Properties

Label 380.2.bb.a.59.4
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 59.4
Character \(\chi\) \(=\) 380.59
Dual form 380.2.bb.a.219.4

$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36504 0.369686i −0.965229 0.261407i
\(3\) 1.57099 1.87224i 0.907014 1.08094i −0.0893724 0.995998i \(-0.528486\pi\)
0.996386 0.0849386i \(-0.0270694\pi\)
\(4\) 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 0.726254 0.687426i \(-0.241260\pi\)
−0.958456 + 0.285241i \(0.907926\pi\)
\(8\) −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 −0.341001 0.940063i \(-0.610766\pi\)
−0.984619 + 0.174716i \(0.944099\pi\)
\(12\) 4.60218 1.64717i 1.32853 0.475496i
\(13\) −2.56612 + 2.15323i −0.711714 + 0.597199i −0.925080 0.379773i \(-0.876002\pi\)
0.213365 + 0.976972i \(0.431558\pi\)
\(14\) 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 0.489029 0.872268i \(-0.337351\pi\)
0.161204 + 0.986921i \(0.448462\pi\)
\(18\) −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 0.524447 0.851443i \(-0.324272\pi\)
−0.145547 + 0.989351i \(0.546494\pi\)
\(24\) −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 −0.308251 0.951305i \(-0.599744\pi\)
0.0357040 + 0.999362i \(0.488633\pi\)
\(30\) 2.64437 + 7.26225i 0.482793 + 1.32590i
\(31\) 2.22719 + 3.85761i 0.400015 + 0.692847i 0.993727 0.111831i \(-0.0356715\pi\)
−0.593712 + 0.804678i \(0.702338\pi\)
\(32\) −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 −0.00685047 0.999977i \(-0.502181\pi\)
0.985974 0.166898i \(-0.0533750\pi\)
\(42\) 3.84412 + 1.80510i 0.593161 + 0.278533i
\(43\) −6.67232 + 2.42852i −1.01752 + 0.370346i −0.796316 0.604881i \(-0.793221\pi\)
−0.221203 + 0.975228i \(0.570998\pi\)
\(44\) −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 0.960653 0.277752i \(-0.0895893\pi\)
−0.997715 + 0.0675612i \(0.978478\pi\)
\(48\) 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 −0.167417 0.985886i \(-0.553543\pi\)
−0.761964 + 0.647619i \(0.775765\pi\)
\(54\) −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 −0.886909 0.461943i \(-0.847152\pi\)
0.991416 0.130744i \(-0.0417365\pi\)
\(60\) −0.924913 10.8908i −0.119406 1.40600i
\(61\) −9.63632 3.50733i −1.23380 0.449068i −0.358906 0.933374i \(-0.616850\pi\)
−0.874899 + 0.484306i \(0.839072\pi\)
\(62\) −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 −0.258297 0.966066i \(-0.583161\pi\)
0.0876943 + 0.996147i \(0.472050\pi\)
\(68\) 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 0.523330 0.852130i \(-0.324690\pi\)
0.948633 + 0.316380i \(0.102467\pi\)
\(72\) −4.87888 + 6.84985i −0.574981 + 0.807263i
\(73\) 2.85926 3.40754i 0.334651 0.398822i −0.572309 0.820038i \(-0.693952\pi\)
0.906960 + 0.421216i \(0.138397\pi\)
\(74\) −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 0.993845 0.110780i \(-0.0353350\pi\)
0.0634820 + 0.997983i \(0.479779\pi\)
\(80\) 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 0.791361 + 0.611349i \(0.209373\pi\)
0.133764 + 0.991013i \(0.457294\pi\)
\(84\) −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 0.855808 0.517293i \(-0.173060\pi\)
−0.658044 + 0.752979i \(0.728616\pi\)
\(90\) 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 −0.955594 0.294685i \(-0.904785\pi\)
0.998753 + 0.0499193i \(0.0158964\pi\)
\(98\) −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 −0.999913 0.0132227i \(-0.995791\pi\)
−0.160611 + 0.987018i \(0.551347\pi\)
\(102\) −8.53847 + 3.95373i −0.845435 + 0.391477i
\(103\) −1.32306 0.763870i −0.130365 0.0752663i 0.433399 0.901202i \(-0.357314\pi\)
−0.563764 + 0.825936i \(0.690647\pi\)
\(104\) 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 0.0635725 0.997977i \(-0.479751\pi\)
0.896060 + 0.443933i \(0.146417\pi\)
\(108\) 0.0646597 + 0.113394i 0.00622189 + 0.0109113i
\(109\) 3.19483 + 8.77771i 0.306009 + 0.840752i 0.993425 + 0.114488i \(0.0365228\pi\)
−0.687416 + 0.726264i \(0.741255\pi\)
\(110\) 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 0.963554 0.267513i \(-0.0862018\pi\)
−0.430768 + 0.902463i \(0.641757\pi\)
\(128\) 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 −0.462112 0.886821i \(-0.652908\pi\)
−0.737554 + 0.675288i \(0.764019\pi\)
\(132\) −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 0.0685538 0.997647i \(-0.478162\pi\)
0.588760 0.808308i \(-0.299616\pi\)
\(138\) −6.46068 + 1.71258i −0.549969 + 0.145785i
\(139\) −6.99690 8.33858i −0.593469 0.707269i 0.382800 0.923831i \(-0.374960\pi\)
−0.976269 + 0.216562i \(0.930516\pi\)
\(140\) −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 0.199477 0.979902i \(-0.436076\pi\)
−0.930377 + 0.366605i \(0.880520\pi\)
\(150\) 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 0.984976 + 0.172690i \(0.0552458\pi\)
−0.643533 + 0.765419i \(0.722532\pi\)
\(158\) −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 −0.762707 0.646744i \(-0.776130\pi\)
0.941450 + 0.337152i \(0.109464\pi\)
\(164\) 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 0.263919 + 0.964545i \(0.414985\pi\)
−0.822171 + 0.569240i \(0.807238\pi\)
\(168\) 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 0.00949634 + 0.999955i \(0.496977\pi\)
−0.350928 + 0.936402i \(0.614134\pi\)
\(174\) 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 −0.399546 0.916713i \(-0.630832\pi\)
0.993670 0.112339i \(-0.0358343\pi\)
\(180\) −10.8728 7.65452i −0.810412 0.570534i
\(181\) 10.5151 1.85410i 0.781581 0.137814i 0.231399 0.972859i \(-0.425670\pi\)
0.550182 + 0.835045i \(0.314558\pi\)
\(182\) −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 \(0.134130\pi\)
−0.912525 + 0.409021i \(0.865870\pi\)
\(192\) 14.7738 + 12.8072i 1.06621 + 0.924281i
\(193\) 5.70834 + 4.78987i 0.410896 + 0.344782i 0.824687 0.565589i \(-0.191351\pi\)
−0.413791 + 0.910372i \(0.635796\pi\)
\(194\) −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 −0.340769 0.940147i \(-0.610687\pi\)
0.643807 + 0.765188i \(0.277354\pi\)
\(198\) 12.2910 17.4536i 0.873482 1.24037i
\(199\) 3.57466 0.630309i 0.253401 0.0446814i −0.0455045 0.998964i \(-0.514490\pi\)
0.298906 + 0.954283i \(0.403378\pi\)
\(200\) 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 0.836959 + 0.547266i \(0.184331\pi\)
−0.973660 + 0.228005i \(0.926780\pi\)
\(212\) −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 0.956311 0.292352i \(-0.0944377\pi\)
−0.920497 + 0.390751i \(0.872216\pi\)
\(224\) −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 \(-0.922305\pi\)
0.970359 0.241670i \(-0.0776951\pi\)
\(228\) 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 0.743171 + 0.669102i \(0.233321\pi\)
−0.139211 + 0.990263i \(0.544457\pi\)
\(234\) −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 −0.221199 0.975229i \(-0.570997\pi\)
−0.955172 + 0.296051i \(0.904330\pi\)
\(240\) 9.39480 19.7383i 0.606432 1.27410i
\(241\) −3.42199 4.07816i −0.220430 0.262698i 0.644485 0.764617i \(-0.277072\pi\)
−0.864914 + 0.501919i \(0.832627\pi\)
\(242\) −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 0.481161 + 0.876632i \(0.340215\pi\)
−0.932079 + 0.362255i \(0.882007\pi\)
\(252\) −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 0.983686 + 0.179896i \(0.0575761\pi\)
−0.862834 + 0.505487i \(0.831313\pi\)
\(258\) 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 0.0243768 0.999703i \(-0.492240\pi\)
−0.980282 + 0.197603i \(0.936684\pi\)
\(264\) 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 −0.976275 0.216532i \(-0.930525\pi\)
0.382771 + 0.923843i \(0.374970\pi\)
\(270\) −0.178726 + 0.103220i −0.0108769 + 0.00628178i
\(271\) 4.26546 + 11.7192i 0.259108 + 0.711894i 0.999223 + 0.0394133i \(0.0125489\pi\)
−0.740115 + 0.672480i \(0.765229\pi\)
\(272\) 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 0.860681 0.509144i \(-0.170038\pi\)
−0.0105907 + 0.999944i \(0.503371\pi\)
\(278\) 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 0.386942 + 0.922104i \(0.373531\pi\)
−0.889132 + 0.457651i \(0.848691\pi\)
\(282\) 3.56657 + 3.58574i 0.212386 + 0.213528i
\(283\) −1.00523 + 5.70097i −0.0597550 + 0.338887i −0.999999 0.00161494i \(-0.999486\pi\)
0.940244 + 0.340502i \(0.110597\pi\)
\(284\) 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 −0.903808 0.427939i \(-0.859240\pi\)
0.822510 + 0.568751i \(0.192573\pi\)
\(294\) 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 −0.651149 0.758949i \(-0.725713\pi\)
0.860490 + 0.509467i \(0.170157\pi\)
\(308\) −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 −0.361857 0.932234i \(-0.617857\pi\)
0.626409 + 0.779494i \(0.284524\pi\)
\(312\) 16.5054 16.2420i 0.934432 0.919523i
\(313\) −29.7181 + 5.24011i −1.67977 + 0.296189i −0.930558 0.366143i \(-0.880678\pi\)
−0.749211 + 0.662332i \(0.769567\pi\)
\(314\) −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 −0.971095 0.238692i \(-0.923281\pi\)
0.0664369 + 0.997791i \(0.478837\pi\)
\(318\) 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 −0.830482 0.557046i \(-0.811935\pi\)
0.897657 + 0.440696i \(0.145268\pi\)
\(332\) −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 0.254520 0.967068i \(-0.418083\pi\)
0.816593 + 0.577214i \(0.195860\pi\)
\(338\) 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 0.348876 0.937169i \(-0.386563\pi\)
0.869655 + 0.493660i \(0.164341\pi\)
\(348\) −6.32839 + 3.60860i −0.339237 + 0.193441i
\(349\) −11.8162 20.4662i −0.632504 1.09553i −0.987038 0.160486i \(-0.948694\pi\)
0.354534 0.935043i \(-0.384640\pi\)
\(350\) 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 0.484301 0.874901i \(-0.339074\pi\)
−0.515536 + 0.856868i \(0.672407\pi\)
\(354\) 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 −0.0387369 0.999249i \(-0.512333\pi\)
−0.378164 + 0.925739i \(0.623445\pi\)
\(360\) 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 0.193962 0.981009i \(-0.437866\pi\)
0.999786 0.0206644i \(-0.00657814\pi\)
\(368\) 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 −0.981582 0.191041i \(-0.938814\pi\)
0.325345 0.945595i \(-0.394520\pi\)
\(374\) 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 −0.786973 0.616988i \(-0.788353\pi\)
0.744271 + 0.667878i \(0.232797\pi\)
\(384\) −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 0.991711 + 0.128491i \(0.0410134\pi\)
−0.887957 + 0.459927i \(0.847875\pi\)
\(390\) −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 0.316957 0.948440i \(-0.397339\pi\)
−0.0265433 + 0.999648i \(0.508450\pi\)
\(398\) −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 −0.786013 0.618210i \(-0.787858\pi\)
−0.950051 + 0.312095i \(0.898969\pi\)
\(402\) 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 0.619010 0.785383i \(-0.287534\pi\)
0.850296 + 0.526305i \(0.176423\pi\)
\(410\) 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 \(-0.883553\pi\)
0.933827 0.357724i \(-0.116447\pi\)
\(420\) −11.0205 + 7.67494i −0.537746 + 0.374499i
\(421\) 20.9900 25.0149i 1.02299 1.21915i 0.0475559 0.998869i \(-0.484857\pi\)
0.975436 0.220285i \(-0.0706988\pi\)
\(422\) 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 −0.225793 + 0.974175i \(0.572497\pi\)
−0.998584 + 0.0531986i \(0.983058\pi\)
\(432\) −0.00279917 + 0.261052i −0.000134675 + 0.0125599i
\(433\) −9.11327 3.31696i −0.437956 0.159403i 0.113626 0.993524i \(-0.463753\pi\)
−0.551582 + 0.834121i \(0.685976\pi\)
\(434\) −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 0.932179 + 0.361997i \(0.117905\pi\)
−0.999772 + 0.0213422i \(0.993206\pi\)
\(440\) 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 −0.713671 0.700481i \(-0.752969\pi\)
0.565911 + 0.824466i \(0.308524\pi\)
\(444\) 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 −0.730374 0.683048i \(-0.760654\pi\)
0.226350 + 0.974046i \(0.427321\pi\)
\(450\) 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 \(0.0367023\pi\)
−0.993360 + 0.115048i \(0.963298\pi\)
\(458\) −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 −0.548818 0.835942i \(-0.684922\pi\)
0.116914 + 0.993142i \(0.462700\pi\)
\(462\) −12.3190 17.6941i −0.573130 0.823203i
\(463\) 4.03263 + 6.98472i 0.187412 + 0.324607i 0.944387 0.328837i \(-0.106657\pi\)
−0.756975 + 0.653444i \(0.773323\pi\)
\(464\) −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 −0.949802 0.312852i \(-0.898716\pi\)
0.745839 + 0.666126i \(0.232049\pi\)
\(468\) 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 −0.450461 0.892796i \(-0.648740\pi\)
0.918951 0.394371i \(-0.129038\pi\)
\(480\) −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 −0.859854 0.510540i \(-0.829446\pi\)
0.0122133 + 0.999925i \(0.496112\pi\)
\(488\) 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 −0.700244 0.713903i \(-0.746926\pi\)
0.824654 + 0.565638i \(0.191370\pi\)
\(492\) 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 0.714744 + 0.699386i \(0.246543\pi\)
−0.0979692 + 0.995189i \(0.531235\pi\)
\(500\) −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 −0.876674 0.481085i \(-0.840243\pi\)
0.659264 0.751912i \(-0.270868\pi\)
\(504\) 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 −0.950354 0.311171i \(-0.899279\pi\)
0.928030 + 0.372505i \(0.121501\pi\)
\(510\) 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 0.448139 0.893964i \(-0.352087\pi\)
−0.550126 + 0.835082i \(0.685420\pi\)
\(522\) −0.529447 6.24435i −0.0231733 0.273308i
\(523\) 11.2870 1.99021i 0.493547 0.0870257i 0.0786657 0.996901i \(-0.474934\pi\)
0.414882 + 0.909875i \(0.363823\pi\)
\(524\) −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 0.993093 + 0.117331i \(0.0374339\pi\)
−0.893072 + 0.449913i \(0.851455\pi\)
\(542\) −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 −0.830939 0.556363i \(-0.812196\pi\)
0.994160 + 0.107918i \(0.0344185\pi\)
\(548\) 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 −0.983786 0.179348i \(-0.942601\pi\)
−0.00579054 0.999983i \(-0.501843\pi\)
\(558\) −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 −0.889693 0.456560i \(-0.849081\pi\)
−0.0494539 + 0.998776i \(0.515748\pi\)
\(564\) −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 \(0.136905\pi\)
−0.908924 + 0.416962i \(0.863095\pi\)
\(570\) 15.2394 + 30.0447i 0.638309 + 1.25844i
\(571\) 24.1613i 1.01112i −0.862792 0.505559i \(-0.831286\pi\)
0.862792 0.505559i \(-0.168714\pi\)
\(572\) 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 −0.753991 0.656885i \(-0.771874\pi\)
0.191884 + 0.981418i \(0.438540\pi\)
\(578\) 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 −0.968291 0.249825i \(-0.919627\pi\)
0.995341 + 0.0964161i \(0.0307379\pi\)
\(588\) 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 −0.992007 0.126181i \(-0.959728\pi\)
0.841029 + 0.540990i \(0.181950\pi\)
\(594\) 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 0.939014 + 0.343878i \(0.111741\pi\)
−0.764772 + 0.644301i \(0.777148\pi\)
\(600\) 31.2902 + 14.6827i 1.27742 + 0.599418i
\(601\) 12.1327 7.00482i 0.494903 0.285732i −0.231703 0.972787i \(-0.574430\pi\)
0.726606 + 0.687054i \(0.241096\pi\)
\(602\) −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 \(-0.916853\pi\)
0.966077 0.258254i \(-0.0831472\pi\)
\(608\) −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 −0.835022 0.550216i \(-0.814545\pi\)
0.285992 0.958232i \(-0.407677\pi\)
\(614\) −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 −0.934254 0.356609i \(-0.883933\pi\)
−0.755944 + 0.654637i \(0.772822\pi\)
\(618\) 5.26158 0.446120i 0.211652 0.0179456i
\(619\) 20.6030 + 11.8952i 0.828106 + 0.478107i 0.853204 0.521578i \(-0.174656\pi\)
−0.0250980 + 0.999685i \(0.507990\pi\)
\(620\) 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 −0.910667 0.413141i \(-0.864432\pi\)
0.963173 + 0.268881i \(0.0866539\pi\)
\(632\) −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 0.746216 + 0.665704i \(0.231869\pi\)
−0.143728 + 0.989617i \(0.545909\pi\)
\(642\) −16.8393 + 35.8607i −0.664595 + 1.41531i
\(643\) −25.5499 21.4389i −1.00759 0.845466i −0.0195703 0.999808i \(-0.506230\pi\)
−0.988017 + 0.154342i \(0.950674\pi\)
\(644\) 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 −0.691618 0.722264i \(-0.743102\pi\)
0.279690 + 0.960090i \(0.409768\pi\)
\(654\) −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 −0.940356 0.340192i \(-0.889508\pi\)
0.171733 + 0.985144i \(0.445063\pi\)
\(660\) −23.5785 + 50.2303i −0.917792 + 1.95521i
\(661\) 5.25705 14.4436i 0.204476 0.561792i −0.794489 0.607278i \(-0.792261\pi\)
0.998965 + 0.0454858i \(0.0144836\pi\)
\(662\) −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 −0.510366 0.859957i \(-0.670490\pi\)
0.999928 + 0.0120114i \(0.00382342\pi\)
\(674\) −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 0.999297 + 0.0374862i \(0.0119350\pi\)
−0.467185 + 0.884160i \(0.654732\pi\)
\(678\) −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 \(-0.844730\pi\)
0.883369 0.468678i \(-0.155270\pi\)
\(684\) 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 −0.997409 0.0719353i \(-0.977082\pi\)
−0.436407 + 0.899749i \(0.643749\pi\)
\(692\) −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 −0.635615 0.772006i \(-0.719254\pi\)
0.861325 0.508055i \(-0.169635\pi\)
\(702\) 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 −0.503873 0.863778i \(-0.668092\pi\)
0.763159 + 0.646211i \(0.223648\pi\)
\(710\) −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 −0.427983 0.903787i \(-0.640776\pi\)
0.964375 + 0.264540i \(0.0852203\pi\)
\(720\) −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 0.306111 0.951996i \(-0.400972\pi\)
0.846426 + 0.532507i \(0.178750\pi\)
\(728\) −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 0.494038 0.869440i \(-0.335520\pi\)
−0.505938 + 0.862570i \(0.668854\pi\)
\(734\) −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 0.107083 0.994250i \(-0.465849\pi\)
−0.239429 + 0.970914i \(0.576960\pi\)
\(740\) 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 0.0957759 0.995403i \(-0.469467\pi\)
−0.250448 + 0.968130i \(0.580578\pi\)
\(744\) −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 −0.995237 0.0974835i \(-0.968921\pi\)
0.901876 0.431996i \(-0.142190\pi\)
\(752\) 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 −0.979823 0.199867i \(-0.935949\pi\)
0.366975 + 0.930231i \(0.380394\pi\)
\(758\) 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