Properties

Label 460.2.w.a.3.19
Level $460$
Weight $2$
Character 460.3
Analytic conductor $3.673$
Analytic rank $0$
Dimension $1360$
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] = [460,2,Mod(3,460)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(460, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([22, 33, 32]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("460.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 460 = 2^{2} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 460.w (of order \(44\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.67311849298\)
Analytic rank: \(0\)
Dimension: \(1360\)
Relative dimension: \(68\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 3.19
Character \(\chi\) \(=\) 460.3
Dual form 460.2.w.a.307.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.921863 - 1.07246i) q^{2} +(-1.09678 - 2.94057i) q^{3} +(-0.300338 + 1.97732i) q^{4} +(0.110052 + 2.23336i) q^{5} +(-2.14257 + 3.88705i) q^{6} +(1.66107 + 0.361343i) q^{7} +(2.39747 - 1.50072i) q^{8} +(-5.17679 + 4.48572i) q^{9} +O(q^{10})\) \(q+(-0.921863 - 1.07246i) q^{2} +(-1.09678 - 2.94057i) q^{3} +(-0.300338 + 1.97732i) q^{4} +(0.110052 + 2.23336i) q^{5} +(-2.14257 + 3.88705i) q^{6} +(1.66107 + 0.361343i) q^{7} +(2.39747 - 1.50072i) q^{8} +(-5.17679 + 4.48572i) q^{9} +(2.29373 - 2.17688i) q^{10} +(3.24535 + 0.466611i) q^{11} +(6.14386 - 1.28551i) q^{12} +(0.713567 + 3.28022i) q^{13} +(-1.14375 - 2.11454i) q^{14} +(6.44665 - 2.77311i) q^{15} +(-3.81959 - 1.18773i) q^{16} +(6.70189 - 3.65951i) q^{17} +(9.58304 + 1.41669i) q^{18} +(1.12748 - 0.331058i) q^{19} +(-4.44912 - 0.453155i) q^{20} +(-0.759265 - 5.28081i) q^{21} +(-2.49135 - 3.91066i) q^{22} +(-1.03279 + 4.68330i) q^{23} +(-7.04245 - 5.40397i) q^{24} +(-4.97578 + 0.491570i) q^{25} +(2.86009 - 3.78918i) q^{26} +(10.6047 + 5.79060i) q^{27} +(-1.21337 + 3.17594i) q^{28} +(-1.27325 + 4.33628i) q^{29} +(-8.91697 - 4.35734i) q^{30} +(0.149523 - 0.0682847i) q^{31} +(2.24735 + 5.19128i) q^{32} +(-2.18732 - 10.0550i) q^{33} +(-10.1029 - 3.81394i) q^{34} +(-0.624206 + 3.74953i) q^{35} +(-7.31491 - 11.5834i) q^{36} +(4.78312 + 0.342095i) q^{37} +(-1.39443 - 0.903986i) q^{38} +(8.86309 - 5.69596i) q^{39} +(3.61549 + 5.18925i) q^{40} +(0.875046 - 1.00986i) q^{41} +(-4.96351 + 5.68246i) q^{42} +(-2.86261 - 7.67495i) q^{43} +(-1.89734 + 6.27696i) q^{44} +(-10.5879 - 11.0680i) q^{45} +(5.97475 - 3.20974i) q^{46} +(-4.45677 - 4.45677i) q^{47} +(0.696636 + 12.5345i) q^{48} +(-3.73884 - 1.70747i) q^{49} +(5.11417 + 4.88316i) q^{50} +(-18.1115 - 15.6937i) q^{51} +(-6.70035 + 0.425777i) q^{52} +(5.56224 + 1.20999i) q^{53} +(-3.56589 - 16.7112i) q^{54} +(-0.684953 + 7.29938i) q^{55} +(4.52463 - 1.62649i) q^{56} +(-2.21009 - 2.95234i) q^{57} +(5.82424 - 2.63195i) q^{58} +(7.92467 + 5.09288i) q^{59} +(3.54715 + 13.5800i) q^{60} +(4.44593 + 9.73523i) q^{61} +(-0.211072 - 0.0974079i) q^{62} +(-10.2199 + 5.58049i) q^{63} +(3.49569 - 7.19584i) q^{64} +(-7.24737 + 1.95464i) q^{65} +(-8.76712 + 11.6151i) q^{66} +(7.40444 - 9.89117i) q^{67} +(5.22319 + 14.3509i) q^{68} +(14.9043 - 2.09954i) q^{69} +(4.59665 - 2.78712i) q^{70} +(9.14897 - 1.31542i) q^{71} +(-5.67939 + 18.5233i) q^{72} +(-6.38790 - 3.48806i) q^{73} +(-4.04250 - 5.44507i) q^{74} +(6.90281 + 14.0925i) q^{75} +(0.315982 + 2.32882i) q^{76} +(5.22215 + 1.94776i) q^{77} +(-14.2792 - 4.25441i) q^{78} +(-9.03134 - 5.80409i) q^{79} +(2.23227 - 8.66123i) q^{80} +(2.47218 - 17.1944i) q^{81} +(-1.88970 - 0.00750182i) q^{82} +(9.11457 + 0.651887i) q^{83} +(10.6699 + 0.0847168i) q^{84} +(8.91055 + 14.5650i) q^{85} +(-5.59214 + 10.1453i) q^{86} +(14.1476 - 1.01186i) q^{87} +(8.48087 - 3.75167i) q^{88} +(1.28875 + 0.588555i) q^{89} +(-2.10934 + 21.5583i) q^{90} +5.70651i q^{91} +(-8.95021 - 3.44873i) q^{92} +(-0.364789 - 0.364789i) q^{93} +(-0.671174 + 8.88823i) q^{94} +(0.863452 + 2.48163i) q^{95} +(12.8005 - 12.3022i) q^{96} +(0.303806 + 4.24777i) q^{97} +(1.61550 + 5.58381i) q^{98} +(-18.8936 + 12.1422i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1360 q - 18 q^{2} - 36 q^{5} - 44 q^{6} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 1360 q - 18 q^{2} - 36 q^{5} - 44 q^{6} - 18 q^{8} - 18 q^{10} - 6 q^{12} - 36 q^{13} - 44 q^{16} - 36 q^{17} - 38 q^{18} - 14 q^{20} - 88 q^{21} - 28 q^{22} - 36 q^{25} - 36 q^{26} - 34 q^{28} + 2 q^{30} + 2 q^{32} - 60 q^{33} - 36 q^{36} - 36 q^{37} - 10 q^{38} + 2 q^{40} - 56 q^{41} - 202 q^{42} - 120 q^{45} - 44 q^{46} - 50 q^{48} - 34 q^{50} - 250 q^{52} - 84 q^{53} - 84 q^{56} - 44 q^{57} - 58 q^{58} - 42 q^{60} - 136 q^{61} - 82 q^{62} - 68 q^{65} - 84 q^{66} - 4 q^{68} + 16 q^{70} - 104 q^{72} - 36 q^{73} + 4 q^{76} - 44 q^{77} - 50 q^{78} + 204 q^{80} + 80 q^{81} - 10 q^{82} - 252 q^{85} + 44 q^{86} - 50 q^{88} + 264 q^{90} - 22 q^{92} - 88 q^{93} + 52 q^{96} - 36 q^{97} + 30 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).

\(n\) \(231\) \(277\) \(281\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{8}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.921863 1.07246i −0.651855 0.758343i
\(3\) −1.09678 2.94057i −0.633224 1.69774i −0.713216 0.700944i \(-0.752762\pi\)
0.0799920 0.996796i \(-0.474511\pi\)
\(4\) −0.300338 + 1.97732i −0.150169 + 0.988660i
\(5\) 0.110052 + 2.23336i 0.0492166 + 0.998788i
\(6\) −2.14257 + 3.88705i −0.874699 + 1.58688i
\(7\) 1.66107 + 0.361343i 0.627825 + 0.136575i 0.515210 0.857064i \(-0.327714\pi\)
0.112615 + 0.993639i \(0.464077\pi\)
\(8\) 2.39747 1.50072i 0.847632 0.530584i
\(9\) −5.17679 + 4.48572i −1.72560 + 1.49524i
\(10\) 2.29373 2.17688i 0.725342 0.688389i
\(11\) 3.24535 + 0.466611i 0.978510 + 0.140689i 0.612969 0.790107i \(-0.289975\pi\)
0.365541 + 0.930795i \(0.380884\pi\)
\(12\) 6.14386 1.28551i 1.77358 0.371096i
\(13\) 0.713567 + 3.28022i 0.197908 + 0.909768i 0.963764 + 0.266756i \(0.0859518\pi\)
−0.765856 + 0.643012i \(0.777685\pi\)
\(14\) −1.14375 2.11454i −0.305680 0.565134i
\(15\) 6.44665 2.77311i 1.66452 0.716014i
\(16\) −3.81959 1.18773i −0.954898 0.296932i
\(17\) 6.70189 3.65951i 1.62545 0.887561i 0.631787 0.775142i \(-0.282322\pi\)
0.993661 0.112419i \(-0.0358599\pi\)
\(18\) 9.58304 + 1.41669i 2.25874 + 0.333916i
\(19\) 1.12748 0.331058i 0.258662 0.0759499i −0.149831 0.988712i \(-0.547873\pi\)
0.408492 + 0.912762i \(0.366055\pi\)
\(20\) −4.44912 0.453155i −0.994853 0.101329i
\(21\) −0.759265 5.28081i −0.165685 1.15237i
\(22\) −2.49135 3.91066i −0.531157 0.833755i
\(23\) −1.03279 + 4.68330i −0.215352 + 0.976537i
\(24\) −7.04245 5.40397i −1.43753 1.10308i
\(25\) −4.97578 + 0.491570i −0.995155 + 0.0983140i
\(26\) 2.86009 3.78918i 0.560909 0.743120i
\(27\) 10.6047 + 5.79060i 2.04087 + 1.11440i
\(28\) −1.21337 + 3.17594i −0.229306 + 0.600196i
\(29\) −1.27325 + 4.33628i −0.236436 + 0.805226i 0.752718 + 0.658343i \(0.228742\pi\)
−0.989154 + 0.146883i \(0.953076\pi\)
\(30\) −8.91697 4.35734i −1.62801 0.795538i
\(31\) 0.149523 0.0682847i 0.0268551 0.0122643i −0.401942 0.915665i \(-0.631665\pi\)
0.428797 + 0.903401i \(0.358937\pi\)
\(32\) 2.24735 + 5.19128i 0.397279 + 0.917698i
\(33\) −2.18732 10.0550i −0.380764 1.75034i
\(34\) −10.1029 3.81394i −1.73263 0.654085i
\(35\) −0.624206 + 3.74953i −0.105510 + 0.633786i
\(36\) −7.31491 11.5834i −1.21915 1.93057i
\(37\) 4.78312 + 0.342095i 0.786340 + 0.0562401i 0.458733 0.888574i \(-0.348303\pi\)
0.327607 + 0.944814i \(0.393758\pi\)
\(38\) −1.39443 0.903986i −0.226206 0.146646i
\(39\) 8.86309 5.69596i 1.41923 0.912083i
\(40\) 3.61549 + 5.18925i 0.571658 + 0.820492i
\(41\) 0.875046 1.00986i 0.136659 0.157713i −0.683295 0.730143i \(-0.739454\pi\)
0.819954 + 0.572430i \(0.193999\pi\)
\(42\) −4.96351 + 5.68246i −0.765886 + 0.876822i
\(43\) −2.86261 7.67495i −0.436543 1.17042i −0.949985 0.312294i \(-0.898903\pi\)
0.513442 0.858124i \(-0.328370\pi\)
\(44\) −1.89734 + 6.27696i −0.286035 + 0.946287i
\(45\) −10.5879 11.0680i −1.57835 1.64992i
\(46\) 5.97475 3.20974i 0.880928 0.473250i
\(47\) −4.45677 4.45677i −0.650086 0.650086i 0.302927 0.953014i \(-0.402036\pi\)
−0.953014 + 0.302927i \(0.902036\pi\)
\(48\) 0.696636 + 12.5345i 0.100551 + 1.80919i
\(49\) −3.73884 1.70747i −0.534120 0.243925i
\(50\) 5.11417 + 4.88316i 0.723253 + 0.690583i
\(51\) −18.1115 15.6937i −2.53612 2.19756i
\(52\) −6.70035 + 0.425777i −0.929171 + 0.0590447i
\(53\) 5.56224 + 1.20999i 0.764033 + 0.166205i 0.577664 0.816275i \(-0.303964\pi\)
0.186369 + 0.982480i \(0.440328\pi\)
\(54\) −3.56589 16.7112i −0.485256 2.27411i
\(55\) −0.684953 + 7.29938i −0.0923591 + 0.984249i
\(56\) 4.52463 1.62649i 0.604629 0.217348i
\(57\) −2.21009 2.95234i −0.292734 0.391047i
\(58\) 5.82424 2.63195i 0.764760 0.345592i
\(59\) 7.92467 + 5.09288i 1.03170 + 0.663036i 0.942922 0.333015i \(-0.108066\pi\)
0.0887828 + 0.996051i \(0.471702\pi\)
\(60\) 3.54715 + 13.5800i 0.457935 + 1.75317i
\(61\) 4.44593 + 9.73523i 0.569243 + 1.24647i 0.947199 + 0.320645i \(0.103900\pi\)
−0.377956 + 0.925824i \(0.623373\pi\)
\(62\) −0.211072 0.0974079i −0.0268062 0.0123708i
\(63\) −10.2199 + 5.58049i −1.28759 + 0.703075i
\(64\) 3.49569 7.19584i 0.436962 0.899480i
\(65\) −7.24737 + 1.95464i −0.898925 + 0.242444i
\(66\) −8.76712 + 11.6151i −1.07916 + 1.42972i
\(67\) 7.40444 9.89117i 0.904596 1.20840i −0.0728779 0.997341i \(-0.523218\pi\)
0.977474 0.211058i \(-0.0676907\pi\)
\(68\) 5.22319 + 14.3509i 0.633405 + 1.74030i
\(69\) 14.9043 2.09954i 1.79427 0.252756i
\(70\) 4.59665 2.78712i 0.549405 0.333124i
\(71\) 9.14897 1.31542i 1.08578 0.156112i 0.423893 0.905713i \(-0.360663\pi\)
0.661891 + 0.749600i \(0.269754\pi\)
\(72\) −5.67939 + 18.5233i −0.669323 + 2.18299i
\(73\) −6.38790 3.48806i −0.747647 0.408246i 0.0597817 0.998211i \(-0.480960\pi\)
−0.807428 + 0.589965i \(0.799141\pi\)
\(74\) −4.04250 5.44507i −0.469931 0.632976i
\(75\) 6.90281 + 14.0925i 0.797068 + 1.62726i
\(76\) 0.315982 + 2.32882i 0.0362457 + 0.267134i
\(77\) 5.22215 + 1.94776i 0.595119 + 0.221968i
\(78\) −14.2792 4.25441i −1.61680 0.481717i
\(79\) −9.03134 5.80409i −1.01611 0.653011i −0.0771389 0.997020i \(-0.524578\pi\)
−0.938966 + 0.344009i \(0.888215\pi\)
\(80\) 2.23227 8.66123i 0.249576 0.968355i
\(81\) 2.47218 17.1944i 0.274687 1.91049i
\(82\) −1.88970 0.00750182i −0.208683 0.000828437i
\(83\) 9.11457 + 0.651887i 1.00045 + 0.0715539i 0.561947 0.827174i \(-0.310053\pi\)
0.438508 + 0.898727i \(0.355507\pi\)
\(84\) 10.6699 + 0.0847168i 1.16418 + 0.00924337i
\(85\) 8.91055 + 14.5650i 0.966485 + 1.57979i
\(86\) −5.59214 + 10.1453i −0.603016 + 1.09399i
\(87\) 14.1476 1.01186i 1.51678 0.108482i
\(88\) 8.48087 3.75167i 0.904064 0.399930i
\(89\) 1.28875 + 0.588555i 0.136608 + 0.0623867i 0.482546 0.875871i \(-0.339712\pi\)
−0.345938 + 0.938257i \(0.612439\pi\)
\(90\) −2.10934 + 21.5583i −0.222343 + 2.27244i
\(91\) 5.70651i 0.598205i
\(92\) −8.95021 3.44873i −0.933124 0.359555i
\(93\) −0.364789 0.364789i −0.0378269 0.0378269i
\(94\) −0.671174 + 8.88823i −0.0692263 + 0.916751i
\(95\) 0.863452 + 2.48163i 0.0885883 + 0.254610i
\(96\) 12.8005 12.3022i 1.30645 1.25558i
\(97\) 0.303806 + 4.24777i 0.0308469 + 0.431295i 0.989285 + 0.145996i \(0.0466386\pi\)
−0.958438 + 0.285300i \(0.907907\pi\)
\(98\) 1.61550 + 5.58381i 0.163191 + 0.564050i
\(99\) −18.8936 + 12.1422i −1.89888 + 1.22033i
\(100\) 0.522425 9.98634i 0.0522425 0.998634i
\(101\) 7.07127 + 8.16068i 0.703618 + 0.812018i 0.989237 0.146325i \(-0.0467446\pi\)
−0.285619 + 0.958343i \(0.592199\pi\)
\(102\) −0.134543 + 33.8913i −0.0133218 + 3.35574i
\(103\) −0.241686 0.322855i −0.0238140 0.0318118i 0.788476 0.615065i \(-0.210870\pi\)
−0.812290 + 0.583253i \(0.801779\pi\)
\(104\) 6.63343 + 6.79335i 0.650462 + 0.666142i
\(105\) 11.7104 2.27687i 1.14282 0.222200i
\(106\) −3.82996 7.08072i −0.371998 0.687741i
\(107\) −2.52468 + 6.76892i −0.244070 + 0.654376i −1.00000 0.000275825i \(-0.999912\pi\)
0.755930 + 0.654652i \(0.227185\pi\)
\(108\) −14.6349 + 19.2297i −1.40824 + 1.85038i
\(109\) −1.10009 + 3.74657i −0.105370 + 0.358856i −0.995252 0.0973346i \(-0.968968\pi\)
0.889882 + 0.456191i \(0.150786\pi\)
\(110\) 8.45973 5.99445i 0.806603 0.571548i
\(111\) −4.24006 14.4403i −0.402448 1.37061i
\(112\) −5.91543 3.35309i −0.558956 0.316837i
\(113\) 3.77950 5.04882i 0.355546 0.474954i −0.586734 0.809780i \(-0.699587\pi\)
0.942280 + 0.334826i \(0.108678\pi\)
\(114\) −1.12886 + 5.09189i −0.105728 + 0.476899i
\(115\) −10.5732 1.79118i −0.985952 0.167029i
\(116\) −8.19181 3.81996i −0.760590 0.354675i
\(117\) −18.4081 13.7801i −1.70183 1.27397i
\(118\) −1.84356 13.1938i −0.169713 1.21459i
\(119\) 12.4546 3.65701i 1.14172 0.335238i
\(120\) 11.2940 16.3230i 1.03099 1.49008i
\(121\) −0.239841 0.0704237i −0.0218037 0.00640215i
\(122\) 6.34210 13.7426i 0.574187 1.24420i
\(123\) −3.92928 1.46555i −0.354292 0.132144i
\(124\) 0.0901134 + 0.316163i 0.00809242 + 0.0283923i
\(125\) −1.64544 11.0586i −0.147173 0.989111i
\(126\) 15.4062 + 5.81598i 1.37249 + 0.518129i
\(127\) −7.08343 + 5.30259i −0.628552 + 0.470528i −0.865443 0.501008i \(-0.832963\pi\)
0.236890 + 0.971536i \(0.423872\pi\)
\(128\) −10.9398 + 2.88459i −0.966951 + 0.254964i
\(129\) −19.4291 + 16.8354i −1.71064 + 1.48227i
\(130\) 8.77736 + 5.97059i 0.769825 + 0.523656i
\(131\) 1.53115 + 2.38252i 0.133778 + 0.208162i 0.901679 0.432406i \(-0.142335\pi\)
−0.767901 + 0.640568i \(0.778699\pi\)
\(132\) 20.5388 1.30515i 1.78767 0.113599i
\(133\) 1.99245 0.142503i 0.172767 0.0123565i
\(134\) −17.4337 + 1.17734i −1.50605 + 0.101707i
\(135\) −11.7654 + 24.3213i −1.01261 + 2.09325i
\(136\) 10.5757 18.8312i 0.906856 1.61476i
\(137\) 8.08802 8.08802i 0.691006 0.691006i −0.271447 0.962453i \(-0.587502\pi\)
0.962453 + 0.271447i \(0.0875022\pi\)
\(138\) −15.9914 14.0488i −1.36128 1.19591i
\(139\) −18.4087 −1.56140 −0.780701 0.624905i \(-0.785138\pi\)
−0.780701 + 0.624905i \(0.785138\pi\)
\(140\) −7.22655 2.36038i −0.610755 0.199489i
\(141\) −8.21736 + 17.9935i −0.692027 + 1.51533i
\(142\) −9.84483 8.59926i −0.826160 0.721634i
\(143\) 0.785192 + 10.9784i 0.0656610 + 0.918061i
\(144\) 25.1011 10.9850i 2.09176 0.915415i
\(145\) −9.82458 2.36640i −0.815887 0.196519i
\(146\) 2.14797 + 10.0663i 0.177767 + 0.833090i
\(147\) −0.920269 + 12.8670i −0.0759025 + 1.06126i
\(148\) −2.11299 + 9.35502i −0.173686 + 0.768978i
\(149\) 12.2810 + 1.76575i 1.00610 + 0.144656i 0.625616 0.780131i \(-0.284848\pi\)
0.380486 + 0.924787i \(0.375757\pi\)
\(150\) 8.75017 20.3943i 0.714449 1.66519i
\(151\) 3.08447 4.79952i 0.251010 0.390580i −0.692767 0.721161i \(-0.743609\pi\)
0.943777 + 0.330582i \(0.107245\pi\)
\(152\) 2.20627 2.48573i 0.178952 0.201619i
\(153\) −18.2788 + 49.0073i −1.47775 + 3.96201i
\(154\) −2.72521 7.39611i −0.219604 0.595995i
\(155\) 0.168959 + 0.326423i 0.0135712 + 0.0262189i
\(156\) 8.60081 + 19.2359i 0.688616 + 1.54010i
\(157\) 1.38990 2.54541i 0.110926 0.203146i −0.816319 0.577602i \(-0.803989\pi\)
0.927245 + 0.374456i \(0.122170\pi\)
\(158\) 2.10101 + 15.0363i 0.167147 + 1.19623i
\(159\) −2.54247 17.6833i −0.201631 1.40237i
\(160\) −11.3467 + 5.59045i −0.897033 + 0.441964i
\(161\) −3.40782 + 7.40610i −0.268574 + 0.583683i
\(162\) −20.7193 + 13.1996i −1.62786 + 1.03705i
\(163\) −18.1781 13.6080i −1.42382 1.06586i −0.985991 0.166799i \(-0.946657\pi\)
−0.437828 0.899059i \(-0.644252\pi\)
\(164\) 1.73400 + 2.03354i 0.135403 + 0.158793i
\(165\) 22.2156 5.99164i 1.72948 0.466448i
\(166\) −7.70326 10.3760i −0.597889 0.805331i
\(167\) −5.71822 10.4721i −0.442489 0.810358i 0.557312 0.830303i \(-0.311833\pi\)
−0.999801 + 0.0199449i \(0.993651\pi\)
\(168\) −9.74531 11.5211i −0.751867 0.888873i
\(169\) 1.57458 0.719085i 0.121121 0.0553143i
\(170\) 7.40605 22.9831i 0.568018 1.76273i
\(171\) −4.35170 + 6.77137i −0.332783 + 0.517820i
\(172\) 16.0356 3.35521i 1.22270 0.255833i
\(173\) 5.60219 4.19375i 0.425927 0.318845i −0.364720 0.931117i \(-0.618835\pi\)
0.790647 + 0.612272i \(0.209744\pi\)
\(174\) −14.1273 14.2399i −1.07099 1.07953i
\(175\) −8.44274 0.981433i −0.638211 0.0741894i
\(176\) −11.8417 5.63687i −0.892603 0.424895i
\(177\) 6.28438 28.8888i 0.472363 2.17142i
\(178\) −0.556854 1.92470i −0.0417380 0.144263i
\(179\) −7.81436 + 9.01826i −0.584073 + 0.674056i −0.968475 0.249109i \(-0.919862\pi\)
0.384402 + 0.923166i \(0.374408\pi\)
\(180\) 25.0649 17.6116i 1.86823 1.31269i
\(181\) −2.27396 + 4.97928i −0.169022 + 0.370107i −0.975121 0.221674i \(-0.928848\pi\)
0.806099 + 0.591781i \(0.201575\pi\)
\(182\) 6.12000 5.26062i 0.453644 0.389943i
\(183\) 23.7510 23.7510i 1.75572 1.75572i
\(184\) 4.55224 + 12.7780i 0.335595 + 0.942006i
\(185\) −0.237631 + 10.7201i −0.0174710 + 0.788155i
\(186\) −0.0549360 + 0.727507i −0.00402810 + 0.0533434i
\(187\) 23.4576 8.74922i 1.71539 0.639806i
\(188\) 10.1510 7.47392i 0.740337 0.545092i
\(189\) 15.5227 + 13.4505i 1.12911 + 0.978382i
\(190\) 1.86547 3.21374i 0.135335 0.233149i
\(191\) −3.99964 6.22356i −0.289404 0.450321i 0.665860 0.746077i \(-0.268065\pi\)
−0.955264 + 0.295756i \(0.904429\pi\)
\(192\) −24.9939 2.38710i −1.80378 0.172274i
\(193\) −0.403321 + 5.63916i −0.0290317 + 0.405916i 0.962069 + 0.272805i \(0.0879513\pi\)
−0.991101 + 0.133111i \(0.957503\pi\)
\(194\) 4.27549 4.24168i 0.306962 0.304535i
\(195\) 13.6965 + 19.1676i 0.980828 + 1.37262i
\(196\) 4.49914 6.88007i 0.321367 0.491434i
\(197\) −20.2717 + 4.40985i −1.44430 + 0.314189i −0.865348 0.501171i \(-0.832903\pi\)
−0.578954 + 0.815360i \(0.696539\pi\)
\(198\) 30.4393 + 9.06920i 2.16323 + 0.644520i
\(199\) 4.39747 + 9.62911i 0.311728 + 0.682590i 0.999042 0.0437714i \(-0.0139373\pi\)
−0.687313 + 0.726361i \(0.741210\pi\)
\(200\) −11.1916 + 8.64576i −0.791362 + 0.611347i
\(201\) −37.2067 10.9249i −2.62436 0.770581i
\(202\) 2.23326 15.1067i 0.157131 1.06290i
\(203\) −3.68183 + 6.74278i −0.258414 + 0.473250i
\(204\) 36.4711 31.0989i 2.55349 2.17736i
\(205\) 2.35167 + 1.84315i 0.164248 + 0.128731i
\(206\) −0.123447 + 0.556826i −0.00860098 + 0.0387959i
\(207\) −15.6614 28.8773i −1.08855 2.00711i
\(208\) 1.17047 13.3766i 0.0811577 0.927502i
\(209\) 3.81354 0.548305i 0.263788 0.0379270i
\(210\) −13.2372 10.4599i −0.913454 0.721804i
\(211\) 5.17416 + 17.6216i 0.356204 + 1.21312i 0.921548 + 0.388264i \(0.126925\pi\)
−0.565345 + 0.824855i \(0.691257\pi\)
\(212\) −4.06310 + 10.6349i −0.279055 + 0.730410i
\(213\) −13.9025 25.4605i −0.952582 1.74452i
\(214\) 9.58680 3.53240i 0.655340 0.241470i
\(215\) 16.8259 7.23787i 1.14751 0.493618i
\(216\) 34.1145 2.03188i 2.32120 0.138252i
\(217\) 0.273042 0.0593966i 0.0185353 0.00403210i
\(218\) 5.03217 2.27402i 0.340822 0.154016i
\(219\) −3.25078 + 22.6097i −0.219667 + 1.52782i
\(220\) −14.2275 3.54666i −0.959218 0.239116i
\(221\) 16.7862 + 19.3723i 1.12916 + 1.30313i
\(222\) −11.5779 + 17.8593i −0.777057 + 1.19864i
\(223\) −1.68225 + 7.73316i −0.112651 + 0.517851i 0.885892 + 0.463892i \(0.153547\pi\)
−0.998543 + 0.0539584i \(0.982816\pi\)
\(224\) 1.85717 + 9.43515i 0.124087 + 0.630412i
\(225\) 23.5535 24.8647i 1.57024 1.65765i
\(226\) −8.89884 + 0.600960i −0.591942 + 0.0399753i
\(227\) −10.4606 + 3.90160i −0.694294 + 0.258958i −0.671740 0.740787i \(-0.734453\pi\)
−0.0225545 + 0.999746i \(0.507180\pi\)
\(228\) 6.50150 3.48336i 0.430572 0.230691i
\(229\) 18.7187i 1.23696i 0.785799 + 0.618482i \(0.212252\pi\)
−0.785799 + 0.618482i \(0.787748\pi\)
\(230\) 7.82603 + 12.9905i 0.516033 + 0.856569i
\(231\) 17.4924i 1.15091i
\(232\) 3.45496 + 12.3069i 0.226829 + 0.807985i
\(233\) 12.4271 4.63509i 0.814130 0.303655i 0.0923051 0.995731i \(-0.470576\pi\)
0.721825 + 0.692076i \(0.243304\pi\)
\(234\) 2.19111 + 32.4453i 0.143237 + 2.12102i
\(235\) 9.46308 10.4440i 0.617303 0.681293i
\(236\) −12.4503 + 14.1400i −0.810448 + 0.920438i
\(237\) −7.16198 + 32.9231i −0.465221 + 2.13858i
\(238\) −15.4035 9.98584i −0.998459 0.647286i
\(239\) −0.262895 0.303397i −0.0170053 0.0196251i 0.747183 0.664618i \(-0.231406\pi\)
−0.764189 + 0.644993i \(0.776860\pi\)
\(240\) −27.9173 + 2.93528i −1.80205 + 0.189471i
\(241\) 2.31799 16.1220i 0.149315 1.03851i −0.768030 0.640414i \(-0.778763\pi\)
0.917345 0.398093i \(-0.130328\pi\)
\(242\) 0.145574 + 0.322141i 0.00935785 + 0.0207080i
\(243\) −17.8532 + 3.88372i −1.14528 + 0.249141i
\(244\) −20.5850 + 5.86717i −1.31782 + 0.375607i
\(245\) 3.40193 8.53808i 0.217341 0.545478i
\(246\) 2.05052 + 5.56503i 0.130736 + 0.354813i
\(247\) 1.89047 + 3.46215i 0.120288 + 0.220291i
\(248\) 0.256000 0.388102i 0.0162560 0.0246445i
\(249\) −8.07973 27.5170i −0.512032 1.74382i
\(250\) −10.3430 + 11.9592i −0.654150 + 0.756365i
\(251\) 2.74887 0.395228i 0.173507 0.0249466i −0.0550136 0.998486i \(-0.517520\pi\)
0.228521 + 0.973539i \(0.426611\pi\)
\(252\) −7.96498 21.8840i −0.501747 1.37857i
\(253\) −5.53705 + 14.7171i −0.348111 + 0.925254i
\(254\) 12.2168 + 2.70843i 0.766547 + 0.169942i
\(255\) 33.0565 42.1766i 2.07008 2.64120i
\(256\) 13.1786 + 9.07329i 0.823662 + 0.567081i
\(257\) −13.5966 + 24.9003i −0.848132 + 1.55324i −0.0151856 + 0.999885i \(0.504834\pi\)
−0.832947 + 0.553353i \(0.813348\pi\)
\(258\) 35.9662 + 5.31698i 2.23916 + 0.331021i
\(259\) 7.82148 + 2.29659i 0.486003 + 0.142703i
\(260\) −1.68830 14.9174i −0.104704 0.925139i
\(261\) −12.8600 28.1594i −0.796013 1.74302i
\(262\) 1.14364 3.83846i 0.0706546 0.237141i
\(263\) −25.2550 + 5.49389i −1.55729 + 0.338768i −0.907070 0.420979i \(-0.861687\pi\)
−0.650219 + 0.759747i \(0.725323\pi\)
\(264\) −20.3337 20.8239i −1.25145 1.28162i
\(265\) −2.09021 + 12.5556i −0.128401 + 0.771287i
\(266\) −1.98959 2.00545i −0.121990 0.122962i
\(267\) 0.317211 4.43519i 0.0194130 0.271429i
\(268\) 17.3342 + 17.6116i 1.05885 + 1.07580i
\(269\) −13.2025 20.5435i −0.804972 1.25256i −0.964162 0.265313i \(-0.914525\pi\)
0.159190 0.987248i \(-0.449112\pi\)
\(270\) 36.9298 9.80301i 2.24747 0.596592i
\(271\) −11.4097 9.88652i −0.693087 0.600564i 0.235413 0.971895i \(-0.424356\pi\)
−0.928500 + 0.371332i \(0.878901\pi\)
\(272\) −29.9450 + 6.01780i −1.81568 + 0.364883i
\(273\) 16.7804 6.25876i 1.01560 0.378798i
\(274\) −16.1301 1.21803i −0.974456 0.0735838i
\(275\) −16.3775 0.726436i −0.987602 0.0438058i
\(276\) −0.324867 + 30.1012i −0.0195547 + 1.81188i
\(277\) 2.52566 2.52566i 0.151752 0.151752i −0.627148 0.778900i \(-0.715778\pi\)
0.778900 + 0.627148i \(0.215778\pi\)
\(278\) 16.9703 + 19.7425i 1.01781 + 1.18408i
\(279\) −0.467742 + 1.02421i −0.0280030 + 0.0613180i
\(280\) 4.13047 + 9.92613i 0.246843 + 0.593200i
\(281\) −5.58962 + 6.45077i −0.333449 + 0.384820i −0.897570 0.440871i \(-0.854670\pi\)
0.564121 + 0.825692i \(0.309215\pi\)
\(282\) 26.8726 7.77476i 1.60024 0.462980i
\(283\) 1.20051 5.51867i 0.0713632 0.328051i −0.927600 0.373575i \(-0.878132\pi\)
0.998963 + 0.0455235i \(0.0144956\pi\)
\(284\) −0.146772 + 18.4855i −0.00870929 + 1.09691i
\(285\) 6.35041 5.26084i 0.376166 0.311625i
\(286\) 11.0501 10.9627i 0.653404 0.648237i
\(287\) 1.81842 1.36125i 0.107338 0.0803520i
\(288\) −34.9207 16.7932i −2.05772 0.989550i
\(289\) 22.3324 34.7500i 1.31367 2.04412i
\(290\) 6.51905 + 12.7180i 0.382812 + 0.746824i
\(291\) 12.1577 5.55222i 0.712694 0.325477i
\(292\) 8.81553 11.5833i 0.515890 0.677863i
\(293\) −1.45347 2.66184i −0.0849129 0.155506i 0.831772 0.555118i \(-0.187327\pi\)
−0.916685 + 0.399611i \(0.869145\pi\)
\(294\) 14.6477 10.8747i 0.854274 0.634225i
\(295\) −10.5021 + 18.2591i −0.611456 + 1.06309i
\(296\) 11.9808 6.35795i 0.696367 0.369548i
\(297\) 31.7140 + 23.7408i 1.84023 + 1.37758i
\(298\) −9.42773 14.7987i −0.546134 0.857265i
\(299\) −16.0992 0.0459218i −0.931042 0.00265573i
\(300\) −29.9385 + 9.41656i −1.72850 + 0.543665i
\(301\) −1.98170 13.7830i −0.114223 0.794439i
\(302\) −7.99075 + 1.11654i −0.459816 + 0.0642494i
\(303\) 16.2415 29.7440i 0.933048 1.70875i
\(304\) −4.69972 0.0746345i −0.269548 0.00428058i
\(305\) −21.2530 + 11.0007i −1.21694 + 0.629900i
\(306\) 69.4089 25.5748i 3.96784 1.46201i
\(307\) −10.1906 + 27.3222i −0.581610 + 1.55936i 0.228787 + 0.973477i \(0.426524\pi\)
−0.810397 + 0.585881i \(0.800749\pi\)
\(308\) −5.41976 + 9.74087i −0.308819 + 0.555038i
\(309\) −0.684302 + 1.06479i −0.0389286 + 0.0605740i
\(310\) 0.194318 0.482119i 0.0110365 0.0273825i
\(311\) −20.8672 3.00025i −1.18327 0.170128i −0.477540 0.878610i \(-0.658471\pi\)
−0.705729 + 0.708482i \(0.749380\pi\)
\(312\) 12.7009 26.9569i 0.719048 1.52613i
\(313\) 1.44697 20.2313i 0.0817876 1.14354i −0.776413 0.630225i \(-0.782963\pi\)
0.858200 0.513315i \(-0.171583\pi\)
\(314\) −4.01115 + 0.855909i −0.226362 + 0.0483017i
\(315\) −13.5879 22.2105i −0.765594 1.25142i
\(316\) 14.1890 16.1147i 0.798194 0.906521i
\(317\) −0.526551 7.36214i −0.0295740 0.413499i −0.990577 0.136960i \(-0.956267\pi\)
0.961003 0.276539i \(-0.0891876\pi\)
\(318\) −16.6208 + 19.0282i −0.932046 + 1.06705i
\(319\) −6.15549 + 13.4786i −0.344641 + 0.754659i
\(320\) 16.4556 + 7.01522i 0.919896 + 0.392163i
\(321\) 22.6735 1.26551
\(322\) 11.0843 3.17266i 0.617703 0.176806i
\(323\) 6.34474 6.34474i 0.353031 0.353031i
\(324\) 33.2563 + 10.0524i 1.84757 + 0.558468i
\(325\) −5.16301 15.9709i −0.286392 0.885904i
\(326\) 2.16373 + 32.0400i 0.119838 + 1.77453i
\(327\) 12.2236 0.874249i 0.675967 0.0483461i
\(328\) 0.582383 3.73429i 0.0321567 0.206192i
\(329\) −5.79257 9.01342i −0.319355 0.496926i
\(330\) −26.9055 18.3019i −1.48110 1.00748i
\(331\) 2.38912 2.07019i 0.131318 0.113788i −0.586726 0.809786i \(-0.699583\pi\)
0.718044 + 0.695998i \(0.245038\pi\)
\(332\) −4.02644 + 17.8266i −0.220980 + 0.978364i
\(333\) −26.2958 + 19.6848i −1.44100 + 1.07872i
\(334\) −5.95953 + 15.7864i −0.326091 + 0.863795i
\(335\) 22.9054 + 15.4482i 1.25146 + 0.844026i
\(336\) −3.37209 + 21.0723i −0.183962 + 1.14959i
\(337\) 10.6565 + 3.97468i 0.580498 + 0.216515i 0.622522 0.782602i \(-0.286108\pi\)
−0.0420242 + 0.999117i \(0.513381\pi\)
\(338\) −2.22273 1.02577i −0.120901 0.0557946i
\(339\) −18.9917 5.57647i −1.03149 0.302872i
\(340\) −31.4758 + 13.2446i −1.70702 + 0.718289i
\(341\) 0.517116 0.151839i 0.0280034 0.00822254i
\(342\) 11.2737 1.57526i 0.609611 0.0851802i
\(343\) −15.1195 11.3183i −0.816375 0.611130i
\(344\) −18.3809 14.1045i −0.991033 0.760462i
\(345\) 6.32928 + 33.0557i 0.340757 + 1.77966i
\(346\) −9.66207 2.14206i −0.519436 0.115158i
\(347\) 18.8693 25.2064i 1.01296 1.35315i 0.0785638 0.996909i \(-0.474967\pi\)
0.934393 0.356243i \(-0.115943\pi\)
\(348\) −2.24830 + 28.2782i −0.120522 + 1.51587i
\(349\) −9.31233 31.7149i −0.498478 1.69766i −0.696581 0.717478i \(-0.745296\pi\)
0.198104 0.980181i \(-0.436522\pi\)
\(350\) 6.73050 + 9.95924i 0.359760 + 0.532344i
\(351\) −11.4273 + 38.9177i −0.609942 + 2.07727i
\(352\) 4.87113 + 17.8962i 0.259632 + 0.953869i
\(353\) 2.39978 6.43407i 0.127728 0.342451i −0.857308 0.514805i \(-0.827864\pi\)
0.985035 + 0.172354i \(0.0551372\pi\)
\(354\) −36.7754 + 19.8918i −1.95459 + 1.05724i
\(355\) 3.94467 + 20.2882i 0.209361 + 1.07678i
\(356\) −1.55082 + 2.37152i −0.0821935 + 0.125690i
\(357\) −24.4137 32.6128i −1.29211 1.72605i
\(358\) 16.8755 + 0.0669930i 0.891897 + 0.00354069i
\(359\) −2.50984 2.89651i −0.132464 0.152872i 0.685642 0.727939i \(-0.259521\pi\)
−0.818106 + 0.575067i \(0.804976\pi\)
\(360\) −41.9941 10.6456i −2.21328 0.561073i
\(361\) −14.8222 + 9.52565i −0.780116 + 0.501350i
\(362\) 7.43636 2.15148i 0.390846 0.113079i
\(363\) 0.0559661 + 0.782509i 0.00293746 + 0.0410710i
\(364\) −11.2836 1.71388i −0.591421 0.0898319i
\(365\) 7.08708 14.6503i 0.370955 0.766833i
\(366\) −47.3671 3.57681i −2.47592 0.186963i
\(367\) 8.44024 + 8.44024i 0.440577 + 0.440577i 0.892206 0.451629i \(-0.149157\pi\)
−0.451629 + 0.892206i \(0.649157\pi\)
\(368\) 9.50734 16.6616i 0.495604 0.868548i
\(369\) 9.15302i 0.476487i
\(370\) 11.7159 9.62758i 0.609081 0.500514i
\(371\) 8.80205 + 4.01976i 0.456979 + 0.208696i
\(372\) 0.830865 0.611745i 0.0430783 0.0317175i
\(373\) 16.0036 1.14460i 0.828634 0.0592651i 0.349423 0.936965i \(-0.386377\pi\)
0.479211 + 0.877700i \(0.340923\pi\)
\(374\) −31.0078 17.0917i −1.60338 0.883791i
\(375\) −30.7139 + 16.9674i −1.58606 + 0.876190i
\(376\) −17.3733 3.99660i −0.895959 0.206109i
\(377\) −15.1325 1.08230i −0.779362 0.0557411i
\(378\) 0.115312 29.0470i 0.00593102 1.49402i
\(379\) −4.01119 + 27.8984i −0.206041 + 1.43305i 0.579872 + 0.814708i \(0.303103\pi\)
−0.785912 + 0.618338i \(0.787806\pi\)
\(380\) −5.16631 + 0.961993i −0.265026 + 0.0493492i
\(381\) 23.3616 + 15.0136i 1.19685 + 0.769168i
\(382\) −2.98740 + 10.0267i −0.152849 + 0.513012i
\(383\) −4.75499 1.77352i −0.242969 0.0906226i 0.225030 0.974352i \(-0.427752\pi\)
−0.467999 + 0.883729i \(0.655025\pi\)
\(384\) 20.4809 + 29.0055i 1.04516 + 1.48018i
\(385\) −3.77534 + 11.8773i −0.192409 + 0.605322i
\(386\) 6.41958 4.76599i 0.326748 0.242583i
\(387\) 49.2468 + 26.8908i 2.50335 + 1.36693i
\(388\) −8.49044 0.675044i −0.431037 0.0342702i
\(389\) −29.6276 + 4.25980i −1.50218 + 0.215981i −0.843780 0.536689i \(-0.819675\pi\)
−0.658398 + 0.752670i \(0.728766\pi\)
\(390\) 7.93016 32.3588i 0.401559 1.63855i
\(391\) 10.2170 + 35.1665i 0.516693 + 1.77845i
\(392\) −11.5262 + 1.51734i −0.582160 + 0.0766372i
\(393\) 5.32664 7.11556i 0.268694 0.358933i
\(394\) 23.4172 + 17.6753i 1.17974 + 0.890471i
\(395\) 11.9687 20.8090i 0.602210 1.04701i
\(396\) −18.3345 41.0055i −0.921344 2.06060i
\(397\) −7.84782 + 4.28523i −0.393871 + 0.215070i −0.663964 0.747764i \(-0.731127\pi\)
0.270093 + 0.962834i \(0.412945\pi\)
\(398\) 6.27297 13.5928i 0.314436 0.681347i
\(399\) −2.60431 5.70264i −0.130379 0.285489i
\(400\) 19.5893 + 4.03228i 0.979465 + 0.201614i
\(401\) −0.0133574 0.00858430i −0.000667038 0.000428679i 0.540307 0.841468i \(-0.318308\pi\)
−0.540974 + 0.841039i \(0.681944\pi\)
\(402\) 22.5830 + 49.9739i 1.12634 + 2.49247i
\(403\) 0.330683 + 0.441741i 0.0164725 + 0.0220047i
\(404\) −18.2601 + 11.5312i −0.908472 + 0.573699i
\(405\) 38.6733 + 3.62899i 1.92169 + 0.180326i
\(406\) 10.6255 2.26730i 0.527335 0.112524i
\(407\) 15.3633 + 3.34208i 0.761530 + 0.165661i
\(408\) −66.9736 10.4449i −3.31569 0.517100i
\(409\) 3.03234 + 2.62754i 0.149939 + 0.129923i 0.726600 0.687060i \(-0.241099\pi\)
−0.576661 + 0.816984i \(0.695645\pi\)
\(410\) −0.191211 4.22121i −0.00944322 0.208471i
\(411\) −32.6542 14.9127i −1.61071 0.735587i
\(412\) 0.710975 0.380925i 0.0350272 0.0187668i
\(413\) 11.3231 + 11.3231i 0.557176 + 0.557176i
\(414\) −16.5320 + 43.4172i −0.812505 + 2.13384i
\(415\) −0.452823 + 20.4278i −0.0222282 + 1.00276i
\(416\) −15.4249 + 11.0761i −0.756268 + 0.543052i
\(417\) 20.1902 + 54.1320i 0.988717 + 2.65085i
\(418\) −4.10360 3.58441i −0.200714 0.175319i
\(419\) 11.3220 13.0663i 0.553115 0.638328i −0.408491 0.912762i \(-0.633945\pi\)
0.961606 + 0.274434i \(0.0884904\pi\)
\(420\) 0.985036 + 23.8390i 0.0480648 + 1.16322i
\(421\) 5.29524 3.40304i 0.258074 0.165854i −0.405206 0.914225i \(-0.632800\pi\)
0.663280 + 0.748371i \(0.269164\pi\)
\(422\) 14.1285 21.7937i 0.687767 1.06090i
\(423\) 43.0635 + 3.07997i 2.09382 + 0.149753i
\(424\) 15.1511 5.44644i 0.735805 0.264503i
\(425\) −31.5482 + 21.5034i −1.53031 + 1.04307i
\(426\) −14.4892 + 38.3809i −0.702002 + 1.85956i
\(427\) 3.86724 + 17.7774i 0.187149 + 0.860309i
\(428\) −12.6261 7.02506i −0.610304 0.339569i
\(429\) 31.4216 14.3498i 1.51705 0.692814i
\(430\) −23.2735 11.3727i −1.12235 0.548442i
\(431\) 0.536432 1.82692i 0.0258390 0.0879996i −0.945564 0.325436i \(-0.894489\pi\)
0.971403 + 0.237436i \(0.0763071\pi\)
\(432\) −33.6280 34.7133i −1.61793 1.67014i
\(433\) 8.48132 + 4.63115i 0.407586 + 0.222559i 0.669944 0.742412i \(-0.266318\pi\)
−0.262357 + 0.964971i \(0.584500\pi\)
\(434\) −0.315407 0.238071i −0.0151400 0.0114278i
\(435\) 3.81680 + 31.4853i 0.183002 + 1.50960i
\(436\) −7.07776 3.30047i −0.338963 0.158064i
\(437\) 0.385995 + 5.62225i 0.0184647 + 0.268948i
\(438\) 27.2447 17.3567i 1.30180 0.829335i
\(439\) −0.109471 0.761388i −0.00522477 0.0363391i 0.987042 0.160460i \(-0.0512979\pi\)
−0.992267 + 0.124121i \(0.960389\pi\)
\(440\) 9.31216 + 18.5280i 0.443940 + 0.883285i
\(441\) 27.0144 7.93216i 1.28640 0.377722i
\(442\) 5.30145 35.8612i 0.252164 1.70574i
\(443\) 14.6261 7.98644i 0.694906 0.379447i −0.0926432 0.995699i \(-0.529532\pi\)
0.787549 + 0.616252i \(0.211350\pi\)
\(444\) 29.8266 4.04698i 1.41551 0.192061i
\(445\) −1.17262 + 2.94302i −0.0555877 + 0.139513i
\(446\) 9.84430 5.32477i 0.466141 0.252135i
\(447\) −8.27724 38.0499i −0.391500 1.79970i
\(448\) 8.40676 10.6896i 0.397182 0.505038i
\(449\) 21.0176 + 3.02188i 0.991883 + 0.142611i 0.619104 0.785309i \(-0.287496\pi\)
0.372779 + 0.927920i \(0.378405\pi\)
\(450\) −48.3795 2.33838i −2.28063 0.110232i
\(451\) 3.31104 2.86903i 0.155911 0.135097i
\(452\) 8.84802 + 8.98964i 0.416176 + 0.422837i
\(453\) −17.4963 3.80609i −0.822048 0.178826i
\(454\) 13.8275 + 7.62182i 0.648959 + 0.357710i
\(455\) −12.7447 + 0.628011i −0.597480 + 0.0294416i
\(456\) −9.72925 3.76141i −0.455614 0.176144i
\(457\) −1.25618 3.36794i −0.0587615 0.157546i 0.904252 0.427000i \(-0.140429\pi\)
−0.963013 + 0.269454i \(0.913157\pi\)
\(458\) 20.0750 17.2560i 0.938044 0.806322i
\(459\) 92.2623 4.30643
\(460\) 6.71727 20.3686i 0.313194 0.949689i
\(461\) −1.94623 −0.0906449 −0.0453224 0.998972i \(-0.514432\pi\)
−0.0453224 + 0.998972i \(0.514432\pi\)
\(462\) −18.7598 + 16.1255i −0.872787 + 0.750228i
\(463\) −7.69410 20.6287i −0.357575 0.958696i −0.983834 0.179081i \(-0.942688\pi\)
0.626259 0.779615i \(-0.284585\pi\)
\(464\) 10.0136 15.0505i 0.464870 0.698704i
\(465\) 0.774559 0.854850i 0.0359193 0.0396427i
\(466\) −16.4271 9.05470i −0.760969 0.419451i
\(467\) −4.86616 1.05857i −0.225179 0.0489847i 0.0985601 0.995131i \(-0.468576\pi\)
−0.323739 + 0.946146i \(0.604940\pi\)
\(468\) 32.7764 32.2600i 1.51509 1.49122i
\(469\) 15.8734 13.7544i 0.732965 0.635118i
\(470\) −19.9245 0.520807i −0.919047 0.0240230i
\(471\) −9.00937 1.29535i −0.415130 0.0596867i
\(472\) 26.6421 + 0.317308i 1.22630 + 0.0146053i
\(473\) −5.70895 26.2436i −0.262498 1.20668i
\(474\) 41.9110 22.6696i 1.92504 1.04125i
\(475\) −5.44735 + 2.20151i −0.249942 + 0.101012i
\(476\) 3.49048 + 25.7252i 0.159986 + 1.17911i
\(477\) −34.2223 + 18.6868i −1.56693 + 0.855608i
\(478\) −0.0830279 + 0.561635i −0.00379761 + 0.0256886i
\(479\) −13.6638 + 4.01205i −0.624315 + 0.183315i −0.578563 0.815637i \(-0.696386\pi\)
−0.0457516 + 0.998953i \(0.514568\pi\)
\(480\) 28.8839 + 27.2342i 1.31836 + 1.24307i
\(481\) 2.29093 + 15.9338i 0.104457 + 0.726518i
\(482\) −19.4270 + 12.3763i −0.884876 + 0.563724i
\(483\) 25.5158 + 1.89809i 1.16101 + 0.0863663i
\(484\) 0.211284 0.453092i 0.00960380 0.0205951i
\(485\) −9.45335 + 1.14598i −0.429255 + 0.0520364i
\(486\) 20.6233 + 15.5665i 0.935491 + 0.706112i
\(487\) −32.3313 17.6542i −1.46507 0.799988i −0.468557 0.883433i \(-0.655226\pi\)
−0.996512 + 0.0834453i \(0.973408\pi\)
\(488\) 25.2688 + 16.6678i 1.14387 + 0.754516i
\(489\) −20.0779 + 68.3789i −0.907952 + 3.09220i
\(490\) −12.2929 + 4.22251i −0.555335 + 0.190754i
\(491\) 0.296197 0.135269i 0.0133672 0.00610459i −0.408720 0.912660i \(-0.634025\pi\)
0.422087 + 0.906555i \(0.361298\pi\)
\(492\) 4.07797 7.32929i 0.183849 0.330430i
\(493\) 7.33549 + 33.7207i 0.330374 + 1.51870i
\(494\) 1.97025 5.21908i 0.0886459 0.234818i
\(495\) −29.1971 40.8599i −1.31231 1.83652i
\(496\) −0.652220 + 0.0832274i −0.0292855 + 0.00373702i
\(497\) 15.6724 + 1.12091i 0.703003 + 0.0502798i
\(498\) −22.0625 + 34.0321i −0.988644 + 1.52501i
\(499\) 30.4810 19.5889i 1.36452 0.876922i 0.365960 0.930631i \(-0.380741\pi\)
0.998557 + 0.0537089i \(0.0171043\pi\)
\(500\) 22.3606 + 0.0677477i 0.999995 + 0.00302977i
\(501\) −24.5225 + 28.3004i −1.09558 + 1.26437i
\(502\) −2.95795 2.58371i −0.132020 0.115316i
\(503\) 7.71893 + 20.6953i 0.344170 + 0.922756i 0.987564 + 0.157220i \(0.0502532\pi\)
−0.643393 + 0.765536i \(0.722474\pi\)
\(504\) −16.1271 + 28.7162i −0.718359 + 1.27912i
\(505\) −17.4475 + 16.6908i −0.776404 + 0.742730i
\(506\) 20.8878 7.62885i 0.928578 0.339144i
\(507\) −3.84148 3.84148i −0.170606 0.170606i
\(508\) −8.35749 15.5988i −0.370804 0.692084i
\(509\) −16.9527 7.74204i −0.751415 0.343160i 0.00261765 0.999997i \(-0.499167\pi\)
−0.754033 + 0.656837i \(0.771894\pi\)
\(510\) −75.7063 + 3.42932i −3.35233 + 0.151853i
\(511\) −9.35035 8.10213i −0.413635 0.358417i
\(512\) −2.41812 22.4978i −0.106867 0.994273i
\(513\) 13.8736 + 3.01802i 0.612535 + 0.133249i
\(514\) 39.2388 8.37287i 1.73075 0.369311i
\(515\) 0.694452 0.575302i 0.0306012 0.0253508i
\(516\) −27.4537 43.4738i −1.20858 1.91383i
\(517\) −12.3842 16.5433i −0.544656 0.727576i
\(518\) −4.74733 10.5054i −0.208586 0.461579i
\(519\) −18.4764 11.8740i −0.811022 0.521212i
\(520\) −14.4420 + 15.5624i −0.633322 + 0.682459i
\(521\) 0.737472 + 1.61484i 0.0323093 + 0.0707474i 0.925099 0.379727i \(-0.123982\pi\)
−0.892789 + 0.450474i \(0.851255\pi\)
\(522\) −18.3447 + 39.7509i −0.802926 + 1.73985i
\(523\) 3.68380 2.01151i 0.161081 0.0879570i −0.396686 0.917954i \(-0.629840\pi\)
0.557767 + 0.829997i \(0.311658\pi\)
\(524\) −5.17087 + 2.31202i −0.225891 + 0.101001i
\(525\) 6.37382 + 25.9029i 0.278176 + 1.13049i
\(526\) 29.1736 + 22.0203i 1.27203 + 0.960133i
\(527\) 0.752196 1.00482i 0.0327662 0.0437705i
\(528\) −3.58789 + 41.0038i −0.156143 + 1.78446i
\(529\) −20.8667 9.67374i −0.907247 0.420598i
\(530\) 15.3923 9.33291i 0.668599 0.405396i
\(531\) −63.8696 + 9.18306i −2.77170 + 0.398511i
\(532\) −0.316635 + 3.98251i −0.0137279 + 0.172664i
\(533\) 3.93695 + 2.14974i 0.170528 + 0.0931155i
\(534\) −5.04898 + 3.74844i −0.218491 + 0.162211i
\(535\) −15.3953 4.89358i −0.665596 0.211568i
\(536\) 2.90804 34.8257i 0.125608 1.50424i
\(537\) 35.0894 + 13.0877i 1.51422 + 0.564775i
\(538\) −9.86119 + 33.0975i −0.425146 + 1.42693i
\(539\) −11.3371 7.28593i −0.488325 0.313827i
\(540\) −44.5575 30.5686i −1.91745 1.31546i
\(541\) 1.26860 8.82329i 0.0545413 0.379343i −0.944208 0.329349i \(-0.893171\pi\)
0.998750 0.0499939i \(-0.0159202\pi\)
\(542\) −0.0847578 + 21.3504i −0.00364066 + 0.917079i
\(543\) 17.1360 + 1.22559i 0.735374 + 0.0525950i
\(544\) 34.0590 + 26.5672i 1.46027 + 1.13906i
\(545\) −8.48849 2.04458i −0.363607 0.0875803i
\(546\) −22.1815 12.2266i −0.949280 0.523249i
\(547\) 1.04266 0.0745723i 0.0445808 0.00318848i −0.0490310 0.998797i \(-0.515613\pi\)
0.0936118 + 0.995609i \(0.470159\pi\)
\(548\) 13.5635 + 18.4218i 0.579403 + 0.786938i
\(549\) −66.6852 30.4541i −2.84605 1.29975i
\(550\) 14.3188 + 18.2339i 0.610554 + 0.777496i
\(551\) 5.31058i 0.226238i
\(552\) 32.5818 27.4008i 1.38677 1.16625i
\(553\) −12.9044 12.9044i −0.548751 0.548751i
\(554\) −5.03698 0.380356i −0.214001 0.0161598i
\(555\) 31.7838 11.0587i 1.34915 0.469418i
\(556\) 5.52882 36.3998i 0.234474 1.54370i
\(557\) −3.34065 46.7085i −0.141548 1.97910i −0.196077 0.980588i \(-0.562820\pi\)
0.0545293 0.998512i \(-0.482634\pi\)
\(558\) 1.52962 0.442549i 0.0647540 0.0187346i
\(559\) 23.1328 14.8666i 0.978414 0.628788i
\(560\) 6.83764 13.5803i 0.288943 0.573872i
\(561\) −51.4554 59.3827i −2.17245 2.50714i
\(562\) 12.0710 + 0.0479202i 0.509186 + 0.00202139i
\(563\) −10.7885 14.4117i −0.454680 0.607382i 0.513361 0.858173i \(-0.328400\pi\)
−0.968041 + 0.250791i \(0.919309\pi\)
\(564\) −33.1110 21.6525i −1.39422 0.911735i
\(565\) 11.6918 + 7.88535i 0.491877 + 0.331739i
\(566\) −7.02526 + 3.79996i −0.295294 + 0.159724i
\(567\) 10.3195 27.6678i 0.433380 1.16194i
\(568\) 19.9603 16.8837i 0.837514 0.708425i
\(569\) 6.78455 23.1061i 0.284423 0.968657i −0.686071 0.727534i \(-0.740666\pi\)
0.970495 0.241122i \(-0.0775156\pi\)
\(570\) −11.4962 1.96078i −0.481524 0.0821280i
\(571\) 0.253555 + 0.863529i 0.0106109 + 0.0361376i 0.964628 0.263614i \(-0.0849145\pi\)
−0.954017 + 0.299751i \(0.903096\pi\)
\(572\) −21.9437 1.74466i −0.917511 0.0729480i
\(573\) −13.9141 + 18.5871i −0.581271 + 0.776487i
\(574\) −3.13621 0.695292i −0.130903 0.0290209i
\(575\) 2.83676 23.8108i 0.118301 0.992978i
\(576\) 14.1820 + 52.9321i 0.590918 + 2.20550i
\(577\) −37.5840 28.1350i −1.56464 1.17128i −0.909450 0.415813i \(-0.863497\pi\)
−0.655191 0.755463i \(-0.727412\pi\)
\(578\) −57.8554 + 8.08406i −2.40647 + 0.336252i
\(579\) 17.0247 4.99891i 0.707523 0.207748i
\(580\) 7.62983 18.7156i 0.316811 0.777124i
\(581\) 14.9044 + 4.37632i 0.618338 + 0.181560i
\(582\) −17.1622 7.92021i −0.711397 0.328303i
\(583\) 17.4868 + 6.52225i 0.724231 + 0.270124i
\(584\) −20.5494 + 1.22393i −0.850338 + 0.0506467i
\(585\) 28.7501 42.6284i 1.18867 1.76247i
\(586\) −1.51481 + 4.01264i −0.0625763 + 0.165761i
\(587\) −14.9587 + 11.1980i −0.617413 + 0.462189i −0.861634 0.507530i \(-0.830559\pi\)
0.244221 + 0.969720i \(0.421468\pi\)
\(588\) −25.1659 5.68413i −1.03782 0.234410i
\(589\) 0.145978 0.126490i 0.00601490 0.00521194i
\(590\) 29.2636 5.56932i 1.20477 0.229285i
\(591\) 35.2010 + 54.7739i 1.44798 + 2.25310i
\(592\) −17.8633 6.98772i −0.734175 0.287194i
\(593\) 19.5092 1.39532i 0.801146 0.0572991i 0.335240 0.942133i \(-0.391183\pi\)
0.465907 + 0.884834i \(0.345728\pi\)
\(594\) −3.77491 55.8977i −0.154886 2.29351i
\(595\) 9.53808 + 27.4132i 0.391023 + 1.12383i
\(596\) −7.17991 + 23.7532i −0.294101 + 0.972970i
\(597\) 23.4921 23.4921i 0.961466 0.961466i
\(598\) 14.7920 + 17.3081i 0.604891 + 0.707780i
\(599\) 44.4078 1.81445 0.907227 0.420642i \(-0.138195\pi\)
0.907227 + 0.420642i \(0.138195\pi\)
\(600\) 37.6981 + 23.4271i 1.53902 + 0.956407i
\(601\) −11.5921 + 25.3832i −0.472853 + 1.03540i 0.511514 + 0.859275i \(0.329085\pi\)
−0.984367 + 0.176128i \(0.943643\pi\)
\(602\) −12.9549 + 14.8313i −0.528001 + 0.604480i
\(603\) 6.03775 + 84.4187i 0.245876 + 3.43780i
\(604\) 8.56381 + 7.54046i 0.348456 + 0.306817i
\(605\) 0.130886 0.543401i 0.00532129 0.0220924i
\(606\) −46.8716 + 10.0016i −1.90403 + 0.406287i
\(607\) −0.679398 + 9.49923i −0.0275759 + 0.385562i 0.964857 + 0.262775i \(0.0846377\pi\)
−0.992433 + 0.122787i \(0.960817\pi\)
\(608\) 4.25246 + 5.10906i 0.172460 + 0.207200i
\(609\) 23.8658 + 3.43138i 0.967090 + 0.139046i
\(610\) 31.3902 + 12.6518i 1.27095 + 0.512256i
\(611\) 11.4390 17.7994i 0.462770 0.720085i
\(612\) −91.4133 50.8618i −3.69517 2.05597i
\(613\) 11.7086 31.3921i 0.472908 1.26791i −0.453454 0.891280i \(-0.649808\pi\)
0.926362 0.376635i \(-0.122919\pi\)
\(614\) 38.6963 14.2582i 1.56165 0.575415i
\(615\) 2.84067 8.93678i 0.114547 0.360366i
\(616\) 15.4430 3.16728i 0.622215 0.127613i
\(617\) −6.12209 + 11.2118i −0.246466 + 0.451369i −0.971400 0.237449i \(-0.923689\pi\)
0.724934 + 0.688819i \(0.241870\pi\)
\(618\) 1.77278 0.247708i 0.0713117 0.00996429i
\(619\) 0.0497499 + 0.346018i 0.00199962 + 0.0139076i 0.990797 0.135358i \(-0.0432183\pi\)
−0.988797 + 0.149265i \(0.952309\pi\)
\(620\) −0.696188 + 0.236050i −0.0279596 + 0.00947999i
\(621\) −38.0716 + 43.6845i −1.52776 + 1.75300i
\(622\) 16.0190 + 25.1450i 0.642305 + 1.00822i
\(623\) 1.92804 + 1.44331i 0.0772453 + 0.0578251i
\(624\) −40.6186 + 11.2293i −1.62605 + 0.449532i
\(625\) 24.5167 4.89188i 0.980669 0.195675i
\(626\) −23.0311 + 17.0987i −0.920510 + 0.683400i
\(627\) −5.79494 10.6126i −0.231427 0.423828i
\(628\) 4.61565 + 3.51276i 0.184185 + 0.140174i
\(629\) 33.3079 15.2112i 1.32807 0.606510i
\(630\) −11.2937 + 35.0476i −0.449951 + 1.39633i
\(631\) 18.5938 28.9325i 0.740208 1.15179i −0.243129 0.969994i \(-0.578174\pi\)
0.983337 0.181792i \(-0.0581898\pi\)
\(632\) −30.3626 0.361620i −1.20776 0.0143845i
\(633\) 46.1426 34.5419i 1.83400 1.37292i
\(634\) −7.41019 + 7.35159i −0.294296 + 0.291969i
\(635\) −12.6221 15.2363i −0.500893 0.604633i
\(636\) 35.7291 + 0.283682i 1.41675 + 0.0112487i
\(637\) 2.93296 13.4826i 0.116208 0.534200i
\(638\) 20.1298 5.82394i 0.796946 0.230572i
\(639\) −41.4617 + 47.8494i −1.64020 + 1.89289i
\(640\) −7.64626 24.1150i −0.302245 0.953230i
\(641\) 18.3941 40.2775i 0.726523 1.59086i −0.0780070 0.996953i \(-0.524856\pi\)
0.804530 0.593911i \(-0.202417\pi\)
\(642\) −20.9019 24.3164i −0.824931 0.959692i
\(643\) −29.5905 + 29.5905i −1.16693 + 1.16693i −0.184010 + 0.982924i \(0.558908\pi\)
−0.982924 + 0.184010i \(0.941092\pi\)
\(644\) −13.6207 8.96268i −0.536732 0.353179i
\(645\) −39.7377 41.5393i −1.56467 1.63561i
\(646\) −12.6535 0.955496i −0.497843 0.0375935i
\(647\) −15.7810 + 5.88601i −0.620415 + 0.231403i −0.639962 0.768406i \(-0.721050\pi\)
0.0195476 + 0.999809i \(0.493777\pi\)
\(648\) −19.8770 44.9330i −0.780840 1.76514i
\(649\) 23.3420 + 20.2259i 0.916252 + 0.793937i
\(650\) −12.3685 + 20.2601i −0.485133 + 0.794665i
\(651\) −0.474126 0.737754i −0.0185825 0.0289149i
\(652\) 32.3669 31.8570i 1.26758 1.24761i
\(653\) −1.16547 + 16.2954i −0.0456083 + 0.637687i 0.922315 + 0.386440i \(0.126295\pi\)
−0.967923 + 0.251247i \(0.919159\pi\)
\(654\) −12.2061 12.3034i −0.477295 0.481100i
\(655\) −5.15252 + 3.68182i −0.201326 + 0.143860i
\(656\) −4.54176 + 2.81792i −0.177326 + 0.110021i
\(657\) 48.7152 10.5974i 1.90056 0.413442i
\(658\) −4.32657 + 14.5214i −0.168667 + 0.566104i
\(659\) −14.7993 32.4059i −0.576497 1.26235i −0.943265 0.332041i \(-0.892263\pi\)
0.366768 0.930313i \(-0.380464\pi\)
\(660\) 5.17520 + 45.7269i 0.201444 + 1.77992i
\(661\) 30.3061 + 8.89868i 1.17877 + 0.346119i 0.811700 0.584074i \(-0.198542\pi\)
0.367071 + 0.930193i \(0.380360\pi\)
\(662\) −4.42264 0.653809i −0.171891 0.0254110i
\(663\) 38.5550 70.6082i 1.49735 2.74220i
\(664\) 22.8302 12.1155i 0.885983 0.470173i
\(665\) 0.537532 + 4.43417i 0.0208446 + 0.171950i
\(666\) 45.3522 + 10.0545i 1.75736 + 0.389604i
\(667\) −18.9931 10.4415i −0.735416 0.404295i
\(668\) 22.4242 8.16157i 0.867617 0.315781i
\(669\) 24.5850 3.53478i 0.950509 0.136663i
\(670\) −4.54804 38.8062i −0.175706 1.49922i
\(671\) 9.88604 + 33.6688i 0.381646 + 1.29977i
\(672\) 25.7078 15.8094i 0.991701 0.609860i
\(673\) −14.1675 25.9458i −0.546117 1.00014i −0.994343 0.106218i \(-0.966126\pi\)
0.448226 0.893920i \(-0.352056\pi\)
\(674\) −5.56117 15.0928i −0.214208 0.581353i
\(675\) −55.6131 23.5998i −2.14055 0.908357i
\(676\) 0.948957 + 3.32941i 0.0364983 + 0.128054i
\(677\) −43.1010 + 9.37605i −1.65651 + 0.360351i −0.941040 0.338297i \(-0.890149\pi\)
−0.715466 + 0.698647i \(0.753786\pi\)
\(678\) 11.5272 + 25.5086i 0.442700 + 0.979650i
\(679\) −1.03026 + 7.16561i −0.0395377 + 0.274991i
\(680\) 43.2207 + 21.5469i 1.65744 + 0.826284i
\(681\) 22.9459 + 26.4809i 0.879288 + 1.01475i
\(682\) −0.639551 0.414611i −0.0244897 0.0158763i
\(683\) −4.60974 + 21.1906i −0.176387 + 0.810837i 0.800880 + 0.598825i \(0.204365\pi\)
−0.977267 + 0.212012i \(0.931998\pi\)
\(684\) −12.0822 10.6384i −0.461974 0.406770i
\(685\) 18.9536 + 17.1734i 0.724178 + 0.656160i
\(686\) 1.79967 + 26.6489i 0.0687116 + 1.01746i
\(687\) 55.0436 20.5302i 2.10004 0.783276i
\(688\) 1.81823 + 32.7152i 0.0693195 + 1.24725i
\(689\) 19.1088i 0.727986i
\(690\) 29.6161 37.2607i 1.12747 1.41849i
\(691\) 22.0878i 0.840258i 0.907464 + 0.420129i \(0.138015\pi\)
−0.907464 + 0.420129i \(0.861985\pi\)
\(692\) 6.60983 + 12.3369i 0.251268 + 0.468977i
\(693\) −35.7711 + 13.3419i −1.35883 + 0.506818i
\(694\) −44.4278 + 3.00031i −1.68646 + 0.113890i
\(695\) −2.02590 41.1131i −0.0768469 1.55951i
\(696\) 32.3999 23.6574i 1.22811 0.896733i
\(697\) 2.16888 9.97019i 0.0821522 0.377648i
\(698\) −25.4282 + 39.2239i −0.962473 + 1.48465i
\(699\) −27.2596 31.4593i −1.03105 1.18990i
\(700\) 4.47628 16.3992i 0.169188 0.619833i
\(701\) 3.17858 22.1075i 0.120053 0.834988i −0.837439 0.546530i \(-0.815948\pi\)
0.957493 0.288458i \(-0.0931425\pi\)
\(702\) 52.2720 23.6215i 1.97288 0.891535i
\(703\) 5.50613 1.19778i 0.207667 0.0451753i
\(704\) 14.7024 21.7219i 0.554118 0.818675i
\(705\) −41.0903 16.3721i −1.54755 0.616609i
\(706\) −9.11255 + 3.35766i −0.342955 + 0.126367i
\(707\) 8.79706 + 16.1106i 0.330847 + 0.605902i
\(708\) 55.2350 + 21.1026i 2.07586 + 0.793086i
\(709\) 12.6311 + 43.0175i 0.474371 + 1.61556i 0.754988 + 0.655738i \(0.227643\pi\)
−0.280618 + 0.959820i \(0.590539\pi\)
\(710\) 18.1218 22.9334i 0.680099 0.860675i
\(711\) 72.7889 10.4655i 2.72980 0.392485i
\(712\) 3.97300 0.523017i 0.148895 0.0196009i
\(713\) 0.165373 + 0.770784i 0.00619325 + 0.0288661i
\(714\) −12.4699 + 56.2472i −0.466674 + 2.10500i
\(715\) −24.4323 + 2.96181i −0.913717 + 0.110765i
\(716\) −15.4850 18.1600i −0.578703 0.678672i
\(717\) −0.603824 + 1.10582i −0.0225502 + 0.0412976i
\(718\) −0.792660 + 5.36188i −0.0295818 + 0.200104i
\(719\) 37.2146 + 10.9272i 1.38787 + 0.407516i 0.888502 0.458873i \(-0.151747\pi\)
0.499370 + 0.866389i \(0.333565\pi\)
\(720\) 27.2958 + 54.8508i 1.01726 + 2.04417i
\(721\) −0.284796 0.623616i −0.0106063 0.0232247i
\(722\) 23.8799 + 7.11487i 0.888718 + 0.264788i
\(723\) −49.9501 + 10.8660i −1.85766 + 0.404110i
\(724\) −9.16268 5.99182i −0.340528 0.222684i
\(725\) 4.20380 22.2022i 0.156125 0.824570i
\(726\) 0.787616 0.781387i 0.0292312 0.0290000i
\(727\) 0.790253 11.0492i 0.0293089 0.409791i −0.961526 0.274713i \(-0.911417\pi\)
0.990835 0.135078i \(-0.0431284\pi\)
\(728\) 8.56386 + 13.6812i 0.317398 + 0.507058i
\(729\) 2.82653 + 4.39816i 0.104686 + 0.162895i
\(730\) −22.2452 + 5.90499i −0.823332 + 0.218553i
\(731\) −47.2714 40.9609i −1.74840 1.51499i
\(732\) 39.8299 + 54.0966i 1.47216 + 1.99947i
\(733\) −7.86545 + 2.93366i −0.290517 + 0.108357i −0.490497 0.871443i \(-0.663185\pi\)
0.199980 + 0.979800i \(0.435912\pi\)
\(734\) 1.27107 16.8325i 0.0469161 0.621301i
\(735\) −28.8380 0.639251i −1.06371 0.0235791i
\(736\) −26.6334 + 5.16352i −0.981720 + 0.190330i
\(737\) 28.6453 28.6453i 1.05516 1.05516i
\(738\) 9.81625 8.43783i 0.361341 0.310601i
\(739\) −14.7838 + 32.3719i −0.543829 + 1.19082i 0.415775 + 0.909467i \(0.363510\pi\)
−0.959604 + 0.281353i \(0.909217\pi\)
\(740\) −21.1256 3.68952i −0.776594 0.135629i
\(741\) 8.10726 9.35628i 0.297828 0.343711i
\(742\) −3.80325 13.1455i −0.139622 0.482587i
\(743\) −0.472513 + 2.17211i −0.0173348 + 0.0796869i −0.985002 0.172545i \(-0.944801\pi\)
0.967667 + 0.252232i \(0.0811646\pi\)
\(744\) −1.42201 0.327124i −0.0521336 0.0119930i
\(745\) −2.59199 + 27.6223i −0.0949633 + 1.01200i
\(746\) −15.9806 16.1080i −0.585093 0.589757i
\(747\) −50.1084 + 37.5107i −1.83337 + 1.37244i
\(748\) 10.2548 + 49.0108i 0.374953 + 1.79201i
\(749\) −6.63957 + 10.3314i −0.242605 + 0.377500i
\(750\) 46.5108 + 17.2978i 1.69833 + 0.631628i
\(751\) −23.8098 + 10.8736i −0.868832 + 0.396782i −0.799396 0.600804i \(-0.794847\pi\)
−0.0694356 + 0.997586i \(0.522120\pi\)
\(752\) 11.7296 + 22.3165i 0.427735 + 0.813798i
\(753\) −4.17709 7.64977i −0.152222 0.278773i
\(754\) 12.7893 + 17.2267i 0.465760 + 0.627359i
\(755\) 11.0585 + 6.36052i 0.402460 + 0.231483i
\(756\) −31.2581 + 26.6537i −1.13685 + 0.969386i
\(757\) 9.81319 + 7.34606i 0.356666 + 0.266997i 0.762552 0.646927i \(-0.223946\pi\)
−0.405886 + 0.913924i \(0.633037\pi\)
\(758\) 33.6177 21.4167i 1.22105 0.777889i
\(759\) 49.3495 + 0.140766i 1.79127 + 0.00510947i
\(760\) 5.79433 + 4.65383i 0.210182 + 0.168812i
\(761\) 2.79900 + 19.4675i 0.101464 + 0.705696i 0.975526 + 0.219883i \(0.0705675\pi\)
−0.874063 + 0.485813i \(0.838523\pi\)
\(762\) −5.43472 38.8948i −0.196879 1.40901i
\(763\) −3.18113 + 5.82580i −0.115164 + 0.210908i
\(764\) 13.5072 6.03940i 0.488674 0.218498i
\(765\) −111.462 35.4297i −4.02993 1.28096i
\(766\) 2.48142 + 6.73448i 0.0896574 + 0.243327i
\(767\) −11.0510 + 29.6287i −0.399027 + 1.06983i
\(768\) 12.2267 48.7040i 0.441193 1.75745i
\(769\) −4.94436 + 7.69358i −0.178298 + 0.277438i −0.918887 0.394521i \(-0.870910\pi\)
0.740589 + 0.671959i \(0.234547\pi\)
\(770\) 16.2182 6.90032i 0.584465 0.248670i
\(771\) 88.1335 + 12.6717i 3.17405 + 0.456360i
\(772\) −11.0293 2.49115i −0.396953 0.0896585i
\(773\) 1.26993 17.7560i 0.0456764 0.638639i −0.922120 0.386904i \(-0.873544\pi\)
0.967796 0.251735i \(-0.0810011\pi\)
\(774\) −16.5595 77.6047i −0.595219 2.78944i
\(775\) −0.710425 + 0.413270i −0.0255192 + 0.0148451i
\(776\) 7.10307 + 9.72795i 0.254985 + 0.349213i
\(777\) −1.82512 25.5185i −0.0654757 0.915470i
\(778\) 31.8810 + 27.8474i 1.14299 + 0.998379i
\(779\) 0.652275 1.42828i 0.0233702 0.0511736i
\(780\) −42.0141 + 21.3256i −1.50434 + 0.763580i
\(781\) 30.3054 1.08441
\(782\) 28.2960 43.3760i 1.01186 1.55112i
\(783\) −38.6120 + 38.6120i −1.37988 + 1.37988i
\(784\) 12.2528 + 10.9626i 0.437602 + 0.391521i
\(785\) 5.83777 + 2.82402i 0.208359 + 0.100793i
\(786\) −12.5416 + 0.846963i −0.447343 + 0.0302102i
\(787\) 4.84094 0.346231i 0.172561 0.0123418i 0.0152086 0.999884i \(-0.495159\pi\)
0.157352 + 0.987543i \(0.449704\pi\)
\(788\) −2.63130 41.4082i −0.0937363 1.47511i
\(789\) 43.8542 + 68.2385i 1.56125 + 2.42936i
\(790\) −33.3503 + 6.34707i −1.18655 + 0.225819i
\(791\) 8.10238 7.02075i 0.288087 0.249629i
\(792\) −27.0748 + 57.4644i −0.962061 + 2.04191i
\(793\) −28.7612 + 21.5304i −1.02134 + 0.764565i
\(794\) 11.8304 + 4.46607i 0.419844 + 0.158495i
\(795\) 39.2132 7.62432i 1.39075 0.270407i
\(796\) −20.3606 + 5.80321i −0.721661 + 0.205690i
\(797\) 5.79409 + 2.16108i 0.205237 + 0.0765495i 0.449980 0.893038i \(-0.351431\pi\)
−0.244743 + 0.969588i \(0.578704\pi\)
\(798\) −3.71504 + 8.05007i −0.131511 + 0.284969i
\(799\) −46.1783 13.5592i −1.63367 0.479689i
\(800\) −13.7342 24.7259i −0.485577 0.874194i
\(801\) −9.31171 + 2.73416i −0.329013 + 0.0966069i
\(802\) 0.00310741 + 0.0222388i 0.000109726 + 0.000785281i
\(803\) −19.1034 14.3006i −0.674145 0.504658i
\(804\) 32.7766 70.2884i 1.15594 2.47888i
\(805\) −16.9155 6.79582i −0.596193 0.239521i
\(806\) 0.168905 0.761869i 0.00594942 0.0268357i
\(807\) −45.9295 + 61.3546i −1.61680 + 2.15979i
\(808\) 29.2000 + 8.95298i 1.02725 + 0.314965i
\(809\) 6.10036 + 20.7759i 0.214477 + 0.730443i 0.994504 + 0.104697i \(0.0333872\pi\)
−0.780027 + 0.625746i \(0.784795\pi\)
\(810\) −31.7595 44.8210i −1.11592 1.57485i
\(811\) 5.91247 20.1360i 0.207615 0.707072i −0.788179 0.615447i \(-0.788976\pi\)
0.995794 0.0916250i \(-0.0292061\pi\)
\(812\) −12.2268 9.30528i −0.429078 0.326551i
\(813\) −16.5582 + 44.3942i −0.580721 + 1.55697i
\(814\) −10.5786 19.5574i −0.370780 0.685488i
\(815\) 28.3909 42.0958i 0.994490 1.47455i
\(816\) 50.5388 + 81.4553i 1.76921 + 2.85150i
\(817\) −5.76838 7.70566i −0.201810 0.269587i
\(818\) 0.0225260 5.67429i 0.000787604 0.198397i
\(819\) −25.5978 29.5414i −0.894459 1.03226i
\(820\) −4.35080 + 4.09644i −0.151937 + 0.143054i
\(821\) 19.1938 12.3351i 0.669868 0.430498i −0.161010 0.986953i \(-0.551475\pi\)
0.830878 + 0.556455i \(0.187839\pi\)
\(822\) 14.1094 + 48.7677i 0.492123 + 1.70097i
\(823\) −3.39757 47.5043i −0.118432 1.65589i −0.615466 0.788164i \(-0.711032\pi\)
0.497034 0.867731i \(-0.334423\pi\)
\(824\) −1.06395 0.411331i −0.0370644 0.0143294i
\(825\) 15.8263 + 48.9560i 0.551002 + 1.70443i
\(826\) 1.70523 22.5820i 0.0593325 0.785729i
\(827\) 22.2594 + 22.2594i 0.774035 + 0.774035i 0.978809 0.204774i \(-0.0656459\pi\)
−0.204774 + 0.978809i \(0.565646\pi\)
\(828\) 61.8034 22.2947i 2.14782 0.774795i
\(829\) 0.713043i 0.0247650i −0.999923 0.0123825i \(-0.996058\pi\)
0.999923 0.0123825i \(-0.00394158\pi\)
\(830\) 22.3255 18.3460i 0.774929 0.636800i
\(831\) −10.1970 4.65680i −0.353729 0.161542i
\(832\) 26.0983 + 6.33191i 0.904797 + 0.219519i
\(833\) −31.3058 + 2.23904i −1.08468 + 0.0775780i
\(834\) 39.4418 71.5554i 1.36576 2.47776i
\(835\) 22.7587 13.9233i 0.787598 0.481836i
\(836\) −0.0611784 + 7.70528i −0.00211590 + 0.266493i
\(837\) 1.98105 + 0.141688i 0.0684752 + 0.00489744i
\(838\) −24.4503 0.0970640i −0.844623 0.00335302i
\(839\) 2.92199 20.3229i 0.100878 0.701623i −0.875130 0.483888i \(-0.839224\pi\)
0.976008 0.217735i \(-0.0698668\pi\)
\(840\) 24.6583 23.0327i 0.850792 0.794703i
\(841\) 7.21421 + 4.63629i 0.248766 + 0.159872i
\(842\) −8.53111 2.54179i −0.294002 0.0875959i
\(843\) 25.0995 + 9.36163i 0.864473 + 0.322432i
\(844\) −36.3975 + 4.93854i −1.25285 + 0.169992i
\(845\) 1.77926 + 3.43746i 0.0612084 + 0.118252i
\(846\) −36.3955 49.0232i −1.25130 1.68545i
\(847\) −0.372945 0.203644i −0.0128146 0.00699728i
\(848\) −19.8084 11.2281i −0.680222 0.385575i
\(849\) −17.5448 + 2.52255i −0.602134 + 0.0865739i
\(850\) 52.1446 + 14.0110i 1.78854 + 0.480575i
\(851\) −6.54210 + 22.0475i −0.224260 + 0.755778i
\(852\) 54.5190 19.8429i 1.86779 0.679806i
\(853\) 18.4525 24.6496i 0.631801 0.843988i −0.364384 0.931249i \(-0.618720\pi\)
0.996185 + 0.0872608i \(0.0278114\pi\)
\(854\) 15.5005 20.5358i 0.530416 0.702720i
\(855\) −15.6018 8.97370i −0.533571 0.306894i
\(856\) 4.10541 + 20.0171i 0.140320 + 0.684170i
\(857\) −19.2008 + 10.4844i −0.655888 + 0.358142i −0.772481 0.635038i \(-0.780984\pi\)
0.116593 + 0.993180i \(0.462803\pi\)
\(858\) −44.3560 20.4699i −1.51429 0.698831i
\(859\) 9.40623 + 20.5968i 0.320936 + 0.702753i 0.999494 0.0317941i \(-0.0101221\pi\)
−0.678558 + 0.734547i \(0.737395\pi\)
\(860\) 9.25813 + 35.4439i 0.315700 + 1.20863i
\(861\) −5.99725 3.85420i −0.204386 0.131351i
\(862\) −2.45381 + 1.10887i −0.0835772 + 0.0377682i
\(863\) 31.8360 + 42.5280i 1.08371 + 1.44767i 0.883806 + 0.467854i \(0.154973\pi\)
0.199906 + 0.979815i \(0.435936\pi\)
\(864\) −6.22820 + 68.0655i −0.211888 + 2.31563i
\(865\) 9.98267 + 12.0502i 0.339421 + 0.409718i
\(866\) −2.85189 13.3652i −0.0969113 0.454167i
\(867\) −126.678 27.5572i −4.30223 0.935892i
\(868\) 0.0354413 + 0.557730i 0.00120295 + 0.0189306i
\(869\) −26.6016 23.0504i −0.902398 0.781932i
\(870\) 30.2481 33.1185i 1.02551 1.12282i
\(871\) 37.7287 + 17.2301i 1.27839 + 0.583821i
\(872\) 2.98511 + 10.6332i 0.101088 + 0.360085i
\(873\) −20.6270 20.6270i −0.698119 0.698119i
\(874\) 5.67380 5.59690i 0.191919 0.189318i
\(875\) 1.26275 18.9637i 0.0426889 0.641089i
\(876\) −43.7303 13.2184i −1.47751 0.446608i
\(877\) −4.64924 12.4651i −0.156994 0.420917i 0.834510 0.550992i \(-0.185751\pi\)
−0.991504 + 0.130076i \(0.958478\pi\)
\(878\) −0.715640 + 0.819298i −0.0241517 + 0.0276500i
\(879\) −6.23319 + 7.19349i −0.210240 + 0.242630i
\(880\) 11.2859 27.0671i 0.380449 0.912433i
\(881\) −7.09661 + 4.56072i −0.239091 + 0.153654i −0.654700 0.755889i \(-0.727205\pi\)
0.415609 + 0.909543i \(0.363569\pi\)
\(882\) −33.4105 21.6595i −1.12499 0.729315i
\(883\) −37.3282 2.66976i −1.25619 0.0898447i −0.572677 0.819781i \(-0.694095\pi\)
−0.683515 + 0.729936i \(0.739550\pi\)
\(884\) −43.3469 + 27.3735i −1.45791 + 0.920671i
\(885\) 65.2107 + 10.8560i 2.19203 + 0.364920i
\(886\) −22.0484 8.32347i −0.740729 0.279632i
\(887\) −8.86888 40.7696i −0.297788 1.36891i −0.846273 0.532749i \(-0.821159\pi\)
0.548485 0.836160i \(-0.315205\pi\)
\(888\) −31.8362 28.2570i −1.06835 0.948244i
\(889\) −13.6821 + 6.24841i −0.458883 + 0.209565i
\(890\) 4.23727 1.45547i 0.142034 0.0487875i
\(891\) 16.0462 54.6483i 0.537567 1.83079i
\(892\) −14.7857 5.64890i −0.495062 0.189139i
\(893\) −6.50036 3.54947i −0.217526 0.118778i
\(894\) −33.1765 + 43.9538i −1.10959 + 1.47003i
\(895\) −21.0010 16.4598i −0.701985 0.550190i
\(896\) −19.2141 + 0.838479i −0.641898 + 0.0280116i
\(897\) 17.5222 + 47.3913i 0.585049 + 1.58235i
\(898\) −16.1345 25.3263i −0.538416 0.845150i
\(899\) 0.105722 + 0.735315i 0.00352604 + 0.0245241i
\(900\) 42.0914 + 54.0407i 1.40305 + 1.80136i
\(901\) 41.7055 12.2458i 1.38941 0.407968i
\(902\) −6.12925 0.906102i −0.204082 0.0301699i
\(903\) −38.3564 + 20.9442i −1.27642 + 0.696979i
\(904\) 1.48437 17.7764i 0.0493695 0.591233i
\(905\) −11.3708 4.53059i −0.377977 0.150602i
\(906\) 12.0473 + 22.2728i 0.400245 + 0.739963i
\(907\) −6.72694 30.9232i −0.223364 1.02679i −0.943092 0.332533i \(-0.892097\pi\)
0.719727 0.694257i \(-0.244267\pi\)
\(908\) −4.57300 21.8558i −0.151760 0.725309i
\(909\) −73.2130 10.5264i −2.42832 0.349140i
\(910\) 12.4224 + 13.0892i 0.411797 + 0.433903i
\(911\) 25.6763 22.2486i 0.850693 0.737130i −0.115950 0.993255i \(-0.536991\pi\)
0.966644 + 0.256125i \(0.0824458\pi\)
\(912\) 4.93508 + 13.9017i 0.163417 + 0.460332i
\(913\) 29.2758 + 6.36856i 0.968888 + 0.210769i
\(914\) −2.45396 + 4.45198i −0.0811697 + 0.147258i
\(915\) 55.6582 + 50.4306i 1.84000 + 1.66718i
\(916\) −37.0128 5.62193i −1.22294 0.185754i
\(917\) 1.68244 + 4.51081i 0.0555592 + 0.148960i
\(918\) −85.0532 98.9475i −2.80717 3.26576i
\(919\) −45.7413 −1.50887 −0.754433 0.656377i \(-0.772088\pi\)
−0.754433 + 0.656377i \(0.772088\pi\)
\(920\) −28.0369 + 11.5730i −0.924348 + 0.381551i
\(921\) 91.5196 3.01567
\(922\) 1.79415 + 2.08725i 0.0590873 + 0.0687399i
\(923\) 10.8433 + 29.0720i 0.356911 + 0.956915i
\(924\) 34.5880 + 5.25362i 1.13786 + 0.172831i
\(925\) −23.9679 + 0.649046i −0.788060 + 0.0213405i
\(926\) −15.0305 + 27.2684i −0.493933 + 0.896096i
\(927\) 2.69939 + 0.587217i 0.0886597 + 0.0192867i
\(928\) −25.3723 + 3.13535i −0.832886 + 0.102923i
\(929\) −18.8870 + 16.3656i −0.619661 + 0.536939i −0.907130 0.420851i \(-0.861732\pi\)
0.287469 + 0.957790i \(0.407186\pi\)
\(930\) −1.63083 0.0426284i −0.0534770 0.00139784i
\(931\) −4.78074 0.687367i −0.156682 0.0225275i
\(932\) 5.43271 + 25.9646i 0.177954 + 0.850497i
\(933\) 14.0642 + 64.6520i 0.460441 + 2.11661i
\(934\) 3.35066 + 6.19461i 0.109637 + 0.202694i
\(935\) 22.1217 + 51.4263i 0.723456 + 1.68182i
\(936\) −64.8129 5.41205i −2.11848 0.176898i
\(937\) −33.3800 + 18.2269i −1.09048 + 0.595446i −0.920792 0.390053i \(-0.872457\pi\)
−0.169685 + 0.985498i \(0.554275\pi\)
\(938\) −29.3841 4.34392i −0.959424 0.141834i
\(939\) −61.0786 + 17.9343i −1.99322 + 0.585263i
\(940\) 17.8091 + 21.8483i 0.580868 + 0.712612i
\(941\) 4.17005 + 29.0033i 0.135940 + 0.945481i 0.937604 + 0.347706i \(0.113039\pi\)
−0.801664 + 0.597775i \(0.796052\pi\)
\(942\) 6.91619 + 10.8563i 0.225342 + 0.353718i
\(943\) 3.82573 + 5.14107i 0.124583 + 0.167416i
\(944\) −24.2201 28.8651i −0.788296 0.939479i
\(945\) −28.3315 + 36.1481i −0.921625 + 1.17590i
\(946\) −22.8824 + 30.3156i −0.743969 + 0.985646i
\(947\) −22.1737 12.1078i −0.720550 0.393450i 0.0767364 0.997051i \(-0.475550\pi\)
−0.797286 + 0.603601i \(0.793732\pi\)
\(948\) −62.9485 24.0496i −2.04447 0.781094i
\(949\) 6.88338 23.4426i 0.223444 0.760980i
\(950\) 7.38274 + 3.81258i 0.239528 + 0.123696i
\(951\) −21.0714 + 9.62298i −0.683287 + 0.312047i
\(952\) 24.3715 27.4585i 0.789883 0.889934i
\(953\) −1.28013 5.88468i −0.0414676 0.190624i 0.951754 0.306863i \(-0.0992795\pi\)
−0.993221 + 0.116240i \(0.962916\pi\)
\(954\) 51.5890 + 19.4753i 1.67026 + 0.630538i
\(955\) 13.4593 9.61754i 0.435532 0.311216i
\(956\) 0.678871 0.428706i 0.0219562 0.0138653i
\(957\) 46.3861 + 3.31760i 1.49945 + 0.107243i
\(958\) 16.8989 + 10.9553i 0.545979 + 0.353950i
\(959\) 16.3573 10.5122i 0.528205 0.339457i
\(960\) 2.58064 56.0830i 0.0832898 1.81007i
\(961\) −20.2830 + 23.4078i −0.654290 + 0.755091i
\(962\) 14.9764 17.1457i 0.482859 0.552799i
\(963\) −17.2937 46.3663i −0.557283 1.49413i
\(964\) 31.1821 + 9.42545i 1.00431 + 0.303573i
\(965\) −12.6387 0.280161i −0.406853 0.00901869i
\(966\) −21.4864 29.1144i −0.691314 0.936741i
\(967\) 35.2485 + 35.2485i 1.13352 + 1.13352i 0.989588 + 0.143928i \(0.0459734\pi\)
0.143928 + 0.989588i \(0.454027\pi\)
\(968\) −0.680697 + 0.191095i −0.0218784 + 0.00614203i
\(969\) −25.6159 11.6984i −0.822902 0.375807i
\(970\) 9.94371 + 9.08190i 0.319273 + 0.291602i
\(971\) −40.1845 34.8201i −1.28958 1.11743i −0.986376 0.164505i \(-0.947397\pi\)
−0.303207 0.952925i \(-0.598057\pi\)
\(972\) −2.31737 36.4678i −0.0743296 1.16971i
\(973\) −30.5781 6.65185i −0.980287 0.213248i
\(974\) 10.8716 + 50.9487i 0.348347 + 1.63250i
\(975\) −41.3008 + 32.6986i −1.32268 + 1.04719i
\(976\) −5.41883 42.4652i −0.173452 1.35928i
\(977\) −25.2050 33.6700i −0.806380 1.07720i −0.995455 0.0952353i \(-0.969640\pi\)
0.189074 0.981963i \(-0.439451\pi\)
\(978\) 91.8426 41.5033i 2.93680 1.32713i
\(979\) 3.90784 + 2.51141i 0.124895 + 0.0802651i
\(980\) 15.8608 + 9.29102i 0.506655 + 0.296791i
\(981\) −11.1111 24.3299i −0.354750 0.776794i
\(982\) −0.418123 0.192960i −0.0133428 0.00615761i
\(983\) −4.61603 + 2.52054i −0.147229 + 0.0803929i −0.551175 0.834390i \(-0.685820\pi\)
0.403946 + 0.914783i \(0.367638\pi\)
\(984\) −11.6197 + 2.38315i −0.370423 + 0.0759719i
\(985\) −12.0797 44.7888i −0.384892 1.42709i
\(986\) 29.4018 38.9529i 0.936343 1.24051i
\(987\) −20.1514 + 26.9192i −0.641428 + 0.856847i
\(988\) −7.41355 + 2.69826i −0.235857 + 0.0858431i
\(989\) 38.9006 5.47985i 1.23697 0.174249i
\(990\) −16.9049 + 68.9799i −0.537272 + 2.19233i
\(991\) −9.10945 + 1.30974i −0.289371 + 0.0416053i −0.285472 0.958387i \(-0.592150\pi\)
−0.00389944 + 0.999992i \(0.501241\pi\)
\(992\) 0.690515 + 0.622755i 0.0219239 + 0.0197725i
\(993\) −8.70787 4.75486i −0.276336 0.150891i
\(994\) −13.2457 17.8413i −0.420127 0.565893i
\(995\) −21.0213 + 10.8808i −0.666420 + 0.344945i
\(996\) 56.8366 7.71180i 1.80094 0.244358i
\(997\) −33.6096 12.5357i −1.06443 0.397011i −0.244601 0.969624i \(-0.578657\pi\)
−0.819826 + 0.572613i \(0.805930\pi\)
\(998\) −49.1076 14.6313i −1.55448 0.463146i
\(999\) 48.7426 + 31.3250i 1.54215 + 0.991078i
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 460.2.w.a.3.19 yes 1360
4.3 odd 2 inner 460.2.w.a.3.10 1360
5.2 odd 4 inner 460.2.w.a.187.52 yes 1360
20.7 even 4 inner 460.2.w.a.187.45 yes 1360
23.8 even 11 inner 460.2.w.a.123.45 yes 1360
92.31 odd 22 inner 460.2.w.a.123.52 yes 1360
115.77 odd 44 inner 460.2.w.a.307.10 yes 1360
460.307 even 44 inner 460.2.w.a.307.19 yes 1360
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
460.2.w.a.3.10 1360 4.3 odd 2 inner
460.2.w.a.3.19 yes 1360 1.1 even 1 trivial
460.2.w.a.123.45 yes 1360 23.8 even 11 inner
460.2.w.a.123.52 yes 1360 92.31 odd 22 inner
460.2.w.a.187.45 yes 1360 20.7 even 4 inner
460.2.w.a.187.52 yes 1360 5.2 odd 4 inner
460.2.w.a.307.10 yes 1360 115.77 odd 44 inner
460.2.w.a.307.19 yes 1360 460.307 even 44 inner