Properties

Label 378.2.z.a.41.12
Level $378$
Weight $2$
Character 378.41
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [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 41.12
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(1.71625 - 0.233448i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.0848896 + 0.0712308i) q^{5} +(-1.64964 + 0.527925i) q^{6} +(-2.61453 + 0.405264i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(2.89100 - 0.801309i) q^{9} +O(q^{10})\) \(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} +(-2.61453 + 0.405264i) 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} +(2.50444 - 0.853115i) 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} +(-4.39257 + 1.30589i) 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} +(-0.250814 - 0.151832i) 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} +(4.09907 - 2.04881i) 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} +(6.67152 - 2.11915i) 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} +(2.06162 - 1.65823i) 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} +(-7.23387 + 3.26666i) 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} +(0.273369 + 0.105972i) 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} +(-10.4129 - 9.11226i) 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} +(-3.68102 + 2.72948i) 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} +(-8.20553 - 0.170307i) 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} +(-6.20218 + 3.24545i) 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 0.661572 0.749882i \(-0.269890\pi\)
−0.623608 + 0.781737i \(0.714334\pi\)
\(6\) −1.64964 + 0.527925i −0.673461 + 0.215524i
\(7\) −2.61453 + 0.405264i −0.988199 + 0.153175i
\(8\) −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 0.580404 0.814329i \(-0.302895\pi\)
0.266884 + 0.963729i \(0.414006\pi\)
\(14\) 2.50444 0.853115i 0.669338 0.228005i
\(15\) 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 −0.898727 0.438509i \(-0.855507\pi\)
0.829123 + 0.559066i \(0.188840\pi\)
\(18\) −2.70794 + 1.29115i −0.638267 + 0.304328i
\(19\) 7.21933 4.16808i 1.65623 0.956224i 0.681796 0.731542i \(-0.261199\pi\)
0.974432 0.224682i \(-0.0721343\pi\)
\(20\) 0.104133 + 0.0379011i 0.0232847 + 0.00847495i
\(21\) −4.39257 + 1.30589i −0.958537 + 0.284968i
\(22\) −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 \(-0.905283\pi\)
0.543920 0.839137i \(-0.316940\pi\)
\(32\) −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
\(35\) −0.250814 0.151832i −0.0423952 0.0256644i
\(36\) 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 \(-0.815651\pi\)
0.973647 0.228060i \(-0.0732381\pi\)
\(42\) 4.09907 2.04881i 0.632500 0.316138i
\(43\) −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 0.840731 0.541454i \(-0.182126\pi\)
0.295997 + 0.955189i \(0.404348\pi\)
\(48\) 1.16466 1.28201i 0.168105 0.185043i
\(49\) 6.67152 2.11915i 0.953075 0.302735i
\(50\) 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
\(56\) 2.06162 1.65823i 0.275495 0.221591i
\(57\) 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 \(-0.942075\pi\)
−0.349005 0.937121i \(-0.613480\pi\)
\(60\) 0.187565 + 0.0407382i 0.0242145 + 0.00525927i
\(61\) −4.38186 + 12.0391i −0.561040 + 1.54145i 0.257075 + 0.966391i \(0.417241\pi\)
−0.818115 + 0.575054i \(0.804981\pi\)
\(62\) 3.35458 + 5.81030i 0.426032 + 0.737908i
\(63\) −7.23387 + 3.26666i −0.911382 + 0.411561i
\(64\) 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
\(70\) 0.273369 + 0.105972i 0.0326738 + 0.0126661i
\(71\) −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 −0.997528 0.0702659i \(-0.977615\pi\)
−0.437912 + 0.899018i \(0.644282\pi\)
\(74\) 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
\(77\) −10.4129 9.11226i −1.18666 1.03844i
\(78\) −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 \(0.0519146\pi\)
−0.871688 + 0.490061i \(0.836974\pi\)
\(84\) −3.68102 + 2.72948i −0.401633 + 0.297811i
\(85\) −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 0.585590 0.810608i \(-0.300863\pi\)
−0.994802 + 0.101832i \(0.967530\pi\)
\(90\) −0.321846 0.0832832i −0.0339255 0.00877882i
\(91\) −8.20553 0.170307i −0.860173 0.0178531i
\(92\) 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 0.437462 0.899237i \(-0.355877\pi\)
−0.961540 + 0.274665i \(0.911433\pi\)
\(98\) −6.20218 + 3.24545i −0.626515 + 0.327840i
\(99\) 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 0.211839 0.977305i \(-0.432055\pi\)
−0.465922 + 0.884826i \(0.654277\pi\)
\(102\) 0.211002 0.971487i 0.0208923 0.0961916i
\(103\) 8.01929 9.55702i 0.790164 0.941681i −0.209181 0.977877i \(-0.567080\pi\)
0.999345 + 0.0361962i \(0.0115241\pi\)
\(104\) −2.91499 + 1.06097i −0.285838 + 0.104037i
\(105\) −0.465903 0.202030i −0.0454675 0.0197161i
\(106\) −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
\(112\) −1.74235 + 1.99104i −0.164636 + 0.188135i
\(113\) 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
\(119\) 0.548881 1.41590i 0.0503158 0.129796i
\(120\) −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
\(126\) 6.55672 4.47318i 0.584119 0.398503i
\(127\) −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 0.135278 0.990808i \(-0.456807\pi\)
0.740508 + 0.672047i \(0.234585\pi\)
\(132\) 8.38369 + 3.43054i 0.729706 + 0.298591i
\(133\) −17.1860 + 13.8233i −1.49021 + 1.19863i
\(134\) 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 \(0.0394577\pi\)
−0.680690 + 0.732571i \(0.738320\pi\)
\(140\) −0.287617 0.0568925i −0.0243081 0.00480829i
\(141\) 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
\(147\) 10.9553 5.19443i 0.903575 0.428430i
\(148\) −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
\(154\) 11.8370 + 7.16565i 0.953853 + 0.577424i
\(155\) 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 −0.422045 0.906575i \(-0.638688\pi\)
0.966089 + 0.258208i \(0.0831320\pi\)
\(158\) 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 0.144735 0.989470i \(-0.453767\pi\)
−0.949305 + 0.314356i \(0.898212\pi\)
\(168\) 3.15113 3.32722i 0.243115 0.256700i
\(169\) −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 −0.731324 0.682030i \(-0.761097\pi\)
0.544675 + 0.838647i \(0.316653\pi\)
\(174\) 13.1863 6.93645i 0.999648 0.525851i
\(175\) 4.25510 + 12.4914i 0.321655 + 0.944263i
\(176\) 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 −0.312573 0.949894i \(-0.601191\pi\)
0.666345 + 0.745643i \(0.267858\pi\)
\(182\) 8.11044 1.25716i 0.601186 0.0931865i
\(183\) −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
\(189\) −11.6525 + 7.29513i −0.847595 + 0.530643i
\(190\) −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
\(196\) 5.54439 4.27314i 0.396028 0.305224i
\(197\) 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 0.871644 0.490139i \(-0.163054\pi\)
0.0113494 + 0.999936i \(0.496387\pi\)
\(200\) 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
\(203\) 21.5436 7.33864i 1.51206 0.515071i
\(204\) −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
\(210\) 0.493907 + 0.118057i 0.0340828 + 0.00814673i
\(211\) 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 −0.973087 0.230440i \(-0.925984\pi\)
0.893551 + 0.448961i \(0.148206\pi\)
\(224\) 1.37014 2.26334i 0.0915461 0.151226i
\(225\) −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 −0.169965 0.985450i \(-0.554365\pi\)
0.940965 + 0.338504i \(0.109921\pi\)
\(228\) 7.70554 12.2106i 0.510312 0.808669i
\(229\) −7.85437 1.38494i −0.519031 0.0915192i −0.0920052 0.995759i \(-0.529328\pi\)
−0.427026 + 0.904239i \(0.640439\pi\)
\(230\) 0.100973 0.572648i 0.00665798 0.0377593i
\(231\) −19.9983 13.2080i −1.31579 0.869024i
\(232\) 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
\(238\) −0.294673 + 1.48971i −0.0191008 + 0.0965633i
\(239\) −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 −0.523018 0.852322i \(-0.675194\pi\)
−0.199964 + 0.979803i \(0.564083\pi\)
\(242\) 16.3516i 1.05112i
\(243\) 12.1606 9.75291i 0.780104 0.625649i
\(244\) 12.8117i 0.820186i
\(245\) 0.717291 + 0.295324i 0.0458261 + 0.0188676i
\(246\) 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 0.749447 0.662064i \(-0.230319\pi\)
−0.948088 + 0.318008i \(0.896986\pi\)
\(252\) −5.68035 + 5.54379i −0.357828 + 0.349226i
\(253\) −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 \(0.113518\pi\)
−0.999971 + 0.00756212i \(0.997593\pi\)
\(258\) 6.43592 10.1987i 0.400683 0.634945i
\(259\) 1.33757 3.45044i 0.0831128 0.214400i
\(260\) 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
\(266\) 14.5245 16.5976i 0.890554 1.01767i
\(267\) −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 \(-0.546664\pi\)
−0.146076 + 0.989273i \(0.546664\pi\)
\(270\) −0.571809 0.0678003i −0.0347992 0.00412619i
\(271\) 0.902646i 0.0548318i 0.999624 + 0.0274159i \(0.00872785\pi\)
−0.999624 + 0.0274159i \(0.991272\pi\)
\(272\) 0.0996681 + 0.565246i 0.00604326 + 0.0342731i
\(273\) −14.1225 + 1.62328i −0.854731 + 0.0982451i
\(274\) 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
\(280\) 0.293127 + 0.00608391i 0.0175177 + 0.000363583i
\(281\) 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 −0.0488499 0.998806i \(-0.515556\pi\)
−0.387516 + 0.921863i \(0.626667\pi\)
\(284\) −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
\(287\) −0.276779 + 13.3354i −0.0163378 + 0.787164i
\(288\) −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 −0.835483 0.549517i \(-0.814812\pi\)
−0.286795 + 0.957992i \(0.592590\pi\)
\(294\) −9.88683 + 7.01788i −0.576611 + 0.409291i
\(295\) −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
\(301\) 12.1313 13.8629i 0.699239 0.799043i
\(302\) −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 0.486041 0.873936i \(-0.338441\pi\)
−0.513831 + 0.857892i \(0.671774\pi\)
\(308\) −12.9015 5.00131i −0.735130 0.284976i
\(309\) 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 \(0.149553\pi\)
−0.992716 + 0.120476i \(0.961558\pi\)
\(312\) −4.75516 + 2.50138i −0.269208 + 0.141613i
\(313\) 12.1355 + 14.4625i 0.685936 + 0.817467i 0.990858 0.134910i \(-0.0430747\pi\)
−0.304921 + 0.952377i \(0.598630\pi\)
\(314\) −5.30257 + 9.18432i −0.299241 + 0.518301i
\(315\) −0.846768 0.237969i −0.0477100 0.0134080i
\(316\) −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
\(322\) 8.70125 + 10.8179i 0.484902 + 0.602859i
\(323\) 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
\(329\) −21.5246 4.25769i −1.18669 0.234734i
\(330\) −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
\(336\) −2.52549 + 3.82386i −0.137777 + 0.208609i
\(337\) −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
\(343\) −16.5841 + 8.24430i −0.895456 + 0.445150i
\(344\) 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 −0.401793 0.915730i \(-0.631613\pi\)
−0.0643639 + 0.997926i \(0.520502\pi\)
\(350\) −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 \(-0.980548\pi\)
0.917051 0.398771i \(-0.130563\pi\)
\(354\) 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
\(357\) 0.611475 2.55818i 0.0323627 0.135393i
\(358\) 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
\(364\) −7.76892 + 2.64642i −0.407202 + 0.138710i
\(365\) −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 0.967817 0.251657i \(-0.0809754\pi\)
−0.415893 + 0.909413i \(0.636531\pi\)
\(368\) 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
\(371\) −2.81748 18.1768i −0.146276 0.943692i
\(372\) −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
\(378\) 10.2087 9.20774i 0.525079 0.473595i
\(379\) 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 0.896669 0.442701i \(-0.145980\pi\)
−0.280270 + 0.959921i \(0.590424\pi\)
\(384\) −0.367621 + 1.69259i −0.0187601 + 0.0863745i
\(385\) −0.234871 1.51525i −0.0119701 0.0772245i
\(386\) −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
\(392\) −4.71813 + 5.17100i −0.238302 + 0.261175i
\(393\) 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 0.320579 0.947222i \(-0.396123\pi\)
0.980608 + 0.195981i \(0.0627892\pi\)
\(398\) −13.5157 4.91932i −0.677482 0.246583i
\(399\) −26.2684 + 27.7362i −1.31506 + 1.38855i
\(400\) −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 \(0.232506\pi\)
−0.141747 + 0.989903i \(0.545272\pi\)
\(410\) −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
\(413\) 30.2404 + 18.3063i 1.48803 + 0.900795i
\(414\) −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 \(0.260518\pi\)
−0.891851 + 0.452329i \(0.850593\pi\)
\(420\) −0.506904 0.0304978i −0.0247344 0.00148814i
\(421\) 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
\(427\) 6.57751 33.2523i 0.318308 1.60919i
\(428\) −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 \(-0.890398\pi\)
0.941303 0.337562i \(-0.109602\pi\)
\(434\) −11.1253 13.8317i −0.534033 0.663943i
\(435\) −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 −0.948320 0.317315i \(-0.897219\pi\)
0.930422 + 0.366491i \(0.119441\pi\)
\(440\) −0.289776 0.501906i −0.0138145 0.0239274i
\(441\) 17.5893 11.4724i 0.837586 0.546305i
\(442\) 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
\(448\) −0.956296 + 2.46688i −0.0451807 + 0.116549i
\(449\) −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
\(455\) −0.684433 0.598944i −0.0320867 0.0280789i
\(456\) −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 \(-0.718809\pi\)
0.331925 0.943306i \(-0.392302\pi\)
\(462\) 21.9880 + 9.53469i 1.02298 + 0.443594i
\(463\) −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 0.569088 0.822276i \(-0.307296\pi\)
−0.996656 + 0.0817066i \(0.973963\pi\)
\(468\) 8.40020 4.00524i 0.388299 0.185142i
\(469\) 0.0223470 1.07670i 0.00103189 0.0497172i
\(470\) −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
\(476\) 0.0315115 1.51824i 0.00144433 0.0695886i
\(477\) 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 0.304344 0.952562i \(-0.401563\pi\)
−0.379154 + 0.925334i \(0.623785\pi\)
\(480\) −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
\(483\) −14.3224 19.3154i −0.651692 0.878883i
\(484\) 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
\(490\) −0.757677 0.166281i −0.0342283 0.00751183i
\(491\) −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
\(497\) 18.5269 + 7.18204i 0.831047 + 0.322158i
\(498\) −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 −0.813672 0.581324i \(-0.802535\pi\)
0.910277 + 0.413999i \(0.135868\pi\)
\(504\) 4.63138 6.44595i 0.206298 0.287125i
\(505\) −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 −0.346677 0.937985i \(-0.612690\pi\)
0.337355 + 0.941377i \(0.390468\pi\)
\(510\) 0.0871117 0.0674393i 0.00385737 0.00298626i
\(511\) 29.1960 23.4834i 1.29156 1.03885i
\(512\) 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
\(518\) −0.718092 + 3.63028i −0.0315512 + 0.159505i
\(519\) −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 \(-0.784612\pi\)
−0.152464 0.988309i \(-0.548721\pi\)
\(522\) 21.0116 14.9830i 0.919652 0.655786i
\(523\) 4.18823 + 2.41808i 0.183139 + 0.105735i 0.588766 0.808303i \(-0.299614\pi\)
−0.405628 + 0.914038i \(0.632947\pi\)
\(524\) 8.17151 6.85671i 0.356974 0.299537i
\(525\) 10.2189 + 20.4450i 0.445989 + 0.892293i
\(526\) 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
\(532\) −11.4217 + 18.8676i −0.495193 + 0.818015i
\(533\) 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
\(546\) 13.6260 4.05096i 0.583141 0.173365i
\(547\) −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
\(553\) 5.74562 + 16.8670i 0.244329 + 0.717260i
\(554\) 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
\(560\) −0.289730 + 0.0449095i −0.0122433 + 0.00189777i
\(561\) −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 −0.102577 0.994725i \(-0.532709\pi\)
0.560818 + 0.827939i \(0.310487\pi\)
\(564\) 14.2331 1.93602i 0.599321 0.0815211i
\(565\) 0.449852 0.0793210i 0.0189254 0.00333706i
\(566\) 7.45405 0.313317
\(567\) −18.2955 + 15.2405i −0.768341 + 0.640041i
\(568\) 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
\(574\) −2.04310 13.1809i −0.0852772 0.550159i
\(575\) 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 −0.351698 0.936114i \(-0.614396\pi\)
−0.986547 + 0.163478i \(0.947729\pi\)
\(578\) −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
\(581\) −5.14910 15.1159i −0.213621 0.627113i
\(582\) 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 0.182938 0.983125i \(-0.441439\pi\)
−0.491802 + 0.870707i \(0.663662\pi\)
\(588\) 8.51798 8.62809i 0.351276 0.355817i
\(589\) −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 \(-0.465586\pi\)
0.107903 + 0.994161i \(0.465586\pi\)
\(594\) −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 \(-0.762998\pi\)
0.998922 0.0464169i \(-0.0147803\pi\)
\(602\) −9.53977 + 15.7589i −0.388812 + 0.642283i
\(603\) 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 −0.521598 0.853191i \(-0.674664\pi\)
−0.781951 + 0.623341i \(0.785775\pi\)
\(608\) −1.44756 + 8.20952i −0.0587063 + 0.332940i
\(609\) 35.2609 17.6242i 1.42884 0.714169i
\(610\) 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
\(616\) 13.5739 + 2.68501i 0.546910 + 0.108182i
\(617\) 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 0.627903 0.778291i \(-0.283913\pi\)
0.856227 + 0.516599i \(0.172802\pi\)
\(620\) 0.743478i 0.0298588i
\(621\) 18.6779 + 19.8635i 0.749516 + 0.797096i
\(622\) 10.2647i 0.411577i
\(623\) 12.8032 + 15.9177i 0.512950 + 0.637731i
\(624\) 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
\(630\) 0.875226 + 0.0873140i 0.0348698 + 0.00347867i
\(631\) 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
\(637\) 21.5226 2.88013i 0.852757 0.114115i
\(638\) 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 −0.772674 0.634803i \(-0.781081\pi\)
0.759333 + 0.650703i \(0.225526\pi\)
\(644\) −10.4476 9.14262i −0.411692 0.360270i
\(645\) −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 \(-0.514245\pi\)
−0.0447365 + 0.998999i \(0.514245\pi\)
\(648\) −4.36550 + 7.87035i −0.171493 + 0.309177i
\(649\) 69.8761i 2.74288i
\(650\) 2.68673 + 15.2372i 0.105382 + 0.597651i
\(651\) 18.3125 + 24.6965i 0.717724 + 0.967934i
\(652\) 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
\(658\) 21.9369 + 0.455305i 0.855189 + 0.0177496i
\(659\) −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 0.105997 0.994366i \(-0.466197\pi\)
−0.240489 + 0.970652i \(0.577308\pi\)
\(662\) −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
\(665\) −2.44356 0.0507165i −0.0947571 0.00196670i
\(666\) 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
\(672\) 1.82312 4.20431i 0.0703283 0.162185i
\(673\) 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 \(0.0438112\pi\)
−0.883880 + 0.467714i \(0.845078\pi\)
\(678\) −2.70389 + 6.60787i −0.103842 + 0.253774i
\(679\) 15.9880 + 13.9910i 0.613562 + 0.536925i
\(680\) 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
\(686\) 14.9005 10.9988i 0.568904 0.419938i
\(687\) −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 \(0.106317\pi\)
0.158796 + 0.987311i \(0.449239\pi\)
\(692\) −1.60238 + 2.77541i −0.0609134 + 0.105505i
\(693\) −37.4054 17.9996i −1.42091 0.683750i
\(694\) −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
\(700\) 8.27080 + 10.2828i 0.312607 + 0.388652i
\(701\) 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
\(707\) 7.05286 + 1.39510i 0.265250 + 0.0524681i
\(708\) −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
\(714\) −0.157962 + 2.62549i −0.00591159 + 0.0982566i
\(715\) −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 \(-0.528907\pi\)
0.907801 0.419401i \(-0.137760\pi\)
\(720\) 0.320368 0.0887974i 0.0119394 0.00330928i
\(721\) −17.0935 + 28.2370i −0.636597 + 1.05160i
\(722\) −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 −0.309078 0.951037i \(-0.600020\pi\)
0.0348358 + 0.999393i \(0.488909\pi\)
\(728\) 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 0.883588 0.468266i \(-0.155121\pi\)
−0.977863 + 0.209247i \(0.932899\pi\)
\(734\) −12.6008 10.5733i −0.465104 0.390269i
\(735\) 1.29999 + 0.339399i 0.0479509 + 0.0125189i
\(736\) −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
\(742\) 5.93104 + 17.4114i 0.217735 + 0.639192i
\(743\) 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
\(749\) 0.643175 + 4.14940i 0.0235011 + 0.151616i
\(750\) −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
\(756\) −8.45470 + 10.8406i −0.307494 + 0.394268i
\(757\) 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 0.744693 0.667408i \(-0.232596\pi\)
−0.527954 + 0.849273i \(0.677041\pi\)
\(762\) 7.82714 + 7.11068i 0.283548 + 0.257593i
\(763\) 20.1119 3.11744i 0.728101 0.112859i
\(764\) 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.