Properties

Label 378.2.z.a.83.14
Level $378$
Weight $2$
Character 378.83
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 83.14
Character \(\chi\) \(=\) 378.83
Dual form 378.2.z.a.41.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.984808 + 0.173648i) q^{2} +(-1.47964 - 0.900370i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-1.23395 + 1.03541i) q^{5} +(-1.30081 - 1.14363i) q^{6} +(1.54951 + 2.14453i) q^{7} +(0.866025 + 0.500000i) q^{8} +(1.37867 + 2.66445i) q^{9} +O(q^{10})\) \(q+(0.984808 + 0.173648i) q^{2} +(-1.47964 - 0.900370i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-1.23395 + 1.03541i) q^{5} +(-1.30081 - 1.14363i) q^{6} +(1.54951 + 2.14453i) q^{7} +(0.866025 + 0.500000i) q^{8} +(1.37867 + 2.66445i) q^{9} +(-1.39500 + 0.805406i) q^{10} +(-0.858116 + 1.02266i) q^{11} +(-1.08246 - 1.35214i) q^{12} +(3.00736 - 0.530279i) q^{13} +(1.15357 + 2.38102i) q^{14} +(2.75806 - 0.421019i) q^{15} +(0.766044 + 0.642788i) q^{16} +(1.40707 + 2.43712i) q^{17} +(0.895047 + 2.86337i) q^{18} +(2.55888 + 1.47737i) q^{19} +(-1.51367 + 0.550930i) q^{20} +(-0.361842 - 4.56827i) q^{21} +(-1.02266 + 0.858116i) q^{22} +(-0.215196 + 0.591247i) q^{23} +(-0.831221 - 1.51956i) q^{24} +(-0.417673 + 2.36874i) q^{25} +3.05376 q^{26} +(0.359055 - 5.18373i) q^{27} +(0.722589 + 2.54517i) q^{28} +(-0.585362 - 0.103215i) q^{29} +(2.78927 + 0.0643089i) q^{30} +(1.88581 - 5.18123i) q^{31} +(0.642788 + 0.766044i) q^{32} +(2.19048 - 0.740551i) q^{33} +(0.962493 + 2.64443i) q^{34} +(-4.13249 - 1.04188i) q^{35} +(0.384230 + 2.97529i) q^{36} +(4.27982 + 7.41287i) q^{37} +(2.26347 + 1.89927i) q^{38} +(-4.92726 - 1.92312i) q^{39} +(-1.58634 + 0.279715i) q^{40} +(-0.515556 - 2.92386i) q^{41} +(0.436926 - 4.56170i) q^{42} +(-8.07611 - 6.77666i) q^{43} +(-1.15614 + 0.667496i) q^{44} +(-4.46001 - 1.86032i) q^{45} +(-0.314596 + 0.544896i) q^{46} +(-7.18559 + 2.61534i) q^{47} +(-0.554723 - 1.64082i) q^{48} +(-2.19804 + 6.64595i) q^{49} +(-0.822656 + 2.26023i) q^{50} +(0.112350 - 4.87294i) q^{51} +(3.00736 + 0.530279i) q^{52} -9.51219i q^{53} +(1.25375 - 5.04263i) q^{54} -2.15042i q^{55} +(0.269648 + 2.63197i) q^{56} +(-2.45604 - 4.48992i) q^{57} +(-0.558546 - 0.203294i) q^{58} +(-4.31431 + 3.62014i) q^{59} +(2.73572 + 0.547683i) q^{60} +(-1.62718 - 4.47064i) q^{61} +(2.75687 - 4.77505i) q^{62} +(-3.57773 + 7.08518i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-3.16189 + 3.76819i) q^{65} +(2.28579 - 0.348928i) q^{66} +(-1.70023 - 9.64250i) q^{67} +(0.488670 + 2.77139i) q^{68} +(0.850754 - 0.681076i) q^{69} +(-3.88879 - 1.74365i) q^{70} +(5.73392 - 3.31048i) q^{71} +(-0.138262 + 2.99681i) q^{72} +(7.98703 + 4.61131i) q^{73} +(2.92757 + 8.04343i) q^{74} +(2.75075 - 3.12883i) q^{75} +(1.89927 + 2.26347i) q^{76} +(-3.52279 - 0.255633i) q^{77} +(-4.51846 - 2.74951i) q^{78} +(0.490904 - 2.78405i) q^{79} -1.61081 q^{80} +(-5.19855 + 7.34677i) q^{81} -2.96897i q^{82} +(0.953973 - 5.41025i) q^{83} +(1.22242 - 4.41652i) q^{84} +(-4.25967 - 1.55039i) q^{85} +(-6.77666 - 8.07611i) q^{86} +(0.773193 + 0.679763i) q^{87} +(-1.25448 + 0.456594i) q^{88} +(-5.41860 + 9.38529i) q^{89} +(-4.06921 - 2.60653i) q^{90} +(5.79714 + 5.62772i) q^{91} +(-0.404437 + 0.481989i) q^{92} +(-7.45535 + 5.96842i) q^{93} +(-7.53057 + 1.32784i) q^{94} +(-4.68723 + 0.826485i) q^{95} +(-0.261371 - 1.71222i) q^{96} +(11.0771 - 13.2012i) q^{97} +(-3.31871 + 6.16329i) q^{98} +(-3.90789 - 0.876491i) 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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

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

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
\(3\) −1.47964 0.900370i −0.854270 0.519829i
\(4\) 0.939693 + 0.342020i 0.469846 + 0.171010i
\(5\) −1.23395 + 1.03541i −0.551841 + 0.463049i −0.875564 0.483103i \(-0.839510\pi\)
0.323723 + 0.946152i \(0.395065\pi\)
\(6\) −1.30081 1.14363i −0.531055 0.466884i
\(7\) 1.54951 + 2.14453i 0.585659 + 0.810557i
\(8\) 0.866025 + 0.500000i 0.306186 + 0.176777i
\(9\) 1.37867 + 2.66445i 0.459556 + 0.888149i
\(10\) −1.39500 + 0.805406i −0.441139 + 0.254692i
\(11\) −0.858116 + 1.02266i −0.258732 + 0.308344i −0.879736 0.475463i \(-0.842281\pi\)
0.621004 + 0.783807i \(0.286725\pi\)
\(12\) −1.08246 1.35214i −0.312480 0.390328i
\(13\) 3.00736 0.530279i 0.834092 0.147073i 0.259737 0.965679i \(-0.416364\pi\)
0.574355 + 0.818606i \(0.305253\pi\)
\(14\) 1.15357 + 2.38102i 0.308306 + 0.636355i
\(15\) 2.75806 0.421019i 0.712128 0.108707i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) 1.40707 + 2.43712i 0.341265 + 0.591088i 0.984668 0.174440i \(-0.0558114\pi\)
−0.643403 + 0.765528i \(0.722478\pi\)
\(18\) 0.895047 + 2.86337i 0.210965 + 0.674903i
\(19\) 2.55888 + 1.47737i 0.587048 + 0.338932i 0.763929 0.645300i \(-0.223268\pi\)
−0.176881 + 0.984232i \(0.556601\pi\)
\(20\) −1.51367 + 0.550930i −0.338466 + 0.123192i
\(21\) −0.361842 4.56827i −0.0789604 0.996878i
\(22\) −1.02266 + 0.858116i −0.218032 + 0.182951i
\(23\) −0.215196 + 0.591247i −0.0448715 + 0.123284i −0.960104 0.279642i \(-0.909784\pi\)
0.915233 + 0.402925i \(0.132007\pi\)
\(24\) −0.831221 1.51956i −0.169672 0.310180i
\(25\) −0.417673 + 2.36874i −0.0835347 + 0.473749i
\(26\) 3.05376 0.598891
\(27\) 0.359055 5.18373i 0.0691002 0.997610i
\(28\) 0.722589 + 2.54517i 0.136556 + 0.480991i
\(29\) −0.585362 0.103215i −0.108699 0.0191666i 0.119034 0.992890i \(-0.462020\pi\)
−0.227733 + 0.973724i \(0.573131\pi\)
\(30\) 2.78927 + 0.0643089i 0.509248 + 0.0117411i
\(31\) 1.88581 5.18123i 0.338702 0.930576i −0.647061 0.762438i \(-0.724002\pi\)
0.985763 0.168138i \(-0.0537755\pi\)
\(32\) 0.642788 + 0.766044i 0.113630 + 0.135419i
\(33\) 2.19048 0.740551i 0.381313 0.128913i
\(34\) 0.962493 + 2.64443i 0.165066 + 0.453516i
\(35\) −4.13249 1.04188i −0.698519 0.176109i
\(36\) 0.384230 + 2.97529i 0.0640383 + 0.495882i
\(37\) 4.27982 + 7.41287i 0.703598 + 1.21867i 0.967195 + 0.254035i \(0.0817579\pi\)
−0.263597 + 0.964633i \(0.584909\pi\)
\(38\) 2.26347 + 1.89927i 0.367183 + 0.308103i
\(39\) −4.92726 1.92312i −0.788993 0.307945i
\(40\) −1.58634 + 0.279715i −0.250822 + 0.0442267i
\(41\) −0.515556 2.92386i −0.0805162 0.456630i −0.998234 0.0593981i \(-0.981082\pi\)
0.917718 0.397232i \(-0.130029\pi\)
\(42\) 0.436926 4.56170i 0.0674192 0.703885i
\(43\) −8.07611 6.77666i −1.23160 1.03343i −0.998134 0.0610656i \(-0.980550\pi\)
−0.233462 0.972366i \(-0.575005\pi\)
\(44\) −1.15614 + 0.667496i −0.174294 + 0.100629i
\(45\) −4.46001 1.86032i −0.664858 0.277320i
\(46\) −0.314596 + 0.544896i −0.0463846 + 0.0803405i
\(47\) −7.18559 + 2.61534i −1.04813 + 0.381487i −0.807955 0.589244i \(-0.799426\pi\)
−0.240171 + 0.970731i \(0.577203\pi\)
\(48\) −0.554723 1.64082i −0.0800674 0.236832i
\(49\) −2.19804 + 6.64595i −0.314006 + 0.949421i
\(50\) −0.822656 + 2.26023i −0.116341 + 0.319645i
\(51\) 0.112350 4.87294i 0.0157321 0.682348i
\(52\) 3.00736 + 0.530279i 0.417046 + 0.0735365i
\(53\) 9.51219i 1.30660i −0.757099 0.653300i \(-0.773384\pi\)
0.757099 0.653300i \(-0.226616\pi\)
\(54\) 1.25375 5.04263i 0.170613 0.686215i
\(55\) 2.15042i 0.289962i
\(56\) 0.269648 + 2.63197i 0.0360332 + 0.351712i
\(57\) −2.45604 4.48992i −0.325311 0.594705i
\(58\) −0.558546 0.203294i −0.0733407 0.0266938i
\(59\) −4.31431 + 3.62014i −0.561675 + 0.471302i −0.878872 0.477058i \(-0.841703\pi\)
0.317196 + 0.948360i \(0.397259\pi\)
\(60\) 2.73572 + 0.547683i 0.353180 + 0.0707056i
\(61\) −1.62718 4.47064i −0.208339 0.572407i 0.790878 0.611974i \(-0.209624\pi\)
−0.999217 + 0.0395669i \(0.987402\pi\)
\(62\) 2.75687 4.77505i 0.350123 0.606431i
\(63\) −3.57773 + 7.08518i −0.450752 + 0.892649i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) −3.16189 + 3.76819i −0.392184 + 0.467387i
\(66\) 2.28579 0.348928i 0.281362 0.0429500i
\(67\) −1.70023 9.64250i −0.207716 1.17802i −0.893108 0.449843i \(-0.851480\pi\)
0.685391 0.728175i \(-0.259631\pi\)
\(68\) 0.488670 + 2.77139i 0.0592600 + 0.336080i
\(69\) 0.850754 0.681076i 0.102419 0.0819919i
\(70\) −3.88879 1.74365i −0.464799 0.208406i
\(71\) 5.73392 3.31048i 0.680491 0.392882i −0.119549 0.992828i \(-0.538145\pi\)
0.800040 + 0.599947i \(0.204812\pi\)
\(72\) −0.138262 + 2.99681i −0.0162943 + 0.353178i
\(73\) 7.98703 + 4.61131i 0.934811 + 0.539714i 0.888330 0.459206i \(-0.151866\pi\)
0.0464813 + 0.998919i \(0.485199\pi\)
\(74\) 2.92757 + 8.04343i 0.340323 + 0.935030i
\(75\) 2.75075 3.12883i 0.317629 0.361286i
\(76\) 1.89927 + 2.26347i 0.217862 + 0.259637i
\(77\) −3.52279 0.255633i −0.401459 0.0291321i
\(78\) −4.51846 2.74951i −0.511615 0.311321i
\(79\) 0.490904 2.78405i 0.0552310 0.313230i −0.944659 0.328053i \(-0.893607\pi\)
0.999890 + 0.0148230i \(0.00471850\pi\)
\(80\) −1.61081 −0.180094
\(81\) −5.19855 + 7.34677i −0.577617 + 0.816308i
\(82\) 2.96897i 0.327867i
\(83\) 0.953973 5.41025i 0.104712 0.593852i −0.886623 0.462493i \(-0.846955\pi\)
0.991335 0.131359i \(-0.0419340\pi\)
\(84\) 1.22242 4.41652i 0.133377 0.481882i
\(85\) −4.25967 1.55039i −0.462027 0.168164i
\(86\) −6.77666 8.07611i −0.730746 0.870870i
\(87\) 0.773193 + 0.679763i 0.0828950 + 0.0728783i
\(88\) −1.25448 + 0.456594i −0.133728 + 0.0486731i
\(89\) −5.41860 + 9.38529i −0.574371 + 0.994839i 0.421739 + 0.906717i \(0.361420\pi\)
−0.996110 + 0.0881218i \(0.971914\pi\)
\(90\) −4.06921 2.60653i −0.428932 0.274752i
\(91\) 5.79714 + 5.62772i 0.607705 + 0.589945i
\(92\) −0.404437 + 0.481989i −0.0421654 + 0.0502508i
\(93\) −7.45535 + 5.96842i −0.773083 + 0.618897i
\(94\) −7.53057 + 1.32784i −0.776719 + 0.136957i
\(95\) −4.68723 + 0.826485i −0.480900 + 0.0847956i
\(96\) −0.261371 1.71222i −0.0266760 0.174752i
\(97\) 11.0771 13.2012i 1.12471 1.34038i 0.191315 0.981529i \(-0.438725\pi\)
0.933396 0.358849i \(-0.116831\pi\)
\(98\) −3.31871 + 6.16329i −0.335240 + 0.622587i
\(99\) −3.90789 0.876491i −0.392757 0.0880907i
\(100\) −1.20264 + 2.08304i −0.120264 + 0.208304i
\(101\) −7.40197 + 2.69410i −0.736524 + 0.268073i −0.682924 0.730490i \(-0.739292\pi\)
−0.0536001 + 0.998562i \(0.517070\pi\)
\(102\) 0.956820 4.77940i 0.0947393 0.473231i
\(103\) 2.83585 + 3.37964i 0.279425 + 0.333005i 0.887443 0.460918i \(-0.152480\pi\)
−0.608018 + 0.793923i \(0.708035\pi\)
\(104\) 2.86959 + 1.04445i 0.281387 + 0.102416i
\(105\) 5.17653 + 5.26237i 0.505177 + 0.513555i
\(106\) 1.65177 9.36768i 0.160434 0.909869i
\(107\) 17.8645i 1.72703i −0.504324 0.863515i \(-0.668258\pi\)
0.504324 0.863515i \(-0.331742\pi\)
\(108\) 2.11034 4.74831i 0.203068 0.456906i
\(109\) 18.9891 1.81882 0.909412 0.415896i \(-0.136532\pi\)
0.909412 + 0.415896i \(0.136532\pi\)
\(110\) 0.373416 2.11775i 0.0356039 0.201919i
\(111\) 0.341729 14.8218i 0.0324355 1.40682i
\(112\) −0.191487 + 2.63881i −0.0180938 + 0.249344i
\(113\) 3.78398 + 4.50957i 0.355967 + 0.424224i 0.914076 0.405543i \(-0.132918\pi\)
−0.558109 + 0.829767i \(0.688473\pi\)
\(114\) −1.63907 4.84820i −0.153513 0.454075i
\(115\) −0.346641 0.952387i −0.0323244 0.0888106i
\(116\) −0.514759 0.297196i −0.0477941 0.0275940i
\(117\) 5.55906 + 7.28188i 0.513935 + 0.673210i
\(118\) −4.87740 + 2.81597i −0.449001 + 0.259231i
\(119\) −3.04621 + 6.79384i −0.279246 + 0.622791i
\(120\) 2.59906 + 1.01442i 0.237260 + 0.0926031i
\(121\) 1.60065 + 9.07776i 0.145514 + 0.825251i
\(122\) −0.826142 4.68528i −0.0747954 0.424186i
\(123\) −1.86972 + 4.79045i −0.168587 + 0.431940i
\(124\) 3.54417 4.22378i 0.318276 0.379306i
\(125\) −5.96426 10.3304i −0.533460 0.923979i
\(126\) −4.75371 + 6.35628i −0.423494 + 0.566262i
\(127\) 0.664345 1.15068i 0.0589511 0.102106i −0.835044 0.550184i \(-0.814558\pi\)
0.893995 + 0.448077i \(0.147891\pi\)
\(128\) 0.342020 + 0.939693i 0.0302306 + 0.0830579i
\(129\) 5.84823 + 17.2985i 0.514908 + 1.52305i
\(130\) −3.76819 + 3.16189i −0.330492 + 0.277316i
\(131\) 6.48704 + 2.36109i 0.566775 + 0.206289i 0.609484 0.792798i \(-0.291377\pi\)
−0.0427090 + 0.999088i \(0.513599\pi\)
\(132\) 2.31166 + 0.0532972i 0.201204 + 0.00463893i
\(133\) 0.796740 + 7.77681i 0.0690861 + 0.674335i
\(134\) 9.79125i 0.845835i
\(135\) 4.92423 + 6.76825i 0.423810 + 0.582518i
\(136\) 2.81414i 0.241311i
\(137\) 16.5255 + 2.91388i 1.41187 + 0.248950i 0.827010 0.562188i \(-0.190040\pi\)
0.584855 + 0.811138i \(0.301151\pi\)
\(138\) 0.956097 0.522997i 0.0813884 0.0445205i
\(139\) 4.85763 13.3462i 0.412019 1.13201i −0.544096 0.839023i \(-0.683127\pi\)
0.956115 0.292990i \(-0.0946503\pi\)
\(140\) −3.52693 2.39244i −0.298080 0.202198i
\(141\) 12.9869 + 2.59993i 1.09369 + 0.218953i
\(142\) 6.22167 2.26450i 0.522111 0.190033i
\(143\) −2.03837 + 3.53056i −0.170457 + 0.295240i
\(144\) −0.656552 + 2.92728i −0.0547127 + 0.243940i
\(145\) 0.829179 0.478727i 0.0688596 0.0397561i
\(146\) 7.06494 + 5.92819i 0.584699 + 0.490621i
\(147\) 9.23612 7.85455i 0.761783 0.647833i
\(148\) 1.48637 + 8.42960i 0.122179 + 0.692909i
\(149\) −16.7575 + 2.95480i −1.37283 + 0.242067i −0.810932 0.585140i \(-0.801040\pi\)
−0.561897 + 0.827207i \(0.689928\pi\)
\(150\) 3.25228 2.60363i 0.265547 0.212586i
\(151\) −9.56348 8.02471i −0.778265 0.653042i 0.164546 0.986369i \(-0.447384\pi\)
−0.942811 + 0.333328i \(0.891828\pi\)
\(152\) 1.47737 + 2.55888i 0.119831 + 0.207553i
\(153\) −4.55369 + 7.10904i −0.368144 + 0.574732i
\(154\) −3.42488 0.863475i −0.275985 0.0695808i
\(155\) 3.03769 + 8.34598i 0.243993 + 0.670365i
\(156\) −3.97237 3.49236i −0.318044 0.279613i
\(157\) 1.12277 + 1.33807i 0.0896069 + 0.106789i 0.808985 0.587830i \(-0.200017\pi\)
−0.719378 + 0.694619i \(0.755573\pi\)
\(158\) 0.966891 2.65651i 0.0769217 0.211341i
\(159\) −8.56449 + 14.0746i −0.679208 + 1.11619i
\(160\) −1.58634 0.279715i −0.125411 0.0221134i
\(161\) −1.60140 + 0.454647i −0.126208 + 0.0358312i
\(162\) −6.39533 + 6.33244i −0.502464 + 0.497524i
\(163\) 12.8614 1.00738 0.503692 0.863883i \(-0.331975\pi\)
0.503692 + 0.863883i \(0.331975\pi\)
\(164\) 0.515556 2.92386i 0.0402581 0.228315i
\(165\) −1.93617 + 3.18185i −0.150731 + 0.247706i
\(166\) 1.87896 5.16240i 0.145836 0.400680i
\(167\) 4.70594 3.94876i 0.364157 0.305564i −0.442288 0.896873i \(-0.645833\pi\)
0.806445 + 0.591309i \(0.201389\pi\)
\(168\) 1.97077 4.13716i 0.152048 0.319189i
\(169\) −3.45297 + 1.25678i −0.265613 + 0.0966753i
\(170\) −3.92574 2.26653i −0.301090 0.173835i
\(171\) −0.408528 + 8.85481i −0.0312409 + 0.677145i
\(172\) −5.27131 9.13017i −0.401934 0.696169i
\(173\) −10.3712 8.70250i −0.788510 0.661639i 0.156866 0.987620i \(-0.449861\pi\)
−0.945376 + 0.325981i \(0.894305\pi\)
\(174\) 0.643407 + 0.803700i 0.0487765 + 0.0609283i
\(175\) −5.72704 + 2.77468i −0.432923 + 0.209746i
\(176\) −1.31471 + 0.231819i −0.0991000 + 0.0174740i
\(177\) 9.64309 1.47202i 0.724819 0.110644i
\(178\) −6.96602 + 8.30178i −0.522125 + 0.622245i
\(179\) 13.2920 7.67414i 0.993491 0.573592i 0.0871749 0.996193i \(-0.472216\pi\)
0.906316 + 0.422601i \(0.138883\pi\)
\(180\) −3.55477 3.27354i −0.264957 0.243995i
\(181\) −13.4024 7.73789i −0.996194 0.575153i −0.0890738 0.996025i \(-0.528391\pi\)
−0.907120 + 0.420872i \(0.861724\pi\)
\(182\) 4.73182 + 6.54888i 0.350746 + 0.485435i
\(183\) −1.61759 + 8.08001i −0.119576 + 0.597291i
\(184\) −0.481989 + 0.404437i −0.0355327 + 0.0298155i
\(185\) −12.9565 4.71576i −0.952578 0.346710i
\(186\) −8.37849 + 4.58314i −0.614340 + 0.336052i
\(187\) −3.69978 0.652371i −0.270555 0.0477061i
\(188\) −7.64674 −0.557696
\(189\) 11.6730 7.26223i 0.849089 0.528250i
\(190\) −4.75954 −0.345293
\(191\) −8.65857 1.52674i −0.626512 0.110471i −0.148627 0.988893i \(-0.547485\pi\)
−0.477885 + 0.878422i \(0.658596\pi\)
\(192\) 0.0399233 1.73159i 0.00288122 0.124967i
\(193\) −8.00807 2.91470i −0.576433 0.209805i 0.0373188 0.999303i \(-0.488118\pi\)
−0.613752 + 0.789499i \(0.710341\pi\)
\(194\) 13.2012 11.0771i 0.947790 0.795290i
\(195\) 8.07122 2.72870i 0.577992 0.195406i
\(196\) −4.33853 + 5.49337i −0.309895 + 0.392384i
\(197\) 19.7723 + 11.4156i 1.40872 + 0.813326i 0.995265 0.0971984i \(-0.0309881\pi\)
0.413456 + 0.910524i \(0.364321\pi\)
\(198\) −3.69632 1.54177i −0.262686 0.109569i
\(199\) −12.2929 + 7.09732i −0.871423 + 0.503116i −0.867821 0.496877i \(-0.834480\pi\)
−0.00360183 + 0.999994i \(0.501146\pi\)
\(200\) −1.54609 + 1.84256i −0.109325 + 0.130288i
\(201\) −6.16608 + 15.7983i −0.434922 + 1.11432i
\(202\) −7.75734 + 1.36783i −0.545805 + 0.0962401i
\(203\) −0.685675 1.41526i −0.0481250 0.0993318i
\(204\) 1.77222 4.54064i 0.124080 0.317908i
\(205\) 3.66357 + 3.07410i 0.255875 + 0.214704i
\(206\) 2.20590 + 3.82073i 0.153692 + 0.266203i
\(207\) −1.87203 + 0.241754i −0.130115 + 0.0168031i
\(208\) 2.64463 + 1.52688i 0.183372 + 0.105870i
\(209\) −3.70667 + 1.34912i −0.256396 + 0.0933204i
\(210\) 4.18408 + 6.08132i 0.288729 + 0.419651i
\(211\) −10.7778 + 9.04368i −0.741977 + 0.622593i −0.933368 0.358921i \(-0.883145\pi\)
0.191391 + 0.981514i \(0.438700\pi\)
\(212\) 3.25336 8.93853i 0.223442 0.613901i
\(213\) −11.4648 0.264331i −0.785554 0.0181116i
\(214\) 3.10214 17.5931i 0.212058 1.20264i
\(215\) 16.9822 1.15817
\(216\) 2.90282 4.30972i 0.197512 0.293239i
\(217\) 14.0334 3.98417i 0.952649 0.270463i
\(218\) 18.7006 + 3.29742i 1.26656 + 0.223329i
\(219\) −7.66604 14.0144i −0.518023 0.947003i
\(220\) 0.735487 2.02073i 0.0495865 0.136238i
\(221\) 5.52392 + 6.58316i 0.371579 + 0.442831i
\(222\) 2.91032 14.5373i 0.195328 0.975678i
\(223\) 0.747167 + 2.05282i 0.0500340 + 0.137467i 0.962192 0.272370i \(-0.0878076\pi\)
−0.912159 + 0.409838i \(0.865585\pi\)
\(224\) −0.646802 + 2.56547i −0.0432163 + 0.171413i
\(225\) −6.88722 + 2.15284i −0.459148 + 0.143523i
\(226\) 2.94341 + 5.09814i 0.195793 + 0.339123i
\(227\) 16.9563 + 14.2280i 1.12543 + 0.944347i 0.998866 0.0476119i \(-0.0151611\pi\)
0.126563 + 0.991959i \(0.459606\pi\)
\(228\) −0.772284 5.05916i −0.0511457 0.335051i
\(229\) −25.7303 + 4.53695i −1.70031 + 0.299810i −0.937802 0.347170i \(-0.887143\pi\)
−0.762507 + 0.646980i \(0.776032\pi\)
\(230\) −0.175994 0.998112i −0.0116047 0.0658136i
\(231\) 4.98230 + 3.55006i 0.327811 + 0.233577i
\(232\) −0.455331 0.382068i −0.0298939 0.0250840i
\(233\) 7.70772 4.45006i 0.504950 0.291533i −0.225806 0.974172i \(-0.572501\pi\)
0.730755 + 0.682640i \(0.239168\pi\)
\(234\) 4.21012 + 8.13657i 0.275224 + 0.531904i
\(235\) 6.15873 10.6672i 0.401751 0.695854i
\(236\) −5.29228 + 1.92623i −0.344498 + 0.125387i
\(237\) −3.23304 + 3.67740i −0.210008 + 0.238873i
\(238\) −4.17967 + 6.16166i −0.270928 + 0.399401i
\(239\) −7.59992 + 20.8806i −0.491598 + 1.35066i 0.407619 + 0.913152i \(0.366359\pi\)
−0.899217 + 0.437503i \(0.855863\pi\)
\(240\) 2.38342 + 1.45033i 0.153849 + 0.0936182i
\(241\) 4.21678 + 0.743533i 0.271627 + 0.0478952i 0.307802 0.951450i \(-0.400406\pi\)
−0.0361755 + 0.999345i \(0.511518\pi\)
\(242\) 9.21780i 0.592543i
\(243\) 14.3068 6.18996i 0.917781 0.397086i
\(244\) 4.75756i 0.304572i
\(245\) −4.16899 10.4767i −0.266347 0.669330i
\(246\) −2.67317 + 4.39300i −0.170435 + 0.280087i
\(247\) 8.47891 + 3.08607i 0.539500 + 0.196362i
\(248\) 4.22378 3.54417i 0.268210 0.225055i
\(249\) −6.28276 + 7.14629i −0.398154 + 0.452878i
\(250\) −4.07979 11.2091i −0.258029 0.708928i
\(251\) 10.6916 18.5183i 0.674845 1.16887i −0.301669 0.953413i \(-0.597544\pi\)
0.976514 0.215453i \(-0.0691229\pi\)
\(252\) −5.78525 + 5.43424i −0.364436 + 0.342325i
\(253\) −0.419983 0.727431i −0.0264041 0.0457332i
\(254\) 0.854066 1.01784i 0.0535889 0.0638647i
\(255\) 4.90686 + 6.12931i 0.307279 + 0.383832i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) −4.42674 25.1053i −0.276132 1.56602i −0.735342 0.677696i \(-0.762979\pi\)
0.459210 0.888328i \(-0.348133\pi\)
\(258\) 2.75553 + 18.0512i 0.171552 + 1.12382i
\(259\) −9.26552 + 20.6645i −0.575731 + 1.28403i
\(260\) −4.26000 + 2.45951i −0.264194 + 0.152533i
\(261\) −0.532009 1.70196i −0.0329305 0.105349i
\(262\) 5.97849 + 3.45168i 0.369352 + 0.213246i
\(263\) 3.73502 + 10.2619i 0.230311 + 0.632775i 0.999984 0.00566357i \(-0.00180278\pi\)
−0.769673 + 0.638439i \(0.779581\pi\)
\(264\) 2.26728 + 0.453903i 0.139542 + 0.0279358i
\(265\) 9.84901 + 11.7376i 0.605020 + 0.721035i
\(266\) −0.565794 + 7.79702i −0.0346910 + 0.478066i
\(267\) 16.4678 9.00811i 1.00781 0.551287i
\(268\) 1.70023 9.64250i 0.103858 0.589009i
\(269\) 20.2212 1.23291 0.616453 0.787392i \(-0.288569\pi\)
0.616453 + 0.787392i \(0.288569\pi\)
\(270\) 3.67412 + 7.52051i 0.223600 + 0.457684i
\(271\) 7.86035i 0.477482i 0.971083 + 0.238741i \(0.0767347\pi\)
−0.971083 + 0.238741i \(0.923265\pi\)
\(272\) −0.488670 + 2.77139i −0.0296300 + 0.168040i
\(273\) −3.51065 13.5466i −0.212474 0.819875i
\(274\) 15.7684 + 5.73923i 0.952604 + 0.346720i
\(275\) −2.06401 2.45980i −0.124465 0.148331i
\(276\) 1.03239 0.349027i 0.0621425 0.0210090i
\(277\) −1.23731 + 0.450344i −0.0743428 + 0.0270585i −0.378924 0.925428i \(-0.623706\pi\)
0.304581 + 0.952486i \(0.401484\pi\)
\(278\) 7.10138 12.3000i 0.425913 0.737702i
\(279\) 16.4050 2.11855i 0.982142 0.126834i
\(280\) −3.05790 2.96854i −0.182745 0.177404i
\(281\) −0.487455 + 0.580926i −0.0290791 + 0.0346551i −0.780388 0.625296i \(-0.784978\pi\)
0.751309 + 0.659951i \(0.229423\pi\)
\(282\) 12.3381 + 4.81557i 0.734722 + 0.286763i
\(283\) −21.6811 + 3.82296i −1.28881 + 0.227251i −0.775716 0.631083i \(-0.782611\pi\)
−0.513091 + 0.858334i \(0.671500\pi\)
\(284\) 6.52037 1.14972i 0.386913 0.0682232i
\(285\) 7.67955 + 2.99734i 0.454897 + 0.177547i
\(286\) −2.62048 + 3.12296i −0.154952 + 0.184665i
\(287\) 5.47146 5.63617i 0.322970 0.332693i
\(288\) −1.15489 + 2.76879i −0.0680528 + 0.163153i
\(289\) 4.54031 7.86404i 0.267077 0.462591i
\(290\) 0.899712 0.327468i 0.0528329 0.0192296i
\(291\) −28.2761 + 9.55951i −1.65757 + 0.560388i
\(292\) 5.92819 + 7.06494i 0.346921 + 0.413445i
\(293\) 4.66225 + 1.69692i 0.272372 + 0.0991352i 0.474595 0.880204i \(-0.342594\pi\)
−0.202223 + 0.979339i \(0.564817\pi\)
\(294\) 10.4597 6.13139i 0.610024 0.357590i
\(295\) 1.57533 8.93416i 0.0917194 0.520167i
\(296\) 8.55964i 0.497519i
\(297\) 4.99310 + 4.81543i 0.289729 + 0.279420i
\(298\) −17.0160 −0.985712
\(299\) −0.333647 + 1.89221i −0.0192953 + 0.109429i
\(300\) 3.65498 1.99932i 0.211021 0.115431i
\(301\) 2.01877 27.8200i 0.116360 1.60352i
\(302\) −8.02471 9.56348i −0.461770 0.550316i
\(303\) 13.3779 + 2.67822i 0.768542 + 0.153860i
\(304\) 1.01058 + 2.77655i 0.0579609 + 0.159246i
\(305\) 6.63682 + 3.83177i 0.380023 + 0.219406i
\(306\) −5.71898 + 6.21030i −0.326932 + 0.355019i
\(307\) −13.9385 + 8.04741i −0.795513 + 0.459290i −0.841900 0.539634i \(-0.818563\pi\)
0.0463867 + 0.998924i \(0.485229\pi\)
\(308\) −3.22291 1.44508i −0.183642 0.0823412i
\(309\) −1.15312 7.55396i −0.0655985 0.429730i
\(310\) 1.54228 + 8.74668i 0.0875953 + 0.496778i
\(311\) 1.87360 + 10.6257i 0.106242 + 0.602528i 0.990717 + 0.135941i \(0.0434057\pi\)
−0.884475 + 0.466588i \(0.845483\pi\)
\(312\) −3.30557 4.12910i −0.187141 0.233764i
\(313\) 1.11287 1.32626i 0.0629029 0.0749648i −0.733675 0.679500i \(-0.762197\pi\)
0.796578 + 0.604535i \(0.206641\pi\)
\(314\) 0.873361 + 1.51271i 0.0492866 + 0.0853669i
\(315\) −2.92131 12.4472i −0.164597 0.701321i
\(316\) 1.41350 2.44825i 0.0795156 0.137725i
\(317\) −8.46341 23.2530i −0.475352 1.30602i −0.913398 0.407067i \(-0.866551\pi\)
0.438046 0.898953i \(-0.355671\pi\)
\(318\) −10.8784 + 12.3736i −0.610031 + 0.693876i
\(319\) 0.607862 0.510057i 0.0340338 0.0285577i
\(320\) −1.51367 0.550930i −0.0846166 0.0307979i
\(321\) −16.0847 + 26.4331i −0.897760 + 1.47535i
\(322\) −1.65602 + 0.169660i −0.0922862 + 0.00945479i
\(323\) 8.31507i 0.462663i
\(324\) −7.39778 + 5.12570i −0.410988 + 0.284761i
\(325\) 7.34516i 0.407436i
\(326\) 12.6660 + 2.23336i 0.701506 + 0.123695i
\(327\) −28.0970 17.0972i −1.55377 0.945477i
\(328\) 1.01545 2.78992i 0.0560686 0.154047i
\(329\) −16.7428 11.3572i −0.923061 0.626145i
\(330\) −2.45928 + 2.79729i −0.135379 + 0.153986i
\(331\) −12.1005 + 4.40421i −0.665103 + 0.242078i −0.652438 0.757842i \(-0.726254\pi\)
−0.0126647 + 0.999920i \(0.504031\pi\)
\(332\) 2.74686 4.75769i 0.150753 0.261112i
\(333\) −13.8507 + 21.6232i −0.759016 + 1.18495i
\(334\) 5.32015 3.07159i 0.291105 0.168070i
\(335\) 12.0819 + 10.1380i 0.660107 + 0.553896i
\(336\) 2.65924 3.73208i 0.145073 0.203602i
\(337\) −4.59736 26.0729i −0.250434 1.42028i −0.807526 0.589831i \(-0.799194\pi\)
0.557092 0.830451i \(-0.311917\pi\)
\(338\) −3.61875 + 0.638083i −0.196834 + 0.0347071i
\(339\) −1.53864 10.0795i −0.0835676 0.547444i
\(340\) −3.47252 2.91379i −0.188324 0.158022i
\(341\) 3.68040 + 6.37464i 0.199305 + 0.345206i
\(342\) −1.93994 + 8.64935i −0.104900 + 0.467703i
\(343\) −17.6583 + 5.58418i −0.953461 + 0.301517i
\(344\) −3.60579 9.90682i −0.194411 0.534140i
\(345\) −0.344598 + 1.72130i −0.0185525 + 0.0926714i
\(346\) −8.70250 10.3712i −0.467849 0.557561i
\(347\) 7.73200 21.2435i 0.415076 1.14041i −0.539381 0.842062i \(-0.681342\pi\)
0.954457 0.298349i \(-0.0964359\pi\)
\(348\) 0.494071 + 0.903216i 0.0264850 + 0.0484175i
\(349\) −3.90419 0.688414i −0.208987 0.0368500i 0.0681746 0.997673i \(-0.478282\pi\)
−0.277161 + 0.960823i \(0.589394\pi\)
\(350\) −6.12185 + 1.73803i −0.327227 + 0.0929017i
\(351\) −1.66902 15.7798i −0.0890855 0.842261i
\(352\) −1.33499 −0.0711553
\(353\) 5.87765 33.3338i 0.312836 1.77418i −0.271272 0.962503i \(-0.587444\pi\)
0.584108 0.811676i \(-0.301445\pi\)
\(354\) 9.75220 + 0.224845i 0.518324 + 0.0119504i
\(355\) −3.64769 + 10.0219i −0.193599 + 0.531909i
\(356\) −8.30178 + 6.96602i −0.439993 + 0.369198i
\(357\) 10.6243 7.30973i 0.562296 0.386872i
\(358\) 14.4227 5.24942i 0.762262 0.277441i
\(359\) −21.2093 12.2452i −1.11938 0.646277i −0.178141 0.984005i \(-0.557008\pi\)
−0.941244 + 0.337728i \(0.890342\pi\)
\(360\) −2.93232 3.84108i −0.154547 0.202443i
\(361\) −5.13474 8.89364i −0.270250 0.468086i
\(362\) −11.8551 9.94764i −0.623092 0.522836i
\(363\) 5.80495 14.8730i 0.304681 0.780630i
\(364\) 3.52273 + 7.27106i 0.184641 + 0.381107i
\(365\) −14.6302 + 2.57970i −0.765781 + 0.135028i
\(366\) −2.99610 + 7.67636i −0.156608 + 0.401250i
\(367\) −2.56756 + 3.05990i −0.134025 + 0.159725i −0.828883 0.559422i \(-0.811023\pi\)
0.694857 + 0.719148i \(0.255467\pi\)
\(368\) −0.544896 + 0.314596i −0.0284047 + 0.0163994i
\(369\) 7.07969 5.40470i 0.368554 0.281358i
\(370\) −11.9407 6.89399i −0.620769 0.358401i
\(371\) 20.3992 14.7392i 1.05907 0.765222i
\(372\) −9.04705 + 3.05860i −0.469068 + 0.158581i
\(373\) −15.9652 + 13.3964i −0.826648 + 0.693640i −0.954519 0.298151i \(-0.903630\pi\)
0.127871 + 0.991791i \(0.459186\pi\)
\(374\) −3.53029 1.28492i −0.182547 0.0664416i
\(375\) −0.476226 + 20.6553i −0.0245922 + 1.06664i
\(376\) −7.53057 1.32784i −0.388360 0.0684783i
\(377\) −1.81513 −0.0934839
\(378\) 12.7568 5.12490i 0.656138 0.263596i
\(379\) −36.8856 −1.89469 −0.947343 0.320222i \(-0.896243\pi\)
−0.947343 + 0.320222i \(0.896243\pi\)
\(380\) −4.68723 0.826485i −0.240450 0.0423978i
\(381\) −2.01903 + 1.10444i −0.103438 + 0.0565819i
\(382\) −8.26191 3.00709i −0.422716 0.153856i
\(383\) 16.3340 13.7058i 0.834627 0.700335i −0.121722 0.992564i \(-0.538841\pi\)
0.956348 + 0.292229i \(0.0943970\pi\)
\(384\) 0.340004 1.69835i 0.0173508 0.0866686i
\(385\) 4.61165 3.33209i 0.235031 0.169819i
\(386\) −7.38027 4.26100i −0.375646 0.216879i
\(387\) 6.92178 30.8611i 0.351854 1.56876i
\(388\) 14.9242 8.61647i 0.757659 0.437435i
\(389\) 10.6953 12.7462i 0.542274 0.646257i −0.423422 0.905933i \(-0.639171\pi\)
0.965696 + 0.259676i \(0.0836156\pi\)
\(390\) 8.42244 1.28569i 0.426487 0.0651034i
\(391\) −1.74373 + 0.307467i −0.0881844 + 0.0155493i
\(392\) −5.22653 + 4.65654i −0.263980 + 0.235191i
\(393\) −7.47263 9.33430i −0.376944 0.470853i
\(394\) 17.4897 + 14.6756i 0.881117 + 0.739345i
\(395\) 2.27688 + 3.94368i 0.114562 + 0.198428i
\(396\) −3.37243 2.16021i −0.169471 0.108555i
\(397\) 27.8496 + 16.0790i 1.39773 + 0.806981i 0.994155 0.107964i \(-0.0344332\pi\)
0.403578 + 0.914945i \(0.367767\pi\)
\(398\) −13.3386 + 4.85486i −0.668604 + 0.243352i
\(399\) 5.82312 12.2242i 0.291521 0.611978i
\(400\) −1.84256 + 1.54609i −0.0921278 + 0.0773044i
\(401\) −10.9209 + 30.0049i −0.545364 + 1.49838i 0.294539 + 0.955639i \(0.404834\pi\)
−0.839903 + 0.542736i \(0.817388\pi\)
\(402\) −8.81574 + 14.4875i −0.439689 + 0.722572i
\(403\) 2.92383 16.5818i 0.145646 0.826000i
\(404\) −7.87701 −0.391896
\(405\) −1.19216 14.4482i −0.0592387 0.717937i
\(406\) −0.429501 1.51283i −0.0213158 0.0750803i
\(407\) −11.2534 1.98429i −0.557813 0.0983574i
\(408\) 2.53377 4.16391i 0.125440 0.206144i
\(409\) 10.3972 28.5660i 0.514107 1.41250i −0.362813 0.931862i \(-0.618184\pi\)
0.876920 0.480636i \(-0.159594\pi\)
\(410\) 3.07410 + 3.66357i 0.151819 + 0.180931i
\(411\) −21.8282 19.1905i −1.07670 0.946599i
\(412\) 1.50893 + 4.14574i 0.0743394 + 0.204246i
\(413\) −14.4486 3.64275i −0.710967 0.179248i
\(414\) −1.88557 0.0869931i −0.0926707 0.00427548i
\(415\) 4.42467 + 7.66375i 0.217198 + 0.376199i
\(416\) 2.33931 + 1.96292i 0.114694 + 0.0962399i
\(417\) −19.2041 + 15.3740i −0.940429 + 0.752866i
\(418\) −3.88463 + 0.684965i −0.190003 + 0.0335027i
\(419\) 5.87039 + 33.2926i 0.286787 + 1.62645i 0.698831 + 0.715287i \(0.253704\pi\)
−0.412044 + 0.911164i \(0.635185\pi\)
\(420\) 3.06450 + 6.71549i 0.149533 + 0.327682i
\(421\) −1.11407 0.934814i −0.0542964 0.0455601i 0.615236 0.788343i \(-0.289061\pi\)
−0.669532 + 0.742783i \(0.733505\pi\)
\(422\) −12.1845 + 7.03473i −0.593133 + 0.342445i
\(423\) −16.8750 15.5399i −0.820489 0.755577i
\(424\) 4.75609 8.23780i 0.230976 0.400063i
\(425\) −6.36060 + 2.31507i −0.308535 + 0.112297i
\(426\) −11.2447 2.25115i −0.544808 0.109069i
\(427\) 7.06611 10.4168i 0.341953 0.504107i
\(428\) 6.11003 16.7872i 0.295339 0.811438i
\(429\) 6.19486 3.38867i 0.299091 0.163606i
\(430\) 16.7242 + 2.94892i 0.806511 + 0.142210i
\(431\) 23.3590i 1.12516i 0.826742 + 0.562581i \(0.190192\pi\)
−0.826742 + 0.562581i \(0.809808\pi\)
\(432\) 3.60709 3.74017i 0.173546 0.179949i
\(433\) 16.5431i 0.795009i 0.917600 + 0.397505i \(0.130124\pi\)
−0.917600 + 0.397505i \(0.869876\pi\)
\(434\) 14.5120 1.48677i 0.696600 0.0713672i
\(435\) −1.65792 0.0382247i −0.0794911 0.00183273i
\(436\) 17.8439 + 6.49465i 0.854568 + 0.311037i
\(437\) −1.42415 + 1.19501i −0.0681265 + 0.0571649i
\(438\) −5.11601 15.1327i −0.244452 0.723066i
\(439\) −3.41503 9.38272i −0.162990 0.447813i 0.831132 0.556075i \(-0.187693\pi\)
−0.994122 + 0.108263i \(0.965471\pi\)
\(440\) 1.07521 1.86232i 0.0512586 0.0887825i
\(441\) −20.7381 + 3.30598i −0.987530 + 0.157428i
\(442\) 4.29685 + 7.44236i 0.204380 + 0.353997i
\(443\) 1.52547 1.81798i 0.0724771 0.0863748i −0.728588 0.684953i \(-0.759823\pi\)
0.801065 + 0.598578i \(0.204267\pi\)
\(444\) 5.39047 13.8111i 0.255821 0.655444i
\(445\) −3.03132 17.1915i −0.143698 0.814955i
\(446\) 0.379347 + 2.15138i 0.0179626 + 0.101871i
\(447\) 27.4555 + 10.7159i 1.29860 + 0.506846i
\(448\) −1.08247 + 2.41418i −0.0511417 + 0.114059i
\(449\) 8.18840 4.72757i 0.386434 0.223108i −0.294180 0.955750i \(-0.595046\pi\)
0.680614 + 0.732642i \(0.261713\pi\)
\(450\) −7.15643 + 0.924183i −0.337357 + 0.0435664i
\(451\) 3.43253 + 1.98177i 0.161631 + 0.0933180i
\(452\) 2.01341 + 5.53180i 0.0947029 + 0.260194i
\(453\) 6.92529 + 20.4843i 0.325379 + 0.962438i
\(454\) 14.2280 + 16.9563i 0.667754 + 0.795798i
\(455\) −12.9804 0.941927i −0.608530 0.0441582i
\(456\) 0.117963 5.11641i 0.00552413 0.239598i
\(457\) −1.91006 + 10.8325i −0.0893491 + 0.506724i 0.906984 + 0.421165i \(0.138379\pi\)
−0.996333 + 0.0855588i \(0.972732\pi\)
\(458\) −26.1273 −1.22085
\(459\) 13.1386 6.41882i 0.613256 0.299605i
\(460\) 1.01351i 0.0472551i
\(461\) −3.18189 + 18.0454i −0.148196 + 0.840459i 0.816550 + 0.577275i \(0.195884\pi\)
−0.964746 + 0.263184i \(0.915227\pi\)
\(462\) 4.29014 + 4.36129i 0.199596 + 0.202906i
\(463\) −2.11940 0.771399i −0.0984970 0.0358500i 0.292302 0.956326i \(-0.405579\pi\)
−0.390799 + 0.920476i \(0.627801\pi\)
\(464\) −0.382068 0.455331i −0.0177371 0.0211382i
\(465\) 3.01979 15.0841i 0.140039 0.699508i
\(466\) 8.36337 3.04402i 0.387426 0.141011i
\(467\) −20.3798 + 35.2988i −0.943064 + 1.63344i −0.183483 + 0.983023i \(0.558737\pi\)
−0.759581 + 0.650412i \(0.774596\pi\)
\(468\) 2.73325 + 8.74404i 0.126345 + 0.404193i
\(469\) 18.0441 18.5873i 0.833200 0.858284i
\(470\) 7.91751 9.43572i 0.365208 0.435237i
\(471\) −0.456542 2.99077i −0.0210364 0.137807i
\(472\) −5.54637 + 0.977975i −0.255292 + 0.0450149i
\(473\) 13.8605 2.44398i 0.637306 0.112374i
\(474\) −3.82249 + 3.06012i −0.175573 + 0.140556i
\(475\) −4.56829 + 5.44428i −0.209608 + 0.249801i
\(476\) −5.18613 + 5.34226i −0.237706 + 0.244862i
\(477\) 25.3447 13.1141i 1.16045 0.600456i
\(478\) −11.1103 + 19.2437i −0.508175 + 0.880186i
\(479\) −18.5852 + 6.76446i −0.849180 + 0.309076i −0.729706 0.683761i \(-0.760343\pi\)
−0.119474 + 0.992837i \(0.538121\pi\)
\(480\) 2.09537 + 1.84217i 0.0956399 + 0.0840831i
\(481\) 16.8019 + 20.0237i 0.766099 + 0.913001i
\(482\) 4.02361 + 1.46447i 0.183270 + 0.0667050i
\(483\) 2.77884 + 0.769136i 0.126442 + 0.0349969i
\(484\) −1.60065 + 9.07776i −0.0727570 + 0.412625i
\(485\) 27.7590i 1.26047i
\(486\) 15.1643 3.61157i 0.687867 0.163824i
\(487\) 1.03843 0.0470555 0.0235278 0.999723i \(-0.492510\pi\)
0.0235278 + 0.999723i \(0.492510\pi\)
\(488\) 0.826142 4.68528i 0.0373977 0.212093i
\(489\) −19.0303 11.5800i −0.860579 0.523667i
\(490\) −2.28640 11.0414i −0.103289 0.498801i
\(491\) 11.3839 + 13.5669i 0.513750 + 0.612264i 0.959091 0.283097i \(-0.0913620\pi\)
−0.445341 + 0.895361i \(0.646918\pi\)
\(492\) −3.39539 + 3.86207i −0.153076 + 0.174116i
\(493\) −0.572098 1.57183i −0.0257660 0.0707915i
\(494\) 7.81421 + 4.51153i 0.351578 + 0.202984i
\(495\) 5.72968 2.96471i 0.257530 0.133254i
\(496\) 4.77505 2.75687i 0.214406 0.123787i
\(497\) 15.9842 + 7.16696i 0.716989 + 0.321482i
\(498\) −7.42825 + 5.94673i −0.332868 + 0.266480i
\(499\) 0.283498 + 1.60780i 0.0126911 + 0.0719750i 0.990496 0.137545i \(-0.0439211\pi\)
−0.977804 + 0.209520i \(0.932810\pi\)
\(500\) −2.07137 11.7473i −0.0926343 0.525355i
\(501\) −10.5184 + 1.60565i −0.469929 + 0.0717350i
\(502\) 13.7448 16.3804i 0.613460 0.731094i
\(503\) −16.4101 28.4231i −0.731690 1.26732i −0.956160 0.292844i \(-0.905398\pi\)
0.224470 0.974481i \(-0.427935\pi\)
\(504\) −6.64100 + 4.34708i −0.295814 + 0.193634i
\(505\) 6.34419 10.9885i 0.282313 0.488980i
\(506\) −0.287285 0.789309i −0.0127714 0.0350891i
\(507\) 6.24072 + 1.24937i 0.277160 + 0.0554865i
\(508\) 1.01784 0.854066i 0.0451592 0.0378931i
\(509\) 18.9052 + 6.88092i 0.837956 + 0.304991i 0.725120 0.688622i \(-0.241784\pi\)
0.112836 + 0.993614i \(0.464006\pi\)
\(510\) 3.76797 + 6.88826i 0.166848 + 0.305017i
\(511\) 2.48686 + 24.2737i 0.110012 + 1.07381i
\(512\) 1.00000i 0.0441942i
\(513\) 8.57708 12.7341i 0.378687 0.562225i
\(514\) 25.4926i 1.12443i
\(515\) −6.99862 1.23405i −0.308396 0.0543785i
\(516\) −0.420896 + 18.2555i −0.0185289 + 0.803653i
\(517\) 3.49146 9.59270i 0.153554 0.421886i
\(518\) −12.7131 + 18.7416i −0.558582 + 0.823461i
\(519\) 7.51022 + 22.2145i 0.329662 + 0.975109i
\(520\) −4.62237 + 1.68241i −0.202704 + 0.0737784i
\(521\) −3.61052 + 6.25360i −0.158180 + 0.273975i −0.934212 0.356718i \(-0.883896\pi\)
0.776033 + 0.630693i \(0.217229\pi\)
\(522\) −0.228383 1.76849i −0.00999606 0.0774047i
\(523\) 10.2396 5.91186i 0.447748 0.258507i −0.259131 0.965842i \(-0.583436\pi\)
0.706879 + 0.707335i \(0.250103\pi\)
\(524\) 5.28828 + 4.43740i 0.231020 + 0.193849i
\(525\) 10.9722 + 1.05093i 0.478866 + 0.0458665i
\(526\) 1.89632 + 10.7546i 0.0826835 + 0.468921i
\(527\) 15.2807 2.69441i 0.665639 0.117370i
\(528\) 2.15402 + 0.840717i 0.0937417 + 0.0365875i
\(529\) 17.3158 + 14.5296i 0.752859 + 0.631724i
\(530\) 7.66117 + 13.2695i 0.332780 + 0.576392i
\(531\) −15.5937 6.50428i −0.676707 0.282262i
\(532\) −1.91114 + 7.58031i −0.0828582 + 0.328648i
\(533\) −3.10092 8.51972i −0.134316 0.369030i
\(534\) 17.7819 6.01165i 0.769497 0.260149i
\(535\) 18.4971 + 22.0440i 0.799700 + 0.953045i
\(536\) 3.34880 9.20076i 0.144646 0.397412i
\(537\) −26.5769 0.612754i −1.14688 0.0264423i
\(538\) 19.9140 + 3.51137i 0.858552 + 0.151386i
\(539\) −4.91038 7.95085i −0.211505 0.342467i
\(540\) 2.31238 + 8.04426i 0.0995091 + 0.346170i
\(541\) −7.64204 −0.328557 −0.164278 0.986414i \(-0.552530\pi\)
−0.164278 + 0.986414i \(0.552530\pi\)
\(542\) −1.36493 + 7.74093i −0.0586290 + 0.332501i
\(543\) 12.8638 + 23.5164i 0.552038 + 1.00919i
\(544\) −0.962493 + 2.64443i −0.0412665 + 0.113379i
\(545\) −23.4316 + 19.6615i −1.00370 + 0.842205i
\(546\) −1.10498 13.9504i −0.0472887 0.597021i
\(547\) 14.5705 5.30321i 0.622988 0.226749i −0.0111886 0.999937i \(-0.503562\pi\)
0.634176 + 0.773188i \(0.281339\pi\)
\(548\) 14.5322 + 8.39019i 0.620787 + 0.358411i
\(549\) 9.66845 10.4991i 0.412639 0.448090i
\(550\) −1.60552 2.78084i −0.0684595 0.118575i
\(551\) −1.34539 1.12891i −0.0573154 0.0480933i
\(552\) 1.07731 0.164452i 0.0458535 0.00699956i
\(553\) 6.73115 3.26116i 0.286238 0.138678i
\(554\) −1.29671 + 0.228646i −0.0550921 + 0.00971422i
\(555\) 14.9250 + 18.6432i 0.633529 + 0.791361i
\(556\) 9.12936 10.8800i 0.387171 0.461413i
\(557\) 9.97283 5.75781i 0.422562 0.243966i −0.273611 0.961841i \(-0.588218\pi\)
0.696173 + 0.717874i \(0.254885\pi\)
\(558\) 16.5237 + 0.762340i 0.699503 + 0.0322724i
\(559\) −27.8813 16.0973i −1.17925 0.680843i
\(560\) −2.49597 3.45444i −0.105474 0.145977i
\(561\) 4.88696 + 4.29644i 0.206328 + 0.181396i
\(562\) −0.580926 + 0.487455i −0.0245049 + 0.0205620i
\(563\) −3.07419 1.11891i −0.129561 0.0471565i 0.276426 0.961035i \(-0.410850\pi\)
−0.405987 + 0.913879i \(0.633072\pi\)
\(564\) 11.3144 + 6.88490i 0.476423 + 0.289906i
\(565\) −9.33850 1.64663i −0.392874 0.0692742i
\(566\) −22.0156 −0.925383
\(567\) −23.8106 + 0.235433i −0.999951 + 0.00988725i
\(568\) 6.62096 0.277809
\(569\) 4.81930 + 0.849772i 0.202035 + 0.0356243i 0.273750 0.961801i \(-0.411736\pi\)
−0.0717145 + 0.997425i \(0.522847\pi\)
\(570\) 7.04240 + 4.28534i 0.294974 + 0.179493i
\(571\) 8.62540 + 3.13939i 0.360962 + 0.131379i 0.516133 0.856508i \(-0.327371\pi\)
−0.155172 + 0.987888i \(0.549593\pi\)
\(572\) −3.12296 + 2.62048i −0.130578 + 0.109568i
\(573\) 11.4369 + 10.0549i 0.477785 + 0.420051i
\(574\) 6.36705 4.60044i 0.265755 0.192019i
\(575\) −1.31063 0.756693i −0.0546571 0.0315563i
\(576\) −1.61814 + 2.52618i −0.0674227 + 0.105258i
\(577\) 20.7483 11.9790i 0.863762 0.498693i −0.00150808 0.999999i \(-0.500480\pi\)
0.865270 + 0.501305i \(0.167147\pi\)
\(578\) 5.83691 6.95615i 0.242783 0.289338i
\(579\) 9.22475 + 11.5229i 0.383367 + 0.478876i
\(580\) 0.942908 0.166260i 0.0391521 0.00690357i
\(581\) 13.0806 6.33740i 0.542677 0.262920i
\(582\) −29.5065 + 4.50418i −1.22308 + 0.186704i
\(583\) 9.72776 + 8.16256i 0.402883 + 0.338059i
\(584\) 4.61131 + 7.98703i 0.190818 + 0.330506i
\(585\) −14.3993 3.22960i −0.595340 0.133527i
\(586\) 4.29676 + 2.48073i 0.177497 + 0.102478i
\(587\) 4.96633 1.80760i 0.204982 0.0746075i −0.237489 0.971390i \(-0.576324\pi\)
0.442471 + 0.896783i \(0.354102\pi\)
\(588\) 11.3655 4.22193i 0.468707 0.174109i
\(589\) 12.4802 10.4721i 0.514237 0.431496i
\(590\) 3.10280 8.52487i 0.127740 0.350964i
\(591\) −18.9777 34.6934i −0.780639 1.42709i
\(592\) −1.48637 + 8.42960i −0.0610893 + 0.346455i
\(593\) −18.3327 −0.752835 −0.376417 0.926450i \(-0.622844\pi\)
−0.376417 + 0.926450i \(0.622844\pi\)
\(594\) 4.08105 + 5.60932i 0.167448 + 0.230153i
\(595\) −3.27553 11.5374i −0.134284 0.472986i
\(596\) −16.7575 2.95480i −0.686415 0.121033i
\(597\) 24.5793 + 0.566697i 1.00596 + 0.0231934i
\(598\) −0.657157 + 1.80552i −0.0268731 + 0.0738334i
\(599\) 30.4283 + 36.2630i 1.24327 + 1.48167i 0.816541 + 0.577287i \(0.195889\pi\)
0.426726 + 0.904381i \(0.359667\pi\)
\(600\) 3.94663 1.33427i 0.161121 0.0544713i
\(601\) 6.64311 + 18.2518i 0.270978 + 0.744506i 0.998304 + 0.0582140i \(0.0185406\pi\)
−0.727326 + 0.686292i \(0.759237\pi\)
\(602\) 6.81899 27.0468i 0.277921 1.10234i
\(603\) 23.3479 17.8240i 0.950798 0.725849i
\(604\) −6.24212 10.8117i −0.253988 0.439920i
\(605\) −11.3743 9.54420i −0.462432 0.388027i
\(606\) 12.7096 + 4.96059i 0.516293 + 0.201510i
\(607\) −33.5260 + 5.91153i −1.36078 + 0.239942i −0.805930 0.592011i \(-0.798334\pi\)
−0.554847 + 0.831953i \(0.687223\pi\)
\(608\) 0.513086 + 2.90986i 0.0208084 + 0.118010i
\(609\) −0.259706 + 2.71144i −0.0105238 + 0.109873i
\(610\) 5.87061 + 4.92603i 0.237694 + 0.199449i
\(611\) −20.2228 + 11.6756i −0.818127 + 0.472346i
\(612\) −6.71050 + 5.12286i −0.271256 + 0.207079i
\(613\) −5.51139 + 9.54601i −0.222603 + 0.385560i −0.955598 0.294675i \(-0.904789\pi\)
0.732995 + 0.680234i \(0.238122\pi\)
\(614\) −15.1242 + 5.50475i −0.610362 + 0.222154i
\(615\) −2.65293 7.84712i −0.106977 0.316426i
\(616\) −2.92301 1.98278i −0.117771 0.0798885i
\(617\) 4.46670 12.2722i 0.179822 0.494058i −0.816730 0.577020i \(-0.804216\pi\)
0.996553 + 0.0829614i \(0.0264378\pi\)
\(618\) 0.176134 7.63943i 0.00708514 0.307303i
\(619\) −23.9874 4.22963i −0.964136 0.170003i −0.330647 0.943755i \(-0.607267\pi\)
−0.633489 + 0.773751i \(0.718378\pi\)
\(620\) 8.88161i 0.356694i
\(621\) 2.98760 + 1.32781i 0.119888 + 0.0532832i
\(622\) 10.7896i 0.432624i
\(623\) −28.5232 + 2.92223i −1.14276 + 0.117077i
\(624\) −2.53835 4.64037i −0.101615 0.185764i
\(625\) 6.75467 + 2.45850i 0.270187 + 0.0983400i
\(626\) 1.32626 1.11287i 0.0530081 0.0444791i
\(627\) 6.69924 + 1.34117i 0.267542 + 0.0535610i
\(628\) 0.597414 + 1.64138i 0.0238394 + 0.0654983i
\(629\) −12.0440 + 20.8609i −0.480227 + 0.831777i
\(630\) −0.715494 12.7654i −0.0285060 0.508585i
\(631\) 11.9555 + 20.7075i 0.475939 + 0.824351i 0.999620 0.0275638i \(-0.00877493\pi\)
−0.523681 + 0.851914i \(0.675442\pi\)
\(632\) 1.81716 2.16561i 0.0722828 0.0861433i
\(633\) 24.0900 3.67735i 0.957491 0.146161i
\(634\) −4.29698 24.3694i −0.170655 0.967833i
\(635\) 0.371654 + 2.10776i 0.0147486 + 0.0836437i
\(636\) −12.8618 + 10.2966i −0.510003 + 0.408286i
\(637\) −3.08611 + 21.1523i −0.122276 + 0.838087i
\(638\) 0.687198 0.396754i 0.0272064 0.0157076i
\(639\) 16.7258 + 10.7137i 0.661661 + 0.423826i
\(640\) −1.39500 0.805406i −0.0551424 0.0318365i
\(641\) −16.4062 45.0756i −0.648005 1.78038i −0.624975 0.780644i \(-0.714891\pi\)
−0.0230296 0.999735i \(-0.507331\pi\)
\(642\) −20.4304 + 23.2384i −0.806323 + 0.917147i
\(643\) 27.2074 + 32.4245i 1.07295 + 1.27870i 0.958446 + 0.285275i \(0.0920850\pi\)
0.114509 + 0.993422i \(0.463471\pi\)
\(644\) −1.66032 0.120482i −0.0654258 0.00474765i
\(645\) −25.1275 15.2902i −0.989394 0.602052i
\(646\) −1.44390 + 8.18874i −0.0568093 + 0.322182i
\(647\) 29.0882 1.14358 0.571789 0.820401i \(-0.306250\pi\)
0.571789 + 0.820401i \(0.306250\pi\)
\(648\) −8.17546 + 3.76322i −0.321162 + 0.147833i
\(649\) 7.51858i 0.295130i
\(650\) −1.27547 + 7.23357i −0.0500282 + 0.283724i
\(651\) −24.3516 6.74011i −0.954415 0.264166i
\(652\) 12.0858 + 4.39887i 0.473316 + 0.172273i
\(653\) −10.0396 11.9648i −0.392881 0.468218i 0.532954 0.846144i \(-0.321082\pi\)
−0.925836 + 0.377926i \(0.876637\pi\)
\(654\) −24.7012 21.7164i −0.965895 0.849180i
\(655\) −10.4494 + 3.80327i −0.408292 + 0.148606i
\(656\) 1.48448 2.57120i 0.0579593 0.100388i
\(657\) −1.27514 + 27.6385i −0.0497478 + 1.07828i
\(658\) −14.5163 14.0921i −0.565904 0.549366i
\(659\) −13.1077 + 15.6211i −0.510602 + 0.608512i −0.958332 0.285657i \(-0.907788\pi\)
0.447730 + 0.894169i \(0.352233\pi\)
\(660\) −2.90766 + 2.32775i −0.113181 + 0.0906074i
\(661\) −8.18865 + 1.44388i −0.318501 + 0.0561604i −0.330613 0.943766i \(-0.607256\pi\)
0.0121120 + 0.999927i \(0.496145\pi\)
\(662\) −12.6814 + 2.23608i −0.492878 + 0.0869077i
\(663\) −2.24614 14.7143i −0.0872329 0.571455i
\(664\) 3.53129 4.20843i 0.137041 0.163319i
\(665\) −9.03533 8.77127i −0.350375 0.340135i
\(666\) −17.3952 + 18.8896i −0.674048 + 0.731956i
\(667\) 0.186993 0.323882i 0.00724041 0.0125408i
\(668\) 5.77270 2.10109i 0.223352 0.0812936i
\(669\) 0.742763 3.71017i 0.0287169 0.143443i
\(670\) 10.1380 + 12.0819i 0.391663 + 0.466766i
\(671\) 5.96827 + 2.17227i 0.230403 + 0.0838597i
\(672\) 3.26691 3.21361i 0.126024 0.123968i
\(673\) −7.58181 + 42.9986i −0.292257 + 1.65747i 0.385888 + 0.922545i \(0.373895\pi\)
−0.678146 + 0.734928i \(0.737216\pi\)
\(674\) 26.4751i 1.01978i
\(675\) 12.1290 + 3.01562i 0.466844 + 0.116071i
\(676\) −3.67457 −0.141330
\(677\) −8.43460 + 47.8350i −0.324168 + 1.83845i 0.191289 + 0.981534i \(0.438733\pi\)
−0.515457 + 0.856915i \(0.672378\pi\)
\(678\) 0.235021 10.1936i 0.00902594 0.391482i
\(679\) 45.4745 + 3.29987i 1.74515 + 0.126638i
\(680\) −2.91379 3.47252i −0.111739 0.133165i
\(681\) −12.2787 36.3193i −0.470522 1.39176i
\(682\) 2.51754 + 6.91689i 0.0964017 + 0.264862i
\(683\) −7.69428 4.44229i −0.294413 0.169980i 0.345517 0.938412i \(-0.387704\pi\)
−0.639930 + 0.768433i \(0.721037\pi\)
\(684\) −3.41242 + 8.18108i −0.130477 + 0.312811i
\(685\) −23.4087 + 13.5150i −0.894401 + 0.516382i
\(686\) −18.3598 + 2.43300i −0.700979 + 0.0928924i
\(687\) 42.1566 + 16.4538i 1.60837 + 0.627750i
\(688\) −1.83071 10.3825i −0.0697950 0.395827i
\(689\) −5.04412 28.6066i −0.192165 1.08982i
\(690\) −0.638262 + 1.63531i −0.0242982 + 0.0622550i
\(691\) 19.2060 22.8888i 0.730630 0.870731i −0.264987 0.964252i \(-0.585368\pi\)
0.995617 + 0.0935206i \(0.0298121\pi\)
\(692\) −6.76934 11.7248i −0.257332 0.445712i
\(693\) −4.17564 9.73872i −0.158619 0.369943i
\(694\) 11.3034 19.5781i 0.429072 0.743175i
\(695\) 7.82473 + 21.4983i 0.296809 + 0.815476i
\(696\) 0.329723 + 0.975289i 0.0124981 + 0.0369682i
\(697\) 6.40037 5.37055i 0.242431 0.203424i
\(698\) −3.72534 1.35591i −0.141006 0.0513220i
\(699\) −15.4114 0.355322i −0.582911 0.0134395i
\(700\) −6.33065 + 0.648580i −0.239276 + 0.0245140i
\(701\) 17.3896i 0.656798i 0.944539 + 0.328399i \(0.106509\pi\)
−0.944539 + 0.328399i \(0.893491\pi\)
\(702\) 1.09647 15.8299i 0.0413835 0.597459i
\(703\) 25.2916i 0.953889i
\(704\) −1.31471 0.231819i −0.0495500 0.00873700i
\(705\) −18.7172 + 10.2385i −0.704929 + 0.385605i
\(706\) 11.5767 31.8067i 0.435695 1.19706i
\(707\) −17.2470 11.6992i −0.648640 0.439995i
\(708\) 9.56500 + 1.91488i 0.359475 + 0.0719656i
\(709\) −31.6057 + 11.5035i −1.18698 + 0.432024i −0.858661 0.512544i \(-0.828703\pi\)
−0.328316 + 0.944568i \(0.606481\pi\)
\(710\) −5.33256 + 9.23626i −0.200127 + 0.346631i
\(711\) 8.09475 2.53030i 0.303577 0.0948936i
\(712\) −9.38529 + 5.41860i −0.351729 + 0.203071i
\(713\) 2.65757 + 2.22996i 0.0995266 + 0.0835127i
\(714\) 11.7322 5.35379i 0.439066 0.200361i
\(715\) −1.14032 6.46709i −0.0426456 0.241855i
\(716\) 15.1151 2.66520i 0.564878 0.0996032i
\(717\) 30.0454 24.0531i 1.12207 0.898278i
\(718\) −18.7607 15.7421i −0.700144 0.587491i
\(719\) 21.2380 + 36.7853i 0.792045 + 1.37186i 0.924699 + 0.380699i \(0.124317\pi\)
−0.132654 + 0.991162i \(0.542350\pi\)
\(720\) −2.22077 4.29192i −0.0827634 0.159950i
\(721\) −2.85356 + 11.3184i −0.106272 + 0.421518i
\(722\) −3.51237 9.65016i −0.130717 0.359142i
\(723\) −5.56987 4.89683i −0.207146 0.182115i
\(724\) −9.94764 11.8551i −0.369701 0.440593i
\(725\) 0.488980 1.34346i 0.0181603 0.0498949i
\(726\) 8.29943 13.6390i 0.308021 0.506192i
\(727\) 17.2844 + 3.04771i 0.641044 + 0.113033i 0.484716 0.874672i \(-0.338923\pi\)
0.156328 + 0.987705i \(0.450034\pi\)
\(728\) 2.20661 + 7.77231i 0.0817824 + 0.288061i
\(729\) −26.7422 3.72249i −0.990450 0.137870i
\(730\) −14.8559 −0.549842
\(731\) 5.15186 29.2177i 0.190549 1.08065i
\(732\) −4.28356 + 7.03948i −0.158325 + 0.260187i
\(733\) −5.72073 + 15.7176i −0.211300 + 0.580542i −0.999387 0.0350224i \(-0.988850\pi\)
0.788086 + 0.615565i \(0.211072\pi\)
\(734\) −3.05990 + 2.56756i −0.112943 + 0.0947703i
\(735\) −3.26426 + 19.2553i −0.120404 + 0.710243i
\(736\) −0.591247 + 0.215196i −0.0217937 + 0.00793224i
\(737\) 11.3200 + 6.53561i 0.416978 + 0.240742i
\(738\) 7.91065 4.09322i 0.291195 0.150673i
\(739\) −19.9620 34.5752i −0.734313 1.27187i −0.955024 0.296528i \(-0.904171\pi\)
0.220711 0.975339i \(-0.429162\pi\)
\(740\) −10.5622 8.86274i −0.388274 0.325801i
\(741\) −9.76713 12.2004i −0.358804 0.448194i
\(742\) 22.6487 10.9730i 0.831461 0.402832i
\(743\) 49.0588 8.65038i 1.79979 0.317352i 0.829357 0.558719i \(-0.188707\pi\)
0.970434 + 0.241367i \(0.0775958\pi\)
\(744\) −9.44073 + 1.44113i −0.346114 + 0.0528345i
\(745\) 17.6186 20.9970i 0.645494 0.769270i
\(746\) −18.0489 + 10.4206i −0.660819 + 0.381524i
\(747\) 15.7305 4.91713i 0.575550 0.179908i
\(748\) −3.25353 1.87843i −0.118961 0.0686821i
\(749\) 38.3111 27.6813i 1.39986 1.01145i
\(750\) −4.05575 + 20.2588i −0.148095 + 0.739747i
\(751\) 12.2459 10.2755i 0.446858 0.374958i −0.391411 0.920216i \(-0.628013\pi\)
0.838268 + 0.545258i \(0.183568\pi\)
\(752\) −7.18559 2.61534i −0.262031 0.0953716i
\(753\) −32.4930 + 17.7741i −1.18411 + 0.647724i
\(754\) −1.78755 0.315194i −0.0650988 0.0114787i
\(755\) 20.1097 0.731869
\(756\) 13.4529 2.83185i 0.489277 0.102993i
\(757\) −9.20484 −0.334556 −0.167278 0.985910i \(-0.553498\pi\)
−0.167278 + 0.985910i \(0.553498\pi\)
\(758\) −36.3252 6.40511i −1.31939 0.232644i
\(759\) −0.0335342 + 1.45448i −0.00121721 + 0.0527941i
\(760\) −4.47250 1.62786i −0.162235 0.0590486i
\(761\) 28.2538 23.7078i 1.02420 0.859407i 0.0340513 0.999420i \(-0.489159\pi\)
0.990150 + 0.140014i \(0.0447146\pi\)
\(762\) −2.18014 + 0.737056i −0.0789781 + 0.0267007i
\(763\) 29.4238 + 40.7227i 1.06521 + 1.47426i
\(764\) −7.61421 4.39607i −0.275473 0.159044i
\(765\) −1.74173 13.4872i −0.0629725 0.487629i
\(766\) 18.4658 10.6612i 0.667197 0.385206i
\(767\) −11.0550 + 13.1748i −0.399173 + 0.475716i
\(768\) 0.629755 1.61351i 0.0227243 0.0582225i