Properties

Label 378.2.z.a.41.1
Level $378$
Weight $2$
Character 378.41
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
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] = [378,2,Mod(41,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([17, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.z (of order \(18\), degree \(6\), 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: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 41.1
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(-1.71625 + 0.233448i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.0848896 - 0.0712308i) q^{5} +(1.64964 - 0.527925i) q^{6} +(-1.74235 - 1.99104i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(2.89100 - 0.801309i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(-1.71625 + 0.233448i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.0848896 - 0.0712308i) q^{5} +(1.64964 - 0.527925i) q^{6} +(-1.74235 - 1.99104i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(2.89100 - 0.801309i) q^{9} +(0.0959690 + 0.0554077i) q^{10} +(3.36170 + 4.00632i) q^{11} +(-1.53290 + 0.806360i) q^{12} +(-3.05494 - 0.538668i) q^{13} +(2.06162 + 1.65823i) q^{14} +(0.162320 + 0.102432i) q^{15} +(0.766044 - 0.642788i) q^{16} +(0.286983 - 0.497069i) q^{17} +(-2.70794 + 1.29115i) q^{18} +(-7.21933 + 4.16808i) q^{19} +(-0.104133 - 0.0379011i) q^{20} +(3.45510 + 3.01036i) q^{21} +(-4.00632 - 3.36170i) q^{22} +(1.79468 + 4.93085i) q^{23} +(1.36959 - 1.06030i) q^{24} +(-0.866108 - 4.91195i) q^{25} +3.10207 q^{26} +(-4.77461 + 2.05014i) q^{27} +(-2.31825 - 1.27504i) q^{28} +(-8.47148 + 1.49375i) q^{29} +(-0.177641 - 0.0726896i) q^{30} +(2.29466 + 6.30454i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(-6.70477 - 6.09105i) q^{33} +(-0.196308 + 0.539351i) q^{34} +(0.00608391 + 0.293127i) q^{35} +(2.44259 - 1.74177i) q^{36} +(-0.699352 + 1.21131i) q^{37} +(6.38587 - 5.35839i) q^{38} +(5.36878 + 0.211318i) q^{39} +(0.109132 + 0.0192429i) q^{40} +(-0.875429 + 4.96481i) q^{41} +(-3.92535 - 2.36466i) q^{42} +(-5.33369 + 4.47550i) q^{43} +(4.52921 + 2.61494i) q^{44} +(-0.302494 - 0.137906i) q^{45} +(-2.62365 - 4.54429i) q^{46} +(-7.79301 - 2.83642i) q^{47} +(-1.16466 + 1.28201i) q^{48} +(-0.928455 + 6.93815i) q^{49} +(1.70590 + 4.68692i) q^{50} +(-0.376493 + 0.920088i) q^{51} +(-3.05494 + 0.538668i) q^{52} +6.95222i q^{53} +(4.34607 - 2.84810i) q^{54} -0.579551i q^{55} +(2.50444 + 0.853115i) q^{56} +(11.4171 - 8.83880i) q^{57} +(8.08339 - 2.94211i) q^{58} +(10.2351 + 8.58825i) q^{59} +(0.187565 + 0.0407382i) q^{60} +(4.38186 - 12.0391i) q^{61} +(-3.35458 - 5.81030i) q^{62} +(-6.63257 - 4.35994i) q^{63} +(0.500000 - 0.866025i) q^{64} +(0.220963 + 0.263333i) q^{65} +(7.66061 + 4.83424i) q^{66} +(-0.0706818 + 0.400857i) q^{67} +(0.0996681 - 0.565246i) q^{68} +(-4.23121 - 8.04359i) q^{69} +(-0.0568925 - 0.287617i) q^{70} +(-6.50408 - 3.75513i) q^{71} +(-2.10303 + 2.13946i) q^{72} +(12.2644 - 7.08086i) q^{73} +(0.478385 - 1.31435i) q^{74} +(2.63314 + 8.22792i) q^{75} +(-5.35839 + 6.38587i) q^{76} +(2.11948 - 13.6737i) q^{77} +(-5.32391 + 0.724171i) q^{78} +(-1.16950 - 6.63255i) q^{79} -0.110815 q^{80} +(7.71581 - 4.63317i) q^{81} -5.04140i q^{82} +(-1.04808 - 5.94396i) q^{83} +(4.27634 + 1.64710i) q^{84} +(-0.0597685 + 0.0217539i) q^{85} +(4.47550 - 5.33369i) q^{86} +(14.1904 - 4.54129i) q^{87} +(-4.91448 - 1.78872i) q^{88} +(3.86050 + 6.68658i) q^{89} +(0.321846 + 0.0832832i) q^{90} +(4.25026 + 7.02104i) q^{91} +(3.37290 + 4.01966i) q^{92} +(-5.40999 - 10.2845i) q^{93} +(8.16716 + 1.44009i) q^{94} +(0.909742 + 0.160412i) q^{95} +(0.924350 - 1.46478i) q^{96} +(5.16157 + 6.15132i) q^{97} +(-0.290448 - 6.99397i) q^{98} +(12.9290 + 8.88852i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 24 q^{21} - 60 q^{23} + 12 q^{29} - 72 q^{30} + 54 q^{35} - 12 q^{36} + 48 q^{39} + 24 q^{42} + 18 q^{49} - 60 q^{50} - 36 q^{51} + 6 q^{56} - 60 q^{57} - 36 q^{60} - 78 q^{63} + 72 q^{64} - 120 q^{65} + 36 q^{70} - 72 q^{71} - 24 q^{72} - 36 q^{74} + 66 q^{77} - 60 q^{78} - 72 q^{79} + 12 q^{84} - 72 q^{85} - 48 q^{86} - 18 q^{91} + 12 q^{92} + 24 q^{93} - 120 q^{95} + 36 q^{98} + 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 + 0.173648i −0.696364 + 0.122788i
\(3\) −1.71625 + 0.233448i −0.990875 + 0.134781i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) −0.0848896 0.0712308i −0.0379638 0.0318554i 0.623608 0.781737i \(-0.285666\pi\)
−0.661572 + 0.749882i \(0.730110\pi\)
\(6\) 1.64964 0.527925i 0.673461 0.215524i
\(7\) −1.74235 1.99104i −0.658545 0.752541i
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) 2.89100 0.801309i 0.963668 0.267103i
\(10\) 0.0959690 + 0.0554077i 0.0303481 + 0.0175215i
\(11\) 3.36170 + 4.00632i 1.01359 + 1.20795i 0.978005 + 0.208584i \(0.0668854\pi\)
0.0355861 + 0.999367i \(0.488670\pi\)
\(12\) −1.53290 + 0.806360i −0.442510 + 0.232776i
\(13\) −3.05494 0.538668i −0.847288 0.149400i −0.266884 0.963729i \(-0.585994\pi\)
−0.580404 + 0.814329i \(0.697105\pi\)
\(14\) 2.06162 + 1.65823i 0.550990 + 0.443181i
\(15\) 0.162320 + 0.102432i 0.0419109 + 0.0264479i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 0.286983 0.497069i 0.0696036 0.120557i −0.829123 0.559066i \(-0.811160\pi\)
0.898727 + 0.438509i \(0.144493\pi\)
\(18\) −2.70794 + 1.29115i −0.638267 + 0.304328i
\(19\) −7.21933 + 4.16808i −1.65623 + 0.956224i −0.681796 + 0.731542i \(0.738801\pi\)
−0.974432 + 0.224682i \(0.927866\pi\)
\(20\) −0.104133 0.0379011i −0.0232847 0.00847495i
\(21\) 3.45510 + 3.01036i 0.753965 + 0.656915i
\(22\) −4.00632 3.36170i −0.854150 0.716717i
\(23\) 1.79468 + 4.93085i 0.374217 + 1.02815i 0.973714 + 0.227776i \(0.0731453\pi\)
−0.599497 + 0.800377i \(0.704632\pi\)
\(24\) 1.36959 1.06030i 0.279566 0.216432i
\(25\) −0.866108 4.91195i −0.173222 0.982389i
\(26\) 3.10207 0.608365
\(27\) −4.77461 + 2.05014i −0.918874 + 0.394550i
\(28\) −2.31825 1.27504i −0.438107 0.240961i
\(29\) −8.47148 + 1.49375i −1.57311 + 0.277383i −0.891048 0.453908i \(-0.850029\pi\)
−0.682066 + 0.731291i \(0.738918\pi\)
\(30\) −0.177641 0.0726896i −0.0324327 0.0132712i
\(31\) 2.29466 + 6.30454i 0.412134 + 1.13233i 0.956054 + 0.293192i \(0.0947174\pi\)
−0.543920 + 0.839137i \(0.683060\pi\)
\(32\) −0.642788 + 0.766044i −0.113630 + 0.135419i
\(33\) −6.70477 6.09105i −1.16715 1.06032i
\(34\) −0.196308 + 0.539351i −0.0336665 + 0.0924980i
\(35\) 0.00608391 + 0.293127i 0.00102837 + 0.0495475i
\(36\) 2.44259 1.74177i 0.407099 0.290294i
\(37\) −0.699352 + 1.21131i −0.114973 + 0.199139i −0.917769 0.397115i \(-0.870011\pi\)
0.802796 + 0.596254i \(0.203345\pi\)
\(38\) 6.38587 5.35839i 1.03593 0.869245i
\(39\) 5.36878 + 0.211318i 0.859693 + 0.0338379i
\(40\) 0.109132 + 0.0192429i 0.0172553 + 0.00304257i
\(41\) −0.875429 + 4.96481i −0.136719 + 0.775373i 0.836928 + 0.547313i \(0.184349\pi\)
−0.973647 + 0.228060i \(0.926762\pi\)
\(42\) −3.92535 2.36466i −0.605695 0.364874i
\(43\) −5.33369 + 4.47550i −0.813381 + 0.682507i −0.951412 0.307921i \(-0.900367\pi\)
0.138032 + 0.990428i \(0.455922\pi\)
\(44\) 4.52921 + 2.61494i 0.682804 + 0.394217i
\(45\) −0.302494 0.137906i −0.0450931 0.0205578i
\(46\) −2.62365 4.54429i −0.386836 0.670020i
\(47\) −7.79301 2.83642i −1.13673 0.413735i −0.295997 0.955189i \(-0.595652\pi\)
−0.840731 + 0.541454i \(0.817874\pi\)
\(48\) −1.16466 + 1.28201i −0.168105 + 0.185043i
\(49\) −0.928455 + 6.93815i −0.132636 + 0.991165i
\(50\) 1.70590 + 4.68692i 0.241251 + 0.662831i
\(51\) −0.376493 + 0.920088i −0.0527196 + 0.128838i
\(52\) −3.05494 + 0.538668i −0.423644 + 0.0746998i
\(53\) 6.95222i 0.954961i 0.878642 + 0.477480i \(0.158450\pi\)
−0.878642 + 0.477480i \(0.841550\pi\)
\(54\) 4.34607 2.84810i 0.591425 0.387577i
\(55\) 0.579551i 0.0781467i
\(56\) 2.50444 + 0.853115i 0.334669 + 0.114002i
\(57\) 11.4171 8.83880i 1.51223 1.17073i
\(58\) 8.08339 2.94211i 1.06140 0.386319i
\(59\) 10.2351 + 8.58825i 1.33249 + 1.11809i 0.983488 + 0.180974i \(0.0579248\pi\)
0.349005 + 0.937121i \(0.386520\pi\)
\(60\) 0.187565 + 0.0407382i 0.0242145 + 0.00525927i
\(61\) 4.38186 12.0391i 0.561040 1.54145i −0.257075 0.966391i \(-0.582759\pi\)
0.818115 0.575054i \(-0.195019\pi\)
\(62\) −3.35458 5.81030i −0.426032 0.737908i
\(63\) −6.63257 4.35994i −0.835625 0.549301i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 0.220963 + 0.263333i 0.0274071 + 0.0326625i
\(66\) 7.66061 + 4.83424i 0.942956 + 0.595054i
\(67\) −0.0706818 + 0.400857i −0.00863516 + 0.0489724i −0.988821 0.149108i \(-0.952360\pi\)
0.980186 + 0.198081i \(0.0634708\pi\)
\(68\) 0.0996681 0.565246i 0.0120865 0.0685461i
\(69\) −4.23121 8.04359i −0.509378 0.968334i
\(70\) −0.0568925 0.287617i −0.00679995 0.0343769i
\(71\) −6.50408 3.75513i −0.771893 0.445653i 0.0616566 0.998097i \(-0.480362\pi\)
−0.833549 + 0.552445i \(0.813695\pi\)
\(72\) −2.10303 + 2.13946i −0.247844 + 0.252137i
\(73\) 12.2644 7.08086i 1.43544 0.828752i 0.437912 0.899018i \(-0.355718\pi\)
0.997528 + 0.0702659i \(0.0223848\pi\)
\(74\) 0.478385 1.31435i 0.0556111 0.152790i
\(75\) 2.63314 + 8.22792i 0.304049 + 0.950078i
\(76\) −5.35839 + 6.38587i −0.614649 + 0.732510i
\(77\) 2.11948 13.6737i 0.241537 1.55826i
\(78\) −5.32391 + 0.724171i −0.602814 + 0.0819963i
\(79\) −1.16950 6.63255i −0.131579 0.746220i −0.977181 0.212407i \(-0.931870\pi\)
0.845602 0.533813i \(-0.179241\pi\)
\(80\) −0.110815 −0.0123895
\(81\) 7.71581 4.63317i 0.857312 0.514797i
\(82\) 5.04140i 0.556729i
\(83\) −1.04808 5.94396i −0.115042 0.652434i −0.986730 0.162372i \(-0.948085\pi\)
0.871688 0.490061i \(-0.163026\pi\)
\(84\) 4.27634 + 1.64710i 0.466587 + 0.179714i
\(85\) −0.0597685 + 0.0217539i −0.00648280 + 0.00235955i
\(86\) 4.47550 5.33369i 0.482606 0.575147i
\(87\) 14.1904 4.54129i 1.52137 0.486878i
\(88\) −4.91448 1.78872i −0.523885 0.190679i
\(89\) 3.86050 + 6.68658i 0.409212 + 0.708776i 0.994802 0.101832i \(-0.0324703\pi\)
−0.585590 + 0.810608i \(0.699137\pi\)
\(90\) 0.321846 + 0.0832832i 0.0339255 + 0.00877882i
\(91\) 4.25026 + 7.02104i 0.445548 + 0.736005i
\(92\) 3.37290 + 4.01966i 0.351649 + 0.419079i
\(93\) −5.40999 10.2845i −0.560990 1.06645i
\(94\) 8.16716 + 1.44009i 0.842378 + 0.148534i
\(95\) 0.909742 + 0.160412i 0.0933376 + 0.0164579i
\(96\) 0.924350 1.46478i 0.0943411 0.149498i
\(97\) 5.16157 + 6.15132i 0.524078 + 0.624571i 0.961540 0.274665i \(-0.0885671\pi\)
−0.437462 + 0.899237i \(0.644123\pi\)
\(98\) −0.290448 6.99397i −0.0293397 0.706498i
\(99\) 12.9290 + 8.88852i 1.29941 + 0.893330i
\(100\) −2.49386 4.31949i −0.249386 0.431949i
\(101\) 2.55350 + 0.929399i 0.254083 + 0.0924787i 0.465922 0.884826i \(-0.345723\pi\)
−0.211839 + 0.977305i \(0.567945\pi\)
\(102\) 0.211002 0.971487i 0.0208923 0.0961916i
\(103\) −8.01929 + 9.55702i −0.790164 + 0.941681i −0.999345 0.0361962i \(-0.988476\pi\)
0.209181 + 0.977877i \(0.432920\pi\)
\(104\) 2.91499 1.06097i 0.285838 0.104037i
\(105\) −0.0788714 0.501658i −0.00769707 0.0489568i
\(106\) −1.20724 6.84660i −0.117258 0.665001i
\(107\) 1.58705i 0.153426i −0.997053 0.0767131i \(-0.975557\pi\)
0.997053 0.0767131i \(-0.0244426\pi\)
\(108\) −3.78548 + 3.55952i −0.364258 + 0.342515i
\(109\) −7.69237 −0.736796 −0.368398 0.929668i \(-0.620094\pi\)
−0.368398 + 0.929668i \(0.620094\pi\)
\(110\) 0.100638 + 0.570747i 0.00959546 + 0.0544186i
\(111\) 0.917482 2.24217i 0.0870835 0.212818i
\(112\) −2.61453 0.405264i −0.247050 0.0382938i
\(113\) 2.64963 3.15771i 0.249256 0.297052i −0.626880 0.779116i \(-0.715668\pi\)
0.876136 + 0.482064i \(0.160113\pi\)
\(114\) −9.70883 + 10.6871i −0.909315 + 1.00094i
\(115\) 0.198879 0.546414i 0.0185455 0.0509534i
\(116\) −7.44969 + 4.30108i −0.691687 + 0.399346i
\(117\) −9.26348 + 0.890658i −0.856409 + 0.0823413i
\(118\) −11.5709 6.68047i −1.06519 0.614987i
\(119\) −1.48971 + 0.294673i −0.136561 + 0.0270126i
\(120\) −0.191790 0.00754893i −0.0175079 0.000689120i
\(121\) −2.83943 + 16.1032i −0.258130 + 1.46393i
\(122\) −2.22473 + 12.6171i −0.201418 + 1.14230i
\(123\) 0.343428 8.72520i 0.0309659 0.786725i
\(124\) 4.31256 + 5.13951i 0.387279 + 0.461541i
\(125\) −0.553397 + 0.958512i −0.0494973 + 0.0857319i
\(126\) 7.28890 + 3.14197i 0.649347 + 0.279909i
\(127\) −3.05268 5.28739i −0.270881 0.469180i 0.698207 0.715896i \(-0.253982\pi\)
−0.969088 + 0.246716i \(0.920648\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) 8.10913 8.92620i 0.713969 0.785908i
\(130\) −0.263333 0.220963i −0.0230958 0.0193797i
\(131\) −10.0238 + 3.64838i −0.875787 + 0.318760i −0.740508 0.672047i \(-0.765415\pi\)
−0.135278 + 0.990808i \(0.543193\pi\)
\(132\) −8.38369 3.43054i −0.729706 0.298591i
\(133\) 20.8774 + 7.11171i 1.81030 + 0.616663i
\(134\) 0.407040i 0.0351629i
\(135\) 0.551348 + 0.166064i 0.0474525 + 0.0142925i
\(136\) 0.573966i 0.0492171i
\(137\) −15.9503 + 2.81246i −1.36272 + 0.240285i −0.806739 0.590908i \(-0.798770\pi\)
−0.555984 + 0.831193i \(0.687658\pi\)
\(138\) 5.56369 + 7.18664i 0.473612 + 0.611768i
\(139\) −3.67414 10.0946i −0.311636 0.856214i −0.992327 0.123643i \(-0.960542\pi\)
0.680690 0.732571i \(-0.261680\pi\)
\(140\) 0.105972 + 0.273369i 0.00895630 + 0.0231039i
\(141\) 14.0369 + 3.04874i 1.18212 + 0.256750i
\(142\) 7.05734 + 2.56866i 0.592239 + 0.215557i
\(143\) −8.11171 14.0499i −0.678336 1.17491i
\(144\) 1.69957 2.47214i 0.141631 0.206012i
\(145\) 0.825542 + 0.476627i 0.0685575 + 0.0395817i
\(146\) −10.8485 + 9.10298i −0.897829 + 0.753368i
\(147\) −0.0262404 12.1243i −0.00216427 0.999998i
\(148\) −0.242882 + 1.37745i −0.0199648 + 0.113226i
\(149\) −5.73431 1.01111i −0.469773 0.0828337i −0.0662499 0.997803i \(-0.521103\pi\)
−0.403523 + 0.914969i \(0.632215\pi\)
\(150\) −4.02190 7.64568i −0.328387 0.624267i
\(151\) 6.45781 5.41874i 0.525529 0.440971i −0.341025 0.940054i \(-0.610774\pi\)
0.866554 + 0.499083i \(0.166330\pi\)
\(152\) 4.16808 7.21933i 0.338076 0.585565i
\(153\) 0.431363 1.66699i 0.0348736 0.134768i
\(154\) 0.287127 + 13.8340i 0.0231374 + 1.11477i
\(155\) 0.254284 0.698641i 0.0204246 0.0561162i
\(156\) 5.11728 1.63766i 0.409710 0.131117i
\(157\) −6.81686 + 8.12401i −0.544044 + 0.648367i −0.966089 0.258208i \(-0.916868\pi\)
0.422045 + 0.906575i \(0.361312\pi\)
\(158\) 2.30346 + 6.32871i 0.183254 + 0.503485i
\(159\) −1.62298 11.9317i −0.128711 0.946247i
\(160\) 0.109132 0.0192429i 0.00862764 0.00152129i
\(161\) 6.69054 12.1645i 0.527289 0.958699i
\(162\) −6.79405 + 5.90262i −0.533791 + 0.463754i
\(163\) 8.63779 0.676564 0.338282 0.941045i \(-0.390154\pi\)
0.338282 + 0.941045i \(0.390154\pi\)
\(164\) 0.875429 + 4.96481i 0.0683596 + 0.387686i
\(165\) 0.135295 + 0.994653i 0.0105327 + 0.0774336i
\(166\) 2.06431 + 5.67166i 0.160222 + 0.440206i
\(167\) 10.3973 + 8.72440i 0.804570 + 0.675115i 0.949305 0.314356i \(-0.101788\pi\)
−0.144735 + 0.989470i \(0.546233\pi\)
\(168\) −4.49739 0.879500i −0.346981 0.0678549i
\(169\) −3.17351 1.15506i −0.244116 0.0888511i
\(170\) 0.0550829 0.0318021i 0.00422467 0.00243911i
\(171\) −17.5312 + 17.8349i −1.34064 + 1.36387i
\(172\) −3.48132 + 6.02982i −0.265448 + 0.459770i
\(173\) 2.45499 2.05998i 0.186650 0.156618i −0.544675 0.838647i \(-0.683347\pi\)
0.731324 + 0.682030i \(0.238903\pi\)
\(174\) −13.1863 + 6.93645i −0.999648 + 0.525851i
\(175\) −8.27080 + 10.2828i −0.625214 + 0.777304i
\(176\) 5.15042 + 0.908159i 0.388228 + 0.0684550i
\(177\) −19.5708 12.3502i −1.47103 0.928297i
\(178\) −4.96296 5.91463i −0.371990 0.443320i
\(179\) −0.703065 0.405915i −0.0525495 0.0303395i 0.473495 0.880796i \(-0.342992\pi\)
−0.526045 + 0.850457i \(0.676326\pi\)
\(180\) −0.331418 0.0261300i −0.0247024 0.00194762i
\(181\) −4.75951 + 2.74791i −0.353772 + 0.204250i −0.666345 0.745643i \(-0.732142\pi\)
0.312573 + 0.949894i \(0.398809\pi\)
\(182\) −5.40488 6.17633i −0.400636 0.457820i
\(183\) −4.70986 + 21.6850i −0.348163 + 1.60300i
\(184\) −4.01966 3.37290i −0.296334 0.248653i
\(185\) 0.145651 0.0530125i 0.0107084 0.00389755i
\(186\) 7.11368 + 9.18878i 0.521600 + 0.673754i
\(187\) 2.95617 0.521252i 0.216176 0.0381177i
\(188\) −8.29315 −0.604840
\(189\) 12.4009 + 5.93437i 0.902036 + 0.431662i
\(190\) −0.923776 −0.0670178
\(191\) 6.95169 1.22577i 0.503007 0.0886936i 0.0836133 0.996498i \(-0.473354\pi\)
0.419393 + 0.907805i \(0.362243\pi\)
\(192\) −0.655951 + 1.60304i −0.0473392 + 0.115689i
\(193\) 11.5296 4.19645i 0.829922 0.302067i 0.108095 0.994141i \(-0.465525\pi\)
0.721827 + 0.692074i \(0.243303\pi\)
\(194\) −6.15132 5.16157i −0.441639 0.370579i
\(195\) −0.440701 0.400361i −0.0315593 0.0286705i
\(196\) 1.50053 + 6.83728i 0.107180 + 0.488377i
\(197\) 2.77971 1.60486i 0.198046 0.114342i −0.397698 0.917516i \(-0.630191\pi\)
0.595744 + 0.803175i \(0.296857\pi\)
\(198\) −14.2760 6.50839i −1.01455 0.462531i
\(199\) −12.4562 7.19157i −0.882994 0.509797i −0.0113494 0.999936i \(-0.503613\pi\)
−0.871644 + 0.490139i \(0.836946\pi\)
\(200\) 3.20604 + 3.82082i 0.226702 + 0.270172i
\(201\) 0.0277283 0.704469i 0.00195580 0.0496894i
\(202\) −2.67610 0.471868i −0.188290 0.0332005i
\(203\) 17.7344 + 14.2644i 1.24471 + 1.00116i
\(204\) −0.0390995 + 0.993368i −0.00273751 + 0.0695497i
\(205\) 0.427962 0.359103i 0.0298902 0.0250808i
\(206\) 6.23790 10.8044i 0.434615 0.752775i
\(207\) 9.13957 + 12.8170i 0.635244 + 0.890844i
\(208\) −2.68647 + 1.55103i −0.186273 + 0.107545i
\(209\) −40.9679 14.9111i −2.83381 1.03142i
\(210\) 0.164785 + 0.480341i 0.0113713 + 0.0331467i
\(211\) 6.08994 + 5.11007i 0.419249 + 0.351792i 0.827877 0.560909i \(-0.189548\pi\)
−0.408628 + 0.912701i \(0.633993\pi\)
\(212\) 2.37780 + 6.53295i 0.163308 + 0.448685i
\(213\) 12.0392 + 4.92637i 0.824915 + 0.337549i
\(214\) 0.275589 + 1.56294i 0.0188389 + 0.106841i
\(215\) 0.771569 0.0526205
\(216\) 3.10986 4.16278i 0.211599 0.283241i
\(217\) 8.55447 15.5535i 0.580715 1.05584i
\(218\) 7.57551 1.33577i 0.513078 0.0904695i
\(219\) −19.3957 + 15.0156i −1.31064 + 1.01466i
\(220\) −0.198218 0.544600i −0.0133639 0.0367169i
\(221\) −1.14447 + 1.36393i −0.0769854 + 0.0917476i
\(222\) −0.514194 + 2.36743i −0.0345104 + 0.158891i
\(223\) 1.18771 3.26322i 0.0795352 0.218521i −0.893551 0.448961i \(-0.851794\pi\)
0.973087 + 0.230440i \(0.0740165\pi\)
\(224\) 2.64518 0.0549013i 0.176739 0.00366825i
\(225\) −6.43991 13.5064i −0.429327 0.900429i
\(226\) −2.06105 + 3.56984i −0.137099 + 0.237462i
\(227\) −11.6163 + 9.74722i −0.771000 + 0.646946i −0.940965 0.338504i \(-0.890079\pi\)
0.169965 + 0.985450i \(0.445635\pi\)
\(228\) 7.70554 12.2106i 0.510312 0.808669i
\(229\) 7.85437 + 1.38494i 0.519031 + 0.0915192i 0.427026 0.904239i \(-0.359561\pi\)
0.0920052 + 0.995759i \(0.470672\pi\)
\(230\) −0.100973 + 0.572648i −0.00665798 + 0.0377593i
\(231\) −0.445459 + 23.9622i −0.0293091 + 1.57659i
\(232\) 6.58964 5.52937i 0.432631 0.363021i
\(233\) −10.5142 6.07035i −0.688805 0.397682i 0.114359 0.993439i \(-0.463519\pi\)
−0.803164 + 0.595758i \(0.796852\pi\)
\(234\) 8.96809 2.48571i 0.586262 0.162496i
\(235\) 0.459505 + 0.795886i 0.0299748 + 0.0519179i
\(236\) 12.5552 + 4.56971i 0.817272 + 0.297463i
\(237\) 3.55550 + 11.1101i 0.230955 + 0.721677i
\(238\) 1.41590 0.548881i 0.0917794 0.0355787i
\(239\) −8.71213 23.9364i −0.563541 1.54832i −0.814407 0.580294i \(-0.802938\pi\)
0.250866 0.968022i \(-0.419285\pi\)
\(240\) 0.190187 0.0258697i 0.0122765 0.00166988i
\(241\) 11.2237 1.97904i 0.722982 0.127481i 0.199964 0.979803i \(-0.435917\pi\)
0.523018 + 0.852322i \(0.324806\pi\)
\(242\) 16.3516i 1.05112i
\(243\) −12.1606 + 9.75291i −0.780104 + 0.625649i
\(244\) 12.8117i 0.820186i
\(245\) 0.573027 0.522842i 0.0366093 0.0334032i
\(246\) 1.17690 + 8.65228i 0.0750367 + 0.551649i
\(247\) 24.2998 8.84442i 1.54616 0.562757i
\(248\) −5.13951 4.31256i −0.326359 0.273848i
\(249\) 3.18637 + 9.95662i 0.201928 + 0.630975i
\(250\) 0.378546 1.04005i 0.0239413 0.0657783i
\(251\) 3.14706 + 5.45087i 0.198641 + 0.344056i 0.948088 0.318008i \(-0.103014\pi\)
−0.749447 + 0.662064i \(0.769681\pi\)
\(252\) −7.72376 1.82853i −0.486551 0.115187i
\(253\) −13.7214 + 23.7661i −0.862655 + 1.49416i
\(254\) 3.92444 + 4.67697i 0.246242 + 0.293459i
\(255\) 0.0974990 0.0512880i 0.00610563 0.00321178i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 1.00824 5.71799i 0.0628921 0.356679i −0.937079 0.349116i \(-0.886482\pi\)
0.999971 0.00756212i \(-0.00240712\pi\)
\(258\) −6.43592 + 10.1987i −0.400683 + 0.634945i
\(259\) 3.63028 0.718092i 0.225575 0.0446201i
\(260\) 0.297702 + 0.171879i 0.0184627 + 0.0106595i
\(261\) −23.2941 + 11.1067i −1.44187 + 0.687488i
\(262\) 9.23802 5.33357i 0.570727 0.329509i
\(263\) −4.44200 + 12.2043i −0.273906 + 0.752549i 0.724116 + 0.689678i \(0.242248\pi\)
−0.998022 + 0.0628712i \(0.979974\pi\)
\(264\) 8.85203 + 1.92261i 0.544805 + 0.118329i
\(265\) 0.495212 0.590171i 0.0304207 0.0362539i
\(266\) −21.7952 3.37835i −1.33635 0.207140i
\(267\) −8.18654 10.5746i −0.501008 0.647155i
\(268\) 0.0706818 + 0.400857i 0.00431758 + 0.0244862i
\(269\) 4.79165 0.292152 0.146076 0.989273i \(-0.453336\pi\)
0.146076 + 0.989273i \(0.453336\pi\)
\(270\) −0.571809 0.0678003i −0.0347992 0.00412619i
\(271\) 0.902646i 0.0548318i −0.999624 0.0274159i \(-0.991272\pi\)
0.999624 0.0274159i \(-0.00872785\pi\)
\(272\) −0.0996681 0.565246i −0.00604326 0.0342731i
\(273\) −8.93353 11.0576i −0.540682 0.669238i
\(274\) 15.2196 5.53947i 0.919447 0.334651i
\(275\) 16.7672 19.9824i 1.01110 1.20498i
\(276\) −6.72711 6.11134i −0.404924 0.367859i
\(277\) −15.6495 5.69594i −0.940285 0.342236i −0.174007 0.984744i \(-0.555671\pi\)
−0.766278 + 0.642509i \(0.777894\pi\)
\(278\) 5.37123 + 9.30324i 0.322145 + 0.557972i
\(279\) 11.6858 + 16.3877i 0.699609 + 0.981107i
\(280\) −0.151832 0.250814i −0.00907372 0.0149890i
\(281\) 0.926358 + 1.10399i 0.0552619 + 0.0658585i 0.792967 0.609264i \(-0.208535\pi\)
−0.737705 + 0.675123i \(0.764091\pi\)
\(282\) −14.3530 0.564943i −0.854711 0.0336419i
\(283\) 7.34081 + 1.29438i 0.436366 + 0.0769430i 0.387516 0.921863i \(-0.373333\pi\)
0.0488499 + 0.998806i \(0.484444\pi\)
\(284\) −7.39617 1.30414i −0.438882 0.0773867i
\(285\) −1.59879 0.0629292i −0.0947041 0.00372760i
\(286\) 10.4282 + 12.4279i 0.616633 + 0.734875i
\(287\) 11.4104 6.90740i 0.673535 0.407731i
\(288\) −1.24446 + 2.72971i −0.0733307 + 0.160850i
\(289\) 8.33528 + 14.4371i 0.490311 + 0.849243i
\(290\) −0.895765 0.326032i −0.0526011 0.0191452i
\(291\) −10.2945 9.35222i −0.603476 0.548237i
\(292\) 9.10298 10.8485i 0.532711 0.634861i
\(293\) 19.2103 6.99198i 1.12228 0.408476i 0.286795 0.957992i \(-0.407410\pi\)
0.835483 + 0.549517i \(0.185188\pi\)
\(294\) 2.13121 + 11.9356i 0.124295 + 0.696097i
\(295\) −0.257103 1.45811i −0.0149691 0.0848942i
\(296\) 1.39870i 0.0812980i
\(297\) −24.2643 12.2366i −1.40796 0.710042i
\(298\) 5.82277 0.337304
\(299\) −2.82655 16.0302i −0.163464 0.927049i
\(300\) 5.28846 + 6.83113i 0.305329 + 0.394395i
\(301\) 18.2040 + 2.82171i 1.04926 + 0.162640i
\(302\) −5.41874 + 6.45781i −0.311814 + 0.371605i
\(303\) −4.59941 0.998968i −0.264229 0.0573892i
\(304\) −2.85114 + 7.83343i −0.163524 + 0.449278i
\(305\) −1.22953 + 0.709868i −0.0704026 + 0.0406469i
\(306\) −0.135340 + 1.71657i −0.00773686 + 0.0981298i
\(307\) 0.486924 + 0.281126i 0.0277902 + 0.0160447i 0.513831 0.857892i \(-0.328226\pi\)
−0.486041 + 0.873936i \(0.661559\pi\)
\(308\) −2.68501 13.5739i −0.152993 0.773447i
\(309\) 11.5320 18.2743i 0.656033 1.03959i
\(310\) −0.129104 + 0.732183i −0.00733259 + 0.0415852i
\(311\) 1.78245 10.1088i 0.101073 0.573215i −0.891643 0.452739i \(-0.850447\pi\)
0.992716 0.120476i \(-0.0384421\pi\)
\(312\) −4.75516 + 2.50138i −0.269208 + 0.141613i
\(313\) −12.1355 14.4625i −0.685936 0.817467i 0.304921 0.952377i \(-0.401370\pi\)
−0.990858 + 0.134910i \(0.956925\pi\)
\(314\) 5.30257 9.18432i 0.299241 0.518301i
\(315\) 0.252474 + 0.842557i 0.0142253 + 0.0474727i
\(316\) −3.36744 5.83257i −0.189433 0.328108i
\(317\) 1.91149 5.25178i 0.107360 0.294969i −0.874367 0.485266i \(-0.838723\pi\)
0.981727 + 0.190297i \(0.0609450\pi\)
\(318\) 3.67025 + 11.4686i 0.205817 + 0.643129i
\(319\) −34.4630 28.9179i −1.92956 1.61909i
\(320\) −0.104133 + 0.0379011i −0.00582118 + 0.00211874i
\(321\) 0.370494 + 2.72377i 0.0206790 + 0.152026i
\(322\) −4.47655 + 13.1415i −0.249468 + 0.732348i
\(323\) 4.78467i 0.266226i
\(324\) 5.66585 6.99272i 0.314769 0.388485i
\(325\) 15.4722i 0.858245i
\(326\) −8.50656 + 1.49994i −0.471135 + 0.0830738i
\(327\) 13.2020 1.79577i 0.730073 0.0993063i
\(328\) −1.72426 4.73736i −0.0952063 0.261577i
\(329\) 7.93070 + 20.4582i 0.437234 + 1.12790i
\(330\) −0.305959 0.956048i −0.0168425 0.0526287i
\(331\) 17.4775 + 6.36129i 0.960650 + 0.349648i 0.774288 0.632833i \(-0.218108\pi\)
0.186362 + 0.982481i \(0.440330\pi\)
\(332\) −3.01783 5.22703i −0.165625 0.286870i
\(333\) −1.05119 + 4.06231i −0.0576051 + 0.222613i
\(334\) −11.7544 6.78638i −0.643170 0.371334i
\(335\) 0.0345535 0.0289938i 0.00188786 0.00158410i
\(336\) 4.58178 + 0.0851758i 0.249957 + 0.00464672i
\(337\) −4.92361 + 27.9232i −0.268206 + 1.52107i 0.491541 + 0.870855i \(0.336434\pi\)
−0.759747 + 0.650219i \(0.774677\pi\)
\(338\) 3.32588 + 0.586442i 0.180904 + 0.0318982i
\(339\) −3.81026 + 6.03795i −0.206945 + 0.327937i
\(340\) −0.0487237 + 0.0408840i −0.00264241 + 0.00221725i
\(341\) −17.5440 + 30.3871i −0.950062 + 1.64556i
\(342\) 14.1679 20.6082i 0.766111 1.11436i
\(343\) 15.4318 10.2401i 0.833239 0.552912i
\(344\) 2.38136 6.54274i 0.128395 0.352761i
\(345\) −0.213765 + 0.984210i −0.0115087 + 0.0529881i
\(346\) −2.05998 + 2.45499i −0.110745 + 0.131981i
\(347\) 10.6589 + 29.2850i 0.572199 + 1.57210i 0.801022 + 0.598635i \(0.204290\pi\)
−0.228823 + 0.973468i \(0.573488\pi\)
\(348\) 11.7814 9.12084i 0.631551 0.488928i
\(349\) 8.70853 1.53555i 0.466157 0.0821961i 0.0643639 0.997926i \(-0.479498\pi\)
0.401793 + 0.915730i \(0.368387\pi\)
\(350\) 6.35957 11.5628i 0.339933 0.618055i
\(351\) 15.6905 3.69113i 0.837497 0.197018i
\(352\) −5.22988 −0.278753
\(353\) 1.52341 + 8.63967i 0.0810827 + 0.459843i 0.998133 + 0.0610722i \(0.0194520\pi\)
−0.917051 + 0.398771i \(0.869437\pi\)
\(354\) 21.4181 + 8.76413i 1.13836 + 0.465808i
\(355\) 0.284648 + 0.782063i 0.0151075 + 0.0415076i
\(356\) 5.91463 + 4.96296i 0.313475 + 0.263036i
\(357\) 2.48791 0.853500i 0.131674 0.0451720i
\(358\) 0.762870 + 0.277662i 0.0403189 + 0.0146749i
\(359\) 22.6039 13.0503i 1.19299 0.688771i 0.234003 0.972236i \(-0.424817\pi\)
0.958983 + 0.283465i \(0.0914841\pi\)
\(360\) 0.330920 0.0318171i 0.0174410 0.00167691i
\(361\) 25.2458 43.7271i 1.32873 2.30143i
\(362\) 4.21004 3.53264i 0.221275 0.185671i
\(363\) 1.11390 28.2999i 0.0584645 1.48536i
\(364\) 6.39527 + 5.14395i 0.335203 + 0.269616i
\(365\) −1.54550 0.272513i −0.0808950 0.0142640i
\(366\) 0.872755 22.1734i 0.0456196 1.15902i
\(367\) −10.5733 12.6008i −0.551923 0.657757i 0.415893 0.909413i \(-0.363469\pi\)
−0.967817 + 0.251657i \(0.919025\pi\)
\(368\) 4.54429 + 2.62365i 0.236888 + 0.136767i
\(369\) 1.44747 + 15.0548i 0.0753525 + 0.783720i
\(370\) −0.134232 + 0.0774990i −0.00697840 + 0.00402898i
\(371\) 13.8421 12.1132i 0.718647 0.628885i
\(372\) −8.60122 7.81390i −0.445953 0.405132i
\(373\) 1.42297 + 1.19401i 0.0736784 + 0.0618235i 0.678883 0.734246i \(-0.262464\pi\)
−0.605205 + 0.796070i \(0.706909\pi\)
\(374\) −2.82074 + 1.02667i −0.145857 + 0.0530876i
\(375\) 0.726003 1.77423i 0.0374906 0.0916209i
\(376\) 8.16716 1.44009i 0.421189 0.0742670i
\(377\) 26.6845 1.37432
\(378\) −13.2430 3.69081i −0.681148 0.189835i
\(379\) 2.24840 0.115492 0.0577462 0.998331i \(-0.481609\pi\)
0.0577462 + 0.998331i \(0.481609\pi\)
\(380\) 0.909742 0.160412i 0.0466688 0.00822897i
\(381\) 6.47348 + 8.36182i 0.331646 + 0.428389i
\(382\) −6.63323 + 2.41430i −0.339385 + 0.123526i
\(383\) −12.0632 10.1222i −0.616399 0.517221i 0.280270 0.959921i \(-0.409576\pi\)
−0.896669 + 0.442701i \(0.854020\pi\)
\(384\) 0.367621 1.69259i 0.0187601 0.0863745i
\(385\) −1.15391 + 1.00978i −0.0588086 + 0.0514631i
\(386\) −10.6258 + 6.13479i −0.540838 + 0.312253i
\(387\) −11.8335 + 17.2126i −0.601529 + 0.874967i
\(388\) 6.95416 + 4.01499i 0.353044 + 0.203830i
\(389\) 16.4621 + 19.6187i 0.834661 + 0.994710i 0.999964 + 0.00846700i \(0.00269516\pi\)
−0.165304 + 0.986243i \(0.552860\pi\)
\(390\) 0.503528 + 0.317752i 0.0254971 + 0.0160900i
\(391\) 2.96601 + 0.522988i 0.149998 + 0.0264487i
\(392\) −2.66501 6.47284i −0.134603 0.326928i
\(393\) 16.3517 8.60156i 0.824833 0.433891i
\(394\) −2.45880 + 2.06317i −0.123872 + 0.103941i
\(395\) −0.373164 + 0.646339i −0.0187759 + 0.0325208i
\(396\) 15.1893 + 3.93050i 0.763292 + 0.197515i
\(397\) −25.9260 + 14.9684i −1.30119 + 0.751240i −0.980608 0.195981i \(-0.937211\pi\)
−0.320579 + 0.947222i \(0.603877\pi\)
\(398\) 13.5157 + 4.91932i 0.677482 + 0.246583i
\(399\) −37.4910 7.33166i −1.87690 0.367042i
\(400\) −3.82082 3.20604i −0.191041 0.160302i
\(401\) −2.24812 6.17665i −0.112266 0.308447i 0.870818 0.491606i \(-0.163590\pi\)
−0.983083 + 0.183159i \(0.941368\pi\)
\(402\) 0.0950228 + 0.698582i 0.00473931 + 0.0348421i
\(403\) −3.61401 20.4960i −0.180026 1.02098i
\(404\) 2.71738 0.135195
\(405\) −0.985017 0.156295i −0.0489459 0.00776637i
\(406\) −19.9419 10.9681i −0.989701 0.544340i
\(407\) −7.20392 + 1.27025i −0.357085 + 0.0629637i
\(408\) −0.133991 0.985066i −0.00663355 0.0487681i
\(409\) −12.1976 33.5128i −0.603135 1.65710i −0.744882 0.667197i \(-0.767494\pi\)
0.141747 0.989903i \(-0.454728\pi\)
\(410\) −0.359103 + 0.427962i −0.0177348 + 0.0211355i
\(411\) 26.7180 8.55043i 1.31790 0.421762i
\(412\) −4.26697 + 11.7234i −0.210219 + 0.577571i
\(413\) −0.733533 35.3421i −0.0360948 1.73907i
\(414\) −11.2264 11.0352i −0.551746 0.542352i
\(415\) −0.334422 + 0.579236i −0.0164161 + 0.0284336i
\(416\) 2.37632 1.99397i 0.116509 0.0977624i
\(417\) 8.66229 + 16.4671i 0.424194 + 0.806398i
\(418\) 42.9348 + 7.57056i 2.10001 + 0.370288i
\(419\) 4.26770 24.2033i 0.208491 1.18241i −0.683361 0.730081i \(-0.739482\pi\)
0.891851 0.452329i \(-0.149407\pi\)
\(420\) −0.245692 0.444429i −0.0119885 0.0216859i
\(421\) 9.69790 8.13750i 0.472647 0.396598i −0.375112 0.926979i \(-0.622396\pi\)
0.847759 + 0.530382i \(0.177951\pi\)
\(422\) −6.88478 3.97493i −0.335146 0.193496i
\(423\) −24.8025 1.95551i −1.20594 0.0950799i
\(424\) −3.47611 6.02080i −0.168815 0.292396i
\(425\) −2.69013 0.979128i −0.130491 0.0474947i
\(426\) −12.7118 2.76094i −0.615888 0.133768i
\(427\) −31.6050 + 12.2518i −1.52947 + 0.592906i
\(428\) −0.542804 1.49134i −0.0262374 0.0720867i
\(429\) 17.2016 + 22.2194i 0.830502 + 1.07276i
\(430\) −0.759847 + 0.133981i −0.0366431 + 0.00646116i
\(431\) 32.4385i 1.56251i 0.624215 + 0.781253i \(0.285419\pi\)
−0.624215 + 0.781253i \(0.714581\pi\)
\(432\) −2.33976 + 4.63956i −0.112572 + 0.223221i
\(433\) 14.0484i 0.675123i 0.941303 + 0.337562i \(0.109602\pi\)
−0.941303 + 0.337562i \(0.890398\pi\)
\(434\) −5.72368 + 16.8026i −0.274745 + 0.806552i
\(435\) −1.52810 0.625288i −0.0732668 0.0299803i
\(436\) −7.22847 + 2.63095i −0.346181 + 0.126000i
\(437\) −33.5086 28.1171i −1.60293 1.34502i
\(438\) 16.4936 18.1555i 0.788096 0.867504i
\(439\) 0.375011 1.03033i 0.0178983 0.0491752i −0.930422 0.366491i \(-0.880559\pi\)
0.948320 + 0.317315i \(0.102781\pi\)
\(440\) 0.289776 + 0.501906i 0.0138145 + 0.0239274i
\(441\) 2.87544 + 20.8022i 0.136925 + 0.990581i
\(442\) 0.890240 1.54194i 0.0423444 0.0733426i
\(443\) 5.14345 + 6.12973i 0.244373 + 0.291232i 0.874264 0.485452i \(-0.161345\pi\)
−0.629891 + 0.776684i \(0.716900\pi\)
\(444\) 0.0952820 2.42075i 0.00452188 0.114884i
\(445\) 0.148574 0.842608i 0.00704310 0.0399434i
\(446\) −0.603018 + 3.41989i −0.0285537 + 0.161936i
\(447\) 10.0775 + 0.396657i 0.476651 + 0.0187612i
\(448\) −2.59546 + 0.513398i −0.122624 + 0.0242558i
\(449\) −11.2056 6.46953i −0.528823 0.305316i 0.211714 0.977332i \(-0.432095\pi\)
−0.740537 + 0.672016i \(0.765429\pi\)
\(450\) 8.68744 + 12.1830i 0.409530 + 0.574310i
\(451\) −22.8335 + 13.1829i −1.07519 + 0.620761i
\(452\) 1.40984 3.87350i 0.0663132 0.182194i
\(453\) −9.81819 + 10.8075i −0.461299 + 0.507779i
\(454\) 9.74722 11.6163i 0.457460 0.545179i
\(455\) 0.139312 0.898763i 0.00653106 0.0421346i
\(456\) −5.46812 + 13.3632i −0.256068 + 0.625788i
\(457\) 2.85895 + 16.2139i 0.133736 + 0.758456i 0.975731 + 0.218971i \(0.0702699\pi\)
−0.841995 + 0.539485i \(0.818619\pi\)
\(458\) −7.97554 −0.372672
\(459\) −0.351169 + 2.96167i −0.0163912 + 0.138239i
\(460\) 0.581482i 0.0271117i
\(461\) 6.49736 + 36.8483i 0.302612 + 1.71620i 0.634537 + 0.772892i \(0.281191\pi\)
−0.331925 + 0.943306i \(0.607698\pi\)
\(462\) −3.72229 23.6755i −0.173177 1.10148i
\(463\) −8.17143 + 2.97416i −0.379759 + 0.138221i −0.524844 0.851198i \(-0.675876\pi\)
0.145086 + 0.989419i \(0.453654\pi\)
\(464\) −5.52937 + 6.58964i −0.256694 + 0.305916i
\(465\) −0.273318 + 1.25840i −0.0126748 + 0.0583570i
\(466\) 11.4085 + 4.15236i 0.528490 + 0.192355i
\(467\) 9.23983 + 16.0038i 0.427568 + 0.740570i 0.996656 0.0817066i \(-0.0260371\pi\)
−0.569088 + 0.822276i \(0.692704\pi\)
\(468\) −8.40020 + 4.00524i −0.388299 + 0.185142i
\(469\) 0.921272 0.557701i 0.0425404 0.0257522i
\(470\) −0.590728 0.704002i −0.0272482 0.0324732i
\(471\) 9.80287 15.5342i 0.451692 0.715778i
\(472\) −13.1580 2.32010i −0.605644 0.106791i
\(473\) −35.8605 6.32318i −1.64887 0.290740i
\(474\) −5.43073 10.3239i −0.249442 0.474192i
\(475\) 26.7261 + 31.8510i 1.22628 + 1.46142i
\(476\) −1.29908 + 0.786411i −0.0595433 + 0.0360451i
\(477\) 5.57088 + 20.0989i 0.255073 + 0.920265i
\(478\) 12.7363 + 22.0599i 0.582544 + 1.00900i
\(479\) 1.63729 + 0.595925i 0.0748097 + 0.0272285i 0.379154 0.925334i \(-0.376215\pi\)
−0.304344 + 0.952562i \(0.598437\pi\)
\(480\) −0.182805 + 0.0585022i −0.00834387 + 0.00267025i
\(481\) 2.78897 3.32377i 0.127166 0.151551i
\(482\) −10.7095 + 3.89795i −0.487806 + 0.177547i
\(483\) −8.64284 + 22.4392i −0.393263 + 1.02102i
\(484\) 2.83943 + 16.1032i 0.129065 + 0.731963i
\(485\) 0.889845i 0.0404058i
\(486\) 10.2823 11.7164i 0.466415 0.531467i
\(487\) −39.3666 −1.78387 −0.891935 0.452163i \(-0.850652\pi\)
−0.891935 + 0.452163i \(0.850652\pi\)
\(488\) 2.22473 + 12.6171i 0.100709 + 0.571148i
\(489\) −14.8246 + 2.01647i −0.670390 + 0.0911881i
\(490\) −0.473530 + 0.614404i −0.0213919 + 0.0277560i
\(491\) −24.4458 + 29.1334i −1.10323 + 1.31477i −0.158335 + 0.987385i \(0.550613\pi\)
−0.944890 + 0.327387i \(0.893832\pi\)
\(492\) −2.66148 8.31647i −0.119989 0.374935i
\(493\) −1.68867 + 4.63959i −0.0760540 + 0.208957i
\(494\) −22.3949 + 12.9297i −1.00759 + 0.581733i
\(495\) −0.464400 1.67549i −0.0208732 0.0753075i
\(496\) 5.81030 + 3.35458i 0.260890 + 0.150625i
\(497\) 3.85576 + 19.4926i 0.172954 + 0.874363i
\(498\) −4.86691 9.25205i −0.218091 0.414594i
\(499\) −1.35562 + 7.68811i −0.0606859 + 0.344167i 0.939313 + 0.343060i \(0.111463\pi\)
−0.999999 + 0.00110686i \(0.999648\pi\)
\(500\) −0.192193 + 1.08998i −0.00859512 + 0.0487454i
\(501\) −19.8811 12.5460i −0.888222 0.560513i
\(502\) −4.04579 4.82158i −0.180572 0.215198i
\(503\) −2.16662 + 3.75270i −0.0966050 + 0.167325i −0.910277 0.413999i \(-0.864132\pi\)
0.813672 + 0.581324i \(0.197465\pi\)
\(504\) 7.92394 + 0.459533i 0.352960 + 0.0204692i
\(505\) −0.150564 0.260784i −0.00670001 0.0116048i
\(506\) 9.38597 25.7877i 0.417257 1.14640i
\(507\) 5.71618 + 1.24152i 0.253864 + 0.0551381i
\(508\) −4.67697 3.92444i −0.207507 0.174119i
\(509\) 0.210305 0.0765449i 0.00932162 0.00339279i −0.337355 0.941377i \(-0.609532\pi\)
0.346677 + 0.937985i \(0.387310\pi\)
\(510\) −0.0871117 + 0.0674393i −0.00385737 + 0.00298626i
\(511\) −35.4671 12.0816i −1.56897 0.534457i
\(512\) 1.00000i 0.0441942i
\(513\) 25.9243 34.7016i 1.14459 1.53211i
\(514\) 5.80620i 0.256101i
\(515\) 1.36151 0.240071i 0.0599952 0.0105788i
\(516\) 4.56715 11.1614i 0.201058 0.491352i
\(517\) −14.8342 40.7565i −0.652405 1.79247i
\(518\) −3.45044 + 1.33757i −0.151603 + 0.0587697i
\(519\) −3.73247 + 4.10855i −0.163837 + 0.180345i
\(520\) −0.323026 0.117572i −0.0141656 0.00515587i
\(521\) 21.2763 + 36.8517i 0.932133 + 1.61450i 0.779668 + 0.626192i \(0.215388\pi\)
0.152464 + 0.988309i \(0.451279\pi\)
\(522\) 21.0116 14.9830i 0.919652 0.655786i
\(523\) −4.18823 2.41808i −0.183139 0.105735i 0.405628 0.914038i \(-0.367053\pi\)
−0.588766 + 0.808303i \(0.700386\pi\)
\(524\) −8.17151 + 6.85671i −0.356974 + 0.299537i
\(525\) 11.7942 19.5786i 0.514743 0.854479i
\(526\) 2.25526 12.7902i 0.0983341 0.557681i
\(527\) 3.79232 + 0.668688i 0.165196 + 0.0291285i
\(528\) −9.05140 0.356268i −0.393912 0.0155046i
\(529\) −3.47336 + 2.91450i −0.151016 + 0.126717i
\(530\) −0.385207 + 0.667198i −0.0167323 + 0.0289812i
\(531\) 36.4715 + 16.6272i 1.58273 + 0.721559i
\(532\) 22.0507 0.457666i 0.956018 0.0198424i
\(533\) 5.34877 14.6956i 0.231681 0.636538i
\(534\) 9.89842 + 8.99237i 0.428347 + 0.389138i
\(535\) −0.113047 + 0.134724i −0.00488745 + 0.00582464i
\(536\) −0.139216 0.382493i −0.00601322 0.0165212i
\(537\) 1.30139 + 0.532521i 0.0561592 + 0.0229800i
\(538\) −4.71886 + 0.832062i −0.203444 + 0.0358727i
\(539\) −30.9176 + 19.6043i −1.33172 + 0.844417i
\(540\) 0.574895 0.0325233i 0.0247395 0.00139958i
\(541\) 20.8332 0.895687 0.447844 0.894112i \(-0.352192\pi\)
0.447844 + 0.894112i \(0.352192\pi\)
\(542\) 0.156743 + 0.888932i 0.00673268 + 0.0381829i
\(543\) 7.52700 5.82718i 0.323015 0.250068i
\(544\) 0.196308 + 0.539351i 0.00841663 + 0.0231245i
\(545\) 0.653003 + 0.547934i 0.0279716 + 0.0234709i
\(546\) 10.7180 + 9.33835i 0.458686 + 0.399644i
\(547\) −20.3530 7.40787i −0.870230 0.316738i −0.131970 0.991254i \(-0.542130\pi\)
−0.738260 + 0.674516i \(0.764352\pi\)
\(548\) −14.0264 + 8.09816i −0.599179 + 0.345936i
\(549\) 3.02097 38.3162i 0.128932 1.63530i
\(550\) −13.0426 + 22.5904i −0.556137 + 0.963258i
\(551\) 54.9324 46.0937i 2.34020 1.96366i
\(552\) 7.68613 + 4.85034i 0.327144 + 0.206444i
\(553\) −11.1680 + 13.8847i −0.474911 + 0.590438i
\(554\) 16.4008 + 2.89190i 0.696803 + 0.122865i
\(555\) −0.237597 + 0.124984i −0.0100854 + 0.00530529i
\(556\) −6.90512 8.22920i −0.292842 0.348996i
\(557\) 5.42810 + 3.13392i 0.229996 + 0.132788i 0.610570 0.791962i \(-0.290940\pi\)
−0.380574 + 0.924750i \(0.624274\pi\)
\(558\) −14.3539 14.1095i −0.607650 0.597304i
\(559\) 18.7049 10.7993i 0.791134 0.456761i
\(560\) 0.193079 + 0.220638i 0.00815908 + 0.00932365i
\(561\) −4.95182 + 1.58471i −0.209066 + 0.0669064i
\(562\) −1.10399 0.926358i −0.0465690 0.0390760i
\(563\) −10.8730 + 3.95744i −0.458241 + 0.166786i −0.560818 0.827939i \(-0.689513\pi\)
0.102577 + 0.994725i \(0.467291\pi\)
\(564\) 14.2331 1.93602i 0.599321 0.0815211i
\(565\) −0.449852 + 0.0793210i −0.0189254 + 0.00333706i
\(566\) −7.45405 −0.313317
\(567\) −22.6684 7.28986i −0.951985 0.306145i
\(568\) 7.51027 0.315124
\(569\) −11.2109 + 1.97679i −0.469986 + 0.0828712i −0.403625 0.914924i \(-0.632250\pi\)
−0.0663609 + 0.997796i \(0.521139\pi\)
\(570\) 1.58543 0.215654i 0.0664063 0.00903274i
\(571\) 24.6671 8.97810i 1.03229 0.375722i 0.230336 0.973111i \(-0.426018\pi\)
0.801951 + 0.597390i \(0.203795\pi\)
\(572\) −12.4279 10.4282i −0.519635 0.436026i
\(573\) −11.6447 + 3.72658i −0.486463 + 0.155680i
\(574\) −10.0376 + 8.78386i −0.418962 + 0.366631i
\(575\) 22.6657 13.0860i 0.945224 0.545725i
\(576\) 0.751548 2.90434i 0.0313145 0.121014i
\(577\) 32.1457 + 18.5594i 1.33824 + 0.772636i 0.986547 0.163478i \(-0.0522711\pi\)
0.351698 + 0.936114i \(0.385604\pi\)
\(578\) −10.7156 12.7704i −0.445712 0.531178i
\(579\) −18.8081 + 9.89371i −0.781636 + 0.411168i
\(580\) 0.938771 + 0.165531i 0.0389804 + 0.00687329i
\(581\) −10.0085 + 12.4432i −0.415223 + 0.516231i
\(582\) 11.7621 + 7.42251i 0.487556 + 0.307673i
\(583\) −27.8528 + 23.3713i −1.15355 + 0.967940i
\(584\) −7.08086 + 12.2644i −0.293008 + 0.507505i
\(585\) 0.849815 + 0.584238i 0.0351355 + 0.0241553i
\(586\) −17.7043 + 10.2216i −0.731358 + 0.422250i
\(587\) 7.48319 + 2.72366i 0.308864 + 0.112417i 0.491802 0.870707i \(-0.336338\pi\)
−0.182938 + 0.983125i \(0.558561\pi\)
\(588\) −4.17142 11.3842i −0.172027 0.469475i
\(589\) −42.8438 35.9502i −1.76535 1.48130i
\(590\) 0.506395 + 1.39131i 0.0208479 + 0.0572792i
\(591\) −4.39601 + 3.40326i −0.180828 + 0.139991i
\(592\) 0.242882 + 1.37745i 0.00998241 + 0.0566130i
\(593\) −5.25522 −0.215806 −0.107903 0.994161i \(-0.534414\pi\)
−0.107903 + 0.994161i \(0.534414\pi\)
\(594\) 26.0206 + 7.83729i 1.06764 + 0.321568i
\(595\) 0.147450 + 0.0810983i 0.00604487 + 0.00332471i
\(596\) −5.73431 + 1.01111i −0.234887 + 0.0414169i
\(597\) 23.0567 + 9.43464i 0.943648 + 0.386134i
\(598\) 5.56722 + 15.2958i 0.227661 + 0.625493i
\(599\) 10.2641 12.2322i 0.419378 0.499796i −0.514448 0.857521i \(-0.672003\pi\)
0.933827 + 0.357726i \(0.116448\pi\)
\(600\) −6.39432 5.80902i −0.261047 0.237152i
\(601\) −6.46075 + 17.7508i −0.263540 + 0.724069i 0.735383 + 0.677652i \(0.237002\pi\)
−0.998922 + 0.0464169i \(0.985220\pi\)
\(602\) −18.4175 + 0.382258i −0.750639 + 0.0155797i
\(603\) 0.116868 + 1.21552i 0.00475925 + 0.0494996i
\(604\) 4.21503 7.30065i 0.171507 0.297059i
\(605\) 1.38808 1.16474i 0.0564335 0.0473534i
\(606\) 4.70300 + 0.185112i 0.191046 + 0.00751968i
\(607\) 32.1160 + 5.66292i 1.30355 + 0.229851i 0.781951 0.623341i \(-0.214225\pi\)
0.521598 + 0.853191i \(0.325336\pi\)
\(608\) 1.44756 8.20952i 0.0587063 0.332940i
\(609\) −33.7665 20.3412i −1.36829 0.824266i
\(610\) 1.08758 0.912589i 0.0440349 0.0369497i
\(611\) 22.2793 + 12.8630i 0.901324 + 0.520379i
\(612\) −0.164796 1.71399i −0.00666147 0.0692840i
\(613\) 1.77579 + 3.07575i 0.0717233 + 0.124228i 0.899657 0.436598i \(-0.143817\pi\)
−0.827933 + 0.560826i \(0.810483\pi\)
\(614\) −0.528343 0.192301i −0.0213222 0.00776065i
\(615\) −0.650657 + 0.716216i −0.0262370 + 0.0288806i
\(616\) 5.00131 + 12.9015i 0.201508 + 0.519815i
\(617\) 5.64500 + 15.5095i 0.227259 + 0.624389i 0.999946 0.0103984i \(-0.00330996\pi\)
−0.772687 + 0.634787i \(0.781088\pi\)
\(618\) −8.18352 + 19.9992i −0.329189 + 0.804485i
\(619\) −36.9247 + 6.51083i −1.48413 + 0.261692i −0.856227 0.516599i \(-0.827198\pi\)
−0.627903 + 0.778291i \(0.716087\pi\)
\(620\) 0.743478i 0.0298588i
\(621\) −18.6779 19.8635i −0.749516 0.797096i
\(622\) 10.2647i 0.411577i
\(623\) 6.58690 19.3367i 0.263899 0.774710i
\(624\) 4.24856 3.28911i 0.170078 0.131670i
\(625\) −23.3194 + 8.48755i −0.932775 + 0.339502i
\(626\) 14.4625 + 12.1355i 0.578037 + 0.485030i
\(627\) 73.7920 + 16.0272i 2.94697 + 0.640066i
\(628\) −3.62717 + 9.96558i −0.144740 + 0.397670i
\(629\) 0.401404 + 0.695252i 0.0160050 + 0.0277215i
\(630\) −0.394947 0.785915i −0.0157351 0.0313116i
\(631\) 8.30649 14.3873i 0.330676 0.572748i −0.651968 0.758246i \(-0.726057\pi\)
0.982645 + 0.185498i \(0.0593899\pi\)
\(632\) 4.32909 + 5.15921i 0.172202 + 0.205222i
\(633\) −11.6448 7.34845i −0.462838 0.292075i
\(634\) −0.970490 + 5.50392i −0.0385431 + 0.218589i
\(635\) −0.117485 + 0.666289i −0.00466224 + 0.0264409i
\(636\) −5.60599 10.6571i −0.222292 0.422580i
\(637\) 6.57374 20.6955i 0.260461 0.819986i
\(638\) 38.9610 + 22.4941i 1.54248 + 0.890551i
\(639\) −21.8124 5.64433i −0.862883 0.223286i
\(640\) 0.0959690 0.0554077i 0.00379351 0.00219018i
\(641\) −11.6181 + 31.9203i −0.458886 + 1.26078i 0.467430 + 0.884030i \(0.345180\pi\)
−0.926316 + 0.376748i \(0.877042\pi\)
\(642\) −0.837844 2.61806i −0.0330671 0.103327i
\(643\) 0.338298 0.403168i 0.0133412 0.0158994i −0.759333 0.650703i \(-0.774474\pi\)
0.772674 + 0.634803i \(0.218919\pi\)
\(644\) 2.12654 13.7192i 0.0837974 0.540613i
\(645\) −1.32420 + 0.180121i −0.0521404 + 0.00709226i
\(646\) −0.830850 4.71198i −0.0326893 0.185390i
\(647\) 2.27585 0.0894729 0.0447365 0.998999i \(-0.485755\pi\)
0.0447365 + 0.998999i \(0.485755\pi\)
\(648\) −4.36550 + 7.87035i −0.171493 + 0.309177i
\(649\) 69.8761i 2.74288i
\(650\) −2.68673 15.2372i −0.105382 0.597651i
\(651\) −11.0507 + 28.6906i −0.433109 + 1.12447i
\(652\) 8.11687 2.95430i 0.317881 0.115699i
\(653\) −3.00807 + 3.58487i −0.117715 + 0.140287i −0.821684 0.569944i \(-0.806965\pi\)
0.703969 + 0.710231i \(0.251409\pi\)
\(654\) −12.6896 + 4.06099i −0.496203 + 0.158797i
\(655\) 1.11080 + 0.404297i 0.0434024 + 0.0157972i
\(656\) 2.52070 + 4.36598i 0.0984167 + 0.170463i
\(657\) 29.7825 30.2984i 1.16193 1.18205i
\(658\) −11.3628 18.7703i −0.442966 0.731741i
\(659\) −6.65681 7.93328i −0.259313 0.309037i 0.620642 0.784094i \(-0.286872\pi\)
−0.879955 + 0.475057i \(0.842427\pi\)
\(660\) 0.467327 + 0.888394i 0.0181907 + 0.0345807i
\(661\) 3.45779 + 0.609701i 0.134492 + 0.0237146i 0.240489 0.970652i \(-0.422692\pi\)
−0.105997 + 0.994366i \(0.533803\pi\)
\(662\) −18.3166 3.22971i −0.711895 0.125526i
\(663\) 1.64579 2.60801i 0.0639171 0.101287i
\(664\) 3.87964 + 4.62358i 0.150559 + 0.179430i
\(665\) −1.26570 2.09082i −0.0490817 0.0810787i
\(666\) 0.329811 4.18313i 0.0127799 0.162093i
\(667\) −22.5691 39.0908i −0.873878 1.51360i
\(668\) 12.7542 + 4.64216i 0.493476 + 0.179611i
\(669\) −1.27662 + 5.87775i −0.0493569 + 0.227247i
\(670\) −0.0289938 + 0.0345535i −0.00112013 + 0.00133492i
\(671\) 62.9629 22.9166i 2.43065 0.884686i
\(672\) −4.52697 + 0.711737i −0.174632 + 0.0274558i
\(673\) 5.20534 + 29.5209i 0.200651 + 1.13795i 0.904138 + 0.427240i \(0.140514\pi\)
−0.703487 + 0.710708i \(0.748375\pi\)
\(674\) 28.3540i 1.09215i
\(675\) 14.2055 + 21.6770i 0.546771 + 0.834348i
\(676\) −3.37718 −0.129892
\(677\) −2.77529 15.7395i −0.106663 0.604917i −0.990543 0.137203i \(-0.956189\pi\)
0.883880 0.467714i \(-0.154922\pi\)
\(678\) 2.70389 6.60787i 0.103842 0.253774i
\(679\) 3.25426 20.9946i 0.124887 0.805699i
\(680\) 0.0408840 0.0487237i 0.00156783 0.00186847i
\(681\) 17.6609 19.4404i 0.676769 0.744959i
\(682\) 12.0008 32.9720i 0.459535 1.26256i
\(683\) −2.97073 + 1.71515i −0.113672 + 0.0656285i −0.555758 0.831344i \(-0.687572\pi\)
0.442086 + 0.896973i \(0.354239\pi\)
\(684\) −10.3741 + 22.7553i −0.396662 + 0.870071i
\(685\) 1.55435 + 0.897402i 0.0593885 + 0.0342879i
\(686\) −13.4192 + 12.7642i −0.512347 + 0.487340i
\(687\) −13.8033 0.543306i −0.526630 0.0207284i
\(688\) −1.20905 + 6.85686i −0.0460946 + 0.261415i
\(689\) 3.74494 21.2386i 0.142671 0.809127i
\(690\) 0.0396115 1.00638i 0.00150798 0.0383121i
\(691\) −29.0085 34.5709i −1.10353 1.31514i −0.944737 0.327829i \(-0.893683\pi\)
−0.158796 0.987311i \(-0.550761\pi\)
\(692\) 1.60238 2.77541i 0.0609134 0.105505i
\(693\) −4.82940 41.2290i −0.183454 1.56616i
\(694\) −15.5822 26.9892i −0.591494 1.02450i
\(695\) −0.407151 + 1.11864i −0.0154441 + 0.0424324i
\(696\) −10.0186 + 11.0281i −0.379755 + 0.418019i
\(697\) 2.21662 + 1.85996i 0.0839604 + 0.0704511i
\(698\) −8.30959 + 3.02444i −0.314523 + 0.114477i
\(699\) 19.4620 + 7.96371i 0.736120 + 0.301215i
\(700\) −4.25510 + 12.4914i −0.160828 + 0.472131i
\(701\) 16.9392i 0.639785i 0.947454 + 0.319893i \(0.103647\pi\)
−0.947454 + 0.319893i \(0.896353\pi\)
\(702\) −14.8112 + 6.35968i −0.559011 + 0.240031i
\(703\) 11.6598i 0.439759i
\(704\) 5.15042 0.908159i 0.194114 0.0342275i
\(705\) −0.974421 1.25867i −0.0366988 0.0474041i
\(706\) −3.00052 8.24387i −0.112926 0.310262i
\(707\) −2.59862 6.70345i −0.0977312 0.252109i
\(708\) −22.6146 4.91177i −0.849907 0.184596i
\(709\) −5.61321 2.04304i −0.210808 0.0767280i 0.234458 0.972126i \(-0.424669\pi\)
−0.445266 + 0.895398i \(0.646891\pi\)
\(710\) −0.416127 0.720753i −0.0156170 0.0270494i
\(711\) −8.69575 18.2376i −0.326116 0.683964i
\(712\) −6.68658 3.86050i −0.250590 0.144678i
\(713\) −26.9685 + 22.6293i −1.00998 + 0.847474i
\(714\) −2.30191 + 1.27255i −0.0861467 + 0.0476242i
\(715\) −0.312186 + 1.77049i −0.0116751 + 0.0662127i
\(716\) −0.799496 0.140973i −0.0298786 0.00526840i
\(717\) 20.5401 + 39.0469i 0.767083 + 1.45823i
\(718\) −19.9943 + 16.7772i −0.746180 + 0.626119i
\(719\) −21.9102 + 37.9496i −0.817112 + 1.41528i 0.0906891 + 0.995879i \(0.471093\pi\)
−0.907801 + 0.419401i \(0.862240\pi\)
\(720\) −0.320368 + 0.0887974i −0.0119394 + 0.00330928i
\(721\) 33.0008 0.684937i 1.22901 0.0255084i
\(722\) −17.2692 + 47.4467i −0.642692 + 1.76578i
\(723\) −18.8006 + 6.01667i −0.699203 + 0.223762i
\(724\) −3.53264 + 4.21004i −0.131290 + 0.156465i
\(725\) 14.6744 + 40.3177i 0.544995 + 1.49736i
\(726\) 3.81725 + 28.0634i 0.141671 + 1.04153i
\(727\) 7.39436 1.30383i 0.274242 0.0483562i −0.0348358 0.999393i \(-0.511091\pi\)
0.309078 + 0.951037i \(0.399980\pi\)
\(728\) −7.19135 3.95527i −0.266529 0.146592i
\(729\) 18.5938 19.5773i 0.688660 0.725084i
\(730\) 1.56934 0.0580838
\(731\) 0.693953 + 3.93560i 0.0256668 + 0.145564i
\(732\) 2.99087 + 21.9881i 0.110546 + 0.812702i
\(733\) 2.55240 + 7.01267i 0.0942751 + 0.259019i 0.977863 0.209247i \(-0.0671012\pi\)
−0.883588 + 0.468266i \(0.844879\pi\)
\(734\) 12.6008 + 10.5733i 0.465104 + 0.390269i
\(735\) −0.861398 + 1.03110i −0.0317732 + 0.0380326i
\(736\) −4.93085 1.79468i −0.181754 0.0661529i
\(737\) −1.84357 + 1.06439i −0.0679088 + 0.0392071i
\(738\) −4.03972 14.5747i −0.148704 0.536502i
\(739\) 12.7404 22.0669i 0.468662 0.811746i −0.530697 0.847562i \(-0.678070\pi\)
0.999358 + 0.0358160i \(0.0114030\pi\)
\(740\) 0.118735 0.0996308i 0.00436480 0.00366250i
\(741\) −39.6398 + 20.8519i −1.45620 + 0.766016i
\(742\) −11.5284 + 14.3328i −0.423221 + 0.526174i
\(743\) 16.0912 + 2.83732i 0.590329 + 0.104091i 0.460830 0.887488i \(-0.347552\pi\)
0.129500 + 0.991579i \(0.458663\pi\)
\(744\) 9.82742 + 6.20161i 0.360291 + 0.227362i
\(745\) 0.414761 + 0.494293i 0.0151957 + 0.0181095i
\(746\) −1.60869 0.928775i −0.0588982 0.0340049i
\(747\) −7.79295 16.3442i −0.285129 0.598002i
\(748\) 2.59961 1.50088i 0.0950511 0.0548778i
\(749\) −3.15988 + 2.76520i −0.115460 + 0.101038i
\(750\) −0.406881 + 1.87335i −0.0148572 + 0.0684049i
\(751\) −18.7751 15.7542i −0.685112 0.574877i 0.232383 0.972624i \(-0.425348\pi\)
−0.917495 + 0.397747i \(0.869792\pi\)
\(752\) −7.79301 + 2.83642i −0.284182 + 0.103434i
\(753\) −6.67363 8.62037i −0.243201 0.314144i
\(754\) −26.2791 + 4.63371i −0.957028 + 0.168750i
\(755\) −0.934182 −0.0339984
\(756\) 13.6827 + 1.33511i 0.497637 + 0.0485575i
\(757\) 38.0265 1.38210 0.691048 0.722808i \(-0.257149\pi\)
0.691048 + 0.722808i \(0.257149\pi\)
\(758\) −2.21424 + 0.390430i −0.0804247 + 0.0141810i
\(759\) 18.0011 43.9917i 0.653398 1.59680i
\(760\) −0.868066 + 0.315950i −0.0314881 + 0.0114607i
\(761\) −5.97901 5.01699i −0.216739 0.181866i 0.527954 0.849273i \(-0.322959\pi\)
−0.744693 + 0.667408i \(0.767404\pi\)
\(762\) −7.82714 7.11068i −0.283548 0.257593i
\(763\) 13.4028 + 15.3158i 0.485213 + 0.554469i
\(764\) 6.11321 3.52947i 0.221168 0.127692i
\(765\) −0.155359 + 0.110784i −0.00561703 + 0.00400539i
\(766\) 13.6376 + 7.87368i 0.492747 + 0.284488i
\(767\) −26.6413 31.7499i −0.961962 1.14642i
\(768\) −0.0681216 + 1.73071i −0.00245813 + 0.0624516i