Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(62,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.w (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 62.19 | ||
Character | \(\chi\) | \(=\) | 441.62 |
Dual form | 441.2.w.a.377.19 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{11}{14}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.41221 | − | 0.550570i | 1.70569 | − | 0.389312i | 0.745026 | − | 0.667035i | \(-0.232437\pi\) |
0.960661 | + | 0.277723i | \(0.0895797\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.71367 | − | 1.78841i | 1.85684 | − | 0.894206i | ||||
\(5\) | 0.289860 | + | 0.363473i | 0.129629 | + | 0.162550i | 0.842410 | − | 0.538837i | \(-0.181136\pi\) |
−0.712781 | + | 0.701387i | \(0.752565\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.34601 | + | 2.27777i | 0.508744 | + | 0.860918i | ||||
\(8\) | 4.10462 | − | 3.27333i | 1.45120 | − | 1.15730i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.899319 | + | 0.717183i | 0.284390 | + | 0.226793i | ||||
\(11\) | 0.267404 | − | 0.0610333i | 0.0806255 | − | 0.0184022i | −0.182018 | − | 0.983295i | \(-0.558263\pi\) |
0.262643 | + | 0.964893i | \(0.415406\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.38129 | + | 0.771758i | −0.937802 | + | 0.214047i | −0.663995 | − | 0.747737i | \(-0.731140\pi\) |
−0.273807 | + | 0.961785i | \(0.588283\pi\) | |||||||
\(14\) | 4.50093 | + | 4.75339i | 1.20292 | + | 1.27040i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.95912 | − | 3.71062i | 0.739780 | − | 0.927654i | ||||
\(17\) | −5.26026 | − | 2.53321i | −1.27580 | − | 0.614393i | −0.331494 | − | 0.943457i | \(-0.607553\pi\) |
−0.944308 | + | 0.329064i | \(0.893267\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 3.10999i | − | 0.713481i | −0.934204 | − | 0.356740i | \(-0.883888\pi\) | ||
0.934204 | − | 0.356740i | \(-0.116112\pi\) | |||||||
\(20\) | 1.72648 | + | 0.831431i | 0.386053 | + | 0.185914i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.611431 | − | 0.294450i | 0.130358 | − | 0.0627769i | ||||
\(23\) | −1.44944 | − | 3.00980i | −0.302230 | − | 0.627587i | 0.693443 | − | 0.720511i | \(-0.256093\pi\) |
−0.995673 | + | 0.0929245i | \(0.970378\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.06451 | − | 4.66393i | 0.212902 | − | 0.932785i | ||||
\(26\) | −7.73147 | + | 3.72328i | −1.51627 | + | 0.730195i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 9.07224 | + | 6.05169i | 1.71449 | + | 1.14366i | ||||
\(29\) | 1.84788 | − | 3.83716i | 0.343142 | − | 0.712542i | −0.655965 | − | 0.754791i | \(-0.727738\pi\) |
0.999107 | + | 0.0422494i | \(0.0134524\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.99695i | 1.07708i | 0.842599 | + | 0.538542i | \(0.181025\pi\) | ||||
−0.842599 | + | 0.538542i | \(0.818975\pi\) | |||||||
\(32\) | 0.539260 | − | 1.11978i | 0.0953286 | − | 0.197952i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −14.0835 | − | 3.21448i | −2.41531 | − | 0.551278i | ||||
\(35\) | −0.437754 | + | 1.14947i | −0.0739940 | + | 0.194296i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.82215 | + | 3.28537i | 1.12155 | + | 0.540112i | 0.900372 | − | 0.435121i | \(-0.143294\pi\) |
0.221182 | + | 0.975233i | \(0.429009\pi\) | |||||||
\(38\) | −1.71227 | − | 7.50194i | −0.277767 | − | 1.21698i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.37953 | + | 0.543112i | 0.376237 | + | 0.0858736i | ||||
\(41\) | 1.56785 | + | 1.96602i | 0.244857 | + | 0.307041i | 0.889039 | − | 0.457831i | \(-0.151373\pi\) |
−0.644182 | + | 0.764872i | \(0.722802\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.94691 | + | 8.71115i | −1.05939 | + | 1.32844i | −0.117296 | + | 0.993097i | \(0.537423\pi\) |
−0.942097 | + | 0.335340i | \(0.891149\pi\) | |||||||
\(44\) | 0.883900 | − | 0.704887i | 0.133253 | − | 0.106266i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.15346 | − | 6.46224i | −0.759837 | − | 0.952805i | ||||
\(47\) | −0.939237 | − | 4.11506i | −0.137002 | − | 0.600244i | −0.996084 | − | 0.0884071i | \(-0.971822\pi\) |
0.859083 | − | 0.511837i | \(-0.171035\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.37651 | + | 6.13182i | −0.482359 | + | 0.875974i | ||||
\(50\) | − | 11.8364i | − | 1.67393i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −11.1768 | + | 8.91320i | −1.54994 | + | 1.23604i | ||||
\(53\) | −3.56861 | − | 7.41029i | −0.490186 | − | 1.01788i | −0.988547 | − | 0.150912i | \(-0.951779\pi\) |
0.498362 | − | 0.866969i | \(-0.333935\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.0996937 | + | 0.0795031i | 0.0134427 | + | 0.0107202i | ||||
\(56\) | 12.9808 | + | 4.94347i | 1.73463 | + | 0.660599i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.34484 | − | 10.2734i | 0.307892 | − | 1.34896i | ||||
\(59\) | −1.06936 | + | 1.34094i | −0.139219 | + | 0.174575i | −0.846553 | − | 0.532304i | \(-0.821326\pi\) |
0.707334 | + | 0.706880i | \(0.249898\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.69592 | + | 9.75118i | −0.601251 | + | 1.24851i | 0.349028 | + | 0.937112i | \(0.386512\pi\) |
−0.950279 | + | 0.311399i | \(0.899202\pi\) | |||||||
\(62\) | 3.30174 | + | 14.4659i | 0.419322 | + | 1.83717i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.42791 | + | 6.25608i | −0.178489 | + | 0.782010i | ||||
\(65\) | −1.26061 | − | 1.00531i | −0.156360 | − | 0.124693i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.14761 | 0.506711 | 0.253355 | − | 0.967373i | \(-0.418466\pi\) | ||||
0.253355 | + | 0.967373i | \(0.418466\pi\) | |||||||
\(68\) | −24.0653 | −2.91835 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.423088 | + | 3.01378i | −0.0505687 | + | 0.360216i | ||||
\(71\) | −0.978461 | − | 2.03180i | −0.116122 | − | 0.241130i | 0.834805 | − | 0.550546i | \(-0.185581\pi\) |
−0.950927 | + | 0.309417i | \(0.899866\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.20001 | + | 0.958624i | 0.491573 | + | 0.112198i | 0.461120 | − | 0.887338i | \(-0.347448\pi\) |
0.0304534 | + | 0.999536i | \(0.490305\pi\) | |||||||
\(74\) | 18.2653 | + | 4.16893i | 2.12329 | + | 0.484628i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.56194 | − | 11.5495i | −0.637999 | − | 1.32482i | ||||
\(77\) | 0.498949 | + | 0.526935i | 0.0568605 | + | 0.0600499i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.9042 | 1.45184 | 0.725918 | − | 0.687781i | \(-0.241415\pi\) | ||||
0.725918 | + | 0.687781i | \(0.241415\pi\) | |||||||
\(80\) | 2.20644 | 0.246687 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.86442 | + | 3.87924i | 0.537185 | + | 0.428391i | ||||
\(83\) | 3.33893 | − | 14.6288i | 0.366495 | − | 1.60572i | −0.369835 | − | 0.929098i | \(-0.620586\pi\) |
0.736330 | − | 0.676623i | \(-0.236557\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.603986 | − | 2.64624i | −0.0655115 | − | 0.287025i | ||||
\(86\) | −11.9613 | + | 24.8378i | −1.28982 | + | 2.67833i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.897813 | − | 1.12582i | 0.0957071 | − | 0.120013i | ||||
\(89\) | −3.71116 | + | 16.2597i | −0.393383 | + | 1.72352i | 0.259217 | + | 0.965819i | \(0.416535\pi\) |
−0.652600 | + | 0.757703i | \(0.726322\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.30915 | − | 6.66303i | −0.661378 | − | 0.698475i | ||||
\(92\) | −10.7655 | − | 8.58522i | −1.12238 | − | 0.895071i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.53127 | − | 9.40927i | −0.467364 | − | 0.970492i | ||||
\(95\) | 1.13040 | − | 0.901461i | 0.115976 | − | 0.0924880i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 12.6849i | − | 1.28795i | −0.765045 | − | 0.643977i | \(-0.777283\pi\) | ||
0.765045 | − | 0.643977i | \(-0.222717\pi\) | |||||||
\(98\) | −4.76884 | + | 16.6502i | −0.481726 | + | 1.68193i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.38777 | − | 19.2241i | −0.438777 | − | 1.92241i | ||||
\(101\) | 9.28383 | + | 11.6416i | 0.923776 | + | 1.15838i | 0.987055 | + | 0.160382i | \(0.0512726\pi\) |
−0.0632795 | + | 0.997996i | \(0.520156\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 10.3074 | − | 8.21989i | 1.01562 | − | 0.809930i | 0.0337390 | − | 0.999431i | \(-0.489259\pi\) |
0.981880 | + | 0.189501i | \(0.0606871\pi\) | |||||||
\(104\) | −11.3527 | + | 14.2359i | −1.11323 | + | 1.39594i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −12.6881 | − | 15.9104i | −1.23238 | − | 1.54535i | ||||
\(107\) | 5.08824 | + | 1.16136i | 0.491899 | + | 0.112273i | 0.461273 | − | 0.887258i | \(-0.347393\pi\) |
0.0306257 | + | 0.999531i | \(0.490250\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.190621 | − | 0.835166i | −0.0182582 | − | 0.0799944i | 0.964978 | − | 0.262331i | \(-0.0844912\pi\) |
−0.983236 | + | 0.182336i | \(0.941634\pi\) | |||||||
\(110\) | 0.284254 | + | 0.136889i | 0.0271025 | + | 0.0130519i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 12.4350 | + | 1.74567i | 1.17499 | + | 0.164951i | ||||
\(113\) | −15.3704 | − | 3.50820i | −1.44593 | − | 0.330024i | −0.573677 | − | 0.819082i | \(-0.694483\pi\) |
−0.872251 | + | 0.489058i | \(0.837340\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.673845 | − | 1.39925i | 0.0628363 | − | 0.130481i | ||||
\(116\) | − | 17.5547i | − | 1.62991i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.84124 | + | 3.82338i | −0.169500 | + | 0.351971i | ||||
\(119\) | −1.31029 | − | 15.3914i | −0.120114 | − | 1.41093i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.84288 | + | 4.74008i | −0.894807 | + | 0.430916i | ||||
\(122\) | −5.95882 | + | 26.1073i | −0.539486 | + | 2.36364i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 10.7250 | + | 22.2707i | 0.963134 | + | 1.99997i | ||||
\(125\) | 4.09807 | − | 1.97352i | 0.366542 | − | 0.176517i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.94340 | − | 1.41747i | −0.261184 | − | 0.125780i | 0.298710 | − | 0.954344i | \(-0.403444\pi\) |
−0.559894 | + | 0.828564i | \(0.689158\pi\) | |||||||
\(128\) | 18.3628i | 1.62306i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.59435 | − | 1.73095i | −0.315246 | − | 0.151814i | ||||
\(131\) | 10.2389 | − | 12.8392i | 0.894575 | − | 1.12176i | −0.0973892 | − | 0.995246i | \(-0.531049\pi\) |
0.991965 | − | 0.126516i | \(-0.0403794\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.08386 | − | 4.18608i | 0.614248 | − | 0.362979i | ||||
\(134\) | 10.0049 | − | 2.28355i | 0.864290 | − | 0.197269i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −29.8834 | + | 6.82070i | −2.56248 | + | 0.584870i | ||||
\(137\) | 10.8055 | + | 8.61712i | 0.923178 | + | 0.736210i | 0.964817 | − | 0.262923i | \(-0.0846864\pi\) |
−0.0416387 | + | 0.999133i | \(0.513258\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.617085 | − | 0.492109i | 0.0523404 | − | 0.0417401i | −0.596970 | − | 0.802263i | \(-0.703629\pi\) |
0.649311 | + | 0.760523i | \(0.275058\pi\) | |||||||
\(140\) | 0.430054 | + | 5.05165i | 0.0363462 | + | 0.426943i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.47890 | − | 4.36240i | −0.291943 | − | 0.366084i | ||||
\(143\) | −0.857070 | + | 0.412743i | −0.0716718 | + | 0.0345153i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.93033 | − | 0.440584i | 0.160305 | − | 0.0365885i | ||||
\(146\) | 10.6591 | 0.882151 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 31.2108 | 2.56551 | ||||||||
\(149\) | −4.17377 | + | 0.952636i | −0.341929 | + | 0.0780430i | −0.390037 | − | 0.920799i | \(-0.627538\pi\) |
0.0481085 | + | 0.998842i | \(0.484681\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 20.5436 | − | 9.89326i | 1.67181 | − | 0.805102i | 0.674017 | − | 0.738715i | \(-0.264567\pi\) |
0.997794 | − | 0.0663866i | \(-0.0211471\pi\) | |||||||
\(152\) | −10.1800 | − | 12.7653i | −0.825709 | − | 1.03541i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.49368 | + | 0.996370i | 0.120364 | + | 0.0802898i | ||||
\(155\) | −2.17973 | + | 1.73827i | −0.175080 | + | 0.139621i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.80022 | + | 5.42299i | 0.542716 | + | 0.432802i | 0.856089 | − | 0.516828i | \(-0.172887\pi\) |
−0.313373 | + | 0.949630i | \(0.601459\pi\) | |||||||
\(158\) | 31.1276 | − | 7.10467i | 2.47638 | − | 0.565218i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.563321 | − | 0.128574i | 0.0445344 | − | 0.0101647i | ||||
\(161\) | 4.90468 | − | 7.35273i | 0.386543 | − | 0.579476i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.09028 | + | 3.87508i | −0.242049 | + | 0.303520i | −0.887986 | − | 0.459871i | \(-0.847896\pi\) |
0.645937 | + | 0.763391i | \(0.276467\pi\) | |||||||
\(164\) | 9.33855 | + | 4.49721i | 0.729219 | + | 0.351173i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 37.1260i | − | 2.88154i | ||||||
\(167\) | −10.7170 | − | 5.16105i | −0.829309 | − | 0.399374i | −0.0294533 | − | 0.999566i | \(-0.509377\pi\) |
−0.799856 | + | 0.600192i | \(0.795091\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.875065 | + | 0.421409i | −0.0673127 | + | 0.0324161i | ||||
\(170\) | −2.91388 | − | 6.05073i | −0.223484 | − | 0.464070i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −10.2194 | + | 44.7743i | −0.779225 | + | 3.41401i | ||||
\(173\) | 22.1786 | − | 10.6807i | 1.68621 | − | 0.812036i | 0.690120 | − | 0.723695i | \(-0.257558\pi\) |
0.996090 | − | 0.0883405i | \(-0.0281563\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.0562 | − | 3.85298i | 0.911364 | − | 0.291258i | ||||
\(176\) | 0.564810 | − | 1.17284i | 0.0425742 | − | 0.0884062i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 41.2649i | 3.09294i | ||||||||
\(179\) | −7.44333 | + | 15.4562i | −0.556341 | + | 1.15525i | 0.413272 | + | 0.910608i | \(0.364386\pi\) |
−0.969613 | + | 0.244645i | \(0.921328\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.3505 | − | 2.81891i | −0.918002 | − | 0.209528i | −0.262685 | − | 0.964882i | \(-0.584608\pi\) |
−0.655317 | + | 0.755354i | \(0.727465\pi\) | |||||||
\(182\) | −18.8874 | − | 12.5990i | −1.40003 | − | 0.933898i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −15.8015 | − | 7.60959i | −1.16490 | − | 0.560987i | ||||
\(185\) | 0.783323 | + | 3.43196i | 0.0575910 | + | 0.252323i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.56123 | − | 0.356340i | −0.114168 | − | 0.0260582i | ||||
\(188\) | −10.8474 | − | 13.6023i | −0.791131 | − | 0.992047i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.23043 | − | 2.79687i | 0.161813 | − | 0.202907i | ||||
\(191\) | −6.21040 | + | 4.95263i | −0.449369 | + | 0.358360i | −0.821873 | − | 0.569671i | \(-0.807071\pi\) |
0.372504 | + | 0.928031i | \(0.378499\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.30350 | − | 1.63454i | −0.0938283 | − | 0.117657i | 0.732701 | − | 0.680551i | \(-0.238259\pi\) |
−0.826529 | + | 0.562894i | \(0.809688\pi\) | |||||||
\(194\) | −6.98391 | − | 30.5985i | −0.501416 | − | 2.19685i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.57305 | + | 28.8102i | −0.112361 | + | 2.05787i | ||||
\(197\) | 20.7361i | 1.47739i | 0.674041 | + | 0.738694i | \(0.264557\pi\) | ||||
−0.674041 | + | 0.738694i | \(0.735443\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.37906 | + | 1.89724i | −0.168647 | + | 0.134492i | −0.704176 | − | 0.710025i | \(-0.748684\pi\) |
0.535529 | + | 0.844517i | \(0.320112\pi\) | |||||||
\(200\) | −10.8971 | − | 22.6282i | −0.770545 | − | 1.60005i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 28.8040 | + | 22.9704i | 2.02664 | + | 1.61619i | ||||
\(203\) | 11.2274 | − | 0.955806i | 0.788011 | − | 0.0670844i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.260139 | + | 1.13974i | −0.0181689 | + | 0.0796031i | ||||
\(206\) | 20.3380 | − | 25.5030i | 1.41701 | − | 1.77688i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.14195 | + | 14.8304i | −0.495205 | + | 1.02830i | ||||
\(209\) | −0.189813 | − | 0.831625i | −0.0131296 | − | 0.0575247i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.523859 | − | 2.29518i | 0.0360639 | − | 0.158006i | −0.953690 | − | 0.300792i | \(-0.902749\pi\) |
0.989754 | + | 0.142786i | \(0.0456060\pi\) | |||||||
\(212\) | −26.5053 | − | 21.1373i | −1.82039 | − | 1.45171i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 12.9133 | 0.882734 | ||||||||
\(215\) | −5.17989 | −0.353266 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −13.6597 | + | 8.07195i | −0.927280 | + | 0.547960i | ||||
\(218\) | −0.919636 | − | 1.90964i | −0.0622856 | − | 0.129337i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.512414 | + | 0.116955i | 0.0345470 | + | 0.00788512i | ||||
\(221\) | 19.7415 | + | 4.50587i | 1.32796 | + | 0.303098i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.8915 | − | 24.6929i | −0.796311 | − | 1.65356i | −0.756182 | − | 0.654362i | \(-0.772937\pi\) |
−0.0401292 | − | 0.999194i | \(-0.512777\pi\) | |||||||
\(224\) | 3.27647 | − | 0.278930i | 0.218918 | − | 0.0186368i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −39.0081 | −2.59478 | ||||||||
\(227\) | −9.07729 | −0.602481 | −0.301240 | − | 0.953548i | \(-0.597401\pi\) | ||||
−0.301240 | + | 0.953548i | \(0.597401\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.11405 | − | 4.07832i | −0.337946 | − | 0.269503i | 0.439781 | − | 0.898105i | \(-0.355056\pi\) |
−0.777727 | + | 0.628602i | \(0.783627\pi\) | |||||||
\(230\) | 0.855065 | − | 3.74629i | 0.0563813 | − | 0.247023i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.97543 | − | 21.7988i | −0.326653 | − | 1.43116i | ||||
\(233\) | 0.156646 | − | 0.325279i | 0.0102622 | − | 0.0213097i | −0.895775 | − | 0.444508i | \(-0.853378\pi\) |
0.906037 | + | 0.423199i | \(0.139093\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.22347 | − | 1.53418i | 0.0798102 | − | 0.100079i | ||||
\(236\) | −1.57312 | + | 6.89228i | −0.102401 | + | 0.448649i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −11.6348 | − | 36.4059i | −0.754169 | − | 2.35984i | ||||
\(239\) | −13.0101 | − | 10.3752i | −0.841550 | − | 0.671114i | 0.104716 | − | 0.994502i | \(-0.466607\pi\) |
−0.946266 | + | 0.323388i | \(0.895178\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.41986 | − | 15.4075i | −0.477955 | − | 0.992484i | −0.990967 | − | 0.134103i | \(-0.957185\pi\) |
0.513012 | − | 0.858381i | \(-0.328530\pi\) | |||||||
\(242\) | −21.1333 | + | 16.8532i | −1.35850 | + | 1.08337i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 44.6110i | 2.85592i | ||||||||
\(245\) | −3.20746 | + | 0.550098i | −0.204917 | + | 0.0351444i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.40016 | + | 10.5158i | 0.152719 | + | 0.669104i | ||||
\(248\) | 19.6300 | + | 24.6152i | 1.24650 | + | 1.56307i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.79882 | − | 7.01682i | 0.556486 | − | 0.443783i | ||||
\(251\) | −2.40449 | + | 3.01513i | −0.151770 | + | 0.190313i | −0.851904 | − | 0.523698i | \(-0.824552\pi\) |
0.700134 | + | 0.714011i | \(0.253124\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.571285 | − | 0.716369i | −0.0359164 | − | 0.0450378i | ||||
\(254\) | −7.88049 | − | 1.79867i | −0.494466 | − | 0.112859i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 7.25422 | + | 31.7828i | 0.453389 | + | 1.98643i | ||||
\(257\) | 24.4380 | + | 11.7687i | 1.52440 | + | 0.734113i | 0.993555 | − | 0.113355i | \(-0.0361598\pi\) |
0.530846 | + | 0.847468i | \(0.321874\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.69935 | + | 19.9615i | 0.105592 | + | 1.24034i | ||||
\(260\) | −6.47941 | − | 1.47888i | −0.401836 | − | 0.0917164i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 17.6294 | − | 36.6079i | 1.08915 | − | 2.26164i | ||||
\(263\) | − | 16.7436i | − | 1.03245i | −0.856452 | − | 0.516227i | \(-0.827336\pi\) | ||
0.856452 | − | 0.516227i | \(-0.172664\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.65904 | − | 3.44503i | 0.101914 | − | 0.211627i | ||||
\(266\) | 14.7830 | − | 13.9979i | 0.906404 | − | 0.858264i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 15.4029 | − | 7.41763i | 0.940879 | − | 0.453104i | ||||
\(269\) | −5.81577 | + | 25.4805i | −0.354594 | + | 1.55358i | 0.411842 | + | 0.911255i | \(0.364886\pi\) |
−0.766436 | + | 0.642321i | \(0.777972\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.66282 | − | 20.0651i | −0.586975 | − | 1.21887i | −0.957066 | − | 0.289870i | \(-0.906388\pi\) |
0.370091 | − | 0.928995i | \(-0.379326\pi\) | |||||||
\(272\) | −24.9655 | + | 12.0228i | −1.51376 | + | 0.728987i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 30.8095 | + | 14.8371i | 1.86127 | + | 0.896340i | ||||
\(275\) | − | 1.31213i | − | 0.0791241i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.27615 | + | 2.05929i | 0.256929 | + | 0.123730i | 0.557915 | − | 0.829898i | \(-0.311601\pi\) |
−0.300986 | + | 0.953629i | \(0.597316\pi\) | |||||||
\(278\) | 1.21760 | − | 1.52682i | 0.0730265 | − | 0.0915723i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.96579 | + | 6.15107i | 0.117478 | + | 0.367597i | ||||
\(281\) | 1.18131 | − | 0.269626i | 0.0704708 | − | 0.0160845i | −0.187140 | − | 0.982333i | \(-0.559922\pi\) |
0.257611 | + | 0.966249i | \(0.417065\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 16.0021 | − | 3.65238i | 0.951227 | − | 0.217111i | 0.281368 | − | 0.959600i | \(-0.409212\pi\) |
0.669859 | + | 0.742488i | \(0.266355\pi\) | |||||||
\(284\) | −7.26737 | − | 5.79554i | −0.431239 | − | 0.343902i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.84018 | + | 1.46750i | −0.108812 | + | 0.0867750i | ||||
\(287\) | −2.36781 | + | 6.21750i | −0.139768 | + | 0.367008i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 10.6539 | + | 13.3596i | 0.626699 | + | 0.785856i | ||||
\(290\) | 4.41377 | − | 2.12556i | 0.259186 | − | 0.124817i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 17.3119 | − | 3.95132i | 1.01310 | − | 0.231234i | ||||
\(293\) | −3.00563 | −0.175591 | −0.0877954 | − | 0.996139i | \(-0.527982\pi\) | ||||
−0.0877954 | + | 0.996139i | \(0.527982\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.797360 | −0.0464241 | ||||||||
\(296\) | 38.7565 | − | 8.84591i | 2.25267 | − | 0.514158i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −9.54350 | + | 4.59591i | −0.552840 | + | 0.266234i | ||||
\(299\) | 7.22383 | + | 9.05839i | 0.417765 | + | 0.523860i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −29.1926 | − | 4.09819i | −1.68264 | − | 0.236216i | ||||
\(302\) | 44.1084 | − | 35.1753i | 2.53815 | − | 2.02411i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −11.5400 | − | 9.20283i | −0.661864 | − | 0.527819i | ||||
\(305\) | −4.90545 | + | 1.11964i | −0.280885 | + | 0.0641102i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 22.3238 | − | 5.09526i | 1.27409 | − | 0.290802i | 0.468597 | − | 0.883412i | \(-0.344760\pi\) |
0.805490 | + | 0.592610i | \(0.201902\pi\) | |||||||
\(308\) | 2.79531 | + | 1.06454i | 0.159278 | + | 0.0606578i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.30091 | + | 5.39317i | −0.244275 | + | 0.306311i | ||||
\(311\) | 19.9238 | + | 9.59478i | 1.12977 | + | 0.544070i | 0.902898 | − | 0.429854i | \(-0.141435\pi\) |
0.226875 | + | 0.973924i | \(0.427149\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 8.58891i | − | 0.485474i | −0.970092 | − | 0.242737i | \(-0.921955\pi\) | ||
0.970092 | − | 0.242737i | \(-0.0780452\pi\) | |||||||
\(314\) | 19.3893 | + | 9.33738i | 1.09420 | + | 0.526939i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 47.9220 | − | 23.0780i | 2.69582 | − | 1.29824i | ||||
\(317\) | −5.09122 | − | 10.5720i | −0.285951 | − | 0.593784i | 0.707671 | − | 0.706542i | \(-0.249746\pi\) |
−0.993622 | + | 0.112758i | \(0.964032\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.259936 | − | 1.13885i | 0.0145536 | − | 0.0637636i | ||||
\(320\) | −2.68781 | + | 1.29438i | −0.150253 | + | 0.0723580i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 7.78290 | − | 20.4367i | 0.433724 | − | 1.13889i | ||||
\(323\) | −7.87826 | + | 16.3594i | −0.438358 | + | 0.910260i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 16.5916i | 0.920339i | ||||||||
\(326\) | −5.32088 | + | 11.0489i | −0.294696 | + | 0.611943i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 12.8709 | + | 2.93770i | 0.710676 | + | 0.162207i | ||||
\(329\) | 8.10897 | − | 7.67829i | 0.447062 | − | 0.423318i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.79305 | + | 2.78978i | 0.318415 | + | 0.153340i | 0.586263 | − | 0.810121i | \(-0.300598\pi\) |
−0.267849 | + | 0.963461i | \(0.586313\pi\) | |||||||
\(332\) | −13.7626 | − | 60.2980i | −0.755322 | − | 3.30928i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −28.6932 | − | 6.54904i | −1.57002 | − | 0.358348i | ||||
\(335\) | 1.20222 | + | 1.50754i | 0.0656845 | + | 0.0823658i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.0120 | + | 18.8244i | −0.817754 | + | 1.02543i | 0.181363 | + | 0.983416i | \(0.441949\pi\) |
−0.999117 | + | 0.0420144i | \(0.986622\pi\) | |||||||
\(338\) | −1.87882 | + | 1.49831i | −0.102194 | + | 0.0814973i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −6.97557 | − | 8.74709i | −0.378303 | − | 0.474377i | ||||
\(341\) | 0.366014 | + | 1.60361i | 0.0198207 | + | 0.0868403i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.5117 | + | 0.562561i | −0.999539 | + | 0.0303755i | ||||
\(344\) | 58.4955i | 3.15387i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 47.6190 | − | 37.9749i | 2.56001 | − | 2.04154i | ||||
\(347\) | −11.7236 | − | 24.3443i | −0.629356 | − | 1.30687i | −0.934974 | − | 0.354716i | \(-0.884577\pi\) |
0.305618 | − | 0.952154i | \(-0.401137\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.20326 | − | 1.75704i | −0.117938 | − | 0.0940523i | 0.562745 | − | 0.826631i | \(-0.309745\pi\) |
−0.680683 | + | 0.732578i | \(0.738317\pi\) | |||||||
\(350\) | 26.9607 | − | 15.9320i | 1.44111 | − | 0.851600i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.0758563 | − | 0.332348i | 0.00404315 | − | 0.0177142i | ||||
\(353\) | −2.58504 | + | 3.24154i | −0.137588 | + | 0.172530i | −0.845852 | − | 0.533418i | \(-0.820907\pi\) |
0.708264 | + | 0.705948i | \(0.249479\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.454886 | − | 0.944580i | 0.0241428 | − | 0.0501331i | ||||
\(356\) | 15.2969 | + | 67.0202i | 0.810736 | + | 3.55206i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −9.44510 | + | 41.3817i | −0.499189 | + | 2.18709i | ||||
\(359\) | −3.87879 | − | 3.09323i | −0.204715 | − | 0.163255i | 0.515766 | − | 0.856730i | \(-0.327507\pi\) |
−0.720481 | + | 0.693475i | \(0.756079\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.32795 | 0.490945 | ||||||||
\(362\) | −31.3439 | −1.64740 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −35.3464 | − | 13.4610i | −1.85265 | − | 0.705546i | ||||
\(365\) | 0.868979 | + | 1.80445i | 0.0454844 | + | 0.0944494i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.4094 | + | 2.37589i | 0.543368 | + | 0.124020i | 0.485390 | − | 0.874298i | \(-0.338678\pi\) |
0.0579779 | + | 0.998318i | \(0.481535\pi\) | |||||||
\(368\) | −15.4573 | − | 3.52803i | −0.805767 | − | 0.183911i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.77907 | + | 7.84733i | 0.196465 | + | 0.407963i | ||||
\(371\) | 12.0756 | − | 18.1028i | 0.626933 | − | 0.939851i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.03774 | 0.209066 | 0.104533 | − | 0.994521i | \(-0.466665\pi\) | ||||
0.104533 | + | 0.994521i | \(0.466665\pi\) | |||||||
\(374\) | −3.96219 | −0.204880 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −17.3252 | − | 13.8164i | −0.893478 | − | 0.712525i | ||||
\(377\) | −3.28686 | + | 14.4007i | −0.169282 | + | 0.741672i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.18338 | + | 13.9473i | 0.163519 | + | 0.716425i | 0.988495 | + | 0.151256i | \(0.0483319\pi\) |
−0.824975 | + | 0.565169i | \(0.808811\pi\) | |||||||
\(380\) | 2.58574 | − | 5.36935i | 0.132646 | − | 0.275442i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −12.2540 | + | 15.3660i | −0.626969 | + | 0.786194i | ||||
\(383\) | −2.24978 | + | 9.85692i | −0.114958 | + | 0.503665i | 0.884362 | + | 0.466802i | \(0.154594\pi\) |
−0.999320 | + | 0.0368635i | \(0.988263\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.0469013 | + | 0.334092i | −0.00239031 | + | 0.0170269i | ||||
\(386\) | −4.04425 | − | 3.22518i | −0.205847 | − | 0.164157i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −22.6858 | − | 47.1075i | −1.15170 | − | 2.39152i | ||||
\(389\) | −29.6202 | + | 23.6213i | −1.50180 | + | 1.19765i | −0.577267 | + | 0.816556i | \(0.695881\pi\) |
−0.924537 | + | 0.381093i | \(0.875548\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 19.5041i | 0.986364i | ||||||||
\(392\) | 6.21214 | + | 36.2212i | 0.313761 | + | 1.82945i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 11.4167 | + | 50.0198i | 0.575165 | + | 2.51996i | ||||
\(395\) | 3.74041 | + | 4.69033i | 0.188200 | + | 0.235996i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.794963 | + | 0.633962i | −0.0398980 | + | 0.0318176i | −0.643236 | − | 0.765668i | \(-0.722409\pi\) |
0.603338 | + | 0.797486i | \(0.293837\pi\) | |||||||
\(398\) | −4.69422 | + | 5.88637i | −0.235300 | + | 0.295057i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −14.1560 | − | 17.7511i | −0.707802 | − | 0.887555i | ||||
\(401\) | −26.2157 | − | 5.98356i | −1.30915 | − | 0.298805i | −0.489667 | − | 0.871910i | \(-0.662882\pi\) |
−0.819482 | + | 0.573105i | \(0.805739\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.62819 | − | 20.2774i | −0.230547 | − | 1.01009i | ||||
\(404\) | 55.2970 | + | 26.6296i | 2.75113 | + | 1.32487i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 26.5567 | − | 8.48710i | 1.31798 | − | 0.421207i | ||||
\(407\) | 2.02479 | + | 0.462145i | 0.100365 | + | 0.0229077i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.82904 | − | 20.4102i | 0.486015 | − | 1.00922i | −0.503393 | − | 0.864058i | \(-0.667915\pi\) |
0.989408 | − | 0.145163i | \(-0.0463705\pi\) | |||||||
\(410\) | 2.89252i | 0.142851i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 23.5778 | − | 48.9599i | 1.16160 | − | 2.41208i | ||||
\(413\) | −4.49373 | − | 0.630850i | −0.221122 | − | 0.0310421i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.28499 | − | 3.02669i | 0.308518 | − | 0.148575i | ||||
\(416\) | −0.959193 | + | 4.20250i | −0.0470283 | + | 0.206044i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.915737 | − | 1.90155i | −0.0447901 | − | 0.0930077i | ||||
\(419\) | −24.2221 | + | 11.6647i | −1.18333 | + | 0.569860i | −0.918879 | − | 0.394541i | \(-0.870904\pi\) |
−0.264447 | + | 0.964400i | \(0.585189\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.45415 | − | 4.07130i | −0.412030 | − | 0.198423i | 0.216374 | − | 0.976311i | \(-0.430577\pi\) |
−0.628404 | + | 0.777887i | \(0.716291\pi\) | |||||||
\(422\) | − | 5.82486i | − | 0.283550i | ||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −38.9041 | − | 18.7352i | −1.88935 | − | 0.909863i | ||||
\(425\) | −17.4143 | + | 21.8369i | −0.844718 | + | 1.05924i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −28.5318 | + | 2.42895i | −1.38075 | + | 0.117545i | ||||
\(428\) | 20.9730 | − | 4.78696i | 1.01377 | − | 0.231387i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −12.4950 | + | 2.85190i | −0.602561 | + | 0.137531i | ||||
\(431\) | −19.6867 | − | 15.6996i | −0.948273 | − | 0.756222i | 0.0216169 | − | 0.999766i | \(-0.493119\pi\) |
−0.969890 | + | 0.243544i | \(0.921690\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −27.7077 | + | 22.0962i | −1.33155 | + | 1.06187i | −0.338902 | + | 0.940822i | \(0.610056\pi\) |
−0.992646 | + | 0.121053i | \(0.961373\pi\) | |||||||
\(434\) | −28.5058 | + | 26.9918i | −1.36832 | + | 1.29565i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.20153 | − | 2.76063i | −0.105434 | − | 0.132210i | ||||
\(437\) | −9.36045 | + | 4.50776i | −0.447771 | + | 0.215635i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.6351 | + | 2.42739i | −0.507585 | + | 0.115853i | −0.468641 | − | 0.883389i | \(-0.655256\pi\) |
−0.0389434 | + | 0.999241i | \(0.512399\pi\) | |||||||
\(440\) | 0.669445 | 0.0319145 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 50.1014 | 2.38308 | ||||||||
\(443\) | 6.54022 | − | 1.49276i | 0.310735 | − | 0.0709233i | −0.0643096 | − | 0.997930i | \(-0.520485\pi\) |
0.375045 | + | 0.927007i | \(0.377627\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.98566 | + | 3.36412i | −0.331152 | + | 0.159474i | ||||
\(446\) | −42.2798 | − | 53.0172i | −2.00201 | − | 2.51044i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −16.1719 | + | 5.16829i | −0.764051 | + | 0.244179i | ||||
\(449\) | −0.0107612 | + | 0.00858176i | −0.000507852 | + | 0.000404998i | −0.623744 | − | 0.781629i | \(-0.714389\pi\) |
0.623236 | + | 0.782034i | \(0.285818\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.539244 | + | 0.430032i | 0.0253920 | + | 0.0202494i | ||||
\(452\) | −63.3548 | + | 14.4603i | −2.97996 | + | 0.680157i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −21.8963 | + | 4.99769i | −1.02764 | + | 0.234553i | ||||
\(455\) | 0.593060 | − | 4.22455i | 0.0278031 | − | 0.198050i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.57422 | − | 6.98986i | 0.260751 | − | 0.326972i | −0.634172 | − | 0.773192i | \(-0.718659\pi\) |
0.894923 | + | 0.446220i | \(0.147230\pi\) | |||||||
\(458\) | −14.5816 | − | 7.02211i | −0.681351 | − | 0.328121i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 6.40148i | − | 0.298471i | ||||||
\(461\) | 24.7350 | + | 11.9117i | 1.15202 | + | 0.554785i | 0.909641 | − | 0.415395i | \(-0.136357\pi\) |
0.242383 | + | 0.970181i | \(0.422071\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.9492 | + | 5.75445i | −0.555328 | + | 0.267432i | −0.690429 | − | 0.723400i | \(-0.742578\pi\) |
0.135101 | + | 0.990832i | \(0.456864\pi\) | |||||||
\(464\) | −8.77013 | − | 18.2114i | −0.407143 | − | 0.845441i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.198774 | − | 0.870885i | 0.00920802 | − | 0.0403430i | ||||
\(467\) | 19.1979 | − | 9.24522i | 0.888373 | − | 0.427818i | 0.0666971 | − | 0.997773i | \(-0.478754\pi\) |
0.821675 | + | 0.569956i | \(0.193040\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.58272 | + | 9.44731i | 0.257786 | + | 0.436236i | ||||
\(470\) | 2.10658 | − | 4.37436i | 0.0971693 | − | 0.201774i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 9.00443i | 0.414463i | ||||||||
\(473\) | −1.32596 | + | 2.75339i | −0.0609679 | + | 0.126601i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −14.5048 | − | 3.31062i | −0.665525 | − | 0.151902i | ||||
\(476\) | −32.3922 | − | 54.8154i | −1.48469 | − | 2.51246i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −37.0952 | − | 17.8641i | −1.69670 | − | 0.817085i | ||||
\(479\) | −1.69302 | − | 7.41762i | −0.0773563 | − | 0.338920i | 0.921409 | − | 0.388594i | \(-0.127039\pi\) |
−0.998765 | + | 0.0496737i | \(0.984182\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −25.6032 | − | 5.84376i | −1.16741 | − | 0.266453i | ||||
\(482\) | −26.3812 | − | 33.0809i | −1.20163 | − | 1.50679i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −28.0760 | + | 35.2062i | −1.27618 | + | 1.60028i | ||||
\(485\) | 4.61060 | − | 3.67683i | 0.209357 | − | 0.166956i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.46779 | + | 11.8722i | 0.429027 | + | 0.537982i | 0.948614 | − | 0.316435i | \(-0.102486\pi\) |
−0.519588 | + | 0.854417i | \(0.673914\pi\) | |||||||
\(488\) | 12.6438 | + | 55.3962i | 0.572359 | + | 2.50767i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −7.43419 | + | 3.09288i | −0.335843 | + | 0.139722i | ||||
\(491\) | 1.76154i | 0.0794970i | 0.999210 | + | 0.0397485i | \(0.0126557\pi\) | ||||
−0.999210 | + | 0.0397485i | \(0.987344\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −19.4406 | + | 15.5034i | −0.875562 | + | 0.698237i | ||||
\(494\) | 11.5794 | + | 24.0448i | 0.520980 | + | 1.08183i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 22.2524 | + | 17.7457i | 0.999161 | + | 0.796804i | ||||
\(497\) | 3.31095 | − | 4.96353i | 0.148517 | − | 0.222645i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.94371 | + | 30.4224i | −0.310843 | + | 1.36189i | 0.542287 | + | 0.840194i | \(0.317559\pi\) |
−0.853130 | + | 0.521699i | \(0.825298\pi\) | |||||||
\(500\) | 11.6894 | − | 14.6581i | 0.522766 | − | 0.655528i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −4.14008 | + | 8.59696i | −0.184781 | + | 0.383701i | ||||
\(503\) | −5.72523 | − | 25.0839i | −0.255275 | − | 1.11843i | −0.926237 | − | 0.376942i | \(-0.876975\pi\) |
0.670961 | − | 0.741492i | \(-0.265882\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.54038 | + | 6.74884i | −0.0685459 | + | 0.300319i | ||||
\(506\) | −1.77247 | − | 1.41350i | −0.0787959 | − | 0.0628376i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −13.4658 | −0.597449 | ||||||||
\(509\) | 2.15795 | 0.0956496 | 0.0478248 | − | 0.998856i | \(-0.484771\pi\) | ||||
0.0478248 | + | 0.998856i | \(0.484771\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.46972 | + | 10.8570i | 0.153492 | + | 0.480285i | ||||
\(512\) | 19.0627 | + | 39.5841i | 0.842460 | + | 1.74939i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 65.4290 | + | 14.9337i | 2.88595 | + | 0.658699i | ||||
\(515\) | 5.97541 | + | 1.36385i | 0.263308 | + | 0.0600983i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.502312 | − | 1.04306i | −0.0220917 | − | 0.0458738i | ||||
\(518\) | 15.0894 | + | 47.2156i | 0.662988 | + | 2.07453i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −8.46504 | −0.371217 | ||||||||
\(521\) | −6.68030 | −0.292669 | −0.146335 | − | 0.989235i | \(-0.546748\pi\) | ||||
−0.146335 | + | 0.989235i | \(0.546748\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 19.3444 | + | 15.4266i | 0.845872 | + | 0.674560i | 0.947323 | − | 0.320280i | \(-0.103777\pi\) |
−0.101451 | + | 0.994841i | \(0.532349\pi\) | |||||||
\(524\) | 15.0622 | − | 65.9918i | 0.657995 | − | 2.88286i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.21852 | − | 40.3890i | −0.401947 | − | 1.76104i | ||||
\(527\) | 15.1915 | − | 31.5455i | 0.661753 | − | 1.37414i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.38226 | − | 9.25706i | 0.320968 | − | 0.402481i | ||||
\(530\) | 2.10522 | − | 9.22355i | 0.0914447 | − | 0.400646i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 18.8207 | − | 28.2146i | 0.815981 | − | 1.22326i | ||||
\(533\) | −6.81866 | − | 5.43770i | −0.295349 | − | 0.235533i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.05275 | + | 2.18607i | 0.0455145 | + | 0.0945119i | ||||
\(536\) | 17.0244 | − | 13.5765i | 0.735341 | − | 0.586415i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 64.6663i | 2.78796i | ||||||||
\(539\) | −0.528649 | + | 1.84575i | −0.0227705 | + | 0.0795023i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.65988 | + | 16.0350i | 0.157351 | + | 0.689398i | 0.990633 | + | 0.136551i | \(0.0436016\pi\) |
−0.833283 | + | 0.552847i | \(0.813541\pi\) | |||||||
\(542\) | −34.3560 | − | 43.0810i | −1.47571 | − | 1.85049i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −5.67330 | + | 4.52430i | −0.243241 | + | 0.193978i | ||||
\(545\) | 0.248307 | − | 0.311367i | 0.0106363 | − | 0.0133375i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −20.4759 | − | 25.6759i | −0.875485 | − | 1.09782i | −0.994480 | − | 0.104929i | \(-0.966538\pi\) |
0.118994 | − | 0.992895i | \(-0.462033\pi\) | |||||||
\(548\) | 55.5392 | + | 12.6764i | 2.37251 | + | 0.541511i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.722417 | − | 3.16512i | −0.0308040 | − | 0.134961i | ||||
\(551\) | −11.9335 | − | 5.74688i | −0.508385 | − | 0.244825i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 17.3692 | + | 29.3929i | 0.738613 | + | 1.24991i | ||||
\(554\) | 11.4487 | + | 2.61310i | 0.486410 | + | 0.111020i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.41156 | − | 2.93113i | 0.0598634 | − | 0.124308i | ||||
\(557\) | 30.7575i | 1.30324i | 0.758546 | + | 0.651619i | \(0.225910\pi\) | ||||
−0.758546 | + | 0.651619i | \(0.774090\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 16.7666 | − | 34.8163i | 0.709153 | − | 1.47257i | ||||
\(560\) | 2.96989 | + | 5.02577i | 0.125501 | + | 0.212377i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.70111 | − | 1.30078i | 0.113939 | − | 0.0548703i | ||||
\(563\) | −5.89361 | + | 25.8216i | −0.248386 | + | 1.08825i | 0.684764 | + | 0.728765i | \(0.259905\pi\) |
−0.933150 | + | 0.359486i | \(0.882952\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.18013 | − | 6.60361i | −0.133789 | − | 0.277816i | ||||
\(566\) | 36.5895 | − | 17.6206i | 1.53797 | − | 0.740648i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.6670 | − | 5.13693i | −0.447575 | − | 0.215541i | ||||
\(569\) | 2.06199i | 0.0864433i | 0.999066 | + | 0.0432216i | \(0.0137622\pi\) | ||||
−0.999066 | + | 0.0432216i | \(0.986238\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 28.5194 | + | 13.7342i | 1.19350 | + | 0.574758i | 0.921816 | − | 0.387629i | \(-0.126706\pi\) |
0.271682 | + | 0.962387i | \(0.412420\pi\) | |||||||
\(572\) | −2.44472 | + | 3.06559i | −0.102219 | + | 0.128179i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.28848 | + | 16.3016i | −0.0955195 | + | 0.680414i | ||||
\(575\) | −15.5804 | + | 3.55613i | −0.649749 | + | 0.148301i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −26.0429 | + | 5.94412i | −1.08418 | + | 0.247457i | −0.727041 | − | 0.686595i | \(-0.759105\pi\) |
−0.357139 | + | 0.934051i | \(0.616248\pi\) | |||||||
\(578\) | 33.0548 | + | 26.3603i | 1.37490 | + | 1.09644i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6.38066 | − | 5.08840i | 0.264942 | − | 0.211284i | ||||
\(581\) | 37.8154 | − | 12.0852i | 1.56885 | − | 0.501379i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.40654 | − | 1.76374i | −0.0582527 | − | 0.0730466i | ||||
\(584\) | 20.3773 | − | 9.81321i | 0.843220 | − | 0.406073i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.25020 | + | 1.65481i | −0.299503 | + | 0.0683596i | ||||
\(587\) | −18.3422 | −0.757065 | −0.378532 | − | 0.925588i | \(-0.623571\pi\) | ||||
−0.378532 | + | 0.925588i | \(0.623571\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 18.6505 | 0.768479 | ||||||||
\(590\) | −1.92340 | + | 0.439003i | −0.0791850 | + | 0.0180735i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 32.3783 | − | 15.5926i | 1.33074 | − | 0.640851i | ||||
\(593\) | 25.5534 | + | 32.0429i | 1.04935 | + | 1.31585i | 0.947048 | + | 0.321093i | \(0.104050\pi\) |
0.102305 | + | 0.994753i | \(0.467378\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.21456 | − | 4.93761i | 0.213776 | − | 0.202422i | ||||
\(596\) | −13.7963 | + | 11.0022i | −0.565119 | + | 0.450668i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 22.4126 | + | 17.8735i | 0.916521 | + | 0.730901i | ||||
\(599\) | 38.8081 | − | 8.85770i | 1.58566 | − | 0.361916i | 0.663330 | − | 0.748327i | \(-0.269143\pi\) |
0.922327 | + | 0.386411i | \(0.126285\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.30917 | − | 0.298810i | 0.0534023 | − | 0.0121887i | −0.195736 | − | 0.980657i | \(-0.562710\pi\) |
0.249139 | + | 0.968468i | \(0.419853\pi\) | |||||||
\(602\) | −72.6750 | + | 6.18692i | −2.96201 | + | 0.252160i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 58.5989 | − | 73.4807i | 2.38436 | − | 2.98989i | ||||
\(605\) | −4.57594 | − | 2.20366i | −0.186039 | − | 0.0895914i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 30.5499i | 1.23998i | 0.784608 | + | 0.619992i | \(0.212864\pi\) | ||||
−0.784608 | + | 0.619992i | \(0.787136\pi\) | |||||||
\(608\) | −3.48252 | − | 1.67709i | −0.141235 | − | 0.0680151i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −11.2165 | + | 5.40159i | −0.454143 | + | 0.218704i | ||||
\(611\) | 6.35167 | + | 13.1894i | 0.256961 | + | 0.533585i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.51054 | − | 24.1433i | 0.222569 | − | 0.975137i | −0.732968 | − | 0.680264i | \(-0.761865\pi\) |
0.955536 | − | 0.294874i | \(-0.0952775\pi\) | |||||||
\(614\) | 51.0443 | − | 24.5817i | 2.05998 | − | 0.992035i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.77283 | + | 0.529647i | 0.152012 | + | 0.0213401i | ||||
\(617\) | 2.47360 | − | 5.13649i | 0.0995835 | − | 0.206787i | −0.845225 | − | 0.534411i | \(-0.820533\pi\) |
0.944808 | + | 0.327624i | \(0.106248\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 24.7711i | 0.995636i | 0.867282 | + | 0.497818i | \(0.165865\pi\) | ||||
−0.867282 | + | 0.497818i | \(0.834135\pi\) | |||||||
\(620\) | −4.98605 | + | 10.3536i | −0.200244 | + | 0.415812i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 53.3428 | + | 12.1752i | 2.13885 | + | 0.488179i | ||||
\(623\) | −42.0311 | + | 13.4325i | −1.68394 | + | 0.538162i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.6454 | − | 9.46073i | −0.785816 | − | 0.378429i | ||||
\(626\) | −4.72880 | − | 20.7182i | −0.189001 | − | 0.828067i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 34.9523 | + | 7.97764i | 1.39475 | + | 0.318343i | ||||
\(629\) | −27.5638 | − | 34.5639i | −1.09904 | − | 1.37815i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.38118 | − | 10.5097i | 0.333650 | − | 0.418383i | −0.586501 | − | 0.809949i | \(-0.699495\pi\) |
0.920150 | + | 0.391565i | \(0.128066\pi\) | |||||||
\(632\) | 52.9669 | − | 42.2397i | 2.10691 | − | 1.68021i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −18.1017 | − | 22.6988i | −0.718911 | − | 0.901485i | ||||
\(635\) | −0.337962 | − | 1.48071i | −0.0134116 | − | 0.0587602i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.68469 | − | 23.3393i | 0.264857 | − | 0.924737i | ||||
\(638\) | − | 2.89026i | − | 0.114427i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6.67439 | + | 5.32265i | −0.263829 | + | 0.210396i | ||||
\(641\) | −5.47326 | − | 11.3653i | −0.216181 | − | 0.448904i | 0.764473 | − | 0.644656i | \(-0.222999\pi\) |
−0.980653 | + | 0.195752i | \(0.937285\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −23.8248 | − | 18.9996i | −0.939557 | − | 0.749271i | 0.0286066 | − | 0.999591i | \(-0.490893\pi\) |
−0.968163 | + | 0.250319i | \(0.919464\pi\) | |||||||
\(644\) | 5.06468 | − | 36.0772i | 0.199576 | − | 1.42164i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.99700 | + | 43.7997i | −0.393327 | + | 1.72328i | ||||
\(647\) | −20.1221 | + | 25.2324i | −0.791083 | + | 0.991986i | 0.208819 | + | 0.977954i | \(0.433038\pi\) |
−0.999902 | + | 0.0140318i | \(0.995533\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.204111 | + | 0.423840i | −0.00801204 | + | 0.0166372i | ||||
\(650\) | 9.13487 | + | 40.0225i | 0.358299 | + | 1.56981i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.54604 | + | 19.9175i | −0.178037 | + | 0.780029i | ||||
\(653\) | 1.52294 | + | 1.21451i | 0.0595973 | + | 0.0475273i | 0.652835 | − | 0.757500i | \(-0.273579\pi\) |
−0.593238 | + | 0.805027i | \(0.702151\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.63452 | 0.298305 | ||||||||
\(656\) | 11.9346 | 0.465969 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 15.3331 | − | 22.9862i | 0.597745 | − | 0.896094i | ||||
\(659\) | 12.6617 | + | 26.2923i | 0.493230 | + | 1.02420i | 0.987896 | + | 0.155120i | \(0.0495764\pi\) |
−0.494665 | + | 0.869084i | \(0.664709\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.6240 | − | 4.25081i | −0.724390 | − | 0.165337i | −0.155600 | − | 0.987820i | \(-0.549731\pi\) |
−0.568790 | + | 0.822483i | \(0.692588\pi\) | |||||||
\(662\) | 15.5100 | + | 3.54006i | 0.602813 | + | 0.137588i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −34.1798 | − | 70.9752i | −1.32644 | − | 2.75437i | ||||
\(665\) | 3.57485 | + | 1.36141i | 0.138627 | + | 0.0527933i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −14.2275 | −0.550890 | ||||||||
\(668\) | −49.0297 | −1.89702 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.73002 | + | 2.97459i | 0.144103 | + | 0.114919i | ||||
\(671\) | −0.660563 | + | 2.89412i | −0.0255008 | + | 0.111726i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.66267 | − | 16.0472i | −0.141186 | − | 0.618575i | −0.995161 | − | 0.0982609i | \(-0.968672\pi\) |
0.853975 | − | 0.520314i | \(-0.174185\pi\) | |||||||
\(674\) | −25.8478 | + | 53.6735i | −0.995620 | + | 2.06743i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.49605 | + | 3.12995i | −0.0960020 | + | 0.120383i | ||||
\(677\) | 8.67246 | − | 37.9965i | 0.333310 | − | 1.46032i | −0.479369 | − | 0.877613i | \(-0.659135\pi\) |
0.812679 | − | 0.582712i | \(-0.198008\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 28.8933 | − | 17.0740i | 1.10882 | − | 0.655239i | ||||
\(680\) | −11.1411 | − | 8.88476i | −0.427243 | − | 0.340715i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.76580 | + | 3.66672i | 0.0676160 | + | 0.140406i | ||||
\(683\) | 22.4726 | − | 17.9213i | 0.859889 | − | 0.685739i | −0.0908050 | − | 0.995869i | \(-0.528944\pi\) |
0.950694 | + | 0.310130i | \(0.100373\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.42527i | 0.245497i | ||||||||
\(686\) | −44.3443 | + | 11.5490i | −1.69307 | + | 0.440943i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 11.7670 | + | 51.5546i | 0.448613 | + | 1.96550i | ||||
\(689\) | 17.7854 | + | 22.3022i | 0.677572 | + | 0.849648i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.0241 | − | 9.58891i | 0.457419 | − | 0.364779i | −0.367507 | − | 0.930021i | \(-0.619788\pi\) |
0.824925 | + | 0.565242i | \(0.191217\pi\) | |||||||
\(692\) | 63.2628 | − | 79.3290i | 2.40489 | − | 3.01564i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −41.6830 | − | 52.2688i | −1.58226 | − | 1.98410i | ||||
\(695\) | 0.357736 | + | 0.0816509i | 0.0135697 | + | 0.00309720i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.26696 | − | 14.3135i | −0.123745 | − | 0.542163i | ||||
\(698\) | −6.28210 | − | 3.02530i | −0.237781 | − | 0.114509i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 37.8822 | − | 35.8702i | 1.43181 | − | 1.35577i | ||||
\(701\) | −42.5887 | − | 9.72059i | −1.60855 | − | 0.367142i | −0.678509 | − | 0.734592i | \(-0.737374\pi\) |
−0.930043 | + | 0.367450i | \(0.880231\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 10.2175 | − | 21.2168i | 0.385360 | − | 0.800208i | ||||
\(704\) | 1.76005i | 0.0663345i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.45096 | + | 9.24252i | −0.167514 | + | 0.347847i | ||||
\(707\) | −14.0207 | + | 36.8161i | −0.527303 | + | 1.38461i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 38.6916 | − | 18.6329i | 1.45309 | − | 0.699773i | 0.469965 | − | 0.882685i | \(-0.344267\pi\) |
0.983129 | + | 0.182912i | \(0.0585522\pi\) | |||||||
\(710\) | 0.577220 | − | 2.52897i | 0.0216627 | − | 0.0949105i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 37.9903 | + | 78.8877i | 1.42375 | + | 2.95644i | ||||
\(713\) | 18.0496 | − | 8.69223i | 0.675963 | − | 0.325527i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.398451 | − | 0.191884i | −0.0149012 | − | 0.00717605i | ||||
\(716\) | 70.7112i | 2.64260i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11.0595 | − | 5.32597i | −0.412737 | − | 0.198763i | ||||
\(719\) | 9.64893 | − | 12.0994i | 0.359844 | − | 0.451231i | −0.568649 | − | 0.822581i | \(-0.692534\pi\) |
0.928493 | + | 0.371350i | \(0.121105\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 32.5969 | + | 12.4139i | 1.21397 | + | 0.462318i | ||||
\(722\) | 22.5009 | − | 5.13569i | 0.837399 | − | 0.191131i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −50.9069 | + | 11.6192i | −1.89194 | + | 0.431823i | ||||
\(725\) | −15.9291 | − | 12.7031i | −0.591593 | − | 0.471780i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 25.4859 | − | 20.3243i | 0.945220 | − | 0.753788i | −0.0240697 | − | 0.999710i | \(-0.507662\pi\) |
0.969289 | + | 0.245923i | \(0.0790909\pi\) | |||||||
\(728\) | −47.7070 | − | 6.69731i | −1.76814 | − | 0.248219i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.08964 | + | 3.87428i | 0.114353 | + | 0.143394i | ||||
\(731\) | 58.6097 | − | 28.2249i | 2.16776 | − | 1.04394i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −14.8936 | + | 3.39937i | −0.550108 | + | 0.125559i | −0.488535 | − | 0.872544i | \(-0.662469\pi\) |
−0.0615726 | + | 0.998103i | \(0.519612\pi\) | |||||||
\(734\) | 26.4178 | 0.975099 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.15195 | −0.153043 | ||||||||
\(737\) | 1.10909 | − | 0.253142i | 0.0408538 | − | 0.00932461i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −34.9615 | + | 16.8366i | −1.28608 | + | 0.619343i | −0.946945 | − | 0.321395i | \(-0.895848\pi\) |
−0.339134 | + | 0.940738i | \(0.610134\pi\) | |||||||
\(740\) | 9.04677 | + | 11.3443i | 0.332566 | + | 0.417024i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 19.1619 | − | 50.3162i | 0.703456 | − | 1.84716i | ||||
\(743\) | 4.76166 | − | 3.79730i | 0.174688 | − | 0.139309i | −0.532243 | − | 0.846592i | \(-0.678651\pi\) |
0.706931 | + | 0.707283i | \(0.250079\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.55607 | − | 1.24092i | −0.0570098 | − | 0.0454638i | ||||
\(746\) | 9.73987 | − | 2.22306i | 0.356602 | − | 0.0813921i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −6.43517 | + | 1.46879i | −0.235293 | + | 0.0537041i | ||||
\(749\) | 4.20351 | + | 13.1531i | 0.153593 | + | 0.480602i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.41375 | − | 8.04259i | 0.234041 | − | 0.293478i | −0.650917 | − | 0.759149i | \(-0.725615\pi\) |
0.884958 | + | 0.465671i | \(0.154187\pi\) | |||||||
\(752\) | −18.0487 | − | 8.69182i | −0.658170 | − | 0.316958i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 36.5470i | 1.33096i | ||||||||
\(755\) | 9.55068 | + | 4.59937i | 0.347585 | + | 0.167388i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −8.52729 | + | 4.10652i | −0.309929 | + | 0.149254i | −0.582382 | − | 0.812915i | \(-0.697879\pi\) |
0.272453 | + | 0.962169i | \(0.412165\pi\) | |||||||
\(758\) | 15.3580 | + | 31.8911i | 0.557826 | + | 1.15834i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.68907 | − | 7.40032i | 0.0612692 | − | 0.268438i | ||||
\(761\) | −13.6168 | + | 6.55753i | −0.493610 | + | 0.237710i | −0.664092 | − | 0.747651i | \(-0.731182\pi\) |
0.170482 | + | 0.985361i | \(0.445468\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.64574 | − | 1.55834i | 0.0595799 | − | 0.0564155i | ||||
\(764\) | −14.2061 | + | 29.4992i | −0.513957 | + | 1.06724i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 25.0156i | 0.903850i | ||||||||
\(767\) | 2.58095 | − | 5.35940i | 0.0931927 | − | 0.193517i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 28.0448 | + | 6.40104i | 1.01132 | + | 0.230827i | 0.695911 | − | 0.718128i | \(-0.255001\pi\) |
0.315410 | + | 0.948956i | \(0.397858\pi\) | |||||||
\(770\) | 0.0708055 | + | 0.831721i | 0.00255165 | + | 0.0299731i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −7.76402 | − | 3.73896i | −0.279433 | − | 0.134568i | ||||
\(773\) | 0.349947 | + | 1.53322i | 0.0125867 | + | 0.0551460i | 0.980831 | − | 0.194859i | \(-0.0624249\pi\) |
−0.968245 | + | 0.250005i | \(0.919568\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 27.9693 | + | 6.38382i | 1.00469 | + | 0.229313i | ||||
\(776\) | −41.5218 | − | 52.0666i | −1.49054 | − | 1.86908i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −58.4448 | + | 73.2875i | −2.09535 | + | 2.62748i | ||||
\(779\) | 6.11432 | − | 4.87601i | 0.219068 | − | 0.174701i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.385652 | − | 0.483592i | −0.0137997 | − | 0.0173043i | ||||
\(782\) | 10.7384 | + | 47.0479i | 0.384003 | + | 1.68243i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 12.7613 | + | 30.6737i | 0.455762 | + | 1.09549i | ||||
\(785\) | 4.04360i | 0.144322i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19.5376 | + | 15.5807i | −0.696441 | + | 0.555393i | −0.906454 | − | 0.422305i | \(-0.861221\pi\) |
0.210012 | + | 0.977699i | \(0.432650\pi\) | |||||||
\(788\) | 37.0847 | + | 77.0072i | 1.32109 | + | 2.74327i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 11.6050 | + | 9.25468i | 0.412887 | + | 0.329267i | ||||
\(791\) | −12.6979 | − | 39.7324i | −0.451484 | − | 1.41272i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 8.35274 | − | 36.5957i | 0.296614 | − | 1.29955i | ||||
\(794\) | −1.56857 | + | 1.96693i | −0.0556666 | + | 0.0698037i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −5.44201 | + | 11.3005i | −0.192887 | + | 0.400534i | ||||
\(797\) | 0.308597 | + | 1.35205i | 0.0109311 | + | 0.0478922i | 0.980099 | − | 0.198508i | \(-0.0636095\pi\) |
−0.969168 | + | 0.246400i | \(0.920752\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.48369 | + | 24.0256i | −0.193999 | + | 0.849965i | ||||
\(800\) | −4.64855 | − | 3.70709i | −0.164351 | − | 0.131065i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −66.5320 | −2.34933 | ||||||||
\(803\) | 1.18161 | 0.0416980 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.09418 | − | 0.348543i | 0.144301 | − | 0.0122845i | ||||
\(806\) | −22.3283 | − | 46.3652i | −0.786481 | − | 1.63314i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 76.2133 | + | 17.3952i | 2.68117 | + | 0.611960i | ||||
\(809\) | 3.22034 | + | 0.735021i | 0.113221 | + | 0.0258420i | 0.278756 | − | 0.960362i | \(-0.410078\pi\) |
−0.165535 | + | 0.986204i | \(0.552935\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −6.77950 | − | 14.0778i | −0.238061 | − | 0.494338i | 0.747372 | − | 0.664406i | \(-0.231315\pi\) |
−0.985432 | + | 0.170068i | \(0.945601\pi\) | |||||||
\(812\) | 39.9857 | − | 23.6288i | 1.40322 | − | 0.829209i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 5.13865 | 0.180110 | ||||||||
\(815\) | −2.30423 | −0.0807138 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 27.0916 | + | 21.6048i | 0.947815 | + | 0.755857i | ||||
\(818\) | 12.4724 | − | 54.6452i | 0.436088 | − | 1.91063i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.07226 | + | 4.69787i | 0.0374449 | + | 0.164057i | ||||
\(821\) | −6.50174 | + | 13.5010i | −0.226912 | + | 0.471188i | −0.983077 | − | 0.183193i | \(-0.941357\pi\) |
0.756165 | + | 0.654382i | \(0.227071\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 13.2759 | − | 16.6474i | 0.462768 | − | 0.580292i | −0.494616 | − | 0.869112i | \(-0.664691\pi\) |
0.957384 | + | 0.288819i | \(0.0932627\pi\) | |||||||
\(824\) | 15.4017 | − | 67.4791i | 0.536542 | − | 2.35075i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −11.1871 | + | 0.952376i | −0.389250 | + | 0.0331374i | ||||
\(827\) | −4.99290 | − | 3.98170i | −0.173620 | − | 0.138457i | 0.532825 | − | 0.846226i | \(-0.321131\pi\) |
−0.706444 | + | 0.707768i | \(0.749702\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −4.74248 | − | 9.84785i | −0.164713 | − | 0.342030i | 0.802233 | − | 0.597011i | \(-0.203645\pi\) |
−0.966946 | + | 0.254981i | \(0.917931\pi\) | |||||||
\(830\) | 13.4943 | − | 10.7613i | 0.468394 | − | 0.373532i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 22.2556i | − | 0.771575i | ||||||
\(833\) | 33.2945 | − | 23.7016i | 1.15359 | − | 0.821210i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.23054 | − | 5.39133i | −0.0425845 | − | 0.186575i | ||||
\(836\) | −2.19219 | − | 2.74892i | −0.0758186 | − | 0.0950735i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −52.0064 | + | 41.4737i | −1.79653 | + | 1.43269i | ||||
\(839\) | −1.05023 | + | 1.31694i | −0.0362578 | + | 0.0454659i | −0.799630 | − | 0.600493i | \(-0.794971\pi\) |
0.763372 | + | 0.645959i | \(0.223542\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 6.77209 | + | 8.49193i | 0.233520 | + | 0.292825i | ||||
\(842\) | −22.6347 | − | 5.16622i | −0.780043 | − | 0.178040i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −2.15928 | − | 9.46041i | −0.0743254 | − | 0.325641i | ||||
\(845\) | −0.406817 | − | 0.195913i | −0.0139949 | − | 0.00673960i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −24.0454 | − | 16.0397i | −0.826211 | − | 0.551129i | ||||
\(848\) | −38.0567 | − | 8.68619i | −1.30687 | − | 0.298285i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −29.9842 | + | 62.2628i | −1.02845 | + | 2.13560i | ||||
\(851\) | − | 25.2953i | − | 0.867110i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.35887 | − | 9.05129i | 0.149245 | − | 0.309910i | −0.812921 | − | 0.582374i | \(-0.802124\pi\) |
0.962166 | + | 0.272463i | \(0.0878383\pi\) | |||||||
\(854\) | −67.4872 | + | 21.5679i | −2.30936 | + | 0.738037i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 24.6868 | − | 11.8885i | 0.843778 | − | 0.406342i | ||||
\(857\) | 11.5103 | − | 50.4298i | 0.393183 | − | 1.72265i | −0.260142 | − | 0.965570i | \(-0.583769\pi\) |
0.653325 | − | 0.757077i | \(-0.273373\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −0.668565 | − | 1.38829i | −0.0228111 | − | 0.0473678i | 0.889252 | − | 0.457418i | \(-0.151226\pi\) |
−0.912063 | + | 0.410050i | \(0.865511\pi\) | |||||||
\(860\) | −19.2364 | + | 9.26378i | −0.655957 | + | 0.315892i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −56.1320 | − | 27.0318i | −1.91186 | − | 0.920705i | ||||
\(863\) | − | 8.35209i | − | 0.284308i | −0.989845 | − | 0.142154i | \(-0.954597\pi\) | ||
0.989845 | − | 0.142154i | \(-0.0454029\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.3108 | + | 4.96543i | 0.350578 | + | 0.168830i | ||||
\(866\) | −54.6713 | + | 68.5556i | −1.85780 | + | 2.32961i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −36.2917 | + | 54.4058i | −1.23182 | + | 1.84665i | ||||
\(869\) | 3.45064 | − | 0.787586i | 0.117055 | − | 0.0267170i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −14.0243 | + | 3.20095i | −0.475194 | + | 0.108460i | ||||
\(872\) | −3.51620 | − | 2.80408i | −0.119074 | − | 0.0949581i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −20.0975 | + | 16.0272i | −0.679808 | + | 0.542129i | ||||
\(875\) | 10.0113 | + | 6.67808i | 0.338443 | + | 0.225760i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.33980 | + | 5.44194i | 0.146545 | + | 0.183761i | 0.849686 | − | 0.527289i | \(-0.176791\pi\) |
−0.703141 | + | 0.711050i | \(0.748220\pi\) | |||||||
\(878\) | −24.3176 | + | 11.7107i | −0.820678 | + | 0.395218i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.590011 | − | 0.134666i | 0.0198893 | − | 0.00453960i | ||||
\(881\) | 7.32559 | 0.246805 | 0.123403 | − | 0.992357i | \(-0.460619\pi\) | ||||
0.123403 | + | 0.992357i | \(0.460619\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −22.5244 | −0.758006 | −0.379003 | − | 0.925395i | \(-0.623733\pi\) | ||||
−0.379003 | + | 0.925395i | \(0.623733\pi\) | |||||||
\(884\) | 81.3719 | − | 18.5726i | 2.73683 | − | 0.624664i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 14.9545 | − | 7.20170i | 0.502406 | − | 0.241946i | ||||
\(887\) | −11.5791 | − | 14.5198i | −0.388790 | − | 0.487527i | 0.548464 | − | 0.836174i | \(-0.315213\pi\) |
−0.937254 | + | 0.348647i | \(0.886641\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.733178 | − | 8.61232i | −0.0245900 | − | 0.288848i | ||||
\(890\) | −14.9987 | + | 11.9610i | −0.502757 | + | 0.400935i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −88.3220 | − | 70.4344i | −2.95724 | − | 2.35832i | ||||
\(893\) | −12.7978 | + | 2.92102i | −0.428263 | + | 0.0977481i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.77544 | + | 1.77469i | −0.259904 | + | 0.0593215i | ||||
\(896\) | −41.8264 | + | 24.7166i | −1.39732 | + | 0.825723i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −0.0212333 | + | 0.0266258i | −0.000708566 | + | 0.000888513i | ||||
\(899\) | 23.0112 | + | 11.0816i | 0.767467 | + | 0.369593i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 48.0201i | 1.59978i | ||||||||
\(902\) | 1.53753 | + | 0.740435i | 0.0511941 | + | 0.0246538i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −74.5733 | + | 35.9126i | −2.48027 | + | 1.19444i | ||||
\(905\) | −2.55530 | − | 5.30614i | −0.0849411 | − | 0.176382i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.11869 | − | 13.6639i | 0.103554 | − | 0.453701i | −0.896391 | − | 0.443264i | \(-0.853820\pi\) |
0.999946 | − | 0.0104375i | \(-0.00332241\pi\) | |||||||
\(908\) | −33.7101 | + | 16.2339i | −1.11871 | + | 0.538742i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.895326 | − | 10.5170i | −0.0296798 | − | 0.348635i | ||||
\(911\) | −0.300343 | + | 0.623669i | −0.00995082 | + | 0.0206631i | −0.905885 | − | 0.423524i | \(-0.860793\pi\) |
0.895934 | + | 0.444187i | \(0.146507\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 4.11559i | − | 0.136206i | ||||||
\(914\) | 9.59777 | − | 19.9300i | 0.317466 | − | 0.659225i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −26.2856 | − | 5.99953i | −0.868502 | − | 0.198230i | ||||
\(917\) | 43.0263 | + | 6.04023i | 1.42085 | + | 0.199466i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 20.3863 | + | 9.81750i | 0.672480 | + | 0.323850i | 0.738777 | − | 0.673950i | \(-0.235404\pi\) |
−0.0662961 | + | 0.997800i | \(0.521118\pi\) | |||||||
\(920\) | −1.81434 | − | 7.94912i | −0.0598169 | − | 0.262075i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 66.2242 | + | 15.1152i | 2.18098 | + | 0.497794i | ||||
\(923\) | 4.87652 | + | 6.11496i | 0.160513 | + | 0.201276i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 22.5850 | − | 28.3207i | 0.742590 | − | 0.931178i | ||||
\(926\) | −25.6558 | + | 20.4598i | −0.843102 | + | 0.672352i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.30030 | − | 4.13845i | −0.108338 | − | 0.135851i | ||||
\(929\) | −2.08686 | − | 9.14312i | −0.0684675 | − | 0.299976i | 0.929088 | − | 0.369860i | \(-0.120594\pi\) |
−0.997555 | + | 0.0698839i | \(0.977737\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 19.0699 | + | 10.5009i | 0.624991 | + | 0.344154i | ||||
\(932\) | − | 1.48813i | − | 0.0487453i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 41.2191 | − | 32.8712i | 1.34873 | − | 1.07558i | ||||
\(935\) | −0.323017 | − | 0.670752i | −0.0105638 | − | 0.0219359i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 30.2732 | + | 24.1421i | 0.988982 | + | 0.788687i | 0.977433 | − | 0.211246i | \(-0.0677522\pi\) |
0.0115496 | + | 0.999933i | \(0.496324\pi\) | |||||||
\(938\) | 18.6681 | + | 19.7152i | 0.609535 | + | 0.643724i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1.79981 | − | 7.88550i | 0.0587035 | − | 0.257197i | ||||
\(941\) | −32.7472 | + | 41.0637i | −1.06753 | + | 1.33864i | −0.129694 | + | 0.991554i | \(0.541400\pi\) |
−0.937834 | + | 0.347084i | \(0.887172\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.64483 | − | 7.56856i | 0.118692 | − | 0.246466i | ||||
\(944\) | 1.81134 | + | 7.93600i | 0.0589541 | + | 0.258295i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.68256 | + | 7.37178i | −0.0547048 | + | 0.239677i | ||||
\(947\) | 11.7143 | + | 9.34187i | 0.380665 | + | 0.303570i | 0.795064 | − | 0.606525i | \(-0.207437\pi\) |
−0.414400 | + | 0.910095i | \(0.636008\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −14.9413 | −0.485014 | ||||||||
\(950\) | −36.8112 | −1.19431 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −55.7594 | − | 58.8870i | −1.80717 | − | 1.90854i | ||||
\(953\) | −1.61247 | − | 3.34833i | −0.0522330 | − | 0.108463i | 0.873219 | − | 0.487328i | \(-0.162029\pi\) |
−0.925452 | + | 0.378866i | \(0.876314\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.60029 | − | 0.821743i | −0.116503 | − | 0.0265910i | ||||
\(956\) | −66.8702 | − | 15.2627i | −2.16274 | − | 0.493630i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −8.16785 | − | 16.9607i | −0.263891 | − | 0.547976i | ||||
\(959\) | −5.08350 | + | 36.2113i | −0.164155 | + | 1.16932i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.96337 | −0.160109 | ||||||||
\(962\) | −64.9776 | −2.09496 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −55.1099 | − | 43.9487i | −1.77497 | − | 1.41549i | ||||
\(965\) | 0.216278 | − | 0.947576i | 0.00696224 | − | 0.0305036i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.0131 | − | 52.6327i | −0.386314 | − | 1.69255i | −0.677203 | − | 0.735797i | \(-0.736808\pi\) |
0.290888 | − | 0.956757i | \(-0.406049\pi\) | |||||||
\(968\) | −24.8855 | + | 51.6752i | −0.799849 | + | 1.66090i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 9.09737 | − | 11.4077i | 0.292099 | − | 0.366281i | ||||
\(971\) | −5.17843 | + | 22.6882i | −0.166184 | + | 0.728099i | 0.821315 | + | 0.570474i | \(0.193241\pi\) |
−0.987499 | + | 0.157624i | \(0.949617\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.95151 | + | 0.743196i | 0.0625627 | + | 0.0238258i | ||||
\(974\) | 29.3748 | + | 23.4256i | 0.941228 | + | 0.750604i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 22.2871 | + | 46.2797i | 0.713393 | + | 1.48138i | ||||
\(977\) | 7.02179 | − | 5.59969i | 0.224647 | − | 0.179150i | −0.504698 | − | 0.863296i | \(-0.668396\pi\) |
0.729345 | + | 0.684146i | \(0.239825\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.57441i | 0.146199i | ||||||||
\(980\) | −10.9277 | + | 7.77915i | −0.349072 | + | 0.248496i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0.969850 | + | 4.24919i | 0.0309491 | + | 0.135597i | ||||
\(983\) | −33.6961 | − | 42.2536i | −1.07474 | − | 1.34768i | −0.933853 | − | 0.357656i | \(-0.883576\pi\) |
−0.140887 | − | 0.990026i | \(-0.544995\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.53702 | + | 6.01057i | −0.240149 | + | 0.191513i | ||||
\(986\) | −38.3591 | + | 48.1008i | −1.22160 | + | 1.53184i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 27.7200 | + | 34.7598i | 0.881890 | + | 1.10586i | ||||
\(989\) | 36.2879 | + | 8.28249i | 1.15389 | + | 0.263368i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.02693 | − | 35.1683i | −0.254984 | − | 1.11716i | −0.926538 | − | 0.376202i | \(-0.877230\pi\) |
0.671554 | − | 0.740956i | \(-0.265627\pi\) | |||||||
\(992\) | 6.71529 | + | 3.23391i | 0.213211 | + | 0.102677i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 5.25393 | − | 13.7960i | 0.166644 | − | 0.437582i | ||||
\(995\) | −1.37919 | − | 0.314791i | −0.0437232 | − | 0.00997953i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 18.8351 | − | 39.1115i | 0.596514 | − | 1.23867i | −0.356088 | − | 0.934452i | \(-0.615890\pi\) |
0.952602 | − | 0.304221i | \(-0.0983960\pi\) | |||||||
\(998\) | 77.2080i | 2.44398i | ||||||||
\(999\) | 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 | 441.2.w.a.62.19 | yes | 120 | |
3.2 | odd | 2 | inner | 441.2.w.a.62.2 | ✓ | 120 | |
49.34 | odd | 14 | inner | 441.2.w.a.377.2 | yes | 120 | |
147.83 | even | 14 | inner | 441.2.w.a.377.19 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.w.a.62.2 | ✓ | 120 | 3.2 | odd | 2 | inner | |
441.2.w.a.62.19 | yes | 120 | 1.1 | even | 1 | trivial | |
441.2.w.a.377.2 | yes | 120 | 49.34 | odd | 14 | inner | |
441.2.w.a.377.19 | yes | 120 | 147.83 | even | 14 | inner |