Properties

Label 539.2.r.a.23.9
Level $539$
Weight $2$
Character 539.23
Analytic conductor $4.304$
Analytic rank $0$
Dimension $276$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [539,2,Mod(23,539)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(539, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([38, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("539.23");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 539 = 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 539.r (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.30393666895\)
Analytic rank: \(0\)
Dimension: \(276\)
Relative dimension: \(23\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 23.9
Character \(\chi\) \(=\) 539.23
Dual form 539.2.r.a.375.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0414087 + 0.552561i) q^{2} +(2.45816 - 0.758241i) q^{3} +(1.67405 + 0.252323i) q^{4} +(-0.520559 - 0.483008i) q^{5} +(0.317185 + 1.38968i) q^{6} +(0.112603 + 2.64335i) q^{7} +(-0.455347 + 1.99500i) q^{8} +(2.98889 - 2.03779i) q^{9} +O(q^{10})\) \(q+(-0.0414087 + 0.552561i) q^{2} +(2.45816 - 0.758241i) q^{3} +(1.67405 + 0.252323i) q^{4} +(-0.520559 - 0.483008i) q^{5} +(0.317185 + 1.38968i) q^{6} +(0.112603 + 2.64335i) q^{7} +(-0.455347 + 1.99500i) q^{8} +(2.98889 - 2.03779i) q^{9} +(0.288447 - 0.267640i) q^{10} +(-0.826239 - 0.563320i) q^{11} +(4.30640 - 0.649086i) q^{12} +(0.219810 - 0.105855i) q^{13} +(-1.46528 - 0.0472379i) q^{14} +(-1.64585 - 0.792601i) q^{15} +(2.15199 + 0.663801i) q^{16} +(-1.01801 + 2.59384i) q^{17} +(1.00224 + 1.73592i) q^{18} +(0.350860 - 0.607707i) q^{19} +(-0.749569 - 0.939930i) q^{20} +(2.28109 + 6.41240i) q^{21} +(0.345482 - 0.433221i) q^{22} +(-0.0832406 - 0.212094i) q^{23} +(0.393380 + 5.24929i) q^{24} +(-0.335966 - 4.48315i) q^{25} +(0.0493893 + 0.125842i) q^{26} +(0.990339 - 1.24185i) q^{27} +(-0.478475 + 4.45353i) q^{28} +(-4.24278 - 5.32028i) q^{29} +(0.506113 - 0.876613i) q^{30} +(-2.95954 - 5.12608i) q^{31} +(-1.95110 + 4.97133i) q^{32} +(-2.45816 - 0.758241i) q^{33} +(-1.39110 - 0.669920i) q^{34} +(1.21815 - 1.43041i) q^{35} +(5.51773 - 2.65720i) q^{36} +(10.1949 - 1.53664i) q^{37} +(0.321267 + 0.219036i) q^{38} +(0.460064 - 0.426877i) q^{39} +(1.20064 - 0.818581i) q^{40} +(-0.337119 + 1.47702i) q^{41} +(-3.63770 + 0.994915i) q^{42} +(-2.26714 - 9.93297i) q^{43} +(-1.24103 - 1.15151i) q^{44} +(-2.54016 - 0.382868i) q^{45} +(0.120642 - 0.0372130i) q^{46} +(0.549528 - 7.33294i) q^{47} +5.79325 q^{48} +(-6.97464 + 0.595299i) q^{49} +2.49113 q^{50} +(-0.535666 + 7.14797i) q^{51} +(0.394683 - 0.121744i) q^{52} +(-8.20161 - 1.23619i) q^{53} +(0.645187 + 0.598646i) q^{54} +(0.158018 + 0.692322i) q^{55} +(-5.32477 - 0.978999i) q^{56} +(0.401680 - 1.75988i) q^{57} +(3.11547 - 2.12409i) q^{58} +(-8.84215 + 8.20432i) q^{59} +(-2.55525 - 1.74214i) q^{60} +(-2.72716 + 0.411053i) q^{61} +(2.95502 - 1.42306i) q^{62} +(5.72315 + 7.67122i) q^{63} +(1.39187 + 0.670289i) q^{64} +(-0.165553 - 0.0510663i) q^{65} +(0.520763 - 1.32688i) q^{66} +(6.77862 + 11.7409i) q^{67} +(-2.35869 + 4.08536i) q^{68} +(-0.365436 - 0.458243i) q^{69} +(0.739947 + 0.732331i) q^{70} +(5.64888 - 7.08348i) q^{71} +(2.70441 + 6.89074i) q^{72} +(0.846781 + 11.2995i) q^{73} +(0.426928 + 5.69695i) q^{74} +(-4.22516 - 10.7655i) q^{75} +(0.740696 - 0.928804i) q^{76} +(1.39602 - 2.24747i) q^{77} +(0.216825 + 0.271890i) q^{78} +(0.736194 - 1.27513i) q^{79} +(-0.799617 - 1.38498i) q^{80} +(-2.47203 + 6.29863i) q^{81} +(-0.802182 - 0.247440i) q^{82} +(11.0002 + 5.29744i) q^{83} +(2.20068 + 11.3103i) q^{84} +(1.78278 - 0.858543i) q^{85} +(5.58245 - 0.841419i) q^{86} +(-14.4635 - 9.86103i) q^{87} +(1.50005 - 1.39184i) q^{88} +(-8.10915 + 5.52873i) q^{89} +(0.316742 - 1.38774i) q^{90} +(0.304564 + 0.569116i) q^{91} +(-0.0858331 - 0.376059i) q^{92} +(-11.1618 - 10.3567i) q^{93} +(4.02914 + 0.607295i) q^{94} +(-0.476171 + 0.146879i) q^{95} +(-1.02665 + 13.6997i) q^{96} +3.08870 q^{97} +(-0.0401280 - 3.87857i) q^{98} -3.61746 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 276 q - q^{3} + 24 q^{4} - 2 q^{5} - 12 q^{6} - 2 q^{7} + 6 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 276 q - q^{3} + 24 q^{4} - 2 q^{5} - 12 q^{6} - 2 q^{7} + 6 q^{8} + 6 q^{9} - 9 q^{10} - 23 q^{11} - 44 q^{12} + 43 q^{13} - 47 q^{14} + 6 q^{15} - 34 q^{16} - 3 q^{17} + 10 q^{18} + 59 q^{19} - 28 q^{20} + 25 q^{21} + 6 q^{23} + 2 q^{24} + 53 q^{25} + q^{26} - 4 q^{27} - 13 q^{28} - 28 q^{29} - 6 q^{30} - 3 q^{31} - 253 q^{32} + q^{33} - 50 q^{34} - 9 q^{35} - 76 q^{36} - 17 q^{37} + 8 q^{38} + 10 q^{39} - 59 q^{40} + 73 q^{41} - 12 q^{42} - 38 q^{44} - 9 q^{45} + 74 q^{46} - 87 q^{47} - 160 q^{48} - 60 q^{49} + 30 q^{50} + 128 q^{51} + 49 q^{52} + 21 q^{53} + 76 q^{54} - 4 q^{55} + 102 q^{56} - 41 q^{57} + 17 q^{58} + 36 q^{59} + 10 q^{60} + 11 q^{61} + 72 q^{62} - 201 q^{63} - 42 q^{64} - 215 q^{65} - 34 q^{66} - 8 q^{67} + 75 q^{68} + 6 q^{69} + 97 q^{70} + q^{71} - 95 q^{72} - 20 q^{73} + 154 q^{74} - 101 q^{75} - 27 q^{76} + 2 q^{77} - 87 q^{78} - 14 q^{79} - 124 q^{80} - 203 q^{81} - 15 q^{82} + 29 q^{83} - 96 q^{84} - 74 q^{85} + 63 q^{86} + 65 q^{87} + 3 q^{88} + 141 q^{89} + 491 q^{90} + 71 q^{91} + 41 q^{92} + 121 q^{93} + 116 q^{94} - 7 q^{95} - 141 q^{96} - 298 q^{97} - 102 q^{98} - 268 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(442\)
\(\chi(n)\) \(e\left(\frac{19}{21}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0414087 + 0.552561i −0.0292804 + 0.390720i 0.963240 + 0.268642i \(0.0865748\pi\)
−0.992521 + 0.122078i \(0.961044\pi\)
\(3\) 2.45816 0.758241i 1.41922 0.437770i 0.512201 0.858866i \(-0.328830\pi\)
0.907016 + 0.421095i \(0.138354\pi\)
\(4\) 1.67405 + 0.252323i 0.837026 + 0.126161i
\(5\) −0.520559 0.483008i −0.232801 0.216008i 0.555143 0.831755i \(-0.312664\pi\)
−0.787944 + 0.615747i \(0.788854\pi\)
\(6\) 0.317185 + 1.38968i 0.129490 + 0.567334i
\(7\) 0.112603 + 2.64335i 0.0425599 + 0.999094i
\(8\) −0.455347 + 1.99500i −0.160989 + 0.705340i
\(9\) 2.98889 2.03779i 0.996295 0.679263i
\(10\) 0.288447 0.267640i 0.0912150 0.0846352i
\(11\) −0.826239 0.563320i −0.249120 0.169847i
\(12\) 4.30640 0.649086i 1.24315 0.187375i
\(13\) 0.219810 0.105855i 0.0609644 0.0293589i −0.403153 0.915133i \(-0.632086\pi\)
0.464118 + 0.885774i \(0.346372\pi\)
\(14\) −1.46528 0.0472379i −0.391612 0.0126249i
\(15\) −1.64585 0.792601i −0.424957 0.204649i
\(16\) 2.15199 + 0.663801i 0.537998 + 0.165950i
\(17\) −1.01801 + 2.59384i −0.246903 + 0.629100i −0.999571 0.0293015i \(-0.990672\pi\)
0.752667 + 0.658401i \(0.228767\pi\)
\(18\) 1.00224 + 1.73592i 0.236229 + 0.409161i
\(19\) 0.350860 0.607707i 0.0804928 0.139418i −0.822969 0.568086i \(-0.807684\pi\)
0.903462 + 0.428669i \(0.141017\pi\)
\(20\) −0.749569 0.939930i −0.167609 0.210175i
\(21\) 2.28109 + 6.41240i 0.497776 + 1.39930i
\(22\) 0.345482 0.433221i 0.0736571 0.0923630i
\(23\) −0.0832406 0.212094i −0.0173569 0.0442246i 0.921933 0.387350i \(-0.126610\pi\)
−0.939290 + 0.343126i \(0.888514\pi\)
\(24\) 0.393380 + 5.24929i 0.0802984 + 1.07151i
\(25\) −0.335966 4.48315i −0.0671931 0.896630i
\(26\) 0.0493893 + 0.125842i 0.00968604 + 0.0246796i
\(27\) 0.990339 1.24185i 0.190591 0.238993i
\(28\) −0.478475 + 4.45353i −0.0904233 + 0.841637i
\(29\) −4.24278 5.32028i −0.787865 0.987951i −0.999943 0.0106985i \(-0.996595\pi\)
0.212078 0.977253i \(-0.431977\pi\)
\(30\) 0.506113 0.876613i 0.0924031 0.160047i
\(31\) −2.95954 5.12608i −0.531549 0.920671i −0.999322 0.0368216i \(-0.988277\pi\)
0.467772 0.883849i \(-0.345057\pi\)
\(32\) −1.95110 + 4.97133i −0.344910 + 0.878815i
\(33\) −2.45816 0.758241i −0.427910 0.131993i
\(34\) −1.39110 0.669920i −0.238572 0.114890i
\(35\) 1.21815 1.43041i 0.205904 0.241783i
\(36\) 5.51773 2.65720i 0.919622 0.442867i
\(37\) 10.1949 1.53664i 1.67604 0.252622i 0.758904 0.651203i \(-0.225735\pi\)
0.917133 + 0.398581i \(0.130497\pi\)
\(38\) 0.321267 + 0.219036i 0.0521163 + 0.0355323i
\(39\) 0.460064 0.426877i 0.0736692 0.0683550i
\(40\) 1.20064 0.818581i 0.189838 0.129429i
\(41\) −0.337119 + 1.47702i −0.0526492 + 0.230671i −0.994406 0.105623i \(-0.966316\pi\)
0.941757 + 0.336294i \(0.109174\pi\)
\(42\) −3.63770 + 0.994915i −0.561309 + 0.153519i
\(43\) −2.26714 9.93297i −0.345735 1.51476i −0.786754 0.617266i \(-0.788240\pi\)
0.441019 0.897498i \(-0.354617\pi\)
\(44\) −1.24103 1.15151i −0.187092 0.173596i
\(45\) −2.54016 0.382868i −0.378665 0.0570745i
\(46\) 0.120642 0.0372130i 0.0177876 0.00548676i
\(47\) 0.549528 7.33294i 0.0801569 1.06962i −0.801583 0.597883i \(-0.796009\pi\)
0.881740 0.471736i \(-0.156372\pi\)
\(48\) 5.79325 0.836183
\(49\) −6.97464 + 0.595299i −0.996377 + 0.0850427i
\(50\) 2.49113 0.352298
\(51\) −0.535666 + 7.14797i −0.0750083 + 1.00092i
\(52\) 0.394683 0.121744i 0.0547327 0.0168828i
\(53\) −8.20161 1.23619i −1.12658 0.169804i −0.440793 0.897609i \(-0.645303\pi\)
−0.685785 + 0.727805i \(0.740541\pi\)
\(54\) 0.645187 + 0.598646i 0.0877988 + 0.0814654i
\(55\) 0.158018 + 0.692322i 0.0213071 + 0.0933526i
\(56\) −5.32477 0.978999i −0.711553 0.130824i
\(57\) 0.401680 1.75988i 0.0532038 0.233101i
\(58\) 3.11547 2.12409i 0.409081 0.278907i
\(59\) −8.84215 + 8.20432i −1.15115 + 1.06811i −0.154363 + 0.988014i \(0.549333\pi\)
−0.996787 + 0.0800974i \(0.974477\pi\)
\(60\) −2.55525 1.74214i −0.329882 0.224909i
\(61\) −2.72716 + 0.411053i −0.349177 + 0.0526300i −0.321289 0.946981i \(-0.604116\pi\)
−0.0278878 + 0.999611i \(0.508878\pi\)
\(62\) 2.95502 1.42306i 0.375288 0.180729i
\(63\) 5.72315 + 7.67122i 0.721049 + 0.966483i
\(64\) 1.39187 + 0.670289i 0.173984 + 0.0837861i
\(65\) −0.165553 0.0510663i −0.0205343 0.00633400i
\(66\) 0.520763 1.32688i 0.0641015 0.163328i
\(67\) 6.77862 + 11.7409i 0.828140 + 1.43438i 0.899496 + 0.436930i \(0.143934\pi\)
−0.0713558 + 0.997451i \(0.522733\pi\)
\(68\) −2.35869 + 4.08536i −0.286033 + 0.495423i
\(69\) −0.365436 0.458243i −0.0439934 0.0551660i
\(70\) 0.739947 + 0.732331i 0.0884406 + 0.0875303i
\(71\) 5.64888 7.08348i 0.670399 0.840654i −0.324032 0.946046i \(-0.605038\pi\)
0.994431 + 0.105392i \(0.0336098\pi\)
\(72\) 2.70441 + 6.89074i 0.318718 + 0.812081i
\(73\) 0.846781 + 11.2995i 0.0991083 + 1.32251i 0.795985 + 0.605317i \(0.206954\pi\)
−0.696877 + 0.717191i \(0.745427\pi\)
\(74\) 0.426928 + 5.69695i 0.0496293 + 0.662258i
\(75\) −4.22516 10.7655i −0.487880 1.24310i
\(76\) 0.740696 0.928804i 0.0849637 0.106541i
\(77\) 1.39602 2.24747i 0.159091 0.256123i
\(78\) 0.216825 + 0.271890i 0.0245506 + 0.0307855i
\(79\) 0.736194 1.27513i 0.0828283 0.143463i −0.821635 0.570013i \(-0.806938\pi\)
0.904464 + 0.426550i \(0.140271\pi\)
\(80\) −0.799617 1.38498i −0.0893999 0.154845i
\(81\) −2.47203 + 6.29863i −0.274670 + 0.699848i
\(82\) −0.802182 0.247440i −0.0885862 0.0273252i
\(83\) 11.0002 + 5.29744i 1.20743 + 0.581469i 0.925786 0.378049i \(-0.123405\pi\)
0.281648 + 0.959518i \(0.409119\pi\)
\(84\) 2.20068 + 11.3103i 0.240114 + 1.23405i
\(85\) 1.78278 0.858543i 0.193370 0.0931220i
\(86\) 5.58245 0.841419i 0.601971 0.0907326i
\(87\) −14.4635 9.86103i −1.55065 1.05721i
\(88\) 1.50005 1.39184i 0.159906 0.148371i
\(89\) −8.10915 + 5.52873i −0.859568 + 0.586044i −0.910895 0.412638i \(-0.864607\pi\)
0.0513266 + 0.998682i \(0.483655\pi\)
\(90\) 0.316742 1.38774i 0.0333876 0.146281i
\(91\) 0.304564 + 0.569116i 0.0319269 + 0.0596596i
\(92\) −0.0858331 0.376059i −0.00894872 0.0392069i
\(93\) −11.1618 10.3567i −1.15743 1.07393i
\(94\) 4.02914 + 0.607295i 0.415574 + 0.0626377i
\(95\) −0.476171 + 0.146879i −0.0488541 + 0.0150695i
\(96\) −1.02665 + 13.6997i −0.104782 + 1.39822i
\(97\) 3.08870 0.313610 0.156805 0.987630i \(-0.449881\pi\)
0.156805 + 0.987630i \(0.449881\pi\)
\(98\) −0.0401280 3.87857i −0.00405354 0.391794i
\(99\) −3.61746 −0.363568
\(100\) 0.568777 7.58980i 0.0568777 0.758980i
\(101\) 0.220250 0.0679382i 0.0219157 0.00676011i −0.283778 0.958890i \(-0.591588\pi\)
0.305694 + 0.952130i \(0.401112\pi\)
\(102\) −3.92751 0.591977i −0.388881 0.0586144i
\(103\) −1.07365 0.996198i −0.105789 0.0981583i 0.625505 0.780220i \(-0.284893\pi\)
−0.731294 + 0.682062i \(0.761083\pi\)
\(104\) 0.111091 + 0.486723i 0.0108934 + 0.0477271i
\(105\) 1.90980 4.43982i 0.186377 0.433282i
\(106\) 1.02269 4.48070i 0.0993325 0.435204i
\(107\) −2.12926 + 1.45170i −0.205843 + 0.140341i −0.661854 0.749633i \(-0.730230\pi\)
0.456011 + 0.889974i \(0.349278\pi\)
\(108\) 1.97122 1.82903i 0.189681 0.175998i
\(109\) 4.86865 + 3.31939i 0.466332 + 0.317940i 0.773590 0.633687i \(-0.218459\pi\)
−0.307258 + 0.951626i \(0.599412\pi\)
\(110\) −0.389093 + 0.0586464i −0.0370986 + 0.00559171i
\(111\) 23.8956 11.5075i 2.26807 1.09224i
\(112\) −1.51234 + 5.76322i −0.142903 + 0.544573i
\(113\) −6.19790 2.98475i −0.583049 0.280782i 0.119018 0.992892i \(-0.462025\pi\)
−0.702067 + 0.712110i \(0.747740\pi\)
\(114\) 0.955805 + 0.294827i 0.0895194 + 0.0276131i
\(115\) −0.0591113 + 0.150613i −0.00551216 + 0.0140448i
\(116\) −5.76021 9.97698i −0.534822 0.926339i
\(117\) 0.441277 0.764315i 0.0407961 0.0706609i
\(118\) −4.16725 5.22556i −0.383626 0.481052i
\(119\) −6.97108 2.39888i −0.639038 0.219905i
\(120\) 2.33067 2.92257i 0.212760 0.266793i
\(121\) 0.365341 + 0.930874i 0.0332128 + 0.0846249i
\(122\) −0.114204 1.52394i −0.0103395 0.137971i
\(123\) 0.291242 + 3.88635i 0.0262604 + 0.350421i
\(124\) −3.66100 9.32808i −0.328768 0.837687i
\(125\) −4.20429 + 5.27201i −0.376043 + 0.471543i
\(126\) −4.47581 + 2.84474i −0.398737 + 0.253429i
\(127\) −2.10373 2.63800i −0.186676 0.234084i 0.679683 0.733506i \(-0.262117\pi\)
−0.866359 + 0.499422i \(0.833546\pi\)
\(128\) −5.76851 + 9.99135i −0.509869 + 0.883119i
\(129\) −13.1046 22.6978i −1.15379 1.99843i
\(130\) 0.0350726 0.0893636i 0.00307607 0.00783770i
\(131\) −7.55450 2.33025i −0.660040 0.203595i −0.0534013 0.998573i \(-0.517006\pi\)
−0.606638 + 0.794978i \(0.707482\pi\)
\(132\) −3.92376 1.88958i −0.341520 0.164467i
\(133\) 1.64589 + 0.859017i 0.142717 + 0.0744862i
\(134\) −6.76826 + 3.25942i −0.584689 + 0.281571i
\(135\) −1.11535 + 0.168112i −0.0959942 + 0.0144688i
\(136\) −4.71118 3.21203i −0.403980 0.275429i
\(137\) 11.6019 10.7650i 0.991219 0.919716i −0.00555468 0.999985i \(-0.501768\pi\)
0.996773 + 0.0802681i \(0.0255776\pi\)
\(138\) 0.268339 0.182951i 0.0228426 0.0155738i
\(139\) −3.27976 + 14.3696i −0.278185 + 1.21881i 0.621900 + 0.783097i \(0.286361\pi\)
−0.900085 + 0.435713i \(0.856496\pi\)
\(140\) 2.40016 2.08722i 0.202851 0.176402i
\(141\) −4.20931 18.4422i −0.354488 1.55311i
\(142\) 3.68014 + 3.41467i 0.308831 + 0.286553i
\(143\) −0.241246 0.0363620i −0.0201740 0.00304074i
\(144\) 7.78474 2.40127i 0.648728 0.200106i
\(145\) −0.361121 + 4.81882i −0.0299894 + 0.400181i
\(146\) −6.27873 −0.519632
\(147\) −16.6934 + 6.75179i −1.37685 + 0.556879i
\(148\) 17.4546 1.43476
\(149\) 0.750197 10.0107i 0.0614586 0.820108i −0.878265 0.478174i \(-0.841299\pi\)
0.939724 0.341934i \(-0.111082\pi\)
\(150\) 6.12358 1.88887i 0.499988 0.154226i
\(151\) −0.652399 0.0983333i −0.0530914 0.00800225i 0.122443 0.992476i \(-0.460927\pi\)
−0.175534 + 0.984473i \(0.556165\pi\)
\(152\) 1.05261 + 0.976684i 0.0853783 + 0.0792195i
\(153\) 2.24299 + 9.82719i 0.181335 + 0.794481i
\(154\) 1.18406 + 0.864450i 0.0954142 + 0.0696594i
\(155\) −0.935321 + 4.09791i −0.0751268 + 0.329152i
\(156\) 0.877882 0.598530i 0.0702868 0.0479208i
\(157\) 0.0113915 0.0105698i 0.000909141 0.000843560i −0.679718 0.733474i \(-0.737898\pi\)
0.680627 + 0.732630i \(0.261707\pi\)
\(158\) 0.674100 + 0.459594i 0.0536285 + 0.0365633i
\(159\) −21.0982 + 3.18004i −1.67319 + 0.252193i
\(160\) 3.41686 1.64547i 0.270126 0.130086i
\(161\) 0.551265 0.243917i 0.0434458 0.0192233i
\(162\) −3.37801 1.62677i −0.265402 0.127811i
\(163\) −3.81850 1.17785i −0.299088 0.0922564i 0.141579 0.989927i \(-0.454782\pi\)
−0.440667 + 0.897670i \(0.645258\pi\)
\(164\) −0.937040 + 2.38754i −0.0731706 + 0.186436i
\(165\) 0.913379 + 1.58202i 0.0711065 + 0.123160i
\(166\) −3.38266 + 5.85895i −0.262546 + 0.454742i
\(167\) −3.22110 4.03913i −0.249256 0.312557i 0.641425 0.767186i \(-0.278344\pi\)
−0.890681 + 0.454628i \(0.849772\pi\)
\(168\) −13.8314 + 1.63093i −1.06712 + 0.125829i
\(169\) −8.06826 + 10.1173i −0.620635 + 0.778252i
\(170\) 0.400574 + 1.02065i 0.0307227 + 0.0782801i
\(171\) −0.189698 2.53134i −0.0145066 0.193577i
\(172\) −1.28899 17.2004i −0.0982845 1.31152i
\(173\) −5.07354 12.9272i −0.385734 0.982834i −0.983459 0.181132i \(-0.942024\pi\)
0.597725 0.801701i \(-0.296071\pi\)
\(174\) 6.04773 7.58362i 0.458478 0.574913i
\(175\) 11.8127 1.39289i 0.892958 0.105293i
\(176\) −1.40413 1.76072i −0.105840 0.132719i
\(177\) −15.5145 + 26.8720i −1.16614 + 2.01982i
\(178\) −2.71917 4.70974i −0.203810 0.353010i
\(179\) 2.64520 6.73985i 0.197711 0.503760i −0.797293 0.603592i \(-0.793735\pi\)
0.995004 + 0.0998325i \(0.0318307\pi\)
\(180\) −4.15576 1.28188i −0.309752 0.0955457i
\(181\) 4.35920 + 2.09928i 0.324017 + 0.156038i 0.588820 0.808264i \(-0.299593\pi\)
−0.264803 + 0.964302i \(0.585307\pi\)
\(182\) −0.327083 + 0.144724i −0.0242450 + 0.0107276i
\(183\) −6.39211 + 3.07828i −0.472518 + 0.227553i
\(184\) 0.461031 0.0694892i 0.0339877 0.00512281i
\(185\) −6.04928 4.12433i −0.444752 0.303227i
\(186\) 6.18488 5.73873i 0.453497 0.420784i
\(187\) 2.30228 1.56967i 0.168360 0.114786i
\(188\) 2.77021 12.1371i 0.202038 0.885187i
\(189\) 3.39415 + 2.47798i 0.246888 + 0.180247i
\(190\) −0.0614421 0.269196i −0.00445748 0.0195295i
\(191\) 16.7303 + 15.5234i 1.21056 + 1.12324i 0.988973 + 0.148094i \(0.0473139\pi\)
0.221586 + 0.975141i \(0.428877\pi\)
\(192\) 3.92967 + 0.592303i 0.283600 + 0.0427458i
\(193\) 3.87229 1.19444i 0.278734 0.0859780i −0.152237 0.988344i \(-0.548648\pi\)
0.430970 + 0.902366i \(0.358171\pi\)
\(194\) −0.127899 + 1.70670i −0.00918262 + 0.122534i
\(195\) −0.445676 −0.0319155
\(196\) −11.8261 0.763299i −0.844723 0.0545214i
\(197\) −14.5076 −1.03362 −0.516811 0.856100i \(-0.672881\pi\)
−0.516811 + 0.856100i \(0.672881\pi\)
\(198\) 0.149794 1.99887i 0.0106454 0.142053i
\(199\) −6.76797 + 2.08764i −0.479769 + 0.147989i −0.525201 0.850978i \(-0.676010\pi\)
0.0454320 + 0.998967i \(0.485534\pi\)
\(200\) 9.09688 + 1.37113i 0.643247 + 0.0969538i
\(201\) 25.5653 + 23.7212i 1.80324 + 1.67316i
\(202\) 0.0284197 + 0.124515i 0.00199961 + 0.00876085i
\(203\) 13.5856 11.8143i 0.953525 0.829198i
\(204\) −2.70033 + 11.8309i −0.189061 + 0.828330i
\(205\) 0.888902 0.606043i 0.0620836 0.0423279i
\(206\) 0.594918 0.552003i 0.0414499 0.0384599i
\(207\) −0.680999 0.464297i −0.0473327 0.0322709i
\(208\) 0.543296 0.0818887i 0.0376708 0.00567796i
\(209\) −0.632228 + 0.304465i −0.0437321 + 0.0210603i
\(210\) 2.37419 + 1.23913i 0.163835 + 0.0855078i
\(211\) 21.7737 + 10.4857i 1.49897 + 0.721864i 0.990280 0.139088i \(-0.0444170\pi\)
0.508686 + 0.860952i \(0.330131\pi\)
\(212\) −13.4180 4.13891i −0.921552 0.284261i
\(213\) 8.51486 21.6955i 0.583428 1.48655i
\(214\) −0.713985 1.23666i −0.0488070 0.0845362i
\(215\) −3.61753 + 6.26575i −0.246713 + 0.427320i
\(216\) 2.02654 + 2.54120i 0.137888 + 0.172907i
\(217\) 13.2168 8.40033i 0.897214 0.570251i
\(218\) −2.03577 + 2.55277i −0.137880 + 0.172896i
\(219\) 10.6493 + 27.1339i 0.719611 + 1.83354i
\(220\) 0.0898417 + 1.19885i 0.00605713 + 0.0808267i
\(221\) 0.0508027 + 0.677915i 0.00341736 + 0.0456015i
\(222\) 5.36912 + 13.6803i 0.360352 + 0.918161i
\(223\) 7.29544 9.14819i 0.488539 0.612608i −0.475063 0.879952i \(-0.657575\pi\)
0.963601 + 0.267344i \(0.0861460\pi\)
\(224\) −13.3607 4.59767i −0.892698 0.307195i
\(225\) −10.1399 12.7150i −0.675991 0.847666i
\(226\) 1.90590 3.30112i 0.126779 0.219587i
\(227\) 0.321715 + 0.557227i 0.0213530 + 0.0369845i 0.876504 0.481394i \(-0.159869\pi\)
−0.855151 + 0.518378i \(0.826536\pi\)
\(228\) 1.11649 2.84477i 0.0739414 0.188400i
\(229\) −2.49128 0.768459i −0.164629 0.0507812i 0.211345 0.977411i \(-0.432216\pi\)
−0.375974 + 0.926630i \(0.622692\pi\)
\(230\) −0.0807753 0.0388993i −0.00532616 0.00256495i
\(231\) 1.72750 6.58316i 0.113661 0.433140i
\(232\) 12.5459 6.04179i 0.823680 0.396663i
\(233\) 20.9440 3.15680i 1.37209 0.206809i 0.578708 0.815535i \(-0.303557\pi\)
0.793381 + 0.608726i \(0.208319\pi\)
\(234\) 0.404058 + 0.275482i 0.0264141 + 0.0180088i
\(235\) −3.82793 + 3.55180i −0.249707 + 0.231694i
\(236\) −16.8724 + 11.5034i −1.09830 + 0.748807i
\(237\) 0.842828 3.69267i 0.0547476 0.239865i
\(238\) 1.61419 3.75261i 0.104633 0.243246i
\(239\) −0.790476 3.46330i −0.0511316 0.224022i 0.942906 0.333059i \(-0.108081\pi\)
−0.994038 + 0.109036i \(0.965224\pi\)
\(240\) −3.01573 2.79819i −0.194664 0.180622i
\(241\) 11.9417 + 1.79993i 0.769234 + 0.115943i 0.521923 0.852993i \(-0.325215\pi\)
0.247311 + 0.968936i \(0.420453\pi\)
\(242\) −0.529493 + 0.163327i −0.0340371 + 0.0104991i
\(243\) −1.65686 + 22.1092i −0.106287 + 1.41831i
\(244\) −4.66913 −0.298910
\(245\) 3.91825 + 3.05892i 0.250328 + 0.195427i
\(246\) −2.15951 −0.137685
\(247\) 0.0127937 0.170720i 0.000814046 0.0108627i
\(248\) 11.5742 3.57015i 0.734960 0.226705i
\(249\) 31.0570 + 4.68110i 1.96816 + 0.296652i
\(250\) −2.73901 2.54143i −0.173231 0.160734i
\(251\) −3.75535 16.4532i −0.237035 1.03852i −0.943656 0.330927i \(-0.892638\pi\)
0.706621 0.707592i \(-0.250219\pi\)
\(252\) 7.64523 + 14.2861i 0.481604 + 0.899940i
\(253\) −0.0507000 + 0.222131i −0.00318748 + 0.0139653i
\(254\) 1.54477 1.05320i 0.0969273 0.0660839i
\(255\) 3.73137 3.46221i 0.233668 0.216812i
\(256\) −2.72912 1.86068i −0.170570 0.116293i
\(257\) 11.7556 1.77187i 0.733295 0.110526i 0.228229 0.973607i \(-0.426706\pi\)
0.505066 + 0.863081i \(0.331468\pi\)
\(258\) 13.0845 6.30118i 0.814608 0.392295i
\(259\) 5.20986 + 26.7758i 0.323725 + 1.66377i
\(260\) −0.264259 0.127261i −0.0163887 0.00789236i
\(261\) −23.5228 7.25582i −1.45602 0.449124i
\(262\) 1.60043 4.07783i 0.0988749 0.251929i
\(263\) 14.4532 + 25.0336i 0.891220 + 1.54364i 0.838415 + 0.545033i \(0.183483\pi\)
0.0528050 + 0.998605i \(0.483184\pi\)
\(264\) 2.63201 4.55877i 0.161989 0.280573i
\(265\) 3.67233 + 4.60496i 0.225589 + 0.282880i
\(266\) −0.542814 + 0.873886i −0.0332821 + 0.0535814i
\(267\) −15.7415 + 19.7392i −0.963361 + 1.20802i
\(268\) 8.38526 + 21.3653i 0.512211 + 1.30509i
\(269\) 1.72519 + 23.0211i 0.105187 + 1.40362i 0.761026 + 0.648721i \(0.224696\pi\)
−0.655839 + 0.754901i \(0.727685\pi\)
\(270\) −0.0467070 0.623261i −0.00284250 0.0379305i
\(271\) −11.0543 28.1658i −0.671500 1.71095i −0.702745 0.711442i \(-0.748043\pi\)
0.0312456 0.999512i \(-0.490053\pi\)
\(272\) −3.91254 + 4.90617i −0.237233 + 0.297480i
\(273\) 1.18019 + 1.16804i 0.0714285 + 0.0706933i
\(274\) 5.46790 + 6.85653i 0.330328 + 0.414218i
\(275\) −2.24786 + 3.89341i −0.135551 + 0.234781i
\(276\) −0.496135 0.859331i −0.0298638 0.0517256i
\(277\) −8.05549 + 20.5251i −0.484008 + 1.23323i 0.455356 + 0.890309i \(0.349512\pi\)
−0.939364 + 0.342922i \(0.888583\pi\)
\(278\) −7.80425 2.40729i −0.468068 0.144380i
\(279\) −19.2916 9.29034i −1.15496 0.556198i
\(280\) 2.29900 + 3.08154i 0.137391 + 0.184157i
\(281\) 16.4863 7.93938i 0.983489 0.473623i 0.128185 0.991750i \(-0.459085\pi\)
0.855304 + 0.518127i \(0.173370\pi\)
\(282\) 10.3647 1.56223i 0.617211 0.0930296i
\(283\) −23.7195 16.1717i −1.40998 0.961306i −0.998761 0.0497676i \(-0.984152\pi\)
−0.411216 0.911538i \(-0.634896\pi\)
\(284\) 11.2439 10.4328i 0.667200 0.619071i
\(285\) −1.05913 + 0.722104i −0.0627376 + 0.0427738i
\(286\) 0.0300819 0.131797i 0.00177878 0.00779334i
\(287\) −3.94224 0.724809i −0.232703 0.0427841i
\(288\) 4.29889 + 18.8347i 0.253315 + 1.10984i
\(289\) 6.77020 + 6.28182i 0.398247 + 0.369519i
\(290\) −2.64774 0.399082i −0.155481 0.0234349i
\(291\) 7.59251 2.34198i 0.445081 0.137289i
\(292\) −1.43357 + 19.1296i −0.0838932 + 1.11948i
\(293\) 3.67805 0.214874 0.107437 0.994212i \(-0.465736\pi\)
0.107437 + 0.994212i \(0.465736\pi\)
\(294\) −3.03953 9.50369i −0.177269 0.554267i
\(295\) 8.56562 0.498710
\(296\) −1.57663 + 21.0386i −0.0916396 + 1.22285i
\(297\) −1.51781 + 0.468183i −0.0880724 + 0.0271667i
\(298\) 5.50045 + 0.829060i 0.318633 + 0.0480261i
\(299\) −0.0407483 0.0378089i −0.00235654 0.00218655i
\(300\) −4.35675 19.0882i −0.251537 1.10206i
\(301\) 26.0011 7.11133i 1.49868 0.409890i
\(302\) 0.0813501 0.356418i 0.00468117 0.0205096i
\(303\) 0.489896 0.334006i 0.0281438 0.0191881i
\(304\) 1.15844 1.07488i 0.0664413 0.0616485i
\(305\) 1.61819 + 1.10326i 0.0926573 + 0.0631727i
\(306\) −5.52300 + 0.832459i −0.315729 + 0.0475885i
\(307\) −24.5423 + 11.8189i −1.40070 + 0.674542i −0.973304 0.229522i \(-0.926284\pi\)
−0.427398 + 0.904064i \(0.640570\pi\)
\(308\) 2.90410 3.41014i 0.165476 0.194311i
\(309\) −3.39455 1.63473i −0.193109 0.0929964i
\(310\) −2.22561 0.686511i −0.126406 0.0389912i
\(311\) −8.49055 + 21.6336i −0.481455 + 1.22673i 0.459495 + 0.888180i \(0.348030\pi\)
−0.940950 + 0.338546i \(0.890065\pi\)
\(312\) 0.642133 + 1.11221i 0.0363536 + 0.0629663i
\(313\) −5.33182 + 9.23498i −0.301372 + 0.521992i −0.976447 0.215757i \(-0.930778\pi\)
0.675075 + 0.737749i \(0.264111\pi\)
\(314\) 0.00536874 + 0.00673218i 0.000302975 + 0.000379919i
\(315\) 0.726025 6.75765i 0.0409069 0.380751i
\(316\) 1.55417 1.94887i 0.0874290 0.109632i
\(317\) 7.44551 + 18.9708i 0.418181 + 1.06551i 0.972438 + 0.233163i \(0.0749075\pi\)
−0.554256 + 0.832346i \(0.686997\pi\)
\(318\) −0.883516 11.7897i −0.0495451 0.661134i
\(319\) 0.508530 + 6.78587i 0.0284722 + 0.379936i
\(320\) −0.400795 1.02121i −0.0224051 0.0570873i
\(321\) −4.13331 + 5.18300i −0.230699 + 0.289287i
\(322\) 0.111952 + 0.314708i 0.00623883 + 0.0175380i
\(323\) 1.21912 + 1.52873i 0.0678336 + 0.0850606i
\(324\) −5.72760 + 9.92049i −0.318200 + 0.551138i
\(325\) −0.548413 0.949878i −0.0304205 0.0526898i
\(326\) 0.808954 2.06118i 0.0448038 0.114158i
\(327\) 14.4848 + 4.46796i 0.801010 + 0.247079i
\(328\) −2.79315 1.34511i −0.154226 0.0742712i
\(329\) 19.4454 + 0.626886i 1.07206 + 0.0345613i
\(330\) −0.911984 + 0.439188i −0.0502031 + 0.0241765i
\(331\) 2.45317 0.369756i 0.134838 0.0203236i −0.0812762 0.996692i \(-0.525900\pi\)
0.216115 + 0.976368i \(0.430661\pi\)
\(332\) 17.0783 + 11.6438i 0.937295 + 0.639037i
\(333\) 27.3402 25.3680i 1.49823 1.39016i
\(334\) 2.36525 1.61260i 0.129421 0.0882375i
\(335\) 2.14229 9.38597i 0.117046 0.512810i
\(336\) 0.652337 + 15.3136i 0.0355879 + 0.835426i
\(337\) −2.92557 12.8178i −0.159366 0.698227i −0.989960 0.141349i \(-0.954856\pi\)
0.830594 0.556878i \(-0.188001\pi\)
\(338\) −5.25632 4.87715i −0.285906 0.265282i
\(339\) −17.4986 2.63748i −0.950391 0.143248i
\(340\) 3.20110 0.987409i 0.173604 0.0535498i
\(341\) −0.442334 + 5.90253i −0.0239537 + 0.319640i
\(342\) 1.40658 0.0760590
\(343\) −2.35895 18.3694i −0.127371 0.991855i
\(344\) 20.8486 1.12408
\(345\) −0.0311038 + 0.415051i −0.00167457 + 0.0223456i
\(346\) 7.35313 2.26814i 0.395307 0.121936i
\(347\) −16.9525 2.55518i −0.910059 0.137169i −0.322705 0.946500i \(-0.604592\pi\)
−0.587354 + 0.809330i \(0.699830\pi\)
\(348\) −21.7245 20.1573i −1.16455 1.08055i
\(349\) −2.42007 10.6030i −0.129543 0.567566i −0.997484 0.0708975i \(-0.977414\pi\)
0.867940 0.496668i \(-0.165443\pi\)
\(350\) 0.280508 + 6.58493i 0.0149938 + 0.351979i
\(351\) 0.0862310 0.377803i 0.00460267 0.0201656i
\(352\) 4.41253 3.00841i 0.235188 0.160349i
\(353\) 15.6281 14.5007i 0.831798 0.771796i −0.144206 0.989548i \(-0.546063\pi\)
0.976004 + 0.217752i \(0.0698723\pi\)
\(354\) −14.2060 9.68547i −0.755039 0.514777i
\(355\) −6.36196 + 0.958911i −0.337658 + 0.0508937i
\(356\) −14.9702 + 7.20925i −0.793418 + 0.382090i
\(357\) −18.9549 0.611073i −1.00320 0.0323414i
\(358\) 3.61464 + 1.74072i 0.191040 + 0.0919999i
\(359\) −23.4884 7.24520i −1.23967 0.382387i −0.395501 0.918466i \(-0.629429\pi\)
−0.844168 + 0.536079i \(0.819905\pi\)
\(360\) 1.92048 4.89329i 0.101218 0.257899i
\(361\) 9.25379 + 16.0280i 0.487042 + 0.843581i
\(362\) −1.34049 + 2.32180i −0.0704545 + 0.122031i
\(363\) 1.60389 + 2.01122i 0.0841825 + 0.105561i
\(364\) 0.366254 + 1.02958i 0.0191969 + 0.0539646i
\(365\) 5.01696 6.29107i 0.262600 0.329289i
\(366\) −1.43625 3.65950i −0.0750739 0.191285i
\(367\) −0.965208 12.8798i −0.0503834 0.672320i −0.964027 0.265804i \(-0.914363\pi\)
0.913644 0.406516i \(-0.133256\pi\)
\(368\) −0.0383450 0.511679i −0.00199887 0.0266731i
\(369\) 2.00223 + 5.10161i 0.104232 + 0.265579i
\(370\) 2.52944 3.17181i 0.131499 0.164895i
\(371\) 2.34417 21.8190i 0.121703 1.13278i
\(372\) −16.0722 20.1540i −0.833307 1.04493i
\(373\) 6.06212 10.4999i 0.313885 0.543664i −0.665315 0.746563i \(-0.731703\pi\)
0.979200 + 0.202898i \(0.0650361\pi\)
\(374\) 0.772004 + 1.33715i 0.0399194 + 0.0691424i
\(375\) −6.33735 + 16.1473i −0.327259 + 0.833843i
\(376\) 14.3790 + 4.43534i 0.741541 + 0.228735i
\(377\) −1.49578 0.720332i −0.0770368 0.0370990i
\(378\) −1.50978 + 1.77287i −0.0776549 + 0.0911864i
\(379\) 30.7998 14.8324i 1.58208 0.761889i 0.583347 0.812223i \(-0.301743\pi\)
0.998732 + 0.0503342i \(0.0160286\pi\)
\(380\) −0.834196 + 0.125735i −0.0427934 + 0.00645006i
\(381\) −7.17154 4.88947i −0.367409 0.250495i
\(382\) −9.27042 + 8.60169i −0.474316 + 0.440101i
\(383\) 2.88161 1.96465i 0.147243 0.100389i −0.487458 0.873147i \(-0.662076\pi\)
0.634701 + 0.772758i \(0.281123\pi\)
\(384\) −6.60405 + 28.9342i −0.337011 + 1.47654i
\(385\) −1.81226 + 0.495655i −0.0923612 + 0.0252609i
\(386\) 0.499657 + 2.18914i 0.0254319 + 0.111424i
\(387\) −27.0175 25.0686i −1.37338 1.27431i
\(388\) 5.17065 + 0.779350i 0.262500 + 0.0395655i
\(389\) −6.95473 + 2.14525i −0.352619 + 0.108769i −0.466004 0.884783i \(-0.654307\pi\)
0.113385 + 0.993551i \(0.463831\pi\)
\(390\) 0.0184549 0.246263i 0.000934498 0.0124700i
\(391\) 0.634878 0.0321071
\(392\) 1.98826 14.1855i 0.100422 0.716476i
\(393\) −20.3370 −1.02587
\(394\) 0.600740 8.01632i 0.0302648 0.403856i
\(395\) −0.999129 + 0.308190i −0.0502716 + 0.0155067i
\(396\) −6.05582 0.912768i −0.304316 0.0458683i
\(397\) 11.5339 + 10.7019i 0.578872 + 0.537114i 0.914345 0.404935i \(-0.132706\pi\)
−0.335474 + 0.942050i \(0.608896\pi\)
\(398\) −0.873297 3.82616i −0.0437744 0.191788i
\(399\) 4.69720 + 0.863615i 0.235154 + 0.0432348i
\(400\) 2.25293 9.87071i 0.112646 0.493535i
\(401\) −1.03332 + 0.704503i −0.0516014 + 0.0351812i −0.588846 0.808245i \(-0.700418\pi\)
0.537245 + 0.843426i \(0.319465\pi\)
\(402\) −14.1660 + 13.1441i −0.706537 + 0.655570i
\(403\) −1.19316 0.813481i −0.0594354 0.0405224i
\(404\) 0.385853 0.0581580i 0.0191969 0.00289347i
\(405\) 4.32913 2.08480i 0.215116 0.103594i
\(406\) 5.96553 + 7.99611i 0.296064 + 0.396840i
\(407\) −9.28907 4.47338i −0.460442 0.221737i
\(408\) −14.0163 4.32346i −0.693911 0.214043i
\(409\) −10.9047 + 27.7846i −0.539201 + 1.37386i 0.358613 + 0.933486i \(0.383250\pi\)
−0.897814 + 0.440375i \(0.854846\pi\)
\(410\) 0.298067 + 0.516268i 0.0147205 + 0.0254967i
\(411\) 20.3569 35.2591i 1.00413 1.73920i
\(412\) −1.54598 1.93859i −0.0761648 0.0955076i
\(413\) −22.6826 22.4491i −1.11614 1.10465i
\(414\) 0.284752 0.357067i 0.0139948 0.0175489i
\(415\) −3.16757 8.07084i −0.155490 0.396182i
\(416\) 0.0973678 + 1.29928i 0.00477385 + 0.0637026i
\(417\) 2.83343 + 37.8095i 0.138754 + 1.85154i
\(418\) −0.142056 0.361952i −0.00694817 0.0177036i
\(419\) 5.83248 7.31370i 0.284935 0.357298i −0.618679 0.785643i \(-0.712332\pi\)
0.903615 + 0.428346i \(0.140903\pi\)
\(420\) 4.31737 6.95061i 0.210666 0.339155i
\(421\) 13.4911 + 16.9173i 0.657516 + 0.824499i 0.993070 0.117522i \(-0.0374949\pi\)
−0.335554 + 0.942021i \(0.608924\pi\)
\(422\) −6.69560 + 11.5971i −0.325937 + 0.564539i
\(423\) −13.3005 23.0371i −0.646692 1.12010i
\(424\) 6.20078 15.7993i 0.301137 0.767284i
\(425\) 11.9706 + 3.69244i 0.580660 + 0.179110i
\(426\) 11.6355 + 5.60336i 0.563742 + 0.271484i
\(427\) −1.39365 7.16257i −0.0674433 0.346621i
\(428\) −3.93079 + 1.89297i −0.190002 + 0.0915001i
\(429\) −0.620591 + 0.0935391i −0.0299624 + 0.00451611i
\(430\) −3.31241 2.25836i −0.159739 0.108908i
\(431\) 10.4261 9.67404i 0.502209 0.465982i −0.387918 0.921694i \(-0.626806\pi\)
0.890127 + 0.455712i \(0.150615\pi\)
\(432\) 2.95554 2.01505i 0.142198 0.0969492i
\(433\) 3.23806 14.1869i 0.155611 0.681778i −0.835583 0.549364i \(-0.814870\pi\)
0.991195 0.132414i \(-0.0422728\pi\)
\(434\) 4.09440 + 7.65093i 0.196538 + 0.367256i
\(435\) 2.76613 + 12.1192i 0.132626 + 0.581072i
\(436\) 7.31281 + 6.78530i 0.350220 + 0.324957i
\(437\) −0.158097 0.0238292i −0.00756279 0.00113991i
\(438\) −15.4341 + 4.76079i −0.737470 + 0.227479i
\(439\) 2.06666 27.5777i 0.0986364 1.31621i −0.699890 0.714251i \(-0.746768\pi\)
0.798526 0.601960i \(-0.205613\pi\)
\(440\) −1.45314 −0.0692756
\(441\) −19.6333 + 15.9921i −0.934920 + 0.761529i
\(442\) −0.376693 −0.0179175
\(443\) 0.203724 2.71851i 0.00967923 0.129160i −0.990271 0.139153i \(-0.955562\pi\)
0.999950 + 0.00999307i \(0.00318095\pi\)
\(444\) 42.9061 13.2348i 2.03623 0.628095i
\(445\) 6.89171 + 1.03876i 0.326699 + 0.0492419i
\(446\) 4.75284 + 4.40999i 0.225053 + 0.208819i
\(447\) −5.74641 25.1767i −0.271796 1.19082i
\(448\) −1.61508 + 3.75468i −0.0763055 + 0.177392i
\(449\) −4.89836 + 21.4611i −0.231168 + 1.01281i 0.717505 + 0.696553i \(0.245284\pi\)
−0.948673 + 0.316259i \(0.897573\pi\)
\(450\) 7.44569 5.07639i 0.350993 0.239303i
\(451\) 1.11057 1.03046i 0.0522949 0.0485226i
\(452\) −9.62248 6.56050i −0.452604 0.308580i
\(453\) −1.67826 + 0.252957i −0.0788514 + 0.0118849i
\(454\) −0.321224 + 0.154693i −0.0150758 + 0.00726011i
\(455\) 0.116345 0.443365i 0.00545432 0.0207853i
\(456\) 3.32805 + 1.60271i 0.155850 + 0.0750536i
\(457\) −7.40782 2.28501i −0.346523 0.106888i 0.116608 0.993178i \(-0.462798\pi\)
−0.463131 + 0.886290i \(0.653274\pi\)
\(458\) 0.527782 1.34477i 0.0246616 0.0628368i
\(459\) 2.21298 + 3.83299i 0.103293 + 0.178909i
\(460\) −0.136959 + 0.237219i −0.00638573 + 0.0110604i
\(461\) 19.4530 + 24.3933i 0.906018 + 1.13611i 0.990199 + 0.139660i \(0.0446010\pi\)
−0.0841814 + 0.996450i \(0.526828\pi\)
\(462\) 3.56606 + 1.22715i 0.165908 + 0.0570922i
\(463\) 14.8518 18.6236i 0.690224 0.865513i −0.306027 0.952023i \(-0.599000\pi\)
0.996251 + 0.0865096i \(0.0275713\pi\)
\(464\) −5.59882 14.2656i −0.259919 0.662262i
\(465\) 0.808037 + 10.7825i 0.0374718 + 0.500026i
\(466\) 0.877061 + 11.7036i 0.0406291 + 0.542157i
\(467\) 10.9087 + 27.7949i 0.504795 + 1.28620i 0.925413 + 0.378959i \(0.123718\pi\)
−0.420619 + 0.907238i \(0.638187\pi\)
\(468\) 0.931576 1.16816i 0.0430621 0.0539982i
\(469\) −30.2721 + 19.2403i −1.39784 + 0.888437i
\(470\) −1.80408 2.26224i −0.0832159 0.104349i
\(471\) 0.0199877 0.0346197i 0.000920983 0.00159519i
\(472\) −12.3414 21.3759i −0.568059 0.983907i
\(473\) −3.72225 + 9.48413i −0.171149 + 0.436081i
\(474\) 2.00553 + 0.618623i 0.0921168 + 0.0284143i
\(475\) −2.84232 1.36879i −0.130415 0.0628043i
\(476\) −11.0647 5.77482i −0.507148 0.264688i
\(477\) −27.0328 + 13.0183i −1.23775 + 0.596067i
\(478\) 1.94642 0.293375i 0.0890271 0.0134187i
\(479\) 6.65678 + 4.53851i 0.304156 + 0.207370i 0.705774 0.708437i \(-0.250600\pi\)
−0.401618 + 0.915807i \(0.631552\pi\)
\(480\) 7.15150 6.63563i 0.326420 0.302874i
\(481\) 2.07829 1.41695i 0.0947618 0.0646075i
\(482\) −1.48906 + 6.52400i −0.0678248 + 0.297160i
\(483\) 1.17015 1.01758i 0.0532436 0.0463014i
\(484\) 0.376719 + 1.65052i 0.0171236 + 0.0750234i
\(485\) −1.60785 1.49187i −0.0730087 0.0677422i
\(486\) −12.1481 1.83103i −0.551049 0.0830572i
\(487\) −16.4072 + 5.06096i −0.743483 + 0.229334i −0.643278 0.765633i \(-0.722426\pi\)
−0.100205 + 0.994967i \(0.531950\pi\)
\(488\) 0.421750 5.62787i 0.0190917 0.254762i
\(489\) −10.2796 −0.464858
\(490\) −1.85249 + 2.03840i −0.0836870 + 0.0920857i
\(491\) −12.3643 −0.557994 −0.278997 0.960292i \(-0.590002\pi\)
−0.278997 + 0.960292i \(0.590002\pi\)
\(492\) −0.493061 + 6.57945i −0.0222289 + 0.296624i
\(493\) 18.1192 5.58902i 0.816046 0.251717i
\(494\) 0.0938037 + 0.0141386i 0.00422043 + 0.000636127i
\(495\) 1.88310 + 1.74726i 0.0846391 + 0.0785336i
\(496\) −2.96621 12.9958i −0.133187 0.583529i
\(497\) 19.3602 + 14.1344i 0.868424 + 0.634014i
\(498\) −3.87262 + 16.9671i −0.173536 + 0.760313i
\(499\) 21.5456 14.6896i 0.964514 0.657595i 0.0248495 0.999691i \(-0.492089\pi\)
0.939665 + 0.342096i \(0.111137\pi\)
\(500\) −8.36845 + 7.76479i −0.374249 + 0.347252i
\(501\) −10.9806 7.48644i −0.490577 0.334470i
\(502\) 9.24693 1.39375i 0.412711 0.0622061i
\(503\) 21.6438 10.4231i 0.965047 0.464742i 0.116110 0.993236i \(-0.462957\pi\)
0.848937 + 0.528494i \(0.177243\pi\)
\(504\) −17.9101 + 7.92464i −0.797781 + 0.352992i
\(505\) −0.147468 0.0710169i −0.00656224 0.00316021i
\(506\) −0.120642 0.0372130i −0.00536317 0.00165432i
\(507\) −12.1617 + 30.9875i −0.540120 + 1.37620i
\(508\) −2.85613 4.94697i −0.126720 0.219486i
\(509\) −9.64512 + 16.7058i −0.427512 + 0.740473i −0.996651 0.0817684i \(-0.973943\pi\)
0.569139 + 0.822241i \(0.307277\pi\)
\(510\) 1.75857 + 2.20518i 0.0778708 + 0.0976469i
\(511\) −29.7733 + 3.51070i −1.31709 + 0.155304i
\(512\) −13.2453 + 16.6090i −0.585364 + 0.734023i
\(513\) −0.407208 1.03755i −0.0179787 0.0458089i
\(514\) 0.492283 + 6.56906i 0.0217137 + 0.289749i
\(515\) 0.0777244 + 1.03716i 0.00342494 + 0.0457027i
\(516\) −16.2106 41.3038i −0.713630 1.81830i
\(517\) −4.58483 + 5.74920i −0.201641 + 0.252849i
\(518\) −15.0110 + 1.77002i −0.659545 + 0.0777700i
\(519\) −22.2734 27.9300i −0.977695 1.22599i
\(520\) 0.177262 0.307026i 0.00777343 0.0134640i
\(521\) −8.24853 14.2869i −0.361375 0.625919i 0.626813 0.779170i \(-0.284359\pi\)
−0.988187 + 0.153251i \(0.951026\pi\)
\(522\) 4.98333 12.6973i 0.218115 0.555747i
\(523\) −25.8414 7.97101i −1.12997 0.348548i −0.327266 0.944932i \(-0.606127\pi\)
−0.802699 + 0.596384i \(0.796603\pi\)
\(524\) −12.0587 5.80714i −0.526785 0.253686i
\(525\) 27.9814 12.3808i 1.22121 0.540344i
\(526\) −14.4311 + 6.94964i −0.629225 + 0.303019i
\(527\) 16.3091 2.45820i 0.710435 0.107081i
\(528\) −4.78661 3.26345i −0.208310 0.142024i
\(529\) 16.8221 15.6087i 0.731397 0.678638i
\(530\) −2.69659 + 1.83850i −0.117132 + 0.0798594i
\(531\) −9.70952 + 42.5402i −0.421357 + 1.84609i
\(532\) 2.53856 + 1.85334i 0.110061 + 0.0803523i
\(533\) 0.0822473 + 0.360349i 0.00356253 + 0.0156084i
\(534\) −10.2553 9.51549i −0.443788 0.411776i
\(535\) 1.80959 + 0.272752i 0.0782354 + 0.0117921i
\(536\) −26.5098 + 8.17718i −1.14505 + 0.353201i
\(537\) 1.39188 18.5733i 0.0600639 0.801497i
\(538\) −12.7920 −0.551503
\(539\) 6.09806 + 3.43710i 0.262662 + 0.148046i
\(540\) −1.90958 −0.0821750
\(541\) −0.573393 + 7.65140i −0.0246521 + 0.328959i 0.971219 + 0.238186i \(0.0765529\pi\)
−0.995872 + 0.0907731i \(0.971066\pi\)
\(542\) 16.0211 4.94185i 0.688165 0.212271i
\(543\) 12.3074 + 1.85503i 0.528159 + 0.0796072i
\(544\) −10.9086 10.1217i −0.467703 0.433965i
\(545\) −0.931127 4.07953i −0.0398851 0.174748i
\(546\) −0.694286 + 0.603761i −0.0297127 + 0.0258386i
\(547\) 9.35846 41.0021i 0.400139 1.75312i −0.226692 0.973967i \(-0.572791\pi\)
0.626831 0.779156i \(-0.284352\pi\)
\(548\) 22.1385 15.0938i 0.945709 0.644773i
\(549\) −7.31353 + 6.78597i −0.312134 + 0.289618i
\(550\) −2.05827 1.40330i −0.0877647 0.0598370i
\(551\) −4.72179 + 0.711696i −0.201155 + 0.0303193i
\(552\) 1.08060 0.520388i 0.0459932 0.0221492i
\(553\) 3.45351 + 1.80244i 0.146858 + 0.0766475i
\(554\) −11.0078 5.30107i −0.467676 0.225221i
\(555\) −17.9973 5.55143i −0.763943 0.235645i
\(556\) −9.11625 + 23.2278i −0.386615 + 0.985080i
\(557\) 2.22395 + 3.85200i 0.0942318 + 0.163214i 0.909288 0.416168i \(-0.136627\pi\)
−0.815056 + 0.579382i \(0.803294\pi\)
\(558\) 5.93232 10.2751i 0.251135 0.434979i
\(559\) −1.54979 1.94338i −0.0655493 0.0821962i
\(560\) 3.57094 2.26962i 0.150900 0.0959091i
\(561\) 4.46918 5.60418i 0.188689 0.236609i
\(562\) 3.70431 + 9.43844i 0.156257 + 0.398136i
\(563\) 3.16306 + 42.2081i 0.133307 + 1.77886i 0.517576 + 0.855637i \(0.326835\pi\)
−0.384269 + 0.923221i \(0.625546\pi\)
\(564\) −2.39322 31.9353i −0.100773 1.34472i
\(565\) 1.78471 + 4.54737i 0.0750834 + 0.191309i
\(566\) 9.91803 12.4368i 0.416886 0.522758i
\(567\) −16.9279 5.82521i −0.710904 0.244636i
\(568\) 11.5594 + 14.4950i 0.485020 + 0.608196i
\(569\) 11.7404 20.3350i 0.492184 0.852487i −0.507776 0.861489i \(-0.669532\pi\)
0.999959 + 0.00900212i \(0.00286550\pi\)
\(570\) −0.355149 0.615137i −0.0148756 0.0257652i
\(571\) −7.39818 + 18.8503i −0.309604 + 0.788858i 0.688377 + 0.725353i \(0.258323\pi\)
−0.997981 + 0.0635057i \(0.979772\pi\)
\(572\) −0.394683 0.121744i −0.0165025 0.00509036i
\(573\) 52.8961 + 25.4734i 2.20977 + 1.06417i
\(574\) 0.563744 2.14831i 0.0235302 0.0896689i
\(575\) −0.922882 + 0.444436i −0.0384868 + 0.0185343i
\(576\) 5.52605 0.832917i 0.230252 0.0347049i
\(577\) 27.0822 + 18.4643i 1.12745 + 0.768679i 0.975563 0.219719i \(-0.0705141\pi\)
0.151882 + 0.988399i \(0.451466\pi\)
\(578\) −3.75144 + 3.48082i −0.156039 + 0.144783i
\(579\) 8.61302 5.87226i 0.357945 0.244043i
\(580\) −1.82043 + 7.97584i −0.0755894 + 0.331179i
\(581\) −12.7643 + 29.6740i −0.529554 + 1.23109i
\(582\) 0.979690 + 4.29230i 0.0406095 + 0.177922i
\(583\) 6.08011 + 5.64152i 0.251813 + 0.233648i
\(584\) −22.9281 3.45586i −0.948773 0.143005i
\(585\) −0.598881 + 0.184730i −0.0247607 + 0.00763766i
\(586\) −0.152303 + 2.03235i −0.00629159 + 0.0839555i
\(587\) −19.7271 −0.814225 −0.407113 0.913378i \(-0.633464\pi\)
−0.407113 + 0.913378i \(0.633464\pi\)
\(588\) −29.6492 + 7.09074i −1.22271 + 0.292417i
\(589\) −4.15354 −0.171144
\(590\) −0.354691 + 4.73303i −0.0146024 + 0.194856i
\(591\) −35.6619 + 11.0002i −1.46693 + 0.452489i
\(592\) 22.9594 + 3.46058i 0.943626 + 0.142229i
\(593\) 27.1682 + 25.2084i 1.11567 + 1.03519i 0.999118 + 0.0420018i \(0.0133735\pi\)
0.116548 + 0.993185i \(0.462817\pi\)
\(594\) −0.195849 0.858071i −0.00803579 0.0352071i
\(595\) 2.47018 + 4.61585i 0.101267 + 0.189231i
\(596\) 3.78180 16.5691i 0.154908 0.678698i
\(597\) −15.0538 + 10.2635i −0.616111 + 0.420057i
\(598\) 0.0225791 0.0209503i 0.000923327 0.000856722i
\(599\) −22.8905 15.6065i −0.935280 0.637663i −0.00323090 0.999995i \(-0.501028\pi\)
−0.932049 + 0.362332i \(0.881981\pi\)
\(600\) 23.4012 3.52716i 0.955350 0.143996i
\(601\) −32.5894 + 15.6942i −1.32935 + 0.640182i −0.957587 0.288146i \(-0.906961\pi\)
−0.371764 + 0.928327i \(0.621247\pi\)
\(602\) 2.85277 + 14.6617i 0.116270 + 0.597564i
\(603\) 44.1860 + 21.2789i 1.79939 + 0.866542i
\(604\) −1.06734 0.329230i −0.0434294 0.0133962i
\(605\) 0.259438 0.661038i 0.0105477 0.0268750i
\(606\) 0.164272 + 0.284528i 0.00667311 + 0.0115582i
\(607\) 21.1715 36.6701i 0.859324 1.48839i −0.0132504 0.999912i \(-0.504218\pi\)
0.872575 0.488481i \(-0.162449\pi\)
\(608\) 2.33655 + 2.92994i 0.0947595 + 0.118825i
\(609\) 24.4376 39.3425i 0.990260 1.59424i
\(610\) −0.676628 + 0.848465i −0.0273959 + 0.0343533i
\(611\) −0.655436 1.67002i −0.0265161 0.0675620i
\(612\) 1.27526 + 17.0172i 0.0515494 + 0.687879i
\(613\) −2.01143 26.8406i −0.0812408 1.08408i −0.877643 0.479315i \(-0.840885\pi\)
0.796402 0.604768i \(-0.206734\pi\)
\(614\) −5.51442 14.0505i −0.222544 0.567032i
\(615\) 1.72553 2.16375i 0.0695802 0.0872508i
\(616\) 3.84804 + 3.80844i 0.155042 + 0.153446i
\(617\) 11.8388 + 14.8454i 0.476613 + 0.597654i 0.960777 0.277324i \(-0.0894474\pi\)
−0.484163 + 0.874978i \(0.660876\pi\)
\(618\) 1.04385 1.80800i 0.0419898 0.0727285i
\(619\) 24.0462 + 41.6492i 0.966498 + 1.67402i 0.705537 + 0.708673i \(0.250706\pi\)
0.260961 + 0.965349i \(0.415961\pi\)
\(620\) −2.59977 + 6.62411i −0.104409 + 0.266031i
\(621\) −0.345824 0.106673i −0.0138774 0.00428062i
\(622\) −11.6023 5.58736i −0.465209 0.224033i
\(623\) −15.5275 20.8128i −0.622096 0.833848i
\(624\) 1.27341 0.613244i 0.0509774 0.0245494i
\(625\) −17.4925 + 2.63657i −0.699701 + 0.105463i
\(626\) −4.88210 3.32856i −0.195128 0.133036i
\(627\) −1.32326 + 1.22780i −0.0528458 + 0.0490337i
\(628\) 0.0217370 0.0148200i 0.000867400 0.000591383i
\(629\) −6.39273 + 28.0084i −0.254895 + 1.11677i
\(630\) 3.70395 + 0.680999i 0.147569 + 0.0271316i
\(631\) 1.58870 + 6.96053i 0.0632450 + 0.277095i 0.996656 0.0817153i \(-0.0260398\pi\)
−0.933411 + 0.358810i \(0.883183\pi\)
\(632\) 2.20866 + 2.04933i 0.0878557 + 0.0815181i
\(633\) 61.4739 + 9.26571i 2.44337 + 0.368279i
\(634\) −10.7909 + 3.32854i −0.428560 + 0.132193i
\(635\) −0.179057 + 2.38935i −0.00710567 + 0.0948186i
\(636\) −36.1218 −1.43232
\(637\) −1.47008 + 0.869153i −0.0582468 + 0.0344371i
\(638\) −3.77066 −0.149282
\(639\) 2.44925 32.6829i 0.0968907 1.29292i
\(640\) 7.82875 2.41485i 0.309459 0.0954554i
\(641\) −13.3546 2.01288i −0.527473 0.0795038i −0.120093 0.992763i \(-0.538319\pi\)
−0.407380 + 0.913259i \(0.633558\pi\)
\(642\) −2.69277 2.49853i −0.106275 0.0986090i
\(643\) −6.73133 29.4919i −0.265458 1.16305i −0.915235 0.402921i \(-0.867995\pi\)
0.649777 0.760125i \(-0.274862\pi\)
\(644\) 0.984393 0.269233i 0.0387905 0.0106093i
\(645\) −4.14151 + 18.1451i −0.163072 + 0.714464i
\(646\) −0.895197 + 0.610335i −0.0352211 + 0.0240133i
\(647\) 10.2037 9.46763i 0.401148 0.372211i −0.453643 0.891184i \(-0.649876\pi\)
0.854791 + 0.518973i \(0.173685\pi\)
\(648\) −11.4402 7.79977i −0.449412 0.306404i
\(649\) 11.9274 1.79776i 0.468191 0.0705684i
\(650\) 0.547575 0.263698i 0.0214777 0.0103431i
\(651\) 26.1194 30.6708i 1.02370 1.20208i
\(652\) −6.09517 2.93528i −0.238705 0.114954i
\(653\) 14.3954 + 4.44038i 0.563334 + 0.173765i 0.563326 0.826235i \(-0.309521\pi\)
7.52954e−6 1.00000i \(0.499998\pi\)
\(654\) −3.06862 + 7.81872i −0.119993 + 0.305736i
\(655\) 2.80703 + 4.86192i 0.109680 + 0.189971i
\(656\) −1.70592 + 2.95474i −0.0666051 + 0.115363i
\(657\) 25.5569 + 32.0474i 0.997071 + 1.25029i
\(658\) −1.15160 + 10.7188i −0.0448942 + 0.417863i
\(659\) 3.73252 4.68043i 0.145398 0.182324i −0.703799 0.710399i \(-0.748515\pi\)
0.849198 + 0.528075i \(0.177086\pi\)
\(660\) 1.12986 + 2.87885i 0.0439799 + 0.112059i
\(661\) 2.63026 + 35.0984i 0.102305 + 1.36517i 0.778128 + 0.628106i \(0.216170\pi\)
−0.675823 + 0.737064i \(0.736211\pi\)
\(662\) 0.102730 + 1.37084i 0.00399272 + 0.0532791i
\(663\) 0.638903 + 1.62790i 0.0248130 + 0.0632224i
\(664\) −15.5773 + 19.5334i −0.604518 + 0.758041i
\(665\) −0.441872 1.24215i −0.0171351 0.0481685i
\(666\) 12.8852 + 16.1576i 0.499292 + 0.626093i
\(667\) −0.775226 + 1.34273i −0.0300169 + 0.0519907i
\(668\) −4.37312 7.57447i −0.169201 0.293065i
\(669\) 10.9968 28.0194i 0.425161 1.08329i
\(670\) 5.09761 + 1.57240i 0.196938 + 0.0607473i
\(671\) 2.48484 + 1.19664i 0.0959262 + 0.0461956i
\(672\) −36.3288 1.17117i −1.40141 0.0451791i
\(673\) −12.0766 + 5.81576i −0.465517 + 0.224181i −0.651913 0.758293i \(-0.726033\pi\)
0.186396 + 0.982475i \(0.440319\pi\)
\(674\) 7.20373 1.08579i 0.277477 0.0418230i
\(675\) −5.90010 4.02262i −0.227095 0.154831i
\(676\) −16.0595 + 14.9010i −0.617673 + 0.573117i
\(677\) 32.6978 22.2930i 1.25668 0.856790i 0.262543 0.964920i \(-0.415439\pi\)
0.994137 + 0.108131i \(0.0344865\pi\)
\(678\) 2.18196 9.55981i 0.0837978 0.367142i
\(679\) 0.347797 + 8.16453i 0.0133472 + 0.313326i
\(680\) 0.901012 + 3.94759i 0.0345522 + 0.151383i
\(681\) 1.21334 + 1.12581i 0.0464952 + 0.0431413i
\(682\) −3.24319 0.488833i −0.124188 0.0187184i
\(683\) −34.8074 + 10.7367i −1.33187 + 0.410827i −0.877325 0.479897i \(-0.840674\pi\)
−0.454544 + 0.890724i \(0.650198\pi\)
\(684\) 0.321152 4.28547i 0.0122795 0.163859i
\(685\) −11.2391 −0.429423
\(686\) 10.2479 0.542810i 0.391267 0.0207246i
\(687\) −6.70664 −0.255874
\(688\) 1.71466 22.8806i 0.0653709 0.872314i
\(689\) −1.93365 + 0.596453i −0.0736664 + 0.0227231i
\(690\) −0.228053 0.0343735i −0.00868184 0.00130858i
\(691\) −28.9619 26.8727i −1.10176 1.02229i −0.999621 0.0275167i \(-0.991240\pi\)
−0.102142 0.994770i \(-0.532569\pi\)
\(692\) −5.23155 22.9209i −0.198874 0.871322i
\(693\) −0.407337 9.56223i −0.0154734 0.363239i
\(694\) 2.11388 9.26150i 0.0802416 0.351562i
\(695\) 8.64792 5.89605i 0.328034 0.223650i
\(696\) 26.2587 24.3645i 0.995333 0.923534i
\(697\) −3.48796 2.37805i −0.132116 0.0900751i
\(698\) 5.95902 0.898178i 0.225552 0.0339965i
\(699\) 49.0901 23.6405i 1.85676 0.894167i
\(700\) 20.1266 + 0.648845i 0.760713 + 0.0245240i
\(701\) −37.4636 18.0415i −1.41498 0.681418i −0.438840 0.898565i \(-0.644611\pi\)
−0.976139 + 0.217147i \(0.930325\pi\)
\(702\) 0.205188 + 0.0632922i 0.00774433 + 0.00238881i
\(703\) 2.64317 6.73468i 0.0996889 0.254003i
\(704\) −0.772429 1.33789i −0.0291120 0.0504235i
\(705\) −6.71653 + 11.6334i −0.252959 + 0.438138i
\(706\) 7.36540 + 9.23592i 0.277200 + 0.347598i
\(707\) 0.204386 + 0.574550i 0.00768671 + 0.0216082i
\(708\) −32.7526 + 41.0704i −1.23092 + 1.54352i
\(709\) −5.64643 14.3869i −0.212056 0.540310i 0.784782 0.619772i \(-0.212775\pi\)
−0.996838 + 0.0794622i \(0.974680\pi\)
\(710\) −0.266416 3.55508i −0.00999842 0.133420i
\(711\) −0.398035 5.31141i −0.0149275 0.199194i
\(712\) −7.33735 18.6953i −0.274979 0.700635i
\(713\) −0.840854 + 1.05440i −0.0314902 + 0.0394875i
\(714\) 1.12255 10.4485i 0.0420106 0.391024i
\(715\) 0.108020 + 0.135452i 0.00403971 + 0.00506563i
\(716\) 6.12881 10.6154i 0.229045 0.396717i
\(717\) −4.56913 7.91396i −0.170637 0.295552i
\(718\) 4.97604 12.6787i 0.185704 0.473166i
\(719\) −29.0030 8.94624i −1.08163 0.333639i −0.297809 0.954626i \(-0.596256\pi\)
−0.783821 + 0.620987i \(0.786732\pi\)
\(720\) −5.21225 2.51009i −0.194249 0.0935455i
\(721\) 2.51241 2.95020i 0.0935669 0.109871i
\(722\) −9.23966 + 4.44959i −0.343865 + 0.165596i
\(723\) 30.7194 4.63020i 1.14247 0.172199i
\(724\) 6.76783 + 4.61423i 0.251525 + 0.171487i
\(725\) −22.4262 + 20.8085i −0.832888 + 0.772807i
\(726\) −1.17774 + 0.802966i −0.0437098 + 0.0298009i
\(727\) 0.962620 4.21752i 0.0357016 0.156419i −0.953935 0.300013i \(-0.903009\pi\)
0.989637 + 0.143594i \(0.0458660\pi\)
\(728\) −1.27407 + 0.348460i −0.0472202 + 0.0129148i
\(729\) 8.17433 + 35.8141i 0.302753 + 1.32645i
\(730\) 3.26845 + 3.03268i 0.120971 + 0.112245i
\(731\) 28.0725 + 4.23126i 1.03830 + 0.156499i
\(732\) −11.4774 + 3.54032i −0.424219 + 0.130854i
\(733\) 0.631673 8.42909i 0.0233314 0.311336i −0.973313 0.229482i \(-0.926297\pi\)
0.996644 0.0818539i \(-0.0260841\pi\)
\(734\) 7.15684 0.264164
\(735\) 11.9511 + 4.54833i 0.440822 + 0.167768i
\(736\) 1.21680 0.0448518
\(737\) 1.01313 13.5193i 0.0373192 0.497991i
\(738\) −2.90186 + 0.895106i −0.106819 + 0.0329493i
\(739\) −38.7215 5.83633i −1.42439 0.214693i −0.608803 0.793322i \(-0.708350\pi\)
−0.815591 + 0.578629i \(0.803588\pi\)
\(740\) −9.08614 8.43071i −0.334013 0.309919i
\(741\) −0.0979982 0.429358i −0.00360005 0.0157729i
\(742\) 11.9592 + 2.19879i 0.439037 + 0.0807202i
\(743\) −2.92950 + 12.8350i −0.107473 + 0.470870i 0.892337 + 0.451370i \(0.149065\pi\)
−0.999810 + 0.0195002i \(0.993793\pi\)
\(744\) 25.7440 17.5520i 0.943823 0.643487i
\(745\) −5.22577 + 4.84880i −0.191457 + 0.177646i
\(746\) 5.55081 + 3.78448i 0.203230 + 0.138560i
\(747\) 43.6735 6.58272i 1.59793 0.240849i
\(748\) 4.25021 2.04679i 0.155403 0.0748381i
\(749\) −4.07713 5.46492i −0.148975 0.199684i
\(750\) −8.65994 4.17041i −0.316216 0.152282i
\(751\) −46.7255 14.4129i −1.70504 0.525935i −0.719370 0.694627i \(-0.755569\pi\)
−0.985669 + 0.168692i \(0.946046\pi\)
\(752\) 6.05019 15.4156i 0.220628 0.562150i
\(753\) −21.7067 37.5972i −0.791038 1.37012i
\(754\) 0.459966 0.796684i 0.0167510 0.0290135i
\(755\) 0.292116 + 0.366302i 0.0106312 + 0.0133311i
\(756\) 5.05674 + 5.00469i 0.183912 + 0.182019i
\(757\) 17.4636 21.8986i 0.634724 0.795918i −0.355608 0.934635i \(-0.615726\pi\)
0.990332 + 0.138717i \(0.0442977\pi\)
\(758\) 6.92043 + 17.6330i 0.251361 + 0.640458i
\(759\) 0.0438004 + 0.584476i 0.00158985 + 0.0212151i
\(760\) −0.0762019 1.01684i −0.00276413 0.0368848i
\(761\) 8.27026 + 21.0723i 0.299797 + 0.763870i 0.998810 + 0.0487616i \(0.0155274\pi\)
−0.699014 + 0.715108i \(0.746377\pi\)
\(762\) 2.99870 3.76025i 0.108631 0.136219i
\(763\) −8.22609 + 13.2433i −0.297804 + 0.479441i
\(764\) 24.0904 + 30.2084i 0.871561 + 1.09290i
\(765\) 3.57900 6.19902i 0.129399 0.224126i
\(766\) 0.966264 + 1.67362i 0.0349125 + 0.0604703i
\(767\) −1.07513 + 2.73938i −0.0388206 + 0.0989132i
\(768\) −8.11945 2.50452i −0.292985 0.0903740i
\(769\) −3.25720 1.56858i −0.117458 0.0565646i 0.374232 0.927335i \(-0.377906\pi\)
−0.491690 + 0.870770i \(0.663621\pi\)
\(770\) −0.198836 1.02191i −0.00716556 0.0368270i
\(771\) 27.5536 13.2691i 0.992319 0.477876i
\(772\) 6.78381 1.02249i 0.244155 0.0368004i
\(773\) 12.6584 + 8.63038i 0.455292 + 0.310413i 0.769163 0.639053i \(-0.220673\pi\)
−0.313871 + 0.949466i \(0.601626\pi\)
\(774\) 14.9707 13.8908i 0.538110 0.499293i
\(775\) −21.9867 + 14.9903i −0.789784 + 0.538466i
\(776\) −1.40643 + 6.16197i −0.0504879 + 0.221202i
\(777\) 33.1091 + 61.8687i 1.18778 + 2.21953i
\(778\) −0.897396 3.93175i −0.0321732 0.140960i
\(779\) 0.779312 + 0.723096i 0.0279217 + 0.0259076i
\(780\) −0.746085 0.112454i −0.0267141 0.00402650i
\(781\) −8.65759 + 2.67051i −0.309793 + 0.0955585i
\(782\) −0.0262895 + 0.350809i −0.000940110 + 0.0125449i
\(783\) −10.8088 −0.386273
\(784\) −15.4045 3.34870i −0.550161 0.119596i
\(785\) −0.0110352 −0.000393865
\(786\) 0.842131 11.2375i 0.0300378 0.400827i
\(787\) −24.4788 + 7.55072i −0.872576 + 0.269154i −0.698528 0.715583i \(-0.746161\pi\)
−0.174049 + 0.984737i \(0.555685\pi\)
\(788\) −24.2864 3.66059i −0.865168 0.130403i
\(789\) 54.5096 + 50.5775i 1.94059 + 1.80061i
\(790\) −0.128921 0.564842i −0.00458682 0.0200962i
\(791\) 7.19185 16.7193i 0.255713 0.594471i
\(792\) 1.64720 7.21684i 0.0585306 0.256439i
\(793\) −0.555946 + 0.379037i −0.0197422 + 0.0134600i
\(794\) −6.39107 + 5.93005i −0.226811 + 0.210450i
\(795\) 12.5188 + 8.53519i 0.443997 + 0.302712i
\(796\) −11.8567 + 1.78711i −0.420250 + 0.0633424i
\(797\) 15.7215 7.57107i 0.556884 0.268181i −0.134202 0.990954i \(-0.542847\pi\)
0.691086 + 0.722773i \(0.257133\pi\)
\(798\) −0.671705 + 2.55973i −0.0237781 + 0.0906135i
\(799\) 18.4611 + 8.89039i 0.653106 + 0.314519i
\(800\) 22.9427 + 7.07689i 0.811148 + 0.250206i
\(801\) −12.9710 + 33.0495i −0.458306 + 1.16775i
\(802\) −0.346493 0.600143i −0.0122351 0.0211918i
\(803\) 5.66560 9.81310i 0.199935 0.346297i
\(804\) 36.8123 + 46.1612i 1.29827 + 1.62798i
\(805\) −0.404780 0.139293i −0.0142666 0.00490942i
\(806\) 0.498905 0.625608i 0.0175732 0.0220361i
\(807\) 21.6963 + 55.2814i 0.763747 + 1.94600i
\(808\) 0.0352468 + 0.470336i 0.00123998 + 0.0165464i
\(809\) −1.73914 23.2073i −0.0611450 0.815924i −0.940508 0.339772i \(-0.889650\pi\)
0.879363 0.476152i \(-0.157969\pi\)
\(810\) 0.972715 + 2.47844i 0.0341777 + 0.0870834i
\(811\) −31.8069 + 39.8846i −1.11689 + 1.40054i −0.210762 + 0.977537i \(0.567594\pi\)
−0.906130 + 0.423000i \(0.860977\pi\)
\(812\) 25.7241 16.3497i 0.902738 0.573763i
\(813\) −48.5296 60.8542i −1.70201 2.13425i
\(814\) 2.85646 4.94754i 0.100119 0.173411i
\(815\) 1.41884 + 2.45751i 0.0496999 + 0.0860827i
\(816\) −5.89758 + 15.0268i −0.206457 + 0.526043i
\(817\) −6.83179 2.10733i −0.239014 0.0737260i
\(818\) −14.9012 7.17602i −0.521007 0.250904i
\(819\) 2.07004 + 1.08039i 0.0723332 + 0.0377518i
\(820\) 1.64099 0.790258i 0.0573057 0.0275970i
\(821\) 25.5968 3.85810i 0.893335 0.134649i 0.313697 0.949523i \(-0.398432\pi\)
0.579637 + 0.814874i \(0.303194\pi\)
\(822\) 18.6399 + 12.7084i 0.650140 + 0.443258i
\(823\) −5.09132 + 4.72406i −0.177472 + 0.164670i −0.763907 0.645326i \(-0.776721\pi\)
0.586435 + 0.809996i \(0.300531\pi\)
\(824\) 2.47630 1.68831i 0.0862659 0.0588151i
\(825\) −2.57345 + 11.2750i −0.0895961 + 0.392546i
\(826\) 13.3438 11.6039i 0.464289 0.403752i
\(827\) −3.65474 16.0125i −0.127088 0.556808i −0.997876 0.0651490i \(-0.979248\pi\)
0.870788 0.491659i \(-0.163609\pi\)
\(828\) −1.02287 0.949089i −0.0355474 0.0329831i
\(829\) −0.134545 0.0202794i −0.00467294 0.000704333i 0.146705 0.989180i \(-0.453133\pi\)
−0.151378 + 0.988476i \(0.548371\pi\)
\(830\) 4.59080 1.41607i 0.159349 0.0491526i
\(831\) −4.23872 + 56.5618i −0.147040 + 1.96211i
\(832\) 0.376901 0.0130667
\(833\) 5.55613 18.6972i 0.192509 0.647818i
\(834\) −21.0094 −0.727495
\(835\) −0.274161 + 3.65842i −0.00948773 + 0.126605i
\(836\) −1.13521 + 0.350165i −0.0392619 + 0.0121107i
\(837\) −9.29674 1.40126i −0.321342 0.0484346i
\(838\) 3.79975 + 3.52565i 0.131260 + 0.121792i
\(839\) −8.24194 36.1103i −0.284543 1.24667i −0.891899 0.452236i \(-0.850627\pi\)
0.607355 0.794430i \(-0.292231\pi\)
\(840\) 7.98783 + 5.83171i 0.275606 + 0.201213i
\(841\) −3.85108 + 16.8727i −0.132796 + 0.581816i
\(842\) −9.90650 + 6.75414i −0.341400 + 0.232763i
\(843\) 34.5059 32.0168i 1.18845 1.10272i
\(844\) 33.8046 + 23.0476i 1.16360 + 0.793331i
\(845\) 9.08673 1.36960i 0.312593 0.0471158i
\(846\) 13.2802 6.39540i 0.456582 0.219878i
\(847\) −2.41949 + 1.07054i −0.0831347 + 0.0367844i
\(848\) −16.8292 8.10451i −0.577917 0.278310i
\(849\) −70.5682 21.7674i −2.42189 0.747055i
\(850\) −2.53599 + 6.46159i −0.0869837 + 0.221631i
\(851\) −1.17454 2.03437i −0.0402629 0.0697373i
\(852\) 19.7286 34.1709i 0.675890 1.17068i
\(853\) 14.8497 + 18.6210i 0.508445 + 0.637570i 0.968111 0.250522i \(-0.0806021\pi\)
−0.459666 + 0.888092i \(0.652031\pi\)
\(854\) 4.01547 0.473482i 0.137406 0.0162022i
\(855\) −1.12391 + 1.40934i −0.0384370 + 0.0481984i
\(856\) −1.92660 4.90891i −0.0658500 0.167783i
\(857\) −1.49022 19.8857i −0.0509051 0.679281i −0.963034 0.269378i \(-0.913182\pi\)
0.912129 0.409903i \(-0.134437\pi\)
\(858\) −0.0259882 0.346788i −0.000887221 0.0118391i
\(859\) 5.49926 + 14.0119i 0.187632 + 0.478080i 0.993475 0.114050i \(-0.0363825\pi\)
−0.805843 + 0.592130i \(0.798287\pi\)
\(860\) −7.63693 + 9.57640i −0.260417 + 0.326553i
\(861\) −10.2402 + 1.20747i −0.348986 + 0.0411505i
\(862\) 4.91377 + 6.16167i 0.167364 + 0.209867i
\(863\) 5.40272 9.35779i 0.183911 0.318543i −0.759298 0.650743i \(-0.774458\pi\)
0.943209 + 0.332200i \(0.107791\pi\)
\(864\) 4.24137 + 7.34627i 0.144294 + 0.249925i
\(865\) −3.60285 + 9.17991i −0.122501 + 0.312126i
\(866\) 7.70503 + 2.37669i 0.261828 + 0.0807631i
\(867\) 21.4053 + 10.3083i 0.726963 + 0.350087i
\(868\) 24.2452 10.7277i 0.822935 0.364122i
\(869\) −1.32658 + 0.638845i −0.0450010 + 0.0216713i
\(870\) −6.81115 + 1.02662i −0.230920 + 0.0348056i
\(871\) 2.73284 + 1.86322i 0.0925989 + 0.0631328i
\(872\) −8.83911 + 8.20149i −0.299330 + 0.277738i
\(873\) 9.23177 6.29411i 0.312448 0.213024i
\(874\) 0.0197137 0.0863713i 0.000666825 0.00292155i
\(875\) −14.4092 10.5198i −0.487120 0.355634i
\(876\) 10.9809 + 48.1106i 0.371011 + 1.62551i
\(877\) −21.9278 20.3461i −0.740450 0.687038i 0.216827 0.976210i \(-0.430429\pi\)
−0.957277 + 0.289173i \(0.906620\pi\)
\(878\) 15.1528 + 2.28391i 0.511381 + 0.0770784i
\(879\) 9.04122 2.78885i 0.304953 0.0940655i
\(880\) −0.119511 + 1.59476i −0.00402871 + 0.0537594i
\(881\) 11.5319 0.388521 0.194261 0.980950i \(-0.437769\pi\)
0.194261 + 0.980950i \(0.437769\pi\)
\(882\) −8.02363 11.5108i −0.270170 0.387589i
\(883\) 6.34534 0.213538 0.106769 0.994284i \(-0.465950\pi\)
0.106769 + 0.994284i \(0.465950\pi\)
\(884\) −0.0860070 + 1.14768i −0.00289273 + 0.0386008i
\(885\) 21.0556 6.49480i 0.707777 0.218320i
\(886\) 1.49371 + 0.225140i 0.0501821 + 0.00756373i
\(887\) 23.1834 + 21.5110i 0.778422 + 0.722270i 0.965593 0.260058i \(-0.0837416\pi\)
−0.187172 + 0.982327i \(0.559932\pi\)
\(888\) 12.0768 + 52.9117i 0.405269 + 1.77560i
\(889\) 6.73627 5.85796i 0.225927 0.196470i
\(890\) −0.859355 + 3.76508i −0.0288056 + 0.126206i
\(891\) 5.59063 3.81163i 0.187293 0.127694i
\(892\) 14.5212 13.4737i 0.486207 0.451134i
\(893\) −4.26347 2.90679i −0.142672 0.0972719i
\(894\) 14.1496 2.13271i 0.473233 0.0713284i
\(895\) −4.63238 + 2.23084i −0.154843 + 0.0745687i
\(896\) −27.0602 14.1232i −0.904019 0.471821i
\(897\) −0.128834 0.0620432i −0.00430164 0.00207156i
\(898\) −11.6557 3.59532i −0.388957 0.119977i
\(899\) −14.7155 + 37.4944i −0.490789 + 1.25051i
\(900\) −13.7664 23.8441i −0.458880 0.794803i
\(901\) 11.5558 20.0152i 0.384980 0.666804i
\(902\) 0.523406 + 0.656330i 0.0174275 + 0.0218534i
\(903\) 58.5226 37.1958i 1.94751 1.23780i
\(904\) 8.77678 11.0057i 0.291911 0.366045i
\(905\) −1.25525 3.19833i −0.0417260 0.106316i
\(906\) −0.0702795 0.937814i −0.00233488 0.0311568i
\(907\) 1.94516 + 25.9564i 0.0645880 + 0.861867i 0.931578 + 0.363541i \(0.118433\pi\)
−0.866990 + 0.498326i \(0.833948\pi\)
\(908\) 0.397967 + 1.01400i 0.0132070 + 0.0336509i
\(909\) 0.519859 0.651883i 0.0172426 0.0216216i
\(910\) 0.240169 + 0.0826467i 0.00796152 + 0.00273971i
\(911\) 9.91441 + 12.4323i 0.328479 + 0.411900i 0.918458 0.395519i \(-0.129435\pi\)
−0.589979 + 0.807419i \(0.700864\pi\)
\(912\) 2.03262 3.52060i 0.0673067 0.116579i
\(913\) −6.10467 10.5736i −0.202035 0.349935i
\(914\) 1.56935 3.99865i 0.0519096 0.132264i
\(915\) 4.81431 + 1.48502i 0.159156 + 0.0490931i
\(916\) −3.97664 1.91505i −0.131392 0.0632750i
\(917\) 5.30903 20.2316i 0.175320 0.668107i
\(918\) −2.20960 + 1.06409i −0.0729277 + 0.0351201i
\(919\) −12.1172 + 1.82637i −0.399710 + 0.0602465i −0.345821 0.938300i \(-0.612400\pi\)
−0.0538885 + 0.998547i \(0.517162\pi\)
\(920\) −0.273558 0.186508i −0.00901893 0.00614900i
\(921\) −51.3671 + 47.6617i −1.69260 + 1.57051i
\(922\) −14.2843 + 9.73889i −0.470429 + 0.320733i
\(923\) 0.491861 2.15498i 0.0161898 0.0709321i
\(924\) 4.55301 10.5847i 0.149783 0.348210i
\(925\) −10.3141 45.1892i −0.339127 1.48581i
\(926\) 9.67569 + 8.97773i 0.317963 + 0.295027i
\(927\) −5.23904 0.789659i −0.172073 0.0259358i
\(928\) 34.7270 10.7119i 1.13997 0.351634i
\(929\) −2.57858 + 34.4088i −0.0846006 + 1.12892i 0.779772 + 0.626064i \(0.215335\pi\)
−0.864372 + 0.502852i \(0.832284\pi\)
\(930\) −5.99145 −0.196467
\(931\) −2.08535 + 4.44741i −0.0683447 + 0.145758i
\(932\) 35.8579 1.17457
\(933\) −4.46764 + 59.6165i −0.146264 + 1.95176i
\(934\) −15.8101 + 4.87678i −0.517323 + 0.159573i
\(935\) −1.95664 0.294916i −0.0639889 0.00964477i
\(936\) 1.32388 + 1.22838i 0.0432723 + 0.0401508i
\(937\) 2.58353 + 11.3192i 0.0844002 + 0.369781i 0.999436 0.0335920i \(-0.0106947\pi\)
−0.915035 + 0.403373i \(0.867838\pi\)
\(938\) −9.37794 17.5239i −0.306201 0.572175i
\(939\) −6.10410 + 26.7438i −0.199200 + 0.872751i
\(940\) −7.30436 + 4.98003i −0.238242 + 0.162431i
\(941\) 4.50955 4.18426i 0.147007 0.136403i −0.603241 0.797559i \(-0.706124\pi\)
0.750248 + 0.661156i \(0.229934\pi\)
\(942\) 0.0183018 + 0.0124780i 0.000596305 + 0.000406554i
\(943\) 0.341328 0.0514469i 0.0111152 0.00167534i
\(944\) −24.4743 + 11.7862i −0.796569 + 0.383608i
\(945\) −0.569972 2.92934i −0.0185412 0.0952914i
\(946\) −5.08643 2.44949i −0.165374 0.0796399i
\(947\) −55.3498 17.0731i −1.79863 0.554803i −0.799669 0.600442i \(-0.794991\pi\)
−0.998958 + 0.0456389i \(0.985468\pi\)
\(948\) 2.34268 5.96906i 0.0760868 0.193866i
\(949\) 1.38224 + 2.39411i 0.0448694 + 0.0777161i
\(950\) 0.874036 1.51388i 0.0283575 0.0491166i
\(951\) 32.6867 + 40.9878i 1.05994 + 1.32912i
\(952\) 7.96004 12.8150i 0.257986 0.415337i
\(953\) 21.3940 26.8273i 0.693021 0.869021i −0.303460 0.952844i \(-0.598142\pi\)
0.996481 + 0.0838234i \(0.0267132\pi\)
\(954\) −6.07401 15.4763i −0.196653 0.501065i
\(955\) −1.21115 16.1617i −0.0391920 0.522981i
\(956\) −0.449428 5.99720i −0.0145355 0.193963i
\(957\) 6.39537 + 16.2951i 0.206733 + 0.526747i
\(958\) −2.78345 + 3.49034i −0.0899293 + 0.112768i
\(959\) 29.7621 + 29.4558i 0.961069 + 0.951177i
\(960\) −1.75954 2.20639i −0.0567889 0.0712110i
\(961\) −2.01778 + 3.49489i −0.0650895 + 0.112738i
\(962\) 0.696894 + 1.20706i 0.0224688 + 0.0389171i
\(963\) −3.40585 + 8.67795i −0.109752 + 0.279643i
\(964\) 19.5369 + 6.02634i 0.629241 + 0.194095i
\(965\) −2.59268 1.24857i −0.0834614 0.0401929i
\(966\) 0.513819 + 0.688715i 0.0165319 + 0.0221591i
\(967\) −17.8041 + 8.57401i −0.572542 + 0.275722i −0.697670 0.716419i \(-0.745780\pi\)
0.125128 + 0.992141i \(0.460066\pi\)
\(968\) −2.02345 + 0.304986i −0.0650362 + 0.00980264i
\(969\) 4.15593 + 2.83346i 0.133508 + 0.0910240i
\(970\) 0.890927 0.826659i 0.0286059 0.0265424i
\(971\) 4.89555 3.33773i 0.157106 0.107113i −0.482216 0.876053i \(-0.660168\pi\)
0.639321 + 0.768940i \(0.279215\pi\)
\(972\) −8.35233 + 36.5939i −0.267901 + 1.17375i
\(973\) −38.3531 7.05151i −1.22955 0.226061i
\(974\) −2.11709 9.27557i −0.0678359 0.297208i
\(975\) −2.06832 1.91912i −0.0662393 0.0614610i
\(976\) −6.14168 0.925710i −0.196590 0.0296312i
\(977\) 42.7036 13.1723i 1.36621 0.421420i 0.476993 0.878907i \(-0.341727\pi\)
0.889216 + 0.457487i \(0.151250\pi\)
\(978\) 0.425664 5.68009i 0.0136112 0.181629i
\(979\) 9.81454 0.313674
\(980\) 5.78752 + 6.10946i 0.184875 + 0.195159i
\(981\) 21.3160 0.680568
\(982\) 0.511991 6.83204i 0.0163383 0.218019i
\(983\) −3.03857 + 0.937276i −0.0969154 + 0.0298945i −0.342834 0.939396i \(-0.611387\pi\)
0.245918 + 0.969291i \(0.420911\pi\)
\(984\) −7.88591 1.18861i −0.251394 0.0378915i
\(985\) 7.55204 + 7.00727i 0.240628 + 0.223270i
\(986\) 2.33798 + 10.2434i 0.0744566 + 0.326216i
\(987\) 48.2752 13.2033i 1.53662 0.420267i
\(988\) 0.0644941 0.282567i 0.00205183 0.00898965i
\(989\) −1.91800 + 1.30767i −0.0609889 + 0.0415816i
\(990\) −1.04345 + 0.968177i −0.0331629 + 0.0307707i
\(991\) −43.9221 29.9456i −1.39523 0.951252i −0.999459 0.0329031i \(-0.989525\pi\)
−0.395772 0.918349i \(-0.629523\pi\)
\(992\) 31.2578 4.71135i 0.992436 0.149586i
\(993\) 5.74991 2.76901i 0.182468 0.0878720i
\(994\) −8.61179 + 10.1124i −0.273149 + 0.320746i
\(995\) 4.53148 + 2.18224i 0.143657 + 0.0691818i
\(996\) 50.8100 + 15.6728i 1.60998 + 0.496612i
\(997\) 15.4102 39.2645i 0.488046 1.24352i −0.448754 0.893655i \(-0.648132\pi\)
0.936800 0.349865i \(-0.113773\pi\)
\(998\) 7.22470 + 12.5135i 0.228694 + 0.396109i
\(999\) 8.18817 14.1823i 0.259062 0.448709i
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 539.2.r.a.23.9 276
49.32 even 21 inner 539.2.r.a.375.9 yes 276
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
539.2.r.a.23.9 276 1.1 even 1 trivial
539.2.r.a.375.9 yes 276 49.32 even 21 inner