Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(214,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.214");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.q (of order \(15\), degree \(8\), 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: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 471.3 | ||
Character | \(\chi\) | \(=\) | 539.471 |
Dual form | 539.2.q.f.214.3 |
$q$-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 \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(442\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.448146 | + | 0.497717i | 0.316887 | + | 0.351939i | 0.880454 | − | 0.474132i | \(-0.157238\pi\) |
−0.563567 | + | 0.826070i | \(0.690571\pi\) | |||||||
\(3\) | −2.86833 | − | 1.27706i | −1.65603 | − | 0.737311i | −0.656178 | − | 0.754606i | \(-0.727828\pi\) |
−0.999850 | + | 0.0172947i | \(0.994495\pi\) | |||||||
\(4\) | 0.162170 | − | 1.54294i | 0.0810850 | − | 0.771472i | ||||
\(5\) | 2.09693 | + | 0.445717i | 0.937776 | + | 0.199331i | 0.651355 | − | 0.758773i | \(-0.274201\pi\) |
0.286421 | + | 0.958104i | \(0.407534\pi\) | |||||||
\(6\) | −0.649815 | − | 1.99992i | −0.265286 | − | 0.816465i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.92429 | − | 1.39808i | 0.680340 | − | 0.494296i | ||||
\(9\) | 4.58902 | + | 5.09662i | 1.52967 | + | 1.69887i | ||||
\(10\) | 0.717891 | + | 1.24342i | 0.227017 | + | 0.393205i | ||||
\(11\) | 3.25662 | − | 0.628009i | 0.981909 | − | 0.189352i | ||||
\(12\) | −2.43559 | + | 4.21857i | −0.703094 | + | 1.21779i | ||||
\(13\) | −0.781276 | + | 2.40452i | −0.216687 | + | 0.666894i | 0.782343 | + | 0.622848i | \(0.214025\pi\) |
−0.999030 | + | 0.0440455i | \(0.985975\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.44548 | − | 3.95637i | −1.40602 | − | 1.02153i | ||||
\(16\) | −1.47687 | − | 0.313918i | −0.369217 | − | 0.0784795i | ||||
\(17\) | 1.19836 | − | 1.33091i | 0.290645 | − | 0.322794i | −0.580085 | − | 0.814556i | \(-0.696981\pi\) |
0.870729 | + | 0.491762i | \(0.163647\pi\) | |||||||
\(18\) | −0.480122 | + | 4.56806i | −0.113166 | + | 1.07670i | ||||
\(19\) | −0.703205 | − | 6.69055i | −0.161326 | − | 1.53492i | −0.713183 | − | 0.700978i | \(-0.752747\pi\) |
0.551857 | − | 0.833939i | \(-0.313920\pi\) | |||||||
\(20\) | 1.02778 | − | 3.16317i | 0.229818 | − | 0.707306i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.77201 | + | 1.33944i | 0.377795 | + | 0.285569i | ||||
\(23\) | 1.58214 | − | 2.74035i | 0.329900 | − | 0.571403i | −0.652592 | − | 0.757709i | \(-0.726318\pi\) |
0.982492 | + | 0.186307i | \(0.0596518\pi\) | |||||||
\(24\) | −7.30493 | + | 1.55271i | −1.49111 | + | 0.316946i | ||||
\(25\) | −0.369268 | − | 0.164409i | −0.0738535 | − | 0.0328817i | ||||
\(26\) | −1.54690 | + | 0.688722i | −0.303371 | + | 0.135070i | ||||
\(27\) | −3.74337 | − | 11.5209i | −0.720412 | − | 2.21720i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.747669 | + | 0.543213i | 0.138839 | + | 0.100872i | 0.655037 | − | 0.755597i | \(-0.272653\pi\) |
−0.516198 | + | 0.856469i | \(0.672653\pi\) | |||||||
\(30\) | −0.471218 | − | 4.48334i | −0.0860322 | − | 0.818541i | ||||
\(31\) | 2.93619 | − | 0.624106i | 0.527355 | − | 0.112093i | 0.0634623 | − | 0.997984i | \(-0.479786\pi\) |
0.463892 | + | 0.885892i | \(0.346452\pi\) | |||||||
\(32\) | −2.88417 | − | 4.99553i | −0.509854 | − | 0.883092i | ||||
\(33\) | −10.1431 | − | 2.35757i | −1.76568 | − | 0.410401i | ||||
\(34\) | 1.19946 | 0.205705 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 8.60800 | − | 6.25408i | 1.43467 | − | 1.04235i | ||||
\(37\) | −1.37688 | + | 0.613025i | −0.226357 | + | 0.100781i | −0.516782 | − | 0.856117i | \(-0.672870\pi\) |
0.290425 | + | 0.956898i | \(0.406203\pi\) | |||||||
\(38\) | 3.01486 | − | 3.34834i | 0.489075 | − | 0.543172i | ||||
\(39\) | 5.31167 | − | 5.89921i | 0.850548 | − | 0.944630i | ||||
\(40\) | 4.65826 | − | 2.07399i | 0.736536 | − | 0.327927i | ||||
\(41\) | 4.49897 | − | 3.26870i | 0.702622 | − | 0.510485i | −0.178163 | − | 0.984001i | \(-0.557016\pi\) |
0.880785 | + | 0.473516i | \(0.157016\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.42985 | −1.28554 | −0.642770 | − | 0.766059i | \(-0.722215\pi\) | ||||
−0.642770 | + | 0.766059i | \(0.722215\pi\) | |||||||
\(44\) | −0.440857 | − | 5.12663i | −0.0664617 | − | 0.772869i | ||||
\(45\) | 7.35120 | + | 12.7327i | 1.09585 | + | 1.89807i | ||||
\(46\) | 2.07295 | − | 0.440619i | 0.305640 | − | 0.0649657i | ||||
\(47\) | 0.459686 | + | 4.37362i | 0.0670520 | + | 0.637957i | 0.975506 | + | 0.219973i | \(0.0705968\pi\) |
−0.908454 | + | 0.417985i | \(0.862737\pi\) | |||||||
\(48\) | 3.83525 | + | 2.78647i | 0.553570 | + | 0.402192i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −0.0836570 | − | 0.257470i | −0.0118309 | − | 0.0364117i | ||||
\(51\) | −5.13694 | + | 2.28711i | −0.719316 | + | 0.320260i | ||||
\(52\) | 3.58334 | + | 1.59541i | 0.496920 | + | 0.221243i | ||||
\(53\) | −0.652836 | + | 0.138765i | −0.0896739 | + | 0.0190608i | −0.252530 | − | 0.967589i | \(-0.581263\pi\) |
0.162856 | + | 0.986650i | \(0.447929\pi\) | |||||||
\(54\) | 4.05657 | − | 7.02619i | 0.552029 | − | 0.956143i | ||||
\(55\) | 7.10883 | + | 0.134639i | 0.958555 | + | 0.0181547i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.52722 | + | 20.0887i | −0.864551 | + | 2.66081i | ||||
\(58\) | 0.0646986 | + | 0.615566i | 0.00849535 | + | 0.0808278i | ||||
\(59\) | −0.0385041 | + | 0.366342i | −0.00501281 | + | 0.0476937i | −0.996742 | − | 0.0806516i | \(-0.974300\pi\) |
0.991730 | + | 0.128345i | \(0.0409666\pi\) | |||||||
\(60\) | −6.98755 | + | 7.76046i | −0.902089 | + | 1.00187i | ||||
\(61\) | 4.90197 | + | 1.04195i | 0.627633 | + | 0.133408i | 0.510738 | − | 0.859737i | \(-0.329372\pi\) |
0.116896 | + | 0.993144i | \(0.462706\pi\) | |||||||
\(62\) | 1.62647 | + | 1.18170i | 0.206562 | + | 0.150076i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.260682 | − | 0.802296i | 0.0325852 | − | 0.100287i | ||||
\(65\) | −2.71002 | + | 4.69389i | −0.336136 | + | 0.582205i | ||||
\(66\) | −3.37217 | − | 6.10491i | −0.415086 | − | 0.751463i | ||||
\(67\) | 0.451065 | + | 0.781267i | 0.0551063 | + | 0.0954469i | 0.892263 | − | 0.451517i | \(-0.149117\pi\) |
−0.837156 | + | 0.546964i | \(0.815784\pi\) | |||||||
\(68\) | −1.85919 | − | 2.06484i | −0.225459 | − | 0.250398i | ||||
\(69\) | −8.03770 | + | 5.83973i | −0.967625 | + | 0.703021i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.59489 | − | 14.1416i | −0.545313 | − | 1.67830i | −0.720245 | − | 0.693720i | \(-0.755971\pi\) |
0.174932 | − | 0.984580i | \(-0.444029\pi\) | |||||||
\(72\) | 15.9561 | + | 3.39157i | 1.88044 | + | 0.399701i | ||||
\(73\) | 0.840216 | − | 7.99413i | 0.0983399 | − | 0.935642i | −0.828450 | − | 0.560062i | \(-0.810777\pi\) |
0.926790 | − | 0.375579i | \(-0.122556\pi\) | |||||||
\(74\) | −0.922155 | − | 0.410570i | −0.107198 | − | 0.0477278i | ||||
\(75\) | 0.849220 | + | 0.943154i | 0.0980595 | + | 0.108906i | ||||
\(76\) | −10.4372 | −1.19723 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 5.31654 | 0.601980 | ||||||||
\(79\) | 2.71445 | + | 3.01470i | 0.305399 | + | 0.339180i | 0.876235 | − | 0.481884i | \(-0.160047\pi\) |
−0.570836 | + | 0.821064i | \(0.693381\pi\) | |||||||
\(80\) | −2.95697 | − | 1.31653i | −0.330600 | − | 0.147192i | ||||
\(81\) | −1.82507 | + | 17.3644i | −0.202786 | + | 1.92938i | ||||
\(82\) | 3.64308 | + | 0.774361i | 0.402311 | + | 0.0855139i | ||||
\(83\) | 1.25193 | + | 3.85305i | 0.137418 | + | 0.422928i | 0.995958 | − | 0.0898178i | \(-0.0286285\pi\) |
−0.858541 | + | 0.512745i | \(0.828628\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.10609 | − | 2.25670i | 0.336902 | − | 0.244774i | ||||
\(86\) | −3.77780 | − | 4.19568i | −0.407371 | − | 0.452431i | ||||
\(87\) | −1.45084 | − | 2.51293i | −0.155547 | − | 0.269415i | ||||
\(88\) | 5.38869 | − | 5.76150i | 0.574437 | − | 0.614178i | ||||
\(89\) | −4.15363 | + | 7.19431i | −0.440284 | + | 0.762595i | −0.997710 | − | 0.0676317i | \(-0.978456\pi\) |
0.557426 | + | 0.830227i | \(0.311789\pi\) | |||||||
\(90\) | −3.04284 | + | 9.36491i | −0.320744 | + | 0.987148i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −3.97163 | − | 2.88556i | −0.414071 | − | 0.300840i | ||||
\(93\) | −9.21896 | − | 1.95955i | −0.955962 | − | 0.203196i | ||||
\(94\) | −1.97082 | + | 2.18881i | −0.203274 | + | 0.225759i | ||||
\(95\) | 1.50752 | − | 14.3431i | 0.154668 | − | 1.47157i | ||||
\(96\) | 1.89314 | + | 18.0120i | 0.193218 | + | 1.83835i | ||||
\(97\) | −2.63154 | + | 8.09904i | −0.267192 | + | 0.822333i | 0.723988 | + | 0.689812i | \(0.242307\pi\) |
−0.991180 | + | 0.132520i | \(0.957693\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 18.1454 | + | 13.7158i | 1.82368 | + | 1.37849i | ||||
\(100\) | −0.313557 | + | 0.543097i | −0.0313557 | + | 0.0543097i | ||||
\(101\) | −3.93907 | + | 0.837275i | −0.391952 | + | 0.0833119i | −0.399672 | − | 0.916658i | \(-0.630876\pi\) |
0.00772007 | + | 0.999970i | \(0.497543\pi\) | |||||||
\(102\) | −3.44043 | − | 1.53178i | −0.340654 | − | 0.151669i | ||||
\(103\) | 16.1020 | − | 7.16907i | 1.58658 | − | 0.706390i | 0.591576 | − | 0.806249i | \(-0.298506\pi\) |
0.995002 | + | 0.0998598i | \(0.0318394\pi\) | |||||||
\(104\) | 1.85831 | + | 5.71929i | 0.182222 | + | 0.560822i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.361631 | − | 0.262741i | −0.0351248 | − | 0.0255196i | ||||
\(107\) | 1.61013 | + | 15.3193i | 0.155657 | + | 1.48098i | 0.741719 | + | 0.670711i | \(0.234011\pi\) |
−0.586062 | + | 0.810266i | \(0.699323\pi\) | |||||||
\(108\) | −18.3832 | + | 3.90746i | −1.76892 | + | 0.375996i | ||||
\(109\) | 9.46326 | + | 16.3908i | 0.906416 | + | 1.56996i | 0.819005 | + | 0.573786i | \(0.194526\pi\) |
0.0874110 | + | 0.996172i | \(0.472141\pi\) | |||||||
\(110\) | 3.11878 | + | 3.59852i | 0.297364 | + | 0.343106i | ||||
\(111\) | 4.73220 | 0.449161 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.35965 | + | 0.987844i | −0.127905 | + | 0.0929286i | −0.649898 | − | 0.760021i | \(-0.725189\pi\) |
0.521993 | + | 0.852950i | \(0.325189\pi\) | |||||||
\(114\) | −12.9236 | + | 5.75397i | −1.21041 | + | 0.538909i | ||||
\(115\) | 4.53907 | − | 5.04114i | 0.423270 | − | 0.470089i | ||||
\(116\) | 0.959397 | − | 1.06552i | 0.0890778 | − | 0.0989309i | ||||
\(117\) | −15.8402 | + | 7.05252i | −1.46443 | + | 0.652005i | ||||
\(118\) | −0.199590 | + | 0.145011i | −0.0183738 | + | 0.0133493i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −16.0100 | −1.46151 | ||||||||
\(121\) | 10.2112 | − | 4.09038i | 0.928292 | − | 0.371853i | ||||
\(122\) | 1.67821 | + | 2.90674i | 0.151938 | + | 0.263164i | ||||
\(123\) | −17.0788 | + | 3.63022i | −1.53995 | + | 0.327326i | ||||
\(124\) | −0.486799 | − | 4.63158i | −0.0437158 | − | 0.415928i | ||||
\(125\) | −9.37282 | − | 6.80975i | −0.838330 | − | 0.609082i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.42848 | + | 16.7071i | 0.481699 | + | 1.48252i | 0.836705 | + | 0.547654i | \(0.184479\pi\) |
−0.355006 | + | 0.934864i | \(0.615521\pi\) | |||||||
\(128\) | −10.0231 | + | 4.46259i | −0.885928 | + | 0.394441i | ||||
\(129\) | 24.1795 | + | 10.7654i | 2.12889 | + | 0.947843i | ||||
\(130\) | −3.55071 | + | 0.754727i | −0.311418 | + | 0.0661939i | ||||
\(131\) | 3.36278 | − | 5.82451i | 0.293808 | − | 0.508890i | −0.680899 | − | 0.732377i | \(-0.738411\pi\) |
0.974707 | + | 0.223487i | \(0.0717441\pi\) | |||||||
\(132\) | −5.28250 | + | 15.2679i | −0.459783 | + | 1.32890i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −0.186707 | + | 0.574624i | −0.0161290 | + | 0.0496400i | ||||
\(135\) | −2.71453 | − | 25.8270i | −0.233630 | − | 2.22284i | ||||
\(136\) | 0.445271 | − | 4.23647i | 0.0381817 | − | 0.363274i | ||||
\(137\) | 9.27925 | − | 10.3057i | 0.792780 | − | 0.880472i | −0.202322 | − | 0.979319i | \(-0.564849\pi\) |
0.995103 | + | 0.0988473i | \(0.0315156\pi\) | |||||||
\(138\) | −6.50859 | − | 1.38344i | −0.554048 | − | 0.117767i | ||||
\(139\) | 11.5453 | + | 8.38812i | 0.979256 | + | 0.711471i | 0.957542 | − | 0.288293i | \(-0.0930877\pi\) |
0.0217140 | + | 0.999764i | \(0.493088\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.26685 | − | 13.1320i | 0.359333 | − | 1.10591i | ||||
\(142\) | 4.97933 | − | 8.62446i | 0.417856 | − | 0.723749i | ||||
\(143\) | −1.03426 | + | 8.32127i | −0.0864893 | + | 0.695859i | ||||
\(144\) | −5.17745 | − | 8.96761i | −0.431454 | − | 0.747300i | ||||
\(145\) | 1.32569 | + | 1.47233i | 0.110093 | + | 0.122270i | ||||
\(146\) | 4.35535 | − | 3.16435i | 0.360451 | − | 0.261883i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.722575 | + | 2.22386i | 0.0593953 | + | 0.182800i | ||||
\(149\) | −2.56560 | − | 0.545336i | −0.210183 | − | 0.0446757i | 0.101617 | − | 0.994824i | \(-0.467598\pi\) |
−0.311799 | + | 0.950148i | \(0.600932\pi\) | |||||||
\(150\) | −0.0888490 | + | 0.845342i | −0.00725449 | + | 0.0690219i | ||||
\(151\) | −2.73113 | − | 1.21598i | −0.222257 | − | 0.0989550i | 0.292588 | − | 0.956239i | \(-0.405484\pi\) |
−0.514844 | + | 0.857284i | \(0.672150\pi\) | |||||||
\(152\) | −10.7071 | − | 11.8914i | −0.868460 | − | 0.964523i | ||||
\(153\) | 12.2824 | 0.992977 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 6.43516 | 0.516884 | ||||||||
\(156\) | −8.24076 | − | 9.15229i | −0.659789 | − | 0.732770i | ||||
\(157\) | −10.2817 | − | 4.57770i | −0.820567 | − | 0.365340i | −0.0468741 | − | 0.998901i | \(-0.514926\pi\) |
−0.773693 | + | 0.633561i | \(0.781593\pi\) | |||||||
\(158\) | −0.283997 | + | 2.70205i | −0.0225936 | + | 0.214964i | ||||
\(159\) | 2.04976 | + | 0.435689i | 0.162556 | + | 0.0345524i | ||||
\(160\) | −3.82131 | − | 11.7608i | −0.302101 | − | 0.929773i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −9.46045 | + | 6.87342i | −0.743283 | + | 0.540027i | ||||
\(163\) | −12.1802 | − | 13.5274i | −0.954023 | − | 1.05955i | −0.998167 | − | 0.0605250i | \(-0.980723\pi\) |
0.0441434 | − | 0.999025i | \(-0.485944\pi\) | |||||||
\(164\) | −4.31382 | − | 7.47175i | −0.336853 | − | 0.583446i | ||||
\(165\) | −20.2185 | − | 9.46460i | −1.57401 | − | 0.736818i | ||||
\(166\) | −1.35668 | + | 2.34984i | −0.105299 | + | 0.182383i | ||||
\(167\) | −6.15909 | + | 18.9557i | −0.476605 | + | 1.46684i | 0.367176 | + | 0.930151i | \(0.380325\pi\) |
−0.843781 | + | 0.536687i | \(0.819675\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.34590 | + | 3.88402i | 0.411223 | + | 0.298771i | ||||
\(170\) | 2.51518 | + | 0.534618i | 0.192906 | + | 0.0410033i | ||||
\(171\) | 30.8721 | − | 34.2870i | 2.36085 | − | 2.62199i | ||||
\(172\) | −1.36707 | + | 13.0068i | −0.104238 | + | 0.991758i | ||||
\(173\) | 0.626134 | + | 5.95726i | 0.0476041 | + | 0.452922i | 0.992197 | + | 0.124679i | \(0.0397900\pi\) |
−0.944593 | + | 0.328244i | \(0.893543\pi\) | |||||||
\(174\) | 0.600539 | − | 1.84827i | 0.0455267 | − | 0.140117i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −5.00675 | − | 0.0948260i | −0.377398 | − | 0.00714778i | ||||
\(177\) | 0.578284 | − | 1.00162i | 0.0434665 | − | 0.0752861i | ||||
\(178\) | −5.44216 | + | 1.15677i | −0.407907 | + | 0.0867034i | ||||
\(179\) | −1.47897 | − | 0.658482i | −0.110544 | − | 0.0492172i | 0.350720 | − | 0.936480i | \(-0.385937\pi\) |
−0.461263 | + | 0.887263i | \(0.652604\pi\) | |||||||
\(180\) | 20.8379 | − | 9.27764i | 1.55317 | − | 0.691515i | ||||
\(181\) | −0.749929 | − | 2.30804i | −0.0557418 | − | 0.171556i | 0.919309 | − | 0.393535i | \(-0.128748\pi\) |
−0.975051 | + | 0.221980i | \(0.928748\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.7298 | − | 9.24876i | −0.941016 | − | 0.683688i | ||||
\(184\) | −0.786727 | − | 7.48520i | −0.0579983 | − | 0.551817i | ||||
\(185\) | −3.16045 | + | 0.671775i | −0.232361 | + | 0.0493899i | ||||
\(186\) | −3.15614 | − | 5.46660i | −0.231419 | − | 0.400830i | ||||
\(187\) | 3.06678 | − | 5.08686i | 0.224265 | − | 0.371988i | ||||
\(188\) | 6.82279 | 0.497603 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 7.81436 | − | 5.67747i | 0.566914 | − | 0.411887i | ||||
\(191\) | 11.6029 | − | 5.16593i | 0.839554 | − | 0.373794i | 0.0585233 | − | 0.998286i | \(-0.481361\pi\) |
0.781031 | + | 0.624492i | \(0.214694\pi\) | |||||||
\(192\) | −1.77230 | + | 1.96834i | −0.127905 | + | 0.142053i | ||||
\(193\) | −1.17721 | + | 1.30742i | −0.0847374 | + | 0.0941104i | −0.784022 | − | 0.620733i | \(-0.786835\pi\) |
0.699285 | + | 0.714843i | \(0.253502\pi\) | |||||||
\(194\) | −5.21034 | + | 2.31979i | −0.374081 | + | 0.166551i | ||||
\(195\) | 13.7676 | − | 10.0027i | 0.985918 | − | 0.716311i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.903053 | −0.0643399 | −0.0321699 | − | 0.999482i | \(-0.510242\pi\) | ||||
−0.0321699 | + | 0.999482i | \(0.510242\pi\) | |||||||
\(198\) | 1.30521 | + | 15.1780i | 0.0927569 | + | 1.07865i | ||||
\(199\) | −7.81479 | − | 13.5356i | −0.553976 | − | 0.959515i | −0.997982 | − | 0.0634910i | \(-0.979777\pi\) |
0.444006 | − | 0.896024i | \(-0.353557\pi\) | |||||||
\(200\) | −0.940435 | + | 0.199896i | −0.0664988 | + | 0.0141348i | ||||
\(201\) | −0.296075 | − | 2.81696i | −0.0208835 | − | 0.198693i | ||||
\(202\) | −2.18200 | − | 1.58532i | −0.153525 | − | 0.111543i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 2.69583 | + | 8.29691i | 0.188746 | + | 0.580900i | ||||
\(205\) | 10.8910 | − | 4.84897i | 0.760657 | − | 0.338666i | ||||
\(206\) | 10.7842 | + | 4.80144i | 0.751372 | + | 0.334532i | ||||
\(207\) | 21.2270 | − | 4.51194i | 1.47538 | − | 0.313601i | ||||
\(208\) | 1.90866 | − | 3.30590i | 0.132342 | − | 0.229223i | ||||
\(209\) | −6.49180 | − | 21.3470i | −0.449047 | − | 1.47660i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.56378 | − | 14.0459i | 0.314184 | − | 0.966958i | −0.661905 | − | 0.749587i | \(-0.730252\pi\) |
0.976089 | − | 0.217371i | \(-0.0697480\pi\) | |||||||
\(212\) | 0.108236 | + | 1.02979i | 0.00743365 | + | 0.0707265i | ||||
\(213\) | −4.88006 | + | 46.4307i | −0.334376 | + | 3.18138i | ||||
\(214\) | −6.90312 | + | 7.66669i | −0.471888 | + | 0.524084i | ||||
\(215\) | −17.6768 | − | 3.75732i | −1.20555 | − | 0.256247i | ||||
\(216\) | −23.3105 | − | 16.9361i | −1.58608 | − | 1.15235i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −3.91708 | + | 12.0555i | −0.265298 | + | 0.816503i | ||||
\(219\) | −12.6190 | + | 21.8567i | −0.852713 | + | 1.47694i | ||||
\(220\) | 1.36058 | − | 10.9467i | 0.0917302 | − | 0.738026i | ||||
\(221\) | 2.26396 | + | 3.92129i | 0.152290 | + | 0.263774i | ||||
\(222\) | 2.12072 | + | 2.35530i | 0.142333 | + | 0.158077i | ||||
\(223\) | −1.49293 | + | 1.08468i | −0.0999743 | + | 0.0726356i | −0.636649 | − | 0.771153i | \(-0.719680\pi\) |
0.536675 | + | 0.843789i | \(0.319680\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.856647 | − | 2.63649i | −0.0571098 | − | 0.175766i | ||||
\(226\) | −1.10099 | − | 0.234022i | −0.0732367 | − | 0.0155669i | ||||
\(227\) | −2.29335 | + | 21.8197i | −0.152215 | + | 1.44823i | 0.605606 | + | 0.795765i | \(0.292931\pi\) |
−0.757821 | + | 0.652463i | \(0.773736\pi\) | |||||||
\(228\) | 29.9372 | + | 13.3289i | 1.98264 | + | 0.882729i | ||||
\(229\) | 13.5511 | + | 15.0500i | 0.895482 | + | 0.994533i | 1.00000 | 1.01247e-5i | \(3.22281e-6\pi\) | |
−0.104518 | + | 0.994523i | \(0.533330\pi\) | |||||||
\(230\) | 4.54323 | 0.299571 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.19819 | 0.144318 | ||||||||
\(233\) | 14.0936 | + | 15.6525i | 0.923304 | + | 1.02543i | 0.999598 | + | 0.0283473i | \(0.00902442\pi\) |
−0.0762945 | + | 0.997085i | \(0.524309\pi\) | |||||||
\(234\) | −10.6089 | − | 4.72338i | −0.693524 | − | 0.308777i | ||||
\(235\) | −0.985464 | + | 9.37606i | −0.0642846 | + | 0.611627i | ||||
\(236\) | 0.559001 | + | 0.118819i | 0.0363879 | + | 0.00773449i | ||||
\(237\) | −3.93597 | − | 12.1137i | −0.255668 | − | 0.786867i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −12.5370 | + | 9.10863i | −0.810948 | + | 0.589188i | −0.914105 | − | 0.405477i | \(-0.867106\pi\) |
0.103157 | + | 0.994665i | \(0.467106\pi\) | |||||||
\(240\) | 6.80027 | + | 7.55247i | 0.438956 | + | 0.487510i | ||||
\(241\) | 7.04241 | + | 12.1978i | 0.453641 | + | 0.785730i | 0.998609 | − | 0.0527271i | \(-0.0167913\pi\) |
−0.544967 | + | 0.838457i | \(0.683458\pi\) | |||||||
\(242\) | 6.61197 | + | 3.24920i | 0.425033 | + | 0.208866i | ||||
\(243\) | 9.23960 | − | 16.0035i | 0.592721 | − | 1.02662i | ||||
\(244\) | 2.40262 | − | 7.39450i | 0.153812 | − | 0.473384i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −9.46064 | − | 6.87356i | −0.603188 | − | 0.438242i | ||||
\(247\) | 16.6370 | + | 3.53629i | 1.05858 | + | 0.225009i | ||||
\(248\) | 4.77753 | − | 5.30599i | 0.303374 | − | 0.336931i | ||||
\(249\) | 1.32963 | − | 12.6506i | 0.0842620 | − | 0.801700i | ||||
\(250\) | −0.811065 | − | 7.71677i | −0.0512963 | − | 0.488051i | ||||
\(251\) | 0.332894 | − | 1.02454i | 0.0210121 | − | 0.0646686i | −0.940001 | − | 0.341173i | \(-0.889176\pi\) |
0.961013 | + | 0.276504i | \(0.0891759\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.43148 | − | 9.91790i | 0.215735 | − | 0.623533i | ||||
\(254\) | −5.88267 | + | 10.1891i | −0.369111 | + | 0.639320i | ||||
\(255\) | −11.7912 | + | 2.50630i | −0.738395 | + | 0.156951i | ||||
\(256\) | −8.25424 | − | 3.67502i | −0.515890 | − | 0.229689i | ||||
\(257\) | −11.9501 | + | 5.32053i | −0.745427 | + | 0.331885i | −0.744059 | − | 0.668114i | \(-0.767102\pi\) |
−0.00136767 | + | 0.999999i | \(0.500435\pi\) | |||||||
\(258\) | 5.47784 | + | 16.8591i | 0.341035 | + | 1.04960i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 6.80292 | + | 4.94261i | 0.421899 | + | 0.306528i | ||||
\(261\) | 0.662514 | + | 6.30340i | 0.0410086 | + | 0.390171i | ||||
\(262\) | 4.40598 | − | 0.936519i | 0.272202 | − | 0.0578584i | ||||
\(263\) | 4.78608 | + | 8.28973i | 0.295122 | + | 0.511167i | 0.975013 | − | 0.222146i | \(-0.0713062\pi\) |
−0.679891 | + | 0.733313i | \(0.737973\pi\) | |||||||
\(264\) | −22.8143 | + | 9.64417i | −1.40412 | + | 0.593557i | ||||
\(265\) | −1.43080 | −0.0878935 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 21.1015 | − | 15.3312i | 1.29139 | − | 0.938252i | ||||
\(268\) | 1.27860 | − | 0.569269i | 0.0781029 | − | 0.0347737i | ||||
\(269\) | 3.19077 | − | 3.54371i | 0.194545 | − | 0.216064i | −0.637978 | − | 0.770054i | \(-0.720229\pi\) |
0.832523 | + | 0.553991i | \(0.186896\pi\) | |||||||
\(270\) | 11.6380 | − | 12.9254i | 0.708269 | − | 0.786612i | ||||
\(271\) | 18.3187 | − | 8.15600i | 1.11278 | − | 0.495442i | 0.233793 | − | 0.972286i | \(-0.424886\pi\) |
0.878988 | + | 0.476845i | \(0.158220\pi\) | |||||||
\(272\) | −2.18762 | + | 1.58940i | −0.132644 | + | 0.0963713i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.28776 | 0.561094 | ||||||||
\(275\) | −1.30582 | − | 0.303513i | −0.0787437 | − | 0.0183025i | ||||
\(276\) | 7.70690 | + | 13.3487i | 0.463901 | + | 0.803500i | ||||
\(277\) | 11.3489 | − | 2.41228i | 0.681890 | − | 0.144940i | 0.146072 | − | 0.989274i | \(-0.453337\pi\) |
0.535818 | + | 0.844334i | \(0.320003\pi\) | |||||||
\(278\) | 0.999055 | + | 9.50537i | 0.0599193 | + | 0.570094i | ||||
\(279\) | 16.6550 | + | 12.1006i | 0.997111 | + | 0.724443i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.73256 | + | 11.4876i | 0.222666 | + | 0.685295i | 0.998520 | + | 0.0543830i | \(0.0173192\pi\) |
−0.775854 | + | 0.630912i | \(0.782681\pi\) | |||||||
\(282\) | 8.44819 | − | 3.76137i | 0.503082 | − | 0.223987i | ||||
\(283\) | −20.0918 | − | 8.94545i | −1.19433 | − | 0.531752i | −0.289361 | − | 0.957220i | \(-0.593443\pi\) |
−0.904973 | + | 0.425469i | \(0.860109\pi\) | |||||||
\(284\) | −22.5649 | + | 4.79631i | −1.33898 | + | 0.284609i | ||||
\(285\) | −22.6410 | + | 39.2154i | −1.34114 | + | 2.32292i | ||||
\(286\) | −4.60513 | + | 3.21438i | −0.272307 | + | 0.190070i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 12.2248 | − | 37.6240i | 0.720353 | − | 2.21702i | ||||
\(289\) | 1.44172 | + | 13.7170i | 0.0848071 | + | 0.806885i | ||||
\(290\) | −0.138700 | + | 1.31964i | −0.00814472 | + | 0.0774918i | ||||
\(291\) | 17.8911 | − | 19.8700i | 1.04879 | − | 1.16480i | ||||
\(292\) | −12.1982 | − | 2.59281i | −0.713848 | − | 0.151733i | ||||
\(293\) | 1.14654 | + | 0.833014i | 0.0669819 | + | 0.0486652i | 0.620772 | − | 0.783991i | \(-0.286819\pi\) |
−0.553790 | + | 0.832656i | \(0.686819\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.244025 | + | 0.751033i | −0.0142077 | + | 0.0437268i | ||||
\(296\) | −1.79246 | + | 3.10463i | −0.104184 | + | 0.180453i | ||||
\(297\) | −19.4260 | − | 35.1684i | −1.12721 | − | 2.04068i | ||||
\(298\) | −0.878343 | − | 1.52133i | −0.0508810 | − | 0.0881286i | ||||
\(299\) | 5.35314 | + | 5.94527i | 0.309580 | + | 0.343824i | ||||
\(300\) | 1.59295 | − | 1.15735i | 0.0919691 | − | 0.0668195i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −0.618734 | − | 1.90427i | −0.0356041 | − | 0.109578i | ||||
\(303\) | 12.3678 | + | 2.62885i | 0.710510 | + | 0.151024i | ||||
\(304\) | −1.06174 | + | 10.1018i | −0.0608951 | + | 0.579378i | ||||
\(305\) | 9.81469 | + | 4.36978i | 0.561988 | + | 0.250213i | ||||
\(306\) | 5.50433 | + | 6.11318i | 0.314662 | + | 0.349467i | ||||
\(307\) | −29.4646 | −1.68163 | −0.840817 | − | 0.541319i | \(-0.817925\pi\) | ||||
−0.840817 | + | 0.541319i | \(0.817925\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −55.3411 | −3.14825 | ||||||||
\(310\) | 2.88389 | + | 3.20289i | 0.163794 | + | 0.181912i | ||||
\(311\) | −24.5549 | − | 10.9325i | −1.39238 | − | 0.619928i | −0.432833 | − | 0.901474i | \(-0.642486\pi\) |
−0.959548 | + | 0.281546i | \(0.909153\pi\) | |||||||
\(312\) | 1.97364 | − | 18.7780i | 0.111736 | − | 1.06309i | ||||
\(313\) | −4.39452 | − | 0.934085i | −0.248393 | − | 0.0527976i | 0.0820323 | − | 0.996630i | \(-0.473859\pi\) |
−0.330426 | + | 0.943832i | \(0.607192\pi\) | |||||||
\(314\) | −2.32930 | − | 7.16884i | −0.131450 | − | 0.404561i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 5.09172 | − | 3.69935i | 0.286431 | − | 0.208105i | ||||
\(317\) | −7.32702 | − | 8.13748i | −0.411527 | − | 0.457046i | 0.501373 | − | 0.865231i | \(-0.332829\pi\) |
−0.912899 | + | 0.408185i | \(0.866162\pi\) | |||||||
\(318\) | 0.701741 | + | 1.21545i | 0.0393517 | + | 0.0681591i | ||||
\(319\) | 2.77602 | + | 1.29950i | 0.155427 | + | 0.0727580i | ||||
\(320\) | 0.904228 | − | 1.56617i | 0.0505479 | − | 0.0875515i | ||||
\(321\) | 14.9454 | − | 45.9971i | 0.834169 | − | 2.56731i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −9.74723 | − | 7.08177i | −0.542350 | − | 0.394040i | ||||
\(324\) | 26.4963 | + | 5.63197i | 1.47202 | + | 0.312887i | ||||
\(325\) | 0.683823 | − | 0.759463i | 0.0379317 | − | 0.0421274i | ||||
\(326\) | 1.27434 | − | 12.1245i | 0.0705791 | − | 0.671516i | ||||
\(327\) | −6.21160 | − | 59.0995i | −0.343502 | − | 3.26821i | ||||
\(328\) | 4.08744 | − | 12.5799i | 0.225691 | − | 0.694607i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −4.35016 | − | 14.3046i | −0.239468 | − | 0.787443i | ||||
\(331\) | −8.26132 | + | 14.3090i | −0.454083 | + | 0.786495i | −0.998635 | − | 0.0522322i | \(-0.983366\pi\) |
0.544552 | + | 0.838727i | \(0.316700\pi\) | |||||||
\(332\) | 6.14807 | − | 1.30681i | 0.337419 | − | 0.0717207i | ||||
\(333\) | −9.44286 | − | 4.20423i | −0.517466 | − | 0.230391i | ||||
\(334\) | −12.1948 | + | 5.42946i | −0.667268 | + | 0.297087i | ||||
\(335\) | 0.597628 | + | 1.83931i | 0.0326519 | + | 0.100492i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.80588 | + | 7.12439i | 0.534160 | + | 0.388090i | 0.821912 | − | 0.569615i | \(-0.192908\pi\) |
−0.287751 | + | 0.957705i | \(0.592908\pi\) | |||||||
\(338\) | 0.462601 | + | 4.40135i | 0.0251622 | + | 0.239402i | ||||
\(339\) | 5.16146 | − | 1.09710i | 0.280332 | − | 0.0595864i | ||||
\(340\) | −2.97826 | − | 5.15849i | −0.161519 | − | 0.279758i | ||||
\(341\) | 9.17011 | − | 3.87643i | 0.496590 | − | 0.209921i | ||||
\(342\) | 30.9004 | 1.67090 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −16.2215 | + | 11.7856i | −0.874605 | + | 0.635437i | ||||
\(345\) | −19.4574 | + | 8.66298i | −1.04755 | + | 0.466399i | ||||
\(346\) | −2.68443 | + | 2.98136i | −0.144316 | + | 0.160279i | ||||
\(347\) | −16.2499 | + | 18.0474i | −0.872342 | + | 0.968833i | −0.999735 | − | 0.0230188i | \(-0.992672\pi\) |
0.127393 | + | 0.991852i | \(0.459339\pi\) | |||||||
\(348\) | −4.11260 | + | 1.83105i | −0.220458 | + | 0.0981544i | ||||
\(349\) | −2.68497 | + | 1.95074i | −0.143723 | + | 0.104421i | −0.657323 | − | 0.753609i | \(-0.728311\pi\) |
0.513600 | + | 0.858030i | \(0.328311\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 30.6269 | 1.63474 | ||||||||
\(352\) | −12.5299 | − | 14.4573i | −0.667845 | − | 0.770575i | ||||
\(353\) | 10.1636 | + | 17.6039i | 0.540955 | + | 0.936962i | 0.998849 | + | 0.0479552i | \(0.0152705\pi\) |
−0.457894 | + | 0.889007i | \(0.651396\pi\) | |||||||
\(354\) | 0.757677 | − | 0.161049i | 0.0402701 | − | 0.00855967i | ||||
\(355\) | −3.33202 | − | 31.7020i | −0.176845 | − | 1.68257i | ||||
\(356\) | 10.4268 | + | 7.57553i | 0.552620 | + | 0.401502i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.335059 | − | 1.03121i | −0.0177084 | − | 0.0545009i | ||||
\(359\) | 26.5305 | − | 11.8121i | 1.40023 | − | 0.623421i | 0.438825 | − | 0.898573i | \(-0.355395\pi\) |
0.961401 | + | 0.275152i | \(0.0887282\pi\) | |||||||
\(360\) | 31.9472 | + | 14.2238i | 1.68376 | + | 0.749660i | ||||
\(361\) | −25.6841 | + | 5.45933i | −1.35180 | + | 0.287333i | ||||
\(362\) | 0.812674 | − | 1.40759i | 0.0427132 | − | 0.0739814i | ||||
\(363\) | −34.5127 | − | 1.30779i | −1.81145 | − | 0.0686410i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.32499 | − | 16.3886i | 0.278723 | − | 0.857821i | ||||
\(366\) | −1.10156 | − | 10.4806i | −0.0575795 | − | 0.547832i | ||||
\(367\) | −2.37894 | + | 22.6341i | −0.124180 | + | 1.18149i | 0.737969 | + | 0.674835i | \(0.235785\pi\) |
−0.862148 | + | 0.506656i | \(0.830881\pi\) | |||||||
\(368\) | −3.19686 | + | 3.55047i | −0.166648 | + | 0.185081i | ||||
\(369\) | 37.3052 | + | 7.92946i | 1.94203 | + | 0.412791i | ||||
\(370\) | −1.75070 | − | 1.27196i | −0.0910145 | − | 0.0661259i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −4.51852 | + | 13.9066i | −0.234274 | + | 0.721022i | ||||
\(373\) | 11.1206 | − | 19.2614i | 0.575802 | − | 0.997319i | −0.420151 | − | 0.907454i | \(-0.638023\pi\) |
0.995954 | − | 0.0898652i | \(-0.0286436\pi\) | |||||||
\(374\) | 3.90618 | − | 0.753271i | 0.201984 | − | 0.0389507i | ||||
\(375\) | 18.1878 | + | 31.5022i | 0.939215 | + | 1.62677i | ||||
\(376\) | 6.99924 | + | 7.77344i | 0.360958 | + | 0.400885i | ||||
\(377\) | −1.89030 | + | 1.37339i | −0.0973556 | + | 0.0707330i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10.3430 | + | 31.8325i | 0.531285 | + | 1.63513i | 0.751543 | + | 0.659685i | \(0.229310\pi\) |
−0.220258 | + | 0.975442i | \(0.570690\pi\) | |||||||
\(380\) | −21.8861 | − | 4.65202i | −1.12273 | − | 0.238644i | ||||
\(381\) | 5.76539 | − | 54.8540i | 0.295370 | − | 2.81025i | ||||
\(382\) | 7.77095 | + | 3.45985i | 0.397596 | + | 0.177021i | ||||
\(383\) | 4.11243 | + | 4.56731i | 0.210135 | + | 0.233379i | 0.838994 | − | 0.544141i | \(-0.183144\pi\) |
−0.628859 | + | 0.777520i | \(0.716478\pi\) | |||||||
\(384\) | 34.4486 | 1.75795 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.17829 | −0.0599733 | ||||||||
\(387\) | −38.6847 | − | 42.9637i | −1.96645 | − | 2.18397i | ||||
\(388\) | 12.0696 | + | 5.37374i | 0.612742 | + | 0.272810i | ||||
\(389\) | −0.773892 | + | 7.36309i | −0.0392379 | + | 0.373323i | 0.957229 | + | 0.289332i | \(0.0934333\pi\) |
−0.996467 | + | 0.0839908i | \(0.973233\pi\) | |||||||
\(390\) | 11.1484 | + | 2.36967i | 0.564522 | + | 0.119993i | ||||
\(391\) | −1.75119 | − | 5.38962i | −0.0885617 | − | 0.272565i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −17.0838 | + | 12.4121i | −0.861765 | + | 0.626109i | ||||
\(394\) | −0.404700 | − | 0.449465i | −0.0203885 | − | 0.0226437i | ||||
\(395\) | 4.34831 | + | 7.53150i | 0.218787 | + | 0.378951i | ||||
\(396\) | 24.1054 | − | 25.7731i | 1.21134 | − | 1.29515i | ||||
\(397\) | 8.90394 | − | 15.4221i | 0.446876 | − | 0.774012i | −0.551305 | − | 0.834304i | \(-0.685870\pi\) |
0.998181 | + | 0.0602921i | \(0.0192032\pi\) | |||||||
\(398\) | 3.23473 | − | 9.95549i | 0.162143 | − | 0.499024i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.493749 | + | 0.358729i | 0.0246874 | + | 0.0179365i | ||||
\(401\) | −25.1177 | − | 5.33893i | −1.25432 | − | 0.266614i | −0.467608 | − | 0.883936i | \(-0.654884\pi\) |
−0.786710 | + | 0.617322i | \(0.788218\pi\) | |||||||
\(402\) | 1.26937 | − | 1.40977i | 0.0633102 | − | 0.0703131i | ||||
\(403\) | −0.793297 | + | 7.54772i | −0.0395170 | + | 0.375979i | ||||
\(404\) | 0.653070 | + | 6.21354i | 0.0324914 | + | 0.309135i | ||||
\(405\) | −11.5667 | + | 35.5985i | −0.574752 | + | 1.76890i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.09899 | + | 2.86108i | −0.203179 | + | 0.141819i | ||||
\(408\) | −6.68741 | + | 11.5829i | −0.331076 | + | 0.573441i | ||||
\(409\) | 1.30832 | − | 0.278091i | 0.0646921 | − | 0.0137507i | −0.175452 | − | 0.984488i | \(-0.556139\pi\) |
0.240144 | + | 0.970737i | \(0.422805\pi\) | |||||||
\(410\) | 7.29415 | + | 3.24757i | 0.360232 | + | 0.160386i | ||||
\(411\) | −39.7769 | + | 17.7098i | −1.96205 | + | 0.873560i | ||||
\(412\) | −8.45022 | − | 26.0071i | −0.416312 | − | 1.28128i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 11.7585 | + | 8.54303i | 0.577897 | + | 0.419867i | ||||
\(415\) | 0.907848 | + | 8.63760i | 0.0445645 | + | 0.424003i | ||||
\(416\) | 14.2652 | − | 3.03216i | 0.699408 | − | 0.148664i | ||||
\(417\) | −22.4034 | − | 38.8039i | −1.09710 | − | 1.90023i | ||||
\(418\) | 7.71547 | − | 12.7976i | 0.377376 | − | 0.625953i | ||||
\(419\) | −37.4618 | −1.83013 | −0.915064 | − | 0.403310i | \(-0.867860\pi\) | ||||
−0.915064 | + | 0.403310i | \(0.867860\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.68374 | + | 4.85602i | −0.325746 | + | 0.236668i | −0.738623 | − | 0.674118i | \(-0.764524\pi\) |
0.412878 | + | 0.910787i | \(0.364524\pi\) | |||||||
\(422\) | 9.03611 | − | 4.02313i | 0.439871 | − | 0.195843i | ||||
\(423\) | −20.1811 | + | 22.4134i | −0.981241 | + | 1.08978i | ||||
\(424\) | −1.06224 | + | 1.17974i | −0.0515871 | + | 0.0572933i | ||||
\(425\) | −0.661329 | + | 0.294442i | −0.0320791 | + | 0.0142826i | ||||
\(426\) | −25.2963 | + | 18.3788i | −1.22561 | + | 0.890458i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 23.8980 | 1.15515 | ||||||||
\(429\) | 13.5934 | − | 22.5473i | 0.656294 | − | 1.08859i | ||||
\(430\) | −6.05171 | − | 10.4819i | −0.291840 | − | 0.505481i | ||||
\(431\) | −31.9428 | + | 6.78966i | −1.53863 | + | 0.327046i | −0.897719 | − | 0.440568i | \(-0.854777\pi\) |
−0.640912 | + | 0.767614i | \(0.721444\pi\) | |||||||
\(432\) | 1.91184 | + | 18.1900i | 0.0919836 | + | 0.875165i | ||||
\(433\) | 12.7786 | + | 9.28422i | 0.614102 | + | 0.446171i | 0.850856 | − | 0.525398i | \(-0.176084\pi\) |
−0.236754 | + | 0.971570i | \(0.576084\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.92226 | − | 5.91611i | −0.0921654 | − | 0.283656i | ||||
\(436\) | 26.8248 | − | 11.9432i | 1.28468 | − | 0.571975i | ||||
\(437\) | −19.4470 | − | 8.65837i | −0.930277 | − | 0.414186i | ||||
\(438\) | −16.5336 | + | 3.51433i | −0.790007 | + | 0.167921i | ||||
\(439\) | −10.3471 | + | 17.9217i | −0.493839 | + | 0.855354i | −0.999975 | − | 0.00709942i | \(-0.997740\pi\) |
0.506136 | + | 0.862454i | \(0.331073\pi\) | |||||||
\(440\) | 13.8677 | − | 9.67964i | 0.661118 | − | 0.461459i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.937107 | + | 2.88412i | −0.0445737 | + | 0.137184i | ||||
\(443\) | −3.14583 | − | 29.9306i | −0.149463 | − | 1.42205i | −0.770088 | − | 0.637938i | \(-0.779788\pi\) |
0.620625 | − | 0.784108i | \(-0.286879\pi\) | |||||||
\(444\) | 0.767421 | − | 7.30152i | 0.0364202 | − | 0.346515i | ||||
\(445\) | −11.9165 | + | 13.2346i | −0.564897 | + | 0.627381i | ||||
\(446\) | −1.20892 | − | 0.256963i | −0.0572438 | − | 0.0121676i | ||||
\(447\) | 6.66256 | + | 4.84063i | 0.315128 | + | 0.228954i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 11.2465 | − | 34.6132i | 0.530755 | − | 1.63350i | −0.221892 | − | 0.975071i | \(-0.571223\pi\) |
0.752647 | − | 0.658424i | \(-0.228777\pi\) | |||||||
\(450\) | 0.928321 | − | 1.60790i | 0.0437615 | − | 0.0757971i | ||||
\(451\) | 12.5987 | − | 13.4703i | 0.593250 | − | 0.634292i | ||||
\(452\) | 1.30369 | + | 2.25806i | 0.0613206 | + | 0.106210i | ||||
\(453\) | 6.28090 | + | 6.97565i | 0.295103 | + | 0.327745i | ||||
\(454\) | −11.8878 | + | 8.63700i | −0.557922 | + | 0.405354i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 15.5254 | + | 47.7821i | 0.727041 | + | 2.23760i | ||||
\(457\) | 9.57999 | + | 2.03629i | 0.448133 | + | 0.0952536i | 0.426450 | − | 0.904511i | \(-0.359764\pi\) |
0.0216834 | + | 0.999765i | \(0.493097\pi\) | |||||||
\(458\) | −1.41777 | + | 13.4892i | −0.0662482 | + | 0.630310i | ||||
\(459\) | −19.8192 | − | 8.82409i | −0.925082 | − | 0.411873i | ||||
\(460\) | −7.04210 | − | 7.82105i | −0.328340 | − | 0.364658i | ||||
\(461\) | 21.8596 | 1.01810 | 0.509052 | − | 0.860736i | \(-0.329996\pi\) | ||||
0.509052 | + | 0.860736i | \(0.329996\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.75889 | 0.314112 | 0.157056 | − | 0.987590i | \(-0.449800\pi\) | ||||
0.157056 | + | 0.987590i | \(0.449800\pi\) | |||||||
\(464\) | −0.933684 | − | 1.03696i | −0.0433452 | − | 0.0481397i | ||||
\(465\) | −18.4581 | − | 8.21809i | −0.855975 | − | 0.381105i | ||||
\(466\) | −1.47453 | + | 14.0293i | −0.0683065 | + | 0.649893i | ||||
\(467\) | −29.3671 | − | 6.24217i | −1.35895 | − | 0.288853i | −0.529914 | − | 0.848051i | \(-0.677776\pi\) |
−0.829034 | + | 0.559198i | \(0.811109\pi\) | |||||||
\(468\) | 8.31283 | + | 25.5843i | 0.384261 | + | 1.18263i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −5.10826 | + | 3.71136i | −0.235626 | + | 0.171192i | ||||
\(471\) | 23.6452 | + | 26.2606i | 1.08951 | + | 1.21003i | ||||
\(472\) | 0.438083 | + | 0.758782i | 0.0201644 | + | 0.0349258i | ||||
\(473\) | −27.4529 | + | 5.29402i | −1.26228 | + | 0.243419i | ||||
\(474\) | 4.26528 | − | 7.38768i | 0.195911 | − | 0.339328i | ||||
\(475\) | −0.840312 | + | 2.58622i | −0.0385562 | + | 0.118664i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.70311 | − | 2.69046i | −0.169554 | − | 0.123188i | ||||
\(478\) | −10.1519 | − | 2.15785i | −0.464337 | − | 0.0986980i | ||||
\(479\) | 4.01715 | − | 4.46149i | 0.183548 | − | 0.203851i | −0.644348 | − | 0.764733i | \(-0.722871\pi\) |
0.827896 | + | 0.560882i | \(0.189538\pi\) | |||||||
\(480\) | −4.05848 | + | 38.6138i | −0.185243 | + | 1.76247i | ||||
\(481\) | −0.398310 | − | 3.78967i | −0.0181614 | − | 0.172794i | ||||
\(482\) | −2.91503 | + | 8.97153i | −0.132776 | + | 0.408642i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.65528 | − | 16.4187i | −0.211604 | − | 0.746303i | ||||
\(485\) | −9.12803 | + | 15.8102i | −0.414483 | + | 0.717905i | ||||
\(486\) | 12.1059 | − | 2.57318i | 0.549134 | − | 0.116722i | ||||
\(487\) | 5.81675 | + | 2.58978i | 0.263582 | + | 0.117354i | 0.534273 | − | 0.845312i | \(-0.320585\pi\) |
−0.270691 | + | 0.962666i | \(0.587252\pi\) | |||||||
\(488\) | 10.8896 | − | 4.84834i | 0.492947 | − | 0.219474i | ||||
\(489\) | 17.6613 | + | 54.3559i | 0.798671 | + | 2.45806i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −10.0131 | − | 7.27496i | −0.451886 | − | 0.328314i | 0.338454 | − | 0.940983i | \(-0.390096\pi\) |
−0.790340 | + | 0.612669i | \(0.790096\pi\) | |||||||
\(492\) | 2.83155 | + | 26.9404i | 0.127656 | + | 1.21457i | ||||
\(493\) | 1.61895 | − | 0.344118i | 0.0729137 | − | 0.0154983i | ||||
\(494\) | 5.69571 | + | 9.86527i | 0.256262 | + | 0.443859i | ||||
\(495\) | 31.9363 | + | 36.8489i | 1.43543 | + | 1.65623i | ||||
\(496\) | −4.53228 | −0.203505 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 6.89229 | − | 5.00754i | 0.308851 | − | 0.224393i | ||||
\(499\) | −13.0451 | + | 5.80806i | −0.583979 | + | 0.260004i | −0.677391 | − | 0.735623i | \(-0.736889\pi\) |
0.0934116 | + | 0.995628i | \(0.470223\pi\) | |||||||
\(500\) | −12.0271 | + | 13.3574i | −0.537866 | + | 0.597361i | ||||
\(501\) | 41.8739 | − | 46.5057i | 1.87079 | − | 2.07772i | ||||
\(502\) | 0.659118 | − | 0.293458i | 0.0294179 | − | 0.0130977i | ||||
\(503\) | 4.79402 | − | 3.48306i | 0.213755 | − | 0.155302i | −0.475756 | − | 0.879577i | \(-0.657826\pi\) |
0.689511 | + | 0.724275i | \(0.257826\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.63314 | −0.384170 | ||||||||
\(506\) | 6.47411 | − | 2.73676i | 0.287809 | − | 0.121664i | ||||
\(507\) | −10.3736 | − | 17.9677i | −0.460709 | − | 0.797972i | ||||
\(508\) | 26.6585 | − | 5.66644i | 1.18278 | − | 0.251408i | ||||
\(509\) | 3.22716 | + | 30.7044i | 0.143041 | + | 1.36095i | 0.796800 | + | 0.604244i | \(0.206525\pi\) |
−0.653758 | + | 0.756703i | \(0.726809\pi\) | |||||||
\(510\) | −6.53162 | − | 4.74550i | −0.289225 | − | 0.210134i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 4.91089 | + | 15.1142i | 0.217033 | + | 0.667958i | ||||
\(513\) | −74.4488 | + | 33.1467i | −3.28700 | + | 1.46346i | ||||
\(514\) | −8.00351 | − | 3.56339i | −0.353020 | − | 0.157174i | ||||
\(515\) | 36.9602 | − | 7.85613i | 1.62866 | − | 0.346182i | ||||
\(516\) | 20.5317 | − | 35.5619i | 0.903856 | − | 1.56552i | ||||
\(517\) | 4.24370 | + | 13.9545i | 0.186637 | + | 0.613720i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.81183 | − | 17.8870i | 0.255111 | − | 0.785151i | ||||
\(520\) | 1.34757 | + | 12.8212i | 0.0590947 | + | 0.562249i | ||||
\(521\) | 1.97422 | − | 18.7835i | 0.0864924 | − | 0.822920i | −0.862168 | − | 0.506623i | \(-0.830894\pi\) |
0.948660 | − | 0.316297i | \(-0.102440\pi\) | |||||||
\(522\) | −2.84040 | + | 3.15459i | −0.124321 | + | 0.138073i | ||||
\(523\) | −7.76853 | − | 1.65125i | −0.339694 | − | 0.0722043i | 0.0349061 | − | 0.999391i | \(-0.488887\pi\) |
−0.374600 | + | 0.927186i | \(0.622220\pi\) | |||||||
\(524\) | −8.44156 | − | 6.13315i | −0.368771 | − | 0.267928i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.98108 | + | 6.09712i | −0.0863790 | + | 0.265847i | ||||
\(527\) | 2.68798 | − | 4.65571i | 0.117090 | − | 0.202806i | ||||
\(528\) | 14.2399 | + | 6.66591i | 0.619711 | + | 0.290097i | ||||
\(529\) | 6.49365 | + | 11.2473i | 0.282333 | + | 0.489014i | ||||
\(530\) | −0.641209 | − | 0.712134i | −0.0278523 | − | 0.0309331i | ||||
\(531\) | −2.04380 | + | 1.48491i | −0.0886935 | + | 0.0644396i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4.34471 | + | 13.3716i | 0.188190 | + | 0.579190i | ||||
\(534\) | 17.0872 | + | 3.63199i | 0.739434 | + | 0.157171i | ||||
\(535\) | −3.45176 | + | 32.8413i | −0.149232 | + | 1.41985i | ||||
\(536\) | 1.96025 | + | 0.872762i | 0.0846701 | + | 0.0376976i | ||||
\(537\) | 3.40126 | + | 3.77748i | 0.146775 | + | 0.163010i | ||||
\(538\) | 3.19370 | 0.137690 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −40.2899 | −1.73380 | ||||||||
\(541\) | 5.08650 | + | 5.64913i | 0.218686 | + | 0.242875i | 0.842498 | − | 0.538699i | \(-0.181084\pi\) |
−0.623813 | + | 0.781574i | \(0.714417\pi\) | |||||||
\(542\) | 12.2688 | + | 5.46243i | 0.526991 | + | 0.234631i | ||||
\(543\) | −0.796472 | + | 7.57792i | −0.0341799 | + | 0.325200i | ||||
\(544\) | −10.1049 | − | 2.14786i | −0.433243 | − | 0.0920886i | ||||
\(545\) | 12.5381 | + | 38.5884i | 0.537075 | + | 1.65295i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −17.5548 | + | 12.7543i | −0.750590 | + | 0.545335i | −0.896010 | − | 0.444035i | \(-0.853547\pi\) |
0.145420 | + | 0.989370i | \(0.453547\pi\) | |||||||
\(548\) | −14.3962 | − | 15.9886i | −0.614977 | − | 0.683001i | ||||
\(549\) | 17.1848 | + | 29.7650i | 0.733431 | + | 1.27034i | ||||
\(550\) | −0.434133 | − | 0.785945i | −0.0185115 | − | 0.0335128i | ||||
\(551\) | 3.10863 | − | 5.38431i | 0.132432 | − | 0.229379i | ||||
\(552\) | −7.30247 | + | 22.4747i | −0.310814 | + | 0.956587i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 6.28660 | + | 4.56749i | 0.267092 | + | 0.194054i | ||||
\(555\) | 9.92310 | + | 2.10922i | 0.421212 | + | 0.0895314i | ||||
\(556\) | 14.8147 | − | 16.4534i | 0.628283 | − | 0.697779i | ||||
\(557\) | 4.24525 | − | 40.3909i | 0.179877 | − | 1.71142i | −0.416852 | − | 0.908974i | \(-0.636867\pi\) |
0.596729 | − | 0.802443i | \(-0.296467\pi\) | |||||||
\(558\) | 1.44122 | + | 13.7123i | 0.0610118 | + | 0.580489i | ||||
\(559\) | 6.58604 | − | 20.2697i | 0.278560 | − | 0.857319i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −15.2928 | + | 10.6743i | −0.645661 | + | 0.450670i | ||||
\(562\) | −4.04486 | + | 7.00590i | −0.170622 | + | 0.295526i | ||||
\(563\) | −22.9173 | + | 4.87122i | −0.965848 | + | 0.205297i | −0.663729 | − | 0.747973i | \(-0.731027\pi\) |
−0.302119 | + | 0.953270i | \(0.597694\pi\) | |||||||
\(564\) | −19.5700 | − | 8.71312i | −0.824045 | − | 0.366889i | ||||
\(565\) | −3.29139 | + | 1.46542i | −0.138470 | + | 0.0616508i | ||||
\(566\) | −4.55177 | − | 14.0089i | −0.191325 | − | 0.588838i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −28.6130 | − | 20.7886i | −1.20058 | − | 0.872269i | ||||
\(569\) | 1.16501 | + | 11.0843i | 0.0488396 | + | 0.464678i | 0.991422 | + | 0.130703i | \(0.0417234\pi\) |
−0.942582 | + | 0.333975i | \(0.891610\pi\) | |||||||
\(570\) | −29.6646 | + | 6.30541i | −1.24251 | + | 0.264104i | ||||
\(571\) | 3.07923 | + | 5.33338i | 0.128862 | + | 0.223195i | 0.923236 | − | 0.384234i | \(-0.125534\pi\) |
−0.794374 | + | 0.607429i | \(0.792201\pi\) | |||||||
\(572\) | 12.6715 | + | 2.94527i | 0.529823 | + | 0.123148i | ||||
\(573\) | −39.8780 | −1.66593 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.03477 | + | 0.751805i | −0.0431529 | + | 0.0313524i | ||||
\(576\) | 5.28527 | − | 2.35315i | 0.220219 | − | 0.0980480i | ||||
\(577\) | 9.69179 | − | 10.7638i | 0.403474 | − | 0.448104i | −0.506828 | − | 0.862047i | \(-0.669182\pi\) |
0.910303 | + | 0.413943i | \(0.135849\pi\) | |||||||
\(578\) | −6.18110 | + | 6.86481i | −0.257100 | + | 0.285538i | ||||
\(579\) | 5.04628 | − | 2.24675i | 0.209716 | − | 0.0933716i | ||||
\(580\) | 2.48671 | − | 1.80670i | 0.103255 | − | 0.0750192i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 17.9075 | 0.742288 | ||||||||
\(583\) | −2.03890 | + | 0.861892i | −0.0844425 | + | 0.0356959i | ||||
\(584\) | −9.55961 | − | 16.5577i | −0.395580 | − | 0.685164i | ||||
\(585\) | −36.3593 | + | 7.72840i | −1.50327 | + | 0.319530i | ||||
\(586\) | 0.0992149 | + | 0.943966i | 0.00409853 | + | 0.0389949i | ||||
\(587\) | 12.8285 | + | 9.32048i | 0.529491 | + | 0.384698i | 0.820167 | − | 0.572124i | \(-0.193880\pi\) |
−0.290676 | + | 0.956821i | \(0.593880\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.24035 | − | 19.2058i | −0.257129 | − | 0.791362i | ||||
\(590\) | −0.483161 | + | 0.215117i | −0.0198914 | + | 0.00885623i | ||||
\(591\) | 2.59025 | + | 1.15325i | 0.106549 | + | 0.0474385i | ||||
\(592\) | 2.22590 | − | 0.473131i | 0.0914841 | − | 0.0194456i | ||||
\(593\) | 11.4642 | − | 19.8566i | 0.470780 | − | 0.815415i | −0.528662 | − | 0.848833i | \(-0.677306\pi\) |
0.999441 | + | 0.0334179i | \(0.0106392\pi\) | |||||||
\(594\) | 8.79822 | − | 25.4292i | 0.360995 | − | 1.04337i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.25749 | + | 3.87015i | −0.0515087 | + | 0.158527i | ||||
\(597\) | 5.12956 | + | 48.8045i | 0.209939 | + | 1.99744i | ||||
\(598\) | −0.560068 | + | 5.32870i | −0.0229029 | + | 0.217907i | ||||
\(599\) | 8.79987 | − | 9.77325i | 0.359553 | − | 0.399324i | −0.536044 | − | 0.844190i | \(-0.680082\pi\) |
0.895597 | + | 0.444866i | \(0.146749\pi\) | |||||||
\(600\) | 2.95275 | + | 0.627627i | 0.120546 | + | 0.0256228i | ||||
\(601\) | 22.1286 | + | 16.0774i | 0.902645 | + | 0.655810i | 0.939144 | − | 0.343524i | \(-0.111621\pi\) |
−0.0364993 | + | 0.999334i | \(0.511621\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.91188 | + | 5.88415i | −0.0778576 | + | 0.239621i | ||||
\(604\) | −2.31910 | + | 4.01679i | −0.0943627 | + | 0.163441i | ||||
\(605\) | 23.2354 | − | 4.02595i | 0.944652 | − | 0.163678i | ||||
\(606\) | 4.23415 | + | 7.33376i | 0.172001 | + | 0.297914i | ||||
\(607\) | 31.3650 | + | 34.8344i | 1.27307 | + | 1.41389i | 0.865655 | + | 0.500641i | \(0.166902\pi\) |
0.407413 | + | 0.913244i | \(0.366431\pi\) | |||||||
\(608\) | −31.3946 | + | 22.8095i | −1.27322 | + | 0.925049i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.22350 | + | 6.84324i | 0.0900270 | + | 0.277075i | ||||
\(611\) | −10.8756 | − | 2.31168i | −0.439979 | − | 0.0935205i | ||||
\(612\) | 1.99184 | − | 18.9511i | 0.0805155 | − | 0.766054i | ||||
\(613\) | −18.6998 | − | 8.32567i | −0.755276 | − | 0.336270i | −0.00727967 | − | 0.999974i | \(-0.502317\pi\) |
−0.747996 | + | 0.663703i | \(0.768984\pi\) | |||||||
\(614\) | −13.2045 | − | 14.6650i | −0.532888 | − | 0.591832i | ||||
\(615\) | −37.4312 | −1.50937 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 44.1691 | 1.77818 | 0.889090 | − | 0.457733i | \(-0.151338\pi\) | ||||
0.889090 | + | 0.457733i | \(0.151338\pi\) | |||||||
\(618\) | −24.8009 | − | 27.5442i | −0.997639 | − | 1.10799i | ||||
\(619\) | −0.622658 | − | 0.277225i | −0.0250267 | − | 0.0111426i | 0.394185 | − | 0.919031i | \(-0.371027\pi\) |
−0.419212 | + | 0.907888i | \(0.637694\pi\) | |||||||
\(620\) | 1.04359 | − | 9.92909i | 0.0419116 | − | 0.398762i | ||||
\(621\) | −37.4939 | − | 7.96957i | −1.50458 | − | 0.319808i | ||||
\(622\) | −5.56287 | − | 17.1208i | −0.223051 | − | 0.686480i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −9.69651 | + | 7.04492i | −0.388171 | + | 0.282023i | ||||
\(625\) | −15.2666 | − | 16.9553i | −0.610663 | − | 0.678210i | ||||
\(626\) | −1.50448 | − | 2.60584i | −0.0601311 | − | 0.104150i | ||||
\(627\) | −8.64080 | + | 69.5205i | −0.345080 | + | 2.77638i | ||||
\(628\) | −8.73051 | + | 15.1217i | −0.348385 | + | 0.603421i | ||||
\(629\) | −0.834110 | + | 2.56713i | −0.0332582 | + | 0.102358i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 29.8299 | + | 21.6727i | 1.18751 | + | 0.862776i | 0.992999 | − | 0.118124i | \(-0.0376880\pi\) |
0.194511 | + | 0.980900i | \(0.437688\pi\) | |||||||
\(632\) | 9.43819 | + | 2.00615i | 0.375431 | + | 0.0798003i | ||||
\(633\) | −31.0278 | + | 34.4599i | −1.23325 | + | 1.36966i | ||||
\(634\) | 0.766584 | − | 7.29356i | 0.0304449 | − | 0.289664i | ||||
\(635\) | 3.93650 | + | 37.4533i | 0.156215 | + | 1.48629i | ||||
\(636\) | 1.00465 | − | 3.09201i | 0.0398371 | − | 0.122606i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0.597281 | + | 1.96404i | 0.0236466 | + | 0.0777570i | ||||
\(639\) | 50.9884 | − | 88.3144i | 2.01707 | − | 3.49367i | ||||
\(640\) | −23.0069 | + | 4.89026i | −0.909427 | + | 0.193305i | ||||
\(641\) | −18.7392 | − | 8.34324i | −0.740155 | − | 0.329538i | 0.00179052 | − | 0.999998i | \(-0.499430\pi\) |
−0.741946 | + | 0.670460i | \(0.766097\pi\) | |||||||
\(642\) | 29.5912 | − | 13.1749i | 1.16787 | − | 0.519970i | ||||
\(643\) | 2.35984 | + | 7.26283i | 0.0930629 | + | 0.286418i | 0.986744 | − | 0.162284i | \(-0.0518862\pi\) |
−0.893681 | + | 0.448703i | \(0.851886\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 45.9045 | + | 33.3516i | 1.80749 | + | 1.31322i | ||||
\(646\) | −0.843464 | − | 8.02503i | −0.0331857 | − | 0.315741i | ||||
\(647\) | 14.3620 | − | 3.05273i | 0.564627 | − | 0.120015i | 0.0832499 | − | 0.996529i | \(-0.473470\pi\) |
0.481377 | + | 0.876513i | \(0.340137\pi\) | |||||||
\(648\) | 20.7649 | + | 35.9658i | 0.815721 | + | 1.41287i | ||||
\(649\) | 0.104673 | + | 1.21722i | 0.00410877 | + | 0.0477801i | ||||
\(650\) | 0.684450 | 0.0268463 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −22.8473 | + | 16.5996i | −0.894770 | + | 0.650089i | ||||
\(653\) | 1.02960 | − | 0.458406i | 0.0402913 | − | 0.0179388i | −0.386492 | − | 0.922293i | \(-0.626313\pi\) |
0.426783 | + | 0.904354i | \(0.359647\pi\) | |||||||
\(654\) | 26.6311 | − | 29.5768i | 1.04136 | − | 1.15654i | ||||
\(655\) | 9.64761 | − | 10.7148i | 0.376963 | − | 0.418660i | ||||
\(656\) | −7.67049 | + | 3.41512i | −0.299482 | + | 0.133338i | ||||
\(657\) | 44.5988 | − | 32.4029i | 1.73996 | − | 1.26416i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 10.0215 | 0.390384 | 0.195192 | − | 0.980765i | \(-0.437467\pi\) | ||||
0.195192 | + | 0.980765i | \(0.437467\pi\) | |||||||
\(660\) | −17.8822 | + | 29.6612i | −0.696063 | + | 1.15456i | ||||
\(661\) | 7.86853 | + | 13.6287i | 0.306050 | + | 0.530095i | 0.977495 | − | 0.210960i | \(-0.0676591\pi\) |
−0.671444 | + | 0.741055i | \(0.734326\pi\) | |||||||
\(662\) | −10.8241 | + | 2.30074i | −0.420691 | + | 0.0894207i | ||||
\(663\) | −1.48604 | − | 14.1387i | −0.0577131 | − | 0.549103i | ||||
\(664\) | 7.79597 | + | 5.66410i | 0.302542 | + | 0.219810i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2.13927 | − | 6.58398i | −0.0828949 | − | 0.255124i | ||||
\(667\) | 2.67152 | − | 1.18944i | 0.103441 | − | 0.0460551i | ||||
\(668\) | 28.2488 | + | 12.5772i | 1.09298 | + | 0.486626i | ||||
\(669\) | 5.66742 | − | 1.20465i | 0.219115 | − | 0.0465744i | ||||
\(670\) | −0.647631 | + | 1.12173i | −0.0250202 | + | 0.0433362i | ||||
\(671\) | 16.6182 | + | 0.314744i | 0.641540 | + | 0.0121505i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.89226 | − | 30.4452i | 0.381319 | − | 1.17358i | −0.557797 | − | 0.829977i | \(-0.688353\pi\) |
0.939116 | − | 0.343601i | \(-0.111647\pi\) | |||||||
\(674\) | 0.848540 | + | 8.07332i | 0.0326845 | + | 0.310973i | ||||
\(675\) | −0.511830 | + | 4.86974i | −0.0197004 | + | 0.187436i | ||||
\(676\) | 6.85977 | − | 7.61855i | 0.263837 | − | 0.293021i | ||||
\(677\) | −15.0048 | − | 3.18937i | −0.576682 | − | 0.122578i | −0.0896681 | − | 0.995972i | \(-0.528581\pi\) |
−0.487014 | + | 0.873394i | \(0.661914\pi\) | |||||||
\(678\) | 2.85913 | + | 2.07728i | 0.109804 | + | 0.0797775i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 2.82197 | − | 8.68512i | 0.108218 | − | 0.333059i | ||||
\(681\) | 34.4432 | − | 59.6574i | 1.31987 | − | 2.28608i | ||||
\(682\) | 6.03892 | + | 2.82691i | 0.231242 | + | 0.108248i | ||||
\(683\) | −0.523820 | − | 0.907282i | −0.0200434 | − | 0.0347162i | 0.855830 | − | 0.517258i | \(-0.173047\pi\) |
−0.875873 | + | 0.482541i | \(0.839714\pi\) | |||||||
\(684\) | −47.8964 | − | 53.1943i | −1.83136 | − | 2.03394i | ||||
\(685\) | 24.0514 | − | 17.4743i | 0.918955 | − | 0.667660i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −19.6492 | − | 60.4739i | −0.749663 | − | 2.30722i | ||||
\(688\) | 12.4498 | + | 2.64628i | 0.474643 | + | 0.100889i | ||||
\(689\) | 0.176383 | − | 1.67817i | 0.00671965 | − | 0.0639332i | ||||
\(690\) | −13.0315 | − | 5.80198i | −0.496099 | − | 0.220877i | ||||
\(691\) | −19.5308 | − | 21.6911i | −0.742987 | − | 0.825170i | 0.246599 | − | 0.969118i | \(-0.420687\pi\) |
−0.989585 | + | 0.143947i | \(0.954020\pi\) | |||||||
\(692\) | 9.29326 | 0.353277 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −16.2648 | −0.617404 | ||||||||
\(695\) | 20.4709 | + | 22.7352i | 0.776505 | + | 0.862397i | ||||
\(696\) | −6.30513 | − | 2.80722i | −0.238995 | − | 0.106408i | ||||
\(697\) | 1.04104 | − | 9.90481i | 0.0394321 | − | 0.375172i | ||||
\(698\) | −2.17418 | − | 0.462135i | −0.0822937 | − | 0.0174921i | ||||
\(699\) | −20.4358 | − | 62.8950i | −0.772954 | − | 2.37891i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −10.3380 | + | 7.51100i | −0.390461 | + | 0.283687i | −0.765644 | − | 0.643264i | \(-0.777580\pi\) |
0.375183 | + | 0.926951i | \(0.377580\pi\) | |||||||
\(702\) | 13.7253 | + | 15.2435i | 0.518028 | + | 0.575329i | ||||
\(703\) | 5.06970 | + | 8.78098i | 0.191207 | + | 0.331181i | ||||
\(704\) | 0.345093 | − | 2.77649i | 0.0130062 | − | 0.104643i | ||||
\(705\) | 14.8004 | − | 25.6351i | 0.557417 | − | 0.965474i | ||||
\(706\) | −4.20697 | + | 12.9477i | −0.158332 | + | 0.487294i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −1.45166 | − | 1.05469i | −0.0545567 | − | 0.0396377i | ||||
\(709\) | −37.2390 | − | 7.91540i | −1.39854 | − | 0.297269i | −0.553891 | − | 0.832589i | \(-0.686858\pi\) |
−0.844649 | + | 0.535320i | \(0.820191\pi\) | |||||||
\(710\) | 14.2854 | − | 15.8655i | 0.536121 | − | 0.595423i | ||||
\(711\) | −2.90813 | + | 27.6690i | −0.109063 | + | 1.03767i | ||||
\(712\) | 2.06541 | + | 19.6511i | 0.0774046 | + | 0.736455i | ||||
\(713\) | 2.93520 | − | 9.03361i | 0.109924 | − | 0.338311i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.87770 | + | 16.9881i | −0.219814 | + | 0.635321i | ||||
\(716\) | −1.25585 | + | 2.17519i | −0.0469332 | + | 0.0812906i | ||||
\(717\) | 47.5923 | − | 10.1161i | 1.77737 | − | 0.377791i | ||||
\(718\) | 17.7686 | + | 7.91110i | 0.663119 | + | 0.295240i | ||||
\(719\) | 35.8743 | − | 15.9723i | 1.33789 | − | 0.595666i | 0.391941 | − | 0.919990i | \(-0.371804\pi\) |
0.945946 | + | 0.324325i | \(0.105137\pi\) | |||||||
\(720\) | −6.85975 | − | 21.1121i | −0.255648 | − | 0.786803i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −14.2274 | − | 10.3368i | −0.529491 | − | 0.384697i | ||||
\(723\) | −4.62258 | − | 43.9809i | −0.171915 | − | 1.63567i | ||||
\(724\) | −3.68280 | + | 0.782803i | −0.136870 | + | 0.0290926i | ||||
\(725\) | −0.186781 | − | 0.323514i | −0.00693687 | − | 0.0120150i | ||||
\(726\) | −14.8158 | − | 17.7636i | −0.549867 | − | 0.659271i | ||||
\(727\) | 28.4699 | 1.05589 | 0.527946 | − | 0.849278i | \(-0.322963\pi\) | ||||
0.527946 | + | 0.849278i | \(0.322963\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −4.56314 | + | 3.31531i | −0.169005 | + | 0.122789i | ||||
\(730\) | 10.5433 | − | 4.69417i | 0.390224 | − | 0.173739i | ||||
\(731\) | −10.1020 | + | 11.2194i | −0.373635 | + | 0.414964i | ||||
\(732\) | −16.3347 | + | 18.1415i | −0.603748 | + | 0.670531i | ||||
\(733\) | 2.73458 | − | 1.21751i | 0.101004 | − | 0.0449698i | −0.355613 | − | 0.934633i | \(-0.615728\pi\) |
0.456617 | + | 0.889664i | \(0.349061\pi\) | |||||||
\(734\) | −12.3315 | + | 8.95935i | −0.455163 | + | 0.330696i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −18.2527 | −0.672802 | ||||||||
\(737\) | 1.95959 | + | 2.26102i | 0.0721825 | + | 0.0832857i | ||||
\(738\) | 12.7715 | + | 22.1210i | 0.470127 | + | 0.814284i | ||||
\(739\) | 49.6242 | − | 10.5480i | 1.82546 | − | 0.388013i | 0.837971 | − | 0.545715i | \(-0.183742\pi\) |
0.987487 | + | 0.157702i | \(0.0504087\pi\) | |||||||
\(740\) | 0.523981 | + | 4.98534i | 0.0192619 | + | 0.183265i | ||||
\(741\) | −43.2041 | − | 31.3896i | −1.58714 | − | 1.15313i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −0.118625 | − | 0.365089i | −0.00435191 | − | 0.0133938i | 0.948857 | − | 0.315706i | \(-0.102241\pi\) |
−0.953209 | + | 0.302312i | \(0.902241\pi\) | |||||||
\(744\) | −20.4796 | + | 9.11810i | −0.750818 | + | 0.334286i | ||||
\(745\) | −5.13683 | − | 2.28707i | −0.188199 | − | 0.0837916i | ||||
\(746\) | 14.5704 | − | 3.09703i | 0.533460 | − | 0.113390i | ||||
\(747\) | −13.8924 | + | 24.0624i | −0.508297 | + | 0.880395i | ||||
\(748\) | −7.35141 | − | 5.55681i | −0.268794 | − | 0.203177i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −7.52839 | + | 23.1700i | −0.274898 | + | 0.846048i | ||||
\(751\) | 4.11392 | + | 39.1414i | 0.150119 | + | 1.42829i | 0.767210 | + | 0.641396i | \(0.221645\pi\) |
−0.617091 | + | 0.786892i | \(0.711689\pi\) | |||||||
\(752\) | 0.694062 | − | 6.60356i | 0.0253098 | − | 0.240807i | ||||
\(753\) | −2.26325 | + | 2.51360i | −0.0824775 | + | 0.0916006i | ||||
\(754\) | −1.53069 | − | 0.325358i | −0.0557444 | − | 0.0118488i | ||||
\(755\) | −5.18502 | − | 3.76714i | −0.188702 | − | 0.137100i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.51868 | − | 10.8294i | 0.127889 | − | 0.393600i | −0.866528 | − | 0.499129i | \(-0.833653\pi\) |
0.994416 | + | 0.105528i | \(0.0336534\pi\) | |||||||
\(758\) | −11.2084 | + | 19.4135i | −0.407107 | + | 0.705130i | ||||
\(759\) | −22.5084 | + | 24.0656i | −0.817002 | + | 0.873524i | ||||
\(760\) | −17.1518 | − | 29.7079i | −0.622163 | − | 1.07762i | ||||
\(761\) | 5.00620 | + | 5.55995i | 0.181475 | + | 0.201548i | 0.827018 | − | 0.562176i | \(-0.190036\pi\) |
−0.645543 | + | 0.763724i | \(0.723369\pi\) | |||||||
\(762\) | 29.8855 | − | 21.7131i | 1.08264 | − | 0.786582i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −6.08911 | − | 18.7403i | −0.220296 | − | 0.678002i | ||||
\(765\) | 25.7554 | + | 5.47449i | 0.931190 | + | 0.197931i | ||||
\(766\) | −0.430260 | + | 4.09365i | −0.0155459 | + | 0.147909i | ||||
\(767\) | −0.850795 | − | 0.378798i | −0.0307204 | − | 0.0136776i | ||||
\(768\) | 18.9826 | + | 21.0823i | 0.684976 | + | 0.760743i | ||||
\(769\) | 26.8378 | 0.967798 | 0.483899 | − | 0.875124i | \(-0.339220\pi\) | ||||
0.483899 | + | 0.875124i | \(0.339220\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 41.0714 | 1.47915 | ||||||||
\(772\) | 1.82637 | + | 2.02839i | 0.0657326 | + | 0.0730034i | ||||
\(773\) | −4.08154 | − | 1.81722i | −0.146803 | − | 0.0653609i | 0.332020 | − | 0.943272i | \(-0.392270\pi\) |
−0.478823 | + | 0.877911i | \(0.658936\pi\) | |||||||
\(774\) | 4.04736 | − | 38.5080i | 0.145479 | − | 1.38414i | ||||
\(775\) | −1.18685 | − | 0.252272i | −0.0426328 | − | 0.00906188i | ||||
\(776\) | 6.25926 | + | 19.2640i | 0.224694 | + | 0.691538i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.01155 | + | 2.91456i | −0.143821 | + | 0.104492i | ||||
\(779\) | −25.0331 | − | 27.8020i | −0.896903 | − | 0.996111i | ||||
\(780\) | −13.2010 | − | 22.8648i | −0.472671 | − | 0.818690i | ||||
\(781\) | −23.8449 | − | 43.1683i | −0.853237 | − | 1.54468i | ||||
\(782\) | 1.89771 | − | 3.28694i | 0.0678621 | − | 0.117541i | ||||
\(783\) | 3.45951 | − | 10.6473i | 0.123633 | − | 0.380503i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −19.5196 | − | 14.1818i | −0.696685 | − | 0.506171i | ||||
\(786\) | −13.8338 | − | 2.94046i | −0.493434 | − | 0.104883i | ||||
\(787\) | 9.02385 | − | 10.0220i | 0.321665 | − | 0.357246i | −0.560526 | − | 0.828137i | \(-0.689401\pi\) |
0.882191 | + | 0.470891i | \(0.156068\pi\) | |||||||
\(788\) | −0.146448 | + | 1.39336i | −0.00521700 | + | 0.0496364i | ||||
\(789\) | −3.14154 | − | 29.8898i | −0.111842 | − | 1.06410i | ||||
\(790\) | −1.79987 | + | 5.53944i | −0.0640366 | + | 0.197084i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 54.0930 | + | 1.02450i | 1.92211 | + | 0.0364041i | ||||
\(793\) | −6.33518 | + | 10.9728i | −0.224969 | + | 0.389657i | ||||
\(794\) | 11.6661 | − | 2.47970i | 0.414014 | − | 0.0880014i | ||||
\(795\) | 4.10401 | + | 1.82722i | 0.145554 | + | 0.0648049i | ||||
\(796\) | −22.1520 | + | 9.86272i | −0.785158 | + | 0.349575i | ||||
\(797\) | −16.2250 | − | 49.9354i | −0.574719 | − | 1.76880i | −0.637134 | − | 0.770753i | \(-0.719880\pi\) |
0.0624156 | − | 0.998050i | \(-0.480120\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.37177 | + | 4.62936i | 0.225417 | + | 0.163775i | ||||
\(800\) | 0.243723 | + | 2.31887i | 0.00861690 | + | 0.0819843i | ||||
\(801\) | −55.7277 | + | 11.8453i | −1.96904 | + | 0.418533i | ||||
\(802\) | −8.59913 | − | 14.8941i | −0.303646 | − | 0.525930i | ||||
\(803\) | −2.28412 | − | 26.5615i | −0.0806047 | − | 0.937336i | ||||
\(804\) | −4.39443 | −0.154980 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −4.11214 | + | 2.98764i | −0.144844 | + | 0.105235i | ||||
\(807\) | −13.6777 | + | 6.08971i | −0.481478 | + | 0.214368i | ||||
\(808\) | −6.40934 | + | 7.11830i | −0.225480 | + | 0.250421i | ||||
\(809\) | −0.863073 | + | 0.958540i | −0.0303440 | + | 0.0337005i | −0.758126 | − | 0.652108i | \(-0.773885\pi\) |
0.727782 | + | 0.685809i | \(0.240551\pi\) | |||||||
\(810\) | −22.9015 | + | 10.1964i | −0.804677 | + | 0.358265i | ||||
\(811\) | −27.6585 | + | 20.0951i | −0.971220 | + | 0.705633i | −0.955729 | − | 0.294247i | \(-0.904931\pi\) |
−0.0154910 | + | 0.999880i | \(0.504931\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −62.9596 | −2.20809 | ||||||||
\(814\) | −3.26095 | − | 0.757950i | −0.114296 | − | 0.0265661i | ||||
\(815\) | −19.5116 | − | 33.7950i | −0.683460 | − | 1.18379i | ||||
\(816\) | 8.30455 | − | 1.76519i | 0.290717 | − | 0.0617939i | ||||
\(817\) | 5.92791 | + | 56.4003i | 0.207391 | + | 1.97320i | ||||
\(818\) | 0.724728 | + | 0.526545i | 0.0253395 | + | 0.0184102i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −5.71550 | − | 17.5905i | −0.199594 | − | 0.614287i | ||||
\(821\) | 36.2312 | − | 16.1311i | 1.26448 | − | 0.562981i | 0.338643 | − | 0.940915i | \(-0.390032\pi\) |
0.925833 | + | 0.377934i | \(0.123365\pi\) | |||||||
\(822\) | −26.6403 | − | 11.8610i | −0.929188 | − | 0.413701i | ||||
\(823\) | 9.02551 | − | 1.91843i | 0.314609 | − | 0.0668723i | −0.0479008 | − | 0.998852i | \(-0.515253\pi\) |
0.362510 | + | 0.931980i | \(0.381920\pi\) | |||||||
\(824\) | 20.9620 | − | 36.3073i | 0.730247 | − | 1.26482i | ||||
\(825\) | 3.35790 | + | 2.53818i | 0.116907 | + | 0.0883681i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −7.94043 | + | 24.4381i | −0.276116 | + | 0.849797i | 0.712806 | + | 0.701361i | \(0.247424\pi\) |
−0.988922 | + | 0.148436i | \(0.952576\pi\) | |||||||
\(828\) | −3.51929 | − | 33.4838i | −0.122304 | − | 1.16364i | ||||
\(829\) | 1.14339 | − | 10.8786i | 0.0397115 | − | 0.377829i | −0.956559 | − | 0.291540i | \(-0.905832\pi\) |
0.996270 | − | 0.0862894i | \(-0.0275010\pi\) | |||||||
\(830\) | −3.89223 | + | 4.32276i | −0.135101 | + | 0.150045i | ||||
\(831\) | −35.6330 | − | 7.57403i | −1.23609 | − | 0.262740i | ||||
\(832\) | 1.72547 | + | 1.25363i | 0.0598200 | + | 0.0434618i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 9.27333 | − | 28.5404i | 0.321109 | − | 0.988272i | ||||
\(835\) | −21.3641 | + | 37.0037i | −0.739334 | + | 1.28056i | ||||
\(836\) | −33.9900 | + | 6.55465i | −1.17557 | + | 0.226697i | ||||
\(837\) | −18.1815 | − | 31.4913i | −0.628444 | − | 1.08850i | ||||
\(838\) | −16.7883 | − | 18.6453i | −0.579944 | − | 0.644093i | ||||
\(839\) | −28.1031 | + | 20.4181i | −0.970228 | + | 0.704912i | −0.955503 | − | 0.294980i | \(-0.904687\pi\) |
−0.0147243 | + | 0.999892i | \(0.504687\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.69756 | − | 26.7684i | −0.299916 | − | 0.923047i | ||||
\(842\) | −5.41222 | − | 1.15040i | −0.186517 | − | 0.0396455i | ||||
\(843\) | 3.96422 | − | 37.7170i | 0.136535 | − | 1.29904i | ||||
\(844\) | −20.9319 | − | 9.31948i | −0.720505 | − | 0.320790i | ||||
\(845\) | 9.47881 | + | 10.5273i | 0.326081 | + | 0.362149i | ||||
\(846\) | −20.1996 | −0.694478 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.00771 | 0.0346050 | ||||||||
\(849\) | 46.2060 | + | 51.3169i | 1.58578 | + | 1.76119i | ||||
\(850\) | −0.442921 | − | 0.197201i | −0.0151921 | − | 0.00676394i | ||||
\(851\) | −0.498511 | + | 4.74302i | −0.0170888 | + | 0.162589i | ||||
\(852\) | 70.8486 | + | 15.0593i | 2.42723 | + | 0.515924i | ||||
\(853\) | 6.37880 | + | 19.6319i | 0.218406 | + | 0.672185i | 0.998894 | + | 0.0470143i | \(0.0149706\pi\) |
−0.780488 | + | 0.625171i | \(0.785029\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 80.0191 | − | 58.1373i | 2.73659 | − | 1.98825i | ||||
\(856\) | 24.5160 | + | 27.2278i | 0.837941 | + | 0.930628i | ||||
\(857\) | −17.0756 | − | 29.5758i | −0.583291 | − | 1.01029i | −0.995086 | − | 0.0990131i | \(-0.968431\pi\) |
0.411795 | − | 0.911276i | \(-0.364902\pi\) | |||||||
\(858\) | 17.3140 | − | 3.33884i | 0.591089 | − | 0.113986i | ||||
\(859\) | −16.7246 | + | 28.9679i | −0.570637 | + | 0.988373i | 0.425863 | + | 0.904787i | \(0.359970\pi\) |
−0.996501 | + | 0.0835852i | \(0.973363\pi\) | |||||||
\(860\) | −8.66399 | + | 26.6650i | −0.295440 | + | 0.909269i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −17.6944 | − | 12.8557i | −0.602673 | − | 0.437868i | ||||
\(863\) | 33.2903 | + | 7.07607i | 1.13321 | + | 0.240872i | 0.736084 | − | 0.676890i | \(-0.236673\pi\) |
0.397130 | + | 0.917762i | \(0.370006\pi\) | |||||||
\(864\) | −46.7565 | + | 51.9283i | −1.59069 | + | 1.76664i | ||||
\(865\) | −1.34229 | + | 12.7711i | −0.0456393 | + | 0.434229i | ||||
\(866\) | 1.10578 | + | 10.5208i | 0.0375761 | + | 0.357512i | ||||
\(867\) | 13.3822 | − | 41.1861i | 0.454483 | − | 1.39875i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 10.7332 | + | 8.11305i | 0.364099 | + | 0.275216i | ||||
\(870\) | 2.08309 | − | 3.60802i | 0.0706235 | − | 0.122323i | ||||
\(871\) | −2.23098 | + | 0.474209i | −0.0755938 | + | 0.0160680i | ||||
\(872\) | 41.1258 | + | 18.3104i | 1.39270 | + | 0.620068i | ||||
\(873\) | −53.3539 | + | 23.7547i | −1.80575 | + | 0.803974i | ||||
\(874\) | −4.40569 | − | 13.5593i | −0.149025 | − | 0.458651i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 31.6773 | + | 23.0149i | 1.07028 | + | 0.777602i | ||||
\(877\) | −0.822332 | − | 7.82396i | −0.0277682 | − | 0.264196i | −0.999594 | − | 0.0284960i | \(-0.990928\pi\) |
0.971826 | − | 0.235701i | \(-0.0757384\pi\) | |||||||
\(878\) | −13.5569 | + | 2.88161i | −0.457524 | + | 0.0972497i | ||||
\(879\) | −2.22485 | − | 3.85356i | −0.0750425 | − | 0.129977i | ||||
\(880\) | −10.4565 | − | 2.43043i | −0.352490 | − | 0.0819299i | ||||
\(881\) | −13.3289 | −0.449063 | −0.224531 | − | 0.974467i | \(-0.572085\pi\) | ||||
−0.224531 | + | 0.974467i | \(0.572085\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 13.8340 | − | 10.0510i | 0.465552 | − | 0.338243i | −0.330153 | − | 0.943927i | \(-0.607100\pi\) |
0.795705 | + | 0.605684i | \(0.207100\pi\) | |||||||
\(884\) | 6.41748 | − | 2.85724i | 0.215843 | − | 0.0960995i | ||||
\(885\) | 1.65906 | − | 1.84257i | 0.0557687 | − | 0.0619374i | ||||
\(886\) | 13.4872 | − | 14.9790i | 0.453110 | − | 0.503230i | ||||
\(887\) | 24.2258 | − | 10.7860i | 0.813424 | − | 0.362159i | 0.0425074 | − | 0.999096i | \(-0.486465\pi\) |
0.770916 | + | 0.636937i | \(0.219799\pi\) | |||||||
\(888\) | 9.10614 | − | 6.61600i | 0.305582 | − | 0.222018i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −11.9274 | −0.399808 | ||||||||
\(891\) | 4.96143 | + | 57.6955i | 0.166214 | + | 1.93287i | ||||
\(892\) | 1.43149 | + | 2.47942i | 0.0479299 | + | 0.0830170i | ||||
\(893\) | 28.9386 | − | 6.15110i | 0.968394 | − | 0.205839i | ||||
\(894\) | 0.576537 | + | 5.48538i | 0.0192823 | + | 0.183459i | ||||
\(895\) | −2.80781 | − | 2.03999i | −0.0938548 | − | 0.0681895i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −7.76209 | − | 23.8892i | −0.259168 | − | 0.797639i | ||||
\(898\) | 22.2676 | − | 9.91418i | 0.743080 | − | 0.330841i | ||||
\(899\) | 2.53432 | + | 1.12835i | 0.0845243 | + | 0.0376326i | ||||
\(900\) | −4.20688 | + | 0.894199i | −0.140229 | + | 0.0298066i | ||||
\(901\) | −0.597649 | + | 1.03516i | −0.0199106 | + | 0.0344861i | ||||
\(902\) | 12.3505 | + | 0.233913i | 0.411225 | + | 0.00778846i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.23528 | + | 3.80180i | −0.0410848 | + | 0.126446i | ||||
\(905\) | −0.543816 | − | 5.17407i | −0.0180771 | − | 0.171992i | ||||
\(906\) | −0.657135 | + | 6.25222i | −0.0218318 | + | 0.207716i | ||||
\(907\) | 5.92352 | − | 6.57873i | 0.196687 | − | 0.218443i | −0.636731 | − | 0.771086i | \(-0.719714\pi\) |
0.833418 | + | 0.552643i | \(0.186381\pi\) | |||||||
\(908\) | 33.2947 | + | 7.07702i | 1.10492 | + | 0.234859i | ||||
\(909\) | −22.3437 | − | 16.2337i | −0.741094 | − | 0.538436i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −17.2740 | + | 53.1639i | −0.572313 | + | 1.76140i | 0.0728381 | + | 0.997344i | \(0.476794\pi\) |
−0.645151 | + | 0.764055i | \(0.723206\pi\) | |||||||
\(912\) | 15.9460 | − | 27.6194i | 0.528026 | − | 0.914568i | ||||
\(913\) | 6.49683 | + | 11.7617i | 0.215014 | + | 0.389256i | ||||
\(914\) | 3.27974 | + | 5.68068i | 0.108484 | + | 0.187900i | ||||
\(915\) | −22.5713 | − | 25.0679i | −0.746183 | − | 0.828720i | ||||
\(916\) | 25.4189 | − | 18.4679i | 0.839865 | − | 0.610197i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −4.49001 | − | 13.8188i | −0.148192 | − | 0.456090i | ||||
\(919\) | −47.3204 | − | 10.0583i | −1.56096 | − | 0.331792i | −0.655156 | − | 0.755494i | \(-0.727397\pi\) |
−0.905802 | + | 0.423702i | \(0.860730\pi\) | |||||||
\(920\) | 1.68657 | − | 16.0466i | 0.0556045 | − | 0.529041i | ||||
\(921\) | 84.5141 | + | 37.6281i | 2.78483 | + | 1.23989i | ||||
\(922\) | 9.79631 | + | 10.8799i | 0.322624 | + | 0.358311i | ||||
\(923\) | 37.5937 | 1.23741 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.609223 | 0.0200311 | ||||||||
\(926\) | 3.02897 | + | 3.36401i | 0.0995382 | + | 0.110548i | ||||
\(927\) | 110.430 | + | 49.1668i | 3.62701 | + | 1.61485i | ||||
\(928\) | 0.557233 | − | 5.30172i | 0.0182921 | − | 0.174037i | ||||
\(929\) | 0.845408 | + | 0.179697i | 0.0277369 | + | 0.00589567i | 0.221759 | − | 0.975101i | \(-0.428820\pi\) |
−0.194022 | + | 0.980997i | \(0.562153\pi\) | |||||||
\(930\) | −4.18166 | − | 12.8698i | −0.137122 | − | 0.422018i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 26.4366 | − | 19.2073i | 0.865959 | − | 0.629156i | ||||
\(933\) | 56.4699 | + | 62.7162i | 1.84874 | + | 2.05324i | ||||
\(934\) | −10.0539 | − | 17.4139i | −0.328975 | − | 0.569801i | ||||
\(935\) | 8.69813 | − | 9.29989i | 0.284459 | − | 0.304139i | ||||
\(936\) | −20.6212 | + | 35.7170i | −0.674026 | + | 1.16745i | ||||
\(937\) | −16.5194 | + | 50.8416i | −0.539667 | + | 1.66092i | 0.193678 | + | 0.981065i | \(0.437958\pi\) |
−0.733344 | + | 0.679858i | \(0.762042\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 11.4120 | + | 8.29134i | 0.372418 | + | 0.270578i | ||||
\(940\) | 14.3069 | + | 3.04103i | 0.466641 | + | 0.0991875i | ||||
\(941\) | −9.16709 | + | 10.1811i | −0.298838 | + | 0.331894i | −0.873799 | − | 0.486287i | \(-0.838351\pi\) |
0.574960 | + | 0.818181i | \(0.305017\pi\) | |||||||
\(942\) | −2.47386 | + | 23.5372i | −0.0806027 | + | 0.766884i | ||||
\(943\) | −1.83936 | − | 17.5003i | −0.0598977 | − | 0.569889i | ||||
\(944\) | 0.171867 | − | 0.528952i | 0.00559379 | − | 0.0172159i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −14.9378 | − | 11.2912i | −0.485670 | − | 0.367110i | ||||
\(947\) | −15.8222 | + | 27.4049i | −0.514152 | + | 0.890538i | 0.485713 | + | 0.874119i | \(0.338560\pi\) |
−0.999865 | + | 0.0164197i | \(0.994773\pi\) | |||||||
\(948\) | −19.3290 | + | 4.10850i | −0.627776 | + | 0.133438i | ||||
\(949\) | 18.5656 | + | 8.26594i | 0.602665 | + | 0.268324i | ||||
\(950\) | −1.66379 | + | 0.740765i | −0.0539803 | + | 0.0240336i | ||||
\(951\) | 10.6242 | + | 32.6980i | 0.344514 | + | 1.06031i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −26.4856 | − | 19.2429i | −0.857951 | − | 0.623338i | 0.0693755 | − | 0.997591i | \(-0.477899\pi\) |
−0.927327 | + | 0.374253i | \(0.877899\pi\) | |||||||
\(954\) | −0.320444 | − | 3.04882i | −0.0103747 | − | 0.0987091i | ||||
\(955\) | 26.6330 | − | 5.66101i | 0.861823 | − | 0.183186i | ||||
\(956\) | 12.0210 | + | 20.8210i | 0.388787 | + | 0.673398i | ||||
\(957\) | −6.30299 | − | 7.27253i | −0.203747 | − | 0.235088i | ||||
\(958\) | 4.02083 | 0.129907 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −4.59371 | + | 3.33753i | −0.148261 | + | 0.107718i | ||||
\(961\) | −20.0882 | + | 8.94385i | −0.648007 | + | 0.288511i | ||||
\(962\) | 1.70768 | − | 1.89657i | 0.0550578 | − | 0.0611479i | ||||
\(963\) | −70.6879 | + | 78.5069i | −2.27789 | + | 2.52985i | ||||
\(964\) | 19.9626 | − | 8.88793i | 0.642952 | − | 0.286261i | ||||
\(965\) | −3.05127 | + | 2.21688i | −0.0982238 | + | 0.0713637i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.3487 | −1.04026 | −0.520132 | − | 0.854086i | \(-0.674117\pi\) | ||||
−0.520132 | + | 0.854086i | \(0.674117\pi\) | |||||||
\(968\) | 13.9307 | − | 22.1472i | 0.447749 | − | 0.711838i | ||||
\(969\) | 18.9144 | + | 32.7606i | 0.607617 | + | 1.05242i | ||||
\(970\) | −11.9597 | + | 2.54211i | −0.384003 | + | 0.0816223i | ||||
\(971\) | −3.07596 | − | 29.2658i | −0.0987122 | − | 0.939184i | −0.926030 | − | 0.377450i | \(-0.876801\pi\) |
0.827318 | − | 0.561734i | \(-0.189866\pi\) | |||||||
\(972\) | −23.1941 | − | 16.8515i | −0.743950 | − | 0.540511i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 1.31778 | + | 4.05570i | 0.0422243 | + | 0.129953i | ||||
\(975\) | −2.93131 | + | 1.30510i | −0.0938770 | + | 0.0417967i | ||||
\(976\) | −6.91248 | − | 3.07763i | −0.221263 | − | 0.0985127i | ||||
\(977\) | −13.3952 | + | 2.84723i | −0.428550 | + | 0.0910911i | −0.417137 | − | 0.908844i | \(-0.636966\pi\) |
−0.0114132 | + | 0.999935i | \(0.503633\pi\) | |||||||
\(978\) | −19.1390 | + | 33.1497i | −0.611997 | + | 1.06001i | ||||
\(979\) | −9.00874 | + | 26.0377i | −0.287920 | + | 0.832168i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −40.1108 | + | 123.448i | −1.28064 | + | 3.94141i | ||||
\(982\) | −0.866473 | − | 8.24394i | −0.0276503 | − | 0.263075i | ||||
\(983\) | 1.78032 | − | 16.9386i | 0.0567835 | − | 0.540259i | −0.928741 | − | 0.370728i | \(-0.879108\pi\) |
0.985525 | − | 0.169531i | \(-0.0542251\pi\) | |||||||
\(984\) | −27.7894 | + | 30.8632i | −0.885893 | + | 0.983884i | ||||
\(985\) | −1.89364 | − | 0.402506i | −0.0603364 | − | 0.0128249i | ||||
\(986\) | 0.896797 | + | 0.651561i | 0.0285598 | + | 0.0207499i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.15432 | − | 25.0964i | 0.259423 | − | 0.798423i | ||||
\(989\) | −13.3372 | + | 23.1007i | −0.424099 | + | 0.734561i | ||||
\(990\) | −4.02815 | + | 32.4089i | −0.128023 | + | 1.03002i | ||||
\(991\) | −11.6101 | − | 20.1093i | −0.368807 | − | 0.638792i | 0.620572 | − | 0.784149i | \(-0.286900\pi\) |
−0.989379 | + | 0.145357i | \(0.953567\pi\) | |||||||
\(992\) | −11.5862 | − | 12.8678i | −0.367862 | − | 0.408552i | ||||
\(993\) | 41.9696 | − | 30.4927i | 1.33187 | − | 0.967657i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −10.3540 | − | 31.8665i | −0.328245 | − | 1.01023i | ||||
\(996\) | −19.3036 | − | 4.10310i | −0.611657 | − | 0.130012i | ||||
\(997\) | −1.92098 | + | 18.2769i | −0.0608381 | + | 0.578836i | 0.921059 | + | 0.389422i | \(0.127325\pi\) |
−0.981897 | + | 0.189414i | \(0.939341\pi\) | |||||||
\(998\) | −8.73688 | − | 3.88991i | −0.276561 | − | 0.123133i | ||||
\(999\) | 12.2168 | + | 13.5681i | 0.386521 | + | 0.429275i |
(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 | 539.2.q.f.471.3 | 32 | ||
7.2 | even | 3 | 539.2.f.e.295.3 | 16 | |||
7.3 | odd | 6 | 539.2.q.g.361.2 | 32 | |||
7.4 | even | 3 | inner | 539.2.q.f.361.2 | 32 | ||
7.5 | odd | 6 | 77.2.f.b.64.3 | ✓ | 16 | ||
7.6 | odd | 2 | 539.2.q.g.471.3 | 32 | |||
11.5 | even | 5 | inner | 539.2.q.f.324.2 | 32 | ||
21.5 | even | 6 | 693.2.m.i.64.2 | 16 | |||
77.5 | odd | 30 | 77.2.f.b.71.3 | yes | 16 | ||
77.16 | even | 15 | 539.2.f.e.148.3 | 16 | |||
77.19 | even | 30 | 847.2.f.v.323.3 | 16 | |||
77.26 | odd | 30 | 847.2.a.p.1.5 | 8 | |||
77.27 | odd | 10 | 539.2.q.g.324.2 | 32 | |||
77.37 | even | 15 | 5929.2.a.bt.1.5 | 8 | |||
77.38 | odd | 30 | 539.2.q.g.214.3 | 32 | |||
77.40 | even | 30 | 847.2.a.o.1.4 | 8 | |||
77.47 | odd | 30 | 847.2.f.w.323.2 | 16 | |||
77.51 | odd | 30 | 5929.2.a.bs.1.4 | 8 | |||
77.54 | even | 6 | 847.2.f.x.372.2 | 16 | |||
77.60 | even | 15 | inner | 539.2.q.f.214.3 | 32 | ||
77.61 | even | 30 | 847.2.f.x.148.2 | 16 | |||
77.68 | even | 30 | 847.2.f.v.729.3 | 16 | |||
77.75 | odd | 30 | 847.2.f.w.729.2 | 16 | |||
231.5 | even | 30 | 693.2.m.i.379.2 | 16 | |||
231.26 | even | 30 | 7623.2.a.ct.1.4 | 8 | |||
231.194 | odd | 30 | 7623.2.a.cw.1.5 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
77.2.f.b.64.3 | ✓ | 16 | 7.5 | odd | 6 | ||
77.2.f.b.71.3 | yes | 16 | 77.5 | odd | 30 | ||
539.2.f.e.148.3 | 16 | 77.16 | even | 15 | |||
539.2.f.e.295.3 | 16 | 7.2 | even | 3 | |||
539.2.q.f.214.3 | 32 | 77.60 | even | 15 | inner | ||
539.2.q.f.324.2 | 32 | 11.5 | even | 5 | inner | ||
539.2.q.f.361.2 | 32 | 7.4 | even | 3 | inner | ||
539.2.q.f.471.3 | 32 | 1.1 | even | 1 | trivial | ||
539.2.q.g.214.3 | 32 | 77.38 | odd | 30 | |||
539.2.q.g.324.2 | 32 | 77.27 | odd | 10 | |||
539.2.q.g.361.2 | 32 | 7.3 | odd | 6 | |||
539.2.q.g.471.3 | 32 | 7.6 | odd | 2 | |||
693.2.m.i.64.2 | 16 | 21.5 | even | 6 | |||
693.2.m.i.379.2 | 16 | 231.5 | even | 30 | |||
847.2.a.o.1.4 | 8 | 77.40 | even | 30 | |||
847.2.a.p.1.5 | 8 | 77.26 | odd | 30 | |||
847.2.f.v.323.3 | 16 | 77.19 | even | 30 | |||
847.2.f.v.729.3 | 16 | 77.68 | even | 30 | |||
847.2.f.w.323.2 | 16 | 77.47 | odd | 30 | |||
847.2.f.w.729.2 | 16 | 77.75 | odd | 30 | |||
847.2.f.x.148.2 | 16 | 77.61 | even | 30 | |||
847.2.f.x.372.2 | 16 | 77.54 | even | 6 | |||
5929.2.a.bs.1.4 | 8 | 77.51 | odd | 30 | |||
5929.2.a.bt.1.5 | 8 | 77.37 | even | 15 | |||
7623.2.a.ct.1.4 | 8 | 231.26 | even | 30 | |||
7623.2.a.cw.1.5 | 8 | 231.194 | odd | 30 |