Properties

Label 403.2.bs.a.4.13
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

Related objects

Downloads

Learn more about

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 4.13
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.230096 + 1.08252i) q^{2} +(0.418891 + 0.465225i) q^{3} +(0.708195 + 0.315309i) q^{4} -1.86982i q^{5} +(-0.599999 + 0.346409i) q^{6} +(-2.06505 + 4.63818i) q^{7} +(-1.80528 + 2.48476i) q^{8} +(0.272620 - 2.59381i) q^{9} +O(q^{10})\) \(q+(-0.230096 + 1.08252i) q^{2} +(0.418891 + 0.465225i) q^{3} +(0.708195 + 0.315309i) q^{4} -1.86982i q^{5} +(-0.599999 + 0.346409i) q^{6} +(-2.06505 + 4.63818i) q^{7} +(-1.80528 + 2.48476i) q^{8} +(0.272620 - 2.59381i) q^{9} +(2.02411 + 0.430238i) q^{10} +(-3.75668 + 0.394843i) q^{11} +(0.149967 + 0.461550i) q^{12} +(1.50612 + 3.27591i) q^{13} +(-4.54574 - 3.30268i) q^{14} +(0.869887 - 0.783250i) q^{15} +(-1.23696 - 1.37378i) q^{16} +(-0.577548 + 5.49500i) q^{17} +(2.74511 + 0.891940i) q^{18} +(2.66944 + 2.40357i) q^{19} +(0.589570 - 1.32420i) q^{20} +(-3.02283 + 0.982177i) q^{21} +(0.436973 - 4.15752i) q^{22} +(3.75781 - 1.67308i) q^{23} +(-1.91219 + 0.200979i) q^{24} +1.50378 q^{25} +(-3.89278 + 0.876628i) q^{26} +(2.84029 - 2.06359i) q^{27} +(-2.92492 + 2.63361i) q^{28} +(-2.32166 - 0.493485i) q^{29} +(0.647723 + 1.12189i) q^{30} +(5.00354 + 2.44224i) q^{31} +(-3.54794 + 2.04840i) q^{32} +(-1.75733 - 1.58231i) q^{33} +(-5.81553 - 1.88958i) q^{34} +(8.67256 + 3.86127i) q^{35} +(1.01092 - 1.75096i) q^{36} +(-1.43140 - 0.826420i) q^{37} +(-3.21613 + 2.33665i) q^{38} +(-0.893136 + 2.07294i) q^{39} +(4.64605 + 3.37555i) q^{40} +(2.52485 - 11.8785i) q^{41} +(-0.367682 - 3.49826i) q^{42} +(3.17631 - 3.52765i) q^{43} +(-2.78496 - 0.904889i) q^{44} +(-4.84995 - 0.509751i) q^{45} +(0.946484 + 4.45286i) q^{46} +(-9.22439 - 2.99718i) q^{47} +(0.120968 - 1.15093i) q^{48} +(-12.5644 - 13.9541i) q^{49} +(-0.346013 + 1.62786i) q^{50} +(-2.79834 + 2.03311i) q^{51} +(0.0337055 + 2.79488i) q^{52} +(5.98379 + 4.34748i) q^{53} +(1.58033 + 3.54948i) q^{54} +(0.738286 + 7.02432i) q^{55} +(-7.79676 - 13.5044i) q^{56} +2.24872i q^{57} +(1.06841 - 2.39969i) q^{58} +(1.12303 + 5.28344i) q^{59} +(0.863015 - 0.280411i) q^{60} +(-3.50670 - 6.07378i) q^{61} +(-3.79506 + 4.85446i) q^{62} +(11.4676 + 6.62081i) q^{63} +(-2.54357 - 7.82829i) q^{64} +(6.12536 - 2.81618i) q^{65} +(2.11723 - 1.53826i) q^{66} +(-1.82196 - 1.05191i) q^{67} +(-2.14164 + 3.70942i) q^{68} +(2.35247 + 1.04739i) q^{69} +(-6.17541 + 8.49972i) q^{70} +(9.38573 + 0.986480i) q^{71} +(5.95283 + 5.35995i) q^{72} +(-0.663457 - 0.913171i) q^{73} +(1.22397 - 1.35936i) q^{74} +(0.629918 + 0.699595i) q^{75} +(1.13261 + 2.54389i) q^{76} +(5.92639 - 18.2395i) q^{77} +(-2.03848 - 1.44381i) q^{78} +(7.35125 + 5.34100i) q^{79} +(-2.56873 + 2.31289i) q^{80} +(-5.50350 - 1.16981i) q^{81} +(12.2777 + 5.46639i) q^{82} +(13.0675 - 4.24589i) q^{83} +(-2.45044 - 0.257552i) q^{84} +(10.2747 + 1.07991i) q^{85} +(3.08788 + 4.25010i) q^{86} +(-0.742942 - 1.28681i) q^{87} +(5.80079 - 10.0473i) q^{88} +(3.82275 - 0.401787i) q^{89} +(1.66777 - 5.13286i) q^{90} +(-18.3045 + 0.220747i) q^{91} +3.18880 q^{92} +(0.959744 + 3.35081i) q^{93} +(5.36699 - 9.29590i) q^{94} +(4.49424 - 4.99136i) q^{95} +(-2.43917 - 0.792533i) q^{96} +(-2.97258 + 6.67653i) q^{97} +(17.9966 - 10.3903i) q^{98} +9.85176i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.230096 + 1.08252i −0.162702 + 0.765454i 0.818811 + 0.574063i \(0.194633\pi\)
−0.981514 + 0.191392i \(0.938700\pi\)
\(3\) 0.418891 + 0.465225i 0.241847 + 0.268598i 0.851832 0.523814i \(-0.175491\pi\)
−0.609986 + 0.792412i \(0.708825\pi\)
\(4\) 0.708195 + 0.315309i 0.354097 + 0.157654i
\(5\) 1.86982i 0.836208i −0.908399 0.418104i \(-0.862695\pi\)
0.908399 0.418104i \(-0.137305\pi\)
\(6\) −0.599999 + 0.346409i −0.244948 + 0.141421i
\(7\) −2.06505 + 4.63818i −0.780516 + 1.75307i −0.132860 + 0.991135i \(0.542416\pi\)
−0.647656 + 0.761933i \(0.724251\pi\)
\(8\) −1.80528 + 2.48476i −0.638264 + 0.878495i
\(9\) 0.272620 2.59381i 0.0908734 0.864603i
\(10\) 2.02411 + 0.430238i 0.640079 + 0.136053i
\(11\) −3.75668 + 0.394843i −1.13268 + 0.119050i −0.652266 0.757990i \(-0.726181\pi\)
−0.480417 + 0.877040i \(0.659515\pi\)
\(12\) 0.149967 + 0.461550i 0.0432916 + 0.133238i
\(13\) 1.50612 + 3.27591i 0.417723 + 0.908574i
\(14\) −4.54574 3.30268i −1.21490 0.882677i
\(15\) 0.869887 0.783250i 0.224604 0.202234i
\(16\) −1.23696 1.37378i −0.309240 0.343446i
\(17\) −0.577548 + 5.49500i −0.140076 + 1.33273i 0.668223 + 0.743961i \(0.267055\pi\)
−0.808299 + 0.588772i \(0.799611\pi\)
\(18\) 2.74511 + 0.891940i 0.647029 + 0.210232i
\(19\) 2.66944 + 2.40357i 0.612410 + 0.551417i 0.915894 0.401420i \(-0.131483\pi\)
−0.303484 + 0.952837i \(0.598150\pi\)
\(20\) 0.589570 1.32420i 0.131832 0.296099i
\(21\) −3.02283 + 0.982177i −0.659636 + 0.214329i
\(22\) 0.436973 4.15752i 0.0931630 0.886386i
\(23\) 3.75781 1.67308i 0.783557 0.348862i 0.0243434 0.999704i \(-0.492250\pi\)
0.759214 + 0.650842i \(0.225584\pi\)
\(24\) −1.91219 + 0.200979i −0.390324 + 0.0410247i
\(25\) 1.50378 0.300755
\(26\) −3.89278 + 0.876628i −0.763437 + 0.171921i
\(27\) 2.84029 2.06359i 0.546614 0.397139i
\(28\) −2.92492 + 2.63361i −0.552757 + 0.497705i
\(29\) −2.32166 0.493485i −0.431122 0.0916378i −0.0127609 0.999919i \(-0.504062\pi\)
−0.418361 + 0.908281i \(0.637395\pi\)
\(30\) 0.647723 + 1.12189i 0.118257 + 0.204828i
\(31\) 5.00354 + 2.44224i 0.898663 + 0.438640i
\(32\) −3.54794 + 2.04840i −0.627193 + 0.362110i
\(33\) −1.75733 1.58231i −0.305912 0.275444i
\(34\) −5.81553 1.88958i −0.997356 0.324060i
\(35\) 8.67256 + 3.86127i 1.46593 + 0.652674i
\(36\) 1.01092 1.75096i 0.168486 0.291827i
\(37\) −1.43140 0.826420i −0.235321 0.135863i 0.377703 0.925927i \(-0.376714\pi\)
−0.613024 + 0.790064i \(0.710047\pi\)
\(38\) −3.21613 + 2.33665i −0.521725 + 0.379055i
\(39\) −0.893136 + 2.07294i −0.143016 + 0.331935i
\(40\) 4.64605 + 3.37555i 0.734605 + 0.533722i
\(41\) 2.52485 11.8785i 0.394316 1.85511i −0.113349 0.993555i \(-0.536158\pi\)
0.507664 0.861555i \(-0.330509\pi\)
\(42\) −0.367682 3.49826i −0.0567345 0.539793i
\(43\) 3.17631 3.52765i 0.484383 0.537961i −0.450567 0.892743i \(-0.648778\pi\)
0.934949 + 0.354781i \(0.115445\pi\)
\(44\) −2.78496 0.904889i −0.419849 0.136417i
\(45\) −4.84995 0.509751i −0.722988 0.0759891i
\(46\) 0.946484 + 4.45286i 0.139551 + 0.656538i
\(47\) −9.22439 2.99718i −1.34551 0.437184i −0.454334 0.890832i \(-0.650123\pi\)
−0.891181 + 0.453647i \(0.850123\pi\)
\(48\) 0.120968 1.15093i 0.0174602 0.166123i
\(49\) −12.5644 13.9541i −1.79491 1.99345i
\(50\) −0.346013 + 1.62786i −0.0489336 + 0.230215i
\(51\) −2.79834 + 2.03311i −0.391846 + 0.284693i
\(52\) 0.0337055 + 2.79488i 0.00467411 + 0.387580i
\(53\) 5.98379 + 4.34748i 0.821936 + 0.597172i 0.917266 0.398274i \(-0.130391\pi\)
−0.0953301 + 0.995446i \(0.530391\pi\)
\(54\) 1.58033 + 3.54948i 0.215056 + 0.483024i
\(55\) 0.738286 + 7.02432i 0.0995504 + 0.947159i
\(56\) −7.79676 13.5044i −1.04189 1.80460i
\(57\) 2.24872i 0.297851i
\(58\) 1.06841 2.39969i 0.140289 0.315095i
\(59\) 1.12303 + 5.28344i 0.146206 + 0.687845i 0.988794 + 0.149286i \(0.0476977\pi\)
−0.842588 + 0.538559i \(0.818969\pi\)
\(60\) 0.863015 0.280411i 0.111415 0.0362008i
\(61\) −3.50670 6.07378i −0.448987 0.777668i 0.549333 0.835603i \(-0.314882\pi\)
−0.998320 + 0.0579349i \(0.981548\pi\)
\(62\) −3.79506 + 4.85446i −0.481973 + 0.616518i
\(63\) 11.4676 + 6.62081i 1.44478 + 0.834144i
\(64\) −2.54357 7.82829i −0.317946 0.978536i
\(65\) 6.12536 2.81618i 0.759757 0.349304i
\(66\) 2.11723 1.53826i 0.260613 0.189346i
\(67\) −1.82196 1.05191i −0.222588 0.128511i 0.384560 0.923100i \(-0.374353\pi\)
−0.607148 + 0.794589i \(0.707686\pi\)
\(68\) −2.14164 + 3.70942i −0.259712 + 0.449834i
\(69\) 2.35247 + 1.04739i 0.283204 + 0.126091i
\(70\) −6.17541 + 8.49972i −0.738102 + 1.01591i
\(71\) 9.38573 + 0.986480i 1.11388 + 0.117074i 0.643541 0.765412i \(-0.277465\pi\)
0.470340 + 0.882485i \(0.344131\pi\)
\(72\) 5.95283 + 5.35995i 0.701548 + 0.631677i
\(73\) −0.663457 0.913171i −0.0776518 0.106879i 0.768424 0.639941i \(-0.221041\pi\)
−0.846076 + 0.533062i \(0.821041\pi\)
\(74\) 1.22397 1.35936i 0.142284 0.158022i
\(75\) 0.629918 + 0.699595i 0.0727367 + 0.0807823i
\(76\) 1.13261 + 2.54389i 0.129920 + 0.291804i
\(77\) 5.92639 18.2395i 0.675375 2.07859i
\(78\) −2.03848 1.44381i −0.230812 0.163479i
\(79\) 7.35125 + 5.34100i 0.827080 + 0.600909i 0.918732 0.394882i \(-0.129215\pi\)
−0.0916515 + 0.995791i \(0.529215\pi\)
\(80\) −2.56873 + 2.31289i −0.287193 + 0.258589i
\(81\) −5.50350 1.16981i −0.611500 0.129978i
\(82\) 12.2777 + 5.46639i 1.35585 + 0.603661i
\(83\) 13.0675 4.24589i 1.43434 0.466047i 0.514215 0.857662i \(-0.328083\pi\)
0.920129 + 0.391615i \(0.128083\pi\)
\(84\) −2.45044 0.257552i −0.267365 0.0281012i
\(85\) 10.2747 + 1.07991i 1.11444 + 0.117133i
\(86\) 3.08788 + 4.25010i 0.332975 + 0.458300i
\(87\) −0.742942 1.28681i −0.0796517 0.137961i
\(88\) 5.80079 10.0473i 0.618366 1.07104i
\(89\) 3.82275 0.401787i 0.405210 0.0425893i 0.100269 0.994960i \(-0.468030\pi\)
0.304941 + 0.952371i \(0.401363\pi\)
\(90\) 1.66777 5.13286i 0.175798 0.541051i
\(91\) −18.3045 + 0.220747i −1.91883 + 0.0231406i
\(92\) 3.18880 0.332455
\(93\) 0.959744 + 3.35081i 0.0995208 + 0.347463i
\(94\) 5.36699 9.29590i 0.553563 0.958799i
\(95\) 4.49424 4.99136i 0.461099 0.512103i
\(96\) −2.43917 0.792533i −0.248946 0.0808876i
\(97\) −2.97258 + 6.67653i −0.301820 + 0.677899i −0.999249 0.0387552i \(-0.987661\pi\)
0.697429 + 0.716654i \(0.254327\pi\)
\(98\) 17.9966 10.3903i 1.81793 1.04958i
\(99\) 9.85176i 0.990139i
\(100\) 1.06497 + 0.474154i 0.106497 + 0.0474154i
\(101\) 1.57025 0.699122i 0.156246 0.0695652i −0.327124 0.944982i \(-0.606079\pi\)
0.483370 + 0.875416i \(0.339413\pi\)
\(102\) −1.55699 3.49706i −0.154165 0.346261i
\(103\) 5.65981 + 17.4191i 0.557678 + 1.71636i 0.688765 + 0.724984i \(0.258153\pi\)
−0.131088 + 0.991371i \(0.541847\pi\)
\(104\) −10.8588 2.17159i −1.06480 0.212942i
\(105\) 1.83649 + 5.65215i 0.179223 + 0.551593i
\(106\) −6.08306 + 5.47721i −0.590839 + 0.531993i
\(107\) 4.43323 1.97380i 0.428577 0.190815i −0.181100 0.983465i \(-0.557966\pi\)
0.609677 + 0.792650i \(0.291299\pi\)
\(108\) 2.66215 0.565857i 0.256165 0.0544496i
\(109\) 7.43935 + 2.41719i 0.712561 + 0.231525i 0.642795 0.766038i \(-0.277775\pi\)
0.0697659 + 0.997563i \(0.477775\pi\)
\(110\) −7.77381 0.817060i −0.741204 0.0779037i
\(111\) −0.215129 1.01210i −0.0204192 0.0960647i
\(112\) 8.92625 2.90031i 0.843451 0.274054i
\(113\) −5.42226 2.41414i −0.510083 0.227104i 0.135523 0.990774i \(-0.456729\pi\)
−0.645606 + 0.763671i \(0.723395\pi\)
\(114\) −2.43428 0.517422i −0.227991 0.0484610i
\(115\) −3.12836 7.02642i −0.291721 0.655217i
\(116\) −1.48859 1.08152i −0.138212 0.100417i
\(117\) 8.90769 3.01352i 0.823516 0.278600i
\(118\) −5.97781 −0.550302
\(119\) −24.2941 14.0262i −2.22704 1.28578i
\(120\) 0.375795 + 3.57545i 0.0343052 + 0.326392i
\(121\) 3.19715 0.679574i 0.290650 0.0617795i
\(122\) 7.38184 2.39851i 0.668321 0.217151i
\(123\) 6.58382 3.80117i 0.593643 0.342740i
\(124\) 2.77342 + 3.30724i 0.249061 + 0.296999i
\(125\) 12.1609i 1.08770i
\(126\) −9.80577 + 10.8904i −0.873568 + 0.970195i
\(127\) −12.2392 13.5931i −1.08606 1.20619i −0.977242 0.212127i \(-0.931961\pi\)
−0.108815 0.994062i \(-0.534706\pi\)
\(128\) 0.910788 0.0957277i 0.0805030 0.00846121i
\(129\) 2.97168 0.261642
\(130\) 1.63914 + 7.27879i 0.143762 + 0.638392i
\(131\) −10.5883 + 7.69283i −0.925102 + 0.672126i −0.944789 0.327680i \(-0.893733\pi\)
0.0196866 + 0.999806i \(0.493733\pi\)
\(132\) −0.745617 1.67468i −0.0648977 0.145763i
\(133\) −16.6607 + 7.41783i −1.44467 + 0.643207i
\(134\) 1.55793 1.73026i 0.134585 0.149472i
\(135\) −3.85854 5.31083i −0.332091 0.457084i
\(136\) −12.6111 11.3551i −1.08139 0.973691i
\(137\) −0.733303 3.44992i −0.0626503 0.294747i 0.935657 0.352912i \(-0.114808\pi\)
−0.998307 + 0.0581650i \(0.981475\pi\)
\(138\) −1.67511 + 2.30559i −0.142595 + 0.196265i
\(139\) 16.8947 3.59109i 1.43299 0.304592i 0.574958 0.818183i \(-0.305018\pi\)
0.858035 + 0.513591i \(0.171685\pi\)
\(140\) 4.92437 + 5.46906i 0.416185 + 0.462220i
\(141\) −2.46964 5.54691i −0.207982 0.467134i
\(142\) −3.22750 + 9.93321i −0.270846 + 0.833577i
\(143\) −6.95150 11.7119i −0.581314 0.979396i
\(144\) −3.90056 + 2.83392i −0.325046 + 0.236160i
\(145\) −0.922727 + 4.34109i −0.0766283 + 0.360508i
\(146\) 1.14118 0.508086i 0.0944447 0.0420495i
\(147\) 1.22872 11.6905i 0.101343 0.964219i
\(148\) −0.753134 1.03660i −0.0619072 0.0852079i
\(149\) 6.25791 3.61301i 0.512668 0.295989i −0.221262 0.975215i \(-0.571017\pi\)
0.733930 + 0.679225i \(0.237684\pi\)
\(150\) −0.902264 + 0.520923i −0.0736696 + 0.0425332i
\(151\) 8.59010 + 11.8233i 0.699052 + 0.962163i 0.999964 + 0.00851075i \(0.00270909\pi\)
−0.300912 + 0.953652i \(0.597291\pi\)
\(152\) −10.7914 + 2.29378i −0.875296 + 0.186050i
\(153\) 14.0955 + 2.99610i 1.13956 + 0.242220i
\(154\) 18.3810 + 10.6123i 1.48118 + 0.855160i
\(155\) 4.56655 9.35572i 0.366794 0.751469i
\(156\) −1.28613 + 1.18643i −0.102973 + 0.0949903i
\(157\) 2.46950 + 7.60033i 0.197087 + 0.606572i 0.999946 + 0.0104026i \(0.00331132\pi\)
−0.802859 + 0.596169i \(0.796689\pi\)
\(158\) −7.47320 + 6.72890i −0.594536 + 0.535323i
\(159\) 0.483997 + 4.60493i 0.0383835 + 0.365194i
\(160\) 3.83014 + 6.63400i 0.302799 + 0.524464i
\(161\) 20.8844i 1.64592i
\(162\) 2.53266 5.68846i 0.198985 0.446928i
\(163\) −2.55167 0.268191i −0.199862 0.0210064i 0.00406837 0.999992i \(-0.498705\pi\)
−0.203931 + 0.978985i \(0.565372\pi\)
\(164\) 5.53348 7.61618i 0.432092 0.594724i
\(165\) −2.95863 + 3.28589i −0.230329 + 0.255806i
\(166\) 1.58946 + 15.1227i 0.123366 + 1.17375i
\(167\) −0.0552247 + 0.259812i −0.00427342 + 0.0201049i −0.980233 0.197848i \(-0.936605\pi\)
0.975959 + 0.217953i \(0.0699380\pi\)
\(168\) 3.01659 9.28411i 0.232735 0.716285i
\(169\) −8.46319 + 9.86785i −0.651014 + 0.759065i
\(170\) −3.53317 + 10.8740i −0.270982 + 0.833997i
\(171\) 6.96214 6.26874i 0.532408 0.479383i
\(172\) 3.36174 1.49674i 0.256330 0.114126i
\(173\) −5.51375 + 1.17198i −0.419203 + 0.0891043i −0.412684 0.910874i \(-0.635409\pi\)
−0.00651929 + 0.999979i \(0.502075\pi\)
\(174\) 1.56394 0.508156i 0.118562 0.0385232i
\(175\) −3.10538 + 6.97479i −0.234744 + 0.527245i
\(176\) 5.18930 + 4.67247i 0.391158 + 0.352201i
\(177\) −1.98756 + 2.73565i −0.149394 + 0.205624i
\(178\) −0.444657 + 4.23063i −0.0333285 + 0.317099i
\(179\) 1.53054 + 14.5621i 0.114398 + 1.08842i 0.889610 + 0.456721i \(0.150976\pi\)
−0.775212 + 0.631701i \(0.782357\pi\)
\(180\) −3.27398 1.89023i −0.244028 0.140890i
\(181\) −1.06761 −0.0793547 −0.0396774 0.999213i \(-0.512633\pi\)
−0.0396774 + 0.999213i \(0.512633\pi\)
\(182\) 3.97282 19.8657i 0.294485 1.47254i
\(183\) 1.35675 4.17566i 0.100294 0.308674i
\(184\) −2.62670 + 12.3576i −0.193643 + 0.911017i
\(185\) −1.54526 + 2.67646i −0.113609 + 0.196777i
\(186\) −3.84814 + 0.267931i −0.282159 + 0.0196457i
\(187\) 20.8710i 1.52624i
\(188\) −5.58762 5.03112i −0.407519 0.366932i
\(189\) 3.70597 + 17.4352i 0.269570 + 1.26823i
\(190\) 4.36912 + 6.01358i 0.316969 + 0.436271i
\(191\) −0.696383 1.20617i −0.0503885 0.0872754i 0.839731 0.543003i \(-0.182713\pi\)
−0.890120 + 0.455727i \(0.849379\pi\)
\(192\) 2.57644 4.46253i 0.185939 0.322055i
\(193\) −7.99490 + 0.840298i −0.575486 + 0.0604860i −0.387801 0.921743i \(-0.626765\pi\)
−0.187685 + 0.982229i \(0.560098\pi\)
\(194\) −6.54347 4.75411i −0.469794 0.341325i
\(195\) 3.87601 + 1.67000i 0.277567 + 0.119591i
\(196\) −4.49816 13.8439i −0.321297 0.988851i
\(197\) 4.56705 0.480017i 0.325389 0.0341998i 0.0595743 0.998224i \(-0.481026\pi\)
0.265815 + 0.964024i \(0.414359\pi\)
\(198\) −10.6647 2.26685i −0.757906 0.161098i
\(199\) −3.70714 + 0.787978i −0.262793 + 0.0558583i −0.337424 0.941353i \(-0.609555\pi\)
0.0746310 + 0.997211i \(0.476222\pi\)
\(200\) −2.71474 + 3.73652i −0.191961 + 0.264212i
\(201\) −0.273828 1.28826i −0.0193143 0.0908667i
\(202\) 0.395502 + 1.86069i 0.0278274 + 0.130918i
\(203\) 7.08323 9.74922i 0.497145 0.684261i
\(204\) −2.62283 + 0.557500i −0.183635 + 0.0390328i
\(205\) −22.2106 4.72102i −1.55126 0.329730i
\(206\) −20.1588 + 2.11877i −1.40453 + 0.147622i
\(207\) −3.31520 10.2031i −0.230423 0.709168i
\(208\) 2.63738 6.12126i 0.182869 0.424433i
\(209\) −10.9773 7.97544i −0.759313 0.551673i
\(210\) −6.54111 + 0.687498i −0.451379 + 0.0474419i
\(211\) −0.152182 + 0.263587i −0.0104766 + 0.0181461i −0.871216 0.490900i \(-0.836668\pi\)
0.860740 + 0.509046i \(0.170002\pi\)
\(212\) 2.86689 + 4.96560i 0.196899 + 0.341039i
\(213\) 3.47266 + 4.77971i 0.237943 + 0.327500i
\(214\) 1.11660 + 5.25321i 0.0763294 + 0.359102i
\(215\) −6.59606 5.93912i −0.449848 0.405045i
\(216\) 10.7828i 0.733677i
\(217\) −21.6601 + 18.1640i −1.47039 + 1.23305i
\(218\) −4.32841 + 7.49703i −0.293157 + 0.507763i
\(219\) 0.146914 0.691176i 0.00992753 0.0467053i
\(220\) −1.69198 + 5.20737i −0.114073 + 0.351081i
\(221\) −18.8710 + 6.38415i −1.26940 + 0.429444i
\(222\) 1.14512 0.0768553
\(223\) −4.51476 2.60660i −0.302331 0.174551i 0.341159 0.940006i \(-0.389181\pi\)
−0.643489 + 0.765455i \(0.722514\pi\)
\(224\) −2.17419 20.6860i −0.145269 1.38214i
\(225\) 0.409960 3.90051i 0.0273307 0.260034i
\(226\) 3.86099 5.31419i 0.256829 0.353495i
\(227\) −11.0681 9.96576i −0.734615 0.661451i 0.214377 0.976751i \(-0.431228\pi\)
−0.948992 + 0.315300i \(0.897895\pi\)
\(228\) −0.709041 + 1.59253i −0.0469574 + 0.105468i
\(229\) 11.4038 3.70530i 0.753581 0.244853i 0.0930596 0.995661i \(-0.470335\pi\)
0.660521 + 0.750807i \(0.270335\pi\)
\(230\) 8.32603 1.76975i 0.549002 0.116694i
\(231\) 10.9680 4.88327i 0.721642 0.321296i
\(232\) 5.41745 4.87789i 0.355673 0.320249i
\(233\) −0.882143 + 2.71496i −0.0577911 + 0.177863i −0.975785 0.218732i \(-0.929808\pi\)
0.917994 + 0.396594i \(0.129808\pi\)
\(234\) 1.21256 + 10.3361i 0.0792673 + 0.675692i
\(235\) −5.60419 + 17.2479i −0.365577 + 1.12513i
\(236\) −0.870590 + 4.09580i −0.0566706 + 0.266614i
\(237\) 0.594604 + 5.65728i 0.0386237 + 0.367480i
\(238\) 20.7736 23.0714i 1.34655 1.49550i
\(239\) −12.5875 + 17.3252i −0.814215 + 1.12067i 0.176444 + 0.984311i \(0.443541\pi\)
−0.990659 + 0.136360i \(0.956459\pi\)
\(240\) −2.15203 0.226188i −0.138913 0.0146004i
\(241\) 0.346690 0.778679i 0.0223323 0.0501591i −0.902035 0.431663i \(-0.857927\pi\)
0.924367 + 0.381504i \(0.124594\pi\)
\(242\) 3.61733i 0.232531i
\(243\) −7.02733 12.1717i −0.450804 0.780815i
\(244\) −0.568311 5.40711i −0.0363824 0.346155i
\(245\) −26.0917 + 23.4931i −1.66694 + 1.50092i
\(246\) 2.59992 + 8.00172i 0.165765 + 0.510171i
\(247\) −3.85338 + 12.3649i −0.245185 + 0.786760i
\(248\) −15.1012 + 8.02366i −0.958927 + 0.509503i
\(249\) 7.44915 + 4.30077i 0.472070 + 0.272550i
\(250\) 13.1644 + 2.79817i 0.832587 + 0.176972i
\(251\) 14.0084 2.97759i 0.884205 0.187944i 0.256639 0.966507i \(-0.417385\pi\)
0.627566 + 0.778564i \(0.284051\pi\)
\(252\) 6.03368 + 8.30465i 0.380086 + 0.523144i
\(253\) −13.4563 + 7.76899i −0.845990 + 0.488432i
\(254\) 17.5309 10.1215i 1.09999 0.635078i
\(255\) 3.80156 + 5.23239i 0.238063 + 0.327665i
\(256\) 1.61484 15.3642i 0.100927 0.960260i
\(257\) 2.30301 1.02537i 0.143658 0.0639606i −0.333649 0.942698i \(-0.608280\pi\)
0.477306 + 0.878737i \(0.341613\pi\)
\(258\) −0.683771 + 3.21689i −0.0425697 + 0.200275i
\(259\) 6.78900 4.93250i 0.421848 0.306491i
\(260\) 5.22591 0.0630231i 0.324097 0.00390853i
\(261\) −1.91294 + 5.88742i −0.118408 + 0.364422i
\(262\) −5.89130 13.2321i −0.363965 0.817480i
\(263\) 10.4511 + 11.6071i 0.644441 + 0.715724i 0.973526 0.228576i \(-0.0734071\pi\)
−0.329085 + 0.944300i \(0.606740\pi\)
\(264\) 7.10413 1.51003i 0.437229 0.0929359i
\(265\) 8.12899 11.1886i 0.499360 0.687310i
\(266\) −4.19635 19.7423i −0.257295 1.21048i
\(267\) 1.78823 + 1.61013i 0.109438 + 0.0985386i
\(268\) −0.958627 1.31944i −0.0585574 0.0805974i
\(269\) 18.8524 20.9377i 1.14945 1.27659i 0.194145 0.980973i \(-0.437807\pi\)
0.955305 0.295621i \(-0.0955264\pi\)
\(270\) 6.63689 2.95494i 0.403908 0.179832i
\(271\) −3.98703 8.95502i −0.242195 0.543979i 0.751019 0.660281i \(-0.229563\pi\)
−0.993214 + 0.116302i \(0.962896\pi\)
\(272\) 8.26335 6.00368i 0.501039 0.364026i
\(273\) −7.77028 8.42324i −0.470279 0.509798i
\(274\) 3.90332 0.235808
\(275\) −5.64922 + 0.593756i −0.340660 + 0.0358049i
\(276\) 1.33576 + 1.48351i 0.0804032 + 0.0892967i
\(277\) −4.55785 + 5.06201i −0.273855 + 0.304146i −0.864346 0.502897i \(-0.832267\pi\)
0.590491 + 0.807044i \(0.298934\pi\)
\(278\) 19.1151i 1.14645i
\(279\) 7.69878 12.3124i 0.460914 0.737126i
\(280\) −25.2507 + 14.5785i −1.50902 + 0.871234i
\(281\) −16.4291 + 5.33813i −0.980077 + 0.318446i −0.754877 0.655866i \(-0.772304\pi\)
−0.225200 + 0.974313i \(0.572304\pi\)
\(282\) 6.57287 1.39711i 0.391409 0.0831965i
\(283\) −1.91496 18.2196i −0.113833 1.08305i −0.891079 0.453849i \(-0.850051\pi\)
0.777246 0.629197i \(-0.216616\pi\)
\(284\) 6.33588 + 3.65802i 0.375965 + 0.217064i
\(285\) 4.20470 0.249065
\(286\) 14.2778 4.83025i 0.844264 0.285619i
\(287\) 49.8807 + 36.2404i 2.94436 + 2.13921i
\(288\) 4.34592 + 9.76111i 0.256086 + 0.575179i
\(289\) −13.2330 2.81275i −0.778409 0.165456i
\(290\) −4.48698 1.99773i −0.263485 0.117311i
\(291\) −4.35128 + 1.41382i −0.255076 + 0.0828794i
\(292\) −0.181926 0.855896i −0.0106464 0.0500875i
\(293\) 21.9132 + 2.30317i 1.28018 + 0.134553i 0.720092 0.693879i \(-0.244100\pi\)
0.560091 + 0.828431i \(0.310766\pi\)
\(294\) 12.3725 + 4.02005i 0.721576 + 0.234454i
\(295\) 9.87907 2.09986i 0.575182 0.122259i
\(296\) 4.63754 2.06477i 0.269551 0.120012i
\(297\) −9.85528 + 8.87374i −0.571861 + 0.514906i
\(298\) 2.47122 + 7.60563i 0.143154 + 0.440582i
\(299\) 11.1406 + 9.79037i 0.644277 + 0.566192i
\(300\) 0.225516 + 0.694068i 0.0130202 + 0.0400721i
\(301\) 9.80263 + 22.0171i 0.565014 + 1.26904i
\(302\) −14.7754 + 6.57843i −0.850229 + 0.378546i
\(303\) 0.983014 + 0.437666i 0.0564727 + 0.0251432i
\(304\) 6.64035i 0.380850i
\(305\) −11.3569 + 6.55690i −0.650293 + 0.375447i
\(306\) −6.48664 + 14.5692i −0.370817 + 0.832868i
\(307\) −31.5644 10.2559i −1.80148 0.585335i −0.801554 0.597922i \(-0.795993\pi\)
−0.999921 + 0.0125871i \(0.995993\pi\)
\(308\) 9.94812 11.0485i 0.566847 0.629547i
\(309\) −5.73297 + 9.92979i −0.326137 + 0.564886i
\(310\) 9.07697 + 7.09608i 0.515537 + 0.403030i
\(311\) −12.4348 −0.705113 −0.352557 0.935790i \(-0.614688\pi\)
−0.352557 + 0.935790i \(0.614688\pi\)
\(312\) −3.53838 5.96146i −0.200321 0.337501i
\(313\) 10.4482 32.1562i 0.590565 1.81757i 0.0148990 0.999889i \(-0.495257\pi\)
0.575666 0.817685i \(-0.304743\pi\)
\(314\) −8.79569 + 0.924464i −0.496370 + 0.0521705i
\(315\) 12.3797 21.4423i 0.697518 1.20814i
\(316\) 3.52205 + 6.10038i 0.198131 + 0.343173i
\(317\) −9.55434 13.1504i −0.536625 0.738602i 0.451497 0.892273i \(-0.350890\pi\)
−0.988122 + 0.153671i \(0.950890\pi\)
\(318\) −5.09627 0.535640i −0.285785 0.0300372i
\(319\) 8.91660 + 0.937173i 0.499234 + 0.0524716i
\(320\) −14.6375 + 4.75601i −0.818260 + 0.265869i
\(321\) 2.77530 + 1.23564i 0.154902 + 0.0689669i
\(322\) −22.6077 4.80541i −1.25988 0.267795i
\(323\) −14.7493 + 13.2804i −0.820676 + 0.738940i
\(324\) −3.52870 2.56375i −0.196039 0.142431i
\(325\) 2.26487 + 4.92624i 0.125633 + 0.273259i
\(326\) 0.877450 2.70051i 0.0485974 0.149568i
\(327\) 1.99174 + 4.47352i 0.110143 + 0.247386i
\(328\) 24.9571 + 27.7177i 1.37803 + 1.53045i
\(329\) 32.9503 36.5950i 1.81661 2.01755i
\(330\) −2.87626 3.95883i −0.158333 0.217927i
\(331\) −5.15970 4.64582i −0.283603 0.255357i 0.515035 0.857169i \(-0.327779\pi\)
−0.798638 + 0.601812i \(0.794446\pi\)
\(332\) 10.5931 + 1.11338i 0.581372 + 0.0611046i
\(333\) −2.53380 + 3.48748i −0.138852 + 0.191113i
\(334\) −0.268544 0.119563i −0.0146941 0.00654221i
\(335\) −1.96688 + 3.40674i −0.107462 + 0.186130i
\(336\) 5.08842 + 2.93780i 0.277596 + 0.160270i
\(337\) −12.8373 + 9.32684i −0.699292 + 0.508066i −0.879702 0.475526i \(-0.842258\pi\)
0.180409 + 0.983592i \(0.442258\pi\)
\(338\) −8.73476 11.4321i −0.475108 0.621823i
\(339\) −1.14821 3.53383i −0.0623623 0.191932i
\(340\) 6.93595 + 4.00447i 0.376155 + 0.217173i
\(341\) −19.7610 7.19912i −1.07012 0.389854i
\(342\) 5.18405 + 8.97904i 0.280321 + 0.485531i
\(343\) 56.8675 18.4774i 3.07056 0.997685i
\(344\) 3.03122 + 14.2608i 0.163432 + 0.768889i
\(345\) 1.95843 4.39870i 0.105438 0.236818i
\(346\) 6.23839i 0.335378i
\(347\) 9.37929 + 16.2454i 0.503506 + 0.872099i 0.999992 + 0.00405361i \(0.00129031\pi\)
−0.496485 + 0.868045i \(0.665376\pi\)
\(348\) −0.120404 1.14557i −0.00645435 0.0614090i
\(349\) 2.69709 + 6.05777i 0.144372 + 0.324265i 0.971229 0.238147i \(-0.0765401\pi\)
−0.826857 + 0.562412i \(0.809873\pi\)
\(350\) −6.83579 4.96649i −0.365388 0.265470i
\(351\) 11.0380 + 6.19652i 0.589164 + 0.330746i
\(352\) 12.5197 9.09608i 0.667301 0.484823i
\(353\) −3.04650 + 14.3326i −0.162149 + 0.762850i 0.819641 + 0.572878i \(0.194173\pi\)
−0.981790 + 0.189972i \(0.939160\pi\)
\(354\) −2.50405 2.78103i −0.133089 0.147810i
\(355\) 1.84454 17.5496i 0.0978979 0.931437i
\(356\) 2.83393 + 0.920801i 0.150198 + 0.0488024i
\(357\) −3.65123 17.1777i −0.193244 0.909141i
\(358\) −16.1159 1.69385i −0.851750 0.0895225i
\(359\) −18.3948 5.97684i −0.970842 0.315446i −0.219686 0.975571i \(-0.570503\pi\)
−0.751156 + 0.660125i \(0.770503\pi\)
\(360\) 10.0221 11.1307i 0.528213 0.586640i
\(361\) −0.637306 6.06356i −0.0335424 0.319135i
\(362\) 0.245652 1.15570i 0.0129112 0.0607424i
\(363\) 1.65541 + 1.20273i 0.0868865 + 0.0631267i
\(364\) −13.0327 5.61523i −0.683101 0.294318i
\(365\) −1.70746 + 1.24054i −0.0893727 + 0.0649331i
\(366\) 4.20803 + 2.42951i 0.219957 + 0.126992i
\(367\) 16.7968 29.0929i 0.876786 1.51864i 0.0219385 0.999759i \(-0.493016\pi\)
0.854848 0.518879i \(-0.173650\pi\)
\(368\) −6.94672 3.09288i −0.362123 0.161227i
\(369\) −30.1222 9.78731i −1.56810 0.509507i
\(370\) −2.54175 2.28861i −0.132140 0.118979i
\(371\) −32.5212 + 18.7761i −1.68842 + 0.974808i
\(372\) −0.376853 + 2.67564i −0.0195389 + 0.138725i
\(373\) −4.08129 7.06900i −0.211321 0.366019i 0.740807 0.671718i \(-0.234443\pi\)
−0.952128 + 0.305699i \(0.901110\pi\)
\(374\) 22.5932 + 4.80233i 1.16827 + 0.248323i
\(375\) 5.65755 5.09408i 0.292155 0.263057i
\(376\) 24.0999 17.5096i 1.24286 0.902989i
\(377\) −1.88010 8.34881i −0.0968300 0.429986i
\(378\) −19.7266 −1.01463
\(379\) 28.5053 2.99603i 1.46422 0.153896i 0.661361 0.750067i \(-0.269979\pi\)
0.802857 + 0.596172i \(0.203312\pi\)
\(380\) 4.75662 2.11778i 0.244009 0.108640i
\(381\) 1.19693 11.3880i 0.0613205 0.583426i
\(382\) 1.46593 0.476311i 0.0750037 0.0243702i
\(383\) −8.17003 + 18.3502i −0.417469 + 0.937651i 0.575337 + 0.817917i \(0.304871\pi\)
−0.992806 + 0.119735i \(0.961796\pi\)
\(384\) 0.426056 + 0.383622i 0.0217421 + 0.0195766i
\(385\) −34.1047 11.0813i −1.73813 0.564754i
\(386\) 0.929958 8.84796i 0.0473336 0.450349i
\(387\) −8.28412 9.20044i −0.421105 0.467685i
\(388\) −4.21033 + 3.79100i −0.213747 + 0.192459i
\(389\) 1.36586 + 0.992353i 0.0692517 + 0.0503143i 0.621872 0.783119i \(-0.286372\pi\)
−0.552621 + 0.833433i \(0.686372\pi\)
\(390\) −2.69966 + 3.81159i −0.136703 + 0.193007i
\(391\) 7.02328 + 21.6154i 0.355183 + 1.09314i
\(392\) 57.3549 6.02825i 2.89686 0.304472i
\(393\) −8.01423 1.70348i −0.404265 0.0859291i
\(394\) −0.531234 + 5.05436i −0.0267632 + 0.254635i
\(395\) 9.98669 13.7455i 0.502485 0.691611i
\(396\) −3.10634 + 6.97696i −0.156100 + 0.350606i
\(397\) 22.4522 12.9628i 1.12684 0.650583i 0.183704 0.982982i \(-0.441191\pi\)
0.943139 + 0.332398i \(0.107858\pi\)
\(398\) 4.19435i 0.210244i
\(399\) −10.4300 4.64373i −0.522152 0.232477i
\(400\) −1.86011 2.06587i −0.0930057 0.103293i
\(401\) −3.72268 + 17.5138i −0.185902 + 0.874599i 0.782002 + 0.623276i \(0.214199\pi\)
−0.967903 + 0.251322i \(0.919135\pi\)
\(402\) 1.45757 0.0726967
\(403\) −0.464623 + 20.0695i −0.0231445 + 0.999732i
\(404\) 1.33248 0.0662936
\(405\) −2.18732 + 10.2905i −0.108689 + 0.511342i
\(406\) 8.92387 + 9.91096i 0.442884 + 0.491873i
\(407\) 5.70363 + 2.53942i 0.282718 + 0.125874i
\(408\) 10.6236i 0.525944i
\(409\) 25.5035 14.7245i 1.26107 0.728077i 0.287786 0.957695i \(-0.407081\pi\)
0.973281 + 0.229617i \(0.0737474\pi\)
\(410\) 10.2212 22.9571i 0.504787 1.13377i
\(411\) 1.29782 1.78629i 0.0640166 0.0881113i
\(412\) −1.48415 + 14.1207i −0.0731186 + 0.695677i
\(413\) −26.8247 5.70176i −1.31996 0.280565i
\(414\) 11.8079 1.24106i 0.580326 0.0609947i
\(415\) −7.93904 24.4338i −0.389712 1.19941i
\(416\) −12.0540 8.53758i −0.590997 0.418589i
\(417\) 8.74772 + 6.35559i 0.428377 + 0.311234i
\(418\) 11.1594 10.0479i 0.545822 0.491461i
\(419\) 5.94783 + 6.60574i 0.290571 + 0.322711i 0.870701 0.491812i \(-0.163665\pi\)
−0.580131 + 0.814523i \(0.696999\pi\)
\(420\) −0.481575 + 4.58188i −0.0234985 + 0.223573i
\(421\) −7.15387 2.32443i −0.348659 0.113286i 0.129452 0.991586i \(-0.458678\pi\)
−0.478111 + 0.878300i \(0.658678\pi\)
\(422\) −0.250321 0.225390i −0.0121854 0.0109718i
\(423\) −10.2889 + 23.1092i −0.500262 + 1.12361i
\(424\) −21.6049 + 7.01984i −1.04922 + 0.340914i
\(425\) −0.868503 + 8.26326i −0.0421286 + 0.400827i
\(426\) −5.97315 + 2.65942i −0.289400 + 0.128849i
\(427\) 35.4128 3.72204i 1.71375 0.180122i
\(428\) 3.76195 0.181841
\(429\) 2.53674 8.14001i 0.122475 0.393003i
\(430\) 7.94692 5.77378i 0.383235 0.278436i
\(431\) −8.49052 + 7.64490i −0.408974 + 0.368242i −0.847787 0.530336i \(-0.822066\pi\)
0.438813 + 0.898578i \(0.355399\pi\)
\(432\) −6.34826 1.34937i −0.305431 0.0649214i
\(433\) 9.34263 + 16.1819i 0.448978 + 0.777653i 0.998320 0.0579449i \(-0.0184548\pi\)
−0.549342 + 0.835598i \(0.685121\pi\)
\(434\) −14.6789 27.6269i −0.704609 1.32613i
\(435\) −2.40611 + 1.38917i −0.115364 + 0.0666054i
\(436\) 4.50635 + 4.05753i 0.215815 + 0.194321i
\(437\) 14.0526 + 4.56597i 0.672227 + 0.218420i
\(438\) 0.714404 + 0.318073i 0.0341356 + 0.0151981i
\(439\) −12.9957 + 22.5091i −0.620249 + 1.07430i 0.369190 + 0.929354i \(0.379635\pi\)
−0.989439 + 0.144949i \(0.953698\pi\)
\(440\) −18.7865 10.8464i −0.895614 0.517083i
\(441\) −39.6197 + 28.7854i −1.88665 + 1.37073i
\(442\) −2.56881 21.8971i −0.122186 1.04154i
\(443\) −21.8461 15.8721i −1.03794 0.754108i −0.0680585 0.997681i \(-0.521680\pi\)
−0.969883 + 0.243573i \(0.921680\pi\)
\(444\) 0.166772 0.784599i 0.00791463 0.0372354i
\(445\) −0.751268 7.14784i −0.0356135 0.338840i
\(446\) 3.86051 4.28753i 0.182801 0.203021i
\(447\) 4.30225 + 1.39788i 0.203489 + 0.0661177i
\(448\) 41.5616 + 4.36830i 1.96360 + 0.206383i
\(449\) −5.46714 25.7209i −0.258010 1.21384i −0.896090 0.443873i \(-0.853604\pi\)
0.638080 0.769970i \(-0.279729\pi\)
\(450\) 4.12803 + 1.34128i 0.194597 + 0.0632285i
\(451\) −4.79493 + 45.6207i −0.225784 + 2.14819i
\(452\) −3.07881 3.41937i −0.144815 0.160834i
\(453\) −1.90217 + 8.94898i −0.0893715 + 0.420460i
\(454\) 13.3348 9.68831i 0.625834 0.454695i
\(455\) 0.412757 + 34.2261i 0.0193504 + 1.60454i
\(456\) −5.58753 4.05958i −0.261660 0.190107i
\(457\) −10.3632 23.2761i −0.484769 1.08881i −0.975998 0.217779i \(-0.930119\pi\)
0.491229 0.871031i \(-0.336548\pi\)
\(458\) 1.38709 + 13.1973i 0.0648146 + 0.616670i
\(459\) 9.69904 + 16.7992i 0.452712 + 0.784121i
\(460\) 5.96247i 0.278002i
\(461\) −1.55490 + 3.49236i −0.0724189 + 0.162655i −0.946128 0.323794i \(-0.895042\pi\)
0.873709 + 0.486449i \(0.161708\pi\)
\(462\) 2.76253 + 12.9967i 0.128524 + 0.604660i
\(463\) −11.8021 + 3.83474i −0.548490 + 0.178215i −0.570136 0.821550i \(-0.693109\pi\)
0.0216457 + 0.999766i \(0.493109\pi\)
\(464\) 2.19387 + 3.79989i 0.101848 + 0.176405i
\(465\) 6.26541 1.79455i 0.290551 0.0832202i
\(466\) −2.73601 1.57963i −0.126743 0.0731751i
\(467\) −2.38518 7.34083i −0.110373 0.339693i 0.880581 0.473896i \(-0.157153\pi\)
−0.990954 + 0.134203i \(0.957153\pi\)
\(468\) 7.25856 + 0.674514i 0.335527 + 0.0311794i
\(469\) 8.64139 6.27834i 0.399022 0.289907i
\(470\) −17.3817 10.0353i −0.801756 0.462894i
\(471\) −2.50141 + 4.33258i −0.115259 + 0.199635i
\(472\) −15.1555 6.74764i −0.697586 0.310585i
\(473\) −10.5395 + 14.5064i −0.484608 + 0.667005i
\(474\) −6.26091 0.658048i −0.287573 0.0302252i
\(475\) 4.01424 + 3.61443i 0.184186 + 0.165842i
\(476\) −12.7824 17.5934i −0.585880 0.806394i
\(477\) 12.9078 14.3356i 0.591009 0.656381i
\(478\) −15.8584 17.6126i −0.725348 0.805580i
\(479\) −13.0083 29.2171i −0.594363 1.33496i −0.920908 0.389780i \(-0.872551\pi\)
0.326545 0.945182i \(-0.394115\pi\)
\(480\) −1.48189 + 4.56080i −0.0676389 + 0.208171i
\(481\) 0.551412 5.93383i 0.0251422 0.270560i
\(482\) 0.763160 + 0.554468i 0.0347610 + 0.0252553i
\(483\) −9.71595 + 8.74828i −0.442091 + 0.398061i
\(484\) 2.47848 + 0.526817i 0.112658 + 0.0239462i
\(485\) 12.4839 + 5.55819i 0.566865 + 0.252384i
\(486\) 14.7930 4.80654i 0.671025 0.218029i
\(487\) 1.10893 + 0.116553i 0.0502502 + 0.00528151i 0.129620 0.991564i \(-0.458624\pi\)
−0.0793700 + 0.996845i \(0.525291\pi\)
\(488\) 21.4225 + 2.25159i 0.969750 + 0.101925i
\(489\) −0.944101 1.29944i −0.0426937 0.0587629i
\(490\) −19.4281 33.6504i −0.877670 1.52017i
\(491\) −3.40828 + 5.90332i −0.153814 + 0.266413i −0.932626 0.360843i \(-0.882489\pi\)
0.778813 + 0.627257i \(0.215822\pi\)
\(492\) 5.86117 0.616033i 0.264242 0.0277729i
\(493\) 4.05257 12.4725i 0.182519 0.561734i
\(494\) −12.4986 7.01646i −0.562337 0.315686i
\(495\) 18.4210 0.827963
\(496\) −2.83407 9.89475i −0.127254 0.444288i
\(497\) −23.9575 + 41.4956i −1.07464 + 1.86133i
\(498\) −6.36967 + 7.07423i −0.285432 + 0.317004i
\(499\) −29.5173 9.59074i −1.32137 0.429340i −0.438407 0.898776i \(-0.644457\pi\)
−0.882966 + 0.469436i \(0.844457\pi\)
\(500\) 3.83443 8.61227i 0.171481 0.385153i
\(501\) −0.144004 + 0.0831409i −0.00643364 + 0.00371446i
\(502\) 15.8495i 0.707397i
\(503\) 17.1672 + 7.64335i 0.765450 + 0.340800i 0.752046 0.659110i \(-0.229067\pi\)
0.0134031 + 0.999910i \(0.495734\pi\)
\(504\) −37.1533 + 16.5417i −1.65494 + 0.736827i
\(505\) −1.30723 2.93609i −0.0581710 0.130654i
\(506\) −5.31382 16.3543i −0.236228 0.727035i
\(507\) −8.13592 + 0.196263i −0.361329 + 0.00871633i
\(508\) −4.38176 13.4857i −0.194409 0.598330i
\(509\) 19.7314 17.7662i 0.874579 0.787475i −0.103734 0.994605i \(-0.533079\pi\)
0.978313 + 0.207130i \(0.0664124\pi\)
\(510\) −6.53887 + 2.91129i −0.289546 + 0.128914i
\(511\) 5.60552 1.19149i 0.247974 0.0527085i
\(512\) 18.0023 + 5.84931i 0.795598 + 0.258506i
\(513\) 12.5420 + 1.31821i 0.553741 + 0.0582006i
\(514\) 0.580062 + 2.72898i 0.0255854 + 0.120370i
\(515\) 32.5706 10.5828i 1.43523 0.466335i
\(516\) 2.10453 + 0.936995i 0.0926466 + 0.0412489i
\(517\) 35.8365 + 7.61729i 1.57609 + 0.335008i
\(518\) 3.77739 + 8.48415i 0.165969 + 0.372772i
\(519\) −2.85490 2.07420i −0.125316 0.0910475i
\(520\) −4.06049 + 20.3040i −0.178064 + 0.890391i
\(521\) −26.9420 −1.18035 −0.590175 0.807276i \(-0.700941\pi\)
−0.590175 + 0.807276i \(0.700941\pi\)
\(522\) −5.93306 3.42546i −0.259683 0.149928i
\(523\) 0.00253726 + 0.0241404i 0.000110947 + 0.00105559i 0.994577 0.104001i \(-0.0331644\pi\)
−0.994466 + 0.105056i \(0.966498\pi\)
\(524\) −9.92418 + 2.10945i −0.433540 + 0.0921517i
\(525\) −4.54566 + 1.47698i −0.198389 + 0.0644605i
\(526\) −14.9696 + 8.64271i −0.652706 + 0.376840i
\(527\) −16.3099 + 26.0840i −0.710471 + 1.13623i
\(528\) 4.37145i 0.190243i
\(529\) −4.06810 + 4.51808i −0.176874 + 0.196438i
\(530\) 10.2414 + 11.3742i 0.444857 + 0.494064i
\(531\) 14.0104 1.47255i 0.607999 0.0639033i
\(532\) −14.1379 −0.612957
\(533\) 42.7157 9.61929i 1.85022 0.416658i
\(534\) −2.15446 + 1.56531i −0.0932326 + 0.0677374i
\(535\) −3.69065 8.28934i −0.159561 0.358379i
\(536\) 5.90289 2.62814i 0.254966 0.113518i
\(537\) −6.13352 + 6.81197i −0.264681 + 0.293958i
\(538\) 18.3275 + 25.2257i 0.790156 + 1.08756i
\(539\) 52.7101 + 47.4604i 2.27038 + 2.04426i
\(540\) −1.05805 4.97773i −0.0455312 0.214208i
\(541\) 23.8984 32.8934i 1.02747 1.41420i 0.120646 0.992696i \(-0.461503\pi\)
0.906828 0.421501i \(-0.138497\pi\)
\(542\) 10.6114 2.25551i 0.455797 0.0968826i
\(543\) −0.447212 0.496679i −0.0191917 0.0213145i
\(544\) −9.20687 20.6790i −0.394741 0.886603i
\(545\) 4.51971 13.9102i 0.193603 0.595849i
\(546\) 10.9062 6.47330i 0.466742 0.277032i
\(547\) −16.0402 + 11.6539i −0.685830 + 0.498285i −0.875287 0.483605i \(-0.839327\pi\)
0.189457 + 0.981889i \(0.439327\pi\)
\(548\) 0.568468 2.67443i 0.0242838 0.114246i
\(549\) −16.7102 + 7.43987i −0.713175 + 0.317526i
\(550\) 0.657110 6.25199i 0.0280193 0.266586i
\(551\) −5.01141 6.89761i −0.213493 0.293848i
\(552\) −6.84938 + 3.95449i −0.291529 + 0.168314i
\(553\) −39.9532 + 23.0670i −1.69898 + 0.980909i
\(554\) −4.43096 6.09869i −0.188253 0.259109i
\(555\) −1.89245 + 0.402253i −0.0803301 + 0.0170747i
\(556\) 13.0971 + 2.78387i 0.555439 + 0.118062i
\(557\) 4.33803 + 2.50456i 0.183808 + 0.106122i 0.589081 0.808074i \(-0.299490\pi\)
−0.405273 + 0.914196i \(0.632823\pi\)
\(558\) 11.5569 + 11.1671i 0.489244 + 0.472741i
\(559\) 16.3402 + 5.09223i 0.691116 + 0.215378i
\(560\) −5.42306 16.6905i −0.229166 0.705301i
\(561\) 9.70973 8.74268i 0.409945 0.369116i
\(562\) −1.99835 19.0130i −0.0842953 0.802016i
\(563\) −9.09445 15.7520i −0.383285 0.663870i 0.608244 0.793750i \(-0.291874\pi\)
−0.991530 + 0.129880i \(0.958541\pi\)
\(564\) 4.70699i 0.198200i
\(565\) −4.51401 + 10.1386i −0.189906 + 0.426536i
\(566\) 20.1637 + 2.11929i 0.847543 + 0.0890803i
\(567\) 16.7908 23.1105i 0.705146 0.970551i
\(568\) −19.3951 + 21.5404i −0.813799 + 0.903815i
\(569\) 2.41902 + 23.0154i 0.101410 + 0.964856i 0.920382 + 0.391022i \(0.127878\pi\)
−0.818971 + 0.573835i \(0.805455\pi\)
\(570\) −0.967485 + 4.55166i −0.0405235 + 0.190648i
\(571\) −14.0138 + 43.1300i −0.586458 + 1.80493i 0.00687434 + 0.999976i \(0.497812\pi\)
−0.593333 + 0.804957i \(0.702188\pi\)
\(572\) −1.23016 10.4862i −0.0514355 0.438448i
\(573\) 0.269433 0.829229i 0.0112557 0.0346415i
\(574\) −50.7082 + 45.6579i −2.11652 + 1.90572i
\(575\) 5.65090 2.51594i 0.235659 0.104922i
\(576\) −20.9985 + 4.46337i −0.874938 + 0.185974i
\(577\) −18.3807 + 5.97224i −0.765197 + 0.248627i −0.665507 0.746391i \(-0.731785\pi\)
−0.0996891 + 0.995019i \(0.531785\pi\)
\(578\) 6.08969 13.6777i 0.253298 0.568916i
\(579\) −3.73992 3.36744i −0.155426 0.139946i
\(580\) −2.02225 + 2.78339i −0.0839695 + 0.115574i
\(581\) −7.29186 + 69.3774i −0.302517 + 2.87826i
\(582\) −0.529267 5.03564i −0.0219388 0.208734i
\(583\) −24.1958 13.9694i −1.00209 0.578555i
\(584\) 3.46674 0.143455
\(585\) −5.63473 16.6558i −0.232967 0.688631i
\(586\) −7.53535 + 23.1914i −0.311283 + 0.958029i
\(587\) −1.26893 + 5.96982i −0.0523741 + 0.246401i −0.996545 0.0830554i \(-0.973532\pi\)
0.944171 + 0.329456i \(0.106865\pi\)
\(588\) 4.55630 7.89174i 0.187899 0.325450i
\(589\) 7.48653 + 18.5458i 0.308477 + 0.764166i
\(590\) 11.1774i 0.460167i
\(591\) 2.13641 + 1.92363i 0.0878803 + 0.0791278i
\(592\) 0.635265 + 2.98869i 0.0261092 + 0.122834i
\(593\) −11.3067 15.5623i −0.464309 0.639066i 0.511087 0.859529i \(-0.329243\pi\)
−0.975395 + 0.220463i \(0.929243\pi\)
\(594\) −7.33830 12.7103i −0.301094 0.521510i
\(595\) −26.2265 + 45.4256i −1.07518 + 1.86227i
\(596\) 5.57103 0.585539i 0.228198 0.0239846i
\(597\) −1.91948 1.39458i −0.0785589 0.0570764i
\(598\) −13.1616 + 9.80714i −0.538219 + 0.401044i
\(599\) −1.70946 5.26117i −0.0698466 0.214966i 0.910040 0.414520i \(-0.136051\pi\)
−0.979887 + 0.199554i \(0.936051\pi\)
\(600\) −2.87551 + 0.302228i −0.117392 + 0.0123384i
\(601\) 15.2078 + 3.23252i 0.620340 + 0.131857i 0.507352 0.861739i \(-0.330625\pi\)
0.112988 + 0.993596i \(0.463958\pi\)
\(602\) −26.0894 + 5.54547i −1.06332 + 0.226016i
\(603\) −3.22515 + 4.43904i −0.131338 + 0.180772i
\(604\) 2.35549 + 11.0817i 0.0958434 + 0.450908i
\(605\) −1.27068 5.97808i −0.0516605 0.243044i
\(606\) −0.699968 + 0.963423i −0.0284342 + 0.0391364i
\(607\) 12.2348 2.60060i 0.496597 0.105555i 0.0471970 0.998886i \(-0.484971\pi\)
0.449400 + 0.893331i \(0.351638\pi\)
\(608\) −14.3945 3.05964i −0.583773 0.124085i
\(609\) 7.50268 0.788564i 0.304024 0.0319542i
\(610\) −4.48477 13.8027i −0.181583 0.558855i
\(611\) −4.07455 34.7324i −0.164839 1.40512i
\(612\) 9.03768 + 6.56626i 0.365327 + 0.265425i
\(613\) 13.9791 1.46926i 0.564610 0.0593429i 0.182076 0.983284i \(-0.441718\pi\)
0.382534 + 0.923941i \(0.375052\pi\)
\(614\) 18.3650 31.8091i 0.741151 1.28371i
\(615\) −7.10750 12.3105i −0.286602 0.496409i
\(616\) 34.6221 + 47.6532i 1.39496 + 1.92000i
\(617\) −2.19514 10.3273i −0.0883732 0.415763i −0.999989 0.00471946i \(-0.998498\pi\)
0.911616 0.411044i \(-0.134836\pi\)
\(618\) −9.43002 8.49083i −0.379331 0.341551i
\(619\) 25.3478i 1.01881i −0.860525 0.509407i \(-0.829865\pi\)
0.860525 0.509407i \(-0.170135\pi\)
\(620\) 6.18395 5.18580i 0.248353 0.208267i
\(621\) 7.22071 12.5066i 0.289757 0.501874i
\(622\) 2.86120 13.4609i 0.114724 0.539732i
\(623\) −6.03061 + 18.5603i −0.241611 + 0.743603i
\(624\) 3.95254 1.33716i 0.158228 0.0535294i
\(625\) −15.2198 −0.608791
\(626\) 32.4055 + 18.7093i 1.29518 + 0.747774i
\(627\) −0.887893 8.44774i −0.0354590 0.337370i
\(628\) −0.647564 + 6.16116i −0.0258406 + 0.245857i
\(629\) 5.36788 7.38825i 0.214031 0.294589i
\(630\) 20.3631 + 18.3350i 0.811285 + 0.730485i
\(631\) 14.5444 32.6672i 0.579002 1.30046i −0.352189 0.935929i \(-0.614563\pi\)
0.931191 0.364531i \(-0.118771\pi\)
\(632\) −26.5422 + 8.62407i −1.05579 + 0.343047i
\(633\) −0.186375 + 0.0396152i −0.00740774 + 0.00157456i
\(634\) 16.4340 7.31687i 0.652676 0.290590i
\(635\) −25.4166 + 22.8852i −1.00863 + 0.908170i
\(636\) −1.10921 + 3.41379i −0.0439830 + 0.135366i
\(637\) 26.7891 62.1764i 1.06142 2.46352i
\(638\) −3.06618 + 9.43672i −0.121391 + 0.373604i
\(639\) 5.11748 24.0758i 0.202444 0.952426i
\(640\) −0.178993 1.70301i −0.00707534 0.0673173i
\(641\) 13.7951 15.3210i 0.544875 0.605145i −0.406322 0.913730i \(-0.633189\pi\)
0.951197 + 0.308585i \(0.0998556\pi\)
\(642\) −1.97619 + 2.71999i −0.0779940 + 0.107349i
\(643\) 20.0563 + 2.10801i 0.790945 + 0.0831317i 0.491381 0.870945i \(-0.336492\pi\)
0.299564 + 0.954076i \(0.403159\pi\)
\(644\) −6.58503 + 14.7902i −0.259486 + 0.582816i
\(645\) 5.55650i 0.218787i
\(646\) −10.9824 19.0222i −0.432099 0.748417i
\(647\) −0.903442 8.59568i −0.0355180 0.337931i −0.997822 0.0659567i \(-0.978990\pi\)
0.962305 0.271974i \(-0.0876766\pi\)
\(648\) 12.8421 11.5630i 0.504484 0.454239i
\(649\) −6.30500 19.4048i −0.247493 0.761705i
\(650\) −5.85387 + 1.31825i −0.229608 + 0.0517062i
\(651\) −17.5236 2.46812i −0.686803 0.0967334i
\(652\) −1.72252 0.994495i −0.0674589 0.0389474i
\(653\) −7.87984 1.67491i −0.308362 0.0655444i 0.0511316 0.998692i \(-0.483717\pi\)
−0.359494 + 0.933148i \(0.617051\pi\)
\(654\) −5.30094 + 1.12675i −0.207283 + 0.0440594i
\(655\) 14.3842 + 19.7982i 0.562037 + 0.773578i
\(656\) −19.4416 + 11.2246i −0.759069 + 0.438249i
\(657\) −2.54946 + 1.47193i −0.0994640 + 0.0574255i
\(658\) 32.0330 + 44.0896i 1.24878 + 1.71879i
\(659\) −0.150273 + 1.42976i −0.00585382 + 0.0556954i −0.997059 0.0766398i \(-0.975581\pi\)
0.991205 + 0.132335i \(0.0422475\pi\)
\(660\) −3.13136 + 1.39417i −0.121888 + 0.0542680i
\(661\) −3.81465 + 17.9465i −0.148373 + 0.698038i 0.839574 + 0.543245i \(0.182805\pi\)
−0.987947 + 0.154793i \(0.950529\pi\)
\(662\) 6.21639 4.51647i 0.241607 0.175538i
\(663\) −10.8750 6.10500i −0.422348 0.237099i
\(664\) −13.0405 + 40.1346i −0.506070 + 1.55752i
\(665\) 13.8700 + 31.1525i 0.537855 + 1.20804i
\(666\) −3.19224 3.54534i −0.123697 0.137379i
\(667\) −9.55001 + 2.02992i −0.369778 + 0.0785987i
\(668\) −0.121031 + 0.166585i −0.00468282 + 0.00644535i
\(669\) −0.678536 3.19226i −0.0262337 0.123420i
\(670\) −3.23527 2.91305i −0.124990 0.112541i
\(671\) 15.5718 + 21.4327i 0.601141 + 0.827400i
\(672\) 8.71292 9.67668i 0.336108 0.373286i
\(673\) −5.31124 + 2.36471i −0.204733 + 0.0911530i −0.506542 0.862216i \(-0.669076\pi\)
0.301809 + 0.953369i \(0.402410\pi\)
\(674\) −7.14265 16.0426i −0.275124 0.617940i
\(675\) 4.27117 3.10318i 0.164397 0.119442i
\(676\) −9.10500 + 4.31984i −0.350192 + 0.166148i
\(677\) 12.7059 0.488326 0.244163 0.969734i \(-0.421487\pi\)
0.244163 + 0.969734i \(0.421487\pi\)
\(678\) 4.08963 0.429837i 0.157061 0.0165078i
\(679\) −24.8284 27.5748i −0.952827 1.05822i
\(680\) −21.2320 + 23.5805i −0.814209 + 0.904271i
\(681\) 9.32372i 0.357286i
\(682\) 12.3401 19.7351i 0.472527 0.755698i
\(683\) 20.4530 11.8086i 0.782613 0.451842i −0.0547426 0.998501i \(-0.517434\pi\)
0.837356 + 0.546659i \(0.184100\pi\)
\(684\) 6.90714 2.24427i 0.264101 0.0858117i
\(685\) −6.45073 + 1.37114i −0.246470 + 0.0523887i
\(686\) 6.91707 + 65.8116i 0.264095 + 2.51270i
\(687\) 6.50073 + 3.75320i 0.248018 + 0.143193i
\(688\) −8.77520 −0.334551
\(689\) −5.22962 + 26.1502i −0.199233 + 0.996243i
\(690\) 4.31103 + 3.13215i 0.164118 + 0.119239i
\(691\) −11.9229 26.7793i −0.453568 1.01873i −0.985146 0.171721i \(-0.945067\pi\)
0.531577 0.847010i \(-0.321599\pi\)
\(692\) −4.27435 0.908541i −0.162486 0.0345375i
\(693\) −45.6942 20.3444i −1.73578 0.772819i
\(694\) −19.7440 + 6.41523i −0.749473 + 0.243519i
\(695\) −6.71468 31.5901i −0.254702 1.19828i
\(696\) 4.53864 + 0.477030i 0.172037 + 0.0180818i
\(697\) 63.8141 + 20.7345i 2.41713 + 0.785374i
\(698\) −7.17822 + 1.52578i −0.271700 + 0.0577515i
\(699\) −1.63259 + 0.726875i −0.0617501 + 0.0274929i
\(700\) −4.39842 + 3.96036i −0.166245 + 0.149687i
\(701\) 5.08192 + 15.6406i 0.191942 + 0.590735i 0.999999 + 0.00163126i \(0.000519246\pi\)
−0.808057 + 0.589104i \(0.799481\pi\)
\(702\) −9.24762 + 10.5230i −0.349029 + 0.397165i
\(703\) −1.83467 5.64655i −0.0691961 0.212964i
\(704\) 12.6463 + 28.4041i 0.476626 + 1.07052i
\(705\) −10.3717 + 4.61779i −0.390622 + 0.173916i
\(706\) −14.8143 6.59576i −0.557544 0.248235i
\(707\) 8.72684i 0.328207i
\(708\) −2.27015 + 1.31067i −0.0853176 + 0.0492581i
\(709\) −18.1557 + 40.7784i −0.681853 + 1.53147i 0.157289 + 0.987553i \(0.449725\pi\)
−0.839141 + 0.543913i \(0.816942\pi\)
\(710\) 18.5733 + 6.03483i 0.697044 + 0.226483i
\(711\) 15.8576 17.6117i 0.594707 0.660489i
\(712\) −5.90279 + 10.2239i −0.221217 + 0.383158i
\(713\) 22.8884 + 0.806137i 0.857178 + 0.0301901i
\(714\) 19.4353 0.727347
\(715\) −21.8991 + 12.9980i −0.818980 + 0.486099i
\(716\) −3.50763 + 10.7954i −0.131086 + 0.403442i
\(717\) −13.3329 + 1.40134i −0.497925 + 0.0523341i
\(718\) 10.7026 18.5374i 0.399417 0.691811i
\(719\) −6.92714 11.9982i −0.258339 0.447456i 0.707458 0.706755i \(-0.249842\pi\)
−0.965797 + 0.259299i \(0.916508\pi\)
\(720\) 5.29892 + 7.29333i 0.197479 + 0.271806i
\(721\) −92.4807 9.72012i −3.44416 0.361996i
\(722\) 6.71055 + 0.705307i 0.249741 + 0.0262488i
\(723\) 0.507487 0.164892i 0.0188736 0.00613241i
\(724\) −0.756075 0.336626i −0.0280993 0.0125106i
\(725\) −3.49126 0.742091i −0.129662 0.0275606i
\(726\) −1.68287 + 1.51527i −0.0624573 + 0.0562368i
\(727\) 2.41653 + 1.75571i 0.0896241 + 0.0651157i 0.631695 0.775217i \(-0.282360\pi\)
−0.542071 + 0.840333i \(0.682360\pi\)
\(728\) 32.4963 45.8807i 1.20439 1.70045i
\(729\) −2.49711 + 7.68532i −0.0924856 + 0.284641i
\(730\) −0.950029 2.13380i −0.0351622 0.0789755i
\(731\) 17.5500 + 19.4912i 0.649109 + 0.720908i
\(732\) 2.27747 2.52938i 0.0841776 0.0934887i
\(733\) −14.4171 19.8434i −0.532506 0.732932i 0.455003 0.890490i \(-0.349638\pi\)
−0.987510 + 0.157557i \(0.949638\pi\)
\(734\) 27.6287 + 24.8770i 1.01979 + 0.918226i
\(735\) −21.8592 2.29749i −0.806288 0.0847442i
\(736\) −9.90532 + 13.6335i −0.365115 + 0.502537i
\(737\) 7.25987 + 3.23230i 0.267421 + 0.119063i
\(738\) 17.5259 30.3558i 0.645138 1.11741i
\(739\) 32.1738 + 18.5755i 1.18353 + 0.683312i 0.956829 0.290652i \(-0.0938721\pi\)
0.226703 + 0.973964i \(0.427205\pi\)
\(740\) −1.93825 + 1.40822i −0.0712516 + 0.0517673i
\(741\) −7.36661 + 3.38685i −0.270619 + 0.124419i
\(742\) −12.8425 39.5250i −0.471462 1.45101i
\(743\) 12.2294 + 7.06065i 0.448654 + 0.259030i 0.707261 0.706952i \(-0.249930\pi\)
−0.258608 + 0.965982i \(0.583264\pi\)
\(744\) −10.0586 3.66442i −0.368765 0.134344i
\(745\) −6.75567 11.7012i −0.247509 0.428698i
\(746\) 8.59139 2.79151i 0.314553 0.102205i
\(747\) −7.45055 35.0521i −0.272601 1.28249i
\(748\) 6.58081 14.7807i 0.240618 0.540437i
\(749\) 24.6381i 0.900258i
\(750\) 4.21265 + 7.29652i 0.153824 + 0.266431i
\(751\) −3.73547 35.5406i −0.136309 1.29690i −0.822203 0.569194i \(-0.807255\pi\)
0.685894 0.727702i \(-0.259411\pi\)
\(752\) 7.29272 + 16.3797i 0.265938 + 0.597307i
\(753\) 7.25325 + 5.26980i 0.264323 + 0.192042i
\(754\) 9.47032 0.114210i 0.344889 0.00415927i
\(755\)