Properties

Label 930.2.bo.a.179.4
Level $930$
Weight $2$
Character 930.179
Analytic conductor $7.426$
Analytic rank $0$
Dimension $256$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(179,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 15, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.179");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bo (of order \(30\), 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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(32\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 179.4
Character \(\chi\) \(=\) 930.179
Dual form 930.2.bo.a.239.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.309017 + 0.951057i) q^{2} +(-1.64568 + 0.540140i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(2.22856 - 0.183115i) q^{5} +(-1.02225 - 1.39822i) q^{6} +(0.318388 - 0.715111i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(2.41650 - 1.77779i) q^{9} +O(q^{10})\) \(q+(0.309017 + 0.951057i) q^{2} +(-1.64568 + 0.540140i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(2.22856 - 0.183115i) q^{5} +(-1.02225 - 1.39822i) q^{6} +(0.318388 - 0.715111i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(2.41650 - 1.77779i) q^{9} +(0.862815 + 2.06290i) q^{10} +(0.402387 + 3.82845i) q^{11} +(1.01389 - 1.40429i) q^{12} +(-1.66928 - 1.85392i) q^{13} +(0.778498 + 0.0818234i) q^{14} +(-3.56858 + 1.50508i) q^{15} +(0.309017 - 0.951057i) q^{16} +(3.59563 + 0.377916i) q^{17} +(2.43752 + 1.74886i) q^{18} +(1.23396 - 1.37046i) q^{19} +(-1.69531 + 1.45806i) q^{20} +(-0.137703 + 1.34881i) q^{21} +(-3.51673 + 1.56575i) q^{22} +(4.03328 - 5.55134i) q^{23} +(1.64887 + 0.530322i) q^{24} +(4.93294 - 0.816165i) q^{25} +(1.24735 - 2.16047i) q^{26} +(-3.01652 + 4.23091i) q^{27} +(0.162750 + 0.765680i) q^{28} +(1.50590 + 4.63469i) q^{29} +(-2.53417 - 2.92882i) q^{30} +(4.10598 + 3.76044i) q^{31} +1.00000 q^{32} +(-2.73010 - 6.08305i) q^{33} +(0.751691 + 3.53643i) q^{34} +(0.578598 - 1.65197i) q^{35} +(-0.910029 + 2.85864i) q^{36} +(2.63315 + 4.56075i) q^{37} +(1.68470 + 0.750075i) q^{38} +(3.74847 + 2.14931i) q^{39} +(-1.91057 - 1.16177i) q^{40} +(1.59923 - 7.52377i) q^{41} +(-1.32535 + 0.285843i) q^{42} +(-5.98025 + 6.64174i) q^{43} +(-2.57585 - 2.86077i) q^{44} +(5.05976 - 4.40441i) q^{45} +(6.52599 + 2.12042i) q^{46} +(-2.79382 + 8.59849i) q^{47} +(0.00516182 + 1.73204i) q^{48} +(4.27390 + 4.74665i) q^{49} +(2.30058 + 4.43929i) q^{50} +(-6.12137 + 1.32022i) q^{51} +(2.44018 + 0.518677i) q^{52} +(-3.31260 - 7.44023i) q^{53} +(-4.95599 - 1.56145i) q^{54} +(1.59779 + 8.45825i) q^{55} +(-0.677913 + 0.391393i) q^{56} +(-1.29047 + 2.92184i) q^{57} +(-3.94250 + 2.86440i) q^{58} +(0.995997 + 4.68580i) q^{59} +(2.00237 - 3.31519i) q^{60} +4.37433i q^{61} +(-2.30758 + 5.06706i) q^{62} +(-0.501934 - 2.29409i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-4.05956 - 3.82590i) q^{65} +(4.94168 - 4.47624i) q^{66} +(1.21061 + 0.698948i) q^{67} +(-3.13106 + 1.80772i) q^{68} +(-3.63898 + 11.3142i) q^{69} +(1.74991 + 0.0397935i) q^{70} +(-2.80277 - 6.29512i) q^{71} +(-2.99995 + 0.0178810i) q^{72} +(0.874246 + 8.31790i) q^{73} +(-3.52385 + 3.91363i) q^{74} +(-7.67717 + 4.00762i) q^{75} +(-0.192764 + 1.83403i) q^{76} +(2.86588 + 0.931182i) q^{77} +(-0.885775 + 4.22918i) q^{78} +(-14.5205 - 1.52616i) q^{79} +(0.514509 - 2.17607i) q^{80} +(2.67892 - 8.59205i) q^{81} +(7.64972 - 0.804018i) q^{82} +(-1.54644 + 7.27543i) q^{83} +(-0.681409 - 1.17215i) q^{84} +(8.08227 + 0.183793i) q^{85} +(-8.16467 - 3.63515i) q^{86} +(-4.98161 - 6.81380i) q^{87} +(1.92477 - 3.33380i) q^{88} +(9.99308 - 7.26040i) q^{89} +(5.75239 + 3.45109i) q^{90} +(-1.85724 + 0.603453i) q^{91} +6.86183i q^{92} +(-8.78828 - 3.97066i) q^{93} -9.04099 q^{94} +(2.49901 - 3.28010i) q^{95} +(-1.64568 + 0.540140i) q^{96} +(-1.01105 - 1.39159i) q^{97} +(-3.19362 + 5.53152i) q^{98} +(7.77856 + 8.53609i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9} - 2 q^{10} + 20 q^{15} - 64 q^{16} - 6 q^{17} - 6 q^{18} - 4 q^{19} + 3 q^{20} + 20 q^{23} - 2 q^{25} + 42 q^{31} + 256 q^{32} + 8 q^{33} + 14 q^{34} - 16 q^{35} + 4 q^{36} + 36 q^{38} + 8 q^{39} + 3 q^{40} - 79 q^{45} - 10 q^{46} - 6 q^{47} - 40 q^{49} - 7 q^{50} + 68 q^{51} - 34 q^{53} - 6 q^{57} - 20 q^{60} + 2 q^{62} - 72 q^{63} - 64 q^{64} + 8 q^{66} - 6 q^{68} + 10 q^{69} - 16 q^{70} - 6 q^{72} - 2 q^{75} - 24 q^{76} + 100 q^{77} + 8 q^{78} + 40 q^{79} - 2 q^{80} + 12 q^{81} - 26 q^{83} - 30 q^{85} + 16 q^{87} - 49 q^{90} - 20 q^{91} - 22 q^{93} + 4 q^{94} + 56 q^{95} + 130 q^{98} + 102 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309017 + 0.951057i 0.218508 + 0.672499i
\(3\) −1.64568 + 0.540140i −0.950131 + 0.311850i
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) 2.22856 0.183115i 0.996641 0.0818916i
\(6\) −1.02225 1.39822i −0.417330 0.570820i
\(7\) 0.318388 0.715111i 0.120339 0.270286i −0.843324 0.537405i \(-0.819405\pi\)
0.963664 + 0.267118i \(0.0860714\pi\)
\(8\) −0.809017 0.587785i −0.286031 0.207813i
\(9\) 2.41650 1.77779i 0.805499 0.592597i
\(10\) 0.862815 + 2.06290i 0.272846 + 0.652346i
\(11\) 0.402387 + 3.82845i 0.121324 + 1.15432i 0.870575 + 0.492036i \(0.163747\pi\)
−0.749251 + 0.662286i \(0.769586\pi\)
\(12\) 1.01389 1.40429i 0.292686 0.405383i
\(13\) −1.66928 1.85392i −0.462974 0.514185i 0.465770 0.884906i \(-0.345777\pi\)
−0.928744 + 0.370721i \(0.879111\pi\)
\(14\) 0.778498 + 0.0818234i 0.208062 + 0.0218682i
\(15\) −3.56858 + 1.50508i −0.921402 + 0.388610i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 3.59563 + 0.377916i 0.872068 + 0.0916581i 0.529980 0.848010i \(-0.322199\pi\)
0.342088 + 0.939668i \(0.388866\pi\)
\(18\) 2.43752 + 1.74886i 0.574529 + 0.412210i
\(19\) 1.23396 1.37046i 0.283091 0.314404i −0.584782 0.811190i \(-0.698820\pi\)
0.867873 + 0.496786i \(0.165487\pi\)
\(20\) −1.69531 + 1.45806i −0.379083 + 0.326031i
\(21\) −0.137703 + 1.34881i −0.0300493 + 0.294335i
\(22\) −3.51673 + 1.56575i −0.749770 + 0.333819i
\(23\) 4.03328 5.55134i 0.840998 1.15753i −0.144778 0.989464i \(-0.546247\pi\)
0.985775 0.168070i \(-0.0537533\pi\)
\(24\) 1.64887 + 0.530322i 0.336573 + 0.108251i
\(25\) 4.93294 0.816165i 0.986588 0.163233i
\(26\) 1.24735 2.16047i 0.244625 0.423703i
\(27\) −3.01652 + 4.23091i −0.580529 + 0.814240i
\(28\) 0.162750 + 0.765680i 0.0307569 + 0.144700i
\(29\) 1.50590 + 4.63469i 0.279639 + 0.860640i 0.987955 + 0.154744i \(0.0494554\pi\)
−0.708316 + 0.705896i \(0.750545\pi\)
\(30\) −2.53417 2.92882i −0.462674 0.534727i
\(31\) 4.10598 + 3.76044i 0.737456 + 0.675395i
\(32\) 1.00000 0.176777
\(33\) −2.73010 6.08305i −0.475249 1.05892i
\(34\) 0.751691 + 3.53643i 0.128914 + 0.606493i
\(35\) 0.578598 1.65197i 0.0978009 0.279233i
\(36\) −0.910029 + 2.85864i −0.151671 + 0.476441i
\(37\) 2.63315 + 4.56075i 0.432888 + 0.749783i 0.997121 0.0758323i \(-0.0241614\pi\)
−0.564233 + 0.825616i \(0.690828\pi\)
\(38\) 1.68470 + 0.750075i 0.273294 + 0.121678i
\(39\) 3.74847 + 2.14931i 0.600235 + 0.344165i
\(40\) −1.91057 1.16177i −0.302088 0.183692i
\(41\) 1.59923 7.52377i 0.249757 1.17502i −0.657175 0.753738i \(-0.728249\pi\)
0.906932 0.421277i \(-0.138418\pi\)
\(42\) −1.32535 + 0.285843i −0.204506 + 0.0441065i
\(43\) −5.98025 + 6.64174i −0.911980 + 1.01286i 0.0878805 + 0.996131i \(0.471991\pi\)
−0.999860 + 0.0167250i \(0.994676\pi\)
\(44\) −2.57585 2.86077i −0.388323 0.431277i
\(45\) 5.05976 4.40441i 0.754265 0.656570i
\(46\) 6.52599 + 2.12042i 0.962204 + 0.312639i
\(47\) −2.79382 + 8.59849i −0.407520 + 1.25422i 0.511252 + 0.859431i \(0.329182\pi\)
−0.918772 + 0.394788i \(0.870818\pi\)
\(48\) 0.00516182 + 1.73204i 0.000745044 + 0.249999i
\(49\) 4.27390 + 4.74665i 0.610557 + 0.678093i
\(50\) 2.30058 + 4.43929i 0.325351 + 0.627811i
\(51\) −6.12137 + 1.32022i −0.857163 + 0.184867i
\(52\) 2.44018 + 0.518677i 0.338392 + 0.0719275i
\(53\) −3.31260 7.44023i −0.455021 1.02199i −0.984774 0.173842i \(-0.944382\pi\)
0.529753 0.848152i \(-0.322285\pi\)
\(54\) −4.95599 1.56145i −0.674425 0.212487i
\(55\) 1.59779 + 8.45825i 0.215446 + 1.14051i
\(56\) −0.677913 + 0.391393i −0.0905899 + 0.0523021i
\(57\) −1.29047 + 2.92184i −0.170926 + 0.387007i
\(58\) −3.94250 + 2.86440i −0.517676 + 0.376114i
\(59\) 0.995997 + 4.68580i 0.129668 + 0.610039i 0.994208 + 0.107475i \(0.0342765\pi\)
−0.864540 + 0.502564i \(0.832390\pi\)
\(60\) 2.00237 3.31519i 0.258505 0.427989i
\(61\) 4.37433i 0.560076i 0.959989 + 0.280038i \(0.0903470\pi\)
−0.959989 + 0.280038i \(0.909653\pi\)
\(62\) −2.30758 + 5.06706i −0.293062 + 0.643517i
\(63\) −0.501934 2.29409i −0.0632377 0.289028i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) −4.05956 3.82590i −0.503527 0.474544i
\(66\) 4.94168 4.47624i 0.608278 0.550988i
\(67\) 1.21061 + 0.698948i 0.147900 + 0.0853901i 0.572124 0.820167i \(-0.306120\pi\)
−0.424224 + 0.905557i \(0.639453\pi\)
\(68\) −3.13106 + 1.80772i −0.379697 + 0.219218i
\(69\) −3.63898 + 11.3142i −0.438081 + 1.36207i
\(70\) 1.74991 + 0.0397935i 0.209154 + 0.00475623i
\(71\) −2.80277 6.29512i −0.332627 0.747094i −0.999997 0.00236696i \(-0.999247\pi\)
0.667370 0.744727i \(-0.267420\pi\)
\(72\) −2.99995 + 0.0178810i −0.353547 + 0.00210729i
\(73\) 0.874246 + 8.31790i 0.102323 + 0.973536i 0.918416 + 0.395616i \(0.129469\pi\)
−0.816093 + 0.577920i \(0.803864\pi\)
\(74\) −3.52385 + 3.91363i −0.409639 + 0.454950i
\(75\) −7.67717 + 4.00762i −0.886484 + 0.462760i
\(76\) −0.192764 + 1.83403i −0.0221116 + 0.210377i
\(77\) 2.86588 + 0.931182i 0.326598 + 0.106118i
\(78\) −0.885775 + 4.22918i −0.100294 + 0.478860i
\(79\) −14.5205 1.52616i −1.63368 0.171707i −0.757212 0.653169i \(-0.773439\pi\)
−0.876467 + 0.481463i \(0.840106\pi\)
\(80\) 0.514509 2.17607i 0.0575239 0.243292i
\(81\) 2.67892 8.59205i 0.297658 0.954673i
\(82\) 7.64972 0.804018i 0.844770 0.0887889i
\(83\) −1.54644 + 7.27543i −0.169744 + 0.798582i 0.808067 + 0.589091i \(0.200514\pi\)
−0.977811 + 0.209491i \(0.932819\pi\)
\(84\) −0.681409 1.17215i −0.0743478 0.127892i
\(85\) 8.08227 + 0.183793i 0.876645 + 0.0199352i
\(86\) −8.16467 3.63515i −0.880419 0.391988i
\(87\) −4.98161 6.81380i −0.534084 0.730516i
\(88\) 1.92477 3.33380i 0.205181 0.355384i
\(89\) 9.99308 7.26040i 1.05926 0.769600i 0.0853120 0.996354i \(-0.472811\pi\)
0.973952 + 0.226754i \(0.0728113\pi\)
\(90\) 5.75239 + 3.45109i 0.606355 + 0.363776i
\(91\) −1.85724 + 0.603453i −0.194691 + 0.0632590i
\(92\) 6.86183i 0.715395i
\(93\) −8.78828 3.97066i −0.911302 0.411739i
\(94\) −9.04099 −0.932507
\(95\) 2.49901 3.28010i 0.256393 0.336531i
\(96\) −1.64568 + 0.540140i −0.167961 + 0.0551278i
\(97\) −1.01105 1.39159i −0.102657 0.141295i 0.754598 0.656187i \(-0.227832\pi\)
−0.857255 + 0.514892i \(0.827832\pi\)
\(98\) −3.19362 + 5.53152i −0.322605 + 0.558768i
\(99\) 7.77856 + 8.53609i 0.781774 + 0.857909i
\(100\) −3.51110 + 3.55980i −0.351110 + 0.355980i
\(101\) 9.58213 13.1887i 0.953458 1.31232i 0.00348362 0.999994i \(-0.498891\pi\)
0.949974 0.312328i \(-0.101109\pi\)
\(102\) −3.14721 5.41380i −0.311620 0.536046i
\(103\) −0.370070 + 1.74104i −0.0364640 + 0.171550i −0.992612 0.121336i \(-0.961282\pi\)
0.956147 + 0.292886i \(0.0946155\pi\)
\(104\) 0.260767 + 2.48103i 0.0255703 + 0.243285i
\(105\) −0.0598913 + 3.03113i −0.00584479 + 0.295808i
\(106\) 6.05243 5.44963i 0.587864 0.529315i
\(107\) −0.806799 + 7.67618i −0.0779962 + 0.742084i 0.883716 + 0.468023i \(0.155034\pi\)
−0.961712 + 0.274061i \(0.911633\pi\)
\(108\) −0.0464558 5.19594i −0.00447021 0.499980i
\(109\) −0.754139 + 2.32100i −0.0722334 + 0.222312i −0.980655 0.195743i \(-0.937288\pi\)
0.908422 + 0.418055i \(0.137288\pi\)
\(110\) −7.55053 + 4.13333i −0.719915 + 0.394098i
\(111\) −6.79676 6.08325i −0.645120 0.577397i
\(112\) −0.581724 0.523786i −0.0549677 0.0494931i
\(113\) −0.0409163 0.389293i −0.00384909 0.0366216i 0.992429 0.122822i \(-0.0391943\pi\)
−0.996278 + 0.0861999i \(0.972528\pi\)
\(114\) −3.17761 0.324409i −0.297610 0.0303837i
\(115\) 7.97187 13.1100i 0.743381 1.22252i
\(116\) −3.94250 2.86440i −0.366052 0.265952i
\(117\) −7.32969 1.51237i −0.677630 0.139819i
\(118\) −4.14868 + 2.39524i −0.381917 + 0.220500i
\(119\) 1.41506 2.45095i 0.129718 0.224678i
\(120\) 3.77170 + 0.879920i 0.344308 + 0.0803253i
\(121\) −3.73552 + 0.794010i −0.339593 + 0.0721827i
\(122\) −4.16024 + 1.35174i −0.376650 + 0.122381i
\(123\) 1.43208 + 13.2455i 0.129126 + 1.19431i
\(124\) −5.53214 0.628827i −0.496801 0.0564703i
\(125\) 10.8439 2.72217i 0.969906 0.243478i
\(126\) 2.02670 1.18628i 0.180553 0.105682i
\(127\) 16.8171 3.57458i 1.49228 0.317193i 0.611697 0.791092i \(-0.290487\pi\)
0.880579 + 0.473899i \(0.157154\pi\)
\(128\) −0.809017 + 0.587785i −0.0715077 + 0.0519534i
\(129\) 6.25408 14.1603i 0.550641 1.24675i
\(130\) 2.38417 5.04314i 0.209106 0.442313i
\(131\) 2.80552 6.30129i 0.245119 0.550546i −0.748526 0.663105i \(-0.769238\pi\)
0.993645 + 0.112559i \(0.0359048\pi\)
\(132\) 5.78422 + 3.31658i 0.503452 + 0.288671i
\(133\) −0.587148 1.31876i −0.0509122 0.114351i
\(134\) −0.290639 + 1.36735i −0.0251074 + 0.118121i
\(135\) −5.94774 + 9.98120i −0.511900 + 0.859045i
\(136\) −2.68679 2.41920i −0.230391 0.207445i
\(137\) 9.81998 8.84195i 0.838978 0.755419i −0.132844 0.991137i \(-0.542411\pi\)
0.971821 + 0.235718i \(0.0757442\pi\)
\(138\) −11.8850 + 0.0354195i −1.01172 + 0.00301511i
\(139\) 11.6813 + 3.79550i 0.990799 + 0.321930i 0.759183 0.650877i \(-0.225599\pi\)
0.231616 + 0.972807i \(0.425599\pi\)
\(140\) 0.502906 + 1.67656i 0.0425033 + 0.141695i
\(141\) −0.0466679 15.6594i −0.00393015 1.31876i
\(142\) 5.12091 4.61089i 0.429738 0.386937i
\(143\) 6.42596 7.13675i 0.537366 0.596805i
\(144\) −0.944040 2.84759i −0.0786700 0.237299i
\(145\) 4.20467 + 10.0529i 0.349179 + 0.834850i
\(146\) −7.64063 + 3.40183i −0.632343 + 0.281537i
\(147\) −9.59731 5.50294i −0.791573 0.453875i
\(148\) −4.81101 2.14200i −0.395462 0.176071i
\(149\) 2.86675 1.65512i 0.234853 0.135593i −0.377956 0.925824i \(-0.623373\pi\)
0.612809 + 0.790231i \(0.290040\pi\)
\(150\) −6.18385 6.06300i −0.504909 0.495042i
\(151\) 7.72992 + 10.6393i 0.629052 + 0.865816i 0.997973 0.0636448i \(-0.0202725\pi\)
−0.368920 + 0.929461i \(0.620272\pi\)
\(152\) −1.80383 + 0.383416i −0.146310 + 0.0310992i
\(153\) 9.36069 5.47904i 0.756767 0.442954i
\(154\) 3.01337i 0.242824i
\(155\) 9.83901 + 7.62849i 0.790288 + 0.612735i
\(156\) −4.29591 + 0.464466i −0.343948 + 0.0371870i
\(157\) −21.0956 + 6.85437i −1.68361 + 0.547039i −0.985607 0.169054i \(-0.945929\pi\)
−0.698005 + 0.716093i \(0.745929\pi\)
\(158\) −3.03560 14.2814i −0.241499 1.13617i
\(159\) 9.47023 + 10.4549i 0.751038 + 0.829130i
\(160\) 2.22856 0.183115i 0.176183 0.0144765i
\(161\) −2.68567 4.65172i −0.211661 0.366607i
\(162\) 8.99936 0.107284i 0.707057 0.00842902i
\(163\) 12.6788 17.4509i 0.993079 1.36686i 0.0636024 0.997975i \(-0.479741\pi\)
0.929477 0.368881i \(-0.120259\pi\)
\(164\) 3.12856 + 7.02686i 0.244300 + 0.548706i
\(165\) −7.19808 13.0565i −0.560370 1.01645i
\(166\) −7.39722 + 0.777479i −0.574136 + 0.0603441i
\(167\) 4.37531 + 3.93955i 0.338572 + 0.304851i 0.820824 0.571181i \(-0.193515\pi\)
−0.482253 + 0.876032i \(0.660181\pi\)
\(168\) 0.904218 1.01027i 0.0697619 0.0779443i
\(169\) 0.708336 6.73936i 0.0544874 0.518413i
\(170\) 2.32276 + 7.74349i 0.178148 + 0.593899i
\(171\) 0.545488 5.50543i 0.0417145 0.421011i
\(172\) 0.934207 8.88838i 0.0712326 0.677733i
\(173\) −13.0017 14.4398i −0.988501 1.09784i −0.995200 0.0978637i \(-0.968799\pi\)
0.00669907 0.999978i \(-0.497868\pi\)
\(174\) 4.94091 6.84337i 0.374569 0.518795i
\(175\) 0.986939 3.78745i 0.0746056 0.286305i
\(176\) 3.76542 + 0.800365i 0.283829 + 0.0603298i
\(177\) −4.17007 7.17332i −0.313442 0.539180i
\(178\) 9.99308 + 7.26040i 0.749013 + 0.544190i
\(179\) −16.9842 7.56186i −1.26946 0.565200i −0.342203 0.939626i \(-0.611173\pi\)
−0.927257 + 0.374426i \(0.877840\pi\)
\(180\) −1.50459 + 6.53729i −0.112146 + 0.487261i
\(181\) −15.6682 9.04605i −1.16461 0.672388i −0.212206 0.977225i \(-0.568065\pi\)
−0.952405 + 0.304837i \(0.901398\pi\)
\(182\) −1.14784 1.57986i −0.0850832 0.117107i
\(183\) −2.36275 7.19873i −0.174660 0.532146i
\(184\) −6.52599 + 2.12042i −0.481102 + 0.156320i
\(185\) 6.70327 + 9.68173i 0.492835 + 0.711815i
\(186\) 1.06060 9.58515i 0.0777669 0.702817i
\(187\) 13.9178i 1.01777i
\(188\) −2.79382 8.59849i −0.203760 0.627110i
\(189\) 2.06515 + 3.50421i 0.150218 + 0.254894i
\(190\) 3.89179 + 1.36309i 0.282340 + 0.0988891i
\(191\) −9.84894 5.68629i −0.712644 0.411445i 0.0993950 0.995048i \(-0.468309\pi\)
−0.812039 + 0.583603i \(0.801643\pi\)
\(192\) −1.02225 1.39822i −0.0737742 0.100908i
\(193\) 2.15768 4.84622i 0.155313 0.348838i −0.819084 0.573674i \(-0.805518\pi\)
0.974397 + 0.224835i \(0.0721844\pi\)
\(194\) 1.01105 1.39159i 0.0725892 0.0999105i
\(195\) 8.74725 + 4.10346i 0.626403 + 0.293855i
\(196\) −6.24767 1.32798i −0.446262 0.0948559i
\(197\) −19.5658 + 2.05645i −1.39400 + 0.146516i −0.771564 0.636152i \(-0.780525\pi\)
−0.622440 + 0.782667i \(0.713859\pi\)
\(198\) −5.71460 + 10.0356i −0.406119 + 0.713202i
\(199\) −6.34389 + 5.71207i −0.449707 + 0.404918i −0.862620 0.505853i \(-0.831178\pi\)
0.412913 + 0.910770i \(0.364511\pi\)
\(200\) −4.47056 2.23922i −0.316116 0.158337i
\(201\) −2.36981 0.496341i −0.167153 0.0350092i
\(202\) 15.5042 + 5.03763i 1.09087 + 0.354446i
\(203\) 3.79378 + 0.398742i 0.266271 + 0.0279862i
\(204\) 4.17629 4.66613i 0.292399 0.326694i
\(205\) 2.18625 17.0600i 0.152695 1.19152i
\(206\) −1.77019 + 0.186054i −0.123335 + 0.0129630i
\(207\) −0.122696 20.5851i −0.00852798 1.43077i
\(208\) −2.27902 + 1.01468i −0.158022 + 0.0703557i
\(209\) 5.74326 + 4.17272i 0.397269 + 0.288633i
\(210\) −2.90128 + 0.879710i −0.200207 + 0.0607057i
\(211\) −11.6876 20.2435i −0.804608 1.39362i −0.916555 0.399908i \(-0.869042\pi\)
0.111947 0.993714i \(-0.464291\pi\)
\(212\) 7.05321 + 4.07217i 0.484416 + 0.279678i
\(213\) 8.01270 + 8.84584i 0.549021 + 0.606107i
\(214\) −7.54979 + 1.60476i −0.516093 + 0.109699i
\(215\) −12.1111 + 15.8966i −0.825972 + 1.08414i
\(216\) 4.92728 1.64982i 0.335259 0.112256i
\(217\) 3.99643 1.73895i 0.271295 0.118048i
\(218\) −2.44045 −0.165288
\(219\) −5.93155 13.2163i −0.400817 0.893078i
\(220\) −6.26427 5.90371i −0.422337 0.398028i
\(221\) −5.30148 7.29686i −0.356616 0.490840i
\(222\) 3.68520 8.34393i 0.247335 0.560008i
\(223\) −6.63291 11.4885i −0.444172 0.769329i 0.553822 0.832635i \(-0.313169\pi\)
−0.997994 + 0.0633062i \(0.979836\pi\)
\(224\) 0.318388 0.715111i 0.0212732 0.0477804i
\(225\) 10.4695 10.7420i 0.697964 0.716133i
\(226\) 0.357596 0.159212i 0.0237869 0.0105906i
\(227\) 16.7623 + 3.56294i 1.11255 + 0.236480i 0.727293 0.686327i \(-0.240778\pi\)
0.385260 + 0.922808i \(0.374112\pi\)
\(228\) −0.673404 3.12233i −0.0445973 0.206782i
\(229\) −7.27677 6.55203i −0.480863 0.432971i 0.392712 0.919662i \(-0.371537\pi\)
−0.873574 + 0.486691i \(0.838204\pi\)
\(230\) 14.9318 + 3.53048i 0.984575 + 0.232793i
\(231\) −5.21928 + 0.0155545i −0.343404 + 0.00102341i
\(232\) 1.50590 4.63469i 0.0988673 0.304282i
\(233\) −0.697933 + 2.14802i −0.0457231 + 0.140721i −0.971312 0.237810i \(-0.923571\pi\)
0.925589 + 0.378531i \(0.123571\pi\)
\(234\) −0.826650 7.43830i −0.0540398 0.486257i
\(235\) −4.65167 + 19.6738i −0.303442 + 1.28338i
\(236\) −3.56002 3.20546i −0.231738 0.208657i
\(237\) 24.7203 5.33151i 1.60576 0.346319i
\(238\) 2.76827 + 0.588414i 0.179440 + 0.0381412i
\(239\) −5.60126 + 2.49384i −0.362315 + 0.161313i −0.579817 0.814747i \(-0.696876\pi\)
0.217502 + 0.976060i \(0.430209\pi\)
\(240\) 0.328667 + 3.85901i 0.0212153 + 0.249098i
\(241\) −8.32569 + 18.6998i −0.536305 + 1.20456i 0.418742 + 0.908105i \(0.362471\pi\)
−0.955047 + 0.296455i \(0.904196\pi\)
\(242\) −1.90949 3.30733i −0.122747 0.212603i
\(243\) 0.232274 + 15.5867i 0.0149004 + 0.999889i
\(244\) −2.57117 3.53891i −0.164602 0.226555i
\(245\) 10.3938 + 9.79556i 0.664037 + 0.625816i
\(246\) −12.1547 + 5.45507i −0.774954 + 0.347803i
\(247\) −4.60054 −0.292726
\(248\) −1.11148 5.45570i −0.0705788 0.346437i
\(249\) −1.38481 12.8083i −0.0877588 0.811692i
\(250\) 5.93988 + 9.47195i 0.375671 + 0.599059i
\(251\) −1.91005 + 0.405994i −0.120561 + 0.0256261i −0.267797 0.963475i \(-0.586296\pi\)
0.147236 + 0.989101i \(0.452962\pi\)
\(252\) 1.75451 + 1.56093i 0.110523 + 0.0983293i
\(253\) 22.8760 + 13.2075i 1.43820 + 0.830345i
\(254\) 8.59640 + 14.8894i 0.539386 + 0.934244i
\(255\) −13.4001 + 4.06309i −0.839145 + 0.254441i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 17.4013 7.74755i 1.08546 0.483279i 0.215554 0.976492i \(-0.430844\pi\)
0.869909 + 0.493213i \(0.164178\pi\)
\(258\) 15.3999 + 1.57221i 0.958755 + 0.0978813i
\(259\) 4.09981 0.430907i 0.254750 0.0267753i
\(260\) 5.53306 + 0.709067i 0.343146 + 0.0439744i
\(261\) 11.8785 + 8.52254i 0.735262 + 0.527532i
\(262\) 6.85984 + 0.720998i 0.423802 + 0.0445434i
\(263\) 0.849899 + 0.276149i 0.0524070 + 0.0170281i 0.335103 0.942181i \(-0.391229\pi\)
−0.282696 + 0.959210i \(0.591229\pi\)
\(264\) −1.36683 + 6.52600i −0.0841226 + 0.401648i
\(265\) −8.74474 15.9744i −0.537185 0.981299i
\(266\) 1.07277 0.965930i 0.0657760 0.0592250i
\(267\) −12.5237 + 17.3459i −0.766440 + 1.06155i
\(268\) −1.39024 + 0.146120i −0.0849223 + 0.00892569i
\(269\) 20.8075 + 4.42278i 1.26866 + 0.269661i 0.792594 0.609750i \(-0.208730\pi\)
0.476063 + 0.879411i \(0.342063\pi\)
\(270\) −11.3306 2.57227i −0.689561 0.156543i
\(271\) −4.32385 + 5.95127i −0.262655 + 0.361514i −0.919893 0.392169i \(-0.871725\pi\)
0.657238 + 0.753683i \(0.271725\pi\)
\(272\) 1.47053 3.30287i 0.0891640 0.200266i
\(273\) 2.73046 1.99626i 0.165255 0.120819i
\(274\) 11.4437 + 6.60704i 0.691341 + 0.399146i
\(275\) 5.10960 + 18.5571i 0.308120 + 1.11904i
\(276\) −3.70635 11.2923i −0.223096 0.679719i
\(277\) 4.23752 + 13.0418i 0.254608 + 0.783603i 0.993907 + 0.110225i \(0.0351573\pi\)
−0.739298 + 0.673378i \(0.764843\pi\)
\(278\) 12.2825i 0.736655i
\(279\) 16.6074 + 1.78753i 0.994257 + 0.107016i
\(280\) −1.43910 + 0.996378i −0.0860025 + 0.0595450i
\(281\) −16.9164 + 5.49648i −1.00915 + 0.327892i −0.766515 0.642226i \(-0.778011\pi\)
−0.242633 + 0.970118i \(0.578011\pi\)
\(282\) 14.8785 4.88340i 0.886004 0.290802i
\(283\) 0.0828241 + 0.113998i 0.00492338 + 0.00677645i 0.811472 0.584392i \(-0.198667\pi\)
−0.806548 + 0.591168i \(0.798667\pi\)
\(284\) 5.96767 + 3.44543i 0.354116 + 0.204449i
\(285\) −2.34085 + 6.74779i −0.138660 + 0.399705i
\(286\) 8.77318 + 3.90607i 0.518769 + 0.230971i
\(287\) −4.87116 3.53910i −0.287535 0.208907i
\(288\) 2.41650 1.77779i 0.142393 0.104757i
\(289\) −3.84277 0.816806i −0.226045 0.0480474i
\(290\) −8.26158 + 7.10540i −0.485137 + 0.417244i
\(291\) 2.41552 + 1.74400i 0.141600 + 0.102235i
\(292\) −5.59642 6.21545i −0.327506 0.363732i
\(293\) −1.09860 + 10.4525i −0.0641809 + 0.610641i 0.914405 + 0.404801i \(0.132659\pi\)
−0.978586 + 0.205840i \(0.934007\pi\)
\(294\) 2.26787 10.8281i 0.132265 0.631507i
\(295\) 3.07768 + 10.2602i 0.179189 + 0.597371i
\(296\) 0.550479 5.23746i 0.0319959 0.304421i
\(297\) −17.4117 9.84613i −1.01033 0.571330i
\(298\) 2.45999 + 2.21498i 0.142503 + 0.128310i
\(299\) −17.0244 + 1.78934i −0.984547 + 0.103480i
\(300\) 3.85534 7.75476i 0.222588 0.447721i
\(301\) 2.84554 + 6.39119i 0.164014 + 0.368382i
\(302\) −7.72992 + 10.6393i −0.444807 + 0.612225i
\(303\) −8.64535 + 26.8800i −0.496663 + 1.54421i
\(304\) −0.922065 1.59706i −0.0528840 0.0915979i
\(305\) 0.801006 + 9.74845i 0.0458655 + 0.558195i
\(306\) 8.10349 + 7.20943i 0.463246 + 0.412135i
\(307\) −5.09628 23.9761i −0.290860 1.36839i −0.844465 0.535611i \(-0.820081\pi\)
0.553605 0.832780i \(-0.313252\pi\)
\(308\) −2.86588 + 0.931182i −0.163299 + 0.0530590i
\(309\) −0.331391 3.06508i −0.0188522 0.174366i
\(310\) −4.21471 + 11.7148i −0.239379 + 0.665355i
\(311\) 15.4406i 0.875557i −0.899083 0.437778i \(-0.855765\pi\)
0.899083 0.437778i \(-0.144235\pi\)
\(312\) −1.76924 3.94212i −0.100164 0.223179i
\(313\) −3.13905 + 0.667225i −0.177429 + 0.0377138i −0.295770 0.955259i \(-0.595576\pi\)
0.118340 + 0.992973i \(0.462243\pi\)
\(314\) −13.0378 17.9450i −0.735765 1.01269i
\(315\) −1.53867 5.02060i −0.0866943 0.282879i
\(316\) 12.6443 7.30022i 0.711300 0.410669i
\(317\) −20.8905 9.30107i −1.17333 0.522400i −0.274881 0.961478i \(-0.588639\pi\)
−0.898449 + 0.439078i \(0.855305\pi\)
\(318\) −7.01677 + 12.2375i −0.393481 + 0.686244i
\(319\) −17.1377 + 7.63022i −0.959529 + 0.427210i
\(320\) 0.862815 + 2.06290i 0.0482328 + 0.115320i
\(321\) −2.81848 13.0683i −0.157312 0.729400i
\(322\) 3.59413 3.99169i 0.200293 0.222448i
\(323\) 4.95479 4.46132i 0.275692 0.248234i
\(324\) 2.88299 + 8.52575i 0.160166 + 0.473653i
\(325\) −9.74755 7.78287i −0.540697 0.431716i
\(326\) 20.5147 + 6.66563i 1.13620 + 0.369175i
\(327\) −0.0125971 4.22696i −0.000696623 0.233751i
\(328\) −5.71616 + 5.14686i −0.315622 + 0.284188i
\(329\) 5.25936 + 4.73555i 0.289958 + 0.261079i
\(330\) 10.1931 10.8805i 0.561114 0.598950i
\(331\) 6.40107 30.1147i 0.351835 1.65525i −0.345434 0.938443i \(-0.612268\pi\)
0.697269 0.716810i \(-0.254398\pi\)
\(332\) −3.02529 6.79492i −0.166035 0.372920i
\(333\) 14.4711 + 6.33986i 0.793010 + 0.347422i
\(334\) −2.39469 + 5.37855i −0.131031 + 0.294301i
\(335\) 2.82591 + 1.33596i 0.154396 + 0.0729915i
\(336\) 1.24025 + 0.547770i 0.0676610 + 0.0298833i
\(337\) −11.9138 + 8.65590i −0.648987 + 0.471517i −0.862926 0.505330i \(-0.831371\pi\)
0.213939 + 0.976847i \(0.431371\pi\)
\(338\) 6.62840 1.40891i 0.360538 0.0766347i
\(339\) 0.277608 + 0.618549i 0.0150776 + 0.0335950i
\(340\) −6.64673 + 4.60195i −0.360469 + 0.249576i
\(341\) −12.7445 + 17.2327i −0.690153 + 0.933204i
\(342\) 5.40454 1.18248i 0.292244 0.0639413i
\(343\) 9.96646 3.23830i 0.538138 0.174852i
\(344\) 8.74204 1.85818i 0.471339 0.100186i
\(345\) −6.03786 + 25.8808i −0.325067 + 1.39337i
\(346\) 9.71537 16.8275i 0.522301 0.904652i
\(347\) 2.72675 1.57429i 0.146380 0.0845123i −0.425021 0.905183i \(-0.639733\pi\)
0.571401 + 0.820671i \(0.306400\pi\)
\(348\) 8.03526 + 2.58436i 0.430735 + 0.138536i
\(349\) 12.8792 + 9.35731i 0.689410 + 0.500885i 0.876466 0.481464i \(-0.159895\pi\)
−0.187056 + 0.982349i \(0.559895\pi\)
\(350\) 3.90706 0.231753i 0.208841 0.0123877i
\(351\) 12.8792 1.47019i 0.687440 0.0784728i
\(352\) 0.402387 + 3.82845i 0.0214473 + 0.204057i
\(353\) −15.2101 13.6952i −0.809551 0.728923i 0.156387 0.987696i \(-0.450015\pi\)
−0.965938 + 0.258773i \(0.916682\pi\)
\(354\) 5.53361 6.18265i 0.294108 0.328604i
\(355\) −7.39886 13.5158i −0.392691 0.717345i
\(356\) −3.81702 + 11.7476i −0.202301 + 0.622620i
\(357\) −1.00487 + 4.79780i −0.0531833 + 0.253926i
\(358\) 1.94335 18.4897i 0.102709 0.977211i
\(359\) 9.99683 9.00118i 0.527612 0.475064i −0.361745 0.932277i \(-0.617819\pi\)
0.889357 + 0.457213i \(0.151152\pi\)
\(360\) −6.68228 + 0.589184i −0.352187 + 0.0310527i
\(361\) 1.63056 + 15.5137i 0.0858189 + 0.816512i
\(362\) 3.76156 17.6968i 0.197703 0.930121i
\(363\) 5.71858 3.32439i 0.300148 0.174485i
\(364\) 1.14784 1.57986i 0.0601629 0.0828072i
\(365\) 3.47144 + 18.3768i 0.181703 + 0.961887i
\(366\) 6.11627 4.47164i 0.319703 0.233736i
\(367\) −13.0817 + 22.6581i −0.682857 + 1.18274i 0.291248 + 0.956648i \(0.405930\pi\)
−0.974105 + 0.226096i \(0.927404\pi\)
\(368\) −4.03328 5.55134i −0.210249 0.289383i
\(369\) −9.51116 21.0243i −0.495131 1.09448i
\(370\) −7.13645 + 9.36701i −0.371006 + 0.486968i
\(371\) −6.37528 −0.330988
\(372\) 9.44376 1.95328i 0.489636 0.101273i
\(373\) 6.16732i 0.319332i 0.987171 + 0.159666i \(0.0510417\pi\)
−0.987171 + 0.159666i \(0.948958\pi\)
\(374\) −13.2366 + 4.30083i −0.684448 + 0.222391i
\(375\) −16.3752 + 10.3370i −0.845610 + 0.533801i
\(376\) 7.31431 5.31416i 0.377207 0.274057i
\(377\) 6.07858 10.5284i 0.313063 0.542241i
\(378\) −2.69454 + 3.04694i −0.138592 + 0.156717i
\(379\) −23.3730 10.4063i −1.20059 0.534538i −0.293698 0.955898i \(-0.594886\pi\)
−0.906893 + 0.421360i \(0.861553\pi\)
\(380\) −0.0937476 + 4.12253i −0.00480915 + 0.211482i
\(381\) −25.7447 + 14.9662i −1.31894 + 0.766741i
\(382\) 2.36449 11.1241i 0.120978 0.569156i
\(383\) −1.14409 + 0.120249i −0.0584603 + 0.00614443i −0.133713 0.991020i \(-0.542690\pi\)
0.0752531 + 0.997164i \(0.476024\pi\)
\(384\) 1.01389 1.40429i 0.0517400 0.0716622i
\(385\) 6.55730 + 1.55041i 0.334191 + 0.0790160i
\(386\) 5.27579 + 0.554507i 0.268530 + 0.0282237i
\(387\) −2.64364 + 26.6814i −0.134384 + 1.35629i
\(388\) 1.63591 + 0.531541i 0.0830510 + 0.0269849i
\(389\) −2.36307 + 22.4831i −0.119813 + 1.13994i 0.755083 + 0.655629i \(0.227596\pi\)
−0.874896 + 0.484311i \(0.839070\pi\)
\(390\) −1.19957 + 9.58716i −0.0607428 + 0.485465i
\(391\) 16.6001 18.4363i 0.839505 0.932364i
\(392\) −0.667649 6.35226i −0.0337214 0.320837i
\(393\) −1.21339 + 11.8853i −0.0612074 + 0.599532i
\(394\) −8.00196 17.9727i −0.403133 0.905451i
\(395\) −32.6391 0.742224i −1.64225 0.0373453i
\(396\) −11.3104 2.33372i −0.568368 0.117274i
\(397\) −0.951465 + 0.549328i −0.0477526 + 0.0275700i −0.523686 0.851911i \(-0.675444\pi\)
0.475934 + 0.879481i \(0.342110\pi\)
\(398\) −7.39287 4.26827i −0.370571 0.213949i
\(399\) 1.67857 + 1.85310i 0.0840336 + 0.0927713i
\(400\) 0.748142 4.94371i 0.0374071 0.247186i
\(401\) −4.81505 14.8192i −0.240452 0.740035i −0.996351 0.0853473i \(-0.972800\pi\)
0.755899 0.654688i \(-0.227200\pi\)
\(402\) −0.260262 2.40720i −0.0129807 0.120060i
\(403\) 0.117540 13.8894i 0.00585508 0.691880i
\(404\) 16.3021i 0.811060i
\(405\) 4.39680 19.6384i 0.218479 0.975842i
\(406\) 0.793116 + 3.73132i 0.0393617 + 0.185182i
\(407\) −16.4011 + 11.9161i −0.812972 + 0.590659i
\(408\) 5.72830 + 2.52997i 0.283593 + 0.125252i
\(409\) 17.9508 10.3639i 0.887611 0.512462i 0.0144505 0.999896i \(-0.495400\pi\)
0.873160 + 0.487433i \(0.162067\pi\)
\(410\) 16.9006 3.19258i 0.834662 0.157670i
\(411\) −11.3846 + 19.8551i −0.561562 + 0.979382i
\(412\) −0.723965 1.62605i −0.0356672 0.0801099i
\(413\) 3.66798 + 0.779652i 0.180489 + 0.0383642i
\(414\) 19.5397 6.47784i 0.960324 0.318369i
\(415\) −2.11409 + 16.4969i −0.103777 + 0.809800i
\(416\) −1.66928 1.85392i −0.0818431 0.0908960i
\(417\) −21.2738 + 0.0634000i −1.04178 + 0.00310471i
\(418\) −2.19373 + 6.75160i −0.107299 + 0.330232i
\(419\) −0.544837 0.177028i −0.0266170 0.00864840i 0.295678 0.955288i \(-0.404454\pi\)
−0.322295 + 0.946639i \(0.604454\pi\)
\(420\) −1.73320 2.48744i −0.0845714 0.121374i
\(421\) 26.4717 + 29.3998i 1.29015 + 1.43286i 0.842546 + 0.538624i \(0.181056\pi\)
0.447603 + 0.894232i \(0.352278\pi\)
\(422\) 15.6411 17.3712i 0.761395 0.845615i
\(423\) 8.53506 + 25.7451i 0.414989 + 1.25177i
\(424\) −1.69330 + 7.96637i −0.0822341 + 0.386881i
\(425\) 18.0455 1.07039i 0.875334 0.0519216i
\(426\) −5.93684 + 10.3540i −0.287641 + 0.501655i
\(427\) 3.12813 + 1.39273i 0.151381 + 0.0673991i
\(428\) −3.85923 6.68438i −0.186543 0.323102i
\(429\) −6.72020 + 15.2157i −0.324454 + 0.734620i
\(430\) −18.8611 6.60606i −0.909562 0.318572i
\(431\) −5.17671 24.3545i −0.249353 1.17312i −0.907443 0.420175i \(-0.861969\pi\)
0.658090 0.752940i \(-0.271365\pi\)
\(432\) 3.09168 + 4.17630i 0.148749 + 0.200932i
\(433\) 0.0670596 0.00322268 0.00161134 0.999999i \(-0.499487\pi\)
0.00161134 + 0.999999i \(0.499487\pi\)
\(434\) 2.88881 + 3.26346i 0.138667 + 0.156651i
\(435\) −12.3495 14.2727i −0.592114 0.684325i
\(436\) −0.754139 2.32100i −0.0361167 0.111156i
\(437\) −2.63094 12.3776i −0.125855 0.592100i
\(438\) 10.7365 9.72532i 0.513012 0.464694i
\(439\) −4.46364 + 7.73125i −0.213038 + 0.368992i −0.952664 0.304026i \(-0.901669\pi\)
0.739626 + 0.673018i \(0.235002\pi\)
\(440\) 3.67899 7.78202i 0.175389 0.370993i
\(441\) 18.7664 + 3.87216i 0.893639 + 0.184389i
\(442\) 5.30148 7.29686i 0.252166 0.347076i
\(443\) 7.40139 3.29531i 0.351651 0.156565i −0.223307 0.974748i \(-0.571685\pi\)
0.574958 + 0.818183i \(0.305019\pi\)
\(444\) 9.07434 + 0.926418i 0.430649 + 0.0439659i
\(445\) 20.9407 18.0101i 0.992683 0.853760i
\(446\) 8.87656 9.85842i 0.420317 0.466810i
\(447\) −3.82374 + 4.27223i −0.180857 + 0.202070i
\(448\) 0.778498 + 0.0818234i 0.0367806 + 0.00386579i
\(449\) 3.25657 10.0227i 0.153687 0.473000i −0.844338 0.535810i \(-0.820006\pi\)
0.998025 + 0.0628102i \(0.0200063\pi\)
\(450\) 13.4515 + 6.63759i 0.634109 + 0.312899i
\(451\) 29.4479 + 3.09510i 1.38665 + 0.145743i
\(452\) 0.261923 + 0.290895i 0.0123198 + 0.0136825i
\(453\) −18.4677 13.3336i −0.867687 0.626469i
\(454\) 1.79128 + 17.0429i 0.0840690 + 0.799863i
\(455\) −4.02846 + 1.68492i −0.188857 + 0.0789902i
\(456\) 2.76142 1.60530i 0.129315 0.0751751i
\(457\) −2.53622 1.84267i −0.118639 0.0861964i 0.526883 0.849938i \(-0.323360\pi\)
−0.645523 + 0.763741i \(0.723360\pi\)
\(458\) 3.98271 8.94531i 0.186100 0.417987i
\(459\) −12.4452 + 14.0728i −0.580893 + 0.656863i
\(460\) 1.25650 + 15.2920i 0.0585848 + 0.712992i
\(461\) 9.76449 7.09432i 0.454778 0.330415i −0.336702 0.941611i \(-0.609311\pi\)
0.791479 + 0.611196i \(0.209311\pi\)
\(462\) −1.62764 4.95903i −0.0757247 0.230715i
\(463\) −9.84759 30.3078i −0.457656 1.40852i −0.867988 0.496585i \(-0.834587\pi\)
0.410331 0.911936i \(-0.365413\pi\)
\(464\) 4.87320 0.226233
\(465\) −20.3123 7.23959i −0.941959 0.335728i
\(466\) −2.25856 −0.104626
\(467\) 8.17212 + 25.1512i 0.378161 + 1.16386i 0.941321 + 0.337512i \(0.109585\pi\)
−0.563161 + 0.826347i \(0.690415\pi\)
\(468\) 6.81879 3.08475i 0.315199 0.142593i
\(469\) 0.885270 0.643186i 0.0408780 0.0296996i
\(470\) −20.1484 + 1.65554i −0.929375 + 0.0763645i
\(471\) 31.0142 22.6747i 1.42906 1.04479i
\(472\) 1.94846 4.37632i 0.0896853 0.201436i
\(473\) −27.8340 20.2226i −1.27981 0.929835i
\(474\) 12.7096 + 21.8629i 0.583769 + 1.00420i
\(475\) 4.96855 7.76749i 0.227973 0.356397i
\(476\) 0.295827 + 2.81461i 0.0135592 + 0.129007i
\(477\) −21.2321 12.0902i −0.972149 0.553571i
\(478\) −4.10267 4.55647i −0.187652 0.208408i
\(479\) −29.3408 3.08384i −1.34062 0.140904i −0.593090 0.805136i \(-0.702092\pi\)
−0.747526 + 0.664232i \(0.768759\pi\)
\(480\) −3.56858 + 1.50508i −0.162882 + 0.0686972i
\(481\) 4.05981 12.4948i 0.185112 0.569715i
\(482\) −20.3573 2.13964i −0.927252 0.0974581i
\(483\) 6.93233 + 6.20459i 0.315432 + 0.282318i
\(484\) 2.55539 2.83805i 0.116154 0.129002i
\(485\) −2.50801 2.91610i −0.113883 0.132413i
\(486\) −14.7521 + 5.03747i −0.669168 + 0.228504i
\(487\) −20.8142 + 9.26710i −0.943183 + 0.419932i −0.819943 0.572445i \(-0.805995\pi\)
−0.123240 + 0.992377i \(0.539328\pi\)
\(488\) 2.57117 3.53891i 0.116391 0.160199i
\(489\) −11.4393 + 35.5668i −0.517302 + 1.60838i
\(490\) −6.10427 + 12.9121i −0.275763 + 0.583309i
\(491\) 4.32920 7.49839i 0.195374 0.338398i −0.751649 0.659563i \(-0.770741\pi\)
0.947023 + 0.321166i \(0.104075\pi\)
\(492\) −8.94409 9.87408i −0.403231 0.445158i
\(493\) 3.66314 + 17.2337i 0.164980 + 0.776168i
\(494\) −1.42165 4.37538i −0.0639629 0.196858i
\(495\) 18.8980 + 17.5988i 0.849404 + 0.791007i
\(496\) 4.84521 2.74298i 0.217556 0.123163i
\(497\) −5.39408 −0.241957
\(498\) 11.7535 5.27501i 0.526686 0.236379i
\(499\) −1.51322 7.11912i −0.0677408 0.318696i 0.931210 0.364482i \(-0.118754\pi\)
−0.998951 + 0.0457865i \(0.985421\pi\)
\(500\) −7.17284 + 8.57615i −0.320779 + 0.383537i
\(501\) −9.32825 4.11994i −0.416755 0.184065i
\(502\) −0.976362 1.69111i −0.0435772 0.0754779i
\(503\) 3.19290 + 1.42157i 0.142364 + 0.0633847i 0.476682 0.879076i \(-0.341839\pi\)
−0.334318 + 0.942460i \(0.608506\pi\)
\(504\) −0.942360 + 2.15099i −0.0419760 + 0.0958126i
\(505\) 18.9393 31.1464i 0.842787 1.38599i
\(506\) −5.49197 + 25.8377i −0.244148 + 1.14862i
\(507\) 2.47451 + 11.4734i 0.109897 + 0.509552i
\(508\) −11.5042 + 12.7767i −0.510418 + 0.566876i
\(509\) −4.73025 5.25347i −0.209665 0.232856i 0.629136 0.777296i \(-0.283409\pi\)
−0.838800 + 0.544440i \(0.816742\pi\)
\(510\) −8.00508 11.4887i −0.354471 0.508726i
\(511\) 6.22657 + 2.02313i 0.275447 + 0.0894982i
\(512\) 0.309017 0.951057i 0.0136568 0.0420312i
\(513\) 2.07601 + 9.35479i 0.0916580 + 0.413024i
\(514\) 12.7457 + 14.1555i 0.562187 + 0.624372i
\(515\) −0.505911 + 3.94777i −0.0222931 + 0.173960i
\(516\) 3.26357 + 15.1320i 0.143671 + 0.666149i
\(517\) −34.0431 7.23609i −1.49722 0.318243i
\(518\) 1.67673 + 3.76599i 0.0736712 + 0.165468i
\(519\) 29.1961 + 16.7406i 1.28157 + 0.734830i
\(520\) 1.03545 + 5.48137i 0.0454074 + 0.240374i
\(521\) −4.92342 + 2.84254i −0.215699 + 0.124534i −0.603957 0.797017i \(-0.706410\pi\)
0.388258 + 0.921551i \(0.373077\pi\)
\(522\) −4.43475 + 13.9308i −0.194104 + 0.609732i
\(523\) −25.1992 + 18.3083i −1.10189 + 0.800567i −0.981367 0.192144i \(-0.938456\pi\)
−0.120519 + 0.992711i \(0.538456\pi\)
\(524\) 1.43410 + 6.74689i 0.0626488 + 0.294739i
\(525\) 0.421574 + 6.76601i 0.0183990 + 0.295293i
\(526\) 0.893636i 0.0389644i
\(527\) 13.3425 + 15.0729i 0.581207 + 0.656585i
\(528\) −6.62897 + 0.716713i −0.288489 + 0.0311909i
\(529\) −7.44259 22.9059i −0.323591 0.995910i
\(530\) 12.4903 13.2531i 0.542543 0.575678i
\(531\) 10.7372 + 9.55254i 0.465954 + 0.414545i
\(532\) 1.25016 + 0.721780i 0.0542013 + 0.0312931i
\(533\) −16.6180 + 9.59443i −0.719807 + 0.415581i
\(534\) −20.3670 6.55060i −0.881366 0.283472i
\(535\) −0.392373 + 17.2545i −0.0169638 + 0.745979i
\(536\) −0.568575 1.27704i −0.0245587 0.0551598i
\(537\) 32.0350 + 3.27052i 1.38241 + 0.141133i
\(538\) 2.22357 + 21.1558i 0.0958649 + 0.912093i
\(539\) −16.4526 + 18.2724i −0.708662 + 0.787049i
\(540\) −1.05499 11.5710i −0.0453993 0.497935i
\(541\) −3.77416 + 35.9087i −0.162264 + 1.54384i 0.545937 + 0.837826i \(0.316174\pi\)
−0.708201 + 0.706011i \(0.750493\pi\)
\(542\) −6.99614 2.27318i −0.300510 0.0976415i
\(543\) 30.6710 + 6.42384i 1.31622 + 0.275673i
\(544\) 3.59563 + 0.377916i 0.154161 + 0.0162030i
\(545\) −1.25563 + 5.31058i −0.0537854 + 0.227480i
\(546\) 2.74231 + 1.97995i 0.117360 + 0.0847339i
\(547\) −22.0406 + 2.31656i −0.942387 + 0.0990489i −0.563246 0.826290i \(-0.690447\pi\)
−0.379142 + 0.925339i \(0.623781\pi\)
\(548\) −2.74736 + 12.9253i −0.117362 + 0.552143i
\(549\) 7.77665 + 10.5706i 0.331899 + 0.451141i
\(550\) −16.0699 + 10.5940i −0.685223 + 0.451729i
\(551\) 8.20987 + 3.65527i 0.349752 + 0.155720i
\(552\) 9.59434 7.01447i 0.408362 0.298556i
\(553\) −5.71451 + 9.89782i −0.243006 + 0.420898i
\(554\) −11.0940 + 8.06025i −0.471338 + 0.342447i
\(555\) −16.2609 12.3123i −0.690237 0.522627i
\(556\) −11.6813 + 3.79550i −0.495400 + 0.160965i
\(557\) 44.4864i 1.88495i 0.334277 + 0.942475i \(0.391508\pi\)
−0.334277 + 0.942475i \(0.608492\pi\)
\(558\) 3.43192 + 16.3469i 0.145285 + 0.692020i
\(559\) 22.2960 0.943019
\(560\) −1.39232 1.06077i −0.0588362 0.0448255i
\(561\) −7.51755 22.9041i −0.317391 0.967014i
\(562\) −10.4549 14.3900i −0.441014 0.607004i
\(563\) −7.38343 + 12.7885i −0.311174 + 0.538970i −0.978617 0.205692i \(-0.934056\pi\)
0.667443 + 0.744661i \(0.267389\pi\)
\(564\) 9.24211 + 12.6413i 0.389163 + 0.532294i
\(565\) −0.162470 0.860069i −0.00683516 0.0361834i
\(566\) −0.0828241 + 0.113998i −0.00348136 + 0.00479168i
\(567\) −5.29133 4.65133i −0.222215 0.195338i
\(568\) −1.43269 + 6.74029i −0.0601144 + 0.282816i
\(569\) −0.852745 8.11333i −0.0357489 0.340128i −0.997748 0.0670754i \(-0.978633\pi\)
0.961999 0.273053i \(-0.0880335\pi\)
\(570\) −7.14089 0.141095i −0.299099 0.00590983i
\(571\) −7.09575 + 6.38904i −0.296948 + 0.267373i −0.804114 0.594475i \(-0.797360\pi\)
0.507166 + 0.861848i \(0.330693\pi\)
\(572\) −1.00383 + 9.55083i −0.0419724 + 0.399340i
\(573\) 19.2796 + 4.03798i 0.805415 + 0.168689i
\(574\) 1.86062 5.72639i 0.0776606 0.239015i
\(575\) 15.3651 30.6762i 0.640770 1.27929i
\(576\) 2.43752 + 1.74886i 0.101563 + 0.0728691i
\(577\) 6.76488 + 6.09113i 0.281626 + 0.253577i 0.797822 0.602894i \(-0.205986\pi\)
−0.516196 + 0.856471i \(0.672652\pi\)
\(578\) −0.410653 3.90710i −0.0170809 0.162514i
\(579\) −0.933198 + 9.14075i −0.0387824 + 0.379877i
\(580\) −9.31061 5.66154i −0.386602 0.235083i
\(581\) 4.71037 + 3.42228i 0.195419 + 0.141980i
\(582\) −0.912207 + 2.83622i −0.0378122 + 0.117565i
\(583\) 27.1516 15.6760i 1.12451 0.649233i
\(584\) 4.18186 7.24319i 0.173046 0.299725i
\(585\) −16.6116 2.02823i −0.686804 0.0838568i
\(586\) −10.2804 + 2.18516i −0.424679 + 0.0902683i
\(587\) 40.8665 13.2783i 1.68674 0.548055i 0.700539 0.713614i \(-0.252943\pi\)
0.986200 + 0.165559i \(0.0529429\pi\)
\(588\) 10.9989 1.18919i 0.453588 0.0490412i
\(589\) 10.2201 0.986815i 0.421114 0.0406610i
\(590\) −8.80696 + 6.09761i −0.362577 + 0.251035i
\(591\) 31.0882 13.9525i 1.27880 0.573929i
\(592\) 5.15122 1.09493i 0.211714 0.0450012i
\(593\) −2.35043 + 1.70768i −0.0965204 + 0.0701262i −0.634999 0.772513i \(-0.718999\pi\)
0.538478 + 0.842639i \(0.318999\pi\)
\(594\) 3.98373 19.6021i 0.163454 0.804284i
\(595\) 2.70473 5.72120i 0.110883 0.234546i
\(596\) −1.34639 + 3.02405i −0.0551505 + 0.123870i
\(597\) 7.35467 12.8268i 0.301007 0.524966i
\(598\) −6.96259 15.6382i −0.284722 0.639495i
\(599\) 4.27371 20.1062i 0.174619 0.821519i −0.800412 0.599451i \(-0.795386\pi\)
0.975031 0.222068i \(-0.0712809\pi\)
\(600\) 8.56658 + 1.27030i 0.349729 + 0.0518596i
\(601\) −14.7161 13.2504i −0.600280 0.540495i 0.311989 0.950086i \(-0.399005\pi\)
−0.912269 + 0.409591i \(0.865671\pi\)
\(602\) −5.19906 + 4.68126i −0.211898 + 0.190794i
\(603\) 4.16803 0.463211i 0.169735 0.0188634i
\(604\) −12.5073 4.06386i −0.508914 0.165356i
\(605\) −8.17943 + 2.45353i −0.332541 + 0.0997501i
\(606\) −28.2359 + 0.0841484i −1.14701 + 0.00341830i
\(607\) −9.79427 + 8.81880i −0.397537 + 0.357944i −0.843520 0.537097i \(-0.819521\pi\)
0.445983 + 0.895041i \(0.352854\pi\)
\(608\) 1.23396 1.37046i 0.0500438 0.0555793i
\(609\) −6.45871 + 1.39297i −0.261720 + 0.0564460i
\(610\) −9.02380 + 3.77424i −0.365363 + 0.152814i
\(611\) 20.6046 9.17375i 0.833572 0.371130i
\(612\) −4.35245 + 9.93471i −0.175938 + 0.401587i
\(613\) −10.3904 4.62612i −0.419665 0.186847i 0.186029 0.982544i \(-0.440438\pi\)
−0.605695 + 0.795697i \(0.707105\pi\)
\(614\) 21.2278 12.2559i 0.856685 0.494607i
\(615\) 5.61692 + 29.2561i 0.226496 + 1.17972i
\(616\) −1.77121 2.43787i −0.0713642 0.0982244i
\(617\) −10.1305 + 2.15330i −0.407837 + 0.0866884i −0.407262 0.913311i \(-0.633516\pi\)
−0.000575013 1.00000i \(0.500183\pi\)
\(618\) 2.81266 1.26233i 0.113142 0.0507785i
\(619\) 29.4042i 1.18185i 0.806725 + 0.590927i \(0.201238\pi\)
−0.806725 + 0.590927i \(0.798762\pi\)
\(620\) −12.4438 0.388358i −0.499757 0.0155968i
\(621\) 11.3208 + 33.8102i 0.454287 + 1.35676i
\(622\) 14.6849 4.77141i 0.588810 0.191316i
\(623\) −2.01031 9.45778i −0.0805415 0.378918i
\(624\) 3.20245 2.90083i 0.128201 0.116126i
\(625\) 23.6677 8.05218i 0.946710 0.322087i
\(626\) −1.60459 2.77923i −0.0641322 0.111080i
\(627\) −11.7054 3.76478i −0.467468 0.150351i
\(628\) 13.0378 17.9450i 0.520265 0.716083i
\(629\) 7.74426 + 17.3939i 0.308784 + 0.693540i
\(630\) 4.29940 3.01481i 0.171292 0.120113i
\(631\) −14.7230 + 1.54745i −0.586114 + 0.0616031i −0.392944 0.919562i \(-0.628543\pi\)
−0.193170 + 0.981165i \(0.561877\pi\)
\(632\) 10.8502 + 9.76960i 0.431599 + 0.388614i
\(633\) 30.1683 + 27.0013i 1.19908 + 1.07321i
\(634\) 2.39031 22.7423i 0.0949313 0.903211i
\(635\) 36.8233 11.0456i 1.46129 0.438333i
\(636\) −13.8068 2.89175i −0.547477 0.114666i
\(637\) 1.66558 15.8470i 0.0659928 0.627879i
\(638\) −12.5526 13.9411i −0.496963 0.551933i
\(639\) −17.9643 10.2294i −0.710656 0.404669i
\(640\) −1.69531 + 1.45806i −0.0670130 + 0.0576347i
\(641\) 38.6514 + 8.21562i 1.52664 + 0.324497i 0.893330 0.449401i \(-0.148362\pi\)
0.633310 + 0.773898i \(0.281696\pi\)
\(642\) 11.5577 6.71886i 0.456147 0.265172i
\(643\) 21.5000 + 15.6207i 0.847877 + 0.616019i 0.924560 0.381037i \(-0.124433\pi\)
−0.0766827 + 0.997056i \(0.524433\pi\)
\(644\) 4.90697 + 2.18472i 0.193362 + 0.0860902i
\(645\) 11.3446 32.7023i 0.446694 1.28765i
\(646\) 5.77408 + 3.33367i 0.227178 + 0.131161i
\(647\) −6.34056 8.72703i −0.249273 0.343095i 0.665983 0.745966i \(-0.268012\pi\)
−0.915256 + 0.402872i \(0.868012\pi\)
\(648\) −7.21758 + 5.37649i −0.283533 + 0.211208i
\(649\) −17.5386 + 5.69863i −0.688449 + 0.223691i
\(650\) 4.38979 11.6755i 0.172182 0.457951i
\(651\) −5.63755 + 5.02038i −0.220953 + 0.196764i
\(652\) 21.5704i 0.844764i
\(653\) −10.1638 31.2810i −0.397740 1.22412i −0.926807 0.375539i \(-0.877458\pi\)
0.529066 0.848581i \(-0.322542\pi\)
\(654\) 4.01618 1.31818i 0.157045 0.0515450i
\(655\) 5.09839 14.5565i 0.199211 0.568770i
\(656\) −6.66134 3.84593i −0.260082 0.150158i
\(657\) 16.9001 + 18.5460i 0.659335 + 0.723546i
\(658\) −2.87854 + 6.46531i −0.112217 + 0.252044i
\(659\) 15.0703 20.7425i 0.587055 0.808012i −0.407391 0.913254i \(-0.633562\pi\)
0.994447 + 0.105241i \(0.0335615\pi\)
\(660\) 13.4978 + 6.33201i 0.525401 + 0.246473i
\(661\) −34.6032 7.35513i −1.34591 0.286081i −0.522067 0.852904i \(-0.674839\pi\)
−0.823840 + 0.566823i \(0.808172\pi\)
\(662\) 30.6188 3.21817i 1.19003 0.125078i
\(663\) 12.6658 + 9.14473i 0.491901 + 0.355152i
\(664\) 5.52749 4.97697i 0.214508 0.193144i
\(665\) −1.54998 2.83141i −0.0601056 0.109797i
\(666\) −1.55776 + 15.7219i −0.0603618 + 0.609212i
\(667\) 31.8025 + 10.3332i 1.23140 + 0.400105i
\(668\) −5.85531 0.615417i −0.226549 0.0238112i
\(669\) 17.1210 + 15.3237i 0.661937 + 0.592449i
\(670\) −0.397323 + 3.10043i −0.0153499 + 0.119780i
\(671\) −16.7469 + 1.76017i −0.646508 + 0.0679507i
\(672\) −0.137703 + 1.34881i −0.00531202 + 0.0520317i
\(673\) −11.7929 + 5.25052i −0.454582 + 0.202393i −0.621238 0.783622i \(-0.713370\pi\)
0.166656 + 0.986015i \(0.446703\pi\)
\(674\) −11.9138 8.65590i −0.458903 0.333413i
\(675\) −11.4272 + 23.3328i −0.439832 + 0.898080i
\(676\) 3.38824 + 5.86861i 0.130317 + 0.225716i
\(677\) −13.9447 8.05096i −0.535937 0.309424i 0.207494 0.978236i \(-0.433469\pi\)
−0.743431 + 0.668813i \(0.766803\pi\)
\(678\) −0.502490 + 0.455163i −0.0192980 + 0.0174804i
\(679\) −1.31705 + 0.279947i −0.0505437 + 0.0107434i
\(680\) −6.43066 4.89933i −0.246605 0.187881i
\(681\) −29.5098 + 3.19055i −1.13082 + 0.122262i
\(682\) −20.3275 6.79553i −0.778382 0.260214i
\(683\) 9.93673 0.380218 0.190109 0.981763i \(-0.439116\pi\)
0.190109 + 0.981763i \(0.439116\pi\)
\(684\) 2.79470 + 4.77462i 0.106858 + 0.182562i
\(685\) 20.2653 21.5030i 0.774297 0.821587i
\(686\) 6.15961 + 8.47797i 0.235175 + 0.323691i
\(687\) 15.5142 + 6.85205i 0.591904 + 0.261422i
\(688\) 4.46867 + 7.73997i 0.170367 + 0.295083i
\(689\) −8.26394 + 18.5611i −0.314831 + 0.707122i
\(690\) −26.4799 + 2.25525i −1.00807 + 0.0858561i
\(691\) −45.3059 + 20.1715i −1.72352 + 0.767359i −0.726759 + 0.686893i \(0.758974\pi\)
−0.996757 + 0.0804657i \(0.974359\pi\)
\(692\) 19.0061 + 4.03988i 0.722504 + 0.153573i
\(693\) 8.58085 2.84474i 0.325959 0.108063i
\(694\) 2.33985 + 2.10681i 0.0888195 + 0.0799734i
\(695\) 26.7276 + 6.31946i 1.01383 + 0.239711i
\(696\) 0.0251546 + 8.44060i 0.000953482 + 0.319940i
\(697\) 8.59358 26.4483i 0.325505 1.00180i
\(698\) −4.91943 + 15.1404i −0.186203 + 0.573074i
\(699\) −0.0116583 3.91192i −0.000440956 0.147962i
\(700\) 1.42776 + 3.64422i 0.0539642 + 0.137739i
\(701\) 11.6824 + 10.5189i 0.441239 + 0.397293i 0.859584 0.510995i \(-0.170723\pi\)
−0.418345 + 0.908288i \(0.637390\pi\)
\(702\) 5.37812 + 11.7945i 0.202984 + 0.445155i
\(703\) 9.49952 + 2.01919i 0.358281 + 0.0761550i
\(704\) −3.51673 + 1.56575i −0.132542 + 0.0590114i
\(705\) −2.97147 34.8893i −0.111912 1.31401i
\(706\) 8.32475 18.6977i 0.313306 0.703697i
\(707\) −6.38053 11.0514i −0.239964 0.415631i
\(708\) 7.59003 + 3.35223i 0.285251 + 0.125985i
\(709\) −14.5758 20.0618i −0.547404 0.753437i 0.442253 0.896890i \(-0.354179\pi\)
−0.989657 + 0.143453i \(0.954179\pi\)
\(710\) 10.5679 11.2134i 0.396607 0.420830i
\(711\) −37.8018 + 22.1264i −1.41768 + 0.829803i
\(712\) −12.3521 −0.462915
\(713\) 37.4361 7.62676i 1.40199 0.285624i
\(714\) −4.87350 + 0.526914i −0.182386 + 0.0197193i
\(715\) 13.0138 17.0813i 0.486687 0.638806i
\(716\) 18.1853 3.86540i 0.679615 0.144457i
\(717\) 7.87083 7.12952i 0.293942 0.266257i
\(718\) 11.6498 + 6.72603i 0.434768 + 0.251013i
\(719\) −1.59815 2.76807i −0.0596008 0.103232i 0.834685 0.550727i \(-0.185649\pi\)
−0.894286 + 0.447495i \(0.852316\pi\)
\(720\) −2.62529 6.17316i −0.0978386 0.230060i
\(721\) 1.12721 + 0.818967i 0.0419795 + 0.0304999i
\(722\) −14.2506 + 6.34476i −0.530351 + 0.236128i
\(723\) 3.60087 35.2708i 0.133918 1.31174i
\(724\) 17.9930 1.89114i 0.668705 0.0702837i
\(725\) 11.2112 + 21.6336i 0.416373 + 0.803451i
\(726\) 4.92882 + 4.41140i 0.182926 + 0.163723i
\(727\) −23.7674 2.49805i −0.881484 0.0926477i −0.347039 0.937851i \(-0.612813\pi\)
−0.534445 + 0.845203i \(0.679479\pi\)
\(728\) 1.85724 + 0.603453i 0.0688338 + 0.0223655i
\(729\) −8.80126 25.5252i −0.325973 0.945379i
\(730\) −16.4047 + 8.98029i −0.607164 + 0.332375i
\(731\) −24.0128 + 21.6212i −0.888145 + 0.799689i
\(732\) 6.14281 + 4.43511i 0.227045 + 0.163926i
\(733\) −27.8461 + 2.92674i −1.02852 + 0.108102i −0.603728 0.797190i \(-0.706319\pi\)
−0.424790 + 0.905292i \(0.639652\pi\)
\(734\) −25.5916 5.43966i −0.944603 0.200782i
\(735\) −22.3958 10.5062i −0.826083 0.387527i
\(736\) 4.03328 5.55134i 0.148669 0.204625i
\(737\) −2.18876 + 4.91602i −0.0806238 + 0.181084i
\(738\) 17.0562 15.5425i 0.627846 0.572128i
\(739\) 33.7575 + 19.4899i 1.24179 + 0.716947i 0.969458 0.245257i \(-0.0788725\pi\)
0.272330 + 0.962204i \(0.412206\pi\)
\(740\) −11.1138 3.89260i −0.408553 0.143095i
\(741\) 7.57101 2.48494i 0.278128 0.0912865i
\(742\) −1.97007 6.06325i −0.0723235 0.222589i
\(743\) 33.1603i 1.21653i −0.793733 0.608266i \(-0.791865\pi\)
0.793733 0.608266i \(-0.208135\pi\)
\(744\) 4.77597 + 8.37796i 0.175095 + 0.307151i
\(745\) 6.08564 4.21347i 0.222961 0.154370i
\(746\) −5.86547 + 1.90581i −0.214750 + 0.0697765i
\(747\) 9.19722 + 20.3303i 0.336509 + 0.743847i
\(748\) −8.18066 11.2597i −0.299115 0.411696i
\(749\) 5.23244 + 3.02095i 0.191189 + 0.110383i
\(750\) −14.8913 12.3794i −0.543753 0.452032i
\(751\) −23.8898 10.6364i −0.871752 0.388129i −0.0784213 0.996920i \(-0.524988\pi\)
−0.793330 + 0.608792i \(0.791655\pi\)
\(752\) 7.31431 + 5.31416i 0.266726 + 0.193787i
\(753\) 2.92403 1.69983i 0.106558 0.0619453i
\(754\) 11.8915 + 2.52762i 0.433063 + 0.0920503i
\(755\) 19.1748 + 22.2949i 0.697843 + 0.811394i
\(756\) −3.73047 1.62110i −0.135676 0.0589590i
\(757\) 9.91663 + 11.0135i 0.360426 + 0.400294i 0.895898 0.444259i \(-0.146533\pi\)
−0.535472 + 0.844553i \(0.679866\pi\)
\(758\) 2.67436 25.4448i 0.0971370 0.924197i
\(759\) −44.7803 9.37896i −1.62542 0.340435i
\(760\) −3.94973 + 1.18477i −0.143272 + 0.0429763i
\(761\) −2.76057 + 26.2651i −0.100071 + 0.952110i 0.823146 + 0.567830i \(0.192217\pi\)
−0.923217 + 0.384280i \(0.874450\pi\)
\(762\) −22.1893 19.8599i −0.803832 0.719447i
\(763\) 1.41966 + 1.27827i 0.0513953 + 0.0462765i
\(764\) 11.3103 1.18876i 0.409192 0.0430078i
\(765\) 19.8575 13.9244i 0.717951 0.503440i
\(766\) −0.467907 1.05094i −0.0169062 0.0379719i
\(767\) 7.02450 9.66839i 0.253640 0.349106i
\(768\) 1.64887 + 0.530322i 0.0594983 + 0.0191363i
\(769\) −21.5871 37.3900i −0.778451 1.34832i −0.932834 0.360306i \(-0.882672\pi\)
0.154383 0.988011i \(-0.450661\pi\)
\(770\) 0.551793 + 6.71547i 0.0198853 + 0.242009i
\(771\) −24.4521 + 22.1491i −0.880621 + 0.797680i
\(772\) 1.10294 + 5.18892i 0.0396957 + 0.186753i
\(773\) −1.21802 + 0.395759i −0.0438092 + 0.0142345i −0.330840 0.943687i \(-0.607332\pi\)
0.287030 + 0.957921i \(0.407332\pi\)
\(774\) −26.1924 + 5.73075i −0.941468 + 0.205988i
\(775\) 23.3237 + 15.1989i 0.837812 + 0.545959i
\(776\) 1.72010i 0.0617481i
\(777\) −6.51420 + 2.92360i −0.233696 + 0.104884i
\(778\) −22.1130 + 4.70026i −0.792788 + 0.168512i
\(779\) −8.33761 11.4757i −0.298726 0.411161i
\(780\) −9.48862 + 1.82173i −0.339747 + 0.0652286i
\(781\) 22.9728 13.2633i 0.822031 0.474600i
\(782\) 22.6637 + 10.0905i 0.810452 + 0.360837i
\(783\) −24.1516 7.60928i −0.863106 0.271933i
\(784\) 5.83504 2.59793i 0.208394 0.0927831i
\(785\) −45.7576 + 19.1383i −1.63316 + 0.683075i
\(786\) −11.6785 + 2.51874i −0.416558 + 0.0898406i
\(787\) −24.1316 + 26.8009i −0.860199 + 0.955348i −0.999390 0.0349176i \(-0.988883\pi\)
0.139191 + 0.990266i \(0.455550\pi\)
\(788\) 14.6203 13.1642i 0.520827 0.468954i
\(789\) −1.54782 + 0.00461279i −0.0551037 + 0.000164220i
\(790\) −9.38015 31.2710i −0.333731 1.11257i
\(791\) −0.291415 0.0946864i −0.0103615 0.00336666i
\(792\) −1.27560 11.4780i −0.0453263 0.407852i
\(793\) 8.10967 7.30198i 0.287983 0.259301i
\(794\) −0.816461 0.735145i −0.0289751 0.0260893i
\(795\) 23.0194 + 21.5653i 0.816415 + 0.764842i
\(796\) 1.77485 8.35000i 0.0629078 0.295958i
\(797\) 1.08225 + 2.43076i 0.0383351 + 0.0861020i 0.931698 0.363234i \(-0.118327\pi\)
−0.893363 + 0.449336i \(0.851661\pi\)
\(798\) −1.24370 + 2.16906i −0.0440265 + 0.0767837i
\(799\) −13.2951 + 29.8612i −0.470345 + 1.05641i
\(800\) 4.93294 0.816165i 0.174406 0.0288558i
\(801\) 11.2408 35.3103i 0.397174 1.24763i
\(802\) 12.6060 9.15877i 0.445132 0.323407i
\(803\) −31.4929 + 6.69402i −1.11136 + 0.236227i
\(804\) 2.20896 0.991389i 0.0779039 0.0349636i
\(805\) −6.83698 9.87484i −0.240972 0.348042i
\(806\) 13.2459 4.18027i 0.466567 0.147244i
\(807\) −36.6314 + 3.96052i −1.28948 + 0.139417i
\(808\) −15.5042 + 5.03763i −0.545436 + 0.177223i
\(809\) 49.3593 10.4916i 1.73538 0.368866i 0.771712 0.635972i \(-0.219400\pi\)
0.963667 + 0.267105i \(0.0860672\pi\)
\(810\) 20.0359 1.88701i 0.703991 0.0663027i
\(811\) 20.6104 35.6983i 0.723729 1.25354i −0.235766 0.971810i \(-0.575760\pi\)
0.959495 0.281725i \(-0.0909067\pi\)
\(812\) −3.30361 + 1.90734i −0.115934 + 0.0669344i
\(813\) 3.90114 12.1293i 0.136819 0.425395i
\(814\) −16.4011 11.9161i −0.574858 0.417659i
\(815\) 25.0599 41.2119i 0.877810 1.44359i
\(816\) −0.636007 + 6.22974i −0.0222647 + 0.218084i
\(817\) 1.72280 + 16.3913i 0.0602731 + 0.573460i
\(818\) 15.4038 + 13.8696i 0.538580 + 0.484940i
\(819\) −3.41520 + 4.76002i −0.119337 + 0.166329i
\(820\) 8.25890 + 15.0869i 0.288413 + 0.526857i
\(821\) −1.45987 + 4.49303i −0.0509500 + 0.156808i −0.973294 0.229561i \(-0.926271\pi\)
0.922344 + 0.386369i \(0.126271\pi\)
\(822\) −22.4014 4.69183i −0.781339 0.163646i
\(823\) 5.19092 49.3883i 0.180944 1.72157i −0.407649 0.913139i \(-0.633651\pi\)
0.588593 0.808429i \(-0.299682\pi\)
\(824\) 1.32275 1.19101i 0.0460802 0.0414908i
\(825\) −18.4322 27.7791i −0.641726 0.967144i
\(826\) 0.391973 + 3.72938i 0.0136385 + 0.129762i
\(827\) 8.14966 38.3412i 0.283392 1.33325i −0.574113 0.818776i \(-0.694653\pi\)
0.857505 0.514476i \(-0.172014\pi\)
\(828\) 12.1989 + 16.5816i 0.423941 + 0.576250i
\(829\) −26.2787 + 36.1696i −0.912698 + 1.25622i 0.0535388 + 0.998566i \(0.482950\pi\)
−0.966237 + 0.257655i \(0.917050\pi\)
\(830\) −16.3428 + 3.08720i −0.567266 + 0.107158i
\(831\) −14.0180 19.1736i −0.486278 0.665127i
\(832\) 1.24735 2.16047i 0.0432440 0.0749009i
\(833\) 13.5735 + 18.6824i 0.470295 + 0.647306i
\(834\) −6.63427 20.2130i −0.229726 0.699919i
\(835\) 10.4720 + 7.97832i 0.362399 + 0.276101i
\(836\) −7.09906 −0.245526
\(837\) −28.2959 + 6.02861i −0.978048 + 0.208379i
\(838\) 0.572876i 0.0197897i
\(839\) 22.0197 7.15464i 0.760205 0.247006i 0.0968386 0.995300i \(-0.469127\pi\)
0.663367 + 0.748294i \(0.269127\pi\)
\(840\) 1.83010 2.41703i 0.0631446 0.0833954i
\(841\) 4.24888 3.08699i 0.146513 0.106448i
\(842\) −19.7806 + 34.2611i −0.681686 + 1.18071i
\(843\) 24.8701 18.1826i 0.856571 0.626244i
\(844\) 21.3543 + 9.50756i 0.735046 + 0.327264i
\(845\) 0.344488 15.1488i 0.0118507 0.521134i
\(846\) −21.8475 + 16.0730i −0.751134 + 0.552601i
\(847\) −0.621540 + 2.92412i −0.0213564 + 0.100474i
\(848\) −8.09973 + 0.851316i −0.278146 + 0.0292343i
\(849\) −0.197876 0.142866i −0.00679109 0.00490316i
\(850\) 6.59436 + 16.8315i 0.226185 + 0.577315i
\(851\) 35.9385 + 3.77729i 1.23196 + 0.129484i
\(852\) −11.6819 2.44669i −0.400214 0.0838223i
\(853\) 35.9515 + 11.6813i 1.23096 + 0.399962i 0.851060 0.525068i \(-0.175960\pi\)
0.379895 + 0.925030i \(0.375960\pi\)
\(854\) −0.357923 + 3.40541i −0.0122479 + 0.116531i
\(855\) 0.207523 12.3691i 0.00709714 0.423013i
\(856\) 5.16466 5.73593i 0.176524 0.196050i
\(857\) 4.47897 + 42.6145i 0.152999 + 1.45568i 0.754230 + 0.656610i \(0.228010\pi\)
−0.601232 + 0.799075i \(0.705323\pi\)
\(858\) −16.5476 1.68938i −0.564927 0.0576746i
\(859\) −10.5701 23.7408i −0.360647 0.810025i −0.999182 0.0404332i \(-0.987126\pi\)
0.638536 0.769592i \(-0.279540\pi\)
\(860\) 0.454336 19.9793i 0.0154927 0.681290i
\(861\) 9.92795 + 3.19311i 0.338344 + 0.108821i
\(862\) 21.5628 12.4493i 0.734432 0.424025i
\(863\) −27.6159 15.9441i −0.940057 0.542742i −0.0500789 0.998745i \(-0.515947\pi\)
−0.889978 + 0.456003i \(0.849281\pi\)
\(864\) −3.01652 + 4.23091i −0.102624 + 0.143939i
\(865\) −31.6192 29.7992i −1.07508 1.01320i
\(866\) 0.0207225 + 0.0637774i 0.000704181 + 0.00216725i
\(867\) 6.76515 0.731436i 0.229756 0.0248409i
\(868\) −2.21105 + 3.75588i −0.0750478 + 0.127483i
\(869\) 56.2050i 1.90662i
\(870\) 9.75797 16.1556i 0.330826 0.547726i
\(871\) −0.725056 3.41112i −0.0245676 0.115581i
\(872\) 1.97436 1.43446i 0.0668603 0.0485769i
\(873\) −4.91716 1.56534i −0.166421 0.0529788i
\(874\) 10.9588 6.32705i 0.370686 0.214016i
\(875\) 1.50591 8.62128i 0.0509091 0.291453i
\(876\) 12.5671 + 7.20577i 0.424603 + 0.243460i
\(877\) −16.7766 37.6809i −0.566506 1.27239i −0.938859 0.344302i \(-0.888116\pi\)
0.372353 0.928091i \(-0.378551\pi\)
\(878\) −8.73219 1.85609i −0.294697 0.0626398i
\(879\) −3.83786 17.7948i −0.129448 0.600204i
\(880\) 8.53802 + 1.09415i 0.287816 + 0.0368839i
\(881\) 37.1411 + 41.2494i 1.25132 + 1.38973i 0.889151 + 0.457614i \(0.151296\pi\)
0.362166 + 0.932114i \(0.382037\pi\)
\(882\) 2.11650 + 19.0445i 0.0712661 + 0.641261i
\(883\) 7.28052 22.4071i 0.245009 0.754060i −0.750626 0.660727i \(-0.770248\pi\)
0.995635 0.0933328i \(-0.0297521\pi\)
\(884\) 8.57798 + 2.78715i 0.288509 + 0.0937421i
\(885\) −10.6068 15.2226i −0.356543 0.511701i
\(886\) 5.42118 + 6.02084i 0.182128 + 0.202274i
\(887\) −23.3701 + 25.9551i −0.784690 + 0.871486i −0.994335 0.106291i \(-0.966102\pi\)
0.209645 + 0.977778i \(0.432769\pi\)
\(888\) 1.92305 + 8.91649i 0.0645333 + 0.299218i
\(889\) 2.79814 13.1642i 0.0938465 0.441513i
\(890\) 23.5996 + 14.3503i 0.791062 + 0.481024i
\(891\) 33.9722 + 6.79880i 1.13811 + 0.227768i
\(892\) 12.1189 + 5.39569i 0.405772 + 0.180661i
\(893\) 8.33638 + 14.4390i 0.278966 + 0.483184i
\(894\) −5.24474 2.31640i −0.175410 0.0774721i
\(895\) −39.2350 13.7420i −1.31148 0.459344i
\(896\) 0.162750 + 0.765680i 0.00543711 + 0.0255796i
\(897\) 27.0502 12.1402i 0.903179 0.405351i
\(898\) 10.5385 0.351674
\(899\) −11.2453 + 24.6928i −0.375051 + 0.823551i
\(900\) −2.15599 + 14.8442i −0.0718663 + 0.494808i
\(901\) −9.09911 28.0042i −0.303135 0.932955i
\(902\) 6.15629 + 28.9631i 0.204982 + 0.964365i
\(903\) −8.13498 8.98084i −0.270715 0.298864i
\(904\) −0.195719 + 0.338995i −0.00650951 + 0.0112748i
\(905\) −36.5740 17.2906i −1.21576 0.574758i
\(906\) 6.97422 21.6841i 0.231703 0.720407i
\(907\) −3.89277 + 5.35793i −0.129257 + 0.177907i −0.868740 0.495268i \(-0.835070\pi\)
0.739483 + 0.673175i \(0.235070\pi\)
\(908\) −15.6552 + 6.97016i −0.519537 + 0.231313i
\(909\) −0.291497 48.9054i −0.00966836 1.62209i
\(910\) −2.84731 3.31062i −0.0943875 0.109746i
\(911\) −31.9866 + 35.5247i −1.05976 + 1.17699i −0.0760742 + 0.997102i \(0.524239\pi\)
−0.983688 + 0.179883i \(0.942428\pi\)
\(912\) 2.38006 + 2.13020i 0.0788116 + 0.0705381i
\(913\) −28.4759 2.99294i −0.942415 0.0990518i
\(914\) 0.968749 2.98150i 0.0320434 0.0986193i
\(915\) −6.58372 15.6101i −0.217651 0.516055i
\(916\) 9.73822 + 1.02353i 0.321760 + 0.0338183i
\(917\) −3.61288 4.01251i −0.119308 0.132505i
\(918\) −17.2298 7.48736i −0.568669 0.247120i
\(919\) −3.01896 28.7235i −0.0995863 0.947500i −0.924227 0.381843i \(-0.875289\pi\)
0.824641 0.565657i \(-0.191377\pi\)
\(920\) −14.1553 + 5.92049i −0.466685 + 0.195193i
\(921\) 21.3373 + 36.7042i 0.703088 + 1.20945i
\(922\) 9.76449 + 7.09432i 0.321576 + 0.233639i
\(923\) −6.99206 + 15.7044i −0.230146 + 0.516917i
\(924\) 4.21335 3.08040i 0.138609 0.101338i
\(925\) 16.7115 + 20.3488i 0.549471 + 0.669065i
\(926\) 25.7813 18.7312i 0.847227 0.615547i
\(927\) 2.20093 + 4.86513i 0.0722881 + 0.159792i
\(928\) 1.50590 + 4.63469i 0.0494337 + 0.152141i
\(929\) −47.4534 −1.55690 −0.778448 0.627709i \(-0.783993\pi\)
−0.778448 + 0.627709i \(0.783993\pi\)
\(930\) 0.608420 21.5553i 0.0199509 0.706825i
\(931\) 11.7789 0.386038
\(932\) −0.697933 2.14802i −0.0228616 0.0703606i
\(933\) 8.34009 + 25.4102i 0.273042 + 0.831894i
\(934\) −21.3949 + 15.5443i −0.700062 + 0.508625i
\(935\) 2.54855 + 31.0166i 0.0833467 + 1.01435i
\(936\) 5.04090 + 5.53182i 0.164767 + 0.180813i
\(937\) 21.0658 47.3147i 0.688191 1.54570i −0.143004 0.989722i \(-0.545676\pi\)
0.831195 0.555981i \(-0.187657\pi\)
\(938\) 0.885270 + 0.643186i 0.0289051 + 0.0210008i
\(939\) 4.80546 2.79356i 0.156820 0.0911644i
\(940\) −7.80070 18.6506i −0.254431 0.608317i
\(941\) 2.46551 + 23.4577i 0.0803732 + 0.764700i 0.958273 + 0.285855i \(0.0922776\pi\)
−0.877900 + 0.478845i \(0.841056\pi\)
\(942\) 31.1488 + 22.4894i 1.01488 + 0.732744i
\(943\) −35.3169 39.2233i −1.15008 1.27729i
\(944\) 4.76424 + 0.500741i 0.155063 + 0.0162977i
\(945\) 5.24398 + 7.43118i 0.170587 + 0.241736i
\(946\) 10.6316 32.7208i 0.345664 1.06385i
\(947\) 28.9661 + 3.04446i 0.941271 + 0.0989316i 0.562719 0.826648i \(-0.309755\pi\)
0.378552 + 0.925580i \(0.376422\pi\)
\(948\) −16.8654 + 18.8435i −0.547761 + 0.612009i
\(949\) 13.9614 15.5057i 0.453205 0.503335i
\(950\) 8.92269 + 2.32508i 0.289490 + 0.0754357i
\(951\) 39.4030 + 4.02273i 1.27773 + 0.130446i
\(952\) −2.58544 + 1.15111i −0.0837945 + 0.0373077i
\(953\) −6.72177 + 9.25172i −0.217739 + 0.299693i −0.903888 0.427769i \(-0.859300\pi\)
0.686149 + 0.727461i \(0.259300\pi\)
\(954\) 4.93738 23.9290i 0.159853 0.774729i
\(955\) −22.9902 10.8687i −0.743945 0.351704i
\(956\) 3.06567 5.30990i 0.0991509 0.171734i
\(957\) 24.0818 21.8136i 0.778454 0.705135i
\(958\) −6.13390 28.8577i −0.198177 0.932351i
\(959\) −3.19641 9.83754i −0.103218 0.317671i
\(960\) −2.53417 2.92882i −0.0817899 0.0945273i
\(961\) 2.71815 + 30.8806i 0.0876823 + 0.996148i
\(962\) 13.1378 0.423581
\(963\) 11.6970 + 19.9838i 0.376931 + 0.643968i
\(964\) −4.25584 20.0222i −0.137071 0.644871i
\(965\) 3.92109 11.1952i 0.126224 0.360386i
\(966\) −3.75871 + 8.51036i −0.120934 + 0.273816i
\(967\) −12.4673 21.5940i −0.400921 0.694416i 0.592916 0.805264i \(-0.297976\pi\)
−0.993837 + 0.110849i \(0.964643\pi\)
\(968\) 3.48881 + 1.55332i 0.112135 + 0.0499255i
\(969\) −5.74425 + 10.0182i −0.184532 + 0.321830i
\(970\) 1.99836 3.28638i 0.0641636 0.105519i
\(971\) −8.94143 + 42.0661i −0.286944 + 1.34997i 0.564462 + 0.825459i \(0.309084\pi\)
−0.851406 + 0.524507i \(0.824250\pi\)
\(972\) −9.34956 12.4734i −0.299887 0.400084i
\(973\) 6.43340 7.14502i 0.206245 0.229059i
\(974\) −15.2455 16.9318i −0.488497 0.542531i
\(975\) 20.2451 + 7.54304i 0.648364 + 0.241571i
\(976\) 4.16024 + 1.35174i 0.133166 + 0.0432682i
\(977\) 9.32407 28.6965i 0.298303 0.918083i −0.683788 0.729680i \(-0.739669\pi\)
0.982092 0.188403i \(-0.0603311\pi\)
\(978\) −37.3609 + 0.111343i −1.19467 + 0.00356035i
\(979\) 31.8172 + 35.3366i 1.01688 + 1.12936i
\(980\) −14.1665 1.81544i −0.452531 0.0579922i
\(981\) 2.30388 + 6.94940i 0.0735572 + 0.221877i
\(982\) 8.46919 + 1.80018i 0.270263 + 0.0574461i
\(983\) −13.7310 30.8402i −0.437950 0.983651i −0.988827 0.149065i \(-0.952374\pi\)
0.550878 0.834586i \(-0.314293\pi\)
\(984\) 6.62693 11.5576i 0.211259 0.368442i
\(985\) −43.2269 + 8.16570i −1.37732 + 0.260181i
\(986\) −15.2583 + 8.80937i −0.485923 + 0.280548i
\(987\) −11.2131 4.95238i −0.356915 0.157636i
\(988\) 3.72192 2.70413i 0.118410 0.0860299i
\(989\) 12.7505 + 59.9864i 0.405442 + 1.90746i
\(990\) −10.8976 + 23.4114i −0.346350 + 0.744064i
\(991\) 27.1870i 0.863622i −0.901964 0.431811i \(-0.857875\pi\)
0.901964 0.431811i \(-0.142125\pi\)
\(992\) 4.10598 + 3.76044i 0.130365 + 0.119394i
\(993\) 5.73205 + 53.0165i 0.181901 + 1.68243i
\(994\) −1.66686 5.13007i −0.0528696 0.162716i
\(995\) −13.0918 + 13.8913i −0.415037 + 0.440385i
\(996\) 8.64886 + 9.54815i 0.274050 + 0.302545i
\(997\) 36.2786 + 20.9455i 1.14896 + 0.663350i 0.948633 0.316380i \(-0.102467\pi\)
0.200323 + 0.979730i \(0.435801\pi\)
\(998\) 6.30308 3.63908i 0.199520 0.115193i
\(999\) −27.2391 2.61695i −0.861807 0.0827965i
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 930.2.bo.a.179.4 256
3.2 odd 2 930.2.bo.b.179.1 yes 256
5.4 even 2 930.2.bo.b.179.29 yes 256
15.14 odd 2 inner 930.2.bo.a.179.32 yes 256
31.22 odd 30 inner 930.2.bo.a.239.32 yes 256
93.53 even 30 930.2.bo.b.239.29 yes 256
155.84 odd 30 930.2.bo.b.239.1 yes 256
465.239 even 30 inner 930.2.bo.a.239.4 yes 256
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bo.a.179.4 256 1.1 even 1 trivial
930.2.bo.a.179.32 yes 256 15.14 odd 2 inner
930.2.bo.a.239.4 yes 256 465.239 even 30 inner
930.2.bo.a.239.32 yes 256 31.22 odd 30 inner
930.2.bo.b.179.1 yes 256 3.2 odd 2
930.2.bo.b.179.29 yes 256 5.4 even 2
930.2.bo.b.239.1 yes 256 155.84 odd 30
930.2.bo.b.239.29 yes 256 93.53 even 30