Properties

Label 966.2.l.d.47.16
Level $966$
Weight $2$
Character 966.47
Analytic conductor $7.714$
Analytic rank $0$
Dimension $56$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(47,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 5, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.47");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.l (of order \(6\), degree \(2\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.16
Character \(\chi\) \(=\) 966.47
Dual form 966.2.l.d.185.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(-1.68012 + 0.420939i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.662008 + 1.14663i) q^{5} +(-1.66550 - 0.475517i) q^{6} +(2.07946 + 1.63580i) q^{7} +1.00000i q^{8} +(2.64562 - 1.41446i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(-1.68012 + 0.420939i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.662008 + 1.14663i) q^{5} +(-1.66550 - 0.475517i) q^{6} +(2.07946 + 1.63580i) q^{7} +1.00000i q^{8} +(2.64562 - 1.41446i) q^{9} +(-1.14663 + 0.662008i) q^{10} +(5.14427 - 2.97005i) q^{11} +(-1.20460 - 1.24456i) q^{12} -0.431364i q^{13} +(0.982969 + 2.45637i) q^{14} +(0.629593 - 2.20515i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.767229 - 1.32888i) q^{17} +(2.99840 + 0.0978548i) q^{18} +(2.99058 + 1.72661i) q^{19} -1.32402 q^{20} +(-4.18232 - 1.87301i) q^{21} +5.94009 q^{22} +(0.866025 + 0.500000i) q^{23} +(-0.420939 - 1.68012i) q^{24} +(1.62349 + 2.81197i) q^{25} +(0.215682 - 0.373572i) q^{26} +(-3.84957 + 3.49011i) q^{27} +(-0.376911 + 2.61877i) q^{28} +4.54331i q^{29} +(1.64782 - 1.59492i) q^{30} +(-6.56402 + 3.78974i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-7.39280 + 7.15547i) q^{33} -1.53446i q^{34} +(-3.25228 + 1.30147i) q^{35} +(2.54777 + 1.58395i) q^{36} +(1.58338 - 2.74249i) q^{37} +(1.72661 + 2.99058i) q^{38} +(0.181578 + 0.724744i) q^{39} +(-1.14663 - 0.662008i) q^{40} +0.950042 q^{41} +(-2.68549 - 3.71324i) q^{42} -6.81513 q^{43} +(5.14427 + 2.97005i) q^{44} +(-0.129561 + 3.96993i) q^{45} +(0.500000 + 0.866025i) q^{46} +(2.43049 - 4.20973i) q^{47} +(0.475517 - 1.66550i) q^{48} +(1.64833 + 6.80316i) q^{49} +3.24698i q^{50} +(1.84842 + 1.90972i) q^{51} +(0.373572 - 0.215682i) q^{52} +(2.00861 - 1.15967i) q^{53} +(-5.07888 + 1.09774i) q^{54} +7.86478i q^{55} +(-1.63580 + 2.07946i) q^{56} +(-5.75133 - 1.64207i) q^{57} +(-2.27166 + 3.93462i) q^{58} +(1.84910 + 3.20274i) q^{59} +(2.22451 - 0.557330i) q^{60} +(6.47975 + 3.74108i) q^{61} -7.57947 q^{62} +(7.81524 + 1.38639i) q^{63} -1.00000 q^{64} +(0.494615 + 0.285566i) q^{65} +(-9.98008 + 2.50042i) q^{66} +(4.35534 + 7.54367i) q^{67} +(0.767229 - 1.32888i) q^{68} +(-1.66550 - 0.475517i) q^{69} +(-3.46729 - 0.499036i) q^{70} -13.2414i q^{71} +(1.41446 + 2.64562i) q^{72} +(-11.1193 + 6.41976i) q^{73} +(2.74249 - 1.58338i) q^{74} +(-3.91133 - 4.04106i) q^{75} +3.45322i q^{76} +(15.5557 + 2.23889i) q^{77} +(-0.205121 + 0.718436i) q^{78} +(-6.48480 + 11.2320i) q^{79} +(-0.662008 - 1.14663i) q^{80} +(4.99862 - 7.48424i) q^{81} +(0.822761 + 0.475021i) q^{82} +3.35408 q^{83} +(-0.469084 - 4.55850i) q^{84} +2.03165 q^{85} +(-5.90208 - 3.40757i) q^{86} +(-1.91246 - 7.63332i) q^{87} +(2.97005 + 5.14427i) q^{88} +(8.29910 - 14.3745i) q^{89} +(-2.09717 + 3.37328i) q^{90} +(0.705624 - 0.897005i) q^{91} +1.00000i q^{92} +(9.43310 - 9.13027i) q^{93} +(4.20973 - 2.43049i) q^{94} +(-3.95957 + 2.28606i) q^{95} +(1.24456 - 1.20460i) q^{96} -10.3531i q^{97} +(-1.97408 + 6.71588i) q^{98} +(9.40879 - 15.1340i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q + 28 q^{4} + 8 q^{7} + 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q + 28 q^{4} + 8 q^{7} + 10 q^{9} + 12 q^{10} + 8 q^{15} - 28 q^{16} - 8 q^{18} - 24 q^{19} - 4 q^{21} - 12 q^{22} + 6 q^{24} - 8 q^{25} + 10 q^{28} + 6 q^{30} - 6 q^{31} + 30 q^{33} + 20 q^{36} + 4 q^{37} - 10 q^{39} + 12 q^{40} + 8 q^{42} - 104 q^{43} - 6 q^{45} + 28 q^{46} + 40 q^{49} - 22 q^{51} - 6 q^{52} + 18 q^{54} + 68 q^{57} - 30 q^{58} + 4 q^{60} - 84 q^{61} - 6 q^{63} - 56 q^{64} - 30 q^{66} + 2 q^{67} + 30 q^{70} + 8 q^{72} + 54 q^{73} - 24 q^{75} + 68 q^{78} - 6 q^{79} + 22 q^{81} + 4 q^{84} - 108 q^{85} - 126 q^{87} - 6 q^{88} - 42 q^{91} + 36 q^{93} - 18 q^{94} + 6 q^{96} + 48 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 + 0.500000i 0.612372 + 0.353553i
\(3\) −1.68012 + 0.420939i −0.970019 + 0.243029i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.662008 + 1.14663i −0.296059 + 0.512789i −0.975231 0.221190i \(-0.929006\pi\)
0.679172 + 0.733979i \(0.262339\pi\)
\(6\) −1.66550 0.475517i −0.679937 0.194129i
\(7\) 2.07946 + 1.63580i 0.785963 + 0.618273i
\(8\) 1.00000i 0.353553i
\(9\) 2.64562 1.41446i 0.881874 0.471486i
\(10\) −1.14663 + 0.662008i −0.362597 + 0.209345i
\(11\) 5.14427 2.97005i 1.55106 0.895503i 0.553000 0.833181i \(-0.313483\pi\)
0.998056 0.0623219i \(-0.0198505\pi\)
\(12\) −1.20460 1.24456i −0.347739 0.359273i
\(13\) 0.431364i 0.119639i −0.998209 0.0598194i \(-0.980948\pi\)
0.998209 0.0598194i \(-0.0190525\pi\)
\(14\) 0.982969 + 2.45637i 0.262709 + 0.656494i
\(15\) 0.629593 2.20515i 0.162560 0.569366i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −0.767229 1.32888i −0.186080 0.322301i 0.757860 0.652418i \(-0.226245\pi\)
−0.943940 + 0.330117i \(0.892912\pi\)
\(18\) 2.99840 + 0.0978548i 0.706731 + 0.0230646i
\(19\) 2.99058 + 1.72661i 0.686085 + 0.396111i 0.802144 0.597131i \(-0.203693\pi\)
−0.116059 + 0.993242i \(0.537026\pi\)
\(20\) −1.32402 −0.296059
\(21\) −4.18232 1.87301i −0.912658 0.408725i
\(22\) 5.94009 1.26643
\(23\) 0.866025 + 0.500000i 0.180579 + 0.104257i
\(24\) −0.420939 1.68012i −0.0859238 0.342954i
\(25\) 1.62349 + 2.81197i 0.324698 + 0.562394i
\(26\) 0.215682 0.373572i 0.0422987 0.0732635i
\(27\) −3.84957 + 3.49011i −0.740849 + 0.671671i
\(28\) −0.376911 + 2.61877i −0.0712295 + 0.494900i
\(29\) 4.54331i 0.843672i 0.906672 + 0.421836i \(0.138614\pi\)
−0.906672 + 0.421836i \(0.861386\pi\)
\(30\) 1.64782 1.59492i 0.300849 0.291190i
\(31\) −6.56402 + 3.78974i −1.17893 + 0.680657i −0.955767 0.294124i \(-0.904972\pi\)
−0.223165 + 0.974781i \(0.571639\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) −7.39280 + 7.15547i −1.28692 + 1.24561i
\(34\) 1.53446i 0.263157i
\(35\) −3.25228 + 1.30147i −0.549735 + 0.219988i
\(36\) 2.54777 + 1.58395i 0.424628 + 0.263991i
\(37\) 1.58338 2.74249i 0.260306 0.450863i −0.706017 0.708195i \(-0.749510\pi\)
0.966323 + 0.257332i \(0.0828432\pi\)
\(38\) 1.72661 + 2.99058i 0.280093 + 0.485135i
\(39\) 0.181578 + 0.724744i 0.0290757 + 0.116052i
\(40\) −1.14663 0.662008i −0.181298 0.104673i
\(41\) 0.950042 0.148372 0.0741859 0.997244i \(-0.476364\pi\)
0.0741859 + 0.997244i \(0.476364\pi\)
\(42\) −2.68549 3.71324i −0.414380 0.572965i
\(43\) −6.81513 −1.03930 −0.519649 0.854380i \(-0.673937\pi\)
−0.519649 + 0.854380i \(0.673937\pi\)
\(44\) 5.14427 + 2.97005i 0.775528 + 0.447751i
\(45\) −0.129561 + 3.96993i −0.0193139 + 0.591803i
\(46\) 0.500000 + 0.866025i 0.0737210 + 0.127688i
\(47\) 2.43049 4.20973i 0.354523 0.614052i −0.632513 0.774550i \(-0.717977\pi\)
0.987036 + 0.160497i \(0.0513098\pi\)
\(48\) 0.475517 1.66550i 0.0686350 0.240394i
\(49\) 1.64833 + 6.80316i 0.235476 + 0.971880i
\(50\) 3.24698i 0.459193i
\(51\) 1.84842 + 1.90972i 0.258830 + 0.267415i
\(52\) 0.373572 0.215682i 0.0518051 0.0299097i
\(53\) 2.00861 1.15967i 0.275904 0.159293i −0.355664 0.934614i \(-0.615745\pi\)
0.631568 + 0.775321i \(0.282412\pi\)
\(54\) −5.07888 + 1.09774i −0.691147 + 0.149383i
\(55\) 7.86478i 1.06049i
\(56\) −1.63580 + 2.07946i −0.218593 + 0.277880i
\(57\) −5.75133 1.64207i −0.761782 0.217497i
\(58\) −2.27166 + 3.93462i −0.298283 + 0.516642i
\(59\) 1.84910 + 3.20274i 0.240733 + 0.416961i 0.960923 0.276815i \(-0.0892789\pi\)
−0.720190 + 0.693776i \(0.755946\pi\)
\(60\) 2.22451 0.557330i 0.287183 0.0719509i
\(61\) 6.47975 + 3.74108i 0.829647 + 0.478997i 0.853732 0.520713i \(-0.174334\pi\)
−0.0240850 + 0.999710i \(0.507667\pi\)
\(62\) −7.57947 −0.962594
\(63\) 7.81524 + 1.38639i 0.984627 + 0.174669i
\(64\) −1.00000 −0.125000
\(65\) 0.494615 + 0.285566i 0.0613495 + 0.0354201i
\(66\) −9.98008 + 2.50042i −1.22846 + 0.307780i
\(67\) 4.35534 + 7.54367i 0.532089 + 0.921606i 0.999298 + 0.0374589i \(0.0119263\pi\)
−0.467209 + 0.884147i \(0.654740\pi\)
\(68\) 0.767229 1.32888i 0.0930402 0.161150i
\(69\) −1.66550 0.475517i −0.200502 0.0572456i
\(70\) −3.46729 0.499036i −0.414420 0.0596462i
\(71\) 13.2414i 1.57147i −0.618566 0.785733i \(-0.712286\pi\)
0.618566 0.785733i \(-0.287714\pi\)
\(72\) 1.41446 + 2.64562i 0.166695 + 0.311789i
\(73\) −11.1193 + 6.41976i −1.30142 + 0.751376i −0.980648 0.195780i \(-0.937276\pi\)
−0.320773 + 0.947156i \(0.603943\pi\)
\(74\) 2.74249 1.58338i 0.318808 0.184064i
\(75\) −3.91133 4.04106i −0.451642 0.466622i
\(76\) 3.45322i 0.396111i
\(77\) 15.5557 + 2.23889i 1.77274 + 0.255145i
\(78\) −0.205121 + 0.718436i −0.0232254 + 0.0813468i
\(79\) −6.48480 + 11.2320i −0.729597 + 1.26370i 0.227457 + 0.973788i \(0.426959\pi\)
−0.957054 + 0.289911i \(0.906374\pi\)
\(80\) −0.662008 1.14663i −0.0740147 0.128197i
\(81\) 4.99862 7.48424i 0.555402 0.831582i
\(82\) 0.822761 + 0.475021i 0.0908587 + 0.0524573i
\(83\) 3.35408 0.368158 0.184079 0.982911i \(-0.441070\pi\)
0.184079 + 0.982911i \(0.441070\pi\)
\(84\) −0.469084 4.55850i −0.0511813 0.497374i
\(85\) 2.03165 0.220363
\(86\) −5.90208 3.40757i −0.636438 0.367447i
\(87\) −1.91246 7.63332i −0.205037 0.818378i
\(88\) 2.97005 + 5.14427i 0.316608 + 0.548381i
\(89\) 8.29910 14.3745i 0.879703 1.52369i 0.0280365 0.999607i \(-0.491075\pi\)
0.851667 0.524084i \(-0.175592\pi\)
\(90\) −2.09717 + 3.37328i −0.221061 + 0.355575i
\(91\) 0.705624 0.897005i 0.0739695 0.0940317i
\(92\) 1.00000i 0.104257i
\(93\) 9.43310 9.13027i 0.978167 0.946765i
\(94\) 4.20973 2.43049i 0.434201 0.250686i
\(95\) −3.95957 + 2.28606i −0.406243 + 0.234545i
\(96\) 1.24456 1.20460i 0.127022 0.122944i
\(97\) 10.3531i 1.05120i −0.850732 0.525599i \(-0.823841\pi\)
0.850732 0.525599i \(-0.176159\pi\)
\(98\) −1.97408 + 6.71588i −0.199412 + 0.678406i
\(99\) 9.40879 15.1340i 0.945619 1.52102i
\(100\) −1.62349 + 2.81197i −0.162349 + 0.281197i
\(101\) 8.12460 + 14.0722i 0.808427 + 1.40024i 0.913953 + 0.405821i \(0.133014\pi\)
−0.105525 + 0.994417i \(0.533652\pi\)
\(102\) 0.645913 + 2.57808i 0.0639549 + 0.255268i
\(103\) −14.1321 8.15920i −1.39248 0.803949i −0.398892 0.916998i \(-0.630605\pi\)
−0.993589 + 0.113049i \(0.963938\pi\)
\(104\) 0.431364 0.0422987
\(105\) 4.91639 3.55563i 0.479790 0.346994i
\(106\) 2.31934 0.225274
\(107\) −12.5081 7.22158i −1.20921 0.698137i −0.246622 0.969112i \(-0.579321\pi\)
−0.962586 + 0.270975i \(0.912654\pi\)
\(108\) −4.94730 1.58877i −0.476054 0.152879i
\(109\) 4.14273 + 7.17542i 0.396802 + 0.687281i 0.993329 0.115312i \(-0.0367868\pi\)
−0.596528 + 0.802592i \(0.703453\pi\)
\(110\) −3.93239 + 6.81110i −0.374939 + 0.649413i
\(111\) −1.50585 + 5.27423i −0.142929 + 0.500608i
\(112\) −2.45637 + 0.982969i −0.232106 + 0.0928818i
\(113\) 8.85205i 0.832731i −0.909197 0.416365i \(-0.863304\pi\)
0.909197 0.416365i \(-0.136696\pi\)
\(114\) −4.15976 4.29774i −0.389598 0.402520i
\(115\) −1.14663 + 0.662008i −0.106924 + 0.0617326i
\(116\) −3.93462 + 2.27166i −0.365321 + 0.210918i
\(117\) −0.610146 1.14123i −0.0564080 0.105506i
\(118\) 3.69821i 0.340448i
\(119\) 0.578354 4.01839i 0.0530176 0.368365i
\(120\) 2.20515 + 0.629593i 0.201301 + 0.0574737i
\(121\) 12.1424 21.0312i 1.10385 1.91193i
\(122\) 3.74108 + 6.47975i 0.338702 + 0.586649i
\(123\) −1.59619 + 0.399910i −0.143923 + 0.0360586i
\(124\) −6.56402 3.78974i −0.589466 0.340328i
\(125\) −10.9191 −0.976637
\(126\) 6.07500 + 5.10827i 0.541204 + 0.455081i
\(127\) −12.9091 −1.14550 −0.572749 0.819731i \(-0.694123\pi\)
−0.572749 + 0.819731i \(0.694123\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) 11.4503 2.86875i 1.00814 0.252580i
\(130\) 0.285566 + 0.494615i 0.0250458 + 0.0433806i
\(131\) −6.44820 + 11.1686i −0.563381 + 0.975805i 0.433817 + 0.901001i \(0.357167\pi\)
−0.997198 + 0.0748042i \(0.976167\pi\)
\(132\) −9.89321 2.82462i −0.861094 0.245851i
\(133\) 3.39441 + 8.48240i 0.294332 + 0.735517i
\(134\) 8.71068i 0.752488i
\(135\) −1.45342 6.72451i −0.125090 0.578754i
\(136\) 1.32888 0.767229i 0.113951 0.0657894i
\(137\) 13.2390 7.64352i 1.13108 0.653030i 0.186874 0.982384i \(-0.440164\pi\)
0.944207 + 0.329354i \(0.106831\pi\)
\(138\) −1.20460 1.24456i −0.102543 0.105944i
\(139\) 11.6576i 0.988783i −0.869239 0.494391i \(-0.835391\pi\)
0.869239 0.494391i \(-0.164609\pi\)
\(140\) −2.75324 2.16582i −0.232691 0.183045i
\(141\) −2.31148 + 8.09595i −0.194662 + 0.681802i
\(142\) 6.62071 11.4674i 0.555597 0.962323i
\(143\) −1.28117 2.21905i −0.107137 0.185567i
\(144\) −0.0978548 + 2.99840i −0.00815456 + 0.249867i
\(145\) −5.20951 3.00771i −0.432626 0.249777i
\(146\) −12.8395 −1.06261
\(147\) −5.63311 10.7363i −0.464611 0.885515i
\(148\) 3.16676 0.260306
\(149\) 4.78584 + 2.76311i 0.392072 + 0.226363i 0.683057 0.730365i \(-0.260650\pi\)
−0.290986 + 0.956727i \(0.593983\pi\)
\(150\) −1.36678 5.45533i −0.111597 0.445426i
\(151\) 4.94694 + 8.56835i 0.402576 + 0.697283i 0.994036 0.109052i \(-0.0347815\pi\)
−0.591460 + 0.806335i \(0.701448\pi\)
\(152\) −1.72661 + 2.99058i −0.140047 + 0.242568i
\(153\) −3.90944 2.43050i −0.316060 0.196494i
\(154\) 12.3522 + 9.71679i 0.995369 + 0.783001i
\(155\) 10.0353i 0.806058i
\(156\) −0.536858 + 0.519623i −0.0429830 + 0.0416031i
\(157\) −2.98159 + 1.72142i −0.237956 + 0.137384i −0.614237 0.789122i \(-0.710536\pi\)
0.376281 + 0.926506i \(0.377203\pi\)
\(158\) −11.2320 + 6.48480i −0.893570 + 0.515903i
\(159\) −2.88656 + 2.79389i −0.228919 + 0.221570i
\(160\) 1.32402i 0.104673i
\(161\) 0.982969 + 2.45637i 0.0774688 + 0.193589i
\(162\) 8.07105 3.98223i 0.634122 0.312873i
\(163\) 8.75656 15.1668i 0.685867 1.18796i −0.287297 0.957842i \(-0.592757\pi\)
0.973164 0.230114i \(-0.0739100\pi\)
\(164\) 0.475021 + 0.822761i 0.0370929 + 0.0642468i
\(165\) −3.31059 13.2138i −0.257729 1.02869i
\(166\) 2.90472 + 1.67704i 0.225450 + 0.130164i
\(167\) 6.31100 0.488360 0.244180 0.969730i \(-0.421481\pi\)
0.244180 + 0.969730i \(0.421481\pi\)
\(168\) 1.87301 4.18232i 0.144506 0.322673i
\(169\) 12.8139 0.985687
\(170\) 1.75946 + 1.01582i 0.134944 + 0.0779101i
\(171\) 10.3541 + 0.337914i 0.791801 + 0.0258409i
\(172\) −3.40757 5.90208i −0.259825 0.450029i
\(173\) 2.31313 4.00646i 0.175864 0.304606i −0.764596 0.644510i \(-0.777061\pi\)
0.940460 + 0.339904i \(0.110395\pi\)
\(174\) 2.16042 7.56688i 0.163781 0.573644i
\(175\) −1.22382 + 8.50309i −0.0925123 + 0.642773i
\(176\) 5.94009i 0.447751i
\(177\) −4.45488 4.60264i −0.334849 0.345955i
\(178\) 14.3745 8.29910i 1.07741 0.622044i
\(179\) −18.2428 + 10.5325i −1.36353 + 0.787236i −0.990092 0.140417i \(-0.955156\pi\)
−0.373441 + 0.927654i \(0.621822\pi\)
\(180\) −3.50284 + 1.87276i −0.261087 + 0.139588i
\(181\) 6.37728i 0.474019i 0.971507 + 0.237010i \(0.0761673\pi\)
−0.971507 + 0.237010i \(0.923833\pi\)
\(182\) 1.05959 0.424017i 0.0785421 0.0314303i
\(183\) −12.4615 3.55790i −0.921183 0.263008i
\(184\) −0.500000 + 0.866025i −0.0368605 + 0.0638442i
\(185\) 2.09642 + 3.63110i 0.154132 + 0.266964i
\(186\) 12.7344 3.19049i 0.933734 0.233938i
\(187\) −7.89367 4.55741i −0.577242 0.333271i
\(188\) 4.86098 0.354523
\(189\) −13.7141 + 0.960432i −0.997557 + 0.0698612i
\(190\) −4.57212 −0.331696
\(191\) −6.66406 3.84750i −0.482195 0.278395i 0.239136 0.970986i \(-0.423136\pi\)
−0.721331 + 0.692591i \(0.756469\pi\)
\(192\) 1.68012 0.420939i 0.121252 0.0303786i
\(193\) 5.99384 + 10.3816i 0.431446 + 0.747286i 0.996998 0.0774262i \(-0.0246702\pi\)
−0.565552 + 0.824713i \(0.691337\pi\)
\(194\) 5.17655 8.96605i 0.371655 0.643725i
\(195\) −0.951220 0.271584i −0.0681183 0.0194485i
\(196\) −5.06754 + 4.82908i −0.361967 + 0.344934i
\(197\) 15.1707i 1.08087i −0.841386 0.540435i \(-0.818260\pi\)
0.841386 0.540435i \(-0.181740\pi\)
\(198\) 15.7152 8.40201i 1.11683 0.597105i
\(199\) 20.9478 12.0942i 1.48495 0.857335i 0.485094 0.874462i \(-0.338785\pi\)
0.999853 + 0.0171271i \(0.00545199\pi\)
\(200\) −2.81197 + 1.62349i −0.198836 + 0.114798i
\(201\) −10.4929 10.8410i −0.740114 0.764662i
\(202\) 16.2492i 1.14329i
\(203\) −7.43194 + 9.44765i −0.521620 + 0.663095i
\(204\) −0.729662 + 2.55564i −0.0510865 + 0.178930i
\(205\) −0.628936 + 1.08935i −0.0439268 + 0.0760834i
\(206\) −8.15920 14.1321i −0.568478 0.984633i
\(207\) 2.99840 + 0.0978548i 0.208403 + 0.00680138i
\(208\) 0.373572 + 0.215682i 0.0259026 + 0.0149549i
\(209\) 20.5125 1.41888
\(210\) 6.03553 0.621075i 0.416491 0.0428582i
\(211\) −2.61273 −0.179868 −0.0899340 0.995948i \(-0.528666\pi\)
−0.0899340 + 0.995948i \(0.528666\pi\)
\(212\) 2.00861 + 1.15967i 0.137952 + 0.0796466i
\(213\) 5.57382 + 22.2472i 0.381912 + 1.52435i
\(214\) −7.22158 12.5081i −0.493657 0.855039i
\(215\) 4.51167 7.81445i 0.307693 0.532941i
\(216\) −3.49011 3.84957i −0.237472 0.261930i
\(217\) −19.8489 2.85679i −1.34743 0.193931i
\(218\) 8.28546i 0.561162i
\(219\) 15.9795 15.4665i 1.07980 1.04513i
\(220\) −6.81110 + 3.93239i −0.459204 + 0.265122i
\(221\) −0.573231 + 0.330955i −0.0385597 + 0.0222624i
\(222\) −3.94122 + 3.81469i −0.264517 + 0.256025i
\(223\) 0.232863i 0.0155936i −0.999970 0.00779682i \(-0.997518\pi\)
0.999970 0.00779682i \(-0.00248183\pi\)
\(224\) −2.61877 0.376911i −0.174974 0.0251834i
\(225\) 8.27255 + 5.14305i 0.551503 + 0.342870i
\(226\) 4.42603 7.66610i 0.294415 0.509941i
\(227\) 3.83498 + 6.64239i 0.254537 + 0.440871i 0.964770 0.263096i \(-0.0847436\pi\)
−0.710233 + 0.703967i \(0.751410\pi\)
\(228\) −1.45359 5.80183i −0.0962666 0.384236i
\(229\) 5.44588 + 3.14418i 0.359874 + 0.207773i 0.669025 0.743239i \(-0.266712\pi\)
−0.309152 + 0.951013i \(0.600045\pi\)
\(230\) −1.32402 −0.0873030
\(231\) −27.0779 + 2.78640i −1.78160 + 0.183332i
\(232\) −4.54331 −0.298283
\(233\) −10.3737 5.98926i −0.679603 0.392369i 0.120102 0.992762i \(-0.461678\pi\)
−0.799706 + 0.600392i \(0.795011\pi\)
\(234\) 0.0422110 1.29340i 0.00275942 0.0845524i
\(235\) 3.21801 + 5.57375i 0.209920 + 0.363591i
\(236\) −1.84910 + 3.20274i −0.120366 + 0.208481i
\(237\) 6.16727 21.6008i 0.400607 1.40313i
\(238\) 2.51006 3.19085i 0.162703 0.206832i
\(239\) 22.3020i 1.44260i −0.692623 0.721300i \(-0.743545\pi\)
0.692623 0.721300i \(-0.256455\pi\)
\(240\) 1.59492 + 1.64782i 0.102951 + 0.106366i
\(241\) 23.5248 13.5820i 1.51536 0.874896i 0.515526 0.856874i \(-0.327596\pi\)
0.999838 0.0180218i \(-0.00573684\pi\)
\(242\) 21.0312 12.1424i 1.35194 0.780540i
\(243\) −5.24789 + 14.6785i −0.336652 + 0.941629i
\(244\) 7.48217i 0.478997i
\(245\) −8.89193 2.61372i −0.568084 0.166984i
\(246\) −1.58229 0.451762i −0.100883 0.0288033i
\(247\) 0.744797 1.29003i 0.0473903 0.0820824i
\(248\) −3.78974 6.56402i −0.240648 0.416815i
\(249\) −5.63526 + 1.41186i −0.357120 + 0.0894731i
\(250\) −9.45625 5.45957i −0.598066 0.345293i
\(251\) −8.74556 −0.552015 −0.276007 0.961155i \(-0.589011\pi\)
−0.276007 + 0.961155i \(0.589011\pi\)
\(252\) 2.70697 + 7.46139i 0.170523 + 0.470023i
\(253\) 5.94009 0.373451
\(254\) −11.1796 6.45455i −0.701471 0.404994i
\(255\) −3.41341 + 0.855199i −0.213756 + 0.0535546i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −4.21182 + 7.29509i −0.262726 + 0.455055i −0.966965 0.254907i \(-0.917955\pi\)
0.704239 + 0.709963i \(0.251288\pi\)
\(258\) 11.3506 + 3.24071i 0.706657 + 0.201758i
\(259\) 7.77874 3.11283i 0.483348 0.193422i
\(260\) 0.571133i 0.0354201i
\(261\) 6.42632 + 12.0199i 0.397779 + 0.744012i
\(262\) −11.1686 + 6.44820i −0.689999 + 0.398371i
\(263\) −11.8646 + 6.85000i −0.731600 + 0.422389i −0.819007 0.573783i \(-0.805475\pi\)
0.0874074 + 0.996173i \(0.472142\pi\)
\(264\) −7.15547 7.39280i −0.440388 0.454995i
\(265\) 3.07085i 0.188641i
\(266\) −1.30156 + 9.04318i −0.0798035 + 0.554473i
\(267\) −7.89274 + 27.6443i −0.483028 + 1.69180i
\(268\) −4.35534 + 7.54367i −0.266045 + 0.460803i
\(269\) −1.16768 2.02248i −0.0711945 0.123313i 0.828231 0.560387i \(-0.189348\pi\)
−0.899425 + 0.437075i \(0.856014\pi\)
\(270\) 2.10356 6.55031i 0.128018 0.398639i
\(271\) −1.51793 0.876376i −0.0922076 0.0532361i 0.453187 0.891415i \(-0.350287\pi\)
−0.545395 + 0.838179i \(0.683620\pi\)
\(272\) 1.53446 0.0930402
\(273\) −0.807951 + 1.80410i −0.0488994 + 0.109189i
\(274\) 15.2870 0.923524
\(275\) 16.7034 + 9.64369i 1.00725 + 0.581536i
\(276\) −0.420939 1.68012i −0.0253375 0.101131i
\(277\) 3.92403 + 6.79662i 0.235772 + 0.408370i 0.959497 0.281719i \(-0.0909047\pi\)
−0.723725 + 0.690089i \(0.757571\pi\)
\(278\) 5.82879 10.0958i 0.349588 0.605503i
\(279\) −12.0055 + 19.3107i −0.718749 + 1.15610i
\(280\) −1.30147 3.25228i −0.0777775 0.194361i
\(281\) 7.04104i 0.420033i 0.977698 + 0.210016i \(0.0673518\pi\)
−0.977698 + 0.210016i \(0.932648\pi\)
\(282\) −6.04977 + 5.85556i −0.360259 + 0.348693i
\(283\) 4.79548 2.76867i 0.285062 0.164580i −0.350651 0.936506i \(-0.614040\pi\)
0.635713 + 0.771926i \(0.280706\pi\)
\(284\) 11.4674 6.62071i 0.680465 0.392867i
\(285\) 5.69027 5.50759i 0.337063 0.326242i
\(286\) 2.56234i 0.151514i
\(287\) 1.97558 + 1.55408i 0.116615 + 0.0917343i
\(288\) −1.58395 + 2.54777i −0.0933349 + 0.150129i
\(289\) 7.32272 12.6833i 0.430748 0.746078i
\(290\) −3.00771 5.20951i −0.176619 0.305913i
\(291\) 4.35802 + 17.3945i 0.255472 + 1.01968i
\(292\) −11.1193 6.41976i −0.650711 0.375688i
\(293\) 0.902583 0.0527294 0.0263647 0.999652i \(-0.491607\pi\)
0.0263647 + 0.999652i \(0.491607\pi\)
\(294\) 0.489728 12.1145i 0.0285615 0.706530i
\(295\) −4.89648 −0.285084
\(296\) 2.74249 + 1.58338i 0.159404 + 0.0920320i
\(297\) −9.43744 + 29.3874i −0.547616 + 1.70523i
\(298\) 2.76311 + 4.78584i 0.160063 + 0.277236i
\(299\) 0.215682 0.373572i 0.0124732 0.0216042i
\(300\) 1.54400 5.40784i 0.0891427 0.312222i
\(301\) −14.1718 11.1482i −0.816850 0.642570i
\(302\) 9.89388i 0.569329i
\(303\) −19.5739 20.2231i −1.12449 1.16179i
\(304\) −2.99058 + 1.72661i −0.171521 + 0.0990279i
\(305\) −8.57929 + 4.95325i −0.491249 + 0.283622i
\(306\) −2.17043 4.05959i −0.124075 0.232072i
\(307\) 28.2740i 1.61369i −0.590766 0.806843i \(-0.701175\pi\)
0.590766 0.806843i \(-0.298825\pi\)
\(308\) 5.83893 + 14.5911i 0.332704 + 0.831405i
\(309\) 27.1782 + 7.75968i 1.54612 + 0.441433i
\(310\) 5.01767 8.69086i 0.284985 0.493608i
\(311\) −7.92530 13.7270i −0.449403 0.778388i 0.548945 0.835859i \(-0.315030\pi\)
−0.998347 + 0.0574706i \(0.981696\pi\)
\(312\) −0.724744 + 0.181578i −0.0410306 + 0.0102798i
\(313\) −28.5410 16.4782i −1.61323 0.931400i −0.988615 0.150470i \(-0.951921\pi\)
−0.624618 0.780931i \(-0.714745\pi\)
\(314\) −3.44284 −0.194291
\(315\) −6.76343 + 8.04339i −0.381076 + 0.453194i
\(316\) −12.9696 −0.729597
\(317\) 18.1446 + 10.4758i 1.01910 + 0.588380i 0.913844 0.406065i \(-0.133099\pi\)
0.105259 + 0.994445i \(0.466433\pi\)
\(318\) −3.89678 + 0.976301i −0.218521 + 0.0547483i
\(319\) 13.4939 + 23.3720i 0.755511 + 1.30858i
\(320\) 0.662008 1.14663i 0.0370074 0.0640986i
\(321\) 24.0551 + 6.86798i 1.34262 + 0.383333i
\(322\) −0.376911 + 2.61877i −0.0210044 + 0.145938i
\(323\) 5.29882i 0.294834i
\(324\) 8.98085 + 0.586816i 0.498936 + 0.0326009i
\(325\) 1.21298 0.700316i 0.0672841 0.0388465i
\(326\) 15.1668 8.75656i 0.840012 0.484981i
\(327\) −9.98071 10.3117i −0.551934 0.570241i
\(328\) 0.950042i 0.0524573i
\(329\) 11.9404 4.77819i 0.658294 0.263430i
\(330\) 3.73984 13.0988i 0.205871 0.721064i
\(331\) −11.2718 + 19.5234i −0.619556 + 1.07310i 0.370011 + 0.929027i \(0.379354\pi\)
−0.989567 + 0.144075i \(0.953979\pi\)
\(332\) 1.67704 + 2.90472i 0.0920395 + 0.159417i
\(333\) 0.309882 9.49522i 0.0169815 0.520335i
\(334\) 5.46548 + 3.15550i 0.299058 + 0.172661i
\(335\) −11.5331 −0.630119
\(336\) 3.71324 2.68549i 0.202574 0.146506i
\(337\) 11.7877 0.642116 0.321058 0.947060i \(-0.395962\pi\)
0.321058 + 0.947060i \(0.395962\pi\)
\(338\) 11.0972 + 6.40696i 0.603607 + 0.348493i
\(339\) 3.72617 + 14.8725i 0.202378 + 0.807765i
\(340\) 1.01582 + 1.75946i 0.0550908 + 0.0954200i
\(341\) −22.5114 + 38.9909i −1.21906 + 2.11147i
\(342\) 8.79800 + 5.46972i 0.475741 + 0.295768i
\(343\) −7.70095 + 16.8433i −0.415812 + 0.909451i
\(344\) 6.81513i 0.367447i
\(345\) 1.64782 1.59492i 0.0887154 0.0858674i
\(346\) 4.00646 2.31313i 0.215389 0.124355i
\(347\) 13.2116 7.62773i 0.709237 0.409478i −0.101542 0.994831i \(-0.532377\pi\)
0.810778 + 0.585353i \(0.199044\pi\)
\(348\) 5.65442 5.47290i 0.303109 0.293378i
\(349\) 3.90282i 0.208913i −0.994529 0.104457i \(-0.966690\pi\)
0.994529 0.104457i \(-0.0333103\pi\)
\(350\) −5.31141 + 6.75198i −0.283907 + 0.360908i
\(351\) 1.50551 + 1.66056i 0.0803580 + 0.0886344i
\(352\) −2.97005 + 5.14427i −0.158304 + 0.274191i
\(353\) −9.66433 16.7391i −0.514380 0.890933i −0.999861 0.0166851i \(-0.994689\pi\)
0.485481 0.874247i \(-0.338645\pi\)
\(354\) −1.55672 6.21344i −0.0827387 0.330241i
\(355\) 15.1830 + 8.76592i 0.805831 + 0.465247i
\(356\) 16.5982 0.879703
\(357\) 0.719790 + 6.99483i 0.0380953 + 0.370206i
\(358\) −21.0650 −1.11332
\(359\) 11.3768 + 6.56842i 0.600446 + 0.346668i 0.769217 0.638988i \(-0.220646\pi\)
−0.168771 + 0.985655i \(0.553980\pi\)
\(360\) −3.96993 0.129561i −0.209234 0.00682848i
\(361\) −3.53764 6.12737i −0.186191 0.322493i
\(362\) −3.18864 + 5.52288i −0.167591 + 0.290276i
\(363\) −11.5478 + 40.4461i −0.606103 + 2.12287i
\(364\) 1.12964 + 0.162586i 0.0592093 + 0.00852181i
\(365\) 16.9997i 0.889806i
\(366\) −9.01305 9.31200i −0.471120 0.486746i
\(367\) 2.19574 1.26771i 0.114617 0.0661740i −0.441596 0.897214i \(-0.645587\pi\)
0.556212 + 0.831040i \(0.312254\pi\)
\(368\) −0.866025 + 0.500000i −0.0451447 + 0.0260643i
\(369\) 2.51345 1.34379i 0.130845 0.0699551i
\(370\) 4.19284i 0.217975i
\(371\) 6.07382 + 0.874185i 0.315337 + 0.0453854i
\(372\) 12.6236 + 3.60417i 0.654503 + 0.186868i
\(373\) −14.6671 + 25.4042i −0.759433 + 1.31538i 0.183706 + 0.982981i \(0.441190\pi\)
−0.943140 + 0.332396i \(0.892143\pi\)
\(374\) −4.55741 7.89367i −0.235658 0.408172i
\(375\) 18.3455 4.59629i 0.947357 0.237351i
\(376\) 4.20973 + 2.43049i 0.217100 + 0.125343i
\(377\) 1.95982 0.100936
\(378\) −12.3570 6.02531i −0.635576 0.309909i
\(379\) 23.0909 1.18610 0.593049 0.805166i \(-0.297924\pi\)
0.593049 + 0.805166i \(0.297924\pi\)
\(380\) −3.95957 2.28606i −0.203122 0.117272i
\(381\) 21.6889 5.43394i 1.11115 0.278389i
\(382\) −3.84750 6.66406i −0.196855 0.340963i
\(383\) −0.298968 + 0.517829i −0.0152766 + 0.0264598i −0.873563 0.486712i \(-0.838196\pi\)
0.858286 + 0.513172i \(0.171530\pi\)
\(384\) 1.66550 + 0.475517i 0.0849921 + 0.0242661i
\(385\) −12.8652 + 16.3545i −0.655671 + 0.833503i
\(386\) 11.9877i 0.610157i
\(387\) −18.0303 + 9.63971i −0.916530 + 0.490014i
\(388\) 8.96605 5.17655i 0.455182 0.262800i
\(389\) −9.88043 + 5.70447i −0.500957 + 0.289228i −0.729109 0.684398i \(-0.760065\pi\)
0.228151 + 0.973626i \(0.426732\pi\)
\(390\) −0.687989 0.710808i −0.0348377 0.0359932i
\(391\) 1.53446i 0.0776009i
\(392\) −6.80316 + 1.64833i −0.343612 + 0.0832533i
\(393\) 6.13246 21.4789i 0.309342 1.08347i
\(394\) 7.58537 13.1383i 0.382146 0.661895i
\(395\) −8.58597 14.8713i −0.432007 0.748259i
\(396\) 17.8108 + 0.581267i 0.895026 + 0.0292097i
\(397\) 14.5065 + 8.37532i 0.728059 + 0.420345i 0.817712 0.575628i \(-0.195242\pi\)
−0.0896524 + 0.995973i \(0.528576\pi\)
\(398\) 24.1884 1.21245
\(399\) −9.27359 12.8226i −0.464260 0.641934i
\(400\) −3.24698 −0.162349
\(401\) −9.27098 5.35260i −0.462971 0.267296i 0.250322 0.968163i \(-0.419464\pi\)
−0.713293 + 0.700866i \(0.752797\pi\)
\(402\) −3.66666 14.6350i −0.182877 0.729928i
\(403\) 1.63476 + 2.83148i 0.0814330 + 0.141046i
\(404\) −8.12460 + 14.0722i −0.404214 + 0.700119i
\(405\) 5.27253 + 10.6862i 0.261994 + 0.531002i
\(406\) −11.1601 + 4.46594i −0.553865 + 0.221641i
\(407\) 18.8108i 0.932419i
\(408\) −1.90972 + 1.84842i −0.0945454 + 0.0915102i
\(409\) 6.23426 3.59935i 0.308264 0.177976i −0.337885 0.941187i \(-0.609712\pi\)
0.646150 + 0.763211i \(0.276378\pi\)
\(410\) −1.08935 + 0.628936i −0.0537991 + 0.0310609i
\(411\) −19.0256 + 18.4148i −0.938465 + 0.908337i
\(412\) 16.3184i 0.803949i
\(413\) −1.39389 + 9.68474i −0.0685891 + 0.476555i
\(414\) 2.54777 + 1.58395i 0.125216 + 0.0778467i
\(415\) −2.22043 + 3.84589i −0.108996 + 0.188787i
\(416\) 0.215682 + 0.373572i 0.0105747 + 0.0183159i
\(417\) 4.90713 + 19.5862i 0.240303 + 0.959138i
\(418\) 17.7643 + 10.2562i 0.868880 + 0.501648i
\(419\) −13.9562 −0.681804 −0.340902 0.940099i \(-0.610732\pi\)
−0.340902 + 0.940099i \(0.610732\pi\)
\(420\) 5.53746 + 2.47990i 0.270200 + 0.121007i
\(421\) −28.5137 −1.38967 −0.694837 0.719168i \(-0.744523\pi\)
−0.694837 + 0.719168i \(0.744523\pi\)
\(422\) −2.26269 1.30637i −0.110146 0.0635930i
\(423\) 0.475670 14.5752i 0.0231279 0.708669i
\(424\) 1.15967 + 2.00861i 0.0563186 + 0.0975467i
\(425\) 2.49118 4.31485i 0.120840 0.209301i
\(426\) −6.29652 + 22.0535i −0.305067 + 1.06850i
\(427\) 7.35474 + 18.3790i 0.355921 + 0.889422i
\(428\) 14.4432i 0.698137i
\(429\) 3.08661 + 3.18899i 0.149023 + 0.153966i
\(430\) 7.81445 4.51167i 0.376846 0.217572i
\(431\) −35.4458 + 20.4647i −1.70737 + 0.985748i −0.769570 + 0.638562i \(0.779530\pi\)
−0.937796 + 0.347186i \(0.887137\pi\)
\(432\) −1.09774 5.07888i −0.0528149 0.244358i
\(433\) 8.15508i 0.391908i −0.980613 0.195954i \(-0.937220\pi\)
0.980613 0.195954i \(-0.0627804\pi\)
\(434\) −15.7612 12.3985i −0.756563 0.595146i
\(435\) 10.0187 + 2.86044i 0.480358 + 0.137147i
\(436\) −4.14273 + 7.17542i −0.198401 + 0.343640i
\(437\) 1.72661 + 2.99058i 0.0825950 + 0.143059i
\(438\) 21.5720 5.40465i 1.03075 0.258244i
\(439\) −21.1201 12.1937i −1.00801 0.581973i −0.0973992 0.995245i \(-0.531052\pi\)
−0.910607 + 0.413272i \(0.864386\pi\)
\(440\) −7.86478 −0.374939
\(441\) 13.9836 + 15.6671i 0.665888 + 0.746052i
\(442\) −0.661910 −0.0314838
\(443\) −24.9142 14.3842i −1.18371 0.683416i −0.226841 0.973932i \(-0.572840\pi\)
−0.956870 + 0.290516i \(0.906173\pi\)
\(444\) −5.32054 + 1.33301i −0.252502 + 0.0632619i
\(445\) 10.9881 + 19.0320i 0.520888 + 0.902204i
\(446\) 0.116431 0.201665i 0.00551318 0.00954911i
\(447\) −9.20390 2.62781i −0.435330 0.124291i
\(448\) −2.07946 1.63580i −0.0982454 0.0772842i
\(449\) 10.5522i 0.497988i −0.968505 0.248994i \(-0.919900\pi\)
0.968505 0.248994i \(-0.0800999\pi\)
\(450\) 4.59272 + 8.59028i 0.216503 + 0.404950i
\(451\) 4.88728 2.82167i 0.230133 0.132867i
\(452\) 7.66610 4.42603i 0.360583 0.208183i
\(453\) −11.9182 12.3135i −0.559967 0.578540i
\(454\) 7.66997i 0.359970i
\(455\) 0.561406 + 1.40292i 0.0263191 + 0.0657697i
\(456\) 1.64207 5.75133i 0.0768968 0.269331i
\(457\) 8.83043 15.2948i 0.413070 0.715459i −0.582154 0.813079i \(-0.697790\pi\)
0.995224 + 0.0976203i \(0.0311231\pi\)
\(458\) 3.14418 + 5.44588i 0.146918 + 0.254469i
\(459\) 7.59143 + 2.43790i 0.354338 + 0.113791i
\(460\) −1.14663 0.662008i −0.0534620 0.0308663i
\(461\) −17.3436 −0.807771 −0.403886 0.914810i \(-0.632341\pi\)
−0.403886 + 0.914810i \(0.632341\pi\)
\(462\) −24.8434 11.1259i −1.15582 0.517623i
\(463\) −0.550380 −0.0255783 −0.0127892 0.999918i \(-0.504071\pi\)
−0.0127892 + 0.999918i \(0.504071\pi\)
\(464\) −3.93462 2.27166i −0.182660 0.105459i
\(465\) 4.22426 + 16.8606i 0.195896 + 0.781892i
\(466\) −5.98926 10.3737i −0.277447 0.480552i
\(467\) 3.14205 5.44218i 0.145397 0.251834i −0.784124 0.620604i \(-0.786888\pi\)
0.929521 + 0.368770i \(0.120221\pi\)
\(468\) 0.683258 1.09901i 0.0315836 0.0508020i
\(469\) −3.28315 + 22.8112i −0.151602 + 1.05333i
\(470\) 6.43601i 0.296871i
\(471\) 4.28482 4.14726i 0.197434 0.191096i
\(472\) −3.20274 + 1.84910i −0.147418 + 0.0851119i
\(473\) −35.0589 + 20.2413i −1.61201 + 0.930694i
\(474\) 16.1414 15.6232i 0.741400 0.717599i
\(475\) 11.2125i 0.514467i
\(476\) 3.76920 1.50832i 0.172761 0.0691339i
\(477\) 3.67371 5.90914i 0.168208 0.270561i
\(478\) 11.1510 19.3141i 0.510036 0.883408i
\(479\) −8.68863 15.0491i −0.396994 0.687613i 0.596360 0.802717i \(-0.296613\pi\)
−0.993353 + 0.115104i \(0.963280\pi\)
\(480\) 0.557330 + 2.22451i 0.0254385 + 0.101534i
\(481\) −1.18301 0.683013i −0.0539407 0.0311427i
\(482\) 27.1641 1.23729
\(483\) −2.68549 3.71324i −0.122194 0.168958i
\(484\) 24.2847 1.10385
\(485\) 11.8712 + 6.85383i 0.539043 + 0.311217i
\(486\) −11.8841 + 10.0880i −0.539073 + 0.457603i
\(487\) −12.1339 21.0165i −0.549839 0.952350i −0.998285 0.0585397i \(-0.981356\pi\)
0.448446 0.893810i \(-0.351978\pi\)
\(488\) −3.74108 + 6.47975i −0.169351 + 0.293324i
\(489\) −8.32779 + 29.1681i −0.376596 + 1.31903i
\(490\) −6.39378 6.70951i −0.288841 0.303105i
\(491\) 8.38198i 0.378274i −0.981951 0.189137i \(-0.939431\pi\)
0.981951 0.189137i \(-0.0605690\pi\)
\(492\) −1.14443 1.18238i −0.0515947 0.0533060i
\(493\) 6.03752 3.48576i 0.271916 0.156991i
\(494\) 1.29003 0.744797i 0.0580411 0.0335100i
\(495\) 11.1244 + 20.8072i 0.500004 + 0.935215i
\(496\) 7.57947i 0.340328i
\(497\) 21.6603 27.5350i 0.971596 1.23511i
\(498\) −5.58621 1.59492i −0.250324 0.0714702i
\(499\) 14.8966 25.8017i 0.666863 1.15504i −0.311914 0.950110i \(-0.600970\pi\)
0.978777 0.204930i \(-0.0656967\pi\)
\(500\) −5.45957 9.45625i −0.244159 0.422896i
\(501\) −10.6032 + 2.65654i −0.473718 + 0.118686i
\(502\) −7.57388 4.37278i −0.338039 0.195167i
\(503\) 37.7983 1.68534 0.842671 0.538428i \(-0.180982\pi\)
0.842671 + 0.538428i \(0.180982\pi\)
\(504\) −1.38639 + 7.81524i −0.0617547 + 0.348118i
\(505\) −21.5142 −0.957369
\(506\) 5.14427 + 2.97005i 0.228691 + 0.132035i
\(507\) −21.5290 + 5.39388i −0.956135 + 0.239551i
\(508\) −6.45455 11.1796i −0.286374 0.496015i
\(509\) 20.1561 34.9114i 0.893403 1.54742i 0.0576334 0.998338i \(-0.481645\pi\)
0.835769 0.549081i \(-0.185022\pi\)
\(510\) −3.38370 0.966083i −0.149833 0.0427789i
\(511\) −33.6237 4.83935i −1.48742 0.214080i
\(512\) 1.00000i 0.0441942i
\(513\) −17.5385 + 3.79072i −0.774342 + 0.167365i
\(514\) −7.29509 + 4.21182i −0.321773 + 0.185776i
\(515\) 18.7112 10.8029i 0.824513 0.476033i
\(516\) 8.20954 + 8.48184i 0.361405 + 0.373392i
\(517\) 28.8747i 1.26991i
\(518\) 8.29300 + 1.19359i 0.364374 + 0.0524431i
\(519\) −2.19987 + 7.70503i −0.0965636 + 0.338213i
\(520\) −0.285566 + 0.494615i −0.0125229 + 0.0216903i
\(521\) −7.27692 12.6040i −0.318808 0.552191i 0.661432 0.750005i \(-0.269949\pi\)
−0.980240 + 0.197814i \(0.936616\pi\)
\(522\) −0.444585 + 13.6227i −0.0194590 + 0.596249i
\(523\) 11.0289 + 6.36755i 0.482261 + 0.278433i 0.721358 0.692562i \(-0.243518\pi\)
−0.239097 + 0.970996i \(0.576852\pi\)
\(524\) −12.8964 −0.563381
\(525\) −1.52311 14.8014i −0.0664739 0.645985i
\(526\) −13.7000 −0.597349
\(527\) 10.0722 + 5.81519i 0.438752 + 0.253314i
\(528\) −2.50042 9.98008i −0.108817 0.434327i
\(529\) 0.500000 + 0.866025i 0.0217391 + 0.0376533i
\(530\) −1.53542 + 2.65943i −0.0666945 + 0.115518i
\(531\) 9.42217 + 5.85776i 0.408887 + 0.254205i
\(532\) −5.64877 + 7.18084i −0.244905 + 0.311329i
\(533\) 0.409814i 0.0177510i
\(534\) −20.6574 + 19.9943i −0.893935 + 0.865237i
\(535\) 16.5610 9.56149i 0.715994 0.413379i
\(536\) −7.54367 + 4.35534i −0.325837 + 0.188122i
\(537\) 26.2167 25.3750i 1.13133 1.09501i
\(538\) 2.33535i 0.100684i
\(539\) 28.6852 + 30.1017i 1.23556 + 1.29657i
\(540\) 5.09689 4.62095i 0.219335 0.198854i
\(541\) 5.76926 9.99265i 0.248040 0.429618i −0.714942 0.699184i \(-0.753547\pi\)
0.962982 + 0.269566i \(0.0868803\pi\)
\(542\) −0.876376 1.51793i −0.0376436 0.0652006i
\(543\) −2.68444 10.7146i −0.115200 0.459808i
\(544\) 1.32888 + 0.767229i 0.0569753 + 0.0328947i
\(545\) −10.9701 −0.469907
\(546\) −1.60176 + 1.15842i −0.0685489 + 0.0495760i
\(547\) −34.2942 −1.46631 −0.733156 0.680060i \(-0.761954\pi\)
−0.733156 + 0.680060i \(0.761954\pi\)
\(548\) 13.2390 + 7.64352i 0.565540 + 0.326515i
\(549\) 22.4346 + 0.732166i 0.957484 + 0.0312481i
\(550\) 9.64369 + 16.7034i 0.411208 + 0.712234i
\(551\) −7.84453 + 13.5871i −0.334188 + 0.578831i
\(552\) 0.475517 1.66550i 0.0202394 0.0708883i
\(553\) −31.8582 + 12.7487i −1.35475 + 0.542130i
\(554\) 7.84807i 0.333432i
\(555\) −5.05071 5.21823i −0.214391 0.221502i
\(556\) 10.0958 5.82879i 0.428156 0.247196i
\(557\) −7.99915 + 4.61831i −0.338935 + 0.195684i −0.659801 0.751440i \(-0.729359\pi\)
0.320866 + 0.947125i \(0.396026\pi\)
\(558\) −20.0524 + 10.7208i −0.848886 + 0.453849i
\(559\) 2.93980i 0.124340i
\(560\) 0.499036 3.46729i 0.0210881 0.146520i
\(561\) 15.1807 + 4.33426i 0.640931 + 0.182993i
\(562\) −3.52052 + 6.09772i −0.148504 + 0.257217i
\(563\) −0.0487491 0.0844359i −0.00205453 0.00355855i 0.864996 0.501778i \(-0.167321\pi\)
−0.867051 + 0.498220i \(0.833987\pi\)
\(564\) −8.16704 + 2.04617i −0.343894 + 0.0861595i
\(565\) 10.1500 + 5.86013i 0.427015 + 0.246537i
\(566\) 5.53734 0.232752
\(567\) 22.6371 7.38646i 0.950671 0.310202i
\(568\) 13.2414 0.555597
\(569\) −10.1195 5.84250i −0.424231 0.244930i 0.272655 0.962112i \(-0.412098\pi\)
−0.696886 + 0.717182i \(0.745432\pi\)
\(570\) 7.68172 1.92458i 0.321752 0.0806118i
\(571\) 6.08543 + 10.5403i 0.254667 + 0.441096i 0.964805 0.262966i \(-0.0847008\pi\)
−0.710138 + 0.704063i \(0.751367\pi\)
\(572\) 1.28117 2.21905i 0.0535685 0.0927833i
\(573\) 12.8160 + 3.65911i 0.535396 + 0.152861i
\(574\) 0.933862 + 2.33366i 0.0389787 + 0.0974051i
\(575\) 3.24698i 0.135409i
\(576\) −2.64562 + 1.41446i −0.110234 + 0.0589357i
\(577\) 6.38984 3.68918i 0.266013 0.153582i −0.361062 0.932542i \(-0.617586\pi\)
0.627074 + 0.778960i \(0.284252\pi\)
\(578\) 12.6833 7.32272i 0.527557 0.304585i
\(579\) −14.4404 14.9194i −0.600123 0.620028i
\(580\) 6.01542i 0.249777i
\(581\) 6.97468 + 5.48659i 0.289359 + 0.227622i
\(582\) −4.92308 + 17.2431i −0.204068 + 0.714748i
\(583\) 6.88856 11.9313i 0.285295 0.494145i
\(584\) −6.41976 11.1193i −0.265652 0.460122i
\(585\) 1.71249 + 0.0558881i 0.0708026 + 0.00231069i
\(586\) 0.781660 + 0.451291i 0.0322901 + 0.0186427i
\(587\) 21.3626 0.881728 0.440864 0.897574i \(-0.354672\pi\)
0.440864 + 0.897574i \(0.354672\pi\)
\(588\) 6.48135 10.2466i 0.267286 0.422561i
\(589\) −26.1736 −1.07846
\(590\) −4.24048 2.44824i −0.174578 0.100793i
\(591\) 6.38595 + 25.4887i 0.262683 + 1.04847i
\(592\) 1.58338 + 2.74249i 0.0650765 + 0.112716i
\(593\) −15.5202 + 26.8817i −0.637338 + 1.10390i 0.348677 + 0.937243i \(0.386631\pi\)
−0.986015 + 0.166658i \(0.946702\pi\)
\(594\) −22.8668 + 20.7316i −0.938236 + 0.850626i
\(595\) 4.22473 + 3.32336i 0.173197 + 0.136245i
\(596\) 5.52622i 0.226363i
\(597\) −30.1039 + 29.1375i −1.23207 + 1.19252i
\(598\) 0.373572 0.215682i 0.0152765 0.00881989i
\(599\) −22.6228 + 13.0613i −0.924343 + 0.533669i −0.885018 0.465557i \(-0.845854\pi\)
−0.0393247 + 0.999226i \(0.512521\pi\)
\(600\) 4.04106 3.91133i 0.164976 0.159679i
\(601\) 31.4368i 1.28233i 0.767401 + 0.641167i \(0.221549\pi\)
−0.767401 + 0.641167i \(0.778451\pi\)
\(602\) −6.69906 16.7405i −0.273033 0.682292i
\(603\) 22.1928 + 13.7973i 0.903760 + 0.561868i
\(604\) −4.94694 + 8.56835i −0.201288 + 0.348641i
\(605\) 16.0767 + 27.8456i 0.653610 + 1.13209i
\(606\) −6.83991 27.3006i −0.277853 1.10901i
\(607\) −17.2647 9.96780i −0.700754 0.404580i 0.106874 0.994273i \(-0.465916\pi\)
−0.807628 + 0.589692i \(0.799249\pi\)
\(608\) −3.45322 −0.140047
\(609\) 8.50969 19.0016i 0.344830 0.769984i
\(610\) −9.90651 −0.401103
\(611\) −1.81593 1.04843i −0.0734645 0.0424148i
\(612\) 0.150154 4.60093i 0.00606962 0.185981i
\(613\) −4.88790 8.46610i −0.197421 0.341942i 0.750271 0.661131i \(-0.229923\pi\)
−0.947691 + 0.319188i \(0.896590\pi\)
\(614\) 14.1370 24.4860i 0.570524 0.988176i
\(615\) 0.598140 2.09498i 0.0241193 0.0844778i
\(616\) −2.23889 + 15.5557i −0.0902073 + 0.626758i
\(617\) 46.6722i 1.87895i 0.342615 + 0.939476i \(0.388687\pi\)
−0.342615 + 0.939476i \(0.611313\pi\)
\(618\) 19.6572 + 20.3092i 0.790729 + 0.816956i
\(619\) −11.1566 + 6.44124i −0.448420 + 0.258895i −0.707163 0.707051i \(-0.750025\pi\)
0.258743 + 0.965946i \(0.416692\pi\)
\(620\) 8.69086 5.01767i 0.349033 0.201514i
\(621\) −5.07888 + 1.09774i −0.203808 + 0.0440506i
\(622\) 15.8506i 0.635551i
\(623\) 40.7714 16.3155i 1.63347 0.653668i
\(624\) −0.718436 0.205121i −0.0287605 0.00821142i
\(625\) −0.888903 + 1.53962i −0.0355561 + 0.0615850i
\(626\) −16.4782 28.5410i −0.658599 1.14073i
\(627\) −34.4634 + 8.63449i −1.37634 + 0.344828i
\(628\) −2.98159 1.72142i −0.118978 0.0686921i
\(629\) −4.85926 −0.193751
\(630\) −9.87900 + 3.58407i −0.393589 + 0.142793i
\(631\) 25.4564 1.01340 0.506702 0.862121i \(-0.330864\pi\)
0.506702 + 0.862121i \(0.330864\pi\)
\(632\) −11.2320 6.48480i −0.446785 0.257951i
\(633\) 4.38971 1.09980i 0.174475 0.0437132i
\(634\) 10.4758 + 18.1446i 0.416047 + 0.720615i
\(635\) 8.54593 14.8020i 0.339135 0.587399i
\(636\) −3.86286 1.10289i −0.153172 0.0437323i
\(637\) 2.93464 0.711031i 0.116275 0.0281721i
\(638\) 26.9877i 1.06845i
\(639\) −18.7294 35.0318i −0.740924 1.38583i
\(640\) 1.14663 0.662008i 0.0453246 0.0261682i
\(641\) 11.3251 6.53858i 0.447316 0.258258i −0.259380 0.965775i \(-0.583518\pi\)
0.706696 + 0.707517i \(0.250185\pi\)
\(642\) 17.3983 + 17.9754i 0.686656 + 0.709431i
\(643\) 15.8515i 0.625123i 0.949898 + 0.312561i \(0.101187\pi\)
−0.949898 + 0.312561i \(0.898813\pi\)
\(644\) −1.63580 + 2.07946i −0.0644595 + 0.0819423i
\(645\) −4.29076 + 15.0284i −0.168948 + 0.591741i
\(646\) 2.64941 4.58891i 0.104240 0.180548i
\(647\) 1.08917 + 1.88651i 0.0428199 + 0.0741662i 0.886641 0.462458i \(-0.153033\pi\)
−0.843821 + 0.536624i \(0.819699\pi\)
\(648\) 7.48424 + 4.99862i 0.294009 + 0.196364i
\(649\) 19.0246 + 10.9838i 0.746780 + 0.431154i
\(650\) 1.40063 0.0549373
\(651\) 34.5511 3.55541i 1.35416 0.139348i
\(652\) 17.5131 0.685867
\(653\) −1.31906 0.761562i −0.0516190 0.0298022i 0.473968 0.880542i \(-0.342821\pi\)
−0.525587 + 0.850740i \(0.676154\pi\)
\(654\) −3.48767 13.9206i −0.136379 0.544338i
\(655\) −8.53751 14.7874i −0.333588 0.577792i
\(656\) −0.475021 + 0.822761i −0.0185465 + 0.0321234i
\(657\) −20.3371 + 32.7121i −0.793426 + 1.27622i
\(658\) 12.7298 + 1.83216i 0.496258 + 0.0714249i
\(659\) 0.495255i 0.0192924i 0.999953 + 0.00964620i \(0.00307053\pi\)
−0.999953 + 0.00964620i \(0.996929\pi\)
\(660\) 9.78818 9.47395i 0.381004 0.368773i
\(661\) 12.5499 7.24567i 0.488133 0.281824i −0.235667 0.971834i \(-0.575727\pi\)
0.723800 + 0.690010i \(0.242394\pi\)
\(662\) −19.5234 + 11.2718i −0.758798 + 0.438092i
\(663\) 0.823786 0.797340i 0.0319932 0.0309661i
\(664\) 3.35408i 0.130164i
\(665\) −11.9733 1.72328i −0.464305 0.0668260i
\(666\) 5.01598 8.06816i 0.194365 0.312635i
\(667\) −2.27166 + 3.93462i −0.0879589 + 0.152349i
\(668\) 3.15550 + 5.46548i 0.122090 + 0.211466i
\(669\) 0.0980209 + 0.391238i 0.00378971 + 0.0151261i
\(670\) −9.98794 5.76654i −0.385868 0.222781i
\(671\) 44.4448 1.71577
\(672\) 4.55850 0.469084i 0.175848 0.0180953i
\(673\) −17.2937 −0.666623 −0.333312 0.942817i \(-0.608166\pi\)
−0.333312 + 0.942817i \(0.608166\pi\)
\(674\) 10.2084 + 5.89384i 0.393214 + 0.227022i
\(675\) −16.0638 5.15871i −0.618296 0.198559i
\(676\) 6.40696 + 11.0972i 0.246422 + 0.426815i
\(677\) −14.2617 + 24.7019i −0.548120 + 0.949372i 0.450283 + 0.892886i \(0.351323\pi\)
−0.998403 + 0.0564865i \(0.982010\pi\)
\(678\) −4.20930 + 14.7431i −0.161657 + 0.566204i
\(679\) 16.9356 21.5289i 0.649928 0.826203i
\(680\) 2.03165i 0.0779101i
\(681\) −9.23928 9.54573i −0.354050 0.365793i
\(682\) −38.9909 + 22.5114i −1.49304 + 0.862006i
\(683\) 4.64981 2.68457i 0.177920 0.102722i −0.408395 0.912805i \(-0.633911\pi\)
0.586315 + 0.810083i \(0.300578\pi\)
\(684\) 4.88443 + 9.13591i 0.186761 + 0.349320i
\(685\) 20.2403i 0.773341i
\(686\) −15.0908 + 10.7362i −0.576171 + 0.409911i
\(687\) −10.4733 2.99023i −0.399580 0.114084i
\(688\) 3.40757 5.90208i 0.129912 0.225015i
\(689\) −0.500240 0.866442i −0.0190576 0.0330088i
\(690\) 2.22451 0.557330i 0.0846856 0.0212172i
\(691\) −16.1930 9.34901i −0.616009 0.355653i 0.159304 0.987230i \(-0.449075\pi\)
−0.775314 + 0.631576i \(0.782408\pi\)
\(692\) 4.62626 0.175864
\(693\) 44.3213 16.0797i 1.68363 0.610816i
\(694\) 15.2555 0.579089
\(695\) 13.3669 + 7.71741i 0.507037 + 0.292738i
\(696\) 7.63332 1.91246i 0.289340 0.0724915i
\(697\) −0.728900 1.26249i −0.0276091 0.0478203i
\(698\) 1.95141 3.37994i 0.0738620 0.127933i
\(699\) 19.9502 + 5.69599i 0.754585 + 0.215442i
\(700\) −7.97580 + 3.19168i −0.301457 + 0.120634i
\(701\) 35.7422i 1.34996i 0.737834 + 0.674982i \(0.235849\pi\)
−0.737834 + 0.674982i \(0.764151\pi\)
\(702\) 0.473524 + 2.19084i 0.0178720 + 0.0826881i
\(703\) 9.47043 5.46776i 0.357184 0.206220i
\(704\) −5.14427 + 2.97005i −0.193882 + 0.111938i
\(705\) −7.75285 8.01000i −0.291989 0.301674i
\(706\) 19.3287i 0.727443i
\(707\) −6.12450 + 42.5528i −0.230335 + 1.60036i
\(708\) 1.75856 6.15936i 0.0660908 0.231483i
\(709\) 3.25992 5.64635i 0.122429 0.212053i −0.798296 0.602265i \(-0.794265\pi\)
0.920725 + 0.390212i \(0.127598\pi\)
\(710\) 8.76592 + 15.1830i 0.328979 + 0.569808i
\(711\) −1.26914 + 38.8881i −0.0475963 + 1.45842i
\(712\) 14.3745 + 8.29910i 0.538706 + 0.311022i
\(713\) −7.57947 −0.283853
\(714\) −2.87406 + 6.41760i −0.107559 + 0.240173i
\(715\) 3.39258 0.126875
\(716\) −18.2428 10.5325i −0.681767 0.393618i
\(717\) 9.38779 + 37.4702i 0.350594 + 1.39935i
\(718\) 6.56842 + 11.3768i 0.245131 + 0.424580i
\(719\) 10.1906 17.6506i 0.380045 0.658257i −0.611023 0.791613i \(-0.709242\pi\)
0.991068 + 0.133355i \(0.0425751\pi\)
\(720\) −3.37328 2.09717i −0.125715 0.0781569i
\(721\) −16.0405 40.0841i −0.597378 1.49281i
\(722\) 7.07527i 0.263314i
\(723\) −33.8073 + 32.7220i −1.25731 + 1.21694i
\(724\) −5.52288 + 3.18864i −0.205256 + 0.118505i
\(725\) −12.7757 + 7.37603i −0.474476 + 0.273939i
\(726\) −30.2238 + 29.2535i −1.12171 + 1.08570i
\(727\) 10.5786i 0.392337i 0.980570 + 0.196169i \(0.0628500\pi\)
−0.980570 + 0.196169i \(0.937150\pi\)
\(728\) 0.897005 + 0.705624i 0.0332452 + 0.0261522i
\(729\) 2.63833 26.8708i 0.0977160 0.995214i
\(730\) 8.49986 14.7222i 0.314594 0.544893i
\(731\) 5.22877 + 9.05649i 0.193393 + 0.334967i
\(732\) −3.14953 12.5710i −0.116410 0.464636i
\(733\) 41.6777 + 24.0626i 1.53940 + 0.888774i 0.998874 + 0.0474473i \(0.0151086\pi\)
0.540527 + 0.841326i \(0.318225\pi\)
\(734\) 2.53542 0.0935842
\(735\) 16.0397 + 0.648407i 0.591635 + 0.0239169i
\(736\) −1.00000 −0.0368605
\(737\) 44.8101 + 25.8711i 1.65060 + 0.952975i
\(738\) 2.84861 + 0.0929662i 0.104859 + 0.00342213i
\(739\) 0.111573 + 0.193251i 0.00410430 + 0.00710885i 0.868070 0.496441i \(-0.165360\pi\)
−0.863966 + 0.503550i \(0.832027\pi\)
\(740\) −2.09642 + 3.63110i −0.0770659 + 0.133482i
\(741\) −0.708328 + 2.48092i −0.0260211 + 0.0911388i
\(742\) 4.82299 + 3.79398i 0.177057 + 0.139281i
\(743\) 9.67336i 0.354881i 0.984132 + 0.177441i \(0.0567818\pi\)
−0.984132 + 0.177441i \(0.943218\pi\)
\(744\) 9.13027 + 9.43310i 0.334732 + 0.345834i
\(745\) −6.33653 + 3.65840i −0.232153 + 0.134033i
\(746\) −25.4042 + 14.6671i −0.930112 + 0.537001i
\(747\) 8.87362 4.74420i 0.324669 0.173581i
\(748\) 9.11483i 0.333271i
\(749\) −14.1972 35.4778i −0.518754 1.29633i
\(750\) 18.1858 + 5.19224i 0.664051 + 0.189594i
\(751\) −4.08105 + 7.06859i −0.148920 + 0.257936i −0.930828 0.365456i \(-0.880913\pi\)
0.781909 + 0.623393i \(0.214246\pi\)
\(752\) 2.43049 + 4.20973i 0.0886308 + 0.153513i
\(753\) 14.6936 3.68135i 0.535465 0.134156i
\(754\) 1.69726 + 0.979911i 0.0618104 + 0.0356863i
\(755\) −13.0997 −0.476745
\(756\) −7.68883 11.3966i −0.279640 0.414489i
\(757\) −14.0515 −0.510710 −0.255355 0.966847i \(-0.582192\pi\)
−0.255355 + 0.966847i \(0.582192\pi\)
\(758\) 19.9973 + 11.5454i 0.726334 + 0.419349i
\(759\) −9.98008 + 2.50042i −0.362254 + 0.0907593i
\(760\) −2.28606 3.95957i −0.0829241 0.143629i
\(761\) 22.1322 38.3341i 0.802291 1.38961i −0.115814 0.993271i \(-0.536948\pi\)
0.918105 0.396337i \(-0.129719\pi\)
\(762\) 21.5001 + 6.13850i 0.778866 + 0.222374i
\(763\) −3.12288 + 21.6977i −0.113056 + 0.785509i
\(764\) 7.69500i 0.278395i
\(765\) 5.37497 2.87368i 0.194332 0.103898i
\(766\) −0.517829 + 0.298968i −0.0187099 + 0.0108022i
\(767\) 1.38155 0.797637i 0.0498848 0.0288010i
\(768\) 1.20460 + 1.24456i 0.0434674 + 0.0449092i
\(769\) 37.9898i 1.36995i −0.728568 0.684974i \(-0.759814\pi\)
0.728568 0.684974i \(-0.240186\pi\)
\(770\) −19.3188 + 7.73083i −0.696202 + 0.278600i