Properties

Label 588.2.x.b.223.14
Level $588$
Weight $2$
Character 588.223
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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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 223.14
Character \(\chi\) \(=\) 588.223
Dual form 588.2.x.b.559.14

$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

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

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 −0.755274 0.655409i \(-0.772496\pi\)
−0.964850 + 0.262802i \(0.915353\pi\)
\(6\) 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 0.930374 0.366611i \(-0.119482\pi\)
−0.866707 + 0.498818i \(0.833768\pi\)
\(12\) −0.707190 + 1.87080i −0.204148 + 0.540053i
\(13\) 1.80566 + 3.74949i 0.500800 + 1.03992i 0.986189 + 0.165624i \(0.0529638\pi\)
−0.485389 + 0.874299i \(0.661322\pi\)
\(14\) −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 −0.0278684 0.999612i \(-0.508872\pi\)
0.968348 + 0.249604i \(0.0803005\pi\)
\(18\) 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 0.723811 0.689998i \(-0.242389\pi\)
−0.511636 + 0.859203i \(0.670960\pi\)
\(24\) −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 0.998020 0.0628897i \(-0.0200316\pi\)
−0.283393 + 0.959004i \(0.591460\pi\)
\(30\) −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 0.974182 + 0.225765i \(0.0724883\pi\)
0.00332925 + 0.999994i \(0.498940\pi\)
\(38\) −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 0.160728 0.986999i \(-0.448616\pi\)
−0.283432 + 0.958992i \(0.591473\pi\)
\(42\) 2.43764 + 2.83864i 0.376136 + 0.438012i
\(43\) −9.95871 + 2.27301i −1.51869 + 0.346631i −0.898906 0.438142i \(-0.855637\pi\)
−0.619783 + 0.784773i \(0.712779\pi\)
\(44\) −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 0.181493 0.983392i \(-0.441907\pi\)
0.882006 + 0.471238i \(0.156193\pi\)
\(48\) 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 −0.424800 0.905287i \(-0.639656\pi\)
0.977117 + 0.212704i \(0.0682272\pi\)
\(54\) −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 0.956307 0.292366i \(-0.0944425\pi\)
−0.988455 + 0.151513i \(0.951585\pi\)
\(60\) 4.36244 6.57483i 0.563188 0.848807i
\(61\) 4.52728 3.61038i 0.579659 0.462262i −0.289237 0.957257i \(-0.593402\pi\)
0.868896 + 0.494995i \(0.164830\pi\)
\(62\) −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 \(-0.885433\pi\)
0.935924 0.352202i \(-0.114567\pi\)
\(68\) −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 0.419096 0.907942i \(-0.362347\pi\)
−0.791920 + 0.610624i \(0.790919\pi\)
\(72\) −1.72143 + 2.24425i −0.202872 + 0.264488i
\(73\) 6.35632 13.1990i 0.743952 1.54483i −0.0918335 0.995774i \(-0.529273\pi\)
0.835785 0.549057i \(-0.185013\pi\)
\(74\) −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 \(0.425930\pi\)
−0.230603 + 0.973048i \(0.574070\pi\)
\(80\) −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 0.141708 0.989909i \(-0.454741\pi\)
−0.685588 + 0.727989i \(0.740455\pi\)
\(84\) −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 0.260857 + 0.965377i \(0.415995\pi\)
−0.917404 + 0.397957i \(0.869719\pi\)
\(90\) −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 \(-0.941576\pi\)
0.983203 0.182516i \(-0.0584242\pi\)
\(98\) −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 −0.261360 0.965241i \(-0.584171\pi\)
−0.654280 + 0.756253i \(0.727028\pi\)
\(102\) 6.51304 2.60360i 0.644887 0.257795i
\(103\) 3.13189 13.7217i 0.308595 1.35204i −0.548185 0.836357i \(-0.684681\pi\)
0.856779 0.515684i \(-0.172462\pi\)
\(104\) 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 0.132271 + 0.991214i \(0.457773\pi\)
−0.857431 + 0.514598i \(0.827941\pi\)
\(108\) 1.44886 1.37869i 0.139417 0.132665i
\(109\) −1.60357 + 0.772241i −0.153595 + 0.0739672i −0.509102 0.860706i \(-0.670022\pi\)
0.355507 + 0.934673i \(0.384308\pi\)
\(110\) 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 0.947591 0.319487i \(-0.103511\pi\)
0.341028 + 0.940053i \(0.389225\pi\)
\(114\) 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 −0.496596 0.867982i \(-0.665417\pi\)
0.735717 + 0.677289i \(0.236845\pi\)
\(128\) 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 0.964405 0.264430i \(-0.0851838\pi\)
−0.983631 + 0.180196i \(0.942327\pi\)
\(132\) −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 0.785213 + 0.619225i \(0.212553\pi\)
−0.438781 + 0.898594i \(0.644590\pi\)
\(138\) 1.04640 + 1.51422i 0.0890756 + 0.128899i
\(139\) 2.69583 11.8112i 0.228657 1.00181i −0.722079 0.691811i \(-0.756813\pi\)
0.950736 0.310002i \(-0.100330\pi\)
\(140\) 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 −0.679037 0.734104i \(-0.737602\pi\)
0.150573 + 0.988599i \(0.451888\pi\)
\(150\) 11.0162 + 10.0933i 0.899470 + 0.824112i
\(151\) 14.3752 + 11.4638i 1.16984 + 0.932915i 0.998630 0.0523203i \(-0.0166617\pi\)
0.171208 + 0.985235i \(0.445233\pi\)
\(152\) 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 −0.311331 0.950301i \(-0.600775\pi\)
0.131821 + 0.991274i \(0.457918\pi\)
\(158\) −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 −0.919947 0.392044i \(-0.871768\pi\)
−0.658742 + 0.752369i \(0.728911\pi\)
\(164\) 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 0.957350 0.288930i \(-0.0932995\pi\)
−0.494716 + 0.869054i \(0.664728\pi\)
\(168\) −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 0.995962 0.0897778i \(-0.0286157\pi\)
0.134095 + 0.990968i \(0.457187\pi\)
\(174\) 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 −0.530761 0.847521i \(-0.678094\pi\)
0.708167 + 0.706045i \(0.249523\pi\)
\(180\) −5.43925 5.71610i −0.405418 0.426053i
\(181\) −6.09541 + 12.6573i −0.453069 + 0.940806i 0.541883 + 0.840454i \(0.317711\pi\)
−0.994952 + 0.100353i \(0.968003\pi\)
\(182\) −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 −0.267654 0.963515i \(-0.586248\pi\)
−0.659202 + 0.751966i \(0.729106\pi\)
\(192\) −4.74822 + 6.43851i −0.342674 + 0.464659i
\(193\) 1.21712 5.33255i 0.0876101 0.383845i −0.912045 0.410089i \(-0.865498\pi\)
0.999656 + 0.0262441i \(0.00835473\pi\)
\(194\) 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 −0.576492 0.817103i \(-0.695579\pi\)
0.873929 0.486054i \(-0.161564\pi\)
\(200\) 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 −0.195667 0.980670i \(-0.562687\pi\)
0.888715 0.458459i \(-0.151598\pi\)
\(212\) −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 −0.992759 0.120120i \(-0.961672\pi\)
0.338018 + 0.941140i \(0.390243\pi\)
\(224\) −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 0.552061 0.833804i \(-0.313842\pi\)
0.859164 + 0.511701i \(0.170984\pi\)
\(230\) 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 0.852619 0.522533i \(-0.175013\pi\)
−0.699157 + 0.714968i \(0.746441\pi\)
\(234\) 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 −0.440619 0.897694i \(-0.645241\pi\)
−0.00748909 + 0.999972i \(0.502384\pi\)
\(240\) −10.4391 + 11.8348i −0.673844 + 0.763930i
\(241\) 6.35072 + 5.06453i 0.409086 + 0.326235i 0.806317 0.591484i \(-0.201458\pi\)
−0.397231 + 0.917718i \(0.630029\pi\)
\(242\) 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 0.987130 0.159919i \(-0.0511234\pi\)
−0.958760 + 0.284217i \(0.908266\pi\)
\(252\) 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 −0.780258 0.625458i \(-0.784912\pi\)
0.436153 + 0.899873i \(0.356341\pi\)
\(258\) −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 \(-0.724596\pi\)
0.648483 0.761229i \(-0.275404\pi\)
\(264\) −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 −0.771892 0.635754i \(-0.780689\pi\)
0.978319 + 0.207103i \(0.0664035\pi\)
\(270\) 3.17194 + 4.59004i 0.193038 + 0.279341i
\(271\) −16.4026 + 20.5683i −0.996389 + 1.24943i −0.0280990 + 0.999605i \(0.508945\pi\)
−0.968290 + 0.249828i \(0.919626\pi\)
\(272\) 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 0.967427 0.253149i \(-0.0814664\pi\)
−0.462075 + 0.886841i \(0.652895\pi\)
\(278\) 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 −0.351837 0.936061i \(-0.614443\pi\)
0.512475 + 0.858702i \(0.328729\pi\)
\(282\) 11.3056 1.77688i 0.673237 0.105812i
\(283\) −11.1751 + 5.38163i −0.664289 + 0.319905i −0.735469 0.677559i \(-0.763038\pi\)
0.0711795 + 0.997464i \(0.477324\pi\)
\(284\) 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 \(0.0650003\pi\)
−0.979223 + 0.202788i \(0.935000\pi\)
\(294\) 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 −0.694078 0.719900i \(-0.744188\pi\)
0.130090 + 0.991502i \(0.458473\pi\)
\(308\) 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 0.637368 0.770559i \(-0.280023\pi\)
−0.893068 + 0.449923i \(0.851452\pi\)
\(312\) −0.222239 11.7688i −0.0125818 0.666275i
\(313\) 7.77323i 0.439369i −0.975571 0.219684i \(-0.929497\pi\)
0.975571 0.219684i \(-0.0705028\pi\)
\(314\) −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 −0.526940 0.849903i \(-0.676661\pi\)
0.945849 + 0.324607i \(0.105232\pi\)
\(318\) 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 −0.149487 0.988764i \(-0.547762\pi\)
0.930709 + 0.365760i \(0.119191\pi\)
\(332\) 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 −0.708089 0.706123i \(-0.750443\pi\)
0.331591 0.943423i \(-0.392415\pi\)
\(338\) −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 −0.999979 0.00643910i \(-0.997950\pi\)
−0.228794 0.973475i \(-0.573478\pi\)
\(348\) −11.7495 + 3.78685i −0.629839 + 0.202996i
\(349\) 1.49584 0.341417i 0.0800707 0.0182756i −0.182298 0.983243i \(-0.558354\pi\)
0.262369 + 0.964968i \(0.415496\pi\)
\(350\) −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 −0.964287 0.264861i \(-0.914674\pi\)
−0.753874 + 0.657020i \(0.771817\pi\)
\(354\) 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 0.149105 0.988821i \(-0.452361\pi\)
0.563372 + 0.826203i \(0.309504\pi\)
\(360\) 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 −0.332463 0.943116i \(-0.607880\pi\)
−0.944645 + 0.328093i \(0.893594\pi\)
\(368\) 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 0.935340 0.353749i \(-0.115093\pi\)
−0.859747 + 0.510719i \(0.829379\pi\)
\(380\) 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 0.508594 0.861007i \(-0.330166\pi\)
−0.356059 + 0.934463i \(0.615880\pi\)
\(384\) −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 0.836526 + 0.547927i \(0.184583\pi\)
−0.991421 + 0.130710i \(0.958274\pi\)
\(390\) 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 −0.140110 0.990136i \(-0.544746\pi\)
−0.555839 + 0.831290i \(0.687603\pi\)
\(398\) 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 0.405416 0.914133i \(-0.367127\pi\)
−0.461925 + 0.886919i \(0.652841\pi\)
\(402\) 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 −0.534912 0.844908i \(-0.679655\pi\)
0.704695 + 0.709511i \(0.251084\pi\)
\(410\) −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 −0.468809 0.883300i \(-0.655317\pi\)
0.965473 + 0.260502i \(0.0838882\pi\)
\(420\) 19.0903 8.44835i 0.931512 0.412237i
\(421\) −3.44855 4.32435i −0.168072 0.210756i 0.690661 0.723178i \(-0.257320\pi\)
−0.858733 + 0.512423i \(0.828748\pi\)
\(422\) 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 −0.813050 0.582193i \(-0.802195\pi\)
−0.479929 + 0.877307i \(0.659338\pi\)
\(432\) −3.24719 + 2.33576i −0.156230 + 0.112379i
\(433\) 9.19233 + 2.09809i 0.441755 + 0.100828i 0.437613 0.899164i \(-0.355824\pi\)
0.00414277 + 0.999991i \(0.498681\pi\)
\(434\) −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 −0.861982 0.506939i \(-0.830777\pi\)
−0.141096 + 0.989996i \(0.545063\pi\)
\(440\) −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 0.994801 + 0.101843i \(0.0324738\pi\)
−0.540624 + 0.841264i \(0.681812\pi\)
\(444\) −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 −0.0519288 0.998651i \(-0.516537\pi\)
0.480085 0.877222i \(-0.340606\pi\)
\(450\) 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 0.923269 + 0.384155i \(0.125507\pi\)
−0.665158 + 0.746703i \(0.731636\pi\)
\(458\) 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 0.0719082 0.997411i \(-0.477091\pi\)
0.988405 + 0.151840i \(0.0485197\pi\)
\(462\) −0.729956 + 1.66827i −0.0339606 + 0.0776151i
\(463\) −16.0344 12.7870i −0.745180 0.594262i 0.175546 0.984471i \(-0.443831\pi\)
−0.920726 + 0.390210i \(0.872402\pi\)
\(464\) 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 −0.746437 0.665456i \(-0.768237\pi\)
0.814869 + 0.579645i \(0.196809\pi\)
\(468\) −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 −0.317202 0.948358i \(-0.602743\pi\)
0.543684 + 0.839290i \(0.317029\pi\)
\(480\) −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 −0.00917788 0.999958i \(-0.502921\pi\)
−0.442134 + 0.896949i \(0.645779\pi\)
\(488\) −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 \(-0.789665\pi\)
0.789510 0.613737i \(-0.210335\pi\)
\(492\) 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 0.0321234 0.999484i \(-0.489773\pi\)
0.761399 0.648283i \(-0.224513\pi\)
\(500\) 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 −0.0177537 0.999842i \(-0.505651\pi\)
0.770639 + 0.637272i \(0.219937\pi\)
\(504\) −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 \(0.0917757\pi\)
−0.958722 + 0.284344i \(0.908224\pi\)
\(510\) −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 \(-0.843026\pi\)
0.880847 0.473401i \(-0.156974\pi\)
\(522\) 8.62314 1.35529i 0.377424 0.0593193i
\(523\) −2.90380 12.7224i −0.126974 0.556310i −0.997893 0.0648831i \(-0.979333\pi\)
0.870919 0.491427i \(-0.163525\pi\)
\(524\) 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 −0.648121 0.761538i \(-0.724445\pi\)
0.191298 + 0.981532i \(0.438730\pi\)
\(542\) −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 0.134711 0.990885i \(-0.456989\pi\)
−0.308558 + 0.951205i \(0.599847\pi\)
\(548\) −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 0.852376 0.522930i \(-0.175161\pi\)
0.122604 + 0.992456i \(0.460875\pi\)
\(564\) 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 −0.0494312 0.998778i \(-0.515741\pi\)
0.962737 + 0.270441i \(0.0871694\pi\)
\(572\) 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 −0.994577 0.104003i \(-0.966835\pi\)
0.538796 0.842436i \(-0.318879\pi\)
\(578\) 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 0.370144 0.928974i \(-0.379308\pi\)
−0.0695781 + 0.997577i \(0.522165\pi\)
\(594\) 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 0.992288 0.123955i \(-0.0395579\pi\)
−0.715593 + 0.698517i \(0.753844\pi\)
\(600\) −19.0688 23.0066i −0.778480 0.939242i
\(601\) 5.39703 + 11.2070i 0.220149 + 0.457145i 0.981567 0.191116i \(-0.0612107\pi\)
−0.761418 + 0.648261i \(0.775496\pi\)
\(602\) 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 0.339706 0.940532i \(-0.389673\pi\)
−0.523534 + 0.852004i \(0.675387\pi\)
\(614\) −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 0.808288 0.588787i \(-0.200394\pi\)
−0.753886 + 0.657005i \(0.771823\pi\)
\(618\) 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 0.261288 0.965261i \(-0.415853\pi\)
0.654224 + 0.756301i \(0.272995\pi\)
\(632\) 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 −0.566843 0.823826i \(-0.691835\pi\)
0.929305 + 0.369312i \(0.120407\pi\)
\(642\) −16.5167 + 18.0270i −0.651861 + 0.711468i
\(643\) 4.95656 + 21.7161i 0.195468 + 0.856400i 0.973593 + 0.228291i \(0.0733137\pi\)
−0.778125 + 0.628109i \(0.783829\pi\)
\(644\) −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 0.741224 + 0.671258i \(0.234246\pi\)
−0.376572 + 0.926387i \(0.622897\pi\)
\(648\) 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 0.965491 0.260435i \(-0.0838661\pi\)
−0.982876 + 0.184267i \(0.941009\pi\)
\(654\) −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 0.627178 0.778876i \(-0.284210\pi\)
−0.619788 + 0.784769i \(0.712781\pi\)
\(660\) 3.80412 + 0.524496i 0.148075 + 0.0204160i
\(661\) 6.24063 12.9588i 0.242732 0.504039i −0.743637 0.668583i \(-0.766901\pi\)
0.986370 + 0.164544i \(0.0526154\pi\)
\(662\) 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 −0.742290 0.670079i \(-0.766260\pi\)
0.0610789 + 0.998133i \(0.480546\pi\)
\(674\) 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 −0.508818 0.860874i \(-0.669917\pi\)
0.990301 0.138937i \(-0.0443685\pi\)
\(678\) 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 0.856858 0.515552i \(-0.172413\pi\)
0.548313 + 0.836273i \(0.315270\pi\)
\(684\) 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 −0.203622 0.979050i \(-0.565271\pi\)
0.608251 0.793745i \(-0.291871\pi\)
\(692\) −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 0.710275 0.703925i \(-0.248571\pi\)
−0.107502 + 0.994205i \(0.534285\pi\)
\(702\) 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 −0.852457 0.522797i \(-0.824889\pi\)
0.699379 + 0.714751i \(0.253460\pi\)
\(710\) −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 −0.997175 0.0751195i \(-0.976066\pi\)
0.865830 0.500338i \(-0.166791\pi\)
\(720\) 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 0.836085 + 0.548600i \(0.184839\pi\)
−0.991315 + 0.131508i \(0.958018\pi\)
\(728\) 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 0.818394 0.574658i \(-0.194865\pi\)
−0.959546 + 0.281553i \(0.909150\pi\)
\(734\) 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 0.766122 0.642696i \(-0.222184\pi\)
−0.456104 + 0.889927i \(0.650755\pi\)
\(740\) 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 −0.515676 0.856784i \(-0.672459\pi\)
−0.836352 + 0.548192i \(0.815316\pi\)
\(744\) −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 −0.316735 0.948514i \(-0.602586\pi\)
0.126177 + 0.992008i \(0.459729\pi\)
\(752\) 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 −0.947567 0.319558i \(-0.896465\pi\)
0.522400 + 0.852701i \(0.325037\pi\)
\(758\) −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 −0.173490 0.984836i \(-0.555505\pi\)
−0.998749 + 0.0500060i \(0.984076\pi\)
\(762\) 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 0.157553 + 0.987511i \(0.449639\pi\)
−0.870300 + 0.492523i \(0.836075\pi\)
\(770\) 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 0.980705 + 0.195492i \(0.0626303\pi\)