Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,2,Mod(20,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.k (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.17380090971\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 104.2 | ||
Character | \(\chi\) | \(=\) | 147.104 |
Dual form | 147.2.k.a.41.2 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.78148 | − | 1.42068i | −1.25969 | − | 1.00457i | −0.999236 | − | 0.0390875i | \(-0.987555\pi\) |
−0.260458 | − | 0.965485i | \(-0.583874\pi\) | |||||||
\(3\) | 0.0426424 | + | 1.73153i | 0.0246196 | + | 0.999697i | ||||
\(4\) | 0.710285 | + | 3.11196i | 0.355142 | + | 1.55598i | ||||
\(5\) | −1.09528 | − | 0.527460i | −0.489825 | − | 0.235887i | 0.172633 | − | 0.984986i | \(-0.444773\pi\) |
−0.662458 | + | 0.749099i | \(0.730487\pi\) | |||||||
\(6\) | 2.38398 | − | 3.14525i | 0.973255 | − | 1.28404i | ||||
\(7\) | −2.21851 | − | 1.44160i | −0.838517 | − | 0.544875i | ||||
\(8\) | 1.17846 | − | 2.44709i | 0.416647 | − | 0.865176i | ||||
\(9\) | −2.99636 | + | 0.147673i | −0.998788 | + | 0.0492243i | ||||
\(10\) | 1.20187 | + | 2.49571i | 0.380064 | + | 0.789211i | ||||
\(11\) | −3.63827 | − | 2.90142i | −1.09698 | − | 0.874812i | −0.104175 | − | 0.994559i | \(-0.533220\pi\) |
−0.992804 | + | 0.119747i | \(0.961792\pi\) | |||||||
\(12\) | −5.35815 | + | 1.36258i | −1.54677 | + | 0.393342i | ||||
\(13\) | −2.21274 | − | 1.76460i | −0.613705 | − | 0.489413i | 0.266609 | − | 0.963805i | \(-0.414097\pi\) |
−0.880314 | + | 0.474392i | \(0.842668\pi\) | |||||||
\(14\) | 1.90416 | + | 5.71997i | 0.508909 | + | 1.52873i | ||||
\(15\) | 0.866606 | − | 1.91900i | 0.223757 | − | 0.495484i | ||||
\(16\) | 0.175848 | − | 0.0846840i | 0.0439620 | − | 0.0211710i | ||||
\(17\) | −0.896447 | + | 3.92759i | −0.217420 | + | 0.952581i | 0.741955 | + | 0.670449i | \(0.233899\pi\) |
−0.959376 | + | 0.282132i | \(0.908959\pi\) | |||||||
\(18\) | 5.54775 | + | 3.99380i | 1.30762 | + | 0.941347i | ||||
\(19\) | 5.20859i | 1.19493i | 0.801894 | + | 0.597467i | \(0.203826\pi\) | ||||
−0.801894 | + | 0.597467i | \(0.796174\pi\) | |||||||
\(20\) | 0.863474 | − | 3.78312i | 0.193079 | − | 0.845932i | ||||
\(21\) | 2.40157 | − | 3.90288i | 0.524066 | − | 0.851678i | ||||
\(22\) | 2.35950 | + | 10.3376i | 0.503047 | + | 2.20399i | ||||
\(23\) | −3.01360 | + | 0.687835i | −0.628379 | + | 0.143423i | −0.524839 | − | 0.851202i | \(-0.675874\pi\) |
−0.103541 | + | 0.994625i | \(0.533017\pi\) | |||||||
\(24\) | 4.28745 | + | 1.93618i | 0.875172 | + | 0.395220i | ||||
\(25\) | −2.19602 | − | 2.75372i | −0.439204 | − | 0.550744i | ||||
\(26\) | 1.43501 | + | 6.28720i | 0.281429 | + | 1.23302i | ||||
\(27\) | −0.383472 | − | 5.18198i | −0.0737991 | − | 0.997273i | ||||
\(28\) | 2.91044 | − | 7.92786i | 0.550022 | − | 1.49822i | ||||
\(29\) | 5.02894 | + | 1.14782i | 0.933851 | + | 0.213145i | 0.662266 | − | 0.749269i | \(-0.269595\pi\) |
0.271585 | + | 0.962414i | \(0.412452\pi\) | |||||||
\(30\) | −4.27013 | + | 2.18749i | −0.779615 | + | 0.399379i | ||||
\(31\) | − | 5.29517i | − | 0.951041i | −0.879705 | − | 0.475521i | \(-0.842260\pi\) | ||
0.879705 | − | 0.475521i | \(-0.157740\pi\) | |||||||
\(32\) | −5.72951 | − | 1.30772i | −1.01284 | − | 0.231175i | ||||
\(33\) | 4.86874 | − | 6.42348i | 0.847540 | − | 1.11818i | ||||
\(34\) | 7.17685 | − | 5.72335i | 1.23082 | − | 0.981546i | ||||
\(35\) | 1.66950 | + | 2.74914i | 0.282198 | + | 0.464689i | ||||
\(36\) | −2.58782 | − | 9.21968i | −0.431304 | − | 1.53661i | ||||
\(37\) | 0.330947 | − | 1.44998i | 0.0544074 | − | 0.238375i | −0.940411 | − | 0.340039i | \(-0.889560\pi\) |
0.994819 | + | 0.101665i | \(0.0324168\pi\) | |||||||
\(38\) | 7.39975 | − | 9.27899i | 1.20040 | − | 1.50525i | ||||
\(39\) | 2.96110 | − | 3.90667i | 0.474156 | − | 0.625568i | ||||
\(40\) | −2.58148 | + | 2.05867i | −0.408169 | + | 0.325504i | ||||
\(41\) | 5.32713 | + | 2.56541i | 0.831958 | + | 0.400650i | 0.800849 | − | 0.598866i | \(-0.204382\pi\) |
0.0311086 | + | 0.999516i | \(0.490096\pi\) | |||||||
\(42\) | −9.82308 | + | 3.54102i | −1.51573 | + | 0.546391i | ||||
\(43\) | −9.88760 | + | 4.76162i | −1.50784 | + | 0.726140i | −0.991484 | − | 0.130232i | \(-0.958428\pi\) |
−0.516361 | + | 0.856371i | \(0.672714\pi\) | |||||||
\(44\) | 6.44491 | − | 13.3830i | 0.971606 | − | 2.01756i | ||||
\(45\) | 3.35976 | + | 1.41872i | 0.500843 | + | 0.211490i | ||||
\(46\) | 6.34585 | + | 3.05600i | 0.935645 | + | 0.450583i | ||||
\(47\) | −0.464613 | + | 0.582607i | −0.0677708 | + | 0.0849819i | −0.814561 | − | 0.580077i | \(-0.803022\pi\) |
0.746791 | + | 0.665059i | \(0.231594\pi\) | |||||||
\(48\) | 0.154131 | + | 0.300874i | 0.0222469 | + | 0.0434275i | ||||
\(49\) | 2.84356 | + | 6.39642i | 0.406222 | + | 0.913774i | ||||
\(50\) | 8.02553i | 1.13498i | ||||||||
\(51\) | −6.83895 | − | 1.38474i | −0.957645 | − | 0.193902i | ||||
\(52\) | 3.91970 | − | 8.13934i | 0.543565 | − | 1.12872i | ||||
\(53\) | 2.20747 | − | 0.503841i | 0.303219 | − | 0.0692078i | −0.0682042 | − | 0.997671i | \(-0.521727\pi\) |
0.371424 | + | 0.928464i | \(0.378870\pi\) | |||||||
\(54\) | −6.67880 | + | 9.77637i | −0.908869 | + | 1.33040i | ||||
\(55\) | 2.45455 | + | 5.09692i | 0.330971 | + | 0.687269i | ||||
\(56\) | −6.14215 | + | 3.73002i | −0.820779 | + | 0.498445i | ||||
\(57\) | −9.01881 | + | 0.222107i | −1.19457 | + | 0.0294188i | ||||
\(58\) | −7.32825 | − | 9.18934i | −0.962247 | − | 1.20662i | ||||
\(59\) | 6.73222 | − | 3.24207i | 0.876461 | − | 0.422081i | 0.0591303 | − | 0.998250i | \(-0.481167\pi\) |
0.817331 | + | 0.576169i | \(0.195453\pi\) | |||||||
\(60\) | 6.58740 | + | 1.33381i | 0.850429 | + | 0.172193i | ||||
\(61\) | 8.54761 | + | 1.95094i | 1.09441 | + | 0.249792i | 0.731369 | − | 0.681982i | \(-0.238882\pi\) |
0.363040 | + | 0.931774i | \(0.381739\pi\) | |||||||
\(62\) | −7.52275 | + | 9.43323i | −0.955390 | + | 1.19802i | ||||
\(63\) | 6.86034 | + | 3.99196i | 0.864322 | + | 0.502939i | ||||
\(64\) | 8.10575 | + | 10.1643i | 1.01322 | + | 1.27054i | ||||
\(65\) | 1.49282 | + | 3.09988i | 0.185162 | + | 0.384492i | ||||
\(66\) | −17.7993 | + | 4.52635i | −2.19094 | + | 0.557155i | ||||
\(67\) | −6.55713 | −0.801081 | −0.400540 | − | 0.916279i | \(-0.631178\pi\) | ||||
−0.400540 | + | 0.916279i | \(0.631178\pi\) | |||||||
\(68\) | −12.8592 | −1.55941 | ||||||||
\(69\) | −1.31951 | − | 5.18880i | −0.158850 | − | 0.624658i | ||||
\(70\) | 0.931464 | − | 7.26936i | 0.111331 | − | 0.868855i | ||||
\(71\) | −2.32335 | + | 0.530289i | −0.275730 | + | 0.0629337i | −0.358150 | − | 0.933664i | \(-0.616592\pi\) |
0.0824196 | + | 0.996598i | \(0.473735\pi\) | |||||||
\(72\) | −3.16971 | + | 7.50639i | −0.373554 | + | 0.884637i | ||||
\(73\) | 2.07358 | − | 1.65362i | 0.242694 | − | 0.193542i | −0.494587 | − | 0.869128i | \(-0.664681\pi\) |
0.737281 | + | 0.675586i | \(0.236109\pi\) | |||||||
\(74\) | −2.64953 | + | 2.11293i | −0.308001 | + | 0.245623i | ||||
\(75\) | 4.67449 | − | 3.91989i | 0.539764 | − | 0.452630i | ||||
\(76\) | −16.2089 | + | 3.69958i | −1.85929 | + | 0.424371i | ||||
\(77\) | 3.88883 | + | 11.6818i | 0.443173 | + | 1.33126i | ||||
\(78\) | −10.8253 | + | 2.75286i | −1.22572 | + | 0.311700i | ||||
\(79\) | −13.7357 | −1.54539 | −0.772693 | − | 0.634780i | \(-0.781091\pi\) | ||||
−0.772693 | + | 0.634780i | \(0.781091\pi\) | |||||||
\(80\) | −0.237271 | −0.0265277 | ||||||||
\(81\) | 8.95639 | − | 0.884963i | 0.995154 | − | 0.0983292i | ||||
\(82\) | −5.84553 | − | 12.1384i | −0.645530 | − | 1.34046i | ||||
\(83\) | 1.42620 | + | 1.78840i | 0.156546 | + | 0.196303i | 0.853919 | − | 0.520406i | \(-0.174219\pi\) |
−0.697373 | + | 0.716708i | \(0.745648\pi\) | |||||||
\(84\) | 13.8514 | + | 4.70144i | 1.51131 | + | 0.512970i | ||||
\(85\) | 3.05351 | − | 3.82898i | 0.331200 | − | 0.415312i | ||||
\(86\) | 24.3793 | + | 5.56441i | 2.62888 | + | 0.600025i | ||||
\(87\) | −1.77304 | + | 8.75669i | −0.190090 | + | 0.938816i | ||||
\(88\) | −11.3876 | + | 5.48397i | −1.21392 | + | 0.584593i | ||||
\(89\) | −11.4774 | − | 14.3922i | −1.21660 | − | 1.52557i | −0.779822 | − | 0.626001i | \(-0.784690\pi\) |
−0.436779 | − | 0.899569i | \(-0.643881\pi\) | |||||||
\(90\) | −3.96978 | − | 7.30056i | −0.418452 | − | 0.769546i | ||||
\(91\) | 2.36513 | + | 7.10469i | 0.247933 | + | 0.744774i | ||||
\(92\) | −4.28103 | − | 8.88965i | −0.446328 | − | 0.926810i | ||||
\(93\) | 9.16873 | − | 0.225799i | 0.950753 | − | 0.0234143i | ||||
\(94\) | 1.65540 | − | 0.377833i | 0.170741 | − | 0.0389705i | ||||
\(95\) | 2.74733 | − | 5.70488i | 0.281870 | − | 0.585309i | ||||
\(96\) | 2.02004 | − | 9.97656i | 0.206169 | − | 1.01823i | ||||
\(97\) | − | 2.44495i | − | 0.248247i | −0.992267 | − | 0.124124i | \(-0.960388\pi\) | ||
0.992267 | − | 0.124124i | \(-0.0396120\pi\) | |||||||
\(98\) | 4.02154 | − | 15.4349i | 0.406237 | − | 1.55916i | ||||
\(99\) | 11.3300 | + | 8.15644i | 1.13871 | + | 0.819753i | ||||
\(100\) | 7.00967 | − | 8.78985i | 0.700967 | − | 0.878985i | ||||
\(101\) | −15.7396 | − | 7.57979i | −1.56615 | − | 0.754218i | −0.568496 | − | 0.822686i | \(-0.692474\pi\) |
−0.997653 | + | 0.0684684i | \(0.978189\pi\) | |||||||
\(102\) | 10.2162 | + | 12.1828i | 1.01155 | + | 1.20628i | ||||
\(103\) | −0.975386 | + | 2.02541i | −0.0961077 | + | 0.199570i | −0.943480 | − | 0.331430i | \(-0.892469\pi\) |
0.847372 | + | 0.530999i | \(0.178183\pi\) | |||||||
\(104\) | −6.92576 | + | 3.33527i | −0.679127 | + | 0.327050i | ||||
\(105\) | −4.68901 | + | 3.00802i | −0.457601 | + | 0.293553i | ||||
\(106\) | −4.64835 | − | 2.23853i | −0.451488 | − | 0.217425i | ||||
\(107\) | −11.9427 | + | 9.52401i | −1.15455 | + | 0.920721i | −0.997759 | − | 0.0669116i | \(-0.978685\pi\) |
−0.156788 | + | 0.987632i | \(0.550114\pi\) | |||||||
\(108\) | 15.8538 | − | 4.87403i | 1.52553 | − | 0.469004i | ||||
\(109\) | −0.805534 | + | 1.01011i | −0.0771562 | + | 0.0967508i | −0.818912 | − | 0.573920i | \(-0.805422\pi\) |
0.741755 | + | 0.670671i | \(0.233994\pi\) | |||||||
\(110\) | 2.86838 | − | 12.5672i | 0.273489 | − | 1.19823i | ||||
\(111\) | 2.52478 | + | 0.511214i | 0.239642 | + | 0.0485223i | ||||
\(112\) | −0.512201 | − | 0.0656312i | −0.0483984 | − | 0.00620156i | ||||
\(113\) | 1.81831 | − | 1.45006i | 0.171053 | − | 0.136410i | −0.534222 | − | 0.845344i | \(-0.679395\pi\) |
0.705274 | + | 0.708934i | \(0.250824\pi\) | |||||||
\(114\) | 16.3824 | + | 12.4172i | 1.53435 | + | 1.16297i | ||||
\(115\) | 3.66355 | + | 0.836182i | 0.341628 | + | 0.0779744i | ||||
\(116\) | 16.4652i | 1.52875i | ||||||||
\(117\) | 6.89077 | + | 4.96063i | 0.637052 | + | 0.458611i | ||||
\(118\) | −16.5992 | − | 3.78867i | −1.52808 | − | 0.348775i | ||||
\(119\) | 7.65081 | − | 7.42107i | 0.701348 | − | 0.680289i | ||||
\(120\) | −3.67471 | − | 4.38212i | −0.335454 | − | 0.400031i | ||||
\(121\) | 2.37102 | + | 10.3881i | 0.215547 | + | 0.944374i | ||||
\(122\) | −12.4557 | − | 15.6190i | −1.12769 | − | 1.41407i | ||||
\(123\) | −4.21491 | + | 9.33345i | −0.380046 | + | 0.841569i | ||||
\(124\) | 16.4784 | − | 3.76108i | 1.47980 | − | 0.337755i | ||||
\(125\) | 2.30535 | + | 10.1004i | 0.206196 | + | 0.903405i | ||||
\(126\) | −6.55025 | − | 16.8579i | −0.583542 | − | 1.50182i | ||||
\(127\) | 4.51789 | − | 19.7942i | 0.400898 | − | 1.75645i | −0.222879 | − | 0.974846i | \(-0.571545\pi\) |
0.623777 | − | 0.781603i | \(-0.285597\pi\) | |||||||
\(128\) | − | 17.8694i | − | 1.57945i | ||||||
\(129\) | −8.66649 | − | 16.9176i | −0.763042 | − | 1.48951i | ||||
\(130\) | 1.74451 | − | 7.64318i | 0.153003 | − | 0.670351i | ||||
\(131\) | −5.72141 | + | 2.75529i | −0.499882 | + | 0.240731i | −0.666795 | − | 0.745241i | \(-0.732334\pi\) |
0.166913 | + | 0.985972i | \(0.446620\pi\) | |||||||
\(132\) | 23.4478 | + | 10.5888i | 2.04087 | + | 0.921640i | ||||
\(133\) | 7.50873 | − | 11.5553i | 0.651089 | − | 1.00197i | ||||
\(134\) | 11.6814 | + | 9.31558i | 1.00912 | + | 0.804744i | ||||
\(135\) | −2.31328 | + | 5.87800i | −0.199096 | + | 0.505898i | ||||
\(136\) | 8.55474 | + | 6.82218i | 0.733563 | + | 0.584997i | ||||
\(137\) | −8.12983 | − | 16.8818i | −0.694578 | − | 1.44231i | −0.887366 | − | 0.461066i | \(-0.847467\pi\) |
0.192787 | − | 0.981241i | \(-0.438247\pi\) | |||||||
\(138\) | −5.02094 | + | 11.1183i | −0.427411 | + | 0.946455i | ||||
\(139\) | −4.95068 | + | 10.2802i | −0.419911 | + | 0.871954i | 0.578504 | + | 0.815679i | \(0.303637\pi\) |
−0.998415 | + | 0.0562747i | \(0.982078\pi\) | |||||||
\(140\) | −7.36939 | + | 7.14811i | −0.622827 | + | 0.604125i | ||||
\(141\) | −1.02861 | − | 0.779646i | −0.0866247 | − | 0.0656581i | ||||
\(142\) | 4.89236 | + | 2.35604i | 0.410558 | + | 0.197714i | ||||
\(143\) | 2.93069 | + | 12.8402i | 0.245077 | + | 1.07375i | ||||
\(144\) | −0.514399 | + | 0.279712i | −0.0428666 | + | 0.0233093i | ||||
\(145\) | −4.90268 | − | 3.90976i | −0.407146 | − | 0.324688i | ||||
\(146\) | −6.04330 | −0.500147 | ||||||||
\(147\) | −10.9543 | + | 5.19645i | −0.903496 | + | 0.428596i | ||||
\(148\) | 4.74733 | 0.390228 | ||||||||
\(149\) | 5.48149 | + | 4.37134i | 0.449061 | + | 0.358114i | 0.821756 | − | 0.569840i | \(-0.192995\pi\) |
−0.372695 | + | 0.927954i | \(0.621566\pi\) | |||||||
\(150\) | −13.8964 | + | 0.342228i | −1.13464 | + | 0.0279428i | ||||
\(151\) | 3.31264 | + | 14.5136i | 0.269579 | + | 1.18110i | 0.910505 | + | 0.413499i | \(0.135694\pi\) |
−0.640926 | + | 0.767603i | \(0.721449\pi\) | |||||||
\(152\) | 12.7459 | + | 6.13810i | 1.03383 | + | 0.497865i | ||||
\(153\) | 2.10608 | − | 11.9009i | 0.170267 | − | 0.962129i | ||||
\(154\) | 9.66821 | − | 26.3356i | 0.779087 | − | 2.12218i | ||||
\(155\) | −2.79299 | + | 5.79971i | −0.224339 | + | 0.465844i | ||||
\(156\) | 14.2606 | + | 6.43998i | 1.14176 | + | 0.515611i | ||||
\(157\) | 3.62466 | + | 7.52669i | 0.289279 | + | 0.600695i | 0.994073 | − | 0.108718i | \(-0.0346745\pi\) |
−0.704793 | + | 0.709413i | \(0.748960\pi\) | |||||||
\(158\) | 24.4698 | + | 19.5140i | 1.94671 | + | 1.55245i | ||||
\(159\) | 0.966545 | + | 3.80081i | 0.0766520 | + | 0.301424i | ||||
\(160\) | 5.58566 | + | 4.45442i | 0.441585 | + | 0.352153i | ||||
\(161\) | 7.67728 | + | 2.81845i | 0.605055 | + | 0.222125i | ||||
\(162\) | −17.2128 | − | 11.1476i | −1.35237 | − | 0.875840i | ||||
\(163\) | −5.85121 | + | 2.81779i | −0.458302 | + | 0.220707i | −0.648767 | − | 0.760987i | \(-0.724715\pi\) |
0.190464 | + | 0.981694i | \(0.439001\pi\) | |||||||
\(164\) | −4.19968 | + | 18.4000i | −0.327940 | + | 1.43680i | ||||
\(165\) | −8.72078 | + | 4.46746i | −0.678912 | + | 0.347791i | ||||
\(166\) | − | 5.21217i | − | 0.404543i | ||||||
\(167\) | 0.836868 | − | 3.66656i | 0.0647588 | − | 0.283727i | −0.932172 | − | 0.362016i | \(-0.882089\pi\) |
0.996931 | + | 0.0782892i | \(0.0249457\pi\) | |||||||
\(168\) | −6.72054 | − | 10.4762i | −0.518501 | − | 0.808258i | ||||
\(169\) | −1.11037 | − | 4.86483i | −0.0854127 | − | 0.374218i | ||||
\(170\) | −10.8795 | + | 2.48318i | −0.834421 | + | 0.190451i | ||||
\(171\) | −0.769168 | − | 15.6068i | −0.0588197 | − | 1.19348i | ||||
\(172\) | −21.8410 | − | 27.3877i | −1.66536 | − | 2.08829i | ||||
\(173\) | 3.38009 | + | 14.8091i | 0.256983 | + | 1.12592i | 0.924457 | + | 0.381285i | \(0.124518\pi\) |
−0.667474 | + | 0.744633i | \(0.732624\pi\) | |||||||
\(174\) | 15.5991 | − | 13.0809i | 1.18256 | − | 0.991662i | ||||
\(175\) | 0.902111 | + | 9.27494i | 0.0681932 | + | 0.701120i | ||||
\(176\) | −0.885487 | − | 0.202107i | −0.0667461 | − | 0.0152344i | ||||
\(177\) | 5.90080 | + | 11.5188i | 0.443532 | + | 0.865804i | ||||
\(178\) | 41.9451i | 3.14392i | ||||||||
\(179\) | −13.9200 | − | 3.17715i | −1.04043 | − | 0.237471i | −0.332019 | − | 0.943273i | \(-0.607730\pi\) |
−0.708409 | + | 0.705802i | \(0.750587\pi\) | |||||||
\(180\) | −2.02862 | + | 11.4631i | −0.151204 | + | 0.854411i | ||||
\(181\) | 4.72811 | − | 3.77054i | 0.351438 | − | 0.280262i | −0.431819 | − | 0.901960i | \(-0.642128\pi\) |
0.783257 | + | 0.621698i | \(0.213557\pi\) | |||||||
\(182\) | 5.88007 | − | 16.0169i | 0.435860 | − | 1.18725i | ||||
\(183\) | −3.01360 | + | 14.8836i | −0.222772 | + | 1.10023i | ||||
\(184\) | −1.86820 | + | 8.18513i | −0.137726 | + | 0.603416i | ||||
\(185\) | −1.12729 | + | 1.41357i | −0.0828797 | + | 0.103928i | ||||
\(186\) | −16.6547 | − | 12.6236i | −1.22118 | − | 0.925605i | ||||
\(187\) | 14.6571 | − | 11.6887i | 1.07183 | − | 0.854760i | ||||
\(188\) | −2.14306 | − | 1.03204i | −0.156299 | − | 0.0752694i | ||||
\(189\) | −6.61963 | + | 12.0491i | −0.481507 | + | 0.876442i | ||||
\(190\) | −12.9991 | + | 6.26004i | −0.943055 | + | 0.454151i | ||||
\(191\) | 6.61781 | − | 13.7420i | 0.478848 | − | 0.994339i | −0.511953 | − | 0.859013i | \(-0.671078\pi\) |
0.990801 | − | 0.135325i | \(-0.0432079\pi\) | |||||||
\(192\) | −17.2541 | + | 14.4687i | −1.24521 | + | 1.04419i | ||||
\(193\) | −9.71036 | − | 4.67626i | −0.698967 | − | 0.336605i | 0.0504281 | − | 0.998728i | \(-0.483941\pi\) |
−0.749395 | + | 0.662123i | \(0.769656\pi\) | |||||||
\(194\) | −3.47350 | + | 4.35563i | −0.249383 | + | 0.312716i | ||||
\(195\) | −5.30386 | + | 2.71705i | −0.379817 | + | 0.194572i | ||||
\(196\) | −17.8857 | + | 13.3923i | −1.27755 | + | 0.956594i | ||||
\(197\) | − | 13.8064i | − | 0.983668i | −0.870689 | − | 0.491834i | \(-0.836327\pi\) | ||
0.870689 | − | 0.491834i | \(-0.163673\pi\) | |||||||
\(198\) | −8.59650 | − | 30.6269i | −0.610927 | − | 2.17656i | ||||
\(199\) | 8.88810 | − | 18.4563i | 0.630061 | − | 1.30833i | −0.304493 | − | 0.952514i | \(-0.598487\pi\) |
0.934554 | − | 0.355821i | \(-0.115799\pi\) | |||||||
\(200\) | −9.32651 | + | 2.12871i | −0.659484 | + | 0.150523i | ||||
\(201\) | −0.279612 | − | 11.3538i | −0.0197223 | − | 0.800838i | ||||
\(202\) | 17.2713 | + | 35.8642i | 1.21520 | + | 2.52339i | ||||
\(203\) | −9.50204 | − | 9.79620i | −0.666913 | − | 0.687558i | ||||
\(204\) | −0.548349 | − | 22.2661i | −0.0383921 | − | 1.55894i | ||||
\(205\) | −4.48156 | − | 5.61970i | −0.313006 | − | 0.392497i | ||||
\(206\) | 4.61509 | − | 2.22251i | 0.321548 | − | 0.154850i | ||||
\(207\) | 8.92827 | − | 2.50603i | 0.620558 | − | 0.174181i | ||||
\(208\) | −0.538540 | − | 0.122918i | −0.0373411 | − | 0.00852285i | ||||
\(209\) | 15.1123 | − | 18.9503i | 1.04534 | − | 1.31082i | ||||
\(210\) | 12.6268 | + | 1.30287i | 0.871332 | + | 0.0899066i | ||||
\(211\) | 3.18469 | + | 3.99348i | 0.219243 | + | 0.274922i | 0.879274 | − | 0.476316i | \(-0.158028\pi\) |
−0.660031 | + | 0.751239i | \(0.729457\pi\) | |||||||
\(212\) | 3.13586 | + | 6.51169i | 0.215372 | + | 0.447225i | ||||
\(213\) | −1.01728 | − | 4.00032i | −0.0697030 | − | 0.274098i | ||||
\(214\) | 34.8063 | 2.37931 | ||||||||
\(215\) | 13.3413 | 0.909868 | ||||||||
\(216\) | −13.1327 | − | 5.16835i | −0.893565 | − | 0.351662i | ||||
\(217\) | −7.63354 | + | 11.7474i | −0.518199 | + | 0.797464i | ||||
\(218\) | 2.87008 | − | 0.655077i | 0.194386 | − | 0.0443674i | ||||
\(219\) | 2.95171 | + | 3.51994i | 0.199458 | + | 0.237856i | ||||
\(220\) | −14.1180 | + | 11.2587i | −0.951835 | + | 0.759063i | ||||
\(221\) | 8.91425 | − | 7.10888i | 0.599638 | − | 0.478195i | ||||
\(222\) | −3.77157 | − | 4.49762i | −0.253131 | − | 0.301861i | ||||
\(223\) | −6.84308 | + | 1.56189i | −0.458247 | + | 0.104592i | −0.445412 | − | 0.895326i | \(-0.646943\pi\) |
−0.0128349 | + | 0.999918i | \(0.504086\pi\) | |||||||
\(224\) | 10.8257 | + | 11.1609i | 0.723325 | + | 0.745717i | ||||
\(225\) | 6.98672 | + | 7.92685i | 0.465781 | + | 0.528457i | ||||
\(226\) | −5.29935 | −0.352508 | ||||||||
\(227\) | 25.4570 | 1.68964 | 0.844822 | − | 0.535048i | \(-0.179706\pi\) | ||||
0.844822 | + | 0.535048i | \(0.179706\pi\) | |||||||
\(228\) | −7.09711 | − | 27.9084i | −0.470018 | − | 1.84828i | ||||
\(229\) | 3.45021 | + | 7.16443i | 0.227996 | + | 0.473439i | 0.983313 | − | 0.181921i | \(-0.0582314\pi\) |
−0.755317 | + | 0.655359i | \(0.772517\pi\) | |||||||
\(230\) | −5.33858 | − | 6.69437i | −0.352016 | − | 0.441414i | ||||
\(231\) | −20.0615 | + | 7.23174i | −1.31995 | + | 0.475814i | ||||
\(232\) | 8.73521 | − | 10.9536i | 0.573495 | − | 0.719139i | ||||
\(233\) | −8.73002 | − | 1.99257i | −0.571923 | − | 0.130538i | −0.0732277 | − | 0.997315i | \(-0.523330\pi\) |
−0.498695 | + | 0.866778i | \(0.666187\pi\) | |||||||
\(234\) | −5.22827 | − | 18.6268i | −0.341783 | − | 1.21767i | ||||
\(235\) | 0.816185 | − | 0.393054i | 0.0532421 | − | 0.0256400i | ||||
\(236\) | 14.8710 | + | 18.6476i | 0.968019 | + | 1.21386i | ||||
\(237\) | −0.585723 | − | 23.7837i | −0.0380468 | − | 1.54492i | ||||
\(238\) | −24.1727 | + | 2.35112i | −1.56688 | + | 0.152400i | ||||
\(239\) | −3.51486 | − | 7.29868i | −0.227357 | − | 0.472112i | 0.755817 | − | 0.654783i | \(-0.227240\pi\) |
−0.983174 | + | 0.182671i | \(0.941526\pi\) | |||||||
\(240\) | −0.0101178 | − | 0.410840i | −0.000653101 | − | 0.0265196i | ||||
\(241\) | −21.3667 | + | 4.87681i | −1.37635 | + | 0.314143i | −0.845795 | − | 0.533508i | \(-0.820873\pi\) |
−0.530554 | + | 0.847651i | \(0.678016\pi\) | |||||||
\(242\) | 10.5343 | − | 21.8746i | 0.677169 | − | 1.40615i | ||||
\(243\) | 1.91426 | + | 15.4705i | 0.122800 | + | 0.992431i | ||||
\(244\) | 27.9855i | 1.79159i | ||||||||
\(245\) | 0.259360 | − | 8.50575i | 0.0165699 | − | 0.543413i | ||||
\(246\) | 20.7686 | − | 10.6393i | 1.32416 | − | 0.678336i | ||||
\(247\) | 9.19111 | − | 11.5253i | 0.584816 | − | 0.733336i | ||||
\(248\) | −12.9578 | − | 6.24013i | −0.822818 | − | 0.396248i | ||||
\(249\) | −3.03585 | + | 2.54577i | −0.192389 | + | 0.161332i | ||||
\(250\) | 10.2425 | − | 21.2687i | 0.647792 | − | 1.34515i | ||||
\(251\) | −16.2784 | + | 7.83927i | −1.02748 | + | 0.494810i | −0.870177 | − | 0.492740i | \(-0.835995\pi\) |
−0.157307 | + | 0.987550i | \(0.550281\pi\) | |||||||
\(252\) | −7.55001 | + | 24.1845i | −0.475606 | + | 1.52348i | ||||
\(253\) | 12.9600 | + | 6.24120i | 0.814788 | + | 0.392381i | ||||
\(254\) | −36.1697 | + | 28.8444i | −2.26949 | + | 1.80986i | ||||
\(255\) | 6.76019 | + | 5.12396i | 0.423340 | + | 0.320875i | ||||
\(256\) | −9.17522 | + | 11.5054i | −0.573451 | + | 0.719085i | ||||
\(257\) | −1.62073 | + | 7.10088i | −0.101098 | + | 0.442941i | 0.898890 | + | 0.438174i | \(0.144375\pi\) |
−0.999989 | + | 0.00476704i | \(0.998483\pi\) | |||||||
\(258\) | −8.59532 | + | 42.4506i | −0.535121 | + | 2.64286i | ||||
\(259\) | −2.82450 | + | 2.73969i | −0.175506 | + | 0.170236i | ||||
\(260\) | −8.58636 | + | 6.84740i | −0.532504 | + | 0.424658i | ||||
\(261\) | −15.2380 | − | 2.69666i | −0.943211 | − | 0.166919i | ||||
\(262\) | 14.1069 | + | 3.21982i | 0.871530 | + | 0.198921i | ||||
\(263\) | 5.80525i | 0.357967i | 0.983852 | + | 0.178983i | \(0.0572808\pi\) | ||||
−0.983852 | + | 0.178983i | \(0.942719\pi\) | |||||||
\(264\) | −9.98123 | − | 19.4840i | −0.614302 | − | 1.19916i | ||||
\(265\) | −2.68356 | − | 0.612505i | −0.164850 | − | 0.0376259i | ||||
\(266\) | −29.7930 | + | 9.91801i | −1.82673 | + | 0.608112i | ||||
\(267\) | 24.4310 | − | 20.4871i | 1.49516 | − | 1.25379i | ||||
\(268\) | −4.65743 | − | 20.4055i | −0.284498 | − | 1.24647i | ||||
\(269\) | 8.96584 | + | 11.2428i | 0.546657 | + | 0.685486i | 0.976029 | − | 0.217642i | \(-0.0698365\pi\) |
−0.429372 | + | 0.903128i | \(0.641265\pi\) | |||||||
\(270\) | 12.4718 | − | 7.18509i | 0.759011 | − | 0.437271i | ||||
\(271\) | −13.6960 | + | 3.12602i | −0.831971 | + | 0.189892i | −0.617234 | − | 0.786780i | \(-0.711747\pi\) |
−0.214737 | + | 0.976672i | \(0.568890\pi\) | |||||||
\(272\) | 0.174966 | + | 0.766574i | 0.0106088 | + | 0.0464804i | ||||
\(273\) | −12.2011 | + | 4.39824i | −0.738444 | + | 0.266194i | ||||
\(274\) | −9.50049 | + | 41.6244i | −0.573946 | + | 2.51462i | ||||
\(275\) | 16.3904i | 0.988376i | ||||||||
\(276\) | 15.2101 | − | 7.79179i | 0.915541 | − | 0.469011i | ||||
\(277\) | −1.27760 | + | 5.59755i | −0.0767638 | + | 0.336324i | −0.998697 | − | 0.0510237i | \(-0.983752\pi\) |
0.921934 | + | 0.387348i | \(0.126609\pi\) | |||||||
\(278\) | 23.4244 | − | 11.2806i | 1.40490 | − | 0.676564i | ||||
\(279\) | 0.781953 | + | 15.8663i | 0.0468143 | + | 0.949888i | ||||
\(280\) | 8.69482 | − | 0.845687i | 0.519615 | − | 0.0505395i | ||||
\(281\) | 6.10881 | + | 4.87161i | 0.364421 | + | 0.290616i | 0.788531 | − | 0.614994i | \(-0.210842\pi\) |
−0.424111 | + | 0.905610i | \(0.639413\pi\) | |||||||
\(282\) | 0.724818 | + | 2.85025i | 0.0431623 | + | 0.169730i | ||||
\(283\) | −7.33800 | − | 5.85186i | −0.436199 | − | 0.347857i | 0.380640 | − | 0.924723i | \(-0.375704\pi\) |
−0.816838 | + | 0.576867i | \(0.804275\pi\) | |||||||
\(284\) | −3.30047 | − | 6.85351i | −0.195847 | − | 0.406681i | ||||
\(285\) | 9.99531 | + | 4.51380i | 0.592071 | + | 0.267374i | ||||
\(286\) | 13.0209 | − | 27.0381i | 0.769940 | − | 1.59880i | ||||
\(287\) | −8.11997 | − | 13.3710i | −0.479307 | − | 0.789265i | ||||
\(288\) | 17.3608 | + | 3.07232i | 1.02300 | + | 0.181038i | ||||
\(289\) | 0.694109 | + | 0.334265i | 0.0408300 | + | 0.0196627i | ||||
\(290\) | 3.17950 | + | 13.9303i | 0.186707 | + | 0.818015i | ||||
\(291\) | 4.23350 | − | 0.104259i | 0.248172 | − | 0.00611175i | ||||
\(292\) | 6.61884 | + | 5.27835i | 0.387339 | + | 0.308892i | ||||
\(293\) | 12.4703 | 0.728525 | 0.364263 | − | 0.931296i | \(-0.381321\pi\) | ||||
0.364263 | + | 0.931296i | \(0.381321\pi\) | |||||||
\(294\) | 26.8973 | + | 6.30522i | 1.56868 | + | 0.367728i | ||||
\(295\) | −9.08375 | −0.528877 | ||||||||
\(296\) | −3.15821 | − | 2.51859i | −0.183567 | − | 0.146390i | ||||
\(297\) | −13.6400 | + | 19.9661i | −0.791470 | + | 1.15855i | ||||
\(298\) | −3.55486 | − | 15.5749i | −0.205928 | − | 0.902228i | ||||
\(299\) | 7.88208 | + | 3.79581i | 0.455833 | + | 0.219517i | ||||
\(300\) | 15.5188 | + | 11.7626i | 0.895976 | + | 0.679114i | ||||
\(301\) | 28.8001 | + | 3.69032i | 1.66001 | + | 0.212706i | ||||
\(302\) | 14.7178 | − | 30.5619i | 0.846916 | − | 1.75864i | ||||
\(303\) | 12.4534 | − | 27.5768i | 0.715431 | − | 1.58424i | ||||
\(304\) | 0.441084 | + | 0.915921i | 0.0252979 | + | 0.0525317i | ||||
\(305\) | −8.33301 | − | 6.64535i | −0.477147 | − | 0.380512i | ||||
\(306\) | −20.6593 | + | 18.2091i | −1.18101 | + | 1.04094i | ||||
\(307\) | 3.41217 | + | 2.72112i | 0.194743 | + | 0.155302i | 0.716007 | − | 0.698093i | \(-0.245968\pi\) |
−0.521264 | + | 0.853395i | \(0.674539\pi\) | |||||||
\(308\) | −33.5910 | + | 20.3993i | −1.91403 | + | 1.16236i | ||||
\(309\) | −3.54864 | − | 1.60254i | −0.201875 | − | 0.0911652i | ||||
\(310\) | 13.2152 | − | 6.36410i | 0.750572 | − | 0.361457i | ||||
\(311\) | 0.594255 | − | 2.60360i | 0.0336971 | − | 0.147637i | −0.955281 | − | 0.295701i | \(-0.904447\pi\) |
0.988978 | + | 0.148064i | \(0.0473041\pi\) | |||||||
\(312\) | −6.07044 | − | 11.8499i | −0.343671 | − | 0.670869i | ||||
\(313\) | 17.3571i | 0.981081i | 0.871418 | + | 0.490540i | \(0.163201\pi\) | ||||
−0.871418 | + | 0.490540i | \(0.836799\pi\) | |||||||
\(314\) | 4.23576 | − | 18.5581i | 0.239038 | − | 1.04729i | ||||
\(315\) | −5.40842 | − | 7.99088i | −0.304730 | − | 0.450235i | ||||
\(316\) | −9.75625 | − | 42.7449i | −0.548832 | − | 2.40459i | ||||
\(317\) | −1.18103 | + | 0.269562i | −0.0663331 | + | 0.0151401i | −0.255559 | − | 0.966794i | \(-0.582259\pi\) |
0.189226 | + | 0.981934i | \(0.439402\pi\) | |||||||
\(318\) | 3.67785 | − | 8.14420i | 0.206244 | − | 0.456704i | ||||
\(319\) | −14.9663 | − | 18.7672i | −0.837953 | − | 1.05076i | ||||
\(320\) | −3.51683 | − | 15.4082i | −0.196597 | − | 0.861346i | ||||
\(321\) | −17.0003 | − | 20.2730i | −0.948866 | − | 1.13153i | ||||
\(322\) | −9.67278 | − | 15.9280i | −0.539043 | − | 0.887631i | ||||
\(323\) | −20.4572 | − | 4.66923i | −1.13827 | − | 0.259803i | ||||
\(324\) | 9.11555 | + | 27.2433i | 0.506420 | + | 1.51352i | ||||
\(325\) | 9.96838i | 0.552946i | ||||||||
\(326\) | 14.4270 | + | 3.29286i | 0.799036 | + | 0.182375i | ||||
\(327\) | −1.78338 | − | 1.35173i | −0.0986210 | − | 0.0747508i | ||||
\(328\) | 12.5556 | − | 10.0127i | 0.693265 | − | 0.552860i | ||||
\(329\) | 1.87064 | − | 0.622729i | 0.103132 | − | 0.0343322i | ||||
\(330\) | 21.8827 | + | 4.43077i | 1.20460 | + | 0.243906i | ||||
\(331\) | 1.39165 | − | 6.09724i | 0.0764923 | − | 0.335135i | −0.922173 | − | 0.386777i | \(-0.873588\pi\) |
0.998666 | + | 0.0516422i | \(0.0164455\pi\) | |||||||
\(332\) | −4.55243 | + | 5.70856i | −0.249847 | + | 0.313298i | ||||
\(333\) | −0.777517 | + | 4.39353i | −0.0426077 | + | 0.240764i | ||||
\(334\) | −6.69987 | + | 5.34297i | −0.366600 | + | 0.292354i | ||||
\(335\) | 7.18191 | + | 3.45863i | 0.392390 | + | 0.188965i | ||||
\(336\) | 0.0918006 | − | 0.889688i | 0.00500813 | − | 0.0485365i | ||||
\(337\) | 12.3918 | − | 5.96755i | 0.675022 | − | 0.325073i | −0.0647787 | − | 0.997900i | \(-0.520634\pi\) |
0.739801 | + | 0.672826i | \(0.234920\pi\) | |||||||
\(338\) | −4.93328 | + | 10.2441i | −0.268335 | + | 0.557203i | ||||
\(339\) | 2.58835 | + | 3.08662i | 0.140580 | + | 0.167642i | ||||
\(340\) | 14.0845 | + | 6.78274i | 0.763840 | + | 0.367846i | ||||
\(341\) | −15.3635 | + | 19.2653i | −0.831982 | + | 1.04327i | ||||
\(342\) | −20.8021 | + | 28.8960i | −1.12485 | + | 1.56251i | ||||
\(343\) | 2.91265 | − | 18.2898i | 0.157268 | − | 0.987556i | ||||
\(344\) | 29.8072i | 1.60710i | ||||||||
\(345\) | −1.29165 | + | 6.37919i | −0.0695400 | + | 0.343444i | ||||
\(346\) | 15.0175 | − | 31.1842i | 0.807346 | − | 1.67647i | ||||
\(347\) | 16.1224 | − | 3.67984i | 0.865498 | − | 0.197544i | 0.233351 | − | 0.972393i | \(-0.425031\pi\) |
0.632147 | + | 0.774849i | \(0.282174\pi\) | |||||||
\(348\) | −28.5098 | + | 0.702114i | −1.52829 | + | 0.0376372i | ||||
\(349\) | −5.67844 | − | 11.7914i | −0.303960 | − | 0.631180i | 0.691908 | − | 0.721985i | \(-0.256770\pi\) |
−0.995869 | + | 0.0908054i | \(0.971056\pi\) | |||||||
\(350\) | 11.5696 | − | 17.8047i | 0.618423 | − | 0.951701i | ||||
\(351\) | −8.29563 | + | 12.1431i | −0.442788 | + | 0.648149i | ||||
\(352\) | 17.0512 | + | 21.3816i | 0.908834 | + | 1.13964i | ||||
\(353\) | 17.5552 | − | 8.45414i | 0.934369 | − | 0.449969i | 0.0961898 | − | 0.995363i | \(-0.469334\pi\) |
0.838180 | + | 0.545394i | \(0.183620\pi\) | |||||||
\(354\) | 5.85235 | − | 28.9036i | 0.311049 | − | 1.53621i | ||||
\(355\) | 2.82443 | + | 0.644657i | 0.149905 | + | 0.0342149i | ||||
\(356\) | 36.6357 | − | 45.9398i | 1.94169 | − | 2.43480i | ||||
\(357\) | 13.1760 | + | 12.9311i | 0.697349 | + | 0.684387i | ||||
\(358\) | 20.2844 | + | 25.4359i | 1.07206 | + | 1.34433i | ||||
\(359\) | −8.73196 | − | 18.1321i | −0.460855 | − | 0.956976i | −0.993837 | − | 0.110849i | \(-0.964643\pi\) |
0.532982 | − | 0.846127i | \(-0.321071\pi\) | |||||||
\(360\) | 7.43106 | − | 6.54972i | 0.391651 | − | 0.345201i | ||||
\(361\) | −8.12945 | −0.427866 | ||||||||
\(362\) | −13.7798 | −0.724248 | ||||||||
\(363\) | −17.8862 | + | 4.54845i | −0.938781 | + | 0.238732i | ||||
\(364\) | −20.4296 | + | 12.4065i | −1.07080 | + | 0.650280i | ||||
\(365\) | −3.14338 | + | 0.717455i | −0.164532 | + | 0.0375533i | ||||
\(366\) | 26.5135 | − | 22.2334i | 1.38588 | − | 1.16216i | ||||
\(367\) | 2.83003 | − | 2.25687i | 0.147726 | − | 0.117808i | −0.546838 | − | 0.837239i | \(-0.684169\pi\) |
0.694564 | + | 0.719431i | \(0.255597\pi\) | |||||||
\(368\) | −0.471687 | + | 0.376158i | −0.0245884 | + | 0.0196086i | ||||
\(369\) | −16.3408 | − | 6.90023i | −0.850671 | − | 0.359211i | ||||
\(370\) | 4.01647 | − | 0.916732i | 0.208806 | − | 0.0476586i | ||||
\(371\) | −5.62363 | − | 2.06452i | −0.291964 | − | 0.107185i | ||||
\(372\) | 7.21509 | + | 28.3723i | 0.374085 | + | 1.47104i | ||||
\(373\) | 32.2331 | 1.66896 | 0.834482 | − | 0.551035i | \(-0.185767\pi\) | ||||
0.834482 | + | 0.551035i | \(0.185767\pi\) | |||||||
\(374\) | −42.7172 | −2.20885 | ||||||||
\(375\) | −17.3908 | + | 4.42247i | −0.898055 | + | 0.228375i | ||||
\(376\) | 0.878164 | + | 1.82353i | 0.0452878 | + | 0.0940412i | ||||
\(377\) | −9.10231 | − | 11.4139i | −0.468793 | − | 0.587847i | ||||
\(378\) | 28.9106 | − | 12.0608i | 1.48700 | − | 0.620340i | ||||
\(379\) | 0.0834977 | − | 0.104703i | 0.00428899 | − | 0.00537822i | −0.779682 | − | 0.626175i | \(-0.784619\pi\) |
0.783971 | + | 0.620797i | \(0.213191\pi\) | |||||||
\(380\) | 19.7048 | + | 4.49748i | 1.01083 | + | 0.230716i | ||||
\(381\) | 34.4668 | + | 6.97877i | 1.76579 | + | 0.357533i | ||||
\(382\) | −31.3125 | + | 15.0793i | −1.60209 | + | 0.771525i | ||||
\(383\) | −10.9837 | − | 13.7731i | −0.561241 | − | 0.703773i | 0.417546 | − | 0.908656i | \(-0.362890\pi\) |
−0.978787 | + | 0.204882i | \(0.934319\pi\) | |||||||
\(384\) | 30.9413 | − | 0.761995i | 1.57897 | − | 0.0388854i | ||||
\(385\) | 1.90231 | − | 14.8461i | 0.0969506 | − | 0.756625i | ||||
\(386\) | 10.6553 | + | 22.1260i | 0.542341 | + | 1.12618i | ||||
\(387\) | 28.9237 | − | 15.7277i | 1.47027 | − | 0.799482i | ||||
\(388\) | 7.60860 | − | 1.73661i | 0.386268 | − | 0.0881632i | ||||
\(389\) | −10.9969 | + | 22.8353i | −0.557565 | + | 1.15780i | 0.411595 | + | 0.911367i | \(0.364972\pi\) |
−0.969161 | + | 0.246430i | \(0.920743\pi\) | |||||||
\(390\) | 13.3087 | + | 2.69473i | 0.673915 | + | 0.136453i | ||||
\(391\) | − | 12.4528i | − | 0.629765i | ||||||
\(392\) | 19.0036 | + | 0.579464i | 0.959827 | + | 0.0292673i | ||||
\(393\) | −5.01482 | − | 9.78928i | −0.252964 | − | 0.493804i | ||||
\(394\) | −19.6145 | + | 24.5959i | −0.988166 | + | 1.23912i | ||||
\(395\) | 15.0445 | + | 7.24503i | 0.756969 | + | 0.364537i | ||||
\(396\) | −17.3350 | + | 41.0520i | −0.871116 | + | 2.06294i | ||||
\(397\) | 5.90008 | − | 12.2516i | 0.296116 | − | 0.614892i | −0.698831 | − | 0.715287i | \(-0.746296\pi\) |
0.994948 | + | 0.100394i | \(0.0320105\pi\) | |||||||
\(398\) | −42.0545 | + | 20.2524i | −2.10800 | + | 1.01516i | ||||
\(399\) | 20.3285 | + | 12.5088i | 1.01770 | + | 0.626224i | ||||
\(400\) | −0.619362 | − | 0.298269i | −0.0309681 | − | 0.0149134i | ||||
\(401\) | −18.3831 | + | 14.6601i | −0.918010 | + | 0.732088i | −0.963734 | − | 0.266866i | \(-0.914012\pi\) |
0.0457240 | + | 0.998954i | \(0.485441\pi\) | |||||||
\(402\) | −15.6320 | + | 20.6238i | −0.779656 | + | 1.02862i | ||||
\(403\) | −9.34388 | + | 11.7169i | −0.465452 | + | 0.583658i | ||||
\(404\) | 12.4084 | − | 54.3648i | 0.617342 | − | 2.70475i | ||||
\(405\) | −10.2766 | − | 3.75485i | −0.510646 | − | 0.186580i | ||||
\(406\) | 3.01040 | + | 30.9511i | 0.149404 | + | 1.53608i | ||||
\(407\) | −5.41107 | + | 4.31518i | −0.268217 | + | 0.213896i | ||||
\(408\) | −11.4480 | + | 15.1037i | −0.566760 | + | 0.747743i | ||||
\(409\) | −2.75644 | − | 0.629140i | −0.136297 | − | 0.0311090i | 0.153828 | − | 0.988098i | \(-0.450840\pi\) |
−0.290125 | + | 0.956989i | \(0.593697\pi\) | |||||||
\(410\) | 16.3782i | 0.808863i | ||||||||
\(411\) | 28.8845 | − | 14.7969i | 1.42477 | − | 0.729877i | ||||
\(412\) | −6.99580 | − | 1.59675i | −0.344658 | − | 0.0786660i | ||||
\(413\) | −19.6093 | − | 2.51265i | −0.964909 | − | 0.123639i | ||||
\(414\) | −19.4658 | − | 8.21978i | −0.956690 | − | 0.403980i | ||||
\(415\) | −0.618784 | − | 2.71107i | −0.0303749 | − | 0.133081i | ||||
\(416\) | 10.3703 | + | 13.0040i | 0.508447 | + | 0.637572i | ||||
\(417\) | −18.0115 | − | 8.13385i | −0.882028 | − | 0.398316i | ||||
\(418\) | −53.8445 | + | 12.2897i | −2.63362 | + | 0.601107i | ||||
\(419\) | −0.541529 | − | 2.37259i | −0.0264554 | − | 0.115909i | 0.959976 | − | 0.280082i | \(-0.0903616\pi\) |
−0.986432 | + | 0.164173i | \(0.947504\pi\) | |||||||
\(420\) | −12.6914 | − | 12.4555i | −0.619276 | − | 0.607765i | ||||
\(421\) | 2.85370 | − | 12.5029i | 0.139081 | − | 0.609353i | −0.856557 | − | 0.516052i | \(-0.827401\pi\) |
0.995638 | − | 0.0933008i | \(-0.0297418\pi\) | |||||||
\(422\) | − | 11.6387i | − | 0.566564i | ||||||
\(423\) | 1.30612 | − | 1.81431i | 0.0635055 | − | 0.0882149i | ||||
\(424\) | 1.36846 | − | 5.99563i | 0.0664584 | − | 0.291173i | ||||
\(425\) | 12.7841 | − | 6.15650i | 0.620120 | − | 0.298634i | ||||
\(426\) | −3.87091 | + | 8.57171i | −0.187546 | + | 0.415301i | ||||
\(427\) | −16.1505 | − | 16.6504i | −0.781575 | − | 0.805771i | ||||
\(428\) | −38.1211 | − | 30.4005i | −1.84265 | − | 1.46947i | ||||
\(429\) | −22.1082 | + | 5.62211i | −1.06739 | + | 0.271438i | ||||
\(430\) | −23.7672 | − | 18.9537i | −1.14616 | − | 0.914028i | ||||
\(431\) | 7.19350 | + | 14.9375i | 0.346499 | + | 0.719512i | 0.999276 | − | 0.0380374i | \(-0.0121106\pi\) |
−0.652777 | + | 0.757550i | \(0.726396\pi\) | |||||||
\(432\) | −0.506264 | − | 0.878768i | −0.0243576 | − | 0.0422797i | ||||
\(433\) | −3.85221 | + | 7.99920i | −0.185125 | + | 0.384417i | −0.972790 | − | 0.231687i | \(-0.925576\pi\) |
0.787665 | + | 0.616104i | \(0.211290\pi\) | |||||||
\(434\) | 30.2883 | − | 10.0829i | 1.45388 | − | 0.483993i | ||||
\(435\) | 6.56079 | − | 8.65584i | 0.314566 | − | 0.415016i | ||||
\(436\) | −3.71557 | − | 1.78933i | −0.177944 | − | 0.0856932i | ||||
\(437\) | −3.58265 | − | 15.6966i | −0.171382 | − | 0.750871i | ||||
\(438\) | −0.257701 | − | 10.4641i | −0.0123134 | − | 0.499996i | ||||
\(439\) | 6.35498 | + | 5.06792i | 0.303306 | + | 0.241879i | 0.763301 | − | 0.646043i | \(-0.223577\pi\) |
−0.459995 | + | 0.887922i | \(0.652149\pi\) | |||||||
\(440\) | 15.3652 | 0.732507 | ||||||||
\(441\) | −9.46491 | − | 18.7461i | −0.450710 | − | 0.892671i | ||||
\(442\) | −25.9800 | −1.23574 | ||||||||
\(443\) | 15.6379 | + | 12.4708i | 0.742978 | + | 0.592506i | 0.920100 | − | 0.391683i | \(-0.128107\pi\) |
−0.177122 | + | 0.984189i | \(0.556679\pi\) | |||||||
\(444\) | 0.202438 | + | 8.22013i | 0.00960727 | + | 0.390110i | ||||
\(445\) | 4.97968 | + | 21.8174i | 0.236059 | + | 1.03424i | ||||
\(446\) | 14.4097 | + | 6.93936i | 0.682321 | + | 0.328588i | ||||
\(447\) | −7.33534 | + | 9.67774i | −0.346950 | + | 0.457741i | ||||
\(448\) | −3.32979 | − | 34.2348i | −0.157318 | − | 1.61744i | ||||
\(449\) | −14.4581 | + | 30.0226i | −0.682320 | + | 1.41685i | 0.215506 | + | 0.976503i | \(0.430860\pi\) |
−0.897826 | + | 0.440350i | \(0.854854\pi\) | |||||||
\(450\) | −1.18515 | − | 24.0474i | −0.0558686 | − | 1.13361i | ||||
\(451\) | −11.9382 | − | 24.7899i | −0.562147 | − | 1.16731i | ||||
\(452\) | 5.80404 | + | 4.62857i | 0.272999 | + | 0.217710i | ||||
\(453\) | −24.9895 | + | 6.35482i | −1.17411 | + | 0.298575i | ||||
\(454\) | −45.3511 | − | 36.1663i | −2.12843 | − | 1.69737i | ||||
\(455\) | 1.15696 | − | 9.02916i | 0.0542390 | − | 0.423293i | ||||
\(456\) | −10.0848 | + | 22.3316i | −0.472262 | + | 1.04577i | ||||
\(457\) | −8.98176 | + | 4.32539i | −0.420149 | + | 0.202333i | −0.631999 | − | 0.774969i | \(-0.717765\pi\) |
0.211850 | + | 0.977302i | \(0.432051\pi\) | |||||||
\(458\) | 4.03190 | − | 17.6649i | 0.188398 | − | 0.825427i | ||||
\(459\) | 20.6965 | + | 3.13925i | 0.966029 | + | 0.146528i | ||||
\(460\) | 11.9948i | 0.559258i | ||||||||
\(461\) | −7.17953 | + | 31.4556i | −0.334384 | + | 1.46503i | 0.476162 | + | 0.879358i | \(0.342028\pi\) |
−0.810546 | + | 0.585675i | \(0.800830\pi\) | |||||||
\(462\) | 46.0130 | + | 15.6177i | 2.14072 | + | 0.726603i | ||||
\(463\) | −1.96464 | − | 8.60766i | −0.0913047 | − | 0.400032i | 0.908537 | − | 0.417804i | \(-0.137200\pi\) |
−0.999842 | + | 0.0177716i | \(0.994343\pi\) | |||||||
\(464\) | 0.981532 | − | 0.224028i | 0.0455665 | − | 0.0104002i | ||||
\(465\) | −10.1615 | − | 4.58883i | −0.471226 | − | 0.212802i | ||||
\(466\) | 12.7215 | + | 15.9523i | 0.589313 | + | 0.738975i | ||||
\(467\) | 0.834693 | + | 3.65703i | 0.0386250 | + | 0.169227i | 0.990562 | − | 0.137068i | \(-0.0437678\pi\) |
−0.951937 | + | 0.306295i | \(0.900911\pi\) | |||||||
\(468\) | −10.5429 | + | 24.9673i | −0.487345 | + | 1.15411i | ||||
\(469\) | 14.5470 | + | 9.45278i | 0.671720 | + | 0.436489i | ||||
\(470\) | −2.01242 | − | 0.459321i | −0.0928260 | − | 0.0211869i | ||||
\(471\) | −12.8781 | + | 6.59715i | −0.593391 | + | 0.303981i | ||||
\(472\) | − | 20.2950i | − | 0.934152i | ||||||
\(473\) | 49.7892 | + | 11.3641i | 2.28931 | + | 0.522520i | ||||
\(474\) | −32.7456 | + | 43.2022i | −1.50405 | + | 1.98434i | ||||
\(475\) | 14.3430 | − | 11.4382i | 0.658103 | − | 0.524819i | ||||
\(476\) | 28.5283 | + | 18.5379i | 1.30759 | + | 0.849685i | ||||
\(477\) | −6.53998 | + | 1.83567i | −0.299445 | + | 0.0840497i | ||||
\(478\) | −4.10745 | + | 17.9959i | −0.187870 | + | 0.823114i | ||||
\(479\) | −23.3602 | + | 29.2928i | −1.06736 | + | 1.33842i | −0.129430 | + | 0.991589i | \(0.541315\pi\) |
−0.937926 | + | 0.346834i | \(0.887257\pi\) | |||||||
\(480\) | −7.47475 | + | 9.86166i | −0.341174 | + | 0.450121i | ||||
\(481\) | −3.29094 | + | 2.62443i | −0.150054 | + | 0.119664i | ||||
\(482\) | 44.9926 | + | 21.6673i | 2.04936 | + | 0.986919i | ||||
\(483\) | −4.55285 | + | 13.4136i | −0.207162 | + | 0.610340i | ||||
\(484\) | −30.6433 | + | 14.7570i | −1.39288 | + | 0.670774i | ||||
\(485\) | −1.28962 | + | 2.67792i | −0.0585585 | + | 0.121598i | ||||
\(486\) | 18.5684 | − | 30.2798i | 0.842279 | − | 1.37352i | ||||
\(487\) | 11.5467 | + | 5.56059i | 0.523231 | + | 0.251975i | 0.676805 | − | 0.736163i | \(-0.263364\pi\) |
−0.153574 | + | 0.988137i | \(0.549078\pi\) | |||||||
\(488\) | 14.8471 | − | 18.6177i | 0.672096 | − | 0.842782i | ||||
\(489\) | −5.12859 | − | 10.0114i | −0.231923 | − | 0.452730i | ||||
\(490\) | −12.5460 | + | 14.7843i | −0.566770 | + | 0.667888i | ||||
\(491\) | − | 36.2126i | − | 1.63425i | −0.576458 | − | 0.817127i | \(-0.695566\pi\) | ||
0.576458 | − | 0.817127i | \(-0.304434\pi\) | |||||||
\(492\) | −32.0391 | − | 6.48723i | −1.44444 | − | 0.292467i | ||||
\(493\) | −9.01636 | + | 18.7227i | −0.406077 | + | 0.843227i | ||||
\(494\) | −32.7475 | + | 7.47440i | −1.47338 | + | 0.336289i | ||||
\(495\) | −8.10740 | − | 14.9098i | −0.364400 | − | 0.670144i | ||||
\(496\) | −0.448416 | − | 0.931146i | −0.0201345 | − | 0.0418097i | ||||
\(497\) | 5.91883 | + | 2.17290i | 0.265496 | + | 0.0974677i | ||||
\(498\) | 9.02501 | − | 0.222260i | 0.404421 | − | 0.00995969i | ||||
\(499\) | −10.0815 | − | 12.6419i | −0.451312 | − | 0.565927i | 0.503173 | − | 0.864185i | \(-0.332166\pi\) |
−0.954485 | + | 0.298258i | \(0.903594\pi\) | |||||||
\(500\) | −29.7945 | + | 14.3483i | −1.33245 | + | 0.641675i | ||||
\(501\) | 6.38443 | + | 1.29271i | 0.285235 | + | 0.0577539i | ||||
\(502\) | 40.1367 | + | 9.16094i | 1.79139 | + | 0.408873i | ||||
\(503\) | −20.5935 | + | 25.8234i | −0.918219 | + | 1.15141i | 0.0698751 | + | 0.997556i | \(0.477740\pi\) |
−0.988094 | + | 0.153854i | \(0.950832\pi\) | |||||||
\(504\) | 17.8533 | − | 12.0835i | 0.795248 | − | 0.538243i | ||||
\(505\) | 13.2413 | + | 16.6040i | 0.589229 | + | 0.738870i | ||||
\(506\) | −14.2212 | − | 29.5306i | −0.632208 | − | 1.31279i | ||||
\(507\) | 8.37623 | − | 2.13007i | 0.372001 | − | 0.0945999i | ||||
\(508\) | 64.8077 | 2.87538 | ||||||||
\(509\) | −13.6921 | −0.606891 | −0.303445 | − | 0.952849i | \(-0.598137\pi\) | ||||
−0.303445 | + | 0.952849i | \(0.598137\pi\) | |||||||
\(510\) | −4.76362 | − | 18.7323i | −0.210937 | − | 0.829480i | ||||
\(511\) | −6.98412 | + | 0.679299i | −0.308959 | + | 0.0300504i | ||||
\(512\) | −2.15191 | + | 0.491159i | −0.0951018 | + | 0.0217064i | ||||
\(513\) | 26.9908 | − | 1.99735i | 1.19167 | − | 0.0881850i | ||||
\(514\) | 12.9754 | − | 10.3475i | 0.572319 | − | 0.456409i | ||||
\(515\) | 2.13665 | − | 1.70392i | 0.0941520 | − | 0.0750837i | ||||
\(516\) | 46.4912 | − | 38.9861i | 2.04666 | − | 1.71627i | ||||
\(517\) | 3.38078 | − | 0.771640i | 0.148686 | − | 0.0339367i | ||||
\(518\) | 8.92400 | − | 0.867978i | 0.392098 | − | 0.0381367i | ||||
\(519\) | −25.4983 | + | 6.48421i | −1.11925 | + | 0.284625i | ||||
\(520\) | 9.34489 | 0.409801 | ||||||||
\(521\) | −2.52812 | −0.110759 | −0.0553795 | − | 0.998465i | \(-0.517637\pi\) | ||||
−0.0553795 | + | 0.998465i | \(0.517637\pi\) | |||||||
\(522\) | 23.3151 | + | 26.4524i | 1.02048 | + | 1.15779i | ||||
\(523\) | 11.7402 | + | 24.3788i | 0.513364 | + | 1.06601i | 0.983077 | + | 0.183192i | \(0.0586429\pi\) |
−0.469714 | + | 0.882819i | \(0.655643\pi\) | |||||||
\(524\) | −12.6382 | − | 15.8478i | −0.552101 | − | 0.692313i | ||||
\(525\) | −16.0213 | + | 1.95753i | −0.699228 | + | 0.0854338i | ||||
\(526\) | 8.24740 | − | 10.3419i | 0.359604 | − | 0.450929i | ||||
\(527\) | 20.7973 | + | 4.74684i | 0.905944 | + | 0.206776i | ||||
\(528\) | 0.312193 | − | 1.54186i | 0.0135865 | − | 0.0671009i | ||||
\(529\) | −12.1136 | + | 5.83361i | −0.526679 | + | 0.253635i | ||||
\(530\) | 3.91053 | + | 4.90364i | 0.169862 | + | 0.213001i | ||||
\(531\) | −19.6934 | + | 10.7086i | −0.854622 | + | 0.464713i | ||||
\(532\) | 41.2930 | + | 15.1593i | 1.79028 | + | 0.657240i | ||||
\(533\) | −7.26064 | − | 15.0769i | −0.314493 | − | 0.653052i | ||||
\(534\) | −72.6290 | + | 1.78864i | −3.14296 | + | 0.0774020i | ||||
\(535\) | 18.1042 | − | 4.13217i | 0.782713 | − | 0.178649i | ||||
\(536\) | −7.72728 | + | 16.0459i | −0.333768 | + | 0.693076i | ||||
\(537\) | 4.90773 | − | 24.2383i | 0.211784 | − | 1.04596i | ||||
\(538\) | − | 32.7664i | − | 1.41266i | ||||||
\(539\) | 8.21310 | − | 31.5223i | 0.353763 | − | 1.35776i | ||||
\(540\) | −19.9352 | − | 3.02378i | −0.857875 | − | 0.130123i | ||||
\(541\) | −0.558082 | + | 0.699813i | −0.0239938 | + | 0.0300873i | −0.793684 | − | 0.608331i | \(-0.791839\pi\) |
0.769690 | + | 0.638418i | \(0.220411\pi\) | |||||||
\(542\) | 28.8401 | + | 13.8887i | 1.23879 | + | 0.596569i | ||||
\(543\) | 6.73041 | + | 8.02606i | 0.288830 | + | 0.344431i | ||||
\(544\) | 10.2724 | − | 21.3309i | 0.440426 | − | 0.914554i | ||||
\(545\) | 1.41508 | − | 0.681466i | 0.0606153 | − | 0.0291908i | ||||
\(546\) | 27.9845 | + | 9.49849i | 1.19762 | + | 0.406498i | ||||
\(547\) | −22.3315 | − | 10.7543i | −0.954825 | − | 0.459819i | −0.109450 | − | 0.993992i | \(-0.534909\pi\) |
−0.845375 | + | 0.534173i | \(0.820623\pi\) | |||||||
\(548\) | 46.7609 | − | 37.2906i | 1.99753 | − | 1.59297i | ||||
\(549\) | −25.8998 | − | 4.58346i | −1.10538 | − | 0.195617i | ||||
\(550\) | 23.2855 | − | 29.1990i | 0.992895 | − | 1.24505i | ||||
\(551\) | −5.97855 | + | 26.1937i | −0.254695 | + | 1.11589i | ||||
\(552\) | −14.2524 | − | 2.88581i | −0.606624 | − | 0.122828i | ||||
\(553\) | 30.4727 | + | 19.8014i | 1.29583 | + | 0.842042i | ||||
\(554\) | 10.2283 | − | 8.15684i | 0.434561 | − | 0.346551i | ||||
\(555\) | −2.49571 | − | 1.89165i | −0.105937 | − | 0.0802959i | ||||
\(556\) | −35.5079 | − | 8.10445i | −1.50587 | − | 0.343705i | ||||
\(557\) | − | 17.9057i | − | 0.758691i | −0.925255 | − | 0.379345i | \(-0.876149\pi\) | ||
0.925255 | − | 0.379345i | \(-0.123851\pi\) | |||||||
\(558\) | 21.1479 | − | 29.3763i | 0.895260 | − | 1.24360i | ||||
\(559\) | 30.2811 | + | 6.91146i | 1.28075 | + | 0.292324i | ||||
\(560\) | 0.526387 | + | 0.342050i | 0.0222439 | + | 0.0144543i | ||||
\(561\) | 20.8642 | + | 24.8808i | 0.880889 | + | 1.05047i | ||||
\(562\) | −3.96170 | − | 17.3573i | −0.167114 | − | 0.732174i | ||||
\(563\) | 2.65452 | + | 3.32867i | 0.111875 | + | 0.140287i | 0.834616 | − | 0.550832i | \(-0.185690\pi\) |
−0.722741 | + | 0.691119i | \(0.757118\pi\) | |||||||
\(564\) | 1.69562 | − | 3.75477i | 0.0713986 | − | 0.158104i | ||||
\(565\) | −2.75642 | + | 0.629134i | −0.115963 | + | 0.0264679i | ||||
\(566\) | 4.75885 | + | 20.8499i | 0.200030 | + | 0.876387i | ||||
\(567\) | −21.1456 | − | 10.9483i | −0.888031 | − | 0.459784i | ||||
\(568\) | −1.44030 | + | 6.31035i | −0.0604335 | + | 0.264777i | ||||
\(569\) | − | 23.4816i | − | 0.984401i | −0.870482 | − | 0.492201i | \(-0.836193\pi\) | ||
0.870482 | − | 0.492201i | \(-0.163807\pi\) | |||||||
\(570\) | −11.3937 | − | 22.2414i | −0.477231 | − | 0.931588i | ||||
\(571\) | 4.62246 | − | 20.2523i | 0.193444 | − | 0.847533i | −0.781291 | − | 0.624167i | \(-0.785438\pi\) |
0.974735 | − | 0.223366i | \(-0.0717045\pi\) | |||||||
\(572\) | −37.8766 | + | 18.2404i | −1.58370 | + | 0.762670i | ||||
\(573\) | 24.0769 | + | 10.8729i | 1.00583 | + | 0.454223i | ||||
\(574\) | −4.53036 | + | 35.3560i | −0.189094 | + | 1.47573i | ||||
\(575\) | 8.51203 | + | 6.78812i | 0.354976 | + | 0.283084i | ||||
\(576\) | −25.7888 | − | 29.2589i | −1.07453 | − | 1.21912i | ||||
\(577\) | 17.1343 | + | 13.6641i | 0.713309 | + | 0.568845i | 0.911491 | − | 0.411321i | \(-0.134932\pi\) |
−0.198182 | + | 0.980165i | \(0.563504\pi\) | |||||||
\(578\) | −0.761655 | − | 1.58159i | −0.0316807 | − | 0.0657856i | ||||
\(579\) | 7.68300 | − | 17.0132i | 0.319295 | − | 0.707043i | ||||
\(580\) | 8.68472 | − | 18.0340i | 0.360613 | − | 0.748821i | ||||
\(581\) | −0.585876 | − | 6.02360i | −0.0243062 | − | 0.249901i | ||||
\(582\) | −7.69000 | − | 5.82872i | −0.318761 | − | 0.241608i | ||||
\(583\) | −9.49323 | − | 4.57170i | −0.393169 | − | 0.189340i | ||||
\(584\) | −1.60294 | − | 7.02295i | −0.0663303 | − | 0.290612i | ||||
\(585\) | −4.93080 | − | 9.06790i | −0.203864 | − | 0.374912i | ||||
\(586\) | −22.2156 | − | 17.7164i | −0.917719 | − | 0.731856i | ||||
\(587\) | 7.23980 | 0.298818 | 0.149409 | − | 0.988775i | \(-0.452263\pi\) | ||||
0.149409 | + | 0.988775i | \(0.452263\pi\) | |||||||
\(588\) | −23.9518 | − | 30.3984i | −0.987757 | − | 1.25361i | ||||
\(589\) | 27.5804 | 1.13643 | ||||||||
\(590\) | 16.1825 | + | 12.9051i | 0.666223 | + | 0.531295i | ||||
\(591\) | 23.9062 | − | 0.588740i | 0.983370 | − | 0.0242175i | ||||
\(592\) | −0.0645932 | − | 0.283001i | −0.00265476 | − | 0.0116313i | ||||
\(593\) | −0.442394 | − | 0.213046i | −0.0181669 | − | 0.00874874i | 0.424778 | − | 0.905297i | \(-0.360352\pi\) |
−0.442945 | + | 0.896549i | \(0.646066\pi\) | |||||||
\(594\) | 52.6646 | − | 16.1911i | 2.16086 | − | 0.664327i | ||||
\(595\) | −12.2941 | + | 4.09268i | −0.504010 | + | 0.167783i | ||||
\(596\) | −9.71002 | + | 20.1631i | −0.397738 | + | 0.825911i | ||||
\(597\) | 32.3366 | + | 14.6030i | 1.32345 | + | 0.597659i | ||||
\(598\) | −8.64911 | − | 17.9601i | −0.353689 | − | 0.734442i | ||||
\(599\) | 5.72338 | + | 4.56424i | 0.233851 | + | 0.186490i | 0.733403 | − | 0.679794i | \(-0.237931\pi\) |
−0.499552 | + | 0.866284i | \(0.666502\pi\) | |||||||
\(600\) | −4.08363 | − | 16.0583i | −0.166713 | − | 0.655578i | ||||
\(601\) | −10.8364 | − | 8.64175i | −0.442026 | − | 0.352504i | 0.377046 | − | 0.926195i | \(-0.376940\pi\) |
−0.819072 | + | 0.573690i | \(0.805511\pi\) | |||||||
\(602\) | −46.0639 | − | 47.4899i | −1.87742 | − | 1.93554i | ||||
\(603\) | 19.6475 | − | 0.968310i | 0.800110 | − | 0.0394326i | ||||
\(604\) | −42.8129 | + | 20.6176i | −1.74203 | + | 0.838919i | ||||
\(605\) | 2.88238 | − | 12.6285i | 0.117185 | − | 0.513423i | ||||
\(606\) | −61.3632 | + | 31.4350i | −2.49271 | + | 1.27696i | ||||
\(607\) | 1.23435i | 0.0501005i | 0.999686 | + | 0.0250503i | \(0.00797458\pi\) | ||||
−0.999686 | + | 0.0250503i | \(0.992025\pi\) | |||||||
\(608\) | 6.81140 | − | 29.8427i | 0.276239 | − | 1.21028i | ||||
\(609\) | 16.5572 | − | 16.8708i | 0.670931 | − | 0.683638i | ||||
\(610\) | 5.40414 | + | 23.6771i | 0.218807 | + | 0.958657i | ||||
\(611\) | 2.05614 | − | 0.469301i | 0.0831826 | − | 0.0189859i | ||||
\(612\) | 38.5310 | − | 1.89896i | 1.55752 | − | 0.0767610i | ||||
\(613\) | 12.1625 | + | 15.2513i | 0.491238 | + | 0.615993i | 0.964228 | − | 0.265075i | \(-0.0853966\pi\) |
−0.472990 | + | 0.881068i | \(0.656825\pi\) | |||||||
\(614\) | −2.21287 | − | 9.69521i | −0.0893041 | − | 0.391267i | ||||
\(615\) | 9.53955 | − | 7.99957i | 0.384672 | − | 0.322574i | ||||
\(616\) | 33.1691 | + | 4.25015i | 1.33642 | + | 0.171243i | ||||
\(617\) | −35.6212 | − | 8.13032i | −1.43406 | − | 0.327314i | −0.566258 | − | 0.824228i | \(-0.691609\pi\) |
−0.867800 | + | 0.496914i | \(0.834466\pi\) | |||||||
\(618\) | 4.04513 | + | 7.89637i | 0.162719 | + | 0.317639i | ||||
\(619\) | − | 29.0609i | − | 1.16806i | −0.811734 | − | 0.584028i | \(-0.801476\pi\) | ||
0.811734 | − | 0.584028i | \(-0.198524\pi\) | |||||||
\(620\) | −20.0323 | − | 4.57224i | −0.804516 | − | 0.183626i | ||||
\(621\) | 4.71998 | + | 15.3527i | 0.189406 | + | 0.616081i | ||||
\(622\) | −4.75754 | + | 3.79401i | −0.190760 | + | 0.152126i | ||||
\(623\) | 4.71484 | + | 48.4751i | 0.188896 | + | 1.94211i | ||||
\(624\) | 0.189872 | − | 0.937738i | 0.00760095 | − | 0.0375396i | ||||
\(625\) | −1.11621 | + | 4.89041i | −0.0446482 | + | 0.195617i | ||||
\(626\) | 24.6589 | − | 30.9213i | 0.985567 | − | 1.23586i | ||||
\(627\) | 33.4573 | + | 25.3593i | 1.33616 | + | 1.01275i | ||||
\(628\) | −20.8482 | + | 16.6259i | −0.831934 | + | 0.663445i | ||||
\(629\) | 5.39824 | + | 2.59965i | 0.215242 | + | 0.103655i | ||||
\(630\) | −1.71752 | + | 21.9192i | −0.0684275 | + | 0.873282i | ||||
\(631\) | −7.98181 | + | 3.84384i | −0.317751 | + | 0.153021i | −0.585960 | − | 0.810340i | \(-0.699282\pi\) |
0.268209 | + | 0.963361i | \(0.413568\pi\) | |||||||
\(632\) | −16.1869 | + | 33.6124i | −0.643880 | + | 1.33703i | ||||
\(633\) | −6.77901 | + | 5.68467i | −0.269441 | + | 0.225945i | ||||
\(634\) | 2.48693 | + | 1.19764i | 0.0987687 | + | 0.0475645i | ||||
\(635\) | −15.3890 | + | 19.2972i | −0.610694 | + | 0.765786i | ||||
\(636\) | −11.1414 | + | 5.70750i | −0.441787 | + | 0.226317i | ||||
\(637\) | 4.99509 | − | 19.1714i | 0.197913 | − | 0.759598i | ||||
\(638\) | 54.6957i | 2.16542i | ||||||||
\(639\) | 6.88328 | − | 1.93203i | 0.272298 | − | 0.0764300i | ||||
\(640\) | −9.42541 | + | 19.5721i | −0.372572 | + | 0.773653i | ||||
\(641\) | −25.8181 | + | 5.89282i | −1.01975 | + | 0.232752i | −0.699541 | − | 0.714593i | \(-0.746612\pi\) |
−0.320214 | + | 0.947345i | \(0.603755\pi\) | |||||||
\(642\) | 1.48422 | + | 60.2679i | 0.0585776 | + | 2.37859i | ||||
\(643\) | 21.6463 | + | 44.9489i | 0.853645 | + | 1.77261i | 0.588704 | + | 0.808349i | \(0.299638\pi\) |
0.264941 | + | 0.964265i | \(0.414647\pi\) | |||||||
\(644\) | −3.31786 | + | 25.8933i | −0.130742 | + | 1.02034i | ||||
\(645\) | 0.568904 | + | 23.1008i | 0.0224006 | + | 0.909592i | ||||
\(646\) | 29.8106 | + | 37.3813i | 1.17288 | + | 1.47075i | ||||
\(647\) | 18.9786 | − | 9.13962i | 0.746127 | − | 0.359316i | −0.0218773 | − | 0.999761i | \(-0.506964\pi\) |
0.768004 | + | 0.640445i | \(0.221250\pi\) | |||||||
\(648\) | 8.38912 | − | 22.9600i | 0.329556 | − | 0.901952i | ||||
\(649\) | −33.9003 | − | 7.73751i | −1.33070 | − | 0.303724i | ||||
\(650\) | 14.1619 | − | 17.7584i | 0.555475 | − | 0.696543i | ||||
\(651\) | −20.6664 | − | 12.7167i | −0.809980 | − | 0.498408i | ||||
\(652\) | −12.9249 | − | 16.2073i | −0.506178 | − | 0.634727i | ||||
\(653\) | −2.53277 | − | 5.25935i | −0.0991149 | − | 0.205814i | 0.845515 | − | 0.533951i | \(-0.179293\pi\) |
−0.944630 | + | 0.328137i | \(0.893579\pi\) | |||||||
\(654\) | 1.25667 | + | 4.94168i | 0.0491397 | + | 0.193235i | ||||
\(655\) | 7.71987 | 0.301640 | ||||||||
\(656\) | 1.15401 | 0.0450567 | ||||||||
\(657\) | −5.96900 | + | 5.26107i | −0.232873 | + | 0.205254i | ||||
\(658\) | −4.21720 | − | 1.54820i | −0.164403 | − | 0.0603551i | ||||
\(659\) | 42.8287 | − | 9.77536i | 1.66837 | − | 0.380794i | 0.719012 | − | 0.694998i | \(-0.244595\pi\) |
0.949356 | + | 0.314204i | \(0.101737\pi\) | |||||||
\(660\) | −20.0968 | − | 23.9656i | −0.782267 | − | 0.932859i | ||||
\(661\) | −31.7489 | + | 25.3189i | −1.23489 | + | 0.984790i | −0.234969 | + | 0.972003i | \(0.575499\pi\) |
−0.999918 | + | 0.0127871i | \(0.995930\pi\) | |||||||
\(662\) | −11.1414 | + | 8.88499i | −0.433024 | + | 0.345325i | ||||
\(663\) | 12.6893 | + | 15.1321i | 0.492813 | + | 0.587683i | ||||
\(664\) | 6.05709 | − | 1.38249i | 0.235061 | − | 0.0536511i | ||||
\(665\) | −14.3192 | + | 8.69577i | −0.555273 | + | 0.337208i | ||||
\(666\) | 7.62692 | − | 6.72236i | 0.295537 | − | 0.260486i | ||||
\(667\) | −15.9447 | −0.617383 | ||||||||
\(668\) | 12.0046 | 0.464472 | ||||||||
\(669\) | −2.99626 | − | 11.7824i | −0.115842 | − | 0.455533i | ||||
\(670\) | −7.88080 | − | 16.3647i | −0.304462 | − | 0.632222i | ||||
\(671\) | −25.4380 | − | 31.8983i | −0.982023 | − | 1.23142i | ||||
\(672\) | −18.8637 | + | 19.2210i | −0.727683 | + | 0.741465i | ||||
\(673\) | 11.0736 | − | 13.8859i | 0.426858 | − | 0.535262i | −0.521169 | − | 0.853453i | \(-0.674504\pi\) |
0.948027 | + | 0.318191i | \(0.103075\pi\) | |||||||
\(674\) | −30.5536 | − | 6.97366i | −1.17688 | − | 0.268615i | ||||
\(675\) | −13.4276 | + | 12.4357i | −0.516829 | + | 0.478651i | ||||
\(676\) | 14.3505 | − | 6.91083i | 0.551942 | − | 0.265801i | ||||
\(677\) | −18.1821 | − | 22.7996i | −0.698794 | − | 0.876260i | 0.298139 | − | 0.954522i | \(-0.403634\pi\) |
−0.996933 | + | 0.0782627i | \(0.975063\pi\) | |||||||
\(678\) | −0.225977 | − | 9.17597i | −0.00867860 | − | 0.352401i | ||||
\(679\) | −3.52465 | + | 5.42415i | −0.135264 | + | 0.208160i | ||||
\(680\) | −5.77143 | − | 11.9845i | −0.221324 | − | 0.459585i | ||||
\(681\) | 1.08555 | + | 44.0795i | 0.0415984 | + | 1.68913i | ||||
\(682\) | 54.7396 | − | 12.4939i | 2.09609 | − | 0.478418i | ||||
\(683\) | −8.75104 | + | 18.1717i | −0.334849 | + | 0.695321i | −0.998615 | − | 0.0526194i | \(-0.983243\pi\) |
0.663766 | + | 0.747941i | \(0.268957\pi\) | |||||||
\(684\) | 48.0215 | − | 13.4789i | 1.83615 | − | 0.515379i | ||||
\(685\) | 22.7785i | 0.870321i | ||||||||
\(686\) | −31.1728 | + | 28.4449i | −1.19018 | + | 1.08603i | ||||
\(687\) | −12.2583 | + | 6.27963i | −0.467682 | + | 0.239583i | ||||
\(688\) | −1.33548 | + | 1.67464i | −0.0509148 | + | 0.0638451i | ||||
\(689\) | −5.77365 | − | 2.78044i | −0.219958 | − | 0.105926i | ||||
\(690\) | 11.3638 | − | 9.52936i | 0.432614 | − | 0.362777i | ||||
\(691\) | −17.2226 | + | 35.7630i | −0.655177 | + | 1.36049i | 0.263184 | + | 0.964746i | \(0.415227\pi\) |
−0.918361 | + | 0.395744i | \(0.870487\pi\) | |||||||
\(692\) | −43.6846 | + | 21.0374i | −1.66064 | + | 0.799723i | ||||
\(693\) | −13.3774 | − | 34.4286i | −0.508166 | − | 1.30783i | ||||
\(694\) | −33.9496 | − | 16.3493i | −1.28871 | − | 0.620610i | ||||
\(695\) | 10.8448 | − | 8.64842i | 0.411366 | − | 0.328053i | ||||
\(696\) | 19.3389 | + | 14.6582i | 0.733041 | + | 0.555616i | ||||
\(697\) | −14.8514 | + | 18.6230i | −0.562536 | + | 0.705398i | ||||
\(698\) | −6.63581 | + | 29.0734i | −0.251169 | + | 1.10044i | ||||
\(699\) | 3.07792 | − | 15.2012i | 0.116418 | − | 0.574963i | ||||
\(700\) | −28.2225 | + | 9.39518i | −1.06671 | + | 0.355105i | ||||
\(701\) | 11.0796 | − | 8.83568i | 0.418471 | − | 0.333719i | −0.391512 | − | 0.920173i | \(-0.628048\pi\) |
0.809983 | + | 0.586454i | \(0.199476\pi\) | |||||||
\(702\) | 32.0299 | − | 9.84718i | 1.20889 | − | 0.371658i | ||||
\(703\) | 7.55233 | + | 1.72377i | 0.284842 | + | 0.0650133i | ||||
\(704\) | − | 60.4986i | − | 2.28013i | ||||||
\(705\) | 0.715387 | + | 1.39648i | 0.0269430 | + | 0.0525947i | ||||
\(706\) | −43.2848 | − | 9.87948i | −1.62905 | − | 0.371819i | ||||
\(707\) | 23.9914 | + | 39.5061i | 0.902289 | + | 1.48578i | ||||
\(708\) | −31.6547 | + | 26.5447i | −1.18966 | + | 0.997610i | ||||
\(709\) | 4.04622 | + | 17.7277i | 0.151959 | + | 0.665776i | 0.992315 | + | 0.123741i | \(0.0394890\pi\) |
−0.840356 | + | 0.542036i | \(0.817654\pi\) | |||||||
\(710\) | −4.11580 | − | 5.16105i | −0.154463 | − | 0.193691i | ||||
\(711\) | 41.1571 | − | 2.02839i | 1.54351 | − | 0.0760705i | ||||
\(712\) | −48.7446 | + | 11.1256i | −1.82678 | + | 0.416951i | ||||
\(713\) | 3.64220 | + | 15.9575i | 0.136402 | + | 0.597615i | ||||
\(714\) | −5.10180 | − | 41.7554i | −0.190930 | − | 1.56266i | ||||
\(715\) | 3.56276 | − | 15.6095i | 0.133240 | − | 0.583762i | ||||
\(716\) | − | 45.5751i | − | 1.70322i | ||||||
\(717\) | 12.4880 | − | 6.39730i | 0.466372 | − | 0.238912i | ||||
\(718\) | −10.2041 | + | 44.7072i | −0.380815 | + | 1.66846i | ||||
\(719\) | 26.4016 | − | 12.7143i | 0.984614 | − | 0.474165i | 0.128924 | − | 0.991654i | \(-0.458848\pi\) |
0.855690 | + | 0.517489i | \(0.173133\pi\) | |||||||
\(720\) | 0.710949 | − | 0.0350385i | 0.0264955 | − | 0.00130581i | ||||
\(721\) | 5.08374 | − | 3.08727i | 0.189328 | − | 0.114976i | ||||
\(722\) | 14.4824 | + | 11.5493i | 0.538980 | + | 0.429822i | ||||
\(723\) | −9.35544 | − | 36.7890i | −0.347933 | − | 1.36820i | ||||
\(724\) | 15.0921 | + | 12.0355i | 0.560893 | + | 0.447297i | ||||
\(725\) | −7.88287 | − | 16.3689i | −0.292762 | − | 0.607927i | ||||
\(726\) | 38.3257 | + | 17.3076i | 1.42240 | + | 0.642344i | ||||
\(727\) | 8.72737 | − | 18.1226i | 0.323680 | − | 0.672129i | −0.674106 | − | 0.738635i | \(-0.735471\pi\) |
0.997786 | + | 0.0665058i | \(0.0211851\pi\) | |||||||
\(728\) | 20.1730 | + | 2.58488i | 0.747661 | + | 0.0958020i | ||||
\(729\) | −26.7059 | + | 3.97429i | −0.989107 | + | 0.147196i | ||||
\(730\) | 6.61913 | + | 3.18760i | 0.244985 | + | 0.117978i | ||||
\(731\) | −9.83797 | − | 43.1030i | −0.363871 | − | 1.59422i | ||||
\(732\) | −48.4577 | + | 1.19337i | −1.79105 | + | 0.0441082i | ||||
\(733\) | −31.8590 | − | 25.4067i | −1.17674 | − | 0.938417i | −0.177780 | − | 0.984070i | \(-0.556892\pi\) |
−0.998957 | + | 0.0456536i | \(0.985463\pi\) | |||||||
\(734\) | −8.24793 | −0.304437 | ||||||||
\(735\) | 14.7390 | + | 0.0863826i | 0.543656 | + | 0.00318627i | ||||
\(736\) | 18.1660 | 0.669606 | ||||||||
\(737\) | 23.8566 | + | 19.0250i | 0.878769 | + | 0.700795i | ||||
\(738\) | 19.3078 | + | 35.5077i | 0.710731 | + | 1.30706i | ||||
\(739\) | −6.45473 | − | 28.2800i | −0.237441 | − | 1.04030i | −0.943299 | − | 0.331944i | \(-0.892296\pi\) |
0.705858 | − | 0.708353i | \(-0.250562\pi\) | |||||||
\(740\) | −5.19967 | − | 2.50403i | −0.191144 | − | 0.0920500i | ||||
\(741\) | 20.3483 | + | 15.4232i | 0.747512 | + | 0.566584i | ||||
\(742\) | 7.08534 | + | 11.6673i | 0.260111 | + | 0.428319i | ||||
\(743\) | 13.3919 | − | 27.8086i | 0.491301 | − | 1.02020i | −0.497010 | − | 0.867745i | \(-0.665569\pi\) |
0.988311 | − | 0.152453i | \(-0.0487171\pi\) | |||||||
\(744\) | 10.2524 | − | 22.7028i | 0.375871 | − | 0.832324i | ||||
\(745\) | −3.69807 | − | 7.67912i | −0.135487 | − | 0.281341i | ||||
\(746\) | −57.4224 | − | 45.7929i | −2.10238 | − | 1.67660i | ||||
\(747\) | −4.53752 | − | 5.14809i | −0.166019 | − | 0.188359i | ||||
\(748\) | 46.7854 | + | 37.3101i | 1.71064 | + | 1.36419i | ||||
\(749\) | 40.2249 | − | 3.91241i | 1.46979 | − | 0.142956i | ||||
\(750\) | 37.2642 | + | 16.8282i | 1.36069 | + | 0.614478i | ||||
\(751\) | 30.1918 | − | 14.5396i | 1.10172 | − | 0.530558i | 0.207518 | − | 0.978231i | \(-0.433461\pi\) |
0.894197 | + | 0.447673i | \(0.147747\pi\) | |||||||
\(752\) | −0.0323639 | + | 0.141796i | −0.00118019 | + | 0.00517075i | ||||
\(753\) | −14.2680 | − | 27.8522i | −0.519956 | − | 1.01499i | ||||
\(754\) | 33.2651i | 1.21144i | ||||||||
\(755\) | 4.02708 | − | 17.6438i | 0.146561 | − | 0.642124i | ||||
\(756\) | −42.1981 | − | 12.0418i | −1.53473 | − | 0.437954i | ||||
\(757\) | 2.95644 | + | 12.9530i | 0.107454 | + | 0.470785i | 0.999811 | + | 0.0194552i | \(0.00619317\pi\) |
−0.892357 | + | 0.451330i | \(0.850950\pi\) | |||||||
\(758\) | −0.297498 | + | 0.0679020i | −0.0108056 | + | 0.00246631i | ||||
\(759\) | −10.2542 | + | 22.7067i | −0.372202 | + | 0.824201i | ||||
\(760\) | −10.7228 | − | 13.4459i | −0.388955 | − | 0.487734i | ||||
\(761\) | −2.99957 | − | 13.1420i | −0.108734 | − | 0.476396i | −0.999749 | − | 0.0224208i | \(-0.992863\pi\) |
0.891014 | − | 0.453975i | \(-0.149994\pi\) | |||||||
\(762\) | −51.4871 | − | 61.3988i | −1.86518 | − | 2.22424i | ||||
\(763\) | 3.24326 | − | 1.07967i | 0.117414 | − | 0.0390867i | ||||
\(764\) | 47.4652 | + | 10.8336i | 1.71723 | + | 0.391947i | ||||
\(765\) | −8.58400 | + | 11.9239i | −0.310355 | + | 0.431111i | ||||
\(766\) | 40.1408i | 1.45035i | ||||||||
\(767\) | −20.6177 | − | 4.70585i | −0.744460 | − | 0.169918i | ||||
\(768\) | −20.3131 | − | 15.3965i | −0.732985 | − | 0.555574i | ||||
\(769\) | −1.20617 | + | 0.961889i | −0.0434956 | + | 0.0346866i | −0.644996 | − | 0.764186i | \(-0.723141\pi\) |
0.601501 | + | 0.798872i | \(0.294570\pi\) | |||||||
\(770\) | −24.4804 | + | 23.7453i | −0.882213 | + | 0.855722i | ||||
\(771\) | −12.3645 | − | 2.50354i | −0.445296 | − | 0.0901627i | ||||
\(772\) | 7.65523 | − | 33.5398i | 0.275518 | − | 1.20712i | ||||
\(773\) | −9.57734 | + | 12.0096i | −0.344473 | + | 0.431956i | −0.923645 | − | 0.383250i | \(-0.874805\pi\) |
0.579172 | + | 0.815206i | \(0.303376\pi\) | |||||||
\(774\) | −73.8708 | − | 13.0728i | −2.65523 | − | 0.469893i | ||||
\(775\) | −14.5814 | + | 11.6283i | −0.523780 | + | 0.417701i | ||||
\(776\) | −5.98302 | − | 2.88127i | −0.214778 | − | 0.103432i | ||||
\(777\) | −4.86428 | − | 4.77387i | −0.174505 | − | 0.171262i | ||||
\(778\) | 52.0324 | − | 25.0575i | 1.86545 | − | 0.898354i | ||||
\(779\) | −13.3622 | + | 27.7468i | −0.478750 | + | 0.994134i | ||||
\(780\) | −12.2226 | − | 14.5755i | −0.437639 | − | 0.521887i | ||||
\(781\) | 9.99155 | + | 4.81168i | 0.357526 | + | 0.172175i | ||||
\(782\) | −17.6915 | + | 22.1844i | −0.632645 | + | 0.793312i | ||||
\(783\) | 4.01954 | − | 26.5001i | 0.143647 | − | 0.947035i | ||||
\(784\) | 1.04171 | + | 0.883994i | 0.0372039 | + | 0.0315712i | ||||
\(785\) | − | 10.1557i | − | 0.362473i | ||||||
\(786\) | −4.97364 | + | 24.5638i | −0.177404 | + | 0.876163i | ||||
\(787\) | −13.9060 | + | 28.8762i | −0.495697 | + | 1.02932i | 0.491657 | + | 0.870789i | \(0.336392\pi\) |
−0.987353 | + | 0.158535i | \(0.949323\pi\) | |||||||
\(788\) | 42.9651 | − | 9.80651i | 1.53057 | − | 0.349342i | ||||
\(789\) | −10.0519 | + | 0.247550i | −0.357858 | + | 0.00881300i | ||||
\(790\) | −16.5085 | − | 34.2802i | −0.587346 | − | 1.21964i | ||||
\(791\) | −6.12435 | + | 0.595675i | −0.217757 | + | 0.0211798i | ||||
\(792\) | 33.3115 | − | 18.1136i | 1.18367 | − | 0.643639i | ||||
\(793\) | −15.4710 | − | 19.4001i | −0.549393 | − | 0.688916i | ||||
\(794\) | −27.9165 | + | 13.4439i | −0.990720 | + | 0.477106i | ||||
\(795\) | 0.946135 | − | 4.67277i | 0.0335559 | − | 0.165726i | ||||
\(796\) | 63.7485 | + | 14.5502i | 2.25950 | + | 0.515717i | ||||
\(797\) | 7.45030 | − | 9.34238i | 0.263903 | − | 0.330924i | −0.632171 | − | 0.774829i | \(-0.717836\pi\) |
0.896074 | + | 0.443905i | \(0.146407\pi\) | |||||||
\(798\) | −18.4437 | − | 51.1645i | −0.652901 | − | 1.81120i | ||||
\(799\) | −1.87174 | − | 2.34709i | −0.0662174 | − | 0.0830340i | ||||
\(800\) | 8.98101 | + | 18.6493i | 0.317527 | + | 0.659351i | ||||
\(801\) | 36.5158 | + | 41.4294i | 1.29022 | + | 1.46383i | ||||
\(802\) | 53.5764 | 1.89185 | ||||||||
\(803\) | −12.3421 | −0.435543 | ||||||||
\(804\) | 35.1341 | − | 8.93460i | 1.23908 | − | 0.315099i | ||||
\(805\) | −6.92218 | − | 7.13647i | −0.243975 | − | 0.251527i | ||||
\(806\) | 33.2918 | − | 7.59864i | 1.17265 | − | 0.267651i | ||||
\(807\) | −19.0849 | + | 16.0040i | −0.671820 | + | 0.563368i | ||||
\(808\) | −37.0968 | + | 29.5838i | −1.30506 | + | 1.04075i | ||||
\(809\) | 25.5321 | − | 20.3612i | 0.897660 | − | 0.715860i | −0.0616850 | − | 0.998096i | \(-0.519647\pi\) |
0.959345 | + | 0.282236i | \(0.0910760\pi\) | |||||||
\(810\) | 12.9730 | + | 21.2889i | 0.455825 | + | 0.748015i | ||||
\(811\) | −25.4001 | + | 5.79742i | −0.891919 | + | 0.203575i | −0.643836 | − | 0.765164i | \(-0.722658\pi\) |
−0.248084 | + | 0.968739i | \(0.579801\pi\) | |||||||
\(812\) | 23.7362 | − | 36.5281i | 0.832978 | − | 1.28188i | ||||
\(813\) | −5.99681 | − | 23.5816i | −0.210317 | − | 0.827044i | ||||
\(814\) | 15.7702 | 0.552745 | ||||||||
\(815\) | 7.89501 | 0.276550 | ||||||||
\(816\) | −1.31988 | + | 0.335646i | −0.0462051 | + | 0.0117500i | ||||
\(817\) | −24.8013 | − | 51.5005i | −0.867688 | − | 1.80177i | ||||
\(818\) | 4.01673 | + | 5.03682i | 0.140442 | + | 0.176108i | ||||
\(819\) | −8.13596 | − | 20.9390i | −0.284293 | − | 0.731667i | ||||
\(820\) | 14.3051 | − | 17.9380i | 0.499556 | − | 0.626423i | ||||
\(821\) | −29.4349 | − | 6.71833i | −1.02729 | − | 0.234471i | −0.324510 | − | 0.945882i | \(-0.605199\pi\) |
−0.702776 | + | 0.711411i | \(0.748057\pi\) | |||||||
\(822\) | −72.4788 | − | 14.6754i | −2.52799 | − | 0.511863i | ||||
\(823\) | 39.4542 | − | 19.0001i | 1.37529 | − | 0.662303i | 0.407298 | − | 0.913295i | \(-0.366471\pi\) |
0.967989 | + | 0.250992i | \(0.0807568\pi\) | |||||||
\(824\) | 3.80691 | + | 4.77371i | 0.132620 | + | 0.166300i | ||||
\(825\) | −28.3803 | + | 0.698924i | −0.988076 | + | 0.0243334i | ||||
\(826\) | 31.3638 | + | 32.3347i | 1.09129 | + | 1.12507i | ||||
\(827\) | 14.4237 | + | 29.9512i | 0.501562 | + | 1.04150i | 0.986010 | + | 0.166684i | \(0.0533061\pi\) |
−0.484448 | + | 0.874820i | \(0.660980\pi\) | |||||||
\(828\) | 14.1403 | + | 26.0044i | 0.491409 | + | 0.903716i | ||||
\(829\) | −19.2613 | + | 4.39627i | −0.668973 | + | 0.152689i | −0.543501 | − | 0.839408i | \(-0.682902\pi\) |
−0.125472 | + | 0.992097i | \(0.540044\pi\) | |||||||
\(830\) | −2.74922 | + | 5.70881i | −0.0954267 | + | 0.198156i | ||||
\(831\) | −9.74678 | − | 1.97351i | −0.338112 | − | 0.0684603i | ||||
\(832\) | − | 36.7944i | − | 1.27562i | ||||||
\(833\) | −27.6716 | + | 5.43428i | −0.958765 | + | 0.188287i | ||||
\(834\) | 20.5315 | + | 40.0789i | 0.710947 | + | 1.38782i | ||||
\(835\) | −2.85057 | + | 3.57450i | −0.0986481 | + | 0.123701i | ||||
\(836\) | 69.7066 | + | 33.5689i | 2.41085 | + | 1.16100i | ||||
\(837\) | −27.4395 | + | 2.03055i | −0.948448 | + | 0.0701860i | ||||
\(838\) | −2.40597 | + | 4.99606i | −0.0831130 | + | 0.172586i | ||||
\(839\) | −0.947402 | + | 0.456245i | −0.0327079 | + | 0.0157513i | −0.450166 | − | 0.892945i | \(-0.648635\pi\) |
0.417458 | + | 0.908696i | \(0.362921\pi\) | |||||||
\(840\) | 1.83510 | + | 15.0192i | 0.0633169 | + | 0.518213i | ||||
\(841\) | −2.15534 | − | 1.03795i | −0.0743219 | − | 0.0357915i | ||||
\(842\) | −22.8464 | + | 18.2194i | −0.787339 | + | 0.627882i | ||||
\(843\) | −8.17483 | + | 10.7853i | −0.281556 | + | 0.371465i | ||||
\(844\) | −10.1655 | + | 12.7471i | −0.349911 | + | 0.438775i | ||||
\(845\) | −1.34984 | + | 5.91404i | −0.0464359 | + | 0.203449i | ||||
\(846\) | −4.90437 | + | 1.37658i | −0.168616 | + | 0.0473279i | ||||
\(847\) | 9.71542 | − | 26.4642i | 0.333826 | − | 0.909320i | ||||
\(848\) | 0.345512 | − | 0.275537i | 0.0118649 | − | 0.00946197i | ||||
\(849\) | 9.81973 | − | 12.9555i | 0.337012 | − | 0.444631i | ||||
\(850\) | −31.5210 | − | 7.19446i | −1.08116 | − | 0.246768i | ||||
\(851\) | 4.59729i | 0.157593i | ||||||||
\(852\) | 11.7263 | − | 6.00711i | 0.401736 | − | 0.205800i | ||||
\(853\) | 12.4496 | + | 2.84153i | 0.426265 | + | 0.0972921i | 0.430271 | − | 0.902700i | \(-0.358418\pi\) |
−0.00400617 | + | 0.999992i | \(0.501275\pi\) | |||||||
\(854\) | 5.11673 | + | 52.6070i | 0.175091 | + | 1.80017i | ||||
\(855\) | −7.38953 | + | 17.4996i | −0.252717 | + | 0.598474i | ||||
\(856\) | 9.23211 | + | 40.4485i | 0.315547 | + | 1.38250i | ||||
\(857\) | 11.7847 | + | 14.7775i | 0.402557 | + | 0.504790i | 0.941249 | − | 0.337712i | \(-0.109653\pi\) |
−0.538693 | + | 0.842502i | \(0.681082\pi\) | |||||||
\(858\) | 47.3724 | + | 21.3930i | 1.61727 | + | 0.730345i | ||||
\(859\) | 18.8033 | − | 4.29173i | 0.641560 | − | 0.146432i | 0.110649 | − | 0.993860i | \(-0.464707\pi\) |
0.530911 | + | 0.847428i | \(0.321850\pi\) | |||||||
\(860\) | 9.47611 | + | 41.5175i | 0.323133 | + | 1.41574i | ||||
\(861\) | 22.8060 | − | 14.6301i | 0.777225 | − | 0.498593i | ||||
\(862\) | 8.40630 | − | 36.8304i | 0.286320 | − | 1.25445i | ||||
\(863\) | − | 26.8824i | − | 0.915087i | −0.889187 | − | 0.457543i | \(-0.848729\pi\) | ||
0.889187 | − | 0.457543i | \(-0.151271\pi\) | |||||||
\(864\) | −4.57950 | + | 30.1917i | −0.155798 | + | 1.02714i | ||||
\(865\) | 4.10908 | − | 18.0031i | 0.139713 | − | 0.612123i | ||||
\(866\) | 18.2269 | − | 8.77763i | 0.619376 | − | 0.298276i | ||||
\(867\) | −0.549191 | + | 1.21612i | −0.0186515 | + | 0.0413017i | ||||
\(868\) | −41.9794 | − | 15.4113i | −1.42487 | − | 0.523093i | ||||
\(869\) | 49.9741 | + | 39.8530i | 1.69526 | + | 1.35192i | ||||
\(870\) | −23.9851 | + | 6.09940i | −0.813170 | + | 0.206789i | ||||
\(871\) | 14.5092 | + | 11.5707i | 0.491627 | + | 0.392059i | ||||
\(872\) | 1.52254 | + | 3.16158i | 0.0515596 | + | 0.107065i | ||||
\(873\) | 0.361053 | + | 7.32597i | 0.0122198 | + | 0.247947i | ||||
\(874\) | −15.9175 | + | 33.0530i | −0.538417 | + | 1.11803i | ||||
\(875\) | 9.44632 | − | 25.7312i | 0.319344 | − | 0.869872i | ||||
\(876\) | −8.85736 | + | 11.6858i | −0.299262 | + | 0.394826i | ||||
\(877\) | −13.5239 | − | 6.51277i | −0.456670 | − | 0.219921i | 0.191384 | − | 0.981515i | \(-0.438703\pi\) |
−0.648054 | + | 0.761595i | \(0.724417\pi\) | |||||||
\(878\) | −4.12134 | − | 18.0568i | −0.139089 | − | 0.609387i | ||||
\(879\) | 0.531765 | + | 21.5927i | 0.0179360 | + | 0.728304i | ||||
\(880\) | 0.863255 | + | 0.688423i | 0.0291003 | + | 0.0232067i | ||||
\(881\) | −16.2425 | −0.547225 | −0.273613 | − | 0.961840i | \(-0.588219\pi\) | ||||
−0.273613 | + | 0.961840i | \(0.588219\pi\) | |||||||
\(882\) | −9.77068 | + | 46.8423i | −0.328996 | + | 1.57726i | ||||
\(883\) | 3.25846 | 0.109656 | 0.0548280 | − | 0.998496i | \(-0.482539\pi\) | ||||
0.0548280 | + | 0.998496i | \(0.482539\pi\) | |||||||
\(884\) | 28.4542 | + | 22.6915i | 0.957019 | + | 0.763197i | ||||
\(885\) | −0.387353 | − | 15.7288i | −0.0130207 | − | 0.528716i | ||||
\(886\) | −10.1415 | − | 44.4329i | −0.340711 | − | 1.49275i | ||||
\(887\) | −34.3334 | − | 16.5341i | −1.15280 | − | 0.555160i | −0.242928 | − | 0.970044i | \(-0.578108\pi\) |
−0.909874 | + | 0.414884i | \(0.863822\pi\) | |||||||
\(888\) | 4.22633 | − | 5.57592i | 0.141826 | − | 0.187116i | ||||
\(889\) | −38.5583 | + | 37.4005i | −1.29320 | + | 1.25437i | ||||
\(890\) | 22.1244 | − | 45.9417i | 0.741610 | − | 1.53997i | ||||
\(891\) | −35.1534 | − | 22.7665i | −1.17768 | − | 0.762707i | ||||
\(892\) | −9.72108 | − | 20.1860i | −0.325486 | − | 0.675878i | ||||
\(893\) | −3.03456 | − | 2.41998i | −0.101548 | − | 0.0809816i | ||||
\(894\) | 26.8167 | − | 6.81949i | 0.896885 | − | 0.228078i | ||||
\(895\) | 13.5705 | + | 10.8221i | 0.453612 | + | 0.361743i | ||||
\(896\) | −25.7606 | + | 39.6434i | −0.860602 | + | 1.32439i | ||||
\(897\) | −6.23643 | + | 13.8099i | −0.208229 | + | 0.461099i | ||||
\(898\) | 68.4093 | − | 32.9442i | 2.28285 | − | 1.09936i | ||||
\(899\) | 6.07792 | − | 26.6291i | 0.202710 | − | 0.888131i | ||||
\(900\) | −19.7055 | + | 27.3727i | −0.656850 | + | 0.912424i | ||||
\(901\) | 9.12171i | 0.303888i | ||||||||
\(902\) | −13.9509 | + | 61.1230i | −0.464515 | + | 2.03517i | ||||
\(903\) | −5.16177 | + | 50.0254i | −0.171773 | + | 1.66474i | ||||
\(904\) | −1.40562 | − | 6.15840i | −0.0467501 | − | 0.204825i | ||||
\(905\) | −7.16743 | + | 1.63592i | −0.238254 | + | 0.0543798i | ||||
\(906\) | 53.5463 | + | 24.1811i | 1.77896 | + | 0.803362i | ||||
\(907\) | −21.0969 | − | 26.4547i | −0.700512 | − | 0.878414i | 0.296550 | − | 0.955017i | \(-0.404164\pi\) |
−0.997062 | + | 0.0766036i | \(0.975592\pi\) | |||||||
\(908\) | 18.0818 | + | 79.2213i | 0.600064 | + | 2.62905i | ||||
\(909\) | 48.2809 | + | 20.3875i | 1.60138 | + | 0.676211i | ||||
\(910\) | −14.8886 | + | 14.4416i | −0.493553 | + | 0.478733i | ||||
\(911\) | 13.7758 | + | 3.14424i | 0.456413 | + | 0.104173i | 0.444546 | − | 0.895756i | \(-0.353365\pi\) |
0.0118676 | + | 0.999930i | \(0.496222\pi\) | |||||||
\(912\) | −1.56713 | + | 0.802806i | −0.0518929 | + | 0.0265836i | ||||
\(913\) | − | 10.6447i | − | 0.352288i | ||||||
\(914\) | 22.1458 | + | 5.05463i | 0.732517 | + | 0.167192i | ||||
\(915\) | 11.1513 | − | 14.7122i | 0.368649 | − | 0.486370i | ||||
\(916\) | −19.8448 | + | 15.8257i | −0.655690 | + | 0.522896i | ||||
\(917\) | 16.6650 | + | 2.13538i | 0.550328 | + | 0.0705166i | ||||
\(918\) | −32.4104 | − | 34.9956i | −1.06970 | − | 1.15503i | ||||
\(919\) | 10.1887 | − | 44.6394i | 0.336093 | − | 1.47252i | −0.471020 | − | 0.882122i | \(-0.656114\pi\) |
0.807113 | − | 0.590397i | \(-0.201029\pi\) | |||||||
\(920\) | 6.36354 | − | 7.97963i | 0.209800 | − | 0.263081i | ||||
\(921\) | −4.56618 | + | 6.02430i | −0.150461 | + | 0.198507i | ||||
\(922\) | 57.4785 | − | 45.8376i | 1.89295 | − | 1.50958i | ||||
\(923\) | 6.07672 | + | 2.92639i | 0.200018 | + | 0.0963234i | ||||
\(924\) | −36.7543 | − | 57.2939i | −1.20913 | − | 1.88483i | ||||
\(925\) | −4.71959 | + | 2.27284i | −0.155179 | + | 0.0747304i | ||||
\(926\) | −8.72877 | + | 18.1255i | −0.286845 | + | 0.595640i | ||||
\(927\) | 2.62351 | − | 6.21290i | 0.0861675 | − | 0.204059i | ||||
\(928\) | −27.3123 | − | 13.1529i | −0.896571 | − | 0.431766i | ||||
\(929\) | 33.2796 | − | 41.7314i | 1.09187 | − | 1.36916i | 0.168298 | − | 0.985736i | \(-0.446173\pi\) |
0.923572 | − | 0.383425i | \(-0.125256\pi\) | |||||||
\(930\) | 11.5831 | + | 22.6111i | 0.379826 | + | 0.741446i | ||||
\(931\) | −33.3164 | + | 14.8109i | −1.09190 | + | 0.485409i | ||||
\(932\) | − | 28.5828i | − | 0.936260i | ||||||
\(933\) | 4.53354 | + | 0.917944i | 0.148422 | + | 0.0300521i | ||||
\(934\) | 3.70848 | − | 7.70074i | 0.121345 | − | 0.251976i | ||||
\(935\) | −22.2190 | + | 5.07134i | −0.726639 | + | 0.165851i | ||||
\(936\) | 20.2596 | − | 11.0164i | 0.662205 | − | 0.360083i | ||||
\(937\) | −9.34352 | − | 19.4020i | −0.305239 | − | 0.633836i | 0.690771 | − | 0.723074i | \(-0.257271\pi\) |
−0.996010 | + | 0.0892374i | \(0.971557\pi\) | |||||||
\(938\) | −12.4858 | − | 37.5066i | −0.407677 | − | 1.22463i | ||||
\(939\) | −30.0543 | + | 0.740148i | −0.980783 | + | 0.0241538i | ||||
\(940\) | 1.80289 | + | 2.26076i | 0.0588039 | + | 0.0737377i | ||||
\(941\) | −45.6320 | + | 21.9752i | −1.48756 | + | 0.716371i | −0.988644 | − | 0.150279i | \(-0.951983\pi\) |
−0.498916 | + | 0.866650i | \(0.666268\pi\) | |||||||
\(942\) | 32.3145 | + | 6.54297i | 1.05286 | + | 0.213182i | ||||
\(943\) | −17.8184 | − | 4.06694i | −0.580247 | − | 0.132438i | ||||
\(944\) | 0.909297 | − | 1.14022i | 0.0295951 | − | 0.0371111i | ||||
\(945\) | 13.6058 | − | 9.70556i | 0.442596 | − | 0.315722i | ||||
\(946\) | −72.5536 | − | 90.9793i | −2.35892 | − | 2.95799i | ||||
\(947\) | −24.9201 | − | 51.7471i | −0.809793 | − | 1.68155i | −0.728686 | − | 0.684848i | \(-0.759869\pi\) |
−0.0811073 | − | 0.996705i | \(-0.525846\pi\) | |||||||
\(948\) | 73.5979 | − | 18.7159i | 2.39035 | − | 0.607866i | ||||
\(949\) | −7.50629 | −0.243664 | ||||||||
\(950\) | −41.8017 | −1.35623 | ||||||||
\(951\) | −0.517115 | − | 2.03348i | −0.0167686 | − | 0.0659402i | ||||
\(952\) | −9.14388 | − | 27.4676i | −0.296355 | − | 0.890230i | ||||
\(953\) | −47.7629 | + | 10.9016i | −1.54719 | + | 0.353136i | −0.909018 | − | 0.416757i | \(-0.863167\pi\) |
−0.638173 | + | 0.769893i | \(0.720310\pi\) | |||||||
\(954\) | 14.2587 | + | 6.02101i | 0.461643 | + | 0.194937i | ||||
\(955\) | −14.4968 | + | 11.5608i | −0.469104 | + | 0.374098i | ||||
\(956\) | 20.2167 | − | 16.1222i | 0.653853 | − | 0.521431i | ||||
\(957\) | 31.8577 | − | 26.7149i | 1.02981 | − | 0.863569i | ||||
\(958\) | 83.2314 | − | 18.9970i | 2.68909 | − | 0.613766i | ||||
\(959\) | −6.30073 | + | 49.1723i | −0.203461 | + | 1.58786i | ||||
\(960\) | 26.5298 | − | 6.74652i | 0.856245 | − | 0.217743i | ||||
\(961\) | 2.96114 | 0.0955208 | ||||||||
\(962\) | 9.59120 | 0.309233 | ||||||||
\(963\) | 34.3783 | − | 30.3010i | 1.10783 | − | 0.976436i | ||||
\(964\) | −30.3529 | − | 63.0284i | −0.977600 | − | 2.03001i | ||||
\(965\) | 8.16905 | + | 10.2437i | 0.262971 | + | 0.329755i | ||||
\(966\) | 27.1672 | − | 17.4279i | 0.874091 | − | 0.560733i | ||||
\(967\) | −38.0675 | + | 47.7351i | −1.22417 | + | 1.53506i | −0.463224 | + | 0.886241i | \(0.653307\pi\) |
−0.760944 | + | 0.648817i | \(0.775264\pi\) | |||||||
\(968\) | 28.2148 | + | 6.43984i | 0.906857 | + | 0.206984i | ||||
\(969\) | 7.21255 | − | 35.6213i | 0.231700 | − | 1.14432i | ||||
\(970\) | 6.10188 | − | 2.93851i | 0.195920 | − | 0.0943499i | ||||
\(971\) | 9.26106 | + | 11.6130i | 0.297202 | + | 0.372679i | 0.907902 | − | 0.419183i | \(-0.137683\pi\) |
−0.610700 | + | 0.791862i | \(0.709112\pi\) | |||||||
\(972\) | −46.7838 | + | 16.9455i | −1.50059 | + | 0.543528i | ||||
\(973\) | 25.8031 | − | 15.6698i | 0.827208 | − | 0.502349i | ||||
\(974\) | −12.6703 | − | 26.3102i | −0.405984 | − | 0.843034i | ||||
\(975\) | −17.2605 | + | 0.425076i | −0.552779 | + | 0.0136133i | ||||
\(976\) | 1.66829 | − | 0.380777i | 0.0534007 | − | 0.0121884i | ||||
\(977\) | 6.36068 | − | 13.2081i | 0.203496 | − | 0.422564i | −0.774097 | − | 0.633067i | \(-0.781796\pi\) |
0.977593 | + | 0.210503i | \(0.0675101\pi\) | |||||||
\(978\) | −5.08648 | + | 25.1211i | −0.162648 | + | 0.803284i | ||||
\(979\) | 85.6635i | 2.73782i | ||||||||
\(980\) | 26.6538 | − | 5.23439i | 0.851424 | − | 0.167206i | ||||
\(981\) | 2.26451 | − | 3.14561i | 0.0723001 | − | 0.100431i | ||||
\(982\) | −51.4466 | + | 64.5120i | −1.64173 | + | 2.05866i | ||||
\(983\) | −52.1166 | − | 25.0980i | −1.66226 | − | 0.800503i | −0.998624 | − | 0.0524492i | \(-0.983297\pi\) |
−0.663638 | − | 0.748054i | \(-0.730988\pi\) | |||||||
\(984\) | 17.8727 | + | 21.3133i | 0.569761 | + | 0.679444i | ||||
\(985\) | −7.28235 | + | 15.1220i | −0.232035 | + | 0.481826i | ||||
\(986\) | 42.6614 | − | 20.5446i | 1.35861 | − | 0.654274i | ||||
\(987\) | 1.15804 | + | 3.21250i | 0.0368608 | + | 0.102255i | ||||
\(988\) | 42.3945 | + | 20.4161i | 1.34875 | + | 0.649524i | ||||
\(989\) | 26.5221 | − | 21.1506i | 0.843353 | − | 0.672551i | ||||
\(990\) | −6.73887 | + | 38.0794i | −0.214175 | + | 1.21024i | ||||
\(991\) | −9.54219 | + | 11.9655i | −0.303118 | + | 0.380097i | −0.909940 | − | 0.414740i | \(-0.863873\pi\) |
0.606822 | + | 0.794838i | \(0.292444\pi\) | |||||||
\(992\) | −6.92462 | + | 30.3387i | −0.219857 | + | 0.963256i | ||||
\(993\) | 10.6169 | + | 2.14969i | 0.336916 | + | 0.0682182i | ||||
\(994\) | −7.45727 | − | 12.2797i | −0.236530 | − | 0.389489i | ||||
\(995\) | −19.4700 | + | 15.5268i | −0.617240 | + | 0.492232i | ||||
\(996\) | −10.0787 | − | 7.63922i | −0.319354 | − | 0.242058i | ||||
\(997\) | −22.9953 | − | 5.24852i | −0.728268 | − | 0.166222i | −0.157717 | − | 0.987484i | \(-0.550413\pi\) |
−0.570551 | + | 0.821262i | \(0.693270\pi\) | |||||||
\(998\) | 36.8438i | 1.16627i | ||||||||
\(999\) | −7.64066 | − | 1.15894i | −0.241740 | − | 0.0366672i |
(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 | 147.2.k.a.104.2 | yes | 96 | |
3.2 | odd | 2 | inner | 147.2.k.a.104.15 | yes | 96 | |
49.41 | odd | 14 | inner | 147.2.k.a.41.15 | yes | 96 | |
147.41 | even | 14 | inner | 147.2.k.a.41.2 | ✓ | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.k.a.41.2 | ✓ | 96 | 147.41 | even | 14 | inner | |
147.2.k.a.41.15 | yes | 96 | 49.41 | odd | 14 | inner | |
147.2.k.a.104.2 | yes | 96 | 1.1 | even | 1 | trivial | |
147.2.k.a.104.15 | yes | 96 | 3.2 | odd | 2 | inner |