Properties

Label 380.2.bb.a.59.1
Level $380$
Weight $2$
Character 380.59
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(59,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bb (of order \(18\), degree \(6\), 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: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(56\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.1
Character \(\chi\) \(=\) 380.59
Dual form 380.2.bb.a.219.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.41344 - 0.0466259i) q^{2} +(-1.17302 + 1.39795i) q^{3} +(1.99565 + 0.131806i) q^{4} +(-1.08439 - 1.95553i) q^{5} +(1.72317 - 1.92123i) q^{6} +(1.36812 + 2.36965i) q^{7} +(-2.81460 - 0.279350i) q^{8} +(-0.0573416 - 0.325200i) q^{9} +O(q^{10})\) \(q+(-1.41344 - 0.0466259i) q^{2} +(-1.17302 + 1.39795i) q^{3} +(1.99565 + 0.131806i) q^{4} +(-1.08439 - 1.95553i) q^{5} +(1.72317 - 1.92123i) q^{6} +(1.36812 + 2.36965i) q^{7} +(-2.81460 - 0.279350i) q^{8} +(-0.0573416 - 0.325200i) q^{9} +(1.44155 + 2.81459i) q^{10} +(-2.24016 - 1.29335i) q^{11} +(-2.52519 + 2.63520i) q^{12} +(-0.527993 + 0.443038i) q^{13} +(-1.82327 - 3.41316i) q^{14} +(4.00573 + 0.777939i) q^{15} +(3.96525 + 0.526079i) q^{16} +(0.544629 + 0.0960328i) q^{17} +(0.0658864 + 0.462326i) q^{18} +(-1.26967 + 4.16989i) q^{19} +(-1.90632 - 4.04548i) q^{20} +(-4.91747 - 0.867083i) q^{21} +(3.10603 + 1.93253i) q^{22} +(0.366941 + 0.133555i) q^{23} +(3.69208 - 3.60697i) q^{24} +(-2.64818 + 4.24113i) q^{25} +(0.766946 - 0.601592i) q^{26} +(-4.21932 - 2.43603i) q^{27} +(2.41796 + 4.90933i) q^{28} +(-8.63898 + 1.52328i) q^{29} +(-5.62561 - 1.28635i) q^{30} +(-4.91391 - 8.51114i) q^{31} +(-5.58014 - 0.928468i) q^{32} +(4.43578 - 1.61449i) q^{33} +(-0.765325 - 0.161131i) q^{34} +(3.15034 - 5.24504i) q^{35} +(-0.0715704 - 0.656544i) q^{36} -9.48947 q^{37} +(1.98903 - 5.83470i) q^{38} -1.25780i q^{39} +(2.50586 + 5.80695i) q^{40} +(-3.19809 + 3.81133i) q^{41} +(6.91015 + 1.45486i) q^{42} +(-2.46866 + 0.898519i) q^{43} +(-4.30010 - 2.87635i) q^{44} +(-0.573757 + 0.464779i) q^{45} +(-0.512423 - 0.205882i) q^{46} +(-0.347487 - 1.97070i) q^{47} +(-5.38673 + 4.92611i) q^{48} +(-0.243505 + 0.421764i) q^{49} +(3.94080 - 5.87113i) q^{50} +(-0.773107 + 0.648714i) q^{51} +(-1.11208 + 0.814558i) q^{52} +(9.32287 + 3.39325i) q^{53} +(5.85020 + 3.63992i) q^{54} +(-0.0999769 + 5.78319i) q^{55} +(-3.18875 - 7.05181i) q^{56} +(-4.33993 - 6.66626i) q^{57} +(12.2817 - 1.75028i) q^{58} +(-1.22506 + 6.94767i) q^{59} +(7.89151 + 2.08048i) q^{60} +(-1.23607 - 0.449894i) q^{61} +(6.54870 + 12.2591i) q^{62} +(0.692162 - 0.580793i) q^{63} +(7.84393 + 1.57252i) q^{64} +(1.43893 + 0.552076i) q^{65} +(-6.34500 + 2.07517i) q^{66} +(3.08193 - 0.543427i) q^{67} +(1.07423 + 0.263434i) q^{68} +(-0.617130 + 0.356300i) q^{69} +(-4.69739 + 7.26668i) q^{70} +(-3.62520 + 1.31947i) q^{71} +(0.0705488 + 0.931326i) q^{72} +(-5.31372 + 6.33264i) q^{73} +(13.4128 + 0.442455i) q^{74} +(-2.82251 - 8.67691i) q^{75} +(-3.08343 + 8.15429i) q^{76} -7.07786i q^{77} +(-0.0586459 + 1.77783i) q^{78} +(9.44434 + 7.92474i) q^{79} +(-3.27114 - 8.32464i) q^{80} +(9.28567 - 3.37971i) q^{81} +(4.69803 - 5.23799i) q^{82} +(-0.643215 - 1.11408i) q^{83} +(-9.69928 - 2.37855i) q^{84} +(-0.402798 - 1.16917i) q^{85} +(3.53121 - 1.15490i) q^{86} +(8.00419 - 13.8637i) q^{87} +(5.94384 + 4.26606i) q^{88} +(7.29789 + 8.69728i) q^{89} +(0.832645 - 0.630187i) q^{90} +(-1.77221 - 0.645030i) q^{91} +(0.714682 + 0.314895i) q^{92} +(17.6622 + 3.11432i) q^{93} +(0.399268 + 2.80167i) q^{94} +(9.53115 - 2.03894i) q^{95} +(7.84354 - 6.71162i) q^{96} +(1.36674 - 7.75117i) q^{97} +(0.363846 - 0.584786i) q^{98} +(-0.292145 + 0.802662i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9} - 15 q^{10} + 18 q^{14} - 6 q^{16} - 42 q^{20} + 12 q^{21} + 12 q^{24} - 12 q^{25} + 18 q^{26} - 24 q^{29} - 24 q^{30} + 12 q^{34} - 6 q^{36} - 48 q^{40} - 12 q^{41} - 36 q^{44} - 6 q^{45} - 18 q^{46} - 108 q^{49} - 36 q^{50} + 36 q^{54} - 30 q^{60} - 24 q^{61} + 18 q^{64} - 18 q^{65} - 48 q^{66} - 180 q^{69} - 21 q^{70} - 30 q^{74} - 48 q^{76} + 3 q^{80} - 60 q^{81} + 90 q^{84} - 36 q^{85} + 102 q^{86} - 48 q^{89} - 78 q^{90} + 24 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41344 0.0466259i −0.999456 0.0329695i
\(3\) −1.17302 + 1.39795i −0.677241 + 0.807104i −0.989750 0.142811i \(-0.954386\pi\)
0.312509 + 0.949915i \(0.398830\pi\)
\(4\) 1.99565 + 0.131806i 0.997826 + 0.0659032i
\(5\) −1.08439 1.95553i −0.484956 0.874538i
\(6\) 1.72317 1.92123i 0.703482 0.784337i
\(7\) 1.36812 + 2.36965i 0.517101 + 0.895645i 0.999803 + 0.0198602i \(0.00632211\pi\)
−0.482702 + 0.875785i \(0.660345\pi\)
\(8\) −2.81460 0.279350i −0.995111 0.0987652i
\(9\) −0.0573416 0.325200i −0.0191139 0.108400i
\(10\) 1.44155 + 2.81459i 0.455859 + 0.890052i
\(11\) −2.24016 1.29335i −0.675433 0.389961i 0.122699 0.992444i \(-0.460845\pi\)
−0.798132 + 0.602483i \(0.794178\pi\)
\(12\) −2.52519 + 2.63520i −0.728959 + 0.760717i
\(13\) −0.527993 + 0.443038i −0.146439 + 0.122877i −0.713064 0.701099i \(-0.752693\pi\)
0.566625 + 0.823976i \(0.308249\pi\)
\(14\) −1.82327 3.41316i −0.487291 0.912207i
\(15\) 4.00573 + 0.777939i 1.03428 + 0.200863i
\(16\) 3.96525 + 0.526079i 0.991314 + 0.131520i
\(17\) 0.544629 + 0.0960328i 0.132092 + 0.0232914i 0.239303 0.970945i \(-0.423081\pi\)
−0.107211 + 0.994236i \(0.534192\pi\)
\(18\) 0.0658864 + 0.462326i 0.0155296 + 0.108971i
\(19\) −1.26967 + 4.16989i −0.291281 + 0.956637i
\(20\) −1.90632 4.04548i −0.426267 0.904597i
\(21\) −4.91747 0.867083i −1.07308 0.189213i
\(22\) 3.10603 + 1.93253i 0.662208 + 0.412018i
\(23\) 0.366941 + 0.133555i 0.0765124 + 0.0278482i 0.379993 0.924989i \(-0.375926\pi\)
−0.303480 + 0.952838i \(0.598149\pi\)
\(24\) 3.69208 3.60697i 0.753643 0.736270i
\(25\) −2.64818 + 4.24113i −0.529635 + 0.848226i
\(26\) 0.766946 0.601592i 0.150410 0.117982i
\(27\) −4.21932 2.43603i −0.812009 0.468814i
\(28\) 2.41796 + 4.90933i 0.456951 + 0.927776i
\(29\) −8.63898 + 1.52328i −1.60422 + 0.282867i −0.902857 0.429940i \(-0.858535\pi\)
−0.701360 + 0.712807i \(0.747424\pi\)
\(30\) −5.62561 1.28635i −1.02709 0.234853i
\(31\) −4.91391 8.51114i −0.882564 1.52865i −0.848481 0.529226i \(-0.822482\pi\)
−0.0340829 0.999419i \(-0.510851\pi\)
\(32\) −5.58014 0.928468i −0.986438 0.164131i
\(33\) 4.43578 1.61449i 0.772170 0.281047i
\(34\) −0.765325 0.161131i −0.131252 0.0276337i
\(35\) 3.15034 5.24504i 0.532505 0.886573i
\(36\) −0.0715704 0.656544i −0.0119284 0.109424i
\(37\) −9.48947 −1.56006 −0.780030 0.625743i \(-0.784796\pi\)
−0.780030 + 0.625743i \(0.784796\pi\)
\(38\) 1.98903 5.83470i 0.322663 0.946514i
\(39\) 1.25780i 0.201409i
\(40\) 2.50586 + 5.80695i 0.396211 + 0.918159i
\(41\) −3.19809 + 3.81133i −0.499457 + 0.595230i −0.955596 0.294678i \(-0.904787\pi\)
0.456139 + 0.889908i \(0.349232\pi\)
\(42\) 6.91015 + 1.45486i 1.06626 + 0.224489i
\(43\) −2.46866 + 0.898519i −0.376467 + 0.137023i −0.523322 0.852135i \(-0.675307\pi\)
0.146854 + 0.989158i \(0.453085\pi\)
\(44\) −4.30010 2.87635i −0.648264 0.433627i
\(45\) −0.573757 + 0.464779i −0.0855307 + 0.0692851i
\(46\) −0.512423 0.205882i −0.0755527 0.0303557i
\(47\) −0.347487 1.97070i −0.0506862 0.287456i 0.948920 0.315517i \(-0.102178\pi\)
−0.999606 + 0.0280610i \(0.991067\pi\)
\(48\) −5.38673 + 4.92611i −0.777508 + 0.711023i
\(49\) −0.243505 + 0.421764i −0.0347865 + 0.0602519i
\(50\) 3.94080 5.87113i 0.557313 0.830303i
\(51\) −0.773107 + 0.648714i −0.108257 + 0.0908381i
\(52\) −1.11208 + 0.814558i −0.154218 + 0.112959i
\(53\) 9.32287 + 3.39325i 1.28059 + 0.466098i 0.890629 0.454731i \(-0.150265\pi\)
0.389966 + 0.920829i \(0.372487\pi\)
\(54\) 5.85020 + 3.63992i 0.796111 + 0.495330i
\(55\) −0.0999769 + 5.78319i −0.0134809 + 0.779806i
\(56\) −3.18875 7.05181i −0.426114 0.942337i
\(57\) −4.33993 6.66626i −0.574838 0.882968i
\(58\) 12.2817 1.75028i 1.61267 0.229823i
\(59\) −1.22506 + 6.94767i −0.159490 + 0.904510i 0.795076 + 0.606510i \(0.207431\pi\)
−0.954566 + 0.298000i \(0.903680\pi\)
\(60\) 7.89151 + 2.08048i 1.01879 + 0.268588i
\(61\) −1.23607 0.449894i −0.158263 0.0576031i 0.261674 0.965156i \(-0.415726\pi\)
−0.419937 + 0.907553i \(0.637948\pi\)
\(62\) 6.54870 + 12.2591i 0.831685 + 1.55691i
\(63\) 0.692162 0.580793i 0.0872042 0.0731730i
\(64\) 7.84393 + 1.57252i 0.980491 + 0.196565i
\(65\) 1.43893 + 0.552076i 0.178477 + 0.0684765i
\(66\) −6.34500 + 2.07517i −0.781016 + 0.255436i
\(67\) 3.08193 0.543427i 0.376518 0.0663902i 0.0178130 0.999841i \(-0.494330\pi\)
0.358705 + 0.933451i \(0.383219\pi\)
\(68\) 1.07423 + 0.263434i 0.130270 + 0.0319460i
\(69\) −0.617130 + 0.356300i −0.0742938 + 0.0428935i
\(70\) −4.69739 + 7.26668i −0.561445 + 0.868535i
\(71\) −3.62520 + 1.31947i −0.430233 + 0.156592i −0.548054 0.836443i \(-0.684631\pi\)
0.117821 + 0.993035i \(0.462409\pi\)
\(72\) 0.0705488 + 0.931326i 0.00831425 + 0.109758i
\(73\) −5.31372 + 6.33264i −0.621924 + 0.741180i −0.981400 0.191974i \(-0.938511\pi\)
0.359476 + 0.933154i \(0.382955\pi\)
\(74\) 13.4128 + 0.442455i 1.55921 + 0.0514344i
\(75\) −2.82251 8.67691i −0.325916 1.00192i
\(76\) −3.08343 + 8.15429i −0.353694 + 0.935361i
\(77\) 7.07786i 0.806597i
\(78\) −0.0586459 + 1.77783i −0.00664034 + 0.201299i
\(79\) 9.44434 + 7.92474i 1.06257 + 0.891603i 0.994359 0.106068i \(-0.0338260\pi\)
0.0682124 + 0.997671i \(0.478270\pi\)
\(80\) −3.27114 8.32464i −0.365724 0.930723i
\(81\) 9.28567 3.37971i 1.03174 0.375523i
\(82\) 4.69803 5.23799i 0.518810 0.578440i
\(83\) −0.643215 1.11408i −0.0706020 0.122286i 0.828563 0.559895i \(-0.189159\pi\)
−0.899165 + 0.437609i \(0.855825\pi\)
\(84\) −9.69928 2.37855i −1.05828 0.259521i
\(85\) −0.402798 1.16917i −0.0436896 0.126815i
\(86\) 3.53121 1.15490i 0.380780 0.124536i
\(87\) 8.00419 13.8637i 0.858139 1.48634i
\(88\) 5.94384 + 4.26606i 0.633616 + 0.454764i
\(89\) 7.29789 + 8.69728i 0.773574 + 0.921910i 0.998624 0.0524373i \(-0.0166990\pi\)
−0.225050 + 0.974347i \(0.572255\pi\)
\(90\) 0.832645 0.630187i 0.0877685 0.0664275i
\(91\) −1.77221 0.645030i −0.185778 0.0676175i
\(92\) 0.714682 + 0.314895i 0.0745108 + 0.0328301i
\(93\) 17.6622 + 3.11432i 1.83148 + 0.322940i
\(94\) 0.399268 + 2.80167i 0.0411814 + 0.288971i
\(95\) 9.53115 2.03894i 0.977875 0.209190i
\(96\) 7.84354 6.71162i 0.800528 0.685002i
\(97\) 1.36674 7.75117i 0.138772 0.787012i −0.833387 0.552689i \(-0.813602\pi\)
0.972159 0.234323i \(-0.0752873\pi\)
\(98\) 0.363846 0.584786i 0.0367540 0.0590723i
\(99\) −0.292145 + 0.802662i −0.0293617 + 0.0806706i
\(100\) −5.84384 + 8.11477i −0.584384 + 0.811477i
\(101\) 5.70389 4.78613i 0.567558 0.476238i −0.313276 0.949662i \(-0.601427\pi\)
0.880835 + 0.473424i \(0.156982\pi\)
\(102\) 1.12299 0.880874i 0.111193 0.0872195i
\(103\) 9.76852 + 5.63986i 0.962521 + 0.555712i 0.896948 0.442136i \(-0.145779\pi\)
0.0655730 + 0.997848i \(0.479112\pi\)
\(104\) 1.60985 1.09948i 0.157859 0.107813i
\(105\) 3.63688 + 10.5565i 0.354923 + 1.03021i
\(106\) −13.0192 5.23086i −1.26453 0.508066i
\(107\) −8.30629 + 4.79564i −0.802999 + 0.463612i −0.844519 0.535526i \(-0.820113\pi\)
0.0415197 + 0.999138i \(0.486780\pi\)
\(108\) −8.09922 5.41760i −0.779348 0.521309i
\(109\) −4.54408 12.4848i −0.435244 1.19582i −0.942552 0.334059i \(-0.891582\pi\)
0.507308 0.861765i \(-0.330641\pi\)
\(110\) 0.410959 8.16956i 0.0391834 0.778937i
\(111\) 11.1313 13.2658i 1.05654 1.25913i
\(112\) 4.17832 + 10.1160i 0.394814 + 0.955874i
\(113\) −16.7648 −1.57710 −0.788551 0.614970i \(-0.789168\pi\)
−0.788551 + 0.614970i \(0.789168\pi\)
\(114\) 5.82344 + 9.62475i 0.545415 + 0.901440i
\(115\) −0.136737 0.862390i −0.0127508 0.0804182i
\(116\) −17.4412 + 1.90127i −1.61937 + 0.176529i
\(117\) 0.174352 + 0.146299i 0.0161189 + 0.0135253i
\(118\) 2.05550 9.76303i 0.189224 0.898760i
\(119\) 0.517554 + 1.42197i 0.0474441 + 0.130351i
\(120\) −11.0572 3.30859i −1.00938 0.302031i
\(121\) −2.15447 3.73165i −0.195861 0.339241i
\(122\) 1.72615 + 0.693534i 0.156278 + 0.0627896i
\(123\) −1.57663 8.94150i −0.142160 0.806228i
\(124\) −8.68463 17.6330i −0.779902 1.58349i
\(125\) 11.1653 + 0.579522i 0.998656 + 0.0518340i
\(126\) −1.00541 + 0.788646i −0.0895693 + 0.0702581i
\(127\) 13.1642 + 15.6884i 1.16813 + 1.39212i 0.903944 + 0.427651i \(0.140659\pi\)
0.264186 + 0.964472i \(0.414897\pi\)
\(128\) −11.0136 2.58840i −0.973477 0.228784i
\(129\) 1.63970 4.50503i 0.144367 0.396646i
\(130\) −2.00810 0.847420i −0.176122 0.0743236i
\(131\) −0.182318 0.0321476i −0.0159292 0.00280875i 0.165678 0.986180i \(-0.447019\pi\)
−0.181607 + 0.983371i \(0.558130\pi\)
\(132\) 9.06507 2.63730i 0.789013 0.229547i
\(133\) −11.6182 + 2.69624i −1.00743 + 0.233793i
\(134\) −4.38147 + 0.624407i −0.378502 + 0.0539405i
\(135\) −0.188306 + 10.8926i −0.0162068 + 0.937487i
\(136\) −1.50609 0.422436i −0.129146 0.0362236i
\(137\) −0.245425 + 0.674299i −0.0209681 + 0.0576092i −0.949735 0.313055i \(-0.898648\pi\)
0.928767 + 0.370664i \(0.120870\pi\)
\(138\) 0.888893 0.474837i 0.0756676 0.0404208i
\(139\) 2.54609 + 3.03431i 0.215956 + 0.257367i 0.863137 0.504970i \(-0.168496\pi\)
−0.647180 + 0.762337i \(0.724052\pi\)
\(140\) 6.97831 10.0520i 0.589775 0.849552i
\(141\) 3.16254 + 1.82589i 0.266334 + 0.153768i
\(142\) 5.18555 1.69596i 0.435161 0.142322i
\(143\) 1.75579 0.309593i 0.146827 0.0258895i
\(144\) −0.0562928 1.31967i −0.00469107 0.109972i
\(145\) 12.3469 + 15.2419i 1.02535 + 1.26577i
\(146\) 7.80591 8.70309i 0.646022 0.720272i
\(147\) −0.303967 0.835142i −0.0250708 0.0688814i
\(148\) −18.9377 1.25077i −1.55667 0.102813i
\(149\) 10.7942 + 9.05743i 0.884297 + 0.742013i 0.967058 0.254556i \(-0.0819293\pi\)
−0.0827608 + 0.996569i \(0.526374\pi\)
\(150\) 3.58490 + 12.3959i 0.292706 + 1.01212i
\(151\) −15.0663 −1.22608 −0.613038 0.790054i \(-0.710053\pi\)
−0.613038 + 0.790054i \(0.710053\pi\)
\(152\) 4.73846 11.3819i 0.384340 0.923192i
\(153\) 0.182620i 0.0147640i
\(154\) −0.330012 + 10.0042i −0.0265931 + 0.806158i
\(155\) −11.3151 + 18.8387i −0.908854 + 1.51316i
\(156\) 0.165786 2.51012i 0.0132735 0.200971i
\(157\) −6.52871 17.9375i −0.521048 1.43157i −0.869355 0.494187i \(-0.835466\pi\)
0.348307 0.937380i \(-0.386757\pi\)
\(158\) −12.9796 11.6415i −1.03260 0.926151i
\(159\) −15.6794 + 9.05253i −1.24346 + 0.717913i
\(160\) 4.23543 + 11.9189i 0.334840 + 0.942275i
\(161\) 0.185539 + 1.05224i 0.0146225 + 0.0829283i
\(162\) −13.2824 + 4.34408i −1.04356 + 0.341303i
\(163\) −7.60887 + 13.1789i −0.595972 + 1.03225i 0.397437 + 0.917630i \(0.369900\pi\)
−0.993409 + 0.114625i \(0.963433\pi\)
\(164\) −6.88463 + 7.18457i −0.537599 + 0.561020i
\(165\) −7.96732 6.92354i −0.620255 0.538997i
\(166\) 0.857203 + 1.60468i 0.0665319 + 0.124547i
\(167\) −1.44630 + 3.97367i −0.111918 + 0.307492i −0.982989 0.183665i \(-0.941204\pi\)
0.871071 + 0.491157i \(0.163426\pi\)
\(168\) 13.5985 + 3.81419i 1.04915 + 0.294271i
\(169\) −2.17493 + 12.3347i −0.167303 + 0.948820i
\(170\) 0.514819 + 1.67134i 0.0394848 + 0.128186i
\(171\) 1.42885 + 0.173788i 0.109267 + 0.0132899i
\(172\) −5.04502 + 1.46775i −0.384679 + 0.111915i
\(173\) −0.635695 + 3.60521i −0.0483310 + 0.274099i −0.999390 0.0349091i \(-0.988886\pi\)
0.951060 + 0.309008i \(0.0999969\pi\)
\(174\) −11.9599 + 19.2223i −0.906676 + 1.45724i
\(175\) −13.6730 0.472886i −1.03358 0.0357468i
\(176\) −8.20238 6.30698i −0.618278 0.475407i
\(177\) −8.27545 9.86230i −0.622021 0.741296i
\(178\) −9.90964 12.6334i −0.742759 0.946913i
\(179\) 10.1085 17.5085i 0.755546 1.30864i −0.189556 0.981870i \(-0.560705\pi\)
0.945102 0.326775i \(-0.105962\pi\)
\(180\) −1.20628 + 0.851911i −0.0899108 + 0.0634977i
\(181\) 21.1624 3.73150i 1.57299 0.277360i 0.681987 0.731364i \(-0.261116\pi\)
0.891000 + 0.454004i \(0.150005\pi\)
\(182\) 2.47484 + 0.994345i 0.183447 + 0.0737057i
\(183\) 2.07886 1.20023i 0.153674 0.0887237i
\(184\) −0.995482 0.478410i −0.0733879 0.0352689i
\(185\) 10.2903 + 18.5569i 0.756560 + 1.36433i
\(186\) −24.8193 5.22544i −1.81984 0.383148i
\(187\) −1.09585 0.919527i −0.0801365 0.0672425i
\(188\) −0.433713 3.97863i −0.0316318 0.290171i
\(189\) 13.3311i 0.969696i
\(190\) −13.5668 + 2.43752i −0.984240 + 0.176837i
\(191\) 6.21850i 0.449955i −0.974364 0.224977i \(-0.927769\pi\)
0.974364 0.224977i \(-0.0722308\pi\)
\(192\) −11.3993 + 9.12080i −0.822677 + 0.658237i
\(193\) 10.5116 + 8.82024i 0.756638 + 0.634895i 0.937249 0.348660i \(-0.113363\pi\)
−0.180611 + 0.983555i \(0.557808\pi\)
\(194\) −2.29322 + 10.8921i −0.164643 + 0.782009i
\(195\) −2.45965 + 1.36395i −0.176140 + 0.0976743i
\(196\) −0.541543 + 0.809598i −0.0386816 + 0.0578284i
\(197\) −11.8514 + 6.84239i −0.844375 + 0.487500i −0.858749 0.512397i \(-0.828758\pi\)
0.0143741 + 0.999897i \(0.495424\pi\)
\(198\) 0.450356 1.12090i 0.0320054 0.0796587i
\(199\) 10.4631 1.84493i 0.741709 0.130783i 0.209990 0.977704i \(-0.432657\pi\)
0.531720 + 0.846920i \(0.321546\pi\)
\(200\) 8.63831 11.1973i 0.610821 0.791769i
\(201\) −2.85547 + 4.94582i −0.201409 + 0.348851i
\(202\) −8.28529 + 6.49899i −0.582951 + 0.457267i
\(203\) −15.4288 18.3873i −1.08289 1.29054i
\(204\) −1.62836 + 1.19271i −0.114008 + 0.0835062i
\(205\) 10.9212 + 2.12096i 0.762767 + 0.148134i
\(206\) −13.5443 8.42710i −0.943676 0.587144i
\(207\) 0.0223913 0.126987i 0.00155630 0.00882624i
\(208\) −2.32670 + 1.47899i −0.161328 + 0.102550i
\(209\) 8.23739 7.69907i 0.569792 0.532556i
\(210\) −4.64832 15.0906i −0.320764 1.04135i
\(211\) −0.507885 + 2.88036i −0.0349643 + 0.198292i −0.997286 0.0736198i \(-0.976545\pi\)
0.962322 + 0.271912i \(0.0876560\pi\)
\(212\) 18.1580 + 8.00056i 1.24709 + 0.549480i
\(213\) 2.40788 6.61559i 0.164985 0.453293i
\(214\) 11.9641 6.39108i 0.817848 0.436885i
\(215\) 4.43408 + 3.85318i 0.302402 + 0.262785i
\(216\) 11.1952 + 8.03511i 0.761737 + 0.546720i
\(217\) 13.4456 23.2885i 0.912749 1.58093i
\(218\) 5.84069 + 17.8584i 0.395582 + 1.20952i
\(219\) −2.61962 14.8566i −0.177017 1.00391i
\(220\) −0.961781 + 11.5281i −0.0648433 + 0.777222i
\(221\) −0.330106 + 0.190587i −0.0222054 + 0.0128203i
\(222\) −16.3520 + 18.2314i −1.09747 + 1.22361i
\(223\) −0.702531 1.93019i −0.0470450 0.129255i 0.913945 0.405838i \(-0.133020\pi\)
−0.960990 + 0.276583i \(0.910798\pi\)
\(224\) −5.43415 14.4933i −0.363085 0.968371i
\(225\) 1.53107 + 0.617994i 0.102071 + 0.0411996i
\(226\) 23.6961 + 0.781675i 1.57624 + 0.0519963i
\(227\) 12.0059i 0.796857i −0.917199 0.398428i \(-0.869556\pi\)
0.917199 0.398428i \(-0.130444\pi\)
\(228\) −7.78234 13.8756i −0.515398 0.918932i
\(229\) 14.3495 0.948243 0.474122 0.880459i \(-0.342766\pi\)
0.474122 + 0.880459i \(0.342766\pi\)
\(230\) 0.153061 + 1.22532i 0.0100925 + 0.0807949i
\(231\) 9.89446 + 8.30244i 0.651008 + 0.546260i
\(232\) 24.7408 1.87413i 1.62431 0.123043i
\(233\) −3.31500 9.10788i −0.217173 0.596677i 0.782490 0.622664i \(-0.213949\pi\)
−0.999662 + 0.0259867i \(0.991727\pi\)
\(234\) −0.239616 0.214915i −0.0156642 0.0140494i
\(235\) −3.47694 + 2.81654i −0.226811 + 0.183731i
\(236\) −3.36055 + 13.7037i −0.218753 + 0.892033i
\(237\) −22.1567 + 3.90683i −1.43923 + 0.253776i
\(238\) −0.665233 2.03400i −0.0431206 0.131845i
\(239\) −7.14550 4.12545i −0.462204 0.266853i 0.250767 0.968048i \(-0.419317\pi\)
−0.712970 + 0.701194i \(0.752651\pi\)
\(240\) 15.4745 + 5.19206i 0.998874 + 0.335146i
\(241\) −9.16260 10.9196i −0.590215 0.703391i 0.385432 0.922736i \(-0.374052\pi\)
−0.975647 + 0.219345i \(0.929608\pi\)
\(242\) 2.87123 + 5.37493i 0.184570 + 0.345514i
\(243\) −1.16857 + 3.21061i −0.0749636 + 0.205961i
\(244\) −2.40748 1.06076i −0.154123 0.0679079i
\(245\) 1.08883 + 0.0188231i 0.0695626 + 0.00120256i
\(246\) 1.81157 + 12.7118i 0.115502 + 0.810477i
\(247\) −1.17705 2.76418i −0.0748936 0.175881i
\(248\) 11.4531 + 25.3281i 0.727272 + 1.60834i
\(249\) 2.31192 + 0.407655i 0.146512 + 0.0258341i
\(250\) −15.7545 1.33972i −0.996404 0.0847311i
\(251\) −4.54394 + 12.4844i −0.286811 + 0.788007i 0.709697 + 0.704507i \(0.248832\pi\)
−0.996508 + 0.0834994i \(0.973390\pi\)
\(252\) 1.45787 1.06783i 0.0918369 0.0672669i
\(253\) −0.649270 0.773770i −0.0408192 0.0486465i
\(254\) −17.8753 22.7885i −1.12160 1.42988i
\(255\) 2.10693 + 0.808370i 0.131941 + 0.0506221i
\(256\) 15.4465 + 4.17208i 0.965405 + 0.260755i
\(257\) 0.0276182 + 0.156631i 0.00172278 + 0.00977034i 0.985657 0.168761i \(-0.0539766\pi\)
−0.983934 + 0.178531i \(0.942865\pi\)
\(258\) −2.52767 + 6.29116i −0.157366 + 0.391670i
\(259\) −12.9827 22.4868i −0.806708 1.39726i
\(260\) 2.79883 + 1.29141i 0.173576 + 0.0800899i
\(261\) 0.990745 + 2.72205i 0.0613256 + 0.168491i
\(262\) 0.256198 + 0.0539396i 0.0158279 + 0.00333240i
\(263\) 5.37382 + 4.50917i 0.331364 + 0.278047i 0.793255 0.608889i \(-0.208385\pi\)
−0.461891 + 0.886936i \(0.652829\pi\)
\(264\) −12.9359 + 3.30501i −0.796152 + 0.203409i
\(265\) −3.47409 21.9108i −0.213411 1.34597i
\(266\) 16.5475 3.26927i 1.01459 0.200452i
\(267\) −20.7189 −1.26797
\(268\) 6.22209 0.678274i 0.380074 0.0414322i
\(269\) 4.32068 5.14918i 0.263436 0.313951i −0.618070 0.786123i \(-0.712085\pi\)
0.881507 + 0.472172i \(0.156530\pi\)
\(270\) 0.774039 15.3873i 0.0471065 0.936443i
\(271\) 5.61426 + 15.4251i 0.341042 + 0.937006i 0.985093 + 0.172023i \(0.0550303\pi\)
−0.644051 + 0.764983i \(0.722747\pi\)
\(272\) 2.10907 + 0.667313i 0.127881 + 0.0404618i
\(273\) 2.98054 1.72082i 0.180391 0.104149i
\(274\) 0.378334 0.941641i 0.0228560 0.0568866i
\(275\) 11.4176 6.07576i 0.688508 0.366382i
\(276\) −1.27854 + 0.629710i −0.0769591 + 0.0379041i
\(277\) 17.2303 + 9.94792i 1.03527 + 0.597713i 0.918490 0.395445i \(-0.129410\pi\)
0.116779 + 0.993158i \(0.462743\pi\)
\(278\) −3.45728 4.40754i −0.207354 0.264347i
\(279\) −2.48605 + 2.08605i −0.148836 + 0.124888i
\(280\) −10.3321 + 13.8826i −0.617464 + 0.829645i
\(281\) −7.32284 + 20.1193i −0.436844 + 1.20022i 0.504689 + 0.863301i \(0.331607\pi\)
−0.941534 + 0.336919i \(0.890615\pi\)
\(282\) −4.38494 2.72825i −0.261119 0.162465i
\(283\) 0.697814 3.95750i 0.0414808 0.235249i −0.957018 0.290030i \(-0.906335\pi\)
0.998498 + 0.0547806i \(0.0174459\pi\)
\(284\) −7.40856 + 2.15537i −0.439617 + 0.127898i
\(285\) −8.32986 + 15.7157i −0.493418 + 0.930919i
\(286\) −2.49615 + 0.355728i −0.147600 + 0.0210346i
\(287\) −13.4069 2.36400i −0.791385 0.139542i
\(288\) 0.0180360 + 1.86790i 0.00106278 + 0.110067i
\(289\) −15.6874 5.70974i −0.922787 0.335867i
\(290\) −16.7410 22.1193i −0.983064 1.29889i
\(291\) 9.23251 + 11.0029i 0.541219 + 0.645000i
\(292\) −11.4390 + 11.9374i −0.669418 + 0.698582i
\(293\) 12.0729 20.9108i 0.705305 1.22162i −0.261277 0.965264i \(-0.584143\pi\)
0.966581 0.256360i \(-0.0825232\pi\)
\(294\) 0.390701 + 1.19460i 0.0227862 + 0.0696705i
\(295\) 14.9148 5.13838i 0.868374 0.299168i
\(296\) 26.7090 + 2.65088i 1.55243 + 0.154080i
\(297\) 6.30130 + 10.9142i 0.365638 + 0.633304i
\(298\) −14.8347 13.3055i −0.859353 0.770765i
\(299\) −0.252912 + 0.0920525i −0.0146263 + 0.00532353i
\(300\) −4.48908 17.6881i −0.259177 1.02122i
\(301\) −5.50660 4.62059i −0.317395 0.266326i
\(302\) 21.2953 + 0.702479i 1.22541 + 0.0404231i
\(303\) 13.5879i 0.780607i
\(304\) −7.22824 + 15.8667i −0.414568 + 0.910018i
\(305\) 0.460612 + 2.90504i 0.0263746 + 0.166342i
\(306\) −0.00851484 + 0.258124i −0.000486761 + 0.0147559i
\(307\) −4.07184 + 4.85263i −0.232392 + 0.276954i −0.869620 0.493721i \(-0.835636\pi\)
0.637228 + 0.770675i \(0.280081\pi\)
\(308\) 0.932907 14.1249i 0.0531573 0.804843i
\(309\) −19.3428 + 7.04022i −1.10038 + 0.400504i
\(310\) 16.8717 26.0999i 0.958248 1.48237i
\(311\) −24.9320 + 14.3945i −1.41376 + 0.816236i −0.995740 0.0922011i \(-0.970610\pi\)
−0.418022 + 0.908437i \(0.637276\pi\)
\(312\) −0.351366 + 3.54019i −0.0198922 + 0.200424i
\(313\) −31.2411 + 5.50865i −1.76585 + 0.311367i −0.959844 0.280536i \(-0.909488\pi\)
−0.806009 + 0.591903i \(0.798377\pi\)
\(314\) 8.39162 + 25.6581i 0.473567 + 1.44797i
\(315\) −1.88633 0.723733i −0.106283 0.0407777i
\(316\) 17.8031 + 17.0599i 1.00150 + 0.959692i
\(317\) −22.2893 + 18.7029i −1.25189 + 1.05046i −0.255392 + 0.966838i \(0.582204\pi\)
−0.996498 + 0.0836220i \(0.973351\pi\)
\(318\) 22.5841 12.0642i 1.26645 0.676526i
\(319\) 21.3228 + 7.76087i 1.19385 + 0.434525i
\(320\) −5.43081 17.0442i −0.303592 0.952802i
\(321\) 3.03936 17.2371i 0.169641 0.962081i
\(322\) −0.213187 1.49594i −0.0118804 0.0833653i
\(323\) −1.09194 + 2.14911i −0.0607573 + 0.119580i
\(324\) 18.9764 5.52081i 1.05425 0.306712i
\(325\) −0.480766 3.41253i −0.0266681 0.189293i
\(326\) 11.3692 18.2729i 0.629681 1.01204i
\(327\) 22.7833 + 8.29244i 1.25992 + 0.458573i
\(328\) 10.0660 9.83398i 0.555803 0.542991i
\(329\) 4.19447 3.51958i 0.231248 0.194040i
\(330\) 10.9385 + 10.1575i 0.602147 + 0.559153i
\(331\) 9.41823 16.3128i 0.517673 0.896635i −0.482117 0.876107i \(-0.660132\pi\)
0.999789 0.0205282i \(-0.00653480\pi\)
\(332\) −1.13679 2.30810i −0.0623894 0.126673i
\(333\) 0.544141 + 3.08598i 0.0298187 + 0.169111i
\(334\) 2.22954 5.54913i 0.121995 0.303635i
\(335\) −4.40472 5.43751i −0.240655 0.297083i
\(336\) −19.0429 6.02519i −1.03887 0.328701i
\(337\) 11.2305 4.08757i 0.611764 0.222664i −0.0175107 0.999847i \(-0.505574\pi\)
0.629275 + 0.777183i \(0.283352\pi\)
\(338\) 3.64926 17.3330i 0.198494 0.942788i
\(339\) 19.6654 23.4363i 1.06808 1.27289i
\(340\) −0.649740 2.38636i −0.0352371 0.129418i
\(341\) 25.4217i 1.37666i
\(342\) −2.01150 0.312261i −0.108770 0.0168852i
\(343\) 17.8211 0.962249
\(344\) 7.19929 1.83935i 0.388159 0.0991710i
\(345\) 1.36597 + 0.820445i 0.0735413 + 0.0441713i
\(346\) 1.06662 5.06612i 0.0573416 0.272356i
\(347\) 7.72163 2.81044i 0.414519 0.150872i −0.126338 0.991987i \(-0.540322\pi\)
0.540857 + 0.841115i \(0.318100\pi\)
\(348\) 17.8009 26.6120i 0.954228 1.42655i
\(349\) −1.88320 3.26180i −0.100805 0.174600i 0.811211 0.584753i \(-0.198809\pi\)
−0.912017 + 0.410153i \(0.865475\pi\)
\(350\) 19.3040 + 1.30592i 1.03184 + 0.0698041i
\(351\) 3.30703 0.583118i 0.176516 0.0311245i
\(352\) 11.2995 + 9.29701i 0.602268 + 0.495532i
\(353\) 15.3251 + 8.84794i 0.815672 + 0.470928i 0.848922 0.528519i \(-0.177252\pi\)
−0.0332500 + 0.999447i \(0.510586\pi\)
\(354\) 11.2371 + 14.3257i 0.597243 + 0.761400i
\(355\) 6.51141 + 5.65836i 0.345590 + 0.300315i
\(356\) 13.4177 + 18.3187i 0.711136 + 0.970887i
\(357\) −2.59493 0.944477i −0.137338 0.0499870i
\(358\) −15.1042 + 24.2759i −0.798281 + 1.28302i
\(359\) −27.0391 4.76772i −1.42707 0.251631i −0.593850 0.804576i \(-0.702393\pi\)
−0.833218 + 0.552945i \(0.813504\pi\)
\(360\) 1.74473 1.14789i 0.0919554 0.0604989i
\(361\) −15.7759 10.5887i −0.830310 0.557301i
\(362\) −30.0858 + 4.28755i −1.58128 + 0.225349i
\(363\) 7.74386 + 1.36545i 0.406447 + 0.0716676i
\(364\) −3.45169 1.52084i −0.180917 0.0797138i
\(365\) 18.1458 + 3.52404i 0.949796 + 0.184457i
\(366\) −2.99432 + 1.59953i −0.156516 + 0.0836089i
\(367\) 19.3104 16.2034i 1.00800 0.845809i 0.0199242 0.999801i \(-0.493658\pi\)
0.988072 + 0.153992i \(0.0492131\pi\)
\(368\) 1.38475 + 0.722621i 0.0721852 + 0.0376692i
\(369\) 1.42283 + 0.821471i 0.0740695 + 0.0427641i
\(370\) −13.6796 26.7090i −0.711168 1.38853i
\(371\) 4.71399 + 26.7343i 0.244738 + 1.38798i
\(372\) 34.8371 + 8.54309i 1.80622 + 0.442939i
\(373\) 13.7616 + 23.8359i 0.712551 + 1.23417i 0.963897 + 0.266277i \(0.0857936\pi\)
−0.251345 + 0.967897i \(0.580873\pi\)
\(374\) 1.50605 + 1.35080i 0.0778759 + 0.0698480i
\(375\) −13.9072 + 14.9287i −0.718166 + 0.770915i
\(376\) 0.427522 + 5.64379i 0.0220478 + 0.291056i
\(377\) 3.88644 4.63168i 0.200162 0.238544i
\(378\) −0.621576 + 18.8428i −0.0319704 + 0.969169i
\(379\) −10.8427 −0.556952 −0.278476 0.960443i \(-0.589829\pi\)
−0.278476 + 0.960443i \(0.589829\pi\)
\(380\) 19.2896 2.81274i 0.989535 0.144291i
\(381\) −37.3733 −1.91469
\(382\) −0.289943 + 8.78950i −0.0148348 + 0.449710i
\(383\) 20.9261 24.9387i 1.06927 1.27431i 0.109361 0.994002i \(-0.465120\pi\)
0.959911 0.280306i \(-0.0904359\pi\)
\(384\) 16.5376 12.3602i 0.843931 0.630756i
\(385\) −13.8409 + 7.67519i −0.705400 + 0.391164i
\(386\) −14.4462 12.9570i −0.735295 0.659496i
\(387\) 0.433755 + 0.751286i 0.0220490 + 0.0381900i
\(388\) 3.74919 15.2885i 0.190336 0.776156i
\(389\) 5.36751 + 30.4407i 0.272144 + 1.54340i 0.747891 + 0.663821i \(0.231066\pi\)
−0.475748 + 0.879582i \(0.657823\pi\)
\(390\) 3.54018 1.81318i 0.179264 0.0918140i
\(391\) 0.187021 + 0.107977i 0.00945805 + 0.00546061i
\(392\) 0.803189 1.11907i 0.0405672 0.0565217i
\(393\) 0.258803 0.217161i 0.0130549 0.0109543i
\(394\) 17.0703 9.11876i 0.859988 0.459396i
\(395\) 5.25566 27.0622i 0.264441 1.36165i
\(396\) −0.688816 + 1.56333i −0.0346143 + 0.0785602i
\(397\) 3.15781 + 0.556807i 0.158486 + 0.0279453i 0.252328 0.967642i \(-0.418804\pi\)
−0.0938422 + 0.995587i \(0.529915\pi\)
\(398\) −14.8750 + 2.11985i −0.745618 + 0.106258i
\(399\) 9.85919 19.4044i 0.493577 0.971435i
\(400\) −12.7319 + 15.4240i −0.636593 + 0.771200i
\(401\) 7.29685 + 1.28663i 0.364387 + 0.0642513i 0.352844 0.935682i \(-0.385215\pi\)
0.0115431 + 0.999933i \(0.496326\pi\)
\(402\) 4.26665 6.85750i 0.212801 0.342021i
\(403\) 6.36527 + 2.31677i 0.317077 + 0.115406i
\(404\) 12.0138 8.79965i 0.597710 0.437799i
\(405\) −16.6785 14.4935i −0.828759 0.720185i
\(406\) 20.9505 + 26.7089i 1.03975 + 1.32554i
\(407\) 21.2579 + 12.2732i 1.05371 + 0.608362i
\(408\) 2.35720 1.60990i 0.116699 0.0797020i
\(409\) −15.8416 + 2.79329i −0.783315 + 0.138119i −0.550982 0.834517i \(-0.685747\pi\)
−0.232332 + 0.972636i \(0.574636\pi\)
\(410\) −15.3376 3.50707i −0.757468 0.173202i
\(411\) −0.654746 1.13405i −0.0322962 0.0559387i
\(412\) 18.7512 + 12.5427i 0.923805 + 0.617937i
\(413\) −18.1396 + 6.60228i −0.892592 + 0.324877i
\(414\) −0.0375698 + 0.178446i −0.00184646 + 0.00877013i
\(415\) −1.48112 + 2.46593i −0.0727051 + 0.121048i
\(416\) 3.35762 1.98199i 0.164621 0.0971751i
\(417\) −7.22840 −0.353976
\(418\) −12.0021 + 10.4981i −0.587041 + 0.513480i
\(419\) 33.7665i 1.64960i 0.565424 + 0.824801i \(0.308713\pi\)
−0.565424 + 0.824801i \(0.691287\pi\)
\(420\) 5.86653 + 21.5465i 0.286257 + 1.05136i
\(421\) −23.2641 + 27.7250i −1.13382 + 1.35124i −0.205850 + 0.978584i \(0.565996\pi\)
−0.927971 + 0.372652i \(0.878449\pi\)
\(422\) 0.852167 4.04755i 0.0414829 0.197032i
\(423\) −0.620946 + 0.226006i −0.0301914 + 0.0109888i
\(424\) −25.2922 12.1550i −1.22830 0.590298i
\(425\) −1.84956 + 2.05553i −0.0897169 + 0.0997078i
\(426\) −3.71186 + 9.23850i −0.179840 + 0.447607i
\(427\) −0.625005 3.54458i −0.0302461 0.171534i
\(428\) −17.2086 + 8.47560i −0.831807 + 0.409684i
\(429\) −1.62678 + 2.81766i −0.0785415 + 0.136038i
\(430\) −6.08767 5.65300i −0.293573 0.272612i
\(431\) 18.8061 15.7802i 0.905858 0.760105i −0.0654684 0.997855i \(-0.520854\pi\)
0.971327 + 0.237749i \(0.0764097\pi\)
\(432\) −15.4491 11.8792i −0.743297 0.571537i
\(433\) −4.83707 1.76055i −0.232455 0.0846067i 0.223166 0.974780i \(-0.428361\pi\)
−0.455621 + 0.890174i \(0.650583\pi\)
\(434\) −20.0905 + 32.2901i −0.964375 + 1.54997i
\(435\) −35.7905 0.618727i −1.71602 0.0296657i
\(436\) −7.42284 25.5142i −0.355489 1.22191i
\(437\) −1.02280 + 1.36053i −0.0489273 + 0.0650830i
\(438\) 3.00998 + 21.1211i 0.143822 + 1.00921i
\(439\) 2.13084 12.0846i 0.101700 0.576767i −0.890788 0.454419i \(-0.849847\pi\)
0.992487 0.122347i \(-0.0390422\pi\)
\(440\) 1.89693 16.2494i 0.0904326 0.774662i
\(441\) 0.151121 + 0.0550034i 0.00719622 + 0.00261921i
\(442\) 0.475473 0.253993i 0.0226160 0.0120812i
\(443\) −20.1188 + 16.8817i −0.955872 + 0.802072i −0.980277 0.197631i \(-0.936675\pi\)
0.0244049 + 0.999702i \(0.492231\pi\)
\(444\) 23.9627 25.0067i 1.13722 1.18676i
\(445\) 9.09398 23.7025i 0.431096 1.12361i
\(446\) 0.902992 + 2.76097i 0.0427579 + 0.130736i
\(447\) −25.3236 + 4.46523i −1.19776 + 0.211198i
\(448\) 7.00511 + 20.7388i 0.330961 + 0.979815i
\(449\) −20.9114 + 12.0732i −0.986869 + 0.569769i −0.904337 0.426820i \(-0.859634\pi\)
−0.0825318 + 0.996588i \(0.526301\pi\)
\(450\) −2.13526 0.944888i −0.100657 0.0445425i
\(451\) 12.0936 4.40172i 0.569466 0.207269i
\(452\) −33.4567 2.20971i −1.57367 0.103936i
\(453\) 17.6730 21.0618i 0.830349 0.989571i
\(454\) −0.559784 + 16.9696i −0.0262720 + 0.796423i
\(455\) 0.660396 + 4.16506i 0.0309599 + 0.195261i
\(456\) 10.3530 + 19.9752i 0.484821 + 0.935425i
\(457\) 24.6991i 1.15538i −0.816257 0.577689i \(-0.803955\pi\)
0.816257 0.577689i \(-0.196045\pi\)
\(458\) −20.2823 0.669060i −0.947728 0.0312631i
\(459\) −2.06403 1.73192i −0.0963406 0.0808393i
\(460\) −0.159211 1.73905i −0.00742327 0.0810837i
\(461\) 18.0400 6.56603i 0.840207 0.305810i 0.114166 0.993462i \(-0.463580\pi\)
0.726041 + 0.687651i \(0.241358\pi\)
\(462\) −13.5982 12.1964i −0.632644 0.567427i
\(463\) −12.5649 21.7630i −0.583939 1.01141i −0.995007 0.0998074i \(-0.968177\pi\)
0.411068 0.911605i \(-0.365156\pi\)
\(464\) −35.0571 + 1.49542i −1.62749 + 0.0694233i
\(465\) −13.0627 37.9161i −0.605766 1.75832i
\(466\) 4.26090 + 13.0280i 0.197382 + 0.603513i
\(467\) 0.475449 0.823502i 0.0220012 0.0381071i −0.854815 0.518933i \(-0.826330\pi\)
0.876816 + 0.480825i \(0.159663\pi\)
\(468\) 0.328663 + 0.314942i 0.0151925 + 0.0145582i
\(469\) 5.50418 + 6.55963i 0.254160 + 0.302896i
\(470\) 5.04579 3.81890i 0.232745 0.176153i
\(471\) 32.7339 + 11.9142i 1.50830 + 0.548976i
\(472\) 5.38889 19.2127i 0.248044 0.884336i
\(473\) 6.69229 + 1.18003i 0.307712 + 0.0542579i
\(474\) 31.4995 4.48901i 1.44682 0.206187i
\(475\) −14.3227 16.4274i −0.657172 0.753741i
\(476\) 0.845432 + 2.90597i 0.0387503 + 0.133195i
\(477\) 0.568897 3.22637i 0.0260480 0.147726i
\(478\) 9.90741 + 6.16427i 0.453154 + 0.281947i
\(479\) −8.95565 + 24.6055i −0.409194 + 1.12425i 0.548421 + 0.836202i \(0.315229\pi\)
−0.957615 + 0.288050i \(0.906993\pi\)
\(480\) −21.6303 8.06020i −0.987281 0.367896i
\(481\) 5.01037 4.20420i 0.228453 0.191695i
\(482\) 12.4417 + 15.8614i 0.566704 + 0.722468i
\(483\) −1.68862 0.974924i −0.0768347 0.0443606i
\(484\) −3.80771 7.73104i −0.173078 0.351411i
\(485\) −16.6397 + 5.73263i −0.755571 + 0.260305i
\(486\) 1.80140 4.48354i 0.0817133 0.203377i
\(487\) −6.80434 + 3.92849i −0.308334 + 0.178017i −0.646181 0.763184i \(-0.723635\pi\)
0.337847 + 0.941201i \(0.390301\pi\)
\(488\) 3.35338 + 1.61157i 0.151800 + 0.0729523i
\(489\) −9.49812 26.0959i −0.429520 1.18010i
\(490\) −1.53812 0.0773729i −0.0694851 0.00349535i
\(491\) 6.11989 7.29341i 0.276187 0.329147i −0.610064 0.792352i \(-0.708856\pi\)
0.886251 + 0.463205i \(0.153301\pi\)
\(492\) −1.96785 18.0519i −0.0887177 0.813844i
\(493\) −4.85132 −0.218493
\(494\) 1.53481 + 3.96190i 0.0690542 + 0.178254i
\(495\) 1.88643 0.299105i 0.0847887 0.0134438i
\(496\) −15.0074 36.3339i −0.673850 1.63144i
\(497\) −8.08639 6.78529i −0.362724 0.304362i
\(498\) −3.24877 0.683993i −0.145581 0.0306505i
\(499\) 3.92539 + 10.7849i 0.175724 + 0.482799i 0.996019 0.0891426i \(-0.0284127\pi\)
−0.820294 + 0.571941i \(0.806190\pi\)
\(500\) 22.2057 + 2.62818i 0.993069 + 0.117536i
\(501\) −3.85844 6.68302i −0.172383 0.298575i
\(502\) 7.00470 17.4341i 0.312635 0.778122i
\(503\) 3.92980 + 22.2870i 0.175221 + 0.993728i 0.937888 + 0.346937i \(0.112778\pi\)
−0.762667 + 0.646791i \(0.776111\pi\)
\(504\) −2.11040 + 1.44134i −0.0940048 + 0.0642025i
\(505\) −15.5447 5.96406i −0.691729 0.265397i
\(506\) 0.881629 + 1.12395i 0.0391932 + 0.0499658i
\(507\) −14.6919 17.5092i −0.652492 0.777610i
\(508\) 24.2032 + 33.0438i 1.07385 + 1.46608i
\(509\) −3.07492 + 8.44829i −0.136294 + 0.374464i −0.988998 0.147930i \(-0.952739\pi\)
0.852704 + 0.522394i \(0.174961\pi\)
\(510\) −2.94034 1.24082i −0.130200 0.0549446i
\(511\) −22.2760 3.92786i −0.985431 0.173758i
\(512\) −21.6382 6.61721i −0.956283 0.292442i
\(513\) 15.5151 14.5012i 0.685008 0.640242i
\(514\) −0.0317337 0.222676i −0.00139972 0.00982183i
\(515\) 0.435963 25.2184i 0.0192108 1.11126i
\(516\) 3.86605 8.77435i 0.170194 0.386269i
\(517\) −1.77039 + 4.86410i −0.0778615 + 0.213923i
\(518\) 17.3019 + 32.3891i 0.760202 + 1.42310i
\(519\) −4.29420 5.11763i −0.188494 0.224639i
\(520\) −3.89578 1.95584i −0.170841 0.0857690i
\(521\) 28.9479 + 16.7131i 1.26823 + 0.732213i 0.974653 0.223722i \(-0.0718207\pi\)
0.293578 + 0.955935i \(0.405154\pi\)
\(522\) −1.27345 3.89366i −0.0557372 0.170421i
\(523\) −35.3296 + 6.22956i −1.54485 + 0.272399i −0.880146 0.474704i \(-0.842555\pi\)
−0.664708 + 0.747103i \(0.731444\pi\)
\(524\) −0.359606 0.0881861i −0.0157095 0.00385243i
\(525\) 16.6997 18.5594i 0.728836 0.810000i
\(526\) −7.38535 6.62402i −0.322017 0.288821i
\(527\) −1.85891 5.10731i −0.0809753 0.222478i
\(528\) 18.4383 4.06830i 0.802426 0.177050i
\(529\) −17.5022 14.6861i −0.760966 0.638526i
\(530\) 3.88882 + 31.1316i 0.168919 + 1.35227i
\(531\) 2.32963 0.101097
\(532\) −23.5413 + 3.84939i −1.02065 + 0.166892i
\(533\) 3.42923i 0.148536i
\(534\) 29.2850 + 0.966036i 1.26728 + 0.0418045i
\(535\) 18.3853 + 11.0428i 0.794866 + 0.477422i
\(536\) −8.82620 + 0.668592i −0.381234 + 0.0288788i
\(537\) 12.6184 + 34.6689i 0.544526 + 1.49607i
\(538\) −6.34713 + 7.07663i −0.273644 + 0.305095i
\(539\) 1.09098 0.629878i 0.0469918 0.0271307i
\(540\) −1.81151 + 21.7131i −0.0779550 + 0.934381i
\(541\) −0.791281 4.48758i −0.0340198 0.192936i 0.963062 0.269281i \(-0.0867861\pi\)
−0.997081 + 0.0763450i \(0.975675\pi\)
\(542\) −7.21624 22.0642i −0.309964 0.947740i
\(543\) −19.6074 + 33.9610i −0.841433 + 1.45740i
\(544\) −2.94994 1.04155i −0.126478 0.0446560i
\(545\) −19.4867 + 22.4245i −0.834719 + 0.960560i
\(546\) −4.29306 + 2.29331i −0.183726 + 0.0981445i
\(547\) −11.2318 + 30.8590i −0.480235 + 1.31944i 0.429057 + 0.903278i \(0.358846\pi\)
−0.909292 + 0.416158i \(0.863376\pi\)
\(548\) −0.578659 + 1.31332i −0.0247191 + 0.0561021i
\(549\) −0.0754273 + 0.427769i −0.00321916 + 0.0182568i
\(550\) −16.4214 + 8.05539i −0.700213 + 0.343483i
\(551\) 4.61669 37.9576i 0.196678 1.61705i
\(552\) 1.83651 0.830447i 0.0781669 0.0353462i
\(553\) −5.85790 + 33.2218i −0.249103 + 1.41274i
\(554\) −23.8902 14.8642i −1.01500 0.631520i
\(555\) −38.0123 7.38223i −1.61353 0.313358i
\(556\) 4.68117 + 6.39102i 0.198526 + 0.271040i
\(557\) −1.32626 1.58057i −0.0561953 0.0669710i 0.737215 0.675659i \(-0.236141\pi\)
−0.793410 + 0.608688i \(0.791696\pi\)
\(558\) 3.61116 2.83260i 0.152873 0.119913i
\(559\) 0.905356 1.56812i 0.0382925 0.0663245i
\(560\) 15.2512 19.1406i 0.644481 0.808837i
\(561\) 2.57090 0.453319i 0.108543 0.0191391i
\(562\) 11.2885 28.0962i 0.476177 1.18516i
\(563\) 26.4632 15.2786i 1.11529 0.643915i 0.175098 0.984551i \(-0.443976\pi\)
0.940195 + 0.340636i \(0.110642\pi\)
\(564\) 6.07066 + 4.06069i 0.255621 + 0.170986i
\(565\) 18.1797 + 32.7841i 0.764825 + 1.37924i
\(566\) −1.17084 + 5.56117i −0.0492143 + 0.233754i
\(567\) 20.7127 + 17.3800i 0.869850 + 0.729891i
\(568\) 10.5721 2.70107i 0.443595 0.113334i
\(569\) 7.97165i 0.334189i −0.985941 0.167094i \(-0.946562\pi\)
0.985941 0.167094i \(-0.0534385\pi\)
\(570\) 12.5066 21.8249i 0.523842 0.914145i
\(571\) 42.2091i 1.76640i 0.468999 + 0.883199i \(0.344615\pi\)
−0.468999 + 0.883199i \(0.655385\pi\)
\(572\) 3.54476 0.386416i 0.148214 0.0161569i
\(573\) 8.69312 + 7.29439i 0.363160 + 0.304728i
\(574\) 18.8397 + 3.96649i 0.786354 + 0.165558i
\(575\) −1.53815 + 1.20256i −0.0641453 + 0.0501504i
\(576\) 0.0615998 2.64102i 0.00256666 0.110042i
\(577\) 16.5669 9.56489i 0.689688 0.398192i −0.113807 0.993503i \(-0.536305\pi\)
0.803495 + 0.595311i \(0.202971\pi\)
\(578\) 21.9070 + 8.80184i 0.911212 + 0.366108i
\(579\) −24.6604 + 4.34830i −1.02485 + 0.180709i
\(580\) 22.6311 + 32.0450i 0.939706 + 1.33059i
\(581\) 1.75999 3.04839i 0.0730167 0.126469i
\(582\) −12.5366 15.9824i −0.519660 0.662493i
\(583\) −16.4960 19.6592i −0.683195 0.814200i
\(584\) 16.7250 16.3395i 0.692086 0.676132i
\(585\) 0.0970248 0.499596i 0.00401148 0.0206558i
\(586\) −18.0393 + 28.9934i −0.745198 + 1.19771i
\(587\) 3.85916 21.8864i 0.159285 0.903348i −0.795479 0.605982i \(-0.792781\pi\)
0.954763 0.297367i \(-0.0961084\pi\)
\(588\) −0.496535 1.70672i −0.0204768 0.0703839i
\(589\) 41.7295 9.68413i 1.71943 0.399028i
\(590\) −21.3209 + 6.56740i −0.877766 + 0.270375i
\(591\) 4.33655 24.5938i 0.178382 1.01165i
\(592\) −37.6282 4.99221i −1.54651 0.205179i
\(593\) 6.68355 18.3629i 0.274461 0.754074i −0.723505 0.690319i \(-0.757470\pi\)
0.997966 0.0637551i \(-0.0203076\pi\)
\(594\) −8.39765 15.7204i −0.344560 0.645015i
\(595\) 2.21946 2.55406i 0.0909891 0.104706i
\(596\) 20.3477 + 19.4982i 0.833474 + 0.798678i
\(597\) −9.69427 + 16.7910i −0.396760 + 0.687209i
\(598\) 0.361769 0.118319i 0.0147939 0.00483842i
\(599\) 3.71618 + 21.0755i 0.151839 + 0.861122i 0.961619 + 0.274388i \(0.0884753\pi\)
−0.809780 + 0.586734i \(0.800414\pi\)
\(600\) 5.52035 + 25.2105i 0.225367 + 1.02921i
\(601\) −2.22870 + 1.28674i −0.0909104 + 0.0524871i −0.544766 0.838588i \(-0.683382\pi\)
0.453856 + 0.891075i \(0.350048\pi\)
\(602\) 7.56784 + 6.78769i 0.308442 + 0.276646i
\(603\) −0.353445 0.971083i −0.0143934 0.0395456i
\(604\) −30.0670 1.98583i −1.22341 0.0808023i
\(605\) −4.96104 + 8.25970i −0.201695 + 0.335804i
\(606\) 0.633550 19.2058i 0.0257362 0.780182i
\(607\) 41.1646i 1.67082i −0.549629 0.835409i \(-0.685231\pi\)
0.549629 0.835409i \(-0.314769\pi\)
\(608\) 10.9565 22.0897i 0.444345 0.895856i
\(609\) 43.8027 1.77498
\(610\) −0.515600 4.12759i −0.0208760 0.167121i
\(611\) 1.05657 + 0.886564i 0.0427441 + 0.0358665i
\(612\) 0.0240705 0.364446i 0.000972992 0.0147319i
\(613\) 0.358494 + 0.984953i 0.0144794 + 0.0397819i 0.946722 0.322053i \(-0.104373\pi\)
−0.932242 + 0.361834i \(0.882151\pi\)
\(614\) 5.98158 6.66907i 0.241397 0.269142i
\(615\) −15.7757 + 12.7793i −0.636136 + 0.515310i
\(616\) −1.97720 + 19.9213i −0.0796637 + 0.802653i
\(617\) 23.3255 4.11292i 0.939050 0.165580i 0.316883 0.948465i \(-0.397364\pi\)
0.622167 + 0.782885i \(0.286253\pi\)
\(618\) 27.6683 9.04908i 1.11298 0.364007i
\(619\) 3.88344 + 2.24210i 0.156089 + 0.0901178i 0.576010 0.817443i \(-0.304609\pi\)
−0.419921 + 0.907561i \(0.637942\pi\)
\(620\) −25.0642 + 36.1041i −1.00660 + 1.44998i
\(621\) −1.22290 1.45739i −0.0490732 0.0584831i
\(622\) 35.9111 19.1833i 1.43990 0.769181i
\(623\) −10.6252 + 29.1924i −0.425688 + 1.16957i
\(624\) 0.661700 4.98748i 0.0264892 0.199659i
\(625\) −10.9743 22.4625i −0.438973 0.898500i
\(626\) 44.4144 6.32953i 1.77516 0.252979i
\(627\) 1.10029 + 20.5466i 0.0439412 + 0.820550i
\(628\) −10.6648 36.6575i −0.425570 1.46279i
\(629\) −5.16824 0.911300i −0.206071 0.0363359i
\(630\) 2.63248 + 1.11091i 0.104881 + 0.0442596i
\(631\) 5.62826 15.4635i 0.224057 0.615592i −0.775825 0.630948i \(-0.782666\pi\)
0.999882 + 0.0153560i \(0.00488817\pi\)
\(632\) −24.3682 24.9432i −0.969317 0.992189i
\(633\) −3.43083 4.08870i −0.136363 0.162511i
\(634\) 32.3767 25.3963i 1.28584 1.00861i
\(635\) 16.4040 42.7553i 0.650973 1.69669i
\(636\) −32.4839 + 15.9991i −1.28807 + 0.634404i
\(637\) −0.0582885 0.330570i −0.00230947 0.0130977i
\(638\) −29.7767 11.9638i −1.17887 0.473649i
\(639\) 0.636966 + 1.10326i 0.0251980 + 0.0436442i
\(640\) 6.88145 + 24.3443i 0.272013 + 0.962294i
\(641\) −3.74903 10.3004i −0.148078 0.406840i 0.843372 0.537330i \(-0.180567\pi\)
−0.991450 + 0.130490i \(0.958345\pi\)
\(642\) −5.09967 + 24.2220i −0.201268 + 0.955965i
\(643\) −20.9035 17.5402i −0.824356 0.691716i 0.129632 0.991562i \(-0.458620\pi\)
−0.953988 + 0.299846i \(0.903065\pi\)
\(644\) 0.231578 + 2.12436i 0.00912547 + 0.0837117i
\(645\) −10.5878 + 1.67876i −0.416894 + 0.0661010i
\(646\) 1.64361 2.98674i 0.0646668 0.117512i
\(647\) −8.12098 −0.319269 −0.159634 0.987176i \(-0.551031\pi\)
−0.159634 + 0.987176i \(0.551031\pi\)
\(648\) −27.0796 + 6.91857i −1.06379 + 0.271787i
\(649\) 11.7301 13.9794i 0.460448 0.548741i
\(650\) 0.520423 + 4.84584i 0.0204127 + 0.190069i
\(651\) 16.7841 + 46.1140i 0.657822 + 1.80735i
\(652\) −16.9217 + 25.2977i −0.662706 + 0.990734i
\(653\) 8.02307 4.63212i 0.313967 0.181269i −0.334733 0.942313i \(-0.608646\pi\)
0.648700 + 0.761044i \(0.275313\pi\)
\(654\) −31.8163 12.7832i −1.24412 0.499863i
\(655\) 0.134839 + 0.391389i 0.00526861 + 0.0152928i
\(656\) −14.6863 + 13.4305i −0.573403 + 0.524371i
\(657\) 2.36407 + 1.36490i 0.0922313 + 0.0532498i
\(658\) −6.09275 + 4.77915i −0.237520 + 0.186311i
\(659\) −20.5268 + 17.2240i −0.799610 + 0.670952i −0.948104 0.317961i \(-0.897002\pi\)
0.148494 + 0.988913i \(0.452557\pi\)
\(660\) −14.9874 14.8671i −0.583385 0.578702i
\(661\) 13.9626 38.3620i 0.543083 1.49211i −0.299795 0.954004i \(-0.596918\pi\)
0.842878 0.538105i \(-0.180859\pi\)
\(662\) −14.0727 + 22.6182i −0.546953 + 0.879080i
\(663\) 0.120790 0.685032i 0.00469108 0.0266044i
\(664\) 1.49917 + 3.31537i 0.0581792 + 0.128661i
\(665\) 17.8713 + 19.7960i 0.693020 + 0.767656i
\(666\) −0.625227 4.38723i −0.0242270 0.170002i
\(667\) −3.37344 0.594828i −0.130620 0.0230318i
\(668\) −3.41006 + 7.73943i −0.131939 + 0.299448i
\(669\) 3.52238 + 1.28204i 0.136183 + 0.0495666i
\(670\) 5.97229 + 7.89099i 0.230730 + 0.304856i
\(671\) 2.18713 + 2.60652i 0.0844331 + 0.100623i
\(672\) 26.6351 + 9.40416i 1.02747 + 0.362773i
\(673\) −9.24882 + 16.0194i −0.356516 + 0.617504i −0.987376 0.158393i \(-0.949369\pi\)
0.630860 + 0.775896i \(0.282702\pi\)
\(674\) −16.0643 + 5.25392i −0.618773 + 0.202373i
\(675\) 21.5050 11.4437i 0.827728 0.440467i
\(676\) −5.96620 + 24.3290i −0.229469 + 0.935731i
\(677\) 10.2412 + 17.7383i 0.393602 + 0.681739i 0.992922 0.118771i \(-0.0378954\pi\)
−0.599319 + 0.800510i \(0.704562\pi\)
\(678\) −28.8887 + 32.2090i −1.10946 + 1.23698i
\(679\) 20.2375 7.36583i 0.776642 0.282675i
\(680\) 0.807106 + 3.40328i 0.0309511 + 0.130510i
\(681\) 16.7835 + 14.0831i 0.643146 + 0.539664i
\(682\) 1.18531 35.9322i 0.0453879 1.37591i
\(683\) 31.6147i 1.20970i 0.796338 + 0.604852i \(0.206768\pi\)
−0.796338 + 0.604852i \(0.793232\pi\)
\(684\) 2.82859 + 0.535152i 0.108154 + 0.0204621i
\(685\) 1.58475 0.251272i 0.0605501 0.00960059i
\(686\) −25.1891 0.830926i −0.961726 0.0317249i
\(687\) −16.8322 + 20.0598i −0.642189 + 0.765331i
\(688\) −10.2616 + 2.26414i −0.391218 + 0.0863197i
\(689\) −6.42575 + 2.33878i −0.244801 + 0.0891004i
\(690\) −1.89247 1.22334i −0.0720450 0.0465719i
\(691\) −26.0592 + 15.0453i −0.991340 + 0.572350i −0.905675 0.423974i \(-0.860635\pi\)
−0.0856655 + 0.996324i \(0.527302\pi\)
\(692\) −1.74381 + 7.11095i −0.0662899 + 0.270318i
\(693\) −2.30172 + 0.405856i −0.0874352 + 0.0154172i
\(694\) −11.0451 + 3.61238i −0.419267 + 0.137124i
\(695\) 3.17271 8.26934i 0.120348 0.313674i
\(696\) −26.4014 + 36.7846i −1.00074 + 1.39432i
\(697\) −2.10778 + 1.76864i −0.0798380 + 0.0669921i
\(698\) 2.50972 + 4.69818i 0.0949942 + 0.177829i
\(699\) 16.6209 + 6.04950i 0.628659 + 0.228813i
\(700\) −27.2243 2.74591i −1.02898 0.103786i
\(701\) −0.447131 + 2.53580i −0.0168879 + 0.0957760i −0.992087 0.125555i \(-0.959929\pi\)
0.975199 + 0.221331i \(0.0710400\pi\)
\(702\) −4.70149 + 0.670012i −0.177446 + 0.0252880i
\(703\) 12.0485 39.5700i 0.454416 1.49241i
\(704\) −15.5378 13.6677i −0.585603 0.515119i
\(705\) 0.141142 8.16441i 0.00531572 0.307490i
\(706\) −21.2486 13.2206i −0.799702 0.497564i
\(707\) 19.1451 + 6.96824i 0.720025 + 0.262068i
\(708\) −15.2150 20.7725i −0.571815 0.780677i
\(709\) −6.24268 + 5.23823i −0.234449 + 0.196726i −0.752441 0.658659i \(-0.771124\pi\)
0.517993 + 0.855385i \(0.326679\pi\)
\(710\) −8.93969 8.30138i −0.335500 0.311545i
\(711\) 2.03557 3.52572i 0.0763400 0.132225i
\(712\) −18.1110 26.5180i −0.678740 0.993805i
\(713\) −0.666403 3.77936i −0.0249570 0.141538i
\(714\) 3.62375 + 1.45596i 0.135616 + 0.0544878i
\(715\) −2.50939 3.09778i −0.0938459 0.115850i
\(716\) 22.4808 33.6085i 0.840148 1.25601i
\(717\) 14.1489 5.14979i 0.528402 0.192322i
\(718\) 37.9959 + 7.99963i 1.41800 + 0.298544i
\(719\) −19.6366 + 23.4020i −0.732322 + 0.872748i −0.995766 0.0919271i \(-0.970697\pi\)
0.263443 + 0.964675i \(0.415142\pi\)
\(720\) −2.51960 + 1.54112i −0.0939001 + 0.0574343i
\(721\) 30.8640i 1.14944i
\(722\) 21.8046 + 15.7021i 0.811485 + 0.584373i
\(723\) 26.0128 0.967427
\(724\) 42.7246 4.65744i 1.58785 0.173092i
\(725\) 16.4171 40.6729i 0.609715 1.51055i
\(726\) −10.8819 2.29106i −0.403863 0.0850290i
\(727\) −17.9504 + 6.53342i −0.665745 + 0.242311i −0.652715 0.757604i \(-0.726370\pi\)
−0.0130301 + 0.999915i \(0.504148\pi\)
\(728\) 4.80786 + 2.31057i 0.178191 + 0.0856353i
\(729\) 11.7049 + 20.2735i 0.433515 + 0.750870i
\(730\) −25.4838 5.82710i −0.943198 0.215671i
\(731\) −1.43079 + 0.252287i −0.0529197 + 0.00933117i
\(732\) 4.30689 2.12124i 0.159187 0.0784032i
\(733\) −25.3179 14.6173i −0.935139 0.539903i −0.0467061 0.998909i \(-0.514872\pi\)
−0.888433 + 0.459006i \(0.848206\pi\)
\(734\) −28.0497 + 22.0022i −1.03533 + 0.812116i
\(735\) −1.30352 + 1.50004i −0.0480812 + 0.0553298i
\(736\) −1.92358 1.08595i −0.0709040 0.0400287i
\(737\) −7.60685 2.76867i −0.280202 0.101985i
\(738\) −1.97279 1.22744i −0.0726194 0.0451829i
\(739\) −18.1564 3.20146i −0.667894 0.117768i −0.170587 0.985343i \(-0.554567\pi\)
−0.497307 + 0.867575i \(0.665678\pi\)
\(740\) 18.0900 + 38.3895i 0.665002 + 1.41123i
\(741\) 5.24487 + 1.59698i 0.192675 + 0.0586666i
\(742\) −5.41645 38.0073i −0.198844 1.39529i
\(743\) 37.2186 + 6.56265i 1.36542 + 0.240760i 0.807859 0.589376i \(-0.200626\pi\)
0.557560 + 0.830137i \(0.311738\pi\)
\(744\) −48.8420 13.6995i −1.79063 0.502248i
\(745\) 6.00685 30.9302i 0.220074 1.13320i
\(746\) −18.3400 34.3323i −0.671474 1.25700i
\(747\) −0.325416 + 0.273057i −0.0119064 + 0.00999062i
\(748\) −2.06574 1.97950i −0.0755308 0.0723775i
\(749\) −22.7280 13.1220i −0.830463 0.479468i
\(750\) 20.3532 20.4525i 0.743192 0.746818i
\(751\) −6.53721 37.0744i −0.238546 1.35286i −0.835015 0.550227i \(-0.814541\pi\)
0.596469 0.802636i \(-0.296570\pi\)
\(752\) −0.341132 7.99712i −0.0124398 0.291625i
\(753\) −12.1224 20.9965i −0.441763 0.765156i
\(754\) −5.70923 + 6.36542i −0.207918 + 0.231815i
\(755\) 16.3378 + 29.4625i 0.594593 + 1.07225i
\(756\) 1.75713 26.6043i 0.0639060 0.967588i
\(757\) −19.4845 + 23.2207i −0.708175 + 0.843970i −0.993425 0.114483i \(-0.963479\pi\)
0.285250 + 0.958453i \(0.407923\pi\)
\(758\) 15.3255 + 0.505551i 0.556649 + 0.0183624i
\(759\) 1.84329 0.0669072
\(760\) −27.3959 + 3.07626i −0.993755 + 0.111588i
\(761\) −27.9953 −1.01483 −0.507414 0.861702i \(-0.669399\pi\)
−0.507414 + 0.861702i \(0.669399\pi\)
\(762\) 52.8251 + 1.74257i 1.91365 + 0.0631265i
\(763\) 23.3677 27.8486i 0.845968 1.00819i
\(764\) 0.819638 12.4100i 0.0296535 0.448977i
\(765\) −0.357119 + 0.198032i −0.0129117 + 0.00715988i
\(766\) −30.7406 + 34.2738i −1.11070 + 1.23836i
\(767\) −2.43126 4.21107i −0.0877878 0.152053i
\(768\) −23.9513 +