Properties

Label 418.2.u.b.93.7
Level $418$
Weight $2$
Character 418.93
Analytic conductor $3.338$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [418,2,Mod(5,418)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(418, base_ring=CyclotomicField(90))
 
chi = DirichletCharacter(H, H._module([36, 80]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("418.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.u (of order \(45\), degree \(24\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(11\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 93.7
Character \(\chi\) \(=\) 418.93
Dual form 418.2.u.b.9.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.990268 - 0.139173i) q^{2} +(0.161628 + 0.648256i) q^{3} +(0.961262 - 0.275637i) q^{4} +(0.0866869 + 2.48239i) q^{5} +(0.250275 + 0.619453i) q^{6} +(-0.941853 - 0.419340i) q^{7} +(0.913545 - 0.406737i) q^{8} +(2.25473 - 1.19886i) q^{9} +O(q^{10})\) \(q+(0.990268 - 0.139173i) q^{2} +(0.161628 + 0.648256i) q^{3} +(0.961262 - 0.275637i) q^{4} +(0.0866869 + 2.48239i) q^{5} +(0.250275 + 0.619453i) q^{6} +(-0.941853 - 0.419340i) q^{7} +(0.913545 - 0.406737i) q^{8} +(2.25473 - 1.19886i) q^{9} +(0.431325 + 2.44617i) q^{10} +(-3.31068 + 0.198423i) q^{11} +(0.334051 + 0.578593i) q^{12} +(5.56316 + 3.47625i) q^{13} +(-0.991048 - 0.284178i) q^{14} +(-1.59521 + 0.457420i) q^{15} +(0.848048 - 0.529919i) q^{16} +(4.37522 + 2.32634i) q^{17} +(2.06594 - 1.50099i) q^{18} +(-3.79622 + 2.14213i) q^{19} +(0.767568 + 2.36233i) q^{20} +(0.119610 - 0.678340i) q^{21} +(-3.25085 + 0.657250i) q^{22} +(-4.50639 - 1.64019i) q^{23} +(0.411325 + 0.526471i) q^{24} +(-1.16692 + 0.0815988i) q^{25} +(5.99282 + 2.66817i) q^{26} +(2.48274 + 2.75736i) q^{27} +(-1.02095 - 0.143486i) q^{28} +(-6.20440 - 5.99152i) q^{29} +(-1.51603 + 0.674979i) q^{30} +(0.188993 - 0.209898i) q^{31} +(0.766044 - 0.642788i) q^{32} +(-0.663729 - 2.11410i) q^{33} +(4.65640 + 1.69479i) q^{34} +(0.959319 - 2.37440i) q^{35} +(1.83693 - 1.77391i) q^{36} +(-1.81699 + 1.32012i) q^{37} +(-3.46115 + 2.64962i) q^{38} +(-1.35433 + 4.16821i) q^{39} +(1.08887 + 2.23252i) q^{40} +(-1.22842 - 4.92692i) q^{41} +(0.0240389 - 0.688385i) q^{42} +(8.37808 - 3.04937i) q^{43} +(-3.12774 + 1.10328i) q^{44} +(3.17150 + 5.49319i) q^{45} +(-4.69081 - 0.997062i) q^{46} +(4.97140 - 10.1929i) q^{47} +(0.480592 + 0.464103i) q^{48} +(-3.97267 - 4.41210i) q^{49} +(-1.14420 + 0.243208i) q^{50} +(-0.800908 + 3.21227i) q^{51} +(6.30583 + 1.80817i) q^{52} +(0.380022 - 10.8824i) q^{53} +(2.84233 + 2.38500i) q^{54} +(-0.779555 - 8.20120i) q^{55} -1.03099 q^{56} +(-2.00223 - 2.11469i) q^{57} +(-6.97788 - 5.06972i) q^{58} +(2.41639 + 4.95433i) q^{59} +(-1.40734 + 0.879401i) q^{60} +(-2.07907 + 2.66108i) q^{61} +(0.157942 - 0.234158i) q^{62} +(-2.62636 + 0.183653i) q^{63} +(0.669131 - 0.743145i) q^{64} +(-8.14714 + 14.1113i) q^{65} +(-0.951496 - 2.00115i) q^{66} +(0.179305 + 1.01689i) q^{67} +(4.84696 + 1.03025i) q^{68} +(0.334904 - 3.18640i) q^{69} +(0.619530 - 2.48480i) q^{70} +(-0.349823 - 10.0176i) q^{71} +(1.57218 - 2.01230i) q^{72} +(-1.91177 - 0.133684i) q^{73} +(-1.61558 + 1.56015i) q^{74} +(-0.241504 - 0.743273i) q^{75} +(-3.05871 + 3.10553i) q^{76} +(3.20139 + 1.20142i) q^{77} +(-0.761051 + 4.31613i) q^{78} +(-5.12677 + 12.6892i) q^{79} +(1.38898 + 2.05925i) q^{80} +(2.89774 - 4.29607i) q^{81} +(-1.90216 - 4.70801i) q^{82} +(-12.4536 + 2.64709i) q^{83} +(-0.0719996 - 0.685031i) q^{84} +(-5.39561 + 11.0626i) q^{85} +(7.87215 - 4.18570i) q^{86} +(2.88123 - 4.99044i) q^{87} +(-2.94375 + 1.52784i) q^{88} +(9.28812 - 7.79365i) q^{89} +(3.90513 + 4.99834i) q^{90} +(-3.78195 - 5.60697i) q^{91} +(-4.78392 - 0.334524i) q^{92} +(0.166615 + 0.0885905i) q^{93} +(3.50445 - 10.7856i) q^{94} +(-5.64668 - 9.23799i) q^{95} +(0.540506 + 0.392700i) q^{96} +(-10.4805 + 1.47294i) q^{97} +(-4.54806 - 3.81627i) q^{98} +(-7.22682 + 4.41644i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9} + 3 q^{11} - 6 q^{13} + 18 q^{14} - 39 q^{15} - 3 q^{17} - 78 q^{18} - 45 q^{19} - 24 q^{20} + 48 q^{21} + 6 q^{23} - 9 q^{24} + 30 q^{25} + 18 q^{26} - 24 q^{27} + 6 q^{28} - 3 q^{31} - 63 q^{33} - 36 q^{34} + 42 q^{35} - 9 q^{36} + 60 q^{37} - 3 q^{38} + 36 q^{39} + 39 q^{41} + 6 q^{42} - 60 q^{43} + 60 q^{44} - 108 q^{45} - 12 q^{46} - 24 q^{47} - 12 q^{48} + 6 q^{49} + 18 q^{50} + 96 q^{51} + 3 q^{52} - 117 q^{53} + 54 q^{54} + 102 q^{55} - 96 q^{57} - 60 q^{58} - 141 q^{59} + 36 q^{60} + 24 q^{61} - 27 q^{62} - 81 q^{63} + 33 q^{64} - 102 q^{65} + 72 q^{66} + 102 q^{67} - 21 q^{68} - 6 q^{69} - 33 q^{70} - 66 q^{71} - 12 q^{72} + 36 q^{73} + 18 q^{74} + 6 q^{76} - 174 q^{77} + 18 q^{78} + 36 q^{79} + 60 q^{81} - 36 q^{82} - 24 q^{83} + 48 q^{84} + 174 q^{85} - 21 q^{86} + 12 q^{87} + 3 q^{88} + 30 q^{89} - 48 q^{90} - 18 q^{91} + 18 q^{92} - 123 q^{93} - 120 q^{94} - 18 q^{95} - 24 q^{97} - 84 q^{98} - 141 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.990268 0.139173i 0.700225 0.0984102i
\(3\) 0.161628 + 0.648256i 0.0933162 + 0.374271i 0.998737 0.0502444i \(-0.0160000\pi\)
−0.905421 + 0.424515i \(0.860444\pi\)
\(4\) 0.961262 0.275637i 0.480631 0.137819i
\(5\) 0.0866869 + 2.48239i 0.0387676 + 1.11016i 0.850449 + 0.526057i \(0.176330\pi\)
−0.811681 + 0.584100i \(0.801447\pi\)
\(6\) 0.250275 + 0.619453i 0.102174 + 0.252891i
\(7\) −0.941853 0.419340i −0.355987 0.158496i 0.220948 0.975286i \(-0.429085\pi\)
−0.576935 + 0.816790i \(0.695752\pi\)
\(8\) 0.913545 0.406737i 0.322987 0.143803i
\(9\) 2.25473 1.19886i 0.751577 0.399620i
\(10\) 0.431325 + 2.44617i 0.136397 + 0.773545i
\(11\) −3.31068 + 0.198423i −0.998209 + 0.0598266i
\(12\) 0.334051 + 0.578593i 0.0964322 + 0.167025i
\(13\) 5.56316 + 3.47625i 1.54294 + 0.964137i 0.991526 + 0.129906i \(0.0414676\pi\)
0.551415 + 0.834231i \(0.314088\pi\)
\(14\) −0.991048 0.284178i −0.264869 0.0759499i
\(15\) −1.59521 + 0.457420i −0.411882 + 0.118105i
\(16\) 0.848048 0.529919i 0.212012 0.132480i
\(17\) 4.37522 + 2.32634i 1.06115 + 0.564221i 0.905829 0.423643i \(-0.139249\pi\)
0.155317 + 0.987865i \(0.450360\pi\)
\(18\) 2.06594 1.50099i 0.486946 0.353787i
\(19\) −3.79622 + 2.14213i −0.870912 + 0.491439i
\(20\) 0.767568 + 2.36233i 0.171633 + 0.528233i
\(21\) 0.119610 0.678340i 0.0261010 0.148026i
\(22\) −3.25085 + 0.657250i −0.693083 + 0.140126i
\(23\) −4.50639 1.64019i −0.939648 0.342004i −0.173621 0.984813i \(-0.555547\pi\)
−0.766027 + 0.642809i \(0.777769\pi\)
\(24\) 0.411325 + 0.526471i 0.0839613 + 0.107466i
\(25\) −1.16692 + 0.0815988i −0.233383 + 0.0163198i
\(26\) 5.99282 + 2.66817i 1.17529 + 0.523272i
\(27\) 2.48274 + 2.75736i 0.477804 + 0.530655i
\(28\) −1.02095 0.143486i −0.192942 0.0271162i
\(29\) −6.20440 5.99152i −1.15213 1.11260i −0.992095 0.125485i \(-0.959951\pi\)
−0.160032 0.987112i \(-0.551160\pi\)
\(30\) −1.51603 + 0.674979i −0.276788 + 0.123234i
\(31\) 0.188993 0.209898i 0.0339442 0.0376988i −0.725934 0.687765i \(-0.758592\pi\)
0.759878 + 0.650066i \(0.225259\pi\)
\(32\) 0.766044 0.642788i 0.135419 0.113630i
\(33\) −0.663729 2.11410i −0.115540 0.368018i
\(34\) 4.65640 + 1.69479i 0.798566 + 0.290654i
\(35\) 0.959319 2.37440i 0.162154 0.401346i
\(36\) 1.83693 1.77391i 0.306156 0.295651i
\(37\) −1.81699 + 1.32012i −0.298711 + 0.217026i −0.727037 0.686598i \(-0.759103\pi\)
0.428326 + 0.903624i \(0.359103\pi\)
\(38\) −3.46115 + 2.64962i −0.561472 + 0.429824i
\(39\) −1.35433 + 4.16821i −0.216867 + 0.667448i
\(40\) 1.08887 + 2.23252i 0.172166 + 0.352992i
\(41\) −1.22842 4.92692i −0.191847 0.769456i −0.986686 0.162636i \(-0.948000\pi\)
0.794839 0.606820i \(-0.207555\pi\)
\(42\) 0.0240389 0.688385i 0.00370929 0.106220i
\(43\) 8.37808 3.04937i 1.27765 0.465025i 0.387993 0.921663i \(-0.373169\pi\)
0.889653 + 0.456638i \(0.150946\pi\)
\(44\) −3.12774 + 1.10328i −0.471525 + 0.166326i
\(45\) 3.17150 + 5.49319i 0.472779 + 0.818877i
\(46\) −4.69081 0.997062i −0.691622 0.147009i
\(47\) 4.97140 10.1929i 0.725154 1.48679i −0.142594 0.989781i \(-0.545544\pi\)
0.867748 0.497004i \(-0.165567\pi\)
\(48\) 0.480592 + 0.464103i 0.0693675 + 0.0669874i
\(49\) −3.97267 4.41210i −0.567525 0.630300i
\(50\) −1.14420 + 0.243208i −0.161815 + 0.0343948i
\(51\) −0.800908 + 3.21227i −0.112150 + 0.449807i
\(52\) 6.30583 + 1.80817i 0.874461 + 0.250748i
\(53\) 0.380022 10.8824i 0.0522001 1.49481i −0.637349 0.770576i \(-0.719969\pi\)
0.689549 0.724239i \(-0.257809\pi\)
\(54\) 2.84233 + 2.38500i 0.386792 + 0.324557i
\(55\) −0.779555 8.20120i −0.105115 1.10585i
\(56\) −1.03099 −0.137771
\(57\) −2.00223 2.11469i −0.265201 0.280098i
\(58\) −6.97788 5.06972i −0.916240 0.665687i
\(59\) 2.41639 + 4.95433i 0.314587 + 0.644999i 0.996236 0.0866801i \(-0.0276258\pi\)
−0.681649 + 0.731679i \(0.738737\pi\)
\(60\) −1.40734 + 0.879401i −0.181686 + 0.113530i
\(61\) −2.07907 + 2.66108i −0.266197 + 0.340717i −0.902474 0.430744i \(-0.858251\pi\)
0.636277 + 0.771461i \(0.280473\pi\)
\(62\) 0.157942 0.234158i 0.0200586 0.0297381i
\(63\) −2.62636 + 0.183653i −0.330890 + 0.0231381i
\(64\) 0.669131 0.743145i 0.0836413 0.0928931i
\(65\) −8.14714 + 14.1113i −1.01053 + 1.75029i
\(66\) −0.951496 2.00115i −0.117121 0.246325i
\(67\) 0.179305 + 1.01689i 0.0219055 + 0.124233i 0.993800 0.111186i \(-0.0354650\pi\)
−0.971894 + 0.235419i \(0.924354\pi\)
\(68\) 4.84696 + 1.03025i 0.587780 + 0.124936i
\(69\) 0.334904 3.18640i 0.0403177 0.383597i
\(70\) 0.619530 2.48480i 0.0740481 0.296991i
\(71\) −0.349823 10.0176i −0.0415164 1.18887i −0.824143 0.566382i \(-0.808343\pi\)
0.782627 0.622491i \(-0.213879\pi\)
\(72\) 1.57218 2.01230i 0.185283 0.237151i
\(73\) −1.91177 0.133684i −0.223755 0.0156465i −0.0425613 0.999094i \(-0.513552\pi\)
−0.181194 + 0.983447i \(0.557996\pi\)
\(74\) −1.61558 + 1.56015i −0.187807 + 0.181364i
\(75\) −0.241504 0.743273i −0.0278865 0.0858257i
\(76\) −3.05871 + 3.10553i −0.350858 + 0.356229i
\(77\) 3.20139 + 1.20142i 0.364832 + 0.136914i
\(78\) −0.761051 + 4.31613i −0.0861720 + 0.488706i
\(79\) −5.12677 + 12.6892i −0.576807 + 1.42765i 0.303311 + 0.952892i \(0.401908\pi\)
−0.880118 + 0.474756i \(0.842536\pi\)
\(80\) 1.38898 + 2.05925i 0.155293 + 0.230231i
\(81\) 2.89774 4.29607i 0.321971 0.477341i
\(82\) −1.90216 4.70801i −0.210058 0.519913i
\(83\) −12.4536 + 2.64709i −1.36696 + 0.290556i −0.832212 0.554458i \(-0.812926\pi\)
−0.534745 + 0.845014i \(0.679592\pi\)
\(84\) −0.0719996 0.685031i −0.00785580 0.0747430i
\(85\) −5.39561 + 11.0626i −0.585237 + 1.19991i
\(86\) 7.87215 4.18570i 0.848876 0.451356i
\(87\) 2.88123 4.99044i 0.308901 0.535031i
\(88\) −2.94375 + 1.52784i −0.313805 + 0.162869i
\(89\) 9.28812 7.79365i 0.984538 0.826126i −0.000229552 1.00000i \(-0.500073\pi\)
0.984768 + 0.173874i \(0.0556286\pi\)
\(90\) 3.90513 + 4.99834i 0.411637 + 0.526872i
\(91\) −3.78195 5.60697i −0.396456 0.587770i
\(92\) −4.78392 0.334524i −0.498758 0.0348766i
\(93\) 0.166615 + 0.0885905i 0.0172771 + 0.00918641i
\(94\) 3.50445 10.7856i 0.361456 1.11245i
\(95\) −5.64668 9.23799i −0.579338 0.947798i
\(96\) 0.540506 + 0.392700i 0.0551651 + 0.0400798i
\(97\) −10.4805 + 1.47294i −1.06413 + 0.149554i −0.649445 0.760409i \(-0.724999\pi\)
−0.414690 + 0.909963i \(0.636110\pi\)
\(98\) −4.54806 3.81627i −0.459423 0.385502i
\(99\) −7.22682 + 4.41644i −0.726323 + 0.443869i
\(100\) −1.09922 + 0.400084i −0.109922 + 0.0400084i
\(101\) 1.27066 + 0.793995i 0.126435 + 0.0790055i 0.591662 0.806186i \(-0.298472\pi\)
−0.465227 + 0.885191i \(0.654027\pi\)
\(102\) −0.346052 + 3.29247i −0.0342643 + 0.326003i
\(103\) 0.187344 + 1.78246i 0.0184595 + 0.175631i 0.999867 0.0163049i \(-0.00519023\pi\)
−0.981408 + 0.191935i \(0.938524\pi\)
\(104\) 6.49611 + 0.912969i 0.636996 + 0.0895240i
\(105\) 1.69427 + 0.238114i 0.165344 + 0.0232376i
\(106\) −1.13822 10.8294i −0.110553 1.05184i
\(107\) −0.416508 + 3.96281i −0.0402653 + 0.383099i 0.955768 + 0.294121i \(0.0950268\pi\)
−0.996034 + 0.0889781i \(0.971640\pi\)
\(108\) 3.14660 + 1.96621i 0.302781 + 0.189199i
\(109\) 6.88518 2.50600i 0.659480 0.240031i 0.00946826 0.999955i \(-0.496986\pi\)
0.650012 + 0.759924i \(0.274764\pi\)
\(110\) −1.91335 8.01290i −0.182431 0.764000i
\(111\) −1.14945 0.964505i −0.109101 0.0915468i
\(112\) −1.02095 + 0.143486i −0.0964710 + 0.0135581i
\(113\) 0.998084 + 0.725150i 0.0938918 + 0.0682164i 0.633741 0.773546i \(-0.281519\pi\)
−0.539849 + 0.841762i \(0.681519\pi\)
\(114\) −2.27705 1.81546i −0.213265 0.170033i
\(115\) 3.68095 11.3288i 0.343250 1.05642i
\(116\) −7.61554 4.04925i −0.707085 0.375964i
\(117\) 16.7110 + 1.16854i 1.54493 + 0.108032i
\(118\) 3.08238 + 4.56982i 0.283756 + 0.420686i
\(119\) −3.14528 4.02578i −0.288328 0.369043i
\(120\) −1.27125 + 1.06671i −0.116049 + 0.0973764i
\(121\) 10.9213 1.31383i 0.992842 0.119439i
\(122\) −1.68848 + 2.92454i −0.152868 + 0.264775i
\(123\) 2.99536 1.59266i 0.270082 0.143605i
\(124\) 0.123816 0.253861i 0.0111190 0.0227974i
\(125\) 0.994476 + 9.46180i 0.0889486 + 0.846289i
\(126\) −2.57524 + 0.547383i −0.229420 + 0.0487648i
\(127\) −3.31896 8.21471i −0.294510 0.728938i −0.999800 0.0200185i \(-0.993628\pi\)
0.705290 0.708919i \(-0.250817\pi\)
\(128\) 0.559193 0.829038i 0.0494261 0.0732773i
\(129\) 3.33091 + 4.93828i 0.293270 + 0.434791i
\(130\) −6.10394 + 15.1078i −0.535351 + 1.32504i
\(131\) −1.72609 + 9.78917i −0.150810 + 0.855283i 0.811708 + 0.584064i \(0.198538\pi\)
−0.962517 + 0.271220i \(0.912573\pi\)
\(132\) −1.22074 1.84926i −0.106252 0.160957i
\(133\) 4.47376 0.425667i 0.387924 0.0369100i
\(134\) 0.319083 + 0.982036i 0.0275646 + 0.0848350i
\(135\) −6.62962 + 6.40215i −0.570587 + 0.551010i
\(136\) 4.94317 + 0.345660i 0.423873 + 0.0296401i
\(137\) −5.99950 + 7.67901i −0.512572 + 0.656062i −0.972775 0.231752i \(-0.925554\pi\)
0.460203 + 0.887814i \(0.347777\pi\)
\(138\) −0.111816 3.20200i −0.00951843 0.272572i
\(139\) −1.48988 + 5.97559i −0.126370 + 0.506843i 0.873432 + 0.486946i \(0.161889\pi\)
−0.999802 + 0.0198967i \(0.993666\pi\)
\(140\) 0.267684 2.54684i 0.0226234 0.215247i
\(141\) 7.41112 + 1.57528i 0.624129 + 0.132663i
\(142\) −1.74060 9.87145i −0.146068 0.828394i
\(143\) −19.1076 10.4049i −1.59786 0.870101i
\(144\) 1.27682 2.21152i 0.106402 0.184293i
\(145\) 14.3354 15.9211i 1.19049 1.32218i
\(146\) −1.91177 + 0.133684i −0.158219 + 0.0110637i
\(147\) 2.21807 3.28843i 0.182944 0.271225i
\(148\) −1.38273 + 1.76981i −0.113659 + 0.145477i
\(149\) −20.0980 + 12.5586i −1.64649 + 1.02884i −0.696019 + 0.718024i \(0.745047\pi\)
−0.950470 + 0.310816i \(0.899398\pi\)
\(150\) −0.342597 0.702428i −0.0279729 0.0573530i
\(151\) 15.9949 + 11.6210i 1.30165 + 0.945702i 0.999970 0.00770766i \(-0.00245345\pi\)
0.301677 + 0.953410i \(0.402453\pi\)
\(152\) −2.59673 + 3.50100i −0.210623 + 0.283968i
\(153\) 12.6539 1.02301
\(154\) 3.33743 + 0.744179i 0.268938 + 0.0599676i
\(155\) 0.537432 + 0.450959i 0.0431676 + 0.0362219i
\(156\) −0.152955 + 4.38005i −0.0122462 + 0.350684i
\(157\) −19.4513 5.57757i −1.55238 0.445138i −0.613590 0.789625i \(-0.710275\pi\)
−0.938791 + 0.344487i \(0.888053\pi\)
\(158\) −3.31088 + 13.2792i −0.263400 + 1.05644i
\(159\) 7.11602 1.51256i 0.564337 0.119954i
\(160\) 1.66205 + 1.84590i 0.131397 + 0.145931i
\(161\) 3.55656 + 3.43453i 0.280296 + 0.270679i
\(162\) 2.27164 4.65755i 0.178477 0.365932i
\(163\) 17.5128 + 3.72246i 1.37171 + 0.291566i 0.834093 0.551624i \(-0.185992\pi\)
0.537616 + 0.843190i \(0.319325\pi\)
\(164\) −2.53888 4.39746i −0.198253 0.343384i
\(165\) 5.19048 1.83090i 0.404079 0.142535i
\(166\) −11.9640 + 4.35453i −0.928584 + 0.337977i
\(167\) 0.589278 16.8747i 0.0455997 1.30580i −0.733838 0.679324i \(-0.762273\pi\)
0.779438 0.626479i \(-0.215505\pi\)
\(168\) −0.166637 0.668344i −0.0128563 0.0515638i
\(169\) 13.1656 + 26.9935i 1.01274 + 2.07642i
\(170\) −3.80348 + 11.7059i −0.291714 + 0.897803i
\(171\) −5.99133 + 9.38107i −0.458168 + 0.717388i
\(172\) 7.21301 5.24056i 0.549987 0.399589i
\(173\) −9.47337 + 9.14832i −0.720247 + 0.695534i −0.961462 0.274937i \(-0.911343\pi\)
0.241215 + 0.970472i \(0.422454\pi\)
\(174\) 2.15866 5.34286i 0.163647 0.405041i
\(175\) 1.13328 + 0.412481i 0.0856681 + 0.0311806i
\(176\) −2.70247 + 1.92267i −0.203706 + 0.144926i
\(177\) −2.82112 + 2.36720i −0.212048 + 0.177930i
\(178\) 8.11306 9.01046i 0.608099 0.675363i
\(179\) 1.94310 0.865125i 0.145234 0.0646625i −0.332832 0.942986i \(-0.608004\pi\)
0.478067 + 0.878323i \(0.341338\pi\)
\(180\) 4.56277 + 4.40621i 0.340088 + 0.328420i
\(181\) 20.5537 + 2.88863i 1.52774 + 0.214710i 0.852439 0.522827i \(-0.175123\pi\)
0.675306 + 0.737538i \(0.264012\pi\)
\(182\) −4.52548 5.02606i −0.335451 0.372556i
\(183\) −2.06110 0.917661i −0.152361 0.0678354i
\(184\) −4.78392 + 0.334524i −0.352675 + 0.0246615i
\(185\) −3.43456 4.39603i −0.252514 0.323203i
\(186\) 0.177323 + 0.0645401i 0.0130019 + 0.00473231i
\(187\) −14.9466 6.83365i −1.09300 0.499726i
\(188\) 1.96928 11.1683i 0.143624 0.814535i
\(189\) −1.18210 3.63814i −0.0859854 0.264636i
\(190\) −6.87741 8.36222i −0.498940 0.606659i
\(191\) −0.0169063 + 0.0122832i −0.00122330 + 0.000888778i −0.588397 0.808572i \(-0.700241\pi\)
0.587173 + 0.809461i \(0.300241\pi\)
\(192\) 0.589899 + 0.313655i 0.0425723 + 0.0226361i
\(193\) −14.4785 + 9.04720i −1.04219 + 0.651231i −0.939172 0.343448i \(-0.888405\pi\)
−0.103017 + 0.994680i \(0.532849\pi\)
\(194\) −10.1735 + 2.91721i −0.730416 + 0.209443i
\(195\) −10.4645 3.00065i −0.749380 0.214881i
\(196\) −5.03492 3.14617i −0.359637 0.224726i
\(197\) −6.22823 10.7876i −0.443743 0.768585i 0.554221 0.832370i \(-0.313016\pi\)
−0.997964 + 0.0637845i \(0.979683\pi\)
\(198\) −6.54184 + 5.37924i −0.464908 + 0.382286i
\(199\) −3.18271 18.0500i −0.225616 1.27953i −0.861504 0.507751i \(-0.830477\pi\)
0.635888 0.771782i \(-0.280634\pi\)
\(200\) −1.03284 + 0.549172i −0.0730330 + 0.0388323i
\(201\) −0.630223 + 0.280593i −0.0444525 + 0.0197915i
\(202\) 1.36879 + 0.609427i 0.0963081 + 0.0428791i
\(203\) 3.33115 + 8.24488i 0.233801 + 0.578677i
\(204\) 0.115538 + 3.30859i 0.00808931 + 0.231647i
\(205\) 12.1240 3.47651i 0.846780 0.242810i
\(206\) 0.433590 + 1.73904i 0.0302097 + 0.121164i
\(207\) −12.1271 + 1.70435i −0.842889 + 0.118460i
\(208\) 6.55995 0.454851
\(209\) 12.1430 7.84517i 0.839951 0.542662i
\(210\) 1.71092 0.118065
\(211\) 27.2008 3.82283i 1.87258 0.263174i 0.890971 0.454061i \(-0.150025\pi\)
0.981612 + 0.190887i \(0.0611363\pi\)
\(212\) −2.63430 10.5656i −0.180924 0.725648i
\(213\) 6.43745 1.84591i 0.441087 0.126480i
\(214\) 0.139062 + 3.98221i 0.00950606 + 0.272218i
\(215\) 8.29600 + 20.5333i 0.565782 + 1.40036i
\(216\) 3.38962 + 1.50915i 0.230634 + 0.102685i
\(217\) −0.266023 + 0.118441i −0.0180588 + 0.00804030i
\(218\) 6.46940 3.43984i 0.438163 0.232975i
\(219\) −0.222335 1.26092i −0.0150240 0.0852052i
\(220\) −3.00991 7.66863i −0.202928 0.517019i
\(221\) 16.2531 + 28.1511i 1.09330 + 1.89365i
\(222\) −1.27250 0.795146i −0.0854046 0.0533667i
\(223\) 6.27591 + 1.79959i 0.420266 + 0.120509i 0.479104 0.877758i \(-0.340962\pi\)
−0.0588378 + 0.998268i \(0.518739\pi\)
\(224\) −0.991048 + 0.284178i −0.0662172 + 0.0189875i
\(225\) −2.53326 + 1.58296i −0.168884 + 0.105530i
\(226\) 1.08929 + 0.579187i 0.0724586 + 0.0385269i
\(227\) 1.50588 1.09409i 0.0999489 0.0726171i −0.536688 0.843781i \(-0.680325\pi\)
0.636637 + 0.771163i \(0.280325\pi\)
\(228\) −2.50755 1.48089i −0.166067 0.0980740i
\(229\) −2.06650 6.36002i −0.136558 0.420282i 0.859271 0.511520i \(-0.170918\pi\)
−0.995829 + 0.0912382i \(0.970918\pi\)
\(230\) 2.06846 11.7308i 0.136390 0.773508i
\(231\) −0.261392 + 2.26950i −0.0171983 + 0.149322i
\(232\) −8.10497 2.94997i −0.532117 0.193675i
\(233\) 14.6571 + 18.7602i 0.960217 + 1.22902i 0.973401 + 0.229108i \(0.0735810\pi\)
−0.0131842 + 0.999913i \(0.504197\pi\)
\(234\) 16.7110 1.16854i 1.09243 0.0763901i
\(235\) 25.7337 + 11.4574i 1.67868 + 0.747396i
\(236\) 3.68838 + 4.09636i 0.240093 + 0.266651i
\(237\) −9.05449 1.27253i −0.588152 0.0826594i
\(238\) −3.67495 3.54886i −0.238212 0.230039i
\(239\) −10.5077 + 4.67831i −0.679684 + 0.302615i −0.717388 0.696674i \(-0.754662\pi\)
0.0377038 + 0.999289i \(0.487996\pi\)
\(240\) −1.11042 + 1.23325i −0.0716774 + 0.0796058i
\(241\) 1.31142 1.10041i 0.0844760 0.0708837i −0.599572 0.800321i \(-0.704662\pi\)
0.684048 + 0.729437i \(0.260218\pi\)
\(242\) 10.6321 2.82099i 0.683459 0.181340i
\(243\) 13.7132 + 4.99120i 0.879703 + 0.320186i
\(244\) −1.26503 + 3.13107i −0.0809854 + 0.200446i
\(245\) 10.6082 10.2442i 0.677731 0.654477i
\(246\) 2.74455 1.99403i 0.174986 0.127135i
\(247\) −28.5655 1.27958i −1.81758 0.0814176i
\(248\) 0.0872806 0.268622i 0.00554232 0.0170575i
\(249\) −3.72884 7.64526i −0.236306 0.484499i
\(250\) 2.30163 + 9.23132i 0.145568 + 0.583840i
\(251\) −0.0531120 + 1.52093i −0.00335240 + 0.0960002i 0.996561 + 0.0828593i \(0.0264052\pi\)
−0.999914 + 0.0131409i \(0.995817\pi\)
\(252\) −2.47399 + 0.900460i −0.155847 + 0.0567237i
\(253\) 15.2447 + 4.53599i 0.958425 + 0.285175i
\(254\) −4.42993 7.67286i −0.277958 0.481438i
\(255\) −8.04352 1.70970i −0.503705 0.107066i
\(256\) 0.438371 0.898794i 0.0273982 0.0561746i
\(257\) −1.50462 1.45299i −0.0938555 0.0906352i 0.646251 0.763125i \(-0.276336\pi\)
−0.740106 + 0.672490i \(0.765225\pi\)
\(258\) 3.98577 + 4.42665i 0.248143 + 0.275591i
\(259\) 2.26492 0.481423i 0.140735 0.0299142i
\(260\) −3.94194 + 15.8103i −0.244469 + 0.980511i
\(261\) −21.1722 6.07104i −1.31053 0.375788i
\(262\) −0.346907 + 9.93412i −0.0214320 + 0.613732i
\(263\) −6.44538 5.40832i −0.397439 0.333491i 0.422063 0.906566i \(-0.361306\pi\)
−0.819503 + 0.573075i \(0.805750\pi\)
\(264\) −1.46623 1.66136i −0.0902402 0.102250i
\(265\) 27.0473 1.66150
\(266\) 4.37098 1.04415i 0.268002 0.0640210i
\(267\) 6.55351 + 4.76140i 0.401068 + 0.291393i
\(268\) 0.452651 + 0.928071i 0.0276500 + 0.0566910i
\(269\) 0.325508 0.203400i 0.0198466 0.0124015i −0.519960 0.854191i \(-0.674053\pi\)
0.539806 + 0.841789i \(0.318497\pi\)
\(270\) −5.67410 + 7.26251i −0.345315 + 0.441982i
\(271\) −15.7613 + 23.3671i −0.957431 + 1.41945i −0.0502364 + 0.998737i \(0.515997\pi\)
−0.907194 + 0.420712i \(0.861780\pi\)
\(272\) 4.94317 0.345660i 0.299724 0.0209587i
\(273\) 3.02348 3.35792i 0.182989 0.203230i
\(274\) −4.87240 + 8.43925i −0.294352 + 0.509833i
\(275\) 3.84710 0.501690i 0.231989 0.0302531i
\(276\) −0.556360 3.15528i −0.0334889 0.189925i
\(277\) −23.0970 4.90943i −1.38777 0.294979i −0.547343 0.836908i \(-0.684361\pi\)
−0.840424 + 0.541930i \(0.817694\pi\)
\(278\) −0.643741 + 6.12479i −0.0386090 + 0.367340i
\(279\) 0.174490 0.699841i 0.0104464 0.0418984i
\(280\) −0.0893731 2.55931i −0.00534106 0.152948i
\(281\) 8.46156 10.8303i 0.504774 0.646082i −0.466366 0.884592i \(-0.654437\pi\)
0.971140 + 0.238510i \(0.0766591\pi\)
\(282\) 7.55824 + 0.528523i 0.450086 + 0.0314731i
\(283\) 11.7500 11.3468i 0.698464 0.674498i −0.258068 0.966127i \(-0.583086\pi\)
0.956532 + 0.291628i \(0.0941970\pi\)
\(284\) −3.09750 9.53313i −0.183803 0.565687i
\(285\) 5.07592 5.15362i 0.300672 0.305274i
\(286\) −20.3697 7.64437i −1.20449 0.452021i
\(287\) −0.909064 + 5.15556i −0.0536604 + 0.304323i
\(288\) 0.956610 2.36769i 0.0563688 0.139518i
\(289\) 4.22436 + 6.26288i 0.248492 + 0.368405i
\(290\) 11.9801 17.7613i 0.703498 1.04298i
\(291\) −2.64879 6.55599i −0.155275 0.384319i
\(292\) −1.87456 + 0.398449i −0.109700 + 0.0233175i
\(293\) 2.17793 + 20.7216i 0.127236 + 1.21057i 0.852734 + 0.522346i \(0.174943\pi\)
−0.725497 + 0.688225i \(0.758390\pi\)
\(294\) 1.73883 3.56512i 0.101410 0.207922i
\(295\) −12.0891 + 6.42789i −0.703855 + 0.374246i
\(296\) −1.12296 + 1.94502i −0.0652708 + 0.113052i
\(297\) −8.76669 8.63612i −0.508695 0.501119i
\(298\) −18.1545 + 15.2335i −1.05166 + 0.882451i
\(299\) −19.3680 24.7900i −1.12008 1.43364i
\(300\) −0.437022 0.647912i −0.0252315 0.0374072i
\(301\) −9.16965 0.641204i −0.528530 0.0369584i
\(302\) 17.4566 + 9.28183i 1.00451 + 0.534109i
\(303\) −0.309338 + 0.952044i −0.0177710 + 0.0546935i
\(304\) −2.08422 + 3.82832i −0.119538 + 0.219569i
\(305\) −6.78607 4.93037i −0.388569 0.282312i
\(306\) 12.5307 1.76108i 0.716335 0.100674i
\(307\) −0.201529 0.169103i −0.0115019 0.00965123i 0.637019 0.770848i \(-0.280167\pi\)
−0.648520 + 0.761197i \(0.724612\pi\)
\(308\) 3.40852 + 0.272455i 0.194219 + 0.0155246i
\(309\) −1.12521 + 0.409542i −0.0640109 + 0.0232980i
\(310\) 0.594963 + 0.371774i 0.0337917 + 0.0211154i
\(311\) 0.409794 3.89893i 0.0232373 0.221088i −0.976741 0.214425i \(-0.931212\pi\)
0.999978 0.00666331i \(-0.00212101\pi\)
\(312\) 0.458119 + 4.35871i 0.0259359 + 0.246763i
\(313\) −8.36318 1.17537i −0.472715 0.0664357i −0.101207 0.994865i \(-0.532270\pi\)
−0.371508 + 0.928430i \(0.621159\pi\)
\(314\) −20.0382 2.81619i −1.13082 0.158927i
\(315\) −0.683568 6.50372i −0.0385147 0.366443i
\(316\) −1.43055 + 13.6108i −0.0804748 + 0.765666i
\(317\) 11.6933 + 7.30676i 0.656759 + 0.410389i 0.816959 0.576696i \(-0.195658\pi\)
−0.160200 + 0.987085i \(0.551214\pi\)
\(318\) 6.83626 2.48819i 0.383358 0.139531i
\(319\) 21.7297 + 18.6049i 1.21663 + 1.04168i
\(320\) 1.90278 + 1.59662i 0.106369 + 0.0892538i
\(321\) −2.63623 + 0.370498i −0.147140 + 0.0206792i
\(322\) 3.99994 + 2.90613i 0.222908 + 0.161952i
\(323\) −21.5926 + 0.540978i −1.20145 + 0.0301008i
\(324\) 1.60133 4.92837i 0.0889625 0.273798i
\(325\) −6.77540 3.60254i −0.375832 0.199833i
\(326\) 17.8604 + 1.24892i 0.989198 + 0.0691715i
\(327\) 2.73737 + 4.05832i 0.151377 + 0.224425i
\(328\) −3.12618 4.00132i −0.172614 0.220936i
\(329\) −8.95662 + 7.51550i −0.493794 + 0.414343i
\(330\) 4.88516 2.53546i 0.268919 0.139572i
\(331\) −5.22215 + 9.04503i −0.287035 + 0.497160i −0.973101 0.230380i \(-0.926003\pi\)
0.686065 + 0.727540i \(0.259336\pi\)
\(332\) −11.2415 + 5.97721i −0.616957 + 0.328042i
\(333\) −2.51418 + 5.15483i −0.137776 + 0.282483i
\(334\) −1.76496 16.7925i −0.0965744 0.918844i
\(335\) −2.50876 + 0.533254i −0.137068 + 0.0291348i
\(336\) −0.258031 0.638648i −0.0140767 0.0348411i
\(337\) 2.80849 4.16376i 0.152988 0.226814i −0.744750 0.667343i \(-0.767431\pi\)
0.897738 + 0.440529i \(0.145209\pi\)
\(338\) 16.7942 + 24.8985i 0.913486 + 1.35430i
\(339\) −0.308765 + 0.764219i −0.0167698 + 0.0415067i
\(340\) −2.13732 + 12.1213i −0.115912 + 0.657372i
\(341\) −0.584048 + 0.732407i −0.0316280 + 0.0396621i
\(342\) −4.62743 + 10.1236i −0.250223 + 0.547422i
\(343\) 4.12165 + 12.6851i 0.222548 + 0.684933i
\(344\) 6.41347 6.19341i 0.345791 0.333926i
\(345\) 7.93891 + 0.555143i 0.427417 + 0.0298879i
\(346\) −8.10797 + 10.3777i −0.435887 + 0.557910i
\(347\) −0.318294 9.11475i −0.0170869 0.489306i −0.977526 0.210815i \(-0.932388\pi\)
0.960439 0.278490i \(-0.0898340\pi\)
\(348\) 1.39407 5.59129i 0.0747298 0.299725i
\(349\) −0.352079 + 3.34981i −0.0188464 + 0.179311i −0.999896 0.0144472i \(-0.995401\pi\)
0.981049 + 0.193758i \(0.0620678\pi\)
\(350\) 1.17966 + 0.250744i 0.0630555 + 0.0134029i
\(351\) 4.22660 + 23.9702i 0.225599 + 1.27944i
\(352\) −2.40859 + 2.28007i −0.128378 + 0.121528i
\(353\) 6.11187 10.5861i 0.325302 0.563440i −0.656271 0.754525i \(-0.727867\pi\)
0.981573 + 0.191085i \(0.0612007\pi\)
\(354\) −2.46421 + 2.73679i −0.130972 + 0.145459i
\(355\) 24.8373 1.73679i 1.31823 0.0921795i
\(356\) 6.78009 10.0519i 0.359344 0.532749i
\(357\) 2.10137 2.68963i 0.111216 0.142350i
\(358\) 1.80379 1.12713i 0.0953333 0.0595709i
\(359\) −1.03142 2.11473i −0.0544365 0.111611i 0.869842 0.493331i \(-0.164221\pi\)
−0.924278 + 0.381720i \(0.875332\pi\)
\(360\) 5.13159 + 3.72832i 0.270458 + 0.196500i
\(361\) 9.82255 16.2640i 0.516976 0.856000i
\(362\) 20.7557 1.09090
\(363\) 2.61688 + 6.86742i 0.137351 + 0.360446i
\(364\) −5.18093 4.34732i −0.271555 0.227861i
\(365\) 0.166130 4.75734i 0.00869563 0.249010i
\(366\) −2.16876 0.621881i −0.113363 0.0325062i
\(367\) −0.724503 + 2.90582i −0.0378188 + 0.151683i −0.986237 0.165340i \(-0.947128\pi\)
0.948418 + 0.317023i \(0.102683\pi\)
\(368\) −4.69081 + 0.997062i −0.244525 + 0.0519754i
\(369\) −8.67645 9.63617i −0.451678 0.501639i
\(370\) −4.01294 3.87525i −0.208623 0.201465i
\(371\) −4.92136 + 10.0903i −0.255504 + 0.523861i
\(372\) 0.184579 + 0.0392335i 0.00956998 + 0.00203416i
\(373\) −1.99062 3.44785i −0.103070 0.178523i 0.809878 0.586598i \(-0.199533\pi\)
−0.912948 + 0.408076i \(0.866200\pi\)
\(374\) −15.7522 4.68698i −0.814525 0.242358i
\(375\) −5.97294 + 2.17397i −0.308441 + 0.112263i
\(376\) 0.395782 11.3337i 0.0204109 0.584492i
\(377\) −13.6880 54.8998i −0.704970 2.82748i
\(378\) −1.67693 3.43822i −0.0862521 0.176843i
\(379\) 2.99251 9.21000i 0.153715 0.473086i −0.844314 0.535849i \(-0.819991\pi\)
0.998028 + 0.0627638i \(0.0199915\pi\)
\(380\) −7.97428 7.32369i −0.409072 0.375697i
\(381\) 4.78880 3.47927i 0.245338 0.178248i
\(382\) −0.0150323 + 0.0145165i −0.000769120 + 0.000742730i
\(383\) −10.9398 + 27.0770i −0.558999 + 1.38357i 0.337835 + 0.941205i \(0.390305\pi\)
−0.896834 + 0.442367i \(0.854139\pi\)
\(384\) 0.627810 + 0.228504i 0.0320378 + 0.0116608i
\(385\) −2.70487 + 8.05123i −0.137853 + 0.410329i
\(386\) −13.0785 + 10.9742i −0.665679 + 0.558571i
\(387\) 15.2345 16.9197i 0.774415 0.860075i
\(388\) −9.66852 + 4.30470i −0.490845 + 0.218538i
\(389\) −26.0747 25.1800i −1.32204 1.27668i −0.935015 0.354609i \(-0.884614\pi\)
−0.387024 0.922069i \(-0.626497\pi\)
\(390\) −10.7803 1.51507i −0.545881 0.0767186i
\(391\) −15.9008 17.6596i −0.804137 0.893085i
\(392\) −5.42378 2.41482i −0.273942 0.121967i
\(393\) −6.62487 + 0.463256i −0.334181 + 0.0233682i
\(394\) −7.66896 9.81582i −0.386357 0.494514i
\(395\) −31.9440 11.6267i −1.60728 0.585000i
\(396\) −5.72953 + 6.23734i −0.287920 + 0.313438i
\(397\) 0.593928 3.36833i 0.0298084 0.169052i −0.966269 0.257533i \(-0.917090\pi\)
0.996078 + 0.0884815i \(0.0282014\pi\)
\(398\) −5.66381 17.4314i −0.283901 0.873758i
\(399\) 0.999028 + 2.83135i 0.0500140 + 0.141745i
\(400\) −0.946361 + 0.687572i −0.0473181 + 0.0343786i
\(401\) −15.4491 8.21444i −0.771492 0.410209i 0.0365521 0.999332i \(-0.488363\pi\)
−0.808044 + 0.589122i \(0.799474\pi\)
\(402\) −0.585038 + 0.365573i −0.0291791 + 0.0182331i
\(403\) 1.78106 0.510710i 0.0887208 0.0254403i
\(404\) 1.44029 + 0.412996i 0.0716571 + 0.0205473i
\(405\) 10.9157 + 6.82089i 0.542406 + 0.338933i
\(406\) 4.44620 + 7.70104i 0.220661 + 0.382196i
\(407\) 5.75353 4.73103i 0.285192 0.234508i
\(408\) 0.574880 + 3.26031i 0.0284608 + 0.161409i
\(409\) 8.95863 4.76339i 0.442976 0.235534i −0.232973 0.972483i \(-0.574845\pi\)
0.675948 + 0.736949i \(0.263734\pi\)
\(410\) 11.5222 5.13002i 0.569042 0.253354i
\(411\) −5.94766 2.64807i −0.293376 0.130619i
\(412\) 0.671398 + 1.66177i 0.0330774 + 0.0818694i
\(413\) −0.198334 5.67954i −0.00975938 0.279472i
\(414\) −11.7718 + 3.37552i −0.578554 + 0.165898i
\(415\) −7.65066 30.6851i −0.375556 1.50627i
\(416\) 6.49611 0.912969i 0.318498 0.0447620i
\(417\) −4.11452 −0.201489
\(418\) 10.9330 9.45881i 0.534751 0.462645i
\(419\) 10.4393 0.509995 0.254998 0.966942i \(-0.417925\pi\)
0.254998 + 0.966942i \(0.417925\pi\)
\(420\) 1.69427 0.238114i 0.0826720 0.0116188i
\(421\) 0.121547 + 0.487497i 0.00592383 + 0.0237592i 0.973185 0.230024i \(-0.0738805\pi\)
−0.967261 + 0.253783i \(0.918325\pi\)
\(422\) 26.4041 7.57125i 1.28533 0.368563i
\(423\) −1.01069 28.9422i −0.0491412 1.40722i
\(424\) −4.07911 10.0962i −0.198099 0.490312i
\(425\) −5.29534 2.35764i −0.256862 0.114362i
\(426\) 6.11790 2.72386i 0.296413 0.131972i
\(427\) 3.07407 1.63451i 0.148765 0.0790997i
\(428\) 0.691924 + 3.92410i 0.0334454 + 0.189678i
\(429\) 3.65670 14.0684i 0.176547 0.679227i
\(430\) 11.0729 + 19.1789i 0.533985 + 0.924889i
\(431\) −28.0865 17.5504i −1.35288 0.845373i −0.356830 0.934169i \(-0.616143\pi\)
−0.996050 + 0.0887960i \(0.971698\pi\)
\(432\) 3.56666 + 1.02272i 0.171601 + 0.0492058i
\(433\) 15.9018 4.55977i 0.764192 0.219128i 0.129170 0.991623i \(-0.458769\pi\)
0.635022 + 0.772494i \(0.280991\pi\)
\(434\) −0.246950 + 0.154311i −0.0118540 + 0.00740719i
\(435\) 12.6380 + 6.71973i 0.605945 + 0.322186i
\(436\) 5.92771 4.30673i 0.283886 0.206255i
\(437\) 20.6208 3.42675i 0.986424 0.163924i
\(438\) −0.395657 1.21771i −0.0189052 0.0581843i
\(439\) 0.801995 4.54834i 0.0382771 0.217080i −0.959670 0.281130i \(-0.909291\pi\)
0.997947 + 0.0640501i \(0.0204017\pi\)
\(440\) −4.04789 7.17510i −0.192976 0.342059i
\(441\) −14.2468 5.18541i −0.678419 0.246924i
\(442\) 20.0128 + 25.6152i 0.951911 + 1.21839i
\(443\) −2.95399 + 0.206563i −0.140348 + 0.00981411i −0.139758 0.990186i \(-0.544632\pi\)
−0.000590465 1.00000i \(0.500188\pi\)
\(444\) −1.37078 0.610310i −0.0650543 0.0289640i
\(445\) 20.1520 + 22.3811i 0.955298 + 1.06097i
\(446\) 6.46529 + 0.908637i 0.306140 + 0.0430252i
\(447\) −11.3896 10.9988i −0.538709 0.520225i
\(448\) −0.941853 + 0.419340i −0.0444984 + 0.0198120i
\(449\) −12.0364 + 13.3678i −0.568034 + 0.630866i −0.956896 0.290430i \(-0.906202\pi\)
0.388862 + 0.921296i \(0.372868\pi\)
\(450\) −2.28830 + 1.92011i −0.107871 + 0.0905149i
\(451\) 5.04452 + 16.0677i 0.237537 + 0.756600i
\(452\) 1.15930 + 0.421950i 0.0545288 + 0.0198469i
\(453\) −4.94814 + 12.2471i −0.232484 + 0.575418i
\(454\) 1.33896 1.29302i 0.0628405 0.0606843i
\(455\) 13.5908 9.87431i 0.637148 0.462915i
\(456\) −2.68925 1.11749i −0.125936 0.0523312i
\(457\) −6.73441 + 20.7264i −0.315023 + 0.969540i 0.660723 + 0.750630i \(0.270250\pi\)
−0.975745 + 0.218910i \(0.929750\pi\)
\(458\) −2.93153 6.01053i −0.136981 0.280854i
\(459\) 4.44795 + 17.8398i 0.207613 + 0.832689i
\(460\) 0.415716 11.9045i 0.0193829 0.555052i
\(461\) −28.1845 + 10.2583i −1.31268 + 0.477777i −0.901106 0.433598i \(-0.857244\pi\)
−0.411576 + 0.911376i \(0.635021\pi\)
\(462\) 0.0570057 + 2.28379i 0.00265215 + 0.106252i
\(463\) 1.51929 + 2.63149i 0.0706074 + 0.122296i 0.899168 0.437604i \(-0.144173\pi\)
−0.828560 + 0.559900i \(0.810840\pi\)
\(464\) −8.43665 1.79327i −0.391662 0.0832502i
\(465\) −0.205473 + 0.421282i −0.00952857 + 0.0195365i
\(466\) 17.1253 + 16.5378i 0.793316 + 0.766097i
\(467\) −16.5291 18.3574i −0.764874 0.849479i 0.227367 0.973809i \(-0.426988\pi\)
−0.992241 + 0.124331i \(0.960322\pi\)
\(468\) 16.3857 3.48289i 0.757429 0.160996i
\(469\) 0.257543 1.03295i 0.0118922 0.0476971i
\(470\) 27.0778 + 7.76443i 1.24900 + 0.358146i
\(471\) 0.471811 13.5109i 0.0217399 0.622550i
\(472\) 4.22259 + 3.54317i 0.194360 + 0.163088i
\(473\) −27.1321 + 11.7579i −1.24754 + 0.540629i
\(474\) −9.14347 −0.419974
\(475\) 4.25508 2.80946i 0.195236 0.128907i
\(476\) −4.13309 3.00287i −0.189440 0.137636i
\(477\) −12.1897 24.9925i −0.558126 1.14433i
\(478\) −9.75430 + 6.09516i −0.446151 + 0.278786i
\(479\) −5.77448 + 7.39099i −0.263843 + 0.337703i −0.901629 0.432510i \(-0.857628\pi\)
0.637787 + 0.770213i \(0.279850\pi\)
\(480\) −0.927980 + 1.37579i −0.0423563 + 0.0627958i
\(481\) −14.6972 + 1.02773i −0.670137 + 0.0468605i
\(482\) 1.14551 1.27222i 0.0521765 0.0579479i
\(483\) −1.65162 + 2.86068i −0.0751511 + 0.130166i
\(484\) 10.1360 4.27324i 0.460729 0.194238i
\(485\) −4.56493 25.8890i −0.207283 1.17556i
\(486\) 14.2744 + 3.03412i 0.647500 + 0.137630i
\(487\) 0.402445 3.82901i 0.0182365 0.173509i −0.981613 0.190884i \(-0.938864\pi\)
0.999849 + 0.0173755i \(0.00553109\pi\)
\(488\) −0.816961 + 3.27665i −0.0369821 + 0.148327i
\(489\) 0.417458 + 11.9544i 0.0188781 + 0.540599i
\(490\) 9.07921 11.6209i 0.410157 0.524977i
\(491\) −7.02143 0.490986i −0.316873 0.0221579i −0.0895654 0.995981i \(-0.528548\pi\)
−0.227307 + 0.973823i \(0.572992\pi\)
\(492\) 2.44033 2.35660i 0.110018 0.106244i
\(493\) −13.2073 40.6478i −0.594825 1.83068i
\(494\) −28.4656 + 2.70843i −1.28073 + 0.121858i
\(495\) −11.5898 17.5569i −0.520922 0.789125i
\(496\) 0.0490462 0.278155i 0.00220224 0.0124895i
\(497\) −3.87131 + 9.58183i −0.173652 + 0.429804i
\(498\) −4.75657 7.05190i −0.213147 0.316003i
\(499\) −12.7099 + 18.8432i −0.568975 + 0.843540i −0.998219 0.0596486i \(-0.981002\pi\)
0.429245 + 0.903188i \(0.358780\pi\)
\(500\) 3.56398 + 8.82116i 0.159386 + 0.394494i
\(501\) 11.0344 2.34543i 0.492980 0.104786i
\(502\) 0.159077 + 1.51352i 0.00709996 + 0.0675517i
\(503\) −7.76113 + 15.9127i −0.346052 + 0.709511i −0.998846 0.0480239i \(-0.984708\pi\)
0.652794 + 0.757535i \(0.273597\pi\)
\(504\) −2.32460 + 1.23601i −0.103546 + 0.0550563i
\(505\) −1.86085 + 3.22310i −0.0828070 + 0.143426i
\(506\) 15.7276 + 2.37019i 0.699178 + 0.105368i
\(507\) −15.3708 + 12.8976i −0.682639 + 0.572802i
\(508\) −5.45467 6.98166i −0.242012 0.309761i
\(509\) 9.87295 + 14.6372i 0.437611 + 0.648785i 0.981742 0.190215i \(-0.0609186\pi\)
−0.544132 + 0.839000i \(0.683141\pi\)
\(510\) −8.20318 0.573622i −0.363243 0.0254004i
\(511\) 1.74454 + 0.927591i 0.0771741 + 0.0410342i
\(512\) 0.309017 0.951057i 0.0136568 0.0420312i
\(513\) −15.3317 5.14919i −0.676909 0.227342i
\(514\) −1.69219 1.22945i −0.0746394 0.0542287i
\(515\) −4.40851 + 0.619575i −0.194262 + 0.0273018i
\(516\) 4.56305 + 3.82885i 0.200877 + 0.168556i
\(517\) −14.4362 + 34.7319i −0.634905 + 1.52751i
\(518\) 2.17587 0.791953i 0.0956024 0.0347964i
\(519\) −7.46163 4.66254i −0.327529 0.204663i
\(520\) −1.70322 + 16.2050i −0.0746909 + 0.710637i
\(521\) 3.26773 + 31.0904i 0.143162 + 1.36209i 0.796321 + 0.604874i \(0.206776\pi\)
−0.653160 + 0.757220i \(0.726557\pi\)
\(522\) −21.8111 3.06535i −0.954647 0.134167i
\(523\) 28.4612 + 3.99996i 1.24452 + 0.174906i 0.730525 0.682886i \(-0.239276\pi\)
0.513996 + 0.857792i \(0.328165\pi\)
\(524\) 1.03903 + 9.88573i 0.0453903 + 0.431860i
\(525\) −0.0842228 + 0.801326i −0.00367578 + 0.0349727i
\(526\) −7.13535 4.45866i −0.311116 0.194407i
\(527\) 1.31518 0.478687i 0.0572902 0.0208519i
\(528\) −1.68318 1.44114i −0.0732509 0.0627174i
\(529\) −0.00168731 0.00141582i −7.33614e−5 6.15575e-5i
\(530\) 26.7841 3.76426i 1.16343 0.163509i
\(531\) 11.3879 + 8.27377i 0.494191 + 0.359051i
\(532\) 4.18313 1.64231i 0.181362 0.0712033i
\(533\) 10.2933 31.6795i 0.445852 1.37219i
\(534\) 7.15239 + 3.80299i 0.309514 + 0.164572i
\(535\) −9.87333 0.690410i −0.426861 0.0298490i
\(536\) 0.577408 + 0.856043i 0.0249402 + 0.0369754i
\(537\) 0.874884 + 1.11980i 0.0377540 + 0.0483229i
\(538\) 0.294033 0.246723i 0.0126767 0.0106370i
\(539\) 14.0277 + 13.8188i 0.604217 + 0.595218i
\(540\) −4.60813 + 7.98152i −0.198302 + 0.343470i
\(541\) −12.8129 + 6.81272i −0.550868 + 0.292902i −0.721479 0.692437i \(-0.756537\pi\)
0.170610 + 0.985339i \(0.445426\pi\)
\(542\) −12.3558 + 25.3332i −0.530729 + 1.08816i
\(543\) 1.44949 + 13.7910i 0.0622035 + 0.591826i
\(544\) 4.84696 1.03025i 0.207811 0.0441717i
\(545\) 6.81772 + 16.8744i 0.292039 + 0.722822i
\(546\) 2.52673 3.74603i 0.108134 0.160315i
\(547\) −14.0823 20.8778i −0.602114 0.892670i 0.397576 0.917569i \(-0.369851\pi\)
−0.999690 + 0.0248987i \(0.992074\pi\)
\(548\) −3.65047 + 9.03522i −0.155940 + 0.385966i
\(549\) −1.49746 + 8.49254i −0.0639102 + 0.362453i
\(550\) 3.73984 1.03222i 0.159467 0.0440141i
\(551\) 36.3879 + 9.45448i 1.55018 + 0.402774i
\(552\) −0.990075 3.04714i −0.0421404 0.129695i
\(553\) 10.1498 9.80151i 0.431612 0.416803i
\(554\) −23.5555 1.64716i −1.00078 0.0699812i
\(555\) 2.29463 2.93700i 0.0974018 0.124669i
\(556\) 0.214929 + 6.15477i 0.00911504 + 0.261021i
\(557\) −5.20460 + 20.8745i −0.220526 + 0.884481i 0.753390 + 0.657574i \(0.228417\pi\)
−0.973916 + 0.226908i \(0.927138\pi\)
\(558\) 0.0753928 0.717314i 0.00319163 0.0303663i
\(559\) 57.2089 + 12.1601i 2.41968 + 0.514319i
\(560\) −0.444690 2.52196i −0.0187916 0.106572i
\(561\) 2.01417 10.7937i 0.0850382 0.455711i
\(562\) 6.87193 11.9025i 0.289875 0.502078i
\(563\) 22.2563 24.7181i 0.937992 1.04175i −0.0610567 0.998134i \(-0.519447\pi\)
0.999049 0.0436112i \(-0.0138863\pi\)
\(564\) 7.55824 0.528523i 0.318259 0.0222548i
\(565\) −1.71358 + 2.54049i −0.0720910 + 0.106879i
\(566\) 10.0565 12.8717i 0.422704 0.541037i
\(567\) −4.53076 + 2.83113i −0.190274 + 0.118896i
\(568\) −4.39411 9.00927i −0.184373 0.378021i
\(569\) −1.59851 1.16138i −0.0670130 0.0486878i 0.553774 0.832667i \(-0.313187\pi\)
−0.620787 + 0.783979i \(0.713187\pi\)
\(570\) 4.30928 5.80990i 0.180496 0.243350i
\(571\) 44.1325 1.84689 0.923444 0.383733i \(-0.125362\pi\)
0.923444 + 0.383733i \(0.125362\pi\)
\(572\) −21.2354 4.73505i −0.887897 0.197983i
\(573\) −0.0106952 0.00897432i −0.000446798 0.000374908i
\(574\) −0.182702 + 5.23190i −0.00762584 + 0.218375i
\(575\) 5.39242 + 1.54625i 0.224880 + 0.0644832i
\(576\) 0.617781 2.47779i 0.0257409 0.103241i
\(577\) −28.4164 + 6.04008i −1.18299 + 0.251452i −0.757085 0.653317i \(-0.773377\pi\)
−0.425904 + 0.904769i \(0.640044\pi\)
\(578\) 5.05488 + 5.61401i 0.210255 + 0.233512i
\(579\) −8.20505 7.92352i −0.340990 0.329290i
\(580\) 9.39165 19.2557i 0.389967 0.799551i
\(581\) 12.8395 + 2.72911i 0.532671 + 0.113223i
\(582\) −3.53543 6.12355i −0.146548 0.253829i
\(583\) 0.901182 + 36.1036i 0.0373232 + 1.49526i
\(584\) −1.80086 + 0.655459i −0.0745201 + 0.0271231i
\(585\) −1.45216 + 41.5844i −0.0600394 + 1.71930i
\(586\) 5.04063 + 20.2169i 0.208227 + 0.835151i
\(587\) −0.893073 1.83107i −0.0368611 0.0755764i 0.879569 0.475772i \(-0.157831\pi\)
−0.916430 + 0.400195i \(0.868942\pi\)
\(588\) 1.22574 3.77243i 0.0505485 0.155572i
\(589\) −0.267830 + 1.20167i −0.0110357 + 0.0495139i
\(590\) −11.0769 + 8.04782i −0.456027 + 0.331323i
\(591\) 5.98648 5.78107i 0.246251 0.237802i
\(592\) −0.841337 + 2.08238i −0.0345787 + 0.0855854i
\(593\) 23.2548 + 8.46407i 0.954961 + 0.347578i 0.772057 0.635553i \(-0.219228\pi\)
0.182904 + 0.983131i \(0.441450\pi\)
\(594\) −9.88329 7.33199i −0.405516 0.300835i
\(595\) 9.72089 8.15680i 0.398518 0.334396i
\(596\) −15.8578 + 17.6118i −0.649560 + 0.721409i
\(597\) 11.1866 4.98061i 0.457838 0.203843i
\(598\) −22.6297 21.8532i −0.925395 0.893644i
\(599\) 35.9597 + 5.05380i 1.46927 + 0.206493i 0.827960 0.560787i \(-0.189502\pi\)
0.641312 + 0.767280i \(0.278390\pi\)
\(600\) −0.522941 0.580785i −0.0213490 0.0237104i
\(601\) −1.49290 0.664682i −0.0608967 0.0271129i 0.376062 0.926594i \(-0.377278\pi\)
−0.436959 + 0.899481i \(0.643945\pi\)
\(602\) −9.16965 + 0.641204i −0.373727 + 0.0261335i
\(603\) 1.62339 + 2.07784i 0.0661095 + 0.0846164i
\(604\) 18.5785 + 6.76201i 0.755947 + 0.275142i
\(605\) 4.20816 + 26.9969i 0.171086 + 1.09758i
\(606\) −0.173829 + 0.985831i −0.00706130 + 0.0400466i
\(607\) −4.19657 12.9157i −0.170334 0.524233i 0.829056 0.559166i \(-0.188878\pi\)
−0.999390 + 0.0349324i \(0.988878\pi\)
\(608\) −1.53114 + 4.08113i −0.0620958 + 0.165512i
\(609\) −4.80639 + 3.49205i −0.194765 + 0.141505i
\(610\) −7.40620 3.93795i −0.299868 0.159443i
\(611\) 63.0897 39.4228i 2.55233 1.59488i
\(612\) 12.1637 3.48789i 0.491689 0.140989i
\(613\) 9.64959 + 2.76697i 0.389743 + 0.111757i 0.464786 0.885423i \(-0.346131\pi\)
−0.0750424 + 0.997180i \(0.523909\pi\)
\(614\) −0.223103 0.139410i −0.00900369 0.00562613i
\(615\) 4.21326 + 7.29758i 0.169895 + 0.294267i
\(616\) 3.41327 0.204571i 0.137525 0.00824240i
\(617\) 1.03677 + 5.87983i 0.0417389 + 0.236713i 0.998539 0.0540330i \(-0.0172076\pi\)
−0.956800 + 0.290746i \(0.906097\pi\)
\(618\) −1.05726 + 0.562155i −0.0425293 + 0.0226132i
\(619\) −11.8853 + 5.29169i −0.477712 + 0.212691i −0.631444 0.775421i \(-0.717537\pi\)
0.153732 + 0.988113i \(0.450871\pi\)
\(620\) 0.640914 + 0.285353i 0.0257397 + 0.0114601i
\(621\) −6.66559 16.4979i −0.267481 0.662039i
\(622\) −0.136820 3.91802i −0.00548599 0.157098i
\(623\) −12.0162 + 3.44560i −0.481420 + 0.138045i
\(624\) 1.06028 + 4.25253i 0.0424450 + 0.170237i
\(625\) −29.1936 + 4.10289i −1.16774 + 0.164116i
\(626\) −8.44537 −0.337545
\(627\) 7.04834 + 6.60379i 0.281484 + 0.263730i
\(628\) −20.2352 −0.807471
\(629\) −11.0208 + 1.54887i −0.439427 + 0.0617574i
\(630\) −1.58206 6.34529i −0.0630307 0.252802i
\(631\) −10.7730 + 3.08910i −0.428865 + 0.122975i −0.483124 0.875552i \(-0.660498\pi\)
0.0542591 + 0.998527i \(0.482720\pi\)
\(632\) 0.477626 + 13.6774i 0.0189989 + 0.544058i
\(633\) 6.87460 + 17.0152i 0.273241 + 0.676295i
\(634\) 12.5964 + 5.60827i 0.500266 + 0.222733i
\(635\) 20.1044 8.95105i 0.797818 0.355212i
\(636\) 6.42344 3.41540i 0.254706 0.135430i
\(637\) −6.76305 38.3552i −0.267962 1.51969i
\(638\) 24.1075 + 15.3997i 0.954425 + 0.609679i
\(639\) −12.7985 22.1677i −0.506301 0.876939i
\(640\) 2.10647 + 1.31627i 0.0832655 + 0.0520300i
\(641\) 31.0358 + 8.89937i 1.22584 + 0.351504i 0.825258 0.564756i \(-0.191030\pi\)
0.400583 + 0.916261i \(0.368808\pi\)
\(642\) −2.55901 + 0.733785i −0.100996 + 0.0289602i
\(643\) −5.98622 + 3.74061i −0.236074 + 0.147515i −0.642798 0.766036i \(-0.722227\pi\)
0.406724 + 0.913551i \(0.366671\pi\)
\(644\) 4.36547 + 2.32116i 0.172024 + 0.0914666i
\(645\) −11.9700 + 8.69670i −0.471317 + 0.342432i
\(646\) −21.3072 + 3.54082i −0.838320 + 0.139312i
\(647\) 3.98331 + 12.2594i 0.156600 + 0.481965i 0.998319 0.0579498i \(-0.0184563\pi\)
−0.841719 + 0.539915i \(0.818456\pi\)
\(648\) 0.899844 5.10327i 0.0353492 0.200475i
\(649\) −8.98295 15.9228i −0.352612 0.625023i
\(650\) −7.21084 2.62453i −0.282832 0.102943i
\(651\) −0.119777 0.153307i −0.00469443 0.00600859i
\(652\) 17.8604 1.24892i 0.699469 0.0489116i
\(653\) 34.8624 + 15.5217i 1.36427 + 0.607412i 0.952685 0.303959i \(-0.0983087\pi\)
0.411585 + 0.911371i \(0.364975\pi\)
\(654\) 3.27554 + 3.63785i 0.128084 + 0.142251i
\(655\) −24.4501 3.43624i −0.955346 0.134265i
\(656\) −3.65263 3.52730i −0.142611 0.137718i
\(657\) −4.47079 + 1.99052i −0.174422 + 0.0776577i
\(658\) −7.82350 + 8.68888i −0.304992 + 0.338728i
\(659\) 5.62878 4.72311i 0.219266 0.183986i −0.526538 0.850152i \(-0.676510\pi\)
0.745804 + 0.666166i \(0.232066\pi\)
\(660\) 4.48475 3.19066i 0.174569 0.124196i
\(661\) −0.0782404 0.0284772i −0.00304320 0.00110763i 0.340498 0.940245i \(-0.389404\pi\)
−0.343541 + 0.939138i \(0.611627\pi\)
\(662\) −3.91251 + 9.68379i −0.152064 + 0.376371i
\(663\) −15.6222 + 15.0862i −0.606716 + 0.585899i
\(664\) −10.3002 + 7.48356i −0.399726 + 0.290418i
\(665\) 1.44449 + 11.0687i 0.0560148 + 0.429226i
\(666\) −1.77230 + 5.45457i −0.0686751 + 0.211360i
\(667\) 18.1322 + 37.1765i 0.702082 + 1.43948i
\(668\) −4.08485 16.3834i −0.158048 0.633894i
\(669\) −0.152229 + 4.35926i −0.00588551 + 0.168539i
\(670\) −2.41014 + 0.877217i −0.0931116 + 0.0338899i
\(671\) 6.35511 9.22254i 0.245336 0.356032i
\(672\) −0.344402 0.596522i −0.0132856 0.0230113i
\(673\) −35.9661 7.64482i −1.38639 0.294686i −0.546507 0.837454i \(-0.684043\pi\)
−0.839883 + 0.542768i \(0.817376\pi\)
\(674\) 2.20168 4.51411i 0.0848054 0.173877i
\(675\) −3.12215 3.01502i −0.120172 0.116048i
\(676\) 20.0960 + 22.3189i 0.772923 + 0.858418i
\(677\) −5.80999 + 1.23495i −0.223296 + 0.0474630i −0.318201 0.948023i \(-0.603079\pi\)
0.0949049 + 0.995486i \(0.469745\pi\)
\(678\) −0.199401 + 0.799753i −0.00765795 + 0.0307143i
\(679\) 10.4888 + 3.00761i 0.402522 + 0.115421i
\(680\) −0.429554 + 12.3008i −0.0164727 + 0.471715i
\(681\) 0.952642 + 0.799362i 0.0365053 + 0.0306316i
\(682\) −0.476433 + 0.806564i −0.0182436 + 0.0308849i
\(683\) 26.7153 1.02223 0.511115 0.859512i \(-0.329232\pi\)
0.511115 + 0.859512i \(0.329232\pi\)
\(684\) −3.17346 + 10.6691i −0.121340 + 0.407943i
\(685\) −19.5824 14.2274i −0.748203 0.543602i
\(686\) 5.84697 + 11.9881i 0.223238 + 0.457706i
\(687\) 3.78892 2.36758i 0.144556 0.0903288i
\(688\) 5.48909 7.02572i 0.209270 0.267853i
\(689\) 39.9441 59.2195i 1.52175 2.25608i
\(690\) 7.93891 0.555143i 0.302229 0.0211339i
\(691\) −2.12865 + 2.36411i −0.0809778 + 0.0899349i −0.782272 0.622937i \(-0.785939\pi\)
0.701294 + 0.712872i \(0.252606\pi\)
\(692\) −6.58477 + 11.4051i −0.250315 + 0.433559i
\(693\) 8.65859 1.12914i 0.328913 0.0428926i
\(694\) −1.58372 8.98175i −0.0601174 0.340943i
\(695\) −14.9629 3.18046i −0.567575 0.120642i
\(696\) 0.602342 5.73090i 0.0228317 0.217229i
\(697\) 6.08711 24.4141i 0.230566 0.924749i
\(698\) 0.117551 + 3.36621i 0.00444936 + 0.127413i
\(699\) −9.79242 + 12.5337i −0.370383 + 0.474069i
\(700\) 1.20308 + 0.0841273i 0.0454720 + 0.00317971i
\(701\) −17.9981 + 17.3805i −0.679778 + 0.656454i −0.952112 0.305749i \(-0.901093\pi\)
0.272335 + 0.962203i \(0.412204\pi\)
\(702\) 7.52148 + 23.1487i 0.283880 + 0.873693i
\(703\) 4.06982 8.90369i 0.153496 0.335809i
\(704\) −2.06782 + 2.59309i −0.0779340 + 0.0977307i
\(705\) −3.26802 + 18.5338i −0.123081 + 0.698025i
\(706\) 4.57909 11.3337i 0.172336 0.426548i
\(707\) −0.863819 1.28066i −0.0324873 0.0481644i
\(708\) −2.05935 + 3.05311i −0.0773950 + 0.114743i
\(709\) 10.5039 + 25.9980i 0.394481 + 0.976374i 0.985494 + 0.169712i \(0.0542837\pi\)
−0.591013 + 0.806662i \(0.701272\pi\)
\(710\) 24.3539 5.17658i 0.913985 0.194273i
\(711\) 3.65311 + 34.7570i 0.137002 + 1.30349i
\(712\) 5.31515 10.8977i 0.199194 0.408408i
\(713\) −1.19595 + 0.635899i −0.0447887 + 0.0238146i
\(714\) 1.70659 2.95591i 0.0638677 0.110622i
\(715\) 24.1726 48.3345i 0.904004 1.80761i
\(716\) 1.62937 1.36720i 0.0608924 0.0510948i
\(717\) −4.73108 6.05551i −0.176685 0.226147i
\(718\) −1.31570 1.95061i −0.0491015 0.0727960i
\(719\) −23.7256 1.65905i −0.884814 0.0618722i −0.379886 0.925033i \(-0.624037\pi\)
−0.504928 + 0.863161i \(0.668481\pi\)
\(720\) 5.60053 + 2.97785i 0.208719 + 0.110978i
\(721\) 0.571005 1.75737i 0.0212653 0.0654480i
\(722\) 7.46345 17.4727i 0.277761 0.650268i
\(723\) 0.925312 + 0.672278i 0.0344127 + 0.0250023i
\(724\) 20.5537 2.88863i 0.763872 0.107355i
\(725\) 7.72892 + 6.48533i 0.287045 + 0.240859i
\(726\) 3.54718 + 6.43639i 0.131648 + 0.238877i
\(727\) 12.2512 4.45909i 0.454373 0.165378i −0.104687 0.994505i \(-0.533384\pi\)
0.559061 + 0.829127i \(0.311162\pi\)
\(728\) −5.73554 3.58396i −0.212573 0.132831i
\(729\) 0.605866 5.76443i 0.0224395 0.213498i
\(730\) −0.497580 4.73416i −0.0184163 0.175219i
\(731\) 43.7498 + 6.14863i 1.61814 + 0.227415i
\(732\) −2.23420 0.313996i −0.0825783 0.0116056i
\(733\) 2.99274 + 28.4740i 0.110539 + 1.05171i 0.899396 + 0.437135i \(0.144007\pi\)
−0.788857 + 0.614577i \(0.789327\pi\)
\(734\) −0.313040 + 2.97838i −0.0115545 + 0.109934i
\(735\) 8.35544 + 5.22106i 0.308195 + 0.192582i
\(736\) −4.50639 + 1.64019i −0.166108 + 0.0604583i
\(737\) −0.795394 3.33101i −0.0292987 0.122699i
\(738\) −9.93310 8.33486i −0.365643 0.306811i
\(739\) −5.91843 + 0.831781i −0.217713 + 0.0305975i −0.247186 0.968968i \(-0.579506\pi\)
0.0294733 + 0.999566i \(0.490617\pi\)
\(740\) −4.51322 3.27905i −0.165909 0.120540i
\(741\) −3.78751 18.7246i −0.139138 0.687865i
\(742\) −3.46917 + 10.6770i −0.127357 + 0.391965i
\(743\) 0.559989 + 0.297752i 0.0205440 + 0.0109234i 0.479712 0.877426i \(-0.340741\pi\)
−0.459168 + 0.888350i \(0.651852\pi\)
\(744\) 0.188243 + 0.0131632i 0.00690132 + 0.000482588i
\(745\) −32.9175 48.8023i −1.20601 1.78798i
\(746\) −2.45109 3.13725i −0.0897408 0.114863i
\(747\) −24.9059 + 20.8986i −0.911261 + 0.764638i
\(748\) −16.2512 2.44909i −0.594201 0.0895478i
\(749\) 2.05405 3.55772i 0.0750534 0.129996i
\(750\) −5.61225 + 2.98409i −0.204930 + 0.108963i
\(751\) −17.7610 + 36.4154i −0.648108 + 1.32882i 0.281248 + 0.959635i \(0.409252\pi\)
−0.929356 + 0.369184i \(0.879637\pi\)
\(752\) −1.18542 11.2785i −0.0432278 0.411285i
\(753\) −0.994536 + 0.211395i −0.0362429 + 0.00770367i
\(754\) −21.1954 52.4605i −0.771891 1.91050i
\(755\) −27.4612 + 40.7130i −0.999417 + 1.48170i
\(756\) −2.13912 3.17138i −0.0777990 0.115342i
\(757\) 12.9933 32.1594i 0.472248 1.16885i −0.483678 0.875246i \(-0.660699\pi\)
0.955926 0.293608i \(-0.0948562\pi\)
\(758\) 1.68160 9.53684i 0.0610785 0.346394i
\(759\) −0.476508 + 10.6156i −0.0172961 + 0.385322i
\(760\) −8.91593 6.14261i −0.323415 0.222816i
\(761\) 12.6247 + 38.8550i 0.457647 + 1.40849i 0.868000 + 0.496565i \(0.165405\pi\)
−0.410353 + 0.911927i \(0.634595\pi\)
\(762\) 4.25798 4.11188i 0.154250 0.148958i
\(763\) −7.53569 0.526947i −0.272810 0.0190768i
\(764\) −0.0128657 + 0.0164673i −0.000465465 + 0.000595768i
\(765\) 1.09693 + 31.4119i 0.0396595 + 1.13570i
\(766\) −7.06497 + 28.3361i −0.255268 + 1.02382i
\(767\) −3.77973 + 35.9617i −0.136478 + 1.29850i
\(768\) 0.653502 + 0.138906i 0.0235812 + 0.00501234i
\(769\) 2.88727 + 16.3745i 0.104118 + 0.590481i 0.991569 + 0.129579i \(0.0413627\pi\)
−0.887451 + 0.460901i \(0.847526\pi\)
\(770\) −1.55803 + 8.34932i −0.0561475 + 0.300889i
\(771\) 0.698723 1.21022i 0.0251639 0.0435851i
\(772\) −11.4239 + 12.6875i −0.411156 + 0.456635i
\(773\) 40.8758 2.85831i 1.47020 0.102806i 0.687944 0.725764i \(-0.258514\pi\)
0.782255 + 0.622958i \(0.214069\pi\)
\(774\) 12.7315 18.8752i 0.457625 0.678457i
\(775\) −0.203412 + 0.260356i −0.00730678 + 0.00935225i
\(776\) −8.97532 + 5.60840i −0.322195 + 0.201330i
\(777\) 0.678160 + 1.39043i 0.0243289 + 0.0498816i
\(778\) −29.3253 21.3061i −1.05136 0.763860i
\(779\) 15.2175 + 16.0722i 0.545222 + 0.575847i
\(780\) −10.8862 −0.389790
\(781\) 3.14588 + 33.0958i 0.112568 + 1.18426i
\(782\) −18.2038 15.2748i −0.650966 0.546225i
\(783\) 1.11688 31.9832i 0.0399139 1.14298i
\(784\) −5.70707 1.63648i −0.203824 0.0584456i
\(785\) 12.1595 48.7691i 0.433992 1.74065i
\(786\) −6.49593 + 1.38075i −0.231702 + 0.0492498i
\(787\) −7.76969 8.62912i −0.276960 0.307595i 0.588576 0.808442i \(-0.299689\pi\)
−0.865536 + 0.500847i \(0.833022\pi\)
\(788\) −8.96042 8.65298i −0.319202 0.308250i
\(789\) 2.46422 5.05240i 0.0877286 0.179870i
\(790\) −33.2512 7.06776i −1.18302 0.251460i
\(791\) −0.635964 1.10152i −0.0226123 0.0391656i
\(792\) −4.80570 + 6.97403i −0.170763 + 0.247811i
\(793\) −20.8167 + 7.57667i −0.739224 + 0.269056i
\(794\) 0.119367 3.41821i 0.00423616 0.121308i
\(795\) 4.37162 + 17.5336i 0.155045 + 0.621853i
\(796\) −8.03468 16.4735i −0.284782 0.583889i
\(797\) 12.1334 37.3427i 0.429786 1.32275i −0.468550 0.883437i \(-0.655223\pi\)
0.898336 0.439309i \(-0.144777\pi\)
\(798\) 1.38335 + 2.66475i 0.0489702 + 0.0943312i
\(799\) 45.4631 33.0309i 1.60837 1.16855i
\(800\) −0.841460 + 0.812588i −0.0297501 + 0.0287293i
\(801\) 11.5987 28.7078i 0.409819 1.01434i
\(802\) −16.4420 5.98440i −0.580587 0.211316i
\(803\) 6.35578 + 0.0632471i 0.224291 + 0.00223194i
\(804\) −0.528467 + 0.443436i −0.0186376 + 0.0156388i
\(805\) −8.21753 + 9.12650i −0.289630 + 0.321667i
\(806\) 1.69265 0.753615i 0.0596209 0.0265450i
\(807\) 0.184467 + 0.178138i 0.00649354 + 0.00627074i
\(808\) 1.48375 + 0.208528i 0.0521982 + 0.00733597i
\(809\) 15.2888 + 16.9800i 0.537527 + 0.596984i 0.949327 0.314290i \(-0.101767\pi\)
−0.411800 + 0.911274i \(0.635100\pi\)
\(810\) 11.7588 + 5.23534i 0.413161 + 0.183951i
\(811\) 44.6909 3.12509i 1.56931 0.109737i 0.741581 0.670864i \(-0.234076\pi\)
0.827730 + 0.561127i \(0.189632\pi\)
\(812\) 5.47470 + 7.00730i 0.192124 + 0.245908i
\(813\) −17.6953 6.44058i −0.620603 0.225881i
\(814\) 5.03911 5.48572i 0.176621 0.192275i
\(815\) −7.72247 + 43.7963i −0.270506 + 1.53412i
\(816\) 1.02303 + 3.14857i 0.0358133 + 0.110222i
\(817\) −25.2729 + 29.5230i −0.884186 + 1.03288i
\(818\) 8.20851 5.96383i 0.287004 0.208520i
\(819\) −15.2492 8.10817i −0.532852 0.283322i
\(820\) 10.6961 6.68368i 0.373525 0.233404i
\(821\) −29.2818 + 8.39641i −1.02194 + 0.293037i −0.744441 0.667689i \(-0.767284\pi\)
−0.277500 + 0.960726i \(0.589506\pi\)
\(822\) −6.25831 1.79454i −0.218284 0.0625918i
\(823\) −43.3056 27.0603i −1.50954 0.943263i −0.996384 0.0849659i \(-0.972922\pi\)
−0.513153 0.858297i \(-0.671523\pi\)
\(824\) 0.896137 + 1.55216i 0.0312184 + 0.0540719i
\(825\) 0.947025 + 2.41282i 0.0329712 + 0.0840037i
\(826\) −0.986844 5.59667i −0.0343367 0.194733i
\(827\) −27.1755 + 14.4495i −0.944985 + 0.502457i −0.869088 0.494658i \(-0.835293\pi\)
−0.0758973 + 0.997116i \(0.524182\pi\)
\(828\) −11.1875 + 4.98099i −0.388792 + 0.173102i
\(829\) −24.6654 10.9817i −0.856665 0.381412i −0.0690750 0.997611i \(-0.522005\pi\)
−0.787590 + 0.616200i \(0.788671\pi\)
\(830\) −11.8467 29.3217i −0.411207 1.01777i
\(831\) −0.550572 15.7663i −0.0190991 0.546927i
\(832\) 6.30583 1.80817i 0.218615 0.0626869i
\(833\) −7.11724 28.5457i −0.246598 0.989050i
\(834\) −4.07448 + 0.572631i −0.141088 + 0.0198286i
\(835\) 41.9406 1.45142
\(836\) 9.51021 10.8883i 0.328917 0.376581i
\(837\) 1.04799 0.0362237
\(838\) 10.3377 1.45288i 0.357112 0.0501888i
\(839\) 1.59225 + 6.38618i 0.0549707 + 0.220476i 0.991499 0.130118i \(-0.0415355\pi\)
−0.936528 + 0.350593i \(0.885980\pi\)
\(840\) 1.64464 0.471594i 0.0567456 0.0162715i
\(841\) 1.58419 + 45.3652i 0.0546272 + 1.56432i
\(842\) 0.188210 + 0.465837i 0.00648616 + 0.0160538i
\(843\) 8.38844 + 3.73478i 0.288913 + 0.128633i
\(844\) 25.0934 11.1723i 0.863751 0.384567i
\(845\) −65.8670 + 35.0221i −2.26589 + 1.20480i
\(846\) −5.02883 28.5199i −0.172895 0.980535i
\(847\) −10.8372 3.34229i −0.372369 0.114842i
\(848\) −5.44452 9.43019i −0.186966 0.323834i
\(849\) 9.25478 + 5.78303i 0.317623 + 0.198473i
\(850\) −5.57193 1.59772i −0.191116 0.0548015i
\(851\) 10.3533 2.96876i 0.354907 0.101768i
\(852\) 5.67927 3.54880i 0.194569 0.121580i
\(853\) −9.62879 5.11972i −0.329684 0.175296i 0.296375 0.955071i \(-0.404222\pi\)
−0.626059 + 0.779776i \(0.715333\pi\)
\(854\) 2.81668 2.04644i 0.0963847 0.0700276i
\(855\) −23.8068 14.0596i −0.814176 0.480828i
\(856\) 1.23132 + 3.78961i 0.0420856 + 0.129526i
\(857\) 1.07937 6.12139i 0.0368705 0.209103i −0.960807 0.277218i \(-0.910588\pi\)
0.997677 + 0.0681154i \(0.0216986\pi\)
\(858\) 1.66318 14.4404i 0.0567800 0.492986i
\(859\) −11.1118 4.04437i −0.379130 0.137992i 0.145423 0.989370i \(-0.453546\pi\)
−0.524554 + 0.851377i \(0.675768\pi\)
\(860\) 13.6344 + 17.4512i 0.464928 + 0.595081i
\(861\) −3.48906 + 0.243979i −0.118907 + 0.00831477i
\(862\) −30.2557 13.4707i −1.03051 0.458814i
\(863\) −35.2406 39.1387i −1.19961 1.33230i −0.929212 0.369547i \(-0.879513\pi\)
−0.270393 0.962750i \(-0.587154\pi\)
\(864\) 3.67429 + 0.516387i 0.125002 + 0.0175679i
\(865\) −23.5309 22.7235i −0.800075 0.772623i
\(866\) 15.1124 6.72850i 0.513542 0.228644i
\(867\) −3.37717 + 3.75073i −0.114695 + 0.127381i
\(868\) −0.223071 + 0.187179i −0.00757151 + 0.00635325i
\(869\) 14.4553 43.0272i 0.490362 1.45960i
\(870\) 13.4502 + 4.89547i 0.456004 + 0.165972i
\(871\) −2.53745 + 6.28041i −0.0859782 + 0.212803i
\(872\) 5.27064 5.08980i 0.178486 0.172362i
\(873\) −21.8649 + 15.8858i −0.740014 + 0.537652i
\(874\) 19.9432 6.26326i 0.674588 0.211858i
\(875\) 3.03106 9.32866i 0.102469 0.315366i
\(876\) −0.561279 1.15079i −0.0189639 0.0388817i
\(877\) −7.42404 29.7762i −0.250692 1.00547i −0.955244 0.295819i \(-0.904408\pi\)
0.704552 0.709652i \(-0.251148\pi\)
\(878\) 0.161184 4.61569i 0.00543968 0.155772i
\(879\) −13.0809 + 4.76107i −0.441208 + 0.160587i
\(880\) −5.00708 6.54191i −0.168788 0.220528i
\(881\) −27.5241 47.6731i −0.927309 1.60615i −0.787804 0.615926i \(-0.788782\pi\)
−0.139505 0.990221i \(-0.544551\pi\)
\(882\) −14.8298 3.15218i −0.499346 0.106139i
\(883\) 1.41397 2.89907i 0.0475839 0.0975615i −0.873677 0.486506i \(-0.838271\pi\)
0.921261 + 0.388944i \(0.127160\pi\)
\(884\) 23.3830 + 22.5807i 0.786454 + 0.759470i
\(885\) −6.12087 6.79791i −0.205751 0.228509i
\(886\) −2.89649 + 0.615669i −0.0973096 + 0.0206838i
\(887\) 2.05298 8.23406i 0.0689324 0.276473i −0.925932 0.377691i \(-0.876718\pi\)
0.994864 + 0.101218i \(0.0322739\pi\)
\(888\) −1.44238 0.413595i −0.0484030 0.0138793i
\(889\) −0.318786 + 9.12883i −0.0106917 + 0.306171i
\(890\) 23.0708 + 19.3587i 0.773334 + 0.648904i
\(891\) −8.74105 + 14.7979i −0.292836 + 0.495749i
\(892\) 6.52883 0.218601
\(893\) 2.96197 + 49.3438i 0.0991185 + 1.65123i
\(894\) −12.8095 9.30664i −0.428413 0.311260i
\(895\) 2.31602 + 4.74854i 0.0774159 + 0.158726i
\(896\) −0.874326 + 0.546340i −0.0292092 + 0.0182519i
\(897\) 12.9398 16.5622i 0.432048 0.552997i
\(898\) −10.0588 + 14.9129i −0.335668 + 0.497648i
\(899\) −2.43020 + 0.169936i −0.0810517 + 0.00566769i
\(900\) −1.99880 + 2.21989i −0.0666267 + 0.0739965i
\(901\) 26.9789 46.7289i 0.898798 1.55676i
\(902\) 7.23162 + 15.2093i 0.240787 + 0.506414i
\(903\) −1.06641 6.04792i −0.0354879 0.201262i
\(904\) 1.20674 + 0.256501i 0.0401356 + 0.00853108i
\(905\) −5.38898 + 51.2727i −0.179136 + 1.70436i
\(906\) −3.19552 + 12.8165i −0.106164 + 0.425801i
\(907\) −0.496845 14.2278i −0.0164975 0.472426i −0.979323 0.202302i \(-0.935158\pi\)
0.962826 0.270124i \(-0.0870645\pi\)
\(908\) 1.14598 1.46678i 0.0380305 0.0486768i
\(909\) 3.81688 + 0.266902i 0.126598 + 0.00885259i
\(910\) 12.0843 11.6697i 0.400591 0.386847i
\(911\) 6.63032 + 20.4060i 0.219672 + 0.676082i 0.998789 + 0.0492030i \(0.0156681\pi\)
−0.779116 + 0.626879i \(0.784332\pi\)
\(912\) −2.81860 0.732343i −0.0933332 0.0242503i
\(913\) 40.7046 11.2347i 1.34712 0.371815i
\(914\) −3.78432 + 21.4619i −0.125174 + 0.709898i
\(915\) 2.09932 5.19600i 0.0694014 0.171774i
\(916\) −3.73950 5.54404i −0.123557 0.183180i
\(917\) 5.73072 8.49614i 0.189245 0.280567i
\(918\) 6.88748 + 17.0471i 0.227321 + 0.562639i
\(919\) −4.15282 + 0.882709i −0.136989 + 0.0291179i −0.275896 0.961188i \(-0.588974\pi\)
0.138907 + 0.990305i \(0.455641\pi\)
\(920\) −1.24512 11.8465i −0.0410505 0.390569i
\(921\) 0.0770493 0.157975i 0.00253886 0.00520544i
\(922\) −26.4825 + 14.0810i −0.872155 + 0.463733i
\(923\) 32.8776 56.9457i 1.08218 1.87439i
\(924\) 0.374294 + 2.25363i 0.0123134 + 0.0741391i
\(925\) 2.01255 1.68873i 0.0661724 0.0555252i
\(926\) 1.87074 + 2.39443i 0.0614762 + 0.0786860i
\(927\) 2.55933 + 3.79436i 0.0840593 + 0.124623i
\(928\) −8.60412 0.601659i −0.282444 0.0197504i
\(929\) −11.1778 5.94334i −0.366732 0.194995i 0.275870 0.961195i \(-0.411034\pi\)
−0.642602 + 0.766200i \(0.722145\pi\)
\(930\) −0.144842 + 0.445778i −0.00474956 + 0.0146176i
\(931\) 24.5324 + 8.23931i 0.804018 + 0.270032i
\(932\) 19.2603 + 13.9934i 0.630892 + 0.458370i
\(933\) 2.59374 0.364527i 0.0849153 0.0119341i
\(934\) −18.9231 15.8783i −0.619181 0.519555i
\(935\) 15.6681 37.6955i 0.512402 1.23278i
\(936\) 15.7415 5.72944i 0.514527 0.187273i
\(937\) −17.4244 10.8880i −0.569230 0.355694i 0.214569 0.976709i \(-0.431165\pi\)
−0.783799 + 0.621015i \(0.786721\pi\)
\(938\) 0.111278 1.05874i 0.00363335 0.0345690i
\(939\) −0.589788 5.61145i −0.0192470 0.183123i
\(940\) 27.8949 + 3.92037i 0.909830 + 0.127868i
\(941\) 6.63710 + 0.932784i 0.216363 + 0.0304079i 0.246522 0.969137i \(-0.420712\pi\)
−0.0301584 + 0.999545i \(0.509601\pi\)
\(942\) −1.41314 13.4451i −0.0460424 0.438065i
\(943\) −2.54536 + 24.2175i −0.0828883 + 0.788629i
\(944\) 4.67461 + 2.92102i 0.152146 + 0.0950711i
\(945\) 8.92881 3.24982i 0.290454 0.105717i
\(946\) −25.2317 + 15.4195i −0.820353 + 0.501332i
\(947\) −7.08289 5.94325i −0.230163 0.193130i 0.520411 0.853916i \(-0.325779\pi\)
−0.750574 + 0.660786i \(0.770223\pi\)
\(948\) −9.05449 + 1.27253i −0.294076 + 0.0413297i
\(949\) −10.1707 7.38947i −0.330156 0.239872i
\(950\) 3.82267 3.37431i 0.124024 0.109477i
\(951\) −2.84669 + 8.76121i −0.0923103 + 0.284102i
\(952\) −4.51079 2.39843i −0.146196 0.0777336i
\(953\) 35.6736 + 2.49454i 1.15558 + 0.0808061i 0.634655 0.772796i \(-0.281142\pi\)
0.520926 + 0.853602i \(0.325587\pi\)
\(954\) −15.5493 23.0528i −0.503428 0.746362i
\(955\) −0.0319571 0.0409033i −0.00103411 0.00132360i
\(956\) −8.81109 + 7.39338i −0.284971 + 0.239119i
\(957\) −8.54863 + 17.0935i −0.276338 + 0.552553i
\(958\) −4.68965 + 8.12271i −0.151516 + 0.262433i
\(959\) 8.87076 4.71667i 0.286452 0.152309i
\(960\) −0.727477 + 1.49155i −0.0234792 + 0.0481395i
\(961\) 3.23204 + 30.7508i 0.104259 + 0.991963i
\(962\) −14.4112 + 3.06319i −0.464635 + 0.0987613i
\(963\) 3.81174 + 9.43439i 0.122832 + 0.304019i
\(964\) 0.957303 1.41926i 0.0308326 0.0457113i
\(965\) −23.7138 35.1571i −0.763373 1.13175i
\(966\) −1.23741 + 3.06270i −0.0398131 + 0.0985408i
\(967\) 5.85580 33.2099i 0.188310 1.06796i −0.733319 0.679885i \(-0.762030\pi\)
0.921628 0.388073i \(-0.126859\pi\)
\(968\) 9.44268 5.64232i 0.303499 0.181351i
\(969\) −3.84067 13.9101i −0.123380 0.446857i
\(970\) −8.12356 25.0017i −0.260832 0.802758i
\(971\) −36.3945 + 35.1457i −1.16795 + 1.12788i −0.178365 + 0.983964i \(0.557081\pi\)
−0.989590 + 0.143916i \(0.954030\pi\)
\(972\) 14.5577 + 1.01798i 0.466940 + 0.0326516i
\(973\) 3.90906 5.00336i 0.125319 0.160400i
\(974\) −0.134367 3.84775i −0.00430538 0.123290i
\(975\) 1.24027 4.97447i 0.0397206 0.159310i
\(976\) −0.352989 + 3.35846i −0.0112989 + 0.107502i
\(977\) −32.6767 6.94564i −1.04542 0.222211i −0.346975 0.937875i \(-0.612791\pi\)
−0.698445 + 0.715664i \(0.746124\pi\)
\(978\) 2.07713 + 11.7800i 0.0664194 + 0.376683i
\(979\) −29.2036 + 27.6453i −0.933350 + 0.883548i
\(980\) 7.37354 12.7714i 0.235539 0.407966i
\(981\) 12.5199 13.9047i 0.399729 0.443944i
\(982\) −7.02143 + 0.490986i −0.224063 + 0.0156680i
\(983\) −18.2882 + 27.1134i −0.583305 + 0.864785i −0.999000 0.0447195i \(-0.985761\pi\)
0.415695 + 0.909504i \(0.363538\pi\)
\(984\) 2.08860 2.67329i 0.0665822 0.0852214i
\(985\) 26.2391 16.3960i 0.836048 0.522421i
\(986\) −18.7358 38.4141i −0.596669 1.22335i
\(987\) −6.31961 4.59147i −0.201155 0.146148i
\(988\) −27.8116 + 6.64372i −0.884806 + 0.211365i
\(989\) −42.7565 −1.35958
\(990\) −13.9205 15.7731i −0.442421 0.501301i
\(991\) 9.53725 + 8.00270i 0.302961 + 0.254214i 0.781575 0.623811i \(-0.214416\pi\)
−0.478615 + 0.878025i \(0.658861\pi\)
\(992\) 0.00985722 0.282274i 0.000312967 0.00896221i
\(993\) −6.70755 1.92336i −0.212858 0.0610359i
\(994\) −2.50010 + 10.0274i −0.0792984 + 0.318049i
\(995\) 44.5313 9.46542i 1.41174 0.300074i
\(996\) −5.69171 6.32129i −0.180349 0.200298i
\(997\) 4.58644 + 4.42907i 0.145254 + 0.140270i 0.763736 0.645529i \(-0.223363\pi\)
−0.618482 + 0.785799i \(0.712252\pi\)
\(998\) −9.96377 + 20.4287i −0.315397 + 0.646661i
\(999\) −8.15116 1.73258i −0.257891 0.0548165i
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 418.2.u.b.93.7 yes 264
11.9 even 5 inner 418.2.u.b.207.7 yes 264
19.9 even 9 inner 418.2.u.b.313.7 yes 264
209.9 even 45 inner 418.2.u.b.9.7 264
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
418.2.u.b.9.7 264 209.9 even 45 inner
418.2.u.b.93.7 yes 264 1.1 even 1 trivial
418.2.u.b.207.7 yes 264 11.9 even 5 inner
418.2.u.b.313.7 yes 264 19.9 even 9 inner