Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(161,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.161");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 891 = 3^{4} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 891.k (of order \(10\), 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: | \(7.11467082010\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 161.16 | ||
Character | \(\chi\) | \(=\) | 891.161 |
Dual form | 891.2.k.a.404.16 |
$q$-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 \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.46797 | + | 1.06654i | 1.03801 | + | 0.754159i | 0.969896 | − | 0.243519i | \(-0.0783017\pi\) |
0.0681144 | + | 0.997678i | \(0.478302\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.399387 | + | 1.22919i | 0.199693 | + | 0.614593i | ||||
\(5\) | −0.706314 | − | 0.972158i | −0.315873 | − | 0.434762i | 0.621328 | − | 0.783550i | \(-0.286593\pi\) |
−0.937202 | + | 0.348788i | \(0.886593\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.60425 | + | 1.49601i | −1.74024 | + | 0.565439i | −0.994866 | − | 0.101203i | \(-0.967731\pi\) |
−0.745378 | + | 0.666643i | \(0.767731\pi\) | |||||||
\(8\) | 0.396737 | − | 1.22103i | 0.140268 | − | 0.431700i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 2.18041i | − | 0.689506i | ||||||
\(11\) | −3.30067 | + | 0.324896i | −0.995190 | + | 0.0979599i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.79861 | + | 2.47557i | −0.498844 | + | 0.686599i | −0.981988 | − | 0.188941i | \(-0.939494\pi\) |
0.483145 | + | 0.875541i | \(0.339494\pi\) | |||||||
\(14\) | −8.35446 | − | 2.71453i | −2.23282 | − | 0.725488i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.97590 | − | 2.88866i | 0.993974 | − | 0.722164i | ||||
\(17\) | −1.80866 | + | 1.31407i | −0.438664 | + | 0.318708i | −0.785104 | − | 0.619364i | \(-0.787390\pi\) |
0.346440 | + | 0.938072i | \(0.387390\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.34428 | − | 1.41154i | −0.996645 | − | 0.323830i | −0.235121 | − | 0.971966i | \(-0.575549\pi\) |
−0.761524 | + | 0.648136i | \(0.775549\pi\) | |||||||
\(20\) | 0.912871 | − | 1.25646i | 0.204124 | − | 0.280953i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.19180 | − | 3.04337i | −1.10690 | − | 0.648848i | ||||
\(23\) | 1.98738i | 0.414397i | 0.978299 | + | 0.207199i | \(0.0664346\pi\) | ||||
−0.978299 | + | 0.207199i | \(0.933565\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.09887 | − | 3.38198i | 0.219775 | − | 0.676397i | ||||
\(26\) | −5.28060 | + | 1.71577i | −1.03561 | + | 0.336490i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.67776 | − | 5.06200i | −0.695030 | − | 0.956627i | ||||
\(29\) | 0.524067 | + | 1.61291i | 0.0973167 | + | 0.299510i | 0.987851 | − | 0.155407i | \(-0.0496689\pi\) |
−0.890534 | + | 0.454917i | \(0.849669\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.29749 | − | 3.12231i | −0.771852 | − | 0.560783i | 0.130671 | − | 0.991426i | \(-0.458287\pi\) |
−0.902523 | + | 0.430643i | \(0.858287\pi\) | |||||||
\(32\) | 6.34963 | 1.12247 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.05656 | −0.695694 | ||||||||
\(35\) | 4.70641 | + | 3.41941i | 0.795528 | + | 0.577985i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.344857 | + | 1.06136i | 0.0566941 | + | 0.174486i | 0.975394 | − | 0.220471i | \(-0.0707594\pi\) |
−0.918699 | + | 0.394957i | \(0.870759\pi\) | |||||||
\(38\) | −4.87179 | − | 6.70545i | −0.790309 | − | 1.08777i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.46726 | + | 0.476740i | −0.231994 | + | 0.0753793i | ||||
\(41\) | −3.28550 | + | 10.1117i | −0.513109 | + | 1.57919i | 0.273587 | + | 0.961847i | \(0.411790\pi\) |
−0.786696 | + | 0.617341i | \(0.788210\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 3.79055i | − | 0.578054i | −0.957321 | − | 0.289027i | \(-0.906668\pi\) | ||
0.957321 | − | 0.289027i | \(-0.0933317\pi\) | |||||||
\(44\) | −1.71760 | − | 3.92738i | −0.258938 | − | 0.592075i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.11962 | + | 2.91741i | −0.312521 | + | 0.430149i | ||||
\(47\) | −3.10538 | − | 1.00900i | −0.452967 | − | 0.147178i | 0.0736436 | − | 0.997285i | \(-0.476537\pi\) |
−0.526610 | + | 0.850107i | \(0.676537\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 13.2980 | − | 9.66153i | 1.89971 | − | 1.38022i | ||||
\(50\) | 5.22014 | − | 3.79265i | 0.738239 | − | 0.536362i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.76128 | − | 1.22211i | −0.521595 | − | 0.169477i | ||||
\(53\) | 0.749954 | − | 1.03222i | 0.103014 | − | 0.141787i | −0.754398 | − | 0.656417i | \(-0.772071\pi\) |
0.857412 | + | 0.514631i | \(0.172071\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.64716 | + | 2.97930i | 0.356943 | + | 0.401728i | ||||
\(56\) | 6.21546i | 0.830575i | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.950924 | + | 2.92664i | −0.124862 | + | 0.384287i | ||||
\(59\) | −0.0300536 | + | 0.00976502i | −0.00391265 | + | 0.00127130i | −0.310973 | − | 0.950419i | \(-0.600655\pi\) |
0.307060 | + | 0.951690i | \(0.400655\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.697881 | − | 0.960551i | −0.0893545 | − | 0.122986i | 0.761999 | − | 0.647578i | \(-0.224218\pi\) |
−0.851354 | + | 0.524592i | \(0.824218\pi\) | |||||||
\(62\) | −2.97851 | − | 9.16690i | −0.378271 | − | 1.16420i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.36926 | + | 0.994827i | 0.171158 | + | 0.124353i | ||||
\(65\) | 3.67703 | 0.456079 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.10554 | −0.257233 | −0.128617 | − | 0.991694i | \(-0.541054\pi\) | ||||
−0.128617 | + | 0.991694i | \(0.541054\pi\) | |||||||
\(68\) | −2.33759 | − | 1.69836i | −0.283474 | − | 0.205956i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.26192 | + | 10.0392i | 0.389874 | + | 1.19991i | ||||
\(71\) | 2.26013 | + | 3.11080i | 0.268228 | + | 0.369184i | 0.921790 | − | 0.387688i | \(-0.126726\pi\) |
−0.653563 | + | 0.756873i | \(0.726726\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.69980 | − | 2.17690i | 0.784152 | − | 0.254786i | 0.110540 | − | 0.993872i | \(-0.464742\pi\) |
0.673612 | + | 0.739085i | \(0.264742\pi\) | |||||||
\(74\) | −0.625746 | + | 1.92585i | −0.0727414 | + | 0.223875i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 5.90368i | − | 0.677198i | ||||||
\(77\) | 14.7111 | − | 6.43375i | 1.67648 | − | 0.733194i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.24604 | + | 3.09141i | −0.252700 | + | 0.347811i | −0.916454 | − | 0.400139i | \(-0.868962\pi\) |
0.663755 | + | 0.747950i | \(0.268962\pi\) | |||||||
\(80\) | −5.61646 | − | 1.82490i | −0.627940 | − | 0.204030i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −15.6076 | + | 11.3396i | −1.72357 | + | 1.25225i | ||||
\(83\) | 5.88095 | − | 4.27276i | 0.645518 | − | 0.468996i | −0.216223 | − | 0.976344i | \(-0.569374\pi\) |
0.861742 | + | 0.507348i | \(0.169374\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.55496 | + | 0.830157i | 0.277124 | + | 0.0900431i | ||||
\(86\) | 4.04278 | − | 5.56441i | 0.435945 | − | 0.600026i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.912791 | + | 4.15912i | −0.0973039 | + | 0.443364i | ||||
\(89\) | 10.2875i | 1.09048i | 0.838281 | + | 0.545238i | \(0.183561\pi\) | ||||
−0.838281 | + | 0.545238i | \(0.816439\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.57775 | − | 14.0889i | 0.479879 | − | 1.47692i | ||||
\(92\) | −2.44286 | + | 0.793733i | −0.254686 | + | 0.0827524i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.48246 | − | 4.79320i | −0.359189 | − | 0.494381i | ||||
\(95\) | 1.69618 | + | 5.22031i | 0.174025 | + | 0.535593i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.7345 | − | 8.52561i | −1.19146 | − | 0.865644i | −0.198040 | − | 0.980194i | \(-0.563458\pi\) |
−0.993418 | + | 0.114549i | \(0.963458\pi\) | |||||||
\(98\) | 29.8254 | 3.01282 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.59597 | 0.459597 | ||||||||
\(101\) | 13.0136 | + | 9.45494i | 1.29490 | + | 0.940802i | 0.999892 | − | 0.0146921i | \(-0.00467680\pi\) |
0.295011 | + | 0.955494i | \(0.404677\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.643116 | − | 1.97931i | −0.0633681 | − | 0.195027i | 0.914360 | − | 0.404902i | \(-0.132694\pi\) |
−0.977728 | + | 0.209875i | \(0.932694\pi\) | |||||||
\(104\) | 2.30917 | + | 3.17830i | 0.226433 | + | 0.311658i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.20182 | − | 0.715414i | 0.213859 | − | 0.0694871i | ||||
\(107\) | −0.129361 | + | 0.398133i | −0.0125058 | + | 0.0384889i | −0.957115 | − | 0.289709i | \(-0.906441\pi\) |
0.944609 | + | 0.328198i | \(0.106441\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.6788i | 1.40597i | 0.711205 | + | 0.702985i | \(0.248150\pi\) | ||||
−0.711205 | + | 0.702985i | \(0.751850\pi\) | |||||||
\(110\) | 0.708407 | + | 7.19682i | 0.0675440 | + | 0.686190i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −13.9846 | + | 19.2481i | −1.32142 | + | 1.81877i | ||||
\(113\) | 3.04019 | + | 0.987818i | 0.285997 | + | 0.0929261i | 0.448503 | − | 0.893782i | \(-0.351957\pi\) |
−0.162505 | + | 0.986708i | \(0.551957\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.93205 | − | 1.40371i | 0.180164 | − | 0.130897i | ||||
\(116\) | −1.77326 | + | 1.28835i | −0.164643 | + | 0.119620i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.0545326 | − | 0.0177187i | −0.00502013 | − | 0.00163114i | ||||
\(119\) | 6.36165 | − | 8.75606i | 0.583172 | − | 0.802667i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.7889 | − | 2.14475i | 0.980808 | − | 0.194977i | ||||
\(122\) | − | 2.15438i | − | 0.195048i | ||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.12154 | − | 6.52943i | 0.190520 | − | 0.586360i | ||||
\(125\) | −9.77817 | + | 3.17712i | −0.874587 | + | 0.284170i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.1088 | − | 18.0428i | −1.16322 | − | 1.60104i | −0.698567 | − | 0.715545i | \(-0.746179\pi\) |
−0.464654 | − | 0.885492i | \(-0.653821\pi\) | |||||||
\(128\) | −2.97528 | − | 9.15696i | −0.262980 | − | 0.809368i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.39776 | + | 3.92170i | 0.473415 | + | 0.343956i | ||||
\(131\) | −15.4992 | −1.35417 | −0.677086 | − | 0.735904i | \(-0.736757\pi\) | ||||
−0.677086 | + | 0.735904i | \(0.736757\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 22.1138 | 1.91751 | ||||||||
\(134\) | −3.09087 | − | 2.24565i | −0.267011 | − | 0.193995i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.886955 | + | 2.72977i | 0.0760557 | + | 0.234075i | ||||
\(137\) | −10.0751 | − | 13.8672i | −0.860773 | − | 1.18475i | −0.981385 | − | 0.192053i | \(-0.938486\pi\) |
0.120612 | − | 0.992700i | \(-0.461514\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.86040 | + | 3.20384i | −0.836348 | + | 0.271746i | −0.695717 | − | 0.718316i | \(-0.744913\pi\) |
−0.140631 | + | 0.990062i | \(0.544913\pi\) | |||||||
\(140\) | −2.32341 | + | 7.15072i | −0.196364 | + | 0.604346i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.97708i | 0.585503i | ||||||||
\(143\) | 5.13231 | − | 8.75541i | 0.429185 | − | 0.732164i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.19785 | − | 1.64870i | 0.0994759 | − | 0.136917i | ||||
\(146\) | 12.1568 | + | 3.95000i | 1.00611 | + | 0.326904i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.16688 | + | 0.847786i | −0.0959168 | + | 0.0696876i | ||||
\(149\) | 0.0327310 | − | 0.0237805i | 0.00268143 | − | 0.00194817i | −0.586444 | − | 0.809990i | \(-0.699472\pi\) |
0.589125 | + | 0.808042i | \(0.299472\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.61695 | + | 0.850299i | 0.212964 | + | 0.0691964i | 0.413556 | − | 0.910479i | \(-0.364286\pi\) |
−0.200592 | + | 0.979675i | \(0.564286\pi\) | |||||||
\(152\) | −3.44707 | + | 4.74449i | −0.279594 | + | 0.384829i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 28.4573 | + | 6.24544i | 2.29315 | + | 0.503272i | ||||
\(155\) | 6.38317i | 0.512709i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.651985 | − | 2.00660i | 0.0520341 | − | 0.160145i | −0.921663 | − | 0.387992i | \(-0.873169\pi\) |
0.973697 | + | 0.227848i | \(0.0731688\pi\) | |||||||
\(158\) | −6.59424 | + | 2.14260i | −0.524610 | + | 0.170456i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.48483 | − | 6.17284i | −0.354557 | − | 0.488006i | ||||
\(161\) | −2.97314 | − | 9.15039i | −0.234316 | − | 0.721152i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.8085 | − | 8.57941i | −0.924917 | − | 0.671991i | 0.0198264 | − | 0.999803i | \(-0.493689\pi\) |
−0.944743 | + | 0.327812i | \(0.893689\pi\) | |||||||
\(164\) | −13.7414 | −1.07302 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 13.1901 | 1.02375 | ||||||||
\(167\) | 0.721863 | + | 0.524464i | 0.0558594 | + | 0.0405843i | 0.615365 | − | 0.788243i | \(-0.289009\pi\) |
−0.559505 | + | 0.828827i | \(0.689009\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.12376 | + | 3.45858i | 0.0864432 | + | 0.266045i | ||||
\(170\) | 2.86520 | + | 3.94362i | 0.219751 | + | 0.302461i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.65930 | − | 1.51390i | 0.355268 | − | 0.115434i | ||||
\(173\) | −4.09368 | + | 12.5991i | −0.311237 | + | 0.957889i | 0.666039 | + | 0.745917i | \(0.267989\pi\) |
−0.977276 | + | 0.211972i | \(0.932011\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 17.2154i | 1.30136i | ||||||||
\(176\) | −12.1846 | + | 10.8263i | −0.918450 | + | 0.816060i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −10.9721 | + | 15.1018i | −0.822392 | + | 1.13193i | ||||
\(179\) | 19.1587 | + | 6.22502i | 1.43199 | + | 0.465280i | 0.919389 | − | 0.393350i | \(-0.128684\pi\) |
0.512596 | + | 0.858630i | \(0.328684\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.63758 | − | 2.64286i | 0.270379 | − | 0.196442i | −0.444331 | − | 0.895863i | \(-0.646559\pi\) |
0.714710 | + | 0.699421i | \(0.246559\pi\) | |||||||
\(182\) | 21.7464 | − | 15.7997i | 1.61195 | − | 1.17115i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.42665 | + | 0.788467i | 0.178895 | + | 0.0581265i | ||||
\(185\) | 0.788232 | − | 1.08491i | 0.0579520 | − | 0.0797641i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.54285 | − | 4.92493i | 0.405333 | − | 0.360146i | ||||
\(188\) | − | 4.22008i | − | 0.307781i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.07774 | + | 9.47231i | −0.223283 | + | 0.687193i | ||||
\(191\) | −16.9040 | + | 5.49245i | −1.22313 | + | 0.397420i | −0.848222 | − | 0.529641i | \(-0.822327\pi\) |
−0.374910 | + | 0.927061i | \(0.622327\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.62015 | + | 4.98270i | 0.260584 | + | 0.358663i | 0.919183 | − | 0.393831i | \(-0.128851\pi\) |
−0.658599 | + | 0.752494i | \(0.728851\pi\) | |||||||
\(194\) | −8.13295 | − | 25.0307i | −0.583912 | − | 1.79710i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 17.1869 | + | 12.4870i | 1.22763 | + | 0.891927i | ||||
\(197\) | −22.5100 | −1.60377 | −0.801886 | − | 0.597477i | \(-0.796170\pi\) | ||||
−0.801886 | + | 0.597477i | \(0.796170\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.30680 | 0.659742 | 0.329871 | − | 0.944026i | \(-0.392995\pi\) | ||||
0.329871 | + | 0.944026i | \(0.392995\pi\) | |||||||
\(200\) | −3.69355 | − | 2.68352i | −0.261173 | − | 0.189753i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 9.01948 | + | 27.7591i | 0.634609 | + | 1.95312i | ||||
\(203\) | −4.82587 | − | 6.64224i | −0.338710 | − | 0.466194i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 12.1508 | − | 3.94804i | 0.848649 | − | 0.275743i | ||||
\(206\) | 1.16694 | − | 3.59147i | 0.0813046 | − | 0.250230i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 15.0382i | 1.04271i | ||||||||
\(209\) | 14.7976 | + | 3.24760i | 1.02357 | + | 0.224641i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.23554 | − | 11.3352i | 0.566958 | − | 0.780351i | −0.425232 | − | 0.905084i | \(-0.639808\pi\) |
0.992190 | + | 0.124734i | \(0.0398076\pi\) | |||||||
\(212\) | 1.56832 | + | 0.509577i | 0.107712 | + | 0.0349979i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.614523 | + | 0.446477i | −0.0420079 | + | 0.0305206i | ||||
\(215\) | −3.68502 | + | 2.67732i | −0.251316 | + | 0.182592i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 24.4577 | + | 7.94680i | 1.66030 | + | 0.539464i | ||||
\(218\) | −15.6555 | + | 21.5480i | −1.06032 | + | 1.45941i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.60487 | + | 4.44375i | −0.175620 | + | 0.299597i | ||||
\(221\) | − | 6.84094i | − | 0.460172i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.98529 | + | 15.3432i | −0.333840 | + | 1.02745i | 0.633451 | + | 0.773783i | \(0.281638\pi\) |
−0.967291 | + | 0.253671i | \(0.918362\pi\) | |||||||
\(224\) | −29.2353 | + | 9.49912i | −1.95336 | + | 0.634686i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.40936 | + | 4.69258i | 0.226787 | + | 0.312146i | ||||
\(227\) | 4.54715 | + | 13.9947i | 0.301805 | + | 0.928861i | 0.980850 | + | 0.194764i | \(0.0623942\pi\) |
−0.679045 | + | 0.734097i | \(0.737606\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.9594 | − | 13.0482i | −1.18679 | − | 0.862252i | −0.193867 | − | 0.981028i | \(-0.562103\pi\) |
−0.992921 | + | 0.118775i | \(0.962103\pi\) | |||||||
\(230\) | 4.33330 | 0.285729 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.17733 | 0.142949 | ||||||||
\(233\) | −4.18134 | − | 3.03792i | −0.273929 | − | 0.199021i | 0.442336 | − | 0.896849i | \(-0.354150\pi\) |
−0.716265 | + | 0.697828i | \(0.754150\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.21247 | + | 3.73159i | 0.0790927 | + | 0.243422i | ||||
\(236\) | −0.0240061 | − | 0.0330415i | −0.00156266 | − | 0.00215082i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 18.6774 | − | 6.06866i | 1.21068 | − | 0.393373i | ||||
\(239\) | 4.22278 | − | 12.9964i | 0.273149 | − | 0.840665i | −0.716555 | − | 0.697531i | \(-0.754282\pi\) |
0.989703 | − | 0.143134i | \(-0.0457180\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 7.05251i | − | 0.454292i | −0.973861 | − | 0.227146i | \(-0.927061\pi\) | ||
0.973861 | − | 0.227146i | \(-0.0729395\pi\) | |||||||
\(242\) | 18.1252 | + | 8.35837i | 1.16513 | + | 0.537296i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.901971 | − | 1.24146i | 0.0577428 | − | 0.0794761i | ||||
\(245\) | −18.7851 | − | 6.10364i | −1.20013 | − | 0.389947i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 11.3080 | − | 8.21575i | 0.719512 | − | 0.522756i | ||||
\(248\) | −5.51741 | + | 4.00863i | −0.350356 | + | 0.254548i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −17.7426 | − | 5.76492i | −1.12214 | − | 0.364605i | ||||
\(251\) | −3.95496 | + | 5.44354i | −0.249635 | + | 0.343593i | −0.915383 | − | 0.402583i | \(-0.868112\pi\) |
0.665748 | + | 0.746176i | \(0.268112\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.645692 | − | 6.55969i | −0.0405943 | − | 0.412404i | ||||
\(254\) | − | 40.4673i | − | 2.53915i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.44469 | − | 19.8347i | 0.402793 | − | 1.23967i | ||||
\(257\) | −13.4589 | + | 4.37306i | −0.839543 | + | 0.272784i | −0.697060 | − | 0.717013i | \(-0.745509\pi\) |
−0.142483 | + | 0.989797i | \(0.545509\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.17561 | − | 4.37086i | −0.197323 | − | 0.271592i | ||||
\(260\) | 1.46856 | + | 4.51975i | 0.0910760 | + | 0.280303i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −22.7523 | − | 16.5305i | −1.40564 | − | 1.02126i | ||||
\(263\) | −6.94583 | −0.428298 | −0.214149 | − | 0.976801i | \(-0.568698\pi\) | ||||
−0.214149 | + | 0.976801i | \(0.568698\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.53319 | −0.0941829 | ||||||||
\(266\) | 32.4624 | + | 23.5853i | 1.99040 | + | 1.44611i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.840926 | − | 2.58811i | −0.0513678 | − | 0.158094i | ||||
\(269\) | 4.05850 | + | 5.58605i | 0.247451 | + | 0.340587i | 0.914617 | − | 0.404322i | \(-0.132493\pi\) |
−0.667165 | + | 0.744910i | \(0.732493\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.9581 | + | 4.21033i | −0.787146 | + | 0.255759i | −0.674888 | − | 0.737920i | \(-0.735808\pi\) |
−0.112258 | + | 0.993679i | \(0.535808\pi\) | |||||||
\(272\) | −3.39514 | + | 10.4492i | −0.205861 | + | 0.633575i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 31.1021i | − | 1.87895i | ||||||
\(275\) | −2.52823 | + | 11.5198i | −0.152458 | + | 0.694673i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.85079 | + | 9.42931i | −0.411624 | + | 0.566552i | −0.963614 | − | 0.267299i | \(-0.913869\pi\) |
0.551989 | + | 0.833851i | \(0.313869\pi\) | |||||||
\(278\) | −17.8918 | − | 5.81339i | −1.07308 | − | 0.348664i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.04241 | − | 4.39007i | 0.361103 | − | 0.262357i | ||||
\(281\) | −17.6693 | + | 12.8375i | −1.05406 | + | 0.765823i | −0.972981 | − | 0.230885i | \(-0.925838\pi\) |
−0.0810832 | + | 0.996707i | \(0.525838\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −22.3258 | − | 7.25408i | −1.32713 | − | 0.431210i | −0.442191 | − | 0.896921i | \(-0.645799\pi\) |
−0.884937 | + | 0.465711i | \(0.845799\pi\) | |||||||
\(284\) | −2.92109 | + | 4.02053i | −0.173335 | + | 0.238575i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 16.8721 | − | 7.37884i | 0.997667 | − | 0.436320i | ||||
\(287\) | − | 51.4721i | − | 3.03830i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.70882 | + | 11.4146i | −0.218166 | + | 0.671445i | ||||
\(290\) | 3.51681 | − | 1.14268i | 0.206514 | − | 0.0671005i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.35162 | + | 7.36588i | 0.313180 | + | 0.431055i | ||||
\(293\) | 0.524298 | + | 1.61362i | 0.0306298 | + | 0.0942689i | 0.965203 | − | 0.261503i | \(-0.0842181\pi\) |
−0.934573 | + | 0.355772i | \(0.884218\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.0307205 | + | 0.0223197i | 0.00178861 | + | 0.00129950i | ||||
\(296\) | 1.43277 | 0.0832781 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.0734110 | 0.00425258 | ||||||||
\(299\) | −4.91989 | − | 3.57451i | −0.284525 | − | 0.206719i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.67071 | + | 17.4527i | 0.326855 | + | 1.00595i | ||||
\(302\) | 2.93472 | + | 4.03930i | 0.168874 | + | 0.232436i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −21.3498 | + | 6.93699i | −1.22450 | + | 0.397863i | ||||
\(305\) | −0.440884 | + | 1.35690i | −0.0252449 | + | 0.0776959i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 2.35281i | − | 0.134282i | −0.997743 | − | 0.0671410i | \(-0.978612\pi\) | ||
0.997743 | − | 0.0671410i | \(-0.0213877\pi\) | |||||||
\(308\) | 13.7837 | + | 15.5131i | 0.785399 | + | 0.883941i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.80792 | + | 9.37029i | −0.386664 | + | 0.532197i | ||||
\(311\) | 10.0872 | + | 3.27754i | 0.571995 | + | 0.185852i | 0.580711 | − | 0.814110i | \(-0.302775\pi\) |
−0.00871654 | + | 0.999962i | \(0.502775\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.4957 | − | 14.8910i | 1.15849 | − | 0.841691i | 0.168902 | − | 0.985633i | \(-0.445978\pi\) |
0.989586 | + | 0.143942i | \(0.0459779\pi\) | |||||||
\(314\) | 3.09722 | − | 2.25026i | 0.174786 | − | 0.126990i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.69696 | − | 1.52614i | −0.264225 | − | 0.0858518i | ||||
\(317\) | 15.7600 | − | 21.6917i | 0.885168 | − | 1.21833i | −0.0897951 | − | 0.995960i | \(-0.528621\pi\) |
0.974963 | − | 0.222368i | \(-0.0713788\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.25380 | − | 5.15343i | −0.126189 | − | 0.288536i | ||||
\(320\) | − | 2.03380i | − | 0.113693i | ||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.39479 | − | 16.6035i | 0.300640 | − | 0.925275i | ||||
\(323\) | 9.71216 | − | 3.15567i | 0.540399 | − | 0.175586i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.39590 | + | 8.80320i | 0.354781 | + | 0.488314i | ||||
\(326\) | −8.18427 | − | 25.1886i | −0.453285 | − | 1.39507i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 11.0433 | + | 8.02340i | 0.609762 | + | 0.443018i | ||||
\(329\) | 15.8074 | 0.871492 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.3237 | −0.952198 | −0.476099 | − | 0.879392i | \(-0.657950\pi\) | ||||
−0.476099 | + | 0.879392i | \(0.657950\pi\) | |||||||
\(332\) | 7.60079 | + | 5.52230i | 0.417148 | + | 0.303076i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.500309 | + | 1.53979i | 0.0273757 | + | 0.0842538i | ||||
\(335\) | 1.48717 | + | 2.04692i | 0.0812530 | + | 0.111835i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.3674 | + | 4.01842i | −0.673696 | + | 0.218897i | −0.625833 | − | 0.779957i | \(-0.715241\pi\) |
−0.0478628 | + | 0.998854i | \(0.515241\pi\) | |||||||
\(338\) | −2.03908 | + | 6.27563i | −0.110911 | + | 0.341349i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.47208i | 0.188300i | ||||||||
\(341\) | 15.1990 | + | 8.90948i | 0.823074 | + | 0.482476i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −26.8543 | + | 36.9618i | −1.45000 | + | 1.99575i | ||||
\(344\) | −4.62838 | − | 1.50385i | −0.249546 | − | 0.0810823i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −19.4468 | + | 14.1289i | −1.04547 | + | 0.759577i | ||||
\(347\) | 17.1967 | − | 12.4941i | 0.923168 | − | 0.670721i | −0.0211427 | − | 0.999776i | \(-0.506730\pi\) |
0.944310 | + | 0.329056i | \(0.106730\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.87430 | + | 2.88343i | 0.475030 | + | 0.154347i | 0.536740 | − | 0.843747i | \(-0.319655\pi\) |
−0.0617102 | + | 0.998094i | \(0.519655\pi\) | |||||||
\(350\) | −18.3610 | + | 25.2717i | −0.981436 | + | 1.35083i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −20.9580 | + | 2.06297i | −1.11707 | + | 0.109957i | ||||
\(353\) | − | 9.12141i | − | 0.485483i | −0.970091 | − | 0.242742i | \(-0.921953\pi\) | ||
0.970091 | − | 0.242742i | \(-0.0780468\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.42783 | − | 4.39440i | 0.0757813 | − | 0.233231i | ||||
\(356\) | −12.6453 | + | 4.10870i | −0.670199 | + | 0.217761i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 21.4851 | + | 29.5716i | 1.13552 | + | 1.56291i | ||||
\(359\) | −2.41692 | − | 7.43851i | −0.127560 | − | 0.392589i | 0.866799 | − | 0.498658i | \(-0.166174\pi\) |
−0.994359 | + | 0.106069i | \(0.966174\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.50897 | + | 1.09633i | 0.0794193 | + | 0.0577015i | ||||
\(362\) | 8.15857 | 0.428805 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 19.1462 | 1.00353 | ||||||||
\(365\) | −6.84845 | − | 4.97569i | −0.358464 | − | 0.260439i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.57224 | + | 23.3050i | 0.395268 | + | 1.21651i | 0.928753 | + | 0.370700i | \(0.120882\pi\) |
−0.533485 | + | 0.845810i | \(0.679118\pi\) | |||||||
\(368\) | 5.74086 | + | 7.90161i | 0.299263 | + | 0.411900i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.31420 | − | 0.751929i | 0.120310 | − | 0.0390909i | ||||
\(371\) | −1.90876 | + | 5.87455i | −0.0990978 | + | 0.304992i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 2.86129i | − | 0.148152i | −0.997253 | − | 0.0740760i | \(-0.976399\pi\) | ||
0.997253 | − | 0.0740760i | \(-0.0236007\pi\) | |||||||
\(374\) | 13.3894 | − | 1.31796i | 0.692348 | − | 0.0681501i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.46404 | + | 3.39146i | −0.127073 | + | 0.174901i | ||||
\(377\) | −4.93546 | − | 1.60363i | −0.254189 | − | 0.0825911i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 23.6747 | − | 17.2007i | 1.21609 | − | 0.883540i | 0.220320 | − | 0.975428i | \(-0.429290\pi\) |
0.995769 | + | 0.0918872i | \(0.0292899\pi\) | |||||||
\(380\) | −5.73931 | + | 4.16985i | −0.294420 | + | 0.213909i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −30.6725 | − | 9.96610i | −1.56934 | − | 0.509910i | ||||
\(383\) | −16.7280 | + | 23.0242i | −0.854762 | + | 1.17648i | 0.128031 | + | 0.991770i | \(0.459134\pi\) |
−0.982793 | + | 0.184709i | \(0.940866\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −16.6453 | − | 9.75724i | −0.848321 | − | 0.497275i | ||||
\(386\) | 11.1755i | 0.568818i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.79296 | − | 17.8289i | 0.294093 | − | 0.905125i | ||||
\(389\) | 13.5825 | − | 4.41321i | 0.688658 | − | 0.223759i | 0.0562761 | − | 0.998415i | \(-0.482077\pi\) |
0.632382 | + | 0.774657i | \(0.282077\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.61155 | − | 3.59449i | −0.132072 | − | 0.181781i | ||||
\(392\) | −6.52124 | − | 20.0703i | −0.329372 | − | 1.01370i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −33.0440 | − | 24.0079i | −1.66473 | − | 1.20950i | ||||
\(395\) | 4.59175 | 0.231036 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.20687 | 0.110760 | 0.0553798 | − | 0.998465i | \(-0.482363\pi\) | ||||
0.0553798 | + | 0.998465i | \(0.482363\pi\) | |||||||
\(398\) | 13.6621 | + | 9.92609i | 0.684819 | + | 0.497550i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.40039 | − | 16.6207i | −0.270019 | − | 0.831034i | ||||
\(401\) | −18.5405 | − | 25.5188i | −0.925869 | − | 1.27435i | −0.961449 | − | 0.274983i | \(-0.911328\pi\) |
0.0355802 | − | 0.999367i | \(-0.488672\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 15.4590 | − | 5.02293i | 0.770067 | − | 0.250210i | ||||
\(404\) | −6.42442 | + | 19.7723i | −0.319627 | + | 0.983710i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 14.8976i | − | 0.739355i | ||||||
\(407\) | −1.48309 | − | 3.39116i | −0.0735141 | − | 0.168093i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.98413 | + | 5.48368i | −0.197002 | + | 0.271150i | −0.896077 | − | 0.443898i | \(-0.853595\pi\) |
0.699075 | + | 0.715048i | \(0.253595\pi\) | |||||||
\(410\) | 22.0477 | + | 7.16375i | 1.08886 | + | 0.353792i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.17609 | − | 1.58102i | 0.107208 | − | 0.0778913i | ||||
\(413\) | 0.123766 | − | 0.0899212i | 0.00609012 | − | 0.00442473i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.30760 | − | 2.69930i | −0.407804 | − | 0.132504i | ||||
\(416\) | −11.4205 | + | 15.7189i | −0.559935 | + | 0.770685i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 18.2588 | + | 20.5497i | 0.893066 | + | 1.00512i | ||||
\(419\) | − | 28.6088i | − | 1.39763i | −0.715302 | − | 0.698815i | \(-0.753711\pi\) | ||
0.715302 | − | 0.698815i | \(-0.246289\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.72842 | + | 5.31954i | −0.0842381 | + | 0.259258i | −0.984300 | − | 0.176504i | \(-0.943521\pi\) |
0.900062 | + | 0.435762i | \(0.143521\pi\) | |||||||
\(422\) | 24.1790 | − | 7.85624i | 1.17702 | − | 0.382436i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.962842 | − | 1.32524i | −0.0467597 | − | 0.0643592i | ||||
\(425\) | 2.45667 | + | 7.56084i | 0.119166 | + | 0.366755i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.65021 | + | 3.37858i | 0.225040 | + | 0.163501i | ||||
\(428\) | −0.541044 | −0.0261524 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.26497 | −0.398572 | ||||||||
\(431\) | 15.7825 | + | 11.4667i | 0.760216 | + | 0.552329i | 0.898977 | − | 0.437997i | \(-0.144312\pi\) |
−0.138760 | + | 0.990326i | \(0.544312\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.96921 | − | 21.4490i | −0.334919 | − | 1.03077i | −0.966762 | − | 0.255678i | \(-0.917701\pi\) |
0.631843 | − | 0.775096i | \(-0.282299\pi\) | |||||||
\(434\) | 27.4276 | + | 37.7508i | 1.31657 | + | 1.81210i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −18.0429 | + | 5.86250i | −0.864099 | + | 0.280763i | ||||
\(437\) | 2.80527 | − | 8.63372i | 0.134194 | − | 0.413007i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 29.9870i | − | 1.43120i | −0.698509 | − | 0.715601i | \(-0.746153\pi\) | ||
0.698509 | − | 0.715601i | \(-0.253847\pi\) | |||||||
\(440\) | 4.68804 | − | 2.05027i | 0.223494 | − | 0.0977428i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.29615 | − | 10.0423i | 0.347043 | − | 0.477663i | ||||
\(443\) | 30.0035 | + | 9.74873i | 1.42551 | + | 0.463176i | 0.917348 | − | 0.398086i | \(-0.130325\pi\) |
0.508161 | + | 0.861262i | \(0.330325\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.0011 | − | 7.26623i | 0.474098 | − | 0.344452i | ||||
\(446\) | −23.6824 | + | 17.2063i | −1.12139 | + | 0.814740i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −7.79270 | − | 2.53200i | −0.368171 | − | 0.119626i | ||||
\(449\) | 22.3362 | − | 30.7432i | 1.05411 | − | 1.45086i | 0.168921 | − | 0.985630i | \(-0.445972\pi\) |
0.885190 | − | 0.465229i | \(-0.154028\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.55911 | − | 34.4430i | 0.355944 | − | 1.62186i | ||||
\(452\) | 4.13148i | 0.194329i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −8.25085 | + | 25.3935i | −0.387232 | + | 1.19178i | ||||
\(455\) | −16.9300 | + | 5.50087i | −0.793688 | + | 0.257885i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −23.0565 | − | 31.7345i | −1.07854 | − | 1.48448i | −0.861123 | − | 0.508397i | \(-0.830238\pi\) |
−0.217413 | − | 0.976080i | \(-0.569762\pi\) | |||||||
\(458\) | −12.4473 | − | 38.3088i | −0.581624 | − | 1.79005i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.49706 | + | 1.81422i | 0.116426 | + | 0.0845885i | ||||
\(461\) | 17.5521 | 0.817482 | 0.408741 | − | 0.912650i | \(-0.365968\pi\) | ||||
0.408741 | + | 0.912650i | \(0.365968\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.07239 | 0.235734 | 0.117867 | − | 0.993029i | \(-0.462394\pi\) | ||||
0.117867 | + | 0.993029i | \(0.462394\pi\) | |||||||
\(464\) | 6.74278 | + | 4.89892i | 0.313026 | + | 0.227427i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.89801 | − | 8.91915i | −0.134248 | − | 0.413172i | ||||
\(467\) | −9.96792 | − | 13.7197i | −0.461260 | − | 0.634870i | 0.513509 | − | 0.858084i | \(-0.328345\pi\) |
−0.974770 | + | 0.223214i | \(0.928345\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 9.69445 | − | 3.14992i | 0.447648 | − | 0.145450i | ||||
\(470\) | −2.20004 | + | 6.77101i | −0.101480 | + | 0.312324i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.0405706i | 0.00186741i | ||||||||
\(473\) | 1.23154 | + | 12.5114i | 0.0566261 | + | 0.575274i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9.54762 | + | 13.1412i | −0.438075 | + | 0.602958i | ||||
\(476\) | 13.3036 | + | 4.32260i | 0.609769 | + | 0.198126i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 20.0601 | − | 14.5745i | 0.917526 | − | 0.666622i | ||||
\(479\) | 14.6267 | − | 10.6269i | 0.668310 | − | 0.485556i | −0.201149 | − | 0.979561i | \(-0.564468\pi\) |
0.869459 | + | 0.494005i | \(0.164468\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.24773 | − | 1.05525i | −0.148084 | − | 0.0481153i | ||||
\(482\) | 7.52180 | − | 10.3529i | 0.342608 | − | 0.471560i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.94524 | + | 12.4050i | 0.315693 | + | 0.563862i | ||||
\(485\) | 17.4295i | 0.791435i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.03498 | + | 24.7291i | −0.364100 | + | 1.12058i | 0.586443 | + | 0.809991i | \(0.300528\pi\) |
−0.950543 | + | 0.310594i | \(0.899472\pi\) | |||||||
\(488\) | −1.44974 | + | 0.471048i | −0.0656265 | + | 0.0213234i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −21.0661 | − | 28.9950i | −0.951670 | − | 1.30986i | ||||
\(491\) | 2.26569 | + | 6.97309i | 0.102249 | + | 0.314691i | 0.989075 | − | 0.147413i | \(-0.0470947\pi\) |
−0.886826 | + | 0.462104i | \(0.847095\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.06733 | − | 2.22854i | −0.138146 | − | 0.100369i | ||||
\(494\) | 25.3622 | 1.14110 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −26.1057 | −1.17218 | ||||||||
\(497\) | −15.0600 | − | 10.9417i | −0.675533 | − | 0.490804i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.91064 | − | 8.95804i | −0.130298 | − | 0.401017i | 0.864531 | − | 0.502580i | \(-0.167616\pi\) |
−0.994829 | + | 0.101563i | \(0.967616\pi\) | |||||||
\(500\) | −7.81055 | − | 10.7503i | −0.349298 | − | 0.480768i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −11.6115 | + | 3.77281i | −0.518247 | + | 0.168389i | ||||
\(503\) | −10.3211 | + | 31.7652i | −0.460196 | + | 1.41634i | 0.404728 | + | 0.914437i | \(0.367366\pi\) |
−0.864925 | + | 0.501902i | \(0.832634\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 19.3294i | − | 0.860149i | ||||||
\(506\) | 6.04832 | − | 10.3181i | 0.268881 | − | 0.458694i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 16.9424 | − | 23.3193i | 0.751699 | − | 1.03462i | ||||
\(509\) | 19.5002 | + | 6.33601i | 0.864332 | + | 0.280839i | 0.707437 | − | 0.706777i | \(-0.249851\pi\) |
0.156895 | + | 0.987615i | \(0.449851\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −27.5909 | + | 20.0459i | −1.22055 | + | 0.886781i | ||||
\(512\) | 15.0364 | − | 10.9246i | 0.664521 | − | 0.482803i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −24.4213 | − | 7.93496i | −1.07718 | − | 0.349996i | ||||
\(515\) | −1.46996 | + | 2.02322i | −0.0647741 | + | 0.0891539i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.5777 | + | 2.32145i | 0.465206 | + | 0.102097i | ||||
\(518\) | − | 9.80320i | − | 0.430728i | ||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.45881 | − | 4.48976i | 0.0639732 | − | 0.196889i | ||||
\(521\) | −12.4115 | + | 4.03273i | −0.543757 | + | 0.176677i | −0.568000 | − | 0.823029i | \(-0.692282\pi\) |
0.0242430 | + | 0.999706i | \(0.492282\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.85832 | − | 6.68690i | −0.212439 | − | 0.292398i | 0.689478 | − | 0.724307i | \(-0.257840\pi\) |
−0.901917 | + | 0.431909i | \(0.857840\pi\) | |||||||
\(524\) | −6.19018 | − | 19.0514i | −0.270419 | − | 0.832265i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −10.1963 | − | 7.40802i | −0.444578 | − | 0.323005i | ||||
\(527\) | 11.8756 | 0.517310 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.0503 | 0.828275 | ||||||||
\(530\) | −2.25067 | − | 1.63521i | −0.0977628 | − | 0.0710289i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 8.83197 | + | 27.1820i | 0.382915 | + | 1.17849i | ||||
\(533\) | −19.1230 | − | 26.3205i | −0.828308 | − | 1.14007i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.478417 | − | 0.155447i | 0.0206838 | − | 0.00672057i | ||||
\(536\) | −0.835347 | + | 2.57093i | −0.0360815 | + | 0.111047i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 12.5287i | 0.540151i | ||||||||
\(539\) | −40.7532 | + | 36.2100i | −1.75537 | + | 1.55968i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.73469 | − | 7.89312i | 0.246554 | − | 0.339352i | −0.667747 | − | 0.744388i | \(-0.732741\pi\) |
0.914301 | + | 0.405036i | \(0.132741\pi\) | |||||||
\(542\) | −23.5125 | − | 7.63968i | −1.00995 | − | 0.328152i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −11.4843 | + | 8.34383i | −0.492385 | + | 0.357739i | ||||
\(545\) | 14.2701 | − | 10.3678i | 0.611263 | − | 0.444108i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.40406 | + | 2.40572i | 0.316575 | + | 0.102861i | 0.462994 | − | 0.886361i | \(-0.346775\pi\) |
−0.146420 | + | 0.989223i | \(0.546775\pi\) | |||||||
\(548\) | 13.0215 | − | 17.9225i | 0.556250 | − | 0.765613i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −15.9978 | + | 14.2143i | −0.682147 | + | 0.606100i | ||||
\(551\) | − | 7.74667i | − | 0.330019i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.71655 | − | 17.5937i | 0.243093 | − | 0.748162i | ||||
\(554\) | −20.1135 | + | 6.53527i | −0.854541 | + | 0.277657i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.87623 | − | 10.8407i | −0.334026 | − | 0.459748i | ||||
\(557\) | 1.09093 | + | 3.35755i | 0.0462244 | + | 0.142264i | 0.971505 | − | 0.237019i | \(-0.0761705\pi\) |
−0.925281 | + | 0.379283i | \(0.876171\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.38378 | + | 6.81772i | 0.396892 | + | 0.288359i | ||||
\(560\) | 28.5897 | 1.20813 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −39.6298 | −1.67168 | ||||||||
\(563\) | −1.21567 | − | 0.883235i | −0.0512343 | − | 0.0372239i | 0.561873 | − | 0.827223i | \(-0.310081\pi\) |
−0.613108 | + | 0.789999i | \(0.710081\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.18702 | − | 3.65326i | −0.0499381 | − | 0.153694i | ||||
\(566\) | −25.0367 | − | 34.4601i | −1.05237 | − | 1.44847i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.69506 | − | 1.52552i | 0.197000 | − | 0.0640093i | ||||
\(569\) | −4.58518 | + | 14.1117i | −0.192221 | + | 0.591595i | 0.807777 | + | 0.589488i | \(0.200671\pi\) |
−0.999998 | + | 0.00210682i | \(0.999329\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 29.8598i | 1.24960i | 0.780787 | + | 0.624798i | \(0.214819\pi\) | ||||
−0.780787 | + | 0.624798i | \(0.785181\pi\) | |||||||
\(572\) | 12.8118 | + | 2.81177i | 0.535688 | + | 0.117566i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 54.8972 | − | 75.5595i | 2.29136 | − | 3.15379i | ||||
\(575\) | 6.72128 | + | 2.18388i | 0.280297 | + | 0.0910740i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −20.6394 | + | 14.9954i | −0.859228 | + | 0.624266i | −0.927675 | − | 0.373389i | \(-0.878196\pi\) |
0.0684465 | + | 0.997655i | \(0.478196\pi\) | |||||||
\(578\) | −17.6185 | + | 12.8006i | −0.732835 | + | 0.532436i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.50496 | + | 0.813911i | 0.104013 | + | 0.0337958i | ||||
\(581\) | −20.6853 | + | 28.4708i | −0.858170 | + | 1.18117i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.13999 | + | 3.65069i | −0.0886292 | + | 0.151196i | ||||
\(584\) | − | 9.04432i | − | 0.374256i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.951344 | + | 2.92793i | −0.0392996 | + | 0.120952i | ||||
\(587\) | −22.4713 | + | 7.30137i | −0.927491 | + | 0.301360i | −0.733536 | − | 0.679651i | \(-0.762131\pi\) |
−0.193955 | + | 0.981011i | \(0.562131\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 14.2622 | + | 19.6303i | 0.587664 | + | 0.808851i | ||||
\(590\) | 0.0212918 | + | 0.0655293i | 0.000876568 | + | 0.00269780i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.43702 | + | 3.22368i | 0.182360 | + | 0.132493i | ||||
\(593\) | −10.1681 | −0.417553 | −0.208777 | − | 0.977963i | \(-0.566948\pi\) | ||||
−0.208777 | + | 0.977963i | \(0.566948\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −13.0056 | −0.533178 | ||||||||
\(596\) | 0.0423030 | + | 0.0307349i | 0.00173280 | + | 0.00125895i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.40988 | − | 10.4945i | −0.139441 | − | 0.429154i | ||||
\(599\) | 3.58279 | + | 4.93129i | 0.146389 | + | 0.201487i | 0.875914 | − | 0.482467i | \(-0.160259\pi\) |
−0.729525 | + | 0.683954i | \(0.760259\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.3376 | − | 4.33365i | 0.544053 | − | 0.176773i | −0.0240806 | − | 0.999710i | \(-0.507666\pi\) |
0.568133 | + | 0.822937i | \(0.307666\pi\) | |||||||
\(602\) | −10.2896 | + | 31.6680i | −0.419371 | + | 1.29069i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.55632i | 0.144705i | ||||||||
\(605\) | −9.70538 | − | 8.97363i | −0.394580 | − | 0.364830i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.497560 | + | 0.684833i | −0.0201953 | + | 0.0277965i | −0.818995 | − | 0.573800i | \(-0.805469\pi\) |
0.798800 | + | 0.601597i | \(0.205469\pi\) | |||||||
\(608\) | −27.5845 | − | 8.96276i | −1.11870 | − | 0.363488i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.09439 | + | 1.52167i | −0.0847996 | + | 0.0616105i | ||||
\(611\) | 8.08321 | − | 5.87280i | 0.327012 | − | 0.237588i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −24.1513 | − | 7.84724i | −0.975462 | − | 0.316947i | −0.222443 | − | 0.974946i | \(-0.571403\pi\) |
−0.753019 | + | 0.657999i | \(0.771403\pi\) | |||||||
\(614\) | 2.50937 | − | 3.45385i | 0.101270 | − | 0.139386i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.01938 | − | 20.5152i | −0.0813631 | − | 0.826581i | ||||
\(617\) | 10.0839i | 0.405962i | 0.979183 | + | 0.202981i | \(0.0650630\pi\) | ||||
−0.979183 | + | 0.202981i | \(0.934937\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −8.05024 | + | 24.7761i | −0.323566 | + | 0.995835i | 0.648517 | + | 0.761200i | \(0.275389\pi\) |
−0.972084 | + | 0.234635i | \(0.924611\pi\) | |||||||
\(620\) | −7.84611 | + | 2.54935i | −0.315107 | + | 0.102385i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 11.3121 | + | 15.5698i | 0.453574 | + | 0.624291i | ||||
\(623\) | −15.3903 | − | 47.3664i | −0.616598 | − | 1.89769i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.38931 | − | 3.18902i | −0.175573 | − | 0.127561i | ||||
\(626\) | 45.9690 | 1.83729 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.72689 | 0.108815 | ||||||||
\(629\) | −2.01842 | − | 1.46647i | −0.0804798 | − | 0.0584720i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.44605 | + | 10.6058i | 0.137185 | + | 0.422212i | 0.995923 | − | 0.0902022i | \(-0.0287513\pi\) |
−0.858739 | + | 0.512414i | \(0.828751\pi\) | |||||||
\(632\) | 2.88362 | + | 3.96897i | 0.114704 | + | 0.157877i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 46.2703 | − | 15.0341i | 1.83763 | − | 0.597081i | ||||
\(635\) | −8.28146 | + | 25.4877i | −0.328640 | + | 1.01145i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 50.2973i | 1.99285i | ||||||||
\(638\) | 2.18783 | − | 9.96884i | 0.0866172 | − | 0.394670i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6.80053 | + | 9.36013i | −0.268815 | + | 0.369991i | ||||
\(641\) | 10.4988 | + | 3.41127i | 0.414679 | + | 0.134737i | 0.508923 | − | 0.860812i | \(-0.330044\pi\) |
−0.0942448 | + | 0.995549i | \(0.530044\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −29.7234 | + | 21.5953i | −1.17218 | + | 0.851637i | −0.991268 | − | 0.131863i | \(-0.957904\pi\) |
−0.180909 | + | 0.983500i | \(0.557904\pi\) | |||||||
\(644\) | 10.0601 | − | 7.30909i | 0.396424 | − | 0.288019i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 17.6228 | + | 5.72600i | 0.693360 | + | 0.225286i | ||||
\(647\) | 1.59821 | − | 2.19975i | 0.0628321 | − | 0.0864810i | −0.776445 | − | 0.630186i | \(-0.782979\pi\) |
0.839277 | + | 0.543705i | \(0.182979\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.0960246 | − | 0.0419955i | 0.00376930 | − | 0.00164847i | ||||
\(650\) | 19.7443i | 0.774436i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.82952 | − | 17.9414i | 0.228301 | − | 0.702640i | ||||
\(653\) | 42.0798 | − | 13.6726i | 1.64671 | − | 0.535048i | 0.668686 | − | 0.743545i | \(-0.266857\pi\) |
0.978023 | + | 0.208496i | \(0.0668570\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.9473 | + | 15.0677i | 0.427747 | + | 0.588743i | ||||
\(656\) | 16.1465 | + | 49.6939i | 0.630416 | + | 1.94022i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 23.2048 | + | 16.8593i | 0.904618 | + | 0.657244i | ||||
\(659\) | −9.17428 | −0.357379 | −0.178690 | − | 0.983905i | \(-0.557186\pi\) | ||||
−0.178690 | + | 0.983905i | \(0.557186\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.89631 | −0.384922 | −0.192461 | − | 0.981305i | \(-0.561647\pi\) | ||||
−0.192461 | + | 0.981305i | \(0.561647\pi\) | |||||||
\(662\) | −25.4307 | − | 18.4765i | −0.988391 | − | 0.718108i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.88398 | − | 8.87599i | −0.111920 | − | 0.344455i | ||||
\(665\) | −15.6193 | − | 21.4981i | −0.605691 | − | 0.833662i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.20547 | + | 1.04152i | −0.124116 | + | 0.0403278i | ||||
\(668\) | −0.356362 | + | 1.09677i | −0.0137880 | + | 0.0424352i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.59095i | 0.177364i | ||||||||
\(671\) | 2.61556 | + | 2.94372i | 0.100972 | + | 0.113641i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −10.3937 | + | 14.3057i | −0.400649 | + | 0.551446i | −0.960907 | − | 0.276872i | \(-0.910702\pi\) |
0.560258 | + | 0.828318i | \(0.310702\pi\) | |||||||
\(674\) | −22.4408 | − | 7.29146i | −0.864387 | − | 0.280856i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.80243 | + | 2.76263i | −0.146247 | + | 0.106255i | ||||
\(677\) | −9.62387 | + | 6.99215i | −0.369875 | + | 0.268730i | −0.757159 | − | 0.653230i | \(-0.773413\pi\) |
0.387284 | + | 0.921961i | \(0.373413\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 66.7830 | + | 21.6991i | 2.56290 | + | 0.832735i | ||||
\(680\) | 2.02729 | − | 2.79033i | 0.0777432 | − | 0.107004i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 12.8094 | + | 29.2892i | 0.490496 | + | 1.12154i | ||||
\(683\) | − | 18.2564i | − | 0.698561i | −0.937018 | − | 0.349280i | \(-0.886426\pi\) | ||
0.937018 | − | 0.349280i | \(-0.113574\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.36490 | + | 19.5892i | −0.243190 | + | 0.748463i | ||||
\(686\) | −78.8425 | + | 25.6175i | −3.01022 | + | 0.978080i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −10.9496 | − | 15.0708i | −0.417450 | − | 0.574571i | ||||
\(689\) | 1.20647 | + | 3.71312i | 0.0459627 | + | 0.141459i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −14.5818 | − | 10.5943i | −0.554719 | − | 0.403027i | 0.274804 | − | 0.961500i | \(-0.411387\pi\) |
−0.829522 | + | 0.558474i | \(0.811387\pi\) | |||||||
\(692\) | −17.1216 | −0.650864 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 38.5698 | 1.46409 | ||||||||
\(695\) | 10.0792 | + | 7.32295i | 0.382325 | + | 0.277775i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.34515 | − | 22.6060i | −0.278217 | − | 0.856265i | ||||
\(698\) | 9.95189 | + | 13.6976i | 0.376684 | + | 0.518462i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −21.1610 | + | 6.87562i | −0.799810 | + | 0.259874i | ||||
\(701\) | −2.60431 | + | 8.01524i | −0.0983635 | + | 0.302732i | −0.988116 | − | 0.153712i | \(-0.950877\pi\) |
0.889752 | + | 0.456444i | \(0.150877\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 5.09762i | − | 0.192260i | ||||||
\(704\) | −4.84270 | − | 2.83873i | −0.182516 | − | 0.106989i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 9.72836 | − | 13.3899i | 0.366132 | − | 0.503937i | ||||
\(707\) | −74.0626 | − | 24.0644i | −2.78541 | − | 0.905035i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −16.7573 | + | 12.1749i | −0.629333 | + | 0.457237i | −0.856169 | − | 0.516696i | \(-0.827162\pi\) |
0.226836 | + | 0.973933i | \(0.427162\pi\) | |||||||
\(710\) | 6.78282 | − | 4.92801i | 0.254555 | − | 0.184945i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.5614 | + | 4.08144i | 0.470758 | + | 0.152959i | ||||
\(713\) | 6.20521 | − | 8.54074i | 0.232387 | − | 0.319853i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −12.1367 | + | 1.19465i | −0.453885 | + | 0.0446774i | ||||
\(716\) | 26.0358i | 0.973002i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 4.38552 | − | 13.4972i | 0.163666 | − | 0.503712i | ||||
\(719\) | −34.3009 | + | 11.1450i | −1.27921 | + | 0.415640i | −0.868301 | − | 0.496038i | \(-0.834788\pi\) |
−0.410906 | + | 0.911678i | \(0.634788\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.92214 | + | 8.15112i | 0.220552 | + | 0.303564i | ||||
\(722\) | 1.04584 | + | 3.21875i | 0.0389220 | + | 0.119790i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.70137 | + | 3.41574i | 0.174725 | + | 0.126945i | ||||
\(725\) | 6.03072 | 0.223975 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −20.9857 | −0.778316 | −0.389158 | − | 0.921171i | \(-0.627234\pi\) | ||||
−0.389158 | + | 0.921171i | \(0.627234\pi\) | |||||||
\(728\) | −15.3868 | − | 11.1792i | −0.570273 | − | 0.414327i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −4.74653 | − | 14.6083i | −0.175677 | − | 0.540678i | ||||
\(731\) | 4.98104 | + | 6.85581i | 0.184230 | + | 0.253571i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 38.6350 | − | 12.5533i | 1.42701 | − | 0.463665i | 0.509191 | − | 0.860653i | \(-0.329945\pi\) |
0.917824 | + | 0.396988i | \(0.129945\pi\) | |||||||
\(734\) | −13.7399 | + | 42.2871i | −0.507149 | + | 1.56084i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 12.6191i | 0.465147i | ||||||||
\(737\) | 6.94971 | − | 0.684083i | 0.255996 | − | 0.0251985i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.159730 | + | 0.219850i | −0.00587578 | + | 0.00808731i | −0.811945 | − | 0.583734i | \(-0.801591\pi\) |
0.806069 | + | 0.591822i | \(0.201591\pi\) | |||||||
\(740\) | 1.64836 | + | 0.535586i | 0.0605951 | + | 0.0196885i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −9.06745 | + | 6.58789i | −0.332877 | + | 0.241849i | ||||
\(743\) | 16.6356 | − | 12.0864i | 0.610300 | − | 0.443409i | −0.239220 | − | 0.970965i | \(-0.576892\pi\) |
0.849520 | + | 0.527557i | \(0.176892\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.0462368 | − | 0.0150232i | −0.00169398 | − | 0.000550409i | ||||
\(746\) | 3.05169 | − | 4.20029i | 0.111730 | − | 0.153783i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 8.26740 | + | 4.84624i | 0.302286 | + | 0.177196i | ||||
\(749\) | − | 2.02663i | − | 0.0740514i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.1057 | + | 49.5682i | −0.587705 | + | 1.80877i | 0.000422486 | 1.00000i | \(0.499866\pi\) | |
−0.588127 | + | 0.808769i | \(0.700134\pi\) | |||||||
\(752\) | −15.2613 | + | 4.95871i | −0.556524 | + | 0.180825i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −5.53477 | − | 7.61795i | −0.201564 | − | 0.277430i | ||||
\(755\) | −1.02176 | − | 3.14467i | −0.0371858 | − | 0.114446i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 30.2153 | + | 21.9527i | 1.09819 | + | 0.797884i | 0.980764 | − | 0.195197i | \(-0.0625347\pi\) |
0.117429 | + | 0.993081i | \(0.462535\pi\) | |||||||
\(758\) | 53.0990 | 1.92864 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 7.04711 | 0.255625 | ||||||||
\(761\) | −36.1152 | − | 26.2392i | −1.30918 | − | 0.951171i | −1.00000 | 0.000166228i | \(-0.999947\pi\) | |
−0.309175 | − | 0.951005i | \(-0.600053\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −21.9596 | − | 67.5847i | −0.794991 | − | 2.44673i | ||||
\(764\) | −13.5025 | − | 18.5846i | −0.488503 | − | 0.672367i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −49.1124 | + | 15.9576i | −1.77450 | + | 0.576571i | ||||
\(767\) | 0.0298807 | − | 0.0919633i | 0.00107893 | − | 0.00332060i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 22.3246i | 0.805047i | 0.915410 | + | 0.402524i | \(0.131867\pi\) | ||||
−0.915410 | + | 0.402524i | \(0.868133\pi\) | |||||||
\(770\) | −14.0282 | − | 32.0762i | −0.505542 | − | 1.15595i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.67883 | + | 6.43986i | −0.168395 | + | 0.231776i | ||||
\(773\) | 19.1268 | + | 6.21468i | 0.687944 | + | 0.223526i | 0.632070 | − | 0.774911i | \(-0.282206\pi\) |
0.0558738 | + | 0.998438i | \(0.482206\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −15.2820 | + | 11.1030i | −0.548946 | + | 0.398832i | ||||
\(776\) | −15.0655 | + | 10.9458i | −0.540822 | + | 0.392930i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 24.6455 | + | 8.00781i | 0.883584 | + | 0.287094i | ||||
\(779\) | 28.5463 | − | 39.2906i | 1.02278 | − | 1.40773i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.47063 | − | 9.53343i | −0.303103 | − | 0.341133i | ||||
\(782\) | − | 8.06192i | − | 0.288294i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 24.9624 | − | 76.8265i | 0.891516 | − | 2.74380i | ||||
\(785\) | −2.41124 | + | 0.783461i | −0.0860610 | + | 0.0279629i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −20.4658 | − | 28.1688i | −0.729527 | − | 1.00411i | −0.999153 | − | 0.0411431i | \(-0.986900\pi\) |
0.269626 | − | 0.962965i | \(-0.413100\pi\) | |||||||
\(788\) | −8.99021 | − | 27.6690i | −0.320263 | − | 0.985668i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 6.74055 | + | 4.89730i | 0.239818 | + | 0.174238i | ||||
\(791\) | −15.4756 | −0.550249 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.63312 | 0.129016 | ||||||||
\(794\) | 3.23961 | + | 2.35372i | 0.114970 | + | 0.0835303i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.71701 | + | 11.4398i | 0.131746 | + | 0.405473i | ||||
\(797\) | 0.462428 | + | 0.636478i | 0.0163800 | + | 0.0225452i | 0.817128 | − | 0.576456i | \(-0.195565\pi\) |
−0.800748 | + | 0.599001i | \(0.795565\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.94247 | − | 2.25574i | 0.245607 | − | 0.0798025i | ||||
\(800\) | 6.97744 | − | 21.4743i | 0.246690 | − | 0.759233i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | − | 57.2351i | − | 2.02104i | ||||||
\(803\) | −21.4066 | + | 9.36196i | −0.755421 | + | 0.330376i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −6.79565 | + | 9.35341i | −0.239515 | + | 0.329665i | ||||
\(806\) | 28.0505 | + | 9.11415i | 0.988036 | + | 0.321032i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 16.7078 | − | 12.1389i | 0.587777 | − | 0.427045i | ||||
\(809\) | 24.9035 | − | 18.0934i | 0.875560 | − | 0.636131i | −0.0565132 | − | 0.998402i | \(-0.517998\pi\) |
0.932073 | + | 0.362270i | \(0.117998\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 41.4535 | + | 13.4691i | 1.45563 | + | 0.472963i | 0.926732 | − | 0.375723i | \(-0.122606\pi\) |
0.528898 | + | 0.848686i | \(0.322606\pi\) | |||||||
\(812\) | 6.23716 | − | 8.58472i | 0.218881 | − | 0.301264i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.43968 | − | 6.55989i | 0.0504608 | − | 0.229924i | ||||
\(815\) | 17.5395i | 0.614383i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5.35052 | + | 16.4672i | −0.187191 | + | 0.576115i | ||||
\(818\) | −11.6971 | + | 3.80063i | −0.408981 | + | 0.132886i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.70574 | + | 13.3588i | 0.338939 | + | 0.466510i | ||||
\(821\) | 12.0394 | + | 37.0534i | 0.420178 | + | 1.29317i | 0.907537 | + | 0.419972i | \(0.137960\pi\) |
−0.487359 | + | 0.873202i | \(0.662040\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −30.4030 | − | 22.0890i | −1.05978 | − | 0.769975i | −0.0857325 | − | 0.996318i | \(-0.527323\pi\) |
−0.974048 | + | 0.226343i | \(0.927323\pi\) | |||||||
\(824\) | −2.67195 | −0.0930816 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.277589 | 0.00965857 | ||||||||
\(827\) | 36.8905 | + | 26.8025i | 1.28281 | + | 0.932015i | 0.999634 | − | 0.0270532i | \(-0.00861234\pi\) |
0.283175 | + | 0.959068i | \(0.408612\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.83146 | + | 27.1804i | 0.306729 | + | 0.944016i | 0.979026 | + | 0.203734i | \(0.0653078\pi\) |
−0.672297 | + | 0.740282i | \(0.734692\pi\) | |||||||
\(830\) | −9.31637 | − | 12.8229i | −0.323376 | − | 0.445089i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.92553 | + | 1.60040i | −0.170762 | + | 0.0554839i | ||||
\(833\) | −11.3556 | + | 34.9488i | −0.393447 | + | 1.21090i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 1.07220i | − | 0.0371051i | ||||||
\(836\) | 1.91808 | + | 19.4861i | 0.0663382 | + | 0.673941i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 30.5125 | − | 41.9968i | 1.05404 | − | 1.45076i | ||||
\(839\) | −5.41296 | − | 1.75878i | −0.186876 | − | 0.0607197i | 0.214084 | − | 0.976815i | \(-0.431323\pi\) |
−0.400960 | + | 0.916096i | \(0.631323\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.1347 | − | 15.3552i | 0.728781 | − | 0.529491i | ||||
\(842\) | −8.21078 | + | 5.96548i | −0.282962 | + | 0.205584i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 17.2223 | + | 5.59587i | 0.592816 | + | 0.192618i | ||||
\(845\) | 2.56856 | − | 3.53532i | 0.0883612 | − | 0.121619i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −46.4662 | + | 26.0153i | −1.59660 | + | 0.893895i | ||||
\(848\) | − | 6.27037i | − | 0.215325i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.45764 | + | 13.7192i | −0.152896 | + | 0.470565i | ||||
\(851\) | −2.10932 | + | 0.685361i | −0.0723067 | + | 0.0234939i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 14.7319 | + | 20.2767i | 0.504410 | + | 0.694261i | 0.982964 | − | 0.183797i | \(-0.0588390\pi\) |
−0.478554 | + | 0.878058i | \(0.658839\pi\) | |||||||
\(854\) | 3.22297 | + | 9.91929i | 0.110288 | + | 0.339431i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.434810 | + | 0.315908i | 0.0148615 | + | 0.0107975i | ||||
\(857\) | 35.9164 | 1.22688 | 0.613440 | − | 0.789741i | \(-0.289785\pi\) | ||||
0.613440 | + | 0.789741i | \(0.289785\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.7324 | −0.536783 | −0.268391 | − | 0.963310i | \(-0.586492\pi\) | ||||
−0.268391 | + | 0.963310i | \(0.586492\pi\) | |||||||
\(860\) | −4.76268 | − | 3.46029i | −0.162406 | − | 0.117995i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 10.9385 | + | 33.6654i | 0.372568 | + | 1.14665i | ||||
\(863\) | 16.0883 | + | 22.1436i | 0.547652 | + | 0.753778i | 0.989691 | − | 0.143217i | \(-0.0457448\pi\) |
−0.442039 | + | 0.896996i | \(0.645745\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.1397 | − | 4.91919i | 0.514765 | − | 0.167257i | ||||
\(866\) | 12.6457 | − | 38.9194i | 0.429718 | − | 1.32254i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 33.2370i | 1.12814i | ||||||||
\(869\) | 6.40906 | − | 10.9335i | 0.217413 | − | 0.370893i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.78704 | − | 5.21242i | 0.128319 | − | 0.176616i | ||||
\(872\) | 17.9232 | + | 5.82361i | 0.606957 | + | 0.197212i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 13.3263 | − | 9.68210i | 0.450768 | − | 0.327502i | ||||
\(875\) | 40.2682 | − | 29.2565i | 1.36131 | − | 0.989051i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 49.4957 | + | 16.0821i | 1.67135 | + | 0.543055i | 0.983203 | − | 0.182516i | \(-0.0584242\pi\) |
0.688147 | + | 0.725571i | \(0.258424\pi\) | |||||||
\(878\) | 31.9824 | − | 44.0200i | 1.07935 | − | 1.48560i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 19.1310 | + | 4.19863i | 0.644906 | + | 0.141536i | ||||
\(881\) | 39.9758i | 1.34682i | 0.739270 | + | 0.673409i | \(0.235171\pi\) | ||||
−0.739270 | + | 0.673409i | \(0.764829\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.74452 | + | 17.6798i | −0.193318 | + | 0.594973i | 0.806674 | + | 0.590997i | \(0.201266\pi\) |
−0.999992 | + | 0.00397571i | \(0.998734\pi\) | |||||||
\(884\) | 8.40880 | − | 2.73218i | 0.282818 | − | 0.0918933i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 33.6468 | + | 46.3108i | 1.13039 | + | 1.55584i | ||||
\(887\) | 16.8498 | + | 51.8583i | 0.565760 | + | 1.74123i | 0.665681 | + | 0.746236i | \(0.268141\pi\) |
−0.0999207 | + | 0.994995i | \(0.531859\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 87.3486 | + | 63.4625i | 2.92958 | + | 2.12846i | ||||
\(890\) | 22.4310 | 0.751890 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −20.8507 | −0.698132 | ||||||||
\(893\) | 12.0664 | + | 8.76675i | 0.403787 | + | 0.293368i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.48032 | − | 23.0221i | −0.250040 | − | 0.769543i | ||||
\(896\) | 27.3978 | + | 37.7099i | 0.915297 | + | 1.25980i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 65.5777 | − | 21.3075i | 2.18836 | − | 0.711040i | ||||
\(899\) | 2.78384 | − | 8.56777i | 0.0928461 | − | 0.285751i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.85243i | 0.0950281i | ||||||||
\(902\) | 47.8314 | − | 42.4991i | 1.59261 | − | 1.41507i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.41231 | − | 3.32027i | 0.0802324 | − | 0.110430i | ||||
\(905\) | −5.13855 | − | 1.66962i | −0.170811 | − | 0.0554999i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.0586 | − | 7.30800i | 0.333990 | − | 0.242658i | −0.408132 | − | 0.912923i | \(-0.633820\pi\) |
0.742122 | + | 0.670265i | \(0.233820\pi\) | |||||||
\(908\) | −15.3860 | + | 11.1786i | −0.510603 | + | 0.370975i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −30.7195 | − | 9.98139i | −1.01834 | − | 0.330880i | ||||
\(911\) | −26.4433 | + | 36.3961i | −0.876106 | + | 1.20586i | 0.101379 | + | 0.994848i | \(0.467675\pi\) |
−0.977484 | + | 0.211008i | \(0.932325\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −18.0229 | + | 16.0137i | −0.596471 | + | 0.529976i | ||||
\(914\) | − | 71.1759i | − | 2.35429i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 8.86599 | − | 27.2867i | 0.292941 | − | 0.901578i | ||||
\(917\) | 71.3622 | − | 23.1870i | 2.35659 | − | 0.765702i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 13.6185 | + | 18.7442i | 0.449232 | + | 0.618315i | 0.972232 | − | 0.234017i | \(-0.0751872\pi\) |
−0.523000 | + | 0.852333i | \(0.675187\pi\) | |||||||
\(920\) | −0.947464 | − | 2.91599i | −0.0312370 | − | 0.0961375i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 25.7659 | + | 18.7200i | 0.848555 | + | 0.616512i | ||||
\(923\) | −11.7661 | −0.387285 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.96846 | 0.130482 | ||||||||
\(926\) | 7.44610 | + | 5.40991i | 0.244694 | + | 0.177781i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.32763 | + | 10.2414i | 0.109235 | + | 0.336190i | ||||
\(929\) | 6.79920 | + | 9.35830i | 0.223075 | + | 0.307036i | 0.905855 | − | 0.423588i | \(-0.139229\pi\) |
−0.682781 | + | 0.730624i | \(0.739229\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −71.4077 | + | 23.2018i | −2.34029 | + | 0.760407i | ||||
\(932\) | 2.06420 | − | 6.35296i | 0.0676151 | − | 0.208098i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 30.7712i | − | 1.00687i | ||||||
\(935\) | −8.70280 | − | 1.90998i | −0.284612 | − | 0.0624630i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 15.1544 | − | 20.8582i | 0.495071 | − | 0.681407i | −0.486242 | − | 0.873824i | \(-0.661633\pi\) |
0.981313 | + | 0.192417i | \(0.0616326\pi\) | |||||||
\(938\) | 17.5907 | + | 5.71555i | 0.574356 | + | 0.186619i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.10258 | + | 2.98070i | −0.133811 | + | 0.0972197i | ||||
\(941\) | −47.8599 | + | 34.7722i | −1.56019 | + | 1.13354i | −0.624331 | + | 0.781160i | \(0.714628\pi\) |
−0.935856 | + | 0.352383i | \(0.885372\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −20.0959 | − | 6.52954i | −0.654411 | − | 0.212631i | ||||
\(944\) | −0.0912824 | + | 0.125639i | −0.00297099 | + | 0.00408921i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −11.5361 | + | 19.6798i | −0.375069 | + | 0.639845i | ||||
\(947\) | − | 0.120799i | − | 0.00392545i | −0.999998 | − | 0.00196272i | \(-0.999375\pi\) | ||
0.999998 | − | 0.00196272i | \(-0.000624755\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.66124 | + | 20.5012i | −0.216233 | + | 0.665497i | ||||
\(950\) | −28.0312 | + | 9.10789i | −0.909453 | + | 0.295499i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −8.16752 | − | 11.2416i | −0.264711 | − | 0.364343i | ||||
\(953\) | −2.50261 | − | 7.70223i | −0.0810674 | − | 0.249500i | 0.902306 | − | 0.431097i | \(-0.141873\pi\) |
−0.983373 | + | 0.181597i | \(0.941873\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 17.2791 | + | 12.5540i | 0.559138 | + | 0.406237i | ||||
\(956\) | 17.6615 | 0.571213 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 32.8055 | 1.05990 | ||||||||
\(959\) | 67.1337 | + | 48.7755i | 2.16786 | + | 1.57504i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.859922 | − | 2.64657i | −0.0277394 | − | 0.0853732i | ||||
\(962\) | −3.64210 | − | 5.01292i | −0.117426 | − | 0.161623i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 8.66885 | − | 2.81668i | 0.279205 | − | 0.0907192i | ||||
\(965\) | 2.28702 | − | 7.03871i | 0.0736216 | − | 0.226584i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 9.94567i | − | 0.319831i | −0.987131 | − | 0.159916i | \(-0.948878\pi\) | ||
0.987131 | − | 0.159916i | \(-0.0511222\pi\) | |||||||
\(968\) | 1.66154 | − | 14.0245i | 0.0534040 | − | 0.450763i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −18.5893 | + | 25.5860i | −0.596867 | + | 0.821518i | ||||
\(971\) | −36.6171 | − | 11.8976i | −1.17510 | − | 0.381813i | −0.344555 | − | 0.938766i | \(-0.611970\pi\) |
−0.830544 | + | 0.556953i | \(0.811970\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 40.6068 | − | 29.5025i | 1.30179 | − | 0.945808i | ||||
\(974\) | −38.1698 | + | 27.7320i | −1.22304 | + | 0.888589i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5.54940 | − | 1.80311i | −0.177632 | − | 0.0577161i | ||||
\(977\) | 11.9388 | − | 16.4324i | 0.381956 | − | 0.525718i | −0.574145 | − | 0.818753i | \(-0.694666\pi\) |
0.956101 | + | 0.293036i | \(0.0946656\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.34238 | − | 33.9558i | −0.106823 | − | 1.08523i | ||||
\(980\) | − | 25.5281i | − | 0.815464i | ||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.11112 | + | 12.6527i | −0.131191 | + | 0.403765i | ||||
\(983\) | −9.24723 | + | 3.00461i | −0.294941 | + | 0.0958321i | −0.452750 | − | 0.891638i | \(-0.649557\pi\) |
0.157809 | + | 0.987470i | \(0.449557\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 15.8991 | + | 21.8833i | 0.506589 | + | 0.697260i | ||||
\(986\) | −2.12591 | − | 6.54287i | −0.0677027 | − | 0.208367i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 14.6150 | + | 10.6184i | 0.464964 | + | 0.337816i | ||||
\(989\) | 7.53327 | 0.239544 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −22.9196 | −0.728065 | −0.364032 | − | 0.931386i | \(-0.618600\pi\) | ||||
−0.364032 | + | 0.931386i | \(0.618600\pi\) | |||||||
\(992\) | −27.2875 | − | 19.8255i | −0.866378 | − | 0.629460i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −10.4378 | − | 32.1242i | −0.331067 | − | 1.01892i | ||||
\(995\) | −6.57352 | − | 9.04768i | −0.208395 | − | 0.286831i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −20.4494 | + | 6.64441i | −0.647639 | + | 0.210431i | −0.614373 | − | 0.789016i | \(-0.710591\pi\) |
−0.0332659 | + | 0.999447i | \(0.510591\pi\) | |||||||
\(998\) | 5.28139 | − | 16.2544i | 0.167179 | − | 0.514525i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 891.2.k.a.161.16 | 80 | ||
3.2 | odd | 2 | inner | 891.2.k.a.161.5 | 80 | ||
9.2 | odd | 6 | 99.2.p.a.95.3 | yes | 80 | ||
9.4 | even | 3 | 99.2.p.a.29.3 | ✓ | 80 | ||
9.5 | odd | 6 | 297.2.t.a.62.8 | 80 | |||
9.7 | even | 3 | 297.2.t.a.260.8 | 80 | |||
11.8 | odd | 10 | inner | 891.2.k.a.404.5 | 80 | ||
33.8 | even | 10 | inner | 891.2.k.a.404.16 | 80 | ||
99.41 | even | 30 | 297.2.t.a.8.8 | 80 | |||
99.52 | odd | 30 | 297.2.t.a.206.8 | 80 | |||
99.74 | even | 30 | 99.2.p.a.41.3 | yes | 80 | ||
99.85 | odd | 30 | 99.2.p.a.74.3 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.p.a.29.3 | ✓ | 80 | 9.4 | even | 3 | ||
99.2.p.a.41.3 | yes | 80 | 99.74 | even | 30 | ||
99.2.p.a.74.3 | yes | 80 | 99.85 | odd | 30 | ||
99.2.p.a.95.3 | yes | 80 | 9.2 | odd | 6 | ||
297.2.t.a.8.8 | 80 | 99.41 | even | 30 | |||
297.2.t.a.62.8 | 80 | 9.5 | odd | 6 | |||
297.2.t.a.206.8 | 80 | 99.52 | odd | 30 | |||
297.2.t.a.260.8 | 80 | 9.7 | even | 3 | |||
891.2.k.a.161.5 | 80 | 3.2 | odd | 2 | inner | ||
891.2.k.a.161.16 | 80 | 1.1 | even | 1 | trivial | ||
891.2.k.a.404.5 | 80 | 11.8 | odd | 10 | inner | ||
891.2.k.a.404.16 | 80 | 33.8 | even | 10 | inner |