Properties

Label 819.2.fy.a.50.8
Level $819$
Weight $2$
Character 819.50
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 50.8
Character \(\chi\) \(=\) 819.50
Dual form 819.2.fy.a.344.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.629766 - 2.35032i) q^{2} +(-0.786534 + 1.54317i) q^{3} +(-3.39535 + 1.96031i) q^{4} +(-0.0503052 - 0.187742i) q^{5} +(4.12227 + 0.876773i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(3.30451 + 3.30451i) q^{8} +(-1.76273 - 2.42751i) q^{9} +O(q^{10})\) \(q+(-0.629766 - 2.35032i) q^{2} +(-0.786534 + 1.54317i) q^{3} +(-3.39535 + 1.96031i) q^{4} +(-0.0503052 - 0.187742i) q^{5} +(4.12227 + 0.876773i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(3.30451 + 3.30451i) q^{8} +(-1.76273 - 2.42751i) q^{9} +(-0.409572 + 0.236467i) q^{10} +(-5.65964 + 1.51650i) q^{11} +(-0.354520 - 6.78144i) q^{12} +(2.83585 - 2.22664i) q^{13} +(2.10724 + 1.21662i) q^{14} +(0.329283 + 0.0700359i) q^{15} +(1.76498 - 3.05704i) q^{16} +(-0.435825 + 0.754872i) q^{17} +(-4.59531 + 5.67174i) q^{18} +(1.42894 - 0.382884i) q^{19} +(0.538834 + 0.538834i) q^{20} +(-0.535020 - 1.64735i) q^{21} +(7.12850 + 12.3469i) q^{22} +1.19545 q^{23} +(-7.69853 + 2.50030i) q^{24} +(4.29741 - 2.48111i) q^{25} +(-7.01925 - 5.26290i) q^{26} +(5.13249 - 0.810864i) q^{27} +(1.01473 - 3.78702i) q^{28} +(2.35356 + 1.35883i) q^{29} +(-0.0427648 - 0.818027i) q^{30} +(9.15101 - 2.45201i) q^{31} +(0.731546 + 0.196017i) q^{32} +(2.11130 - 9.92655i) q^{33} +(2.04866 + 0.548936i) q^{34} +(0.168324 + 0.0971822i) q^{35} +(10.7437 + 4.78675i) q^{36} +(6.20602 + 1.66290i) q^{37} +(-1.79980 - 3.11735i) q^{38} +(1.20558 + 6.12753i) q^{39} +(0.454160 - 0.786629i) q^{40} +(-0.516537 + 0.516537i) q^{41} +(-3.53486 + 2.29491i) q^{42} +1.40008i q^{43} +(16.2437 - 16.2437i) q^{44} +(-0.367070 + 0.453053i) q^{45} +(-0.752853 - 2.80969i) q^{46} +(-1.45620 + 5.43462i) q^{47} +(3.32930 + 5.12813i) q^{48} -1.00000i q^{49} +(-8.53777 - 8.53777i) q^{50} +(-0.822101 - 1.26628i) q^{51} +(-5.26381 + 13.1194i) q^{52} -12.4244i q^{53} +(-5.13806 - 11.5524i) q^{54} +(0.569419 + 0.986262i) q^{55} -4.67329 q^{56} +(-0.533059 + 2.50625i) q^{57} +(1.71149 - 6.38735i) q^{58} +(1.67168 - 6.23878i) q^{59} +(-1.25532 + 0.407699i) q^{60} -7.50731 q^{61} +(-11.5260 - 19.9636i) q^{62} +(2.96294 + 0.470071i) q^{63} -8.90275i q^{64} +(-0.560691 - 0.420396i) q^{65} +(-24.6602 + 1.28918i) q^{66} +(10.1630 + 10.1630i) q^{67} -3.41740i q^{68} +(-0.940261 + 1.84478i) q^{69} +(0.122404 - 0.456818i) q^{70} +(2.15471 + 8.04149i) q^{71} +(2.19678 - 13.8467i) q^{72} +(4.60058 - 4.60058i) q^{73} -15.6334i q^{74} +(0.448707 + 8.58310i) q^{75} +(-4.10119 + 4.10119i) q^{76} +(2.92965 - 5.07430i) q^{77} +(13.6424 - 6.69242i) q^{78} +(-4.27406 - 7.40289i) q^{79} +(-0.662721 - 0.177576i) q^{80} +(-2.78559 + 8.55807i) q^{81} +(1.53932 + 0.888729i) q^{82} +(6.01730 + 1.61233i) q^{83} +(5.04588 + 4.54452i) q^{84} +(0.163645 + 0.0438486i) q^{85} +(3.29065 - 0.881726i) q^{86} +(-3.94805 + 2.56317i) q^{87} +(-23.7137 - 13.6911i) q^{88} +(0.242807 - 0.906169i) q^{89} +(1.29599 + 0.577413i) q^{90} +(-0.430778 + 3.57972i) q^{91} +(-4.05896 + 2.34344i) q^{92} +(-3.41373 + 16.0501i) q^{93} +13.6902 q^{94} +(-0.143767 - 0.249011i) q^{95} +(-0.877873 + 0.974723i) q^{96} +(5.28415 + 5.28415i) q^{97} +(-2.35032 + 0.629766i) q^{98} +(13.6577 + 11.0657i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 12 q^{6} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 12 q^{6} + 36 q^{8} - 12 q^{11} + 4 q^{15} + 168 q^{16} - 4 q^{18} - 4 q^{21} + 8 q^{24} - 96 q^{26} + 24 q^{27} - 120 q^{30} - 72 q^{32} + 36 q^{33} + 72 q^{38} + 8 q^{39} - 48 q^{41} - 76 q^{45} + 24 q^{48} - 24 q^{50} - 36 q^{52} + 72 q^{54} + 32 q^{57} + 36 q^{58} - 72 q^{59} + 4 q^{60} + 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 48 q^{71} - 176 q^{72} - 60 q^{75} - 124 q^{78} - 12 q^{79} - 96 q^{80} - 20 q^{81} - 156 q^{83} - 12 q^{84} - 108 q^{85} - 24 q^{87} + 60 q^{89} - 72 q^{92} + 20 q^{93} + 96 q^{94} + 88 q^{96} - 96 q^{97} + 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{12}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.629766 2.35032i −0.445312 1.66193i −0.715111 0.699011i \(-0.753624\pi\)
0.269799 0.962917i \(-0.413043\pi\)
\(3\) −0.786534 + 1.54317i −0.454106 + 0.890948i
\(4\) −3.39535 + 1.96031i −1.69767 + 0.980153i
\(5\) −0.0503052 0.187742i −0.0224972 0.0839606i 0.953765 0.300555i \(-0.0971718\pi\)
−0.976262 + 0.216594i \(0.930505\pi\)
\(6\) 4.12227 + 0.876773i 1.68291 + 0.357941i
\(7\) −0.707107 + 0.707107i −0.267261 + 0.267261i
\(8\) 3.30451 + 3.30451i 1.16832 + 1.16832i
\(9\) −1.76273 2.42751i −0.587576 0.809169i
\(10\) −0.409572 + 0.236467i −0.129518 + 0.0747773i
\(11\) −5.65964 + 1.51650i −1.70645 + 0.457241i −0.974549 0.224174i \(-0.928032\pi\)
−0.731897 + 0.681415i \(0.761365\pi\)
\(12\) −0.354520 6.78144i −0.102341 1.95763i
\(13\) 2.83585 2.22664i 0.786524 0.617559i
\(14\) 2.10724 + 1.21662i 0.563183 + 0.325154i
\(15\) 0.329283 + 0.0700359i 0.0850206 + 0.0180832i
\(16\) 1.76498 3.05704i 0.441246 0.764260i
\(17\) −0.435825 + 0.754872i −0.105703 + 0.183083i −0.914025 0.405657i \(-0.867043\pi\)
0.808322 + 0.588740i \(0.200376\pi\)
\(18\) −4.59531 + 5.67174i −1.08313 + 1.33684i
\(19\) 1.42894 0.382884i 0.327822 0.0878397i −0.0911542 0.995837i \(-0.529056\pi\)
0.418977 + 0.907997i \(0.362389\pi\)
\(20\) 0.538834 + 0.538834i 0.120487 + 0.120487i
\(21\) −0.535020 1.64735i −0.116751 0.359481i
\(22\) 7.12850 + 12.3469i 1.51980 + 2.63237i
\(23\) 1.19545 0.249268 0.124634 0.992203i \(-0.460224\pi\)
0.124634 + 0.992203i \(0.460224\pi\)
\(24\) −7.69853 + 2.50030i −1.57146 + 0.510372i
\(25\) 4.29741 2.48111i 0.859482 0.496222i
\(26\) −7.01925 5.26290i −1.37659 1.03214i
\(27\) 5.13249 0.810864i 0.987749 0.156051i
\(28\) 1.01473 3.78702i 0.191766 0.715679i
\(29\) 2.35356 + 1.35883i 0.437044 + 0.252328i 0.702343 0.711839i \(-0.252137\pi\)
−0.265299 + 0.964166i \(0.585471\pi\)
\(30\) −0.0427648 0.818027i −0.00780774 0.149351i
\(31\) 9.15101 2.45201i 1.64357 0.440393i 0.685768 0.727821i \(-0.259467\pi\)
0.957802 + 0.287427i \(0.0928000\pi\)
\(32\) 0.731546 + 0.196017i 0.129320 + 0.0346513i
\(33\) 2.11130 9.92655i 0.367530 1.72799i
\(34\) 2.04866 + 0.548936i 0.351342 + 0.0941418i
\(35\) 0.168324 + 0.0971822i 0.0284520 + 0.0164268i
\(36\) 10.7437 + 4.78675i 1.79062 + 0.797792i
\(37\) 6.20602 + 1.66290i 1.02026 + 0.273379i 0.729912 0.683541i \(-0.239561\pi\)
0.290352 + 0.956920i \(0.406228\pi\)
\(38\) −1.79980 3.11735i −0.291966 0.505701i
\(39\) 1.20558 + 6.12753i 0.193048 + 0.981189i
\(40\) 0.454160 0.786629i 0.0718090 0.124377i
\(41\) −0.516537 + 0.516537i −0.0806695 + 0.0806695i −0.746290 0.665621i \(-0.768167\pi\)
0.665621 + 0.746290i \(0.268167\pi\)
\(42\) −3.53486 + 2.29491i −0.545440 + 0.354113i
\(43\) 1.40008i 0.213511i 0.994285 + 0.106755i \(0.0340462\pi\)
−0.994285 + 0.106755i \(0.965954\pi\)
\(44\) 16.2437 16.2437i 2.44882 2.44882i
\(45\) −0.367070 + 0.453053i −0.0547195 + 0.0675372i
\(46\) −0.752853 2.80969i −0.111002 0.414266i
\(47\) −1.45620 + 5.43462i −0.212409 + 0.792721i 0.774654 + 0.632386i \(0.217924\pi\)
−0.987063 + 0.160335i \(0.948742\pi\)
\(48\) 3.32930 + 5.12813i 0.480544 + 0.740182i
\(49\) 1.00000i 0.142857i
\(50\) −8.53777 8.53777i −1.20742 1.20742i
\(51\) −0.822101 1.26628i −0.115117 0.177315i
\(52\) −5.26381 + 13.1194i −0.729960 + 1.81933i
\(53\) 12.4244i 1.70663i −0.521398 0.853313i \(-0.674589\pi\)
0.521398 0.853313i \(-0.325411\pi\)
\(54\) −5.13806 11.5524i −0.699202 1.57208i
\(55\) 0.569419 + 0.986262i 0.0767804 + 0.132988i
\(56\) −4.67329 −0.624495
\(57\) −0.533059 + 2.50625i −0.0706054 + 0.331961i
\(58\) 1.71149 6.38735i 0.224729 0.838701i
\(59\) 1.67168 6.23878i 0.217634 0.812220i −0.767589 0.640942i \(-0.778544\pi\)
0.985223 0.171278i \(-0.0547896\pi\)
\(60\) −1.25532 + 0.407699i −0.162061 + 0.0526338i
\(61\) −7.50731 −0.961212 −0.480606 0.876937i \(-0.659583\pi\)
−0.480606 + 0.876937i \(0.659583\pi\)
\(62\) −11.5260 19.9636i −1.46380 2.53538i
\(63\) 2.96294 + 0.470071i 0.373296 + 0.0592233i
\(64\) 8.90275i 1.11284i
\(65\) −0.560691 0.420396i −0.0695452 0.0521437i
\(66\) −24.6602 + 1.28918i −3.03546 + 0.158688i
\(67\) 10.1630 + 10.1630i 1.24160 + 1.24160i 0.959336 + 0.282268i \(0.0910866\pi\)
0.282268 + 0.959336i \(0.408913\pi\)
\(68\) 3.41740i 0.414421i
\(69\) −0.940261 + 1.84478i −0.113194 + 0.222085i
\(70\) 0.122404 0.456818i 0.0146301 0.0546002i
\(71\) 2.15471 + 8.04149i 0.255717 + 0.954349i 0.967690 + 0.252142i \(0.0811351\pi\)
−0.711973 + 0.702207i \(0.752198\pi\)
\(72\) 2.19678 13.8467i 0.258893 1.63185i
\(73\) 4.60058 4.60058i 0.538457 0.538457i −0.384618 0.923076i \(-0.625667\pi\)
0.923076 + 0.384618i \(0.125667\pi\)
\(74\) 15.6334i 1.81734i
\(75\) 0.448707 + 8.58310i 0.0518122 + 0.991091i
\(76\) −4.10119 + 4.10119i −0.470439 + 0.470439i
\(77\) 2.92965 5.07430i 0.333864 0.578270i
\(78\) 13.6424 6.69242i 1.54470 0.757767i
\(79\) −4.27406 7.40289i −0.480869 0.832890i 0.518890 0.854841i \(-0.326346\pi\)
−0.999759 + 0.0219510i \(0.993012\pi\)
\(80\) −0.662721 0.177576i −0.0740945 0.0198536i
\(81\) −2.78559 + 8.55807i −0.309510 + 0.950896i
\(82\) 1.53932 + 0.888729i 0.169990 + 0.0981437i
\(83\) 6.01730 + 1.61233i 0.660484 + 0.176976i 0.573465 0.819230i \(-0.305599\pi\)
0.0870198 + 0.996207i \(0.472266\pi\)
\(84\) 5.04588 + 4.54452i 0.550551 + 0.495847i
\(85\) 0.163645 + 0.0438486i 0.0177498 + 0.00475604i
\(86\) 3.29065 0.881726i 0.354840 0.0950790i
\(87\) −3.94805 + 2.56317i −0.423275 + 0.274800i
\(88\) −23.7137 13.6911i −2.52788 1.45947i
\(89\) 0.242807 0.906169i 0.0257375 0.0960537i −0.951862 0.306526i \(-0.900833\pi\)
0.977600 + 0.210472i \(0.0675001\pi\)
\(90\) 1.29599 + 0.577413i 0.136609 + 0.0608647i
\(91\) −0.430778 + 3.57972i −0.0451578 + 0.375257i
\(92\) −4.05896 + 2.34344i −0.423176 + 0.244321i
\(93\) −3.41373 + 16.0501i −0.353987 + 1.66432i
\(94\) 13.6902 1.41203
\(95\) −0.143767 0.249011i −0.0147501 0.0255480i
\(96\) −0.877873 + 0.974723i −0.0895976 + 0.0994823i
\(97\) 5.28415 + 5.28415i 0.536524 + 0.536524i 0.922506 0.385982i \(-0.126137\pi\)
−0.385982 + 0.922506i \(0.626137\pi\)
\(98\) −2.35032 + 0.629766i −0.237418 + 0.0636160i
\(99\) 13.6577 + 11.0657i 1.37265 + 1.11214i
\(100\) −9.72747 + 16.8485i −0.972747 + 1.68485i
\(101\) 0.974500 1.68788i 0.0969664 0.167951i −0.813461 0.581619i \(-0.802419\pi\)
0.910428 + 0.413668i \(0.135753\pi\)
\(102\) −2.45844 + 2.72966i −0.243422 + 0.270277i
\(103\) −16.4288 9.48518i −1.61878 0.934603i −0.987236 0.159262i \(-0.949088\pi\)
−0.631543 0.775341i \(-0.717578\pi\)
\(104\) 16.7291 + 2.01315i 1.64042 + 0.197406i
\(105\) −0.282361 + 0.183316i −0.0275556 + 0.0178898i
\(106\) −29.2014 + 7.82449i −2.83629 + 0.759982i
\(107\) 6.21061 3.58570i 0.600402 0.346643i −0.168797 0.985651i \(-0.553988\pi\)
0.769200 + 0.639008i \(0.220655\pi\)
\(108\) −15.8371 + 12.8144i −1.52392 + 1.23307i
\(109\) 0.532594 + 0.532594i 0.0510133 + 0.0510133i 0.732153 0.681140i \(-0.238515\pi\)
−0.681140 + 0.732153i \(0.738515\pi\)
\(110\) 1.95943 1.95943i 0.186824 0.186824i
\(111\) −7.44738 + 8.26900i −0.706874 + 0.784859i
\(112\) 0.913623 + 3.40969i 0.0863293 + 0.322185i
\(113\) 2.90020 1.67443i 0.272828 0.157517i −0.357344 0.933973i \(-0.616318\pi\)
0.630172 + 0.776456i \(0.282984\pi\)
\(114\) 6.22620 0.325493i 0.583137 0.0304852i
\(115\) −0.0601372 0.224435i −0.00560783 0.0209287i
\(116\) −10.6549 −0.989279
\(117\) −10.4040 2.95909i −0.961853 0.273568i
\(118\) −15.7159 −1.44677
\(119\) −0.225600 0.841950i −0.0206807 0.0771814i
\(120\) 0.856687 + 1.31956i 0.0782044 + 0.120458i
\(121\) 20.2055 11.6657i 1.83686 1.06051i
\(122\) 4.72785 + 17.6446i 0.428039 + 1.59746i
\(123\) −0.390828 1.20338i −0.0352398 0.108505i
\(124\) −26.2642 + 26.2642i −2.35859 + 2.35859i
\(125\) −1.36917 1.36917i −0.122462 0.122462i
\(126\) −0.761145 7.25990i −0.0678082 0.646763i
\(127\) −14.9047 + 8.60523i −1.32258 + 0.763590i −0.984139 0.177398i \(-0.943232\pi\)
−0.338438 + 0.940989i \(0.609899\pi\)
\(128\) −19.4612 + 5.21462i −1.72014 + 0.460911i
\(129\) −2.16056 1.10121i −0.190227 0.0969565i
\(130\) −0.634960 + 1.58256i −0.0556897 + 0.138799i
\(131\) 14.6455 + 8.45561i 1.27959 + 0.738770i 0.976772 0.214279i \(-0.0687402\pi\)
0.302815 + 0.953049i \(0.402074\pi\)
\(132\) 12.2905 + 37.8429i 1.06975 + 3.29380i
\(133\) −0.739676 + 1.28116i −0.0641380 + 0.111090i
\(134\) 17.4859 30.2865i 1.51055 2.61636i
\(135\) −0.410424 0.922792i −0.0353237 0.0794213i
\(136\) −3.93468 + 1.05429i −0.337396 + 0.0904049i
\(137\) −4.22570 4.22570i −0.361026 0.361026i 0.503164 0.864191i \(-0.332169\pi\)
−0.864191 + 0.503164i \(0.832169\pi\)
\(138\) 4.92796 + 1.04814i 0.419496 + 0.0892234i
\(139\) 7.18718 + 12.4486i 0.609609 + 1.05587i 0.991305 + 0.131585i \(0.0420067\pi\)
−0.381696 + 0.924288i \(0.624660\pi\)
\(140\) −0.762027 −0.0644030
\(141\) −7.24117 6.52168i −0.609817 0.549224i
\(142\) 17.5431 10.1285i 1.47219 0.849966i
\(143\) −12.6732 + 16.9026i −1.05979 + 1.41346i
\(144\) −10.5322 + 1.10422i −0.877681 + 0.0920182i
\(145\) 0.136712 0.510216i 0.0113533 0.0423712i
\(146\) −13.7101 7.91555i −1.13466 0.655096i
\(147\) 1.54317 + 0.786534i 0.127278 + 0.0648723i
\(148\) −24.3314 + 6.51958i −2.00003 + 0.535906i
\(149\) 19.8415 + 5.31653i 1.62548 + 0.435547i 0.952606 0.304207i \(-0.0983916\pi\)
0.672877 + 0.739754i \(0.265058\pi\)
\(150\) 19.8905 6.45995i 1.62405 0.527453i
\(151\) 7.69541 + 2.06198i 0.626243 + 0.167801i 0.557964 0.829865i \(-0.311583\pi\)
0.0682790 + 0.997666i \(0.478249\pi\)
\(152\) 5.98721 + 3.45672i 0.485627 + 0.280377i
\(153\) 2.60070 0.272663i 0.210254 0.0220435i
\(154\) −13.7712 3.68999i −1.10972 0.297348i
\(155\) −0.920687 1.59468i −0.0739513 0.128087i
\(156\) −16.1052 18.4418i −1.28945 1.47652i
\(157\) −0.436453 + 0.755959i −0.0348327 + 0.0603321i −0.882916 0.469531i \(-0.844423\pi\)
0.848083 + 0.529863i \(0.177757\pi\)
\(158\) −14.7075 + 14.7075i −1.17007 + 1.17007i
\(159\) 19.1730 + 9.77224i 1.52052 + 0.774989i
\(160\) 0.147202i 0.0116374i
\(161\) −0.845310 + 0.845310i −0.0666197 + 0.0666197i
\(162\) 21.8685 + 1.15744i 1.71815 + 0.0909367i
\(163\) 2.32265 + 8.66825i 0.181924 + 0.678950i 0.995268 + 0.0971670i \(0.0309781\pi\)
−0.813344 + 0.581783i \(0.802355\pi\)
\(164\) 0.741253 2.76639i 0.0578821 0.216019i
\(165\) −1.96983 + 0.102979i −0.153351 + 0.00801689i
\(166\) 15.1580i 1.17649i
\(167\) −12.0920 12.0920i −0.935707 0.935707i 0.0623478 0.998054i \(-0.480141\pi\)
−0.998054 + 0.0623478i \(0.980141\pi\)
\(168\) 3.67570 7.21166i 0.283587 0.556392i
\(169\) 3.08413 12.6289i 0.237241 0.971451i
\(170\) 0.412233i 0.0316168i
\(171\) −3.44829 2.79385i −0.263698 0.213651i
\(172\) −2.74459 4.75377i −0.209273 0.362472i
\(173\) −18.0249 −1.37041 −0.685203 0.728352i \(-0.740287\pi\)
−0.685203 + 0.728352i \(0.740287\pi\)
\(174\) 8.51061 + 7.66498i 0.645188 + 0.581081i
\(175\) −1.28432 + 4.79314i −0.0970853 + 0.362327i
\(176\) −5.35318 + 19.9784i −0.403511 + 1.50593i
\(177\) 8.31265 + 7.48669i 0.624817 + 0.562734i
\(178\) −2.28270 −0.171096
\(179\) −2.89999 5.02293i −0.216755 0.375431i 0.737059 0.675829i \(-0.236214\pi\)
−0.953814 + 0.300397i \(0.902881\pi\)
\(180\) 0.358207 2.25784i 0.0266991 0.168290i
\(181\) 13.7362i 1.02100i −0.859878 0.510500i \(-0.829460\pi\)
0.859878 0.510500i \(-0.170540\pi\)
\(182\) 8.68479 1.24192i 0.643759 0.0920576i
\(183\) 5.90476 11.5850i 0.436492 0.856390i
\(184\) 3.95038 + 3.95038i 0.291226 + 0.291226i
\(185\) 1.24878i 0.0918122i
\(186\) 39.8728 2.08447i 2.92361 0.152841i
\(187\) 1.32186 4.93323i 0.0966636 0.360754i
\(188\) −5.70920 21.3070i −0.416386 1.55397i
\(189\) −3.05585 + 4.20259i −0.222281 + 0.305693i
\(190\) −0.494716 + 0.494716i −0.0358905 + 0.0358905i
\(191\) 19.8964i 1.43966i −0.694152 0.719828i \(-0.744221\pi\)
0.694152 0.719828i \(-0.255779\pi\)
\(192\) 13.7384 + 7.00232i 0.991485 + 0.505349i
\(193\) 2.29580 2.29580i 0.165255 0.165255i −0.619635 0.784890i \(-0.712719\pi\)
0.784890 + 0.619635i \(0.212719\pi\)
\(194\) 9.09166 15.7472i 0.652743 1.13058i
\(195\) 1.08974 0.534584i 0.0780382 0.0382824i
\(196\) 1.96031 + 3.39535i 0.140022 + 0.242525i
\(197\) 23.6450 + 6.33567i 1.68464 + 0.451398i 0.968998 0.247070i \(-0.0794678\pi\)
0.715641 + 0.698468i \(0.246135\pi\)
\(198\) 17.4067 39.0688i 1.23704 2.77650i
\(199\) 19.6300 + 11.3334i 1.39153 + 0.803401i 0.993485 0.113964i \(-0.0363549\pi\)
0.398047 + 0.917365i \(0.369688\pi\)
\(200\) 22.3997 + 6.00199i 1.58390 + 0.424405i
\(201\) −23.6767 + 7.68962i −1.67002 + 0.542384i
\(202\) −4.58077 1.22741i −0.322302 0.0863606i
\(203\) −2.62505 + 0.703380i −0.184242 + 0.0493676i
\(204\) 5.27362 + 2.68791i 0.369227 + 0.188191i
\(205\) 0.122960 + 0.0709909i 0.00858789 + 0.00495822i
\(206\) −11.9469 + 44.5864i −0.832380 + 3.10648i
\(207\) −2.10725 2.90196i −0.146464 0.201700i
\(208\) −1.80170 12.5993i −0.124925 0.873605i
\(209\) −7.50667 + 4.33398i −0.519247 + 0.299788i
\(210\) 0.608672 + 0.548193i 0.0420023 + 0.0378289i
\(211\) −10.0648 −0.692889 −0.346444 0.938070i \(-0.612611\pi\)
−0.346444 + 0.938070i \(0.612611\pi\)
\(212\) 24.3557 + 42.1853i 1.67275 + 2.89730i
\(213\) −14.1041 2.99983i −0.966398 0.205545i
\(214\) −12.3388 12.3388i −0.843461 0.843461i
\(215\) 0.262854 0.0704315i 0.0179265 0.00480339i
\(216\) 19.6399 + 14.2809i 1.33633 + 0.971692i
\(217\) −4.73691 + 8.20457i −0.321562 + 0.556963i
\(218\) 0.916357 1.58718i 0.0620635 0.107497i
\(219\) 3.48095 + 10.7180i 0.235221 + 0.724254i
\(220\) −3.86675 2.23247i −0.260696 0.150513i
\(221\) 0.444892 + 3.11113i 0.0299267 + 0.209277i
\(222\) 24.1249 + 12.2962i 1.61916 + 0.825266i
\(223\) 16.2324 4.34945i 1.08700 0.291261i 0.329539 0.944142i \(-0.393107\pi\)
0.757460 + 0.652881i \(0.226440\pi\)
\(224\) −0.655886 + 0.378676i −0.0438232 + 0.0253014i
\(225\) −13.5981 6.05847i −0.906539 0.403898i
\(226\) −5.76189 5.76189i −0.383275 0.383275i
\(227\) −0.317316 + 0.317316i −0.0210610 + 0.0210610i −0.717559 0.696498i \(-0.754741\pi\)
0.696498 + 0.717559i \(0.254741\pi\)
\(228\) −3.10310 9.55456i −0.205508 0.632766i
\(229\) 4.04600 + 15.0999i 0.267367 + 0.997828i 0.960786 + 0.277292i \(0.0894371\pi\)
−0.693418 + 0.720535i \(0.743896\pi\)
\(230\) −0.489622 + 0.282684i −0.0322847 + 0.0186396i
\(231\) 5.52622 + 8.51204i 0.363598 + 0.560051i
\(232\) 3.28710 + 12.2676i 0.215809 + 0.805409i
\(233\) 12.1866 0.798368 0.399184 0.916871i \(-0.369293\pi\)
0.399184 + 0.916871i \(0.369293\pi\)
\(234\) −0.402713 + 26.3163i −0.0263262 + 1.72035i
\(235\) 1.09356 0.0713359
\(236\) 6.55399 + 24.4598i 0.426629 + 1.59220i
\(237\) 14.7856 0.772960i 0.960427 0.0502092i
\(238\) −1.83678 + 1.06046i −0.119061 + 0.0687396i
\(239\) 0.187063 + 0.698128i 0.0121001 + 0.0451582i 0.971712 0.236169i \(-0.0758920\pi\)
−0.959612 + 0.281327i \(0.909225\pi\)
\(240\) 0.795282 0.883020i 0.0513352 0.0569987i
\(241\) 7.49759 7.49759i 0.482962 0.482962i −0.423114 0.906076i \(-0.639063\pi\)
0.906076 + 0.423114i \(0.139063\pi\)
\(242\) −40.1428 40.1428i −2.58047 2.58047i
\(243\) −11.0156 11.0298i −0.706649 0.707564i
\(244\) 25.4899 14.7166i 1.63183 0.942135i
\(245\) −0.187742 + 0.0503052i −0.0119944 + 0.00321388i
\(246\) −2.58219 + 1.67642i −0.164634 + 0.106885i
\(247\) 3.19973 4.26755i 0.203594 0.271538i
\(248\) 38.3423 + 22.1370i 2.43474 + 1.40570i
\(249\) −7.22091 + 8.01754i −0.457606 + 0.508091i
\(250\) −2.35573 + 4.08025i −0.148990 + 0.258058i
\(251\) −10.7660 + 18.6472i −0.679541 + 1.17700i 0.295578 + 0.955319i \(0.404488\pi\)
−0.975119 + 0.221681i \(0.928846\pi\)
\(252\) −10.9817 + 4.21222i −0.691783 + 0.265345i
\(253\) −6.76581 + 1.81289i −0.425363 + 0.113976i
\(254\) 29.6115 + 29.6115i 1.85799 + 1.85799i
\(255\) −0.196378 + 0.218043i −0.0122977 + 0.0136544i
\(256\) 15.6093 + 27.0361i 0.975581 + 1.68976i
\(257\) −6.83663 −0.426457 −0.213228 0.977002i \(-0.568398\pi\)
−0.213228 + 0.977002i \(0.568398\pi\)
\(258\) −1.22756 + 5.77152i −0.0764243 + 0.359319i
\(259\) −5.56417 + 3.21247i −0.345741 + 0.199613i
\(260\) 2.72785 + 0.328264i 0.169174 + 0.0203581i
\(261\) −0.850116 8.10852i −0.0526209 0.501905i
\(262\) 10.6501 39.7468i 0.657967 2.45556i
\(263\) −3.67911 2.12414i −0.226864 0.130980i 0.382261 0.924055i \(-0.375146\pi\)
−0.609124 + 0.793075i \(0.708479\pi\)
\(264\) 39.7792 25.8256i 2.44824 1.58946i
\(265\) −2.33258 + 0.625013i −0.143289 + 0.0383943i
\(266\) 3.47695 + 0.931646i 0.213186 + 0.0571229i
\(267\) 1.20739 + 1.08743i 0.0738913 + 0.0665494i
\(268\) −54.4293 14.5843i −3.32480 0.890877i
\(269\) −7.89064 4.55566i −0.481101 0.277764i 0.239774 0.970829i \(-0.422927\pi\)
−0.720875 + 0.693065i \(0.756260\pi\)
\(270\) −1.91038 + 1.54577i −0.116262 + 0.0940726i
\(271\) −7.81784 2.09478i −0.474900 0.127249i 0.0134269 0.999910i \(-0.495726\pi\)
−0.488327 + 0.872661i \(0.662393\pi\)
\(272\) 1.53845 + 2.66467i 0.0932822 + 0.161570i
\(273\) −5.18529 3.48034i −0.313828 0.210640i
\(274\) −7.27055 + 12.5930i −0.439230 + 0.760769i
\(275\) −20.5592 + 20.5592i −1.23977 + 1.23977i
\(276\) −0.423810 8.10686i −0.0255104 0.487975i
\(277\) 8.99681i 0.540566i 0.962781 + 0.270283i \(0.0871173\pi\)
−0.962781 + 0.270283i \(0.912883\pi\)
\(278\) 24.7319 24.7319i 1.48332 1.48332i
\(279\) −22.0830 17.8919i −1.32207 1.07116i
\(280\) 0.235091 + 0.877370i 0.0140494 + 0.0524329i
\(281\) 6.07047 22.6553i 0.362134 1.35150i −0.509132 0.860689i \(-0.670033\pi\)
0.871265 0.490812i \(-0.163300\pi\)
\(282\) −10.7678 + 21.1262i −0.641212 + 1.25805i
\(283\) 14.3851i 0.855108i −0.903990 0.427554i \(-0.859375\pi\)
0.903990 0.427554i \(-0.140625\pi\)
\(284\) −23.0798 23.0798i −1.36953 1.36953i
\(285\) 0.497343 0.0260001i 0.0294601 0.00154011i
\(286\) 47.7076 + 19.1415i 2.82101 + 1.13186i
\(287\) 0.730493i 0.0431197i
\(288\) −0.813683 2.12136i −0.0479467 0.125002i
\(289\) 8.12011 + 14.0644i 0.477654 + 0.827320i
\(290\) −1.28527 −0.0754735
\(291\) −12.3105 + 3.99816i −0.721653 + 0.234376i
\(292\) −6.60203 + 24.6391i −0.386355 + 1.44190i
\(293\) −8.43044 + 31.4628i −0.492512 + 1.83808i 0.0510301 + 0.998697i \(0.483750\pi\)
−0.543542 + 0.839382i \(0.682917\pi\)
\(294\) 0.876773 4.12227i 0.0511345 0.240416i
\(295\) −1.25537 −0.0730906
\(296\) 15.0128 + 26.0030i 0.872603 + 1.51139i
\(297\) −27.8184 + 12.3726i −1.61419 + 0.717931i
\(298\) 49.9822i 2.89539i
\(299\) 3.39012 2.66184i 0.196056 0.153938i
\(300\) −18.3490 28.2630i −1.05938 1.63177i
\(301\) −0.990009 0.990009i −0.0570632 0.0570632i
\(302\) 19.3852i 1.11550i
\(303\) 1.83821 + 2.83140i 0.105602 + 0.162659i
\(304\) 1.35157 5.04413i 0.0775179 0.289301i
\(305\) 0.377656 + 1.40943i 0.0216245 + 0.0807039i
\(306\) −2.27868 5.94076i −0.130263 0.339611i
\(307\) −11.5756 + 11.5756i −0.660657 + 0.660657i −0.955535 0.294878i \(-0.904721\pi\)
0.294878 + 0.955535i \(0.404721\pi\)
\(308\) 22.9720i 1.30895i
\(309\) 27.5591 17.8920i 1.56778 1.01784i
\(310\) −3.16818 + 3.16818i −0.179941 + 0.179941i
\(311\) 2.41098 4.17594i 0.136714 0.236796i −0.789537 0.613703i \(-0.789679\pi\)
0.926251 + 0.376907i \(0.123013\pi\)
\(312\) −16.2646 + 24.2324i −0.920803 + 1.37189i
\(313\) −3.09817 5.36619i −0.175119 0.303315i 0.765084 0.643931i \(-0.222698\pi\)
−0.940202 + 0.340616i \(0.889364\pi\)
\(314\) 2.05161 + 0.549727i 0.115779 + 0.0310229i
\(315\) −0.0607996 0.579914i −0.00342567 0.0326745i
\(316\) 29.0239 + 16.7569i 1.63272 + 0.942651i
\(317\) −15.1213 4.05173i −0.849294 0.227568i −0.192181 0.981359i \(-0.561556\pi\)
−0.657113 + 0.753792i \(0.728223\pi\)
\(318\) 10.8934 51.2168i 0.610872 2.87210i
\(319\) −15.3809 4.12131i −0.861167 0.230749i
\(320\) −1.67142 + 0.447854i −0.0934350 + 0.0250358i
\(321\) 0.648470 + 12.4043i 0.0361941 + 0.692340i
\(322\) 2.51910 + 1.45440i 0.140384 + 0.0810506i
\(323\) −0.333742 + 1.24554i −0.0185699 + 0.0693037i
\(324\) −7.31839 34.5182i −0.406577 1.91768i
\(325\) 6.66228 16.6049i 0.369557 0.921072i
\(326\) 18.9104 10.9180i 1.04735 0.604689i
\(327\) −1.24079 + 0.402978i −0.0686156 + 0.0222847i
\(328\) −3.41381 −0.188496
\(329\) −2.81317 4.87255i −0.155095 0.268632i
\(330\) 1.48257 + 4.56489i 0.0816127 + 0.251289i
\(331\) 13.7907 + 13.7907i 0.758003 + 0.758003i 0.975959 0.217956i \(-0.0699388\pi\)
−0.217956 + 0.975959i \(0.569939\pi\)
\(332\) −23.5915 + 6.32132i −1.29475 + 0.346928i
\(333\) −6.90283 17.9964i −0.378273 0.986197i
\(334\) −20.8049 + 36.0352i −1.13840 + 1.97176i
\(335\) 1.39676 2.41926i 0.0763131 0.132178i
\(336\) −5.98031 1.27196i −0.326253 0.0693913i
\(337\) 17.2477 + 9.95795i 0.939541 + 0.542444i 0.889816 0.456319i \(-0.150832\pi\)
0.0497243 + 0.998763i \(0.484166\pi\)
\(338\) −31.6242 + 0.704533i −1.72013 + 0.0383216i
\(339\) 0.302819 + 5.79248i 0.0164469 + 0.314605i
\(340\) −0.641588 + 0.171913i −0.0347950 + 0.00932330i
\(341\) −48.0730 + 27.7549i −2.60330 + 1.50301i
\(342\) −4.39483 + 9.86407i −0.237645 + 0.533388i
\(343\) 0.707107 + 0.707107i 0.0381802 + 0.0381802i
\(344\) −4.62660 + 4.62660i −0.249449 + 0.249449i
\(345\) 0.393641 + 0.0837243i 0.0211929 + 0.00450756i
\(346\) 11.3515 + 42.3642i 0.610259 + 2.27752i
\(347\) 15.2887 8.82695i 0.820742 0.473856i −0.0299303 0.999552i \(-0.509529\pi\)
0.850672 + 0.525696i \(0.176195\pi\)
\(348\) 8.38041 16.4422i 0.449237 0.881396i
\(349\) 4.31139 + 16.0903i 0.230783 + 0.861295i 0.980005 + 0.198975i \(0.0637612\pi\)
−0.749221 + 0.662320i \(0.769572\pi\)
\(350\) 12.0742 0.645395
\(351\) 12.7495 13.7277i 0.680518 0.732731i
\(352\) −4.43755 −0.236522
\(353\) 2.45141 + 9.14878i 0.130475 + 0.486941i 0.999976 0.00699201i \(-0.00222564\pi\)
−0.869500 + 0.493933i \(0.835559\pi\)
\(354\) 12.3611 24.2523i 0.656985 1.28899i
\(355\) 1.40133 0.809057i 0.0743748 0.0429403i
\(356\) 0.951953 + 3.55274i 0.0504534 + 0.188295i
\(357\) 1.47671 + 0.314085i 0.0781558 + 0.0166231i
\(358\) −9.97917 + 9.97917i −0.527416 + 0.527416i
\(359\) 16.2044 + 16.2044i 0.855238 + 0.855238i 0.990773 0.135535i \(-0.0432753\pi\)
−0.135535 + 0.990773i \(0.543275\pi\)
\(360\) −2.71011 + 0.284134i −0.142835 + 0.0149752i
\(361\) −14.5592 + 8.40576i −0.766274 + 0.442408i
\(362\) −32.2844 + 8.65057i −1.69683 + 0.454664i
\(363\) 2.10972 + 40.3559i 0.110732 + 2.11814i
\(364\) −5.55471 12.9989i −0.291146 0.681326i
\(365\) −1.09515 0.632287i −0.0573230 0.0330954i
\(366\) −30.9471 6.58221i −1.61763 0.344057i
\(367\) 11.9463 20.6916i 0.623592 1.08009i −0.365220 0.930921i \(-0.619006\pi\)
0.988811 0.149171i \(-0.0476605\pi\)
\(368\) 2.10995 3.65454i 0.109989 0.190506i
\(369\) 2.16441 + 0.343384i 0.112675 + 0.0178758i
\(370\) −2.93503 + 0.786440i −0.152585 + 0.0408851i
\(371\) 8.78540 + 8.78540i 0.456115 + 0.456115i
\(372\) −19.8723 61.1877i −1.03033 3.17244i
\(373\) −9.55632 16.5520i −0.494807 0.857032i 0.505175 0.863017i \(-0.331428\pi\)
−0.999982 + 0.00598548i \(0.998095\pi\)
\(374\) −12.4271 −0.642592
\(375\) 3.18976 1.03596i 0.164718 0.0534967i
\(376\) −22.7708 + 13.1467i −1.17432 + 0.677991i
\(377\) 9.69996 1.38709i 0.499573 0.0714390i
\(378\) 11.8019 + 4.53559i 0.607024 + 0.233285i
\(379\) 5.66788 21.1528i 0.291139 1.08655i −0.653096 0.757275i \(-0.726530\pi\)
0.944235 0.329272i \(-0.106803\pi\)
\(380\) 0.976276 + 0.563653i 0.0500819 + 0.0289148i
\(381\) −1.55625 29.7687i −0.0797290 1.52510i
\(382\) −46.7630 + 12.5301i −2.39260 + 0.641096i
\(383\) −26.0499 6.98005i −1.33109 0.356664i −0.477968 0.878377i \(-0.658626\pi\)
−0.853121 + 0.521713i \(0.825293\pi\)
\(384\) 7.25989 34.1334i 0.370480 1.74186i
\(385\) −1.10003 0.294753i −0.0560628 0.0150220i
\(386\) −6.84168 3.95005i −0.348233 0.201052i
\(387\) 3.39872 2.46797i 0.172766 0.125454i
\(388\) −28.3001 7.58298i −1.43672 0.384967i
\(389\) 8.69713 + 15.0639i 0.440962 + 0.763769i 0.997761 0.0668785i \(-0.0213040\pi\)
−0.556799 + 0.830647i \(0.687971\pi\)
\(390\) −1.94273 2.22458i −0.0983739 0.112646i
\(391\) −0.521007 + 0.902410i −0.0263484 + 0.0456368i
\(392\) 3.30451 3.30451i 0.166903 0.166903i
\(393\) −24.5676 + 15.9499i −1.23927 + 0.804566i
\(394\) 59.5634i 3.00076i
\(395\) −1.17482 + 1.17482i −0.0591117 + 0.0591117i
\(396\) −68.0648 10.7985i −3.42038 0.542643i
\(397\) −3.40995 12.7261i −0.171141 0.638705i −0.997177 0.0750884i \(-0.976076\pi\)
0.826036 0.563617i \(-0.190591\pi\)
\(398\) 14.2747 53.2741i 0.715528 2.67039i
\(399\) −1.39526 2.14912i −0.0698502 0.107590i
\(400\) 17.5165i 0.875824i
\(401\) −1.43710 1.43710i −0.0717653 0.0717653i 0.670313 0.742078i \(-0.266160\pi\)
−0.742078 + 0.670313i \(0.766160\pi\)
\(402\) 32.9838 + 50.8051i 1.64508 + 2.53393i
\(403\) 20.4912 27.3296i 1.02074 1.36138i
\(404\) 7.64127i 0.380167i
\(405\) 1.74683 + 0.0924549i 0.0868009 + 0.00459412i
\(406\) 3.30634 + 5.72675i 0.164091 + 0.284214i
\(407\) −37.6457 −1.86603
\(408\) 1.46781 6.90110i 0.0726673 0.341655i
\(409\) 8.32455 31.0677i 0.411623 1.53620i −0.379883 0.925035i \(-0.624036\pi\)
0.791505 0.611162i \(-0.209298\pi\)
\(410\) 0.0894154 0.333703i 0.00441591 0.0164804i
\(411\) 9.84463 3.19730i 0.485600 0.157711i
\(412\) 74.3754 3.66421
\(413\) 3.22943 + 5.59354i 0.158910 + 0.275240i
\(414\) −5.49346 + 6.78027i −0.269989 + 0.333232i
\(415\) 1.21081i 0.0594361i
\(416\) 2.51102 1.07302i 0.123113 0.0526089i
\(417\) −24.8632 + 1.29980i −1.21755 + 0.0636512i
\(418\) 14.9137 + 14.9137i 0.729452 + 0.729452i
\(419\) 5.90055i 0.288261i −0.989559 0.144130i \(-0.953962\pi\)
0.989559 0.144130i \(-0.0460385\pi\)
\(420\) 0.599360 1.17593i 0.0292458 0.0573797i
\(421\) 9.32376 34.7967i 0.454412 1.69589i −0.235398 0.971899i \(-0.575639\pi\)
0.689810 0.723990i \(-0.257694\pi\)
\(422\) 6.33847 + 23.6555i 0.308552 + 1.15153i
\(423\) 15.7595 6.04481i 0.766252 0.293909i
\(424\) 41.0567 41.0567i 1.99389 1.99389i
\(425\) 4.32532i 0.209809i
\(426\) 1.83173 + 35.0384i 0.0887478 + 1.69761i
\(427\) 5.30847 5.30847i 0.256895 0.256895i
\(428\) −14.0581 + 24.3494i −0.679525 + 1.17697i
\(429\) −16.1155 32.8513i −0.778066 1.58608i
\(430\) −0.331073 0.573435i −0.0159658 0.0276535i
\(431\) 35.5914 + 9.53670i 1.71438 + 0.459367i 0.976491 0.215556i \(-0.0691565\pi\)
0.737888 + 0.674923i \(0.235823\pi\)
\(432\) 6.57993 17.1214i 0.316577 0.823754i
\(433\) −18.1104 10.4561i −0.870332 0.502487i −0.00287364 0.999996i \(-0.500915\pi\)
−0.867459 + 0.497509i \(0.834248\pi\)
\(434\) 22.2665 + 5.96630i 1.06883 + 0.286391i
\(435\) 0.679820 + 0.612272i 0.0325949 + 0.0293562i
\(436\) −2.85239 0.764296i −0.136605 0.0366031i
\(437\) 1.70823 0.457719i 0.0817157 0.0218957i
\(438\) 22.9985 14.9312i 1.09891 0.713439i
\(439\) −9.15664 5.28659i −0.437022 0.252315i 0.265311 0.964163i \(-0.414525\pi\)
−0.702334 + 0.711848i \(0.747859\pi\)
\(440\) −1.37746 + 5.14077i −0.0656681 + 0.245077i
\(441\) −2.42751 + 1.76273i −0.115596 + 0.0839394i
\(442\) 7.03198 3.00493i 0.334477 0.142930i
\(443\) −28.9045 + 16.6880i −1.37329 + 0.792872i −0.991341 0.131310i \(-0.958082\pi\)
−0.381953 + 0.924182i \(0.624748\pi\)
\(444\) 9.07669 42.6753i 0.430761 2.02528i
\(445\) −0.182340 −0.00864375
\(446\) −20.4452 35.4121i −0.968108 1.67681i
\(447\) −23.8103 + 26.4372i −1.12619 + 1.25044i
\(448\) 6.29519 + 6.29519i 0.297420 + 0.297420i
\(449\) 11.7651 3.15245i 0.555229 0.148773i 0.0297153 0.999558i \(-0.490540\pi\)
0.525513 + 0.850785i \(0.323873\pi\)
\(450\) −5.67574 + 35.7753i −0.267557 + 1.68646i
\(451\) 2.14009 3.70674i 0.100773 0.174544i
\(452\) −6.56479 + 11.3705i −0.308782 + 0.534825i
\(453\) −9.23468 + 10.2535i −0.433883 + 0.481751i
\(454\) 0.945629 + 0.545959i 0.0443806 + 0.0256231i
\(455\) 0.693733 0.0992038i 0.0325227 0.00465075i
\(456\) −10.0434 + 6.52044i −0.470327 + 0.305348i
\(457\) −37.3830 + 10.0167i −1.74870 + 0.468564i −0.984349 0.176232i \(-0.943609\pi\)
−0.764355 + 0.644796i \(0.776942\pi\)
\(458\) 32.9415 19.0188i 1.53926 0.888689i
\(459\) −1.62477 + 4.22777i −0.0758379 + 0.197335i
\(460\) 0.644149 + 0.644149i 0.0300336 + 0.0300336i
\(461\) 16.5696 16.5696i 0.771721 0.771721i −0.206686 0.978407i \(-0.566268\pi\)
0.978407 + 0.206686i \(0.0662679\pi\)
\(462\) 16.5258 18.3490i 0.768850 0.853672i
\(463\) 0.990717 + 3.69741i 0.0460425 + 0.171833i 0.985118 0.171877i \(-0.0549831\pi\)
−0.939076 + 0.343710i \(0.888316\pi\)
\(464\) 8.30798 4.79661i 0.385688 0.222677i
\(465\) 3.18500 0.166505i 0.147701 0.00772150i
\(466\) −7.67468 28.6423i −0.355523 1.32683i
\(467\) 17.6504 0.816763 0.408382 0.912811i \(-0.366093\pi\)
0.408382 + 0.912811i \(0.366093\pi\)
\(468\) 41.1260 10.3479i 1.90105 0.478332i
\(469\) −14.3726 −0.663665
\(470\) −0.688686 2.57021i −0.0317667 0.118555i
\(471\) −0.823285 1.26811i −0.0379350 0.0584313i
\(472\) 26.1402 15.0921i 1.20320 0.694668i
\(473\) −2.12322 7.92398i −0.0976259 0.364345i
\(474\) −11.1282 34.2641i −0.511134 1.57380i
\(475\) 5.19078 5.19078i 0.238169 0.238169i
\(476\) 2.41647 + 2.41647i 0.110759 + 0.110759i
\(477\) −30.1604 + 21.9009i −1.38095 + 1.00277i
\(478\) 1.52302 0.879315i 0.0696613 0.0402189i
\(479\) −5.58337 + 1.49606i −0.255111 + 0.0683567i −0.384108 0.923288i \(-0.625491\pi\)
0.128997 + 0.991645i \(0.458824\pi\)
\(480\) 0.227158 + 0.115780i 0.0103683 + 0.00528459i
\(481\) 21.3021 9.10285i 0.971290 0.415054i
\(482\) −22.3435 12.9000i −1.01772 0.587579i
\(483\) −0.639589 1.96932i −0.0291023 0.0896071i
\(484\) −45.7365 + 79.2179i −2.07893 + 3.60081i
\(485\) 0.726234 1.25787i 0.0329766 0.0571171i
\(486\) −18.9864 + 32.8363i −0.861241 + 1.48949i
\(487\) 1.64967 0.442028i 0.0747537 0.0200302i −0.221248 0.975217i \(-0.571013\pi\)
0.296002 + 0.955187i \(0.404346\pi\)
\(488\) −24.8080 24.8080i −1.12301 1.12301i
\(489\) −15.2034 3.23364i −0.687522 0.146230i
\(490\) 0.236467 + 0.409572i 0.0106825 + 0.0185026i
\(491\) 19.2313 0.867896 0.433948 0.900938i \(-0.357120\pi\)
0.433948 + 0.900938i \(0.357120\pi\)
\(492\) 3.68598 + 3.31974i 0.166177 + 0.149665i
\(493\) −2.05148 + 1.18442i −0.0923940 + 0.0533437i
\(494\) −12.0452 4.83283i −0.541939 0.217439i
\(495\) 1.39043 3.12078i 0.0624951 0.140269i
\(496\) 8.65550 32.3028i 0.388644 1.45044i
\(497\) −7.20980 4.16258i −0.323404 0.186717i
\(498\) 23.3913 + 11.9223i 1.04819 + 0.534250i
\(499\) −16.7258 + 4.48167i −0.748751 + 0.200627i −0.612964 0.790111i \(-0.710023\pi\)
−0.135787 + 0.990738i \(0.543356\pi\)
\(500\) 7.33281 + 1.96482i 0.327933 + 0.0878694i
\(501\) 28.1707 9.14919i 1.25858 0.408756i
\(502\) 50.6069 + 13.5601i 2.25870 + 0.605216i
\(503\) −13.0098 7.51119i −0.580077 0.334908i 0.181087 0.983467i \(-0.442038\pi\)
−0.761164 + 0.648560i \(0.775372\pi\)
\(504\) 8.23773 + 11.3444i 0.366938 + 0.505322i
\(505\) −0.365908 0.0980448i −0.0162827 0.00436294i
\(506\) 8.52176 + 14.7601i 0.378838 + 0.656167i
\(507\) 17.0627 + 14.6924i 0.757779 + 0.652511i
\(508\) 33.7377 58.4355i 1.49687 2.59266i
\(509\) 6.81708 6.81708i 0.302162 0.302162i −0.539697 0.841859i \(-0.681461\pi\)
0.841859 + 0.539697i \(0.181461\pi\)
\(510\) 0.636144 + 0.324235i 0.0281689 + 0.0143574i
\(511\) 6.50621i 0.287818i
\(512\) 25.2201 25.2201i 1.11458 1.11458i
\(513\) 7.02358 3.12383i 0.310099 0.137921i
\(514\) 4.30548 + 16.0683i 0.189906 + 0.708741i
\(515\) −0.954308 + 3.56153i −0.0420518 + 0.156940i
\(516\) 9.49458 0.496357i 0.417976 0.0218509i
\(517\) 32.9663i 1.44986i
\(518\) 11.0545 + 11.0545i 0.485706 + 0.485706i
\(519\) 14.1772 27.8154i 0.622310 1.22096i
\(520\) −0.463608 3.24202i −0.0203306 0.142172i
\(521\) 22.4863i 0.985141i −0.870272 0.492571i \(-0.836057\pi\)
0.870272 0.492571i \(-0.163943\pi\)
\(522\) −18.5222 + 7.10452i −0.810696 + 0.310956i
\(523\) 18.4384 + 31.9362i 0.806253 + 1.39647i 0.915442 + 0.402450i \(0.131841\pi\)
−0.109189 + 0.994021i \(0.534825\pi\)
\(524\) −66.3023 −2.89643
\(525\) −6.38645 5.75189i −0.278728 0.251033i
\(526\) −2.67542 + 9.98480i −0.116654 + 0.435358i
\(527\) −2.13729 + 7.97648i −0.0931019 + 0.347461i
\(528\) −26.6195 23.9745i −1.15846 1.04336i
\(529\) −21.5709 −0.937865
\(530\) 2.93796 + 5.08870i 0.127617 + 0.221039i
\(531\) −18.0914 + 6.93926i −0.785100 + 0.301138i
\(532\) 5.79996i 0.251460i
\(533\) −0.314680 + 2.61497i −0.0136303 + 0.113267i
\(534\) 1.79542 3.52259i 0.0776955 0.152437i
\(535\) −0.985610 0.985610i −0.0426116 0.0426116i
\(536\) 67.1673i 2.90119i
\(537\) 10.0322 0.524460i 0.432919 0.0226321i
\(538\) −5.73801 + 21.4145i −0.247383 + 0.923246i
\(539\) 1.51650 + 5.65964i 0.0653201 + 0.243778i
\(540\) 3.20249 + 2.32864i 0.137813 + 0.100209i
\(541\) 8.18504 8.18504i 0.351902 0.351902i −0.508915 0.860817i \(-0.669953\pi\)
0.860817 + 0.508915i \(0.169953\pi\)
\(542\) 19.6937i 0.845915i
\(543\) 21.1972 + 10.8040i 0.909658 + 0.463642i
\(544\) −0.466794 + 0.466794i −0.0200136 + 0.0200136i
\(545\) 0.0731978 0.126782i 0.00313545 0.00543076i
\(546\) −4.91439 + 14.3789i −0.210316 + 0.615360i
\(547\) 14.7271 + 25.5081i 0.629686 + 1.09065i 0.987615 + 0.156899i \(0.0501496\pi\)
−0.357929 + 0.933749i \(0.616517\pi\)
\(548\) 22.6314 + 6.06407i 0.966766 + 0.259044i
\(549\) 13.2333 + 18.2240i 0.564785 + 0.777783i
\(550\) 61.2682 + 35.3732i 2.61249 + 1.50832i
\(551\) 3.88337 + 1.04055i 0.165437 + 0.0443288i
\(552\) −9.20320 + 2.98898i −0.391714 + 0.127220i
\(553\) 8.25685 + 2.21242i 0.351117 + 0.0940815i
\(554\) 21.1454 5.66589i 0.898381 0.240721i
\(555\) 1.92708 + 0.982209i 0.0817999 + 0.0416925i
\(556\) −48.8060 28.1781i −2.06983 1.19502i
\(557\) −2.47627 + 9.24155i −0.104923 + 0.391577i −0.998336 0.0576580i \(-0.981637\pi\)
0.893414 + 0.449235i \(0.148303\pi\)
\(558\) −28.1446 + 63.1698i −1.19146 + 2.67419i
\(559\) 3.11749 + 3.97043i 0.131856 + 0.167931i
\(560\) 0.594180 0.343050i 0.0251087 0.0144965i
\(561\) 6.57311 + 5.92000i 0.277517 + 0.249943i
\(562\) −57.0702 −2.40736
\(563\) −14.3323 24.8243i −0.604035 1.04622i −0.992203 0.124631i \(-0.960225\pi\)
0.388168 0.921589i \(-0.373108\pi\)
\(564\) 37.3708 + 7.94846i 1.57359 + 0.334691i
\(565\) −0.460255 0.460255i −0.0193631 0.0193631i
\(566\) −33.8097 + 9.05928i −1.42113 + 0.380790i
\(567\) −4.08176 8.02117i −0.171418 0.336858i
\(568\) −19.4529 + 33.6935i −0.816227 + 1.41375i
\(569\) 3.41744 5.91918i 0.143267 0.248145i −0.785458 0.618915i \(-0.787573\pi\)
0.928725 + 0.370770i \(0.120906\pi\)
\(570\) −0.374318 1.15254i −0.0156785 0.0482746i
\(571\) 18.2396 + 10.5306i 0.763304 + 0.440694i 0.830481 0.557047i \(-0.188066\pi\)
−0.0671770 + 0.997741i \(0.521399\pi\)
\(572\) 9.89583 82.2335i 0.413765 3.43835i
\(573\) 30.7035 + 15.6492i 1.28266 + 0.653756i
\(574\) −1.71689 + 0.460040i −0.0716617 + 0.0192017i
\(575\) 5.13733 2.96604i 0.214242 0.123692i
\(576\) −21.6115 + 15.6931i −0.900479 + 0.653880i
\(577\) −25.7932 25.7932i −1.07378 1.07378i −0.997052 0.0767315i \(-0.975552\pi\)
−0.0767315 0.997052i \(-0.524448\pi\)
\(578\) 27.9422 27.9422i 1.16224 1.16224i
\(579\) 1.73708 + 5.34853i 0.0721904 + 0.222277i
\(580\) 0.535995 + 2.00036i 0.0222560 + 0.0830604i
\(581\) −5.39496 + 3.11478i −0.223821 + 0.129223i
\(582\) 17.1497 + 26.4157i 0.710877 + 1.09496i
\(583\) 18.8416 + 70.3178i 0.780340 + 2.91227i
\(584\) 30.4054 1.25818
\(585\) −0.0321684 + 2.10213i −0.00133000 + 0.0869122i
\(586\) 79.2570 3.27408
\(587\) −9.61503 35.8838i −0.396855 1.48108i −0.818598 0.574367i \(-0.805248\pi\)
0.421743 0.906715i \(-0.361418\pi\)
\(588\) −6.78144 + 0.354520i −0.279662 + 0.0146201i
\(589\) 12.1374 7.00756i 0.500115 0.288741i
\(590\) 0.790591 + 2.95053i 0.0325481 + 0.121471i
\(591\) −28.3746 + 31.5050i −1.16718 + 1.29594i
\(592\) 16.0371 16.0371i 0.659120 0.659120i
\(593\) 3.01627 + 3.01627i 0.123863 + 0.123863i 0.766321 0.642458i \(-0.222085\pi\)
−0.642458 + 0.766321i \(0.722085\pi\)
\(594\) 46.5987 + 57.5903i 1.91197 + 2.36296i
\(595\) −0.146720 + 0.0847089i −0.00601494 + 0.00347273i
\(596\) −77.7910 + 20.8440i −3.18644 + 0.853805i
\(597\) −32.9289 + 21.3782i −1.34769 + 0.874953i
\(598\) −8.39115 6.29153i −0.343140 0.257280i
\(599\) 31.2830 + 18.0613i 1.27819 + 0.737963i 0.976515 0.215448i \(-0.0691211\pi\)
0.301675 + 0.953411i \(0.402454\pi\)
\(600\) −26.8802 + 29.8457i −1.09738 + 1.21845i
\(601\) −4.97583 + 8.61840i −0.202969 + 0.351552i −0.949484 0.313817i \(-0.898392\pi\)
0.746515 + 0.665369i \(0.231726\pi\)
\(602\) −1.70336 + 2.95031i −0.0694239 + 0.120246i
\(603\) 6.75614 42.5852i 0.275131 1.73420i
\(604\) −30.1707 + 8.08421i −1.22763 + 0.328942i
\(605\) −3.20657 3.20657i −0.130366 0.130366i
\(606\) 5.49704 6.10350i 0.223302 0.247938i
\(607\) −7.55920 13.0929i −0.306819 0.531425i 0.670846 0.741597i \(-0.265931\pi\)
−0.977665 + 0.210171i \(0.932598\pi\)
\(608\) 1.12039 0.0454378
\(609\) 0.979260 4.60412i 0.0396816 0.186569i
\(610\) 3.07478 1.77523i 0.124494 0.0718769i
\(611\) 7.97138 + 18.6542i 0.322487 + 0.754669i
\(612\) −8.29577 + 6.02395i −0.335337 + 0.243504i
\(613\) −0.573620 + 2.14078i −0.0231683 + 0.0864652i −0.976542 0.215327i \(-0.930918\pi\)
0.953374 + 0.301792i \(0.0975849\pi\)
\(614\) 34.4964 + 19.9165i 1.39216 + 0.803765i
\(615\) −0.206263 + 0.133911i −0.00831733 + 0.00539980i
\(616\) 26.4491 7.08703i 1.06567 0.285544i
\(617\) 14.5426 + 3.89668i 0.585463 + 0.156874i 0.539379 0.842063i \(-0.318659\pi\)
0.0460843 + 0.998938i \(0.485326\pi\)
\(618\) −59.4077 53.5048i −2.38973 2.15228i
\(619\) 9.09660 + 2.43743i 0.365623 + 0.0979684i 0.436953 0.899484i \(-0.356058\pi\)
−0.0713298 + 0.997453i \(0.522724\pi\)
\(620\) 6.25210 + 3.60965i 0.251091 + 0.144967i
\(621\) 6.13563 0.969346i 0.246214 0.0388985i
\(622\) −11.3331 3.03671i −0.454418 0.121761i
\(623\) 0.469068 + 0.812449i 0.0187928 + 0.0325501i
\(624\) 20.8599 + 7.12947i 0.835066 + 0.285407i
\(625\) 12.2174 21.1611i 0.488695 0.846445i
\(626\) −10.6611 + 10.6611i −0.426105 + 0.426105i
\(627\) −0.783796 14.9929i −0.0313018 0.598757i
\(628\) 3.42232i 0.136566i
\(629\) −3.96002 + 3.96002i −0.157896 + 0.157896i
\(630\) −1.32470 + 0.508109i −0.0527771 + 0.0202436i
\(631\) 8.28665 + 30.9262i 0.329886 + 1.23115i 0.909308 + 0.416125i \(0.136612\pi\)
−0.579421 + 0.815028i \(0.696721\pi\)
\(632\) 10.3393 38.5867i 0.411274 1.53489i
\(633\) 7.91631 15.5317i 0.314645 0.617328i
\(634\) 38.0914i 1.51280i
\(635\) 2.36534 + 2.36534i 0.0938657 + 0.0938657i
\(636\) −84.2555 + 4.40470i −3.34095 + 0.174658i
\(637\) −2.22664 2.83585i −0.0882228 0.112361i
\(638\) 38.7456i 1.53395i
\(639\) 15.7226 19.4055i 0.621977 0.767671i
\(640\) 1.95800 + 3.39136i 0.0773968 + 0.134055i
\(641\) −4.31685 −0.170506 −0.0852528 0.996359i \(-0.527170\pi\)
−0.0852528 + 0.996359i \(0.527170\pi\)
\(642\) 28.7457 9.33591i 1.13450 0.368459i
\(643\) 4.56990 17.0551i 0.180219 0.672587i −0.815385 0.578920i \(-0.803474\pi\)
0.995604 0.0936670i \(-0.0298589\pi\)
\(644\) 1.21306 4.52719i 0.0478011 0.178396i
\(645\) −0.0980561 + 0.461024i −0.00386096 + 0.0181528i
\(646\) 3.13760 0.123447
\(647\) −15.1363 26.2169i −0.595070 1.03069i −0.993537 0.113509i \(-0.963791\pi\)
0.398467 0.917183i \(-0.369542\pi\)
\(648\) −37.4853 + 19.0752i −1.47256 + 0.749346i
\(649\) 37.8444i 1.48552i
\(650\) −43.2224 5.20131i −1.69532 0.204012i
\(651\) −8.93528 13.7630i −0.350201 0.539415i
\(652\) −24.8786 24.8786i −0.974323 0.974323i
\(653\) 28.9908i 1.13450i 0.823546 + 0.567249i \(0.191992\pi\)
−0.823546 + 0.567249i \(0.808008\pi\)
\(654\) 1.72853 + 2.66246i 0.0675910 + 0.104110i
\(655\) 0.850722 3.17494i 0.0332405 0.124055i
\(656\) 0.667395 + 2.49075i 0.0260574 + 0.0972476i
\(657\) −19.2775 3.05838i −0.752088 0.119319i
\(658\) −9.68041 + 9.68041i −0.377382 + 0.377382i
\(659\) 9.49688i 0.369946i 0.982744 + 0.184973i \(0.0592197\pi\)
−0.982744 + 0.184973i \(0.940780\pi\)
\(660\) 6.48640 4.21113i 0.252483 0.163918i
\(661\) 22.7379 22.7379i 0.884404 0.884404i −0.109575 0.993979i \(-0.534949\pi\)
0.993979 + 0.109575i \(0.0349490\pi\)
\(662\) 23.7276 41.0973i 0.922198 1.59729i
\(663\) −5.15092 1.76047i −0.200045 0.0683710i
\(664\) 14.5563 + 25.2122i 0.564893 + 0.978424i
\(665\) 0.277736 + 0.0744191i 0.0107701 + 0.00288585i
\(666\) −37.9502 + 27.5574i −1.47054 + 1.06783i
\(667\) 2.81356 + 1.62441i 0.108941 + 0.0628973i
\(668\) 64.7605 + 17.3525i 2.50566 + 0.671390i
\(669\) −6.05539 + 28.4702i −0.234115 + 1.10072i
\(670\) −6.56567 1.75926i −0.253654 0.0679663i
\(671\) 42.4887 11.3848i 1.64026 0.439506i
\(672\) −0.0684833 1.30998i −0.00264180 0.0505337i
\(673\) 20.2967 + 11.7183i 0.782381 + 0.451708i 0.837273 0.546785i \(-0.184148\pi\)
−0.0548927 + 0.998492i \(0.517482\pi\)
\(674\) 12.5424 46.8087i 0.483114 1.80301i
\(675\) 20.0446 16.2189i 0.771517 0.624266i
\(676\) 14.2847 + 48.9252i 0.549412 + 1.88174i
\(677\) 38.3354 22.1329i 1.47335 0.850638i 0.473798 0.880634i \(-0.342883\pi\)
0.999550 + 0.0299959i \(0.00954941\pi\)
\(678\) 13.4235 4.35963i 0.515526 0.167431i
\(679\) −7.47291 −0.286784
\(680\) 0.395869 + 0.685665i 0.0151809 + 0.0262941i
\(681\) −0.240092 0.739252i −0.00920033 0.0283282i
\(682\) 95.5078 + 95.5078i 3.65718 + 3.65718i
\(683\) −6.32315 + 1.69428i −0.241949 + 0.0648300i −0.377756 0.925905i \(-0.623304\pi\)
0.135807 + 0.990735i \(0.456637\pi\)
\(684\) 17.1850 + 2.72639i 0.657084 + 0.104246i
\(685\) −0.580765 + 1.00591i −0.0221899 + 0.0384340i
\(686\) 1.21662 2.10724i 0.0464506 0.0804548i
\(687\) −26.4839 5.63292i −1.01043 0.214909i
\(688\) 4.28012 + 2.47113i 0.163178 + 0.0942108i
\(689\) −27.6648 35.2339i −1.05394 1.34230i
\(690\) −0.0511231 0.977909i −0.00194622 0.0372284i
\(691\) −7.84609 + 2.10235i −0.298479 + 0.0799773i −0.404951 0.914338i \(-0.632711\pi\)
0.106472 + 0.994316i \(0.466045\pi\)
\(692\) 61.2008 35.3343i 2.32650 1.34321i
\(693\) −17.4821 + 1.83286i −0.664088 + 0.0696246i
\(694\) −30.3745 30.3745i −1.15300 1.15300i
\(695\) 1.97556 1.97556i 0.0749372 0.0749372i
\(696\) −21.5164 4.57637i −0.815577 0.173467i
\(697\) −0.164799 0.615039i −0.00624221 0.0232963i
\(698\) 35.1022 20.2663i 1.32864 0.767090i
\(699\) −9.58515 + 18.8059i −0.362544 + 0.711304i
\(700\) −5.03531 18.7920i −0.190317 0.710272i
\(701\) 27.1499 1.02544 0.512718 0.858557i \(-0.328639\pi\)
0.512718 + 0.858557i \(0.328639\pi\)
\(702\) −40.2937 21.3202i −1.52079 0.804677i
\(703\) 9.50476 0.358479
\(704\) 13.5010 + 50.3864i 0.508838 + 1.89901i
\(705\) −0.860121 + 1.68754i −0.0323940 + 0.0635565i
\(706\) 19.9588 11.5232i 0.751158 0.433681i
\(707\) 0.504438 + 1.88259i 0.0189714 + 0.0708021i
\(708\) −42.9005 9.12460i −1.61230 0.342923i
\(709\) −5.42301 + 5.42301i −0.203666 + 0.203666i −0.801568 0.597903i \(-0.796001\pi\)
0.597903 + 0.801568i \(0.296001\pi\)
\(710\) −2.78405 2.78405i −0.104484 0.104484i
\(711\) −10.4366 + 23.4246i −0.391402 + 0.878491i
\(712\) 3.79681 2.19209i 0.142291 0.0821520i
\(713\) 10.9396 2.93125i 0.409690 0.109776i
\(714\) −0.191784 3.66854i −0.00717733 0.137292i
\(715\) 3.81084 + 1.52900i 0.142517 + 0.0571815i
\(716\) 19.6929 + 11.3697i 0.735960 + 0.424907i
\(717\) −1.22446 0.260433i −0.0457283 0.00972604i
\(718\) 27.8806 48.2906i 1.04050 1.80219i
\(719\) 22.1095 38.2948i 0.824546 1.42816i −0.0777192 0.996975i \(-0.524764\pi\)
0.902266 0.431181i \(-0.141903\pi\)
\(720\) 0.737131 + 1.92178i 0.0274712 + 0.0716205i
\(721\) 18.3240 4.90989i 0.682420 0.182854i
\(722\) 28.9251 + 28.9251i 1.07648 + 1.07648i
\(723\) 5.67292 + 17.4672i 0.210978 + 0.649610i
\(724\) 26.9271 + 46.6390i 1.00074 + 1.73333i
\(725\) 13.4856 0.500843
\(726\) 93.5207 30.3733i 3.47088 1.12726i
\(727\) −11.5171 + 6.64943i −0.427147 + 0.246614i −0.698131 0.715970i \(-0.745985\pi\)
0.270983 + 0.962584i \(0.412651\pi\)
\(728\) −13.2528 + 10.4057i −0.491180 + 0.385662i
\(729\) 25.6850 8.32351i 0.951296 0.308278i
\(730\) −0.796386 + 2.97215i −0.0294756 + 0.110004i
\(731\) −1.05688 0.610192i −0.0390903 0.0225688i
\(732\) 2.66149 + 50.9103i 0.0983714 + 1.88170i
\(733\) −35.1721 + 9.42432i −1.29911 + 0.348095i −0.841113 0.540859i \(-0.818099\pi\)
−0.457996 + 0.888954i \(0.651433\pi\)
\(734\) −56.1552 15.0468i −2.07273 0.555386i
\(735\) 0.0700359 0.329283i 0.00258331 0.0121458i
\(736\) 0.874526 + 0.234328i 0.0322354 + 0.00863746i
\(737\) −72.9308 42.1066i −2.68644 1.55102i
\(738\) −0.556012 5.30331i −0.0204671 0.195218i
\(739\) 28.4382 + 7.62000i 1.04612 + 0.280306i 0.740646 0.671895i \(-0.234519\pi\)
0.305471 + 0.952201i \(0.401186\pi\)
\(740\) 2.44799 + 4.24005i 0.0899900 + 0.155867i
\(741\) 4.06885 + 8.29429i 0.149473 + 0.304699i
\(742\) 15.1158 26.1813i 0.554917 0.961144i
\(743\) 4.53255 4.53255i 0.166283 0.166283i −0.619060 0.785343i \(-0.712486\pi\)
0.785343 + 0.619060i \(0.212486\pi\)
\(744\) −64.3186 + 41.7571i −2.35803 + 1.53089i
\(745\) 3.99253i 0.146275i
\(746\) −32.8843 + 32.8843i −1.20398 + 1.20398i
\(747\) −6.69291 17.4491i −0.244881 0.638431i
\(748\) 5.18248 + 19.3413i 0.189490 + 0.707187i
\(749\) −1.85609 + 6.92704i −0.0678202 + 0.253108i
\(750\) −4.44364 6.84454i −0.162259 0.249927i
\(751\) 42.5156i 1.55142i −0.631091 0.775709i \(-0.717393\pi\)
0.631091 0.775709i \(-0.282607\pi\)
\(752\) 14.0437 + 14.0437i 0.512121 + 0.512121i
\(753\) −20.3079 31.2803i −0.740062 1.13992i
\(754\) −9.36883 21.9245i −0.341193 0.798442i
\(755\) 1.54848i 0.0563548i
\(756\) 2.13733 20.2597i 0.0777341 0.736837i
\(757\) −4.82719 8.36094i −0.175447 0.303884i 0.764869 0.644186i \(-0.222804\pi\)
−0.940316 + 0.340303i \(0.889470\pi\)
\(758\) −53.2853 −1.93541
\(759\) 2.52395 11.8667i 0.0916134 0.430733i
\(760\) 0.347782 1.29794i 0.0126154 0.0470812i
\(761\) 1.94465 7.25754i 0.0704936 0.263086i −0.921680 0.387951i \(-0.873183\pi\)
0.992174 + 0.124865i \(0.0398498\pi\)
\(762\) −68.9860 + 22.4050i −2.49910 + 0.811648i
\(763\) −0.753202 −0.0272677
\(764\) 39.0031 + 67.5554i 1.41108 + 2.44407i
\(765\) −0.182019 0.474543i −0.00658090 0.0171571i
\(766\) 65.6215i 2.37100i
\(767\) −9.15090 21.4145i −0.330420 0.773233i
\(768\) −53.9984 + 2.82293i −1.94850 + 0.101864i
\(769\) −1.65101 1.65101i −0.0595368 0.0595368i 0.676711 0.736248i \(-0.263404\pi\)
−0.736248 + 0.676711i \(0.763404\pi\)
\(770\) 2.77105i 0.0998618i
\(771\) 5.37724 10.5501i 0.193657 0.379951i
\(772\) −3.29457 + 12.2955i −0.118574 + 0.442525i
\(773\) −8.67613 32.3798i −0.312059 1.16462i −0.926697 0.375810i \(-0.877365\pi\)