Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(35,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.v (of order \(18\), degree \(6\), not 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 216) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 35.9 | ||
Character | \(\chi\) | \(=\) | 648.35 |
Dual form | 648.2.v.b.611.9 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.860856 | + | 1.12202i | −0.608717 | + | 0.793387i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.517853 | − | 1.93179i | −0.258926 | − | 0.965897i | ||||
\(5\) | −3.00936 | − | 1.09532i | −1.34583 | − | 0.489842i | −0.434185 | − | 0.900824i | \(-0.642964\pi\) |
−0.911643 | + | 0.410982i | \(0.865186\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.58614 | − | 0.808660i | −1.73340 | − | 0.305645i | −0.784242 | − | 0.620455i | \(-0.786948\pi\) |
−0.949155 | + | 0.314810i | \(0.898059\pi\) | |||||||
\(8\) | 2.61331 | + | 1.08196i | 0.923943 | + | 0.382529i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.81960 | − | 2.43365i | 1.20786 | − | 0.769588i | ||||
\(11\) | 0.303411 | + | 0.833616i | 0.0914819 | + | 0.251345i | 0.976992 | − | 0.213275i | \(-0.0684132\pi\) |
−0.885510 | + | 0.464620i | \(0.846191\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.22056 | + | 1.45461i | 0.338523 | + | 0.403436i | 0.908270 | − | 0.418384i | \(-0.137403\pi\) |
−0.569747 | + | 0.821820i | \(0.692959\pi\) | |||||||
\(14\) | 4.85534 | − | 4.44959i | 1.29764 | − | 1.18920i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.46366 | + | 2.00077i | −0.865914 | + | 0.500192i | ||||
\(17\) | 4.03247 | − | 2.32815i | 0.978017 | − | 0.564658i | 0.0763460 | − | 0.997081i | \(-0.475675\pi\) |
0.901671 | + | 0.432423i | \(0.142341\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.171350 | + | 0.296787i | −0.0393104 | + | 0.0680876i | −0.885011 | − | 0.465570i | \(-0.845849\pi\) |
0.845701 | + | 0.533657i | \(0.179183\pi\) | |||||||
\(20\) | −0.557523 | + | 6.38069i | −0.124666 | + | 1.42676i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.19653 | − | 0.377190i | −0.255100 | − | 0.0804172i | ||||
\(23\) | 1.00156 | + | 5.68012i | 0.208839 | + | 1.18439i | 0.891282 | + | 0.453449i | \(0.149806\pi\) |
−0.682443 | + | 0.730939i | \(0.739082\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.02633 | + | 3.37849i | 0.805265 | + | 0.675698i | ||||
\(26\) | −2.68283 | + | 0.117284i | −0.526146 | + | 0.0230013i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.812780 | + | 9.27824i | 0.153601 | + | 1.75342i | ||||
\(29\) | 4.16935 | + | 3.49850i | 0.774229 | + | 0.649655i | 0.941788 | − | 0.336207i | \(-0.109144\pi\) |
−0.167559 | + | 0.985862i | \(0.553589\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.80815 | − | 1.37679i | 1.40238 | − | 0.247278i | 0.579262 | − | 0.815142i | \(-0.303341\pi\) |
0.823123 | + | 0.567864i | \(0.192230\pi\) | |||||||
\(32\) | 0.736809 | − | 5.60866i | 0.130251 | − | 0.991481i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.859151 | + | 6.52870i | −0.147343 | + | 1.11966i | ||||
\(35\) | 12.9156 | + | 7.45683i | 2.18314 | + | 1.26044i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.31812 | + | 1.33837i | −0.381097 | + | 0.220026i | −0.678295 | − | 0.734789i | \(-0.737281\pi\) |
0.297199 | + | 0.954816i | \(0.403948\pi\) | |||||||
\(38\) | −0.185493 | − | 0.447749i | −0.0300909 | − | 0.0726344i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.67930 | − | 6.11841i | −1.05609 | − | 0.967405i | ||||
\(41\) | −0.0346849 | − | 0.0413359i | −0.00541687 | − | 0.00645558i | 0.763329 | − | 0.646010i | \(-0.223563\pi\) |
−0.768746 | + | 0.639554i | \(0.779119\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.85915 | + | 1.04064i | −0.436016 | + | 0.158697i | −0.550696 | − | 0.834706i | \(-0.685638\pi\) |
0.114681 | + | 0.993402i | \(0.463416\pi\) | |||||||
\(44\) | 1.45325 | − | 1.01782i | 0.219086 | − | 0.153442i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.23540 | − | 3.76600i | −1.06680 | − | 0.555267i | ||||
\(47\) | 1.90179 | − | 10.7856i | 0.277404 | − | 1.57324i | −0.453814 | − | 0.891096i | \(-0.649937\pi\) |
0.731219 | − | 0.682143i | \(-0.238952\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 13.8009 | + | 5.02311i | 1.97155 | + | 0.717587i | ||||
\(50\) | −7.25682 | + | 1.60922i | −1.02627 | + | 0.227578i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.17793 | − | 3.11115i | 0.302025 | − | 0.431438i | ||||
\(53\) | −1.27415 | −0.175018 | −0.0875092 | − | 0.996164i | \(-0.527891\pi\) | ||||
−0.0875092 | + | 0.996164i | \(0.527891\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 2.84099i | − | 0.383078i | ||||||
\(56\) | −11.1100 | − | 7.07528i | −1.48464 | − | 0.945474i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −7.51460 | + | 1.66638i | −0.986715 | + | 0.218807i | ||||
\(59\) | −2.43399 | + | 6.68734i | −0.316879 | + | 0.870618i | 0.674344 | + | 0.738417i | \(0.264427\pi\) |
−0.991223 | + | 0.132201i | \(0.957796\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.19039 | + | 1.44419i | 1.04867 | + | 0.184909i | 0.671326 | − | 0.741163i | \(-0.265725\pi\) |
0.377347 | + | 0.926072i | \(0.376836\pi\) | |||||||
\(62\) | −5.17691 | + | 9.94610i | −0.657468 | + | 1.26316i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.65874 | + | 5.65497i | 0.707343 | + | 0.706871i | ||||
\(65\) | −2.07985 | − | 5.71435i | −0.257974 | − | 0.708778i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.31205 | + | 5.29644i | −0.771139 | + | 0.647063i | −0.941000 | − | 0.338405i | \(-0.890113\pi\) |
0.169861 | + | 0.985468i | \(0.445668\pi\) | |||||||
\(68\) | −6.58572 | − | 6.58426i | −0.798636 | − | 0.798459i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −19.4852 | + | 8.07230i | −2.32893 | + | 0.964825i | ||||
\(71\) | 0.186788 | + | 0.323526i | 0.0221676 | + | 0.0383955i | 0.876896 | − | 0.480679i | \(-0.159610\pi\) |
−0.854729 | + | 0.519075i | \(0.826277\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.29550 | − | 10.9041i | 0.736832 | − | 1.27623i | −0.217083 | − | 0.976153i | \(-0.569654\pi\) |
0.953915 | − | 0.300077i | \(-0.0970125\pi\) | |||||||
\(74\) | 0.493895 | − | 3.75312i | 0.0574141 | − | 0.436291i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.662065 | + | 0.177321i | 0.0759441 | + | 0.0203401i | ||||
\(77\) | −0.717374 | − | 4.06843i | −0.0817524 | − | 0.463641i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.54509 | + | 3.03312i | −0.286345 | + | 0.341252i | −0.889973 | − | 0.456014i | \(-0.849277\pi\) |
0.603628 | + | 0.797266i | \(0.293721\pi\) | |||||||
\(80\) | 12.6149 | − | 2.22724i | 1.41039 | − | 0.249013i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.0762384 | − | 0.00333288i | 0.00841912 | − | 0.000368055i | ||||
\(83\) | −8.90996 | + | 10.6185i | −0.977996 | + | 1.16553i | 0.00820363 | + | 0.999966i | \(0.497389\pi\) |
−0.986199 | + | 0.165563i | \(0.947056\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −14.6852 | + | 2.58940i | −1.59284 | + | 0.280860i | ||||
\(86\) | 1.29369 | − | 4.10386i | 0.139502 | − | 0.442531i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.109029 | + | 2.50677i | −0.0116226 | + | 0.267223i | ||||
\(89\) | 6.35012 | + | 3.66624i | 0.673111 | + | 0.388621i | 0.797254 | − | 0.603644i | \(-0.206285\pi\) |
−0.124143 | + | 0.992264i | \(0.539618\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.42138 | − | 7.65805i | −0.463487 | − | 0.802782i | ||||
\(92\) | 10.4542 | − | 4.87627i | 1.08992 | − | 0.508387i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 10.4645 | + | 11.4187i | 1.07933 | + | 1.17775i | ||||
\(95\) | 0.840731 | − | 0.705457i | 0.0862572 | − | 0.0723783i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.833364 | + | 0.303320i | −0.0846153 | + | 0.0307975i | −0.383981 | − | 0.923341i | \(-0.625447\pi\) |
0.299366 | + | 0.954138i | \(0.403225\pi\) | |||||||
\(98\) | −17.5166 | + | 11.1607i | −1.76944 | + | 1.12740i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.44150 | − | 9.52759i | 0.444150 | − | 0.952759i | ||||
\(101\) | −1.09507 | + | 6.21046i | −0.108964 | + | 0.617964i | 0.880599 | + | 0.473862i | \(0.157140\pi\) |
−0.989563 | + | 0.144102i | \(0.953971\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.99018 | + | 8.21544i | −0.294631 | + | 0.809492i | 0.700743 | + | 0.713414i | \(0.252852\pi\) |
−0.995374 | + | 0.0960778i | \(0.969370\pi\) | |||||||
\(104\) | 1.61588 | + | 5.12193i | 0.158450 | + | 0.502247i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.09686 | − | 1.42962i | 0.106537 | − | 0.138857i | ||||
\(107\) | 3.23101i | 0.312354i | 0.987729 | + | 0.156177i | \(0.0499170\pi\) | ||||
−0.987729 | + | 0.156177i | \(0.950083\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 10.8688i | − | 1.04104i | −0.853849 | − | 0.520521i | \(-0.825738\pi\) | ||
0.853849 | − | 0.520521i | \(-0.174262\pi\) | |||||||
\(110\) | 3.18764 | + | 2.44568i | 0.303929 | + | 0.233186i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 17.5027 | − | 6.37489i | 1.65385 | − | 0.602370i | ||||
\(113\) | −3.71933 | + | 10.2188i | −0.349885 | + | 0.961301i | 0.632521 | + | 0.774543i | \(0.282020\pi\) |
−0.982406 | + | 0.186758i | \(0.940202\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.20749 | − | 18.1906i | 0.299100 | − | 1.69628i | ||||
\(116\) | 4.59927 | − | 9.86604i | 0.427032 | − | 0.916038i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −5.40801 | − | 8.48783i | −0.497847 | − | 0.781368i | ||||
\(119\) | −20.3761 | + | 7.41630i | −1.86788 | + | 0.679851i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.82363 | − | 6.56481i | 0.711239 | − | 0.596801i | ||||
\(122\) | −8.67116 | + | 7.94654i | −0.785050 | + | 0.719446i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.70314 | − | 14.3708i | −0.601960 | − | 1.29053i | ||||
\(125\) | −0.409913 | − | 0.709991i | −0.0366638 | − | 0.0635035i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.2372 | + | 7.06513i | 1.08587 | + | 0.626929i | 0.932475 | − | 0.361235i | \(-0.117645\pi\) |
0.153399 | + | 0.988164i | \(0.450978\pi\) | |||||||
\(128\) | −11.2163 | + | 1.48110i | −0.991394 | + | 0.130912i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 8.20207 | + | 2.58560i | 0.719369 | + | 0.226772i | ||||
\(131\) | 3.55599 | − | 0.627016i | 0.310688 | − | 0.0547827i | −0.0161302 | − | 0.999870i | \(-0.505135\pi\) |
0.326818 | + | 0.945087i | \(0.394024\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.02583 | − | 1.22254i | 0.0889511 | − | 0.106008i | ||||
\(134\) | −0.508936 | − | 11.6417i | −0.0439654 | − | 1.00569i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 13.0570 | − | 1.72120i | 1.11963 | − | 0.147592i | ||||
\(137\) | 8.46244 | − | 10.0851i | 0.722995 | − | 0.861632i | −0.271923 | − | 0.962319i | \(-0.587660\pi\) |
0.994918 | + | 0.100687i | \(0.0321041\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.08259 | + | 11.8109i | 0.176643 | + | 1.00179i | 0.936230 | + | 0.351387i | \(0.114290\pi\) |
−0.759588 | + | 0.650405i | \(0.774599\pi\) | |||||||
\(140\) | 7.71668 | − | 28.8119i | 0.652179 | − | 2.43505i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.523800 | − | 0.0689300i | −0.0439563 | − | 0.00578447i | ||||
\(143\) | −0.842252 | + | 1.45882i | −0.0704327 | + | 0.121993i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.71512 | − | 15.0950i | −0.723751 | − | 1.25357i | ||||
\(146\) | 6.81511 | + | 16.4505i | 0.564022 | + | 1.36146i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.78590 | + | 3.78505i | 0.311199 | + | 0.311129i | ||||
\(149\) | 6.78333 | − | 5.69189i | 0.555712 | − | 0.466298i | −0.321158 | − | 0.947026i | \(-0.604072\pi\) |
0.876870 | + | 0.480728i | \(0.159628\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.00187 | − | 2.75261i | −0.0815308 | − | 0.224004i | 0.892229 | − | 0.451584i | \(-0.149141\pi\) |
−0.973759 | + | 0.227580i | \(0.926919\pi\) | |||||||
\(152\) | −0.768900 | + | 0.590202i | −0.0623661 | + | 0.0478717i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.18241 | + | 2.69743i | 0.417611 | + | 0.217365i | ||||
\(155\) | −25.0056 | − | 4.40916i | −2.00850 | − | 0.354152i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.73399 | − | 10.2591i | 0.298005 | − | 0.818762i | −0.696828 | − | 0.717238i | \(-0.745406\pi\) |
0.994833 | − | 0.101524i | \(-0.0323717\pi\) | |||||||
\(158\) | −1.21226 | − | 5.46671i | −0.0964422 | − | 0.434908i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −8.36060 | + | 16.0715i | −0.660964 | + | 1.27056i | ||||
\(161\) | − | 26.8597i | − | 2.11684i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.983434 | −0.0770285 | −0.0385143 | − | 0.999258i | \(-0.512263\pi\) | ||||
−0.0385143 | + | 0.999258i | \(0.512263\pi\) | |||||||
\(164\) | −0.0618907 | + | 0.0884100i | −0.00483285 | + | 0.00690366i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.24394 | − | 19.1381i | −0.329393 | − | 1.48541i | ||||
\(167\) | 1.50427 | + | 0.547510i | 0.116404 | + | 0.0423676i | 0.399565 | − | 0.916705i | \(-0.369161\pi\) |
−0.283161 | + | 0.959072i | \(0.591383\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.63131 | − | 9.25162i | 0.125485 | − | 0.711663i | ||||
\(170\) | 9.73651 | − | 18.7062i | 0.746756 | − | 1.43470i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.49093 | + | 4.98438i | 0.266181 | + | 0.380056i | ||||
\(173\) | 13.3229 | − | 4.84914i | 1.01292 | − | 0.368673i | 0.218367 | − | 0.975867i | \(-0.429927\pi\) |
0.794554 | + | 0.607193i | \(0.207705\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −15.7332 | − | 18.7501i | −1.18932 | − | 1.41738i | ||||
\(176\) | −2.71879 | − | 2.28030i | −0.204936 | − | 0.171884i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.58013 | + | 3.96884i | −0.718061 | + | 0.297477i | ||||
\(179\) | 5.27151 | − | 3.04351i | 0.394011 | − | 0.227483i | −0.289885 | − | 0.957061i | \(-0.593617\pi\) |
0.683897 | + | 0.729579i | \(0.260284\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 11.4059 | + | 6.58520i | 0.847795 | + | 0.489474i | 0.859906 | − | 0.510452i | \(-0.170522\pi\) |
−0.0121116 | + | 0.999927i | \(0.503855\pi\) | |||||||
\(182\) | 12.3987 | + | 1.63161i | 0.919049 | + | 0.120943i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.52827 | + | 15.9275i | −0.260107 | + | 1.17419i | ||||
\(185\) | 8.44201 | − | 1.48855i | 0.620669 | − | 0.109441i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.16427 | + | 2.65514i | 0.231395 | + | 0.194163i | ||||
\(188\) | −21.8204 | + | 1.91148i | −1.59141 | + | 0.139409i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.0677875 | + | 1.55061i | 0.00491783 | + | 0.112493i | ||||
\(191\) | 16.3786 | + | 13.7433i | 1.18512 | + | 0.994431i | 0.999931 | + | 0.0117270i | \(0.00373289\pi\) |
0.185185 | + | 0.982704i | \(0.440712\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.64547 | + | 20.6745i | 0.262407 | + | 1.48818i | 0.776319 | + | 0.630341i | \(0.217085\pi\) |
−0.513912 | + | 0.857843i | \(0.671804\pi\) | |||||||
\(194\) | 0.377076 | − | 1.19616i | 0.0270725 | − | 0.0858796i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.55679 | − | 29.2617i | 0.182628 | − | 2.09012i | ||||
\(197\) | −5.23281 | + | 9.06349i | −0.372822 | + | 0.645747i | −0.989999 | − | 0.141078i | \(-0.954943\pi\) |
0.617176 | + | 0.786825i | \(0.288277\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −14.3685 | + | 8.29565i | −1.01855 | + | 0.588063i | −0.913685 | − | 0.406423i | \(-0.866776\pi\) |
−0.104870 | + | 0.994486i | \(0.533443\pi\) | |||||||
\(200\) | 6.86665 | + | 13.1853i | 0.485545 | + | 0.932344i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.02556 | − | 6.57501i | −0.423957 | − | 0.462616i | ||||
\(203\) | −16.2921 | − | 19.4162i | −1.14348 | − | 1.36275i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.0591036 | + | 0.162386i | 0.00412797 | + | 0.0113415i | ||||
\(206\) | −6.64377 | − | 10.4273i | −0.462893 | − | 0.726508i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.13794 | − | 2.59620i | −0.494927 | − | 0.180014i | ||||
\(209\) | −0.299396 | − | 0.0527915i | −0.0207096 | − | 0.00365167i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.76523 | − | 3.19028i | −0.603423 | − | 0.219628i | 0.0222000 | − | 0.999754i | \(-0.492933\pi\) |
−0.625623 | + | 0.780126i | \(0.715155\pi\) | |||||||
\(212\) | 0.659824 | + | 2.46140i | 0.0453169 | + | 0.169050i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.62526 | − | 2.78144i | −0.247817 | − | 0.190135i | ||||
\(215\) | 9.74405 | 0.664539 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −36.9226 | −2.50647 | ||||||||
\(218\) | 12.1950 | + | 9.35647i | 0.825949 | + | 0.633700i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.48820 | + | 1.47121i | −0.370014 | + | 0.0991891i | ||||
\(221\) | 8.30841 | + | 3.02402i | 0.558884 | + | 0.203417i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 18.4672 | + | 3.25626i | 1.23665 | + | 0.218055i | 0.753481 | − | 0.657470i | \(-0.228373\pi\) |
0.483172 | + | 0.875525i | \(0.339485\pi\) | |||||||
\(224\) | −7.91461 | + | 25.1263i | −0.528817 | + | 1.67882i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −8.26384 | − | 12.9700i | −0.549703 | − | 0.862755i | ||||
\(227\) | −1.73323 | − | 4.76200i | −0.115038 | − | 0.316065i | 0.868790 | − | 0.495181i | \(-0.164898\pi\) |
−0.983828 | + | 0.179116i | \(0.942676\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.4905 | + | 17.2691i | 0.957559 | + | 1.14117i | 0.989910 | + | 0.141698i | \(0.0452562\pi\) |
−0.0323508 | + | 0.999477i | \(0.510299\pi\) | |||||||
\(230\) | 17.6490 | + | 19.2583i | 1.16374 | + | 1.26986i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 7.11056 | + | 13.6537i | 0.466831 | + | 0.896410i | ||||
\(233\) | −4.93700 | + | 2.85038i | −0.323434 | + | 0.186735i | −0.652922 | − | 0.757425i | \(-0.726457\pi\) |
0.329488 | + | 0.944160i | \(0.393124\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −17.5368 | + | 30.3747i | −1.14398 | + | 1.98143i | ||||
\(236\) | 14.1790 | + | 1.23892i | 0.922976 | + | 0.0806466i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 9.21968 | − | 29.2468i | 0.597623 | − | 1.89579i | ||||
\(239\) | −3.99952 | − | 22.6824i | −0.258707 | − | 1.46720i | −0.786374 | − | 0.617750i | \(-0.788044\pi\) |
0.527667 | − | 0.849451i | \(-0.323067\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 16.6164 | + | 13.9428i | 1.07036 | + | 0.898137i | 0.995085 | − | 0.0990259i | \(-0.0315727\pi\) |
0.0752732 | + | 0.997163i | \(0.476017\pi\) | |||||||
\(242\) | 0.630814 | + | 14.4296i | 0.0405503 | + | 0.927571i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.45155 | − | 16.5700i | −0.0929257 | − | 1.06079i | ||||
\(245\) | −36.0300 | − | 30.2327i | −2.30187 | − | 1.93150i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.640852 | + | 0.112999i | −0.0407764 | + | 0.00718999i | ||||
\(248\) | 21.8947 | + | 4.85011i | 1.39031 | + | 0.307982i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.14950 | + | 0.151269i | 0.0727007 | + | 0.00956712i | ||||
\(251\) | 6.86745 | + | 3.96493i | 0.433470 | + | 0.250264i | 0.700824 | − | 0.713334i | \(-0.252816\pi\) |
−0.267354 | + | 0.963598i | \(0.586149\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.43115 | + | 2.55833i | −0.278584 | + | 0.160841i | ||||
\(254\) | −18.4617 | + | 7.64827i | −1.15839 | + | 0.479895i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 7.99384 | − | 13.8600i | 0.499615 | − | 0.866248i | ||||
\(257\) | −0.0798480 | − | 0.0951592i | −0.00498078 | − | 0.00593587i | 0.763548 | − | 0.645751i | \(-0.223455\pi\) |
−0.768529 | + | 0.639815i | \(0.779011\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 11.7135 | − | 4.26337i | 0.727842 | − | 0.264913i | ||||
\(260\) | −9.96189 | + | 6.97704i | −0.617810 | + | 0.432698i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.35767 | + | 4.52965i | −0.145657 | + | 0.279843i | ||||
\(263\) | 0.961362 | − | 5.45215i | 0.0592801 | − | 0.336194i | −0.940715 | − | 0.339197i | \(-0.889845\pi\) |
0.999995 | + | 0.00300271i | \(0.000955794\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.83439 | + | 1.39560i | 0.235545 | + | 0.0857313i | ||||
\(266\) | 0.488619 | + | 2.20344i | 0.0299591 | + | 0.135101i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 13.5003 | + | 9.45080i | 0.824664 | + | 0.577300i | ||||
\(269\) | 5.59805 | 0.341319 | 0.170659 | − | 0.985330i | \(-0.445410\pi\) | ||||
0.170659 | + | 0.985330i | \(0.445410\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 1.56554i | − | 0.0951000i | −0.998869 | − | 0.0475500i | \(-0.984859\pi\) | ||
0.998869 | − | 0.0475500i | \(-0.0151413\pi\) | |||||||
\(272\) | −9.30900 | + | 16.1319i | −0.564441 | + | 0.978142i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.03078 | + | 18.1769i | 0.243508 | + | 1.09811i | ||||
\(275\) | −1.59473 | + | 4.38148i | −0.0961657 | + | 0.264213i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −27.6100 | − | 4.86839i | −1.65893 | − | 0.292513i | −0.735854 | − | 0.677140i | \(-0.763219\pi\) |
−0.923072 | + | 0.384627i | \(0.874330\pi\) | |||||||
\(278\) | −15.0449 | − | 7.83083i | −0.902334 | − | 0.469662i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 25.6845 | + | 33.4611i | 1.53494 | + | 1.99968i | ||||
\(281\) | −3.07719 | − | 8.45452i | −0.183570 | − | 0.504354i | 0.813438 | − | 0.581651i | \(-0.197593\pi\) |
−0.997008 | + | 0.0772972i | \(0.975371\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −22.1256 | + | 18.5656i | −1.31523 | + | 1.10361i | −0.327936 | + | 0.944700i | \(0.606353\pi\) |
−0.987293 | + | 0.158909i | \(0.949202\pi\) | |||||||
\(284\) | 0.528257 | − | 0.528375i | 0.0313463 | − | 0.0313533i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.911770 | − | 2.20086i | −0.0539141 | − | 0.130140i | ||||
\(287\) | 0.125643 | + | 0.217620i | 0.00741648 | + | 0.0128457i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.34052 | − | 4.05391i | 0.137678 | − | 0.238465i | ||||
\(290\) | 24.4394 | + | 3.21612i | 1.43513 | + | 0.188857i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −24.3247 | − | 6.51487i | −1.42349 | − | 0.381254i | ||||
\(293\) | 3.10437 | + | 17.6058i | 0.181359 | + | 1.02854i | 0.930545 | + | 0.366179i | \(0.119334\pi\) |
−0.749185 | + | 0.662360i | \(0.769555\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 14.6495 | − | 17.4587i | 0.852930 | − | 1.01648i | ||||
\(296\) | −7.50601 | + | 0.989458i | −0.436278 | + | 0.0575111i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.546935 | + | 12.5109i | 0.0316831 | + | 0.724738i | ||||
\(299\) | −7.03989 | + | 8.38981i | −0.407127 | + | 0.485196i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 13.9540 | − | 2.46046i | 0.804293 | − | 0.141819i | ||||
\(302\) | 3.95094 | + | 1.24549i | 0.227351 | + | 0.0716697i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.000304701 | − | 1.37080i | −1.74758e−5 | − | 0.0786208i | ||||
\(305\) | −23.0660 | − | 13.3172i | −1.32076 | − | 0.762540i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.66885 | + | 4.62258i | 0.152319 | + | 0.263825i | 0.932080 | − | 0.362253i | \(-0.117992\pi\) |
−0.779760 | + | 0.626078i | \(0.784659\pi\) | |||||||
\(308\) | −7.48788 | + | 3.49267i | −0.426662 | + | 0.199013i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 26.4734 | − | 24.2611i | 1.50359 | − | 1.37794i | ||||
\(311\) | −7.48203 | + | 6.27817i | −0.424267 | + | 0.356002i | −0.829783 | − | 0.558086i | \(-0.811536\pi\) |
0.405517 | + | 0.914088i | \(0.367092\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −20.9377 | + | 7.62069i | −1.18347 | + | 0.430747i | −0.857425 | − | 0.514608i | \(-0.827937\pi\) |
−0.326042 | + | 0.945355i | \(0.605715\pi\) | |||||||
\(314\) | 8.29642 | + | 13.0212i | 0.468194 | + | 0.734828i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.17733 | + | 3.34587i | 0.403757 | + | 0.188220i | ||||
\(317\) | −2.75422 | + | 15.6200i | −0.154692 | + | 0.877304i | 0.804374 | + | 0.594123i | \(0.202501\pi\) |
−0.959067 | + | 0.283181i | \(0.908610\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.65138 | + | 4.53712i | −0.0924593 | + | 0.254030i | ||||
\(320\) | −10.8352 | − | 23.2160i | −0.605707 | − | 1.29781i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 30.1371 | + | 23.1224i | 1.67948 | + | 1.28856i | ||||
\(323\) | 1.59571i | 0.0887877i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.98038i | 0.553612i | ||||||||
\(326\) | 0.846596 | − | 1.10343i | 0.0468886 | − | 0.0611134i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.0459187 | − | 0.145551i | −0.00253544 | − | 0.00803670i | ||||
\(329\) | −17.4437 | + | 47.9263i | −0.961704 | + | 2.64226i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.91331 | − | 27.8648i | 0.270060 | − | 1.53159i | −0.484169 | − | 0.874974i | \(-0.660878\pi\) |
0.754229 | − | 0.656611i | \(-0.228011\pi\) | |||||||
\(332\) | 25.1268 | + | 11.7134i | 1.37901 | + | 0.642857i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.90928 | + | 1.21649i | −0.104471 | + | 0.0665636i | ||||
\(335\) | 24.7965 | − | 9.02520i | 1.35478 | − | 0.493099i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.65131 | + | 2.22472i | −0.144426 | + | 0.121188i | −0.712138 | − | 0.702039i | \(-0.752273\pi\) |
0.567712 | + | 0.823227i | \(0.307829\pi\) | |||||||
\(338\) | 8.97617 | + | 9.79468i | 0.488239 | + | 0.532760i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 12.6070 | + | 27.0279i | 0.683709 | + | 1.46579i | ||||
\(341\) | 3.51679 | + | 6.09126i | 0.190445 | + | 0.329860i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −30.9999 | − | 17.8978i | −1.67383 | − | 0.966389i | ||||
\(344\) | −8.59776 | − | 0.373950i | −0.463560 | − | 0.0201620i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.02828 | + | 19.1230i | −0.324082 | + | 1.02806i | ||||
\(347\) | 21.3082 | − | 3.75721i | 1.14388 | − | 0.201698i | 0.430581 | − | 0.902552i | \(-0.358309\pi\) |
0.713304 | + | 0.700854i | \(0.247198\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −13.6098 | + | 16.2195i | −0.728514 | + | 0.868209i | −0.995428 | − | 0.0955113i | \(-0.969551\pi\) |
0.266915 | + | 0.963720i | \(0.413996\pi\) | |||||||
\(350\) | 34.5821 | − | 1.51181i | 1.84849 | − | 0.0808097i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.89903 | − | 1.08752i | 0.261119 | − | 0.0579648i | ||||
\(353\) | 10.0326 | − | 11.9564i | 0.533980 | − | 0.636373i | −0.429847 | − | 0.902902i | \(-0.641432\pi\) |
0.963827 | + | 0.266529i | \(0.0858768\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.207748 | − | 1.17820i | −0.0110261 | − | 0.0625324i | ||||
\(356\) | 3.79400 | − | 14.1657i | 0.201081 | − | 0.750780i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.12314 | + | 8.53476i | −0.0593598 | + | 0.451076i | ||||
\(359\) | 2.44114 | − | 4.22817i | 0.128838 | − | 0.223154i | −0.794389 | − | 0.607410i | \(-0.792209\pi\) |
0.923227 | + | 0.384256i | \(0.125542\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.44128 | + | 16.3528i | 0.496909 | + | 0.860672i | ||||
\(362\) | −17.2076 | + | 7.12873i | −0.904410 | + | 0.374678i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −12.5042 | + | 12.5069i | −0.655396 | + | 0.655542i | ||||
\(365\) | −30.8889 | + | 25.9189i | −1.61680 | + | 1.35666i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.44230 | + | 9.45764i | 0.179687 | + | 0.493685i | 0.996536 | − | 0.0831666i | \(-0.0265033\pi\) |
−0.816849 | + | 0.576852i | \(0.804281\pi\) | |||||||
\(368\) | −14.8337 | − | 17.6701i | −0.773259 | − | 0.921118i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.59717 | + | 10.7535i | −0.290983 | + | 0.559049i | ||||
\(371\) | 5.84344 | + | 1.03036i | 0.303376 | + | 0.0534935i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.511543 | − | 1.40545i | 0.0264867 | − | 0.0727717i | −0.925745 | − | 0.378149i | \(-0.876561\pi\) |
0.952231 | + | 0.305378i | \(0.0987828\pi\) | |||||||
\(374\) | −5.70310 | + | 1.26468i | −0.294901 | + | 0.0653951i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 16.6395 | − | 26.1284i | 0.858116 | − | 1.34747i | ||||
\(377\) | 10.3349i | 0.532275i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 26.4034 | 1.35625 | 0.678126 | − | 0.734945i | \(-0.262792\pi\) | ||||
0.678126 | + | 0.734945i | \(0.262792\pi\) | |||||||
\(380\) | −1.79817 | − | 1.25880i | −0.0922443 | − | 0.0645749i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −29.5199 | + | 6.54612i | −1.51037 | + | 0.334929i | ||||
\(383\) | −14.7665 | − | 5.37456i | −0.754532 | − | 0.274627i | −0.0640204 | − | 0.997949i | \(-0.520392\pi\) |
−0.690511 | + | 0.723321i | \(0.742614\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.29739 | + | 13.0291i | −0.117086 | + | 0.664027i | ||||
\(386\) | −26.3354 | − | 13.7075i | −1.34044 | − | 0.697693i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.01751 | + | 1.45281i | 0.0516563 | + | 0.0737554i | ||||
\(389\) | 19.0208 | − | 6.92300i | 0.964393 | − | 0.351010i | 0.188639 | − | 0.982046i | \(-0.439592\pi\) |
0.775753 | + | 0.631036i | \(0.217370\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 17.2629 | + | 20.5731i | 0.873023 | + | 1.04043i | ||||
\(392\) | 30.6311 | + | 28.0589i | 1.54711 | + | 1.41719i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −5.66471 | − | 13.6737i | −0.285384 | − | 0.688870i | ||||
\(395\) | 10.9813 | − | 6.34007i | 0.552530 | − | 0.319003i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −23.8679 | − | 13.7801i | −1.19789 | − | 0.691604i | −0.237808 | − | 0.971312i | \(-0.576429\pi\) |
−0.960085 | + | 0.279708i | \(0.909762\pi\) | |||||||
\(398\) | 3.06133 | − | 23.2631i | 0.153450 | − | 1.16607i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −20.7054 | − | 3.64617i | −1.03527 | − | 0.182309i | ||||
\(401\) | 6.68368 | − | 1.17851i | 0.333767 | − | 0.0588521i | −0.00425323 | − | 0.999991i | \(-0.501354\pi\) |
0.338020 | + | 0.941139i | \(0.390243\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 11.5330 | + | 9.67734i | 0.574500 | + | 0.482063i | ||||
\(404\) | 12.5644 | − | 1.10065i | 0.625103 | − | 0.0547595i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 35.8105 | − | 1.56551i | 1.77725 | − | 0.0776952i | ||||
\(407\) | −1.81903 | − | 1.52635i | −0.0901659 | − | 0.0756581i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.97274 | − | 16.8592i | −0.146992 | − | 0.833636i | −0.965746 | − | 0.259490i | \(-0.916445\pi\) |
0.818753 | − | 0.574145i | \(-0.194666\pi\) | |||||||
\(410\) | −0.233080 | − | 0.0734755i | −0.0115110 | − | 0.00362869i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 17.4190 | + | 1.52202i | 0.858173 | + | 0.0749843i | ||||
\(413\) | 16.5704 | − | 28.7008i | 0.815377 | − | 1.41227i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 38.4439 | − | 22.1956i | 1.88714 | − | 1.08954i | ||||
\(416\) | 9.05773 | − | 5.77395i | 0.444092 | − | 0.283091i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.316970 | − | 0.290482i | 0.0155035 | − | 0.0142079i | ||||
\(419\) | −0.999049 | − | 1.19062i | −0.0488067 | − | 0.0581656i | 0.741089 | − | 0.671407i | \(-0.234310\pi\) |
−0.789896 | + | 0.613241i | \(0.789865\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.61578 | − | 12.6818i | −0.224959 | − | 0.618071i | 0.774943 | − | 0.632031i | \(-0.217778\pi\) |
−0.999903 | + | 0.0139601i | \(0.995556\pi\) | |||||||
\(422\) | 11.1252 | − | 7.08837i | 0.541564 | − | 0.345057i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.32975 | − | 1.37858i | −0.161707 | − | 0.0669497i | ||||
\(425\) | 24.1016 | + | 4.24977i | 1.16910 | + | 0.206144i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −36.3944 | − | 13.2465i | −1.76125 | − | 0.641042i | ||||
\(428\) | 6.24165 | − | 1.67319i | 0.301702 | − | 0.0808766i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.38823 | + | 10.9330i | −0.404516 | + | 0.527237i | ||||
\(431\) | −32.6219 | −1.57134 | −0.785671 | − | 0.618644i | \(-0.787682\pi\) | ||||
−0.785671 | + | 0.618644i | \(0.787682\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −20.4173 | −0.981192 | −0.490596 | − | 0.871387i | \(-0.663221\pi\) | ||||
−0.490596 | + | 0.871387i | \(0.663221\pi\) | |||||||
\(434\) | 31.7850 | − | 41.4278i | 1.52573 | − | 1.98860i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −20.9963 | + | 5.62843i | −1.00554 | + | 0.269553i | ||||
\(437\) | −1.85740 | − | 0.676039i | −0.0888516 | − | 0.0323393i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.01912 | − | 0.885007i | −0.239550 | − | 0.0422391i | 0.0525843 | − | 0.998616i | \(-0.483254\pi\) |
−0.292134 | + | 0.956377i | \(0.594365\pi\) | |||||||
\(440\) | 3.07382 | − | 7.42436i | 0.146539 | − | 0.353943i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.5454 | + | 6.71896i | −0.501591 | + | 0.319588i | ||||
\(443\) | −6.33577 | − | 17.4074i | −0.301022 | − | 0.827050i | −0.994323 | − | 0.106403i | \(-0.966067\pi\) |
0.693301 | − | 0.720648i | \(-0.256155\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −15.0941 | − | 17.9885i | −0.715529 | − | 0.852735i | ||||
\(446\) | −19.5512 | + | 17.9173i | −0.925774 | + | 0.848410i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −21.3788 | − | 30.5105i | −1.01005 | − | 1.44148i | ||||
\(449\) | −16.4019 | + | 9.46962i | −0.774052 | + | 0.446899i | −0.834318 | − | 0.551283i | \(-0.814138\pi\) |
0.0602665 | + | 0.998182i | \(0.480805\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.0239344 | − | 0.0414557i | 0.00112703 | − | 0.00195207i | ||||
\(452\) | 21.6666 | + | 1.89316i | 1.01911 | + | 0.0890466i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.83512 | + | 2.15469i | 0.320788 | + | 0.101124i | ||||
\(455\) | 4.91753 | + | 27.8887i | 0.230537 | + | 1.30744i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.02025 | − | 6.72979i | −0.375172 | − | 0.314806i | 0.435632 | − | 0.900125i | \(-0.356525\pi\) |
−0.810803 | + | 0.585319i | \(0.800969\pi\) | |||||||
\(458\) | −31.8505 | + | 1.39240i | −1.48828 | + | 0.0650624i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −36.8015 | + | 3.22383i | −1.71588 | + | 0.150312i | ||||
\(461\) | 18.6832 | + | 15.6771i | 0.870163 | + | 0.730153i | 0.964132 | − | 0.265422i | \(-0.0855113\pi\) |
−0.0939698 | + | 0.995575i | \(0.529956\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −15.5149 | + | 2.73570i | −0.721039 | + | 0.127139i | −0.522113 | − | 0.852876i | \(-0.674856\pi\) |
−0.198925 | + | 0.980015i | \(0.563745\pi\) | |||||||
\(464\) | −21.4409 | − | 3.77569i | −0.995369 | − | 0.175282i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.05187 | − | 7.99318i | 0.0487269 | − | 0.370277i | ||||
\(467\) | 6.64718 | + | 3.83775i | 0.307595 | + | 0.177590i | 0.645850 | − | 0.763465i | \(-0.276503\pi\) |
−0.338255 | + | 0.941055i | \(0.609837\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 33.2309 | − | 19.1859i | 1.53446 | − | 0.885922i | ||||
\(470\) | −18.9843 | − | 45.8249i | −0.875679 | − | 2.11374i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −13.5962 | + | 14.8426i | −0.625815 | + | 0.683186i | ||||
\(473\) | −1.73499 | − | 2.06769i | −0.0797751 | − | 0.0950723i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.69260 | + | 0.616057i | −0.0776619 | + | 0.0282666i | ||||
\(476\) | 24.8786 | + | 35.5219i | 1.14031 | + | 1.62814i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 28.8931 | + | 15.0387i | 1.32154 | + | 0.687856i | ||||
\(479\) | −5.41592 | + | 30.7152i | −0.247460 | + | 1.40341i | 0.567250 | + | 0.823545i | \(0.308007\pi\) |
−0.814710 | + | 0.579869i | \(0.803104\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.77621 | − | 1.73840i | −0.217776 | − | 0.0792641i | ||||
\(482\) | −29.9485 | + | 6.64116i | −1.36412 | + | 0.302497i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −16.7333 | − | 11.7140i | −0.760607 | − | 0.532457i | ||||
\(485\) | 2.84013 | 0.128964 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 14.2176i | 0.644263i | 0.946695 | + | 0.322131i | \(0.104399\pi\) | ||||
−0.946695 | + | 0.322131i | \(0.895601\pi\) | |||||||
\(488\) | 19.8415 | + | 12.6358i | 0.898181 | + | 0.571994i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 64.9383 | − | 14.4003i | 2.93361 | − | 0.650537i | ||||
\(491\) | −0.483056 | + | 1.32718i | −0.0218000 | + | 0.0598950i | −0.950115 | − | 0.311899i | \(-0.899035\pi\) |
0.928315 | + | 0.371794i | \(0.121257\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 24.9578 | + | 4.40073i | 1.12404 | + | 0.198199i | ||||
\(494\) | 0.424894 | − | 0.816324i | 0.0191169 | − | 0.0367282i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −24.2901 | + | 20.3910i | −1.09066 | + | 0.915584i | ||||
\(497\) | −0.595012 | − | 1.63478i | −0.0266899 | − | 0.0733300i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 22.9472 | − | 19.2550i | 1.02726 | − | 0.861971i | 0.0367345 | − | 0.999325i | \(-0.488304\pi\) |
0.990522 | + | 0.137355i | \(0.0438600\pi\) | |||||||
\(500\) | −1.15928 | + | 1.15954i | −0.0518446 | + | 0.0518561i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.3606 | + | 4.29218i | −0.462417 | + | 0.191569i | ||||
\(503\) | −4.40212 | − | 7.62469i | −0.196281 | − | 0.339968i | 0.751039 | − | 0.660258i | \(-0.229553\pi\) |
−0.947320 | + | 0.320290i | \(0.896220\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.0979 | − | 17.4901i | 0.449351 | − | 0.778299i | ||||
\(506\) | 0.944095 | − | 7.17419i | 0.0419701 | − | 0.318932i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7.31133 | − | 27.2984i | 0.324388 | − | 1.21117i | ||||
\(509\) | −3.62638 | − | 20.5662i | −0.160737 | − | 0.911582i | −0.953352 | − | 0.301860i | \(-0.902392\pi\) |
0.792616 | − | 0.609722i | \(-0.208719\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −37.6897 | + | 44.9169i | −1.66730 | + | 1.98701i | ||||
\(512\) | 8.66959 | + | 20.9007i | 0.383145 | + | 0.923688i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.175508 | − | 0.00767262i | 0.00774133 | − | 0.000338425i | ||||
\(515\) | 17.9971 | − | 21.4481i | 0.793045 | − | 0.945114i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.56806 | − | 1.68711i | 0.420803 | − | 0.0741988i | ||||
\(518\) | −5.30006 | + | 16.8129i | −0.232871 | + | 0.738717i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.747385 | − | 17.1837i | 0.0327750 | − | 0.753553i | ||||
\(521\) | −18.8404 | − | 10.8775i | −0.825413 | − | 0.476552i | 0.0268665 | − | 0.999639i | \(-0.491447\pi\) |
−0.852280 | + | 0.523087i | \(0.824780\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.21522 | + | 3.83687i | 0.0968647 | + | 0.167775i | 0.910385 | − | 0.413761i | \(-0.135785\pi\) |
−0.813521 | + | 0.581536i | \(0.802452\pi\) | |||||||
\(524\) | −3.05274 | − | 6.54473i | −0.133360 | − | 0.285908i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.28983 | + | 5.77219i | 0.230647 | + | 0.251679i | ||||
\(527\) | 28.2807 | − | 23.7303i | 1.23193 | − | 1.03371i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.64774 | + | 3.51149i | −0.419467 | + | 0.152673i | ||||
\(530\) | −4.86676 | + | 3.10085i | −0.211398 | + | 0.134692i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.89293 | − | 1.34860i | −0.125424 | − | 0.0584694i | ||||
\(533\) | 0.0177924 | − | 0.100906i | 0.000770676 | − | 0.00437072i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.53899 | − | 9.72329i | 0.153004 | − | 0.420375i | ||||
\(536\) | −22.2258 | + | 7.01185i | −0.960009 | + | 0.302866i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.81911 | + | 6.28112i | −0.207767 | + | 0.270798i | ||||
\(539\) | 13.0287i | 0.561186i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 37.3027i | 1.60377i | 0.597479 | + | 0.801884i | \(0.296169\pi\) | ||||
−0.597479 | + | 0.801884i | \(0.703831\pi\) | |||||||
\(542\) | 1.75657 | + | 1.34771i | 0.0754511 | + | 0.0578890i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −10.0866 | − | 24.3321i | −0.432461 | − | 1.04323i | ||||
\(545\) | −11.9048 | + | 32.7082i | −0.509945 | + | 1.40106i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.56925 | − | 20.2422i | 0.152610 | − | 0.865496i | −0.808328 | − | 0.588733i | \(-0.799627\pi\) |
0.960938 | − | 0.276763i | \(-0.0892618\pi\) | |||||||
\(548\) | −23.8647 | − | 11.1251i | −1.01945 | − | 0.475239i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.54327 | − | 5.56114i | −0.151086 | − | 0.237128i | ||||
\(551\) | −1.75273 | + | 0.637941i | −0.0746687 | + | 0.0271772i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 14.1249 | − | 11.8522i | 0.600651 | − | 0.504006i | ||||
\(554\) | 29.2307 | − | 26.7880i | 1.24189 | − | 1.13811i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 21.7378 | − | 10.1395i | 0.921890 | − | 0.430009i | ||||
\(557\) | −13.7564 | − | 23.8268i | −0.582877 | − | 1.00957i | −0.995136 | − | 0.0985064i | \(-0.968593\pi\) |
0.412259 | − | 0.911067i | \(-0.364740\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.00349 | − | 2.88877i | −0.211625 | − | 0.122182i | ||||
\(560\) | −59.6547 | + | 0.0132600i | −2.52087 | + | 0.000560338i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 12.1351 | + | 3.82546i | 0.511890 | + | 0.161367i | ||||
\(563\) | 28.2129 | − | 4.97470i | 1.18903 | − | 0.209658i | 0.456080 | − | 0.889939i | \(-0.349253\pi\) |
0.732952 | + | 0.680280i | \(0.238142\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 22.3856 | − | 26.6781i | 0.941770 | − | 1.12236i | ||||
\(566\) | −1.78397 | − | 40.8076i | −0.0749859 | − | 1.71527i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.138093 | + | 1.04757i | 0.00579424 | + | 0.0439550i | ||||
\(569\) | 4.16772 | − | 4.96689i | 0.174720 | − | 0.208223i | −0.671577 | − | 0.740935i | \(-0.734383\pi\) |
0.846297 | + | 0.532712i | \(0.178827\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.13866 | − | 23.4715i | −0.173197 | − | 0.982252i | −0.940204 | − | 0.340612i | \(-0.889366\pi\) |
0.767006 | − | 0.641639i | \(-0.221745\pi\) | |||||||
\(572\) | 3.25431 | + | 0.871602i | 0.136070 | + | 0.0364435i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.352335 | − | 0.0463658i | −0.0147062 | − | 0.00193527i | ||||
\(575\) | −15.1576 | + | 26.2538i | −0.632117 | + | 1.09486i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.82303 | + | 17.0140i | 0.408938 | + | 0.708302i | 0.994771 | − | 0.102130i | \(-0.0325658\pi\) |
−0.585833 | + | 0.810432i | \(0.699232\pi\) | |||||||
\(578\) | 2.53371 | + | 6.11595i | 0.105388 | + | 0.254390i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −24.6473 | + | 24.6528i | −1.02343 | + | 1.02365i | ||||
\(581\) | 49.4491 | − | 41.4927i | 2.05149 | − | 1.72141i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.386593 | − | 1.06215i | −0.0160110 | − | 0.0439899i | ||||
\(584\) | 28.2498 | − | 21.6843i | 1.16899 | − | 0.897305i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −22.4264 | − | 11.6729i | −0.926426 | − | 0.482202i | ||||
\(587\) | 0.851961 | + | 0.150224i | 0.0351642 | + | 0.00620040i | 0.191203 | − | 0.981551i | \(-0.438761\pi\) |
−0.156038 | + | 0.987751i | \(0.549872\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.929313 | + | 2.55327i | −0.0382917 | + | 0.105206i | ||||
\(590\) | 6.97778 | + | 31.4665i | 0.287271 | + | 1.29545i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 5.35141 | − | 9.27367i | 0.219942 | − | 0.381145i | ||||
\(593\) | 14.5405i | 0.597108i | 0.954393 | + | 0.298554i | \(0.0965044\pi\) | ||||
−0.954393 | + | 0.298554i | \(0.903496\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 69.4424 | 2.84686 | ||||||||
\(596\) | −14.5083 | − | 10.1564i | −0.594284 | − | 0.416024i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.35320 | − | 15.1213i | −0.137122 | − | 0.618357i | ||||
\(599\) | 19.6014 | + | 7.13433i | 0.800892 | + | 0.291501i | 0.709856 | − | 0.704347i | \(-0.248760\pi\) |
0.0910360 | + | 0.995848i | \(0.470982\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.10434 | + | 17.6056i | −0.126629 | + | 0.718147i | 0.853699 | + | 0.520768i | \(0.174354\pi\) |
−0.980327 | + | 0.197379i | \(0.936757\pi\) | |||||||
\(602\) | −9.25168 | + | 17.7747i | −0.377070 | + | 0.724443i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −4.79865 | + | 3.36085i | −0.195254 | + | 0.136751i | ||||
\(605\) | −30.7347 | + | 11.1865i | −1.24954 | + | 0.454797i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 11.4075 | + | 13.5950i | 0.463017 | + | 0.551803i | 0.946143 | − | 0.323748i | \(-0.104943\pi\) |
−0.483126 | + | 0.875551i | \(0.660499\pi\) | |||||||
\(608\) | 1.53833 | + | 1.17972i | 0.0623873 | + | 0.0478440i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 34.7987 | − | 14.4163i | 1.40896 | − | 0.583701i | ||||
\(611\) | 18.0101 | − | 10.3981i | 0.728609 | − | 0.420662i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.61359 | + | 3.81836i | 0.267120 | + | 0.154222i | 0.627578 | − | 0.778554i | \(-0.284046\pi\) |
−0.360458 | + | 0.932775i | \(0.617380\pi\) | |||||||
\(614\) | −7.48412 | − | 0.984880i | −0.302035 | − | 0.0397465i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.52715 | − | 11.4082i | 0.101822 | − | 0.459651i | ||||
\(617\) | −1.20638 | + | 0.212717i | −0.0485669 | + | 0.00856365i | −0.197879 | − | 0.980226i | \(-0.563405\pi\) |
0.149312 | + | 0.988790i | \(0.452294\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.70712 | − | 3.94975i | −0.189195 | − | 0.158754i | 0.543270 | − | 0.839558i | \(-0.317186\pi\) |
−0.732465 | + | 0.680804i | \(0.761630\pi\) | |||||||
\(620\) | 4.43162 | + | 50.5889i | 0.177978 | + | 2.03170i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.603271 | − | 13.7996i | −0.0241890 | − | 0.553313i | ||||
\(623\) | −26.1578 | − | 21.9490i | −1.04799 | − | 0.879367i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.10756 | − | 23.2951i | −0.164302 | − | 0.931805i | ||||
\(626\) | 9.47377 | − | 30.0528i | 0.378648 | − | 1.20115i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −21.7520 | − | 1.90062i | −0.868001 | − | 0.0758430i | ||||
\(629\) | −6.23183 | + | 10.7938i | −0.248479 | + | 0.430379i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.14675 | + | 2.39413i | −0.165080 | + | 0.0953088i | −0.580264 | − | 0.814429i | \(-0.697051\pi\) |
0.415184 | + | 0.909737i | \(0.363717\pi\) | |||||||
\(632\) | −9.93279 | + | 5.17279i | −0.395105 | + | 0.205762i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −15.1549 | − | 16.5368i | −0.601878 | − | 0.656761i | ||||
\(635\) | −29.0875 | − | 34.6652i | −1.15430 | − | 1.37565i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.53816 | + | 26.2059i | 0.377916 | + | 1.03832i | ||||
\(638\) | −3.66914 | − | 5.75868i | −0.145263 | − | 0.227989i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 35.3763 | + | 7.82831i | 1.39837 | + | 0.309441i | ||||
\(641\) | −7.66053 | − | 1.35076i | −0.302573 | − | 0.0533517i | 0.0203006 | − | 0.999794i | \(-0.493538\pi\) |
−0.322873 | + | 0.946442i | \(0.604649\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 22.0412 | + | 8.02234i | 0.869220 | + | 0.316370i | 0.737851 | − | 0.674964i | \(-0.235841\pi\) |
0.131369 | + | 0.991334i | \(0.458063\pi\) | |||||||
\(644\) | −51.8875 | + | 13.9094i | −2.04465 | + | 0.548107i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.79042 | − | 1.37368i | −0.0704430 | − | 0.0540466i | ||||
\(647\) | 11.2669 | 0.442948 | 0.221474 | − | 0.975166i | \(-0.428913\pi\) | ||||
0.221474 | + | 0.975166i | \(0.428913\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.31318 | −0.247814 | ||||||||
\(650\) | −11.1982 | − | 8.59168i | −0.439229 | − | 0.336993i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.509274 | + | 1.89979i | 0.0199447 | + | 0.0744016i | ||||
\(653\) | −36.3675 | − | 13.2367i | −1.42317 | − | 0.517991i | −0.488203 | − | 0.872730i | \(-0.662347\pi\) |
−0.934965 | + | 0.354739i | \(0.884570\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.3880 | − | 2.00802i | −0.444968 | − | 0.0784598i | ||||
\(656\) | 0.202840 | + | 0.0737768i | 0.00791958 | + | 0.00288050i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −38.7576 | − | 60.8298i | −1.51093 | − | 2.37139i | ||||
\(659\) | 11.6740 | + | 32.0740i | 0.454753 | + | 1.24942i | 0.929343 | + | 0.369217i | \(0.120374\pi\) |
−0.474590 | + | 0.880207i | \(0.657404\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −32.5831 | − | 38.8310i | −1.26734 | − | 1.51035i | −0.762252 | − | 0.647281i | \(-0.775906\pi\) |
−0.505083 | − | 0.863071i | \(-0.668538\pi\) | |||||||
\(662\) | 27.0351 | + | 29.5004i | 1.05075 | + | 1.14656i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −34.7732 | + | 18.1091i | −1.34946 | + | 0.702771i | ||||
\(665\) | −4.42618 | + | 2.55546i | −0.171640 | + | 0.0990964i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −15.6961 | + | 27.1864i | −0.607754 | + | 1.05266i | ||||
\(668\) | 0.278686 | − | 3.18947i | 0.0107827 | − | 0.123404i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −11.2198 | + | 35.5916i | −0.433459 | + | 1.37502i | ||||
\(671\) | 1.28116 | + | 7.26582i | 0.0494587 | + | 0.280494i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.6716 | + | 14.8283i | 0.681191 | + | 0.571587i | 0.916354 | − | 0.400369i | \(-0.131118\pi\) |
−0.235163 | + | 0.971956i | \(0.575562\pi\) | |||||||
\(674\) | −0.213774 | − | 4.88999i | −0.00823426 | − | 0.188355i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −18.7170 | + | 1.63962i | −0.719885 | + | 0.0630624i | ||||
\(677\) | 32.2459 | + | 27.0575i | 1.23931 | + | 1.03991i | 0.997578 | + | 0.0695623i | \(0.0221603\pi\) |
0.241733 | + | 0.970343i | \(0.422284\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.06720 | − | 0.717158i | 0.156085 | − | 0.0275220i | ||||
\(680\) | −41.1786 | − | 9.12187i | −1.57913 | − | 0.349808i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −9.86196 | − | 1.29779i | −0.377634 | − | 0.0496951i | ||||
\(683\) | −34.0757 | − | 19.6736i | −1.30387 | − | 0.752789i | −0.322804 | − | 0.946466i | \(-0.604625\pi\) |
−0.981065 | + | 0.193676i | \(0.937959\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −36.5130 | + | 21.0808i | −1.39509 | + | 0.805456i | ||||
\(686\) | 46.7681 | − | 19.3750i | 1.78561 | − | 0.739741i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.82101 | − | 9.32493i | 0.298173 | − | 0.355510i | ||||
\(689\) | −1.55518 | − | 1.85340i | −0.0592478 | − | 0.0706087i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 34.6497 | − | 12.6115i | 1.31814 | − | 0.479762i | 0.415276 | − | 0.909696i | \(-0.363685\pi\) |
0.902861 | + | 0.429933i | \(0.141463\pi\) | |||||||
\(692\) | −16.2668 | − | 23.2260i | −0.618372 | − | 0.882919i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −14.1276 | + | 27.1426i | −0.536278 | + | 1.03032i | ||||
\(695\) | 6.66949 | − | 37.8245i | 0.252988 | − | 1.43477i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.236102 | − | 0.0859340i | −0.00894299 | − | 0.00325498i | ||||
\(698\) | −6.48252 | − | 29.2331i | −0.245367 | − | 1.10649i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −28.0739 | + | 40.1032i | −1.06109 | + | 1.51576i | ||||
\(701\) | −6.58502 | −0.248713 | −0.124356 | − | 0.992238i | \(-0.539687\pi\) | ||||
−0.124356 | + | 0.992238i | \(0.539687\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 0.917317i | − | 0.0345973i | ||||||
\(704\) | −2.99714 | + | 6.43300i | −0.112959 | + | 0.242453i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.77866 | + | 21.5495i | 0.179847 | + | 0.811024i | ||||
\(707\) | 10.0443 | − | 27.5965i | 0.377755 | − | 1.03787i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.2866 | + | 1.99013i | 0.423876 | + | 0.0747408i | 0.381517 | − | 0.924362i | \(-0.375402\pi\) |
0.0423588 | + | 0.999102i | \(0.486513\pi\) | |||||||
\(710\) | 1.50080 | + | 0.781163i | 0.0563242 | + | 0.0293165i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.6281 | + | 16.4516i | 0.473257 | + | 0.616548i | ||||
\(713\) | 15.6406 | + | 42.9723i | 0.585746 | + | 1.60932i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.13252 | − | 3.46760i | 0.154548 | − | 0.129681i | ||||
\(716\) | −8.60930 | − | 8.60739i | −0.321745 | − | 0.321673i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.64262 | + | 6.37885i | 0.0986217 | + | 0.238057i | ||||
\(719\) | 14.6250 | + | 25.3313i | 0.545421 | + | 0.944697i | 0.998580 | + | 0.0532673i | \(0.0169635\pi\) |
−0.453159 | + | 0.891430i | \(0.649703\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 20.3569 | − | 35.2591i | 0.758129 | − | 1.31312i | ||||
\(722\) | −26.4757 | − | 3.48410i | −0.985324 | − | 0.129665i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 6.81468 | − | 25.4440i | 0.253266 | − | 0.945620i | ||||
\(725\) | 4.96752 | + | 28.1722i | 0.184489 | + | 1.04629i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 32.7533 | − | 39.0339i | 1.21475 | − | 1.44769i | 0.356628 | − | 0.934246i | \(-0.383926\pi\) |
0.858125 | − | 0.513440i | \(-0.171629\pi\) | |||||||
\(728\) | −3.26874 | − | 24.7966i | −0.121147 | − | 0.919022i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.49055 | − | 56.9704i | −0.0921795 | − | 2.10857i | ||||
\(731\) | −9.10664 | + | 10.8529i | −0.336821 | + | 0.401408i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.54100 | + | 0.448046i | −0.0938538 | + | 0.0165490i | −0.220378 | − | 0.975415i | \(-0.570729\pi\) |
0.126524 | + | 0.991964i | \(0.459618\pi\) | |||||||
\(734\) | −13.5750 | − | 4.27935i | −0.501062 | − | 0.157954i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 32.5959 | − | 1.43224i | 1.20150 | − | 0.0527931i | ||||
\(737\) | −6.33034 | − | 3.65482i | −0.233181 | − | 0.134627i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.86165 | + | 6.68857i | 0.142053 | + | 0.246043i | 0.928270 | − | 0.371908i | \(-0.121296\pi\) |
−0.786217 | + | 0.617951i | \(0.787963\pi\) | |||||||
\(740\) | −7.24730 | − | 15.5374i | −0.266416 | − | 0.571165i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −6.18645 | + | 5.66947i | −0.227112 | + | 0.208133i | ||||
\(743\) | −9.80501 | + | 8.22738i | −0.359711 | + | 0.301833i | −0.804676 | − | 0.593715i | \(-0.797661\pi\) |
0.444965 | + | 0.895548i | \(0.353216\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −26.6479 | + | 9.69906i | −0.976305 | + | 0.355346i | ||||
\(746\) | 1.13658 | + | 1.78386i | 0.0416132 | + | 0.0653116i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.49056 | − | 7.48770i | 0.127627 | − | 0.273777i | ||||
\(749\) | 2.61279 | − | 14.8179i | 0.0954693 | − | 0.541433i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.0834 | − | 41.4413i | 0.550401 | − | 1.51221i | −0.282763 | − | 0.959190i | \(-0.591251\pi\) |
0.833165 | − | 0.553025i | \(-0.186527\pi\) | |||||||
\(752\) | 14.9923 | + | 41.1626i | 0.546714 | + | 1.50105i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −11.5960 | − | 8.89687i | −0.422300 | − | 0.324005i | ||||
\(755\) | 9.38096i | 0.341408i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 27.9094i | − | 1.01438i | −0.861833 | − | 0.507192i | \(-0.830684\pi\) | ||
0.861833 | − | 0.507192i | \(-0.169316\pi\) | |||||||
\(758\) | −22.7295 | + | 29.6251i | −0.825574 | + | 1.07603i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.96036 | − | 0.933941i | 0.107384 | − | 0.0338776i | ||||
\(761\) | 7.20399 | − | 19.7928i | 0.261145 | − | 0.717489i | −0.737946 | − | 0.674859i | \(-0.764204\pi\) |
0.999091 | − | 0.0426294i | \(-0.0135735\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −8.78916 | + | 49.8458i | −0.318189 | + | 1.80454i | ||||
\(764\) | 18.0675 | − | 38.7572i | 0.653660 | − | 1.40218i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 18.7422 | − | 11.9415i | 0.677182 | − | 0.431466i | ||||
\(767\) | −12.6983 | + | 4.62181i | −0.458509 | + | 0.166884i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −9.76794 | + | 8.19627i | −0.352241 | + | 0.295565i | −0.801689 | − | 0.597741i | \(-0.796065\pi\) |
0.449448 | + | 0.893306i | \(0.351621\pi\) | |||||||
\(770\) | −12.6412 | − | 13.7939i | −0.455558 | − | 0.497099i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 38.0511 | − | 17.7487i | 1.36949 | − | 0.638788i | ||||
\(773\) | 24.3894 | + | 42.2437i | 0.877226 | + | 1.51940i | 0.854372 | + | 0.519661i | \(0.173942\pi\) |
0.0228536 | + | 0.999739i | \(0.492725\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 36.0896 | + | 20.8363i | 1.29638 | + | 0.748463i | ||||
\(776\) | −2.50601 | − | 0.108996i | −0.0899607 | − | 0.00391274i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.60643 | + | 27.3014i | −0.308556 | + | 0.978803i | ||||
\(779\) | 0.0182112 | − | 0.00321113i | 0.000652484 | − | 0.000115051i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.213023 | + | 0.253871i | −0.00762256 | + | 0.00908421i | ||||
\(782\) | −37.9443 | + | 1.65880i | −1.35689 | + | 0.0593185i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −57.8516 | + | 10.2141i | −2.06613 | + | 0.364788i | ||||
\(785\) | −22.4739 | + | 26.7833i | −0.802127 | + | 0.955938i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −4.56672 | − | 25.8991i | −0.162786 | − | 0.923205i | −0.951318 | − | 0.308211i | \(-0.900270\pi\) |
0.788532 | − | 0.614994i | \(-0.210841\pi\) | |||||||
\(788\) | 20.2186 | + | 5.41516i | 0.720259 | + | 0.192907i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.33966 | + | 17.7791i | −0.0832414 | + | 0.632553i | ||||
\(791\) | 25.3209 | − | 43.8570i | 0.900306 | − | 1.55938i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.89615 | + | 13.6765i | 0.280401 | + | 0.485668i | ||||
\(794\) | 36.0084 | − | 14.9175i | 1.27789 | − | 0.529402i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 23.4662 | + | 23.4610i | 0.831739 | + | 0.831554i | ||||
\(797\) | −27.3124 | + | 22.9179i | −0.967456 | + | 0.811792i | −0.982150 | − | 0.188100i | \(-0.939767\pi\) |
0.0146935 | + | 0.999892i | \(0.495323\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −17.4415 | − | 47.9201i | −0.617036 | − | 1.69529i | ||||
\(800\) | 21.9154 | − | 20.0930i | 0.774828 | − | 0.710395i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −4.43137 | + | 8.51375i | −0.156477 | + | 0.300631i | ||||
\(803\) | 11.0000 | + | 1.93959i | 0.388180 | + | 0.0684467i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −29.4200 | + | 80.8307i | −1.03692 | + | 2.84891i | ||||
\(806\) | −20.7864 | + | 4.60945i | −0.732171 | + | 0.162361i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −9.58121 | + | 15.0450i | −0.337066 | + | 0.529282i | ||||
\(809\) | 41.4917i | 1.45877i | 0.684103 | + | 0.729385i | \(0.260194\pi\) | ||||
−0.684103 | + | 0.729385i | \(0.739806\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 29.0442 | 1.01988 | 0.509940 | − | 0.860210i | \(-0.329667\pi\) | ||||
0.509940 | + | 0.860210i | \(0.329667\pi\) | |||||||
\(812\) | −29.0712 | + | 41.5277i | −1.02020 | + | 1.45734i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.27851 | − | 0.727019i | 0.114912 | − | 0.0254820i | ||||
\(815\) | 2.95951 | + | 1.07717i | 0.103667 | + | 0.0377318i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.181065 | − | 1.02687i | 0.00633467 | − | 0.0359257i | ||||
\(818\) | 21.4755 | + | 11.1779i | 0.750873 | + | 0.390827i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.283089 | − | 0.198268i | 0.00988589 | − | 0.00692381i | ||||
\(821\) | −47.7187 | + | 17.3682i | −1.66539 | + | 0.606153i | −0.991197 | − | 0.132399i | \(-0.957732\pi\) |
−0.674196 | + | 0.738552i | \(0.735510\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 10.2372 | + | 12.2002i | 0.356847 | + | 0.425274i | 0.914365 | − | 0.404891i | \(-0.132691\pi\) |
−0.557518 | + | 0.830165i | \(0.688246\pi\) | |||||||
\(824\) | −16.7030 | + | 18.2342i | −0.581877 | + | 0.635219i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 17.9381 | + | 43.2996i | 0.624146 | + | 1.50659i | ||||
\(827\) | −26.8166 | + | 15.4826i | −0.932504 | + | 0.538381i | −0.887603 | − | 0.460610i | \(-0.847631\pi\) |
−0.0449012 | + | 0.998991i | \(0.514297\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 5.02207 | + | 2.89949i | 0.174424 | + | 0.100704i | 0.584670 | − | 0.811271i | \(-0.301224\pi\) |
−0.410246 | + | 0.911975i | \(0.634557\pi\) | |||||||
\(830\) | −8.19081 | + | 62.2421i | −0.284307 | + | 2.16045i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.31892 | + | 15.1335i | −0.0457255 | + | 0.524659i | ||||
\(833\) | 67.3461 | − | 11.8749i | 2.33340 | − | 0.411442i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.92720 | − | 3.29531i | −0.135906 | − | 0.114039i | ||||
\(836\) | 0.0530605 | + | 0.605709i | 0.00183514 | + | 0.0209489i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 2.19594 | − | 0.0959989i | 0.0758573 | − | 0.00331623i | ||||
\(839\) | −11.9037 | − | 9.98841i | −0.410962 | − | 0.344838i | 0.413750 | − | 0.910390i | \(-0.364219\pi\) |
−0.824712 | + | 0.565552i | \(0.808663\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.108181 | + | 0.613526i | 0.00373038 | + | 0.0211561i | ||||
\(842\) | 18.2027 | + | 5.73817i | 0.627306 | + | 0.197751i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.62387 | + | 18.5847i | −0.0558959 | + | 0.639712i | ||||
\(845\) | −15.0427 | + | 26.0547i | −0.517484 | + | 0.896309i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −41.1889 | + | 23.7804i | −1.41527 | + | 0.817106i | ||||
\(848\) | 4.41323 | − | 2.54929i | 0.151551 | − | 0.0875429i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −25.5164 | + | 23.3841i | −0.875204 | + | 0.802067i | ||||
\(851\) | −9.92382 | − | 11.8268i | −0.340184 | − | 0.405416i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.27000 | − | 14.4792i | −0.180441 | − | 0.495758i | 0.816189 | − | 0.577785i | \(-0.196083\pi\) |
−0.996630 | + | 0.0820269i | \(0.973861\pi\) | |||||||
\(854\) | 46.1932 | − | 29.4319i | 1.58070 | − | 1.00714i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.49582 | + | 8.44363i | −0.119485 | + | 0.288597i | ||||
\(857\) | 43.4090 | + | 7.65418i | 1.48282 | + | 0.261462i | 0.855706 | − | 0.517463i | \(-0.173123\pi\) |
0.627118 | + | 0.778924i | \(0.284234\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 49.6251 | + | 18.0621i | 1.69319 | + | 0.616270i | 0.995021 | − | 0.0996665i | \(-0.0317776\pi\) |
0.698166 | + | 0.715936i | \(0.254000\pi\) | |||||||
\(860\) | −5.04598 | − | 18.8235i | −0.172067 | − | 0.641876i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 28.0828 | − | 36.6024i | 0.956504 | − | 1.24668i | ||||
\(863\) | 51.1622 | 1.74158 | 0.870791 | − | 0.491653i | \(-0.163607\pi\) | ||||
0.870791 | + | 0.491653i | \(0.163607\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −45.4048 | −1.54381 | ||||||||
\(866\) | 17.5764 | − | 22.9086i | 0.597269 | − | 0.778465i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 19.1205 | + | 71.3268i | 0.648991 | + | 2.42099i | ||||
\(869\) | −3.30066 | − | 1.20134i | −0.111967 | − | 0.0407527i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −15.4085 | − | 2.71693i | −0.522097 | − | 0.0920597i | ||||
\(872\) | 11.7596 | − | 28.4035i | 0.398229 | − | 0.961863i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.35749 | − | 1.50207i | 0.0797431 | − | 0.0508082i | ||||
\(875\) | 1.30578 | + | 3.58759i | 0.0441433 | + | 0.121283i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 21.3535 | + | 25.4481i | 0.721055 | + | 0.859320i | 0.994733 | − | 0.102501i | \(-0.0326845\pi\) |
−0.273678 | + | 0.961822i | \(0.588240\pi\) | |||||||
\(878\) | 5.31374 | − | 4.86969i | 0.179330 | − | 0.164344i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 5.68416 | + | 9.84020i | 0.191613 | + | 0.331713i | ||||
\(881\) | 24.0135 | − | 13.8642i | 0.809034 | − | 0.467096i | −0.0375862 | − | 0.999293i | \(-0.511967\pi\) |
0.846620 | + | 0.532197i | \(0.178634\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 7.38127 | − | 12.7847i | 0.248400 | − | 0.430241i | −0.714682 | − | 0.699449i | \(-0.753429\pi\) |
0.963082 | + | 0.269208i | \(0.0867621\pi\) | |||||||
\(884\) | 1.53924 | − | 17.6161i | 0.0517702 | − | 0.592495i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 24.9856 | + | 7.87641i | 0.839408 | + | 0.264613i | ||||
\(887\) | −3.08832 | − | 17.5147i | −0.103695 | − | 0.588086i | −0.991733 | − | 0.128316i | \(-0.959043\pi\) |
0.888038 | − | 0.459770i | \(-0.152068\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −50.4081 | − | 42.2974i | −1.69063 | − | 1.41861i | ||||
\(890\) | 33.1772 | − | 1.45040i | 1.11210 | − | 0.0486174i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −3.27285 | − | 37.3610i | −0.109583 | − | 1.25094i | ||||
\(893\) | 2.87515 | + | 2.41254i | 0.0962132 | + | 0.0807324i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −19.1975 | + | 3.38504i | −0.641702 | + | 0.113149i | ||||
\(896\) | 52.6374 | + | 2.27768i | 1.75849 | + | 0.0760921i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 3.49455 | − | 26.5552i | 0.116615 | − | 0.886158i | ||||
\(899\) | 37.3716 | + | 21.5765i | 1.24641 | + | 0.719616i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.13798 | + | 2.96642i | −0.171171 | + | 0.0988256i | ||||
\(902\) | 0.0259099 | + | 0.0625423i | 0.000862706 | + | 0.00208243i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −20.7760 | + | 22.6806i | −0.691000 | + | 0.754346i | ||||
\(905\) | −27.1116 | − | 32.3104i | −0.901221 | − | 1.07403i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −33.8368 | + | 12.3156i | −1.12353 | + | 0.408932i | −0.835940 | − | 0.548821i | \(-0.815077\pi\) |
−0.287591 | + | 0.957753i | \(0.592854\pi\) | |||||||
\(908\) | −8.30165 | + | 5.81426i | −0.275500 | + | 0.192953i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −35.5249 | − | 18.4906i | −1.17764 | − | 0.612957i | ||||
\(911\) | 0.0484884 | − | 0.274992i | 0.00160649 | − | 0.00911088i | −0.983994 | − | 0.178202i | \(-0.942972\pi\) |
0.985600 | + | 0.169091i | \(0.0540831\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −11.5551 | − | 4.20572i | −0.382418 | − | 0.139189i | ||||
\(914\) | 14.4552 | − | 3.20549i | 0.478137 | − | 0.106028i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 25.8564 | − | 36.9355i | 0.854320 | − | 1.22038i | ||||
\(917\) | −16.8153 | −0.555290 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 19.5234i | 0.644017i | 0.946737 | + | 0.322008i | \(0.104358\pi\) | ||||
−0.946737 | + | 0.322008i | \(0.895642\pi\) | |||||||
\(920\) | 28.0636 | − | 44.0672i | 0.925229 | − | 1.45285i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −33.6735 | + | 7.46719i | −1.10898 | + | 0.245919i | ||||
\(923\) | −0.242618 | + | 0.666587i | −0.00798586 | + | 0.0219410i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.8552 | − | 2.44304i | −0.455555 | − | 0.0803267i | ||||
\(926\) | 10.2866 | − | 19.7631i | 0.338039 | − | 0.649454i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 22.6939 | − | 20.8068i | 0.744965 | − | 0.683015i | ||||
\(929\) | 12.7507 | + | 35.0323i | 0.418338 | + | 1.14937i | 0.952645 | + | 0.304083i | \(0.0983502\pi\) |
−0.534308 | + | 0.845290i | \(0.679428\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3.85557 | + | 3.23521i | −0.126361 | + | 0.106030i | ||||
\(932\) | 8.06299 | + | 8.06120i | 0.264112 | + | 0.264053i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −10.0283 | + | 4.15451i | −0.328136 | + | 0.135940i | ||||
\(935\) | −6.61423 | − | 11.4562i | −0.216308 | − | 0.374657i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1.65449 | + | 2.86566i | −0.0540499 | + | 0.0936171i | −0.891784 | − | 0.452461i | \(-0.850546\pi\) |
0.837735 | + | 0.546078i | \(0.183880\pi\) | |||||||
\(938\) | −7.08013 | + | 53.8020i | −0.231174 | + | 1.75670i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 67.7591 | + | 18.1479i | 2.21006 | + | 0.591920i | ||||
\(941\) | −8.25196 | − | 46.7992i | −0.269006 | − | 1.52561i | −0.757379 | − | 0.652975i | \(-0.773521\pi\) |
0.488373 | − | 0.872635i | \(-0.337591\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.200054 | − | 0.238415i | 0.00651465 | − | 0.00776386i | ||||
\(944\) | −4.94932 | − | 28.0325i | −0.161087 | − | 0.912381i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 3.81356 | − | 0.166716i | 0.123990 | − | 0.00542041i | ||||
\(947\) | −15.7887 | + | 18.8162i | −0.513063 | + | 0.611444i | −0.958926 | − | 0.283657i | \(-0.908452\pi\) |
0.445863 | + | 0.895101i | \(0.352897\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 23.5453 | − | 4.15167i | 0.764312 | − | 0.134769i | ||||
\(950\) | 0.765860 | − | 2.42947i | 0.0248478 | − | 0.0788224i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −61.2732 | − | 2.66501i | −1.98587 | − | 0.0863735i | ||||
\(953\) | 5.53399 | + | 3.19505i | 0.179264 | + | 0.103498i | 0.586947 | − | 0.809626i | \(-0.300330\pi\) |
−0.407683 | + | 0.913124i | \(0.633663\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −34.2360 | − | 59.2984i | −1.10785 | − | 1.91885i | ||||
\(956\) | −41.7465 | + | 19.4724i | −1.35018 | + | 0.629782i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −29.8007 | − | 32.5182i | −0.962818 | − | 1.05061i | ||||
\(959\) | −46.9654 | + | 39.4086i | −1.51659 | + | 1.27257i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 29.9411 | − | 10.8977i | 0.965843 | − | 0.351538i | ||||
\(962\) | 6.06214 | − | 3.86249i | 0.195451 | − | 0.124532i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 18.3298 | − | 39.3199i | 0.590364 | − | 1.26641i | ||||
\(965\) | 11.6746 | − | 66.2101i | 0.375819 | − | 2.13138i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 7.29798 | − | 20.0510i | 0.234687 | − | 0.644798i | −0.765312 | − | 0.643659i | \(-0.777415\pi\) |
0.999999 | − | 0.00113855i | \(-0.000362411\pi\) | |||||||
\(968\) | 27.5484 | − | 8.69102i | 0.885439 | − | 0.279340i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.44494 | + | 3.18668i | −0.0785024 | + | 0.102318i | ||||
\(971\) | − | 18.8858i | − | 0.606074i | −0.952979 | − | 0.303037i | \(-0.901999\pi\) | ||
0.952979 | − | 0.303037i | \(-0.0980006\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 55.8507i | − | 1.79049i | ||||||
\(974\) | −15.9525 | − | 12.2393i | −0.511150 | − | 0.392174i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −31.2582 | + | 11.3849i | −1.00055 | + | 0.364423i | ||||
\(977\) | 12.8528 | − | 35.3129i | 0.411199 | − | 1.12976i | −0.545355 | − | 0.838205i | \(-0.683605\pi\) |
0.956554 | − | 0.291555i | \(-0.0941726\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.12954 | + | 6.40593i | −0.0361002 | + | 0.204735i | ||||
\(980\) | −39.7452 | + | 85.2586i | −1.26961 | + | 2.72348i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −1.07328 | − | 1.68451i | −0.0342499 | − | 0.0537549i | ||||
\(983\) | −0.0615360 | + | 0.0223973i | −0.00196269 | + | 0.000714362i | −0.343001 | − | 0.939335i | \(-0.611444\pi\) |
0.341039 | + | 0.940049i | \(0.389221\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 25.6749 | − | 21.5438i | 0.818069 | − | 0.686441i | ||||
\(986\) | −26.4228 | + | 24.2147i | −0.841472 | + | 0.771153i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.550159 | + | 1.17948i | 0.0175029 | + | 0.0375242i | ||||
\(989\) | −8.77459 | − | 15.1980i | −0.279016 | − | 0.483269i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.32285 | − | 1.34110i | −0.0737876 | − | 0.0426013i | 0.462652 | − | 0.886540i | \(-0.346898\pi\) |
−0.536440 | + | 0.843939i | \(0.680231\pi\) | |||||||
\(992\) | −1.96882 | − | 44.8077i | −0.0625101 | − | 1.42265i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2.34648 | + | 0.739698i | 0.0744257 | + | 0.0234618i | ||||
\(995\) | 52.3264 | − | 9.22655i | 1.65886 | − | 0.292501i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −6.81445 | + | 8.12114i | −0.215816 | + | 0.257199i | −0.863081 | − | 0.505066i | \(-0.831468\pi\) |
0.647265 | + | 0.762265i | \(0.275913\pi\) | |||||||
\(998\) | 1.85021 | + | 42.3229i | 0.0585675 | + | 1.33971i | ||||
\(999\) | 0 | 0 |
(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 | 648.2.v.b.35.9 | 192 | ||
3.2 | odd | 2 | 216.2.v.b.11.24 | ✓ | 192 | ||
8.3 | odd | 2 | inner | 648.2.v.b.35.8 | 192 | ||
12.11 | even | 2 | 864.2.bh.b.335.4 | 192 | |||
24.5 | odd | 2 | 864.2.bh.b.335.3 | 192 | |||
24.11 | even | 2 | 216.2.v.b.11.25 | yes | 192 | ||
27.5 | odd | 18 | inner | 648.2.v.b.611.8 | 192 | ||
27.22 | even | 9 | 216.2.v.b.59.25 | yes | 192 | ||
108.103 | odd | 18 | 864.2.bh.b.815.3 | 192 | |||
216.59 | even | 18 | inner | 648.2.v.b.611.9 | 192 | ||
216.157 | even | 18 | 864.2.bh.b.815.4 | 192 | |||
216.211 | odd | 18 | 216.2.v.b.59.24 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.v.b.11.24 | ✓ | 192 | 3.2 | odd | 2 | ||
216.2.v.b.11.25 | yes | 192 | 24.11 | even | 2 | ||
216.2.v.b.59.24 | yes | 192 | 216.211 | odd | 18 | ||
216.2.v.b.59.25 | yes | 192 | 27.22 | even | 9 | ||
648.2.v.b.35.8 | 192 | 8.3 | odd | 2 | inner | ||
648.2.v.b.35.9 | 192 | 1.1 | even | 1 | trivial | ||
648.2.v.b.611.8 | 192 | 27.5 | odd | 18 | inner | ||
648.2.v.b.611.9 | 192 | 216.59 | even | 18 | inner | ||
864.2.bh.b.335.3 | 192 | 24.5 | odd | 2 | |||
864.2.bh.b.335.4 | 192 | 12.11 | even | 2 | |||
864.2.bh.b.815.3 | 192 | 108.103 | odd | 18 | |||
864.2.bh.b.815.4 | 192 | 216.157 | even | 18 |