Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), 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: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 29.11 |
Dual form | 29.3.f.a.8.3 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{25}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0310749 | + | 0.0108736i | −0.0155375 | + | 0.00543680i | −0.338037 | − | 0.941133i | \(-0.609763\pi\) |
0.322499 | + | 0.946570i | \(0.395477\pi\) | |||||||
\(3\) | 0.529545 | + | 4.69985i | 0.176515 | + | 1.56662i | 0.699726 | + | 0.714412i | \(0.253306\pi\) |
−0.523211 | + | 0.852203i | \(0.675266\pi\) | |||||||
\(4\) | −3.12648 | + | 2.49328i | −0.781620 | + | 0.623321i | ||||
\(5\) | 3.79007 | − | 7.87017i | 0.758015 | − | 1.57403i | −0.0595693 | − | 0.998224i | \(-0.518973\pi\) |
0.817584 | − | 0.575809i | \(-0.195313\pi\) | |||||||
\(6\) | −0.0675598 | − | 0.140289i | −0.0112600 | − | 0.0233816i | ||||
\(7\) | 3.62612 | − | 4.54701i | 0.518017 | − | 0.649572i | −0.452170 | − | 0.891932i | \(-0.649350\pi\) |
0.970187 | + | 0.242360i | \(0.0779214\pi\) | |||||||
\(8\) | 0.140107 | − | 0.222980i | 0.0175134 | − | 0.0278724i | ||||
\(9\) | −13.0338 | + | 2.97487i | −1.44820 | + | 0.330542i | ||||
\(10\) | −0.0321993 | + | 0.285777i | −0.00321993 | + | 0.0285777i | ||||
\(11\) | 3.95365 | + | 6.29219i | 0.359422 | + | 0.572017i | 0.976668 | − | 0.214753i | \(-0.0688946\pi\) |
−0.617246 | + | 0.786770i | \(0.711752\pi\) | |||||||
\(12\) | −13.3737 | − | 13.3737i | −1.11447 | − | 1.11447i | ||||
\(13\) | −10.7515 | − | 2.45395i | −0.827037 | − | 0.188766i | −0.212006 | − | 0.977268i | \(-0.567999\pi\) |
−0.615031 | + | 0.788503i | \(0.710857\pi\) | |||||||
\(14\) | −0.0632391 | + | 0.180727i | −0.00451708 | + | 0.0129091i | ||||
\(15\) | 38.9956 | + | 13.6451i | 2.59971 | + | 0.909676i | ||||
\(16\) | 3.55744 | − | 15.5862i | 0.222340 | − | 0.974135i | ||||
\(17\) | −4.26171 | + | 4.26171i | −0.250689 | + | 0.250689i | −0.821253 | − | 0.570564i | \(-0.806725\pi\) |
0.570564 | + | 0.821253i | \(0.306725\pi\) | |||||||
\(18\) | 0.372676 | − | 0.234168i | 0.0207042 | − | 0.0130093i | ||||
\(19\) | −13.0613 | − | 1.47165i | −0.687436 | − | 0.0774554i | −0.238664 | − | 0.971102i | \(-0.576710\pi\) |
−0.448771 | + | 0.893647i | \(0.648138\pi\) | |||||||
\(20\) | 7.77298 | + | 34.0556i | 0.388649 | + | 1.70278i | ||||
\(21\) | 23.2904 | + | 14.6343i | 1.10907 | + | 0.696873i | ||||
\(22\) | −0.191278 | − | 0.152539i | −0.00869445 | − | 0.00693360i | ||||
\(23\) | −6.32686 | + | 3.04685i | −0.275081 | + | 0.132472i | −0.566339 | − | 0.824173i | \(-0.691641\pi\) |
0.291258 | + | 0.956645i | \(0.405926\pi\) | |||||||
\(24\) | 1.12216 | + | 0.540405i | 0.0467568 | + | 0.0225169i | ||||
\(25\) | −31.9876 | − | 40.1112i | −1.27951 | − | 1.60445i | ||||
\(26\) | 0.360785 | − | 0.0406507i | 0.0138763 | − | 0.00156349i | ||||
\(27\) | −6.82468 | − | 19.5038i | −0.252766 | − | 0.722364i | ||||
\(28\) | 23.2571i | 0.830609i | ||||||||
\(29\) | 29.0000 | − | 0.0339620i | 0.999999 | − | 0.00117110i | ||||
\(30\) | −1.36016 | −0.0453386 | ||||||||
\(31\) | 2.37249 | − | 0.830170i | 0.0765319 | − | 0.0267797i | −0.291742 | − | 0.956497i | \(-0.594235\pi\) |
0.368273 | + | 0.929718i | \(0.379949\pi\) | |||||||
\(32\) | 0.176871 | + | 1.56977i | 0.00552722 | + | 0.0490554i | ||||
\(33\) | −27.4787 | + | 21.9135i | −0.832688 | + | 0.664046i | ||||
\(34\) | 0.0860924 | − | 0.178773i | 0.00253213 | − | 0.00525802i | ||||
\(35\) | −22.0425 | − | 45.7716i | −0.629784 | − | 1.30776i | ||||
\(36\) | 33.3326 | − | 41.7978i | 0.925906 | − | 1.16105i | ||||
\(37\) | −17.7197 | + | 28.2007i | −0.478910 | + | 0.762182i | −0.995571 | − | 0.0940085i | \(-0.970032\pi\) |
0.516661 | + | 0.856190i | \(0.327175\pi\) | |||||||
\(38\) | 0.421880 | − | 0.0962915i | 0.0111021 | − | 0.00253399i | ||||
\(39\) | 5.83981 | − | 51.8298i | 0.149739 | − | 1.32897i | ||||
\(40\) | −1.22387 | − | 1.94778i | −0.0305967 | − | 0.0486944i | ||||
\(41\) | −2.70371 | − | 2.70371i | −0.0659440 | − | 0.0659440i | 0.673366 | − | 0.739310i | \(-0.264848\pi\) |
−0.739310 | + | 0.673366i | \(0.764848\pi\) | |||||||
\(42\) | −0.882876 | − | 0.201511i | −0.0210209 | − | 0.00479787i | ||||
\(43\) | −11.9973 | + | 34.2863i | −0.279007 | + | 0.797356i | 0.716050 | + | 0.698049i | \(0.245948\pi\) |
−0.995057 | + | 0.0993068i | \(0.968337\pi\) | |||||||
\(44\) | −28.0492 | − | 9.81484i | −0.637482 | − | 0.223065i | ||||
\(45\) | −25.9862 | + | 113.853i | −0.577471 | + | 2.53007i | ||||
\(46\) | 0.163476 | − | 0.163476i | 0.00355384 | − | 0.00355384i | ||||
\(47\) | 7.75262 | − | 4.87130i | 0.164949 | − | 0.103645i | −0.447027 | − | 0.894520i | \(-0.647517\pi\) |
0.611977 | + | 0.790876i | \(0.290375\pi\) | |||||||
\(48\) | 75.1364 | + | 8.46584i | 1.56534 | + | 0.176372i | ||||
\(49\) | 3.37698 | + | 14.7955i | 0.0689180 | + | 0.301949i | ||||
\(50\) | 1.43017 | + | 0.898634i | 0.0286033 | + | 0.0179727i | ||||
\(51\) | −22.2862 | − | 17.7726i | −0.436984 | − | 0.348483i | ||||
\(52\) | 39.7327 | − | 19.1342i | 0.764090 | − | 0.367966i | ||||
\(53\) | 39.1941 | + | 18.8749i | 0.739511 | + | 0.356130i | 0.765417 | − | 0.643535i | \(-0.222533\pi\) |
−0.0259061 | + | 0.999664i | \(0.508247\pi\) | |||||||
\(54\) | 0.424153 | + | 0.531871i | 0.00785469 | + | 0.00984947i | ||||
\(55\) | 64.5052 | − | 7.26799i | 1.17282 | − | 0.132145i | ||||
\(56\) | −0.505844 | − | 1.44562i | −0.00903293 | − | 0.0258146i | ||||
\(57\) | − | 62.1653i | − | 1.09062i | ||||||
\(58\) | −0.900803 | + | 0.316389i | −0.0155311 | + | 0.00545499i | ||||
\(59\) | 70.7916 | 1.19986 | 0.599929 | − | 0.800054i | \(-0.295196\pi\) | ||||
0.599929 | + | 0.800054i | \(0.295196\pi\) | |||||||
\(60\) | −155.940 | + | 54.5658i | −2.59900 | + | 0.909430i | ||||
\(61\) | −11.5282 | − | 102.316i | −0.188988 | − | 1.67731i | −0.627524 | − | 0.778597i | \(-0.715932\pi\) |
0.438537 | − | 0.898713i | \(-0.355497\pi\) | |||||||
\(62\) | −0.0646980 | + | 0.0515949i | −0.00104352 | + | 0.000832176i | ||||
\(63\) | −33.7352 | + | 70.0519i | −0.535480 | + | 1.11194i | ||||
\(64\) | 27.7234 | + | 57.5683i | 0.433178 | + | 0.899504i | ||||
\(65\) | −60.0619 | + | 75.3153i | −0.924030 | + | 1.15870i | ||||
\(66\) | 0.615620 | − | 0.979753i | 0.00932757 | − | 0.0148447i | ||||
\(67\) | 26.2176 | − | 5.98401i | 0.391308 | − | 0.0893135i | −0.0223398 | − | 0.999750i | \(-0.507112\pi\) |
0.413648 | + | 0.910437i | \(0.364254\pi\) | |||||||
\(68\) | 2.69850 | − | 23.9498i | 0.0396838 | − | 0.352203i | ||||
\(69\) | −17.6701 | − | 28.1218i | −0.256088 | − | 0.407562i | ||||
\(70\) | 1.18267 | + | 1.18267i | 0.0168953 | + | 0.0168953i | ||||
\(71\) | −93.3221 | − | 21.3002i | −1.31440 | − | 0.300002i | −0.492835 | − | 0.870123i | \(-0.664039\pi\) |
−0.821561 | + | 0.570121i | \(0.806896\pi\) | |||||||
\(72\) | −1.16279 | + | 3.32307i | −0.0161499 | + | 0.0461537i | ||||
\(73\) | −83.5084 | − | 29.2208i | −1.14395 | − | 0.400286i | −0.309245 | − | 0.950982i | \(-0.600076\pi\) |
−0.834705 | + | 0.550697i | \(0.814362\pi\) | |||||||
\(74\) | 0.243995 | − | 1.06901i | 0.00329723 | − | 0.0144461i | ||||
\(75\) | 171.578 | − | 171.578i | 2.28770 | − | 2.28770i | ||||
\(76\) | 44.5050 | − | 27.9644i | 0.585593 | − | 0.367952i | ||||
\(77\) | 42.9470 | + | 4.83897i | 0.557753 | + | 0.0628437i | ||||
\(78\) | 0.382104 | + | 1.67411i | 0.00489877 | + | 0.0214629i | ||||
\(79\) | 51.8104 | + | 32.5546i | 0.655828 | + | 0.412084i | 0.818429 | − | 0.574608i | \(-0.194846\pi\) |
−0.162601 | + | 0.986692i | \(0.551988\pi\) | |||||||
\(80\) | −109.183 | − | 87.0704i | −1.36478 | − | 1.08838i | ||||
\(81\) | −20.3542 | + | 9.80207i | −0.251286 | + | 0.121013i | ||||
\(82\) | 0.113416 | + | 0.0546185i | 0.00138313 | + | 0.000666079i | ||||
\(83\) | 18.9679 | + | 23.7849i | 0.228528 | + | 0.286566i | 0.882854 | − | 0.469647i | \(-0.155619\pi\) |
−0.654326 | + | 0.756213i | \(0.727047\pi\) | |||||||
\(84\) | −109.305 | + | 12.3157i | −1.30124 | + | 0.146615i | ||||
\(85\) | 17.3882 | + | 49.6926i | 0.204567 | + | 0.584619i | ||||
\(86\) | − | 1.19590i | − | 0.0139058i | ||||||
\(87\) | 15.5164 | + | 136.277i | 0.178350 | + | 1.56641i | ||||
\(88\) | 1.95696 | 0.0222382 | ||||||||
\(89\) | 97.6073 | − | 34.1543i | 1.09671 | − | 0.383756i | 0.279530 | − | 0.960137i | \(-0.409821\pi\) |
0.817181 | + | 0.576381i | \(0.195536\pi\) | |||||||
\(90\) | −0.430471 | − | 3.82054i | −0.00478301 | − | 0.0424504i | ||||
\(91\) | −50.1443 | + | 39.9887i | −0.551036 | + | 0.439436i | ||||
\(92\) | 12.1841 | − | 25.3006i | 0.132436 | − | 0.275006i | ||||
\(93\) | 5.15801 | + | 10.7107i | 0.0554625 | + | 0.115169i | ||||
\(94\) | −0.187944 | + | 0.235674i | −0.00199940 | + | 0.00250717i | ||||
\(95\) | −61.0853 | + | 97.2168i | −0.643004 | + | 1.02333i | ||||
\(96\) | −7.28403 | + | 1.66253i | −0.0758753 | + | 0.0173180i | ||||
\(97\) | −12.7840 | + | 113.461i | −0.131794 | + | 1.16970i | 0.737479 | + | 0.675370i | \(0.236016\pi\) |
−0.869273 | + | 0.494333i | \(0.835413\pi\) | |||||||
\(98\) | −0.265820 | − | 0.423050i | −0.00271245 | − | 0.00431684i | ||||
\(99\) | −70.2494 | − | 70.2494i | −0.709590 | − | 0.709590i | ||||
\(100\) | 200.017 | + | 45.6527i | 2.00017 | + | 0.456527i | ||||
\(101\) | 42.0839 | − | 120.269i | 0.416672 | − | 1.19078i | −0.524075 | − | 0.851672i | \(-0.675589\pi\) |
0.940747 | − | 0.339109i | \(-0.110125\pi\) | |||||||
\(102\) | 0.885793 | + | 0.309953i | 0.00868425 | + | 0.00303875i | ||||
\(103\) | −36.2231 | + | 158.704i | −0.351681 | + | 1.54081i | 0.421618 | + | 0.906773i | \(0.361462\pi\) |
−0.773299 | + | 0.634041i | \(0.781395\pi\) | |||||||
\(104\) | −2.05354 | + | 2.05354i | −0.0197456 | + | 0.0197456i | ||||
\(105\) | 203.447 | − | 127.834i | 1.93759 | − | 1.21747i | ||||
\(106\) | −1.42319 | − | 0.160355i | −0.0134263 | − | 0.00151278i | ||||
\(107\) | −15.1003 | − | 66.1586i | −0.141124 | − | 0.618304i | −0.995175 | − | 0.0981152i | \(-0.968719\pi\) |
0.854051 | − | 0.520189i | \(-0.174139\pi\) | |||||||
\(108\) | 69.9658 | + | 43.9624i | 0.647831 | + | 0.407059i | ||||
\(109\) | −8.50965 | − | 6.78622i | −0.0780702 | − | 0.0622589i | 0.583677 | − | 0.811986i | \(-0.301613\pi\) |
−0.661747 | + | 0.749727i | \(0.730185\pi\) | |||||||
\(110\) | −1.92547 | + | 0.927256i | −0.0175042 | + | 0.00842960i | ||||
\(111\) | −141.922 | − | 68.3462i | −1.27858 | − | 0.615732i | ||||
\(112\) | −57.9707 | − | 72.6930i | −0.517596 | − | 0.649044i | ||||
\(113\) | −56.1593 | + | 6.32764i | −0.496985 | + | 0.0559968i | −0.356900 | − | 0.934143i | \(-0.616166\pi\) |
−0.140085 | + | 0.990139i | \(0.544738\pi\) | |||||||
\(114\) | 0.675960 | + | 1.93178i | 0.00592947 | + | 0.0169455i | ||||
\(115\) | 61.3412i | 0.533402i | ||||||||
\(116\) | −90.5831 | + | 72.4114i | −0.780889 | + | 0.624236i | ||||
\(117\) | 147.433 | 1.26011 | ||||||||
\(118\) | −2.19984 | + | 0.769759i | −0.0186427 | + | 0.00652338i | ||||
\(119\) | 3.92457 | + | 34.8315i | 0.0329796 | + | 0.292702i | ||||
\(120\) | 8.50616 | − | 6.78343i | 0.0708846 | − | 0.0565286i | ||||
\(121\) | 28.5396 | − | 59.2630i | 0.235864 | − | 0.489777i | ||||
\(122\) | 1.47078 | + | 3.05411i | 0.0120556 | + | 0.0250337i | ||||
\(123\) | 11.2753 | − | 14.1387i | 0.0916688 | − | 0.114949i | ||||
\(124\) | −5.34769 | + | 8.51079i | −0.0431265 | + | 0.0686354i | ||||
\(125\) | −224.012 | + | 51.1293i | −1.79210 | + | 0.409035i | ||||
\(126\) | 0.286604 | − | 2.54368i | 0.00227464 | − | 0.0201879i | ||||
\(127\) | −121.534 | − | 193.421i | −0.956962 | − | 1.52300i | −0.848700 | − | 0.528875i | \(-0.822614\pi\) |
−0.108262 | − | 0.994122i | \(-0.534529\pi\) | |||||||
\(128\) | −5.95556 | − | 5.95556i | −0.0465278 | − | 0.0465278i | ||||
\(129\) | −167.493 | − | 38.2293i | −1.29840 | − | 0.296351i | ||||
\(130\) | 1.04747 | − | 2.99351i | 0.00805749 | − | 0.0230270i | ||||
\(131\) | 196.490 | + | 68.7549i | 1.49993 | + | 0.524847i | 0.950508 | − | 0.310701i | \(-0.100564\pi\) |
0.549418 | + | 0.835547i | \(0.314849\pi\) | |||||||
\(132\) | 31.2749 | − | 137.024i | 0.236931 | − | 1.03806i | ||||
\(133\) | −54.0533 | + | 54.0533i | −0.406416 | + | 0.406416i | ||||
\(134\) | −0.749644 | + | 0.471033i | −0.00559436 | + | 0.00351517i | ||||
\(135\) | −179.364 | − | 20.2095i | −1.32863 | − | 0.149700i | ||||
\(136\) | 0.353178 | + | 1.54737i | 0.00259689 | + | 0.0113777i | ||||
\(137\) | 58.6681 | + | 36.8636i | 0.428235 | + | 0.269078i | 0.728857 | − | 0.684665i | \(-0.240052\pi\) |
−0.300623 | + | 0.953743i | \(0.597195\pi\) | |||||||
\(138\) | 0.854882 | + | 0.681746i | 0.00619480 | + | 0.00494019i | ||||
\(139\) | 97.5136 | − | 46.9601i | 0.701537 | − | 0.337842i | −0.0488824 | − | 0.998805i | \(-0.515566\pi\) |
0.750419 | + | 0.660962i | \(0.229852\pi\) | |||||||
\(140\) | 183.037 | + | 88.1459i | 1.30741 | + | 0.629614i | ||||
\(141\) | 26.9997 | + | 33.8566i | 0.191487 | + | 0.240117i | ||||
\(142\) | 3.13159 | − | 0.352845i | 0.0220534 | − | 0.00248482i | ||||
\(143\) | −27.0668 | − | 77.3524i | −0.189278 | − | 0.540926i | ||||
\(144\) | 213.730i | 1.48423i | ||||||||
\(145\) | 109.645 | − | 228.363i | 0.756171 | − | 1.57492i | ||||
\(146\) | 2.91275 | 0.0199504 | ||||||||
\(147\) | −67.7484 | + | 23.7062i | −0.460873 | + | 0.161267i | ||||
\(148\) | −14.9122 | − | 132.349i | −0.100758 | − | 0.894251i | ||||
\(149\) | 42.7218 | − | 34.0695i | 0.286724 | − | 0.228654i | −0.469556 | − | 0.882902i | \(-0.655586\pi\) |
0.756280 | + | 0.654248i | \(0.227015\pi\) | |||||||
\(150\) | −3.46610 | + | 7.19743i | −0.0231073 | + | 0.0479829i | ||||
\(151\) | 83.0312 | + | 172.416i | 0.549875 | + | 1.14183i | 0.971933 | + | 0.235259i | \(0.0755937\pi\) |
−0.422058 | + | 0.906569i | \(0.638692\pi\) | |||||||
\(152\) | −2.15813 | + | 2.70621i | −0.0141982 | + | 0.0178040i | ||||
\(153\) | 42.8682 | − | 68.2243i | 0.280184 | − | 0.445910i | ||||
\(154\) | −1.38719 | + | 0.316618i | −0.00900774 | + | 0.00205596i | ||||
\(155\) | 2.45833 | − | 21.8183i | 0.0158602 | − | 0.140763i | ||||
\(156\) | 110.968 | + | 176.605i | 0.711335 | + | 1.13208i | ||||
\(157\) | −45.4322 | − | 45.4322i | −0.289377 | − | 0.289377i | 0.547457 | − | 0.836834i | \(-0.315596\pi\) |
−0.836834 | + | 0.547457i | \(0.815596\pi\) | |||||||
\(158\) | −1.96399 | − | 0.448268i | −0.0124303 | − | 0.00283714i | ||||
\(159\) | −67.9539 | + | 194.201i | −0.427383 | + | 1.22139i | ||||
\(160\) | 13.0247 | + | 4.55755i | 0.0814046 | + | 0.0284847i | ||||
\(161\) | −9.08786 | + | 39.8165i | −0.0564463 | + | 0.247307i | ||||
\(162\) | 0.525922 | − | 0.525922i | 0.00324643 | − | 0.00324643i | ||||
\(163\) | −249.812 | + | 156.967i | −1.53259 | + | 0.962990i | −0.539975 | + | 0.841681i | \(0.681566\pi\) |
−0.992615 | + | 0.121309i | \(0.961291\pi\) | |||||||
\(164\) | 15.1942 | + | 1.71197i | 0.0926474 | + | 0.0104389i | ||||
\(165\) | 68.3169 | + | 299.316i | 0.414042 | + | 1.81403i | ||||
\(166\) | −0.848053 | − | 0.532867i | −0.00510875 | − | 0.00321004i | ||||
\(167\) | 44.5238 | + | 35.5065i | 0.266610 | + | 0.212614i | 0.747665 | − | 0.664076i | \(-0.231175\pi\) |
−0.481055 | + | 0.876690i | \(0.659746\pi\) | |||||||
\(168\) | 6.52632 | − | 3.14291i | 0.0388471 | − | 0.0187078i | ||||
\(169\) | −42.6913 | − | 20.5591i | −0.252611 | − | 0.121651i | ||||
\(170\) | −1.08067 | − | 1.35512i | −0.00635691 | − | 0.00797131i | ||||
\(171\) | 174.616 | − | 19.6745i | 1.02114 | − | 0.115055i | ||||
\(172\) | −47.9762 | − | 137.108i | −0.278931 | − | 0.797140i | ||||
\(173\) | − | 335.481i | − | 1.93920i | −0.244702 | − | 0.969598i | \(-0.578690\pi\) | ||
0.244702 | − | 0.969598i | \(-0.421310\pi\) | |||||||
\(174\) | −1.96400 | − | 4.06609i | −0.0112873 | − | 0.0233684i | ||||
\(175\) | −298.377 | −1.70501 | ||||||||
\(176\) | 112.136 | − | 39.2381i | 0.637136 | − | 0.222944i | ||||
\(177\) | 37.4873 | + | 332.709i | 0.211793 | + | 1.87971i | ||||
\(178\) | −2.66176 | + | 2.12268i | −0.0149537 | + | 0.0119252i | ||||
\(179\) | 69.3056 | − | 143.915i | 0.387182 | − | 0.803992i | −0.612724 | − | 0.790297i | \(-0.709926\pi\) |
0.999906 | − | 0.0136949i | \(-0.00435935\pi\) | |||||||
\(180\) | −202.622 | − | 420.750i | −1.12568 | − | 2.33750i | ||||
\(181\) | 152.161 | − | 190.804i | 0.840671 | − | 1.05417i | −0.157110 | − | 0.987581i | \(-0.550218\pi\) |
0.997781 | − | 0.0665866i | \(-0.0212109\pi\) | |||||||
\(182\) | 1.12341 | − | 1.78790i | 0.00617258 | − | 0.00982360i | ||||
\(183\) | 474.764 | − | 108.362i | 2.59434 | − | 0.592141i | ||||
\(184\) | −0.207053 | + | 1.83765i | −0.00112529 | + | 0.00998721i | ||||
\(185\) | 154.785 | + | 246.340i | 0.836678 | + | 1.33157i | ||||
\(186\) | −0.276749 | − | 0.276749i | −0.00148790 | − | 0.00148790i | ||||
\(187\) | −43.6648 | − | 9.96621i | −0.233502 | − | 0.0532952i | ||||
\(188\) | −12.0929 | + | 34.5595i | −0.0643239 | + | 0.183827i | ||||
\(189\) | −113.431 | − | 39.6913i | −0.600165 | − | 0.210007i | ||||
\(190\) | 0.841128 | − | 3.68522i | 0.00442699 | − | 0.0193959i | ||||
\(191\) | −166.578 | + | 166.578i | −0.872137 | + | 0.872137i | −0.992705 | − | 0.120568i | \(-0.961528\pi\) |
0.120568 | + | 0.992705i | \(0.461528\pi\) | |||||||
\(192\) | −255.881 | + | 160.781i | −1.33271 | + | 0.837400i | ||||
\(193\) | 188.693 | + | 21.2606i | 0.977683 | + | 0.110158i | 0.586321 | − | 0.810078i | \(-0.300576\pi\) |
0.391362 | + | 0.920237i | \(0.372004\pi\) | |||||||
\(194\) | −0.836468 | − | 3.66481i | −0.00431169 | − | 0.0188908i | ||||
\(195\) | −385.776 | − | 242.399i | −1.97834 | − | 1.24307i | ||||
\(196\) | −47.4475 | − | 37.8381i | −0.242079 | − | 0.193052i | ||||
\(197\) | −208.010 | + | 100.172i | −1.05589 | + | 0.508488i | −0.879532 | − | 0.475839i | \(-0.842144\pi\) |
−0.176353 | + | 0.984327i | \(0.556430\pi\) | |||||||
\(198\) | 2.94686 | + | 1.41913i | 0.0148831 | + | 0.00716734i | ||||
\(199\) | −93.3547 | − | 117.063i | −0.469119 | − | 0.588257i | 0.489836 | − | 0.871815i | \(-0.337057\pi\) |
−0.958955 | + | 0.283558i | \(0.908485\pi\) | |||||||
\(200\) | −13.4257 | + | 1.51271i | −0.0671285 | + | 0.00756356i | ||||
\(201\) | 42.0073 | + | 120.050i | 0.208992 | + | 0.597264i | ||||
\(202\) | 4.19495i | 0.0207671i | ||||||||
\(203\) | 105.003 | − | 131.986i | 0.517256 | − | 0.650179i | ||||
\(204\) | 113.989 | 0.558772 | ||||||||
\(205\) | −31.5259 | + | 11.0314i | −0.153785 | + | 0.0538116i | ||||
\(206\) | −0.600050 | − | 5.32559i | −0.00291286 | − | 0.0258524i | ||||
\(207\) | 73.3988 | − | 58.5336i | 0.354584 | − | 0.282771i | ||||
\(208\) | −76.4955 | + | 158.845i | −0.367767 | + | 0.763676i | ||||
\(209\) | −42.3797 | − | 88.0024i | −0.202774 | − | 0.421064i | ||||
\(210\) | −4.93209 | + | 6.18464i | −0.0234861 | + | 0.0294507i | ||||
\(211\) | −66.0800 | + | 105.166i | −0.313175 | + | 0.498416i | −0.965808 | − | 0.259259i | \(-0.916522\pi\) |
0.652632 | + | 0.757675i | \(0.273665\pi\) | |||||||
\(212\) | −169.600 | + | 38.7101i | −0.799999 | + | 0.182595i | ||||
\(213\) | 50.6892 | − | 449.879i | 0.237977 | − | 2.11211i | ||||
\(214\) | 1.18862 | + | 1.89168i | 0.00555430 | + | 0.00883962i | ||||
\(215\) | 224.368 | + | 224.368i | 1.04357 | + | 1.04357i | ||||
\(216\) | −5.30514 | − | 1.21086i | −0.0245608 | − | 0.00560585i | ||||
\(217\) | 4.82813 | − | 13.7980i | 0.0222495 | − | 0.0635853i | ||||
\(218\) | 0.338227 | + | 0.118351i | 0.00155150 | + | 0.000542894i | ||||
\(219\) | 93.1120 | − | 407.950i | 0.425169 | − | 1.86279i | ||||
\(220\) | −183.553 | + | 183.553i | −0.834332 | + | 0.834332i | ||||
\(221\) | 56.2778 | − | 35.3617i | 0.254651 | − | 0.160008i | ||||
\(222\) | 5.15340 | + | 0.580649i | 0.0232135 | + | 0.00261553i | ||||
\(223\) | −26.1358 | − | 114.508i | −0.117201 | − | 0.513491i | −0.999114 | − | 0.0420792i | \(-0.986602\pi\) |
0.881913 | − | 0.471412i | \(-0.156255\pi\) | |||||||
\(224\) | 7.77912 | + | 4.88795i | 0.0347282 | + | 0.0218212i | ||||
\(225\) | 536.246 | + | 427.642i | 2.38331 | + | 1.90063i | ||||
\(226\) | 1.67634 | − | 0.807285i | 0.00741745 | − | 0.00357206i | ||||
\(227\) | 223.061 | + | 107.420i | 0.982646 | + | 0.473217i | 0.855014 | − | 0.518604i | \(-0.173548\pi\) |
0.127632 | + | 0.991822i | \(0.459262\pi\) | |||||||
\(228\) | 154.996 | + | 194.358i | 0.679806 | + | 0.852449i | ||||
\(229\) | 131.941 | − | 14.8662i | 0.576162 | − | 0.0649179i | 0.180925 | − | 0.983497i | \(-0.442091\pi\) |
0.395237 | + | 0.918579i | \(0.370662\pi\) | |||||||
\(230\) | −0.666999 | − | 1.90617i | −0.00290000 | − | 0.00828772i | ||||
\(231\) | 204.407i | 0.884878i | ||||||||
\(232\) | 4.05554 | − | 6.47116i | 0.0174808 | − | 0.0278929i | ||||
\(233\) | −300.048 | −1.28776 | −0.643879 | − | 0.765128i | \(-0.722676\pi\) | ||||
−0.643879 | + | 0.765128i | \(0.722676\pi\) | |||||||
\(234\) | −4.58146 | + | 1.60312i | −0.0195789 | + | 0.00685095i | ||||
\(235\) | −8.95491 | − | 79.4770i | −0.0381060 | − | 0.338200i | ||||
\(236\) | −221.328 | + | 176.503i | −0.937832 | + | 0.747896i | ||||
\(237\) | −125.566 | + | 260.740i | −0.529813 | + | 1.10017i | ||||
\(238\) | −0.500699 | − | 1.03971i | −0.00210378 | − | 0.00436854i | ||||
\(239\) | −137.342 | + | 172.222i | −0.574654 | + | 0.720594i | −0.981191 | − | 0.193041i | \(-0.938165\pi\) |
0.406536 | + | 0.913635i | \(0.366736\pi\) | |||||||
\(240\) | 351.400 | − | 559.250i | 1.46417 | − | 2.33021i | ||||
\(241\) | −32.7575 | + | 7.47668i | −0.135923 | + | 0.0310236i | −0.289941 | − | 0.957044i | \(-0.593636\pi\) |
0.154018 | + | 0.988068i | \(0.450779\pi\) | |||||||
\(242\) | −0.242464 | + | 2.15192i | −0.00100192 | + | 0.00889224i | ||||
\(243\) | −155.789 | − | 247.937i | −0.641107 | − | 1.02032i | ||||
\(244\) | 291.145 | + | 291.145i | 1.19322 | + | 1.19322i | ||||
\(245\) | 129.242 | + | 29.4987i | 0.527519 | + | 0.120403i | ||||
\(246\) | −0.196639 | + | 0.561963i | −0.000799347 | + | 0.00228440i | ||||
\(247\) | 136.817 | + | 47.8742i | 0.553914 | + | 0.193823i | ||||
\(248\) | 0.147292 | − | 0.645329i | 0.000593920 | − | 0.00260213i | ||||
\(249\) | −101.741 | + | 101.741i | −0.408599 | + | 0.408599i | ||||
\(250\) | 6.40521 | − | 4.02466i | 0.0256208 | − | 0.0160986i | ||||
\(251\) | −51.8762 | − | 5.84504i | −0.206678 | − | 0.0232870i | 0.00801842 | − | 0.999968i | \(-0.497448\pi\) |
−0.214696 | + | 0.976681i | \(0.568876\pi\) | |||||||
\(252\) | −69.1868 | − | 303.127i | −0.274551 | − | 1.20289i | ||||
\(253\) | −44.1855 | − | 27.7636i | −0.174646 | − | 0.109738i | ||||
\(254\) | 5.87984 | + | 4.68902i | 0.0231490 | + | 0.0184607i | ||||
\(255\) | −224.340 | + | 108.036i | −0.879764 | + | 0.423672i | ||||
\(256\) | −230.023 | − | 110.773i | −0.898528 | − | 0.432709i | ||||
\(257\) | −21.9630 | − | 27.5408i | −0.0854593 | − | 0.107163i | 0.737264 | − | 0.675605i | \(-0.236118\pi\) |
−0.822723 | + | 0.568443i | \(0.807546\pi\) | |||||||
\(258\) | 5.62054 | − | 0.633282i | 0.0217850 | − | 0.00245458i | ||||
\(259\) | 63.9752 | + | 182.831i | 0.247008 | + | 0.705910i | ||||
\(260\) | − | 385.223i | − | 1.48163i | ||||||
\(261\) | −377.878 | + | 86.7140i | −1.44781 | + | 0.332237i | ||||
\(262\) | −6.85354 | −0.0261585 | ||||||||
\(263\) | 72.7181 | − | 25.4452i | 0.276495 | − | 0.0967497i | −0.188470 | − | 0.982079i | \(-0.560353\pi\) |
0.464965 | + | 0.885329i | \(0.346067\pi\) | |||||||
\(264\) | 1.03630 | + | 9.19743i | 0.00392539 | + | 0.0348388i | ||||
\(265\) | 297.097 | − | 236.927i | 1.12112 | − | 0.894063i | ||||
\(266\) | 1.09195 | − | 2.26746i | 0.00410507 | − | 0.00852428i | ||||
\(267\) | 212.207 | + | 440.653i | 0.794783 | + | 1.65038i | ||||
\(268\) | −67.0491 | + | 84.0769i | −0.250183 | + | 0.313720i | ||||
\(269\) | −40.6748 | + | 64.7335i | −0.151207 | + | 0.240645i | −0.913735 | − | 0.406310i | \(-0.866815\pi\) |
0.762528 | + | 0.646955i | \(0.223958\pi\) | |||||||
\(270\) | 5.79349 | − | 1.32233i | 0.0214574 | − | 0.00489750i | ||||
\(271\) | −38.5675 | + | 342.296i | −0.142316 | + | 1.26309i | 0.696057 | + | 0.717987i | \(0.254936\pi\) |
−0.838372 | + | 0.545098i | \(0.816492\pi\) | |||||||
\(272\) | 51.2630 | + | 81.5846i | 0.188467 | + | 0.299943i | ||||
\(273\) | −214.494 | − | 214.494i | −0.785694 | − | 0.785694i | ||||
\(274\) | −2.22395 | − | 0.507602i | −0.00811660 | − | 0.00185256i | ||||
\(275\) | 125.920 | − | 359.858i | 0.457890 | − | 1.30857i | ||||
\(276\) | 125.361 | + | 43.8656i | 0.454206 | + | 0.158934i | ||||
\(277\) | 57.6112 | − | 252.411i | 0.207983 | − | 0.911232i | −0.757924 | − | 0.652343i | \(-0.773786\pi\) |
0.965907 | − | 0.258889i | \(-0.0833565\pi\) | |||||||
\(278\) | −2.51960 | + | 2.51960i | −0.00906333 | + | 0.00906333i | ||||
\(279\) | −28.4528 | + | 17.8781i | −0.101981 | + | 0.0640792i | ||||
\(280\) | −13.2944 | − | 1.49792i | −0.0474802 | − | 0.00534973i | ||||
\(281\) | −90.9123 | − | 398.313i | −0.323531 | − | 1.41748i | −0.831220 | − | 0.555943i | \(-0.812357\pi\) |
0.507689 | − | 0.861540i | \(-0.330500\pi\) | |||||||
\(282\) | −1.20716 | − | 0.758507i | −0.00428070 | − | 0.00268974i | ||||
\(283\) | −122.197 | − | 97.4487i | −0.431791 | − | 0.344342i | 0.383351 | − | 0.923603i | \(-0.374770\pi\) |
−0.815142 | + | 0.579261i | \(0.803341\pi\) | |||||||
\(284\) | 344.877 | − | 166.084i | 1.21435 | − | 0.584802i | ||||
\(285\) | −489.251 | − | 235.611i | −1.71667 | − | 0.826705i | ||||
\(286\) | 1.68220 | + | 2.10941i | 0.00588181 | + | 0.00737555i | ||||
\(287\) | −22.0977 | + | 2.48981i | −0.0769955 | + | 0.00867531i | ||||
\(288\) | −6.97517 | − | 19.9339i | −0.0242194 | − | 0.0692149i | ||||
\(289\) | 252.676i | 0.874310i | ||||||||
\(290\) | −0.924073 | + | 8.28861i | −0.00318646 | + | 0.0285814i | ||||
\(291\) | −540.020 | −1.85574 | ||||||||
\(292\) | 333.943 | − | 116.852i | 1.14364 | − | 0.400177i | ||||
\(293\) | 15.8049 | + | 140.273i | 0.0539417 | + | 0.478746i | 0.991421 | + | 0.130706i | \(0.0417243\pi\) |
−0.937480 | + | 0.348040i | \(0.886847\pi\) | |||||||
\(294\) | 1.84751 | − | 1.47334i | 0.00628403 | − | 0.00501135i | ||||
\(295\) | 268.305 | − | 557.142i | 0.909509 | − | 1.88862i | ||||
\(296\) | 3.80553 | + | 7.90226i | 0.0128565 | + | 0.0266968i | ||||
\(297\) | 95.7394 | − | 120.053i | 0.322355 | − | 0.404220i | ||||
\(298\) | −0.957120 | + | 1.52325i | −0.00321181 | + | 0.00511157i | ||||
\(299\) | 75.4999 | − | 17.2324i | 0.252508 | − | 0.0576333i | ||||
\(300\) | −108.642 | + | 964.226i | −0.362141 | + | 3.21409i | ||||
\(301\) | 112.396 | + | 178.878i | 0.373410 | + | 0.594279i | ||||
\(302\) | −4.45497 | − | 4.45497i | −0.0147516 | − | 0.0147516i | ||||
\(303\) | 587.530 | + | 134.100i | 1.93904 | + | 0.442574i | ||||
\(304\) | −69.4021 | + | 198.340i | −0.228297 | + | 0.652434i | ||||
\(305\) | −848.937 | − | 297.056i | −2.78340 | − | 0.973953i | ||||
\(306\) | −0.590282 | + | 2.58620i | −0.00192903 | + | 0.00845162i | ||||
\(307\) | 211.914 | − | 211.914i | 0.690275 | − | 0.690275i | −0.272017 | − | 0.962292i | \(-0.587691\pi\) |
0.962292 | + | 0.272017i | \(0.0876908\pi\) | |||||||
\(308\) | −146.338 | + | 91.9501i | −0.475123 | + | 0.298539i | ||||
\(309\) | −765.066 | − | 86.2022i | −2.47594 | − | 0.278972i | ||||
\(310\) | 0.160851 | + | 0.704733i | 0.000518873 | + | 0.00227333i | ||||
\(311\) | 0.482806 | + | 0.303367i | 0.00155243 | + | 0.000975456i | 0.532808 | − | 0.846236i | \(-0.321137\pi\) |
−0.531256 | + | 0.847212i | \(0.678280\pi\) | |||||||
\(312\) | −10.7388 | − | 8.56389i | −0.0344192 | − | 0.0274484i | ||||
\(313\) | −11.9391 | + | 5.74959i | −0.0381442 | + | 0.0183693i | −0.452859 | − | 0.891582i | \(-0.649596\pi\) |
0.414714 | + | 0.909952i | \(0.363881\pi\) | |||||||
\(314\) | 1.90581 | + | 0.917792i | 0.00606947 | + | 0.00292290i | ||||
\(315\) | 423.461 | + | 531.004i | 1.34432 | + | 1.68573i | ||||
\(316\) | −243.152 | + | 27.3966i | −0.769468 | + | 0.0866982i | ||||
\(317\) | 168.368 | + | 481.169i | 0.531131 | + | 1.51788i | 0.826745 | + | 0.562577i | \(0.190190\pi\) |
−0.295614 | + | 0.955307i | \(0.595524\pi\) | |||||||
\(318\) | − | 6.77369i | − | 0.0213009i | ||||||
\(319\) | 114.869 | + | 182.339i | 0.360092 | + | 0.571596i | ||||
\(320\) | 558.146 | 1.74421 | ||||||||
\(321\) | 302.939 | − | 106.003i | 0.943734 | − | 0.330227i | ||||
\(322\) | −0.150544 | − | 1.33611i | −0.000467527 | − | 0.00414942i | ||||
\(323\) | 61.9352 | − | 49.3917i | 0.191750 | − | 0.152915i | ||||
\(324\) | 39.1976 | − | 81.3947i | 0.120980 | − | 0.251218i | ||||
\(325\) | 245.483 | + | 509.751i | 0.755333 | + | 1.56847i | ||||
\(326\) | 6.05610 | − | 7.59411i | 0.0185770 | − | 0.0232948i | ||||
\(327\) | 27.3879 | − | 43.5876i | 0.0837551 | − | 0.133296i | ||||
\(328\) | −0.981680 | + | 0.224062i | −0.00299293 | + | 0.000683116i | ||||
\(329\) | 5.96210 | − | 52.9151i | 0.0181219 | − | 0.160836i | ||||
\(330\) | −5.37758 | − | 8.55837i | −0.0162957 | − | 0.0259345i | ||||
\(331\) | −88.5260 | − | 88.5260i | −0.267450 | − | 0.267450i | 0.560622 | − | 0.828072i | \(-0.310562\pi\) |
−0.828072 | + | 0.560622i | \(0.810562\pi\) | |||||||
\(332\) | −118.605 | − | 27.0709i | −0.357245 | − | 0.0815388i | ||||
\(333\) | 147.061 | − | 420.276i | 0.441624 | − | 1.26209i | ||||
\(334\) | −1.76966 | − | 0.619230i | −0.00529838 | − | 0.00185398i | ||||
\(335\) | 52.2717 | − | 229.017i | 0.156035 | − | 0.683633i | ||||
\(336\) | 310.948 | − | 310.948i | 0.925439 | − | 0.925439i | ||||
\(337\) | 175.703 | − | 110.401i | 0.521373 | − | 0.327601i | −0.245503 | − | 0.969396i | \(-0.578953\pi\) |
0.766876 | + | 0.641795i | \(0.221810\pi\) | |||||||
\(338\) | 1.55018 | + | 0.174664i | 0.00458634 | + | 0.000516756i | ||||
\(339\) | −59.4778 | − | 260.589i | −0.175451 | − | 0.768700i | ||||
\(340\) | −178.262 | − | 112.009i | −0.524299 | − | 0.329439i | ||||
\(341\) | 14.6036 | + | 11.6460i | 0.0428257 | + | 0.0341524i | ||||
\(342\) | −5.21224 | + | 2.51008i | −0.0152405 | + | 0.00733942i | ||||
\(343\) | 336.275 | + | 161.942i | 0.980394 | + | 0.472133i | ||||
\(344\) | 5.96424 | + | 7.47891i | 0.0173379 | + | 0.0217410i | ||||
\(345\) | −288.294 | + | 32.4830i | −0.835636 | + | 0.0941535i | ||||
\(346\) | 3.64788 | + | 10.4251i | 0.0105430 | + | 0.0301302i | ||||
\(347\) | 98.9513i | 0.285162i | 0.989783 | + | 0.142581i | \(0.0455402\pi\) | ||||
−0.989783 | + | 0.142581i | \(0.954460\pi\) | |||||||
\(348\) | −388.290 | − | 387.382i | −1.11578 | − | 1.11317i | ||||
\(349\) | 293.432 | 0.840780 | 0.420390 | − | 0.907343i | \(-0.361893\pi\) | ||||
0.420390 | + | 0.907343i | \(0.361893\pi\) | |||||||
\(350\) | 9.27205 | − | 3.24443i | 0.0264916 | − | 0.00926980i | ||||
\(351\) | 25.5139 | + | 226.442i | 0.0726893 | + | 0.645135i | ||||
\(352\) | −9.17803 | + | 7.31923i | −0.0260739 | + | 0.0207933i | ||||
\(353\) | −139.632 | + | 289.949i | −0.395558 | + | 0.821385i | 0.604142 | + | 0.796877i | \(0.293516\pi\) |
−0.999700 | + | 0.0245079i | \(0.992198\pi\) | |||||||
\(354\) | −4.78266 | − | 9.93130i | −0.0135103 | − | 0.0280545i | ||||
\(355\) | −521.333 | + | 653.731i | −1.46854 | + | 1.84150i | ||||
\(356\) | −220.011 | + | 350.145i | −0.618008 | + | 0.983554i | ||||
\(357\) | −161.624 | + | 36.8897i | −0.452730 | + | 0.103333i | ||||
\(358\) | −0.588799 | + | 5.22573i | −0.00164469 | + | 0.0145970i | ||||
\(359\) | −246.904 | − | 392.946i | −0.687756 | − | 1.09456i | −0.989965 | − | 0.141315i | \(-0.954867\pi\) |
0.302209 | − | 0.953242i | \(-0.402276\pi\) | |||||||
\(360\) | 21.7460 | + | 21.7460i | 0.0604057 | + | 0.0604057i | ||||
\(361\) | −183.518 | − | 41.8867i | −0.508360 | − | 0.116030i | ||||
\(362\) | −2.65368 | + | 7.58377i | −0.00733060 | + | 0.0209497i | ||||
\(363\) | 293.640 | + | 102.749i | 0.808926 | + | 0.283055i | ||||
\(364\) | 57.0718 | − | 250.048i | 0.156791 | − | 0.686944i | ||||
\(365\) | −546.476 | + | 546.476i | −1.49719 | + | 1.49719i | ||||
\(366\) | −13.5750 | + | 8.52973i | −0.0370901 | + | 0.0233053i | ||||
\(367\) | 97.2298 | + | 10.9552i | 0.264931 | + | 0.0298506i | 0.243431 | − | 0.969918i | \(-0.421727\pi\) |
0.0215005 | + | 0.999769i | \(0.493156\pi\) | |||||||
\(368\) | 24.9814 | + | 109.450i | 0.0678841 | + | 0.297420i | ||||
\(369\) | 43.2827 | + | 27.1963i | 0.117297 | + | 0.0737027i | ||||
\(370\) | −7.48855 | − | 5.97192i | −0.0202393 | − | 0.0161403i | ||||
\(371\) | 227.946 | − | 109.773i | 0.614411 | − | 0.295885i | ||||
\(372\) | −42.8313 | − | 20.6264i | −0.115138 | − | 0.0554474i | ||||
\(373\) | 205.926 | + | 258.222i | 0.552079 | + | 0.692285i | 0.977071 | − | 0.212912i | \(-0.0682946\pi\) |
−0.424992 | + | 0.905197i | \(0.639723\pi\) | |||||||
\(374\) | 1.46525 | − | 0.165094i | 0.00391778 | − | 0.000441428i | ||||
\(375\) | −358.925 | − | 1025.75i | −0.957132 | − | 2.73533i | ||||
\(376\) | − | 2.41118i | − | 0.00641272i | ||||||
\(377\) | −311.876 | − | 70.7995i | −0.827257 | − | 0.187797i | ||||
\(378\) | 3.95645 | 0.0104668 | ||||||||
\(379\) | −219.932 | + | 76.9574i | −0.580295 | + | 0.203054i | −0.604435 | − | 0.796655i | \(-0.706601\pi\) |
0.0241400 | + | 0.999709i | \(0.492315\pi\) | |||||||
\(380\) | −51.4069 | − | 456.249i | −0.135281 | − | 1.20066i | ||||
\(381\) | 844.689 | − | 673.617i | 2.21703 | − | 1.76802i | ||||
\(382\) | 3.36510 | − | 6.98771i | 0.00880917 | − | 0.0182924i | ||||
\(383\) | −101.754 | − | 211.295i | −0.265677 | − | 0.551685i | 0.724865 | − | 0.688891i | \(-0.241902\pi\) |
−0.990543 | + | 0.137206i | \(0.956188\pi\) | |||||||
\(384\) | 24.8365 | − | 31.1440i | 0.0646783 | − | 0.0811041i | ||||
\(385\) | 200.856 | − | 319.660i | 0.521703 | − | 0.830286i | ||||
\(386\) | −6.09480 | + | 1.39110i | −0.0157896 | + | 0.00360388i | ||||
\(387\) | 54.3726 | − | 482.570i | 0.140498 | − | 1.24695i | ||||
\(388\) | −242.922 | − | 386.608i | −0.626087 | − | 0.996412i | ||||
\(389\) | 297.193 | + | 297.193i | 0.763992 | + | 0.763992i | 0.977041 | − | 0.213049i | \(-0.0683394\pi\) |
−0.213049 | + | 0.977041i | \(0.568339\pi\) | |||||||
\(390\) | 14.6237 | + | 3.33776i | 0.0374967 | + | 0.00855837i | ||||
\(391\) | 13.9784 | − | 39.9481i | 0.0357505 | − | 0.102169i | ||||
\(392\) | 3.77224 | + | 1.31996i | 0.00962306 | + | 0.00336725i | ||||
\(393\) | −219.087 | + | 959.883i | −0.557473 | + | 2.44245i | ||||
\(394\) | 5.37465 | − | 5.37465i | 0.0136412 | − | 0.0136412i | ||||
\(395\) | 452.575 | − | 284.372i | 1.14576 | − | 0.719929i | ||||
\(396\) | 394.785 | + | 44.4816i | 0.996932 | + | 0.112327i | ||||
\(397\) | 61.8313 | + | 270.901i | 0.155746 | + | 0.682370i | 0.991152 | + | 0.132735i | \(0.0423759\pi\) |
−0.835405 | + | 0.549635i | \(0.814767\pi\) | |||||||
\(398\) | 4.17389 | + | 2.62263i | 0.0104872 | + | 0.00658952i | ||||
\(399\) | −282.666 | − | 225.419i | −0.708436 | − | 0.564959i | ||||
\(400\) | −738.975 | + | 355.871i | −1.84744 | + | 0.889679i | ||||
\(401\) | 198.105 | + | 95.4022i | 0.494027 | + | 0.237911i | 0.664272 | − | 0.747491i | \(-0.268742\pi\) |
−0.170245 | + | 0.985402i | \(0.554456\pi\) | |||||||
\(402\) | −2.61075 | − | 3.27378i | −0.00649441 | − | 0.00814373i | ||||
\(403\) | −27.5450 | + | 3.10357i | −0.0683498 | + | 0.00770117i | ||||
\(404\) | 168.290 | + | 480.945i | 0.416559 | + | 1.19046i | ||||
\(405\) | 197.342i | 0.487263i | ||||||||
\(406\) | −1.82779 | + | 5.24322i | −0.00450195 | + | 0.0129143i | ||||
\(407\) | −247.502 | −0.608112 | ||||||||
\(408\) | −7.08539 | + | 2.47928i | −0.0173661 | + | 0.00607668i | ||||
\(409\) | 43.0110 | + | 381.733i | 0.105161 | + | 0.933333i | 0.929898 | + | 0.367816i | \(0.119895\pi\) |
−0.824737 | + | 0.565516i | \(0.808677\pi\) | |||||||
\(410\) | 0.859713 | − | 0.685599i | 0.00209686 | − | 0.00167219i | ||||
\(411\) | −142.186 | + | 295.252i | −0.345951 | + | 0.718375i | ||||
\(412\) | −282.443 | − | 586.499i | −0.685541 | − | 1.42354i | ||||
\(413\) | 256.698 | − | 321.890i | 0.621546 | − | 0.779394i | ||||
\(414\) | −1.64439 | + | 2.61704i | −0.00397197 | + | 0.00632135i | ||||
\(415\) | 259.081 | − | 59.1336i | 0.624292 | − | 0.142491i | ||||
\(416\) | 1.95053 | − | 17.3114i | 0.00468877 | − | 0.0416140i | ||||
\(417\) | 272.343 | + | 433.431i | 0.653101 | + | 1.03940i | ||||
\(418\) | 2.27385 | + | 2.27385i | 0.00543983 | + | 0.00543983i | ||||
\(419\) | −258.143 | − | 58.9194i | −0.616092 | − | 0.140619i | −0.0969251 | − | 0.995292i | \(-0.530901\pi\) |
−0.519167 | + | 0.854673i | \(0.673758\pi\) | |||||||
\(420\) | −317.346 | + | 906.922i | −0.755585 | + | 2.15934i | ||||
\(421\) | 210.923 | + | 73.8051i | 0.501005 | + | 0.175309i | 0.568937 | − | 0.822381i | \(-0.307355\pi\) |
−0.0679329 | + | 0.997690i | \(0.521640\pi\) | |||||||
\(422\) | 0.909903 | − | 3.98655i | 0.00215617 | − | 0.00944679i | ||||
\(423\) | −86.5545 | + | 86.5545i | −0.204621 | + | 0.204621i | ||||
\(424\) | 9.70009 | − | 6.09497i | 0.0228776 | − | 0.0143749i | ||||
\(425\) | 307.265 | + | 34.6204i | 0.722976 | + | 0.0814598i | ||||
\(426\) | 3.31663 | + | 14.5311i | 0.00778553 | + | 0.0341106i | ||||
\(427\) | −507.034 | − | 318.591i | −1.18743 | − | 0.746114i | ||||
\(428\) | 212.163 | + | 169.194i | 0.495707 | + | 0.395313i | ||||
\(429\) | 349.211 | − | 168.171i | 0.814012 | − | 0.392008i | ||||
\(430\) | −9.41192 | − | 4.53254i | −0.0218882 | − | 0.0105408i | ||||
\(431\) | −131.485 | − | 164.877i | −0.305069 | − | 0.382545i | 0.605539 | − | 0.795816i | \(-0.292958\pi\) |
−0.910608 | + | 0.413271i | \(0.864386\pi\) | |||||||
\(432\) | −328.268 | + | 36.9870i | −0.759880 | + | 0.0856180i | ||||
\(433\) | −53.6896 | − | 153.436i | −0.123995 | − | 0.354356i | 0.865108 | − | 0.501586i | \(-0.167250\pi\) |
−0.989102 | + | 0.147230i | \(0.952964\pi\) | |||||||
\(434\) | 0.481271i | 0.00110892i | ||||||||
\(435\) | 1131.33 | + | 394.385i | 2.60077 | + | 0.906631i | ||||
\(436\) | 43.5252 | 0.0998284 | ||||||||
\(437\) | 87.1207 | − | 30.4849i | 0.199361 | − | 0.0697594i | ||||
\(438\) | 1.54244 | + | 13.6895i | 0.00352154 | + | 0.0312545i | ||||
\(439\) | −404.677 | + | 322.719i | −0.921816 | + | 0.735124i | −0.964533 | − | 0.263963i | \(-0.914970\pi\) |
0.0427165 | + | 0.999087i | \(0.486399\pi\) | |||||||
\(440\) | 7.41704 | − | 15.4016i | 0.0168569 | − | 0.0350037i | ||||
\(441\) | −88.0296 | − | 182.795i | −0.199614 | − | 0.414502i | ||||
\(442\) | −1.36432 | + | 1.71080i | −0.00308670 | + | 0.00387060i | ||||
\(443\) | −205.271 | + | 326.686i | −0.463365 | + | 0.737440i | −0.993907 | − | 0.110218i | \(-0.964845\pi\) |
0.530543 | + | 0.847658i | \(0.321988\pi\) | |||||||
\(444\) | 614.124 | − | 140.170i | 1.38316 | − | 0.315698i | ||||
\(445\) | 101.139 | − | 897.633i | 0.227278 | − | 2.01715i | ||||
\(446\) | 2.05729 | + | 3.27415i | 0.00461275 | + | 0.00734115i | ||||
\(447\) | 182.745 | + | 182.745i | 0.408825 | + | 0.408825i | ||||
\(448\) | 362.292 | + | 82.6907i | 0.808687 | + | 0.184577i | ||||
\(449\) | 51.5162 | − | 147.225i | 0.114735 | − | 0.327895i | −0.872168 | − | 0.489206i | \(-0.837287\pi\) |
0.986904 | + | 0.161311i | \(0.0515723\pi\) | |||||||
\(450\) | −21.3138 | − | 7.45802i | −0.0473640 | − | 0.0165734i | ||||
\(451\) | 6.32274 | − | 27.7017i | 0.0140194 | − | 0.0614229i | ||||
\(452\) | 159.804 | − | 159.804i | 0.353549 | − | 0.353549i | ||||
\(453\) | −766.360 | + | 481.536i | −1.69174 | + | 1.06299i | ||||
\(454\) | −8.09964 | − | 0.912610i | −0.0178406 | − | 0.00201016i | ||||
\(455\) | 124.667 | + | 546.204i | 0.273994 | + | 1.20045i | ||||
\(456\) | −13.8616 | − | 8.70981i | −0.0303982 | − | 0.0191005i | ||||
\(457\) | −551.243 | − | 439.602i | −1.20622 | − | 0.961930i | −0.206359 | − | 0.978476i | \(-0.566161\pi\) |
−0.999863 | + | 0.0165465i | \(0.994733\pi\) | |||||||
\(458\) | −3.93841 | + | 1.89664i | −0.00859916 | + | 0.00414114i | ||||
\(459\) | 112.205 | + | 54.0349i | 0.244454 | + | 0.117723i | ||||
\(460\) | −152.941 | − | 191.782i | −0.332481 | − | 0.416917i | ||||
\(461\) | 472.975 | − | 53.2915i | 1.02598 | − | 0.115600i | 0.417097 | − | 0.908862i | \(-0.363048\pi\) |
0.608880 | + | 0.793262i | \(0.291619\pi\) | |||||||
\(462\) | −2.22264 | − | 6.35193i | −0.00481090 | − | 0.0137488i | ||||
\(463\) | − | 436.814i | − | 0.943442i | −0.881748 | − | 0.471721i | \(-0.843633\pi\) | ||
0.881748 | − | 0.471721i | \(-0.156367\pi\) | |||||||
\(464\) | 102.636 | − | 452.119i | 0.221199 | − | 0.974395i | ||||
\(465\) | 103.844 | 0.223321 | ||||||||
\(466\) | 9.32396 | − | 3.26259i | 0.0200085 | − | 0.00700127i | ||||
\(467\) | 22.5274 | + | 199.936i | 0.0482385 | + | 0.428128i | 0.994501 | + | 0.104728i | \(0.0333973\pi\) |
−0.946262 | + | 0.323400i | \(0.895174\pi\) | |||||||
\(468\) | −460.945 | + | 367.591i | −0.984925 | + | 0.785451i | ||||
\(469\) | 67.8589 | − | 140.911i | 0.144689 | − | 0.300449i | ||||
\(470\) | 1.14247 | + | 2.37237i | 0.00243080 | + | 0.00504760i | ||||
\(471\) | 189.466 | − | 237.583i | 0.402263 | − | 0.504422i | ||||
\(472\) | 9.91842 | − | 15.7851i | 0.0210136 | − | 0.0334430i | ||||
\(473\) | −263.169 | + | 60.0666i | −0.556383 | + | 0.126991i | ||||
\(474\) | 1.06677 | − | 9.46783i | 0.00225057 | − | 0.0199743i | ||||
\(475\) | 358.770 | + | 570.979i | 0.755305 | + | 1.20206i | ||||
\(476\) | −99.1149 | − | 99.1149i | −0.208225 | − | 0.208225i | ||||
\(477\) | −566.997 | − | 129.413i | −1.18867 | − | 0.271307i | ||||
\(478\) | 2.39524 | − | 6.84519i | 0.00501095 | − | 0.0143205i | ||||
\(479\) | −625.859 | − | 218.997i | −1.30659 | − | 0.457197i | −0.414913 | − | 0.909861i | \(-0.636188\pi\) |
−0.891681 | + | 0.452664i | \(0.850474\pi\) | |||||||
\(480\) | −14.5226 | + | 63.6277i | −0.0302554 | + | 0.132558i | ||||
\(481\) | 259.716 | − | 259.716i | 0.539950 | − | 0.539950i | ||||
\(482\) | 0.936638 | − | 0.588529i | 0.00194323 | − | 0.00122101i | ||||
\(483\) | −191.944 | − | 21.6269i | −0.397399 | − | 0.0447761i | ||||
\(484\) | 58.5312 | + | 256.442i | 0.120932 | + | 0.529839i | ||||
\(485\) | 844.506 | + | 530.638i | 1.74125 | + | 1.09410i | ||||
\(486\) | 7.53709 | + | 6.01063i | 0.0155084 | + | 0.0123676i | ||||
\(487\) | −98.2132 | + | 47.2970i | −0.201670 | + | 0.0971191i | −0.531993 | − | 0.846749i | \(-0.678557\pi\) |
0.330323 | + | 0.943868i | \(0.392842\pi\) | |||||||
\(488\) | −24.4296 | − | 11.7647i | −0.0500606 | − | 0.0241079i | ||||
\(489\) | −870.009 | − | 1090.96i | −1.77916 | − | 2.23100i | ||||
\(490\) | −4.33695 | + | 0.488657i | −0.00885092 | + | 0.000997259i | ||||
\(491\) | −152.864 | − | 436.860i | −0.311332 | − | 0.889735i | −0.988137 | − | 0.153573i | \(-0.950922\pi\) |
0.676805 | − | 0.736162i | \(-0.263364\pi\) | |||||||
\(492\) | 72.3169i | 0.146986i | ||||||||
\(493\) | −123.445 | + | 123.734i | −0.250395 | + | 0.250982i | ||||
\(494\) | −4.77213 | −0.00966019 | ||||||||
\(495\) | −819.125 | + | 286.624i | −1.65480 | + | 0.579039i | ||||
\(496\) | −4.49917 | − | 39.9313i | −0.00907092 | − | 0.0805066i | ||||
\(497\) | −435.249 | + | 347.099i | −0.875752 | + | 0.698389i | ||||
\(498\) | 2.05531 | − | 4.26789i | 0.00412713 | − | 0.00857007i | ||||
\(499\) | −119.381 | − | 247.898i | −0.239241 | − | 0.496789i | 0.746431 | − | 0.665463i | \(-0.231766\pi\) |
−0.985672 | + | 0.168674i | \(0.946052\pi\) | |||||||
\(500\) | 572.890 | − | 718.381i | 1.14578 | − | 1.43676i | ||||
\(501\) | −143.298 | + | 228.057i | −0.286024 | + | 0.455204i | ||||
\(502\) | 1.67561 | − | 0.382446i | 0.00333786 | − | 0.000761845i | ||||
\(503\) | −59.4343 | + | 527.494i | −0.118160 | + | 1.04870i | 0.785031 | + | 0.619456i | \(0.212647\pi\) |
−0.903191 | + | 0.429239i | \(0.858782\pi\) | |||||||
\(504\) | 10.8936 | + | 17.3371i | 0.0216143 | + | 0.0343989i | ||||
\(505\) | −787.035 | − | 787.035i | −1.55849 | − | 1.55849i | ||||
\(506\) | 1.67495 | + | 0.382297i | 0.00331018 | + | 0.000755528i | ||||
\(507\) | 74.0174 | − | 211.530i | 0.145991 | − | 0.417218i | ||||
\(508\) | 862.227 | + | 301.706i | 1.69730 | + | 0.593910i | ||||
\(509\) | 19.4786 | − | 85.3413i | 0.0382683 | − | 0.167665i | −0.952183 | − | 0.305529i | \(-0.901167\pi\) |
0.990451 | + | 0.137864i | \(0.0440238\pi\) | |||||||
\(510\) | 5.79660 | − | 5.79660i | 0.0113659 | − | 0.0113659i | ||||
\(511\) | −435.679 | + | 273.755i | −0.852600 | + | 0.535724i | ||||
\(512\) | 41.8304 | + | 4.71315i | 0.0816999 | + | 0.00920537i | ||||
\(513\) | 60.4362 | + | 264.788i | 0.117809 | + | 0.516157i | ||||
\(514\) | 0.981968 | + | 0.617011i | 0.00191044 | + | 0.00120041i | ||||
\(515\) | 1111.74 | + | 886.582i | 2.15871 | + | 1.72152i | ||||
\(516\) | 618.981 | − | 298.086i | 1.19958 | − | 0.577685i | ||||
\(517\) | 61.3023 | + | 29.5216i | 0.118573 | + | 0.0571018i | ||||
\(518\) | −3.97605 | − | 4.98581i | −0.00767577 | − | 0.00962512i | ||||
\(519\) | 1576.71 | − | 177.652i | 3.03797 | − | 0.342298i | ||||
\(520\) | 8.37865 | + | 23.9448i | 0.0161128 | + | 0.0460477i | ||||
\(521\) | − | 416.078i | − | 0.798613i | −0.916817 | − | 0.399307i | \(-0.869251\pi\) | ||
0.916817 | − | 0.399307i | \(-0.130749\pi\) | |||||||
\(522\) | 10.7997 | − | 6.80352i | 0.0206890 | − | 0.0130336i | ||||
\(523\) | −244.076 | −0.466684 | −0.233342 | − | 0.972395i | \(-0.574966\pi\) | ||||
−0.233342 | + | 0.972395i | \(0.574966\pi\) | |||||||
\(524\) | −785.748 | + | 274.945i | −1.49952 | + | 0.524705i | ||||
\(525\) | −158.004 | − | 1402.33i | −0.300960 | − | 2.67110i | ||||
\(526\) | −1.98303 | + | 1.58141i | −0.00377002 | + | 0.00300649i | ||||
\(527\) | −6.57292 | + | 13.6488i | −0.0124723 | + | 0.0258991i | ||||
\(528\) | 243.794 | + | 506.244i | 0.461731 | + | 0.958795i | ||||
\(529\) | −299.080 | + | 375.035i | −0.565369 | + | 0.708951i | ||||
\(530\) | −6.65602 | + | 10.5930i | −0.0125585 | + | 0.0199868i | ||||
\(531\) | −922.682 | + | 210.596i | −1.73763 | + | 0.396603i | ||||
\(532\) | 34.2263 | − | 303.767i | 0.0643351 | − | 0.570990i | ||||
\(533\) | 22.4341 | + | 35.7036i | 0.0420902 | + | 0.0669861i | ||||
\(534\) | −11.3858 | − | 11.3858i | −0.0213217 | − | 0.0213217i | ||||
\(535\) | −577.910 | − | 131.904i | −1.08021 | − | 0.246550i | ||||
\(536\) | 2.33897 | − | 6.68440i | 0.00436376 | − | 0.0124709i | ||||
\(537\) | 713.076 | + | 249.516i | 1.32789 | + | 0.464648i | ||||
\(538\) | 0.560080 | − | 2.45387i | 0.00104104 | − | 0.00456110i | ||||
\(539\) | −79.7449 | + | 79.7449i | −0.147950 | + | 0.147950i | ||||
\(540\) | 611.167 | − | 384.022i | 1.13179 | − | 0.711151i | ||||
\(541\) | 741.239 | + | 83.5176i | 1.37013 | + | 0.154376i | 0.766169 | − | 0.642639i | \(-0.222160\pi\) |
0.603959 | + | 0.797015i | \(0.293589\pi\) | |||||||
\(542\) | −2.52350 | − | 11.0562i | −0.00465591 | − | 0.0203989i | ||||
\(543\) | 977.327 | + | 614.096i | 1.79987 | + | 1.13093i | ||||
\(544\) | −7.44370 | − | 5.93615i | −0.0136833 | − | 0.0109120i | ||||
\(545\) | −85.6609 | + | 41.2521i | −0.157176 | + | 0.0756919i | ||||
\(546\) | 8.99773 | + | 4.33308i | 0.0164794 | + | 0.00793604i | ||||
\(547\) | 206.292 | + | 258.682i | 0.377133 | + | 0.472910i | 0.933784 | − | 0.357836i | \(-0.116485\pi\) |
−0.556651 | + | 0.830746i | \(0.687914\pi\) | |||||||
\(548\) | −275.336 | + | 31.0229i | −0.502438 | + | 0.0566112i | ||||
\(549\) | 454.634 | + | 1299.27i | 0.828112 | + | 2.36661i | ||||
\(550\) | 12.5518i | 0.0228214i | ||||||||
\(551\) | −378.827 | − | 42.2343i | −0.687526 | − | 0.0766503i | ||||
\(552\) | −8.74630 | −0.0158447 | ||||||||
\(553\) | 335.897 | − | 117.535i | 0.607408 | − | 0.212541i | ||||
\(554\) | 0.954352 | + | 8.47011i | 0.00172266 | + | 0.0152890i | ||||
\(555\) | −1075.79 | + | 857.916i | −1.93836 | + | 1.54579i | ||||
\(556\) | −187.789 | + | 389.949i | −0.337751 | + | 0.701347i | ||||
\(557\) | 8.12730 | + | 16.8765i | 0.0145912 | + | 0.0302989i | 0.908137 | − | 0.418673i | \(-0.137505\pi\) |
−0.893546 | + | 0.448972i | \(0.851790\pi\) | |||||||
\(558\) | 0.689771 | − | 0.864945i | 0.00123615 | − | 0.00155008i | ||||
\(559\) | 213.126 | − | 339.188i | 0.381262 | − | 0.606776i | ||||
\(560\) | −791.819 | + | 180.728i | −1.41396 | + | 0.322728i | ||||
\(561\) | 23.7171 | − | 210.495i | 0.0422765 | − | 0.375215i | ||||
\(562\) | 7.15619 | + | 11.3890i | 0.0127334 | + | 0.0202651i | ||||
\(563\) | −682.747 | − | 682.747i | −1.21269 | − | 1.21269i | −0.970137 | − | 0.242557i | \(-0.922014\pi\) |
−0.242557 | − | 0.970137i | \(-0.577986\pi\) | |||||||
\(564\) | −168.828 | − | 38.5339i | −0.299340 | − | 0.0683225i | ||||
\(565\) | −163.048 | + | 465.966i | −0.288581 | + | 0.824718i | ||||
\(566\) | 4.85688 | + | 1.69949i | 0.00858105 | + | 0.00300264i | ||||
\(567\) | −29.2366 | + | 128.094i | −0.0515637 | + | 0.225916i | ||||
\(568\) | −17.8246 | + | 17.8246i | −0.0313814 | + | 0.0313814i | ||||
\(569\) | 814.946 | − | 512.065i | 1.43224 | − | 0.899938i | 0.432245 | − | 0.901756i | \(-0.357722\pi\) |
0.999998 | + | 0.00181851i | \(0.000578849\pi\) | |||||||
\(570\) | 17.7654 | + | 2.00168i | 0.0311673 | + | 0.00351172i | ||||
\(571\) | −32.2889 | − | 141.467i | −0.0565480 | − | 0.247753i | 0.938752 | − | 0.344594i | \(-0.111983\pi\) |
−0.995300 | + | 0.0968408i | \(0.969126\pi\) | |||||||
\(572\) | 277.485 | + | 174.356i | 0.485114 | + | 0.304817i | ||||
\(573\) | −871.102 | − | 694.681i | −1.52025 | − | 1.21236i | ||||
\(574\) | 0.659612 | − | 0.317652i | 0.00114915 | − | 0.000553401i | ||||
\(575\) | 324.594 | + | 156.316i | 0.564512 | + | 0.271855i | ||||
\(576\) | −532.599 | − | 667.858i | −0.924652 | − | 1.15948i | ||||
\(577\) | 263.320 | − | 29.6690i | 0.456360 | − | 0.0514194i | 0.119207 | − | 0.992869i | \(-0.461965\pi\) |
0.337153 | + | 0.941450i | \(0.390536\pi\) | |||||||
\(578\) | −2.74749 | − | 7.85188i | −0.00475344 | − | 0.0135846i | ||||
\(579\) | 898.086i | 1.55110i | ||||||||
\(580\) | 226.573 | + | 987.349i | 0.390643 | + | 1.70233i | ||||
\(581\) | 176.930 | 0.304527 | ||||||||
\(582\) | 16.7811 | − | 5.87195i | 0.0288335 | − | 0.0100893i | ||||
\(583\) | 36.1952 | + | 321.241i | 0.0620844 | + | 0.551014i | ||||
\(584\) | −18.2158 | + | 14.5266i | −0.0311914 | + | 0.0248743i | ||||
\(585\) | 558.780 | − | 1160.32i | 0.955180 | − | 1.98345i | ||||
\(586\) | −2.01640 | − | 4.18711i | −0.00344096 | − | 0.00714523i | ||||
\(587\) | 606.443 | − | 760.455i | 1.03312 | − | 1.29549i | 0.0787436 | − | 0.996895i | \(-0.474909\pi\) |
0.954379 | − | 0.298599i | \(-0.0965194\pi\) | |||||||
\(588\) | 152.708 | − | 243.033i | 0.259707 | − | 0.413321i | ||||
\(589\) | −32.2094 | + | 7.35160i | −0.0546850 | + | 0.0124815i | ||||
\(590\) | −2.27944 | + | 20.2306i | −0.00386346 | + | 0.0342891i | ||||
\(591\) | −580.944 | − | 924.567i | −0.982985 | − | 1.56441i | ||||
\(592\) | 376.504 | + | 376.504i | 0.635987 | + | 0.635987i | ||||
\(593\) | 829.756 | + | 189.386i | 1.39925 | + | 0.319370i | 0.854597 | − | 0.519291i | \(-0.173804\pi\) |
0.544654 | + | 0.838661i | \(0.316661\pi\) | |||||||
\(594\) | −1.66968 | + | 4.77168i | −0.00281092 | + | 0.00803314i | ||||
\(595\) | 289.004 | + | 101.127i | 0.485721 | + | 0.169961i | ||||
\(596\) | −48.6239 | + | 213.035i | −0.0815837 | + | 0.357442i | ||||
\(597\) | 500.743 | − | 500.743i | 0.838765 | − | 0.838765i | ||||
\(598\) | −2.15878 | + | 1.35645i | −0.00361000 | + | 0.00226831i | ||||
\(599\) | −970.894 | − | 109.393i | −1.62086 | − | 0.182627i | −0.745638 | − | 0.666351i | \(-0.767855\pi\) |
−0.875220 | + | 0.483724i | \(0.839284\pi\) | |||||||
\(600\) | −14.2190 | − | 62.2976i | −0.0236984 | − | 0.103829i | ||||
\(601\) | −265.894 | − | 167.072i | −0.442419 | − | 0.277990i | 0.292345 | − | 0.956313i | \(-0.405564\pi\) |
−0.734764 | + | 0.678323i | \(0.762707\pi\) | |||||||
\(602\) | −5.43776 | − | 4.33647i | −0.00903282 | − | 0.00720343i | ||||
\(603\) | −323.913 | + | 155.988i | −0.537170 | + | 0.258687i | ||||
\(604\) | −689.477 | − | 332.035i | −1.14152 | − | 0.549726i | ||||
\(605\) | −358.243 | − | 449.223i | −0.592137 | − | 0.742517i | ||||
\(606\) | −19.7156 | + | 2.22142i | −0.0325340 | + | 0.00366570i | ||||
\(607\) | −250.177 | − | 714.965i | −0.412154 | − | 1.17787i | −0.943690 | − | 0.330832i | \(-0.892671\pi\) |
0.531536 | − | 0.847036i | \(-0.321615\pi\) | |||||||
\(608\) | − | 20.7635i | − | 0.0341505i | ||||||
\(609\) | 675.919 | + | 423.605i | 1.10988 | + | 0.695574i | ||||
\(610\) | 29.6107 | 0.0485422 | ||||||||
\(611\) | −95.3061 | + | 33.3491i | −0.155984 | + | 0.0545811i | ||||
\(612\) | 36.0761 | + | 320.184i | 0.0589479 | + | 0.523177i | ||||
\(613\) | −84.7718 | + | 67.6033i | −0.138290 | + | 0.110283i | −0.690192 | − | 0.723627i | \(-0.742474\pi\) |
0.551902 | + | 0.833909i | \(0.313902\pi\) | |||||||
\(614\) | −4.28096 | + | 8.88950i | −0.00697224 | + | 0.0144780i | ||||
\(615\) | −68.5401 | − | 142.325i | −0.111447 | − | 0.231423i | ||||
\(616\) | 7.09618 | − | 8.89833i | 0.0115198 | − | 0.0144453i | ||||
\(617\) | −477.375 | + | 759.739i | −0.773704 | + | 1.23134i | 0.194432 | + | 0.980916i | \(0.437714\pi\) |
−0.968136 | + | 0.250427i | \(0.919429\pi\) | |||||||
\(618\) | 24.7117 | − | 5.64028i | 0.0399866 | − | 0.00912667i | ||||
\(619\) | −34.8184 | + | 309.021i | −0.0562494 | + | 0.499227i | 0.933726 | + | 0.357988i | \(0.116537\pi\) |
−0.989976 | + | 0.141239i | \(0.954891\pi\) | |||||||
\(620\) | 46.7133 | + | 74.3437i | 0.0753440 | + | 0.119909i | ||||
\(621\) | 102.604 | + | 102.604i | 0.165224 | + | 0.165224i | ||||
\(622\) | −0.0183018 | − | 0.00417728i | −2.94242e−5 | − | 6.71588e-6i | ||||
\(623\) | 198.636 | − | 567.668i | 0.318837 | − | 0.911185i | ||||
\(624\) | −787.053 | − | 275.402i | −1.26130 | − | 0.441349i | ||||
\(625\) | −161.220 | + | 706.351i | −0.257952 | + | 1.13016i | ||||
\(626\) | 0.308489 | − | 0.308489i | 0.000492794 | − | 0.000492794i | ||||
\(627\) | 391.156 | − | 245.780i | 0.623853 | − | 0.391993i | ||||
\(628\) | 255.318 | + | 28.7674i | 0.406558 | + | 0.0458080i | ||||
\(629\) | −44.6672 | − | 195.700i | −0.0710130 | − | 0.311128i | ||||
\(630\) | −18.9330 | − | 11.8964i | −0.0300523 | − | 0.0188831i | ||||
\(631\) | −60.2526 | − | 48.0499i | −0.0954875 | − | 0.0761487i | 0.574582 | − | 0.818447i | \(-0.305164\pi\) |
−0.670070 | + | 0.742298i | \(0.733736\pi\) | |||||||
\(632\) | 14.5180 | − | 6.99151i | 0.0229716 | − | 0.0110625i | ||||
\(633\) | −529.255 | − | 254.876i | −0.836106 | − | 0.402647i | ||||
\(634\) | −10.4641 | − | 13.1215i | −0.0165049 | − | 0.0206964i | ||||
\(635\) | −1982.88 | + | 223.416i | −3.12264 | + | 0.351837i | ||||
\(636\) | −271.742 | − | 776.594i | −0.427267 | − | 1.22106i | ||||
\(637\) | − | 167.361i | − | 0.262733i | ||||||
\(638\) | −5.55224 | − | 4.41714i | −0.00870257 | − | 0.00692341i | ||||
\(639\) | 1279.70 | 2.00267 | ||||||||
\(640\) | −69.4433 | + | 24.2993i | −0.108505 | + | 0.0379676i | ||||
\(641\) | 36.9672 | + | 328.093i | 0.0576712 | + | 0.511846i | 0.989027 | + | 0.147735i | \(0.0471984\pi\) |
−0.931356 | + | 0.364110i | \(0.881373\pi\) | |||||||
\(642\) | −8.26117 | + | 6.58806i | −0.0128679 | + | 0.0102618i | ||||
\(643\) | −351.977 | + | 730.888i | −0.547399 | + | 1.13668i | 0.425394 | + | 0.905008i | \(0.360135\pi\) |
−0.972793 | + | 0.231677i | \(0.925579\pi\) | |||||||
\(644\) | −70.8608 | − | 147.144i | −0.110032 | − | 0.228485i | ||||
\(645\) | −935.683 | + | 1173.31i | −1.45067 | + | 1.81908i | ||||
\(646\) | −1.38757 | + | 2.20830i | −0.00214794 | + | 0.00341842i | ||||
\(647\) | 643.781 | − | 146.939i | 0.995024 | − | 0.227108i | 0.306146 | − | 0.951985i | \(-0.400961\pi\) |
0.688878 | + | 0.724877i | \(0.258103\pi\) | |||||||
\(648\) | −0.666113 | + | 5.91191i | −0.00102795 | + | 0.00912332i | ||||
\(649\) | 279.885 | + | 445.434i | 0.431255 | + | 0.686339i | ||||
\(650\) | −13.1712 | − | 13.1712i | −0.0202634 | − | 0.0202634i | ||||
\(651\) | 67.4052 | + | 15.3848i | 0.103541 | + | 0.0236326i | ||||
\(652\) | 389.668 | − | 1113.61i | 0.597650 | − | 1.70799i | ||||
\(653\) | 510.481 | + | 178.625i | 0.781747 | + | 0.273545i | 0.691502 | − | 0.722375i | \(-0.256949\pi\) |
0.0902449 | + | 0.995920i | \(0.471235\pi\) | |||||||
\(654\) | −0.377124 | + | 1.65229i | −0.000576642 | + | 0.00252643i | ||||
\(655\) | 1285.83 | − | 1285.83i | 1.96309 | − | 1.96309i | ||||
\(656\) | −51.7587 | + | 32.5221i | −0.0789004 | + | 0.0495764i | ||||
\(657\) | 1175.36 | + | 132.431i | 1.78898 | + | 0.201569i | ||||
\(658\) | 0.390105 | + | 1.70916i | 0.000592865 | + | 0.00259751i | ||||
\(659\) | 67.5559 | + | 42.4482i | 0.102513 | + | 0.0644131i | 0.582313 | − | 0.812965i | \(-0.302148\pi\) |
−0.479800 | + | 0.877378i | \(0.659291\pi\) | |||||||
\(660\) | −959.870 | − | 765.471i | −1.45435 | − | 1.15980i | ||||
\(661\) | −174.005 | + | 83.7962i | −0.263245 | + | 0.126772i | −0.560851 | − | 0.827917i | \(-0.689526\pi\) |
0.297606 | + | 0.954689i | \(0.403812\pi\) | |||||||
\(662\) | 3.71354 | + | 1.78834i | 0.00560957 | + | 0.00270143i | ||||
\(663\) | 195.996 | + | 245.771i | 0.295620 | + | 0.370696i | ||||
\(664\) | 7.96109 | − | 0.897000i | 0.0119896 | − | 0.00135090i | ||||
\(665\) | 220.543 | + | 630.275i | 0.331643 | + | 0.947782i | ||||
\(666\) | 14.6591i | 0.0220107i | ||||||||
\(667\) | −183.375 | + | 88.5736i | −0.274925 | + | 0.132794i | ||||
\(668\) | −227.731 | −0.340914 | ||||||||
\(669\) | 524.332 | − | 183.472i | 0.783755 | − | 0.274248i | ||||
\(670\) | 0.865900 | + | 7.68507i | 0.00129239 | + | 0.0114703i | ||||
\(671\) | 598.213 | − | 477.059i | 0.891524 | − | 0.710967i | ||||
\(672\) | −18.8532 | + | 39.1491i | −0.0280554 | + | 0.0582575i | ||||
\(673\) | 217.268 | + | 451.162i | 0.322835 | + | 0.670374i | 0.997716 | − | 0.0675528i | \(-0.0215191\pi\) |
−0.674880 | + | 0.737927i | \(0.735805\pi\) | |||||||
\(674\) | −4.25949 | + | 5.34124i | −0.00631973 | + | 0.00792469i | ||||
\(675\) | −564.017 | + | 897.628i | −0.835581 | + | 1.32982i | ||||
\(676\) | 184.733 | − | 42.1641i | 0.273274 | − | 0.0623730i | ||||
\(677\) | 32.4892 | − | 288.350i | 0.0479900 | − | 0.425923i | −0.946629 | − | 0.322325i | \(-0.895536\pi\) |
0.994619 | − | 0.103598i | \(-0.0330357\pi\) | |||||||
\(678\) | 4.68181 | + | 7.45106i | 0.00690533 | + | 0.0109898i | ||||
\(679\) | 469.552 | + | 469.552i | 0.691535 | + | 0.691535i | ||||
\(680\) | 13.5166 | + | 3.08509i | 0.0198774 | + | 0.00453689i | ||||
\(681\) | −386.738 | + | 1105.23i | −0.567898 | + | 1.62296i | ||||
\(682\) | −0.580438 | − | 0.203104i | −0.000851082 | − | 0.000297807i | ||||
\(683\) | −135.936 | + | 595.576i | −0.199028 | + | 0.871999i | 0.772489 | + | 0.635029i | \(0.219012\pi\) |
−0.971517 | + | 0.236971i | \(0.923845\pi\) | |||||||
\(684\) | −496.878 | + | 496.878i | −0.726430 | + | 0.726430i | ||||
\(685\) | 512.480 | − | 322.012i | 0.748145 | − | 0.470091i | ||||
\(686\) | −12.2106 | − | 1.37581i | −0.0177997 | − | 0.00200555i | ||||
\(687\) | 139.738 | + | 612.231i | 0.203403 | + | 0.891166i | ||||
\(688\) | 491.712 | + | 308.963i | 0.714698 | + | 0.449075i | ||||
\(689\) | −375.076 | − | 299.113i | −0.544378 | − | 0.434127i | ||||
\(690\) | 8.60552 | − | 4.14420i | 0.0124718 | − | 0.00600609i | ||||
\(691\) | 525.520 | + | 253.077i | 0.760521 | + | 0.366248i | 0.773606 | − | 0.633667i | \(-0.218451\pi\) |
−0.0130852 | + | 0.999914i | \(0.504165\pi\) | |||||||
\(692\) | 836.449 | + | 1048.87i | 1.20874 | + | 1.51571i | ||||
\(693\) | −574.157 | + | 64.6920i | −0.828509 | + | 0.0933506i | ||||
\(694\) | −1.07596 | − | 3.07490i | −0.00155037 | − | 0.00443070i | ||||
\(695\) | − | 945.431i | − | 1.36033i | ||||||
\(696\) | 32.5610 | + | 15.6336i | 0.0467831 | + | 0.0224621i | ||||
\(697\) | 23.0448 | 0.0330629 | ||||||||
\(698\) | −9.11839 | + | 3.19066i | −0.0130636 | + | 0.00457115i | ||||
\(699\) | −158.889 | − | 1410.18i | −0.227309 | − | 2.01742i | ||||
\(700\) | 932.869 | − | 743.938i | 1.33267 | − | 1.06277i | ||||
\(701\) | −400.779 | + | 832.225i | −0.571724 | + | 1.18720i | 0.391918 | + | 0.920000i | \(0.371812\pi\) |
−0.963642 | + | 0.267197i | \(0.913902\pi\) | |||||||
\(702\) | −3.25509 | − | 6.75926i | −0.00463688 | − | 0.00962857i | ||||
\(703\) | 272.943 | − | 342.260i | 0.388255 | − | 0.486857i | ||||
\(704\) | −252.622 | + | 402.046i | −0.358838 | + | 0.571088i | ||||
\(705\) | 368.788 | − | 84.1734i | 0.523103 | − | 0.119395i | ||||
\(706\) | 1.18627 | − | 10.5284i | 0.00168027 | − | 0.0149128i | ||||
\(707\) | −394.262 | − | 627.465i | −0.557655 | − | 0.887503i | ||||
\(708\) | −946.742 | − | 946.742i | −1.33721 | − | 1.33721i | ||||
\(709\) | −776.868 | − | 177.315i | −1.09572 | − | 0.250092i | −0.363799 | − | 0.931478i | \(-0.618520\pi\) |
−0.731924 | + | 0.681386i | \(0.761378\pi\) | |||||||
\(710\) | 9.09199 | − | 25.9834i | 0.0128056 | − | 0.0365964i | ||||
\(711\) | −772.131 | − | 270.180i | −1.08598 | − | 0.380000i | ||||
\(712\) | 6.05979 | − | 26.5497i | 0.00851094 | − | 0.0372889i | ||||
\(713\) | −12.4810 | + | 12.4810i | −0.0175049 | + | 0.0175049i | ||||
\(714\) | 4.62135 | − | 2.90378i | 0.00647247 | − | 0.00406692i | ||||
\(715\) | −711.362 | − | 80.1512i | −0.994911 | − | 0.112100i | ||||
\(716\) | 142.137 | + | 622.744i | 0.198516 | + | 0.869754i | ||||
\(717\) | −882.145 | − | 554.289i | −1.23033 | − | 0.773067i | ||||
\(718\) | 11.9453 | + | 9.52604i | 0.0166369 | + | 0.0132675i | ||||
\(719\) | 1063.27 | − | 512.044i | 1.47882 | − | 0.712162i | 0.491495 | − | 0.870880i | \(-0.336450\pi\) |
0.987324 | + | 0.158718i | \(0.0507361\pi\) | |||||||
\(720\) | 1682.09 | + | 810.051i | 2.33623 | + | 1.12507i | ||||
\(721\) | 590.278 | + | 740.186i | 0.818694 | + | 1.02661i | ||||
\(722\) | 6.15826 | − | 0.693870i | 0.00852945 | − | 0.000961038i | ||||
\(723\) | −52.4858 | − | 149.996i | −0.0725945 | − | 0.207463i | ||||
\(724\) | 975.927i | 1.34797i | ||||||||
\(725\) | −929.003 | − | 1162.14i | −1.28138 | − | 1.60295i | ||||
\(726\) | −10.2421 | −0.0141076 | ||||||||
\(727\) | −870.912 | + | 304.745i | −1.19795 | + | 0.419182i | −0.854233 | − | 0.519890i | \(-0.825973\pi\) |
−0.343721 | + | 0.939072i | \(0.611687\pi\) | |||||||
\(728\) | 1.89109 | + | 16.7839i | 0.00259765 | + | 0.0230548i | ||||
\(729\) | 923.802 | − | 736.708i | 1.26722 | − | 1.01057i | ||||
\(730\) | 11.0395 | − | 22.9239i | 0.0151227 | − | 0.0314025i | ||||
\(731\) | −94.9894 | − | 197.247i | −0.129944 | − | 0.269832i | ||||
\(732\) | −1214.16 | + | 1522.51i | −1.65869 | + | 2.07994i | ||||
\(733\) | 503.422 | − | 801.192i | 0.686797 | − | 1.09303i | −0.303334 | − | 0.952884i | \(-0.598100\pi\) |
0.990131 | − | 0.140147i | \(-0.0447574\pi\) | |||||||
\(734\) | −3.14053 | + | 0.716806i | −0.00427866 | + | 0.000976575i | ||||
\(735\) | −70.1997 | + | 623.039i | −0.0955098 | + | 0.847673i | ||||
\(736\) | −5.90191 | − | 9.39283i | −0.00801890 | − | 0.0127620i | ||||
\(737\) | 141.308 | + | 141.308i | 0.191734 | + | 0.191734i | ||||
\(738\) | −1.64073 | − | 0.374485i | −0.00222321 | − | 0.000507433i | ||||
\(739\) | −400.530 | + | 1144.65i | −0.541990 | + | 1.54892i | 0.268569 | + | 0.963260i | \(0.413449\pi\) |
−0.810559 | + | 0.585657i | \(0.800836\pi\) | |||||||
\(740\) | −1098.13 | − | 384.252i | −1.48396 | − | 0.519259i | ||||
\(741\) | −152.551 | + | 668.369i | −0.205872 | + | 0.901982i | ||||
\(742\) | −5.88979 | + | 5.88979i | −0.00793772 | + | 0.00793772i | ||||
\(743\) | 670.026 | − | 421.005i | 0.901785 | − | 0.566629i | 0.000569123 | − | 1.00000i | \(-0.499819\pi\) |
0.901216 | + | 0.433371i | \(0.142676\pi\) | |||||||
\(744\) | 3.11095 | + | 0.350519i | 0.00418138 | + | 0.000471128i | ||||
\(745\) | −106.214 | − | 465.354i | −0.142569 | − | 0.624636i | ||||
\(746\) | −9.20693 | − | 5.78510i | −0.0123417 | − | 0.00775482i | ||||
\(747\) | −317.980 | − | 253.581i | −0.425676 | − | 0.339465i | ||||
\(748\) | 161.366 | − | 77.7096i | 0.215730 | − | 0.103890i | ||||
\(749\) | −355.579 | − | 171.238i | −0.474738 | − | 0.228622i | ||||
\(750\) | 22.3071 | + | 27.9722i | 0.0297428 | + | 0.0372963i | ||||
\(751\) | −73.9585 | + | 8.33312i | −0.0984800 | + | 0.0110960i | −0.161067 | − | 0.986943i | \(-0.551494\pi\) |
0.0625869 | + | 0.998040i | \(0.480065\pi\) | |||||||
\(752\) | −48.3453 | − | 138.163i | −0.0642890 | − | 0.183727i | ||||
\(753\) | − | 246.905i | − | 0.327895i | ||||||
\(754\) | 10.4614 | − | 1.19112i | 0.0138745 | − | 0.00157974i | ||||
\(755\) | 1671.64 | 2.21409 | ||||||||
\(756\) | 453.602 | − | 158.722i | 0.600002 | − | 0.209950i | ||||
\(757\) | −21.2663 | − | 188.743i | −0.0280928 | − | 0.249331i | −0.999908 | − | 0.0135854i | \(-0.995675\pi\) |
0.971815 | − | 0.235745i | \(-0.0757531\pi\) | |||||||
\(758\) | 5.99756 | − | 4.78289i | 0.00791235 | − | 0.00630989i | ||||
\(759\) | 107.086 | − | 222.367i | 0.141089 | − | 0.292974i | ||||
\(760\) | 13.1188 | + | 27.2416i | 0.0172616 | + | 0.0358442i | ||||
\(761\) | 363.348 | − | 455.624i | 0.477461 | − | 0.598717i | −0.483520 | − | 0.875334i | \(-0.660642\pi\) |
0.960980 | + | 0.276617i | \(0.0892132\pi\) | |||||||
\(762\) | −18.9240 | + | 30.1174i | −0.0248347 | + | 0.0395242i | ||||
\(763\) | −61.7139 | + | 14.0858i | −0.0808833 | + | 0.0184611i | ||||
\(764\) | 105.476 | − | 936.130i | 0.138058 | − | 1.22530i | ||||
\(765\) | −374.463 | − | 595.955i | −0.489494 | − | 0.779026i | ||||
\(766\) | 5.45955 | + | 5.45955i | 0.00712735 | + | 0.00712735i | ||||
\(767\) | −761.114 | − | 173.719i | −0.992326 | − | 0.226492i | ||||
\(768\) | 398.810 | − | 1139.73i | 0.519284 | − | 1.48403i | ||||
\(769\) | −652.165 | − | 228.202i | −0.848069 | − | 0.296752i | −0.128960 | − | 0.991650i | \(-0.541164\pi\) |
−0.719109 | + | 0.694898i | \(0.755450\pi\) | |||||||
\(770\) | −2.76573 | + | 12.1174i | −0.00359185 | + | 0.0157369i | ||||
\(771\) | 117.807 | − | 117.807i | 0.152798 | − | 0.152798i | ||||
\(772\) | −642.953 | + | 403.994i | −0.832840 | + | 0.523308i | ||||
\(773\) | −42.4335 | − | 4.78110i | −0.0548945 | − | 0.00618513i | 0.0844745 | − | 0.996426i | \(-0.473079\pi\) |
−0.139369 | + | 0.990241i | \(0.544507\pi\) | |||||||
\(774\) | 3.55765 | + | 15.5871i | 0.00459644 | + | 0.0201383i | ||||
\(775\) | −109.189 | − | 68.6083i | −0.140890 | − | 0.0885268i | ||||
\(776\) | 23.5084 | + | 18.7473i | 0.0302943 | + | 0.0241589i | ||||
\(777\) | −825.398 | + | 397.491i | −1.06229 | + | 0.511571i | ||||
\(778\) | −12.4668 | − | 6.00370i | −0.0160242 | − | 0.00771684i | ||||
\(779\) | 31.3349 | + | 39.2928i | 0.0402246 | + | 0.0504400i | ||||
\(780\) | 1810.49 | − | 203.993i | 2.32114 | − | 0.261530i | ||||
\(781\) | −234.938 | − | 671.414i | −0.300817 | − | 0.859684i | ||||
\(782\) | 1.39338i | 0.00178182i | ||||||||
\(783\) | −198.578 | − | 565.379i | −0.253612 | − | 0.722067i | ||||
\(784\) | 242.619 | 0.309463 | ||||||||
\(785\) | −529.750 | + | 185.368i | −0.674841 | + | 0.236137i | ||||
\(786\) | −3.62926 | − | 32.2106i | −0.00461738 | − | 0.0409804i | ||||
\(787\) | −294.003 | + | 234.460i | −0.373575 | + | 0.297916i | −0.792222 | − | 0.610233i | \(-0.791076\pi\) |
0.418647 | + | 0.908149i | \(0.362504\pi\) | |||||||
\(788\) | 400.580 | − | 831.813i | 0.508350 | − | 1.05560i | ||||
\(789\) | 158.096 | + | 328.290i | 0.200375 | + | 0.416083i | ||||
\(790\) | −10.9716 | + | 13.7580i | −0.0138881 | + | 0.0174151i | ||||
\(791\) | −174.868 | + | 278.302i | −0.221073 | + | 0.351835i | ||||
\(792\) | −25.5066 | + | 5.82173i | −0.0322054 | + | 0.00735066i | ||||
\(793\) | −127.133 | + | 1128.34i | −0.160319 | + | 1.42287i | ||||
\(794\) | −4.86707 | − | 7.74589i | −0.00612981 | − | 0.00975554i | ||||
\(795\) | 1270.85 | + | 1270.85i | 1.59855 | + | 1.59855i | ||||
\(796\) | 583.743 | + | 133.236i | 0.733346 | + | 0.167381i | ||||
\(797\) | −340.277 | + | 972.455i | −0.426947 | + | 1.22014i | 0.506754 | + | 0.862091i | \(0.330845\pi\) |
−0.933701 | + | 0.358054i | \(0.883440\pi\) | |||||||
\(798\) | 11.2349 | + | 3.93127i | 0.0140789 | + | 0.00492641i | ||||
\(799\) | −12.2794 | + | 53.7995i | −0.0153685 | + | 0.0673336i | ||||
\(800\) | 57.3079 | − | 57.3079i | 0.0716348 | − | 0.0716348i | ||||
\(801\) | −1170.59 | + | 735.528i | −1.46141 | + | 0.918263i | ||||
\(802\) | −7.19346 | − | 0.810508i | −0.00896940 | − | 0.00101061i | ||||
\(803\) | −146.299 | − | 640.980i | −0.182191 | − | 0.798231i | ||||
\(804\) | −430.654 | − | 270.598i | −0.535639 | − | 0.336564i | ||||
\(805\) | 278.919 | + | 222.430i | 0.346483 | + | 0.276311i | ||||
\(806\) | 0.822211 | − | 0.395956i | 0.00102011 | − | 0.000491260i | ||||
\(807\) | −325.777 | − | 156.886i | −0.403689 | − | 0.194406i | ||||
\(808\) | −20.9212 | − | 26.2344i | −0.0258926 | − | 0.0324683i | ||||
\(809\) | −413.981 | + | 46.6445i | −0.511720 | + | 0.0576570i | −0.364049 | − | 0.931380i | \(-0.618606\pi\) |
−0.147670 | + | 0.989037i | \(0.547178\pi\) | |||||||
\(810\) | −2.14581 | − | 6.13238i | −0.00264915 | − | 0.00757083i | ||||
\(811\) | 572.435i | 0.705838i | 0.935654 | + | 0.352919i | \(0.114811\pi\) | ||||
−0.935654 | + | 0.352919i | \(0.885189\pi\) | |||||||
\(812\) | 0.789856 | + | 674.454i | 0.000972730 | + | 0.830608i | ||||
\(813\) | −1629.16 | −2.00389 | ||||||||
\(814\) | 7.69110 | − | 2.69123i | 0.00944852 | − | 0.00330618i | ||||
\(815\) | 288.553 | + | 2560.98i | 0.354053 | + | 3.14231i | ||||
\(816\) | −356.289 | + | 284.131i | −0.436628 | + | 0.348200i | ||||
\(817\) | 207.158 | − | 430.167i | 0.253559 | − | 0.526520i | ||||
\(818\) | −5.48737 | − | 11.3946i | −0.00670828 | − | 0.0139299i | ||||
\(819\) | 534.608 | − | 670.377i | 0.652757 | − | 0.818531i | ||||
\(820\) | 71.0606 | − | 113.092i | 0.0866592 | − | 0.137917i | ||||
\(821\) | 839.464 | − | 191.602i | 1.02249 | − | 0.233376i | 0.321773 | − | 0.946817i | \(-0.395721\pi\) |
0.700716 | + | 0.713440i | \(0.252864\pi\) | |||||||
\(822\) | 1.20797 | − | 10.7210i | 0.00146955 | − | 0.0130426i | ||||
\(823\) | −428.435 | − | 681.850i | −0.520577 | − | 0.828493i | 0.478184 | − | 0.878260i | \(-0.341295\pi\) |
−0.998761 | + | 0.0497666i | \(0.984152\pi\) | |||||||
\(824\) | 30.3126 | + | 30.3126i | 0.0367871 | + | 0.0367871i | ||||
\(825\) | 1757.96 | + | 401.242i | 2.13086 | + | 0.486354i | ||||
\(826\) | −4.47679 | + | 12.7939i | −0.00541985 | + | 0.0154890i | ||||
\(827\) | −88.3126 | − | 30.9019i | −0.106787 | − | 0.0373663i | 0.276357 | − | 0.961055i | \(-0.410873\pi\) |
−0.383144 | + | 0.923689i | \(0.625159\pi\) | |||||||
\(828\) | −83.5390 | + | 366.008i | −0.100893 | + | 0.442039i | ||||
\(829\) | −587.801 | + | 587.801i | −0.709048 | + | 0.709048i | −0.966335 | − | 0.257287i | \(-0.917171\pi\) |
0.257287 | + | 0.966335i | \(0.417171\pi\) | |||||||
\(830\) | −7.40793 | + | 4.65471i | −0.00892522 | + | 0.00560809i | ||||
\(831\) | 1216.80 | + | 137.101i | 1.46426 | + | 0.164983i | ||||
\(832\) | −156.798 | − | 686.976i | −0.188459 | − | 0.825693i | ||||
\(833\) | −77.4460 | − | 48.6625i | −0.0929724 | − | 0.0584184i | ||||
\(834\) | −13.1760 | − | 10.5075i | −0.0157986 | − | 0.0125989i | ||||
\(835\) | 448.191 | − | 215.837i | 0.536755 | − | 0.258488i | ||||
\(836\) | 351.914 | + | 169.473i | 0.420950 | + | 0.202719i | ||||
\(837\) | −32.3830 | − | 40.6070i | −0.0386893 | − | 0.0485149i | ||||
\(838\) | 8.66244 | − | 0.976022i | 0.0103370 | − | 0.00116470i | ||||
\(839\) | 273.856 | + | 782.636i | 0.326408 | + | 0.932820i | 0.983800 | + | 0.179271i | \(0.0573740\pi\) |
−0.657392 | + | 0.753549i | \(0.728340\pi\) | |||||||
\(840\) | − | 63.2751i | − | 0.0753275i | ||||||
\(841\) | 840.998 | − | 1.96980i | 0.999997 | − | 0.00234221i | ||||
\(842\) | −7.35694 | −0.00873746 | ||||||||
\(843\) | 1823.87 | − | 638.199i | 2.16354 | − | 0.757056i | ||||
\(844\) | −55.6103 | − | 493.555i | −0.0658889 | − | 0.584780i | ||||
\(845\) | −323.607 | + | 258.068i | −0.382966 | + | 0.305405i | ||||
\(846\) | 1.74852 | − | 3.63083i | 0.00206681 | − | 0.00429176i | ||||
\(847\) | −165.982 | − | 344.664i | −0.195964 | − | 0.406924i | ||||
\(848\) | 433.617 | − | 543.739i | 0.511341 | − | 0.641202i | ||||
\(849\) | 393.285 | − | 625.910i | 0.463233 | − | 0.737232i | ||||
\(850\) | −9.92468 | + | 2.26524i | −0.0116761 | + | 0.00266499i | ||||
\(851\) | 26.1865 | − | 232.411i | 0.0307714 | − | 0.273104i | ||||
\(852\) | 963.197 | + | 1532.92i | 1.13051 | + | 1.79920i | ||||
\(853\) | −862.103 | − | 862.103i | −1.01067 | − | 1.01067i | −0.999942 | − | 0.0107293i | \(-0.996585\pi\) |
−0.0107293 | − | 0.999942i | \(-0.503415\pi\) | |||||||
\(854\) | 19.2203 | + | 4.38690i | 0.0225062 | + | 0.00513689i | ||||
\(855\) | 506.965 | − | 1448.82i | 0.592942 | − | 1.69453i | ||||
\(856\) | −16.8677 | − | 5.90225i | −0.0197052 | − | 0.00689515i | ||||
\(857\) | 172.103 | − | 754.033i | 0.200821 | − | 0.879852i | −0.769618 | − | 0.638504i | \(-0.779553\pi\) |
0.970439 | − | 0.241348i | \(-0.0775895\pi\) | |||||||
\(858\) | −9.02310 | + | 9.02310i | −0.0105164 | + | 0.0105164i | ||||
\(859\) | −415.831 | + | 261.284i | −0.484087 | + | 0.304172i | −0.751875 | − | 0.659306i | \(-0.770850\pi\) |
0.267788 | + | 0.963478i | \(0.413707\pi\) | |||||||
\(860\) | −1260.90 | − | 142.069i | −1.46616 | − | 0.165196i | ||||
\(861\) | −23.4035 | − | 102.537i | −0.0271818 | − | 0.119091i | ||||
\(862\) | 5.87869 | + | 3.69382i | 0.00681982 | + | 0.00428518i | ||||
\(863\) | 1303.93 | + | 1039.85i | 1.51093 | + | 1.20493i | 0.916019 | + | 0.401135i | \(0.131384\pi\) |
0.594911 | + | 0.803792i | \(0.297187\pi\) | |||||||
\(864\) | 29.4095 | − | 14.1629i | 0.0340388 | − | 0.0163922i | ||||
\(865\) | −2640.29 | − | 1271.50i | −3.05236 | − | 1.46994i | ||||
\(866\) | 3.33680 | + | 4.18422i | 0.00385312 | + | 0.00483166i | ||||
\(867\) | −1187.54 | + | 133.803i | −1.36971 | + | 0.154329i | ||||
\(868\) | 19.3073 | + | 55.1771i | 0.0222434 | + | 0.0635681i | ||||
\(869\) | 454.710i | 0.523257i | ||||||||
\(870\) | −39.4445 | + | 0.0461937i | −0.0453385 | + | 5.30962e-5i | ||||
\(871\) | −296.563 | −0.340486 | ||||||||
\(872\) | −2.70545 | + | 0.946679i | −0.00310258 | + | 0.00108564i | ||||
\(873\) | −170.909 | − | 1516.86i | −0.195772 | − | 1.73752i | ||||
\(874\) | −2.37579 | + | 1.89463i | −0.00271830 | + | 0.00216777i | ||||
\(875\) | −579.809 | + | 1203.99i | −0.662639 | + | 1.37598i | ||||
\(876\) | 726.023 | + | 1507.60i | 0.828793 | + | 1.72101i | ||||
\(877\) | −120.936 | + | 151.649i | −0.137898 | + | 0.172918i | −0.845985 | − | 0.533207i | \(-0.820987\pi\) |
0.708087 | + | 0.706125i | \(0.249558\pi\) | |||||||
\(878\) | 9.06620 | − | 14.4288i | 0.0103260 | − | 0.0164337i | ||||
\(879\) | −650.890 | + | 148.561i | −0.740489 | + | 0.169012i | ||||
\(880\) | 116.193 | − | 1031.24i | 0.132038 | − | 1.17187i | ||||
\(881\) | 606.620 | + | 965.430i | 0.688558 | + | 1.09583i | 0.989824 | + | 0.142294i | \(0.0454479\pi\) |
−0.301266 | + | 0.953540i | \(0.597409\pi\) | |||||||
\(882\) | 4.72316 | + | 4.72316i | 0.00535505 | + | 0.00535505i | ||||
\(883\) | 621.243 | + | 141.795i | 0.703559 | + | 0.160583i | 0.559310 | − | 0.828959i | \(-0.311066\pi\) |
0.144249 | + | 0.989541i | \(0.453923\pi\) | |||||||
\(884\) | −87.7846 | + | 250.874i | −0.0993038 | + | 0.283794i | ||||
\(885\) | 2760.56 | + | 965.961i | 3.11928 | + | 1.09148i | ||||
\(886\) | 2.82652 | − | 12.3838i | 0.00319020 | − | 0.0139772i | ||||
\(887\) | −874.721 | + | 874.721i | −0.986157 | + | 0.986157i | −0.999905 | − | 0.0137484i | \(-0.995624\pi\) |
0.0137484 | + | 0.999905i | \(0.495624\pi\) | |||||||
\(888\) | −35.1242 | + | 22.0700i | −0.0395543 | + | 0.0248536i | ||||
\(889\) | −1320.18 | − | 148.749i | −1.48502 | − | 0.167321i | ||||
\(890\) | 6.61760 | + | 28.9936i | 0.00743551 | + | 0.0325771i | ||||
\(891\) | −142.150 | − | 89.3186i | −0.159540 | − | 0.100245i | ||||
\(892\) | 367.215 | + | 292.844i | 0.411676 | + | 0.328301i | ||||
\(893\) | −108.428 | + | 52.2162i | −0.121420 | + | 0.0584728i | ||||
\(894\) | −7.66587 | − | 3.69169i | −0.00857480 | − | 0.00412940i | ||||
\(895\) | −869.958 | − | 1090.89i | −0.972020 | − | 1.21887i | ||||
\(896\) | −48.6755 | + | 5.48441i | −0.0543254 | + | 0.00612100i | ||||
\(897\) | 120.970 | + | 345.713i | 0.134861 | + | 0.385410i | ||||
\(898\) | 5.13517i | 0.00571845i | ||||||||
\(899\) | 68.7739 | − | 24.1555i | 0.0765005 | − | 0.0268693i | ||||
\(900\) | −2742.79 | −3.04755 | ||||||||
\(901\) | −247.473 | + | 86.5946i | −0.274665 | + | 0.0961094i | ||||
\(902\) | 0.104739 | + | 0.929580i | 0.000116118 | + | 0.00103058i | ||||
\(903\) | −781.179 | + | 622.970i | −0.865094 | + | 0.689889i | ||||
\(904\) | −6.45740 | + | 13.4089i | −0.00714314 | + | 0.0148329i | ||||
\(905\) | −924.960 | − | 1920.70i | −1.02205 | − | 2.12232i | ||||
\(906\) | 18.5786 | − | 23.2968i | 0.0205061 | − | 0.0257139i | ||||
\(907\) | 595.833 | − | 948.263i | 0.656927 | − | 1.04549i | −0.337627 | − | 0.941280i | \(-0.609624\pi\) |
0.994555 | − | 0.104214i | \(-0.0332328\pi\) | |||||||
\(908\) | −965.224 | + | 220.306i | −1.06302 | + | 0.242628i | ||||
\(909\) | −190.727 | + | 1692.75i | −0.209821 | + | 1.86221i | ||||
\(910\) | −9.81323 | − | 15.6177i | −0.0107838 | − | 0.0171623i | ||||
\(911\) | 616.759 | + | 616.759i | 0.677013 | + | 0.677013i | 0.959323 | − | 0.282310i | \(-0.0911007\pi\) |
−0.282310 | + | 0.959323i | \(0.591101\pi\) | |||||||
\(912\) | −968.919 | − | 221.149i | −1.06241 | − | 0.242488i | ||||
\(913\) | −74.6672 | + | 213.387i | −0.0817823 | + | 0.233720i | ||||
\(914\) | 21.9099 | + | 7.66661i | 0.0239715 | + | 0.00838797i | ||||
\(915\) | 946.566 | − | 4147.17i | 1.03450 | − | 4.53243i | ||||
\(916\) | −375.446 | + | 375.446i | −0.409875 | + | 0.409875i | ||||
\(917\) | 1025.13 | − | 644.129i | 1.11791 | − | 0.702431i | ||||
\(918\) | −4.07430 | − | 0.459064i | −0.00443824 | − | 0.000500069i | ||||
\(919\) | 11.3108 | + | 49.5559i | 0.0123077 | + | 0.0539238i | 0.980709 | − | 0.195474i | \(-0.0626245\pi\) |
−0.968401 | + | 0.249398i | \(0.919767\pi\) | |||||||
\(920\) | 13.6778 | + | 8.59436i | 0.0148672 | + | 0.00934169i | ||||
\(921\) | 1108.18 | + | 883.747i | 1.20324 | + | 0.959551i | ||||
\(922\) | −14.1182 | + | 6.79897i | −0.0153126 | + | 0.00737415i | ||||
\(923\) | 951.081 | + | 458.016i | 1.03042 | + | 0.496226i | ||||
\(924\) | −509.644 | − | 639.073i | −0.551563 | − | 0.691638i | ||||
\(925\) | 1697.98 | − | 191.316i | 1.83565 | − | 0.206828i | ||||
\(926\) | 4.74974 | + | 13.5740i | 0.00512930 | + | 0.0146587i | ||||
\(927\) | − | 2176.27i | − | 2.34765i | ||||||
\(928\) | 5.18257 | + | 45.5174i | 0.00558466 | + | 0.0490489i | ||||
\(929\) | −235.953 | −0.253986 | −0.126993 | − | 0.991904i | \(-0.540533\pi\) | ||||
−0.126993 | + | 0.991904i | \(0.540533\pi\) | |||||||
\(930\) | −3.22696 | + | 1.12916i | −0.00346985 | + | 0.00121415i | ||||
\(931\) | −22.3338 | − | 198.218i | −0.0239891 | − | 0.212909i | ||||
\(932\) | 938.092 | − | 748.103i | 1.00654 | − | 0.802686i | ||||
\(933\) | −1.17011 | + | 2.42976i | −0.00125414 | + | 0.00260424i | ||||
\(934\) | −2.87406 | − | 5.96804i | −0.00307715 | − | 0.00638977i | ||||
\(935\) | −243.929 | + | 305.877i | −0.260886 | + | 0.327141i | ||||
\(936\) | 20.6564 | − | 32.8745i | 0.0220688 | − | 0.0351223i | ||||
\(937\) | 616.083 | − | 140.617i | 0.657506 | − | 0.150072i | 0.119265 | − | 0.992862i | \(-0.461946\pi\) |
0.538241 | + | 0.842791i | \(0.319089\pi\) | |||||||
\(938\) | −0.576509 | + | 5.11666i | −0.000614615 | + | 0.00545486i | ||||
\(939\) | −33.3445 | − | 53.0674i | −0.0355106 | − | 0.0565148i | ||||
\(940\) | 226.156 | + | 226.156i | 0.240592 | + | 0.240592i | ||||
\(941\) | −1147.00 | − | 261.796i | −1.21892 | − | 0.278210i | −0.435778 | − | 0.900054i | \(-0.643527\pi\) |
−0.783141 | + | 0.621844i | \(0.786384\pi\) | |||||||
\(942\) | −3.30426 | + | 9.44304i | −0.00350771 | + | 0.0100245i | ||||
\(943\) | 25.3438 | + | 8.86816i | 0.0268757 | + | 0.00940420i | ||||
\(944\) | 251.837 | − | 1103.37i | 0.266776 | − | 1.16882i | ||||
\(945\) | −742.289 | + | 742.289i | −0.785491 | + | 0.785491i | ||||
\(946\) | 7.52482 | − | 4.72816i | 0.00795436 | − | 0.00499805i | ||||
\(947\) | 1021.26 | + | 115.069i | 1.07842 | + | 0.121509i | 0.633258 | − | 0.773941i | \(-0.281717\pi\) |
0.445163 | + | 0.895450i | \(0.353146\pi\) | |||||||
\(948\) | −257.520 | − | 1128.27i | −0.271646 | − | 1.19016i | ||||
\(949\) | 826.132 | + | 519.093i | 0.870529 | + | 0.546990i | ||||
\(950\) | −17.3573 | − | 13.8420i | −0.0182709 | − | 0.0145705i | ||||
\(951\) | −2172.26 | + | 1046.11i | −2.28419 | + | 1.10001i | ||||
\(952\) | 8.31658 | + | 4.00505i | 0.00873590 | + | 0.00420699i | ||||
\(953\) | 19.5708 | + | 24.5410i | 0.0205360 | + | 0.0257514i | 0.791993 | − | 0.610530i | \(-0.209043\pi\) |
−0.771457 | + | 0.636281i | \(0.780472\pi\) | |||||||
\(954\) | 19.0266 | − | 2.14378i | 0.0199440 | − | 0.00224715i | ||||
\(955\) | 679.655 | + | 1942.34i | 0.711680 | + | 2.03387i | ||||
\(956\) | − | 880.882i | − | 0.921424i | ||||||
\(957\) | −796.137 | + | 636.425i | −0.831909 | + | 0.665021i | ||||
\(958\) | 21.8298 | 0.0227869 | ||||||||
\(959\) | 380.357 | − | 133.093i | 0.396618 | − | 0.138783i | ||||
\(960\) | 295.564 | + | 2623.20i | 0.307879 | + | 2.73250i | ||||
\(961\) | −746.401 | + | 595.235i | −0.776692 | + | 0.619391i | ||||
\(962\) | −5.24662 | + | 10.8947i | −0.00545386 | + | 0.0113251i | ||||
\(963\) | 393.627 | + | 817.374i | 0.408751 | + | 0.848779i | ||||
\(964\) | 83.7740 | − | 105.049i | 0.0869025 | − | 0.108972i | ||||
\(965\) | 882.484 | − | 1404.47i | 0.914491 | − | 1.45540i | ||||
\(966\) | 6.19981 | − | 1.41507i | 0.00641802 | − | 0.00146487i | ||||
\(967\) | 14.3688 | − | 127.526i | 0.0148591 | − | 0.131878i | −0.984092 | − | 0.177657i | \(-0.943148\pi\) |
0.998952 | + | 0.0457785i | \(0.0145768\pi\) | |||||||
\(968\) | −9.21584 | − | 14.6669i | −0.00952050 | − | 0.0151518i | ||||
\(969\) | 264.931 | + | 264.931i | 0.273406 | + | 0.273406i | ||||
\(970\) | −32.0129 | − | 7.30674i | −0.0330030 | − | 0.00753272i | ||||
\(971\) | 536.186 | − | 1532.33i | 0.552200 | − | 1.57810i | −0.241895 | − | 0.970303i | \(-0.577769\pi\) |
0.794094 | − | 0.607794i | \(-0.207945\pi\) | |||||||
\(972\) | 1105.25 | + | 386.743i | 1.13709 | + | 0.397883i | ||||
\(973\) | 140.068 | − | 613.678i | 0.143955 | − | 0.630707i | ||||
\(974\) | 2.53768 | − | 2.53768i | 0.00260542 | − | 0.00260542i | ||||
\(975\) | −2265.76 | + | 1423.67i | −2.32385 | + | 1.46017i | ||||
\(976\) | −1635.72 | − | 184.302i | −1.67595 | − | 0.188834i | ||||
\(977\) | 314.486 | + | 1377.85i | 0.321889 | + | 1.41029i | 0.834187 | + | 0.551481i | \(0.185937\pi\) |
−0.512298 | + | 0.858808i | \(0.671206\pi\) | |||||||
\(978\) | 38.8981 | + | 24.4413i | 0.0397731 | + | 0.0249911i | ||||
\(979\) | 600.810 | + | 479.130i | 0.613697 | + | 0.489407i | ||||
\(980\) | −477.622 | + | 230.010i | −0.487369 | + | 0.234705i | ||||
\(981\) | 131.101 | + | 63.1349i | 0.133640 | + | 0.0643577i | ||||
\(982\) | 9.50048 | + | 11.9132i | 0.00967462 | + | 0.0121316i | ||||
\(983\) | 1072.31 | − | 120.821i | 1.09086 | − | 0.122910i | 0.451838 | − | 0.892100i | \(-0.350769\pi\) |
0.639020 | + | 0.769190i | \(0.279340\pi\) | |||||||
\(984\) | −1.57290 | − | 4.49509i | −0.00159848 | − | 0.00456818i | ||||
\(985\) | 2016.73i | 2.04744i | ||||||||
\(986\) | 2.49061 | − | 5.18733i | 0.00252597 | − | 0.00526098i | ||||
\(987\) | 251.850 | 0.255167 | ||||||||
\(988\) | −547.118 | + | 191.445i | −0.553764 | + | 0.193770i | ||||
\(989\) | −28.5602 | − | 253.479i | −0.0288778 | − | 0.256298i | ||||
\(990\) | 22.3376 | − | 17.8137i | 0.0225633 | − | 0.0179936i | ||||
\(991\) | 248.463 | − | 515.939i | 0.250719 | − | 0.520624i | −0.737184 | − | 0.675692i | \(-0.763845\pi\) |
0.987904 | + | 0.155067i | \(0.0495594\pi\) | |||||||
\(992\) | 1.72280 | + | 3.57744i | 0.00173670 | + | 0.00360629i | ||||
\(993\) | 369.180 | − | 462.937i | 0.371783 | − | 0.466201i | ||||
\(994\) | 9.75111 | − | 15.5188i | 0.00980997 | − | 0.0156125i | ||||
\(995\) | −1275.13 | + | 291.040i | −1.28154 | + | 0.292502i | ||||
\(996\) | 64.4220 | − | 571.761i | 0.0646808 | − | 0.574058i | ||||
\(997\) | 256.454 | + | 408.145i | 0.257226 | + | 0.409373i | 0.950224 | − | 0.311566i | \(-0.100854\pi\) |
−0.692998 | + | 0.720939i | \(0.743711\pi\) | |||||||
\(998\) | 6.40531 | + | 6.40531i | 0.00641815 | + | 0.00641815i | ||||
\(999\) | 670.953 | + | 153.141i | 0.671625 | + | 0.153294i |
(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 | 29.3.f.a.11.3 | yes | 48 | |
3.2 | odd | 2 | 261.3.s.a.127.2 | 48 | |||
29.8 | odd | 28 | inner | 29.3.f.a.8.3 | ✓ | 48 | |
87.8 | even | 28 | 261.3.s.a.37.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.8.3 | ✓ | 48 | 29.8 | odd | 28 | inner | |
29.3.f.a.11.3 | yes | 48 | 1.1 | even | 1 | trivial | |
261.3.s.a.37.2 | 48 | 87.8 | even | 28 | |||
261.3.s.a.127.2 | 48 | 3.2 | odd | 2 |