Properties

Label 384.2.v.a.229.18
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [384,2,Mod(13,384)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(384, base_ring=CyclotomicField(32))
 
chi = DirichletCharacter(H, H._module([0, 15, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("384.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.18
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.208677 + 1.39873i) q^{2} +(0.881921 - 0.471397i) q^{3} +(-1.91291 + 0.583766i) q^{4} +(1.48823 + 1.81341i) q^{5} +(0.843395 + 1.13520i) q^{6} +(2.68193 - 1.79201i) q^{7} +(-1.21571 - 2.55383i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(0.208677 + 1.39873i) q^{2} +(0.881921 - 0.471397i) q^{3} +(-1.91291 + 0.583766i) q^{4} +(1.48823 + 1.81341i) q^{5} +(0.843395 + 1.13520i) q^{6} +(2.68193 - 1.79201i) q^{7} +(-1.21571 - 2.55383i) q^{8} +(0.555570 - 0.831470i) q^{9} +(-2.22592 + 2.46005i) q^{10} +(-0.671156 + 0.203593i) q^{11} +(-1.41185 + 1.41657i) q^{12} +(4.24699 + 3.48542i) q^{13} +(3.06620 + 3.37735i) q^{14} +(2.16734 + 0.897740i) q^{15} +(3.31843 - 2.23338i) q^{16} +(-4.31273 + 1.78639i) q^{17} +(1.27894 + 0.603586i) q^{18} +(-0.0391274 - 0.397267i) q^{19} +(-3.90545 - 2.60011i) q^{20} +(1.52050 - 2.84466i) q^{21} +(-0.424827 - 0.896283i) q^{22} +(-2.48258 + 0.493815i) q^{23} +(-2.27603 - 1.67919i) q^{24} +(-0.0981862 + 0.493616i) q^{25} +(-3.98892 + 6.66774i) q^{26} +(0.0980171 - 0.995185i) q^{27} +(-4.08417 + 4.99357i) q^{28} +(-0.449375 + 1.48139i) q^{29} +(-0.803426 + 3.21886i) q^{30} +(-3.23930 - 3.23930i) q^{31} +(3.81638 + 4.17555i) q^{32} +(-0.495934 + 0.495934i) q^{33} +(-3.39865 - 5.65958i) q^{34} +(7.24097 + 2.19653i) q^{35} +(-0.577371 + 1.91485i) q^{36} +(-6.20193 - 0.610836i) q^{37} +(0.547505 - 0.137629i) q^{38} +(5.38853 + 1.07184i) q^{39} +(2.82189 - 6.00527i) q^{40} +(1.22543 + 6.16066i) q^{41} +(4.29622 + 1.53316i) q^{42} +(10.2279 + 5.46694i) q^{43} +(1.16501 - 0.781253i) q^{44} +(2.33461 - 0.229939i) q^{45} +(-1.20877 - 3.36941i) q^{46} +(-3.46695 - 8.36996i) q^{47} +(1.87379 - 3.53397i) q^{48} +(1.30267 - 3.14492i) q^{49} +(-0.710925 - 0.0343303i) q^{50} +(-2.96139 + 3.60846i) q^{51} +(-10.1588 - 4.18803i) q^{52} +(-2.45565 - 8.09520i) q^{53} +(1.41245 - 0.0705720i) q^{54} +(-1.36803 - 0.914089i) q^{55} +(-7.83694 - 4.67063i) q^{56} +(-0.221777 - 0.331913i) q^{57} +(-2.16585 - 0.319424i) q^{58} +(2.49418 - 2.04692i) q^{59} +(-4.66999 - 0.452077i) q^{60} +(-5.58448 - 10.4478i) q^{61} +(3.85495 - 5.20688i) q^{62} -3.22553i q^{63} +(-5.04409 + 6.20944i) q^{64} +12.8886i q^{65} +(-0.797169 - 0.590189i) q^{66} +(-6.84973 - 12.8149i) q^{67} +(7.20702 - 5.93483i) q^{68} +(-1.95665 + 1.60578i) q^{69} +(-1.56133 + 10.5866i) q^{70} +(7.22361 + 10.8109i) q^{71} +(-2.79884 - 0.408004i) q^{72} +(-4.10328 - 2.74172i) q^{73} +(-0.439800 - 8.80231i) q^{74} +(0.146096 + 0.481615i) q^{75} +(0.306758 + 0.737094i) q^{76} +(-1.43515 + 1.74874i) q^{77} +(-0.374765 + 7.76078i) q^{78} +(3.49016 - 8.42599i) q^{79} +(8.98863 + 2.69391i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(-8.36141 + 2.99964i) q^{82} +(2.18497 - 0.215201i) q^{83} +(-1.24797 + 6.32920i) q^{84} +(-9.65779 - 5.16220i) q^{85} +(-5.51246 + 15.4470i) q^{86} +(0.302010 + 1.51831i) q^{87} +(1.33587 + 1.46651i) q^{88} +(-0.00810227 - 0.00161164i) q^{89} +(0.808803 + 3.21752i) q^{90} +(17.6360 + 1.73700i) q^{91} +(4.46067 - 2.39387i) q^{92} +(-4.38380 - 1.32981i) q^{93} +(10.9839 - 6.59595i) q^{94} +(0.662178 - 0.662178i) q^{95} +(5.33409 + 1.88348i) q^{96} +(2.67206 + 2.67206i) q^{97} +(4.67075 + 1.16582i) q^{98} +(-0.203593 + 0.671156i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q+O(q^{10}) \) Copy content Toggle raw display \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.208677 + 1.39873i 0.147557 + 0.989054i
\(3\) 0.881921 0.471397i 0.509177 0.272161i
\(4\) −1.91291 + 0.583766i −0.956454 + 0.291883i
\(5\) 1.48823 + 1.81341i 0.665556 + 0.810982i 0.990898 0.134614i \(-0.0429795\pi\)
−0.325342 + 0.945596i \(0.605479\pi\)
\(6\) 0.843395 + 1.13520i 0.344314 + 0.463445i
\(7\) 2.68193 1.79201i 1.01367 0.677315i 0.0664177 0.997792i \(-0.478843\pi\)
0.947256 + 0.320476i \(0.103843\pi\)
\(8\) −1.21571 2.55383i −0.429819 0.902915i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) −2.22592 + 2.46005i −0.703898 + 0.777936i
\(11\) −0.671156 + 0.203593i −0.202361 + 0.0613856i −0.389838 0.920883i \(-0.627469\pi\)
0.187477 + 0.982269i \(0.439969\pi\)
\(12\) −1.41185 + 1.41657i −0.407566 + 0.408930i
\(13\) 4.24699 + 3.48542i 1.17790 + 0.966681i 0.999850 0.0173397i \(-0.00551967\pi\)
0.178054 + 0.984021i \(0.443020\pi\)
\(14\) 3.06620 + 3.37735i 0.819476 + 0.902636i
\(15\) 2.16734 + 0.897740i 0.559604 + 0.231796i
\(16\) 3.31843 2.23338i 0.829609 0.558345i
\(17\) −4.31273 + 1.78639i −1.04599 + 0.433264i −0.838459 0.544965i \(-0.816543\pi\)
−0.207532 + 0.978228i \(0.566543\pi\)
\(18\) 1.27894 + 0.603586i 0.301449 + 0.142267i
\(19\) −0.0391274 0.397267i −0.00897643 0.0911392i 0.989653 0.143484i \(-0.0458305\pi\)
−0.998629 + 0.0523447i \(0.983331\pi\)
\(20\) −3.90545 2.60011i −0.873286 0.581403i
\(21\) 1.52050 2.84466i 0.331801 0.620756i
\(22\) −0.424827 0.896283i −0.0905734 0.191088i
\(23\) −2.48258 + 0.493815i −0.517653 + 0.102968i −0.447001 0.894533i \(-0.647508\pi\)
−0.0706520 + 0.997501i \(0.522508\pi\)
\(24\) −2.27603 1.67919i −0.464592 0.342764i
\(25\) −0.0981862 + 0.493616i −0.0196372 + 0.0987231i
\(26\) −3.98892 + 6.66774i −0.782292 + 1.30765i
\(27\) 0.0980171 0.995185i 0.0188634 0.191523i
\(28\) −4.08417 + 4.99357i −0.771836 + 0.943695i
\(29\) −0.449375 + 1.48139i −0.0834469 + 0.275088i −0.988727 0.149727i \(-0.952161\pi\)
0.905280 + 0.424814i \(0.139661\pi\)
\(30\) −0.803426 + 3.21886i −0.146685 + 0.587681i
\(31\) −3.23930 3.23930i −0.581795 0.581795i 0.353601 0.935396i \(-0.384957\pi\)
−0.935396 + 0.353601i \(0.884957\pi\)
\(32\) 3.81638 + 4.17555i 0.674648 + 0.738140i
\(33\) −0.495934 + 0.495934i −0.0863310 + 0.0863310i
\(34\) −3.39865 5.65958i −0.582864 0.970610i
\(35\) 7.24097 + 2.19653i 1.22395 + 0.371281i
\(36\) −0.577371 + 1.91485i −0.0962285 + 0.319141i
\(37\) −6.20193 0.610836i −1.01959 0.100421i −0.425615 0.904904i \(-0.639942\pi\)
−0.593975 + 0.804483i \(0.702442\pi\)
\(38\) 0.547505 0.137629i 0.0888171 0.0223264i
\(39\) 5.38853 + 1.07184i 0.862855 + 0.171633i
\(40\) 2.82189 6.00527i 0.446179 0.949516i
\(41\) 1.22543 + 6.16066i 0.191380 + 0.962134i 0.950391 + 0.311056i \(0.100683\pi\)
−0.759011 + 0.651078i \(0.774317\pi\)
\(42\) 4.29622 + 1.53316i 0.662921 + 0.236572i
\(43\) 10.2279 + 5.46694i 1.55974 + 0.833701i 0.999987 + 0.00504352i \(0.00160541\pi\)
0.559757 + 0.828657i \(0.310895\pi\)
\(44\) 1.16501 0.781253i 0.175632 0.117778i
\(45\) 2.33461 0.229939i 0.348023 0.0342773i
\(46\) −1.20877 3.36941i −0.178224 0.496793i
\(47\) −3.46695 8.36996i −0.505707 1.22088i −0.946333 0.323193i \(-0.895244\pi\)
0.440626 0.897691i \(-0.354756\pi\)
\(48\) 1.87379 3.53397i 0.270458 0.510084i
\(49\) 1.30267 3.14492i 0.186096 0.449275i
\(50\) −0.710925 0.0343303i −0.100540 0.00485503i
\(51\) −2.96139 + 3.60846i −0.414678 + 0.505286i
\(52\) −10.1588 4.18803i −1.40877 0.580776i
\(53\) −2.45565 8.09520i −0.337310 1.11196i −0.947513 0.319716i \(-0.896412\pi\)
0.610204 0.792245i \(-0.291088\pi\)
\(54\) 1.41245 0.0705720i 0.192210 0.00960364i
\(55\) −1.36803 0.914089i −0.184465 0.123256i
\(56\) −7.83694 4.67063i −1.04725 0.624139i
\(57\) −0.221777 0.331913i −0.0293751 0.0439630i
\(58\) −2.16585 0.319424i −0.284390 0.0419425i
\(59\) 2.49418 2.04692i 0.324715 0.266486i −0.457885 0.889011i \(-0.651393\pi\)
0.782600 + 0.622525i \(0.213893\pi\)
\(60\) −4.66999 0.452077i −0.602893 0.0583629i
\(61\) −5.58448 10.4478i −0.715019 1.33771i −0.932332 0.361605i \(-0.882229\pi\)
0.217312 0.976102i \(-0.430271\pi\)
\(62\) 3.85495 5.20688i 0.489579 0.661275i
\(63\) 3.22553i 0.406379i
\(64\) −5.04409 + 6.20944i −0.630511 + 0.776180i
\(65\) 12.8886i 1.59864i
\(66\) −0.797169 0.590189i −0.0981247 0.0726472i
\(67\) −6.84973 12.8149i −0.836827 1.56559i −0.824633 0.565668i \(-0.808618\pi\)
−0.0121942 0.999926i \(-0.503882\pi\)
\(68\) 7.20702 5.93483i 0.873980 0.719704i
\(69\) −1.95665 + 1.60578i −0.235553 + 0.193314i
\(70\) −1.56133 + 10.5866i −0.186615 + 1.26533i
\(71\) 7.22361 + 10.8109i 0.857285 + 1.28302i 0.957611 + 0.288063i \(0.0930113\pi\)
−0.100326 + 0.994955i \(0.531989\pi\)
\(72\) −2.79884 0.408004i −0.329847 0.0480837i
\(73\) −4.10328 2.74172i −0.480252 0.320894i 0.291771 0.956488i \(-0.405755\pi\)
−0.772024 + 0.635594i \(0.780755\pi\)
\(74\) −0.439800 8.80231i −0.0511257 1.02325i
\(75\) 0.146096 + 0.481615i 0.0168697 + 0.0556121i
\(76\) 0.306758 + 0.737094i 0.0351875 + 0.0845504i
\(77\) −1.43515 + 1.74874i −0.163551 + 0.199287i
\(78\) −0.374765 + 7.76078i −0.0424337 + 0.878736i
\(79\) 3.49016 8.42599i 0.392674 0.947998i −0.596682 0.802478i \(-0.703514\pi\)
0.989355 0.145520i \(-0.0464856\pi\)
\(80\) 8.98863 + 2.69391i 1.00496 + 0.301188i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) −8.36141 + 2.99964i −0.923363 + 0.331255i
\(83\) 2.18497 0.215201i 0.239832 0.0236214i 0.0226128 0.999744i \(-0.492801\pi\)
0.217219 + 0.976123i \(0.430301\pi\)
\(84\) −1.24797 + 6.32920i −0.136164 + 0.690572i
\(85\) −9.65779 5.16220i −1.04753 0.559919i
\(86\) −5.51246 + 15.4470i −0.594424 + 1.66569i
\(87\) 0.302010 + 1.51831i 0.0323788 + 0.162779i
\(88\) 1.33587 + 1.46651i 0.142405 + 0.156330i
\(89\) −0.00810227 0.00161164i −0.000858839 0.000170834i 0.194661 0.980871i \(-0.437639\pi\)
−0.195520 + 0.980700i \(0.562639\pi\)
\(90\) 0.808803 + 3.21752i 0.0852553 + 0.339156i
\(91\) 17.6360 + 1.73700i 1.84876 + 0.182087i
\(92\) 4.46067 2.39387i 0.465057 0.249578i
\(93\) −4.38380 1.32981i −0.454579 0.137895i
\(94\) 10.9839 6.59595i 1.13290 0.680321i
\(95\) 0.662178 0.662178i 0.0679380 0.0679380i
\(96\) 5.33409 + 1.88348i 0.544408 + 0.192231i
\(97\) 2.67206 + 2.67206i 0.271306 + 0.271306i 0.829626 0.558320i \(-0.188554\pi\)
−0.558320 + 0.829626i \(0.688554\pi\)
\(98\) 4.67075 + 1.16582i 0.471817 + 0.117765i
\(99\) −0.203593 + 0.671156i −0.0204619 + 0.0674537i
\(100\) −0.100335 1.00156i −0.0100335 0.100156i
\(101\) 0.803229 8.15532i 0.0799243 0.811485i −0.868754 0.495243i \(-0.835079\pi\)
0.948679 0.316242i \(-0.102421\pi\)
\(102\) −5.66525 3.38919i −0.560943 0.335580i
\(103\) 2.37877 11.9589i 0.234387 1.17834i −0.666909 0.745139i \(-0.732383\pi\)
0.901296 0.433204i \(-0.142617\pi\)
\(104\) 3.73804 15.0834i 0.366545 1.47905i
\(105\) 7.42140 1.47621i 0.724255 0.144063i
\(106\) 10.8106 5.12408i 1.05002 0.497695i
\(107\) 0.275363 0.515168i 0.0266204 0.0498032i −0.868259 0.496110i \(-0.834761\pi\)
0.894880 + 0.446307i \(0.147261\pi\)
\(108\) 0.393457 + 1.96092i 0.0378604 + 0.188689i
\(109\) 0.786655 + 7.98704i 0.0753479 + 0.765020i 0.956412 + 0.292022i \(0.0943281\pi\)
−0.881064 + 0.472998i \(0.843172\pi\)
\(110\) 0.993091 2.10426i 0.0946875 0.200633i
\(111\) −5.75756 + 2.38486i −0.546483 + 0.226361i
\(112\) 4.89757 11.9364i 0.462777 1.12789i
\(113\) −5.33195 2.20857i −0.501588 0.207765i 0.117520 0.993071i \(-0.462506\pi\)
−0.619108 + 0.785306i \(0.712506\pi\)
\(114\) 0.417979 0.379470i 0.0391473 0.0355406i
\(115\) −4.59013 3.76702i −0.428032 0.351277i
\(116\) −0.00517241 3.09610i −0.000480247 0.287465i
\(117\) 5.25752 1.59485i 0.486058 0.147444i
\(118\) 3.38357 + 3.06155i 0.311483 + 0.281838i
\(119\) −8.36521 + 12.5194i −0.766838 + 1.14765i
\(120\) −0.342182 6.62640i −0.0312368 0.604905i
\(121\) −8.73717 + 5.83799i −0.794288 + 0.530726i
\(122\) 13.4484 9.99141i 1.21756 0.904580i
\(123\) 3.98485 + 4.85556i 0.359302 + 0.437811i
\(124\) 8.08748 + 4.30549i 0.726277 + 0.386644i
\(125\) 9.30328 4.97271i 0.832111 0.444772i
\(126\) 4.51165 0.673093i 0.401930 0.0599639i
\(127\) −2.81335 −0.249645 −0.124822 0.992179i \(-0.539836\pi\)
−0.124822 + 0.992179i \(0.539836\pi\)
\(128\) −9.73793 5.75957i −0.860720 0.509079i
\(129\) 11.5973 1.02109
\(130\) −18.0278 + 2.68956i −1.58114 + 0.235890i
\(131\) −17.1664 + 9.17564i −1.49984 + 0.801679i −0.997996 0.0632805i \(-0.979844\pi\)
−0.501841 + 0.864960i \(0.667344\pi\)
\(132\) 0.659166 1.23818i 0.0573731 0.107770i
\(133\) −0.816842 0.995325i −0.0708292 0.0863056i
\(134\) 16.4953 12.2551i 1.42498 1.05868i
\(135\) 1.95055 1.30332i 0.167877 0.112172i
\(136\) 9.80518 + 8.84224i 0.840787 + 0.758216i
\(137\) −11.8877 + 17.7912i −1.01564 + 1.52001i −0.170573 + 0.985345i \(0.554562\pi\)
−0.845065 + 0.534664i \(0.820438\pi\)
\(138\) −2.65437 2.40175i −0.225955 0.204450i
\(139\) 11.6699 3.54001i 0.989824 0.300260i 0.246464 0.969152i \(-0.420731\pi\)
0.743360 + 0.668892i \(0.233231\pi\)
\(140\) −15.1336 + 0.0252825i −1.27902 + 0.00213676i
\(141\) −7.00315 5.74733i −0.589771 0.484013i
\(142\) −13.6142 + 12.3599i −1.14248 + 1.03722i
\(143\) −3.56000 1.47460i −0.297702 0.123312i
\(144\) −0.0133650 3.99998i −0.00111375 0.333331i
\(145\) −3.35515 + 1.38975i −0.278630 + 0.115412i
\(146\) 2.97868 6.31152i 0.246517 0.522345i
\(147\) −0.333654 3.38765i −0.0275194 0.279409i
\(148\) 12.2203 2.45200i 1.00450 0.201553i
\(149\) 5.68092 10.6283i 0.465399 0.870701i −0.534278 0.845309i \(-0.679417\pi\)
0.999678 0.0253923i \(-0.00808349\pi\)
\(150\) −0.643163 + 0.304851i −0.0525141 + 0.0248910i
\(151\) −10.3138 + 2.05154i −0.839326 + 0.166952i −0.595992 0.802990i \(-0.703241\pi\)
−0.243334 + 0.969943i \(0.578241\pi\)
\(152\) −0.966984 + 0.582887i −0.0784327 + 0.0472783i
\(153\) −0.910695 + 4.57837i −0.0736253 + 0.370139i
\(154\) −2.74550 1.64247i −0.221239 0.132354i
\(155\) 1.05337 10.6950i 0.0846084 0.859043i
\(156\) −10.9335 + 1.09530i −0.875378 + 0.0876941i
\(157\) −6.94248 + 22.8863i −0.554070 + 1.82653i 0.00877263 + 0.999962i \(0.497208\pi\)
−0.562843 + 0.826564i \(0.690292\pi\)
\(158\) 12.5140 + 3.12349i 0.995563 + 0.248492i
\(159\) −5.98174 5.98174i −0.474383 0.474383i
\(160\) −1.89234 + 13.1348i −0.149603 + 1.03840i
\(161\) −5.77318 + 5.77318i −0.454990 + 0.454990i
\(162\) 1.21240 0.728064i 0.0952554 0.0572021i
\(163\) 21.1872 + 6.42706i 1.65951 + 0.503406i 0.974360 0.224997i \(-0.0722371\pi\)
0.685149 + 0.728403i \(0.259737\pi\)
\(164\) −5.94053 11.0694i −0.463877 0.864376i
\(165\) −1.63739 0.161269i −0.127471 0.0125548i
\(166\) 0.756961 + 3.01128i 0.0587515 + 0.233721i
\(167\) −9.38689 1.86717i −0.726379 0.144486i −0.181968 0.983304i \(-0.558247\pi\)
−0.544411 + 0.838819i \(0.683247\pi\)
\(168\) −9.11328 0.424817i −0.703105 0.0327754i
\(169\) 3.35265 + 16.8549i 0.257896 + 1.29653i
\(170\) 5.20518 14.5859i 0.399219 1.11869i
\(171\) −0.352053 0.188176i −0.0269222 0.0143902i
\(172\) −22.7565 4.48704i −1.73517 0.342134i
\(173\) −5.17396 + 0.509591i −0.393369 + 0.0387435i −0.292768 0.956183i \(-0.594577\pi\)
−0.100601 + 0.994927i \(0.532077\pi\)
\(174\) −2.06068 + 0.739266i −0.156220 + 0.0560436i
\(175\) 0.621235 + 1.49979i 0.0469609 + 0.113374i
\(176\) −1.77249 + 2.17456i −0.133606 + 0.163913i
\(177\) 1.23476 2.98097i 0.0928102 0.224064i
\(178\) 0.000563502 0.0116692i 4.22362e−5 0.000874645i
\(179\) 1.50166 1.82978i 0.112239 0.136764i −0.713860 0.700288i \(-0.753055\pi\)
0.826100 + 0.563524i \(0.190555\pi\)
\(180\) −4.33167 + 1.80272i −0.322863 + 0.134367i
\(181\) 2.98874 + 9.85255i 0.222151 + 0.732334i 0.995189 + 0.0979744i \(0.0312363\pi\)
−0.773038 + 0.634360i \(0.781264\pi\)
\(182\) 1.25063 + 25.0306i 0.0927031 + 1.85539i
\(183\) −9.85014 6.58165i −0.728143 0.486530i
\(184\) 4.27922 + 5.73974i 0.315468 + 0.423139i
\(185\) −8.12218 12.1557i −0.597155 0.893705i
\(186\) 0.945255 6.40927i 0.0693094 0.469950i
\(187\) 2.53082 2.07699i 0.185072 0.151884i
\(188\) 11.5181 + 13.9871i 0.840040 + 1.02011i
\(189\) −1.52050 2.84466i −0.110600 0.206919i
\(190\) 1.06439 + 0.788029i 0.0772190 + 0.0571696i
\(191\) 16.0243i 1.15948i 0.814802 + 0.579739i \(0.196846\pi\)
−0.814802 + 0.579739i \(0.803154\pi\)
\(192\) −1.52138 + 7.85401i −0.109796 + 0.566814i
\(193\) 17.2615i 1.24251i 0.783608 + 0.621255i \(0.213377\pi\)
−0.783608 + 0.621255i \(0.786623\pi\)
\(194\) −3.17990 + 4.29509i −0.228303 + 0.308370i
\(195\) 6.07567 + 11.3668i 0.435087 + 0.813991i
\(196\) −0.655989 + 6.77641i −0.0468564 + 0.484029i
\(197\) 13.0403 10.7019i 0.929082 0.762478i −0.0425212 0.999096i \(-0.513539\pi\)
0.971603 + 0.236618i \(0.0760390\pi\)
\(198\) −0.981253 0.144718i −0.0697346 0.0102846i
\(199\) −5.56652 8.33089i −0.394600 0.590561i 0.579971 0.814637i \(-0.303064\pi\)
−0.974572 + 0.224076i \(0.928064\pi\)
\(200\) 1.37998 0.349343i 0.0975790 0.0247023i
\(201\) −12.0818 8.07283i −0.852187 0.569413i
\(202\) 11.5747 0.578322i 0.814395 0.0406906i
\(203\) 1.44947 + 4.77828i 0.101733 + 0.335369i
\(204\) 3.55837 8.63142i 0.249136 0.604320i
\(205\) −9.34810 + 11.3907i −0.652899 + 0.795560i
\(206\) 17.2237 + 0.831723i 1.20003 + 0.0579489i
\(207\) −0.968653 + 2.33854i −0.0673261 + 0.162539i
\(208\) 21.8776 + 2.08098i 1.51694 + 0.144290i
\(209\) 0.107141 + 0.258662i 0.00741112 + 0.0178920i
\(210\) 3.61350 + 10.0725i 0.249355 + 0.695069i
\(211\) −2.02769 + 0.199710i −0.139592 + 0.0137486i −0.167572 0.985860i \(-0.553593\pi\)
0.0279799 + 0.999608i \(0.491093\pi\)
\(212\) 9.42314 + 14.0518i 0.647184 + 0.965085i
\(213\) 11.4669 + 6.12917i 0.785698 + 0.419964i
\(214\) 0.778045 + 0.277656i 0.0531861 + 0.0189802i
\(215\) 5.30768 + 26.6835i 0.361981 + 1.81980i
\(216\) −2.66069 + 0.959539i −0.181037 + 0.0652884i
\(217\) −14.4924 2.88272i −0.983810 0.195692i
\(218\) −11.0076 + 2.76703i −0.745528 + 0.187407i
\(219\) −4.91121 0.483712i −0.331869 0.0326862i
\(220\) 3.15053 + 0.949959i 0.212409 + 0.0640462i
\(221\) −24.5425 7.44488i −1.65090 0.500797i
\(222\) −4.53725 7.55562i −0.304520 0.507100i
\(223\) −5.29718 + 5.29718i −0.354726 + 0.354726i −0.861864 0.507139i \(-0.830703\pi\)
0.507139 + 0.861864i \(0.330703\pi\)
\(224\) 17.7179 + 4.35954i 1.18383 + 0.291284i
\(225\) 0.355877 + 0.355877i 0.0237251 + 0.0237251i
\(226\) 1.97654 7.91886i 0.131478 0.526754i
\(227\) 0.694958 2.29097i 0.0461260 0.152057i −0.930852 0.365396i \(-0.880934\pi\)
0.976978 + 0.213339i \(0.0684337\pi\)
\(228\) 0.618000 + 0.505454i 0.0409280 + 0.0334745i
\(229\) 1.11971 11.3686i 0.0739925 0.751258i −0.884576 0.466396i \(-0.845552\pi\)
0.958568 0.284862i \(-0.0919478\pi\)
\(230\) 4.31121 7.20646i 0.284273 0.475180i
\(231\) −0.441342 + 2.21878i −0.0290382 + 0.145985i
\(232\) 4.32953 0.653318i 0.284248 0.0428924i
\(233\) 5.15779 1.02595i 0.337898 0.0672121i −0.0232250 0.999730i \(-0.507393\pi\)
0.361123 + 0.932518i \(0.382393\pi\)
\(234\) 3.32789 + 7.02106i 0.217551 + 0.458981i
\(235\) 10.0186 18.7434i 0.653539 1.22269i
\(236\) −3.57622 + 5.37159i −0.232792 + 0.349661i
\(237\) −0.893939 9.07631i −0.0580676 0.589570i
\(238\) −19.2570 9.08819i −1.24824 0.589100i
\(239\) −27.0549 + 11.2065i −1.75003 + 0.724888i −0.752212 + 0.658921i \(0.771013\pi\)
−0.997822 + 0.0659662i \(0.978987\pi\)
\(240\) 9.19716 1.86140i 0.593674 0.120153i
\(241\) 17.8857 + 7.40848i 1.15212 + 0.477222i 0.875243 0.483684i \(-0.160702\pi\)
0.276874 + 0.960906i \(0.410702\pi\)
\(242\) −9.98903 11.0027i −0.642119 0.707281i
\(243\) −0.773010 0.634393i −0.0495886 0.0406963i
\(244\) 16.7817 + 16.7257i 1.07434 + 1.07075i
\(245\) 7.64171 2.31809i 0.488211 0.148097i
\(246\) −5.96008 + 6.58699i −0.380001 + 0.419971i
\(247\) 1.21847 1.82356i 0.0775292 0.116031i
\(248\) −4.33456 + 12.2107i −0.275245 + 0.775379i
\(249\) 1.82553 1.21978i 0.115688 0.0773003i
\(250\) 8.89687 + 11.9751i 0.562687 + 0.757373i
\(251\) −6.18938 7.54178i −0.390670 0.476033i 0.540120 0.841588i \(-0.318379\pi\)
−0.930790 + 0.365556i \(0.880879\pi\)
\(252\) 1.88295 + 6.17014i 0.118615 + 0.388682i
\(253\) 1.56566 0.836862i 0.0984321 0.0526131i
\(254\) −0.587081 3.93513i −0.0368367 0.246912i
\(255\) −10.9509 −0.685769
\(256\) 6.02402 14.8227i 0.376501 0.926416i
\(257\) −12.1272 −0.756475 −0.378238 0.925709i \(-0.623470\pi\)
−0.378238 + 0.925709i \(0.623470\pi\)
\(258\) 2.42009 + 16.2216i 0.150668 + 1.00991i
\(259\) −17.7278 + 9.47568i −1.10155 + 0.588790i
\(260\) −7.52395 24.6548i −0.466616 1.52903i
\(261\) 0.982073 + 1.19666i 0.0607888 + 0.0740714i
\(262\) −16.4165 22.0965i −1.01421 1.36513i
\(263\) 11.5597 7.72394i 0.712801 0.476279i −0.145544 0.989352i \(-0.546493\pi\)
0.858345 + 0.513073i \(0.171493\pi\)
\(264\) 1.86944 + 0.663617i 0.115056 + 0.0408428i
\(265\) 11.0254 16.5006i 0.677282 1.01362i
\(266\) 1.22174 1.35025i 0.0749096 0.0827888i
\(267\) −0.00790529 + 0.00239804i −0.000483796 + 0.000146758i
\(268\) 20.5838 + 20.5152i 1.25736 + 1.25316i
\(269\) 18.0036 + 14.7752i 1.09770 + 0.900857i 0.995580 0.0939150i \(-0.0299382\pi\)
0.102118 + 0.994772i \(0.467438\pi\)
\(270\) 2.23003 + 2.45633i 0.135715 + 0.149487i
\(271\) −10.9674 4.54285i −0.666223 0.275959i 0.0238314 0.999716i \(-0.492413\pi\)
−0.690055 + 0.723757i \(0.742413\pi\)
\(272\) −10.3218 + 15.5600i −0.625853 + 0.943463i
\(273\) 16.3724 6.78167i 0.990903 0.410446i
\(274\) −27.3659 12.9151i −1.65323 0.780232i
\(275\) −0.0345984 0.351283i −0.00208636 0.0211832i
\(276\) 2.80550 4.21395i 0.168871 0.253650i
\(277\) 10.5217 19.6848i 0.632190 1.18274i −0.338172 0.941084i \(-0.609808\pi\)
0.970361 0.241659i \(-0.0776916\pi\)
\(278\) 7.38676 + 15.5843i 0.443028 + 0.934684i
\(279\) −4.49304 + 0.893721i −0.268991 + 0.0535057i
\(280\) −3.19339 21.1626i −0.190841 1.26470i
\(281\) 4.65884 23.4216i 0.277923 1.39721i −0.549434 0.835537i \(-0.685157\pi\)
0.827357 0.561676i \(-0.189843\pi\)
\(282\) 6.57759 10.9949i 0.391690 0.654735i
\(283\) −2.33621 + 23.7199i −0.138873 + 1.41000i 0.632964 + 0.774181i \(0.281838\pi\)
−0.771837 + 0.635821i \(0.780662\pi\)
\(284\) −20.1291 16.4634i −1.19444 0.976921i
\(285\) 0.271840 0.896137i 0.0161024 0.0530826i
\(286\) 1.31968 5.28721i 0.0780345 0.312639i
\(287\) 14.3265 + 14.3265i 0.845666 + 0.845666i
\(288\) 5.59211 0.853396i 0.329518 0.0502868i
\(289\) 3.38764 3.38764i 0.199273 0.199273i
\(290\) −2.64403 4.40295i −0.155263 0.258550i
\(291\) 3.61614 + 1.09694i 0.211982 + 0.0643041i
\(292\) 9.44972 + 2.84931i 0.553003 + 0.166743i
\(293\) 24.8296 + 2.44550i 1.45056 + 0.142868i 0.792396 0.610007i \(-0.208833\pi\)
0.658164 + 0.752875i \(0.271333\pi\)
\(294\) 4.66879 1.17362i 0.272290 0.0684467i
\(295\) 7.42382 + 1.47669i 0.432232 + 0.0859762i
\(296\) 5.97978 + 16.5813i 0.347568 + 0.963766i
\(297\) 0.136828 + 0.687880i 0.00793955 + 0.0399148i
\(298\) 16.0516 + 5.72823i 0.929843 + 0.331827i
\(299\) −12.2646 6.55559i −0.709282 0.379119i
\(300\) −0.560619 0.835999i −0.0323673 0.0482664i
\(301\) 37.2274 3.66658i 2.14575 0.211338i
\(302\) −5.02182 13.9982i −0.288973 0.805504i
\(303\) −3.13601 7.57099i −0.180159 0.434942i
\(304\) −1.01709 1.23092i −0.0583341 0.0705980i
\(305\) 10.6352 25.6757i 0.608971 1.47019i
\(306\) −6.59396 0.318419i −0.376952 0.0182028i
\(307\) −11.6556 + 14.2023i −0.665218 + 0.810570i −0.990856 0.134924i \(-0.956921\pi\)
0.325638 + 0.945494i \(0.394421\pi\)
\(308\) 1.72446 4.18297i 0.0982603 0.238347i
\(309\) −3.53949 11.6681i −0.201354 0.663776i
\(310\) 15.1793 0.758420i 0.862124 0.0430754i
\(311\) −7.90956 5.28500i −0.448510 0.299685i 0.310727 0.950499i \(-0.399428\pi\)
−0.759237 + 0.650815i \(0.774428\pi\)
\(312\) −3.81359 15.0644i −0.215902 0.852856i
\(313\) −3.57046 5.34358i −0.201815 0.302037i 0.716733 0.697348i \(-0.245637\pi\)
−0.918547 + 0.395311i \(0.870637\pi\)
\(314\) −33.4606 4.93484i −1.88829 0.278489i
\(315\) 5.84921 4.80033i 0.329566 0.270468i
\(316\) −1.75755 + 18.1556i −0.0988699 + 1.02133i
\(317\) 14.1523 + 26.4771i 0.794873 + 1.48710i 0.871690 + 0.490057i \(0.163024\pi\)
−0.0768174 + 0.997045i \(0.524476\pi\)
\(318\) 7.11861 9.61511i 0.399192 0.539189i
\(319\) 1.08573i 0.0607895i
\(320\) −18.7670 + 0.0940586i −1.04911 + 0.00525804i
\(321\) 0.584143i 0.0326037i
\(322\) −9.27986 6.87040i −0.517146 0.382873i
\(323\) 0.878420 + 1.64341i 0.0488766 + 0.0914417i
\(324\) 1.27137 + 1.54390i 0.0706315 + 0.0857722i
\(325\) −2.13745 + 1.75416i −0.118565 + 0.0973034i
\(326\) −4.56847 + 30.9764i −0.253024 + 1.71562i
\(327\) 4.45883 + 6.67312i 0.246574 + 0.369024i
\(328\) 14.2435 10.6191i 0.786466 0.586344i
\(329\) −24.2972 16.2348i −1.33955 0.895056i
\(330\) −0.116113 2.32393i −0.00639183 0.127928i
\(331\) −5.34669 17.6257i −0.293881 0.968795i −0.972224 0.234050i \(-0.924802\pi\)
0.678344 0.734745i \(-0.262698\pi\)
\(332\) −4.05402 + 1.68717i −0.222493 + 0.0925955i
\(333\) −3.95350 + 4.81735i −0.216650 + 0.263989i
\(334\) 0.652845 13.5194i 0.0357221 0.739748i
\(335\) 13.0448 31.4929i 0.712713 1.72064i
\(336\) −1.30752 12.8357i −0.0713312 0.700245i
\(337\) 7.96983 + 19.2409i 0.434144 + 1.04812i 0.977937 + 0.208898i \(0.0669876\pi\)
−0.543793 + 0.839219i \(0.683012\pi\)
\(338\) −22.8759 + 8.20668i −1.24428 + 0.446384i
\(339\) −5.74347 + 0.565683i −0.311943 + 0.0307237i
\(340\) 21.4880 + 4.23692i 1.16535 + 0.229779i
\(341\) 2.83357 + 1.51458i 0.153447 + 0.0820189i
\(342\) 0.189743 0.531696i 0.0102601 0.0287509i
\(343\) 2.26283 + 11.3760i 0.122181 + 0.614246i
\(344\) 1.52742 32.7666i 0.0823530 1.76666i
\(345\) −5.82390 1.15845i −0.313548 0.0623686i
\(346\) −1.79247 7.13066i −0.0963637 0.383346i
\(347\) −13.9530 1.37425i −0.749037 0.0737737i −0.283707 0.958911i \(-0.591564\pi\)
−0.465330 + 0.885137i \(0.654064\pi\)
\(348\) −1.46405 2.72808i −0.0784814 0.146240i
\(349\) −26.9048 8.16147i −1.44018 0.436874i −0.528908 0.848679i \(-0.677398\pi\)
−0.911272 + 0.411806i \(0.864898\pi\)
\(350\) −1.96817 + 1.18191i −0.105203 + 0.0631759i
\(351\) 3.88491 3.88491i 0.207361 0.207361i
\(352\) −3.41150 2.02546i −0.181834 0.107957i
\(353\) 17.3316 + 17.3316i 0.922469 + 0.922469i 0.997203 0.0747341i \(-0.0238108\pi\)
−0.0747341 + 0.997203i \(0.523811\pi\)
\(354\) 4.42725 + 1.10504i 0.235306 + 0.0587322i
\(355\) −8.85423 + 29.1885i −0.469934 + 1.54916i
\(356\) 0.0164397 0.00164691i 0.000871303 8.72859e-5i
\(357\) −1.47584 + 14.9845i −0.0781099 + 0.793063i
\(358\) 2.87274 + 1.71859i 0.151829 + 0.0908304i
\(359\) −2.44440 + 12.2888i −0.129011 + 0.648580i 0.861117 + 0.508408i \(0.169766\pi\)
−0.990127 + 0.140172i \(0.955234\pi\)
\(360\) −3.42544 5.68266i −0.180537 0.299503i
\(361\) 18.4786 3.67563i 0.972559 0.193454i
\(362\) −13.1574 + 6.23645i −0.691538 + 0.327780i
\(363\) −4.95348 + 9.26732i −0.259990 + 0.486408i
\(364\) −34.7501 + 6.97260i −1.82140 + 0.365464i
\(365\) −1.13474 11.5212i −0.0593952 0.603049i
\(366\) 7.15048 15.1512i 0.373762 0.791963i
\(367\) 17.1179 7.09048i 0.893549 0.370120i 0.111813 0.993729i \(-0.464334\pi\)
0.781736 + 0.623609i \(0.214334\pi\)
\(368\) −7.13539 + 7.18323i −0.371958 + 0.374452i
\(369\) 5.80322 + 2.40377i 0.302104 + 0.125135i
\(370\) 15.3077 13.8974i 0.795808 0.722490i
\(371\) −21.0925 17.3102i −1.09507 0.898701i
\(372\) 9.16211 0.0153064i 0.475033 0.000793602i
\(373\) 15.3711 4.66276i 0.795883 0.241429i 0.133947 0.990989i \(-0.457235\pi\)
0.661937 + 0.749560i \(0.269735\pi\)
\(374\) 3.43328 + 3.10652i 0.177530 + 0.160634i
\(375\) 5.86064 8.77107i 0.302642 0.452936i
\(376\) −17.1606 + 19.0295i −0.884992 + 0.981369i
\(377\) −7.07177 + 4.72520i −0.364214 + 0.243360i
\(378\) 3.66163 2.72039i 0.188334 0.139922i
\(379\) 13.9749 + 17.0285i 0.717845 + 0.874696i 0.996317 0.0857480i \(-0.0273280\pi\)
−0.278472 + 0.960444i \(0.589828\pi\)
\(380\) −0.880128 + 1.65324i −0.0451496 + 0.0848095i
\(381\) −2.48116 + 1.32621i −0.127113 + 0.0679436i
\(382\) −22.4137 + 3.34390i −1.14679 + 0.171089i
\(383\) −0.700381 −0.0357878 −0.0178939 0.999840i \(-0.505696\pi\)
−0.0178939 + 0.999840i \(0.505696\pi\)
\(384\) −11.3031 0.489055i −0.576811 0.0249570i
\(385\) −5.30702 −0.270471
\(386\) −24.1442 + 3.60207i −1.22891 + 0.183341i
\(387\) 10.2279 5.46694i 0.519915 0.277900i
\(388\) −6.67126 3.55154i −0.338682 0.180302i
\(389\) −4.07784 4.96886i −0.206755 0.251931i 0.659301 0.751879i \(-0.270852\pi\)
−0.866055 + 0.499948i \(0.833352\pi\)
\(390\) −14.6312 + 10.8702i −0.740881 + 0.550435i
\(391\) 9.82454 6.56455i 0.496848 0.331983i
\(392\) −9.61527 + 0.496524i −0.485645 + 0.0250783i
\(393\) −10.8141 + 16.1844i −0.545497 + 0.816394i
\(394\) 17.6903 + 16.0066i 0.891223 + 0.806403i
\(395\) 20.4740 6.21071i 1.03016 0.312494i
\(396\) −0.00234340 1.40271i −0.000117760 0.0704888i
\(397\) 14.3245 + 11.7558i 0.718925 + 0.590006i 0.921092 0.389345i \(-0.127299\pi\)
−0.202168 + 0.979351i \(0.564799\pi\)
\(398\) 10.4911 9.52454i 0.525871 0.477422i
\(399\) −1.18958 0.492742i −0.0595537 0.0246679i
\(400\) 0.776607 + 1.85732i 0.0388303 + 0.0928659i
\(401\) 29.7109 12.3067i 1.48369 0.614566i 0.513759 0.857935i \(-0.328253\pi\)
0.969934 + 0.243369i \(0.0782526\pi\)
\(402\) 8.77053 18.5839i 0.437434 0.926880i
\(403\) −2.46697 25.0476i −0.122889 1.24771i
\(404\) 3.22429 + 16.0693i 0.160415 + 0.799476i
\(405\) 1.10585 2.06891i 0.0549503 0.102805i
\(406\) −6.38106 + 3.02454i −0.316687 + 0.150105i
\(407\) 4.28682 0.852702i 0.212490 0.0422669i
\(408\) 12.8156 + 3.17603i 0.634467 + 0.157237i
\(409\) 2.16844 10.9015i 0.107223 0.539044i −0.889415 0.457101i \(-0.848888\pi\)
0.996637 0.0819425i \(-0.0261124\pi\)
\(410\) −17.8833 10.6985i −0.883191 0.528362i
\(411\) −2.09731 + 21.2943i −0.103453 + 1.05037i
\(412\) 2.43082 + 24.2649i 0.119758 + 1.19544i
\(413\) 3.02112 9.95929i 0.148660 0.490065i
\(414\) −3.47312 0.866889i −0.170695 0.0426053i
\(415\) 3.64198 + 3.64198i 0.178778 + 0.178778i
\(416\) 1.65462 + 31.0352i 0.0811246 + 1.52163i
\(417\) 8.62314 8.62314i 0.422277 0.422277i
\(418\) −0.339441 + 0.203839i −0.0166026 + 0.00997008i
\(419\) 21.6359 + 6.56316i 1.05698 + 0.320632i 0.770490 0.637452i \(-0.220011\pi\)
0.286490 + 0.958083i \(0.407511\pi\)
\(420\) −13.3347 + 7.15621i −0.650667 + 0.349187i
\(421\) −15.2268 1.49971i −0.742110 0.0730915i −0.280106 0.959969i \(-0.590370\pi\)
−0.462004 + 0.886878i \(0.652870\pi\)
\(422\) −0.702472 2.79452i −0.0341958 0.136035i
\(423\) −8.88550 1.76744i −0.432028 0.0859357i
\(424\) −17.6884 + 16.1127i −0.859024 + 0.782504i
\(425\) −0.458340 2.30423i −0.0222328 0.111772i
\(426\) −6.18021 + 17.3181i −0.299432 + 0.839066i
\(427\) −33.6998 18.0129i −1.63085 0.871705i
\(428\) −0.226007 + 1.14622i −0.0109245 + 0.0554045i
\(429\) −3.83476 + 0.377691i −0.185144 + 0.0182351i
\(430\) −36.2155 + 12.9922i −1.74647 + 0.626542i
\(431\) −12.6138 30.4524i −0.607585 1.46684i −0.865618 0.500704i \(-0.833074\pi\)
0.258033 0.966136i \(-0.416926\pi\)
\(432\) −1.89736 3.52137i −0.0912869 0.169422i
\(433\) −8.57242 + 20.6956i −0.411964 + 0.994569i 0.572646 + 0.819803i \(0.305917\pi\)
−0.984610 + 0.174766i \(0.944083\pi\)
\(434\) 1.00793 20.8726i 0.0483821 1.00192i
\(435\) −2.30385 + 2.80725i −0.110461 + 0.134598i
\(436\) −6.16736 14.8193i −0.295363 0.709714i
\(437\) 0.293313 + 0.966923i 0.0140311 + 0.0462542i
\(438\) −0.348271 6.97041i −0.0166410 0.333059i
\(439\) −3.71779 2.48414i −0.177440 0.118562i 0.463678 0.886004i \(-0.346529\pi\)
−0.641119 + 0.767442i \(0.721529\pi\)
\(440\) −0.671296 + 4.60499i −0.0320028 + 0.219534i
\(441\) −1.89118 2.83036i −0.0900564 0.134779i
\(442\) 5.29195 35.8819i 0.251713 1.70673i
\(443\) −11.9930 + 9.84242i −0.569806 + 0.467628i −0.874637 0.484779i \(-0.838900\pi\)
0.304831 + 0.952407i \(0.401400\pi\)
\(444\) 9.62148 7.92308i 0.456615 0.376013i
\(445\) −0.00913546 0.0170912i −0.000433062 0.000810203i
\(446\) −8.51475 6.30395i −0.403185 0.298501i
\(447\) 12.0513i 0.570005i
\(448\) −2.40052 + 25.6923i −0.113414 + 1.21385i
\(449\) 18.9658i 0.895051i −0.894271 0.447526i \(-0.852305\pi\)
0.894271 0.447526i \(-0.147695\pi\)
\(450\) −0.423514 + 0.572040i −0.0199646 + 0.0269662i
\(451\) −2.07672 3.88528i −0.0977891 0.182951i
\(452\) 11.4888 + 1.11217i 0.540389 + 0.0523123i
\(453\) −8.12888 + 6.67120i −0.381928 + 0.313440i
\(454\) 3.34948 + 0.493989i 0.157199 + 0.0231841i
\(455\) 23.0966 + 34.5664i 1.08278 + 1.62050i
\(456\) −0.578033 + 0.969893i −0.0270689 + 0.0454194i
\(457\) 15.9747 + 10.6739i 0.747265 + 0.499306i 0.869950 0.493139i \(-0.164151\pi\)
−0.122686 + 0.992446i \(0.539151\pi\)
\(458\) 16.1353 0.806187i 0.753953 0.0376707i
\(459\) 1.35507 + 4.46706i 0.0632492 + 0.208505i
\(460\) 10.9796 + 4.52641i 0.511925 + 0.211045i
\(461\) 20.4102 24.8700i 0.950600 1.15831i −0.0366816 0.999327i \(-0.511679\pi\)
0.987281 0.158982i \(-0.0508213\pi\)
\(462\) −3.19557 0.154313i −0.148672 0.00717928i
\(463\) 11.6610 28.1521i 0.541931 1.30834i −0.381428 0.924399i \(-0.624567\pi\)
0.923359 0.383939i \(-0.125433\pi\)
\(464\) 1.81729 + 5.91953i 0.0843656 + 0.274807i
\(465\) −4.11260 9.92870i −0.190717 0.460433i
\(466\) 2.51134 + 7.00028i 0.116336 + 0.324282i
\(467\) −19.1361 + 1.88474i −0.885515 + 0.0872156i −0.530539 0.847660i \(-0.678011\pi\)
−0.354975 + 0.934876i \(0.615511\pi\)
\(468\) −9.12614 + 6.11997i −0.421856 + 0.282896i
\(469\) −41.3350 22.0940i −1.90867 1.02021i
\(470\) 28.3077 + 10.1020i 1.30574 + 0.465970i
\(471\) 4.66580 + 23.4566i 0.214989 + 1.08082i
\(472\) −8.25969 3.88125i −0.380183 0.178649i
\(473\) −7.97756 1.58684i −0.366809 0.0729628i
\(474\) 12.5088 3.14440i 0.574548 0.144427i
\(475\) 0.199939 + 0.0196923i 0.00917382 + 0.000903543i
\(476\) 8.69347 28.8318i 0.398465 1.32151i
\(477\) −8.09520 2.45565i −0.370654 0.112437i
\(478\) −21.3206 35.5040i −0.975182 1.62391i
\(479\) 12.3826 12.3826i 0.565776 0.565776i −0.365166 0.930942i \(-0.618988\pi\)
0.930942 + 0.365166i \(0.118988\pi\)
\(480\) 4.52283 + 12.4759i 0.206438 + 0.569446i
\(481\) −24.2105 24.2105i −1.10390 1.10390i
\(482\) −6.63017 + 26.5632i −0.301996 + 1.20992i
\(483\) −2.37003 + 7.81294i −0.107840 + 0.355501i
\(484\) 13.3054 16.2680i 0.604790 0.739454i
\(485\) −0.868908 + 8.82217i −0.0394551 + 0.400594i
\(486\) 0.726038 1.21362i 0.0329337 0.0550508i
\(487\) 0.935808 4.70462i 0.0424055 0.213187i −0.953773 0.300528i \(-0.902837\pi\)
0.996178 + 0.0873413i \(0.0278371\pi\)
\(488\) −19.8928 + 26.9633i −0.900507 + 1.22057i
\(489\) 21.7151 4.31941i 0.981992 0.195330i
\(490\) 4.83703 + 10.2050i 0.218515 + 0.461014i
\(491\) 13.4656 25.1924i 0.607696 1.13692i −0.370421 0.928864i \(-0.620787\pi\)
0.978117 0.208055i \(-0.0667133\pi\)
\(492\) −10.4572 6.96201i −0.471445 0.313872i
\(493\) −0.708312 7.19161i −0.0319008 0.323894i
\(494\) 2.80495 + 1.32377i 0.126200 + 0.0595594i
\(495\) −1.52007 + 0.629636i −0.0683223 + 0.0283000i
\(496\) −17.9840 3.51481i −0.807505 0.157820i
\(497\) 38.7464 + 16.0493i 1.73802 + 0.719910i
\(498\) 2.08709 + 2.29888i 0.0935247 + 0.103015i
\(499\) 4.63527 + 3.80407i 0.207503 + 0.170293i 0.732405 0.680869i \(-0.238398\pi\)
−0.524902 + 0.851163i \(0.675898\pi\)
\(500\) −14.8934 + 14.9433i −0.666054 + 0.668283i
\(501\) −9.15867 + 2.77825i −0.409179 + 0.124123i
\(502\) 9.25735 10.2311i 0.413176 0.456635i
\(503\) 7.03373 10.5267i 0.313619 0.469363i −0.640854 0.767663i \(-0.721419\pi\)
0.954472 + 0.298300i \(0.0964195\pi\)
\(504\) −8.23745 + 3.92132i −0.366925 + 0.174669i
\(505\) 15.9843 10.6804i 0.711294 0.475271i
\(506\) 1.49726 + 2.01531i 0.0665615 + 0.0895912i
\(507\) 10.9021 + 13.2843i 0.484180 + 0.589975i
\(508\) 5.38169 1.64234i 0.238774 0.0728670i
\(509\) −17.8148 + 9.52219i −0.789626 + 0.422064i −0.816334 0.577580i \(-0.803997\pi\)
0.0267088 + 0.999643i \(0.491497\pi\)
\(510\) −2.28519 15.3173i −0.101190 0.678263i
\(511\) −15.9179 −0.704166
\(512\) 21.9900 + 5.33285i 0.971831 + 0.235681i
\(513\) −0.399189 −0.0176246
\(514\) −2.53067 16.9627i −0.111623 0.748194i
\(515\) 25.2265 13.4838i 1.11161 0.594169i
\(516\) −22.1846 + 6.77012i −0.976623 + 0.298038i
\(517\) 4.03093 + 4.91170i 0.177280 + 0.216016i
\(518\) −16.9533 22.8190i −0.744886 1.00261i
\(519\) −4.32281 + 2.88841i −0.189750 + 0.126787i
\(520\) 32.9154 15.6689i 1.44344 0.687126i
\(521\) −14.5605 + 21.7914i −0.637908 + 0.954697i 0.361840 + 0.932240i \(0.382149\pi\)
−0.999748 + 0.0224567i \(0.992851\pi\)
\(522\) −1.46887 + 1.62337i −0.0642908 + 0.0710531i
\(523\) 24.2559 7.35795i 1.06064 0.321741i 0.288687 0.957424i \(-0.406781\pi\)
0.771950 + 0.635683i \(0.219281\pi\)
\(524\) 27.4813 27.5733i 1.20053 1.20455i
\(525\) 1.25488 + 1.02985i 0.0547673 + 0.0449464i
\(526\) 13.2160 + 14.5571i 0.576244 + 0.634721i
\(527\) 19.7569 + 8.18357i 0.860624 + 0.356482i
\(528\) −0.538115 + 2.75333i −0.0234184 + 0.119823i
\(529\) −15.3299 + 6.34985i −0.666517 + 0.276080i
\(530\) 25.3807 + 11.9782i 1.10247 + 0.520301i
\(531\) −0.316260 3.21104i −0.0137245 0.139347i
\(532\) 2.14358 + 1.42712i 0.0929360 + 0.0618735i
\(533\) −16.2681 + 30.4354i −0.704649 + 1.31831i
\(534\) −0.00500387 0.0105570i −0.000216539 0.000456845i
\(535\) 1.34402 0.267341i 0.0581069 0.0115582i
\(536\) −24.3999 + 33.0723i −1.05391 + 1.42851i
\(537\) 0.461795 2.32160i 0.0199279 0.100184i
\(538\) −16.9096 + 28.2654i −0.729024 + 1.21861i
\(539\) −0.234011 + 2.37595i −0.0100795 + 0.102339i
\(540\) −2.97039 + 3.63179i −0.127825 + 0.156287i
\(541\) −9.57232 + 31.5557i −0.411546 + 1.35669i 0.469198 + 0.883093i \(0.344543\pi\)
−0.880744 + 0.473592i \(0.842957\pi\)
\(542\) 4.06559 16.2885i 0.174632 0.699650i
\(543\) 7.28029 + 7.28029i 0.312427 + 0.312427i
\(544\) −23.9182 11.1905i −1.02548 0.479787i
\(545\) −13.3131 + 13.3131i −0.570269 + 0.570269i
\(546\) 12.9023 + 21.4855i 0.552167 + 0.919493i
\(547\) 0.536468 + 0.162736i 0.0229377 + 0.00695808i 0.301733 0.953393i \(-0.402435\pi\)
−0.278795 + 0.960351i \(0.589935\pi\)
\(548\) 12.3542 40.9727i 0.527746 1.75027i
\(549\) −11.7896 1.16118i −0.503169 0.0495578i
\(550\) 0.484131 0.121698i 0.0206434 0.00518924i
\(551\) 0.606091 + 0.120559i 0.0258203 + 0.00513598i
\(552\) 6.47963 + 3.04479i 0.275791 + 0.129595i
\(553\) −5.73908 28.8523i −0.244051 1.22693i
\(554\) 29.7294 + 10.6093i 1.26308 + 0.450748i
\(555\) −12.8933 6.89161i −0.547290 0.292532i
\(556\) −20.2568 + 13.5842i −0.859080 + 0.576097i
\(557\) 38.0488 3.74748i 1.61218 0.158786i 0.748609 0.663012i \(-0.230722\pi\)
0.863572 + 0.504226i \(0.168222\pi\)
\(558\) −2.18767 6.09806i −0.0926114 0.258152i
\(559\) 24.3834 + 58.8667i 1.03131 + 2.48979i
\(560\) 28.9344 8.88283i 1.22270 0.375368i
\(561\) 1.25290 3.02476i 0.0528973 0.127705i
\(562\) 33.7327 + 1.62894i 1.42293 + 0.0687126i
\(563\) −11.3661 + 13.8496i −0.479024 + 0.583692i −0.955313 0.295597i \(-0.904482\pi\)
0.476289 + 0.879289i \(0.341982\pi\)
\(564\) 16.7515 + 6.90592i 0.705364 + 0.290792i
\(565\) −3.93012 12.9559i −0.165342 0.545058i
\(566\) −33.6653 + 1.68206i −1.41506 + 0.0707023i
\(567\) −2.68193 1.79201i −0.112630 0.0752573i
\(568\) 18.8274 31.5908i 0.789979 1.32552i
\(569\) 21.0623 + 31.5220i 0.882979 + 1.32147i 0.946237 + 0.323474i \(0.104851\pi\)
−0.0632580 + 0.997997i \(0.520149\pi\)
\(570\) 1.31018 + 0.193229i 0.0548775 + 0.00809347i
\(571\) −0.0581427 + 0.0477165i −0.00243320 + 0.00199687i −0.635609 0.772011i \(-0.719251\pi\)
0.633176 + 0.774008i \(0.281751\pi\)
\(572\) 7.67078 + 0.742568i 0.320731 + 0.0310483i
\(573\) 7.55381 + 14.1322i 0.315565 + 0.590380i
\(574\) −17.0493 + 23.0285i −0.711625 + 0.961192i
\(575\) 1.27392i 0.0531263i
\(576\) 2.36062 + 7.64379i 0.0983590 + 0.318491i
\(577\) 32.0792i 1.33547i 0.744397 + 0.667737i \(0.232737\pi\)
−0.744397 + 0.667737i \(0.767263\pi\)
\(578\) 5.44533 + 4.03148i 0.226496 + 0.167688i
\(579\) 8.13702 + 15.2233i 0.338163 + 0.632658i
\(580\) 5.60680 4.61708i 0.232810 0.191714i
\(581\) 5.47429 4.49264i 0.227112 0.186386i
\(582\) −0.779728 + 5.28693i −0.0323208 + 0.219150i
\(583\) 3.29625 + 4.93319i 0.136517 + 0.204312i
\(584\) −2.01349 + 13.8122i −0.0833187 + 0.571553i
\(585\) 10.7165 + 7.16055i 0.443073 + 0.296052i
\(586\) 1.76075 + 35.2403i 0.0727360 + 1.45576i
\(587\) 1.57200 + 5.18218i 0.0648833 + 0.213892i 0.983387 0.181520i \(-0.0581018\pi\)
−0.918504 + 0.395412i \(0.870602\pi\)
\(588\) 2.61585 + 6.28549i 0.107876 + 0.259209i
\(589\) −1.16012 + 1.41361i −0.0478019 + 0.0582468i
\(590\) −0.516317 + 10.6921i −0.0212564 + 0.440187i
\(591\) 6.45567 15.5854i 0.265551 0.641096i
\(592\) −21.9449 + 11.8242i −0.901930 + 0.485973i
\(593\) −8.01882 19.3592i −0.329294 0.794985i −0.998645 0.0520392i \(-0.983428\pi\)
0.669351 0.742946i \(-0.266572\pi\)
\(594\) −0.933607 + 0.334930i −0.0383064 + 0.0137423i
\(595\) −35.1522 + 3.46219i −1.44110 + 0.141936i
\(596\) −4.66267 + 23.6472i −0.190990 + 0.968628i
\(597\) −8.83639 4.72315i −0.361649 0.193306i
\(598\) 6.61017 18.5230i 0.270310 0.757460i
\(599\) 3.16214 + 15.8971i 0.129201 + 0.649539i 0.990054 + 0.140685i \(0.0449306\pi\)
−0.860853 + 0.508854i \(0.830069\pi\)
\(600\) 1.05235 0.958610i 0.0429620 0.0391351i
\(601\) −21.9914 4.37437i −0.897049 0.178434i −0.275030 0.961436i \(-0.588688\pi\)
−0.622020 + 0.783002i \(0.713688\pi\)
\(602\) 12.8970 + 51.3060i 0.525644 + 2.09108i
\(603\) −14.4607 1.42426i −0.588887 0.0580003i
\(604\) 18.5318 9.94527i 0.754046 0.404667i
\(605\) −23.5896 7.15582i −0.959053 0.290925i
\(606\) 9.93538 5.96632i 0.403597 0.242365i
\(607\) −11.6521 + 11.6521i −0.472943 + 0.472943i −0.902866 0.429923i \(-0.858541\pi\)
0.429923 + 0.902866i \(0.358541\pi\)
\(608\) 1.50948 1.67950i 0.0612176 0.0681127i
\(609\) 3.53079 + 3.53079i 0.143075 + 0.143075i
\(610\) 38.1328 + 9.51792i 1.54395 + 0.385369i
\(611\) 14.4487 47.6309i 0.584531 1.92694i
\(612\) −0.930622 9.28964i −0.0376182 0.375511i
\(613\) −3.19992 + 32.4893i −0.129243 + 1.31223i 0.683647 + 0.729813i \(0.260393\pi\)
−0.812890 + 0.582417i \(0.802107\pi\)
\(614\) −22.2975 13.3393i −0.899855 0.538331i
\(615\) −2.87475 + 14.4524i −0.115921 + 0.582775i
\(616\) 6.21071 + 1.53917i 0.250237 + 0.0620150i
\(617\) −22.9091 + 4.55690i −0.922285 + 0.183454i −0.633324 0.773887i \(-0.718310\pi\)
−0.288961 + 0.957341i \(0.593310\pi\)
\(618\) 15.5820 7.38566i 0.626799 0.297095i
\(619\) 0.269130 0.503507i 0.0108172 0.0202376i −0.876455 0.481485i \(-0.840098\pi\)
0.887272 + 0.461247i \(0.152598\pi\)
\(620\) 4.22839 + 21.0735i 0.169816 + 0.846331i
\(621\) 0.248102 + 2.51902i 0.00995600 + 0.101085i
\(622\) 5.74176 12.1662i 0.230224 0.487821i
\(623\) −0.0246178 + 0.0101970i −0.000986291 + 0.000408535i
\(624\) 20.2753 8.47779i 0.811662 0.339383i
\(625\) 25.1879 + 10.4331i 1.00751 + 0.417326i
\(626\) 6.72917 6.10921i 0.268952 0.244173i
\(627\) 0.216423 + 0.177613i 0.00864308 + 0.00709319i
\(628\) −0.0799096 47.8322i −0.00318874 1.90871i
\(629\) 27.8384 8.44470i 1.10999 0.336712i
\(630\) 7.93497 + 7.17977i 0.316137 + 0.286049i
\(631\) 10.2231 15.3000i 0.406977 0.609084i −0.570202 0.821505i \(-0.693135\pi\)
0.977178 + 0.212421i \(0.0681349\pi\)
\(632\) −25.7616 + 1.33031i −1.02474 + 0.0529167i
\(633\) −1.69412 + 1.13197i −0.0673352 + 0.0449919i
\(634\) −34.0811 + 25.3205i −1.35354 + 1.00560i
\(635\) −4.18691 5.10177i −0.166153 0.202457i
\(636\) 14.9345 + 7.95059i 0.592190 + 0.315261i
\(637\) 16.4938 8.81612i 0.653508 0.349308i
\(638\) 1.51865 0.226568i 0.0601241 0.00896990i
\(639\) 13.0022 0.514357
\(640\) −4.04780 26.2304i −0.160004 1.03685i
\(641\) −35.0911 −1.38601 −0.693007 0.720931i \(-0.743715\pi\)
−0.693007 + 0.720931i \(0.743715\pi\)
\(642\) 0.817061 0.121897i 0.0322468 0.00481089i
\(643\) −23.6466 + 12.6394i −0.932531 + 0.498448i −0.866393 0.499362i \(-0.833568\pi\)
−0.0661376 + 0.997811i \(0.521068\pi\)
\(644\) 7.67337 14.4137i 0.302373 0.567981i
\(645\) 17.2595 + 21.0307i 0.679591 + 0.828084i
\(646\) −2.11538 + 1.57162i −0.0832286 + 0.0618344i
\(647\) −22.2242 + 14.8497i −0.873724 + 0.583804i −0.909569 0.415554i \(-0.863588\pi\)
0.0358448 + 0.999357i \(0.488588\pi\)
\(648\) −1.89420 + 2.10048i −0.0744111 + 0.0825146i
\(649\) −1.25725 + 1.88160i −0.0493512 + 0.0738593i
\(650\) −2.89964 2.62367i −0.113733 0.102909i
\(651\) −14.1401 + 4.28935i −0.554194 + 0.168113i
\(652\) −44.2810 + 0.0739770i −1.73418 + 0.00289716i
\(653\) 0.144288 + 0.118414i 0.00564643 + 0.00463390i 0.637212 0.770688i \(-0.280087\pi\)
−0.631566 + 0.775322i \(0.717587\pi\)
\(654\) −8.40345 + 7.62924i −0.328601 + 0.298327i
\(655\) −42.1868 17.4743i −1.64837 0.682779i
\(656\) 17.8256 + 17.7069i 0.695974 + 0.691338i
\(657\) −4.55932 + 1.88853i −0.177876 + 0.0736786i
\(658\) 17.6380 37.3731i 0.687599 1.45695i
\(659\) 1.45005 + 14.7226i 0.0564859 + 0.573511i 0.981219 + 0.192896i \(0.0617879\pi\)
−0.924733 + 0.380616i \(0.875712\pi\)
\(660\) 3.22633 0.647362i 0.125585 0.0251985i
\(661\) −14.1375 + 26.4493i −0.549884 + 1.02876i 0.441437 + 0.897292i \(0.354469\pi\)
−0.991320 + 0.131467i \(0.958031\pi\)
\(662\) 23.5379 11.1567i 0.914826 0.433616i
\(663\) −25.1540 + 5.00344i −0.976901 + 0.194318i
\(664\) −3.20588 5.31842i −0.124412 0.206395i
\(665\) 0.589286 2.96254i 0.0228515 0.114882i
\(666\) −7.56319 4.52462i −0.293068 0.175325i
\(667\) 0.384075 3.89958i 0.0148714 0.150992i
\(668\) 19.0462 1.90802i 0.736921 0.0738237i
\(669\) −2.17462 + 7.16877i −0.0840758 + 0.277161i
\(670\) 46.7723 + 11.6743i 1.80697 + 0.451019i
\(671\) 5.87516 + 5.87516i 0.226808 + 0.226808i
\(672\) 17.6809 4.50739i 0.682054 0.173876i
\(673\) 17.6711 17.6711i 0.681170 0.681170i −0.279094 0.960264i \(-0.590034\pi\)
0.960264 + 0.279094i \(0.0900341\pi\)
\(674\) −25.2497 + 15.1628i −0.972583 + 0.584049i
\(675\) 0.481615 + 0.146096i 0.0185374 + 0.00562325i
\(676\) −16.2526 30.2847i −0.625100 1.16480i
\(677\) 1.06133 + 0.104532i 0.0407903 + 0.00401750i 0.118392 0.992967i \(-0.462226\pi\)
−0.0776014 + 0.996984i \(0.524726\pi\)
\(678\) −1.98977 7.91554i −0.0764166 0.303995i
\(679\) 11.9546 + 2.37792i 0.458776 + 0.0912562i
\(680\) −1.44228 + 30.9401i −0.0553088 + 1.18650i
\(681\) −0.467058 2.34806i −0.0178977 0.0899777i
\(682\) −1.52719 + 4.27947i −0.0584790 + 0.163869i
\(683\) 13.2134 + 7.06272i 0.505598 + 0.270248i 0.704414 0.709789i \(-0.251210\pi\)
−0.198817 + 0.980037i \(0.563710\pi\)
\(684\) 0.783296 + 0.154447i 0.0299501 + 0.00590544i
\(685\) −49.9545 + 4.92009i −1.90866 + 0.187987i
\(686\) −15.4398 + 5.53900i −0.589494 + 0.211480i
\(687\) −4.37162 10.5540i −0.166788 0.402662i
\(688\) 46.1505 4.70117i 1.75947 0.179230i
\(689\) 17.7860 42.9392i 0.677593 1.63585i
\(690\) 0.405044 8.38782i 0.0154198 0.319319i
\(691\) −9.61358 + 11.7142i −0.365718 + 0.445628i −0.923061 0.384654i \(-0.874321\pi\)
0.557343 + 0.830282i \(0.311821\pi\)
\(692\) 9.59984 3.99519i 0.364931 0.151874i
\(693\) 0.656695 + 2.16483i 0.0249458 + 0.0822352i
\(694\) −0.989457 19.8033i −0.0375593 0.751724i
\(695\) 23.7869 + 15.8939i 0.902289 + 0.602890i
\(696\) 3.51034 2.61710i 0.133059 0.0992011i
\(697\) −16.2903 24.3802i −0.617040 0.923465i
\(698\) 5.80132 39.3357i 0.219583 1.48888i
\(699\) 4.06514 3.33617i 0.153758 0.126186i
\(700\) −2.06389 2.50631i −0.0780078 0.0947296i
\(701\) −9.57136 17.9068i −0.361505 0.676329i 0.633759 0.773530i \(-0.281511\pi\)
−0.995265 + 0.0972014i \(0.969011\pi\)
\(702\) 6.24465 + 4.62326i 0.235689 + 0.174494i
\(703\) 2.48772i 0.0938261i
\(704\) 2.12117 5.19444i 0.0799447 0.195773i
\(705\) 21.2529i 0.800432i
\(706\) −20.6256 + 27.8590i −0.776255 + 1.04849i
\(707\) −12.4602 23.3114i −0.468614 0.876715i
\(708\) −0.621791 + 6.42314i −0.0233683 + 0.241396i
\(709\) −8.90694 + 7.30974i −0.334507 + 0.274523i −0.786619 0.617438i \(-0.788171\pi\)
0.452112 + 0.891961i \(0.350671\pi\)
\(710\) −42.6745 6.29374i −1.60155 0.236200i
\(711\) −5.06693 7.58319i −0.190025 0.284392i
\(712\) 0.00573417 + 0.0226511i 0.000214897 + 0.000848886i
\(713\) 9.64143 + 6.44219i 0.361074 + 0.241262i
\(714\) −21.2673 + 1.06260i −0.795907 + 0.0397669i
\(715\) −2.62404 8.65029i −0.0981334 0.323503i
\(716\) −1.80438 + 4.37682i −0.0674328 + 0.163569i
\(717\) −18.5776 + 22.6368i −0.693792 + 0.845387i
\(718\) −17.6989 0.854672i −0.660517 0.0318961i
\(719\) 6.59462 15.9208i 0.245938 0.593747i −0.751914 0.659262i \(-0.770869\pi\)
0.997852 + 0.0655149i \(0.0208690\pi\)
\(720\) 7.23372 5.97712i 0.269585 0.222754i
\(721\) −15.0507 36.3356i −0.560518 1.35321i
\(722\) 8.99728 + 25.0797i 0.334844 + 0.933368i
\(723\) 19.2661 1.89754i 0.716513 0.0705704i
\(724\) −11.4688 17.1023i −0.426233 0.635602i
\(725\) −0.687116 0.367271i −0.0255188 0.0136401i
\(726\) −13.9962 4.99473i −0.519447 0.185372i
\(727\) −5.00553 25.1645i −0.185645 0.933300i −0.955480 0.295057i \(-0.904661\pi\)
0.769835 0.638243i \(-0.220339\pi\)
\(728\) −17.0043 47.1511i −0.630223 1.74754i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) 15.8783 3.99142i 0.587684 0.147729i
\(731\) −53.8764 5.30636i −1.99269 0.196263i
\(732\) 22.6846 + 6.83992i 0.838445 + 0.252811i
\(733\) 9.94750 + 3.01754i 0.367419 + 0.111455i 0.468595 0.883413i \(-0.344760\pi\)
−0.101176 + 0.994869i \(0.532260\pi\)
\(734\) 13.4898 + 22.4638i 0.497918 + 0.829154i
\(735\) 5.64665 5.64665i 0.208280 0.208280i
\(736\) −11.5364 8.48153i −0.425238 0.312633i
\(737\) 7.20626 + 7.20626i 0.265446 + 0.265446i
\(738\) −2.15124 + 8.61876i −0.0791882 + 0.317261i
\(739\) −12.1074 + 39.9129i −0.445380 + 1.46822i 0.391165 + 0.920321i \(0.372072\pi\)
−0.836544 + 0.547899i \(0.815428\pi\)
\(740\) 22.6331 + 18.5113i 0.832009 + 0.680489i
\(741\) 0.214969 2.18262i 0.00789710 0.0801806i
\(742\) 19.8108 33.1151i 0.727279 1.21569i
\(743\) 1.76824 8.88955i 0.0648705 0.326126i −0.934700 0.355438i \(-0.884332\pi\)
0.999570 + 0.0293121i \(0.00933166\pi\)
\(744\) 1.93333 + 12.8122i 0.0708793 + 0.469716i
\(745\) 27.7279 5.51543i 1.01587 0.202070i
\(746\) 9.72954 + 20.5270i 0.356224 + 0.751547i
\(747\) 1.03497 1.93630i 0.0378676 0.0708453i
\(748\) −3.62875 + 5.45049i −0.132680 + 0.199290i
\(749\) −0.184681 1.87510i −0.00674810 0.0685146i
\(750\) 13.4914 + 6.36716i 0.492635 + 0.232496i
\(751\) 5.40575 2.23914i 0.197259 0.0817072i −0.281867 0.959453i \(-0.590954\pi\)
0.479126 + 0.877746i \(0.340954\pi\)
\(752\) −30.1982 20.0321i −1.10121 0.730497i
\(753\) −9.01371 3.73360i −0.328478 0.136060i
\(754\) −8.08501 8.90547i −0.294439 0.324318i
\(755\) −19.0696 15.6500i −0.694014 0.569563i
\(756\) 4.56920 + 4.55396i 0.166180 + 0.165626i
\(757\) 9.82816 2.98134i 0.357210 0.108359i −0.106579 0.994304i \(-0.533990\pi\)
0.463789 + 0.885946i \(0.346490\pi\)
\(758\) −20.9021 + 23.1007i −0.759199 + 0.839054i
\(759\) 0.986294 1.47609i 0.0358002 0.0535788i
\(760\) −2.49611 0.886072i −0.0905433 0.0321412i
\(761\) −18.4181 + 12.3066i −0.667657 + 0.446114i −0.842654 0.538455i \(-0.819008\pi\)
0.174997 + 0.984569i \(0.444008\pi\)
\(762\) −2.37277 3.19373i −0.0859563 0.115696i
\(763\) 16.4226 + 20.0110i 0.594538 + 0.724447i
\(764\) −9.35445 30.6530i −0.338432 1.10899i
\(765\) −9.65779 + 5.16220i −0.349178 + 0.186640i
\(766\) −0.146153 0.979646i −0.00528073 0.0353960i
\(767\) 17.7271 0.640090
\(768\) −1.67464 15.9121i −0.0604285 0.574179i