Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 412.15 | ||
Character | \(\chi\) | \(=\) | 483.412 |
Dual form | 483.2.r.a.34.15 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.129024 | − | 0.0829186i | −0.0912336 | − | 0.0586323i | 0.494229 | − | 0.869332i | \(-0.335451\pi\) |
−0.585462 | + | 0.810700i | \(0.699087\pi\) | |||||||
\(3\) | −0.989821 | + | 0.142315i | −0.571474 | + | 0.0821655i | ||||
\(4\) | −0.821058 | − | 1.79787i | −0.410529 | − | 0.898934i | ||||
\(5\) | −3.74200 | − | 1.09875i | −1.67347 | − | 0.491377i | −0.698859 | − | 0.715260i | \(-0.746308\pi\) |
−0.974616 | + | 0.223883i | \(0.928127\pi\) | |||||||
\(6\) | 0.139511 | + | 0.0637126i | 0.0569552 | + | 0.0260106i | ||||
\(7\) | −0.158342 | + | 2.64101i | −0.0598476 | + | 0.998208i | ||||
\(8\) | −0.0867944 | + | 0.603668i | −0.0306865 | + | 0.213429i | ||||
\(9\) | 0.959493 | − | 0.281733i | 0.319831 | − | 0.0939109i | ||||
\(10\) | 0.391701 | + | 0.452047i | 0.123867 | + | 0.142950i | ||||
\(11\) | 0.170830 | + | 0.265816i | 0.0515071 | + | 0.0801466i | 0.866052 | − | 0.499954i | \(-0.166650\pi\) |
−0.814545 | + | 0.580100i | \(0.803013\pi\) | |||||||
\(12\) | 1.06856 | + | 1.66272i | 0.308468 | + | 0.479986i | ||||
\(13\) | 1.14921 | − | 0.995794i | 0.318733 | − | 0.276184i | −0.480769 | − | 0.876847i | \(-0.659642\pi\) |
0.799502 | + | 0.600664i | \(0.205097\pi\) | |||||||
\(14\) | 0.239419 | − | 0.327624i | 0.0639873 | − | 0.0875611i | ||||
\(15\) | 3.86028 | + | 0.555025i | 0.996721 | + | 0.143307i | ||||
\(16\) | −2.52738 | + | 2.91675i | −0.631845 | + | 0.729188i | ||||
\(17\) | 2.42691 | − | 5.31419i | 0.588612 | − | 1.28888i | −0.347665 | − | 0.937619i | \(-0.613025\pi\) |
0.936277 | − | 0.351262i | \(-0.114247\pi\) | |||||||
\(18\) | −0.147158 | − | 0.0432096i | −0.0346856 | − | 0.0101846i | ||||
\(19\) | 3.19164 | + | 6.98871i | 0.732212 | + | 1.60332i | 0.795956 | + | 0.605355i | \(0.206969\pi\) |
−0.0637435 | + | 0.997966i | \(0.520304\pi\) | |||||||
\(20\) | 1.09699 | + | 7.62976i | 0.245295 | + | 1.70607i | ||||
\(21\) | −0.219124 | − | 2.63666i | −0.0478169 | − | 0.575367i | ||||
\(22\) | − | 0.0484616i | − | 0.0103320i | ||||||
\(23\) | −1.47490 | + | 4.56341i | −0.307537 | + | 0.951536i | ||||
\(24\) | − | 0.609876i | − | 0.124490i | ||||||
\(25\) | 8.58907 | + | 5.51986i | 1.71781 | + | 1.10397i | ||||
\(26\) | −0.230845 | + | 0.0331905i | −0.0452725 | + | 0.00650920i | ||||
\(27\) | −0.909632 | + | 0.415415i | −0.175059 | + | 0.0799467i | ||||
\(28\) | 4.87819 | − | 1.88374i | 0.921891 | − | 0.355994i | ||||
\(29\) | 2.19928 | − | 4.81575i | 0.408396 | − | 0.894263i | −0.587953 | − | 0.808895i | \(-0.700066\pi\) |
0.996349 | − | 0.0853679i | \(-0.0272066\pi\) | |||||||
\(30\) | −0.452047 | − | 0.391701i | −0.0825321 | − | 0.0715145i | ||||
\(31\) | 4.53470 | + | 0.651992i | 0.814457 | + | 0.117101i | 0.536941 | − | 0.843620i | \(-0.319580\pi\) |
0.277516 | + | 0.960721i | \(0.410489\pi\) | |||||||
\(32\) | 1.73829 | − | 0.510408i | 0.307289 | − | 0.0902282i | ||||
\(33\) | −0.206920 | − | 0.238799i | −0.0360202 | − | 0.0415696i | ||||
\(34\) | −0.753775 | + | 0.484422i | −0.129271 | + | 0.0830776i | ||||
\(35\) | 3.49433 | − | 9.70869i | 0.590649 | − | 1.64107i | ||||
\(36\) | −1.29432 | − | 1.49372i | −0.215720 | − | 0.248954i | ||||
\(37\) | 0.789895 | + | 2.69013i | 0.129858 | + | 0.442255i | 0.998593 | − | 0.0530210i | \(-0.0168850\pi\) |
−0.868736 | + | 0.495276i | \(0.835067\pi\) | |||||||
\(38\) | 0.167697 | − | 1.16636i | 0.0272040 | − | 0.189208i | ||||
\(39\) | −0.995794 | + | 1.14921i | −0.159455 | + | 0.184021i | ||||
\(40\) | 0.988067 | − | 2.16356i | 0.156227 | − | 0.342090i | ||||
\(41\) | −2.21110 | + | 7.53031i | −0.345315 | + | 1.17604i | 0.585538 | + | 0.810645i | \(0.300883\pi\) |
−0.930854 | + | 0.365392i | \(0.880935\pi\) | |||||||
\(42\) | −0.190356 | + | 0.358362i | −0.0293726 | + | 0.0552964i | ||||
\(43\) | −7.04710 | + | 1.01322i | −1.07467 | + | 0.154515i | −0.656855 | − | 0.754017i | \(-0.728114\pi\) |
−0.417817 | + | 0.908531i | \(0.637205\pi\) | |||||||
\(44\) | 0.337641 | − | 0.525380i | 0.0509013 | − | 0.0792040i | ||||
\(45\) | −3.89998 | −0.581375 | ||||||||
\(46\) | 0.568688 | − | 0.466492i | 0.0838485 | − | 0.0687805i | ||||
\(47\) | 8.31829i | 1.21335i | 0.794951 | + | 0.606674i | \(0.207497\pi\) | ||||
−0.794951 | + | 0.606674i | \(0.792503\pi\) | |||||||
\(48\) | 2.08656 | − | 3.24675i | 0.301169 | − | 0.468628i | ||||
\(49\) | −6.94986 | − | 0.836365i | −0.992837 | − | 0.119481i | ||||
\(50\) | −0.650496 | − | 1.42439i | −0.0919940 | − | 0.201439i | ||||
\(51\) | −1.64592 | + | 5.60549i | −0.230475 | + | 0.784925i | ||||
\(52\) | −2.73387 | − | 1.24852i | −0.379120 | − | 0.173138i | ||||
\(53\) | −0.237530 | − | 0.205821i | −0.0326273 | − | 0.0282717i | 0.638395 | − | 0.769709i | \(-0.279599\pi\) |
−0.671022 | + | 0.741438i | \(0.734144\pi\) | |||||||
\(54\) | 0.151810 | + | 0.0218270i | 0.0206587 | + | 0.00297027i | ||||
\(55\) | −0.347179 | − | 1.18238i | −0.0468137 | − | 0.159433i | ||||
\(56\) | −1.58055 | − | 0.324811i | −0.211210 | − | 0.0434047i | ||||
\(57\) | −4.15375 | − | 6.46336i | −0.550178 | − | 0.856093i | ||||
\(58\) | −0.683075 | + | 0.438986i | −0.0896921 | + | 0.0576416i | ||||
\(59\) | 0.835725 | − | 0.724160i | 0.108802 | − | 0.0942776i | −0.598761 | − | 0.800928i | \(-0.704340\pi\) |
0.707563 | + | 0.706650i | \(0.249795\pi\) | |||||||
\(60\) | −2.17166 | − | 7.39599i | −0.280360 | − | 0.954818i | ||||
\(61\) | 0.591132 | − | 4.11141i | 0.0756867 | − | 0.526413i | −0.916342 | − | 0.400397i | \(-0.868872\pi\) |
0.992028 | − | 0.126015i | \(-0.0402188\pi\) | |||||||
\(62\) | −0.531023 | − | 0.460134i | −0.0674400 | − | 0.0584371i | ||||
\(63\) | 0.592130 | + | 2.57864i | 0.0746014 | + | 0.324878i | ||||
\(64\) | 7.13956 | + | 2.09637i | 0.892446 | + | 0.262046i | ||||
\(65\) | −5.39447 | + | 2.46357i | −0.669102 | + | 0.305569i | ||||
\(66\) | 0.00689680 | + | 0.0479683i | 0.000848938 | + | 0.00590449i | ||||
\(67\) | −7.91252 | + | 12.3121i | −0.966668 | + | 1.50417i | −0.106400 | + | 0.994323i | \(0.533932\pi\) |
−0.860268 | + | 0.509842i | \(0.829704\pi\) | |||||||
\(68\) | −11.5468 | −1.40026 | ||||||||
\(69\) | 0.810443 | − | 4.72686i | 0.0975659 | − | 0.569047i | ||||
\(70\) | −1.25588 | + | 0.962907i | −0.150107 | + | 0.115089i | ||||
\(71\) | −1.38621 | − | 0.890866i | −0.164513 | − | 0.105726i | 0.455793 | − | 0.890086i | \(-0.349356\pi\) |
−0.620307 | + | 0.784359i | \(0.712992\pi\) | |||||||
\(72\) | 0.0867944 | + | 0.603668i | 0.0102288 | + | 0.0711430i | ||||
\(73\) | 8.12885 | − | 3.71232i | 0.951410 | − | 0.434495i | 0.121624 | − | 0.992576i | \(-0.461190\pi\) |
0.829786 | + | 0.558082i | \(0.188462\pi\) | |||||||
\(74\) | 0.121147 | − | 0.412588i | 0.0140830 | − | 0.0479624i | ||||
\(75\) | −9.28720 | − | 4.24132i | −1.07239 | − | 0.489746i | ||||
\(76\) | 9.94426 | − | 11.4763i | 1.14068 | − | 1.31642i | ||||
\(77\) | −0.729072 | + | 0.409073i | −0.0830855 | + | 0.0466182i | ||||
\(78\) | 0.223772 | − | 0.0657054i | 0.0253372 | − | 0.00743967i | ||||
\(79\) | 3.66239 | − | 3.17348i | 0.412051 | − | 0.357044i | −0.424032 | − | 0.905647i | \(-0.639386\pi\) |
0.836083 | + | 0.548603i | \(0.184840\pi\) | |||||||
\(80\) | 12.6623 | − | 8.13754i | 1.41568 | − | 0.909804i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | 0.909687 | − | 0.788248i | 0.100458 | − | 0.0870474i | ||||
\(83\) | −5.94289 | + | 1.74499i | −0.652317 | + | 0.191538i | −0.591114 | − | 0.806588i | \(-0.701312\pi\) |
−0.0612029 | + | 0.998125i | \(0.519494\pi\) | |||||||
\(84\) | −4.56045 | + | 2.55881i | −0.497586 | + | 0.279189i | ||||
\(85\) | −14.9205 | + | 17.2192i | −1.61835 | + | 1.86768i | ||||
\(86\) | 0.993258 | + | 0.453606i | 0.107106 | + | 0.0489136i | ||||
\(87\) | −1.49154 | + | 5.07972i | −0.159910 | + | 0.544604i | ||||
\(88\) | −0.175292 | + | 0.0800531i | −0.0186862 | + | 0.00853369i | ||||
\(89\) | 1.08210 | + | 7.52618i | 0.114702 | + | 0.797773i | 0.963241 | + | 0.268639i | \(0.0865740\pi\) |
−0.848538 | + | 0.529134i | \(0.822517\pi\) | |||||||
\(90\) | 0.503190 | + | 0.323381i | 0.0530409 | + | 0.0340873i | ||||
\(91\) | 2.44793 | + | 3.19274i | 0.256613 | + | 0.334691i | ||||
\(92\) | 9.41537 | − | 1.09516i | 0.981621 | − | 0.114178i | ||||
\(93\) | −4.58134 | −0.475062 | ||||||||
\(94\) | 0.689741 | − | 1.07326i | 0.0711414 | − | 0.110698i | ||||
\(95\) | −4.26427 | − | 29.6586i | −0.437504 | − | 3.04291i | ||||
\(96\) | −1.64796 | + | 0.752597i | −0.168194 | + | 0.0768116i | ||||
\(97\) | 18.1980 | + | 5.34340i | 1.84772 | + | 0.542540i | 0.999925 | + | 0.0122191i | \(0.00388957\pi\) |
0.847797 | + | 0.530321i | \(0.177929\pi\) | |||||||
\(98\) | 0.827347 | + | 0.684183i | 0.0835747 | + | 0.0691130i | ||||
\(99\) | 0.238799 | + | 0.206920i | 0.0240002 | + | 0.0207963i | ||||
\(100\) | 2.87185 | − | 19.9741i | 0.287185 | − | 1.99741i | ||||
\(101\) | −3.31144 | − | 11.2777i | −0.329500 | − | 1.12217i | −0.943087 | − | 0.332547i | \(-0.892092\pi\) |
0.613587 | − | 0.789627i | \(-0.289726\pi\) | |||||||
\(102\) | 0.677162 | − | 0.586764i | 0.0670490 | − | 0.0580983i | ||||
\(103\) | −5.19284 | + | 3.33724i | −0.511666 | + | 0.328828i | −0.770868 | − | 0.636995i | \(-0.780177\pi\) |
0.259201 | + | 0.965823i | \(0.416541\pi\) | |||||||
\(104\) | 0.501385 | + | 0.780170i | 0.0491648 | + | 0.0765020i | ||||
\(105\) | −2.07707 | + | 10.1072i | −0.202701 | + | 0.986358i | ||||
\(106\) | 0.0135807 | + | 0.0462515i | 0.00131907 | + | 0.00449234i | ||||
\(107\) | 1.77582 | + | 0.255324i | 0.171675 | + | 0.0246831i | 0.227616 | − | 0.973751i | \(-0.426907\pi\) |
−0.0559414 | + | 0.998434i | \(0.517816\pi\) | |||||||
\(108\) | 1.49372 | + | 1.29432i | 0.143733 | + | 0.124546i | ||||
\(109\) | 8.57293 | + | 3.91513i | 0.821138 | + | 0.375001i | 0.781262 | − | 0.624203i | \(-0.214576\pi\) |
0.0398763 | + | 0.999205i | \(0.487304\pi\) | |||||||
\(110\) | −0.0532472 | + | 0.181343i | −0.00507693 | + | 0.0172904i | ||||
\(111\) | −1.16470 | − | 2.55034i | −0.110548 | − | 0.242067i | ||||
\(112\) | −7.30298 | − | 7.13668i | −0.690067 | − | 0.674353i | ||||
\(113\) | −9.35373 | + | 14.5547i | −0.879925 | + | 1.36919i | 0.0489522 | + | 0.998801i | \(0.484412\pi\) |
−0.928877 | + | 0.370388i | \(0.879225\pi\) | |||||||
\(114\) | 1.17835i | 0.110363i | ||||||||
\(115\) | 10.5331 | − | 15.4557i | 0.982218 | − | 1.44126i | ||||
\(116\) | −10.4638 | −0.971541 | ||||||||
\(117\) | 0.822109 | − | 1.27923i | 0.0760040 | − | 0.118265i | ||||
\(118\) | −0.167875 | + | 0.0241367i | −0.0154541 | + | 0.00222197i | ||||
\(119\) | 13.6505 | + | 7.25095i | 1.25134 | + | 0.664694i | ||||
\(120\) | −0.670102 | + | 2.28216i | −0.0611717 | + | 0.208332i | ||||
\(121\) | 4.52809 | − | 9.91513i | 0.411645 | − | 0.901376i | ||||
\(122\) | −0.417183 | + | 0.481455i | −0.0377699 | + | 0.0435888i | ||||
\(123\) | 1.11692 | − | 7.76833i | 0.100709 | − | 0.700447i | ||||
\(124\) | −2.55106 | − | 8.68812i | −0.229092 | − | 0.780216i | ||||
\(125\) | −13.3057 | − | 15.3555i | −1.19009 | − | 1.37344i | ||||
\(126\) | 0.137418 | − | 0.381805i | 0.0122422 | − | 0.0340139i | ||||
\(127\) | 2.74020 | − | 1.76102i | 0.243154 | − | 0.156265i | −0.413388 | − | 0.910555i | \(-0.635655\pi\) |
0.656542 | + | 0.754289i | \(0.272018\pi\) | |||||||
\(128\) | −3.12014 | − | 3.60083i | −0.275784 | − | 0.318271i | ||||
\(129\) | 6.83117 | − | 2.00581i | 0.601451 | − | 0.176602i | ||||
\(130\) | 0.900291 | + | 0.129442i | 0.0789608 | + | 0.0113528i | ||||
\(131\) | 6.23455 | + | 5.40227i | 0.544715 | + | 0.471999i | 0.883215 | − | 0.468968i | \(-0.155374\pi\) |
−0.338500 | + | 0.940966i | \(0.609919\pi\) | |||||||
\(132\) | −0.259435 | + | 0.568083i | −0.0225809 | + | 0.0494453i | ||||
\(133\) | −18.9626 | + | 7.32254i | −1.64427 | + | 0.634945i | ||||
\(134\) | 2.04181 | − | 0.932462i | 0.176385 | − | 0.0805525i | ||||
\(135\) | 3.86028 | − | 0.555025i | 0.332240 | − | 0.0477690i | ||||
\(136\) | 2.99737 | + | 1.92629i | 0.257022 | + | 0.165178i | ||||
\(137\) | 21.9063i | 1.87158i | 0.352558 | + | 0.935790i | \(0.385312\pi\) | ||||
−0.352558 | + | 0.935790i | \(0.614688\pi\) | |||||||
\(138\) | −0.496511 | + | 0.542677i | −0.0422658 | + | 0.0461957i | ||||
\(139\) | 3.29935i | 0.279848i | 0.990162 | + | 0.139924i | \(0.0446857\pi\) | ||||
−0.990162 | + | 0.139924i | \(0.955314\pi\) | |||||||
\(140\) | −20.3240 | + | 1.68906i | −1.71769 | + | 0.142752i | ||||
\(141\) | −1.18382 | − | 8.23362i | −0.0996953 | − | 0.693396i | ||||
\(142\) | 0.104985 | + | 0.229886i | 0.00881018 | + | 0.0192916i | ||||
\(143\) | 0.461017 | + | 0.135367i | 0.0385522 | + | 0.0113199i | ||||
\(144\) | −1.60326 | + | 3.51065i | −0.133605 | + | 0.292554i | ||||
\(145\) | −13.5210 | + | 15.6041i | −1.12286 | + | 1.29585i | ||||
\(146\) | −1.35664 | − | 0.195055i | −0.112276 | − | 0.0161429i | ||||
\(147\) | 6.99814 | − | 0.161215i | 0.577197 | − | 0.0132968i | ||||
\(148\) | 4.18795 | − | 3.62888i | 0.344248 | − | 0.298292i | ||||
\(149\) | −4.45738 | − | 6.93582i | −0.365163 | − | 0.568204i | 0.609248 | − | 0.792980i | \(-0.291471\pi\) |
−0.974411 | + | 0.224776i | \(0.927835\pi\) | |||||||
\(150\) | 0.846586 | + | 1.31731i | 0.0691235 | + | 0.107558i | ||||
\(151\) | −6.04273 | − | 6.97369i | −0.491751 | − | 0.567511i | 0.454582 | − | 0.890705i | \(-0.349789\pi\) |
−0.946333 | + | 0.323194i | \(0.895243\pi\) | |||||||
\(152\) | −4.49588 | + | 1.32011i | −0.364664 | + | 0.107075i | ||||
\(153\) | 0.831423 | − | 5.78267i | 0.0672165 | − | 0.467501i | ||||
\(154\) | 0.127987 | + | 0.00767350i | 0.0103135 | + | 0.000618349i | ||||
\(155\) | −16.2525 | − | 7.42227i | −1.30543 | − | 0.596171i | ||||
\(156\) | 2.88373 | + | 0.846739i | 0.230883 | + | 0.0677934i | ||||
\(157\) | 2.32741 | + | 5.09631i | 0.185747 | + | 0.406730i | 0.979481 | − | 0.201535i | \(-0.0645930\pi\) |
−0.793734 | + | 0.608265i | \(0.791866\pi\) | |||||||
\(158\) | −0.735675 | + | 0.105774i | −0.0585272 | + | 0.00841494i | ||||
\(159\) | 0.264404 | + | 0.169922i | 0.0209686 | + | 0.0134757i | ||||
\(160\) | −7.06550 | −0.558576 | ||||||||
\(161\) | −11.8185 | − | 4.61779i | −0.931425 | − | 0.363933i | ||||
\(162\) | −0.153371 | −0.0120500 | ||||||||
\(163\) | 0.102066 | + | 0.0655936i | 0.00799439 | + | 0.00513768i | 0.544632 | − | 0.838675i | \(-0.316669\pi\) |
−0.536638 | + | 0.843813i | \(0.680306\pi\) | |||||||
\(164\) | 15.3539 | − | 2.20756i | 1.19894 | − | 0.172382i | ||||
\(165\) | 0.511917 | + | 1.12094i | 0.0398526 | + | 0.0872651i | ||||
\(166\) | 0.911467 | + | 0.267631i | 0.0707436 | + | 0.0207722i | ||||
\(167\) | 1.32577 | + | 0.605459i | 0.102591 | + | 0.0468518i | 0.466050 | − | 0.884759i | \(-0.345677\pi\) |
−0.363458 | + | 0.931610i | \(0.618404\pi\) | |||||||
\(168\) | 1.61069 | + | 0.0965690i | 0.124267 | + | 0.00745046i | ||||
\(169\) | −1.52102 | + | 10.5789i | −0.117002 | + | 0.813764i | ||||
\(170\) | 3.35289 | − | 0.984497i | 0.257155 | − | 0.0755074i | ||||
\(171\) | 5.03130 | + | 5.80643i | 0.384753 | + | 0.444029i | ||||
\(172\) | 7.60771 | + | 11.8378i | 0.580083 | + | 0.902626i | ||||
\(173\) | −7.08797 | − | 11.0291i | −0.538889 | − | 0.838527i | 0.459888 | − | 0.887977i | \(-0.347890\pi\) |
−0.998777 | + | 0.0494500i | \(0.984253\pi\) | |||||||
\(174\) | 0.613648 | − | 0.531729i | 0.0465205 | − | 0.0403103i | ||||
\(175\) | −15.9380 | + | 21.8098i | −1.20480 | + | 1.64866i | ||||
\(176\) | −1.20707 | − | 0.173551i | −0.0909865 | − | 0.0130819i | ||||
\(177\) | −0.724160 | + | 0.835725i | −0.0544312 | + | 0.0628169i | ||||
\(178\) | 0.484443 | − | 1.06078i | 0.0363106 | − | 0.0795090i | ||||
\(179\) | 21.0839 | + | 6.19079i | 1.57588 | + | 0.462721i | 0.948707 | − | 0.316156i | \(-0.102392\pi\) |
0.627176 | + | 0.778877i | \(0.284211\pi\) | |||||||
\(180\) | 3.20211 | + | 7.01165i | 0.238671 | + | 0.522617i | ||||
\(181\) | −2.04479 | − | 14.2218i | −0.151988 | − | 1.05710i | −0.912882 | − | 0.408224i | \(-0.866148\pi\) |
0.760894 | − | 0.648877i | \(-0.224761\pi\) | |||||||
\(182\) | −0.0511040 | − | 0.614919i | −0.00378808 | − | 0.0455809i | ||||
\(183\) | 4.15369i | 0.307050i | ||||||||
\(184\) | −2.62677 | − | 1.28643i | −0.193648 | − | 0.0948366i | ||||
\(185\) | − | 10.9344i | − | 0.803912i | ||||||
\(186\) | 0.591102 | + | 0.379878i | 0.0433417 | + | 0.0278540i | ||||
\(187\) | 1.82719 | − | 0.262710i | 0.133617 | − | 0.0192112i | ||||
\(188\) | 14.9552 | − | 6.82980i | 1.09072 | − | 0.498115i | ||||
\(189\) | −0.953082 | − | 2.46812i | −0.0693265 | − | 0.179530i | ||||
\(190\) | −1.90906 | + | 4.18026i | −0.138498 | + | 0.303268i | ||||
\(191\) | 9.91522 | + | 8.59159i | 0.717440 | + | 0.621666i | 0.935110 | − | 0.354357i | \(-0.115300\pi\) |
−0.217670 | + | 0.976022i | \(0.569846\pi\) | |||||||
\(192\) | −7.36524 | − | 1.05896i | −0.531540 | − | 0.0764240i | ||||
\(193\) | −2.63741 | + | 0.774414i | −0.189845 | + | 0.0557436i | −0.375273 | − | 0.926914i | \(-0.622451\pi\) |
0.185428 | + | 0.982658i | \(0.440633\pi\) | |||||||
\(194\) | −1.90490 | − | 2.19837i | −0.136764 | − | 0.157834i | ||||
\(195\) | 4.98896 | − | 3.20621i | 0.357267 | − | 0.229601i | ||||
\(196\) | 4.20256 | + | 13.1816i | 0.300183 | + | 0.941544i | ||||
\(197\) | 0.419424 | + | 0.484041i | 0.0298827 | + | 0.0344865i | 0.770494 | − | 0.637447i | \(-0.220010\pi\) |
−0.740611 | + | 0.671934i | \(0.765464\pi\) | |||||||
\(198\) | −0.0136532 | − | 0.0464986i | −0.000970291 | − | 0.00330451i | ||||
\(199\) | −3.03849 | + | 21.1331i | −0.215393 | + | 1.49809i | 0.539358 | + | 0.842077i | \(0.318667\pi\) |
−0.754751 | + | 0.656012i | \(0.772242\pi\) | |||||||
\(200\) | −4.07765 | + | 4.70586i | −0.288333 | + | 0.332754i | ||||
\(201\) | 6.07978 | − | 13.3129i | 0.428835 | − | 0.939017i | ||||
\(202\) | −0.507878 | + | 1.72967i | −0.0357342 | + | 0.121699i | ||||
\(203\) | 12.3702 | + | 6.57085i | 0.868218 | + | 0.461184i | ||||
\(204\) | 11.4293 | − | 1.64329i | 0.800212 | − | 0.115053i | ||||
\(205\) | 16.5479 | − | 25.7490i | 1.15575 | − | 1.79839i | ||||
\(206\) | 0.946720 | 0.0659611 | ||||||||
\(207\) | −0.129492 | + | 4.79408i | −0.00900031 | + | 0.333212i | ||||
\(208\) | 5.86871i | 0.406922i | ||||||||
\(209\) | −1.31249 | + | 2.04227i | −0.0907866 | + | 0.141267i | ||||
\(210\) | 1.10606 | − | 1.13184i | 0.0763256 | − | 0.0781042i | ||||
\(211\) | −3.98887 | − | 8.73440i | −0.274605 | − | 0.601301i | 0.721208 | − | 0.692719i | \(-0.243587\pi\) |
−0.995813 | + | 0.0914181i | \(0.970860\pi\) | |||||||
\(212\) | −0.175013 | + | 0.596039i | −0.0120199 | + | 0.0409361i | ||||
\(213\) | 1.49889 | + | 0.684519i | 0.102702 | + | 0.0469025i | ||||
\(214\) | −0.207951 | − | 0.180191i | −0.0142153 | − | 0.0123176i | ||||
\(215\) | 27.4835 | + | 3.95154i | 1.87436 | + | 0.269493i | ||||
\(216\) | −0.171822 | − | 0.585172i | −0.0116910 | − | 0.0398159i | ||||
\(217\) | −2.43995 | + | 11.8730i | −0.165635 | + | 0.805989i | ||||
\(218\) | −0.781476 | − | 1.21600i | −0.0529282 | − | 0.0823579i | ||||
\(219\) | −7.51779 | + | 4.83139i | −0.508005 | + | 0.326475i | ||||
\(220\) | −1.84072 | + | 1.59499i | −0.124101 | + | 0.107534i | ||||
\(221\) | −2.50282 | − | 8.52382i | −0.168358 | − | 0.573374i | ||||
\(222\) | −0.0611963 | + | 0.425630i | −0.00410723 | + | 0.0285664i | ||||
\(223\) | −13.0110 | − | 11.2741i | −0.871284 | − | 0.754972i | 0.0994719 | − | 0.995040i | \(-0.468285\pi\) |
−0.970756 | + | 0.240068i | \(0.922830\pi\) | |||||||
\(224\) | 1.07275 | + | 4.67166i | 0.0716759 | + | 0.312138i | ||||
\(225\) | 9.79628 | + | 2.87645i | 0.653085 | + | 0.191763i | ||||
\(226\) | 2.41371 | − | 1.10230i | 0.160557 | − | 0.0733241i | ||||
\(227\) | 1.70991 | + | 11.8927i | 0.113491 | + | 0.789344i | 0.964479 | + | 0.264160i | \(0.0850946\pi\) |
−0.850988 | + | 0.525185i | \(0.823996\pi\) | |||||||
\(228\) | −8.20979 | + | 12.7747i | −0.543707 | + | 0.846024i | ||||
\(229\) | −13.3906 | −0.884875 | −0.442437 | − | 0.896799i | \(-0.645886\pi\) | ||||
−0.442437 | + | 0.896799i | \(0.645886\pi\) | |||||||
\(230\) | −2.64059 | + | 1.12077i | −0.174115 | + | 0.0739013i | ||||
\(231\) | 0.663434 | − | 0.508667i | 0.0436508 | − | 0.0334678i | ||||
\(232\) | 2.71623 | + | 1.74562i | 0.178329 | + | 0.114605i | ||||
\(233\) | 2.54632 | + | 17.7101i | 0.166815 | + | 1.16022i | 0.885415 | + | 0.464801i | \(0.153874\pi\) |
−0.718600 | + | 0.695423i | \(0.755217\pi\) | |||||||
\(234\) | −0.212143 | + | 0.0968827i | −0.0138682 | + | 0.00633342i | ||||
\(235\) | 9.13974 | − | 31.1271i | 0.596211 | − | 2.03051i | ||||
\(236\) | −1.98812 | − | 0.907945i | −0.129416 | − | 0.0591022i | ||||
\(237\) | −3.17348 | + | 3.66239i | −0.206139 | + | 0.237898i | ||||
\(238\) | −1.16001 | − | 2.06743i | −0.0751921 | − | 0.134012i | ||||
\(239\) | 22.9840 | − | 6.74870i | 1.48671 | − | 0.436537i | 0.565220 | − | 0.824940i | \(-0.308791\pi\) |
0.921490 | + | 0.388403i | \(0.126973\pi\) | |||||||
\(240\) | −11.3753 | + | 9.85674i | −0.734271 | + | 0.636250i | ||||
\(241\) | −1.64474 | + | 1.05701i | −0.105947 | + | 0.0680882i | −0.592542 | − | 0.805540i | \(-0.701875\pi\) |
0.486594 | + | 0.873628i | \(0.338239\pi\) | |||||||
\(242\) | −1.40638 | + | 0.903826i | −0.0904056 | + | 0.0581001i | ||||
\(243\) | −0.755750 | + | 0.654861i | −0.0484814 | + | 0.0420093i | ||||
\(244\) | −7.87713 | + | 2.31293i | −0.504281 | + | 0.148070i | ||||
\(245\) | 25.0874 | + | 10.7658i | 1.60278 | + | 0.687805i | ||||
\(246\) | −0.788248 | + | 0.909687i | −0.0502569 | + | 0.0579995i | ||||
\(247\) | 10.6272 | + | 4.85327i | 0.676191 | + | 0.308806i | ||||
\(248\) | −0.787174 | + | 2.68087i | −0.0499856 | + | 0.170235i | ||||
\(249\) | 5.63407 | − | 2.57299i | 0.357044 | − | 0.163057i | ||||
\(250\) | 0.443487 | + | 3.08452i | 0.0280486 | + | 0.195082i | ||||
\(251\) | 3.36454 | + | 2.16226i | 0.212368 | + | 0.136481i | 0.642501 | − | 0.766285i | \(-0.277897\pi\) |
−0.430133 | + | 0.902766i | \(0.641533\pi\) | |||||||
\(252\) | 4.14988 | − | 3.18178i | 0.261418 | − | 0.200434i | ||||
\(253\) | −1.46498 | + | 0.387514i | −0.0921027 | + | 0.0243628i | ||||
\(254\) | −0.499573 | −0.0313460 | ||||||||
\(255\) | 12.3181 | − | 19.1673i | 0.771388 | − | 1.20030i | ||||
\(256\) | −2.01393 | − | 14.0072i | −0.125870 | − | 0.875448i | ||||
\(257\) | −23.5165 | + | 10.7396i | −1.46692 | + | 0.669919i | −0.979166 | − | 0.203063i | \(-0.934910\pi\) |
−0.487752 | + | 0.872982i | \(0.662183\pi\) | |||||||
\(258\) | −1.04770 | − | 0.307633i | −0.0652271 | − | 0.0191524i | ||||
\(259\) | −7.22974 | + | 1.66016i | −0.449234 | + | 0.103157i | ||||
\(260\) | 8.85835 | + | 7.67580i | 0.549372 | + | 0.476033i | ||||
\(261\) | 0.753440 | − | 5.24029i | 0.0466368 | − | 0.324366i | ||||
\(262\) | −0.356457 | − | 1.21398i | −0.0220220 | − | 0.0750001i | ||||
\(263\) | 1.53497 | − | 1.33006i | 0.0946504 | − | 0.0820150i | −0.606250 | − | 0.795274i | \(-0.707327\pi\) |
0.700901 | + | 0.713259i | \(0.252782\pi\) | |||||||
\(264\) | 0.162115 | − | 0.104185i | 0.00997749 | − | 0.00641214i | ||||
\(265\) | 0.662693 | + | 1.03117i | 0.0407089 | + | 0.0633443i | ||||
\(266\) | 3.05381 | + | 0.627572i | 0.187241 | + | 0.0384789i | ||||
\(267\) | −2.14217 | − | 7.29557i | −0.131099 | − | 0.446482i | ||||
\(268\) | 28.6322 | + | 4.11669i | 1.74899 | + | 0.251467i | ||||
\(269\) | 0.766213 | + | 0.663927i | 0.0467168 | + | 0.0404803i | 0.677906 | − | 0.735148i | \(-0.262888\pi\) |
−0.631189 | + | 0.775629i | \(0.717433\pi\) | |||||||
\(270\) | −0.544091 | − | 0.248478i | −0.0331123 | − | 0.0151219i | ||||
\(271\) | −0.825145 | + | 2.81019i | −0.0501240 | + | 0.170707i | −0.980751 | − | 0.195262i | \(-0.937444\pi\) |
0.930627 | + | 0.365969i | \(0.119262\pi\) | |||||||
\(272\) | 9.36646 | + | 20.5097i | 0.567925 | + | 1.24358i | ||||
\(273\) | −2.87739 | − | 2.81187i | −0.174148 | − | 0.170182i | ||||
\(274\) | 1.81644 | − | 2.82643i | 0.109735 | − | 0.170751i | ||||
\(275\) | 3.22607i | 0.194539i | ||||||||
\(276\) | −9.16368 | + | 2.42396i | −0.551589 | + | 0.145905i | ||||
\(277\) | −16.1723 | −0.971698 | −0.485849 | − | 0.874043i | \(-0.661490\pi\) | ||||
−0.485849 | + | 0.874043i | \(0.661490\pi\) | |||||||
\(278\) | 0.273578 | − | 0.425695i | 0.0164081 | − | 0.0255315i | ||||
\(279\) | 4.53470 | − | 0.651992i | 0.271486 | − | 0.0390337i | ||||
\(280\) | 5.55754 | + | 2.95208i | 0.332127 | + | 0.176420i | ||||
\(281\) | 5.61439 | − | 19.1209i | 0.334927 | − | 1.14065i | −0.604128 | − | 0.796887i | \(-0.706479\pi\) |
0.939055 | − | 0.343768i | \(-0.111703\pi\) | |||||||
\(282\) | −0.529980 | + | 1.16049i | −0.0315598 | + | 0.0691064i | ||||
\(283\) | 8.87973 | − | 10.2478i | 0.527845 | − | 0.609166i | −0.427733 | − | 0.903905i | \(-0.640687\pi\) |
0.955578 | + | 0.294740i | \(0.0952329\pi\) | |||||||
\(284\) | −0.463496 | + | 3.22368i | −0.0275034 | + | 0.191290i | ||||
\(285\) | 8.44172 | + | 28.7499i | 0.500044 | + | 1.70300i | ||||
\(286\) | −0.0482578 | − | 0.0556924i | −0.00285354 | − | 0.00329316i | ||||
\(287\) | −19.5375 | − | 7.03189i | −1.15326 | − | 0.415079i | ||||
\(288\) | 1.52408 | − | 0.979465i | 0.0898071 | − | 0.0577155i | ||||
\(289\) | −11.2181 | − | 12.9464i | −0.659890 | − | 0.761553i | ||||
\(290\) | 3.03841 | − | 0.892156i | 0.178421 | − | 0.0523892i | ||||
\(291\) | −18.7732 | − | 2.69917i | −1.10050 | − | 0.158228i | ||||
\(292\) | −13.3485 | − | 11.5666i | −0.781163 | − | 0.676882i | ||||
\(293\) | −8.73339 | + | 19.1234i | −0.510210 | + | 1.11720i | 0.462805 | + | 0.886460i | \(0.346843\pi\) |
−0.973015 | + | 0.230743i | \(0.925884\pi\) | |||||||
\(294\) | −0.916295 | − | 0.559476i | −0.0534394 | − | 0.0326293i | ||||
\(295\) | −3.92296 | + | 1.79155i | −0.228403 | + | 0.104308i | ||||
\(296\) | −1.69251 | + | 0.243346i | −0.0983750 | + | 0.0141442i | ||||
\(297\) | −0.265816 | − | 0.170830i | −0.0154242 | − | 0.00991254i | ||||
\(298\) | 1.26449i | 0.0732497i | ||||||||
\(299\) | 2.84925 | + | 6.71300i | 0.164777 | + | 0.388223i | ||||
\(300\) | 20.1795i | 1.16507i | ||||||||
\(301\) | −1.56007 | − | 18.7719i | −0.0899210 | − | 1.08199i | ||||
\(302\) | 0.201408 | + | 1.40083i | 0.0115898 | + | 0.0806085i | ||||
\(303\) | 4.88272 | + | 10.6917i | 0.280505 | + | 0.614220i | ||||
\(304\) | −28.4508 | − | 8.35392i | −1.63177 | − | 0.479130i | ||||
\(305\) | −6.72944 | + | 14.7354i | −0.385327 | + | 0.843747i | ||||
\(306\) | −0.586764 | + | 0.677162i | −0.0335431 | + | 0.0387108i | ||||
\(307\) | −7.13795 | − | 1.02628i | −0.407384 | − | 0.0585730i | −0.0644232 | − | 0.997923i | \(-0.520521\pi\) |
−0.342961 | + | 0.939350i | \(0.611430\pi\) | |||||||
\(308\) | 1.33407 | + | 0.974903i | 0.0760157 | + | 0.0555502i | ||||
\(309\) | 4.66505 | − | 4.04229i | 0.265385 | − | 0.229958i | ||||
\(310\) | 1.48152 | + | 2.30528i | 0.0841445 | + | 0.130931i | ||||
\(311\) | 2.05398 | + | 3.19605i | 0.116470 | + | 0.181232i | 0.894594 | − | 0.446879i | \(-0.147465\pi\) |
−0.778124 | + | 0.628111i | \(0.783828\pi\) | |||||||
\(312\) | −0.607311 | − | 0.700874i | −0.0343822 | − | 0.0396792i | ||||
\(313\) | 10.7417 | − | 3.15405i | 0.607156 | − | 0.178277i | 0.0363189 | − | 0.999340i | \(-0.488437\pi\) |
0.570838 | + | 0.821063i | \(0.306619\pi\) | |||||||
\(314\) | 0.122288 | − | 0.850531i | 0.00690110 | − | 0.0479982i | ||||
\(315\) | 0.617531 | − | 10.2999i | 0.0347939 | − | 0.580333i | ||||
\(316\) | −8.71252 | − | 3.97887i | −0.490118 | − | 0.223829i | ||||
\(317\) | −10.1207 | − | 2.97171i | −0.568437 | − | 0.166908i | −0.0151298 | − | 0.999886i | \(-0.504816\pi\) |
−0.553307 | + | 0.832977i | \(0.686634\pi\) | |||||||
\(318\) | −0.0200247 | − | 0.0438480i | −0.00112293 | − | 0.00245887i | ||||
\(319\) | 1.65581 | − | 0.238069i | 0.0927074 | − | 0.0133293i | ||||
\(320\) | −24.4129 | − | 15.6892i | −1.36472 | − | 0.877054i | ||||
\(321\) | −1.79408 | −0.100136 | ||||||||
\(322\) | 1.14196 | + | 1.57578i | 0.0636391 | + | 0.0878145i | ||||
\(323\) | 44.8852 | 2.49748 | ||||||||
\(324\) | −1.66272 | − | 1.06856i | −0.0923733 | − | 0.0593647i | ||||
\(325\) | 15.3673 | − | 2.20948i | 0.852423 | − | 0.122560i | ||||
\(326\) | −0.00772997 | − | 0.0169263i | −0.000428123 | − | 0.000937459i | ||||
\(327\) | −9.04285 | − | 2.65522i | −0.500071 | − | 0.146834i | ||||
\(328\) | −4.35390 | − | 1.98836i | −0.240404 | − | 0.109789i | ||||
\(329\) | −21.9687 | − | 1.31713i | −1.21117 | − | 0.0726160i | ||||
\(330\) | 0.0268974 | − | 0.187076i | 0.00148065 | − | 0.0102982i | ||||
\(331\) | −33.0847 | + | 9.71454i | −1.81850 | + | 0.533959i | −0.999222 | − | 0.0394396i | \(-0.987443\pi\) |
−0.819276 | + | 0.573399i | \(0.805625\pi\) | |||||||
\(332\) | 8.01672 | + | 9.25179i | 0.439975 | + | 0.507758i | ||||
\(333\) | 1.51580 | + | 2.35863i | 0.0830651 | + | 0.129252i | ||||
\(334\) | −0.120852 | − | 0.188050i | −0.00661274 | − | 0.0102896i | ||||
\(335\) | 43.1366 | − | 37.3781i | 2.35681 | − | 2.04218i | ||||
\(336\) | 8.24430 | + | 6.02472i | 0.449764 | + | 0.328675i | ||||
\(337\) | 32.9372 | + | 4.73565i | 1.79420 | + | 0.257968i | 0.957241 | − | 0.289292i | \(-0.0934199\pi\) |
0.836963 | + | 0.547260i | \(0.184329\pi\) | |||||||
\(338\) | 1.07344 | − | 1.23881i | 0.0583873 | − | 0.0673826i | ||||
\(339\) | 7.18717 | − | 15.7377i | 0.390354 | − | 0.854755i | ||||
\(340\) | 43.2083 | + | 12.6871i | 2.34330 | + | 0.688055i | ||||
\(341\) | 0.601352 | + | 1.31678i | 0.0325650 | + | 0.0713075i | ||||
\(342\) | −0.167697 | − | 1.16636i | −0.00906801 | − | 0.0630694i | ||||
\(343\) | 3.30930 | − | 18.2222i | 0.178686 | − | 0.983906i | ||||
\(344\) | − | 4.34205i | − | 0.234108i | ||||||
\(345\) | −8.22632 | + | 16.7974i | −0.442890 | + | 0.904344i | ||||
\(346\) | 2.01074i | 0.108098i | ||||||||
\(347\) | 5.88422 | + | 3.78156i | 0.315882 | + | 0.203005i | 0.688968 | − | 0.724792i | \(-0.258064\pi\) |
−0.373086 | + | 0.927797i | \(0.621700\pi\) | |||||||
\(348\) | 10.3573 | − | 1.48916i | 0.555210 | − | 0.0798272i | ||||
\(349\) | −17.4085 | + | 7.95020i | −0.931856 | + | 0.425564i | −0.822710 | − | 0.568461i | \(-0.807539\pi\) |
−0.109146 | + | 0.994026i | \(0.534812\pi\) | |||||||
\(350\) | 3.86482 | − | 1.49242i | 0.206583 | − | 0.0797735i | ||||
\(351\) | −0.631688 | + | 1.38320i | −0.0337170 | + | 0.0738300i | ||||
\(352\) | 0.432626 | + | 0.374873i | 0.0230590 | + | 0.0199808i | ||||
\(353\) | 18.1844 | + | 2.61453i | 0.967860 | + | 0.139157i | 0.608076 | − | 0.793878i | \(-0.291941\pi\) |
0.359784 | + | 0.933036i | \(0.382850\pi\) | |||||||
\(354\) | 0.162731 | − | 0.0477821i | 0.00864905 | − | 0.00253959i | ||||
\(355\) | 4.20838 | + | 4.85673i | 0.223358 | + | 0.257768i | ||||
\(356\) | 12.6426 | − | 8.12490i | 0.670056 | − | 0.430619i | ||||
\(357\) | −14.5435 | − | 5.23447i | −0.769725 | − | 0.277038i | ||||
\(358\) | −2.20699 | − | 2.54700i | −0.116643 | − | 0.134613i | ||||
\(359\) | 5.72462 | + | 19.4962i | 0.302134 | + | 1.02897i | 0.960962 | + | 0.276680i | \(0.0892341\pi\) |
−0.658829 | + | 0.752293i | \(0.728948\pi\) | |||||||
\(360\) | 0.338497 | − | 2.35430i | 0.0178403 | − | 0.124082i | ||||
\(361\) | −26.2132 | + | 30.2517i | −1.37964 | + | 1.59219i | ||||
\(362\) | −0.915428 | + | 2.00451i | −0.0481138 | + | 0.105355i | ||||
\(363\) | −3.07093 | + | 10.4586i | −0.161182 | + | 0.548935i | ||||
\(364\) | 3.73023 | − | 7.02249i | 0.195517 | − | 0.368078i | ||||
\(365\) | −34.4971 | + | 4.95994i | −1.80566 | + | 0.259615i | ||||
\(366\) | 0.344418 | − | 0.535925i | 0.0180030 | − | 0.0280133i | ||||
\(367\) | 5.10405 | 0.266429 | 0.133215 | − | 0.991087i | \(-0.457470\pi\) | ||||
0.133215 | + | 0.991087i | \(0.457470\pi\) | |||||||
\(368\) | −9.58271 | − | 15.8354i | −0.499533 | − | 0.825476i | ||||
\(369\) | 7.84821i | 0.408562i | ||||||||
\(370\) | −0.906664 | + | 1.41080i | −0.0471352 | + | 0.0733438i | ||||
\(371\) | 0.581187 | − | 0.594729i | 0.0301737 | − | 0.0308768i | ||||
\(372\) | 3.76154 | + | 8.23663i | 0.195027 | + | 0.427049i | ||||
\(373\) | 2.72457 | − | 9.27905i | 0.141073 | − | 0.480451i | −0.858397 | − | 0.512985i | \(-0.828540\pi\) |
0.999471 | + | 0.0325342i | \(0.0103578\pi\) | |||||||
\(374\) | −0.257534 | − | 0.117612i | −0.0133168 | − | 0.00608157i | ||||
\(375\) | 15.3555 | + | 13.3057i | 0.792957 | + | 0.687101i | ||||
\(376\) | −5.02149 | − | 0.721981i | −0.258964 | − | 0.0372333i | ||||
\(377\) | −2.26807 | − | 7.72433i | −0.116811 | − | 0.397823i | ||||
\(378\) | −0.0816831 | + | 0.397475i | −0.00420132 | + | 0.0204439i | ||||
\(379\) | −10.1725 | − | 15.8287i | −0.522526 | − | 0.813066i | 0.475241 | − | 0.879856i | \(-0.342361\pi\) |
−0.997767 | + | 0.0667894i | \(0.978724\pi\) | |||||||
\(380\) | −49.8210 | + | 32.0180i | −2.55577 | + | 1.64249i | ||||
\(381\) | −2.46169 | + | 2.13307i | −0.126116 | + | 0.109280i | ||||
\(382\) | −0.566898 | − | 1.93068i | −0.0290050 | − | 0.0987820i | ||||
\(383\) | 1.40157 | − | 9.74814i | 0.0716169 | − | 0.498107i | −0.922168 | − | 0.386790i | \(-0.873584\pi\) |
0.993785 | − | 0.111317i | \(-0.0355069\pi\) | |||||||
\(384\) | 3.60083 | + | 3.12014i | 0.183754 | + | 0.159224i | ||||
\(385\) | 3.17766 | − | 0.729683i | 0.161949 | − | 0.0371881i | ||||
\(386\) | 0.404502 | + | 0.118773i | 0.0205886 | + | 0.00604537i | ||||
\(387\) | −6.47618 | + | 2.95757i | −0.329203 | + | 0.150342i | ||||
\(388\) | −5.33486 | − | 37.1047i | −0.270836 | − | 1.88371i | ||||
\(389\) | −13.1719 | + | 20.4959i | −0.667842 | + | 1.03918i | 0.327693 | + | 0.944784i | \(0.393729\pi\) |
−0.995535 | + | 0.0943975i | \(0.969908\pi\) | |||||||
\(390\) | −0.909549 | −0.0460568 | ||||||||
\(391\) | 20.6714 | + | 18.9129i | 1.04540 | + | 0.956465i | ||||
\(392\) | 1.10810 | − | 4.12282i | 0.0559673 | − | 0.208234i | ||||
\(393\) | −6.93992 | − | 4.46001i | −0.350072 | − | 0.224978i | ||||
\(394\) | −0.0139797 | − | 0.0972309i | −0.000704287 | − | 0.00489842i | ||||
\(395\) | −17.1915 | + | 7.85111i | −0.864999 | + | 0.395032i | ||||
\(396\) | 0.175948 | − | 0.599223i | 0.00884170 | − | 0.0301121i | ||||
\(397\) | 18.0218 | + | 8.23027i | 0.904487 | + | 0.413065i | 0.812679 | − | 0.582711i | \(-0.198008\pi\) |
0.0918078 | + | 0.995777i | \(0.470735\pi\) | |||||||
\(398\) | 2.14437 | − | 2.47473i | 0.107487 | − | 0.124047i | ||||
\(399\) | 17.7275 | − | 9.94667i | 0.887486 | − | 0.497956i | ||||
\(400\) | −37.8079 | + | 11.1014i | −1.89040 | + | 0.555070i | ||||
\(401\) | −0.260144 | + | 0.225416i | −0.0129910 | + | 0.0112567i | −0.661332 | − | 0.750093i | \(-0.730009\pi\) |
0.648341 | + | 0.761350i | \(0.275463\pi\) | |||||||
\(402\) | −1.88832 | + | 1.21355i | −0.0941809 | + | 0.0605264i | ||||
\(403\) | 5.86057 | − | 3.76636i | 0.291936 | − | 0.187616i | ||||
\(404\) | −17.5569 | + | 15.2132i | −0.873491 | + | 0.756884i | ||||
\(405\) | −3.74200 | + | 1.09875i | −0.185942 | + | 0.0545974i | ||||
\(406\) | −1.05121 | − | 1.87352i | −0.0521705 | − | 0.0929811i | ||||
\(407\) | −0.580144 | + | 0.669522i | −0.0287567 | + | 0.0331870i | ||||
\(408\) | −3.24100 | − | 1.48011i | −0.160453 | − | 0.0732766i | ||||
\(409\) | −4.68515 | + | 15.9562i | −0.231666 | + | 0.788981i | 0.758812 | + | 0.651310i | \(0.225780\pi\) |
−0.990478 | + | 0.137672i | \(0.956038\pi\) | |||||||
\(410\) | −4.27014 | + | 1.95011i | −0.210887 | + | 0.0963089i | ||||
\(411\) | −3.11759 | − | 21.6833i | −0.153779 | − | 1.06956i | ||||
\(412\) | 10.2635 | + | 6.59598i | 0.505648 | + | 0.324960i | ||||
\(413\) | 1.78018 | + | 2.32182i | 0.0875970 | + | 0.114249i | ||||
\(414\) | 0.414226 | − | 0.607814i | 0.0203581 | − | 0.0298724i | ||||
\(415\) | 24.1556 | 1.18575 | ||||||||
\(416\) | 1.48939 | − | 2.31754i | 0.0730236 | − | 0.113627i | ||||
\(417\) | −0.469547 | − | 3.26577i | −0.0229938 | − | 0.159925i | ||||
\(418\) | 0.338684 | − | 0.154672i | 0.0165656 | − | 0.00756525i | ||||
\(419\) | −18.9086 | − | 5.55205i | −0.923744 | − | 0.271236i | −0.214928 | − | 0.976630i | \(-0.568952\pi\) |
−0.708815 | + | 0.705394i | \(0.750770\pi\) | |||||||
\(420\) | 19.8767 | − | 4.56427i | 0.969885 | − | 0.222714i | ||||
\(421\) | −10.2287 | − | 8.86318i | −0.498514 | − | 0.431965i | 0.368961 | − | 0.929445i | \(-0.379713\pi\) |
−0.867476 | + | 0.497480i | \(0.834259\pi\) | |||||||
\(422\) | −0.209585 | + | 1.45770i | −0.0102024 | + | 0.0709596i | ||||
\(423\) | 2.34353 | + | 7.98134i | 0.113947 | + | 0.388066i | ||||
\(424\) | 0.144864 | − | 0.125525i | 0.00703522 | − | 0.00609605i | ||||
\(425\) | 50.1785 | − | 32.2478i | 2.43402 | − | 1.56425i | ||||
\(426\) | −0.136633 | − | 0.212605i | −0.00661989 | − | 0.0103007i | ||||
\(427\) | 10.7647 | + | 2.21219i | 0.520939 | + | 0.107056i | ||||
\(428\) | −0.999010 | − | 3.40232i | −0.0482890 | − | 0.164457i | ||||
\(429\) | −0.475589 | − | 0.0683794i | −0.0229617 | − | 0.00330139i | ||||
\(430\) | −3.21838 | − | 2.78874i | −0.155204 | − | 0.134485i | ||||
\(431\) | −31.0510 | − | 14.1805i | −1.49567 | − | 0.683051i | −0.511341 | − | 0.859378i | \(-0.670851\pi\) |
−0.984332 | + | 0.176328i | \(0.943578\pi\) | |||||||
\(432\) | 1.08732 | − | 3.70308i | 0.0523139 | − | 0.178165i | ||||
\(433\) | −11.1572 | − | 24.4308i | −0.536179 | − | 1.17407i | −0.962943 | − | 0.269705i | \(-0.913074\pi\) |
0.426764 | − | 0.904363i | \(-0.359653\pi\) | |||||||
\(434\) | 1.29930 | − | 1.32958i | 0.0623684 | − | 0.0638217i | ||||
\(435\) | 11.1627 | − | 17.3695i | 0.535211 | − | 0.832805i | ||||
\(436\) | − | 18.6275i | − | 0.892098i | ||||||
\(437\) | −36.5997 | + | 4.25712i | −1.75080 | + | 0.203646i | ||||
\(438\) | 1.37059 | 0.0654892 | ||||||||
\(439\) | 10.2641 | − | 15.9713i | 0.489880 | − | 0.762268i | −0.505023 | − | 0.863106i | \(-0.668516\pi\) |
0.994903 | + | 0.100838i | \(0.0321524\pi\) | |||||||
\(440\) | 0.743902 | − | 0.106957i | 0.0354641 | − | 0.00509897i | ||||
\(441\) | −6.90397 | + | 1.15551i | −0.328760 | + | 0.0550245i | ||||
\(442\) | −0.383860 | + | 1.30731i | −0.0182583 | + | 0.0621822i | ||||
\(443\) | −1.64179 | + | 3.59501i | −0.0780036 | + | 0.170804i | −0.944616 | − | 0.328178i | \(-0.893565\pi\) |
0.866612 | + | 0.498982i | \(0.166293\pi\) | |||||||
\(444\) | −3.62888 | + | 4.18795i | −0.172219 | + | 0.198751i | ||||
\(445\) | 4.22017 | − | 29.3519i | 0.200055 | − | 1.39142i | ||||
\(446\) | 0.743900 | + | 2.53349i | 0.0352247 | + | 0.119964i | ||||
\(447\) | 5.39908 | + | 6.23087i | 0.255368 | + | 0.294710i | ||||
\(448\) | −6.66701 | + | 18.5237i | −0.314987 | + | 0.875163i | ||||
\(449\) | −6.44486 | + | 4.14186i | −0.304152 | + | 0.195467i | −0.683810 | − | 0.729660i | \(-0.739678\pi\) |
0.379658 | + | 0.925127i | \(0.376042\pi\) | |||||||
\(450\) | −1.02544 | − | 1.18342i | −0.0483398 | − | 0.0557871i | ||||
\(451\) | −2.37940 | + | 0.698654i | −0.112042 | + | 0.0328984i | ||||
\(452\) | 33.8473 | + | 4.86651i | 1.59205 | + | 0.228902i | ||||
\(453\) | 6.97369 | + | 6.04273i | 0.327652 | + | 0.283912i | ||||
\(454\) | 0.765505 | − | 1.67622i | 0.0359269 | − | 0.0786690i | ||||
\(455\) | −5.65215 | − | 14.6369i | −0.264977 | − | 0.686190i | ||||
\(456\) | 4.26225 | − | 1.94650i | 0.199598 | − | 0.0911534i | ||||
\(457\) | 24.8361 | − | 3.57089i | 1.16178 | − | 0.167039i | 0.465662 | − | 0.884963i | \(-0.345816\pi\) |
0.696122 | + | 0.717923i | \(0.254907\pi\) | |||||||
\(458\) | 1.72770 | + | 1.11033i | 0.0807303 | + | 0.0518822i | ||||
\(459\) | 5.84214i | 0.272688i | ||||||||
\(460\) | −36.4357 | − | 6.24707i | −1.69882 | − | 0.291271i | ||||
\(461\) | − | 20.4941i | − | 0.954504i | −0.878766 | − | 0.477252i | \(-0.841633\pi\) | ||
0.878766 | − | 0.477252i | \(-0.158367\pi\) | |||||||
\(462\) | −0.127777 | + | 0.0106191i | −0.00594472 | + | 0.000494046i | ||||
\(463\) | −2.11065 | − | 14.6799i | −0.0980904 | − | 0.682234i | −0.978231 | − | 0.207520i | \(-0.933461\pi\) |
0.880140 | − | 0.474714i | \(-0.157448\pi\) | |||||||
\(464\) | 8.48794 | + | 18.5860i | 0.394043 | + | 0.862833i | ||||
\(465\) | 17.1434 | + | 5.03375i | 0.795005 | + | 0.233435i | ||||
\(466\) | 1.13996 | − | 2.49616i | 0.0528075 | − | 0.115632i | ||||
\(467\) | 6.73405 | − | 7.77150i | 0.311615 | − | 0.359622i | −0.578240 | − | 0.815867i | \(-0.696260\pi\) |
0.889855 | + | 0.456244i | \(0.150806\pi\) | |||||||
\(468\) | −2.97488 | − | 0.427723i | −0.137514 | − | 0.0197715i | ||||
\(469\) | −31.2635 | − | 22.8466i | −1.44362 | − | 1.05496i | ||||
\(470\) | −3.76026 | + | 3.25828i | −0.173448 | + | 0.150293i | ||||
\(471\) | −3.02900 | − | 4.71321i | −0.139569 | − | 0.217173i | ||||
\(472\) | 0.364616 | + | 0.567354i | 0.0167828 | + | 0.0261146i | ||||
\(473\) | −1.47318 | − | 1.70014i | −0.0677371 | − | 0.0781727i | ||||
\(474\) | 0.713134 | − | 0.209395i | 0.0327553 | − | 0.00961783i | ||||
\(475\) | −11.1635 | + | 77.6440i | −0.512217 | + | 3.56255i | ||||
\(476\) | 1.82835 | − | 30.4953i | 0.0838023 | − | 1.39775i | ||||
\(477\) | −0.285895 | − | 0.130564i | −0.0130902 | − | 0.00597811i | ||||
\(478\) | −3.52507 | − | 1.03506i | −0.161233 | − | 0.0473423i | ||||
\(479\) | −9.96378 | − | 21.8176i | −0.455257 | − | 0.996873i | −0.988543 | − | 0.150938i | \(-0.951770\pi\) |
0.533286 | − | 0.845935i | \(-0.320957\pi\) | |||||||
\(480\) | 6.99358 | − | 1.00552i | 0.319212 | − | 0.0458957i | ||||
\(481\) | 3.58657 | + | 2.30495i | 0.163534 | + | 0.105097i | ||||
\(482\) | 0.299857 | 0.0136581 | ||||||||
\(483\) | 12.3553 | + | 2.88885i | 0.562188 | + | 0.131447i | ||||
\(484\) | −21.5439 | −0.979269 | ||||||||
\(485\) | −62.2257 | − | 39.9901i | −2.82553 | − | 1.81585i | ||||
\(486\) | 0.151810 | − | 0.0218270i | 0.00688623 | − | 0.000990091i | ||||
\(487\) | −16.8700 | − | 36.9401i | −0.764452 | − | 1.67392i | −0.738500 | − | 0.674253i | \(-0.764466\pi\) |
−0.0259518 | − | 0.999663i | \(-0.508262\pi\) | |||||||
\(488\) | 2.43062 | + | 0.713695i | 0.110029 | + | 0.0323075i | ||||
\(489\) | −0.110362 | − | 0.0504005i | −0.00499072 | − | 0.00227919i | ||||
\(490\) | −2.34419 | − | 3.46927i | −0.105900 | − | 0.156725i | ||||
\(491\) | 5.61128 | − | 39.0273i | 0.253234 | − | 1.76128i | −0.325291 | − | 0.945614i | \(-0.605462\pi\) |
0.578525 | − | 0.815665i | \(-0.303629\pi\) | |||||||
\(492\) | −14.8835 | + | 4.37018i | −0.670999 | + | 0.197023i | ||||
\(493\) | −20.2544 | − | 23.3748i | −0.912211 | − | 1.05275i | ||||
\(494\) | −0.968733 | − | 1.50738i | −0.0435854 | − | 0.0678202i | ||||
\(495\) | −0.666232 | − | 1.03668i | −0.0299449 | − | 0.0465952i | ||||
\(496\) | −13.3626 | + | 11.5788i | −0.600000 | + | 0.519903i | ||||
\(497\) | 2.57228 | − | 3.51994i | 0.115383 | − | 0.157891i | ||||
\(498\) | −0.940278 | − | 0.135192i | −0.0421349 | − | 0.00605808i | ||||
\(499\) | 19.2552 | − | 22.2217i | 0.861980 | − | 0.994778i | −0.138011 | − | 0.990431i | \(-0.544071\pi\) |
0.999991 | − | 0.00434705i | \(-0.00138371\pi\) | |||||||
\(500\) | −16.6825 | + | 36.5296i | −0.746065 | + | 1.63365i | ||||
\(501\) | −1.39844 | − | 0.410620i | −0.0624778 | − | 0.0183451i | ||||
\(502\) | −0.254815 | − | 0.557966i | −0.0113729 | − | 0.0249033i | ||||
\(503\) | 1.60036 | + | 11.1308i | 0.0713567 | + | 0.496297i | 0.993890 | + | 0.110378i | \(0.0352063\pi\) |
−0.922533 | + | 0.385918i | \(0.873885\pi\) | |||||||
\(504\) | −1.60804 | + | 0.133639i | −0.0716277 | + | 0.00595274i | ||||
\(505\) | 45.8397i | 2.03984i | ||||||||
\(506\) | 0.221150 | + | 0.0714758i | 0.00983131 | + | 0.00317749i | ||||
\(507\) | − | 10.6877i | − | 0.474658i | ||||||
\(508\) | −5.41595 | − | 3.48062i | −0.240294 | − | 0.154428i | ||||
\(509\) | 29.6469 | − | 4.26258i | 1.31408 | − | 0.188936i | 0.550599 | − | 0.834770i | \(-0.314399\pi\) |
0.763478 | + | 0.645834i | \(0.223490\pi\) | |||||||
\(510\) | −3.17865 | + | 1.45164i | −0.140753 | + | 0.0642798i | ||||
\(511\) | 8.51714 | + | 22.0562i | 0.376776 | + | 0.975708i | ||||
\(512\) | −4.86017 | + | 10.6423i | −0.214791 | + | 0.470327i | ||||
\(513\) | −5.80643 | − | 5.03130i | −0.256360 | − | 0.222137i | ||||
\(514\) | 3.92470 | + | 0.564287i | 0.173111 | + | 0.0248896i | ||||
\(515\) | 23.0984 | − | 6.78231i | 1.01784 | − | 0.298864i | ||||
\(516\) | −9.21497 | − | 10.6346i | −0.405667 | − | 0.468164i | ||||
\(517\) | −2.21114 | + | 1.42101i | −0.0972457 | + | 0.0624960i | ||||
\(518\) | 1.07047 | + | 0.385280i | 0.0470336 | + | 0.0169282i | ||||
\(519\) | 8.58543 | + | 9.90812i | 0.376859 | + | 0.434918i | ||||
\(520\) | −1.01897 | − | 3.47030i | −0.0446848 | − | 0.152183i | ||||
\(521\) | −0.236360 | + | 1.64392i | −0.0103551 | + | 0.0720214i | −0.994344 | − | 0.106210i | \(-0.966128\pi\) |
0.983989 | + | 0.178231i | \(0.0570375\pi\) | |||||||
\(522\) | −0.531729 | + | 0.613648i | −0.0232732 | + | 0.0268586i | ||||
\(523\) | −17.1434 | + | 37.5389i | −0.749631 | + | 1.64146i | 0.0173976 | + | 0.999849i | \(0.494462\pi\) |
−0.767028 | + | 0.641613i | \(0.778265\pi\) | |||||||
\(524\) | 4.59363 | − | 15.6445i | 0.200674 | − | 0.683432i | ||||
\(525\) | 12.6719 | − | 23.8560i | 0.553048 | − | 1.04116i | ||||
\(526\) | −0.308335 | + | 0.0443318i | −0.0134440 | + | 0.00193296i | ||||
\(527\) | 14.4701 | − | 22.5160i | 0.630329 | − | 0.980811i | ||||
\(528\) | 1.21948 | 0.0530713 | ||||||||
\(529\) | −18.6494 | − | 13.4611i | −0.810842 | − | 0.585265i | ||||
\(530\) | − | 0.187995i | − | 0.00816599i | ||||||
\(531\) | 0.597853 | − | 0.930277i | 0.0259446 | − | 0.0403706i | ||||
\(532\) | 28.7344 | + | 28.0801i | 1.24579 | + | 1.21742i | ||||
\(533\) | 4.95763 | + | 10.8557i | 0.214739 | + | 0.470212i | ||||
\(534\) | −0.328547 | + | 1.11893i | −0.0142176 | + | 0.0484208i | ||||
\(535\) | −6.36457 | − | 2.90660i | −0.275164 | − | 0.125663i | ||||
\(536\) | −6.74568 | − | 5.84516i | −0.291369 | − | 0.252473i | ||||
\(537\) | −21.7503 | − | 3.12722i | −0.938596 | − | 0.134950i | ||||
\(538\) | −0.0438078 | − | 0.149196i | −0.00188869 | − | 0.00643228i | ||||
\(539\) | −0.964922 | − | 1.99026i | −0.0415621 | − | 0.0857266i | ||||
\(540\) | −4.16738 | − | 6.48457i | −0.179335 | − | 0.279051i | ||||
\(541\) | −2.59298 | + | 1.66641i | −0.111481 | + | 0.0716446i | −0.595193 | − | 0.803583i | \(-0.702925\pi\) |
0.483712 | + | 0.875227i | \(0.339288\pi\) | |||||||
\(542\) | 0.339480 | − | 0.294161i | 0.0145819 | − | 0.0126353i | ||||
\(543\) | 4.04796 | + | 13.7861i | 0.173714 | + | 0.591617i | ||||
\(544\) | 1.50627 | − | 10.4763i | 0.0645807 | − | 0.449168i | ||||
\(545\) | −27.7782 | − | 24.0699i | −1.18989 | − | 1.03104i | ||||
\(546\) | 0.138096 | + | 0.601388i | 0.00590996 | + | 0.0257370i | ||||
\(547\) | 1.70078 | + | 0.499393i | 0.0727200 | + | 0.0213525i | 0.317890 | − | 0.948128i | \(-0.397026\pi\) |
−0.245170 | + | 0.969480i | \(0.578844\pi\) | |||||||
\(548\) | 39.3846 | − | 17.9863i | 1.68243 | − | 0.768338i | ||||
\(549\) | −0.591132 | − | 4.11141i | −0.0252289 | − | 0.175471i | ||||
\(550\) | 0.267501 | − | 0.416240i | 0.0114063 | − | 0.0177485i | ||||
\(551\) | 40.6752 | 1.73282 | ||||||||
\(552\) | 2.78311 | + | 0.899504i | 0.118457 | + | 0.0382854i | ||||
\(553\) | 7.80127 | + | 10.1749i | 0.331744 | + | 0.432680i | ||||
\(554\) | 2.08661 | + | 1.34098i | 0.0886516 | + | 0.0569729i | ||||
\(555\) | 1.55613 | + | 10.8231i | 0.0660539 | + | 0.459415i | ||||
\(556\) | 5.93180 | − | 2.70896i | 0.251564 | − | 0.114886i | ||||
\(557\) | −4.17107 | + | 14.2054i | −0.176734 | + | 0.601900i | 0.822707 | + | 0.568466i | \(0.192463\pi\) |
−0.999441 | + | 0.0334347i | \(0.989355\pi\) | |||||||
\(558\) | −0.639147 | − | 0.291889i | −0.0270573 | − | 0.0123566i | ||||
\(559\) | −7.08962 | + | 8.18186i | −0.299859 | + | 0.346056i | ||||
\(560\) | 19.4863 | + | 34.7296i | 0.823448 | + | 1.46760i | ||||
\(561\) | −1.77120 | + | 0.520072i | −0.0747802 | + | 0.0219574i | ||||
\(562\) | −2.30987 | + | 2.00151i | −0.0974358 | + | 0.0844286i | ||||
\(563\) | −2.89841 | + | 1.86269i | −0.122153 | + | 0.0785032i | −0.600291 | − | 0.799782i | \(-0.704948\pi\) |
0.478137 | + | 0.878285i | \(0.341312\pi\) | |||||||
\(564\) | −13.8310 | + | 8.88863i | −0.582389 | + | 0.374279i | ||||
\(565\) | 50.9937 | − | 44.1863i | 2.14532 | − | 1.85893i | ||||
\(566\) | −1.99543 | + | 0.585910i | −0.0838740 | + | 0.0246276i | ||||
\(567\) | 1.29463 | + | 2.30736i | 0.0543694 | + | 0.0969002i | ||||
\(568\) | 0.658103 | − | 0.759492i | 0.0276134 | − | 0.0318676i | ||||
\(569\) | 24.5111 | + | 11.1938i | 1.02756 | + | 0.469270i | 0.856585 | − | 0.516005i | \(-0.172582\pi\) |
0.170973 | + | 0.985276i | \(0.445309\pi\) | |||||||
\(570\) | 1.29471 | − | 4.40939i | 0.0542296 | − | 0.184689i | ||||
\(571\) | 13.8887 | − | 6.34274i | 0.581223 | − | 0.265436i | −0.103033 | − | 0.994678i | \(-0.532855\pi\) |
0.684255 | + | 0.729242i | \(0.260127\pi\) | |||||||
\(572\) | −0.135150 | − | 0.939992i | −0.00565092 | − | 0.0393030i | ||||
\(573\) | −11.0370 | − | 7.09306i | −0.461078 | − | 0.296317i | ||||
\(574\) | 1.93773 | + | 2.52730i | 0.0808792 | + | 0.105488i | ||||
\(575\) | −37.8573 | + | 31.0542i | −1.57876 | + | 1.29505i | ||||
\(576\) | 7.44098 | 0.310041 | ||||||||
\(577\) | −6.12698 | + | 9.53377i | −0.255070 | + | 0.396896i | −0.945047 | − | 0.326935i | \(-0.893984\pi\) |
0.689977 | + | 0.723831i | \(0.257621\pi\) | |||||||
\(578\) | 0.373908 | + | 2.60059i | 0.0155525 | + | 0.108170i | ||||
\(579\) | 2.50036 | − | 1.14187i | 0.103911 | − | 0.0474547i | ||||
\(580\) | 39.1557 | + | 11.4971i | 1.62585 | + | 0.477393i | ||||
\(581\) | −3.66753 | − | 15.9715i | −0.152155 | − | 0.662611i | ||||
\(582\) | 2.19837 | + | 1.90490i | 0.0911256 | + | 0.0789608i | ||||
\(583\) | 0.0141334 | − | 0.0982998i | 0.000585344 | − | 0.00407116i | ||||
\(584\) | 1.53547 | + | 5.22934i | 0.0635383 | + | 0.216392i | ||||
\(585\) | −4.48189 | + | 3.88358i | −0.185303 | + | 0.160566i | ||||
\(586\) | 2.71250 | − | 1.74322i | 0.112053 | − | 0.0720118i | ||||
\(587\) | −7.21304 | − | 11.2237i | −0.297714 | − | 0.463252i | 0.659881 | − | 0.751370i | \(-0.270607\pi\) |
−0.957595 | + | 0.288118i | \(0.906970\pi\) | |||||||
\(588\) | −6.03573 | − | 12.4494i | −0.248909 | − | 0.513403i | ||||
\(589\) | 9.91655 | + | 33.7727i | 0.408604 | + | 1.39158i | ||||
\(590\) | 0.654708 | + | 0.0941328i | 0.0269539 | + | 0.00387539i | ||||
\(591\) | −0.484041 | − | 0.419424i | −0.0199108 | − | 0.0172528i | ||||
\(592\) | −9.84282 | − | 4.49507i | −0.404537 | − | 0.184746i | ||||
\(593\) | −9.41855 | + | 32.0766i | −0.386773 | + | 1.31723i | 0.504362 | + | 0.863492i | \(0.331728\pi\) |
−0.891136 | + | 0.453737i | \(0.850091\pi\) | |||||||
\(594\) | 0.0201317 | + | 0.0440822i | 0.000826012 | + | 0.00180872i | ||||
\(595\) | −43.1134 | − | 42.1317i | −1.76748 | − | 1.72723i | ||||
\(596\) | −8.80991 | + | 13.7085i | −0.360868 | + | 0.561522i | ||||
\(597\) | − | 21.3505i | − | 0.873816i | ||||||
\(598\) | 0.189011 | − | 1.10239i | 0.00772922 | − | 0.0450802i | ||||
\(599\) | 3.92761 | 0.160478 | 0.0802389 | − | 0.996776i | \(-0.474432\pi\) | ||||
0.0802389 | + | 0.996776i | \(0.474432\pi\) | |||||||
\(600\) | 3.36643 | − | 5.23827i | 0.137434 | − | 0.213851i | ||||
\(601\) | 18.1571 | − | 2.61060i | 0.740645 | − | 0.106489i | 0.238343 | − | 0.971181i | \(-0.423396\pi\) |
0.502302 | + | 0.864692i | \(0.332487\pi\) | |||||||
\(602\) | −1.35525 | + | 2.55138i | −0.0552359 | + | 0.103986i | ||||
\(603\) | −4.12328 | + | 14.0426i | −0.167913 | + | 0.571859i | ||||
\(604\) | −7.57632 | + | 16.5898i | −0.308276 | + | 0.675031i | ||||
\(605\) | −27.8384 | + | 32.1272i | −1.13179 | + | 1.30616i | ||||
\(606\) | 0.256550 | − | 1.78435i | 0.0104216 | − | 0.0724841i | ||||
\(607\) | 9.63264 | + | 32.8057i | 0.390977 | + | 1.33154i | 0.886411 | + | 0.462899i | \(0.153191\pi\) |
−0.495434 | + | 0.868645i | \(0.664991\pi\) | |||||||
\(608\) | 9.11509 | + | 10.5194i | 0.369666 | + | 0.426617i | ||||
\(609\) | −13.1794 | − | 4.74351i | −0.534057 | − | 0.192217i | ||||
\(610\) | 2.09010 | − | 1.34322i | 0.0846256 | − | 0.0543856i | ||||
\(611\) | 8.28331 | + | 9.55945i | 0.335107 | + | 0.386734i | ||||
\(612\) | −11.0791 | + | 3.25312i | −0.447847 | + | 0.131500i | ||||
\(613\) | −3.90188 | − | 0.561006i | −0.157595 | − | 0.0226588i | 0.0630654 | − | 0.998009i | \(-0.479912\pi\) |
−0.220661 | + | 0.975351i | \(0.570821\pi\) | |||||||
\(614\) | 0.835867 | + | 0.724283i | 0.0337329 | + | 0.0292297i | ||||
\(615\) | −12.7150 | + | 27.8419i | −0.512717 | + | 1.12269i | ||||
\(616\) | −0.183665 | − | 0.475623i | −0.00740007 | − | 0.0191634i | ||||
\(617\) | 37.6375 | − | 17.1885i | 1.51523 | − | 0.691982i | 0.527702 | − | 0.849430i | \(-0.323054\pi\) |
0.987527 | + | 0.157447i | \(0.0503265\pi\) | |||||||
\(618\) | −0.937084 | + | 0.134732i | −0.0376950 | + | 0.00541973i | ||||
\(619\) | 23.0166 | + | 14.7919i | 0.925115 | + | 0.594535i | 0.914138 | − | 0.405404i | \(-0.132869\pi\) |
0.0109778 | + | 0.999940i | \(0.496506\pi\) | |||||||
\(620\) | 35.3140i | 1.41824i | ||||||||
\(621\) | −0.554095 | − | 4.76371i | −0.0222351 | − | 0.191161i | ||||
\(622\) | − | 0.582680i | − | 0.0233633i | ||||||
\(623\) | −20.0480 | + | 1.66613i | −0.803208 | + | 0.0667520i | ||||
\(624\) | −0.835204 | − | 5.80897i | −0.0334349 | − | 0.232545i | ||||
\(625\) | 11.7113 | + | 25.6441i | 0.468451 | + | 1.02576i | ||||
\(626\) | −1.64746 | − | 0.483739i | −0.0658459 | − | 0.0193341i | ||||
\(627\) | 1.00848 | − | 2.20827i | 0.0402749 | − | 0.0881897i | ||||
\(628\) | 7.25155 | − | 8.36874i | 0.289368 | − | 0.333949i | ||||
\(629\) | 16.2129 | + | 2.33106i | 0.646451 | + | 0.0929456i | ||||
\(630\) | −0.933728 | + | 1.27773i | −0.0372006 | + | 0.0509058i | ||||
\(631\) | −27.4594 | + | 23.7937i | −1.09314 | + | 0.947213i | −0.998831 | − | 0.0483296i | \(-0.984610\pi\) |
−0.0943108 | + | 0.995543i | \(0.530065\pi\) | |||||||
\(632\) | 1.59785 | + | 2.48631i | 0.0635592 | + | 0.0989000i | ||||
\(633\) | 5.19130 | + | 8.07782i | 0.206336 | + | 0.321064i | ||||
\(634\) | 1.05940 | + | 1.22262i | 0.0420743 | + | 0.0485564i | ||||
\(635\) | −12.1888 | + | 3.57895i | −0.483697 | + | 0.142026i | ||||
\(636\) | 0.0884063 | − | 0.614879i | 0.00350554 | − | 0.0243815i | ||||
\(637\) | −8.81968 | + | 5.95947i | −0.349448 | + | 0.236123i | ||||
\(638\) | −0.233379 | − | 0.106581i | −0.00923956 | − | 0.00421957i | ||||
\(639\) | −1.58105 | − | 0.464238i | −0.0625453 | − | 0.0183650i | ||||
\(640\) | 7.71914 | + | 16.9026i | 0.305126 | + | 0.668133i | ||||
\(641\) | 28.0494 | − | 4.03289i | 1.10788 | − | 0.159290i | 0.436000 | − | 0.899947i | \(-0.356395\pi\) |
0.671883 | + | 0.740657i | \(0.265486\pi\) | |||||||
\(642\) | 0.231479 | + | 0.148762i | 0.00913573 | + | 0.00587118i | ||||
\(643\) | −19.9096 | −0.785158 | −0.392579 | − | 0.919718i | \(-0.628417\pi\) | ||||
−0.392579 | + | 0.919718i | \(0.628417\pi\) | |||||||
\(644\) | 1.40147 | + | 25.0395i | 0.0552257 | + | 0.986694i | ||||
\(645\) | −27.7662 | −1.09329 | ||||||||
\(646\) | −5.79126 | − | 3.72182i | −0.227854 | − | 0.146433i | ||||
\(647\) | −15.6964 | + | 2.25680i | −0.617089 | + | 0.0887240i | −0.443768 | − | 0.896142i | \(-0.646359\pi\) |
−0.173320 | + | 0.984866i | \(0.555450\pi\) | |||||||
\(648\) | 0.253352 | + | 0.554763i | 0.00995259 | + | 0.0217931i | ||||
\(649\) | 0.335260 | + | 0.0984412i | 0.0131601 | + | 0.00386416i | ||||
\(650\) | −2.16595 | − | 0.989157i | −0.0849556 | − | 0.0387979i | ||||
\(651\) | 0.725418 | − | 12.0993i | 0.0284314 | − | 0.474211i | ||||
\(652\) | 0.0341267 | − | 0.237356i | 0.00133650 | − | 0.00929560i | ||||
\(653\) | −2.02618 | + | 0.594939i | −0.0792904 | + | 0.0232818i | −0.321137 | − | 0.947033i | \(-0.604065\pi\) |
0.241847 | + | 0.970314i | \(0.422247\pi\) | |||||||
\(654\) | 0.946577 | + | 1.09241i | 0.0370141 | + | 0.0427165i | ||||
\(655\) | −17.3940 | − | 27.0655i | −0.679638 | − | 1.05754i | ||||
\(656\) | −16.3758 | − | 25.4812i | −0.639366 | − | 0.994873i | ||||
\(657\) | 6.75370 | − | 5.85211i | 0.263487 | − | 0.228313i | ||||
\(658\) | 2.72527 | + | 1.99155i | 0.106242 | + | 0.0776389i | ||||
\(659\) | −1.85554 | − | 0.266787i | −0.0722817 | − | 0.0103925i | 0.106079 | − | 0.994358i | \(-0.466170\pi\) |
−0.178361 | + | 0.983965i | \(0.557079\pi\) | |||||||
\(660\) | 1.59499 | − | 1.84072i | 0.0620849 | − | 0.0716498i | ||||
\(661\) | −1.37331 | + | 3.00712i | −0.0534154 | + | 0.116963i | −0.934458 | − | 0.356074i | \(-0.884115\pi\) |
0.881042 | + | 0.473037i | \(0.156842\pi\) | |||||||
\(662\) | 5.07423 | + | 1.48993i | 0.197215 | + | 0.0579077i | ||||
\(663\) | 3.69041 | + | 8.08087i | 0.143324 | + | 0.313835i | ||||
\(664\) | −0.537586 | − | 3.73899i | −0.0208624 | − | 0.145101i | ||||
\(665\) | 79.0039 | − | 6.56576i | 3.06364 | − | 0.254609i | ||||
\(666\) | − | 0.430007i | − | 0.0166624i | ||||||
\(667\) | 18.7325 | + | 17.1389i | 0.725326 | + | 0.663623i | ||||
\(668\) | − | 2.88068i | − | 0.111457i | ||||||
\(669\) | 14.4831 | + | 9.30772i | 0.559949 | + | 0.359857i | ||||
\(670\) | −8.66500 | + | 1.24584i | −0.334758 | + | 0.0481309i | ||||
\(671\) | 1.19386 | − | 0.545219i | 0.0460886 | − | 0.0210479i | ||||
\(672\) | −1.72667 | − | 4.47144i | −0.0666079 | − | 0.172489i | ||||
\(673\) | 4.91787 | − | 10.7686i | 0.189570 | − | 0.415100i | −0.790852 | − | 0.612007i | \(-0.790362\pi\) |
0.980422 | + | 0.196907i | \(0.0630897\pi\) | |||||||
\(674\) | −3.85701 | − | 3.34212i | −0.148567 | − | 0.128734i | ||||
\(675\) | −10.1059 | − | 1.45301i | −0.388977 | − | 0.0559265i | ||||
\(676\) | 20.2684 | − | 5.95133i | 0.779552 | − | 0.228897i | ||||
\(677\) | −14.4340 | − | 16.6578i | −0.554746 | − | 0.640211i | 0.407237 | − | 0.913323i | \(-0.366492\pi\) |
−0.961982 | + | 0.273112i | \(0.911947\pi\) | |||||||
\(678\) | −2.23227 | + | 1.43459i | −0.0857297 | + | 0.0550951i | ||||
\(679\) | −16.9935 | + | 47.2149i | −0.652150 | + | 1.81194i | ||||
\(680\) | −9.09965 | − | 10.5016i | −0.348956 | − | 0.402716i | ||||
\(681\) | −3.38501 | − | 11.5283i | −0.129714 | − | 0.441765i | ||||
\(682\) | 0.0315966 | − | 0.219759i | 0.00120990 | − | 0.00841501i | ||||
\(683\) | −7.06958 | + | 8.15873i | −0.270510 | + | 0.312185i | −0.874709 | − | 0.484648i | \(-0.838948\pi\) |
0.604199 | + | 0.796833i | \(0.293493\pi\) | |||||||
\(684\) | 6.30820 | − | 13.8130i | 0.241200 | − | 0.528155i | ||||
\(685\) | 24.0696 | − | 81.9734i | 0.919651 | − | 3.13204i | ||||
\(686\) | −1.93794 | + | 2.07670i | −0.0739908 | + | 0.0792886i | ||||
\(687\) | 13.2543 | − | 1.90568i | 0.505682 | − | 0.0727062i | ||||
\(688\) | 14.8554 | − | 23.1154i | 0.566356 | − | 0.881268i | ||||
\(689\) | −0.477927 | −0.0182076 | ||||||||
\(690\) | 2.45421 | − | 1.48516i | 0.0934303 | − | 0.0565389i | ||||
\(691\) | − | 44.6466i | − | 1.69844i | −0.528040 | − | 0.849219i | \(-0.677073\pi\) | ||
0.528040 | − | 0.849219i | \(-0.322927\pi\) | |||||||
\(692\) | −14.0092 | + | 21.7988i | −0.532551 | + | 0.828665i | ||||
\(693\) | −0.584291 | + | 0.597906i | −0.0221954 | + | 0.0227126i | ||||
\(694\) | −0.445643 | − | 0.975823i | −0.0169164 | − | 0.0370417i | ||||
\(695\) | 3.62517 | − | 12.3462i | 0.137511 | − | 0.468318i | ||||
\(696\) | −2.93701 | − | 1.34129i | −0.111327 | − | 0.0508414i | ||||
\(697\) | 34.6514 | + | 30.0256i | 1.31251 | + | 1.13730i | ||||
\(698\) | 2.90533 | + | 0.417724i | 0.109968 | + | 0.0158111i | ||||
\(699\) | −5.04081 | − | 17.1674i | −0.190661 | − | 0.649331i | ||||
\(700\) | 52.2971 | + | 10.7473i | 1.97665 | + | 0.406210i | ||||
\(701\) | 14.0858 | + | 21.9179i | 0.532012 | + | 0.827827i | 0.998388 | − | 0.0567598i | \(-0.0180769\pi\) |
−0.466376 | + | 0.884587i | \(0.654441\pi\) | |||||||
\(702\) | 0.196196 | − | 0.126088i | 0.00740495 | − | 0.00475887i | ||||
\(703\) | −16.2795 | + | 14.1063i | −0.613994 | + | 0.532029i | ||||
\(704\) | 0.662402 | + | 2.25593i | 0.0249652 | + | 0.0850237i | ||||
\(705\) | −4.61686 | + | 32.1110i | −0.173881 | + | 1.20937i | ||||
\(706\) | −2.12943 | − | 1.84516i | −0.0801423 | − | 0.0694437i | ||||
\(707\) | 30.3089 | − | 6.95979i | 1.13988 | − | 0.261750i | ||||
\(708\) | 2.09710 | + | 0.615764i | 0.0788138 | + | 0.0231418i | ||||
\(709\) | 27.0919 | − | 12.3724i | 1.01746 | − | 0.464657i | 0.164355 | − | 0.986401i | \(-0.447446\pi\) |
0.853102 | + | 0.521744i | \(0.174718\pi\) | |||||||
\(710\) | −0.140268 | − | 0.975587i | −0.00526417 | − | 0.0366131i | ||||
\(711\) | 2.61996 | − | 4.07674i | 0.0982563 | − | 0.152890i | ||||
\(712\) | −4.63724 | −0.173788 | ||||||||
\(713\) | −9.66352 | + | 19.7321i | −0.361902 | + | 0.738972i | ||||
\(714\) | 1.44243 | + | 1.88130i | 0.0539815 | + | 0.0704059i | ||||
\(715\) | −1.57639 | − | 1.01309i | −0.0589538 | − | 0.0378873i | ||||
\(716\) | −6.18089 | − | 42.9890i | −0.230991 | − | 1.60657i | ||||
\(717\) | −21.7896 | + | 9.95097i | −0.813747 | + | 0.371626i | ||||
\(718\) | 0.877990 | − | 2.99016i | 0.0327663 | − | 0.111592i | ||||
\(719\) | −4.61158 | − | 2.10604i | −0.171983 | − | 0.0785420i | 0.327563 | − | 0.944829i | \(-0.393773\pi\) |
−0.499546 | + | 0.866287i | \(0.666500\pi\) | |||||||
\(720\) | 9.85674 | − | 11.3753i | 0.367339 | − | 0.423932i | ||||
\(721\) | −7.99143 | − | 14.2428i | −0.297616 | − | 0.530429i | ||||
\(722\) | 5.89056 | − | 1.72962i | 0.219224 | − | 0.0643699i | ||||
\(723\) | 1.47758 | − | 1.28033i | 0.0549516 | − | 0.0476158i | ||||
\(724\) | −23.8901 | + | 15.3532i | −0.887868 | + | 0.570598i | ||||
\(725\) | 45.4720 | − | 29.2231i | 1.68879 | − | 1.08532i | ||||
\(726\) | 1.26344 | − | 1.09478i | 0.0468906 | − | 0.0406309i | ||||
\(727\) | −34.5922 | + | 10.1572i | −1.28295 | + | 0.376709i | −0.850990 | − | 0.525182i | \(-0.823997\pi\) |
−0.431964 | + | 0.901891i | \(0.642179\pi\) | |||||||
\(728\) | −2.13983 | + | 1.20063i | −0.0793072 | + | 0.0444982i | ||||
\(729\) | 0.654861 | − | 0.755750i | 0.0242541 | − | 0.0279907i | ||||
\(730\) | 4.86222 | + | 2.22050i | 0.179959 | + | 0.0821845i | ||||
\(731\) | −11.7182 | + | 39.9086i | −0.433414 | + | 1.47607i | ||||
\(732\) | 7.46779 | − | 3.41042i | 0.276017 | − | 0.126053i | ||||
\(733\) | 4.83254 | + | 33.6111i | 0.178494 | + | 1.24145i | 0.860250 | + | 0.509873i | \(0.170308\pi\) |
−0.681756 | + | 0.731580i | \(0.738783\pi\) | |||||||
\(734\) | −0.658544 | − | 0.423221i | −0.0243073 | − | 0.0156214i | ||||
\(735\) | −26.3642 | − | 7.08595i | −0.972459 | − | 0.261369i | ||||
\(736\) | −0.234597 | + | 8.68532i | −0.00864736 | + | 0.320145i | ||||
\(737\) | −4.62445 | −0.170344 | ||||||||
\(738\) | 0.650763 | − | 1.01261i | 0.0239549 | − | 0.0372746i | ||||
\(739\) | −0.126099 | − | 0.877040i | −0.00463864 | − | 0.0322624i | 0.987371 | − | 0.158427i | \(-0.0506423\pi\) |
−0.992009 | + | 0.126165i | \(0.959733\pi\) | |||||||
\(740\) | −19.6586 | + | 8.97777i | −0.722664 | + | 0.330029i | ||||
\(741\) | −11.2097 | − | 3.29147i | −0.411799 | − | 0.120915i | ||||
\(742\) | −0.124301 | + | 0.0285431i | −0.00456324 | + | 0.00104785i | ||||
\(743\) | −17.4389 | − | 15.1109i | −0.639771 | − | 0.554364i | 0.273421 | − | 0.961894i | \(-0.411845\pi\) |
−0.913192 | + | 0.407530i | \(0.866390\pi\) | |||||||
\(744\) | 0.397634 | − | 2.76561i | 0.0145780 | − | 0.101392i | ||||
\(745\) | 9.05879 | + | 30.8514i | 0.331888 | + | 1.13031i | ||||
\(746\) | −1.12094 | + | 0.971301i | −0.0410406 | + | 0.0355618i | ||||
\(747\) | −5.21054 | + | 3.34861i | −0.190644 | + | 0.122519i | ||||
\(748\) | −1.97254 | − | 3.06934i | −0.0721234 | − | 0.112226i | ||||
\(749\) | −0.955498 | + | 4.64952i | −0.0349131 | + | 0.169890i | ||||
\(750\) | −0.877945 | − | 2.99001i | −0.0320580 | − | 0.109180i | ||||
\(751\) | 33.5767 | + | 4.82761i | 1.22523 | + | 0.176162i | 0.724399 | − | 0.689381i | \(-0.242118\pi\) |
0.500834 | + | 0.865543i | \(0.333027\pi\) | |||||||
\(752\) | −24.2624 | − | 21.0235i | −0.884759 | − | 0.766648i | ||||
\(753\) | −3.63802 | − | 1.66143i | −0.132577 | − | 0.0605458i | ||||
\(754\) | −0.347856 | + | 1.18469i | −0.0126682 | + | 0.0431438i | ||||
\(755\) | 14.9496 | + | 32.7350i | 0.544071 | + | 1.19135i | ||||
\(756\) | −3.65482 | + | 3.73999i | −0.132925 | + | 0.136022i | ||||
\(757\) | −10.2213 | + | 15.9046i | −0.371498 | + | 0.578062i | −0.975792 | − | 0.218699i | \(-0.929819\pi\) |
0.604294 | + | 0.796761i | \(0.293455\pi\) | |||||||
\(758\) | 2.88577i | 0.104816i | ||||||||
\(759\) | 1.39492 | − | 0.592059i | 0.0506325 | − | 0.0214904i | ||||
\(760\) | 18.2741 | 0.662871 | ||||||||
\(761\) | 9.45502 | − | 14.7123i | 0.342744 | − | 0.533320i | −0.626500 | − | 0.779421i | \(-0.715513\pi\) |
0.969244 | + | 0.246101i | \(0.0791496\pi\) | |||||||
\(762\) | 0.494488 | − | 0.0710967i | 0.0179134 | − | 0.00257556i | ||||
\(763\) | −11.6973 | + | 22.0213i | −0.423472 | + | 0.797223i | ||||
\(764\) | 7.30556 | − | 24.8804i | 0.264306 | − | 0.900143i | ||||
\(765\) | −9.46490 | + | 20.7252i | −0.342204 | + | 0.749323i | ||||
\(766\) | −0.989138 | + | 1.14153i | −0.0357390 | + | 0.0412450i | ||||
\(767\) | 0.239307 | − | 1.66442i | 0.00864089 | − | 0.0600987i | ||||
\(768\) | 3.98686 | + | 13.5780i | 0.143863 | + | 0.489953i | ||||
\(769\) | −8.44912 | − | 9.75080i | −0.304683 | − | 0.351623i | 0.582674 | − | 0.812706i | \(-0.302006\pi\) |
−0.887357 | + | 0.461083i | \(0.847461\pi\) | |||||||
\(770\) | −0.470498 | − | 0.169341i | −0.0169556 | − | 0.00610262i | ||||
\(771\) | 21.7487 | − | 13.9770i | 0.783261 | − | 0.503371i | ||||
\(772\) | 3.55776 | + | 4.10588i | 0.128047 | + | 0.147774i | ||||
\(773\) | 11.9779 | − | 3.51702i | 0.430815 | − | 0.126499i | −0.0591337 | − | 0.998250i | \(-0.518834\pi\) |
0.489948 | + | 0.871752i | \(0.337016\pi\) | |||||||
\(774\) | 1.08082 | + | 0.155398i | 0.0388493 | + | 0.00558568i | ||||
\(775\) | 35.3500 | + | 30.6309i | 1.26981 | + | 1.10030i | ||||
\(776\) | −4.80512 | + | 10.5218i | −0.172494 | + | 0.377709i | ||||
\(777\) | 6.91989 | − | 2.67216i | 0.248250 | − | 0.0958632i | ||||
\(778\) | 3.39898 | − | 1.55226i | 0.121859 | − | 0.0556512i | ||||
\(779\) | −59.6842 | + | 8.58129i | −2.13841 | + | 0.307457i | ||||
\(780\) | −9.86057 | − | 6.33700i | −0.353065 | − | 0.226901i | ||||
\(781\) | − | 0.520665i | − | 0.0186308i | ||||||
\(782\) | −1.09887 | − | 4.15425i | −0.0392956 | − | 0.148556i | ||||
\(783\) | 5.29418i | 0.189198i | ||||||||
\(784\) | 20.0044 | − | 18.1572i | 0.714443 | − | 0.648471i | ||||
\(785\) | −3.10959 | − | 21.6277i | −0.110986 | − | 0.771924i | ||||
\(786\) | 0.525597 | + | 1.15090i | 0.0187474 | + | 0.0410511i | ||||
\(787\) | −7.45849 | − | 2.19001i | −0.265867 | − | 0.0780655i | 0.146082 | − | 0.989272i | \(-0.453334\pi\) |
−0.411949 | + | 0.911207i | \(0.635152\pi\) | |||||||
\(788\) | 0.525870 | − | 1.15150i | 0.0187334 | − | 0.0410203i | ||||
\(789\) | −1.33006 | + | 1.53497i | −0.0473514 | + | 0.0546464i | ||||
\(790\) | 2.86912 | + | 0.412517i | 0.102079 | + | 0.0146767i | ||||
\(791\) | −36.9580 | − | 27.0079i | −1.31407 | − | 0.960290i | ||||
\(792\) | −0.145638 | + | 0.126196i | −0.00517501 | + | 0.00448417i | ||||
\(793\) | −3.41479 | − | 5.31351i | −0.121263 | − | 0.188688i | ||||
\(794\) | −1.64280 | − | 2.55624i | −0.0583007 | − | 0.0907176i | ||||
\(795\) | −0.802698 | − | 0.926363i | −0.0284688 | − | 0.0328547i | ||||
\(796\) | 40.4893 | − | 11.8887i | 1.43511 | − | 0.421385i | ||||
\(797\) | −0.634187 | + | 4.41087i | −0.0224641 | + | 0.156241i | −0.997966 | − | 0.0637504i | \(-0.979694\pi\) |
0.975502 | + | 0.219991i | \(0.0706029\pi\) | |||||||
\(798\) | −3.11204 | − | 0.186582i | −0.110165 | − | 0.00660495i | ||||
\(799\) | 44.2050 | + | 20.1878i | 1.56386 | + | 0.714191i | ||||
\(800\) | 17.7477 | + | 5.21118i | 0.627475 | + | 0.184243i | ||||
\(801\) | 3.15864 | + | 6.91645i | 0.111605 | + | 0.244381i | ||||
\(802\) | 0.0522559 | − | 0.00751327i | 0.00184522 | − | 0.000265303i | ||||
\(803\) | 2.37545 | + | 1.52661i | 0.0838276 | + | 0.0538728i | ||||
\(804\) | −28.9266 | −1.02016 | ||||||||
\(805\) | 39.1509 | + | 30.2653i | 1.37989 | + | 1.06671i | ||||
\(806\) | −1.06845 | −0.0376347 | ||||||||
\(807\) | −0.852900 | − | 0.548126i | −0.0300235 | − | 0.0192949i | ||||
\(808\) | 7.09541 | − | 1.02017i | 0.249616 | − | 0.0358893i | ||||
\(809\) | −10.0538 | − | 22.0147i | −0.353471 | − | 0.773994i | −0.999939 | − | 0.0110527i | \(-0.996482\pi\) |
0.646468 | − | 0.762941i | \(-0.276246\pi\) | |||||||
\(810\) | 0.573915 | + | 0.168517i | 0.0201653 | + | 0.00592107i | ||||
\(811\) | 34.8326 | + | 15.9075i | 1.22314 | + | 0.558588i | 0.919082 | − | 0.394066i | \(-0.128932\pi\) |
0.304055 | + | 0.952654i | \(0.401659\pi\) | |||||||
\(812\) | 1.65686 | − | 27.6350i | 0.0581445 | − | 0.969800i | ||||
\(813\) | 0.416815 | − | 2.89901i | 0.0146183 | − | 0.101673i | ||||
\(814\) | 0.130368 | − | 0.0382796i | 0.00456940 | − | 0.00134170i | ||||
\(815\) | −0.309859 | − | 0.357596i | −0.0108539 | − | 0.0125260i | ||||
\(816\) | −12.1900 | − | 18.9679i | −0.426734 | − | 0.664011i | ||||
\(817\) | −29.5729 | − | 46.0163i | −1.03462 | − | 1.60991i | ||||
\(818\) | 1.92756 | − | 1.67024i | 0.0673955 | − | 0.0583985i | ||||
\(819\) | 3.24828 | + | 2.37375i | 0.113504 | + | 0.0829457i | ||||
\(820\) | −59.8800 | − | 8.60945i | −2.09110 | − | 0.300655i | ||||
\(821\) | 14.8786 | − | 17.1708i | 0.519267 | − | 0.599266i | −0.434180 | − | 0.900826i | \(-0.642962\pi\) |
0.953447 | + | 0.301560i | \(0.0975073\pi\) | |||||||
\(822\) | −1.39571 | + | 3.05617i | −0.0486808 | + | 0.106596i | ||||
\(823\) | −6.13011 | − | 1.79996i | −0.213682 | − | 0.0627427i | 0.173139 | − | 0.984897i | \(-0.444609\pi\) |
−0.386822 | + | 0.922155i | \(0.626427\pi\) | |||||||
\(824\) | −1.56388 | − | 3.42441i | −0.0544802 | − | 0.119295i | ||||
\(825\) | −0.459118 | − | 3.19323i | −0.0159844 | − | 0.111174i | ||||
\(826\) | −0.0371637 | − | 0.447180i | −0.00129309 | − | 0.0155594i | ||||
\(827\) | 35.2519i | 1.22583i | 0.790150 | + | 0.612914i | \(0.210003\pi\) | ||||
−0.790150 | + | 0.612914i | \(0.789997\pi\) | |||||||
\(828\) | 8.72544 | − | 3.70341i | 0.303230 | − | 0.128702i | ||||
\(829\) | 42.9728i | 1.49251i | 0.665662 | + | 0.746253i | \(0.268149\pi\) | ||||
−0.665662 | + | 0.746253i | \(0.731851\pi\) | |||||||
\(830\) | −3.11665 | − | 2.00295i | −0.108181 | − | 0.0695235i | ||||
\(831\) | 16.0077 | − | 2.30156i | 0.555300 | − | 0.0798401i | ||||
\(832\) | 10.2924 | − | 4.70038i | 0.356825 | − | 0.162956i | ||||
\(833\) | −21.3113 | + | 34.9031i | −0.738392 | + | 1.20932i | ||||
\(834\) | −0.210210 | + | 0.460297i | −0.00727899 | + | 0.0159388i | ||||
\(835\) | −4.29579 | − | 3.72232i | −0.148662 | − | 0.128816i | ||||
\(836\) | 4.74936 | + | 0.682855i | 0.164260 | + | 0.0236170i | ||||
\(837\) | −4.39576 | + | 1.29071i | −0.151940 | + | 0.0446135i | ||||
\(838\) | 1.97929 | + | 2.28422i | 0.0683733 | + | 0.0789070i | ||||
\(839\) | −19.5002 | + | 12.5320i | −0.673221 | + | 0.432653i | −0.832085 | − | 0.554648i | \(-0.812853\pi\) |
0.158865 | + | 0.987300i | \(0.449217\pi\) | |||||||
\(840\) | −5.92110 | − | 2.13111i | −0.204297 | − | 0.0735302i | ||||
\(841\) | 0.636328 | + | 0.734362i | 0.0219423 | + | 0.0253228i | ||||
\(842\) | 0.584818 | + | 1.99171i | 0.0201542 | + | 0.0686388i | ||||
\(843\) | −2.83606 | + | 19.7253i | −0.0976792 | + | 0.679374i | ||||
\(844\) | −12.4282 | + | 14.3429i | −0.427796 | + | 0.493703i | ||||
\(845\) | 17.3153 | − | 37.9152i | 0.595664 | − | 1.30432i | ||||
\(846\) | 0.359430 | − | 1.22411i | 0.0123575 | − | 0.0420856i | ||||
\(847\) | 25.4690 | + | 13.5287i | 0.875124 | + | 0.464852i | ||||
\(848\) | 1.20066 | − | 0.172629i | 0.0412308 | − | 0.00592809i | ||||
\(849\) | −7.33094 | + | 11.4072i | −0.251597 | + | 0.391493i | ||||
\(850\) | −9.14816 | −0.313779 | ||||||||
\(851\) | −13.4412 | − | 0.363057i | −0.460758 | − | 0.0124454i | ||||
\(852\) | − | 3.25683i | − | 0.111577i | ||||||
\(853\) | 14.4110 | − | 22.4239i | 0.493423 | − | 0.767781i | −0.501844 | − | 0.864958i | \(-0.667345\pi\) |
0.995267 | + | 0.0971770i | \(0.0309813\pi\) | |||||||
\(854\) | −1.20547 | − | 1.17802i | −0.0412503 | − | 0.0403109i | ||||
\(855\) | −12.4473 | − | 27.2559i | −0.425690 | − | 0.932130i | ||||
\(856\) | −0.308262 | + | 1.04984i | −0.0105362 | + | 0.0358829i | ||||
\(857\) | 1.43978 | + | 0.657526i | 0.0491820 | + | 0.0224607i | 0.439854 | − | 0.898069i | \(-0.355030\pi\) |
−0.390672 | + | 0.920530i | \(0.627757\pi\) | |||||||
\(858\) | 0.0556924 | + | 0.0482578i | 0.00190131 | + | 0.00164749i | ||||
\(859\) | 34.9565 | + | 5.02598i | 1.19270 | + | 0.171484i | 0.709935 | − | 0.704267i | \(-0.248724\pi\) |
0.482763 | + | 0.875751i | \(0.339633\pi\) | |||||||
\(860\) | −15.4613 | − | 52.6562i | −0.527224 | − | 1.79556i | ||||
\(861\) | 20.3394 | + | 4.17984i | 0.693164 | + | 0.142449i | ||||
\(862\) | 2.83049 | + | 4.40432i | 0.0964068 | + | 0.150012i | ||||
\(863\) | −12.2590 | + | 7.87835i | −0.417300 | + | 0.268182i | −0.732398 | − | 0.680877i | \(-0.761599\pi\) |
0.315098 | + | 0.949059i | \(0.397963\pi\) | |||||||
\(864\) | −1.36917 | + | 1.18639i | −0.0465802 | + | 0.0403620i | ||||
\(865\) | 14.4050 | + | 49.0589i | 0.489784 | + | 1.66805i | ||||
\(866\) | −0.586225 | + | 4.07729i | −0.0199207 | + | 0.138552i | ||||
\(867\) | 12.9464 | + | 11.2181i | 0.439683 | + | 0.380987i | ||||
\(868\) | 23.3493 | − | 5.36168i | 0.792528 | − | 0.181987i | ||||
\(869\) | 1.46921 | + | 0.431398i | 0.0498394 | + | 0.0146342i | ||||
\(870\) | −2.88051 | + | 1.31549i | −0.0976585 | + | 0.0445991i | ||||
\(871\) | 3.16721 | + | 22.0284i | 0.107317 | + | 0.746405i | ||||
\(872\) | −3.10752 | + | 4.83540i | −0.105234 | + | 0.163747i | ||||
\(873\) | 18.9662 | 0.641909 | ||||||||
\(874\) | 5.07523 | + | 2.48552i | 0.171672 | + | 0.0840741i | ||||
\(875\) | 42.6610 | − | 32.7089i | 1.44220 | − | 1.10576i | ||||
\(876\) | 14.8588 | + | 9.54914i | 0.502031 | + | 0.322636i | ||||
\(877\) | 1.89453 | + | 13.1768i | 0.0639739 | + | 0.444948i | 0.996483 | + | 0.0838005i | \(0.0267058\pi\) |
−0.932509 | + | 0.361148i | \(0.882385\pi\) | |||||||
\(878\) | −2.64863 | + | 1.20959i | −0.0893870 | + | 0.0408217i | ||||
\(879\) | 5.92294 | − | 20.1717i | 0.199776 | − | 0.680374i | ||||
\(880\) | 4.32618 | + | 1.97570i | 0.145835 | + | 0.0666008i | ||||
\(881\) | −25.2382 | + | 29.1265i | −0.850297 | + | 0.981295i | −0.999972 | − | 0.00743991i | \(-0.997632\pi\) |
0.149675 | + | 0.988735i | \(0.452177\pi\) | |||||||
\(882\) | 0.986590 | + | 0.423379i | 0.0332202 | + | 0.0142559i | ||||
\(883\) | 32.1422 | − | 9.43781i | 1.08167 | − | 0.317608i | 0.308124 | − | 0.951346i | \(-0.400299\pi\) |
0.773547 | + | 0.633739i | \(0.218480\pi\) | |||||||
\(884\) | −13.2697 | + | 11.4983i | −0.446309 | + | 0.386729i | ||||
\(885\) | 3.62806 | − | 2.33161i | 0.121956 | − | 0.0783763i | ||||
\(886\) | 0.509923 | − | 0.327707i | 0.0171312 | − | 0.0110095i | ||||
\(887\) | −44.3436 | + | 38.4239i | −1.48891 | + | 1.29015i | −0.631667 | + | 0.775240i | \(0.717629\pi\) |
−0.857245 | + | 0.514909i | \(0.827826\pi\) | |||||||
\(888\) | 1.64065 | − | 0.481738i | 0.0550566 | − | 0.0161661i | ||||
\(889\) | 4.21699 | + | 7.51575i | 0.141433 | + | 0.252070i | ||||
\(890\) | −2.97832 | + | 3.43717i | −0.0998337 | + | 0.115214i | ||||
\(891\) | 0.287422 | + | 0.131261i | 0.00962901 | + | 0.00439742i | ||||
\(892\) | −9.58657 | + | 32.6489i | −0.320982 | + | 1.09316i | ||||
\(893\) | −58.1342 | + | 26.5490i | −1.94539 | + | 0.888428i | ||||
\(894\) | −0.179955 | − | 1.25161i | −0.00601860 | − | 0.0418603i | ||||
\(895\) | −72.0938 | − | 46.3319i | −2.40983 | − | 1.54870i | ||||
\(896\) | 10.0039 | − | 7.67014i | 0.334206 | − | 0.256242i | ||||
\(897\) | −3.77561 | − | 6.23918i | −0.126064 | − | 0.208320i | ||||
\(898\) | 1.17498 | 0.0392095 | ||||||||
\(899\) | 13.1129 | − | 20.4041i | 0.437340 | − | 0.680515i | ||||
\(900\) | −2.87185 | − | 19.9741i | −0.0957282 | − | 0.665804i | ||||
\(901\) | −1.67024 | + | 0.762772i | −0.0556437 | + | 0.0254116i | ||||
\(902\) | 0.364931 | + | 0.107153i | 0.0121509 | + | 0.00356781i | ||||
\(903\) | 4.21571 | + | 18.3588i | 0.140290 | + | 0.610942i | ||||
\(904\) | −7.97435 | − | 6.90982i | −0.265223 | − | 0.229817i | ||||
\(905\) | −7.97464 | + | 55.4649i | −0.265086 | + | 1.84371i | ||||
\(906\) | −0.398717 | − | 1.35790i | −0.0132465 | − | 0.0451134i | ||||
\(907\) | −17.7731 | + | 15.4004i | −0.590145 | + | 0.511363i | −0.897957 | − | 0.440084i | \(-0.854949\pi\) |
0.307812 | + | 0.951447i | \(0.400403\pi\) | |||||||
\(908\) | 19.9775 | − | 12.8388i | 0.662977 | − | 0.426069i | ||||
\(909\) | −6.35460 | − | 9.88795i | −0.210769 | − | 0.327962i | ||||
\(910\) | −0.484412 | + | 2.35718i | −0.0160581 | + | 0.0781398i | ||||
\(911\) | 8.68013 | + | 29.5618i | 0.287586 | + | 0.979427i | 0.968903 | + | 0.247439i | \(0.0795890\pi\) |
−0.681318 | + | 0.731988i | \(0.738593\pi\) | |||||||
\(912\) | 29.3501 | + | 4.21991i | 0.971880 | + | 0.139735i | ||||
\(913\) | −1.47907 | − | 1.28162i | −0.0489501 | − | 0.0424155i | ||||
\(914\) | −3.50055 | − | 1.59865i | −0.115788 | − | 0.0528785i | ||||
\(915\) | 4.56387 | − | 15.5431i | 0.150877 | − | 0.513840i | ||||
\(916\) | 10.9944 | + | 24.0745i | 0.363267 | + | 0.795443i | ||||
\(917\) | −15.2546 | + | 15.6101i | −0.503752 | + | 0.515491i | ||||
\(918\) | 0.484422 | − | 0.753775i | 0.0159883 | − | 0.0248783i | ||||
\(919\) | − | 49.6678i | − | 1.63839i | −0.573515 | − | 0.819195i | \(-0.694421\pi\) | ||
0.573515 | − | 0.819195i | \(-0.305579\pi\) | |||||||
\(920\) | 8.41593 | + | 7.69998i | 0.277465 | + | 0.253861i | ||||
\(921\) | 7.21135 | 0.237622 | ||||||||
\(922\) | −1.69934 | + | 2.64422i | −0.0559648 | + | 0.0870829i | ||||
\(923\) | −2.48017 | + | 0.356594i | −0.0816357 | + | 0.0117374i | ||||
\(924\) | −1.45923 | − | 0.775122i | −0.0480053 | − | 0.0254996i | ||||
\(925\) | −8.06470 | + | 27.4659i | −0.265166 | + | 0.903072i | ||||
\(926\) | −0.944914 | + | 2.06907i | −0.0310518 | + | 0.0679939i | ||||
\(927\) | −4.04229 | + | 4.66505i | −0.132766 | + | 0.153220i | ||||
\(928\) | 1.36499 | − | 9.49370i | 0.0448079 | − | 0.311646i | ||||
\(929\) | −2.51269 | − | 8.55744i | −0.0824388 | − | 0.280761i | 0.907949 | − | 0.419081i | \(-0.137648\pi\) |
−0.990388 | + | 0.138321i | \(0.955830\pi\) | |||||||
\(930\) | −1.79451 | − | 2.07098i | −0.0588444 | − | 0.0679101i | ||||
\(931\) | −16.3363 | − | 51.2399i | −0.535401 | − | 1.67932i | ||||
\(932\) | 29.7496 | − | 19.1189i | 0.974482 | − | 0.626262i | ||||
\(933\) | −2.48792 | − | 2.87121i | −0.0814508 | − | 0.0939992i | ||||
\(934\) | −1.51325 | + | 0.444332i | −0.0495152 | + | 0.0145390i | ||||
\(935\) | −7.12599 | − | 1.02456i | −0.233045 | − | 0.0335068i | ||||
\(936\) | 0.700874 | + | 0.607311i | 0.0229088 | + | 0.0198506i | ||||
\(937\) | 17.4950 | − | 38.3088i | 0.571538 | − | 1.25149i | −0.374436 | − | 0.927253i | \(-0.622164\pi\) |
0.945974 | − | 0.324242i | \(-0.105109\pi\) | |||||||
\(938\) | 2.13934 | + | 5.54008i | 0.0698518 | + | 0.180890i | ||||
\(939\) | −10.1835 | + | 4.65064i | −0.332326 | + | 0.151768i | ||||
\(940\) | −63.4666 | + | 9.12512i | −2.07005 | + | 0.297629i | ||||
\(941\) | 15.0477 | + | 9.67055i | 0.490540 | + | 0.315251i | 0.762422 | − | 0.647080i | \(-0.224010\pi\) |
−0.271883 | + | 0.962330i | \(0.587646\pi\) | |||||||
\(942\) | 0.859277i | 0.0279968i | ||||||||
\(943\) | −31.1027 | − | 21.1966i | −1.01284 | − | 0.690255i | ||||
\(944\) | 4.26783i | 0.138906i | ||||||||
\(945\) | 0.854581 | + | 10.2829i | 0.0277995 | + | 0.334504i | ||||
\(946\) | 0.0491022 | + | 0.341513i | 0.00159645 | + | 0.0111036i | ||||
\(947\) | 9.35401 | + | 20.4824i | 0.303965 | + | 0.665590i | 0.998551 | − | 0.0538201i | \(-0.0171397\pi\) |
−0.694586 | + | 0.719410i | \(0.744412\pi\) | |||||||
\(948\) | 9.19009 | + | 2.69845i | 0.298480 | + | 0.0876417i | ||||
\(949\) | 5.64503 | − | 12.3609i | 0.183246 | − | 0.401252i | ||||
\(950\) | 7.87849 | − | 9.09226i | 0.255612 | − | 0.294992i | ||||
\(951\) | 10.4406 | + | 1.50114i | 0.338561 | + | 0.0486777i | ||||
\(952\) | −5.56196 | + | 7.61106i | −0.180264 | + | 0.246676i | ||||
\(953\) | 23.2955 | − | 20.1857i | 0.754615 | − | 0.653878i | −0.190102 | − | 0.981764i | \(-0.560882\pi\) |
0.944717 | + | 0.327887i | \(0.106336\pi\) | |||||||
\(954\) | 0.0260611 | + | 0.0405519i | 0.000843760 | + | 0.00131292i | ||||
\(955\) | −27.6628 | − | 43.0441i | −0.895146 | − | 1.39287i | ||||
\(956\) | −31.0045 | − | 35.7811i | −1.00276 | − | 1.15724i | ||||
\(957\) | −1.60507 | + | 0.471292i | −0.0518846 | + | 0.0152347i | ||||
\(958\) | −0.523522 | + | 3.64118i | −0.0169142 | + | 0.117641i | ||||
\(959\) | −57.8547 | − | 3.46868i | −1.86823 | − | 0.112010i | ||||
\(960\) | 26.3972 | + | 12.0552i | 0.851966 | + | 0.389080i | ||||
\(961\) | −9.60583 | − | 2.82053i | −0.309866 | − | 0.0909848i | ||||
\(962\) | −0.271630 | − | 0.594787i | −0.00875771 | − | 0.0191767i | ||||
\(963\) | 1.77582 | − | 0.255324i | 0.0572248 | − | 0.00822769i | ||||
\(964\) | 3.25080 | + | 2.08916i | 0.104701 | + | 0.0672874i | ||||
\(965\) | 10.7201 | 0.345092 | ||||||||
\(966\) | −1.35460 | − | 1.39722i | −0.0435834 | − | 0.0449548i | ||||
\(967\) | −12.6289 | −0.406118 | −0.203059 | − | 0.979167i | \(-0.565088\pi\) | ||||
−0.203059 | + | 0.979167i | \(0.565088\pi\) | |||||||
\(968\) | 5.59244 | + | 3.59404i | 0.179748 | + | 0.115517i | ||||
\(969\) | −44.4283 | + | 6.38783i | −1.42724 | + | 0.205207i | ||||
\(970\) | 4.71269 | + | 10.3193i | 0.151315 | + | 0.331334i | ||||
\(971\) | 0.413081 | + | 0.121292i | 0.0132564 | + | 0.00389243i | 0.288354 | − | 0.957524i | \(-0.406892\pi\) |
−0.275098 | + | 0.961416i | \(0.588710\pi\) | |||||||
\(972\) | 1.79787 | + | 0.821058i | 0.0576666 | + | 0.0263355i | ||||
\(973\) | −8.71362 | − | 0.522426i | −0.279346 | − | 0.0167482i | ||||
\(974\) | −0.886392 | + | 6.16499i | −0.0284018 | + | 0.197539i | ||||
\(975\) | −14.8964 | + | 4.37398i | −0.477067 | + | 0.140080i | ||||
\(976\) | 10.4980 | + | 12.1153i | 0.336032 | + | 0.387801i | ||||
\(977\) | −16.1748 | − | 25.1685i | −0.517479 | − | 0.805213i | 0.479918 | − | 0.877313i | \(-0.340666\pi\) |
−0.997397 | + | 0.0721000i | \(0.977030\pi\) | |||||||
\(978\) | 0.0100601 | + | 0.0156539i | 0.000321688 | + | 0.000500556i | ||||
\(979\) | −1.81572 | + | 1.57333i | −0.0580308 | + | 0.0502840i | ||||
\(980\) | −1.24268 | − | 53.9432i | −0.0396961 | − | 1.72315i | ||||
\(981\) | 9.32869 | + | 1.34126i | 0.297842 | + | 0.0428232i | ||||
\(982\) | −3.96008 | + | 4.57018i | −0.126371 | + | 0.145840i | ||||
\(983\) | 19.1327 | − | 41.8948i | 0.610239 | − | 1.33624i | −0.312171 | − | 0.950026i | \(-0.601056\pi\) |
0.922410 | − | 0.386211i | \(-0.126216\pi\) | |||||||
\(984\) | 4.59255 | + | 1.34850i | 0.146405 | + | 0.0429885i | ||||
\(985\) | −1.03765 | − | 2.27213i | −0.0330621 | − | 0.0723960i | ||||
\(986\) | 0.675093 | + | 4.69537i | 0.0214993 | + | 0.149531i | ||||
\(987\) | 21.9325 | − | 1.82274i | 0.698120 | − | 0.0580185i | ||||
\(988\) | − | 23.0911i | − | 0.734625i | ||||||
\(989\) | 5.77000 | − | 33.6532i | 0.183475 | − | 1.07011i | ||||
\(990\) | 0.188999i | 0.00600679i | ||||||||
\(991\) | 31.2590 | + | 20.0889i | 0.992974 | + | 0.638145i | 0.932933 | − | 0.360051i | \(-0.117241\pi\) |
0.0600407 | + | 0.998196i | \(0.480877\pi\) | |||||||
\(992\) | 8.21541 | − | 1.18120i | 0.260839 | − | 0.0375031i | ||||
\(993\) | 31.3654 | − | 14.3241i | 0.995351 | − | 0.454562i | ||||
\(994\) | −0.623754 | + | 0.240867i | −0.0197843 | + | 0.00763983i | ||||
\(995\) | 34.5901 | − | 75.7417i | 1.09658 | − | 2.40117i | ||||
\(996\) | −9.25179 | − | 8.01672i | −0.293154 | − | 0.254020i | ||||
\(997\) | 31.9785 | + | 4.59781i | 1.01277 | + | 0.145614i | 0.628666 | − | 0.777676i | \(-0.283601\pi\) |
0.384104 | + | 0.923290i | \(0.374511\pi\) | |||||||
\(998\) | −4.32696 | + | 1.27051i | −0.136968 | + | 0.0402173i | ||||
\(999\) | −1.83604 | − | 2.11890i | −0.0580896 | − | 0.0670390i |
(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 | 483.2.r.a.412.15 | yes | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.412.16 | yes | 320 | |
23.11 | odd | 22 | inner | 483.2.r.a.34.16 | yes | 320 | |
161.34 | even | 22 | inner | 483.2.r.a.34.15 | ✓ | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.34.15 | ✓ | 320 | 161.34 | even | 22 | inner | |
483.2.r.a.34.16 | yes | 320 | 23.11 | odd | 22 | inner | |
483.2.r.a.412.15 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.412.16 | yes | 320 | 7.6 | odd | 2 | inner |