Properties

Label 966.2.y.a.25.8
Level $966$
Weight $2$
Character 966.25
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(25,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 44, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.y (of order \(33\), degree \(20\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(8\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 25.8
Character \(\chi\) \(=\) 966.25
Dual form 966.2.y.a.541.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0475819 + 0.998867i) q^{2} +(-0.928368 - 0.371662i) q^{3} +(-0.995472 - 0.0950560i) q^{4} +(0.779910 + 3.21483i) q^{5} +(0.415415 - 0.909632i) q^{6} +(0.591550 + 2.57877i) q^{7} +(0.142315 - 0.989821i) q^{8} +(0.723734 + 0.690079i) q^{9} +O(q^{10})\) \(q+(-0.0475819 + 0.998867i) q^{2} +(-0.928368 - 0.371662i) q^{3} +(-0.995472 - 0.0950560i) q^{4} +(0.779910 + 3.21483i) q^{5} +(0.415415 - 0.909632i) q^{6} +(0.591550 + 2.57877i) q^{7} +(0.142315 - 0.989821i) q^{8} +(0.723734 + 0.690079i) q^{9} +(-3.24830 + 0.626059i) q^{10} +(0.0898818 + 1.88685i) q^{11} +(0.888835 + 0.458227i) q^{12} +(1.55962 + 1.79990i) q^{13} +(-2.60400 + 0.468177i) q^{14} +(0.470789 - 3.27441i) q^{15} +(0.981929 + 0.189251i) q^{16} +(-1.10524 - 1.55209i) q^{17} +(-0.723734 + 0.690079i) q^{18} +(-1.89014 + 2.65433i) q^{19} +(-0.470789 - 3.27441i) q^{20} +(0.409257 - 2.61391i) q^{21} -1.88899 q^{22} +(4.77709 - 0.423611i) q^{23} +(-0.500000 + 0.866025i) q^{24} +(-5.28271 + 2.72343i) q^{25} +(-1.87207 + 1.47221i) q^{26} +(-0.415415 - 0.909632i) q^{27} +(-0.343743 - 2.62333i) q^{28} +(1.99617 - 4.37101i) q^{29} +(3.24830 + 0.626059i) q^{30} +(2.78482 + 2.19001i) q^{31} +(-0.235759 + 0.971812i) q^{32} +(0.617828 - 1.78510i) q^{33} +(1.60293 - 1.03014i) q^{34} +(-7.82897 + 3.91294i) q^{35} +(-0.654861 - 0.755750i) q^{36} +(-3.64125 - 3.47193i) q^{37} +(-2.56139 - 2.01430i) q^{38} +(-0.778949 - 2.25063i) q^{39} +(3.29310 - 0.314453i) q^{40} +(-5.64532 - 1.65762i) q^{41} +(2.59147 + 0.533168i) q^{42} +(1.32455 + 9.21245i) q^{43} +(0.0898818 - 1.88685i) q^{44} +(-1.65404 + 2.86488i) q^{45} +(0.195828 + 4.79183i) q^{46} +(0.703579 + 1.21863i) q^{47} +(-0.841254 - 0.540641i) q^{48} +(-6.30014 + 3.05095i) q^{49} +(-2.46898 - 5.40631i) q^{50} +(0.449215 + 1.85169i) q^{51} +(-1.38147 - 1.94000i) q^{52} +(-3.93523 - 11.3701i) q^{53} +(0.928368 - 0.371662i) q^{54} +(-5.99581 + 1.76053i) q^{55} +(2.63671 - 0.218531i) q^{56} +(2.74126 - 1.76170i) q^{57} +(4.27108 + 2.20189i) q^{58} +(4.03202 - 0.777108i) q^{59} +(-0.779910 + 3.21483i) q^{60} +(-8.85975 + 3.54691i) q^{61} +(-2.32003 + 2.67746i) q^{62} +(-1.35143 + 2.27456i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(-4.57002 + 6.41769i) q^{65} +(1.75368 + 0.702067i) q^{66} +(-4.62095 + 2.38226i) q^{67} +(0.952701 + 1.65013i) q^{68} +(-4.59233 - 1.38220i) q^{69} +(-3.53599 - 8.00628i) q^{70} +(-1.54105 - 0.990372i) q^{71} +(0.786053 - 0.618159i) q^{72} +(2.64850 + 0.252901i) q^{73} +(3.64125 - 3.47193i) q^{74} +(5.91649 - 0.564957i) q^{75} +(2.13389 - 2.46264i) q^{76} +(-4.81259 + 1.34795i) q^{77} +(2.28514 - 0.670978i) q^{78} +(0.901623 - 2.60507i) q^{79} +(0.157405 + 3.30433i) q^{80} +(0.0475819 + 0.998867i) q^{81} +(1.92435 - 5.56005i) q^{82} +(-2.87077 + 0.842933i) q^{83} +(-0.655872 + 2.56317i) q^{84} +(4.12773 - 4.76366i) q^{85} +(-9.26504 + 0.884704i) q^{86} +(-3.47772 + 3.31600i) q^{87} +(1.88044 + 0.179560i) q^{88} +(-1.64271 + 1.29184i) q^{89} +(-2.78294 - 1.78848i) q^{90} +(-3.71894 + 5.08665i) q^{91} +(-4.79572 - 0.0323979i) q^{92} +(-1.77139 - 3.06815i) q^{93} +(-1.25073 + 0.644797i) q^{94} +(-10.0074 - 4.00634i) q^{95} +(0.580057 - 0.814576i) q^{96} +(-4.24876 - 1.24755i) q^{97} +(-2.74772 - 6.43817i) q^{98} +(-1.23703 + 1.42760i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 8 q^{2} - 8 q^{3} + 8 q^{4} + 2 q^{5} - 16 q^{6} - 2 q^{7} + 16 q^{8} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 8 q^{2} - 8 q^{3} + 8 q^{4} + 2 q^{5} - 16 q^{6} - 2 q^{7} + 16 q^{8} + 8 q^{9} - 2 q^{10} + 4 q^{11} - 8 q^{12} + 4 q^{13} - 9 q^{14} - 18 q^{15} + 8 q^{16} + 9 q^{17} - 8 q^{18} + 18 q^{20} + 7 q^{21} + 52 q^{22} + 22 q^{23} - 80 q^{24} + 42 q^{25} + 2 q^{26} + 16 q^{27} - 18 q^{28} - 54 q^{29} + 2 q^{30} - 15 q^{31} - 8 q^{32} + 18 q^{33} + 84 q^{34} + 82 q^{35} - 16 q^{36} + 3 q^{37} + 11 q^{38} + 2 q^{39} - 13 q^{40} + 22 q^{41} - 2 q^{42} - 96 q^{43} + 4 q^{44} - 20 q^{45} - 26 q^{47} + 16 q^{48} - 2 q^{49} - 4 q^{50} + 13 q^{51} - 2 q^{52} + 16 q^{53} + 8 q^{54} - 34 q^{55} + 2 q^{56} - 22 q^{57} - 5 q^{58} - 6 q^{59} - 2 q^{60} + 40 q^{61} - 8 q^{62} - 2 q^{63} - 16 q^{64} - 82 q^{65} + 4 q^{66} + 10 q^{67} - 46 q^{68} - 22 q^{69} + 100 q^{70} + 92 q^{71} - 8 q^{72} + 68 q^{73} - 3 q^{74} + 2 q^{75} - 7 q^{77} - 18 q^{78} - 78 q^{79} + 2 q^{80} + 8 q^{81} + 55 q^{82} - 42 q^{83} - 9 q^{84} + 50 q^{85} + 40 q^{86} + 6 q^{87} + 7 q^{88} - 80 q^{89} + 4 q^{90} - 62 q^{91} + 66 q^{92} + 26 q^{93} + 4 q^{94} - 17 q^{95} + 8 q^{96} - 8 q^{97} - 3 q^{98} + 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0475819 + 0.998867i −0.0336455 + 0.706306i
\(3\) −0.928368 0.371662i −0.535993 0.214579i
\(4\) −0.995472 0.0950560i −0.497736 0.0475280i
\(5\) 0.779910 + 3.21483i 0.348786 + 1.43772i 0.828351 + 0.560210i \(0.189280\pi\)
−0.479564 + 0.877507i \(0.659205\pi\)
\(6\) 0.415415 0.909632i 0.169592 0.371356i
\(7\) 0.591550 + 2.57877i 0.223585 + 0.974684i
\(8\) 0.142315 0.989821i 0.0503159 0.349955i
\(9\) 0.723734 + 0.690079i 0.241245 + 0.230026i
\(10\) −3.24830 + 0.626059i −1.02720 + 0.197977i
\(11\) 0.0898818 + 1.88685i 0.0271004 + 0.568907i 0.971058 + 0.238842i \(0.0767677\pi\)
−0.943958 + 0.330065i \(0.892929\pi\)
\(12\) 0.888835 + 0.458227i 0.256585 + 0.132279i
\(13\) 1.55962 + 1.79990i 0.432562 + 0.499203i 0.929623 0.368513i \(-0.120133\pi\)
−0.497061 + 0.867716i \(0.665587\pi\)
\(14\) −2.60400 + 0.468177i −0.695948 + 0.125126i
\(15\) 0.470789 3.27441i 0.121557 0.845449i
\(16\) 0.981929 + 0.189251i 0.245482 + 0.0473128i
\(17\) −1.10524 1.55209i −0.268060 0.376438i 0.658502 0.752579i \(-0.271190\pi\)
−0.926563 + 0.376141i \(0.877251\pi\)
\(18\) −0.723734 + 0.690079i −0.170586 + 0.162653i
\(19\) −1.89014 + 2.65433i −0.433628 + 0.608945i −0.972347 0.233540i \(-0.924969\pi\)
0.538720 + 0.842485i \(0.318908\pi\)
\(20\) −0.470789 3.27441i −0.105272 0.732180i
\(21\) 0.409257 2.61391i 0.0893072 0.570401i
\(22\) −1.88899 −0.402734
\(23\) 4.77709 0.423611i 0.996091 0.0883290i
\(24\) −0.500000 + 0.866025i −0.102062 + 0.176777i
\(25\) −5.28271 + 2.72343i −1.05654 + 0.544685i
\(26\) −1.87207 + 1.47221i −0.367144 + 0.288725i
\(27\) −0.415415 0.909632i −0.0799467 0.175059i
\(28\) −0.343743 2.62333i −0.0649614 0.495762i
\(29\) 1.99617 4.37101i 0.370680 0.811676i −0.628740 0.777616i \(-0.716429\pi\)
0.999420 0.0340605i \(-0.0108439\pi\)
\(30\) 3.24830 + 0.626059i 0.593056 + 0.114302i
\(31\) 2.78482 + 2.19001i 0.500169 + 0.393337i 0.836124 0.548541i \(-0.184817\pi\)
−0.335955 + 0.941878i \(0.609059\pi\)
\(32\) −0.235759 + 0.971812i −0.0416767 + 0.171794i
\(33\) 0.617828 1.78510i 0.107550 0.310746i
\(34\) 1.60293 1.03014i 0.274899 0.176667i
\(35\) −7.82897 + 3.91294i −1.32334 + 0.661408i
\(36\) −0.654861 0.755750i −0.109143 0.125958i
\(37\) −3.64125 3.47193i −0.598619 0.570782i 0.328991 0.944333i \(-0.393291\pi\)
−0.927609 + 0.373551i \(0.878140\pi\)
\(38\) −2.56139 2.01430i −0.415512 0.326762i
\(39\) −0.778949 2.25063i −0.124732 0.360388i
\(40\) 3.29310 0.314453i 0.520685 0.0497194i
\(41\) −5.64532 1.65762i −0.881651 0.258876i −0.190587 0.981670i \(-0.561039\pi\)
−0.691063 + 0.722794i \(0.742857\pi\)
\(42\) 2.59147 + 0.533168i 0.399873 + 0.0822696i
\(43\) 1.32455 + 9.21245i 0.201992 + 1.40488i 0.798363 + 0.602176i \(0.205700\pi\)
−0.596371 + 0.802709i \(0.703391\pi\)
\(44\) 0.0898818 1.88685i 0.0135502 0.284454i
\(45\) −1.65404 + 2.86488i −0.246570 + 0.427072i
\(46\) 0.195828 + 4.79183i 0.0288733 + 0.706517i
\(47\) 0.703579 + 1.21863i 0.102628 + 0.177756i 0.912766 0.408482i \(-0.133942\pi\)
−0.810139 + 0.586238i \(0.800608\pi\)
\(48\) −0.841254 0.540641i −0.121424 0.0780348i
\(49\) −6.30014 + 3.05095i −0.900020 + 0.435849i
\(50\) −2.46898 5.40631i −0.349166 0.764568i
\(51\) 0.449215 + 1.85169i 0.0629027 + 0.259289i
\(52\) −1.38147 1.94000i −0.191575 0.269030i
\(53\) −3.93523 11.3701i −0.540546 1.56181i −0.802455 0.596713i \(-0.796473\pi\)
0.261909 0.965093i \(-0.415648\pi\)
\(54\) 0.928368 0.371662i 0.126335 0.0505769i
\(55\) −5.99581 + 1.76053i −0.808475 + 0.237390i
\(56\) 2.63671 0.218531i 0.352345 0.0292025i
\(57\) 2.74126 1.76170i 0.363089 0.233343i
\(58\) 4.27108 + 2.20189i 0.560820 + 0.289123i
\(59\) 4.03202 0.777108i 0.524924 0.101171i 0.0800965 0.996787i \(-0.474477\pi\)
0.444827 + 0.895616i \(0.353265\pi\)
\(60\) −0.779910 + 3.21483i −0.100686 + 0.415033i
\(61\) −8.85975 + 3.54691i −1.13437 + 0.454135i −0.861421 0.507892i \(-0.830425\pi\)
−0.272954 + 0.962027i \(0.588001\pi\)
\(62\) −2.32003 + 2.67746i −0.294645 + 0.340038i
\(63\) −1.35143 + 2.27456i −0.170264 + 0.286568i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) −4.57002 + 6.41769i −0.566841 + 0.796017i
\(66\) 1.75368 + 0.702067i 0.215863 + 0.0864185i
\(67\) −4.62095 + 2.38226i −0.564538 + 0.291040i −0.716775 0.697304i \(-0.754383\pi\)
0.152237 + 0.988344i \(0.451352\pi\)
\(68\) 0.952701 + 1.65013i 0.115532 + 0.200107i
\(69\) −4.59233 1.38220i −0.552852 0.166397i
\(70\) −3.53599 8.00628i −0.422632 0.956934i
\(71\) −1.54105 0.990372i −0.182889 0.117536i 0.445993 0.895037i \(-0.352851\pi\)
−0.628882 + 0.777501i \(0.716487\pi\)
\(72\) 0.786053 0.618159i 0.0926372 0.0728507i
\(73\) 2.64850 + 0.252901i 0.309984 + 0.0295999i 0.248889 0.968532i \(-0.419935\pi\)
0.0610951 + 0.998132i \(0.480541\pi\)
\(74\) 3.64125 3.47193i 0.423287 0.403604i
\(75\) 5.91649 0.564957i 0.683178 0.0652356i
\(76\) 2.13389 2.46264i 0.244774 0.282484i
\(77\) −4.81259 + 1.34795i −0.548446 + 0.153613i
\(78\) 2.28514 0.670978i 0.258741 0.0759733i
\(79\) 0.901623 2.60507i 0.101440 0.293093i −0.882849 0.469658i \(-0.844377\pi\)
0.984289 + 0.176565i \(0.0564985\pi\)
\(80\) 0.157405 + 3.30433i 0.0175984 + 0.369436i
\(81\) 0.0475819 + 0.998867i 0.00528688 + 0.110985i
\(82\) 1.92435 5.56005i 0.212509 0.614005i
\(83\) −2.87077 + 0.842933i −0.315108 + 0.0925239i −0.435462 0.900207i \(-0.643415\pi\)
0.120355 + 0.992731i \(0.461597\pi\)
\(84\) −0.655872 + 2.56317i −0.0715614 + 0.279665i
\(85\) 4.12773 4.76366i 0.447716 0.516691i
\(86\) −9.26504 + 0.884704i −0.999075 + 0.0954001i
\(87\) −3.47772 + 3.31600i −0.372851 + 0.355513i
\(88\) 1.88044 + 0.179560i 0.200455 + 0.0191412i
\(89\) −1.64271 + 1.29184i −0.174127 + 0.136935i −0.701419 0.712749i \(-0.747450\pi\)
0.527292 + 0.849684i \(0.323207\pi\)
\(90\) −2.78294 1.78848i −0.293347 0.188523i
\(91\) −3.71894 + 5.08665i −0.389851 + 0.533226i
\(92\) −4.79572 0.0323979i −0.499989 0.00337772i
\(93\) −1.77139 3.06815i −0.183685 0.318152i
\(94\) −1.25073 + 0.644797i −0.129003 + 0.0665058i
\(95\) −10.0074 4.00634i −1.02673 0.411042i
\(96\) 0.580057 0.814576i 0.0592018 0.0831373i
\(97\) −4.24876 1.24755i −0.431396 0.126669i 0.0588234 0.998268i \(-0.481265\pi\)
−0.490219 + 0.871599i \(0.663083\pi\)
\(98\) −2.74772 6.43817i −0.277561 0.650354i
\(99\) −1.23703 + 1.42760i −0.124326 + 0.143480i
\(100\) 5.51767 2.20894i 0.551767 0.220894i
\(101\) 0.959003 3.95306i 0.0954244 0.393345i −0.903990 0.427553i \(-0.859376\pi\)
0.999415 + 0.0342083i \(0.0108910\pi\)
\(102\) −1.87097 + 0.360600i −0.185253 + 0.0357047i
\(103\) 12.1204 + 6.24851i 1.19426 + 0.615684i 0.936549 0.350537i \(-0.114001\pi\)
0.257712 + 0.966222i \(0.417031\pi\)
\(104\) 2.00354 1.28760i 0.196463 0.126259i
\(105\) 8.72245 0.722919i 0.851224 0.0705497i
\(106\) 11.5445 3.38977i 1.12130 0.329243i
\(107\) −17.6258 + 7.05631i −1.70395 + 0.682160i −0.999616 0.0277069i \(-0.991179\pi\)
−0.704336 + 0.709866i \(0.748755\pi\)
\(108\) 0.327068 + 0.945001i 0.0314721 + 0.0909327i
\(109\) 4.25412 + 5.97408i 0.407471 + 0.572213i 0.966413 0.256994i \(-0.0827320\pi\)
−0.558942 + 0.829207i \(0.688793\pi\)
\(110\) −1.47324 6.07279i −0.140468 0.579018i
\(111\) 2.09004 + 4.57655i 0.198378 + 0.434386i
\(112\) 0.0928239 + 2.64412i 0.00877103 + 0.249846i
\(113\) 7.13986 + 4.58851i 0.671661 + 0.431651i 0.831524 0.555489i \(-0.187469\pi\)
−0.159863 + 0.987139i \(0.551105\pi\)
\(114\) 1.62927 + 2.82198i 0.152595 + 0.264302i
\(115\) 5.08754 + 15.0272i 0.474415 + 1.40129i
\(116\) −2.40263 + 4.16147i −0.223078 + 0.386383i
\(117\) −0.113322 + 2.37891i −0.0104766 + 0.219931i
\(118\) 0.584376 + 4.06443i 0.0537962 + 0.374161i
\(119\) 3.34869 3.76831i 0.306974 0.345440i
\(120\) −3.17408 0.931994i −0.289753 0.0850791i
\(121\) 7.39806 0.706429i 0.672551 0.0642208i
\(122\) −3.12133 9.01848i −0.282592 0.816495i
\(123\) 4.62486 + 3.63703i 0.417010 + 0.327940i
\(124\) −2.56404 2.44480i −0.230257 0.219550i
\(125\) −2.04373 2.35859i −0.182797 0.210959i
\(126\) −2.20768 1.45813i −0.196676 0.129900i
\(127\) 6.05448 3.89098i 0.537248 0.345269i −0.243713 0.969847i \(-0.578366\pi\)
0.780962 + 0.624579i \(0.214729\pi\)
\(128\) 0.327068 0.945001i 0.0289090 0.0835271i
\(129\) 2.19425 9.04483i 0.193193 0.796352i
\(130\) −6.19297 4.87021i −0.543160 0.427145i
\(131\) 5.89668 + 1.13649i 0.515195 + 0.0992957i 0.440221 0.897890i \(-0.354900\pi\)
0.0749747 + 0.997185i \(0.476112\pi\)
\(132\) −0.784715 + 1.71829i −0.0683007 + 0.149558i
\(133\) −7.96302 3.30407i −0.690481 0.286499i
\(134\) −2.15969 4.72906i −0.186569 0.408529i
\(135\) 2.60033 2.04492i 0.223801 0.175999i
\(136\) −1.69359 + 0.873105i −0.145224 + 0.0748682i
\(137\) 8.81083 15.2608i 0.752760 1.30382i −0.193720 0.981057i \(-0.562055\pi\)
0.946480 0.322762i \(-0.104611\pi\)
\(138\) 1.59914 4.52136i 0.136128 0.384884i
\(139\) 21.0157 1.78253 0.891265 0.453482i \(-0.149818\pi\)
0.891265 + 0.453482i \(0.149818\pi\)
\(140\) 8.16546 3.15104i 0.690108 0.266311i
\(141\) −0.200260 1.39284i −0.0168649 0.117298i
\(142\) 1.06258 1.49218i 0.0891695 0.125221i
\(143\) −3.25597 + 3.10456i −0.272278 + 0.259616i
\(144\) 0.580057 + 0.814576i 0.0483381 + 0.0678813i
\(145\) 15.6089 + 3.00837i 1.29625 + 0.249831i
\(146\) −0.378636 + 2.63347i −0.0313361 + 0.217948i
\(147\) 6.98277 0.490876i 0.575929 0.0404867i
\(148\) 3.29474 + 3.80233i 0.270826 + 0.312550i
\(149\) −7.28180 3.75403i −0.596548 0.307542i 0.133381 0.991065i \(-0.457417\pi\)
−0.729929 + 0.683523i \(0.760447\pi\)
\(150\) 0.282799 + 5.93667i 0.0230904 + 0.484727i
\(151\) 13.2376 2.55135i 1.07726 0.207626i 0.380395 0.924824i \(-0.375788\pi\)
0.696869 + 0.717199i \(0.254576\pi\)
\(152\) 2.35832 + 2.24865i 0.191285 + 0.182390i
\(153\) 0.271167 1.88601i 0.0219225 0.152475i
\(154\) −1.11743 4.87128i −0.0900453 0.392539i
\(155\) −4.86860 + 10.6607i −0.391055 + 0.856291i
\(156\) 0.561486 + 2.31448i 0.0449549 + 0.185307i
\(157\) −16.4507 1.57085i −1.31291 0.125368i −0.584996 0.811036i \(-0.698904\pi\)
−0.727914 + 0.685668i \(0.759510\pi\)
\(158\) 2.55922 + 1.02456i 0.203600 + 0.0815093i
\(159\) −0.572499 + 12.0182i −0.0454021 + 0.953107i
\(160\) −3.30808 −0.261527
\(161\) 3.91828 + 12.0684i 0.308804 + 0.951126i
\(162\) −1.00000 −0.0785674
\(163\) 1.02437 21.5042i 0.0802348 1.68434i −0.496994 0.867754i \(-0.665563\pi\)
0.577229 0.816583i \(-0.304134\pi\)
\(164\) 5.46219 + 2.18673i 0.426525 + 0.170755i
\(165\) 6.22064 + 0.593999i 0.484276 + 0.0462428i
\(166\) −0.705382 2.90762i −0.0547482 0.225675i
\(167\) 4.70983 10.3131i 0.364457 0.798050i −0.635212 0.772338i \(-0.719087\pi\)
0.999669 0.0257126i \(-0.00818548\pi\)
\(168\) −2.52906 0.777089i −0.195121 0.0599537i
\(169\) 1.04287 7.25334i 0.0802209 0.557949i
\(170\) 4.56186 + 4.34972i 0.349878 + 0.333608i
\(171\) −3.19965 + 0.616683i −0.244684 + 0.0471589i
\(172\) −0.442853 9.29664i −0.0337673 0.708862i
\(173\) 13.2725 + 6.84244i 1.00909 + 0.520221i 0.881789 0.471643i \(-0.156339\pi\)
0.127299 + 0.991864i \(0.459369\pi\)
\(174\) −3.14677 3.63157i −0.238556 0.275308i
\(175\) −10.1481 12.0119i −0.767123 0.908011i
\(176\) −0.268831 + 1.86976i −0.0202639 + 0.140939i
\(177\) −4.03202 0.777108i −0.303065 0.0584110i
\(178\) −1.21222 1.70232i −0.0908594 0.127594i
\(179\) 1.93780 1.84769i 0.144838 0.138103i −0.614197 0.789153i \(-0.710520\pi\)
0.759035 + 0.651050i \(0.225671\pi\)
\(180\) 1.91888 2.69468i 0.143025 0.200850i
\(181\) 2.19248 + 15.2490i 0.162966 + 1.13345i 0.893005 + 0.450046i \(0.148592\pi\)
−0.730040 + 0.683405i \(0.760498\pi\)
\(182\) −4.90393 3.95676i −0.363504 0.293295i
\(183\) 9.54336 0.705465
\(184\) 0.260551 4.78875i 0.0192081 0.353031i
\(185\) 8.32182 14.4138i 0.611832 1.05972i
\(186\) 3.14896 1.62340i 0.230893 0.119033i
\(187\) 2.82923 2.22493i 0.206894 0.162703i
\(188\) −0.584555 1.28000i −0.0426330 0.0933533i
\(189\) 2.10000 1.60935i 0.152752 0.117063i
\(190\) 4.47797 9.80539i 0.324866 0.711358i
\(191\) −12.6930 2.44638i −0.918437 0.177014i −0.291939 0.956437i \(-0.594300\pi\)
−0.626498 + 0.779423i \(0.715512\pi\)
\(192\) 0.786053 + 0.618159i 0.0567285 + 0.0446118i
\(193\) 0.566603 2.33557i 0.0407850 0.168118i −0.947777 0.318934i \(-0.896675\pi\)
0.988562 + 0.150816i \(0.0481902\pi\)
\(194\) 1.44830 4.18458i 0.103982 0.300436i
\(195\) 6.62787 4.25948i 0.474632 0.305027i
\(196\) 6.56162 2.43826i 0.468687 0.174162i
\(197\) 3.56224 + 4.11105i 0.253799 + 0.292900i 0.868324 0.495998i \(-0.165198\pi\)
−0.614525 + 0.788898i \(0.710652\pi\)
\(198\) −1.36713 1.30355i −0.0971575 0.0926395i
\(199\) 17.4607 + 13.7313i 1.23776 + 0.973385i 0.999998 + 0.00206127i \(0.000656122\pi\)
0.237762 + 0.971324i \(0.423586\pi\)
\(200\) 1.94390 + 5.61652i 0.137454 + 0.397148i
\(201\) 5.17534 0.494185i 0.365040 0.0348571i
\(202\) 3.90295 + 1.14601i 0.274611 + 0.0806331i
\(203\) 12.4527 + 2.56201i 0.874007 + 0.179818i
\(204\) −0.271167 1.88601i −0.0189855 0.132047i
\(205\) 0.926115 19.4415i 0.0646827 1.35786i
\(206\) −6.81815 + 11.8094i −0.475043 + 0.822799i
\(207\) 3.74967 + 2.98999i 0.260620 + 0.207818i
\(208\) 1.19081 + 2.06254i 0.0825675 + 0.143011i
\(209\) −5.17821 3.32783i −0.358184 0.230191i
\(210\) 0.307069 + 8.74697i 0.0211898 + 0.603598i
\(211\) 6.58159 + 14.4117i 0.453095 + 0.992141i 0.989007 + 0.147867i \(0.0472406\pi\)
−0.535912 + 0.844274i \(0.680032\pi\)
\(212\) 2.83662 + 11.6927i 0.194820 + 0.803058i
\(213\) 1.06258 + 1.49218i 0.0728066 + 0.102242i
\(214\) −6.20965 17.9416i −0.424483 1.22646i
\(215\) −28.5834 + 11.4431i −1.94937 + 0.780412i
\(216\) −0.959493 + 0.281733i −0.0652852 + 0.0191695i
\(217\) −4.00017 + 8.47692i −0.271549 + 0.575451i
\(218\) −6.16973 + 3.96505i −0.417867 + 0.268547i
\(219\) −2.36479 1.21913i −0.159798 0.0823815i
\(220\) 6.13601 1.18262i 0.413690 0.0797321i
\(221\) 1.06986 4.41001i 0.0719664 0.296649i
\(222\) −4.67081 + 1.86991i −0.313484 + 0.125500i
\(223\) −12.6074 + 14.5497i −0.844253 + 0.974320i −0.999909 0.0134910i \(-0.995706\pi\)
0.155656 + 0.987811i \(0.450251\pi\)
\(224\) −2.64554 0.0330936i −0.176763 0.00221116i
\(225\) −5.70265 1.67445i −0.380177 0.111630i
\(226\) −4.92304 + 6.91344i −0.327476 + 0.459875i
\(227\) 19.1741 + 7.67616i 1.27263 + 0.509484i 0.906943 0.421253i \(-0.138410\pi\)
0.365688 + 0.930738i \(0.380834\pi\)
\(228\) −2.89631 + 1.49315i −0.191813 + 0.0988862i
\(229\) −4.47681 7.75405i −0.295836 0.512402i 0.679343 0.733821i \(-0.262265\pi\)
−0.975179 + 0.221418i \(0.928931\pi\)
\(230\) −15.2522 + 4.36675i −1.00570 + 0.287935i
\(231\) 4.96884 + 0.537264i 0.326926 + 0.0353494i
\(232\) −4.04244 2.59792i −0.265399 0.170562i
\(233\) −1.60379 + 1.26124i −0.105068 + 0.0826263i −0.669311 0.742982i \(-0.733411\pi\)
0.564243 + 0.825609i \(0.309168\pi\)
\(234\) −2.37083 0.226387i −0.154986 0.0147994i
\(235\) −3.36898 + 3.21231i −0.219768 + 0.209548i
\(236\) −4.08763 + 0.390321i −0.266082 + 0.0254077i
\(237\) −1.80524 + 2.08336i −0.117263 + 0.135329i
\(238\) 3.60470 + 3.52420i 0.233658 + 0.228440i
\(239\) 19.7320 5.79384i 1.27636 0.374772i 0.427798 0.903874i \(-0.359289\pi\)
0.848558 + 0.529102i \(0.177471\pi\)
\(240\) 1.08197 3.12614i 0.0698407 0.201791i
\(241\) 1.12673 + 23.6529i 0.0725787 + 1.52362i 0.682343 + 0.731032i \(0.260961\pi\)
−0.609764 + 0.792583i \(0.708736\pi\)
\(242\) 0.353615 + 7.42330i 0.0227312 + 0.477188i
\(243\) 0.327068 0.945001i 0.0209814 0.0606218i
\(244\) 9.15678 2.68867i 0.586203 0.172125i
\(245\) −14.7218 17.8744i −0.940542 1.14195i
\(246\) −3.85297 + 4.44656i −0.245656 + 0.283503i
\(247\) −7.72544 + 0.737690i −0.491558 + 0.0469381i
\(248\) 2.56404 2.44480i 0.162817 0.155245i
\(249\) 2.97841 + 0.284404i 0.188749 + 0.0180234i
\(250\) 2.45316 1.92919i 0.155152 0.122013i
\(251\) −10.8298 6.95990i −0.683572 0.439305i 0.152223 0.988346i \(-0.451357\pi\)
−0.835795 + 0.549041i \(0.814993\pi\)
\(252\) 1.56152 2.13580i 0.0983667 0.134543i
\(253\) 1.22866 + 8.97558i 0.0772455 + 0.564290i
\(254\) 3.59849 + 6.23277i 0.225789 + 0.391078i
\(255\) −5.60253 + 2.88830i −0.350844 + 0.180873i
\(256\) 0.928368 + 0.371662i 0.0580230 + 0.0232289i
\(257\) 5.31046 7.45749i 0.331257 0.465186i −0.615034 0.788500i \(-0.710858\pi\)
0.946291 + 0.323315i \(0.104797\pi\)
\(258\) 8.93017 + 2.62214i 0.555968 + 0.163247i
\(259\) 6.79933 11.4438i 0.422490 0.711082i
\(260\) 5.15936 5.95422i 0.319970 0.369265i
\(261\) 4.46104 1.78593i 0.276132 0.110546i
\(262\) −1.41578 + 5.83592i −0.0874672 + 0.360545i
\(263\) −27.1131 + 5.22562i −1.67187 + 0.322226i −0.935224 0.354058i \(-0.884802\pi\)
−0.736642 + 0.676283i \(0.763590\pi\)
\(264\) −1.67900 0.865586i −0.103335 0.0532731i
\(265\) 33.4839 21.5188i 2.05690 1.32189i
\(266\) 3.67922 7.79679i 0.225588 0.478052i
\(267\) 2.00517 0.588771i 0.122714 0.0360322i
\(268\) 4.82647 1.93223i 0.294824 0.118030i
\(269\) 9.54267 + 27.5717i 0.581827 + 1.68108i 0.722793 + 0.691064i \(0.242858\pi\)
−0.140966 + 0.990014i \(0.545021\pi\)
\(270\) 1.91888 + 2.69468i 0.116779 + 0.163993i
\(271\) 5.06418 + 20.8748i 0.307627 + 1.26806i 0.890310 + 0.455356i \(0.150488\pi\)
−0.582683 + 0.812700i \(0.697997\pi\)
\(272\) −0.791532 1.73321i −0.0479937 0.105092i
\(273\) 5.34306 3.34009i 0.323377 0.202151i
\(274\) 14.8243 + 9.52699i 0.895568 + 0.575547i
\(275\) −5.61352 9.72290i −0.338508 0.586313i
\(276\) 4.44015 + 1.81247i 0.267266 + 0.109098i
\(277\) −6.90514 + 11.9601i −0.414890 + 0.718610i −0.995417 0.0956306i \(-0.969513\pi\)
0.580527 + 0.814241i \(0.302847\pi\)
\(278\) −0.999969 + 20.9919i −0.0599741 + 1.25901i
\(279\) 0.504192 + 3.50673i 0.0301852 + 0.209942i
\(280\) 2.75894 + 8.30615i 0.164878 + 0.496387i
\(281\) 12.7314 + 3.73828i 0.759493 + 0.223007i 0.638474 0.769643i \(-0.279566\pi\)
0.121018 + 0.992650i \(0.461384\pi\)
\(282\) 1.40079 0.133759i 0.0834156 0.00796523i
\(283\) 0.488701 + 1.41201i 0.0290503 + 0.0839353i 0.958594 0.284778i \(-0.0919198\pi\)
−0.929543 + 0.368713i \(0.879799\pi\)
\(284\) 1.43993 + 1.13237i 0.0854442 + 0.0671940i
\(285\) 7.80150 + 7.43872i 0.462121 + 0.440632i
\(286\) −2.94612 3.40000i −0.174207 0.201046i
\(287\) 0.935125 15.5386i 0.0551987 0.917212i
\(288\) −0.841254 + 0.540641i −0.0495713 + 0.0318576i
\(289\) 4.37272 12.6341i 0.257219 0.743185i
\(290\) −3.74766 + 15.4481i −0.220070 + 0.907142i
\(291\) 3.48074 + 2.73729i 0.204045 + 0.160463i
\(292\) −2.61247 0.503513i −0.152883 0.0294658i
\(293\) −0.645235 + 1.41287i −0.0376950 + 0.0825406i −0.927543 0.373717i \(-0.878083\pi\)
0.889848 + 0.456258i \(0.150810\pi\)
\(294\) 0.158066 + 6.99822i 0.00921860 + 0.408144i
\(295\) 5.64288 + 12.3562i 0.328541 + 0.719405i
\(296\) −3.95479 + 3.11008i −0.229868 + 0.180770i
\(297\) 1.67900 0.865586i 0.0974256 0.0502264i
\(298\) 4.09626 7.09493i 0.237290 0.410998i
\(299\) 8.21292 + 7.93761i 0.474965 + 0.459044i
\(300\) −5.94340 −0.343143
\(301\) −22.9733 + 8.86534i −1.32416 + 0.510989i
\(302\) 1.91858 + 13.3440i 0.110402 + 0.767863i
\(303\) −2.35951 + 3.31347i −0.135550 + 0.190354i
\(304\) −2.35832 + 2.24865i −0.135259 + 0.128969i
\(305\) −18.3125 25.7163i −1.04857 1.47251i
\(306\) 1.87097 + 0.360600i 0.106956 + 0.0206141i
\(307\) −2.37592 + 16.5249i −0.135601 + 0.943125i 0.802473 + 0.596689i \(0.203517\pi\)
−0.938074 + 0.346436i \(0.887392\pi\)
\(308\) 4.91893 0.884382i 0.280282 0.0503923i
\(309\) −8.92988 10.3056i −0.508003 0.586267i
\(310\) −10.4170 5.37034i −0.591646 0.305015i
\(311\) 0.639644 + 13.4278i 0.0362709 + 0.761420i 0.941605 + 0.336720i \(0.109318\pi\)
−0.905334 + 0.424700i \(0.860379\pi\)
\(312\) −2.33857 + 0.450723i −0.132396 + 0.0255172i
\(313\) −13.2645 12.6477i −0.749753 0.714888i 0.215414 0.976523i \(-0.430890\pi\)
−0.965167 + 0.261635i \(0.915738\pi\)
\(314\) 2.35183 16.3573i 0.132721 0.923098i
\(315\) −8.36633 2.57067i −0.471389 0.144841i
\(316\) −1.14517 + 2.50757i −0.0644207 + 0.141062i
\(317\) −1.65847 6.83629i −0.0931488 0.383964i 0.906085 0.423095i \(-0.139056\pi\)
−0.999234 + 0.0391305i \(0.987541\pi\)
\(318\) −11.9774 1.14370i −0.671658 0.0641355i
\(319\) 8.42687 + 3.37361i 0.471814 + 0.188886i
\(320\) 0.157405 3.30433i 0.00879920 0.184718i
\(321\) 18.9858 1.05968
\(322\) −12.2412 + 3.33960i −0.682176 + 0.186109i
\(323\) 6.20883 0.345468
\(324\) 0.0475819 0.998867i 0.00264344 0.0554926i
\(325\) −13.1409 5.26084i −0.728928 0.291819i
\(326\) 21.4311 + 2.04642i 1.18696 + 0.113341i
\(327\) −1.72905 7.12724i −0.0956167 0.394137i
\(328\) −2.44416 + 5.35196i −0.134956 + 0.295512i
\(329\) −2.72638 + 2.53525i −0.150310 + 0.139773i
\(330\) −0.889316 + 6.18533i −0.0489552 + 0.340491i
\(331\) 3.80611 + 3.62912i 0.209203 + 0.199474i 0.787435 0.616398i \(-0.211409\pi\)
−0.578232 + 0.815872i \(0.696257\pi\)
\(332\) 2.93789 0.566233i 0.161238 0.0310761i
\(333\) −0.239394 5.02551i −0.0131187 0.275396i
\(334\) 10.0773 + 5.19521i 0.551405 + 0.284269i
\(335\) −11.2625 12.9976i −0.615336 0.710136i
\(336\) 0.896546 2.48922i 0.0489106 0.135798i
\(337\) 2.59219 18.0291i 0.141206 0.982108i −0.788823 0.614621i \(-0.789309\pi\)
0.930029 0.367487i \(-0.119782\pi\)
\(338\) 7.19550 + 1.38682i 0.391384 + 0.0754330i
\(339\) −4.92304 6.91344i −0.267383 0.375487i
\(340\) −4.56186 + 4.34972i −0.247401 + 0.235897i
\(341\) −3.88191 + 5.45138i −0.210217 + 0.295209i
\(342\) −0.463739 3.22537i −0.0250761 0.174408i
\(343\) −11.5945 14.4418i −0.626046 0.779786i
\(344\) 9.30718 0.501810
\(345\) 0.861924 15.8416i 0.0464044 0.852882i
\(346\) −7.46622 + 12.9319i −0.401386 + 0.695222i
\(347\) −13.1890 + 6.79938i −0.708020 + 0.365010i −0.774324 0.632790i \(-0.781910\pi\)
0.0663036 + 0.997799i \(0.478879\pi\)
\(348\) 3.77718 2.97041i 0.202478 0.159231i
\(349\) −4.53510 9.93047i −0.242758 0.531566i 0.748558 0.663070i \(-0.230747\pi\)
−0.991316 + 0.131504i \(0.958019\pi\)
\(350\) 12.4811 9.56504i 0.667144 0.511273i
\(351\) 0.989357 2.16639i 0.0528080 0.115633i
\(352\) −1.85485 0.357494i −0.0988641 0.0190545i
\(353\) 3.18987 + 2.50854i 0.169780 + 0.133516i 0.699434 0.714698i \(-0.253436\pi\)
−0.529654 + 0.848214i \(0.677678\pi\)
\(354\) 0.968079 3.99047i 0.0514528 0.212091i
\(355\) 1.98200 5.72662i 0.105194 0.303937i
\(356\) 1.75807 1.12984i 0.0931775 0.0598815i
\(357\) −4.50936 + 2.25379i −0.238660 + 0.119283i
\(358\) 1.75339 + 2.02352i 0.0926697 + 0.106947i
\(359\) −22.1392 21.1097i −1.16846 1.11413i −0.991527 0.129905i \(-0.958533\pi\)
−0.176936 0.984222i \(-0.556619\pi\)
\(360\) 2.60033 + 2.04492i 0.137049 + 0.107777i
\(361\) 2.74146 + 7.92092i 0.144287 + 0.416890i
\(362\) −15.3361 + 1.46442i −0.806046 + 0.0769681i
\(363\) −7.13068 2.09376i −0.374263 0.109894i
\(364\) 4.18562 4.71011i 0.219386 0.246877i
\(365\) 1.25256 + 8.71173i 0.0655619 + 0.455993i
\(366\) −0.454091 + 9.53255i −0.0237357 + 0.498274i
\(367\) −12.9639 + 22.4542i −0.676712 + 1.17210i 0.299254 + 0.954174i \(0.403262\pi\)
−0.975965 + 0.217925i \(0.930071\pi\)
\(368\) 4.77093 + 0.488114i 0.248702 + 0.0254447i
\(369\) −2.94182 5.09539i −0.153145 0.265255i
\(370\) 14.0015 + 8.99823i 0.727904 + 0.467796i
\(371\) 26.9930 16.8741i 1.40141 0.876058i
\(372\) 1.47173 + 3.22263i 0.0763055 + 0.167086i
\(373\) −1.69681 6.99435i −0.0878575 0.362153i 0.910864 0.412707i \(-0.135417\pi\)
−0.998721 + 0.0505534i \(0.983901\pi\)
\(374\) 2.08779 + 2.93189i 0.107957 + 0.151604i
\(375\) 1.02073 + 2.94921i 0.0527104 + 0.152297i
\(376\) 1.30636 0.522988i 0.0673704 0.0269710i
\(377\) 10.9807 3.22422i 0.565533 0.166056i
\(378\) 1.50761 + 2.17419i 0.0775430 + 0.111828i
\(379\) −24.6708 + 15.8549i −1.26725 + 0.814413i −0.989259 0.146170i \(-0.953305\pi\)
−0.277992 + 0.960583i \(0.589669\pi\)
\(380\) 9.58122 + 4.93946i 0.491506 + 0.253389i
\(381\) −7.06692 + 1.36204i −0.362049 + 0.0697793i
\(382\) 3.04757 12.5623i 0.155927 0.642742i
\(383\) −1.84890 + 0.740186i −0.0944741 + 0.0378217i −0.418418 0.908255i \(-0.637415\pi\)
0.323944 + 0.946076i \(0.394991\pi\)
\(384\) −0.654861 + 0.755750i −0.0334182 + 0.0385667i
\(385\) −8.08682 14.4204i −0.412143 0.734931i
\(386\) 2.30596 + 0.677092i 0.117370 + 0.0344631i
\(387\) −5.39869 + 7.58141i −0.274431 + 0.385384i
\(388\) 4.11093 + 1.64577i 0.208701 + 0.0835512i
\(389\) 25.2783 13.0319i 1.28166 0.660741i 0.323297 0.946297i \(-0.395209\pi\)
0.958362 + 0.285556i \(0.0921783\pi\)
\(390\) 3.93928 + 6.82304i 0.199473 + 0.345498i
\(391\) −5.93732 6.94629i −0.300263 0.351289i
\(392\) 2.12329 + 6.67021i 0.107242 + 0.336896i
\(393\) −5.05190 3.24666i −0.254834 0.163772i
\(394\) −4.27589 + 3.36260i −0.215416 + 0.169405i
\(395\) 9.07804 + 0.866848i 0.456766 + 0.0436158i
\(396\) 1.36713 1.30355i 0.0687007 0.0655060i
\(397\) 5.61528 0.536194i 0.281823 0.0269108i 0.0468124 0.998904i \(-0.485094\pi\)
0.235010 + 0.971993i \(0.424488\pi\)
\(398\) −14.5465 + 16.7876i −0.729152 + 0.841487i
\(399\) 6.16461 + 6.02695i 0.308617 + 0.301725i
\(400\) −5.70265 + 1.67445i −0.285133 + 0.0837225i
\(401\) 6.75139 19.5069i 0.337148 0.974126i −0.641238 0.767342i \(-0.721579\pi\)
0.978387 0.206784i \(-0.0662998\pi\)
\(402\) 0.247373 + 5.19299i 0.0123378 + 0.259003i
\(403\) 0.401475 + 8.42799i 0.0199989 + 0.419828i
\(404\) −1.33042 + 3.84400i −0.0661910 + 0.191246i
\(405\) −3.17408 + 0.931994i −0.157721 + 0.0463112i
\(406\) −3.15163 + 12.3167i −0.156413 + 0.611266i
\(407\) 6.22373 7.18257i 0.308499 0.356027i
\(408\) 1.89677 0.181120i 0.0939043 0.00896677i
\(409\) −11.2879 + 10.7630i −0.558150 + 0.532195i −0.915786 0.401666i \(-0.868431\pi\)
0.357636 + 0.933861i \(0.383583\pi\)
\(410\) 19.3755 + 1.85013i 0.956886 + 0.0913715i
\(411\) −13.8516 + 10.8930i −0.683247 + 0.537312i
\(412\) −11.4716 7.37234i −0.565164 0.363209i
\(413\) 4.38912 + 9.93796i 0.215975 + 0.489015i
\(414\) −3.16501 + 3.60315i −0.155552 + 0.177085i
\(415\) −4.94883 8.57162i −0.242928 0.420764i
\(416\) −2.11686 + 1.09132i −0.103788 + 0.0535063i
\(417\) −19.5103 7.81076i −0.955425 0.382494i
\(418\) 3.57045 5.01400i 0.174637 0.245243i
\(419\) −3.00485 0.882304i −0.146797 0.0431034i 0.207509 0.978233i \(-0.433464\pi\)
−0.354305 + 0.935130i \(0.615283\pi\)
\(420\) −8.75168 0.109476i −0.427038 0.00534191i
\(421\) 15.4166 17.7917i 0.751361 0.867117i −0.243339 0.969941i \(-0.578243\pi\)
0.994699 + 0.102825i \(0.0327881\pi\)
\(422\) −14.7085 + 5.88840i −0.715999 + 0.286643i
\(423\) −0.331750 + 1.36749i −0.0161302 + 0.0664898i
\(424\) −11.8144 + 2.27704i −0.573759 + 0.110583i
\(425\) 10.0657 + 5.18922i 0.488257 + 0.251714i
\(426\) −1.54105 + 0.990372i −0.0746641 + 0.0479837i
\(427\) −14.3877 20.7491i −0.696267 1.00412i
\(428\) 18.2168 5.34892i 0.880540 0.258550i
\(429\) 4.17658 1.67205i 0.201647 0.0807274i
\(430\) −10.0701 29.0955i −0.485622 1.40311i
\(431\) 0.909495 + 1.27721i 0.0438088 + 0.0615209i 0.835899 0.548883i \(-0.184947\pi\)
−0.792091 + 0.610404i \(0.791007\pi\)
\(432\) −0.235759 0.971812i −0.0113430 0.0467563i
\(433\) 13.3921 + 29.3245i 0.643581 + 1.40925i 0.897061 + 0.441906i \(0.145698\pi\)
−0.253480 + 0.967341i \(0.581575\pi\)
\(434\) −8.27698 4.39899i −0.397308 0.211158i
\(435\) −13.3727 8.59412i −0.641172 0.412056i
\(436\) −3.66699 6.35141i −0.175617 0.304177i
\(437\) −7.90495 + 13.4806i −0.378145 + 0.644866i
\(438\) 1.33028 2.30410i 0.0635630 0.110094i
\(439\) 1.15144 24.1717i 0.0549552 1.15365i −0.788003 0.615672i \(-0.788885\pi\)
0.842958 0.537980i \(-0.180812\pi\)
\(440\) 0.889316 + 6.18533i 0.0423965 + 0.294874i
\(441\) −6.66502 2.13952i −0.317382 0.101882i
\(442\) 4.35411 + 1.27848i 0.207104 + 0.0608112i
\(443\) −23.0167 + 2.19783i −1.09356 + 0.104422i −0.626211 0.779653i \(-0.715395\pi\)
−0.467345 + 0.884075i \(0.654789\pi\)
\(444\) −1.64555 4.75449i −0.0780942 0.225638i
\(445\) −5.43422 4.27352i −0.257607 0.202584i
\(446\) −13.9333 13.2854i −0.659763 0.629083i
\(447\) 5.36496 + 6.19149i 0.253754 + 0.292847i
\(448\) 0.158936 2.64097i 0.00750903 0.124774i
\(449\) 20.6899 13.2966i 0.976416 0.627504i 0.0479215 0.998851i \(-0.484740\pi\)
0.928494 + 0.371347i \(0.121104\pi\)
\(450\) 1.94390 5.61652i 0.0916362 0.264765i
\(451\) 2.62026 10.8009i 0.123383 0.508593i
\(452\) −6.67136 5.24642i −0.313795 0.246771i
\(453\) −13.2376 2.55135i −0.621958 0.119873i
\(454\) −8.57980 + 18.7871i −0.402670 + 0.881725i
\(455\) −19.2532 7.98865i −0.902602 0.374514i
\(456\) −1.35365 2.96407i −0.0633903 0.138805i
\(457\) −14.7149 + 11.5719i −0.688335 + 0.541313i −0.899924 0.436046i \(-0.856378\pi\)
0.211589 + 0.977359i \(0.432136\pi\)
\(458\) 7.95829 4.10278i 0.371866 0.191710i
\(459\) −0.952701 + 1.65013i −0.0444683 + 0.0770213i
\(460\) −3.63608 15.4427i −0.169533 0.720020i
\(461\) 15.7880 0.735322 0.367661 0.929960i \(-0.380159\pi\)
0.367661 + 0.929960i \(0.380159\pi\)
\(462\) −0.773083 + 4.93765i −0.0359671 + 0.229720i
\(463\) −5.21744 36.2881i −0.242475 1.68645i −0.639616 0.768694i \(-0.720907\pi\)
0.397141 0.917758i \(-0.370002\pi\)
\(464\) 2.78732 3.91424i 0.129398 0.181714i
\(465\) 8.48204 8.08761i 0.393345 0.375054i
\(466\) −1.18350 1.66199i −0.0548244 0.0769901i
\(467\) 30.0914 + 5.79963i 1.39246 + 0.268375i 0.829684 0.558233i \(-0.188520\pi\)
0.562778 + 0.826608i \(0.309733\pi\)
\(468\) 0.338939 2.35737i 0.0156674 0.108969i
\(469\) −8.87684 10.5071i −0.409894 0.485175i
\(470\) −3.04837 3.51801i −0.140611 0.162274i
\(471\) 14.6885 + 7.57244i 0.676810 + 0.348920i
\(472\) −0.195382 4.10157i −0.00899318 0.188790i
\(473\) −17.2635 + 3.32726i −0.793775 + 0.152988i
\(474\) −1.99511 1.90233i −0.0916382 0.0873769i
\(475\) 2.75619 19.1697i 0.126462 0.879566i
\(476\) −3.69173 + 3.43293i −0.169210 + 0.157348i
\(477\) 4.99821 10.9446i 0.228852 0.501117i
\(478\) 4.84839 + 19.9853i 0.221760 + 0.914108i
\(479\) 20.5140 + 1.95885i 0.937309 + 0.0895022i 0.552518 0.833501i \(-0.313667\pi\)
0.384792 + 0.923003i \(0.374273\pi\)
\(480\) 3.07112 + 1.22949i 0.140177 + 0.0561183i
\(481\) 0.570145 11.9688i 0.0259964 0.545731i
\(482\) −23.6797 −1.07858
\(483\) 0.847776 12.6602i 0.0385751 0.576060i
\(484\) −7.43171 −0.337805
\(485\) 0.697009 14.6320i 0.0316495 0.664406i
\(486\) 0.928368 + 0.371662i 0.0421116 + 0.0168590i
\(487\) −8.09192 0.772685i −0.366680 0.0350137i −0.0899100 0.995950i \(-0.528658\pi\)
−0.276770 + 0.960936i \(0.589264\pi\)
\(488\) 2.24993 + 9.27434i 0.101850 + 0.419830i
\(489\) −8.94328 + 19.5831i −0.404429 + 0.885577i
\(490\) 18.5547 13.8546i 0.838214 0.625889i
\(491\) −3.95174 + 27.4849i −0.178339 + 1.24038i 0.682266 + 0.731104i \(0.260995\pi\)
−0.860605 + 0.509273i \(0.829914\pi\)
\(492\) −4.25820 4.06018i −0.191974 0.183047i
\(493\) −8.99047 + 1.73277i −0.404911 + 0.0780401i
\(494\) −0.369263 7.75179i −0.0166139 0.348769i
\(495\) −5.55428 2.86343i −0.249646 0.128702i
\(496\) 2.32003 + 2.67746i 0.104173 + 0.120222i
\(497\) 1.64234 4.55987i 0.0736689 0.204538i
\(498\) −0.425801 + 2.96151i −0.0190806 + 0.132708i
\(499\) 7.12870 + 1.37394i 0.319124 + 0.0615062i 0.346298 0.938125i \(-0.387439\pi\)
−0.0271736 + 0.999631i \(0.508651\pi\)
\(500\) 1.81028 + 2.54218i 0.0809580 + 0.113690i
\(501\) −8.20544 + 7.82387i −0.366592 + 0.349545i
\(502\) 7.46732 10.4864i 0.333283 0.468030i
\(503\) −4.06359 28.2629i −0.181186 1.26018i −0.853963 0.520333i \(-0.825808\pi\)
0.672777 0.739845i \(-0.265101\pi\)
\(504\) 2.05908 + 1.66138i 0.0917188 + 0.0740038i
\(505\) 13.4564 0.598801
\(506\) −9.02387 + 0.800198i −0.401160 + 0.0355731i
\(507\) −3.66396 + 6.34617i −0.162722 + 0.281843i
\(508\) −6.39693 + 3.29785i −0.283818 + 0.146318i
\(509\) 26.0348 20.4740i 1.15397 0.907494i 0.157183 0.987569i \(-0.449759\pi\)
0.996789 + 0.0800756i \(0.0255162\pi\)
\(510\) −2.61845 5.73361i −0.115947 0.253889i
\(511\) 0.914547 + 6.97949i 0.0404572 + 0.308755i
\(512\) −0.415415 + 0.909632i −0.0183589 + 0.0402004i
\(513\) 3.19965 + 0.616683i 0.141268 + 0.0272272i
\(514\) 7.19636 + 5.65928i 0.317418 + 0.249620i
\(515\) −10.6351 + 43.8384i −0.468638 + 1.93175i
\(516\) −3.04408 + 8.79529i −0.134008 + 0.387191i
\(517\) −2.23614 + 1.43708i −0.0983455 + 0.0632028i
\(518\) 11.1073 + 7.33615i 0.488027 + 0.322332i
\(519\) −9.77867 11.2852i −0.429236 0.495365i
\(520\) 5.70199 + 5.43683i 0.250049 + 0.238421i
\(521\) 2.04768 + 1.61031i 0.0897106 + 0.0705492i 0.662007 0.749498i \(-0.269705\pi\)
−0.572296 + 0.820047i \(0.693947\pi\)
\(522\) 1.57164 + 4.54097i 0.0687890 + 0.198753i
\(523\) 9.41239 0.898775i 0.411575 0.0393007i 0.112785 0.993619i \(-0.464023\pi\)
0.298790 + 0.954319i \(0.403417\pi\)
\(524\) −5.76195 1.69186i −0.251712 0.0739093i
\(525\) 4.95680 + 14.9231i 0.216332 + 0.651297i
\(526\) −3.92961 27.3310i −0.171339 1.19169i
\(527\) 0.321199 6.74279i 0.0139916 0.293721i
\(528\) 0.944495 1.63591i 0.0411039 0.0711940i
\(529\) 22.6411 4.04725i 0.984396 0.175968i
\(530\) 19.9012 + 34.4699i 0.864452 + 1.49727i
\(531\) 3.45437 + 2.21999i 0.149907 + 0.0963394i
\(532\) 7.61289 + 4.04604i 0.330061 + 0.175418i
\(533\) −5.82103 12.7463i −0.252137 0.552103i
\(534\) 0.492694 + 2.03091i 0.0213210 + 0.0878862i
\(535\) −36.4314 51.1608i −1.57507 2.21187i
\(536\) 1.70039 + 4.91294i 0.0734455 + 0.212207i
\(537\) −2.48571 + 0.995128i −0.107266 + 0.0429430i
\(538\) −27.9946 + 8.21995i −1.20693 + 0.354387i
\(539\) −6.32295 11.6132i −0.272349 0.500216i
\(540\) −2.78294 + 1.78848i −0.119758 + 0.0769641i
\(541\) 11.6475 + 6.00468i 0.500763 + 0.258161i 0.690052 0.723760i \(-0.257588\pi\)
−0.189288 + 0.981922i \(0.560618\pi\)
\(542\) −21.0921 + 4.06518i −0.905985 + 0.174614i
\(543\) 3.63206 14.9716i 0.155867 0.642491i
\(544\) 1.76891 0.708166i 0.0758415 0.0303624i
\(545\) −15.8878 + 18.3355i −0.680560 + 0.785408i
\(546\) 3.08207 + 5.49594i 0.131901 + 0.235205i
\(547\) 18.3178 + 5.37859i 0.783213 + 0.229972i 0.648806 0.760954i \(-0.275269\pi\)
0.134407 + 0.990926i \(0.457087\pi\)
\(548\) −10.2216 + 14.3542i −0.436644 + 0.613180i
\(549\) −8.85975 3.54691i −0.378125 0.151378i
\(550\) 9.97899 5.14453i 0.425505 0.219363i
\(551\) 7.82905 + 13.5603i 0.333529 + 0.577689i
\(552\) −2.02169 + 4.34888i −0.0860486 + 0.185101i
\(553\) 7.25123 + 0.784052i 0.308354 + 0.0333413i
\(554\) −11.6180 7.46641i −0.493600 0.317217i
\(555\) −13.0828 + 10.2884i −0.555333 + 0.436719i
\(556\) −20.9206 1.99767i −0.887230 0.0847202i
\(557\) −29.9879 + 28.5934i −1.27063 + 1.21154i −0.304780 + 0.952423i \(0.598583\pi\)
−0.965846 + 0.259117i \(0.916569\pi\)
\(558\) −3.52675 + 0.336764i −0.149299 + 0.0142563i
\(559\) −14.5157 + 16.7520i −0.613949 + 0.708535i
\(560\) −8.42802 + 2.36059i −0.356149 + 0.0997531i
\(561\) −3.45349 + 1.01404i −0.145806 + 0.0428126i
\(562\) −4.33983 + 12.5391i −0.183065 + 0.528931i
\(563\) 0.0291280 + 0.611471i 0.00122760 + 0.0257704i 0.999398 0.0346927i \(-0.0110453\pi\)
−0.998170 + 0.0604632i \(0.980742\pi\)
\(564\) 0.0669553 + 1.40556i 0.00281933 + 0.0591849i
\(565\) −9.18284 + 26.5321i −0.386325 + 1.11621i
\(566\) −1.43366 + 0.420962i −0.0602614 + 0.0176943i
\(567\) −2.54770 + 0.713583i −0.106994 + 0.0299677i
\(568\) −1.19961 + 1.38442i −0.0503343 + 0.0580889i
\(569\) 43.2751 4.13227i 1.81419 0.173234i 0.867938 0.496673i \(-0.165445\pi\)
0.946249 + 0.323439i \(0.104839\pi\)
\(570\) −7.80150 + 7.43872i −0.326769 + 0.311574i
\(571\) −19.7619 1.88703i −0.827011 0.0789699i −0.327038 0.945011i \(-0.606051\pi\)
−0.499973 + 0.866041i \(0.666657\pi\)
\(572\) 3.53633 2.78100i 0.147861 0.116279i
\(573\) 10.8746 + 6.98867i 0.454292 + 0.291956i
\(574\) 15.4765 + 1.67342i 0.645975 + 0.0698472i
\(575\) −24.0823 + 15.2479i −1.00430 + 0.635879i
\(576\) −0.500000 0.866025i −0.0208333 0.0360844i
\(577\) −29.0350 + 14.9686i −1.20874 + 0.623150i −0.940366 0.340164i \(-0.889517\pi\)
−0.268377 + 0.963314i \(0.586487\pi\)
\(578\) 12.4118 + 4.96892i 0.516261 + 0.206680i
\(579\) −1.39406 + 1.95768i −0.0579351 + 0.0813585i
\(580\) −15.2523 4.47847i −0.633316 0.185958i
\(581\) −3.87194 6.90442i −0.160635 0.286444i
\(582\) −2.89981 + 3.34656i −0.120201 + 0.138719i
\(583\) 21.1000 8.44717i 0.873873 0.349846i
\(584\) 0.627249 2.58555i 0.0259557 0.106991i
\(585\) −7.73619 + 1.49103i −0.319852 + 0.0616464i
\(586\) −1.38057 0.711731i −0.0570306 0.0294013i
\(587\) 16.1258 10.3634i 0.665584 0.427745i −0.163747 0.986502i \(-0.552358\pi\)
0.829331 + 0.558758i \(0.188722\pi\)
\(588\) −6.99781 0.175101i −0.288585 0.00722106i
\(589\) −11.0767 + 3.25241i −0.456407 + 0.134013i
\(590\) −12.6107 + 5.04856i −0.519174 + 0.207846i
\(591\) −1.77915 5.14052i −0.0731844 0.211453i
\(592\) −2.91839 4.09830i −0.119945 0.168439i
\(593\) −11.0090 45.3797i −0.452085 1.86352i −0.502162 0.864774i \(-0.667462\pi\)
0.0500770 0.998745i \(-0.484053\pi\)
\(594\) 0.784715 + 1.71829i 0.0321973 + 0.0705021i
\(595\) 14.7262 + 7.82654i 0.603713 + 0.320857i
\(596\) 6.89198 + 4.42921i 0.282307 + 0.181427i
\(597\) −11.1066 19.2372i −0.454563 0.787326i
\(598\) −8.31941 + 7.82593i −0.340206 + 0.320026i
\(599\) −17.5652 + 30.4239i −0.717696 + 1.24309i 0.244214 + 0.969721i \(0.421470\pi\)
−0.961910 + 0.273365i \(0.911863\pi\)
\(600\) 0.282799 5.93667i 0.0115452 0.242364i
\(601\) −0.485533 3.37695i −0.0198053 0.137749i 0.977520 0.210844i \(-0.0676213\pi\)
−0.997325 + 0.0730955i \(0.976712\pi\)
\(602\) −7.76218 23.3691i −0.316363 0.952452i
\(603\) −4.98829 1.46469i −0.203139 0.0596469i
\(604\) −13.4202 + 1.28148i −0.546061 + 0.0521425i
\(605\) 8.04087 + 23.2326i 0.326908 + 0.944539i
\(606\) −3.19745 2.51450i −0.129887 0.102145i
\(607\) −14.6922 14.0090i −0.596339 0.568608i 0.330623 0.943763i \(-0.392741\pi\)
−0.926962 + 0.375154i \(0.877590\pi\)
\(608\) −2.13389 2.46264i −0.0865407 0.0998732i
\(609\) −10.6085 7.00668i −0.429877 0.283925i
\(610\) 26.5585 17.0681i 1.07532 0.691069i
\(611\) −1.09610 + 3.16699i −0.0443436 + 0.128123i
\(612\) −0.449215 + 1.85169i −0.0181585 + 0.0748502i
\(613\) 28.0116 + 22.0285i 1.13138 + 0.889724i 0.994895 0.100918i \(-0.0321781\pi\)
0.136482 + 0.990643i \(0.456421\pi\)
\(614\) −16.3931 3.15951i −0.661572 0.127508i
\(615\) −8.08547 + 17.7047i −0.326038 + 0.713923i
\(616\) 0.649328 + 4.95544i 0.0261622 + 0.199660i
\(617\) 6.01751 + 13.1765i 0.242256 + 0.530467i 0.991232 0.132130i \(-0.0421817\pi\)
−0.748976 + 0.662597i \(0.769454\pi\)
\(618\) 10.7189 8.42940i 0.431176 0.339080i
\(619\) −3.23927 + 1.66996i −0.130197 + 0.0671213i −0.522094 0.852888i \(-0.674849\pi\)
0.391897 + 0.920009i \(0.371819\pi\)
\(620\) 5.85992 10.1497i 0.235340 0.407621i
\(621\) −2.36980 4.16942i −0.0950969 0.167313i
\(622\) −13.4430 −0.539016
\(623\) −4.30311 3.47199i −0.172401 0.139102i
\(624\) −0.338939 2.35737i −0.0135684 0.0943704i
\(625\) −11.2490 + 15.7970i −0.449961 + 0.631882i
\(626\) 13.2645 12.6477i 0.530155 0.505502i
\(627\) 3.57045 + 5.01400i 0.142590 + 0.200240i
\(628\) 16.2269 + 3.12748i 0.647524 + 0.124800i
\(629\) −1.36430 + 9.48889i −0.0543981 + 0.378347i
\(630\) 2.96585 8.23454i 0.118162 0.328072i
\(631\) 30.3150 + 34.9853i 1.20682 + 1.39274i 0.897047 + 0.441934i \(0.145708\pi\)
0.309773 + 0.950811i \(0.399747\pi\)
\(632\) −2.45024 1.26319i −0.0974652 0.0502468i
\(633\) −0.753860 15.8255i −0.0299632 0.629006i
\(634\) 6.90746 1.33130i 0.274330 0.0528728i
\(635\) 17.2308 + 16.4295i 0.683783 + 0.651986i
\(636\) 1.71231 11.9094i 0.0678976 0.472238i
\(637\) −15.3173 6.58130i −0.606892 0.260761i
\(638\) −3.77075 + 8.25680i −0.149286 + 0.326890i
\(639\) −0.431875 1.78021i −0.0170847 0.0704241i
\(640\) 3.29310 + 0.314453i 0.130171 + 0.0124299i
\(641\) −39.0053 15.6154i −1.54062 0.616770i −0.562868 0.826547i \(-0.690302\pi\)
−0.977749 + 0.209777i \(0.932726\pi\)
\(642\) −0.903381 + 18.9643i −0.0356536 + 0.748462i
\(643\) −42.8453 −1.68965 −0.844827 0.535040i \(-0.820296\pi\)
−0.844827 + 0.535040i \(0.820296\pi\)
\(644\) −2.75336 12.3862i −0.108498 0.488086i
\(645\) 30.7889 1.21231
\(646\) −0.295428 + 6.20179i −0.0116235 + 0.244006i
\(647\) −15.8854 6.35957i −0.624521 0.250020i 0.0377473 0.999287i \(-0.487982\pi\)
−0.662268 + 0.749267i \(0.730406\pi\)
\(648\) 0.995472 + 0.0950560i 0.0391058 + 0.00373415i
\(649\) 1.82869 + 7.53797i 0.0717824 + 0.295891i
\(650\) 5.88015 12.8757i 0.230639 0.505028i
\(651\) 6.86418 6.38299i 0.269028 0.250169i
\(652\) −3.06383 + 21.3094i −0.119989 + 0.834541i
\(653\) 28.5709 + 27.2423i 1.11806 + 1.06607i 0.997303 + 0.0733913i \(0.0233822\pi\)
0.120762 + 0.992682i \(0.461466\pi\)
\(654\) 7.20144 1.38796i 0.281599 0.0542737i
\(655\) 0.945248 + 19.8432i 0.0369339 + 0.775338i
\(656\) −5.22960 2.69604i −0.204181 0.105263i
\(657\) 1.74229 + 2.01071i 0.0679732 + 0.0784453i
\(658\) −2.40266 2.84392i −0.0936653 0.110868i
\(659\) −5.95473 + 41.4160i −0.231963 + 1.61334i 0.457630 + 0.889143i \(0.348698\pi\)
−0.689593 + 0.724197i \(0.742211\pi\)
\(660\) −6.13601 1.18262i −0.238844 0.0460334i
\(661\) −17.5119 24.5920i −0.681135 0.956520i −0.999962 0.00870685i \(-0.997228\pi\)
0.318828 0.947813i \(-0.396711\pi\)
\(662\) −3.80611 + 3.62912i −0.147929 + 0.141050i
\(663\) −2.63226 + 3.69649i −0.102228 + 0.143560i
\(664\) 0.425801 + 2.96151i 0.0165243 + 0.114929i
\(665\) 4.41159 28.1767i 0.171074 1.09264i
\(666\) 5.03121 0.194955
\(667\) 7.68429 21.7263i 0.297537 0.841246i
\(668\) −5.66882 + 9.81869i −0.219333 + 0.379896i
\(669\) 17.1119 8.82179i 0.661583 0.341070i
\(670\) 13.5188 10.6313i 0.522276 0.410723i
\(671\) −7.48882 16.3982i −0.289103 0.633046i
\(672\) 2.44374 + 1.01397i 0.0942693 + 0.0391148i
\(673\) 0.618542 1.35442i 0.0238431 0.0522090i −0.897336 0.441348i \(-0.854500\pi\)
0.921179 + 0.389139i \(0.127228\pi\)
\(674\) 17.8853 + 3.44712i 0.688918 + 0.132778i
\(675\) 4.67183 + 3.67397i 0.179819 + 0.141411i
\(676\) −1.72762 + 7.12136i −0.0664471 + 0.273899i
\(677\) −13.8097 + 39.9005i −0.530750 + 1.53350i 0.287001 + 0.957930i \(0.407342\pi\)
−0.817751 + 0.575571i \(0.804780\pi\)
\(678\) 7.13986 4.58851i 0.274205 0.176221i
\(679\) 0.703790 11.6946i 0.0270090 0.448796i
\(680\) −4.12773 4.76366i −0.158291 0.182678i
\(681\) −14.9477 14.2526i −0.572797 0.546161i
\(682\) −5.26050 4.13690i −0.201435 0.158410i
\(683\) 12.4513 + 35.9757i 0.476436 + 1.37657i 0.885743 + 0.464176i \(0.153649\pi\)
−0.409307 + 0.912397i \(0.634229\pi\)
\(684\) 3.24379 0.309744i 0.124029 0.0118434i
\(685\) 55.9326 + 16.4233i 2.13707 + 0.627502i
\(686\) 14.9772 10.8942i 0.571831 0.415944i
\(687\) 1.27423 + 8.86248i 0.0486150 + 0.338125i
\(688\) −0.442853 + 9.29664i −0.0168836 + 0.354431i
\(689\) 14.3276 24.8161i 0.545838 0.945420i
\(690\) 15.7826 + 1.61472i 0.600834 + 0.0614713i
\(691\) −15.4795 26.8113i −0.588868 1.01995i −0.994381 0.105861i \(-0.966240\pi\)
0.405513 0.914089i \(-0.367093\pi\)
\(692\) −12.5620 8.07309i −0.477534 0.306893i
\(693\) −4.41323 2.34551i −0.167645 0.0890985i
\(694\) −6.16412 13.4975i −0.233987 0.512360i
\(695\) 16.3904 + 67.5620i 0.621722 + 2.56277i
\(696\) 2.78732 + 3.91424i 0.105653 + 0.148369i
\(697\) 3.66666 + 10.5941i 0.138885 + 0.401281i
\(698\) 10.1350 4.05745i 0.383616 0.153577i
\(699\) 1.95766 0.574822i 0.0740456 0.0217417i
\(700\) 8.96033 + 12.9221i 0.338669 + 0.488410i
\(701\) 13.0263 8.37147i 0.491995 0.316186i −0.271012 0.962576i \(-0.587358\pi\)
0.763007 + 0.646390i \(0.223722\pi\)
\(702\) 2.11686 + 1.09132i 0.0798958 + 0.0411891i
\(703\) 16.0981 3.10266i 0.607152 0.117019i
\(704\) 0.445346 1.83574i 0.0167846 0.0691872i
\(705\) 4.32155 1.73009i 0.162759 0.0651588i
\(706\) −2.65748 + 3.06690i −0.100016 + 0.115424i
\(707\) 10.7614 + 0.134616i 0.404722 + 0.00506275i
\(708\) 3.93989 + 1.15686i 0.148070 + 0.0434773i
\(709\) −16.5415 + 23.2293i −0.621230 + 0.872396i −0.998558 0.0536842i \(-0.982904\pi\)
0.377328 + 0.926080i \(0.376843\pi\)
\(710\) 5.62582 + 2.25224i 0.211133 + 0.0845250i
\(711\) 2.45024 1.26319i 0.0918911 0.0473732i
\(712\) 1.04491 + 1.80984i 0.0391597 + 0.0678266i
\(713\) 14.2310 + 9.28217i 0.532957 + 0.347620i
\(714\) −2.03668 4.61149i −0.0762207 0.172581i
\(715\) −12.5200 8.04611i −0.468221 0.300907i
\(716\) −2.10466 + 1.65512i −0.0786549 + 0.0618549i
\(717\) −20.4719 1.95483i −0.764537 0.0730045i
\(718\) 22.1392 21.1097i 0.826228 0.787807i
\(719\) 5.27752 0.503942i 0.196818 0.0187939i 0.00381868 0.999993i \(-0.498784\pi\)
0.193000 + 0.981199i \(0.438178\pi\)
\(720\) −2.16633 + 2.50008i −0.0807345 + 0.0931725i
\(721\) −8.94366 + 34.9521i −0.333079 + 1.30169i
\(722\) −8.04239 + 2.36146i −0.299307 + 0.0878844i
\(723\) 7.74487 22.3773i 0.288035 0.832222i
\(724\) −0.733039 15.3884i −0.0272432 0.571905i
\(725\) 1.35892 + 28.5272i 0.0504690 + 1.05947i
\(726\) 2.43068 7.02298i 0.0902108 0.260647i
\(727\) −11.6377 + 3.41714i −0.431619 + 0.126735i −0.490323 0.871541i \(-0.663121\pi\)
0.0587044 + 0.998275i \(0.481303\pi\)
\(728\) 4.50561 + 4.40500i 0.166989 + 0.163260i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) −8.76147 + 0.836619i −0.324276 + 0.0309646i
\(731\) 12.8346 12.2378i 0.474706 0.452631i
\(732\) −9.50014 0.907154i −0.351135 0.0335294i
\(733\) 2.26758 1.78324i 0.0837548 0.0658655i −0.575404 0.817870i \(-0.695155\pi\)
0.659159 + 0.752004i \(0.270913\pi\)
\(734\) −21.8119 14.0177i −0.805092 0.517401i
\(735\) 7.02401 + 22.0656i 0.259085 + 0.813901i
\(736\) −0.714571 + 4.74230i −0.0263394 + 0.174803i
\(737\) −4.91032 8.50492i −0.180874 0.313283i
\(738\) 5.22960 2.69604i 0.192504 0.0992427i
\(739\) 27.8502 + 11.1495i 1.02449 + 0.410143i 0.822209 0.569186i \(-0.192741\pi\)
0.202277 + 0.979328i \(0.435166\pi\)
\(740\) −9.65426 + 13.5575i −0.354898 + 0.498384i
\(741\) 7.44622 + 2.18641i 0.273544 + 0.0803197i
\(742\) 15.5706 + 27.7654i 0.571614 + 1.01930i
\(743\) 32.6989 37.7365i 1.19961 1.38442i 0.296481 0.955039i \(-0.404187\pi\)
0.903124 0.429379i \(-0.141268\pi\)
\(744\) −3.28901 + 1.31672i −0.120581 + 0.0482734i
\(745\) 6.38942 26.3376i 0.234090 0.964933i
\(746\) 7.06716 1.36208i 0.258747 0.0498694i
\(747\) −2.65936 1.37100i −0.0973010 0.0501621i
\(748\) −3.02791 + 1.94592i −0.110711 + 0.0711499i
\(749\) −28.6232 41.2788i −1.04587 1.50830i
\(750\) −2.99444 + 0.879248i −0.109342 + 0.0321056i
\(751\) 7.24172 2.89915i 0.264254 0.105791i −0.235752 0.971813i \(-0.575755\pi\)
0.500006 + 0.866022i \(0.333331\pi\)
\(752\) 0.460236 + 1.32977i 0.0167831 + 0.0484916i
\(753\) 7.46732 + 10.4864i 0.272124 + 0.382145i
\(754\) 2.69808 + 11.1217i 0.0982584 + 0.405027i
\(755\) 18.5263 + 40.5670i 0.674241 + 1.47638i
\(756\) −2.24347 + 1.40245i −0.0815940 + 0.0510066i
\(757\) 0.305522 + 0.196347i 0.0111044 + 0.00713636i 0.546181 0.837667i \(-0.316081\pi\)
−0.535077 + 0.844803i \(0.679717\pi\)
\(758\) −14.6631 25.3972i −0.532587 0.922468i
\(759\) 2.19523 8.78929i 0.0796819 0.319031i
\(760\) −5.38976 + 9.33534i −0.195507 + 0.338628i
\(761\) 0.529843 11.1228i 0.0192068 0.403201i −0.968708 0.248203i \(-0.920160\pi\)
0.987915 0.154998i \(-0.0495370\pi\)
\(762\) −1.02424 7.12372i −0.0371042 0.258065i
\(763\) −12.8893 + 14.5044i −0.466623 + 0.525094i
\(764\) 12.4030 + 3.64186i 0.448726 + 0.131758i
\(765\) 6.27468 0.599159i 0.226862 0.0216627i
\(766\) −0.651374 1.88202i −0.0235351 0.0680002i
\(767\) 7.68715 + 6.04524i 0.277567 + 0.218281i
\(768\) −0.723734 0.690079i −0.0261155 0.0249011i
\(769\) 3.98286 + 4.59646i 0.143625 + 0.165753i 0.823004 0.568035i \(-0.192296\pi\)
−0.679379 + 0.733788i \(0.737751\pi\)
\(770\) 14.7888 7.39151i 0.532953 0.266372i
\(771\) −7.70173 + 4.94960i −0.277371 + 0.178255i
\(772\) −0.786047 + 2.27113i −0.0282905 + 0.0817399i
\(773\) 3.74644 15.4430i 0.134750 0.555447i −0.863908 0.503650i \(-0.831990\pi\)
0.998658 0.0517966i \(-0.0164948\pi\)
\(774\) −7.31594 5.75332i −0.262966 0.206799i
\(775\) −20.6757 3.98492i −0.742694 0.143142i
\(776\) −1.83951 + 4.02797i −0.0660346 + 0.144596i
\(777\) −10.5655 + 8.09699i −0.379036 + 0.290478i
\(778\) 11.8143 + 25.8697i 0.423563 + 0.927474i
\(779\) 15.0703 11.8514i 0.539949 0.424621i
\(780\) −7.00275 + 3.61017i −0.250739 + 0.129265i
\(781\) 1.73017 2.99675i 0.0619105 0.107232i
\(782\) 7.22094 5.60007i 0.258220 0.200258i
\(783\) −4.80525 −0.171726
\(784\) −6.76368 + 1.80350i −0.241560 + 0.0644108i
\(785\) −7.78005 54.1114i −0.277682 1.93132i
\(786\) 3.48336 4.89169i 0.124247 0.174481i
\(787\) 19.2160 18.3224i 0.684975 0.653122i −0.265433 0.964129i \(-0.585515\pi\)
0.950408 + 0.311007i \(0.100666\pi\)
\(788\) −3.15533 4.43104i −0.112404 0.157849i
\(789\) 27.1131 + 5.22562i 0.965252 + 0.186037i
\(790\) −1.29782 + 9.02651i −0.0461742 + 0.321149i
\(791\) −7.60914 + 21.1264i −0.270550 + 0.751168i
\(792\) 1.23703 + 1.42760i 0.0439558 + 0.0507277i
\(793\) −20.2020 10.4148i −0.717393 0.369842i
\(794\) 0.268401 + 5.63443i 0.00952519 + 0.199958i
\(795\) −39.0831 + 7.53265i −1.38613 + 0.267155i
\(796\) −16.0764 15.3289i −0.569814 0.543317i
\(797\) 0.545601 3.79474i 0.0193262 0.134417i −0.977874 0.209195i \(-0.932916\pi\)
0.997200 + 0.0747781i \(0.0238248\pi\)
\(798\) −6.31345 + 5.87086i −0.223494 + 0.207826i
\(799\) 1.11381 2.43891i 0.0394038 0.0862823i
\(800\) −1.40121 5.77587i −0.0495403 0.204208i
\(801\) −2.08036 0.198650i −0.0735059 0.00701896i
\(802\) 19.1635 + 7.67192i 0.676687 + 0.270905i
\(803\) −0.239135 + 5.02006i −0.00843889 + 0.177154i
\(804\) −5.19888 −0.183350
\(805\) −35.7421 + 22.0089i −1.25974 + 0.775712i
\(806\) −8.43755 −0.297200
\(807\) 1.38827 29.1434i 0.0488694 1.02590i
\(808\) −3.77635 1.51182i −0.132851 0.0531857i
\(809\) 50.8223 + 4.85294i 1.78682 + 0.170620i 0.935335 0.353763i \(-0.115098\pi\)
0.851482 + 0.524384i \(0.175704\pi\)
\(810\) −0.779910 3.21483i −0.0274032 0.112958i
\(811\) 17.5119 38.3457i 0.614926 1.34650i −0.304227 0.952600i \(-0.598398\pi\)
0.919153 0.393901i \(-0.128875\pi\)
\(812\) −12.1528 3.73411i −0.426478 0.131042i
\(813\) 3.05697 21.2617i 0.107213 0.745680i
\(814\) 6.87830 + 6.55844i 0.241084 + 0.229873i
\(815\) 69.9312 13.4781i 2.44958 0.472119i
\(816\) 0.0906626 + 1.90324i 0.00317383 + 0.0666268i
\(817\) −26.9564 13.8970i −0.943086 0.486195i
\(818\) −10.2137 11.7872i −0.357113 0.412130i
\(819\) −6.20172 + 1.11502i −0.216705 + 0.0389618i
\(820\) −2.76996 + 19.2655i −0.0967311 + 0.672780i
\(821\) −37.0315 7.13724i −1.29241 0.249091i −0.503710 0.863873i \(-0.668032\pi\)
−0.788698 + 0.614781i \(0.789244\pi\)
\(822\) −10.2216 14.3542i −0.356518 0.500660i
\(823\) −1.40372 + 1.33845i −0.0489307 + 0.0466554i −0.714150 0.699993i \(-0.753187\pi\)
0.665219 + 0.746648i \(0.268338\pi\)
\(824\) 7.90983 11.1078i 0.275552 0.386959i
\(825\) 1.59777 + 11.1128i 0.0556273 + 0.386897i
\(826\) −10.1355 + 3.91128i −0.352661 + 0.136091i
\(827\) 13.3865 0.465493 0.232746 0.972537i \(-0.425229\pi\)
0.232746 + 0.972537i \(0.425229\pi\)
\(828\) −3.44847 3.33287i −0.119843 0.115825i
\(829\) −17.4064 + 30.1487i −0.604548 + 1.04711i 0.387574 + 0.921838i \(0.373313\pi\)
−0.992123 + 0.125270i \(0.960020\pi\)
\(830\) 8.79739 4.53537i 0.305362 0.157425i
\(831\) 10.8556 8.53695i 0.376577 0.296144i
\(832\) −0.989357 2.16639i −0.0342998 0.0751061i
\(833\) 11.6985 + 6.40637i 0.405330 + 0.221968i
\(834\) 8.73025 19.1166i 0.302304 0.661953i
\(835\) 36.8281 + 7.09803i 1.27449 + 0.245637i
\(836\) 4.83843 + 3.80499i 0.167341 + 0.131598i
\(837\) 0.835244 3.44292i 0.0288703 0.119005i
\(838\) 1.02428 2.95947i 0.0353832 0.102233i
\(839\) 40.3841 25.9533i 1.39421 0.896006i 0.394475 0.918907i \(-0.370927\pi\)
0.999738 + 0.0229009i \(0.00729022\pi\)
\(840\) 0.525774 8.73656i 0.0181409 0.301440i
\(841\) 3.86993 + 4.46614i 0.133446 + 0.154005i
\(842\) 17.0380 + 16.2457i 0.587170 + 0.559865i
\(843\) −10.4301 8.20229i −0.359230 0.282502i
\(844\) −5.18187 14.9720i −0.178367 0.515359i
\(845\) 24.1316 2.30429i 0.830152 0.0792699i
\(846\) −1.35016 0.396442i −0.0464194 0.0136300i
\(847\) 6.19804 + 18.6600i 0.212967 + 0.641166i
\(848\) −1.71231 11.9094i −0.0588010 0.408970i
\(849\) 0.0710964 1.49250i 0.00244002 0.0512224i
\(850\) −5.66229 + 9.80737i −0.194215 + 0.336390i
\(851\) −18.8653 15.0432i −0.646695 0.515675i
\(852\) −0.915925 1.58643i −0.0313791 0.0543501i
\(853\) −27.9625 17.9704i −0.957417 0.615295i −0.0341353 0.999417i \(-0.510868\pi\)
−0.923282 + 0.384122i \(0.874504\pi\)
\(854\) 21.4102 13.3841i 0.732642 0.457994i
\(855\) −4.47797 9.80539i −0.153143 0.335337i
\(856\) 4.47608 + 18.4506i 0.152989 + 0.630630i
\(857\) 2.65794 + 3.73256i 0.0907937 + 0.127502i 0.857474 0.514527i \(-0.172032\pi\)
−0.766681 + 0.642029i \(0.778093\pi\)
\(858\) 1.47143 + 4.25141i 0.0502337 + 0.145141i
\(859\) −22.3237 + 8.93707i −0.761676 + 0.304929i −0.719789 0.694193i \(-0.755761\pi\)
−0.0418871 + 0.999122i \(0.513337\pi\)
\(860\) 29.5417 8.67424i 1.00737 0.295789i
\(861\) −6.64324 + 14.0779i −0.226401 + 0.479775i
\(862\) −1.31904 + 0.847693i −0.0449265 + 0.0288725i
\(863\) 4.51270 + 2.32646i 0.153614 + 0.0791936i 0.533320 0.845914i \(-0.320944\pi\)
−0.379705 + 0.925107i \(0.623975\pi\)
\(864\) 0.981929 0.189251i 0.0334059 0.00643846i
\(865\) −11.6460 + 48.0053i −0.395974 + 1.63223i
\(866\) −29.9285 + 11.9816i −1.01701 + 0.407151i
\(867\) −8.75513 + 10.1040i −0.297340 + 0.343148i
\(868\) 4.78784 8.05829i 0.162510 0.273516i
\(869\) 4.99641 + 1.46708i 0.169492 + 0.0497673i
\(870\) 9.22068 12.9486i 0.312610 0.439000i
\(871\) −11.4948 4.60182i −0.389486 0.155927i
\(872\) 6.51870 3.36062i 0.220751 0.113805i
\(873\) −2.21406 3.83487i −0.0749347 0.129791i
\(874\) −13.0892 8.53743i −0.442750 0.288783i
\(875\) 4.87330 6.66553i 0.164747 0.225336i
\(876\) 2.23820 + 1.43840i 0.0756217 + 0.0485991i
\(877\) −44.3488 + 34.8763i −1.49755 + 1.17769i −0.560670 + 0.828039i \(0.689456\pi\)
−0.936881 + 0.349648i \(0.886301\pi\)
\(878\) 24.0895 + 2.30027i 0.812982 + 0.0776304i
\(879\) 1.12413 1.07185i 0.0379158 0.0361526i
\(880\) −6.22064 + 0.593999i −0.209698 + 0.0200237i
\(881\) −24.6948 + 28.4994i −0.831990 + 0.960168i −0.999670 0.0256735i \(-0.991827\pi\)
0.167680 + 0.985841i \(0.446372\pi\)
\(882\) 2.45423 6.55567i 0.0826382 0.220741i
\(883\) −2.36118 + 0.693306i −0.0794601 + 0.0233316i −0.321221 0.947004i \(-0.604093\pi\)
0.241761 + 0.970336i \(0.422275\pi\)
\(884\) −1.48421 + 4.28834i −0.0499194 + 0.144233i
\(885\) −0.646339 13.5683i −0.0217265 0.456094i
\(886\) −1.10016 23.0952i −0.0369606 0.775898i
\(887\) 7.54719 21.8062i 0.253410 0.732179i −0.744504 0.667618i \(-0.767314\pi\)
0.997914 0.0645614i \(-0.0205648\pi\)
\(888\) 4.82741 1.41745i 0.161997 0.0475667i
\(889\) 13.6155 + 13.3114i 0.456649 + 0.446451i
\(890\) 4.52725 5.22472i 0.151754 0.175133i
\(891\) −1.88044 + 0.179560i −0.0629970 + 0.00601549i
\(892\) 13.9333 13.2854i 0.466523 0.444829i
\(893\) −4.56452 0.435859i −0.152746 0.0145855i
\(894\) −6.43975 + 5.06428i −0.215377 + 0.169375i
\(895\) 7.45133 + 4.78868i 0.249070 + 0.160068i
\(896\) 2.63042 + 0.284419i 0.0878761 + 0.00950176i
\(897\) −4.67450 10.4215i −0.156077 0.347962i
\(898\) 12.2971 + 21.2991i 0.410358 + 0.710761i
\(899\) 15.1315 7.80085i 0.504665 0.260173i
\(900\) 5.51767 + 2.20894i 0.183922 + 0.0736313i
\(901\) −13.2981 + 18.6746i −0.443024 + 0.622140i
\(902\) 10.6640 + 3.13122i 0.355071 + 0.104258i
\(903\) 24.6226 + 0.308009i 0.819387 + 0.0102499i
\(904\) 5.55791 6.41417i 0.184853 0.213332i
\(905\) −47.3131 + 18.9413i −1.57274 + 0.629630i
\(906\) 3.17833 13.1012i 0.105593 0.435260i
\(907\) 39.4066 7.59500i 1.30847 0.252188i 0.513112 0.858322i \(-0.328493\pi\)
0.795363 + 0.606134i \(0.207281\pi\)
\(908\) −18.3576 9.46401i −0.609219 0.314074i
\(909\) 3.42199 2.19918i 0.113500 0.0729422i
\(910\) 8.89571 18.8512i 0.294890 0.624912i
\(911\) −15.5002 + 4.55128i −0.513545 + 0.150791i −0.528229 0.849102i \(-0.677144\pi\)
0.0146841 + 0.999892i \(0.495326\pi\)
\(912\) 3.02512 1.21108i 0.100172 0.0401028i
\(913\) −1.84852 5.34095i −0.0611771 0.176759i
\(914\) −10.8587 15.2489i −0.359173 0.504388i
\(915\) 7.44296 + 30.6803i 0.246057 + 1.01426i
\(916\) 3.71946 + 8.14449i 0.122895 + 0.269102i
\(917\) 0.557426 + 15.8785i 0.0184078 + 0.524354i
\(918\) −1.60293 1.03014i −0.0529044 0.0339996i
\(919\) 14.2263 + 24.6406i 0.469281 + 0.812818i 0.999383 0.0351155i \(-0.0111799\pi\)
−0.530103 + 0.847934i \(0.677847\pi\)
\(920\) 15.5982 2.89716i 0.514258 0.0955167i
\(921\) 8.34741 14.4581i 0.275056 0.476412i
\(922\) −0.751225 + 15.7702i −0.0247403 + 0.519362i
\(923\) −0.620885 4.31835i −0.0204367 0.142140i
\(924\) −4.89527 1.00715i −0.161043 0.0331328i
\(925\) 28.6912 + 8.42451i 0.943362 + 0.276996i
\(926\) 36.4953 3.48488i 1.19931 0.114520i
\(927\) 4.46000 + 12.8863i 0.146486 + 0.423242i
\(928\) 3.77718 + 2.97041i 0.123992 + 0.0975085i
\(929\) −19.6799 18.7648i −0.645677 0.615652i 0.294779 0.955565i \(-0.404754\pi\)
−0.940457 + 0.339913i \(0.889602\pi\)
\(930\) 7.67486 + 8.85726i 0.251669 + 0.290441i
\(931\) 3.80992 22.4893i 0.124865 0.737058i
\(932\) 1.71642 1.10307i 0.0562231 0.0361324i
\(933\) 4.39678 12.7037i 0.143944 0.415899i
\(934\) −7.22487 + 29.7813i −0.236405 + 0.974475i
\(935\) 9.35932 + 7.36025i 0.306083 + 0.240706i
\(936\) 2.33857 + 0.450723i 0.0764387 + 0.0147323i
\(937\) 6.22859 13.6387i 0.203479 0.445557i −0.780190 0.625543i \(-0.784878\pi\)
0.983669 + 0.179985i \(0.0576050\pi\)
\(938\) 10.9176 8.36683i 0.356473 0.273187i
\(939\) 7.61366 + 16.6716i 0.248462 + 0.544057i
\(940\) 3.65907 2.87753i 0.119346 0.0938546i
\(941\) 41.9717 21.6379i 1.36824 0.705377i 0.391575 0.920146i \(-0.371930\pi\)
0.976665 + 0.214770i \(0.0689001\pi\)
\(942\) −8.26277 + 14.3115i −0.269216 + 0.466295i
\(943\) −27.6704 5.52715i −0.901071 0.179989i
\(944\) 4.10622 0.133646
\(945\) 6.81161 + 5.49598i 0.221582 + 0.178784i
\(946\) −2.50206 17.4022i −0.0813491 0.565795i
\(947\) −1.15522 + 1.62228i −0.0375396 + 0.0527170i −0.832919 0.553395i \(-0.813332\pi\)
0.795380 + 0.606112i \(0.207272\pi\)
\(948\) 1.99511 1.90233i 0.0647980 0.0617848i
\(949\) 3.67547 + 5.16148i 0.119311 + 0.167549i
\(950\) 19.0168 + 3.66520i 0.616988 + 0.118915i
\(951\) −1.00113 + 6.96298i −0.0324637 + 0.225790i
\(952\) −3.25338 3.85089i −0.105443 0.124808i
\(953\) −29.2204 33.7221i −0.946542 1.09237i −0.995613 0.0935719i \(-0.970171\pi\)
0.0490709 0.998795i \(-0.484374\pi\)
\(954\) 10.6943 + 5.51332i 0.346242 + 0.178500i
\(955\) −2.03472 42.7140i −0.0658419 1.38219i
\(956\) −20.1934 + 3.89196i −0.653101 + 0.125875i
\(957\) −6.56939 6.26390i −0.212358 0.202483i
\(958\) −2.93273 + 20.3976i −0.0947521 + 0.659016i
\(959\) 44.5662 + 13.6936i 1.43912 + 0.442190i
\(960\) −1.37423 + 3.00914i −0.0443530 + 0.0971195i
\(961\) −4.34943 17.9286i −0.140304 0.578342i
\(962\) 11.9281 + 1.13900i 0.384578 + 0.0367228i
\(963\) −17.6258 7.05631i −0.567984 0.227387i
\(964\) 1.12673 23.6529i 0.0362894 0.761808i
\(965\) 7.95036 0.255931
\(966\) 12.6055 + 1.44921i 0.405577 + 0.0466277i
\(967\) −24.6654 −0.793187 −0.396593 0.917994i \(-0.629808\pi\)
−0.396593 + 0.917994i \(0.629808\pi\)
\(968\) 0.353615 7.42330i 0.0113656 0.238594i
\(969\) −5.76407 2.30759i −0.185169 0.0741304i
\(970\) 14.5823 + 1.39244i 0.468209 + 0.0447085i
\(971\) 10.5364 + 43.4316i 0.338129 + 1.39379i 0.846380 + 0.532579i \(0.178777\pi\)
−0.508251 + 0.861209i \(0.669708\pi\)
\(972\) −0.415415 + 0.909632i −0.0133244 + 0.0291765i
\(973\) 12.4319 + 54.1948i 0.398547 + 1.73741i
\(974\) 1.15684 8.04599i 0.0370675 0.257810i
\(975\) 10.2444 + 9.76799i 0.328082 + 0.312826i
\(976\) −9.37090 + 1.80609i −0.299955 + 0.0578116i
\(977\) 0.553994 + 11.6298i 0.0177238 + 0.372069i 0.990252 + 0.139285i \(0.0444804\pi\)
−0.972528 + 0.232784i \(0.925217\pi\)
\(978\) −19.1353 9.86495i −0.611881 0.315446i
\(979\) −2.58516 2.98344i −0.0826222 0.0953511i
\(980\) 12.9561 + 19.1929i 0.413867 + 0.613094i
\(981\) −1.04373 + 7.25933i −0.0333238 + 0.231772i
\(982\) −27.2658 5.25505i −0.870086 0.167695i
\(983\) −20.3971 28.6437i −0.650566 0.913592i 0.349159 0.937064i \(-0.386467\pi\)
−0.999725 + 0.0234717i \(0.992528\pi\)
\(984\) 4.25820 4.06018i 0.135746 0.129434i
\(985\) −10.4381 + 14.6583i −0.332585 + 0.467051i
\(986\) −1.30303 9.06274i −0.0414968 0.288616i
\(987\) 3.47334 1.34036i 0.110558 0.0426640i
\(988\) 7.76058 0.246897
\(989\) 10.2300 + 43.4476i 0.325295 + 1.38155i
\(990\) 3.12447 5.41174i 0.0993021 0.171996i
\(991\) 47.2711 24.3700i 1.50162 0.774137i 0.505554 0.862795i \(-0.331288\pi\)
0.996062 + 0.0886575i \(0.0282577\pi\)
\(992\) −2.78482 + 2.19001i −0.0884181 + 0.0695328i
\(993\) −2.18466 4.78375i −0.0693282 0.151808i
\(994\) 4.47656 + 1.85744i 0.141988 + 0.0589146i
\(995\) −30.5260 + 66.8425i −0.967738 + 2.11905i
\(996\) −2.93789 0.566233i −0.0930907 0.0179418i
\(997\) 5.14820 + 4.04859i 0.163045 + 0.128220i 0.696348 0.717704i \(-0.254807\pi\)
−0.533303 + 0.845924i \(0.679049\pi\)
\(998\) −1.71159 + 7.05525i −0.0541793 + 0.223330i
\(999\) −1.64555 + 4.75449i −0.0520628 + 0.150426i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 966.2.y.a.25.8 160
7.2 even 3 inner 966.2.y.a.163.8 yes 160
23.12 even 11 inner 966.2.y.a.403.8 yes 160
161.58 even 33 inner 966.2.y.a.541.8 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.y.a.25.8 160 1.1 even 1 trivial
966.2.y.a.163.8 yes 160 7.2 even 3 inner
966.2.y.a.403.8 yes 160 23.12 even 11 inner
966.2.y.a.541.8 yes 160 161.58 even 33 inner