Properties

Label 189.2.v.a.43.1
Level $189$
Weight $2$
Character 189.43
Analytic conductor $1.509$
Analytic rank $0$
Dimension $54$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(22,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([14, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.22");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.v (of order \(9\), 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: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(54\)
Relative dimension: \(9\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 43.1
Character \(\chi\) \(=\) 189.43
Dual form 189.2.v.a.22.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.88664 - 1.58308i) q^{2} +(0.279041 + 1.70943i) q^{3} +(0.705975 + 4.00378i) q^{4} +(-1.28676 - 0.468343i) q^{5} +(2.17970 - 3.66681i) q^{6} +(0.173648 - 0.984808i) q^{7} +(2.54355 - 4.40555i) q^{8} +(-2.84427 + 0.954001i) q^{9} +O(q^{10})\) \(q+(-1.88664 - 1.58308i) q^{2} +(0.279041 + 1.70943i) q^{3} +(0.705975 + 4.00378i) q^{4} +(-1.28676 - 0.468343i) q^{5} +(2.17970 - 3.66681i) q^{6} +(0.173648 - 0.984808i) q^{7} +(2.54355 - 4.40555i) q^{8} +(-2.84427 + 0.954001i) q^{9} +(1.68623 + 2.92064i) q^{10} +(-3.59139 + 1.30716i) q^{11} +(-6.64717 + 2.32403i) q^{12} +(-3.54356 + 2.97340i) q^{13} +(-1.88664 + 1.58308i) q^{14} +(0.441537 - 2.33031i) q^{15} +(-4.13236 + 1.50406i) q^{16} +(-1.43245 - 2.48108i) q^{17} +(6.87637 + 2.70285i) q^{18} +(-2.13911 + 3.70505i) q^{19} +(0.966721 - 5.48255i) q^{20} +(1.73191 + 0.0220365i) q^{21} +(8.84499 + 3.21931i) q^{22} +(1.00499 + 5.69960i) q^{23} +(8.24072 + 3.11867i) q^{24} +(-2.39381 - 2.00865i) q^{25} +11.3926 q^{26} +(-2.42446 - 4.59587i) q^{27} +4.06555 q^{28} +(5.29520 + 4.44320i) q^{29} +(-4.52208 + 3.69746i) q^{30} +(-0.0783192 - 0.444170i) q^{31} +(0.616711 + 0.224464i) q^{32} +(-3.23664 - 5.77446i) q^{33} +(-1.22522 + 6.94858i) q^{34} +(-0.684671 + 1.18589i) q^{35} +(-5.82759 - 10.7143i) q^{36} +(-3.07675 - 5.32908i) q^{37} +(9.90112 - 3.60371i) q^{38} +(-6.07161 - 5.22775i) q^{39} +(-5.33624 + 4.47764i) q^{40} +(-8.69548 + 7.29638i) q^{41} +(-3.23261 - 2.78333i) q^{42} +(5.96967 - 2.17278i) q^{43} +(-7.76900 - 13.4563i) q^{44} +(4.10670 + 0.104522i) q^{45} +(7.12685 - 12.3441i) q^{46} +(0.807676 - 4.58056i) q^{47} +(-3.72417 - 6.64427i) q^{48} +(-0.939693 - 0.342020i) q^{49} +(1.33642 + 7.57919i) q^{50} +(3.84151 - 3.14099i) q^{51} +(-14.4065 - 12.0885i) q^{52} +4.88750 q^{53} +(-2.70153 + 12.5089i) q^{54} +5.23345 q^{55} +(-3.89694 - 3.26992i) q^{56} +(-6.93041 - 2.62279i) q^{57} +(-2.95620 - 16.7654i) q^{58} +(5.52603 + 2.01131i) q^{59} +(9.64176 + 0.122680i) q^{60} +(-1.68726 + 9.56895i) q^{61} +(-0.555396 + 0.961975i) q^{62} +(0.445605 + 2.96672i) q^{63} +(3.58940 + 6.21703i) q^{64} +(5.95229 - 2.16646i) q^{65} +(-3.03506 + 16.0182i) q^{66} +(9.08244 - 7.62107i) q^{67} +(8.92242 - 7.48680i) q^{68} +(-9.46260 + 3.30838i) q^{69} +(3.16908 - 1.15345i) q^{70} +(-7.24460 - 12.5480i) q^{71} +(-3.03164 + 14.9571i) q^{72} +(-0.219751 + 0.380619i) q^{73} +(-2.63164 + 14.9248i) q^{74} +(2.76566 - 4.65254i) q^{75} +(-16.3444 - 5.94887i) q^{76} +(0.663662 + 3.76381i) q^{77} +(3.17900 + 19.4747i) q^{78} +(2.88406 + 2.42002i) q^{79} +6.02178 q^{80} +(7.17976 - 5.42688i) q^{81} +27.9560 q^{82} +(6.86836 + 5.76324i) q^{83} +(1.13446 + 6.94975i) q^{84} +(0.681227 + 3.86343i) q^{85} +(-14.7023 - 5.35120i) q^{86} +(-6.11775 + 10.2916i) q^{87} +(-3.37611 + 19.1469i) q^{88} +(-1.23885 + 2.14575i) q^{89} +(-7.58239 - 6.69842i) q^{90} +(2.31290 + 4.00605i) q^{91} +(-22.1104 + 8.04754i) q^{92} +(0.737422 - 0.257823i) q^{93} +(-8.77518 + 7.36325i) q^{94} +(4.48776 - 3.76568i) q^{95} +(-0.211617 + 1.11686i) q^{96} +(8.34707 - 3.03809i) q^{97} +(1.23142 + 2.13288i) q^{98} +(8.96785 - 7.14410i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54 q - 3 q^{3} - 3 q^{5} - 27 q^{8} - 9 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 54 q - 3 q^{3} - 3 q^{5} - 27 q^{8} - 9 q^{9} - 6 q^{11} + 24 q^{12} - 9 q^{13} - 9 q^{15} - 30 q^{17} - 27 q^{18} - 12 q^{20} - 3 q^{21} - 9 q^{22} - 12 q^{23} + 36 q^{24} + 27 q^{25} + 18 q^{26} + 63 q^{27} + 54 q^{28} + 6 q^{29} - 72 q^{30} - 9 q^{31} - 9 q^{32} - 36 q^{33} - 9 q^{34} - 12 q^{35} + 54 q^{38} + 12 q^{39} - 45 q^{40} - 15 q^{41} - 18 q^{42} - 9 q^{43} - 42 q^{44} - 9 q^{45} - 45 q^{47} - 93 q^{48} + 18 q^{50} + 72 q^{51} - 63 q^{52} + 132 q^{53} + 54 q^{54} - 9 q^{56} + 3 q^{57} - 27 q^{58} - 9 q^{60} - 36 q^{62} - 9 q^{63} - 27 q^{64} + 66 q^{65} + 153 q^{66} + 45 q^{67} + 87 q^{68} - 72 q^{71} - 45 q^{72} - 72 q^{74} - 39 q^{75} + 54 q^{76} + 3 q^{77} - 54 q^{78} - 36 q^{79} + 42 q^{80} + 27 q^{81} + 24 q^{83} - 12 q^{84} + 18 q^{85} - 90 q^{86} - 99 q^{87} + 54 q^{88} - 42 q^{89} - 9 q^{90} + 87 q^{92} + 93 q^{93} - 90 q^{94} + 12 q^{95} + 108 q^{96} - 18 q^{97} - 9 q^{98} - 117 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.88664 1.58308i −1.33406 1.11941i −0.983111 0.183009i \(-0.941416\pi\)
−0.350944 0.936396i \(-0.614139\pi\)
\(3\) 0.279041 + 1.70943i 0.161105 + 0.986937i
\(4\) 0.705975 + 4.00378i 0.352987 + 2.00189i
\(5\) −1.28676 0.468343i −0.575457 0.209449i 0.0378642 0.999283i \(-0.487945\pi\)
−0.613321 + 0.789834i \(0.710167\pi\)
\(6\) 2.17970 3.66681i 0.889860 1.49697i
\(7\) 0.173648 0.984808i 0.0656328 0.372222i
\(8\) 2.54355 4.40555i 0.899279 1.55760i
\(9\) −2.84427 + 0.954001i −0.948091 + 0.318000i
\(10\) 1.68623 + 2.92064i 0.533233 + 0.923586i
\(11\) −3.59139 + 1.30716i −1.08284 + 0.394123i −0.820965 0.570978i \(-0.806564\pi\)
−0.261879 + 0.965101i \(0.584342\pi\)
\(12\) −6.64717 + 2.32403i −1.91887 + 0.670890i
\(13\) −3.54356 + 2.97340i −0.982808 + 0.824673i −0.984511 0.175325i \(-0.943902\pi\)
0.00170302 + 0.999999i \(0.499458\pi\)
\(14\) −1.88664 + 1.58308i −0.504226 + 0.423096i
\(15\) 0.441537 2.33031i 0.114004 0.601683i
\(16\) −4.13236 + 1.50406i −1.03309 + 0.376014i
\(17\) −1.43245 2.48108i −0.347420 0.601750i 0.638370 0.769730i \(-0.279609\pi\)
−0.985790 + 0.167980i \(0.946276\pi\)
\(18\) 6.87637 + 2.70285i 1.62078 + 0.637068i
\(19\) −2.13911 + 3.70505i −0.490746 + 0.849997i −0.999943 0.0106528i \(-0.996609\pi\)
0.509197 + 0.860650i \(0.329942\pi\)
\(20\) 0.966721 5.48255i 0.216165 1.22593i
\(21\) 1.73191 + 0.0220365i 0.377934 + 0.00480875i
\(22\) 8.84499 + 3.21931i 1.88576 + 0.686360i
\(23\) 1.00499 + 5.69960i 0.209555 + 1.18845i 0.890108 + 0.455749i \(0.150629\pi\)
−0.680553 + 0.732699i \(0.738260\pi\)
\(24\) 8.24072 + 3.11867i 1.68213 + 0.636596i
\(25\) −2.39381 2.00865i −0.478763 0.401730i
\(26\) 11.3926 2.23426
\(27\) −2.42446 4.59587i −0.466588 0.884475i
\(28\) 4.06555 0.768316
\(29\) 5.29520 + 4.44320i 0.983295 + 0.825082i 0.984583 0.174917i \(-0.0559657\pi\)
−0.00128845 + 0.999999i \(0.500410\pi\)
\(30\) −4.52208 + 3.69746i −0.825616 + 0.675061i
\(31\) −0.0783192 0.444170i −0.0140665 0.0797753i 0.976966 0.213393i \(-0.0684516\pi\)
−0.991033 + 0.133618i \(0.957340\pi\)
\(32\) 0.616711 + 0.224464i 0.109020 + 0.0396801i
\(33\) −3.23664 5.77446i −0.563426 1.00520i
\(34\) −1.22522 + 6.94858i −0.210124 + 1.19167i
\(35\) −0.684671 + 1.18589i −0.115731 + 0.200451i
\(36\) −5.82759 10.7143i −0.971266 1.78572i
\(37\) −3.07675 5.32908i −0.505814 0.876096i −0.999977 0.00672691i \(-0.997859\pi\)
0.494163 0.869369i \(-0.335475\pi\)
\(38\) 9.90112 3.60371i 1.60617 0.584599i
\(39\) −6.07161 5.22775i −0.972236 0.837111i
\(40\) −5.33624 + 4.47764i −0.843734 + 0.707977i
\(41\) −8.69548 + 7.29638i −1.35801 + 1.13950i −0.381414 + 0.924404i \(0.624563\pi\)
−0.976592 + 0.215098i \(0.930993\pi\)
\(42\) −3.23261 2.78333i −0.498802 0.429476i
\(43\) 5.96967 2.17278i 0.910367 0.331346i 0.155968 0.987762i \(-0.450150\pi\)
0.754399 + 0.656416i \(0.227928\pi\)
\(44\) −7.76900 13.4563i −1.17122 2.02861i
\(45\) 4.10670 + 0.104522i 0.612190 + 0.0155813i
\(46\) 7.12685 12.3441i 1.05080 1.82003i
\(47\) 0.807676 4.58056i 0.117812 0.668143i −0.867508 0.497423i \(-0.834280\pi\)
0.985320 0.170720i \(-0.0546093\pi\)
\(48\) −3.72417 6.64427i −0.537538 0.959018i
\(49\) −0.939693 0.342020i −0.134242 0.0488600i
\(50\) 1.33642 + 7.57919i 0.188998 + 1.07186i
\(51\) 3.84151 3.14099i 0.537918 0.439827i
\(52\) −14.4065 12.0885i −1.99782 1.67637i
\(53\) 4.88750 0.671350 0.335675 0.941978i \(-0.391036\pi\)
0.335675 + 0.941978i \(0.391036\pi\)
\(54\) −2.70153 + 12.5089i −0.367631 + 1.70224i
\(55\) 5.23345 0.705679
\(56\) −3.89694 3.26992i −0.520750 0.436961i
\(57\) −6.93041 2.62279i −0.917955 0.347397i
\(58\) −2.95620 16.7654i −0.388168 2.20141i
\(59\) 5.52603 + 2.01131i 0.719427 + 0.261850i 0.675683 0.737193i \(-0.263849\pi\)
0.0437447 + 0.999043i \(0.486071\pi\)
\(60\) 9.64176 + 0.122680i 1.24475 + 0.0158379i
\(61\) −1.68726 + 9.56895i −0.216032 + 1.22518i 0.663075 + 0.748553i \(0.269251\pi\)
−0.879107 + 0.476625i \(0.841860\pi\)
\(62\) −0.555396 + 0.961975i −0.0705354 + 0.122171i
\(63\) 0.445605 + 2.96672i 0.0561410 + 0.373772i
\(64\) 3.58940 + 6.21703i 0.448675 + 0.777128i
\(65\) 5.95229 2.16646i 0.738291 0.268716i
\(66\) −3.03506 + 16.0182i −0.373590 + 1.97170i
\(67\) 9.08244 7.62107i 1.10960 0.931062i 0.111564 0.993757i \(-0.464414\pi\)
0.998033 + 0.0626951i \(0.0199696\pi\)
\(68\) 8.92242 7.48680i 1.08200 0.907908i
\(69\) −9.46260 + 3.30838i −1.13916 + 0.398283i
\(70\) 3.16908 1.15345i 0.378777 0.137864i
\(71\) −7.24460 12.5480i −0.859776 1.48918i −0.872142 0.489253i \(-0.837270\pi\)
0.0123657 0.999924i \(-0.496064\pi\)
\(72\) −3.03164 + 14.9571i −0.357282 + 1.76271i
\(73\) −0.219751 + 0.380619i −0.0257199 + 0.0445481i −0.878599 0.477561i \(-0.841521\pi\)
0.852879 + 0.522109i \(0.174854\pi\)
\(74\) −2.63164 + 14.9248i −0.305922 + 1.73497i
\(75\) 2.76566 4.65254i 0.319351 0.537229i
\(76\) −16.3444 5.94887i −1.87483 0.682382i
\(77\) 0.663662 + 3.76381i 0.0756313 + 0.428926i
\(78\) 3.17900 + 19.4747i 0.359950 + 2.20508i
\(79\) 2.88406 + 2.42002i 0.324483 + 0.272273i 0.790447 0.612530i \(-0.209848\pi\)
−0.465965 + 0.884803i \(0.654293\pi\)
\(80\) 6.02178 0.673255
\(81\) 7.17976 5.42688i 0.797751 0.602986i
\(82\) 27.9560 3.08722
\(83\) 6.86836 + 5.76324i 0.753900 + 0.632597i 0.936531 0.350584i \(-0.114017\pi\)
−0.182631 + 0.983182i \(0.558461\pi\)
\(84\) 1.13446 + 6.94975i 0.123779 + 0.758280i
\(85\) 0.681227 + 3.86343i 0.0738895 + 0.419048i
\(86\) −14.7023 5.35120i −1.58539 0.577035i
\(87\) −6.11775 + 10.2916i −0.655891 + 1.10337i
\(88\) −3.37611 + 19.1469i −0.359894 + 2.04106i
\(89\) −1.23885 + 2.14575i −0.131318 + 0.227449i −0.924185 0.381946i \(-0.875254\pi\)
0.792867 + 0.609395i \(0.208588\pi\)
\(90\) −7.58239 6.69842i −0.799254 0.706075i
\(91\) 2.31290 + 4.00605i 0.242457 + 0.419949i
\(92\) −22.1104 + 8.04754i −2.30517 + 0.839014i
\(93\) 0.737422 0.257823i 0.0764671 0.0267350i
\(94\) −8.77518 + 7.36325i −0.905090 + 0.759461i
\(95\) 4.48776 3.76568i 0.460434 0.386350i
\(96\) −0.211617 + 1.11686i −0.0215981 + 0.113989i
\(97\) 8.34707 3.03809i 0.847517 0.308471i 0.118489 0.992955i \(-0.462195\pi\)
0.729027 + 0.684484i \(0.239973\pi\)
\(98\) 1.23142 + 2.13288i 0.124392 + 0.215453i
\(99\) 8.96785 7.14410i 0.901303 0.718009i
\(100\) 6.35222 11.0024i 0.635222 1.10024i
\(101\) −3.16209 + 17.9331i −0.314640 + 1.78441i 0.259593 + 0.965718i \(0.416412\pi\)
−0.574233 + 0.818692i \(0.694699\pi\)
\(102\) −12.2200 0.155484i −1.20996 0.0153952i
\(103\) −11.6572 4.24286i −1.14861 0.418061i −0.303597 0.952801i \(-0.598188\pi\)
−0.845017 + 0.534739i \(0.820410\pi\)
\(104\) 4.08626 + 23.1743i 0.400691 + 2.27243i
\(105\) −2.21823 0.839483i −0.216477 0.0819252i
\(106\) −9.22096 7.73730i −0.895619 0.751513i
\(107\) 3.63247 0.351164 0.175582 0.984465i \(-0.443819\pi\)
0.175582 + 0.984465i \(0.443819\pi\)
\(108\) 16.6892 12.9516i 1.60592 1.24627i
\(109\) −2.56583 −0.245762 −0.122881 0.992421i \(-0.539213\pi\)
−0.122881 + 0.992421i \(0.539213\pi\)
\(110\) −9.87364 8.28497i −0.941415 0.789941i
\(111\) 8.25113 6.74651i 0.783163 0.640350i
\(112\) 0.763630 + 4.33076i 0.0721562 + 0.409218i
\(113\) −2.69994 0.982698i −0.253989 0.0924445i 0.211888 0.977294i \(-0.432039\pi\)
−0.465877 + 0.884850i \(0.654261\pi\)
\(114\) 8.92310 + 15.9196i 0.835725 + 1.49101i
\(115\) 1.37618 7.80470i 0.128329 0.727792i
\(116\) −14.0513 + 24.3376i −1.30463 + 2.25969i
\(117\) 7.24223 11.8377i 0.669544 1.09440i
\(118\) −7.24156 12.5427i −0.666640 1.15465i
\(119\) −2.69213 + 0.979854i −0.246787 + 0.0898231i
\(120\) −9.14322 7.87246i −0.834658 0.718654i
\(121\) 2.76291 2.31836i 0.251174 0.210760i
\(122\) 18.3317 15.3821i 1.65967 1.39263i
\(123\) −14.8990 12.8283i −1.34340 1.15669i
\(124\) 1.72307 0.627146i 0.154736 0.0563194i
\(125\) 5.56289 + 9.63520i 0.497560 + 0.861799i
\(126\) 3.85586 6.30256i 0.343507 0.561477i
\(127\) −10.6990 + 18.5312i −0.949383 + 1.64438i −0.202656 + 0.979250i \(0.564957\pi\)
−0.746727 + 0.665130i \(0.768376\pi\)
\(128\) 3.29806 18.7042i 0.291510 1.65324i
\(129\) 5.38000 + 9.59842i 0.473683 + 0.845094i
\(130\) −14.6595 5.33562i −1.28572 0.467965i
\(131\) −1.40558 7.97146i −0.122806 0.696469i −0.982587 0.185805i \(-0.940511\pi\)
0.859780 0.510664i \(-0.170600\pi\)
\(132\) 20.8347 17.0354i 1.81343 1.48274i
\(133\) 3.27731 + 2.74999i 0.284179 + 0.238454i
\(134\) −29.2000 −2.52250
\(135\) 0.967265 + 7.04926i 0.0832490 + 0.606704i
\(136\) −14.5740 −1.24971
\(137\) 4.65744 + 3.90806i 0.397912 + 0.333888i 0.819686 0.572813i \(-0.194148\pi\)
−0.421774 + 0.906701i \(0.638592\pi\)
\(138\) 23.0899 + 8.73831i 1.96555 + 0.743855i
\(139\) 0.266865 + 1.51347i 0.0226352 + 0.128371i 0.994031 0.109094i \(-0.0347948\pi\)
−0.971396 + 0.237464i \(0.923684\pi\)
\(140\) −5.23138 1.90407i −0.442133 0.160923i
\(141\) 8.05550 + 0.102496i 0.678395 + 0.00863176i
\(142\) −6.19655 + 35.1424i −0.520003 + 2.94908i
\(143\) 8.83960 15.3106i 0.739205 1.28034i
\(144\) 10.3187 8.22023i 0.859891 0.685019i
\(145\) −4.73272 8.19731i −0.393031 0.680750i
\(146\) 1.01714 0.370209i 0.0841791 0.0306387i
\(147\) 0.322445 1.70177i 0.0265948 0.140360i
\(148\) 19.1644 16.0808i 1.57530 1.32184i
\(149\) −5.45790 + 4.57972i −0.447128 + 0.375185i −0.838369 0.545103i \(-0.816490\pi\)
0.391241 + 0.920288i \(0.372046\pi\)
\(150\) −12.5831 + 4.39941i −1.02741 + 0.359210i
\(151\) 1.13066 0.411527i 0.0920118 0.0334896i −0.295604 0.955311i \(-0.595521\pi\)
0.387616 + 0.921821i \(0.373299\pi\)
\(152\) 10.8819 + 18.8479i 0.882636 + 1.52877i
\(153\) 6.44123 + 5.69030i 0.520743 + 0.460034i
\(154\) 4.70632 8.15158i 0.379246 0.656873i
\(155\) −0.107246 + 0.608221i −0.00861419 + 0.0488535i
\(156\) 16.6444 28.0001i 1.33262 2.24180i
\(157\) −8.23835 2.99851i −0.657492 0.239307i −0.00833856 0.999965i \(-0.502654\pi\)
−0.649153 + 0.760658i \(0.724876\pi\)
\(158\) −1.61011 9.13140i −0.128094 0.726455i
\(159\) 1.36382 + 8.35482i 0.108158 + 0.662581i
\(160\) −0.688433 0.577664i −0.0544254 0.0456683i
\(161\) 5.78752 0.456121
\(162\) −22.1368 1.12757i −1.73923 0.0885901i
\(163\) −24.5688 −1.92437 −0.962187 0.272391i \(-0.912185\pi\)
−0.962187 + 0.272391i \(0.912185\pi\)
\(164\) −35.3519 29.6637i −2.76052 2.31635i
\(165\) 1.46035 + 8.94620i 0.113688 + 0.696461i
\(166\) −3.83446 21.7463i −0.297612 1.68784i
\(167\) −0.912045 0.331957i −0.0705762 0.0256876i 0.306491 0.951874i \(-0.400845\pi\)
−0.377067 + 0.926186i \(0.623067\pi\)
\(168\) 4.50228 7.57397i 0.347358 0.584345i
\(169\) 1.45829 8.27038i 0.112176 0.636183i
\(170\) 4.83089 8.36734i 0.370512 0.641746i
\(171\) 2.54959 12.5789i 0.194972 0.961932i
\(172\) 12.9138 + 22.3673i 0.984667 + 1.70549i
\(173\) −16.1753 + 5.88732i −1.22978 + 0.447604i −0.873523 0.486783i \(-0.838170\pi\)
−0.356260 + 0.934387i \(0.615948\pi\)
\(174\) 27.8344 9.73166i 2.11012 0.737755i
\(175\) −2.39381 + 2.00865i −0.180955 + 0.151840i
\(176\) 12.8749 10.8033i 0.970480 0.814330i
\(177\) −1.89619 + 10.0076i −0.142527 + 0.752215i
\(178\) 5.73415 2.08706i 0.429793 0.156432i
\(179\) −4.24234 7.34794i −0.317087 0.549211i 0.662792 0.748804i \(-0.269371\pi\)
−0.979879 + 0.199593i \(0.936038\pi\)
\(180\) 2.48074 + 16.5161i 0.184903 + 1.23104i
\(181\) −11.6691 + 20.2115i −0.867360 + 1.50231i −0.00267544 + 0.999996i \(0.500852\pi\)
−0.864685 + 0.502315i \(0.832482\pi\)
\(182\) 1.97830 11.2195i 0.146641 0.831643i
\(183\) −16.8282 0.214119i −1.24398 0.0158281i
\(184\) 27.6661 + 10.0696i 2.03957 + 0.742344i
\(185\) 1.46320 + 8.29823i 0.107577 + 0.610098i
\(186\) −1.79940 0.680978i −0.131939 0.0499317i
\(187\) 8.38765 + 7.03807i 0.613366 + 0.514675i
\(188\) 18.9098 1.37914
\(189\) −4.94705 + 1.58957i −0.359845 + 0.115624i
\(190\) −14.4281 −1.04673
\(191\) 6.57686 + 5.51864i 0.475885 + 0.399315i 0.848936 0.528496i \(-0.177244\pi\)
−0.373051 + 0.927811i \(0.621688\pi\)
\(192\) −9.62595 + 7.87062i −0.694693 + 0.568013i
\(193\) 1.47696 + 8.37626i 0.106314 + 0.602937i 0.990687 + 0.136156i \(0.0434750\pi\)
−0.884373 + 0.466780i \(0.845414\pi\)
\(194\) −20.5574 7.48230i −1.47594 0.537198i
\(195\) 5.36433 + 9.57046i 0.384148 + 0.685355i
\(196\) 0.705975 4.00378i 0.0504268 0.285984i
\(197\) 1.84979 3.20393i 0.131792 0.228270i −0.792575 0.609774i \(-0.791260\pi\)
0.924367 + 0.381503i \(0.124594\pi\)
\(198\) −28.2288 0.718470i −2.00613 0.0510594i
\(199\) 0.387670 + 0.671464i 0.0274812 + 0.0475988i 0.879439 0.476012i \(-0.157918\pi\)
−0.851958 + 0.523611i \(0.824585\pi\)
\(200\) −14.9380 + 5.43698i −1.05627 + 0.384453i
\(201\) 15.5620 + 13.3992i 1.09766 + 0.945104i
\(202\) 34.3552 28.8275i 2.41723 2.02829i
\(203\) 5.29520 4.44320i 0.371650 0.311852i
\(204\) 15.2879 + 13.1631i 1.07036 + 0.921600i
\(205\) 14.6062 5.31623i 1.02014 0.371301i
\(206\) 15.2761 + 26.4589i 1.06433 + 1.84348i
\(207\) −8.29589 15.2524i −0.576604 1.06012i
\(208\) 10.1711 17.6169i 0.705240 1.22151i
\(209\) 2.83929 16.1024i 0.196398 1.11383i
\(210\) 2.85604 + 5.09544i 0.197085 + 0.351619i
\(211\) 21.9480 + 7.98843i 1.51096 + 0.549946i 0.958872 0.283838i \(-0.0916077\pi\)
0.552092 + 0.833784i \(0.313830\pi\)
\(212\) 3.45045 + 19.5685i 0.236978 + 1.34397i
\(213\) 19.4284 15.8855i 1.33121 1.08846i
\(214\) −6.85315 5.75048i −0.468472 0.393095i
\(215\) −8.69915 −0.593277
\(216\) −26.4141 1.00870i −1.79725 0.0686330i
\(217\) −0.451022 −0.0306174
\(218\) 4.84080 + 4.06191i 0.327860 + 0.275107i
\(219\) −0.711959 0.269439i −0.0481098 0.0182070i
\(220\) 3.69469 + 20.9536i 0.249096 + 1.41269i
\(221\) 12.4532 + 4.53260i 0.837695 + 0.304896i
\(222\) −26.2472 0.333963i −1.76159 0.0224141i
\(223\) −2.63175 + 14.9254i −0.176235 + 0.999480i 0.760473 + 0.649370i \(0.224967\pi\)
−0.936708 + 0.350111i \(0.886144\pi\)
\(224\) 0.328145 0.568364i 0.0219251 0.0379754i
\(225\) 8.72491 + 3.42944i 0.581661 + 0.228629i
\(226\) 3.53813 + 6.12822i 0.235353 + 0.407643i
\(227\) 1.89235 0.688760i 0.125600 0.0457146i −0.278456 0.960449i \(-0.589823\pi\)
0.404055 + 0.914735i \(0.367600\pi\)
\(228\) 5.60838 29.5995i 0.371424 1.96027i
\(229\) −12.0380 + 10.1011i −0.795493 + 0.667498i −0.947099 0.320943i \(-0.896000\pi\)
0.151605 + 0.988441i \(0.451556\pi\)
\(230\) −14.9518 + 12.5461i −0.985893 + 0.827262i
\(231\) −6.24877 + 2.18474i −0.411139 + 0.143745i
\(232\) 33.0434 12.0268i 2.16940 0.789598i
\(233\) −3.22116 5.57922i −0.211026 0.365507i 0.741010 0.671494i \(-0.234347\pi\)
−0.952036 + 0.305987i \(0.901014\pi\)
\(234\) −32.4035 + 10.8685i −2.11828 + 0.710497i
\(235\) −3.18456 + 5.51581i −0.207738 + 0.359812i
\(236\) −4.15161 + 23.5449i −0.270247 + 1.53264i
\(237\) −3.33207 + 5.60538i −0.216441 + 0.364108i
\(238\) 6.63026 + 2.41322i 0.429776 + 0.156426i
\(239\) −1.13091 6.41370i −0.0731524 0.414868i −0.999290 0.0376816i \(-0.988003\pi\)
0.926137 0.377186i \(-0.123108\pi\)
\(240\) 1.68033 + 10.2938i 0.108465 + 0.664460i
\(241\) −13.5854 11.3995i −0.875110 0.734305i 0.0900573 0.995937i \(-0.471295\pi\)
−0.965168 + 0.261632i \(0.915739\pi\)
\(242\) −8.88276 −0.571005
\(243\) 11.2803 + 10.7589i 0.723631 + 0.690187i
\(244\) −39.5031 −2.52893
\(245\) 1.04898 + 0.880196i 0.0670167 + 0.0562337i
\(246\) 7.80088 + 47.7887i 0.497366 + 3.04689i
\(247\) −3.43653 19.4895i −0.218661 1.24009i
\(248\) −2.15602 0.784729i −0.136908 0.0498303i
\(249\) −7.93527 + 13.3491i −0.502877 + 0.845967i
\(250\) 4.75812 26.9846i 0.300930 1.70666i
\(251\) 9.77717 16.9345i 0.617129 1.06890i −0.372878 0.927881i \(-0.621629\pi\)
0.990007 0.141019i \(-0.0450378\pi\)
\(252\) −11.5635 + 3.87854i −0.728433 + 0.244325i
\(253\) −11.0596 19.1558i −0.695311 1.20431i
\(254\) 49.5215 18.0244i 3.10726 1.13095i
\(255\) −6.41416 + 2.24257i −0.401670 + 0.140435i
\(256\) −24.8340 + 20.8382i −1.55212 + 1.30238i
\(257\) −1.70748 + 1.43275i −0.106510 + 0.0893723i −0.694487 0.719505i \(-0.744369\pi\)
0.587978 + 0.808877i \(0.299924\pi\)
\(258\) 5.04493 26.6257i 0.314084 1.65764i
\(259\) −5.78240 + 2.10462i −0.359301 + 0.130775i
\(260\) 12.8762 + 22.3022i 0.798547 + 1.38312i
\(261\) −19.2998 7.58605i −1.19463 0.469565i
\(262\) −9.96761 + 17.2644i −0.615801 + 1.06660i
\(263\) 3.65865 20.7492i 0.225602 1.27945i −0.635929 0.771748i \(-0.719383\pi\)
0.861531 0.507705i \(-0.169506\pi\)
\(264\) −33.6722 0.428438i −2.07238 0.0263685i
\(265\) −6.28905 2.28903i −0.386333 0.140614i
\(266\) −1.82965 10.3765i −0.112183 0.636223i
\(267\) −4.01369 1.51897i −0.245634 0.0929593i
\(268\) 36.9251 + 30.9838i 2.25556 + 1.89264i
\(269\) 3.29751 0.201053 0.100526 0.994934i \(-0.467947\pi\)
0.100526 + 0.994934i \(0.467947\pi\)
\(270\) 9.33465 14.8307i 0.568089 0.902566i
\(271\) 10.3400 0.628108 0.314054 0.949405i \(-0.398313\pi\)
0.314054 + 0.949405i \(0.398313\pi\)
\(272\) 9.65109 + 8.09823i 0.585183 + 0.491027i
\(273\) −6.20266 + 5.07158i −0.375402 + 0.306946i
\(274\) −2.60015 14.7462i −0.157081 0.890850i
\(275\) 11.2227 + 4.08474i 0.676756 + 0.246319i
\(276\) −19.9264 35.5505i −1.19943 2.13989i
\(277\) 4.49758 25.5070i 0.270233 1.53257i −0.483474 0.875359i \(-0.660625\pi\)
0.753707 0.657211i \(-0.228264\pi\)
\(278\) 1.89246 3.27784i 0.113502 0.196592i
\(279\) 0.646500 + 1.18862i 0.0387050 + 0.0711611i
\(280\) 3.48299 + 6.03271i 0.208148 + 0.360523i
\(281\) 6.23984 2.27112i 0.372238 0.135483i −0.149126 0.988818i \(-0.547646\pi\)
0.521363 + 0.853335i \(0.325424\pi\)
\(282\) −15.0356 12.9459i −0.895355 0.770915i
\(283\) −7.12938 + 5.98226i −0.423798 + 0.355608i −0.829606 0.558350i \(-0.811435\pi\)
0.405808 + 0.913958i \(0.366990\pi\)
\(284\) 45.1250 37.8644i 2.67768 2.24684i
\(285\) 7.68942 + 6.62071i 0.455482 + 0.392177i
\(286\) −40.9151 + 14.8919i −2.41936 + 0.880575i
\(287\) 5.67557 + 9.83038i 0.335019 + 0.580269i
\(288\) −1.96823 0.0500948i −0.115979 0.00295187i
\(289\) 4.39617 7.61438i 0.258598 0.447905i
\(290\) −4.04805 + 22.9576i −0.237710 + 1.34812i
\(291\) 7.52256 + 13.4209i 0.440980 + 0.786750i
\(292\) −1.67905 0.611125i −0.0982592 0.0357634i
\(293\) 0.734552 + 4.16585i 0.0429130 + 0.243372i 0.998717 0.0506316i \(-0.0161234\pi\)
−0.955804 + 0.294003i \(0.905012\pi\)
\(294\) −3.30238 + 2.70018i −0.192598 + 0.157477i
\(295\) −6.16869 5.17615i −0.359155 0.301367i
\(296\) −31.3034 −1.81947
\(297\) 14.7147 + 13.3364i 0.853834 + 0.773855i
\(298\) 17.5471 1.01648
\(299\) −20.5084 17.2086i −1.18603 0.995201i
\(300\) 20.5802 + 7.78853i 1.18820 + 0.449671i
\(301\) −1.10315 6.25628i −0.0635846 0.360606i
\(302\) −2.78463 1.01352i −0.160237 0.0583216i
\(303\) −31.5377 0.401278i −1.81179 0.0230528i
\(304\) 3.26698 18.5280i 0.187374 1.06265i
\(305\) 6.65265 11.5227i 0.380930 0.659789i
\(306\) −3.14409 20.9325i −0.179736 1.19663i
\(307\) −3.73798 6.47438i −0.213338 0.369512i 0.739419 0.673245i \(-0.235100\pi\)
−0.952757 + 0.303733i \(0.901767\pi\)
\(308\) −14.6009 + 5.31431i −0.831966 + 0.302811i
\(309\) 4.00002 21.1110i 0.227553 1.20096i
\(310\) 1.16520 0.977716i 0.0661787 0.0555305i
\(311\) −0.0174911 + 0.0146768i −0.000991828 + 0.000832242i −0.643283 0.765628i \(-0.722428\pi\)
0.642292 + 0.766460i \(0.277984\pi\)
\(312\) −38.4746 + 13.4518i −2.17819 + 0.761556i
\(313\) 10.8870 3.96254i 0.615369 0.223976i −0.0154817 0.999880i \(-0.504928\pi\)
0.630851 + 0.775904i \(0.282706\pi\)
\(314\) 10.7959 + 18.6991i 0.609248 + 1.05525i
\(315\) 0.816055 4.02616i 0.0459795 0.226848i
\(316\) −7.65314 + 13.2556i −0.430523 + 0.745687i
\(317\) −3.79166 + 21.5036i −0.212961 + 1.20776i 0.671449 + 0.741051i \(0.265672\pi\)
−0.884410 + 0.466711i \(0.845439\pi\)
\(318\) 10.6533 17.9216i 0.597408 1.00499i
\(319\) −24.8251 9.03560i −1.38994 0.505896i
\(320\) −1.70700 9.68090i −0.0954244 0.541179i
\(321\) 1.01361 + 6.20943i 0.0565741 + 0.346577i
\(322\) −10.9190 9.16210i −0.608490 0.510584i
\(323\) 12.2567 0.681981
\(324\) 26.7968 + 24.9150i 1.48871 + 1.38416i
\(325\) 14.4552 0.801827
\(326\) 46.3524 + 38.8943i 2.56722 + 2.15415i
\(327\) −0.715973 4.38610i −0.0395934 0.242552i
\(328\) 10.0272 + 56.8671i 0.553659 + 3.13996i
\(329\) −4.37072 1.59081i −0.240965 0.0877043i
\(330\) 11.4074 19.1901i 0.627956 1.05638i
\(331\) −0.722134 + 4.09543i −0.0396921 + 0.225105i −0.998201 0.0599578i \(-0.980903\pi\)
0.958509 + 0.285063i \(0.0920145\pi\)
\(332\) −18.2258 + 31.5681i −1.00027 + 1.73252i
\(333\) 13.8351 + 12.2221i 0.758157 + 0.669769i
\(334\) 1.19519 + 2.07012i 0.0653977 + 0.113272i
\(335\) −15.2562 + 5.55280i −0.833535 + 0.303382i
\(336\) −7.19003 + 2.51383i −0.392248 + 0.137141i
\(337\) −17.4364 + 14.6309i −0.949824 + 0.796997i −0.979268 0.202570i \(-0.935071\pi\)
0.0294442 + 0.999566i \(0.490626\pi\)
\(338\) −15.8439 + 13.2946i −0.861796 + 0.723133i
\(339\) 0.926454 4.88956i 0.0503181 0.265565i
\(340\) −14.9874 + 5.45497i −0.812806 + 0.295837i
\(341\) 0.861875 + 1.49281i 0.0466732 + 0.0808403i
\(342\) −24.7235 + 19.6956i −1.33690 + 1.06502i
\(343\) −0.500000 + 0.866025i −0.0269975 + 0.0467610i
\(344\) 5.61183 31.8263i 0.302570 1.71596i
\(345\) 13.7256 + 0.174641i 0.738959 + 0.00940236i
\(346\) 39.8370 + 14.4995i 2.14165 + 0.779497i
\(347\) 2.67435 + 15.1670i 0.143566 + 0.814205i 0.968507 + 0.248986i \(0.0800973\pi\)
−0.824941 + 0.565219i \(0.808792\pi\)
\(348\) −45.5243 17.2285i −2.44036 0.923545i
\(349\) 9.24132 + 7.75439i 0.494677 + 0.415083i 0.855699 0.517474i \(-0.173128\pi\)
−0.361022 + 0.932557i \(0.617572\pi\)
\(350\) 7.69611 0.411374
\(351\) 22.2566 + 9.07683i 1.18797 + 0.484485i
\(352\) −2.50826 −0.133691
\(353\) −12.4158 10.4181i −0.660829 0.554501i 0.249506 0.968373i \(-0.419732\pi\)
−0.910335 + 0.413872i \(0.864176\pi\)
\(354\) 19.4202 15.8789i 1.03217 0.843952i
\(355\) 3.44530 + 19.5393i 0.182857 + 1.03704i
\(356\) −9.46571 3.44524i −0.501682 0.182597i
\(357\) −2.42620 4.32857i −0.128408 0.229092i
\(358\) −3.62861 + 20.5789i −0.191778 + 1.08763i
\(359\) −3.17922 + 5.50657i −0.167793 + 0.290626i −0.937644 0.347598i \(-0.886997\pi\)
0.769851 + 0.638224i \(0.220331\pi\)
\(360\) 10.9061 17.8264i 0.574799 0.939534i
\(361\) 0.348395 + 0.603438i 0.0183366 + 0.0317599i
\(362\) 54.0119 19.6587i 2.83880 1.03324i
\(363\) 4.73403 + 4.07607i 0.248472 + 0.213938i
\(364\) −14.4065 + 12.0885i −0.755107 + 0.633610i
\(365\) 0.461026 0.386847i 0.0241312 0.0202485i
\(366\) 31.4098 + 27.0444i 1.64182 + 1.41363i
\(367\) 13.4234 4.88572i 0.700696 0.255032i 0.0329880 0.999456i \(-0.489498\pi\)
0.667708 + 0.744423i \(0.267275\pi\)
\(368\) −12.7255 22.0412i −0.663363 1.14898i
\(369\) 17.7716 29.0484i 0.925151 1.51220i
\(370\) 10.3762 17.9721i 0.539434 0.934327i
\(371\) 0.848706 4.81325i 0.0440626 0.249892i
\(372\) 1.55287 + 2.77046i 0.0805124 + 0.143642i
\(373\) 15.5058 + 5.64364i 0.802858 + 0.292217i 0.710670 0.703525i \(-0.248392\pi\)
0.0921879 + 0.995742i \(0.470614\pi\)
\(374\) −4.68265 26.5566i −0.242134 1.37321i
\(375\) −14.9184 + 12.1980i −0.770382 + 0.629900i
\(376\) −18.1255 15.2091i −0.934753 0.784351i
\(377\) −31.9753 −1.64681
\(378\) 11.8497 + 4.83262i 0.609483 + 0.248563i
\(379\) 36.9064 1.89575 0.947877 0.318637i \(-0.103225\pi\)
0.947877 + 0.318637i \(0.103225\pi\)
\(380\) 18.2452 + 15.3095i 0.935958 + 0.785362i
\(381\) −34.6632 13.1182i −1.77585 0.672065i
\(382\) −3.67172 20.8234i −0.187862 1.06542i
\(383\) −6.94600 2.52814i −0.354924 0.129182i 0.158404 0.987374i \(-0.449365\pi\)
−0.513328 + 0.858193i \(0.671587\pi\)
\(384\) 32.8938 + 0.418533i 1.67860 + 0.0213582i
\(385\) 0.908780 5.15395i 0.0463157 0.262669i
\(386\) 10.4738 18.1411i 0.533102 0.923359i
\(387\) −14.9065 + 11.8751i −0.757742 + 0.603643i
\(388\) 18.0567 + 31.2750i 0.916688 + 1.58775i
\(389\) 6.34401 2.30903i 0.321654 0.117073i −0.176147 0.984364i \(-0.556363\pi\)
0.497801 + 0.867291i \(0.334141\pi\)
\(390\) 5.03024 26.5482i 0.254716 1.34432i
\(391\) 12.7015 10.6579i 0.642345 0.538991i
\(392\) −3.89694 + 3.26992i −0.196825 + 0.165156i
\(393\) 13.2344 4.62711i 0.667587 0.233407i
\(394\) −8.56195 + 3.11630i −0.431345 + 0.156997i
\(395\) −2.57770 4.46471i −0.129698 0.224644i
\(396\) 34.9345 + 30.8618i 1.75552 + 1.55086i
\(397\) −15.0941 + 26.1438i −0.757552 + 1.31212i 0.186543 + 0.982447i \(0.440272\pi\)
−0.944095 + 0.329672i \(0.893062\pi\)
\(398\) 0.331587 1.88052i 0.0166209 0.0942620i
\(399\) −3.78640 + 6.36968i −0.189557 + 0.318883i
\(400\) 12.9132 + 4.70003i 0.645661 + 0.235002i
\(401\) −1.45414 8.24685i −0.0726164 0.411828i −0.999348 0.0361040i \(-0.988505\pi\)
0.926732 0.375724i \(-0.122606\pi\)
\(402\) −8.14802 49.9153i −0.406386 2.48955i
\(403\) 1.59823 + 1.34107i 0.0796133 + 0.0668035i
\(404\) −74.0326 −3.68326
\(405\) −11.7803 + 3.62050i −0.585367 + 0.179904i
\(406\) −17.0241 −0.844891
\(407\) 18.0158 + 15.1170i 0.893008 + 0.749322i
\(408\) −4.06676 24.9132i −0.201334 1.23339i
\(409\) −0.787516 4.46622i −0.0389401 0.220840i 0.959128 0.282973i \(-0.0913208\pi\)
−0.998068 + 0.0621330i \(0.980210\pi\)
\(410\) −35.9727 13.0930i −1.77656 0.646616i
\(411\) −5.38091 + 9.05206i −0.265421 + 0.446505i
\(412\) 8.75782 49.6681i 0.431467 2.44697i
\(413\) 2.94034 5.09281i 0.144685 0.250601i
\(414\) −8.49444 + 41.9089i −0.417479 + 2.05971i
\(415\) −6.13876 10.6327i −0.301340 0.521936i
\(416\) −2.85278 + 1.03833i −0.139869 + 0.0509081i
\(417\) −2.51269 + 0.878506i −0.123047 + 0.0430206i
\(418\) −30.8481 + 25.8847i −1.50883 + 1.26606i
\(419\) 25.2422 21.1807i 1.23316 1.03474i 0.235133 0.971963i \(-0.424447\pi\)
0.998027 0.0627817i \(-0.0199972\pi\)
\(420\) 1.79509 9.47398i 0.0875914 0.462283i
\(421\) −29.8558 + 10.8666i −1.45508 + 0.529608i −0.944007 0.329927i \(-0.892976\pi\)
−0.511078 + 0.859534i \(0.670754\pi\)
\(422\) −28.7617 49.8167i −1.40010 2.42504i
\(423\) 2.07261 + 13.7989i 0.100774 + 0.670924i
\(424\) 12.4316 21.5322i 0.603732 1.04569i
\(425\) −1.55459 + 8.81653i −0.0754088 + 0.427665i
\(426\) −61.8024 0.786360i −2.99433 0.0380993i
\(427\) 9.13058 + 3.32326i 0.441860 + 0.160824i
\(428\) 2.56443 + 14.5436i 0.123956 + 0.702991i
\(429\) 28.6390 + 10.8383i 1.38270 + 0.523280i
\(430\) 16.4122 + 13.7714i 0.791465 + 0.664118i
\(431\) −8.24222 −0.397014 −0.198507 0.980100i \(-0.563609\pi\)
−0.198507 + 0.980100i \(0.563609\pi\)
\(432\) 16.9312 + 15.3452i 0.814603 + 0.738299i
\(433\) −25.7918 −1.23947 −0.619736 0.784810i \(-0.712760\pi\)
−0.619736 + 0.784810i \(0.712760\pi\)
\(434\) 0.850917 + 0.714004i 0.0408453 + 0.0342733i
\(435\) 12.6921 10.3776i 0.608538 0.497569i
\(436\) −1.81141 10.2730i −0.0867509 0.491989i
\(437\) −23.2671 8.46853i −1.11302 0.405105i
\(438\) 0.916668 + 1.63542i 0.0438001 + 0.0781434i
\(439\) −2.61106 + 14.8080i −0.124619 + 0.706749i 0.856915 + 0.515458i \(0.172378\pi\)
−0.981533 + 0.191290i \(0.938733\pi\)
\(440\) 13.3115 23.0563i 0.634602 1.09916i
\(441\) 2.99903 + 0.0763303i 0.142811 + 0.00363478i
\(442\) −16.3193 28.2658i −0.776229 1.34447i
\(443\) −12.7996 + 4.65868i −0.608128 + 0.221340i −0.627684 0.778468i \(-0.715997\pi\)
0.0195561 + 0.999809i \(0.493775\pi\)
\(444\) 32.8366 + 28.2729i 1.55836 + 1.34177i
\(445\) 2.59905 2.18086i 0.123207 0.103383i
\(446\) 28.5933 23.9926i 1.35393 1.13608i
\(447\) −9.35167 8.05194i −0.442319 0.380844i
\(448\) 6.74587 2.45530i 0.318712 0.116002i
\(449\) −15.9353 27.6007i −0.752032 1.30256i −0.946836 0.321716i \(-0.895740\pi\)
0.194804 0.980842i \(-0.437593\pi\)
\(450\) −11.0317 20.2823i −0.520039 0.956118i
\(451\) 21.6913 37.5705i 1.02140 1.76912i
\(452\) 2.02842 11.5037i 0.0954088 0.541090i
\(453\) 1.01898 + 1.81795i 0.0478756 + 0.0854146i
\(454\) −4.66055 1.69630i −0.218730 0.0796113i
\(455\) −1.09994 6.23806i −0.0515659 0.292445i
\(456\) −29.1827 + 23.8611i −1.36660 + 1.11740i
\(457\) 1.00782 + 0.845660i 0.0471438 + 0.0395583i 0.666055 0.745903i \(-0.267982\pi\)
−0.618911 + 0.785461i \(0.712426\pi\)
\(458\) 38.7022 1.80843
\(459\) −7.92978 + 12.5986i −0.370130 + 0.588054i
\(460\) 32.2198 1.50226
\(461\) 2.72790 + 2.28898i 0.127051 + 0.106609i 0.704099 0.710102i \(-0.251351\pi\)
−0.577048 + 0.816710i \(0.695795\pi\)
\(462\) 15.2478 + 5.77047i 0.709391 + 0.268467i
\(463\) 3.33596 + 18.9192i 0.155035 + 0.879248i 0.958754 + 0.284238i \(0.0917407\pi\)
−0.803719 + 0.595010i \(0.797148\pi\)
\(464\) −28.5645 10.3966i −1.32608 0.482652i
\(465\) −1.06963 0.0136098i −0.0496031 0.000631139i
\(466\) −2.75517 + 15.6253i −0.127631 + 0.723830i
\(467\) −0.428466 + 0.742125i −0.0198270 + 0.0343414i −0.875769 0.482731i \(-0.839645\pi\)
0.855942 + 0.517072i \(0.172978\pi\)
\(468\) 52.5085 + 20.6392i 2.42721 + 0.954045i
\(469\) −5.92814 10.2678i −0.273736 0.474125i
\(470\) 14.7401 5.36495i 0.679909 0.247467i
\(471\) 2.82689 14.9195i 0.130256 0.687456i
\(472\) 22.9166 19.2293i 1.05482 0.885102i
\(473\) −18.5992 + 15.6066i −0.855194 + 0.717593i
\(474\) 15.1602 5.30040i 0.696329 0.243456i
\(475\) 12.5628 4.57248i 0.576420 0.209800i
\(476\) −5.82370 10.0869i −0.266929 0.462334i
\(477\) −13.9014 + 4.66268i −0.636501 + 0.213490i
\(478\) −8.01978 + 13.8907i −0.366816 + 0.635344i
\(479\) −3.91199 + 22.1860i −0.178743 + 1.01370i 0.754991 + 0.655736i \(0.227641\pi\)
−0.933734 + 0.357968i \(0.883470\pi\)
\(480\) 0.795372 1.33802i 0.0363036 0.0610718i
\(481\) 26.7482 + 9.73554i 1.21961 + 0.443902i
\(482\) 7.58442 + 43.0134i 0.345461 + 1.95921i
\(483\) 1.61496 + 9.89334i 0.0734832 + 0.450162i
\(484\) 11.2327 + 9.42539i 0.510579 + 0.428427i
\(485\) −12.1636 −0.552318
\(486\) −4.24959 38.1558i −0.192765 1.73078i
\(487\) 17.3832 0.787710 0.393855 0.919173i \(-0.371141\pi\)
0.393855 + 0.919173i \(0.371141\pi\)
\(488\) 37.8649 + 31.7724i 1.71406 + 1.43827i
\(489\) −6.85570 41.9985i −0.310025 1.89924i
\(490\) −0.585622 3.32123i −0.0264557 0.150038i
\(491\) −18.3644 6.68409i −0.828773 0.301649i −0.107418 0.994214i \(-0.534258\pi\)
−0.721355 + 0.692565i \(0.756480\pi\)
\(492\) 40.8433 68.7088i 1.84136 3.09763i
\(493\) 3.43882 19.5025i 0.154876 0.878348i
\(494\) −24.3700 + 42.2100i −1.09646 + 1.89912i
\(495\) −14.8854 + 4.99272i −0.669047 + 0.224406i
\(496\) 0.991701 + 1.71768i 0.0445287 + 0.0771259i
\(497\) −13.6154 + 4.95560i −0.610734 + 0.222289i
\(498\) 36.1037 12.6228i 1.61785 0.565643i
\(499\) 16.0627 13.4782i 0.719064 0.603366i −0.208062 0.978116i \(-0.566716\pi\)
0.927126 + 0.374749i \(0.122271\pi\)
\(500\) −34.6500 + 29.0748i −1.54959 + 1.30026i
\(501\) 0.312958 1.65170i 0.0139819 0.0737927i
\(502\) −45.2547 + 16.4714i −2.01982 + 0.735153i
\(503\) −7.77597 13.4684i −0.346713 0.600525i 0.638950 0.769248i \(-0.279369\pi\)
−0.985664 + 0.168723i \(0.946036\pi\)
\(504\) 14.2035 + 5.58286i 0.632672 + 0.248680i
\(505\) 12.4677 21.5947i 0.554805 0.960950i
\(506\) −9.45963 + 53.6482i −0.420532 + 2.38495i
\(507\) 14.5445 + 0.185061i 0.645945 + 0.00821886i
\(508\) −81.7482 29.7539i −3.62699 1.32012i
\(509\) 0.721162 + 4.08991i 0.0319649 + 0.181282i 0.996610 0.0822701i \(-0.0262170\pi\)
−0.964645 + 0.263552i \(0.915106\pi\)
\(510\) 15.6514 + 5.92321i 0.693054 + 0.262284i
\(511\) 0.336677 + 0.282506i 0.0148937 + 0.0124973i
\(512\) 41.8556 1.84977
\(513\) 22.2141 + 0.848309i 0.980777 + 0.0374538i
\(514\) 5.48955 0.242134
\(515\) 13.0129 + 10.9191i 0.573415 + 0.481152i
\(516\) −34.6318 + 28.3166i −1.52458 + 1.24657i
\(517\) 3.08684 + 17.5063i 0.135759 + 0.769927i
\(518\) 14.2411 + 5.18333i 0.625717 + 0.227742i
\(519\) −14.5775 26.0076i −0.639881 1.14161i
\(520\) 5.59549 31.7336i 0.245378 1.39161i
\(521\) −19.5989 + 33.9464i −0.858645 + 1.48722i 0.0145768 + 0.999894i \(0.495360\pi\)
−0.873222 + 0.487323i \(0.837973\pi\)
\(522\) 24.4025 + 44.8653i 1.06807 + 1.96370i
\(523\) 9.23288 + 15.9918i 0.403726 + 0.699273i 0.994172 0.107803i \(-0.0343817\pi\)
−0.590447 + 0.807077i \(0.701048\pi\)
\(524\) 30.9237 11.2553i 1.35091 0.491690i
\(525\) −4.10161 3.53155i −0.179009 0.154130i
\(526\) −39.7502 + 33.3544i −1.73319 + 1.45432i
\(527\) −0.989833 + 0.830569i −0.0431178 + 0.0361801i
\(528\) 22.0601 + 18.9941i 0.960041 + 0.826611i
\(529\) −9.86246 + 3.58964i −0.428803 + 0.156071i
\(530\) 8.24146 + 14.2746i 0.357986 + 0.620050i
\(531\) −17.6363 0.448874i −0.765351 0.0194795i
\(532\) −8.69666 + 15.0631i −0.377048 + 0.653066i
\(533\) 9.11793 51.7103i 0.394941 2.23982i
\(534\) 5.16774 + 9.21973i 0.223630 + 0.398977i
\(535\) −4.67411 1.70124i −0.202080 0.0735509i
\(536\) −10.4734 59.3977i −0.452383 2.56559i
\(537\) 11.3770 9.30234i 0.490952 0.401425i
\(538\) −6.22122 5.22022i −0.268216 0.225060i
\(539\) 3.82187 0.164620
\(540\) −27.5408 + 8.84932i −1.18517 + 0.380814i
\(541\) 9.65339 0.415031 0.207516 0.978232i \(-0.433462\pi\)
0.207516 + 0.978232i \(0.433462\pi\)
\(542\) −19.5078 16.3690i −0.837931 0.703107i
\(543\) −37.8063 14.3077i −1.62242 0.614001i
\(544\) −0.326494 1.85164i −0.0139983 0.0793885i
\(545\) 3.30161 + 1.20169i 0.141426 + 0.0514747i
\(546\) 19.7309 + 0.251052i 0.844404 + 0.0107440i
\(547\) 0.251399 1.42575i 0.0107490 0.0609609i −0.978961 0.204045i \(-0.934591\pi\)
0.989710 + 0.143085i \(0.0457021\pi\)
\(548\) −12.3590 + 21.4064i −0.527949 + 0.914434i
\(549\) −4.32975 28.8263i −0.184789 1.23028i
\(550\) −14.7068 25.4729i −0.627099 1.08617i
\(551\) −27.7893 + 10.1145i −1.18387 + 0.430892i
\(552\) −9.49331 + 50.1030i −0.404062 + 2.13253i
\(553\) 2.88406 2.42002i 0.122643 0.102910i
\(554\) −48.8650 + 41.0026i −2.07607 + 1.74203i
\(555\) −13.7769 + 4.81678i −0.584797 + 0.204461i
\(556\) −5.87119 + 2.13694i −0.248994 + 0.0906264i
\(557\) 14.9421 + 25.8804i 0.633116 + 1.09659i 0.986911 + 0.161266i \(0.0515577\pi\)
−0.353795 + 0.935323i \(0.615109\pi\)
\(558\) 0.661973 3.26597i 0.0280236 0.138259i
\(559\) −14.6934 + 25.4496i −0.621463 + 1.07641i
\(560\) 1.04567 5.93029i 0.0441876 0.250601i
\(561\) −9.69056 + 16.3020i −0.409136 + 0.688270i
\(562\) −15.3677 5.59338i −0.648246 0.235942i
\(563\) 7.33953 + 41.6245i 0.309324 + 1.75427i 0.602417 + 0.798182i \(0.294204\pi\)
−0.293093 + 0.956084i \(0.594684\pi\)
\(564\) 5.27660 + 32.3248i 0.222185 + 1.36112i
\(565\) 3.01394 + 2.52900i 0.126797 + 0.106396i
\(566\) 22.9210 0.963440
\(567\) −4.09768 8.01305i −0.172086 0.336517i
\(568\) −73.7079 −3.09272
\(569\) −12.4306 10.4305i −0.521116 0.437269i 0.343904 0.939005i \(-0.388250\pi\)
−0.865021 + 0.501736i \(0.832695\pi\)
\(570\) −4.02605 24.6638i −0.168633 1.03305i
\(571\) 5.02078 + 28.4742i 0.210113 + 1.19161i 0.889188 + 0.457541i \(0.151270\pi\)
−0.679075 + 0.734068i \(0.737619\pi\)
\(572\) 67.5410 + 24.5829i 2.82403 + 1.02786i
\(573\) −7.59849 + 12.7826i −0.317432 + 0.534000i
\(574\) 4.85450 27.5313i 0.202623 1.14913i
\(575\) 9.04272 15.6624i 0.377107 0.653169i
\(576\) −16.1403 14.2586i −0.672512 0.594109i
\(577\) −17.0869 29.5954i −0.711337 1.23207i −0.964355 0.264610i \(-0.914757\pi\)
0.253019 0.967461i \(-0.418577\pi\)
\(578\) −20.3481 + 7.40612i −0.846371 + 0.308054i
\(579\) −13.9065 + 4.86208i −0.577933 + 0.202061i
\(580\) 29.4791 24.7359i 1.22405 1.02710i
\(581\) 6.86836 5.76324i 0.284947 0.239099i
\(582\) 7.05405 37.2293i 0.292400 1.54320i
\(583\) −17.5529 + 6.38874i −0.726968 + 0.264595i
\(584\) 1.11789 + 1.93624i 0.0462587 + 0.0801224i
\(585\) −14.8631 + 11.8405i −0.614515 + 0.489544i
\(586\) 5.20904 9.02232i 0.215183 0.372709i
\(587\) −0.0510472 + 0.289503i −0.00210694 + 0.0119491i −0.985843 0.167670i \(-0.946376\pi\)
0.983736 + 0.179620i \(0.0574867\pi\)
\(588\) 7.04116 + 0.0895902i 0.290373 + 0.00369464i
\(589\) 1.81321 + 0.659954i 0.0747119 + 0.0271929i
\(590\) 3.44385 + 19.5310i 0.141781 + 0.804080i
\(591\) 5.99304 + 2.26805i 0.246521 + 0.0932950i
\(592\) 20.7295 + 17.3941i 0.851977 + 0.714893i
\(593\) 24.0123 0.986068 0.493034 0.870010i \(-0.335888\pi\)
0.493034 + 0.870010i \(0.335888\pi\)
\(594\) −6.64883 48.4555i −0.272805 1.98815i
\(595\) 3.92303 0.160829
\(596\) −22.1893 18.6191i −0.908910 0.762666i
\(597\) −1.03964 + 0.850059i −0.0425497 + 0.0347906i
\(598\) 11.4494 + 64.9330i 0.468202 + 2.65531i
\(599\) 17.5532 + 6.38885i 0.717205 + 0.261041i 0.674739 0.738057i \(-0.264256\pi\)
0.0424660 + 0.999098i \(0.486479\pi\)
\(600\) −13.4624 24.0182i −0.549601 0.980540i
\(601\) 6.05423 34.3353i 0.246957 1.40056i −0.568946 0.822375i \(-0.692648\pi\)
0.815903 0.578189i \(-0.196240\pi\)
\(602\) −7.82294 + 13.5497i −0.318839 + 0.552245i
\(603\) −18.5624 + 30.3411i −0.755920 + 1.23558i
\(604\) 2.44588 + 4.23639i 0.0995214 + 0.172376i
\(605\) −4.64099 + 1.68918i −0.188683 + 0.0686750i
\(606\) 58.8649 + 50.6837i 2.39122 + 2.05888i
\(607\) 25.1510 21.1042i 1.02085 0.856594i 0.0311149 0.999516i \(-0.490094\pi\)
0.989734 + 0.142922i \(0.0456498\pi\)
\(608\) −2.15087 + 1.80479i −0.0872291 + 0.0731939i
\(609\) 9.07291 + 7.81192i 0.367653 + 0.316555i
\(610\) −30.7925 + 11.2076i −1.24675 + 0.453781i
\(611\) 10.7578 + 18.6330i 0.435214 + 0.753812i
\(612\) −18.2354 + 29.8065i −0.737121 + 1.20486i
\(613\) 14.9476 25.8900i 0.603728 1.04569i −0.388523 0.921439i \(-0.627015\pi\)
0.992251 0.124248i \(-0.0396519\pi\)
\(614\) −3.19722 + 18.1323i −0.129029 + 0.731761i
\(615\) 13.1634 + 23.4848i 0.530801 + 0.946998i
\(616\) 18.2697 + 6.64963i 0.736108 + 0.267921i
\(617\) 3.70866 + 21.0329i 0.149305 + 0.846752i 0.963809 + 0.266594i \(0.0858982\pi\)
−0.814504 + 0.580158i \(0.802991\pi\)
\(618\) −40.9669 + 33.4965i −1.64793 + 1.34743i
\(619\) −13.6531 11.4563i −0.548764 0.460468i 0.325758 0.945453i \(-0.394380\pi\)
−0.874522 + 0.484985i \(0.838825\pi\)
\(620\) −2.51090 −0.100840
\(621\) 23.7580 18.4373i 0.953376 0.739862i
\(622\) 0.0562338 0.00225477
\(623\) 1.89803 + 1.59263i 0.0760429 + 0.0638076i
\(624\) 32.9529 + 12.4709i 1.31917 + 0.499237i
\(625\) 0.0676400 + 0.383605i 0.00270560 + 0.0153442i
\(626\) −26.8128 9.75908i −1.07166 0.390051i
\(627\) 28.3182 + 0.360315i 1.13092 + 0.0143896i
\(628\) 6.18932 35.1014i 0.246981 1.40070i
\(629\) −8.81459 + 15.2673i −0.351461 + 0.608747i
\(630\) −7.91332 + 6.30403i −0.315274 + 0.251158i
\(631\) 11.4052 + 19.7544i 0.454034 + 0.786410i 0.998632 0.0522872i \(-0.0166511\pi\)
−0.544598 + 0.838697i \(0.683318\pi\)
\(632\) 17.9973 6.55047i 0.715892 0.260564i
\(633\) −7.53121 + 39.7476i −0.299339 + 1.57983i
\(634\) 41.1954 34.5670i 1.63608 1.37283i
\(635\) 22.4460 18.8345i 0.890743 0.747422i
\(636\) −32.4881 + 11.3587i −1.28824 + 0.450402i
\(637\) 4.34682 1.58211i 0.172227 0.0626857i
\(638\) 32.5320 + 56.3470i 1.28795 + 2.23080i
\(639\) 32.5765 + 28.7786i 1.28870 + 1.13846i
\(640\) −13.0038 + 22.5232i −0.514020 + 0.890310i
\(641\) −0.628602 + 3.56498i −0.0248283 + 0.140808i −0.994702 0.102800i \(-0.967220\pi\)
0.969874 + 0.243608i \(0.0783310\pi\)
\(642\) 7.91770 13.3196i 0.312487 0.525682i
\(643\) −4.68571 1.70546i −0.184786 0.0672567i 0.247970 0.968768i \(-0.420237\pi\)
−0.432756 + 0.901511i \(0.642459\pi\)
\(644\) 4.08584 + 23.1720i 0.161005 + 0.913103i
\(645\) −2.42742 14.8706i −0.0955797 0.585527i
\(646\) −23.1240 19.4033i −0.909800 0.763413i
\(647\) −9.33320 −0.366926 −0.183463 0.983027i \(-0.558731\pi\)
−0.183463 + 0.983027i \(0.558731\pi\)
\(648\) −5.64633 45.4343i −0.221809 1.78483i
\(649\) −22.4752 −0.882229
\(650\) −27.2717 22.8836i −1.06968 0.897570i
\(651\) −0.125854 0.770989i −0.00493260 0.0302174i
\(652\) −17.3449 98.3679i −0.679279 3.85238i
\(653\) 19.5400 + 7.11198i 0.764659 + 0.278313i 0.694761 0.719241i \(-0.255510\pi\)
0.0698983 + 0.997554i \(0.477733\pi\)
\(654\) −5.59275 + 9.40843i −0.218694 + 0.367899i
\(655\) −1.92472 + 10.9157i −0.0752052 + 0.426510i
\(656\) 24.9587 43.2298i 0.974474 1.68784i
\(657\) 0.261919 1.29223i 0.0102184 0.0504145i
\(658\) 5.72759 + 9.92048i 0.223285 + 0.386740i
\(659\) −16.6300 + 6.05282i −0.647812 + 0.235784i −0.644966 0.764211i \(-0.723128\pi\)
−0.00284675 + 0.999996i \(0.500906\pi\)
\(660\) −34.7877 + 12.1627i −1.35411 + 0.473433i
\(661\) 9.97739 8.37202i 0.388075 0.325634i −0.427787 0.903879i \(-0.640707\pi\)
0.815863 + 0.578245i \(0.196262\pi\)
\(662\) 7.84579 6.58340i 0.304935 0.255871i
\(663\) −4.27318 + 22.5526i −0.165957 + 0.875872i
\(664\) 42.8602 15.5998i 1.66330 0.605391i
\(665\) −2.92918 5.07348i −0.113589 0.196741i
\(666\) −6.75316 44.9608i −0.261680 1.74219i
\(667\) −20.0028 + 34.6459i −0.774513 + 1.34150i
\(668\) 0.685204 3.88598i 0.0265113 0.150353i
\(669\) −26.2483 0.333977i −1.01482 0.0129123i
\(670\) 37.5735 + 13.6756i 1.45159 + 0.528335i
\(671\) −6.44851 36.5713i −0.248942 1.41182i
\(672\) 1.06314 + 0.402342i 0.0410116 + 0.0155207i
\(673\) 6.58339 + 5.52412i 0.253771 + 0.212939i 0.760794 0.648993i \(-0.224810\pi\)
−0.507023 + 0.861932i \(0.669254\pi\)
\(674\) 56.0582 2.15928
\(675\) −3.42776 + 15.8715i −0.131935 + 0.610896i
\(676\) 34.1423 1.31317
\(677\) −5.45644 4.57849i −0.209708 0.175966i 0.531884 0.846817i \(-0.321484\pi\)
−0.741592 + 0.670852i \(0.765929\pi\)
\(678\) −9.48845 + 7.75819i −0.364402 + 0.297952i
\(679\) −1.54248 8.74782i −0.0591948 0.335711i
\(680\) 18.7533 + 6.82564i 0.719156 + 0.261751i
\(681\) 1.70543 + 3.04264i 0.0653521 + 0.116594i
\(682\) 0.737190 4.18081i 0.0282285 0.160092i
\(683\) 4.77541 8.27126i 0.182726 0.316491i −0.760082 0.649827i \(-0.774841\pi\)
0.942808 + 0.333336i \(0.108174\pi\)
\(684\) 52.1631 + 1.32764i 1.99450 + 0.0507635i
\(685\) −4.16270 7.21001i −0.159049 0.275480i
\(686\) 2.31431 0.842338i 0.0883606 0.0321606i
\(687\) −20.6261 17.7594i −0.786937 0.677565i
\(688\) −21.4009 + 17.9575i −0.815901 + 0.684622i
\(689\) −17.3192 + 14.5325i −0.659808 + 0.553645i
\(690\) −25.6187 22.0581i −0.975288 0.839738i
\(691\) −0.576176 + 0.209711i −0.0219188 + 0.00797778i −0.352956 0.935640i \(-0.614824\pi\)
0.331037 + 0.943618i \(0.392601\pi\)
\(692\) −34.9909 60.6059i −1.33015 2.30389i
\(693\) −5.47831 10.0722i −0.208104 0.382610i
\(694\) 18.9650 32.8483i 0.719900 1.24690i
\(695\) 0.365430 2.07245i 0.0138615 0.0786127i
\(696\) 29.7794 + 53.1292i 1.12878 + 2.01386i
\(697\) 30.5587 + 11.1225i 1.15749 + 0.421294i
\(698\) −5.15924 29.2595i −0.195280 1.10749i
\(699\) 8.63842 7.06318i 0.326735 0.267154i
\(700\) −9.73216 8.16625i −0.367841 0.308655i
\(701\) 15.3451 0.579578 0.289789 0.957091i \(-0.406415\pi\)
0.289789 + 0.957091i \(0.406415\pi\)
\(702\) −27.6208 52.3586i −1.04248 1.97615i
\(703\) 26.3260 0.992906
\(704\) −21.0176 17.6358i −0.792129 0.664676i
\(705\) −10.3175 3.90462i −0.388579 0.147057i
\(706\) 6.93150 + 39.3105i 0.260871 + 1.47947i
\(707\) 17.1116 + 6.22810i 0.643547 + 0.234232i
\(708\) −41.4068 0.526851i −1.55616 0.0198003i
\(709\) 7.56421 42.8987i 0.284080 1.61110i −0.424475 0.905440i \(-0.639541\pi\)
0.708554 0.705656i \(-0.249348\pi\)
\(710\) 24.4321 42.3177i 0.916922 1.58816i
\(711\) −10.5118 4.13178i −0.394222 0.154954i
\(712\) 6.30214 + 10.9156i 0.236183 + 0.409081i
\(713\) 2.45288 0.892776i 0.0918611 0.0334347i
\(714\) −2.27510 + 12.0073i −0.0851434 + 0.449363i
\(715\) −18.5451 + 15.5612i −0.693546 + 0.581955i
\(716\) 26.4246 22.1728i 0.987532 0.828638i
\(717\) 10.6482 3.72289i 0.397664 0.139034i
\(718\) 14.7154 5.35596i 0.549173 0.199883i
\(719\) 3.30457 + 5.72368i 0.123240 + 0.213457i 0.921043 0.389460i \(-0.127338\pi\)
−0.797804 + 0.602917i \(0.794005\pi\)
\(720\) −17.1276 + 5.74478i −0.638307 + 0.214095i
\(721\) −6.20264 + 10.7433i −0.230999 + 0.400101i
\(722\) 0.297994 1.69001i 0.0110902 0.0628956i
\(723\) 15.6957 26.4041i 0.583728 0.981979i
\(724\) −89.1607 32.4518i −3.31363 1.20606i
\(725\) −3.75090 21.2724i −0.139305 0.790037i
\(726\) −2.47866 15.1844i −0.0919916 0.563546i
\(727\) 17.3521 + 14.5602i 0.643555 + 0.540006i 0.905108 0.425183i \(-0.139790\pi\)
−0.261553 + 0.965189i \(0.584235\pi\)
\(728\) 23.5318 0.872148
\(729\) −15.2440 + 22.2850i −0.564591 + 0.825371i
\(730\) −1.48220 −0.0548587
\(731\) −13.9421 11.6988i −0.515668 0.432697i
\(732\) −11.0230 67.5277i −0.407422 2.49589i
\(733\) −7.31406 41.4801i −0.270151 1.53210i −0.753956 0.656925i \(-0.771857\pi\)
0.483805 0.875176i \(-0.339254\pi\)
\(734\) −33.0596 12.0327i −1.22025 0.444135i
\(735\) −1.21192 + 2.03876i −0.0447024 + 0.0752008i
\(736\) −0.659567 + 3.74059i −0.0243119 + 0.137880i
\(737\) −22.6566 + 39.2424i −0.834567 + 1.44551i
\(738\) −79.5144 + 26.6700i −2.92697 + 0.981738i
\(739\) −4.85846 8.41509i −0.178721 0.309554i 0.762722 0.646727i \(-0.223863\pi\)
−0.941443 + 0.337173i \(0.890529\pi\)
\(740\) −32.1913 + 11.7167i −1.18338 + 0.430714i
\(741\) 32.3570 11.3129i 1.18866 0.415589i
\(742\) −9.22096 + 7.73730i −0.338512 + 0.284045i
\(743\) −23.0774 + 19.3642i −0.846627 + 0.710405i −0.959044 0.283256i \(-0.908585\pi\)
0.112417 + 0.993661i \(0.464141\pi\)
\(744\) 0.739815 3.90453i 0.0271229 0.143147i
\(745\) 9.16789 3.33684i 0.335885 0.122252i
\(746\) −20.3195 35.1944i −0.743949 1.28856i
\(747\) −25.0336 9.83979i −0.915932 0.360019i
\(748\) −22.2574 + 38.5510i −0.813812 + 1.40956i
\(749\) 0.630771 3.57728i 0.0230479 0.130711i
\(750\) 47.4559 + 0.603819i 1.73285 + 0.0220484i
\(751\) 43.2704 + 15.7491i 1.57896 + 0.574695i 0.974978 0.222303i \(-0.0713574\pi\)
0.603983 + 0.796997i \(0.293580\pi\)
\(752\) 3.55181 + 20.1433i 0.129521 + 0.734551i
\(753\) 31.6766 + 11.9879i 1.15436 + 0.436863i
\(754\) 60.3259 + 50.6194i 2.19694 + 1.84345i
\(755\) −1.64762 −0.0599632
\(756\) −9.85677 18.6847i −0.358487 0.679556i
\(757\) 1.71039 0.0621652 0.0310826 0.999517i \(-0.490105\pi\)
0.0310826 + 0.999517i \(0.490105\pi\)
\(758\) −69.6290 58.4257i −2.52904 2.12212i
\(759\) 29.6593 24.2508i 1.07656 0.880248i
\(760\) −5.17506 29.3492i −0.187719 1.06461i
\(761\) 16.1527 + 5.87910i 0.585535 + 0.213117i 0.617764 0.786363i \(-0.288039\pi\)
−0.0322297 + 0.999480i \(0.510261\pi\)
\(762\) 44.6299 + 79.6239i 1.61677 + 2.88447i
\(763\) −0.445552 + 2.52685i −0.0161301 + 0.0914781i
\(764\) −17.4523 + 30.2283i −0.631403 + 1.09362i
\(765\) −5.62331 10.3388i −0.203311 0.373799i
\(766\) 9.10236 + 15.7658i 0.328882 + 0.569640i
\(767\) −25.5623 + 9.30390i −0.923000 + 0.335944i
\(768\) −42.5510 36.6371i −1