Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(32,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.32");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.g (of order \(6\), degree \(2\), 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: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 15x^{14} + 150x^{12} + 837x^{10} + 3372x^{8} + 8010x^{6} + 13761x^{4} + 13392x^{2} + 8649 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 32.4 | ||
Root | \(-0.618600 - 1.07145i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 99.32 |
Dual form | 99.2.g.b.65.4 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.618600 | − | 1.07145i | −0.437416 | − | 0.757627i | 0.560073 | − | 0.828443i | \(-0.310773\pi\) |
−0.997489 | + | 0.0708158i | \(0.977440\pi\) | |||||||
\(3\) | −1.04881 | + | 1.37841i | −0.605529 | + | 0.795823i | ||||
\(4\) | 0.234668 | − | 0.406456i | 0.117334 | − | 0.203228i | ||||
\(5\) | 1.78348 | + | 1.02969i | 0.797594 | + | 0.460491i | 0.842629 | − | 0.538494i | \(-0.181007\pi\) |
−0.0450349 | + | 0.998985i | \(0.514340\pi\) | |||||||
\(6\) | 2.12568 | + | 0.271060i | 0.867806 | + | 0.110660i | ||||
\(7\) | 3.59283 | − | 2.07432i | 1.35796 | − | 0.784019i | 0.368612 | − | 0.929583i | \(-0.379833\pi\) |
0.989349 | + | 0.145564i | \(0.0464996\pi\) | |||||||
\(8\) | −3.05506 | −1.08013 | ||||||||
\(9\) | −0.800005 | − | 2.89137i | −0.266668 | − | 0.963788i | ||||
\(10\) | − | 2.54787i | − | 0.805706i | ||||||
\(11\) | 2.85069 | + | 1.69515i | 0.859517 | + | 0.511108i | ||||
\(12\) | 0.314140 | + | 0.749761i | 0.0906845 | + | 0.216437i | ||||
\(13\) | −0.747261 | − | 0.431431i | −0.207253 | − | 0.119658i | 0.392781 | − | 0.919632i | \(-0.371513\pi\) |
−0.600034 | + | 0.799974i | \(0.704846\pi\) | |||||||
\(14\) | −4.44505 | − | 2.56635i | −1.18799 | − | 0.685886i | ||||
\(15\) | −3.28985 | + | 1.37841i | −0.849436 | + | 0.355903i | ||||
\(16\) | 1.42053 | + | 2.46043i | 0.355132 | + | 0.615106i | ||||
\(17\) | −4.25136 | −1.03111 | −0.515553 | − | 0.856857i | \(-0.672414\pi\) | ||||
−0.515553 | + | 0.856857i | \(0.672414\pi\) | |||||||
\(18\) | −2.60306 | + | 2.64576i | −0.613548 | + | 0.623612i | ||||
\(19\) | 5.55362i | 1.27409i | 0.770827 | + | 0.637044i | \(0.219843\pi\) | ||||
−0.770827 | + | 0.637044i | \(0.780157\pi\) | |||||||
\(20\) | 0.837047 | − | 0.483270i | 0.187169 | − | 0.108062i | ||||
\(21\) | −0.908931 | + | 7.12794i | −0.198345 | + | 1.55544i | ||||
\(22\) | 0.0528262 | − | 4.10299i | 0.0112626 | − | 0.874760i | ||||
\(23\) | −2.25042 | − | 1.29928i | −0.469244 | − | 0.270918i | 0.246679 | − | 0.969097i | \(-0.420661\pi\) |
−0.715923 | + | 0.698179i | \(0.753994\pi\) | |||||||
\(24\) | 3.20417 | − | 4.21112i | 0.654049 | − | 0.859590i | ||||
\(25\) | −0.379477 | − | 0.657274i | −0.0758955 | − | 0.131455i | ||||
\(26\) | 1.06753i | 0.209361i | ||||||||
\(27\) | 4.82453 | + | 1.92976i | 0.928480 | + | 0.371382i | ||||
\(28\) | − | 1.94710i | − | 0.367968i | ||||||
\(29\) | −1.44670 | − | 2.50575i | −0.268645 | − | 0.465306i | 0.699867 | − | 0.714273i | \(-0.253242\pi\) |
−0.968512 | + | 0.248966i | \(0.919909\pi\) | |||||||
\(30\) | 3.51199 | + | 2.67222i | 0.641199 | + | 0.487879i | ||||
\(31\) | −2.40400 | + | 4.16385i | −0.431771 | + | 0.747849i | −0.997026 | − | 0.0770672i | \(-0.975444\pi\) |
0.565255 | + | 0.824916i | \(0.308778\pi\) | |||||||
\(32\) | −1.29759 | + | 2.24748i | −0.229383 | + | 0.397303i | ||||
\(33\) | −5.32644 | + | 2.15152i | −0.927214 | + | 0.374532i | ||||
\(34\) | 2.62989 | + | 4.55511i | 0.451023 | + | 0.781195i | ||||
\(35\) | 8.54363 | 1.44414 | ||||||||
\(36\) | −1.36295 | − | 0.353343i | −0.227158 | − | 0.0588905i | ||||
\(37\) | −11.7136 | −1.92571 | −0.962853 | − | 0.270028i | \(-0.912967\pi\) | ||||
−0.962853 | + | 0.270028i | \(0.912967\pi\) | |||||||
\(38\) | 5.95041 | − | 3.43547i | 0.965284 | − | 0.557307i | ||||
\(39\) | 1.37842 | − | 0.577540i | 0.220724 | − | 0.0924805i | ||||
\(40\) | −5.44863 | − | 3.14577i | −0.861504 | − | 0.497389i | ||||
\(41\) | 2.82512 | − | 4.89325i | 0.441209 | − | 0.764197i | −0.556570 | − | 0.830800i | \(-0.687883\pi\) |
0.997779 | + | 0.0666039i | \(0.0212164\pi\) | |||||||
\(42\) | 8.19947 | − | 3.43547i | 1.26521 | − | 0.530105i | ||||
\(43\) | 1.96401 | − | 1.13392i | 0.299509 | − | 0.172922i | −0.342713 | − | 0.939440i | \(-0.611346\pi\) |
0.642222 | + | 0.766518i | \(0.278013\pi\) | |||||||
\(44\) | 1.35797 | − | 0.760885i | 0.204722 | − | 0.114708i | ||||
\(45\) | 1.55042 | − | 5.98043i | 0.231123 | − | 0.891511i | ||||
\(46\) | 3.21494i | 0.474017i | ||||||||
\(47\) | −1.44104 | + | 0.831985i | −0.210197 | + | 0.121358i | −0.601403 | − | 0.798946i | \(-0.705391\pi\) |
0.391206 | + | 0.920303i | \(0.372058\pi\) | |||||||
\(48\) | −4.88132 | − | 0.622450i | −0.704558 | − | 0.0898430i | ||||
\(49\) | 5.10561 | − | 8.84317i | 0.729372 | − | 1.26331i | ||||
\(50\) | −0.469489 | + | 0.813180i | −0.0663958 | + | 0.115001i | ||||
\(51\) | 4.45886 | − | 5.86010i | 0.624366 | − | 0.820579i | ||||
\(52\) | −0.350716 | + | 0.202486i | −0.0486355 | + | 0.0280797i | ||||
\(53\) | 2.28109i | 0.313331i | 0.987652 | + | 0.156666i | \(0.0500745\pi\) | ||||
−0.987652 | + | 0.156666i | \(0.949925\pi\) | |||||||
\(54\) | −0.916822 | − | 6.36297i | −0.124764 | − | 0.865891i | ||||
\(55\) | 3.33866 | + | 5.95859i | 0.450185 | + | 0.803457i | ||||
\(56\) | −10.9763 | + | 6.33718i | −1.46677 | + | 0.846841i | ||||
\(57\) | −7.65514 | − | 5.82468i | −1.01395 | − | 0.771498i | ||||
\(58\) | −1.78985 | + | 3.10012i | −0.235019 | + | 0.407065i | ||||
\(59\) | 5.79946 | + | 3.34832i | 0.755025 | + | 0.435914i | 0.827507 | − | 0.561456i | \(-0.189759\pi\) |
−0.0724816 | + | 0.997370i | \(0.523092\pi\) | |||||||
\(60\) | −0.211760 | + | 1.66065i | −0.0273381 | + | 0.214389i | ||||
\(61\) | 5.78878 | − | 3.34215i | 0.741177 | − | 0.427919i | −0.0813198 | − | 0.996688i | \(-0.525914\pi\) |
0.822497 | + | 0.568769i | \(0.192580\pi\) | |||||||
\(62\) | 5.94845 | 0.755455 | ||||||||
\(63\) | −8.87190 | − | 8.72871i | −1.11775 | − | 1.09971i | ||||
\(64\) | 8.89286 | 1.11161 | ||||||||
\(65\) | −0.888481 | − | 1.53889i | −0.110202 | − | 0.190876i | ||||
\(66\) | 5.60018 | + | 4.37606i | 0.689334 | + | 0.538656i | ||||
\(67\) | −1.08746 | + | 1.88354i | −0.132855 | + | 0.230111i | −0.924776 | − | 0.380512i | \(-0.875748\pi\) |
0.791921 | + | 0.610623i | \(0.209081\pi\) | |||||||
\(68\) | −0.997657 | + | 1.72799i | −0.120984 | + | 0.209550i | ||||
\(69\) | 4.15119 | − | 1.73929i | 0.499744 | − | 0.209386i | ||||
\(70\) | −5.28509 | − | 9.15404i | −0.631689 | − | 1.09412i | ||||
\(71\) | 1.36195i | 0.161634i | 0.996729 | + | 0.0808168i | \(0.0257529\pi\) | ||||
−0.996729 | + | 0.0808168i | \(0.974247\pi\) | |||||||
\(72\) | 2.44406 | + | 8.83330i | 0.288036 | + | 1.04101i | ||||
\(73\) | 11.1781i | 1.30830i | 0.756367 | + | 0.654148i | \(0.226973\pi\) | ||||
−0.756367 | + | 0.654148i | \(0.773027\pi\) | |||||||
\(74\) | 7.24604 | + | 12.5505i | 0.842335 | + | 1.45897i | ||||
\(75\) | 1.30399 | + | 0.166280i | 0.150572 | + | 0.0192004i | ||||
\(76\) | 2.25730 | + | 1.30325i | 0.258930 | + | 0.149494i | ||||
\(77\) | 13.7583 | + | 0.177139i | 1.56791 | + | 0.0201869i | ||||
\(78\) | −1.47149 | − | 1.11964i | −0.166614 | − | 0.126774i | ||||
\(79\) | −9.22261 | + | 5.32468i | −1.03762 | + | 0.599073i | −0.919160 | − | 0.393885i | \(-0.871131\pi\) |
−0.118465 | + | 0.992958i | \(0.537797\pi\) | |||||||
\(80\) | 5.85081i | 0.654141i | ||||||||
\(81\) | −7.71999 | + | 4.62621i | −0.857776 | + | 0.514023i | ||||
\(82\) | −6.99047 | −0.771968 | ||||||||
\(83\) | −3.10289 | − | 5.37436i | −0.340586 | − | 0.589913i | 0.643955 | − | 0.765063i | \(-0.277292\pi\) |
−0.984542 | + | 0.175150i | \(0.943959\pi\) | |||||||
\(84\) | 2.68390 | + | 2.04214i | 0.292837 | + | 0.222815i | ||||
\(85\) | −7.58220 | − | 4.37759i | −0.822405 | − | 0.474816i | ||||
\(86\) | −2.42988 | − | 1.40289i | −0.262020 | − | 0.151277i | ||||
\(87\) | 4.97125 | + | 0.633917i | 0.532974 | + | 0.0679631i | ||||
\(88\) | −8.70905 | − | 5.17880i | −0.928388 | − | 0.552062i | ||||
\(89\) | − | 7.44670i | − | 0.789349i | −0.918821 | − | 0.394674i | \(-0.870857\pi\) | ||
0.918821 | − | 0.394674i | \(-0.129143\pi\) | |||||||
\(90\) | −7.36681 | + | 2.03830i | −0.776530 | + | 0.214856i | ||||
\(91\) | −3.57971 | −0.375255 | ||||||||
\(92\) | −1.05620 | + | 0.609797i | −0.110116 | + | 0.0635757i | ||||
\(93\) | −3.21814 | − | 7.68076i | −0.333705 | − | 0.796458i | ||||
\(94\) | 1.78286 | + | 1.02933i | 0.183888 | + | 0.106168i | ||||
\(95\) | −5.71851 | + | 9.90475i | −0.586707 | + | 1.01621i | ||||
\(96\) | −1.73703 | − | 4.14578i | −0.177285 | − | 0.423127i | ||||
\(97\) | 5.27494 | + | 9.13646i | 0.535589 | + | 0.927667i | 0.999135 | + | 0.0415940i | \(0.0132436\pi\) |
−0.463546 | + | 0.886073i | \(0.653423\pi\) | |||||||
\(98\) | −12.6333 | −1.27616 | ||||||||
\(99\) | 2.62074 | − | 9.59853i | 0.263394 | − | 0.964688i | ||||
\(100\) | −0.356204 | −0.0356204 | ||||||||
\(101\) | 0.517315 | + | 0.896016i | 0.0514748 | + | 0.0891569i | 0.890615 | − | 0.454759i | \(-0.150274\pi\) |
−0.839140 | + | 0.543916i | \(0.816941\pi\) | |||||||
\(102\) | −9.03704 | − | 1.15237i | −0.894801 | − | 0.114102i | ||||
\(103\) | 3.91199 | − | 6.77576i | 0.385460 | − | 0.667636i | −0.606373 | − | 0.795180i | \(-0.707376\pi\) |
0.991833 | + | 0.127544i | \(0.0407095\pi\) | |||||||
\(104\) | 2.28293 | + | 1.31805i | 0.223860 | + | 0.129245i | ||||
\(105\) | −8.96062 | + | 11.7766i | −0.874467 | + | 1.14928i | ||||
\(106\) | 2.44406 | − | 1.41108i | 0.237388 | − | 0.137056i | ||||
\(107\) | 7.88709 | 0.762473 | 0.381237 | − | 0.924477i | \(-0.375498\pi\) | ||||
0.381237 | + | 0.924477i | \(0.375498\pi\) | |||||||
\(108\) | 1.91652 | − | 1.50811i | 0.184417 | − | 0.145118i | ||||
\(109\) | − | 0.542120i | − | 0.0519257i | −0.999663 | − | 0.0259628i | \(-0.991735\pi\) | ||
0.999663 | − | 0.0259628i | \(-0.00826515\pi\) | |||||||
\(110\) | 4.31902 | − | 7.26319i | 0.411803 | − | 0.692518i | ||||
\(111\) | 12.2853 | − | 16.1461i | 1.16607 | − | 1.53252i | ||||
\(112\) | 10.2074 | + | 5.89326i | 0.964510 | + | 0.556860i | ||||
\(113\) | −5.40938 | − | 3.12311i | −0.508872 | − | 0.293797i | 0.223498 | − | 0.974704i | \(-0.428252\pi\) |
−0.732370 | + | 0.680907i | \(0.761586\pi\) | |||||||
\(114\) | −1.50536 | + | 11.8052i | −0.140990 | + | 1.10566i | ||||
\(115\) | −2.67571 | − | 4.63446i | −0.249511 | − | 0.432166i | ||||
\(116\) | −1.35797 | −0.126084 | ||||||||
\(117\) | −0.649613 | + | 2.50575i | −0.0600568 | + | 0.231657i | ||||
\(118\) | − | 8.28508i | − | 0.762704i | ||||||
\(119\) | −15.2744 | + | 8.81869i | −1.40020 | + | 0.808408i | ||||
\(120\) | 10.0507 | − | 4.21112i | 0.917500 | − | 0.384420i | ||||
\(121\) | 5.25291 | + | 9.66472i | 0.477538 | + | 0.878611i | ||||
\(122\) | −7.16188 | − | 4.13491i | −0.648406 | − | 0.374358i | ||||
\(123\) | 3.78187 | + | 9.02623i | 0.341000 | + | 0.813868i | ||||
\(124\) | 1.12828 | + | 1.95424i | 0.101323 | + | 0.175496i | ||||
\(125\) | − | 11.8599i | − | 1.06078i | ||||||
\(126\) | −3.86420 | + | 14.9053i | −0.344250 | + | 1.32787i | ||||
\(127\) | − | 17.8159i | − | 1.58091i | −0.612520 | − | 0.790455i | \(-0.709844\pi\) | ||
0.612520 | − | 0.790455i | \(-0.290156\pi\) | |||||||
\(128\) | −2.90595 | − | 5.03326i | −0.256852 | − | 0.444881i | ||||
\(129\) | −0.496865 | + | 3.89647i | −0.0437465 | + | 0.343065i | ||||
\(130\) | −1.09923 | + | 1.90392i | −0.0964088 | + | 0.166985i | ||||
\(131\) | 4.13059 | − | 7.15440i | 0.360892 | − | 0.625083i | −0.627216 | − | 0.778845i | \(-0.715806\pi\) |
0.988108 | + | 0.153763i | \(0.0491391\pi\) | |||||||
\(132\) | −0.375442 | + | 2.66986i | −0.0326780 | + | 0.232381i | ||||
\(133\) | 11.5200 | + | 19.9532i | 0.998910 | + | 1.73016i | ||||
\(134\) | 2.69082 | 0.232452 | ||||||||
\(135\) | 6.61737 | + | 8.40944i | 0.569533 | + | 0.723769i | ||||
\(136\) | 12.9882 | 1.11373 | ||||||||
\(137\) | 7.32054 | − | 4.22652i | 0.625436 | − | 0.361096i | −0.153546 | − | 0.988141i | \(-0.549069\pi\) |
0.778982 | + | 0.627046i | \(0.215736\pi\) | |||||||
\(138\) | −4.43149 | − | 3.37185i | −0.377233 | − | 0.287031i | ||||
\(139\) | −7.02666 | − | 4.05684i | −0.595993 | − | 0.344097i | 0.171470 | − | 0.985189i | \(-0.445148\pi\) |
−0.767464 | + | 0.641092i | \(0.778482\pi\) | |||||||
\(140\) | 2.00491 | − | 3.47261i | 0.169446 | − | 0.293489i | ||||
\(141\) | 0.364562 | − | 2.85893i | 0.0307016 | − | 0.240765i | ||||
\(142\) | 1.45926 | − | 0.842502i | 0.122458 | − | 0.0707012i | ||||
\(143\) | −1.39887 | − | 2.49660i | −0.116979 | − | 0.208776i | ||||
\(144\) | 5.97756 | − | 6.07561i | 0.498130 | − | 0.506301i | ||||
\(145\) | − | 5.95859i | − | 0.494834i | ||||||
\(146\) | 11.9767 | − | 6.91477i | 0.991201 | − | 0.572270i | ||||
\(147\) | 6.83468 | + | 16.3124i | 0.563715 | + | 1.34542i | ||||
\(148\) | −2.74880 | + | 4.76107i | −0.225950 | + | 0.391357i | ||||
\(149\) | −5.01907 | + | 8.69329i | −0.411179 | + | 0.712182i | −0.995019 | − | 0.0996863i | \(-0.968216\pi\) |
0.583840 | + | 0.811868i | \(0.301549\pi\) | |||||||
\(150\) | −0.628487 | − | 1.50002i | −0.0513158 | − | 0.122476i | ||||
\(151\) | 9.87222 | − | 5.69973i | 0.803390 | − | 0.463838i | −0.0412650 | − | 0.999148i | \(-0.513139\pi\) |
0.844655 | + | 0.535311i | \(0.179805\pi\) | |||||||
\(152\) | − | 16.9667i | − | 1.37618i | ||||||
\(153\) | 3.40111 | + | 12.2922i | 0.274963 | + | 0.993769i | ||||
\(154\) | −8.32112 | − | 14.8509i | −0.670535 | − | 1.19672i | ||||
\(155\) | −8.57494 | + | 4.95075i | −0.688756 | + | 0.397653i | ||||
\(156\) | 0.0887258 | − | 0.695797i | 0.00710375 | − | 0.0557084i | ||||
\(157\) | −1.90538 | + | 3.30021i | −0.152066 | + | 0.263386i | −0.931987 | − | 0.362492i | \(-0.881926\pi\) |
0.779921 | + | 0.625878i | \(0.215259\pi\) | |||||||
\(158\) | 11.4102 | + | 6.58769i | 0.907748 | + | 0.524089i | ||||
\(159\) | −3.14426 | − | 2.39242i | −0.249356 | − | 0.189731i | ||||
\(160\) | −4.62842 | + | 2.67222i | −0.365909 | + | 0.211258i | ||||
\(161\) | −10.7805 | −0.849621 | ||||||||
\(162\) | 9.73232 | + | 5.40978i | 0.764644 | + | 0.425032i | ||||
\(163\) | 5.80321 | 0.454542 | 0.227271 | − | 0.973832i | \(-0.427020\pi\) | ||||
0.227271 | + | 0.973832i | \(0.427020\pi\) | |||||||
\(164\) | −1.32593 | − | 2.29657i | −0.103537 | − | 0.179332i | ||||
\(165\) | −11.7150 | − | 1.64739i | −0.912009 | − | 0.128249i | ||||
\(166\) | −3.83889 | + | 6.64916i | −0.297956 | + | 0.516075i | ||||
\(167\) | −2.80467 | + | 4.85783i | −0.217032 | + | 0.375910i | −0.953899 | − | 0.300127i | \(-0.902971\pi\) |
0.736868 | + | 0.676037i | \(0.236304\pi\) | |||||||
\(168\) | 2.77684 | − | 21.7763i | 0.214238 | − | 1.68008i | ||||
\(169\) | −6.12773 | − | 10.6135i | −0.471364 | − | 0.816427i | ||||
\(170\) | 10.8319i | 0.830769i | ||||||||
\(171\) | 16.0576 | − | 4.44292i | 1.22795 | − | 0.339759i | ||||
\(172\) | − | 1.06438i | − | 0.0811581i | ||||||
\(173\) | −10.4803 | − | 18.1523i | −0.796800 | − | 1.38010i | −0.921690 | − | 0.387927i | \(-0.873191\pi\) |
0.124891 | − | 0.992171i | \(-0.460142\pi\) | |||||||
\(174\) | −2.39601 | − | 5.71857i | −0.181641 | − | 0.433524i | ||||
\(175\) | −2.72679 | − | 1.57431i | −0.206126 | − | 0.119007i | ||||
\(176\) | −0.121308 | + | 9.42193i | −0.00914393 | + | 0.710205i | ||||
\(177\) | −10.6979 | + | 4.48226i | −0.804100 | + | 0.336908i | ||||
\(178\) | −7.97875 | + | 4.60653i | −0.598032 | + | 0.345274i | ||||
\(179\) | 13.6285i | 1.01864i | 0.860577 | + | 0.509321i | \(0.170103\pi\) | ||||
−0.860577 | + | 0.509321i | \(0.829897\pi\) | |||||||
\(180\) | −2.06695 | − | 2.03359i | −0.154061 | − | 0.151575i | ||||
\(181\) | 6.84428 | 0.508731 | 0.254366 | − | 0.967108i | \(-0.418133\pi\) | ||||
0.254366 | + | 0.967108i | \(0.418133\pi\) | |||||||
\(182\) | 2.21441 | + | 3.83547i | 0.164143 | + | 0.284304i | ||||
\(183\) | −1.46447 | + | 11.4846i | −0.108257 | + | 0.848964i | ||||
\(184\) | 6.87516 | + | 3.96938i | 0.506844 | + | 0.292626i | ||||
\(185\) | −20.8909 | − | 12.0614i | −1.53593 | − | 0.886771i | ||||
\(186\) | −6.23879 | + | 8.19938i | −0.457450 | + | 0.601208i | ||||
\(187\) | −12.1193 | − | 7.20671i | −0.886254 | − | 0.527007i | ||||
\(188\) | 0.780960i | 0.0569573i | ||||||||
\(189\) | 21.3366 | − | 3.07433i | 1.55201 | − | 0.223625i | ||||
\(190\) | 14.1499 | 1.02654 | ||||||||
\(191\) | 20.6958 | − | 11.9487i | 1.49749 | − | 0.864577i | 0.497496 | − | 0.867466i | \(-0.334253\pi\) |
0.999996 | + | 0.00288872i | \(0.000919510\pi\) | |||||||
\(192\) | −9.32690 | + | 12.2580i | −0.673111 | + | 0.884642i | ||||
\(193\) | 13.1143 | + | 7.57157i | 0.943991 | + | 0.545013i | 0.891209 | − | 0.453593i | \(-0.149858\pi\) |
0.0527816 | + | 0.998606i | \(0.483191\pi\) | |||||||
\(194\) | 6.52615 | − | 11.3036i | 0.468551 | − | 0.811553i | ||||
\(195\) | 3.05307 | + | 0.389317i | 0.218635 | + | 0.0278796i | ||||
\(196\) | −2.39624 | − | 4.15041i | −0.171160 | − | 0.296458i | ||||
\(197\) | 5.74588 | 0.409377 | 0.204689 | − | 0.978827i | \(-0.434382\pi\) | ||||
0.204689 | + | 0.978827i | \(0.434382\pi\) | |||||||
\(198\) | −11.9055 | + | 3.12967i | −0.846087 | + | 0.222416i | ||||
\(199\) | 4.42831 | 0.313914 | 0.156957 | − | 0.987605i | \(-0.449832\pi\) | ||||
0.156957 | + | 0.987605i | \(0.449832\pi\) | |||||||
\(200\) | 1.15933 | + | 2.00801i | 0.0819768 | + | 0.141988i | ||||
\(201\) | −1.45575 | − | 3.47444i | −0.102680 | − | 0.245068i | ||||
\(202\) | 0.640023 | − | 1.10855i | 0.0450318 | − | 0.0779974i | ||||
\(203\) | −10.3955 | − | 6.00182i | −0.729618 | − | 0.421245i | ||||
\(204\) | −1.33552 | − | 3.18751i | −0.0935054 | − | 0.223170i | ||||
\(205\) | 10.0771 | − | 5.81799i | 0.703812 | − | 0.406346i | ||||
\(206\) | −9.67983 | −0.674426 | ||||||||
\(207\) | −1.95635 | + | 7.54621i | −0.135975 | + | 0.524498i | ||||
\(208\) | − | 2.45144i | − | 0.169977i | ||||||
\(209\) | −9.41424 | + | 15.8317i | −0.651196 | + | 1.09510i | ||||
\(210\) | 18.1610 | + | 2.31583i | 1.25323 | + | 0.159808i | ||||
\(211\) | −10.1616 | − | 5.86680i | −0.699553 | − | 0.403887i | 0.107628 | − | 0.994191i | \(-0.465674\pi\) |
−0.807181 | + | 0.590304i | \(0.799008\pi\) | |||||||
\(212\) | 0.927162 | + | 0.535297i | 0.0636777 | + | 0.0367644i | ||||
\(213\) | −1.87732 | − | 1.42842i | −0.128632 | − | 0.0978739i | ||||
\(214\) | −4.87895 | − | 8.45060i | −0.333518 | − | 0.577671i | ||||
\(215\) | 4.67035 | 0.318516 | ||||||||
\(216\) | −14.7392 | − | 5.89552i | −1.00288 | − | 0.401140i | ||||
\(217\) | 19.9466i | 1.35407i | ||||||||
\(218\) | −0.580853 | + | 0.335355i | −0.0393403 | + | 0.0227131i | ||||
\(219\) | −15.4079 | − | 11.7237i | −1.04117 | − | 0.792212i | ||||
\(220\) | 3.20538 | + | 0.0412695i | 0.216107 | + | 0.00278239i | ||||
\(221\) | 3.17688 | + | 1.83417i | 0.213700 | + | 0.123380i | ||||
\(222\) | −24.8994 | − | 3.17509i | −1.67114 | − | 0.213098i | ||||
\(223\) | −2.31437 | − | 4.00861i | −0.154982 | − | 0.268437i | 0.778071 | − | 0.628177i | \(-0.216199\pi\) |
−0.933052 | + | 0.359740i | \(0.882865\pi\) | |||||||
\(224\) | 10.7664i | 0.719362i | ||||||||
\(225\) | −1.59684 | + | 1.62303i | −0.106456 | + | 0.108202i | ||||
\(226\) | 7.72783i | 0.514047i | ||||||||
\(227\) | 11.3687 | + | 19.6912i | 0.754570 | + | 1.30695i | 0.945588 | + | 0.325367i | \(0.105488\pi\) |
−0.191018 | + | 0.981587i | \(0.561179\pi\) | |||||||
\(228\) | −4.16389 | + | 1.74462i | −0.275760 | + | 0.115540i | ||||
\(229\) | −1.79384 | + | 3.10702i | −0.118540 | + | 0.205318i | −0.919189 | − | 0.393816i | \(-0.871155\pi\) |
0.800649 | + | 0.599133i | \(0.204488\pi\) | |||||||
\(230\) | −3.31039 | + | 5.73376i | −0.218280 | + | 0.378073i | ||||
\(231\) | −14.6740 | + | 18.7788i | −0.965480 | + | 1.23555i | ||||
\(232\) | 4.41975 | + | 7.65523i | 0.290171 | + | 0.502590i | ||||
\(233\) | −18.6774 | −1.22360 | −0.611799 | − | 0.791013i | \(-0.709554\pi\) | ||||
−0.611799 | + | 0.791013i | \(0.709554\pi\) | |||||||
\(234\) | 3.08663 | − | 0.854032i | 0.201779 | − | 0.0558298i | ||||
\(235\) | −3.42675 | −0.223536 | ||||||||
\(236\) | 2.72189 | − | 1.57148i | 0.177180 | − | 0.102295i | ||||
\(237\) | 2.33318 | − | 18.2971i | 0.151556 | − | 1.18852i | ||||
\(238\) | 18.8975 | + | 10.9105i | 1.22494 | + | 0.707222i | ||||
\(239\) | −10.5212 | + | 18.2232i | −0.680557 | + | 1.17876i | 0.294254 | + | 0.955727i | \(0.404929\pi\) |
−0.974811 | + | 0.223033i | \(0.928404\pi\) | |||||||
\(240\) | −8.06479 | − | 6.13638i | −0.520580 | − | 0.396101i | ||||
\(241\) | 0.881555 | − | 0.508966i | 0.0567860 | − | 0.0327854i | −0.471338 | − | 0.881953i | \(-0.656229\pi\) |
0.528124 | + | 0.849167i | \(0.322896\pi\) | |||||||
\(242\) | 7.10579 | − | 11.6068i | 0.456777 | − | 0.746115i | ||||
\(243\) | 1.71999 | − | 15.4933i | 0.110337 | − | 0.993894i | ||||
\(244\) | − | 3.13718i | − | 0.200837i | ||||||
\(245\) | 18.2114 | − | 10.5144i | 1.16349 | − | 0.671739i | ||||
\(246\) | 7.33166 | − | 9.63571i | 0.467450 | − | 0.614350i | ||||
\(247\) | 2.39601 | − | 4.15001i | 0.152454 | − | 0.264059i | ||||
\(248\) | 7.34436 | − | 12.7208i | 0.466368 | − | 0.807772i | ||||
\(249\) | 10.6624 | + | 1.35963i | 0.675701 | + | 0.0861632i | ||||
\(250\) | −12.7072 | + | 7.33652i | −0.803676 | + | 0.464002i | ||||
\(251\) | 27.8935i | 1.76062i | 0.474396 | + | 0.880312i | \(0.342667\pi\) | ||||
−0.474396 | + | 0.880312i | \(0.657333\pi\) | |||||||
\(252\) | −5.62978 | + | 1.55769i | −0.354643 | + | 0.0981253i | ||||
\(253\) | −4.21277 | − | 7.51865i | −0.264855 | − | 0.472693i | ||||
\(254\) | −19.0888 | + | 11.0209i | −1.19774 | + | 0.691516i | ||||
\(255\) | 13.9864 | − | 5.86010i | 0.875860 | − | 0.366974i | ||||
\(256\) | 5.29761 | − | 9.17573i | 0.331101 | − | 0.573483i | ||||
\(257\) | 23.3280 | + | 13.4684i | 1.45516 | + | 0.840137i | 0.998767 | − | 0.0496416i | \(-0.0158079\pi\) |
0.456393 | + | 0.889778i | \(0.349141\pi\) | |||||||
\(258\) | 4.48222 | − | 1.87799i | 0.279051 | − | 0.116919i | ||||
\(259\) | −42.0850 | + | 24.2978i | −2.61503 | + | 1.50979i | ||||
\(260\) | −0.833990 | −0.0517219 | ||||||||
\(261\) | −6.08768 | + | 6.18754i | −0.376818 | + | 0.382999i | ||||
\(262\) | −10.2207 | −0.631440 | ||||||||
\(263\) | 9.05134 | + | 15.6774i | 0.558130 | + | 0.966709i | 0.997653 | + | 0.0684777i | \(0.0218142\pi\) |
−0.439523 | + | 0.898231i | \(0.644852\pi\) | |||||||
\(264\) | 16.2726 | − | 6.57304i | 1.00151 | − | 0.404543i | ||||
\(265\) | −2.34881 | + | 4.06826i | −0.144286 | + | 0.249911i | ||||
\(266\) | 14.2525 | − | 24.6861i | 0.873879 | − | 1.51360i | ||||
\(267\) | 10.2646 | + | 7.81016i | 0.628182 | + | 0.477974i | ||||
\(268\) | 0.510385 | + | 0.884013i | 0.0311767 | + | 0.0539997i | ||||
\(269\) | 12.2263i | 0.745451i | 0.927942 | + | 0.372726i | \(0.121577\pi\) | ||||
−0.927942 | + | 0.372726i | \(0.878423\pi\) | |||||||
\(270\) | 4.91676 | − | 12.2922i | 0.299224 | − | 0.748082i | ||||
\(271\) | − | 14.9816i | − | 0.910067i | −0.890474 | − | 0.455033i | \(-0.849627\pi\) | ||
0.890474 | − | 0.455033i | \(-0.150373\pi\) | |||||||
\(272\) | −6.03918 | − | 10.4602i | −0.366179 | − | 0.634240i | ||||
\(273\) | 3.75442 | − | 4.93429i | 0.227228 | − | 0.298637i | ||||
\(274\) | −9.05698 | − | 5.22905i | −0.547152 | − | 0.315898i | ||||
\(275\) | 0.0324060 | − | 2.51696i | 0.00195416 | − | 0.151778i | ||||
\(276\) | 0.267202 | − | 2.09543i | 0.0160837 | − | 0.126130i | ||||
\(277\) | 25.7169 | − | 14.8477i | 1.54518 | − | 0.892110i | 0.546682 | − | 0.837341i | \(-0.315891\pi\) |
0.998499 | − | 0.0547699i | \(-0.0174425\pi\) | |||||||
\(278\) | 10.0383i | 0.602055i | ||||||||
\(279\) | 13.9624 | + | 3.61974i | 0.835908 | + | 0.216708i | ||||
\(280\) | −26.1013 | −1.55985 | ||||||||
\(281\) | 1.30747 | + | 2.26461i | 0.0779973 | + | 0.135095i | 0.902386 | − | 0.430929i | \(-0.141814\pi\) |
−0.824388 | + | 0.566024i | \(0.808481\pi\) | |||||||
\(282\) | −3.28871 | + | 1.37793i | −0.195840 | + | 0.0820544i | ||||
\(283\) | −1.80894 | − | 1.04439i | −0.107530 | − | 0.0620827i | 0.445270 | − | 0.895396i | \(-0.353108\pi\) |
−0.552801 | + | 0.833314i | \(0.686441\pi\) | |||||||
\(284\) | 0.553572 | + | 0.319605i | 0.0328485 | + | 0.0189651i | ||||
\(285\) | −7.65514 | − | 18.2706i | −0.453452 | − | 1.08226i | ||||
\(286\) | −1.80963 | + | 3.04321i | −0.107006 | + | 0.179949i | ||||
\(287\) | − | 23.4408i | − | 1.38367i | ||||||
\(288\) | 7.53637 | + | 1.95380i | 0.444085 | + | 0.115129i | ||||
\(289\) | 1.07409 | 0.0631815 | ||||||||
\(290\) | −6.38432 | + | 3.68599i | −0.374900 | + | 0.216449i | ||||
\(291\) | −18.1261 | − | 2.31139i | −1.06257 | − | 0.135496i | ||||
\(292\) | 4.54340 | + | 2.62313i | 0.265882 | + | 0.153507i | ||||
\(293\) | 15.0707 | − | 26.1033i | 0.880442 | − | 1.52497i | 0.0295925 | − | 0.999562i | \(-0.490579\pi\) |
0.850850 | − | 0.525409i | \(-0.176088\pi\) | |||||||
\(294\) | 13.2499 | − | 17.4138i | 0.772751 | − | 1.01560i | ||||
\(295\) | 6.89546 | + | 11.9433i | 0.401469 | + | 0.695365i | ||||
\(296\) | 35.7858 | 2.08001 | ||||||||
\(297\) | 10.4820 | + | 13.6794i | 0.608228 | + | 0.793762i | ||||
\(298\) | 12.4192 | 0.719425 | ||||||||
\(299\) | 1.12110 | + | 1.94180i | 0.0648348 | + | 0.112297i | ||||
\(300\) | 0.373589 | − | 0.490994i | 0.0215692 | − | 0.0283475i | ||||
\(301\) | 4.70424 | − | 8.14798i | 0.271148 | − | 0.469642i | ||||
\(302\) | −12.2139 | − | 7.05171i | −0.702832 | − | 0.405780i | ||||
\(303\) | −1.77764 | − | 0.226679i | −0.102123 | − | 0.0130223i | ||||
\(304\) | −13.6643 | + | 7.88907i | −0.783700 | + | 0.452469i | ||||
\(305\) | 13.7655 | 0.788212 | ||||||||
\(306\) | 11.0666 | − | 11.2481i | 0.632633 | − | 0.643011i | ||||
\(307\) | 17.8758i | 1.02022i | 0.860108 | + | 0.510112i | \(0.170396\pi\) | ||||
−0.860108 | + | 0.510112i | \(0.829604\pi\) | |||||||
\(308\) | 3.30064 | − | 5.55059i | 0.188071 | − | 0.316274i | ||||
\(309\) | 5.23683 | + | 12.4988i | 0.297913 | + | 0.711031i | ||||
\(310\) | 10.6089 | + | 6.12506i | 0.602546 | + | 0.347880i | ||||
\(311\) | −23.5517 | − | 13.5976i | −1.33549 | − | 0.771047i | −0.349357 | − | 0.936990i | \(-0.613600\pi\) |
−0.986135 | + | 0.165943i | \(0.946933\pi\) | |||||||
\(312\) | −4.21116 | + | 1.76442i | −0.238410 | + | 0.0998907i | ||||
\(313\) | −4.40376 | − | 7.62754i | −0.248915 | − | 0.431134i | 0.714310 | − | 0.699830i | \(-0.246741\pi\) |
−0.963225 | + | 0.268695i | \(0.913407\pi\) | |||||||
\(314\) | 4.71467 | 0.266064 | ||||||||
\(315\) | −6.83494 | − | 24.7027i | −0.385105 | − | 1.39184i | ||||
\(316\) | 4.99811i | 0.281166i | ||||||||
\(317\) | 9.75760 | − | 5.63355i | 0.548041 | − | 0.316412i | −0.200290 | − | 0.979737i | \(-0.564189\pi\) |
0.748332 | + | 0.663325i | \(0.230855\pi\) | |||||||
\(318\) | −0.618311 | + | 4.84886i | −0.0346732 | + | 0.271911i | ||||
\(319\) | 0.123543 | − | 9.59550i | 0.00691706 | − | 0.537245i | ||||
\(320\) | 15.8602 | + | 9.15688i | 0.886611 | + | 0.511885i | ||||
\(321\) | −8.27204 | + | 10.8716i | −0.461700 | + | 0.606794i | ||||
\(322\) | 6.66881 | + | 11.5507i | 0.371638 | + | 0.643696i | ||||
\(323\) | − | 23.6105i | − | 1.31372i | ||||||
\(324\) | 0.0687216 | + | 4.22346i | 0.00381787 | + | 0.234636i | ||||
\(325\) | 0.654874i | 0.0363258i | ||||||||
\(326\) | −3.58987 | − | 6.21783i | −0.198824 | − | 0.344374i | ||||
\(327\) | 0.747261 | + | 0.568579i | 0.0413236 | + | 0.0314425i | ||||
\(328\) | −8.63091 | + | 14.9492i | −0.476562 | + | 0.825430i | ||||
\(329\) | −3.45161 | + | 5.97836i | −0.190293 | + | 0.329598i | ||||
\(330\) | 5.48179 | + | 13.5710i | 0.301763 | + | 0.747062i | ||||
\(331\) | −15.5610 | − | 26.9525i | −0.855312 | − | 1.48144i | −0.876355 | − | 0.481665i | \(-0.840032\pi\) |
0.0210431 | − | 0.999779i | \(-0.493301\pi\) | |||||||
\(332\) | −2.91259 | −0.159849 | ||||||||
\(333\) | 9.37094 | + | 33.8683i | 0.513524 | + | 1.85597i | ||||
\(334\) | 6.93987 | 0.379733 | ||||||||
\(335\) | −3.87893 | + | 2.23950i | −0.211929 | + | 0.122357i | ||||
\(336\) | −18.8289 | + | 7.88907i | −1.02720 | + | 0.430384i | ||||
\(337\) | −30.7641 | − | 17.7616i | −1.67582 | − | 0.967538i | −0.964275 | − | 0.264902i | \(-0.914660\pi\) |
−0.711550 | − | 0.702636i | \(-0.752006\pi\) | |||||||
\(338\) | −7.58124 | + | 13.1311i | −0.412365 | + | 0.714237i | ||||
\(339\) | 9.97832 | − | 4.18079i | 0.541948 | − | 0.227069i | ||||
\(340\) | −3.55859 | + | 2.05455i | −0.192992 | + | 0.111424i | ||||
\(341\) | −13.9114 | + | 7.79471i | −0.753346 | + | 0.422107i | ||||
\(342\) | −14.6936 | − | 14.4564i | −0.794537 | − | 0.781714i | ||||
\(343\) | − | 13.3222i | − | 0.719330i | ||||||
\(344\) | −6.00018 | + | 3.46420i | −0.323508 | + | 0.186777i | ||||
\(345\) | 9.19447 | + | 1.17245i | 0.495014 | + | 0.0631225i | ||||
\(346\) | −12.9662 | + | 22.4581i | −0.697066 | + | 1.20735i | ||||
\(347\) | 5.13984 | − | 8.90247i | 0.275921 | − | 0.477910i | −0.694446 | − | 0.719545i | \(-0.744350\pi\) |
0.970367 | + | 0.241635i | \(0.0776838\pi\) | |||||||
\(348\) | 1.42425 | − | 1.87183i | 0.0763478 | − | 0.100341i | ||||
\(349\) | 15.7643 | − | 9.10150i | 0.843841 | − | 0.487192i | −0.0147267 | − | 0.999892i | \(-0.504688\pi\) |
0.858568 | + | 0.512699i | \(0.171354\pi\) | |||||||
\(350\) | 3.89549i | 0.208222i | ||||||||
\(351\) | −2.77262 | − | 3.52348i | −0.147992 | − | 0.188070i | ||||
\(352\) | −7.50885 | + | 4.20728i | −0.400223 | + | 0.224249i | ||||
\(353\) | −5.50002 | + | 3.17544i | −0.292737 | + | 0.169012i | −0.639175 | − | 0.769061i | \(-0.720724\pi\) |
0.346439 | + | 0.938073i | \(0.387391\pi\) | |||||||
\(354\) | 11.4202 | + | 8.68946i | 0.606977 | + | 0.461840i | ||||
\(355\) | −1.40238 | + | 2.42900i | −0.0744308 | + | 0.128918i | ||||
\(356\) | −3.02676 | − | 1.74750i | −0.160418 | − | 0.0926173i | ||||
\(357\) | 3.86420 | − | 30.3034i | 0.204515 | − | 1.60383i | ||||
\(358\) | 14.6022 | − | 8.43060i | 0.771751 | − | 0.445571i | ||||
\(359\) | 0.878883 | 0.0463857 | 0.0231928 | − | 0.999731i | \(-0.492617\pi\) | ||||
0.0231928 | + | 0.999731i | \(0.492617\pi\) | |||||||
\(360\) | −4.73663 | + | 18.2706i | −0.249643 | + | 0.962945i | ||||
\(361\) | −11.8427 | −0.623301 | ||||||||
\(362\) | −4.23387 | − | 7.33329i | −0.222527 | − | 0.385429i | ||||
\(363\) | −18.8312 | − | 2.89579i | −0.988382 | − | 0.151990i | ||||
\(364\) | −0.840041 | + | 1.45499i | −0.0440301 | + | 0.0762624i | ||||
\(365\) | −11.5100 | + | 19.9358i | −0.602459 | + | 1.04349i | ||||
\(366\) | 13.2110 | − | 5.53525i | 0.690552 | − | 0.289332i | ||||
\(367\) | 4.57947 | + | 7.93188i | 0.239047 | + | 0.414041i | 0.960441 | − | 0.278484i | \(-0.0898318\pi\) |
−0.721394 | + | 0.692524i | \(0.756498\pi\) | |||||||
\(368\) | − | 7.38264i | − | 0.384847i | ||||||
\(369\) | −16.4083 | − | 4.25383i | −0.854180 | − | 0.221445i | ||||
\(370\) | 29.8447i | 1.55155i | ||||||||
\(371\) | 4.73170 | + | 8.19555i | 0.245658 | + | 0.425492i | ||||
\(372\) | −3.87708 | − | 0.494393i | −0.201017 | − | 0.0256331i | ||||
\(373\) | 9.13656 | + | 5.27499i | 0.473073 | + | 0.273129i | 0.717525 | − | 0.696533i | \(-0.245275\pi\) |
−0.244452 | + | 0.969661i | \(0.578608\pi\) | |||||||
\(374\) | −0.224583 | + | 17.4433i | −0.0116129 | + | 0.901971i | ||||
\(375\) | 16.3477 | + | 12.4387i | 0.844193 | + | 0.642333i | ||||
\(376\) | 4.40247 | − | 2.54177i | 0.227040 | − | 0.131082i | ||||
\(377\) | 2.49660i | 0.128581i | ||||||||
\(378\) | −16.4928 | − | 20.9593i | −0.848299 | − | 1.07803i | ||||
\(379\) | 15.2267 | 0.782145 | 0.391072 | − | 0.920360i | \(-0.372104\pi\) | ||||
0.391072 | + | 0.920360i | \(0.372104\pi\) | |||||||
\(380\) | 2.68390 | + | 4.64865i | 0.137681 | + | 0.238470i | ||||
\(381\) | 24.5576 | + | 18.6855i | 1.25812 | + | 0.957287i | ||||
\(382\) | −25.6048 | − | 14.7829i | −1.31006 | − | 0.756361i | ||||
\(383\) | 23.7003 | + | 13.6834i | 1.21103 | + | 0.699187i | 0.962983 | − | 0.269561i | \(-0.0868787\pi\) |
0.248045 | + | 0.968749i | \(0.420212\pi\) | |||||||
\(384\) | 9.98565 | + | 1.27334i | 0.509578 | + | 0.0649797i | ||||
\(385\) | 24.3553 | + | 14.4828i | 1.24126 | + | 0.738109i | ||||
\(386\) | − | 18.7351i | − | 0.953591i | ||||||
\(387\) | −4.84980 | − | 4.77153i | −0.246529 | − | 0.242551i | ||||
\(388\) | 4.95143 | 0.251371 | ||||||||
\(389\) | −10.7290 | + | 6.19442i | −0.543984 | + | 0.314069i | −0.746692 | − | 0.665170i | \(-0.768359\pi\) |
0.202708 | + | 0.979239i | \(0.435026\pi\) | |||||||
\(390\) | −1.47149 | − | 3.51203i | −0.0745120 | − | 0.177839i | ||||
\(391\) | 9.56734 | + | 5.52371i | 0.483841 | + | 0.279346i | ||||
\(392\) | −15.5979 | + | 27.0164i | −0.787815 | + | 1.36454i | ||||
\(393\) | 5.52946 | + | 13.1972i | 0.278925 | + | 0.665712i | ||||
\(394\) | −3.55441 | − | 6.15641i | −0.179068 | − | 0.310156i | ||||
\(395\) | −21.9311 | −1.10347 | ||||||||
\(396\) | −3.28638 | − | 3.31768i | −0.165147 | − | 0.166720i | ||||
\(397\) | 12.3514 | 0.619900 | 0.309950 | − | 0.950753i | \(-0.399688\pi\) | ||||
0.309950 | + | 0.950753i | \(0.399688\pi\) | |||||||
\(398\) | −2.73935 | − | 4.74470i | −0.137311 | − | 0.237830i | ||||
\(399\) | −39.5859 | − | 5.04786i | −1.98177 | − | 0.252709i | ||||
\(400\) | 1.07812 | − | 1.86735i | 0.0539058 | − | 0.0933676i | ||||
\(401\) | 0.502760 | + | 0.290268i | 0.0251066 | + | 0.0144953i | 0.512501 | − | 0.858687i | \(-0.328719\pi\) |
−0.487394 | + | 0.873182i | \(0.662053\pi\) | |||||||
\(402\) | −2.82216 | + | 3.70904i | −0.140756 | + | 0.184990i | ||||
\(403\) | 3.59283 | − | 2.07432i | 0.178971 | − | 0.103329i | ||||
\(404\) | 0.485588 | 0.0241589 | ||||||||
\(405\) | −18.5320 | + | 0.301541i | −0.920861 | + | 0.0149837i | ||||
\(406\) | 14.8509i | 0.737038i | ||||||||
\(407\) | −33.3919 | − | 19.8564i | −1.65518 | − | 0.984243i | ||||
\(408\) | −13.6221 | + | 17.9030i | −0.674395 | + | 0.886330i | ||||
\(409\) | −7.43480 | − | 4.29248i | −0.367627 | − | 0.212250i | 0.304794 | − | 0.952418i | \(-0.401412\pi\) |
−0.672421 | + | 0.740169i | \(0.734746\pi\) | |||||||
\(410\) | −12.4673 | − | 7.19802i | −0.615718 | − | 0.355485i | ||||
\(411\) | −1.85199 | + | 14.5235i | −0.0913517 | + | 0.716390i | ||||
\(412\) | −1.83603 | − | 3.18010i | −0.0904549 | − | 0.156672i | ||||
\(413\) | 27.7819 | 1.36706 | ||||||||
\(414\) | 9.29556 | − | 2.57196i | 0.456852 | − | 0.126405i | ||||
\(415\) | − | 12.7801i | − | 0.627348i | ||||||
\(416\) | 1.93927 | − | 1.11964i | 0.0950805 | − | 0.0548948i | ||||
\(417\) | 12.9616 | − | 5.43074i | 0.634732 | − | 0.265944i | ||||
\(418\) | 22.7865 | + | 0.293377i | 1.11452 | + | 0.0143495i | ||||
\(419\) | −2.88622 | − | 1.66636i | −0.141001 | − | 0.0814070i | 0.427840 | − | 0.903855i | \(-0.359275\pi\) |
−0.568841 | + | 0.822447i | \(0.692608\pi\) | |||||||
\(420\) | 2.68390 | + | 6.40568i | 0.130961 | + | 0.312565i | ||||
\(421\) | 0.811147 | + | 1.40495i | 0.0395329 | + | 0.0684730i | 0.885115 | − | 0.465373i | \(-0.154080\pi\) |
−0.845582 | + | 0.533846i | \(0.820746\pi\) | |||||||
\(422\) | 14.5168i | 0.706667i | ||||||||
\(423\) | 3.55841 | + | 3.50098i | 0.173016 | + | 0.170224i | ||||
\(424\) | − | 6.96886i | − | 0.338438i | ||||||
\(425\) | 1.61330 | + | 2.79431i | 0.0782563 | + | 0.135544i | ||||
\(426\) | −0.369170 | + | 2.89507i | −0.0178863 | + | 0.140267i | ||||
\(427\) | 13.8654 | − | 24.0156i | 0.670993 | − | 1.16219i | ||||
\(428\) | 1.85084 | − | 3.20575i | 0.0894639 | − | 0.154956i | ||||
\(429\) | 4.90847 | + | 0.690243i | 0.236983 | + | 0.0333252i | ||||
\(430\) | −2.88908 | − | 5.00404i | −0.139324 | − | 0.241316i | ||||
\(431\) | −34.0188 | −1.63863 | −0.819313 | − | 0.573347i | \(-0.805645\pi\) | ||||
−0.819313 | + | 0.573347i | \(0.805645\pi\) | |||||||
\(432\) | 2.10535 | + | 14.6117i | 0.101294 | + | 0.703004i | ||||
\(433\) | −28.6069 | −1.37476 | −0.687380 | − | 0.726298i | \(-0.741239\pi\) | ||||
−0.687380 | + | 0.726298i | \(0.741239\pi\) | |||||||
\(434\) | 21.3718 | − | 12.3390i | 1.02588 | − | 0.592291i | ||||
\(435\) | 8.21336 | + | 6.24942i | 0.393800 | + | 0.299637i | ||||
\(436\) | −0.220348 | − | 0.127218i | −0.0105527 | − | 0.00609263i | ||||
\(437\) | 7.21570 | − | 12.4980i | 0.345174 | − | 0.597859i | ||||
\(438\) | −3.02993 | + | 23.7610i | −0.144776 | + | 1.13535i | ||||
\(439\) | −10.4122 | + | 6.01151i | −0.496949 | + | 0.286914i | −0.727453 | − | 0.686158i | \(-0.759296\pi\) |
0.230503 | + | 0.973071i | \(0.425963\pi\) | |||||||
\(440\) | −10.1998 | − | 18.2039i | −0.486257 | − | 0.867836i | ||||
\(441\) | −29.6533 | − | 7.68760i | −1.41206 | − | 0.366076i | ||||
\(442\) | − | 4.53847i | − | 0.215873i | ||||||
\(443\) | 22.2214 | − | 12.8295i | 1.05577 | − | 0.609548i | 0.131510 | − | 0.991315i | \(-0.458017\pi\) |
0.924259 | + | 0.381766i | \(0.124684\pi\) | |||||||
\(444\) | −3.67972 | − | 8.78241i | −0.174632 | − | 0.416795i | ||||
\(445\) | 7.66779 | − | 13.2810i | 0.363488 | − | 0.629580i | ||||
\(446\) | −2.86334 | + | 4.95946i | −0.135583 | + | 0.234837i | ||||
\(447\) | −6.71884 | − | 16.0359i | −0.317790 | − | 0.758473i | ||||
\(448\) | 31.9505 | − | 18.4466i | 1.50952 | − | 0.871521i | ||||
\(449\) | − | 19.4014i | − | 0.915608i | −0.889053 | − | 0.457804i | \(-0.848636\pi\) | ||
0.889053 | − | 0.457804i | \(-0.151364\pi\) | |||||||
\(450\) | 2.72679 | + | 0.706918i | 0.128542 | + | 0.0333244i | ||||
\(451\) | 16.3483 | − | 9.16014i | 0.769813 | − | 0.431334i | ||||
\(452\) | −2.53881 | + | 1.46578i | −0.119416 | + | 0.0689447i | ||||
\(453\) | −2.49752 | + | 19.5859i | −0.117344 | + | 0.920224i | ||||
\(454\) | 14.0654 | − | 24.3620i | 0.660123 | − | 1.14337i | ||||
\(455\) | −6.38432 | − | 3.68599i | −0.299301 | − | 0.172802i | ||||
\(456\) | 23.3869 | + | 17.7948i | 1.09519 | + | 0.833316i | ||||
\(457\) | 10.5984 | − | 6.11897i | 0.495770 | − | 0.286233i | −0.231195 | − | 0.972907i | \(-0.574263\pi\) |
0.726965 | + | 0.686674i | \(0.240930\pi\) | |||||||
\(458\) | 4.43867 | 0.207406 | ||||||||
\(459\) | −20.5108 | − | 8.20409i | −0.957362 | − | 0.382934i | ||||
\(460\) | −2.51161 | −0.117104 | ||||||||
\(461\) | −16.4063 | − | 28.4165i | −0.764116 | − | 1.32349i | −0.940713 | − | 0.339205i | \(-0.889842\pi\) |
0.176596 | − | 0.984283i | \(-0.443491\pi\) | |||||||
\(462\) | 29.1978 | + | 4.10588i | 1.35841 | + | 0.191023i | ||||
\(463\) | 2.52075 | − | 4.36606i | 0.117149 | − | 0.202908i | −0.801488 | − | 0.598011i | \(-0.795958\pi\) |
0.918637 | + | 0.395103i | \(0.129291\pi\) | |||||||
\(464\) | 4.11014 | − | 7.11898i | 0.190809 | − | 0.330490i | ||||
\(465\) | 2.16933 | − | 17.0121i | 0.100600 | − | 0.788919i | ||||
\(466\) | 11.5539 | + | 20.0119i | 0.535222 | + | 0.927032i | ||||
\(467\) | 9.20108i | 0.425775i | 0.977077 | + | 0.212888i | \(0.0682868\pi\) | ||||
−0.977077 | + | 0.212888i | \(0.931713\pi\) | |||||||
\(468\) | 0.866035 | + | 0.852058i | 0.0400325 | + | 0.0393864i | ||||
\(469\) | 9.02299i | 0.416643i | ||||||||
\(470\) | 2.11979 | + | 3.67158i | 0.0977785 | + | 0.169357i | ||||
\(471\) | −2.55065 | − | 6.08767i | −0.117528 | − | 0.280505i | ||||
\(472\) | −17.7177 | − | 10.2293i | −0.815524 | − | 0.470843i | ||||
\(473\) | 7.52097 | + | 0.0968329i | 0.345814 | + | 0.00445238i | ||||
\(474\) | −21.0476 | + | 8.81869i | −0.966750 | + | 0.405056i | ||||
\(475\) | 3.65025 | − | 2.10747i | 0.167485 | − | 0.0966975i | ||||
\(476\) | 8.27784i | 0.379414i | ||||||||
\(477\) | 6.59546 | − | 1.82488i | 0.301985 | − | 0.0835555i | ||||
\(478\) | 26.0336 | 1.19075 | ||||||||
\(479\) | 6.98309 | + | 12.0951i | 0.319065 | + | 0.552637i | 0.980293 | − | 0.197548i | \(-0.0632977\pi\) |
−0.661228 | + | 0.750185i | \(0.729964\pi\) | |||||||
\(480\) | 1.17092 | − | 9.18249i | 0.0534450 | − | 0.419121i | ||||
\(481\) | 8.75312 | + | 5.05362i | 0.399108 | + | 0.230425i | ||||
\(482\) | −1.09066 | − | 0.629693i | −0.0496782 | − | 0.0286817i | ||||
\(483\) | 11.3067 | − | 14.8599i | 0.514470 | − | 0.676148i | ||||
\(484\) | 5.16097 | + | 0.132918i | 0.234590 | + | 0.00604171i | ||||
\(485\) | 21.7262i | 0.986536i | ||||||||
\(486\) | −17.6642 | + | 7.74127i | −0.801265 | + | 0.351151i | ||||
\(487\) | −28.9483 | −1.31177 | −0.655886 | − | 0.754860i | \(-0.727705\pi\) | ||||
−0.655886 | + | 0.754860i | \(0.727705\pi\) | |||||||
\(488\) | −17.6851 | + | 10.2105i | −0.800566 | + | 0.462207i | ||||
\(489\) | −6.08645 | + | 7.99918i | −0.275239 | + | 0.361735i | ||||
\(490\) | −22.5312 | − | 13.0084i | −1.01786 | − | 0.587660i | ||||
\(491\) | −9.63961 | + | 16.6963i | −0.435029 | + | 0.753493i | −0.997298 | − | 0.0734617i | \(-0.976595\pi\) |
0.562269 | + | 0.826955i | \(0.309929\pi\) | |||||||
\(492\) | 4.55625 | + | 0.580998i | 0.205412 | + | 0.0261934i | ||||
\(493\) | 6.15043 | + | 10.6529i | 0.277001 | + | 0.479781i | ||||
\(494\) | −5.92868 | −0.266744 | ||||||||
\(495\) | 14.5575 | − | 14.4202i | 0.654312 | − | 0.648139i | ||||
\(496\) | −13.6598 | −0.613342 | ||||||||
\(497\) | 2.82512 | + | 4.89325i | 0.126724 | + | 0.219492i | ||||
\(498\) | −5.13898 | − | 12.2652i | −0.230283 | − | 0.549619i | ||||
\(499\) | −16.9288 | + | 29.3216i | −0.757838 | + | 1.31261i | 0.186112 | + | 0.982528i | \(0.440411\pi\) |
−0.943951 | + | 0.330086i | \(0.892922\pi\) | |||||||
\(500\) | −4.82052 | − | 2.78313i | −0.215580 | − | 0.124465i | ||||
\(501\) | −3.75450 | − | 8.96089i | −0.167739 | − | 0.400343i | ||||
\(502\) | 29.8864 | − | 17.2549i | 1.33390 | − | 0.770126i | ||||
\(503\) | −4.01382 | −0.178967 | −0.0894836 | − | 0.995988i | \(-0.528522\pi\) | ||||
−0.0894836 | + | 0.995988i | \(0.528522\pi\) | |||||||
\(504\) | 27.1042 | + | 26.6668i | 1.20732 | + | 1.18783i | ||||
\(505\) | 2.13070i | 0.0948148i | ||||||||
\(506\) | −5.44981 | + | 9.16480i | −0.242274 | + | 0.407425i | ||||
\(507\) | 21.0566 | + | 2.68507i | 0.935156 | + | 0.119248i | ||||
\(508\) | −7.24140 | − | 4.18082i | −0.321285 | − | 0.185494i | ||||
\(509\) | 3.23995 | + | 1.87059i | 0.143608 | + | 0.0829123i | 0.570083 | − | 0.821587i | \(-0.306911\pi\) |
−0.426474 | + | 0.904500i | \(0.640245\pi\) | |||||||
\(510\) | −14.9308 | − | 11.3606i | −0.661145 | − | 0.503055i | ||||
\(511\) | 23.1869 | + | 40.1609i | 1.02573 | + | 1.77662i | ||||
\(512\) | −24.7322 | −1.09302 | ||||||||
\(513\) | −10.7171 | + | 26.7936i | −0.473173 | + | 1.18297i | ||||
\(514\) | − | 33.3263i | − | 1.46996i | ||||||
\(515\) | 13.9539 | − | 8.05627i | 0.614881 | − | 0.355002i | ||||
\(516\) | 1.46715 | + | 1.11633i | 0.0645875 | + | 0.0491436i | ||||
\(517\) | −5.51831 | − | 0.0710486i | −0.242695 | − | 0.00312471i | ||||
\(518\) | 52.0675 | + | 30.0612i | 2.28772 | + | 1.32081i | ||||
\(519\) | 36.0131 | + | 4.59227i | 1.58080 | + | 0.201578i | ||||
\(520\) | 2.71436 | + | 4.70142i | 0.119033 | + | 0.206171i | ||||
\(521\) | − | 13.3122i | − | 0.583216i | −0.956538 | − | 0.291608i | \(-0.905810\pi\) | ||
0.956538 | − | 0.291608i | \(-0.0941903\pi\) | |||||||
\(522\) | 10.3955 | + | 2.69501i | 0.454997 | + | 0.117957i | ||||
\(523\) | 19.7745i | 0.864678i | 0.901711 | + | 0.432339i | \(0.142312\pi\) | ||||
−0.901711 | + | 0.432339i | \(0.857688\pi\) | |||||||
\(524\) | −1.93863 | − | 3.35781i | −0.0846895 | − | 0.146687i | ||||
\(525\) | 5.02993 | − | 2.10747i | 0.219524 | − | 0.0919777i | ||||
\(526\) | 11.1983 | − | 19.3961i | 0.488270 | − | 0.845709i | ||||
\(527\) | 10.2203 | − | 17.7020i | 0.445202 | − | 0.771112i | ||||
\(528\) | −12.8600 | − | 10.0490i | −0.559660 | − | 0.437327i | ||||
\(529\) | −8.12375 | − | 14.0707i | −0.353207 | − | 0.611772i | ||||
\(530\) | 5.81190 | 0.252453 | ||||||||
\(531\) | 5.04162 | − | 19.4470i | 0.218788 | − | 0.843929i | ||||
\(532\) | 10.8135 | 0.468823 | ||||||||
\(533\) | −4.22220 | + | 2.43769i | −0.182884 | + | 0.105588i | ||||
\(534\) | 2.01850 | − | 15.8293i | 0.0873491 | − | 0.685001i | ||||
\(535\) | 14.0664 | + | 8.12125i | 0.608145 | + | 0.351112i | ||||
\(536\) | 3.32227 | − | 5.75434i | 0.143500 | − | 0.248550i | ||||
\(537\) | −18.7856 | − | 14.2937i | −0.810659 | − | 0.616818i | ||||
\(538\) | 13.0998 | − | 7.56320i | 0.564774 | − | 0.326073i | ||||
\(539\) | 29.5450 | − | 16.5544i | 1.27260 | − | 0.713048i | ||||
\(540\) | 4.97095 | − | 0.716249i | 0.213916 | − | 0.0308225i | ||||
\(541\) | 23.4225i | 1.00701i | 0.863992 | + | 0.503506i | \(0.167957\pi\) | ||||
−0.863992 | + | 0.503506i | \(0.832043\pi\) | |||||||
\(542\) | −16.0520 | + | 9.26761i | −0.689492 | + | 0.398078i | ||||
\(543\) | −7.17834 | + | 9.43420i | −0.308052 | + | 0.404860i | ||||
\(544\) | 5.51651 | − | 9.55487i | 0.236518 | − | 0.409662i | ||||
\(545\) | 0.558215 | − | 0.966857i | 0.0239113 | − | 0.0414156i | ||||
\(546\) | −7.60932 | − | 0.970315i | −0.325649 | − | 0.0415256i | ||||
\(547\) | −17.2285 | + | 9.94686i | −0.736636 | + | 0.425297i | −0.820845 | − | 0.571151i | \(-0.806497\pi\) |
0.0842088 | + | 0.996448i | \(0.473164\pi\) | |||||||
\(548\) | − | 3.96730i | − | 0.169475i | ||||||
\(549\) | −14.2944 | − | 14.0637i | −0.610072 | − | 0.600226i | ||||
\(550\) | −2.71683 | + | 1.52227i | −0.115846 | + | 0.0649098i | ||||
\(551\) | 13.9160 | − | 8.03440i | 0.592841 | − | 0.342277i | ||||
\(552\) | −12.6821 | + | 5.31365i | −0.539788 | + | 0.226164i | ||||
\(553\) | −22.0902 | + | 38.2613i | −0.939369 | + | 1.62704i | ||||
\(554\) | −31.8170 | − | 18.3696i | −1.35177 | − | 0.780447i | ||||
\(555\) | 38.5360 | − | 16.1461i | 1.63576 | − | 0.685364i | ||||
\(556\) | −3.29786 | + | 1.90402i | −0.139860 | + | 0.0807484i | ||||
\(557\) | −6.10079 | −0.258499 | −0.129249 | − | 0.991612i | \(-0.541257\pi\) | ||||
−0.129249 | + | 0.991612i | \(0.541257\pi\) | |||||||
\(558\) | −4.75879 | − | 17.1992i | −0.201456 | − | 0.728098i | ||||
\(559\) | −1.95684 | −0.0827655 | ||||||||
\(560\) | 12.1365 | + | 21.0210i | 0.512859 | + | 0.888297i | ||||
\(561\) | 22.6446 | − | 9.14691i | 0.956057 | − | 0.386183i | ||||
\(562\) | 1.61761 | − | 2.80177i | 0.0682346 | − | 0.118186i | ||||
\(563\) | −0.00492939 | + | 0.00853795i | −0.000207749 | + | 0.000359832i | −0.866129 | − | 0.499820i | \(-0.833399\pi\) |
0.865922 | + | 0.500180i | \(0.166733\pi\) | |||||||
\(564\) | −1.07648 | − | 0.819077i | −0.0453280 | − | 0.0344893i | ||||
\(565\) | −6.43167 | − | 11.1400i | −0.270582 | − | 0.468662i | ||||
\(566\) | 2.58424i | 0.108624i | ||||||||
\(567\) | −18.1403 | + | 32.6349i | −0.761822 | + | 1.37054i | ||||
\(568\) | − | 4.16084i | − | 0.174585i | ||||||
\(569\) | 3.45428 | + | 5.98299i | 0.144811 | + | 0.250820i | 0.929302 | − | 0.369320i | \(-0.120409\pi\) |
−0.784491 | + | 0.620140i | \(0.787076\pi\) | |||||||
\(570\) | −14.8405 | + | 19.5043i | −0.621600 | + | 0.816944i | ||||
\(571\) | 16.6286 | + | 9.60053i | 0.695886 | + | 0.401770i | 0.805813 | − | 0.592170i | \(-0.201729\pi\) |
−0.109927 | + | 0.993940i | \(0.535062\pi\) | |||||||
\(572\) | −1.34303 | − | 0.0172916i | −0.0561548 | − | 0.000722997i | ||||
\(573\) | −5.23571 | + | 41.0590i | −0.218725 | + | 1.71527i | ||||
\(574\) | −25.1156 | + | 14.5005i | −1.04830 | + | 0.605238i | ||||
\(575\) | 1.97219i | 0.0822459i | ||||||||
\(576\) | −7.11433 | − | 25.7125i | −0.296430 | − | 1.07135i | ||||
\(577\) | 25.0209 | 1.04163 | 0.520816 | − | 0.853669i | \(-0.325628\pi\) | ||||
0.520816 | + | 0.853669i | \(0.325628\pi\) | |||||||
\(578\) | −0.664430 | − | 1.15083i | −0.0276366 | − | 0.0478681i | ||||
\(579\) | −24.1911 | + | 10.1358i | −1.00535 | + | 0.421228i | ||||
\(580\) | −2.42191 | − | 1.39829i | −0.100564 | − | 0.0580608i | ||||
\(581\) | −22.2963 | − | 12.8728i | −0.925006 | − | 0.534052i | ||||
\(582\) | 8.73631 | + | 20.8510i | 0.362132 | + | 0.864303i | ||||
\(583\) | −3.86679 | + | 6.50268i | −0.160146 | + | 0.269314i | ||||
\(584\) | − | 34.1497i | − | 1.41313i | ||||||
\(585\) | −3.73872 | + | 3.80005i | −0.154577 | + | 0.157113i | ||||
\(586\) | −37.2911 | −1.54048 | ||||||||
\(587\) | −37.0963 | + | 21.4176i | −1.53113 | + | 0.883998i | −0.531820 | + | 0.846858i | \(0.678492\pi\) |
−0.999310 | + | 0.0371404i | \(0.988175\pi\) | |||||||
\(588\) | 8.23414 | + | 1.04999i | 0.339570 | + | 0.0433009i | ||||
\(589\) | −23.1244 | − | 13.3509i | −0.952826 | − | 0.550114i | ||||
\(590\) | 8.53107 | − | 14.7762i | 0.351218 | − | 0.608328i | ||||
\(591\) | −6.02633 | + | 7.92016i | −0.247890 | + | 0.325792i | ||||
\(592\) | −16.6395 | − | 28.8205i | −0.683879 | − | 1.18451i | ||||
\(593\) | 21.7398 | 0.892745 | 0.446373 | − | 0.894847i | \(-0.352716\pi\) | ||||
0.446373 | + | 0.894847i | \(0.352716\pi\) | |||||||
\(594\) | 8.17263 | − | 19.6930i | 0.335327 | − | 0.808015i | ||||
\(595\) | −36.3221 | −1.48906 | ||||||||
\(596\) | 2.35563 | + | 4.08007i | 0.0964902 | + | 0.167126i | ||||
\(597\) | −4.64444 | + | 6.10400i | −0.190084 | + | 0.249820i | ||||
\(598\) | 1.38702 | − | 2.40240i | 0.0567196 | − | 0.0982413i | ||||
\(599\) | −9.32083 | − | 5.38138i | −0.380839 | − | 0.219877i | 0.297344 | − | 0.954770i | \(-0.403899\pi\) |
−0.678183 | + | 0.734893i | \(0.737232\pi\) | |||||||
\(600\) | −3.98377 | − | 0.507997i | −0.162637 | − | 0.0207389i | ||||
\(601\) | −22.6605 | + | 13.0831i | −0.924343 | + | 0.533670i | −0.885018 | − | 0.465557i | \(-0.845854\pi\) |
−0.0393250 | + | 0.999226i | \(0.512521\pi\) | |||||||
\(602\) | −11.6402 | −0.474418 | ||||||||
\(603\) | 6.31599 | + | 1.63741i | 0.257207 | + | 0.0666806i | ||||
\(604\) | − | 5.35017i | − | 0.217695i | ||||||
\(605\) | −0.583225 | + | 22.6457i | −0.0237115 | + | 0.920677i | ||||
\(606\) | 0.856773 | + | 2.04487i | 0.0348040 | + | 0.0830671i | ||||
\(607\) | 16.9909 | + | 9.80971i | 0.689640 | + | 0.398164i | 0.803477 | − | 0.595335i | \(-0.202981\pi\) |
−0.113837 | + | 0.993499i | \(0.536314\pi\) | |||||||
\(608\) | −12.4817 | − | 7.20630i | −0.506199 | − | 0.292254i | ||||
\(609\) | 19.1758 | − | 8.03440i | 0.777042 | − | 0.325570i | ||||
\(610\) | −8.51536 | − | 14.7490i | −0.344777 | − | 0.597171i | ||||
\(611\) | 1.43578 | 0.0580854 | ||||||||
\(612\) | 5.79439 | + | 1.50219i | 0.234224 | + | 0.0607224i | ||||
\(613\) | 33.5233i | 1.35399i | 0.735987 | + | 0.676996i | \(0.236718\pi\) | ||||
−0.735987 | + | 0.676996i | \(0.763282\pi\) | |||||||
\(614\) | 19.1530 | − | 11.0580i | 0.772950 | − | 0.446263i | ||||
\(615\) | −2.54934 | + | 19.9922i | −0.102799 | + | 0.806164i | ||||
\(616\) | −42.0326 | − | 0.541172i | −1.69354 | − | 0.0218044i | ||||
\(617\) | 16.5667 | + | 9.56478i | 0.666950 | + | 0.385064i | 0.794920 | − | 0.606714i | \(-0.207513\pi\) |
−0.127970 | + | 0.991778i | \(0.540846\pi\) | |||||||
\(618\) | 10.1523 | − | 13.3427i | 0.408385 | − | 0.536723i | ||||
\(619\) | −16.6869 | − | 28.9026i | −0.670704 | − | 1.16169i | −0.977705 | − | 0.209984i | \(-0.932659\pi\) |
0.307001 | − | 0.951709i | \(-0.400675\pi\) | |||||||
\(620\) | 4.64712i | 0.186633i | ||||||||
\(621\) | −8.34990 | − | 10.6112i | −0.335070 | − | 0.425811i | ||||
\(622\) | 33.6458i | 1.34907i | ||||||||
\(623\) | −15.4468 | − | 26.7547i | −0.618865 | − | 1.07190i | ||||
\(624\) | 3.37908 | + | 2.57109i | 0.135271 | + | 0.102926i | ||||
\(625\) | 10.3146 | − | 17.8654i | 0.412584 | − | 0.714617i | ||||
\(626\) | −5.44834 | + | 9.43680i | −0.217759 | + | 0.377170i | ||||
\(627\) | −11.9488 | − | 29.5810i | −0.477187 | − | 1.18135i | ||||
\(628\) | 0.894261 | + | 1.54890i | 0.0356849 | + | 0.0618080i | ||||
\(629\) | 49.7988 | 1.98561 | ||||||||
\(630\) | −22.2396 | + | 22.6044i | −0.886046 | + | 0.900581i | ||||
\(631\) | 14.2718 | 0.568152 | 0.284076 | − | 0.958802i | \(-0.408313\pi\) | ||||
0.284076 | + | 0.958802i | \(0.408313\pi\) | |||||||
\(632\) | 28.1757 | − | 16.2672i | 1.12077 | − | 0.647075i | ||||
\(633\) | 18.7444 | − | 7.85365i | 0.745022 | − | 0.312155i | ||||
\(634\) | −12.0721 | − | 6.96983i | −0.479445 | − | 0.276807i | ||||
\(635\) | 18.3449 | − | 31.7743i | 0.727995 | − | 1.26092i | ||||
\(636\) | −1.71027 | + | 0.716581i | −0.0678166 | + | 0.0284143i | ||||
\(637\) | −7.63044 | + | 4.40544i | −0.302329 | + | 0.174550i | ||||
\(638\) | −10.3575 | + | 5.80341i | −0.410057 | + | 0.229759i | ||||
\(639\) | 3.93789 | − | 1.08956i | 0.155781 | − | 0.0431025i | ||||
\(640\) | − | 11.9689i | − | 0.473113i | ||||||
\(641\) | 23.8511 | − | 13.7704i | 0.942062 | − | 0.543900i | 0.0514559 | − | 0.998675i | \(-0.483614\pi\) |
0.890606 | + | 0.454776i | \(0.150281\pi\) | |||||||
\(642\) | 16.7654 | + | 2.13787i | 0.661679 | + | 0.0843751i | ||||
\(643\) | −20.3147 | + | 35.1861i | −0.801133 | + | 1.38760i | 0.117738 | + | 0.993045i | \(0.462436\pi\) |
−0.918871 | + | 0.394558i | \(0.870898\pi\) | |||||||
\(644\) | −2.52983 | + | 4.38179i | −0.0996892 | + | 0.172667i | ||||
\(645\) | −4.89830 | + | 6.43764i | −0.192871 | + | 0.253482i | ||||
\(646\) | −25.2974 | + | 14.6054i | −0.995311 | + | 0.574643i | ||||
\(647\) | 37.7946i | 1.48586i | 0.669371 | + | 0.742929i | \(0.266564\pi\) | ||||
−0.669371 | + | 0.742929i | \(0.733436\pi\) | |||||||
\(648\) | 23.5850 | − | 14.1334i | 0.926508 | − | 0.555211i | ||||
\(649\) | 10.8566 | + | 19.3760i | 0.426158 | + | 0.760575i | ||||
\(650\) | 0.701662 | − | 0.405105i | 0.0275215 | − | 0.0158895i | ||||
\(651\) | −27.4946 | − | 20.9202i | −1.07760 | − | 0.819927i | ||||
\(652\) | 1.36182 | − | 2.35875i | 0.0533332 | − | 0.0923758i | ||||
\(653\) | −33.5277 | − | 19.3573i | −1.31204 | − | 0.757508i | −0.329608 | − | 0.944118i | \(-0.606917\pi\) |
−0.982434 | + | 0.186610i | \(0.940250\pi\) | |||||||
\(654\) | 0.146947 | − | 1.15237i | 0.00574608 | − | 0.0450614i | ||||
\(655\) | 14.7336 | − | 8.50646i | 0.575690 | − | 0.332375i | ||||
\(656\) | 16.0526 | 0.626750 | ||||||||
\(657\) | 32.3199 | − | 8.94252i | 1.26092 | − | 0.348881i | ||||
\(658\) | 8.54066 | 0.332950 | ||||||||
\(659\) | 15.8461 | + | 27.4462i | 0.617275 | + | 1.06915i | 0.989981 | + | 0.141202i | \(0.0450967\pi\) |
−0.372706 | + | 0.927949i | \(0.621570\pi\) | |||||||
\(660\) | −3.41872 | + | 4.37503i | −0.133073 | + | 0.170298i | ||||
\(661\) | 13.4387 | − | 23.2766i | 0.522706 | − | 0.905353i | −0.476945 | − | 0.878933i | \(-0.658256\pi\) |
0.999651 | − | 0.0264199i | \(-0.00841069\pi\) | |||||||
\(662\) | −19.2521 | + | 33.3457i | −0.748255 | + | 1.29602i | ||||
\(663\) | −5.86017 | + | 2.45533i | −0.227590 | + | 0.0953572i | ||||
\(664\) | 9.47952 | + | 16.4190i | 0.367877 | + | 0.637181i | ||||
\(665\) | 47.4481i | 1.83996i | ||||||||
\(666\) | 30.4912 | − | 30.9914i | 1.18151 | − | 1.20089i | ||||
\(667\) | 7.51865i | 0.291123i | ||||||||
\(668\) | 1.31633 | + | 2.27995i | 0.0509303 | + | 0.0882138i | ||||
\(669\) | 7.95283 | + | 1.01412i | 0.307474 | + | 0.0392081i | ||||
\(670\) | 4.79902 | + | 2.77071i | 0.185402 | + | 0.107042i | ||||
\(671\) | 22.1675 | + | 0.285408i | 0.855767 | + | 0.0110181i | ||||
\(672\) | −14.8405 | − | 11.2919i | −0.572485 | − | 0.435595i | ||||
\(673\) | −14.7738 | + | 8.52968i | −0.569490 | + | 0.328795i | −0.756946 | − | 0.653478i | \(-0.773309\pi\) |
0.187456 | + | 0.982273i | \(0.439976\pi\) | |||||||
\(674\) | 43.9494i | 1.69287i | ||||||||
\(675\) | −0.562420 | − | 3.90333i | −0.0216475 | − | 0.150239i | ||||
\(676\) | −5.75192 | −0.221228 | ||||||||
\(677\) | −1.45562 | − | 2.52120i | −0.0559439 | − | 0.0968978i | 0.836697 | − | 0.547666i | \(-0.184483\pi\) |
−0.892641 | + | 0.450768i | \(0.851150\pi\) | |||||||
\(678\) | −10.6521 | − | 8.10500i | −0.409091 | − | 0.311271i | ||||
\(679\) | 37.9039 | + | 21.8838i | 1.45462 | + | 0.839824i | ||||
\(680\) | 23.1641 | + | 13.3738i | 0.888303 | + | 0.512862i | ||||
\(681\) | −39.0661 | − | 4.98159i | −1.49702 | − | 0.190895i | ||||
\(682\) | 16.9572 | + | 10.0835i | 0.649326 | + | 0.386119i | ||||
\(683\) | 20.5133i | 0.784918i | 0.919770 | + | 0.392459i | \(0.128375\pi\) | ||||
−0.919770 | + | 0.392459i | \(0.871625\pi\) | |||||||
\(684\) | 1.96233 | − | 7.56930i | 0.0750317 | − | 0.289419i | ||||
\(685\) | 17.4080 | 0.665126 | ||||||||
\(686\) | −14.2740 | + | 8.24110i | −0.544984 | + | 0.314647i | ||||
\(687\) | −2.40134 | − | 5.73130i | −0.0916168 | − | 0.218663i | ||||
\(688\) | 5.57986 | + | 3.22154i | 0.212730 | + | 0.122820i | ||||
\(689\) | 0.984132 | − | 1.70457i | 0.0374925 | − | 0.0649388i | ||||
\(690\) | −4.43149 | − | 10.5767i | −0.168704 | − | 0.402647i | ||||
\(691\) | −4.32135 | − | 7.48480i | −0.164392 | − | 0.284735i | 0.772047 | − | 0.635565i | \(-0.219233\pi\) |
−0.936439 | + | 0.350830i | \(0.885900\pi\) | |||||||
\(692\) | −9.83751 | −0.373966 | ||||||||
\(693\) | −10.4946 | − | 39.9221i | −0.398655 | − | 1.51652i | ||||
\(694\) | −12.7180 | −0.482770 | ||||||||
\(695\) | −8.35458 | − | 14.4706i | −0.316907 | − | 0.548900i | ||||
\(696\) | −15.1875 | − | 1.93666i | −0.575680 | − | 0.0734088i | ||||
\(697\) | −12.0106 | + | 20.8030i | −0.454934 | + | 0.787968i | ||||
\(698\) | −19.5035 | − | 11.2604i | −0.738220 | − | 0.426212i | ||||
\(699\) | 19.5890 | − | 25.7451i | 0.740925 | − | 0.973768i | ||||
\(700\) | −1.27978 | + | 0.738881i | −0.0483711 | + | 0.0279271i | ||||
\(701\) | −30.3341 | −1.14570 | −0.572852 | − | 0.819659i | \(-0.694163\pi\) | ||||
−0.572852 | + | 0.819659i | \(0.694163\pi\) | |||||||
\(702\) | −2.06008 | + | 5.15034i | −0.0777527 | + | 0.194387i | ||||
\(703\) | − | 65.0530i | − | 2.45352i | ||||||
\(704\) | 25.3508 | + | 15.0747i | 0.955445 | + | 0.568151i | ||||
\(705\) | 3.59400 | − | 4.72345i | 0.135358 | − | 0.177895i | ||||
\(706\) | 6.80463 | + | 3.92866i | 0.256096 | + | 0.147857i | ||||
\(707\) | 3.71725 | + | 2.14615i | 0.139802 | + | 0.0807144i | ||||
\(708\) | −0.688597 | + | 5.40005i | −0.0258790 | + | 0.202946i | ||||
\(709\) | −0.842981 | − | 1.46009i | −0.0316588 | − | 0.0548347i | 0.849762 | − | 0.527167i | \(-0.176746\pi\) |
−0.881421 | + | 0.472332i | \(0.843412\pi\) | |||||||
\(710\) | 3.47006 | 0.130229 | ||||||||
\(711\) | 22.7737 | + | 22.4062i | 0.854081 | + | 0.840297i | ||||
\(712\) | 22.7501i | 0.852597i | ||||||||
\(713\) | 10.8200 | − | 6.24693i | 0.405212 | − | 0.233949i | ||||
\(714\) | −34.8589 | + | 14.6054i | −1.30456 | + | 0.546595i | ||||
\(715\) | 0.0758731 | − | 5.89303i | 0.00283749 | − | 0.220387i | ||||
\(716\) | 5.53939 | + | 3.19817i | 0.207017 | + | 0.119521i | ||||
\(717\) | −14.0843 | − | 33.6150i | −0.525987 | − | 1.25538i | ||||
\(718\) | −0.543677 | − | 0.941677i | −0.0202899 | − | 0.0351431i | ||||
\(719\) | − | 17.8522i | − | 0.665775i | −0.942967 | − | 0.332887i | \(-0.891977\pi\) | ||
0.942967 | − | 0.332887i | \(-0.108023\pi\) | |||||||
\(720\) | 16.9168 | − | 4.68068i | 0.630453 | − | 0.174438i | ||||
\(721\) | − | 32.4589i | − | 1.20883i | ||||||
\(722\) | 7.32591 | + | 12.6888i | 0.272642 | + | 0.472230i | ||||
\(723\) | −0.223020 | + | 1.74895i | −0.00829421 | + | 0.0650441i | ||||
\(724\) | 1.60613 | − | 2.78190i | 0.0596914 | − | 0.103388i | ||||
\(725\) | −1.09798 | + | 1.90175i | −0.0407778 | + | 0.0706293i | ||||
\(726\) | 8.54630 | + | 21.9680i | 0.317183 | + | 0.815308i | ||||
\(727\) | −13.8248 | − | 23.9453i | −0.512734 | − | 0.888081i | −0.999891 | − | 0.0147668i | \(-0.995299\pi\) |
0.487157 | − | 0.873314i | \(-0.338034\pi\) | |||||||
\(728\) | 10.9362 | 0.405324 | ||||||||
\(729\) | 19.5521 | + | 18.6203i | 0.724151 | + | 0.689641i | ||||
\(730\) | 28.4803 | 1.05410 | ||||||||
\(731\) | −8.34972 | + | 4.82072i | −0.308826 | + | 0.178301i | ||||
\(732\) | 4.32431 | + | 3.29030i | 0.159831 | + | 0.121613i | ||||
\(733\) | 11.6445 | + | 6.72297i | 0.430100 | + | 0.248318i | 0.699389 | − | 0.714741i | \(-0.253455\pi\) |
−0.269289 | + | 0.963059i | \(0.586789\pi\) | |||||||
\(734\) | 5.66573 | − | 9.81332i | 0.209126 | − | 0.362216i | ||||
\(735\) | −4.60722 | + | 36.1303i | −0.169940 | + | 1.33269i | ||||
\(736\) | 5.84022 | − | 3.37185i | 0.215273 | − | 0.124288i | ||||
\(737\) | −6.29292 | + | 3.52599i | −0.231803 | + | 0.129881i | ||||
\(738\) | 5.59241 | + | 20.2120i | 0.205859 | + | 0.744014i | ||||
\(739\) | 2.47408i | 0.0910107i | 0.998964 | + | 0.0455053i | \(0.0144898\pi\) | ||||
−0.998964 | + | 0.0455053i | \(0.985510\pi\) | |||||||
\(740\) | −9.80485 | + | 5.66083i | −0.360433 | + | 0.208096i | ||||
\(741\) | 3.20744 | + | 7.65523i | 0.117828 | + | 0.281222i | ||||
\(742\) | 5.85407 | − | 10.1395i | 0.214910 | − | 0.372234i | ||||
\(743\) | −4.53380 | + | 7.85278i | −0.166329 | + | 0.288090i | −0.937126 | − | 0.348990i | \(-0.886525\pi\) |
0.770797 | + | 0.637080i | \(0.219858\pi\) | |||||||
\(744\) | 9.83161 | + | 23.4652i | 0.360444 | + | 0.860276i | ||||
\(745\) | −17.9028 | + | 10.3362i | −0.655907 | + | 0.378688i | ||||
\(746\) | − | 13.0524i | − | 0.477884i | ||||||
\(747\) | −13.0569 | + | 13.2711i | −0.477727 | + | 0.485564i | ||||
\(748\) | −5.77322 | + | 3.23480i | −0.211090 | + | 0.118276i | ||||
\(749\) | 28.3369 | − | 16.3603i | 1.03541 | − | 0.597794i | ||||
\(750\) | 3.21474 | − | 25.2103i | 0.117386 | − | 0.920551i | ||||
\(751\) | 6.98349 | − | 12.0958i | 0.254831 | − | 0.441381i | −0.710018 | − | 0.704183i | \(-0.751313\pi\) |
0.964850 | + | 0.262802i | \(0.0846467\pi\) | |||||||
\(752\) | −4.09408 | − | 2.36372i | −0.149296 | − | 0.0861958i | ||||
\(753\) | −38.4486 | − | 29.2549i | −1.40114 | − | 1.06611i | ||||
\(754\) | 2.67497 | − | 1.54440i | 0.0974168 | − | 0.0562436i | ||||
\(755\) | 23.4758 | 0.854373 | ||||||||
\(756\) | 3.75743 | − | 9.39384i | 0.136656 | − | 0.341651i | ||||
\(757\) | −7.49099 | −0.272265 | −0.136132 | − | 0.990691i | \(-0.543467\pi\) | ||||
−0.136132 | + | 0.990691i | \(0.543467\pi\) | |||||||
\(758\) | −9.41926 | − | 16.3146i | −0.342123 | − | 0.592574i | ||||
\(759\) | 14.7821 | + | 2.07870i | 0.536558 | + | 0.0754521i | ||||
\(760\) | 17.4704 | − | 30.2596i | 0.633718 | − | 1.09763i | ||||
\(761\) | 8.01546 | − | 13.8832i | 0.290560 | − | 0.503265i | −0.683382 | − | 0.730061i | \(-0.739492\pi\) |
0.973942 | + | 0.226796i | \(0.0728250\pi\) | |||||||
\(762\) | 4.82919 | − | 37.8710i | 0.174943 | − | 1.37192i | ||||
\(763\) | −1.12453 | − | 1.94774i | −0.0407107 | − | 0.0705130i | ||||
\(764\) | − | 11.2159i | − | 0.405776i | ||||||
\(765\) | −6.59140 | + | 25.4250i | −0.238313 | + | 0.919243i | ||||
\(766\) | − | 33.8581i | − | 1.22334i | ||||||
\(767\) | −2.88914 | − | 5.00414i | −0.104321 | − | 0.180689i | ||||
\(768\) | 7.09170 | + | 16.9258i | 0.255900 | + | 0.610758i | ||||
\(769\) | 7.49374 | + | 4.32651i | 0.270231 | + | 0.156018i | 0.628993 | − | 0.777411i | \(-0.283468\pi\) |
−0.358762 | + | 0.933429i | \(0.616801\pi\) | |||||||
\(770\) | 0.451328 | − | 35.0544i | 0.0162647 | − | 1.26327i | ||||
\(771\) | −43.0315 | + | 18.0296i | −1.54974 | + | 0.649322i | ||||
\(772\) | 6.15502 | − | 3.55360i | 0.221524 | − | 0.127897i | ||||
\(773\) | − | 9.20292i | − | 0.331006i | −0.986209 | − | 0.165503i | \(-0.947075\pi\) | ||
0.986209 | − | 0.165503i | \(-0.0529248\pi\) | |||||||
\(774\) | −2.11235 | + | 8.14798i | −0.0759270 | + | 0.292873i | ||||
\(775\) | 3.64905 | 0.131078 | ||||||||
\(776\) | −16.1153 | − | 27.9125i | −0.578504 | − | 1.00200i | ||||
\(777\) | 10.6469 | − | 83.4939i | 0.381954 | − | 2.99533i | ||||
\(778\) | 13.2740 | + | 7.66374i | 0.475895 | + | 0.274758i | ||||
\(779\) | 27.1752 | + | 15.6896i | 0.973654 | + | 0.562139i | ||||
\(780\) | 0.874696 | − | 1.14958i | 0.0313191 | − | 0.0411615i | ||||
\(781\) | −2.30871 | + | 3.88250i | −0.0826122 | + | 0.138927i | ||||
\(782\) | − | 13.6679i | − | 0.488762i | ||||||
\(783\) | −2.14414 | − | 14.8808i | −0.0766251 | − | 0.531797i | ||||
\(784\) | 29.0106 | 1.03609 | ||||||||
\(785\) | −6.79639 | + | 3.92390i | −0.242574 | + | 0.140050i | ||||
\(786\) | 10.7196 | − | 14.0883i | 0.382355 | − | 0.502514i | ||||
\(787\) | 34.9642 | + | 20.1866i | 1.24634 | + | 0.719575i | 0.970378 | − | 0.241593i | \(-0.0776699\pi\) |
0.275963 | + | 0.961168i | \(0.411003\pi\) | |||||||
\(788\) | 1.34837 | − | 2.33545i | 0.0480338 | − | 0.0831970i | ||||
\(789\) | −31.1029 | − | 3.96614i | −1.10729 | − | 0.141198i | ||||
\(790\) | 13.5666 | + | 23.4980i | 0.482677 | + | 0.836020i | ||||
\(791\) | −25.9133 | −0.921371 | ||||||||
\(792\) | −8.00652 | + | 29.3241i | −0.284499 | + | 1.04199i | ||||
\(793\) | −5.76764 | −0.204815 | ||||||||
\(794\) | −7.64059 | − | 13.2339i | −0.271154 | − | 0.469653i | ||||
\(795\) | −3.14426 | − | 7.50444i | −0.111516 | − | 0.266155i | ||||
\(796\) | 1.03918 | − | 1.79991i | 0.0368328 | − | 0.0637962i | ||||
\(797\) | −0.574131 | − | 0.331475i | −0.0203368 | − | 0.0117414i | 0.489797 | − | 0.871836i | \(-0.337071\pi\) |
−0.510134 | + | 0.860095i | \(0.670404\pi\) | |||||||
\(798\) | 19.0793 | + | 45.5368i | 0.675400 | + | 1.61198i | ||||
\(799\) | 6.12639 | − | 3.53707i | 0.216736 | − | 0.125133i | ||||
\(800\) | 1.96962 | 0.0696365 | ||||||||
\(801\) | −21.5311 | + | 5.95739i | −0.760765 | + | 0.210494i | ||||
\(802\) | − | 0.718241i | − | 0.0253620i | ||||||
\(803\) | −18.9486 | + | 31.8653i | −0.668680 | + | 1.12450i | ||||
\(804\) | −1.75382 | − | 0.223642i | −0.0618526 | − | 0.00788724i | ||||
\(805\) | −19.2267 | − | 11.1006i | −0.677653 | − | 0.391243i | ||||
\(806\) | −4.44505 | − | 2.56635i | −0.156570 | − | 0.0903958i | ||||
\(807\) | −16.8528 | − | 12.8231i | −0.593247 | − | 0.451393i | ||||
\(808\) | −1.58043 | − | 2.73739i | −0.0555993 | − | 0.0963009i | ||||
\(809\) | −52.6473 | −1.85098 | −0.925490 | − | 0.378772i | \(-0.876347\pi\) | ||||
−0.925490 | + | 0.378772i | \(0.876347\pi\) | |||||||
\(810\) | 11.7870 | + | 19.6695i | 0.414152 | + | 0.691115i | ||||
\(811\) | − | 23.1946i | − | 0.814474i | −0.913323 | − | 0.407237i | \(-0.866492\pi\) | ||
0.913323 | − | 0.407237i | \(-0.133508\pi\) | |||||||
\(812\) | −4.87895 | + | 2.81687i | −0.171218 | + | 0.0988526i | ||||
\(813\) | 20.6507 | + | 15.7128i | 0.724252 | + | 0.551072i | ||||
\(814\) | −0.618786 | + | 48.0608i | −0.0216884 | + | 1.68453i | ||||
\(815\) | 10.3499 | + | 5.97551i | 0.362540 | + | 0.209313i | ||||
\(816\) | 20.7523 | + | 2.64626i | 0.726475 | + | 0.0926377i | ||||
\(817\) | 6.29738 | + | 10.9074i | 0.220317 | + | 0.381601i | ||||
\(818\) | 10.6213i | 0.371366i | ||||||||
\(819\) | 2.86378 | + | 10.3502i | 0.100069 | + | 0.361667i | ||||
\(820\) | − | 5.46117i | − | 0.190712i | ||||||
\(821\) | 4.61093 | + | 7.98637i | 0.160923 | + | 0.278726i | 0.935200 | − | 0.354120i | \(-0.115220\pi\) |
−0.774277 | + | 0.632847i | \(0.781886\pi\) | |||||||
\(822\) | 16.7068 | − | 6.99992i | 0.582716 | − | 0.244150i | ||||
\(823\) | −2.85199 | + | 4.93978i | −0.0994140 | + | 0.172190i | −0.911442 | − | 0.411428i | \(-0.865030\pi\) |
0.812028 | + | 0.583618i | \(0.198363\pi\) | |||||||
\(824\) | −11.9514 | + | 20.7004i | −0.416346 | + | 0.721132i | ||||
\(825\) | 3.43540 | + | 2.68447i | 0.119605 | + | 0.0934614i | ||||
\(826\) | −17.1859 | − | 29.7669i | −0.597974 | − | 1.03572i | ||||
\(827\) | 35.5680 | 1.23682 | 0.618411 | − | 0.785855i | \(-0.287777\pi\) | ||||
0.618411 | + | 0.785855i | \(0.287777\pi\) | |||||||
\(828\) | 2.60811 | + | 2.56602i | 0.0906381 | + | 0.0891753i | ||||
\(829\) | −9.38140 | −0.325830 | −0.162915 | − | 0.986640i | \(-0.552090\pi\) | ||||
−0.162915 | + | 0.986640i | \(0.552090\pi\) | |||||||
\(830\) | −13.6931 | + | 7.90574i | −0.475296 | + | 0.274412i | ||||
\(831\) | −6.50599 | + | 51.0207i | −0.225690 | + | 1.76989i | ||||
\(832\) | −6.64528 | − | 3.83666i | −0.230384 | − | 0.133012i | ||||
\(833\) | −21.7058 | + | 37.5955i | −0.752061 | + | 1.30261i | ||||
\(834\) | −13.8368 | − | 10.5282i | −0.479129 | − | 0.364562i | ||||
\(835\) | −10.0041 | + | 5.77587i | −0.346206 | + | 0.199882i | ||||
\(836\) | 4.22567 | + | 7.54165i | 0.146148 | + | 0.260834i | ||||
\(837\) | −19.6334 | + | 15.4495i | −0.678628 | + | 0.534011i | ||||
\(838\) | 4.12324i | 0.142435i | ||||||||
\(839\) | 30.1200 | − | 17.3898i | 1.03986 | − | 0.600363i | 0.120066 | − | 0.992766i | \(-0.461689\pi\) |
0.919793 | + | 0.392403i | \(0.128356\pi\) | |||||||
\(840\) | 27.3753 | − | 35.9782i | 0.944536 | − | 1.24137i | ||||
\(841\) | 10.3141 | − | 17.8646i | 0.355660 | − | 0.616021i | ||||
\(842\) | 1.00355 | − | 1.73820i | 0.0345847 | − | 0.0599024i | ||||
\(843\) | −4.49284 | − | 0.572912i | −0.154742 | − | 0.0197321i | ||||
\(844\) | −4.76919 | + | 2.75349i | −0.164162 | + | 0.0947791i | ||||
\(845\) | − | 25.2387i | − | 0.868236i | ||||||
\(846\) | 1.54988 | − | 5.97836i | 0.0532861 | − | 0.205540i | ||||
\(847\) | 38.9205 | + | 23.8275i | 1.33733 | + | 0.818721i | ||||
\(848\) | −5.61244 | + | 3.24035i | −0.192732 | + | 0.111274i | ||||
\(849\) | 3.33683 | − | 1.39809i | 0.114520 | − | 0.0479822i | ||||
\(850\) | 1.99597 | − | 3.45712i | 0.0684612 | − | 0.118578i | ||||
\(851\) | 26.3605 | + | 15.2192i | 0.903626 | + | 0.521709i | ||||
\(852\) | −1.02114 | + | 0.427843i | −0.0349835 | + | 0.0146577i | ||||
\(853\) | 5.85013 | − | 3.37757i | 0.200305 | − | 0.115646i | −0.396493 | − | 0.918038i | \(-0.629773\pi\) |
0.596798 | + | 0.802392i | \(0.296440\pi\) | |||||||
\(854\) | −34.3085 | −1.17401 | ||||||||
\(855\) | 33.2131 | + | 8.61045i | 1.13586 | + | 0.294471i | ||||
\(856\) | −24.0955 | −0.823569 | ||||||||
\(857\) | −5.87551 | − | 10.1767i | −0.200704 | − | 0.347629i | 0.748052 | − | 0.663640i | \(-0.230989\pi\) |
−0.948755 | + | 0.316012i | \(0.897656\pi\) | |||||||
\(858\) | −2.29682 | − | 5.68615i | −0.0784123 | − | 0.194122i | ||||
\(859\) | −26.5699 | + | 46.0204i | −0.906552 | + | 1.57019i | −0.0877320 | + | 0.996144i | \(0.527962\pi\) |
−0.818820 | + | 0.574050i | \(0.805371\pi\) | |||||||
\(860\) | 1.09598 | − | 1.89829i | 0.0373726 | − | 0.0647313i | ||||
\(861\) | 32.3109 | + | 24.5849i | 1.10115 | + | 0.837850i | ||||
\(862\) | 21.0440 | + | 36.4493i | 0.716762 | + | 1.24147i | ||||
\(863\) | − | 46.1145i | − | 1.56976i | −0.619651 | − | 0.784878i | \(-0.712726\pi\) | ||
0.619651 | − | 0.784878i | \(-0.287274\pi\) | |||||||
\(864\) | −10.5973 | + | 8.33902i | −0.360528 | + | 0.283699i | ||||
\(865\) | − | 43.1657i | − | 1.46768i | ||||||
\(866\) | 17.6962 | + | 30.6508i | 0.601342 | + | 1.04156i | ||||
\(867\) | −1.12651 | + | 1.48053i | −0.0382583 | + | 0.0502813i | ||||
\(868\) | 8.10743 | + | 4.68083i | 0.275184 | + | 0.158878i | ||||
\(869\) | −35.3170 | − | 0.454708i | −1.19805 | − | 0.0154249i | ||||
\(870\) | 1.61514 | − | 12.6661i | 0.0547582 | − | 0.429420i | ||||
\(871\) | 1.62524 | − | 0.938332i | 0.0550691 | − | 0.0317942i | ||||
\(872\) | 1.65621i | 0.0560863i | ||||||||
\(873\) | 22.1969 | − | 22.5610i | 0.751250 | − | 0.763573i | ||||
\(874\) | −17.8545 | −0.603939 | ||||||||
\(875\) | −24.6012 | − | 42.6105i | −0.831672 | − | 1.44050i | ||||
\(876\) | −8.38090 | + | 3.51149i | −0.283164 | + | 0.118642i | ||||
\(877\) | −40.8587 | − | 23.5898i | −1.37970 | − | 0.796570i | −0.387577 | − | 0.921837i | \(-0.626688\pi\) |
−0.992123 | + | 0.125267i | \(0.960021\pi\) | |||||||
\(878\) | 12.8820 | + | 7.43745i | 0.434748 | + | 0.251002i | ||||
\(879\) | 20.1746 | + | 48.1509i | 0.680473 | + | 1.62409i | ||||
\(880\) | −9.91802 | + | 16.6789i | −0.334336 | + | 0.562245i | ||||
\(881\) | − | 17.0910i | − | 0.575812i | −0.957659 | − | 0.287906i | \(-0.907041\pi\) | ||
0.957659 | − | 0.287906i | \(-0.0929590\pi\) | |||||||
\(882\) | 10.1067 | + | 36.5275i | 0.340311 | + | 1.22995i | ||||
\(883\) | 9.98172 | 0.335912 | 0.167956 | − | 0.985795i | \(-0.446283\pi\) | ||||
0.167956 | + | 0.985795i | \(0.446283\pi\) | |||||||
\(884\) | 1.49102 | − | 0.860841i | 0.0501484 | − | 0.0289532i | ||||
\(885\) | −23.6947 | − | 3.02147i | −0.796489 | − | 0.101566i | ||||
\(886\) | −27.4923 | − | 15.8727i | −0.923621 | − | 0.533253i | ||||
\(887\) | −9.31066 | + | 16.1265i | −0.312621 | + | 0.541476i | −0.978929 | − | 0.204201i | \(-0.934540\pi\) |
0.666308 | + | 0.745677i | \(0.267874\pi\) | |||||||
\(888\) | −37.5324 | + | 49.3274i | −1.25951 | + | 1.65532i | ||||
\(889\) | −36.9560 | − | 64.0096i | −1.23946 | − | 2.14681i | ||||
\(890\) | −18.9732 | −0.635983 | ||||||||
\(891\) | −29.8495 | + | 0.101358i | −0.999994 | + | 0.00339562i | ||||
\(892\) | −2.17243 | −0.0727385 | ||||||||
\(893\) | −4.62053 | − | 8.00300i | −0.154620 | − | 0.267810i | ||||
\(894\) | −13.0254 | + | 17.1187i | −0.435633 | + | 0.572535i | ||||
\(895\) | −14.0331 | + | 24.3061i | −0.469076 | + | 0.812463i | ||||
\(896\) | −20.8812 | − | 12.0557i | −0.697591 | − | 0.402754i | ||||
\(897\) | −3.85241 | − | 0.491246i | −0.128628 | − | 0.0164022i | ||||
\(898\) | −20.7875 | + | 12.0017i | −0.693689 | + | 0.400502i | ||||
\(899\) | 13.9114 | 0.463972 | ||||||||
\(900\) | 0.284965 | + | 1.02992i | 0.00949883 | + | 0.0343305i | ||||
\(901\) | − | 9.69773i | − | 0.323078i | ||||||
\(902\) | −19.9277 | − | 11.8499i | −0.663520 | − | 0.394559i | ||||
\(903\) | 6.29738 | + | 15.0300i | 0.209564 | + | 0.500167i | ||||
\(904\) | 16.5260 | + | 9.54130i | 0.549647 | + | 0.317339i | ||||
\(905\) | 12.2066 | + | 7.04749i | 0.405761 | + | 0.234266i | ||||
\(906\) | 22.5302 | − | 9.43985i | 0.748515 | − | 0.313618i | ||||
\(907\) | 18.9894 | + | 32.8906i | 0.630532 | + | 1.09211i | 0.987443 | + | 0.157975i | \(0.0504966\pi\) |
−0.356911 | + | 0.934138i | \(0.616170\pi\) | |||||||
\(908\) | 10.6715 | 0.354146 | ||||||||
\(909\) | 2.17686 | − | 2.21256i | 0.0722017 | − | 0.0733861i | ||||
\(910\) | 9.12061i | 0.302345i | ||||||||
\(911\) | 13.6814 | − | 7.89896i | 0.453285 | − | 0.261704i | −0.255931 | − | 0.966695i | \(-0.582382\pi\) |
0.709217 | + | 0.704991i | \(0.249049\pi\) | |||||||
\(912\) | 3.45685 | − | 27.1090i | 0.114468 | − | 0.897670i | ||||
\(913\) | 0.264975 | − | 20.5805i | 0.00876941 | − | 0.681116i | ||||
\(914\) | −13.1123 | − | 7.57039i | −0.433716 | − | 0.250406i | ||||
\(915\) | −14.4374 | + | 18.9745i | −0.477286 | + | 0.627277i | ||||
\(916\) | 0.841911 | + | 1.45823i | 0.0278175 | + | 0.0481813i | ||||
\(917\) | − | 34.2727i | − | 1.13178i | ||||||
\(918\) | 3.89774 | + | 27.0513i | 0.128645 | + | 0.892826i | ||||
\(919\) | − | 45.4869i | − | 1.50047i | −0.661169 | − | 0.750237i | \(-0.729939\pi\) | ||
0.661169 | − | 0.750237i | \(-0.270061\pi\) | |||||||
\(920\) | 8.17446 | + | 14.1586i | 0.269504 | + | 0.466794i | ||||
\(921\) | −24.6401 | − | 18.7483i | −0.811918 | − | 0.617776i | ||||
\(922\) | −20.2978 | + | 35.1569i | −0.668474 | + | 1.15783i | ||||
\(923\) | 0.587587 | − | 1.01773i | 0.0193407 | − | 0.0334990i | ||||
\(924\) | 4.18924 | + | 10.3711i | 0.137816 | + | 0.341185i | ||||
\(925\) | 4.44505 | + | 7.69905i | 0.146152 | + | 0.253143i | ||||
\(926\) | −6.23734 | −0.204972 | ||||||||
\(927\) | −22.7208 | − | 5.89035i | −0.746250 | − | 0.193464i | ||||
\(928\) | 7.50885 | 0.246490 | ||||||||
\(929\) | −46.6177 | + | 26.9147i | −1.52948 | + | 0.883044i | −0.530093 | + | 0.847940i | \(0.677843\pi\) |
−0.999384 | + | 0.0351041i | \(0.988824\pi\) | |||||||
\(930\) | −19.5695 | + | 8.19938i | −0.641711 | + | 0.268868i | ||||
\(931\) | 49.1116 | + | 28.3546i | 1.60957 | + | 0.929285i | ||||
\(932\) | −4.38298 | + | 7.59155i | −0.143569 | + | 0.248670i | ||||
\(933\) | 43.4441 | − | 18.2025i | 1.42230 | − | 0.595924i | ||||
\(934\) | 9.85847 | − | 5.69179i | 0.322579 | − | 0.186241i | ||||
\(935\) | −14.1939 | − | 25.3321i | −0.464189 | − | 0.828450i | ||||
\(936\) | 1.98461 | − | 7.65523i | 0.0648690 | − | 0.250219i | ||||
\(937\) | 12.3751i | 0.404276i | 0.979357 | + | 0.202138i | \(0.0647890\pi\) | ||||
−0.979357 | + | 0.202138i | \(0.935211\pi\) | |||||||
\(938\) | 9.66766 | − | 5.58163i | 0.315660 | − | 0.182247i | ||||
\(939\) | 15.1326 | + | 1.92965i | 0.493832 | + | 0.0629718i | ||||
\(940\) | −0.804146 | + | 1.39282i | −0.0262284 | + | 0.0454289i | ||||
\(941\) | −14.1440 | + | 24.4982i | −0.461082 | + | 0.798618i | −0.999015 | − | 0.0443696i | \(-0.985872\pi\) |
0.537933 | + | 0.842988i | \(0.319205\pi\) | |||||||
\(942\) | −4.94478 | + | 6.49873i | −0.161110 | + | 0.211740i | ||||
\(943\) | −12.7154 | + | 7.34123i | −0.414070 | + | 0.239063i | ||||
\(944\) | 19.0255i | 0.619228i | ||||||||
\(945\) | 41.2189 | + | 16.4871i | 1.34085 | + | 0.536326i | ||||
\(946\) | −4.54872 | − | 8.11822i | −0.147892 | − | 0.263946i | ||||
\(947\) | −12.5955 | + | 7.27199i | −0.409297 | + | 0.236308i | −0.690488 | − | 0.723344i | \(-0.742604\pi\) |
0.281190 | + | 0.959652i | \(0.409271\pi\) | |||||||
\(948\) | −6.88943 | − | 5.24206i | −0.223758 | − | 0.170254i | ||||
\(949\) | 4.82258 | − | 8.35295i | 0.156547 | − | 0.271148i | ||||
\(950\) | −4.51609 | − | 2.60737i | −0.146521 | − | 0.0845942i | ||||
\(951\) | −2.46852 | + | 19.3584i | −0.0800474 | + | 0.627740i | ||||
\(952\) | 46.6643 | − | 26.9416i | 1.51240 | − | 0.873184i | ||||
\(953\) | −7.80664 | −0.252882 | −0.126441 | − | 0.991974i | \(-0.540355\pi\) | ||||
−0.126441 | + | 0.991974i | \(0.540355\pi\) | |||||||
\(954\) | −6.03521 | − | 5.93781i | −0.195397 | − | 0.192244i | ||||
\(955\) | 49.2138 | 1.59252 | ||||||||
\(956\) | 4.93795 | + | 8.55278i | 0.159705 | + | 0.276617i | ||||
\(957\) | 13.0969 | + | 10.2341i | 0.423363 | + | 0.330822i | ||||
\(958\) | 8.63948 | − | 14.9640i | 0.279129 | − | 0.483465i | ||||
\(959\) | 17.5343 | − | 30.3703i | 0.566212 | − | 0.980708i | ||||
\(960\) | −29.2562 | + | 12.2580i | −0.944239 | + | 0.395624i | ||||
\(961\) | 3.94159 | + | 6.82703i | 0.127148 | + | 0.220227i | ||||
\(962\) | − | 12.5047i | − | 0.403167i | ||||||
\(963\) | −6.30971 | − | 22.8044i | −0.203327 | − | 0.734863i | ||||
\(964\) | − | 0.477751i | − | 0.0153873i | ||||||
\(965\) | 15.5927 | + | 27.0074i | 0.501948 | + | 0.869399i | ||||
\(966\) | −22.9159 | − | 2.92216i | −0.737306 | − | 0.0940188i | ||||
\(967\) | 3.52549 | + | 2.03544i | 0.113372 | + | 0.0654554i | 0.555614 | − | 0.831441i | \(-0.312483\pi\) |
−0.442242 | + | 0.896896i | \(0.645817\pi\) | |||||||
\(968\) | −16.0480 | − | 29.5263i | −0.515802 | − | 0.949012i | ||||
\(969\) | 32.5448 | + | 24.7628i | 1.04549 | + | 0.795497i | ||||
\(970\) | 23.2785 | − | 13.4398i | 0.747427 | − | 0.431527i | ||||
\(971\) | − | 23.6225i | − | 0.758084i | −0.925380 | − | 0.379042i | \(-0.876254\pi\) | ||
0.925380 | − | 0.379042i | \(-0.123746\pi\) | |||||||
\(972\) | −5.89371 | − | 4.33487i | −0.189041 | − | 0.139041i | ||||
\(973\) | −33.6608 | −1.07911 | ||||||||
\(974\) | 17.9074 | + | 31.0166i | 0.573791 | + | 0.993835i | ||||
\(975\) | −0.902681 | − | 0.686836i | −0.0289089 | − | 0.0219964i | ||||
\(976\) | 16.4462 | + | 9.49524i | 0.526431 | + | 0.303935i | ||||
\(977\) | −27.2616 | − | 15.7395i | −0.872175 | − | 0.503550i | −0.00410429 | − | 0.999992i | \(-0.501306\pi\) |
−0.868070 | + | 0.496441i | \(0.834640\pi\) | |||||||
\(978\) | 12.3358 | + | 1.57302i | 0.394455 | + | 0.0502995i | ||||
\(979\) | 12.6233 | − | 21.2283i | 0.403442 | − | 0.678458i | ||||
\(980\) | − | 9.86954i | − | 0.315271i | ||||||
\(981\) | −1.56747 | + | 0.433698i | −0.0500453 | + | 0.0138469i | ||||
\(982\) | 23.8523 | 0.761156 | ||||||||
\(983\) | 28.3373 | − | 16.3606i | 0.903821 | − | 0.521821i | 0.0253828 | − | 0.999678i | \(-0.491920\pi\) |
0.878438 | + | 0.477857i | \(0.158586\pi\) | |||||||
\(984\) | −11.5539 | − | 27.5757i | −0.368324 | − | 0.879081i | ||||
\(985\) | 10.2476 | + | 5.91648i | 0.326517 | + | 0.188515i | ||||
\(986\) | 7.60932 | − | 13.1797i | 0.242330 | − | 0.419728i | ||||
\(987\) | −4.62053 | − | 11.0279i | −0.147073 | − | 0.351021i | ||||
\(988\) | −1.12453 | − | 1.94774i | −0.0357761 | − | 0.0619660i | ||||
\(989\) | −5.89313 | −0.187390 | ||||||||
\(990\) | −24.4558 | − | 6.67729i | −0.777255 | − | 0.212218i | ||||
\(991\) | 34.5499 | 1.09751 | 0.548757 | − | 0.835982i | \(-0.315101\pi\) | ||||
0.548757 | + | 0.835982i | \(0.315101\pi\) | |||||||
\(992\) | −6.23879 | − | 10.8059i | −0.198082 | − | 0.343087i | ||||
\(993\) | 53.4720 | + | 6.81858i | 1.69688 | + | 0.216381i | ||||
\(994\) | 3.49524 | − | 6.05393i | 0.110862 | − | 0.192019i | ||||
\(995\) | 7.89778 | + | 4.55978i | 0.250376 | + | 0.144555i | ||||
\(996\) | 3.05475 | − | 4.01473i | 0.0967933 | − | 0.127212i | ||||
\(997\) | −22.3641 | + | 12.9119i | −0.708277 | + | 0.408924i | −0.810423 | − | 0.585846i | \(-0.800763\pi\) |
0.102146 | + | 0.994769i | \(0.467429\pi\) | |||||||
\(998\) | 41.8887 | 1.32596 | ||||||||
\(999\) | −56.5126 | − | 22.6044i | −1.78798 | − | 0.715171i |
(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 | 99.2.g.b.32.4 | ✓ | 16 | |
3.2 | odd | 2 | 297.2.g.b.98.5 | 16 | |||
9.2 | odd | 6 | inner | 99.2.g.b.65.5 | yes | 16 | |
9.4 | even | 3 | 891.2.d.b.890.9 | 16 | |||
9.5 | odd | 6 | 891.2.d.b.890.8 | 16 | |||
9.7 | even | 3 | 297.2.g.b.197.4 | 16 | |||
11.10 | odd | 2 | inner | 99.2.g.b.32.5 | yes | 16 | |
33.32 | even | 2 | 297.2.g.b.98.4 | 16 | |||
99.32 | even | 6 | 891.2.d.b.890.10 | 16 | |||
99.43 | odd | 6 | 297.2.g.b.197.5 | 16 | |||
99.65 | even | 6 | inner | 99.2.g.b.65.4 | yes | 16 | |
99.76 | odd | 6 | 891.2.d.b.890.7 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.g.b.32.4 | ✓ | 16 | 1.1 | even | 1 | trivial | |
99.2.g.b.32.5 | yes | 16 | 11.10 | odd | 2 | inner | |
99.2.g.b.65.4 | yes | 16 | 99.65 | even | 6 | inner | |
99.2.g.b.65.5 | yes | 16 | 9.2 | odd | 6 | inner | |
297.2.g.b.98.4 | 16 | 33.32 | even | 2 | |||
297.2.g.b.98.5 | 16 | 3.2 | odd | 2 | |||
297.2.g.b.197.4 | 16 | 9.7 | even | 3 | |||
297.2.g.b.197.5 | 16 | 99.43 | odd | 6 | |||
891.2.d.b.890.7 | 16 | 99.76 | odd | 6 | |||
891.2.d.b.890.8 | 16 | 9.5 | odd | 6 | |||
891.2.d.b.890.9 | 16 | 9.4 | even | 3 | |||
891.2.d.b.890.10 | 16 | 99.32 | even | 6 |