Properties

Label 380.2.bb.a.219.4
Level $380$
Weight $2$
Character 380.219
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

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 219.4
Character \(\chi\) \(=\) 380.219
Dual form 380.2.bb.a.59.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.36504 + 0.369686i) q^{2} +(1.57099 + 1.87224i) q^{3} +(1.72666 - 1.00927i) q^{4} +(0.572650 + 2.16150i) q^{5} +(-2.83661 - 1.97490i) q^{6} +(-0.614347 + 1.06408i) q^{7} +(-1.98385 + 2.01602i) q^{8} +(-0.516307 + 2.92812i) q^{9} +O(q^{10})\) \(q+(-1.36504 + 0.369686i) q^{2} +(1.57099 + 1.87224i) q^{3} +(1.72666 - 1.00927i) q^{4} +(0.572650 + 2.16150i) q^{5} +(-2.83661 - 1.97490i) q^{6} +(-0.614347 + 1.06408i) q^{7} +(-1.98385 + 2.01602i) q^{8} +(-0.516307 + 2.92812i) q^{9} +(-1.58076 - 2.73883i) q^{10} +(-4.39658 + 2.53837i) q^{11} +(4.60218 + 1.64717i) q^{12} +(-2.56612 - 2.15323i) q^{13} +(0.445233 - 1.67963i) q^{14} +(-3.14721 + 4.46784i) q^{15} +(1.96274 - 3.48535i) q^{16} +(2.68098 - 0.472729i) q^{17} +(-0.377706 - 4.18788i) q^{18} +(4.32744 + 0.522712i) q^{19} +(3.17031 + 3.15422i) q^{20} +(-2.95735 + 0.521460i) q^{21} +(5.06311 - 5.09033i) q^{22} +(1.81714 - 0.661384i) q^{23} +(-6.89109 - 0.547090i) q^{24} +(-4.34414 + 2.47556i) q^{25} +(4.29888 + 1.99059i) q^{26} +(0.0565226 - 0.0326334i) q^{27} +(0.0131743 + 2.45735i) q^{28} +(-1.46771 - 0.258797i) q^{29} +(2.64437 - 7.26225i) q^{30} +(2.22719 - 3.85761i) q^{31} +(-1.39074 + 5.48323i) q^{32} +(-11.6594 - 4.24369i) q^{33} +(-3.48488 + 1.63641i) q^{34} +(-2.65181 - 0.718564i) q^{35} +(2.06378 + 5.57698i) q^{36} +7.08465 q^{37} +(-6.10037 + 0.886272i) q^{38} -8.18711i q^{39} +(-5.49367 - 3.13362i) q^{40} +(6.26945 + 7.47164i) q^{41} +(3.84412 - 1.80510i) q^{42} +(-6.67232 - 2.42852i) q^{43} +(-5.02952 + 8.82026i) q^{44} +(-6.62480 + 0.560794i) q^{45} +(-2.23596 + 1.57459i) q^{46} +(-0.254086 + 1.44100i) q^{47} +(9.60885 - 1.80074i) q^{48} +(2.74515 + 4.75475i) q^{49} +(5.01475 - 4.98521i) q^{50} +(5.09686 + 4.27677i) q^{51} +(-6.60403 - 1.12800i) q^{52} +(-6.76600 + 2.46262i) q^{53} +(-0.0650915 + 0.0654414i) q^{54} +(-8.00438 - 8.04961i) q^{55} +(-0.926432 - 3.34951i) q^{56} +(5.81975 + 8.92318i) q^{57} +(2.09916 - 0.189324i) q^{58} +(0.802731 + 4.55252i) q^{59} +(-0.924913 + 10.8908i) q^{60} +(-9.63632 + 3.50733i) q^{61} +(-1.61410 + 6.08915i) q^{62} +(-2.79857 - 2.34828i) q^{63} +(-0.128662 - 7.99897i) q^{64} +(3.18472 - 6.77972i) q^{65} +(17.4844 + 1.48247i) q^{66} +(-1.39644 - 0.246230i) q^{67} +(4.15204 - 3.52208i) q^{68} +(4.09298 + 2.36308i) q^{69} +(3.88547 + 0.000530587i) q^{70} +(12.4030 + 4.51431i) q^{71} +(-4.87888 - 6.84985i) q^{72} +(2.85926 + 3.40754i) q^{73} +(-9.67082 + 2.61909i) q^{74} +(-11.4595 - 4.24417i) q^{75} +(7.99960 - 3.46502i) q^{76} -6.23776i q^{77} +(3.02666 + 11.1757i) q^{78} +(9.39773 - 7.88563i) q^{79} +(8.65753 + 2.24658i) q^{80} +(8.53185 + 3.10534i) q^{81} +(-11.3202 - 7.88136i) q^{82} +(8.42829 - 14.5982i) q^{83} +(-4.58005 + 3.88515i) q^{84} +(2.55706 + 5.52422i) q^{85} +(10.0058 + 0.848371i) q^{86} +(-1.82124 - 3.15447i) q^{87} +(3.60477 - 13.8993i) q^{88} +(1.86570 - 2.22346i) q^{89} +(8.83579 - 3.21460i) q^{90} +(3.86770 - 1.40773i) q^{91} +(2.47007 - 2.97597i) q^{92} +(10.7213 - 1.89045i) q^{93} +(-0.185878 - 2.06095i) q^{94} +(1.34827 + 9.65309i) q^{95} +(-12.4508 + 6.01033i) q^{96} +(0.425065 + 2.41066i) q^{97} +(-5.50501 - 5.47557i) q^{98} +(-5.16267 - 14.1843i) 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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36504 + 0.369686i −0.965229 + 0.261407i
\(3\) 1.57099 + 1.87224i 0.907014 + 1.08094i 0.996386 + 0.0849386i \(0.0270694\pi\)
−0.0893724 + 0.995998i \(0.528486\pi\)
\(4\) 1.72666 1.00927i 0.863332 0.504636i
\(5\) 0.572650 + 2.16150i 0.256097 + 0.966651i
\(6\) −2.83661 1.97490i −1.15804 0.806251i
\(7\) −0.614347 + 1.06408i −0.232201 + 0.402185i −0.958456 0.285241i \(-0.907926\pi\)
0.726254 + 0.687426i \(0.241260\pi\)
\(8\) −1.98385 + 2.01602i −0.701398 + 0.712770i
\(9\) −0.516307 + 2.92812i −0.172102 + 0.976041i
\(10\) −1.58076 2.73883i −0.499882 0.866094i
\(11\) −4.39658 + 2.53837i −1.32562 + 0.765347i −0.984619 0.174716i \(-0.944099\pi\)
−0.341001 + 0.940063i \(0.610766\pi\)
\(12\) 4.60218 + 1.64717i 1.32853 + 0.475496i
\(13\) −2.56612 2.15323i −0.711714 0.597199i 0.213365 0.976972i \(-0.431558\pi\)
−0.925080 + 0.379773i \(0.876002\pi\)
\(14\) 0.445233 1.67963i 0.118993 0.448899i
\(15\) −3.14721 + 4.46784i −0.812605 + 1.15359i
\(16\) 1.96274 3.48535i 0.490686 0.871337i
\(17\) 2.68098 0.472729i 0.650232 0.114654i 0.161204 0.986921i \(-0.448462\pi\)
0.489029 + 0.872268i \(0.337351\pi\)
\(18\) −0.377706 4.18788i −0.0890262 0.987092i
\(19\) 4.32744 + 0.522712i 0.992784 + 0.119918i
\(20\) 3.17031 + 3.15422i 0.708903 + 0.705306i
\(21\) −2.95735 + 0.521460i −0.645346 + 0.113792i
\(22\) 5.06311 5.09033i 1.07946 1.08526i
\(23\) 1.81714 0.661384i 0.378899 0.137908i −0.145547 0.989351i \(-0.546494\pi\)
0.524447 + 0.851443i \(0.324272\pi\)
\(24\) −6.89109 0.547090i −1.40664 0.111674i
\(25\) −4.34414 + 2.47556i −0.868829 + 0.495113i
\(26\) 4.29888 + 1.99059i 0.843079 + 0.390386i
\(27\) 0.0565226 0.0326334i 0.0108778 0.00628029i
\(28\) 0.0131743 + 2.45735i 0.00248971 + 0.464396i
\(29\) −1.46771 0.258797i −0.272547 0.0480574i 0.0357040 0.999362i \(-0.488633\pi\)
−0.308251 + 0.951305i \(0.599744\pi\)
\(30\) 2.64437 7.26225i 0.482793 1.32590i
\(31\) 2.22719 3.85761i 0.400015 0.692847i −0.593712 0.804678i \(-0.702338\pi\)
0.993727 + 0.111831i \(0.0356715\pi\)
\(32\) −1.39074 + 5.48323i −0.245850 + 0.969308i
\(33\) −11.6594 4.24369i −2.02965 0.738731i
\(34\) −3.48488 + 1.63641i −0.597652 + 0.280642i
\(35\) −2.65181 0.718564i −0.448238 0.121460i
\(36\) 2.06378 + 5.57698i 0.343964 + 0.929497i
\(37\) 7.08465 1.16471 0.582354 0.812935i \(-0.302132\pi\)
0.582354 + 0.812935i \(0.302132\pi\)
\(38\) −6.10037 + 0.886272i −0.989611 + 0.143772i
\(39\) 8.18711i 1.31099i
\(40\) −5.49367 3.13362i −0.868626 0.495469i
\(41\) 6.26945 + 7.47164i 0.979124 + 1.16687i 0.985974 + 0.166898i \(0.0533750\pi\)
−0.00685047 + 0.999977i \(0.502181\pi\)
\(42\) 3.84412 1.80510i 0.593161 0.278533i
\(43\) −6.67232 2.42852i −1.01752 0.370346i −0.221203 0.975228i \(-0.570998\pi\)
−0.796316 + 0.604881i \(0.793221\pi\)
\(44\) −5.02952 + 8.82026i −0.758229 + 1.32970i
\(45\) −6.62480 + 0.560794i −0.987566 + 0.0835982i
\(46\) −2.23596 + 1.57459i −0.329674 + 0.232160i
\(47\) −0.254086 + 1.44100i −0.0370623 + 0.210191i −0.997715 0.0675612i \(-0.978478\pi\)
0.960653 + 0.277752i \(0.0895893\pi\)
\(48\) 9.60885 1.80074i 1.38692 0.259914i
\(49\) 2.74515 + 4.75475i 0.392165 + 0.679250i
\(50\) 5.01475 4.98521i 0.709192 0.705015i
\(51\) 5.09686 + 4.27677i 0.713703 + 0.598868i
\(52\) −6.60403 1.12800i −0.915814 0.156425i
\(53\) −6.76600 + 2.46262i −0.929381 + 0.338267i −0.761964 0.647619i \(-0.775765\pi\)
−0.167417 + 0.985886i \(0.553543\pi\)
\(54\) −0.0650915 + 0.0654414i −0.00885784 + 0.00890545i
\(55\) −8.00438 8.04961i −1.07931 1.08541i
\(56\) −0.926432 3.34951i −0.123800 0.447598i
\(57\) 5.81975 + 8.92318i 0.770844 + 1.18190i
\(58\) 2.09916 0.189324i 0.275633 0.0248594i
\(59\) 0.802731 + 4.55252i 0.104507 + 0.592687i 0.991416 + 0.130744i \(0.0417365\pi\)
−0.886909 + 0.461943i \(0.847152\pi\)
\(60\) −0.924913 + 10.8908i −0.119406 + 1.40600i
\(61\) −9.63632 + 3.50733i −1.23380 + 0.449068i −0.874899 0.484306i \(-0.839072\pi\)
−0.358906 + 0.933374i \(0.616850\pi\)
\(62\) −1.61410 + 6.08915i −0.204991 + 0.773323i
\(63\) −2.79857 2.34828i −0.352587 0.295855i
\(64\) −0.128662 7.99897i −0.0160827 0.999871i
\(65\) 3.18472 6.77972i 0.395015 0.840920i
\(66\) 17.4844 + 1.48247i 2.15218 + 0.182480i
\(67\) −1.39644 0.246230i −0.170602 0.0300818i 0.0876943 0.996147i \(-0.472050\pi\)
−0.258297 + 0.966066i \(0.583161\pi\)
\(68\) 4.15204 3.52208i 0.503508 0.427115i
\(69\) 4.09298 + 2.36308i 0.492737 + 0.284482i
\(70\) 3.88547 0.000530587i 0.464403 6.34173e-5i
\(71\) 12.4030 + 4.51431i 1.47196 + 0.535750i 0.948633 0.316380i \(-0.102467\pi\)
0.523330 + 0.852130i \(0.324690\pi\)
\(72\) −4.87888 6.84985i −0.574981 0.807263i
\(73\) 2.85926 + 3.40754i 0.334651 + 0.398822i 0.906960 0.421216i \(-0.138397\pi\)
−0.572309 + 0.820038i \(0.693952\pi\)
\(74\) −9.67082 + 2.61909i −1.12421 + 0.304463i
\(75\) −11.4595 4.24417i −1.32323 0.490075i
\(76\) 7.99960 3.46502i 0.917618 0.397465i
\(77\) 6.23776i 0.710858i
\(78\) 3.02666 + 11.1757i 0.342701 + 1.26540i
\(79\) 9.39773 7.88563i 1.05733 0.887203i 0.0634820 0.997983i \(-0.479779\pi\)
0.993845 + 0.110780i \(0.0353350\pi\)
\(80\) 8.65753 + 2.24658i 0.967942 + 0.251175i
\(81\) 8.53185 + 3.10534i 0.947983 + 0.345038i
\(82\) −11.3202 7.88136i −1.25011 0.870350i
\(83\) 8.42829 14.5982i 0.925125 1.60236i 0.133764 0.991013i \(-0.457294\pi\)
0.791361 0.611349i \(-0.209373\pi\)
\(84\) −4.58005 + 3.88515i −0.499725 + 0.423905i
\(85\) 2.55706 + 5.52422i 0.277352 + 0.599185i
\(86\) 10.0058 + 0.848371i 1.07895 + 0.0914822i
\(87\) −1.82124 3.15447i −0.195257 0.338195i
\(88\) 3.60477 13.8993i 0.384270 1.48167i
\(89\) 1.86570 2.22346i 0.197764 0.235686i −0.658044 0.752979i \(-0.728616\pi\)
0.855808 + 0.517293i \(0.173060\pi\)
\(90\) 8.83579 3.21460i 0.931374 0.338848i
\(91\) 3.86770 1.40773i 0.405445 0.147570i
\(92\) 2.47007 2.97597i 0.257523 0.310267i
\(93\) 10.7213 1.89045i 1.11174 0.196030i
\(94\) −0.185878 2.06095i −0.0191718 0.212570i
\(95\) 1.34827 + 9.65309i 0.138330 + 0.990386i
\(96\) −12.4508 + 6.01033i −1.27075 + 0.613427i
\(97\) 0.425065 + 2.41066i 0.0431588 + 0.244766i 0.998753 0.0499193i \(-0.0158964\pi\)
−0.955594 + 0.294685i \(0.904785\pi\)
\(98\) −5.50501 5.47557i −0.556090 0.553116i
\(99\) −5.16267 14.1843i −0.518868 1.42558i
\(100\) −5.00237 + 8.65889i −0.500237 + 0.865889i
\(101\) −11.6631 9.78652i −1.16052 0.973795i −0.160611 0.987018i \(-0.551347\pi\)
−0.999913 + 0.0132227i \(0.995791\pi\)
\(102\) −8.53847 3.95373i −0.845435 0.391477i
\(103\) −1.32306 + 0.763870i −0.130365 + 0.0752663i −0.563764 0.825936i \(-0.690647\pi\)
0.433399 + 0.901202i \(0.357314\pi\)
\(104\) 9.43176 0.901656i 0.924860 0.0884146i
\(105\) −2.82066 6.09369i −0.275268 0.594683i
\(106\) 8.32545 5.86287i 0.808640 0.569452i
\(107\) 9.92652 + 5.73108i 0.959632 + 0.554044i 0.896060 0.443933i \(-0.146417\pi\)
0.0635725 + 0.997977i \(0.479751\pi\)
\(108\) 0.0646597 0.113394i 0.00622189 0.0109113i
\(109\) 3.19483 8.77771i 0.306009 0.840752i −0.687416 0.726264i \(-0.741255\pi\)
0.993425 0.114488i \(-0.0365228\pi\)
\(110\) 13.9021 + 8.02892i 1.32551 + 0.765528i
\(111\) 11.1299 + 13.2641i 1.05641 + 1.25898i
\(112\) 2.50288 + 4.22973i 0.236500 + 0.399672i
\(113\) 2.79286 0.262730 0.131365 0.991334i \(-0.458064\pi\)
0.131365 + 0.991334i \(0.458064\pi\)
\(114\) −11.2430 10.0290i −1.05300 0.939303i
\(115\) 2.47016 + 3.54900i 0.230344 + 0.330946i
\(116\) −2.79544 + 1.03446i −0.259550 + 0.0960475i
\(117\) 7.62984 6.40220i 0.705379 0.591883i
\(118\) −2.77876 5.91761i −0.255806 0.544760i
\(119\) −1.14403 + 3.14320i −0.104873 + 0.288136i
\(120\) −2.76365 15.2084i −0.252285 1.38833i
\(121\) 7.38662 12.7940i 0.671511 1.16309i
\(122\) 11.8573 8.35006i 1.07351 0.755979i
\(123\) −4.13942 + 23.4758i −0.373239 + 2.11674i
\(124\) −0.0477608 8.90864i −0.00428905 0.800019i
\(125\) −7.83860 7.97222i −0.701106 0.713057i
\(126\) 4.68828 + 2.17090i 0.417665 + 0.193399i
\(127\) 6.00419 7.15552i 0.532786 0.634950i −0.430768 0.902463i \(-0.641757\pi\)
0.963554 + 0.267513i \(0.0862018\pi\)
\(128\) 3.13273 + 10.8713i 0.276897 + 0.960900i
\(129\) −5.93539 16.3074i −0.522582 1.43578i
\(130\) −1.84090 + 10.4319i −0.161457 + 0.914940i
\(131\) −13.7308 + 2.42111i −1.19967 + 0.211534i −0.737554 0.675288i \(-0.764019\pi\)
−0.462112 + 0.886821i \(0.652908\pi\)
\(132\) −24.4150 + 4.44011i −2.12505 + 0.386462i
\(133\) −3.21476 + 4.28362i −0.278755 + 0.371437i
\(134\) 1.99723 0.180131i 0.172534 0.0155609i
\(135\) 0.102905 + 0.103486i 0.00885662 + 0.00890666i
\(136\) −4.36563 + 6.34272i −0.374350 + 0.543884i
\(137\) 7.69366 + 21.1382i 0.657314 + 1.80596i 0.588760 + 0.808308i \(0.299616\pi\)
0.0685538 + 0.997647i \(0.478162\pi\)
\(138\) −6.46068 1.71258i −0.549969 0.145785i
\(139\) −6.99690 + 8.33858i −0.593469 + 0.707269i −0.976269 0.216562i \(-0.930516\pi\)
0.382800 + 0.923831i \(0.374960\pi\)
\(140\) −5.30402 + 1.43568i −0.448272 + 0.121337i
\(141\) −3.09705 + 1.78808i −0.260819 + 0.150584i
\(142\) −18.5994 1.57701i −1.56083 0.132340i
\(143\) 16.7479 + 2.95310i 1.40053 + 0.246951i
\(144\) 9.19215 + 7.54666i 0.766013 + 0.628889i
\(145\) −0.281096 3.32066i −0.0233437 0.275765i
\(146\) −5.16272 3.59439i −0.427270 0.297474i
\(147\) −4.58940 + 12.6093i −0.378527 + 1.03999i
\(148\) 12.2328 7.15033i 1.00553 0.587753i
\(149\) −8.92176 + 7.48625i −0.730899 + 0.613297i −0.930377 0.366605i \(-0.880520\pi\)
0.199477 + 0.979902i \(0.436076\pi\)
\(150\) 17.2116 + 1.55706i 1.40532 + 0.127134i
\(151\) −3.65976 −0.297827 −0.148914 0.988850i \(-0.547578\pi\)
−0.148914 + 0.988850i \(0.547578\pi\)
\(152\) −9.63881 + 7.68722i −0.781810 + 0.623516i
\(153\) 8.09431i 0.654386i
\(154\) 2.30601 + 8.51479i 0.185824 + 0.686141i
\(155\) 9.61361 + 2.60501i 0.772184 + 0.209239i
\(156\) −8.26301 14.1364i −0.661570 1.13182i
\(157\) 4.27828 11.7545i 0.341444 0.938108i −0.643533 0.765419i \(-0.722532\pi\)
0.984976 0.172690i \(-0.0552458\pi\)
\(158\) −9.91306 + 14.2384i −0.788641 + 1.13275i
\(159\) −15.2400 8.79879i −1.20861 0.697789i
\(160\) −12.6484 + 0.133897i −0.999944 + 0.0105855i
\(161\) −0.412588 + 2.33990i −0.0325165 + 0.184410i
\(162\) −12.7943 1.08481i −1.00522 0.0852304i
\(163\) 2.28204 + 3.95261i 0.178743 + 0.309592i 0.941450 0.337152i \(-0.109464\pi\)
−0.762707 + 0.646744i \(0.776130\pi\)
\(164\) 18.3662 + 6.57344i 1.43416 + 0.513300i
\(165\) 2.49594 27.6320i 0.194309 2.15115i
\(166\) −6.10819 + 23.0430i −0.474087 + 1.78848i
\(167\) −7.21421 19.8209i −0.558252 1.53378i −0.822171 0.569240i \(-0.807238\pi\)
0.263919 0.964545i \(-0.414985\pi\)
\(168\) 4.81567 6.99657i 0.371537 0.539797i
\(169\) −0.308852 1.75159i −0.0237578 0.134737i
\(170\) −5.53272 6.59546i −0.424340 0.505849i
\(171\) −3.76486 + 12.4014i −0.287906 + 0.948360i
\(172\) −13.9719 + 2.54093i −1.06535 + 0.193744i
\(173\) −4.49084 25.4688i −0.341432 1.93636i −0.350928 0.936402i \(-0.614134\pi\)
0.00949634 0.999955i \(-0.496977\pi\)
\(174\) 3.65222 + 3.63270i 0.276874 + 0.275394i
\(175\) 0.0346137 6.14338i 0.00261655 0.464396i
\(176\) 0.217732 + 20.3058i 0.0164122 + 1.53061i
\(177\) −7.26231 + 8.65488i −0.545868 + 0.650541i
\(178\) −1.72478 + 3.72483i −0.129278 + 0.279188i
\(179\) 7.94883 + 13.7678i 0.594124 + 1.02905i 0.993670 + 0.112339i \(0.0358343\pi\)
−0.399546 + 0.916713i \(0.630832\pi\)
\(180\) −10.8728 + 7.65452i −0.810412 + 0.570534i
\(181\) 10.5151 + 1.85410i 0.781581 + 0.137814i 0.550182 0.835045i \(-0.314558\pi\)
0.231399 + 0.972859i \(0.425670\pi\)
\(182\) −4.75915 + 3.35144i −0.352772 + 0.248425i
\(183\) −21.7052 12.5315i −1.60449 0.926354i
\(184\) −2.27157 + 4.97547i −0.167462 + 0.366797i
\(185\) 4.05702 + 15.3134i 0.298278 + 1.12587i
\(186\) −13.9361 + 6.54403i −1.02184 + 0.479832i
\(187\) −10.5872 + 8.88370i −0.774211 + 0.649640i
\(188\) 1.01563 + 2.74456i 0.0740727 + 0.200167i
\(189\) 0.0801929i 0.00583317i
\(190\) −5.40905 12.6784i −0.392414 0.919789i
\(191\) 11.3056i 0.818043i −0.912525 0.409021i \(-0.865870\pi\)
0.912525 0.409021i \(-0.134130\pi\)
\(192\) 14.7738 12.8072i 1.06621 0.924281i
\(193\) 5.70834 4.78987i 0.410896 0.344782i −0.413791 0.910372i \(-0.635796\pi\)
0.824687 + 0.565589i \(0.191351\pi\)
\(194\) −1.47142 3.13351i −0.105642 0.224973i
\(195\) 17.6964 4.68835i 1.26727 0.335739i
\(196\) 9.53879 + 5.43925i 0.681342 + 0.388518i
\(197\) 4.25335 + 2.45567i 0.303038 + 0.174959i 0.643807 0.765188i \(-0.277354\pi\)
−0.340769 + 0.940147i \(0.610687\pi\)
\(198\) 12.2910 + 17.4536i 0.873482 + 1.24037i
\(199\) 3.57466 + 0.630309i 0.253401 + 0.0446814i 0.298906 0.954283i \(-0.403378\pi\)
−0.0455045 + 0.998964i \(0.514490\pi\)
\(200\) 3.62736 13.6690i 0.256493 0.966546i
\(201\) −1.73280 3.00130i −0.122222 0.211695i
\(202\) 19.5386 + 9.04729i 1.37473 + 0.636565i
\(203\) 1.17707 1.40277i 0.0826138 0.0984553i
\(204\) 13.1170 + 2.24044i 0.918373 + 0.156862i
\(205\) −12.5597 + 17.8300i −0.877210 + 1.24530i
\(206\) 1.52364 1.53183i 0.106157 0.106728i
\(207\) 0.998413 + 5.66228i 0.0693945 + 0.393556i
\(208\) −12.5414 + 4.71758i −0.869590 + 0.327106i
\(209\) −20.3528 + 8.68650i −1.40783 + 0.600858i
\(210\) 6.10306 + 7.27536i 0.421151 + 0.502048i
\(211\) −1.98570 11.2615i −0.136701 0.775271i −0.973660 0.228005i \(-0.926780\pi\)
0.836959 0.547266i \(-0.184331\pi\)
\(212\) −9.19715 + 11.0808i −0.631663 + 0.761036i
\(213\) 11.0331 + 30.3133i 0.755978 + 2.07703i
\(214\) −15.6688 4.15345i −1.07110 0.283924i
\(215\) 1.42835 15.8129i 0.0974125 1.07843i
\(216\) −0.0463431 + 0.178690i −0.00315325 + 0.0121583i
\(217\) 2.73654 + 4.73982i 0.185768 + 0.321760i
\(218\) −1.11607 + 13.1630i −0.0755896 + 0.891511i
\(219\) −1.88783 + 10.7064i −0.127568 + 0.723474i
\(220\) −21.9451 5.82038i −1.47954 0.392410i
\(221\) −7.89761 4.55969i −0.531251 0.306718i
\(222\) −20.0964 13.9915i −1.34878 0.939048i
\(223\) 0.534822 1.46941i 0.0358143 0.0983990i −0.920497 0.390751i \(-0.872216\pi\)
0.956311 + 0.292352i \(0.0944377\pi\)
\(224\) −4.98021 4.84847i −0.332754 0.323952i
\(225\) −5.00584 13.9983i −0.333723 0.933223i
\(226\) −3.81237 + 1.03248i −0.253595 + 0.0686796i
\(227\) 7.28225i 0.483340i 0.970359 + 0.241670i \(0.0776951\pi\)
−0.970359 + 0.241670i \(0.922305\pi\)
\(228\) 19.0547 + 9.53364i 1.26193 + 0.631381i
\(229\) 11.6990 0.773093 0.386546 0.922270i \(-0.373668\pi\)
0.386546 + 0.922270i \(0.373668\pi\)
\(230\) −4.68388 3.93134i −0.308846 0.259225i
\(231\) 11.6786 9.79948i 0.768393 0.644758i
\(232\) 3.43346 2.44552i 0.225418 0.160556i
\(233\) 9.21904 25.3291i 0.603959 1.65936i −0.139211 0.990263i \(-0.544457\pi\)
0.743171 0.669102i \(-0.233321\pi\)
\(234\) −8.04823 + 11.5599i −0.526129 + 0.755694i
\(235\) −3.26021 + 0.275979i −0.212673 + 0.0180029i
\(236\) 5.98077 + 7.05050i 0.389315 + 0.458948i
\(237\) 29.5275 + 5.20650i 1.91802 + 0.338199i
\(238\) 0.399651 4.71352i 0.0259055 0.305532i
\(239\) −18.1863 + 10.4998i −1.17637 + 0.679178i −0.955172 0.296051i \(-0.904330\pi\)
−0.221199 + 0.975229i \(0.570997\pi\)
\(240\) 9.39480 + 19.7383i 0.606432 + 1.27410i
\(241\) −3.42199 + 4.07816i −0.220430 + 0.262698i −0.864914 0.501919i \(-0.832627\pi\)
0.644485 + 0.764617i \(0.277072\pi\)
\(242\) −5.35327 + 20.1951i −0.344121 + 1.29819i
\(243\) 7.52258 + 20.6681i 0.482574 + 1.32586i
\(244\) −13.0988 + 15.7817i −0.838567 + 1.01032i
\(245\) −8.70536 + 8.65645i −0.556165 + 0.553040i
\(246\) −3.02820 33.5757i −0.193071 2.14071i
\(247\) −9.97923 10.6593i −0.634963 0.678237i
\(248\) 3.35859 + 12.1430i 0.213271 + 0.771080i
\(249\) 40.5721 7.15396i 2.57115 0.453364i
\(250\) 13.6472 + 7.98458i 0.863126 + 0.504989i
\(251\) −7.14389 19.6277i −0.450918 1.23889i −0.932079 0.362255i \(-0.882007\pi\)
0.481161 0.876632i \(-0.340215\pi\)
\(252\) −7.20224 1.23017i −0.453698 0.0774937i
\(253\) −6.31036 + 7.52039i −0.396729 + 0.472803i
\(254\) −5.55067 + 11.9872i −0.348280 + 0.752146i
\(255\) −6.32552 + 13.4659i −0.396119 + 0.843270i
\(256\) −8.29528 13.6817i −0.518455 0.855105i
\(257\) 1.93740 10.9875i 0.120852 0.685383i −0.862834 0.505487i \(-0.831313\pi\)
0.983686 0.179896i \(-0.0575761\pi\)
\(258\) 14.1306 + 20.0660i 0.879735 + 1.24925i
\(259\) −4.35243 + 7.53863i −0.270447 + 0.468428i
\(260\) −1.34364 14.9205i −0.0833287 0.925333i
\(261\) 1.51558 4.16402i 0.0938121 0.257747i
\(262\) 17.8480 8.38100i 1.10266 0.517780i
\(263\) −15.5022 + 13.0079i −0.955905 + 0.802100i −0.980282 0.197603i \(-0.936684\pi\)
0.0243768 + 0.999703i \(0.492240\pi\)
\(264\) 31.6859 15.0868i 1.95013 0.928527i
\(265\) −9.19750 13.2145i −0.564998 0.811758i
\(266\) 2.80468 7.03577i 0.171966 0.431390i
\(267\) 7.09385 0.434137
\(268\) −2.65970 + 0.984231i −0.162467 + 0.0601215i
\(269\) −9.73420 11.6008i −0.593504 0.707311i 0.382771 0.923843i \(-0.374970\pi\)
−0.976275 + 0.216532i \(0.930525\pi\)
\(270\) −0.178726 0.103220i −0.0108769 0.00628178i
\(271\) 4.26546 11.7192i 0.259108 0.711894i −0.740115 0.672480i \(-0.765229\pi\)
0.999223 0.0394133i \(-0.0125489\pi\)
\(272\) 3.61444 10.2720i 0.219158 0.622830i
\(273\) 8.71174 + 5.02973i 0.527259 + 0.304413i
\(274\) −18.3166 26.0102i −1.10655 1.57133i
\(275\) 12.8155 21.9111i 0.772803 1.32129i
\(276\) 9.45220 0.0506750i 0.568955 0.00305028i
\(277\) 14.1483 8.16854i 0.850091 0.490800i −0.0105907 0.999944i \(-0.503371\pi\)
0.860681 + 0.509144i \(0.170038\pi\)
\(278\) 6.46839 13.9691i 0.387948 0.837814i
\(279\) 10.1456 + 8.51320i 0.607404 + 0.509672i
\(280\) 6.70945 3.92058i 0.400966 0.234300i
\(281\) −8.41823 23.1289i −0.502190 1.37975i −0.889132 0.457651i \(-0.848691\pi\)
0.386942 0.922104i \(-0.373531\pi\)
\(282\) 3.56657 3.58574i 0.212386 0.213528i
\(283\) −1.00523 5.70097i −0.0597550 0.338887i 0.940244 0.340502i \(-0.110597\pi\)
−0.999999 + 0.00161494i \(0.999486\pi\)
\(284\) 25.9719 4.72326i 1.54115 0.280274i
\(285\) −15.9548 + 17.6892i −0.945078 + 1.04782i
\(286\) −23.9532 + 2.16035i −1.41638 + 0.127744i
\(287\) −11.8020 + 2.08102i −0.696653 + 0.122839i
\(288\) −15.3375 6.90329i −0.903773 0.406780i
\(289\) −9.01061 + 3.27959i −0.530036 + 0.192917i
\(290\) 1.61131 + 4.42891i 0.0946192 + 0.260075i
\(291\) −3.84556 + 4.58296i −0.225431 + 0.268658i
\(292\) 8.37611 + 2.99790i 0.490175 + 0.175439i
\(293\) −1.39160 2.41032i −0.0812981 0.140813i 0.822510 0.568751i \(-0.192573\pi\)
−0.903808 + 0.427939i \(0.859240\pi\)
\(294\) 1.60324 18.9088i 0.0935029 1.10278i
\(295\) −9.38057 + 4.34210i −0.546158 + 0.252807i
\(296\) −14.0549 + 14.2828i −0.816924 + 0.830170i
\(297\) −0.165671 + 0.286950i −0.00961320 + 0.0166506i
\(298\) 9.41100 13.5173i 0.545164 0.783034i
\(299\) −6.08711 2.21553i −0.352027 0.128127i
\(300\) −24.0702 + 4.23744i −1.38969 + 0.244649i
\(301\) 6.68326 5.60792i 0.385217 0.323235i
\(302\) 4.99572 1.35296i 0.287472 0.0778543i
\(303\) 37.2107i 2.13770i
\(304\) 10.3155 14.0567i 0.591634 0.806207i
\(305\) −13.0993 18.8204i −0.750066 1.07765i
\(306\) −2.99235 11.0490i −0.171061 0.631632i
\(307\) 3.66795 + 4.37129i 0.209341 + 0.249483i 0.860490 0.509467i \(-0.170157\pi\)
−0.651149 + 0.758949i \(0.725713\pi\)
\(308\) −6.29559 10.7705i −0.358725 0.613707i
\(309\) −3.50867 1.27705i −0.199601 0.0726489i
\(310\) −14.0860 0.00192354i −0.800031 0.000109250i
\(311\) 4.66543 + 2.69359i 0.264552 + 0.152739i 0.626409 0.779494i \(-0.284524\pi\)
−0.361857 + 0.932234i \(0.617857\pi\)
\(312\) 16.5054 + 16.2420i 0.934432 + 0.919523i
\(313\) −29.7181 5.24011i −1.67977 0.296189i −0.749211 0.662332i \(-0.769567\pi\)
−0.930558 + 0.366143i \(0.880678\pi\)
\(314\) −1.49456 + 17.6269i −0.0843426 + 0.994745i
\(315\) 3.47320 7.39384i 0.195692 0.416596i
\(316\) 8.26799 23.1007i 0.465111 1.29952i
\(317\) −16.1070 13.5154i −0.904658 0.759098i 0.0664369 0.997791i \(-0.478837\pi\)
−0.971095 + 0.238692i \(0.923281\pi\)
\(318\) 24.0559 + 6.37670i 1.34899 + 0.357588i
\(319\) 7.10984 2.58777i 0.398075 0.144887i
\(320\) 17.2161 4.85871i 0.962407 0.271610i
\(321\) 4.86456 + 27.5883i 0.271513 + 1.53983i
\(322\) −0.301830 3.34658i −0.0168203 0.186498i
\(323\) 11.8489 0.644326i 0.659289 0.0358513i
\(324\) 17.8658 3.24907i 0.992543 0.180504i
\(325\) 16.4781 + 3.00135i 0.914039 + 0.166485i
\(326\) −4.57630 4.55183i −0.253458 0.252103i
\(327\) 21.4530 7.80826i 1.18635 0.431798i
\(328\) −27.5006 2.18330i −1.51847 0.120553i
\(329\) −1.37724 1.15564i −0.0759296 0.0637125i
\(330\) 6.80809 + 38.6415i 0.374773 + 2.12714i
\(331\) 1.22214 + 2.11680i 0.0671747 + 0.116350i 0.897657 0.440696i \(-0.145268\pi\)
−0.830482 + 0.557046i \(0.811935\pi\)
\(332\) −0.180740 33.7127i −0.00991938 1.85022i
\(333\) −3.65785 + 20.7447i −0.200449 + 1.13680i
\(334\) 17.1752 + 24.3893i 0.939783 + 1.33452i
\(335\) −0.267446 3.15941i −0.0146121 0.172617i
\(336\) −3.98704 + 11.3309i −0.217511 + 0.618150i
\(337\) 19.6630 + 7.15675i 1.07111 + 0.389853i 0.816593 0.577214i \(-0.195860\pi\)
0.254520 + 0.967068i \(0.418083\pi\)
\(338\) 1.06913 + 2.27681i 0.0581531 + 0.123842i
\(339\) 4.38757 + 5.22890i 0.238300 + 0.283995i
\(340\) 9.99062 + 6.95770i 0.541818 + 0.377334i
\(341\) 22.6137i 1.22460i
\(342\) 0.554553 18.3202i 0.0299868 0.990645i
\(343\) −15.3468 −0.828648
\(344\) 18.1328 8.63368i 0.977657 0.465497i
\(345\) −2.76395 + 10.2002i −0.148806 + 0.549160i
\(346\) 15.5456 + 33.1057i 0.835738 + 1.77977i
\(347\) 22.6987 + 8.26166i 1.21853 + 0.443509i 0.869655 0.493660i \(-0.164341\pi\)
0.348876 + 0.937169i \(0.386563\pi\)
\(348\) −6.32839 3.60860i −0.339237 0.193441i
\(349\) −11.8162 + 20.4662i −0.632504 + 1.09553i 0.354534 + 0.935043i \(0.384640\pi\)
−0.987038 + 0.160486i \(0.948694\pi\)
\(350\) 2.22387 + 8.39875i 0.118871 + 0.448932i
\(351\) −0.215311 0.0379652i −0.0114925 0.00202643i
\(352\) −7.80397 27.6377i −0.415953 1.47309i
\(353\) −0.586857 + 0.338822i −0.0312352 + 0.0180337i −0.515536 0.856868i \(-0.672407\pi\)
0.484301 + 0.874901i \(0.339074\pi\)
\(354\) 6.71375 14.4990i 0.356832 0.770614i
\(355\) −2.65511 + 29.3941i −0.140919 + 1.56008i
\(356\) 0.977371 5.72217i 0.0518006 0.303274i
\(357\) −7.68207 + 2.79605i −0.406578 + 0.147982i
\(358\) −15.9402 15.8550i −0.842467 0.837962i
\(359\) −7.89915 + 1.39283i −0.416901 + 0.0735109i −0.378164 0.925739i \(-0.623445\pi\)
−0.0387369 + 0.999249i \(0.512333\pi\)
\(360\) 12.0120 14.4682i 0.633091 0.762544i
\(361\) 18.4535 + 4.52402i 0.971239 + 0.238106i
\(362\) −15.0390 + 1.35637i −0.790430 + 0.0712892i
\(363\) 35.5578 6.26979i 1.86630 0.329079i
\(364\) 5.25745 6.33424i 0.275565 0.332004i
\(365\) −5.72802 + 8.13161i −0.299818 + 0.425628i
\(366\) 34.2611 + 9.08187i 1.79086 + 0.474717i
\(367\) 22.8689 + 19.1893i 1.19375 + 1.00167i 0.999786 + 0.0206644i \(0.00657814\pi\)
0.193962 + 0.981009i \(0.437866\pi\)
\(368\) 1.26142 7.63148i 0.0657561 0.397818i
\(369\) −25.1149 + 14.5001i −1.30743 + 0.754843i
\(370\) −11.1992 19.4036i −0.582217 1.00875i
\(371\) 1.53624 8.71247i 0.0797578 0.452329i
\(372\) 16.6041 14.0848i 0.860880 0.730265i
\(373\) −12.6740 + 21.9521i −0.656237 + 1.13664i 0.325345 + 0.945595i \(0.394520\pi\)
−0.981582 + 0.191041i \(0.938814\pi\)
\(374\) 11.1677 16.0405i 0.577470 0.829436i
\(375\) 2.61151 27.2000i 0.134858 1.40460i
\(376\) −2.40100 3.37096i −0.123822 0.173844i
\(377\) 3.20908 + 3.82443i 0.165276 + 0.196968i
\(378\) −0.0296462 0.109466i −0.00152483 0.00563034i
\(379\) −4.26642 −0.219151 −0.109576 0.993978i \(-0.534949\pi\)
−0.109576 + 0.993978i \(0.534949\pi\)
\(380\) 12.0706 + 15.3069i 0.619209 + 0.785227i
\(381\) 22.8294 1.16958
\(382\) 4.17951 + 15.4326i 0.213842 + 0.789598i
\(383\) −0.835703 0.995952i −0.0427024 0.0508908i 0.744271 0.667878i \(-0.232797\pi\)
−0.786973 + 0.616988i \(0.788353\pi\)
\(384\) −15.4322 + 22.9440i −0.787522 + 1.17086i
\(385\) 13.4829 3.57205i 0.687152 0.182049i
\(386\) −6.02137 + 8.64865i −0.306479 + 0.440205i
\(387\) 10.5560 18.2835i 0.536591 0.929403i
\(388\) 3.16696 + 3.73340i 0.160778 + 0.189535i
\(389\) 2.04635 11.6054i 0.103754 0.588419i −0.887957 0.459927i \(-0.847875\pi\)
0.991711 0.128491i \(-0.0410134\pi\)
\(390\) −22.4231 + 12.9419i −1.13544 + 0.655338i
\(391\) 4.55905 2.63217i 0.230561 0.133114i
\(392\) −15.0316 3.89843i −0.759212 0.196901i
\(393\) −26.1039 21.9038i −1.31677 1.10490i
\(394\) −6.71381 1.77969i −0.338237 0.0896592i
\(395\) 22.4264 + 15.7975i 1.12839 + 0.794856i
\(396\) −23.2300 19.2810i −1.16735 0.968908i
\(397\) 5.78645 1.02031i 0.290414 0.0512078i −0.0265433 0.999648i \(-0.508450\pi\)
0.316957 + 0.948440i \(0.397339\pi\)
\(398\) −5.11257 + 0.461105i −0.256270 + 0.0231131i
\(399\) −13.0703 + 0.710747i −0.654335 + 0.0355819i
\(400\) 0.101760 + 19.9997i 0.00508800 + 0.999987i
\(401\) −34.7646 + 6.12995i −1.73606 + 0.306115i −0.950051 0.312095i \(-0.898969\pi\)
−0.786013 + 0.618210i \(0.787858\pi\)
\(402\) 3.47488 + 3.45630i 0.173311 + 0.172384i
\(403\) −14.0216 + 5.10343i −0.698464 + 0.254220i
\(404\) −30.0156 5.12679i −1.49333 0.255067i
\(405\) −1.82642 + 20.2198i −0.0907555 + 1.00473i
\(406\) −1.08816 + 2.34998i −0.0540043 + 0.116628i
\(407\) −31.1482 + 17.9834i −1.54396 + 0.891406i
\(408\) −18.7335 + 1.79088i −0.927445 + 0.0886617i
\(409\) 29.7149 + 5.23953i 1.46931 + 0.259078i 0.850296 0.526305i \(-0.176423\pi\)
0.619010 + 0.785383i \(0.287534\pi\)
\(410\) 10.5530 28.9819i 0.521176 1.43131i
\(411\) −27.4890 + 47.6123i −1.35593 + 2.34854i
\(412\) −1.51353 + 2.65428i −0.0745663 + 0.130767i
\(413\) −5.33740 1.94266i −0.262636 0.0955918i
\(414\) −3.45614 7.36014i −0.169860 0.361731i
\(415\) 36.3805 + 9.85805i 1.78585 + 0.483913i
\(416\) 15.3755 11.0761i 0.753845 0.543049i
\(417\) −26.6039 −1.30280
\(418\) 24.5711 19.3816i 1.20181 0.947983i
\(419\) 14.6449i 0.715448i 0.933827 + 0.357724i \(0.116447\pi\)
−0.933827 + 0.357724i \(0.883553\pi\)
\(420\) −11.0205 7.67494i −0.537746 0.374499i
\(421\) 20.9900 + 25.0149i 1.02299 + 1.21915i 0.975436 + 0.220285i \(0.0706988\pi\)
0.0475559 + 0.998869i \(0.484857\pi\)
\(422\) 6.87376 + 14.6382i 0.334609 + 0.712579i
\(423\) −4.08823 1.48799i −0.198776 0.0723487i
\(424\) 8.45805 18.5258i 0.410759 0.899695i
\(425\) −10.4763 + 8.69053i −0.508174 + 0.421553i
\(426\) −26.2670 37.3000i −1.27264 1.80719i
\(427\) 2.18796 12.4085i 0.105883 0.600491i
\(428\) 22.9240 0.122900i 1.10807 0.00594058i
\(429\) 20.7819 + 35.9953i 1.00336 + 1.73787i
\(430\) 3.89605 + 22.1133i 0.187884 + 1.06640i
\(431\) −25.4187 21.3288i −1.22438 1.02737i −0.998584 0.0531986i \(-0.983058\pi\)
−0.225793 0.974175i \(-0.572497\pi\)
\(432\) −0.00279917 0.261052i −0.000134675 0.0125599i
\(433\) −9.11327 + 3.31696i −0.437956 + 0.159403i −0.551582 0.834121i \(-0.685976\pi\)
0.113626 + 0.993524i \(0.463753\pi\)
\(434\) −5.48773 5.45838i −0.263419 0.262011i
\(435\) 5.77546 5.74301i 0.276912 0.275356i
\(436\) −3.34270 18.3806i −0.160086 0.880272i
\(437\) 8.20928 1.91226i 0.392703 0.0914759i
\(438\) −1.38105 15.3126i −0.0659891 0.731665i
\(439\) −1.41623 8.03186i −0.0675931 0.383340i −0.999772 0.0213422i \(-0.993206\pi\)
0.932179 0.361997i \(-0.117905\pi\)
\(440\) 32.1077 0.167750i 1.53067 0.00799719i
\(441\) −15.3398 + 5.58324i −0.730468 + 0.265869i
\(442\) 12.4662 + 3.30452i 0.592957 + 0.157180i
\(443\) −3.10998 2.60958i −0.147760 0.123985i 0.565911 0.824466i \(-0.308524\pi\)
−0.713671 + 0.700481i \(0.752969\pi\)
\(444\) 32.6048 + 11.6696i 1.54735 + 0.553815i
\(445\) 5.87440 + 2.75945i 0.278473 + 0.130810i
\(446\) −0.186832 + 2.20352i −0.00884677 + 0.104340i
\(447\) −28.0321 4.94281i −1.32587 0.233787i
\(448\) 8.59059 + 4.77724i 0.405867 + 0.225703i
\(449\) −10.6801 6.16614i −0.504024 0.290998i 0.226350 0.974046i \(-0.427321\pi\)
−0.730374 + 0.683048i \(0.760654\pi\)
\(450\) 12.0082 + 17.2577i 0.566070 + 0.813536i
\(451\) −46.5299 16.9355i −2.19101 0.797462i
\(452\) 4.82234 2.81875i 0.226824 0.132583i
\(453\) −5.74947 6.85195i −0.270134 0.321933i
\(454\) −2.69214 9.94056i −0.126349 0.466533i
\(455\) 5.25764 + 7.55390i 0.246482 + 0.354132i
\(456\) −29.5348 5.96956i −1.38309 0.279550i
\(457\) 4.91890i 0.230097i −0.993360 0.115048i \(-0.963298\pi\)
0.993360 0.115048i \(-0.0367023\pi\)
\(458\) −15.9696 + 4.32496i −0.746211 + 0.202092i
\(459\) 0.136109 0.114209i 0.00635303 0.00533083i
\(460\) 7.84705 + 3.63486i 0.365870 + 0.169476i
\(461\) −9.27338 3.37523i −0.431904 0.157200i 0.116914 0.993142i \(-0.462700\pi\)
−0.548818 + 0.835942i \(0.684922\pi\)
\(462\) −12.3190 + 17.6941i −0.573130 + 0.823203i
\(463\) 4.03263 6.98472i 0.187412 0.324607i −0.756975 0.653444i \(-0.773323\pi\)
0.944387 + 0.328837i \(0.106657\pi\)
\(464\) −3.78274 + 4.60753i −0.175609 + 0.213899i
\(465\) 10.2257 + 22.0914i 0.474207 + 1.02447i
\(466\) −3.22054 + 37.9834i −0.149189 + 1.75955i
\(467\) −4.40768 7.63432i −0.203963 0.353274i 0.745839 0.666126i \(-0.232049\pi\)
−0.949802 + 0.312852i \(0.898716\pi\)
\(468\) 6.71262 18.7550i 0.310291 0.866951i
\(469\) 1.11991 1.33466i 0.0517126 0.0616287i
\(470\) 4.34829 1.58198i 0.200572 0.0729711i
\(471\) 28.7283 10.4562i 1.32373 0.481798i
\(472\) −10.7705 7.41320i −0.495751 0.341220i
\(473\) 35.4999 6.25958i 1.63229 0.287816i
\(474\) −42.2310 + 3.80883i −1.93974 + 0.174945i
\(475\) −20.0930 + 8.44212i −0.921932 + 0.387351i
\(476\) 1.19698 + 6.58188i 0.0548636 + 0.301680i
\(477\) −3.71753 21.0831i −0.170214 0.965331i
\(478\) 20.9433 21.0559i 0.957925 0.963074i
\(479\) 10.2534 + 28.1710i 0.468491 + 1.28717i 0.918951 + 0.394371i \(0.129038\pi\)
−0.450461 + 0.892796i \(0.648740\pi\)
\(480\) −20.1212 23.4705i −0.918405 1.07128i
\(481\) −18.1801 15.2549i −0.828940 0.695563i
\(482\) 3.16351 6.83192i 0.144094 0.311185i
\(483\) −5.02902 + 2.90351i −0.228828 + 0.132114i
\(484\) −0.158402 29.5461i −0.00720009 1.34300i
\(485\) −4.96723 + 2.29924i −0.225550 + 0.104403i
\(486\) −17.9093 25.4318i −0.812384 1.15361i
\(487\) −18.7058 10.7998i −0.847641 0.489386i 0.0122133 0.999925i \(-0.496112\pi\)
−0.859854 + 0.510540i \(0.829446\pi\)
\(488\) 12.0462 26.3850i 0.545305 1.19439i
\(489\) −3.81515 + 10.4820i −0.172527 + 0.474015i
\(490\) 8.68299 15.0346i 0.392258 0.679196i
\(491\) 2.75673 + 3.28535i 0.124410 + 0.148266i 0.824654 0.565638i \(-0.191370\pi\)
−0.700244 + 0.713903i \(0.746926\pi\)
\(492\) 16.5461 + 44.7126i 0.745954 + 2.01580i
\(493\) −4.05724 −0.182729
\(494\) 17.5626 + 10.8612i 0.790181 + 0.488670i
\(495\) 27.7030 19.2817i 1.24516 0.866650i
\(496\) −9.07370 15.3340i −0.407421 0.688518i
\(497\) −12.4233 + 10.4244i −0.557262 + 0.467599i
\(498\) −52.7378 + 24.7644i −2.36324 + 1.10972i
\(499\) 13.7777 37.8539i 0.616775 1.69458i −0.0979692 0.995189i \(-0.531235\pi\)
0.714744 0.699386i \(-0.246543\pi\)
\(500\) −21.5808 5.85409i −0.965121 0.261803i
\(501\) 25.7759 44.6452i 1.15158 1.99460i
\(502\) 17.0078 + 24.1515i 0.759093 + 1.07794i
\(503\) −4.87601 + 27.6532i −0.217411 + 1.23300i 0.659264 + 0.751912i \(0.270868\pi\)
−0.876674 + 0.481085i \(0.840243\pi\)
\(504\) 10.2861 0.983330i 0.458180 0.0438010i
\(505\) 14.4747 30.8141i 0.644114 1.37121i
\(506\) 5.83371 12.5985i 0.259340 0.560071i
\(507\) 2.79418 3.32998i 0.124094 0.147889i
\(508\) 3.14537 18.4150i 0.139553 0.817035i
\(509\) −0.503649 1.38377i −0.0223239 0.0613343i 0.928030 0.372505i \(-0.121501\pi\)
−0.950354 + 0.311171i \(0.899279\pi\)
\(510\) 3.65641 20.7200i 0.161909 0.917497i
\(511\) −5.38247 + 0.949075i −0.238107 + 0.0419846i
\(512\) 16.3813 + 15.6094i 0.723958 + 0.689844i
\(513\) 0.261656 0.111674i 0.0115524 0.00493052i
\(514\) 1.41731 + 15.7146i 0.0625148 + 0.693143i
\(515\) −2.40875 2.42236i −0.106142 0.106742i
\(516\) −26.7070 22.1669i −1.17571 0.975844i
\(517\) −2.54066 6.98042i −0.111738 0.306998i
\(518\) 3.15432 11.8996i 0.138593 0.522837i
\(519\) 40.6286 48.4192i 1.78340 2.12537i
\(520\) 7.35003 + 19.8704i 0.322320 + 0.871375i
\(521\) −2.32788 + 1.34400i −0.101986 + 0.0588817i −0.550126 0.835082i \(-0.685420\pi\)
0.448139 + 0.893964i \(0.352087\pi\)
\(522\) −0.529447 + 6.24435i −0.0231733 + 0.273308i
\(523\) 11.2870 + 1.99021i 0.493547 + 0.0870257i 0.414882 0.909875i \(-0.363823\pi\)
0.0786657 + 0.996901i \(0.474934\pi\)
\(524\) −21.2649 + 18.0386i −0.928964 + 0.788018i
\(525\) 11.5562 9.58640i 0.504356 0.418385i
\(526\) 16.3523 23.4872i 0.712992 1.02409i
\(527\) 4.14745 11.3950i 0.180666 0.496375i
\(528\) −37.6752 + 32.3079i −1.63960 + 1.40602i
\(529\) −14.7545 + 12.3805i −0.641498 + 0.538281i
\(530\) 17.4401 + 14.6381i 0.757552 + 0.635838i
\(531\) −13.7448 −0.596473
\(532\) −1.22748 + 10.6409i −0.0532179 + 0.461344i
\(533\) 32.6727i 1.41521i
\(534\) −9.68339 + 2.62250i −0.419041 + 0.113487i
\(535\) −6.70329 + 24.7380i −0.289808 + 1.06952i
\(536\) 3.26674 2.32677i 0.141102 0.100501i
\(537\) −13.2890 + 36.5112i −0.573462 + 1.57557i
\(538\) 17.5762 + 12.2369i 0.757764 + 0.527570i
\(539\) −24.1386 13.9364i −1.03972 0.600284i
\(540\) 0.282127 + 0.0748270i 0.0121408 + 0.00322004i
\(541\) 2.32642 13.1938i 0.100020 0.567244i −0.893072 0.449913i \(-0.851455\pi\)
0.993093 0.117331i \(-0.0374339\pi\)
\(542\) −1.49008 + 17.5741i −0.0640043 + 0.754873i
\(543\) 13.0478 + 22.5995i 0.559937 + 0.969839i
\(544\) −1.13646 + 15.3579i −0.0487251 + 0.658463i
\(545\) 20.8025 + 1.87905i 0.891082 + 0.0804897i
\(546\) −13.7513 3.64517i −0.588501 0.155999i
\(547\) 3.81741 + 10.4883i 0.163221 + 0.448445i 0.994160 0.107918i \(-0.0344185\pi\)
−0.830939 + 0.556363i \(0.812196\pi\)
\(548\) 34.6185 + 28.7335i 1.47883 + 1.22744i
\(549\) −5.29461 30.0272i −0.225968 1.28153i
\(550\) −9.39345 + 34.6472i −0.400538 + 1.47736i
\(551\) −6.21616 1.88712i −0.264818 0.0803941i
\(552\) −12.8839 + 3.56352i −0.548375 + 0.151673i
\(553\) 2.61748 + 14.8445i 0.111306 + 0.631250i
\(554\) −16.2932 + 16.3808i −0.692233 + 0.695954i
\(555\) −22.2968 + 31.6530i −0.946449 + 1.34360i
\(556\) −3.66541 + 21.4597i −0.155448 + 0.910094i
\(557\) −23.3548 + 27.8332i −0.989576 + 1.17933i −0.00579054 + 0.999983i \(0.501843\pi\)
−0.983786 + 0.179348i \(0.942601\pi\)
\(558\) −16.9964 7.87016i −0.719515 0.333170i
\(559\) 11.8928 + 20.5989i 0.503012 + 0.871242i
\(560\) −7.70927 + 7.83213i −0.325776 + 0.330968i
\(561\) −33.2648 5.86548i −1.40444 0.247641i
\(562\) 20.0416 + 28.4598i 0.845406 + 1.20050i
\(563\) −22.2837 12.8655i −0.939147 0.542217i −0.0494539 0.998776i \(-0.515748\pi\)
−0.889693 + 0.456560i \(0.849081\pi\)
\(564\) −3.54291 + 6.21319i −0.149183 + 0.261623i
\(565\) 1.59933 + 6.03676i 0.0672844 + 0.253969i
\(566\) 3.47975 + 7.41042i 0.146265 + 0.311483i
\(567\) −8.54585 + 7.17082i −0.358892 + 0.301146i
\(568\) −33.7066 + 16.0489i −1.41430 + 0.673397i
\(569\) 19.8922i 0.833925i −0.908924 0.416962i \(-0.863095\pi\)
0.908924 0.416962i \(-0.136905\pi\)
\(570\) 15.2394 30.0447i 0.638309 1.25844i
\(571\) 24.1613i 1.01112i 0.862792 + 0.505559i \(0.168714\pi\)
−0.862792 + 0.505559i \(0.831286\pi\)
\(572\) 31.8984 11.8041i 1.33374 0.493555i
\(573\) 21.1667 17.7610i 0.884252 0.741976i
\(574\) 15.3409 7.20372i 0.640318 0.300678i
\(575\) −6.25661 + 7.37159i −0.260919 + 0.307416i
\(576\) 23.4884 + 3.75319i 0.978683 + 0.156383i
\(577\) −13.5023 7.79554i −0.562107 0.324532i 0.191884 0.981418i \(-0.438540\pi\)
−0.753991 + 0.656885i \(0.771874\pi\)
\(578\) 11.0874 7.80787i 0.461176 0.324765i
\(579\) 17.9355 + 3.16252i 0.745376 + 0.131430i
\(580\) −3.83680 5.44996i −0.159315 0.226297i
\(581\) 10.3558 + 17.9368i 0.429631 + 0.744142i
\(582\) 3.55508 7.67757i 0.147363 0.318245i
\(583\) 23.4962 28.0017i 0.973114 1.15971i
\(584\) −12.5420 0.995722i −0.518992 0.0412033i
\(585\) 18.2076 + 12.8257i 0.752790 + 0.530276i
\(586\) 2.79065 + 2.77573i 0.115281 + 0.114664i
\(587\) 0.655374 + 3.71681i 0.0270502 + 0.153409i 0.995341 0.0964161i \(-0.0307379\pi\)
−0.968291 + 0.249825i \(0.919627\pi\)
\(588\) 4.80182 + 26.4039i 0.198024 + 1.08888i
\(589\) 11.6545 15.5294i 0.480214 0.639878i
\(590\) 11.1996 9.39500i 0.461082 0.386786i
\(591\) 2.08438 + 11.8211i 0.0857400 + 0.486256i
\(592\) 13.9053 24.6924i 0.571506 1.01485i
\(593\) −3.67655 10.1012i −0.150978 0.414808i 0.841029 0.540990i \(-0.181950\pi\)
−0.992007 + 0.126181i \(0.959728\pi\)
\(594\) 0.120066 0.452945i 0.00492636 0.0185846i
\(595\) −7.44914 0.672866i −0.305385 0.0275848i
\(596\) −7.84924 + 21.9307i −0.321517 + 0.898317i
\(597\) 4.43568 + 7.68283i 0.181540 + 0.314437i
\(598\) 9.12819 + 0.773963i 0.373280 + 0.0316497i
\(599\) 4.26450 24.1852i 0.174243 0.988179i −0.764772 0.644301i \(-0.777148\pi\)
0.939014 0.343878i \(-0.111741\pi\)
\(600\) 31.2902 14.6827i 1.27742 0.599418i
\(601\) 12.1327 + 7.00482i 0.494903 + 0.285732i 0.726606 0.687054i \(-0.241096\pi\)
−0.231703 + 0.972787i \(0.574430\pi\)
\(602\) −7.04975 + 10.1257i −0.287326 + 0.412695i
\(603\) 1.44199 3.96182i 0.0587222 0.161338i
\(604\) −6.31919 + 3.69370i −0.257124 + 0.150294i
\(605\) 31.8842 + 8.63968i 1.29628 + 0.351253i
\(606\) 13.7563 + 50.7941i 0.558810 + 2.06337i
\(607\) 12.7254i 0.516508i 0.966077 + 0.258254i \(0.0831472\pi\)
−0.966077 + 0.258254i \(0.916853\pi\)
\(608\) −8.88449 + 23.0014i −0.360314 + 0.932831i
\(609\) 4.47549 0.181356
\(610\) 24.8387 + 20.8480i 1.00569 + 0.844109i
\(611\) 3.75481 3.15066i 0.151904 0.127462i
\(612\) 8.16935 + 13.9762i 0.330226 + 0.564953i
\(613\) −13.5934 + 37.3474i −0.549030 + 1.50845i 0.285992 + 0.958232i \(0.407677\pi\)
−0.835022 + 0.550216i \(0.814545\pi\)
\(614\) −6.62289 4.61099i −0.267278 0.186085i
\(615\) −53.1133 + 4.49608i −2.14174 + 0.181299i
\(616\) 12.5754 + 12.3748i 0.506679 + 0.498594i
\(617\) −41.9836 7.40285i −1.69020 0.298027i −0.755944 0.654637i \(-0.772822\pi\)
−0.934254 + 0.356609i \(0.883933\pi\)
\(618\) 5.26158 + 0.446120i 0.211652 + 0.0179456i
\(619\) 20.6030 11.8952i 0.828106 0.478107i −0.0250980 0.999685i \(-0.507990\pi\)
0.853204 + 0.521578i \(0.174656\pi\)
\(620\) 19.2286 5.20477i 0.772241 0.209028i
\(621\) 0.0811262 0.0966825i 0.00325548 0.00387973i
\(622\) −7.36428 1.95211i −0.295281 0.0782725i
\(623\) 1.21975 + 3.35124i 0.0488683 + 0.134264i
\(624\) −28.5349 16.0692i −1.14231 0.643282i
\(625\) 12.7432 21.5084i 0.509727 0.860336i
\(626\) 42.5036 3.83342i 1.69879 0.153214i
\(627\) −48.2373 24.4588i −1.92641 0.976792i
\(628\) −4.47630 24.6140i −0.178624 0.982204i
\(629\) 18.9938 3.34911i 0.757331 0.133538i
\(630\) −2.00765 + 11.3769i −0.0799868 + 0.453266i
\(631\) 1.31894 + 3.62376i 0.0525062 + 0.144260i 0.963173 0.268881i \(-0.0866539\pi\)
−0.910667 + 0.413141i \(0.864432\pi\)
\(632\) −2.74613 + 34.5899i −0.109235 + 1.37591i
\(633\) 17.9646 21.4094i 0.714029 0.850946i
\(634\) 26.9831 + 12.4945i 1.07164 + 0.496219i
\(635\) 18.9049 + 8.88044i 0.750219 + 0.352410i
\(636\) −35.1947 + 0.188685i −1.39556 + 0.00748185i
\(637\) 3.19367 18.1122i 0.126538 0.717632i
\(638\) −8.74855 + 6.16081i −0.346358 + 0.243909i
\(639\) −19.6222 + 33.9867i −0.776243 + 1.34449i
\(640\) −21.7044 + 12.9969i −0.857942 + 0.513746i
\(641\) 15.2538 41.9094i 0.602488 1.65532i −0.143728 0.989617i \(-0.545909\pi\)
0.746216 0.665704i \(-0.231869\pi\)
\(642\) −16.8393 35.8607i −0.664595 1.41531i
\(643\) −25.5499 + 21.4389i −1.00759 + 0.845466i −0.988017 0.154342i \(-0.950674\pi\)
−0.0195703 + 0.999808i \(0.506230\pi\)
\(644\) 1.64919 + 4.45664i 0.0649874 + 0.175616i
\(645\) 31.8494 22.1677i 1.25407 0.872854i
\(646\) −15.9360 + 5.25989i −0.626993 + 0.206948i
\(647\) 17.8171 0.700463 0.350232 0.936663i \(-0.386103\pi\)
0.350232 + 0.936663i \(0.386103\pi\)
\(648\) −23.1863 + 11.0398i −0.910845 + 0.433685i
\(649\) −15.0852 17.9779i −0.592147 0.705694i
\(650\) −23.6028 + 1.99474i −0.925777 + 0.0782403i
\(651\) −4.57499 + 12.5697i −0.179308 + 0.492645i
\(652\) 7.92958 + 4.52163i 0.310546 + 0.177081i
\(653\) −10.5263 6.07738i −0.411927 0.237826i 0.279690 0.960090i \(-0.409768\pi\)
−0.691618 + 0.722264i \(0.743102\pi\)
\(654\) −26.3976 + 18.5895i −1.03223 + 0.726905i
\(655\) −13.0962 28.2927i −0.511710 1.10549i
\(656\) 38.3466 7.18630i 1.49718 0.280578i
\(657\) −11.4539 + 6.61294i −0.446861 + 0.257995i
\(658\) 2.30721 + 1.06835i 0.0899443 + 0.0416486i
\(659\) −19.7313 16.5565i −0.768623 0.644951i 0.171733 0.985144i \(-0.445063\pi\)
−0.940356 + 0.340192i \(0.889508\pi\)
\(660\) −23.5785 50.2303i −0.917792 1.95521i
\(661\) 5.25705 + 14.4436i 0.204476 + 0.561792i 0.998965 0.0454858i \(-0.0144836\pi\)
−0.794489 + 0.607278i \(0.792261\pi\)
\(662\) −2.45082 2.43771i −0.0952537 0.0947444i
\(663\) −3.87028 21.9494i −0.150309 0.852446i
\(664\) 12.7098 + 45.9523i 0.493236 + 1.78329i
\(665\) −11.1000 4.49568i −0.430439 0.174335i
\(666\) −2.67591 29.6696i −0.103690 1.14967i
\(667\) −2.83820 + 0.500451i −0.109896 + 0.0193775i
\(668\) −32.4611 26.9429i −1.25596 1.04245i
\(669\) 3.59129 1.30712i 0.138847 0.0505362i
\(670\) 1.53306 + 4.21385i 0.0592274 + 0.162795i
\(671\) 33.4640 39.8808i 1.29186 1.53958i
\(672\) 1.25361 16.9410i 0.0483590 0.653515i
\(673\) 12.7003 + 21.9976i 0.489562 + 0.847946i 0.999928 0.0120114i \(-0.00382342\pi\)
−0.510366 + 0.859957i \(0.670490\pi\)
\(674\) −29.4865 2.50011i −1.13578 0.0963006i
\(675\) −0.164757 + 0.281689i −0.00634148 + 0.0108422i
\(676\) −2.30111 2.71269i −0.0885042 0.104334i
\(677\) 13.8452 23.9805i 0.532113 0.921646i −0.467185 0.884160i \(-0.654732\pi\)
0.999297 0.0374862i \(-0.0119350\pi\)
\(678\) −7.92225 5.51563i −0.304252 0.211827i
\(679\) −2.82628 1.02868i −0.108463 0.0394771i
\(680\) −16.2098 5.80414i −0.621616 0.222579i
\(681\) −13.6341 + 11.4404i −0.522460 + 0.438396i
\(682\) −8.35997 30.8686i −0.320120 1.18202i
\(683\) 24.4971i 0.937357i 0.883369 + 0.468678i \(0.155270\pi\)
−0.883369 + 0.468678i \(0.844730\pi\)
\(684\) 6.01574 + 25.2128i 0.230018 + 0.964037i
\(685\) −41.2843 + 28.7346i −1.57739 + 1.09789i
\(686\) 20.9490 5.67349i 0.799835 0.216615i
\(687\) 18.3791 + 21.9033i 0.701206 + 0.835665i
\(688\) −21.5603 + 18.4888i −0.821978 + 0.704877i
\(689\) 22.6650 + 8.24937i 0.863467 + 0.314276i
\(690\) 0.00204090 14.9455i 7.76958e−5 0.568964i
\(691\) −37.6906 21.7606i −1.43382 0.827814i −0.436407 0.899749i \(-0.643749\pi\)
−0.997409 + 0.0719353i \(0.977082\pi\)
\(692\) −33.4591 39.4436i −1.27192 1.49942i
\(693\) 18.2649 + 3.22060i 0.693827 + 0.122340i
\(694\) −34.0389 2.88609i −1.29210 0.109555i
\(695\) −22.0306 10.3487i −0.835668 0.392548i
\(696\) 9.97254 + 2.58636i 0.378008 + 0.0980359i
\(697\) 20.3403 + 17.0675i 0.770444 + 0.646479i
\(698\) 8.56346 32.3054i 0.324132 1.22278i
\(699\) 61.9051 22.5316i 2.34147 0.852225i
\(700\) −6.14057 10.6425i −0.232092 0.402248i
\(701\) 5.97597 + 33.8914i 0.225709 + 1.28006i 0.861325 + 0.508055i \(0.169635\pi\)
−0.635615 + 0.772006i \(0.719254\pi\)
\(702\) 0.307943 0.0277735i 0.0116226 0.00104824i
\(703\) 30.6584 + 3.70323i 1.15630 + 0.139670i
\(704\) 20.8700 + 34.8415i 0.786567 + 1.31314i
\(705\) −5.63847 5.67033i −0.212357 0.213557i
\(706\) 0.675825 0.679458i 0.0254350 0.0255717i
\(707\) 17.5789 6.39818i 0.661121 0.240628i
\(708\) −3.80445 + 22.2737i −0.142980 + 0.837097i
\(709\) 6.90401 + 5.79315i 0.259286 + 0.217567i 0.763159 0.646211i \(-0.223648\pi\)
−0.503873 + 0.863778i \(0.668092\pi\)
\(710\) −7.24225 41.1057i −0.271797 1.54267i
\(711\) 18.2380 + 31.5891i 0.683978 + 1.18468i
\(712\) 0.781255 + 8.17231i 0.0292788 + 0.306270i
\(713\) 1.49575 8.48283i 0.0560164 0.317685i
\(714\) 9.45267 6.65667i 0.353757 0.249119i
\(715\) 3.20755 + 37.8916i 0.119955 + 1.41706i
\(716\) 27.6204 + 15.7498i 1.03222 + 0.588598i
\(717\) −48.2287 17.5538i −1.80113 0.655559i
\(718\) 10.2677 4.82147i 0.383189 0.179936i
\(719\) 14.3829 + 17.1409i 0.536391 + 0.639246i 0.964375 0.264540i \(-0.0852203\pi\)
−0.427983 + 0.903787i \(0.640776\pi\)
\(720\) −11.0482 + 24.1904i −0.411743 + 0.901523i
\(721\) 1.87713i 0.0699078i
\(722\) −26.8623 + 0.646550i −0.999710 + 0.0240621i
\(723\) −13.0112 −0.483892
\(724\) 20.0273 7.41118i 0.744310 0.275435i
\(725\) 7.01662 2.50916i 0.260591 0.0931879i
\(726\) −46.2199 + 21.7037i −1.71538 + 0.805500i
\(727\) 31.0758 + 11.3107i 1.15254 + 0.419489i 0.846426 0.532507i \(-0.178750\pi\)
0.306111 + 0.951996i \(0.400972\pi\)
\(728\) −4.83494 + 10.5901i −0.179195 + 0.392495i
\(729\) −13.2586 + 22.9646i −0.491059 + 0.850540i
\(730\) 4.81284 13.2175i 0.178131 0.489203i
\(731\) −19.0364 3.35662i −0.704085 0.124149i
\(732\) −50.1252 + 0.268730i −1.85268 + 0.00993256i
\(733\) −0.322179 + 0.186010i −0.0119000 + 0.00687045i −0.505938 0.862570i \(-0.668854\pi\)
0.494038 + 0.869440i \(0.335520\pi\)
\(734\) −38.3110 17.7398i −1.41408 0.654789i
\(735\) −29.8830 2.69927i −1.10225 0.0995642i
\(736\) 1.09936 + 10.8836i 0.0405230 + 0.401175i
\(737\) 6.76459 2.46211i 0.249177 0.0906930i
\(738\) 28.9223 29.0778i 1.06464 1.07037i
\(739\) −3.59776 + 0.634382i −0.132346 + 0.0233361i −0.239429 0.970914i \(-0.576960\pi\)
0.107083 + 0.994250i \(0.465849\pi\)
\(740\) 22.4605 + 22.3465i 0.825666 + 0.821475i
\(741\) 4.27950 35.4292i 0.157211 1.30153i
\(742\) 1.12384 + 12.4608i 0.0412576 + 0.457450i
\(743\) −4.21606 + 0.743404i −0.154672 + 0.0272729i −0.250448 0.968130i \(-0.580578\pi\)
0.0957759 + 0.995403i \(0.469467\pi\)
\(744\) −17.4582 + 25.3646i −0.640049 + 0.929913i
\(745\) −21.2906 14.9974i −0.780025 0.549461i
\(746\) 9.18520 34.6509i 0.336294 1.26866i
\(747\) 38.3938 + 32.2162i 1.40476 + 1.17873i
\(748\) −9.31444 + 26.0245i −0.340570 + 0.951550i
\(749\) −12.1967 + 7.04174i −0.445656 + 0.257300i
\(750\) 6.49065 + 38.0946i 0.237005 + 1.39102i
\(751\) −2.55851 + 14.5100i −0.0933615 + 0.529479i 0.901876 + 0.431996i \(0.142190\pi\)
−0.995237 + 0.0974835i \(0.968921\pi\)
\(752\) 4.52366 + 3.71388i 0.164961 + 0.135431i
\(753\) 25.5247 44.2100i 0.930170 1.61110i
\(754\) −5.79435 4.03415i −0.211018 0.146915i
\(755\) −2.09576 7.91057i −0.0762727 0.287895i
\(756\) 0.0809364 + 0.138466i 0.00294363 + 0.00503597i
\(757\) −16.8617 20.0950i −0.612848 0.730364i 0.366975 0.930231i \(-0.380394\pi\)
−0.979823 + 0.199867i \(0.935949\pi\)
\(758\) 5.82383 1.57724i 0.211531 0.0572878i
\(759\) −23.9935 −0.870909
\(760\) −22.1356 16.4322i −0.802942 0.596057i
\(761\) 32.7640 1.18769 0.593846 0.804579i \(-0.297609\pi\)
0.593846 + 0.804579i \(0.297609\pi\)
\(762\) −31.1630 + 8.43970i −1.12892 + 0.305738i
\(763\) 7.37746 + 8.79212i 0.267082 + 0.318296i
\(764\) −11.4104 19.5209i −0.412813 0.706243i
\(765\) −17.4958 + 4.63521i −0.632563 + 0.167586i
\(766\) 1.50896 + 1.05057i 0.0545208 + 0.0379585i
\(767\) 7.74272 13.4108i 0.279573 0.484235i
\(768\) 12.5835 37.0246i 0.454068 1.33601i