Properties

Label 384.2.v.a.109.24
Level $384$
Weight $2$
Character 384.109
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 109.24
Character \(\chi\) \(=\) 384.109
Dual form 384.2.v.a.229.24

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.986134 + 1.01368i) q^{2} +(0.881921 + 0.471397i) q^{3} +(-0.0550803 + 1.99924i) q^{4} +(-0.677775 + 0.825871i) q^{5} +(0.391849 + 1.35884i) q^{6} +(1.41014 + 0.942226i) q^{7} +(-2.08090 + 1.91569i) q^{8} +(0.555570 + 0.831470i) q^{9} +O(q^{10})\) \(q+(0.986134 + 1.01368i) q^{2} +(0.881921 + 0.471397i) q^{3} +(-0.0550803 + 1.99924i) q^{4} +(-0.677775 + 0.825871i) q^{5} +(0.391849 + 1.35884i) q^{6} +(1.41014 + 0.942226i) q^{7} +(-2.08090 + 1.91569i) q^{8} +(0.555570 + 0.831470i) q^{9} +(-1.50554 + 0.127375i) q^{10} +(-1.74200 - 0.528429i) q^{11} +(-0.991012 + 1.73721i) q^{12} +(2.10024 - 1.72362i) q^{13} +(0.435475 + 2.35859i) q^{14} +(-0.987057 + 0.408853i) q^{15} +(-3.99393 - 0.220238i) q^{16} +(-1.28276 - 0.531336i) q^{17} +(-0.294975 + 1.38311i) q^{18} +(0.136658 - 1.38751i) q^{19} +(-1.61378 - 1.40053i) q^{20} +(0.799471 + 1.49571i) q^{21} +(-1.18219 - 2.28692i) q^{22} +(3.76629 + 0.749161i) q^{23} +(-2.73824 + 0.708554i) q^{24} +(0.752767 + 3.78442i) q^{25} +(3.81832 + 0.429242i) q^{26} +(0.0980171 + 0.995185i) q^{27} +(-1.96141 + 2.76731i) q^{28} +(-1.26193 - 4.16002i) q^{29} +(-1.38782 - 0.597374i) q^{30} +(0.429538 - 0.429538i) q^{31} +(-3.71530 - 4.26574i) q^{32} +(-1.28720 - 1.28720i) q^{33} +(-0.726369 - 1.82427i) q^{34} +(-1.73392 + 0.525978i) q^{35} +(-1.69291 + 1.06492i) q^{36} +(9.15947 - 0.902129i) q^{37} +(1.54125 - 1.22974i) q^{38} +(2.66476 - 0.530054i) q^{39} +(-0.171727 - 3.01696i) q^{40} +(0.0409206 - 0.205722i) q^{41} +(-0.727776 + 2.28537i) q^{42} +(0.656154 - 0.350722i) q^{43} +(1.15241 - 3.45357i) q^{44} +(-1.06324 - 0.104720i) q^{45} +(2.95466 + 4.55657i) q^{46} +(-1.66400 + 4.01725i) q^{47} +(-3.41851 - 2.07696i) q^{48} +(-1.57808 - 3.80981i) q^{49} +(-3.09384 + 4.49500i) q^{50} +(-0.880823 - 1.07329i) q^{51} +(3.33026 + 4.29383i) q^{52} +(2.99320 - 9.86727i) q^{53} +(-0.912137 + 1.08074i) q^{54} +(1.61710 - 1.08051i) q^{55} +(-4.73937 + 0.740708i) q^{56} +(0.774588 - 1.15925i) q^{57} +(2.97248 - 5.38152i) q^{58} +(-1.91727 - 1.57346i) q^{59} +(-0.763028 - 1.99589i) q^{60} +(6.69473 - 12.5250i) q^{61} +(0.858994 + 0.0118307i) q^{62} +1.69596i q^{63} +(0.660296 - 7.97270i) q^{64} +2.90276i q^{65} +(0.0354532 - 2.57416i) q^{66} +(-5.87901 + 10.9988i) q^{67} +(1.13292 - 2.53528i) q^{68} +(2.96842 + 2.43612i) q^{69} +(-2.24304 - 1.23895i) q^{70} +(-1.22937 + 1.83988i) q^{71} +(-2.74892 - 0.665908i) q^{72} +(4.58079 - 3.06079i) q^{73} +(9.94692 + 8.39512i) q^{74} +(-1.12008 + 3.69241i) q^{75} +(2.76643 + 0.349636i) q^{76} +(-1.95856 - 2.38651i) q^{77} +(3.16511 + 2.17850i) q^{78} +(2.27553 + 5.49362i) q^{79} +(2.88888 - 3.14920i) q^{80} +(-0.382683 + 0.923880i) q^{81} +(0.248889 - 0.161389i) q^{82} +(-7.02364 - 0.691768i) q^{83} +(-3.03431 + 1.51595i) q^{84} +(1.30824 - 0.699268i) q^{85} +(1.00257 + 0.319270i) q^{86} +(0.848098 - 4.26367i) q^{87} +(4.63723 - 2.23751i) q^{88} +(-14.5405 + 2.89228i) q^{89} +(-0.942344 - 1.18105i) q^{90} +(4.58568 - 0.451650i) q^{91} +(-1.70520 + 7.48846i) q^{92} +(0.581301 - 0.176336i) q^{93} +(-5.71312 + 2.27479i) q^{94} +(1.05328 + 1.05328i) q^{95} +(-1.26575 - 5.51343i) q^{96} +(7.28592 - 7.28592i) q^{97} +(2.30572 - 5.35665i) q^{98} +(-0.528429 - 1.74200i) 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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{23}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.986134 + 1.01368i 0.697302 + 0.716778i
\(3\) 0.881921 + 0.471397i 0.509177 + 0.272161i
\(4\) −0.0550803 + 1.99924i −0.0275402 + 0.999621i
\(5\) −0.677775 + 0.825871i −0.303110 + 0.369341i −0.902183 0.431354i \(-0.858036\pi\)
0.599073 + 0.800695i \(0.295536\pi\)
\(6\) 0.391849 + 1.35884i 0.159971 + 0.554745i
\(7\) 1.41014 + 0.942226i 0.532983 + 0.356128i 0.792753 0.609542i \(-0.208647\pi\)
−0.259770 + 0.965670i \(0.583647\pi\)
\(8\) −2.08090 + 1.91569i −0.735710 + 0.677297i
\(9\) 0.555570 + 0.831470i 0.185190 + 0.277157i
\(10\) −1.50554 + 0.127375i −0.476095 + 0.0402795i
\(11\) −1.74200 0.528429i −0.525232 0.159327i 0.0165237 0.999863i \(-0.494740\pi\)
−0.541755 + 0.840536i \(0.682240\pi\)
\(12\) −0.991012 + 1.73721i −0.286081 + 0.501489i
\(13\) 2.10024 1.72362i 0.582502 0.478047i −0.296390 0.955067i \(-0.595783\pi\)
0.878893 + 0.477020i \(0.158283\pi\)
\(14\) 0.435475 + 2.35859i 0.116386 + 0.630359i
\(15\) −0.987057 + 0.408853i −0.254857 + 0.105565i
\(16\) −3.99393 0.220238i −0.998483 0.0550594i
\(17\) −1.28276 0.531336i −0.311115 0.128868i 0.221662 0.975123i \(-0.428852\pi\)
−0.532777 + 0.846255i \(0.678852\pi\)
\(18\) −0.294975 + 1.38311i −0.0695262 + 0.326002i
\(19\) 0.136658 1.38751i 0.0313514 0.318316i −0.966700 0.255914i \(-0.917624\pi\)
0.998051 0.0624025i \(-0.0198762\pi\)
\(20\) −1.61378 1.40053i −0.360853 0.313167i
\(21\) 0.799471 + 1.49571i 0.174459 + 0.326390i
\(22\) −1.18219 2.28692i −0.252043 0.487574i
\(23\) 3.76629 + 0.749161i 0.785326 + 0.156211i 0.571436 0.820647i \(-0.306387\pi\)
0.213890 + 0.976858i \(0.431387\pi\)
\(24\) −2.73824 + 0.708554i −0.558941 + 0.144633i
\(25\) 0.752767 + 3.78442i 0.150553 + 0.756883i
\(26\) 3.81832 + 0.429242i 0.748834 + 0.0841813i
\(27\) 0.0980171 + 0.995185i 0.0188634 + 0.191523i
\(28\) −1.96141 + 2.76731i −0.370671 + 0.522973i
\(29\) −1.26193 4.16002i −0.234334 0.772496i −0.992694 0.120660i \(-0.961499\pi\)
0.758360 0.651836i \(-0.226001\pi\)
\(30\) −1.38782 0.597374i −0.253379 0.109065i
\(31\) 0.429538 0.429538i 0.0771473 0.0771473i −0.667480 0.744628i \(-0.732627\pi\)
0.744628 + 0.667480i \(0.232627\pi\)
\(32\) −3.71530 4.26574i −0.656779 0.754083i
\(33\) −1.28720 1.28720i −0.224073 0.224073i
\(34\) −0.726369 1.82427i −0.124571 0.312860i
\(35\) −1.73392 + 0.525978i −0.293085 + 0.0889065i
\(36\) −1.69291 + 1.06492i −0.282152 + 0.177487i
\(37\) 9.15947 0.902129i 1.50581 0.148309i 0.688806 0.724946i \(-0.258135\pi\)
0.817001 + 0.576637i \(0.195635\pi\)
\(38\) 1.54125 1.22974i 0.250023 0.199490i
\(39\) 2.66476 0.530054i 0.426703 0.0848765i
\(40\) −0.171727 3.01696i −0.0271525 0.477023i
\(41\) 0.0409206 0.205722i 0.00639073 0.0321283i −0.977458 0.211128i \(-0.932286\pi\)
0.983849 + 0.179000i \(0.0572862\pi\)
\(42\) −0.727776 + 2.28537i −0.112298 + 0.352640i
\(43\) 0.656154 0.350722i 0.100063 0.0534846i −0.420606 0.907243i \(-0.638183\pi\)
0.520669 + 0.853759i \(0.325683\pi\)
\(44\) 1.15241 3.45357i 0.173732 0.520645i
\(45\) −1.06324 0.104720i −0.158498 0.0156107i
\(46\) 2.95466 + 4.55657i 0.435640 + 0.671830i
\(47\) −1.66400 + 4.01725i −0.242719 + 0.585977i −0.997551 0.0699421i \(-0.977719\pi\)
0.754832 + 0.655919i \(0.227719\pi\)
\(48\) −3.41851 2.07696i −0.493420 0.299783i
\(49\) −1.57808 3.80981i −0.225439 0.544259i
\(50\) −3.09384 + 4.49500i −0.437536 + 0.635689i
\(51\) −0.880823 1.07329i −0.123340 0.150290i
\(52\) 3.33026 + 4.29383i 0.461824 + 0.595447i
\(53\) 2.99320 9.86727i 0.411148 1.35537i −0.470055 0.882637i \(-0.655766\pi\)
0.881203 0.472737i \(-0.156734\pi\)
\(54\) −0.912137 + 1.08074i −0.124126 + 0.147070i
\(55\) 1.61710 1.08051i 0.218049 0.145696i
\(56\) −4.73937 + 0.740708i −0.633325 + 0.0989813i
\(57\) 0.774588 1.15925i 0.102597 0.153547i
\(58\) 2.97248 5.38152i 0.390306 0.706628i
\(59\) −1.91727 1.57346i −0.249607 0.204848i 0.501267 0.865293i \(-0.332868\pi\)
−0.750874 + 0.660445i \(0.770368\pi\)
\(60\) −0.763028 1.99589i −0.0985064 0.257668i
\(61\) 6.69473 12.5250i 0.857172 1.60366i 0.0613567 0.998116i \(-0.480457\pi\)
0.795815 0.605540i \(-0.207043\pi\)
\(62\) 0.858994 + 0.0118307i 0.109092 + 0.00150250i
\(63\) 1.69596i 0.213671i
\(64\) 0.660296 7.97270i 0.0825369 0.996588i
\(65\) 2.90276i 0.360043i
\(66\) 0.0354532 2.57416i 0.00436398 0.316858i
\(67\) −5.87901 + 10.9988i −0.718235 + 1.34372i 0.212185 + 0.977229i \(0.431942\pi\)
−0.930420 + 0.366494i \(0.880558\pi\)
\(68\) 1.13292 2.53528i 0.137387 0.307448i
\(69\) 2.96842 + 2.43612i 0.357356 + 0.293274i
\(70\) −2.24304 1.23895i −0.268095 0.148082i
\(71\) −1.22937 + 1.83988i −0.145899 + 0.218354i −0.897220 0.441583i \(-0.854417\pi\)
0.751321 + 0.659937i \(0.229417\pi\)
\(72\) −2.74892 0.665908i −0.323963 0.0784780i
\(73\) 4.58079 3.06079i 0.536141 0.358238i −0.257833 0.966190i \(-0.583008\pi\)
0.793974 + 0.607951i \(0.208008\pi\)
\(74\) 9.94692 + 8.39512i 1.15631 + 0.975912i
\(75\) −1.12008 + 3.69241i −0.129336 + 0.426363i
\(76\) 2.76643 + 0.349636i 0.317332 + 0.0401060i
\(77\) −1.95856 2.38651i −0.223199 0.271968i
\(78\) 3.16511 + 2.17850i 0.358378 + 0.246667i
\(79\) 2.27553 + 5.49362i 0.256017 + 0.618080i 0.998668 0.0515989i \(-0.0164317\pi\)
−0.742651 + 0.669679i \(0.766432\pi\)
\(80\) 2.88888 3.14920i 0.322986 0.352092i
\(81\) −0.382683 + 0.923880i −0.0425204 + 0.102653i
\(82\) 0.248889 0.161389i 0.0274851 0.0178224i
\(83\) −7.02364 0.691768i −0.770945 0.0759314i −0.295107 0.955464i \(-0.595355\pi\)
−0.475838 + 0.879533i \(0.657855\pi\)
\(84\) −3.03431 + 1.51595i −0.331070 + 0.165404i
\(85\) 1.30824 0.699268i 0.141898 0.0758462i
\(86\) 1.00257 + 0.319270i 0.108110 + 0.0344277i
\(87\) 0.848098 4.26367i 0.0909256 0.457114i
\(88\) 4.63723 2.23751i 0.494330 0.238519i
\(89\) −14.5405 + 2.89228i −1.54129 + 0.306581i −0.891318 0.453379i \(-0.850218\pi\)
−0.649969 + 0.759960i \(0.725218\pi\)
\(90\) −0.942344 1.18105i −0.0993317 0.124493i
\(91\) 4.58568 0.451650i 0.480710 0.0473458i
\(92\) −1.70520 + 7.48846i −0.177780 + 0.780726i
\(93\) 0.581301 0.176336i 0.0602781 0.0182852i
\(94\) −5.71312 + 2.27479i −0.589264 + 0.234627i
\(95\) 1.05328 + 1.05328i 0.108064 + 0.108064i
\(96\) −1.26575 5.51343i −0.129185 0.562712i
\(97\) 7.28592 7.28592i 0.739773 0.739773i −0.232761 0.972534i \(-0.574776\pi\)
0.972534 + 0.232761i \(0.0747760\pi\)
\(98\) 2.30572 5.35665i 0.232913 0.541103i
\(99\) −0.528429 1.74200i −0.0531091 0.175077i
\(100\) −7.60742 + 1.29652i −0.760742 + 0.129652i
\(101\) 0.538531 + 5.46779i 0.0535858 + 0.544066i 0.984076 + 0.177749i \(0.0568815\pi\)
−0.930490 + 0.366317i \(0.880619\pi\)
\(102\) 0.219355 1.95127i 0.0217194 0.193205i
\(103\) −0.0250551 0.125960i −0.00246875 0.0124112i 0.979531 0.201292i \(-0.0645140\pi\)
−0.982000 + 0.188881i \(0.939514\pi\)
\(104\) −1.06847 + 7.61010i −0.104772 + 0.746231i
\(105\) −1.77712 0.353491i −0.173429 0.0344972i
\(106\) 12.9539 6.69631i 1.25820 0.650403i
\(107\) 0.337680 + 0.631756i 0.0326448 + 0.0610741i 0.897715 0.440577i \(-0.145226\pi\)
−0.865070 + 0.501651i \(0.832726\pi\)
\(108\) −1.99501 + 0.141145i −0.191970 + 0.0135817i
\(109\) 0.714761 7.25709i 0.0684617 0.695103i −0.898293 0.439397i \(-0.855192\pi\)
0.966755 0.255706i \(-0.0823080\pi\)
\(110\) 2.68996 + 0.573686i 0.256478 + 0.0546988i
\(111\) 8.50319 + 3.52214i 0.807087 + 0.334306i
\(112\) −5.42449 4.07375i −0.512566 0.384934i
\(113\) −4.43091 + 1.83534i −0.416825 + 0.172655i −0.581232 0.813738i \(-0.697429\pi\)
0.164407 + 0.986393i \(0.447429\pi\)
\(114\) 1.93895 0.357997i 0.181600 0.0335294i
\(115\) −3.17141 + 2.60271i −0.295735 + 0.242704i
\(116\) 8.38638 2.29376i 0.778656 0.212970i
\(117\) 2.59997 + 0.788693i 0.240368 + 0.0729147i
\(118\) −0.295703 3.49514i −0.0272216 0.321754i
\(119\) −1.30823 1.95791i −0.119925 0.179481i
\(120\) 1.27074 2.74167i 0.116002 0.250279i
\(121\) −6.39085 4.27023i −0.580986 0.388203i
\(122\) 19.2981 5.56499i 1.74717 0.503831i
\(123\) 0.133065 0.162141i 0.0119981 0.0146197i
\(124\) 0.835091 + 0.882409i 0.0749934 + 0.0792427i
\(125\) −8.34680 4.46146i −0.746560 0.399045i
\(126\) −1.71916 + 1.67245i −0.153155 + 0.148993i
\(127\) −5.58316 −0.495426 −0.247713 0.968833i \(-0.579679\pi\)
−0.247713 + 0.968833i \(0.579679\pi\)
\(128\) 8.73288 7.19283i 0.771885 0.635762i
\(129\) 0.744006 0.0655060
\(130\) −2.94246 + 2.86251i −0.258071 + 0.251059i
\(131\) 2.91195 + 1.55647i 0.254418 + 0.135990i 0.593676 0.804704i \(-0.297676\pi\)
−0.339258 + 0.940693i \(0.610176\pi\)
\(132\) 2.64433 2.50253i 0.230159 0.217817i
\(133\) 1.50005 1.82782i 0.130071 0.158492i
\(134\) −16.9468 + 4.88692i −1.46398 + 0.422166i
\(135\) −0.888328 0.593562i −0.0764551 0.0510857i
\(136\) 3.68717 1.35171i 0.316172 0.115908i
\(137\) 11.1772 + 16.7278i 0.954931 + 1.42916i 0.902578 + 0.430527i \(0.141672\pi\)
0.0523532 + 0.998629i \(0.483328\pi\)
\(138\) 0.457822 + 5.41135i 0.0389724 + 0.460645i
\(139\) −2.98195 0.904564i −0.252925 0.0767241i 0.161276 0.986909i \(-0.448439\pi\)
−0.414201 + 0.910185i \(0.635939\pi\)
\(140\) −0.956052 3.49549i −0.0808011 0.295423i
\(141\) −3.36124 + 2.75850i −0.283067 + 0.232307i
\(142\) −3.07737 + 0.568187i −0.258247 + 0.0476812i
\(143\) −4.56943 + 1.89272i −0.382115 + 0.158277i
\(144\) −2.03579 3.44319i −0.169649 0.286933i
\(145\) 4.29094 + 1.77737i 0.356343 + 0.147602i
\(146\) 7.61992 + 1.62510i 0.630629 + 0.134494i
\(147\) 0.404195 4.10386i 0.0333374 0.338480i
\(148\) 1.29907 + 18.3617i 0.106783 + 1.50932i
\(149\) −2.09750 3.92414i −0.171834 0.321478i 0.781233 0.624240i \(-0.214591\pi\)
−0.953066 + 0.302762i \(0.902091\pi\)
\(150\) −4.84746 + 2.50581i −0.395793 + 0.204599i
\(151\) 5.82458 + 1.15858i 0.473997 + 0.0942839i 0.426308 0.904578i \(-0.359814\pi\)
0.0476897 + 0.998862i \(0.484814\pi\)
\(152\) 2.37366 + 3.14906i 0.192529 + 0.255422i
\(153\) −0.270873 1.36177i −0.0218988 0.110093i
\(154\) 0.487750 4.33877i 0.0393040 0.349628i
\(155\) 0.0636130 + 0.645873i 0.00510952 + 0.0518778i
\(156\) 0.912929 + 5.35669i 0.0730928 + 0.428879i
\(157\) −2.30349 7.59359i −0.183839 0.606034i −0.999617 0.0276700i \(-0.991191\pi\)
0.815779 0.578364i \(-0.196309\pi\)
\(158\) −3.32477 + 7.72409i −0.264505 + 0.614496i
\(159\) 7.29117 7.29117i 0.578227 0.578227i
\(160\) 6.04109 0.177149i 0.477590 0.0140049i
\(161\) 4.60512 + 4.60512i 0.362934 + 0.362934i
\(162\) −1.31389 + 0.523152i −0.103229 + 0.0411027i
\(163\) −21.7001 + 6.58266i −1.69969 + 0.515594i −0.983282 0.182091i \(-0.941713\pi\)
−0.716404 + 0.697685i \(0.754213\pi\)
\(164\) 0.409034 + 0.0931414i 0.0319402 + 0.00727312i
\(165\) 1.93550 0.190630i 0.150678 0.0148405i
\(166\) −6.22502 7.80188i −0.483155 0.605543i
\(167\) 0.379987 0.0755842i 0.0294043 0.00584888i −0.180366 0.983600i \(-0.557728\pi\)
0.209771 + 0.977751i \(0.432728\pi\)
\(168\) −4.52892 1.58088i −0.349414 0.121967i
\(169\) −1.09604 + 5.51015i −0.0843106 + 0.423858i
\(170\) 1.99893 + 0.636559i 0.153311 + 0.0488218i
\(171\) 1.22959 0.657231i 0.0940293 0.0502597i
\(172\) 0.665036 + 1.33113i 0.0507085 + 0.101498i
\(173\) −13.1260 1.29280i −0.997952 0.0982897i −0.414169 0.910200i \(-0.635928\pi\)
−0.583782 + 0.811910i \(0.698428\pi\)
\(174\) 5.15833 3.34486i 0.391052 0.253573i
\(175\) −2.50427 + 6.04584i −0.189305 + 0.457022i
\(176\) 6.84104 + 2.49416i 0.515662 + 0.188005i
\(177\) −0.949157 2.29147i −0.0713430 0.172237i
\(178\) −17.2707 11.8872i −1.29449 0.890980i
\(179\) −7.86075 9.57836i −0.587540 0.715920i 0.391365 0.920236i \(-0.372003\pi\)
−0.978905 + 0.204316i \(0.934503\pi\)
\(180\) 0.267924 2.11990i 0.0199699 0.158008i
\(181\) −1.58944 + 5.23969i −0.118142 + 0.389463i −0.995989 0.0894792i \(-0.971480\pi\)
0.877846 + 0.478942i \(0.158980\pi\)
\(182\) 4.97992 + 4.20301i 0.369136 + 0.311548i
\(183\) 11.8084 7.89015i 0.872905 0.583257i
\(184\) −9.27243 + 5.65610i −0.683573 + 0.416973i
\(185\) −5.46302 + 8.17598i −0.401649 + 0.601110i
\(186\) 0.751988 + 0.415361i 0.0551385 + 0.0304557i
\(187\) 1.95379 + 1.60343i 0.142875 + 0.117255i
\(188\) −7.93980 3.54801i −0.579070 0.258765i
\(189\) −0.799471 + 1.49571i −0.0581530 + 0.108797i
\(190\) −0.0290102 + 2.10636i −0.00210462 + 0.152811i
\(191\) 24.9554i 1.80571i 0.429943 + 0.902856i \(0.358534\pi\)
−0.429943 + 0.902856i \(0.641466\pi\)
\(192\) 4.34064 6.72004i 0.313258 0.484977i
\(193\) 4.07046i 0.292998i 0.989211 + 0.146499i \(0.0468006\pi\)
−0.989211 + 0.146499i \(0.953199\pi\)
\(194\) 14.5705 + 0.200674i 1.04610 + 0.0144076i
\(195\) −1.36835 + 2.56001i −0.0979897 + 0.183326i
\(196\) 7.70366 2.94511i 0.550261 0.210365i
\(197\) −10.1042 8.29227i −0.719892 0.590800i 0.201475 0.979494i \(-0.435426\pi\)
−0.921367 + 0.388694i \(0.872926\pi\)
\(198\) 1.24472 2.25350i 0.0884584 0.160149i
\(199\) −9.53553 + 14.2709i −0.675956 + 1.01164i 0.321937 + 0.946761i \(0.395666\pi\)
−0.997893 + 0.0648784i \(0.979334\pi\)
\(200\) −8.81619 6.43293i −0.623398 0.454877i
\(201\) −10.3696 + 6.92877i −0.731418 + 0.488718i
\(202\) −5.01151 + 5.93787i −0.352609 + 0.417787i
\(203\) 2.14018 7.05523i 0.150211 0.495180i
\(204\) 2.19427 1.70186i 0.153630 0.119154i
\(205\) 0.142165 + 0.173228i 0.00992922 + 0.0120988i
\(206\) 0.102975 0.149612i 0.00717464 0.0104239i
\(207\) 1.46953 + 3.54777i 0.102140 + 0.246587i
\(208\) −8.76783 + 6.42149i −0.607940 + 0.445250i
\(209\) −0.971256 + 2.34482i −0.0671832 + 0.162195i
\(210\) −1.39415 2.15002i −0.0962057 0.148365i
\(211\) −23.3461 2.29939i −1.60721 0.158296i −0.745787 0.666184i \(-0.767926\pi\)
−0.861423 + 0.507888i \(0.830426\pi\)
\(212\) 19.5622 + 6.52763i 1.34354 + 0.448320i
\(213\) −1.95152 + 1.04311i −0.133716 + 0.0714728i
\(214\) −0.307398 + 0.965294i −0.0210133 + 0.0659861i
\(215\) −0.155074 + 0.779610i −0.0105760 + 0.0531689i
\(216\) −2.11043 1.88311i −0.143596 0.128129i
\(217\) 1.01043 0.200987i 0.0685925 0.0136439i
\(218\) 8.06120 6.43193i 0.545973 0.435625i
\(219\) 5.48275 0.540003i 0.370490 0.0364900i
\(220\) 2.07113 + 3.29248i 0.139635 + 0.221979i
\(221\) −3.60993 + 1.09506i −0.242830 + 0.0736617i
\(222\) 4.81497 + 12.0928i 0.323160 + 0.811614i
\(223\) 6.80299 + 6.80299i 0.455562 + 0.455562i 0.897195 0.441634i \(-0.145601\pi\)
−0.441634 + 0.897195i \(0.645601\pi\)
\(224\) −1.21981 9.51595i −0.0815019 0.635811i
\(225\) −2.72841 + 2.72841i −0.181894 + 0.181894i
\(226\) −6.22991 2.68162i −0.414408 0.178378i
\(227\) −2.08805 6.88337i −0.138589 0.456865i 0.859981 0.510325i \(-0.170475\pi\)
−0.998570 + 0.0534601i \(0.982975\pi\)
\(228\) 2.27496 + 1.61244i 0.150663 + 0.106786i
\(229\) 1.28708 + 13.0680i 0.0850528 + 0.863556i 0.939165 + 0.343467i \(0.111601\pi\)
−0.854112 + 0.520089i \(0.825899\pi\)
\(230\) −5.76574 0.648164i −0.380181 0.0427387i
\(231\) −0.602302 3.02798i −0.0396286 0.199226i
\(232\) 10.5952 + 6.23912i 0.695611 + 0.409619i
\(233\) −8.92830 1.77595i −0.584913 0.116346i −0.106241 0.994340i \(-0.533882\pi\)
−0.478672 + 0.877994i \(0.658882\pi\)
\(234\) 1.76444 + 3.41329i 0.115345 + 0.223134i
\(235\) −2.18992 4.09704i −0.142854 0.267262i
\(236\) 3.25134 3.74642i 0.211644 0.243871i
\(237\) −0.582834 + 5.91761i −0.0378591 + 0.384390i
\(238\) 0.694594 3.25688i 0.0450238 0.211112i
\(239\) −11.6520 4.82641i −0.753705 0.312195i −0.0274527 0.999623i \(-0.508740\pi\)
−0.726252 + 0.687428i \(0.758740\pi\)
\(240\) 4.03229 1.41554i 0.260283 0.0913729i
\(241\) −13.0308 + 5.39755i −0.839390 + 0.347687i −0.760613 0.649206i \(-0.775101\pi\)
−0.0787770 + 0.996892i \(0.525101\pi\)
\(242\) −1.97360 10.6893i −0.126868 0.687133i
\(243\) −0.773010 + 0.634393i −0.0495886 + 0.0406963i
\(244\) 24.6717 + 14.0743i 1.57944 + 0.901012i
\(245\) 4.21600 + 1.27891i 0.269350 + 0.0817065i
\(246\) 0.295578 0.0250071i 0.0188454 0.00159439i
\(247\) −2.10453 3.14965i −0.133908 0.200407i
\(248\) −0.0709661 + 1.71669i −0.00450635 + 0.109010i
\(249\) −5.86820 3.92101i −0.371882 0.248484i
\(250\) −3.70859 12.8605i −0.234552 0.813372i
\(251\) 16.4905 20.0937i 1.04087 1.26830i 0.0783966 0.996922i \(-0.475020\pi\)
0.962472 0.271380i \(-0.0874800\pi\)
\(252\) −3.39064 0.0934142i −0.213590 0.00588454i
\(253\) −6.16498 3.29525i −0.387589 0.207171i
\(254\) −5.50575 5.65952i −0.345461 0.355110i
\(255\) 1.48340 0.0928938
\(256\) 15.9030 + 1.75923i 0.993937 + 0.109952i
\(257\) 23.9118 1.49158 0.745788 0.666184i \(-0.232073\pi\)
0.745788 + 0.666184i \(0.232073\pi\)
\(258\) 0.733689 + 0.754181i 0.0456775 + 0.0469533i
\(259\) 13.7661 + 7.35816i 0.855387 + 0.457214i
\(260\) −5.80332 0.159885i −0.359907 0.00991565i
\(261\) 2.75784 3.36044i 0.170706 0.208006i
\(262\) 1.29382 + 4.48667i 0.0799323 + 0.277187i
\(263\) −7.18426 4.80037i −0.443000 0.296003i 0.313994 0.949425i \(-0.398333\pi\)
−0.756994 + 0.653422i \(0.773333\pi\)
\(264\) 5.14442 + 0.212665i 0.316617 + 0.0130886i
\(265\) 6.12038 + 9.15980i 0.375972 + 0.562682i
\(266\) 3.33207 0.281906i 0.204302 0.0172848i
\(267\) −14.1870 4.30357i −0.868228 0.263374i
\(268\) −21.6655 12.3594i −1.32343 0.754969i
\(269\) −12.3584 + 10.1423i −0.753504 + 0.618385i −0.930697 0.365791i \(-0.880798\pi\)
0.177193 + 0.984176i \(0.443298\pi\)
\(270\) −0.274331 1.48581i −0.0166952 0.0904235i
\(271\) 20.5938 8.53022i 1.25098 0.518174i 0.343852 0.939024i \(-0.388268\pi\)
0.907130 + 0.420850i \(0.138268\pi\)
\(272\) 5.00623 + 2.40463i 0.303548 + 0.145802i
\(273\) 4.25712 + 1.76336i 0.257652 + 0.106723i
\(274\) −5.93442 + 27.8259i −0.358511 + 1.68103i
\(275\) 0.688477 6.99022i 0.0415167 0.421526i
\(276\) −5.03389 + 5.80040i −0.303004 + 0.349143i
\(277\) 13.7345 + 25.6954i 0.825226 + 1.54389i 0.839095 + 0.543985i \(0.183085\pi\)
−0.0138689 + 0.999904i \(0.504415\pi\)
\(278\) −2.02366 3.91475i −0.121371 0.234791i
\(279\) 0.595786 + 0.118509i 0.0356688 + 0.00709496i
\(280\) 2.60050 4.41615i 0.155410 0.263915i
\(281\) 1.76032 + 8.84975i 0.105012 + 0.527932i 0.997102 + 0.0760741i \(0.0242385\pi\)
−0.892090 + 0.451858i \(0.850761\pi\)
\(282\) −6.11085 0.686961i −0.363896 0.0409079i
\(283\) 1.49039 + 15.1322i 0.0885944 + 0.899514i 0.932054 + 0.362320i \(0.118015\pi\)
−0.843459 + 0.537193i \(0.819485\pi\)
\(284\) −3.61066 2.55915i −0.214253 0.151858i
\(285\) 0.432397 + 1.42542i 0.0256130 + 0.0844347i
\(286\) −6.42467 2.76545i −0.379899 0.163524i
\(287\) 0.251540 0.251540i 0.0148480 0.0148480i
\(288\) 1.48272 5.45908i 0.0873702 0.321679i
\(289\) −10.6577 10.6577i −0.626921 0.626921i
\(290\) 2.42977 + 6.10235i 0.142681 + 0.358342i
\(291\) 9.86016 2.99105i 0.578013 0.175338i
\(292\) 5.86694 + 9.32670i 0.343337 + 0.545804i
\(293\) 13.0217 1.28253i 0.760738 0.0749262i 0.289794 0.957089i \(-0.406413\pi\)
0.470944 + 0.882163i \(0.343913\pi\)
\(294\) 4.55857 3.63723i 0.265861 0.212127i
\(295\) 2.59896 0.516965i 0.151317 0.0300989i
\(296\) −17.3317 + 19.4239i −1.00739 + 1.12899i
\(297\) 0.355139 1.78540i 0.0206072 0.103600i
\(298\) 1.90940 5.99591i 0.110608 0.347334i
\(299\) 9.20139 4.91825i 0.532130 0.284430i
\(300\) −7.32032 2.44269i −0.422639 0.141029i
\(301\) 1.25573 + 0.123679i 0.0723790 + 0.00712871i
\(302\) 4.56939 + 7.04675i 0.262939 + 0.405495i
\(303\) −2.10256 + 5.07603i −0.120789 + 0.291610i
\(304\) −0.851382 + 5.51151i −0.0488301 + 0.316107i
\(305\) 5.80648 + 14.0181i 0.332478 + 0.802673i
\(306\) 1.11328 1.61747i 0.0636418 0.0924643i
\(307\) −18.4607 22.4944i −1.05361 1.28382i −0.957494 0.288453i \(-0.906859\pi\)
−0.0961130 0.995370i \(-0.530641\pi\)
\(308\) 4.87909 3.78419i 0.278012 0.215624i
\(309\) 0.0372807 0.122898i 0.00212083 0.00699143i
\(310\) −0.591976 + 0.701400i −0.0336220 + 0.0398369i
\(311\) 20.7759 13.8820i 1.17809 0.787177i 0.196942 0.980415i \(-0.436899\pi\)
0.981152 + 0.193238i \(0.0618991\pi\)
\(312\) −4.52968 + 6.20783i −0.256443 + 0.351449i
\(313\) −3.91668 + 5.86173i −0.221384 + 0.331325i −0.925491 0.378769i \(-0.876347\pi\)
0.704107 + 0.710094i \(0.251347\pi\)
\(314\) 5.42589 9.82329i 0.306201 0.554360i
\(315\) −1.40065 1.14948i −0.0789175 0.0647659i
\(316\) −11.1084 + 4.24674i −0.624896 + 0.238898i
\(317\) 11.0775 20.7245i 0.622172 1.16400i −0.351530 0.936176i \(-0.614339\pi\)
0.973702 0.227825i \(-0.0731614\pi\)
\(318\) 14.5810 + 0.200819i 0.817660 + 0.0112614i
\(319\) 7.91357i 0.443075i
\(320\) 6.13690 + 5.94902i 0.343063 + 0.332560i
\(321\) 0.716340i 0.0399822i
\(322\) −0.126838 + 9.20936i −0.00706839 + 0.513218i
\(323\) −0.912532 + 1.70723i −0.0507746 + 0.0949926i
\(324\) −1.82598 0.815964i −0.101443 0.0453313i
\(325\) 8.10390 + 6.65070i 0.449524 + 0.368915i
\(326\) −28.0719 15.5055i −1.55476 0.858772i
\(327\) 4.05133 6.06325i 0.224039 0.335298i
\(328\) 0.308947 + 0.506478i 0.0170587 + 0.0279656i
\(329\) −6.13164 + 4.09703i −0.338048 + 0.225876i
\(330\) 2.10190 + 1.77398i 0.115706 + 0.0976546i
\(331\) −1.54930 + 5.10737i −0.0851574 + 0.280726i −0.989169 0.146782i \(-0.953108\pi\)
0.904011 + 0.427508i \(0.140608\pi\)
\(332\) 1.76988 14.0039i 0.0971346 0.768561i
\(333\) 5.83882 + 7.11462i 0.319965 + 0.389879i
\(334\) 0.451336 + 0.310648i 0.0246960 + 0.0169979i
\(335\) −5.09899 12.3101i −0.278588 0.672570i
\(336\) −2.86362 6.14982i −0.156223 0.335500i
\(337\) −0.160820 + 0.388254i −0.00876042 + 0.0211495i −0.928199 0.372084i \(-0.878643\pi\)
0.919439 + 0.393233i \(0.128643\pi\)
\(338\) −6.66635 + 4.32272i −0.362602 + 0.235125i
\(339\) −4.77289 0.470088i −0.259228 0.0255317i
\(340\) 1.32595 + 2.65400i 0.0719096 + 0.143933i
\(341\) −0.975234 + 0.521273i −0.0528119 + 0.0282285i
\(342\) 1.87876 + 0.598292i 0.101592 + 0.0323519i
\(343\) 3.68046 18.5029i 0.198726 0.999063i
\(344\) −0.693519 + 1.98680i −0.0373920 + 0.107121i
\(345\) −4.02384 + 0.800392i −0.216636 + 0.0430916i
\(346\) −11.6335 14.5804i −0.625422 0.783847i
\(347\) 35.3011 3.47685i 1.89506 0.186647i 0.917563 0.397591i \(-0.130154\pi\)
0.977498 + 0.210944i \(0.0676538\pi\)
\(348\) 8.47740 + 1.93040i 0.454436 + 0.103480i
\(349\) 15.7894 4.78966i 0.845186 0.256384i 0.162147 0.986767i \(-0.448158\pi\)
0.683039 + 0.730382i \(0.260658\pi\)
\(350\) −8.59807 + 3.42349i −0.459586 + 0.182993i
\(351\) 1.92118 + 1.92118i 0.102545 + 0.102545i
\(352\) 4.21790 + 9.39418i 0.224815 + 0.500711i
\(353\) 20.0365 20.0365i 1.06644 1.06644i 0.0688069 0.997630i \(-0.478081\pi\)
0.997630 0.0688069i \(-0.0219192\pi\)
\(354\) 1.38681 3.22183i 0.0737082 0.171238i
\(355\) −0.686270 2.26233i −0.0364234 0.120072i
\(356\) −4.98147 29.2292i −0.264017 1.54915i
\(357\) −0.230806 2.34342i −0.0122156 0.124027i
\(358\) 1.95760 17.4138i 0.103462 0.920348i
\(359\) −2.81218 14.1378i −0.148421 0.746165i −0.981266 0.192658i \(-0.938289\pi\)
0.832845 0.553507i \(-0.186711\pi\)
\(360\) 2.41310 1.81892i 0.127182 0.0958655i
\(361\) 16.7284 + 3.32749i 0.880443 + 0.175131i
\(362\) −6.87876 + 3.55586i −0.361539 + 0.186892i
\(363\) −3.62325 6.77863i −0.190172 0.355786i
\(364\) 0.650377 + 9.19276i 0.0340890 + 0.481832i
\(365\) −0.576930 + 5.85767i −0.0301979 + 0.306605i
\(366\) 19.6428 + 4.18920i 1.02674 + 0.218973i
\(367\) −20.5175 8.49864i −1.07101 0.443625i −0.223661 0.974667i \(-0.571801\pi\)
−0.847346 + 0.531042i \(0.821801\pi\)
\(368\) −14.8773 3.82158i −0.775533 0.199214i
\(369\) 0.193786 0.0802687i 0.0100881 0.00417862i
\(370\) −13.6751 + 2.52488i −0.710933 + 0.131262i
\(371\) 13.5180 11.0940i 0.701822 0.575970i
\(372\) 0.320520 + 1.17187i 0.0166182 + 0.0607589i
\(373\) −29.2886 8.88459i −1.51650 0.460027i −0.581167 0.813784i \(-0.697404\pi\)
−0.935337 + 0.353757i \(0.884904\pi\)
\(374\) 0.301335 + 3.56171i 0.0155816 + 0.184172i
\(375\) −5.25810 7.86931i −0.271527 0.406369i
\(376\) −4.23317 11.5472i −0.218309 0.595502i
\(377\) −9.82066 6.56195i −0.505790 0.337958i
\(378\) −2.30455 + 0.664560i −0.118533 + 0.0341813i
\(379\) 4.07833 4.96946i 0.209490 0.255264i −0.657656 0.753318i \(-0.728452\pi\)
0.867146 + 0.498054i \(0.165952\pi\)
\(380\) −2.16378 + 2.04775i −0.110999 + 0.105047i
\(381\) −4.92391 2.63189i −0.252260 0.134836i
\(382\) −25.2967 + 24.6094i −1.29429 + 1.25913i
\(383\) 31.3628 1.60256 0.801281 0.598288i \(-0.204152\pi\)
0.801281 + 0.598288i \(0.204152\pi\)
\(384\) 11.0924 2.22685i 0.566056 0.113639i
\(385\) 3.29842 0.168103
\(386\) −4.12613 + 4.01402i −0.210015 + 0.204308i
\(387\) 0.656154 + 0.350722i 0.0333542 + 0.0178282i
\(388\) 14.1650 + 14.9676i 0.719119 + 0.759866i
\(389\) −5.31838 + 6.48047i −0.269653 + 0.328573i −0.890177 0.455614i \(-0.849420\pi\)
0.620525 + 0.784187i \(0.286920\pi\)
\(390\) −3.94440 + 1.13744i −0.199732 + 0.0575966i
\(391\) −4.43319 2.96216i −0.224196 0.149803i
\(392\) 10.5822 + 4.90475i 0.534483 + 0.247727i
\(393\) 1.83440 + 2.74537i 0.0925331 + 0.138486i
\(394\) −1.55837 18.4196i −0.0785098 0.927968i
\(395\) −6.07932 1.84414i −0.305884 0.0927888i
\(396\) 3.51178 0.960507i 0.176473 0.0482673i
\(397\) −1.53545 + 1.26011i −0.0770622 + 0.0632433i −0.672136 0.740428i \(-0.734623\pi\)
0.595074 + 0.803671i \(0.297123\pi\)
\(398\) −23.8694 + 4.40710i −1.19647 + 0.220908i
\(399\) 2.18456 0.904872i 0.109365 0.0453003i
\(400\) −2.17303 15.2805i −0.108651 0.764024i
\(401\) 10.0009 + 4.14250i 0.499421 + 0.206867i 0.618150 0.786060i \(-0.287882\pi\)
−0.118730 + 0.992927i \(0.537882\pi\)
\(402\) −17.2494 3.67877i −0.860321 0.183480i
\(403\) 0.161772 1.64250i 0.00805842 0.0818185i
\(404\) −10.9611 + 0.775485i −0.545335 + 0.0385818i
\(405\) −0.503632 0.942230i −0.0250257 0.0468198i
\(406\) 9.26222 4.78795i 0.459677 0.237622i
\(407\) −16.4325 3.26862i −0.814527 0.162020i
\(408\) 3.88898 + 0.546021i 0.192533 + 0.0270321i
\(409\) −1.71397 8.61670i −0.0847503 0.426068i −0.999745 0.0226016i \(-0.992805\pi\)
0.914994 0.403467i \(-0.132195\pi\)
\(410\) −0.0354040 + 0.314935i −0.00174848 + 0.0155536i
\(411\) 1.97195 + 20.0215i 0.0972690 + 0.987589i
\(412\) 0.253205 0.0431532i 0.0124745 0.00212601i
\(413\) −1.22106 4.02531i −0.0600846 0.198072i
\(414\) −2.14713 + 4.98820i −0.105526 + 0.245157i
\(415\) 5.33176 5.33176i 0.261726 0.261726i
\(416\) −15.1556 2.55530i −0.743063 0.125284i
\(417\) −2.20343 2.20343i −0.107903 0.107903i
\(418\) −3.33468 + 1.32777i −0.163104 + 0.0649432i
\(419\) 10.4599 3.17297i 0.510998 0.155010i −0.0242475 0.999706i \(-0.507719\pi\)
0.535246 + 0.844696i \(0.320219\pi\)
\(420\) 0.804599 3.53342i 0.0392604 0.172413i
\(421\) 16.1254 1.58821i 0.785903 0.0774047i 0.302899 0.953023i \(-0.402045\pi\)
0.483004 + 0.875618i \(0.339545\pi\)
\(422\) −20.6915 25.9329i −1.00725 1.26239i
\(423\) −4.26469 + 0.848300i −0.207356 + 0.0412458i
\(424\) 12.6740 + 26.2669i 0.615505 + 1.27563i
\(425\) 1.04518 5.25447i 0.0506986 0.254879i
\(426\) −2.98184 0.949567i −0.144471 0.0460067i
\(427\) 21.2418 11.3540i 1.02796 0.549459i
\(428\) −1.28163 + 0.640307i −0.0619500 + 0.0309504i
\(429\) −4.92210 0.484784i −0.237641 0.0234056i
\(430\) −0.943196 + 0.611605i −0.0454849 + 0.0294942i
\(431\) −12.6513 + 30.5430i −0.609394 + 1.47121i 0.254267 + 0.967134i \(0.418166\pi\)
−0.863661 + 0.504073i \(0.831834\pi\)
\(432\) −0.172297 3.99629i −0.00828962 0.192271i
\(433\) −14.9074 35.9897i −0.716406 1.72956i −0.683336 0.730104i \(-0.739472\pi\)
−0.0330695 0.999453i \(-0.510528\pi\)
\(434\) 1.20016 + 0.826050i 0.0576093 + 0.0396517i
\(435\) 2.94643 + 3.59023i 0.141270 + 0.172138i
\(436\) 14.4693 + 1.82870i 0.692954 + 0.0875790i
\(437\) 1.55416 5.12337i 0.0743455 0.245084i
\(438\) 5.95411 + 5.02521i 0.284498 + 0.240114i
\(439\) 16.2217 10.8390i 0.774218 0.517316i −0.104576 0.994517i \(-0.533349\pi\)
0.878794 + 0.477201i \(0.158349\pi\)
\(440\) −1.29510 + 5.34628i −0.0617415 + 0.254874i
\(441\) 2.29101 3.42874i 0.109096 0.163273i
\(442\) −4.66991 2.57943i −0.222125 0.122691i
\(443\) −11.0033 9.03015i −0.522781 0.429035i 0.335633 0.941993i \(-0.391050\pi\)
−0.858414 + 0.512958i \(0.828550\pi\)
\(444\) −7.50996 + 16.8059i −0.356407 + 0.797574i
\(445\) 7.46652 13.9689i 0.353947 0.662188i
\(446\) −0.187373 + 13.6047i −0.00887238 + 0.644200i
\(447\) 4.44954i 0.210456i
\(448\) 8.44320 10.6205i 0.398904 0.501771i
\(449\) 9.83505i 0.464145i 0.972699 + 0.232072i \(0.0745506\pi\)
−0.972699 + 0.232072i \(0.925449\pi\)
\(450\) −5.45631 0.0751480i −0.257213 0.00354251i
\(451\) −0.179993 + 0.336743i −0.00847553 + 0.0158566i
\(452\) −3.42524 8.95955i −0.161110 0.421422i
\(453\) 4.59067 + 3.76746i 0.215688 + 0.177011i
\(454\) 4.91841 8.90452i 0.230833 0.417910i
\(455\) −2.73506 + 4.09330i −0.128221 + 0.191897i
\(456\) 0.608923 + 3.89616i 0.0285154 + 0.182454i
\(457\) −16.1096 + 10.7641i −0.753574 + 0.503522i −0.872039 0.489436i \(-0.837203\pi\)
0.118465 + 0.992958i \(0.462203\pi\)
\(458\) −11.9775 + 14.1915i −0.559670 + 0.663123i
\(459\) 0.403045 1.32866i 0.0188125 0.0620167i
\(460\) −5.02876 6.48377i −0.234467 0.302307i
\(461\) 17.1894 + 20.9453i 0.800590 + 0.975522i 0.999990 0.00439649i \(-0.00139945\pi\)
−0.199400 + 0.979918i \(0.563899\pi\)
\(462\) 2.47544 3.59653i 0.115168 0.167326i
\(463\) −7.41847 17.9098i −0.344766 0.832338i −0.997220 0.0745102i \(-0.976261\pi\)
0.652455 0.757828i \(-0.273739\pi\)
\(464\) 4.12386 + 16.8927i 0.191445 + 0.784226i
\(465\) −0.248361 + 0.599596i −0.0115175 + 0.0278056i
\(466\) −7.00426 10.8017i −0.324466 0.500381i
\(467\) 36.3494 + 3.58010i 1.68205 + 0.165667i 0.893426 0.449210i \(-0.148294\pi\)
0.788623 + 0.614877i \(0.210794\pi\)
\(468\) −1.72000 + 5.15453i −0.0795068 + 0.238268i
\(469\) −18.6536 + 9.97057i −0.861345 + 0.460398i
\(470\) 1.99353 6.26010i 0.0919546 0.288757i
\(471\) 1.54810 7.78280i 0.0713325 0.358613i
\(472\) 7.00391 0.398667i 0.322381 0.0183502i
\(473\) −1.32835 + 0.264225i −0.0610776 + 0.0121491i
\(474\) −6.57330 + 5.24475i −0.301922 + 0.240900i
\(475\) 5.35378 0.527301i 0.245648 0.0241942i
\(476\) 3.98639 2.50763i 0.182716 0.114937i
\(477\) 9.86727 2.99320i 0.451791 0.137049i
\(478\) −6.59800 16.5708i −0.301786 0.757933i
\(479\) 18.1864 + 18.1864i 0.830959 + 0.830959i 0.987648 0.156689i \(-0.0500819\pi\)
−0.156689 + 0.987648i \(0.550082\pi\)
\(480\) 5.41128 + 2.69152i 0.246990 + 0.122850i
\(481\) 17.6822 17.6822i 0.806237 0.806237i
\(482\) −18.3215 7.88635i −0.834522 0.359213i
\(483\) 1.89051 + 6.23219i 0.0860214 + 0.283574i
\(484\) 8.88923 12.5416i 0.404056 0.570075i
\(485\) 1.07902 + 10.9554i 0.0489957 + 0.497461i
\(486\) −1.40536 0.157986i −0.0637485 0.00716639i
\(487\) 2.54727 + 12.8060i 0.115428 + 0.580295i 0.994599 + 0.103789i \(0.0330967\pi\)
−0.879172 + 0.476505i \(0.841903\pi\)
\(488\) 10.0628 + 38.8882i 0.455522 + 1.76038i
\(489\) −22.2409 4.42398i −1.00577 0.200059i
\(490\) 2.86114 + 5.53483i 0.129253 + 0.250038i
\(491\) 16.2082 + 30.3234i 0.731466 + 1.36848i 0.922153 + 0.386825i \(0.126428\pi\)
−0.190687 + 0.981651i \(0.561072\pi\)
\(492\) 0.316829 + 0.274960i 0.0142837 + 0.0123962i
\(493\) −0.591619 + 6.00681i −0.0266452 + 0.270533i
\(494\) 1.11738 5.23928i 0.0502732 0.235727i
\(495\) 1.79682 + 0.744268i 0.0807611 + 0.0334523i
\(496\) −1.81015 + 1.62094i −0.0812779 + 0.0727826i
\(497\) −3.46717 + 1.43615i −0.155524 + 0.0644201i
\(498\) −1.81220 9.81510i −0.0812066 0.439825i
\(499\) −13.8786 + 11.3898i −0.621290 + 0.509880i −0.891559 0.452905i \(-0.850388\pi\)
0.270269 + 0.962785i \(0.412888\pi\)
\(500\) 9.37927 16.4415i 0.419454 0.735287i
\(501\) 0.370749 + 0.112466i 0.0165639 + 0.00502459i
\(502\) 36.6303 3.09907i 1.63489 0.138318i
\(503\) −18.1245 27.1252i −0.808129 1.20945i −0.974721 0.223425i \(-0.928276\pi\)
0.166592 0.986026i \(-0.446724\pi\)
\(504\) −3.24893 3.52913i −0.144719 0.157200i
\(505\) −4.88070 3.26118i −0.217188 0.145121i
\(506\) −2.73918 9.49886i −0.121771 0.422276i
\(507\) −3.56409 + 4.34285i −0.158287 + 0.192873i
\(508\) 0.307523 11.1621i 0.0136441 0.495238i
\(509\) −39.6905 21.2150i −1.75925 0.940339i −0.913618 0.406574i \(-0.866723\pi\)
−0.845633 0.533765i \(-0.820777\pi\)
\(510\) 1.46283 + 1.50368i 0.0647750 + 0.0665842i
\(511\) 9.34352 0.413333
\(512\) 13.8992 + 17.8553i 0.614263 + 0.789101i
\(513\) 1.39422 0.0615564
\(514\) 23.5802 + 24.2388i 1.04008 + 1.06913i
\(515\) 0.121009 + 0.0646806i 0.00533229 + 0.00285017i
\(516\) −0.0409801 + 1.48745i −0.00180405 + 0.0654812i
\(517\) 5.02152 6.11873i 0.220846 0.269102i
\(518\) 6.11647 + 21.2105i 0.268742 + 0.931938i
\(519\) −10.9667 7.32770i −0.481384 0.321650i
\(520\) −5.56078 6.04036i −0.243856 0.264887i
\(521\) 12.9095 + 19.3204i 0.565575 + 0.846443i 0.998487 0.0549935i \(-0.0175138\pi\)
−0.432912 + 0.901436i \(0.642514\pi\)
\(522\) 6.12599 0.518283i 0.268127 0.0226846i
\(523\) −24.0145 7.28472i −1.05008 0.318538i −0.282350 0.959311i \(-0.591114\pi\)
−0.767730 + 0.640773i \(0.778614\pi\)
\(524\) −3.27215 + 5.73597i −0.142945 + 0.250577i
\(525\) −5.05855 + 4.15145i −0.220773 + 0.181184i
\(526\) −2.21862 12.0163i −0.0967364 0.523936i
\(527\) −0.779223 + 0.322765i −0.0339435 + 0.0140599i
\(528\) 4.85752 + 5.42450i 0.211396 + 0.236071i
\(529\) −7.62554 3.15860i −0.331545 0.137331i
\(530\) −3.24956 + 15.2369i −0.141152 + 0.661847i
\(531\) 0.243109 2.46832i 0.0105500 0.107116i
\(532\) 3.57163 + 3.09964i 0.154850 + 0.134387i
\(533\) −0.268644 0.502597i −0.0116363 0.0217699i
\(534\) −9.62782 18.6249i −0.416636 0.805978i
\(535\) −0.750620 0.149308i −0.0324521 0.00645513i
\(536\) −8.83671 34.1498i −0.381688 1.47505i
\(537\) −2.41736 12.1529i −0.104317 0.524436i
\(538\) −22.4680 2.52578i −0.968665 0.108894i
\(539\) 0.735788 + 7.47058i 0.0316926 + 0.321781i
\(540\) 1.23560 1.74329i 0.0531719 0.0750192i
\(541\) 8.61351 + 28.3949i 0.370324 + 1.22079i 0.922149 + 0.386834i \(0.126432\pi\)
−0.551825 + 0.833960i \(0.686068\pi\)
\(542\) 28.9551 + 12.4635i 1.24373 + 0.535353i
\(543\) −3.87174 + 3.87174i −0.166152 + 0.166152i
\(544\) 2.49930 + 7.44599i 0.107156 + 0.319244i
\(545\) 5.50898 + 5.50898i 0.235979 + 0.235979i
\(546\) 2.41061 + 6.05424i 0.103165 + 0.259098i
\(547\) −28.8394 + 8.74834i −1.23308 + 0.374052i −0.838547 0.544829i \(-0.816595\pi\)
−0.394536 + 0.918880i \(0.629095\pi\)
\(548\) −34.0586 + 21.4245i −1.45491 + 0.915210i
\(549\) 14.1335 1.39203i 0.603203 0.0594103i
\(550\) 7.76476 6.19540i 0.331090 0.264173i
\(551\) −5.94450 + 1.18244i −0.253244 + 0.0503734i
\(552\) −10.8438 + 0.617237i −0.461544 + 0.0262714i
\(553\) −1.96741 + 9.89084i −0.0836628 + 0.420601i
\(554\) −12.5028 + 39.2615i −0.531193 + 1.66806i
\(555\) −8.67208 + 4.63532i −0.368109 + 0.196759i
\(556\) 1.97269 5.91181i 0.0836606 0.250717i
\(557\) 20.8581 + 2.05435i 0.883787 + 0.0870454i 0.529718 0.848174i \(-0.322298\pi\)
0.354069 + 0.935219i \(0.384798\pi\)
\(558\) 0.467395 + 0.720800i 0.0197864 + 0.0305139i
\(559\) 0.773570 1.86756i 0.0327185 0.0789895i
\(560\) 7.04098 1.71885i 0.297536 0.0726345i
\(561\) 0.967235 + 2.33511i 0.0408367 + 0.0985885i
\(562\) −7.23487 + 10.5114i −0.305184 + 0.443398i
\(563\) 14.4000 + 17.5465i 0.606888 + 0.739496i 0.982290 0.187367i \(-0.0599952\pi\)
−0.375402 + 0.926862i \(0.622495\pi\)
\(564\) −5.32976 6.87186i −0.224423 0.289358i
\(565\) 1.48740 4.90331i 0.0625755 0.206284i
\(566\) −13.8694 + 16.4331i −0.582974 + 0.690735i
\(567\) −1.41014 + 0.942226i −0.0592204 + 0.0395698i
\(568\) −0.966440 6.18370i −0.0405509 0.259462i
\(569\) −0.167503 + 0.250686i −0.00702211 + 0.0105093i −0.834964 0.550304i \(-0.814512\pi\)
0.827942 + 0.560814i \(0.189512\pi\)
\(570\) −1.01852 + 1.84397i −0.0426609 + 0.0772353i
\(571\) 31.8080 + 26.1042i 1.33112 + 1.09243i 0.988217 + 0.153056i \(0.0489116\pi\)
0.342907 + 0.939369i \(0.388588\pi\)
\(572\) −3.53232 9.23964i −0.147694 0.386329i
\(573\) −11.7639 + 22.0087i −0.491444 + 0.919428i
\(574\) 0.503033 + 0.00692812i 0.0209962 + 0.000289174i
\(575\) 14.8171i 0.617918i
\(576\) 6.99590 3.88038i 0.291496 0.161683i
\(577\) 21.8396i 0.909194i −0.890697 0.454597i \(-0.849783\pi\)
0.890697 0.454597i \(-0.150217\pi\)
\(578\) 0.293542 21.3133i 0.0122097 0.886517i
\(579\) −1.91880 + 3.58983i −0.0797427 + 0.149188i
\(580\) −3.78973 + 8.48073i −0.157360 + 0.352143i
\(581\) −9.25252 7.59335i −0.383859 0.315025i
\(582\) 12.7554 + 7.04544i 0.528728 + 0.292043i
\(583\) −10.4283 + 15.6071i −0.431896 + 0.646378i
\(584\) −3.66867 + 15.1446i −0.151811 + 0.626686i
\(585\) −2.41356 + 1.61269i −0.0997883 + 0.0666764i
\(586\) 14.1412 + 11.9351i 0.584169 + 0.493034i
\(587\) −5.66369 + 18.6707i −0.233765 + 0.770622i 0.759057 + 0.651024i \(0.225660\pi\)
−0.992822 + 0.119597i \(0.961840\pi\)
\(588\) 8.18234 + 1.03412i 0.337434 + 0.0426466i
\(589\) −0.537287 0.654687i −0.0221385 0.0269759i
\(590\) 3.08696 + 2.12471i 0.127088 + 0.0874728i
\(591\) −5.00213 12.0762i −0.205760 0.496749i
\(592\) −36.7810 + 1.58578i −1.51169 + 0.0651752i
\(593\) −3.92114 + 9.46647i −0.161022 + 0.388741i −0.983713 0.179748i \(-0.942472\pi\)
0.822691 + 0.568489i \(0.192472\pi\)
\(594\) 2.16004 1.40065i 0.0886273 0.0574694i
\(595\) 2.50367 + 0.246590i 0.102640 + 0.0101092i
\(596\) 7.96083 3.97726i 0.326088 0.162915i
\(597\) −15.1369 + 8.09082i −0.619510 + 0.331135i
\(598\) 14.0593 + 4.47719i 0.574928 + 0.183086i
\(599\) −6.83727 + 34.3733i −0.279363 + 1.40445i 0.545021 + 0.838423i \(0.316522\pi\)
−0.824384 + 0.566031i \(0.808478\pi\)
\(600\) −4.74272 9.82926i −0.193621 0.401278i
\(601\) 36.0926 7.17927i 1.47225 0.292849i 0.607206 0.794545i \(-0.292290\pi\)
0.865044 + 0.501696i \(0.167290\pi\)
\(602\) 1.11295 + 1.39487i 0.0453603 + 0.0568505i
\(603\) −12.4114 + 1.22242i −0.505432 + 0.0497807i
\(604\) −2.63710 + 11.5809i −0.107302 + 0.471221i
\(605\) 7.85822 2.38377i 0.319482 0.0969138i
\(606\) −7.21885 + 2.87433i −0.293246 + 0.116762i
\(607\) −20.5070 20.5070i −0.832355 0.832355i 0.155484 0.987838i \(-0.450306\pi\)
−0.987838 + 0.155484i \(0.950306\pi\)
\(608\) −6.42647 + 4.57206i −0.260628 + 0.185422i
\(609\) 5.21328 5.21328i 0.211253 0.211253i
\(610\) −8.48384 + 19.7096i −0.343501 + 0.798018i
\(611\) 3.42943 + 11.3053i 0.138740 + 0.457364i
\(612\) 2.73743 0.466534i 0.110654 0.0188585i
\(613\) 1.69953 + 17.2556i 0.0686433 + 0.696947i 0.966501 + 0.256662i \(0.0826227\pi\)
−0.897858 + 0.440285i \(0.854877\pi\)
\(614\) 4.59735 40.8957i 0.185534 1.65041i
\(615\) 0.0437189 + 0.219790i 0.00176292 + 0.00886278i
\(616\) 8.64738 + 1.21411i 0.348413 + 0.0489179i
\(617\) 3.76363 + 0.748632i 0.151518 + 0.0301388i 0.270266 0.962786i \(-0.412888\pi\)
−0.118748 + 0.992924i \(0.537888\pi\)
\(618\) 0.161343 0.0834033i 0.00649015 0.00335497i
\(619\) 14.0463 + 26.2788i 0.564569 + 1.05623i 0.988597 + 0.150586i \(0.0481159\pi\)
−0.424028 + 0.905649i \(0.639384\pi\)
\(620\) −1.29476 + 0.0916028i −0.0519988 + 0.00367886i
\(621\) −0.376393 + 3.82158i −0.0151041 + 0.153355i
\(622\) 34.5597 + 7.37052i 1.38572 + 0.295531i
\(623\) −23.2293 9.62189i −0.930662 0.385493i
\(624\) −10.7596 + 1.53012i −0.430729 + 0.0612537i
\(625\) −8.48237 + 3.51351i −0.339295 + 0.140540i
\(626\) −9.80427 + 1.81020i −0.391858 + 0.0723502i
\(627\) −1.96191 + 1.61010i −0.0783512 + 0.0643012i
\(628\) 15.3083 4.18697i 0.610867 0.167078i
\(629\) −12.2287 3.70954i −0.487591 0.147909i
\(630\) −0.216023 2.55334i −0.00860656 0.101728i
\(631\) −1.85509 2.77634i −0.0738500 0.110524i 0.792706 0.609604i \(-0.208672\pi\)
−0.866556 + 0.499080i \(0.833672\pi\)
\(632\) −15.2592 7.07247i −0.606978 0.281328i
\(633\) −19.5055 13.0331i −0.775273 0.518021i
\(634\) 31.9317 9.20813i 1.26817 0.365702i
\(635\) 3.78413 4.61098i 0.150169 0.182981i
\(636\) 14.1752 + 14.9784i 0.562084 + 0.593933i
\(637\) −9.88103 5.28152i −0.391501 0.209261i
\(638\) −8.02180 + 7.80384i −0.317586 + 0.308957i
\(639\) −2.21281 −0.0875374
\(640\) 0.0214188 + 12.0874i 0.000846653 + 0.477795i
\(641\) 30.8070 1.21680 0.608401 0.793630i \(-0.291811\pi\)
0.608401 + 0.793630i \(0.291811\pi\)
\(642\) −0.726137 + 0.706407i −0.0286583 + 0.0278797i
\(643\) 27.2808 + 14.5819i 1.07585 + 0.575053i 0.911480 0.411345i \(-0.134941\pi\)
0.164370 + 0.986399i \(0.447441\pi\)
\(644\) −9.46040 + 8.95309i −0.372792 + 0.352801i
\(645\) −0.504268 + 0.614453i −0.0198556 + 0.0241941i
\(646\) −2.63045 + 0.758542i −0.103494 + 0.0298444i
\(647\) −21.3630 14.2743i −0.839865 0.561180i 0.0595753 0.998224i \(-0.481025\pi\)
−0.899440 + 0.437044i \(0.856025\pi\)
\(648\) −0.973537 2.65560i −0.0382441 0.104322i
\(649\) 2.50842 + 3.75411i 0.0984639 + 0.147362i
\(650\) 1.24987 + 14.7732i 0.0490240 + 0.579453i
\(651\) 0.985865 + 0.299059i 0.0386391 + 0.0117210i
\(652\) −11.9651 43.7464i −0.468589 1.71324i
\(653\) −31.4707 + 25.8273i −1.23154 + 1.01070i −0.232267 + 0.972652i \(0.574614\pi\)
−0.999276 + 0.0380489i \(0.987886\pi\)
\(654\) 10.1413 1.87243i 0.396557 0.0732179i
\(655\) −3.25909 + 1.34996i −0.127343 + 0.0527473i
\(656\) −0.208742 + 0.812627i −0.00815000 + 0.0317277i
\(657\) 5.08991 + 2.10831i 0.198576 + 0.0822529i
\(658\) −10.1997 2.17528i −0.397625 0.0848011i
\(659\) 4.27579 43.4128i 0.166561 1.69112i −0.441523 0.897250i \(-0.645561\pi\)
0.608084 0.793873i \(-0.291939\pi\)
\(660\) 0.274508 + 3.88003i 0.0106852 + 0.151030i
\(661\) 11.5912 + 21.6855i 0.450844 + 0.843470i 0.999970 + 0.00773042i \(0.00246069\pi\)
−0.549126 + 0.835740i \(0.685039\pi\)
\(662\) −6.70504 + 3.46606i −0.260599 + 0.134712i
\(663\) −3.69988 0.735952i −0.143691 0.0285820i
\(664\) 15.9407 12.0156i 0.618620 0.466295i
\(665\) 0.492845 + 2.47770i 0.0191117 + 0.0960811i
\(666\) −1.45407 + 12.9346i −0.0563440 + 0.501207i
\(667\) −1.63626 16.6132i −0.0633562 0.643266i
\(668\) 0.130181 + 0.763850i 0.00503686 + 0.0295542i
\(669\) 2.79279 + 9.20660i 0.107976 + 0.355948i
\(670\) 7.45012 17.3081i 0.287823 0.668670i
\(671\) −18.2807 + 18.2807i −0.705720 + 0.705720i
\(672\) 3.41001 8.96733i 0.131544 0.345922i
\(673\) −9.90839 9.90839i −0.381940 0.381940i 0.489861 0.871801i \(-0.337048\pi\)
−0.871801 + 0.489861i \(0.837048\pi\)
\(674\) −0.552154 + 0.219851i −0.0212682 + 0.00846834i
\(675\) −3.69241 + 1.12008i −0.142121 + 0.0431119i
\(676\) −10.9558 2.49474i −0.421375 0.0959517i
\(677\) 11.8509 1.16721i 0.455467 0.0448596i 0.132317 0.991207i \(-0.457758\pi\)
0.323150 + 0.946348i \(0.395258\pi\)
\(678\) −4.23019 5.30173i −0.162459 0.203612i
\(679\) 17.1392 3.40919i 0.657740 0.130833i
\(680\) −1.38274 + 3.96128i −0.0530255 + 0.151908i
\(681\) 1.40330 7.05489i 0.0537747 0.270344i
\(682\) −1.49011 0.474526i −0.0570594 0.0181706i
\(683\) −28.4993 + 15.2332i −1.09049 + 0.582881i −0.915757 0.401734i \(-0.868408\pi\)
−0.174738 + 0.984615i \(0.555908\pi\)
\(684\) 1.24624 + 2.49445i 0.0476511 + 0.0953778i
\(685\) −21.3907 2.10680i −0.817295 0.0804965i
\(686\) 22.3854 14.5155i 0.854678 0.554206i
\(687\) −5.02509 + 12.1316i −0.191719 + 0.462851i
\(688\) −2.69788 + 1.25625i −0.102856 + 0.0478940i
\(689\) −10.7210 25.8828i −0.408438 0.986057i
\(690\) −4.77938 3.28958i −0.181948 0.125232i
\(691\) 1.39108 + 1.69504i 0.0529193 + 0.0644823i 0.798797 0.601600i \(-0.205470\pi\)
−0.745878 + 0.666082i \(0.767970\pi\)
\(692\) 3.30760 26.1708i 0.125736 0.994866i
\(693\) 0.896195 2.95436i 0.0340436 0.112227i
\(694\) 38.3360 + 32.3552i 1.45521 + 1.22819i
\(695\) 2.76814 1.84961i 0.105002 0.0701599i
\(696\) 6.40305 + 10.4970i 0.242707 + 0.397887i
\(697\) −0.161799 + 0.242149i −0.00612857 + 0.00917205i
\(698\) 20.4256 + 11.2821i 0.773121 + 0.427033i
\(699\) −7.03688 5.77502i −0.266159 0.218431i
\(700\) −11.9492 5.33964i −0.451635 0.201819i
\(701\) 2.52679 4.72729i 0.0954355 0.178547i −0.829673 0.558249i \(-0.811473\pi\)
0.925109 + 0.379702i \(0.123973\pi\)
\(702\) −0.0529148 + 3.84200i −0.00199714 + 0.145007i
\(703\) 12.8321i 0.483972i
\(704\) −5.36324 + 13.5395i −0.202135 + 0.510289i
\(705\) 4.64559i 0.174963i
\(706\) 40.0693 + 0.551862i 1.50803 + 0.0207696i
\(707\) −4.39249 + 8.21778i −0.165197 + 0.309061i
\(708\) 4.63347 1.77138i 0.174137 0.0665725i
\(709\) 19.5173 + 16.0175i 0.732988 + 0.601548i 0.925055 0.379834i \(-0.124019\pi\)
−0.192066 + 0.981382i \(0.561519\pi\)
\(710\) 1.61652 2.92662i 0.0606668 0.109834i
\(711\) −3.30356 + 4.94412i −0.123893 + 0.185419i
\(712\) 24.7166 33.8735i 0.926293 1.26946i
\(713\) 1.93956 1.29597i 0.0726370 0.0485345i
\(714\) 2.14786 2.54489i 0.0803817 0.0952400i
\(715\) 1.53390 5.05660i 0.0573647 0.189106i
\(716\) 19.5824 15.1880i 0.731829 0.567601i
\(717\) −8.00099 9.74923i −0.298802 0.364092i
\(718\) 11.5580 16.7924i 0.431340 0.626687i
\(719\) −2.69537 6.50720i −0.100520 0.242677i 0.865617 0.500707i \(-0.166927\pi\)
−0.966137 + 0.258030i \(0.916927\pi\)
\(720\) 4.22344 + 0.652409i 0.157398 + 0.0243139i
\(721\) 0.0833520 0.201229i 0.00310419 0.00749418i
\(722\) 13.1235 + 20.2386i 0.488405 + 0.753201i
\(723\) −14.0366 1.38248i −0.522025 0.0514150i
\(724\) −10.3879 3.46628i −0.386062 0.128823i
\(725\) 14.7933 7.90718i 0.549409 0.293665i
\(726\) 3.29833 10.3574i 0.122412 0.384401i
\(727\) −3.89879 + 19.6006i −0.144598 + 0.726945i 0.838650 + 0.544671i \(0.183346\pi\)
−0.983248 + 0.182273i \(0.941654\pi\)
\(728\) −8.67713 + 9.72456i −0.321596 + 0.360416i
\(729\) −0.980785 + 0.195090i −0.0363254 + 0.00722557i
\(730\) −6.50672 + 5.19163i −0.240824 + 0.192151i
\(731\) −1.02804 + 0.101253i −0.0380234 + 0.00374498i
\(732\) 15.1239 + 24.0425i 0.558995 + 0.888637i
\(733\) −9.07751 + 2.75363i −0.335285 + 0.101708i −0.453438 0.891288i \(-0.649803\pi\)
0.118153 + 0.992995i \(0.462303\pi\)
\(734\) −11.6182 29.1789i −0.428834 1.07701i
\(735\) 3.11530 + 3.11530i 0.114910 + 0.114910i
\(736\) −10.7972 18.8494i −0.397989 0.694797i
\(737\) 16.0533 16.0533i 0.591332 0.591332i
\(738\) 0.272465 + 0.117280i 0.0100296 + 0.00431715i
\(739\) 0.751026 + 2.47580i 0.0276269 + 0.0910738i 0.969670 0.244419i \(-0.0785972\pi\)
−0.942043 + 0.335493i \(0.891097\pi\)
\(740\) −16.0449 11.3722i −0.589821 0.418051i
\(741\) −0.371294 3.76981i −0.0136398 0.138487i
\(742\) 24.5763 + 2.76278i 0.902224 + 0.101425i
\(743\) 4.11877 + 20.7065i 0.151103 + 0.759646i 0.979805 + 0.199956i \(0.0640799\pi\)
−0.828702 + 0.559690i \(0.810920\pi\)
\(744\) −0.871826 + 1.48053i −0.0319627 + 0.0542788i
\(745\) 4.66247 + 0.927422i 0.170820 + 0.0339781i
\(746\) −19.8763 38.4505i −0.727725 1.40777i
\(747\) −3.32694 6.22427i −0.121726 0.227734i
\(748\) −3.31327 + 3.81778i −0.121145 + 0.139592i
\(749\) −0.119080 + 1.20904i −0.00435107 + 0.0441772i
\(750\) 2.79174 13.0902i 0.101940 0.477987i
\(751\) −47.5456 19.6940i −1.73496 0.718646i −0.999140 0.0414740i \(-0.986795\pi\)
−0.735825 0.677172i \(-0.763205\pi\)
\(752\) 7.53066 15.6782i 0.274615 0.571724i
\(753\) 24.0154 9.94750i 0.875169 0.362507i
\(754\) −3.03278 16.4259i −0.110447 0.598197i
\(755\) −4.90459 + 4.02509i −0.178496 + 0.146488i
\(756\) −2.94624 1.68072i −0.107154 0.0611272i
\(757\) −33.2599 10.0893i −1.20885 0.366701i −0.379376 0.925243i \(-0.623861\pi\)
−0.829477 + 0.558541i \(0.811361\pi\)
\(758\) 9.05920 0.766444i 0.329045 0.0278385i
\(759\) −3.88366 5.81231i −0.140968 0.210973i
\(760\) −4.20952 0.174017i −0.152695 0.00631228i
\(761\) −1.17737 0.786691i −0.0426795 0.0285175i 0.534047 0.845454i \(-0.320670\pi\)
−0.576727 + 0.816937i \(0.695670\pi\)
\(762\) −2.18775 7.58664i −0.0792540 0.274835i
\(763\) 7.84574 9.56006i 0.284035 0.346097i
\(764\) −49.8919 1.37455i −1.80503 0.0497296i
\(765\) 1.30824 + 0.699268i 0.0472994 + 0.0252821i
\(766\) 30.9279 + 31.7917i 1.11747 + 1.14868i
\(767\) −6.73879 −0.243324
\(768\) 13.1959 + 9.04812i 0.476166 + 0.326496i