Properties

Label 189.2.u.a.4.5
Level $189$
Weight $2$
Character 189.4
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(4,189)]
 
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([2, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.u (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: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.5
Character \(\chi\) \(=\) 189.4
Dual form 189.2.u.a.142.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.310937 - 1.76341i) q^{2} +(0.625951 + 1.61499i) q^{3} +(-1.13356 + 0.412582i) q^{4} +(-0.00172074 + 0.000626297i) q^{5} +(2.65326 - 1.60597i) q^{6} +(2.59651 + 0.508047i) q^{7} +(-0.710598 - 1.23079i) q^{8} +(-2.21637 + 2.02181i) q^{9} +O(q^{10})\) \(q+(-0.310937 - 1.76341i) q^{2} +(0.625951 + 1.61499i) q^{3} +(-1.13356 + 0.412582i) q^{4} +(-0.00172074 + 0.000626297i) q^{5} +(2.65326 - 1.60597i) q^{6} +(2.59651 + 0.508047i) q^{7} +(-0.710598 - 1.23079i) q^{8} +(-2.21637 + 2.02181i) q^{9} +(0.00163946 + 0.00283963i) q^{10} +(2.74403 + 0.998747i) q^{11} +(-1.37587 - 1.57243i) q^{12} +(4.96182 - 1.80596i) q^{13} +(0.0885434 - 4.73670i) q^{14} +(-0.00208856 - 0.00238694i) q^{15} +(-3.79762 + 3.18658i) q^{16} +(-2.87705 - 4.98319i) q^{17} +(4.25443 + 3.27972i) q^{18} +(-0.0567992 + 0.0983790i) q^{19} +(0.00169216 - 0.00141989i) q^{20} +(0.804801 + 4.51135i) q^{21} +(0.907981 - 5.14941i) q^{22} +(-0.681306 + 3.86388i) q^{23} +(1.54291 - 1.91802i) q^{24} +(-3.83022 + 3.21394i) q^{25} +(-4.72746 - 8.18821i) q^{26} +(-4.65253 - 2.31386i) q^{27} +(-3.15292 + 0.495374i) q^{28} +(-5.71816 - 2.08124i) q^{29} +(-0.00355975 + 0.00442518i) q^{30} +(-3.79806 + 1.38238i) q^{31} +(4.62268 + 3.87889i) q^{32} +(0.104666 + 5.05675i) q^{33} +(-7.89285 + 6.62288i) q^{34} +(-0.00478610 + 0.000751974i) q^{35} +(1.67823 - 3.20627i) q^{36} -3.24950 q^{37} +(0.191144 + 0.0695707i) q^{38} +(6.02245 + 6.88285i) q^{39} +(0.00199359 + 0.00167282i) q^{40} +(7.51748 - 2.73614i) q^{41} +(7.70514 - 2.82194i) q^{42} +(0.0535565 + 0.303734i) q^{43} -3.52259 q^{44} +(0.00254754 - 0.00486710i) q^{45} +7.02546 q^{46} +(3.61594 + 1.31609i) q^{47} +(-7.52341 - 4.13846i) q^{48} +(6.48378 + 2.63830i) q^{49} +(6.85846 + 5.75493i) q^{50} +(6.24690 - 7.76563i) q^{51} +(-4.87942 + 4.09432i) q^{52} +(-7.14507 + 12.3756i) q^{53} +(-2.63365 + 8.92380i) q^{54} -0.00534727 q^{55} +(-1.21978 - 3.55679i) q^{56} +(-0.194434 - 0.0301495i) q^{57} +(-1.89210 + 10.7306i) q^{58} +(-6.17081 - 5.17793i) q^{59} +(0.00335231 + 0.00184403i) q^{60} +(-7.38012 - 2.68614i) q^{61} +(3.61867 + 6.26772i) q^{62} +(-6.78201 + 4.12363i) q^{63} +(0.445282 - 0.771251i) q^{64} +(-0.00740692 + 0.00621515i) q^{65} +(8.88459 - 1.75690i) q^{66} +(1.62756 - 9.23035i) q^{67} +(5.31728 + 4.46173i) q^{68} +(-6.66658 + 1.31830i) q^{69} +(0.00281422 + 0.00820606i) q^{70} +(-1.75785 + 3.04468i) q^{71} +(4.06337 + 1.29120i) q^{72} -3.09334 q^{73} +(1.01039 + 5.73022i) q^{74} +(-7.58800 - 4.17399i) q^{75} +(0.0237958 - 0.134953i) q^{76} +(6.61751 + 3.98736i) q^{77} +(10.2647 - 12.7602i) q^{78} +(-2.20314 - 12.4946i) q^{79} +(0.00453895 - 0.00786170i) q^{80} +(0.824604 - 8.96214i) q^{81} +(-7.16241 - 12.4057i) q^{82} +(3.21166 + 1.16895i) q^{83} +(-2.77359 - 4.78184i) q^{84} +(0.00807160 + 0.00677287i) q^{85} +(0.518956 - 0.188884i) q^{86} +(-0.218109 - 10.5375i) q^{87} +(-0.720656 - 4.08704i) q^{88} +(-3.32414 + 5.75758i) q^{89} +(-0.00937484 - 0.00297900i) q^{90} +(13.8010 - 2.16835i) q^{91} +(-0.821865 - 4.66103i) q^{92} +(-4.60993 - 5.26852i) q^{93} +(1.19649 - 6.78562i) q^{94} +(3.61219e-5 - 0.000204857i) q^{95} +(-3.37079 + 9.89356i) q^{96} +(1.79903 + 10.2028i) q^{97} +(2.63637 - 12.2539i) q^{98} +(-8.10107 + 3.33431i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} - 15 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} - 15 q^{9} + 3 q^{10} - 15 q^{11} - 3 q^{12} - 12 q^{13} - 30 q^{14} + 9 q^{16} + 27 q^{17} - 3 q^{18} + 3 q^{19} - 18 q^{20} + 15 q^{21} - 12 q^{22} - 36 q^{23} - 72 q^{24} - 3 q^{25} + 30 q^{26} - 12 q^{27} - 12 q^{28} - 30 q^{29} - 3 q^{30} - 3 q^{31} - 75 q^{32} + 15 q^{33} - 18 q^{34} + 15 q^{35} - 60 q^{36} - 6 q^{37} + 69 q^{38} + 51 q^{39} + 51 q^{40} - 39 q^{42} - 12 q^{43} - 6 q^{44} - 21 q^{45} - 6 q^{46} - 21 q^{47} + 90 q^{48} - 42 q^{49} - 39 q^{50} + 33 q^{51} + 9 q^{52} + 9 q^{53} - 9 q^{54} - 24 q^{55} + 111 q^{56} - 18 q^{57} - 3 q^{58} + 27 q^{59} - 63 q^{60} - 21 q^{61} + 75 q^{62} + 63 q^{63} - 30 q^{64} - 90 q^{65} - 3 q^{66} - 3 q^{67} - 30 q^{68} - 6 q^{69} + 39 q^{70} - 18 q^{71} + 183 q^{72} - 42 q^{73} + 51 q^{74} - 45 q^{75} - 24 q^{76} + 15 q^{77} - 30 q^{78} + 15 q^{79} + 102 q^{80} - 87 q^{81} - 6 q^{82} - 42 q^{83} + 135 q^{84} - 63 q^{85} - 93 q^{86} + 75 q^{87} - 51 q^{88} + 75 q^{89} - 39 q^{90} - 21 q^{91} - 66 q^{92} + 81 q^{93} + 33 q^{94} + 15 q^{95} - 171 q^{96} - 12 q^{97} - 36 q^{98} + 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.310937 1.76341i −0.219866 1.24692i −0.872260 0.489042i \(-0.837346\pi\)
0.652394 0.757880i \(-0.273765\pi\)
\(3\) 0.625951 + 1.61499i 0.361393 + 0.932414i
\(4\) −1.13356 + 0.412582i −0.566780 + 0.206291i
\(5\) −0.00172074 0.000626297i −0.000769537 0.000280088i −0.342405 0.939552i \(-0.611241\pi\)
0.341635 + 0.939833i \(0.389019\pi\)
\(6\) 2.65326 1.60597i 1.08319 0.655635i
\(7\) 2.59651 + 0.508047i 0.981390 + 0.192024i
\(8\) −0.710598 1.23079i −0.251234 0.435151i
\(9\) −2.21637 + 2.02181i −0.738790 + 0.673935i
\(10\) 0.00163946 + 0.00283963i 0.000518443 + 0.000897970i
\(11\) 2.74403 + 0.998747i 0.827357 + 0.301133i 0.720774 0.693170i \(-0.243787\pi\)
0.106584 + 0.994304i \(0.466009\pi\)
\(12\) −1.37587 1.57243i −0.397179 0.453921i
\(13\) 4.96182 1.80596i 1.37616 0.500882i 0.455150 0.890415i \(-0.349586\pi\)
0.921013 + 0.389533i \(0.127364\pi\)
\(14\) 0.0885434 4.73670i 0.0236642 1.26594i
\(15\) −0.00208856 0.00238694i −0.000539263 0.000616304i
\(16\) −3.79762 + 3.18658i −0.949404 + 0.796645i
\(17\) −2.87705 4.98319i −0.697786 1.20860i −0.969232 0.246148i \(-0.920835\pi\)
0.271446 0.962454i \(-0.412498\pi\)
\(18\) 4.25443 + 3.27972i 1.00278 + 0.773038i
\(19\) −0.0567992 + 0.0983790i −0.0130306 + 0.0225697i −0.872467 0.488673i \(-0.837481\pi\)
0.859437 + 0.511242i \(0.170815\pi\)
\(20\) 0.00169216 0.00141989i 0.000378378 0.000317497i
\(21\) 0.804801 + 4.51135i 0.175622 + 0.984458i
\(22\) 0.907981 5.14941i 0.193582 1.09786i
\(23\) −0.681306 + 3.86388i −0.142062 + 0.805674i 0.827617 + 0.561293i \(0.189696\pi\)
−0.969679 + 0.244381i \(0.921415\pi\)
\(24\) 1.54291 1.91802i 0.314946 0.391515i
\(25\) −3.83022 + 3.21394i −0.766044 + 0.642787i
\(26\) −4.72746 8.18821i −0.927132 1.60584i
\(27\) −4.65253 2.31386i −0.895380 0.445303i
\(28\) −3.15292 + 0.495374i −0.595845 + 0.0936168i
\(29\) −5.71816 2.08124i −1.06184 0.386477i −0.248718 0.968576i \(-0.580009\pi\)
−0.813118 + 0.582099i \(0.802232\pi\)
\(30\) −0.00355975 + 0.00442518i −0.000649918 + 0.000807923i
\(31\) −3.79806 + 1.38238i −0.682152 + 0.248283i −0.659771 0.751466i \(-0.729347\pi\)
−0.0223808 + 0.999750i \(0.507125\pi\)
\(32\) 4.62268 + 3.87889i 0.817182 + 0.685697i
\(33\) 0.104666 + 5.05675i 0.0182201 + 0.880267i
\(34\) −7.89285 + 6.62288i −1.35361 + 1.13582i
\(35\) −0.00478610 0.000751974i −0.000808999 0.000127107i
\(36\) 1.67823 3.20627i 0.279705 0.534379i
\(37\) −3.24950 −0.534215 −0.267108 0.963667i \(-0.586068\pi\)
−0.267108 + 0.963667i \(0.586068\pi\)
\(38\) 0.191144 + 0.0695707i 0.0310076 + 0.0112859i
\(39\) 6.02245 + 6.88285i 0.964365 + 1.10214i
\(40\) 0.00199359 + 0.00167282i 0.000315215 + 0.000264497i
\(41\) 7.51748 2.73614i 1.17403 0.427313i 0.319943 0.947437i \(-0.396336\pi\)
0.854091 + 0.520124i \(0.174114\pi\)
\(42\) 7.70514 2.82194i 1.18893 0.435435i
\(43\) 0.0535565 + 0.303734i 0.00816729 + 0.0463190i 0.988619 0.150441i \(-0.0480692\pi\)
−0.980452 + 0.196760i \(0.936958\pi\)
\(44\) −3.52259 −0.531051
\(45\) 0.00254754 0.00486710i 0.000379765 0.000725544i
\(46\) 7.02546 1.03585
\(47\) 3.61594 + 1.31609i 0.527439 + 0.191972i 0.591994 0.805942i \(-0.298341\pi\)
−0.0645555 + 0.997914i \(0.520563\pi\)
\(48\) −7.52341 4.13846i −1.08591 0.597336i
\(49\) 6.48378 + 2.63830i 0.926254 + 0.376900i
\(50\) 6.85846 + 5.75493i 0.969932 + 0.813870i
\(51\) 6.24690 7.76563i 0.874742 1.08741i
\(52\) −4.87942 + 4.09432i −0.676654 + 0.567780i
\(53\) −7.14507 + 12.3756i −0.981451 + 1.69992i −0.324699 + 0.945817i \(0.605263\pi\)
−0.656752 + 0.754106i \(0.728070\pi\)
\(54\) −2.63365 + 8.92380i −0.358394 + 1.21438i
\(55\) −0.00534727 −0.000721026
\(56\) −1.21978 3.55679i −0.163000 0.475296i
\(57\) −0.194434 0.0301495i −0.0257535 0.00399340i
\(58\) −1.89210 + 10.7306i −0.248445 + 1.40900i
\(59\) −6.17081 5.17793i −0.803371 0.674109i 0.145645 0.989337i \(-0.453474\pi\)
−0.949016 + 0.315228i \(0.897919\pi\)
\(60\) 0.00335231 + 0.00184403i 0.000432782 + 0.000238064i
\(61\) −7.38012 2.68614i −0.944928 0.343926i −0.176818 0.984244i \(-0.556580\pi\)
−0.768110 + 0.640318i \(0.778803\pi\)
\(62\) 3.61867 + 6.26772i 0.459572 + 0.796001i
\(63\) −6.78201 + 4.12363i −0.854453 + 0.519528i
\(64\) 0.445282 0.771251i 0.0556603 0.0964064i
\(65\) −0.00740692 + 0.00621515i −0.000918716 + 0.000770894i
\(66\) 8.88459 1.75690i 1.09362 0.216260i
\(67\) 1.62756 9.23035i 0.198838 1.12767i −0.708008 0.706204i \(-0.750406\pi\)
0.906846 0.421462i \(-0.138483\pi\)
\(68\) 5.31728 + 4.46173i 0.644815 + 0.541064i
\(69\) −6.66658 + 1.31830i −0.802562 + 0.158704i
\(70\) 0.00281422 + 0.00820606i 0.000336364 + 0.000980812i
\(71\) −1.75785 + 3.04468i −0.208618 + 0.361337i −0.951279 0.308330i \(-0.900230\pi\)
0.742662 + 0.669667i \(0.233563\pi\)
\(72\) 4.06337 + 1.29120i 0.478873 + 0.152169i
\(73\) −3.09334 −0.362049 −0.181024 0.983479i \(-0.557941\pi\)
−0.181024 + 0.983479i \(0.557941\pi\)
\(74\) 1.01039 + 5.73022i 0.117456 + 0.666124i
\(75\) −7.58800 4.17399i −0.876186 0.481971i
\(76\) 0.0237958 0.134953i 0.00272957 0.0154801i
\(77\) 6.61751 + 3.98736i 0.754136 + 0.454402i
\(78\) 10.2647 12.7602i 1.16225 1.44481i
\(79\) −2.20314 12.4946i −0.247872 1.40575i −0.813727 0.581248i \(-0.802565\pi\)
0.565855 0.824505i \(-0.308546\pi\)
\(80\) 0.00453895 0.00786170i 0.000507470 0.000878964i
\(81\) 0.824604 8.96214i 0.0916226 0.995794i
\(82\) −7.16241 12.4057i −0.790956 1.36998i
\(83\) 3.21166 + 1.16895i 0.352526 + 0.128309i 0.512212 0.858859i \(-0.328826\pi\)
−0.159686 + 0.987168i \(0.551048\pi\)
\(84\) −2.77359 4.78184i −0.302624 0.521742i
\(85\) 0.00807160 + 0.00677287i 0.000875487 + 0.000734621i
\(86\) 0.518956 0.188884i 0.0559604 0.0203679i
\(87\) −0.218109 10.5375i −0.0233838 1.12974i
\(88\) −0.720656 4.08704i −0.0768222 0.435680i
\(89\) −3.32414 + 5.75758i −0.352358 + 0.610302i −0.986662 0.162781i \(-0.947953\pi\)
0.634304 + 0.773084i \(0.281287\pi\)
\(90\) −0.00937484 0.00297900i −0.000988194 0.000314014i
\(91\) 13.8010 2.16835i 1.44673 0.227305i
\(92\) −0.821865 4.66103i −0.0856854 0.485946i
\(93\) −4.60993 5.26852i −0.478027 0.546320i
\(94\) 1.19649 6.78562i 0.123408 0.699883i
\(95\) 3.61219e−5 0 0.000204857i 3.70603e−6 0 2.10179e-5i
\(96\) −3.37079 + 9.89356i −0.344030 + 1.00976i
\(97\) 1.79903 + 10.2028i 0.182664 + 1.03594i 0.928920 + 0.370280i \(0.120738\pi\)
−0.746256 + 0.665659i \(0.768151\pi\)
\(98\) 2.63637 12.2539i 0.266314 1.23783i
\(99\) −8.10107 + 3.33431i −0.814188 + 0.335111i
\(100\) 3.01577 5.22347i 0.301577 0.522347i
\(101\) −0.438889 2.48906i −0.0436711 0.247671i 0.955155 0.296105i \(-0.0956880\pi\)
−0.998826 + 0.0484343i \(0.984577\pi\)
\(102\) −15.6364 8.60125i −1.54824 0.851651i
\(103\) 17.1586 6.24521i 1.69069 0.615359i 0.695974 0.718067i \(-0.254973\pi\)
0.994712 + 0.102708i \(0.0327509\pi\)
\(104\) −5.74862 4.82366i −0.563699 0.472999i
\(105\) −0.00421029 0.00725880i −0.000410883 0.000708387i
\(106\) 24.0450 + 8.75167i 2.33546 + 0.850038i
\(107\) −0.926313 1.60442i −0.0895501 0.155105i 0.817771 0.575544i \(-0.195210\pi\)
−0.907321 + 0.420438i \(0.861876\pi\)
\(108\) 6.22858 + 0.703350i 0.599345 + 0.0676799i
\(109\) 3.47014 6.01046i 0.332379 0.575698i −0.650599 0.759422i \(-0.725482\pi\)
0.982978 + 0.183724i \(0.0588153\pi\)
\(110\) 0.00166267 + 0.00942945i 0.000158529 + 0.000899063i
\(111\) −2.03403 5.24791i −0.193061 0.498109i
\(112\) −11.4795 + 6.34463i −1.08471 + 0.599511i
\(113\) −0.915044 + 5.18947i −0.0860801 + 0.488184i 0.911038 + 0.412322i \(0.135282\pi\)
−0.997118 + 0.0758624i \(0.975829\pi\)
\(114\) 0.00729085 + 0.352243i 0.000682851 + 0.0329906i
\(115\) −0.00124759 0.00707541i −0.000116338 0.000659785i
\(116\) 7.34056 0.681554
\(117\) −7.34595 + 14.0345i −0.679133 + 1.29749i
\(118\) −7.21209 + 12.4917i −0.663927 + 1.14995i
\(119\) −4.93860 14.4006i −0.452721 1.32010i
\(120\) −0.00145370 + 0.00426673i −0.000132704 + 0.000389498i
\(121\) −1.89426 1.58947i −0.172206 0.144498i
\(122\) −2.44203 + 13.8494i −0.221091 + 1.25387i
\(123\) 9.12441 + 10.4280i 0.822720 + 0.940257i
\(124\) 3.73498 3.13402i 0.335412 0.281444i
\(125\) 0.00915584 0.0158584i 0.000818923 0.00141842i
\(126\) 9.38044 + 10.6773i 0.835676 + 0.951210i
\(127\) −6.51690 11.2876i −0.578281 1.00161i −0.995677 0.0928873i \(-0.970390\pi\)
0.417396 0.908725i \(-0.362943\pi\)
\(128\) 9.84262 + 3.58242i 0.869973 + 0.316644i
\(129\) −0.457003 + 0.276616i −0.0402369 + 0.0243546i
\(130\) 0.0132630 + 0.0111289i 0.00116324 + 0.000976073i
\(131\) 0.927769 5.26164i 0.0810595 0.459711i −0.917078 0.398708i \(-0.869459\pi\)
0.998138 0.0610036i \(-0.0194301\pi\)
\(132\) −2.20497 5.68894i −0.191918 0.495159i
\(133\) −0.197461 + 0.226586i −0.0171220 + 0.0196475i
\(134\) −16.7830 −1.44983
\(135\) 0.00945494 + 0.00106768i 0.000813752 + 9.18913e-5i
\(136\) −4.08885 + 7.08209i −0.350616 + 0.607285i
\(137\) 5.66784 4.75589i 0.484237 0.406323i −0.367719 0.929937i \(-0.619861\pi\)
0.851955 + 0.523614i \(0.175417\pi\)
\(138\) 4.39759 + 11.3460i 0.374348 + 0.965838i
\(139\) 8.27992 + 6.94767i 0.702293 + 0.589294i 0.922425 0.386176i \(-0.126204\pi\)
−0.220132 + 0.975470i \(0.570649\pi\)
\(140\) 0.00511508 0.00282707i 0.000432304 0.000238931i
\(141\) 0.137924 + 6.66351i 0.0116153 + 0.561169i
\(142\) 5.91560 + 2.15310i 0.496426 + 0.180684i
\(143\) 15.4191 1.28941
\(144\) 1.97429 14.7407i 0.164524 1.22839i
\(145\) 0.0111429 0.000925369
\(146\) 0.961836 + 5.45485i 0.0796021 + 0.451446i
\(147\) −0.202302 + 12.1227i −0.0166856 + 0.999861i
\(148\) 3.68351 1.34069i 0.302782 0.110204i
\(149\) 5.37813 + 4.51279i 0.440594 + 0.369702i 0.835932 0.548834i \(-0.184928\pi\)
−0.395338 + 0.918536i \(0.629372\pi\)
\(150\) −5.00108 + 14.6786i −0.408337 + 1.19850i
\(151\) −11.0412 4.01867i −0.898521 0.327035i −0.148861 0.988858i \(-0.547561\pi\)
−0.749660 + 0.661823i \(0.769783\pi\)
\(152\) 0.161446 0.0130950
\(153\) 16.4517 + 5.22777i 1.33004 + 0.422640i
\(154\) 4.97373 12.9092i 0.400795 1.04026i
\(155\) 0.00566968 0.00475743i 0.000455400 0.000382126i
\(156\) −9.66655 5.31736i −0.773943 0.425730i
\(157\) 16.7010 + 14.0138i 1.33289 + 1.11843i 0.983393 + 0.181486i \(0.0580908\pi\)
0.349494 + 0.936939i \(0.386354\pi\)
\(158\) −21.3481 + 7.77008i −1.69836 + 0.618154i
\(159\) −24.4590 3.79267i −1.93972 0.300778i
\(160\) −0.0103837 0.00377937i −0.000820907 0.000298786i
\(161\) −3.73205 + 9.68648i −0.294127 + 0.763401i
\(162\) −16.0604 + 1.33255i −1.26182 + 0.104695i
\(163\) 7.78249 + 13.4797i 0.609571 + 1.05581i 0.991311 + 0.131539i \(0.0419918\pi\)
−0.381740 + 0.924270i \(0.624675\pi\)
\(164\) −7.39264 + 6.20316i −0.577268 + 0.484385i
\(165\) −0.00334713 0.00863578i −0.000260574 0.000672294i
\(166\) 1.06272 6.02696i 0.0824828 0.467783i
\(167\) −0.487765 + 2.76625i −0.0377444 + 0.214059i −0.997847 0.0655902i \(-0.979107\pi\)
0.960102 + 0.279649i \(0.0902181\pi\)
\(168\) 4.98065 4.19630i 0.384265 0.323752i
\(169\) 11.3996 9.56543i 0.876895 0.735803i
\(170\) 0.00943361 0.0163395i 0.000723525 0.00125318i
\(171\) −0.0730152 0.332881i −0.00558362 0.0254561i
\(172\) −0.186025 0.322204i −0.0141842 0.0245678i
\(173\) 3.96049 3.32325i 0.301111 0.252662i −0.479696 0.877435i \(-0.659253\pi\)
0.780806 + 0.624773i \(0.214808\pi\)
\(174\) −18.5142 + 3.66112i −1.40356 + 0.277549i
\(175\) −11.5781 + 6.39910i −0.875218 + 0.483727i
\(176\) −13.6034 + 4.95122i −1.02539 + 0.373213i
\(177\) 4.49966 13.2069i 0.338215 0.992692i
\(178\) 11.1866 + 4.07159i 0.838471 + 0.305178i
\(179\) 8.64845 + 14.9796i 0.646416 + 1.11962i 0.983973 + 0.178320i \(0.0570662\pi\)
−0.337557 + 0.941305i \(0.609601\pi\)
\(180\) −0.000879711 0.00656822i −6.55698e−5 0.000489566i
\(181\) −3.02128 5.23301i −0.224570 0.388966i 0.731620 0.681712i \(-0.238764\pi\)
−0.956190 + 0.292746i \(0.905431\pi\)
\(182\) −8.11493 23.6626i −0.601519 1.75399i
\(183\) −0.281502 13.6002i −0.0208092 1.00536i
\(184\) 5.23976 1.90712i 0.386280 0.140595i
\(185\) 0.00559154 0.00203515i 0.000411098 0.000149627i
\(186\) −7.85718 + 9.76739i −0.576117 + 0.716180i
\(187\) −2.91777 16.5475i −0.213368 1.21007i
\(188\) −4.64188 −0.338544
\(189\) −10.9048 8.37168i −0.793208 0.608950i
\(190\) −0.000372480 0 −2.70225e−5 0
\(191\) 0.638035 + 3.61848i 0.0461666 + 0.261824i 0.999151 0.0411952i \(-0.0131166\pi\)
−0.952985 + 0.303019i \(0.902005\pi\)
\(192\) 1.52429 + 0.236360i 0.110006 + 0.0170578i
\(193\) −0.130197 + 0.0473877i −0.00937176 + 0.00341104i −0.346702 0.937975i \(-0.612698\pi\)
0.337330 + 0.941386i \(0.390476\pi\)
\(194\) 17.4324 6.34487i 1.25157 0.455535i
\(195\) −0.0146738 0.00807172i −0.00105081 0.000578028i
\(196\) −8.43826 0.315584i −0.602733 0.0225417i
\(197\) 11.3397 + 19.6410i 0.807923 + 1.39936i 0.914300 + 0.405038i \(0.132742\pi\)
−0.106377 + 0.994326i \(0.533925\pi\)
\(198\) 8.39869 + 13.2488i 0.596869 + 0.941549i
\(199\) −13.8174 23.9324i −0.979489 1.69652i −0.664248 0.747512i \(-0.731248\pi\)
−0.315240 0.949012i \(-0.602085\pi\)
\(200\) 6.67743 + 2.43039i 0.472166 + 0.171854i
\(201\) 15.9257 3.14925i 1.12331 0.222131i
\(202\) −4.25278 + 1.54789i −0.299225 + 0.108909i
\(203\) −13.7899 8.30907i −0.967863 0.583182i
\(204\) −3.87728 + 11.3802i −0.271464 + 0.796771i
\(205\) −0.0112220 + 0.00941635i −0.000783776 + 0.000657666i
\(206\) −16.3481 28.3158i −1.13903 1.97286i
\(207\) −6.30198 9.94125i −0.438018 0.690965i
\(208\) −13.0883 + 22.6696i −0.907509 + 1.57185i
\(209\) −0.254115 + 0.213227i −0.0175775 + 0.0147492i
\(210\) −0.0114911 + 0.00968152i −0.000792963 + 0.000668089i
\(211\) −2.79342 + 15.8423i −0.192307 + 1.09063i 0.723895 + 0.689910i \(0.242350\pi\)
−0.916202 + 0.400717i \(0.868761\pi\)
\(212\) 2.99341 16.9764i 0.205588 1.16595i
\(213\) −6.01744 0.933081i −0.412308 0.0639336i
\(214\) −2.54123 + 2.13235i −0.173715 + 0.145764i
\(215\) −0.000282384 0 0.000489104i −1.92584e−5 0 3.33566e-5i
\(216\) 0.458197 + 7.37052i 0.0311763 + 0.501501i
\(217\) −10.5640 + 1.65978i −0.717134 + 0.112673i
\(218\) −11.6779 4.25042i −0.790929 0.287875i
\(219\) −1.93628 4.99571i −0.130842 0.337579i
\(220\) 0.00606145 0.00220619i 0.000408663 0.000148741i
\(221\) −23.2748 19.5299i −1.56563 1.31372i
\(222\) −8.62178 + 5.21860i −0.578656 + 0.350250i
\(223\) 11.3720 9.54222i 0.761524 0.638994i −0.176999 0.984211i \(-0.556639\pi\)
0.938523 + 0.345217i \(0.112195\pi\)
\(224\) 10.0322 + 12.4201i 0.670304 + 0.829854i
\(225\) 1.99124 14.8672i 0.132749 0.991149i
\(226\) 9.43570 0.627654
\(227\) 12.3380 + 4.49065i 0.818899 + 0.298055i 0.717295 0.696770i \(-0.245380\pi\)
0.101605 + 0.994825i \(0.467602\pi\)
\(228\) 0.232842 0.0460438i 0.0154203 0.00304933i
\(229\) −0.747003 0.626810i −0.0493633 0.0414207i 0.617772 0.786357i \(-0.288035\pi\)
−0.667136 + 0.744936i \(0.732480\pi\)
\(230\) −0.0120890 + 0.00440002i −0.000797122 + 0.000290129i
\(231\) −2.29730 + 13.1831i −0.151151 + 0.867384i
\(232\) 1.50174 + 8.51679i 0.0985941 + 0.559155i
\(233\) −0.741911 −0.0486042 −0.0243021 0.999705i \(-0.507736\pi\)
−0.0243021 + 0.999705i \(0.507736\pi\)
\(234\) 27.0328 + 8.59010i 1.76719 + 0.561552i
\(235\) −0.00704634 −0.000459653
\(236\) 9.13130 + 3.32352i 0.594397 + 0.216343i
\(237\) 18.7996 11.3790i 1.22116 0.739148i
\(238\) −23.8586 + 13.1865i −1.54653 + 0.854753i
\(239\) 16.7661 + 14.0684i 1.08451 + 0.910011i 0.996287 0.0860894i \(-0.0274371\pi\)
0.0882220 + 0.996101i \(0.471882\pi\)
\(240\) 0.0155377 + 0.00240932i 0.00100295 + 0.000155521i
\(241\) −8.17887 + 6.86288i −0.526847 + 0.442077i −0.867011 0.498289i \(-0.833962\pi\)
0.340164 + 0.940366i \(0.389517\pi\)
\(242\) −2.21390 + 3.83459i −0.142315 + 0.246497i
\(243\) 14.9899 4.27814i 0.961603 0.274443i
\(244\) 9.47406 0.606515
\(245\) −0.0128092 0.000479055i −0.000818352 3.06057e-5i
\(246\) 15.5517 19.3325i 0.991539 1.23260i
\(247\) −0.104159 + 0.590716i −0.00662749 + 0.0375864i
\(248\) 4.40032 + 3.69231i 0.279421 + 0.234462i
\(249\) 0.122503 + 5.91850i 0.00776333 + 0.375070i
\(250\) −0.0308118 0.0112146i −0.00194871 0.000709272i
\(251\) 2.40742 + 4.16977i 0.151955 + 0.263194i 0.931946 0.362597i \(-0.118110\pi\)
−0.779991 + 0.625790i \(0.784776\pi\)
\(252\) 5.98648 7.47251i 0.377113 0.470724i
\(253\) −5.72856 + 9.92216i −0.360151 + 0.623801i
\(254\) −17.8784 + 15.0017i −1.12179 + 0.941292i
\(255\) −0.00588569 + 0.0172750i −0.000368576 + 0.00108180i
\(256\) 3.56614 20.2246i 0.222884 1.26404i
\(257\) 13.8604 + 11.6302i 0.864587 + 0.725475i 0.962951 0.269676i \(-0.0869165\pi\)
−0.0983640 + 0.995151i \(0.531361\pi\)
\(258\) 0.629887 + 0.719875i 0.0392150 + 0.0448175i
\(259\) −8.43738 1.65090i −0.524273 0.102582i
\(260\) 0.00583193 0.0101012i 0.000361681 0.000626450i
\(261\) 16.8814 6.94821i 1.04493 0.430083i
\(262\) −9.56692 −0.591046
\(263\) −1.29613 7.35070i −0.0799226 0.453264i −0.998337 0.0576444i \(-0.981641\pi\)
0.918415 0.395619i \(-0.129470\pi\)
\(264\) 6.14943 3.72214i 0.378471 0.229082i
\(265\) 0.00454397 0.0257701i 0.000279134 0.00158305i
\(266\) 0.460963 + 0.277751i 0.0282634 + 0.0170300i
\(267\) −11.3792 1.76448i −0.696394 0.107985i
\(268\) 1.96334 + 11.1347i 0.119930 + 0.680157i
\(269\) 6.31420 10.9365i 0.384983 0.666811i −0.606784 0.794867i \(-0.707541\pi\)
0.991767 + 0.128056i \(0.0408739\pi\)
\(270\) −0.00105713 0.0170050i −6.43350e−5 0.00103489i
\(271\) −8.60359 14.9018i −0.522631 0.905223i −0.999653 0.0263318i \(-0.991617\pi\)
0.477023 0.878891i \(-0.341716\pi\)
\(272\) 26.8053 + 9.75632i 1.62531 + 0.591564i
\(273\) 12.1406 + 20.9311i 0.734781 + 1.26681i
\(274\) −10.1489 8.51597i −0.613120 0.514469i
\(275\) −13.7202 + 4.99373i −0.827357 + 0.301133i
\(276\) 7.01306 4.24488i 0.422137 0.255512i
\(277\) 4.75015 + 26.9394i 0.285409 + 1.61863i 0.703822 + 0.710376i \(0.251475\pi\)
−0.418414 + 0.908257i \(0.637414\pi\)
\(278\) 9.67709 16.7612i 0.580393 1.00527i
\(279\) 5.62301 10.7428i 0.336641 0.643155i
\(280\) 0.00432652 + 0.00535635i 0.000258559 + 0.000320103i
\(281\) −2.21334 12.5525i −0.132037 0.748817i −0.976878 0.213799i \(-0.931416\pi\)
0.844841 0.535017i \(-0.179695\pi\)
\(282\) 11.7076 2.31515i 0.697179 0.137865i
\(283\) −2.70525 + 15.3422i −0.160811 + 0.912002i 0.792469 + 0.609912i \(0.208795\pi\)
−0.953280 + 0.302090i \(0.902316\pi\)
\(284\) 0.736443 4.17658i 0.0436999 0.247834i
\(285\) 0.000353453 0 6.98943e-5i 2.09367e−5 0 4.14018e-6i
\(286\) −4.79438 27.1903i −0.283497 1.60779i
\(287\) 20.9093 3.28519i 1.23424 0.193919i
\(288\) −18.0879 + 0.749102i −1.06584 + 0.0441412i
\(289\) −8.05480 + 13.9513i −0.473812 + 0.820666i
\(290\) −0.00346475 0.0196496i −0.000203457 0.00115386i
\(291\) −15.3513 + 9.29188i −0.899910 + 0.544699i
\(292\) 3.50649 1.27626i 0.205202 0.0746874i
\(293\) −23.0618 19.3511i −1.34728 1.13051i −0.979690 0.200520i \(-0.935737\pi\)
−0.367595 0.929986i \(-0.619819\pi\)
\(294\) 21.4402 3.41265i 1.25042 0.199030i
\(295\) 0.0138613 + 0.00504508i 0.000807034 + 0.000293736i
\(296\) 2.30909 + 3.99946i 0.134213 + 0.232464i
\(297\) −10.4557 10.9960i −0.606704 0.638054i
\(298\) 6.28565 10.8871i 0.364118 0.630671i
\(299\) 3.59747 + 20.4023i 0.208047 + 1.17989i
\(300\) 10.3236 + 1.60080i 0.596031 + 0.0924222i
\(301\) −0.0152509 + 0.815859i −0.000879047 + 0.0470253i
\(302\) −3.65346 + 20.7198i −0.210233 + 1.19229i
\(303\) 3.74508 2.26683i 0.215149 0.130226i
\(304\) −0.0977911 0.554601i −0.00560870 0.0318085i
\(305\) 0.0143816 0.000823486
\(306\) 4.10329 30.6366i 0.234570 1.75138i
\(307\) 5.25664 9.10477i 0.300012 0.519637i −0.676126 0.736786i \(-0.736342\pi\)
0.976138 + 0.217149i \(0.0696758\pi\)
\(308\) −9.14646 1.78964i −0.521168 0.101974i
\(309\) 20.8264 + 23.8017i 1.18477 + 1.35403i
\(310\) −0.0101522 0.00851873i −0.000576608 0.000483831i
\(311\) 3.40804 19.3279i 0.193252 1.09599i −0.721634 0.692275i \(-0.756609\pi\)
0.914886 0.403712i \(-0.132280\pi\)
\(312\) 4.19181 12.3033i 0.237314 0.696539i
\(313\) 1.78384 1.49682i 0.100829 0.0846054i −0.590980 0.806686i \(-0.701259\pi\)
0.691808 + 0.722081i \(0.256814\pi\)
\(314\) 19.5192 33.8082i 1.10153 1.90791i
\(315\) 0.00908744 0.0113432i 0.000512019 0.000639118i
\(316\) 7.65243 + 13.2544i 0.430483 + 0.745619i
\(317\) −24.4267 8.89060i −1.37194 0.499346i −0.452217 0.891908i \(-0.649367\pi\)
−0.919726 + 0.392562i \(0.871589\pi\)
\(318\) 0.917156 + 44.3105i 0.0514315 + 2.48481i
\(319\) −13.6122 11.4220i −0.762137 0.639509i
\(320\) −0.000283181 0.00160600i −1.58303e−5 8.97780e-5i
\(321\) 2.01130 2.50027i 0.112260 0.139552i
\(322\) 18.2417 + 3.56926i 1.01657 + 0.198907i
\(323\) 0.653655 0.0363704
\(324\) 2.76288 + 10.4993i 0.153493 + 0.583297i
\(325\) −13.2006 + 22.8642i −0.732240 + 1.26828i
\(326\) 21.3504 17.9151i 1.18249 0.992224i
\(327\) 11.8790 + 1.84198i 0.656908 + 0.101862i
\(328\) −8.70953 7.30816i −0.480903 0.403526i
\(329\) 8.72020 + 5.25432i 0.480760 + 0.289680i
\(330\) −0.0141877 + 0.00858756i −0.000781007 + 0.000472729i
\(331\) −24.5229 8.92560i −1.34790 0.490595i −0.435608 0.900137i \(-0.643466\pi\)
−0.912292 + 0.409541i \(0.865689\pi\)
\(332\) −4.12290 −0.226274
\(333\) 7.20211 6.56986i 0.394673 0.360026i
\(334\) 5.02971 0.275213
\(335\) 0.00298034 + 0.0169023i 0.000162833 + 0.000923473i
\(336\) −17.4321 14.5678i −0.950999 0.794740i
\(337\) −20.5364 + 7.47462i −1.11869 + 0.407169i −0.834173 0.551503i \(-0.814054\pi\)
−0.284514 + 0.958672i \(0.591832\pi\)
\(338\) −20.4124 17.1280i −1.11029 0.931642i
\(339\) −8.95370 + 1.77057i −0.486298 + 0.0961641i
\(340\) −0.0119440 0.00434726i −0.000647754 0.000235763i
\(341\) −11.8027 −0.639150
\(342\) −0.564304 + 0.232261i −0.0305141 + 0.0125593i
\(343\) 15.4948 + 10.1445i 0.836643 + 0.547749i
\(344\) 0.335776 0.281750i 0.0181038 0.0151909i
\(345\) 0.0106458 0.00644369i 0.000573149 0.000346917i
\(346\) −7.09173 5.95067i −0.381254 0.319910i
\(347\) 32.0887 11.6793i 1.72261 0.626980i 0.724551 0.689221i \(-0.242047\pi\)
0.998061 + 0.0622414i \(0.0198249\pi\)
\(348\) 4.59483 + 11.8549i 0.246309 + 0.635490i
\(349\) −14.6096 5.31745i −0.782032 0.284636i −0.0800123 0.996794i \(-0.525496\pi\)
−0.702020 + 0.712157i \(0.747718\pi\)
\(350\) 14.8843 + 18.4272i 0.795600 + 0.984974i
\(351\) −27.2638 3.07871i −1.45523 0.164329i
\(352\) 8.81076 + 15.2607i 0.469615 + 0.813397i
\(353\) −1.15956 + 0.972982i −0.0617169 + 0.0517866i −0.673124 0.739529i \(-0.735048\pi\)
0.611407 + 0.791316i \(0.290604\pi\)
\(354\) −24.6884 3.82824i −1.31217 0.203469i
\(355\) 0.00111792 0.00634002i 5.93328e−5 0.000336493i
\(356\) 1.39264 7.89804i 0.0738097 0.418595i
\(357\) 20.1655 16.9898i 1.06727 0.899198i
\(358\) 23.7260 19.9085i 1.25396 1.05220i
\(359\) −1.62355 + 2.81207i −0.0856876 + 0.148415i −0.905684 0.423953i \(-0.860642\pi\)
0.819996 + 0.572369i \(0.193975\pi\)
\(360\) −0.00780067 0.000323060i −0.000411131 1.70268e-5i
\(361\) 9.49355 + 16.4433i 0.499660 + 0.865437i
\(362\) −8.28853 + 6.95490i −0.435635 + 0.365541i
\(363\) 1.38127 4.05414i 0.0724977 0.212787i
\(364\) −14.7496 + 8.15198i −0.773088 + 0.427280i
\(365\) 0.00532283 0.00193735i 0.000278610 0.000101406i
\(366\) −23.8952 + 4.72521i −1.24902 + 0.246991i
\(367\) −5.97923 2.17626i −0.312113 0.113600i 0.181214 0.983444i \(-0.441997\pi\)
−0.493327 + 0.869844i \(0.664220\pi\)
\(368\) −9.72521 16.8446i −0.506962 0.878083i
\(369\) −11.1296 + 21.2632i −0.579383 + 1.10692i
\(370\) −0.00532743 0.00922739i −0.000276960 0.000479709i
\(371\) −24.8397 + 28.5035i −1.28961 + 1.47983i
\(372\) 7.39933 + 4.07021i 0.383637 + 0.211031i
\(373\) −17.8704 + 6.50428i −0.925293 + 0.336779i −0.760342 0.649523i \(-0.774969\pi\)
−0.164951 + 0.986302i \(0.552746\pi\)
\(374\) −28.2728 + 10.2905i −1.46195 + 0.532107i
\(375\) 0.0313422 + 0.00486001i 0.00161850 + 0.000250970i
\(376\) −0.949641 5.38568i −0.0489740 0.277745i
\(377\) −32.1311 −1.65484
\(378\) −11.3720 + 21.8328i −0.584914 + 1.12296i
\(379\) 21.5974 1.10938 0.554691 0.832057i \(-0.312837\pi\)
0.554691 + 0.832057i \(0.312837\pi\)
\(380\) 4.35742e−5 0 0.000247121i 2.23531e−6 0 1.26771e-5i
\(381\) 14.1501 17.5902i 0.724930 0.901173i
\(382\) 6.18248 2.25024i 0.316323 0.115132i
\(383\) 21.1775 7.70799i 1.08212 0.393860i 0.261425 0.965224i \(-0.415808\pi\)
0.820697 + 0.571364i \(0.193586\pi\)
\(384\) 0.375429 + 18.1381i 0.0191586 + 0.925607i
\(385\) −0.0138843 0.00271666i −0.000707608 0.000138454i
\(386\) 0.124047 + 0.214856i 0.00631384 + 0.0109359i
\(387\) −0.732792 0.564906i −0.0372499 0.0287158i
\(388\) −6.24881 10.8233i −0.317235 0.549467i
\(389\) −3.17737 1.15647i −0.161099 0.0586353i 0.260212 0.965552i \(-0.416208\pi\)
−0.421311 + 0.906916i \(0.638430\pi\)
\(390\) −0.00967115 + 0.0283857i −0.000489718 + 0.00143737i
\(391\) 21.2146 7.72148i 1.07287 0.390492i
\(392\) −1.36016 9.85495i −0.0686983 0.497750i
\(393\) 9.07822 1.79519i 0.457936 0.0905554i
\(394\) 31.1093 26.1038i 1.56726 1.31509i
\(395\) 0.0116163 + 0.0201201i 0.000584482 + 0.00101235i
\(396\) 7.80737 7.12200i 0.392335 0.357894i
\(397\) −12.5390 + 21.7183i −0.629316 + 1.09001i 0.358373 + 0.933579i \(0.383332\pi\)
−0.987689 + 0.156429i \(0.950002\pi\)
\(398\) −37.9064 + 31.8072i −1.90008 + 1.59435i
\(399\) −0.489534 0.177065i −0.0245074 0.00886436i
\(400\) 4.30425 24.4106i 0.215212 1.22053i
\(401\) 4.72763 26.8117i 0.236087 1.33891i −0.604227 0.796812i \(-0.706518\pi\)
0.840313 0.542101i \(-0.182371\pi\)
\(402\) −10.5053 27.1043i −0.523958 1.35184i
\(403\) −16.3488 + 13.7183i −0.814391 + 0.683356i
\(404\) 1.52445 + 2.64042i 0.0758442 + 0.131366i
\(405\) 0.00419404 + 0.0159379i 0.000208403 + 0.000791962i
\(406\) −10.3645 + 26.9009i −0.514382 + 1.33507i
\(407\) −8.91675 3.24543i −0.441987 0.160870i
\(408\) −13.9969 2.17040i −0.692951 0.107451i
\(409\) 28.1524 10.2466i 1.39205 0.506664i 0.466240 0.884658i \(-0.345608\pi\)
0.925808 + 0.377994i \(0.123386\pi\)
\(410\) 0.0200943 + 0.0168611i 0.000992384 + 0.000832709i
\(411\) 11.2285 + 6.17655i 0.553860 + 0.304667i
\(412\) −16.8736 + 14.1586i −0.831303 + 0.697546i
\(413\) −13.3920 16.5796i −0.658976 0.815830i
\(414\) −15.5710 + 14.2041i −0.765274 + 0.698094i
\(415\) −0.00625854 −0.000307219
\(416\) 29.9420 + 10.8980i 1.46803 + 0.534318i
\(417\) −6.03759 + 17.7209i −0.295662 + 0.867794i
\(418\) 0.455022 + 0.381809i 0.0222558 + 0.0186749i
\(419\) −10.6765 + 3.88594i −0.521583 + 0.189841i −0.589376 0.807859i \(-0.700626\pi\)
0.0677934 + 0.997699i \(0.478404\pi\)
\(420\) 0.00776747 + 0.00649119i 0.000379014 + 0.000316738i
\(421\) 1.69681 + 9.62307i 0.0826973 + 0.469000i 0.997830 + 0.0658463i \(0.0209747\pi\)
−0.915133 + 0.403153i \(0.867914\pi\)
\(422\) 28.8051 1.40221
\(423\) −10.6752 + 4.39377i −0.519044 + 0.213633i
\(424\) 20.3091 0.986297
\(425\) 27.0354 + 9.84007i 1.31141 + 0.477314i
\(426\) 0.225640 + 10.9014i 0.0109323 + 0.528173i
\(427\) −17.7979 10.7241i −0.861301 0.518974i
\(428\) 1.71199 + 1.43653i 0.0827520 + 0.0694372i
\(429\) 9.65160 + 24.9017i 0.465984 + 1.20226i
\(430\) −0.000774688 0 0.000650041i −3.73588e−5 0 3.13477e-5i
\(431\) −7.18150 + 12.4387i −0.345921 + 0.599152i −0.985521 0.169556i \(-0.945767\pi\)
0.639600 + 0.768708i \(0.279100\pi\)
\(432\) 25.0418 6.03850i 1.20483 0.290527i
\(433\) 34.1628 1.64176 0.820880 0.571100i \(-0.193483\pi\)
0.820880 + 0.571100i \(0.193483\pi\)
\(434\) 6.21163 + 18.1127i 0.298168 + 0.869436i
\(435\) 0.00697492 + 0.0179957i 0.000334422 + 0.000862827i
\(436\) −1.45380 + 8.24493i −0.0696246 + 0.394861i
\(437\) −0.341427 0.286491i −0.0163327 0.0137047i
\(438\) −8.20745 + 4.96782i −0.392167 + 0.237372i
\(439\) 25.5052 + 9.28313i 1.21730 + 0.443060i 0.869229 0.494410i \(-0.164616\pi\)
0.348067 + 0.937470i \(0.386838\pi\)
\(440\) 0.00379976 + 0.00658138i 0.000181146 + 0.000313755i
\(441\) −19.7046 + 7.26148i −0.938314 + 0.345785i
\(442\) −27.2023 + 47.1157i −1.29388 + 2.24107i
\(443\) −21.3846 + 17.9438i −1.01601 + 0.852534i −0.989121 0.147104i \(-0.953005\pi\)
−0.0268898 + 0.999638i \(0.508560\pi\)
\(444\) 4.47089 + 5.10961i 0.212179 + 0.242492i
\(445\) 0.00211401 0.0119892i 0.000100214 0.000568341i
\(446\) −20.3629 17.0865i −0.964209 0.809067i
\(447\) −3.92165 + 11.5104i −0.185488 + 0.544423i
\(448\) 1.54801 1.77634i 0.0731367 0.0839242i
\(449\) 15.0828 26.1241i 0.711801 1.23287i −0.252380 0.967628i \(-0.581213\pi\)
0.964181 0.265247i \(-0.0854534\pi\)
\(450\) −26.8362 + 1.11141i −1.26507 + 0.0523923i
\(451\) 23.3609 1.10002
\(452\) −1.10383 6.26011i −0.0519196 0.294451i
\(453\) −0.421148 20.3469i −0.0197872 0.955981i
\(454\) 4.08254 23.1532i 0.191603 1.08664i
\(455\) −0.0223898 + 0.0123747i −0.00104965 + 0.000580133i
\(456\) 0.101057 + 0.260733i 0.00473242 + 0.0122099i
\(457\) −4.26288 24.1760i −0.199409 1.13091i −0.905998 0.423282i \(-0.860878\pi\)
0.706589 0.707624i \(-0.250233\pi\)
\(458\) −0.873053 + 1.51217i −0.0407951 + 0.0706592i
\(459\) 1.85513 + 29.8415i 0.0865902 + 1.39288i
\(460\) 0.00433340 + 0.00750567i 0.000202046 + 0.000349954i
\(461\) −29.7613 10.8322i −1.38612 0.504507i −0.462094 0.886831i \(-0.652902\pi\)
−0.924028 + 0.382324i \(0.875124\pi\)
\(462\) 23.9616 0.0480315i 1.11479 0.00223463i
\(463\) −14.4821 12.1519i −0.673038 0.564746i 0.240925 0.970544i \(-0.422549\pi\)
−0.913963 + 0.405798i \(0.866994\pi\)
\(464\) 28.3474 10.3176i 1.31600 0.478983i
\(465\) 0.0112321 + 0.00617855i 0.000520878 + 0.000286523i
\(466\) 0.230688 + 1.30830i 0.0106864 + 0.0606056i
\(467\) 5.79658 10.0400i 0.268234 0.464595i −0.700172 0.713974i \(-0.746893\pi\)
0.968406 + 0.249380i \(0.0802267\pi\)
\(468\) 2.53669 18.9398i 0.117258 0.875491i
\(469\) 8.91543 23.1399i 0.411676 1.06850i
\(470\) 0.00219097 + 0.0124256i 0.000101062 + 0.000573151i
\(471\) −12.1781 + 35.7439i −0.561139 + 1.64699i
\(472\) −1.98798 + 11.2744i −0.0915043 + 0.518947i
\(473\) −0.156392 + 0.886946i −0.00719093 + 0.0407818i
\(474\) −25.9115 29.6133i −1.19015 1.36018i
\(475\) −0.0986306 0.559362i −0.00452548 0.0256653i
\(476\) 11.5396 + 14.2864i 0.528918 + 0.654815i
\(477\) −9.18498 41.8749i −0.420552 1.91732i
\(478\) 19.5953 33.9400i 0.896266 1.55238i
\(479\) −1.15008 6.52246i −0.0525487 0.298019i 0.947195 0.320658i \(-0.103904\pi\)
−0.999744 + 0.0226396i \(0.992793\pi\)
\(480\) −0.000396070 0.0191353i −1.80780e−5 0.000873404i
\(481\) −16.1235 + 5.86846i −0.735167 + 0.267579i
\(482\) 14.6452 + 12.2888i 0.667071 + 0.559739i
\(483\) −17.9796 + 0.0360405i −0.818101 + 0.00163990i
\(484\) 2.80305 + 1.02023i 0.127411 + 0.0463739i
\(485\) −0.00948565 0.0164296i −0.000430721 0.000746031i
\(486\) −12.2050 25.1032i −0.553632 1.13870i
\(487\) 8.02176 13.8941i 0.363501 0.629602i −0.625034 0.780598i \(-0.714915\pi\)
0.988534 + 0.150996i \(0.0482481\pi\)
\(488\) 1.93822 + 10.9922i 0.0877389 + 0.497592i
\(489\) −16.8980 + 21.0062i −0.764156 + 0.949934i
\(490\) 0.00313810 + 0.0227369i 0.000141765 + 0.00102715i
\(491\) −1.53326 + 8.69553i −0.0691949 + 0.392424i 0.930466 + 0.366378i \(0.119402\pi\)
−0.999661 + 0.0260451i \(0.991709\pi\)
\(492\) −14.6454 8.05614i −0.660268 0.363199i
\(493\) 6.08020 + 34.4825i 0.273838 + 1.55301i
\(494\) 1.07406 0.0483244
\(495\) 0.0118515 0.0108111i 0.000532687 0.000485925i
\(496\) 10.0185 17.3526i 0.449845 0.779154i
\(497\) −6.11111 + 7.01248i −0.274121 + 0.314553i
\(498\) 10.3987 2.05631i 0.465976 0.0921454i
\(499\) 22.8396 + 19.1647i 1.02244 + 0.857931i 0.989933 0.141540i \(-0.0452054\pi\)
0.0325101 + 0.999471i \(0.489650\pi\)
\(500\) −0.00383581 + 0.0217540i −0.000171543 + 0.000972867i
\(501\) −4.77278 + 0.943803i −0.213232 + 0.0421660i
\(502\) 6.60447 5.54181i 0.294772 0.247343i
\(503\) −18.3458 + 31.7758i −0.817998 + 1.41681i 0.0891565 + 0.996018i \(0.471583\pi\)
−0.907155 + 0.420797i \(0.861750\pi\)
\(504\) 9.89461 + 5.41701i 0.440741 + 0.241293i
\(505\) 0.00231410 + 0.00400815i 0.000102976 + 0.000178360i
\(506\) 19.2781 + 7.01665i 0.857016 + 0.311928i
\(507\) 22.5837 + 12.4228i 1.00298 + 0.551715i
\(508\) 12.0444 + 10.1064i 0.534382 + 0.448399i
\(509\) −4.76156 + 27.0042i −0.211053 + 1.19694i 0.676574 + 0.736375i \(0.263464\pi\)
−0.887627 + 0.460564i \(0.847647\pi\)
\(510\) 0.0322931 + 0.00500745i 0.00142996 + 0.000221734i
\(511\) −8.03191 1.57156i −0.355311 0.0695219i
\(512\) −15.8246 −0.699353
\(513\) 0.491895 0.326286i 0.0217177 0.0144059i
\(514\) 16.1992 28.0579i 0.714517 1.23758i
\(515\) −0.0256140 + 0.0214927i −0.00112869 + 0.000947083i
\(516\) 0.403913 0.502111i 0.0177813 0.0221042i
\(517\) 8.60782 + 7.22281i 0.378571 + 0.317659i
\(518\) −0.287722 + 15.3919i −0.0126418 + 0.676282i
\(519\) 7.84608 + 4.31596i 0.344405 + 0.189450i
\(520\) 0.0129129 + 0.00469991i 0.000566268 + 0.000206105i
\(521\) −14.3142 −0.627117 −0.313559 0.949569i \(-0.601521\pi\)
−0.313559 + 0.949569i \(0.601521\pi\)
\(522\) −17.5016 27.6085i −0.766026 1.20839i
\(523\) −10.3437 −0.452297 −0.226149 0.974093i \(-0.572614\pi\)
−0.226149 + 0.974093i \(0.572614\pi\)
\(524\) 1.11918 + 6.34716i 0.0488914 + 0.277277i
\(525\) −17.5818 14.6929i −0.767331 0.641250i
\(526\) −12.5593 + 4.57122i −0.547612 + 0.199315i
\(527\) 17.8159 + 14.9493i 0.776072 + 0.651202i
\(528\) −16.5112 18.8701i −0.718558 0.821214i
\(529\) 7.14757 + 2.60150i 0.310764 + 0.113109i
\(530\) −0.0468563 −0.00203531
\(531\) 24.1456 0.999976i 1.04783 0.0433953i
\(532\) 0.130349 0.338318i 0.00565133 0.0146679i
\(533\) 32.3591 27.1525i 1.40163 1.17611i
\(534\) 0.426693 + 20.6148i 0.0184648 + 0.892091i
\(535\) 0.00259879 + 0.00218064i 0.000112355 + 9.42773e-5i
\(536\) −12.5172 + 4.55588i −0.540660 + 0.196784i
\(537\) −18.7783 + 23.3436i −0.810344 + 1.00735i
\(538\) −21.2489 7.73397i −0.916105 0.333435i
\(539\) 15.1567 + 13.7152i 0.652846 + 0.590757i
\(540\) −0.0111582 + 0.00269066i −0.000480175 + 0.000115788i
\(541\) −7.72944 13.3878i −0.332315 0.575586i 0.650651 0.759377i \(-0.274496\pi\)
−0.982965 + 0.183791i \(0.941163\pi\)
\(542\) −23.6029 + 19.8052i −1.01383 + 0.850707i
\(543\) 6.56007 8.15493i 0.281520 0.349962i
\(544\) 6.02958 34.1954i 0.258516 1.46612i
\(545\) −0.00220686 + 0.0125158i −9.45317e−5 + 0.000536116i
\(546\) 33.1352 27.9171i 1.41806 1.19474i
\(547\) 6.37136 5.34621i 0.272420 0.228587i −0.496335 0.868131i \(-0.665321\pi\)
0.768755 + 0.639544i \(0.220877\pi\)
\(548\) −4.46265 + 7.72953i −0.190635 + 0.330189i
\(549\) 21.7879 8.96768i 0.929887 0.382731i
\(550\) 13.0721 + 22.6416i 0.557397 + 0.965440i
\(551\) 0.529537 0.444334i 0.0225590 0.0189293i
\(552\) 6.35981 + 7.26839i 0.270691 + 0.309363i
\(553\) 0.627371 33.5617i 0.0266785 1.42719i
\(554\) 46.0283 16.7529i 1.95556 0.711764i
\(555\) 0.00678677 + 0.00775636i 0.000288083 + 0.000329239i
\(556\) −12.2523 4.45946i −0.519612 0.189123i
\(557\) −15.4350 26.7341i −0.654000 1.13276i −0.982143 0.188134i \(-0.939756\pi\)
0.328143 0.944628i \(-0.393577\pi\)
\(558\) −20.6924 6.57535i −0.875980 0.278357i
\(559\) 0.814268 + 1.41035i 0.0344399 + 0.0596516i
\(560\) 0.0157796 0.0181070i 0.000666808 0.000765161i
\(561\) 24.8976 15.0701i 1.05118 0.636259i
\(562\) −21.4470 + 7.80606i −0.904685 + 0.329279i
\(563\) 18.7640 6.82952i 0.790807 0.287830i 0.0851352 0.996369i \(-0.472868\pi\)
0.705671 + 0.708539i \(0.250646\pi\)
\(564\) −2.90559 7.49658i −0.122347 0.315663i
\(565\) −0.00167560 0.00950280i −7.04930e−5 0.000399786i
\(566\) 27.8959 1.17255
\(567\) 6.69429 22.8514i 0.281134 0.959669i
\(568\) 4.99649 0.209648
\(569\) −4.66103 26.4340i −0.195400 1.10817i −0.911848 0.410529i \(-0.865344\pi\)
0.716447 0.697641i \(-0.245767\pi\)
\(570\) −0.000233154 0 0.000601551i −9.76575e−6 0 2.51962e-5i
\(571\) 28.5000 10.3731i 1.19269 0.434102i 0.332020 0.943272i \(-0.392270\pi\)
0.860666 + 0.509170i \(0.170048\pi\)
\(572\) −17.4785 + 6.36165i −0.730812 + 0.265994i
\(573\) −5.44442 + 3.29541i −0.227444 + 0.137668i
\(574\) −12.2947 35.8503i −0.513169 1.49636i
\(575\) −9.80870 16.9892i −0.409051 0.708497i
\(576\) 0.572410 + 2.60965i 0.0238504 + 0.108736i
\(577\) −6.84381 11.8538i −0.284912 0.493482i 0.687676 0.726018i \(-0.258631\pi\)
−0.972588 + 0.232536i \(0.925298\pi\)
\(578\) 27.1065 + 9.86596i 1.12748 + 0.410370i
\(579\) −0.158027 0.180604i −0.00656739 0.00750563i
\(580\) −0.0126312 + 0.00459737i −0.000524481 + 0.000190895i
\(581\) 7.74525 + 4.66687i 0.321327 + 0.193615i
\(582\) 21.1587 + 24.1815i 0.877057 + 1.00236i
\(583\) −31.9665 + 26.8230i −1.32392 + 1.11090i
\(584\) 2.19812 + 3.80726i 0.0909591 + 0.157546i
\(585\) 0.00385067 0.0287504i 0.000159206 0.00118868i
\(586\) −26.9533 + 46.6845i −1.11343 + 1.92852i
\(587\) 11.7029 9.81992i 0.483031 0.405312i −0.368490 0.929632i \(-0.620125\pi\)
0.851521 + 0.524320i \(0.175681\pi\)
\(588\) −4.77227 13.8252i −0.196805 0.570143i
\(589\) 0.0797294 0.452168i 0.00328519 0.0186312i
\(590\) 0.00458659 0.0260118i 0.000188827 0.00107089i
\(591\) −24.6219 + 30.6078i −1.01281 + 1.25904i
\(592\) 12.3404 10.3548i 0.507186 0.425580i
\(593\) −4.67660 8.10010i −0.192045 0.332631i 0.753883 0.657009i \(-0.228179\pi\)
−0.945928 + 0.324377i \(0.894845\pi\)
\(594\) −16.1394 + 21.8569i −0.662209 + 0.896798i
\(595\) 0.0175171 + 0.0216866i 0.000718130 + 0.000889064i
\(596\) −7.95833 2.89660i −0.325986 0.118649i
\(597\) 30.0016 37.2954i 1.22788 1.52640i
\(598\) 34.8591 12.6877i 1.42549 0.518837i
\(599\) −24.3174 20.4047i −0.993582 0.833714i −0.00749930 0.999972i \(-0.502387\pi\)
−0.986082 + 0.166258i \(0.946832\pi\)
\(600\) 0.254699 + 12.3053i 0.0103980 + 0.502361i
\(601\) 1.79900 1.50954i 0.0733827 0.0615754i −0.605359 0.795953i \(-0.706970\pi\)
0.678741 + 0.734378i \(0.262526\pi\)
\(602\) 1.44344 0.226787i 0.0588302 0.00924316i
\(603\) 15.0547 + 23.7485i 0.613075 + 0.967113i
\(604\) 14.1739 0.576728
\(605\) 0.00425500 + 0.00154870i 0.000172991 + 6.29634e-5i
\(606\) −5.16185 5.89929i −0.209686 0.239642i
\(607\) 4.04355 + 3.39294i 0.164123 + 0.137715i 0.721150 0.692779i \(-0.243614\pi\)
−0.557027 + 0.830494i \(0.688058\pi\)
\(608\) −0.644165 + 0.234457i −0.0261244 + 0.00950849i
\(609\) 4.78723 27.4716i 0.193988 1.11321i
\(610\) −0.00447177 0.0253606i −0.000181056 0.00102682i
\(611\) 20.3185 0.821997
\(612\) −20.8058 + 0.861662i −0.841025 + 0.0348306i
\(613\) −36.7281 −1.48343 −0.741716 0.670714i \(-0.765988\pi\)
−0.741716 + 0.670714i \(0.765988\pi\)
\(614\) −17.6900 6.43862i −0.713909 0.259842i
\(615\) −0.0222317 0.0122292i −0.000896468 0.000493128i
\(616\) 0.205216 10.9782i 0.00826839 0.442324i
\(617\) −1.43466 1.20382i −0.0577572 0.0484641i 0.613452 0.789732i \(-0.289780\pi\)
−0.671209 + 0.741268i \(0.734225\pi\)
\(618\) 35.4965 44.1263i 1.42788 1.77502i
\(619\) 2.32614 1.95187i 0.0934956 0.0784521i −0.594842 0.803843i \(-0.702785\pi\)
0.688337 + 0.725391i \(0.258341\pi\)
\(620\) −0.00446409 + 0.00773204i −0.000179282 + 0.000310526i
\(621\) 12.1103 16.4004i 0.485968 0.658124i
\(622\) −35.1428 −1.40910
\(623\) −11.5563 + 13.2608i −0.462993 + 0.531284i
\(624\) −44.8037 6.94738i −1.79358 0.278118i
\(625\) 4.34120 24.6201i 0.173648 0.984806i
\(626\) −3.19418 2.68024i −0.127665 0.107124i
\(627\) −0.503423 0.276922i −0.0201048 0.0110592i
\(628\) −24.7135 8.99497i −0.986175 0.358938i
\(629\) 9.34897 + 16.1929i 0.372768 + 0.645653i
\(630\) −0.0228284 0.0124979i −0.000909506 0.000497927i
\(631\) −10.2641 + 17.7780i −0.408609 + 0.707732i −0.994734 0.102489i \(-0.967319\pi\)
0.586125 + 0.810221i \(0.300653\pi\)
\(632\) −13.8127 + 11.5902i −0.549440 + 0.461035i
\(633\) −27.3336 + 5.40515i −1.08641 + 0.214835i
\(634\) −8.08263 + 45.8389i −0.321002 + 1.82049i
\(635\) 0.0182832 + 0.0153415i 0.000725548 + 0.000608807i
\(636\) 29.2905 5.79211i 1.16144 0.229672i
\(637\) 36.9360 + 1.38138i 1.46346 + 0.0547322i
\(638\) −15.9091 + 27.5555i −0.629849 + 1.09093i
\(639\) −2.25971 10.3022i −0.0893927 0.407547i
\(640\) −0.0191802 −0.000758164
\(641\) 7.01580 + 39.7886i 0.277107 + 1.57155i 0.732188 + 0.681103i \(0.238499\pi\)
−0.455080 + 0.890450i \(0.650389\pi\)
\(642\) −5.03440 2.76932i −0.198692 0.109296i
\(643\) −7.46629 + 42.3434i −0.294442 + 1.66986i 0.375021 + 0.927016i \(0.377635\pi\)
−0.669463 + 0.742845i \(0.733476\pi\)
\(644\) 0.234037 12.5200i 0.00922234 0.493356i
\(645\) 0.000613138 0 0.000762202i 2.41423e−5 0 3.00117e-5i
\(646\) −0.203246 1.15266i −0.00799660 0.0453510i
\(647\) 19.9166 34.4965i 0.783002 1.35620i −0.147184 0.989109i \(-0.547021\pi\)
0.930186 0.367089i \(-0.119646\pi\)
\(648\) −11.6165 + 5.35357i −0.456339 + 0.210308i
\(649\) −11.7615 20.3715i −0.461679 0.799651i
\(650\) 44.4236 + 16.1689i 1.74244 + 0.634195i
\(651\) −9.29309 16.0219i −0.364225 0.627946i
\(652\) −14.3834 12.0691i −0.563297 0.472662i
\(653\) −3.55373 + 1.29345i −0.139068 + 0.0506167i −0.410617 0.911808i \(-0.634687\pi\)
0.271548 + 0.962425i \(0.412464\pi\)
\(654\) −0.445434 21.5203i −0.0174178 0.841509i
\(655\) 0.00169890 + 0.00963495i 6.63816e−5 + 0.000376469i
\(656\) −19.8296 + 34.3459i −0.774216 + 1.34098i
\(657\) 6.85600 6.25414i 0.267478 0.243997i
\(658\) 6.55411 17.0111i 0.255506 0.663161i
\(659\) 0.766060 + 4.34454i 0.0298415 + 0.169239i 0.996086 0.0883863i \(-0.0281710\pi\)
−0.966245 + 0.257626i \(0.917060\pi\)
\(660\) 0.00735714 + 0.00840820i 0.000286376 + 0.000327289i
\(661\) −0.578375 + 3.28013i −0.0224962 + 0.127582i −0.993988 0.109492i \(-0.965077\pi\)
0.971491 + 0.237075i \(0.0761886\pi\)
\(662\) −8.11444 + 46.0193i −0.315377 + 1.78859i
\(663\) 16.9717 49.8133i 0.659124 1.93459i
\(664\) −0.843468 4.78355i −0.0327329 0.185638i
\(665\) 0.000197868 0 0.000513564i 7.67300e−6 0 1.99151e-5i
\(666\) −13.8248 10.6575i −0.535700 0.412969i
\(667\) 11.9375 20.6763i 0.462221 0.800590i
\(668\) −0.588395 3.33695i −0.0227657 0.129111i
\(669\) 22.5289 + 12.3926i 0.871016 + 0.479127i
\(670\) 0.0288791 0.0105111i 0.00111570 0.000406080i
\(671\) −17.5685 14.7417i −0.678225 0.569099i
\(672\) −13.7787 + 23.9763i −0.531525 + 0.924904i
\(673\) 12.1305 + 4.41516i 0.467598 + 0.170192i 0.565064 0.825047i \(-0.308851\pi\)
−0.0974659 + 0.995239i \(0.531074\pi\)
\(674\) 19.5664 + 33.8899i 0.753668 + 1.30539i
\(675\) 25.2568 6.09034i 0.972135 0.234417i
\(676\) −8.97565 + 15.5463i −0.345217 + 0.597934i
\(677\) −5.32513 30.2003i −0.204661 1.16069i −0.897972 0.440053i \(-0.854960\pi\)
0.693310 0.720639i \(-0.256152\pi\)
\(678\) 5.90629 + 15.2385i 0.226830 + 0.585233i
\(679\) −0.512298 + 27.4058i −0.0196602 + 1.05174i
\(680\) 0.00260034 0.0147472i 9.97184e−5 0.000565531i
\(681\) 0.470610 + 22.7366i 0.0180338 + 0.871268i
\(682\) 3.66989 + 20.8130i 0.140527 + 0.796970i
\(683\) 23.1544 0.885978 0.442989 0.896527i \(-0.353918\pi\)
0.442989 + 0.896527i \(0.353918\pi\)
\(684\) 0.220108 + 0.347216i 0.00841604 + 0.0132761i
\(685\) −0.00677427 + 0.0117334i −0.000258831 + 0.000448309i
\(686\) 13.0709 30.4781i 0.499051 1.16366i
\(687\) 0.544703 1.59875i 0.0207817 0.0609962i
\(688\) −1.17126 0.982803i −0.0446538 0.0374690i
\(689\) −13.1028 + 74.3094i −0.499175 + 2.83096i
\(690\) −0.0146731 0.0167693i −0.000558594 0.000638397i
\(691\) −23.4151 + 19.6476i −0.890751 + 0.747429i −0.968361 0.249555i \(-0.919716\pi\)
0.0776099 + 0.996984i \(0.475271\pi\)
\(692\) −3.11834 + 5.40113i −0.118542 + 0.205320i
\(693\) −22.7285 + 4.54186i −0.863386 + 0.172531i
\(694\) −30.5731 52.9541i −1.16054 2.01011i
\(695\) −0.0185989 0.00676943i −0.000705495 0.000256779i
\(696\) −12.8145 + 7.75639i −0.485732 + 0.294005i
\(697\) −35.2629 29.5891i −1.33568 1.12077i
\(698\) −4.83420 + 27.4161i −0.182977 + 1.03771i
\(699\) −0.464400 1.19818i −0.0175652 0.0453192i
\(700\) 10.4843 12.0307i 0.396268 0.454716i
\(701\) −15.5148 −0.585987 −0.292994 0.956114i \(-0.594651\pi\)
−0.292994 + 0.956114i \(0.594651\pi\)
\(702\) 3.04829 + 49.0346i 0.115050 + 1.85069i
\(703\) 0.184569 0.319683i 0.00696115 0.0120571i
\(704\) 1.99215 1.67162i 0.0750821 0.0630014i
\(705\) −0.00441066 0.0113798i −0.000166115 0.000428586i
\(706\) 2.07632 + 1.74224i 0.0781433 + 0.0655700i
\(707\) 0.124979 6.68587i 0.00470033 0.251448i
\(708\) 0.348298 + 16.8273i 0.0130898 + 0.632409i
\(709\) 16.5023 + 6.00633i 0.619756 + 0.225573i 0.632766 0.774343i \(-0.281919\pi\)
−0.0130108 + 0.999915i \(0.504142\pi\)
\(710\) −0.0115277 −0.000432626
\(711\) 30.1446 + 23.2384i 1.13051 + 0.871507i
\(712\) 9.44851 0.354098
\(713\) −2.75371 15.6171i −0.103127 0.584864i
\(714\) −36.2303 30.2773i −1.35589 1.13310i
\(715\) −0.0265322 + 0.00965694i −0.000992248 + 0.000361149i
\(716\) −15.9838 13.4120i −0.597344 0.501231i
\(717\) −12.2256 + 35.8832i −0.456573 + 1.34008i
\(718\) 5.46366 + 1.98861i 0.203902 + 0.0742142i
\(719\) −35.8972 −1.33874 −0.669370 0.742929i \(-0.733436\pi\)
−0.669370 + 0.742929i \(0.733436\pi\)
\(720\) 0.00583482 + 0.0266013i 0.000217451 + 0.000991373i
\(721\) 47.7254 7.49842i 1.77739 0.279256i
\(722\) 26.0445 21.8539i 0.969274 0.813318i
\(723\) −16.2030 8.91294i −0.602598 0.331476i
\(724\) 5.58384 + 4.68540i 0.207522 + 0.174132i
\(725\) 28.5908 10.4062i 1.06184 0.386476i
\(726\) −7.57861 1.17516i −0.281269 0.0436143i
\(727\) 29.3404 + 10.6790i 1.08818 + 0.396064i 0.822945 0.568121i \(-0.192330\pi\)
0.265231 + 0.964185i \(0.414552\pi\)
\(728\) −12.4757 15.4453i −0.462381 0.572440i
\(729\) 16.2921 + 21.5306i 0.603411 + 0.797431i
\(730\) −0.00507142 0.00878395i −0.000187702 0.000325109i
\(731\) 1.35948 1.14074i 0.0502822 0.0421918i
\(732\) 5.93030 + 15.3005i 0.219190 + 0.565523i
\(733\) −0.0680805 + 0.386104i −0.00251461 + 0.0142611i −0.986039 0.166513i \(-0.946749\pi\)
0.983525 + 0.180774i \(0.0578603\pi\)
\(734\) −1.97848 + 11.2205i −0.0730272 + 0.414158i
\(735\) −0.00724428 0.0209866i −0.000267209 0.000774103i
\(736\) −18.1370 + 15.2187i −0.668539 + 0.560970i
\(737\) 13.6849 23.7029i 0.504088 0.873106i
\(738\) 40.9564 + 13.0146i 1.50763 + 0.479072i
\(739\) 9.34861 + 16.1923i 0.343894 + 0.595643i 0.985152 0.171683i \(-0.0549205\pi\)
−0.641258 + 0.767325i \(0.721587\pi\)
\(740\) −0.00549867 + 0.00461394i −0.000202135 + 0.000169612i
\(741\) −1.01920 + 0.201543i −0.0374412 + 0.00740388i
\(742\) 57.9870 + 34.9399i 2.12877 + 1.28268i
\(743\) 10.5297 3.83249i 0.386296 0.140600i −0.141569 0.989928i \(-0.545215\pi\)
0.527865 + 0.849328i \(0.322993\pi\)
\(744\) −3.20865 + 9.41767i −0.117635 + 0.345268i
\(745\) −0.0120807 0.00439701i −0.000442602 0.000161094i
\(746\) 17.0263 + 29.4904i 0.623377 + 1.07972i
\(747\) −9.48163 + 3.90253i −0.346915 + 0.142786i
\(748\) 10.1347 + 17.5537i 0.370560 + 0.641829i
\(749\) −1.59006 4.63652i −0.0580997 0.169415i
\(750\) −0.00117526 0.0567804i −4.29145e−5 0.00207333i
\(751\) 18.5416 6.74860i 0.676594 0.246260i 0.0192094 0.999815i \(-0.493885\pi\)
0.657384 + 0.753556i \(0.271663\pi\)
\(752\) −17.9258 + 6.52445i −0.653686 + 0.237922i
\(753\) −5.22720 + 6.49802i −0.190490 + 0.236801i
\(754\) 9.99077 + 56.6605i 0.363842 + 2.06345i
\(755\) 0.0215159 0.000783043
\(756\) 15.8153 + 4.99067i 0.575196 + 0.181509i
\(757\) −5.30078 −0.192660 −0.0963300 0.995349i \(-0.530710\pi\)
−0.0963300 + 0.995349i \(0.530710\pi\)
\(758\) −6.71543 38.0851i −0.243915 1.38331i
\(759\) −19.6100 3.04077i −0.711796 0.110373i
\(760\) −0.000277805 0 0.000101113i −1.00771e−5 0 3.66775e-6i
\(761\) −18.0471 + 6.56861i −0.654207 + 0.238112i −0.647733 0.761867i \(-0.724283\pi\)
−0.00647355 + 0.999979i \(0.502061\pi\)
\(762\) −35.4186 19.4830i −1.28308 0.705794i
\(763\) 12.0639 13.8433i 0.436741 0.501159i
\(764\) −2.21617 3.83852i −0.0801782 0.138873i
\(765\) −0.0315831 + 0.00130800i −0.00114189 + 4.72907e-5i
\(766\) −20.1773 34.9480i −0.729034 1.26272i