Properties

Label 380.2.bb.a.219.6
Level $380$
Weight $2$
Character 380.219
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(59,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bb (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(56\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 219.6
Character \(\chi\) \(=\) 380.219
Dual form 380.2.bb.a.59.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.33052 - 0.479280i) q^{2} +(-1.75425 - 2.09063i) q^{3} +(1.54058 + 1.27539i) q^{4} +(-1.37018 - 1.76709i) q^{5} +(1.33207 + 3.62240i) q^{6} +(-1.59127 + 2.75617i) q^{7} +(-1.43851 - 2.43530i) q^{8} +(-0.772405 + 4.38052i) q^{9} +O(q^{10})\) \(q+(-1.33052 - 0.479280i) q^{2} +(-1.75425 - 2.09063i) q^{3} +(1.54058 + 1.27539i) q^{4} +(-1.37018 - 1.76709i) q^{5} +(1.33207 + 3.62240i) q^{6} +(-1.59127 + 2.75617i) q^{7} +(-1.43851 - 2.43530i) q^{8} +(-0.772405 + 4.38052i) q^{9} +(0.976131 + 3.00785i) q^{10} +(-0.876762 + 0.506199i) q^{11} +(-0.0361998 - 5.45812i) q^{12} +(3.83232 + 3.21570i) q^{13} +(3.43820 - 2.90448i) q^{14} +(-1.29068 + 5.96445i) q^{15} +(0.746782 + 3.92967i) q^{16} +(-5.77829 + 1.01887i) q^{17} +(3.12720 - 5.45819i) q^{18} +(-0.956248 - 4.25272i) q^{19} +(0.142839 - 4.46985i) q^{20} +(8.55360 - 1.50823i) q^{21} +(1.40916 - 0.253295i) q^{22} +(5.67498 - 2.06552i) q^{23} +(-2.56780 + 7.27950i) q^{24} +(-1.24519 + 4.84247i) q^{25} +(-3.55777 - 6.11532i) q^{26} +(3.42257 - 1.97602i) q^{27} +(-5.96666 + 2.21661i) q^{28} +(2.84576 + 0.501783i) q^{29} +(4.57593 - 7.31723i) q^{30} +(-0.591422 + 1.02437i) q^{31} +(0.889803 - 5.58643i) q^{32} +(2.59633 + 0.944987i) q^{33} +(8.17647 + 1.41379i) q^{34} +(7.05072 - 0.964534i) q^{35} +(-6.77681 + 5.76344i) q^{36} +6.25121 q^{37} +(-0.765931 + 6.11665i) q^{38} -13.6531i q^{39} +(-2.33236 + 5.87878i) q^{40} +(4.05794 + 4.83606i) q^{41} +(-12.1036 - 2.09283i) q^{42} +(4.48584 + 1.63271i) q^{43} +(-1.99632 - 0.338370i) q^{44} +(8.79911 - 4.63722i) q^{45} +(-8.54065 + 0.0283217i) q^{46} +(-1.20896 + 6.85637i) q^{47} +(6.90544 - 8.45485i) q^{48} +(-1.56430 - 2.70945i) q^{49} +(3.97766 - 5.84622i) q^{50} +(12.2666 + 10.2929i) q^{51} +(1.80275 + 9.84174i) q^{52} +(-7.88929 + 2.87147i) q^{53} +(-5.50088 + 0.988772i) q^{54} +(2.09582 + 0.855730i) q^{55} +(9.00115 - 0.0895490i) q^{56} +(-7.21335 + 9.45947i) q^{57} +(-3.54585 - 2.03155i) q^{58} +(0.555649 + 3.15124i) q^{59} +(-9.59538 + 7.54260i) q^{60} +(-8.86603 + 3.22697i) q^{61} +(1.27786 - 1.07949i) q^{62} +(-10.8443 - 9.09949i) q^{63} +(-3.86137 + 7.00641i) q^{64} +(0.431438 - 11.1781i) q^{65} +(-3.00156 - 2.50170i) q^{66} +(5.98040 + 1.05451i) q^{67} +(-10.2014 - 5.79990i) q^{68} +(-14.2735 - 8.24083i) q^{69} +(-9.84343 - 2.09594i) q^{70} +(-1.39936 - 0.509326i) q^{71} +(11.7790 - 4.42040i) q^{72} +(-9.08468 - 10.8267i) q^{73} +(-8.31738 - 2.99608i) q^{74} +(12.3082 - 5.89164i) q^{75} +(3.95068 - 7.77124i) q^{76} -3.22200i q^{77} +(-6.54365 + 18.1657i) q^{78} +(-4.30164 + 3.60950i) q^{79} +(5.92084 - 6.70400i) q^{80} +(2.40439 + 0.875127i) q^{81} +(-3.08135 - 8.37937i) q^{82} +(-4.37900 + 7.58465i) q^{83} +(15.1011 + 8.58559i) q^{84} +(9.71774 + 8.81470i) q^{85} +(-5.18599 - 4.32233i) q^{86} +(-3.94311 - 6.82967i) q^{87} +(2.49398 + 1.40701i) q^{88} +(-3.27166 + 3.89901i) q^{89} +(-13.9299 + 1.95269i) q^{90} +(-14.9613 + 5.44546i) q^{91} +(11.3771 + 4.05568i) q^{92} +(3.17908 - 0.560558i) q^{93} +(4.89467 - 8.54312i) q^{94} +(-6.20468 + 7.51677i) q^{95} +(-13.2401 + 7.93973i) q^{96} +(2.56292 + 14.5350i) q^{97} +(0.782753 + 4.35472i) q^{98} +(-1.54020 - 4.23167i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9} - 15 q^{10} + 18 q^{14} - 6 q^{16} - 42 q^{20} + 12 q^{21} + 12 q^{24} - 12 q^{25} + 18 q^{26} - 24 q^{29} - 24 q^{30} + 12 q^{34} - 6 q^{36} - 48 q^{40} - 12 q^{41} - 36 q^{44} - 6 q^{45} - 18 q^{46} - 108 q^{49} - 36 q^{50} + 36 q^{54} - 30 q^{60} - 24 q^{61} + 18 q^{64} - 18 q^{65} - 48 q^{66} - 180 q^{69} - 21 q^{70} - 30 q^{74} - 48 q^{76} + 3 q^{80} - 60 q^{81} + 90 q^{84} - 36 q^{85} + 102 q^{86} - 48 q^{89} - 78 q^{90} + 24 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33052 0.479280i −0.940822 0.338902i
\(3\) −1.75425 2.09063i −1.01281 1.20702i −0.978209 0.207624i \(-0.933427\pi\)
−0.0346051 0.999401i \(-0.511017\pi\)
\(4\) 1.54058 + 1.27539i 0.770291 + 0.637693i
\(5\) −1.37018 1.76709i −0.612765 0.790265i
\(6\) 1.33207 + 3.62240i 0.543814 + 1.47884i
\(7\) −1.59127 + 2.75617i −0.601445 + 1.04173i 0.391158 + 0.920324i \(0.372075\pi\)
−0.992603 + 0.121409i \(0.961259\pi\)
\(8\) −1.43851 2.43530i −0.508591 0.861008i
\(9\) −0.772405 + 4.38052i −0.257468 + 1.46017i
\(10\) 0.976131 + 3.00785i 0.308680 + 0.951166i
\(11\) −0.876762 + 0.506199i −0.264354 + 0.152625i −0.626319 0.779567i \(-0.715439\pi\)
0.361965 + 0.932192i \(0.382106\pi\)
\(12\) −0.0361998 5.45812i −0.0104500 1.57562i
\(13\) 3.83232 + 3.21570i 1.06289 + 0.891875i 0.994390 0.105776i \(-0.0337326\pi\)
0.0685050 + 0.997651i \(0.478177\pi\)
\(14\) 3.43820 2.90448i 0.918898 0.776254i
\(15\) −1.29068 + 5.96445i −0.333253 + 1.54001i
\(16\) 0.746782 + 3.92967i 0.186695 + 0.982418i
\(17\) −5.77829 + 1.01887i −1.40144 + 0.247112i −0.822735 0.568425i \(-0.807553\pi\)
−0.578706 + 0.815537i \(0.696442\pi\)
\(18\) 3.12720 5.45819i 0.737088 1.28651i
\(19\) −0.956248 4.25272i −0.219378 0.975640i
\(20\) 0.142839 4.46985i 0.0319398 0.999490i
\(21\) 8.55360 1.50823i 1.86655 0.329123i
\(22\) 1.40916 0.253295i 0.300435 0.0540026i
\(23\) 5.67498 2.06552i 1.18331 0.430691i 0.325943 0.945389i \(-0.394318\pi\)
0.857371 + 0.514698i \(0.172096\pi\)
\(24\) −2.56780 + 7.27950i −0.524151 + 1.48592i
\(25\) −1.24519 + 4.84247i −0.249039 + 0.968493i
\(26\) −3.55777 6.11532i −0.697736 1.19931i
\(27\) 3.42257 1.97602i 0.658674 0.380286i
\(28\) −5.96666 + 2.21661i −1.12759 + 0.418900i
\(29\) 2.84576 + 0.501783i 0.528444 + 0.0931789i 0.431503 0.902111i \(-0.357983\pi\)
0.0969402 + 0.995290i \(0.469094\pi\)
\(30\) 4.57593 7.31723i 0.835446 1.33594i
\(31\) −0.591422 + 1.02437i −0.106223 + 0.183983i −0.914237 0.405180i \(-0.867209\pi\)
0.808014 + 0.589163i \(0.200542\pi\)
\(32\) 0.889803 5.58643i 0.157296 0.987551i
\(33\) 2.59633 + 0.944987i 0.451963 + 0.164501i
\(34\) 8.17647 + 1.41379i 1.40225 + 0.242463i
\(35\) 7.05072 0.964534i 1.19179 0.163036i
\(36\) −6.77681 + 5.76344i −1.12947 + 0.960573i
\(37\) 6.25121 1.02769 0.513846 0.857882i \(-0.328220\pi\)
0.513846 + 0.857882i \(0.328220\pi\)
\(38\) −0.765931 + 6.11665i −0.124250 + 0.992251i
\(39\) 13.6531i 2.18624i
\(40\) −2.33236 + 5.87878i −0.368779 + 0.929517i
\(41\) 4.05794 + 4.83606i 0.633743 + 0.755266i 0.983368 0.181624i \(-0.0581354\pi\)
−0.349625 + 0.936890i \(0.613691\pi\)
\(42\) −12.1036 2.09283i −1.86763 0.322931i
\(43\) 4.48584 + 1.63271i 0.684084 + 0.248986i 0.660600 0.750738i \(-0.270302\pi\)
0.0234840 + 0.999724i \(0.492524\pi\)
\(44\) −1.99632 0.338370i −0.300957 0.0510111i
\(45\) 8.79911 4.63722i 1.31169 0.691275i
\(46\) −8.54065 + 0.0283217i −1.25925 + 0.00417581i
\(47\) −1.20896 + 6.85637i −0.176345 + 1.00010i 0.760234 + 0.649649i \(0.225084\pi\)
−0.936580 + 0.350455i \(0.886027\pi\)
\(48\) 6.90544 8.45485i 0.996715 1.22035i
\(49\) −1.56430 2.70945i −0.223471 0.387064i
\(50\) 3.97766 5.84622i 0.562526 0.826780i
\(51\) 12.2666 + 10.2929i 1.71767 + 1.44130i
\(52\) 1.80275 + 9.84174i 0.249996 + 1.36480i
\(53\) −7.88929 + 2.87147i −1.08368 + 0.394426i −0.821275 0.570532i \(-0.806737\pi\)
−0.262402 + 0.964959i \(0.584515\pi\)
\(54\) −5.50088 + 0.988772i −0.748574 + 0.134555i
\(55\) 2.09582 + 0.855730i 0.282601 + 0.115387i
\(56\) 9.00115 0.0895490i 1.20283 0.0119665i
\(57\) −7.21335 + 9.45947i −0.955432 + 1.25294i
\(58\) −3.54585 2.03155i −0.465593 0.266755i
\(59\) 0.555649 + 3.15124i 0.0723393 + 0.410257i 0.999377 + 0.0352889i \(0.0112351\pi\)
−0.927038 + 0.374968i \(0.877654\pi\)
\(60\) −9.59538 + 7.54260i −1.23876 + 0.973745i
\(61\) −8.86603 + 3.22697i −1.13518 + 0.413171i −0.840170 0.542323i \(-0.817545\pi\)
−0.295009 + 0.955494i \(0.595323\pi\)
\(62\) 1.27786 1.07949i 0.162289 0.137096i
\(63\) −10.8443 9.09949i −1.36626 1.14643i
\(64\) −3.86137 + 7.00641i −0.482671 + 0.875802i
\(65\) 0.431438 11.1781i 0.0535133 1.38648i
\(66\) −3.00156 2.50170i −0.369467 0.307937i
\(67\) 5.98040 + 1.05451i 0.730623 + 0.128828i 0.526570 0.850132i \(-0.323478\pi\)
0.204052 + 0.978960i \(0.434589\pi\)
\(68\) −10.2014 5.79990i −1.23710 0.703341i
\(69\) −14.2735 8.24083i −1.71833 0.992080i
\(70\) −9.84343 2.09594i −1.17651 0.250512i
\(71\) −1.39936 0.509326i −0.166074 0.0604458i 0.257645 0.966240i \(-0.417053\pi\)
−0.423719 + 0.905794i \(0.639276\pi\)
\(72\) 11.7790 4.42040i 1.38817 0.520949i
\(73\) −9.08468 10.8267i −1.06328 1.26717i −0.962215 0.272289i \(-0.912219\pi\)
−0.101066 0.994880i \(-0.532225\pi\)
\(74\) −8.31738 2.99608i −0.966875 0.348287i
\(75\) 12.3082 5.89164i 1.42123 0.680308i
\(76\) 3.95068 7.77124i 0.453174 0.891422i
\(77\) 3.22200i 0.367181i
\(78\) −6.54365 + 18.1657i −0.740923 + 2.05687i
\(79\) −4.30164 + 3.60950i −0.483972 + 0.406101i −0.851860 0.523769i \(-0.824525\pi\)
0.367888 + 0.929870i \(0.380081\pi\)
\(80\) 5.92084 6.70400i 0.661971 0.749530i
\(81\) 2.40439 + 0.875127i 0.267154 + 0.0972363i
\(82\) −3.08135 8.37937i −0.340278 0.925347i
\(83\) −4.37900 + 7.58465i −0.480658 + 0.832523i −0.999754 0.0221925i \(-0.992935\pi\)
0.519096 + 0.854716i \(0.326269\pi\)
\(84\) 15.1011 + 8.58559i 1.64766 + 0.936765i
\(85\) 9.71774 + 8.81470i 1.05404 + 0.956089i
\(86\) −5.18599 4.32233i −0.559219 0.466089i
\(87\) −3.94311 6.82967i −0.422746 0.732217i
\(88\) 2.49398 + 1.40701i 0.265859 + 0.149987i
\(89\) −3.27166 + 3.89901i −0.346795 + 0.413294i −0.911043 0.412311i \(-0.864722\pi\)
0.564248 + 0.825605i \(0.309166\pi\)
\(90\) −13.9299 + 1.95269i −1.46834 + 0.205831i
\(91\) −14.9613 + 5.44546i −1.56837 + 0.570839i
\(92\) 11.3771 + 4.05568i 1.18614 + 0.422834i
\(93\) 3.17908 0.560558i 0.329655 0.0581271i
\(94\) 4.89467 8.54312i 0.504847 0.881155i
\(95\) −6.20468 + 7.51677i −0.636587 + 0.771205i
\(96\) −13.2401 + 7.93973i −1.35131 + 0.810345i
\(97\) 2.56292 + 14.5350i 0.260225 + 1.47581i 0.782296 + 0.622907i \(0.214049\pi\)
−0.522071 + 0.852902i \(0.674840\pi\)
\(98\) 0.782753 + 4.35472i 0.0790700 + 0.439893i
\(99\) −1.54020 4.23167i −0.154796 0.425299i
\(100\) −8.09434 + 5.87211i −0.809434 + 0.587211i
\(101\) 3.64320 + 3.05701i 0.362512 + 0.304183i 0.805791 0.592200i \(-0.201741\pi\)
−0.443279 + 0.896384i \(0.646185\pi\)
\(102\) −11.3878 19.5741i −1.12756 1.93812i
\(103\) −13.2887 + 7.67222i −1.30937 + 0.755967i −0.981991 0.188926i \(-0.939499\pi\)
−0.327381 + 0.944892i \(0.606166\pi\)
\(104\) 2.31835 13.9587i 0.227333 1.36876i
\(105\) −14.3852 13.0484i −1.40385 1.27339i
\(106\) 11.8731 0.0393725i 1.15322 0.00382420i
\(107\) 16.3092 + 9.41614i 1.57667 + 0.910292i 0.995319 + 0.0966407i \(0.0308098\pi\)
0.581353 + 0.813651i \(0.302524\pi\)
\(108\) 7.79294 + 1.32088i 0.749876 + 0.127101i
\(109\) 2.57700 7.08026i 0.246832 0.678166i −0.752966 0.658060i \(-0.771377\pi\)
0.999798 0.0201062i \(-0.00640043\pi\)
\(110\) −2.37841 2.14305i −0.226772 0.204332i
\(111\) −10.9662 13.0690i −1.04086 1.24045i
\(112\) −12.0192 4.19493i −1.13570 0.396383i
\(113\) 5.34794 0.503092 0.251546 0.967845i \(-0.419061\pi\)
0.251546 + 0.967845i \(0.419061\pi\)
\(114\) 14.1313 9.12882i 1.32351 0.854992i
\(115\) −11.4257 7.19803i −1.06545 0.671220i
\(116\) 3.74415 + 4.40247i 0.347636 + 0.408760i
\(117\) −17.0466 + 14.3038i −1.57595 + 1.32238i
\(118\) 0.771024 4.45911i 0.0709785 0.410494i
\(119\) 6.38667 17.5472i 0.585465 1.60855i
\(120\) 16.3819 5.43672i 1.49545 0.496303i
\(121\) −4.98753 + 8.63865i −0.453411 + 0.785332i
\(122\) 13.3431 0.0442471i 1.20803 0.00400594i
\(123\) 2.99179 16.9673i 0.269760 1.52989i
\(124\) −2.21760 + 0.823839i −0.199147 + 0.0739829i
\(125\) 10.2632 4.43470i 0.917969 0.396652i
\(126\) 10.0674 + 17.3046i 0.896879 + 1.54161i
\(127\) 5.15197 6.13988i 0.457163 0.544826i −0.487390 0.873185i \(-0.662051\pi\)
0.944553 + 0.328358i \(0.106495\pi\)
\(128\) 8.49567 7.47151i 0.750919 0.660395i
\(129\) −4.45587 12.2424i −0.392317 1.07788i
\(130\) −5.93150 + 14.6660i −0.520227 + 1.28629i
\(131\) −10.1411 + 1.78815i −0.886033 + 0.156232i −0.598103 0.801420i \(-0.704078\pi\)
−0.287931 + 0.957651i \(0.592967\pi\)
\(132\) 2.79463 + 4.76715i 0.243242 + 0.414927i
\(133\) 13.2428 + 4.13165i 1.14830 + 0.358260i
\(134\) −7.45166 4.26933i −0.643725 0.368814i
\(135\) −8.18135 3.34047i −0.704139 0.287502i
\(136\) 10.7934 + 12.6062i 0.925525 + 1.08097i
\(137\) 2.05984 + 5.65936i 0.175984 + 0.483512i 0.996054 0.0887514i \(-0.0282877\pi\)
−0.820070 + 0.572264i \(0.806065\pi\)
\(138\) 15.0416 + 17.8056i 1.28043 + 1.51572i
\(139\) −10.4465 + 12.4496i −0.886060 + 1.05597i 0.112000 + 0.993708i \(0.464274\pi\)
−0.998060 + 0.0622569i \(0.980170\pi\)
\(140\) 12.0924 + 7.50645i 1.02199 + 0.634411i
\(141\) 16.4549 9.50026i 1.38575 0.800066i
\(142\) 1.61777 + 1.34836i 0.135760 + 0.113151i
\(143\) −4.98782 0.879487i −0.417102 0.0735464i
\(144\) −17.7908 + 0.235998i −1.48257 + 0.0196665i
\(145\) −3.01251 5.71623i −0.250175 0.474707i
\(146\) 6.89835 + 18.7593i 0.570912 + 1.55253i
\(147\) −2.92028 + 8.02340i −0.240861 + 0.661759i
\(148\) 9.63050 + 7.97271i 0.791622 + 0.655352i
\(149\) −5.67929 + 4.76549i −0.465266 + 0.390404i −0.845064 0.534665i \(-0.820438\pi\)
0.379798 + 0.925069i \(0.375993\pi\)
\(150\) −19.2000 + 1.93989i −1.56768 + 0.158392i
\(151\) −1.70219 −0.138522 −0.0692612 0.997599i \(-0.522064\pi\)
−0.0692612 + 0.997599i \(0.522064\pi\)
\(152\) −8.98106 + 8.44633i −0.728460 + 0.685088i
\(153\) 26.0989i 2.10997i
\(154\) −1.54424 + 4.28695i −0.124439 + 0.345452i
\(155\) 2.62051 0.358485i 0.210485 0.0287942i
\(156\) 17.4130 21.0337i 1.39415 1.68404i
\(157\) 2.94835 8.10052i 0.235304 0.646492i −0.764694 0.644394i \(-0.777110\pi\)
0.999998 0.00209846i \(-0.000667961\pi\)
\(158\) 7.45338 2.74083i 0.592959 0.218049i
\(159\) 19.8429 + 11.4563i 1.57365 + 0.908545i
\(160\) −11.0909 + 6.08208i −0.876813 + 0.480831i
\(161\) −3.33752 + 18.9280i −0.263033 + 1.49173i
\(162\) −2.77967 2.31675i −0.218391 0.182021i
\(163\) 4.92357 + 8.52788i 0.385644 + 0.667955i 0.991858 0.127346i \(-0.0406460\pi\)
−0.606214 + 0.795301i \(0.707313\pi\)
\(164\) 0.0837378 + 12.6258i 0.00653882 + 0.985907i
\(165\) −1.88757 5.88275i −0.146947 0.457971i
\(166\) 9.46153 7.99278i 0.734357 0.620360i
\(167\) −4.79605 13.1770i −0.371129 1.01967i −0.974926 0.222531i \(-0.928568\pi\)
0.603796 0.797139i \(-0.293654\pi\)
\(168\) −15.9774 18.6610i −1.23269 1.43973i
\(169\) 2.08854 + 11.8447i 0.160657 + 0.911131i
\(170\) −8.70497 16.3857i −0.667641 1.25672i
\(171\) 19.3677 0.904052i 1.48109 0.0691346i
\(172\) 4.82846 + 8.23650i 0.368167 + 0.628027i
\(173\) −0.862887 4.89368i −0.0656041 0.372059i −0.999880 0.0155078i \(-0.995064\pi\)
0.934276 0.356552i \(-0.116048\pi\)
\(174\) 1.97307 + 10.9769i 0.149578 + 0.832155i
\(175\) −11.3652 11.1377i −0.859128 0.841927i
\(176\) −2.64395 3.06737i −0.199295 0.231212i
\(177\) 5.61333 6.68971i 0.421924 0.502829i
\(178\) 6.22173 3.61968i 0.466339 0.271307i
\(179\) −5.78145 10.0138i −0.432126 0.748464i 0.564930 0.825139i \(-0.308903\pi\)
−0.997056 + 0.0766749i \(0.975570\pi\)
\(180\) 19.4700 + 4.07825i 1.45121 + 0.303975i
\(181\) 14.5003 + 2.55679i 1.07780 + 0.190044i 0.684240 0.729257i \(-0.260134\pi\)
0.393555 + 0.919301i \(0.371245\pi\)
\(182\) 22.5162 0.0746662i 1.66901 0.00553463i
\(183\) 22.2996 + 12.8747i 1.64843 + 0.951723i
\(184\) −13.1937 10.8490i −0.972651 0.799798i
\(185\) −8.56530 11.0464i −0.629734 0.812150i
\(186\) −4.49850 0.777835i −0.329846 0.0570337i
\(187\) 4.55044 3.81827i 0.332761 0.279219i
\(188\) −10.6070 + 9.02089i −0.773596 + 0.657916i
\(189\) 12.5776i 0.914883i
\(190\) 11.8581 7.02746i 0.860278 0.509825i
\(191\) 16.3660i 1.18420i 0.805865 + 0.592100i \(0.201701\pi\)
−0.805865 + 0.592100i \(0.798299\pi\)
\(192\) 21.4216 4.21828i 1.54597 0.304428i
\(193\) 5.14586 4.31789i 0.370407 0.310809i −0.438515 0.898724i \(-0.644496\pi\)
0.808923 + 0.587915i \(0.200051\pi\)
\(194\) 3.55633 20.5676i 0.255330 1.47666i
\(195\) −24.1262 + 18.7072i −1.72771 + 1.33965i
\(196\) 1.04566 6.16921i 0.0746900 0.440658i
\(197\) −15.3393 8.85613i −1.09288 0.630973i −0.158536 0.987353i \(-0.550678\pi\)
−0.934341 + 0.356380i \(0.884011\pi\)
\(198\) 0.0211187 + 6.36852i 0.00150084 + 0.452591i
\(199\) 12.1491 + 2.14222i 0.861227 + 0.151858i 0.586782 0.809745i \(-0.300395\pi\)
0.274445 + 0.961603i \(0.411506\pi\)
\(200\) 13.5841 3.93352i 0.960540 0.278142i
\(201\) −8.28651 14.3527i −0.584486 1.01236i
\(202\) −3.38220 5.81353i −0.237970 0.409038i
\(203\) −5.91137 + 7.04490i −0.414897 + 0.494455i
\(204\) 5.77028 + 31.5017i 0.404000 + 2.20556i
\(205\) 2.98562 13.7970i 0.208525 0.963625i
\(206\) 21.3580 3.83907i 1.48808 0.267481i
\(207\) 4.66469 + 26.4548i 0.324219 + 1.83874i
\(208\) −9.77474 + 17.4612i −0.677756 + 1.21072i
\(209\) 2.99112 + 3.24457i 0.206900 + 0.224431i
\(210\) 12.8860 + 24.2557i 0.889216 + 1.67380i
\(211\) −1.15829 6.56899i −0.0797400 0.452228i −0.998368 0.0571048i \(-0.981813\pi\)
0.918628 0.395123i \(-0.129298\pi\)
\(212\) −15.8163 5.63816i −1.08627 0.387230i
\(213\) 1.39001 + 3.81902i 0.0952420 + 0.261675i
\(214\) −17.1868 20.3451i −1.17487 1.39076i
\(215\) −3.26128 10.1640i −0.222417 0.693178i
\(216\) −9.73561 5.49245i −0.662424 0.373714i
\(217\) −1.88223 3.26011i −0.127774 0.221311i
\(218\) −6.82219 + 8.18534i −0.462057 + 0.554381i
\(219\) −6.69785 + 37.9854i −0.452598 + 2.56681i
\(220\) 2.13740 + 3.99130i 0.144103 + 0.269094i
\(221\) −25.4206 14.6766i −1.70998 0.987256i
\(222\) 8.32703 + 22.6444i 0.558874 + 1.51979i
\(223\) −1.77574 + 4.87879i −0.118912 + 0.326708i −0.984841 0.173459i \(-0.944506\pi\)
0.865929 + 0.500167i \(0.166728\pi\)
\(224\) 13.9812 + 11.3420i 0.934160 + 0.757818i
\(225\) −20.2508 9.19495i −1.35005 0.612997i
\(226\) −7.11555 2.56316i −0.473319 0.170499i
\(227\) 5.16817i 0.343023i 0.985182 + 0.171512i \(0.0548651\pi\)
−0.985182 + 0.171512i \(0.945135\pi\)
\(228\) −23.1772 + 5.37327i −1.53495 + 0.355853i
\(229\) 14.2247 0.939997 0.469998 0.882667i \(-0.344255\pi\)
0.469998 + 0.882667i \(0.344255\pi\)
\(230\) 11.7523 + 15.0533i 0.774924 + 0.992583i
\(231\) −6.73601 + 5.65218i −0.443197 + 0.371886i
\(232\) −2.87166 7.65209i −0.188534 0.502384i
\(233\) 1.56141 4.28993i 0.102291 0.281042i −0.877981 0.478696i \(-0.841110\pi\)
0.980272 + 0.197653i \(0.0633320\pi\)
\(234\) 29.5363 10.8614i 1.93085 0.710032i
\(235\) 13.7723 7.25814i 0.898405 0.473469i
\(236\) −3.16303 + 5.56341i −0.205896 + 0.362147i
\(237\) 15.0922 + 2.66117i 0.980347 + 0.172862i
\(238\) −16.9076 + 20.2860i −1.09596 + 1.31494i
\(239\) −5.83611 + 3.36948i −0.377506 + 0.217953i −0.676733 0.736229i \(-0.736605\pi\)
0.299226 + 0.954182i \(0.403271\pi\)
\(240\) −24.4022 0.617826i −1.57515 0.0398805i
\(241\) 4.41428 5.26074i 0.284349 0.338874i −0.604897 0.796304i \(-0.706786\pi\)
0.889246 + 0.457430i \(0.151230\pi\)
\(242\) 10.7763 9.10349i 0.692730 0.585195i
\(243\) −6.44336 17.7030i −0.413342 1.13565i
\(244\) −17.7745 6.33620i −1.13789 0.405634i
\(245\) −2.64445 + 6.47669i −0.168948 + 0.413781i
\(246\) −12.1127 + 21.1414i −0.772278 + 1.34793i
\(247\) 10.0108 19.3728i 0.636972 1.23266i
\(248\) 3.34542 0.0332823i 0.212435 0.00211343i
\(249\) 23.5385 4.15048i 1.49169 0.263026i
\(250\) −15.7809 + 0.981520i −0.998071 + 0.0620768i
\(251\) 6.81952 + 18.7365i 0.430444 + 1.18264i 0.945541 + 0.325504i \(0.105534\pi\)
−0.515096 + 0.857132i \(0.672244\pi\)
\(252\) −5.10124 27.8492i −0.321348 1.75434i
\(253\) −3.93004 + 4.68364i −0.247080 + 0.294458i
\(254\) −9.79754 + 5.70001i −0.614752 + 0.357651i
\(255\) 1.38096 35.7793i 0.0864791 2.24059i
\(256\) −14.8846 + 5.86921i −0.930290 + 0.366826i
\(257\) −2.71289 + 15.3856i −0.169225 + 0.959725i 0.775375 + 0.631502i \(0.217561\pi\)
−0.944600 + 0.328224i \(0.893550\pi\)
\(258\) 0.0610973 + 18.4244i 0.00380375 + 1.14705i
\(259\) −9.94738 + 17.2294i −0.618100 + 1.07058i
\(260\) 14.9211 16.6706i 0.925368 1.03387i
\(261\) −4.39615 + 12.0783i −0.272115 + 0.747629i
\(262\) 14.3500 + 2.48126i 0.886547 + 0.153293i
\(263\) 3.34770 2.80906i 0.206428 0.173214i −0.533712 0.845666i \(-0.679203\pi\)
0.740140 + 0.672452i \(0.234759\pi\)
\(264\) −1.43352 7.68221i −0.0882273 0.472808i
\(265\) 15.8839 + 10.0066i 0.975740 + 0.614702i
\(266\) −15.6397 11.8443i −0.958930 0.726220i
\(267\) 13.8907 0.850095
\(268\) 7.86840 + 9.25188i 0.480639 + 0.565148i
\(269\) −12.9509 15.4343i −0.789631 0.941046i 0.209694 0.977767i \(-0.432753\pi\)
−0.999326 + 0.0367211i \(0.988309\pi\)
\(270\) 9.28445 + 8.36573i 0.565034 + 0.509122i
\(271\) 5.37440 14.7660i 0.326472 0.896973i −0.662526 0.749039i \(-0.730515\pi\)
0.988997 0.147934i \(-0.0472623\pi\)
\(272\) −8.31894 21.9459i −0.504410 1.33067i
\(273\) 37.6302 + 21.7258i 2.27748 + 1.31490i
\(274\) −0.0282438 8.51715i −0.00170627 0.514540i
\(275\) −1.35951 4.87601i −0.0819817 0.294034i
\(276\) −11.4793 30.8999i −0.690973 1.85996i
\(277\) −17.1663 + 9.91100i −1.03143 + 0.595494i −0.917393 0.397983i \(-0.869710\pi\)
−0.114033 + 0.993477i \(0.536377\pi\)
\(278\) 19.8662 11.5577i 1.19149 0.693187i
\(279\) −4.03047 3.38197i −0.241298 0.202473i
\(280\) −12.4915 15.7831i −0.746508 0.943222i
\(281\) 0.694607 + 1.90842i 0.0414368 + 0.113847i 0.958685 0.284469i \(-0.0918172\pi\)
−0.917249 + 0.398315i \(0.869595\pi\)
\(282\) −26.4469 + 4.75379i −1.57489 + 0.283084i
\(283\) −0.898453 5.09538i −0.0534075 0.302889i 0.946390 0.323027i \(-0.104701\pi\)
−0.999797 + 0.0201382i \(0.993589\pi\)
\(284\) −1.50624 2.56938i −0.0893790 0.152465i
\(285\) 26.5993 0.214580i 1.57561 0.0127106i
\(286\) 6.21489 + 3.56074i 0.367494 + 0.210551i
\(287\) −19.7863 + 3.48885i −1.16795 + 0.205940i
\(288\) 23.7842 + 8.21279i 1.40150 + 0.483943i
\(289\) 16.3757 5.96029i 0.963279 0.350605i
\(290\) 1.26854 + 9.04942i 0.0744912 + 0.531400i
\(291\) 25.8914 30.8561i 1.51778 1.80882i
\(292\) −0.187467 28.2659i −0.0109707 1.65414i
\(293\) −13.3016 23.0390i −0.777085 1.34595i −0.933615 0.358278i \(-0.883364\pi\)
0.156530 0.987673i \(-0.449969\pi\)
\(294\) 7.73096 9.27569i 0.450879 0.540969i
\(295\) 4.80718 5.29966i 0.279885 0.308558i
\(296\) −8.99244 15.2236i −0.522675 0.884852i
\(297\) −2.00052 + 3.46500i −0.116082 + 0.201060i
\(298\) 9.84043 3.61862i 0.570041 0.209621i
\(299\) 28.3904 + 10.3333i 1.64186 + 0.597589i
\(300\) 26.4759 + 6.62113i 1.52858 + 0.382271i
\(301\) −11.6382 + 9.76563i −0.670816 + 0.562881i
\(302\) 2.26481 + 0.815827i 0.130325 + 0.0469456i
\(303\) 12.9793i 0.745642i
\(304\) 15.9977 6.93359i 0.917529 0.397669i
\(305\) 17.8504 + 11.2455i 1.02211 + 0.643916i
\(306\) −12.5087 + 34.7252i −0.715074 + 1.98511i
\(307\) −7.12390 8.48994i −0.406583 0.484546i 0.523433 0.852067i \(-0.324651\pi\)
−0.930015 + 0.367521i \(0.880207\pi\)
\(308\) 4.10930 4.96376i 0.234149 0.282836i
\(309\) 39.3514 + 14.3227i 2.23862 + 0.814791i
\(310\) −3.65847 0.778988i −0.207787 0.0442435i
\(311\) 1.45863 + 0.842142i 0.0827115 + 0.0477535i 0.540785 0.841161i \(-0.318127\pi\)
−0.458074 + 0.888914i \(0.651460\pi\)
\(312\) −33.2494 + 19.6401i −1.88237 + 1.11190i
\(313\) −30.1296 5.31267i −1.70303 0.300290i −0.764278 0.644887i \(-0.776904\pi\)
−0.938751 + 0.344597i \(0.888015\pi\)
\(314\) −7.80527 + 9.36485i −0.440477 + 0.528489i
\(315\) −1.22084 + 31.6309i −0.0687868 + 1.78220i
\(316\) −11.2305 + 0.0744841i −0.631766 + 0.00419006i
\(317\) −14.9318 12.5293i −0.838652 0.703713i 0.118608 0.992941i \(-0.462157\pi\)
−0.957260 + 0.289228i \(0.906601\pi\)
\(318\) −20.9107 24.7532i −1.17261 1.38809i
\(319\) −2.74905 + 1.00057i −0.153917 + 0.0560214i
\(320\) 17.6717 2.77669i 0.987880 0.155222i
\(321\) −8.92474 50.6147i −0.498131 2.82504i
\(322\) 13.5124 23.5845i 0.753019 1.31431i
\(323\) 9.85844 + 23.5991i 0.548538 + 1.31309i
\(324\) 2.58803 + 4.41473i 0.143780 + 0.245263i
\(325\) −20.3439 + 14.5537i −1.12848 + 0.807295i
\(326\) −2.46368 13.7063i −0.136451 0.759122i
\(327\) −19.3229 + 7.03296i −1.06856 + 0.388923i
\(328\) 5.93987 16.8390i 0.327974 0.929779i
\(329\) −16.9735 14.2424i −0.935779 0.785212i
\(330\) −0.308023 + 8.73180i −0.0169561 + 0.480670i
\(331\) −16.1667 28.0016i −0.888605 1.53911i −0.841525 0.540217i \(-0.818342\pi\)
−0.0470793 0.998891i \(-0.514991\pi\)
\(332\) −16.4196 + 6.09985i −0.901140 + 0.334773i
\(333\) −4.82846 + 27.3836i −0.264598 + 1.50061i
\(334\) 0.0657617 + 19.8310i 0.00359832 + 1.08510i
\(335\) −6.33085 12.0128i −0.345891 0.656327i
\(336\) 12.3145 + 32.4865i 0.671812 + 1.77228i
\(337\) 18.7486 + 6.82393i 1.02130 + 0.371723i 0.797762 0.602972i \(-0.206017\pi\)
0.223538 + 0.974695i \(0.428239\pi\)
\(338\) 2.89808 16.7606i 0.157635 0.911658i
\(339\) −9.38159 11.1805i −0.509538 0.607244i
\(340\) 3.72883 + 25.9736i 0.202224 + 1.40862i
\(341\) 1.19751i 0.0648487i
\(342\) −26.2025 8.07971i −1.41687 0.436901i
\(343\) −12.3209 −0.665267
\(344\) −2.47679 13.2730i −0.133539 0.715634i
\(345\) 4.99510 + 36.5140i 0.268927 + 1.96585i
\(346\) −1.19735 + 6.92471i −0.0643700 + 0.372275i
\(347\) −28.3000 10.3004i −1.51923 0.552953i −0.558271 0.829659i \(-0.688535\pi\)
−0.960955 + 0.276706i \(0.910757\pi\)
\(348\) 2.63578 15.5506i 0.141293 0.833602i
\(349\) 9.33083 16.1615i 0.499468 0.865103i −0.500532 0.865718i \(-0.666862\pi\)
1.00000 0.000614500i \(0.000195602\pi\)
\(350\) 9.78360 + 20.2660i 0.522955 + 1.08326i
\(351\) 19.4707 + 3.43321i 1.03927 + 0.183251i
\(352\) 2.04770 + 5.34839i 0.109143 + 0.285070i
\(353\) −12.6924 + 7.32797i −0.675549 + 0.390029i −0.798176 0.602424i \(-0.794202\pi\)
0.122627 + 0.992453i \(0.460868\pi\)
\(354\) −10.6749 + 6.21045i −0.567365 + 0.330082i
\(355\) 1.01736 + 3.17066i 0.0539958 + 0.168281i
\(356\) −10.0130 + 1.83412i −0.530688 + 0.0972079i
\(357\) −47.8885 + 17.4300i −2.53453 + 0.922492i
\(358\) 2.89295 + 16.0945i 0.152897 + 0.850619i
\(359\) −11.5786 + 2.04163i −0.611097 + 0.107753i −0.470627 0.882332i \(-0.655972\pi\)
−0.140470 + 0.990085i \(0.544861\pi\)
\(360\) −23.9506 14.7578i −1.26231 0.777803i
\(361\) −17.1712 + 8.13330i −0.903746 + 0.428069i
\(362\) −18.0675 10.3515i −0.949607 0.544065i
\(363\) 26.8095 4.72725i 1.40714 0.248116i
\(364\) −29.9941 10.6922i −1.57212 0.560425i
\(365\) −6.68404 + 30.8880i −0.349859 + 1.61675i
\(366\) −23.4995 27.8178i −1.22834 1.45406i
\(367\) 21.6629 + 18.1774i 1.13080 + 0.948851i 0.999099 0.0424388i \(-0.0135128\pi\)
0.131698 + 0.991290i \(0.457957\pi\)
\(368\) 12.3548 + 20.7583i 0.644038 + 1.08210i
\(369\) −24.3188 + 14.0405i −1.26599 + 0.730919i
\(370\) 6.10200 + 18.8027i 0.317228 + 0.977506i
\(371\) 4.63978 26.3135i 0.240885 1.36613i
\(372\) 5.61256 + 3.19097i 0.290998 + 0.165444i
\(373\) 0.535283 0.927138i 0.0277159 0.0480054i −0.851835 0.523811i \(-0.824510\pi\)
0.879551 + 0.475805i \(0.157843\pi\)
\(374\) −7.88448 + 2.89936i −0.407697 + 0.149922i
\(375\) −27.2755 13.6770i −1.40850 0.706277i
\(376\) 18.4364 6.91877i 0.950785 0.356809i
\(377\) 9.29227 + 11.0741i 0.478576 + 0.570345i
\(378\) 6.02817 16.7347i 0.310056 0.860742i
\(379\) 34.8984 1.79261 0.896305 0.443438i \(-0.146241\pi\)
0.896305 + 0.443438i \(0.146241\pi\)
\(380\) −19.1456 + 3.66684i −0.982149 + 0.188105i
\(381\) −21.8740 −1.12064
\(382\) 7.84388 21.7753i 0.401328 1.11412i
\(383\) 15.6669 + 18.6711i 0.800543 + 0.954050i 0.999664 0.0259253i \(-0.00825321\pi\)
−0.199121 + 0.979975i \(0.563809\pi\)
\(384\) −30.5237 4.65443i −1.55765 0.237520i
\(385\) −5.69356 + 4.41473i −0.290171 + 0.224996i
\(386\) −8.91616 + 3.27874i −0.453821 + 0.166884i
\(387\) −10.6170 + 18.3892i −0.539693 + 0.934776i
\(388\) −14.5894 + 25.6611i −0.740664 + 1.30275i
\(389\) −4.84237 + 27.4624i −0.245518 + 1.39240i 0.573770 + 0.819017i \(0.305480\pi\)
−0.819287 + 0.573383i \(0.805631\pi\)
\(390\) 41.0665 13.3272i 2.07948 0.674849i
\(391\) −30.6872 + 17.7172i −1.55192 + 0.895999i
\(392\) −4.34805 + 7.70711i −0.219610 + 0.389268i
\(393\) 21.5284 + 18.0644i 1.08596 + 0.911231i
\(394\) 16.1647 + 19.1351i 0.814365 + 0.964012i
\(395\) 12.2723 + 2.65569i 0.617488 + 0.133622i
\(396\) 3.02421 8.48358i 0.151972 0.426316i
\(397\) 25.3341 4.46708i 1.27148 0.224196i 0.503122 0.864216i \(-0.332185\pi\)
0.768359 + 0.640019i \(0.221074\pi\)
\(398\) −15.1379 8.67309i −0.758796 0.434743i
\(399\) −14.5934 34.9338i −0.730586 1.74888i
\(400\) −19.9592 1.27694i −0.997960 0.0638470i
\(401\) 14.0961 2.48552i 0.703924 0.124121i 0.189782 0.981826i \(-0.439222\pi\)
0.514142 + 0.857705i \(0.328111\pi\)
\(402\) 4.14645 + 23.0681i 0.206806 + 1.15053i
\(403\) −5.56060 + 2.02389i −0.276993 + 0.100817i
\(404\) 1.71378 + 9.35605i 0.0852638 + 0.465481i
\(405\) −1.74803 5.44785i −0.0868604 0.270706i
\(406\) 11.2417 6.54020i 0.557916 0.324584i
\(407\) −5.48082 + 3.16436i −0.271674 + 0.156851i
\(408\) 7.42066 44.6793i 0.367377 2.21196i
\(409\) −19.5699 3.45070i −0.967670 0.170626i −0.332589 0.943072i \(-0.607922\pi\)
−0.635081 + 0.772446i \(0.719033\pi\)
\(410\) −10.5851 + 16.9263i −0.522759 + 0.835930i
\(411\) 8.21816 14.2343i 0.405372 0.702125i
\(412\) −30.2573 5.12851i −1.49067 0.252664i
\(413\) −9.56953 3.48303i −0.470886 0.171388i
\(414\) 6.47277 37.4344i 0.318119 1.83980i
\(415\) 19.4028 2.65429i 0.952444 0.130294i
\(416\) 21.3743 18.5477i 1.04796 0.909375i
\(417\) 44.3533 2.17199
\(418\) −2.42470 5.75056i −0.118596 0.281269i
\(419\) 12.1981i 0.595914i 0.954579 + 0.297957i \(0.0963053\pi\)
−0.954579 + 0.297957i \(0.903695\pi\)
\(420\) −5.51978 38.4488i −0.269338 1.87611i
\(421\) −9.20196 10.9665i −0.448476 0.534473i 0.493682 0.869643i \(-0.335651\pi\)
−0.942158 + 0.335170i \(0.891206\pi\)
\(422\) −1.60725 + 9.29533i −0.0782399 + 0.452490i
\(423\) −29.1007 10.5918i −1.41492 0.514990i
\(424\) 18.3417 + 15.0821i 0.890752 + 0.732454i
\(425\) 2.26126 29.2499i 0.109687 1.41883i
\(426\) −0.0190593 5.74750i −0.000923428 0.278467i
\(427\) 5.21421 29.5712i 0.252333 1.43105i
\(428\) 13.1165 + 35.3069i 0.634009 + 1.70662i
\(429\) 6.91118 + 11.9705i 0.333675 + 0.577942i
\(430\) −0.532190 + 15.0865i −0.0256645 + 0.727535i
\(431\) 2.80631 + 2.35477i 0.135175 + 0.113425i 0.707868 0.706344i \(-0.249657\pi\)
−0.572693 + 0.819770i \(0.694101\pi\)
\(432\) 10.3210 + 11.9739i 0.496571 + 0.576095i
\(433\) 1.22220 0.444844i 0.0587351 0.0213778i −0.312486 0.949923i \(-0.601162\pi\)
0.371221 + 0.928545i \(0.378939\pi\)
\(434\) 0.941839 + 5.23977i 0.0452097 + 0.251517i
\(435\) −6.66583 + 16.3257i −0.319602 + 0.782758i
\(436\) 13.0002 7.62104i 0.622594 0.364982i
\(437\) −14.2108 22.1589i −0.679793 1.06000i
\(438\) 27.1173 47.3302i 1.29571 2.26153i
\(439\) −1.03416 5.86503i −0.0493579 0.279922i 0.950132 0.311847i \(-0.100948\pi\)
−0.999490 + 0.0319243i \(0.989836\pi\)
\(440\) −0.930906 6.33493i −0.0443792 0.302006i
\(441\) 13.0771 4.75967i 0.622718 0.226651i
\(442\) 26.7885 + 31.7112i 1.27420 + 1.50835i
\(443\) −18.5732 15.5848i −0.882440 0.740455i 0.0842389 0.996446i \(-0.473154\pi\)
−0.966679 + 0.255990i \(0.917599\pi\)
\(444\) −0.226293 34.1199i −0.0107394 1.61926i
\(445\) 11.3727 + 0.438946i 0.539116 + 0.0208080i
\(446\) 4.70097 5.64027i 0.222597 0.267075i
\(447\) 19.9257 + 3.51345i 0.942455 + 0.166180i
\(448\) −13.1663 21.7917i −0.622051 1.02956i
\(449\) 13.8669 + 8.00608i 0.654421 + 0.377830i 0.790148 0.612916i \(-0.210004\pi\)
−0.135727 + 0.990746i \(0.543337\pi\)
\(450\) 22.5371 + 21.9399i 1.06241 + 1.03426i
\(451\) −6.00585 2.18595i −0.282805 0.102932i
\(452\) 8.23893 + 6.82068i 0.387527 + 0.320818i
\(453\) 2.98606 + 3.55865i 0.140298 + 0.167200i
\(454\) 2.47700 6.87637i 0.116251 0.322724i
\(455\) 30.1223 + 18.9766i 1.41215 + 0.889637i
\(456\) 33.4131 + 3.95913i 1.56471 + 0.185403i
\(457\) 34.6973i 1.62307i 0.584303 + 0.811535i \(0.301368\pi\)
−0.584303 + 0.811535i \(0.698632\pi\)
\(458\) −18.9263 6.81763i −0.884369 0.318567i
\(459\) −17.7633 + 14.9052i −0.829119 + 0.695714i
\(460\) −8.42198 25.6614i −0.392677 1.19647i
\(461\) 29.0943 + 10.5895i 1.35506 + 0.493201i 0.914523 0.404534i \(-0.132566\pi\)
0.440536 + 0.897735i \(0.354789\pi\)
\(462\) 11.6714 4.29192i 0.543002 0.199678i
\(463\) −13.6653 + 23.6690i −0.635079 + 1.09999i 0.351419 + 0.936218i \(0.385699\pi\)
−0.986498 + 0.163771i \(0.947634\pi\)
\(464\) 0.153313 + 11.5576i 0.00711740 + 0.536548i
\(465\) −5.34648 4.84965i −0.247937 0.224897i
\(466\) −4.13356 + 4.95949i −0.191484 + 0.229744i
\(467\) 12.3956 + 21.4697i 0.573598 + 0.993502i 0.996192 + 0.0871824i \(0.0277863\pi\)
−0.422594 + 0.906319i \(0.638880\pi\)
\(468\) −44.5044 + 0.295166i −2.05722 + 0.0136441i
\(469\) −12.4229 + 14.8050i −0.573634 + 0.683630i
\(470\) −21.8030 + 3.05633i −1.00570 + 0.140978i
\(471\) −22.1073 + 8.04640i −1.01865 + 0.370759i
\(472\) 6.87491 5.88627i 0.316443 0.270937i
\(473\) −4.75949 + 0.839227i −0.218842 + 0.0385877i
\(474\) −18.8051 10.7742i −0.863748 0.494873i
\(475\) 21.7844 + 0.664857i 0.999535 + 0.0305057i
\(476\) 32.2187 18.8875i 1.47674 0.865705i
\(477\) −6.48480 36.7772i −0.296919 1.68391i
\(478\) 9.38000 1.68604i 0.429031 0.0771176i
\(479\) −4.49014 12.3366i −0.205160 0.563671i 0.793852 0.608110i \(-0.208072\pi\)
−0.999012 + 0.0444390i \(0.985850\pi\)
\(480\) 32.1715 + 12.5175i 1.46842 + 0.571344i
\(481\) 23.9567 + 20.1020i 1.09233 + 0.916573i
\(482\) −8.39467 + 4.88385i −0.382367 + 0.222453i
\(483\) 45.4262 26.2268i 2.06696 1.19336i
\(484\) −18.7013 + 6.94752i −0.850059 + 0.315796i
\(485\) 22.1730 24.4446i 1.00682 1.10997i
\(486\) 0.0883491 + 26.6424i 0.00400760 + 1.20852i
\(487\) 17.4027 + 10.0475i 0.788594 + 0.455295i 0.839467 0.543410i \(-0.182867\pi\)
−0.0508736 + 0.998705i \(0.516201\pi\)
\(488\) 20.6125 + 16.9494i 0.933085 + 0.767264i
\(489\) 9.19146 25.2533i 0.415652 1.14200i
\(490\) 6.62265 7.34996i 0.299181 0.332037i
\(491\) 11.7701 + 14.0271i 0.531177 + 0.633032i 0.963186 0.268837i \(-0.0866394\pi\)
−0.432009 + 0.901870i \(0.642195\pi\)
\(492\) 26.2489 22.3238i 1.18339 1.00643i
\(493\) −16.9548 −0.763608
\(494\) −22.6046 + 20.9780i −1.01703 + 0.943843i
\(495\) −5.36737 + 8.51983i −0.241245 + 0.382938i
\(496\) −4.46711 1.55911i −0.200579 0.0700062i
\(497\) 3.63055 3.04639i 0.162852 0.136649i
\(498\) −33.3078 5.75924i −1.49256 0.258078i
\(499\) 1.02077 2.80453i 0.0456958 0.125548i −0.914746 0.404030i \(-0.867609\pi\)
0.960441 + 0.278482i \(0.0898313\pi\)
\(500\) 21.4673 + 6.25753i 0.960045 + 0.279845i
\(501\) −19.1348 + 33.1425i −0.854881 + 1.48070i
\(502\) −0.0935069 28.1978i −0.00417342 1.25853i
\(503\) 1.40030 7.94152i 0.0624365 0.354095i −0.937544 0.347866i \(-0.886906\pi\)
0.999981 0.00622852i \(-0.00198261\pi\)
\(504\) −6.56026 + 39.4989i −0.292217 + 1.75942i
\(505\) 0.410147 10.6265i 0.0182513 0.472873i
\(506\) 7.47378 4.34810i 0.332250 0.193297i
\(507\) 21.0990 25.1449i 0.937042 1.11672i
\(508\) 15.7677 2.88823i 0.699581 0.128145i
\(509\) −0.0677817 0.186229i −0.00300437 0.00825444i 0.938181 0.346144i \(-0.112509\pi\)
−0.941186 + 0.337890i \(0.890287\pi\)
\(510\) −18.9857 + 46.9434i −0.840702 + 2.07869i
\(511\) 44.2964 7.81065i 1.95956 0.345523i
\(512\) 22.6173 0.675212i 0.999555 0.0298404i
\(513\) −11.6763 12.6656i −0.515521 0.559202i
\(514\) 10.9836 19.1706i 0.484464 0.845579i
\(515\) 31.7654 + 12.9699i 1.39975 + 0.571522i
\(516\) 8.74916 24.5434i 0.385160 1.08046i
\(517\) −2.41071 6.62338i −0.106023 0.291296i
\(518\) 21.4929 18.1565i 0.944344 0.797750i
\(519\) −8.71714 + 10.3887i −0.382640 + 0.456013i
\(520\) −27.8428 + 15.0292i −1.22099 + 0.659074i
\(521\) 3.04886 1.76026i 0.133573 0.0771184i −0.431725 0.902006i \(-0.642095\pi\)
0.565297 + 0.824887i \(0.308761\pi\)
\(522\) 11.6381 13.9635i 0.509385 0.611166i
\(523\) −22.4405 3.95686i −0.981254 0.173022i −0.340063 0.940403i \(-0.610448\pi\)
−0.641191 + 0.767381i \(0.721559\pi\)
\(524\) −17.9038 10.1790i −0.782131 0.444674i
\(525\) −3.34734 + 43.2986i −0.146090 + 1.88970i
\(526\) −5.80052 + 2.13303i −0.252915 + 0.0930044i
\(527\) 2.37371 6.52170i 0.103400 0.284090i
\(528\) −1.77460 + 10.9084i −0.0772294 + 0.474728i
\(529\) 10.3200 8.65947i 0.448694 0.376499i
\(530\) −16.3379 20.9269i −0.709674 0.909006i
\(531\) −14.2333 −0.617672
\(532\) 15.1322 + 23.2549i 0.656065 + 1.00823i
\(533\) 31.5824i 1.36799i
\(534\) −18.4819 6.65752i −0.799788 0.288099i
\(535\) −5.70750 41.7217i −0.246757 1.80378i
\(536\) −6.03484 16.0810i −0.260665 0.694593i
\(537\) −10.7930 + 29.6534i −0.465751 + 1.27964i
\(538\) 9.83414 + 26.7428i 0.423980 + 1.15296i
\(539\) 2.74304 + 1.58369i 0.118151 + 0.0682145i
\(540\) −8.34365 15.5806i −0.359054 0.670484i
\(541\) 6.52643 37.0132i 0.280593 1.59132i −0.440021 0.897987i \(-0.645029\pi\)
0.720614 0.693336i \(-0.243860\pi\)
\(542\) −14.2278 + 17.0707i −0.611138 + 0.733250i
\(543\) −20.0917 34.7999i −0.862218 1.49341i
\(544\) 0.550300 + 33.1866i 0.0235939 + 1.42286i
\(545\) −16.0424 + 5.14747i −0.687181 + 0.220493i
\(546\) −39.6551 46.9420i −1.69708 2.00893i
\(547\) 0.645066 + 1.77230i 0.0275810 + 0.0757783i 0.952719 0.303853i \(-0.0982731\pi\)
−0.925138 + 0.379631i \(0.876051\pi\)
\(548\) −4.04452 + 11.3458i −0.172773 + 0.484669i
\(549\) −7.28766 41.3304i −0.311030 1.76394i
\(550\) −0.528112 + 7.13923i −0.0225188 + 0.304418i
\(551\) −0.587307 12.5820i −0.0250201 0.536012i
\(552\) 0.463753 + 46.6149i 0.0197387 + 1.98406i
\(553\) −3.10331 17.5997i −0.131966 0.748416i
\(554\) 27.5904 4.95932i 1.17220 0.210701i
\(555\) −8.06834 + 37.2850i −0.342482 + 1.58266i
\(556\) −31.9718 + 5.85638i −1.35591 + 0.248366i
\(557\) 6.84446 8.15691i 0.290009 0.345620i −0.601293 0.799028i \(-0.705348\pi\)
0.891303 + 0.453409i \(0.149792\pi\)
\(558\) 3.74173 + 6.43151i 0.158400 + 0.272268i
\(559\) 11.9409 + 20.6822i 0.505045 + 0.874764i
\(560\) 9.05565 + 26.9867i 0.382671 + 1.14040i
\(561\) −15.9652 2.81509i −0.674049 0.118853i
\(562\) −0.00952420 2.87210i −0.000401754 0.121152i
\(563\) 4.42841 + 2.55674i 0.186635 + 0.107754i 0.590406 0.807106i \(-0.298968\pi\)
−0.403771 + 0.914860i \(0.632301\pi\)
\(564\) 37.4666 + 6.35046i 1.57763 + 0.267403i
\(565\) −7.32766 9.45027i −0.308277 0.397576i
\(566\) −1.24670 + 7.21013i −0.0524028 + 0.303064i
\(567\) −6.23804 + 5.23433i −0.261973 + 0.219821i
\(568\) 0.772636 + 4.14053i 0.0324191 + 0.173733i
\(569\) 30.2550i 1.26836i 0.773187 + 0.634178i \(0.218661\pi\)
−0.773187 + 0.634178i \(0.781339\pi\)
\(570\) −35.4938 12.4630i −1.48667 0.522018i
\(571\) 17.3053i 0.724204i 0.932138 + 0.362102i \(0.117941\pi\)
−0.932138 + 0.362102i \(0.882059\pi\)
\(572\) −6.56246 7.71632i −0.274390 0.322635i
\(573\) 34.2151 28.7099i 1.42936 1.19937i
\(574\) 27.9982 + 4.84116i 1.16862 + 0.202066i
\(575\) 2.93577 + 30.0529i 0.122430 + 1.25329i
\(576\) −27.7092 22.3266i −1.15455 0.930276i
\(577\) 16.4813 + 9.51548i 0.686125 + 0.396135i 0.802159 0.597111i \(-0.203685\pi\)
−0.116034 + 0.993245i \(0.537018\pi\)
\(578\) −24.6450 + 0.0817253i −1.02509 + 0.00339932i
\(579\) −18.0542 3.18344i −0.750307 0.132299i
\(580\) 2.64938 12.6484i 0.110010 0.525198i
\(581\) −13.9364 24.1385i −0.578178 1.00143i
\(582\) −49.2378 + 28.6456i −2.04097 + 1.18740i
\(583\) 5.46350 6.51114i 0.226275 0.269664i
\(584\) −13.2978 + 37.6982i −0.550269 + 1.55996i
\(585\) 48.6329 + 10.5240i 2.01072 + 0.435113i
\(586\) 6.65590 + 37.0290i 0.274953 + 1.52966i
\(587\) 1.03703 + 5.88130i 0.0428029 + 0.242747i 0.998701 0.0509507i \(-0.0162251\pi\)
−0.955898 + 0.293698i \(0.905114\pi\)
\(588\) −14.7319 + 8.63622i −0.607532 + 0.356152i
\(589\) 4.92191 + 1.53559i 0.202804 + 0.0632731i
\(590\) −8.93608 + 4.74733i −0.367893 + 0.195445i
\(591\) 8.39396 + 47.6045i 0.345281 + 1.95819i
\(592\) 4.66829 + 24.5652i 0.191865 + 1.00962i
\(593\) −2.27169 6.24141i −0.0932870 0.256304i 0.884270 0.466977i \(-0.154657\pi\)
−0.977557 + 0.210673i \(0.932435\pi\)
\(594\) 4.32244 3.65146i 0.177352 0.149821i
\(595\) −39.7584 + 12.7571i −1.62993 + 0.522991i
\(596\) −14.8272 + 0.0983386i −0.607348 + 0.00402811i
\(597\) −16.8339 29.1572i −0.688967 1.19333i
\(598\) −32.8216 27.3556i −1.34217 1.11865i
\(599\) 5.78001 32.7801i 0.236165 1.33936i −0.603981 0.796998i \(-0.706420\pi\)
0.840146 0.542360i \(-0.182469\pi\)
\(600\) −32.0533 21.4989i −1.30857 0.877689i
\(601\) 17.6568 + 10.1942i 0.720236 + 0.415828i 0.814840 0.579687i \(-0.196825\pi\)
−0.0946036 + 0.995515i \(0.530158\pi\)
\(602\) 20.1654 7.41542i 0.821880 0.302230i
\(603\) −9.23858 + 25.3828i −0.376224 + 1.03367i
\(604\) −2.62237 2.17095i −0.106703 0.0883348i
\(605\) 22.0991 3.02314i 0.898455 0.122908i
\(606\) −6.22072 + 17.2693i −0.252700 + 0.701516i
\(607\) 11.2024i 0.454692i −0.973814 0.227346i \(-0.926995\pi\)
0.973814 0.227346i \(-0.0730048\pi\)
\(608\) −24.6084 + 1.55794i −0.998002 + 0.0631828i
\(609\) 25.0983 1.01703
\(610\) −18.3607 23.5178i −0.743401 0.952206i
\(611\) −26.6811 + 22.3881i −1.07940 + 0.905727i
\(612\) 33.2862 40.2075i 1.34551 1.62529i
\(613\) 9.57534 26.3080i 0.386744 1.06257i −0.581713 0.813394i \(-0.697618\pi\)
0.968458 0.249178i \(-0.0801603\pi\)
\(614\) 5.40946 + 14.7104i 0.218308 + 0.593663i
\(615\) −34.0819 + 17.9615i −1.37432 + 0.724278i
\(616\) −7.84654 + 4.63489i −0.316146 + 0.186745i
\(617\) −7.96463 1.40438i −0.320644 0.0565382i 0.0110097 0.999939i \(-0.496495\pi\)
−0.331654 + 0.943401i \(0.607607\pi\)
\(618\) −45.4933 37.9170i −1.83001 1.52525i
\(619\) 30.5329 17.6282i 1.22722 0.708537i 0.260774 0.965400i \(-0.416022\pi\)
0.966448 + 0.256863i \(0.0826889\pi\)
\(620\) 4.49432 + 2.78989i 0.180496 + 0.112045i
\(621\) 15.3415 18.2833i 0.615633 0.733683i
\(622\) −1.53712 1.81958i −0.0616330 0.0729586i
\(623\) −5.54022 15.2216i −0.221964 0.609841i
\(624\) 53.6521 10.1959i 2.14780 0.408162i
\(625\) −21.8990 12.0596i −0.875959 0.482385i
\(626\) 37.5419 + 21.5092i 1.50048 + 0.859679i
\(627\) 1.53602 11.9451i 0.0613429 0.477041i
\(628\) 14.8735 8.71923i 0.593516 0.347935i
\(629\) −36.1213 + 6.36916i −1.44025 + 0.253955i
\(630\) 16.7844 41.5005i 0.668707 1.65342i
\(631\) −5.27370 14.4894i −0.209943 0.576813i 0.789368 0.613920i \(-0.210408\pi\)
−0.999311 + 0.0371065i \(0.988186\pi\)
\(632\) 14.9782 + 5.28346i 0.595799 + 0.210165i
\(633\) −11.7014 + 13.9452i −0.465088 + 0.554271i
\(634\) 13.8621 + 23.8270i 0.550532 + 0.946289i
\(635\) −17.9088 0.691220i −0.710691 0.0274302i
\(636\) 15.9584 + 42.9567i 0.632792 + 1.70335i
\(637\) 2.71787 15.4138i 0.107686 0.610717i
\(638\) 4.13723 0.0137195i 0.163795 0.000543160i
\(639\) 3.31199 5.73653i 0.131020 0.226934i
\(640\) −24.8434 4.77525i −0.982024 0.188758i
\(641\) −11.9777 + 32.9083i −0.473089 + 1.29980i 0.442169 + 0.896932i \(0.354209\pi\)
−0.915258 + 0.402869i \(0.868013\pi\)
\(642\) −12.3841 + 71.6215i −0.488760 + 2.82668i
\(643\) 7.57663 6.35754i 0.298793 0.250717i −0.481049 0.876694i \(-0.659744\pi\)
0.779842 + 0.625977i \(0.215300\pi\)
\(644\) −29.2822 + 24.9035i −1.15388 + 0.981335i
\(645\) −15.5280 + 24.6482i −0.611416 + 0.970524i
\(646\) −1.80628 36.1241i −0.0710672 1.42128i
\(647\) −19.5672 −0.769267 −0.384634 0.923069i \(-0.625672\pi\)
−0.384634 + 0.923069i \(0.625672\pi\)
\(648\) −1.32755 7.11429i −0.0521510 0.279476i
\(649\) −2.08233 2.48162i −0.0817385 0.0974121i
\(650\) 34.0433 9.61363i 1.33529 0.377078i
\(651\) −3.51380 + 9.65408i −0.137717 + 0.378373i
\(652\) −3.29117 + 19.4173i −0.128892 + 0.760442i
\(653\) 10.6278 + 6.13596i 0.415898 + 0.240119i 0.693321 0.720629i \(-0.256147\pi\)
−0.277423 + 0.960748i \(0.589480\pi\)
\(654\) 29.0803 0.0964334i 1.13713 0.00377084i
\(655\) 17.0550 + 15.4701i 0.666394 + 0.604468i
\(656\) −15.9737 + 19.5578i −0.623669 + 0.763605i
\(657\) 54.4437 31.4331i 2.12405 1.22632i
\(658\) 15.7575 + 27.0850i 0.614291 + 1.05588i
\(659\) 4.11927 + 3.45648i 0.160464 + 0.134645i 0.719484 0.694509i \(-0.244378\pi\)
−0.559020 + 0.829154i \(0.688823\pi\)
\(660\) 4.59481 11.4702i 0.178853 0.446478i
\(661\) 3.24416 + 8.91326i 0.126183 + 0.346686i 0.986658 0.162808i \(-0.0520550\pi\)
−0.860475 + 0.509493i \(0.829833\pi\)
\(662\) 8.08960 + 45.0052i 0.314411 + 1.74918i
\(663\) 13.9107 + 78.8915i 0.540247 + 3.06389i
\(664\) 24.7701 0.246428i 0.961268 0.00956328i
\(665\) −10.8441 29.0624i −0.420517 1.12699i
\(666\) 19.5488 34.1203i 0.757500 1.32213i
\(667\) 17.1860 3.03036i 0.665446 0.117336i
\(668\) 9.41710 26.4171i 0.364359 1.02211i
\(669\) 13.3148 4.84620i 0.514781 0.187365i
\(670\) 2.66586 + 19.0175i 0.102991 + 0.734710i
\(671\) 6.13991 7.31726i 0.237029 0.282480i
\(672\) −0.814610 49.1262i −0.0314243 1.89508i
\(673\) 9.22356 + 15.9757i 0.355542 + 0.615817i 0.987211 0.159422i \(-0.0509629\pi\)
−0.631668 + 0.775239i \(0.717630\pi\)
\(674\) −21.6749 18.0652i −0.834884 0.695846i
\(675\) 5.30705 + 19.0342i 0.204269 + 0.732627i
\(676\) −11.8890 + 20.9114i −0.457269 + 0.804285i
\(677\) 14.3471 24.8499i 0.551404 0.955060i −0.446770 0.894649i \(-0.647426\pi\)
0.998174 0.0604107i \(-0.0192410\pi\)
\(678\) 7.12381 + 19.3724i 0.273588 + 0.743992i
\(679\) −44.1393 16.0654i −1.69391 0.616533i
\(680\) 7.48736 36.3457i 0.287127 1.39379i
\(681\) 10.8047 9.06624i 0.414038 0.347419i
\(682\) −0.573942 + 1.59331i −0.0219774 + 0.0610111i
\(683\) 14.8522i 0.568305i −0.958779 0.284152i \(-0.908288\pi\)
0.958779 0.284152i \(-0.0917121\pi\)
\(684\) 30.9906 + 23.3086i 1.18495 + 0.891225i
\(685\) 7.17823 11.3943i 0.274266 0.435353i
\(686\) 16.3932 + 5.90517i 0.625897 + 0.225460i
\(687\) −24.9537 29.7386i −0.952042 1.13460i
\(688\) −3.06608 + 18.8472i −0.116893 + 0.718541i
\(689\) −39.4681 14.3652i −1.50361 0.547271i
\(690\) 10.8544 50.9768i 0.413218 1.94065i
\(691\) 6.56188 + 3.78851i 0.249626 + 0.144122i 0.619593 0.784923i \(-0.287298\pi\)
−0.369967 + 0.929045i \(0.620631\pi\)
\(692\) 4.91198 8.63962i 0.186725 0.328429i
\(693\) 14.1141 + 2.48869i 0.536149 + 0.0945375i
\(694\) 32.7171 + 27.2685i 1.24192 + 1.03510i
\(695\) 36.3132 + 1.40157i 1.37744 + 0.0531644i
\(696\) −10.9601 + 19.4272i −0.415441 + 0.736386i
\(697\) −28.3752 23.8096i −1.07479 0.901855i
\(698\) −20.1607 + 17.0311i −0.763095 + 0.644637i
\(699\) −11.7077 + 4.26126i −0.442827 + 0.161176i
\(700\) −3.30421 31.6535i −0.124887 1.19639i
\(701\) 5.52325 + 31.3239i 0.208610 + 1.18309i 0.891657 + 0.452712i \(0.149544\pi\)
−0.683046 + 0.730375i \(0.739345\pi\)
\(702\) −24.2607 13.8999i −0.915662 0.524617i
\(703\) −5.97771 26.5846i −0.225454 1.00266i
\(704\) −0.161135 8.09758i −0.00607302 0.305189i
\(705\) −39.3340 16.0602i −1.48141 0.604862i
\(706\) 20.3997 3.66681i 0.767753 0.138002i
\(707\) −14.2229 + 5.17673i −0.534909 + 0.194691i
\(708\) 17.1797 3.14687i 0.645654 0.118267i
\(709\) 10.9687 + 9.20381i 0.411937 + 0.345656i 0.825086 0.565007i \(-0.191127\pi\)
−0.413149 + 0.910663i \(0.635571\pi\)
\(710\) 0.166017 4.70624i 0.00623051 0.176622i
\(711\) −12.4889 21.6314i −0.468370 0.811241i
\(712\) 14.2016 + 2.35870i 0.532227 + 0.0883959i
\(713\) −1.24044 + 7.03489i −0.0464549 + 0.263459i
\(714\) 72.0706 0.238994i 2.69717 0.00894411i
\(715\) 5.28010 + 10.0190i 0.197464 + 0.374688i
\(716\) 3.86462 22.8006i 0.144428 0.852098i
\(717\) 17.2823 + 6.29024i 0.645419 + 0.234913i
\(718\) 16.3841 + 2.83298i 0.611451 + 0.105726i
\(719\) −13.9296 16.6007i −0.519487 0.619101i 0.440972 0.897521i \(-0.354634\pi\)
−0.960459 + 0.278420i \(0.910189\pi\)
\(720\) 24.7937 + 31.1146i 0.924008 + 1.15957i
\(721\) 48.8344i 1.81869i
\(722\) 26.7448 2.59174i 0.995337 0.0964547i
\(723\) −18.7420 −0.697022
\(724\) 19.0779 + 22.4324i 0.709026 + 0.833692i
\(725\) −5.97339 + 13.1557i −0.221846 + 0.488589i
\(726\) −37.9364 6.55957i −1.40795 0.243448i
\(727\) 10.9802 + 3.99646i 0.407232 + 0.148220i 0.537511 0.843257i \(-0.319365\pi\)
−0.130278 + 0.991477i \(0.541587\pi\)
\(728\) 34.7833 + 28.6018i 1.28915 + 1.06005i
\(729\) −21.8691 + 37.8784i −0.809966 + 1.40290i
\(730\) 23.6973 37.8936i 0.877075 1.40251i
\(731\) −27.5840 4.86380i −1.02023 0.179894i
\(732\) 17.9342 + 48.2751i 0.662865 + 1.78430i
\(733\) −40.8347 + 23.5759i −1.50826 + 0.870796i −0.508309 + 0.861175i \(0.669729\pi\)
−0.999954 + 0.00962065i \(0.996938\pi\)
\(734\) −20.1110 34.5680i −0.742310 1.27593i
\(735\) 18.1794 5.83315i 0.670556 0.215159i
\(736\) −6.48929 33.5408i −0.239199 1.23633i
\(737\) −5.77718 + 2.10272i −0.212805 + 0.0774548i
\(738\) 39.0861 7.02566i 1.43878 0.258618i
\(739\) 3.69363 0.651286i 0.135872 0.0239580i −0.105298 0.994441i \(-0.533580\pi\)
0.241171 + 0.970483i \(0.422469\pi\)
\(740\) 0.892918 27.9420i 0.0328243 1.02717i
\(741\) −58.0627 + 13.0557i −2.13299 + 0.479615i
\(742\) −18.7848 + 32.7869i −0.689613 + 1.20365i
\(743\) −7.67090 + 1.35259i −0.281418 + 0.0496216i −0.312576 0.949893i \(-0.601192\pi\)
0.0311575 + 0.999514i \(0.490081\pi\)
\(744\) −5.93827 6.93565i −0.217708 0.254273i
\(745\) 16.2027 + 3.50621i 0.593621 + 0.128457i
\(746\) −1.15657 + 0.977028i −0.0423449 + 0.0357715i
\(747\) −29.8424 25.0407i −1.09188 0.916192i
\(748\) 11.8801 0.0787921i 0.434379 0.00288093i
\(749\) −51.9049 + 29.9673i −1.89656 + 1.09498i
\(750\) 29.7355 + 31.2702i 1.08579 + 1.14182i
\(751\) −2.93202 + 16.6283i −0.106991 + 0.606775i 0.883416 + 0.468590i \(0.155238\pi\)
−0.990406 + 0.138185i \(0.955873\pi\)
\(752\) −27.8461 + 0.369383i −1.01544 + 0.0134700i
\(753\) 27.2079 47.1255i 0.991511 1.71735i
\(754\) −7.05598 19.1879i −0.256964 0.698783i
\(755\) 2.33232 + 3.00792i 0.0848817 + 0.109470i
\(756\) −16.0412 + 19.3768i −0.583414 + 0.704726i
\(757\) −3.27044 3.89756i −0.118866 0.141659i 0.703330 0.710864i \(-0.251696\pi\)
−0.822196 + 0.569204i \(0.807251\pi\)
\(758\) −46.4331 16.7261i −1.68653 0.607519i
\(759\) 16.6860 0.605664
\(760\) 27.2311 + 4.29730i 0.987776 + 0.155879i
\(761\) −42.1085 −1.52643 −0.763216 0.646143i \(-0.776381\pi\)
−0.763216 + 0.646143i \(0.776381\pi\)
\(762\) 29.1039 + 10.4838i 1.05432 + 0.379787i
\(763\) 15.4137 + 18.3693i 0.558012 + 0.665013i
\(764\) −20.8729 + 25.2131i −0.755155 + 0.912178i
\(765\) −46.1191 + 35.7603i −1.66744 + 1.29292i
\(766\) −11.8965 32.3512i −0.429838 1.16890i
\(767\) −8.00402 + 13.8634i −0.289009 + 0.500577i
\(768\) 38.3816 + 20.8222i 1.38498 + 0.751356i