Properties

Label 588.2.x.b.559.14
Level $588$
Weight $2$
Character 588.559
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 559.14
Character \(\chi\) \(=\) 588.559
Dual form 588.2.x.b.223.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0968063 - 1.41090i) q^{2} +(0.222521 + 0.974928i) q^{3} +(-1.98126 + 0.273167i) q^{4} +(-3.84631 + 0.877896i) q^{5} +(1.35398 - 0.408333i) q^{6} +(2.22982 - 1.42405i) q^{7} +(0.577209 + 2.76890i) q^{8} +(-0.900969 + 0.433884i) q^{9} +O(q^{10})\) \(q+(-0.0968063 - 1.41090i) q^{2} +(0.222521 + 0.974928i) q^{3} +(-1.98126 + 0.273167i) q^{4} +(-3.84631 + 0.877896i) q^{5} +(1.35398 - 0.408333i) q^{6} +(2.22982 - 1.42405i) q^{7} +(0.577209 + 2.76890i) q^{8} +(-0.900969 + 0.433884i) q^{9} +(1.61097 + 5.34176i) q^{10} +(0.211161 - 0.438481i) q^{11} +(-0.707190 - 1.87080i) q^{12} +(1.80566 - 3.74949i) q^{13} +(-2.22505 - 3.00818i) q^{14} +(-1.71177 - 3.55453i) q^{15} +(3.85076 - 1.08243i) q^{16} +(3.87770 + 3.09236i) q^{17} +(0.699384 + 1.22917i) q^{18} +1.26247 q^{19} +(7.38072 - 2.79002i) q^{20} +(1.88453 + 1.85703i) q^{21} +(-0.639093 - 0.255479i) q^{22} +(1.01756 - 0.811475i) q^{23} +(-2.57104 + 1.17888i) q^{24} +(9.51858 - 4.58391i) q^{25} +(-5.46495 - 2.18463i) q^{26} +(-0.623490 - 0.781831i) q^{27} +(-4.02884 + 3.43052i) q^{28} +(3.84838 - 4.82572i) q^{29} +(-4.84936 + 2.75923i) q^{30} +1.46864 q^{31} +(-1.89997 - 5.32824i) q^{32} +(0.474475 + 0.108296i) q^{33} +(3.98761 - 5.77039i) q^{34} +(-7.32641 + 7.43489i) q^{35} +(1.66653 - 1.10575i) q^{36} +(5.94597 - 7.45601i) q^{37} +(-0.122215 - 1.78122i) q^{38} +(4.05728 + 0.926049i) q^{39} +(-4.65094 - 10.1433i) q^{40} +(-0.785690 + 0.179329i) q^{41} +(2.43764 - 2.83864i) q^{42} +(-9.95871 - 2.27301i) q^{43} +(-0.298586 + 0.926427i) q^{44} +(3.08450 - 2.45981i) q^{45} +(-1.24341 - 1.35711i) q^{46} +(7.29098 + 3.51115i) q^{47} +(1.91217 + 3.51335i) q^{48} +(2.94417 - 6.35074i) q^{49} +(-7.38887 - 12.9860i) q^{50} +(-2.15196 + 4.46859i) q^{51} +(-2.55324 + 7.92196i) q^{52} +(4.02092 + 5.04208i) q^{53} +(-1.04273 + 0.955366i) q^{54} +(-0.427252 + 1.87191i) q^{55} +(5.23013 + 5.35218i) q^{56} +(0.280926 + 1.23082i) q^{57} +(-7.18114 - 4.96251i) q^{58} +(-0.246939 + 1.08191i) q^{59} +(4.36244 + 6.57483i) q^{60} +(4.52728 + 3.61038i) q^{61} +(-0.142173 - 2.07209i) q^{62} +(-1.39112 + 2.25051i) q^{63} +(-7.33366 + 3.19647i) q^{64} +(-3.65347 + 16.0069i) q^{65} +(0.106862 - 0.679919i) q^{66} +5.76579i q^{67} +(-8.52745 - 5.06750i) q^{68} +(1.01756 + 0.811475i) q^{69} +(11.1991 + 9.61706i) q^{70} +(-3.14148 + 2.50524i) q^{71} +(-1.72143 - 2.24425i) q^{72} +(6.35632 + 13.1990i) q^{73} +(-11.0953 - 7.66735i) q^{74} +(6.58706 + 8.25991i) q^{75} +(-2.50128 + 0.344866i) q^{76} +(-0.153568 - 1.27844i) q^{77} +(0.913788 - 5.81405i) q^{78} -17.2973i q^{79} +(-13.8610 + 7.54393i) q^{80} +(0.623490 - 0.781831i) q^{81} +(0.329074 + 1.09117i) q^{82} +(-4.95499 + 2.38620i) q^{83} +(-4.24101 - 3.16446i) q^{84} +(-17.6296 - 8.48997i) q^{85} +(-2.24292 + 14.2707i) q^{86} +(5.56108 + 2.67807i) q^{87} +(1.33600 + 0.331590i) q^{88} +(-6.19385 - 12.8617i) q^{89} +(-3.76914 - 4.11379i) q^{90} +(-1.31317 - 10.9320i) q^{91} +(-1.79437 + 1.88570i) q^{92} +(0.326802 + 1.43181i) q^{93} +(4.24806 - 10.6267i) q^{94} +(-4.85586 + 1.10832i) q^{95} +(4.77186 - 3.03798i) q^{96} +3.59515i q^{97} +(-9.24525 - 3.53912i) q^{98} +0.486678i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} + O(q^{10}) \) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0968063 1.41090i −0.0684524 0.997654i
\(3\) 0.222521 + 0.974928i 0.128473 + 0.562875i
\(4\) −1.98126 + 0.273167i −0.990629 + 0.136584i
\(5\) −3.84631 + 0.877896i −1.72012 + 0.392607i −0.964850 0.262802i \(-0.915353\pi\)
−0.755274 + 0.655409i \(0.772496\pi\)
\(6\) 1.35398 0.408333i 0.552760 0.166701i
\(7\) 2.22982 1.42405i 0.842792 0.538240i
\(8\) 0.577209 + 2.76890i 0.204074 + 0.978955i
\(9\) −0.900969 + 0.433884i −0.300323 + 0.144628i
\(10\) 1.61097 + 5.34176i 0.509433 + 1.68921i
\(11\) 0.211161 0.438481i 0.0636676 0.132207i −0.866707 0.498818i \(-0.833768\pi\)
0.930374 + 0.366611i \(0.119482\pi\)
\(12\) −0.707190 1.87080i −0.204148 0.540053i
\(13\) 1.80566 3.74949i 0.500800 1.03992i −0.485389 0.874299i \(-0.661322\pi\)
0.986189 0.165624i \(-0.0529638\pi\)
\(14\) −2.22505 3.00818i −0.594669 0.803971i
\(15\) −1.71177 3.55453i −0.441977 0.917775i
\(16\) 3.85076 1.08243i 0.962690 0.270607i
\(17\) 3.87770 + 3.09236i 0.940480 + 0.750007i 0.968348 0.249604i \(-0.0803005\pi\)
−0.0278684 + 0.999612i \(0.508872\pi\)
\(18\) 0.699384 + 1.22917i 0.164847 + 0.289718i
\(19\) 1.26247 0.289631 0.144815 0.989459i \(-0.453741\pi\)
0.144815 + 0.989459i \(0.453741\pi\)
\(20\) 7.38072 2.79002i 1.65038 0.623868i
\(21\) 1.88453 + 1.85703i 0.411237 + 0.405237i
\(22\) −0.639093 0.255479i −0.136255 0.0544683i
\(23\) 1.01756 0.811475i 0.212175 0.169204i −0.511636 0.859203i \(-0.670960\pi\)
0.723811 + 0.689998i \(0.242389\pi\)
\(24\) −2.57104 + 1.17888i −0.524811 + 0.240637i
\(25\) 9.51858 4.58391i 1.90372 0.916781i
\(26\) −5.46495 2.18463i −1.07176 0.428440i
\(27\) −0.623490 0.781831i −0.119991 0.150464i
\(28\) −4.02884 + 3.43052i −0.761379 + 0.648307i
\(29\) 3.84838 4.82572i 0.714627 0.896114i −0.283393 0.959004i \(-0.591460\pi\)
0.998020 + 0.0628897i \(0.0200316\pi\)
\(30\) −4.84936 + 2.75923i −0.885368 + 0.503764i
\(31\) 1.46864 0.263775 0.131887 0.991265i \(-0.457896\pi\)
0.131887 + 0.991265i \(0.457896\pi\)
\(32\) −1.89997 5.32824i −0.335871 0.941908i
\(33\) 0.474475 + 0.108296i 0.0825956 + 0.0188519i
\(34\) 3.98761 5.77039i 0.683870 0.989613i
\(35\) −7.32641 + 7.43489i −1.23839 + 1.25673i
\(36\) 1.66653 1.10575i 0.277755 0.184292i
\(37\) 5.94597 7.45601i 0.977511 1.22576i 0.00332925 0.999994i \(-0.498940\pi\)
0.974182 0.225765i \(-0.0724883\pi\)
\(38\) −0.122215 1.78122i −0.0198259 0.288951i
\(39\) 4.05728 + 0.926049i 0.649685 + 0.148286i
\(40\) −4.65094 10.1433i −0.735378 1.60380i
\(41\) −0.785690 + 0.179329i −0.122704 + 0.0280064i −0.283432 0.958992i \(-0.591473\pi\)
0.160728 + 0.986999i \(0.448616\pi\)
\(42\) 2.43764 2.83864i 0.376136 0.438012i
\(43\) −9.95871 2.27301i −1.51869 0.346631i −0.619783 0.784773i \(-0.712779\pi\)
−0.898906 + 0.438142i \(0.855637\pi\)
\(44\) −0.298586 + 0.926427i −0.0450136 + 0.139664i
\(45\) 3.08450 2.45981i 0.459811 0.366687i
\(46\) −1.24341 1.35711i −0.183331 0.200095i
\(47\) 7.29098 + 3.51115i 1.06350 + 0.512154i 0.882006 0.471238i \(-0.156193\pi\)
0.181493 + 0.983392i \(0.441907\pi\)
\(48\) 1.91217 + 3.51335i 0.275997 + 0.507108i
\(49\) 2.94417 6.35074i 0.420595 0.907248i
\(50\) −7.38887 12.9860i −1.04494 1.83649i
\(51\) −2.15196 + 4.46859i −0.301335 + 0.625728i
\(52\) −2.55324 + 7.92196i −0.354071 + 1.09858i
\(53\) 4.02092 + 5.04208i 0.552316 + 0.692583i 0.977117 0.212704i \(-0.0682272\pi\)
−0.424800 + 0.905287i \(0.639656\pi\)
\(54\) −1.04273 + 0.955366i −0.141897 + 0.130009i
\(55\) −0.427252 + 1.87191i −0.0576107 + 0.252409i
\(56\) 5.23013 + 5.35218i 0.698905 + 0.715215i
\(57\) 0.280926 + 1.23082i 0.0372096 + 0.163026i
\(58\) −7.18114 4.96251i −0.942930 0.651610i
\(59\) −0.246939 + 1.08191i −0.0321487 + 0.140853i −0.988455 0.151513i \(-0.951585\pi\)
0.956307 + 0.292366i \(0.0944425\pi\)
\(60\) 4.36244 + 6.57483i 0.563188 + 0.848807i
\(61\) 4.52728 + 3.61038i 0.579659 + 0.462262i 0.868896 0.494995i \(-0.164830\pi\)
−0.289237 + 0.957257i \(0.593402\pi\)
\(62\) −0.142173 2.07209i −0.0180560 0.263156i
\(63\) −1.39112 + 2.25051i −0.175265 + 0.283537i
\(64\) −7.33366 + 3.19647i −0.916707 + 0.399559i
\(65\) −3.65347 + 16.0069i −0.453158 + 1.98541i
\(66\) 0.106862 0.679919i 0.0131538 0.0836923i
\(67\) 5.76579i 0.704404i 0.935924 + 0.352202i \(0.114567\pi\)
−0.935924 + 0.352202i \(0.885433\pi\)
\(68\) −8.52745 5.06750i −1.03410 0.614525i
\(69\) 1.01756 + 0.811475i 0.122500 + 0.0976901i
\(70\) 11.1991 + 9.61706i 1.33855 + 1.14946i
\(71\) −3.14148 + 2.50524i −0.372825 + 0.297318i −0.791920 0.610624i \(-0.790919\pi\)
0.419096 + 0.907942i \(0.362347\pi\)
\(72\) −1.72143 2.24425i −0.202872 0.264488i
\(73\) 6.35632 + 13.1990i 0.743952 + 1.54483i 0.835785 + 0.549057i \(0.185013\pi\)
−0.0918335 + 0.995774i \(0.529273\pi\)
\(74\) −11.0953 7.66735i −1.28980 0.891312i
\(75\) 6.58706 + 8.25991i 0.760608 + 0.953772i
\(76\) −2.50128 + 0.344866i −0.286916 + 0.0395588i
\(77\) −0.153568 1.27844i −0.0175006 0.145691i
\(78\) 0.913788 5.81405i 0.103466 0.658312i
\(79\) 17.2973i 1.94610i −0.230603 0.973048i \(-0.574070\pi\)
0.230603 0.973048i \(-0.425930\pi\)
\(80\) −13.8610 + 7.54393i −1.54970 + 0.843437i
\(81\) 0.623490 0.781831i 0.0692766 0.0868702i
\(82\) 0.329074 + 1.09117i 0.0363401 + 0.120499i
\(83\) −4.95499 + 2.38620i −0.543881 + 0.261919i −0.685588 0.727989i \(-0.740455\pi\)
0.141708 + 0.989909i \(0.454741\pi\)
\(84\) −4.24101 3.16446i −0.462732 0.345271i
\(85\) −17.6296 8.48997i −1.91220 0.920867i
\(86\) −2.24292 + 14.2707i −0.241860 + 1.53885i
\(87\) 5.56108 + 2.67807i 0.596210 + 0.287120i
\(88\) 1.33600 + 0.331590i 0.142418 + 0.0353477i
\(89\) −6.19385 12.8617i −0.656547 1.36333i −0.917404 0.397957i \(-0.869719\pi\)
0.260857 0.965377i \(-0.415995\pi\)
\(90\) −3.76914 4.11379i −0.397302 0.433631i
\(91\) −1.31317 10.9320i −0.137658 1.14599i
\(92\) −1.79437 + 1.88570i −0.187077 + 0.196598i
\(93\) 0.326802 + 1.43181i 0.0338878 + 0.148472i
\(94\) 4.24806 10.6267i 0.438154 1.09606i
\(95\) −4.85586 + 1.10832i −0.498200 + 0.113711i
\(96\) 4.77186 3.03798i 0.487026 0.310063i
\(97\) 3.59515i 0.365033i 0.983203 + 0.182516i \(0.0584242\pi\)
−0.983203 + 0.182516i \(0.941576\pi\)
\(98\) −9.24525 3.53912i −0.933911 0.357506i
\(99\) 0.486678i 0.0489129i
\(100\) −17.6066 + 11.6821i −1.76066 + 1.16821i
\(101\) −9.20206 + 2.10031i −0.915640 + 0.208989i −0.654280 0.756253i \(-0.727028\pi\)
−0.261360 + 0.965241i \(0.584171\pi\)
\(102\) 6.51304 + 2.60360i 0.644887 + 0.257795i
\(103\) 3.13189 + 13.7217i 0.308595 + 1.35204i 0.856779 + 0.515684i \(0.172462\pi\)
−0.548185 + 0.836357i \(0.684681\pi\)
\(104\) 11.4242 + 2.83546i 1.12024 + 0.278040i
\(105\) −8.87876 5.48830i −0.866478 0.535603i
\(106\) 6.72460 6.16121i 0.653151 0.598430i
\(107\) −7.50112 15.5762i −0.725161 1.50581i −0.857431 0.514598i \(-0.827941\pi\)
0.132271 0.991214i \(-0.457773\pi\)
\(108\) 1.44886 + 1.37869i 0.139417 + 0.132665i
\(109\) −1.60357 0.772241i −0.153595 0.0739672i 0.355507 0.934673i \(-0.384308\pi\)
−0.509102 + 0.860706i \(0.670022\pi\)
\(110\) 2.68244 + 0.421595i 0.255760 + 0.0401975i
\(111\) 8.59217 + 4.13777i 0.815533 + 0.392740i
\(112\) 7.04506 7.89729i 0.665695 0.746224i
\(113\) 13.6982 6.59671i 1.28862 0.620566i 0.341028 0.940053i \(-0.389225\pi\)
0.947591 + 0.319487i \(0.103511\pi\)
\(114\) 1.70936 0.515509i 0.160096 0.0482818i
\(115\) −3.20145 + 4.01450i −0.298537 + 0.374354i
\(116\) −6.30641 + 10.6122i −0.585535 + 0.985323i
\(117\) 4.16162i 0.384742i
\(118\) 1.55037 + 0.243670i 0.142723 + 0.0224316i
\(119\) 13.0502 + 1.37337i 1.19631 + 0.125896i
\(120\) 8.85410 6.79143i 0.808265 0.619970i
\(121\) 6.71071 + 8.41497i 0.610065 + 0.764997i
\(122\) 4.65561 6.73703i 0.421499 0.609942i
\(123\) −0.349665 0.726087i −0.0315282 0.0654691i
\(124\) −2.90975 + 0.401184i −0.261303 + 0.0360274i
\(125\) −17.1647 + 13.6884i −1.53526 + 1.22433i
\(126\) 3.30990 + 1.74487i 0.294869 + 0.155445i
\(127\) 2.69476 + 2.14900i 0.239121 + 0.190693i 0.735717 0.677289i \(-0.236845\pi\)
−0.496596 + 0.867982i \(0.665417\pi\)
\(128\) 5.21984 + 10.0376i 0.461373 + 0.887206i
\(129\) 10.2148i 0.899364i
\(130\) 22.9378 + 3.60510i 2.01178 + 0.316188i
\(131\) −0.220049 + 0.964099i −0.0192258 + 0.0842338i −0.983631 0.180196i \(-0.942327\pi\)
0.964405 + 0.264430i \(0.0851838\pi\)
\(132\) −0.969641 0.0849509i −0.0843964 0.00739402i
\(133\) 2.81508 1.79782i 0.244098 0.155891i
\(134\) 8.13494 0.558165i 0.702752 0.0482181i
\(135\) 3.08450 + 2.45981i 0.265472 + 0.211707i
\(136\) −6.32421 + 12.5219i −0.542296 + 1.07374i
\(137\) 4.05489 17.7656i 0.346432 1.51782i −0.438781 0.898594i \(-0.644590\pi\)
0.785213 0.619225i \(-0.212553\pi\)
\(138\) 1.04640 1.51422i 0.0890756 0.128899i
\(139\) 2.69583 + 11.8112i 0.228657 + 1.00181i 0.950736 + 0.310002i \(0.100330\pi\)
−0.722079 + 0.691811i \(0.756813\pi\)
\(140\) 12.4845 16.7318i 1.05514 1.41409i
\(141\) −1.80072 + 7.88948i −0.151648 + 0.664414i
\(142\) 3.83876 + 4.18978i 0.322141 + 0.351598i
\(143\) −1.26280 1.58350i −0.105600 0.132419i
\(144\) −2.99977 + 2.64602i −0.249980 + 0.220501i
\(145\) −10.5656 + 21.9397i −0.877426 + 1.82199i
\(146\) 18.0072 10.2459i 1.49028 0.847954i
\(147\) 6.84665 + 1.45718i 0.564702 + 0.120186i
\(148\) −9.74375 + 16.3965i −0.800931 + 1.34778i
\(149\) −6.45073 3.10651i −0.528464 0.254495i 0.150573 0.988599i \(-0.451888\pi\)
−0.679037 + 0.734104i \(0.737602\pi\)
\(150\) 11.0162 10.0933i 0.899470 0.824112i
\(151\) 14.3752 11.4638i 1.16984 0.932915i 0.171208 0.985235i \(-0.445233\pi\)
0.998630 + 0.0523203i \(0.0166617\pi\)
\(152\) 0.728709 + 3.49566i 0.0591061 + 0.283535i
\(153\) −4.83541 1.10365i −0.390920 0.0892249i
\(154\) −1.78888 + 0.340429i −0.144152 + 0.0274325i
\(155\) −5.64884 + 1.28931i −0.453725 + 0.103560i
\(156\) −8.29149 0.726423i −0.663850 0.0581604i
\(157\) −2.24926 0.513379i −0.179511 0.0409721i 0.131821 0.991274i \(-0.457918\pi\)
−0.311331 + 0.950301i \(0.600775\pi\)
\(158\) −24.4047 + 1.67449i −1.94153 + 0.133215i
\(159\) −4.02092 + 5.04208i −0.318880 + 0.399863i
\(160\) 11.9855 + 18.8261i 0.947539 + 1.48833i
\(161\) 1.11339 3.25849i 0.0877472 0.256805i
\(162\) −1.16344 0.803993i −0.0914086 0.0631677i
\(163\) −20.1553 4.60033i −1.57869 0.360325i −0.658742 0.752369i \(-0.728911\pi\)
−0.919947 + 0.392044i \(0.871768\pi\)
\(164\) 1.50767 0.569921i 0.117729 0.0445034i
\(165\) −1.92005 −0.149476
\(166\) 3.84635 + 6.75998i 0.298535 + 0.524676i
\(167\) 5.97855 7.49686i 0.462634 0.580124i −0.494716 0.869054i \(-0.664728\pi\)
0.957350 + 0.288930i \(0.0932995\pi\)
\(168\) −4.05417 + 6.28997i −0.312786 + 0.485281i
\(169\) −2.69293 3.37682i −0.207148 0.259756i
\(170\) −10.2718 + 25.6954i −0.787812 + 1.97075i
\(171\) −1.13745 + 0.547765i −0.0869827 + 0.0418887i
\(172\) 20.3517 + 1.78302i 1.55180 + 0.135954i
\(173\) 14.8636 11.8533i 1.13006 0.901191i 0.134095 0.990968i \(-0.457187\pi\)
0.995962 + 0.0897778i \(0.0286157\pi\)
\(174\) 3.24014 8.10536i 0.245634 0.614466i
\(175\) 14.6970 23.7762i 1.11099 1.79731i
\(176\) 0.338507 1.91705i 0.0255159 0.144503i
\(177\) −1.10973 −0.0834127
\(178\) −17.5469 + 9.98398i −1.31519 + 0.748331i
\(179\) 2.37352 + 1.89282i 0.177405 + 0.141476i 0.708167 0.706045i \(-0.249523\pi\)
−0.530761 + 0.847521i \(0.678094\pi\)
\(180\) −5.43925 + 5.71610i −0.405418 + 0.426053i
\(181\) −6.09541 12.6573i −0.453069 0.940806i −0.994952 0.100353i \(-0.968003\pi\)
0.541883 0.840454i \(-0.317711\pi\)
\(182\) −15.2968 + 2.91104i −1.13388 + 0.215780i
\(183\) −2.51245 + 5.21716i −0.185726 + 0.385663i
\(184\) 2.83424 + 2.34913i 0.208943 + 0.173180i
\(185\) −16.3245 + 33.8981i −1.20020 + 2.49224i
\(186\) 1.98851 0.599693i 0.145804 0.0439716i
\(187\) 2.17476 1.04731i 0.159034 0.0765869i
\(188\) −15.4044 4.96483i −1.12348 0.362098i
\(189\) −2.50363 0.855461i −0.182113 0.0622256i
\(190\) 2.03380 + 6.74382i 0.147547 + 0.489248i
\(191\) −12.8094 + 2.92366i −0.926856 + 0.211549i −0.659202 0.751966i \(-0.729106\pi\)
−0.267654 + 0.963515i \(0.586248\pi\)
\(192\) −4.74822 6.43851i −0.342674 0.464659i
\(193\) 1.21712 + 5.33255i 0.0876101 + 0.383845i 0.999656 0.0262441i \(-0.00835473\pi\)
−0.912045 + 0.410089i \(0.865498\pi\)
\(194\) 5.07239 0.348034i 0.364176 0.0249874i
\(195\) −16.4186 −1.17576
\(196\) −4.09834 + 13.3867i −0.292738 + 0.956193i
\(197\) −5.42046 −0.386192 −0.193096 0.981180i \(-0.561853\pi\)
−0.193096 + 0.981180i \(0.561853\pi\)
\(198\) 0.686652 0.0471135i 0.0487982 0.00334821i
\(199\) 4.19586 + 18.3833i 0.297437 + 1.30316i 0.873929 + 0.486054i \(0.161564\pi\)
−0.576492 + 0.817103i \(0.695579\pi\)
\(200\) 18.1866 + 23.7102i 1.28599 + 1.67656i
\(201\) −5.62123 + 1.28301i −0.396491 + 0.0904966i
\(202\) 3.85414 + 12.7798i 0.271176 + 0.899186i
\(203\) 1.70913 16.2408i 0.119957 1.13988i
\(204\) 3.04291 9.44127i 0.213046 0.661021i
\(205\) 2.86458 1.37951i 0.200071 0.0963491i
\(206\) 19.0567 5.74712i 1.32775 0.400421i
\(207\) −0.564702 + 1.17262i −0.0392495 + 0.0815024i
\(208\) 2.89460 16.3929i 0.200705 1.13664i
\(209\) 0.266585 0.553570i 0.0184401 0.0382912i
\(210\) −6.88390 + 13.0583i −0.475035 + 0.901109i
\(211\) 10.0671 + 20.9046i 0.693048 + 1.43913i 0.888715 + 0.458459i \(0.151598\pi\)
−0.195667 + 0.980670i \(0.562687\pi\)
\(212\) −9.34381 8.89127i −0.641736 0.610655i
\(213\) −3.14148 2.50524i −0.215250 0.171657i
\(214\) −21.2503 + 12.0912i −1.45264 + 0.826536i
\(215\) 40.2998 2.74842
\(216\) 1.80493 2.17766i 0.122810 0.148171i
\(217\) 3.27479 2.09141i 0.222307 0.141974i
\(218\) −0.934316 + 2.33724i −0.0632798 + 0.158298i
\(219\) −11.4537 + 9.13402i −0.773969 + 0.617220i
\(220\) 0.335150 3.82545i 0.0225958 0.257912i
\(221\) 18.5966 8.95565i 1.25094 0.602422i
\(222\) 5.00619 12.5232i 0.335993 0.840504i
\(223\) −9.77737 12.2604i −0.654741 0.821019i 0.338018 0.941140i \(-0.390243\pi\)
−0.992759 + 0.120120i \(0.961672\pi\)
\(224\) −11.8243 9.17534i −0.790042 0.613053i
\(225\) −6.58706 + 8.25991i −0.439137 + 0.550661i
\(226\) −10.6333 18.6881i −0.707319 1.24312i
\(227\) −5.31375 −0.352686 −0.176343 0.984329i \(-0.556427\pi\)
−0.176343 + 0.984329i \(0.556427\pi\)
\(228\) −0.892806 2.36183i −0.0591275 0.156416i
\(229\) 21.3557 + 4.87430i 1.41122 + 0.322103i 0.859164 0.511701i \(-0.170984\pi\)
0.552061 + 0.833804i \(0.313842\pi\)
\(230\) 5.97396 + 4.12829i 0.393911 + 0.272212i
\(231\) 1.21221 0.434196i 0.0797577 0.0285680i
\(232\) 15.5833 + 7.87036i 1.02309 + 0.516714i
\(233\) 2.34249 2.93739i 0.153462 0.192435i −0.699157 0.714968i \(-0.746441\pi\)
0.852619 + 0.522533i \(0.175013\pi\)
\(234\) 5.87162 0.402872i 0.383840 0.0263365i
\(235\) −31.1258 7.10426i −2.03042 0.463431i
\(236\) 0.193707 2.21100i 0.0126093 0.143924i
\(237\) 16.8636 3.84901i 1.09541 0.250020i
\(238\) 0.674333 18.5455i 0.0437105 1.20212i
\(239\) −6.92758 1.58118i −0.448108 0.102278i −0.00748909 0.999972i \(-0.502384\pi\)
−0.440619 + 0.897694i \(0.645241\pi\)
\(240\) −10.4391 11.8348i −0.673844 0.763930i
\(241\) 6.35072 5.06453i 0.409086 0.326235i −0.397231 0.917718i \(-0.630029\pi\)
0.806317 + 0.591484i \(0.201458\pi\)
\(242\) 11.2230 10.2827i 0.721442 0.661000i
\(243\) 0.900969 + 0.433884i 0.0577972 + 0.0278337i
\(244\) −9.95594 5.91639i −0.637364 0.378758i
\(245\) −5.74890 + 27.0116i −0.367284 + 1.72571i
\(246\) −0.990584 + 0.563631i −0.0631573 + 0.0359358i
\(247\) 2.27959 4.73363i 0.145047 0.301193i
\(248\) 0.847710 + 4.06651i 0.0538297 + 0.258224i
\(249\) −3.42896 4.29978i −0.217301 0.272487i
\(250\) 20.9746 + 22.8925i 1.32655 + 1.44785i
\(251\) 0.449468 1.96925i 0.0283702 0.124298i −0.958760 0.284217i \(-0.908266\pi\)
0.987130 + 0.159919i \(0.0511234\pi\)
\(252\) 2.14141 4.83884i 0.134896 0.304818i
\(253\) −0.140948 0.617532i −0.00886131 0.0388239i
\(254\) 2.77115 4.01007i 0.173877 0.251614i
\(255\) 4.35415 19.0768i 0.272668 1.19463i
\(256\) 13.6567 8.33635i 0.853543 0.521022i
\(257\) −5.51642 4.39920i −0.344105 0.274414i 0.436153 0.899873i \(-0.356341\pi\)
−0.780258 + 0.625458i \(0.784912\pi\)
\(258\) −14.4120 + 0.988859i −0.897255 + 0.0615637i
\(259\) 2.64070 25.0929i 0.164085 1.55920i
\(260\) 2.86590 32.7118i 0.177736 2.02870i
\(261\) −1.37347 + 6.01758i −0.0850158 + 0.372479i
\(262\) 1.38155 + 0.217136i 0.0853522 + 0.0134147i
\(263\) 24.6901i 1.52246i 0.648483 + 0.761229i \(0.275404\pi\)
−0.648483 + 0.761229i \(0.724596\pi\)
\(264\) −0.0259895 + 1.37629i −0.00159954 + 0.0847046i
\(265\) −19.8921 15.8635i −1.22196 0.974484i
\(266\) −2.80906 3.79774i −0.172234 0.232855i
\(267\) 11.1609 8.90055i 0.683038 0.544705i
\(268\) −1.57503 11.4235i −0.0962101 0.697803i
\(269\) 3.38566 + 7.03040i 0.206428 + 0.428651i 0.978319 0.207103i \(-0.0664035\pi\)
−0.771892 + 0.635754i \(0.780689\pi\)
\(270\) 3.17194 4.59004i 0.193038 0.279341i
\(271\) −16.4026 20.5683i −0.996389 1.24943i −0.968290 0.249828i \(-0.919626\pi\)
−0.0280990 0.999605i \(-0.508945\pi\)
\(272\) 18.2793 + 7.71060i 1.10835 + 0.467524i
\(273\) 10.3657 3.71285i 0.627363 0.224712i
\(274\) −25.4580 4.00120i −1.53797 0.241721i
\(275\) 5.14166i 0.310054i
\(276\) −2.23771 1.32978i −0.134694 0.0800432i
\(277\) 8.41073 10.5467i 0.505352 0.633691i −0.462075 0.886841i \(-0.652895\pi\)
0.967427 + 0.253149i \(0.0814664\pi\)
\(278\) 16.4034 4.94693i 0.983811 0.296697i
\(279\) −1.32320 + 0.637218i −0.0792177 + 0.0381492i
\(280\) −24.8154 15.9946i −1.48300 0.955862i
\(281\) 2.69279 + 1.29678i 0.160638 + 0.0773594i 0.512475 0.858702i \(-0.328729\pi\)
−0.351837 + 0.936061i \(0.614443\pi\)
\(282\) 11.3056 + 1.77688i 0.673237 + 0.105812i
\(283\) −11.1751 5.38163i −0.664289 0.319905i 0.0711795 0.997464i \(-0.477324\pi\)
−0.735469 + 0.677559i \(0.763038\pi\)
\(284\) 5.53972 5.82168i 0.328722 0.345453i
\(285\) −2.16106 4.48749i −0.128010 0.265816i
\(286\) −2.11190 + 1.93497i −0.124879 + 0.114417i
\(287\) −1.49657 + 1.51873i −0.0883399 + 0.0896479i
\(288\) 4.02365 + 3.97621i 0.237096 + 0.234300i
\(289\) 1.69099 + 7.40869i 0.0994697 + 0.435805i
\(290\) 31.9775 + 12.7831i 1.87778 + 0.750648i
\(291\) −3.50502 + 0.799997i −0.205468 + 0.0468967i
\(292\) −16.1991 24.4144i −0.947978 1.42874i
\(293\) 6.94236i 0.405577i −0.979223 0.202788i \(-0.935000\pi\)
0.979223 0.202788i \(-0.0650003\pi\)
\(294\) 1.39313 9.80098i 0.0812490 0.571605i
\(295\) 4.37815i 0.254906i
\(296\) 24.0770 + 12.1601i 1.39945 + 0.706794i
\(297\) −0.474475 + 0.108296i −0.0275319 + 0.00628397i
\(298\) −3.75849 + 9.40204i −0.217723 + 0.544645i
\(299\) −1.20526 5.28058i −0.0697018 0.305384i
\(300\) −15.3070 14.5656i −0.883750 0.840948i
\(301\) −25.4430 + 9.11329i −1.46651 + 0.525281i
\(302\) −17.5659 19.1722i −1.01080 1.10323i
\(303\) −4.09530 8.50399i −0.235269 0.488541i
\(304\) 4.86147 1.36654i 0.278824 0.0783762i
\(305\) −20.5829 9.91219i −1.17857 0.567570i
\(306\) −1.08904 + 6.92910i −0.0622562 + 0.396110i
\(307\) −9.88187 4.75886i −0.563988 0.271602i 0.130090 0.991502i \(-0.458473\pi\)
−0.694078 + 0.719900i \(0.744188\pi\)
\(308\) 0.653484 + 2.49096i 0.0372357 + 0.141936i
\(309\) −12.6808 + 6.10674i −0.721384 + 0.347400i
\(310\) 2.36593 + 7.84511i 0.134376 + 0.445572i
\(311\) −4.50930 + 5.65449i −0.255699 + 0.320637i −0.893068 0.449923i \(-0.851452\pi\)
0.637368 + 0.770559i \(0.280023\pi\)
\(312\) −0.222239 + 11.7688i −0.0125818 + 0.666275i
\(313\) 7.77323i 0.439369i 0.975571 + 0.219684i \(0.0705028\pi\)
−0.975571 + 0.219684i \(0.929497\pi\)
\(314\) −0.506582 + 3.22317i −0.0285881 + 0.181894i
\(315\) 3.37499 9.87741i 0.190159 0.556529i
\(316\) 4.72505 + 34.2704i 0.265805 + 1.92786i
\(317\) 7.45847 + 9.35262i 0.418909 + 0.525296i 0.945849 0.324607i \(-0.105232\pi\)
−0.526940 + 0.849903i \(0.676661\pi\)
\(318\) 7.50310 + 5.18500i 0.420753 + 0.290760i
\(319\) −1.30336 2.70645i −0.0729740 0.151532i
\(320\) 25.4014 18.7328i 1.41998 1.04720i
\(321\) 13.5166 10.7791i 0.754420 0.601630i
\(322\) −4.70518 1.25543i −0.262209 0.0699624i
\(323\) 4.89548 + 3.90401i 0.272392 + 0.217225i
\(324\) −1.02172 + 1.71933i −0.0567624 + 0.0955181i
\(325\) 43.9668i 2.43884i
\(326\) −4.53942 + 28.8824i −0.251415 + 1.59965i
\(327\) 0.396050 1.73521i 0.0219016 0.0959573i
\(328\) −0.950052 2.07199i −0.0524578 0.114407i
\(329\) 21.2576 2.55349i 1.17197 0.140778i
\(330\) 0.185873 + 2.70900i 0.0102320 + 0.149125i
\(331\) 14.2131 + 11.3346i 0.781222 + 0.623004i 0.930709 0.365760i \(-0.119191\pi\)
−0.149487 + 0.988764i \(0.547762\pi\)
\(332\) 9.16528 6.08121i 0.503010 0.333750i
\(333\) −2.12209 + 9.29749i −0.116290 + 0.509499i
\(334\) −11.1561 7.70936i −0.610432 0.421838i
\(335\) −5.06177 22.1771i −0.276554 1.21166i
\(336\) 9.26696 + 5.11111i 0.505554 + 0.278834i
\(337\) −6.91159 + 30.2816i −0.376498 + 1.64955i 0.331591 + 0.943423i \(0.392415\pi\)
−0.708089 + 0.706123i \(0.750443\pi\)
\(338\) −4.50366 + 4.12634i −0.244967 + 0.224443i
\(339\) 9.47945 + 11.8869i 0.514853 + 0.645605i
\(340\) 37.2480 + 12.0050i 2.02005 + 0.651061i
\(341\) 0.310119 0.643970i 0.0167939 0.0348729i
\(342\) 0.882952 + 1.55179i 0.0477446 + 0.0839113i
\(343\) −2.47881 18.3536i −0.133843 0.991003i
\(344\) 0.545490 28.8867i 0.0294109 1.55747i
\(345\) −4.62624 2.22788i −0.249068 0.119945i
\(346\) −18.1627 19.8235i −0.976432 1.06572i
\(347\) −22.8895 + 18.2538i −1.22877 + 0.979914i −0.228794 + 0.973475i \(0.573478\pi\)
−0.999979 + 0.00643910i \(0.997950\pi\)
\(348\) −11.7495 3.78685i −0.629839 0.202996i
\(349\) 1.49584 + 0.341417i 0.0800707 + 0.0182756i 0.262369 0.964968i \(-0.415496\pi\)
−0.182298 + 0.983243i \(0.558354\pi\)
\(350\) −34.9685 18.4342i −1.86915 0.985351i
\(351\) −4.05728 + 0.926049i −0.216562 + 0.0494288i
\(352\) −2.73753 0.292015i −0.145911 0.0155645i
\(353\) −32.2813 7.36800i −1.71816 0.392159i −0.753874 0.657020i \(-0.771817\pi\)
−0.964287 + 0.264861i \(0.914674\pi\)
\(354\) 0.107429 + 1.56572i 0.00570980 + 0.0832171i
\(355\) 9.88376 12.3938i 0.524576 0.657797i
\(356\) 15.7850 + 23.7903i 0.836604 + 1.26088i
\(357\) 1.56502 + 13.0286i 0.0828294 + 0.689548i
\(358\) 2.44080 3.53203i 0.129000 0.186673i
\(359\) 13.4995 + 3.08118i 0.712477 + 0.162618i 0.563372 0.826203i \(-0.309504\pi\)
0.149105 + 0.988821i \(0.452361\pi\)
\(360\) 8.59138 + 7.12087i 0.452805 + 0.375303i
\(361\) −17.4062 −0.916114
\(362\) −17.2680 + 9.82530i −0.907586 + 0.516406i
\(363\) −6.71071 + 8.41497i −0.352221 + 0.441671i
\(364\) 5.58800 + 21.3005i 0.292891 + 1.11645i
\(365\) −36.0358 45.1875i −1.88620 2.36522i
\(366\) 7.60409 + 3.03975i 0.397472 + 0.158890i
\(367\) −24.4659 + 11.7821i −1.27711 + 0.615023i −0.944645 0.328093i \(-0.893594\pi\)
−0.332463 + 0.943116i \(0.607880\pi\)
\(368\) 3.04000 4.22623i 0.158471 0.220307i
\(369\) 0.630075 0.502468i 0.0328004 0.0261574i
\(370\) 49.4070 + 19.7506i 2.56855 + 1.02678i
\(371\) 16.1461 + 5.51692i 0.838263 + 0.286424i
\(372\) −1.03860 2.74752i −0.0538491 0.142452i
\(373\) 8.11851 0.420361 0.210180 0.977663i \(-0.432595\pi\)
0.210180 + 0.977663i \(0.432595\pi\)
\(374\) −1.68818 2.96698i −0.0872935 0.153419i
\(375\) −17.1647 13.6884i −0.886382 0.706866i
\(376\) −5.51362 + 22.2147i −0.284343 + 1.14564i
\(377\) −11.1451 23.1431i −0.574004 1.19193i
\(378\) −0.964599 + 3.61518i −0.0496136 + 0.185945i
\(379\) 1.47164 3.05588i 0.0755928 0.156970i −0.859747 0.510719i \(-0.829379\pi\)
0.935340 + 0.353749i \(0.115093\pi\)
\(380\) 9.31794 3.52232i 0.478000 0.180691i
\(381\) −1.49548 + 3.10540i −0.0766157 + 0.159094i
\(382\) 5.36502 + 17.7897i 0.274498 + 0.910201i
\(383\) 2.98516 1.43758i 0.152534 0.0734567i −0.356059 0.934463i \(-0.615880\pi\)
0.508594 + 0.861007i \(0.330166\pi\)
\(384\) −8.62441 + 7.32254i −0.440112 + 0.373677i
\(385\) 1.71300 + 4.78245i 0.0873027 + 0.243736i
\(386\) 7.40584 2.23345i 0.376948 0.113680i
\(387\) 9.95871 2.27301i 0.506230 0.115544i
\(388\) −0.982079 7.12293i −0.0498575 0.361612i
\(389\) −3.05499 13.3848i −0.154894 0.678636i −0.991421 0.130710i \(-0.958274\pi\)
0.836526 0.547927i \(-0.184583\pi\)
\(390\) 1.58942 + 23.1649i 0.0804834 + 1.17300i
\(391\) 6.45515 0.326451
\(392\) 19.2840 + 4.48641i 0.973988 + 0.226598i
\(393\) −0.988893 −0.0498831
\(394\) 0.524734 + 7.64770i 0.0264357 + 0.385286i
\(395\) 15.1852 + 66.5307i 0.764051 + 3.34752i
\(396\) −0.132944 0.964233i −0.00668071 0.0484545i
\(397\) −13.8667 + 3.16498i −0.695949 + 0.158846i −0.555839 0.831290i \(-0.687603\pi\)
−0.140110 + 0.990136i \(0.544746\pi\)
\(398\) 25.5307 7.69955i 1.27974 0.385943i
\(399\) 2.37916 + 2.34445i 0.119107 + 0.117369i
\(400\) 31.6920 27.9547i 1.58460 1.39774i
\(401\) −1.13160 + 0.544952i −0.0565096 + 0.0272136i −0.461925 0.886919i \(-0.652841\pi\)
0.405416 + 0.914133i \(0.367127\pi\)
\(402\) 2.35437 + 7.80678i 0.117425 + 0.389367i
\(403\) 2.65186 5.50665i 0.132099 0.274306i
\(404\) 17.6579 6.67496i 0.878514 0.332092i
\(405\) −1.71177 + 3.55453i −0.0850585 + 0.176626i
\(406\) −23.0795 0.839194i −1.14542 0.0416485i
\(407\) −2.01376 4.18162i −0.0998184 0.207275i
\(408\) −13.6152 3.37926i −0.674054 0.167298i
\(409\) 3.43363 + 2.73823i 0.169782 + 0.135397i 0.704695 0.709511i \(-0.251084\pi\)
−0.534912 + 0.844908i \(0.679655\pi\)
\(410\) −2.22365 3.90808i −0.109818 0.193006i
\(411\) 18.2225 0.898849
\(412\) −9.95341 26.3307i −0.490369 1.29722i
\(413\) 0.990065 + 2.76412i 0.0487179 + 0.136013i
\(414\) 1.70911 + 0.683219i 0.0839980 + 0.0335784i
\(415\) 16.9636 13.5280i 0.832711 0.664065i
\(416\) −23.4089 2.49705i −1.14772 0.122428i
\(417\) −10.9152 + 5.25648i −0.534519 + 0.257411i
\(418\) −0.806837 0.322535i −0.0394637 0.0157757i
\(419\) 10.1665 + 12.7483i 0.496664 + 0.622797i 0.965473 0.260502i \(-0.0838882\pi\)
−0.468809 + 0.883300i \(0.655317\pi\)
\(420\) 19.0903 + 8.44835i 0.931512 + 0.412237i
\(421\) −3.44855 + 4.32435i −0.168072 + 0.210756i −0.858733 0.512423i \(-0.828748\pi\)
0.690661 + 0.723178i \(0.257320\pi\)
\(422\) 28.5196 16.2273i 1.38831 0.789935i
\(423\) −8.09238 −0.393465
\(424\) −11.6401 + 14.0439i −0.565294 + 0.682031i
\(425\) 51.0852 + 11.6599i 2.47800 + 0.565587i
\(426\) −3.23053 + 4.67482i −0.156519 + 0.226496i
\(427\) 15.2364 + 1.60343i 0.737340 + 0.0775954i
\(428\) 19.1166 + 28.8115i 0.924034 + 1.39265i
\(429\) 1.26280 1.58350i 0.0609684 0.0764520i
\(430\) −3.90127 56.8588i −0.188136 2.74197i
\(431\) −26.8429 6.12673i −1.29298 0.295114i −0.479929 0.877307i \(-0.659338\pi\)
−0.813050 + 0.582193i \(0.802195\pi\)
\(432\) −3.24719 2.33576i −0.156230 0.112379i
\(433\) 9.19233 2.09809i 0.441755 0.100828i 0.00414277 0.999991i \(-0.498681\pi\)
0.437613 + 0.899164i \(0.355824\pi\)
\(434\) −3.26778 4.41793i −0.156859 0.212067i
\(435\) −23.7407 5.41866i −1.13828 0.259805i
\(436\) 3.38804 + 1.09196i 0.162258 + 0.0522956i
\(437\) 1.28464 1.02446i 0.0614525 0.0490067i
\(438\) 13.9959 + 15.2758i 0.668752 + 0.729904i
\(439\) −21.0168 10.1212i −1.00308 0.483057i −0.141096 0.989996i \(-0.545063\pi\)
−0.861982 + 0.506939i \(0.830777\pi\)
\(440\) −5.42976 0.102534i −0.258854 0.00488814i
\(441\) 0.102878 + 6.99924i 0.00489897 + 0.333297i
\(442\) −14.4358 25.3709i −0.686639 1.20677i
\(443\) 9.55931 19.8501i 0.454176 0.943107i −0.540624 0.841264i \(-0.681812\pi\)
0.994801 0.101843i \(-0.0324738\pi\)
\(444\) −18.1536 5.85089i −0.861532 0.277671i
\(445\) 35.1147 + 44.0324i 1.66460 + 2.08734i
\(446\) −16.3517 + 14.9817i −0.774275 + 0.709406i
\(447\) 1.59320 6.98026i 0.0753557 0.330155i
\(448\) −11.8008 + 17.5710i −0.557535 + 0.830154i
\(449\) 9.07246 + 39.7490i 0.428156 + 1.87587i 0.480085 + 0.877222i \(0.340606\pi\)
−0.0519288 + 0.998651i \(0.516537\pi\)
\(450\) 12.2915 + 8.49405i 0.579429 + 0.400413i
\(451\) −0.0872752 + 0.382378i −0.00410963 + 0.0180055i
\(452\) −25.3377 + 16.8117i −1.19178 + 0.790755i
\(453\) 14.3752 + 11.4638i 0.675406 + 0.538619i
\(454\) 0.514405 + 7.49715i 0.0241422 + 0.351859i
\(455\) 14.6481 + 40.8952i 0.686711 + 1.91720i
\(456\) −3.24586 + 1.48830i −0.152001 + 0.0696959i
\(457\) 5.51778 24.1750i 0.258111 1.13086i −0.665158 0.746703i \(-0.731636\pi\)
0.923269 0.384155i \(-0.125507\pi\)
\(458\) 4.80976 30.6025i 0.224746 1.42996i
\(459\) 4.95976i 0.231502i
\(460\) 5.24627 8.82828i 0.244609 0.411621i
\(461\) 22.7659 + 18.1552i 1.06031 + 0.845572i 0.988405 0.151840i \(-0.0485197\pi\)
0.0719082 + 0.997411i \(0.477091\pi\)
\(462\) −0.729956 1.66827i −0.0339606 0.0776151i
\(463\) −16.0344 + 12.7870i −0.745180 + 0.594262i −0.920726 0.390210i \(-0.872402\pi\)
0.175546 + 0.984471i \(0.443831\pi\)
\(464\) 9.59570 22.7483i 0.445469 1.05606i
\(465\) −2.51397 5.22031i −0.116583 0.242086i
\(466\) −4.37113 3.02066i −0.202489 0.139929i
\(467\) 1.47883 + 1.85440i 0.0684323 + 0.0858113i 0.814869 0.579645i \(-0.196809\pi\)
−0.746437 + 0.665456i \(0.768237\pi\)
\(468\) −1.13682 8.24525i −0.0525495 0.381137i
\(469\) 8.21078 + 12.8567i 0.379138 + 0.593666i
\(470\) −7.01020 + 44.6030i −0.323357 + 2.05738i
\(471\) 2.30711i 0.106306i
\(472\) −3.13824 0.0592619i −0.144449 0.00272775i
\(473\) −3.09957 + 3.88673i −0.142518 + 0.178712i
\(474\) −7.06305 23.4202i −0.324417 1.07572i
\(475\) 12.0169 5.78705i 0.551374 0.265528i
\(476\) −26.2310 + 0.843905i −1.20230 + 0.0386803i
\(477\) −5.81040 2.79814i −0.266040 0.128118i
\(478\) −1.56024 + 9.92717i −0.0713638 + 0.454058i
\(479\) 4.95680 + 2.38707i 0.226482 + 0.109068i 0.543684 0.839290i \(-0.317029\pi\)
−0.317202 + 0.948358i \(0.602743\pi\)
\(480\) −15.6870 + 15.8742i −0.716012 + 0.724556i
\(481\) −17.2199 35.7574i −0.785158 1.63040i
\(482\) −7.76031 8.46992i −0.353472 0.385794i
\(483\) 3.42455 + 0.360389i 0.155822 + 0.0163983i
\(484\) −15.5943 14.8391i −0.708834 0.674503i
\(485\) −3.15617 13.8281i −0.143314 0.627901i
\(486\) 0.524946 1.31318i 0.0238120 0.0595669i
\(487\) −9.95959 + 2.27321i −0.451312 + 0.103009i −0.442134 0.896949i \(-0.645779\pi\)
−0.00917788 + 0.999958i \(0.502921\pi\)
\(488\) −7.38362 + 14.6195i −0.334241 + 0.661796i
\(489\) 20.6737i 0.934896i
\(490\) 38.6671 + 5.49621i 1.74680 + 0.248294i
\(491\) 27.1990i 1.22747i 0.789510 + 0.613737i \(0.210335\pi\)
−0.789510 + 0.613737i \(0.789665\pi\)
\(492\) 0.891120 + 1.34305i 0.0401748 + 0.0605493i
\(493\) 29.8457 6.81209i 1.34418 0.306801i
\(494\) −6.89934 2.75803i −0.310416 0.124089i
\(495\) −0.427252 1.87191i −0.0192036 0.0841363i
\(496\) 5.65537 1.58970i 0.253933 0.0713795i
\(497\) −3.43733 + 10.0599i −0.154185 + 0.451246i
\(498\) −5.73460 + 5.25415i −0.256973 + 0.235444i
\(499\) 17.7260 + 36.8083i 0.793523 + 1.64777i 0.761399 + 0.648283i \(0.224513\pi\)
0.0321234 + 0.999484i \(0.489773\pi\)
\(500\) 30.2685 31.8091i 1.35365 1.42255i
\(501\) 8.63925 + 4.16044i 0.385973 + 0.185875i
\(502\) −2.82192 0.443518i −0.125948 0.0197952i
\(503\) 16.8855 + 8.13161i 0.752885 + 0.362570i 0.770639 0.637272i \(-0.219937\pi\)
−0.0177537 + 0.999842i \(0.505651\pi\)
\(504\) −7.03440 2.55288i −0.313337 0.113714i
\(505\) 33.5502 16.1569i 1.49296 0.718973i
\(506\) −0.857629 + 0.258644i −0.0381263 + 0.0114981i
\(507\) 2.69293 3.37682i 0.119597 0.149970i
\(508\) −5.92605 3.52160i −0.262926 0.156246i
\(509\) 12.8302i 0.568688i −0.958722 0.284344i \(-0.908224\pi\)
0.958722 0.284344i \(-0.0917757\pi\)
\(510\) −27.3369 4.29650i −1.21050 0.190252i
\(511\) 32.9695 + 20.3797i 1.45849 + 0.901546i
\(512\) −13.0838 18.4612i −0.578227 0.815876i
\(513\) −0.787138 0.987039i −0.0347530 0.0435788i
\(514\) −5.67279 + 8.20897i −0.250216 + 0.362082i
\(515\) −24.0925 50.0285i −1.06164 2.20452i
\(516\) 2.79035 + 20.2382i 0.122838 + 0.890936i
\(517\) 3.07915 2.45554i 0.135421 0.107994i
\(518\) −35.6591 1.29660i −1.56677 0.0569694i
\(519\) 14.8636 + 11.8533i 0.652439 + 0.520303i
\(520\) −46.4304 0.876782i −2.03611 0.0384494i
\(521\) 21.6112i 0.946802i 0.880847 + 0.473401i \(0.156974\pi\)
−0.880847 + 0.473401i \(0.843026\pi\)
\(522\) 8.62314 + 1.35529i 0.377424 + 0.0593193i
\(523\) −2.90380 + 12.7224i −0.126974 + 0.556310i 0.870919 + 0.491427i \(0.163525\pi\)
−0.997893 + 0.0648831i \(0.979333\pi\)
\(524\) 0.172614 1.97024i 0.00754067 0.0860703i
\(525\) 26.4505 + 9.03780i 1.15439 + 0.394442i
\(526\) 34.8352 2.39016i 1.51889 0.104216i
\(527\) 5.69493 + 4.54155i 0.248075 + 0.197833i
\(528\) 1.94431 0.0965648i 0.0846154 0.00420244i
\(529\) −4.74105 + 20.7719i −0.206133 + 0.903126i
\(530\) −20.4560 + 29.6014i −0.888552 + 1.28580i
\(531\) −0.246939 1.08191i −0.0107162 0.0469509i
\(532\) −5.08629 + 4.33093i −0.220519 + 0.187770i
\(533\) −0.746299 + 3.26975i −0.0323258 + 0.141629i
\(534\) −13.6382 14.8853i −0.590183 0.644150i
\(535\) 42.5260 + 53.3259i 1.83856 + 2.30548i
\(536\) −15.9649 + 3.32807i −0.689580 + 0.143751i
\(537\) −1.31720 + 2.73520i −0.0568416 + 0.118033i
\(538\) 9.59142 5.45741i 0.413515 0.235286i
\(539\) −2.16299 2.63199i −0.0931664 0.113368i
\(540\) −6.78313 4.03093i −0.291900 0.173464i
\(541\) −10.6254 5.11694i −0.456823 0.219994i 0.191298 0.981532i \(-0.438730\pi\)
−0.648121 + 0.761538i \(0.724445\pi\)
\(542\) −27.4318 + 25.1336i −1.17830 + 1.07958i
\(543\) 10.9836 8.75909i 0.471349 0.375889i
\(544\) 9.10930 26.5367i 0.390558 1.13775i
\(545\) 6.84580 + 1.56251i 0.293242 + 0.0669305i
\(546\) −6.24192 14.2656i −0.267130 0.610509i
\(547\) −4.06595 + 0.928027i −0.173848 + 0.0396796i −0.308558 0.951205i \(-0.599847\pi\)
0.134711 + 0.990885i \(0.456989\pi\)
\(548\) −3.18078 + 36.3059i −0.135876 + 1.55091i
\(549\) −5.64542 1.28853i −0.240941 0.0549932i
\(550\) −7.25435 + 0.497745i −0.309327 + 0.0212239i
\(551\) 4.85847 6.09233i 0.206978 0.259542i
\(552\) −1.65955 + 3.28591i −0.0706353 + 0.139858i
\(553\) −24.6322 38.5698i −1.04747 1.64015i
\(554\) −15.6946 10.8457i −0.666798 0.460789i
\(555\) −36.6807 8.37213i −1.55701 0.355377i
\(556\) −8.56757 22.6646i −0.363346 0.961194i
\(557\) −4.99764 −0.211757 −0.105878 0.994379i \(-0.533765\pi\)
−0.105878 + 0.994379i \(0.533765\pi\)
\(558\) 1.02714 + 1.80521i 0.0434824 + 0.0764205i
\(559\) −26.5047 + 33.2358i −1.12103 + 1.40573i
\(560\) −20.1645 + 36.5603i −0.852105 + 1.54495i
\(561\) 1.50498 + 1.88719i 0.0635404 + 0.0796771i
\(562\) 1.56894 3.92479i 0.0661819 0.165557i
\(563\) 23.1339 11.1407i 0.974980 0.469525i 0.122604 0.992456i \(-0.460875\pi\)
0.852376 + 0.522930i \(0.175161\pi\)
\(564\) 1.41255 16.1230i 0.0594789 0.678901i
\(565\) −46.8964 + 37.3986i −1.97294 + 1.57337i
\(566\) −6.51111 + 16.2878i −0.273682 + 0.684629i
\(567\) 0.276902 2.63122i 0.0116288 0.110501i
\(568\) −8.75007 7.25240i −0.367145 0.304304i
\(569\) 41.5754 1.74293 0.871465 0.490458i \(-0.163170\pi\)
0.871465 + 0.490458i \(0.163170\pi\)
\(570\) −6.12217 + 3.48345i −0.256430 + 0.145906i
\(571\) 21.8240 + 17.4040i 0.913305 + 0.728337i 0.962737 0.270441i \(-0.0871694\pi\)
−0.0494312 + 0.998778i \(0.515741\pi\)
\(572\) 2.93449 + 2.79236i 0.122697 + 0.116754i
\(573\) −5.70072 11.8377i −0.238151 0.494526i
\(574\) 2.28765 + 1.96449i 0.0954847 + 0.0819961i
\(575\) 5.96598 12.3885i 0.248798 0.516635i
\(576\) 5.22050 6.06188i 0.217521 0.252578i
\(577\) −10.9482 + 22.7343i −0.455781 + 0.946439i 0.538796 + 0.842436i \(0.318879\pi\)
−0.994577 + 0.104003i \(0.966835\pi\)
\(578\) 10.2892 3.10301i 0.427974 0.129068i
\(579\) −4.92801 + 2.37321i −0.204801 + 0.0986271i
\(580\) 14.9400 46.3544i 0.620349 1.92476i
\(581\) −7.65066 + 12.3769i −0.317403 + 0.513482i
\(582\) 1.46802 + 4.86777i 0.0608514 + 0.201776i
\(583\) 3.05992 0.698407i 0.126729 0.0289251i
\(584\) −32.8780 + 25.2187i −1.36050 + 1.04356i
\(585\) −3.65347 16.0069i −0.151053 0.661804i
\(586\) −9.79494 + 0.672064i −0.404625 + 0.0277627i
\(587\) −39.8734 −1.64575 −0.822875 0.568223i \(-0.807631\pi\)
−0.822875 + 0.568223i \(0.807631\pi\)
\(588\) −13.9630 1.01676i −0.575826 0.0419307i
\(589\) 1.85411 0.0763973
\(590\) −6.17712 + 0.423833i −0.254308 + 0.0174489i
\(591\) −1.20616 5.28455i −0.0496150 0.217378i
\(592\) 14.8259 35.1474i 0.609340 1.44455i
\(593\) 7.31927 1.67058i 0.300566 0.0686023i −0.0695781 0.997577i \(-0.522165\pi\)
0.370144 + 0.928974i \(0.379308\pi\)
\(594\) 0.198727 + 0.658952i 0.00815385 + 0.0270371i
\(595\) −51.4009 + 6.17434i −2.10723 + 0.253123i
\(596\) 13.6291 + 4.39266i 0.558271 + 0.179930i
\(597\) −16.9887 + 8.18133i −0.695301 + 0.334840i
\(598\) −7.33367 + 2.21169i −0.299896 + 0.0904426i
\(599\) 6.77195 14.0621i 0.276694 0.574562i −0.715593 0.698517i \(-0.753844\pi\)
0.992288 + 0.123955i \(0.0395579\pi\)
\(600\) −19.0688 + 23.0066i −0.778480 + 0.939242i
\(601\) 5.39703 11.2070i 0.220149 0.457145i −0.761418 0.648261i \(-0.775496\pi\)
0.981567 + 0.191116i \(0.0612107\pi\)
\(602\) 15.3210 + 35.0152i 0.624435 + 1.42711i
\(603\) −2.50168 5.19480i −0.101876 0.211549i
\(604\) −25.3494 + 26.6397i −1.03145 + 1.08395i
\(605\) −33.1990 26.4753i −1.34973 1.07637i
\(606\) −11.6018 + 6.60129i −0.471291 + 0.268159i
\(607\) 3.42482 0.139009 0.0695047 0.997582i \(-0.477858\pi\)
0.0695047 + 0.997582i \(0.477858\pi\)
\(608\) −2.39866 6.72674i −0.0972786 0.272805i
\(609\) 16.2139 1.94763i 0.657020 0.0789221i
\(610\) −11.9925 + 29.9999i −0.485563 + 1.21466i
\(611\) 26.3301 20.9975i 1.06520 0.849470i
\(612\) 9.88167 + 0.865739i 0.399443 + 0.0349954i
\(613\) −4.55139 + 2.19183i −0.183829 + 0.0885274i −0.523534 0.852004i \(-0.675387\pi\)
0.339706 + 0.940532i \(0.389673\pi\)
\(614\) −5.75763 + 14.4030i −0.232359 + 0.581257i
\(615\) 1.98235 + 2.48579i 0.0799361 + 0.100237i
\(616\) 3.45123 1.16314i 0.139054 0.0468642i
\(617\) 1.35133 1.69452i 0.0544025 0.0682186i −0.753886 0.657005i \(-0.771823\pi\)
0.808288 + 0.588787i \(0.200394\pi\)
\(618\) 9.84355 + 17.3001i 0.395966 + 0.695912i
\(619\) −45.4088 −1.82513 −0.912566 0.408930i \(-0.865902\pi\)
−0.912566 + 0.408930i \(0.865902\pi\)
\(620\) 10.8396 4.09753i 0.435329 0.164561i
\(621\) −1.26887 0.289612i −0.0509181 0.0116217i
\(622\) 8.41443 + 5.81477i 0.337388 + 0.233151i
\(623\) −32.1268 19.8588i −1.28713 0.795627i
\(624\) 16.6260 0.825734i 0.665573 0.0330558i
\(625\) 21.0686 26.4192i 0.842743 1.05677i
\(626\) 10.9672 0.752498i 0.438338 0.0300759i
\(627\) 0.599011 + 0.136720i 0.0239222 + 0.00546009i
\(628\) 4.59660 + 0.402711i 0.183424 + 0.0160699i
\(629\) 46.1133 10.5251i 1.83866 0.419662i
\(630\) −14.2627 3.80556i −0.568240 0.151617i
\(631\) 22.9974 + 5.24901i 0.915512 + 0.208960i 0.654224 0.756301i \(-0.272995\pi\)
0.261288 + 0.965261i \(0.415853\pi\)
\(632\) 47.8945 9.98415i 1.90514 0.397148i
\(633\) −18.1403 + 14.4664i −0.721012 + 0.574988i
\(634\) 12.4736 11.4285i 0.495388 0.453885i
\(635\) −12.2515 5.90001i −0.486186 0.234135i
\(636\) 6.58915 11.0880i 0.261277 0.439669i
\(637\) −18.4959 22.5064i −0.732834 0.891737i
\(638\) −3.69235 + 2.10090i −0.146181 + 0.0831756i
\(639\) 1.74339 3.62018i 0.0689674 0.143212i
\(640\) −28.8891 34.0253i −1.14194 1.34497i
\(641\) 9.17682 + 11.5074i 0.362463 + 0.454514i 0.929305 0.369312i \(-0.120407\pi\)
−0.566843 + 0.823826i \(0.691835\pi\)
\(642\) −16.5167 18.0270i −0.651861 0.711468i
\(643\) 4.95656 21.7161i 0.195468 0.856400i −0.778125 0.628109i \(-0.783829\pi\)
0.973593 0.228291i \(-0.0733137\pi\)
\(644\) −1.31579 + 6.76005i −0.0518495 + 0.266383i
\(645\) 8.96754 + 39.2894i 0.353097 + 1.54702i
\(646\) 5.03424 7.28494i 0.198070 0.286622i
\(647\) 9.27536 40.6380i 0.364652 1.59765i −0.376572 0.926387i \(-0.622897\pi\)
0.741224 0.671258i \(-0.234246\pi\)
\(648\) 2.52470 + 1.27510i 0.0991796 + 0.0500908i
\(649\) 0.422254 + 0.336736i 0.0165749 + 0.0132180i
\(650\) −62.0326 + 4.25627i −2.43312 + 0.166945i
\(651\) 2.76768 + 2.72730i 0.108474 + 0.106891i
\(652\) 41.1896 + 3.60865i 1.61311 + 0.141325i
\(653\) −0.444252 + 1.94640i −0.0173849 + 0.0761683i −0.982876 0.184267i \(-0.941009\pi\)
0.965491 + 0.260435i \(0.0838661\pi\)
\(654\) −2.48654 0.390807i −0.0972314 0.0152817i
\(655\) 3.90141i 0.152441i
\(656\) −2.83139 + 1.54101i −0.110547 + 0.0601662i
\(657\) −11.4537 9.13402i −0.446851 0.356352i
\(658\) −5.66058 29.7451i −0.220672 1.15958i
\(659\) 0.189703 0.151283i 0.00738980 0.00589317i −0.619788 0.784769i \(-0.712781\pi\)
0.627178 + 0.778876i \(0.284210\pi\)
\(660\) 3.80412 0.524496i 0.148075 0.0204160i
\(661\) 6.24063 + 12.9588i 0.242732 + 0.504039i 0.986370 0.164544i \(-0.0526154\pi\)
−0.743637 + 0.668583i \(0.766901\pi\)
\(662\) 14.6160 21.1505i 0.568066 0.822036i
\(663\) 12.8692 + 16.1375i 0.499800 + 0.626729i
\(664\) −9.46722 12.3426i −0.367399 0.478984i
\(665\) −9.24937 + 9.38632i −0.358675 + 0.363986i
\(666\) 13.3232 + 2.09399i 0.516264 + 0.0811407i
\(667\) 8.03332i 0.311051i
\(668\) −9.79714 + 16.4863i −0.379063 + 0.637876i
\(669\) 9.77737 12.2604i 0.378015 0.474016i
\(670\) −30.7995 + 9.28851i −1.18989 + 0.358846i
\(671\) 2.53907 1.22275i 0.0980198 0.0472039i
\(672\) 6.31414 13.5695i 0.243573 0.523455i
\(673\) −17.6721 8.51045i −0.681211 0.328054i 0.0610789 0.998133i \(-0.480546\pi\)
−0.742290 + 0.670079i \(0.766260\pi\)
\(674\) 43.3933 + 6.82008i 1.67145 + 0.262700i
\(675\) −9.51858 4.58391i −0.366370 0.176435i
\(676\) 6.25782 + 5.95474i 0.240685 + 0.229028i
\(677\) 12.5278 + 26.0143i 0.481484 + 0.999811i 0.990301 + 0.138937i \(0.0443685\pi\)
−0.508818 + 0.860874i \(0.669917\pi\)
\(678\) 15.8534 14.5252i 0.608848 0.557839i
\(679\) 5.11968 + 8.01654i 0.196475 + 0.307646i
\(680\) 13.3319 53.7152i 0.511257 2.05988i
\(681\) −1.18242 5.18052i −0.0453105 0.198518i
\(682\) −0.938596 0.375206i −0.0359407 0.0143674i
\(683\) 36.7231 8.38181i 1.40517 0.320721i 0.548313 0.836273i \(-0.315270\pi\)
0.856858 + 0.515552i \(0.172413\pi\)
\(684\) 2.10394 1.39598i 0.0804463 0.0533765i
\(685\) 71.8919i 2.74685i
\(686\) −25.6551 + 5.27409i −0.979516 + 0.201366i
\(687\) 21.9049i 0.835724i
\(688\) −40.8090 + 2.02679i −1.55583 + 0.0772705i
\(689\) 26.1657 5.97214i 0.996832 0.227520i
\(690\) −2.69546 + 6.74281i −0.102614 + 0.256694i
\(691\) 10.6364 + 46.6012i 0.404629 + 1.77279i 0.608251 + 0.793745i \(0.291871\pi\)
−0.203622 + 0.979050i \(0.565271\pi\)
\(692\) −26.2106 + 27.5447i −0.996379 + 1.04709i
\(693\) 0.693053 + 1.08520i 0.0263269 + 0.0412234i
\(694\) 27.9700 + 30.5276i 1.06173 + 1.15881i
\(695\) −20.7380 43.0629i −0.786637 1.63347i
\(696\) −4.20542 + 16.9439i −0.159406 + 0.642257i
\(697\) −3.60122 1.73426i −0.136406 0.0656896i
\(698\) 0.336896 2.14353i 0.0127517 0.0811339i
\(699\) 3.38500 + 1.63013i 0.128033 + 0.0616572i
\(700\) −22.6236 + 51.1215i −0.855092 + 1.93221i
\(701\) 15.9593 7.68557i 0.602773 0.290280i −0.107502 0.994205i \(-0.534285\pi\)
0.710275 + 0.703925i \(0.248571\pi\)
\(702\) 1.69933 + 5.63476i 0.0641371 + 0.212670i
\(703\) 7.50661 9.41299i 0.283117 0.355018i
\(704\) −0.146993 + 3.89064i −0.00553999 + 0.146634i
\(705\) 31.9263i 1.20241i
\(706\) −7.27044 + 46.2588i −0.273627 + 1.74097i
\(707\) −17.5280 + 17.7875i −0.659207 + 0.668968i
\(708\) 2.19867 0.303143i 0.0826310 0.0113928i
\(709\) −4.07602 5.11117i −0.153078 0.191954i 0.699379 0.714751i \(-0.253460\pi\)
−0.852457 + 0.522797i \(0.824889\pi\)
\(710\) −18.4432 12.7452i −0.692163 0.478317i
\(711\) 7.50501 + 15.5843i 0.281460 + 0.584457i
\(712\) 32.0376 24.5741i 1.20066 0.920952i
\(713\) 1.49442 1.19176i 0.0559666 0.0446318i
\(714\) 18.2305 3.46933i 0.682261 0.129836i
\(715\) 6.24726 + 4.98202i 0.233634 + 0.186317i
\(716\) −5.21961 3.10179i −0.195066 0.115919i
\(717\) 7.10574i 0.265369i
\(718\) 3.04038 19.3447i 0.113466 0.721938i
\(719\) −3.52189 + 15.4304i −0.131344 + 0.575458i 0.865830 + 0.500338i \(0.166791\pi\)
−0.997175 + 0.0751195i \(0.976066\pi\)
\(720\) 9.21511 12.8109i 0.343427 0.477434i
\(721\) 26.5239 + 26.1370i 0.987803 + 0.973391i
\(722\) 1.68503 + 24.5583i 0.0627102 + 0.913965i
\(723\) 6.35072 + 5.06453i 0.236186 + 0.188352i
\(724\) 15.5341 + 23.4122i 0.577321 + 0.870108i
\(725\) 14.5105 63.5746i 0.538906 2.36110i
\(726\) 12.5223 + 8.65350i 0.464746 + 0.321161i
\(727\) −4.18546 18.3377i −0.155230 0.680108i −0.991315 0.131508i \(-0.958018\pi\)
0.836085 0.548600i \(-0.184839\pi\)
\(728\) 29.5118 9.94611i 1.09378 0.368627i
\(729\) −0.222521 + 0.974928i −0.00824152 + 0.0361084i
\(730\) −60.2663 + 55.2172i −2.23056 + 2.04368i
\(731\) −31.5879 39.6100i −1.16832 1.46503i
\(732\) 3.55265 11.0228i 0.131310 0.407416i
\(733\) −3.82154 + 7.93551i −0.141152 + 0.293105i −0.959546 0.281553i \(-0.909150\pi\)
0.818394 + 0.574658i \(0.194865\pi\)
\(734\) 18.9918 + 33.3782i 0.701002 + 1.23201i
\(735\) −27.6136 + 0.405879i −1.01854 + 0.0149711i
\(736\) −6.25706 3.88001i −0.230638 0.143019i
\(737\) 2.52819 + 1.21751i 0.0931272 + 0.0448477i
\(738\) −0.769925 0.840328i −0.0283413 0.0309329i
\(739\) 8.42770 6.72086i 0.310018 0.247231i −0.456104 0.889927i \(-0.650755\pi\)
0.766122 + 0.642696i \(0.222184\pi\)
\(740\) 23.0831 71.6201i 0.848551 2.63281i
\(741\) 5.12220 + 1.16911i 0.188169 + 0.0429483i
\(742\) 6.22076 23.3145i 0.228371 0.855903i
\(743\) −36.8536 + 8.41160i −1.35203 + 0.308592i −0.836352 0.548192i \(-0.815316\pi\)
−0.515676 + 0.856784i \(0.672459\pi\)
\(744\) −3.77592 + 1.73134i −0.138432 + 0.0634740i
\(745\) 27.5387 + 6.28553i 1.00894 + 0.230284i
\(746\) −0.785923 11.4544i −0.0287747 0.419375i
\(747\) 3.42896 4.29978i 0.125459 0.157321i
\(748\) −4.02267 + 2.66906i −0.147083 + 0.0975907i
\(749\) −38.9075 24.0502i −1.42165 0.878775i
\(750\) −17.6513 + 25.5428i −0.644533 + 0.932690i
\(751\) −5.22211 1.19191i −0.190558 0.0434935i 0.126177 0.992008i \(-0.459729\pi\)
−0.316735 + 0.948514i \(0.602586\pi\)
\(752\) 31.8764 + 5.62862i 1.16241 + 0.205255i
\(753\) 2.01989 0.0736090
\(754\) −31.5736 + 17.9650i −1.14984 + 0.654248i
\(755\) −45.2275 + 56.7135i −1.64600 + 2.06401i
\(756\) 5.19403 + 1.01098i 0.188905 + 0.0367689i
\(757\) −11.6979 14.6687i −0.425167 0.533143i 0.522400 0.852701i \(-0.325037\pi\)
−0.947567 + 0.319558i \(0.896465\pi\)
\(758\) −4.45400 1.78050i −0.161776 0.0646705i
\(759\) 0.570686 0.274828i 0.0207146 0.00997561i
\(760\) −5.87167 12.8057i −0.212988 0.464510i
\(761\) −32.3377 + 25.7884i −1.17224 + 0.934830i −0.998749 0.0500060i \(-0.984076\pi\)
−0.173490 + 0.984836i \(0.555505\pi\)
\(762\) 4.52616 + 1.80934i 0.163966 + 0.0655457i
\(763\) −4.67539 + 0.561613i −0.169260 + 0.0203318i
\(764\) 24.5801 9.29164i 0.889276 0.336160i
\(765\) 19.5674 0.707460
\(766\) −2.31725 4.07258i −0.0837258 0.147148i
\(767\) 3.61073 + 2.87946i 0.130376 + 0.103971i
\(768\) 11.1662 + 11.4593i 0.402927 + 0.413501i
\(769\) −19.7651 41.0426i −0.712746 1.48003i −0.870300 0.492523i \(-0.836075\pi\)
0.157553 0.987511i \(-0.449639\pi\)
\(770\) 6.58172 2.87984i 0.237189 0.103782i
\(771\) 3.06138 6.35702i 0.110253 0.228943i
\(772\) −3.86810 10.2327i −0.139216 0.368282i
\(773\) 14.5155 30.1418i 0.522087 1.08413i −0.458618