Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [520,2,Mod(101,520)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(520, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("520.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 520 = 2^{3} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 520.ca (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: | \(4.15222090511\) |
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 | 101.12 | ||
Character | \(\chi\) | \(=\) | 520.101 |
Dual form | 520.2.ca.b.381.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/520\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(261\) | \(391\) | \(417\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.417482 | + | 1.35119i | −0.295205 | + | 0.955434i | ||||
\(3\) | −1.00502 | + | 0.580249i | −0.580249 | + | 0.335007i | −0.761232 | − | 0.648479i | \(-0.775405\pi\) |
0.180983 | + | 0.983486i | \(0.442072\pi\) | |||||||
\(4\) | −1.65142 | − | 1.12819i | −0.825708 | − | 0.564097i | ||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | −0.364447 | − | 1.60022i | −0.148785 | − | 0.653285i | ||||
\(7\) | −2.74313 | − | 1.58374i | −1.03680 | − | 0.598599i | −0.117878 | − | 0.993028i | \(-0.537609\pi\) |
−0.918926 | + | 0.394429i | \(0.870942\pi\) | |||||||
\(8\) | 2.21384 | − | 1.76037i | 0.782711 | − | 0.622386i | ||||
\(9\) | −0.826622 | + | 1.43175i | −0.275541 | + | 0.477251i | ||||
\(10\) | −0.417482 | + | 1.35119i | −0.132020 | + | 0.427283i | ||||
\(11\) | −1.23270 | − | 2.13510i | −0.371674 | − | 0.643758i | 0.618149 | − | 0.786061i | \(-0.287883\pi\) |
−0.989823 | + | 0.142303i | \(0.954549\pi\) | |||||||
\(12\) | 2.31434 | + | 0.175626i | 0.668093 | + | 0.0506988i | ||||
\(13\) | 3.60242 | − | 0.150193i | 0.999132 | − | 0.0416560i | ||||
\(14\) | 3.28514 | − | 3.04529i | 0.877991 | − | 0.813888i | ||||
\(15\) | −1.00502 | + | 0.580249i | −0.259495 | + | 0.149820i | ||||
\(16\) | 1.45435 | + | 3.72624i | 0.363589 | + | 0.931560i | ||||
\(17\) | 0.369228 | − | 0.639522i | 0.0895509 | − | 0.155107i | −0.817770 | − | 0.575544i | \(-0.804790\pi\) |
0.907321 | + | 0.420438i | \(0.138123\pi\) | |||||||
\(18\) | −1.58946 | − | 1.71465i | −0.374640 | − | 0.404148i | ||||
\(19\) | 4.31749 | − | 7.47811i | 0.990499 | − | 1.71560i | 0.376157 | − | 0.926556i | \(-0.377245\pi\) |
0.614342 | − | 0.789040i | \(-0.289421\pi\) | |||||||
\(20\) | −1.65142 | − | 1.12819i | −0.369268 | − | 0.252272i | ||||
\(21\) | 3.67586 | 0.802139 | ||||||||
\(22\) | 3.39956 | − | 0.774244i | 0.724788 | − | 0.165069i | ||||
\(23\) | 2.88507 | + | 4.99708i | 0.601578 | + | 1.04196i | 0.992582 | + | 0.121575i | \(0.0387945\pi\) |
−0.391004 | + | 0.920389i | \(0.627872\pi\) | |||||||
\(24\) | −1.20350 | + | 3.05379i | −0.245664 | + | 0.623352i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | −1.30101 | + | 4.93025i | −0.255149 | + | 0.966902i | ||||
\(27\) | − | 5.40008i | − | 1.03925i | ||||||
\(28\) | 2.74327 | + | 5.71020i | 0.518430 | + | 1.07913i | ||||
\(29\) | 1.59257 | − | 0.919468i | 0.295732 | − | 0.170741i | −0.344792 | − | 0.938679i | \(-0.612051\pi\) |
0.640524 | + | 0.767938i | \(0.278717\pi\) | |||||||
\(30\) | −0.364447 | − | 1.60022i | −0.0665386 | − | 0.292158i | ||||
\(31\) | − | 9.05883i | − | 1.62701i | −0.581556 | − | 0.813507i | \(-0.697556\pi\) | ||
0.581556 | − | 0.813507i | \(-0.302444\pi\) | |||||||
\(32\) | −5.64202 | + | 0.409467i | −0.997377 | + | 0.0723842i | ||||
\(33\) | 2.47778 | + | 1.43055i | 0.431327 | + | 0.249027i | ||||
\(34\) | 0.709967 | + | 0.765885i | 0.121758 | + | 0.131348i | ||||
\(35\) | −2.74313 | − | 1.58374i | −0.463673 | − | 0.267702i | ||||
\(36\) | 2.98039 | − | 1.43183i | 0.496732 | − | 0.238638i | ||||
\(37\) | 1.35800 | + | 2.35212i | 0.223253 | + | 0.386686i | 0.955794 | − | 0.294037i | \(-0.0949989\pi\) |
−0.732541 | + | 0.680723i | \(0.761666\pi\) | |||||||
\(38\) | 8.30185 | + | 8.95571i | 1.34674 | + | 1.45281i | ||||
\(39\) | −3.53336 | + | 2.24125i | −0.565790 | + | 0.358887i | ||||
\(40\) | 2.21384 | − | 1.76037i | 0.350039 | − | 0.278339i | ||||
\(41\) | 0.165016 | − | 0.0952718i | 0.0257711 | − | 0.0148790i | −0.487059 | − | 0.873369i | \(-0.661930\pi\) |
0.512830 | + | 0.858490i | \(0.328597\pi\) | |||||||
\(42\) | −1.53461 | + | 4.96678i | −0.236795 | + | 0.766391i | ||||
\(43\) | 7.43510 | + | 4.29266i | 1.13384 | + | 0.654624i | 0.944899 | − | 0.327363i | \(-0.106160\pi\) |
0.188944 | + | 0.981988i | \(0.439493\pi\) | |||||||
\(44\) | −0.373106 | + | 4.91667i | −0.0562479 | + | 0.741216i | ||||
\(45\) | −0.826622 | + | 1.43175i | −0.123226 | + | 0.213433i | ||||
\(46\) | −7.95646 | + | 1.81207i | −1.17312 | + | 0.267176i | ||||
\(47\) | 8.23945i | 1.20185i | 0.799307 | + | 0.600923i | \(0.205200\pi\) | ||||
−0.799307 | + | 0.600923i | \(0.794800\pi\) | |||||||
\(48\) | −3.62380 | − | 2.90106i | −0.523051 | − | 0.418732i | ||||
\(49\) | 1.51649 | + | 2.62664i | 0.216642 | + | 0.375234i | ||||
\(50\) | −0.417482 | + | 1.35119i | −0.0590409 | + | 0.191087i | ||||
\(51\) | 0.856977i | 0.120001i | ||||||||
\(52\) | −6.11855 | − | 3.81620i | −0.848490 | − | 0.529212i | ||||
\(53\) | − | 4.18560i | − | 0.574936i | −0.957790 | − | 0.287468i | \(-0.907186\pi\) | ||
0.957790 | − | 0.287468i | \(-0.0928135\pi\) | |||||||
\(54\) | 7.29652 | + | 2.25444i | 0.992931 | + | 0.306790i | ||||
\(55\) | −1.23270 | − | 2.13510i | −0.166218 | − | 0.287897i | ||||
\(56\) | −8.86082 | + | 1.32277i | −1.18408 | + | 0.176762i | ||||
\(57\) | 10.0209i | 1.32730i | ||||||||
\(58\) | 0.577506 | + | 2.53572i | 0.0758302 | + | 0.332956i | ||||
\(59\) | 5.72512 | − | 9.91620i | 0.745347 | − | 1.29098i | −0.204685 | − | 0.978828i | \(-0.565617\pi\) |
0.950032 | − | 0.312151i | \(-0.101050\pi\) | |||||||
\(60\) | 2.31434 | + | 0.175626i | 0.298780 | + | 0.0226732i | ||||
\(61\) | −4.03040 | − | 2.32695i | −0.516040 | − | 0.297936i | 0.219273 | − | 0.975664i | \(-0.429632\pi\) |
−0.735313 | + | 0.677728i | \(0.762965\pi\) | |||||||
\(62\) | 12.2402 | + | 3.78190i | 1.55450 | + | 0.480302i | ||||
\(63\) | 4.53506 | − | 2.61832i | 0.571363 | − | 0.329877i | ||||
\(64\) | 1.80218 | − | 7.79437i | 0.225272 | − | 0.974296i | ||||
\(65\) | 3.60242 | − | 0.150193i | 0.446825 | − | 0.0186291i | ||||
\(66\) | −2.96737 | + | 2.75072i | −0.365258 | + | 0.338590i | ||||
\(67\) | −1.66496 | − | 2.88379i | −0.203407 | − | 0.352311i | 0.746217 | − | 0.665703i | \(-0.231868\pi\) |
−0.949624 | + | 0.313391i | \(0.898535\pi\) | |||||||
\(68\) | −1.33125 | + | 0.639556i | −0.161438 | + | 0.0775575i | ||||
\(69\) | −5.79911 | − | 3.34812i | −0.698130 | − | 0.403066i | ||||
\(70\) | 3.28514 | − | 3.04529i | 0.392650 | − | 0.363982i | ||||
\(71\) | −3.24673 | − | 1.87450i | −0.385316 | − | 0.222462i | 0.294813 | − | 0.955555i | \(-0.404743\pi\) |
−0.680129 | + | 0.733093i | \(0.738076\pi\) | |||||||
\(72\) | 0.690407 | + | 4.62483i | 0.0813652 | + | 0.545042i | ||||
\(73\) | − | 1.03291i | − | 0.120893i | −0.998171 | − | 0.0604467i | \(-0.980747\pi\) | ||
0.998171 | − | 0.0604467i | \(-0.0192525\pi\) | |||||||
\(74\) | −3.74510 | + | 0.852941i | −0.435359 | + | 0.0991523i | ||||
\(75\) | −1.00502 | + | 0.580249i | −0.116050 | + | 0.0670014i | ||||
\(76\) | −15.5667 | + | 7.47851i | −1.78563 | + | 0.857843i | ||||
\(77\) | 7.80914i | 0.889934i | ||||||||
\(78\) | −1.55323 | − | 5.70991i | −0.175869 | − | 0.646520i | ||||
\(79\) | −9.18672 | −1.03359 | −0.516793 | − | 0.856110i | \(-0.672874\pi\) | ||||
−0.516793 | + | 0.856110i | \(0.672874\pi\) | |||||||
\(80\) | 1.45435 | + | 3.72624i | 0.162602 | + | 0.416606i | ||||
\(81\) | 0.653525 | + | 1.13194i | 0.0726139 | + | 0.125771i | ||||
\(82\) | 0.0598390 | + | 0.262741i | 0.00660811 | + | 0.0290149i | ||||
\(83\) | 1.79420 | 0.196939 | 0.0984693 | − | 0.995140i | \(-0.468605\pi\) | ||||
0.0984693 | + | 0.995140i | \(0.468605\pi\) | |||||||
\(84\) | −6.07038 | − | 4.14709i | −0.662333 | − | 0.452485i | ||||
\(85\) | 0.369228 | − | 0.639522i | 0.0400484 | − | 0.0693658i | ||||
\(86\) | −8.90422 | + | 8.25411i | −0.960166 | + | 0.890064i | ||||
\(87\) | −1.06704 | + | 1.84817i | −0.114399 | + | 0.198145i | ||||
\(88\) | −6.48758 | − | 2.55676i | −0.691579 | − | 0.272552i | ||||
\(89\) | 12.1943 | − | 7.04039i | 1.29260 | − | 0.746280i | 0.313482 | − | 0.949594i | \(-0.398505\pi\) |
0.979114 | + | 0.203314i | \(0.0651712\pi\) | |||||||
\(90\) | −1.58946 | − | 1.71465i | −0.167544 | − | 0.180740i | ||||
\(91\) | −10.1198 | − | 5.29332i | −1.06084 | − | 0.554890i | ||||
\(92\) | 0.873233 | − | 11.5072i | 0.0910409 | − | 1.19971i | ||||
\(93\) | 5.25638 | + | 9.10431i | 0.545061 | + | 0.944073i | ||||
\(94\) | −11.1330 | − | 3.43983i | −1.14829 | − | 0.354791i | ||||
\(95\) | 4.31749 | − | 7.47811i | 0.442965 | − | 0.767238i | ||||
\(96\) | 5.43275 | − | 3.68530i | 0.554478 | − | 0.376129i | ||||
\(97\) | −14.8416 | − | 8.56882i | −1.50694 | − | 0.870032i | −0.999967 | − | 0.00806860i | \(-0.997432\pi\) |
−0.506971 | − | 0.861963i | \(-0.669235\pi\) | |||||||
\(98\) | −4.18219 | + | 0.952488i | −0.422465 | + | 0.0962158i | ||||
\(99\) | 4.07592 | 0.409645 | ||||||||
\(100\) | −1.65142 | − | 1.12819i | −0.165142 | − | 0.112819i | ||||
\(101\) | 4.58812 | − | 2.64895i | 0.456535 | − | 0.263580i | −0.254051 | − | 0.967191i | \(-0.581763\pi\) |
0.710586 | + | 0.703610i | \(0.248430\pi\) | |||||||
\(102\) | −1.15794 | − | 0.357773i | −0.114653 | − | 0.0354248i | ||||
\(103\) | −7.06565 | −0.696199 | −0.348100 | − | 0.937458i | \(-0.613173\pi\) | ||||
−0.348100 | + | 0.937458i | \(0.613173\pi\) | |||||||
\(104\) | 7.71079 | − | 6.67411i | 0.756105 | − | 0.654450i | ||||
\(105\) | 3.67586 | 0.358728 | ||||||||
\(106\) | 5.65553 | + | 1.74741i | 0.549314 | + | 0.169724i | ||||
\(107\) | −10.2327 | + | 5.90788i | −0.989237 | + | 0.571136i | −0.905046 | − | 0.425313i | \(-0.860164\pi\) |
−0.0841908 | + | 0.996450i | \(0.526831\pi\) | |||||||
\(108\) | −6.09234 | + | 8.91778i | −0.586236 | + | 0.858114i | ||||
\(109\) | 3.12953 | 0.299754 | 0.149877 | − | 0.988705i | \(-0.452112\pi\) | ||||
0.149877 | + | 0.988705i | \(0.452112\pi\) | |||||||
\(110\) | 3.39956 | − | 0.774244i | 0.324135 | − | 0.0738213i | ||||
\(111\) | −2.72963 | − | 1.57595i | −0.259085 | − | 0.149583i | ||||
\(112\) | 1.91193 | − | 12.5249i | 0.180661 | − | 1.18349i | ||||
\(113\) | 9.72386 | − | 16.8422i | 0.914744 | − | 1.58438i | 0.107468 | − | 0.994209i | \(-0.465726\pi\) |
0.807276 | − | 0.590174i | \(-0.200941\pi\) | |||||||
\(114\) | −13.5401 | − | 4.18354i | −1.26814 | − | 0.391824i | ||||
\(115\) | 2.88507 | + | 4.99708i | 0.269034 | + | 0.465980i | ||||
\(116\) | −3.66733 | − | 0.278299i | −0.340503 | − | 0.0258394i | ||||
\(117\) | −2.76280 | + | 5.28193i | −0.255421 | + | 0.488314i | ||||
\(118\) | 11.0085 | + | 11.8756i | 1.01342 | + | 1.09323i | ||||
\(119\) | −2.02568 | + | 1.16953i | −0.185693 | + | 0.107210i | ||||
\(120\) | −1.20350 | + | 3.05379i | −0.109864 | + | 0.278772i | ||||
\(121\) | 2.46089 | − | 4.26239i | 0.223717 | − | 0.387490i | ||||
\(122\) | 4.82677 | − | 4.47437i | 0.436996 | − | 0.405090i | ||||
\(123\) | −0.110563 | + | 0.191500i | −0.00996910 | + | 0.0172670i | ||||
\(124\) | −10.2201 | + | 14.9599i | −0.917794 | + | 1.34344i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 1.64453 | + | 7.22081i | 0.146506 | + | 0.643281i | ||||
\(127\) | −1.96907 | − | 3.41052i | −0.174726 | − | 0.302635i | 0.765340 | − | 0.643626i | \(-0.222571\pi\) |
−0.940067 | + | 0.340991i | \(0.889237\pi\) | |||||||
\(128\) | 9.77928 | + | 5.68909i | 0.864374 | + | 0.502849i | ||||
\(129\) | −9.96325 | −0.877215 | ||||||||
\(130\) | −1.30101 | + | 4.93025i | −0.114106 | + | 0.432412i | ||||
\(131\) | − | 9.67553i | − | 0.845355i | −0.906280 | − | 0.422678i | \(-0.861090\pi\) | ||
0.906280 | − | 0.422678i | \(-0.138910\pi\) | |||||||
\(132\) | −2.47792 | − | 5.15785i | −0.215675 | − | 0.448933i | ||||
\(133\) | −23.6868 | + | 13.6756i | −2.05391 | + | 1.18582i | ||||
\(134\) | 4.59164 | − | 1.04574i | 0.396657 | − | 0.0903381i | ||||
\(135\) | − | 5.40008i | − | 0.464765i | ||||||
\(136\) | −0.308385 | − | 2.06578i | −0.0264438 | − | 0.177139i | ||||
\(137\) | 13.2517 | + | 7.65088i | 1.13217 | + | 0.653659i | 0.944480 | − | 0.328569i | \(-0.106566\pi\) |
0.187691 | + | 0.982228i | \(0.439900\pi\) | |||||||
\(138\) | 6.94496 | − | 6.43790i | 0.591194 | − | 0.548031i | ||||
\(139\) | 7.64524 | + | 4.41398i | 0.648461 | + | 0.374389i | 0.787866 | − | 0.615846i | \(-0.211186\pi\) |
−0.139406 | + | 0.990235i | \(0.544519\pi\) | |||||||
\(140\) | 2.74327 | + | 5.71020i | 0.231849 | + | 0.482600i | ||||
\(141\) | −4.78093 | − | 8.28082i | −0.402627 | − | 0.697371i | ||||
\(142\) | 3.88825 | − | 3.60437i | 0.326295 | − | 0.302472i | ||||
\(143\) | −4.76139 | − | 7.50640i | −0.398168 | − | 0.627717i | ||||
\(144\) | −6.53725 | − | 0.997917i | −0.544771 | − | 0.0831597i | ||||
\(145\) | 1.59257 | − | 0.919468i | 0.132255 | − | 0.0763577i | ||||
\(146\) | 1.39566 | + | 0.431223i | 0.115506 | + | 0.0356883i | ||||
\(147\) | −3.04821 | − | 1.75988i | −0.251412 | − | 0.145153i | ||||
\(148\) | 0.411030 | − | 5.41642i | 0.0337864 | − | 0.445227i | ||||
\(149\) | −6.58106 | + | 11.3987i | −0.539141 | + | 0.933820i | 0.459809 | + | 0.888018i | \(0.347918\pi\) |
−0.998951 | + | 0.0458023i | \(0.985416\pi\) | |||||||
\(150\) | −0.364447 | − | 1.60022i | −0.0297570 | − | 0.130657i | ||||
\(151\) | 17.2918i | 1.40719i | 0.710602 | + | 0.703594i | \(0.248422\pi\) | ||||
−0.710602 | + | 0.703594i | \(0.751578\pi\) | |||||||
\(152\) | −3.60603 | − | 24.1557i | −0.292488 | − | 1.95929i | ||||
\(153\) | 0.610424 | + | 1.05729i | 0.0493499 | + | 0.0854765i | ||||
\(154\) | −10.5516 | − | 3.26018i | −0.850273 | − | 0.262713i | ||||
\(155\) | − | 9.05883i | − | 0.727623i | ||||||
\(156\) | 8.36361 | + | 0.285081i | 0.669625 | + | 0.0228247i | ||||
\(157\) | − | 23.8530i | − | 1.90367i | −0.306603 | − | 0.951837i | \(-0.599192\pi\) | ||
0.306603 | − | 0.951837i | \(-0.400808\pi\) | |||||||
\(158\) | 3.83529 | − | 12.4130i | 0.305120 | − | 0.987524i | ||||
\(159\) | 2.42869 | + | 4.20661i | 0.192608 | + | 0.333606i | ||||
\(160\) | −5.64202 | + | 0.409467i | −0.446040 | + | 0.0323712i | ||||
\(161\) | − | 18.2768i | − | 1.44042i | ||||||
\(162\) | −1.80230 | + | 0.410471i | −0.141602 | + | 0.0322496i | ||||
\(163\) | 1.04268 | − | 1.80598i | 0.0816692 | − | 0.141455i | −0.822298 | − | 0.569057i | \(-0.807308\pi\) |
0.903967 | + | 0.427602i | \(0.140642\pi\) | |||||||
\(164\) | −0.379995 | − | 0.0288362i | −0.0296726 | − | 0.00225173i | ||||
\(165\) | 2.47778 | + | 1.43055i | 0.192895 | + | 0.111368i | ||||
\(166\) | −0.749045 | + | 2.42429i | −0.0581372 | + | 0.188162i | ||||
\(167\) | −13.6936 | + | 7.90603i | −1.05965 | + | 0.611787i | −0.925334 | − | 0.379152i | \(-0.876216\pi\) |
−0.134312 | + | 0.990939i | \(0.542882\pi\) | |||||||
\(168\) | 8.13777 | − | 6.47089i | 0.627843 | − | 0.499240i | ||||
\(169\) | 12.9549 | − | 1.08212i | 0.996530 | − | 0.0832398i | ||||
\(170\) | 0.709967 | + | 0.765885i | 0.0544520 | + | 0.0587407i | ||||
\(171\) | 7.13786 | + | 12.3631i | 0.545846 | + | 0.945433i | ||||
\(172\) | −7.43550 | − | 15.4772i | −0.566952 | − | 1.18013i | ||||
\(173\) | 7.84473 | + | 4.52916i | 0.596424 | + | 0.344345i | 0.767633 | − | 0.640889i | \(-0.221434\pi\) |
−0.171210 | + | 0.985235i | \(0.554768\pi\) | |||||||
\(174\) | −2.05175 | − | 2.21335i | −0.155543 | − | 0.167794i | ||||
\(175\) | −2.74313 | − | 1.58374i | −0.207361 | − | 0.119720i | ||||
\(176\) | 6.16312 | − | 7.69854i | 0.464562 | − | 0.580299i | ||||
\(177\) | 13.2880i | 0.998786i | ||||||||
\(178\) | 4.42198 | + | 19.4161i | 0.331441 | + | 1.45530i | ||||
\(179\) | −9.85005 | + | 5.68693i | −0.736227 | + | 0.425061i | −0.820696 | − | 0.571365i | \(-0.806414\pi\) |
0.0844689 | + | 0.996426i | \(0.473081\pi\) | |||||||
\(180\) | 2.98039 | − | 1.43183i | 0.222145 | − | 0.106722i | ||||
\(181\) | 17.5350i | 1.30337i | 0.758490 | + | 0.651685i | \(0.225937\pi\) | ||||
−0.758490 | + | 0.651685i | \(0.774063\pi\) | |||||||
\(182\) | 11.3771 | − | 11.4638i | 0.843326 | − | 0.849756i | ||||
\(183\) | 5.40085 | 0.399242 | ||||||||
\(184\) | 15.1838 | + | 5.98395i | 1.11937 | + | 0.441143i | ||||
\(185\) | 1.35800 | + | 2.35212i | 0.0998420 | + | 0.172931i | ||||
\(186\) | −14.4961 | + | 3.30146i | −1.06290 | + | 0.242075i | ||||
\(187\) | −1.82059 | −0.133135 | ||||||||
\(188\) | 9.29570 | − | 13.6068i | 0.677959 | − | 0.992375i | ||||
\(189\) | −8.55235 | + | 14.8131i | −0.622092 | + | 1.07749i | ||||
\(190\) | 8.30185 | + | 8.95571i | 0.602280 | + | 0.649716i | ||||
\(191\) | 0.345693 | − | 0.598758i | 0.0250135 | − | 0.0433246i | −0.853248 | − | 0.521506i | \(-0.825370\pi\) |
0.878261 | + | 0.478181i | \(0.158704\pi\) | |||||||
\(192\) | 2.71145 | + | 8.87921i | 0.195682 | + | 0.640802i | ||||
\(193\) | 4.73055 | − | 2.73118i | 0.340512 | − | 0.196595i | −0.319986 | − | 0.947422i | \(-0.603678\pi\) |
0.660499 | + | 0.750827i | \(0.270345\pi\) | |||||||
\(194\) | 17.7742 | − | 16.4765i | 1.27611 | − | 1.18294i | ||||
\(195\) | −3.53336 | + | 2.24125i | −0.253029 | + | 0.160499i | ||||
\(196\) | 0.459001 | − | 6.04857i | 0.0327858 | − | 0.432041i | ||||
\(197\) | 6.97854 | + | 12.0872i | 0.497200 | + | 0.861176i | 0.999995 | − | 0.00322997i | \(-0.00102813\pi\) |
−0.502795 | + | 0.864406i | \(0.667695\pi\) | |||||||
\(198\) | −1.70162 | + | 5.50733i | −0.120929 | + | 0.391389i | ||||
\(199\) | −12.4653 | + | 21.5906i | −0.883644 | + | 1.53052i | −0.0363850 | + | 0.999338i | \(0.511584\pi\) |
−0.847259 | + | 0.531179i | \(0.821749\pi\) | |||||||
\(200\) | 2.21384 | − | 1.76037i | 0.156542 | − | 0.124477i | ||||
\(201\) | 3.34664 | + | 1.93218i | 0.236054 | + | 0.136286i | ||||
\(202\) | 1.66377 | + | 7.30530i | 0.117063 | + | 0.513999i | ||||
\(203\) | −5.82481 | −0.408821 | ||||||||
\(204\) | 0.966836 | − | 1.41523i | 0.0676921 | − | 0.0990856i | ||||
\(205\) | 0.165016 | − | 0.0952718i | 0.0115252 | − | 0.00665407i | ||||
\(206\) | 2.94979 | − | 9.54702i | 0.205521 | − | 0.665172i | ||||
\(207\) | −9.53944 | −0.663037 | ||||||||
\(208\) | 5.79885 | + | 13.2050i | 0.402078 | + | 0.915605i | ||||
\(209\) | −21.2887 | −1.47257 | ||||||||
\(210\) | −1.53461 | + | 4.96678i | −0.105898 | + | 0.342741i | ||||
\(211\) | −7.96783 | + | 4.60023i | −0.548528 | + | 0.316693i | −0.748528 | − | 0.663103i | \(-0.769239\pi\) |
0.200000 | + | 0.979796i | \(0.435906\pi\) | |||||||
\(212\) | −4.72217 | + | 6.91217i | −0.324320 | + | 0.474730i | ||||
\(213\) | 4.35071 | 0.298106 | ||||||||
\(214\) | −3.71066 | − | 16.2928i | −0.253656 | − | 1.11375i | ||||
\(215\) | 7.43510 | + | 4.29266i | 0.507070 | + | 0.292757i | ||||
\(216\) | −9.50615 | − | 11.9549i | −0.646812 | − | 0.813429i | ||||
\(217\) | −14.3469 | + | 24.8495i | −0.973929 | + | 1.68689i | ||||
\(218\) | −1.30652 | + | 4.22858i | −0.0884888 | + | 0.286395i | ||||
\(219\) | 0.599347 | + | 1.03810i | 0.0405001 | + | 0.0701483i | ||||
\(220\) | −0.373106 | + | 4.91667i | −0.0251548 | + | 0.331482i | ||||
\(221\) | 1.23406 | − | 2.35928i | 0.0830121 | − | 0.158702i | ||||
\(222\) | 3.26898 | − | 3.03031i | 0.219400 | − | 0.203381i | ||||
\(223\) | 3.64597 | − | 2.10500i | 0.244152 | − | 0.140961i | −0.372932 | − | 0.927859i | \(-0.621647\pi\) |
0.617084 | + | 0.786898i | \(0.288314\pi\) | |||||||
\(224\) | 16.1252 | + | 7.81229i | 1.07741 | + | 0.521981i | ||||
\(225\) | −0.826622 | + | 1.43175i | −0.0551081 | + | 0.0954501i | ||||
\(226\) | 18.6975 | + | 20.1701i | 1.24374 | + | 1.34169i | ||||
\(227\) | 4.37813 | − | 7.58314i | 0.290587 | − | 0.503311i | −0.683362 | − | 0.730080i | \(-0.739483\pi\) |
0.973949 | + | 0.226769i | \(0.0728162\pi\) | |||||||
\(228\) | 11.3055 | − | 16.5486i | 0.748724 | − | 1.09596i | ||||
\(229\) | −22.6655 | −1.49778 | −0.748889 | − | 0.662696i | \(-0.769412\pi\) | ||||
−0.748889 | + | 0.662696i | \(0.769412\pi\) | |||||||
\(230\) | −7.95646 | + | 1.81207i | −0.524634 | + | 0.119485i | ||||
\(231\) | −4.53125 | − | 7.84835i | −0.298134 | − | 0.516383i | ||||
\(232\) | 1.90708 | − | 4.83906i | 0.125206 | − | 0.317700i | ||||
\(233\) | −16.3316 | −1.06992 | −0.534960 | − | 0.844877i | \(-0.679673\pi\) | ||||
−0.534960 | + | 0.844877i | \(0.679673\pi\) | |||||||
\(234\) | −5.98345 | − | 5.93818i | −0.391150 | − | 0.388191i | ||||
\(235\) | 8.23945i | 0.537482i | ||||||||
\(236\) | −20.6420 | + | 9.91673i | −1.34368 | + | 0.645524i | ||||
\(237\) | 9.23284 | − | 5.33059i | 0.599738 | − | 0.346259i | ||||
\(238\) | −0.734563 | − | 3.22533i | −0.0476147 | − | 0.209067i | ||||
\(239\) | − | 6.36009i | − | 0.411400i | −0.978615 | − | 0.205700i | \(-0.934053\pi\) | ||
0.978615 | − | 0.205700i | \(-0.0659471\pi\) | |||||||
\(240\) | −3.62380 | − | 2.90106i | −0.233915 | − | 0.187263i | ||||
\(241\) | 10.6580 | + | 6.15341i | 0.686543 | + | 0.396376i | 0.802316 | − | 0.596900i | \(-0.203601\pi\) |
−0.115772 | + | 0.993276i | \(0.536934\pi\) | |||||||
\(242\) | 4.73191 | + | 5.10460i | 0.304178 | + | 0.328136i | ||||
\(243\) | 12.7162 | + | 7.34171i | 0.815745 | + | 0.470971i | ||||
\(244\) | 4.03062 | + | 8.38985i | 0.258034 | + | 0.537105i | ||||
\(245\) | 1.51649 | + | 2.62664i | 0.0968850 | + | 0.167810i | ||||
\(246\) | −0.212595 | − | 0.229339i | −0.0135545 | − | 0.0146221i | ||||
\(247\) | 14.4303 | − | 27.5878i | 0.918175 | − | 1.75537i | ||||
\(248\) | −15.9469 | − | 20.0548i | −1.01263 | − | 1.27348i | ||||
\(249\) | −1.80320 | + | 1.04108i | −0.114273 | + | 0.0659758i | ||||
\(250\) | −0.417482 | + | 1.35119i | −0.0264039 | + | 0.0854566i | ||||
\(251\) | 6.06987 | + | 3.50444i | 0.383127 | + | 0.221198i | 0.679178 | − | 0.733974i | \(-0.262337\pi\) |
−0.296051 | + | 0.955172i | \(0.595670\pi\) | |||||||
\(252\) | −10.4432 | − | 0.792495i | −0.657862 | − | 0.0499225i | ||||
\(253\) | 7.11286 | − | 12.3198i | 0.447182 | − | 0.774541i | ||||
\(254\) | 5.43031 | − | 1.23674i | 0.340728 | − | 0.0776003i | ||||
\(255\) | 0.856977i | 0.0536660i | ||||||||
\(256\) | −11.7697 | + | 10.8385i | −0.735607 | + | 0.677409i | ||||
\(257\) | 9.24502 | + | 16.0128i | 0.576688 | + | 0.998854i | 0.995856 | + | 0.0909446i | \(0.0289886\pi\) |
−0.419168 | + | 0.907909i | \(0.637678\pi\) | |||||||
\(258\) | 4.15948 | − | 13.4622i | 0.258958 | − | 0.838121i | ||||
\(259\) | − | 8.60288i | − | 0.534557i | ||||||
\(260\) | −6.11855 | − | 3.81620i | −0.379456 | − | 0.236671i | ||||
\(261\) | 3.04021i | 0.188184i | ||||||||
\(262\) | 13.0735 | + | 4.03937i | 0.807681 | + | 0.249553i | ||||
\(263\) | 13.1616 | + | 22.7966i | 0.811581 | + | 1.40570i | 0.911757 | + | 0.410730i | \(0.134726\pi\) |
−0.100176 | + | 0.994970i | \(0.531941\pi\) | |||||||
\(264\) | 8.00371 | − | 1.19482i | 0.492595 | − | 0.0735358i | ||||
\(265\) | − | 4.18560i | − | 0.257119i | ||||||
\(266\) | −8.58946 | − | 37.7147i | −0.526653 | − | 2.31243i | ||||
\(267\) | −8.17036 | + | 14.1515i | −0.500018 | + | 0.866057i | ||||
\(268\) | −0.503939 | + | 6.64074i | −0.0307830 | + | 0.405648i | ||||
\(269\) | 4.45389 | + | 2.57145i | 0.271558 | + | 0.156784i | 0.629596 | − | 0.776923i | \(-0.283221\pi\) |
−0.358037 | + | 0.933707i | \(0.616554\pi\) | |||||||
\(270\) | 7.29652 | + | 2.25444i | 0.444052 | + | 0.137201i | ||||
\(271\) | 19.4600 | − | 11.2352i | 1.18211 | − | 0.682493i | 0.225610 | − | 0.974218i | \(-0.427563\pi\) |
0.956502 | + | 0.291725i | \(0.0942293\pi\) | |||||||
\(272\) | 2.92000 | + | 0.445740i | 0.177051 | + | 0.0270270i | ||||
\(273\) | 13.2420 | − | 0.552089i | 0.801443 | − | 0.0334139i | ||||
\(274\) | −15.8701 | + | 14.7114i | −0.958750 | + | 0.888751i | ||||
\(275\) | −1.23270 | − | 2.13510i | −0.0743348 | − | 0.128752i | ||||
\(276\) | 5.79942 | + | 12.0717i | 0.349084 | + | 0.726628i | ||||
\(277\) | 4.75235 | + | 2.74377i | 0.285541 | + | 0.164857i | 0.635929 | − | 0.771747i | \(-0.280617\pi\) |
−0.350388 | + | 0.936605i | \(0.613950\pi\) | |||||||
\(278\) | −9.15587 | + | 8.48739i | −0.549133 | + | 0.509040i | ||||
\(279\) | 12.9700 | + | 7.48823i | 0.776493 | + | 0.448308i | ||||
\(280\) | −8.86082 | + | 1.32277i | −0.529535 | + | 0.0790504i | ||||
\(281\) | 6.19365i | 0.369482i | 0.982787 | + | 0.184741i | \(0.0591447\pi\) | ||||
−0.982787 | + | 0.184741i | \(0.940855\pi\) | |||||||
\(282\) | 13.1849 | − | 3.00284i | 0.785149 | − | 0.178817i | ||||
\(283\) | −16.8496 | + | 9.72811i | −1.00160 | + | 0.578276i | −0.908722 | − | 0.417401i | \(-0.862941\pi\) |
−0.0928810 | + | 0.995677i | \(0.529608\pi\) | |||||||
\(284\) | 3.24690 | + | 6.75852i | 0.192668 | + | 0.401045i | ||||
\(285\) | 10.0209i | 0.593585i | ||||||||
\(286\) | 12.1304 | − | 3.29974i | 0.717283 | − | 0.195118i | ||||
\(287\) | −0.603545 | −0.0356261 | ||||||||
\(288\) | 4.07756 | − | 8.41644i | 0.240273 | − | 0.495943i | ||||
\(289\) | 8.22734 | + | 14.2502i | 0.483961 | + | 0.838245i | ||||
\(290\) | 0.577506 | + | 2.53572i | 0.0339123 | + | 0.148902i | ||||
\(291\) | 19.8882 | 1.16587 | ||||||||
\(292\) | −1.16533 | + | 1.70577i | −0.0681956 | + | 0.0998227i | ||||
\(293\) | 16.3593 | − | 28.3351i | 0.955721 | − | 1.65536i | 0.223011 | − | 0.974816i | \(-0.428412\pi\) |
0.732710 | − | 0.680541i | \(-0.238255\pi\) | |||||||
\(294\) | 3.65051 | − | 3.38398i | 0.212902 | − | 0.197358i | ||||
\(295\) | 5.72512 | − | 9.91620i | 0.333329 | − | 0.577343i | ||||
\(296\) | 7.14700 | + | 2.81664i | 0.415411 | + | 0.163714i | ||||
\(297\) | −11.5297 | + | 6.65669i | −0.669023 | + | 0.386260i | ||||
\(298\) | −12.6543 | − | 13.6510i | −0.733046 | − | 0.790782i | ||||
\(299\) | 11.1438 | + | 17.5683i | 0.644460 | + | 1.01600i | ||||
\(300\) | 2.31434 | + | 0.175626i | 0.133619 | + | 0.0101398i | ||||
\(301\) | −13.5969 | − | 23.5506i | −0.783715 | − | 1.35743i | ||||
\(302\) | −23.3645 | − | 7.21903i | −1.34447 | − | 0.415408i | ||||
\(303\) | −3.07410 | + | 5.32450i | −0.176603 | + | 0.305885i | ||||
\(304\) | 34.1444 | + | 5.21217i | 1.95831 | + | 0.298938i | ||||
\(305\) | −4.03040 | − | 2.32695i | −0.230780 | − | 0.133241i | ||||
\(306\) | −1.68343 | + | 0.383399i | −0.0962354 | + | 0.0219175i | ||||
\(307\) | −21.1733 | −1.20842 | −0.604212 | − | 0.796824i | \(-0.706512\pi\) | ||||
−0.604212 | + | 0.796824i | \(0.706512\pi\) | |||||||
\(308\) | 8.81023 | − | 12.8961i | 0.502009 | − | 0.734826i | ||||
\(309\) | 7.10113 | − | 4.09984i | 0.403969 | − | 0.233232i | ||||
\(310\) | 12.2402 | + | 3.78190i | 0.695195 | + | 0.214798i | ||||
\(311\) | 17.0756 | 0.968271 | 0.484136 | − | 0.874993i | \(-0.339134\pi\) | ||||
0.484136 | + | 0.874993i | \(0.339134\pi\) | |||||||
\(312\) | −3.87686 | + | 11.1818i | −0.219484 | + | 0.633045i | ||||
\(313\) | −25.0633 | −1.41666 | −0.708330 | − | 0.705881i | \(-0.750551\pi\) | ||||
−0.708330 | + | 0.705881i | \(0.750551\pi\) | |||||||
\(314\) | 32.2299 | + | 9.95820i | 1.81884 | + | 0.561974i | ||||
\(315\) | 4.53506 | − | 2.61832i | 0.255521 | − | 0.147525i | ||||
\(316\) | 15.1711 | + | 10.3644i | 0.853441 | + | 0.583043i | ||||
\(317\) | 18.2387 | 1.02439 | 0.512195 | − | 0.858869i | \(-0.328833\pi\) | ||||
0.512195 | + | 0.858869i | \(0.328833\pi\) | |||||||
\(318\) | −6.69786 | + | 1.52543i | −0.375597 | + | 0.0855418i | ||||
\(319\) | −3.92632 | − | 2.26686i | −0.219832 | − | 0.126920i | ||||
\(320\) | 1.80218 | − | 7.79437i | 0.100745 | − | 0.435718i | ||||
\(321\) | 6.85608 | − | 11.8751i | 0.382669 | − | 0.662802i | ||||
\(322\) | 24.6954 | + | 7.63026i | 1.37622 | + | 0.425218i | ||||
\(323\) | −3.18827 | − | 5.52225i | −0.177400 | − | 0.307266i | ||||
\(324\) | 0.197805 | − | 2.60661i | 0.0109892 | − | 0.144811i | ||||
\(325\) | 3.60242 | − | 0.150193i | 0.199826 | − | 0.00833121i | ||||
\(326\) | 2.00492 | + | 2.16282i | 0.111042 | + | 0.119788i | ||||
\(327\) | −3.14524 | + | 1.81590i | −0.173932 | + | 0.100420i | ||||
\(328\) | 0.197604 | − | 0.501405i | 0.0109109 | − | 0.0276855i | ||||
\(329\) | 13.0492 | − | 22.6018i | 0.719424 | − | 1.24608i | ||||
\(330\) | −2.96737 | + | 2.75072i | −0.163348 | + | 0.151422i | ||||
\(331\) | 13.4517 | − | 23.2990i | 0.739371 | − | 1.28063i | −0.213409 | − | 0.976963i | \(-0.568457\pi\) |
0.952779 | − | 0.303664i | \(-0.0982101\pi\) | |||||||
\(332\) | −2.96296 | − | 2.02420i | −0.162614 | − | 0.111092i | ||||
\(333\) | −4.49020 | −0.246062 | ||||||||
\(334\) | −4.96567 | − | 21.8033i | −0.271710 | − | 1.19302i | ||||
\(335\) | −1.66496 | − | 2.88379i | −0.0909664 | − | 0.157558i | ||||
\(336\) | 5.34601 | + | 13.6971i | 0.291649 | + | 0.747241i | ||||
\(337\) | 3.00972 | 0.163950 | 0.0819750 | − | 0.996634i | \(-0.473877\pi\) | ||||
0.0819750 | + | 0.996634i | \(0.473877\pi\) | |||||||
\(338\) | −3.94629 | + | 17.9562i | −0.214650 | + | 0.976691i | ||||
\(339\) | 22.5690i | 1.22578i | ||||||||
\(340\) | −1.33125 | + | 0.639556i | −0.0721974 | + | 0.0346848i | ||||
\(341\) | −19.3415 | + | 11.1668i | −1.04740 | + | 0.604718i | ||||
\(342\) | −19.6849 | + | 4.48320i | −1.06443 | + | 0.242424i | ||||
\(343\) | 12.5655i | 0.678472i | ||||||||
\(344\) | 24.0168 | − | 3.58529i | 1.29490 | − | 0.193306i | ||||
\(345\) | −5.79911 | − | 3.34812i | −0.312213 | − | 0.180256i | ||||
\(346\) | −9.39478 | + | 8.70886i | −0.505066 | + | 0.468191i | ||||
\(347\) | −2.24508 | − | 1.29620i | −0.120522 | − | 0.0695836i | 0.438527 | − | 0.898718i | \(-0.355500\pi\) |
−0.559049 | + | 0.829134i | \(0.688834\pi\) | |||||||
\(348\) | 3.84722 | − | 1.84827i | 0.206233 | − | 0.0990776i | ||||
\(349\) | −9.78948 | − | 16.9559i | −0.524019 | − | 0.907627i | −0.999609 | − | 0.0279603i | \(-0.991099\pi\) |
0.475590 | − | 0.879667i | \(-0.342235\pi\) | |||||||
\(350\) | 3.28514 | − | 3.04529i | 0.175598 | − | 0.162778i | ||||
\(351\) | −0.811054 | − | 19.4534i | −0.0432909 | − | 1.03834i | ||||
\(352\) | 7.82918 | + | 11.5415i | 0.417297 | + | 0.615166i | ||||
\(353\) | −4.69869 | + | 2.71279i | −0.250086 | + | 0.144387i | −0.619804 | − | 0.784757i | \(-0.712788\pi\) |
0.369718 | + | 0.929144i | \(0.379454\pi\) | |||||||
\(354\) | −17.9546 | − | 5.54750i | −0.954274 | − | 0.294846i | ||||
\(355\) | −3.24673 | − | 1.87450i | −0.172319 | − | 0.0994881i | ||||
\(356\) | −28.0808 | − | 2.13094i | −1.48828 | − | 0.112940i | ||||
\(357\) | 1.35723 | − | 2.35079i | 0.0718323 | − | 0.124417i | ||||
\(358\) | −3.57188 | − | 15.6835i | −0.188780 | − | 0.828896i | ||||
\(359\) | 24.1177i | 1.27288i | 0.771325 | + | 0.636442i | \(0.219594\pi\) | ||||
−0.771325 | + | 0.636442i | \(0.780406\pi\) | |||||||
\(360\) | 0.690407 | + | 4.62483i | 0.0363876 | + | 0.243750i | ||||
\(361\) | −27.7814 | − | 48.1188i | −1.46218 | − | 2.53257i | ||||
\(362\) | −23.6931 | − | 7.32057i | −1.24528 | − | 0.384761i | ||||
\(363\) | 5.71172i | 0.299787i | ||||||||
\(364\) | 10.7401 | + | 20.1585i | 0.562932 | + | 1.05659i | ||||
\(365\) | − | 1.03291i | − | 0.0540652i | ||||||
\(366\) | −2.25476 | + | 7.29757i | −0.117858 | + | 0.381450i | ||||
\(367\) | −1.11654 | − | 1.93390i | −0.0582827 | − | 0.100949i | 0.835412 | − | 0.549624i | \(-0.185229\pi\) |
−0.893695 | + | 0.448676i | \(0.851896\pi\) | |||||||
\(368\) | −14.4244 | + | 18.0180i | −0.751925 | + | 0.939252i | ||||
\(369\) | 0.315015i | 0.0163990i | ||||||||
\(370\) | −3.74510 | + | 0.852941i | −0.194698 | + | 0.0443423i | ||||
\(371\) | −6.62892 | + | 11.4816i | −0.344156 | + | 0.596096i | ||||
\(372\) | 1.59097 | − | 20.9652i | 0.0824877 | − | 1.08700i | ||||
\(373\) | −11.6773 | − | 6.74188i | −0.604627 | − | 0.349082i | 0.166233 | − | 0.986087i | \(-0.446840\pi\) |
−0.770860 | + | 0.637005i | \(0.780173\pi\) | |||||||
\(374\) | 0.760066 | − | 2.45996i | 0.0393021 | − | 0.127202i | ||||
\(375\) | −1.00502 | + | 0.580249i | −0.0518991 | + | 0.0299639i | ||||
\(376\) | 14.5045 | + | 18.2408i | 0.748012 | + | 0.940698i | ||||
\(377\) | 5.59900 | − | 3.55150i | 0.288363 | − | 0.182912i | ||||
\(378\) | −16.4448 | − | 17.7400i | −0.845830 | − | 0.912449i | ||||
\(379\) | 3.05975 | + | 5.29964i | 0.157169 | + | 0.272224i | 0.933847 | − | 0.357674i | \(-0.116430\pi\) |
−0.776678 | + | 0.629898i | \(0.783097\pi\) | |||||||
\(380\) | −15.5667 | + | 7.47851i | −0.798556 | + | 0.383639i | ||||
\(381\) | 3.95791 | + | 2.28510i | 0.202770 | + | 0.117069i | ||||
\(382\) | 0.664714 | + | 0.717068i | 0.0340097 | + | 0.0366884i | ||||
\(383\) | 18.3627 | + | 10.6017i | 0.938292 | + | 0.541723i | 0.889424 | − | 0.457082i | \(-0.151106\pi\) |
0.0488673 | + | 0.998805i | \(0.484439\pi\) | |||||||
\(384\) | −13.1295 | − | 0.0432384i | −0.670010 | − | 0.00220650i | ||||
\(385\) | 7.80914i | 0.397991i | ||||||||
\(386\) | 1.71542 | + | 7.53208i | 0.0873126 | + | 0.383373i | ||||
\(387\) | −12.2920 | + | 7.09681i | −0.624840 | + | 0.360751i | ||||
\(388\) | 14.8424 | + | 30.8949i | 0.753510 | + | 1.56845i | ||||
\(389\) | 8.17552i | 0.414515i | 0.978286 | + | 0.207258i | \(0.0664539\pi\) | ||||
−0.978286 | + | 0.207258i | \(0.933546\pi\) | |||||||
\(390\) | −1.55323 | − | 5.70991i | −0.0786510 | − | 0.289133i | ||||
\(391\) | 4.26099 | 0.215488 | ||||||||
\(392\) | 7.98113 | + | 3.14537i | 0.403108 | + | 0.158865i | ||||
\(393\) | 5.61422 | + | 9.72411i | 0.283200 | + | 0.490517i | ||||
\(394\) | −19.2455 | + | 4.38313i | −0.969573 | + | 0.220819i | ||||
\(395\) | −9.18672 | −0.462234 | ||||||||
\(396\) | −6.73104 | − | 4.59843i | −0.338247 | − | 0.231080i | ||||
\(397\) | 1.33438 | − | 2.31122i | 0.0669707 | − | 0.115997i | −0.830596 | − | 0.556876i | \(-0.812000\pi\) |
0.897566 | + | 0.440879i | \(0.145333\pi\) | |||||||
\(398\) | −23.9689 | − | 25.8567i | −1.20145 | − | 1.29608i | ||||
\(399\) | 15.8705 | − | 27.4885i | 0.794519 | − | 1.37615i | ||||
\(400\) | 1.45435 | + | 3.72624i | 0.0727177 | + | 0.186312i | ||||
\(401\) | 7.61683 | − | 4.39758i | 0.380367 | − | 0.219605i | −0.297611 | − | 0.954687i | \(-0.596190\pi\) |
0.677978 | + | 0.735082i | \(0.262857\pi\) | |||||||
\(402\) | −4.00790 | + | 3.71528i | −0.199896 | + | 0.185301i | ||||
\(403\) | −1.36057 | − | 32.6337i | −0.0677749 | − | 1.62560i | ||||
\(404\) | −10.5654 | − | 0.801767i | −0.525650 | − | 0.0398894i | ||||
\(405\) | 0.653525 | + | 1.13194i | 0.0324739 | + | 0.0562465i | ||||
\(406\) | 2.43176 | − | 7.87041i | 0.120686 | − | 0.390602i | ||||
\(407\) | 3.34801 | − | 5.79893i | 0.165955 | − | 0.287442i | ||||
\(408\) | 1.50860 | + | 1.89721i | 0.0746867 | + | 0.0939258i | ||||
\(409\) | 8.07460 | + | 4.66187i | 0.399263 | + | 0.230515i | 0.686166 | − | 0.727445i | \(-0.259292\pi\) |
−0.286903 | + | 0.957960i | \(0.592626\pi\) | |||||||
\(410\) | 0.0598390 | + | 0.262741i | 0.00295524 | + | 0.0129759i | ||||
\(411\) | −17.7577 | −0.875921 | ||||||||
\(412\) | 11.6683 | + | 7.97143i | 0.574858 | + | 0.392724i | ||||
\(413\) | −31.4094 | + | 18.1343i | −1.54556 | + | 0.892328i | ||||
\(414\) | 3.98255 | − | 12.8896i | 0.195732 | − | 0.633488i | ||||
\(415\) | 1.79420 | 0.0880736 | ||||||||
\(416\) | −20.2634 | + | 2.32246i | −0.993496 | + | 0.113868i | ||||
\(417\) | −10.2448 | −0.501692 | ||||||||
\(418\) | 8.88766 | − | 28.7650i | 0.434710 | − | 1.40694i | ||||
\(419\) | 30.8485 | − | 17.8104i | 1.50705 | − | 0.870094i | 0.507081 | − | 0.861898i | \(-0.330724\pi\) |
0.999966 | − | 0.00819632i | \(-0.00260900\pi\) | |||||||
\(420\) | −6.07038 | − | 4.14709i | −0.296204 | − | 0.202357i | ||||
\(421\) | −0.743378 | −0.0362300 | −0.0181150 | − | 0.999836i | \(-0.505767\pi\) | ||||
−0.0181150 | + | 0.999836i | \(0.505767\pi\) | |||||||
\(422\) | −2.88934 | − | 12.6865i | −0.140651 | − | 0.617571i | ||||
\(423\) | −11.7968 | − | 6.81091i | −0.573582 | − | 0.331158i | ||||
\(424\) | −7.36821 | − | 9.26625i | −0.357832 | − | 0.450009i | ||||
\(425\) | 0.369228 | − | 0.639522i | 0.0179102 | − | 0.0310214i | ||||
\(426\) | −1.81634 | + | 5.87862i | −0.0880022 | + | 0.284820i | ||||
\(427\) | 7.37060 | + | 12.7663i | 0.356688 | + | 0.617802i | ||||
\(428\) | 23.5638 | + | 1.78816i | 1.13900 | + | 0.0864339i | ||||
\(429\) | 9.14088 | + | 4.78129i | 0.441326 | + | 0.230843i | ||||
\(430\) | −8.90422 | + | 8.25411i | −0.429399 | + | 0.398049i | ||||
\(431\) | 11.7483 | − | 6.78289i | 0.565896 | − | 0.326720i | −0.189612 | − | 0.981859i | \(-0.560723\pi\) |
0.755509 | + | 0.655139i | \(0.227390\pi\) | |||||||
\(432\) | 20.1220 | − | 7.85363i | 0.968120 | − | 0.377858i | ||||
\(433\) | −12.9676 | + | 22.4605i | −0.623182 | + | 1.07938i | 0.365707 | + | 0.930730i | \(0.380827\pi\) |
−0.988889 | + | 0.148653i | \(0.952506\pi\) | |||||||
\(434\) | −27.5868 | − | 29.7595i | −1.32421 | − | 1.42850i | ||||
\(435\) | −1.06704 | + | 1.84817i | −0.0511607 | + | 0.0886129i | ||||
\(436\) | −5.16815 | − | 3.53071i | −0.247510 | − | 0.169090i | ||||
\(437\) | 49.8250 | 2.38345 | ||||||||
\(438\) | −1.65288 | + | 0.376442i | −0.0789779 | + | 0.0179871i | ||||
\(439\) | 1.85839 | + | 3.21883i | 0.0886962 | + | 0.153626i | 0.906960 | − | 0.421216i | \(-0.138397\pi\) |
−0.818264 | + | 0.574843i | \(0.805063\pi\) | |||||||
\(440\) | −6.48758 | − | 2.55676i | −0.309283 | − | 0.121889i | ||||
\(441\) | −5.01426 | −0.238774 | ||||||||
\(442\) | 2.67263 | + | 2.65241i | 0.127124 | + | 0.126162i | ||||
\(443\) | − | 1.77030i | − | 0.0841096i | −0.999115 | − | 0.0420548i | \(-0.986610\pi\) | ||
0.999115 | − | 0.0420548i | \(-0.0133904\pi\) | |||||||
\(444\) | 2.72978 | + | 5.68211i | 0.129550 | + | 0.269661i | ||||
\(445\) | 12.1943 | − | 7.04039i | 0.578066 | − | 0.333747i | ||||
\(446\) | 1.32212 | + | 5.80519i | 0.0626043 | + | 0.274884i | ||||
\(447\) | − | 15.2746i | − | 0.722464i | ||||||
\(448\) | −17.2879 | + | 18.5267i | −0.816775 | + | 0.875306i | ||||
\(449\) | −24.6942 | − | 14.2572i | −1.16539 | − | 0.672838i | −0.212800 | − | 0.977096i | \(-0.568258\pi\) |
−0.952590 | + | 0.304258i | \(0.901592\pi\) | |||||||
\(450\) | −1.58946 | − | 1.71465i | −0.0749281 | − | 0.0808295i | ||||
\(451\) | −0.406830 | − | 0.234884i | −0.0191569 | − | 0.0110602i | ||||
\(452\) | −35.0594 | + | 16.8431i | −1.64906 | + | 0.792234i | ||||
\(453\) | −10.0336 | − | 17.3786i | −0.471418 | − | 0.816519i | ||||
\(454\) | 8.41846 | + | 9.08151i | 0.395098 | + | 0.426216i | ||||
\(455\) | −10.1198 | − | 5.29332i | −0.474422 | − | 0.248154i | ||||
\(456\) | 17.6405 | + | 22.1846i | 0.826091 | + | 1.03889i | ||||
\(457\) | −27.5901 | + | 15.9291i | −1.29061 | + | 0.745133i | −0.978762 | − | 0.204999i | \(-0.934281\pi\) |
−0.311846 | + | 0.950133i | \(0.600947\pi\) | |||||||
\(458\) | 9.46244 | − | 30.6253i | 0.442151 | − | 1.43103i | ||||
\(459\) | −3.45347 | − | 1.99386i | −0.161194 | − | 0.0930654i | ||||
\(460\) | 0.873233 | − | 11.5072i | 0.0407147 | − | 0.536525i | ||||
\(461\) | −4.12121 | + | 7.13815i | −0.191944 | + | 0.332457i | −0.945894 | − | 0.324474i | \(-0.894813\pi\) |
0.753950 | + | 0.656931i | \(0.228146\pi\) | |||||||
\(462\) | 12.4963 | − | 2.84602i | 0.581381 | − | 0.132409i | ||||
\(463\) | − | 13.2846i | − | 0.617390i | −0.951161 | − | 0.308695i | \(-0.900108\pi\) | ||
0.951161 | − | 0.308695i | \(-0.0998922\pi\) | |||||||
\(464\) | 5.74231 | + | 4.59705i | 0.266580 | + | 0.213413i | ||||
\(465\) | 5.25638 | + | 9.10431i | 0.243759 | + | 0.422202i | ||||
\(466\) | 6.81817 | − | 22.0671i | 0.315846 | − | 1.02224i | ||||
\(467\) | 3.38808i | 0.156782i | 0.996923 | + | 0.0783909i | \(0.0249782\pi\) | ||||
−0.996923 | + | 0.0783909i | \(0.975022\pi\) | |||||||
\(468\) | 10.5216 | − | 5.60568i | 0.486360 | − | 0.259123i | ||||
\(469\) | 10.5475i | 0.487037i | ||||||||
\(470\) | −11.1330 | − | 3.43983i | −0.513529 | − | 0.158667i | ||||
\(471\) | 13.8407 | + | 23.9727i | 0.637744 | + | 1.10461i | ||||
\(472\) | −4.78171 | − | 32.0312i | −0.220096 | − | 1.47436i | ||||
\(473\) | − | 21.1663i | − | 0.973227i | ||||||
\(474\) | 3.34807 | + | 14.7007i | 0.153782 | + | 0.675227i | ||||
\(475\) | 4.31749 | − | 7.47811i | 0.198100 | − | 0.343119i | ||||
\(476\) | 4.66469 | + | 0.353984i | 0.213806 | + | 0.0162248i | ||||
\(477\) | 5.99274 | + | 3.45991i | 0.274389 | + | 0.158418i | ||||
\(478\) | 8.59368 | + | 2.65523i | 0.393066 | + | 0.121447i | ||||
\(479\) | −29.5093 | + | 17.0372i | −1.34832 | + | 0.778450i | −0.988011 | − | 0.154385i | \(-0.950660\pi\) |
−0.360304 | + | 0.932835i | \(0.617327\pi\) | |||||||
\(480\) | 5.43275 | − | 3.68530i | 0.247970 | − | 0.168210i | ||||
\(481\) | 5.24535 | + | 8.26937i | 0.239168 | + | 0.377051i | ||||
\(482\) | −12.7639 | + | 11.8320i | −0.581382 | + | 0.538935i | ||||
\(483\) | 10.6051 | + | 18.3686i | 0.482550 | + | 0.835800i | ||||
\(484\) | −8.87275 | + | 4.26261i | −0.403307 | + | 0.193755i | ||||
\(485\) | −14.8416 | − | 8.56882i | −0.673924 | − | 0.389090i | ||||
\(486\) | −15.2288 | + | 14.1170i | −0.690793 | + | 0.640358i | ||||
\(487\) | 8.92075 | + | 5.15040i | 0.404238 | + | 0.233387i | 0.688311 | − | 0.725416i | \(-0.258352\pi\) |
−0.284073 | + | 0.958803i | \(0.591686\pi\) | |||||||
\(488\) | −13.0190 | + | 1.94351i | −0.589341 | + | 0.0879784i | ||||
\(489\) | 2.42006i | 0.109439i | ||||||||
\(490\) | −4.18219 | + | 0.952488i | −0.188932 | + | 0.0430290i | ||||
\(491\) | −8.22556 | + | 4.74903i | −0.371214 | + | 0.214321i | −0.673989 | − | 0.738742i | \(-0.735420\pi\) |
0.302774 | + | 0.953062i | \(0.402087\pi\) | |||||||
\(492\) | 0.398635 | − | 0.191510i | 0.0179718 | − | 0.00863396i | ||||
\(493\) | − | 1.35797i | − | 0.0611600i | ||||||
\(494\) | 31.2519 | + | 31.0154i | 1.40609 | + | 1.39545i | ||||
\(495\) | 4.07592 | 0.183199 | ||||||||
\(496\) | 33.7554 | − | 13.1747i | 1.51566 | − | 0.591564i | ||||
\(497\) | 5.93746 | + | 10.2840i | 0.266331 | + | 0.461299i | ||||
\(498\) | −0.653889 | − | 2.87110i | −0.0293015 | − | 0.128657i | ||||
\(499\) | −23.3056 | −1.04330 | −0.521652 | − | 0.853158i | \(-0.674684\pi\) | ||||
−0.521652 | + | 0.853158i | \(0.674684\pi\) | |||||||
\(500\) | −1.65142 | − | 1.12819i | −0.0738536 | − | 0.0504544i | ||||
\(501\) | 9.17493 | − | 15.8914i | 0.409906 | − | 0.709978i | ||||
\(502\) | −7.26922 | + | 6.73849i | −0.324441 | + | 0.300754i | ||||
\(503\) | −7.62610 | + | 13.2088i | −0.340031 | + | 0.588951i | −0.984438 | − | 0.175732i | \(-0.943771\pi\) |
0.644407 | + | 0.764682i | \(0.277104\pi\) | |||||||
\(504\) | 5.43068 | − | 13.7799i | 0.241902 | − | 0.613806i | ||||
\(505\) | 4.58812 | − | 2.64895i | 0.204169 | − | 0.117877i | ||||
\(506\) | 13.6769 | + | 14.7541i | 0.608013 | + | 0.655901i | ||||
\(507\) | −12.3920 | + | 8.60461i | −0.550349 | + | 0.382144i | ||||
\(508\) | −0.595984 | + | 7.85368i | −0.0264425 | + | 0.348451i | ||||
\(509\) | −9.44807 | − | 16.3645i | −0.418778 | − | 0.725346i | 0.577038 | − | 0.816717i | \(-0.304208\pi\) |
−0.995817 | + | 0.0913714i | \(0.970875\pi\) | |||||||
\(510\) | −1.15794 | − | 0.357773i | −0.0512743 | − | 0.0158424i | ||||
\(511\) | −1.63587 | + | 2.83341i | −0.0723667 | + | 0.125343i | ||||
\(512\) | −9.73126 | − | 20.4280i | −0.430065 | − | 0.902798i | ||||
\(513\) | −40.3824 | − | 23.3148i | −1.78293 | − | 1.02937i | ||||
\(514\) | −25.4960 | + | 5.80667i | −1.12458 | + | 0.256121i | ||||
\(515\) | −7.06565 | −0.311350 | ||||||||
\(516\) | 16.4535 | + | 11.2405i | 0.724324 | + | 0.494835i | ||||
\(517\) | 17.5921 | − | 10.1568i | 0.773698 | − | 0.446695i | ||||
\(518\) | 11.6241 | + | 3.59155i | 0.510734 | + | 0.157804i | ||||
\(519\) | −10.5122 | −0.461432 | ||||||||
\(520\) | 7.71079 | − | 6.67411i | 0.338141 | − | 0.292679i | ||||
\(521\) | 4.53269 | 0.198581 | 0.0992904 | − | 0.995058i | \(-0.468343\pi\) | ||||
0.0992904 | + | 0.995058i | \(0.468343\pi\) | |||||||
\(522\) | −4.10790 | − | 1.26923i | −0.179798 | − | 0.0555529i | ||||
\(523\) | 23.1340 | − | 13.3564i | 1.01158 | − | 0.584036i | 0.0999260 | − | 0.994995i | \(-0.468139\pi\) |
0.911654 | + | 0.410959i | \(0.134806\pi\) | |||||||
\(524\) | −10.9159 | + | 15.9783i | −0.476863 | + | 0.698017i | ||||
\(525\) | 3.67586 | 0.160428 | ||||||||
\(526\) | −36.2973 | + | 8.26665i | −1.58264 | + | 0.360443i | ||||
\(527\) | −5.79332 | − | 3.34477i | −0.252361 | − | 0.145701i | ||||
\(528\) | −1.72699 | + | 11.3133i | −0.0751576 | + | 0.492350i | ||||
\(529\) | −5.14723 | + | 8.91527i | −0.223793 | + | 0.387620i | ||||
\(530\) | 5.65553 | + | 1.74741i | 0.245661 | + | 0.0759028i | ||||
\(531\) | 9.46502 | + | 16.3939i | 0.410747 | + | 0.711435i | ||||
\(532\) | 54.5455 | + | 4.13924i | 2.36485 | + | 0.179459i | ||||
\(533\) | 0.580147 | − | 0.367993i | 0.0251289 | − | 0.0159396i | ||||
\(534\) | −15.7103 | − | 16.9477i | −0.679852 | − | 0.733398i | ||||
\(535\) | −10.2327 | + | 5.90788i | −0.442400 | + | 0.255420i | ||||
\(536\) | −8.76250 | − | 3.45331i | −0.378483 | − | 0.149160i | ||||
\(537\) | 6.59967 | − | 11.4310i | 0.284797 | − | 0.493282i | ||||
\(538\) | −5.33394 | + | 4.94450i | −0.229962 | + | 0.213173i | ||||
\(539\) | 3.73876 | − | 6.47573i | 0.161040 | − | 0.278929i | ||||
\(540\) | −6.09234 | + | 8.91778i | −0.262173 | + | 0.383760i | ||||
\(541\) | 10.6452 | 0.457674 | 0.228837 | − | 0.973465i | \(-0.426508\pi\) | ||||
0.228837 | + | 0.973465i | \(0.426508\pi\) | |||||||
\(542\) | 7.05671 | + | 30.9847i | 0.303112 | + | 1.33090i | ||||
\(543\) | −10.1747 | − | 17.6231i | −0.436638 | − | 0.756279i | ||||
\(544\) | −1.82133 | + | 3.75938i | −0.0780887 | + | 0.161182i | ||||
\(545\) | 3.12953 | 0.134054 | ||||||||
\(546\) | −4.78233 | + | 18.1229i | −0.204665 | + | 0.775590i | ||||
\(547\) | − | 18.7968i | − | 0.803695i | −0.915707 | − | 0.401847i | \(-0.868368\pi\) | ||
0.915707 | − | 0.401847i | \(-0.131632\pi\) | |||||||
\(548\) | −13.2524 | − | 27.5853i | −0.566115 | − | 1.17839i | ||||
\(549\) | 6.66324 | − | 3.84702i | 0.284380 | − | 0.164187i | ||||
\(550\) | 3.39956 | − | 0.774244i | 0.144958 | − | 0.0330139i | ||||
\(551\) | − | 15.8792i | − | 0.676475i | ||||||
\(552\) | −18.7322 | + | 2.79640i | −0.797296 | + | 0.119022i | ||||
\(553\) | 25.2003 | + | 14.5494i | 1.07163 | + | 0.618704i | ||||
\(554\) | −5.69137 | + | 5.27584i | −0.241803 | + | 0.224149i | ||||
\(555\) | −2.72963 | − | 1.57595i | −0.115866 | − | 0.0668955i | ||||
\(556\) | −7.64565 | − | 15.9146i | −0.324248 | − | 0.674931i | ||||
\(557\) | −10.6352 | − | 18.4206i | −0.450626 | − | 0.780508i | 0.547799 | − | 0.836610i | \(-0.315466\pi\) |
−0.998425 | + | 0.0561026i | \(0.982133\pi\) | |||||||
\(558\) | −15.5327 | + | 14.3987i | −0.657554 | + | 0.609545i | ||||
\(559\) | 27.4291 | + | 14.3473i | 1.16013 | + | 0.606825i | ||||
\(560\) | 1.91193 | − | 12.5249i | 0.0807939 | − | 0.529272i | ||||
\(561\) | 1.82973 | − | 1.05640i | 0.0772514 | − | 0.0446011i | ||||
\(562\) | −8.36879 | − | 2.58574i | −0.353016 | − | 0.109073i | ||||
\(563\) | 20.4572 | + | 11.8110i | 0.862168 | + | 0.497773i | 0.864738 | − | 0.502224i | \(-0.167485\pi\) |
−0.00256999 | + | 0.999997i | \(0.500818\pi\) | |||||||
\(564\) | −1.44706 | + | 19.0689i | −0.0609322 | + | 0.802945i | ||||
\(565\) | 9.72386 | − | 16.8422i | 0.409086 | − | 0.708557i | ||||
\(566\) | −6.11010 | − | 26.8283i | −0.256826 | − | 1.12768i | ||||
\(567\) | − | 4.14007i | − | 0.173866i | ||||||
\(568\) | −10.4876 | + | 1.56561i | −0.440048 | + | 0.0656915i | ||||
\(569\) | −15.0749 | − | 26.1106i | −0.631974 | − | 1.09461i | −0.987148 | − | 0.159811i | \(-0.948911\pi\) |
0.355173 | − | 0.934800i | \(-0.384422\pi\) | |||||||
\(570\) | −13.5401 | − | 4.18354i | −0.567131 | − | 0.175229i | ||||
\(571\) | 6.49912i | 0.271980i | 0.990710 | + | 0.135990i | \(0.0434215\pi\) | ||||
−0.990710 | + | 0.135990i | \(0.956579\pi\) | |||||||
\(572\) | −0.605636 | + | 17.7680i | −0.0253229 | + | 0.742916i | ||||
\(573\) | 0.802353i | 0.0335188i | ||||||||
\(574\) | 0.251969 | − | 0.815502i | 0.0105170 | − | 0.0340384i | ||||
\(575\) | 2.88507 | + | 4.99708i | 0.120316 | + | 0.208393i | ||||
\(576\) | 9.66988 | + | 9.02327i | 0.402912 | + | 0.375969i | ||||
\(577\) | − | 4.08088i | − | 0.169889i | −0.996386 | − | 0.0849446i | \(-0.972929\pi\) | ||
0.996386 | − | 0.0849446i | \(-0.0270713\pi\) | |||||||
\(578\) | −22.6894 | + | 5.16749i | −0.943756 | + | 0.214939i | ||||
\(579\) | −3.16953 | + | 5.48979i | −0.131721 | + | 0.228148i | ||||
\(580\) | −3.66733 | − | 0.278299i | −0.152278 | − | 0.0115557i | ||||
\(581\) | −4.92170 | − | 2.84155i | −0.204187 | − | 0.117887i | ||||
\(582\) | −8.30297 | + | 26.8727i | −0.344169 | + | 1.11391i | ||||
\(583\) | −8.93668 | + | 5.15960i | −0.370120 | + | 0.213689i | ||||
\(584\) | −1.81831 | − | 2.28671i | −0.0752423 | − | 0.0946245i | ||||
\(585\) | −2.76280 | + | 5.28193i | −0.114228 | + | 0.218381i | ||||
\(586\) | 31.4564 | + | 33.9339i | 1.29945 | + | 1.40180i | ||||
\(587\) | −7.83029 | − | 13.5625i | −0.323191 | − | 0.559783i | 0.657954 | − | 0.753058i | \(-0.271422\pi\) |
−0.981145 | + | 0.193275i | \(0.938089\pi\) | |||||||
\(588\) | 3.04837 | + | 6.34527i | 0.125713 | + | 0.261675i | ||||
\(589\) | −67.7429 | − | 39.1114i | −2.79130 | − | 1.61156i | ||||
\(590\) | 11.0085 | + | 11.8756i | 0.453213 | + | 0.488909i | ||||
\(591\) | −14.0271 | − | 8.09858i | −0.577000 | − | 0.333131i | ||||
\(592\) | −6.78955 | + | 8.48104i | −0.279049 | + | 0.348569i | ||||
\(593\) | 35.5283i | 1.45897i | 0.683996 | + | 0.729486i | \(0.260241\pi\) | ||||
−0.683996 | + | 0.729486i | \(0.739759\pi\) | |||||||
\(594\) | −4.18098 | − | 18.3579i | −0.171548 | − | 0.753233i | ||||
\(595\) | −2.02568 | + | 1.16953i | −0.0830447 | + | 0.0479459i | ||||
\(596\) | 23.7280 | − | 11.3993i | 0.971939 | − | 0.466935i | ||||
\(597\) | − | 28.9320i | − | 1.18411i | ||||||
\(598\) | −28.3904 | + | 7.72286i | −1.16097 | + | 0.315811i | ||||
\(599\) | 15.0781 | 0.616075 | 0.308037 | − | 0.951374i | \(-0.400328\pi\) | ||||
0.308037 | + | 0.951374i | \(0.400328\pi\) | |||||||
\(600\) | −1.20350 | + | 3.05379i | −0.0491327 | + | 0.124670i | ||||
\(601\) | −9.78938 | − | 16.9557i | −0.399317 | − | 0.691637i | 0.594325 | − | 0.804225i | \(-0.297419\pi\) |
−0.993642 | + | 0.112588i | \(0.964086\pi\) | |||||||
\(602\) | 37.4978 | − | 8.54006i | 1.52830 | − | 0.348067i | ||||
\(603\) | 5.50517 | 0.224188 | ||||||||
\(604\) | 19.5085 | − | 28.5560i | 0.793791 | − | 1.16193i | ||||
\(605\) | 2.46089 | − | 4.26239i | 0.100049 | − | 0.173291i | ||||
\(606\) | −5.91102 | − | 6.37658i | −0.240119 | − | 0.259031i | ||||
\(607\) | 12.4880 | − | 21.6299i | 0.506874 | − | 0.877932i | −0.493094 | − | 0.869976i | \(-0.664134\pi\) |
0.999968 | − | 0.00795583i | \(-0.00253244\pi\) | |||||||
\(608\) | −21.2973 | + | 43.9595i | −0.863719 | + | 1.78279i | ||||
\(609\) | 5.85405 | − | 3.37984i | 0.237218 | − | 0.136958i | ||||
\(610\) | 4.82677 | − | 4.47437i | 0.195430 | − | 0.181162i | ||||
\(611\) | 1.23751 | + | 29.6820i | 0.0500642 | + | 1.20080i | ||||
\(612\) | 0.184759 | − | 2.43470i | 0.00746844 | − | 0.0984167i | ||||
\(613\) | −5.34922 | − | 9.26513i | −0.216053 | − | 0.374215i | 0.737545 | − | 0.675298i | \(-0.235985\pi\) |
−0.953598 | + | 0.301083i | \(0.902652\pi\) | |||||||
\(614\) | 8.83948 | − | 28.6091i | 0.356733 | − | 1.15457i | ||||
\(615\) | −0.110563 | + | 0.191500i | −0.00445832 | + | 0.00772204i | ||||
\(616\) | 13.7470 | + | 17.2882i | 0.553882 | + | 0.696561i | ||||
\(617\) | 17.2769 | + | 9.97481i | 0.695541 | + | 0.401571i | 0.805685 | − | 0.592345i | \(-0.201798\pi\) |
−0.110143 | + | 0.993916i | \(0.535131\pi\) | |||||||
\(618\) | 2.57505 | + | 11.3066i | 0.103584 | + | 0.454817i | ||||
\(619\) | 14.3270 | 0.575850 | 0.287925 | − | 0.957653i | \(-0.407035\pi\) | ||||
0.287925 | + | 0.957653i | \(0.407035\pi\) | |||||||
\(620\) | −10.2201 | + | 14.9599i | −0.410450 | + | 0.600804i | ||||
\(621\) | 26.9847 | − | 15.5796i | 1.08286 | − | 0.625188i | ||||
\(622\) | −7.12878 | + | 23.0724i | −0.285838 | + | 0.925119i | ||||
\(623\) | −44.6007 | −1.78689 | ||||||||
\(624\) | −13.4902 | − | 9.90657i | −0.540040 | − | 0.396580i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 10.4635 | − | 33.8652i | 0.418205 | − | 1.35353i | ||||
\(627\) | 21.3956 | − | 12.3528i | 0.854458 | − | 0.493321i | ||||
\(628\) | −26.9108 | + | 39.3912i | −1.07386 | + | 1.57188i | ||||
\(629\) | 2.00564 | 0.0799702 | ||||||||
\(630\) | 1.64453 | + | 7.22081i | 0.0655196 | + | 0.287684i | ||||
\(631\) | 21.3141 | + | 12.3057i | 0.848500 | + | 0.489882i | 0.860145 | − | 0.510050i | \(-0.170373\pi\) |
−0.0116443 | + | 0.999932i | \(0.503707\pi\) | |||||||
\(632\) | −20.3379 | + | 16.1721i | −0.808999 | + | 0.643290i | ||||
\(633\) | 5.33855 | − | 9.24665i | 0.212188 | − | 0.367521i | ||||
\(634\) | −7.61435 | + | 24.6440i | −0.302405 | + | 0.978737i | ||||
\(635\) | −1.96907 | − | 3.41052i | −0.0781400 | − | 0.135342i | ||||
\(636\) | 0.735100 | − | 9.68691i | 0.0291486 | − | 0.384111i | ||||
\(637\) | 5.85754 | + | 9.23449i | 0.232084 | + | 0.365884i | ||||
\(638\) | 4.70212 | − | 4.35882i | 0.186159 | − | 0.172567i | ||||
\(639\) | 5.36764 | − | 3.09901i | 0.212340 | − | 0.122595i | ||||
\(640\) | 9.77928 | + | 5.68909i | 0.386560 | + | 0.224881i | ||||
\(641\) | −10.8642 | + | 18.8174i | −0.429112 | + | 0.743243i | −0.996795 | − | 0.0800040i | \(-0.974507\pi\) |
0.567683 | + | 0.823247i | \(0.307840\pi\) | |||||||
\(642\) | 13.1832 | + | 14.2215i | 0.520298 | + | 0.561278i | ||||
\(643\) | −8.88679 | + | 15.3924i | −0.350461 | + | 0.607016i | −0.986330 | − | 0.164781i | \(-0.947308\pi\) |
0.635869 | + | 0.771797i | \(0.280642\pi\) | |||||||
\(644\) | −20.6198 | + | 30.1827i | −0.812535 | + | 1.18936i | ||||
\(645\) | −9.96325 | −0.392302 | ||||||||
\(646\) | 8.79265 | − | 2.00251i | 0.345942 | − | 0.0787878i | ||||
\(647\) | 19.8313 | + | 34.3488i | 0.779649 | + | 1.35039i | 0.932144 | + | 0.362088i | \(0.117936\pi\) |
−0.152495 | + | 0.988304i | \(0.548731\pi\) | |||||||
\(648\) | 3.43943 | + | 1.35548i | 0.135114 | + | 0.0532484i | ||||
\(649\) | −28.2295 | −1.10810 | ||||||||
\(650\) | −1.30101 | + | 4.93025i | −0.0510298 | + | 0.193380i | ||||
\(651\) | − | 33.2990i | − | 1.30509i | ||||||
\(652\) | −3.75940 | + | 1.80608i | −0.147229 | + | 0.0707314i | ||||
\(653\) | −11.7391 | + | 6.77755i | −0.459385 | + | 0.265226i | −0.711785 | − | 0.702397i | \(-0.752113\pi\) |
0.252401 | + | 0.967623i | \(0.418780\pi\) | |||||||
\(654\) | −1.14055 | − | 5.00792i | −0.0445989 | − | 0.195825i | ||||
\(655\) | − | 9.67553i | − | 0.378054i | ||||||
\(656\) | 0.594997 | + | 0.476328i | 0.0232307 | + | 0.0185975i | ||||
\(657\) | 1.47888 | + | 0.853829i | 0.0576964 | + | 0.0333111i | ||||
\(658\) | 25.0915 | + | 27.0678i | 0.978169 | + | 1.05521i | ||||
\(659\) | 1.49368 | + | 0.862377i | 0.0581856 | + | 0.0335934i | 0.528811 | − | 0.848740i | \(-0.322638\pi\) |
−0.470625 | + | 0.882333i | \(0.655972\pi\) | |||||||
\(660\) | −2.47792 | − | 5.15785i | −0.0964527 | − | 0.200769i | ||||
\(661\) | 12.9412 | + | 22.4148i | 0.503355 | + | 0.871836i | 0.999992 | + | 0.00387783i | \(0.00123436\pi\) |
−0.496638 | + | 0.867958i | \(0.665432\pi\) | |||||||
\(662\) | 25.8655 | + | 27.9026i | 1.00529 | + | 1.08447i | ||||
\(663\) | 0.128712 | + | 3.08719i | 0.00499875 | + | 0.119897i | ||||
\(664\) | 3.97206 | − | 3.15845i | 0.154146 | − | 0.122572i | ||||
\(665\) | −23.6868 | + | 13.6756i | −0.918535 | + | 0.530317i | ||||
\(666\) | 1.87458 | − | 6.06711i | 0.0726386 | − | 0.235096i | ||||
\(667\) | 9.18932 | + | 5.30546i | 0.355812 | + | 0.205428i | ||||
\(668\) | 31.5335 | + | 2.39294i | 1.22007 | + | 0.0925858i | ||||
\(669\) | −2.44285 | + | 4.23114i | −0.0944460 | + | 0.163585i | ||||
\(670\) | 4.59164 | − | 1.04574i | 0.177390 | − | 0.0404004i | ||||
\(671\) | 11.4738i | 0.442940i | ||||||||
\(672\) | −20.7393 | + | 1.50514i | −0.800035 | + | 0.0580622i | ||||
\(673\) | −6.92986 | − | 12.0029i | −0.267127 | − | 0.462677i | 0.700992 | − | 0.713169i | \(-0.252741\pi\) |
−0.968119 | + | 0.250492i | \(0.919408\pi\) | |||||||
\(674\) | −1.25651 | + | 4.06670i | −0.0483988 | + | 0.156643i | ||||
\(675\) | − | 5.40008i | − | 0.207849i | ||||||
\(676\) | −22.6148 | − | 12.8286i | −0.869798 | − | 0.493408i | ||||
\(677\) | 32.0465i | 1.23165i | 0.787884 | + | 0.615823i | \(0.211176\pi\) | ||||
−0.787884 | + | 0.615823i | \(0.788824\pi\) | |||||||
\(678\) | −30.4950 | − | 9.42218i | −1.17115 | − | 0.361857i | ||||
\(679\) | 27.1416 | + | 47.0107i | 1.04160 | + | 1.80410i | ||||
\(680\) | −0.308385 | − | 2.06578i | −0.0118260 | − | 0.0792189i | ||||
\(681\) | 10.1616i | 0.389394i | ||||||||
\(682\) | −7.01374 | − | 30.7960i | −0.268570 | − | 1.17924i | ||||
\(683\) | 4.02679 | − | 6.97461i | 0.154081 | − | 0.266876i | −0.778643 | − | 0.627467i | \(-0.784092\pi\) |
0.932724 | + | 0.360591i | \(0.117425\pi\) | |||||||
\(684\) | 2.16044 | − | 28.4696i | 0.0826065 | − | 1.08856i | ||||
\(685\) | 13.2517 | + | 7.65088i | 0.506322 | + | 0.292325i | ||||
\(686\) | −16.9783 | − | 5.24587i | −0.648236 | − | 0.200288i | ||||
\(687\) | 22.7793 | − | 13.1516i | 0.869084 | − | 0.501766i | ||||
\(688\) | −5.18220 | + | 33.9480i | −0.197569 | + | 1.29426i | ||||
\(689\) | −0.628647 | − | 15.0783i | −0.0239496 | − | 0.574437i | ||||
\(690\) | 6.94496 | − | 6.43790i | 0.264390 | − | 0.245087i | ||||
\(691\) | 9.06234 | + | 15.6964i | 0.344748 | + | 0.597121i | 0.985308 | − | 0.170787i | \(-0.0546311\pi\) |
−0.640560 | + | 0.767908i | \(0.721298\pi\) | |||||||
\(692\) | −7.84515 | − | 16.3299i | −0.298228 | − | 0.620770i | ||||
\(693\) | −11.1807 | − | 6.45521i | −0.424722 | − | 0.245213i | ||||
\(694\) | 2.68869 | − | 2.49239i | 0.102061 | − | 0.0946097i | ||||
\(695\) | 7.64524 | + | 4.41398i | 0.290000 | + | 0.167432i | ||||
\(696\) | 0.891208 | + | 5.96994i | 0.0337812 | + | 0.226290i | ||||
\(697\) | − | 0.140708i | − | 0.00532970i | ||||||
\(698\) | 26.9975 | − | 6.14864i | 1.02187 | − | 0.232730i | ||||
\(699\) | 16.4136 | − | 9.47641i | 0.620820 | − | 0.358431i | ||||
\(700\) | 2.74327 | + | 5.71020i | 0.103686 | + | 0.215825i | ||||
\(701\) | − | 0.168502i | − | 0.00636422i | −0.999995 | − | 0.00318211i | \(-0.998987\pi\) | ||
0.999995 | − | 0.00318211i | \(-0.00101290\pi\) | |||||||
\(702\) | 26.6238 | + | 7.02555i | 1.00485 | + | 0.265162i | ||||
\(703\) | 23.4526 | 0.884530 | ||||||||
\(704\) | −18.8633 | + | 5.76030i | −0.710938 | + | 0.217100i | ||||
\(705\) | −4.78093 | − | 8.28082i | −0.180060 | − | 0.311874i | ||||
\(706\) | −1.70387 | − | 7.48135i | −0.0641258 | − | 0.281564i | ||||
\(707\) | −16.7810 | −0.631116 | ||||||||
\(708\) | 14.9914 | − | 21.9440i | 0.563412 | − | 0.824706i | ||||
\(709\) | 13.2652 | − | 22.9759i | 0.498184 | − | 0.862879i | −0.501814 | − | 0.864975i | \(-0.667334\pi\) |
0.999998 | + | 0.00209603i | \(0.000667187\pi\) | |||||||
\(710\) | 3.88825 | − | 3.60437i | 0.145924 | − | 0.135270i | ||||
\(711\) | 7.59395 | − | 13.1531i | 0.284795 | − | 0.493280i | ||||
\(712\) | 14.6026 | − | 37.0529i | 0.547254 | − | 1.38861i | ||||
\(713\) | 45.2677 | − | 26.1353i | 1.69529 | − | 0.978776i | ||||
\(714\) | 2.60974 | + | 2.81529i | 0.0976672 | + | 0.105360i | ||||
\(715\) | −4.76139 | − | 7.50640i | −0.178066 | − | 0.280723i | ||||
\(716\) | 22.6825 | + | 1.72128i | 0.847684 | + | 0.0643273i | ||||
\(717\) | 3.69044 | + | 6.39203i | 0.137822 | + | 0.238715i | ||||
\(718\) | −32.5875 | − | 10.0687i | −1.21616 | − | 0.375761i | ||||
\(719\) | 19.5787 | − | 33.9113i | 0.730163 | − | 1.26468i | −0.226651 | − | 0.973976i | \(-0.572778\pi\) |
0.956813 | − | 0.290703i | \(-0.0938890\pi\) | |||||||
\(720\) | −6.53725 | − | 0.997917i | −0.243629 | − | 0.0371902i | ||||
\(721\) | 19.3820 | + | 11.1902i | 0.721822 | + | 0.416744i | ||||
\(722\) | 76.6158 | − | 17.4491i | 2.85134 | − | 0.649389i | ||||
\(723\) | −14.2820 | −0.531155 | ||||||||
\(724\) | 19.7829 | − | 28.9577i | 0.735227 | − | 1.07620i | ||||
\(725\) | 1.59257 | − | 0.919468i | 0.0591464 | − | 0.0341482i | ||||
\(726\) | −7.71760 | − | 2.38454i | −0.286427 | − | 0.0884986i | ||||
\(727\) | −18.8156 | −0.697832 | −0.348916 | − | 0.937154i | \(-0.613450\pi\) | ||||
−0.348916 | + | 0.937154i | \(0.613450\pi\) | |||||||
\(728\) | −31.7217 | + | 6.09600i | −1.17569 | + | 0.225933i | ||||
\(729\) | −20.9612 | −0.776342 | ||||||||
\(730\) | 1.39566 | + | 0.431223i | 0.0516557 | + | 0.0159603i | ||||
\(731\) | 5.49050 | − | 3.16994i | 0.203073 | − | 0.117244i | ||||
\(732\) | −8.91906 | − | 6.09321i | −0.329658 | − | 0.225212i | ||||
\(733\) | 19.8512 | 0.733219 | 0.366610 | − | 0.930375i | \(-0.380518\pi\) | ||||
0.366610 | + | 0.930375i | \(0.380518\pi\) | |||||||
\(734\) | 3.07919 | − | 0.701281i | 0.113655 | − | 0.0258848i | ||||
\(735\) | −3.04821 | − | 1.75988i | −0.112435 | − | 0.0649143i | ||||
\(736\) | −18.3237 | − | 27.0123i | −0.675422 | − | 0.995686i | ||||
\(737\) | −4.10480 | + | 7.10972i | −0.151202 | + | 0.261890i | ||||
\(738\) | −0.425645 | − | 0.131513i | −0.0156682 | − | 0.00484107i | ||||
\(739\) | 21.9843 | + | 38.0780i | 0.808707 | + | 1.40072i | 0.913760 | + | 0.406255i | \(0.133166\pi\) |
−0.105052 | + | 0.994467i | \(0.533501\pi\) | |||||||
\(740\) | 0.411030 | − | 5.41642i | 0.0151098 | − | 0.199111i | ||||
\(741\) | 1.50506 | + | 36.0994i | 0.0552899 | + | 1.32614i | ||||
\(742\) | −12.7464 | − | 13.7503i | −0.467934 | − | 0.504789i | ||||
\(743\) | −17.2021 | + | 9.93161i | −0.631082 | + | 0.364356i | −0.781171 | − | 0.624317i | \(-0.785377\pi\) |
0.150089 | + | 0.988673i | \(0.452044\pi\) | |||||||
\(744\) | 27.6638 | + | 10.9023i | 1.01420 | + | 0.399698i | ||||
\(745\) | −6.58106 | + | 11.3987i | −0.241111 | + | 0.417617i | ||||
\(746\) | 13.9846 | − | 12.9636i | 0.512013 | − | 0.474631i | ||||
\(747\) | −1.48312 | + | 2.56884i | −0.0542646 | + | 0.0939890i | ||||
\(748\) | 3.00656 | + | 2.05398i | 0.109931 | + | 0.0751010i | ||||
\(749\) | 37.4263 | 1.36753 | ||||||||
\(750\) | −0.364447 | − | 1.60022i | −0.0133077 | − | 0.0584316i | ||||
\(751\) | −9.68597 | − | 16.7766i | −0.353446 | − | 0.612186i | 0.633405 | − | 0.773821i | \(-0.281657\pi\) |
−0.986851 | + | 0.161634i | \(0.948324\pi\) | |||||||
\(752\) | −30.7021 | + | 11.9831i | −1.11959 | + | 0.436978i | ||||
\(753\) | −8.13379 | −0.296412 | ||||||||
\(754\) | 2.46127 | + | 9.04798i | 0.0896340 | + | 0.329508i | ||||
\(755\) | 17.2918i | 0.629313i | ||||||||
\(756\) | 30.8355 | − | 14.8139i | 1.12148 | − | 0.538776i | ||||
\(757\) | −14.7095 | + | 8.49256i | −0.534627 | + | 0.308667i | −0.742899 | − | 0.669404i | \(-0.766550\pi\) |
0.208271 | + | 0.978071i | \(0.433216\pi\) | |||||||
\(758\) | −8.43819 | + | 1.92179i | −0.306489 | + | 0.0698024i | ||||
\(759\) | 16.5089i | 0.599236i | ||||||||
\(760\) | −3.60603 | − | 24.1557i | −0.130804 | − | 0.876220i | ||||
\(761\) | 45.5367 | + | 26.2906i | 1.65070 | + | 0.953035i | 0.976783 | + | 0.214232i | \(0.0687249\pi\) |
0.673922 | + | 0.738803i | \(0.264608\pi\) | |||||||
\(762\) | −4.73995 | + | 4.39389i | −0.171710 | + | 0.159174i | ||||
\(763\) | −8.58468 | − | 4.95637i | −0.310786 | − | 0.179433i | ||||
\(764\) | −1.24640 | + | 0.598790i | −0.0450932 | + | 0.0216635i | ||||
\(765\) | 0.610424 | + | 1.05729i | 0.0220699 | + | 0.0382262i | ||||
\(766\) | −21.9910 | + | 20.3855i | −0.794569 | + | 0.736557i | ||||
\(767\) | 19.1350 | − | 36.5822i | 0.690923 | − | 1.32091i | ||||
\(768\) | 5.53975 | − | 17.7223i | 0.199898 | − | 0.639499i | ||||
\(769\) | 42.8525 | − | 24.7409i | 1.54530 | − | 0.892181i | 0.546812 | − | 0.837255i < |