Properties

Label 99.2.m.b.25.4
Level $99$
Weight $2$
Character 99.25
Analytic conductor $0.791$
Analytic rank $0$
Dimension $72$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [99,2,Mod(4,99)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(99, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([10, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("99.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 99 = 3^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 99.m (of order \(15\), degree \(8\), 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: \(0.790518980011\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(9\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 25.4
Character \(\chi\) \(=\) 99.25
Dual form 99.2.m.b.4.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0603978 - 0.574647i) q^{2} +(0.641057 - 1.60905i) q^{3} +(1.62972 - 0.346409i) q^{4} +(-0.314048 + 2.98797i) q^{5} +(-0.963355 - 0.271198i) q^{6} +(-0.779082 - 0.865259i) q^{7} +(-0.654602 - 2.01466i) q^{8} +(-2.17809 - 2.06299i) q^{9} +1.73599 q^{10} +(-0.565602 + 3.26804i) q^{11} +(0.487356 - 2.84438i) q^{12} +(-3.60501 - 1.60505i) q^{13} +(-0.450163 + 0.499957i) q^{14} +(4.60647 + 2.42078i) q^{15} +(1.92600 - 0.857509i) q^{16} +(0.254185 + 0.184677i) q^{17} +(-1.05394 + 1.37623i) q^{18} +(1.96794 + 6.05670i) q^{19} +(0.523246 + 4.97835i) q^{20} +(-1.89168 + 0.698904i) q^{21} +(1.91213 + 0.127639i) q^{22} +(0.0427501 + 0.0740453i) q^{23} +(-3.66132 - 0.238222i) q^{24} +(-3.93860 - 0.837174i) q^{25} +(-0.704604 + 2.16855i) q^{26} +(-4.71573 + 2.18217i) q^{27} +(-1.56942 - 1.14025i) q^{28} +(-5.15218 - 5.72208i) q^{29} +(1.11287 - 2.79330i) q^{30} +(5.96439 + 2.65552i) q^{31} +(-2.72743 - 4.72404i) q^{32} +(4.89586 + 3.00508i) q^{33} +(0.0907715 - 0.157221i) q^{34} +(2.83004 - 2.05614i) q^{35} +(-4.26433 - 2.60759i) q^{36} +(-1.92922 + 5.93753i) q^{37} +(3.36160 - 1.49668i) q^{38} +(-4.89363 + 4.77171i) q^{39} +(6.22531 - 1.32323i) q^{40} +(3.88703 - 4.31698i) q^{41} +(0.515876 + 1.04484i) q^{42} +(3.39229 - 5.87562i) q^{43} +(0.210303 + 5.52194i) q^{44} +(6.84817 - 5.86020i) q^{45} +(0.0399679 - 0.0290384i) q^{46} +(0.320574 + 0.0681401i) q^{47} +(-0.145103 - 3.64874i) q^{48} +(0.589996 - 5.61344i) q^{49} +(-0.243197 + 2.31387i) q^{50} +(0.460101 - 0.290609i) q^{51} +(-6.43117 - 1.36699i) q^{52} +(1.96000 - 1.42402i) q^{53} +(1.53880 + 2.57808i) q^{54} +(-9.58718 - 2.71632i) q^{55} +(-1.23321 + 2.13598i) q^{56} +(11.0071 + 0.716169i) q^{57} +(-2.97699 + 3.30629i) q^{58} +(2.24586 - 0.477372i) q^{59} +(8.34586 + 2.34948i) q^{60} +(-12.5039 + 5.56709i) q^{61} +(1.16575 - 3.58780i) q^{62} +(-0.0881031 + 3.49185i) q^{63} +(0.861321 - 0.625787i) q^{64} +(5.92799 - 10.2676i) q^{65} +(1.43116 - 2.99489i) q^{66} +(-5.83989 - 10.1150i) q^{67} +(0.478226 + 0.212920i) q^{68} +(0.146548 - 0.0213198i) q^{69} +(-1.35248 - 1.50208i) q^{70} +(-7.05272 - 5.12410i) q^{71} +(-2.73043 + 5.73855i) q^{72} +(0.910538 - 2.80235i) q^{73} +(3.52850 + 0.750007i) q^{74} +(-3.87192 + 5.80073i) q^{75} +(5.30529 + 9.18904i) q^{76} +(3.26835 - 2.05668i) q^{77} +(3.03761 + 2.52391i) q^{78} +(0.928965 + 8.83851i) q^{79} +(1.95735 + 6.02412i) q^{80} +(0.488175 + 8.98675i) q^{81} +(-2.71551 - 1.97293i) q^{82} +(4.52916 - 2.01651i) q^{83} +(-2.84081 + 1.79431i) q^{84} +(-0.631634 + 0.701501i) q^{85} +(-3.58129 - 1.59449i) q^{86} +(-12.5100 + 4.62195i) q^{87} +(6.95423 - 0.999772i) q^{88} +2.12862 q^{89} +(-3.78116 - 3.58133i) q^{90} +(1.41981 + 4.36973i) q^{91} +(0.0953208 + 0.105864i) q^{92} +(8.09637 - 7.89467i) q^{93} +(0.0197945 - 0.188332i) q^{94} +(-18.7153 + 3.97805i) q^{95} +(-9.34966 + 1.36019i) q^{96} +(0.00928623 + 0.0883526i) q^{97} -3.26138 q^{98} +(7.97386 - 5.95127i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0603978 0.574647i −0.0427077 0.406337i −0.994902 0.100844i \(-0.967846\pi\)
0.952195 0.305492i \(-0.0988210\pi\)
\(3\) 0.641057 1.60905i 0.370114 0.928986i
\(4\) 1.62972 0.346409i 0.814862 0.173204i
\(5\) −0.314048 + 2.98797i −0.140447 + 1.33626i 0.666442 + 0.745557i \(0.267816\pi\)
−0.806889 + 0.590704i \(0.798850\pi\)
\(6\) −0.963355 0.271198i −0.393288 0.110716i
\(7\) −0.779082 0.865259i −0.294465 0.327037i 0.577699 0.816250i \(-0.303951\pi\)
−0.872164 + 0.489213i \(0.837284\pi\)
\(8\) −0.654602 2.01466i −0.231437 0.712289i
\(9\) −2.17809 2.06299i −0.726031 0.687662i
\(10\) 1.73599 0.548970
\(11\) −0.565602 + 3.26804i −0.170535 + 0.985352i
\(12\) 0.487356 2.84438i 0.140688 0.821101i
\(13\) −3.60501 1.60505i −0.999849 0.445161i −0.159495 0.987199i \(-0.550986\pi\)
−0.840354 + 0.542037i \(0.817653\pi\)
\(14\) −0.450163 + 0.499957i −0.120311 + 0.133619i
\(15\) 4.60647 + 2.42078i 1.18939 + 0.625042i
\(16\) 1.92600 0.857509i 0.481499 0.214377i
\(17\) 0.254185 + 0.184677i 0.0616490 + 0.0447906i 0.618183 0.786034i \(-0.287869\pi\)
−0.556534 + 0.830825i \(0.687869\pi\)
\(18\) −1.05394 + 1.37623i −0.248415 + 0.324381i
\(19\) 1.96794 + 6.05670i 0.451477 + 1.38950i 0.875222 + 0.483721i \(0.160715\pi\)
−0.423746 + 0.905781i \(0.639285\pi\)
\(20\) 0.523246 + 4.97835i 0.117001 + 1.11319i
\(21\) −1.89168 + 0.698904i −0.412799 + 0.152513i
\(22\) 1.91213 + 0.127639i 0.407668 + 0.0272126i
\(23\) 0.0427501 + 0.0740453i 0.00891401 + 0.0154395i 0.870448 0.492260i \(-0.163829\pi\)
−0.861534 + 0.507700i \(0.830496\pi\)
\(24\) −3.66132 0.238222i −0.747365 0.0486268i
\(25\) −3.93860 0.837174i −0.787719 0.167435i
\(26\) −0.704604 + 2.16855i −0.138184 + 0.425287i
\(27\) −4.71573 + 2.18217i −0.907543 + 0.419959i
\(28\) −1.56942 1.14025i −0.296593 0.215487i
\(29\) −5.15218 5.72208i −0.956737 1.06256i −0.997987 0.0634149i \(-0.979801\pi\)
0.0412506 0.999149i \(-0.486866\pi\)
\(30\) 1.11287 2.79330i 0.203182 0.509985i
\(31\) 5.96439 + 2.65552i 1.07124 + 0.476945i 0.865111 0.501581i \(-0.167248\pi\)
0.206125 + 0.978526i \(0.433915\pi\)
\(32\) −2.72743 4.72404i −0.482146 0.835101i
\(33\) 4.89586 + 3.00508i 0.852260 + 0.523118i
\(34\) 0.0907715 0.157221i 0.0155672 0.0269632i
\(35\) 2.83004 2.05614i 0.478363 0.347551i
\(36\) −4.26433 2.60759i −0.710721 0.434598i
\(37\) −1.92922 + 5.93753i −0.317162 + 0.976124i 0.657694 + 0.753286i \(0.271532\pi\)
−0.974855 + 0.222838i \(0.928468\pi\)
\(38\) 3.36160 1.49668i 0.545324 0.242794i
\(39\) −4.89363 + 4.77171i −0.783607 + 0.764085i
\(40\) 6.22531 1.32323i 0.984308 0.209221i
\(41\) 3.88703 4.31698i 0.607052 0.674199i −0.358764 0.933428i \(-0.616802\pi\)
0.965816 + 0.259229i \(0.0834685\pi\)
\(42\) 0.515876 + 1.04484i 0.0796014 + 0.161222i
\(43\) 3.39229 5.87562i 0.517320 0.896024i −0.482478 0.875908i \(-0.660263\pi\)
0.999798 0.0201157i \(-0.00640347\pi\)
\(44\) 0.210303 + 5.52194i 0.0317043 + 0.832463i
\(45\) 6.84817 5.86020i 1.02086 0.873587i
\(46\) 0.0399679 0.0290384i 0.00589294 0.00428147i
\(47\) 0.320574 + 0.0681401i 0.0467605 + 0.00993925i 0.231233 0.972899i \(-0.425724\pi\)
−0.184472 + 0.982838i \(0.559058\pi\)
\(48\) −0.145103 3.64874i −0.0209438 0.526650i
\(49\) 0.589996 5.61344i 0.0842852 0.801920i
\(50\) −0.243197 + 2.31387i −0.0343933 + 0.327230i
\(51\) 0.460101 0.290609i 0.0644271 0.0406935i
\(52\) −6.43117 1.36699i −0.891843 0.189567i
\(53\) 1.96000 1.42402i 0.269227 0.195605i −0.444978 0.895541i \(-0.646789\pi\)
0.714205 + 0.699937i \(0.246789\pi\)
\(54\) 1.53880 + 2.57808i 0.209404 + 0.350832i
\(55\) −9.58718 2.71632i −1.29274 0.366269i
\(56\) −1.23321 + 2.13598i −0.164795 + 0.285433i
\(57\) 11.0071 + 0.716169i 1.45793 + 0.0948590i
\(58\) −2.97699 + 3.30629i −0.390899 + 0.434137i
\(59\) 2.24586 0.477372i 0.292386 0.0621485i −0.0593835 0.998235i \(-0.518913\pi\)
0.351769 + 0.936087i \(0.385580\pi\)
\(60\) 8.34586 + 2.34948i 1.07745 + 0.303316i
\(61\) −12.5039 + 5.56709i −1.60096 + 0.712792i −0.996480 0.0838297i \(-0.973285\pi\)
−0.604478 + 0.796622i \(0.706618\pi\)
\(62\) 1.16575 3.58780i 0.148050 0.455652i
\(63\) −0.0881031 + 3.49185i −0.0110999 + 0.439932i
\(64\) 0.861321 0.625787i 0.107665 0.0782233i
\(65\) 5.92799 10.2676i 0.735277 1.27354i
\(66\) 1.43116 2.99489i 0.176164 0.368646i
\(67\) −5.83989 10.1150i −0.713456 1.23574i −0.963552 0.267521i \(-0.913795\pi\)
0.250096 0.968221i \(-0.419538\pi\)
\(68\) 0.478226 + 0.212920i 0.0579934 + 0.0258203i
\(69\) 0.146548 0.0213198i 0.0176423 0.00256661i
\(70\) −1.35248 1.50208i −0.161653 0.179533i
\(71\) −7.05272 5.12410i −0.837004 0.608119i 0.0845279 0.996421i \(-0.473062\pi\)
−0.921532 + 0.388302i \(0.873062\pi\)
\(72\) −2.73043 + 5.73855i −0.321784 + 0.676294i
\(73\) 0.910538 2.80235i 0.106570 0.327990i −0.883525 0.468383i \(-0.844837\pi\)
0.990096 + 0.140393i \(0.0448367\pi\)
\(74\) 3.52850 + 0.750007i 0.410180 + 0.0871865i
\(75\) −3.87192 + 5.80073i −0.447091 + 0.669810i
\(76\) 5.30529 + 9.18904i 0.608559 + 1.05405i
\(77\) 3.26835 2.05668i 0.372463 0.234381i
\(78\) 3.03761 + 2.52391i 0.343942 + 0.285776i
\(79\) 0.928965 + 8.83851i 0.104517 + 0.994410i 0.913572 + 0.406677i \(0.133313\pi\)
−0.809055 + 0.587733i \(0.800021\pi\)
\(80\) 1.95735 + 6.02412i 0.218839 + 0.673517i
\(81\) 0.488175 + 8.98675i 0.0542417 + 0.998528i
\(82\) −2.71551 1.97293i −0.299878 0.217874i
\(83\) 4.52916 2.01651i 0.497140 0.221341i −0.142821 0.989749i \(-0.545617\pi\)
0.639961 + 0.768408i \(0.278951\pi\)
\(84\) −2.84081 + 1.79431i −0.309958 + 0.195776i
\(85\) −0.631634 + 0.701501i −0.0685104 + 0.0760885i
\(86\) −3.58129 1.59449i −0.386181 0.171939i
\(87\) −12.5100 + 4.62195i −1.34121 + 0.495525i
\(88\) 6.95423 0.999772i 0.741323 0.106576i
\(89\) 2.12862 0.225634 0.112817 0.993616i \(-0.464013\pi\)
0.112817 + 0.993616i \(0.464013\pi\)
\(90\) −3.78116 3.58133i −0.398569 0.377506i
\(91\) 1.41981 + 4.36973i 0.148837 + 0.458072i
\(92\) 0.0953208 + 0.105864i 0.00993788 + 0.0110371i
\(93\) 8.09637 7.89467i 0.839555 0.818639i
\(94\) 0.0197945 0.188332i 0.00204165 0.0194250i
\(95\) −18.7153 + 3.97805i −1.92014 + 0.408139i
\(96\) −9.34966 + 1.36019i −0.954246 + 0.138824i
\(97\) 0.00928623 + 0.0883526i 0.000942874 + 0.00897084i 0.994983 0.100042i \(-0.0318977\pi\)
−0.994040 + 0.109013i \(0.965231\pi\)
\(98\) −3.26138 −0.329449
\(99\) 7.97386 5.95127i 0.801403 0.598125i
\(100\) −6.70883 −0.670883
\(101\) 0.214961 + 2.04522i 0.0213894 + 0.203507i 0.999998 0.00222652i \(-0.000708725\pi\)
−0.978608 + 0.205733i \(0.934042\pi\)
\(102\) −0.194787 0.246844i −0.0192868 0.0244412i
\(103\) 2.95079 0.627210i 0.290750 0.0618009i −0.0602275 0.998185i \(-0.519183\pi\)
0.350978 + 0.936384i \(0.385849\pi\)
\(104\) −0.873787 + 8.31352i −0.0856818 + 0.815208i
\(105\) −1.49422 5.87178i −0.145821 0.573027i
\(106\) −0.936690 1.04030i −0.0909794 0.101043i
\(107\) 3.70600 + 11.4059i 0.358272 + 1.10265i 0.954088 + 0.299527i \(0.0968290\pi\)
−0.595815 + 0.803121i \(0.703171\pi\)
\(108\) −6.92942 + 5.18991i −0.666784 + 0.499399i
\(109\) 5.20013 0.498082 0.249041 0.968493i \(-0.419885\pi\)
0.249041 + 0.968493i \(0.419885\pi\)
\(110\) −0.981882 + 5.67330i −0.0936187 + 0.540928i
\(111\) 8.31705 + 6.91051i 0.789420 + 0.655916i
\(112\) −2.24248 0.998415i −0.211894 0.0943414i
\(113\) 12.8657 14.2889i 1.21031 1.34418i 0.288046 0.957617i \(-0.406995\pi\)
0.922262 0.386566i \(-0.126339\pi\)
\(114\) −0.253260 6.36845i −0.0237200 0.596460i
\(115\) −0.234671 + 0.104482i −0.0218832 + 0.00974301i
\(116\) −10.3788 7.54065i −0.963649 0.700132i
\(117\) 4.54084 + 10.9330i 0.419801 + 1.01076i
\(118\) −0.409965 1.26174i −0.0377403 0.116153i
\(119\) −0.0382384 0.363814i −0.00350531 0.0333508i
\(120\) 1.86163 10.8651i 0.169943 0.991844i
\(121\) −10.3602 3.69682i −0.941835 0.336074i
\(122\) 3.95432 + 6.84907i 0.358007 + 0.620086i
\(123\) −4.45444 9.02185i −0.401643 0.813473i
\(124\) 10.6402 + 2.26164i 0.955518 + 0.203102i
\(125\) −0.903736 + 2.78141i −0.0808326 + 0.248777i
\(126\) 2.01190 0.160272i 0.179234 0.0142782i
\(127\) 10.6652 + 7.74873i 0.946384 + 0.687588i 0.949949 0.312405i \(-0.101135\pi\)
−0.00356461 + 0.999994i \(0.501135\pi\)
\(128\) −7.71165 8.56465i −0.681620 0.757015i
\(129\) −7.27952 9.22498i −0.640926 0.812214i
\(130\) −6.25827 2.78636i −0.548887 0.244380i
\(131\) 8.98588 + 15.5640i 0.785100 + 1.35983i 0.928939 + 0.370233i \(0.120722\pi\)
−0.143839 + 0.989601i \(0.545945\pi\)
\(132\) 9.01989 + 3.20149i 0.785081 + 0.278654i
\(133\) 3.70742 6.42144i 0.321474 0.556810i
\(134\) −5.45983 + 3.96680i −0.471657 + 0.342679i
\(135\) −5.03930 14.7758i −0.433713 1.27170i
\(136\) 0.205670 0.632986i 0.0176360 0.0542781i
\(137\) −14.9837 + 6.67119i −1.28015 + 0.569958i −0.930283 0.366842i \(-0.880439\pi\)
−0.349864 + 0.936801i \(0.613772\pi\)
\(138\) −0.0211026 0.0829256i −0.00179637 0.00705910i
\(139\) 11.6415 2.47448i 0.987421 0.209883i 0.314226 0.949348i \(-0.398255\pi\)
0.673195 + 0.739465i \(0.264922\pi\)
\(140\) 3.89991 4.33129i 0.329603 0.366061i
\(141\) 0.315147 0.472138i 0.0265402 0.0397612i
\(142\) −2.51858 + 4.36231i −0.211355 + 0.366077i
\(143\) 7.28438 10.8735i 0.609150 0.909287i
\(144\) −5.96403 2.10557i −0.497002 0.175464i
\(145\) 18.7154 13.5976i 1.55423 1.12922i
\(146\) −1.66535 0.353982i −0.137826 0.0292958i
\(147\) −8.65409 4.54787i −0.713777 0.375102i
\(148\) −1.08729 + 10.3448i −0.0893744 + 0.850340i
\(149\) 0.473693 4.50689i 0.0388065 0.369219i −0.957834 0.287321i \(-0.907235\pi\)
0.996641 0.0818976i \(-0.0260980\pi\)
\(150\) 3.56722 + 1.87464i 0.291263 + 0.153063i
\(151\) 2.86682 + 0.609361i 0.233298 + 0.0495891i 0.323077 0.946373i \(-0.395283\pi\)
−0.0897788 + 0.995962i \(0.528616\pi\)
\(152\) 10.9140 7.92945i 0.885239 0.643164i
\(153\) −0.172654 0.926624i −0.0139583 0.0749131i
\(154\) −1.37927 1.75393i −0.111144 0.141336i
\(155\) −9.80771 + 16.9874i −0.787774 + 1.36446i
\(156\) −6.32230 + 9.47177i −0.506189 + 0.758348i
\(157\) −12.0802 + 13.4165i −0.964108 + 1.07075i 0.0333460 + 0.999444i \(0.489384\pi\)
−0.997454 + 0.0713070i \(0.977283\pi\)
\(158\) 5.02291 1.06765i 0.399602 0.0849379i
\(159\) −1.03486 4.06662i −0.0820694 0.322504i
\(160\) 14.9718 6.66589i 1.18363 0.526985i
\(161\) 0.0307625 0.0946773i 0.00242443 0.00746161i
\(162\) 5.13472 0.823308i 0.403422 0.0646852i
\(163\) 4.71129 3.42295i 0.369017 0.268106i −0.387786 0.921749i \(-0.626760\pi\)
0.756803 + 0.653643i \(0.226760\pi\)
\(164\) 4.83934 8.38199i 0.377889 0.654523i
\(165\) −10.5166 + 13.6849i −0.818719 + 1.06537i
\(166\) −1.43233 2.48087i −0.111171 0.192553i
\(167\) −4.58758 2.04252i −0.354997 0.158055i 0.221487 0.975163i \(-0.428909\pi\)
−0.576484 + 0.817108i \(0.695576\pi\)
\(168\) 2.64635 + 3.35359i 0.204170 + 0.258735i
\(169\) 1.72118 + 1.91157i 0.132399 + 0.147044i
\(170\) 0.441265 + 0.320598i 0.0338435 + 0.0245887i
\(171\) 8.20853 17.2519i 0.627722 1.31928i
\(172\) 3.49313 10.7508i 0.266349 0.819738i
\(173\) 15.2492 + 3.24131i 1.15937 + 0.246433i 0.747153 0.664652i \(-0.231420\pi\)
0.412221 + 0.911084i \(0.364753\pi\)
\(174\) 3.41156 + 6.90966i 0.258630 + 0.523820i
\(175\) 2.34412 + 4.06013i 0.177199 + 0.306917i
\(176\) 1.71303 + 6.77925i 0.129124 + 0.511005i
\(177\) 0.671606 3.91972i 0.0504810 0.294624i
\(178\) −0.128564 1.22321i −0.00963629 0.0916832i
\(179\) 2.17822 + 6.70387i 0.162808 + 0.501071i 0.998868 0.0475668i \(-0.0151467\pi\)
−0.836060 + 0.548638i \(0.815147\pi\)
\(180\) 9.13060 11.9228i 0.680555 0.888671i
\(181\) −2.02068 1.46811i −0.150196 0.109124i 0.510149 0.860086i \(-0.329590\pi\)
−0.660345 + 0.750962i \(0.729590\pi\)
\(182\) 2.42530 1.07981i 0.179775 0.0800410i
\(183\) 0.942032 + 23.6882i 0.0696370 + 1.75108i
\(184\) 0.121192 0.134597i 0.00893437 0.00992262i
\(185\) −17.1353 7.62912i −1.25981 0.560904i
\(186\) −5.02565 4.17573i −0.368499 0.306180i
\(187\) −0.747298 + 0.726235i −0.0546479 + 0.0531076i
\(188\) 0.546051 0.0398249
\(189\) 5.56209 + 2.38024i 0.404582 + 0.173137i
\(190\) 3.41633 + 10.5144i 0.247847 + 0.762795i
\(191\) −7.91112 8.78619i −0.572428 0.635746i 0.385516 0.922701i \(-0.374024\pi\)
−0.957944 + 0.286955i \(0.907357\pi\)
\(192\) −0.454767 1.78707i −0.0328200 0.128971i
\(193\) −0.705218 + 6.70970i −0.0507627 + 0.482975i 0.939376 + 0.342887i \(0.111405\pi\)
−0.990139 + 0.140087i \(0.955262\pi\)
\(194\) 0.0502106 0.0106726i 0.00360491 0.000766248i
\(195\) −12.7209 16.1206i −0.910962 1.15442i
\(196\) −0.983012 9.35274i −0.0702152 0.668053i
\(197\) −20.6474 −1.47107 −0.735534 0.677488i \(-0.763069\pi\)
−0.735534 + 0.677488i \(0.763069\pi\)
\(198\) −3.90148 4.22271i −0.277266 0.300095i
\(199\) −13.2862 −0.941832 −0.470916 0.882178i \(-0.656077\pi\)
−0.470916 + 0.882178i \(0.656077\pi\)
\(200\) 0.891593 + 8.48294i 0.0630451 + 0.599834i
\(201\) −20.0192 + 2.91240i −1.41205 + 0.205425i
\(202\) 1.16229 0.247053i 0.0817788 0.0173826i
\(203\) −0.937103 + 8.91594i −0.0657718 + 0.625777i
\(204\) 0.649169 0.632996i 0.0454509 0.0443186i
\(205\) 11.6783 + 12.9701i 0.815647 + 0.905868i
\(206\) −0.538646 1.65778i −0.0375292 0.115503i
\(207\) 0.0596408 0.249470i 0.00414532 0.0173394i
\(208\) −8.31958 −0.576859
\(209\) −20.9066 + 3.00563i −1.44614 + 0.207904i
\(210\) −3.28395 + 1.21329i −0.226614 + 0.0837252i
\(211\) −7.62355 3.39422i −0.524827 0.233668i 0.127182 0.991879i \(-0.459407\pi\)
−0.652009 + 0.758211i \(0.726074\pi\)
\(212\) 2.70097 2.99973i 0.185503 0.206022i
\(213\) −12.7661 + 8.06335i −0.874722 + 0.552492i
\(214\) 6.33052 2.81853i 0.432746 0.192671i
\(215\) 16.4908 + 11.9813i 1.12467 + 0.817117i
\(216\) 7.48326 + 8.07213i 0.509171 + 0.549239i
\(217\) −2.34904 7.22960i −0.159463 0.490778i
\(218\) −0.314076 2.98824i −0.0212719 0.202389i
\(219\) −3.92541 3.26156i −0.265255 0.220396i
\(220\) −16.5654 1.10578i −1.11684 0.0745514i
\(221\) −0.619925 1.07374i −0.0417007 0.0722277i
\(222\) 3.46877 5.19675i 0.232809 0.348783i
\(223\) 0.375272 + 0.0797665i 0.0251301 + 0.00534156i 0.220460 0.975396i \(-0.429244\pi\)
−0.195330 + 0.980738i \(0.562578\pi\)
\(224\) −1.96263 + 6.04035i −0.131134 + 0.403588i
\(225\) 6.85155 + 9.94871i 0.456770 + 0.663248i
\(226\) −8.98811 6.53024i −0.597880 0.434385i
\(227\) 12.0537 + 13.3870i 0.800035 + 0.888529i 0.995747 0.0921329i \(-0.0293685\pi\)
−0.195712 + 0.980661i \(0.562702\pi\)
\(228\) 18.1866 2.64580i 1.20444 0.175222i
\(229\) 12.2670 + 5.46161i 0.810624 + 0.360913i 0.769826 0.638254i \(-0.220343\pi\)
0.0407985 + 0.999167i \(0.487010\pi\)
\(230\) 0.0742139 + 0.128542i 0.00489352 + 0.00847583i
\(231\) −1.21411 6.57739i −0.0798824 0.432761i
\(232\) −8.15540 + 14.1256i −0.535428 + 0.927389i
\(233\) 2.72611 1.98063i 0.178593 0.129756i −0.494897 0.868952i \(-0.664794\pi\)
0.673490 + 0.739196i \(0.264794\pi\)
\(234\) 6.00838 3.26971i 0.392780 0.213748i
\(235\) −0.304276 + 0.936466i −0.0198488 + 0.0610883i
\(236\) 3.49476 1.55597i 0.227490 0.101285i
\(237\) 14.8171 + 4.17123i 0.962476 + 0.270951i
\(238\) −0.206755 + 0.0439472i −0.0134020 + 0.00284867i
\(239\) −15.5217 + 17.2386i −1.00401 + 1.11507i −0.0106638 + 0.999943i \(0.503394\pi\)
−0.993351 + 0.115128i \(0.963272\pi\)
\(240\) 10.9479 + 0.712317i 0.706683 + 0.0459799i
\(241\) −7.58206 + 13.1325i −0.488404 + 0.845940i −0.999911 0.0133389i \(-0.995754\pi\)
0.511507 + 0.859279i \(0.329087\pi\)
\(242\) −1.49863 + 6.17673i −0.0963358 + 0.397055i
\(243\) 14.7731 + 4.97552i 0.947694 + 0.319180i
\(244\) −18.4494 + 13.4043i −1.18110 + 0.858120i
\(245\) 16.5875 + 3.52578i 1.05974 + 0.225254i
\(246\) −4.91534 + 3.10463i −0.313391 + 0.197944i
\(247\) 2.62688 24.9931i 0.167144 1.59027i
\(248\) 1.44566 13.7545i 0.0917993 0.873412i
\(249\) −0.341223 8.58035i −0.0216241 0.543758i
\(250\) 1.65291 + 0.351338i 0.104539 + 0.0222205i
\(251\) 0.471095 0.342271i 0.0297353 0.0216039i −0.572818 0.819682i \(-0.694150\pi\)
0.602554 + 0.798078i \(0.294150\pi\)
\(252\) 1.06602 + 5.72127i 0.0671531 + 0.360406i
\(253\) −0.266163 + 0.0978289i −0.0167335 + 0.00615045i
\(254\) 3.80863 6.59673i 0.238974 0.413916i
\(255\) 0.723838 + 1.46603i 0.0453285 + 0.0918066i
\(256\) −3.03110 + 3.36638i −0.189444 + 0.210399i
\(257\) 10.7317 2.28109i 0.669423 0.142290i 0.139351 0.990243i \(-0.455498\pi\)
0.530072 + 0.847953i \(0.322165\pi\)
\(258\) −4.86144 + 4.74032i −0.302660 + 0.295120i
\(259\) 6.64052 2.95655i 0.412622 0.183711i
\(260\) 6.10421 18.7868i 0.378567 1.16511i
\(261\) −0.582638 + 23.0921i −0.0360644 + 1.42937i
\(262\) 8.40108 6.10374i 0.519020 0.377090i
\(263\) 7.19768 12.4668i 0.443828 0.768733i −0.554142 0.832422i \(-0.686953\pi\)
0.997970 + 0.0636896i \(0.0202868\pi\)
\(264\) 2.84937 11.8306i 0.175367 0.728124i
\(265\) 3.63940 + 6.30363i 0.223567 + 0.387229i
\(266\) −3.91398 1.74262i −0.239982 0.106847i
\(267\) 1.36457 3.42506i 0.0835102 0.209611i
\(268\) −13.0213 14.4617i −0.795404 0.883386i
\(269\) −0.395590 0.287413i −0.0241195 0.0175239i 0.575660 0.817689i \(-0.304745\pi\)
−0.599780 + 0.800165i \(0.704745\pi\)
\(270\) −8.18649 + 3.78824i −0.498214 + 0.230545i
\(271\) 6.77950 20.8652i 0.411825 1.26747i −0.503234 0.864150i \(-0.667857\pi\)
0.915060 0.403318i \(-0.132143\pi\)
\(272\) 0.647922 + 0.137720i 0.0392861 + 0.00835051i
\(273\) 7.94130 + 0.516695i 0.480629 + 0.0312718i
\(274\) 4.73856 + 8.20743i 0.286267 + 0.495829i
\(275\) 4.96360 12.3980i 0.299316 0.747627i
\(276\) 0.231447 0.0855109i 0.0139315 0.00514715i
\(277\) −0.299947 2.85381i −0.0180221 0.171469i 0.981809 0.189874i \(-0.0608078\pi\)
−0.999831 + 0.0184051i \(0.994141\pi\)
\(278\) −2.12508 6.54031i −0.127454 0.392262i
\(279\) −7.51270 18.0884i −0.449773 1.08292i
\(280\) −5.99497 4.35560i −0.358268 0.260297i
\(281\) 16.6065 7.39368i 0.990660 0.441070i 0.153571 0.988138i \(-0.450922\pi\)
0.837089 + 0.547067i \(0.184256\pi\)
\(282\) −0.290347 0.152582i −0.0172899 0.00908613i
\(283\) −13.7420 + 15.2620i −0.816878 + 0.907235i −0.997078 0.0763955i \(-0.975659\pi\)
0.180200 + 0.983630i \(0.442326\pi\)
\(284\) −13.2690 5.90775i −0.787372 0.350561i
\(285\) −5.59665 + 32.6640i −0.331517 + 1.93485i
\(286\) −6.68838 3.52921i −0.395492 0.208686i
\(287\) −6.76362 −0.399244
\(288\) −3.80505 + 15.9160i −0.224214 + 0.937862i
\(289\) −5.22278 16.0741i −0.307223 0.945534i
\(290\) −8.94417 9.93350i −0.525219 0.583315i
\(291\) 0.148117 + 0.0416970i 0.00868276 + 0.00244432i
\(292\) 0.513168 4.88247i 0.0300309 0.285725i
\(293\) −0.841272 + 0.178818i −0.0491476 + 0.0104467i −0.232420 0.972616i \(-0.574664\pi\)
0.183272 + 0.983062i \(0.441331\pi\)
\(294\) −2.09073 + 5.24773i −0.121934 + 0.306054i
\(295\) 0.721065 + 6.86047i 0.0419820 + 0.399432i
\(296\) 13.2250 0.768685
\(297\) −4.46420 16.6454i −0.259039 0.965867i
\(298\) −2.61848 −0.151684
\(299\) −0.0352677 0.335550i −0.00203959 0.0194054i
\(300\) −4.30074 + 10.7949i −0.248303 + 0.623241i
\(301\) −7.72681 + 1.64238i −0.445366 + 0.0946654i
\(302\) 0.177018 1.68421i 0.0101862 0.0969155i
\(303\) 3.42866 + 0.965217i 0.196972 + 0.0554503i
\(304\) 8.98392 + 9.97766i 0.515263 + 0.572258i
\(305\) −12.7075 39.1095i −0.727627 2.23941i
\(306\) −0.522053 + 0.155181i −0.0298438 + 0.00887112i
\(307\) 3.48920 0.199139 0.0995696 0.995031i \(-0.468253\pi\)
0.0995696 + 0.995031i \(0.468253\pi\)
\(308\) 4.61406 4.48401i 0.262910 0.255500i
\(309\) 0.882412 5.15005i 0.0501986 0.292976i
\(310\) 10.3541 + 4.60996i 0.588076 + 0.261828i
\(311\) 7.25692 8.05963i 0.411502 0.457020i −0.501389 0.865222i \(-0.667178\pi\)
0.912892 + 0.408202i \(0.133844\pi\)
\(312\) 12.8167 + 6.73541i 0.725605 + 0.381317i
\(313\) −25.8360 + 11.5029i −1.46034 + 0.650185i −0.974607 0.223923i \(-0.928114\pi\)
−0.485732 + 0.874108i \(0.661447\pi\)
\(314\) 8.43935 + 6.13155i 0.476260 + 0.346023i
\(315\) −10.4059 1.35986i −0.586304 0.0766193i
\(316\) 4.57569 + 14.0825i 0.257403 + 0.792204i
\(317\) 0.116291 + 1.10643i 0.00653154 + 0.0621434i 0.997302 0.0734057i \(-0.0233868\pi\)
−0.990771 + 0.135549i \(0.956720\pi\)
\(318\) −2.27437 + 0.840291i −0.127540 + 0.0471212i
\(319\) 21.6141 13.6011i 1.21016 0.761517i
\(320\) 1.59933 + 2.77013i 0.0894055 + 0.154855i
\(321\) 20.7284 + 1.34868i 1.15695 + 0.0752760i
\(322\) −0.0562640 0.0119593i −0.00313547 0.000666464i
\(323\) −0.618308 + 1.90296i −0.0344036 + 0.105883i
\(324\) 3.90868 + 14.4768i 0.217149 + 0.804268i
\(325\) 12.8550 + 9.33967i 0.713065 + 0.518072i
\(326\) −2.25154 2.50059i −0.124701 0.138495i
\(327\) 3.33358 8.36727i 0.184347 0.462711i
\(328\) −11.2417 5.00512i −0.620719 0.276362i
\(329\) −0.190795 0.330466i −0.0105188 0.0182192i
\(330\) 8.49919 + 5.21681i 0.467865 + 0.287176i
\(331\) 6.18915 10.7199i 0.340187 0.589221i −0.644281 0.764789i \(-0.722843\pi\)
0.984467 + 0.175569i \(0.0561764\pi\)
\(332\) 6.68275 4.85530i 0.366763 0.266469i
\(333\) 16.4511 8.95254i 0.901513 0.490596i
\(334\) −0.896648 + 2.75960i −0.0490624 + 0.150999i
\(335\) 32.0573 14.2728i 1.75148 0.779807i
\(336\) −3.04406 + 2.96822i −0.166067 + 0.161930i
\(337\) −13.1792 + 2.80132i −0.717916 + 0.152598i −0.552364 0.833603i \(-0.686274\pi\)
−0.165552 + 0.986201i \(0.552941\pi\)
\(338\) 0.994521 1.10453i 0.0540948 0.0600783i
\(339\) −14.7438 29.8616i −0.800775 1.62186i
\(340\) −0.786384 + 1.36206i −0.0426477 + 0.0738679i
\(341\) −12.0518 + 17.9899i −0.652642 + 0.974208i
\(342\) −10.4095 3.67503i −0.562882 0.198723i
\(343\) −11.9104 + 8.65342i −0.643102 + 0.467241i
\(344\) −14.0580 2.98811i −0.757955 0.161108i
\(345\) 0.0176799 + 0.444576i 0.000951853 + 0.0239352i
\(346\) 0.941593 8.95866i 0.0506204 0.481621i
\(347\) −1.01802 + 9.68582i −0.0546502 + 0.519962i 0.932614 + 0.360875i \(0.117522\pi\)
−0.987265 + 0.159087i \(0.949145\pi\)
\(348\) −18.7867 + 11.8661i −1.00707 + 0.636088i
\(349\) 4.34317 + 0.923168i 0.232484 + 0.0494161i 0.322680 0.946508i \(-0.395416\pi\)
−0.0901962 + 0.995924i \(0.528749\pi\)
\(350\) 2.19156 1.59226i 0.117144 0.0851100i
\(351\) 20.5027 0.297748i 1.09436 0.0158926i
\(352\) 16.9810 6.24142i 0.905090 0.332669i
\(353\) −16.2618 + 28.1662i −0.865527 + 1.49914i 0.000996749 1.00000i \(0.499683\pi\)
−0.866523 + 0.499137i \(0.833651\pi\)
\(354\) −2.29302 0.149194i −0.121873 0.00792956i
\(355\) 17.5256 19.4641i 0.930160 1.03305i
\(356\) 3.46907 0.737373i 0.183860 0.0390807i
\(357\) −0.609909 0.171698i −0.0322798 0.00908722i
\(358\) 3.72080 1.65661i 0.196650 0.0875543i
\(359\) −8.58143 + 26.4109i −0.452911 + 1.39392i 0.420660 + 0.907218i \(0.361799\pi\)
−0.873571 + 0.486697i \(0.838201\pi\)
\(360\) −16.2891 9.96061i −0.858512 0.524970i
\(361\) −17.4395 + 12.6705i −0.917868 + 0.666870i
\(362\) −0.721600 + 1.24985i −0.0379264 + 0.0656905i
\(363\) −12.5898 + 14.3002i −0.660795 + 0.750566i
\(364\) 3.82761 + 6.62962i 0.200621 + 0.347487i
\(365\) 8.08737 + 3.60073i 0.423312 + 0.188471i
\(366\) 13.5555 1.97205i 0.708555 0.103081i
\(367\) 0.784353 + 0.871112i 0.0409429 + 0.0454717i 0.763268 0.646082i \(-0.223593\pi\)
−0.722326 + 0.691553i \(0.756927\pi\)
\(368\) 0.145831 + 0.105952i 0.00760197 + 0.00552315i
\(369\) −17.3722 + 1.38390i −0.904359 + 0.0720430i
\(370\) −3.34912 + 10.3075i −0.174112 + 0.535862i
\(371\) −2.75915 0.586475i −0.143248 0.0304483i
\(372\) 10.4601 15.6708i 0.542330 0.812493i
\(373\) −10.8834 18.8506i −0.563520 0.976046i −0.997186 0.0749719i \(-0.976113\pi\)
0.433665 0.901074i \(-0.357220\pi\)
\(374\) 0.462464 + 0.385570i 0.0239134 + 0.0199373i
\(375\) 3.89609 + 3.23720i 0.201193 + 0.167168i
\(376\) −0.0725693 0.690451i −0.00374248 0.0356073i
\(377\) 9.38942 + 28.8977i 0.483580 + 1.48831i
\(378\) 1.03186 3.34000i 0.0530730 0.171791i
\(379\) 13.1440 + 9.54967i 0.675161 + 0.490533i 0.871749 0.489953i \(-0.162986\pi\)
−0.196588 + 0.980486i \(0.562986\pi\)
\(380\) −29.1227 + 12.9663i −1.49396 + 0.665155i
\(381\) 19.3051 12.1935i 0.989031 0.624692i
\(382\) −4.57114 + 5.07676i −0.233880 + 0.259750i
\(383\) 5.65791 + 2.51906i 0.289105 + 0.128718i 0.546165 0.837677i \(-0.316087\pi\)
−0.257060 + 0.966396i \(0.582754\pi\)
\(384\) −18.7246 + 6.91801i −0.955534 + 0.353033i
\(385\) 5.11888 + 10.4116i 0.260882 + 0.530626i
\(386\) 3.89830 0.198418
\(387\) −19.5100 + 5.79940i −0.991752 + 0.294800i
\(388\) 0.0457401 + 0.140773i 0.00232210 + 0.00714669i
\(389\) −0.483924 0.537452i −0.0245359 0.0272499i 0.730752 0.682643i \(-0.239170\pi\)
−0.755288 + 0.655393i \(0.772503\pi\)
\(390\) −8.49531 + 8.28367i −0.430177 + 0.419460i
\(391\) −0.00280798 + 0.0267162i −0.000142006 + 0.00135110i
\(392\) −11.6954 + 2.48593i −0.590705 + 0.125558i
\(393\) 30.8037 4.48134i 1.55384 0.226054i
\(394\) 1.24706 + 11.8650i 0.0628259 + 0.597749i
\(395\) −26.7009 −1.34347
\(396\) 10.9336 12.4611i 0.549435 0.626196i
\(397\) 4.08994 0.205268 0.102634 0.994719i \(-0.467273\pi\)
0.102634 + 0.994719i \(0.467273\pi\)
\(398\) 0.802456 + 7.63486i 0.0402235 + 0.382701i
\(399\) −7.95577 10.0819i −0.398286 0.504728i
\(400\) −8.30361 + 1.76499i −0.415180 + 0.0882493i
\(401\) 0.590196 5.61534i 0.0294730 0.280417i −0.969852 0.243693i \(-0.921641\pi\)
0.999325 0.0367238i \(-0.0116922\pi\)
\(402\) 2.88272 + 11.3281i 0.143777 + 0.564994i
\(403\) −17.2394 19.1463i −0.858757 0.953746i
\(404\) 1.05881 + 3.25868i 0.0526777 + 0.162125i
\(405\) −27.0054 1.36362i −1.34191 0.0677588i
\(406\) 5.18012 0.257085
\(407\) −18.3129 9.66305i −0.907738 0.478980i
\(408\) −0.886662 0.736713i −0.0438963 0.0364727i
\(409\) 8.63188 + 3.84316i 0.426819 + 0.190032i 0.608892 0.793253i \(-0.291614\pi\)
−0.182073 + 0.983285i \(0.558281\pi\)
\(410\) 6.74786 7.49426i 0.333253 0.370115i
\(411\) 1.12886 + 28.3862i 0.0556827 + 1.40019i
\(412\) 4.59171 2.04436i 0.226217 0.100718i
\(413\) −2.16276 1.57134i −0.106422 0.0773204i
\(414\) −0.146960 0.0192049i −0.00722267 0.000943871i
\(415\) 4.60290 + 14.1663i 0.225948 + 0.695395i
\(416\) 2.25006 + 21.4079i 0.110318 + 1.04961i
\(417\) 3.48131 20.3181i 0.170480 0.994981i
\(418\) 2.98989 + 11.8324i 0.146240 + 0.578741i
\(419\) −0.0757820 0.131258i −0.00370219 0.00641238i 0.864168 0.503203i \(-0.167845\pi\)
−0.867871 + 0.496790i \(0.834512\pi\)
\(420\) −4.46921 9.05176i −0.218075 0.441681i
\(421\) −16.6056 3.52962i −0.809306 0.172023i −0.215367 0.976533i \(-0.569095\pi\)
−0.593939 + 0.804510i \(0.702428\pi\)
\(422\) −1.49003 + 4.58585i −0.0725337 + 0.223236i
\(423\) −0.557668 0.809755i −0.0271147 0.0393716i
\(424\) −4.15194 3.01656i −0.201636 0.146497i
\(425\) −0.846527 0.940164i −0.0410626 0.0456047i
\(426\) 5.40463 + 6.84901i 0.261855 + 0.331836i
\(427\) 14.5585 + 6.48187i 0.704536 + 0.313680i
\(428\) 9.99085 + 17.3047i 0.482926 + 0.836453i
\(429\) −12.8263 18.6915i −0.619260 0.902432i
\(430\) 5.88900 10.2000i 0.283993 0.491890i
\(431\) 20.5242 14.9117i 0.988618 0.718273i 0.0289998 0.999579i \(-0.490768\pi\)
0.959618 + 0.281307i \(0.0907678\pi\)
\(432\) −7.21125 + 8.24664i −0.346952 + 0.396767i
\(433\) 5.10950 15.7254i 0.245547 0.755716i −0.749999 0.661439i \(-0.769946\pi\)
0.995546 0.0942769i \(-0.0300539\pi\)
\(434\) −4.01259 + 1.78652i −0.192611 + 0.0857558i
\(435\) −9.88152 38.8309i −0.473783 1.86180i
\(436\) 8.47477 1.80137i 0.405868 0.0862699i
\(437\) −0.364341 + 0.404641i −0.0174288 + 0.0193566i
\(438\) −1.63716 + 2.45272i −0.0782266 + 0.117195i
\(439\) 19.6207 33.9840i 0.936443 1.62197i 0.164403 0.986393i \(-0.447430\pi\)
0.772040 0.635574i \(-0.219237\pi\)
\(440\) 0.803326 + 21.0930i 0.0382971 + 1.00557i
\(441\) −12.8655 + 11.0094i −0.612643 + 0.524259i
\(442\) −0.579580 + 0.421089i −0.0275678 + 0.0200292i
\(443\) −31.4859 6.69254i −1.49594 0.317972i −0.613991 0.789313i \(-0.710437\pi\)
−0.881951 + 0.471341i \(0.843770\pi\)
\(444\) 15.9484 + 8.38112i 0.756876 + 0.397751i
\(445\) −0.668490 + 6.36026i −0.0316895 + 0.301505i
\(446\) 0.0231720 0.220466i 0.00109722 0.0104394i
\(447\) −6.94815 3.65137i −0.328636 0.172704i
\(448\) −1.21251 0.257726i −0.0572856 0.0121764i
\(449\) 20.9085 15.1909i 0.986731 0.716902i 0.0275281 0.999621i \(-0.491236\pi\)
0.959203 + 0.282719i \(0.0912364\pi\)
\(450\) 5.30318 4.53810i 0.249994 0.213928i
\(451\) 11.9096 + 15.1447i 0.560799 + 0.713134i
\(452\) 16.0178 27.7437i 0.753415 1.30495i
\(453\) 2.81829 4.22222i 0.132415 0.198377i
\(454\) 6.96480 7.73519i 0.326874 0.363030i
\(455\) −13.5025 + 2.87005i −0.633007 + 0.134550i
\(456\) −5.76243 22.6443i −0.269851 1.06042i
\(457\) −11.6169 + 5.17218i −0.543416 + 0.241944i −0.660038 0.751232i \(-0.729460\pi\)
0.116623 + 0.993176i \(0.462793\pi\)
\(458\) 2.39760 7.37904i 0.112032 0.344800i
\(459\) −1.60167 0.316209i −0.0747594 0.0147594i
\(460\) −0.346255 + 0.251569i −0.0161442 + 0.0117295i
\(461\) 9.51087 16.4733i 0.442965 0.767238i −0.554943 0.831889i \(-0.687260\pi\)
0.997908 + 0.0646502i \(0.0205932\pi\)
\(462\) −3.70635 + 1.09494i −0.172435 + 0.0509414i
\(463\) 11.4334 + 19.8032i 0.531353 + 0.920331i 0.999330 + 0.0365903i \(0.0116497\pi\)
−0.467977 + 0.883741i \(0.655017\pi\)
\(464\) −14.8298 6.60266i −0.688457 0.306521i
\(465\) 21.0464 + 26.6710i 0.976003 + 1.23684i
\(466\) −1.30281 1.44692i −0.0603517 0.0670274i
\(467\) −12.8819 9.35921i −0.596101 0.433093i 0.248392 0.968660i \(-0.420098\pi\)
−0.844493 + 0.535567i \(0.820098\pi\)
\(468\) 11.1876 + 16.2448i 0.517147 + 0.750918i
\(469\) −4.20232 + 12.9334i −0.194045 + 0.597210i
\(470\) 0.556515 + 0.118291i 0.0256701 + 0.00545635i
\(471\) 13.8437 + 28.0385i 0.637883 + 1.29194i
\(472\) −2.43188 4.21215i −0.111936 0.193880i
\(473\) 17.2831 + 14.4094i 0.794677 + 0.662545i
\(474\) 1.50206 8.76655i 0.0689920 0.402661i
\(475\) −2.68041 25.5024i −0.122986 1.17013i
\(476\) −0.188347 0.579671i −0.00863285 0.0265692i
\(477\) −7.20680 0.941798i −0.329977 0.0431220i
\(478\) 10.8436 + 7.87832i 0.495973 + 0.360346i
\(479\) −14.9730 + 6.66640i −0.684133 + 0.304596i −0.719214 0.694789i \(-0.755498\pi\)
0.0350809 + 0.999384i \(0.488831\pi\)
\(480\) −1.12797 28.3637i −0.0514843 1.29462i
\(481\) 16.4849 18.3083i 0.751647 0.834788i
\(482\) 8.00450 + 3.56383i 0.364595 + 0.162328i
\(483\) −0.132620 0.110192i −0.00603442 0.00501391i
\(484\) −18.1649 2.43594i −0.825676 0.110724i
\(485\) −0.266911 −0.0121198
\(486\) 1.96690 8.78982i 0.0892205 0.398714i
\(487\) 7.04142 + 21.6713i 0.319077 + 0.982019i 0.974044 + 0.226361i \(0.0726828\pi\)
−0.654966 + 0.755658i \(0.727317\pi\)
\(488\) 19.4008 + 21.5468i 0.878234 + 0.975378i
\(489\) −2.48750 9.77501i −0.112489 0.442041i
\(490\) 1.02423 9.74490i 0.0462700 0.440230i
\(491\) 42.6893 9.07389i 1.92654 0.409499i 0.927147 0.374698i \(-0.122253\pi\)
0.999394 0.0348013i \(-0.0110798\pi\)
\(492\) −10.3848 13.1601i −0.468181 0.593302i
\(493\) −0.252876 2.40596i −0.0113890 0.108359i
\(494\) −14.5209 −0.653324
\(495\) 15.2780 + 25.6946i 0.686696 + 1.15489i
\(496\) 13.7645 0.618045
\(497\) 1.06098 + 10.0945i 0.0475914 + 0.452801i
\(498\) −4.91006 + 0.714317i −0.220025 + 0.0320093i
\(499\) 19.6642 4.17976i 0.880291 0.187112i 0.254472 0.967080i \(-0.418098\pi\)
0.625819 + 0.779969i \(0.284765\pi\)
\(500\) −0.509335 + 4.84600i −0.0227781 + 0.216720i
\(501\) −6.22742 + 6.07227i −0.278220 + 0.271289i
\(502\) −0.225138 0.250041i −0.0100484 0.0111599i
\(503\) −3.27815 10.0891i −0.146165 0.449850i 0.850994 0.525176i \(-0.176000\pi\)
−0.997159 + 0.0753254i \(0.976000\pi\)
\(504\) 7.09255 2.10827i 0.315927 0.0939100i
\(505\) −6.17856 −0.274942
\(506\) 0.0722927 + 0.147041i 0.00321380 + 0.00653676i
\(507\) 4.17919 1.54405i 0.185604 0.0685736i
\(508\) 20.0656 + 8.93377i 0.890266 + 0.396372i
\(509\) −29.7551 + 33.0464i −1.31887 + 1.46476i −0.533399 + 0.845864i \(0.679086\pi\)
−0.785475 + 0.618894i \(0.787581\pi\)
\(510\) 0.798734 0.504496i 0.0353685 0.0223395i
\(511\) −3.13414 + 1.39541i −0.138646 + 0.0617292i
\(512\) −16.5301 12.0098i −0.730534 0.530764i
\(513\) −22.4970 24.2674i −0.993268 1.07143i
\(514\) −1.95899 6.02915i −0.0864073 0.265934i
\(515\) 0.947394 + 9.01385i 0.0417472 + 0.397198i
\(516\) −15.0592 12.5125i −0.662946 0.550831i
\(517\) −0.404002 + 1.00911i −0.0177680 + 0.0443805i
\(518\) −2.10004 3.63738i −0.0922707 0.159817i
\(519\) 14.9910 22.4589i 0.658033 0.985834i
\(520\) −24.5661 5.22169i −1.07730 0.228986i
\(521\) 5.23819 16.1215i 0.229489 0.706296i −0.768315 0.640071i \(-0.778905\pi\)
0.997805 0.0662243i \(-0.0210953\pi\)
\(522\) 13.3050 1.05990i 0.582344 0.0463906i
\(523\) −24.4438 17.7595i −1.06885 0.776567i −0.0931472 0.995652i \(-0.529693\pi\)
−0.975706 + 0.219085i \(0.929693\pi\)
\(524\) 20.0360 + 22.2523i 0.875277 + 0.972094i
\(525\) 8.03567 1.16903i 0.350706 0.0510207i
\(526\) −7.59870 3.38316i −0.331319 0.147513i
\(527\) 1.02565 + 1.77648i 0.0446780 + 0.0773845i
\(528\) 12.0063 + 1.58953i 0.522507 + 0.0691755i
\(529\) 11.4963 19.9123i 0.499841 0.865750i
\(530\) 3.40255 2.47210i 0.147797 0.107381i
\(531\) −5.87650 3.59341i −0.255018 0.155941i
\(532\) 3.81763 11.7495i 0.165515 0.509404i
\(533\) −20.9417 + 9.32386i −0.907087 + 0.403861i
\(534\) −2.05062 0.577278i −0.0887390 0.0249813i
\(535\) −35.2443 + 7.49141i −1.52374 + 0.323882i
\(536\) −16.5554 + 18.3867i −0.715086 + 0.794183i
\(537\) 12.1832 + 0.792694i 0.525745 + 0.0342073i
\(538\) −0.141268 + 0.244683i −0.00609050 + 0.0105491i
\(539\) 18.0112 + 5.10310i 0.775799 + 0.219806i
\(540\) −13.3311 22.3348i −0.573680 0.961136i
\(541\) −9.57164 + 6.95421i −0.411517 + 0.298985i −0.774216 0.632922i \(-0.781855\pi\)
0.362699 + 0.931906i \(0.381855\pi\)
\(542\) −12.3996 2.63561i −0.532607 0.113209i
\(543\) −3.65763 + 2.31024i −0.156964 + 0.0991417i
\(544\) 0.179148 1.70447i 0.00768089 0.0730788i
\(545\) −1.63309 + 15.5378i −0.0699539 + 0.665567i
\(546\) −0.182720 4.59465i −0.00781969 0.196633i
\(547\) −2.49018 0.529304i −0.106472 0.0226314i 0.154367 0.988014i \(-0.450666\pi\)
−0.260840 + 0.965382i \(0.583999\pi\)
\(548\) −22.1084 + 16.0627i −0.944424 + 0.686164i
\(549\) 38.7194 + 13.6697i 1.65251 + 0.583409i
\(550\) −7.42425 2.10350i −0.316571 0.0896937i
\(551\) 24.5177 42.4659i 1.04449 1.80911i
\(552\) −0.138883 0.281288i −0.00591124 0.0119724i
\(553\) 6.92386 7.68972i 0.294432 0.327000i
\(554\) −1.62181 + 0.344727i −0.0689043 + 0.0146461i
\(555\) −23.2603 + 22.6809i −0.987346 + 0.962749i
\(556\) 18.1153 8.06545i 0.768260 0.342051i
\(557\) 2.98987 9.20189i 0.126685 0.389896i −0.867519 0.497404i \(-0.834287\pi\)
0.994204 + 0.107507i \(0.0342868\pi\)
\(558\) −9.94070 + 5.40965i −0.420823 + 0.229009i
\(559\) −21.6599 + 15.7368i −0.916117 + 0.665598i
\(560\) 3.68748 6.38690i 0.155824 0.269896i
\(561\) 0.689489 + 1.66800i 0.0291103 + 0.0704230i
\(562\) −5.25175 9.09630i −0.221532 0.383704i
\(563\) −21.9134 9.75648i −0.923540 0.411187i −0.110820 0.993840i \(-0.535348\pi\)
−0.812720 + 0.582654i \(0.802014\pi\)
\(564\) 0.350050 0.878625i 0.0147398 0.0369968i
\(565\) 38.6542 + 42.9298i 1.62619 + 1.80607i
\(566\) 9.60027 + 6.97501i 0.403530 + 0.293181i
\(567\) 7.39553 7.42382i 0.310583 0.311771i
\(568\) −5.70659 + 17.5631i −0.239443 + 0.736930i
\(569\) 36.7971 + 7.82146i 1.54261 + 0.327893i 0.899169 0.437601i \(-0.144172\pi\)
0.643444 + 0.765493i \(0.277505\pi\)
\(570\) 19.1083 + 1.24327i 0.800357 + 0.0520747i
\(571\) 7.37740 + 12.7780i 0.308735 + 0.534744i 0.978086 0.208202i \(-0.0667612\pi\)
−0.669351 + 0.742946i \(0.733428\pi\)
\(572\) 8.10485 20.2442i 0.338881 0.846451i
\(573\) −19.2089 + 7.09695i −0.802463 + 0.296479i
\(574\) 0.408508 + 3.88669i 0.0170508 + 0.162227i
\(575\) −0.106386 0.327424i −0.00443662 0.0136545i
\(576\) −3.16703 0.413873i −0.131959 0.0172447i
\(577\) 18.0466 + 13.1116i 0.751289 + 0.545843i 0.896226 0.443598i \(-0.146298\pi\)
−0.144937 + 0.989441i \(0.546298\pi\)
\(578\) −8.92147 + 3.97210i −0.371084 + 0.165217i
\(579\) 10.3442 + 5.43603i 0.429889 + 0.225914i
\(580\) 25.7907 28.6435i 1.07090 1.18935i
\(581\) −5.27339 2.34787i −0.218777 0.0974059i
\(582\) 0.0150151 0.0876332i 0.000622396 0.00363251i
\(583\) 3.54519 + 7.21079i 0.146827 + 0.298640i
\(584\) −6.24181 −0.258288
\(585\) −34.0936 + 10.1344i −1.40960 + 0.419005i
\(586\) 0.153568 + 0.472634i 0.00634384 + 0.0195243i
\(587\) −1.67294 1.85799i −0.0690496 0.0766873i 0.707630 0.706583i \(-0.249764\pi\)
−0.776680 + 0.629896i \(0.783098\pi\)
\(588\) −15.6792 4.41392i −0.646599 0.182027i
\(589\) −4.34610 + 41.3504i −0.179078 + 1.70381i
\(590\) 3.89880 0.828715i 0.160511 0.0341177i
\(591\) −13.2362 + 33.2228i −0.544463 + 1.36660i
\(592\) 1.37581 + 13.0900i 0.0565456 + 0.537995i
\(593\) −10.8953 −0.447417 −0.223708 0.974656i \(-0.571816\pi\)
−0.223708 + 0.974656i \(0.571816\pi\)
\(594\) −9.29562 + 3.57069i −0.381404 + 0.146507i
\(595\) 1.09907 0.0450577
\(596\) −0.789236 7.50908i −0.0323284 0.307584i
\(597\) −8.51719 + 21.3781i −0.348585 + 0.874949i
\(598\) −0.190693 + 0.0405330i −0.00779800 + 0.00165752i
\(599\) 3.85063 36.6363i 0.157332 1.49692i −0.576225 0.817291i \(-0.695475\pi\)
0.733558 0.679627i \(-0.237858\pi\)
\(600\) 14.2210 + 4.00343i 0.580572 + 0.163439i
\(601\) −10.3409 11.4848i −0.421815 0.468474i 0.494356 0.869259i \(-0.335404\pi\)
−0.916172 + 0.400786i \(0.868737\pi\)
\(602\) 1.41047 + 4.34099i 0.0574866 + 0.176925i
\(603\) −8.14726 + 34.0790i −0.331782 + 1.38780i
\(604\) 4.88321 0.198695
\(605\) 14.2996 29.7949i 0.581361 1.21134i
\(606\) 0.347575 2.02857i 0.0141193 0.0824049i
\(607\) −23.2743 10.3624i −0.944675 0.420596i −0.124186 0.992259i \(-0.539632\pi\)
−0.820489 + 0.571663i \(0.806299\pi\)
\(608\) 23.2447 25.8158i 0.942696 1.04697i
\(609\) 13.7455 + 7.22347i 0.556995 + 0.292710i
\(610\) −21.7067 + 9.66443i −0.878877 + 0.391301i
\(611\) −1.04630 0.760183i −0.0423289 0.0307537i
\(612\) −0.602369 1.45033i −0.0243493 0.0586262i
\(613\) −11.6728 35.9252i −0.471461 1.45101i −0.850672 0.525697i \(-0.823805\pi\)
0.379211 0.925310i \(-0.376195\pi\)
\(614\) −0.210740 2.00506i −0.00850478 0.0809175i
\(615\) 28.3559 10.4764i 1.14342 0.422450i
\(616\) −6.28298 5.23830i −0.253148 0.211057i
\(617\) −20.9464 36.2802i −0.843271 1.46059i −0.887115 0.461549i \(-0.847294\pi\)
0.0438437 0.999038i \(-0.486040\pi\)
\(618\) −3.01276 0.196023i −0.121191 0.00788520i
\(619\) 5.85872 + 1.24531i 0.235482 + 0.0500532i 0.324141 0.946009i \(-0.394925\pi\)
−0.0886590 + 0.996062i \(0.528258\pi\)
\(620\) −10.0993 + 31.0823i −0.405596 + 1.24830i
\(621\) −0.363178 0.255890i −0.0145738 0.0102685i
\(622\) −5.06974 3.68338i −0.203278 0.147690i
\(623\) −1.65837 1.84181i −0.0664413 0.0737905i
\(624\) −5.33332 + 13.3866i −0.213504 + 0.535894i
\(625\) −26.4193 11.7626i −1.05677 0.470505i
\(626\) 8.17057 + 14.1518i 0.326562 + 0.565621i
\(627\) −8.56611 + 35.5666i −0.342097 + 1.42039i
\(628\) −15.0399 + 26.0498i −0.600157 + 1.03950i
\(629\) −1.58690 + 1.15295i −0.0632739 + 0.0459712i
\(630\) −0.152946 + 6.06183i −0.00609353 + 0.241509i
\(631\) −6.64368 + 20.4471i −0.264481 + 0.813988i 0.727332 + 0.686286i \(0.240760\pi\)
−0.991813 + 0.127702i \(0.959240\pi\)
\(632\) 17.1985 7.65725i 0.684118 0.304589i
\(633\) −10.3486 + 10.0908i −0.411320 + 0.401073i
\(634\) 0.628784 0.133652i 0.0249722 0.00530801i
\(635\) −26.5024 + 29.4338i −1.05171 + 1.16805i
\(636\) −3.09524 6.26899i −0.122734 0.248581i
\(637\) −11.1368 + 19.2895i −0.441256 + 0.764278i
\(638\) −9.12129 11.5990i −0.361115 0.459208i
\(639\) 4.79053 + 25.7104i 0.189510 + 1.01709i
\(640\) 28.0127 20.3525i 1.10730 0.804501i
\(641\) −12.5565 2.66896i −0.495951 0.105418i −0.0468561 0.998902i \(-0.514920\pi\)
−0.449095 + 0.893484i \(0.648254\pi\)
\(642\) −0.476936 11.9930i −0.0188232 0.473325i
\(643\) −2.96396 + 28.2002i −0.116887 + 1.11211i 0.766103 + 0.642718i \(0.222193\pi\)
−0.882990 + 0.469391i \(0.844473\pi\)
\(644\) 0.0173374 0.164954i 0.000683189 0.00650011i
\(645\) 29.8501 18.8539i 1.17535 0.742372i
\(646\) 1.13087 + 0.240374i 0.0444936 + 0.00945741i
\(647\) 14.1536 10.2832i 0.556436 0.404274i −0.273717 0.961810i \(-0.588253\pi\)
0.830153 + 0.557536i \(0.188253\pi\)
\(648\) 17.7857 6.86625i 0.698687 0.269732i
\(649\) 0.289810 + 7.60956i 0.0113760 + 0.298701i
\(650\) 4.59060 7.95116i 0.180058 0.311870i
\(651\) −13.1387 0.854859i −0.514945 0.0335046i
\(652\) 6.49236 7.21050i 0.254261 0.282385i
\(653\) 28.6619 6.09227i 1.12163 0.238409i 0.390468 0.920617i \(-0.372313\pi\)
0.731159 + 0.682207i \(0.238980\pi\)
\(654\) −5.00957 1.41026i −0.195890 0.0551457i
\(655\) −49.3268 + 21.9617i −1.92736 + 0.858114i
\(656\) 3.78455 11.6477i 0.147762 0.454764i
\(657\) −7.76444 + 4.22534i −0.302920 + 0.164846i
\(658\) −0.178378 + 0.129599i −0.00695388 + 0.00505229i
\(659\) −13.7935 + 23.8911i −0.537319 + 0.930664i 0.461728 + 0.887021i \(0.347229\pi\)
−0.999047 + 0.0436422i \(0.986104\pi\)
\(660\) −12.3986 + 25.9457i −0.482616 + 1.00994i
\(661\) −14.8776 25.7688i −0.578672 1.00229i −0.995632 0.0933649i \(-0.970238\pi\)
0.416960 0.908925i \(-0.363096\pi\)
\(662\) −6.53398 2.90912i −0.253950 0.113066i
\(663\) −2.12511 + 0.309162i −0.0825325 + 0.0120069i
\(664\) −7.02738 7.80469i −0.272715 0.302881i
\(665\) 18.0228 + 13.0943i 0.698893 + 0.507775i
\(666\) −6.13815 8.91284i −0.237849 0.345365i
\(667\) 0.203437 0.626115i 0.00787711 0.0242433i
\(668\) −8.18403 1.73957i −0.316650 0.0673060i
\(669\) 0.368919 0.552697i 0.0142632 0.0213685i
\(670\) −10.1380 17.5596i −0.391666 0.678385i
\(671\) −11.1213 44.0120i −0.429331 1.69906i
\(672\) 8.46107 + 7.03017i 0.326393 + 0.271195i
\(673\) −1.00908 9.60079i −0.0388973 0.370083i −0.996604 0.0823384i \(-0.973761\pi\)
0.957707 0.287745i \(-0.0929055\pi\)
\(674\) 2.40577 + 7.40418i 0.0926666 + 0.285198i
\(675\) 20.4002 4.64680i 0.785205 0.178856i
\(676\) 3.46724 + 2.51910i 0.133355 + 0.0968883i
\(677\) −0.0896326 + 0.0399070i −0.00344486 + 0.00153375i −0.408458 0.912777i \(-0.633933\pi\)
0.405013 + 0.914311i \(0.367267\pi\)
\(678\) −16.2694 + 10.2761i −0.624822 + 0.394650i
\(679\) 0.0692131 0.0768689i 0.00265615 0.00294996i
\(680\) 1.82675 + 0.813323i 0.0700528 + 0.0311895i
\(681\) 29.2676 10.8132i 1.12153 0.414364i
\(682\) 11.0657 + 5.83898i 0.423729 + 0.223586i
\(683\) 30.5246 1.16799 0.583996 0.811756i \(-0.301488\pi\)
0.583996 + 0.811756i \(0.301488\pi\)
\(684\) 7.40144 30.9593i 0.283001 1.18376i
\(685\) −15.2277 46.8660i −0.581820 1.79066i
\(686\) 5.69202 + 6.32163i 0.217323 + 0.241361i
\(687\) 16.6518 16.2370i 0.635307 0.619480i
\(688\) 1.49514 14.2253i 0.0570018 0.542336i
\(689\) −9.35145 + 1.98771i −0.356262 + 0.0757258i
\(690\) 0.254406 0.0370111i 0.00968509 0.00140899i
\(691\) −3.42871 32.6220i −0.130434 1.24100i −0.842426 0.538812i \(-0.818873\pi\)
0.711992 0.702188i \(-0.247793\pi\)
\(692\) 25.9748 0.987413
\(693\) −11.3617 2.26292i −0.431594 0.0859612i
\(694\) 5.62741 0.213614
\(695\) 3.73768 + 35.5616i 0.141778 + 1.34893i
\(696\) 17.5007 + 22.1778i 0.663362 + 0.840646i
\(697\) 1.78527 0.379471i 0.0676220 0.0143735i
\(698\) 0.268178 2.55154i 0.0101507 0.0965773i
\(699\) −1.43935 5.65614i −0.0544412 0.213935i
\(700\) 5.22673 + 5.80487i 0.197552 + 0.219404i
\(701\) −2.70365 8.32098i −0.102115 0.314279i 0.886927 0.461909i \(-0.152835\pi\)
−0.989043 + 0.147630i \(0.952835\pi\)
\(702\) −1.40942 11.7639i −0.0531952 0.443998i
\(703\) −39.7584 −1.49952
\(704\) 1.55793 + 3.16878i 0.0587168 + 0.119428i
\(705\) 1.31176 + 1.08992i 0.0494039 + 0.0410489i
\(706\) 17.1678 + 7.64360i 0.646119 + 0.287671i
\(707\) 1.60217 1.77939i 0.0602558 0.0669208i
\(708\) −0.263292 6.62072i −0.00989514 0.248822i
\(709\) 24.4610 10.8907i 0.918651 0.409010i 0.107740 0.994179i \(-0.465639\pi\)
0.810911 + 0.585169i \(0.198972\pi\)
\(710\) −12.2435 8.89542i −0.459490 0.333839i
\(711\) 16.2104 21.1675i 0.607936 0.793844i
\(712\) −1.39340 4.28845i −0.0522199 0.160716i
\(713\) 0.0583495 + 0.555159i 0.00218521 + 0.0207909i
\(714\) −0.0618286 + 0.360852i −0.00231388 + 0.0135046i
\(715\) 30.2020 + 25.1803i 1.12949 + 0.941690i
\(716\) 5.87217 + 10.1709i 0.219453 + 0.380105i
\(717\) 17.7875 + 36.0261i 0.664286 + 1.34542i
\(718\) 15.6953 + 3.33613i 0.585742 + 0.124503i
\(719\) −4.63672 + 14.2703i −0.172920 + 0.532194i −0.999532 0.0305782i \(-0.990265\pi\)
0.826612 + 0.562772i \(0.190265\pi\)
\(720\) 8.16437 17.1591i 0.304268 0.639481i
\(721\) −2.84161 2.06455i −0.105827 0.0768879i
\(722\) 8.33438 + 9.25627i 0.310174 + 0.344483i
\(723\) 16.2704 + 20.6186i 0.605101 + 0.766815i
\(724\) −3.80172 1.69263i −0.141290 0.0629062i
\(725\) 15.5020 + 26.8502i 0.575730 + 0.997193i
\(726\) 8.97797 + 6.37101i 0.333204 + 0.236450i
\(727\) −13.7663 + 23.8438i −0.510562 + 0.884319i 0.489363 + 0.872080i \(0.337229\pi\)
−0.999925 + 0.0122391i \(0.996104\pi\)
\(728\) 7.87410 5.72087i 0.291834 0.212029i
\(729\) 17.4763 20.5811i 0.647269 0.762262i
\(730\) 1.58069 4.86486i 0.0585039 0.180057i
\(731\) 1.94736 0.867021i 0.0720257 0.0320679i
\(732\) 9.74105 + 38.2789i 0.360040 + 1.41483i
\(733\) −46.6964 + 9.92564i −1.72477 + 0.366612i −0.960500 0.278281i \(-0.910235\pi\)
−0.764273 + 0.644893i \(0.776902\pi\)
\(734\) 0.453208 0.503339i 0.0167282 0.0185786i
\(735\) 16.3067 24.4299i 0.601481 0.901111i
\(736\) 0.233195 0.403906i 0.00859570 0.0148882i
\(737\) 36.3593 13.3640i 1.33931 0.492267i
\(738\) 1.84450 + 9.89928i 0.0678968 + 0.364398i
\(739\) −1.20421 + 0.874910i −0.0442976 + 0.0321841i −0.609714 0.792622i \(-0.708716\pi\)
0.565416 + 0.824806i \(0.308716\pi\)
\(740\) −30.5686 6.49755i −1.12372 0.238855i
\(741\) −38.5312 20.2488i −1.41548 0.743857i
\(742\) −0.170370 + 1.62096i −0.00625446 + 0.0595072i
\(743\) 1.89825 18.0607i 0.0696402 0.662582i −0.902901 0.429850i \(-0.858567\pi\)
0.972541 0.232733i \(-0.0747667\pi\)
\(744\) −21.2050 11.1436i −0.777411 0.408542i
\(745\) 13.3177 + 2.83076i 0.487922 + 0.103711i
\(746\) −10.1751 + 7.39264i −0.372537 + 0.270664i
\(747\) −14.0250 4.95145i −0.513147 0.181164i
\(748\) −0.966316 + 1.44243i −0.0353320 + 0.0527406i
\(749\) 6.98177 12.0928i 0.255108 0.441860i
\(750\) 1.62493 2.43440i 0.0593341 0.0888916i
\(751\) −2.94060 + 3.26586i −0.107304 + 0.119173i −0.794404 0.607390i \(-0.792217\pi\)
0.687100 + 0.726563i \(0.258883\pi\)
\(752\) 0.675855 0.143657i 0.0246459 0.00523865i
\(753\) −0.248732 0.977431i −0.00906431 0.0356196i
\(754\) 16.0389 7.14096i 0.584101 0.260058i
\(755\) −2.72107 + 8.37459i −0.0990299 + 0.304783i
\(756\) 9.88920 + 1.95237i 0.359667 + 0.0710071i
\(757\) 11.1369 8.09140i 0.404776 0.294087i −0.366708 0.930336i \(-0.619515\pi\)
0.771483 + 0.636249i \(0.219515\pi\)
\(758\) 4.69382 8.12993i 0.170487 0.295292i
\(759\) −0.0132137 + 0.490983i −0.000479625 + 0.0178216i
\(760\) 20.2655 + 35.1008i 0.735105 + 1.27324i
\(761\) −28.4168 12.6520i −1.03011 0.458634i −0.179126 0.983826i \(-0.557327\pi\)
−0.850984 + 0.525192i \(0.823994\pi\)
\(762\) −8.17294 10.3572i −0.296074 0.375200i
\(763\) −4.05133 4.49945i −0.146668 0.162891i
\(764\) −15.9365 11.5786i −0.576564 0.418898i
\(765\) 2.82295 0.224881i 0.102064 0.00813060i
\(766\) 1.10585 3.40344i 0.0399558 0.122971i
\(767\) −8.86254 1.88379i −0.320008 0.0680197i
\(768\) 3.47357 + 7.03524i 0.125342 + 0.253862i
\(769\) −10.9677 18.9966i −0.395504 0.685034i 0.597661 0.801749i \(-0.296097\pi\)
−0.993165 + 0.116715i \(0.962764\pi\)
\(770\) 5.67384 3.57039i 0.204471 0.128668i
\(771\) 3.20922 18.7301i 0.115577 0.674549i
\(772\) 1.17499 + 11.1793i 0.0422887 + 0.402350i
\(773\) −3.92965 12.0942i −0.141340 0.434999i 0.855182 0.518327i \(-0.173445\pi\)
−0.996522 + 0.0833281i \(0.973445\pi\)
\(774\) 4.51097 + 10.8611i 0.162143 + 0.390395i
\(775\) −21.2682 15.4522i −0.763976 0.555061i
\(776\) 0.171921 0.0765443i 0.00617162 0.00274778i
\(777\) −0.500291 12.5803i −0.0179478 0.451314i
\(778\) −0.279617 + 0.310546i −0.0100248 + 0.0111336i
\(779\) 33.7961 + 15.0470i 1.21087 + 0.539114i
\(780\) −26.3158 21.8654i −0.942258 0.782908i
\(781\) 20.7348 20.1504i 0.741950 0.721038i
\(782\) 0.0155220 0.000555064
\(783\) 36.7829 + 15.7408i 1.31451 + 0.562532i
\(784\) −3.67724 11.3174i −0.131330 0.404193i
\(785\) −36.2942 40.3088i −1.29540 1.43868i
\(786\) −4.43567 17.4306i −0.158215 0.621729i
\(787\) 1.80433 17.1671i 0.0643176 0.611941i −0.914127 0.405429i \(-0.867122\pi\)
0.978444 0.206512i \(-0.0662112\pi\)
\(788\) −33.6496 + 7.15244i −1.19872 + 0.254795i
\(789\) −15.4455 19.5733i −0.549875 0.696829i
\(790\) 1.61268 + 15.3436i 0.0573765 + 0.545901i
\(791\) −22.3870 −0.795991
\(792\) −17.2095 12.1689i −0.611512 0.432402i
\(793\) 54.0120 1.91802
\(794\) −0.247023 2.35027i −0.00876652 0.0834079i
\(795\) 12.4759 1.81500i 0.442476 0.0643715i
\(796\) −21.6528 + 4.60245i −0.767463 + 0.163129i
\(797\) −3.67956 + 35.0087i −0.130337 + 1.24007i 0.712411 + 0.701762i \(0.247603\pi\)
−0.842748 + 0.538309i \(0.819064\pi\)
\(798\) −5.31305 + 5.18068i −0.188080 + 0.183394i
\(799\) 0.0689013 + 0.0765227i 0.00243755 + 0.00270718i
\(800\) 6.78739 + 20.8894i 0.239970 + 0.738553i
\(801\) −4.63634 4.39132i −0.163817 0.155160i
\(802\) −3.26248 −0.115202
\(803\) 8.64318 + 4.56069i 0.305011 + 0.160943i
\(804\) −31.6170 + 11.6812i −1.11504 + 0.411966i
\(805\) 0.273232 + 0.121651i 0.00963016 + 0.00428762i
\(806\) −9.96114 + 11.0630i −0.350866 + 0.389677i
\(807\) −0.716057 + 0.452276i −0.0252064 + 0.0159209i
\(808\) 3.97970 1.77188i 0.140005 0.0623344i
\(809\) 15.4367 + 11.2154i 0.542725 + 0.394313i 0.825096 0.564992i \(-0.191121\pi\)
−0.282371 + 0.959305i \(0.591121\pi\)
\(810\) 0.847470 + 15.6010i 0.0297771 + 0.548162i
\(811\) −9.59769 29.5387i −0.337020 1.03724i −0.965718 0.259593i \(-0.916412\pi\)
0.628698 0.777650i \(-0.283588\pi\)
\(812\) 1.56134 + 14.8551i 0.0547923 + 0.521314i
\(813\) −29.2271 24.2843i −1.02504 0.851688i
\(814\) −4.44678 + 11.1071i −0.155860 + 0.389303i
\(815\) 8.74810 + 15.1522i 0.306433 + 0.530757i
\(816\) 0.636954 0.954254i 0.0222978 0.0334056i
\(817\) 42.2627 + 8.98321i 1.47858 + 0.314283i
\(818\) 1.68711 5.19240i 0.0589885 0.181548i
\(819\) 5.92221 12.4467i 0.206939 0.434924i
\(820\) 23.5253 + 17.0922i 0.821540 + 0.596884i
\(821\) 22.7561 + 25.2732i 0.794195 + 0.882042i 0.995231 0.0975412i \(-0.0310978\pi\)
−0.201037 + 0.979584i \(0.564431\pi\)
\(822\) 16.2439 2.36316i 0.566570 0.0824247i
\(823\) 14.2111 + 6.32720i 0.495368 + 0.220552i 0.639186 0.769052i \(-0.279271\pi\)
−0.143818 + 0.989604i \(0.545938\pi\)
\(824\) −3.19521 5.53426i −0.111310 0.192795i
\(825\) −16.7671 15.9345i −0.583754 0.554768i
\(826\) −0.772337 + 1.33773i −0.0268730 + 0.0465455i
\(827\) −12.9667 + 9.42084i −0.450895 + 0.327595i −0.789949 0.613172i \(-0.789893\pi\)
0.339054 + 0.940767i \(0.389893\pi\)
\(828\) 0.0107794 0.427228i 0.000374611 0.0148472i
\(829\) 5.90205 18.1646i 0.204987 0.630884i −0.794727 0.606967i \(-0.792386\pi\)
0.999714 0.0239173i \(-0.00761382\pi\)
\(830\) 7.86260 3.50065i 0.272915 0.121509i
\(831\) −4.78420 1.34682i −0.165962 0.0467207i
\(832\) −4.10949 + 0.873499i −0.142471 + 0.0302831i
\(833\) 1.18664 1.31790i 0.0411146 0.0456624i
\(834\) −11.8860 0.773354i −0.411578 0.0267791i
\(835\) 7.54371 13.0661i 0.261061 0.452171i
\(836\) −33.0308 + 12.1406i −1.14240 + 0.419891i
\(837\) −33.9213 + 0.492616i −1.17249 + 0.0170273i
\(838\) −0.0708501 + 0.0514756i −0.00244747 + 0.00177819i
\(839\) −1.45541 0.309356i −0.0502462 0.0106802i 0.182720 0.983165i \(-0.441510\pi\)
−0.232966 + 0.972485i \(0.574843\pi\)
\(840\) −10.8515 + 6.85402i −0.374412 + 0.236486i
\(841\) −3.16588 + 30.1213i −0.109168 + 1.03867i
\(842\) −1.02535 + 9.75552i −0.0353358 + 0.336198i
\(843\) −1.25112 31.4605i −0.0430908 1.08356i
\(844\) −13.6001 2.89079i −0.468134 0.0995049i
\(845\) −6.25224 + 4.54252i −0.215084 + 0.156267i
\(846\) −0.431641 + 0.369369i −0.0148401 + 0.0126992i
\(847\) 4.87274 + 11.8444i 0.167429 + 0.406977i
\(848\) 2.55384 4.42338i 0.0876993 0.151900i
\(849\) 15.7480 + 31.8954i 0.540470 + 1.09465i
\(850\) −0.489134 + 0.543238i −0.0167772 + 0.0186329i
\(851\) −0.522121 + 0.110980i −0.0178981 + 0.00380435i
\(852\) −18.0121 + 17.5633i −0.617084 + 0.601710i
\(853\) 34.5339 15.3755i 1.18242 0.526447i 0.281132 0.959669i \(-0.409290\pi\)
0.901287 + 0.433222i \(0.142624\pi\)
\(854\) 2.84548 8.75750i 0.0973704 0.299675i
\(855\) 48.9702 + 29.9448i 1.67475 + 1.02409i
\(856\) 20.5530 14.9326i 0.702487 0.510387i
\(857\) −9.91348 + 17.1706i −0.338638 + 0.586538i −0.984177 0.177189i \(-0.943300\pi\)
0.645539 + 0.763727i \(0.276633\pi\)
\(858\) −9.96631 + 8.49952i −0.340244 + 0.290169i
\(859\) 7.85764 + 13.6098i 0.268099 + 0.464362i 0.968371 0.249515i \(-0.0802711\pi\)
−0.700272 + 0.713876i \(0.746938\pi\)
\(860\) 31.0259 + 13.8136i 1.05798 + 0.471041i
\(861\) −4.33586 + 10.8830i −0.147766 + 0.370892i
\(862\) −9.80860 10.8936i −0.334082 0.371036i
\(863\) −6.57548 4.77736i −0.223832 0.162623i 0.470218 0.882550i \(-0.344175\pi\)
−0.694050 + 0.719927i \(0.744175\pi\)
\(864\) 23.1705 + 16.3256i 0.788276 + 0.555408i
\(865\) −14.4739 + 44.5462i −0.492128 + 1.51462i
\(866\) −9.34517 1.98638i −0.317562 0.0674998i
\(867\) −29.2121 1.90067i −0.992095 0.0645500i
\(868\) −6.33269 10.9685i −0.214945 0.372296i
\(869\) −29.4100 1.96318i −0.997667 0.0665963i
\(870\) −21.7172 + 8.02368i −0.736283 + 0.272028i
\(871\) 4.81776 + 45.8379i 0.163244 + 1.55316i
\(872\) −3.40401 10.4765i −0.115274 0.354778i
\(873\) 0.162044 0.211597i 0.00548435 0.00716149i
\(874\) 0.254531 + 0.184928i 0.00860964 + 0.00625527i
\(875\) 3.11073 1.38498i 0.105162 0.0468210i
\(876\) −7.52718 3.95565i −0.254320 0.133649i
\(877\) −1.69526 + 1.88278i −0.0572449 + 0.0635769i −0.771087 0.636730i \(-0.780287\pi\)
0.713842 + 0.700307i \(0.246953\pi\)
\(878\) −20.7138 9.22239i −0.699058 0.311241i
\(879\) −0.251576 + 1.46828i −0.00848544 + 0.0495239i
\(880\) −20.7942 + 2.98947i −0.700971 + 0.100775i
\(881\) −47.4109 −1.59731 −0.798657 0.601786i \(-0.794456\pi\)
−0.798657 + 0.601786i \(0.794456\pi\)
\(882\) 7.10358 + 6.72818i 0.239190 + 0.226550i
\(883\) 8.19295 + 25.2153i 0.275715 + 0.848563i 0.989029 + 0.147719i \(0.0471930\pi\)
−0.713315 + 0.700844i \(0.752807\pi\)
\(884\) −1.38226 1.53515i −0.0464904 0.0516328i
\(885\) 11.5011 + 3.23772i 0.386605 + 0.108835i
\(886\) −1.94417 + 18.4975i −0.0653156 + 0.621436i
\(887\) 46.7841 9.94428i 1.57086 0.333896i 0.661511 0.749935i \(-0.269915\pi\)
0.909347 + 0.416039i \(0.136582\pi\)
\(888\) 8.47795 21.2796i 0.284501 0.714098i
\(889\) −1.60442 15.2651i −0.0538106 0.511974i
\(890\) 3.69528 0.123866
\(891\) −29.6452 3.48754i −0.993151 0.116837i
\(892\) 0.639221 0.0214027
\(893\) 0.218166 + 2.07571i 0.00730066 + 0.0694612i
\(894\) −1.67859 + 4.21327i −0.0561406 + 0.140913i
\(895\) −20.7150 + 4.40311i −0.692427 + 0.147180i
\(896\) −1.40263 + 13.3451i −0.0468586 + 0.445830i
\(897\) −0.562526 0.158359i −0.0187822 0.00528745i
\(898\) −9.99221 11.0975i −0.333445 0.370328i
\(899\) −15.5345 47.8104i −0.518106 1.59457i
\(900\) 14.6125 + 13.8402i 0.487082 + 0.461341i
\(901\) 0.761187 0.0253588
\(902\) 7.98352 7.75850i 0.265822 0.258330i
\(903\) −2.31064 + 13.4857i −0.0768933 + 0.448776i
\(904\) −37.2091 16.5666i −1.23756 0.550995i
\(905\) 5.02126 5.57667i 0.166912 0.185375i
\(906\) −2.59650 1.36451i −0.0862631 0.0453327i
\(907\) 43.3554 19.3030i 1.43959 0.640947i 0.469333 0.883021i \(-0.344494\pi\)
0.970258 + 0.242074i \(0.0778277\pi\)
\(908\) 24.2817 + 17.6417i 0.805815 + 0.585459i
\(909\) 3.75105 4.89814i 0.124415 0.162461i
\(910\) 2.46479 + 7.58583i 0.0817068 + 0.251468i
\(911\) 2.97198 + 28.2765i 0.0984660 + 0.936841i 0.926533 + 0.376213i \(0.122774\pi\)
−0.828067 + 0.560629i \(0.810560\pi\)
\(912\) 21.8138 8.05935i 0.722326 0.266872i
\(913\) 4.02834 + 15.9420i 0.133319 + 0.527604i
\(914\) 3.67381 + 6.36322i 0.121519 + 0.210477i
\(915\) −71.0755 4.62448i −2.34968 0.152880i
\(916\) 21.8837 + 4.65153i 0.723059 + 0.153691i
\(917\) 6.46615 19.9008i 0.213531 0.657181i
\(918\) −0.0849712 + 0.939491i −0.00280447 + 0.0310078i
\(919\) −31.0442 22.5550i −1.02406 0.744020i −0.0569449 0.998377i \(-0.518136\pi\)
−0.967110 + 0.254358i \(0.918136\pi\)
\(920\) 0.364112 + 0.404387i 0.0120044 + 0.0133322i
\(921\) 2.23677 5.61430i 0.0737042 0.184998i
\(922\) −10.0408 4.47044i −0.330675 0.147226i
\(923\) 17.2007 + 29.7924i 0.566167 + 0.980629i
\(924\) −4.25713 10.2988i −0.140049 0.338804i
\(925\) 12.5692 21.7704i 0.413272 0.715808i
\(926\) 10.6893 7.76621i 0.351271 0.255214i
\(927\) −7.72103 4.72132i −0.253592 0.155069i
\(928\) −12.9791 + 39.9457i −0.426061 + 1.31128i
\(929\) 12.2302 5.44526i 0.401261 0.178653i −0.196176 0.980569i \(-0.562852\pi\)
0.597437 + 0.801916i \(0.296186\pi\)
\(930\) 14.0553 13.7051i 0.460890 0.449408i
\(931\) 35.1600 7.47348i 1.15232 0.244934i
\(932\) 3.75669 4.17223i 0.123055 0.136666i
\(933\) −8.31626 16.8434i −0.272262 0.551429i
\(934\) −4.60021 + 7.96779i −0.150523 + 0.260714i
\(935\) −1.93528 2.46098i −0.0632905 0.0804826i
\(936\) 19.0539 16.3050i 0.622795 0.532946i
\(937\) 19.9588 14.5010i 0.652027 0.473725i −0.211934 0.977284i \(-0.567976\pi\)
0.863961 + 0.503559i \(0.167976\pi\)
\(938\) 7.68596 + 1.63370i 0.250956 + 0.0533422i
\(939\) 1.94647 + 48.9456i 0.0635205 + 1.59728i
\(940\) −0.171486 + 1.63158i −0.00559327 + 0.0532164i
\(941\) −0.867827 + 8.25682i −0.0282903 + 0.269165i 0.971229 + 0.238149i \(0.0765408\pi\)
−0.999519 + 0.0310154i \(0.990126\pi\)
\(942\) 15.2761 9.64868i 0.497722 0.314371i
\(943\) 0.485823 + 0.103265i 0.0158206 + 0.00336277i
\(944\) 3.91616 2.84526i 0.127460 0.0926053i
\(945\) −8.85883 + 15.8718i −0.288178 + 0.516311i
\(946\) 7.23646 10.8020i 0.235278 0.351202i
\(947\) −18.9748 + 32.8653i −0.616598 + 1.06798i 0.373503 + 0.927629i \(0.378156\pi\)
−0.990102 + 0.140351i \(0.955177\pi\)
\(948\) 25.5928 + 1.66518i 0.831215 + 0.0540824i
\(949\) −7.78041 + 8.64102i −0.252563 + 0.280499i
\(950\) −14.4930 + 3.08058i −0.470214 + 0.0999472i
\(951\) 1.85486 + 0.522168i 0.0601478 + 0.0169325i
\(952\) −0.707930 + 0.315191i −0.0229442 + 0.0102154i
\(953\) −15.0400 + 46.2884i −0.487194 + 1.49943i 0.341583 + 0.939852i \(0.389037\pi\)
−0.828778 + 0.559578i \(0.810963\pi\)
\(954\) −0.105926 + 4.19825i −0.00342949 + 0.135923i
\(955\) 28.7373 20.8789i 0.929918 0.675625i
\(956\) −19.3245 + 33.4710i −0.624998 + 1.08253i
\(957\) −8.02907 43.4973i −0.259543 1.40607i
\(958\) 4.73516 + 8.20154i 0.152986 + 0.264980i
\(959\) 17.4459 + 7.76740i 0.563356 + 0.250822i
\(960\) 5.48254 0.797602i 0.176948 0.0257425i
\(961\) 7.77911 + 8.63958i 0.250939 + 0.278696i
\(962\) −11.5165 8.36721i −0.371306 0.269770i
\(963\) 15.4582 32.4885i 0.498133 1.04693i
\(964\) −7.80746 + 24.0289i −0.251461 + 0.773918i
\(965\) −19.8269 4.21434i −0.638250 0.135664i
\(966\) −0.0553115 + 0.0828651i −0.00177962 + 0.00266614i
\(967\) −5.48901 9.50724i −0.176515 0.305732i 0.764170 0.645015i \(-0.223149\pi\)
−0.940684 + 0.339283i \(0.889816\pi\)
\(968\) −0.666025 + 23.2922i −0.0214069 + 0.748639i
\(969\) 2.66559 + 2.21479i 0.0856309 + 0.0711494i
\(970\) 0.0161208 + 0.153380i 0.000517609 + 0.00492472i
\(971\) 4.03687 + 12.4242i 0.129549 + 0.398712i 0.994702 0.102796i \(-0.0327789\pi\)
−0.865153 + 0.501508i \(0.832779\pi\)
\(972\) 25.7996 + 2.99120i 0.827523 + 0.0959426i
\(973\) −11.2108 8.14510i −0.359401 0.261120i
\(974\) 12.0280 5.35523i 0.385403 0.171592i
\(975\) 23.2688 14.6970i 0.745197 0.470682i
\(976\) −19.3086 + 21.4444i −0.618053 + 0.686418i
\(977\) −10.1187 4.50514i −0.323726 0.144132i 0.238438 0.971158i \(-0.423365\pi\)
−0.562164 + 0.827025i \(0.690031\pi\)
\(978\) −5.46694 + 2.01982i −0.174813 + 0.0645869i
\(979\) −1.20395 + 6.95643i −0.0384785 + 0.222328i
\(980\) 28.2544 0.902554
\(981\) −11.3264 10.7278i −0.361623 0.342512i
\(982\) −7.79262 23.9832i −0.248673 0.765336i
\(983\) −17.6861 19.6424i −0.564100 0.626496i 0.391849 0.920029i \(-0.371835\pi\)
−0.955949 + 0.293533i \(0.905169\pi\)
\(984\) −15.2601 + 14.8799i −0.486473 + 0.474354i
\(985\) 6.48429 61.6939i 0.206607 1.96573i
\(986\) −1.36730 + 0.290629i −0.0435438 + 0.00925552i
\(987\) −0.654047 + 0.0951509i −0.0208185 + 0.00302869i
\(988\) −4.37673 41.6418i −0.139242 1.32480i
\(989\) 0.580083 0.0184456
\(990\) 13.8426 10.3314i 0.439946 0.328353i
\(991\) −18.9911 −0.603272 −0.301636 0.953423i \(-0.597533\pi\)
−0.301636 + 0.953423i \(0.597533\pi\)
\(992\) −3.72266 35.4188i −0.118195 1.12455i
\(993\) −13.2813 16.8307i −0.421470 0.534108i
\(994\) 5.73671 1.21937i 0.181957 0.0386762i
\(995\) 4.17250 39.6987i 0.132277 1.25853i
\(996\) −3.52841 13.8654i −0.111802 0.439342i
\(997\) 14.7966 + 16.4333i 0.468613 + 0.520447i 0.930401 0.366543i \(-0.119459\pi\)
−0.461788 + 0.886990i \(0.652792\pi\)
\(998\) −3.58956 11.0475i −0.113625 0.349703i
\(999\) −3.85903 32.2097i −0.122094 1.01907i
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 99.2.m.b.25.4 yes 72
3.2 odd 2 297.2.n.b.289.6 72
9.2 odd 6 891.2.f.e.487.6 36
9.4 even 3 inner 99.2.m.b.58.6 yes 72
9.5 odd 6 297.2.n.b.91.4 72
9.7 even 3 891.2.f.f.487.4 36
11.2 odd 10 1089.2.e.o.727.11 36
11.4 even 5 inner 99.2.m.b.70.6 yes 72
11.9 even 5 1089.2.e.p.727.8 36
33.26 odd 10 297.2.n.b.235.4 72
99.2 even 30 9801.2.a.cn.1.11 18
99.4 even 15 inner 99.2.m.b.4.4 72
99.13 odd 30 1089.2.e.o.364.11 36
99.20 odd 30 9801.2.a.cp.1.8 18
99.31 even 15 1089.2.e.p.364.8 36
99.59 odd 30 297.2.n.b.37.6 72
99.70 even 15 891.2.f.f.730.4 36
99.79 odd 30 9801.2.a.co.1.8 18
99.92 odd 30 891.2.f.e.730.6 36
99.97 even 15 9801.2.a.cm.1.11 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
99.2.m.b.4.4 72 99.4 even 15 inner
99.2.m.b.25.4 yes 72 1.1 even 1 trivial
99.2.m.b.58.6 yes 72 9.4 even 3 inner
99.2.m.b.70.6 yes 72 11.4 even 5 inner
297.2.n.b.37.6 72 99.59 odd 30
297.2.n.b.91.4 72 9.5 odd 6
297.2.n.b.235.4 72 33.26 odd 10
297.2.n.b.289.6 72 3.2 odd 2
891.2.f.e.487.6 36 9.2 odd 6
891.2.f.e.730.6 36 99.92 odd 30
891.2.f.f.487.4 36 9.7 even 3
891.2.f.f.730.4 36 99.70 even 15
1089.2.e.o.364.11 36 99.13 odd 30
1089.2.e.o.727.11 36 11.2 odd 10
1089.2.e.p.364.8 36 99.31 even 15
1089.2.e.p.727.8 36 11.9 even 5
9801.2.a.cm.1.11 18 99.97 even 15
9801.2.a.cn.1.11 18 99.2 even 30
9801.2.a.co.1.8 18 99.79 odd 30
9801.2.a.cp.1.8 18 99.20 odd 30