Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(9,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.s (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: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 9.12 | ||
Character | \(\chi\) | \(=\) | 460.9 |
Dual form | 460.2.s.a.409.12 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{11}\right)\) |
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 | 0 | ||||||||
\(3\) | 2.47974 | − | 2.14871i | 1.43168 | − | 1.24056i | 0.505844 | − | 0.862625i | \(-0.331181\pi\) |
0.925834 | − | 0.377931i | \(-0.123364\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.11264 | − | 0.732624i | −0.944803 | − | 0.327639i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.253328 | + | 0.115691i | 0.0957490 | + | 0.0437271i | 0.462714 | − | 0.886508i | \(-0.346876\pi\) |
−0.366965 | + | 0.930235i | \(0.619603\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.10522 | − | 7.68699i | 0.368408 | − | 2.56233i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −5.59496 | − | 1.64283i | −1.68694 | − | 0.495331i | −0.709177 | − | 0.705030i | \(-0.750933\pi\) |
−0.977766 | + | 0.209699i | \(0.932751\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.41158 | − | 0.644649i | 0.391503 | − | 0.178793i | −0.209930 | − | 0.977716i | \(-0.567324\pi\) |
0.601434 | + | 0.798923i | \(0.294596\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −6.81300 | + | 2.72273i | −1.75911 | + | 0.703007i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.71260 | + | 2.66486i | −0.415368 | + | 0.646324i | −0.984391 | − | 0.175997i | \(-0.943685\pi\) |
0.569023 | + | 0.822321i | \(0.307321\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.72284 | − | 3.67784i | 1.31291 | − | 0.843755i | 0.318354 | − | 0.947972i | \(-0.396870\pi\) |
0.994555 | + | 0.104217i | \(0.0332336\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.876774 | − | 0.257444i | 0.191328 | − | 0.0561789i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.03867 | + | 2.58633i | 0.842122 | + | 0.539287i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.92652 | + | 3.09555i | 0.785305 | + | 0.619109i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −8.45463 | − | 13.1557i | −1.62709 | − | 2.53181i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.04474 | + | 2.59939i | 0.751089 | + | 0.482695i | 0.859325 | − | 0.511430i | \(-0.170884\pi\) |
−0.108236 | + | 0.994125i | \(0.534520\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.92298 | − | 4.52737i | 0.704589 | − | 0.813139i | −0.284776 | − | 0.958594i | \(-0.591919\pi\) |
0.989365 | + | 0.145455i | \(0.0464647\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −17.4040 | + | 7.94813i | −3.02964 | + | 1.38359i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.450434 | − | 0.430008i | −0.0761372 | − | 0.0726847i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.00986 | + | 0.720309i | 0.823616 | + | 0.118418i | 0.541221 | − | 0.840880i | \(-0.317962\pi\) |
0.282395 | + | 0.959298i | \(0.408871\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.11520 | − | 4.63164i | 0.338703 | − | 0.741656i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.607234 | + | 4.22340i | 0.0948339 | + | 0.659585i | 0.980682 | + | 0.195609i | \(0.0626684\pi\) |
−0.885848 | + | 0.463976i | \(0.846423\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.03428 | + | 3.49572i | −0.615222 | + | 0.533093i | −0.905771 | − | 0.423767i | \(-0.860707\pi\) |
0.290549 | + | 0.956860i | \(0.406162\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −7.96662 | + | 15.4302i | −1.18759 | + | 2.30019i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.97319i | 0.871280i | 0.900121 | + | 0.435640i | \(0.143478\pi\) | ||||
−0.900121 | + | 0.435640i | \(0.856522\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.53323 | − | 5.23163i | −0.647605 | − | 0.747376i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.47920 | + | 10.2880i | 0.207129 | + | 1.44062i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.47049 | + | 0.671549i | 0.201987 | + | 0.0922443i | 0.513840 | − | 0.857886i | \(-0.328222\pi\) |
−0.311853 | + | 0.950130i | \(0.600950\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.6166 | + | 7.56971i | 1.43154 | + | 1.02070i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.28853 | − | 21.4168i | 0.832937 | − | 2.83672i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.88730 | − | 4.13261i | −0.245705 | − | 0.538020i | 0.746092 | − | 0.665843i | \(-0.231928\pi\) |
−0.991797 | + | 0.127824i | \(0.959201\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.33333 | + | 3.84687i | −0.426789 | + | 0.492541i | −0.927893 | − | 0.372846i | \(-0.878382\pi\) |
0.501104 | + | 0.865387i | \(0.332927\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.16930 | − | 1.81947i | 0.147318 | − | 0.229231i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.45446 | + | 0.327753i | −0.428473 | + | 0.0406528i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.08629 | − | 7.10524i | −0.254881 | − | 0.868044i | −0.983157 | − | 0.182761i | \(-0.941497\pi\) |
0.728277 | − | 0.685283i | \(-0.240321\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 15.5721 | − | 2.26450i | 1.87466 | − | 0.272614i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.68696 | − | 1.37622i | 0.556240 | − | 0.163327i | 0.00848251 | − | 0.999964i | \(-0.497300\pi\) |
0.547757 | + | 0.836637i | \(0.315482\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.687576 | − | 1.06989i | −0.0804747 | − | 0.125221i | 0.798683 | − | 0.601752i | \(-0.205530\pi\) |
−0.879158 | + | 0.476531i | \(0.841894\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 16.3882 | − | 0.760800i | 1.89234 | − | 0.0878496i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.22730 | − | 1.06346i | −0.139864 | − | 0.121193i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.95425 | + | 6.46890i | 0.332379 | + | 0.727808i | 0.999859 | − | 0.0168199i | \(-0.00535421\pi\) |
−0.667480 | + | 0.744628i | \(0.732627\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −26.8785 | − | 7.89225i | −2.98650 | − | 0.876916i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 17.2709 | + | 2.48318i | 1.89573 | + | 0.272564i | 0.988860 | − | 0.148851i | \(-0.0475574\pi\) |
0.906868 | + | 0.421415i | \(0.138466\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.57047 | − | 4.37521i | 0.604202 | − | 0.474558i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 15.6152 | − | 2.24513i | 1.67413 | − | 0.240703i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −8.86092 | − | 10.2260i | −0.939256 | − | 1.08396i | −0.996331 | − | 0.0855889i | \(-0.972723\pi\) |
0.0570749 | − | 0.998370i | \(-0.481823\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.432174 | 0.0453042 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | − | 19.6560i | − | 2.03823i | ||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −14.7848 | + | 3.57729i | −1.51689 | + | 0.367022i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.30296 | − | 0.474893i | 0.335364 | − | 0.0482181i | 0.0274243 | − | 0.999624i | \(-0.491269\pi\) |
0.307940 | + | 0.951406i | \(0.400360\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −18.8121 | + | 41.1927i | −1.89068 | + | 4.14002i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.00808 | + | 7.01132i | −0.100307 | + | 0.697652i | 0.876165 | + | 0.482011i | \(0.160093\pi\) |
−0.976473 | + | 0.215642i | \(0.930816\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.79139 | + | 12.9123i | −0.373577 | + | 1.27229i | 0.531507 | + | 0.847054i | \(0.321626\pi\) |
−0.905084 | + | 0.425232i | \(0.860192\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.04092 | − | 0.0984580i | −0.199173 | − | 0.00960852i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.302058 | + | 0.261735i | 0.0292011 | + | 0.0253029i | 0.669339 | − | 0.742957i | \(-0.266577\pi\) |
−0.640138 | + | 0.768260i | \(0.721123\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.79798 | − | 3.08348i | −0.459563 | − | 0.295344i | 0.290301 | − | 0.956936i | \(-0.406245\pi\) |
−0.749864 | + | 0.661592i | \(0.769881\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 13.9709 | − | 8.97854i | 1.32606 | − | 0.852205i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.38700 | + | 8.12938i | 0.224550 | + | 0.764747i | 0.992285 | + | 0.123979i | \(0.0395657\pi\) |
−0.767735 | + | 0.640768i | \(0.778616\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.63747 | − | 8.42282i | −0.618947 | − | 0.785432i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.39530 | − | 11.5633i | −0.313895 | − | 1.06903i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.742152 | + | 0.476952i | −0.0680329 | + | 0.0437221i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 19.3509 | + | 12.4360i | 1.75917 | + | 1.13055i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 10.5806 | + | 9.16817i | 0.954023 | + | 0.826666i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −6.02747 | − | 9.41645i | −0.539114 | − | 0.842233i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.46500 | + | 15.2064i | −0.396205 | + | 1.34935i | 0.484130 | + | 0.874996i | \(0.339136\pi\) |
−0.880334 | + | 0.474353i | \(0.842682\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.49268 | + | 17.3370i | −0.219468 | + | 1.52643i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.653039 | − | 1.42996i | 0.0570563 | − | 0.124936i | −0.878956 | − | 0.476902i | \(-0.841760\pi\) |
0.936013 | + | 0.351966i | \(0.114487\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.87525 | − | 0.269620i | 0.162605 | − | 0.0233790i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 8.22346 | + | 33.9873i | 0.707763 | + | 2.92516i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.77720i | 0.579016i | 0.957176 | + | 0.289508i | \(0.0934916\pi\) | ||||
−0.957176 | + | 0.289508i | \(0.906508\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 13.2170 | 1.12105 | 0.560526 | − | 0.828137i | \(-0.310599\pi\) | ||||
0.560526 | + | 0.828137i | \(0.310599\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.8346 | + | 14.8120i | 1.08087 | + | 1.24739i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −8.95680 | + | 1.28779i | −0.749005 | + | 0.107691i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.64071 | − | 8.45486i | −0.551481 | − | 0.702138i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −22.4825 | − | 3.23249i | −1.85432 | − | 0.266611i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −15.6849 | − | 4.60550i | −1.28496 | − | 0.377297i | −0.433230 | − | 0.901283i | \(-0.642626\pi\) |
−0.851727 | + | 0.523986i | \(0.824444\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.98469 | + | 6.53556i | 0.242891 | + | 0.531857i | 0.991338 | − | 0.131338i | \(-0.0419274\pi\) |
−0.748447 | + | 0.663195i | \(0.769200\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 18.5920 | + | 16.1100i | 1.50307 | + | 1.30242i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −11.6047 | + | 6.69064i | −0.932114 | + | 0.537405i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.60896 | − | 7.17168i | −0.367835 | − | 0.572362i | 0.607163 | − | 0.794578i | \(-0.292308\pi\) |
−0.974998 | + | 0.222215i | \(0.928671\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 5.08938 | − | 1.49438i | 0.403614 | − | 0.118512i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.723894 | + | 1.12243i | 0.0570509 | + | 0.0884598i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.83815 | − | 16.4772i | −0.378953 | − | 1.29060i | −0.899559 | − | 0.436798i | \(-0.856112\pi\) |
0.520607 | − | 0.853797i | \(-0.325706\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 42.5914 | − | 4.04100i | 3.31574 | − | 0.314591i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 6.11331 | − | 9.51250i | 0.473062 | − | 0.736100i | −0.519939 | − | 0.854204i | \(-0.674045\pi\) |
0.993001 | + | 0.118104i | \(0.0376816\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.93619 | + | 8.00479i | −0.533553 | + | 0.615753i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −21.9465 | − | 48.0562i | −1.67829 | − | 3.67495i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 3.43430 | − | 11.6961i | 0.261105 | − | 0.889241i | −0.719706 | − | 0.694279i | \(-0.755723\pi\) |
0.980811 | − | 0.194962i | \(-0.0624583\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.636572 | + | 1.23845i | 0.0481203 | + | 0.0936182i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −13.5598 | − | 6.19254i | −1.01921 | − | 0.465460i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 2.02396 | + | 14.0769i | 0.151278 | + | 1.05216i | 0.914082 | + | 0.405529i | \(0.132913\pi\) |
−0.762805 | + | 0.646629i | \(0.776178\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.95257 | + | 2.25338i | 0.145133 | + | 0.167493i | 0.823662 | − | 0.567081i | \(-0.191928\pi\) |
−0.678529 | + | 0.734574i | \(0.737382\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 16.7016i | 1.23462i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −10.0563 | − | 5.19210i | −0.739356 | − | 0.381731i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 13.9599 | − | 12.0963i | 1.02085 | − | 0.884568i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.619803 | − | 4.31082i | −0.0450840 | − | 0.313566i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.83920 | − | 6.21698i | 0.205437 | − | 0.449845i | −0.778667 | − | 0.627438i | \(-0.784104\pi\) |
0.984104 | + | 0.177593i | \(0.0568310\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.1771 | − | 2.03836i | −1.02049 | − | 0.146725i | −0.388297 | − | 0.921534i | \(-0.626937\pi\) |
−0.632195 | + | 0.774810i | \(0.717846\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −7.86191 | + | 8.23536i | −0.563003 | + | 0.589746i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −22.1233 | + | 10.1034i | −1.57622 | + | 0.719836i | −0.995544 | − | 0.0942969i | \(-0.969940\pi\) |
−0.580678 | + | 0.814133i | \(0.697212\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.89945 | + | 9.11645i | −0.559977 | + | 0.646248i | −0.963178 | − | 0.268863i | \(-0.913352\pi\) |
0.403201 | + | 0.915111i | \(0.367897\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −20.4405 | − | 13.1363i | −1.44176 | − | 0.926565i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.723919 | + | 1.12644i | 0.0508091 | + | 0.0790606i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.81130 | − | 9.36742i | 0.126507 | − | 0.654249i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 24.3447 | − | 28.1868i | 1.69208 | − | 1.95912i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −38.0611 | + | 11.1757i | −2.63274 | + | 0.773042i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.61991 | − | 4.25436i | 0.455733 | − | 0.292882i | −0.292563 | − | 0.956246i | \(-0.594508\pi\) |
0.748297 | + | 0.663364i | \(0.230872\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 8.66535 | − | 13.4836i | 0.593740 | − | 0.923878i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 11.0840 | − | 4.42961i | 0.755926 | − | 0.302097i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.51758 | − | 0.693055i | 0.103020 | − | 0.0470476i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.00389 | − | 1.17565i | −0.270558 | − | 0.0794429i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.699583 | + | 4.86571i | −0.0470591 | + | 0.327303i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.85955 | − | 2.21928i | −0.325420 | − | 0.148614i | 0.246005 | − | 0.969268i | \(-0.420882\pi\) |
−0.571425 | + | 0.820654i | \(0.693609\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 28.1351 | − | 26.7619i | 1.87568 | − | 1.78413i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 10.7149 | − | 9.28448i | 0.711170 | − | 0.616233i | −0.222262 | − | 0.974987i | \(-0.571344\pi\) |
0.933432 | + | 0.358754i | \(0.116798\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.61657 | 0.238990 | 0.119495 | − | 0.992835i | \(-0.461873\pi\) | ||||
0.119495 | + | 0.992835i | \(0.461873\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −5.32845 | −0.350586 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −12.5590 | + | 10.8824i | −0.822765 | + | 0.712930i | −0.960723 | − | 0.277508i | \(-0.910491\pi\) |
0.137959 | + | 0.990438i | \(0.455946\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.37611 | − | 12.6192i | 0.285466 | − | 0.823188i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 21.2255 | + | 9.69337i | 1.37875 | + | 0.629652i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.81795 | − | 19.5993i | 0.182278 | − | 1.26777i | −0.669081 | − | 0.743189i | \(-0.733312\pi\) |
0.851359 | − | 0.524583i | \(-0.175779\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.13804 | + | 0.627784i | 0.137723 | + | 0.0404391i | 0.349868 | − | 0.936799i | \(-0.386227\pi\) |
−0.212145 | + | 0.977238i | \(0.568045\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −40.9349 | + | 18.6944i | −2.62598 | + | 1.19924i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 5.74429 | + | 14.3737i | 0.366989 | + | 0.918304i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.70735 | − | 8.88081i | 0.363150 | − | 0.565072i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 48.1629 | − | 30.9524i | 3.05220 | − | 1.96153i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 12.9766 | − | 3.81026i | 0.819073 | − | 0.240501i | 0.154756 | − | 0.987953i | \(-0.450541\pi\) |
0.664317 | + | 0.747451i | \(0.268723\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −18.3473 | − | 21.1053i | −1.15349 | − | 1.32688i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 4.41225 | − | 22.8187i | 0.276306 | − | 1.42896i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 0.440492 | + | 0.685418i | 0.0274771 | + | 0.0427552i | 0.854720 | − | 0.519089i | \(-0.173729\pi\) |
−0.827243 | + | 0.561844i | \(0.810092\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.18581 | + | 0.762071i | 0.0736823 | + | 0.0473528i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 24.4519 | − | 28.2190i | 1.51353 | − | 1.74671i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 19.2184 | − | 8.77675i | 1.18506 | − | 0.541198i | 0.277337 | − | 0.960773i | \(-0.410548\pi\) |
0.907721 | + | 0.419575i | \(0.137821\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.61462 | − | 2.49606i | −0.160615 | − | 0.153332i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −43.9455 | − | 6.31841i | −2.68942 | − | 0.386681i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 6.17597 | − | 13.5235i | 0.376556 | − | 0.824542i | −0.622563 | − | 0.782570i | \(-0.713909\pi\) |
0.999119 | − | 0.0419722i | \(-0.0133641\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.50613 | + | 31.3408i | 0.273728 | + | 1.90382i | 0.408186 | + | 0.912899i | \(0.366162\pi\) |
−0.134458 | + | 0.990919i | \(0.542929\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.07168 | − | 0.928615i | 0.0648610 | − | 0.0562023i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −16.8833 | − | 23.7700i | −1.01810 | − | 1.43339i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 1.00562i | − | 0.0604219i | −0.999544 | − | 0.0302110i | \(-0.990382\pi\) | ||
0.999544 | − | 0.0302110i | \(-0.00961791\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −30.4661 | − | 35.1597i | −1.82396 | − | 2.10496i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.90861 | + | 13.2747i | 0.113858 | + | 0.791900i | 0.964106 | + | 0.265518i | \(0.0855429\pi\) |
−0.850248 | + | 0.526382i | \(0.823548\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.13848 | − | 3.71672i | −0.483782 | − | 0.220936i | 0.158567 | − | 0.987348i | \(-0.449313\pi\) |
−0.642349 | + | 0.766412i | \(0.722040\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −28.9759 | + | 40.6389i | −1.71638 | + | 2.40724i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.334781 | + | 1.14016i | −0.0197615 | + | 0.0673014i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.89357 | + | 6.33603i | 0.170210 | + | 0.372708i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 7.17006 | − | 8.27469i | 0.420316 | − | 0.485071i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −7.35577 | + | 11.4458i | −0.429729 | + | 0.668671i | −0.986828 | − | 0.161775i | \(-0.948278\pi\) |
0.557099 | + | 0.830446i | \(0.311914\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.959542 | + | 10.1134i | 0.0558667 | + | 0.588825i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 25.6908 | + | 87.4948i | 1.49073 | + | 5.07697i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 7.36821 | + | 1.04730i | 0.426114 | + | 0.0605667i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.42642 | + | 0.418835i | −0.0822175 | + | 0.0241412i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 12.5655 | + | 19.5523i | 0.721869 | + | 1.12325i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.86045 | − | 5.68499i | 0.564608 | − | 0.325521i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 23.0744 | + | 19.9940i | 1.31692 | + | 1.14112i | 0.979870 | + | 0.199635i | \(0.0639756\pi\) |
0.337053 | + | 0.941486i | \(0.390570\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 18.3431 | + | 40.1657i | 1.04350 | + | 2.28495i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −27.2678 | − | 8.00654i | −1.54621 | − | 0.454009i | −0.606247 | − | 0.795276i | \(-0.707326\pi\) |
−0.939966 | + | 0.341267i | \(0.889144\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.90156 | − | 0.992295i | −0.390099 | − | 0.0560878i | −0.0555254 | − | 0.998457i | \(-0.517683\pi\) |
−0.334574 | + | 0.942369i | \(0.608592\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −3.80330 | + | 2.98723i | −0.214292 | + | 0.168311i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −26.1434 | + | 3.75886i | −1.46836 | + | 0.211119i | −0.829631 | − | 0.558312i | \(-0.811449\pi\) |
−0.638731 | + | 0.769430i | \(0.720540\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −18.3598 | − | 21.1883i | −1.02795 | − | 1.18632i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.31142 | 0.0731962 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 21.5493i | 1.19903i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.53816 | + | 1.83839i | 0.418142 | + | 0.101976i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −18.5232 | + | 2.66324i | −1.02434 | + | 0.147277i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.691045 | + | 1.51318i | −0.0380986 | + | 0.0834242i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.15416 | + | 14.9825i | −0.118403 | + | 0.823513i | 0.840911 | + | 0.541173i | \(0.182020\pi\) |
−0.959314 | + | 0.282340i | \(0.908889\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 11.0740 | − | 37.7147i | 0.606853 | − | 2.06675i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.797889 | + | 16.5393i | −0.0435933 | + | 0.903639i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.4883 | − | 14.2872i | −0.898175 | − | 0.778273i | 0.0776150 | − | 0.996983i | \(-0.475270\pi\) |
−0.975790 | + | 0.218711i | \(0.929815\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 23.3868 | + | 15.0298i | 1.27020 | + | 0.816305i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −29.3866 | + | 18.8856i | −1.59137 | + | 1.02271i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.09237 | − | 3.72027i | −0.0589825 | − | 0.200876i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −34.5574 | − | 6.62443i | −1.86051 | − | 0.356647i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −3.75520 | − | 12.7890i | −0.201590 | − | 0.686552i | −0.996780 | − | 0.0801910i | \(-0.974447\pi\) |
0.795190 | − | 0.606361i | \(-0.207371\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.59758 | − | 2.31202i | 0.192574 | − | 0.123760i | −0.440801 | − | 0.897605i | \(-0.645306\pi\) |
0.633375 | + | 0.773845i | \(0.281669\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −20.4152 | − | 13.1201i | −1.08968 | − | 0.700297i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −13.0815 | − | 11.3352i | −0.696260 | − | 0.603313i | 0.233115 | − | 0.972449i | \(-0.425108\pi\) |
−0.929375 | + | 0.369136i | \(0.879654\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −10.9101 | − | 0.526326i | −0.579049 | − | 0.0279345i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.815513 | + | 2.77738i | −0.0431615 | + | 0.146995i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1.01985 | − | 7.09320i | 0.0538255 | − | 0.374365i | −0.945049 | − | 0.326929i | \(-0.893986\pi\) |
0.998874 | − | 0.0474355i | \(-0.0151048\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 11.3314 | − | 24.8124i | 0.596391 | − | 1.30591i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 74.7065 | − | 10.7412i | 3.92107 | − | 0.563765i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.668777 | + | 2.76403i | 0.0350054 | + | 0.144676i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 21.8856i | 1.14242i | 0.820805 | + | 0.571208i | \(0.193525\pi\) | ||||
−0.820805 | + | 0.571208i | \(0.806475\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 33.1364 | 1.72501 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.294823 | + | 0.340244i | 0.0153065 | + | 0.0176646i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.7075 | − | 1.53951i | 0.554414 | − | 0.0797127i | 0.140587 | − | 0.990068i | \(-0.455101\pi\) |
0.413827 | + | 0.910356i | \(0.364192\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −35.1797 | − | 10.3991i | −1.81667 | − | 0.537006i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 7.38518 | + | 1.06183i | 0.380356 | + | 0.0546870i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.47246 | + | 0.725980i | 0.127002 | + | 0.0372911i | 0.344616 | − | 0.938744i | \(-0.388009\pi\) |
−0.217614 | + | 0.976035i | \(0.569827\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 21.6020 | + | 47.3019i | 1.10671 | + | 2.42335i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −21.8827 | − | 18.9615i | −1.11816 | − | 0.968887i | −0.118445 | − | 0.992961i | \(-0.537791\pi\) |
−0.999710 | + | 0.0240737i | \(0.992336\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.81373 | + | 3.14586i | 0.0924362 | + | 0.160328i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 22.4128 | + | 34.8750i | 1.13931 | + | 1.77280i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 7.25482 | − | 2.13021i | 0.367834 | − | 0.108006i | −0.0925914 | − | 0.995704i | \(-0.529515\pi\) |
0.460425 | + | 0.887698i | \(0.347697\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −13.8089 | + | 6.33316i | −0.698345 | + | 0.320282i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.45319 | − | 4.94911i | −0.0733037 | − | 0.249649i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.50200 | − | 15.8308i | −0.0755739 | − | 0.796535i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.85092 | + | 13.7723i | −0.444215 | + | 0.691212i | −0.989091 | − | 0.147304i | \(-0.952940\pi\) |
0.544876 | + | 0.838517i | \(0.316577\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 4.07079 | − | 4.69795i | 0.203795 | − | 0.235191i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.16105 | + | 4.73205i | 0.107918 | + | 0.236307i | 0.955885 | − | 0.293742i | \(-0.0949007\pi\) |
−0.847967 | + | 0.530049i | \(0.822173\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.61906 | − | 8.91971i | 0.130465 | − | 0.444322i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 51.0027 | + | 36.3654i | 2.53434 | + | 1.80701i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −26.8466 | − | 12.2604i | −1.33074 | − | 0.607727i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.34288 | − | 23.2503i | −0.165295 | − | 1.14965i | −0.888453 | − | 0.458968i | \(-0.848219\pi\) |
0.723158 | − | 0.690683i | \(-0.242690\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 14.5622 | + | 16.8057i | 0.718301 | + | 0.828964i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | − | 1.26525i | − | 0.0622588i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −34.6680 | − | 17.8991i | −1.70179 | − | 0.878635i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 32.7747 | − | 28.3995i | 1.60498 | − | 1.39073i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −3.71731 | − | 25.8545i | −0.181603 | − | 1.26307i | −0.852974 | − | 0.521953i | \(-0.825204\pi\) |
0.671372 | − | 0.741121i | \(-0.265706\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.33407 | + | 9.49029i | −0.211230 | + | 0.462528i | −0.985358 | − | 0.170501i | \(-0.945461\pi\) |
0.774128 | + | 0.633029i | \(0.218189\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 45.9159 | + | 6.60171i | 2.23251 | + | 0.320986i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −14.9738 | + | 5.16221i | −0.726336 | + | 0.250404i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.28948 | + | 0.588884i | −0.0624021 | + | 0.0284981i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −19.4434 | + | 22.4389i | −0.938738 | + | 1.08336i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 32.3034 | + | 20.7601i | 1.55600 | + | 0.999980i | 0.983676 | + | 0.179951i | \(0.0575940\pi\) |
0.572323 | + | 0.820028i | \(0.306042\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.01435 | + | 9.35851i | 0.289031 | + | 0.449741i | 0.955158 | − | 0.296097i | \(-0.0956853\pi\) |
−0.666127 | + | 0.745839i | \(0.732049\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −34.6342 | − | 6.69693i | −1.66058 | − | 0.321093i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 32.6248 | − | 0.0524672i | 1.56066 | − | 0.00250985i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 11.2714 | − | 3.30959i | 0.537956 | − | 0.157958i | −0.00145800 | − | 0.999999i | \(-0.500464\pi\) |
0.539414 | + | 0.842041i | \(0.318646\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −45.2257 | + | 29.0648i | −2.15361 | + | 1.38404i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.24589 | + | 1.93864i | −0.0591938 | + | 0.0921073i | −0.869589 | − | 0.493776i | \(-0.835616\pi\) |
0.810395 | + | 0.585884i | \(0.199252\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.2281 | + | 28.0957i | 0.532264 | + | 1.33186i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −48.7903 | + | 22.2818i | −2.30770 | + | 1.05389i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −11.8645 | − | 3.48372i | −0.559918 | − | 0.164407i | −0.0104860 | − | 0.999945i | \(-0.503338\pi\) |
−0.549432 | + | 0.835538i | \(0.685156\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.54088 | − | 24.6273i | 0.166733 | − | 1.15966i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 21.4443 | + | 9.79326i | 1.00754 | + | 0.460128i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.913030 | − | 0.316621i | −0.0428035 | − | 0.0148434i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.3544 | − | 9.83861i | 0.531135 | − | 0.460231i | −0.347531 | − | 0.937669i | \(-0.612980\pi\) |
0.878666 | + | 0.477438i | \(0.158434\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 49.5375 | 2.31221 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −0.718745 | −0.0334753 | −0.0167377 | − | 0.999860i | \(-0.505328\pi\) | ||||
−0.0167377 | + | 0.999860i | \(0.505328\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.43312 | + | 3.84132i | −0.206024 | + | 0.178521i | −0.751761 | − | 0.659436i | \(-0.770795\pi\) |
0.545737 | + | 0.837957i | \(0.316250\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −14.4005 | + | 41.5262i | −0.667806 | + | 1.92573i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 20.0466 | + | 9.15498i | 0.927646 | + | 0.423642i | 0.821177 | − | 0.570674i | \(-0.193318\pi\) |
0.106470 | + | 0.994316i | \(0.466045\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.293498 | − | 2.04132i | 0.0135525 | − | 0.0942595i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −26.8388 | − | 7.88060i | −1.23667 | − | 0.363119i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 28.3145 | − | 12.9308i | 1.30190 | − | 0.594559i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 33.8558 | + | 3.27416i | 1.55341 | + | 0.150229i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 6.78740 | − | 10.5614i | 0.310774 | − | 0.483574i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −5.63822 | + | 3.62346i | −0.257617 | + | 0.165560i | −0.663074 | − | 0.748554i | \(-0.730749\pi\) |
0.405457 | + | 0.914114i | \(0.367112\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.53619 | − | 2.21282i | 0.343621 | − | 0.100896i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 4.20684 | + | 1.22789i | 0.191418 | + | 0.0558711i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.32588 | − | 1.41654i | −0.332651 | − | 0.0643219i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9.45626 | − | 14.7142i | −0.428504 | − | 0.666766i | 0.558123 | − | 0.829758i | \(-0.311522\pi\) |
−0.986627 | + | 0.162993i | \(0.947885\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −47.4020 | − | 30.4634i | −2.14359 | − | 1.37760i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −12.2402 | + | 14.1260i | −0.552395 | + | 0.637497i | −0.961439 | − | 0.275017i | \(-0.911317\pi\) |
0.409045 | + | 0.912514i | \(0.365862\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −13.8541 | + | 6.32694i | −0.623956 | + | 0.284951i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 69.9220 | − | 73.2433i | 3.14276 | − | 3.29204i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.34655 | + | 0.193605i | 0.0604012 | + | 0.00868439i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.767209 | − | 1.67995i | 0.0343450 | − | 0.0752050i | −0.891682 | − | 0.452662i | \(-0.850474\pi\) |
0.926027 | + | 0.377457i | \(0.123202\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.28015 | − | 36.7242i | −0.235900 | − | 1.64072i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −21.1649 | + | 18.3395i | −0.943698 | + | 0.817719i | −0.983392 | − | 0.181493i | \(-0.941907\pi\) |
0.0396945 | + | 0.999212i | \(0.487362\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.26636 | − | 14.0739i | 0.323349 | − | 0.626279i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 34.7536i | 1.54346i | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 26.4140 | + | 30.4833i | 1.17078 | + | 1.35115i | 0.924146 | + | 0.382041i | \(0.124779\pi\) |
0.246632 | + | 0.969109i | \(0.420676\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.0504057 | − | 0.350580i | −0.00222982 | − | 0.0155087i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −96.7689 | − | 44.1929i | −4.27245 | − | 1.95116i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 17.4697 | − | 24.5014i | 0.769807 | − | 1.07966i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.81293 | − | 33.4198i | 0.431572 | − | 1.46980i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −16.6154 | − | 36.3826i | −0.729335 | − | 1.59702i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 7.35414 | − | 8.48713i | 0.322191 | − | 0.371828i | −0.571430 | − | 0.820651i | \(-0.693611\pi\) |
0.893621 | + | 0.448823i | \(0.148157\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.3133 | + | 22.2720i | −0.625879 | + | 0.973886i | 0.373059 | + | 0.927808i | \(0.378309\pi\) |
−0.998938 | + | 0.0460786i | \(0.985328\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.23960 | + | 1.70323i | 0.185031 | + | 0.0743352i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 5.34629 | + | 18.2078i | 0.232888 | + | 0.793145i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.62179 | + | 20.8907i | 0.418339 | + | 0.908291i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −33.8532 | + | 9.94020i | −1.46910 | + | 0.431368i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 3.57977 | + | 5.57024i | 0.155057 | + | 0.241274i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.446388 | − | 0.774248i | −0.0192990 | − | 0.0334737i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 35.2660 | + | 30.5582i | 1.52184 | + | 1.31868i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 16.7686 | + | 36.7181i | 0.722274 | + | 1.58156i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 26.9513 | + | 7.91361i | 1.15873 | + | 0.340233i | 0.803937 | − | 0.594714i | \(-0.202735\pi\) |
0.354788 | + | 0.934947i | \(0.384553\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 9.68371 | + | 1.39231i | 0.415568 | + | 0.0597496i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 7.87740 | + | 10.0294i | 0.337431 | + | 0.429612i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.4782 | − | 1.50653i | 0.448014 | − | 0.0644147i | 0.0853845 | − | 0.996348i | \(-0.472788\pi\) |
0.362630 | + | 0.931933i | \(0.381879\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 25.8868 | + | 29.8749i | 1.10482 | + | 1.27503i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 32.7075 | 1.39339 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.98053i | 0.0842209i | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −36.0934 | + | 8.73305i | −1.53208 | + | 0.370697i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −17.6790 | + | 2.54185i | −0.749082 | + | 0.107702i | −0.506274 | − | 0.862373i | \(-0.668978\pi\) |
−0.242808 | + | 0.970074i | \(0.578068\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.44121 | + | 7.53521i | −0.145548 | + | 0.318705i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.62544 | − | 59.9913i | 0.364166 | − | 2.53283i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 3.27239 | − | 11.1447i | 0.137915 | − | 0.469695i | −0.861351 | − | 0.508011i | \(-0.830381\pi\) |
0.999266 | + | 0.0383158i | \(0.0121993\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.912895 | − | 18.9232i | 0.0384058 | − | 0.796107i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −5.89602 | − | 5.10893i | −0.247610 | − | 0.214555i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −20.4857 | − | 13.1654i | −0.858806 | − | 0.551921i | 0.0355039 | − | 0.999370i | \(-0.488696\pi\) |
−0.894310 | + | 0.447449i | \(0.852333\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 11.6193 | − | 7.46725i | 0.486251 | − | 0.312495i | −0.274445 | − | 0.961603i | \(-0.588494\pi\) |
0.760696 | + | 0.649108i | \(0.224858\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −6.31799 | − | 21.5171i | −0.263938 | − | 0.898890i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 7.85185 | + | 22.6572i | 0.327445 | + | 0.944870i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.57537 | + | 22.3937i | 0.273736 | + | 0.932260i | 0.975528 | + | 0.219877i | \(0.0705657\pi\) |
−0.701791 | + | 0.712383i | \(0.747616\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −39.5354 | + | 25.4079i | −1.64304 | + | 1.05591i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4.08792 | + | 2.62715i | 0.169596 | + | 0.108992i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7.12407 | − | 6.17304i | −0.295049 | − | 0.255661i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.29851 | + | 26.9166i | −0.0536869 | + | 1.11287i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.53359 | + | 15.4400i | −0.187121 | + | 0.637277i | 0.811479 | + | 0.584382i | \(0.198663\pi\) |
−0.998600 | + | 0.0528950i | \(0.983155\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.79966 | − | 40.3375i | 0.238971 | − | 1.66208i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −33.1509 | + | 72.5903i | −1.36364 | + | 2.98597i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 4.66631 | − | 0.670914i | 0.191622 | − | 0.0275511i | −0.0458354 | − | 0.998949i | \(-0.514595\pi\) |
0.237458 | + | 0.971398i | \(0.423686\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.91733 | − | 0.463911i | 0.0786028 | − | 0.0190185i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 39.5800i | 1.61990i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −16.8596 | −0.688865 | −0.344432 | − | 0.938811i | \(-0.611929\pi\) | ||||
−0.344432 | + | 0.938811i | \(0.611929\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18.8072 | + | 21.7046i | 0.767160 | + | 0.885349i | 0.996113 | − | 0.0880880i | \(-0.0280757\pi\) |
−0.228953 | + | 0.973437i | \(0.573530\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −56.9238 | + | 8.18440i | −2.31811 | + | 0.333295i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −31.7705 | − | 40.4498i | −1.29166 | − | 1.64452i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.76602 | − | 1.11658i | −0.315213 | − | 0.0453208i | −0.0171073 | − | 0.999854i | \(-0.505446\pi\) |
−0.298106 | + | 0.954533i | \(0.596355\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 4.21552 | + | 1.23779i | 0.170821 | + | 0.0501577i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.85061 | + | 8.43167i | 0.155779 | + | 0.341109i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −22.1144 | − | 19.1623i | −0.893193 | − | 0.773956i | 0.0816938 | − | 0.996657i | \(-0.473967\pi\) |
−0.974887 | + | 0.222701i | \(0.928513\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −15.6363 | − | 27.1207i | −0.630516 | − | 1.09361i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −3.95727 | − | 6.15763i | −0.159314 | − | 0.247897i | 0.752416 | − | 0.658689i | \(-0.228889\pi\) |
−0.911729 | + | 0.410792i | \(0.865252\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.39420 | + | 0.703001i | −0.0962311 | + | 0.0282560i | −0.329494 | − | 0.944158i | \(-0.606878\pi\) |
0.233263 | + | 0.972414i | \(0.425060\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.120612 | − | 74.9979i | −0.00483998 | − | 3.00956i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.06166 | − | 3.61567i | −0.0425344 | − | 0.144859i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.83519 | + | 24.3095i | 0.233407 | + | 0.972379i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −70.3682 | + | 109.495i | −2.81023 | + | 4.37281i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −10.4994 | + | 12.1170i | −0.418640 | + | 0.483136i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.8649 | + | 30.3599i | 0.551954 | + | 1.20861i | 0.955863 | + | 0.293811i | \(0.0949238\pi\) |
−0.403910 | + | 0.914799i | \(0.632349\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 7.27428 | − | 24.7739i | 0.289127 | − | 0.984675i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 20.5735 | − | 28.8545i | 0.816436 | − | 1.14506i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −9.77161 | − | 4.46254i | −0.387165 | − | 0.176812i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −5.39883 | − | 37.5497i | −0.213574 | − | 1.48544i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −7.92266 | − | 9.14324i | −0.312926 | − | 0.361136i | 0.577398 | − | 0.816463i | \(-0.304068\pi\) |
−0.890325 | + | 0.455326i | \(0.849523\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 21.0550i | 0.830329i | 0.909746 | + | 0.415164i | \(0.136276\pi\) | ||||
−0.909746 | + | 0.415164i | \(0.863724\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 17.9676 | − | 34.8006i | 0.707474 | − | 1.37027i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 17.4257 | − | 15.0995i | 0.685076 | − | 0.593622i | −0.241196 | − | 0.970476i | \(-0.577540\pi\) |
0.926272 | + | 0.376854i | \(0.122994\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.77019 | + | 26.2223i | 0.147993 | + | 1.02931i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.27403 | − | 4.97942i | 0.0891261 | − | 0.195159i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0.810443 | + | 0.116524i | 0.0317151 | + | 0.00455994i | 0.158154 | − | 0.987414i | \(-0.449446\pi\) |
−0.126439 | + | 0.991974i | \(0.540355\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.42726 | + | 2.54255i | −0.0948408 | + | 0.0993458i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −8.98416 | + | 4.10293i | −0.350505 | + | 0.160070i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 30.4079 | − | 35.0926i | 1.18452 | − | 1.36701i | 0.269810 | − | 0.962914i | \(-0.413039\pi\) |
0.914715 | − | 0.404101i | \(-0.132415\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.98598 | − | 1.91897i | −0.116141 | − | 0.0746393i | 0.481281 | − | 0.876567i | \(-0.340172\pi\) |
−0.597422 | + | 0.801927i | \(0.703808\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 8.72019 | + | 13.5689i | 0.338664 | + | 0.526972i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −4.15926 | − | 0.804241i | −0.161289 | − | 0.0311871i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.61248 | + | 20.9591i | 0.372197 | + | 0.811541i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −16.8190 | + | 4.93850i | −0.650260 | + | 0.190934i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 24.9696 | − | 16.0470i | 0.963940 | − | 0.619487i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.79496 | − | 2.79302i | 0.0691908 | − | 0.107663i | −0.804934 | − | 0.593364i | \(-0.797799\pi\) |
0.874125 | + | 0.485701i | \(0.161436\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 7.52664 | − | 77.8277i | 0.289701 | − | 2.99559i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 33.5606 | − | 15.3266i | 1.28984 | − | 0.589049i | 0.351959 | − | 0.936015i | \(-0.385515\pi\) |
0.937878 | + | 0.346966i | \(0.112788\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.891672 | + | 0.261819i | 0.0342192 | + | 0.0100477i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 6.62044 | − | 46.0462i | 0.253696 | − | 1.76449i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 31.3900 | + | 14.3353i | 1.20110 | + | 0.548526i | 0.912561 | − | 0.408941i | \(-0.134102\pi\) |
0.288544 | + | 0.957467i | \(0.406829\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.96514 | − | 14.3178i | 0.189708 | − | 0.547056i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 8.96814 | − | 7.77094i | 0.342156 | − | 0.296480i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2.50863 | 0.0955711 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −50.4793 | −1.92032 | −0.960161 | − | 0.279448i | \(-0.909849\pi\) | ||||
−0.960161 | + | 0.279448i | \(0.909849\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −9.53126 | + | 8.25888i | −0.362062 | + | 0.313729i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −27.9228 | − | 9.68309i | −1.05917 | − | 0.367301i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −12.2947 | − | 5.61482i | −0.465697 | − | 0.212677i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −7.75986 | + | 53.9710i | −0.293505 | + | 2.04137i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 23.1195 | + | 6.78850i | 0.873212 | + | 0.256398i | 0.687481 | − | 0.726202i | \(-0.258716\pi\) |
0.185731 | + | 0.982601i | \(0.440535\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 31.3198 | − | 14.3033i | 1.18125 | − | 0.539458i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −16.2634 | − | 40.6954i | −0.612516 | − | 1.53268i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.06652 | + | 1.65954i | −0.0401107 | + | 0.0624134i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −31.6380 | + | 20.3325i | −1.18819 | + | 0.763602i | −0.976874 | − | 0.213816i | \(-0.931411\pi\) |
−0.211315 | + | 0.977418i | \(0.567774\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 52.9915 | − | 15.5597i | 1.98734 | − | 0.583534i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 27.5529 | − | 8.13842i | 1.03187 | − | 0.304786i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 19.8660 | + | 3.84132i | 0.742946 | + | 0.143657i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −35.1253 | − | 54.6560i | −1.31178 | − | 2.04117i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 28.7807 | + | 18.4962i | 1.07334 | + | 0.689792i | 0.953009 | − | 0.302942i | \(-0.0979688\pi\) |
0.120329 | + | 0.992734i | \(0.461605\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.45430 | + | 2.83242i | −0.0914030 | + | 0.105485i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 6.65070 | − | 3.03727i | 0.247342 | − | 0.112957i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 7.83521 | + | 22.7273i | 0.290992 | + | 0.844069i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −22.1962 | − | 3.19134i | −0.823213 | − | 0.118360i | −0.282180 | − | 0.959362i | \(-0.591058\pi\) |
−0.541033 | + | 0.841001i | \(0.681967\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −26.4279 | + | 57.8689i | −0.978809 | + | 2.14329i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −2.40650 | − | 16.7376i | −0.0890078 | − | 0.619063i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −27.4605 | + | 23.7947i | −1.01428 | + | 0.878877i | −0.992666 | − | 0.120890i | \(-0.961425\pi\) |
−0.0216118 | + | 0.999766i | \(0.506880\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 45.1292 | + | 23.3003i | 1.66462 | + | 0.859445i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 43.1809i | 1.59059i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −19.2182 | − | 22.1790i | −0.706952 | − | 0.815866i | 0.282722 | − | 0.959202i | \(-0.408763\pi\) |
−0.989674 | + | 0.143336i | \(0.954217\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −4.92951 | − | 34.2855i | −0.181090 | − | 1.25951i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 15.4257 | + | 7.04470i | 0.565915 | + | 0.258445i | 0.677763 | − | 0.735280i | \(-0.262950\pi\) |
−0.111848 | + | 0.993725i | \(0.535677\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 29.7625 | + | 21.2209i | 1.09041 | + | 0.777474i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 38.1764 | − | 130.017i | 1.39680 | − | 4.75707i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.0462395 | + | 0.101250i | 0.00168955 | + | 0.00369961i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.1142 | − | 27.8293i | 0.879940 | − | 1.01550i | −0.119802 | − | 0.992798i | \(-0.538226\pi\) |
0.999742 | − | 0.0227070i | \(-0.00722848\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 23.9913 | − | 37.3312i | 0.874293 | − | 1.36043i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −1.51748 | − | 15.9940i | −0.0552267 | − | 0.582080i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.0234 | + | 40.9480i | 0.436998 | + | 1.48828i | 0.824208 | + | 0.566287i | \(0.191621\pi\) |
−0.387210 | + | 0.921992i | \(0.626561\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −90.8455 | − | 12.9125i | −3.29748 | − | 0.468695i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 8.47008 | − | 2.48704i | 0.307040 | − | 0.0901551i | −0.124583 | − | 0.992209i | \(-0.539759\pi\) |
0.431623 | + | 0.902054i | \(0.357941\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.858733 | − | 1.33622i | −0.0310882 | − | 0.0483742i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −27.4756 | − | 47.6557i | −0.993383 | − | 1.72300i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −5.32816 | − | 4.61688i | −0.192389 | − | 0.166706i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.97806 | − | 6.52104i | −0.107392 | − | 0.235155i | 0.848305 | − | 0.529507i | \(-0.177623\pi\) |
−0.955697 | + | 0.294353i | \(0.904896\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.56507 | + | 0.753171i | 0.0923786 | + | 0.0271248i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 16.2283 | + | 2.33328i | 0.583691 | + | 0.0839221i | 0.427834 | − | 0.903857i | \(-0.359277\pi\) |
0.155857 | + | 0.987780i | \(0.450186\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 29.4184 | − | 5.63303i | 1.05674 | − | 0.202344i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 4.57795 | − | 0.658210i | 0.164233 | − | 0.0236132i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 19.0081 | + | 21.9365i | 0.681036 | + | 0.785958i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −28.4842 | −1.01925 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 75.1881i | − | 2.68700i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.48294 | + | 18.5278i | 0.160003 | + | 0.661287i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 37.2713 | − | 5.35880i | 1.32858 | − | 0.191021i | 0.558784 | − | 0.829314i | \(-0.311268\pi\) |
0.769794 | + | 0.638293i | \(0.220359\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 28.7980 | − | 63.0587i | 1.02523 | − | 2.24495i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.335802 | + | 2.33555i | −0.0119397 | + | 0.0830427i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.22540 | + | 7.57901i | −0.0790262 | + | 0.269139i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −11.8469 | − | 0.571516i | −0.420165 | − | 0.0202696i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −3.52833 | − | 3.05731i | −0.124980 | − | 0.108296i | 0.590128 | − | 0.807309i | \(-0.299077\pi\) |
−0.715108 | + | 0.699014i | \(0.753623\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −15.9178 | − | 10.2297i | −0.563130 | − | 0.361901i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −88.4008 | + | 56.8118i | −3.12349 | + | 2.00735i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 2.08932 | + | 7.11556i | 0.0737303 | + | 0.251103i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.707013 | − | 2.90163i | −0.0249189 | − | 0.102269i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −13.7432 | − | 46.8051i | −0.483784 | − | 1.64762i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −3.82825 | + | 2.46026i | −0.134594 | + | 0.0864983i | −0.606205 | − | 0.795308i | \(-0.707309\pi\) |
0.471611 | + | 0.881807i | \(0.343673\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −33.4528 | − | 21.4988i | −1.17469 | − | 0.754926i | −0.200286 | − | 0.979737i | \(-0.564187\pi\) |
−0.974402 | + | 0.224811i | \(0.927823\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 78.5162 | + | 68.0347i | 2.75368 | + | 2.38608i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.85032 | + | 38.3550i | −0.0648140 | + | 1.34352i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −10.2308 | + | 34.8429i | −0.357930 | + | 1.21900i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.477649 | − | 3.32212i | 0.0166904 | − | 0.116084i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 17.2830 | − | 37.8445i | 0.603181 | − | 1.32078i | −0.323961 | − | 0.946071i | \(-0.605015\pi\) |
0.927142 | − | 0.374711i | \(-0.122258\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −52.0811 | + | 7.48813i | −1.81543 | + | 0.261020i | −0.964468 | − | 0.264201i | \(-0.914892\pi\) |
−0.850966 | + | 0.525221i | \(0.823983\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −92.9410 | − | 22.6663i | −3.23579 | − | 0.789139i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 51.8808i | − | 1.80407i | −0.431659 | − | 0.902037i | \(-0.642072\pi\) | ||
0.431659 | − | 0.902037i | \(-0.357928\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −18.2043 | −0.632260 | −0.316130 | − | 0.948716i | \(-0.602384\pi\) | ||||
−0.316130 | + | 0.948716i | \(0.602384\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.16078 | − | 2.49368i | −0.0749568 | − | 0.0865047i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 21.7052 | − | 3.12074i | 0.752041 | − | 0.108127i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −19.8843 | + | 15.6178i | −0.688126 | + | 0.540475i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −92.7279 | − | 13.3323i | −3.20514 | − | 0.460830i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 32.2079 | + | 9.45708i | 1.11194 | + | 0.326495i | 0.785585 | − | 0.618753i | \(-0.212362\pi\) |
0.326353 | + | 0.945248i | \(0.394180\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.44399 | − | 5.35160i | −0.0842756 | − | 0.184538i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 33.2562 | + | 28.8167i | 1.14540 | + | 0.992499i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 20.5182 | − | 11.8297i | 0.705848 | − | 0.406952i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.46338 | + | 5.38912i | 0.119003 | + | 0.185172i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −28.1674 | + | 8.27071i | −0.966704 | + | 0.283850i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 18.3702 | + | 15.8663i | 0.629724 | + | 0.543888i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 9.07323 | + | 30.9006i | 0.310662 | + | 1.05802i | 0.955816 | + | 0.293964i | \(0.0949747\pi\) |
−0.645155 | + | 0.764052i | \(0.723207\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 11.1581 | + | 117.604i | 0.381598 | + | 4.02198i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −5.09449 | + | 7.92718i | −0.174024 | + | 0.270787i | −0.917299 | − | 0.398199i | \(-0.869635\pi\) |
0.743275 | + | 0.668987i | \(0.233272\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.0252 | + | 12.7238i | −0.376176 | + | 0.434130i | −0.911994 | − | 0.410203i | \(-0.865458\pi\) |
0.535818 | + | 0.844333i | \(0.320003\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.61970 | + | 3.54664i | 0.0551991 | + | 0.120869i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 14.2874 | − | 48.6585i | 0.486349 | − | 1.65635i | −0.241336 | − | 0.970442i | \(-0.577586\pi\) |
0.727685 | − | 0.685911i | \(-0.240596\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −15.8243 | + | 22.1937i | −0.538043 | + | 0.754609i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 20.7896 | + | 9.49427i | 0.706050 | + | 0.322442i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −5.90160 | − | 41.0465i | −0.200198 | − | 1.39241i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −7.52536 | − | 8.68473i | −0.254987 | − | 0.294271i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | − | 25.9147i | − | 0.877078i | ||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −0.437529 | − | 3.08278i | −0.0147912 | − | 0.104217i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 16.5117 | − | 14.3075i | 0.557562 | − | 0.483130i | −0.329897 | − | 0.944017i | \(-0.607014\pi\) |
0.887459 | + | 0.460887i | \(0.152469\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 6.35327 | + | 44.1880i | 0.214291 | + | 1.49042i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1.10516 | − | 2.41997i | 0.0372338 | − | 0.0815307i | −0.890101 | − | 0.455763i | \(-0.849366\pi\) |
0.927335 | + | 0.374232i | \(0.122094\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −48.8626 | − | 7.02539i | −1.64436 | − | 0.236423i | −0.742936 | − | 0.669362i | \(-0.766567\pi\) |
−0.901423 | + | 0.432939i | \(0.857476\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 24.1101 | + | 23.0168i | 0.810454 | + | 0.773702i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −49.8558 | + | 22.7684i | −1.67399 | + | 0.764488i | −0.674334 | + | 0.738426i | \(0.735569\pi\) |
−0.999660 | + | 0.0260611i | \(0.991704\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.89036 | + | 3.33565i | −0.0969394 | + | 0.111874i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 137.419 | + | 88.3136i | 4.60370 | + | 2.95862i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 21.9685 | + | 34.1836i | 0.735147 | + | 1.14391i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 6.03719 | − | 31.2223i | 0.201801 | − | 1.04365i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 20.5216 | − | 13.2351i | 0.685195 | − | 0.441907i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 27.6358 | − | 8.11462i | 0.921707 | − | 0.270638i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.30795 | + | 2.76855i | −0.143519 | + | 0.0922337i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −2.63720 | + | 4.10356i | −0.0877605 | + | 0.136558i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2.47420 | − | 6.19109i | −0.0822450 | − | 0.205799i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 49.4265 | − | 22.5723i | 1.64118 | − | 0.749502i | 0.641338 | − | 0.767258i | \(-0.278380\pi\) |
0.999842 | + | 0.0177566i | \(0.00565239\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 52.7818 | + | 15.4981i | 1.75066 | + | 0.514041i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −1.26965 | + | 8.83058i | −0.0420652 | + | 0.292570i | 0.957919 | + | 0.287037i | \(0.0926703\pi\) |
−0.999985 | + | 0.00553302i | \(0.998239\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −92.5505 | − | 42.2664i | −3.06297 | − | 1.39881i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 12.2360 | − | 35.2845i | 0.404509 | − | 1.16647i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.330866 | − | 0.286697i | 0.0109262 | − | 0.00946758i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 27.4603 | 0.905831 | 0.452915 | − | 0.891554i | \(-0.350384\pi\) | ||||
0.452915 | + | 0.891554i | \(0.350384\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 100.180 | 3.30103 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 5.72886 | − | 4.96409i | 0.188568 | − | 0.163395i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 17.4416 | + | 18.3366i | 0.573476 | + | 0.602903i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 95.0664 | + | 43.4154i | 3.12239 | + | 1.42595i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −4.13309 | + | 28.7463i | −0.135602 | + | 0.943135i | 0.802469 | + | 0.596694i | \(0.203519\pi\) |
−0.938072 | + | 0.346442i | \(0.887390\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −45.1841 | − | 13.2672i | −1.48085 | − | 0.434816i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −84.8206 | + | 38.7363i | −2.77690 | + | 1.26817i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −38.3542 | + | 15.3278i | −1.25432 | + | 0.501273i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −20.7639 | + | 32.3093i | −0.678327 | + | 1.05550i | 0.315961 | + | 0.948772i | \(0.397673\pi\) |
−0.994289 | + | 0.106726i | \(0.965963\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −19.2462 | + | 12.3688i | −0.628077 | + | 0.403640i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 24.6530 | − | 7.23878i | 0.803666 | − | 0.235978i | 0.145997 | − | 0.989285i | \(-0.453361\pi\) |
0.657669 | + | 0.753307i | \(0.271543\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.47070 | + | 18.6275i | −0.275844 | + | 0.606593i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −1.84879 | + | 9.56131i | −0.0601411 | + | 0.311030i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −11.6195 | − | 18.0803i | −0.377583 | − | 0.587530i | 0.599504 | − | 0.800372i | \(-0.295365\pi\) |
−0.977087 | + | 0.212842i | \(0.931728\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.66028 | − | 1.06699i | −0.0538948 | − | 0.0346361i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −56.7522 | + | 65.4955i | −1.84032 | + | 2.12384i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.41027 | − | 1.55742i | 0.110470 | − | 0.0504498i | −0.359414 | − | 0.933178i | \(-0.617023\pi\) |
0.469883 | + | 0.882729i | \(0.344296\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −10.5529 | + | 11.0542i | −0.341485 | + | 0.357705i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −91.0549 | − | 13.0917i | −2.94339 | − | 0.423195i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −0.784062 | + | 1.71686i | −0.0253187 | + | 0.0554402i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.695472 | − | 4.83711i | −0.0224346 | − | 0.156036i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 2.34580 | − | 2.03265i | 0.0755923 | − | 0.0655011i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 28.4579 | + | 14.6928i | 0.916091 | + | 0.472979i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.0817874i | 0.00263010i | 0.999999 | + | 0.00131505i | \(0.000418594\pi\) | ||||
−0.999999 | + | 0.00131505i | \(0.999581\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 46.3030 | + | 53.4366i | 1.48747 | + | 1.71663i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 1.43638 | + | 9.99021i | 0.0460955 | + | 0.320601i | 0.999803 | + | 0.0198644i | \(0.00632346\pi\) |
−0.953707 | + | 0.300737i | \(0.902767\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.34824 | + | 1.52909i | 0.107340 | + | 0.0490204i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 22.6428 | − | 11.6386i | 0.725151 | − | 0.372732i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 3.07577 | − | 10.4751i | 0.0984026 | − | 0.335129i | −0.895547 | − | 0.444967i | \(-0.853215\pi\) |
0.993949 | + | 0.109839i | \(0.0350335\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 32.7768 | + | 71.7712i | 1.04755 | + | 2.29382i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −29.0055 | + | 33.4741i | −0.926075 | + | 1.06875i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 13.1835 | − | 20.5140i | 0.420490 | − | 0.654295i | −0.564792 | − | 0.825233i | \(-0.691044\pi\) |
0.985282 | + | 0.170939i | \(0.0546800\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 54.1407 | − | 5.13677i | 1.72507 | − | 0.163671i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.53776 | + | 5.23714i | 0.0489475 | + | 0.166700i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −25.3342 | + | 3.68411i | −0.805582 | + | 0.117148i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −35.4252 | + | 10.4018i | −1.12532 | + | 0.330424i | −0.790866 | − | 0.611989i | \(-0.790370\pi\) |
−0.334453 | + | 0.942412i | \(0.608552\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 26.8513 | + | 41.7814i | 0.852099 | + | 1.32589i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 23.3676 | − | 13.4725i | 0.740804 | − | 0.427106i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 21.3232 | + | 18.4766i | 0.675312 | + | 0.585161i | 0.923522 | − | 0.383545i | \(-0.125297\pi\) |
−0.248210 | + | 0.968706i | \(0.579842\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −32.8804 | − | 71.9980i | −1.04029 | − | 2.27791i |
(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 | 460.2.s.a.9.12 | yes | 120 | |
5.4 | even | 2 | inner | 460.2.s.a.9.1 | ✓ | 120 | |
23.18 | even | 11 | inner | 460.2.s.a.409.1 | yes | 120 | |
115.64 | even | 22 | inner | 460.2.s.a.409.12 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.s.a.9.1 | ✓ | 120 | 5.4 | even | 2 | inner | |
460.2.s.a.9.12 | yes | 120 | 1.1 | even | 1 | trivial | |
460.2.s.a.409.1 | yes | 120 | 23.18 | even | 11 | inner | |
460.2.s.a.409.12 | yes | 120 | 115.64 | even | 22 | inner |