Properties

Label 690.2.m.d.271.1
Level $690$
Weight $2$
Character 690.271
Analytic conductor $5.510$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [690,2,Mod(31,690)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(690, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 0, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("690.31");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), degree \(10\), 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: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(2\) over \(\Q(\zeta_{11})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{20} - 5 x^{19} + 8 x^{18} - 32 x^{17} + 277 x^{16} - 1138 x^{15} + 2950 x^{14} - 6404 x^{13} + 24088 x^{12} - 93423 x^{11} + 318055 x^{10} - 798006 x^{9} + 1869818 x^{8} + \cdots + 7921 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 271.1
Root \(0.271421 + 1.88778i\) of defining polynomial
Character \(\chi\) \(=\) 690.271
Dual form 690.2.m.d.331.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.654861 - 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.142315 - 0.989821i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(-1.00994 - 2.21146i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.654861 - 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.142315 - 0.989821i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(-1.00994 - 2.21146i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(-0.415415 + 0.909632i) q^{10} +(-0.211740 + 0.0621724i) q^{11} +(0.959493 - 0.281733i) q^{12} +(1.34255 - 2.93977i) q^{13} +(0.345990 + 2.40641i) q^{14} +(-0.654861 - 0.755750i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-2.96949 + 1.90838i) q^{17} +(-0.142315 + 0.989821i) q^{18} +(-0.404593 - 0.260016i) q^{19} +(0.654861 - 0.755750i) q^{20} +(-2.33268 - 0.684937i) q^{21} +0.220679 q^{22} +(-3.67752 - 3.07829i) q^{23} -1.00000 q^{24} +(-0.959493 - 0.281733i) q^{25} +(-2.11639 + 2.44245i) q^{26} +(-0.841254 - 0.540641i) q^{27} +(0.345990 - 2.40641i) q^{28} +(-0.633960 + 0.407421i) q^{29} +(0.415415 + 0.909632i) q^{30} +(-0.253484 - 0.292537i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(-0.0916734 + 0.200737i) q^{33} +(3.38686 - 0.994471i) q^{34} +(-2.33268 + 0.684937i) q^{35} +(0.415415 - 0.909632i) q^{36} +(-0.396050 - 2.75459i) q^{37} +(0.314949 + 0.363470i) q^{38} +(-1.34255 - 2.93977i) q^{39} +(-0.841254 + 0.540641i) q^{40} +(-0.922033 + 6.41288i) q^{41} +(2.04522 + 1.31438i) q^{42} +(6.14258 - 7.08892i) q^{43} +(-0.211740 - 0.0621724i) q^{44} -1.00000 q^{45} +(2.66130 + 3.98967i) q^{46} -4.01695 q^{47} +(0.959493 + 0.281733i) q^{48} +(0.713450 - 0.823365i) q^{49} +(0.841254 + 0.540641i) q^{50} +(-0.502349 + 3.49391i) q^{51} +(2.71878 - 1.74726i) q^{52} +(-1.45679 - 3.18992i) q^{53} +(0.654861 + 0.755750i) q^{54} +(0.0314059 + 0.218433i) q^{55} +(-1.00994 + 2.21146i) q^{56} +(-0.461459 + 0.135496i) q^{57} +(0.723064 - 0.212311i) q^{58} +(-0.212272 + 0.464810i) q^{59} +(-0.142315 - 0.989821i) q^{60} +(-2.75460 - 3.17898i) q^{61} +(0.160799 + 0.352102i) q^{62} +(-2.04522 + 1.31438i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-2.71878 - 1.74726i) q^{65} +(0.144514 - 0.166778i) q^{66} +(1.52954 + 0.449114i) q^{67} -3.52984 q^{68} +(-4.73468 + 0.763434i) q^{69} +2.43116 q^{70} +(-13.0485 - 3.83139i) q^{71} +(-0.654861 + 0.755750i) q^{72} +(4.00646 + 2.57479i) q^{73} +(-0.396050 + 2.75459i) q^{74} +(-0.841254 + 0.540641i) q^{75} +(-0.199790 - 0.437478i) q^{76} +(0.351336 + 0.405464i) q^{77} +(0.459936 + 3.19893i) q^{78} +(-0.0929434 + 0.203518i) q^{79} +(0.959493 - 0.281733i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(2.69140 - 5.89335i) q^{82} +(-1.46253 - 10.1721i) q^{83} +(-1.59207 - 1.83735i) q^{84} +(1.46635 + 3.21086i) q^{85} +(-7.89095 + 5.07120i) q^{86} +(-0.107247 + 0.745919i) q^{87} +(0.185647 + 0.119308i) q^{88} +(6.26568 - 7.23098i) q^{89} +(0.959493 + 0.281733i) q^{90} -7.85707 q^{91} +(-1.42948 - 4.57784i) q^{92} -0.387081 q^{93} +(3.85423 + 1.13170i) q^{94} +(-0.314949 + 0.363470i) q^{95} +(-0.841254 - 0.540641i) q^{96} +(-0.536094 + 3.72862i) q^{97} +(-0.916519 + 0.589011i) q^{98} +(0.0916734 + 0.200737i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20 q - 2 q^{2} + 2 q^{3} - 2 q^{4} + 2 q^{5} + 2 q^{6} + 2 q^{7} - 2 q^{8} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 20 q - 2 q^{2} + 2 q^{3} - 2 q^{4} + 2 q^{5} + 2 q^{6} + 2 q^{7} - 2 q^{8} - 2 q^{9} + 2 q^{10} + 2 q^{11} + 2 q^{12} - 11 q^{13} + 2 q^{14} - 2 q^{15} - 2 q^{16} + 24 q^{17} - 2 q^{18} + 22 q^{19} + 2 q^{20} - 2 q^{21} + 2 q^{22} - 22 q^{23} - 20 q^{24} - 2 q^{25} + 11 q^{26} + 2 q^{27} + 2 q^{28} + 14 q^{29} - 2 q^{30} - 8 q^{31} - 2 q^{32} - 2 q^{33} - 9 q^{34} - 2 q^{35} - 2 q^{36} + 20 q^{37} + 11 q^{39} + 2 q^{40} - 21 q^{41} - 13 q^{42} + 34 q^{43} + 2 q^{44} - 20 q^{45} + 14 q^{47} + 2 q^{48} + 10 q^{49} - 2 q^{50} + 31 q^{51} + 2 q^{54} - 2 q^{55} + 2 q^{56} + 11 q^{57} - 19 q^{58} - 40 q^{59} - 2 q^{60} - 19 q^{61} - 8 q^{62} + 13 q^{63} - 2 q^{64} + 9 q^{66} + 18 q^{67} - 20 q^{68} - 22 q^{69} + 20 q^{70} - 85 q^{71} - 2 q^{72} + 39 q^{73} + 20 q^{74} + 2 q^{75} - 48 q^{77} - 11 q^{78} - 28 q^{79} + 2 q^{80} - 2 q^{81} + q^{82} + 49 q^{83} + 9 q^{84} - 13 q^{85} - 32 q^{86} + 8 q^{87} + 2 q^{88} + 3 q^{89} + 2 q^{90} - 34 q^{91} - 11 q^{92} - 36 q^{93} + 3 q^{94} + 2 q^{96} + 43 q^{97} + 10 q^{98} + 2 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{6}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 0.281733i −0.678464 0.199215i
\(3\) 0.654861 0.755750i 0.378084 0.436332i
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) 0.142315 0.989821i 0.0636451 0.442662i
\(6\) −0.841254 + 0.540641i −0.343440 + 0.220716i
\(7\) −1.00994 2.21146i −0.381721 0.835853i −0.998801 0.0489526i \(-0.984412\pi\)
0.617080 0.786901i \(-0.288316\pi\)
\(8\) −0.654861 0.755750i −0.231528 0.267198i
\(9\) −0.142315 0.989821i −0.0474383 0.329940i
\(10\) −0.415415 + 0.909632i −0.131366 + 0.287651i
\(11\) −0.211740 + 0.0621724i −0.0638420 + 0.0187457i −0.313498 0.949589i \(-0.601501\pi\)
0.249656 + 0.968335i \(0.419683\pi\)
\(12\) 0.959493 0.281733i 0.276982 0.0813292i
\(13\) 1.34255 2.93977i 0.372356 0.815345i −0.626985 0.779032i \(-0.715711\pi\)
0.999340 0.0363137i \(-0.0115615\pi\)
\(14\) 0.345990 + 2.40641i 0.0924697 + 0.643141i
\(15\) −0.654861 0.755750i −0.169084 0.195134i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) −2.96949 + 1.90838i −0.720207 + 0.462849i −0.848709 0.528860i \(-0.822620\pi\)
0.128502 + 0.991709i \(0.458983\pi\)
\(18\) −0.142315 + 0.989821i −0.0335439 + 0.233303i
\(19\) −0.404593 0.260016i −0.0928199 0.0596517i 0.493408 0.869798i \(-0.335751\pi\)
−0.586227 + 0.810147i \(0.699387\pi\)
\(20\) 0.654861 0.755750i 0.146431 0.168991i
\(21\) −2.33268 0.684937i −0.509032 0.149465i
\(22\) 0.220679 0.0470489
\(23\) −3.67752 3.07829i −0.766816 0.641867i
\(24\) −1.00000 −0.204124
\(25\) −0.959493 0.281733i −0.191899 0.0563465i
\(26\) −2.11639 + 2.44245i −0.415059 + 0.479004i
\(27\) −0.841254 0.540641i −0.161899 0.104046i
\(28\) 0.345990 2.40641i 0.0653860 0.454769i
\(29\) −0.633960 + 0.407421i −0.117723 + 0.0756562i −0.598177 0.801364i \(-0.704108\pi\)
0.480454 + 0.877020i \(0.340472\pi\)
\(30\) 0.415415 + 0.909632i 0.0758441 + 0.166075i
\(31\) −0.253484 0.292537i −0.0455271 0.0525411i 0.732529 0.680736i \(-0.238340\pi\)
−0.778056 + 0.628194i \(0.783794\pi\)
\(32\) −0.142315 0.989821i −0.0251579 0.174977i
\(33\) −0.0916734 + 0.200737i −0.0159583 + 0.0349438i
\(34\) 3.38686 0.994471i 0.580841 0.170550i
\(35\) −2.33268 + 0.684937i −0.394295 + 0.115775i
\(36\) 0.415415 0.909632i 0.0692358 0.151605i
\(37\) −0.396050 2.75459i −0.0651103 0.452852i −0.996131 0.0878847i \(-0.971989\pi\)
0.931020 0.364967i \(-0.118920\pi\)
\(38\) 0.314949 + 0.363470i 0.0510914 + 0.0589627i
\(39\) −1.34255 2.93977i −0.214980 0.470740i
\(40\) −0.841254 + 0.540641i −0.133014 + 0.0854828i
\(41\) −0.922033 + 6.41288i −0.143997 + 1.00152i 0.781807 + 0.623521i \(0.214298\pi\)
−0.925804 + 0.378003i \(0.876611\pi\)
\(42\) 2.04522 + 1.31438i 0.315584 + 0.202814i
\(43\) 6.14258 7.08892i 0.936735 1.08105i −0.0598275 0.998209i \(-0.519055\pi\)
0.996563 0.0828414i \(-0.0263995\pi\)
\(44\) −0.211740 0.0621724i −0.0319210 0.00937285i
\(45\) −1.00000 −0.149071
\(46\) 2.66130 + 3.98967i 0.392387 + 0.588245i
\(47\) −4.01695 −0.585932 −0.292966 0.956123i \(-0.594642\pi\)
−0.292966 + 0.956123i \(0.594642\pi\)
\(48\) 0.959493 + 0.281733i 0.138491 + 0.0406646i
\(49\) 0.713450 0.823365i 0.101921 0.117624i
\(50\) 0.841254 + 0.540641i 0.118971 + 0.0764582i
\(51\) −0.502349 + 3.49391i −0.0703429 + 0.489245i
\(52\) 2.71878 1.74726i 0.377027 0.242301i
\(53\) −1.45679 3.18992i −0.200105 0.438169i 0.782802 0.622271i \(-0.213790\pi\)
−0.982907 + 0.184102i \(0.941062\pi\)
\(54\) 0.654861 + 0.755750i 0.0891153 + 0.102844i
\(55\) 0.0314059 + 0.218433i 0.00423477 + 0.0294535i
\(56\) −1.00994 + 2.21146i −0.134959 + 0.295519i
\(57\) −0.461459 + 0.135496i −0.0611217 + 0.0179469i
\(58\) 0.723064 0.212311i 0.0949429 0.0278777i
\(59\) −0.212272 + 0.464810i −0.0276354 + 0.0605132i −0.922946 0.384929i \(-0.874226\pi\)
0.895311 + 0.445442i \(0.146953\pi\)
\(60\) −0.142315 0.989821i −0.0183728 0.127785i
\(61\) −2.75460 3.17898i −0.352690 0.407026i 0.551487 0.834183i \(-0.314061\pi\)
−0.904177 + 0.427157i \(0.859515\pi\)
\(62\) 0.160799 + 0.352102i 0.0204215 + 0.0447169i
\(63\) −2.04522 + 1.31438i −0.257674 + 0.165597i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) −2.71878 1.74726i −0.337223 0.216720i
\(66\) 0.144514 0.166778i 0.0177884 0.0205290i
\(67\) 1.52954 + 0.449114i 0.186863 + 0.0548680i 0.373825 0.927499i \(-0.378046\pi\)
−0.186962 + 0.982367i \(0.559864\pi\)
\(68\) −3.52984 −0.428056
\(69\) −4.73468 + 0.763434i −0.569988 + 0.0919066i
\(70\) 2.43116 0.290579
\(71\) −13.0485 3.83139i −1.54858 0.454703i −0.607901 0.794013i \(-0.707988\pi\)
−0.940675 + 0.339310i \(0.889806\pi\)
\(72\) −0.654861 + 0.755750i −0.0771761 + 0.0890659i
\(73\) 4.00646 + 2.57479i 0.468920 + 0.301357i 0.753679 0.657242i \(-0.228277\pi\)
−0.284759 + 0.958599i \(0.591914\pi\)
\(74\) −0.396050 + 2.75459i −0.0460399 + 0.320215i
\(75\) −0.841254 + 0.540641i −0.0971396 + 0.0624278i
\(76\) −0.199790 0.437478i −0.0229175 0.0501822i
\(77\) 0.351336 + 0.405464i 0.0400385 + 0.0462069i
\(78\) 0.459936 + 3.19893i 0.0520775 + 0.362207i
\(79\) −0.0929434 + 0.203518i −0.0104569 + 0.0228975i −0.914788 0.403933i \(-0.867643\pi\)
0.904331 + 0.426831i \(0.140370\pi\)
\(80\) 0.959493 0.281733i 0.107275 0.0314987i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) 2.69140 5.89335i 0.297216 0.650811i
\(83\) −1.46253 10.1721i −0.160534 1.11654i −0.897630 0.440750i \(-0.854713\pi\)
0.737096 0.675788i \(-0.236197\pi\)
\(84\) −1.59207 1.83735i −0.173709 0.200471i
\(85\) 1.46635 + 3.21086i 0.159048 + 0.348266i
\(86\) −7.89095 + 5.07120i −0.850903 + 0.546842i
\(87\) −0.107247 + 0.745919i −0.0114981 + 0.0799709i
\(88\) 0.185647 + 0.119308i 0.0197900 + 0.0127183i
\(89\) 6.26568 7.23098i 0.664161 0.766482i −0.319290 0.947657i \(-0.603444\pi\)
0.983451 + 0.181175i \(0.0579899\pi\)
\(90\) 0.959493 + 0.281733i 0.101139 + 0.0296972i
\(91\) −7.85707 −0.823645
\(92\) −1.42948 4.57784i −0.149033 0.477273i
\(93\) −0.387081 −0.0401385
\(94\) 3.85423 + 1.13170i 0.397534 + 0.116726i
\(95\) −0.314949 + 0.363470i −0.0323131 + 0.0372913i
\(96\) −0.841254 0.540641i −0.0858601 0.0551789i
\(97\) −0.536094 + 3.72862i −0.0544321 + 0.378584i 0.944337 + 0.328980i \(0.106705\pi\)
−0.998769 + 0.0496037i \(0.984204\pi\)
\(98\) −0.916519 + 0.589011i −0.0925824 + 0.0594991i
\(99\) 0.0916734 + 0.200737i 0.00921352 + 0.0201748i
\(100\) −0.654861 0.755750i −0.0654861 0.0755750i
\(101\) 1.55373 + 10.8065i 0.154602 + 1.07528i 0.908378 + 0.418150i \(0.137321\pi\)
−0.753776 + 0.657132i \(0.771769\pi\)
\(102\) 1.46635 3.21086i 0.145190 0.317922i
\(103\) 6.01184 1.76523i 0.592364 0.173934i 0.0282081 0.999602i \(-0.491020\pi\)
0.564156 + 0.825668i \(0.309202\pi\)
\(104\) −3.10091 + 0.910510i −0.304069 + 0.0892828i
\(105\) −1.00994 + 2.21146i −0.0985600 + 0.215816i
\(106\) 0.499073 + 3.47113i 0.0484743 + 0.337146i
\(107\) −5.78131 6.67199i −0.558900 0.645005i 0.404033 0.914744i \(-0.367608\pi\)
−0.962933 + 0.269739i \(0.913063\pi\)
\(108\) −0.415415 0.909632i −0.0399733 0.0875294i
\(109\) 4.11210 2.64269i 0.393868 0.253124i −0.328684 0.944440i \(-0.606605\pi\)
0.722552 + 0.691316i \(0.242969\pi\)
\(110\) 0.0314059 0.218433i 0.00299443 0.0208267i
\(111\) −2.34114 1.50456i −0.222211 0.142806i
\(112\) 1.59207 1.83735i 0.150437 0.173613i
\(113\) 11.0366 + 3.24064i 1.03824 + 0.304854i 0.756056 0.654507i \(-0.227124\pi\)
0.282181 + 0.959361i \(0.408942\pi\)
\(114\) 0.480940 0.0450442
\(115\) −3.57032 + 3.20200i −0.332934 + 0.298588i
\(116\) −0.753589 −0.0699690
\(117\) −3.10091 0.910510i −0.286679 0.0841766i
\(118\) 0.334626 0.386179i 0.0308048 0.0355506i
\(119\) 7.21930 + 4.63956i 0.661792 + 0.425308i
\(120\) −0.142315 + 0.989821i −0.0129915 + 0.0903579i
\(121\) −9.21282 + 5.92072i −0.837529 + 0.538247i
\(122\) 1.74740 + 3.82627i 0.158202 + 0.346414i
\(123\) 4.24273 + 4.89637i 0.382554 + 0.441491i
\(124\) −0.0550874 0.383141i −0.00494700 0.0344071i
\(125\) −0.415415 + 0.909632i −0.0371558 + 0.0813600i
\(126\) 2.33268 0.684937i 0.207812 0.0610190i
\(127\) 9.42688 2.76798i 0.836500 0.245619i 0.164693 0.986345i \(-0.447337\pi\)
0.671807 + 0.740726i \(0.265518\pi\)
\(128\) 0.415415 0.909632i 0.0367178 0.0804009i
\(129\) −1.33491 9.28451i −0.117532 0.817456i
\(130\) 2.11639 + 2.44245i 0.185620 + 0.214217i
\(131\) 4.85814 + 10.6378i 0.424458 + 0.929433i 0.994194 + 0.107605i \(0.0343182\pi\)
−0.569736 + 0.821828i \(0.692955\pi\)
\(132\) −0.185647 + 0.119308i −0.0161585 + 0.0103844i
\(133\) −0.166400 + 1.15734i −0.0144287 + 0.100354i
\(134\) −1.34105 0.861844i −0.115850 0.0744520i
\(135\) −0.654861 + 0.755750i −0.0563614 + 0.0650446i
\(136\) 3.38686 + 0.994471i 0.290421 + 0.0852752i
\(137\) 7.92240 0.676856 0.338428 0.940992i \(-0.390105\pi\)
0.338428 + 0.940992i \(0.390105\pi\)
\(138\) 4.75797 + 0.601403i 0.405026 + 0.0511948i
\(139\) 14.7459 1.25073 0.625366 0.780332i \(-0.284950\pi\)
0.625366 + 0.780332i \(0.284950\pi\)
\(140\) −2.33268 0.684937i −0.197147 0.0578877i
\(141\) −2.63054 + 3.03581i −0.221531 + 0.255661i
\(142\) 11.4405 + 7.35239i 0.960069 + 0.616999i
\(143\) −0.101498 + 0.705936i −0.00848771 + 0.0590333i
\(144\) 0.841254 0.540641i 0.0701045 0.0450534i
\(145\) 0.313052 + 0.685489i 0.0259976 + 0.0569267i
\(146\) −3.11876 3.59925i −0.258111 0.297876i
\(147\) −0.155047 1.07838i −0.0127881 0.0889432i
\(148\) 1.15607 2.53143i 0.0950280 0.208082i
\(149\) 18.4341 5.41275i 1.51018 0.443430i 0.581264 0.813715i \(-0.302558\pi\)
0.928918 + 0.370285i \(0.120740\pi\)
\(150\) 0.959493 0.281733i 0.0783423 0.0230034i
\(151\) 4.36792 9.56441i 0.355456 0.778341i −0.644450 0.764647i \(-0.722914\pi\)
0.999906 0.0136944i \(-0.00435918\pi\)
\(152\) 0.0684449 + 0.476045i 0.00555161 + 0.0386123i
\(153\) 2.31155 + 2.66768i 0.186878 + 0.215669i
\(154\) −0.222872 0.488023i −0.0179596 0.0393260i
\(155\) −0.325634 + 0.209272i −0.0261555 + 0.0168091i
\(156\) 0.459936 3.19893i 0.0368244 0.256119i
\(157\) 1.56769 + 1.00750i 0.125116 + 0.0804069i 0.601702 0.798721i \(-0.294490\pi\)
−0.476586 + 0.879128i \(0.658126\pi\)
\(158\) 0.146516 0.169089i 0.0116562 0.0134520i
\(159\) −3.36477 0.987986i −0.266844 0.0783524i
\(160\) −1.00000 −0.0790569
\(161\) −3.09344 + 11.2416i −0.243797 + 0.885960i
\(162\) 1.00000 0.0785674
\(163\) −5.76134 1.69168i −0.451263 0.132503i 0.0482006 0.998838i \(-0.484651\pi\)
−0.499463 + 0.866335i \(0.666469\pi\)
\(164\) −4.24273 + 4.89637i −0.331302 + 0.382342i
\(165\) 0.185647 + 0.119308i 0.0144526 + 0.00928812i
\(166\) −1.46253 + 10.1721i −0.113515 + 0.789512i
\(167\) 14.8123 9.51926i 1.14621 0.736622i 0.177326 0.984152i \(-0.443255\pi\)
0.968880 + 0.247530i \(0.0796188\pi\)
\(168\) 1.00994 + 2.21146i 0.0779185 + 0.170618i
\(169\) 1.67338 + 1.93119i 0.128722 + 0.148553i
\(170\) −0.502349 3.49391i −0.0385284 0.267971i
\(171\) −0.199790 + 0.437478i −0.0152783 + 0.0334548i
\(172\) 9.00003 2.64265i 0.686246 0.201500i
\(173\) 17.2711 5.07124i 1.31310 0.385560i 0.451099 0.892474i \(-0.351032\pi\)
0.861996 + 0.506914i \(0.169214\pi\)
\(174\) 0.313052 0.685489i 0.0237324 0.0519668i
\(175\) 0.345990 + 2.40641i 0.0261544 + 0.181908i
\(176\) −0.144514 0.166778i −0.0108932 0.0125714i
\(177\) 0.212272 + 0.464810i 0.0159553 + 0.0349373i
\(178\) −8.04908 + 5.17283i −0.603304 + 0.387720i
\(179\) −0.415015 + 2.88650i −0.0310197 + 0.215747i −0.999436 0.0335937i \(-0.989305\pi\)
0.968416 + 0.249341i \(0.0802139\pi\)
\(180\) −0.841254 0.540641i −0.0627033 0.0402970i
\(181\) 0.930908 1.07432i 0.0691938 0.0798539i −0.720097 0.693873i \(-0.755903\pi\)
0.789291 + 0.614019i \(0.210448\pi\)
\(182\) 7.53881 + 2.21359i 0.558813 + 0.164082i
\(183\) −4.20639 −0.310945
\(184\) 0.0818484 + 4.79513i 0.00603394 + 0.353502i
\(185\) −2.78292 −0.204604
\(186\) 0.371402 + 0.109053i 0.0272325 + 0.00799618i
\(187\) 0.510111 0.588700i 0.0373030 0.0430500i
\(188\) −3.37927 2.17173i −0.246459 0.158389i
\(189\) −0.345990 + 2.40641i −0.0251671 + 0.175041i
\(190\) 0.404593 0.260016i 0.0293522 0.0188635i
\(191\) 9.88244 + 21.6395i 0.715068 + 1.56578i 0.820689 + 0.571375i \(0.193590\pi\)
−0.105621 + 0.994406i \(0.533683\pi\)
\(192\) 0.654861 + 0.755750i 0.0472605 + 0.0545415i
\(193\) 3.79335 + 26.3833i 0.273051 + 1.89911i 0.415970 + 0.909378i \(0.363442\pi\)
−0.142919 + 0.989734i \(0.545649\pi\)
\(194\) 1.56485 3.42655i 0.112350 0.246012i
\(195\) −3.10091 + 0.910510i −0.222061 + 0.0652029i
\(196\) 1.04534 0.306939i 0.0746669 0.0219242i
\(197\) −0.733542 + 1.60623i −0.0522627 + 0.114439i −0.933962 0.357373i \(-0.883673\pi\)
0.881699 + 0.471812i \(0.156400\pi\)
\(198\) −0.0314059 0.218433i −0.00223192 0.0155233i
\(199\) −5.18726 5.98642i −0.367715 0.424366i 0.541495 0.840704i \(-0.317859\pi\)
−0.909210 + 0.416338i \(0.863313\pi\)
\(200\) 0.415415 + 0.909632i 0.0293743 + 0.0643207i
\(201\) 1.34105 0.861844i 0.0945907 0.0607898i
\(202\) 1.55373 10.8065i 0.109320 0.760339i
\(203\) 1.54126 + 0.990505i 0.108175 + 0.0695198i
\(204\) −2.31155 + 2.66768i −0.161841 + 0.186775i
\(205\) 6.21639 + 1.82530i 0.434171 + 0.127484i
\(206\) −6.26564 −0.436548
\(207\) −2.52359 + 4.07817i −0.175402 + 0.283453i
\(208\) 3.23182 0.224087
\(209\) 0.101834 + 0.0299012i 0.00704402 + 0.00206831i
\(210\) 1.59207 1.83735i 0.109863 0.126789i
\(211\) 15.3172 + 9.84380i 1.05448 + 0.677675i 0.948527 0.316696i \(-0.102573\pi\)
0.105956 + 0.994371i \(0.466210\pi\)
\(212\) 0.499073 3.47113i 0.0342765 0.238398i
\(213\) −11.4405 + 7.35239i −0.783893 + 0.503777i
\(214\) 3.66741 + 8.03051i 0.250699 + 0.548954i
\(215\) −6.14258 7.08892i −0.418921 0.483460i
\(216\) 0.142315 + 0.989821i 0.00968330 + 0.0673488i
\(217\) −0.390929 + 0.856015i −0.0265380 + 0.0581101i
\(218\) −4.69007 + 1.37713i −0.317651 + 0.0932708i
\(219\) 4.56957 1.34175i 0.308783 0.0906669i
\(220\) −0.0916734 + 0.200737i −0.00618062 + 0.0135337i
\(221\) 1.62350 + 11.2917i 0.109209 + 0.759562i
\(222\) 1.82242 + 2.10319i 0.122313 + 0.141157i
\(223\) −2.14963 4.70704i −0.143950 0.315207i 0.823900 0.566736i \(-0.191794\pi\)
−0.967850 + 0.251529i \(0.919067\pi\)
\(224\) −2.04522 + 1.31438i −0.136652 + 0.0878209i
\(225\) −0.142315 + 0.989821i −0.00948766 + 0.0659881i
\(226\) −9.67656 6.21875i −0.643675 0.413665i
\(227\) −1.32753 + 1.53205i −0.0881112 + 0.101686i −0.798093 0.602534i \(-0.794158\pi\)
0.709982 + 0.704220i \(0.248703\pi\)
\(228\) −0.461459 0.135496i −0.0305608 0.00897347i
\(229\) −2.81517 −0.186031 −0.0930157 0.995665i \(-0.529651\pi\)
−0.0930157 + 0.995665i \(0.529651\pi\)
\(230\) 4.32781 2.06642i 0.285367 0.136256i
\(231\) 0.536506 0.0352995
\(232\) 0.723064 + 0.212311i 0.0474714 + 0.0139389i
\(233\) 3.51163 4.05264i 0.230055 0.265497i −0.628972 0.777428i \(-0.716524\pi\)
0.859027 + 0.511930i \(0.171069\pi\)
\(234\) 2.71878 + 1.74726i 0.177732 + 0.114222i
\(235\) −0.571671 + 3.97606i −0.0372917 + 0.259370i
\(236\) −0.429870 + 0.276261i −0.0279822 + 0.0179830i
\(237\) 0.0929434 + 0.203518i 0.00603732 + 0.0132199i
\(238\) −5.61975 6.48554i −0.364275 0.420395i
\(239\) −3.67878 25.5865i −0.237960 1.65505i −0.662072 0.749441i \(-0.730323\pi\)
0.424111 0.905610i \(-0.360587\pi\)
\(240\) 0.415415 0.909632i 0.0268149 0.0587165i
\(241\) −12.7933 + 3.75646i −0.824090 + 0.241975i −0.666476 0.745526i \(-0.732198\pi\)
−0.157614 + 0.987501i \(0.550380\pi\)
\(242\) 10.5077 3.08534i 0.675460 0.198333i
\(243\) −0.415415 + 0.909632i −0.0266489 + 0.0583529i
\(244\) −0.598632 4.16358i −0.0383235 0.266546i
\(245\) −0.713450 0.823365i −0.0455806 0.0526029i
\(246\) −2.69140 5.89335i −0.171598 0.375746i
\(247\) −1.30757 + 0.840325i −0.0831988 + 0.0534686i
\(248\) −0.0550874 + 0.383141i −0.00349805 + 0.0243295i
\(249\) −8.64535 5.55603i −0.547877 0.352099i
\(250\) 0.654861 0.755750i 0.0414170 0.0477978i
\(251\) 1.21626 + 0.357125i 0.0767693 + 0.0225415i 0.319892 0.947454i \(-0.396353\pi\)
−0.243122 + 0.969996i \(0.578172\pi\)
\(252\) −2.43116 −0.153149
\(253\) 0.970062 + 0.423156i 0.0609873 + 0.0266036i
\(254\) −9.82486 −0.616466
\(255\) 3.38686 + 0.994471i 0.212093 + 0.0622762i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) 12.7401 + 8.18758i 0.794707 + 0.510727i 0.873885 0.486133i \(-0.161593\pi\)
−0.0791778 + 0.996861i \(0.525229\pi\)
\(258\) −1.33491 + 9.28451i −0.0831079 + 0.578028i
\(259\) −5.69168 + 3.65782i −0.353664 + 0.227286i
\(260\) −1.34255 2.93977i −0.0832613 0.182317i
\(261\) 0.493496 + 0.569525i 0.0305466 + 0.0352527i
\(262\) −1.66432 11.5756i −0.102822 0.715145i
\(263\) 1.99859 4.37631i 0.123238 0.269855i −0.837950 0.545747i \(-0.816246\pi\)
0.961189 + 0.275892i \(0.0889733\pi\)
\(264\) 0.211740 0.0621724i 0.0130317 0.00382645i
\(265\) −3.36477 + 0.987986i −0.206696 + 0.0606915i
\(266\) 0.485720 1.06358i 0.0297814 0.0652122i
\(267\) −1.36166 9.47057i −0.0833324 0.579590i
\(268\) 1.04392 + 1.20475i 0.0637678 + 0.0735919i
\(269\) −0.289040 0.632908i −0.0176231 0.0385891i 0.900616 0.434616i \(-0.143116\pi\)
−0.918239 + 0.396027i \(0.870389\pi\)
\(270\) 0.841254 0.540641i 0.0511971 0.0329024i
\(271\) 3.14609 21.8816i 0.191112 1.32921i −0.637961 0.770069i \(-0.720222\pi\)
0.829072 0.559141i \(-0.188869\pi\)
\(272\) −2.96949 1.90838i −0.180052 0.115712i
\(273\) −5.14529 + 5.93798i −0.311407 + 0.359383i
\(274\) −7.60149 2.23200i −0.459223 0.134840i
\(275\) 0.220679 0.0133074
\(276\) −4.39581 1.91752i −0.264597 0.115421i
\(277\) −5.46125 −0.328135 −0.164067 0.986449i \(-0.552461\pi\)
−0.164067 + 0.986449i \(0.552461\pi\)
\(278\) −14.1486 4.15440i −0.848576 0.249164i
\(279\) −0.253484 + 0.292537i −0.0151757 + 0.0175137i
\(280\) 2.04522 + 1.31438i 0.122225 + 0.0785494i
\(281\) −1.81762 + 12.6418i −0.108430 + 0.754147i 0.860969 + 0.508657i \(0.169858\pi\)
−0.969399 + 0.245490i \(0.921051\pi\)
\(282\) 3.37927 2.17173i 0.201233 0.129324i
\(283\) −7.49668 16.4154i −0.445632 0.975797i −0.990530 0.137295i \(-0.956159\pi\)
0.544899 0.838502i \(-0.316568\pi\)
\(284\) −8.90571 10.2777i −0.528457 0.609872i
\(285\) 0.0684449 + 0.476045i 0.00405433 + 0.0281985i
\(286\) 0.296272 0.648745i 0.0175189 0.0383611i
\(287\) 15.1130 4.43759i 0.892094 0.261942i
\(288\) −0.959493 + 0.281733i −0.0565387 + 0.0166013i
\(289\) −1.88608 + 4.12994i −0.110946 + 0.242937i
\(290\) −0.107247 0.745919i −0.00629776 0.0438019i
\(291\) 2.46683 + 2.84688i 0.144608 + 0.166887i
\(292\) 1.97841 + 4.33211i 0.115778 + 0.253517i
\(293\) 8.65158 5.56003i 0.505431 0.324821i −0.262955 0.964808i \(-0.584697\pi\)
0.768385 + 0.639988i \(0.221061\pi\)
\(294\) −0.155047 + 1.07838i −0.00904255 + 0.0628923i
\(295\) 0.429870 + 0.276261i 0.0250280 + 0.0160845i
\(296\) −1.82242 + 2.10319i −0.105926 + 0.122245i
\(297\) 0.211740 + 0.0621724i 0.0122864 + 0.00360761i
\(298\) −19.2124 −1.11294
\(299\) −13.9867 + 6.67831i −0.808872 + 0.386217i
\(300\) −1.00000 −0.0577350
\(301\) −21.8805 6.42469i −1.26117 0.370313i
\(302\) −6.88560 + 7.94640i −0.396222 + 0.457264i
\(303\) 9.18445 + 5.90249i 0.527633 + 0.339089i
\(304\) 0.0684449 0.476045i 0.00392558 0.0273030i
\(305\) −3.53864 + 2.27415i −0.202622 + 0.130217i
\(306\) −1.46635 3.21086i −0.0838256 0.183552i
\(307\) −2.06927 2.38807i −0.118100 0.136294i 0.693621 0.720340i \(-0.256014\pi\)
−0.811721 + 0.584046i \(0.801469\pi\)
\(308\) 0.0763527 + 0.531045i 0.00435060 + 0.0302591i
\(309\) 2.60284 5.69943i 0.148070 0.324229i
\(310\) 0.371402 0.109053i 0.0210942 0.00619382i
\(311\) 12.0704 3.54418i 0.684448 0.200972i 0.0790212 0.996873i \(-0.474821\pi\)
0.605427 + 0.795901i \(0.293002\pi\)
\(312\) −1.34255 + 2.93977i −0.0760068 + 0.166432i
\(313\) −2.00293 13.9307i −0.113212 0.787408i −0.964760 0.263131i \(-0.915245\pi\)
0.851548 0.524277i \(-0.175664\pi\)
\(314\) −1.22035 1.40836i −0.0688682 0.0794781i
\(315\) 1.00994 + 2.21146i 0.0569037 + 0.124602i
\(316\) −0.188219 + 0.120961i −0.0105881 + 0.00680458i
\(317\) −3.51808 + 24.4688i −0.197595 + 1.37430i 0.613641 + 0.789585i \(0.289704\pi\)
−0.811236 + 0.584718i \(0.801205\pi\)
\(318\) 2.95013 + 1.89593i 0.165435 + 0.106319i
\(319\) 0.108904 0.125682i 0.00609746 0.00703685i
\(320\) 0.959493 + 0.281733i 0.0536373 + 0.0157493i
\(321\) −8.82830 −0.492748
\(322\) 6.13525 9.91469i 0.341904 0.552524i
\(323\) 1.69764 0.0944593
\(324\) −0.959493 0.281733i −0.0533052 0.0156518i
\(325\) −2.11639 + 2.44245i −0.117396 + 0.135483i
\(326\) 5.05136 + 3.24631i 0.279769 + 0.179797i
\(327\) 0.695644 4.83831i 0.0384692 0.267559i
\(328\) 5.45034 3.50272i 0.300944 0.193405i
\(329\) 4.05687 + 8.88332i 0.223663 + 0.489753i
\(330\) −0.144514 0.166778i −0.00795523 0.00918083i
\(331\) −1.54646 10.7558i −0.0850009 0.591194i −0.987153 0.159776i \(-0.948923\pi\)
0.902152 0.431418i \(-0.141986\pi\)
\(332\) 4.26912 9.34806i 0.234298 0.513041i
\(333\) −2.67019 + 0.784038i −0.146325 + 0.0429650i
\(334\) −16.8941 + 4.96057i −0.924406 + 0.271430i
\(335\) 0.662219 1.45006i 0.0361809 0.0792251i
\(336\) −0.345990 2.40641i −0.0188753 0.131281i
\(337\) −7.10065 8.19459i −0.386797 0.446388i 0.528642 0.848845i \(-0.322702\pi\)
−0.915439 + 0.402458i \(0.868156\pi\)
\(338\) −1.06152 2.32441i −0.0577391 0.126431i
\(339\) 9.67656 6.21875i 0.525559 0.337756i
\(340\) −0.502349 + 3.49391i −0.0272437 + 0.189484i
\(341\) 0.0718605 + 0.0461819i 0.00389146 + 0.00250089i
\(342\) 0.314949 0.363470i 0.0170305 0.0196542i
\(343\) −18.8701 5.54077i −1.01889 0.299174i
\(344\) −9.37998 −0.505735
\(345\) 0.0818484 + 4.79513i 0.00440657 + 0.258161i
\(346\) −18.0002 −0.967697
\(347\) −24.8948 7.30978i −1.33642 0.392410i −0.466032 0.884768i \(-0.654317\pi\)
−0.870393 + 0.492358i \(0.836135\pi\)
\(348\) −0.493496 + 0.569525i −0.0264542 + 0.0305297i
\(349\) 29.6301 + 19.0421i 1.58606 + 1.01930i 0.973445 + 0.228920i \(0.0735196\pi\)
0.612617 + 0.790380i \(0.290117\pi\)
\(350\) 0.345990 2.40641i 0.0184939 0.128628i
\(351\) −2.71878 + 1.74726i −0.145118 + 0.0932616i
\(352\) 0.0916734 + 0.200737i 0.00488621 + 0.0106993i
\(353\) −15.3862 17.7566i −0.818926 0.945091i 0.180332 0.983606i \(-0.442283\pi\)
−0.999258 + 0.0385147i \(0.987737\pi\)
\(354\) −0.0727211 0.505786i −0.00386508 0.0268822i
\(355\) −5.64939 + 12.3704i −0.299839 + 0.656555i
\(356\) 9.18039 2.69561i 0.486560 0.142867i
\(357\) 8.23399 2.41772i 0.435789 0.127959i
\(358\) 1.21142 2.65265i 0.0640258 0.140197i
\(359\) −4.26024 29.6306i −0.224847 1.56384i −0.719337 0.694661i \(-0.755554\pi\)
0.494491 0.869183i \(-0.335355\pi\)
\(360\) 0.654861 + 0.755750i 0.0345142 + 0.0398315i
\(361\) −7.79680 17.0726i −0.410358 0.898558i
\(362\) −1.19587 + 0.768540i −0.0628536 + 0.0403936i
\(363\) −1.55853 + 10.8398i −0.0818017 + 0.568944i
\(364\) −6.60979 4.24785i −0.346447 0.222648i
\(365\) 3.11876 3.59925i 0.163244 0.188393i
\(366\) 4.03600 + 1.18508i 0.210965 + 0.0619450i
\(367\) −27.4743 −1.43415 −0.717073 0.696998i \(-0.754519\pi\)
−0.717073 + 0.696998i \(0.754519\pi\)
\(368\) 1.27241 4.62396i 0.0663291 0.241040i
\(369\) 6.47883 0.337274
\(370\) 2.67019 + 0.784038i 0.138816 + 0.0407602i
\(371\) −5.58311 + 6.44325i −0.289861 + 0.334517i
\(372\) −0.325634 0.209272i −0.0168833 0.0108502i
\(373\) −4.54405 + 31.6045i −0.235282 + 1.63642i 0.439386 + 0.898299i \(0.355196\pi\)
−0.674667 + 0.738122i \(0.735713\pi\)
\(374\) −0.655304 + 0.421138i −0.0338850 + 0.0217765i
\(375\) 0.415415 + 0.909632i 0.0214519 + 0.0469732i
\(376\) 2.63054 + 3.03581i 0.135660 + 0.156560i
\(377\) 0.346603 + 2.41068i 0.0178510 + 0.124156i
\(378\) 1.00994 2.21146i 0.0519457 0.113745i
\(379\) −11.0746 + 3.25178i −0.568861 + 0.167033i −0.553500 0.832849i \(-0.686708\pi\)
−0.0153615 + 0.999882i \(0.504890\pi\)
\(380\) −0.461459 + 0.135496i −0.0236723 + 0.00695082i
\(381\) 4.08139 8.93700i 0.209096 0.457857i
\(382\) −3.38557 23.5472i −0.173221 1.20478i
\(383\) −12.1499 14.0217i −0.620829 0.716474i 0.355036 0.934853i \(-0.384469\pi\)
−0.975864 + 0.218378i \(0.929923\pi\)
\(384\) −0.415415 0.909632i −0.0211991 0.0464195i
\(385\) 0.451337 0.290057i 0.0230023 0.0147827i
\(386\) 3.79335 26.3833i 0.193076 1.34288i
\(387\) −7.89095 5.07120i −0.401119 0.257784i
\(388\) −2.46683 + 2.84688i −0.125235 + 0.144528i
\(389\) 15.6557 + 4.59692i 0.793775 + 0.233073i 0.653388 0.757023i \(-0.273347\pi\)
0.140387 + 0.990097i \(0.455165\pi\)
\(390\) 3.23182 0.163650
\(391\) 16.7949 + 2.12286i 0.849354 + 0.107358i
\(392\) −1.08947 −0.0550264
\(393\) 11.2210 + 3.29477i 0.566022 + 0.166199i
\(394\) 1.15636 1.33451i 0.0582564 0.0672314i
\(395\) 0.188219 + 0.120961i 0.00947032 + 0.00608621i
\(396\) −0.0314059 + 0.218433i −0.00157821 + 0.0109767i
\(397\) −15.1390 + 9.72927i −0.759807 + 0.488298i −0.862276 0.506438i \(-0.830962\pi\)
0.102470 + 0.994736i \(0.467326\pi\)
\(398\) 3.29057 + 7.20534i 0.164941 + 0.361171i
\(399\) 0.765690 + 0.883654i 0.0383325 + 0.0442380i
\(400\) −0.142315 0.989821i −0.00711574 0.0494911i
\(401\) −1.33012 + 2.91255i −0.0664228 + 0.145446i −0.939932 0.341362i \(-0.889112\pi\)
0.873509 + 0.486808i \(0.161839\pi\)
\(402\) −1.52954 + 0.449114i −0.0762866 + 0.0223998i
\(403\) −1.20030 + 0.352441i −0.0597914 + 0.0175563i
\(404\) −4.53533 + 9.93098i −0.225641 + 0.494085i
\(405\) 0.142315 + 0.989821i 0.00707168 + 0.0491846i
\(406\) −1.19977 1.38460i −0.0595434 0.0687168i
\(407\) 0.255119 + 0.558633i 0.0126458 + 0.0276904i
\(408\) 2.96949 1.90838i 0.147012 0.0944787i
\(409\) −0.864260 + 6.01106i −0.0427349 + 0.297228i 0.957234 + 0.289316i \(0.0934277\pi\)
−0.999969 + 0.00791236i \(0.997481\pi\)
\(410\) −5.45034 3.50272i −0.269173 0.172987i
\(411\) 5.18807 5.98735i 0.255909 0.295334i
\(412\) 6.01184 + 1.76523i 0.296182 + 0.0869669i
\(413\) 1.24229 0.0611292
\(414\) 3.57032 3.20200i 0.175472 0.157370i
\(415\) −10.2767 −0.504466
\(416\) −3.10091 0.910510i −0.152035 0.0446414i
\(417\) 9.65651 11.1442i 0.472881 0.545734i
\(418\) −0.0892851 0.0573800i −0.00436707 0.00280655i
\(419\) 0.136923 0.952321i 0.00668913 0.0465239i −0.986203 0.165537i \(-0.947064\pi\)
0.992893 + 0.119014i \(0.0379732\pi\)
\(420\) −2.04522 + 1.31438i −0.0997966 + 0.0641354i
\(421\) −16.1030 35.2606i −0.784812 1.71850i −0.690938 0.722914i \(-0.742802\pi\)
−0.0938742 0.995584i \(-0.529925\pi\)
\(422\) −11.9235 13.7604i −0.580426 0.669847i
\(423\) 0.571671 + 3.97606i 0.0277956 + 0.193323i
\(424\) −1.45679 + 3.18992i −0.0707478 + 0.154916i
\(425\) 3.38686 0.994471i 0.164287 0.0482389i
\(426\) 13.0485 3.83139i 0.632203 0.185632i
\(427\) −4.24820 + 9.30226i −0.205585 + 0.450168i
\(428\) −1.25640 8.73845i −0.0607303 0.422389i
\(429\) 0.467044 + 0.538997i 0.0225491 + 0.0260230i
\(430\) 3.89659 + 8.53233i 0.187910 + 0.411466i
\(431\) 19.3338 12.4251i 0.931275 0.598494i 0.0153668 0.999882i \(-0.495108\pi\)
0.915908 + 0.401388i \(0.131472\pi\)
\(432\) 0.142315 0.989821i 0.00684713 0.0476228i
\(433\) 18.2755 + 11.7449i 0.878262 + 0.564425i 0.900270 0.435333i \(-0.143369\pi\)
−0.0220072 + 0.999758i \(0.507006\pi\)
\(434\) 0.616261 0.711203i 0.0295815 0.0341388i
\(435\) 0.723064 + 0.212311i 0.0346682 + 0.0101795i
\(436\) 4.88807 0.234096
\(437\) 0.687493 + 2.20167i 0.0328873 + 0.105320i
\(438\) −4.76248 −0.227560
\(439\) 26.2243 + 7.70016i 1.25162 + 0.367508i 0.839369 0.543562i \(-0.182925\pi\)
0.412250 + 0.911071i \(0.364743\pi\)
\(440\) 0.144514 0.166778i 0.00688943 0.00795083i
\(441\) −0.916519 0.589011i −0.0436437 0.0280481i
\(442\) 1.62350 11.2917i 0.0772221 0.537091i
\(443\) −15.8350 + 10.1765i −0.752344 + 0.483502i −0.859751 0.510713i \(-0.829381\pi\)
0.107407 + 0.994215i \(0.465745\pi\)
\(444\) −1.15607 2.53143i −0.0548644 0.120136i
\(445\) −6.26568 7.23098i −0.297022 0.342781i
\(446\) 0.736431 + 5.12199i 0.0348710 + 0.242533i
\(447\) 7.98110 17.4762i 0.377493 0.826595i
\(448\) 2.33268 0.684937i 0.110209 0.0323602i
\(449\) −11.4002 + 3.34741i −0.538010 + 0.157974i −0.539439 0.842025i \(-0.681364\pi\)
0.00142826 + 0.999999i \(0.499545\pi\)
\(450\) 0.415415 0.909632i 0.0195829 0.0428805i
\(451\) −0.203473 1.41519i −0.00958119 0.0666386i
\(452\) 7.53257 + 8.69305i 0.354302 + 0.408886i
\(453\) −4.36792 9.56441i −0.205223 0.449375i
\(454\) 1.70538 1.09598i 0.0800376 0.0514370i
\(455\) −1.11818 + 7.77710i −0.0524210 + 0.364596i
\(456\) 0.404593 + 0.260016i 0.0189468 + 0.0121764i
\(457\) −17.8770 + 20.6312i −0.836252 + 0.965086i −0.999770 0.0214545i \(-0.993170\pi\)
0.163518 + 0.986540i \(0.447716\pi\)
\(458\) 2.70113 + 0.793124i 0.126216 + 0.0370602i
\(459\) 3.52984 0.164759
\(460\) −4.73468 + 0.763434i −0.220755 + 0.0355953i
\(461\) 27.9262 1.30065 0.650326 0.759655i \(-0.274632\pi\)
0.650326 + 0.759655i \(0.274632\pi\)
\(462\) −0.514773 0.151151i −0.0239494 0.00703218i
\(463\) −20.2295 + 23.3461i −0.940144 + 1.08498i 0.0561030 + 0.998425i \(0.482132\pi\)
−0.996247 + 0.0865588i \(0.972413\pi\)
\(464\) −0.633960 0.407421i −0.0294308 0.0189140i
\(465\) −0.0550874 + 0.383141i −0.00255462 + 0.0177678i
\(466\) −4.51115 + 2.89914i −0.208975 + 0.134300i
\(467\) −5.56300 12.1813i −0.257425 0.563682i 0.736155 0.676813i \(-0.236639\pi\)
−0.993580 + 0.113131i \(0.963912\pi\)
\(468\) −2.11639 2.44245i −0.0978303 0.112902i
\(469\) −0.551548 3.83610i −0.0254681 0.177135i
\(470\) 1.66870 3.65394i 0.0769714 0.168544i
\(471\) 1.78804 0.525015i 0.0823883 0.0241914i
\(472\) 0.490289 0.143962i 0.0225674 0.00662638i
\(473\) −0.859895 + 1.88291i −0.0395380 + 0.0865761i
\(474\) −0.0318410 0.221459i −0.00146250 0.0101719i
\(475\) 0.314949 + 0.363470i 0.0144508 + 0.0166772i
\(476\) 3.56493 + 7.80610i 0.163398 + 0.357792i
\(477\) −2.95013 + 1.89593i −0.135077 + 0.0868088i
\(478\) −3.67878 + 25.5865i −0.168263 + 1.17030i
\(479\) 0.206640 + 0.132800i 0.00944163 + 0.00606777i 0.545353 0.838206i \(-0.316396\pi\)
−0.535911 + 0.844274i \(0.680032\pi\)
\(480\) −0.654861 + 0.755750i −0.0298902 + 0.0344951i
\(481\) −8.62957 2.53387i −0.393475 0.115535i
\(482\) 13.3334 0.607321
\(483\) 6.47004 + 9.69953i 0.294397 + 0.441344i
\(484\) −10.9513 −0.497786
\(485\) 3.61437 + 1.06128i 0.164120 + 0.0481900i
\(486\) 0.654861 0.755750i 0.0297051 0.0342815i
\(487\) 22.2002 + 14.2672i 1.00599 + 0.646509i 0.936352 0.351063i \(-0.114180\pi\)
0.0696363 + 0.997572i \(0.477816\pi\)
\(488\) −0.598632 + 4.16358i −0.0270988 + 0.188476i
\(489\) −5.05136 + 3.24631i −0.228430 + 0.146803i
\(490\) 0.452581 + 0.991015i 0.0204455 + 0.0447695i
\(491\) −2.71268 3.13060i −0.122421 0.141282i 0.691230 0.722635i \(-0.257069\pi\)
−0.813652 + 0.581353i \(0.802524\pi\)
\(492\) 0.922033 + 6.41288i 0.0415685 + 0.289115i
\(493\) 1.10502 2.41967i 0.0497678 0.108976i
\(494\) 1.49135 0.437900i 0.0670991 0.0197021i
\(495\) 0.211740 0.0621724i 0.00951700 0.00279444i
\(496\) 0.160799 0.352102i 0.00722011 0.0158098i
\(497\) 4.70526 + 32.7258i 0.211060 + 1.46795i
\(498\) 6.72984 + 7.76665i 0.301571 + 0.348032i
\(499\) 6.51401 + 14.2637i 0.291607 + 0.638531i 0.997566 0.0697215i \(-0.0222111\pi\)
−0.705959 + 0.708253i \(0.749484\pi\)
\(500\) −0.841254 + 0.540641i −0.0376220 + 0.0241782i
\(501\) 2.50579 17.4281i 0.111950 0.778632i
\(502\) −1.06637 0.685317i −0.0475946 0.0305872i
\(503\) 26.2144 30.2530i 1.16884 1.34891i 0.243443 0.969915i \(-0.421723\pi\)
0.925397 0.378998i \(-0.123731\pi\)
\(504\) 2.33268 + 0.684937i 0.103906 + 0.0305095i
\(505\) 10.9176 0.485826
\(506\) −0.811551 0.679313i −0.0360778 0.0301992i
\(507\) 2.55532 0.113486
\(508\) 9.42688 + 2.76798i 0.418250 + 0.122809i
\(509\) −19.5729 + 22.5883i −0.867553 + 1.00121i 0.132396 + 0.991197i \(0.457733\pi\)
−0.999950 + 0.0100132i \(0.996813\pi\)
\(510\) −2.96949 1.90838i −0.131491 0.0845043i
\(511\) 1.64777 11.4605i 0.0728931 0.506983i
\(512\) 0.841254 0.540641i 0.0371785 0.0238932i
\(513\) 0.199790 + 0.437478i 0.00882093 + 0.0193151i
\(514\) −9.91735 11.4452i −0.437435 0.504827i
\(515\) −0.891694 6.20187i −0.0392927 0.273287i
\(516\) 3.89659 8.53233i 0.171538 0.375615i
\(517\) 0.850548 0.249743i 0.0374071 0.0109837i
\(518\) 6.49165 1.90612i 0.285227 0.0837501i
\(519\) 7.47756 16.3736i 0.328228 0.718720i
\(520\) 0.459936 + 3.19893i 0.0201695 + 0.140282i
\(521\) −10.8301 12.4986i −0.474474 0.547572i 0.467177 0.884164i \(-0.345271\pi\)
−0.941651 + 0.336592i \(0.890726\pi\)
\(522\) −0.313052 0.685489i −0.0137019 0.0300030i
\(523\) −15.0605 + 9.67881i −0.658551 + 0.423225i −0.826782 0.562523i \(-0.809831\pi\)
0.168231 + 0.985748i \(0.446195\pi\)
\(524\) −1.66432 + 11.5756i −0.0727064 + 0.505684i
\(525\) 2.04522 + 1.31438i 0.0892608 + 0.0573644i
\(526\) −3.15058 + 3.63597i −0.137372 + 0.158536i
\(527\) 1.31099 + 0.384941i 0.0571076 + 0.0167683i
\(528\) −0.220679 −0.00960382
\(529\) 4.04829 + 22.6409i 0.176013 + 0.984388i
\(530\) 3.50682 0.152327
\(531\) 0.490289 + 0.143962i 0.0212767 + 0.00624741i
\(532\) −0.765690 + 0.883654i −0.0331969 + 0.0383112i
\(533\) 17.6145 + 11.3202i 0.762969 + 0.490331i
\(534\) −1.36166 + 9.47057i −0.0589249 + 0.409832i
\(535\) −7.42684 + 4.77294i −0.321090 + 0.206352i
\(536\) −0.662219 1.45006i −0.0286035 0.0626330i
\(537\) 1.90969 + 2.20390i 0.0824092 + 0.0951053i
\(538\) 0.0990205 + 0.688703i 0.00426908 + 0.0296921i
\(539\) −0.0998752 + 0.218696i −0.00430193 + 0.00941991i
\(540\) −0.959493 + 0.281733i −0.0412900 + 0.0121238i
\(541\) 5.64536 1.65763i 0.242713 0.0712670i −0.158113 0.987421i \(-0.550541\pi\)
0.400827 + 0.916154i \(0.368723\pi\)
\(542\) −9.18340 + 20.1088i −0.394461 + 0.863749i
\(543\) −0.202306 1.40707i −0.00868176 0.0603830i
\(544\) 2.31155 + 2.66768i 0.0991070 + 0.114376i
\(545\) −2.03058 4.44634i −0.0869803 0.190460i
\(546\) 6.60979 4.24785i 0.282873 0.181791i
\(547\) −3.21336 + 22.3494i −0.137393 + 0.955592i 0.798170 + 0.602433i \(0.205802\pi\)
−0.935563 + 0.353160i \(0.885107\pi\)
\(548\) 6.66475 + 4.28317i 0.284704 + 0.182968i
\(549\) −2.75460 + 3.17898i −0.117563 + 0.135675i
\(550\) −0.211740 0.0621724i −0.00902862 0.00265104i
\(551\) 0.362431 0.0154401
\(552\) 3.67752 + 3.07829i 0.156526 + 0.131021i
\(553\) 0.543938 0.0231306
\(554\) 5.24003 + 1.53861i 0.222628 + 0.0653693i
\(555\) −1.82242 + 2.10319i −0.0773575 + 0.0892753i
\(556\) 12.4050 + 7.97224i 0.526091 + 0.338098i
\(557\) −1.61437 + 11.2282i −0.0684031 + 0.475754i 0.926611 + 0.376021i \(0.122708\pi\)
−0.995014 + 0.0997332i \(0.968201\pi\)
\(558\) 0.325634 0.209272i 0.0137852 0.00885919i
\(559\) −12.5931 27.5750i −0.532630 1.16630i
\(560\) −1.59207 1.83735i −0.0672772 0.0776421i
\(561\) −0.110858 0.771033i −0.00468042 0.0325530i
\(562\) 5.30560 11.6176i 0.223803 0.490061i
\(563\) −4.46225 + 1.31024i −0.188062 + 0.0552199i −0.374407 0.927264i \(-0.622154\pi\)
0.186346 + 0.982484i \(0.440336\pi\)
\(564\) −3.85423 + 1.13170i −0.162292 + 0.0476534i
\(565\) 4.77833 10.4631i 0.201026 0.440185i
\(566\) 2.56825 + 17.8626i 0.107952 + 0.750820i
\(567\) 1.59207 + 1.83735i 0.0668607 + 0.0771613i
\(568\) 5.64939 + 12.3704i 0.237043 + 0.519052i
\(569\) 24.6514 15.8425i 1.03344 0.664151i 0.0900834 0.995934i \(-0.471287\pi\)
0.943356 + 0.331783i \(0.107650\pi\)
\(570\) 0.0684449 0.476045i 0.00286684 0.0199393i
\(571\) 26.5400 + 17.0562i 1.11066 + 0.713780i 0.961438 0.275023i \(-0.0886853\pi\)
0.149226 + 0.988803i \(0.452322\pi\)
\(572\) −0.467044 + 0.538997i −0.0195281 + 0.0225366i
\(573\) 22.8257 + 6.70223i 0.953557 + 0.279989i
\(574\) −15.7511 −0.657436
\(575\) 2.66130 + 3.98967i 0.110984 + 0.166381i
\(576\) 1.00000 0.0416667
\(577\) −35.2760 10.3580i −1.46856 0.431207i −0.552928 0.833229i \(-0.686489\pi\)
−0.915630 + 0.402022i \(0.868308\pi\)
\(578\) 2.97322 3.43128i 0.123670 0.142722i
\(579\) 22.4233 + 14.4106i 0.931880 + 0.598883i
\(580\) −0.107247 + 0.745919i −0.00445319 + 0.0309726i
\(581\) −21.0182 + 13.5076i −0.871983 + 0.560389i
\(582\) −1.56485 3.42655i −0.0648652 0.142035i
\(583\) 0.506785 + 0.584861i 0.0209889 + 0.0242225i
\(584\) −0.677772 4.71401i −0.0280464 0.195067i
\(585\) −1.34255 + 2.93977i −0.0555075 + 0.121544i
\(586\) −9.86757 + 2.89738i −0.407626 + 0.119690i
\(587\) 2.99135 0.878340i 0.123466 0.0362530i −0.219416 0.975631i \(-0.570415\pi\)
0.342882 + 0.939378i \(0.388597\pi\)
\(588\) 0.452581 0.991015i 0.0186641 0.0408688i
\(589\) 0.0264937 + 0.184268i 0.00109166 + 0.00759263i
\(590\) −0.334626 0.386179i −0.0137763 0.0158987i
\(591\) 0.733542 + 1.60623i 0.0301739 + 0.0660716i
\(592\) 2.34114 1.50456i 0.0962202 0.0618370i
\(593\) 0.878782 6.11206i 0.0360873 0.250992i −0.963790 0.266663i \(-0.914079\pi\)
0.999877 + 0.0156702i \(0.00498817\pi\)
\(594\) −0.185647 0.119308i −0.00761719 0.00489527i
\(595\) 5.61975 6.48554i 0.230387 0.265881i
\(596\) 18.4341 + 5.41275i 0.755091 + 0.221715i
\(597\) −7.92116 −0.324192
\(598\) 15.3016 2.46728i 0.625730 0.100895i
\(599\) 12.4410 0.508324 0.254162 0.967162i \(-0.418200\pi\)
0.254162 + 0.967162i \(0.418200\pi\)
\(600\) 0.959493 + 0.281733i 0.0391711 + 0.0115017i
\(601\) 3.53560 4.08030i 0.144220 0.166439i −0.679044 0.734098i \(-0.737605\pi\)
0.823264 + 0.567659i \(0.192151\pi\)
\(602\) 19.1841 + 12.3289i 0.781887 + 0.502488i
\(603\) 0.226866 1.57789i 0.00923871 0.0642566i
\(604\) 8.84544 5.68462i 0.359916 0.231304i
\(605\) 4.54933 + 9.96165i 0.184957 + 0.404999i
\(606\) −7.14949 8.25095i −0.290428 0.335172i
\(607\) 0.615519 + 4.28103i 0.0249832 + 0.173762i 0.998493 0.0548847i \(-0.0174791\pi\)
−0.973510 + 0.228646i \(0.926570\pi\)
\(608\) −0.199790 + 0.437478i −0.00810254 + 0.0177421i
\(609\) 1.75788 0.516161i 0.0712330 0.0209159i
\(610\) 4.03600 1.18508i 0.163413 0.0479824i
\(611\) −5.39294 + 11.8089i −0.218175 + 0.477737i
\(612\) 0.502349 + 3.49391i 0.0203062 + 0.141233i
\(613\) −6.21419 7.17156i −0.250989 0.289656i 0.616248 0.787552i \(-0.288652\pi\)
−0.867237 + 0.497895i \(0.834106\pi\)
\(614\) 1.31266 + 2.87431i 0.0529745 + 0.115998i
\(615\) 5.45034 3.50272i 0.219779 0.141243i
\(616\) 0.0763527 0.531045i 0.00307634 0.0213964i
\(617\) −15.2900 9.82627i −0.615551 0.395591i 0.195384 0.980727i \(-0.437405\pi\)
−0.810935 + 0.585136i \(0.801041\pi\)
\(618\) −4.10312 + 4.73526i −0.165052 + 0.190480i
\(619\) −12.7592 3.74643i −0.512834 0.150582i 0.0150687 0.999886i \(-0.495203\pi\)
−0.527903 + 0.849305i \(0.677021\pi\)
\(620\) −0.387081 −0.0155456
\(621\) 1.42948 + 4.57784i 0.0573630 + 0.183702i
\(622\) −12.5800 −0.504410
\(623\) −22.3190 6.55344i −0.894191 0.262558i
\(624\) 2.11639 2.44245i 0.0847235 0.0977762i
\(625\) 0.841254 + 0.540641i 0.0336501 + 0.0216256i
\(626\) −2.00293 + 13.9307i −0.0800531 + 0.556782i
\(627\) 0.0892851 0.0573800i 0.00356570 0.00229154i
\(628\) 0.774135 + 1.69512i 0.0308913 + 0.0676426i
\(629\) 6.43286 + 7.42392i 0.256495 + 0.296011i
\(630\) −0.345990 2.40641i −0.0137846 0.0958738i
\(631\) 10.1655 22.2593i 0.404682 0.886129i −0.592092 0.805870i \(-0.701698\pi\)
0.996774 0.0802592i \(-0.0255748\pi\)
\(632\) 0.214673 0.0630338i 0.00853925 0.00250735i
\(633\) 17.4701 5.12969i 0.694375 0.203887i
\(634\) 10.2692 22.4865i 0.407843 0.893052i
\(635\) −1.39822 9.72485i −0.0554868 0.385919i
\(636\) −2.29648 2.65028i −0.0910614 0.105090i
\(637\) −1.46266 3.20278i −0.0579528 0.126899i
\(638\) −0.139902 + 0.0899093i −0.00553875 + 0.00355954i
\(639\) −1.93540 + 13.4610i −0.0765631 + 0.532508i
\(640\) −0.841254 0.540641i −0.0332535 0.0213707i
\(641\) 10.1477 11.7111i 0.400811 0.462561i −0.519085 0.854723i \(-0.673727\pi\)
0.919896 + 0.392162i \(0.128273\pi\)
\(642\) 8.47070 + 2.48722i 0.334312 + 0.0981628i
\(643\) 25.2201 0.994585 0.497293 0.867583i \(-0.334328\pi\)
0.497293 + 0.867583i \(0.334328\pi\)
\(644\) −8.68002 + 7.78457i −0.342041 + 0.306755i
\(645\) −9.37998 −0.369337
\(646\) −1.62888 0.478281i −0.0640872 0.0188177i
\(647\) −26.1607 + 30.1910i −1.02848 + 1.18693i −0.0463137 + 0.998927i \(0.514747\pi\)
−0.982168 + 0.188004i \(0.939798\pi\)
\(648\) 0.841254 + 0.540641i 0.0330476 + 0.0212384i
\(649\) 0.0160480 0.111616i 0.000629940 0.00438133i
\(650\) 2.71878 1.74726i 0.106639 0.0685330i
\(651\) 0.390929 + 0.856015i 0.0153217 + 0.0335499i
\(652\) −3.93215 4.53795i −0.153995 0.177720i
\(653\) 1.08290 + 7.53176i 0.0423773 + 0.294740i 0.999978 + 0.00664158i \(0.00211410\pi\)
−0.957601 + 0.288099i \(0.906977\pi\)
\(654\) −2.03058 + 4.44634i −0.0794018 + 0.173866i
\(655\) 11.2210 3.29477i 0.438439 0.128737i
\(656\) −6.21639 + 1.82530i −0.242709 + 0.0712659i
\(657\) 1.97841 4.33211i 0.0771850 0.169012i
\(658\) −1.38982 9.66643i −0.0541809 0.376837i
\(659\) 9.70837 + 11.2041i 0.378184 + 0.436448i 0.912650 0.408742i \(-0.134032\pi\)
−0.534465 + 0.845190i \(0.679487\pi\)
\(660\) 0.0916734 + 0.200737i 0.00356838 + 0.00781366i
\(661\) 39.5001 25.3852i 1.53638 0.987369i 0.547806 0.836605i \(-0.315463\pi\)
0.988570 0.150764i \(-0.0481732\pi\)
\(662\) −1.54646 + 10.7558i −0.0601047 + 0.418037i
\(663\) 9.59687 + 6.16753i 0.372711 + 0.239527i
\(664\) −6.72984 + 7.76665i −0.261168 + 0.301404i
\(665\) 1.12188 + 0.329413i 0.0435046 + 0.0127741i
\(666\) 2.78292 0.107836
\(667\) 3.58556 + 0.453211i 0.138833 + 0.0175484i
\(668\) 17.6074 0.681249
\(669\) −4.96505 1.45787i −0.191960 0.0563645i
\(670\) −1.04392 + 1.20475i −0.0403303 + 0.0465436i
\(671\) 0.780904 + 0.501856i 0.0301464 + 0.0193739i
\(672\) −0.345990 + 2.40641i −0.0133469 + 0.0928294i
\(673\) −5.70648 + 3.66733i −0.219969 + 0.141365i −0.645985 0.763350i \(-0.723553\pi\)
0.426016 + 0.904716i \(0.359917\pi\)
\(674\) 4.50434 + 9.86313i 0.173501 + 0.379914i
\(675\) 0.654861 + 0.755750i 0.0252056 + 0.0290888i
\(676\) 0.363661 + 2.52932i 0.0139869 + 0.0972814i
\(677\) −14.1673 + 31.0220i −0.544492 + 1.19227i 0.414814 + 0.909906i \(0.363846\pi\)
−0.959307 + 0.282366i \(0.908881\pi\)
\(678\) −11.0366 + 3.24064i −0.423859 + 0.124456i
\(679\) 8.78711 2.58013i 0.337218 0.0990162i
\(680\) 1.46635 3.21086i 0.0562319 0.123131i
\(681\) 0.288500 + 2.00656i 0.0110553 + 0.0768915i
\(682\) −0.0559387 0.0645567i −0.00214200 0.00247200i
\(683\) −19.8830 43.5378i −0.760803 1.66593i −0.745919 0.666037i \(-0.767989\pi\)
−0.0148841 0.999889i \(-0.504738\pi\)
\(684\) −0.404593 + 0.260016i −0.0154700 + 0.00994195i
\(685\) 1.12747 7.84176i 0.0430786 0.299618i
\(686\) 16.5447 + 10.6327i 0.631681 + 0.405957i
\(687\) −1.84354 + 2.12756i −0.0703355 + 0.0811715i
\(688\) 9.00003 + 2.64265i 0.343123 + 0.100750i
\(689\) −11.3334 −0.431769
\(690\) 1.27241 4.62396i 0.0484399 0.176031i
\(691\) 6.54186 0.248864 0.124432 0.992228i \(-0.460289\pi\)
0.124432 + 0.992228i \(0.460289\pi\)
\(692\) 17.2711 + 5.07124i 0.656548 + 0.192780i
\(693\) 0.351336 0.405464i 0.0133462 0.0154023i
\(694\) 21.8270 + 14.0274i 0.828542 + 0.532472i
\(695\) 2.09856 14.5958i 0.0796029 0.553651i
\(696\) 0.633960 0.407421i 0.0240302 0.0154433i
\(697\) −9.50022 20.8026i −0.359846 0.787954i
\(698\) −23.0651 26.6185i −0.873026 1.00753i
\(699\) −0.763151 5.30783i −0.0288650 0.200761i
\(700\) −1.00994 + 2.21146i −0.0381721 + 0.0835853i
\(701\) 18.7119 5.49431i 0.706739 0.207517i 0.0914396 0.995811i \(-0.470853\pi\)
0.615300 + 0.788293i \(0.289035\pi\)
\(702\) 3.10091 0.910510i 0.117036 0.0343650i
\(703\) −0.555998 + 1.21747i −0.0209699 + 0.0459176i
\(704\) −0.0314059 0.218433i −0.00118365 0.00823249i
\(705\) 2.63054 + 3.03581i 0.0990719 + 0.114335i
\(706\) 9.76035 + 21.3722i 0.367336 + 0.804353i
\(707\) 22.3289 14.3499i 0.839763 0.539683i
\(708\) −0.0727211 + 0.505786i −0.00273303 + 0.0190086i
\(709\) −24.6113 15.8167i −0.924297 0.594009i −0.0103955 0.999946i \(-0.503309\pi\)
−0.913901 + 0.405937i \(0.866945\pi\)
\(710\) 8.90571 10.2777i 0.334225 0.385717i
\(711\) 0.214673 + 0.0630338i 0.00805088 + 0.00236395i
\(712\) −9.56796 −0.358574
\(713\) 0.0316820 + 1.85611i 0.00118650 + 0.0695117i
\(714\) −8.58160 −0.321158
\(715\) 0.684306 + 0.200930i 0.0255916 + 0.00751437i
\(716\) −1.90969 + 2.20390i −0.0713685 + 0.0823636i
\(717\) −21.7460 13.9753i −0.812121 0.521918i
\(718\) −4.26024 + 29.6306i −0.158991 + 1.10580i
\(719\) 17.9674 11.5469i 0.670070 0.430628i −0.160881 0.986974i \(-0.551433\pi\)
0.830951 + 0.556346i \(0.187797\pi\)
\(720\) −0.415415 0.909632i −0.0154816 0.0339000i
\(721\) −9.97534 11.5122i −0.371501 0.428735i
\(722\) 2.67106 + 18.5777i 0.0994067 + 0.691389i
\(723\) −5.53890 + 12.1285i −0.205994 + 0.451064i
\(724\) 1.36395 0.400493i 0.0506909 0.0148842i
\(725\) 0.723064 0.212311i 0.0268539 0.00788502i
\(726\) 4.54933 9.96165i 0.168842 0.369712i
\(727\) −3.41736 23.7683i −0.126743 0.881516i −0.949644 0.313331i \(-0.898555\pi\)
0.822901 0.568185i \(-0.192354\pi\)
\(728\) 5.14529 + 5.93798i 0.190697 + 0.220076i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) −4.00646 + 2.57479i −0.148286 + 0.0952974i
\(731\) −4.71202 + 32.7728i −0.174280 + 1.21215i
\(732\) −3.53864 2.27415i −0.130792 0.0840549i
\(733\) 19.9061 22.9728i 0.735247 0.848520i −0.257805 0.966197i \(-0.582999\pi\)
0.993052 + 0.117677i \(0.0375447\pi\)
\(734\) 26.3614 + 7.74041i 0.973017 + 0.285704i
\(735\) −1.08947 −0.0401856
\(736\) −2.52359 + 4.07817i −0.0930207 + 0.150323i
\(737\) −0.351788 −0.0129583
\(738\) −6.21639 1.82530i −0.228828 0.0671901i
\(739\) −20.3015 + 23.4292i −0.746805 + 0.861858i −0.994254 0.107042i \(-0.965862\pi\)
0.247450 + 0.968901i \(0.420407\pi\)
\(740\) −2.34114 1.50456i −0.0860619 0.0553087i
\(741\) −0.221202 + 1.53849i −0.00812605 + 0.0565179i
\(742\) 7.17223 4.60931i 0.263301 0.169213i
\(743\) −9.42898 20.6466i −0.345916 0.757450i −0.999999 0.00102764i \(-0.999673\pi\)
0.654084 0.756422i \(-0.273054\pi\)
\(744\) 0.253484 + 0.292537i 0.00929319 + 0.0107249i
\(745\) −2.73420 19.0168i −0.100173 0.696722i
\(746\) 13.2640 29.0441i 0.485630 1.06338i
\(747\) −9.86047 + 2.89529i −0.360776 + 0.105933i
\(748\) 0.747408 0.219459i 0.0273279 0.00802421i
\(749\) −8.91606 + 19.5234i −0.325786 + 0.713371i
\(750\) −0.142315 0.989821i −0.00519660 0.0361432i
\(751\) 8.73340 + 10.0789i 0.318686 + 0.367784i 0.892379 0.451287i \(-0.149035\pi\)
−0.573693 + 0.819071i \(0.694490\pi\)
\(752\) −1.66870 3.65394i −0.0608512 0.133246i
\(753\) 1.06637 0.685317i 0.0388609 0.0249744i
\(754\) 0.346603 2.41068i 0.0126225 0.0877917i
\(755\) −8.84544 5.68462i −0.321919 0.206885i
\(756\) −1.59207 + 1.83735i −0.0579030 + 0.0668237i
\(757\) 25.6368 + 7.52763i 0.931784 + 0.273596i 0.712183 0.701993i \(-0.247706\pi\)
0.219600 + 0.975590i \(0.429525\pi\)
\(758\) 11.5421 0.419227
\(759\) 0.955056 0.456016i 0.0346663 0.0165523i
\(760\) 0.480940 0.0174455
\(761\) −38.2141 11.2207i −1.38526 0.406749i −0.497663 0.867371i \(-0.665808\pi\)
−0.887596 + 0.460622i \(0.847626\pi\)
\(762\) −6.43391 + 7.42513i −0.233076 + 0.268984i
\(763\) −9.99717 6.42479i −0.361922 0.232593i
\(764\) −3.38557 + 23.5472i −0.122486 + 0.851907i
\(765\) 2.96949 1.90838i 0.107362 0.0689975i
\(766\) 7.70734 + 16.8767i 0.278477 + 0.609780i
\(767\) 1.08145 + 1.24806i 0.0390489 + 0.0450648i
\(768\) 0.142315 + 0.989821i 0.00513534 + 0.0357171i
\(769\) 5.80490 12.7110i 0.209330 0.458369i −0.775622 0.631198i \(-0.782564\pi\)
0.984952 + 0.172829i \(0.0552909\pi\)
\(770\) −0.514773 + 0.151151i −0.0185511 + 0.00544711i
\(771\) 14.5308 4.26662i 0.523313 0.153658i
\(772\) −11.0727 + 24.2459i −0.398516 + 0.872629i
\(773\) −2.25892 15.7111i −0.0812478 0.565091i −0.989262 0.146152i \(-0.953311\pi\)
0.908014 0.418939i \(-0.137598\pi\)
\(774\) 6.14258 + 7.08892i 0.220791 + 0.254806i
\(775\) 0.160799 + 0.352102i 0.00577608 + 0.0126479i
\(776\) 3.16897 2.03657i 0.113759 0.0731087i
\(777\) −0.962861 + 6.69685i −0.0345424 + 0.240248i
\(778\) −13.7264 8.82143i −0.492116 0.316264i
\(779\) 2.04050 2.35486i 0.0731084 0.0843716i
\(780\) −3.10091 0.910510i −0.111030 0.0326015i
\(781\) 3.00110 0.107388
\(782\) −15.5165 6.76853i −0.554869 0.242042i
\(783\) 0.753589 0.0269311
\(784\) 1.04534 + 0.306939i 0.0373335 + 0.0109621i
\(785\) 1.22035 1.40836i 0.0435561 0.0502664i
\(786\) −9.83818 6.32262i −0.350916 0.225520i
\(787\) −5.66341 + 39.3899i −0.201879 + 1.40410i 0.596824 + 0.802372i \(0.296429\pi\)
−0.798703 + 0.601726i \(0.794480\pi\)
\(788\) −1.48549 + 0.954666i −0.0529184 + 0.0340086i
\(789\) −1.99859 4.37631i −0.0711518 0.155801i
\(790\) −0.146516 0.169089i −0.00521281 0.00601590i
\(791\) −3.97977 27.6799i −0.141504 0.984183i
\(792\) 0.0916734 0.200737i 0.00325747 0.00713287i
\(793\) −13.0436 + 3.82996i −0.463193 + 0.136006i
\(794\) 17.2669 5.07001i 0.612778 0.179928i
\(795\) −1.45679 + 3.18992i −0.0516669 + 0.113135i
\(796\) −1.12730 7.84054i −0.0399561 0.277900i
\(797\) −24.5269 28.3055i −0.868787 1.00263i −0.999936 0.0112711i \(-0.996412\pi\)
0.131149 0.991363i \(-0.458133\pi\)
\(798\) −0.485720 1.06358i −0.0171943 0.0376503i
\(799\) 11.9283 7.66584i 0.421992 0.271198i
\(800\) −0.142315 + 0.989821i −0.00503159 + 0.0349955i
\(801\) −8.04908 5.17283i −0.284400 0.182773i
\(802\) 2.09680 2.41983i 0.0740404 0.0854472i
\(803\) −1.00841 0.296095i −0.0355859 0.0104490i
\(804\) 1.59412 0.0562201
\(805\) 10.6869 + 4.66179i 0.376664 + 0.164307i
\(806\) 1.25098 0.0440638
\(807\) −0.667601 0.196025i −0.0235007 0.00690042i
\(808\) 7.14949 8.25095i 0.251518 0.290268i
\(809\) −7.60733 4.88893i −0.267459 0.171886i 0.400036 0.916499i \(-0.368997\pi\)
−0.667496 + 0.744613i \(0.732634\pi\)
\(810\) 0.142315 0.989821i 0.00500043 0.0347788i
\(811\) 44.1155 28.3513i 1.54911 0.995549i 0.563572 0.826067i \(-0.309427\pi\)
0.985533 0.169482i \(-0.0542096\pi\)
\(812\) 0.761080 + 1.66653i 0.0267087 + 0.0584838i
\(813\) −14.4767 16.7070i −0.507721 0.585941i
\(814\) −0.0874000 0.607880i −0.00306337 0.0213062i
\(815\) −2.49439 + 5.46194i −0.0873745 + 0.191324i
\(816\) −3.38686 + 0.994471i −0.118564 + 0.0348134i
\(817\) −4.32847 + 1.27095i −0.151434 + 0.0444651i
\(818\) 2.52276 5.52408i 0.0882064 0.193145i
\(819\) 1.11818 + 7.77710i 0.0390723 + 0.271754i
\(820\) 4.24273 + 4.89637i 0.148163 + 0.170989i
\(821\) 5.22859 + 11.4490i 0.182479 + 0.399573i 0.978660 0.205485i \(-0.0658771\pi\)
−0.796181 + 0.605058i \(0.793150\pi\)
\(822\) −6.66475 + 4.28317i −0.232460 + 0.149393i
\(823\) −1.60817 + 11.1851i −0.0560574 + 0.389888i 0.942406 + 0.334471i \(0.108558\pi\)
−0.998463 + 0.0554165i \(0.982351\pi\)
\(824\) −5.27099 3.38746i −0.183624 0.118008i
\(825\) 0.144514 0.166778i 0.00503133 0.00580647i
\(826\) −1.19197 0.349994i −0.0414739 0.0121778i
\(827\) −40.7771 −1.41796 −0.708979 0.705229i \(-0.750844\pi\)
−0.708979 + 0.705229i \(0.750844\pi\)
\(828\) −4.32781 + 2.06642i −0.150402 + 0.0718131i
\(829\) −25.6051 −0.889302 −0.444651 0.895704i \(-0.646672\pi\)
−0.444651 + 0.895704i \(0.646672\pi\)
\(830\) 9.86047 + 2.89529i 0.342262 + 0.100497i
\(831\) −3.57636 + 4.12734i −0.124062 + 0.143176i
\(832\) 2.71878 + 1.74726i 0.0942568 + 0.0605752i
\(833\) −0.547293 + 3.80650i −0.0189626 + 0.131888i
\(834\) −12.4050 + 7.97224i −0.429551 + 0.276056i
\(835\) −7.31436 16.0162i −0.253124 0.554264i
\(836\) 0.0695026 + 0.0802102i 0.00240380 + 0.00277413i
\(837\) 0.0550874 + 0.383141i 0.00190410 + 0.0132433i
\(838\) −0.399677 + 0.875169i −0.0138066 + 0.0302322i
\(839\) −4.75936 + 1.39747i −0.164311 + 0.0482462i −0.362854 0.931846i \(-0.618197\pi\)
0.198542 + 0.980092i \(0.436379\pi\)
\(840\) 2.33268 0.684937i 0.0804851 0.0236326i
\(841\) −11.8111 + 25.8628i −0.407280 + 0.891819i
\(842\) 5.51664 + 38.3691i 0.190116 + 1.32229i
\(843\) 8.36375 + 9.65228i 0.288063 + 0.332442i
\(844\) 7.56373 + 16.5623i 0.260354 + 0.570096i
\(845\) 2.14968 1.38151i 0.0739511 0.0475255i
\(846\) 0.571671 3.97606i 0.0196545 0.136700i
\(847\) 22.3978 + 14.3942i 0.769598 + 0.494591i
\(848\) 2.29648 2.65028i 0.0788615 0.0910110i
\(849\) −17.3153 5.08422i −0.594258 0.174490i
\(850\) −3.52984 −0.121073
\(851\) −7.02294 + 11.3492i −0.240743 + 0.389046i
\(852\) −13.5994 −0.465908
\(853\) 24.9866 + 7.33674i 0.855526 + 0.251205i 0.679948 0.733260i \(-0.262002\pi\)
0.175578 + 0.984466i \(0.443821\pi\)
\(854\) 6.69687 7.72860i 0.229162 0.264467i
\(855\) 0.404593 + 0.260016i 0.0138368 + 0.00889235i
\(856\) −1.25640 + 8.73845i −0.0429428 + 0.298674i
\(857\) 4.11605 2.64523i 0.140602 0.0903592i −0.468449 0.883491i \(-0.655187\pi\)
0.609051 + 0.793131i \(0.291551\pi\)
\(858\) −0.296272 0.648745i −0.0101146 0.0221478i
\(859\) 15.8835 + 18.3305i 0.541938 + 0.625430i 0.958986 0.283455i \(-0.0914806\pi\)
−0.417048 + 0.908885i \(0.636935\pi\)
\(860\) −1.33491 9.28451i −0.0455201 0.316599i
\(861\) 6.54323 14.3277i 0.222993 0.488286i
\(862\) −22.0512 + 6.47481i −0.751066 + 0.220533i
\(863\) −34.7836 + 10.2134i −1.18405 + 0.347668i −0.813733 0.581239i \(-0.802568\pi\)
−0.370314 + 0.928907i \(0.620750\pi\)
\(864\) −0.415415 + 0.909632i −0.0141327 + 0.0309463i
\(865\) −2.56170 17.8170i −0.0871003 0.605796i
\(866\) −14.2262 16.4180i −0.483427 0.557905i
\(867\) 1.88608 + 4.12994i 0.0640546 + 0.140260i
\(868\) −0.791667 + 0.508773i −0.0268709 + 0.0172689i
\(869\) 0.00702664 0.0488713i 0.000238362 0.00165785i
\(870\) −0.633960 0.407421i −0.0214932 0.0138129i
\(871\) 3.37377 3.89354i 0.114316 0.131928i
\(872\) −4.69007 1.37713i −0.158826 0.0466354i
\(873\) 3.76696 0.127492
\(874\) −0.0393642 2.30617i −0.00133151 0.0780074i
\(875\) 2.43116 0.0821882
\(876\) 4.56957 + 1.34175i 0.154391 + 0.0453334i
\(877\) −30.6526 + 35.3750i −1.03507 + 1.19453i −0.0544649 + 0.998516i \(0.517345\pi\)
−0.980601 + 0.196014i \(0.937200\pi\)
\(878\) −22.9927 14.7765i −0.775965 0.498682i
\(879\) 1.46359 10.1795i 0.0493656 0.343345i
\(880\) −0.185647 + 0.119308i −0.00625816 + 0.00402187i
\(881\) 5.31107 + 11.6296i 0.178934 + 0.391812i 0.977753 0.209761i \(-0.0672684\pi\)
−0.798818 + 0.601572i \(0.794541\pi\)
\(882\) 0.713450 + 0.823365i 0.0240231 + 0.0277241i
\(883\) 4.93326 + 34.3116i 0.166017 + 1.15468i 0.887016 + 0.461739i \(0.152774\pi\)
−0.720999 + 0.692937i \(0.756317\pi\)
\(884\) −4.73898 + 10.3769i −0.159389 + 0.349013i
\(885\) 0.490289 0.143962i 0.0164809 0.00483922i
\(886\) 18.0606 5.30308i 0.606759 0.178161i
\(887\) −10.4908 + 22.9717i −0.352248 + 0.771315i 0.647708 + 0.761889i \(0.275728\pi\)
−0.999956 + 0.00942613i \(0.997000\pi\)
\(888\) 0.396050 + 2.75459i 0.0132906 + 0.0924380i
\(889\) −15.6419 18.0517i −0.524611 0.605434i
\(890\) 3.97467 + 8.70332i 0.133231 + 0.291736i
\(891\) 0.185647 0.119308i 0.00621941 0.00399697i
\(892\) 0.736431 5.12199i 0.0246575 0.171497i
\(893\) 1.62523 + 1.04447i 0.0543861 + 0.0349518i
\(894\) −12.5814 + 14.5197i −0.420786 + 0.485613i
\(895\) 2.79805 + 0.821582i 0.0935286 + 0.0274625i
\(896\) −2.43116 −0.0812193
\(897\) −4.11221 + 14.9438i −0.137303 + 0.498959i
\(898\) 11.8815 0.396492
\(899\) 0.279884 + 0.0821815i 0.00933467 + 0.00274091i
\(900\) −0.654861 + 0.755750i −0.0218287 + 0.0251917i
\(901\) 10.4135 + 6.69234i 0.346923 + 0.222954i
\(902\) −0.203473 + 1.41519i −0.00677492 + 0.0471206i
\(903\) −19.1841 + 12.3289i −0.638408 + 0.410280i
\(904\) −4.77833 10.4631i −0.158925 0.347997i
\(905\) −0.930908 1.07432i −0.0309444 0.0357118i
\(906\) 1.49638 + 10.4076i 0.0497140 + 0.345768i
\(907\) −16.5436 + 36.2254i −0.549321 + 1.20285i 0.407777 + 0.913082i \(0.366304\pi\)
−0.957098 + 0.289764i \(0.906423\pi\)
\(908\) −1.94508 + 0.571126i −0.0645496 + 0.0189535i
\(909\) 10.4753 3.07584i 0.347445 0.102019i
\(910\) 3.26395 7.14704i 0.108199 0.236922i
\(911\) 4.56214 + 31.7304i 0.151150 + 1.05127i 0.914296 + 0.405047i \(0.132745\pi\)
−0.763145 + 0.646227i \(0.776346\pi\)
\(912\) −0.314949 0.363470i −0.0104290 0.0120357i
\(913\) 0.942104 + 2.06292i 0.0311791 + 0.0682727i
\(914\) 22.9653 14.7589i 0.759626 0.488182i
\(915\) −0.598632 + 4.16358i −0.0197902 + 0.137644i
\(916\) −2.36827 1.52199i −0.0782498 0.0502881i
\(917\) 18.6187 21.4872i 0.614845 0.709569i
\(918\) −3.38686 0.994471i −0.111783 0.0328224i
\(919\) −58.4701 −1.92875 −0.964375 0.264538i \(-0.914781\pi\)
−0.964375 + 0.264538i \(0.914781\pi\)
\(920\) 4.75797 + 0.601403i 0.156866 + 0.0198277i
\(921\) −3.15986 −0.104121
\(922\) −26.7950 7.86771i −0.882445 0.259109i
\(923\) −28.7817 + 33.2158i −0.947361 + 1.09331i
\(924\) 0.451337 + 0.290057i 0.0148479 + 0.00954217i
\(925\) −0.396050 + 2.75459i −0.0130221 + 0.0905704i
\(926\) 25.9874 16.7011i 0.853999 0.548832i
\(927\) −2.60284 5.69943i −0.0854885 0.187194i
\(928\) 0.493496 + 0.569525i 0.0161998 + 0.0186956i
\(929\) −0.995251 6.92212i −0.0326531 0.227107i 0.966960 0.254929i \(-0.0820521\pi\)
−0.999613 + 0.0278215i \(0.991143\pi\)
\(930\) 0.160799 0.352102i 0.00527282 0.0115459i
\(931\) −0.502744 + 0.147619i −0.0164768 + 0.00483802i
\(932\) 5.14520 1.51077i 0.168537 0.0494868i
\(933\) 5.22590 11.4431i 0.171088 0.374631i
\(934\) 1.90580 + 13.2551i 0.0623597 + 0.433721i
\(935\) −0.510111 0.588700i −0.0166824 0.0192525i
\(936\) 1.34255 + 2.93977i 0.0438825 + 0.0960894i
\(937\) 45.7463 29.3994i 1.49447 0.960436i 0.498872 0.866675i \(-0.333748\pi\)
0.995595 0.0937603i \(-0.0298887\pi\)
\(938\) −0.551548 + 3.83610i −0.0180087 + 0.125253i
\(939\) −11.8397 7.60894i −0.386375 0.248308i
\(940\) −2.63054 + 3.03581i −0.0857988 + 0.0990171i
\(941\) −43.7592 12.8488i −1.42651 0.418860i −0.524807 0.851221i \(-0.675862\pi\)
−0.901701 + 0.432361i \(0.857681\pi\)
\(942\) −1.86352 −0.0607168
\(943\) 23.1315 20.7452i 0.753265 0.675557i
\(944\) −0.510987 −0.0166312
\(945\) 2.33268 + 0.684937i 0.0758821 + 0.0222810i
\(946\) 1.35554 1.56438i 0.0440724 0.0508622i
\(947\) −23.7645 15.2725i −0.772243 0.496291i 0.0942079 0.995553i \(-0.469968\pi\)
−0.866451 + 0.499262i \(0.833605\pi\)
\(948\) −0.0318410 + 0.221459i −0.00103415 + 0.00719265i
\(949\) 12.9482 8.32127i 0.420315 0.270120i
\(950\) −0.199790 0.437478i −0.00648203 0.0141937i
\(951\) 16.1884 + 18.6824i 0.524945 + 0.605819i
\(952\) −1.22129 8.49425i −0.0395822 0.275300i
\(953\) 20.3211 44.4970i 0.658265 1.44140i −0.225864 0.974159i \(-0.572521\pi\)
0.884130 0.467241i \(-0.154752\pi\)
\(954\) 3.36477 0.987986i 0.108939 0.0319872i
\(955\) 22.8257 6.70223i 0.738622 0.216879i
\(956\) 10.7383 23.5136i 0.347301 0.760484i
\(957\) −0.0236671 0.164609i −0.000765050 0.00532104i
\(958\) −0.160856 0.185637i −0.00519702 0.00599768i
\(959\) −8.00115 17.5201i −0.258370 0.565752i
\(960\) 0.841254 0.540641i 0.0271513 0.0174491i
\(961\) 4.39044 30.5362i 0.141627 0.985037i
\(962\) 7.56614 + 4.86246i 0.243942 + 0.156772i
\(963\) −5.78131 + 6.67199i −0.186300 + 0.215002i
\(964\) −12.7933 3.75646i −0.412045 0.120987i
\(965\) 26.6546 0.858043
\(966\) −3.47529 11.1294i −0.111816 0.358084i
\(967\) 17.9263 0.576472 0.288236 0.957559i \(-0.406931\pi\)
0.288236 + 0.957559i \(0.406931\pi\)
\(968\) 10.5077 + 3.08534i 0.337730 + 0.0991665i
\(969\) 1.11172 1.28299i 0.0357136 0.0412156i
\(970\) −3.16897 2.03657i −0.101749 0.0653904i
\(971\) −5.39276 + 37.5075i −0.173062 + 1.20367i 0.699306 + 0.714823i \(0.253493\pi\)
−0.872368 + 0.488850i \(0.837416\pi\)
\(972\) −0.841254 + 0.540641i −0.0269832 + 0.0173411i
\(973\) −14.8925 32.6100i −0.477431 1.04543i
\(974\) −17.2814 19.9438i −0.553732 0.639041i
\(975\) 0.459936 + 3.19893i 0.0147297 + 0.102448i
\(976\) 1.74740 3.82627i 0.0559328 0.122476i
\(977\) 42.6818 12.5325i 1.36551 0.400950i 0.484809 0.874620i \(-0.338889\pi\)
0.880703 + 0.473670i \(0.157071\pi\)
\(978\) 5.76134 1.69168i 0.184227 0.0540940i
\(979\) −0.877127 + 1.92064i −0.0280331 + 0.0613839i
\(980\) −0.155047 1.07838i −0.00495281 0.0344475i
\(981\) −3.20100 3.69415i −0.102200 0.117945i
\(982\) 1.72080 + 3.76803i 0.0549131 + 0.120243i
\(983\) −6.66908 + 4.28596i −0.212711 + 0.136701i −0.642658 0.766153i \(-0.722168\pi\)
0.429947 + 0.902854i \(0.358532\pi\)
\(984\) 0.922033 6.41288i 0.0293933 0.204435i
\(985\) 1.48549 + 0.954666i 0.0473316 + 0.0304182i
\(986\) −1.74196 + 2.01033i −0.0554754 + 0.0640220i
\(987\) 9.37025 + 2.75135i 0.298258 + 0.0875765i
\(988\) −1.55431 −0.0494493
\(989\) −44.4112 + 7.16100i −1.41219 + 0.227706i
\(990\) −0.220679 −0.00701364
\(991\) −19.9664 5.86266i −0.634253 0.186233i −0.0512269 0.998687i \(-0.516313\pi\)
−0.583026 + 0.812454i \(0.698131\pi\)
\(992\) −0.253484 + 0.292537i −0.00804814 + 0.00928804i
\(993\) −9.14143 5.87484i −0.290095 0.186432i
\(994\) 4.70526 32.7258i 0.149242 1.03800i
\(995\) −6.66371 + 4.28250i −0.211254 + 0.135765i
\(996\) −4.26912 9.34806i −0.135272 0.296205i
\(997\) 16.5419 + 19.0903i 0.523886 + 0.604596i 0.954600 0.297892i \(-0.0962836\pi\)
−0.430714 + 0.902489i \(0.641738\pi\)
\(998\) −2.23160 15.5211i −0.0706401 0.491313i
\(999\) −1.15607 + 2.53143i −0.0365763 + 0.0800909i
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 690.2.m.d.271.1 20
23.9 even 11 inner 690.2.m.d.331.1 yes 20
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
690.2.m.d.271.1 20 1.1 even 1 trivial
690.2.m.d.331.1 yes 20 23.9 even 11 inner