Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 28.5 | ||
Character | \(\chi\) | \(=\) | 177.28 |
Dual form | 177.2.e.b.19.5 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{10}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.09892 | + | 2.07278i | 0.777052 | + | 1.46568i | 0.882026 | + | 0.471200i | \(0.156179\pi\) |
−0.104974 | + | 0.994475i | \(0.533476\pi\) | |||||||
\(3\) | 0.725995 | + | 0.687699i | 0.419154 | + | 0.397043i | ||||
\(4\) | −1.96641 | + | 2.90024i | −0.983207 | + | 1.45012i | ||||
\(5\) | −2.10012 | − | 0.462272i | −0.939204 | − | 0.206734i | −0.281115 | − | 0.959674i | \(-0.590704\pi\) |
−0.658089 | + | 0.752940i | \(0.728635\pi\) | |||||||
\(6\) | −0.627639 | + | 2.26055i | −0.256233 | + | 0.922867i | ||||
\(7\) | 0.717585 | + | 0.545494i | 0.271222 | + | 0.206177i | 0.731940 | − | 0.681369i | \(-0.238615\pi\) |
−0.460718 | + | 0.887546i | \(0.652408\pi\) | |||||||
\(8\) | −3.50786 | − | 0.381503i | −1.24022 | − | 0.134882i | ||||
\(9\) | 0.0541389 | + | 0.998533i | 0.0180463 | + | 0.332844i | ||||
\(10\) | −1.34967 | − | 4.86109i | −0.426805 | − | 1.53721i | ||||
\(11\) | 1.40865 | − | 3.53546i | 0.424725 | − | 1.06598i | −0.548505 | − | 0.836147i | \(-0.684803\pi\) |
0.973230 | − | 0.229833i | \(-0.0738179\pi\) | |||||||
\(12\) | −3.42211 | + | 0.753262i | −0.987877 | + | 0.217448i | ||||
\(13\) | −0.206281 | + | 3.80462i | −0.0572119 | + | 1.05521i | 0.819156 | + | 0.573570i | \(0.194442\pi\) |
−0.876368 | + | 0.481642i | \(0.840041\pi\) | |||||||
\(14\) | −0.342121 | + | 2.08685i | −0.0914357 | + | 0.557733i | ||||
\(15\) | −1.20678 | − | 1.77986i | −0.311588 | − | 0.459558i | ||||
\(16\) | −0.470132 | − | 1.17994i | −0.117533 | − | 0.294985i | ||||
\(17\) | 6.11677 | − | 4.64985i | 1.48353 | − | 1.12775i | 0.522042 | − | 0.852920i | \(-0.325170\pi\) |
0.961492 | − | 0.274834i | \(-0.0886228\pi\) | |||||||
\(18\) | −2.01024 | + | 1.20952i | −0.473819 | + | 0.285087i | ||||
\(19\) | 1.17308 | + | 0.395258i | 0.269124 | + | 0.0906783i | 0.450628 | − | 0.892712i | \(-0.351200\pi\) |
−0.181504 | + | 0.983390i | \(0.558097\pi\) | |||||||
\(20\) | 5.47042 | − | 5.18185i | 1.22322 | − | 1.15870i | ||||
\(21\) | 0.145828 | + | 0.889509i | 0.0318222 | + | 0.194107i | ||||
\(22\) | 8.87621 | − | 0.965346i | 1.89241 | − | 0.205812i | ||||
\(23\) | −3.89892 | − | 2.34590i | −0.812981 | − | 0.489155i | 0.0473569 | − | 0.998878i | \(-0.484920\pi\) |
−0.860338 | + | 0.509723i | \(0.829748\pi\) | |||||||
\(24\) | −2.28433 | − | 2.68933i | −0.466288 | − | 0.548956i | ||||
\(25\) | −0.341052 | − | 0.157787i | −0.0682104 | − | 0.0315575i | ||||
\(26\) | −8.11282 | + | 3.75339i | −1.59105 | + | 0.736100i | ||||
\(27\) | −0.647386 | + | 0.762162i | −0.124590 | + | 0.146678i | ||||
\(28\) | −2.99314 | + | 1.00850i | −0.565649 | + | 0.190590i | ||||
\(29\) | 3.05551 | − | 5.76330i | 0.567394 | − | 1.07022i | −0.419334 | − | 0.907832i | \(-0.637736\pi\) |
0.986727 | − | 0.162386i | \(-0.0519190\pi\) | |||||||
\(30\) | 2.36311 | − | 4.45730i | 0.431443 | − | 0.813788i | ||||
\(31\) | −2.29118 | + | 0.771990i | −0.411509 | + | 0.138653i | −0.517439 | − | 0.855720i | \(-0.673115\pi\) |
0.105930 | + | 0.994374i | \(0.466218\pi\) | |||||||
\(32\) | −2.63955 | + | 3.10751i | −0.466610 | + | 0.549336i | ||||
\(33\) | 3.45401 | − | 1.59799i | 0.601266 | − | 0.278175i | ||||
\(34\) | 16.3599 | + | 7.56890i | 2.80570 | + | 1.29806i | ||||
\(35\) | −1.25485 | − | 1.47732i | −0.212108 | − | 0.249713i | ||||
\(36\) | −3.00245 | − | 1.80651i | −0.500408 | − | 0.301086i | ||||
\(37\) | 0.583965 | − | 0.0635101i | 0.0960033 | − | 0.0104410i | −0.0599913 | − | 0.998199i | \(-0.519107\pi\) |
0.155995 | + | 0.987758i | \(0.450142\pi\) | |||||||
\(38\) | 0.469840 | + | 2.86590i | 0.0762181 | + | 0.464910i | ||||
\(39\) | −2.76619 | + | 2.62028i | −0.442946 | + | 0.419580i | ||||
\(40\) | 7.19059 | + | 2.42279i | 1.13693 | + | 0.383077i | ||||
\(41\) | −9.60910 | + | 5.78161i | −1.50069 | + | 0.902935i | −0.501401 | + | 0.865215i | \(0.667182\pi\) |
−0.999288 | + | 0.0377202i | \(0.987990\pi\) | |||||||
\(42\) | −1.68350 | + | 1.27976i | −0.259770 | + | 0.197472i | ||||
\(43\) | −0.0633175 | − | 0.158915i | −0.00965583 | − | 0.0242343i | 0.924070 | − | 0.382224i | \(-0.124842\pi\) |
−0.933726 | + | 0.357990i | \(0.883462\pi\) | |||||||
\(44\) | 7.48369 | + | 11.0376i | 1.12821 | + | 1.66398i | ||||
\(45\) | 0.347896 | − | 2.12207i | 0.0518613 | − | 0.316340i | ||||
\(46\) | 0.577944 | − | 10.6596i | 0.0852132 | − | 1.57167i | ||||
\(47\) | −0.570219 | + | 0.125515i | −0.0831750 | + | 0.0183082i | −0.256363 | − | 0.966581i | \(-0.582524\pi\) |
0.173188 | + | 0.984889i | \(0.444593\pi\) | |||||||
\(48\) | 0.470132 | − | 1.17994i | 0.0678577 | − | 0.170310i | ||||
\(49\) | −1.65533 | − | 5.96197i | −0.236476 | − | 0.851710i | ||||
\(50\) | −0.0477296 | − | 0.880320i | −0.00674998 | − | 0.124496i | ||||
\(51\) | 7.63844 | + | 0.830731i | 1.06960 | + | 0.116326i | ||||
\(52\) | −10.6287 | − | 8.07973i | −1.47394 | − | 1.12046i | ||||
\(53\) | −0.187586 | + | 0.675623i | −0.0257669 | + | 0.0928039i | −0.975315 | − | 0.220816i | \(-0.929128\pi\) |
0.949549 | + | 0.313620i | \(0.101542\pi\) | |||||||
\(54\) | −2.29122 | − | 0.504335i | −0.311795 | − | 0.0686313i | ||||
\(55\) | −4.59269 | + | 6.77372i | −0.619279 | + | 0.913368i | ||||
\(56\) | −2.30908 | − | 2.18728i | −0.308564 | − | 0.292287i | ||||
\(57\) | 0.579834 | + | 1.09368i | 0.0768009 | + | 0.144862i | ||||
\(58\) | 15.3038 | 2.00949 | ||||||||
\(59\) | 6.28811 | + | 4.41131i | 0.818642 | + | 0.574304i | ||||
\(60\) | 7.53506 | 0.972772 | ||||||||
\(61\) | −3.86538 | − | 7.29088i | −0.494911 | − | 0.933501i | −0.997614 | − | 0.0690417i | \(-0.978006\pi\) |
0.502703 | − | 0.864459i | \(-0.332339\pi\) | |||||||
\(62\) | −4.11799 | − | 3.90076i | −0.522985 | − | 0.495397i | ||||
\(63\) | −0.505845 | + | 0.746065i | −0.0637304 | + | 0.0939954i | ||||
\(64\) | −11.8227 | − | 2.60238i | −1.47784 | − | 0.325298i | ||||
\(65\) | 2.19199 | − | 7.89482i | 0.271882 | − | 0.979232i | ||||
\(66\) | 7.10796 | + | 5.40333i | 0.874929 | + | 0.665104i | ||||
\(67\) | 13.5688 | + | 1.47570i | 1.65770 | + | 0.180285i | 0.888548 | − | 0.458783i | \(-0.151715\pi\) |
0.769149 | + | 0.639069i | \(0.220680\pi\) | |||||||
\(68\) | 1.45759 | + | 26.8836i | 0.176759 | + | 3.26012i | ||||
\(69\) | −1.21732 | − | 4.38440i | −0.146549 | − | 0.527820i | ||||
\(70\) | 1.68319 | − | 4.22448i | 0.201179 | − | 0.504922i | ||||
\(71\) | −2.80693 | + | 0.617852i | −0.333121 | + | 0.0733255i | −0.378382 | − | 0.925650i | \(-0.623519\pi\) |
0.0452604 | + | 0.998975i | \(0.485588\pi\) | |||||||
\(72\) | 0.191032 | − | 3.52337i | 0.0225133 | − | 0.415233i | ||||
\(73\) | 0.610666 | − | 3.72490i | 0.0714731 | − | 0.435967i | −0.926713 | − | 0.375769i | \(-0.877379\pi\) |
0.998186 | − | 0.0601977i | \(-0.0191731\pi\) | |||||||
\(74\) | 0.773372 | + | 1.14064i | 0.0899027 | + | 0.132596i | ||||
\(75\) | −0.139092 | − | 0.349094i | −0.0160609 | − | 0.0403099i | ||||
\(76\) | −3.45311 | + | 2.62499i | −0.396099 | + | 0.301107i | ||||
\(77\) | 2.93940 | − | 1.76858i | 0.334976 | − | 0.201548i | ||||
\(78\) | −8.47107 | − | 2.85424i | −0.959160 | − | 0.323179i | ||||
\(79\) | −5.91954 | + | 5.60728i | −0.666000 | + | 0.630869i | −0.944091 | − | 0.329686i | \(-0.893057\pi\) |
0.278091 | + | 0.960555i | \(0.410298\pi\) | |||||||
\(80\) | 0.441881 | + | 2.69535i | 0.0494038 | + | 0.301350i | ||||
\(81\) | −0.994138 | + | 0.108119i | −0.110460 | + | 0.0120132i | ||||
\(82\) | −22.5436 | − | 13.5640i | −2.48952 | − | 1.49790i | ||||
\(83\) | −7.55914 | − | 8.89931i | −0.829724 | − | 0.976826i | 0.170240 | − | 0.985403i | \(-0.445546\pi\) |
−0.999963 | + | 0.00857659i | \(0.997270\pi\) | |||||||
\(84\) | −2.86655 | − | 1.32621i | −0.312766 | − | 0.144701i | ||||
\(85\) | −14.9955 | + | 6.93764i | −1.62649 | + | 0.752493i | ||||
\(86\) | 0.259815 | − | 0.305878i | 0.0280165 | − | 0.0329836i | ||||
\(87\) | 6.18171 | − | 2.08286i | 0.662748 | − | 0.223306i | ||||
\(88\) | −6.29016 | + | 11.8645i | −0.670533 | + | 1.26476i | ||||
\(89\) | −6.36590 | + | 12.0074i | −0.674784 | + | 1.27278i | 0.275472 | + | 0.961309i | \(0.411166\pi\) |
−0.950256 | + | 0.311469i | \(0.899179\pi\) | |||||||
\(90\) | 4.78089 | − | 1.61087i | 0.503950 | − | 0.169801i | ||||
\(91\) | −2.22342 | + | 2.61761i | −0.233078 | + | 0.274401i | ||||
\(92\) | 14.4706 | − | 6.69481i | 1.50866 | − | 0.697982i | ||||
\(93\) | −2.19429 | − | 1.01519i | −0.227537 | − | 0.105270i | ||||
\(94\) | −0.886788 | − | 1.04401i | −0.0914652 | − | 0.107681i | ||||
\(95\) | −2.28090 | − | 1.37237i | −0.234016 | − | 0.140803i | ||||
\(96\) | −4.05333 | + | 0.440826i | −0.413692 | + | 0.0449917i | ||||
\(97\) | −0.117734 | − | 0.718148i | −0.0119541 | − | 0.0729169i | 0.980176 | − | 0.198130i | \(-0.0634868\pi\) |
−0.992130 | + | 0.125213i | \(0.960039\pi\) | |||||||
\(98\) | 10.5388 | − | 9.98285i | 1.06458 | − | 1.00842i | ||||
\(99\) | 3.60653 | + | 1.21518i | 0.362470 | + | 0.122130i | ||||
\(100\) | 1.12827 | − | 0.678859i | 0.112827 | − | 0.0678859i | ||||
\(101\) | −15.1641 | + | 11.5275i | −1.50889 | + | 1.14703i | −0.561267 | + | 0.827635i | \(0.689686\pi\) |
−0.947622 | + | 0.319393i | \(0.896521\pi\) | |||||||
\(102\) | 6.67210 | + | 16.7457i | 0.660636 | + | 1.65807i | ||||
\(103\) | 6.36724 | + | 9.39098i | 0.627383 | + | 0.925320i | 0.999996 | − | 0.00266617i | \(-0.000848671\pi\) |
−0.372614 | + | 0.927987i | \(0.621538\pi\) | |||||||
\(104\) | 2.17508 | − | 13.2674i | 0.213284 | − | 1.30097i | ||||
\(105\) | 0.104939 | − | 1.93549i | 0.0102410 | − | 0.188885i | ||||
\(106\) | −1.60656 | + | 0.353630i | −0.156043 | + | 0.0343476i | ||||
\(107\) | 7.18528 | − | 18.0337i | 0.694627 | − | 1.74338i | 0.0261412 | − | 0.999658i | \(-0.491678\pi\) |
0.668486 | − | 0.743725i | \(-0.266943\pi\) | |||||||
\(108\) | −0.937427 | − | 3.37631i | −0.0902039 | − | 0.324885i | ||||
\(109\) | −0.409482 | − | 7.55246i | −0.0392213 | − | 0.723394i | −0.950333 | − | 0.311235i | \(-0.899257\pi\) |
0.911112 | − | 0.412160i | \(-0.135225\pi\) | |||||||
\(110\) | −19.0874 | − | 2.07588i | −1.81991 | − | 0.197927i | ||||
\(111\) | 0.467632 | + | 0.355485i | 0.0443857 | + | 0.0337411i | ||||
\(112\) | 0.306292 | − | 1.10316i | 0.0289418 | − | 0.104239i | ||||
\(113\) | −14.1456 | − | 3.11368i | −1.33071 | − | 0.292911i | −0.507991 | − | 0.861363i | \(-0.669612\pi\) |
−0.822716 | + | 0.568452i | \(0.807543\pi\) | |||||||
\(114\) | −1.62977 | + | 2.40374i | −0.152642 | + | 0.225130i | ||||
\(115\) | 7.10377 | + | 6.72905i | 0.662430 | + | 0.627487i | ||||
\(116\) | 10.7066 | + | 20.1948i | 0.994082 | + | 1.87504i | ||||
\(117\) | −3.81021 | −0.352254 | ||||||||
\(118\) | −2.23355 | + | 17.8815i | −0.205615 | + | 1.64613i | ||||
\(119\) | 6.92576 | 0.634884 | ||||||||
\(120\) | 3.55418 | + | 6.70390i | 0.324451 | + | 0.611980i | ||||
\(121\) | −2.52919 | − | 2.39578i | −0.229927 | − | 0.217798i | ||||
\(122\) | 10.8646 | − | 16.0241i | 0.983638 | − | 1.45076i | ||||
\(123\) | −10.9522 | − | 2.41076i | −0.987524 | − | 0.217370i | ||||
\(124\) | 2.26646 | − | 8.16305i | 0.203534 | − | 0.733063i | ||||
\(125\) | 9.20290 | + | 6.99586i | 0.823132 | + | 0.625729i | ||||
\(126\) | −2.10231 | − | 0.228640i | −0.187289 | − | 0.0203689i | ||||
\(127\) | 0.121528 | + | 2.24145i | 0.0107838 | + | 0.198896i | 0.998961 | + | 0.0455783i | \(0.0145131\pi\) |
−0.988177 | + | 0.153318i | \(0.951004\pi\) | |||||||
\(128\) | −5.41650 | − | 19.5085i | −0.478756 | − | 1.72432i | ||||
\(129\) | 0.0633175 | − | 0.158915i | 0.00557480 | − | 0.0139917i | ||||
\(130\) | 18.7730 | − | 4.13225i | 1.64650 | − | 0.362423i | ||||
\(131\) | 0.380739 | − | 7.02231i | 0.0332653 | − | 0.613542i | −0.933610 | − | 0.358292i | \(-0.883359\pi\) |
0.966875 | − | 0.255251i | \(-0.0821580\pi\) | |||||||
\(132\) | −2.15744 | + | 13.1598i | −0.187781 | + | 1.14541i | ||||
\(133\) | 0.626176 | + | 0.923541i | 0.0542964 | + | 0.0800811i | ||||
\(134\) | 11.8522 | + | 29.7469i | 1.02388 | + | 2.56974i | ||||
\(135\) | 1.71192 | − | 1.30137i | 0.147338 | − | 0.112004i | ||||
\(136\) | −23.2307 | + | 13.9775i | −1.99202 | + | 1.19856i | ||||
\(137\) | 6.23196 | + | 2.09979i | 0.532432 | + | 0.179397i | 0.572660 | − | 0.819793i | \(-0.305912\pi\) |
−0.0402272 | + | 0.999191i | \(0.512808\pi\) | |||||||
\(138\) | 7.75015 | − | 7.34134i | 0.659737 | − | 0.624936i | ||||
\(139\) | 3.55743 | + | 21.6993i | 0.301737 | + | 1.84051i | 0.507173 | + | 0.861844i | \(0.330690\pi\) |
−0.205436 | + | 0.978671i | \(0.565861\pi\) | |||||||
\(140\) | 6.75216 | − | 0.734342i | 0.570662 | − | 0.0620632i | ||||
\(141\) | −0.500293 | − | 0.301016i | −0.0421323 | − | 0.0253501i | ||||
\(142\) | −4.36525 | − | 5.13917i | −0.366324 | − | 0.431270i | ||||
\(143\) | 13.1605 | + | 6.08869i | 1.10054 | + | 0.509162i | ||||
\(144\) | 1.15276 | − | 0.533323i | 0.0960633 | − | 0.0444436i | ||||
\(145\) | −9.08116 | + | 10.6912i | −0.754149 | + | 0.887853i | ||||
\(146\) | 8.39196 | − | 2.82758i | 0.694524 | − | 0.234012i | ||||
\(147\) | 2.89828 | − | 5.46674i | 0.239046 | − | 0.450889i | ||||
\(148\) | −0.964123 | + | 1.81853i | −0.0792505 | + | 0.149482i | ||||
\(149\) | 16.6326 | − | 5.60419i | 1.36260 | − | 0.459113i | 0.459359 | − | 0.888251i | \(-0.348079\pi\) |
0.903239 | + | 0.429138i | \(0.141183\pi\) | |||||||
\(150\) | 0.570744 | − | 0.671932i | 0.0466011 | − | 0.0548630i | ||||
\(151\) | 10.4912 | − | 4.85374i | 0.853760 | − | 0.394992i | 0.0563370 | − | 0.998412i | \(-0.482058\pi\) |
0.797423 | + | 0.603420i | \(0.206196\pi\) | |||||||
\(152\) | −3.96422 | − | 1.83404i | −0.321541 | − | 0.148761i | ||||
\(153\) | 4.97418 | + | 5.85606i | 0.402139 | + | 0.473434i | ||||
\(154\) | 6.89603 | + | 4.14920i | 0.555698 | + | 0.334352i | ||||
\(155\) | 5.16864 | − | 0.562124i | 0.415155 | − | 0.0451509i | ||||
\(156\) | −2.15996 | − | 13.1752i | −0.172936 | − | 1.05486i | ||||
\(157\) | −13.2571 | + | 12.5578i | −1.05803 | + | 1.00222i | −0.0580425 | + | 0.998314i | \(0.518486\pi\) |
−0.999992 | + | 0.00390971i | \(0.998755\pi\) | |||||||
\(158\) | −18.1277 | − | 6.10794i | −1.44217 | − | 0.485922i | ||||
\(159\) | −0.600812 | + | 0.361496i | −0.0476475 | + | 0.0286685i | ||||
\(160\) | 6.97989 | − | 5.30597i | 0.551809 | − | 0.419474i | ||||
\(161\) | −1.51813 | − | 3.81022i | −0.119646 | − | 0.300288i | ||||
\(162\) | −1.31658 | − | 1.94181i | −0.103440 | − | 0.152563i | ||||
\(163\) | 1.16226 | − | 7.08947i | 0.0910353 | − | 0.555290i | −0.901446 | − | 0.432892i | \(-0.857493\pi\) |
0.992481 | − | 0.122398i | \(-0.0390586\pi\) | |||||||
\(164\) | 2.12741 | − | 39.2378i | 0.166123 | − | 3.06396i | ||||
\(165\) | −7.99255 | + | 1.75929i | −0.622220 | + | 0.136961i | ||||
\(166\) | 10.1394 | − | 25.4480i | 0.786972 | − | 1.97515i | ||||
\(167\) | 5.11350 | + | 18.4172i | 0.395695 | + | 1.42516i | 0.846427 | + | 0.532504i | \(0.178749\pi\) |
−0.450733 | + | 0.892659i | \(0.648837\pi\) | |||||||
\(168\) | −0.172193 | − | 3.17591i | −0.0132850 | − | 0.245027i | ||||
\(169\) | −1.50880 | − | 0.164091i | −0.116061 | − | 0.0126224i | ||||
\(170\) | −30.8590 | − | 23.4584i | −2.36677 | − | 1.79918i | ||||
\(171\) | −0.331169 | + | 1.19276i | −0.0253251 | + | 0.0912127i | ||||
\(172\) | 0.585401 | + | 0.128856i | 0.0446364 | + | 0.00982521i | ||||
\(173\) | 2.94018 | − | 4.33643i | 0.223537 | − | 0.329693i | −0.699338 | − | 0.714791i | \(-0.746522\pi\) |
0.922876 | + | 0.385098i | \(0.125832\pi\) | |||||||
\(174\) | 11.1105 | + | 10.5244i | 0.842284 | + | 0.797854i | ||||
\(175\) | −0.158662 | − | 0.299268i | −0.0119937 | − | 0.0226225i | ||||
\(176\) | −4.83389 | −0.364368 | ||||||||
\(177\) | 1.53149 | + | 7.52692i | 0.115113 | + | 0.565758i | ||||
\(178\) | −31.8842 | −2.38982 | ||||||||
\(179\) | 1.61974 | + | 3.05516i | 0.121065 | + | 0.228353i | 0.936636 | − | 0.350304i | \(-0.113922\pi\) |
−0.815571 | + | 0.578657i | \(0.803577\pi\) | |||||||
\(180\) | 5.47042 | + | 5.18185i | 0.407741 | + | 0.386233i | ||||
\(181\) | 3.70610 | − | 5.46609i | 0.275473 | − | 0.406292i | −0.664636 | − | 0.747168i | \(-0.731413\pi\) |
0.940108 | + | 0.340876i | \(0.110724\pi\) | |||||||
\(182\) | −7.86909 | − | 1.73212i | −0.583296 | − | 0.128393i | ||||
\(183\) | 2.20768 | − | 7.95136i | 0.163197 | − | 0.587781i | ||||
\(184\) | 12.7819 | + | 9.71656i | 0.942295 | + | 0.716314i | ||||
\(185\) | −1.25576 | − | 0.136572i | −0.0923252 | − | 0.0100410i | ||||
\(186\) | −0.307086 | − | 5.66387i | −0.0225167 | − | 0.415295i | ||||
\(187\) | −7.82292 | − | 28.1756i | −0.572068 | − | 2.06040i | ||||
\(188\) | 0.757264 | − | 1.90059i | 0.0552291 | − | 0.138615i | ||||
\(189\) | −0.880309 | + | 0.193771i | −0.0640331 | + | 0.0140947i | ||||
\(190\) | 0.338102 | − | 6.23593i | 0.0245285 | − | 0.452402i | ||||
\(191\) | −3.02642 | + | 18.4603i | −0.218984 | + | 1.33574i | 0.616988 | + | 0.786972i | \(0.288353\pi\) |
−0.835972 | + | 0.548771i | \(0.815096\pi\) | |||||||
\(192\) | −6.79360 | − | 10.0198i | −0.490286 | − | 0.723117i | ||||
\(193\) | −6.87933 | − | 17.2658i | −0.495185 | − | 1.24282i | −0.938133 | − | 0.346274i | \(-0.887447\pi\) |
0.442948 | − | 0.896547i | \(-0.353933\pi\) | |||||||
\(194\) | 1.35918 | − | 1.03322i | 0.0975835 | − | 0.0741810i | ||||
\(195\) | 7.02063 | − | 4.22418i | 0.502758 | − | 0.302499i | ||||
\(196\) | 20.5463 | + | 6.92284i | 1.46759 | + | 0.494489i | ||||
\(197\) | 1.05550 | − | 0.999819i | 0.0752010 | − | 0.0712342i | −0.649176 | − | 0.760638i | \(-0.724886\pi\) |
0.724377 | + | 0.689404i | \(0.242128\pi\) | |||||||
\(198\) | 1.44448 | + | 8.81093i | 0.102655 | + | 0.626166i | ||||
\(199\) | −5.79102 | + | 0.629811i | −0.410514 | + | 0.0446461i | −0.311047 | − | 0.950395i | \(-0.600680\pi\) |
−0.0994677 | + | 0.995041i | \(0.531714\pi\) | |||||||
\(200\) | 1.13617 | + | 0.683609i | 0.0803392 | + | 0.0483385i | ||||
\(201\) | 8.83608 | + | 10.4026i | 0.623249 | + | 0.733745i | ||||
\(202\) | −40.5581 | − | 18.7642i | −2.85366 | − | 1.32024i | ||||
\(203\) | 5.33643 | − | 2.46890i | 0.374544 | − | 0.173283i | ||||
\(204\) | −17.4297 | + | 20.5198i | −1.22032 | + | 1.43667i | ||||
\(205\) | 22.8530 | − | 7.70007i | 1.59612 | − | 0.537796i | ||||
\(206\) | −12.4683 | + | 23.5178i | −0.868710 | + | 1.63856i | ||||
\(207\) | 2.13138 | − | 4.02021i | 0.148141 | − | 0.279424i | ||||
\(208\) | 4.58621 | − | 1.54527i | 0.317997 | − | 0.107146i | ||||
\(209\) | 3.04988 | − | 3.59060i | 0.210965 | − | 0.248367i | ||||
\(210\) | 4.12716 | − | 1.90943i | 0.284801 | − | 0.131763i | ||||
\(211\) | 19.7119 | + | 9.11970i | 1.35702 | + | 0.627826i | 0.957377 | − | 0.288843i | \(-0.0932704\pi\) |
0.399648 | + | 0.916669i | \(0.369133\pi\) | |||||||
\(212\) | −1.59060 | − | 1.87260i | −0.109243 | − | 0.128611i | ||||
\(213\) | −2.46271 | − | 1.48177i | −0.168742 | − | 0.101529i | ||||
\(214\) | 45.2759 | − | 4.92405i | 3.09499 | − | 0.336601i | ||||
\(215\) | 0.0595126 | + | 0.363011i | 0.00405873 | + | 0.0247571i | ||||
\(216\) | 2.56171 | − | 2.42658i | 0.174302 | − | 0.165108i | ||||
\(217\) | −2.06524 | − | 0.695859i | −0.140197 | − | 0.0472380i | ||||
\(218\) | 15.2046 | − | 9.14829i | 1.02978 | − | 0.619601i | ||||
\(219\) | 3.00495 | − | 2.28431i | 0.203056 | − | 0.154359i | ||||
\(220\) | −10.6143 | − | 26.6399i | −0.715615 | − | 1.79606i | ||||
\(221\) | 16.4291 | + | 24.2312i | 1.10514 | + | 1.62996i | ||||
\(222\) | −0.222952 | + | 1.35995i | −0.0149635 | + | 0.0912736i | ||||
\(223\) | −1.49039 | + | 27.4886i | −0.0998039 | + | 1.84077i | 0.337340 | + | 0.941383i | \(0.390473\pi\) |
−0.437144 | + | 0.899391i | \(0.644010\pi\) | |||||||
\(224\) | −3.58923 | + | 0.790049i | −0.239815 | + | 0.0527873i | ||||
\(225\) | 0.139092 | − | 0.349094i | 0.00927279 | − | 0.0232729i | ||||
\(226\) | −9.09088 | − | 32.7424i | −0.604716 | − | 2.17799i | ||||
\(227\) | 0.910879 | + | 16.8002i | 0.0604572 | + | 1.11507i | 0.858616 | + | 0.512620i | \(0.171325\pi\) |
−0.798159 | + | 0.602447i | \(0.794192\pi\) | |||||||
\(228\) | −4.31215 | − | 0.468974i | −0.285579 | − | 0.0310586i | ||||
\(229\) | −4.26887 | − | 3.24511i | −0.282095 | − | 0.214443i | 0.454552 | − | 0.890720i | \(-0.349799\pi\) |
−0.736648 | + | 0.676277i | \(0.763592\pi\) | |||||||
\(230\) | −6.14137 | + | 22.1192i | −0.404950 | + | 1.45850i | ||||
\(231\) | 3.35024 | + | 0.737444i | 0.220430 | + | 0.0485202i | ||||
\(232\) | −12.9170 | + | 19.0512i | −0.848044 | + | 1.25077i | ||||
\(233\) | −6.40026 | − | 6.06265i | −0.419295 | − | 0.397177i | 0.448754 | − | 0.893655i | \(-0.351868\pi\) |
−0.868049 | + | 0.496478i | \(0.834626\pi\) | |||||||
\(234\) | −4.18710 | − | 7.89772i | −0.273720 | − | 0.516290i | ||||
\(235\) | 1.25555 | 0.0819032 | ||||||||
\(236\) | −25.1589 | + | 9.56260i | −1.63771 | + | 0.622472i | ||||
\(237\) | −8.15368 | −0.529639 | ||||||||
\(238\) | 7.61084 | + | 14.3556i | 0.493338 | + | 0.930533i | ||||
\(239\) | −4.20955 | − | 3.98750i | −0.272293 | − | 0.257930i | 0.539352 | − | 0.842080i | \(-0.318669\pi\) |
−0.811645 | + | 0.584151i | \(0.801428\pi\) | |||||||
\(240\) | −1.53279 | + | 2.26070i | −0.0989411 | + | 0.145927i | ||||
\(241\) | −7.31833 | − | 1.61089i | −0.471415 | − | 0.103766i | −0.0270921 | − | 0.999633i | \(-0.508625\pi\) |
−0.444323 | + | 0.895867i | \(0.646556\pi\) | |||||||
\(242\) | 2.18654 | − | 7.87522i | 0.140556 | − | 0.506239i | ||||
\(243\) | −0.796093 | − | 0.605174i | −0.0510694 | − | 0.0388219i | ||||
\(244\) | 28.7463 | + | 3.12634i | 1.84029 | + | 0.200144i | ||||
\(245\) | 0.720351 | + | 13.2861i | 0.0460216 | + | 0.848818i | ||||
\(246\) | −7.03857 | − | 25.3506i | −0.448763 | − | 1.61630i | ||||
\(247\) | −1.74579 | + | 4.38160i | −0.111082 | + | 0.278795i | ||||
\(248\) | 8.33168 | − | 1.83394i | 0.529062 | − | 0.116455i | ||||
\(249\) | 0.632148 | − | 11.6593i | 0.0400607 | − | 0.738877i | ||||
\(250\) | −4.38764 | + | 26.7634i | −0.277499 | + | 1.69267i | ||||
\(251\) | 5.86595 | + | 8.65163i | 0.370255 | + | 0.546086i | 0.966483 | − | 0.256729i | \(-0.0826449\pi\) |
−0.596228 | + | 0.802815i | \(0.703335\pi\) | |||||||
\(252\) | −1.16907 | − | 2.93415i | −0.0736445 | − | 0.184834i | ||||
\(253\) | −13.7861 | + | 10.4799i | −0.866723 | + | 0.658866i | ||||
\(254\) | −4.51247 | + | 2.71506i | −0.283138 | + | 0.170358i | ||||
\(255\) | −15.6577 | − | 5.27568i | −0.980520 | − | 0.330376i | ||||
\(256\) | 16.9070 | − | 16.0152i | 1.05669 | − | 1.00095i | ||||
\(257\) | −3.64590 | − | 22.2390i | −0.227425 | − | 1.38723i | −0.815655 | − | 0.578538i | \(-0.803623\pi\) |
0.588230 | − | 0.808693i | \(-0.299825\pi\) | |||||||
\(258\) | 0.398976 | − | 0.0433913i | 0.0248392 | − | 0.00270142i | ||||
\(259\) | 0.453689 | + | 0.272976i | 0.0281909 | + | 0.0169619i | ||||
\(260\) | 18.5866 | + | 21.8818i | 1.15269 | + | 1.35705i | ||||
\(261\) | 5.92027 | + | 2.73901i | 0.366456 | + | 0.169540i | ||||
\(262\) | 14.9741 | − | 6.92776i | 0.925103 | − | 0.427998i | ||||
\(263\) | −5.95389 | + | 7.00946i | −0.367132 | + | 0.432222i | −0.914447 | − | 0.404705i | \(-0.867374\pi\) |
0.547315 | + | 0.836927i | \(0.315650\pi\) | |||||||
\(264\) | −12.7258 | + | 4.28783i | −0.783221 | + | 0.263898i | ||||
\(265\) | 0.706275 | − | 1.33218i | 0.0433861 | − | 0.0818349i | ||||
\(266\) | −1.22618 | + | 2.31282i | −0.0751818 | + | 0.141808i | ||||
\(267\) | −12.8791 | + | 4.33947i | −0.788187 | + | 0.265571i | ||||
\(268\) | −30.9619 | + | 36.4511i | −1.89130 | + | 2.22661i | ||||
\(269\) | −13.1094 | + | 6.06504i | −0.799292 | + | 0.369792i | −0.776634 | − | 0.629951i | \(-0.783075\pi\) |
−0.0226574 | + | 0.999743i | \(0.507213\pi\) | |||||||
\(270\) | 4.57870 | + | 2.11833i | 0.278651 | + | 0.128918i | ||||
\(271\) | 9.39479 | + | 11.0604i | 0.570693 | + | 0.671872i | 0.969480 | − | 0.245172i | \(-0.0788445\pi\) |
−0.398787 | + | 0.917044i | \(0.630569\pi\) | |||||||
\(272\) | −8.36224 | − | 5.03139i | −0.507035 | − | 0.305073i | ||||
\(273\) | −3.41433 | + | 0.371330i | −0.206644 | + | 0.0224739i | ||||
\(274\) | 2.49601 | + | 15.2250i | 0.150789 | + | 0.919774i | ||||
\(275\) | −1.03828 | + | 0.983506i | −0.0626103 | + | 0.0593077i | ||||
\(276\) | 15.1096 | + | 5.09102i | 0.909491 | + | 0.306443i | ||||
\(277\) | −0.776384 | + | 0.467135i | −0.0466484 | + | 0.0280674i | −0.538687 | − | 0.842506i | \(-0.681079\pi\) |
0.492039 | + | 0.870573i | \(0.336252\pi\) | |||||||
\(278\) | −41.0686 | + | 31.2195i | −2.46313 | + | 1.87242i | ||||
\(279\) | −0.894900 | − | 2.24603i | −0.0535763 | − | 0.134466i | ||||
\(280\) | 3.83824 | + | 5.66098i | 0.229379 | + | 0.338308i | ||||
\(281\) | −0.652237 | + | 3.97847i | −0.0389092 | + | 0.237336i | −0.999120 | − | 0.0419402i | \(-0.986646\pi\) |
0.960211 | + | 0.279276i | \(0.0900944\pi\) | |||||||
\(282\) | 0.0741593 | − | 1.36779i | 0.00441612 | − | 0.0814506i | ||||
\(283\) | −1.24232 | + | 0.273456i | −0.0738484 | + | 0.0162553i | −0.251741 | − | 0.967795i | \(-0.581003\pi\) |
0.177893 | + | 0.984050i | \(0.443072\pi\) | |||||||
\(284\) | 3.72767 | − | 9.35574i | 0.221196 | − | 0.555161i | ||||
\(285\) | −0.712145 | − | 2.56491i | −0.0421838 | − | 0.151932i | ||||
\(286\) | 1.84179 | + | 33.9698i | 0.108907 | + | 2.00867i | ||||
\(287\) | −10.0492 | − | 1.09291i | −0.593184 | − | 0.0645127i | ||||
\(288\) | −3.24586 | − | 2.46744i | −0.191264 | − | 0.145395i | ||||
\(289\) | 11.2458 | − | 40.5037i | 0.661518 | − | 2.38257i | ||||
\(290\) | −32.1399 | − | 7.07452i | −1.88732 | − | 0.415430i | ||||
\(291\) | 0.408395 | − | 0.602338i | 0.0239406 | − | 0.0353097i | ||||
\(292\) | 9.60230 | + | 9.09578i | 0.561932 | + | 0.532290i | ||||
\(293\) | −13.5595 | − | 25.5760i | −0.792157 | − | 1.49417i | −0.867735 | − | 0.497027i | \(-0.834425\pi\) |
0.0755785 | − | 0.997140i | \(-0.475920\pi\) | |||||||
\(294\) | 14.5163 | 0.846608 | ||||||||
\(295\) | −11.1666 | − | 12.1711i | −0.650144 | − | 0.708630i | ||||
\(296\) | −2.07270 | −0.120473 | ||||||||
\(297\) | 1.78265 | + | 3.36243i | 0.103440 | + | 0.195108i | ||||
\(298\) | 29.8941 | + | 28.3172i | 1.73172 | + | 1.64037i | ||||
\(299\) | 9.72955 | − | 14.3500i | 0.562674 | − | 0.829882i | ||||
\(300\) | 1.28597 | + | 0.283064i | 0.0742456 | + | 0.0163427i | ||||
\(301\) | 0.0412515 | − | 0.148574i | 0.00237769 | − | 0.00856368i | ||||
\(302\) | 21.5897 | + | 16.4120i | 1.24235 | + | 0.944407i | ||||
\(303\) | −18.9366 | − | 2.05947i | −1.08788 | − | 0.118314i | ||||
\(304\) | −0.0851225 | − | 1.56999i | −0.00488211 | − | 0.0900453i | ||||
\(305\) | 4.74740 | + | 17.0986i | 0.271835 | + | 0.979063i | ||||
\(306\) | −6.67210 | + | 16.7457i | −0.381418 | + | 0.957288i | ||||
\(307\) | 24.5848 | − | 5.41152i | 1.40313 | − | 0.308852i | 0.552014 | − | 0.833835i | \(-0.313859\pi\) |
0.851113 | + | 0.524983i | \(0.175928\pi\) | |||||||
\(308\) | −0.650769 | + | 12.0027i | −0.0370810 | + | 0.683919i | ||||
\(309\) | −1.83558 | + | 11.1966i | −0.104423 | + | 0.636950i | ||||
\(310\) | 6.84507 | + | 10.0957i | 0.388774 | + | 0.573398i | ||||
\(311\) | −2.71424 | − | 6.81222i | −0.153910 | − | 0.386285i | 0.831722 | − | 0.555193i | \(-0.187355\pi\) |
−0.985632 | + | 0.168907i | \(0.945976\pi\) | |||||||
\(312\) | 10.7031 | − | 8.13627i | 0.605942 | − | 0.460625i | ||||
\(313\) | 5.41048 | − | 3.25538i | 0.305818 | − | 0.184005i | −0.354369 | − | 0.935106i | \(-0.615304\pi\) |
0.660187 | + | 0.751101i | \(0.270477\pi\) | |||||||
\(314\) | −40.5981 | − | 13.6791i | −2.29108 | − | 0.771956i | ||||
\(315\) | 1.40722 | − | 1.33299i | 0.0792880 | − | 0.0751055i | ||||
\(316\) | −4.62223 | − | 28.1944i | −0.260021 | − | 1.58606i | ||||
\(317\) | 4.31850 | − | 0.469665i | 0.242551 | − | 0.0263790i | 0.0139639 | − | 0.999902i | \(-0.495555\pi\) |
0.228587 | + | 0.973524i | \(0.426589\pi\) | |||||||
\(318\) | −1.40954 | − | 0.848095i | −0.0790433 | − | 0.0475588i | ||||
\(319\) | −16.0717 | − | 18.9211i | −0.899845 | − | 1.05938i | ||||
\(320\) | 23.6262 | + | 10.9306i | 1.32075 | + | 0.611042i | ||||
\(321\) | 17.6182 | − | 8.15107i | 0.983354 | − | 0.454948i | ||||
\(322\) | 6.22945 | − | 7.33387i | 0.347153 | − | 0.408701i | ||||
\(323\) | 9.01336 | − | 3.03696i | 0.501517 | − | 0.168981i | ||||
\(324\) | 1.64132 | − | 3.09585i | 0.0911842 | − | 0.171992i | ||||
\(325\) | 0.670674 | − | 1.26503i | 0.0372023 | − | 0.0701710i | ||||
\(326\) | 15.9721 | − | 5.38164i | 0.884615 | − | 0.298061i | ||||
\(327\) | 4.89654 | − | 5.76465i | 0.270779 | − | 0.318786i | ||||
\(328\) | 35.9131 | − | 16.6152i | 1.98297 | − | 0.917420i | ||||
\(329\) | −0.477648 | − | 0.220984i | −0.0263336 | − | 0.0121832i | ||||
\(330\) | −12.4298 | − | 14.6335i | −0.684237 | − | 0.805546i | ||||
\(331\) | −2.60115 | − | 1.56506i | −0.142972 | − | 0.0860233i | 0.442271 | − | 0.896882i | \(-0.354173\pi\) |
−0.585242 | + | 0.810858i | \(0.699001\pi\) | |||||||
\(332\) | 40.6746 | − | 4.42363i | 2.23231 | − | 0.242778i | ||||
\(333\) | 0.0950322 | + | 0.579671i | 0.00520773 | + | 0.0317658i | ||||
\(334\) | −32.5554 | + | 30.8381i | −1.78135 | + | 1.68739i | ||||
\(335\) | −27.8141 | − | 9.37165i | −1.51964 | − | 0.512028i | ||||
\(336\) | 0.981011 | − | 0.590255i | 0.0535185 | − | 0.0322010i | ||||
\(337\) | −18.4557 | + | 14.0297i | −1.00535 | + | 0.764245i | −0.971948 | − | 0.235197i | \(-0.924426\pi\) |
−0.0333990 | + | 0.999442i | \(0.510633\pi\) | |||||||
\(338\) | −1.31792 | − | 3.30772i | −0.0716852 | − | 0.179916i | ||||
\(339\) | −8.12837 | − | 11.9884i | −0.441472 | − | 0.651123i | ||||
\(340\) | 9.36645 | − | 57.1328i | 0.507967 | − | 3.09846i | ||||
\(341\) | −0.498151 | + | 9.18785i | −0.0269764 | + | 0.497550i | ||||
\(342\) | −2.83626 | + | 0.624307i | −0.153367 | + | 0.0337587i | ||||
\(343\) | 4.39983 | − | 11.0427i | 0.237569 | − | 0.596252i | ||||
\(344\) | 0.161483 | + | 0.581608i | 0.00870656 | + | 0.0313582i | ||||
\(345\) | 0.529742 | + | 9.77052i | 0.0285204 | + | 0.526027i | ||||
\(346\) | 12.2195 | + | 1.32895i | 0.656923 | + | 0.0714447i | ||||
\(347\) | −15.5953 | − | 11.8553i | −0.837201 | − | 0.636423i | 0.0961589 | − | 0.995366i | \(-0.469344\pi\) |
−0.933360 | + | 0.358943i | \(0.883137\pi\) | |||||||
\(348\) | −6.11500 | + | 22.0242i | −0.327798 | + | 1.18062i | ||||
\(349\) | 24.0111 | + | 5.28524i | 1.28528 | + | 0.282912i | 0.804513 | − | 0.593935i | \(-0.202426\pi\) |
0.480770 | + | 0.876847i | \(0.340357\pi\) | |||||||
\(350\) | 0.445959 | − | 0.657741i | 0.0238375 | − | 0.0351577i | ||||
\(351\) | −2.76619 | − | 2.62028i | −0.147649 | − | 0.139860i | ||||
\(352\) | 7.26827 | + | 13.7094i | 0.387400 | + | 0.730714i | ||||
\(353\) | −5.59053 | −0.297554 | −0.148777 | − | 0.988871i | \(-0.547534\pi\) | ||||
−0.148777 | + | 0.988871i | \(0.547534\pi\) | |||||||
\(354\) | −13.9187 | + | 11.4459i | −0.739769 | + | 0.608342i | ||||
\(355\) | 6.18052 | 0.328028 | ||||||||
\(356\) | −22.3063 | − | 42.0741i | −1.18223 | − | 2.22993i | ||||
\(357\) | 5.02807 | + | 4.76284i | 0.266114 | + | 0.252076i | ||||
\(358\) | −4.55270 | + | 6.71473i | −0.240618 | + | 0.354884i | ||||
\(359\) | −21.1899 | − | 4.66425i | −1.11836 | − | 0.246170i | −0.382935 | − | 0.923775i | \(-0.625087\pi\) |
−0.735425 | + | 0.677606i | \(0.763018\pi\) | |||||||
\(360\) | −2.02995 | + | 7.31121i | −0.106988 | + | 0.385335i | ||||
\(361\) | −13.9059 | − | 10.5710i | −0.731888 | − | 0.556367i | ||||
\(362\) | 15.4027 | + | 1.67514i | 0.809548 | + | 0.0880437i | ||||
\(363\) | −0.188607 | − | 3.47865i | −0.00989930 | − | 0.182582i | ||||
\(364\) | −3.21955 | − | 11.5958i | −0.168750 | − | 0.607784i | ||||
\(365\) | −3.00439 | + | 7.54046i | −0.157257 | + | 0.394686i | ||||
\(366\) | 18.9075 | − | 4.16185i | 0.988309 | − | 0.217543i | ||||
\(367\) | 0.912013 | − | 16.8211i | 0.0476067 | − | 0.878054i | −0.873038 | − | 0.487652i | \(-0.837853\pi\) |
0.920645 | − | 0.390402i | \(-0.127664\pi\) | |||||||
\(368\) | −0.935023 | + | 5.70339i | −0.0487414 | + | 0.297310i | ||||
\(369\) | −6.29335 | − | 9.28200i | −0.327619 | − | 0.483202i | ||||
\(370\) | −1.09689 | − | 2.75299i | −0.0570247 | − | 0.143121i | ||||
\(371\) | −0.503157 | + | 0.382490i | −0.0261226 | + | 0.0198579i | ||||
\(372\) | 7.25916 | − | 4.36769i | 0.376370 | − | 0.226454i | ||||
\(373\) | −22.0361 | − | 7.42484i | −1.14099 | − | 0.384443i | −0.315534 | − | 0.948914i | \(-0.602184\pi\) |
−0.825453 | + | 0.564471i | \(0.809080\pi\) | |||||||
\(374\) | 49.8050 | − | 47.1778i | 2.57536 | − | 2.43951i | ||||
\(375\) | 1.87021 | + | 11.4078i | 0.0965774 | + | 0.589096i | ||||
\(376\) | 2.04813 | − | 0.222748i | 0.105624 | − | 0.0114874i | ||||
\(377\) | 21.2969 | + | 12.8139i | 1.09685 | + | 0.659950i | ||||
\(378\) | −1.36903 | − | 1.61175i | −0.0704154 | − | 0.0828994i | ||||
\(379\) | −4.37695 | − | 2.02499i | −0.224829 | − | 0.104017i | 0.304241 | − | 0.952595i | \(-0.401597\pi\) |
−0.529070 | + | 0.848578i | \(0.677459\pi\) | |||||||
\(380\) | 8.46542 | − | 3.91652i | 0.434267 | − | 0.200913i | ||||
\(381\) | −1.45321 | + | 1.71085i | −0.0744503 | + | 0.0876497i | ||||
\(382\) | −41.5900 | + | 14.0133i | −2.12793 | + | 0.716983i | ||||
\(383\) | 12.2773 | − | 23.1575i | 0.627342 | − | 1.18329i | −0.342490 | − | 0.939521i | \(-0.611270\pi\) |
0.969833 | − | 0.243772i | \(-0.0783848\pi\) | |||||||
\(384\) | 9.48361 | − | 17.8880i | 0.483959 | − | 0.912843i | ||||
\(385\) | −6.99067 | + | 2.35543i | −0.356277 | + | 0.120044i | ||||
\(386\) | 28.2284 | − | 33.2331i | 1.43679 | − | 1.69152i | ||||
\(387\) | 0.155254 | − | 0.0718281i | 0.00789200 | − | 0.00365123i | ||||
\(388\) | 2.31432 | + | 1.07072i | 0.117492 | + | 0.0543575i | ||||
\(389\) | −5.50223 | − | 6.47773i | −0.278974 | − | 0.328434i | 0.604773 | − | 0.796398i | \(-0.293264\pi\) |
−0.883748 | + | 0.467964i | \(0.844988\pi\) | |||||||
\(390\) | 16.4709 | + | 9.91019i | 0.834035 | + | 0.501822i | ||||
\(391\) | −34.7569 | + | 3.78004i | −1.75773 | + | 0.191165i | ||||
\(392\) | 3.53217 | + | 21.5453i | 0.178402 | + | 1.08820i | ||||
\(393\) | 5.10566 | − | 4.83633i | 0.257546 | − | 0.243961i | ||||
\(394\) | 3.23231 | + | 1.08909i | 0.162841 | + | 0.0548676i | ||||
\(395\) | 15.0239 | − | 9.03955i | 0.755932 | − | 0.454829i | ||||
\(396\) | −10.6163 | + | 8.07028i | −0.533488 | + | 0.405547i | ||||
\(397\) | −5.29364 | − | 13.2860i | −0.265680 | − | 0.666807i | 0.734247 | − | 0.678882i | \(-0.237535\pi\) |
−0.999927 | + | 0.0120756i | \(0.996156\pi\) | |||||||
\(398\) | −7.66931 | − | 11.3114i | −0.384428 | − | 0.566988i | ||||
\(399\) | −0.180517 | + | 1.10111i | −0.00903717 | + | 0.0551243i | ||||
\(400\) | −0.0258406 | + | 0.476602i | −0.00129203 | + | 0.0238301i | ||||
\(401\) | −2.12678 | + | 0.468140i | −0.106206 | + | 0.0233778i | −0.267756 | − | 0.963487i | \(-0.586282\pi\) |
0.161549 | + | 0.986865i | \(0.448351\pi\) | |||||||
\(402\) | −11.8522 | + | 29.7469i | −0.591136 | + | 1.48364i | ||||
\(403\) | −2.46450 | − | 8.87634i | −0.122766 | − | 0.442162i | ||||
\(404\) | −3.61353 | − | 66.6476i | −0.179780 | − | 3.31584i | ||||
\(405\) | 2.13779 | + | 0.232499i | 0.106228 | + | 0.0115530i | ||||
\(406\) | 10.9818 | + | 8.34813i | 0.545016 | + | 0.414311i | ||||
\(407\) | 0.598068 | − | 2.15405i | 0.0296452 | − | 0.106772i | ||||
\(408\) | −26.4777 | − | 5.82818i | −1.31084 | − | 0.288538i | ||||
\(409\) | −3.17768 | + | 4.68673i | −0.157126 | + | 0.231744i | −0.898101 | − | 0.439789i | \(-0.855053\pi\) |
0.740975 | + | 0.671533i | \(0.234364\pi\) | |||||||
\(410\) | 41.0741 | + | 38.9074i | 2.02850 | + | 1.92150i | ||||
\(411\) | 3.08035 | + | 5.81016i | 0.151942 | + | 0.286594i | ||||
\(412\) | −39.7568 | −1.95868 | ||||||||
\(413\) | 2.10591 | + | 6.59562i | 0.103625 | + | 0.324549i | ||||
\(414\) | 10.6752 | 0.524658 | ||||||||
\(415\) | 11.7612 | + | 22.1840i | 0.577336 | + | 1.08897i | ||||
\(416\) | −11.2784 | − | 10.6835i | −0.552970 | − | 0.523801i | ||||
\(417\) | −12.3400 | + | 18.2001i | −0.604290 | + | 0.891261i | ||||
\(418\) | 10.7941 | + | 2.37596i | 0.527956 | + | 0.116212i | ||||
\(419\) | −3.37777 | + | 12.1656i | −0.165015 | + | 0.594330i | 0.834074 | + | 0.551653i | \(0.186003\pi\) |
−0.999089 | + | 0.0426776i | \(0.986411\pi\) | |||||||
\(420\) | 5.40704 | + | 4.11033i | 0.263837 | + | 0.200563i | ||||
\(421\) | 21.1290 | + | 2.29792i | 1.02977 | + | 0.111994i | 0.607372 | − | 0.794418i | \(-0.292224\pi\) |
0.422395 | + | 0.906412i | \(0.361189\pi\) | |||||||
\(422\) | 2.75865 | + | 50.8802i | 0.134289 | + | 2.47681i | ||||
\(423\) | −0.156202 | − | 0.562587i | −0.00759478 | − | 0.0273539i | ||||
\(424\) | 0.915777 | − | 2.29843i | 0.0444741 | − | 0.111621i | ||||
\(425\) | −2.81982 | + | 0.620690i | −0.136782 | + | 0.0301079i | ||||
\(426\) | 0.365053 | − | 6.73300i | 0.0176869 | − | 0.326215i | ||||
\(427\) | 1.20339 | − | 7.34036i | 0.0582362 | − | 0.355225i | ||||
\(428\) | 38.1729 | + | 56.3008i | 1.84516 | + | 2.72140i | ||||
\(429\) | 5.36727 | + | 13.4708i | 0.259134 | + | 0.650378i | ||||
\(430\) | −0.687042 | + | 0.522276i | −0.0331321 | + | 0.0251864i | ||||
\(431\) | −4.45824 | + | 2.68244i | −0.214746 | + | 0.129208i | −0.618863 | − | 0.785499i | \(-0.712406\pi\) |
0.404117 | + | 0.914707i | \(0.367579\pi\) | |||||||
\(432\) | 1.20366 | + | 0.405562i | 0.0579113 | + | 0.0195126i | ||||
\(433\) | 8.02448 | − | 7.60119i | 0.385632 | − | 0.365290i | −0.470186 | − | 0.882567i | \(-0.655813\pi\) |
0.855818 | + | 0.517278i | \(0.173055\pi\) | |||||||
\(434\) | −0.827162 | − | 5.04547i | −0.0397051 | − | 0.242190i | ||||
\(435\) | −13.9452 | + | 1.51663i | −0.668621 | + | 0.0727169i | ||||
\(436\) | 22.7092 | + | 13.6637i | 1.08757 | + | 0.654371i | ||||
\(437\) | −3.64652 | − | 4.29302i | −0.174437 | − | 0.205363i | ||||
\(438\) | 8.03705 | + | 3.71834i | 0.384025 | + | 0.177669i | ||||
\(439\) | −1.62277 | + | 0.750771i | −0.0774504 | + | 0.0358324i | −0.458232 | − | 0.888833i | \(-0.651517\pi\) |
0.380782 | + | 0.924665i | \(0.375655\pi\) | |||||||
\(440\) | 18.6947 | − | 22.0091i | 0.891236 | − | 1.04924i | ||||
\(441\) | 5.86361 | − | 1.97568i | 0.279220 | − | 0.0940800i | ||||
\(442\) | −32.1715 | + | 60.6820i | −1.53024 | + | 2.88635i | ||||
\(443\) | −6.53555 | + | 12.3274i | −0.310513 | + | 0.585690i | −0.988824 | − | 0.149084i | \(-0.952367\pi\) |
0.678311 | + | 0.734775i | \(0.262712\pi\) | |||||||
\(444\) | −1.95055 | + | 0.657217i | −0.0925691 | + | 0.0311901i | ||||
\(445\) | 18.9199 | − | 22.2742i | 0.896887 | − | 1.05590i | ||||
\(446\) | −58.6156 | + | 27.1185i | −2.77553 | + | 1.28410i | ||||
\(447\) | 15.9292 | + | 7.36964i | 0.753426 | + | 0.348572i | ||||
\(448\) | −7.06424 | − | 8.31666i | −0.333754 | − | 0.392925i | ||||
\(449\) | 31.4181 | + | 18.9036i | 1.48271 | + | 0.892117i | 0.999865 | + | 0.0164113i | \(0.00522410\pi\) |
0.482845 | + | 0.875706i | \(0.339603\pi\) | |||||||
\(450\) | 0.876445 | − | 0.0953192i | 0.0413160 | − | 0.00449339i | ||||
\(451\) | 6.90471 | + | 42.1169i | 0.325130 | + | 1.98321i | ||||
\(452\) | 36.8466 | − | 34.9029i | 1.73312 | − | 1.64170i | ||||
\(453\) | 10.9545 | + | 3.69099i | 0.514686 | + | 0.173418i | ||||
\(454\) | −33.8221 | + | 20.3501i | −1.58735 | + | 0.955075i | ||||
\(455\) | 5.87951 | − | 4.46949i | 0.275636 | − | 0.209533i | ||||
\(456\) | −1.61674 | − | 4.05770i | −0.0757106 | − | 0.190019i | ||||
\(457\) | 5.63148 | + | 8.30582i | 0.263430 | + | 0.388530i | 0.936283 | − | 0.351246i | \(-0.114242\pi\) |
−0.672854 | + | 0.739776i | \(0.734932\pi\) | |||||||
\(458\) | 2.03526 | − | 12.4145i | 0.0951015 | − | 0.580093i | ||||
\(459\) | −0.415975 | + | 7.67221i | −0.0194161 | + | 0.358108i | ||||
\(460\) | −33.4849 | + | 7.37058i | −1.56124 | + | 0.343655i | ||||
\(461\) | 7.81551 | − | 19.6154i | 0.364004 | − | 0.913582i | −0.626910 | − | 0.779091i | \(-0.715681\pi\) |
0.990915 | − | 0.134491i | \(-0.0429399\pi\) | |||||||
\(462\) | 2.15308 | + | 7.75470i | 0.100170 | + | 0.360781i | ||||
\(463\) | −0.576977 | − | 10.6417i | −0.0268144 | − | 0.494563i | −0.980837 | − | 0.194829i | \(-0.937585\pi\) |
0.954023 | − | 0.299734i | \(-0.0968979\pi\) | |||||||
\(464\) | −8.23685 | − | 0.895812i | −0.382386 | − | 0.0415870i | ||||
\(465\) | 4.13898 | + | 3.14637i | 0.191941 | + | 0.145910i | ||||
\(466\) | 5.53317 | − | 19.9287i | 0.256319 | − | 0.923177i | ||||
\(467\) | −1.10216 | − | 0.242604i | −0.0510020 | − | 0.0112264i | 0.189396 | − | 0.981901i | \(-0.439347\pi\) |
−0.240398 | + | 0.970674i | \(0.577278\pi\) | |||||||
\(468\) | 7.49245 | − | 11.0505i | 0.346339 | − | 0.510811i | ||||
\(469\) | 8.93181 | + | 8.46066i | 0.412433 | + | 0.390677i | ||||
\(470\) | 1.37975 | + | 2.60248i | 0.0636430 | + | 0.120044i | ||||
\(471\) | −18.2606 | −0.841406 | ||||||||
\(472\) | −20.3749 | − | 17.8732i | −0.937831 | − | 0.822681i | ||||
\(473\) | −0.651029 | −0.0299344 | ||||||||
\(474\) | −8.96022 | − | 16.9008i | −0.411557 | − | 0.776278i | ||||
\(475\) | −0.337716 | − | 0.319901i | −0.0154955 | − | 0.0146781i | ||||
\(476\) | −13.6189 | + | 20.0864i | −0.624222 | + | 0.920659i | ||||
\(477\) | −0.684787 | − | 0.150733i | −0.0313543 | − | 0.00690160i | ||||
\(478\) | 3.63925 | − | 13.1074i | 0.166455 | − | 0.599518i | ||||
\(479\) | −1.88436 | − | 1.43246i | −0.0860988 | − | 0.0654506i | 0.561239 | − | 0.827654i | \(-0.310325\pi\) |
−0.647338 | + | 0.762203i | \(0.724118\pi\) | |||||||
\(480\) | 8.71628 | + | 0.947953i | 0.397842 | + | 0.0432679i | ||||
\(481\) | 0.121171 | + | 2.23487i | 0.00552492 | + | 0.101901i | ||||
\(482\) | −4.70323 | − | 16.9395i | −0.214226 | − | 0.771574i | ||||
\(483\) | 1.51813 | − | 3.81022i | 0.0690774 | − | 0.173371i | ||||
\(484\) | 11.9218 | − | 2.62419i | 0.541900 | − | 0.119281i | ||||
\(485\) | −0.0847230 | + | 1.56262i | −0.00384708 | + | 0.0709551i | ||||
\(486\) | 0.379551 | − | 2.31516i | 0.0172168 | − | 0.105018i | ||||
\(487\) | 13.2075 | + | 19.4795i | 0.598487 | + | 0.882702i | 0.999442 | − | 0.0333955i | \(-0.0106321\pi\) |
−0.400955 | + | 0.916098i | \(0.631322\pi\) | |||||||
\(488\) | 10.7777 | + | 27.0500i | 0.487885 | + | 1.22450i | ||||
\(489\) | 5.71922 | − | 4.34764i | 0.258632 | − | 0.196607i | ||||
\(490\) | −26.7475 | + | 16.0935i | −1.20833 | + | 0.727028i | ||||
\(491\) | 26.6620 | + | 8.98346i | 1.20324 | + | 0.405418i | 0.848322 | − | 0.529481i | \(-0.177613\pi\) |
0.354915 | + | 0.934898i | \(0.384510\pi\) | |||||||
\(492\) | 28.5283 | − | 27.0234i | 1.28615 | − | 1.21831i | ||||
\(493\) | −8.10863 | − | 49.4604i | −0.365194 | − | 2.22759i | ||||
\(494\) | −11.0006 | + | 1.19638i | −0.494939 | + | 0.0538278i | ||||
\(495\) | −7.01242 | − | 4.21924i | −0.315185 | − | 0.189641i | ||||
\(496\) | 1.98806 | + | 2.34053i | 0.0892666 | + | 0.105093i | ||||
\(497\) | −2.35124 | − | 1.08780i | −0.105468 | − | 0.0487946i | ||||
\(498\) | 24.8618 | − | 11.5023i | 1.11408 | − | 0.515429i | ||||
\(499\) | 12.5114 | − | 14.7295i | 0.560086 | − | 0.659385i | −0.407121 | − | 0.913374i | \(-0.633467\pi\) |
0.967207 | + | 0.253990i | \(0.0817430\pi\) | |||||||
\(500\) | −38.3864 | + | 12.9339i | −1.71669 | + | 0.578421i | ||||
\(501\) | −8.95310 | + | 16.8873i | −0.399995 | + | 0.754470i | ||||
\(502\) | −11.4867 | + | 21.6662i | −0.512677 | + | 0.967011i | ||||
\(503\) | −4.60165 | + | 1.55047i | −0.205177 | + | 0.0691323i | −0.420014 | − | 0.907518i | \(-0.637975\pi\) |
0.214836 | + | 0.976650i | \(0.431078\pi\) | |||||||
\(504\) | 2.05906 | − | 2.42411i | 0.0917178 | − | 0.107979i | ||||
\(505\) | 37.1754 | − | 17.1992i | 1.65428 | − | 0.765354i | ||||
\(506\) | −36.8723 | − | 17.0589i | −1.63917 | − | 0.758362i | ||||
\(507\) | −0.982533 | − | 1.15673i | −0.0436358 | − | 0.0513721i | ||||
\(508\) | −6.73972 | − | 4.05515i | −0.299027 | − | 0.179918i | ||||
\(509\) | −36.4422 | + | 3.96333i | −1.61527 | + | 0.175671i | −0.870681 | − | 0.491849i | \(-0.836321\pi\) |
−0.744592 | + | 0.667520i | \(0.767356\pi\) | |||||||
\(510\) | −6.27116 | − | 38.2524i | −0.277692 | − | 1.69384i | ||||
\(511\) | 2.47012 | − | 2.33982i | 0.109271 | − | 0.103507i | ||||
\(512\) | 13.4020 | + | 4.51566i | 0.592290 | + | 0.199566i | ||||
\(513\) | −1.06069 | + | 0.638195i | −0.0468305 | + | 0.0281770i | ||||
\(514\) | 42.0900 | − | 31.9960i | 1.85651 | − | 1.41128i | ||||
\(515\) | −9.03081 | − | 22.6656i | −0.397945 | − | 0.998766i | ||||
\(516\) | 0.336384 | + | 0.496129i | 0.0148085 | + | 0.0218409i | ||||
\(517\) | −0.359490 | + | 2.19279i | −0.0158103 | + | 0.0964389i | ||||
\(518\) | −0.0672512 | + | 1.24037i | −0.00295485 | + | 0.0544989i | ||||
\(519\) | 5.11672 | − | 1.12627i | 0.224599 | − | 0.0494380i | ||||
\(520\) | −10.7011 | + | 26.8577i | −0.469274 | + | 1.17779i | ||||
\(521\) | −2.86400 | − | 10.3152i | −0.125474 | − | 0.451916i | 0.873944 | − | 0.486026i | \(-0.161554\pi\) |
−0.999418 | + | 0.0341101i | \(0.989140\pi\) | |||||||
\(522\) | 0.828531 | + | 15.2814i | 0.0362638 | + | 0.668847i | ||||
\(523\) | 0.651809 | + | 0.0708885i | 0.0285016 | + | 0.00309974i | 0.122359 | − | 0.992486i | \(-0.460954\pi\) |
−0.0938571 | + | 0.995586i | \(0.529920\pi\) | |||||||
\(524\) | 19.6177 | + | 14.9130i | 0.857005 | + | 0.651478i | ||||
\(525\) | 0.0906186 | − | 0.326379i | 0.00395492 | − | 0.0142443i | ||||
\(526\) | −21.0719 | − | 4.63827i | −0.918778 | − | 0.202238i | ||||
\(527\) | −10.4250 | + | 15.3757i | −0.454121 | + | 0.669778i | ||||
\(528\) | −3.50938 | − | 3.32426i | −0.152726 | − | 0.144670i | ||||
\(529\) | −1.07506 | − | 2.02779i | −0.0467419 | − | 0.0881646i | ||||
\(530\) | 3.53744 | 0.153657 | ||||||||
\(531\) | −4.06441 | + | 6.51771i | −0.176380 | + | 0.282845i | ||||
\(532\) | −3.90982 | −0.169512 | ||||||||
\(533\) | −20.0146 | − | 37.7516i | −0.866931 | − | 1.63520i | ||||
\(534\) | −23.1478 | − | 21.9268i | −1.00170 | − | 0.948863i | ||||
\(535\) | −23.4265 | + | 34.5514i | −1.01281 | + | 1.49379i | ||||
\(536\) | −47.0346 | − | 10.3531i | −2.03159 | − | 0.447186i | ||||
\(537\) | −0.925105 | + | 3.33193i | −0.0399212 | + | 0.143783i | ||||
\(538\) | −26.9776 | − | 20.5078i | −1.16309 | − | 0.884155i | ||||
\(539\) | −23.4101 | − | 2.54600i | −1.00834 | − | 0.109664i | ||||
\(540\) | 0.407940 | + | 7.52401i | 0.0175549 | + | 0.323782i | ||||
\(541\) | 11.0189 | + | 39.6864i | 0.473738 | + | 1.70625i | 0.684760 | + | 0.728768i | \(0.259907\pi\) |
−0.211022 | + | 0.977481i | \(0.567679\pi\) | |||||||
\(542\) | −12.6017 | + | 31.6278i | −0.541288 | + | 1.35853i | ||||
\(543\) | 6.44965 | − | 1.41967i | 0.276781 | − | 0.0609241i | ||||
\(544\) | −1.69603 | + | 31.2814i | −0.0727166 | + | 1.34118i | ||||
\(545\) | −2.63133 | + | 16.0504i | −0.112714 | + | 0.687523i | ||||
\(546\) | −4.52175 | − | 6.66908i | −0.193513 | − | 0.285410i | ||||
\(547\) | 7.05392 | + | 17.7040i | 0.301604 | + | 0.756969i | 0.999181 | + | 0.0404594i | \(0.0128821\pi\) |
−0.697577 | + | 0.716510i | \(0.745739\pi\) | |||||||
\(548\) | −18.3445 | + | 13.9452i | −0.783640 | + | 0.595707i | ||||
\(549\) | 7.07092 | − | 4.25443i | 0.301779 | − | 0.181575i | ||||
\(550\) | −3.17957 | − | 1.07132i | −0.135577 | − | 0.0456813i | ||||
\(551\) | 5.86235 | − | 5.55312i | 0.249745 | − | 0.236571i | ||||
\(552\) | 2.59754 | + | 15.8443i | 0.110559 | + | 0.674378i | ||||
\(553\) | −7.30651 | + | 0.794631i | −0.310704 | + | 0.0337911i | ||||
\(554\) | −1.82145 | − | 1.09593i | −0.0773860 | − | 0.0465616i | ||||
\(555\) | −0.817755 | − | 0.962735i | −0.0347118 | − | 0.0408658i | ||||
\(556\) | −69.9288 | − | 32.3525i | −2.96564 | − | 1.37205i | ||||
\(557\) | 21.5759 | − | 9.98207i | 0.914200 | − | 0.422954i | 0.0943545 | − | 0.995539i | \(-0.469921\pi\) |
0.819846 | + | 0.572585i | \(0.194059\pi\) | |||||||
\(558\) | 3.67210 | − | 4.32313i | 0.155452 | − | 0.183013i | ||||
\(559\) | 0.617672 | − | 0.208118i | 0.0261248 | − | 0.00880246i | ||||
\(560\) | −1.15321 | + | 2.17519i | −0.0487321 | + | 0.0919185i | ||||
\(561\) | 13.6969 | − | 25.8352i | 0.578285 | − | 1.09076i | ||||
\(562\) | −8.96324 | + | 3.02007i | −0.378091 | + | 0.127394i | ||||
\(563\) | 10.9432 | − | 12.8834i | 0.461202 | − | 0.542969i | −0.481570 | − | 0.876408i | \(-0.659933\pi\) |
0.942772 | + | 0.333439i | \(0.108209\pi\) | |||||||
\(564\) | 1.85680 | − | 0.859049i | 0.0781855 | − | 0.0361725i | ||||
\(565\) | 28.2682 | + | 13.0782i | 1.18925 | + | 0.550206i | ||||
\(566\) | −1.93202 | − | 2.27455i | −0.0812090 | − | 0.0956066i | ||||
\(567\) | −0.772357 | − | 0.464712i | −0.0324359 | − | 0.0195161i | ||||
\(568\) | 10.0820 | − | 1.09649i | 0.423033 | − | 0.0460076i | ||||
\(569\) | 5.33330 | + | 32.5317i | 0.223584 | + | 1.36380i | 0.825121 | + | 0.564956i | \(0.191107\pi\) |
−0.601537 | + | 0.798845i | \(0.705445\pi\) | |||||||
\(570\) | 4.53391 | − | 4.29474i | 0.189904 | − | 0.179887i | ||||
\(571\) | −11.0134 | − | 3.71084i | −0.460896 | − | 0.155294i | 0.0792689 | − | 0.996853i | \(-0.474741\pi\) |
−0.540164 | + | 0.841559i | \(0.681638\pi\) | |||||||
\(572\) | −43.5377 | + | 26.1958i | −1.82040 | + | 1.09530i | ||||
\(573\) | −14.8923 | + | 11.3209i | −0.622136 | + | 0.472936i | ||||
\(574\) | −8.77785 | − | 22.0307i | −0.366380 | − | 0.919545i | ||||
\(575\) | 0.959581 | + | 1.41528i | 0.0400173 | + | 0.0590211i | ||||
\(576\) | 1.95849 | − | 11.9463i | 0.0816040 | − | 0.497762i | ||||
\(577\) | 0.667213 | − | 12.3060i | 0.0277764 | − | 0.512306i | −0.951231 | − | 0.308480i | \(-0.900180\pi\) |
0.979007 | − | 0.203826i | \(-0.0653377\pi\) | |||||||
\(578\) | 96.3134 | − | 21.2002i | 4.00611 | − | 0.881811i | ||||
\(579\) | 6.87933 | − | 17.2658i | 0.285895 | − | 0.717543i | ||||
\(580\) | −13.1497 | − | 47.3609i | −0.546011 | − | 1.96655i | ||||
\(581\) | −0.569807 | − | 10.5095i | −0.0236396 | − | 0.436007i | ||||
\(582\) | 1.69731 | + | 0.184593i | 0.0703556 | + | 0.00765163i | ||||
\(583\) | 2.12439 | + | 1.61492i | 0.0879833 | + | 0.0668832i | ||||
\(584\) | −3.56320 | + | 12.8335i | −0.147446 | + | 0.531053i | ||||
\(585\) | 8.00191 | + | 1.76135i | 0.330838 | + | 0.0728230i | ||||
\(586\) | 38.1126 | − | 56.2118i | 1.57442 | − | 2.32209i | ||||
\(587\) | −4.45434 | − | 4.21937i | −0.183850 | − | 0.174152i | 0.590239 | − | 0.807228i | \(-0.299033\pi\) |
−0.774090 | + | 0.633076i | \(0.781792\pi\) | |||||||
\(588\) | 10.1557 | + | 19.1556i | 0.418812 | + | 0.789964i | ||||
\(589\) | −2.99288 | −0.123320 | ||||||||
\(590\) | 12.9569 | − | 36.5209i | 0.533426 | − | 1.50354i | ||||
\(591\) | 1.45386 | 0.0598038 | ||||||||
\(592\) | −0.349479 | − | 0.659187i | −0.0143635 | − | 0.0270924i | ||||
\(593\) | 15.5405 | + | 14.7208i | 0.638173 | + | 0.604510i | 0.936802 | − | 0.349859i | \(-0.113771\pi\) |
−0.298629 | + | 0.954369i | \(0.596529\pi\) | |||||||
\(594\) | −5.01059 | + | 7.39006i | −0.205587 | + | 0.303218i | ||||
\(595\) | −14.5450 | − | 3.20159i | −0.596285 | − | 0.131252i | ||||
\(596\) | −16.4531 | + | 59.2589i | −0.673947 | + | 2.42734i | ||||
\(597\) | −4.63737 | − | 3.52524i | −0.189795 | − | 0.144278i | ||||
\(598\) | 40.4363 | + | 4.39772i | 1.65357 | + | 0.179836i | ||||
\(599\) | −1.14346 | − | 21.0900i | −0.0467207 | − | 0.861713i | −0.924155 | − | 0.382017i | \(-0.875230\pi\) |
0.877435 | − | 0.479696i | \(-0.159253\pi\) | |||||||
\(600\) | 0.354735 | + | 1.27764i | 0.0144820 | + | 0.0521594i | ||||
\(601\) | −12.3424 | + | 30.9772i | −0.503459 | + | 1.26359i | 0.429325 | + | 0.903150i | \(0.358751\pi\) |
−0.932784 | + | 0.360436i | \(0.882628\pi\) | |||||||
\(602\) | 0.353293 | − | 0.0777658i | 0.0143992 | − | 0.00316950i | ||||
\(603\) | −0.738934 | + | 13.6288i | −0.0300917 | + | 0.555009i | ||||
\(604\) | −6.55299 | + | 39.9715i | −0.266637 | + | 1.62642i | ||||
\(605\) | 4.20412 | + | 6.20061i | 0.170922 | + | 0.252091i | ||||
\(606\) | −16.5409 | − | 41.5145i | −0.671927 | − | 1.68641i | ||||
\(607\) | 8.61112 | − | 6.54600i | 0.349515 | − | 0.265694i | −0.415656 | − | 0.909522i | \(-0.636448\pi\) |
0.765170 | + | 0.643828i | \(0.222655\pi\) | |||||||
\(608\) | −4.32467 | + | 2.60207i | −0.175389 | + | 0.105528i | ||||
\(609\) | 5.57209 | + | 1.87745i | 0.225792 | + | 0.0760783i | ||||
\(610\) | −30.2246 | + | 28.6303i | −1.22376 | + | 1.15921i | ||||
\(611\) | −0.359911 | − | 2.19536i | −0.0145604 | − | 0.0888147i | ||||
\(612\) | −26.7653 | + | 2.91090i | −1.08192 | + | 0.117666i | ||||
\(613\) | 10.6522 | + | 6.40919i | 0.430236 | + | 0.258865i | 0.714160 | − | 0.699982i | \(-0.246809\pi\) |
−0.283924 | + | 0.958847i | \(0.591636\pi\) | |||||||
\(614\) | 38.2335 | + | 45.0120i | 1.54298 | + | 1.81653i | ||||
\(615\) | 21.8865 | + | 10.1258i | 0.882549 | + | 0.408310i | ||||
\(616\) | −10.9857 | + | 5.08254i | −0.442628 | + | 0.204781i | ||||
\(617\) | −19.2239 | + | 22.6322i | −0.773927 | + | 0.911137i | −0.997986 | − | 0.0634384i | \(-0.979793\pi\) |
0.224059 | + | 0.974576i | \(0.428069\pi\) | |||||||
\(618\) | −25.2251 | + | 8.49933i | −1.01470 | + | 0.341893i | ||||
\(619\) | 19.1306 | − | 36.0842i | 0.768925 | − | 1.45035i | −0.120234 | − | 0.992746i | \(-0.538364\pi\) |
0.889158 | − | 0.457600i | \(-0.151291\pi\) | |||||||
\(620\) | −8.53340 | + | 16.0957i | −0.342709 | + | 0.646419i | ||||
\(621\) | 4.31207 | − | 1.45290i | 0.173037 | − | 0.0583031i | ||||
\(622\) | 11.1375 | − | 13.1121i | 0.446573 | − | 0.525746i | ||||
\(623\) | −11.1180 | + | 5.14375i | −0.445434 | + | 0.206080i | ||||
\(624\) | 4.39225 | + | 2.03207i | 0.175831 | + | 0.0813480i | ||||
\(625\) | −14.8769 | − | 17.5144i | −0.595074 | − | 0.700575i | ||||
\(626\) | 12.6933 | + | 7.63733i | 0.507328 | + | 0.305249i | ||||
\(627\) | 4.68346 | − | 0.509357i | 0.187039 | − | 0.0203417i | ||||
\(628\) | −10.3517 | − | 63.1428i | −0.413080 | − | 2.51967i | ||||
\(629\) | 3.27667 | − | 3.10383i | 0.130649 | − | 0.123758i | ||||
\(630\) | 4.30941 | + | 1.45201i | 0.171691 | + | 0.0578495i | ||||
\(631\) | 8.69857 | − | 5.23376i | 0.346285 | − | 0.208353i | −0.331776 | − | 0.943358i | \(-0.607648\pi\) |
0.678061 | + | 0.735005i | \(0.262820\pi\) | |||||||
\(632\) | 22.9041 | − | 17.4113i | 0.911077 | − | 0.692583i | ||||
\(633\) | 8.03915 | + | 20.1767i | 0.319527 | + | 0.801953i | ||||
\(634\) | 5.71918 | + | 8.43516i | 0.227138 | + | 0.335003i | ||||
\(635\) | 0.780935 | − | 4.76349i | 0.0309905 | − | 0.189033i | ||||
\(636\) | 0.133017 | − | 2.45335i | 0.00527446 | − | 0.0972818i | ||||
\(637\) | 23.0245 | − | 5.06808i | 0.912264 | − | 0.200805i | ||||
\(638\) | 21.5578 | − | 54.1059i | 0.853480 | − | 2.14207i | ||||
\(639\) | −0.768910 | − | 2.76936i | −0.0304176 | − | 0.109554i | ||||
\(640\) | 2.35710 | + | 43.4741i | 0.0931725 | + | 1.71847i | ||||
\(641\) | 24.4210 | + | 2.65594i | 0.964570 | + | 0.104903i | 0.576829 | − | 0.816865i | \(-0.304290\pi\) |
0.387741 | + | 0.921768i | \(0.373255\pi\) | |||||||
\(642\) | 36.2563 | + | 27.5614i | 1.43092 | + | 1.08776i | ||||
\(643\) | −1.03170 | + | 3.71585i | −0.0406863 | + | 0.146539i | −0.981103 | − | 0.193484i | \(-0.938021\pi\) |
0.940417 | + | 0.340023i | \(0.110435\pi\) | |||||||
\(644\) | 14.0359 | + | 3.08953i | 0.553090 | + | 0.121744i | ||||
\(645\) | −0.206437 | + | 0.304471i | −0.00812843 | + | 0.0119885i | ||||
\(646\) | 16.1999 | + | 15.3453i | 0.637376 | + | 0.603754i | ||||
\(647\) | 15.9551 | + | 30.0945i | 0.627259 | + | 1.18314i | 0.969862 | + | 0.243656i | \(0.0783467\pi\) |
−0.342603 | + | 0.939480i | \(0.611308\pi\) | |||||||
\(648\) | 3.52855 | 0.138614 | ||||||||
\(649\) | 24.4538 | − | 16.0173i | 0.959894 | − | 0.628735i | ||||
\(650\) | 3.35913 | 0.131756 | ||||||||
\(651\) | −1.02081 | − | 1.92545i | −0.0400087 | − | 0.0754644i | ||||
\(652\) | 18.2757 | + | 17.3117i | 0.715733 | + | 0.677978i | ||||
\(653\) | −20.2773 | + | 29.9068i | −0.793514 | + | 1.17035i | 0.188600 | + | 0.982054i | \(0.439605\pi\) |
−0.982113 | + | 0.188291i | \(0.939705\pi\) | |||||||
\(654\) | 17.3297 | + | 3.81456i | 0.677646 | + | 0.149161i | ||||
\(655\) | −4.04582 | + | 14.5717i | −0.158083 | + | 0.569364i | ||||
\(656\) | 11.3395 | + | 8.62007i | 0.442733 | + | 0.336557i | ||||
\(657\) | 3.75250 | + | 0.408109i | 0.146399 | + | 0.0159218i | ||||
\(658\) | −0.0668460 | − | 1.23290i | −0.00260593 | − | 0.0480635i | ||||
\(659\) | 9.27021 | + | 33.3883i | 0.361116 | + | 1.30062i | 0.891560 | + | 0.452903i | \(0.149612\pi\) |
−0.530444 | + | 0.847720i | \(0.677975\pi\) | |||||||
\(660\) | 10.6143 | − | 26.6399i | 0.413161 | − | 1.03696i | ||||
\(661\) | 31.6566 | − | 6.96814i | 1.23130 | − | 0.271029i | 0.448772 | − | 0.893646i | \(-0.351861\pi\) |
0.782527 | + | 0.622617i | \(0.213930\pi\) | |||||||
\(662\) | 0.385572 | − | 7.11146i | 0.0149857 | − | 0.276395i | ||||
\(663\) | −4.73628 | + | 28.8900i | −0.183942 | + | 1.12200i | ||||
\(664\) | 23.1213 | + | 34.1014i | 0.897281 | + | 1.32339i | ||||
\(665\) | −0.888120 | − | 2.22901i | −0.0344398 | − | 0.0864374i | ||||
\(666\) | −1.09710 | + | 0.833991i | −0.0425116 | + | 0.0323165i | ||||
\(667\) | −25.4333 | + | 15.3027i | −0.984783 | + | 0.592524i | ||||
\(668\) | −63.4696 | − | 21.3854i | −2.45571 | − | 0.827425i | ||||
\(669\) | −19.9859 | + | 18.9317i | −0.772701 | + | 0.731941i | ||||
\(670\) | −11.1400 | − | 67.9511i | −0.430376 | − | 2.62518i | ||||
\(671\) | −31.2216 | + | 3.39555i | −1.20529 | + | 0.131084i | ||||
\(672\) | −3.14908 | − | 1.89474i | −0.121478 | − | 0.0730911i | ||||
\(673\) | −6.59908 | − | 7.76904i | −0.254376 | − | 0.299475i | 0.620120 | − | 0.784507i | \(-0.287084\pi\) |
−0.874496 | + | 0.485032i | \(0.838808\pi\) | |||||||
\(674\) | −49.3617 | − | 22.8371i | −1.90134 | − | 0.879654i | ||||
\(675\) | 0.341052 | − | 0.157787i | 0.0131271 | − | 0.00607324i | ||||
\(676\) | 3.44282 | − | 4.05321i | 0.132416 | − | 0.155893i | ||||
\(677\) | 24.5346 | − | 8.26668i | 0.942942 | − | 0.317714i | 0.194491 | − | 0.980904i | \(-0.437694\pi\) |
0.748451 | + | 0.663190i | \(0.230798\pi\) | |||||||
\(678\) | 15.9170 | − | 30.0226i | 0.611288 | − | 1.15301i | ||||
\(679\) | 0.307261 | − | 0.579555i | 0.0117916 | − | 0.0222413i | ||||
\(680\) | 55.2488 | − | 18.6155i | 2.11869 | − | 0.713871i | ||||
\(681\) | −10.8922 | + | 12.8233i | −0.417389 | + | 0.491389i | ||||
\(682\) | −19.5918 | + | 9.06413i | −0.750209 | + | 0.347084i | ||||
\(683\) | −22.8683 | − | 10.5800i | −0.875032 | − | 0.404833i | −0.0696378 | − | 0.997572i | \(-0.522184\pi\) |
−0.805394 | + | 0.592739i | \(0.798046\pi\) | |||||||
\(684\) | −2.80809 | − | 3.30593i | −0.107370 | − | 0.126406i | ||||
\(685\) | −12.1172 | − | 7.29069i | −0.462975 | − | 0.278563i | ||||
\(686\) | 27.7242 | − | 3.01519i | 1.05852 | − | 0.115120i | ||||
\(687\) | −0.867520 | − | 5.29164i | −0.0330980 | − | 0.201889i | ||||
\(688\) | −0.157743 | + | 0.149422i | −0.00601389 | + | 0.00569666i | ||||
\(689\) | −2.53179 | − | 0.853060i | −0.0964536 | − | 0.0324990i | ||||
\(690\) | −19.6700 | + | 11.8350i | −0.748823 | + | 0.450552i | ||||
\(691\) | 8.74328 | − | 6.64647i | 0.332610 | − | 0.252844i | −0.425517 | − | 0.904950i | \(-0.639908\pi\) |
0.758127 | + | 0.652107i | \(0.226115\pi\) | |||||||
\(692\) | 6.79512 | + | 17.0545i | 0.258312 | + | 0.648313i | ||||
\(693\) | 1.92512 | + | 2.83934i | 0.0731293 | + | 0.107858i | ||||
\(694\) | 7.43534 | − | 45.3536i | 0.282242 | − | 1.72160i | ||||
\(695\) | 2.55997 | − | 47.2158i | 0.0971051 | − | 1.79100i | ||||
\(696\) | −22.4792 | + | 4.94804i | −0.852072 | + | 0.187555i | ||||
\(697\) | −31.8931 | + | 80.0456i | −1.20804 | + | 3.03194i | ||||
\(698\) | 15.4311 | + | 55.5777i | 0.584074 | + | 2.10365i | ||||
\(699\) | −0.477280 | − | 8.80291i | −0.0180524 | − | 0.332957i | ||||
\(700\) | 1.17994 | + | 0.128327i | 0.0445977 | + | 0.00485029i | ||||
\(701\) | −4.42420 | − | 3.36319i | −0.167100 | − | 0.127026i | 0.518282 | − | 0.855210i | \(-0.326572\pi\) |
−0.685382 | + | 0.728184i | \(0.740365\pi\) | |||||||
\(702\) | 2.39144 | − | 8.61318i | 0.0902590 | − | 0.325083i | ||||
\(703\) | 0.710143 | + | 0.156314i | 0.0267835 | + | 0.00589550i | ||||
\(704\) | −25.8548 | + | 38.1329i | −0.974438 | + | 1.43719i | ||||
\(705\) | 0.911525 | + | 0.863443i | 0.0343300 | + | 0.0325191i | ||||
\(706\) | −6.14353 | − | 11.5879i | −0.231215 | − | 0.436117i | ||||
\(707\) | −17.1697 | −0.645735 | ||||||||
\(708\) | −24.8415 | − | 10.3594i | −0.933599 | − | 0.389329i | ||||
\(709\) | 15.3496 | 0.576467 | 0.288233 | − | 0.957560i | \(-0.406932\pi\) | ||||
0.288233 | + | 0.957560i | \(0.406932\pi\) | |||||||
\(710\) | 6.79188 | + | 12.8108i | 0.254895 | + | 0.480782i | ||||
\(711\) | −5.91954 | − | 5.60728i | −0.222000 | − | 0.210290i | ||||
\(712\) | 26.9116 | − | 39.6916i | 1.00855 | − | 1.48751i | ||||
\(713\) | 10.7442 | + | 2.36497i | 0.402372 | + | 0.0885688i | ||||
\(714\) | −4.34688 | + | 15.6561i | −0.162678 | + | 0.585913i | ||||
\(715\) | −24.8240 | − | 18.8707i | −0.928366 | − | 0.705726i | ||||
\(716\) | −12.0458 | − | 1.31006i | −0.450172 | − | 0.0489592i | ||||
\(717\) | −0.313914 | − | 5.78981i | −0.0117233 | − | 0.216224i | ||||
\(718\) | −13.6180 | − | 49.0476i | −0.508219 | − | 1.83044i | ||||
\(719\) | 5.63117 | − | 14.1332i | 0.210007 | − | 0.527078i | −0.785808 | − | 0.618471i | \(-0.787753\pi\) |
0.995815 | + | 0.0913927i | \(0.0291319\pi\) | |||||||
\(720\) | −2.66748 | + | 0.587156i | −0.0994110 | + | 0.0218820i | ||||
\(721\) | −0.553685 | + | 10.2121i | −0.0206203 | + | 0.380319i | ||||
\(722\) | 6.62987 | − | 40.4404i | 0.246738 | − | 1.50504i | ||||
\(723\) | −4.20527 | − | 6.20231i | −0.156396 | − | 0.230666i | ||||
\(724\) | 8.56527 | + | 21.4972i | 0.318326 | + | 0.798938i | ||||
\(725\) | −1.95146 | + | 1.48346i | −0.0724756 | + | 0.0550945i | ||||
\(726\) | 7.00321 | − | 4.21369i | 0.259913 | − | 0.156385i | ||||
\(727\) | 1.26574 | + | 0.426479i | 0.0469438 | + | 0.0158172i | 0.342675 | − | 0.939454i | \(-0.388667\pi\) |
−0.295732 | + | 0.955271i | \(0.595563\pi\) | |||||||
\(728\) | 8.79809 | − | 8.33399i | 0.326079 | − | 0.308878i | ||||
\(729\) | −0.161782 | − | 0.986827i | −0.00599193 | − | 0.0365491i | ||||
\(730\) | −18.9313 | + | 2.05890i | −0.700678 | + | 0.0762033i | ||||
\(731\) | −1.12623 | − | 0.677629i | −0.0416551 | − | 0.0250630i | ||||
\(732\) | 18.7197 | + | 22.0385i | 0.691899 | + | 0.814566i | ||||
\(733\) | −17.9453 | − | 8.30238i | −0.662824 | − | 0.306655i | 0.0594810 | − | 0.998229i | \(-0.481055\pi\) |
−0.722305 | + | 0.691574i | \(0.756918\pi\) | |||||||
\(734\) | 35.8686 | − | 16.5946i | 1.32394 | − | 0.612518i | ||||
\(735\) | −8.61387 | + | 10.1410i | −0.317727 | + | 0.374058i | ||||
\(736\) | 17.5813 | − | 5.92383i | 0.648056 | − | 0.218355i | ||||
\(737\) | 24.3311 | − | 45.8933i | 0.896247 | − | 1.69050i | ||||
\(738\) | 12.3237 | − | 23.2449i | 0.453640 | − | 0.855656i | ||||
\(739\) | −41.7655 | + | 14.0724i | −1.53637 | + | 0.517663i | −0.955160 | − | 0.296092i | \(-0.904317\pi\) |
−0.581209 | + | 0.813754i | \(0.697420\pi\) | |||||||
\(740\) | 2.86543 | − | 3.37345i | 0.105335 | − | 0.124010i | ||||
\(741\) | −4.28066 | + | 1.98044i | −0.157254 | + | 0.0727534i | ||||
\(742\) | −1.34574 | − | 0.622608i | −0.0494038 | − | 0.0228566i | ||||
\(743\) | −10.2262 | − | 12.0392i | −0.375162 | − | 0.441674i | 0.541886 | − | 0.840452i | \(-0.317710\pi\) |
−0.917048 | + | 0.398778i | \(0.869435\pi\) | |||||||
\(744\) | 7.30996 | + | 4.39826i | 0.267996 | + | 0.161248i | ||||
\(745\) | −37.5212 | + | 4.08068i | −1.37467 | + | 0.149505i | ||||
\(746\) | −8.82585 | − | 53.8353i | −0.323137 | − | 1.97105i | ||||
\(747\) | 8.47701 | − | 8.02985i | 0.310158 | − | 0.293797i | ||||
\(748\) | 97.0992 | + | 32.7165i | 3.55030 | + | 1.19623i | ||||
\(749\) | 14.9933 | − | 9.02118i | 0.547844 | − | 0.329627i | ||||
\(750\) | −21.5906 | + | 16.4128i | −0.788378 | + | 0.599309i | ||||
\(751\) | −4.88826 | − | 12.2686i | −0.178375 | − | 0.447688i | 0.812417 | − | 0.583076i | \(-0.198151\pi\) |
−0.990793 | + | 0.135388i | \(0.956772\pi\) | |||||||
\(752\) | 0.416178 | + | 0.613817i | 0.0151765 | + | 0.0223836i | ||||
\(753\) | −1.69107 | + | 10.3151i | −0.0616259 | + | 0.375901i | ||||
\(754\) | −3.15688 | + | 58.2251i | −0.114967 | + | 2.12043i | ||||
\(755\) | −24.2765 | + | 5.34367i | −0.883514 | + | 0.194476i | ||||
\(756\) | 1.16907 | − | 2.93415i | 0.0425187 | − | 0.106714i | ||||
\(757\) | −6.12203 | − | 22.0496i | −0.222509 | − | 0.801405i | −0.987534 | − | 0.157404i | \(-0.949687\pi\) |
0.765025 | − | 0.644000i | \(-0.222726\pi\) | |||||||
\(758\) | −0.612546 | − | 11.2977i | −0.0222487 | − | 0.410352i | ||||
\(759\) | −17.2157 | − | 1.87231i | −0.624889 | − | 0.0679607i | ||||
\(760\) | 7.47753 | + | 5.68427i | 0.271239 | + | 0.206190i | ||||
\(761\) | 0.250231 | − | 0.901250i | 0.00907086 | − | 0.0326703i | −0.958876 | − | 0.283825i | \(-0.908397\pi\) |
0.967947 | + | 0.251155i | \(0.0808103\pi\) | |||||||
\(762\) | −5.14318 | − | 1.13210i | −0.186318 | − | 0.0410116i | ||||
\(763\) | 3.82598 | − | 5.64290i | 0.138510 | − | 0.204287i | ||||
\(764\) | −47.5883 | − | 45.0781i | −1.72169 | − | 1.63087i | ||||
\(765\) | −7.73930 | − | 14.5979i | −0.279815 | − | 0.527787i | ||||
\(766\) | 61.4921 | 2.22180 | ||||||||
\(767\) | −18.0805 | + | 23.0139i | −0.652848 | + | 0.830984i | ||||
\(768\) | 23.2880 | 0.840334 | ||||||||
\(769\) | 8.04327 | + | 15.1712i | 0.290048 | + | 0.547088i | 0.985123 | − | 0.171849i | \(-0.0549740\pi\) |
−0.695076 | + | 0.718936i | \(0.744629\pi\) | |||||||
\(770\) | −12.5644 | − | 11.9017i | −0.452791 | − | 0.428907i | ||||
\(771\) | 12.6468 | − | 18.6527i | 0.455465 | − | 0.671761i | ||||
\(772\) | 63.6028 | + | 14.0000i | 2.28911 | + | 0.503872i | ||||
\(773\) | −11.2386 | + | 40.4777i | −0.404224 | + | 1.45588i | 0.429180 | + | 0.903219i | \(0.358802\pi\) |
−0.833404 | + | 0.552664i | \(0.813611\pi\) | |||||||
\(774\) | 0.319495 | + | 0.242874i | 0.0114840 | + | 0.00872992i | ||||
\(775\) | 0.903223 | + | 0.0982315i | 0.0324447 | + | 0.00352858i | ||||
\(776\) | 0.139020 | + | 2.56408i | 0.00499054 | + | 0.0920451i | ||||
\(777\) | 0.141651 | + | 0.510181i | 0.00508170 | + | 0.0183026i | ||||
\(778\) | 7.38039 | − | 18.5234i | 0.264600 | − | 0.664096i | ||||
\(779\) | −13.5575 | + | 2.98423i | −0.485748 | + | 0.106921i | ||||
\(780\) | −1.55434 | + | 28.6680i | −0.0556541 | + | 1.02648i | ||||
\(781\) | −1.76961 | + | 10.7941i | −0.0633215 | + | 0.386244i | ||||
\(782\) | −46.0301 | − | 67.8894i | −1.64603 | − | 2.42772i | ||||
\(783\) | 2.41448 | + | 6.05988i | 0.0862863 | + | 0.216562i | ||||
\(784\) | −6.25656 | + | 4.75611i | −0.223448 | + | 0.169861i | ||||
\(785\) | 33.6468 | − | 20.2446i | 1.20090 | − | 0.722560i | ||||
\(786\) | 15.6353 | + | 5.26816i | 0.557694 | + | 0.187909i | ||||
\(787\) | −19.6862 | + | 18.6478i | −0.701737 | + | 0.664721i | −0.952921 | − | 0.303219i | \(-0.901939\pi\) |
0.251184 | + | 0.967939i | \(0.419180\pi\) | |||||||
\(788\) | 0.824177 | + | 5.02726i | 0.0293601 | + | 0.179089i | ||||
\(789\) | −9.14290 | + | 0.994350i | −0.325496 | + | 0.0353998i | ||||
\(790\) | 35.2470 | + | 21.2074i | 1.25403 | + | 0.754525i | ||||
\(791\) | −8.45218 | − | 9.95068i | −0.300525 | − | 0.353805i | ||||
\(792\) | −12.1876 | − | 5.63860i | −0.433069 | − | 0.200359i | ||||
\(793\) | 28.5364 | − | 13.2023i | 1.01336 | − | 0.468829i | ||||
\(794\) | 21.7217 | − | 25.5728i | 0.770875 | − | 0.907544i | ||||
\(795\) | 1.42889 | − | 0.481449i | 0.0506775 | − | 0.0170752i | ||||
\(796\) | 9.56094 | − | 18.0338i | 0.338878 | − | 0.639192i | ||||
\(797\) | 15.0518 | − | 28.3907i | 0.533162 | − | 1.00565i | −0.459890 | − | 0.887976i | \(-0.652111\pi\) |
0.993052 | − | 0.117675i | \(-0.0375440\pi\) | |||||||
\(798\) | −2.48072 | + | 0.835853i | −0.0878167 | + | 0.0295889i | ||||
\(799\) | −2.90427 | + | 3.41917i | −0.102746 | + | 0.120962i | ||||
\(800\) | 1.39055 | − | 0.643336i | 0.0491633 | − | 0.0227454i | ||||
\(801\) | −12.3344 | − | 5.70650i | −0.435815 | − | 0.201629i | ||||
\(802\) | −3.30751 | − | 3.89390i | −0.116792 | − | 0.137498i | ||||
\(803\) | −12.3090 | − | 7.40608i | −0.434375 | − | 0.261355i | ||||
\(804\) | −47.5456 | + | 5.17089i | −1.67680 | + | 0.182363i | ||||
\(805\) | 1.42690 | + | 8.70373i | 0.0502918 | + | 0.306766i | ||||
\(806\) | 15.6904 | − | 14.8627i | 0.552670 | − | 0.523517i | ||||
\(807\) | −13.6883 | − | 4.61211i | −0.481850 | − | 0.162354i | ||||
\(808\) | 57.5915 | − | 34.6517i | 2.02606 | − | 1.21904i | ||||
\(809\) | −12.3204 | + | 9.36572i | −0.433162 | + | 0.329281i | −0.798929 | − | 0.601425i | \(-0.794600\pi\) |
0.365767 | + | 0.930706i | \(0.380807\pi\) | |||||||
\(810\) | 1.86734 | + | 4.68667i | 0.0656116 | + | 0.164673i | ||||
\(811\) | 18.3020 | + | 26.9935i | 0.642671 | + | 0.947869i | 0.999904 | + | 0.0138537i | \(0.00440990\pi\) |
−0.357233 | + | 0.934015i | \(0.616280\pi\) | |||||||
\(812\) | −3.33324 | + | 20.3318i | −0.116974 | + | 0.713508i | ||||
\(813\) | −0.785657 | + | 14.4906i | −0.0275542 | + | 0.508207i | ||||
\(814\) | 5.12209 | − | 1.12746i | 0.179529 | − | 0.0395174i | ||||
\(815\) | −5.71816 | + | 14.3515i | −0.200298 | + | 0.502711i | ||||
\(816\) | −2.61086 | − | 9.40347i | −0.0913984 | − | 0.329187i | ||||
\(817\) | −0.0114643 | − | 0.211447i | −0.000401086 | − | 0.00739760i | ||||
\(818\) | −13.2066 | − | 1.43630i | −0.461757 | − | 0.0502191i | ||||
\(819\) | −2.73415 | − | 2.07845i | −0.0955389 | − | 0.0726268i | ||||
\(820\) | −22.6064 | + | 81.4208i | −0.789449 | + | 2.84334i | ||||
\(821\) | 21.2925 | + | 4.68684i | 0.743114 | + | 0.163572i | 0.570362 | − | 0.821393i | \(-0.306803\pi\) |
0.172752 | + | 0.984965i | \(0.444734\pi\) | |||||||
\(822\) | −8.65812 | + | 12.7698i | −0.301986 | + | 0.445397i | ||||
\(823\) | 27.0656 | + | 25.6379i | 0.943448 | + | 0.893681i | 0.994471 | − | 0.105016i | \(-0.0334894\pi\) |
−0.0510225 | + | 0.998698i | \(0.516248\pi\) | |||||||
\(824\) | −18.7527 | − | 35.3714i | −0.653282 | − | 1.23222i | ||||
\(825\) | −1.43014 | −0.0497911 | ||||||||
\(826\) | −11.3570 | + | 11.6131i | −0.395161 | + | 0.404072i | ||||
\(827\) | 51.9381 | 1.80606 | 0.903032 | − | 0.429573i | \(-0.141336\pi\) | ||||
0.903032 | + | 0.429573i | \(0.141336\pi\) | |||||||
\(828\) | 7.46841 | + | 14.0869i | 0.259545 | + | 0.489554i | ||||
\(829\) | −28.8597 | − | 27.3374i | −1.00234 | − | 0.949467i | −0.00361700 | − | 0.999993i | \(-0.501151\pi\) |
−0.998723 | + | 0.0505269i | \(0.983910\pi\) | |||||||
\(830\) | −33.0580 | + | 48.7568i | −1.14746 | + | 1.69237i | ||||
\(831\) | −0.884900 | − | 0.194781i | −0.0306968 | − | 0.00675689i | ||||
\(832\) | 12.3399 | − | 44.4442i | 0.427808 | − | 1.54083i | ||||
\(833\) | −37.8476 | − | 28.7710i | −1.31134 | − | 0.996855i | ||||
\(834\) | −51.2853 | − | 5.57761i | −1.77586 | − | 0.193137i | ||||
\(835\) | −2.22524 | − | 41.0422i | −0.0770077 | − | 1.42032i | ||||
\(836\) | 4.41629 | + | 15.9060i | 0.152740 | + | 0.550121i | ||||
\(837\) | 0.894900 | − | 2.24603i | 0.0309323 | − | 0.0776341i | ||||
\(838\) | −28.9286 | + | 6.36766i | −0.999321 | + | 0.219967i | ||||
\(839\) | −1.35295 | + | 24.9536i | −0.0467089 | + | 0.861494i | 0.877493 | + | 0.479590i | \(0.159215\pi\) |
−0.924202 | + | 0.381905i | \(0.875268\pi\) | |||||||
\(840\) | −1.10651 | + | 6.74940i | −0.0381782 | + | 0.232877i | ||||
\(841\) | −7.60509 | − | 11.2167i | −0.262244 | − | 0.386781i | ||||
\(842\) | 18.4560 | + | 46.3211i | 0.636036 | + | 1.59633i | ||||
\(843\) | −3.20951 | + | 2.43981i | −0.110541 | + | 0.0840314i | ||||
\(844\) | −65.2112 | + | 39.2363i | −2.24466 | + | 1.35057i | ||||
\(845\) | 3.09280 | + | 1.04209i | 0.106396 | + | 0.0358489i | ||||
\(846\) | 0.994466 | − | 0.942008i | 0.0341905 | − | 0.0323869i | ||||
\(847\) | −0.508028 | − | 3.09884i | −0.0174561 | − | 0.106477i | ||||
\(848\) | 0.885386 | − | 0.0962915i | 0.0304043 | − | 0.00330666i | ||||
\(849\) | −1.08998 | − | 0.655817i | −0.0374079 | − | 0.0225076i | ||||
\(850\) | −4.38530 | − | 5.16278i | −0.150415 | − | 0.177082i | ||||
\(851\) | −2.42582 | − | 1.12231i | −0.0831562 | − | 0.0384721i | ||||
\(852\) | 9.14020 | − | 4.22871i | 0.313138 | − | 0.144873i | ||||
\(853\) | 2.30039 | − | 2.70823i | 0.0787640 | − | 0.0927282i | −0.721369 | − | 0.692551i | \(-0.756487\pi\) |
0.800133 | + | 0.599823i | \(0.204762\pi\) | |||||||
\(854\) | 16.5374 | − | 5.57209i | 0.565897 | − | 0.190673i | ||||
\(855\) | 1.24688 | − | 2.35186i | 0.0426422 | − | 0.0804318i | ||||
\(856\) | −32.0849 | + | 60.5185i | −1.09664 | + | 2.06848i | ||||
\(857\) | 19.6883 | − | 6.63377i | 0.672540 | − | 0.226605i | 0.0377472 | − | 0.999287i | \(-0.487982\pi\) |
0.634793 | + | 0.772682i | \(0.281085\pi\) | |||||||
\(858\) | −22.0239 | + | 25.9285i | −0.751882 | + | 0.885184i | ||||
\(859\) | 25.3669 | − | 11.7360i | 0.865509 | − | 0.400427i | 0.0636727 | − | 0.997971i | \(-0.479719\pi\) |
0.801836 | + | 0.597544i | \(0.203857\pi\) | |||||||
\(860\) | −1.16985 | − | 0.541229i | −0.0398915 | − | 0.0184558i | ||||
\(861\) | −6.54406 | − | 7.70427i | −0.223021 | − | 0.262561i | ||||
\(862\) | −10.4593 | − | 6.29317i | −0.356246 | − | 0.214346i | ||||
\(863\) | 26.3642 | − | 2.86728i | 0.897448 | − | 0.0976034i | 0.352245 | − | 0.935908i | \(-0.385418\pi\) |
0.545203 | + | 0.838304i | \(0.316453\pi\) | |||||||
\(864\) | −0.659623 | − | 4.02352i | −0.0224408 | − | 0.136883i | ||||
\(865\) | −8.17935 | + | 7.74789i | −0.278106 | + | 0.263436i | ||||
\(866\) | 24.5738 | + | 8.27988i | 0.835052 | + | 0.281362i | ||||
\(867\) | 36.0188 | − | 21.6718i | 1.22326 | − | 0.736012i | ||||
\(868\) | 6.07927 | − | 4.62134i | 0.206344 | − | 0.156859i | ||||
\(869\) | 11.4857 | + | 28.8270i | 0.389626 | + | 0.977889i | ||||
\(870\) | −18.4683 | − | 27.2386i | −0.626133 | − | 0.923476i | ||||
\(871\) | −8.41347 | + | 51.3199i | −0.285079 | + | 1.73891i | ||||
\(872\) | −1.44488 | + | 26.6492i | −0.0489298 | + | 0.902456i | ||||
\(873\) | 0.710720 | − | 0.156441i | 0.0240542 | − | 0.00529474i | ||||
\(874\) | 4.89125 | − | 12.2761i | 0.165449 | − | 0.415245i | ||||
\(875\) | 2.78766 | + | 10.0403i | 0.0942402 | + | 0.339422i | ||||
\(876\) | 0.716062 | + | 13.2070i | 0.0241935 | + | 0.446223i | ||||
\(877\) | 24.8855 | + | 2.70646i | 0.840325 | + | 0.0913908i | 0.518150 | − | 0.855290i | \(-0.326621\pi\) |
0.322174 | + | 0.946680i | \(0.395586\pi\) | |||||||
\(878\) | −3.33947 | − | 2.53860i | −0.112702 | − | 0.0856735i | ||||
\(879\) | 7.74444 | − | 27.8930i | 0.261214 | − | 0.940806i | ||||
\(880\) | 10.1518 | + | 2.23457i | 0.342216 | + | 0.0753274i | ||||
\(881\) | −17.5876 | + | 25.9398i | −0.592541 | + | 0.873933i | −0.999214 | − | 0.0396410i | \(-0.987379\pi\) |
0.406673 | + | 0.913574i | \(0.366689\pi\) | |||||||
\(882\) | 10.5388 | + | 9.98285i | 0.354859 | + | 0.336140i | ||||
\(883\) | −16.3581 | − | 30.8546i | −0.550492 | − | 1.03834i | −0.990128 | − | 0.140163i | \(-0.955237\pi\) |
0.439636 | − | 0.898176i | \(-0.355107\pi\) | |||||||
\(884\) | −102.583 | −3.45023 | ||||||||
\(885\) | 0.263178 | − | 16.5154i | 0.00884664 | − | 0.555160i | ||||
\(886\) | −32.7339 | −1.09972 | ||||||||
\(887\) | −24.1229 | − | 45.5006i | −0.809967 | − | 1.52776i | −0.848921 | − | 0.528520i | \(-0.822747\pi\) |
0.0389537 | − | 0.999241i | \(-0.487598\pi\) | |||||||
\(888\) | −1.50477 | − | 1.42539i | −0.0504968 | − | 0.0478331i | ||||
\(889\) | −1.13549 | + | 1.67472i | −0.0380831 | + | 0.0561683i | ||||
\(890\) | 66.9608 | + | 14.7392i | 2.24453 | + | 0.494059i | ||||
\(891\) | −1.01815 | + | 3.66703i | −0.0341092 | + | 0.122850i | ||||
\(892\) | −76.7930 | − | 58.3765i | −2.57122 | − | 1.95459i | ||||
\(893\) | −0.718525 | − | 0.0781443i | −0.0240445 | − | 0.00261500i | ||||
\(894\) | 2.22926 | + | 41.1163i | 0.0745577 | + | 1.37514i | ||||
\(895\) | −1.98934 | − | 7.16497i | −0.0664964 | − | 0.239499i | ||||
\(896\) | 6.75496 | − | 16.9537i | 0.225667 | − | 0.566382i | ||||
\(897\) | 16.9321 | − | 3.72704i | 0.565346 | − | 0.124442i | ||||
\(898\) | −4.65716 | + | 85.8962i | −0.155411 | + | 2.86639i | ||||
\(899\) | −2.55152 | + | 15.5636i | −0.0850981 | + | 0.519075i | ||||
\(900\) | 0.738946 | + | 1.08986i | 0.0246315 | + | 0.0363288i | ||||
\(901\) | 1.99412 | + | 5.00487i | 0.0664339 | + | 0.166736i | ||||
\(902\) | −79.7112 | + | 60.5949i | −2.65409 | + | 2.01759i | ||||
\(903\) | 0.132123 | − | 0.0794957i | 0.00439677 | − | 0.00264545i | ||||
\(904\) | 48.4330 | + | 16.3190i | 1.61086 | + | 0.542761i | ||||
\(905\) | −10.3101 | + | 9.76625i | −0.342719 | + | 0.324641i | ||||
\(906\) | 4.38745 | + | 26.7623i | 0.145763 | + | 0.889117i | ||||
\(907\) | 47.4509 | − | 5.16060i | 1.57558 | − | 0.171355i | 0.721843 | − | 0.692056i | \(-0.243295\pi\) |
0.853739 | + | 0.520701i | \(0.174330\pi\) | |||||||
\(908\) | −50.5158 | − | 30.3943i | −1.67643 | − | 1.00867i | ||||
\(909\) | −12.3316 | − | 14.5178i | −0.409012 | − | 0.481526i | ||||
\(910\) | 15.7254 | + | 7.27532i | 0.521290 | + | 0.241175i | ||||
\(911\) | 0.225528 | − | 0.104340i | 0.00747208 | − | 0.00345695i | −0.416150 | − | 0.909296i | \(-0.636621\pi\) |
0.423622 | + | 0.905839i | \(0.360759\pi\) | |||||||
\(912\) | 1.01788 | − | 1.19835i | 0.0337055 | − | 0.0396812i | ||||
\(913\) | −42.1113 | + | 14.1890i | −1.39368 | + | 0.469586i | ||||
\(914\) | −11.0276 | + | 20.8002i | −0.364760 | + | 0.688010i | ||||
\(915\) | −8.31210 | + | 15.6783i | −0.274790 | + | 0.518308i | ||||
\(916\) | 17.8060 | − | 5.99954i | 0.588327 | − | 0.198230i | ||||
\(917\) | 4.10384 | − | 4.83142i | 0.135521 | − | 0.159547i | ||||
\(918\) | −16.3599 | + | 7.56890i | −0.539958 | + | 0.249811i | ||||
\(919\) | −47.6556 | − | 22.0478i | −1.57201 | − | 0.727291i | −0.576082 | − | 0.817392i | \(-0.695419\pi\) |
−0.995933 | + | 0.0901005i | \(0.971281\pi\) | |||||||
\(920\) | −22.3519 | − | 26.3147i | −0.736921 | − | 0.867570i | ||||
\(921\) | 21.5699 | + | 12.9782i | 0.710753 | + | 0.427646i | ||||
\(922\) | 49.2470 | − | 5.35594i | 1.62187 | − | 0.176388i | ||||
\(923\) | −1.77168 | − | 10.8068i | −0.0583155 | − | 0.355709i | ||||
\(924\) | −8.72673 | + | 8.26640i | −0.287088 | + | 0.271945i | ||||
\(925\) | −0.209184 | − | 0.0704822i | −0.00687792 | − | 0.00231744i | ||||
\(926\) | 21.4239 | − | 12.8903i | 0.704032 | − | 0.423602i | ||||
\(927\) | −9.03249 | + | 6.86632i | −0.296666 | + | 0.225520i | ||||
\(928\) | 9.84438 | + | 24.7075i | 0.323158 | + | 0.811064i | ||||
\(929\) | 5.61356 | + | 8.27939i | 0.184175 | + | 0.271638i | 0.908557 | − | 0.417761i | \(-0.137185\pi\) |
−0.724382 | + | 0.689399i | \(0.757875\pi\) | |||||||
\(930\) | −1.97333 | + | 12.0368i | −0.0647081 | + | 0.394702i | ||||
\(931\) | 0.414672 | − | 7.64817i | 0.0135903 | − | 0.250659i | ||||
\(932\) | 30.1687 | − | 6.64064i | 0.988209 | − | 0.217521i | ||||
\(933\) | 2.71424 | − | 6.81222i | 0.0888601 | − | 0.223022i | ||||
\(934\) | −0.708320 | − | 2.55114i | −0.0231769 | − | 0.0834758i | ||||
\(935\) | 3.40430 | + | 62.7886i | 0.111332 | + | 2.05341i | ||||
\(936\) | 13.3657 | + | 1.45361i | 0.436871 | + | 0.0475126i | ||||
\(937\) | −15.6002 | − | 11.8590i | −0.509637 | − | 0.387416i | 0.318517 | − | 0.947917i | \(-0.396815\pi\) |
−0.828153 | + | 0.560501i | \(0.810608\pi\) | |||||||
\(938\) | −7.72175 | + | 27.8112i | −0.252124 | + | 0.908069i | ||||
\(939\) | 6.16670 | + | 1.35739i | 0.201243 | + | 0.0442969i | ||||
\(940\) | −2.46894 | + | 3.64141i | −0.0805278 | + | 0.118770i | ||||
\(941\) | 26.7718 | + | 25.3596i | 0.872736 | + | 0.826699i | 0.985979 | − | 0.166868i | \(-0.0533654\pi\) |
−0.113243 | + | 0.993567i | \(0.536124\pi\) | |||||||
\(942\) | −20.0669 | − | 37.8502i | −0.653816 | − | 1.23323i | ||||
\(943\) | 51.0282 | 1.66171 | ||||||||
\(944\) | 2.24885 | − | 9.49350i | 0.0731938 | − | 0.308987i | ||||
\(945\) | 1.93833 | 0.0630540 | ||||||||
\(946\) | −0.715427 | − | 1.34944i | −0.0232606 | − | 0.0438741i | ||||
\(947\) | −14.5161 | − | 13.7503i | −0.471709 | − | 0.446826i | 0.414543 | − | 0.910030i | \(-0.363941\pi\) |
−0.886252 | + | 0.463203i | \(0.846700\pi\) | |||||||
\(948\) | 16.0335 | − | 23.6477i | 0.520745 | − | 0.768041i | ||||
\(949\) | 14.0459 | + | 3.09173i | 0.455948 | + | 0.100362i | ||||
\(950\) | 0.291963 | − | 1.05155i | 0.00947252 | − | 0.0341169i | ||||
\(951\) | 3.45820 | + | 2.62885i | 0.112140 | + | 0.0852464i | ||||
\(952\) | −24.2946 | − | 2.64220i | −0.787394 | − | 0.0856342i | ||||
\(953\) | −2.05904 | − | 37.9767i | −0.0666987 | − | 1.23019i | −0.819943 | − | 0.572445i | \(-0.805995\pi\) |
0.753245 | − | 0.657740i | \(-0.228488\pi\) | |||||||
\(954\) | −0.440089 | − | 1.58506i | −0.0142484 | − | 0.0513181i | ||||
\(955\) | 14.8896 | − | 37.3700i | 0.481815 | − | 1.20926i | ||||
\(956\) | 19.8424 | − | 4.36765i | 0.641750 | − | 0.141260i | ||||
\(957\) | 1.34403 | − | 24.7892i | 0.0434463 | − | 0.801320i | ||||
\(958\) | 0.898404 | − | 5.48002i | 0.0290261 | − | 0.177051i | ||||
\(959\) | 3.32654 | + | 4.90628i | 0.107420 | + | 0.158432i | ||||
\(960\) | 9.63552 | + | 24.1833i | 0.310985 | + | 0.780514i | ||||
\(961\) | −20.0253 | + | 15.2229i | −0.645978 | + | 0.491060i | ||||
\(962\) | −4.49923 | + | 2.70710i | −0.145061 | + | 0.0872803i | ||||
\(963\) | 18.3962 | + | 6.19842i | 0.592811 | + | 0.199741i | ||||
\(964\) | 19.0628 | − | 18.0573i | 0.613973 | − | 0.581586i | ||||
\(965\) | 6.46594 | + | 39.4405i | 0.208146 | + | 1.26963i | ||||
\(966\) | 9.56605 | − | 1.04037i | 0.307783 | − | 0.0334734i | ||||
\(967\) | −26.2783 | − | 15.8111i | −0.845052 | − | 0.508451i | 0.0259886 | − | 0.999662i | \(-0.491727\pi\) |
−0.871040 | + | 0.491211i | \(0.836554\pi\) | |||||||
\(968\) | 7.95807 | + | 9.36897i | 0.255782 | + | 0.301130i | ||||
\(969\) | 8.63217 | + | 3.99367i | 0.277305 | + | 0.128295i | ||||
\(970\) | −3.33208 | + | 1.54158i | −0.106987 | + | 0.0494972i | ||||
\(971\) | 21.4126 | − | 25.2089i | 0.687164 | − | 0.808992i | −0.302385 | − | 0.953186i | \(-0.597783\pi\) |
0.989550 | + | 0.144194i | \(0.0460588\pi\) | |||||||
\(972\) | 3.32060 | − | 1.11884i | 0.106508 | − | 0.0358868i | ||||
\(973\) | −9.28411 | + | 17.5117i | −0.297635 | + | 0.561399i | ||||
\(974\) | −25.8629 | + | 48.7825i | −0.828699 | + | 1.56309i | ||||
\(975\) | 1.35686 | − | 0.457180i | 0.0434544 | − | 0.0146415i | ||||
\(976\) | −6.78557 | + | 7.98859i | −0.217201 | + | 0.255709i | ||||
\(977\) | 5.93574 | − | 2.74617i | 0.189901 | − | 0.0878577i | −0.322634 | − | 0.946524i | \(-0.604568\pi\) |
0.512535 | + | 0.858666i | \(0.328706\pi\) | |||||||
\(978\) | 15.2966 | + | 7.07698i | 0.489133 | + | 0.226297i | ||||
\(979\) | 33.4842 | + | 39.4206i | 1.07016 | + | 1.25989i | ||||
\(980\) | −39.9494 | − | 24.0368i | −1.27614 | − | 0.767827i | ||||
\(981\) | 7.51921 | − | 0.817764i | 0.240070 | − | 0.0261092i | ||||
\(982\) | 10.6786 | + | 65.1364i | 0.340767 | + | 2.07859i | ||||
\(983\) | 1.36776 | − | 1.29561i | 0.0436248 | − | 0.0413236i | −0.665577 | − | 0.746330i | \(-0.731814\pi\) |
0.709201 | + | 0.705006i | \(0.249056\pi\) | |||||||
\(984\) | 37.4990 | + | 12.6349i | 1.19542 | + | 0.402786i | ||||
\(985\) | −2.67886 | + | 1.61182i | −0.0853556 | + | 0.0513568i | ||||
\(986\) | 93.6098 | − | 71.1603i | 2.98114 | − | 2.26621i | ||||
\(987\) | −0.194800 | − | 0.488911i | −0.00620056 | − | 0.0155622i | ||||
\(988\) | −9.27477 | − | 13.6793i | −0.295070 | − | 0.435195i | ||||
\(989\) | −0.125929 | + | 0.768134i | −0.00400431 | + | 0.0244252i | ||||
\(990\) | 1.03946 | − | 19.1718i | 0.0330363 | − | 0.609319i | ||||
\(991\) | −48.0668 | + | 10.5803i | −1.52689 | + | 0.336095i | −0.897508 | − | 0.440998i | \(-0.854624\pi\) |
−0.629386 | + | 0.777093i | \(0.716693\pi\) | |||||||
\(992\) | 3.64872 | − | 9.15759i | 0.115847 | − | 0.290754i | ||||
\(993\) | −0.812131 | − | 2.92503i | −0.0257722 | − | 0.0928230i | ||||
\(994\) | −0.329052 | − | 6.06901i | −0.0104369 | − | 0.192497i | ||||
\(995\) | 12.4530 | + | 1.35435i | 0.394787 | + | 0.0429356i | ||||
\(996\) | 32.5717 | + | 24.7604i | 1.03207 | + | 0.784562i | ||||
\(997\) | 12.5053 | − | 45.0402i | 0.396048 | − | 1.42644i | −0.449856 | − | 0.893101i | \(-0.648525\pi\) |
0.845904 | − | 0.533336i | \(-0.179062\pi\) | |||||||
\(998\) | 44.2800 | + | 9.74677i | 1.40166 | + | 0.308529i | ||||
\(999\) | −0.329646 | + | 0.486192i | −0.0104295 | + | 0.0153824i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 177.2.e.b.28.5 | yes | 140 | |
3.2 | odd | 2 | 531.2.i.b.28.1 | 140 | |||
59.19 | even | 29 | inner | 177.2.e.b.19.5 | ✓ | 140 | |
177.137 | odd | 58 | 531.2.i.b.19.1 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.b.19.5 | ✓ | 140 | 59.19 | even | 29 | inner | |
177.2.e.b.28.5 | yes | 140 | 1.1 | even | 1 | trivial | |
531.2.i.b.19.1 | 140 | 177.137 | odd | 58 | |||
531.2.i.b.28.1 | 140 | 3.2 | odd | 2 |