Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), degree \(4\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.12 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.12 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33121 | + | 0.356696i | −0.941306 | + | 0.252222i | −0.696669 | − | 0.717393i | \(-0.745335\pi\) |
−0.244637 | + | 0.969615i | \(0.578669\pi\) | |||||||
\(3\) | 1.23400 | + | 1.21542i | 0.712452 | + | 0.701721i | ||||
\(4\) | −0.0871697 | + | 0.0503274i | −0.0435848 | + | 0.0251637i | ||||
\(5\) | 0.497684 | + | 2.17998i | 0.222571 | + | 0.974916i | ||||
\(6\) | −2.07625 | − | 1.17781i | −0.847625 | − | 0.480838i | ||||
\(7\) | −2.13219 | + | 1.56645i | −0.805893 | + | 0.592062i | ||||
\(8\) | 2.04711 | − | 2.04711i | 0.723763 | − | 0.723763i | ||||
\(9\) | 0.0455283 | + | 2.99965i | 0.0151761 | + | 0.999885i | ||||
\(10\) | −1.44011 | − | 2.72448i | −0.455403 | − | 0.861557i | ||||
\(11\) | 0.259284 | 0.0781772 | 0.0390886 | − | 0.999236i | \(-0.487555\pi\) | ||||
0.0390886 | + | 0.999236i | \(0.487555\pi\) | |||||||
\(12\) | −0.168736 | − | 0.0438432i | −0.0487100 | − | 0.0126564i | ||||
\(13\) | −2.23686 | + | 0.599364i | −0.620393 | + | 0.166234i | −0.555306 | − | 0.831646i | \(-0.687399\pi\) |
−0.0650865 | + | 0.997880i | \(0.520732\pi\) | |||||||
\(14\) | 2.27964 | − | 2.84581i | 0.609260 | − | 0.760575i | ||||
\(15\) | −2.03544 | + | 3.29499i | −0.525548 | + | 0.850764i | ||||
\(16\) | −1.89428 | + | 3.28099i | −0.473570 | + | 0.820247i | ||||
\(17\) | −1.35618 | − | 5.06133i | −0.328922 | − | 1.22755i | −0.910310 | − | 0.413926i | \(-0.864157\pi\) |
0.581389 | − | 0.813626i | \(-0.302510\pi\) | |||||||
\(18\) | −1.13057 | − | 3.97692i | −0.266478 | − | 0.937370i | ||||
\(19\) | 1.84029 | + | 3.18747i | 0.422191 | + | 0.731257i | 0.996154 | − | 0.0876251i | \(-0.0279277\pi\) |
−0.573962 | + | 0.818882i | \(0.694594\pi\) | |||||||
\(20\) | −0.153096 | − | 0.164981i | −0.0342332 | − | 0.0368909i | ||||
\(21\) | −4.53502 | − | 0.658497i | −0.989622 | − | 0.143696i | ||||
\(22\) | −0.345161 | + | 0.0924857i | −0.0735886 | + | 0.0197180i | ||||
\(23\) | 2.90468 | − | 2.90468i | 0.605668 | − | 0.605668i | −0.336143 | − | 0.941811i | \(-0.609122\pi\) |
0.941811 | + | 0.336143i | \(0.109122\pi\) | |||||||
\(24\) | 5.01424 | − | 0.0380505i | 1.02353 | − | 0.00776702i | ||||
\(25\) | −4.50462 | + | 2.16988i | −0.900924 | + | 0.433976i | ||||
\(26\) | 2.76393 | − | 1.59576i | 0.542052 | − | 0.312954i | ||||
\(27\) | −3.58965 | + | 3.75692i | −0.690828 | + | 0.723019i | ||||
\(28\) | 0.107027 | − | 0.243854i | 0.0202262 | − | 0.0460842i | ||||
\(29\) | −1.13026 | + | 0.652558i | −0.209885 | + | 0.121177i | −0.601258 | − | 0.799055i | \(-0.705333\pi\) |
0.391373 | + | 0.920232i | \(0.372000\pi\) | |||||||
\(30\) | 1.53428 | − | 5.11235i | 0.280120 | − | 0.933384i | ||||
\(31\) | 0.898256 | − | 0.518608i | 0.161332 | − | 0.0931448i | −0.417161 | − | 0.908833i | \(-0.636975\pi\) |
0.578492 | + | 0.815688i | \(0.303641\pi\) | |||||||
\(32\) | −0.147227 | + | 0.549457i | −0.0260262 | + | 0.0971312i | ||||
\(33\) | 0.319958 | + | 0.315138i | 0.0556975 | + | 0.0548585i | ||||
\(34\) | 3.61071 | + | 6.25393i | 0.619232 | + | 1.07254i | ||||
\(35\) | −4.47598 | − | 3.86854i | −0.756579 | − | 0.653902i | ||||
\(36\) | −0.154934 | − | 0.259188i | −0.0258223 | − | 0.0431979i | ||||
\(37\) | −2.00591 | + | 7.48615i | −0.329769 | + | 1.23072i | 0.579661 | + | 0.814858i | \(0.303185\pi\) |
−0.909430 | + | 0.415857i | \(0.863482\pi\) | |||||||
\(38\) | −3.58677 | − | 3.58677i | −0.581850 | − | 0.581850i | ||||
\(39\) | −3.48877 | − | 1.97910i | −0.558650 | − | 0.316909i | ||||
\(40\) | 5.48148 | + | 3.44385i | 0.866698 | + | 0.544520i | ||||
\(41\) | 5.05188 | + | 2.91670i | 0.788971 | + | 0.455513i | 0.839600 | − | 0.543205i | \(-0.182789\pi\) |
−0.0506292 | + | 0.998718i | \(0.516123\pi\) | |||||||
\(42\) | 6.27193 | − | 0.741027i | 0.967780 | − | 0.114343i | ||||
\(43\) | −10.5875 | − | 2.83692i | −1.61458 | − | 0.432626i | −0.665178 | − | 0.746685i | \(-0.731644\pi\) |
−0.949403 | + | 0.314060i | \(0.898311\pi\) | |||||||
\(44\) | −0.0226017 | + | 0.0130491i | −0.00340734 | + | 0.00196723i | ||||
\(45\) | −6.51653 | + | 1.59213i | −0.971426 | + | 0.237341i | ||||
\(46\) | −2.83065 | + | 4.90283i | −0.417356 | + | 0.722882i | ||||
\(47\) | 0.546696 | + | 2.04030i | 0.0797438 | + | 0.297608i | 0.994267 | − | 0.106925i | \(-0.0341006\pi\) |
−0.914523 | + | 0.404533i | \(0.867434\pi\) | |||||||
\(48\) | −6.32531 | + | 1.74641i | −0.912980 | + | 0.252073i | ||||
\(49\) | 2.09248 | − | 6.67994i | 0.298926 | − | 0.954276i | ||||
\(50\) | 5.22260 | − | 4.49534i | 0.738587 | − | 0.635737i | ||||
\(51\) | 4.47809 | − | 7.89401i | 0.627058 | − | 1.10538i | ||||
\(52\) | 0.164822 | − | 0.164822i | 0.0228567 | − | 0.0228567i | ||||
\(53\) | 1.60220 | + | 5.97951i | 0.220080 | + | 0.821349i | 0.984316 | + | 0.176413i | \(0.0564493\pi\) |
−0.764237 | + | 0.644936i | \(0.776884\pi\) | |||||||
\(54\) | 3.43849 | − | 6.28165i | 0.467919 | − | 0.854824i | ||||
\(55\) | 0.129042 | + | 0.565235i | 0.0174000 | + | 0.0762162i | ||||
\(56\) | −1.15814 | + | 7.57153i | −0.154763 | + | 1.01179i | ||||
\(57\) | −1.60318 | + | 6.17007i | −0.212347 | + | 0.817246i | ||||
\(58\) | 1.27185 | − | 1.27185i | 0.167002 | − | 0.167002i | ||||
\(59\) | 2.05472 | + | 3.55888i | 0.267502 | + | 0.463327i | 0.968216 | − | 0.250115i | \(-0.0804685\pi\) |
−0.700714 | + | 0.713442i | \(0.747135\pi\) | |||||||
\(60\) | 0.0115998 | − | 0.389662i | 0.00149753 | − | 0.0503051i | ||||
\(61\) | 9.99119 | + | 5.76841i | 1.27924 | + | 0.738570i | 0.976709 | − | 0.214570i | \(-0.0688349\pi\) |
0.302532 | + | 0.953139i | \(0.402168\pi\) | |||||||
\(62\) | −1.01078 | + | 1.01078i | −0.128369 | + | 0.128369i | ||||
\(63\) | −4.79588 | − | 6.32452i | −0.604224 | − | 0.796815i | ||||
\(64\) | − | 8.36107i | − | 1.04513i | ||||||
\(65\) | −2.41985 | − | 4.57801i | −0.300146 | − | 0.567832i | ||||
\(66\) | −0.538339 | − | 0.305387i | −0.0662649 | − | 0.0375905i | ||||
\(67\) | 0.260064 | − | 0.970572i | 0.0317719 | − | 0.118574i | −0.948219 | − | 0.317618i | \(-0.897117\pi\) |
0.979991 | + | 0.199044i | \(0.0637836\pi\) | |||||||
\(68\) | 0.372941 | + | 0.372941i | 0.0452258 | + | 0.0452258i | ||||
\(69\) | 7.11479 | − | 0.0539905i | 0.856520 | − | 0.00649969i | ||||
\(70\) | 7.33835 | + | 3.55326i | 0.877101 | + | 0.424696i | ||||
\(71\) | 11.9553 | 1.41883 | 0.709417 | − | 0.704789i | \(-0.248958\pi\) | ||||
0.709417 | + | 0.704789i | \(0.248958\pi\) | |||||||
\(72\) | 6.23383 | + | 6.04743i | 0.734664 | + | 0.712696i | ||||
\(73\) | 7.09062 | − | 1.89993i | 0.829894 | − | 0.222370i | 0.181227 | − | 0.983441i | \(-0.441993\pi\) |
0.648668 | + | 0.761072i | \(0.275327\pi\) | |||||||
\(74\) | − | 10.6811i | − | 1.24165i | ||||||
\(75\) | −8.19603 | − | 2.79735i | −0.946396 | − | 0.323010i | ||||
\(76\) | −0.320835 | − | 0.185234i | −0.0368023 | − | 0.0212478i | ||||
\(77\) | −0.552844 | + | 0.406156i | −0.0630024 | + | 0.0462857i | ||||
\(78\) | 5.35021 | + | 1.39016i | 0.605792 | + | 0.157404i | ||||
\(79\) | 13.4036 | + | 7.73858i | 1.50803 | + | 0.870659i | 0.999956 | + | 0.00934212i | \(0.00297373\pi\) |
0.508069 | + | 0.861317i | \(0.330360\pi\) | |||||||
\(80\) | −8.09524 | − | 2.49660i | −0.905075 | − | 0.279128i | ||||
\(81\) | −8.99585 | + | 0.273138i | −0.999539 | + | 0.0303487i | ||||
\(82\) | −7.76547 | − | 2.08075i | −0.857553 | − | 0.229781i | ||||
\(83\) | 3.81672 | − | 14.2442i | 0.418939 | − | 1.56350i | −0.357874 | − | 0.933770i | \(-0.616498\pi\) |
0.776813 | − | 0.629732i | \(-0.216835\pi\) | |||||||
\(84\) | 0.428456 | − | 0.170835i | 0.0467484 | − | 0.0186396i | ||||
\(85\) | 10.3586 | − | 5.47538i | 1.12355 | − | 0.593889i | ||||
\(86\) | 15.1061 | 1.62893 | ||||||||
\(87\) | −2.18788 | − | 0.568481i | −0.234565 | − | 0.0609476i | ||||
\(88\) | 0.530784 | − | 0.530784i | 0.0565818 | − | 0.0565818i | ||||
\(89\) | 3.16633 | + | 5.48424i | 0.335630 | + | 0.581328i | 0.983606 | − | 0.180333i | \(-0.0577176\pi\) |
−0.647976 | + | 0.761661i | \(0.724384\pi\) | |||||||
\(90\) | 8.10694 | − | 4.44387i | 0.854547 | − | 0.468426i | ||||
\(91\) | 3.83054 | − | 4.78188i | 0.401549 | − | 0.501277i | ||||
\(92\) | −0.107015 | + | 0.399386i | −0.0111571 | + | 0.0416388i | ||||
\(93\) | 1.73878 | + | 0.451790i | 0.180303 | + | 0.0468485i | ||||
\(94\) | −1.45553 | − | 2.52106i | −0.150127 | − | 0.260027i | ||||
\(95\) | −6.03275 | + | 5.59815i | −0.618947 | + | 0.574358i | ||||
\(96\) | −0.849497 | + | 0.499090i | −0.0867014 | + | 0.0509382i | ||||
\(97\) | 0.694682 | + | 0.186139i | 0.0705342 | + | 0.0188996i | 0.293914 | − | 0.955832i | \(-0.405042\pi\) |
−0.223379 | + | 0.974732i | \(0.571709\pi\) | |||||||
\(98\) | −0.402817 | + | 9.63876i | −0.0406907 | + | 0.973662i | ||||
\(99\) | 0.0118048 | + | 0.777763i | 0.00118643 | + | 0.0781682i | ||||
\(100\) | 0.283462 | − | 0.415854i | 0.0283462 | − | 0.0415854i | ||||
\(101\) | − | 0.208380i | − | 0.0207345i | −0.999946 | − | 0.0103673i | \(-0.996700\pi\) | ||
0.999946 | − | 0.0103673i | \(-0.00330006\pi\) | |||||||
\(102\) | −3.14550 | + | 12.1059i | −0.311451 | + | 1.19866i | ||||
\(103\) | 2.71775 | + | 2.71775i | 0.267788 | + | 0.267788i | 0.828208 | − | 0.560420i | \(-0.189360\pi\) |
−0.560420 | + | 0.828208i | \(0.689360\pi\) | |||||||
\(104\) | −3.35213 | + | 5.80607i | −0.328704 | + | 0.569332i | ||||
\(105\) | −0.821496 | − | 10.2140i | −0.0801698 | − | 0.996781i | ||||
\(106\) | −4.26573 | − | 7.38847i | −0.414325 | − | 0.717631i | ||||
\(107\) | 0.999060 | − | 3.72854i | 0.0965828 | − | 0.360452i | −0.900672 | − | 0.434500i | \(-0.856925\pi\) |
0.997255 | + | 0.0740480i | \(0.0235918\pi\) | |||||||
\(108\) | 0.123832 | − | 0.508147i | 0.0119158 | − | 0.0488965i | ||||
\(109\) | −11.9798 | − | 6.91652i | −1.14745 | − | 0.662482i | −0.199188 | − | 0.979961i | \(-0.563830\pi\) |
−0.948265 | + | 0.317479i | \(0.897164\pi\) | |||||||
\(110\) | −0.373398 | − | 0.706416i | −0.0356021 | − | 0.0673541i | ||||
\(111\) | −11.5741 | + | 6.79992i | −1.09856 | + | 0.645420i | ||||
\(112\) | −1.10053 | − | 9.96299i | −0.103991 | − | 0.941414i | ||||
\(113\) | 5.03053 | + | 18.7742i | 0.473232 | + | 1.76613i | 0.628038 | + | 0.778183i | \(0.283858\pi\) |
−0.154806 | + | 0.987945i | \(0.549475\pi\) | |||||||
\(114\) | −0.0666686 | − | 8.78549i | −0.00624409 | − | 0.822837i | ||||
\(115\) | 7.77777 | + | 4.88654i | 0.725280 | + | 0.455672i | ||||
\(116\) | 0.0656831 | − | 0.113766i | 0.00609852 | − | 0.0105629i | ||||
\(117\) | −1.89973 | − | 6.68251i | −0.175630 | − | 0.617799i | ||||
\(118\) | −4.00470 | − | 4.00470i | −0.368662 | − | 0.368662i | ||||
\(119\) | 10.8199 | + | 8.66733i | 0.991862 | + | 0.794533i | ||||
\(120\) | 2.57845 | + | 10.9120i | 0.235380 | + | 0.996124i | ||||
\(121\) | −10.9328 | −0.993888 | ||||||||
\(122\) | −15.3579 | − | 4.11514i | −1.39044 | − | 0.372567i | ||||
\(123\) | 2.68903 | + | 9.73936i | 0.242461 | + | 0.878168i | ||||
\(124\) | −0.0522004 | + | 0.0904138i | −0.00468774 | + | 0.00811940i | ||||
\(125\) | −6.97218 | − | 8.74007i | −0.623610 | − | 0.781735i | ||||
\(126\) | 8.64024 | + | 6.70858i | 0.769734 | + | 0.597647i | ||||
\(127\) | 9.49671 | + | 9.49671i | 0.842697 | + | 0.842697i | 0.989209 | − | 0.146512i | \(-0.0468047\pi\) |
−0.146512 | + | 0.989209i | \(0.546805\pi\) | |||||||
\(128\) | 2.68791 | + | 10.0314i | 0.237580 | + | 0.886660i | ||||
\(129\) | −9.61700 | − | 16.3690i | −0.846729 | − | 1.44121i | ||||
\(130\) | 4.85428 | + | 5.23113i | 0.425749 | + | 0.458801i | ||||
\(131\) | − | 17.3799i | − | 1.51848i | −0.650808 | − | 0.759242i | \(-0.725570\pi\) | ||
0.650808 | − | 0.759242i | \(-0.274430\pi\) | |||||||
\(132\) | −0.0437507 | − | 0.0113678i | −0.00380801 | − | 0.000989444i | ||||
\(133\) | −8.91686 | − | 3.91359i | −0.773190 | − | 0.339351i | ||||
\(134\) | 1.38480i | 0.119628i | ||||||||
\(135\) | −9.97652 | − | 5.95560i | −0.858642 | − | 0.512576i | ||||
\(136\) | −13.1374 | − | 7.58485i | −1.12652 | − | 0.650396i | ||||
\(137\) | −2.10351 | − | 2.10351i | −0.179715 | − | 0.179715i | 0.611516 | − | 0.791232i | \(-0.290560\pi\) |
−0.791232 | + | 0.611516i | \(0.790560\pi\) | |||||||
\(138\) | −9.45200 | + | 2.60969i | −0.804608 | + | 0.222151i | ||||
\(139\) | −2.18289 | + | 3.78087i | −0.185150 | + | 0.320689i | −0.943627 | − | 0.331011i | \(-0.892610\pi\) |
0.758477 | + | 0.651700i | \(0.225944\pi\) | |||||||
\(140\) | 0.584863 | + | 0.111954i | 0.0494300 | + | 0.00946187i | ||||
\(141\) | −1.80519 | + | 3.18220i | −0.152024 | + | 0.267989i | ||||
\(142\) | −15.9150 | + | 4.26441i | −1.33556 | + | 0.357861i | ||||
\(143\) | −0.579982 | + | 0.155406i | −0.0485006 | + | 0.0129957i | ||||
\(144\) | −9.92807 | − | 5.53281i | −0.827340 | − | 0.461067i | ||||
\(145\) | −1.98508 | − | 2.13918i | −0.164852 | − | 0.177649i | ||||
\(146\) | −8.76139 | + | 5.05839i | −0.725098 | + | 0.418635i | ||||
\(147\) | 10.7010 | − | 5.69983i | 0.882606 | − | 0.470114i | ||||
\(148\) | −0.201904 | − | 0.753517i | −0.0165964 | − | 0.0619387i | ||||
\(149\) | 15.3759i | 1.25964i | 0.776742 | + | 0.629819i | \(0.216871\pi\) | ||||
−0.776742 | + | 0.629819i | \(0.783129\pi\) | |||||||
\(150\) | 11.9084 | + | 0.800360i | 0.972318 | + | 0.0653491i | ||||
\(151\) | 12.7021 | 1.03369 | 0.516843 | − | 0.856080i | \(-0.327107\pi\) | ||||
0.516843 | + | 0.856080i | \(0.327107\pi\) | |||||||
\(152\) | 10.2924 | + | 2.75784i | 0.834823 | + | 0.223690i | ||||
\(153\) | 15.1205 | − | 4.29850i | 1.22242 | − | 0.347513i | ||||
\(154\) | 0.591076 | − | 0.737874i | 0.0476302 | − | 0.0594596i | ||||
\(155\) | 1.57760 | + | 1.70008i | 0.126716 | + | 0.136553i | ||||
\(156\) | 0.403717 | − | 0.00306361i | 0.0323233 | − | 0.000245285i | ||||
\(157\) | 5.65185 | + | 1.51441i | 0.451067 | + | 0.120863i | 0.477199 | − | 0.878795i | \(-0.341652\pi\) |
−0.0261316 | + | 0.999659i | \(0.508319\pi\) | |||||||
\(158\) | −20.6033 | − | 5.52064i | −1.63911 | − | 0.439199i | ||||
\(159\) | −5.29047 | + | 9.32608i | −0.419561 | + | 0.739606i | ||||
\(160\) | −1.27108 | − | 0.0474949i | −0.100487 | − | 0.00375480i | ||||
\(161\) | −1.64330 | + | 10.7434i | −0.129510 | + | 0.846697i | ||||
\(162\) | 11.8779 | − | 3.57239i | 0.933218 | − | 0.280673i | ||||
\(163\) | −12.2469 | − | 3.28156i | −0.959255 | − | 0.257032i | −0.254970 | − | 0.966949i | \(-0.582066\pi\) |
−0.704285 | + | 0.709917i | \(0.748732\pi\) | |||||||
\(164\) | −0.587161 | −0.0458496 | ||||||||
\(165\) | −0.527757 | + | 0.854341i | −0.0410858 | + | 0.0665103i | ||||
\(166\) | 20.3234i | 1.57740i | ||||||||
\(167\) | −4.58316 | − | 17.1046i | −0.354655 | − | 1.32359i | −0.880918 | − | 0.473269i | \(-0.843074\pi\) |
0.526263 | − | 0.850322i | \(-0.323593\pi\) | |||||||
\(168\) | −10.6317 | + | 7.93567i | −0.820254 | + | 0.612250i | ||||
\(169\) | −6.61403 | + | 3.81861i | −0.508772 | + | 0.293740i | ||||
\(170\) | −11.8365 | + | 10.9838i | −0.907814 | + | 0.842416i | ||||
\(171\) | −9.47753 | + | 5.66535i | −0.724765 | + | 0.433240i | ||||
\(172\) | 1.06568 | − | 0.285549i | 0.0812577 | − | 0.0217729i | ||||
\(173\) | −21.0853 | + | 5.64980i | −1.60309 | + | 0.429546i | −0.945974 | − | 0.324243i | \(-0.894890\pi\) |
−0.657115 | + | 0.753790i | \(0.728224\pi\) | |||||||
\(174\) | 3.11529 | − | 0.0236404i | 0.236170 | − | 0.00179217i | ||||
\(175\) | 6.20571 | − | 11.6829i | 0.469107 | − | 0.883141i | ||||
\(176\) | −0.491157 | + | 0.850709i | −0.0370223 | + | 0.0641246i | ||||
\(177\) | −1.78999 | + | 6.88901i | −0.134544 | + | 0.517810i | ||||
\(178\) | −6.17124 | − | 6.17124i | −0.462554 | − | 0.462554i | ||||
\(179\) | −1.91049 | − | 1.10302i | −0.142796 | − | 0.0824436i | 0.426900 | − | 0.904299i | \(-0.359606\pi\) |
−0.569696 | + | 0.821855i | \(0.692939\pi\) | |||||||
\(180\) | 0.487916 | − | 0.466746i | 0.0363671 | − | 0.0347892i | ||||
\(181\) | 8.73541i | 0.649298i | 0.945835 | + | 0.324649i | \(0.105246\pi\) | ||||
−0.945835 | + | 0.324649i | \(0.894754\pi\) | |||||||
\(182\) | −3.39356 | + | 7.73201i | −0.251547 | + | 0.573135i | ||||
\(183\) | 5.31813 | + | 19.2617i | 0.393128 | + | 1.42386i | ||||
\(184\) | − | 11.8924i | − | 0.876721i | ||||||
\(185\) | −17.3180 | − | 0.647101i | −1.27324 | − | 0.0475758i | ||||
\(186\) | −2.47582 | + | 0.0187878i | −0.181536 | + | 0.00137759i | ||||
\(187\) | −0.351636 | − | 1.31232i | −0.0257142 | − | 0.0959665i | ||||
\(188\) | −0.150338 | − | 0.150338i | −0.0109645 | − | 0.0109645i | ||||
\(189\) | 1.76879 | − | 13.6335i | 0.128661 | − | 0.991689i | ||||
\(190\) | 6.03400 | − | 9.60415i | 0.437752 | − | 0.696758i | ||||
\(191\) | −6.54207 | + | 11.3312i | −0.473367 | + | 0.819896i | −0.999535 | − | 0.0304843i | \(-0.990295\pi\) |
0.526168 | + | 0.850381i | \(0.323628\pi\) | |||||||
\(192\) | 10.1622 | − | 10.3176i | 0.733392 | − | 0.744608i | ||||
\(193\) | 18.9586 | + | 5.07995i | 1.36467 | + | 0.365663i | 0.865530 | − | 0.500858i | \(-0.166982\pi\) |
0.499142 | + | 0.866520i | \(0.333649\pi\) | |||||||
\(194\) | −0.991161 | −0.0711612 | ||||||||
\(195\) | 2.57808 | − | 8.59041i | 0.184620 | − | 0.615172i | ||||
\(196\) | 0.153783 | + | 0.687597i | 0.0109845 | + | 0.0491141i | ||||
\(197\) | −13.4777 | − | 13.4777i | −0.960248 | − | 0.960248i | 0.0389913 | − | 0.999240i | \(-0.487586\pi\) |
−0.999240 | + | 0.0389913i | \(0.987586\pi\) | |||||||
\(198\) | −0.293140 | − | 1.03115i | −0.0208325 | − | 0.0732809i | ||||
\(199\) | −1.92396 | + | 3.33240i | −0.136386 | + | 0.236228i | −0.926126 | − | 0.377214i | \(-0.876882\pi\) |
0.789740 | + | 0.613442i | \(0.210215\pi\) | |||||||
\(200\) | −4.77947 | + | 13.6635i | −0.337960 | + | 0.966152i | ||||
\(201\) | 1.50057 | − | 0.881603i | 0.105842 | − | 0.0621835i | ||||
\(202\) | 0.0743282 | + | 0.277396i | 0.00522971 | + | 0.0195175i | ||||
\(203\) | 1.38774 | − | 3.16188i | 0.0974002 | − | 0.221920i | ||||
\(204\) | 0.00693200 | + | 0.913489i | 0.000485337 | + | 0.0639570i | ||||
\(205\) | −3.84411 | + | 12.4646i | −0.268485 | + | 0.870565i | ||||
\(206\) | −4.58730 | − | 2.64848i | −0.319613 | − | 0.184528i | ||||
\(207\) | 8.84529 | + | 8.58080i | 0.614790 | + | 0.596407i | ||||
\(208\) | 2.27073 | − | 8.47447i | 0.157447 | − | 0.587599i | ||||
\(209\) | 0.477158 | + | 0.826462i | 0.0330057 | + | 0.0571676i | ||||
\(210\) | 4.73686 | + | 13.3039i | 0.326875 | + | 0.918055i | ||||
\(211\) | 2.11219 | − | 3.65842i | 0.145409 | − | 0.251856i | −0.784116 | − | 0.620614i | \(-0.786883\pi\) |
0.929526 | + | 0.368758i | \(0.120217\pi\) | |||||||
\(212\) | −0.440597 | − | 0.440597i | −0.0302603 | − | 0.0302603i | ||||
\(213\) | 14.7529 | + | 14.5307i | 1.01085 | + | 0.995625i | ||||
\(214\) | 5.31982i | 0.363656i | ||||||||
\(215\) | 0.915182 | − | 24.4925i | 0.0624149 | − | 1.67037i | ||||
\(216\) | 0.342428 | + | 15.0392i | 0.0232993 | + | 1.02329i | ||||
\(217\) | −1.10288 | + | 2.51284i | −0.0748684 | + | 0.170583i | ||||
\(218\) | 18.4146 | + | 4.93419i | 1.24720 | + | 0.334185i | ||||
\(219\) | 11.0591 | + | 6.27354i | 0.747301 | + | 0.423926i | ||||
\(220\) | −0.0396953 | − | 0.0427770i | −0.00267626 | − | 0.00288402i | ||||
\(221\) | 6.06716 | + | 10.5086i | 0.408121 | + | 0.706887i | ||||
\(222\) | 12.9820 | − | 13.1805i | 0.871295 | − | 0.884619i | ||||
\(223\) | 5.75589 | − | 21.4813i | 0.385443 | − | 1.43849i | −0.452025 | − | 0.892005i | \(-0.649298\pi\) |
0.837467 | − | 0.546487i | \(-0.184035\pi\) | |||||||
\(224\) | −0.546781 | − | 1.40217i | −0.0365333 | − | 0.0936864i | ||||
\(225\) | −6.71398 | − | 13.4135i | −0.447599 | − | 0.894234i | ||||
\(226\) | −13.3934 | − | 23.1980i | −0.890913 | − | 1.54311i | ||||
\(227\) | 15.6374 | − | 15.6374i | 1.03789 | − | 1.03789i | 0.0386343 | − | 0.999253i | \(-0.487699\pi\) |
0.999253 | − | 0.0386343i | \(-0.0123008\pi\) | |||||||
\(228\) | −0.170775 | − | 0.618527i | −0.0113098 | − | 0.0409629i | ||||
\(229\) | 5.01066 | 0.331114 | 0.165557 | − | 0.986200i | \(-0.447058\pi\) | ||||
0.165557 | + | 0.986200i | \(0.447058\pi\) | |||||||
\(230\) | −12.0968 | − | 3.73070i | −0.797641 | − | 0.245995i | ||||
\(231\) | −1.17586 | − | 0.170738i | −0.0773658 | − | 0.0112337i | ||||
\(232\) | −0.977916 | + | 3.64963i | −0.0642033 | + | 0.239610i | ||||
\(233\) | 24.3109 | + | 6.51408i | 1.59266 | + | 0.426751i | 0.942815 | − | 0.333317i | \(-0.108168\pi\) |
0.649843 | + | 0.760069i | \(0.274835\pi\) | |||||||
\(234\) | 4.91256 | + | 8.21819i | 0.321144 | + | 0.537240i | ||||
\(235\) | −4.17573 | + | 2.20721i | −0.272394 | + | 0.143983i | ||||
\(236\) | −0.358218 | − | 0.206818i | −0.0233180 | − | 0.0134627i | ||||
\(237\) | 7.13451 | + | 25.8404i | 0.463436 | + | 1.67852i | ||||
\(238\) | −17.4952 | − | 7.67859i | −1.13404 | − | 0.497729i | ||||
\(239\) | −2.65588 | − | 1.53337i | −0.171794 | − | 0.0991856i | 0.411637 | − | 0.911348i | \(-0.364957\pi\) |
−0.583432 | + | 0.812162i | \(0.698290\pi\) | |||||||
\(240\) | −6.95515 | − | 12.9199i | −0.448953 | − | 0.833975i | ||||
\(241\) | − | 20.7869i | − | 1.33900i | −0.742811 | − | 0.669501i | \(-0.766508\pi\) | ||
0.742811 | − | 0.669501i | \(-0.233492\pi\) | |||||||
\(242\) | 14.5538 | − | 3.89968i | 0.935553 | − | 0.250681i | ||||
\(243\) | −11.4329 | − | 10.5967i | −0.733420 | − | 0.679775i | ||||
\(244\) | −1.16124 | −0.0743406 | ||||||||
\(245\) | 15.6035 | + | 1.23706i | 0.996872 | + | 0.0790331i | ||||
\(246\) | −7.05364 | − | 12.0059i | −0.449724 | − | 0.765471i | ||||
\(247\) | −6.02692 | − | 6.02692i | −0.383484 | − | 0.383484i | ||||
\(248\) | 0.777181 | − | 2.90048i | 0.0493511 | − | 0.184181i | ||||
\(249\) | 22.0224 | − | 12.9385i | 1.39562 | − | 0.819942i | ||||
\(250\) | 12.3990 | + | 9.14789i | 0.784179 | + | 0.578564i | ||||
\(251\) | − | 22.8147i | − | 1.44005i | −0.693946 | − | 0.720027i | \(-0.744129\pi\) | ||
0.693946 | − | 0.720027i | \(-0.255871\pi\) | |||||||
\(252\) | 0.736352 | + | 0.309942i | 0.0463858 | + | 0.0195245i | ||||
\(253\) | 0.753139 | − | 0.753139i | 0.0473494 | − | 0.0473494i | ||||
\(254\) | −16.0295 | − | 9.25465i | −1.00578 | − | 0.580689i | ||||
\(255\) | 19.4375 | + | 5.83342i | 1.21722 | + | 0.365303i | ||||
\(256\) | 1.20475 | + | 2.08668i | 0.0752967 | + | 0.130418i | ||||
\(257\) | 7.08492 | − | 7.08492i | 0.441945 | − | 0.441945i | −0.450720 | − | 0.892665i | \(-0.648833\pi\) |
0.892665 | + | 0.450720i | \(0.148833\pi\) | |||||||
\(258\) | 18.6410 | + | 18.3602i | 1.16054 | + | 1.14306i | ||||
\(259\) | −7.44969 | − | 19.1040i | −0.462901 | − | 1.18707i | ||||
\(260\) | 0.441337 | + | 0.277279i | 0.0273706 | + | 0.0171961i | ||||
\(261\) | −2.00891 | − | 3.36069i | −0.124348 | − | 0.208021i | ||||
\(262\) | 6.19932 | + | 23.1362i | 0.382995 | + | 1.42936i | ||||
\(263\) | 5.60737 | − | 5.60737i | 0.345766 | − | 0.345766i | −0.512764 | − | 0.858530i | \(-0.671378\pi\) |
0.858530 | + | 0.512764i | \(0.171378\pi\) | |||||||
\(264\) | 1.30011 | − | 0.00986589i | 0.0800164 | − | 0.000607204i | ||||
\(265\) | −12.2378 | + | 6.46868i | −0.751763 | + | 0.397368i | ||||
\(266\) | 13.2662 | + | 2.02919i | 0.813400 | + | 0.124417i | ||||
\(267\) | −2.75837 | + | 10.6160i | −0.168810 | + | 0.649687i | ||||
\(268\) | 0.0261767 | + | 0.0976928i | 0.00159900 | + | 0.00596754i | ||||
\(269\) | −6.74817 | + | 11.6882i | −0.411443 | + | 0.712641i | −0.995048 | − | 0.0993972i | \(-0.968309\pi\) |
0.583604 | + | 0.812038i | \(0.301642\pi\) | |||||||
\(270\) | 15.4051 | + | 4.36955i | 0.937528 | + | 0.265922i | ||||
\(271\) | 8.72237 | − | 5.03586i | 0.529846 | − | 0.305907i | −0.211107 | − | 0.977463i | \(-0.567707\pi\) |
0.740954 | + | 0.671556i | \(0.234374\pi\) | |||||||
\(272\) | 19.1751 | + | 5.13796i | 1.16266 | + | 0.311535i | ||||
\(273\) | 10.5389 | − | 1.24516i | 0.637841 | − | 0.0753608i | ||||
\(274\) | 3.55053 | + | 2.04990i | 0.214495 | + | 0.123839i | ||||
\(275\) | −1.16798 | + | 0.562616i | −0.0704317 | + | 0.0339270i | ||||
\(276\) | −0.617476 | + | 0.362775i | −0.0371677 | + | 0.0218365i | ||||
\(277\) | 6.08841 | + | 6.08841i | 0.365817 | + | 0.365817i | 0.865949 | − | 0.500132i | \(-0.166715\pi\) |
−0.500132 | + | 0.865949i | \(0.666715\pi\) | |||||||
\(278\) | 1.55725 | − | 5.81175i | 0.0933978 | − | 0.348565i | ||||
\(279\) | 1.59654 | + | 2.67085i | 0.0955825 | + | 0.159899i | ||||
\(280\) | −17.0822 | + | 1.24351i | −1.02085 | + | 0.0743140i | ||||
\(281\) | −8.22404 | − | 14.2445i | −0.490605 | − | 0.849753i | 0.509336 | − | 0.860568i | \(-0.329891\pi\) |
−0.999942 | + | 0.0108144i | \(0.996558\pi\) | |||||||
\(282\) | 1.26800 | − | 4.88007i | 0.0755083 | − | 0.290604i | ||||
\(283\) | −0.785779 | + | 2.93257i | −0.0467097 | + | 0.174323i | −0.985340 | − | 0.170602i | \(-0.945429\pi\) |
0.938630 | + | 0.344925i | \(0.112096\pi\) | |||||||
\(284\) | −1.04214 | + | 0.601680i | −0.0618396 | + | 0.0357031i | ||||
\(285\) | −14.2485 | − | 0.424163i | −0.844009 | − | 0.0251253i | ||||
\(286\) | 0.716644 | − | 0.413755i | 0.0423761 | − | 0.0244658i | ||||
\(287\) | −15.3404 | + | 1.69454i | −0.905517 | + | 0.100025i | ||||
\(288\) | −1.65488 | − | 0.416613i | −0.0975150 | − | 0.0245492i | ||||
\(289\) | −9.05538 | + | 5.22812i | −0.532669 | + | 0.307537i | ||||
\(290\) | 3.40559 | + | 2.13963i | 0.199983 | + | 0.125643i | ||||
\(291\) | 0.631003 | + | 1.07402i | 0.0369900 | + | 0.0629604i | ||||
\(292\) | −0.522469 | + | 0.522469i | −0.0305752 | + | 0.0305752i | ||||
\(293\) | 7.46580 | − | 2.00045i | 0.436157 | − | 0.116868i | −0.0340582 | − | 0.999420i | \(-0.510843\pi\) |
0.470215 | + | 0.882552i | \(0.344176\pi\) | |||||||
\(294\) | −12.2122 | + | 11.4047i | −0.712229 | + | 0.665134i | ||||
\(295\) | −6.73568 | + | 6.25045i | −0.392167 | + | 0.363915i | ||||
\(296\) | 11.2187 | + | 19.4313i | 0.652072 | + | 1.12942i | ||||
\(297\) | −0.930739 | + | 0.974110i | −0.0540069 | + | 0.0565236i | ||||
\(298\) | −5.48450 | − | 20.4684i | −0.317709 | − | 1.18571i | ||||
\(299\) | −4.75640 | + | 8.23833i | −0.275070 | + | 0.476435i | ||||
\(300\) | 0.855228 | − | 0.168641i | 0.0493766 | − | 0.00973650i | ||||
\(301\) | 27.0185 | − | 10.5359i | 1.55732 | − | 0.607282i | ||||
\(302\) | −16.9092 | + | 4.53080i | −0.973014 | + | 0.260718i | ||||
\(303\) | 0.253268 | − | 0.257141i | 0.0145499 | − | 0.0147724i | ||||
\(304\) | −13.9441 | −0.799748 | ||||||||
\(305\) | −7.60257 | + | 24.6514i | −0.435322 | + | 1.41154i | ||||
\(306\) | −18.5952 | + | 11.1156i | −1.06302 | + | 0.635437i | ||||
\(307\) | −15.0183 | + | 15.0183i | −0.857140 | + | 0.857140i | −0.991000 | − | 0.133860i | \(-0.957263\pi\) |
0.133860 | + | 0.991000i | \(0.457263\pi\) | |||||||
\(308\) | 0.0277504 | − | 0.0632276i | 0.00158123 | − | 0.00360273i | ||||
\(309\) | 0.0505159 | + | 6.65691i | 0.00287375 | + | 0.378699i | ||||
\(310\) | −2.70653 | − | 1.70043i | −0.153720 | − | 0.0965779i | ||||
\(311\) | −13.0916 | + | 7.55846i | −0.742359 | + | 0.428601i | −0.822926 | − | 0.568148i | \(-0.807660\pi\) |
0.0805674 | + | 0.996749i | \(0.474327\pi\) | |||||||
\(312\) | −11.1933 | + | 3.09047i | −0.633697 | + | 0.174963i | ||||
\(313\) | −9.00816 | + | 2.41373i | −0.509171 | + | 0.136432i | −0.504253 | − | 0.863556i | \(-0.668232\pi\) |
−0.00491817 | + | 0.999988i | \(0.501566\pi\) | |||||||
\(314\) | −8.06397 | −0.455076 | ||||||||
\(315\) | 11.4005 | − | 13.6025i | 0.642345 | − | 0.766416i | ||||
\(316\) | −1.55785 | −0.0876360 | ||||||||
\(317\) | 17.8406 | − | 4.78039i | 1.00203 | − | 0.268493i | 0.279734 | − | 0.960077i | \(-0.409754\pi\) |
0.722296 | + | 0.691584i | \(0.243087\pi\) | |||||||
\(318\) | 3.71613 | − | 14.3020i | 0.208390 | − | 0.802018i | ||||
\(319\) | −0.293059 | + | 0.169198i | −0.0164082 | + | 0.00947327i | ||||
\(320\) | 18.2270 | − | 4.16117i | 1.01892 | − | 0.232617i | ||||
\(321\) | 5.76457 | − | 3.38676i | 0.321747 | − | 0.189031i | ||||
\(322\) | −1.64454 | − | 14.8878i | −0.0916467 | − | 0.829666i | ||||
\(323\) | 13.6371 | − | 13.6371i | 0.758788 | − | 0.758788i | ||||
\(324\) | 0.770419 | − | 0.476548i | 0.0428011 | − | 0.0264749i | ||||
\(325\) | 8.77565 | − | 7.55363i | 0.486785 | − | 0.419000i | ||||
\(326\) | 17.4737 | 0.967781 | ||||||||
\(327\) | −6.37662 | − | 23.0954i | −0.352628 | − | 1.27718i | ||||
\(328\) | 16.3126 | − | 4.37094i | 0.900712 | − | 0.241345i | ||||
\(329\) | −4.36168 | − | 3.49393i | −0.240467 | − | 0.192627i | ||||
\(330\) | 0.397814 | − | 1.32555i | 0.0218990 | − | 0.0729693i | ||||
\(331\) | −2.99697 | + | 5.19091i | −0.164728 | + | 0.285318i | −0.936559 | − | 0.350510i | \(-0.886008\pi\) |
0.771830 | + | 0.635829i | \(0.219341\pi\) | |||||||
\(332\) | 0.384171 | + | 1.43375i | 0.0210841 | + | 0.0786870i | ||||
\(333\) | −22.5472 | − | 5.67620i | −1.23558 | − | 0.311054i | ||||
\(334\) | 12.2023 | + | 21.1349i | 0.667678 | + | 1.15645i | ||||
\(335\) | 2.24526 | + | 0.0838960i | 0.122672 | + | 0.00458373i | ||||
\(336\) | 10.7511 | − | 13.6320i | 0.586521 | − | 0.743685i | ||||
\(337\) | −20.3805 | + | 5.46095i | −1.11020 | + | 0.297477i | −0.766911 | − | 0.641753i | \(-0.778207\pi\) |
−0.343288 | + | 0.939230i | \(0.611541\pi\) | |||||||
\(338\) | 7.44257 | − | 7.44257i | 0.404822 | − | 0.404822i | ||||
\(339\) | −16.6108 | + | 29.2816i | −0.902173 | + | 1.59036i | ||||
\(340\) | −0.627397 | + | 0.998611i | −0.0340254 | + | 0.0541573i | ||||
\(341\) | 0.232904 | − | 0.134467i | 0.0126124 | − | 0.00728180i | ||||
\(342\) | 10.5958 | − | 10.9224i | 0.572953 | − | 0.590613i | ||||
\(343\) | 6.00221 | + | 17.5207i | 0.324089 | + | 0.946027i | ||||
\(344\) | −27.4813 | + | 15.8663i | −1.48169 | + | 0.855456i | ||||
\(345\) | 3.65861 | + | 15.4832i | 0.196973 | + | 0.833589i | ||||
\(346\) | 26.0537 | − | 15.0421i | 1.40066 | − | 0.808669i | ||||
\(347\) | 1.61195 | − | 6.01588i | 0.0865340 | − | 0.322949i | −0.909066 | − | 0.416652i | \(-0.863204\pi\) |
0.995600 | + | 0.0937023i | \(0.0298702\pi\) | |||||||
\(348\) | 0.219327 | − | 0.0605559i | 0.0117571 | − | 0.00324614i | ||||
\(349\) | 8.70295 | + | 15.0740i | 0.465858 | + | 0.806890i | 0.999240 | − | 0.0389846i | \(-0.0124123\pi\) |
−0.533382 | + | 0.845875i | \(0.679079\pi\) | |||||||
\(350\) | −4.09385 | + | 17.7659i | −0.218826 | + | 0.949625i | ||||
\(351\) | 5.77776 | − | 10.5552i | 0.308394 | − | 0.563395i | ||||
\(352\) | −0.0381735 | + | 0.142466i | −0.00203466 | + | 0.00759344i | ||||
\(353\) | −0.314460 | − | 0.314460i | −0.0167370 | − | 0.0167370i | 0.698689 | − | 0.715426i | \(-0.253767\pi\) |
−0.715426 | + | 0.698689i | \(0.753767\pi\) | |||||||
\(354\) | −0.0744369 | − | 9.80918i | −0.00395628 | − | 0.521352i | ||||
\(355\) | 5.94996 | + | 26.0623i | 0.315791 | + | 1.38324i | ||||
\(356\) | −0.552015 | − | 0.318706i | −0.0292567 | − | 0.0168914i | ||||
\(357\) | 2.81743 | + | 23.8462i | 0.149114 | + | 1.26208i | ||||
\(358\) | 2.93670 | + | 0.786885i | 0.155209 | + | 0.0415882i | ||||
\(359\) | 5.72792 | − | 3.30701i | 0.302308 | − | 0.174538i | −0.341171 | − | 0.940001i | \(-0.610824\pi\) |
0.643479 | + | 0.765464i | \(0.277490\pi\) | |||||||
\(360\) | −10.0808 | + | 16.5993i | −0.531304 | + | 0.874862i | ||||
\(361\) | 2.72667 | − | 4.72274i | 0.143509 | − | 0.248565i | ||||
\(362\) | −3.11589 | − | 11.6286i | −0.163767 | − | 0.611188i | ||||
\(363\) | −13.4911 | − | 13.2879i | −0.708098 | − | 0.697432i | ||||
\(364\) | −0.0932467 | + | 0.609616i | −0.00488745 | + | 0.0319526i | ||||
\(365\) | 7.67069 | + | 14.5118i | 0.401502 | + | 0.759585i | ||||
\(366\) | −13.9501 | − | 23.7443i | −0.729184 | − | 1.24114i | ||||
\(367\) | 21.3161 | − | 21.3161i | 1.11269 | − | 1.11269i | 0.119904 | − | 0.992786i | \(-0.461741\pi\) |
0.992786 | − | 0.119904i | \(-0.0382586\pi\) | |||||||
\(368\) | 4.02795 | + | 15.0325i | 0.209971 | + | 0.783624i | ||||
\(369\) | −8.51910 | + | 15.2867i | −0.443487 | + | 0.795793i | ||||
\(370\) | 23.2846 | − | 5.31582i | 1.21051 | − | 0.276356i | ||||
\(371\) | −12.7828 | − | 10.2397i | −0.663650 | − | 0.531618i | ||||
\(372\) | −0.174306 | + | 0.0481257i | −0.00903734 | + | 0.00249520i | ||||
\(373\) | −23.4913 | + | 23.4913i | −1.21633 | + | 1.21633i | −0.247426 | + | 0.968907i | \(0.579585\pi\) |
−0.968907 | + | 0.247426i | \(0.920415\pi\) | |||||||
\(374\) | 0.936200 | + | 1.62155i | 0.0484098 | + | 0.0838482i | ||||
\(375\) | 2.01913 | − | 19.2594i | 0.104267 | − | 0.994549i | ||||
\(376\) | 5.29587 | + | 3.05757i | 0.273114 | + | 0.157682i | ||||
\(377\) | 2.13712 | − | 2.13712i | 0.110067 | − | 0.110067i | ||||
\(378\) | 2.50837 | + | 18.7799i | 0.129017 | + | 0.965933i | ||||
\(379\) | − | 2.84911i | − | 0.146349i | −0.997319 | − | 0.0731746i | \(-0.976687\pi\) | ||
0.997319 | − | 0.0731746i | \(-0.0233130\pi\) | |||||||
\(380\) | 0.244132 | − | 0.791601i | 0.0125237 | − | 0.0406083i | ||||
\(381\) | 0.176519 | + | 23.2614i | 0.00904335 | + | 1.19172i | ||||
\(382\) | 4.66706 | − | 17.4177i | 0.238787 | − | 0.891167i | ||||
\(383\) | −21.9818 | − | 21.9818i | −1.12322 | − | 1.12322i | −0.991254 | − | 0.131965i | \(-0.957871\pi\) |
−0.131965 | − | 0.991254i | \(-0.542129\pi\) | |||||||
\(384\) | −8.87545 | + | 15.6457i | −0.452923 | + | 0.798417i | ||||
\(385\) | −1.16055 | − | 1.00305i | −0.0591472 | − | 0.0511202i | ||||
\(386\) | −27.0498 | −1.37680 | ||||||||
\(387\) | 8.02774 | − | 31.8880i | 0.408073 | − | 1.62096i | ||||
\(388\) | −0.0699231 | + | 0.0187358i | −0.00354981 | + | 0.000951168i | ||||
\(389\) | − | 30.9555i | − | 1.56951i | −0.619808 | − | 0.784753i | \(-0.712790\pi\) | ||
0.619808 | − | 0.784753i | \(-0.287210\pi\) | |||||||
\(390\) | −0.367802 | + | 12.3552i | −0.0186244 | + | 0.625630i | ||||
\(391\) | −18.6408 | − | 10.7623i | −0.942707 | − | 0.544272i | ||||
\(392\) | −9.39104 | − | 17.9581i | −0.474319 | − | 0.907022i | ||||
\(393\) | 21.1238 | − | 21.4468i | 1.06555 | − | 1.08185i | ||||
\(394\) | 22.7491 | + | 13.1342i | 1.14608 | + | 0.661691i | ||||
\(395\) | −10.1992 | + | 33.0710i | −0.513177 | + | 1.66398i | ||||
\(396\) | −0.0401718 | − | 0.0672033i | −0.00201871 | − | 0.00337709i | ||||
\(397\) | −25.6387 | − | 6.86987i | −1.28677 | − | 0.344789i | −0.450337 | − | 0.892859i | \(-0.648696\pi\) |
−0.836433 | + | 0.548070i | \(0.815363\pi\) | |||||||
\(398\) | 1.37254 | − | 5.12239i | 0.0687993 | − | 0.256762i | ||||
\(399\) | −6.24680 | − | 15.6671i | −0.312731 | − | 0.784335i | ||||
\(400\) | 1.41366 | − | 18.8900i | 0.0706828 | − | 0.944499i | ||||
\(401\) | 8.80599 | 0.439750 | 0.219875 | − | 0.975528i | \(-0.429435\pi\) | ||||
0.219875 | + | 0.975528i | \(0.429435\pi\) | |||||||
\(402\) | −1.68310 | + | 1.70884i | −0.0839456 | + | 0.0852294i | ||||
\(403\) | −1.69844 | + | 1.69844i | −0.0846051 | + | 0.0846051i | ||||
\(404\) | 0.0104872 | + | 0.0181644i | 0.000521758 | + | 0.000903712i | ||||
\(405\) | −5.07253 | − | 19.4748i | −0.252056 | − | 0.967713i | ||||
\(406\) | −0.719540 | + | 4.70411i | −0.0357102 | + | 0.233461i | ||||
\(407\) | −0.520100 | + | 1.94104i | −0.0257804 | + | 0.0962138i | ||||
\(408\) | −6.99278 | − | 25.3271i | −0.346194 | − | 1.25388i | ||||
\(409\) | −7.62790 | − | 13.2119i | −0.377175 | − | 0.653287i | 0.613475 | − | 0.789714i | \(-0.289771\pi\) |
−0.990650 | + | 0.136428i | \(0.956438\pi\) | |||||||
\(410\) | 0.671246 | − | 17.9641i | 0.0331505 | − | 0.887185i | ||||
\(411\) | −0.0390988 | − | 5.15238i | −0.00192860 | − | 0.254148i | ||||
\(412\) | −0.373683 | − | 0.100128i | −0.0184100 | − | 0.00493296i | ||||
\(413\) | −9.95586 | − | 4.36960i | −0.489896 | − | 0.215014i | ||||
\(414\) | −14.8357 | − | 8.26775i | −0.729133 | − | 0.406338i | ||||
\(415\) | 32.9515 | + | 1.23126i | 1.61753 | + | 0.0604403i | ||||
\(416\) | − | 1.31730i | − | 0.0645859i | ||||||
\(417\) | −7.28901 | + | 2.01249i | −0.356945 | + | 0.0985521i | ||||
\(418\) | −0.929992 | − | 0.929992i | −0.0454874 | − | 0.0454874i | ||||
\(419\) | −1.97540 | + | 3.42149i | −0.0965046 | + | 0.167151i | −0.910236 | − | 0.414091i | \(-0.864100\pi\) |
0.813731 | + | 0.581242i | \(0.197433\pi\) | |||||||
\(420\) | 0.585652 | + | 0.849004i | 0.0285769 | + | 0.0414272i | ||||
\(421\) | −4.13167 | − | 7.15626i | −0.201365 | − | 0.348775i | 0.747603 | − | 0.664145i | \(-0.231204\pi\) |
−0.948969 | + | 0.315371i | \(0.897871\pi\) | |||||||
\(422\) | −1.50682 | + | 5.62353i | −0.0733509 | + | 0.273749i | ||||
\(423\) | −6.09530 | + | 1.73279i | −0.296364 | + | 0.0842512i | ||||
\(424\) | 15.5206 | + | 8.96083i | 0.753748 | + | 0.435177i | ||||
\(425\) | 17.0916 | + | 19.8566i | 0.829062 | + | 0.963187i | ||||
\(426\) | −24.8222 | − | 14.0810i | −1.20264 | − | 0.682228i | ||||
\(427\) | −30.3390 | + | 3.35132i | −1.46821 | + | 0.162182i | ||||
\(428\) | 0.100560 | + | 0.375296i | 0.00486076 | + | 0.0181406i | ||||
\(429\) | −0.904583 | − | 0.513148i | −0.0436737 | − | 0.0247750i | ||||
\(430\) | 7.51806 | + | 32.9310i | 0.362553 | + | 1.58807i | ||||
\(431\) | 14.3973 | − | 24.9369i | 0.693495 | − | 1.20117i | −0.277191 | − | 0.960815i | \(-0.589403\pi\) |
0.970686 | − | 0.240353i | \(-0.0772632\pi\) | |||||||
\(432\) | −5.52662 | − | 18.8942i | −0.265899 | − | 0.909050i | ||||
\(433\) | 21.8648 | + | 21.8648i | 1.05076 | + | 1.05076i | 0.998641 | + | 0.0521139i | \(0.0165959\pi\) |
0.0521139 | + | 0.998641i | \(0.483404\pi\) | |||||||
\(434\) | 0.571841 | − | 3.73851i | 0.0274493 | − | 0.179454i | ||||
\(435\) | 0.150406 | − | 5.05245i | 0.00721143 | − | 0.242246i | ||||
\(436\) | 1.39236 | 0.0666820 | ||||||||
\(437\) | 14.6041 | + | 3.91315i | 0.698607 | + | 0.187191i | ||||
\(438\) | −16.9596 | − | 4.40666i | −0.810363 | − | 0.210558i | ||||
\(439\) | 19.4215 | − | 33.6390i | 0.926937 | − | 1.60550i | 0.138521 | − | 0.990360i | \(-0.455765\pi\) |
0.788416 | − | 0.615142i | \(-0.210902\pi\) | |||||||
\(440\) | 1.42126 | + | 0.892936i | 0.0677560 | + | 0.0425690i | ||||
\(441\) | 20.1328 | + | 5.97259i | 0.958703 | + | 0.284409i | ||||
\(442\) | −11.8250 | − | 11.8250i | −0.562459 | − | 0.562459i | ||||
\(443\) | −0.906150 | − | 3.38180i | −0.0430525 | − | 0.160674i | 0.941053 | − | 0.338259i | \(-0.109838\pi\) |
−0.984105 | + | 0.177585i | \(0.943171\pi\) | |||||||
\(444\) | 0.666686 | − | 1.17524i | 0.0316395 | − | 0.0557744i | ||||
\(445\) | −10.3797 | + | 9.63194i | −0.492045 | + | 0.456598i | ||||
\(446\) | 30.6491i | 1.45128i | ||||||||
\(447\) | −18.6881 | + | 18.9739i | −0.883915 | + | 0.897432i | ||||
\(448\) | 13.0972 | + | 17.8274i | 0.618784 | + | 0.842266i | ||||
\(449\) | 1.32063i | 0.0623244i | 0.999514 | + | 0.0311622i | \(0.00992085\pi\) | ||||
−0.999514 | + | 0.0311622i | \(0.990079\pi\) | |||||||
\(450\) | 13.7223 | + | 15.4613i | 0.646873 | + | 0.728854i | ||||
\(451\) | 1.30987 | + | 0.756256i | 0.0616795 | + | 0.0356107i | ||||
\(452\) | −1.38337 | − | 1.38337i | −0.0650681 | − | 0.0650681i | ||||
\(453\) | 15.6745 | + | 15.4384i | 0.736451 | + | 0.725358i | ||||
\(454\) | −15.2388 | + | 26.3943i | −0.715191 | + | 1.23875i | ||||
\(455\) | 12.3308 | + | 5.97062i | 0.578077 | + | 0.279907i | ||||
\(456\) | 9.34893 | + | 15.9127i | 0.437804 | + | 0.745181i | ||||
\(457\) | −11.2703 | + | 3.01986i | −0.527201 | + | 0.141263i | −0.512595 | − | 0.858630i | \(-0.671316\pi\) |
−0.0146055 | + | 0.999893i | \(0.504649\pi\) | |||||||
\(458\) | −6.67023 | + | 1.78728i | −0.311679 | + | 0.0835142i | ||||
\(459\) | 23.8832 | + | 13.0733i | 1.11477 | + | 0.610210i | ||||
\(460\) | −0.923912 | − | 0.0345228i | −0.0430776 | − | 0.00160963i | ||||
\(461\) | −12.3918 | + | 7.15441i | −0.577143 | + | 0.333214i | −0.759997 | − | 0.649926i | \(-0.774800\pi\) |
0.182854 | + | 0.983140i | \(0.441466\pi\) | |||||||
\(462\) | 1.62621 | − | 0.192137i | 0.0756583 | − | 0.00893901i | ||||
\(463\) | 11.0882 | + | 41.3816i | 0.515311 | + | 1.92317i | 0.349146 | + | 0.937068i | \(0.386472\pi\) |
0.166164 | + | 0.986098i | \(0.446862\pi\) | |||||||
\(464\) | − | 4.94451i | − | 0.229543i | ||||||
\(465\) | −0.119533 | + | 4.01534i | −0.00554319 | + | 0.186207i | ||||
\(466\) | −34.6863 | −1.60681 | ||||||||
\(467\) | 6.28495 | + | 1.68405i | 0.290833 | + | 0.0779284i | 0.401286 | − | 0.915953i | \(-0.368563\pi\) |
−0.110453 | + | 0.993881i | \(0.535230\pi\) | |||||||
\(468\) | 0.501912 | + | 0.486904i | 0.0232009 | + | 0.0225071i | ||||
\(469\) | 0.965845 | + | 2.47682i | 0.0445986 | + | 0.114369i | ||||
\(470\) | 4.77145 | − | 4.42772i | 0.220091 | − | 0.204235i | ||||
\(471\) | 5.13377 | + | 8.73814i | 0.236552 | + | 0.402632i | ||||
\(472\) | 11.4917 | + | 3.07918i | 0.528947 | + | 0.141731i | ||||
\(473\) | −2.74518 | − | 0.735568i | −0.126223 | − | 0.0338214i | ||||
\(474\) | −18.7147 | − | 31.8541i | −0.859594 | − | 1.46311i | ||||
\(475\) | −15.2062 | − | 10.3652i | −0.697710 | − | 0.475586i | ||||
\(476\) | −1.37937 | − | 0.210989i | −0.0632235 | − | 0.00967065i | ||||
\(477\) | −17.8635 | + | 5.07830i | −0.817914 | + | 0.232519i | ||||
\(478\) | 4.08247 | + | 1.09390i | 0.186728 | + | 0.0500336i | ||||
\(479\) | 25.3958 | 1.16036 | 0.580182 | − | 0.814487i | \(-0.302982\pi\) | ||||
0.580182 | + | 0.814487i | \(0.302982\pi\) | |||||||
\(480\) | −1.51079 | − | 1.60350i | −0.0689577 | − | 0.0731893i | ||||
\(481\) | − | 17.9477i | − | 0.818346i | ||||||
\(482\) | 7.41460 | + | 27.6717i | 0.337726 | + | 1.26041i | ||||
\(483\) | −15.0855 | + | 11.2601i | −0.686415 | + | 0.512351i | ||||
\(484\) | 0.953006 | − | 0.550218i | 0.0433185 | − | 0.0250099i | ||||
\(485\) | −0.0600481 | + | 1.60703i | −0.00272665 | + | 0.0729715i | ||||
\(486\) | 18.9993 | + | 10.0283i | 0.861827 | + | 0.454892i | ||||
\(487\) | 39.0369 | − | 10.4599i | 1.76893 | − | 0.473983i | 0.780435 | − | 0.625237i | \(-0.214998\pi\) |
0.988495 | + | 0.151254i | \(0.0483310\pi\) | |||||||
\(488\) | 32.2617 | − | 8.64449i | 1.46042 | − | 0.391318i | ||||
\(489\) | −11.1243 | − | 18.9346i | −0.503059 | − | 0.856252i | ||||
\(490\) | −21.2128 | + | 3.91892i | −0.958295 | + | 0.177039i | ||||
\(491\) | 3.12056 | − | 5.40496i | 0.140829 | − | 0.243923i | −0.786980 | − | 0.616978i | \(-0.788357\pi\) |
0.927809 | + | 0.373056i | \(0.121690\pi\) | |||||||
\(492\) | −0.724558 | − | 0.713644i | −0.0326656 | − | 0.0321736i | ||||
\(493\) | 4.83564 | + | 4.83564i | 0.217786 | + | 0.217786i | ||||
\(494\) | 10.1729 | + | 5.87331i | 0.457699 | + | 0.264253i | ||||
\(495\) | −1.68963 | + | 0.412815i | −0.0759434 | + | 0.0185546i | ||||
\(496\) | 3.92956i | 0.176442i | ||||||||
\(497\) | −25.4910 | + | 18.7274i | −1.14343 | + | 0.840037i | ||||
\(498\) | −24.7013 | + | 25.0791i | −1.10689 | + | 1.12382i | ||||
\(499\) | − | 7.19985i | − | 0.322310i | −0.986929 | − | 0.161155i | \(-0.948478\pi\) | ||
0.986929 | − | 0.161155i | \(-0.0515219\pi\) | |||||||
\(500\) | 1.04763 | + | 0.410977i | 0.0468513 | + | 0.0183794i | ||||
\(501\) | 15.1335 | − | 26.6775i | 0.676117 | − | 1.19186i | ||||
\(502\) | 8.13793 | + | 30.3712i | 0.363213 | + | 1.35553i | ||||
\(503\) | 7.68911 | + | 7.68911i | 0.342840 | + | 0.342840i | 0.857434 | − | 0.514594i | \(-0.172057\pi\) |
−0.514594 | + | 0.857434i | \(0.672057\pi\) | |||||||
\(504\) | −22.7647 | − | 3.12930i | −1.01402 | − | 0.139390i | ||||
\(505\) | 0.454263 | − | 0.103707i | 0.0202145 | − | 0.00461491i | ||||
\(506\) | −0.733943 | + | 1.27123i | −0.0326277 | + | 0.0565129i | ||||
\(507\) | −12.8029 | − | 3.32662i | −0.568599 | − | 0.147740i | ||||
\(508\) | −1.30577 | − | 0.349880i | −0.0579342 | − | 0.0155234i | ||||
\(509\) | 13.9192 | 0.616960 | 0.308480 | − | 0.951231i | \(-0.400180\pi\) | ||||
0.308480 | + | 0.951231i | \(0.400180\pi\) | |||||||
\(510\) | −27.9561 | − | 0.832223i | −1.23791 | − | 0.0368514i | ||||
\(511\) | −12.1424 | + | 15.1581i | −0.537149 | + | 0.670555i | ||||
\(512\) | −17.0351 | − | 17.0351i | −0.752851 | − | 0.752851i | ||||
\(513\) | −18.5811 | − | 4.52808i | −0.820374 | − | 0.199920i | ||||
\(514\) | −6.90434 | + | 11.9587i | −0.304537 | + | 0.527474i | ||||
\(515\) | −4.57206 | + | 7.27723i | −0.201469 | + | 0.320673i | ||||
\(516\) | 1.66212 | + | 0.942881i | 0.0731707 | + | 0.0415080i | ||||
\(517\) | 0.141750 | + | 0.529017i | 0.00623415 | + | 0.0232662i | ||||
\(518\) | 16.7314 | + | 22.7742i | 0.735136 | + | 1.00064i | ||||
\(519\) | −32.8862 | − | 18.6556i | −1.44355 | − | 0.818890i | ||||
\(520\) | −14.3254 | − | 4.41800i | −0.628211 | − | 0.193742i | ||||
\(521\) | 0.885586 | + | 0.511293i | 0.0387982 | + | 0.0224002i | 0.519274 | − | 0.854608i | \(-0.326203\pi\) |
−0.480475 | + | 0.877008i | \(0.659536\pi\) | |||||||
\(522\) | 3.87301 | + | 3.75720i | 0.169517 | + | 0.164448i | ||||
\(523\) | 2.35369 | − | 8.78408i | 0.102920 | − | 0.384101i | −0.895181 | − | 0.445702i | \(-0.852954\pi\) |
0.998101 | + | 0.0616011i | \(0.0196207\pi\) | |||||||
\(524\) | 0.874683 | + | 1.51500i | 0.0382107 | + | 0.0661829i | ||||
\(525\) | 21.8574 | − | 6.87417i | 0.953935 | − | 0.300014i | ||||
\(526\) | −5.46445 | + | 9.46471i | −0.238261 | + | 0.412681i | ||||
\(527\) | −3.84304 | − | 3.84304i | −0.167406 | − | 0.167406i | ||||
\(528\) | −1.64005 | + | 0.452818i | −0.0713742 | + | 0.0197064i | ||||
\(529\) | 6.12562i | 0.266331i | ||||||||
\(530\) | 13.9837 | − | 12.9763i | 0.607414 | − | 0.563656i | ||||
\(531\) | −10.5819 | + | 6.32548i | −0.459214 | + | 0.274502i | ||||
\(532\) | 0.974240 | − | 0.107617i | 0.0422387 | − | 0.00466578i | ||||
\(533\) | −13.0485 | − | 3.49634i | −0.565193 | − | 0.151443i | ||||
\(534\) | −0.114707 | − | 15.1160i | −0.00496387 | − | 0.654131i | ||||
\(535\) | 8.62536 | + | 0.322294i | 0.372907 | + | 0.0139340i | ||||
\(536\) | −1.45449 | − | 2.51925i | −0.0628244 | − | 0.108815i | ||||
\(537\) | −1.01692 | − | 3.68317i | −0.0438833 | − | 0.158940i | ||||
\(538\) | 4.81409 | − | 17.9664i | 0.207550 | − | 0.774588i | ||||
\(539\) | 0.542547 | − | 1.73200i | 0.0233691 | − | 0.0746026i | ||||
\(540\) | 1.16938 | + | 0.0170548i | 0.0503221 | + | 0.000733923i | ||||
\(541\) | −3.50184 | − | 6.06537i | −0.150556 | − | 0.260771i | 0.780876 | − | 0.624686i | \(-0.214773\pi\) |
−0.931432 | + | 0.363915i | \(0.881440\pi\) | |||||||
\(542\) | −9.81502 | + | 9.81502i | −0.421591 | + | 0.421591i | ||||
\(543\) | −10.6172 | + | 10.7795i | −0.455626 | + | 0.462594i | ||||
\(544\) | 2.98065 | 0.127794 | ||||||||
\(545\) | 9.11573 | − | 29.5579i | 0.390475 | − | 1.26612i | ||||
\(546\) | −13.5853 | + | 5.41674i | −0.581396 | + | 0.231815i | ||||
\(547\) | 2.38131 | − | 8.88717i | 0.101817 | − | 0.379988i | −0.896147 | − | 0.443757i | \(-0.853645\pi\) |
0.997965 | + | 0.0637689i | \(0.0203121\pi\) | |||||||
\(548\) | 0.289227 | + | 0.0774981i | 0.0123552 | + | 0.00331055i | ||||
\(549\) | −16.8484 | + | 30.2327i | −0.719071 | + | 1.29030i | ||||
\(550\) | 1.35414 | − | 1.16557i | 0.0577406 | − | 0.0497002i | ||||
\(551\) | −4.16002 | − | 2.40179i | −0.177223 | − | 0.102320i | ||||
\(552\) | 14.4542 | − | 14.6753i | 0.615214 | − | 0.624622i | ||||
\(553\) | −40.7012 | + | 4.49594i | −1.73079 | + | 0.191187i | ||||
\(554\) | −10.2767 | − | 5.93323i | −0.436613 | − | 0.252079i | ||||
\(555\) | −20.5839 | − | 21.8470i | −0.873739 | − | 0.927355i | ||||
\(556\) | − | 0.439436i | − | 0.0186362i | ||||||
\(557\) | 21.1365 | − | 5.66350i | 0.895580 | − | 0.239970i | 0.218463 | − | 0.975845i | \(-0.429896\pi\) |
0.677117 | + | 0.735875i | \(0.263229\pi\) | |||||||
\(558\) | −3.07801 | − | 2.98597i | −0.130302 | − | 0.126406i | ||||
\(559\) | 25.3831 | 1.07359 | ||||||||
\(560\) | 21.1714 | − | 7.35756i | 0.894654 | − | 0.310914i | ||||
\(561\) | 1.16110 | − | 2.04679i | 0.0490216 | − | 0.0864157i | ||||
\(562\) | 16.0288 | + | 16.0288i | 0.676136 | + | 0.676136i | ||||
\(563\) | 6.46500 | − | 24.1277i | 0.272467 | − | 1.01686i | −0.685052 | − | 0.728494i | \(-0.740221\pi\) |
0.957520 | − | 0.288368i | \(-0.0931127\pi\) | |||||||
\(564\) | −0.00279440 | − | 0.368241i | −0.000117665 | − | 0.0155058i | ||||
\(565\) | −38.4237 | + | 20.3101i | −1.61650 | + | 0.854451i | ||||
\(566\) | − | 4.18414i | − | 0.175872i | ||||||
\(567\) | 18.7530 | − | 14.6739i | 0.787553 | − | 0.616247i | ||||
\(568\) | 24.4738 | − | 24.4738i | 1.02690 | − | 1.02690i | ||||
\(569\) | −28.0964 | − | 16.2215i | −1.17786 | − | 0.680039i | −0.222344 | − | 0.974968i | \(-0.571371\pi\) |
−0.955519 | + | 0.294929i | \(0.904704\pi\) | |||||||
\(570\) | 19.1190 | − | 4.51773i | 0.800807 | − | 0.189227i | ||||
\(571\) | −0.613952 | − | 1.06340i | −0.0256931 | − | 0.0445017i | 0.852893 | − | 0.522086i | \(-0.174846\pi\) |
−0.878586 | + | 0.477584i | \(0.841513\pi\) | |||||||
\(572\) | 0.0427357 | − | 0.0427357i | 0.00178687 | − | 0.00178687i | ||||
\(573\) | −21.8450 | + | 6.03140i | −0.912590 | + | 0.251965i | ||||
\(574\) | 19.8169 | − | 7.72765i | 0.827140 | − | 0.322546i | ||||
\(575\) | −6.78168 | + | 19.3873i | −0.282816 | + | 0.808507i | ||||
\(576\) | 25.0803 | − | 0.380666i | 1.04501 | − | 0.0158611i | ||||
\(577\) | −0.951225 | − | 3.55002i | −0.0396000 | − | 0.147789i | 0.943295 | − | 0.331955i | \(-0.107708\pi\) |
−0.982895 | + | 0.184166i | \(0.941042\pi\) | |||||||
\(578\) | 10.1897 | − | 10.1897i | 0.423837 | − | 0.423837i | ||||
\(579\) | 17.2207 | + | 29.3113i | 0.715670 | + | 1.21814i | ||||
\(580\) | 0.280698 | + | 0.0865680i | 0.0116553 | + | 0.00359454i | ||||
\(581\) | 14.1748 | + | 36.3500i | 0.588070 | + | 1.50805i | ||||
\(582\) | −1.22310 | − | 1.20467i | −0.0506989 | − | 0.0499353i | ||||
\(583\) | 0.415427 | + | 1.55039i | 0.0172052 | + | 0.0642107i | ||||
\(584\) | 10.6259 | − | 18.4047i | 0.439704 | − | 0.761590i | ||||
\(585\) | 13.6223 | − | 7.46714i | 0.563212 | − | 0.308728i | ||||
\(586\) | −9.22497 | + | 5.32604i | −0.381080 | + | 0.220017i | ||||
\(587\) | −29.5276 | − | 7.91189i | −1.21873 | − | 0.326559i | −0.408551 | − | 0.912736i | \(-0.633966\pi\) |
−0.810183 | + | 0.586177i | \(0.800632\pi\) | |||||||
\(588\) | −0.645947 | + | 1.03541i | −0.0266384 | + | 0.0426995i | ||||
\(589\) | 3.30610 | + | 1.90878i | 0.136226 | + | 0.0786498i | ||||
\(590\) | 6.73708 | − | 10.7232i | 0.277361 | − | 0.441468i | ||||
\(591\) | −0.250516 | − | 33.0126i | −0.0103048 | − | 1.35796i | ||||
\(592\) | −20.7622 | − | 20.7622i | −0.853322 | − | 0.853322i | ||||
\(593\) | −2.49760 | + | 9.32116i | −0.102564 | + | 0.382774i | −0.998057 | − | 0.0623006i | \(-0.980156\pi\) |
0.895493 | + | 0.445075i | \(0.146823\pi\) | |||||||
\(594\) | 0.891545 | − | 1.62873i | 0.0365805 | − | 0.0668278i | ||||
\(595\) | −13.5097 | + | 27.9008i | −0.553844 | + | 1.14382i | ||||
\(596\) | −0.773827 | − | 1.34031i | −0.0316972 | − | 0.0549011i | ||||
\(597\) | −6.42444 | + | 1.77378i | −0.262935 | + | 0.0725960i | ||||
\(598\) | 3.39318 | − | 12.6635i | 0.138757 | − | 0.517850i | ||||
\(599\) | −22.9766 | + | 13.2656i | −0.938800 | + | 0.542016i | −0.889584 | − | 0.456772i | \(-0.849006\pi\) |
−0.0492159 | + | 0.998788i | \(0.515672\pi\) | |||||||
\(600\) | −22.5047 | + | 11.0517i | −0.918749 | + | 0.451184i | ||||
\(601\) | 37.0964 | − | 21.4176i | 1.51319 | − | 0.873643i | 0.513313 | − | 0.858201i | \(-0.328418\pi\) |
0.999881 | − | 0.0154416i | \(-0.00491541\pi\) | |||||||
\(602\) | −32.2091 | + | 23.6629i | −1.31274 | + | 0.964429i | ||||
\(603\) | 2.92322 | + | 0.735914i | 0.119043 | + | 0.0299687i | ||||
\(604\) | −1.10724 | + | 0.639266i | −0.0450530 | + | 0.0260114i | ||||
\(605\) | −5.44107 | − | 23.8332i | −0.221211 | − | 0.968958i | ||||
\(606\) | −0.245431 | + | 0.432648i | −0.00996995 | + | 0.0175751i | ||||
\(607\) | −30.8642 | + | 30.8642i | −1.25274 | + | 1.25274i | −0.298250 | + | 0.954488i | \(0.596403\pi\) |
−0.954488 | + | 0.298250i | \(0.903597\pi\) | |||||||
\(608\) | −2.02232 | + | 0.541879i | −0.0820159 | + | 0.0219761i | ||||
\(609\) | 5.55547 | − | 2.21509i | 0.225119 | − | 0.0897598i | ||||
\(610\) | 1.32753 | − | 35.5280i | 0.0537503 | − | 1.43849i | ||||
\(611\) | −2.44576 | − | 4.23619i | −0.0989450 | − | 0.171378i | ||||
\(612\) | −1.10172 | + | 1.13567i | −0.0445342 | + | 0.0459069i | ||||
\(613\) | 12.3013 | + | 45.9091i | 0.496845 | + | 1.85425i | 0.519443 | + | 0.854505i | \(0.326140\pi\) |
−0.0225980 | + | 0.999745i | \(0.507194\pi\) | |||||||
\(614\) | 14.6355 | − | 25.3495i | 0.590641 | − | 1.02302i | ||||
\(615\) | −19.8933 | + | 10.7091i | −0.802176 | + | 0.431834i | ||||
\(616\) | −0.300287 | + | 1.96318i | −0.0120989 | + | 0.0790987i | ||||
\(617\) | 35.0083 | − | 9.38045i | 1.40938 | − | 0.377643i | 0.527678 | − | 0.849445i | \(-0.323063\pi\) |
0.881705 | + | 0.471802i | \(0.156396\pi\) | |||||||
\(618\) | −2.44174 | − | 8.84371i | −0.0982213 | − | 0.355746i | ||||
\(619\) | 3.51176 | 0.141150 | 0.0705748 | − | 0.997506i | \(-0.477517\pi\) | ||||
0.0705748 | + | 0.997506i | \(0.477517\pi\) | |||||||
\(620\) | −0.223080 | − | 0.0687984i | −0.00895909 | − | 0.00276301i | ||||
\(621\) | 0.485877 | + | 21.3394i | 0.0194976 | + | 0.856323i | ||||
\(622\) | 14.7316 | − | 14.7316i | 0.590684 | − | 0.590684i | ||||
\(623\) | −15.3420 | − | 6.73355i | −0.614664 | − | 0.269774i | ||||
\(624\) | 13.1021 | − | 7.69764i | 0.524503 | − | 0.308152i | ||||
\(625\) | 15.5832 | − | 19.5490i | 0.623329 | − | 0.781960i | ||||
\(626\) | 11.1308 | − | 6.42635i | 0.444875 | − | 0.256849i | ||||
\(627\) | −0.415680 | + | 1.59980i | −0.0166007 | + | 0.0638900i | ||||
\(628\) | −0.568886 | + | 0.152433i | −0.0227010 | + | 0.00608273i | ||||
\(629\) | 40.6102 | 1.61923 | ||||||||
\(630\) | −10.3244 | + | 22.1743i | −0.411336 | + | 0.883445i | ||||
\(631\) | −5.04974 | −0.201027 | −0.100513 | − | 0.994936i | \(-0.532049\pi\) | ||||
−0.100513 | + | 0.994936i | \(0.532049\pi\) | |||||||
\(632\) | 43.2805 | − | 11.5970i | 1.72160 | − | 0.461303i | ||||
\(633\) | 7.05296 | − | 1.94732i | 0.280330 | − | 0.0773988i | ||||
\(634\) | −22.0445 | + | 12.7274i | −0.875497 | + | 0.505468i | ||||
\(635\) | −15.9763 | + | 25.4290i | −0.633999 | + | 1.00912i | ||||
\(636\) | −0.00818955 | − | 1.07921i | −0.000324737 | − | 0.0427933i | ||||
\(637\) | −0.676863 | + | 16.1962i | −0.0268183 | + | 0.641718i | ||||
\(638\) | 0.329771 | − | 0.329771i | 0.0130557 | − | 0.0130557i | ||||
\(639\) | 0.544305 | + | 35.8618i | 0.0215324 | + | 1.41867i | ||||
\(640\) | −20.5305 | + | 10.8521i | −0.811541 | + | 0.428965i | ||||
\(641\) | 0.464492 | 0.0183463 | 0.00917317 | − | 0.999958i | \(-0.497080\pi\) | ||||
0.00917317 | + | 0.999958i | \(0.497080\pi\) | |||||||
\(642\) | −6.46580 | + | 6.56468i | −0.255185 | + | 0.259087i | ||||
\(643\) | 16.1803 | − | 4.33549i | 0.638087 | − | 0.170975i | 0.0747505 | − | 0.997202i | \(-0.476184\pi\) |
0.563337 | + | 0.826227i | \(0.309517\pi\) | |||||||
\(644\) | −0.397440 | − | 1.01920i | −0.0156613 | − | 0.0401621i | ||||
\(645\) | 30.8979 | − | 29.1114i | 1.21660 | − | 1.14626i | ||||
\(646\) | −13.2895 | + | 23.0181i | −0.522868 | + | 0.905634i | ||||
\(647\) | 5.21745 | + | 19.4718i | 0.205119 | + | 0.765515i | 0.989413 | + | 0.145126i | \(0.0463586\pi\) |
−0.784294 | + | 0.620389i | \(0.786975\pi\) | |||||||
\(648\) | −17.8564 | + | 18.9747i | −0.701465 | + | 0.745395i | ||||
\(649\) | 0.532757 | + | 0.922762i | 0.0209125 | + | 0.0362216i | ||||
\(650\) | −8.98786 | + | 13.1857i | −0.352533 | + | 0.517185i | ||||
\(651\) | −4.41511 | + | 1.76040i | −0.173042 | + | 0.0689955i | ||||
\(652\) | 1.23271 | − | 0.330305i | 0.0482768 | − | 0.0129357i | ||||
\(653\) | −11.5156 | + | 11.5156i | −0.450642 | + | 0.450642i | −0.895568 | − | 0.444926i | \(-0.853230\pi\) |
0.444926 | + | 0.895568i | \(0.353230\pi\) | |||||||
\(654\) | 16.7266 | + | 28.4702i | 0.654063 | + | 1.11327i | ||||
\(655\) | 37.8877 | − | 8.64967i | 1.48040 | − | 0.337971i | ||||
\(656\) | −19.1393 | + | 11.0501i | −0.747266 | + | 0.431434i | ||||
\(657\) | 6.02195 | + | 21.1829i | 0.234939 | + | 0.826424i | ||||
\(658\) | 7.05258 | + | 3.09536i | 0.274938 | + | 0.120670i | ||||
\(659\) | −6.34444 | + | 3.66296i | −0.247144 | + | 0.142689i | −0.618456 | − | 0.785820i | \(-0.712241\pi\) |
0.371312 | + | 0.928508i | \(0.378908\pi\) | |||||||
\(660\) | 0.00300765 | − | 0.101033i | 0.000117073 | − | 0.00393271i | ||||
\(661\) | 9.93147 | − | 5.73394i | 0.386289 | − | 0.223024i | −0.294262 | − | 0.955725i | \(-0.595074\pi\) |
0.680551 | + | 0.732701i | \(0.261740\pi\) | |||||||
\(662\) | 2.13802 | − | 7.97918i | 0.0830963 | − | 0.310120i | ||||
\(663\) | −5.28546 | + | 20.3418i | −0.205270 | + | 0.790010i | ||||
\(664\) | −21.3462 | − | 36.9727i | −0.828393 | − | 1.43482i | ||||
\(665\) | 4.09376 | − | 21.3863i | 0.158749 | − | 0.829325i | ||||
\(666\) | 32.0397 | − | 0.486293i | 1.24151 | − | 0.0188435i | ||||
\(667\) | −1.38758 | + | 5.17853i | −0.0537274 | + | 0.200513i | ||||
\(668\) | 1.26034 | + | 1.26034i | 0.0487641 | + | 0.0487641i | ||||
\(669\) | 33.2115 | − | 19.5122i | 1.28403 | − | 0.754384i | ||||
\(670\) | −3.01883 | + | 0.689191i | −0.116628 | + | 0.0266258i | ||||
\(671\) | 2.59056 | + | 1.49566i | 0.100007 | + | 0.0577393i | ||||
\(672\) | 1.02949 | − | 2.39485i | 0.0397135 | − | 0.0923833i | ||||
\(673\) | −21.2878 | − | 5.70404i | −0.820584 | − | 0.219875i | −0.175982 | − | 0.984393i | \(-0.556310\pi\) |
−0.644602 | + | 0.764519i | \(0.722977\pi\) | |||||||
\(674\) | 25.1828 | − | 14.5393i | 0.970007 | − | 0.560034i | ||||
\(675\) | 8.01792 | − | 24.7126i | 0.308610 | − | 0.951189i | ||||
\(676\) | 0.384362 | − | 0.665735i | 0.0147832 | − | 0.0256052i | ||||
\(677\) | 9.36369 | + | 34.9458i | 0.359876 | + | 1.34307i | 0.874236 | + | 0.485500i | \(0.161363\pi\) |
−0.514361 | + | 0.857574i | \(0.671971\pi\) | |||||||
\(678\) | 11.6677 | − | 44.9049i | 0.448097 | − | 1.72456i | ||||
\(679\) | −1.77277 | + | 0.691298i | −0.0680328 | + | 0.0265296i | ||||
\(680\) | 9.99658 | − | 32.4140i | 0.383351 | − | 1.24302i | ||||
\(681\) | 38.3024 | − | 0.290658i | 1.46775 | − | 0.0111380i | ||||
\(682\) | −0.262079 | + | 0.262079i | −0.0100355 | + | 0.0100355i | ||||
\(683\) | −2.26635 | − | 8.45814i | −0.0867195 | − | 0.323642i | 0.908915 | − | 0.416982i | \(-0.136912\pi\) |
−0.995634 | + | 0.0933404i | \(0.970246\pi\) | |||||||
\(684\) | 0.541031 | − | 0.970827i | 0.0206868 | − | 0.0371205i | ||||
\(685\) | 3.53873 | − | 5.63250i | 0.135208 | − | 0.215207i | ||||
\(686\) | −14.2397 | − | 21.1827i | −0.543676 | − | 0.808758i | ||||
\(687\) | 6.18317 | + | 6.09003i | 0.235903 | + | 0.232349i | ||||
\(688\) | 29.3636 | − | 29.3636i | 1.11948 | − | 1.11948i | ||||
\(689\) | −7.16781 | − | 12.4150i | −0.273072 | − | 0.472974i | ||||
\(690\) | −10.3932 | − | 19.3064i | −0.395662 | − | 0.734981i | ||||
\(691\) | −9.26291 | − | 5.34794i | −0.352378 | − | 0.203445i | 0.313354 | − | 0.949636i | \(-0.398547\pi\) |
−0.665732 | + | 0.746191i | \(0.731881\pi\) | |||||||
\(692\) | 1.55366 | − | 1.55366i | 0.0590614 | − | 0.0590614i | ||||
\(693\) | −1.24350 | − | 1.63985i | −0.0472365 | − | 0.0622927i | ||||
\(694\) | 8.58336i | 0.325820i | ||||||||
\(695\) | −9.32860 | − | 2.87697i | −0.353854 | − | 0.109130i | ||||
\(696\) | −5.64257 | + | 3.31508i | −0.213881 | + | 0.125658i | ||||
\(697\) | 7.91114 | − | 29.5248i | 0.299656 | − | 1.11833i | ||||
\(698\) | −16.9622 | − | 16.9622i | −0.642031 | − | 0.642031i | ||||
\(699\) | 22.0824 | + | 37.5862i | 0.835232 | + | 1.42164i | ||||
\(700\) | 0.0470190 | + | 1.33071i | 0.00177715 | + | 0.0502960i | ||||
\(701\) | −13.4460 | −0.507848 | −0.253924 | − | 0.967224i | \(-0.581721\pi\) | ||||
−0.253924 | + | 0.967224i | \(0.581721\pi\) | |||||||
\(702\) | −3.92641 | + | 16.1121i | −0.148193 | + | 0.608111i | ||||
\(703\) | −27.5533 | + | 7.38290i | −1.03919 | + | 0.278451i | ||||
\(704\) | − | 2.16790i | − | 0.0817056i | ||||||
\(705\) | −7.83554 | − | 2.35154i | −0.295103 | − | 0.0885641i | ||||
\(706\) | 0.530778 | + | 0.306445i | 0.0199761 | + | 0.0115332i | ||||
\(707\) | 0.326416 | + | 0.444305i | 0.0122761 | + | 0.0167098i | ||||
\(708\) | −0.190673 | − | 0.690598i | −0.00716595 | − | 0.0259543i | ||||
\(709\) | −12.0328 | − | 6.94715i | −0.451902 | − | 0.260906i | 0.256731 | − | 0.966483i | \(-0.417354\pi\) |
−0.708633 | + | 0.705577i | \(0.750688\pi\) | |||||||
\(710\) | −17.2170 | − | 32.5720i | −0.646141 | − | 1.22241i | ||||
\(711\) | −22.6028 | + | 40.5586i | −0.847672 | + | 1.52106i | ||||
\(712\) | 17.7087 | + | 4.74502i | 0.663660 | + | 0.177827i | ||||
\(713\) | 1.10276 | − | 4.11554i | 0.0412986 | − | 0.154128i | ||||
\(714\) | −12.2564 | − | 30.7393i | −0.458686 | − | 1.15039i | ||||
\(715\) | −0.627429 | − | 1.18701i | −0.0234645 | − | 0.0443915i | ||||
\(716\) | 0.222049 | 0.00829834 | ||||||||
\(717\) | −1.41368 | − | 5.12018i | −0.0527948 | − | 0.191217i | ||||
\(718\) | −6.44545 | + | 6.44545i | −0.240542 | + | 0.240542i | ||||
\(719\) | −14.3592 | − | 24.8708i | −0.535506 | − | 0.927524i | −0.999139 | − | 0.0414962i | \(-0.986788\pi\) |
0.463633 | − | 0.886028i | \(-0.346546\pi\) | |||||||
\(720\) | 7.12036 | − | 24.3966i | 0.265360 | − | 0.909207i | ||||
\(721\) | −10.0520 | − | 1.53755i | −0.374356 | − | 0.0572613i | ||||
\(722\) | −1.94519 | + | 7.25954i | −0.0723924 | + | 0.270172i | ||||
\(723\) | 25.2647 | − | 25.6511i | 0.939605 | − | 0.953975i | ||||
\(724\) | −0.439631 | − | 0.761463i | −0.0163388 | − | 0.0282996i | ||||
\(725\) | 3.67543 | − | 5.39206i | 0.136502 | − | 0.200256i | ||||
\(726\) | 22.6991 | + | 12.8767i | 0.842444 | + | 0.477899i | ||||
\(727\) | 6.27347 | + | 1.68097i | 0.232670 | + | 0.0623438i | 0.373270 | − | 0.927723i | \(-0.378236\pi\) |
−0.140600 | + | 0.990066i | \(0.544903\pi\) | |||||||
\(728\) | −1.94751 | − | 17.6306i | −0.0721796 | − | 0.653433i | ||||
\(729\) | −1.22889 | − | 26.9720i | −0.0455143 | − | 0.998964i | ||||
\(730\) | −15.3876 | − | 16.5822i | −0.569520 | − | 0.613734i | ||||
\(731\) | 57.4342i | 2.12428i | ||||||||
\(732\) | −1.43297 | − | 1.41139i | −0.0529641 | − | 0.0521664i | ||||
\(733\) | −19.4353 | − | 19.4353i | −0.717861 | − | 0.717861i | 0.250306 | − | 0.968167i | \(-0.419469\pi\) |
−0.968167 | + | 0.250306i | \(0.919469\pi\) | |||||||
\(734\) | −20.7727 | + | 35.9794i | −0.766736 | + | 1.32803i | ||||
\(735\) | 17.7512 | + | 20.4913i | 0.654764 | + | 0.755833i | ||||
\(736\) | 1.16835 | + | 2.02365i | 0.0430660 | + | 0.0745926i | ||||
\(737\) | 0.0674305 | − | 0.251654i | 0.00248384 | − | 0.00926980i | ||||
\(738\) | 5.88799 | − | 23.3885i | 0.216740 | − | 0.860942i | ||||
\(739\) | −24.7020 | − | 14.2617i | −0.908679 | − | 0.524626i | −0.0286729 | − | 0.999589i | \(-0.509128\pi\) |
−0.880006 | + | 0.474963i | \(0.842461\pi\) | |||||||
\(740\) | 1.54217 | − | 0.815161i | 0.0566912 | − | 0.0299659i | ||||
\(741\) | −0.112025 | − | 14.7625i | −0.00411533 | − | 0.542313i | ||||
\(742\) | 20.6690 | + | 9.07157i | 0.758783 | + | 0.333028i | ||||
\(743\) | 5.77016 | + | 21.5345i | 0.211687 | + | 0.790025i | 0.987307 | + | 0.158825i | \(0.0507707\pi\) |
−0.775620 | + | 0.631200i | \(0.782563\pi\) | |||||||
\(744\) | 4.48433 | − | 2.63460i | 0.164404 | − | 0.0965893i | ||||
\(745\) | −33.5190 | + | 7.65232i | −1.22804 | + | 0.280359i | ||||
\(746\) | 22.8925 | − | 39.6510i | 0.838155 | − | 1.45173i | ||||
\(747\) | 42.9014 | + | 10.8003i | 1.56968 | + | 0.395163i | ||||
\(748\) | 0.0966978 | + | 0.0966978i | 0.00353562 | + | 0.00353562i | ||||
\(749\) | 3.71038 | + | 9.51494i | 0.135574 | + | 0.347668i | ||||
\(750\) | 4.18186 | + | 26.3584i | 0.152700 | + | 0.962474i | ||||
\(751\) | −15.9207 | −0.580953 | −0.290477 | − | 0.956882i | \(-0.593814\pi\) | ||||
−0.290477 | + | 0.956882i | \(0.593814\pi\) | |||||||
\(752\) | −7.72979 | − | 2.07119i | −0.281876 | − | 0.0755286i | ||||
\(753\) | 27.7294 | − | 28.1535i | 1.01052 | − | 1.02597i | ||||
\(754\) | −2.08265 | + | 3.60725i | −0.0758455 | + | 0.131368i | ||||
\(755\) | 6.32165 | + | 27.6904i | 0.230068 | + | 1.00776i | ||||
\(756\) | 0.531952 | + | 1.27744i | 0.0193469 | + | 0.0464602i | ||||
\(757\) | 15.6132 | + | 15.6132i | 0.567471 | + | 0.567471i | 0.931419 | − | 0.363948i | \(-0.118572\pi\) |
−0.363948 | + | 0.931419i | \(0.618572\pi\) | |||||||
\(758\) | 1.01627 | + | 3.79276i | 0.0369125 | + | 0.137759i | ||||
\(759\) | 1.84475 | − | 0.0139989i | 0.0669603 | − | 0.000508128i | ||||
\(760\) | −0.889672 | + | 23.8097i | −0.0322718 | + | 0.863670i | ||||
\(761\) | − | 26.0803i | − | 0.945412i | −0.881220 | − | 0.472706i | \(-0.843277\pi\) | ||
0.881220 | − | 0.472706i | \(-0.156723\pi\) | |||||||
\(762\) | −8.53224 | − | 30.9028i | −0.309090 | − | 1.11949i | ||||
\(763\) | 36.3775 | − | 4.01834i | 1.31695 | − | 0.145474i | ||||
\(764\) | − | 1.31698i | − | 0.0476467i | ||||||
\(765\) | 16.8959 | + | 30.8231i | 0.610871 | + | 1.11441i | ||||
\(766\) | 37.1032 | + | 21.4216i | 1.34059 | + | 0.773992i | ||||
\(767\) | −6.72918 | − | 6.72918i | −0.242977 | − | 0.242977i | ||||
\(768\) | −1.04953 | + | 4.03924i | −0.0378715 | + | 0.145754i | ||||
\(769\) | −1.24982 | + | 2.16475i | −0.0450695 | + | 0.0780627i | −0.887680 | − | 0.460461i | \(-0.847684\pi\) |
0.842611 | + | 0.538523i | \(0.181018\pi\) | |||||||
\(770\) | 1.90272 | + | 0.921305i | 0.0685693 | + | 0.0332015i | ||||
\(771\) | 17.3539 | − | 0.131690i | 0.624987 | − | 0.00474271i | ||||
\(772\) | −1.90828 | + | 0.511321i | −0.0686804 | + | 0.0184029i | ||||
\(773\) | 6.56432 | − | 1.75890i | 0.236102 | − | 0.0632634i | −0.138828 | − | 0.990317i | \(-0.544333\pi\) |
0.374930 | + | 0.927053i | \(0.377667\pi\) | |||||||
\(774\) | 0.687755 | + | 45.3131i | 0.0247208 | + | 1.62874i | ||||
\(775\) | −2.92098 | + | 4.28524i | −0.104925 | + | 0.153930i | ||||
\(776\) | 1.80314 | − | 1.04104i | 0.0647289 | − | 0.0373713i | ||||
\(777\) | 14.0264 | − | 32.6289i | 0.503195 | − | 1.17056i | ||||
\(778\) | 11.0417 | + | 41.2082i | 0.395864 | + | 1.47739i | ||||
\(779\) | 21.4703i | 0.769254i | ||||||||
\(780\) | 0.207602 | + | 0.878571i | 0.00743335 | + | 0.0314579i | ||||
\(781\) | 3.09982 | 0.110920 | ||||||||
\(782\) | 28.6537 | + | 7.67773i | 1.02465 | + | 0.274555i | ||||
\(783\) | 1.60564 | − | 6.58876i | 0.0573808 | − | 0.235463i | ||||
\(784\) | 17.9530 | + | 19.5191i | 0.641180 | + | 0.697109i | ||||
\(785\) | −0.488545 | + | 13.0746i | −0.0174369 | + | 0.466653i | ||||
\(786\) | −20.4701 | + | 36.0849i | −0.730145 | + | 1.28711i | ||||
\(787\) | 15.0418 | + | 4.03045i | 0.536184 | + | 0.143670i | 0.516742 | − | 0.856141i | \(-0.327145\pi\) |
0.0194415 | + | 0.999811i | \(0.493811\pi\) | |||||||
\(788\) | 1.85315 | + | 0.496550i | 0.0660157 | + | 0.0176888i | ||||
\(789\) | 13.7348 | − | 0.104226i | 0.488972 | − | 0.00371056i | ||||
\(790\) | 1.78095 | − | 47.6623i | 0.0633632 | − | 1.69575i | ||||
\(791\) | −40.1349 | − | 32.1501i | −1.42703 | − | 1.14313i | ||||
\(792\) | 1.61633 | + | 1.56800i | 0.0574340 | + | 0.0557166i | ||||
\(793\) | −25.8062 | − | 6.91476i | −0.916407 | − | 0.245550i | ||||
\(794\) | 36.5809 | 1.29821 | ||||||||
\(795\) | −22.9636 | − | 6.89166i | −0.814436 | − | 0.244422i | ||||
\(796\) | − | 0.387313i | − | 0.0137279i | ||||||
\(797\) | 1.54239 | + | 5.75626i | 0.0546341 | + | 0.203897i | 0.987848 | − | 0.155425i | \(-0.0496746\pi\) |
−0.933214 | + | 0.359322i | \(0.883008\pi\) | |||||||
\(798\) | 13.9042 | + | 18.6279i | 0.492202 | + | 0.659421i | ||||
\(799\) | 9.58520 | − | 5.53402i | 0.339100 | − | 0.195779i | ||||
\(800\) | −0.529057 | − | 2.79456i | −0.0187050 | − | 0.0988026i | ||||
\(801\) | −16.3067 | + | 9.74757i | −0.576167 | + | 0.344413i | ||||
\(802\) | −11.7226 | + | 3.14106i | −0.413939 | + | 0.110915i | ||||
\(803\) | 1.83849 | − | 0.492621i | 0.0648788 | − | 0.0173842i | ||||
\(804\) | −0.0864352 | + | 0.152369i | −0.00304834 | + | 0.00537363i | ||||
\(805\) | −24.2382 | + | 1.76444i | −0.854284 | + | 0.0621883i | ||||
\(806\) | 1.65515 | − | 2.86680i | 0.0583000 | − | 0.100979i | ||||
\(807\) | −22.5333 | + | 6.22141i | −0.793209 | + | 0.219004i | ||||
\(808\) | −0.426576 | − | 0.426576i | −0.0150069 | − | 0.0150069i | ||||
\(809\) | −7.57041 | − | 4.37078i | −0.266161 | − | 0.153668i | 0.360981 | − | 0.932573i | \(-0.382442\pi\) |
−0.627142 | + | 0.778905i | \(0.715775\pi\) | |||||||
\(810\) | 13.6992 | + | 24.1157i | 0.481340 | + | 0.847339i | ||||
\(811\) | 45.3232i | 1.59151i | 0.605617 | + | 0.795757i | \(0.292927\pi\) | ||||
−0.605617 | + | 0.795757i | \(0.707073\pi\) | |||||||
\(812\) | 0.0381604 | + | 0.345461i | 0.00133917 | + | 0.0121233i | ||||
\(813\) | 16.8841 | + | 4.38704i | 0.592151 | + | 0.153860i | ||||
\(814\) | − | 2.76945i | − | 0.0970690i | ||||||
\(815\) | 1.05862 | − | 28.3313i | 0.0370819 | − | 0.992401i | ||||
\(816\) | 17.4174 | + | 29.6460i | 0.609732 | + | 1.03782i | ||||
\(817\) | −10.4415 | − | 38.9682i | −0.365301 | − | 1.36332i | ||||
\(818\) | 14.8669 | + | 14.8669i | 0.519810 | + | 0.519810i | ||||
\(819\) | 14.5184 | + | 11.2726i | 0.507314 | + | 0.393896i | ||||
\(820\) | −0.292220 | − | 1.28000i | −0.0102048 | − | 0.0446995i | ||||
\(821\) | −19.6912 | + | 34.1062i | −0.687228 | + | 1.19031i | 0.285503 | + | 0.958378i | \(0.407839\pi\) |
−0.972731 | + | 0.231936i | \(0.925494\pi\) | |||||||
\(822\) | 1.88988 | + | 6.84494i | 0.0659172 | + | 0.238745i | ||||
\(823\) | −16.2807 | − | 4.36240i | −0.567510 | − | 0.152064i | −0.0363555 | − | 0.999339i | \(-0.511575\pi\) |
−0.531154 | + | 0.847275i | \(0.678242\pi\) | |||||||
\(824\) | 11.1271 | 0.387630 | ||||||||
\(825\) | −2.12510 | − | 0.725308i | −0.0739865 | − | 0.0252520i | ||||
\(826\) | 14.8119 | + | 2.26563i | 0.515373 | + | 0.0788313i | ||||
\(827\) | 3.57234 | + | 3.57234i | 0.124222 | + | 0.124222i | 0.766485 | − | 0.642262i | \(-0.222004\pi\) |
−0.642262 | + | 0.766485i | \(0.722004\pi\) | |||||||
\(828\) | −1.20289 | − | 0.302825i | −0.0418034 | − | 0.0105239i | ||||
\(829\) | 23.9683 | − | 41.5144i | 0.832455 | − | 1.44185i | −0.0636314 | − | 0.997973i | \(-0.520268\pi\) |
0.896086 | − | 0.443880i | \(-0.146398\pi\) | |||||||
\(830\) | −44.3045 | + | 10.1146i | −1.53783 | + | 0.351083i | ||||
\(831\) | 0.113168 | + | 14.9131i | 0.00392574 | + | 0.517329i | ||||
\(832\) | 5.01133 | + | 18.7025i | 0.173737 | + | 0.648394i | ||||
\(833\) | −36.6471 | − | 1.53153i | −1.26975 | − | 0.0530645i | ||||
\(834\) | 8.98534 | − | 5.27900i | 0.311137 | − | 0.182797i | ||||
\(835\) | 35.0066 | − | 18.5039i | 1.21146 | − | 0.640352i | ||||
\(836\) | −0.0831874 | − | 0.0480283i | −0.00287710 | − | 0.00166109i | ||||
\(837\) | −1.27605 | + | 5.23630i | −0.0441068 | + | 0.180993i | ||||
\(838\) | 1.40923 | − | 5.25934i | 0.0486812 | − | 0.181681i | ||||
\(839\) | −0.252625 | − | 0.437560i | −0.00872159 | − | 0.0151062i | 0.861632 | − | 0.507534i | \(-0.169443\pi\) |
−0.870353 | + | 0.492428i | \(0.836110\pi\) | |||||||
\(840\) | −22.5908 | − | 19.2274i | −0.779458 | − | 0.663410i | ||||
\(841\) | −13.6483 | + | 23.6396i | −0.470632 | + | 0.815159i | ||||
\(842\) | 8.05271 | + | 8.05271i | 0.277515 | + | 0.277515i | ||||
\(843\) | 7.16445 | − | 27.5733i | 0.246757 | − | 0.949676i | ||||
\(844\) | 0.425205i | 0.0146362i | ||||||||
\(845\) | −11.6162 | − | 12.5180i | −0.399609 | − | 0.430632i | ||||
\(846\) | 7.49603 | − | 4.48087i | 0.257719 | − | 0.154056i | ||||
\(847\) | 23.3108 | − | 17.1256i | 0.800967 | − | 0.588443i | ||||
\(848\) | −22.6537 | − | 6.07005i | −0.777932 | − | 0.208446i | ||||
\(849\) | −4.53394 | + | 2.66375i | −0.155604 | + | 0.0914196i | ||||
\(850\) | −29.8352 | − | 20.3368i | −1.02334 | − | 0.697546i | ||||
\(851\) | 15.9184 | + | 27.5714i | 0.545675 | + | 0.945136i | ||||
\(852\) | −2.01729 | − | 0.524158i | −0.0691114 | − | 0.0179574i | ||||
\(853\) | 3.59160 | − | 13.4040i | 0.122974 | − | 0.458945i | −0.876785 | − | 0.480882i | \(-0.840317\pi\) |
0.999759 | + | 0.0219369i | \(0.00698328\pi\) | |||||||
\(854\) | 39.1922 | − | 15.2831i | 1.34113 | − | 0.522977i | ||||
\(855\) | −17.0672 | − | 17.8413i | −0.583685 | − | 0.610159i | ||||
\(856\) | −5.58756 | − | 9.67793i | −0.190979 | − | 0.330785i | ||||
\(857\) | −28.5504 | + | 28.5504i | −0.975262 | + | 0.975262i | −0.999701 | − | 0.0244389i | \(-0.992220\pi\) |
0.0244389 | + | 0.999701i | \(0.492220\pi\) | |||||||
\(858\) | 1.38723 | + | 0.360446i | 0.0473591 | + | 0.0123054i | ||||
\(859\) | −19.9695 | −0.681349 | −0.340675 | − | 0.940181i | \(-0.610655\pi\) | ||||
−0.340675 | + | 0.940181i | \(0.610655\pi\) | |||||||
\(860\) | 1.15287 | + | 2.18106i | 0.0393124 | + | 0.0743734i | ||||
\(861\) | −20.9897 | − | 16.5539i | −0.715328 | − | 0.564157i | ||||
\(862\) | −10.2709 | + | 38.3316i | −0.349829 | + | 1.30558i | ||||
\(863\) | 12.5312 | + | 3.35773i | 0.426567 | + | 0.114298i | 0.465714 | − | 0.884935i | \(-0.345797\pi\) |
−0.0391471 | + | 0.999233i | \(0.512464\pi\) | |||||||
\(864\) | −1.53577 | − | 2.52547i | −0.0522481 | − | 0.0859184i | ||||
\(865\) | −22.8103 | − | 43.1538i | −0.775573 | − | 1.46727i | ||||
\(866\) | −36.9057 | − | 21.3075i | −1.25411 | − | 0.724058i | ||||
\(867\) | −17.5287 | − | 4.55453i | −0.595306 | − | 0.154680i | ||||
\(868\) | −0.0303273 | − | 0.274549i | −0.00102937 | − | 0.00931880i | ||||
\(869\) | 3.47535 | + | 2.00649i | 0.117893 | + | 0.0680656i | ||||
\(870\) | 1.60197 | + | 6.77951i | 0.0543118 | + | 0.229847i | ||||
\(871\) | 2.32691i | 0.0788442i | ||||||||
\(872\) | −38.6828 | + | 10.3650i | −1.30996 | + | 0.351004i | ||||
\(873\) | −0.526726 | + | 2.09228i | −0.0178270 | + | 0.0708129i | ||||
\(874\) | −20.8368 | −0.704817 | ||||||||
\(875\) | 28.5569 | + | 7.71394i | 0.965399 | + | 0.260779i | ||||
\(876\) | −1.27974 | + | 0.00971133i | −0.0432386 | + | 0.000328115i | ||||
\(877\) | −0.00695055 | − | 0.00695055i | −0.000234704 | − | 0.000234704i | 0.706989 | − | 0.707224i | \(-0.250053\pi\) |
−0.707224 | + | 0.706989i | \(0.750053\pi\) | |||||||
\(878\) | −13.8551 | + | 51.7081i | −0.467588 | + | 1.74506i | ||||
\(879\) | 11.6442 | + | 6.60548i | 0.392749 | + | 0.222797i | ||||
\(880\) | −2.09897 | − | 0.647328i | −0.0707562 | − | 0.0218214i | ||||
\(881\) | 4.53219i | 0.152693i | 0.997081 | + | 0.0763466i | \(0.0243256\pi\) | ||||
−0.997081 | + | 0.0763466i | \(0.975674\pi\) | |||||||
\(882\) | −28.9313 | − | 0.769476i | −0.974167 | − | 0.0259096i | ||||
\(883\) | −8.97475 | + | 8.97475i | −0.302024 | + | 0.302024i | −0.841805 | − | 0.539781i | \(-0.818507\pi\) |
0.539781 | + | 0.841805i | \(0.318507\pi\) | |||||||
\(884\) | −1.05774 | − | 0.610689i | −0.0355758 | − | 0.0205397i | ||||
\(885\) | −15.9087 | − | 0.473587i | −0.534767 | − | 0.0159194i | ||||
\(886\) | 2.41255 | + | 4.17866i | 0.0810511 | + | 0.140385i | ||||
\(887\) | 14.0360 | − | 14.0360i | 0.471281 | − | 0.471281i | −0.431048 | − | 0.902329i | \(-0.641856\pi\) |
0.902329 | + | 0.431048i | \(0.141856\pi\) | |||||||
\(888\) | −9.77324 | + | 37.6136i | −0.327968 | + | 1.26223i | ||||
\(889\) | −35.1249 | − | 5.37270i | −1.17805 | − | 0.180194i | ||||
\(890\) | 10.3818 | − | 16.5245i | 0.348000 | − | 0.553903i | ||||
\(891\) | −2.33248 | + | 0.0708205i | −0.0781412 | + | 0.00237258i | ||||
\(892\) | 0.579358 | + | 2.16219i | 0.0193984 | + | 0.0723956i | ||||
\(893\) | −5.49732 | + | 5.49732i | −0.183961 | + | 0.183961i | ||||
\(894\) | 18.1098 | − | 31.9241i | 0.605682 | − | 1.06770i | ||||
\(895\) | 1.45374 | − | 4.71378i | 0.0485932 | − | 0.157564i | ||||
\(896\) | −21.4448 | − | 17.1784i | −0.716421 | − | 0.573891i | ||||
\(897\) | −15.8824 | + | 4.38512i | −0.530298 | + | 0.146415i | ||||
\(898\) | −0.471064 | − | 1.75803i | −0.0157196 | − | 0.0586664i | ||||
\(899\) | −0.676844 | + | 1.17233i | −0.0225740 | + | 0.0390993i | ||||
\(900\) | 1.26032 | + | 0.831354i | 0.0420108 | + | 0.0277118i | ||||
\(901\) | 28.0914 | − | 16.2186i | 0.935859 | − | 0.540319i | ||||
\(902\) | −2.01347 | − | 0.539507i | −0.0670411 | − | 0.0179636i | ||||
\(903\) | 46.1465 | + | 19.8373i | 1.53566 | + | 0.660144i | ||||
\(904\) | 48.7309 | + | 28.1348i | 1.62077 | + | 0.935750i | ||||
\(905\) | −19.0430 | + | 4.34748i | −0.633012 | + | 0.144515i | ||||
\(906\) | −26.3728 | − | 14.9607i | −0.876177 | − | 0.497035i | ||||
\(907\) | −7.06417 | − | 7.06417i | −0.234562 | − | 0.234562i | 0.580032 | − | 0.814594i | \(-0.303040\pi\) |
−0.814594 | + | 0.580032i | \(0.803040\pi\) | |||||||
\(908\) | −0.576115 | + | 2.15009i | −0.0191191 | + | 0.0713533i | ||||
\(909\) | 0.625067 | − | 0.00948717i | 0.0207322 | − | 0.000314670i | ||||
\(910\) | −18.5446 | − | 3.54979i | −0.614746 | − | 0.117674i | ||||
\(911\) | 16.8443 | + | 29.1751i | 0.558076 | + | 0.966615i | 0.997657 | + | 0.0684125i | \(0.0217934\pi\) |
−0.439582 | + | 0.898203i | \(0.644873\pi\) | |||||||
\(912\) | −17.2070 | − | 16.9479i | −0.569782 | − | 0.561200i | ||||
\(913\) | 0.989615 | − | 3.69329i | 0.0327515 | − | 0.122230i | ||||
\(914\) | 13.9259 | − | 8.04012i | 0.460628 | − | 0.265944i | ||||
\(915\) | −39.3433 | + | 21.1797i | −1.30065 | + | 0.700178i | ||||
\(916\) | −0.436777 | + | 0.252174i | −0.0144315 | + | 0.00833205i | ||||
\(917\) | 27.2246 | + | 37.0572i | 0.899037 | + | 1.22374i | ||||
\(918\) | −36.4567 | − | 8.88426i | −1.20325 | − | 0.293224i | ||||
\(919\) | −16.4930 | + | 9.52221i | −0.544052 | + | 0.314109i | −0.746720 | − | 0.665139i | \(-0.768372\pi\) |
0.202667 | + | 0.979248i | \(0.435039\pi\) | |||||||
\(920\) | 25.9252 | − | 5.91867i | 0.854730 | − | 0.195133i | ||||
\(921\) | −36.7861 | + | 0.279151i | −1.21214 | + | 0.00919835i | ||||
\(922\) | 13.9441 | − | 13.9441i | 0.459224 | − | 0.459224i | ||||
\(923\) | −26.7423 | + | 7.16558i | −0.880234 | + | 0.235858i | ||||
\(924\) | 0.111092 | − | 0.0442948i | 0.00365466 | − | 0.00145719i | ||||
\(925\) | −7.20820 | − | 38.0748i | −0.237004 | − | 1.25189i | ||||
\(926\) | −29.5213 | − | 51.1324i | −0.970130 | − | 1.68031i | ||||
\(927\) | −8.02858 | + | 8.27605i | −0.263693 | + | 0.271821i | ||||
\(928\) | −0.192148 | − | 0.717105i | −0.00630755 | − | 0.0235401i | ||||
\(929\) | 6.76769 | − | 11.7220i | 0.222041 | − | 0.384586i | −0.733387 | − | 0.679812i | \(-0.762062\pi\) |
0.955427 | + | 0.295226i | \(0.0953949\pi\) | |||||||
\(930\) | −1.27313 | − | 5.38789i | −0.0417477 | − | 0.176676i | ||||
\(931\) | 25.1429 | − | 5.62329i | 0.824025 | − | 0.184296i | ||||
\(932\) | −2.44701 | + | 0.655673i | −0.0801544 | + | 0.0214773i | ||||
\(933\) | −25.3418 | − | 6.58462i | −0.829654 | − | 0.215571i | ||||
\(934\) | −8.96727 | −0.293418 | ||||||||
\(935\) | 2.68583 | − | 1.41968i | 0.0878361 | − | 0.0464285i | ||||
\(936\) | −17.5688 | − | 9.79090i | −0.574254 | − | 0.320026i | ||||
\(937\) | 41.4550 | − | 41.4550i | 1.35428 | − | 1.35428i | 0.473464 | − | 0.880813i | \(-0.343004\pi\) |
0.880813 | − | 0.473464i | \(-0.156996\pi\) | |||||||
\(938\) | −2.16921 | − | 2.95265i | −0.0708273 | − | 0.0964075i | ||||
\(939\) | −14.0498 | − | 7.97011i | −0.458497 | − | 0.260095i | ||||
\(940\) | 0.252913 | − | 0.402555i | 0.00824913 | − | 0.0131299i | ||||
\(941\) | −8.13108 | + | 4.69448i | −0.265066 | + | 0.153036i | −0.626643 | − | 0.779306i | \(-0.715572\pi\) |
0.361578 | + | 0.932342i | \(0.382238\pi\) | |||||||
\(942\) | −9.95097 | − | 9.80108i | −0.324220 | − | 0.319336i | ||||
\(943\) | 23.1462 | − | 6.20201i | 0.753744 | − | 0.201965i | ||||
\(944\) | −15.5689 | −0.506723 | ||||||||
\(945\) | 30.6010 | − | 2.92923i | 0.995450 | − | 0.0952879i | ||||
\(946\) | 3.91677 | 0.127345 | ||||||||
\(947\) | 14.7865 | − | 3.96203i | 0.480497 | − | 0.128749i | −0.0104370 | − | 0.999946i | \(-0.503322\pi\) |
0.490934 | + | 0.871197i | \(0.336656\pi\) | |||||||
\(948\) | −1.92239 | − | 1.89344i | −0.0624365 | − | 0.0614960i | ||||
\(949\) | −14.7220 | + | 8.49973i | −0.477895 | + | 0.275913i | ||||
\(950\) | 23.9399 | + | 8.37416i | 0.776712 | + | 0.271694i | ||||
\(951\) | 27.8256 | + | 15.7848i | 0.902306 | + | 0.511857i | ||||
\(952\) | 39.8926 | − | 4.40663i | 1.29293 | − | 0.142820i | ||||
\(953\) | −18.5010 | + | 18.5010i | −0.599306 | + | 0.599306i | −0.940128 | − | 0.340822i | \(-0.889295\pi\) |
0.340822 | + | 0.940128i | \(0.389295\pi\) | |||||||
\(954\) | 21.9686 | − | 13.1321i | 0.711261 | − | 0.425168i | ||||
\(955\) | −27.9577 | − | 8.62222i | −0.904688 | − | 0.279009i | ||||
\(956\) | 0.308683 | 0.00998351 | ||||||||
\(957\) | −0.567282 | − | 0.147398i | −0.0183376 | − | 0.00476471i | ||||
\(958\) | −33.8071 | + | 9.05857i | −1.09226 | + | 0.292669i | ||||
\(959\) | 7.78013 | + | 1.19005i | 0.251234 | + | 0.0384286i | ||||
\(960\) | 27.5497 | + | 17.0184i | 0.889163 | + | 0.549268i | ||||
\(961\) | −14.9621 | + | 25.9151i | −0.482648 | + | 0.835971i | ||||
\(962\) | 6.40188 | + | 23.8921i | 0.206405 | + | 0.770313i | ||||
\(963\) | 11.2298 | + | 2.82708i | 0.361876 | + | 0.0911014i | ||||
\(964\) | 1.04615 | + | 1.81199i | 0.0336943 | + | 0.0583602i | ||||
\(965\) | −1.63878 | + | 43.8576i | −0.0527542 | + | 1.41183i | ||||
\(966\) | 16.0655 | − | 20.3704i | 0.516900 | − | 0.655408i | ||||
\(967\) | −27.2779 | + | 7.30909i | −0.877198 | + | 0.235045i | −0.669198 | − | 0.743084i | \(-0.733362\pi\) |
−0.208000 | + | 0.978129i | \(0.566696\pi\) | |||||||
\(968\) | −22.3806 | + | 22.3806i | −0.719340 | + | 0.719340i | ||||
\(969\) | 33.4029 | − | 0.253478i | 1.07306 | − | 0.00814288i | ||||
\(970\) | −0.493285 | − | 2.16071i | −0.0158384 | − | 0.0693762i | ||||
\(971\) | −5.42391 | + | 3.13150i | −0.174062 | + | 0.100494i | −0.584500 | − | 0.811394i | \(-0.698709\pi\) |
0.410438 | + | 0.911888i | \(0.365376\pi\) | |||||||
\(972\) | 1.52990 | + | 0.348318i | 0.0490717 | + | 0.0111723i | ||||
\(973\) | −1.26821 | − | 11.4809i | −0.0406568 | − | 0.368061i | ||||
\(974\) | −48.2352 | + | 27.8486i | −1.54555 | + | 0.892327i | ||||
\(975\) | 20.0100 | + | 1.34486i | 0.640832 | + | 0.0430701i | ||||
\(976\) | −37.8522 | + | 21.8540i | −1.21162 | + | 0.699529i | ||||
\(977\) | −14.4824 | + | 54.0492i | −0.463334 | + | 1.72919i | 0.199019 | + | 0.979996i | \(0.436224\pi\) |
−0.662354 | + | 0.749191i | \(0.730442\pi\) | |||||||
\(978\) | 21.5627 | + | 21.2379i | 0.689498 | + | 0.679112i | ||||
\(979\) | 0.820978 | + | 1.42198i | 0.0262386 | + | 0.0454466i | ||||
\(980\) | −1.42241 | + | 0.677450i | −0.0454373 | + | 0.0216404i | ||||
\(981\) | 20.2017 | − | 36.2500i | 0.644992 | − | 1.15737i | ||||
\(982\) | −2.22618 | + | 8.30822i | −0.0710403 | + | 0.265126i | ||||
\(983\) | −22.2989 | − | 22.2989i | −0.711225 | − | 0.711225i | 0.255566 | − | 0.966791i | \(-0.417738\pi\) |
−0.966791 | + | 0.255566i | \(0.917738\pi\) | |||||||
\(984\) | 25.4423 | + | 14.4328i | 0.811071 | + | 0.460101i | ||||
\(985\) | 22.6735 | − | 36.0888i | 0.722438 | − | 1.14989i | ||||
\(986\) | −8.16210 | − | 4.71239i | −0.259934 | − | 0.150073i | ||||
\(987\) | −1.13575 | − | 9.61279i | −0.0361512 | − | 0.305978i | ||||
\(988\) | 0.828684 | + | 0.222045i | 0.0263640 | + | 0.00706420i | ||||
\(989\) | −38.9937 | + | 22.5130i | −1.23993 | + | 0.715873i | ||||
\(990\) | 2.10200 | − | 1.15223i | 0.0668060 | − | 0.0366202i | ||||
\(991\) | 2.85314 | − | 4.94179i | 0.0906330 | − | 0.156981i | −0.817145 | − | 0.576433i | \(-0.804444\pi\) |
0.907778 | + | 0.419452i | \(0.137778\pi\) | |||||||
\(992\) | 0.152706 | + | 0.569906i | 0.00484841 | + | 0.0180945i | ||||
\(993\) | −10.0074 | + | 2.76303i | −0.317575 | + | 0.0876821i | ||||
\(994\) | 27.2538 | − | 34.0225i | 0.864439 | − | 1.07913i | ||||
\(995\) | −8.22210 | − | 2.53572i | −0.260658 | − | 0.0803877i | ||||
\(996\) | −1.26853 | + | 2.23617i | −0.0401949 | + | 0.0708559i | ||||
\(997\) | 17.5248 | − | 17.5248i | 0.555017 | − | 0.555017i | −0.372868 | − | 0.927884i | \(-0.621625\pi\) |
0.927884 | + | 0.372868i | \(0.121625\pi\) | |||||||
\(998\) | 2.56816 | + | 9.58450i | 0.0812936 | + | 0.303392i | ||||
\(999\) | −20.9244 | − | 34.4086i | −0.662017 | − | 1.08864i |
(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 | 315.2.cg.e.157.12 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.29 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.29 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.29 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.12 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.29 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.12 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.12 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.29 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.12 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.29 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.12 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.29 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.12 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.29 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.12 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.29 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.29 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.29 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.29 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.12 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.29 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.29 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.12 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.12 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.12 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.12 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.12 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.29 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.12 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.12 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.29 | 160 | 3.2 | odd | 2 |