Properties

Label 567.2.br.a.101.31
Level $567$
Weight $2$
Character 567.101
Analytic conductor $4.528$
Analytic rank $0$
Dimension $1260$
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] = [567,2,Mod(5,567)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(567, base_ring=CyclotomicField(54))
 
chi = DirichletCharacter(H, H._module([23, 45]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("567.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 567 = 3^{4} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 567.br (of order \(54\), degree \(18\), 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: \(4.52751779461\)
Analytic rank: \(0\)
Dimension: \(1260\)
Relative dimension: \(70\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 101.31
Character \(\chi\) \(=\) 567.101
Dual form 567.2.br.a.320.31

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.395024 + 0.294084i) q^{2} +(0.630788 - 1.61310i) q^{3} +(-0.504048 + 1.68364i) q^{4} +(0.0546847 + 0.938899i) q^{5} +(0.225213 + 0.822720i) q^{6} +(-1.92707 - 1.81284i) q^{7} +(-0.632892 - 1.73886i) q^{8} +(-2.20421 - 2.03505i) q^{9} +O(q^{10})\) \(q+(-0.395024 + 0.294084i) q^{2} +(0.630788 - 1.61310i) q^{3} +(-0.504048 + 1.68364i) q^{4} +(0.0546847 + 0.938899i) q^{5} +(0.225213 + 0.822720i) q^{6} +(-1.92707 - 1.81284i) q^{7} +(-0.632892 - 1.73886i) q^{8} +(-2.20421 - 2.03505i) q^{9} +(-0.297717 - 0.354806i) q^{10} +(-0.795127 + 1.20893i) q^{11} +(2.39794 + 1.87510i) q^{12} +(-1.48571 - 1.10607i) q^{13} +(1.29437 + 0.149393i) q^{14} +(1.54904 + 0.504034i) q^{15} +(-2.17531 - 1.43073i) q^{16} +(-0.831830 - 4.71754i) q^{17} +(1.46919 + 0.155670i) q^{18} +(-0.699900 - 0.123411i) q^{19} +(-1.60833 - 0.381181i) q^{20} +(-4.13988 + 1.96505i) q^{21} +(-0.0414338 - 0.711392i) q^{22} +(-1.75889 - 7.42135i) q^{23} +(-3.20418 - 0.0759282i) q^{24} +(4.08765 - 0.477778i) q^{25} +0.912171 q^{26} +(-4.67315 + 2.27194i) q^{27} +(4.02351 - 2.33073i) q^{28} +(-5.12871 - 2.21231i) q^{29} +(-0.760135 + 0.256442i) q^{30} +(1.04157 + 4.39472i) q^{31} +(4.97470 - 0.289743i) q^{32} +(1.44858 + 2.04520i) q^{33} +(1.71595 + 1.61891i) q^{34} +(1.59669 - 1.90846i) q^{35} +(4.53732 - 2.68533i) q^{36} +(-0.633082 + 0.531219i) q^{37} +(0.312770 - 0.157079i) q^{38} +(-2.72138 + 1.69891i) q^{39} +(1.59800 - 0.689311i) q^{40} +(3.37576 + 0.394570i) q^{41} +(1.05746 - 1.99372i) q^{42} +(0.322754 + 0.212278i) q^{43} +(-1.63462 - 1.94807i) q^{44} +(1.79017 - 2.18082i) q^{45} +(2.87731 + 2.41435i) q^{46} +(-7.34831 - 1.74158i) q^{47} +(-3.68007 + 2.60652i) q^{48} +(0.427218 + 6.98695i) q^{49} +(-1.47421 + 1.39085i) q^{50} +(-8.13460 - 1.63394i) q^{51} +(2.61110 - 1.94389i) q^{52} -8.77949i q^{53} +(1.17786 - 2.27177i) q^{54} +(-1.17855 - 0.680434i) q^{55} +(-1.93264 + 4.49823i) q^{56} +(-0.640563 + 1.05117i) q^{57} +(2.67657 - 0.634359i) q^{58} +(0.249612 + 0.125360i) q^{59} +(-1.62940 + 2.35396i) q^{60} +(-13.6141 + 4.07580i) q^{61} +(-1.70386 - 1.42971i) q^{62} +(0.558453 + 7.91758i) q^{63} +(2.10910 - 1.76974i) q^{64} +(0.957245 - 1.45542i) q^{65} +(-1.17369 - 0.381900i) q^{66} +(-4.28636 - 0.501003i) q^{67} +(8.36192 + 0.977368i) q^{68} +(-13.0809 - 1.84402i) q^{69} +(-0.0694833 + 1.22345i) q^{70} +(0.00646683 - 0.0177675i) q^{71} +(-2.14364 + 5.12078i) q^{72} +(1.35331 + 0.238624i) q^{73} +(0.0938594 - 0.396024i) q^{74} +(1.80773 - 6.89518i) q^{75} +(0.560563 - 1.11617i) q^{76} +(3.72387 - 0.888261i) q^{77} +(0.575386 - 1.47143i) q^{78} +(4.46787 + 6.00139i) q^{79} +(1.22435 - 2.12064i) q^{80} +(0.717116 + 8.97138i) q^{81} +(-1.44954 + 0.836894i) q^{82} +(-2.66645 + 0.311664i) q^{83} +(-1.22174 - 7.96053i) q^{84} +(4.38381 - 1.03898i) q^{85} +(-0.189923 + 0.0110618i) q^{86} +(-6.80382 + 6.87765i) q^{87} +(2.60539 + 0.617489i) q^{88} +(-0.935114 - 0.784654i) q^{89} +(-0.0658159 + 1.38794i) q^{90} +(0.857944 + 4.82484i) q^{91} +(13.3814 + 0.779380i) q^{92} +(7.74616 + 1.09198i) q^{93} +(3.41493 - 1.47306i) q^{94} +(0.0775969 - 0.663884i) q^{95} +(2.67059 - 8.20747i) q^{96} +(7.61842 + 15.1695i) q^{97} +(-2.22351 - 2.63437i) q^{98} +(4.21287 - 1.04662i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1260 q - 9 q^{2} - 27 q^{3} - 9 q^{4} - 27 q^{5} - 18 q^{7} - 36 q^{8} - 9 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1260 q - 9 q^{2} - 27 q^{3} - 9 q^{4} - 27 q^{5} - 18 q^{7} - 36 q^{8} - 9 q^{9} - 27 q^{10} - 9 q^{11} - 27 q^{12} - 18 q^{14} - 36 q^{15} - 9 q^{16} - 27 q^{17} - 9 q^{18} - 27 q^{19} - 72 q^{21} - 36 q^{22} - 63 q^{23} - 27 q^{24} - 9 q^{25} - 54 q^{26} - 9 q^{28} - 36 q^{29} + 45 q^{30} - 27 q^{31} - 9 q^{32} - 27 q^{33} + 9 q^{35} - 36 q^{36} - 9 q^{37} - 27 q^{38} - 9 q^{39} - 27 q^{40} + 54 q^{41} + 72 q^{42} - 36 q^{43} - 9 q^{44} - 27 q^{45} - 9 q^{46} - 189 q^{47} - 297 q^{48} - 18 q^{49} - 36 q^{50} - 9 q^{51} - 27 q^{52} - 27 q^{54} - 126 q^{56} - 36 q^{57} - 9 q^{58} - 27 q^{59} - 9 q^{60} - 27 q^{61} + 297 q^{62} + 90 q^{63} - 36 q^{64} - 27 q^{65} - 27 q^{66} - 9 q^{67} - 162 q^{68} - 54 q^{69} + 36 q^{70} + 36 q^{71} - 117 q^{72} - 27 q^{73} - 9 q^{74} - 27 q^{75} + 54 q^{77} + 81 q^{78} - 63 q^{79} - 9 q^{81} - 54 q^{82} + 162 q^{84} - 90 q^{85} - 81 q^{86} - 27 q^{87} - 9 q^{88} - 27 q^{89} - 18 q^{91} + 90 q^{92} - 45 q^{93} - 27 q^{94} + 99 q^{95} - 27 q^{96} - 153 q^{98} - 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(407\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{25}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.395024 + 0.294084i −0.279324 + 0.207949i −0.727699 0.685896i \(-0.759410\pi\)
0.448375 + 0.893845i \(0.352003\pi\)
\(3\) 0.630788 1.61310i 0.364185 0.931326i
\(4\) −0.504048 + 1.68364i −0.252024 + 0.841819i
\(5\) 0.0546847 + 0.938899i 0.0244557 + 0.419889i 0.988211 + 0.153100i \(0.0489256\pi\)
−0.963755 + 0.266789i \(0.914037\pi\)
\(6\) 0.225213 + 0.822720i 0.0919427 + 0.335874i
\(7\) −1.92707 1.81284i −0.728365 0.685189i
\(8\) −0.632892 1.73886i −0.223761 0.614779i
\(9\) −2.20421 2.03505i −0.734738 0.678351i
\(10\) −0.297717 0.354806i −0.0941465 0.112199i
\(11\) −0.795127 + 1.20893i −0.239740 + 0.364507i −0.935237 0.354022i \(-0.884814\pi\)
0.695497 + 0.718529i \(0.255184\pi\)
\(12\) 2.39794 + 1.87510i 0.692225 + 0.541295i
\(13\) −1.48571 1.10607i −0.412063 0.306769i 0.371092 0.928596i \(-0.378983\pi\)
−0.783155 + 0.621827i \(0.786391\pi\)
\(14\) 1.29437 + 0.149393i 0.345934 + 0.0399271i
\(15\) 1.54904 + 0.504034i 0.399960 + 0.130141i
\(16\) −2.17531 1.43073i −0.543828 0.357681i
\(17\) −0.831830 4.71754i −0.201748 1.14417i −0.902475 0.430742i \(-0.858252\pi\)
0.700726 0.713430i \(-0.252859\pi\)
\(18\) 1.46919 + 0.155670i 0.346292 + 0.0366917i
\(19\) −0.699900 0.123411i −0.160568 0.0283125i 0.0927862 0.995686i \(-0.470423\pi\)
−0.253354 + 0.967374i \(0.581534\pi\)
\(20\) −1.60833 0.381181i −0.359634 0.0852347i
\(21\) −4.13988 + 1.96505i −0.903395 + 0.428810i
\(22\) −0.0414338 0.711392i −0.00883373 0.151669i
\(23\) −1.75889 7.42135i −0.366755 1.54746i −0.773427 0.633885i \(-0.781459\pi\)
0.406672 0.913574i \(-0.366689\pi\)
\(24\) −3.20418 0.0759282i −0.654050 0.0154988i
\(25\) 4.08765 0.477778i 0.817530 0.0955556i
\(26\) 0.912171 0.178891
\(27\) −4.67315 + 2.27194i −0.899347 + 0.437235i
\(28\) 4.02351 2.33073i 0.760371 0.440467i
\(29\) −5.12871 2.21231i −0.952378 0.410816i −0.137535 0.990497i \(-0.543918\pi\)
−0.814844 + 0.579681i \(0.803177\pi\)
\(30\) −0.760135 + 0.256442i −0.138781 + 0.0468197i
\(31\) 1.04157 + 4.39472i 0.187071 + 0.789316i 0.982952 + 0.183862i \(0.0588601\pi\)
−0.795881 + 0.605453i \(0.792992\pi\)
\(32\) 4.97470 0.289743i 0.879411 0.0512198i
\(33\) 1.44858 + 2.04520i 0.252165 + 0.356024i
\(34\) 1.71595 + 1.61891i 0.294283 + 0.277641i
\(35\) 1.59669 1.90846i 0.269890 0.322589i
\(36\) 4.53732 2.68533i 0.756221 0.447556i
\(37\) −0.633082 + 0.531219i −0.104078 + 0.0873319i −0.693342 0.720609i \(-0.743862\pi\)
0.589264 + 0.807941i \(0.299418\pi\)
\(38\) 0.312770 0.157079i 0.0507381 0.0254816i
\(39\) −2.72138 + 1.69891i −0.435770 + 0.272044i
\(40\) 1.59800 0.689311i 0.252666 0.108990i
\(41\) 3.37576 + 0.394570i 0.527206 + 0.0616215i 0.375532 0.926809i \(-0.377460\pi\)
0.151673 + 0.988431i \(0.451534\pi\)
\(42\) 1.05746 1.99372i 0.163169 0.307637i
\(43\) 0.322754 + 0.212278i 0.0492195 + 0.0323722i 0.573880 0.818939i \(-0.305437\pi\)
−0.524661 + 0.851311i \(0.675808\pi\)
\(44\) −1.63462 1.94807i −0.246429 0.293682i
\(45\) 1.79017 2.18082i 0.266863 0.325098i
\(46\) 2.87731 + 2.41435i 0.424236 + 0.355976i
\(47\) −7.34831 1.74158i −1.07186 0.254036i −0.343446 0.939172i \(-0.611594\pi\)
−0.728414 + 0.685137i \(0.759742\pi\)
\(48\) −3.68007 + 2.60652i −0.531172 + 0.376219i
\(49\) 0.427218 + 6.98695i 0.0610311 + 0.998136i
\(50\) −1.47421 + 1.39085i −0.208485 + 0.196696i
\(51\) −8.13460 1.63394i −1.13907 0.228797i
\(52\) 2.61110 1.94389i 0.362094 0.269569i
\(53\) 8.77949i 1.20596i −0.797758 0.602978i \(-0.793981\pi\)
0.797758 0.602978i \(-0.206019\pi\)
\(54\) 1.17786 2.27177i 0.160287 0.309149i
\(55\) −1.17855 0.680434i −0.158915 0.0917497i
\(56\) −1.93264 + 4.49823i −0.258260 + 0.601102i
\(57\) −0.640563 + 1.05117i −0.0848447 + 0.139230i
\(58\) 2.67657 0.634359i 0.351451 0.0832954i
\(59\) 0.249612 + 0.125360i 0.0324968 + 0.0163205i 0.464973 0.885325i \(-0.346064\pi\)
−0.432477 + 0.901645i \(0.642360\pi\)
\(60\) −1.62940 + 2.35396i −0.210355 + 0.303895i
\(61\) −13.6141 + 4.07580i −1.74311 + 0.521852i −0.990607 0.136738i \(-0.956338\pi\)
−0.752501 + 0.658591i \(0.771153\pi\)
\(62\) −1.70386 1.42971i −0.216391 0.181574i
\(63\) 0.558453 + 7.91758i 0.0703584 + 0.997522i
\(64\) 2.10910 1.76974i 0.263637 0.221218i
\(65\) 0.957245 1.45542i 0.118732 0.180523i
\(66\) −1.17369 0.381900i −0.144471 0.0470086i
\(67\) −4.28636 0.501003i −0.523662 0.0612073i −0.149844 0.988710i \(-0.547877\pi\)
−0.373818 + 0.927502i \(0.621951\pi\)
\(68\) 8.36192 + 0.977368i 1.01403 + 0.118523i
\(69\) −13.0809 1.84402i −1.57476 0.221994i
\(70\) −0.0694833 + 1.22345i −0.00830484 + 0.146230i
\(71\) 0.00646683 0.0177675i 0.000767472 0.00210861i −0.939308 0.343074i \(-0.888532\pi\)
0.940076 + 0.340966i \(0.110754\pi\)
\(72\) −2.14364 + 5.12078i −0.252630 + 0.603490i
\(73\) 1.35331 + 0.238624i 0.158392 + 0.0279289i 0.252282 0.967654i \(-0.418819\pi\)
−0.0938895 + 0.995583i \(0.529930\pi\)
\(74\) 0.0938594 0.396024i 0.0109109 0.0460368i
\(75\) 1.80773 6.89518i 0.208739 0.796187i
\(76\) 0.560563 1.11617i 0.0643010 0.128034i
\(77\) 3.72387 0.888261i 0.424374 0.101227i
\(78\) 0.575386 1.47143i 0.0651496 0.166606i
\(79\) 4.46787 + 6.00139i 0.502675 + 0.675210i 0.978953 0.204085i \(-0.0654219\pi\)
−0.476278 + 0.879295i \(0.658014\pi\)
\(80\) 1.22435 2.12064i 0.136887 0.237095i
\(81\) 0.717116 + 8.97138i 0.0796796 + 0.996821i
\(82\) −1.44954 + 0.836894i −0.160075 + 0.0924195i
\(83\) −2.66645 + 0.311664i −0.292681 + 0.0342095i −0.261167 0.965294i \(-0.584107\pi\)
−0.0315147 + 0.999503i \(0.510033\pi\)
\(84\) −1.22174 7.96053i −0.133303 0.868565i
\(85\) 4.38381 1.03898i 0.475491 0.112693i
\(86\) −0.189923 + 0.0110618i −0.0204799 + 0.00119282i
\(87\) −6.80382 + 6.87765i −0.729446 + 0.737362i
\(88\) 2.60539 + 0.617489i 0.277735 + 0.0658245i
\(89\) −0.935114 0.784654i −0.0991219 0.0831732i 0.591880 0.806026i \(-0.298386\pi\)
−0.691002 + 0.722853i \(0.742830\pi\)
\(90\) −0.0658159 + 1.38794i −0.00693760 + 0.146302i
\(91\) 0.857944 + 4.82484i 0.0899370 + 0.505781i
\(92\) 13.3814 + 0.779380i 1.39511 + 0.0812560i
\(93\) 7.74616 + 1.09198i 0.803239 + 0.113233i
\(94\) 3.41493 1.47306i 0.352223 0.151934i
\(95\) 0.0775969 0.663884i 0.00796128 0.0681131i
\(96\) 2.67059 8.20747i 0.272566 0.837672i
\(97\) 7.61842 + 15.1695i 0.773534 + 1.54023i 0.840089 + 0.542449i \(0.182503\pi\)
−0.0665550 + 0.997783i \(0.521201\pi\)
\(98\) −2.22351 2.63437i −0.224609 0.266112i
\(99\) 4.21287 1.04662i 0.423410 0.105189i
\(100\) −1.25597 + 7.12295i −0.125597 + 0.712295i
\(101\) 10.1430 10.7509i 1.00927 1.06976i 0.0117070 0.999931i \(-0.496273\pi\)
0.997559 0.0698280i \(-0.0222450\pi\)
\(102\) 3.69388 1.74681i 0.365748 0.172960i
\(103\) −4.87511 7.41224i −0.480358 0.730350i 0.511278 0.859416i \(-0.329172\pi\)
−0.991636 + 0.129066i \(0.958802\pi\)
\(104\) −0.983005 + 3.28347i −0.0963916 + 0.321970i
\(105\) −2.07137 3.77947i −0.202145 0.368838i
\(106\) 2.58191 + 3.46811i 0.250777 + 0.336853i
\(107\) 14.5370i 1.40535i −0.711511 0.702674i \(-0.751989\pi\)
0.711511 0.702674i \(-0.248011\pi\)
\(108\) −1.46964 9.01305i −0.141416 0.867281i
\(109\) 20.8387 1.99598 0.997992 0.0633350i \(-0.0201737\pi\)
0.997992 + 0.0633350i \(0.0201737\pi\)
\(110\) 0.665659 0.0778044i 0.0634681 0.00741836i
\(111\) 0.457571 + 1.35631i 0.0434308 + 0.128736i
\(112\) 1.59831 + 6.70061i 0.151026 + 0.633148i
\(113\) 4.55670 + 6.92813i 0.428659 + 0.651744i 0.983646 0.180115i \(-0.0576471\pi\)
−0.554987 + 0.831859i \(0.687277\pi\)
\(114\) −0.0560935 0.603615i −0.00525364 0.0565337i
\(115\) 6.87172 2.05726i 0.640791 0.191840i
\(116\) 6.30985 7.51979i 0.585855 0.698195i
\(117\) 1.02391 + 5.46152i 0.0946608 + 0.504918i
\(118\) −0.135469 + 0.0238869i −0.0124710 + 0.00219897i
\(119\) −6.94916 + 10.5990i −0.637028 + 0.971611i
\(120\) −0.103930 3.01255i −0.00948750 0.275007i
\(121\) 3.52759 + 8.17787i 0.320690 + 0.743442i
\(122\) 4.17927 5.61374i 0.378373 0.508244i
\(123\) 2.76587 5.19657i 0.249390 0.468559i
\(124\) −7.92413 0.461528i −0.711608 0.0414464i
\(125\) 1.48869 + 8.44278i 0.133152 + 0.755145i
\(126\) −2.54904 2.96340i −0.227087 0.264001i
\(127\) 2.23251 12.6612i 0.198103 1.12350i −0.709827 0.704376i \(-0.751227\pi\)
0.907930 0.419122i \(-0.137662\pi\)
\(128\) −2.61107 + 11.0170i −0.230788 + 0.973771i
\(129\) 0.546016 0.386733i 0.0480741 0.0340499i
\(130\) 0.0498817 + 0.856436i 0.00437492 + 0.0751144i
\(131\) −3.63512 + 12.1421i −0.317602 + 1.06086i 0.638937 + 0.769259i \(0.279374\pi\)
−0.956539 + 0.291605i \(0.905811\pi\)
\(132\) −4.17354 + 1.40800i −0.363260 + 0.122551i
\(133\) 1.12503 + 1.50663i 0.0975527 + 0.130641i
\(134\) 1.84055 1.06264i 0.158999 0.0917983i
\(135\) −2.38867 4.26337i −0.205584 0.366933i
\(136\) −7.67667 + 4.43213i −0.658269 + 0.380052i
\(137\) 0.944465 + 8.08041i 0.0806911 + 0.690356i 0.971675 + 0.236321i \(0.0759418\pi\)
−0.890984 + 0.454035i \(0.849984\pi\)
\(138\) 5.70957 3.11846i 0.486031 0.265461i
\(139\) −19.8221 5.93435i −1.68129 0.503345i −0.703106 0.711085i \(-0.748204\pi\)
−0.978184 + 0.207740i \(0.933389\pi\)
\(140\) 2.40835 + 3.65021i 0.203543 + 0.308499i
\(141\) −7.44457 + 10.7550i −0.626946 + 0.905736i
\(142\) 0.00267058 + 0.00892037i 0.000224110 + 0.000748581i
\(143\) 2.51850 0.916658i 0.210607 0.0766548i
\(144\) 1.88325 + 7.58050i 0.156938 + 0.631708i
\(145\) 1.79668 4.93633i 0.149206 0.409940i
\(146\) −0.604764 + 0.303724i −0.0500506 + 0.0251364i
\(147\) 11.5402 + 3.71814i 0.951817 + 0.306667i
\(148\) −0.575277 1.33364i −0.0472875 0.109625i
\(149\) 1.37322 11.7487i 0.112499 0.962488i −0.812616 0.582800i \(-0.801957\pi\)
0.925115 0.379688i \(-0.123969\pi\)
\(150\) 1.31367 + 3.25539i 0.107261 + 0.265801i
\(151\) 11.8155 + 7.77118i 0.961532 + 0.632410i 0.930182 0.367099i \(-0.119649\pi\)
0.0313503 + 0.999508i \(0.490019\pi\)
\(152\) 0.228367 + 1.29513i 0.0185230 + 0.105049i
\(153\) −7.76692 + 12.0913i −0.627918 + 0.977523i
\(154\) −1.20979 + 1.44602i −0.0974879 + 0.116523i
\(155\) −4.06925 + 1.21825i −0.326850 + 0.0978524i
\(156\) −1.48865 5.43815i −0.119187 0.435401i
\(157\) 5.28310 + 8.03256i 0.421637 + 0.641068i 0.982374 0.186926i \(-0.0598524\pi\)
−0.560737 + 0.827994i \(0.689482\pi\)
\(158\) −3.52983 1.05676i −0.280818 0.0840715i
\(159\) −14.1622 5.53800i −1.12314 0.439192i
\(160\) 0.544079 + 4.65490i 0.0430132 + 0.368002i
\(161\) −10.0642 + 17.4901i −0.793171 + 1.37841i
\(162\) −2.92162 3.33302i −0.229544 0.261867i
\(163\) −0.312236 0.540809i −0.0244562 0.0423594i 0.853538 0.521030i \(-0.174452\pi\)
−0.877994 + 0.478671i \(0.841119\pi\)
\(164\) −2.36586 + 5.48468i −0.184743 + 0.428282i
\(165\) −1.84102 + 1.47191i −0.143324 + 0.114588i
\(166\) 0.961657 0.907277i 0.0746391 0.0704183i
\(167\) −4.23789 2.12835i −0.327938 0.164697i 0.277211 0.960809i \(-0.410590\pi\)
−0.605149 + 0.796113i \(0.706886\pi\)
\(168\) 6.03704 + 5.95498i 0.465768 + 0.459437i
\(169\) −2.74450 9.16725i −0.211115 0.705173i
\(170\) −1.42616 + 1.69963i −0.109382 + 0.130356i
\(171\) 1.29158 + 1.69636i 0.0987696 + 0.129724i
\(172\) −0.520084 + 0.436402i −0.0396560 + 0.0332753i
\(173\) 15.4175 7.74297i 1.17217 0.588687i 0.247291 0.968941i \(-0.420460\pi\)
0.924882 + 0.380254i \(0.124163\pi\)
\(174\) 0.665061 4.71774i 0.0504181 0.357651i
\(175\) −8.74333 6.48955i −0.660934 0.490564i
\(176\) 3.45930 1.49220i 0.260755 0.112479i
\(177\) 0.359671 0.323575i 0.0270345 0.0243214i
\(178\) 0.600147 + 0.0349546i 0.0449829 + 0.00261996i
\(179\) −2.45722 + 0.433274i −0.183661 + 0.0323844i −0.264722 0.964325i \(-0.585280\pi\)
0.0810610 + 0.996709i \(0.474169\pi\)
\(180\) 2.76938 + 4.11324i 0.206417 + 0.306583i
\(181\) 7.21339 8.59658i 0.536167 0.638979i −0.428157 0.903704i \(-0.640837\pi\)
0.964324 + 0.264726i \(0.0852814\pi\)
\(182\) −1.75782 1.65362i −0.130298 0.122574i
\(183\) −2.01293 + 24.5320i −0.148800 + 1.81345i
\(184\) −11.7915 + 7.75538i −0.869279 + 0.571734i
\(185\) −0.533381 0.565351i −0.0392149 0.0415654i
\(186\) −3.38105 + 1.84667i −0.247911 + 0.135404i
\(187\) 6.36460 + 2.74542i 0.465426 + 0.200765i
\(188\) 6.63609 11.4940i 0.483987 0.838290i
\(189\) 13.1242 + 4.09347i 0.954642 + 0.297756i
\(190\) 0.164585 + 0.285070i 0.0119403 + 0.0206812i
\(191\) 1.38435 + 11.8439i 0.100168 + 0.856995i 0.946138 + 0.323764i \(0.104948\pi\)
−0.845970 + 0.533231i \(0.820978\pi\)
\(192\) −1.52439 4.51853i −0.110013 0.326097i
\(193\) 8.14994 1.93157i 0.586645 0.139037i 0.0734344 0.997300i \(-0.476604\pi\)
0.513211 + 0.858263i \(0.328456\pi\)
\(194\) −7.47058 3.75187i −0.536356 0.269368i
\(195\) −1.74393 2.46220i −0.124885 0.176322i
\(196\) −11.9788 2.80248i −0.855631 0.200177i
\(197\) −6.28798 1.10874i −0.448000 0.0789944i −0.0549033 0.998492i \(-0.517485\pi\)
−0.393096 + 0.919497i \(0.628596\pi\)
\(198\) −1.35639 + 1.65238i −0.0963945 + 0.117429i
\(199\) 4.27137 11.7355i 0.302789 0.831907i −0.691223 0.722641i \(-0.742928\pi\)
0.994013 0.109265i \(-0.0348498\pi\)
\(200\) −3.41783 6.80545i −0.241677 0.481218i
\(201\) −3.51195 + 6.59832i −0.247714 + 0.465409i
\(202\) −0.845040 + 7.22978i −0.0594568 + 0.508686i
\(203\) 5.87284 + 13.5608i 0.412192 + 0.951783i
\(204\) 6.85119 12.8721i 0.479679 0.901230i
\(205\) −0.185859 + 3.19108i −0.0129810 + 0.222875i
\(206\) 4.10561 + 1.49432i 0.286051 + 0.104114i
\(207\) −11.2259 + 19.9377i −0.780252 + 1.38577i
\(208\) 1.64940 + 4.53170i 0.114366 + 0.314217i
\(209\) 0.705705 0.748004i 0.0488146 0.0517405i
\(210\) 1.92972 + 0.883821i 0.133164 + 0.0609895i
\(211\) −13.4501 + 8.84630i −0.925946 + 0.609005i −0.920399 0.390980i \(-0.872136\pi\)
−0.00554724 + 0.999985i \(0.501766\pi\)
\(212\) 14.7815 + 4.42529i 1.01520 + 0.303930i
\(213\) −0.0245816 0.0216392i −0.00168430 0.00148269i
\(214\) 4.27512 + 5.74248i 0.292241 + 0.392548i
\(215\) −0.181658 + 0.314642i −0.0123890 + 0.0214584i
\(216\) 6.90817 + 6.68803i 0.470042 + 0.455063i
\(217\) 5.95976 10.3572i 0.404575 0.703089i
\(218\) −8.23178 + 6.12833i −0.557527 + 0.415063i
\(219\) 1.23857 2.03250i 0.0836951 0.137344i
\(220\) 1.73965 1.64127i 0.117287 0.110655i
\(221\) −3.98208 + 7.92898i −0.267864 + 0.533361i
\(222\) −0.579622 0.401212i −0.0389017 0.0269276i
\(223\) 4.82697 20.3666i 0.323238 1.36385i −0.532496 0.846432i \(-0.678746\pi\)
0.855734 0.517416i \(-0.173106\pi\)
\(224\) −10.1119 8.45998i −0.675627 0.565256i
\(225\) −9.98236 7.26546i −0.665491 0.484364i
\(226\) −3.83746 1.39672i −0.255264 0.0929086i
\(227\) 0.870186 14.9405i 0.0577563 0.991637i −0.837599 0.546285i \(-0.816041\pi\)
0.895356 0.445352i \(-0.146921\pi\)
\(228\) −1.44691 1.60832i −0.0958238 0.106513i
\(229\) −22.8431 17.0060i −1.50951 1.12379i −0.956925 0.290337i \(-0.906233\pi\)
−0.552589 0.833454i \(-0.686360\pi\)
\(230\) −2.10949 + 2.83353i −0.139095 + 0.186838i
\(231\) 0.916113 6.56730i 0.0602758 0.432096i
\(232\) −0.600970 + 10.3183i −0.0394556 + 0.677426i
\(233\) −4.93273 + 0.869774i −0.323154 + 0.0569808i −0.332872 0.942972i \(-0.608018\pi\)
0.00971795 + 0.999953i \(0.496907\pi\)
\(234\) −2.01062 1.85632i −0.131438 0.121351i
\(235\) 1.23333 6.99456i 0.0804535 0.456275i
\(236\) −0.336878 + 0.357069i −0.0219289 + 0.0232432i
\(237\) 12.4992 3.42154i 0.811908 0.222253i
\(238\) −0.371925 6.23051i −0.0241083 0.403864i
\(239\) −5.49478 23.1843i −0.355427 1.49967i −0.797848 0.602859i \(-0.794028\pi\)
0.442421 0.896808i \(-0.354120\pi\)
\(240\) −2.64851 3.31268i −0.170960 0.213832i
\(241\) 15.2095 + 6.56072i 0.979728 + 0.422613i 0.824869 0.565323i \(-0.191249\pi\)
0.154859 + 0.987937i \(0.450508\pi\)
\(242\) −3.79846 2.19304i −0.244175 0.140974i
\(243\) 14.9241 + 4.50226i 0.957383 + 0.288820i
\(244\) 24.9756i 1.59890i
\(245\) −6.53668 + 0.783194i −0.417613 + 0.0500364i
\(246\) 0.435644 + 2.86617i 0.0277756 + 0.182740i
\(247\) 0.903348 + 0.957493i 0.0574787 + 0.0609238i
\(248\) 6.98259 4.59252i 0.443395 0.291626i
\(249\) −1.17922 + 4.49786i −0.0747300 + 0.285040i
\(250\) −3.07096 2.89730i −0.194224 0.183241i
\(251\) −4.00418 + 1.45740i −0.252741 + 0.0919903i −0.465284 0.885161i \(-0.654048\pi\)
0.212543 + 0.977152i \(0.431826\pi\)
\(252\) −13.6118 3.05061i −0.857465 0.192170i
\(253\) 10.3705 + 3.77454i 0.651985 + 0.237303i
\(254\) 2.84156 + 5.65802i 0.178296 + 0.355016i
\(255\) 1.08927 7.72692i 0.0682125 0.483879i
\(256\) −0.0274831 0.0637130i −0.00171770 0.00398206i
\(257\) −10.1866 + 13.6829i −0.635421 + 0.853519i −0.996885 0.0788673i \(-0.974870\pi\)
0.361464 + 0.932386i \(0.382277\pi\)
\(258\) −0.101957 + 0.313344i −0.00634759 + 0.0195079i
\(259\) 2.18301 + 0.123979i 0.135646 + 0.00770371i
\(260\) 1.96790 + 2.34526i 0.122044 + 0.145447i
\(261\) 6.80261 + 15.3136i 0.421071 + 0.947889i
\(262\) −2.13486 5.86547i −0.131892 0.362370i
\(263\) −9.39586 8.86454i −0.579374 0.546611i 0.339783 0.940504i \(-0.389647\pi\)
−0.919156 + 0.393893i \(0.871128\pi\)
\(264\) 2.63952 3.81326i 0.162451 0.234690i
\(265\) 8.24306 0.480104i 0.506367 0.0294925i
\(266\) −0.887491 0.264300i −0.0544156 0.0162053i
\(267\) −1.85559 + 1.01349i −0.113560 + 0.0620244i
\(268\) 3.00404 6.96415i 0.183501 0.425403i
\(269\) −2.99609 5.18938i −0.182675 0.316402i 0.760116 0.649788i \(-0.225142\pi\)
−0.942791 + 0.333386i \(0.891809\pi\)
\(270\) 2.19737 + 0.981662i 0.133728 + 0.0597421i
\(271\) −2.96182 1.71001i −0.179918 0.103876i 0.407336 0.913278i \(-0.366458\pi\)
−0.587254 + 0.809403i \(0.699791\pi\)
\(272\) −4.94002 + 11.4523i −0.299533 + 0.694395i
\(273\) 8.32416 + 1.65950i 0.503801 + 0.100437i
\(274\) −2.74941 2.91420i −0.166098 0.176054i
\(275\) −2.67260 + 5.32159i −0.161164 + 0.320904i
\(276\) 9.69807 21.0940i 0.583755 1.26971i
\(277\) 0.419419 + 1.40096i 0.0252005 + 0.0841754i 0.969665 0.244439i \(-0.0786037\pi\)
−0.944464 + 0.328614i \(0.893418\pi\)
\(278\) 9.57541 3.48517i 0.574295 0.209026i
\(279\) 6.64766 11.8066i 0.397985 0.706840i
\(280\) −4.32908 1.56857i −0.258712 0.0937400i
\(281\) 4.27828 6.50481i 0.255221 0.388045i −0.685037 0.728509i \(-0.740214\pi\)
0.940258 + 0.340464i \(0.110584\pi\)
\(282\) −0.222099 6.43782i −0.0132258 0.383367i
\(283\) −15.8229 11.7797i −0.940574 0.700231i 0.0134666 0.999909i \(-0.495713\pi\)
−0.954040 + 0.299678i \(0.903121\pi\)
\(284\) 0.0266544 + 0.0198435i 0.00158165 + 0.00117749i
\(285\) −1.02197 0.543942i −0.0605361 0.0322203i
\(286\) −0.725292 + 1.10275i −0.0428874 + 0.0652071i
\(287\) −5.79005 6.88008i −0.341776 0.406119i
\(288\) −11.5549 9.48512i −0.680881 0.558916i
\(289\) −5.58850 + 2.03405i −0.328735 + 0.119650i
\(290\) 0.741967 + 2.47834i 0.0435698 + 0.145533i
\(291\) 29.2756 2.72056i 1.71617 0.159482i
\(292\) −1.08389 + 2.15820i −0.0634298 + 0.126299i
\(293\) −18.8352 19.9642i −1.10037 1.16632i −0.984921 0.173006i \(-0.944652\pi\)
−0.115445 0.993314i \(-0.536829\pi\)
\(294\) −5.65209 + 1.92503i −0.329636 + 0.112270i
\(295\) −0.104050 + 0.241216i −0.00605805 + 0.0140441i
\(296\) 1.32439 + 0.764635i 0.0769784 + 0.0444435i
\(297\) 0.969122 7.45600i 0.0562342 0.432641i
\(298\) 2.91264 + 5.04485i 0.168725 + 0.292240i
\(299\) −5.59534 + 12.9715i −0.323587 + 0.750159i
\(300\) 10.6978 + 6.51908i 0.617638 + 0.376379i
\(301\) −0.237143 0.994177i −0.0136687 0.0573034i
\(302\) −6.95279 + 0.404954i −0.400088 + 0.0233025i
\(303\) −10.9443 23.1433i −0.628735 1.32955i
\(304\) 1.34593 + 1.26982i 0.0771946 + 0.0728293i
\(305\) −4.57125 12.5594i −0.261749 0.719149i
\(306\) −0.487741 7.06048i −0.0278823 0.403621i
\(307\) −5.08930 6.06519i −0.290461 0.346158i 0.601005 0.799245i \(-0.294767\pi\)
−0.891466 + 0.453087i \(0.850323\pi\)
\(308\) −0.381499 + 6.71738i −0.0217379 + 0.382758i
\(309\) −15.0319 + 3.18851i −0.855133 + 0.181388i
\(310\) 1.24918 1.67794i 0.0709487 0.0953006i
\(311\) 7.32538 + 16.9821i 0.415384 + 0.962968i 0.989545 + 0.144226i \(0.0460691\pi\)
−0.574161 + 0.818743i \(0.694672\pi\)
\(312\) 4.67651 + 3.65686i 0.264755 + 0.207029i
\(313\) −4.57209 9.10378i −0.258430 0.514576i 0.726578 0.687083i \(-0.241109\pi\)
−0.985008 + 0.172508i \(0.944813\pi\)
\(314\) −4.44920 1.61938i −0.251083 0.0913868i
\(315\) −7.40327 + 0.957301i −0.417127 + 0.0539378i
\(316\) −12.3562 + 4.49729i −0.695091 + 0.252992i
\(317\) 12.9259 + 12.1949i 0.725989 + 0.684935i 0.957674 0.287855i \(-0.0929423\pi\)
−0.231685 + 0.972791i \(0.574424\pi\)
\(318\) 7.22306 1.97725i 0.405049 0.110879i
\(319\) 6.75252 4.44120i 0.378068 0.248659i
\(320\) 1.77695 + 1.88345i 0.0993343 + 0.105288i
\(321\) −23.4498 9.16979i −1.30884 0.511808i
\(322\) −1.16795 9.86873i −0.0650875 0.549963i
\(323\) 3.40446i 0.189429i
\(324\) −15.4660 3.31465i −0.859224 0.184147i
\(325\) −6.60153 3.81140i −0.366187 0.211418i
\(326\) 0.282384 + 0.121809i 0.0156398 + 0.00674636i
\(327\) 13.1448 33.6150i 0.726909 1.85891i
\(328\) −1.45039 6.11969i −0.0800845 0.337903i
\(329\) 11.0035 + 16.6775i 0.606643 + 0.919458i
\(330\) 0.294383 1.12286i 0.0162053 0.0618112i
\(331\) −4.13666 + 4.38460i −0.227371 + 0.240999i −0.831009 0.556260i \(-0.812236\pi\)
0.603637 + 0.797259i \(0.293717\pi\)
\(332\) 0.819292 4.64644i 0.0449645 0.255006i
\(333\) 2.47651 + 0.117436i 0.135712 + 0.00643544i
\(334\) 2.29998 0.405549i 0.125849 0.0221907i
\(335\) 0.235994 4.05186i 0.0128937 0.221377i
\(336\) 11.8170 + 1.64842i 0.644669 + 0.0899288i
\(337\) −7.10599 + 9.54500i −0.387088 + 0.519949i −0.952369 0.304949i \(-0.901361\pi\)
0.565281 + 0.824899i \(0.308768\pi\)
\(338\) 3.78009 + 2.81417i 0.205610 + 0.153071i
\(339\) 14.0501 2.98026i 0.763097 0.161866i
\(340\) −0.460382 + 7.90445i −0.0249677 + 0.428679i
\(341\) −6.14110 2.23518i −0.332559 0.121042i
\(342\) −1.00908 0.290268i −0.0545647 0.0156959i
\(343\) 11.8429 14.2388i 0.639459 0.768825i
\(344\) 0.164854 0.695572i 0.00888831 0.0375027i
\(345\) 1.01602 12.3825i 0.0547009 0.666651i
\(346\) −3.81320 + 7.59271i −0.204999 + 0.408187i
\(347\) 15.7935 14.9004i 0.847841 0.799897i −0.133725 0.991018i \(-0.542694\pi\)
0.981566 + 0.191122i \(0.0612126\pi\)
\(348\) −8.15003 14.9218i −0.436887 0.799895i
\(349\) 12.2562 9.12444i 0.656062 0.488420i −0.216909 0.976192i \(-0.569598\pi\)
0.872971 + 0.487772i \(0.162190\pi\)
\(350\) 5.36230 0.00775240i 0.286627 0.000414383i
\(351\) 9.45588 + 1.79338i 0.504718 + 0.0957238i
\(352\) −3.60524 + 6.24445i −0.192160 + 0.332831i
\(353\) 2.89222 + 3.88492i 0.153937 + 0.206773i 0.872401 0.488791i \(-0.162562\pi\)
−0.718464 + 0.695564i \(0.755154\pi\)
\(354\) −0.0469203 + 0.233594i −0.00249379 + 0.0124154i
\(355\) 0.0170355 + 0.00510009i 0.000904151 + 0.000270685i
\(356\) 1.79242 1.17889i 0.0949979 0.0624811i
\(357\) 12.7139 + 17.8955i 0.672891 + 0.947128i
\(358\) 0.843241 0.893783i 0.0445667 0.0472379i
\(359\) 5.45701 + 14.9930i 0.288010 + 0.791301i 0.996345 + 0.0854240i \(0.0272245\pi\)
−0.708335 + 0.705877i \(0.750553\pi\)
\(360\) −4.92512 1.73263i −0.259577 0.0913176i
\(361\) −17.3795 6.32563i −0.914712 0.332928i
\(362\) −0.321340 + 5.51720i −0.0168893 + 0.289977i
\(363\) 15.4169 0.531870i 0.809178 0.0279159i
\(364\) −8.55573 0.987486i −0.448442 0.0517583i
\(365\) −0.150039 + 1.28367i −0.00785341 + 0.0671902i
\(366\) −6.41931 10.2827i −0.335543 0.537484i
\(367\) 4.51023 + 8.98061i 0.235432 + 0.468784i 0.980062 0.198694i \(-0.0636700\pi\)
−0.744629 + 0.667478i \(0.767374\pi\)
\(368\) −6.79178 + 18.6603i −0.354046 + 0.972733i
\(369\) −6.63793 7.73957i −0.345557 0.402906i
\(370\) 0.376959 + 0.0664681i 0.0195972 + 0.00345551i
\(371\) −15.9158 + 16.9187i −0.826308 + 0.878376i
\(372\) −5.74293 + 12.4913i −0.297757 + 0.647645i
\(373\) −0.250707 0.125910i −0.0129811 0.00651936i 0.442297 0.896869i \(-0.354164\pi\)
−0.455278 + 0.890349i \(0.650460\pi\)
\(374\) −3.32156 + 0.787223i −0.171754 + 0.0407063i
\(375\) 14.5581 + 2.92419i 0.751779 + 0.151004i
\(376\) 1.62233 + 13.8799i 0.0836650 + 0.715800i
\(377\) 5.17282 + 8.95959i 0.266414 + 0.461442i
\(378\) −6.38818 + 2.24259i −0.328573 + 0.115346i
\(379\) 7.33711 12.7082i 0.376882 0.652779i −0.613725 0.789520i \(-0.710330\pi\)
0.990607 + 0.136741i \(0.0436629\pi\)
\(380\) 1.07863 + 0.465275i 0.0553325 + 0.0238681i
\(381\) −19.0156 11.5878i −0.974198 0.593661i
\(382\) −4.02996 4.27151i −0.206191 0.218549i
\(383\) −28.0322 + 18.4371i −1.43238 + 0.942091i −0.433212 + 0.901292i \(0.642620\pi\)
−0.999167 + 0.0407985i \(0.987010\pi\)
\(384\) 16.1245 + 11.1613i 0.822849 + 0.569572i
\(385\) 1.03763 + 3.44776i 0.0528823 + 0.175714i
\(386\) −2.65137 + 3.15979i −0.134951 + 0.160829i
\(387\) −0.279420 1.12473i −0.0142037 0.0571731i
\(388\) −29.3800 + 5.18049i −1.49155 + 0.263000i
\(389\) −20.3654 1.18615i −1.03256 0.0601400i −0.466517 0.884512i \(-0.654491\pi\)
−0.566048 + 0.824372i \(0.691528\pi\)
\(390\) 1.41299 + 0.459765i 0.0715493 + 0.0232811i
\(391\) −33.5475 + 14.4710i −1.69657 + 0.731828i
\(392\) 11.8789 5.16486i 0.599976 0.260865i
\(393\) 17.2936 + 13.5229i 0.872345 + 0.682142i
\(394\) 2.80996 1.41122i 0.141564 0.0710961i
\(395\) −5.39038 + 4.52307i −0.271220 + 0.227580i
\(396\) −0.361363 + 7.62050i −0.0181592 + 0.382944i
\(397\) −9.57803 + 11.4146i −0.480707 + 0.572885i −0.950829 0.309717i \(-0.899766\pi\)
0.470121 + 0.882602i \(0.344210\pi\)
\(398\) 1.76393 + 5.89194i 0.0884179 + 0.295336i
\(399\) 3.14001 0.864433i 0.157197 0.0432758i
\(400\) −9.57549 4.80899i −0.478774 0.240449i
\(401\) 19.7784 18.6599i 0.987685 0.931833i −0.00999199 0.999950i \(-0.503181\pi\)
0.997677 + 0.0681170i \(0.0216991\pi\)
\(402\) −0.553157 3.63930i −0.0275890 0.181512i
\(403\) 3.31341 7.68135i 0.165053 0.382635i
\(404\) 12.9882 + 22.4961i 0.646185 + 1.11922i
\(405\) −8.38401 + 1.16390i −0.416605 + 0.0578345i
\(406\) −6.30794 3.62974i −0.313058 0.180141i
\(407\) −0.138827 1.18774i −0.00688139 0.0588741i
\(408\) 2.30714 + 15.1790i 0.114220 + 0.751473i
\(409\) −1.98746 0.595007i −0.0982737 0.0294212i 0.237289 0.971439i \(-0.423741\pi\)
−0.335563 + 0.942018i \(0.608926\pi\)
\(410\) −0.865027 1.31521i −0.0427207 0.0649536i
\(411\) 13.6303 + 3.57350i 0.672334 + 0.176268i
\(412\) 14.9368 4.47179i 0.735884 0.220309i
\(413\) −0.253763 0.694085i −0.0124869 0.0341537i
\(414\) −1.42888 11.1772i −0.0702254 0.549330i
\(415\) −0.438435 2.48649i −0.0215219 0.122057i
\(416\) −7.71145 5.07190i −0.378085 0.248670i
\(417\) −22.0763 + 28.2318i −1.08108 + 1.38252i
\(418\) −0.0587942 + 0.503016i −0.00287572 + 0.0246033i
\(419\) 2.57650 + 5.97301i 0.125870 + 0.291801i 0.969486 0.245147i \(-0.0788364\pi\)
−0.843615 + 0.536948i \(0.819577\pi\)
\(420\) 7.40733 1.58241i 0.361441 0.0772137i
\(421\) −27.2796 + 13.7003i −1.32953 + 0.667714i −0.964698 0.263360i \(-0.915169\pi\)
−0.364830 + 0.931074i \(0.618873\pi\)
\(422\) 2.71157 7.44998i 0.131997 0.362659i
\(423\) 12.6530 + 18.7930i 0.615211 + 0.913747i
\(424\) −15.2663 + 5.55647i −0.741396 + 0.269846i
\(425\) −5.65417 18.8862i −0.274267 0.916117i
\(426\) 0.0160741 + 0.00131893i 0.000778791 + 6.39023e-5i
\(427\) 33.6242 + 16.8259i 1.62719 + 0.814260i
\(428\) 24.4751 + 7.32737i 1.18305 + 0.354182i
\(429\) 0.109972 4.64082i 0.00530948 0.224061i
\(430\) −0.0207718 0.177714i −0.00100170 0.00857012i
\(431\) 23.1761 13.3807i 1.11635 0.644526i 0.175885 0.984411i \(-0.443721\pi\)
0.940467 + 0.339884i \(0.110388\pi\)
\(432\) 13.4161 + 1.74381i 0.645481 + 0.0838989i
\(433\) −3.00610 + 1.73557i −0.144464 + 0.0834064i −0.570490 0.821305i \(-0.693247\pi\)
0.426026 + 0.904711i \(0.359913\pi\)
\(434\) 0.691630 + 5.84399i 0.0331993 + 0.280521i
\(435\) −6.82949 6.01200i −0.327449 0.288253i
\(436\) −10.5037 + 35.0848i −0.503036 + 1.68026i
\(437\) 0.315171 + 5.41127i 0.0150767 + 0.258856i
\(438\) 0.108461 + 1.16713i 0.00518245 + 0.0557678i
\(439\) 6.86358 28.9597i 0.327581 1.38217i −0.521203 0.853433i \(-0.674517\pi\)
0.848784 0.528740i \(-0.177335\pi\)
\(440\) −0.437285 + 2.47997i −0.0208467 + 0.118228i
\(441\) 13.2771 16.2701i 0.632245 0.774769i
\(442\) −0.758771 4.30320i −0.0360911 0.204683i
\(443\) 2.38243 + 0.138761i 0.113193 + 0.00659271i 0.114648 0.993406i \(-0.463426\pi\)
−0.00145504 + 0.999999i \(0.500463\pi\)
\(444\) −2.51418 + 0.0867370i −0.119318 + 0.00411636i
\(445\) 0.685575 0.920887i 0.0324994 0.0436542i
\(446\) 4.08273 + 9.46483i 0.193323 + 0.448173i
\(447\) −18.0856 9.62606i −0.855420 0.455297i
\(448\) −7.27265 0.413034i −0.343600 0.0195140i
\(449\) 20.6783 3.64615i 0.975871 0.172072i 0.337099 0.941469i \(-0.390554\pi\)
0.638771 + 0.769397i \(0.279443\pi\)
\(450\) 6.07993 0.0656247i 0.286611 0.00309358i
\(451\) −3.16117 + 3.76733i −0.148854 + 0.177397i
\(452\) −13.9613 + 4.17973i −0.656683 + 0.196598i
\(453\) 19.9888 14.1577i 0.939156 0.665186i
\(454\) 4.05003 + 6.15777i 0.190077 + 0.288999i
\(455\) −4.48312 + 1.06937i −0.210172 + 0.0501327i
\(456\) 2.23323 + 0.448574i 0.104581 + 0.0210064i
\(457\) −22.4269 + 2.62133i −1.04909 + 0.122621i −0.623126 0.782121i \(-0.714138\pi\)
−0.425960 + 0.904742i \(0.640064\pi\)
\(458\) 14.0248 0.655335
\(459\) 14.6052 + 20.1559i 0.681714 + 0.940797i
\(460\) 12.6064i 0.587779i
\(461\) −0.661983 0.889197i −0.0308316 0.0414140i 0.786440 0.617667i \(-0.211922\pi\)
−0.817272 + 0.576253i \(0.804514\pi\)
\(462\) 1.56945 + 2.86365i 0.0730176 + 0.133229i
\(463\) 0.979790 3.27273i 0.0455347 0.152096i −0.932199 0.361946i \(-0.882112\pi\)
0.977734 + 0.209850i \(0.0672975\pi\)
\(464\) 7.99135 + 12.1503i 0.370989 + 0.564061i
\(465\) −0.601662 + 7.33258i −0.0279014 + 0.340040i
\(466\) 1.69276 1.79422i 0.0784156 0.0831157i
\(467\) 0.837890 4.75191i 0.0387729 0.219892i −0.959265 0.282509i \(-0.908833\pi\)
0.998038 + 0.0626165i \(0.0199445\pi\)
\(468\) −9.71133 1.02897i −0.448907 0.0475643i
\(469\) 7.35188 + 8.73595i 0.339478 + 0.403389i
\(470\) 1.56980 + 3.12572i 0.0724093 + 0.144179i
\(471\) 16.2899 3.45535i 0.750598 0.159214i
\(472\) 0.0600054 0.513379i 0.00276197 0.0236302i
\(473\) −0.513261 + 0.221399i −0.0235997 + 0.0101799i
\(474\) −3.93124 + 5.02740i −0.180568 + 0.230916i
\(475\) −2.91991 0.170065i −0.133975 0.00780313i
\(476\) −14.3422 17.0423i −0.657374 0.781132i
\(477\) −17.8667 + 19.3519i −0.818062 + 0.886062i
\(478\) 8.98870 + 7.54242i 0.411134 + 0.344982i
\(479\) −26.7894 6.34921i −1.22404 0.290103i −0.432733 0.901522i \(-0.642451\pi\)
−0.791307 + 0.611419i \(0.790599\pi\)
\(480\) 7.85203 + 2.05859i 0.358395 + 0.0939615i
\(481\) 1.52814 0.0890043i 0.0696774 0.00405825i
\(482\) −7.93751 + 1.88122i −0.361544 + 0.0856874i
\(483\) 21.8650 + 27.2672i 0.994890 + 1.24070i
\(484\) −15.5466 + 1.81714i −0.706666 + 0.0825974i
\(485\) −13.8260 + 7.98247i −0.627808 + 0.362465i
\(486\) −7.21943 + 2.61046i −0.327480 + 0.118413i
\(487\) 20.3703 35.2825i 0.923069 1.59880i 0.128430 0.991719i \(-0.459006\pi\)
0.794638 0.607083i \(-0.207660\pi\)
\(488\) 15.7035 + 21.0934i 0.710864 + 0.954855i
\(489\) −1.06934 + 0.162534i −0.0483571 + 0.00735005i
\(490\) 2.35182 2.23172i 0.106244 0.100819i
\(491\) 18.0211 35.8830i 0.813281 1.61938i 0.0285071 0.999594i \(-0.490925\pi\)
0.784774 0.619782i \(-0.212779\pi\)
\(492\) 7.35501 + 7.27605i 0.331589 + 0.328030i
\(493\) −6.17046 + 26.0352i −0.277903 + 1.17257i
\(494\) −0.638428 0.112572i −0.0287242 0.00506486i
\(495\) 1.21305 + 3.89823i 0.0545225 + 0.175212i
\(496\) 4.02191 11.0501i 0.180589 0.496164i
\(497\) −0.0446716 + 0.0225159i −0.00200380 + 0.00100997i
\(498\) −0.856931 2.12355i −0.0384000 0.0951587i
\(499\) −10.2635 1.19963i −0.459457 0.0537028i −0.116783 0.993157i \(-0.537258\pi\)
−0.342673 + 0.939455i \(0.611332\pi\)
\(500\) −14.9650 1.74915i −0.669253 0.0782245i
\(501\) −6.10646 + 5.49363i −0.272816 + 0.245437i
\(502\) 1.15315 1.75327i 0.0514675 0.0782525i
\(503\) −21.8224 + 18.3111i −0.973011 + 0.816453i −0.983020 0.183497i \(-0.941258\pi\)
0.0100094 + 0.999950i \(0.496814\pi\)
\(504\) 13.4141 5.98204i 0.597512 0.266461i
\(505\) 10.6487 + 8.93534i 0.473862 + 0.397617i
\(506\) −5.20661 + 1.55876i −0.231462 + 0.0692952i
\(507\) −16.5189 1.35543i −0.733632 0.0601969i
\(508\) 20.1916 + 10.1406i 0.895856 + 0.449916i
\(509\) 42.8728 10.1611i 1.90031 0.450381i 0.900424 0.435014i \(-0.143257\pi\)
0.999882 0.0153664i \(-0.00489146\pi\)
\(510\) 1.84208 + 3.37266i 0.0815687 + 0.149344i
\(511\) −2.17533 2.91317i −0.0962310 0.128871i
\(512\) −19.5809 11.3051i −0.865364 0.499618i
\(513\) 3.55112 1.01341i 0.156786 0.0447433i
\(514\) 8.40080i 0.370544i
\(515\) 6.69275 4.98257i 0.294918 0.219558i
\(516\) 0.375900 + 1.11423i 0.0165481 + 0.0490511i
\(517\) 7.94829 7.49883i 0.349565 0.329798i
\(518\) −0.898802 + 0.593014i −0.0394911 + 0.0260556i
\(519\) −2.76504 29.7543i −0.121372 1.30607i
\(520\) −3.13660 0.743387i −0.137549 0.0325997i
\(521\) 16.7415 + 14.0478i 0.733457 + 0.615443i 0.931072 0.364836i \(-0.118875\pi\)
−0.197615 + 0.980280i \(0.563320\pi\)
\(522\) −7.19069 4.04870i −0.314728 0.177207i
\(523\) −1.45070 1.72888i −0.0634348 0.0755986i 0.733394 0.679804i \(-0.237935\pi\)
−0.796829 + 0.604205i \(0.793491\pi\)
\(524\) −18.6107 12.2404i −0.813012 0.534726i
\(525\) −15.9835 + 10.0104i −0.697577 + 0.436889i
\(526\) 6.31851 + 0.738528i 0.275500 + 0.0322014i
\(527\) 19.8659 8.56931i 0.865372 0.373285i
\(528\) −0.224985 6.52147i −0.00979122 0.283811i
\(529\) −31.4293 + 15.7844i −1.36649 + 0.686277i
\(530\) −3.11501 + 2.61381i −0.135308 + 0.113537i
\(531\) −0.295085 0.784295i −0.0128056 0.0340355i
\(532\) −3.10369 + 1.13473i −0.134562 + 0.0491970i
\(533\) −4.57899 4.32005i −0.198338 0.187122i
\(534\) 0.434951 0.946051i 0.0188222 0.0409396i
\(535\) 13.6488 0.794953i 0.590090 0.0343688i
\(536\) 1.84163 + 7.77044i 0.0795462 + 0.335632i
\(537\) −0.851067 + 4.23705i −0.0367263 + 0.182842i
\(538\) 2.70964 + 1.16883i 0.116821 + 0.0503917i
\(539\) −8.78644 5.03904i −0.378459 0.217047i
\(540\) 8.38198 1.87272i 0.360703 0.0805889i
\(541\) 2.70199 0.116167 0.0580837 0.998312i \(-0.481501\pi\)
0.0580837 + 0.998312i \(0.481501\pi\)
\(542\) 1.67288 0.195531i 0.0718562 0.00839879i
\(543\) −9.31707 17.0586i −0.399834 0.732053i
\(544\) −5.50498 23.2273i −0.236024 0.995864i
\(545\) 1.13956 + 19.5654i 0.0488132 + 0.838091i
\(546\) −3.77627 + 1.79246i −0.161610 + 0.0767103i
\(547\) 38.8916 + 9.21749i 1.66289 + 0.394111i 0.951246 0.308432i \(-0.0998043\pi\)
0.711641 + 0.702544i \(0.247952\pi\)
\(548\) −14.0805 2.48278i −0.601491 0.106059i
\(549\) 38.3029 + 18.7215i 1.63473 + 0.799015i
\(550\) −0.509254 2.88812i −0.0217147 0.123150i
\(551\) 3.31656 + 2.18134i 0.141290 + 0.0929281i
\(552\) 5.07232 + 23.9129i 0.215892 + 1.01780i
\(553\) 2.26966 19.6647i 0.0965156 0.836227i
\(554\) −0.577681 0.430067i −0.0245433 0.0182718i
\(555\) −1.24842 + 0.503783i −0.0529925 + 0.0213844i
\(556\) 19.9826 30.3821i 0.847451 1.28849i
\(557\) 5.29406 + 6.30921i 0.224316 + 0.267330i 0.866451 0.499262i \(-0.166395\pi\)
−0.642135 + 0.766592i \(0.721951\pi\)
\(558\) 0.846141 + 6.61885i 0.0358200 + 0.280198i
\(559\) −0.244724 0.672374i −0.0103507 0.0284384i
\(560\) −6.20379 + 1.86707i −0.262158 + 0.0788981i
\(561\) 8.44336 8.53499i 0.356479 0.360348i
\(562\) 0.222940 + 3.82773i 0.00940416 + 0.161463i
\(563\) −5.56452 + 18.5868i −0.234516 + 0.783339i 0.757007 + 0.653407i \(0.226661\pi\)
−0.991523 + 0.129932i \(0.958524\pi\)
\(564\) −14.3551 17.9550i −0.604460 0.756043i
\(565\) −6.25564 + 4.65715i −0.263177 + 0.195928i
\(566\) 9.71465 0.408337
\(567\) 14.8818 18.5885i 0.624975 0.780645i
\(568\) −0.0349879 −0.00146806
\(569\) 33.7243 25.1068i 1.41380 1.05253i 0.424690 0.905339i \(-0.360383\pi\)
0.989108 0.147195i \(-0.0470245\pi\)
\(570\) 0.563666 0.0856746i 0.0236094 0.00358851i
\(571\) 10.6192 35.4705i 0.444398 1.48439i −0.383514 0.923535i \(-0.625286\pi\)
0.827912 0.560858i \(-0.189528\pi\)
\(572\) 0.273876 + 4.70228i 0.0114514 + 0.196612i
\(573\) 19.9787 + 5.23788i 0.834622 + 0.218816i
\(574\) 4.31053 + 1.01504i 0.179918 + 0.0423668i
\(575\) −10.7355 29.4955i −0.447701 1.23005i
\(576\) −8.25042 0.391234i −0.343768 0.0163014i
\(577\) 8.24096 + 9.82119i 0.343076 + 0.408861i 0.909801 0.415045i \(-0.136234\pi\)
−0.566725 + 0.823907i \(0.691790\pi\)
\(578\) 1.60941 2.44699i 0.0669426 0.101781i
\(579\) 2.02505 14.3651i 0.0841584 0.596994i
\(580\) 7.40538 + 5.51310i 0.307492 + 0.228919i
\(581\) 5.70344 + 4.23326i 0.236619 + 0.175625i
\(582\) −10.7645 + 9.68420i −0.446203 + 0.401423i
\(583\) 10.6138 + 6.98081i 0.439579 + 0.289116i
\(584\) −0.441563 2.50423i −0.0182720 0.103626i
\(585\) −5.07183 + 1.26001i −0.209694 + 0.0520951i
\(586\) 13.3115 + 2.34718i 0.549894 + 0.0969611i
\(587\) −6.14444 1.45626i −0.253608 0.0601063i 0.101845 0.994800i \(-0.467525\pi\)
−0.355453 + 0.934694i \(0.615674\pi\)
\(588\) −12.0768 + 17.5553i −0.498039 + 0.723970i
\(589\) −0.186635 3.20441i −0.00769018 0.132035i
\(590\) −0.0298355 0.125886i −0.00122831 0.00518263i
\(591\) −5.75489 + 9.44378i −0.236725 + 0.388465i
\(592\) 2.13718 0.249800i 0.0878375 0.0102667i
\(593\) −0.0310954 −0.00127694 −0.000638468 1.00000i \(-0.500203\pi\)
−0.000638468 1.00000i \(0.500203\pi\)
\(594\) 1.80987 + 3.23030i 0.0742597 + 0.132541i
\(595\) −10.3314 5.94495i −0.423547 0.243719i
\(596\) 19.0883 + 8.23390i 0.781888 + 0.337274i
\(597\) −16.2362 14.2928i −0.664505 0.584964i
\(598\) −1.60441 6.76954i −0.0656092 0.276827i
\(599\) −40.3665 + 2.35108i −1.64933 + 0.0960626i −0.857434 0.514593i \(-0.827943\pi\)
−0.791896 + 0.610656i \(0.790906\pi\)
\(600\) −13.1338 + 1.22052i −0.536187 + 0.0498274i
\(601\) 10.8682 + 10.2536i 0.443322 + 0.418253i 0.875262 0.483650i \(-0.160689\pi\)
−0.431939 + 0.901903i \(0.642171\pi\)
\(602\) 0.386049 + 0.322984i 0.0157342 + 0.0131638i
\(603\) 8.42848 + 9.82729i 0.343234 + 0.400198i
\(604\) −19.0394 + 15.9760i −0.774704 + 0.650054i
\(605\) −7.48529 + 3.75925i −0.304320 + 0.152835i
\(606\) 11.1294 + 5.92359i 0.452099 + 0.240630i
\(607\) 4.05572 1.74947i 0.164617 0.0710087i −0.312177 0.950024i \(-0.601058\pi\)
0.476794 + 0.879015i \(0.341799\pi\)
\(608\) −3.51755 0.411142i −0.142655 0.0166740i
\(609\) 25.5795 0.919499i 1.03654 0.0372600i
\(610\) 5.49927 + 3.61693i 0.222659 + 0.146445i
\(611\) 8.99116 + 10.7152i 0.363743 + 0.433492i
\(612\) −16.4425 19.1713i −0.664647 0.774953i
\(613\) 24.5386 + 20.5903i 0.991104 + 0.831635i 0.985727 0.168350i \(-0.0538440\pi\)
0.00537688 + 0.999986i \(0.498288\pi\)
\(614\) 3.79407 + 0.899211i 0.153116 + 0.0362892i
\(615\) 5.03031 + 2.31270i 0.202841 + 0.0932572i
\(616\) −3.90137 5.91310i −0.157191 0.238246i
\(617\) 14.4537 13.6364i 0.581884 0.548979i −0.338012 0.941142i \(-0.609754\pi\)
0.919896 + 0.392163i \(0.128273\pi\)
\(618\) 5.00026 5.68018i 0.201140 0.228490i
\(619\) −6.57713 + 4.89649i −0.264357 + 0.196807i −0.721174 0.692754i \(-0.756397\pi\)
0.456816 + 0.889561i \(0.348990\pi\)
\(620\) 7.46520i 0.299809i
\(621\) 25.0804 + 30.6850i 1.00644 + 1.23135i
\(622\) −7.88788 4.55407i −0.316275 0.182602i
\(623\) 0.379581 + 3.20730i 0.0152076 + 0.128498i
\(624\) 8.35053 + 0.197879i 0.334289 + 0.00792152i
\(625\) 12.1772 2.88605i 0.487089 0.115442i
\(626\) 4.48336 + 2.25163i 0.179191 + 0.0899932i
\(627\) −0.761458 1.61021i −0.0304097 0.0643055i
\(628\) −16.1869 + 4.84603i −0.645926 + 0.193378i
\(629\) 3.03267 + 2.54471i 0.120920 + 0.101464i
\(630\) 2.64294 2.55534i 0.105297 0.101807i
\(631\) 17.2785 14.4984i 0.687848 0.577173i −0.230440 0.973087i \(-0.574016\pi\)
0.918288 + 0.395914i \(0.129572\pi\)
\(632\) 7.60788 11.5672i 0.302625 0.460119i
\(633\) 5.78582 + 27.2766i 0.229966 + 1.08415i
\(634\) −8.69237 1.01599i −0.345218 0.0403502i
\(635\) 12.0097 + 1.40373i 0.476589 + 0.0557053i
\(636\) 16.4624 21.0527i 0.652778 0.834793i
\(637\) 7.09335 10.8531i 0.281049 0.430017i
\(638\) −1.36132 + 3.74019i −0.0538951 + 0.148076i
\(639\) −0.0504120 + 0.0260030i −0.00199427 + 0.00102866i
\(640\) −10.4866 1.84907i −0.414519 0.0730909i
\(641\) −3.31694 + 13.9953i −0.131011 + 0.552780i 0.867460 + 0.497507i \(0.165751\pi\)
−0.998471 + 0.0552733i \(0.982397\pi\)
\(642\) 11.9599 3.27393i 0.472020 0.129212i
\(643\) −1.18521 + 2.35995i −0.0467401 + 0.0930673i −0.915790 0.401657i \(-0.868435\pi\)
0.869050 + 0.494724i \(0.164731\pi\)
\(644\) −24.3741 25.7603i −0.960475 1.01510i
\(645\) 0.392962 + 0.491506i 0.0154729 + 0.0193530i
\(646\) −1.00120 1.34484i −0.0393917 0.0529122i
\(647\) −9.26631 + 16.0497i −0.364296 + 0.630979i −0.988663 0.150152i \(-0.952024\pi\)
0.624367 + 0.781131i \(0.285357\pi\)
\(648\) 15.1461 6.92488i 0.594995 0.272035i
\(649\) −0.350025 + 0.202087i −0.0137397 + 0.00793262i
\(650\) 3.72863 0.435815i 0.146249 0.0170941i
\(651\) −12.9478 16.1469i −0.507465 0.632846i
\(652\) 1.06791 0.253099i 0.0418226 0.00991213i
\(653\) −31.1436 + 1.81391i −1.21874 + 0.0709838i −0.655428 0.755257i \(-0.727512\pi\)
−0.563317 + 0.826241i \(0.690475\pi\)
\(654\) 4.69314 + 17.1444i 0.183516 + 0.670399i
\(655\) −11.5990 2.74902i −0.453212 0.107413i
\(656\) −6.77882 5.68810i −0.264668 0.222083i
\(657\) −2.49736 3.28003i −0.0974314 0.127966i
\(658\) −9.25123 3.35203i −0.360650 0.130676i
\(659\) 37.0365 + 2.15713i 1.44274 + 0.0840298i 0.761562 0.648092i \(-0.224433\pi\)
0.681174 + 0.732122i \(0.261470\pi\)
\(660\) −1.55020 3.84153i −0.0603414 0.149531i
\(661\) −6.68156 + 2.88214i −0.259883 + 0.112102i −0.522035 0.852924i \(-0.674827\pi\)
0.262152 + 0.965026i \(0.415568\pi\)
\(662\) 0.344636 2.94855i 0.0133947 0.114599i
\(663\) 10.2784 + 11.4250i 0.399181 + 0.443711i
\(664\) 2.22951 + 4.43933i 0.0865220 + 0.172279i
\(665\) −1.35305 + 1.13868i −0.0524691 + 0.0441562i
\(666\) −1.01282 + 0.681912i −0.0392458 + 0.0264236i
\(667\) −7.39749 + 41.9532i −0.286432 + 1.62444i
\(668\) 5.71947 6.06228i 0.221293 0.234557i
\(669\) −29.8087 20.6334i −1.15247 0.797734i
\(670\) 1.09836 + 1.66998i 0.0424335 + 0.0645170i
\(671\) 5.89759 19.6993i 0.227674 0.760484i
\(672\) −20.0253 + 10.9750i −0.772491 + 0.423371i
\(673\) 29.0008 + 38.9548i 1.11790 + 1.50160i 0.841265 + 0.540622i \(0.181811\pi\)
0.276633 + 0.960976i \(0.410781\pi\)
\(674\) 5.86027i 0.225729i
\(675\) −18.0167 + 11.5196i −0.693463 + 0.443391i
\(676\) 16.8177 0.646834
\(677\) −37.1404 + 4.34109i −1.42742 + 0.166842i −0.794448 0.607332i \(-0.792240\pi\)
−0.632973 + 0.774174i \(0.718166\pi\)
\(678\) −4.67368 + 5.30919i −0.179492 + 0.203898i
\(679\) 12.8187 43.0438i 0.491936 1.65187i
\(680\) −4.58112 6.96525i −0.175678 0.267105i
\(681\) −23.5517 10.8280i −0.902504 0.414930i
\(682\) 3.08321 0.923054i 0.118062 0.0353455i
\(683\) 1.66464 1.98384i 0.0636955 0.0759094i −0.733256 0.679953i \(-0.762000\pi\)
0.796951 + 0.604043i \(0.206445\pi\)
\(684\) −3.50707 + 1.31951i −0.134096 + 0.0504526i
\(685\) −7.53505 + 1.32863i −0.287899 + 0.0507644i
\(686\) −0.490827 + 9.10751i −0.0187399 + 0.347726i
\(687\) −41.8417 + 26.1211i −1.59636 + 0.996581i
\(688\) −0.398378 0.923544i −0.0151880 0.0352098i
\(689\) −9.71075 + 13.0438i −0.369950 + 0.496929i
\(690\) 3.24015 + 5.19018i 0.123350 + 0.197587i
\(691\) −46.1011 2.68509i −1.75377 0.102145i −0.849093 0.528244i \(-0.822851\pi\)
−0.904677 + 0.426098i \(0.859888\pi\)
\(692\) 5.26519 + 29.8604i 0.200152 + 1.13512i
\(693\) −10.0159 5.62035i −0.380471 0.213500i
\(694\) −1.85684 + 10.5307i −0.0704846 + 0.399738i
\(695\) 4.48779 18.9355i 0.170232 0.718264i
\(696\) 16.2653 + 7.47805i 0.616536 + 0.283455i
\(697\) −0.946660 16.2535i −0.0358573 0.615646i
\(698\) −2.15816 + 7.20874i −0.0816874 + 0.272855i
\(699\) −1.70847 + 8.50566i −0.0646203 + 0.321714i
\(700\) 15.3331 11.4496i 0.579537 0.432753i
\(701\) 3.94587 2.27815i 0.149034 0.0860446i −0.423629 0.905836i \(-0.639244\pi\)
0.572662 + 0.819791i \(0.305911\pi\)
\(702\) −4.26271 + 2.07240i −0.160885 + 0.0782176i
\(703\) 0.508652 0.293671i 0.0191842 0.0110760i
\(704\) 0.462498 + 3.95693i 0.0174311 + 0.149132i
\(705\) −10.5050 6.40157i −0.395641 0.241097i
\(706\) −2.28499 0.684081i −0.0859967 0.0257457i
\(707\) −39.0361 + 2.33022i −1.46810 + 0.0876370i
\(708\) 0.363492 + 0.768654i 0.0136609 + 0.0288878i
\(709\) −2.86118 9.55701i −0.107454 0.358921i 0.887303 0.461186i \(-0.152576\pi\)
−0.994757 + 0.102265i \(0.967391\pi\)
\(710\) −0.00822929 + 0.00299522i −0.000308840 + 0.000112408i
\(711\) 2.36501 22.3207i 0.0886949 0.837092i
\(712\) −0.772574 + 2.12263i −0.0289535 + 0.0795490i
\(713\) 30.7828 15.4597i 1.15282 0.578970i
\(714\) −10.2851 3.33017i −0.384909 0.124629i
\(715\) 0.998373 + 2.31449i 0.0373370 + 0.0865569i
\(716\) 0.509080 4.35546i 0.0190252 0.162771i
\(717\) −40.8647 5.76071i −1.52612 0.215138i
\(718\) −6.56486 4.31777i −0.244998 0.161138i
\(719\) 7.32261 + 41.5286i 0.273087 + 1.54875i 0.744973 + 0.667095i \(0.232463\pi\)
−0.471885 + 0.881660i \(0.656426\pi\)
\(720\) −7.01434 + 2.18272i −0.261409 + 0.0813452i
\(721\) −4.04252 + 23.1217i −0.150551 + 0.861098i
\(722\) 8.72560 2.61227i 0.324733 0.0972187i
\(723\) 20.1771 20.3960i 0.750394 0.758537i
\(724\) 10.8376 + 16.4778i 0.402777 + 0.612393i
\(725\) −22.0214 6.59277i −0.817854 0.244849i
\(726\) −5.93364 + 4.74398i −0.220218 + 0.176065i
\(727\) 4.00562 + 34.2703i 0.148560 + 1.27101i 0.837597 + 0.546288i \(0.183960\pi\)
−0.689037 + 0.724726i \(0.741966\pi\)
\(728\) 7.84672 4.54544i 0.290819 0.168465i
\(729\) 16.6766 21.2342i 0.617651 0.786453i
\(730\) −0.318237 0.551203i −0.0117785 0.0204010i
\(731\) 0.732957 1.69918i 0.0271094 0.0628466i
\(732\) −40.2883 15.7543i −1.48910 0.582297i
\(733\) 12.5957 11.8834i 0.465233 0.438925i −0.417586 0.908637i \(-0.637124\pi\)
0.882820 + 0.469712i \(0.155642\pi\)
\(734\) −4.42271 2.22117i −0.163245 0.0819848i
\(735\) −2.85988 + 11.0384i −0.105488 + 0.407157i
\(736\) −10.9002 36.4094i −0.401789 1.34207i
\(737\) 4.01388 4.78355i 0.147853 0.176205i
\(738\) 4.89823 + 1.10520i 0.180306 + 0.0406831i
\(739\) −5.06861 + 4.25307i −0.186452 + 0.156452i −0.731236 0.682125i \(-0.761056\pi\)
0.544784 + 0.838576i \(0.316612\pi\)
\(740\) 1.22070 0.613057i 0.0448737 0.0225364i
\(741\) 2.11436 0.853220i 0.0776729 0.0313438i
\(742\) 1.31160 11.3639i 0.0481503 0.417182i
\(743\) −26.3263 + 11.3561i −0.965818 + 0.416613i −0.819788 0.572667i \(-0.805909\pi\)
−0.146030 + 0.989280i \(0.546650\pi\)
\(744\) −3.00369 14.1606i −0.110121 0.519151i
\(745\) 11.1059 + 0.646845i 0.406889 + 0.0236986i
\(746\) 0.136063 0.0239916i 0.00498163 0.000878397i
\(747\) 6.51168 + 4.73940i 0.238250 + 0.173406i
\(748\) −7.83036 + 9.33186i −0.286306 + 0.341207i
\(749\) −26.3533 + 28.0139i −0.962930 + 1.02361i
\(750\) −6.61077 + 3.12619i −0.241391 + 0.114152i
\(751\) 32.7863 21.5639i 1.19639 0.786877i 0.214572 0.976708i \(-0.431164\pi\)
0.981817 + 0.189831i \(0.0607940\pi\)
\(752\) 13.4931 + 14.3019i 0.492044 + 0.521536i
\(753\) −0.174845 + 7.37847i −0.00637170 + 0.268886i
\(754\) −4.67826 2.01801i −0.170372 0.0734914i
\(755\) −6.65023 + 11.5185i −0.242027 + 0.419202i
\(756\) −13.5071 + 20.0330i −0.491250 + 0.728594i
\(757\) 23.8250 + 41.2661i 0.865934 + 1.49984i 0.866117 + 0.499842i \(0.166609\pi\)
−0.000182344 1.00000i \(0.500058\pi\)
\(758\) 0.838963 + 7.17779i 0.0304725 + 0.260709i
\(759\) 12.6303 14.3477i 0.458450 0.520789i
\(760\) −1.20351 + 0.285237i −0.0436559 + 0.0103466i
\(761\) 21.9005 + 10.9989i 0.793894 + 0.398708i 0.799040 0.601278i \(-0.205342\pi\)
−0.00514589 + 0.999987i \(0.501638\pi\)
\(762\) 10.9194 1.01473i 0.395568 0.0367598i
\(763\) −40.1577 37.7772i −1.45381 1.36763i
\(764\) −20.6386 3.63915i −0.746679 0.131660i
\(765\) −11.7772 6.63115i −0.425807 0.239750i
\(766\) 5.65134 15.5269i 0.204191 0.561011i
\(767\) −0.232195 0.462338i −0.00838408 0.0166941i
\(768\) −0.120112 + 0.00414375i −0.00433416 + 0.000149525i
\(769\) −3.80720 + 32.5727i −0.137291 + 1.17460i 0.732354 + 0.680924i \(0.238422\pi\)
−0.869645 + 0.493677i \(0.835652\pi\)
\(770\) −1.42382 1.05680i −0.0513109 0.0380844i
\(771\) 15.6465 + 25.0631i 0.563493 + 0.902624i
\(772\) −0.855895 + 14.6951i −0.0308043 + 0.528890i
\(773\) −27.3989 9.97239i −0.985471 0.358682i −0.201506 0.979487i \(-0.564584\pi\)
−0.783965 + 0.620805i \(0.786806\pi\)
\(774\) 0.441143 + 0.362121i 0.0158565 + 0.0130162i
\(775\) 6.35727 + 17.4665i 0.228360 + 0.627414i
\(776\) 21.5560 22.8480i 0.773815 0.820196i
\(777\) 1.57701 3.44322i 0.0565748 0.123525i
\(778\) 8.39363 5.52058i 0.300926 0.197922i
\(779\) −2.31400 0.692766i −0.0829077 0.0248209i
\(780\) 5.02447 1.69508i 0.179905 0.0606934i
\(781\) 0.0163377 + 0.0219454i 0.000584609 + 0.000785267i
\(782\) 8.99637 15.5822i 0.321709 0.557217i
\(783\) 28.9935 1.31368i 1.03614 0.0469472i
\(784\) 9.06708 15.8100i 0.323824 0.564644i
\(785\) −7.25286 + 5.39956i −0.258866 + 0.192718i
\(786\) −10.8083 0.256119i −0.385518 0.00913547i
\(787\) −2.71903 + 2.56528i −0.0969231 + 0.0914422i −0.733178 0.680036i \(-0.761964\pi\)
0.636255 + 0.771479i \(0.280483\pi\)
\(788\) 5.03616 10.0278i 0.179406 0.357226i
\(789\) −20.2262 + 9.56487i −0.720073 + 0.340518i
\(790\) 0.799166 3.37195i 0.0284331 0.119968i
\(791\) 3.77850 21.6116i 0.134348 0.768420i
\(792\) −4.48621 6.66318i −0.159411 0.236766i
\(793\) 24.7348 + 9.00273i 0.878358 + 0.319696i
\(794\) 0.426680 7.32581i 0.0151423 0.259983i
\(795\) 4.42516 13.5998i 0.156944 0.482334i
\(796\) 17.6053 + 13.1067i 0.624005 + 0.464554i
\(797\) 18.7689 25.2110i 0.664829 0.893021i −0.333941 0.942594i \(-0.608379\pi\)
0.998770 + 0.0495731i \(0.0157861\pi\)
\(798\) −0.986162 + 1.26490i −0.0349098 + 0.0447769i
\(799\) −2.10344 + 36.1146i −0.0744143 + 1.27764i
\(800\) 20.1964 3.56117i 0.714050 0.125906i
\(801\) 0.464379 + 3.63255i 0.0164080 + 0.128350i
\(802\) −2.32534 + 13.1876i −0.0821105 + 0.465672i
\(803\) −1.36453 + 1.44632i −0.0481533 + 0.0510395i
\(804\) −9.33899 9.23873i −0.329361 0.325825i
\(805\) −16.9718 8.49285i −0.598177 0.299334i
\(806\) 0.950088 + 4.00874i 0.0334654 + 0.141202i
\(807\) −10.2609 + 1.55961i −0.361201 + 0.0549009i
\(808\) −25.1138 10.8330i −0.883500 0.381105i
\(809\) 8.96213 + 5.17429i 0.315092 + 0.181918i 0.649203 0.760615i \(-0.275103\pi\)
−0.334111 + 0.942534i \(0.608436\pi\)
\(810\) 2.96960 2.92537i 0.104341 0.102787i
\(811\) 9.65110i 0.338896i 0.985539 + 0.169448i \(0.0541985\pi\)
−0.985539 + 0.169448i \(0.945802\pi\)
\(812\) −25.7917 + 3.05242i −0.905112 + 0.107119i
\(813\) −4.62670 + 3.69908i −0.162266 + 0.129732i
\(814\) 0.404136 + 0.428359i 0.0141650 + 0.0150140i
\(815\) 0.490691 0.322732i 0.0171882 0.0113048i
\(816\) 15.3576 + 15.1927i 0.537623 + 0.531851i
\(817\) −0.199698 0.188405i −0.00698654 0.00659146i
\(818\) 0.960077 0.349440i 0.0335683 0.0122179i
\(819\) 7.92772 12.3809i 0.277017 0.432625i
\(820\) −5.27894 1.92138i −0.184349 0.0670974i
\(821\) −22.8035 45.4056i −0.795849 1.58467i −0.811190 0.584783i \(-0.801180\pi\)
0.0153410 0.999882i \(-0.495117\pi\)
\(822\) −6.43521 + 2.59684i −0.224454 + 0.0905753i
\(823\) 14.9105 + 34.5664i 0.519747 + 1.20491i 0.952816 + 0.303548i \(0.0981711\pi\)
−0.433070 + 0.901360i \(0.642570\pi\)
\(824\) −9.80340 + 13.1683i −0.341518 + 0.458738i
\(825\) 6.89843 + 7.66798i 0.240173 + 0.266965i
\(826\) 0.304362 + 0.199552i 0.0105901 + 0.00694332i
\(827\) −8.55834 10.1994i −0.297603 0.354669i 0.596435 0.802662i \(-0.296584\pi\)
−0.894037 + 0.447993i \(0.852139\pi\)
\(828\) −27.9095 28.9499i −0.969922 1.00608i
\(829\) −15.6527 43.0053i −0.543639 1.49364i −0.842157 0.539232i \(-0.818714\pi\)
0.298518 0.954404i \(-0.403508\pi\)
\(830\) 0.904429 + 0.853285i 0.0313932 + 0.0296180i
\(831\) 2.52446 + 0.207140i 0.0875725 + 0.00718560i
\(832\) −5.09098 + 0.296516i −0.176498 + 0.0102798i
\(833\) 32.6059 7.82738i 1.12973 0.271203i
\(834\) 0.418116 17.6445i 0.0144782 0.610981i
\(835\) 1.76656 4.09534i 0.0611342 0.141725i
\(836\) 0.903658 + 1.56518i 0.0312537 + 0.0541330i
\(837\) −14.8520 18.1708i −0.513359 0.628075i
\(838\) −2.77435 1.60177i −0.0958383 0.0553323i
\(839\) 21.0319 48.7574i 0.726102 1.68329i −0.00403445 0.999992i \(-0.501284\pi\)
0.730136 0.683301i \(-0.239457\pi\)
\(840\) −5.26100 + 5.99382i −0.181522 + 0.206806i
\(841\) 1.50838 + 1.59879i 0.0520133 + 0.0551308i
\(842\) 6.74705 13.4345i 0.232519 0.462983i
\(843\) −7.79426 11.0045i −0.268448 0.379014i
\(844\) −8.11445 27.1041i −0.279311 0.932963i
\(845\) 8.45704 3.07811i 0.290931 0.105890i
\(846\) −10.5250 3.70263i −0.361856 0.127299i
\(847\) 8.02725 22.1543i 0.275820 0.761231i
\(848\) −12.5610 + 19.0981i −0.431348 + 0.655833i
\(849\) −28.9828 + 18.0935i −0.994687 + 0.620967i
\(850\) 7.78768 + 5.79771i 0.267115 + 0.198860i
\(851\) 5.05589 + 3.76397i 0.173314 + 0.129027i
\(852\) 0.0488229 0.0304793i 0.00167264 0.00104420i
\(853\) 18.6694 28.3854i 0.639227 0.971897i −0.360014 0.932947i \(-0.617228\pi\)
0.999241 0.0389504i \(-0.0124014\pi\)
\(854\) −18.2306 + 3.24172i −0.623837 + 0.110929i
\(855\) −1.52208 + 1.30543i −0.0520540 + 0.0446447i
\(856\) −25.2778 + 9.20038i −0.863978 + 0.314462i
\(857\) 3.64071 + 12.1608i 0.124364 + 0.415406i 0.997384 0.0722784i \(-0.0230270\pi\)
−0.873020 + 0.487684i \(0.837842\pi\)
\(858\) 1.32135 + 1.86557i 0.0451102 + 0.0636897i
\(859\) −9.23451 + 18.3874i −0.315078 + 0.627371i −0.994307 0.106555i \(-0.966018\pi\)
0.679229 + 0.733926i \(0.262314\pi\)
\(860\) −0.438178 0.464442i −0.0149417 0.0158373i
\(861\) −14.7506 + 5.00008i −0.502699 + 0.170402i
\(862\) −5.22005 + 12.1014i −0.177795 + 0.412176i
\(863\) 44.2182 + 25.5294i 1.50521 + 0.869031i 0.999982 + 0.00604212i \(0.00192328\pi\)
0.505224 + 0.862989i \(0.331410\pi\)
\(864\) −22.5892 + 12.6562i −0.768500 + 0.430574i
\(865\) 8.11297 + 14.0521i 0.275849 + 0.477785i
\(866\) 0.677077 1.56964i 0.0230080 0.0533386i
\(867\) −0.244025 + 10.2979i −0.00828753 + 0.349735i
\(868\) 14.4337 + 15.2546i 0.489911 + 0.517774i
\(869\) −10.8078 + 0.629483i −0.366630 + 0.0213538i
\(870\) 4.46585 + 0.366437i 0.151406 + 0.0124234i
\(871\) 5.81415 + 5.48537i 0.197005 + 0.185865i
\(872\) −13.1886 36.2355i −0.446624 1.22709i
\(873\) 14.0782 48.9408i 0.476474 1.65639i
\(874\) −1.71587 2.04489i −0.0580402 0.0691696i
\(875\) 12.4366 18.9686i 0.420434 0.641256i
\(876\) 2.79770 + 3.10979i 0.0945255 + 0.105070i
\(877\) −6.46984 + 8.69051i −0.218471 + 0.293458i −0.897824 0.440354i \(-0.854853\pi\)
0.679353 + 0.733811i \(0.262260\pi\)
\(878\) 5.80533 + 13.4583i 0.195920 + 0.454194i
\(879\) −44.0853 + 17.7900i −1.48696 + 0.600043i
\(880\) 1.59019 + 3.16633i 0.0536054 + 0.106737i
\(881\) 36.3261 + 13.2216i 1.22386 + 0.445447i 0.871489 0.490414i \(-0.163155\pi\)
0.352367 + 0.935862i \(0.385377\pi\)
\(882\) −0.459991 + 10.3317i −0.0154887 + 0.347886i
\(883\) 1.56925 0.571160i 0.0528094 0.0192211i −0.315480 0.948932i \(-0.602166\pi\)
0.368290 + 0.929711i \(0.379943\pi\)
\(884\) −11.3424 10.7010i −0.381485 0.359913i
\(885\) 0.323473 + 0.320000i 0.0108734 + 0.0107567i
\(886\) −0.981923 + 0.645821i −0.0329884 + 0.0216968i
\(887\) −23.4933 24.9014i −0.788827 0.836108i 0.200821 0.979628i \(-0.435639\pi\)
−0.989647 + 0.143520i \(0.954158\pi\)
\(888\) 2.06884 1.65405i 0.0694258 0.0555063i
\(889\) −27.2549 + 20.3518i −0.914101 + 0.682579i
\(890\) 0.565389i 0.0189519i
\(891\) −11.4160 6.26645i −0.382450 0.209934i
\(892\) 31.8570 + 18.3926i 1.06665 + 0.615830i
\(893\) 4.92815 + 2.12580i 0.164914 + 0.0711370i
\(894\) 9.97512 1.51617i 0.333618 0.0507084i
\(895\) −0.541173 2.28339i −0.0180894 0.0763252i
\(896\) 25.0037 16.4970i 0.835315 0.551127i
\(897\) 17.3949 + 17.2081i 0.580797 + 0.574562i
\(898\) −7.09616 + 7.52149i −0.236802 + 0.250995i
\(899\) 4.38059 24.8436i 0.146101 0.828579i
\(900\) 17.2640 13.1445i 0.575467 0.438151i
\(901\) −41.4176 + 7.30305i −1.37982 + 0.243300i
\(902\) 0.140823 2.41784i 0.00468889 0.0805052i
\(903\) −1.75330 0.244578i −0.0583461 0.00813906i
\(904\) 9.16312 12.3082i 0.304761 0.409365i
\(905\) 8.46578 + 6.30254i 0.281412 + 0.209504i
\(906\) −3.73250 + 11.4710i −0.124004 + 0.381099i
\(907\) 2.25359 38.6926i 0.0748291 1.28477i −0.726760 0.686891i \(-0.758975\pi\)
0.801589 0.597875i \(-0.203988\pi\)
\(908\) 24.7158 + 8.99582i 0.820223 + 0.298537i
\(909\) −44.2361 + 3.05585i −1.46722 + 0.101356i
\(910\) 1.45646 1.74084i 0.0482811 0.0577084i
\(911\) 7.89629 33.3171i 0.261616 1.10384i −0.670565 0.741851i \(-0.733948\pi\)
0.932181 0.361993i \(-0.117904\pi\)
\(912\) 2.89735 1.37014i 0.0959410 0.0453700i
\(913\) 1.74339 3.47137i 0.0576978 0.114886i
\(914\) 8.08827 7.63089i 0.267536 0.252407i
\(915\) −23.1431 0.548414i −0.765088 0.0181300i
\(916\) 40.1460 29.8876i 1.32646 0.987515i
\(917\) 29.0169 16.8089i 0.958223 0.555079i
\(918\) −11.6970 3.66689i −0.386057 0.121025i
\(919\) 25.9601 44.9642i 0.856345 1.48323i −0.0190475 0.999819i \(-0.506063\pi\)
0.875392 0.483414i \(-0.160603\pi\)
\(920\) −7.92633 10.6469i −0.261323 0.351018i
\(921\) −12.9940 + 4.38372i −0.428168 + 0.144449i
\(922\) 0.522998 + 0.156575i 0.0172240 + 0.00515653i
\(923\) −0.0292600 + 0.0192446i −0.000963103 + 0.000633443i
\(924\) 10.5952 + 4.85264i 0.348556 + 0.159640i
\(925\) −2.33401 + 2.47391i −0.0767419 + 0.0813417i
\(926\) 0.575417 + 1.58095i 0.0189094 + 0.0519531i
\(927\) −4.33852 + 26.2593i −0.142496 + 0.862467i
\(928\) −26.1548 9.51957i −0.858574 0.312495i
\(929\) 1.90220 32.6595i 0.0624091 1.07152i −0.811161 0.584824i \(-0.801164\pi\)
0.873570 0.486699i \(-0.161799\pi\)
\(930\) −1.91873 3.07348i −0.0629175 0.100783i
\(931\) 0.563258 4.94289i 0.0184600 0.161997i
\(932\) 1.02195 8.74335i 0.0334751 0.286398i
\(933\) 32.0147 1.10448i 1.04811 0.0361590i
\(934\) 1.06648 + 2.12353i 0.0348962 + 0.0694840i
\(935\) −2.22963 + 6.12585i −0.0729166 + 0.200337i
\(936\) 8.84878 5.23699i 0.289231 0.171176i
\(937\) 42.0105 + 7.40759i 1.37242 + 0.241995i 0.810764 0.585373i \(-0.199052\pi\)
0.561660 + 0.827368i \(0.310163\pi\)
\(938\) −5.47328 1.28884i −0.178709 0.0420820i
\(939\) −17.5694 + 1.63271i −0.573354 + 0.0532814i
\(940\) 11.1546 + 5.60207i 0.363824 + 0.182719i
\(941\) −56.4951 + 13.3896i −1.84169 + 0.436488i −0.995364 0.0961786i \(-0.969338\pi\)
−0.846325 + 0.532667i \(0.821190\pi\)
\(942\) −5.41873 + 6.15555i −0.176552 + 0.200559i
\(943\) −3.00936 25.7467i −0.0979983 0.838429i
\(944\) −0.363629 0.629824i −0.0118351 0.0204990i
\(945\) −3.12567 + 12.5461i −0.101678 + 0.408125i
\(946\) 0.137640 0.238400i 0.00447507 0.00775105i
\(947\) 27.5611 + 11.8887i 0.895616 + 0.386331i 0.793592 0.608451i \(-0.208209\pi\)
0.102024 + 0.994782i \(0.467468\pi\)
\(948\) −0.539541 + 22.7687i −0.0175235 + 0.739492i
\(949\) −1.74669 1.85138i −0.0566999 0.0600984i
\(950\) 1.20345 0.791520i 0.0390450 0.0256803i
\(951\) 27.8252 13.1584i 0.902293 0.426689i
\(952\) 22.8282 + 5.37555i 0.739868 + 0.174223i
\(953\) −21.9013 + 26.1009i −0.709452 + 0.845492i −0.993561 0.113300i \(-0.963858\pi\)
0.284109 + 0.958792i \(0.408302\pi\)
\(954\) 1.36670 12.8988i 0.0442486 0.417614i
\(955\) −11.0445 + 1.94745i −0.357393 + 0.0630179i
\(956\) 41.8036 + 2.43478i 1.35202 + 0.0787464i
\(957\) −2.90472 13.6940i −0.0938961 0.442663i
\(958\) 12.4497 5.37026i 0.402231 0.173505i
\(959\) 12.8284 17.2837i 0.414252 0.558120i
\(960\) 4.15908 1.67834i 0.134234 0.0541682i
\(961\) 9.47388 4.75796i 0.305609 0.153483i
\(962\) −0.577479 + 0.484562i −0.0186187 + 0.0156229i
\(963\) −29.5837 + 32.0427i −0.953320 + 1.03256i
\(964\) −18.7122 + 22.3003i −0.602679 + 0.718245i
\(965\) 2.25923 + 7.54634i 0.0727271 + 0.242925i
\(966\) −16.6560 4.34104i −0.535899 0.139671i
\(967\) −22.0080 11.0528i −0.707730 0.355436i 0.0582478 0.998302i \(-0.481449\pi\)
−0.765978 + 0.642867i \(0.777745\pi\)
\(968\) 11.9876 11.3097i 0.385295 0.363507i
\(969\) 5.49176 + 2.14749i 0.176421 + 0.0689875i
\(970\) 3.11410 7.21929i 0.0999877 0.231797i
\(971\) 6.02158 + 10.4297i 0.193242 + 0.334704i 0.946323 0.323223i \(-0.104767\pi\)
−0.753081 + 0.657928i \(0.771433\pi\)
\(972\) −15.1027 + 22.8575i −0.484418 + 0.733154i
\(973\) 27.4406 + 47.3703i 0.879706 + 1.51862i
\(974\) 2.32925 + 19.9280i 0.0746340 + 0.638535i
\(975\) −10.3123 + 8.24478i −0.330259 + 0.264044i
\(976\) 35.4463 + 10.6119i 1.13461 + 0.339679i
\(977\) −31.5028 47.8977i −1.00786 1.53238i −0.837084 0.547075i \(-0.815741\pi\)
−0.170781 0.985309i \(-0.554629\pi\)
\(978\) 0.374615 0.378680i 0.0119789 0.0121089i
\(979\) 1.69213 0.506590i 0.0540807 0.0161907i
\(980\) 1.97619 11.4002i 0.0631270 0.364165i
\(981\) −45.9329 42.4078i −1.46653 1.35398i
\(982\) 3.43385 + 19.4744i 0.109579 + 0.621452i
\(983\) −31.0864 20.4459i −0.991503 0.652122i −0.0534348 0.998571i \(-0.517017\pi\)
−0.938069 + 0.346449i \(0.887387\pi\)
\(984\) −10.7866 1.52059i −0.343864 0.0484746i
\(985\) 0.697139 5.96441i 0.0222127 0.190042i
\(986\) −5.21907 12.0992i −0.166209 0.385316i
\(987\) 33.8434 7.22988i 1.07725 0.230130i
\(988\) −2.06740 + 1.03829i −0.0657729 + 0.0330324i
\(989\) 1.00770 2.76865i 0.0320431 0.0880378i
\(990\) −1.62559 1.18315i −0.0516647 0.0376031i
\(991\) −40.0880 + 14.5908i −1.27344 + 0.463493i −0.888256 0.459349i \(-0.848083\pi\)
−0.385180 + 0.922841i \(0.625861\pi\)
\(992\) 6.45483 + 21.5606i 0.204941 + 0.684551i
\(993\) 4.46347 + 9.43861i 0.141644 + 0.299525i
\(994\) 0.0110248 0.0220315i 0.000349685 0.000698798i
\(995\) 11.2520 + 3.36863i 0.356713 + 0.106793i
\(996\) −6.97839 4.25252i −0.221119 0.134746i
\(997\) −1.37635 11.7755i −0.0435895 0.372932i −0.997373 0.0724375i \(-0.976922\pi\)
0.953783 0.300495i \(-0.0971518\pi\)
\(998\) 4.40711 2.54445i 0.139505 0.0805431i
\(999\) 1.75159 3.92079i 0.0554177 0.124048i
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 567.2.br.a.101.31 yes 1260
7.5 odd 6 567.2.bl.a.425.40 1260
81.77 odd 54 567.2.bl.a.563.40 yes 1260
567.320 even 54 inner 567.2.br.a.320.31 yes 1260
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
567.2.bl.a.425.40 1260 7.5 odd 6
567.2.bl.a.563.40 yes 1260 81.77 odd 54
567.2.br.a.101.31 yes 1260 1.1 even 1 trivial
567.2.br.a.320.31 yes 1260 567.320 even 54 inner