Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.13 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30553 | + | 0.349816i | −0.923151 | + | 0.247358i | −0.688932 | − | 0.724826i | \(-0.741920\pi\) |
−0.234219 | + | 0.972184i | \(0.575253\pi\) | |||||||
\(3\) | 1.70101 | − | 0.326450i | 0.982078 | − | 0.188476i | ||||
\(4\) | −0.150007 | + | 0.0866067i | −0.0750036 | + | 0.0433034i | ||||
\(5\) | −1.14755 | + | 1.91915i | −0.513199 | + | 0.858270i | ||||
\(6\) | −2.10652 | + | 1.02123i | −0.859985 | + | 0.416916i | ||||
\(7\) | 2.22736 | − | 1.42789i | 0.841863 | − | 0.539691i | ||||
\(8\) | 2.07698 | − | 2.07698i | 0.734322 | − | 0.734322i | ||||
\(9\) | 2.78686 | − | 1.11059i | 0.928953 | − | 0.370197i | ||||
\(10\) | 0.826810 | − | 2.90694i | 0.261460 | − | 0.919256i | ||||
\(11\) | −1.12829 | −0.340193 | −0.170097 | − | 0.985427i | \(-0.554408\pi\) | ||||
−0.170097 | + | 0.985427i | \(0.554408\pi\) | |||||||
\(12\) | −0.226891 | + | 0.196289i | −0.0654977 | + | 0.0566637i | ||||
\(13\) | 1.91057 | − | 0.511937i | 0.529898 | − | 0.141986i | 0.0160568 | − | 0.999871i | \(-0.494889\pi\) |
0.513841 | + | 0.857885i | \(0.328222\pi\) | |||||||
\(14\) | −2.40839 | + | 2.64332i | −0.643670 | + | 0.706458i | ||||
\(15\) | −1.32548 | + | 3.63911i | −0.342238 | + | 0.939613i | ||||
\(16\) | −1.81179 | + | 3.13810i | −0.452946 | + | 0.784526i | ||||
\(17\) | 1.86853 | + | 6.97347i | 0.453186 | + | 1.69131i | 0.693366 | + | 0.720585i | \(0.256127\pi\) |
−0.240180 | + | 0.970728i | \(0.577206\pi\) | |||||||
\(18\) | −3.24983 | + | 2.42480i | −0.765993 | + | 0.571531i | ||||
\(19\) | 2.43358 | + | 4.21509i | 0.558302 | + | 0.967008i | 0.997638 | + | 0.0686851i | \(0.0218804\pi\) |
−0.439336 | + | 0.898323i | \(0.644786\pi\) | |||||||
\(20\) | 0.00592911 | − | 0.387272i | 0.00132579 | − | 0.0865966i | ||||
\(21\) | 3.32262 | − | 3.15597i | 0.725056 | − | 0.688690i | ||||
\(22\) | 1.47302 | − | 0.394695i | 0.314050 | − | 0.0841493i | ||||
\(23\) | −2.88346 | + | 2.88346i | −0.601244 | + | 0.601244i | −0.940643 | − | 0.339399i | \(-0.889776\pi\) |
0.339399 | + | 0.940643i | \(0.389776\pi\) | |||||||
\(24\) | 2.85492 | − | 4.21098i | 0.582759 | − | 0.859563i | ||||
\(25\) | −2.36627 | − | 4.40463i | −0.473254 | − | 0.880926i | ||||
\(26\) | −2.31523 | + | 1.33670i | −0.454055 | + | 0.262148i | ||||
\(27\) | 4.37792 | − | 2.79889i | 0.842531 | − | 0.538647i | ||||
\(28\) | −0.210455 | + | 0.407098i | −0.0397723 | + | 0.0769343i | ||||
\(29\) | 4.04552 | − | 2.33568i | 0.751235 | − | 0.433726i | −0.0749051 | − | 0.997191i | \(-0.523865\pi\) |
0.826140 | + | 0.563465i | \(0.190532\pi\) | |||||||
\(30\) | 0.457438 | − | 5.21465i | 0.0835164 | − | 0.952060i | ||||
\(31\) | 5.61224 | − | 3.24023i | 1.00799 | − | 0.581962i | 0.0973864 | − | 0.995247i | \(-0.468952\pi\) |
0.910602 | + | 0.413284i | \(0.135618\pi\) | |||||||
\(32\) | −0.252867 | + | 0.943713i | −0.0447010 | + | 0.166826i | ||||
\(33\) | −1.91924 | + | 0.368332i | −0.334096 | + | 0.0641183i | ||||
\(34\) | −4.87886 | − | 8.45044i | −0.836718 | − | 1.44924i | ||||
\(35\) | 0.184331 | + | 5.91321i | 0.0311577 | + | 0.999514i | ||||
\(36\) | −0.321865 | + | 0.407957i | −0.0536441 | + | 0.0679929i | ||||
\(37\) | −0.402066 | + | 1.50053i | −0.0660993 | + | 0.246686i | −0.991068 | − | 0.133357i | \(-0.957424\pi\) |
0.924969 | + | 0.380043i | \(0.124091\pi\) | |||||||
\(38\) | −4.65163 | − | 4.65163i | −0.754594 | − | 0.754594i | ||||
\(39\) | 3.08278 | − | 1.49452i | 0.493640 | − | 0.239314i | ||||
\(40\) | 1.60260 | + | 6.36945i | 0.253393 | + | 1.00710i | ||||
\(41\) | −3.98694 | − | 2.30186i | −0.622655 | − | 0.359490i | 0.155247 | − | 0.987876i | \(-0.450383\pi\) |
−0.777902 | + | 0.628386i | \(0.783716\pi\) | |||||||
\(42\) | −3.23378 | + | 5.28253i | −0.498984 | + | 0.815113i | ||||
\(43\) | −1.75653 | − | 0.470661i | −0.267869 | − | 0.0717752i | 0.122385 | − | 0.992483i | \(-0.460946\pi\) |
−0.390253 | + | 0.920708i | \(0.627613\pi\) | |||||||
\(44\) | 0.169252 | − | 0.0977178i | 0.0255157 | − | 0.0147315i | ||||
\(45\) | −1.06667 | + | 6.62286i | −0.159009 | + | 0.987277i | ||||
\(46\) | 2.75577 | − | 4.77314i | 0.406317 | − | 0.703761i | ||||
\(47\) | 1.63804 | + | 6.11323i | 0.238932 | + | 0.891706i | 0.976337 | + | 0.216255i | \(0.0693843\pi\) |
−0.737405 | + | 0.675451i | \(0.763949\pi\) | |||||||
\(48\) | −2.05743 | + | 5.92940i | −0.296964 | + | 0.855835i | ||||
\(49\) | 2.92227 | − | 6.36084i | 0.417467 | − | 0.908692i | ||||
\(50\) | 4.63006 | + | 4.92263i | 0.654789 | + | 0.696164i | ||||
\(51\) | 5.45488 | + | 11.2519i | 0.763836 | + | 1.57559i | ||||
\(52\) | −0.242263 | + | 0.242263i | −0.0335958 | + | 0.0335958i | ||||
\(53\) | −2.26904 | − | 8.46818i | −0.311677 | − | 1.16319i | −0.927044 | − | 0.374953i | \(-0.877659\pi\) |
0.615367 | − | 0.788241i | \(-0.289008\pi\) | |||||||
\(54\) | −4.73642 | + | 5.18552i | −0.644545 | + | 0.705659i | ||||
\(55\) | 1.29477 | − | 2.16536i | 0.174587 | − | 0.291978i | ||||
\(56\) | 1.66048 | − | 7.59186i | 0.221891 | − | 1.01451i | ||||
\(57\) | 5.51556 | + | 6.37546i | 0.730554 | + | 0.844450i | ||||
\(58\) | −4.46450 | + | 4.46450i | −0.586218 | + | 0.586218i | ||||
\(59\) | −2.36749 | − | 4.10061i | −0.308221 | − | 0.533854i | 0.669752 | − | 0.742584i | \(-0.266400\pi\) |
−0.977973 | + | 0.208730i | \(0.933067\pi\) | |||||||
\(60\) | −0.116339 | − | 0.660688i | −0.0150194 | − | 0.0852944i | ||||
\(61\) | −4.50139 | − | 2.59888i | −0.576344 | − | 0.332753i | 0.183335 | − | 0.983051i | \(-0.441311\pi\) |
−0.759679 | + | 0.650298i | \(0.774644\pi\) | |||||||
\(62\) | −6.19348 | + | 6.19348i | −0.786573 | + | 0.786573i | ||||
\(63\) | 4.62154 | − | 6.45301i | 0.582260 | − | 0.813003i | ||||
\(64\) | − | 8.56765i | − | 1.07096i | ||||||
\(65\) | −1.20999 | + | 4.25415i | −0.150081 | + | 0.527662i | ||||
\(66\) | 2.37678 | − | 1.15225i | 0.292561 | − | 0.141832i | ||||
\(67\) | −0.876717 | + | 3.27195i | −0.107108 | + | 0.399732i | −0.998576 | − | 0.0533516i | \(-0.983010\pi\) |
0.891468 | + | 0.453084i | \(0.149676\pi\) | |||||||
\(68\) | −0.884243 | − | 0.884243i | −0.107230 | − | 0.107230i | ||||
\(69\) | −3.96349 | + | 5.84611i | −0.477148 | + | 0.703788i | ||||
\(70\) | −2.30919 | − | 7.65540i | −0.276001 | − | 0.914996i | ||||
\(71\) | −1.42631 | −0.169272 | −0.0846358 | − | 0.996412i | \(-0.526973\pi\) | ||||
−0.0846358 | + | 0.996412i | \(0.526973\pi\) | |||||||
\(72\) | 3.48157 | − | 8.09491i | 0.410307 | − | 0.953994i | ||||
\(73\) | −10.1912 | + | 2.73071i | −1.19279 | + | 0.319606i | −0.799986 | − | 0.600019i | \(-0.795160\pi\) |
−0.392799 | + | 0.919624i | \(0.628493\pi\) | |||||||
\(74\) | − | 2.09964i | − | 0.244079i | ||||||
\(75\) | −5.46294 | − | 6.71984i | −0.630806 | − | 0.775941i | ||||
\(76\) | −0.730110 | − | 0.421529i | −0.0837494 | − | 0.0483527i | ||||
\(77\) | −2.51311 | + | 1.61108i | −0.286396 | + | 0.183599i | ||||
\(78\) | −3.50186 | + | 3.02955i | −0.396508 | + | 0.343029i | ||||
\(79\) | −0.505060 | − | 0.291596i | −0.0568237 | − | 0.0328072i | 0.471319 | − | 0.881963i | \(-0.343778\pi\) |
−0.528143 | + | 0.849156i | \(0.677111\pi\) | |||||||
\(80\) | −3.94338 | − | 7.07821i | −0.440884 | − | 0.791368i | ||||
\(81\) | 6.53318 | − | 6.19012i | 0.725909 | − | 0.687791i | ||||
\(82\) | 6.01031 | + | 1.61046i | 0.663727 | + | 0.177845i | ||||
\(83\) | 1.68685 | − | 6.29541i | 0.185156 | − | 0.691012i | −0.809441 | − | 0.587201i | \(-0.800230\pi\) |
0.994597 | − | 0.103810i | \(-0.0331035\pi\) | |||||||
\(84\) | −0.225089 | + | 0.761180i | −0.0245592 | + | 0.0830516i | ||||
\(85\) | −15.5274 | − | 4.41638i | −1.68418 | − | 0.479024i | ||||
\(86\) | 2.45785 | 0.265037 | ||||||||
\(87\) | 6.11899 | − | 5.29368i | 0.656024 | − | 0.567542i | ||||
\(88\) | −2.34344 | + | 2.34344i | −0.249811 | + | 0.249811i | ||||
\(89\) | −8.06229 | − | 13.9643i | −0.854601 | − | 1.48021i | −0.877014 | − | 0.480464i | \(-0.840468\pi\) |
0.0224130 | − | 0.999749i | \(-0.492865\pi\) | |||||||
\(90\) | −0.924217 | − | 9.01949i | −0.0974210 | − | 0.950738i | ||||
\(91\) | 3.52455 | − | 3.86835i | 0.369473 | − | 0.405514i | ||||
\(92\) | 0.182813 | − | 0.682268i | 0.0190596 | − | 0.0711314i | ||||
\(93\) | 8.48870 | − | 7.34378i | 0.880237 | − | 0.761514i | ||||
\(94\) | −4.27702 | − | 7.40801i | −0.441140 | − | 0.764078i | ||||
\(95\) | −10.8820 | − | 0.166603i | −1.11647 | − | 0.0170931i | ||||
\(96\) | −0.122054 | + | 1.68781i | −0.0124571 | + | 0.172262i | ||||
\(97\) | −3.91625 | − | 1.04936i | −0.397635 | − | 0.106546i | 0.0544594 | − | 0.998516i | \(-0.482656\pi\) |
−0.452095 | + | 0.891970i | \(0.649323\pi\) | |||||||
\(98\) | −1.58999 | + | 9.32655i | −0.160613 | + | 0.942124i | ||||
\(99\) | −3.14439 | + | 1.25307i | −0.316024 | + | 0.125938i | ||||
\(100\) | 0.736428 | + | 0.455791i | 0.0736428 | + | 0.0455791i | ||||
\(101\) | − | 14.4607i | − | 1.43890i | −0.694545 | − | 0.719449i | \(-0.744394\pi\) | ||
0.694545 | − | 0.719449i | \(-0.255606\pi\) | |||||||
\(102\) | −11.0576 | − | 12.7816i | −1.09487 | − | 1.26556i | ||||
\(103\) | 6.46720 | + | 6.46720i | 0.637232 | + | 0.637232i | 0.949872 | − | 0.312640i | \(-0.101213\pi\) |
−0.312640 | + | 0.949872i | \(0.601213\pi\) | |||||||
\(104\) | 2.90493 | − | 5.03149i | 0.284852 | − | 0.493379i | ||||
\(105\) | 2.24392 | + | 9.99824i | 0.218984 | + | 0.975728i | ||||
\(106\) | 5.92462 | + | 10.2617i | 0.575450 | + | 0.996708i | ||||
\(107\) | −0.784308 | + | 2.92708i | −0.0758219 | + | 0.282971i | −0.993418 | − | 0.114542i | \(-0.963460\pi\) |
0.917597 | + | 0.397513i | \(0.130127\pi\) | |||||||
\(108\) | −0.414317 | + | 0.799012i | −0.0398677 | + | 0.0768849i | ||||
\(109\) | 11.7213 | + | 6.76728i | 1.12269 | + | 0.648188i | 0.942087 | − | 0.335367i | \(-0.108860\pi\) |
0.180607 | + | 0.983555i | \(0.442194\pi\) | |||||||
\(110\) | −0.932884 | + | 3.27988i | −0.0889470 | + | 0.312725i | ||||
\(111\) | −0.194069 | + | 2.68367i | −0.0184202 | + | 0.254723i | ||||
\(112\) | 0.445364 | + | 9.57672i | 0.0420830 | + | 0.904915i | ||||
\(113\) | 3.76486 | + | 14.0506i | 0.354168 | + | 1.32177i | 0.881528 | + | 0.472131i | \(0.156515\pi\) |
−0.527361 | + | 0.849642i | \(0.676818\pi\) | |||||||
\(114\) | −9.43099 | − | 6.39393i | −0.883293 | − | 0.598847i | ||||
\(115\) | −2.22489 | − | 8.84271i | −0.207472 | − | 0.824587i | ||||
\(116\) | −0.404572 | + | 0.700739i | −0.0375636 | + | 0.0650620i | ||||
\(117\) | 4.75595 | − | 3.54856i | 0.439688 | − | 0.328065i | ||||
\(118\) | 4.52529 | + | 4.52529i | 0.416587 | + | 0.416587i | ||||
\(119\) | 14.1192 | + | 12.8644i | 1.29431 | + | 1.17927i | ||||
\(120\) | 4.80535 | + | 10.3113i | 0.438666 | + | 0.941291i | ||||
\(121\) | −9.72695 | −0.884269 | ||||||||
\(122\) | 6.78585 | + | 1.81826i | 0.614362 | + | 0.164618i | ||||
\(123\) | −7.53326 | − | 2.61395i | −0.679251 | − | 0.235692i | ||||
\(124\) | −0.561251 | + | 0.972116i | −0.0504019 | + | 0.0872986i | ||||
\(125\) | 11.1686 | + | 0.513290i | 0.998946 | + | 0.0459101i | ||||
\(126\) | −3.77621 | + | 10.0413i | −0.336411 | + | 0.894551i | ||||
\(127\) | −6.37712 | − | 6.37712i | −0.565878 | − | 0.565878i | 0.365093 | − | 0.930971i | \(-0.381037\pi\) |
−0.930971 | + | 0.365093i | \(0.881037\pi\) | |||||||
\(128\) | 2.49137 | + | 9.29791i | 0.220208 | + | 0.821827i | ||||
\(129\) | −3.14152 | − | 0.227178i | −0.276596 | − | 0.0200019i | ||||
\(130\) | 0.0915106 | − | 5.97720i | 0.00802601 | − | 0.524236i | ||||
\(131\) | − | 7.98212i | − | 0.697401i | −0.937234 | − | 0.348700i | \(-0.886623\pi\) | ||
0.937234 | − | 0.348700i | \(-0.113377\pi\) | |||||||
\(132\) | 0.255999 | − | 0.221471i | 0.0222819 | − | 0.0192766i | ||||
\(133\) | 11.4391 | + | 5.91364i | 0.991900 | + | 0.512777i | ||||
\(134\) | − | 4.57833i | − | 0.395507i | ||||||
\(135\) | 0.347626 | + | 11.6137i | 0.0299189 | + | 0.999552i | ||||
\(136\) | 18.3646 | + | 10.6028i | 1.57475 | + | 0.909184i | ||||
\(137\) | −9.88941 | − | 9.88941i | −0.844909 | − | 0.844909i | 0.144583 | − | 0.989493i | \(-0.453816\pi\) |
−0.989493 | + | 0.144583i | \(0.953816\pi\) | |||||||
\(138\) | 3.12940 | − | 9.01878i | 0.266392 | − | 0.767729i | ||||
\(139\) | −10.7911 | + | 18.6907i | −0.915285 | + | 1.58532i | −0.108803 | + | 0.994063i | \(0.534702\pi\) |
−0.806483 | + | 0.591258i | \(0.798632\pi\) | |||||||
\(140\) | −0.539775 | − | 0.871060i | −0.0456193 | − | 0.0736180i | ||||
\(141\) | 4.78198 | + | 9.86392i | 0.402715 | + | 0.830692i | ||||
\(142\) | 1.86209 | − | 0.498946i | 0.156263 | − | 0.0418706i | ||||
\(143\) | −2.15569 | + | 0.577615i | −0.180268 | + | 0.0483026i | ||||
\(144\) | −1.56405 | + | 10.7576i | −0.130337 | + | 0.896467i | ||||
\(145\) | −0.159901 | + | 10.4443i | −0.0132791 | + | 0.867350i | ||||
\(146\) | 12.3496 | − | 7.13007i | 1.02206 | − | 0.590089i | ||||
\(147\) | 2.89430 | − | 11.7738i | 0.238718 | − | 0.971089i | ||||
\(148\) | −0.0696433 | − | 0.259912i | −0.00572464 | − | 0.0213647i | ||||
\(149\) | − | 11.8053i | − | 0.967126i | −0.875310 | − | 0.483563i | \(-0.839342\pi\) | ||
0.875310 | − | 0.483563i | \(-0.160658\pi\) | |||||||
\(150\) | 9.48276 | + | 6.86195i | 0.774264 | + | 0.560276i | ||||
\(151\) | −18.3869 | −1.49631 | −0.748154 | − | 0.663525i | \(-0.769060\pi\) | ||||
−0.748154 | + | 0.663525i | \(0.769060\pi\) | |||||||
\(152\) | 13.8091 | + | 3.70014i | 1.12007 | + | 0.300121i | ||||
\(153\) | 12.9520 | + | 17.3589i | 1.04711 | + | 1.40338i | ||||
\(154\) | 2.71737 | − | 2.98244i | 0.218972 | − | 0.240332i | ||||
\(155\) | −0.221826 | + | 14.4890i | −0.0178175 | + | 1.16379i | ||||
\(156\) | −0.333004 | + | 0.491178i | −0.0266617 | + | 0.0393257i | ||||
\(157\) | 17.7284 | + | 4.75032i | 1.41488 | + | 0.379117i | 0.883666 | − | 0.468118i | \(-0.155068\pi\) |
0.531218 | + | 0.847235i | \(0.321734\pi\) | |||||||
\(158\) | 0.761377 | + | 0.204010i | 0.0605719 | + | 0.0162302i | ||||
\(159\) | −6.62410 | − | 13.6637i | −0.525325 | − | 1.08360i | ||||
\(160\) | −1.52095 | − | 1.56824i | −0.120242 | − | 0.123981i | ||||
\(161\) | −2.30525 | + | 10.5398i | −0.181679 | + | 0.830651i | ||||
\(162\) | −6.36388 | + | 10.3668i | −0.499993 | + | 0.814494i | ||||
\(163\) | −19.7210 | − | 5.28423i | −1.54467 | − | 0.413893i | −0.616897 | − | 0.787044i | \(-0.711611\pi\) |
−0.927771 | + | 0.373151i | \(0.878277\pi\) | |||||||
\(164\) | 0.797426 | 0.0622685 | ||||||||
\(165\) | 1.49553 | − | 4.10598i | 0.116427 | − | 0.319650i | ||||
\(166\) | 8.80896i | 0.683708i | ||||||||
\(167\) | −4.30783 | − | 16.0770i | −0.333350 | − | 1.24408i | −0.905647 | − | 0.424032i | \(-0.860614\pi\) |
0.572297 | − | 0.820046i | \(-0.306052\pi\) | |||||||
\(168\) | 0.346130 | − | 13.4559i | 0.0267045 | − | 1.03814i | ||||
\(169\) | −7.87012 | + | 4.54381i | −0.605394 | + | 0.349524i | ||||
\(170\) | 21.8164 | + | 0.334008i | 1.67324 | + | 0.0256172i | ||||
\(171\) | 11.4633 | + | 9.04415i | 0.876620 | + | 0.691624i | ||||
\(172\) | 0.304255 | − | 0.0815248i | 0.0231992 | − | 0.00621621i | ||||
\(173\) | 19.6692 | − | 5.27036i | 1.49542 | − | 0.400698i | 0.583860 | − | 0.811854i | \(-0.301542\pi\) |
0.911565 | + | 0.411156i | \(0.134875\pi\) | |||||||
\(174\) | −6.13672 | + | 9.05159i | −0.465223 | + | 0.686200i | ||||
\(175\) | −11.5599 | − | 6.43192i | −0.873843 | − | 0.486208i | ||||
\(176\) | 2.04422 | − | 3.54070i | 0.154089 | − | 0.266890i | ||||
\(177\) | −5.36577 | − | 6.20231i | −0.403316 | − | 0.466194i | ||||
\(178\) | 15.4105 | + | 15.4105i | 1.15507 | + | 1.15507i | ||||
\(179\) | 21.3182 | + | 12.3081i | 1.59340 | + | 0.919948i | 0.992719 | + | 0.120457i | \(0.0384360\pi\) |
0.600678 | + | 0.799491i | \(0.294897\pi\) | |||||||
\(180\) | −0.413576 | − | 1.08586i | −0.0308262 | − | 0.0809350i | ||||
\(181\) | − | 3.33007i | − | 0.247522i | −0.992312 | − | 0.123761i | \(-0.960504\pi\) | ||
0.992312 | − | 0.123761i | \(-0.0394957\pi\) | |||||||
\(182\) | −3.24820 | + | 6.28321i | −0.240772 | + | 0.465742i | ||||
\(183\) | −8.50531 | − | 2.95124i | −0.628731 | − | 0.218162i | ||||
\(184\) | 11.9778i | 0.883013i | ||||||||
\(185\) | −2.41836 | − | 2.49356i | −0.177801 | − | 0.183330i | ||||
\(186\) | −8.51330 | + | 12.5570i | −0.624225 | + | 0.920726i | ||||
\(187\) | −2.10825 | − | 7.86811i | −0.154171 | − | 0.575373i | ||||
\(188\) | −0.775164 | − | 0.775164i | −0.0565346 | − | 0.0565346i | ||||
\(189\) | 5.75470 | − | 12.4853i | 0.418593 | − | 0.908174i | ||||
\(190\) | 14.2651 | − | 3.58921i | 1.03490 | − | 0.260389i | ||||
\(191\) | −4.53279 | + | 7.85102i | −0.327981 | + | 0.568080i | −0.982111 | − | 0.188302i | \(-0.939702\pi\) |
0.654130 | + | 0.756382i | \(0.273035\pi\) | |||||||
\(192\) | −2.79691 | − | 14.5736i | −0.201850 | − | 1.05176i | ||||
\(193\) | 4.34670 | + | 1.16470i | 0.312883 | + | 0.0838366i | 0.411843 | − | 0.911255i | \(-0.364885\pi\) |
−0.0989607 | + | 0.995091i | \(0.531552\pi\) | |||||||
\(194\) | 5.47988 | 0.393432 | ||||||||
\(195\) | −0.669436 | + | 7.63135i | −0.0479393 | + | 0.546492i | ||||
\(196\) | 0.112531 | + | 1.20726i | 0.00803790 | + | 0.0862329i | ||||
\(197\) | −4.14322 | − | 4.14322i | −0.295192 | − | 0.295192i | 0.543935 | − | 0.839127i | \(-0.316934\pi\) |
−0.839127 | + | 0.543935i | \(0.816934\pi\) | |||||||
\(198\) | 3.66677 | − | 2.73589i | 0.260586 | − | 0.194431i | ||||
\(199\) | 8.10826 | − | 14.0439i | 0.574779 | − | 0.995547i | −0.421286 | − | 0.906928i | \(-0.638421\pi\) |
0.996066 | − | 0.0886191i | \(-0.0282454\pi\) | |||||||
\(200\) | −14.0630 | − | 4.23362i | −0.994404 | − | 0.299362i | ||||
\(201\) | −0.423173 | + | 5.85182i | −0.0298483 | + | 0.412756i | ||||
\(202\) | 5.05861 | + | 18.8790i | 0.355922 | + | 1.32832i | ||||
\(203\) | 5.67574 | − | 10.9790i | 0.398359 | − | 0.770572i | ||||
\(204\) | −1.79277 | − | 1.21544i | −0.125519 | − | 0.0850980i | ||||
\(205\) | 8.99282 | − | 5.01004i | 0.628085 | − | 0.349916i | ||||
\(206\) | −10.7055 | − | 6.18081i | −0.745885 | − | 0.430637i | ||||
\(207\) | −4.83347 | + | 11.2382i | −0.335949 | + | 0.781106i | ||||
\(208\) | −1.85504 | + | 6.92310i | −0.128624 | + | 0.480031i | ||||
\(209\) | −2.74579 | − | 4.75586i | −0.189931 | − | 0.328969i | ||||
\(210\) | −6.42706 | − | 12.2681i | −0.443509 | − | 0.846577i | ||||
\(211\) | −1.64683 | + | 2.85239i | −0.113372 | + | 0.196367i | −0.917128 | − | 0.398593i | \(-0.869499\pi\) |
0.803756 | + | 0.594960i | \(0.202832\pi\) | |||||||
\(212\) | 1.07377 | + | 1.07377i | 0.0737471 | + | 0.0737471i | ||||
\(213\) | −2.42616 | + | 0.465618i | −0.166238 | + | 0.0319036i | ||||
\(214\) | − | 4.09576i | − | 0.279980i | ||||||
\(215\) | 2.91897 | − | 2.83094i | 0.199072 | − | 0.193069i | ||||
\(216\) | 3.27960 | − | 14.9061i | 0.223148 | − | 1.01423i | ||||
\(217\) | 7.87380 | − | 15.2308i | 0.534508 | − | 1.03394i | ||||
\(218\) | −17.6698 | − | 4.73461i | −1.19675 | − | 0.320668i | ||||
\(219\) | −16.4438 | + | 7.97187i | −1.11117 | + | 0.538689i | ||||
\(220\) | −0.00668977 | + | 0.436956i | −0.000451024 | + | 0.0294596i | ||||
\(221\) | 7.13995 | + | 12.3668i | 0.480285 | + | 0.831878i | ||||
\(222\) | −0.685429 | − | 3.57151i | −0.0460030 | − | 0.239704i | ||||
\(223\) | −5.12402 | + | 19.1231i | −0.343130 | + | 1.28058i | 0.551652 | + | 0.834074i | \(0.313998\pi\) |
−0.894782 | + | 0.446503i | \(0.852669\pi\) | |||||||
\(224\) | 0.784291 | + | 2.46305i | 0.0524026 | + | 0.164570i | ||||
\(225\) | −11.4862 | − | 9.64713i | −0.765747 | − | 0.643142i | ||||
\(226\) | −9.83028 | − | 17.0265i | −0.653901 | − | 1.13259i | ||||
\(227\) | −14.9157 | + | 14.9157i | −0.989988 | + | 0.989988i | −0.999950 | − | 0.00996271i | \(-0.996829\pi\) |
0.00996271 | + | 0.999950i | \(0.496829\pi\) | |||||||
\(228\) | −1.37953 | − | 0.478680i | −0.0913617 | − | 0.0317014i | ||||
\(229\) | 13.2107 | 0.872986 | 0.436493 | − | 0.899708i | \(-0.356220\pi\) | ||||
0.436493 | + | 0.899708i | \(0.356220\pi\) | |||||||
\(230\) | 5.99799 | + | 10.7661i | 0.395496 | + | 0.709899i | ||||
\(231\) | −3.74889 | + | 3.56086i | −0.246659 | + | 0.234288i | ||||
\(232\) | 3.55129 | − | 13.2536i | 0.233154 | − | 0.870142i | ||||
\(233\) | −6.06677 | − | 1.62559i | −0.397448 | − | 0.106496i | 0.0545586 | − | 0.998511i | \(-0.482625\pi\) |
−0.452006 | + | 0.892015i | \(0.649291\pi\) | |||||||
\(234\) | −4.96770 | + | 6.29647i | −0.324749 | + | 0.411613i | ||||
\(235\) | −13.6119 | − | 3.87158i | −0.887944 | − | 0.252554i | ||||
\(236\) | 0.710281 | + | 0.410081i | 0.0462354 | + | 0.0266940i | ||||
\(237\) | −0.954303 | − | 0.331131i | −0.0619886 | − | 0.0215093i | ||||
\(238\) | −22.9333 | − | 11.8557i | −1.48654 | − | 0.768491i | ||||
\(239\) | −0.0854027 | − | 0.0493073i | −0.00552424 | − | 0.00318942i | 0.497235 | − | 0.867616i | \(-0.334349\pi\) |
−0.502760 | + | 0.864426i | \(0.667682\pi\) | |||||||
\(240\) | −9.01841 | − | 10.7528i | −0.582136 | − | 0.694089i | ||||
\(241\) | − | 14.4746i | − | 0.932393i | −0.884681 | − | 0.466197i | \(-0.845624\pi\) | ||
0.884681 | − | 0.466197i | \(-0.154376\pi\) | |||||||
\(242\) | 12.6989 | − | 3.40265i | 0.816313 | − | 0.218731i | ||||
\(243\) | 9.09223 | − | 12.6622i | 0.583267 | − | 0.812281i | ||||
\(244\) | 0.900322 | 0.0576372 | ||||||||
\(245\) | 8.85397 | + | 12.9076i | 0.565660 | + | 0.824639i | ||||
\(246\) | 10.7493 | + | 0.777334i | 0.685352 | + | 0.0495610i | ||||
\(247\) | 6.80740 | + | 6.80740i | 0.433144 | + | 0.433144i | ||||
\(248\) | 4.92661 | − | 18.3864i | 0.312840 | − | 1.16754i | ||||
\(249\) | 0.814208 | − | 11.2592i | 0.0515984 | − | 0.713525i | ||||
\(250\) | −14.7605 | + | 3.23682i | −0.933534 | + | 0.204715i | ||||
\(251\) | − | 16.9606i | − | 1.07055i | −0.844679 | − | 0.535273i | \(-0.820209\pi\) | ||
0.844679 | − | 0.535273i | \(-0.179791\pi\) | |||||||
\(252\) | −0.134391 | + | 1.36825i | −0.00846584 | + | 0.0861920i | ||||
\(253\) | 3.25339 | − | 3.25339i | 0.204539 | − | 0.204539i | ||||
\(254\) | 10.5564 | + | 6.09471i | 0.662364 | + | 0.382416i | ||||
\(255\) | −27.8539 | − | 2.44339i | −1.74428 | − | 0.153011i | ||||
\(256\) | 2.06252 | + | 3.57239i | 0.128908 | + | 0.223274i | ||||
\(257\) | −13.9416 | + | 13.9416i | −0.869655 | + | 0.869655i | −0.992434 | − | 0.122779i | \(-0.960819\pi\) |
0.122779 | + | 0.992434i | \(0.460819\pi\) | |||||||
\(258\) | 4.18083 | − | 0.802367i | 0.260287 | − | 0.0499532i | ||||
\(259\) | 1.24705 | + | 3.91633i | 0.0774877 | + | 0.243349i | ||||
\(260\) | −0.186931 | − | 0.742947i | −0.0115929 | − | 0.0460756i | ||||
\(261\) | 8.68032 | − | 11.0021i | 0.537298 | − | 0.681015i | ||||
\(262\) | 2.79227 | + | 10.4209i | 0.172507 | + | 0.643806i | ||||
\(263\) | −8.46635 | + | 8.46635i | −0.522057 | + | 0.522057i | −0.918192 | − | 0.396135i | \(-0.870351\pi\) |
0.396135 | + | 0.918192i | \(0.370351\pi\) | |||||||
\(264\) | −3.22119 | + | 4.75122i | −0.198251 | + | 0.292417i | ||||
\(265\) | 18.8555 | + | 5.36300i | 1.15829 | + | 0.329447i | ||||
\(266\) | −17.0029 | − | 3.71885i | −1.04251 | − | 0.228017i | ||||
\(267\) | −18.2727 | − | 21.1215i | −1.11827 | − | 1.29261i | ||||
\(268\) | −0.151859 | − | 0.566746i | −0.00927627 | − | 0.0346195i | ||||
\(269\) | −6.04458 | + | 10.4695i | −0.368544 | + | 0.638338i | −0.989338 | − | 0.145636i | \(-0.953477\pi\) |
0.620794 | + | 0.783974i | \(0.286810\pi\) | |||||||
\(270\) | −4.51652 | − | 15.0405i | −0.274866 | − | 0.915337i | ||||
\(271\) | −5.68603 | + | 3.28283i | −0.345402 | + | 0.199418i | −0.662658 | − | 0.748922i | \(-0.730572\pi\) |
0.317256 | + | 0.948340i | \(0.397238\pi\) | |||||||
\(272\) | −25.2688 | − | 6.77077i | −1.53215 | − | 0.410538i | ||||
\(273\) | 4.73246 | − | 7.73069i | 0.286422 | − | 0.467883i | ||||
\(274\) | 16.3704 | + | 9.45147i | 0.988973 | + | 0.570984i | ||||
\(275\) | 2.66985 | + | 4.96971i | 0.160998 | + | 0.299685i | ||||
\(276\) | 0.0882401 | − | 1.22022i | 0.00531143 | − | 0.0734488i | ||||
\(277\) | 22.4886 | + | 22.4886i | 1.35121 | + | 1.35121i | 0.884310 | + | 0.466901i | \(0.154630\pi\) |
0.466901 | + | 0.884310i | \(0.345370\pi\) | |||||||
\(278\) | 7.54978 | − | 28.1761i | 0.452806 | − | 1.68989i | ||||
\(279\) | 12.0420 | − | 15.2630i | 0.720934 | − | 0.913770i | ||||
\(280\) | 12.6644 | + | 11.8987i | 0.756845 | + | 0.711085i | ||||
\(281\) | 1.08403 | + | 1.87760i | 0.0646680 | + | 0.112008i | 0.896547 | − | 0.442949i | \(-0.146068\pi\) |
−0.831879 | + | 0.554958i | \(0.812734\pi\) | |||||||
\(282\) | −9.69359 | − | 11.2049i | −0.577245 | − | 0.667239i | ||||
\(283\) | 4.09247 | − | 15.2733i | 0.243272 | − | 0.907903i | −0.730972 | − | 0.682407i | \(-0.760933\pi\) |
0.974244 | − | 0.225496i | \(-0.0724002\pi\) | |||||||
\(284\) | 0.213956 | − | 0.123528i | 0.0126960 | − | 0.00733002i | ||||
\(285\) | −18.5648 | + | 3.26905i | −1.09969 | + | 0.193642i | ||||
\(286\) | 2.61226 | − | 1.50819i | 0.154466 | − | 0.0891811i | ||||
\(287\) | −12.1672 | + | 0.565833i | −0.718204 | + | 0.0334000i | ||||
\(288\) | 0.343372 | + | 2.91083i | 0.0202334 | + | 0.171522i | ||||
\(289\) | −30.4154 | + | 17.5603i | −1.78914 | + | 1.03296i | ||||
\(290\) | −3.44482 | − | 13.6913i | −0.202287 | − | 0.803979i | ||||
\(291\) | −7.00414 | − | 0.506503i | −0.410590 | − | 0.0296917i | ||||
\(292\) | 1.29225 | − | 1.29225i | 0.0756232 | − | 0.0756232i | ||||
\(293\) | 17.8413 | − | 4.78057i | 1.04230 | − | 0.279284i | 0.303234 | − | 0.952916i | \(-0.401934\pi\) |
0.739067 | + | 0.673632i | \(0.235267\pi\) | |||||||
\(294\) | 0.340071 | + | 16.3836i | 0.0198333 | + | 0.955510i | ||||
\(295\) | 10.5865 | + | 0.162079i | 0.616369 | + | 0.00943658i | ||||
\(296\) | 2.28149 | + | 3.95165i | 0.132609 | + | 0.229685i | ||||
\(297\) | −4.93958 | + | 3.15797i | −0.286623 | + | 0.183244i | ||||
\(298\) | 4.12968 | + | 15.4122i | 0.239226 | + | 0.892803i | ||||
\(299\) | −4.03292 | + | 6.98523i | −0.233230 | + | 0.403966i | ||||
\(300\) | 1.40146 | + | 0.534898i | 0.0809136 | + | 0.0308823i | ||||
\(301\) | −4.58448 | + | 1.45980i | −0.264245 | + | 0.0841414i | ||||
\(302\) | 24.0048 | − | 6.43206i | 1.38132 | − | 0.370123i | ||||
\(303\) | −4.72072 | − | 24.5979i | −0.271198 | − | 1.41311i | ||||
\(304\) | −17.6365 | −1.01152 | ||||||||
\(305\) | 10.1532 | − | 5.65651i | 0.581371 | − | 0.323891i | ||||
\(306\) | −22.9817 | − | 18.1318i | −1.31378 | − | 1.03653i | ||||
\(307\) | 6.95585 | − | 6.95585i | 0.396991 | − | 0.396991i | −0.480179 | − | 0.877171i | \(-0.659428\pi\) |
0.877171 | + | 0.480179i | \(0.159428\pi\) | |||||||
\(308\) | 0.237455 | − | 0.459326i | 0.0135303 | − | 0.0261725i | ||||
\(309\) | 13.1120 | + | 8.88954i | 0.745914 | + | 0.505708i | ||||
\(310\) | −4.77891 | − | 18.9935i | −0.271424 | − | 1.07876i | ||||
\(311\) | −13.0386 | + | 7.52781i | −0.739349 | + | 0.426863i | −0.821832 | − | 0.569729i | \(-0.807048\pi\) |
0.0824838 | + | 0.996592i | \(0.473715\pi\) | |||||||
\(312\) | 3.29879 | − | 9.50693i | 0.186757 | − | 0.538224i | ||||
\(313\) | 23.0408 | − | 6.17376i | 1.30234 | − | 0.348962i | 0.460007 | − | 0.887915i | \(-0.347847\pi\) |
0.842336 | + | 0.538953i | \(0.181180\pi\) | |||||||
\(314\) | −24.8068 | −1.39993 | ||||||||
\(315\) | 7.08085 | + | 16.2746i | 0.398961 | + | 0.916968i | ||||
\(316\) | 0.101017 | 0.00568264 | ||||||||
\(317\) | 2.73743 | − | 0.733492i | 0.153749 | − | 0.0411970i | −0.181123 | − | 0.983460i | \(-0.557973\pi\) |
0.334873 | + | 0.942263i | \(0.391307\pi\) | |||||||
\(318\) | 13.4278 | + | 15.5212i | 0.752992 | + | 0.870386i | ||||
\(319\) | −4.56454 | + | 2.63534i | −0.255565 | + | 0.147550i | ||||
\(320\) | 16.4426 | + | 9.83178i | 0.919169 | + | 0.549613i | ||||
\(321\) | −0.378569 | + | 5.23502i | −0.0211297 | + | 0.292190i | ||||
\(322\) | −0.677411 | − | 14.5664i | −0.0377507 | − | 0.811756i | ||||
\(323\) | −24.8465 | + | 24.8465i | −1.38250 | + | 1.38250i | ||||
\(324\) | −0.443919 | + | 1.49438i | −0.0246622 | + | 0.0830211i | ||||
\(325\) | −6.77583 | − | 7.20399i | −0.375855 | − | 0.399605i | ||||
\(326\) | 27.5949 | 1.52834 | ||||||||
\(327\) | 22.1472 | + | 7.68479i | 1.22474 | + | 0.424970i | ||||
\(328\) | −13.0617 | + | 3.49987i | −0.721211 | + | 0.193248i | ||||
\(329\) | 12.3775 | + | 11.2774i | 0.682394 | + | 0.621745i | ||||
\(330\) | −0.516124 | + | 5.88365i | −0.0284117 | + | 0.323884i | ||||
\(331\) | −3.25694 | + | 5.64119i | −0.179018 | + | 0.310068i | −0.941544 | − | 0.336889i | \(-0.890625\pi\) |
0.762527 | + | 0.646957i | \(0.223959\pi\) | |||||||
\(332\) | 0.292185 | + | 1.09045i | 0.0160358 | + | 0.0598462i | ||||
\(333\) | 0.545973 | + | 4.62830i | 0.0299191 | + | 0.253630i | ||||
\(334\) | 11.2480 | + | 19.4821i | 0.615465 | + | 1.06602i | ||||
\(335\) | −5.27329 | − | 5.43727i | −0.288111 | − | 0.297070i | ||||
\(336\) | 3.88389 | + | 16.1447i | 0.211884 | + | 0.880765i | ||||
\(337\) | 5.19657 | − | 1.39242i | 0.283075 | − | 0.0758497i | −0.114488 | − | 0.993425i | \(-0.536523\pi\) |
0.397563 | + | 0.917575i | \(0.369856\pi\) | |||||||
\(338\) | 8.68519 | − | 8.68519i | 0.472412 | − | 0.472412i | ||||
\(339\) | 10.9909 | + | 22.6712i | 0.596943 | + | 1.23133i | ||||
\(340\) | 2.71170 | − | 0.682284i | 0.147063 | − | 0.0370020i | ||||
\(341\) | −6.33225 | + | 3.65593i | −0.342911 | + | 0.197980i | ||||
\(342\) | −18.1295 | − | 7.79739i | −0.980331 | − | 0.421635i | ||||
\(343\) | −2.57363 | − | 18.3406i | −0.138963 | − | 0.990298i | ||||
\(344\) | −4.62582 | + | 2.67072i | −0.249408 | + | 0.143996i | ||||
\(345\) | −6.67126 | − | 14.3152i | −0.359169 | − | 0.770705i | ||||
\(346\) | −23.8352 | + | 13.7612i | −1.28139 | + | 0.739809i | ||||
\(347\) | −7.74420 | + | 28.9017i | −0.415730 | + | 1.55153i | 0.367638 | + | 0.929969i | \(0.380167\pi\) |
−0.783368 | + | 0.621558i | \(0.786500\pi\) | |||||||
\(348\) | −0.459424 | + | 1.32404i | −0.0246277 | + | 0.0709758i | ||||
\(349\) | −7.34670 | − | 12.7249i | −0.393260 | − | 0.681146i | 0.599617 | − | 0.800287i | \(-0.295319\pi\) |
−0.992877 | + | 0.119140i | \(0.961986\pi\) | |||||||
\(350\) | 17.3418 | + | 4.35326i | 0.926956 | + | 0.232691i | ||||
\(351\) | 6.93149 | − | 7.58871i | 0.369975 | − | 0.405056i | ||||
\(352\) | 0.285308 | − | 1.06478i | 0.0152070 | − | 0.0567532i | ||||
\(353\) | −1.50358 | − | 1.50358i | −0.0800274 | − | 0.0800274i | 0.665960 | − | 0.745987i | \(-0.268022\pi\) |
−0.745987 | + | 0.665960i | \(0.768022\pi\) | |||||||
\(354\) | 9.17485 | + | 6.22028i | 0.487638 | + | 0.330604i | ||||
\(355\) | 1.63675 | − | 2.73730i | 0.0868699 | − | 0.145281i | ||||
\(356\) | 2.41880 | + | 1.39650i | 0.128196 | + | 0.0740142i | ||||
\(357\) | 28.2165 | + | 17.2732i | 1.49338 | + | 0.914193i | ||||
\(358\) | −32.1372 | − | 8.61113i | −1.69850 | − | 0.455112i | ||||
\(359\) | 10.6988 | − | 6.17693i | 0.564659 | − | 0.326006i | −0.190354 | − | 0.981715i | \(-0.560964\pi\) |
0.755013 | + | 0.655709i | \(0.227630\pi\) | |||||||
\(360\) | 11.5401 | + | 15.9709i | 0.608215 | + | 0.841743i | ||||
\(361\) | −2.34465 | + | 4.06106i | −0.123403 | + | 0.213740i | ||||
\(362\) | 1.16491 | + | 4.34752i | 0.0612265 | + | 0.228501i | ||||
\(363\) | −16.5456 | + | 3.17537i | −0.868421 | + | 0.166664i | ||||
\(364\) | −0.193682 | + | 0.885531i | −0.0101517 | + | 0.0464144i | ||||
\(365\) | 6.45419 | − | 22.6920i | 0.337828 | − | 1.18775i | ||||
\(366\) | 12.1364 | + | 0.877637i | 0.634377 | + | 0.0458748i | ||||
\(367\) | −4.04941 | + | 4.04941i | −0.211378 | + | 0.211378i | −0.804852 | − | 0.593475i | \(-0.797756\pi\) |
0.593475 | + | 0.804852i | \(0.297756\pi\) | |||||||
\(368\) | −3.82439 | − | 14.2728i | −0.199360 | − | 0.744023i | ||||
\(369\) | −13.6675 | − | 1.98711i | −0.711500 | − | 0.103445i | ||||
\(370\) | 4.02953 | + | 2.40944i | 0.209485 | + | 0.125261i | ||||
\(371\) | −17.1456 | − | 15.6217i | −0.890155 | − | 0.811041i | ||||
\(372\) | −0.637346 | + | 1.83680i | −0.0330448 | + | 0.0952335i | ||||
\(373\) | 3.70953 | − | 3.70953i | 0.192072 | − | 0.192072i | −0.604519 | − | 0.796591i | \(-0.706635\pi\) |
0.796591 | + | 0.604519i | \(0.206635\pi\) | |||||||
\(374\) | 5.50479 | + | 9.53457i | 0.284646 | + | 0.493021i | ||||
\(375\) | 19.1654 | − | 2.77287i | 0.989695 | − | 0.143190i | ||||
\(376\) | 16.0992 | + | 9.29487i | 0.830252 | + | 0.479346i | ||||
\(377\) | 6.53355 | − | 6.53355i | 0.336495 | − | 0.336495i | ||||
\(378\) | −3.14537 | + | 18.3131i | −0.161781 | + | 0.941924i | ||||
\(379\) | − | 19.3084i | − | 0.991807i | −0.868378 | − | 0.495904i | \(-0.834837\pi\) | ||
0.868378 | − | 0.495904i | \(-0.165163\pi\) | |||||||
\(380\) | 1.64681 | − | 0.917466i | 0.0844798 | − | 0.0470650i | ||||
\(381\) | −12.9293 | − | 8.76572i | −0.662390 | − | 0.449081i | ||||
\(382\) | 3.17129 | − | 11.8354i | 0.162257 | − | 0.605552i | ||||
\(383\) | −7.65418 | − | 7.65418i | −0.391110 | − | 0.391110i | 0.483973 | − | 0.875083i | \(-0.339193\pi\) |
−0.875083 | + | 0.483973i | \(0.839193\pi\) | |||||||
\(384\) | 7.27315 | + | 15.0025i | 0.371156 | + | 0.765594i | ||||
\(385\) | −0.207980 | − | 6.67183i | −0.0105996 | − | 0.340028i | ||||
\(386\) | −6.08219 | −0.309575 | ||||||||
\(387\) | −5.41792 | + | 0.639119i | −0.275408 | + | 0.0324882i | ||||
\(388\) | 0.678348 | − | 0.181763i | 0.0344379 | − | 0.00922761i | ||||
\(389\) | − | 14.9889i | − | 0.759970i | −0.924993 | − | 0.379985i | \(-0.875929\pi\) | ||
0.924993 | − | 0.379985i | \(-0.124071\pi\) | |||||||
\(390\) | −1.79560 | − | 10.1972i | −0.0909237 | − | 0.516353i | ||||
\(391\) | −25.4956 | − | 14.7199i | −1.28937 | − | 0.744417i | ||||
\(392\) | −7.14184 | − | 19.2808i | −0.360717 | − | 0.973827i | ||||
\(393\) | −2.60576 | − | 13.5776i | −0.131443 | − | 0.684902i | ||||
\(394\) | 6.85847 | + | 3.95974i | 0.345525 | + | 0.199489i | ||||
\(395\) | 1.13920 | − | 0.634665i | 0.0573192 | − | 0.0319334i | ||||
\(396\) | 0.363158 | − | 0.460295i | 0.0182494 | − | 0.0231307i | ||||
\(397\) | −23.6500 | − | 6.33701i | −1.18696 | − | 0.318045i | −0.389277 | − | 0.921121i | \(-0.627275\pi\) |
−0.797684 | + | 0.603075i | \(0.793942\pi\) | |||||||
\(398\) | −5.67280 | + | 21.1712i | −0.284352 | + | 1.06122i | ||||
\(399\) | 21.3886 | + | 6.32484i | 1.07077 | + | 0.316638i | ||||
\(400\) | 18.1094 | + | 0.554636i | 0.905468 | + | 0.0277318i | ||||
\(401\) | −19.1372 | −0.955664 | −0.477832 | − | 0.878451i | \(-0.658577\pi\) | ||||
−0.477832 | + | 0.878451i | \(0.658577\pi\) | |||||||
\(402\) | −1.49460 | − | 7.78777i | −0.0745437 | − | 0.388419i | ||||
\(403\) | 9.06381 | − | 9.06381i | 0.451501 | − | 0.451501i | ||||
\(404\) | 1.25240 | + | 2.16922i | 0.0623091 | + | 0.107923i | ||||
\(405\) | 4.38263 | + | 19.6416i | 0.217775 | + | 0.975999i | ||||
\(406\) | −3.56924 | + | 16.3189i | −0.177139 | + | 0.809892i | ||||
\(407\) | 0.453649 | − | 1.69304i | 0.0224865 | − | 0.0839209i | ||||
\(408\) | 34.6997 | + | 12.0403i | 1.71789 | + | 0.596086i | ||||
\(409\) | −12.1603 | − | 21.0623i | −0.601288 | − | 1.04146i | −0.992626 | − | 0.121215i | \(-0.961321\pi\) |
0.391338 | − | 0.920247i | \(-0.372012\pi\) | |||||||
\(410\) | −9.98782 | + | 9.68660i | −0.493263 | + | 0.478387i | ||||
\(411\) | −20.0504 | − | 13.5936i | −0.989012 | − | 0.670521i | ||||
\(412\) | −1.53023 | − | 0.410024i | −0.0753890 | − | 0.0202004i | ||||
\(413\) | −11.1285 | − | 5.75303i | −0.547596 | − | 0.283088i | ||||
\(414\) | 2.37896 | − | 16.3626i | 0.116919 | − | 0.804178i | ||||
\(415\) | 10.1461 | + | 10.4616i | 0.498053 | + | 0.513540i | ||||
\(416\) | 1.93249i | 0.0947479i | ||||||||
\(417\) | −12.2541 | + | 35.3157i | −0.600086 | + | 1.72942i | ||||
\(418\) | 5.24840 | + | 5.24840i | 0.256708 | + | 0.256708i | ||||
\(419\) | −1.75807 | + | 3.04507i | −0.0858874 | + | 0.148761i | −0.905769 | − | 0.423772i | \(-0.860706\pi\) |
0.819882 | + | 0.572533i | \(0.194039\pi\) | |||||||
\(420\) | −1.20252 | − | 1.30547i | −0.0586769 | − | 0.0637004i | ||||
\(421\) | −3.12706 | − | 5.41622i | −0.152403 | − | 0.263971i | 0.779707 | − | 0.626144i | \(-0.215368\pi\) |
−0.932111 | + | 0.362174i | \(0.882035\pi\) | |||||||
\(422\) | 1.15217 | − | 4.29997i | 0.0560870 | − | 0.209319i | ||||
\(423\) | 11.3543 | + | 15.2175i | 0.552063 | + | 0.739902i | ||||
\(424\) | −22.3009 | − | 12.8755i | −1.08303 | − | 0.625287i | ||||
\(425\) | 26.2941 | − | 24.7313i | 1.27545 | − | 1.19964i | ||||
\(426\) | 3.00455 | − | 1.45659i | 0.145571 | − | 0.0705720i | ||||
\(427\) | −13.7371 | + | 0.638845i | −0.664787 | + | 0.0309159i | ||||
\(428\) | −0.135853 | − | 0.507009i | −0.00656668 | − | 0.0245072i | ||||
\(429\) | −3.47828 | + | 1.68625i | −0.167933 | + | 0.0814130i | ||||
\(430\) | −2.82050 | + | 4.71699i | −0.136017 | + | 0.227473i | ||||
\(431\) | −4.12544 | + | 7.14547i | −0.198715 | + | 0.344185i | −0.948112 | − | 0.317936i | \(-0.897010\pi\) |
0.749397 | + | 0.662121i | \(0.230344\pi\) | |||||||
\(432\) | 0.851368 | + | 18.8094i | 0.0409615 | + | 0.904966i | ||||
\(433\) | 19.8846 | + | 19.8846i | 0.955591 | + | 0.955591i | 0.999055 | − | 0.0434643i | \(-0.0138395\pi\) |
−0.0434643 | + | 0.999055i | \(0.513839\pi\) | |||||||
\(434\) | −4.95151 | + | 22.6387i | −0.237680 | + | 1.08669i | ||||
\(435\) | 3.13754 | + | 17.8180i | 0.150434 | + | 0.854308i | ||||
\(436\) | −2.34437 | −0.112275 | ||||||||
\(437\) | −19.1712 | − | 5.13691i | −0.917083 | − | 0.245732i | ||||
\(438\) | 18.6792 | − | 16.1599i | 0.892528 | − | 0.772148i | ||||
\(439\) | −7.07188 | + | 12.2489i | −0.337522 | + | 0.584606i | −0.983966 | − | 0.178356i | \(-0.942922\pi\) |
0.646444 | + | 0.762962i | \(0.276256\pi\) | |||||||
\(440\) | −1.80820 | − | 7.18661i | −0.0862026 | − | 0.342608i | ||||
\(441\) | 1.07966 | − | 20.9722i | 0.0514126 | − | 0.998677i | ||||
\(442\) | −13.6475 | − | 13.6475i | −0.649147 | − | 0.649147i | ||||
\(443\) | 7.90494 | + | 29.5016i | 0.375575 | + | 1.40167i | 0.852503 | + | 0.522723i | \(0.175084\pi\) |
−0.476928 | + | 0.878943i | \(0.658250\pi\) | |||||||
\(444\) | −0.203312 | − | 0.419378i | −0.00964878 | − | 0.0199028i | ||||
\(445\) | 36.0514 | + | 0.551945i | 1.70900 | + | 0.0261647i | ||||
\(446\) | − | 26.7583i | − | 1.26704i | ||||||
\(447\) | −3.85384 | − | 20.0809i | −0.182280 | − | 0.949793i | ||||
\(448\) | −12.2336 | − | 19.0832i | −0.577985 | − | 0.901598i | ||||
\(449\) | − | 9.87922i | − | 0.466229i | −0.972449 | − | 0.233115i | \(-0.925108\pi\) | ||
0.972449 | − | 0.233115i | \(-0.0748917\pi\) | |||||||
\(450\) | 18.3703 | + | 8.57658i | 0.865986 | + | 0.404304i | ||||
\(451\) | 4.49844 | + | 2.59717i | 0.211823 | + | 0.122296i | ||||
\(452\) | −1.78163 | − | 1.78163i | −0.0838011 | − | 0.0838011i | ||||
\(453\) | −31.2764 | + | 6.00243i | −1.46949 | + | 0.282019i | ||||
\(454\) | 14.2551 | − | 24.6906i | 0.669027 | − | 1.15879i | ||||
\(455\) | 3.37937 | + | 11.2033i | 0.158427 | + | 0.525217i | ||||
\(456\) | 24.6974 | + | 1.78598i | 1.15656 | + | 0.0836363i | ||||
\(457\) | −17.7742 | + | 4.76257i | −0.831440 | + | 0.222784i | −0.649342 | − | 0.760497i | \(-0.724956\pi\) |
−0.182098 | + | 0.983280i | \(0.558289\pi\) | |||||||
\(458\) | −17.2470 | + | 4.62131i | −0.805898 | + | 0.215940i | ||||
\(459\) | 27.6983 | + | 25.2995i | 1.29285 | + | 1.18088i | ||||
\(460\) | 1.09959 | + | 1.13378i | 0.0512685 | + | 0.0528628i | ||||
\(461\) | 22.1377 | − | 12.7812i | 1.03105 | − | 0.595280i | 0.113768 | − | 0.993507i | \(-0.463708\pi\) |
0.917287 | + | 0.398228i | \(0.130375\pi\) | |||||||
\(462\) | 3.64865 | − | 5.96025i | 0.169751 | − | 0.277296i | ||||
\(463\) | −2.05612 | − | 7.67355i | −0.0955561 | − | 0.356620i | 0.901547 | − | 0.432681i | \(-0.142432\pi\) |
−0.997103 | + | 0.0760609i | \(0.975766\pi\) | |||||||
\(464\) | 16.9270i | 0.785818i | ||||||||
\(465\) | 4.35263 | + | 24.7184i | 0.201848 | + | 1.14629i | ||||
\(466\) | 8.48903 | 0.393247 | ||||||||
\(467\) | −16.3920 | − | 4.39223i | −0.758533 | − | 0.203248i | −0.141233 | − | 0.989976i | \(-0.545107\pi\) |
−0.617300 | + | 0.786728i | \(0.711773\pi\) | |||||||
\(468\) | −0.406098 | + | 0.944207i | −0.0187719 | + | 0.0436460i | ||||
\(469\) | 2.71922 | + | 8.53967i | 0.125562 | + | 0.394325i | ||||
\(470\) | 19.1252 | + | 0.292805i | 0.882178 | + | 0.0135061i | ||||
\(471\) | 31.7070 | + | 2.29288i | 1.46098 | + | 0.105650i | ||||
\(472\) | −13.4341 | − | 3.59965i | −0.618354 | − | 0.165687i | ||||
\(473\) | 1.98188 | + | 0.531044i | 0.0911270 | + | 0.0244174i | ||||
\(474\) | 1.36171 | + | 0.0984716i | 0.0625453 | + | 0.00452295i | ||||
\(475\) | 12.8074 | − | 20.6931i | 0.587643 | − | 0.949463i | ||||
\(476\) | −3.23213 | − | 0.706927i | −0.148144 | − | 0.0324019i | ||||
\(477\) | −15.7282 | − | 21.0797i | −0.720144 | − | 0.965171i | ||||
\(478\) | 0.128745 | + | 0.0344970i | 0.00588864 | + | 0.00157786i | ||||
\(479\) | 16.7504 | 0.765347 | 0.382673 | − | 0.923884i | \(-0.375003\pi\) | ||||
0.382673 | + | 0.923884i | \(0.375003\pi\) | |||||||
\(480\) | −3.09910 | − | 2.17108i | −0.141454 | − | 0.0990959i | ||||
\(481\) | 3.07271i | 0.140104i | ||||||||
\(482\) | 5.06346 | + | 18.8971i | 0.230634 | + | 0.860740i | ||||
\(483\) | −0.480532 | + | 18.6808i | −0.0218650 | + | 0.850006i | ||||
\(484\) | 1.45911 | − | 0.842420i | 0.0663233 | − | 0.0382918i | ||||
\(485\) | 6.50796 | − | 6.31169i | 0.295511 | − | 0.286599i | ||||
\(486\) | −7.44076 | + | 19.7115i | −0.337520 | + | 0.894133i | ||||
\(487\) | 1.70026 | − | 0.455584i | 0.0770462 | − | 0.0206445i | −0.220090 | − | 0.975480i | \(-0.570635\pi\) |
0.297136 | + | 0.954835i | \(0.403968\pi\) | |||||||
\(488\) | −14.7471 | + | 3.95147i | −0.667569 | + | 0.178875i | ||||
\(489\) | −35.2706 | − | 2.55059i | −1.59499 | − | 0.115342i | ||||
\(490\) | −16.0745 | − | 13.7541i | −0.726170 | − | 0.621346i | ||||
\(491\) | 4.83284 | − | 8.37072i | 0.218103 | − | 0.377765i | −0.736125 | − | 0.676846i | \(-0.763346\pi\) |
0.954228 | + | 0.299080i | \(0.0966798\pi\) | |||||||
\(492\) | 1.35643 | − | 0.260320i | 0.0611525 | − | 0.0117361i | ||||
\(493\) | 23.8470 | + | 23.8470i | 1.07402 | + | 1.07402i | ||||
\(494\) | −11.2686 | − | 6.50594i | −0.506999 | − | 0.292716i | ||||
\(495\) | 1.20351 | − | 7.47252i | 0.0540938 | − | 0.335865i | ||||
\(496\) | 23.4824i | 1.05439i | ||||||||
\(497\) | −3.17690 | + | 2.03661i | −0.142503 | + | 0.0913543i | ||||
\(498\) | 2.87569 | + | 14.9841i | 0.128863 | + | 0.671454i | ||||
\(499\) | − | 25.8717i | − | 1.15818i | −0.815264 | − | 0.579089i | \(-0.803408\pi\) | ||
0.815264 | − | 0.579089i | \(-0.196592\pi\) | |||||||
\(500\) | −1.71982 | + | 0.890274i | −0.0769126 | + | 0.0398143i | ||||
\(501\) | −12.5760 | − | 25.9409i | −0.561855 | − | 1.15895i | ||||
\(502\) | 5.93311 | + | 22.1427i | 0.264808 | + | 0.988276i | ||||
\(503\) | −7.07515 | − | 7.07515i | −0.315466 | − | 0.315466i | 0.531557 | − | 0.847023i | \(-0.321607\pi\) |
−0.847023 | + | 0.531557i | \(0.821607\pi\) | |||||||
\(504\) | −3.80391 | − | 23.0016i | −0.169440 | − | 1.02457i | ||||
\(505\) | 27.7523 | + | 16.5944i | 1.23496 | + | 0.738441i | ||||
\(506\) | −3.10932 | + | 5.38550i | −0.138226 | + | 0.239415i | ||||
\(507\) | −11.9038 | + | 10.2983i | −0.528667 | + | 0.457362i | ||||
\(508\) | 1.50891 | + | 0.404312i | 0.0669473 | + | 0.0179385i | ||||
\(509\) | 5.63562 | 0.249794 | 0.124897 | − | 0.992170i | \(-0.460140\pi\) | ||||
0.124897 | + | 0.992170i | \(0.460140\pi\) | |||||||
\(510\) | 37.2189 | − | 6.55382i | 1.64808 | − | 0.290208i | ||||
\(511\) | −18.8002 | + | 20.6341i | −0.831673 | + | 0.912800i | ||||
\(512\) | −17.5555 | − | 17.5555i | −0.775849 | − | 0.775849i | ||||
\(513\) | 22.4516 | + | 11.6420i | 0.991263 | + | 0.514006i | ||||
\(514\) | 13.3242 | − | 23.0783i | 0.587707 | − | 1.01794i | ||||
\(515\) | −19.8329 | + | 4.99011i | −0.873944 | + | 0.219890i | ||||
\(516\) | 0.490926 | − | 0.237999i | 0.0216118 | − | 0.0104773i | ||||
\(517\) | −1.84818 | − | 6.89751i | −0.0812830 | − | 0.303352i | ||||
\(518\) | −2.99806 | − | 4.67666i | −0.131727 | − | 0.205481i | ||||
\(519\) | 31.7370 | − | 15.3860i | 1.39310 | − | 0.675368i | ||||
\(520\) | 6.32264 | + | 11.3489i | 0.277266 | + | 0.497681i | ||||
\(521\) | 38.8935 | + | 22.4552i | 1.70396 | + | 0.983780i | 0.941669 | + | 0.336542i | \(0.109257\pi\) |
0.762288 | + | 0.647238i | \(0.224076\pi\) | |||||||
\(522\) | −7.48371 | + | 17.4002i | −0.327553 | + | 0.761585i | ||||
\(523\) | 6.13172 | − | 22.8839i | 0.268122 | − | 1.00064i | −0.692190 | − | 0.721715i | \(-0.743354\pi\) |
0.960312 | − | 0.278928i | \(-0.0899792\pi\) | |||||||
\(524\) | 0.691305 | + | 1.19738i | 0.0301998 | + | 0.0523076i | ||||
\(525\) | −21.7631 | − | 7.16704i | −0.949821 | − | 0.312795i | ||||
\(526\) | 8.09142 | − | 14.0148i | 0.352803 | − | 0.611073i | ||||
\(527\) | 33.0823 | + | 33.0823i | 1.44109 | + | 1.44109i | ||||
\(528\) | 2.32138 | − | 6.69010i | 0.101025 | − | 0.291149i | ||||
\(529\) | 6.37126i | 0.277011i | ||||||||
\(530\) | −26.4926 | − | 0.405600i | −1.15076 | − | 0.0176181i | ||||
\(531\) | −11.1520 | − | 8.79852i | −0.483954 | − | 0.381823i | ||||
\(532\) | −2.22812 | + | 0.103618i | −0.0966010 | + | 0.00449242i | ||||
\(533\) | −8.79575 | − | 2.35681i | −0.380986 | − | 0.102085i | ||||
\(534\) | 31.2442 | + | 21.1827i | 1.35207 | + | 0.916664i | ||||
\(535\) | −4.71747 | − | 4.86416i | −0.203954 | − | 0.210296i | ||||
\(536\) | 4.97484 | + | 8.61668i | 0.214880 | + | 0.372184i | ||||
\(537\) | 40.2804 | + | 13.9768i | 1.73823 | + | 0.603143i | ||||
\(538\) | 4.22899 | − | 15.7828i | 0.182324 | − | 0.680444i | ||||
\(539\) | −3.29717 | + | 7.17690i | −0.142019 | + | 0.309131i | ||||
\(540\) | −1.05798 | − | 1.71204i | −0.0455280 | − | 0.0736745i | ||||
\(541\) | −13.8479 | − | 23.9852i | −0.595366 | − | 1.03120i | −0.993495 | − | 0.113875i | \(-0.963674\pi\) |
0.398129 | − | 0.917330i | \(-0.369660\pi\) | |||||||
\(542\) | 6.27491 | − | 6.27491i | 0.269530 | − | 0.269530i | ||||
\(543\) | −1.08710 | − | 5.66449i | −0.0466521 | − | 0.243086i | ||||
\(544\) | −7.05344 | −0.302414 | ||||||||
\(545\) | −26.4381 | + | 14.7291i | −1.13249 | + | 0.630926i | ||||
\(546\) | −3.47406 | + | 11.7482i | −0.148676 | + | 0.502775i | ||||
\(547\) | −10.0455 | + | 37.4904i | −0.429516 | + | 1.60298i | 0.324343 | + | 0.945940i | \(0.394857\pi\) |
−0.753859 | + | 0.657036i | \(0.771810\pi\) | |||||||
\(548\) | 2.33997 | + | 0.626994i | 0.0999586 | + | 0.0267838i | ||||
\(549\) | −15.4310 | − | 2.24352i | −0.658581 | − | 0.0957509i | ||||
\(550\) | −5.22406 | − | 5.55416i | −0.222755 | − | 0.236830i | ||||
\(551\) | 19.6902 | + | 11.3682i | 0.838832 | + | 0.484300i | ||||
\(552\) | 3.91015 | + | 20.3743i | 0.166427 | + | 0.867187i | ||||
\(553\) | −1.54132 | + | 0.0716788i | −0.0655435 | + | 0.00304809i | ||||
\(554\) | −37.2265 | − | 21.4927i | −1.58160 | − | 0.913139i | ||||
\(555\) | −4.92767 | − | 3.45209i | −0.209168 | − | 0.146533i | ||||
\(556\) | − | 3.73831i | − | 0.158540i | ||||||
\(557\) | −2.72945 | + | 0.731353i | −0.115650 | + | 0.0309884i | −0.316180 | − | 0.948699i | \(-0.602400\pi\) |
0.200530 | + | 0.979688i | \(0.435734\pi\) | |||||||
\(558\) | −10.3819 | + | 24.1388i | −0.439503 | + | 1.02188i | ||||
\(559\) | −3.59693 | −0.152134 | ||||||||
\(560\) | −18.8902 | − | 10.1350i | −0.798258 | − | 0.428282i | ||||
\(561\) | −6.15471 | − | 12.6955i | −0.259852 | − | 0.536004i | ||||
\(562\) | −2.07206 | − | 2.07206i | −0.0874044 | − | 0.0874044i | ||||
\(563\) | −7.73704 | + | 28.8750i | −0.326077 | + | 1.21694i | 0.587147 | + | 0.809480i | \(0.300251\pi\) |
−0.913224 | + | 0.407457i | \(0.866416\pi\) | |||||||
\(564\) | −1.57161 | − | 1.06551i | −0.0661768 | − | 0.0448660i | ||||
\(565\) | −31.2856 | − | 8.89844i | −1.31620 | − | 0.374360i | ||||
\(566\) | 21.3714i | 0.898306i | ||||||||
\(567\) | 5.71295 | − | 23.1163i | 0.239921 | − | 0.970792i | ||||
\(568\) | −2.96240 | + | 2.96240i | −0.124300 | + | 0.124300i | ||||
\(569\) | −26.5539 | − | 15.3309i | −1.11320 | − | 0.642705i | −0.173542 | − | 0.984826i | \(-0.555521\pi\) |
−0.939656 | + | 0.342122i | \(0.888855\pi\) | |||||||
\(570\) | 23.0934 | − | 10.7621i | 0.967277 | − | 0.450776i | ||||
\(571\) | 6.18911 | + | 10.7199i | 0.259006 | + | 0.448612i | 0.965976 | − | 0.258632i | \(-0.0832717\pi\) |
−0.706970 | + | 0.707244i | \(0.749938\pi\) | |||||||
\(572\) | 0.273343 | − | 0.273343i | 0.0114291 | − | 0.0114291i | ||||
\(573\) | −5.14735 | + | 14.8344i | −0.215034 | + | 0.619716i | ||||
\(574\) | 15.6867 | − | 4.99498i | 0.654749 | − | 0.208486i | ||||
\(575\) | 19.5237 | + | 5.87753i | 0.814193 | + | 0.245110i | ||||
\(576\) | −9.51514 | − | 23.8768i | −0.396464 | − | 0.994868i | ||||
\(577\) | 10.2467 | + | 38.2414i | 0.426578 | + | 1.59201i | 0.760454 | + | 0.649392i | \(0.224977\pi\) |
−0.333876 | + | 0.942617i | \(0.608357\pi\) | |||||||
\(578\) | 33.5654 | − | 33.5654i | 1.39614 | − | 1.39614i | ||||
\(579\) | 7.77399 | + | 0.562175i | 0.323076 | + | 0.0233632i | ||||
\(580\) | −0.880558 | − | 1.58056i | −0.0365632 | − | 0.0656294i | ||||
\(581\) | −5.23193 | − | 16.4308i | −0.217057 | − | 0.681664i | ||||
\(582\) | 9.32132 | − | 1.78891i | 0.386381 | − | 0.0741526i | ||||
\(583\) | 2.56014 | + | 9.55459i | 0.106030 | + | 0.395711i | ||||
\(584\) | −15.4952 | + | 26.8384i | −0.641194 | + | 1.11058i | ||||
\(585\) | 1.35254 | + | 13.1995i | 0.0559206 | + | 0.545733i | ||||
\(586\) | −21.6201 | + | 12.4824i | −0.893118 | + | 0.515642i | ||||
\(587\) | 18.1602 | + | 4.86602i | 0.749552 | + | 0.200842i | 0.613320 | − | 0.789835i | \(-0.289834\pi\) |
0.136233 | + | 0.990677i | \(0.456500\pi\) | |||||||
\(588\) | 0.585526 | + | 2.01683i | 0.0241467 | + | 0.0831725i | ||||
\(589\) | 27.3157 | + | 15.7707i | 1.12552 | + | 0.649822i | ||||
\(590\) | −13.8777 | + | 3.49173i | −0.571336 | + | 0.143752i | ||||
\(591\) | −8.40021 | − | 5.69510i | −0.345538 | − | 0.234265i | ||||
\(592\) | −3.98037 | − | 3.98037i | −0.163592 | − | 0.163592i | ||||
\(593\) | −3.98088 | + | 14.8568i | −0.163475 | + | 0.610098i | 0.834755 | + | 0.550622i | \(0.185609\pi\) |
−0.998230 | + | 0.0594754i | \(0.981057\pi\) | |||||||
\(594\) | 5.34407 | − | 5.85078i | 0.219270 | − | 0.240060i | ||||
\(595\) | −40.8911 | + | 12.3345i | −1.67637 | + | 0.505664i | ||||
\(596\) | 1.02242 | + | 1.77088i | 0.0418798 | + | 0.0725380i | ||||
\(597\) | 9.20758 | − | 26.5358i | 0.376841 | − | 1.08604i | ||||
\(598\) | 2.82156 | − | 10.5302i | 0.115382 | − | 0.430613i | ||||
\(599\) | 22.1022 | − | 12.7607i | 0.903073 | − | 0.521390i | 0.0248773 | − | 0.999691i | \(-0.492080\pi\) |
0.878196 | + | 0.478301i | \(0.158747\pi\) | |||||||
\(600\) | −25.3033 | − | 2.61055i | −1.03300 | − | 0.106575i | ||||
\(601\) | 19.9810 | − | 11.5360i | 0.815041 | − | 0.470564i | −0.0336625 | − | 0.999433i | \(-0.510717\pi\) |
0.848703 | + | 0.528869i | \(0.177384\pi\) | |||||||
\(602\) | 5.47453 | − | 3.50954i | 0.223125 | − | 0.143038i | ||||
\(603\) | 1.19051 | + | 10.0921i | 0.0484812 | + | 0.410984i | ||||
\(604\) | 2.75818 | − | 1.59243i | 0.112229 | − | 0.0647952i | ||||
\(605\) | 11.1621 | − | 18.6675i | 0.453805 | − | 0.758941i | ||||
\(606\) | 14.7678 | + | 30.4619i | 0.599900 | + | 1.23743i | ||||
\(607\) | 30.8890 | − | 30.8890i | 1.25375 | − | 1.25375i | 0.299717 | − | 0.954028i | \(-0.403108\pi\) |
0.954028 | − | 0.299717i | \(-0.0968923\pi\) | |||||||
\(608\) | −4.59321 | + | 1.23075i | −0.186279 | + | 0.0499133i | ||||
\(609\) | 6.07040 | − | 20.5282i | 0.245985 | − | 0.831843i | ||||
\(610\) | −11.2766 | + | 10.9365i | −0.456576 | + | 0.442806i | ||||
\(611\) | 6.25917 | + | 10.8412i | 0.253219 | + | 0.438588i | ||||
\(612\) | −3.44629 | − | 1.48223i | −0.139308 | − | 0.0599156i | ||||
\(613\) | −1.81007 | − | 6.75527i | −0.0731080 | − | 0.272843i | 0.919690 | − | 0.392646i | \(-0.128440\pi\) |
−0.992798 | + | 0.119803i | \(0.961774\pi\) | |||||||
\(614\) | −6.64782 | + | 11.5144i | −0.268284 | + | 0.464682i | ||||
\(615\) | 13.6613 | − | 11.4578i | 0.550878 | − | 0.462024i | ||||
\(616\) | −1.87351 | + | 8.56584i | −0.0754859 | + | 0.345128i | ||||
\(617\) | 28.5883 | − | 7.66021i | 1.15092 | − | 0.308388i | 0.367587 | − | 0.929989i | \(-0.380184\pi\) |
0.783334 | + | 0.621601i | \(0.213517\pi\) | |||||||
\(618\) | −20.2278 | − | 7.01880i | −0.813682 | − | 0.282338i | ||||
\(619\) | 15.3861 | 0.618420 | 0.309210 | − | 0.950994i | \(-0.399935\pi\) | ||||
0.309210 | + | 0.950994i | \(0.399935\pi\) | |||||||
\(620\) | −1.22157 | − | 2.19267i | −0.0490596 | − | 0.0880599i | ||||
\(621\) | −4.55307 | + | 20.6941i | −0.182708 | + | 0.830425i | ||||
\(622\) | 14.3889 | − | 14.3889i | 0.576943 | − | 0.576943i | ||||
\(623\) | −37.8971 | − | 19.5915i | −1.51832 | − | 0.784916i | ||||
\(624\) | −0.895389 | + | 12.3818i | −0.0358442 | + | 0.495670i | ||||
\(625\) | −13.8015 | + | 20.8451i | −0.552061 | + | 0.833804i | ||||
\(626\) | −27.9208 | + | 16.1201i | −1.11594 | + | 0.644289i | ||||
\(627\) | −6.22317 | − | 7.19339i | −0.248529 | − | 0.287276i | ||||
\(628\) | −3.07080 | + | 0.822820i | −0.122538 | + | 0.0328341i | ||||
\(629\) | −11.2152 | −0.447179 | ||||||||
\(630\) | −14.9374 | − | 18.7700i | −0.595120 | − | 0.747814i | ||||
\(631\) | −37.4968 | −1.49272 | −0.746361 | − | 0.665541i | \(-0.768201\pi\) | ||||
−0.746361 | + | 0.665541i | \(0.768201\pi\) | |||||||
\(632\) | −1.65463 | + | 0.443358i | −0.0658178 | + | 0.0176358i | ||||
\(633\) | −1.87010 | + | 5.38955i | −0.0743300 | + | 0.214215i | ||||
\(634\) | −3.31722 | + | 1.91519i | −0.131743 | + | 0.0760621i | ||||
\(635\) | 19.5567 | − | 4.92060i | 0.776083 | − | 0.195268i | ||||
\(636\) | 2.17703 | + | 1.47596i | 0.0863250 | + | 0.0585258i | ||||
\(637\) | 2.32686 | − | 13.6489i | 0.0921935 | − | 0.540788i | ||||
\(638\) | 5.03727 | − | 5.03727i | 0.199427 | − | 0.199427i | ||||
\(639\) | −3.97492 | + | 1.58404i | −0.157245 | + | 0.0626637i | ||||
\(640\) | −20.7031 | − | 5.88848i | −0.818360 | − | 0.232763i | ||||
\(641\) | 19.4125 | 0.766747 | 0.383373 | − | 0.923593i | \(-0.374762\pi\) | ||||
0.383373 | + | 0.923593i | \(0.374762\pi\) | |||||||
\(642\) | −1.33706 | − | 6.96692i | −0.0527696 | − | 0.274962i | ||||
\(643\) | 35.2407 | − | 9.44271i | 1.38976 | − | 0.372384i | 0.515101 | − | 0.857130i | \(-0.327754\pi\) |
0.874655 | + | 0.484745i | \(0.161088\pi\) | |||||||
\(644\) | −0.567012 | − | 1.78069i | −0.0223434 | − | 0.0701692i | ||||
\(645\) | 4.04103 | − | 5.76835i | 0.159116 | − | 0.227129i | ||||
\(646\) | 23.7462 | − | 41.1297i | 0.934283 | − | 1.61823i | ||||
\(647\) | 1.84950 | + | 6.90243i | 0.0727114 | + | 0.271363i | 0.992705 | − | 0.120572i | \(-0.0384727\pi\) |
−0.919993 | + | 0.391934i | \(0.871806\pi\) | |||||||
\(648\) | 0.712537 | − | 26.4260i | 0.0279911 | − | 1.03811i | ||||
\(649\) | 2.67122 | + | 4.62669i | 0.104855 | + | 0.181614i | ||||
\(650\) | 11.3661 | + | 7.03475i | 0.445817 | + | 0.275925i | ||||
\(651\) | 8.42129 | − | 28.4782i | 0.330057 | − | 1.11615i | ||||
\(652\) | 3.41594 | − | 0.915299i | 0.133779 | − | 0.0358459i | ||||
\(653\) | 0.767027 | − | 0.767027i | 0.0300161 | − | 0.0300161i | −0.691939 | − | 0.721956i | \(-0.743244\pi\) |
0.721956 | + | 0.691939i | \(0.243244\pi\) | |||||||
\(654\) | −31.6021 | − | 2.28530i | −1.23574 | − | 0.0893623i | ||||
\(655\) | 15.3189 | + | 9.15985i | 0.598558 | + | 0.357905i | ||||
\(656\) | 14.4470 | − | 8.34095i | 0.564059 | − | 0.325660i | ||||
\(657\) | −25.3686 | + | 18.9283i | −0.989725 | + | 0.738464i | ||||
\(658\) | −20.1043 | − | 10.3932i | −0.783746 | − | 0.405169i | ||||
\(659\) | −20.3792 | + | 11.7659i | −0.793860 | + | 0.458335i | −0.841320 | − | 0.540538i | \(-0.818221\pi\) |
0.0474598 | + | 0.998873i | \(0.484887\pi\) | |||||||
\(660\) | 0.131265 | + | 0.745450i | 0.00510948 | + | 0.0290166i | ||||
\(661\) | 20.2332 | − | 11.6817i | 0.786981 | − | 0.454364i | −0.0519176 | − | 0.998651i | \(-0.516533\pi\) |
0.838899 | + | 0.544288i | \(0.183200\pi\) | |||||||
\(662\) | 2.27866 | − | 8.50408i | 0.0885627 | − | 0.330521i | ||||
\(663\) | 16.1822 | + | 18.7051i | 0.628466 | + | 0.726446i | ||||
\(664\) | −9.57187 | − | 16.5790i | −0.371461 | − | 0.643389i | ||||
\(665\) | −24.4761 | + | 15.1673i | −0.949143 | + | 0.588161i | ||||
\(666\) | −2.33184 | − | 5.85141i | −0.0903570 | − | 0.226738i | ||||
\(667\) | −4.93026 | + | 18.4000i | −0.190900 | + | 0.712450i | ||||
\(668\) | 2.03859 | + | 2.03859i | 0.0788752 | + | 0.0788752i | ||||
\(669\) | −2.47326 | + | 34.2013i | −0.0956217 | + | 1.32230i | ||||
\(670\) | 8.78650 | + | 5.25385i | 0.339452 | + | 0.202974i | ||||
\(671\) | 5.07889 | + | 2.93230i | 0.196068 | + | 0.113200i | ||||
\(672\) | 2.13815 | + | 3.93365i | 0.0824809 | + | 0.151744i | ||||
\(673\) | −6.55745 | − | 1.75706i | −0.252771 | − | 0.0677298i | 0.130208 | − | 0.991487i | \(-0.458435\pi\) |
−0.382980 | + | 0.923757i | \(0.625102\pi\) | |||||||
\(674\) | −6.29720 | + | 3.63569i | −0.242559 | + | 0.140041i | ||||
\(675\) | −22.6874 | − | 12.6602i | −0.873240 | − | 0.487290i | ||||
\(676\) | 0.787050 | − | 1.36321i | 0.0302711 | − | 0.0524311i | ||||
\(677\) | −5.31814 | − | 19.8476i | −0.204393 | − | 0.762804i | −0.989634 | − | 0.143614i | \(-0.954128\pi\) |
0.785241 | − | 0.619190i | \(-0.212539\pi\) | |||||||
\(678\) | −22.2797 | − | 25.7532i | −0.855647 | − | 0.989046i | ||||
\(679\) | −10.2213 | + | 3.25468i | −0.392257 | + | 0.124903i | ||||
\(680\) | −41.4226 | + | 23.0772i | −1.58849 | + | 0.884971i | ||||
\(681\) | −20.5025 | + | 30.2409i | −0.785656 | + | 1.15883i | ||||
\(682\) | 6.98806 | − | 6.98806i | 0.267587 | − | 0.267587i | ||||
\(683\) | 2.35635 | + | 8.79403i | 0.0901634 | + | 0.336494i | 0.996242 | − | 0.0866155i | \(-0.0276051\pi\) |
−0.906078 | + | 0.423110i | \(0.860938\pi\) | |||||||
\(684\) | −2.50286 | − | 0.363890i | −0.0956993 | − | 0.0139137i | ||||
\(685\) | 30.3278 | − | 7.63069i | 1.15877 | − | 0.291554i | ||||
\(686\) | 9.77579 | + | 23.0439i | 0.373242 | + | 0.879820i | ||||
\(687\) | 22.4715 | − | 4.31263i | 0.857340 | − | 0.164537i | ||||
\(688\) | 4.65944 | − | 4.65944i | 0.177640 | − | 0.177640i | ||||
\(689\) | −8.67035 | − | 15.0175i | −0.330314 | − | 0.572120i | ||||
\(690\) | 13.7172 | + | 16.3553i | 0.522207 | + | 0.622634i | ||||
\(691\) | −5.87561 | − | 3.39229i | −0.223519 | − | 0.129049i | 0.384060 | − | 0.923308i | \(-0.374526\pi\) |
−0.607579 | + | 0.794260i | \(0.707859\pi\) | |||||||
\(692\) | −2.49408 | + | 2.49408i | −0.0948107 | + | 0.0948107i | ||||
\(693\) | −5.21446 | + | 7.28089i | −0.198081 | + | 0.276578i | ||||
\(694\) | − | 40.4412i | − | 1.53513i | ||||||
\(695\) | −23.4869 | − | 42.1581i | −0.890910 | − | 1.59915i | ||||
\(696\) | 1.71414 | − | 23.7038i | 0.0649742 | − | 0.898491i | ||||
\(697\) | 8.60221 | − | 32.1039i | 0.325832 | − | 1.21602i | ||||
\(698\) | 14.0427 | + | 14.0427i | 0.531525 | + | 0.531525i | ||||
\(699\) | −10.8503 | − | 0.784637i | −0.410396 | − | 0.0296777i | ||||
\(700\) | 2.29111 | − | 0.0363262i | 0.0865958 | − | 0.00137300i | ||||
\(701\) | 27.7045 | 1.04638 | 0.523192 | − | 0.852215i | \(-0.324741\pi\) | ||||
0.523192 | + | 0.852215i | \(0.324741\pi\) | |||||||
\(702\) | −6.39462 | + | 12.3321i | −0.241350 | + | 0.465444i | ||||
\(703\) | −7.30334 | + | 1.95692i | −0.275451 | + | 0.0738068i | ||||
\(704\) | 9.66681i | 0.364332i | ||||||||
\(705\) | −24.4179 | − | 2.14198i | −0.919631 | − | 0.0806717i | ||||
\(706\) | 2.48895 | + | 1.43699i | 0.0936728 | + | 0.0540820i | ||||
\(707\) | −20.6483 | − | 32.2093i | −0.776561 | − | 1.21136i | ||||
\(708\) | 1.34207 | + | 0.465680i | 0.0504379 | + | 0.0175013i | ||||
\(709\) | 33.8169 | + | 19.5242i | 1.27002 | + | 0.733247i | 0.974992 | − | 0.222241i | \(-0.0713370\pi\) |
0.295030 | + | 0.955488i | \(0.404670\pi\) | |||||||
\(710\) | −1.17928 | + | 4.14619i | −0.0442578 | + | 0.155604i | ||||
\(711\) | −1.73137 | − | 0.251724i | −0.0649316 | − | 0.00944040i | ||||
\(712\) | −45.7487 | − | 12.2583i | −1.71450 | − | 0.459400i | ||||
\(713\) | −6.83962 | + | 25.5258i | −0.256146 | + | 0.955948i | ||||
\(714\) | −42.8800 | − | 12.6801i | −1.60474 | − | 0.474540i | ||||
\(715\) | 1.36522 | − | 4.79993i | 0.0510565 | − | 0.179507i | ||||
\(716\) | −4.26384 | −0.159347 | ||||||||
\(717\) | −0.161367 | − | 0.0559924i | −0.00602637 | − | 0.00209107i | ||||
\(718\) | −11.8068 | + | 11.8068i | −0.440625 | + | 0.440625i | ||||
\(719\) | 6.44064 | + | 11.1555i | 0.240195 | + | 0.416030i | 0.960770 | − | 0.277347i | \(-0.0894552\pi\) |
−0.720575 | + | 0.693378i | \(0.756122\pi\) | |||||||
\(720\) | −18.8506 | − | 15.3465i | −0.702522 | − | 0.571930i | ||||
\(721\) | 23.6392 | + | 5.17034i | 0.880371 | + | 0.192554i | ||||
\(722\) | 1.64040 | − | 6.12204i | 0.0610492 | − | 0.227839i | ||||
\(723\) | −4.72525 | − | 24.6215i | −0.175734 | − | 0.915683i | ||||
\(724\) | 0.288407 | + | 0.499535i | 0.0107186 | + | 0.0185651i | ||||
\(725\) | −19.8606 | − | 12.2922i | −0.737605 | − | 0.456520i | ||||
\(726\) | 20.4901 | − | 9.93348i | 0.760458 | − | 0.368666i | ||||
\(727\) | −5.19361 | − | 1.39162i | −0.192620 | − | 0.0516124i | 0.161219 | − | 0.986919i | \(-0.448457\pi\) |
−0.353839 | + | 0.935306i | \(0.615124\pi\) | |||||||
\(728\) | −0.714077 | − | 15.3549i | −0.0264655 | − | 0.569090i | ||||
\(729\) | 11.3324 | − | 24.5067i | 0.419718 | − | 0.907655i | ||||
\(730\) | −0.488125 | + | 31.8829i | −0.0180663 | + | 1.18004i | ||||
\(731\) | − | 13.1286i | − | 0.485577i | ||||||
\(732\) | 1.53146 | − | 0.293910i | 0.0566042 | − | 0.0108632i | ||||
\(733\) | −17.7892 | − | 17.7892i | −0.657058 | − | 0.657058i | 0.297625 | − | 0.954683i | \(-0.403806\pi\) |
−0.954683 | + | 0.297625i | \(0.903806\pi\) | |||||||
\(734\) | 3.87009 | − | 6.70319i | 0.142848 | − | 0.247419i | ||||
\(735\) | 19.2744 | + | 19.0656i | 0.710947 | + | 0.703246i | ||||
\(736\) | −1.99203 | − | 3.45030i | −0.0734272 | − | 0.127180i | ||||
\(737\) | 0.989193 | − | 3.69172i | 0.0364374 | − | 0.135986i | ||||
\(738\) | 18.5384 | − | 2.18687i | 0.682410 | − | 0.0804997i | ||||
\(739\) | −31.0654 | − | 17.9356i | −1.14276 | − | 0.659771i | −0.195646 | − | 0.980675i | \(-0.562680\pi\) |
−0.947112 | + | 0.320903i | \(0.896014\pi\) | |||||||
\(740\) | 0.578730 | + | 0.164606i | 0.0212745 | + | 0.00605103i | ||||
\(741\) | 13.8017 | + | 9.35717i | 0.507019 | + | 0.343744i | ||||
\(742\) | 27.8489 | + | 14.3969i | 1.02236 | + | 0.528527i | ||||
\(743\) | −2.71208 | − | 10.1216i | −0.0994966 | − | 0.371326i | 0.898166 | − | 0.439656i | \(-0.144900\pi\) |
−0.997663 | + | 0.0683297i | \(0.978233\pi\) | |||||||
\(744\) | 2.37797 | − | 32.8837i | 0.0871807 | − | 1.20557i | ||||
\(745\) | 22.6561 | + | 13.5471i | 0.830055 | + | 0.496328i | ||||
\(746\) | −3.54526 | + | 6.14057i | −0.129801 | + | 0.224822i | ||||
\(747\) | −2.29060 | − | 19.4178i | −0.0838088 | − | 0.710462i | ||||
\(748\) | 0.997685 | + | 0.997685i | 0.0364790 | + | 0.0364790i | ||||
\(749\) | 2.43260 | + | 7.63956i | 0.0888854 | + | 0.279143i | ||||
\(750\) | −24.0510 | + | 10.3244i | −0.878219 | + | 0.376995i | ||||
\(751\) | 6.42969 | 0.234623 | 0.117311 | − | 0.993095i | \(-0.462572\pi\) | ||||
0.117311 | + | 0.993095i | \(0.462572\pi\) | |||||||
\(752\) | −22.1517 | − | 5.93553i | −0.807790 | − | 0.216447i | ||||
\(753\) | −5.53681 | − | 28.8502i | −0.201773 | − | 1.05136i | ||||
\(754\) | −6.24422 | + | 10.8153i | −0.227401 | + | 0.393870i | ||||
\(755\) | 21.0999 | − | 35.2873i | 0.767904 | − | 1.28424i | ||||
\(756\) | 0.218067 | + | 2.37129i | 0.00793102 | + | 0.0862428i | ||||
\(757\) | 17.1805 | + | 17.1805i | 0.624435 | + | 0.624435i | 0.946662 | − | 0.322227i | \(-0.104432\pi\) |
−0.322227 | + | 0.946662i | \(0.604432\pi\) | |||||||
\(758\) | 6.75440 | + | 25.2078i | 0.245331 | + | 0.915588i | ||||
\(759\) | 4.47198 | − | 6.59612i | 0.162323 | − | 0.239424i | ||||
\(760\) | −22.9478 | + | 22.2557i | −0.832403 | + | 0.807299i | ||||
\(761\) | − | 15.6306i | − | 0.566609i | −0.959030 | − | 0.283305i | \(-0.908569\pi\) | ||
0.959030 | − | 0.283305i | \(-0.0914308\pi\) | |||||||
\(762\) | 19.9461 | + | 6.92103i | 0.722570 | + | 0.250723i | ||||
\(763\) | 35.7704 | − | 1.66350i | 1.29498 | − | 0.0602228i | ||||
\(764\) | − | 1.57028i | − | 0.0568108i | ||||||
\(765\) | −48.1774 | + | 4.93668i | −1.74186 | + | 0.178486i | ||||
\(766\) | 12.6703 | + | 7.31522i | 0.457798 | + | 0.264310i | ||||
\(767\) | −6.62252 | − | 6.62252i | −0.239125 | − | 0.239125i | ||||
\(768\) | 4.67457 | + | 5.40336i | 0.168679 | + | 0.194977i | ||||
\(769\) | −18.1283 | + | 31.3992i | −0.653725 | + | 1.13228i | 0.328487 | + | 0.944508i | \(0.393461\pi\) |
−0.982212 | + | 0.187776i | \(0.939872\pi\) | |||||||
\(770\) | 2.60544 | + | 8.63754i | 0.0938935 | + | 0.311275i | ||||
\(771\) | −19.1636 | + | 28.2661i | −0.690160 | + | 1.01798i | ||||
\(772\) | −0.752907 | + | 0.201741i | −0.0270977 | + | 0.00726082i | ||||
\(773\) | −2.53607 | + | 0.679537i | −0.0912160 | + | 0.0244412i | −0.304138 | − | 0.952628i | \(-0.598369\pi\) |
0.212922 | + | 0.977069i | \(0.431702\pi\) | |||||||
\(774\) | 6.84970 | − | 2.72967i | 0.246207 | − | 0.0981159i | ||||
\(775\) | −27.5521 | − | 17.0526i | −0.989701 | − | 0.612547i | ||||
\(776\) | −10.3135 | + | 5.95447i | −0.370231 | + | 0.213753i | ||||
\(777\) | 3.39972 | + | 6.25462i | 0.121964 | + | 0.224383i | ||||
\(778\) | 5.24338 | + | 19.5686i | 0.187984 | + | 0.701567i | ||||
\(779\) | − | 22.4071i | − | 0.802817i | ||||||
\(780\) | −0.560506 | − | 1.20273i | −0.0200693 | − | 0.0430648i | ||||
\(781\) | 1.60929 | 0.0575850 | ||||||||
\(782\) | 38.4346 | + | 10.2985i | 1.37442 | + | 0.368274i | ||||
\(783\) | 11.1736 | − | 21.5484i | 0.399314 | − | 0.770078i | ||||
\(784\) | 14.6665 | + | 20.6949i | 0.523803 | + | 0.739102i | ||||
\(785\) | −29.4608 | + | 28.5723i | −1.05150 | + | 1.01979i | ||||
\(786\) | 8.15159 | + | 16.8145i | 0.290758 | + | 0.599754i | ||||
\(787\) | 9.91586 | + | 2.65695i | 0.353462 | + | 0.0947099i | 0.431181 | − | 0.902265i | \(-0.358097\pi\) |
−0.0777190 | + | 0.996975i | \(0.524764\pi\) | |||||||
\(788\) | 0.980344 | + | 0.262682i | 0.0349233 | + | 0.00935767i | ||||
\(789\) | −11.6375 | + | 17.1652i | −0.414306 | + | 0.611096i | ||||
\(790\) | −1.26524 | + | 1.22709i | −0.0450153 | + | 0.0436577i | ||||
\(791\) | 28.4484 | + | 25.9200i | 1.01151 | + | 0.921610i | ||||
\(792\) | −3.92823 | + | 9.13343i | −0.139584 | + | 0.324542i | ||||
\(793\) | −9.93071 | − | 2.66092i | −0.352650 | − | 0.0944922i | ||||
\(794\) | 33.0927 | 1.17442 | ||||||||
\(795\) | 33.8242 | + | 2.96712i | 1.19962 | + | 0.105233i | ||||
\(796\) | 2.80892i | 0.0995595i | ||||||||
\(797\) | 4.55893 | + | 17.0142i | 0.161486 | + | 0.602672i | 0.998462 | + | 0.0554340i | \(0.0176542\pi\) |
−0.836977 | + | 0.547238i | \(0.815679\pi\) | |||||||
\(798\) | −30.1360 | − | 0.775199i | −1.06680 | − | 0.0274417i | ||||
\(799\) | −39.5697 | + | 22.8456i | −1.39987 | + | 0.808218i | ||||
\(800\) | 4.75506 | − | 1.11929i | 0.168117 | − | 0.0395731i | ||||
\(801\) | −37.9771 | − | 29.9627i | −1.34185 | − | 1.05868i | ||||
\(802\) | 24.9842 | − | 6.69449i | 0.882222 | − | 0.236391i | ||||
\(803\) | 11.4986 | − | 3.08104i | 0.405777 | − | 0.108728i | ||||
\(804\) | −0.443328 | − | 0.914465i | −0.0156350 | − | 0.0322507i | ||||
\(805\) | −17.5820 | − | 16.5190i | −0.619685 | − | 0.582219i | ||||
\(806\) | −8.66243 | + | 15.0038i | −0.305121 | + | 0.528485i | ||||
\(807\) | −6.86410 | + | 19.7820i | −0.241628 | + | 0.696359i | ||||
\(808\) | −30.0346 | − | 30.0346i | −1.05661 | − | 1.05661i | ||||
\(809\) | −28.8103 | − | 16.6336i | −1.01291 | − | 0.584807i | −0.100871 | − | 0.994900i | \(-0.532163\pi\) |
−0.912044 | + | 0.410093i | \(0.865496\pi\) | |||||||
\(810\) | −12.5926 | − | 24.1096i | −0.442459 | − | 0.847126i | ||||
\(811\) | 24.4048i | 0.856969i | 0.903549 | + | 0.428485i | \(0.140952\pi\) | ||||
−0.903549 | + | 0.428485i | \(0.859048\pi\) | |||||||
\(812\) | 0.0994499 | + | 2.13848i | 0.00349001 | + | 0.0750460i | ||||
\(813\) | −8.60030 | + | 7.44033i | −0.301626 | + | 0.260944i | ||||
\(814\) | 2.36901i | 0.0830338i | ||||||||
\(815\) | 32.7720 | − | 31.7837i | 1.14795 | − | 1.11333i | ||||
\(816\) | −45.1928 | − | 3.26811i | −1.58207 | − | 0.114407i | ||||
\(817\) | −2.29079 | − | 8.54933i | −0.0801445 | − | 0.299103i | ||||
\(818\) | 23.2436 | + | 23.2436i | 0.812693 | + | 0.812693i | ||||
\(819\) | 5.52627 | − | 14.6949i | 0.193103 | − | 0.513481i | ||||
\(820\) | −0.915084 | + | 1.53038i | −0.0319561 | + | 0.0534432i | ||||
\(821\) | 11.7096 | − | 20.2816i | 0.408667 | − | 0.707832i | −0.586073 | − | 0.810258i | \(-0.699327\pi\) |
0.994741 | + | 0.102426i | \(0.0326603\pi\) | |||||||
\(822\) | 30.9317 | + | 10.7329i | 1.07887 | + | 0.374353i | ||||
\(823\) | −3.61910 | − | 0.969735i | −0.126154 | − | 0.0338028i | 0.195190 | − | 0.980766i | \(-0.437468\pi\) |
−0.321344 | + | 0.946963i | \(0.604134\pi\) | |||||||
\(824\) | 26.8644 | 0.935866 | ||||||||
\(825\) | 6.16380 | + | 7.58195i | 0.214596 | + | 0.263970i | ||||
\(826\) | 16.5411 | + | 3.61785i | 0.575538 | + | 0.125881i | ||||
\(827\) | 4.04776 | + | 4.04776i | 0.140754 | + | 0.140754i | 0.773973 | − | 0.633219i | \(-0.218267\pi\) |
−0.633219 | + | 0.773973i | \(0.718267\pi\) | |||||||
\(828\) | −0.248245 | − | 2.10442i | −0.00862711 | − | 0.0731335i | ||||
\(829\) | −1.13621 | + | 1.96797i | −0.0394622 | + | 0.0683505i | −0.885082 | − | 0.465435i | \(-0.845898\pi\) |
0.845620 | + | 0.533786i | \(0.179231\pi\) | |||||||
\(830\) | −16.9057 | − | 10.1087i | −0.586806 | − | 0.350878i | ||||
\(831\) | 45.5948 | + | 30.9119i | 1.58166 | + | 1.07232i | ||||
\(832\) | −4.38609 | − | 16.3691i | −0.152060 | − | 0.567497i | ||||
\(833\) | 49.8175 | + | 8.49288i | 1.72607 | + | 0.294261i | ||||
\(834\) | 3.64412 | − | 50.3925i | 0.126186 | − | 1.74495i | ||||
\(835\) | 35.7977 | + | 10.1818i | 1.23883 | + | 0.352355i | ||||
\(836\) | 0.823778 | + | 0.475609i | 0.0284910 | + | 0.0164493i | ||||
\(837\) | 15.5009 | − | 29.8935i | 0.535789 | − | 1.03327i | ||||
\(838\) | 1.23000 | − | 4.59044i | 0.0424898 | − | 0.158574i | ||||
\(839\) | 8.94962 | + | 15.5012i | 0.308975 | + | 0.535161i | 0.978138 | − | 0.207955i | \(-0.0666807\pi\) |
−0.669163 | + | 0.743115i | \(0.733347\pi\) | |||||||
\(840\) | 25.4267 | + | 16.1055i | 0.877303 | + | 0.555694i | ||||
\(841\) | −3.58916 | + | 6.21661i | −0.123764 | + | 0.214366i | ||||
\(842\) | 5.97716 | + | 5.97716i | 0.205986 | + | 0.205986i | ||||
\(843\) | 2.45689 | + | 2.83993i | 0.0846199 | + | 0.0978125i | ||||
\(844\) | − | 0.570505i | − | 0.0196376i | ||||||
\(845\) | 0.311070 | − | 20.3182i | 0.0107011 | − | 0.698966i | ||||
\(846\) | −20.1467 | − | 15.8951i | −0.692658 | − | 0.546484i | ||||
\(847\) | −21.6654 | + | 13.8890i | −0.744433 | + | 0.477232i | ||||
\(848\) | 30.6850 | + | 8.22203i | 1.05373 | + | 0.282346i | ||||
\(849\) | 1.97535 | − | 27.3160i | 0.0677938 | − | 0.937482i | ||||
\(850\) | −25.6763 | + | 41.4856i | −0.880691 | + | 1.42295i | ||||
\(851\) | −3.16739 | − | 5.48608i | −0.108577 | − | 0.188060i | ||||
\(852\) | 0.323616 | − | 0.279968i | 0.0110869 | − | 0.00959154i | ||||
\(853\) | −6.71692 | + | 25.0679i | −0.229983 | + | 0.858309i | 0.750363 | + | 0.661025i | \(0.229878\pi\) |
−0.980347 | + | 0.197283i | \(0.936788\pi\) | |||||||
\(854\) | 17.7108 | − | 5.63951i | 0.606051 | − | 0.192980i | ||||
\(855\) | −30.5117 | + | 11.6212i | −1.04348 | + | 0.397436i | ||||
\(856\) | 4.45048 | + | 7.70845i | 0.152114 | + | 0.263469i | ||||
\(857\) | 13.6483 | − | 13.6483i | 0.466216 | − | 0.466216i | −0.434470 | − | 0.900686i | \(-0.643064\pi\) |
0.900686 | + | 0.434470i | \(0.143064\pi\) | |||||||
\(858\) | 3.95113 | − | 3.41822i | 0.134889 | − | 0.116696i | ||||
\(859\) | −20.4351 | −0.697236 | −0.348618 | − | 0.937265i | \(-0.613349\pi\) | ||||
−0.348618 | + | 0.937265i | \(0.613349\pi\) | |||||||
\(860\) | −0.192688 | + | 0.677464i | −0.00657062 | + | 0.0231013i | ||||
\(861\) | −20.5117 | + | 4.93446i | −0.699037 | + | 0.168166i | ||||
\(862\) | 2.88629 | − | 10.7718i | 0.0983075 | − | 0.366889i | ||||
\(863\) | 9.04561 | + | 2.42376i | 0.307916 | + | 0.0825059i | 0.409468 | − | 0.912324i | \(-0.365714\pi\) |
−0.101552 | + | 0.994830i | \(0.532381\pi\) | |||||||
\(864\) | 1.53432 | + | 4.83925i | 0.0521986 | + | 0.164635i | ||||
\(865\) | −12.4568 | + | 43.7962i | −0.423543 | + | 1.48912i | ||||
\(866\) | −32.9159 | − | 19.0040i | −1.11853 | − | 0.645782i | ||||
\(867\) | −46.0042 | + | 39.7994i | −1.56239 | + | 1.35166i | ||||
\(868\) | 0.137964 | + | 2.96666i | 0.00468281 | + | 0.100695i | ||||
\(869\) | 0.569855 | + | 0.329006i | 0.0193310 | + | 0.0111608i | ||||
\(870\) | −10.3292 | − | 22.1644i | −0.350192 | − | 0.751444i | ||||
\(871\) | 6.70013i | 0.227025i | ||||||||
\(872\) | 38.4003 | − | 10.2893i | 1.30040 | − | 0.348440i | ||||
\(873\) | −12.0795 | + | 1.42494i | −0.408828 | + | 0.0482269i | ||||
\(874\) | 26.8256 | 0.907390 | ||||||||
\(875\) | 25.6093 | − | 14.8042i | 0.865753 | − | 0.500472i | ||||
\(876\) | 1.77627 | − | 2.61998i | 0.0600147 | − | 0.0885210i | ||||
\(877\) | −32.4250 | − | 32.4250i | −1.09492 | − | 1.09492i | −0.994995 | − | 0.0999200i | \(-0.968141\pi\) |
−0.0999200 | − | 0.994995i | \(-0.531859\pi\) | |||||||
\(878\) | 4.94772 | − | 18.4651i | 0.166977 | − | 0.623168i | ||||
\(879\) | 28.7876 | − | 13.9561i | 0.970982 | − | 0.470727i | ||||
\(880\) | 4.44929 | + | 7.98629i | 0.149986 | + | 0.269218i | ||||
\(881\) | 27.5074i | 0.926747i | 0.886163 | + | 0.463373i | \(0.153361\pi\) | ||||
−0.886163 | + | 0.463373i | \(0.846639\pi\) | |||||||
\(882\) | 5.92689 | + | 27.7576i | 0.199569 | + | 0.934647i | ||||
\(883\) | 14.3021 | − | 14.3021i | 0.481305 | − | 0.481305i | −0.424244 | − | 0.905548i | \(-0.639460\pi\) |
0.905548 | + | 0.424244i | \(0.139460\pi\) | |||||||
\(884\) | −2.14209 | − | 1.23673i | −0.0720462 | − | 0.0415959i | ||||
\(885\) | 18.0606 | − | 3.18027i | 0.607101 | − | 0.106904i | ||||
\(886\) | −20.6403 | − | 35.7501i | −0.693425 | − | 1.20105i | ||||
\(887\) | −12.4331 | + | 12.4331i | −0.417462 | + | 0.417462i | −0.884328 | − | 0.466866i | \(-0.845383\pi\) |
0.466866 | + | 0.884328i | \(0.345383\pi\) | |||||||
\(888\) | 5.17085 | + | 5.97700i | 0.173522 | + | 0.200575i | ||||
\(889\) | −23.3099 | − | 5.09832i | −0.781791 | − | 0.170992i | ||||
\(890\) | −47.2594 | + | 11.8908i | −1.58414 | + | 0.398581i | ||||
\(891\) | −7.37134 | + | 6.98426i | −0.246949 | + | 0.233982i | ||||
\(892\) | −0.887549 | − | 3.31238i | −0.0297173 | − | 0.110907i | ||||
\(893\) | −21.7815 | + | 21.7815i | −0.728891 | + | 0.728891i | ||||
\(894\) | 12.0559 | + | 24.8681i | 0.403211 | + | 0.831714i | ||||
\(895\) | −48.0847 | + | 26.7887i | −1.60729 | + | 0.895448i | ||||
\(896\) | 18.8256 | + | 17.1524i | 0.628918 | + | 0.573022i | ||||
\(897\) | −4.57971 | + | 13.1985i | −0.152912 | + | 0.440684i | ||||
\(898\) | 3.45591 | + | 12.8976i | 0.115325 | + | 0.430400i | ||||
\(899\) | 15.1363 | − | 26.2168i | 0.504824 | − | 0.874381i | ||||
\(900\) | 2.55852 | + | 0.452357i | 0.0852840 | + | 0.0150786i | ||||
\(901\) | 54.8128 | − | 31.6462i | 1.82608 | − | 1.05429i | ||||
\(902\) | −6.78139 | − | 1.81707i | −0.225796 | − | 0.0605017i | ||||
\(903\) | −7.32169 | + | 3.97974i | −0.243651 | + | 0.132437i | ||||
\(904\) | 37.0023 | + | 21.3633i | 1.23068 | + | 0.710533i | ||||
\(905\) | 6.39091 | + | 3.82142i | 0.212441 | + | 0.127028i | ||||
\(906\) | 38.7326 | − | 18.7773i | 1.28680 | − | 0.623835i | ||||
\(907\) | 27.9569 | + | 27.9569i | 0.928293 | + | 0.928293i | 0.997596 | − | 0.0693025i | \(-0.0220774\pi\) |
−0.0693025 | + | 0.997596i | \(0.522077\pi\) | |||||||
\(908\) | 0.945661 | − | 3.52926i | 0.0313829 | − | 0.117122i | ||||
\(909\) | −16.0600 | − | 40.3001i | −0.532675 | − | 1.33667i | ||||
\(910\) | −8.33096 | − | 13.4441i | −0.276168 | − | 0.445666i | ||||
\(911\) | −4.44294 | − | 7.69539i | −0.147201 | − | 0.254960i | 0.782991 | − | 0.622033i | \(-0.213693\pi\) |
−0.930192 | + | 0.367073i | \(0.880360\pi\) | |||||||
\(912\) | −29.9999 | + | 5.75745i | −0.993395 | + | 0.190648i | ||||
\(913\) | −1.90326 | + | 7.10307i | −0.0629888 | + | 0.235077i | ||||
\(914\) | 21.5387 | − | 12.4354i | 0.712437 | − | 0.411326i | ||||
\(915\) | 15.4241 | − | 12.9363i | 0.509905 | − | 0.427660i | ||||
\(916\) | −1.98170 | + | 1.14413i | −0.0654771 | + | 0.0378032i | ||||
\(917\) | −11.3976 | − | 17.7790i | −0.376381 | − | 0.587116i | ||||
\(918\) | −45.0112 | − | 23.3399i | −1.48559 | − | 0.770333i | ||||
\(919\) | 4.64593 | − | 2.68233i | 0.153255 | − | 0.0884818i | −0.421411 | − | 0.906870i | \(-0.638465\pi\) |
0.574666 | + | 0.818388i | \(0.305132\pi\) | |||||||
\(920\) | −22.9871 | − | 13.7451i | −0.757863 | − | 0.453161i | ||||
\(921\) | 9.56122 | − | 14.1027i | 0.315053 | − | 0.464700i | ||||
\(922\) | −24.4304 | + | 24.4304i | −0.804572 | + | 0.804572i | ||||
\(923\) | −2.72507 | + | 0.730179i | −0.0896966 | + | 0.0240341i | ||||
\(924\) | 0.253967 | − | 0.858835i | 0.00835489 | − | 0.0282536i | ||||
\(925\) | 7.56069 | − | 1.77971i | 0.248594 | − | 0.0585166i | ||||
\(926\) | 5.36867 | + | 9.29880i | 0.176425 | + | 0.305578i | ||||
\(927\) | 25.2056 | + | 10.8408i | 0.827860 | + | 0.356058i | ||||
\(928\) | 1.18124 | + | 4.40843i | 0.0387759 | + | 0.144714i | ||||
\(929\) | 7.21560 | − | 12.4978i | 0.236736 | − | 0.410039i | −0.723040 | − | 0.690806i | \(-0.757256\pi\) |
0.959776 | + | 0.280768i | \(0.0905890\pi\) | |||||||
\(930\) | −14.3294 | − | 30.7481i | −0.469880 | − | 1.00827i | ||||
\(931\) | 33.9231 | − | 3.16202i | 1.11179 | − | 0.103631i | ||||
\(932\) | 1.05085 | − | 0.281574i | 0.0344216 | − | 0.00922325i | ||||
\(933\) | −19.7212 | + | 17.0613i | −0.645644 | + | 0.558562i | ||||
\(934\) | 22.9368 | 0.750516 | ||||||||
\(935\) | 17.5194 | + | 4.98297i | 0.572946 | + | 0.162961i | ||||
\(936\) | 2.50772 | − | 17.2483i | 0.0819675 | − | 0.563777i | ||||
\(937\) | 0.338746 | − | 0.338746i | 0.0110663 | − | 0.0110663i | −0.701552 | − | 0.712618i | \(-0.747509\pi\) |
0.712618 | + | 0.701552i | \(0.247509\pi\) | |||||||
\(938\) | −6.53734 | − | 10.1976i | −0.213452 | − | 0.332963i | ||||
\(939\) | 37.1772 | − | 18.0233i | 1.21323 | − | 0.588168i | ||||
\(940\) | 2.37719 | − | 0.598119i | 0.0775355 | − | 0.0195085i | ||||
\(941\) | −37.0703 | + | 21.4026i | −1.20846 | + | 0.697703i | −0.962422 | − | 0.271558i | \(-0.912461\pi\) |
−0.246035 | + | 0.969261i | \(0.579128\pi\) | |||||||
\(942\) | −42.1966 | + | 8.09819i | −1.37484 | + | 0.263853i | ||||
\(943\) | 18.1335 | − | 4.85887i | 0.590509 | − | 0.158226i | ||||
\(944\) | 17.1575 | 0.558430 | ||||||||
\(945\) | 17.3574 | + | 25.3716i | 0.564637 | + | 0.825339i | ||||
\(946\) | −2.77318 | −0.0901638 | ||||||||
\(947\) | 42.1348 | − | 11.2900i | 1.36920 | − | 0.366875i | 0.502011 | − | 0.864861i | \(-0.332594\pi\) |
0.867185 | + | 0.497986i | \(0.165927\pi\) | |||||||
\(948\) | 0.171830 | − | 0.0329770i | 0.00558079 | − | 0.00107104i | ||||
\(949\) | −18.0730 | + | 10.4345i | −0.586675 | + | 0.338717i | ||||
\(950\) | −9.48168 | + | 31.4957i | −0.307626 | + | 1.02186i | ||||
\(951\) | 4.41694 | − | 2.14131i | 0.143229 | − | 0.0694368i | ||||
\(952\) | 56.0443 | − | 2.60633i | 1.81640 | − | 0.0844718i | ||||
\(953\) | 30.4721 | − | 30.4721i | 0.987087 | − | 0.987087i | −0.0128311 | − | 0.999918i | \(-0.504084\pi\) |
0.999918 | + | 0.0128311i | \(0.00408438\pi\) | |||||||
\(954\) | 27.9077 | + | 22.0182i | 0.903544 | + | 0.712866i | ||||
\(955\) | −9.86570 | − | 17.7085i | −0.319247 | − | 0.573034i | ||||
\(956\) | 0.0170814 | 0.000552451 | ||||||||
\(957\) | −6.90401 | + | 5.97282i | −0.223175 | + | 0.193074i | ||||
\(958\) | −21.8682 | + | 5.85957i | −0.706530 | + | 0.189314i | ||||
\(959\) | −36.1482 | − | 7.90630i | −1.16729 | − | 0.255308i | ||||
\(960\) | 31.1786 | + | 11.3562i | 1.00628 | + | 0.366521i | ||||
\(961\) | 5.49818 | − | 9.52312i | 0.177361 | − | 0.307197i | ||||
\(962\) | −1.07488 | − | 4.01152i | −0.0346557 | − | 0.129337i | ||||
\(963\) | 1.06502 | + | 9.02840i | 0.0343199 | + | 0.290936i | ||||
\(964\) | 1.25360 | + | 2.17130i | 0.0403758 | + | 0.0699329i | ||||
\(965\) | −7.22327 | + | 7.00543i | −0.232525 | + | 0.225513i | ||||
\(966\) | −5.90750 | − | 24.5565i | −0.190071 | − | 0.790092i | ||||
\(967\) | −26.1722 | + | 7.01282i | −0.841641 | + | 0.225517i | −0.653786 | − | 0.756680i | \(-0.726820\pi\) |
−0.187855 | + | 0.982197i | \(0.560154\pi\) | |||||||
\(968\) | −20.2026 | + | 20.2026i | −0.649338 | + | 0.649338i | ||||
\(969\) | −34.1530 | + | 50.3754i | −1.09715 | + | 1.61829i | ||||
\(970\) | −6.28842 | + | 10.5167i | −0.201909 | + | 0.337671i | ||||
\(971\) | −17.8023 | + | 10.2782i | −0.571303 | + | 0.329842i | −0.757669 | − | 0.652639i | \(-0.773662\pi\) |
0.186367 | + | 0.982480i | \(0.440329\pi\) | |||||||
\(972\) | −0.267269 | + | 2.68687i | −0.00857265 | + | 0.0861814i | ||||
\(973\) | 2.65261 | + | 57.0393i | 0.0850387 | + | 1.82859i | ||||
\(974\) | −2.06038 | + | 1.18956i | −0.0660187 | + | 0.0381159i | ||||
\(975\) | −13.8775 | − | 10.0421i | −0.444435 | − | 0.321604i | ||||
\(976\) | 16.3111 | − | 9.41723i | 0.522106 | − | 0.301438i | ||||
\(977\) | 3.69696 | − | 13.7972i | 0.118276 | − | 0.441413i | −0.881235 | − | 0.472679i | \(-0.843287\pi\) |
0.999511 | + | 0.0312658i | \(0.00995385\pi\) | |||||||
\(978\) | 46.9392 | − | 9.00837i | 1.50095 | − | 0.288056i | ||||
\(979\) | 9.09663 | + | 15.7558i | 0.290730 | + | 0.503558i | ||||
\(980\) | −2.44605 | − | 1.16943i | −0.0781362 | − | 0.0373559i | ||||
\(981\) | 40.1812 | + | 5.84194i | 1.28289 | + | 0.186519i | ||||
\(982\) | −3.38121 | + | 12.6189i | −0.107899 | + | 0.402684i | ||||
\(983\) | 11.6686 | + | 11.6686i | 0.372170 | + | 0.372170i | 0.868267 | − | 0.496097i | \(-0.165234\pi\) |
−0.496097 | + | 0.868267i | \(0.665234\pi\) | |||||||
\(984\) | −21.0755 | + | 10.2173i | −0.671862 | + | 0.325715i | ||||
\(985\) | 12.7060 | − | 3.19692i | 0.404847 | − | 0.101862i | ||||
\(986\) | −39.4751 | − | 22.7910i | −1.25714 | − | 0.725812i | ||||
\(987\) | 24.7358 | + | 15.1424i | 0.787348 | + | 0.481987i | ||||
\(988\) | −1.61073 | − | 0.431593i | −0.0512440 | − | 0.0137308i | ||||
\(989\) | 6.42203 | − | 3.70776i | 0.204209 | − | 0.117900i | ||||
\(990\) | 1.04279 | + | 10.1766i | 0.0331420 | + | 0.323434i | ||||
\(991\) | 1.74785 | − | 3.02736i | 0.0555223 | − | 0.0961674i | −0.836928 | − | 0.547312i | \(-0.815651\pi\) |
0.892451 | + | 0.451145i | \(0.148984\pi\) | |||||||
\(992\) | 1.63869 | + | 6.11569i | 0.0520286 | + | 0.194173i | ||||
\(993\) | −3.69852 | + | 10.6589i | −0.117369 | + | 0.338251i | ||||
\(994\) | 3.43511 | − | 3.77019i | 0.108955 | − | 0.119583i | ||||
\(995\) | 17.6478 | + | 31.6770i | 0.559472 | + | 1.00423i | ||||
\(996\) | 0.852988 | + | 1.75948i | 0.0270279 | + | 0.0557513i | ||||
\(997\) | −10.5650 | + | 10.5650i | −0.334598 | + | 0.334598i | −0.854330 | − | 0.519732i | \(-0.826032\pi\) |
0.519732 | + | 0.854330i | \(0.326032\pi\) | |||||||
\(998\) | 9.05036 | + | 33.7764i | 0.286484 | + | 1.06917i | ||||
\(999\) | 2.43962 | + | 7.69455i | 0.0771860 | + | 0.243445i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 315.2.cg.e.157.13 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.28 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.28 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.28 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.13 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.28 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.13 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.13 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.28 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.13 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.28 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.13 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.28 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.13 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.28 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.13 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.28 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.28 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.28 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.28 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.13 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.28 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.28 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.13 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.13 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.13 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.13 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.13 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.28 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.13 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.13 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.28 | 160 | 3.2 | odd | 2 |