\)
\(500\) −0.377647 7.92778i −0.0168889 0.354541i
\(501\) 2.62387 + 2.06343i 0.117226 + 0.0921873i
\(502\) −0.0552574 + 1.16000i −0.00246626 + 0.0517731i
\(503\) 21.6823 25.0227i 0.966764 1.11570i −0.0264789 0.999649i \(-0.508429\pi\)
0.993243 0.116056i \(-0.0370251\pi\)
\(504\) −0.243072 + 1.04965i −0.0108273 + 0.0467552i
\(505\) 45.3098 2.01626
\(506\) −0.346332 + 0.0678339i −0.0153963 + 0.00301559i
\(507\) −5.49377 + 9.51548i −0.243987 + 0.422597i
\(508\) −11.1408 + 10.6227i −0.494291 + 0.471306i
\(509\) 13.1380 + 2.53214i 0.582331 + 0.112235i 0.471905 0.881649i \(-0.343567\pi\)
0.110426 + 0.993884i \(0.464779\pi\)
\(510\) −1.27287 0.818021i −0.0563634 0.0362226i
\(511\) −11.4101 24.3099i −0.504752 1.07541i
\(512\) −6.72720 + 4.32331i −0.297303 + 0.191065i
\(513\) 2.33204 3.27489i 0.102962 0.144590i
\(514\) −0.333657 + 0.0643070i −0.0147170 + 0.00283646i
\(515\) 27.9586 + 11.1929i 1.23200 + 0.493220i
\(516\) −8.98544 + 0.858006i −0.395562 + 0.0377716i
\(517\) −4.64386 + 1.36356i −0.204237 + 0.0599693i
\(518\) 0.0646055 0.0761503i 0.00283860 0.00334585i
\(519\) −0.182227 + 0.399021i −0.00799887 + 0.0175151i
\(520\) −1.33503 + 1.04988i −0.0585449 + 0.0460402i
\(521\) −27.2570 + 5.25336i −1.19415 + 0.230154i −0.747320 0.664464i \(-0.768660\pi\)
−0.446832 + 0.894618i \(0.647448\pi\)
\(522\) 0.225946 + 0.0215753i 0.00988940 + 0.000944323i
\(523\) −31.8303 16.4097i −1.39184 0.717545i −0.410871 0.911694i \(-0.634775\pi\)
−0.980972 + 0.194149i \(0.937806\pi\)
\(524\) −0.0967971 + 0.673239i −0.00422860 + 0.0294106i
\(525\) −4.73199 + 8.39724i −0.206521 + 0.366486i
\(526\) 0.893975 1.03170i 0.0389792 0.0449844i
\(527\) 11.0706 + 45.6336i 0.482243 + 1.98783i
\(528\) −1.41936 + 2.45840i −0.0617695 + 0.106988i
\(529\) 21.3005 8.67688i 0.926109 0.377256i
\(530\) −0.121505 0.210453i −0.00527784 0.00914149i
\(531\) −1.98451 0.582704i −0.0861202 0.0252872i
\(532\) −19.5638 + 8.07009i −0.848200 + 0.349883i
\(533\) 7.65168 + 4.91744i 0.331431 + 0.212998i
\(534\) 1.39123 0.556966i 0.0602045 0.0241023i
\(535\) 1.34815 + 28.3011i 0.0582855 + 1.22356i
\(536\) −6.36480 0.607764i −0.274917 0.0262514i
\(537\) −3.47154 + 10.0304i −0.149808 + 0.432842i
\(538\) −0.284678 1.97998i −0.0122733 0.0853629i
\(539\) 1.55064 4.80234i 0.0667909 0.206851i
\(540\) 5.61227 1.64791i 0.241513 0.0709148i
\(541\) −19.5517 18.6425i −0.840593 0.801504i 0.141492 0.989939i \(-0.454810\pi\)
−0.982086 + 0.188435i \(0.939658\pi\)
\(542\) 1.59085 + 2.23404i 0.0683329 + 0.0959601i
\(543\) 7.74955 + 3.10245i 0.332565 + 0.133139i
\(544\) 2.00594 5.79577i 0.0860038 0.248492i
\(545\) 5.56062 + 12.1761i 0.238191 + 0.521565i
\(546\) −0.380976 + 0.0403954i −0.0163043 + 0.00172876i
\(547\) 0.746138 5.18951i 0.0319026 0.221887i −0.967633 0.252362i \(-0.918793\pi\)
0.999536 + 0.0304744i \(0.00970181\pi\)
\(548\) 1.05763 22.2023i 0.0451795 0.948435i
\(549\) −0.362372 1.04701i −0.0154657 0.0446851i
\(550\) 0.194023 0.185000i 0.00827316 0.00788845i
\(551\) 4.46991 + 7.74212i 0.190425 + 0.329825i
\(552\) −0.633196 + 1.84751i −0.0269506 + 0.0786353i
\(553\) 0.955179 + 16.4397i 0.0406184 + 0.699088i
\(554\) 1.16593 + 0.342347i 0.0495355 + 0.0145449i
\(555\) −1.06748 0.205740i −0.0453121 0.00873319i
\(556\) 27.9723 14.4207i 1.18629 0.611574i
\(557\) 8.31328 + 6.53764i 0.352245 + 0.277009i 0.778565 0.627564i \(-0.215948\pi\)
−0.426320 + 0.904572i \(0.640190\pi\)
\(558\) 0.844945 + 0.435599i 0.0357694 + 0.0184404i
\(559\) −2.67359 5.85435i −0.113081 0.247613i
\(560\) −29.4756 8.32166i −1.24557 0.351654i
\(561\) −0.517307 3.59795i −0.0218407 0.151906i
\(562\) 1.52373 0.145498i 0.0642745 0.00613747i
\(563\) 2.36782 9.76030i 0.0997919 0.411348i −0.899902 0.436092i \(-0.856362\pi\)
0.999694 + 0.0247446i \(0.00787725\pi\)
\(564\) −3.14903 + 12.9805i −0.132598 + 0.546576i
\(565\) −47.3453 + 4.52093i −1.99183 + 0.190197i
\(566\) −0.0599261 0.416795i −0.00251888 0.0175192i
\(567\) 2.54622 + 0.718859i 0.106931 + 0.0301893i
\(568\) −1.07586 2.35581i −0.0451422 0.0988477i
\(569\) 17.4185 + 8.97984i 0.730220 + 0.376454i 0.782892 0.622158i \(-0.213744\pi\)
−0.0526726 + 0.998612i \(0.516774\pi\)
\(570\) −0.948341 0.745784i −0.0397216 0.0312374i
\(571\) −19.0906 + 9.84187i −0.798915 + 0.411870i −0.808802 0.588082i \(-0.799883\pi\)
0.00988615 + 0.999951i \(0.496853\pi\)
\(572\) −1.99800 0.385083i −0.0835407 0.0161011i
\(573\) −22.5540 6.62244i −0.942206 0.276657i
\(574\) −0.100435 1.72860i −0.00419208 0.0721505i
\(575\) −10.0916 + 14.2625i −0.420849 + 0.594789i
\(576\) 3.87551 + 6.71259i 0.161480 + 0.279691i
\(577\) 16.1089 15.3598i 0.670622 0.639437i −0.276236 0.961090i \(-0.589087\pi\)
0.946857 + 0.321653i \(0.104239\pi\)
\(578\) 0.281182 + 0.812421i 0.0116956 + 0.0337923i
\(579\) −0.834386 + 17.5159i −0.0346759 + 0.727937i
\(580\) −1.85102 + 12.8741i −0.0768593 + 0.534568i
\(581\) 24.7545 2.62475i 1.02699 0.108893i
\(582\) 0.0611705 + 0.133945i 0.00253560 + 0.00555219i
\(583\) 0.190944 0.551695i 0.00790808 0.0228489i
\(584\) 3.83731 + 1.53623i 0.158789 + 0.0635696i
\(585\) 2.41919 + 3.39728i 0.100021 + 0.140460i
\(586\) −0.0899361 0.0857539i −0.00371523 0.00354246i
\(587\) −43.9635 + 12.9089i −1.81457 + 0.532806i −0.998951 0.0457843i \(-0.985421\pi\)
−0.815618 + 0.578590i \(0.803603\pi\)
\(588\) −9.33799 10.3327i −0.385092 0.426114i
\(589\) 5.32856 + 37.0610i 0.219560 + 1.52707i
\(590\) −0.203000 + 0.586530i −0.00835738 + 0.0241471i
\(591\) −17.3978 1.66129i −0.715649 0.0683362i
\(592\) −0.0692817 1.45440i −0.00284746 0.0597756i
\(593\) 0.217917 0.0872410i 0.00894879 0.00358256i −0.367184 0.930148i \(-0.619678\pi\)
0.376133 + 0.926566i \(0.377254\pi\)
\(594\) −0.0619055 0.0397843i −0.00254002 0.00163237i
\(595\) 36.2552 14.9553i 1.48632 0.613107i
\(596\) −0.485800 0.142644i −0.0198991 0.00584292i
\(597\) −5.81709 10.0755i −0.238078 0.412363i
\(598\) −0.694446 + 0.00209451i −0.0283980 + 8.56511e-5i
\(599\) −8.01366 + 13.8801i −0.327429 + 0.567124i −0.982001 0.188876i \(-0.939516\pi\)
0.654572 + 0.756000i \(0.272849\pi\)
\(600\) −0.349767 1.44176i −0.0142792 0.0588596i
\(601\) −22.0426 + 25.4385i −0.899136 + 1.03766i 0.0999534 + 0.994992i \(0.468131\pi\)
−0.999089 + 0.0426661i \(0.986415\pi\)
\(602\) −0.601497 + 1.06740i −0.0245152 + 0.0435039i
\(603\) −2.23443 + 15.5408i −0.0909928 + 0.632869i
\(604\) −39.1685 20.1928i −1.59374 0.821633i
\(605\) −30.6716 2.92878i −1.24698 0.119072i
\(606\) −1.54472 + 0.297720i −0.0627499 + 0.0120941i
\(607\) 22.7891 17.9215i 0.924979 0.727412i −0.0373490 0.999302i \(-0.511891\pi\)
0.962328 + 0.271891i \(0.0876489\pi\)
\(608\) 2.03151 4.44838i 0.0823885 0.180406i
\(609\) −3.80606 + 4.48618i −0.154229 + 0.181789i
\(610\) −0.319011 + 0.0936702i −0.0129164 + 0.00379260i
\(611\) −9.48069 + 0.905296i −0.383548 + 0.0366244i
\(612\) −9.31301 3.72837i −0.376456 0.150710i
\(613\) 10.7602 2.07386i 0.434602 0.0837626i 0.0327419 0.999464i \(-0.489576\pi\)
0.401860 + 0.915701i \(0.368364\pi\)
\(614\) −1.85030 + 2.59838i −0.0746718 + 0.104862i
\(615\) −15.8572 + 10.1908i −0.639425 + 0.410934i
\(616\) 0.330028 + 0.703147i 0.0132972 + 0.0283306i
\(617\) 6.45653 + 4.14936i 0.259930 + 0.167047i 0.664115 0.747630i \(-0.268808\pi\)
−0.404185 + 0.914677i \(0.632445\pi\)
\(618\) −1.02672 0.197885i −0.0413008 0.00796008i
\(619\) 11.1853 10.6651i 0.449573 0.428667i −0.431163 0.902274i \(-0.641897\pi\)
0.880736 + 0.473607i \(0.157048\pi\)
\(620\) −27.2371 + 47.1760i −1.09387 + 1.89464i
\(621\) 4.45765 + 1.76899i 0.178879 + 0.0709873i
\(622\) −2.12453 −0.0851859
\(623\) −8.76319 + 37.8419i −0.351090 + 1.51610i
\(624\) −3.65800 + 4.22156i −0.146437 + 0.168998i
\(625\) −1.42476 + 29.9094i −0.0569904 + 1.19638i
\(626\) 2.49850 + 1.96485i 0.0998603 + 0.0785310i
\(627\) −0.137911 2.89510i −0.00550762 0.115619i
\(628\) −19.2318 + 27.0073i −0.767433 + 1.07771i
\(629\) 1.22096 + 1.40907i 0.0486831 + 0.0561832i
\(630\) 0.251833 0.752958i 0.0100333 0.0299986i
\(631\) −5.84643 + 12.8019i −0.232743 + 0.509636i −0.989583 0.143964i \(-0.954015\pi\)
0.756840 + 0.653600i \(0.226742\pi\)
\(632\) −1.83441 1.74910i −0.0729688 0.0695756i
\(633\) 1.88020 7.75030i 0.0747313 0.308047i
\(634\) −1.19915 1.68397i −0.0476242 0.0668788i
\(635\) 17.8797 14.0608i 0.709535 0.557985i
\(636\) −1.05509 1.21763i −0.0418369 0.0482823i
\(637\) 4.78457 8.70165i 0.189572 0.344772i
\(638\) 0.137655 0.0884658i 0.00544983 0.00350239i
\(639\) −5.90412 + 2.36366i −0.233564 + 0.0935047i
\(640\) 8.42448 4.34312i 0.333007 0.171677i
\(641\) −7.63646 22.0641i −0.301622 0.871480i −0.989356 0.145517i \(-0.953516\pi\)
0.687734 0.725963i \(-0.258606\pi\)
\(642\) −0.231922 0.955994i −0.00915322 0.0377301i
\(643\) −5.89324 −0.232407 −0.116203 0.993225i \(-0.537072\pi\)
−0.116203 + 0.993225i \(0.537072\pi\)
\(644\) −14.9188 20.3651i −0.587884 0.802497i
\(645\) 13.3378 0.525175
\(646\) 0.487814 + 2.01080i 0.0191928 + 0.0791138i
\(647\) 2.78651 + 8.05108i 0.109549 + 0.316521i 0.986429 0.164188i \(-0.0525005\pi\)
−0.876880 + 0.480709i \(0.840379\pi\)
\(648\) −0.361960 + 0.186604i −0.0142191 + 0.00733048i
\(649\) −1.38427 + 0.554178i −0.0543374 + 0.0217534i
\(650\) 0.443787 0.285205i 0.0174068 0.0111867i
\(651\) −21.7820 + 11.5187i −0.853704 + 0.451455i
\(652\) 9.81733 + 11.3298i 0.384476 + 0.443709i
\(653\) 21.0890 16.5846i 0.825278 0.649006i −0.113496 0.993538i \(-0.536205\pi\)
0.938774 + 0.344533i \(0.111963\pi\)
\(654\) −0.269581 0.378573i −0.0105414 0.0148034i
\(655\) 0.236948 0.976714i 0.00925834 0.0381634i
\(656\) −18.2716 17.4219i −0.713385 0.680211i
\(657\) 4.21647 9.23279i 0.164500 0.360206i
\(658\) 1.20153 + 1.35774i 0.0468404 + 0.0529303i
\(659\) 19.2830 + 22.2537i 0.751158 + 0.866883i 0.994680 0.103013i \(-0.0328483\pi\)
−0.243522 + 0.969895i \(0.578303\pi\)
\(660\) 2.44600 3.43493i 0.0952106 0.133705i
\(661\) −0.668785 14.0395i −0.0260127 0.546075i −0.973832 0.227268i \(-0.927021\pi\)
0.947820 0.318807i \(-0.103282\pi\)
\(662\) −0.0136848 0.0107618i −0.000531874 0.000418270i
\(663\) 0.340341 7.14464i 0.0132178 0.277475i
\(664\) −2.50912 + 2.89568i −0.0973727 + 0.112374i
\(665\) 29.9112 9.12288i 1.15991 0.353770i
\(666\) 0.0377449 0.00146259
\(667\) −7.69580 + 7.38238i −0.297983 + 0.285847i
\(668\) 3.32064 5.75151i 0.128479 0.222533i
\(669\) −8.10444 + 7.72757i −0.313336 + 0.298765i
\(670\) 4.62640 + 0.891665i 0.178733 + 0.0344480i
\(671\) −0.671946 0.431833i −0.0259402 0.0166707i
\(672\) 3.20669 + 0.272462i 0.123701 + 0.0105104i
\(673\) 29.1571 18.7382i 1.12393 0.722303i 0.159642 0.987175i \(-0.448966\pi\)
0.964284 + 0.264872i \(0.0853298\pi\)
\(674\) −0.949015 + 1.33271i −0.0365547 + 0.0513339i
\(675\) −3.57727 + 0.689462i −0.137689 + 0.0265374i
\(676\) 20.2947 + 8.12476i 0.780564 + 0.312491i
\(677\) 13.8498 1.32250i 0.532293 0.0508278i 0.174551 0.984648i \(-0.444153\pi\)
0.357742 + 0.933820i \(0.383547\pi\)
\(678\) 1.58441 0.465225i 0.0608489 0.0178669i
\(679\) −3.75514 0.683176i −0.144109 0.0262179i
\(680\) −2.50764 + 5.49097i −0.0961636 + 0.210569i
\(681\) −16.0490 + 12.6211i −0.614998 + 0.483640i
\(682\) 0.672941 0.129699i 0.0257682 0.00496642i
\(683\) 28.1831 + 2.69116i 1.07840 + 0.102974i 0.619102 0.785310i \(-0.287497\pi\)
0.459293 + 0.888285i \(0.348103\pi\)
\(684\) −7.10965 3.66528i −0.271844 0.140146i
\(685\) −4.67427 + 32.5102i −0.178595 + 1.24215i
\(686\) −1.87532 + 0.238521i −0.0716000 + 0.00910676i
\(687\) −4.14078 + 4.77871i −0.157980 + 0.182319i
\(688\) 4.21161 + 17.3605i 0.160566 + 0.661862i
\(689\) 0.574396 0.994883i 0.0218827 0.0379020i
\(690\) 0.593900 1.31091i 0.0226094 0.0499055i
\(691\) −9.52876 16.5043i −0.362491 0.627853i 0.625879 0.779920i \(-0.284740\pi\)
−0.988370 + 0.152067i \(0.951407\pi\)
\(692\) 0.837401 + 0.245883i 0.0318332 + 0.00934708i
\(693\) 1.76326 0.727347i 0.0669808 0.0276296i
\(694\) 0.387732 + 0.249180i 0.0147181 + 0.00945874i
\(695\) −43.1718 + 17.2834i −1.63760 + 0.655595i
\(696\) −0.0430869 0.904506i −0.00163321 0.0342852i
\(697\) 32.1813 + 3.07294i 1.21895 + 0.116396i
\(698\) −0.195563 + 0.565043i −0.00740219 + 0.0213872i
\(699\) 3.13006 + 21.7701i 0.118390 + 0.823419i
\(700\) 17.8768 + 6.94120i 0.675679 + 0.262353i
\(701\) −0.731479 + 0.214782i −0.0276276 + 0.00811219i −0.295517 0.955337i \(-0.595492\pi\)
0.267890 + 0.963450i \(0.413674\pi\)
\(702\) −0.104799 0.0999253i −0.00395537 0.00377144i
\(703\) 0.862347 + 1.21100i 0.0325240 + 0.0456736i
\(704\) 5.18764 + 2.07682i 0.195516 + 0.0782730i
\(705\) 6.45535 18.6515i 0.243122 0.702456i
\(706\) −1.32819 2.90834i −0.0499872 0.109457i
\(707\) 16.5510 37.2660i 0.622464 1.40153i
\(708\) −0.585629 + 4.07314i −0.0220093 + 0.153078i
\(709\) 1.32304 27.7740i 0.0496877 1.04307i −0.827057 0.562118i \(-0.809987\pi\)
0.876745 0.480956i \(-0.159710\pi\)
\(710\) 0.624196 + 1.80349i 0.0234256 + 0.0676839i
\(711\) −4.50460 + 4.29513i −0.168936 + 0.161080i
\(712\) −2.98935 5.17771i −0.112031 0.194043i
\(713\) −41.4144 + 16.7249i −1.55098 + 0.626354i
\(714\) −1.13776 + 0.748086i −0.0425796 + 0.0279964i
\(715\) 2.88490 + 0.847084i 0.107889 + 0.0316791i
\(716\) 20.7360 + 3.99654i 0.774942 + 0.149358i
\(717\) 10.7767 5.55579i 0.402464 0.207485i
\(718\) 2.00638 + 1.57784i 0.0748776 + 0.0588844i
\(719\) −25.8802 13.3421i −0.965167 0.497578i −0.0977777 0.995208i \(-0.531173\pi\)
−0.867389 + 0.497630i \(0.834204\pi\)
\(720\) −4.80893 10.5301i −0.179218 0.392433i
\(721\) 19.4188 18.9066i 0.723192 0.704118i
\(722\) −0.0412070 0.286601i −0.00153356 0.0106662i
\(723\) −11.7007 + 1.11729i −0.435155 + 0.0415523i
\(724\) 3.91549 16.1399i 0.145518 0.599834i
\(725\) 1.90987 7.87258i 0.0709307 0.292380i
\(726\) 1.06491 0.101687i 0.0395226 0.00377395i
\(727\) 2.60863 + 18.1434i 0.0967488 + 0.672902i 0.979259 + 0.202610i \(0.0649424\pi\)
−0.882511 + 0.470292i \(0.844149\pi\)
\(728\) 0.375830 + 1.48153i 0.0139292 + 0.0549092i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) −2.70730 1.39571i −0.100202 0.0516575i
\(731\) −17.9808 14.1403i −0.665044 0.522996i
\(732\) −1.95930 + 1.01009i −0.0724177 + 0.0373339i
\(733\) −41.9404 8.08335i −1.54910 0.298565i −0.658230 0.752817i \(-0.728695\pi\)
−0.890874 + 0.454251i \(0.849907\pi\)
\(734\) 2.90234 + 0.852204i 0.107127 + 0.0314554i
\(735\) 12.2845 + 16.5107i 0.453121 + 0.609006i
\(736\) 5.73145 + 1.08673i 0.211264 + 0.0400574i
\(737\) 5.65947 + 9.80249i 0.208469 + 0.361079i
\(738\) 0.473649 0.451624i 0.0174353 0.0166245i
\(739\) 15.8945 + 45.9241i 0.584688 + 1.68934i 0.716084 + 0.698014i \(0.245933\pi\)
−0.131396 + 0.991330i \(0.541946\pi\)
\(740\) −0.102916 + 2.16048i −0.00378328 + 0.0794208i
\(741\) 0.811671 5.64530i 0.0298175 0.207385i
\(742\) −0.217476 + 0.0230592i −0.00798379 + 0.000846531i
\(743\) 4.99878 + 10.9458i 0.183387 + 0.401562i 0.978890 0.204388i \(-0.0655204\pi\)
−0.795503 + 0.605950i \(0.792793\pi\)
\(744\) 1.24043 3.58399i 0.0454764 0.131395i
\(745\) 0.694559 + 0.278059i 0.0254467 + 0.0101873i
\(746\) 1.56421 + 2.19662i 0.0572697 + 0.0804241i
\(747\) 6.80944 + 6.49279i 0.249144 + 0.237559i
\(748\) −6.93908 + 2.03750i −0.253718 + 0.0744983i
\(749\) 23.7693 + 9.22916i 0.868512 + 0.337226i
\(750\) −0.0579488 0.403043i −0.00211599 0.0147170i
\(751\) 11.6092 33.5425i 0.423625 1.22398i −0.508251 0.861209i \(-0.669708\pi\)
0.931876 0.362776i \(-0.118171\pi\)
\(752\) 26.3152 + 2.51280i 0.959617 + 0.0916323i
\(753\) −0.541350 11.3643i −0.0197279 0.414139i
\(754\) 0.298924 0.119671i 0.0108862 0.00435816i
\(755\) 54.7792 + 35.2045i 1.99362 + 1.28122i
\(756\) 0.694717 5.21789i 0.0252666 0.189773i
\(757\) −33.7793 9.91851i −1.22773 0.360494i −0.397338 0.917672i \(-0.630066\pi\)
−0.830393 + 0.557178i \(0.811884\pi\)
\(758\) −0.699276 1.21118i −0.0253989 0.0439921i
\(759\) 3.31443 0.984073i 0.120306 0.0357196i
\(760\) −2.40663 + 4.16841i −0.0872978 + 0.151204i
\(761\) −3.14397 12.9596i −0.113969 0.469786i −0.999981 0.00612455i \(-0.998050\pi\)
0.886012 0.463662i \(-0.153465\pi\)
\(762\) −0.517173 + 0.596849i −0.0187352 + 0.0216216i
\(763\) 12.0457 0.125723i 0.436083 0.00455148i
\(764\) −6.65569 + 46.2913i −0.240794 + 1.67476i
\(765\) 13.1754 + 6.79240i 0.476358 + 0.245580i
\(766\) −3.41708 0.326292i −0.123464 0.0117894i
\(767\) −2.88108 + 0.555282i −0.104030 + 0.0200501i
\(768\) 11.9268 9.37931i 0.430370 0.338447i
\(769\) 17.1860 37.6322i 0.619744 1.35705i −0.295961 0.955200i \(-0.595640\pi\)
0.915705 0.401851i \(-0.131633\pi\)
\(770\) −0.192843 0.538919i −0.00694958 0.0194213i
\(771\) 3.19410 0.937874i 0.115033 0.0337767i
\(772\) 34.7309 3.31640i