Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.19 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.19 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0182967 | + | 0.00490258i | −0.0129377 | + | 0.00346665i | −0.265282 | − | 0.964171i | \(-0.585465\pi\) |
0.252344 | + | 0.967637i | \(0.418798\pi\) | |||||||
\(3\) | −0.782329 | − | 1.54530i | −0.451678 | − | 0.892181i | ||||
\(4\) | −1.73174 | + | 0.999821i | −0.865870 | + | 0.499910i | ||||
\(5\) | 0.587591 | + | 2.15748i | 0.262779 | + | 0.964856i | ||||
\(6\) | 0.0218900 | + | 0.0244385i | 0.00893656 | + | 0.00997697i | ||||
\(7\) | 0.705053 | − | 2.55008i | 0.266485 | − | 0.963839i | ||||
\(8\) | 0.0535716 | − | 0.0535716i | 0.0189404 | − | 0.0189404i | ||||
\(9\) | −1.77592 | + | 2.41787i | −0.591974 | + | 0.805957i | ||||
\(10\) | −0.0213282 | − | 0.0365941i | −0.00674457 | − | 0.0115721i | ||||
\(11\) | 6.13272 | 1.84908 | 0.924542 | − | 0.381081i | \(-0.124448\pi\) | ||||
0.924542 | + | 0.381081i | \(0.124448\pi\) | |||||||
\(12\) | 2.89982 | + | 1.89387i | 0.837105 | + | 0.546714i | ||||
\(13\) | 2.49657 | − | 0.668955i | 0.692425 | − | 0.185535i | 0.104590 | − | 0.994515i | \(-0.466647\pi\) |
0.587835 | + | 0.808981i | \(0.299980\pi\) | |||||||
\(14\) | −0.000398167 | 0.0501145i | −0.000106415 | 0.0133937i | ||||||
\(15\) | 2.87428 | − | 2.59587i | 0.742135 | − | 0.670251i | ||||
\(16\) | 1.99892 | − | 3.46224i | 0.499731 | − | 0.865559i | ||||
\(17\) | −0.974651 | − | 3.63745i | −0.236388 | − | 0.882211i | −0.977518 | − | 0.210850i | \(-0.932377\pi\) |
0.741131 | − | 0.671361i | \(-0.234290\pi\) | |||||||
\(18\) | 0.0206396 | − | 0.0529456i | 0.00486481 | − | 0.0124794i | ||||
\(19\) | 2.84910 | + | 4.93478i | 0.653628 | + | 1.13212i | 0.982236 | + | 0.187651i | \(0.0600873\pi\) |
−0.328608 | + | 0.944467i | \(0.606579\pi\) | |||||||
\(20\) | −3.17465 | − | 3.14872i | −0.709874 | − | 0.704074i | ||||
\(21\) | −4.49223 | + | 0.905481i | −0.980284 | + | 0.197592i | ||||
\(22\) | −0.112208 | + | 0.0300661i | −0.0239229 | + | 0.00641012i | ||||
\(23\) | 2.51390 | − | 2.51390i | 0.524185 | − | 0.524185i | −0.394647 | − | 0.918833i | \(-0.629133\pi\) |
0.918833 | + | 0.394647i | \(0.129133\pi\) | |||||||
\(24\) | −0.124695 | − | 0.0408737i | −0.0254533 | − | 0.00834331i | ||||
\(25\) | −4.30947 | + | 2.53544i | −0.861895 | + | 0.507087i | ||||
\(26\) | −0.0423994 | + | 0.0244793i | −0.00831521 | + | 0.00480079i | ||||
\(27\) | 5.12570 | + | 0.852764i | 0.986441 | + | 0.164114i | ||||
\(28\) | 1.32865 | + | 5.12100i | 0.251092 | + | 0.967778i | ||||
\(29\) | 5.59629 | − | 3.23102i | 1.03921 | − | 0.599986i | 0.119597 | − | 0.992822i | \(-0.461840\pi\) |
0.919608 | + | 0.392837i | \(0.128506\pi\) | |||||||
\(30\) | −0.0398632 | + | 0.0615872i | −0.00727800 | + | 0.0112442i | ||||
\(31\) | −5.68601 | + | 3.28282i | −1.02124 | + | 0.589612i | −0.914462 | − | 0.404671i | \(-0.867386\pi\) |
−0.106776 | + | 0.994283i | \(0.534053\pi\) | |||||||
\(32\) | −0.0588169 | + | 0.219508i | −0.0103975 | + | 0.0388038i | ||||
\(33\) | −4.79780 | − | 9.47690i | −0.835190 | − | 1.64972i | ||||
\(34\) | 0.0356658 | + | 0.0617749i | 0.00611663 | + | 0.0105943i | ||||
\(35\) | 5.91604 | + | 0.0227372i | 0.999993 | + | 0.00384329i | ||||
\(36\) | 0.657996 | − | 5.96273i | 0.109666 | − | 0.993788i | ||||
\(37\) | −0.132491 | + | 0.494462i | −0.0217813 | + | 0.0812891i | −0.975961 | − | 0.217945i | \(-0.930065\pi\) |
0.954180 | + | 0.299234i | \(0.0967312\pi\) | |||||||
\(38\) | −0.0763222 | − | 0.0763222i | −0.0123811 | − | 0.0123811i | ||||
\(39\) | −2.98688 | − | 3.33462i | −0.478284 | − | 0.533966i | ||||
\(40\) | 0.147058 | + | 0.0841016i | 0.0232519 | + | 0.0132976i | ||||
\(41\) | 2.05589 | + | 1.18697i | 0.321077 | + | 0.185374i | 0.651872 | − | 0.758329i | \(-0.273984\pi\) |
−0.330796 | + | 0.943702i | \(0.607317\pi\) | |||||||
\(42\) | 0.0777536 | − | 0.0385908i | 0.0119976 | − | 0.00595469i | ||||
\(43\) | 4.93886 | + | 1.32336i | 0.753169 | + | 0.201811i | 0.614923 | − | 0.788587i | \(-0.289187\pi\) |
0.138246 | + | 0.990398i | \(0.455854\pi\) | |||||||
\(44\) | −10.6203 | + | 6.13161i | −1.60107 | + | 0.924376i | ||||
\(45\) | −6.26003 | − | 2.41080i | −0.933191 | − | 0.359381i | ||||
\(46\) | −0.0336715 | + | 0.0583207i | −0.00496459 | + | 0.00859892i | ||||
\(47\) | −0.388504 | − | 1.44992i | −0.0566691 | − | 0.211492i | 0.931785 | − | 0.363009i | \(-0.118251\pi\) |
−0.988455 | + | 0.151517i | \(0.951584\pi\) | |||||||
\(48\) | −6.91402 | − | 0.380332i | −0.997953 | − | 0.0548962i | ||||
\(49\) | −6.00580 | − | 3.59588i | −0.857971 | − | 0.513697i | ||||
\(50\) | 0.0664189 | − | 0.0675176i | 0.00939305 | − | 0.00954843i | ||||
\(51\) | −4.85846 | + | 4.35181i | −0.680320 | + | 0.609376i | ||||
\(52\) | −3.65458 | + | 3.65458i | −0.506799 | + | 0.506799i | ||||
\(53\) | 2.07318 | + | 7.73720i | 0.284773 | + | 1.06279i | 0.949005 | + | 0.315260i | \(0.102092\pi\) |
−0.664232 | + | 0.747526i | \(0.731241\pi\) | |||||||
\(54\) | −0.0979640 | + | 0.00952641i | −0.0133312 | + | 0.00129638i | ||||
\(55\) | 3.60353 | + | 13.2312i | 0.485900 | + | 1.78410i | ||||
\(56\) | −0.0988409 | − | 0.174383i | −0.0132082 | − | 0.0233029i | ||||
\(57\) | 5.39680 | − | 8.26335i | 0.714824 | − | 1.09451i | ||||
\(58\) | −0.0865532 | + | 0.0865532i | −0.0113650 | + | 0.0113650i | ||||
\(59\) | −1.27310 | − | 2.20508i | −0.165744 | − | 0.287077i | 0.771175 | − | 0.636623i | \(-0.219669\pi\) |
−0.936919 | + | 0.349546i | \(0.886336\pi\) | |||||||
\(60\) | −2.38209 | + | 7.36913i | −0.307527 | + | 0.951351i | ||||
\(61\) | −8.33626 | − | 4.81294i | −1.06735 | − | 0.616234i | −0.139892 | − | 0.990167i | \(-0.544676\pi\) |
−0.927456 | + | 0.373933i | \(0.878009\pi\) | |||||||
\(62\) | 0.0879408 | − | 0.0879408i | 0.0111685 | − | 0.0111685i | ||||
\(63\) | 4.91364 | + | 6.23347i | 0.619061 | + | 0.785343i | ||||
\(64\) | 7.99139i | 0.998924i | ||||||||
\(65\) | 2.91022 | + | 4.99325i | 0.360969 | + | 0.619336i | ||||
\(66\) | 0.134245 | + | 0.149874i | 0.0165244 | + | 0.0184482i | ||||
\(67\) | −2.37089 | + | 8.84830i | −0.289651 | + | 1.08099i | 0.655723 | + | 0.755002i | \(0.272364\pi\) |
−0.945373 | + | 0.325989i | \(0.894303\pi\) | |||||||
\(68\) | 5.32464 | + | 5.32464i | 0.645707 | + | 0.645707i | ||||
\(69\) | −5.85145 | − | 1.91804i | −0.704431 | − | 0.230905i | ||||
\(70\) | −0.108355 | + | 0.0285878i | −0.0129509 | + | 0.00341690i | ||||
\(71\) | −0.445188 | −0.0528340 | −0.0264170 | − | 0.999651i | \(-0.508410\pi\) | ||||
−0.0264170 | + | 0.999651i | \(0.508410\pi\) | |||||||
\(72\) | 0.0343903 | + | 0.224668i | 0.00405294 | + | 0.0264774i | ||||
\(73\) | −4.53748 | + | 1.21581i | −0.531072 | + | 0.142300i | −0.514383 | − | 0.857560i | \(-0.671979\pi\) |
−0.0166888 | + | 0.999861i | \(0.505312\pi\) | |||||||
\(74\) | − | 0.00969656i | − | 0.00112720i | ||||||
\(75\) | 7.28945 | + | 4.67589i | 0.841713 | + | 0.539926i | ||||
\(76\) | −9.86780 | − | 5.69718i | −1.13191 | − | 0.653511i | ||||
\(77\) | 4.32389 | − | 15.6389i | 0.492753 | − | 1.78222i | ||||
\(78\) | 0.0709982 | + | 0.0463690i | 0.00803897 | + | 0.00525026i | ||||
\(79\) | 2.58546 | + | 1.49272i | 0.290887 | + | 0.167944i | 0.638342 | − | 0.769753i | \(-0.279621\pi\) |
−0.347455 | + | 0.937697i | \(0.612954\pi\) | |||||||
\(80\) | 8.64427 | + | 2.27827i | 0.966459 | + | 0.254718i | ||||
\(81\) | −2.69221 | − | 8.58790i | −0.299134 | − | 0.954211i | ||||
\(82\) | −0.0434353 | − | 0.0116384i | −0.00479662 | − | 0.00128525i | ||||
\(83\) | 0.979709 | − | 3.65632i | 0.107537 | − | 0.401334i | −0.891084 | − | 0.453839i | \(-0.850054\pi\) |
0.998621 | + | 0.0525056i | \(0.0167207\pi\) | |||||||
\(84\) | 6.87405 | − | 6.05948i | 0.750020 | − | 0.661143i | ||||
\(85\) | 7.27504 | − | 4.24013i | 0.789089 | − | 0.459906i | ||||
\(86\) | −0.0968526 | −0.0104439 | ||||||||
\(87\) | −9.37105 | − | 6.12024i | −1.00468 | − | 0.656159i | ||||
\(88\) | 0.328539 | − | 0.328539i | 0.0350224 | − | 0.0350224i | ||||
\(89\) | −4.73130 | − | 8.19485i | −0.501517 | − | 0.868652i | −0.999998 | − | 0.00175214i | \(-0.999442\pi\) |
0.498482 | − | 0.866900i | \(-0.333891\pi\) | |||||||
\(90\) | 0.126357 | + | 0.0134193i | 0.0133192 | + | 0.00141452i | ||||
\(91\) | 0.0543297 | − | 6.83811i | 0.00569530 | − | 0.716828i | ||||
\(92\) | −1.83998 | + | 6.86688i | −0.191831 | + | 0.715922i | ||||
\(93\) | 9.52129 | + | 6.21836i | 0.987311 | + | 0.644814i | ||||
\(94\) | 0.0142167 | + | 0.0246240i | 0.00146634 | + | 0.00253977i | ||||
\(95\) | −8.97261 | + | 9.04652i | −0.920571 | + | 0.928154i | ||||
\(96\) | 0.385220 | − | 0.0808374i | 0.0393163 | − | 0.00825043i | ||||
\(97\) | −4.54051 | − | 1.21663i | −0.461019 | − | 0.123530i | 0.0208315 | − | 0.999783i | \(-0.493369\pi\) |
−0.481851 | + | 0.876253i | \(0.660035\pi\) | |||||||
\(98\) | 0.127515 | + | 0.0363488i | 0.0128810 | + | 0.00367178i | ||||
\(99\) | −10.8912 | + | 14.8281i | −1.09461 | + | 1.49028i | ||||
\(100\) | 4.92791 | − | 8.69942i | 0.492791 | − | 0.869942i | ||||
\(101\) | − | 0.761188i | − | 0.0757410i | −0.999283 | − | 0.0378705i | \(-0.987943\pi\) | ||
0.999283 | − | 0.0378705i | \(-0.0120574\pi\) | |||||||
\(102\) | 0.0675586 | − | 0.103443i | 0.00668929 | − | 0.0102424i | ||||
\(103\) | −7.13689 | − | 7.13689i | −0.703219 | − | 0.703219i | 0.261881 | − | 0.965100i | \(-0.415657\pi\) |
−0.965100 | + | 0.261881i | \(0.915657\pi\) | |||||||
\(104\) | 0.0979084 | − | 0.169582i | 0.00960071 | − | 0.0166289i | ||||
\(105\) | −4.59315 | − | 9.15985i | −0.448246 | − | 0.893910i | ||||
\(106\) | −0.0758645 | − | 0.131401i | −0.00736861 | − | 0.0127628i | ||||
\(107\) | 5.04223 | − | 18.8179i | 0.487451 | − | 1.81919i | −0.0813094 | − | 0.996689i | \(-0.525910\pi\) |
0.568760 | − | 0.822503i | \(-0.307423\pi\) | |||||||
\(108\) | −9.72899 | + | 3.64801i | −0.936172 | + | 0.351030i | ||||
\(109\) | −3.26038 | − | 1.88238i | −0.312287 | − | 0.180299i | 0.335662 | − | 0.941982i | \(-0.391040\pi\) |
−0.647950 | + | 0.761683i | \(0.724373\pi\) | |||||||
\(110\) | −0.130800 | − | 0.224421i | −0.0124713 | − | 0.0213977i | ||||
\(111\) | 0.867745 | − | 0.182094i | 0.0823627 | − | 0.0172836i | ||||
\(112\) | −7.41963 | − | 7.53847i | −0.701089 | − | 0.712319i | ||||
\(113\) | 2.01009 | + | 7.50177i | 0.189094 | + | 0.705707i | 0.993717 | + | 0.111922i | \(0.0357006\pi\) |
−0.804623 | + | 0.593786i | \(0.797633\pi\) | |||||||
\(114\) | −0.0582318 | + | 0.177650i | −0.00545391 | + | 0.0166385i | ||||
\(115\) | 6.90086 | + | 3.94656i | 0.643508 | + | 0.368019i | ||||
\(116\) | −6.46088 | + | 11.1906i | −0.599878 | + | 1.03902i | ||||
\(117\) | −2.81627 | + | 7.22441i | −0.260364 | + | 0.667897i | ||||
\(118\) | 0.0341042 | + | 0.0341042i | 0.00313954 | + | 0.00313954i | ||||
\(119\) | −9.96296 | − | 0.0791571i | −0.913303 | − | 0.00725632i | ||||
\(120\) | 0.0149147 | − | 0.293044i | 0.00136152 | − | 0.0267512i | ||||
\(121\) | 26.6102 | 2.41911 | ||||||||
\(122\) | 0.176122 | + | 0.0471916i | 0.0159453 | + | 0.00427253i | ||||
\(123\) | 0.225843 | − | 4.10558i | 0.0203636 | − | 0.370188i | ||||
\(124\) | 6.56446 | − | 11.3700i | 0.589506 | − | 1.02105i | ||||
\(125\) | −8.00237 | − | 7.80782i | −0.715754 | − | 0.698353i | ||||
\(126\) | −0.120463 | − | 0.0899622i | −0.0107317 | − | 0.00801447i | ||||
\(127\) | 0.360966 | + | 0.360966i | 0.0320305 | + | 0.0320305i | 0.722941 | − | 0.690910i | \(-0.242790\pi\) |
−0.690910 | + | 0.722941i | \(0.742790\pi\) | |||||||
\(128\) | −0.156812 | − | 0.585231i | −0.0138604 | − | 0.0517276i | ||||
\(129\) | −1.81882 | − | 8.66734i | −0.160138 | − | 0.763117i | ||||
\(130\) | −0.0777272 | − | 0.0770922i | −0.00681713 | − | 0.00676143i | ||||
\(131\) | 10.5628i | 0.922876i | 0.887173 | + | 0.461438i | \(0.152666\pi\) | ||||
−0.887173 | + | 0.461438i | \(0.847334\pi\) | |||||||
\(132\) | 17.7838 | + | 11.6146i | 1.54788 | + | 1.01092i | ||||
\(133\) | 14.5929 | − | 3.78614i | 1.26536 | − | 0.328300i | ||||
\(134\) | − | 0.173518i | − | 0.0149897i | ||||||
\(135\) | 1.17199 | + | 11.5597i | 0.100869 | + | 0.994900i | ||||
\(136\) | −0.247077 | − | 0.142650i | −0.0211867 | − | 0.0122322i | ||||
\(137\) | 0.343856 | + | 0.343856i | 0.0293776 | + | 0.0293776i | 0.721643 | − | 0.692265i | \(-0.243387\pi\) |
−0.692265 | + | 0.721643i | \(0.743387\pi\) | |||||||
\(138\) | 0.116465 | + | 0.00640662i | 0.00991419 | + | 0.000545368i | ||||
\(139\) | −2.93486 | + | 5.08333i | −0.248932 | + | 0.431163i | −0.963230 | − | 0.268679i | \(-0.913413\pi\) |
0.714298 | + | 0.699842i | \(0.246746\pi\) | |||||||
\(140\) | −10.2678 | + | 5.87560i | −0.867785 | + | 0.496579i | ||||
\(141\) | −1.93662 | + | 1.73467i | −0.163093 | + | 0.146085i | ||||
\(142\) | 0.00814545 | − | 0.00218257i | 0.000683551 | − | 0.000183157i | ||||
\(143\) | 15.3108 | − | 4.10251i | 1.28035 | − | 0.343069i | ||||
\(144\) | 4.82131 | + | 10.9818i | 0.401776 | + | 0.915150i | ||||
\(145\) | 10.2592 | + | 10.1754i | 0.851981 | + | 0.845020i | ||||
\(146\) | 0.0770602 | − | 0.0444907i | 0.00637755 | − | 0.00368208i | ||||
\(147\) | −0.858212 | + | 12.0939i | −0.0707841 | + | 0.997492i | ||||
\(148\) | −0.264934 | − | 0.988747i | −0.0217774 | − | 0.0812745i | ||||
\(149\) | 5.65395i | 0.463189i | 0.972812 | + | 0.231595i | \(0.0743943\pi\) | ||||
−0.972812 | + | 0.231595i | \(0.925606\pi\) | |||||||
\(150\) | −0.156297 | − | 0.0498162i | −0.0127616 | − | 0.00406748i | ||||
\(151\) | 18.8511 | 1.53408 | 0.767040 | − | 0.641599i | \(-0.221729\pi\) | ||||
0.767040 | + | 0.641599i | \(0.221729\pi\) | |||||||
\(152\) | 0.416995 | + | 0.111733i | 0.0338228 | + | 0.00906278i | ||||
\(153\) | 10.5258 | + | 4.10324i | 0.850959 | + | 0.331727i | ||||
\(154\) | −0.00244184 | + | 0.307338i | −0.000196769 | + | 0.0247660i | ||||
\(155\) | −10.4237 | − | 10.3385i | −0.837250 | − | 0.830410i | ||||
\(156\) | 8.50652 | + | 2.78835i | 0.681067 | + | 0.223247i | ||||
\(157\) | 0.760300 | + | 0.203722i | 0.0606785 | + | 0.0162588i | 0.289031 | − | 0.957320i | \(-0.406667\pi\) |
−0.228352 | + | 0.973579i | \(0.573334\pi\) | |||||||
\(158\) | −0.0546235 | − | 0.0146363i | −0.00434561 | − | 0.00116440i | ||||
\(159\) | 10.3344 | − | 9.25673i | 0.819572 | − | 0.734106i | ||||
\(160\) | −0.508144 | + | 0.00208426i | −0.0401723 | + | 0.000164775i | ||||
\(161\) | −4.63822 | − | 8.18309i | −0.365543 | − | 0.644918i | ||||
\(162\) | 0.0913613 | + | 0.143931i | 0.00717802 | + | 0.0113083i | ||||
\(163\) | −18.5189 | − | 4.96212i | −1.45051 | − | 0.388663i | −0.554310 | − | 0.832310i | \(-0.687018\pi\) |
−0.896202 | + | 0.443647i | \(0.853684\pi\) | |||||||
\(164\) | −4.74703 | −0.370681 | ||||||||
\(165\) | 17.6271 | − | 15.9197i | 1.37227 | − | 1.23935i | ||||
\(166\) | 0.0717017i | 0.00556513i | ||||||||
\(167\) | 1.49744 | + | 5.58852i | 0.115875 | + | 0.432453i | 0.999351 | − | 0.0360245i | \(-0.0114694\pi\) |
−0.883476 | + | 0.468477i | \(0.844803\pi\) | |||||||
\(168\) | −0.192148 | + | 0.289164i | −0.0148245 | + | 0.0223095i | ||||
\(169\) | −5.47295 | + | 3.15981i | −0.420996 | + | 0.243062i | ||||
\(170\) | −0.112321 | + | 0.113247i | −0.00861466 | + | 0.00868562i | ||||
\(171\) | −16.9915 | − | 1.87503i | −1.29937 | − | 0.143387i | ||||
\(172\) | −9.87595 | + | 2.64625i | −0.753034 | + | 0.201775i | ||||
\(173\) | −12.9977 | + | 3.48271i | −0.988194 | + | 0.264786i | −0.716492 | − | 0.697595i | \(-0.754253\pi\) |
−0.271703 | + | 0.962381i | \(0.587587\pi\) | |||||||
\(174\) | 0.201464 | + | 0.0660378i | 0.0152730 | + | 0.00500631i | ||||
\(175\) | 3.42716 | + | 12.7771i | 0.259069 | + | 0.965859i | ||||
\(176\) | 12.2588 | − | 21.2329i | 0.924044 | − | 1.60049i | ||||
\(177\) | −2.41153 | + | 3.69243i | −0.181262 | + | 0.277540i | ||||
\(178\) | 0.126743 | + | 0.126743i | 0.00949979 | + | 0.00949979i | ||||
\(179\) | 0.969559 | + | 0.559775i | 0.0724683 | + | 0.0418396i | 0.535796 | − | 0.844347i | \(-0.320011\pi\) |
−0.463328 | + | 0.886187i | \(0.653345\pi\) | |||||||
\(180\) | 13.2511 | − | 2.08403i | 0.987680 | − | 0.155334i | ||||
\(181\) | − | 17.8699i | − | 1.32826i | −0.747617 | − | 0.664130i | \(-0.768802\pi\) | ||
0.747617 | − | 0.664130i | \(-0.231198\pi\) | |||||||
\(182\) | 0.0325303 | + | 0.125381i | 0.00241131 | + | 0.00929386i | ||||
\(183\) | −0.915750 | + | 16.6473i | −0.0676942 | + | 1.23061i | ||||
\(184\) | − | 0.269348i | − | 0.0198566i | ||||||
\(185\) | −1.14464 | + | 0.00469499i | −0.0841559 | + | 0.000345182i | ||||
\(186\) | −0.204694 | − | 0.0670965i | −0.0150089 | − | 0.00491975i | ||||
\(187\) | −5.97726 | − | 22.3074i | −0.437100 | − | 1.63128i | ||||
\(188\) | 2.12244 | + | 2.12244i | 0.154795 | + | 0.154795i | ||||
\(189\) | 5.78850 | − | 12.4697i | 0.421052 | − | 0.907037i | ||||
\(190\) | 0.119818 | − | 0.209510i | 0.00869249 | − | 0.0151995i | ||||
\(191\) | −4.50945 | + | 7.81059i | −0.326292 | + | 0.565154i | −0.981773 | − | 0.190057i | \(-0.939133\pi\) |
0.655481 | + | 0.755212i | \(0.272466\pi\) | |||||||
\(192\) | 12.3491 | − | 6.25190i | 0.891221 | − | 0.451192i | ||||
\(193\) | −8.67838 | − | 2.32536i | −0.624683 | − | 0.167383i | −0.0674273 | − | 0.997724i | \(-0.521479\pi\) |
−0.557256 | + | 0.830341i | \(0.688146\pi\) | |||||||
\(194\) | 0.0890409 | 0.00639277 | ||||||||
\(195\) | 5.43932 | − | 8.40354i | 0.389518 | − | 0.601790i | ||||
\(196\) | 13.9957 | + | 0.222410i | 0.999694 | + | 0.0158864i | ||||
\(197\) | 13.7801 | + | 13.7801i | 0.981792 | + | 0.981792i | 0.999837 | − | 0.0180448i | \(-0.00574414\pi\) |
−0.0180448 | + | 0.999837i | \(0.505744\pi\) | |||||||
\(198\) | 0.126577 | − | 0.324700i | 0.00899544 | − | 0.0230755i | ||||
\(199\) | 0.472409 | − | 0.818236i | 0.0334882 | − | 0.0580032i | −0.848796 | − | 0.528721i | \(-0.822672\pi\) |
0.882284 | + | 0.470718i | \(0.156005\pi\) | |||||||
\(200\) | −0.0950379 | + | 0.366693i | −0.00672020 | + | 0.0259291i | ||||
\(201\) | 15.5281 | − | 3.25853i | 1.09527 | − | 0.229839i | ||||
\(202\) | 0.00373178 | + | 0.0139272i | 0.000262567 | + | 0.000979915i | ||||
\(203\) | −4.29367 | − | 16.5490i | −0.301357 | − | 1.16151i | ||||
\(204\) | 4.06256 | − | 12.3938i | 0.284436 | − | 0.867739i | ||||
\(205\) | −1.35285 | + | 5.13301i | −0.0944868 | + | 0.358505i | ||||
\(206\) | 0.165571 | + | 0.0955922i | 0.0115359 | + | 0.00666023i | ||||
\(207\) | 1.61380 | + | 10.5428i | 0.112167 | + | 0.732775i | ||||
\(208\) | 2.67438 | − | 9.98092i | 0.185435 | − | 0.692052i | ||||
\(209\) | 17.4727 | + | 30.2636i | 1.20861 | + | 2.09338i | ||||
\(210\) | 0.128946 | + | 0.145077i | 0.00889815 | + | 0.0100112i | ||||
\(211\) | −9.68104 | + | 16.7681i | −0.666470 | + | 1.15436i | 0.312414 | + | 0.949946i | \(0.398862\pi\) |
−0.978884 | + | 0.204414i | \(0.934471\pi\) | |||||||
\(212\) | −11.3260 | − | 11.3260i | −0.777874 | − | 0.777874i | ||||
\(213\) | 0.348283 | + | 0.687950i | 0.0238640 | + | 0.0471375i | ||||
\(214\) | 0.369024i | 0.0252260i | ||||||||
\(215\) | 0.0468951 | + | 11.4331i | 0.00319822 | + | 0.779731i | ||||
\(216\) | 0.320276 | − | 0.228908i | 0.0217920 | − | 0.0155752i | ||||
\(217\) | 4.36251 | + | 16.8143i | 0.296146 | + | 1.14143i | ||||
\(218\) | 0.0688825 | + | 0.0184570i | 0.00466531 | + | 0.00125007i | ||||
\(219\) | 5.42861 | + | 6.06062i | 0.366831 | + | 0.409538i | ||||
\(220\) | −19.4692 | − | 19.3102i | −1.31262 | − | 1.30189i | ||||
\(221\) | −4.86658 | − | 8.42916i | −0.327361 | − | 0.567007i | ||||
\(222\) | −0.0149841 | + | 0.00758590i | −0.00100567 | + | 0.000509133i | ||||
\(223\) | 4.16008 | − | 15.5256i | 0.278579 | − | 1.03967i | −0.674825 | − | 0.737978i | \(-0.735781\pi\) |
0.953405 | − | 0.301695i | \(-0.0975524\pi\) | |||||||
\(224\) | 0.518293 | + | 0.304752i | 0.0346299 | + | 0.0203621i | ||||
\(225\) | 1.52292 | − | 14.9225i | 0.101528 | − | 0.994833i | ||||
\(226\) | −0.0735561 | − | 0.127403i | −0.00489288 | − | 0.00847471i | ||||
\(227\) | 7.17436 | − | 7.17436i | 0.476179 | − | 0.476179i | −0.427728 | − | 0.903907i | \(-0.640686\pi\) |
0.903907 | + | 0.427728i | \(0.140686\pi\) | |||||||
\(228\) | −1.08399 | + | 19.7058i | −0.0717892 | + | 1.30505i | ||||
\(229\) | −12.9079 | −0.852977 | −0.426488 | − | 0.904493i | \(-0.640249\pi\) | ||||
−0.426488 | + | 0.904493i | \(0.640249\pi\) | |||||||
\(230\) | −0.145611 | − | 0.0383769i | −0.00960131 | − | 0.00253050i | ||||
\(231\) | −27.5495 | + | 5.55306i | −1.81263 | + | 0.365364i | ||||
\(232\) | 0.126711 | − | 0.472893i | 0.00831901 | − | 0.0310470i | ||||
\(233\) | −17.9999 | − | 4.82306i | −1.17921 | − | 0.315969i | −0.384598 | − | 0.923084i | \(-0.625660\pi\) |
−0.794614 | + | 0.607115i | \(0.792327\pi\) | |||||||
\(234\) | 0.0161102 | − | 0.145990i | 0.00105316 | − | 0.00954364i | ||||
\(235\) | 2.89989 | − | 1.69015i | 0.189168 | − | 0.110253i | ||||
\(236\) | 4.40937 | + | 2.54575i | 0.287026 | + | 0.165714i | ||||
\(237\) | 0.284017 | − | 5.16311i | 0.0184489 | − | 0.335380i | ||||
\(238\) | 0.182677 | − | 0.0473959i | 0.0118412 | − | 0.00307222i | ||||
\(239\) | −4.98642 | − | 2.87891i | −0.322545 | − | 0.186221i | 0.329982 | − | 0.943987i | \(-0.392957\pi\) |
−0.652526 | + | 0.757766i | \(0.726291\pi\) | |||||||
\(240\) | −3.24206 | − | 15.1404i | −0.209274 | − | 0.977307i | ||||
\(241\) | 22.2984i | 1.43636i | 0.695855 | + | 0.718182i | \(0.255026\pi\) | ||||
−0.695855 | + | 0.718182i | \(0.744974\pi\) | |||||||
\(242\) | −0.486878 | + | 0.130459i | −0.0312977 | + | 0.00838620i | ||||
\(243\) | −11.1647 | + | 10.8788i | −0.716217 | + | 0.697878i | ||||
\(244\) | 19.2483 | 1.23225 | ||||||||
\(245\) | 4.22910 | − | 15.0703i | 0.270187 | − | 0.962808i | ||||
\(246\) | 0.0159958 | + | 0.0762257i | 0.00101985 | + | 0.00485997i | ||||
\(247\) | 10.4141 | + | 10.4141i | 0.662635 | + | 0.662635i | ||||
\(248\) | −0.128743 | + | 0.480475i | −0.00817517 | + | 0.0305102i | ||||
\(249\) | −6.41658 | + | 1.34650i | −0.406634 | + | 0.0853311i | ||||
\(250\) | 0.184695 | + | 0.103625i | 0.0116812 | + | 0.00655381i | ||||
\(251\) | 28.3009i | 1.78634i | 0.449723 | + | 0.893168i | \(0.351523\pi\) | ||||
−0.449723 | + | 0.893168i | \(0.648477\pi\) | |||||||
\(252\) | −14.7415 | − | 5.88198i | −0.928627 | − | 0.370530i | ||||
\(253\) | 15.4171 | − | 15.4171i | 0.969262 | − | 0.969262i | ||||
\(254\) | −0.00837413 | − | 0.00483481i | −0.000525440 | − | 0.000303363i | ||||
\(255\) | −12.2438 | − | 7.92496i | −0.766734 | − | 0.496280i | ||||
\(256\) | −7.98565 | − | 13.8316i | −0.499103 | − | 0.864472i | ||||
\(257\) | −2.52512 | + | 2.52512i | −0.157513 | + | 0.157513i | −0.781464 | − | 0.623951i | \(-0.785527\pi\) |
0.623951 | + | 0.781464i | \(0.285527\pi\) | |||||||
\(258\) | 0.0757707 | + | 0.149667i | 0.00471727 | + | 0.00931784i | ||||
\(259\) | 1.16750 | + | 0.686484i | 0.0725452 | + | 0.0426560i | ||||
\(260\) | −10.0321 | − | 5.73730i | −0.622164 | − | 0.355812i | ||||
\(261\) | −2.12638 | + | 19.2692i | −0.131620 | + | 1.19273i | ||||
\(262\) | −0.0517849 | − | 0.193264i | −0.00319928 | − | 0.0119399i | ||||
\(263\) | 2.05607 | − | 2.05607i | 0.126782 | − | 0.126782i | −0.640868 | − | 0.767651i | \(-0.721426\pi\) |
0.767651 | + | 0.640868i | \(0.221426\pi\) | |||||||
\(264\) | −0.764719 | − | 0.250667i | −0.0470652 | − | 0.0154275i | ||||
\(265\) | −15.4747 | + | 9.01916i | −0.950604 | + | 0.554043i | ||||
\(266\) | −0.248439 | + | 0.140816i | −0.0152328 | + | 0.00863401i | ||||
\(267\) | −8.96209 | + | 13.7224i | −0.548471 | + | 0.839795i | ||||
\(268\) | −4.74094 | − | 17.6934i | −0.289599 | − | 1.08080i | ||||
\(269\) | −10.5202 | + | 18.2216i | −0.641429 | + | 1.11099i | 0.343685 | + | 0.939085i | \(0.388325\pi\) |
−0.985114 | + | 0.171903i | \(0.945009\pi\) | |||||||
\(270\) | −0.0781159 | − | 0.205758i | −0.00475398 | − | 0.0125220i | ||||
\(271\) | 5.26632 | − | 3.04051i | 0.319906 | − | 0.184698i | −0.331445 | − | 0.943475i | \(-0.607536\pi\) |
0.651351 | + | 0.758777i | \(0.274203\pi\) | |||||||
\(272\) | −14.5420 | − | 3.89651i | −0.881736 | − | 0.236260i | ||||
\(273\) | −10.6094 | + | 5.26570i | −0.642113 | + | 0.318694i | ||||
\(274\) | −0.00797720 | − | 0.00460564i | −0.000481920 | − | 0.000278237i | ||||
\(275\) | −26.4288 | + | 15.5491i | −1.59371 | + | 0.937647i | ||||
\(276\) | 12.0509 | − | 2.52885i | 0.725378 | − | 0.152219i | ||||
\(277\) | −13.9400 | − | 13.9400i | −0.837576 | − | 0.837576i | 0.150963 | − | 0.988539i | \(-0.451762\pi\) |
−0.988539 | + | 0.150963i | \(0.951762\pi\) | |||||||
\(278\) | 0.0287768 | − | 0.107397i | 0.00172592 | − | 0.00644122i | ||||
\(279\) | 2.16047 | − | 19.5781i | 0.129344 | − | 1.17211i | ||||
\(280\) | 0.318150 | − | 0.315713i | 0.0190131 | − | 0.0188675i | ||||
\(281\) | 2.83383 | + | 4.90834i | 0.169052 | + | 0.292807i | 0.938087 | − | 0.346400i | \(-0.112596\pi\) |
−0.769035 | + | 0.639207i | \(0.779263\pi\) | |||||||
\(282\) | 0.0269294 | − | 0.0412331i | 0.00160362 | − | 0.00245540i | ||||
\(283\) | −2.37525 | + | 8.86454i | −0.141194 | + | 0.526942i | 0.858702 | + | 0.512476i | \(0.171272\pi\) |
−0.999895 | + | 0.0144664i | \(0.995395\pi\) | |||||||
\(284\) | 0.770949 | − | 0.445108i | 0.0457474 | − | 0.0264123i | ||||
\(285\) | 20.9992 | + | 6.78804i | 1.24388 | + | 0.402089i | ||||
\(286\) | −0.260023 | + | 0.150125i | −0.0153755 | + | 0.00887705i | ||||
\(287\) | 4.47638 | − | 4.40581i | 0.264233 | − | 0.260067i | ||||
\(288\) | −0.426287 | − | 0.532040i | −0.0251192 | − | 0.0313508i | ||||
\(289\) | 2.44135 | − | 1.40951i | 0.143609 | − | 0.0829126i | ||||
\(290\) | −0.237595 | − | 0.135879i | −0.0139521 | − | 0.00797911i | ||||
\(291\) | 1.67212 | + | 7.96827i | 0.0980214 | + | 0.467108i | ||||
\(292\) | 6.64214 | − | 6.64214i | 0.388702 | − | 0.388702i | ||||
\(293\) | 20.5143 | − | 5.49678i | 1.19846 | − | 0.321125i | 0.396233 | − | 0.918150i | \(-0.370317\pi\) |
0.802223 | + | 0.597025i | \(0.203651\pi\) | |||||||
\(294\) | −0.0435891 | − | 0.225486i | −0.00254217 | − | 0.0131506i | ||||
\(295\) | 4.00936 | − | 4.04239i | 0.233434 | − | 0.235357i | ||||
\(296\) | 0.0193914 | + | 0.0335869i | 0.00112710 | + | 0.00195220i | ||||
\(297\) | 31.4345 | + | 5.22976i | 1.82401 | + | 0.303461i | ||||
\(298\) | −0.0277189 | − | 0.103448i | −0.00160571 | − | 0.00599261i | ||||
\(299\) | 4.59446 | − | 7.95784i | 0.265704 | − | 0.460214i | ||||
\(300\) | −17.2985 | − | 0.809295i | −0.998728 | − | 0.0467246i | ||||
\(301\) | 6.85684 | − | 11.6614i | 0.395222 | − | 0.672154i | ||||
\(302\) | −0.344912 | + | 0.0924190i | −0.0198475 | + | 0.00531811i | ||||
\(303\) | −1.17627 | + | 0.595500i | −0.0675747 | + | 0.0342106i | ||||
\(304\) | 22.7805 | 1.30655 | ||||||||
\(305\) | 5.48553 | − | 20.8134i | 0.314100 | − | 1.19177i | ||||
\(306\) | −0.212703 | − | 0.0234721i | −0.0121594 | − | 0.00134181i | ||||
\(307\) | −16.5706 | + | 16.5706i | −0.945733 | + | 0.945733i | −0.998601 | − | 0.0528688i | \(-0.983163\pi\) |
0.0528688 | + | 0.998601i | \(0.483163\pi\) | |||||||
\(308\) | 8.14824 | + | 31.4056i | 0.464289 | + | 1.78950i | ||||
\(309\) | −5.44526 | + | 16.6121i | −0.309770 | + | 0.945027i | ||||
\(310\) | 0.241404 | + | 0.138058i | 0.0137108 | + | 0.00784115i | ||||
\(311\) | 11.1975 | − | 6.46489i | 0.634953 | − | 0.366590i | −0.147715 | − | 0.989030i | \(-0.547192\pi\) |
0.782668 | + | 0.622440i | \(0.213859\pi\) | |||||||
\(312\) | −0.338653 | − | 0.0186289i | −0.0191724 | − | 0.00105465i | ||||
\(313\) | −28.1766 | + | 7.54989i | −1.59263 | + | 0.426745i | −0.942808 | − | 0.333338i | \(-0.891825\pi\) |
−0.649827 | + | 0.760083i | \(0.725158\pi\) | |||||||
\(314\) | −0.0149097 | −0.000841404 | ||||||||
\(315\) | −10.5614 | + | 14.2638i | −0.595067 | + | 0.803676i | ||||
\(316\) | −5.96979 | −0.335827 | ||||||||
\(317\) | −9.37342 | + | 2.51160i | −0.526464 | + | 0.141066i | −0.512255 | − | 0.858833i | \(-0.671190\pi\) |
−0.0142090 | + | 0.999899i | \(0.504523\pi\) | |||||||
\(318\) | −0.143704 | + | 0.220033i | −0.00805850 | + | 0.0123388i | ||||
\(319\) | 34.3205 | − | 19.8149i | 1.92158 | − | 1.10942i | ||||
\(320\) | −17.2413 | + | 4.69567i | −0.963818 | + | 0.262496i | ||||
\(321\) | −33.0240 | + | 6.93000i | −1.84322 | + | 0.386795i | ||||
\(322\) | 0.124982 | + | 0.126984i | 0.00696499 | + | 0.00707655i | ||||
\(323\) | 15.1731 | − | 15.1731i | 0.844256 | − | 0.844256i | ||||
\(324\) | 13.2486 | + | 12.1803i | 0.736031 | + | 0.676683i | ||||
\(325\) | −9.06282 | + | 9.21275i | −0.502715 | + | 0.511031i | ||||
\(326\) | 0.363161 | 0.0201137 | ||||||||
\(327\) | −0.358157 | + | 6.51091i | −0.0198061 | + | 0.360054i | ||||
\(328\) | 0.173725 | − | 0.0465496i | 0.00959238 | − | 0.00257027i | ||||
\(329\) | −3.97132 | − | 0.0315527i | −0.218946 | − | 0.00173955i | ||||
\(330\) | −0.244470 | + | 0.377696i | −0.0134576 | + | 0.0207915i | ||||
\(331\) | 1.11931 | − | 1.93870i | 0.0615228 | − | 0.106561i | −0.833623 | − | 0.552333i | \(-0.813738\pi\) |
0.895146 | + | 0.445773i | \(0.147071\pi\) | |||||||
\(332\) | 1.95907 | + | 7.31133i | 0.107518 | + | 0.401262i | ||||
\(333\) | −0.960253 | − | 1.19847i | −0.0526215 | − | 0.0656758i | ||||
\(334\) | −0.0547964 | − | 0.0949101i | −0.00299832 | − | 0.00519325i | ||||
\(335\) | −20.4832 | + | 0.0840158i | −1.11912 | + | 0.00459027i | ||||
\(336\) | −5.84463 | + | 17.3631i | −0.318851 | + | 0.947237i | ||||
\(337\) | −3.43909 | + | 0.921502i | −0.187339 | + | 0.0501974i | −0.351269 | − | 0.936275i | \(-0.614250\pi\) |
0.163930 | + | 0.986472i | \(0.447583\pi\) | |||||||
\(338\) | 0.0846456 | − | 0.0846456i | 0.00460411 | − | 0.00460411i | ||||
\(339\) | 10.0200 | − | 8.97506i | 0.544209 | − | 0.487458i | ||||
\(340\) | −8.35911 | + | 14.6165i | −0.453336 | + | 0.792693i | ||||
\(341\) | −34.8707 | + | 20.1326i | −1.88835 | + | 1.09024i | ||||
\(342\) | 0.320080 | − | 0.0489951i | 0.0173079 | − | 0.00264935i | ||||
\(343\) | −13.4042 | + | 12.7800i | −0.723758 | + | 0.690054i | ||||
\(344\) | 0.335477 | − | 0.193688i | 0.0180877 | − | 0.0104429i | ||||
\(345\) | 0.699887 | − | 13.7514i | 0.0376807 | − | 0.740352i | ||||
\(346\) | 0.220740 | − | 0.127444i | 0.0118670 | − | 0.00685144i | ||||
\(347\) | 2.42374 | − | 9.04554i | 0.130113 | − | 0.485590i | −0.869857 | − | 0.493304i | \(-0.835789\pi\) |
0.999970 | + | 0.00771445i | \(0.00245561\pi\) | |||||||
\(348\) | 22.3474 | + | 1.22930i | 1.19794 | + | 0.0658975i | ||||
\(349\) | 0.789539 | + | 1.36752i | 0.0422631 | + | 0.0732018i | 0.886383 | − | 0.462952i | \(-0.153210\pi\) |
−0.844120 | + | 0.536154i | \(0.819877\pi\) | |||||||
\(350\) | −0.125346 | − | 0.216977i | −0.00670005 | − | 0.0115979i | ||||
\(351\) | 13.3671 | − | 1.29987i | 0.713485 | − | 0.0693822i | ||||
\(352\) | −0.360707 | + | 1.34618i | −0.0192258 | + | 0.0717515i | ||||
\(353\) | −19.1500 | − | 19.1500i | −1.01925 | − | 1.01925i | −0.999811 | − | 0.0194416i | \(-0.993811\pi\) |
−0.0194416 | − | 0.999811i | \(-0.506189\pi\) | |||||||
\(354\) | 0.0260206 | − | 0.0793820i | 0.00138298 | − | 0.00421910i | ||||
\(355\) | −0.261588 | − | 0.960485i | −0.0138837 | − | 0.0509773i | ||||
\(356\) | 16.3868 | + | 9.46090i | 0.868496 | + | 0.501427i | ||||
\(357\) | 7.67199 | + | 15.4577i | 0.406045 | + | 0.818109i | ||||
\(358\) | −0.0204841 | − | 0.00548869i | −0.00108262 | − | 0.000290086i | ||||
\(359\) | 26.1071 | − | 15.0730i | 1.37788 | − | 0.795521i | 0.385978 | − | 0.922508i | \(-0.373864\pi\) |
0.991904 | + | 0.126987i | \(0.0405307\pi\) | |||||||
\(360\) | −0.464510 | + | 0.206210i | −0.0244819 | + | 0.0108682i | ||||
\(361\) | −6.73473 | + | 11.6649i | −0.354460 | + | 0.613942i | ||||
\(362\) | 0.0876087 | + | 0.326960i | 0.00460461 | + | 0.0171846i | ||||
\(363\) | −20.8179 | − | 41.1208i | −1.09266 | − | 2.15828i | ||||
\(364\) | 6.74280 | + | 11.8961i | 0.353419 | + | 0.623527i | ||||
\(365\) | −5.28928 | − | 9.07514i | −0.276854 | − | 0.475015i | ||||
\(366\) | −0.0648597 | − | 0.309081i | −0.00339027 | − | 0.0161559i | ||||
\(367\) | −22.6361 | + | 22.6361i | −1.18159 | + | 1.18159i | −0.202261 | + | 0.979332i | \(0.564829\pi\) |
−0.979332 | + | 0.202261i | \(0.935171\pi\) | |||||||
\(368\) | −3.67863 | − | 13.7288i | −0.191762 | − | 0.715665i | ||||
\(369\) | −6.52105 | + | 2.86292i | −0.339472 | + | 0.149038i | ||||
\(370\) | 0.0209202 | − | 0.00569761i | 0.00108759 | − | 0.000296205i | ||||
\(371\) | 21.1922 | + | 0.168375i | 1.10024 | + | 0.00874158i | ||||
\(372\) | −22.7056 | − | 1.24901i | −1.17723 | − | 0.0647581i | ||||
\(373\) | 9.70668 | − | 9.70668i | 0.502593 | − | 0.502593i | −0.409650 | − | 0.912243i | \(-0.634349\pi\) |
0.912243 | + | 0.409650i | \(0.134349\pi\) | |||||||
\(374\) | 0.218728 | + | 0.378848i | 0.0113102 | + | 0.0195898i | ||||
\(375\) | −5.80495 | + | 18.4744i | −0.299766 | + | 0.954013i | ||||
\(376\) | −0.0984871 | − | 0.0568615i | −0.00507908 | − | 0.00293241i | ||||
\(377\) | 11.8101 | − | 11.8101i | 0.608254 | − | 0.608254i | ||||
\(378\) | −0.0447767 | + | 0.256533i | −0.00230307 | + | 0.0131946i | ||||
\(379\) | − | 30.9061i | − | 1.58754i | −0.608217 | − | 0.793771i | \(-0.708115\pi\) | ||
0.608217 | − | 0.793771i | \(-0.291885\pi\) | |||||||
\(380\) | 6.49333 | − | 24.6372i | 0.333101 | − | 1.26386i | ||||
\(381\) | 0.275407 | − | 0.840195i | 0.0141095 | − | 0.0430445i | ||||
\(382\) | 0.0442158 | − | 0.165016i | 0.00226228 | − | 0.00844294i | ||||
\(383\) | 6.56069 | + | 6.56069i | 0.335236 | + | 0.335236i | 0.854571 | − | 0.519335i | \(-0.173820\pi\) |
−0.519335 | + | 0.854571i | \(0.673820\pi\) | |||||||
\(384\) | −0.781680 | + | 0.700166i | −0.0398900 | + | 0.0357302i | ||||
\(385\) | 36.2814 | + | 0.139441i | 1.84907 | + | 0.00710656i | ||||
\(386\) | 0.170186 | 0.00866223 | ||||||||
\(387\) | −11.9707 | + | 9.59134i | −0.608507 | + | 0.487555i | ||||
\(388\) | 9.07940 | − | 2.43282i | 0.460937 | − | 0.123508i | ||||
\(389\) | 1.33594i | 0.0677348i | 0.999426 | + | 0.0338674i | \(0.0107824\pi\) | ||||
−0.999426 | + | 0.0338674i | \(0.989218\pi\) | |||||||
\(390\) | −0.0583225 | + | 0.180424i | −0.00295327 | + | 0.00913610i | ||||
\(391\) | −11.5944 | − | 6.69402i | −0.586353 | − | 0.338531i | ||||
\(392\) | −0.514377 | + | 0.129103i | −0.0259800 | + | 0.00652069i | ||||
\(393\) | 16.3227 | − | 8.26359i | 0.823372 | − | 0.416843i | ||||
\(394\) | −0.319688 | − | 0.184572i | −0.0161057 | − | 0.00929861i | ||||
\(395\) | −1.70132 | + | 6.45520i | −0.0856026 | + | 0.324796i | ||||
\(396\) | 4.03530 | − | 36.5677i | 0.202782 | − | 1.83760i | ||||
\(397\) | −13.9744 | − | 3.74442i | −0.701353 | − | 0.187927i | −0.109516 | − | 0.993985i | \(-0.534930\pi\) |
−0.591836 | + | 0.806058i | \(0.701597\pi\) | |||||||
\(398\) | −0.00463205 | + | 0.0172870i | −0.000232183 | + | 0.000866520i | ||||
\(399\) | −17.2672 | − | 19.5884i | −0.864439 | − | 0.980645i | ||||
\(400\) | 0.163977 | + | 19.9886i | 0.00819884 | + | 0.999428i | ||||
\(401\) | −29.2445 | −1.46040 | −0.730200 | − | 0.683233i | \(-0.760573\pi\) | ||||
−0.730200 | + | 0.683233i | \(0.760573\pi\) | |||||||
\(402\) | −0.268138 | + | 0.135748i | −0.0133735 | + | 0.00677050i | ||||
\(403\) | −11.9995 | + | 11.9995i | −0.597737 | + | 0.597737i | ||||
\(404\) | 0.761051 | + | 1.31818i | 0.0378637 | + | 0.0655819i | ||||
\(405\) | 16.9463 | − | 10.8546i | 0.842070 | − | 0.539368i | ||||
\(406\) | 0.159693 | + | 0.281742i | 0.00792543 | + | 0.0139826i | ||||
\(407\) | −0.812528 | + | 3.03239i | −0.0402755 | + | 0.150310i | ||||
\(408\) | −0.0271418 | + | 0.493409i | −0.00134372 | + | 0.0244274i | ||||
\(409\) | 4.13579 | + | 7.16341i | 0.204502 | + | 0.354208i | 0.949974 | − | 0.312329i | \(-0.101109\pi\) |
−0.745472 | + | 0.666537i | \(0.767776\pi\) | |||||||
\(410\) | −0.000412424 | − | 0.100550i | −2.03682e−5 | − | 0.00496579i | ||||
\(411\) | 0.262353 | − | 0.800370i | 0.0129409 | − | 0.0394794i | ||||
\(412\) | 19.4949 | + | 5.22363i | 0.960442 | + | 0.257350i | ||||
\(413\) | −6.52074 | + | 1.69182i | −0.320864 | + | 0.0832488i | ||||
\(414\) | −0.0812141 | − | 0.184986i | −0.00399146 | − | 0.00909158i | ||||
\(415\) | 8.46412 | − | 0.0347173i | 0.415488 | − | 0.00170420i | ||||
\(416\) | 0.587363i | 0.0287978i | ||||||||
\(417\) | 10.1513 | + | 0.558412i | 0.497112 | + | 0.0273455i | ||||
\(418\) | −0.468063 | − | 0.468063i | −0.0228937 | − | 0.0228937i | ||||
\(419\) | −5.14983 | + | 8.91978i | −0.251586 | + | 0.435760i | −0.963963 | − | 0.266038i | \(-0.914285\pi\) |
0.712377 | + | 0.701797i | \(0.247619\pi\) | |||||||
\(420\) | 17.1124 | + | 11.2702i | 0.834998 | + | 0.549927i | ||||
\(421\) | −16.9826 | − | 29.4148i | −0.827683 | − | 1.43359i | −0.899852 | − | 0.436196i | \(-0.856325\pi\) |
0.0721689 | − | 0.997392i | \(-0.477008\pi\) | |||||||
\(422\) | 0.0949241 | − | 0.354262i | 0.00462083 | − | 0.0172452i | ||||
\(423\) | 4.19566 | + | 1.63558i | 0.204000 | + | 0.0795248i | ||||
\(424\) | 0.525558 | + | 0.303431i | 0.0255233 | + | 0.0147359i | ||||
\(425\) | 13.4228 | + | 13.2043i | 0.651099 | + | 0.640503i | ||||
\(426\) | −0.00974516 | − | 0.0108797i | −0.000472154 | − | 0.000527123i | ||||
\(427\) | −18.1509 | + | 17.8647i | −0.878382 | + | 0.864535i | ||||
\(428\) | 10.0827 | + | 37.6290i | 0.487364 | + | 1.81887i | ||||
\(429\) | −18.3177 | − | 20.4503i | −0.884386 | − | 0.987348i | ||||
\(430\) | −0.0569097 | − | 0.208958i | −0.00274443 | − | 0.0100768i | ||||
\(431\) | −7.03559 | + | 12.1860i | −0.338893 | + | 0.586979i | −0.984225 | − | 0.176923i | \(-0.943386\pi\) |
0.645332 | + | 0.763902i | \(0.276719\pi\) | |||||||
\(432\) | 13.1984 | − | 16.0418i | 0.635006 | − | 0.771810i | ||||
\(433\) | −1.95981 | − | 1.95981i | −0.0941825 | − | 0.0941825i | 0.658446 | − | 0.752628i | \(-0.271214\pi\) |
−0.752628 | + | 0.658446i | \(0.771214\pi\) | |||||||
\(434\) | −0.162253 | − | 0.286259i | −0.00778840 | − | 0.0137409i | ||||
\(435\) | 7.69798 | − | 23.8141i | 0.369090 | − | 1.14180i | ||||
\(436\) | 7.52816 | 0.360534 | ||||||||
\(437\) | 19.5679 | + | 5.24321i | 0.936062 | + | 0.250817i | ||||
\(438\) | −0.129038 | − | 0.0842750i | −0.00616568 | − | 0.00402681i | ||||
\(439\) | −6.31360 | + | 10.9355i | −0.301332 | + | 0.521922i | −0.976438 | − | 0.215799i | \(-0.930764\pi\) |
0.675106 | + | 0.737721i | \(0.264098\pi\) | |||||||
\(440\) | 0.901865 | + | 0.515771i | 0.0429947 | + | 0.0245884i | ||||
\(441\) | 19.3602 | − | 8.13525i | 0.921915 | − | 0.387393i | ||||
\(442\) | 0.130367 | + | 0.130367i | 0.00620092 | + | 0.00620092i | ||||
\(443\) | 0.200633 | + | 0.748771i | 0.00953234 | + | 0.0355752i | 0.970528 | − | 0.240988i | \(-0.0774713\pi\) |
−0.960996 | + | 0.276563i | \(0.910805\pi\) | |||||||
\(444\) | −1.32065 | + | 1.18293i | −0.0626751 | + | 0.0561393i | ||||
\(445\) | 14.9002 | − | 15.0229i | 0.706337 | − | 0.712155i | ||||
\(446\) | 0.304462i | 0.0144167i | ||||||||
\(447\) | 8.73706 | − | 4.42325i | 0.413249 | − | 0.209213i | ||||
\(448\) | 20.3787 | + | 5.63435i | 0.962802 | + | 0.266198i | ||||
\(449\) | − | 7.84103i | − | 0.370041i | −0.982735 | − | 0.185020i | \(-0.940765\pi\) | ||
0.982735 | − | 0.185020i | \(-0.0592352\pi\) | |||||||
\(450\) | 0.0452943 | + | 0.280498i | 0.00213519 | + | 0.0132228i | ||||
\(451\) | 12.6082 | + | 7.27936i | 0.593698 | + | 0.342771i | ||||
\(452\) | −10.9814 | − | 10.9814i | −0.516521 | − | 0.516521i | ||||
\(453\) | −14.7478 | − | 29.1306i | −0.692910 | − | 1.36868i | ||||
\(454\) | −0.0960941 | + | 0.166440i | −0.00450992 | + | 0.00781141i | ||||
\(455\) | 14.7850 | − | 3.90080i | 0.693133 | − | 0.182872i | ||||
\(456\) | −0.153565 | − | 0.731796i | −0.00719136 | − | 0.0342695i | ||||
\(457\) | 14.7704 | − | 3.95772i | 0.690930 | − | 0.185134i | 0.103766 | − | 0.994602i | \(-0.466911\pi\) |
0.587165 | + | 0.809468i | \(0.300244\pi\) | |||||||
\(458\) | 0.236171 | − | 0.0632819i | 0.0110356 | − | 0.00295697i | ||||
\(459\) | −1.89389 | − | 19.4756i | −0.0883990 | − | 0.909044i | ||||
\(460\) | −15.8963 | + | 0.0652020i | −0.741171 | + | 0.00304006i | ||||
\(461\) | 33.6589 | − | 19.4329i | 1.56765 | − | 0.905083i | 0.571207 | − | 0.820806i | \(-0.306476\pi\) |
0.996442 | − | 0.0842762i | \(-0.0268578\pi\) | |||||||
\(462\) | 0.476841 | − | 0.236666i | 0.0221846 | − | 0.0110107i | ||||
\(463\) | 9.68884 | + | 36.1593i | 0.450279 | + | 1.68046i | 0.701609 | + | 0.712562i | \(0.252465\pi\) |
−0.251330 | + | 0.967901i | \(0.580868\pi\) | |||||||
\(464\) | − | 25.8343i | − | 1.19933i | ||||||
\(465\) | −7.82139 | + | 24.1959i | −0.362708 | + | 1.12206i | ||||
\(466\) | 0.352984 | 0.0163517 | ||||||||
\(467\) | 11.9728 | + | 3.20810i | 0.554034 | + | 0.148453i | 0.524964 | − | 0.851124i | \(-0.324079\pi\) |
0.0290700 | + | 0.999577i | \(0.490745\pi\) | |||||||
\(468\) | −2.34606 | − | 15.3266i | −0.108447 | − | 0.708470i | ||||
\(469\) | 20.8922 | + | 12.2845i | 0.964714 | + | 0.567245i | ||||
\(470\) | −0.0447722 | + | 0.0451410i | −0.00206519 | + | 0.00208220i | ||||
\(471\) | −0.279993 | − | 1.33427i | −0.0129014 | − | 0.0614800i | ||||
\(472\) | −0.186332 | − | 0.0499275i | −0.00857662 | − | 0.00229810i | ||||
\(473\) | 30.2886 | + | 8.11581i | 1.39267 | + | 0.373165i | ||||
\(474\) | 0.0201160 | + | 0.0958603i | 0.000923959 | + | 0.00440301i | ||||
\(475\) | −24.7900 | − | 14.0426i | −1.13744 | − | 0.644319i | ||||
\(476\) | 17.3324 | − | 9.82409i | 0.794429 | − | 0.450286i | ||||
\(477\) | −22.3894 | − | 8.72799i | −1.02514 | − | 0.399627i | ||||
\(478\) | 0.105349 | + | 0.0282282i | 0.00481855 | + | 0.00129113i | ||||
\(479\) | 6.11824 | 0.279549 | 0.139775 | − | 0.990183i | \(-0.455362\pi\) | ||||
0.139775 | + | 0.990183i | \(0.455362\pi\) | |||||||
\(480\) | 0.400757 | + | 0.783606i | 0.0182920 | + | 0.0357666i | ||||
\(481\) | 1.32309i | 0.0603278i | ||||||||
\(482\) | −0.109320 | − | 0.407986i | −0.00497937 | − | 0.0185833i | ||||
\(483\) | −9.01674 | + | 13.5693i | −0.410276 | + | 0.617426i | ||||
\(484\) | −46.0819 | + | 26.6054i | −2.09463 | + | 1.20934i | ||||
\(485\) | −0.0431128 | − | 10.5110i | −0.00195765 | − | 0.477278i | ||||
\(486\) | 0.150943 | − | 0.253783i | 0.00684690 | − | 0.0115118i | ||||
\(487\) | 33.6730 | − | 9.02266i | 1.52587 | − | 0.408856i | 0.604201 | − | 0.796832i | \(-0.293493\pi\) |
0.921669 | + | 0.387977i | \(0.126826\pi\) | |||||||
\(488\) | −0.704423 | + | 0.188750i | −0.0318877 | + | 0.00854429i | ||||
\(489\) | 6.81989 | + | 32.4993i | 0.308406 | + | 1.46967i | ||||
\(490\) | −0.00349503 | + | 0.296470i | −0.000157890 | + | 0.0133932i | ||||
\(491\) | 1.89275 | − | 3.27834i | 0.0854187 | − | 0.147949i | −0.820151 | − | 0.572147i | \(-0.806111\pi\) |
0.905570 | + | 0.424198i | \(0.139444\pi\) | |||||||
\(492\) | 3.71374 | + | 7.33560i | 0.167428 | + | 0.330715i | ||||
\(493\) | −17.2071 | − | 17.2071i | −0.774969 | − | 0.774969i | ||||
\(494\) | −0.241600 | − | 0.139488i | −0.0108701 | − | 0.00627586i | ||||
\(495\) | −38.3910 | − | 14.7848i | −1.72555 | − | 0.664525i | ||||
\(496\) | 26.2484i | 1.17859i | ||||||||
\(497\) | −0.313881 | + | 1.13526i | −0.0140795 | + | 0.0509235i | ||||
\(498\) | 0.110801 | − | 0.0560943i | 0.00496510 | − | 0.00251365i | ||||
\(499\) | − | 4.88635i | − | 0.218743i | −0.994001 | − | 0.109372i | \(-0.965116\pi\) | ||
0.994001 | − | 0.109372i | \(-0.0348838\pi\) | |||||||
\(500\) | 21.6644 | + | 5.52017i | 0.968864 | + | 0.246870i | ||||
\(501\) | 7.46447 | − | 6.68606i | 0.333488 | − | 0.298711i | ||||
\(502\) | −0.138747 | − | 0.517812i | −0.00619260 | − | 0.0231111i | ||||
\(503\) | −13.4883 | − | 13.4883i | −0.601416 | − | 0.601416i | 0.339272 | − | 0.940688i | \(-0.389819\pi\) |
−0.940688 | + | 0.339272i | \(0.889819\pi\) | |||||||
\(504\) | 0.597168 | + | 0.0707050i | 0.0266000 | + | 0.00314945i | ||||
\(505\) | 1.64225 | − | 0.447267i | 0.0730792 | − | 0.0199031i | ||||
\(506\) | −0.206498 | + | 0.357664i | −0.00917994 | + | 0.0159001i | ||||
\(507\) | 9.16451 | + | 5.98535i | 0.407010 | + | 0.265819i | ||||
\(508\) | −0.985999 | − | 0.264198i | −0.0437467 | − | 0.0117219i | ||||
\(509\) | 20.2257 | 0.896489 | 0.448244 | − | 0.893911i | \(-0.352049\pi\) | ||||
0.448244 | + | 0.893911i | \(0.352049\pi\) | |||||||
\(510\) | 0.262873 | + | 0.0849745i | 0.0116402 | + | 0.00376273i | ||||
\(511\) | −0.0987434 | + | 12.4281i | −0.00436815 | + | 0.549789i | ||||
\(512\) | 1.07076 | + | 1.07076i | 0.0473213 | + | 0.0473213i | ||||
\(513\) | 10.3954 | + | 27.7238i | 0.458969 | + | 1.22404i | ||||
\(514\) | 0.0338217 | − | 0.0585810i | 0.00149181 | − | 0.00258390i | ||||
\(515\) | 11.2042 | − | 19.5913i | 0.493714 | − | 0.863296i | ||||
\(516\) | 11.8155 | + | 13.1911i | 0.520149 | + | 0.580705i | ||||
\(517\) | −2.38258 | − | 8.89192i | −0.104786 | − | 0.391066i | ||||
\(518\) | −0.0247270 | − | 0.00683659i | −0.00108644 | − | 0.000300383i | ||||
\(519\) | 15.5503 | + | 17.3607i | 0.682583 | + | 0.762050i | ||||
\(520\) | 0.423401 | + | 0.111591i | 0.0185674 | + | 0.00489358i | ||||
\(521\) | 30.1413 | + | 17.4021i | 1.32051 | + | 0.762399i | 0.983811 | − | 0.179211i | \(-0.0573545\pi\) |
0.336704 | + | 0.941611i | \(0.390688\pi\) | |||||||
\(522\) | −0.0555629 | − | 0.362986i | −0.00243192 | − | 0.0158875i | ||||
\(523\) | −2.72400 | + | 10.1661i | −0.119112 | + | 0.444532i | −0.999562 | − | 0.0296077i | \(-0.990574\pi\) |
0.880450 | + | 0.474140i | \(0.157241\pi\) | |||||||
\(524\) | −10.5609 | − | 18.2920i | −0.461355 | − | 0.799090i | ||||
\(525\) | 17.0633 | − | 15.2919i | 0.744705 | − | 0.667393i | ||||
\(526\) | −0.0275391 | + | 0.0476992i | −0.00120076 | + | 0.00207978i | ||||
\(527\) | 17.4830 | + | 17.4830i | 0.761570 | + | 0.761570i | ||||
\(528\) | −42.4017 | − | 2.33247i | −1.84530 | − | 0.101508i | ||||
\(529\) | 10.3606i | 0.450459i | ||||||||
\(530\) | 0.238919 | − | 0.240887i | 0.0103780 | − | 0.0104634i | ||||
\(531\) | 7.59254 | + | 0.837848i | 0.329488 | + | 0.0363595i | ||||
\(532\) | −21.4856 | + | 21.1468i | −0.931518 | + | 0.916832i | ||||
\(533\) | 5.92672 | + | 1.58806i | 0.256715 | + | 0.0687865i | ||||
\(534\) | 0.0967015 | − | 0.295011i | 0.00418468 | − | 0.0127664i | ||||
\(535\) | 43.5620 | − | 0.178678i | 1.88335 | − | 0.00772494i | ||||
\(536\) | 0.347005 | + | 0.601030i | 0.0149883 | + | 0.0259605i | ||||
\(537\) | 0.106508 | − | 1.93619i | 0.00459614 | − | 0.0835528i | ||||
\(538\) | 0.103152 | − | 0.384970i | 0.00444722 | − | 0.0165972i | ||||
\(539\) | −36.8319 | − | 22.0525i | −1.58646 | − | 0.949869i | ||||
\(540\) | −13.5872 | − | 18.8466i | −0.584700 | − | 0.811028i | ||||
\(541\) | −12.1708 | − | 21.0804i | −0.523264 | − | 0.906319i | −0.999633 | − | 0.0270742i | \(-0.991381\pi\) |
0.476370 | − | 0.879245i | \(-0.341952\pi\) | |||||||
\(542\) | −0.0814498 | + | 0.0814498i | −0.00349857 | + | 0.00349857i | ||||
\(543\) | −27.6144 | + | 13.9802i | −1.18505 | + | 0.599946i | ||||
\(544\) | 0.855773 | 0.0366910 | ||||||||
\(545\) | 2.14543 | − | 8.14028i | 0.0919003 | − | 0.348691i | ||||
\(546\) | 0.168302 | − | 0.148358i | 0.00720267 | − | 0.00634915i | ||||
\(547\) | −7.15409 | + | 26.6994i | −0.305887 | + | 1.14159i | 0.626292 | + | 0.779588i | \(0.284572\pi\) |
−0.932179 | + | 0.361997i | \(0.882095\pi\) | |||||||
\(548\) | −0.939263 | − | 0.251675i | −0.0401233 | − | 0.0107510i | ||||
\(549\) | 26.4416 | − | 11.6086i | 1.12850 | − | 0.495443i | ||||
\(550\) | 0.407328 | − | 0.414066i | 0.0173685 | − | 0.0176558i | ||||
\(551\) | 31.8888 | + | 18.4110i | 1.35851 | + | 0.784335i | ||||
\(552\) | −0.416224 | + | 0.210719i | −0.0177157 | + | 0.00896878i | ||||
\(553\) | 5.62943 | − | 5.54068i | 0.239388 | − | 0.235614i | ||||
\(554\) | 0.323399 | + | 0.186714i | 0.0137399 | + | 0.00793273i | ||||
\(555\) | 0.902744 | + | 1.76515i | 0.0383194 | + | 0.0749264i | ||||
\(556\) | − | 11.7373i | − | 0.497774i | ||||||
\(557\) | −19.7901 | + | 5.30273i | −0.838532 | + | 0.224684i | −0.652432 | − | 0.757847i | \(-0.726251\pi\) |
−0.186099 | + | 0.982531i | \(0.559585\pi\) | |||||||
\(558\) | 0.0564537 | + | 0.368806i | 0.00238987 | + | 0.0156128i | ||||
\(559\) | 13.2155 | 0.558956 | ||||||||
\(560\) | 11.9044 | − | 20.4373i | 0.503054 | − | 0.863632i | ||||
\(561\) | −29.7955 | + | 26.6884i | −1.25797 | + | 1.12679i | ||||
\(562\) | −0.0759132 | − | 0.0759132i | −0.00320220 | − | 0.00320220i | ||||
\(563\) | 1.98860 | − | 7.42155i | 0.0838094 | − | 0.312781i | −0.911277 | − | 0.411795i | \(-0.864902\pi\) |
0.995086 | + | 0.0990137i | \(0.0315688\pi\) | |||||||
\(564\) | 1.61937 | − | 4.94027i | 0.0681877 | − | 0.208023i | ||||
\(565\) | −15.0038 | + | 8.74472i | −0.631216 | + | 0.367893i | ||||
\(566\) | − | 0.173836i | − | 0.00730689i | ||||||
\(567\) | −23.7980 | + | 0.810415i | −0.999421 | + | 0.0340342i | ||||
\(568\) | −0.0238494 | + | 0.0238494i | −0.00100070 | + | 0.00100070i | ||||
\(569\) | 4.65860 | + | 2.68965i | 0.195299 | + | 0.112756i | 0.594461 | − | 0.804125i | \(-0.297366\pi\) |
−0.399162 | + | 0.916880i | \(0.630699\pi\) | |||||||
\(570\) | −0.417494 | − | 0.0212486i | −0.0174869 | − | 0.000890006i | ||||
\(571\) | 18.8785 | + | 32.6986i | 0.790042 | + | 1.36839i | 0.925941 | + | 0.377669i | \(0.123274\pi\) |
−0.135899 | + | 0.990723i | \(0.543392\pi\) | |||||||
\(572\) | −22.4125 | + | 22.4125i | −0.937114 | + | 0.937114i | ||||
\(573\) | 15.5976 | + | 0.858005i | 0.651599 | + | 0.0358437i | ||||
\(574\) | −0.0603031 | + | 0.102558i | −0.00251700 | + | 0.00428067i | ||||
\(575\) | −4.45976 | + | 17.2075i | −0.185985 | + | 0.717600i | ||||
\(576\) | −19.3222 | − | 14.1921i | −0.805090 | − | 0.591337i | ||||
\(577\) | −9.27100 | − | 34.5999i | −0.385957 | − | 1.44041i | −0.836653 | − | 0.547733i | \(-0.815491\pi\) |
0.450696 | − | 0.892677i | \(-0.351176\pi\) | |||||||
\(578\) | −0.0377584 | + | 0.0377584i | −0.00157054 | + | 0.00157054i | ||||
\(579\) | 3.19596 | + | 15.2299i | 0.132819 | + | 0.632934i | ||||
\(580\) | −27.9399 | − | 7.36377i | −1.16014 | − | 0.305764i | ||||
\(581\) | −8.63316 | − | 5.07624i | −0.358164 | − | 0.210598i | ||||
\(582\) | −0.0696593 | − | 0.137595i | −0.00288747 | − | 0.00570350i | ||||
\(583\) | 12.7142 | + | 47.4501i | 0.526569 | + | 1.96518i | ||||
\(584\) | −0.177947 | + | 0.308213i | −0.00736350 | + | 0.0127540i | ||||
\(585\) | −17.2414 | − | 1.83106i | −0.712842 | − | 0.0757051i | ||||
\(586\) | −0.348394 | + | 0.201146i | −0.0143920 | + | 0.00830925i | ||||
\(587\) | 5.81964 | + | 1.55937i | 0.240202 | + | 0.0643620i | 0.376912 | − | 0.926249i | \(-0.376986\pi\) |
−0.136709 | + | 0.990611i | \(0.543653\pi\) | |||||||
\(588\) | −10.6056 | − | 21.8016i | −0.437367 | − | 0.899084i | ||||
\(589\) | −32.4000 | − | 18.7062i | −1.33502 | − | 0.770774i | ||||
\(590\) | −0.0535399 | + | 0.0936185i | −0.00220420 | + | 0.00385421i | ||||
\(591\) | 10.5139 | − | 32.0750i | 0.432482 | − | 1.31939i | ||||
\(592\) | 1.44711 | + | 1.44711i | 0.0594757 | + | 0.0594757i | ||||
\(593\) | −2.99156 | + | 11.1646i | −0.122849 | + | 0.458477i | −0.999754 | − | 0.0221861i | \(-0.992937\pi\) |
0.876905 | + | 0.480663i | \(0.159604\pi\) | |||||||
\(594\) | −0.600785 | + | 0.0584228i | −0.0246505 | + | 0.00239711i | ||||
\(595\) | −5.68337 | − | 21.5414i | −0.232995 | − | 0.883113i | ||||
\(596\) | −5.65293 | − | 9.79117i | −0.231553 | − | 0.401062i | ||||
\(597\) | −1.63400 | − | 0.0898845i | −0.0668753 | − | 0.00367873i | ||||
\(598\) | −0.0450494 | + | 0.168127i | −0.00184221 | + | 0.00687521i | ||||
\(599\) | 27.5512 | − | 15.9067i | 1.12571 | − | 0.649930i | 0.182859 | − | 0.983139i | \(-0.441465\pi\) |
0.942853 | + | 0.333209i | \(0.108132\pi\) | |||||||
\(600\) | 0.641002 | − | 0.140012i | 0.0261688 | − | 0.00571597i | ||||
\(601\) | −16.3874 | + | 9.46127i | −0.668456 | + | 0.385933i | −0.795491 | − | 0.605965i | \(-0.792787\pi\) |
0.127035 | + | 0.991898i | \(0.459454\pi\) | |||||||
\(602\) | −0.0682862 | + | 0.246982i | −0.00278314 | + | 0.0100662i | ||||
\(603\) | −17.1835 | − | 21.4464i | −0.699767 | − | 0.873365i | ||||
\(604\) | −32.6452 | + | 18.8477i | −1.32831 | + | 0.766902i | ||||
\(605\) | 15.6359 | + | 57.4111i | 0.635690 | + | 2.33409i | ||||
\(606\) | 0.0186023 | − | 0.0166624i | 0.000755666 | − | 0.000676864i | ||||
\(607\) | 21.4565 | − | 21.4565i | 0.870891 | − | 0.870891i | −0.121679 | − | 0.992570i | \(-0.538828\pi\) |
0.992570 | + | 0.121679i | \(0.0388278\pi\) | |||||||
\(608\) | −1.25080 | + | 0.335150i | −0.0507266 | + | 0.0135921i | ||||
\(609\) | −22.2142 | + | 19.5818i | −0.900164 | + | 0.793495i | ||||
\(610\) | 0.00167230 | + | 0.407709i | 6.77094e−5 | + | 0.0165077i | ||||
\(611\) | −1.93986 | − | 3.35993i | −0.0784782 | − | 0.135928i | ||||
\(612\) | −22.3304 | + | 3.41815i | −0.902654 | + | 0.138171i | ||||
\(613\) | −4.12806 | − | 15.4061i | −0.166731 | − | 0.622247i | −0.997813 | − | 0.0660982i | \(-0.978945\pi\) |
0.831082 | − | 0.556149i | \(-0.187722\pi\) | |||||||
\(614\) | 0.221948 | − | 0.384425i | 0.00895709 | − | 0.0155141i | ||||
\(615\) | 8.99043 | − | 1.92515i | 0.362529 | − | 0.0776296i | ||||
\(616\) | −0.606163 | − | 1.06944i | −0.0244230 | − | 0.0430889i | ||||
\(617\) | −45.1004 | + | 12.0846i | −1.81567 | + | 0.486508i | −0.996238 | − | 0.0866619i | \(-0.972380\pi\) |
−0.819436 | + | 0.573170i | \(0.805713\pi\) | |||||||
\(618\) | 0.0181882 | − | 0.330641i | 0.000731636 | − | 0.0133003i | ||||
\(619\) | 23.8518 | 0.958684 | 0.479342 | − | 0.877628i | \(-0.340875\pi\) | ||||
0.479342 | + | 0.877628i | \(0.340875\pi\) | |||||||
\(620\) | 28.3878 | + | 7.48182i | 1.14008 | + | 0.300477i | ||||
\(621\) | 15.0293 | − | 10.7418i | 0.603105 | − | 0.431052i | ||||
\(622\) | −0.173183 | + | 0.173183i | −0.00694399 | + | 0.00694399i | ||||
\(623\) | −24.2333 | + | 6.28738i | −0.970888 | + | 0.251898i | ||||
\(624\) | −17.5158 | + | 3.67564i | −0.701193 | + | 0.147143i | ||||
\(625\) | 12.1431 | − | 21.8528i | 0.485725 | − | 0.874112i | ||||
\(626\) | 0.478524 | − | 0.276276i | 0.0191257 | − | 0.0110422i | ||||
\(627\) | 33.0971 | − | 50.6768i | 1.32177 | − | 2.02383i | ||||
\(628\) | −1.52033 | + | 0.407370i | −0.0606676 | + | 0.0162558i | ||||
\(629\) | 1.92771 | 0.0768629 | ||||||||
\(630\) | 0.123309 | − | 0.312759i | 0.00491274 | − | 0.0124606i | ||||
\(631\) | 19.3543 | 0.770482 | 0.385241 | − | 0.922816i | \(-0.374118\pi\) | ||||
0.385241 | + | 0.922816i | \(0.374118\pi\) | |||||||
\(632\) | 0.218474 | − | 0.0585400i | 0.00869044 | − | 0.00232860i | ||||
\(633\) | 33.4855 | + | 1.84200i | 1.33093 | + | 0.0732127i | ||||
\(634\) | 0.159189 | − | 0.0919079i | 0.00632221 | − | 0.00365013i | ||||
\(635\) | −0.566677 | + | 0.990878i | −0.0224879 | + | 0.0393218i | ||||
\(636\) | −8.64145 | + | 26.3628i | −0.342656 | + | 1.04535i | ||||
\(637\) | −17.3994 | − | 4.95977i | −0.689389 | − | 0.196513i | ||||
\(638\) | −0.530806 | + | 0.530806i | −0.0210148 | + | 0.0210148i | ||||
\(639\) | 0.790618 | − | 1.07641i | 0.0312764 | − | 0.0425820i | ||||
\(640\) | 1.17049 | − | 0.682196i | 0.0462675 | − | 0.0269662i | ||||
\(641\) | −26.1739 | −1.03381 | −0.516903 | − | 0.856044i | \(-0.672915\pi\) | ||||
−0.516903 | + | 0.856044i | \(0.672915\pi\) | |||||||
\(642\) | 0.570255 | − | 0.288699i | 0.0225062 | − | 0.0113940i | ||||
\(643\) | −4.45712 | + | 1.19428i | −0.175772 | + | 0.0470979i | −0.345631 | − | 0.938370i | \(-0.612335\pi\) |
0.169860 | + | 0.985468i | \(0.445669\pi\) | |||||||
\(644\) | 16.2138 | + | 9.53360i | 0.638914 | + | 0.375677i | ||||
\(645\) | 17.6309 | − | 9.01692i | 0.694217 | − | 0.355041i | ||||
\(646\) | −0.203231 | + | 0.352006i | −0.00799600 | + | 0.0138495i | ||||
\(647\) | −7.91416 | − | 29.5360i | −0.311138 | − | 1.16118i | −0.927532 | − | 0.373744i | \(-0.878074\pi\) |
0.616394 | − | 0.787438i | \(-0.288593\pi\) | |||||||
\(648\) | −0.604293 | − | 0.315842i | −0.0237389 | − | 0.0124074i | ||||
\(649\) | −7.80758 | − | 13.5231i | −0.306475 | − | 0.530829i | ||||
\(650\) | 0.120653 | − | 0.212994i | 0.00473241 | − | 0.00835431i | ||||
\(651\) | 22.5703 | − | 19.8957i | 0.884601 | − | 0.779776i | ||||
\(652\) | 37.0311 | − | 9.92246i | 1.45025 | − | 0.388594i | ||||
\(653\) | 7.08479 | − | 7.08479i | 0.277249 | − | 0.277249i | −0.554761 | − | 0.832010i | \(-0.687190\pi\) |
0.832010 | + | 0.554761i | \(0.187190\pi\) | |||||||
\(654\) | −0.0253672 | − | 0.120884i | −0.000991934 | − | 0.00472693i | ||||
\(655\) | −22.7891 | + | 6.20661i | −0.890442 | + | 0.242512i | ||||
\(656\) | 8.21915 | − | 4.74533i | 0.320904 | − | 0.185274i | ||||
\(657\) | 5.11853 | − | 13.1302i | 0.199693 | − | 0.512259i | ||||
\(658\) | 0.0728166 | − | 0.0188924i | 0.00283869 | − | 0.000736502i | ||||
\(659\) | −12.8339 | + | 7.40965i | −0.499937 | + | 0.288639i | −0.728688 | − | 0.684846i | \(-0.759869\pi\) |
0.228750 | + | 0.973485i | \(0.426536\pi\) | |||||||
\(660\) | −14.6087 | + | 45.1928i | −0.568643 | + | 1.75913i | ||||
\(661\) | −8.53557 | + | 4.92801i | −0.331995 | + | 0.191677i | −0.656727 | − | 0.754129i | \(-0.728059\pi\) |
0.324731 | + | 0.945806i | \(0.394726\pi\) | |||||||
\(662\) | −0.0109750 | + | 0.0409593i | −0.000426556 | + | 0.00159193i | ||||
\(663\) | −9.21833 | + | 14.1147i | −0.358010 | + | 0.548170i | ||||
\(664\) | −0.143390 | − | 0.248360i | −0.00556463 | − | 0.00963822i | ||||
\(665\) | 16.7432 | + | 29.2591i | 0.649272 | + | 1.13462i | ||||
\(666\) | 0.0234450 | + | 0.0172203i | 0.000908477 | + | 0.000667274i | ||||
\(667\) | 5.94607 | − | 22.1910i | 0.230233 | − | 0.859240i | ||||
\(668\) | −8.18070 | − | 8.18070i | −0.316521 | − | 0.316521i | ||||
\(669\) | −27.2463 | + | 5.71757i | −1.05340 | + | 0.221054i | ||||
\(670\) | 0.374362 | − | 0.101958i | 0.0144629 | − | 0.00393897i | ||||
\(671\) | −51.1239 | − | 29.5164i | −1.97362 | − | 1.13947i | ||||
\(672\) | 0.0654589 | − | 1.03934i | 0.00252513 | − | 0.0400932i | ||||
\(673\) | 16.3140 | + | 4.37132i | 0.628858 | + | 0.168502i | 0.559151 | − | 0.829066i | \(-0.311127\pi\) |
0.0697063 | + | 0.997568i | \(0.477794\pi\) | |||||||
\(674\) | 0.0584062 | − | 0.0337209i | 0.00224972 | − | 0.00129888i | ||||
\(675\) | −24.2512 | + | 9.32093i | −0.933429 | + | 0.358763i | ||||
\(676\) | 6.31849 | − | 10.9439i | 0.243019 | − | 0.420921i | ||||
\(677\) | −12.6156 | − | 47.0821i | −0.484857 | − | 1.80951i | −0.580703 | − | 0.814116i | \(-0.697222\pi\) |
0.0958455 | − | 0.995396i | \(-0.469445\pi\) | |||||||
\(678\) | −0.139331 | + | 0.213337i | −0.00535097 | + | 0.00819318i | ||||
\(679\) | −6.30380 | + | 10.7209i | −0.241918 | + | 0.411430i | ||||
\(680\) | 0.162585 | − | 0.616886i | 0.00623485 | − | 0.0236565i | ||||
\(681\) | −16.6993 | − | 5.47384i | −0.639917 | − | 0.209758i | ||||
\(682\) | 0.539316 | − | 0.539316i | 0.0206515 | − | 0.0206515i | ||||
\(683\) | −3.21154 | − | 11.9856i | −0.122886 | − | 0.458618i | 0.876869 | − | 0.480729i | \(-0.159628\pi\) |
−0.999756 | + | 0.0221110i | \(0.992961\pi\) | |||||||
\(684\) | 31.2995 | − | 13.7413i | 1.19677 | − | 0.525413i | ||||
\(685\) | −0.539817 | + | 0.943910i | −0.0206253 | + | 0.0360650i | ||||
\(686\) | 0.182597 | − | 0.299546i | 0.00697160 | − | 0.0114367i | ||||
\(687\) | 10.0982 | + | 19.9466i | 0.385271 | + | 0.761010i | ||||
\(688\) | 14.4542 | − | 14.4542i | 0.551061 | − | 0.551061i | ||||
\(689\) | 10.3517 | + | 17.9296i | 0.394368 | + | 0.683065i | ||||
\(690\) | 0.0546119 | + | 0.255037i | 0.00207904 | + | 0.00970908i | ||||
\(691\) | −11.4161 | − | 6.59110i | −0.434289 | − | 0.250737i | 0.266883 | − | 0.963729i | \(-0.414006\pi\) |
−0.701172 | + | 0.712992i | \(0.747340\pi\) | |||||||
\(692\) | 19.0265 | − | 19.0265i | 0.723279 | − | 0.723279i | ||||
\(693\) | 30.1340 | + | 38.2281i | 1.14470 | + | 1.45216i | ||||
\(694\) | 0.177386i | 0.00673347i | ||||||||
\(695\) | −12.6917 | − | 3.34500i | −0.481424 | − | 0.126883i | ||||
\(696\) | −0.829893 | + | 0.174151i | −0.0314570 | + | 0.00660117i | ||||
\(697\) | 2.31377 | − | 8.63509i | 0.0876401 | − | 0.327077i | ||||
\(698\) | −0.0211503 | − | 0.0211503i | −0.000800552 | − | 0.000800552i | ||||
\(699\) | 6.62876 | + | 31.5885i | 0.250723 | + | 1.19479i | ||||
\(700\) | −18.7098 | − | 18.7001i | −0.707163 | − | 0.706797i | ||||
\(701\) | −25.2884 | −0.955130 | −0.477565 | − | 0.878596i | \(-0.658481\pi\) | ||||
−0.477565 | + | 0.878596i | \(0.658481\pi\) | |||||||
\(702\) | −0.238202 | + | 0.0893169i | −0.00899034 | + | 0.00337105i | ||||
\(703\) | −2.81754 | + | 0.754958i | −0.106266 | + | 0.0284738i | ||||
\(704\) | 49.0089i | 1.84709i | ||||||||
\(705\) | −4.88046 | − | 3.15895i | −0.183809 | − | 0.118973i | ||||
\(706\) | 0.444266 | + | 0.256497i | 0.0167202 | + | 0.00965340i | ||||
\(707\) | −1.94109 | − | 0.536678i | −0.0730022 | − | 0.0201839i | ||||
\(708\) | 0.484376 | − | 8.80543i | 0.0182040 | − | 0.330928i | ||||
\(709\) | −11.7898 | − | 6.80682i | −0.442774 | − | 0.255636i | 0.262000 | − | 0.965068i | \(-0.415618\pi\) |
−0.704773 | + | 0.709432i | \(0.748951\pi\) | |||||||
\(710\) | 0.00949505 | + | 0.0162912i | 0.000356343 | + | 0.000611399i | ||||
\(711\) | −8.20077 | + | 3.60036i | −0.307553 | + | 0.135024i | ||||
\(712\) | −0.692474 | − | 0.185548i | −0.0259516 | − | 0.00695370i | ||||
\(713\) | −6.04139 | + | 22.5468i | −0.226252 | + | 0.844384i | ||||
\(714\) | −0.216155 | − | 0.245212i | −0.00808939 | − | 0.00917684i | ||||
\(715\) | 17.8476 | + | 30.6221i | 0.667461 | + | 1.14520i | ||||
\(716\) | −2.23870 | −0.0836641 | ||||||||
\(717\) | −0.547766 | + | 9.95779i | −0.0204567 | + | 0.371880i | ||||
\(718\) | −0.403778 | + | 0.403778i | −0.0150688 | + | 0.0150688i | ||||
\(719\) | −15.6540 | − | 27.1135i | −0.583796 | − | 1.01116i | −0.995024 | − | 0.0996321i | \(-0.968233\pi\) |
0.411228 | − | 0.911532i | \(-0.365100\pi\) | |||||||
\(720\) | −20.8601 | + | 16.8547i | −0.777410 | + | 0.628138i | ||||
\(721\) | −23.2315 | + | 13.1677i | −0.865187 | + | 0.490392i | ||||
\(722\) | 0.0660351 | − | 0.246447i | 0.00245757 | − | 0.00917179i | ||||
\(723\) | 34.4577 | − | 17.4447i | 1.28150 | − | 0.648775i | ||||
\(724\) | 17.8667 | + | 30.9461i | 0.664011 | + | 1.15010i | ||||
\(725\) | −15.9250 | + | 28.1130i | −0.591441 | + | 1.04409i | ||||
\(726\) | 0.582497 | + | 0.650313i | 0.0216185 | + | 0.0241354i | ||||
\(727\) | 28.4477 | + | 7.62254i | 1.05507 | + | 0.282704i | 0.744344 | − | 0.667796i | \(-0.232762\pi\) |
0.310723 | + | 0.950501i | \(0.399429\pi\) | |||||||
\(728\) | −0.363418 | − | 0.369239i | −0.0134692 | − | 0.0136849i | ||||
\(729\) | 25.5456 | + | 8.74202i | 0.946133 | + | 0.323779i | ||||
\(730\) | 0.141268 | + | 0.140114i | 0.00522856 | + | 0.00518584i | ||||
\(731\) | − | 19.2547i | − | 0.712159i | ||||||
\(732\) | −15.0585 | − | 29.7445i | −0.556579 | − | 1.09939i | ||||
\(733\) | 18.8030 | + | 18.8030i | 0.694503 | + | 0.694503i | 0.963219 | − | 0.268716i | \(-0.0865993\pi\) |
−0.268716 | + | 0.963219i | \(0.586599\pi\) | |||||||
\(734\) | 0.303190 | − | 0.525140i | 0.0111909 | − | 0.0193833i | ||||
\(735\) | −26.5968 | + | 5.25472i | −0.981036 | + | 0.193823i | ||||
\(736\) | 0.403961 | + | 0.699681i | 0.0148902 | + | 0.0257906i | ||||
\(737\) | −14.5400 | + | 54.2641i | −0.535588 | + | 1.99884i | ||||
\(738\) | 0.105278 | − | 0.0843519i | 0.00387533 | − | 0.00310504i | ||||
\(739\) | −45.7906 | − | 26.4372i | −1.68443 | − | 0.972508i | −0.958652 | − | 0.284582i | \(-0.908145\pi\) |
−0.725781 | − | 0.687926i | \(-0.758522\pi\) | |||||||
\(740\) | 1.97753 | − | 1.15257i | 0.0726955 | − | 0.0423693i | ||||
\(741\) | 7.94571 | − | 24.2403i | 0.291893 | − | 0.890489i | ||||
\(742\) | −0.388572 | + | 0.100816i | −0.0142649 | + | 0.00370106i | ||||
\(743\) | −10.2615 | − | 38.2964i | −0.376458 | − | 1.40496i | −0.851203 | − | 0.524837i | \(-0.824126\pi\) |
0.474745 | − | 0.880123i | \(-0.342540\pi\) | |||||||
\(744\) | 0.843198 | − | 0.176943i | 0.0309131 | − | 0.00648704i | ||||
\(745\) | −12.1983 | + | 3.32221i | −0.446911 | + | 0.121716i | ||||
\(746\) | −0.130012 | + | 0.225188i | −0.00476008 | + | 0.00824471i | ||||
\(747\) | 7.10063 | + | 8.86215i | 0.259799 | + | 0.324249i | ||||
\(748\) | 32.6545 | + | 32.6545i | 1.19397 | + | 1.19397i | ||||
\(749\) | −44.4320 | − | 26.1257i | −1.62351 | − | 0.954612i | ||||
\(750\) | 0.0156392 | − | 0.366479i | 0.000571063 | − | 0.0133819i | ||||
\(751\) | −13.7099 | −0.500280 | −0.250140 | − | 0.968210i | \(-0.580477\pi\) | ||||
−0.250140 | + | 0.968210i | \(0.580477\pi\) | |||||||
\(752\) | −5.79654 | − | 1.55318i | −0.211378 | − | 0.0566386i | ||||
\(753\) | 43.7334 | − | 22.1406i | 1.59374 | − | 0.806849i | ||||
\(754\) | −0.158186 | + | 0.273987i | −0.00576081 | + | 0.00997801i | ||||
\(755\) | 11.0767 | + | 40.6709i | 0.403124 | + | 1.48017i | ||||
\(756\) | 2.44327 | + | 27.3817i | 0.0888608 | + | 0.995864i | ||||
\(757\) | −3.37647 | − | 3.37647i | −0.122720 | − | 0.122720i | 0.643080 | − | 0.765799i | \(-0.277656\pi\) |
−0.765799 | + | 0.643080i | \(0.777656\pi\) | |||||||
\(758\) | 0.151520 | + | 0.565480i | 0.00550345 | + | 0.0205391i | ||||
\(759\) | −35.8853 | − | 11.7628i | −1.30255 | − | 0.426963i | ||||
\(760\) | 0.00395943 | + | 0.965314i | 0.000143623 | + | 0.0350156i | ||||
\(761\) | − | 32.2775i | − | 1.17006i | −0.811013 | − | 0.585029i | \(-0.801083\pi\) | ||
0.811013 | − | 0.585029i | \(-0.198917\pi\) | |||||||
\(762\) | −0.000919911 | 0.0167230i | −3.33249e−5 | 0.000605810i | ||||||
\(763\) | −7.09895 | + | 6.98704i | −0.256999 | + | 0.252948i | ||||
\(764\) | − | 18.0345i | − | 0.652467i | ||||||
\(765\) | −2.66781 | + | 25.1202i | −0.0964550 | + | 0.908224i | ||||
\(766\) | −0.152203 | − | 0.0878745i | −0.00549932 | − | 0.00317504i | ||||
\(767\) | −4.65350 | − | 4.65350i | −0.168028 | − | 0.168028i | ||||
\(768\) | −15.1265 | + | 23.1611i | −0.545832 | + | 0.835754i | ||||
\(769\) | 2.53581 | − | 4.39214i | 0.0914435 | − | 0.158385i | −0.816675 | − | 0.577098i | \(-0.804185\pi\) |
0.908119 | + | 0.418713i | \(0.137519\pi\) | |||||||
\(770\) | −0.664512 | + | 0.175321i | −0.0239474 | + | 0.00631813i | ||||
\(771\) | 5.87756 | + | 1.92660i | 0.211675 | + | 0.0693848i | ||||
\(772\) | 17.3536 | − | 4.64989i | 0.624571 | − | 0.167353i | ||||
\(773\) | 23.3164 | − | 6.24761i | 0.838632 | − | 0.224711i | 0.186156 | − | 0.982520i | \(-0.440397\pi\) |
0.652476 | + | 0.757809i | \(0.273730\pi\) | |||||||
\(774\) | 0.172003 | − | 0.234177i | 0.00618251 | − | 0.00841733i | ||||
\(775\) | 16.1803 | − | 28.5638i | 0.581215 | − | 1.02604i | ||||
\(776\) | −0.308419 | + | 0.178066i | −0.0110716 | + | 0.00639219i | ||||
\(777\) | 0.147452 | − | 2.34120i | 0.00528983 | − | 0.0839902i | ||||
\(778\) | −0.00654955 | − | 0.0244432i | −0.000234813 | − | 0.000876333i | ||||
\(779\) | 13.5272i | 0.484662i | ||||||||
\(780\) | −1.01746 | + | 19.9911i | −0.0364309 | + | 0.715796i | ||||
\(781\) | −2.73021 | −0.0976945 | ||||||||
\(782\) | 0.244957 | + | 0.0656359i | 0.00875963 | + | 0.00234714i | ||||
\(783\) | 31.4402 | − | 11.7889i | 1.12358 | − | 0.421302i | ||||
\(784\) | −24.4549 | + | 13.6056i | −0.873390 | + | 0.485915i | ||||
\(785\) | 0.00721915 | + | 1.76004i | 0.000257663 | + | 0.0628185i | ||||
\(786\) | −0.258139 | + | 0.231220i | −0.00920750 | + | 0.00824733i | ||||
\(787\) | −21.6632 | − | 5.80463i | −0.772209 | − | 0.206913i | −0.148862 | − | 0.988858i | \(-0.547561\pi\) |
−0.623347 | + | 0.781945i | \(0.714228\pi\) | |||||||
\(788\) | −37.6412 | − | 10.0859i | −1.34091 | − | 0.359296i | ||||
\(789\) | −4.78576 | − | 1.56872i | −0.170378 | − | 0.0558480i | ||||
\(790\) | −0.000518658 | − | 0.126449i | −1.84530e−5 | − | 0.00449887i | ||||
\(791\) | 20.5473 | + | 0.163251i | 0.730579 | + | 0.00580455i | ||||
\(792\) | 0.210906 | + | 1.37783i | 0.00749422 | + | 0.0489589i | ||||
\(793\) | −24.0317 | − | 6.43928i | −0.853391 | − | 0.228665i | ||||
\(794\) | 0.274041 | 0.00972537 | ||||||||
\(795\) | 26.0437 | + | 16.8572i | 0.923673 | + | 0.597862i | ||||
\(796\) | 1.88930i | 0.0669643i | ||||||||
\(797\) | 7.36746 | + | 27.4957i | 0.260969 | + | 0.973949i | 0.964672 | + | 0.263455i | \(0.0848620\pi\) |
−0.703703 | + | 0.710494i | \(0.748471\pi\) | |||||||
\(798\) | 0.411965 | + | 0.273748i | 0.0145834 | + | 0.00969059i | ||||
\(799\) | −4.89534 | + | 2.82632i | −0.173185 | + | 0.0999882i | ||||
\(800\) | −0.303078 | − | 1.09509i | −0.0107154 | − | 0.0387172i | ||||
\(801\) | 28.2165 | + | 3.11373i | 0.996981 | + | 0.110018i | ||||
\(802\) | 0.535077 | − | 0.143374i | 0.0188942 | − | 0.00506270i | ||||
\(803\) | −27.8271 | + | 7.45624i | −0.981996 | + | 0.263125i | ||||
\(804\) | −23.6327 | + | 21.1683i | −0.833461 | + | 0.746547i | ||||
\(805\) | 14.9295 | − | 14.8152i | 0.526196 | − | 0.522167i | ||||
\(806\) | 0.160722 | − | 0.278379i | 0.00566120 | − | 0.00980549i | ||||
\(807\) | 36.3881 | + | 2.00167i | 1.28092 | + | 0.0704620i | ||||
\(808\) | −0.0407780 | − | 0.0407780i | −0.00143457 | − | 0.00143457i | ||||
\(809\) | 13.1991 | + | 7.62053i | 0.464057 | + | 0.267924i | 0.713749 | − | 0.700402i | \(-0.246996\pi\) |
−0.249691 | + | 0.968325i | \(0.580329\pi\) | |||||||
\(810\) | −0.256846 | + | 0.281683i | −0.00902466 | + | 0.00989734i | ||||
\(811\) | 10.7416i | 0.377190i | 0.982055 | + | 0.188595i | \(0.0603933\pi\) | ||||
−0.982055 | + | 0.188595i | \(0.939607\pi\) | |||||||
\(812\) | 23.9816 | + | 24.3657i | 0.841589 | + | 0.855069i | ||||
\(813\) | −8.81851 | − | 5.75938i | −0.309279 | − | 0.201990i | ||||
\(814\) | − | 0.0594662i | − | 0.00208429i | ||||||
\(815\) | −0.175839 | − | 42.8699i | −0.00615939 | − | 1.50167i | ||||
\(816\) | 5.35532 | + | 25.5201i | 0.187474 | + | 0.893382i | ||||
\(817\) | 7.54079 | + | 28.1426i | 0.263819 | + | 0.984585i | ||||
\(818\) | −0.110790 | − | 0.110790i | −0.00387370 | − | 0.00387370i | ||||
\(819\) | 16.4372 | + | 12.2753i | 0.574362 | + | 0.428934i | ||||
\(820\) | −2.78931 | − | 10.2416i | −0.0974071 | − | 0.357654i | ||||
\(821\) | −14.1494 | + | 24.5075i | −0.493817 | + | 0.855317i | −0.999975 | − | 0.00712456i | \(-0.997732\pi\) |
0.506157 | + | 0.862441i | \(0.331065\pi\) | |||||||
\(822\) | −0.000876308 | 0.0159303i | −3.05647e−5 | 0.000555634i | ||||||
\(823\) | −8.19102 | − | 2.19478i | −0.285521 | − | 0.0765051i | 0.113216 | − | 0.993570i | \(-0.463885\pi\) |
−0.398737 | + | 0.917065i | \(0.630551\pi\) | |||||||
\(824\) | −0.764669 | −0.0266385 | ||||||||
\(825\) | 44.7041 | + | 28.6759i | 1.55640 | + | 0.998368i | ||||
\(826\) | 0.111014 | − | 0.0629230i | 0.00386266 | − | 0.00218937i | ||||
\(827\) | 6.66354 | + | 6.66354i | 0.231714 | + | 0.231714i | 0.813408 | − | 0.581694i | \(-0.197610\pi\) |
−0.581694 | + | 0.813408i | \(0.697610\pi\) | |||||||
\(828\) | −13.3356 | − | 16.6439i | −0.463444 | − | 0.578414i | ||||
\(829\) | −12.0722 | + | 20.9096i | −0.419284 | + | 0.726222i | −0.995868 | − | 0.0908168i | \(-0.971052\pi\) |
0.576583 | + | 0.817038i | \(0.304386\pi\) | |||||||
\(830\) | −0.154695 | + | 0.0421313i | −0.00536955 | + | 0.00146240i | ||||
\(831\) | −10.6359 | + | 32.4473i | −0.368955 | + | 1.12558i | ||||
\(832\) | 5.34588 | + | 19.9511i | 0.185335 | + | 0.691680i | ||||
\(833\) | −7.22627 | + | 25.3505i | −0.250375 | + | 0.878343i | ||||
\(834\) | −0.188473 | + | 0.0395506i | −0.00652629 | + | 0.00136952i | ||||
\(835\) | −11.1773 | + | 6.51447i | −0.386805 | + | 0.225443i | ||||
\(836\) | −60.5164 | − | 34.9392i | −2.09300 | − | 1.20840i | ||||
\(837\) | −31.9443 | + | 11.9779i | −1.10415 | + | 0.414018i | ||||
\(838\) | 0.0504950 | − | 0.188450i | 0.00174432 | − | 0.00650989i | ||||
\(839\) | −2.43115 | − | 4.21087i | −0.0839326 | − | 0.145375i | 0.821003 | − | 0.570923i | \(-0.193415\pi\) |
−0.904936 | + | 0.425548i | \(0.860081\pi\) | |||||||
\(840\) | −0.736770 | − | 0.244645i | −0.0254210 | − | 0.00844107i | ||||
\(841\) | 6.37900 | − | 11.0487i | 0.219965 | − | 0.380991i | ||||
\(842\) | 0.454934 | + | 0.454934i | 0.0156781 | + | 0.0156781i | ||||
\(843\) | 5.36788 | − | 8.21906i | 0.184880 | − | 0.283080i | ||||
\(844\) | − | 38.7172i | − | 1.33270i | ||||||
\(845\) | −10.0331 | − | 9.95113i | −0.345149 | − | 0.342329i | ||||
\(846\) | −0.0847853 | − | 0.00935618i | −0.00291498 | − | 0.000321672i | ||||
\(847\) | 18.7616 | − | 67.8581i | 0.644656 | − | 2.33163i | ||||
\(848\) | 30.9322 | + | 8.28825i | 1.06221 | + | 0.284620i | ||||
\(849\) | 15.5566 | − | 3.26452i | 0.533902 | − | 0.112038i | ||||
\(850\) | −0.310327 | − | 0.175789i | −0.0106441 | − | 0.00602951i | ||||
\(851\) | 0.909961 | + | 1.57610i | 0.0311931 | + | 0.0540280i | ||||
\(852\) | −1.29096 | − | 0.843129i | −0.0442276 | − | 0.0288851i | ||||
\(853\) | 11.6753 | − | 43.5729i | 0.399755 | − | 1.49191i | −0.413772 | − | 0.910381i | \(-0.635789\pi\) |
0.813527 | − | 0.581527i | \(-0.197544\pi\) | |||||||
\(854\) | 0.244517 | − | 0.415851i | 0.00836722 | − | 0.0142301i | ||||
\(855\) | −5.93868 | − | 37.7605i | −0.203098 | − | 1.29138i | ||||
\(856\) | −0.737983 | − | 1.27822i | −0.0252237 | − | 0.0436888i | ||||
\(857\) | 30.0839 | − | 30.0839i | 1.02765 | − | 1.02765i | 0.0280398 | − | 0.999607i | \(-0.491073\pi\) |
0.999607 | − | 0.0280398i | \(-0.00892651\pi\) | |||||||
\(858\) | 0.435412 | + | 0.284368i | 0.0148647 | + | 0.00970816i | ||||
\(859\) | 39.9772 | 1.36400 | 0.682002 | − | 0.731351i | \(-0.261110\pi\) | ||||
0.682002 | + | 0.731351i | \(0.261110\pi\) | |||||||
\(860\) | −11.5123 | − | 19.7523i | −0.392565 | − | 0.673547i | ||||
\(861\) | −10.3103 | − | 3.47057i | −0.351375 | − | 0.118277i | ||||
\(862\) | 0.0689851 | − | 0.257456i | 0.00234964 | − | 0.00876899i | ||||
\(863\) | −26.8196 | − | 7.18630i | −0.912951 | − | 0.244625i | −0.228381 | − | 0.973572i | \(-0.573343\pi\) |
−0.684570 | + | 0.728947i | \(0.740010\pi\) | |||||||
\(864\) | −0.488666 | + | 1.07497i | −0.0166247 | + | 0.0365713i | ||||
\(865\) | −15.1512 | − | 25.9958i | −0.515157 | − | 0.883885i | ||||
\(866\) | 0.0454662 | + | 0.0262499i | 0.00154500 | + | 0.000892008i | ||||
\(867\) | −4.08807 | − | 2.66992i | −0.138838 | − | 0.0906753i | ||||
\(868\) | −24.3661 | − | 24.7563i | −0.827038 | − | 0.840285i | ||||
\(869\) | 15.8559 | + | 9.15440i | 0.537874 | + | 0.310542i | ||||
\(870\) | −0.0240970 | + | 0.473459i | −0.000816964 | + | 0.0160518i | ||||
\(871\) | 23.6764i | 0.802246i | ||||||||
\(872\) | −0.275505 | + | 0.0738215i | −0.00932979 | + | 0.00249991i | ||||
\(873\) | 11.0052 | − | 8.81775i | 0.372471 | − | 0.298435i | ||||
\(874\) | −0.383734 | −0.0129800 | ||||||||
\(875\) | −25.5526 | + | 14.9018i | −0.863837 | + | 0.503771i | ||||
\(876\) | −15.4605 | − | 5.06778i | −0.522361 | − | 0.171224i | ||||
\(877\) | −14.2213 | − | 14.2213i | −0.480220 | − | 0.480220i | 0.424982 | − | 0.905202i | \(-0.360281\pi\) |
−0.905202 | + | 0.424982i | \(0.860281\pi\) | |||||||
\(878\) | 0.0619058 | − | 0.231036i | 0.00208922 | − | 0.00779708i | ||||
\(879\) | −24.5431 | − | 27.4005i | −0.827818 | − | 0.924194i | ||||
\(880\) | 53.0129 | + | 13.9720i | 1.78706 | + | 0.470994i | ||||
\(881\) | − | 1.97028i | − | 0.0663804i | −0.999449 | − | 0.0331902i | \(-0.989433\pi\) | ||
0.999449 | − | 0.0331902i | \(-0.0105667\pi\) | |||||||
\(882\) | −0.314344 | + | 0.243763i | −0.0105845 | + | 0.00820793i | ||||
\(883\) | 39.8723 | − | 39.8723i | 1.34181 | − | 1.34181i | 0.447555 | − | 0.894256i | \(-0.352295\pi\) |
0.894256 | − | 0.447555i | \(-0.147705\pi\) | |||||||
\(884\) | 16.8553 | + | 9.73141i | 0.566905 | + | 0.327303i | ||||
\(885\) | −9.38336 | − | 3.03320i | −0.315418 | − | 0.101960i | ||||
\(886\) | −0.00734182 | − | 0.0127164i | −0.000246653 | − | 0.000427216i | ||||
\(887\) | −1.00324 | + | 1.00324i | −0.0336854 | + | 0.0336854i | −0.723749 | − | 0.690063i | \(-0.757583\pi\) |
0.690063 | + | 0.723749i | \(0.257583\pi\) | |||||||
\(888\) | 0.0367314 | − | 0.0562415i | 0.00123263 | − | 0.00188734i | ||||
\(889\) | 1.17499 | − | 0.665991i | 0.0394079 | − | 0.0223366i | ||||
\(890\) | −0.198973 | + | 0.347919i | −0.00666958 | + | 0.0116623i | ||||
\(891\) | −16.5105 | − | 52.6671i | −0.553124 | − | 1.76442i | ||||
\(892\) | 8.31866 | + | 31.0457i | 0.278529 | + | 1.03949i | ||||
\(893\) | 6.04814 | − | 6.04814i | 0.202393 | − | 0.202393i | ||||
\(894\) | −0.138174 | + | 0.123765i | −0.00462123 | + | 0.00413932i | ||||
\(895\) | −0.638002 | + | 2.42073i | −0.0213260 | + | 0.0809160i | ||||
\(896\) | −1.60295 | − | 0.0127356i | −0.0535507 | − | 0.000425468i | ||||
\(897\) | −15.8916 | − | 0.874180i | −0.530607 | − | 0.0291880i | ||||
\(898\) | 0.0384413 | + | 0.143465i | 0.00128280 | + | 0.00478748i | ||||
\(899\) | −21.2137 | + | 36.7432i | −0.707517 | + | 1.22546i | ||||
\(900\) | 12.2825 | + | 27.3645i | 0.409417 | + | 0.912151i | ||||
\(901\) | 26.1230 | − | 15.0821i | 0.870285 | − | 0.502459i | ||||
\(902\) | −0.266376 | − | 0.0713753i | −0.00886935 | − | 0.00237654i | ||||
\(903\) | −23.3848 | − | 1.47281i | −0.778196 | − | 0.0490119i | ||||
\(904\) | 0.509566 | + | 0.294198i | 0.0169479 | + | 0.00978488i | ||||
\(905\) | 38.5541 | − | 10.5002i | 1.28158 | − | 0.349039i | ||||
\(906\) | 0.412650 | + | 0.460692i | 0.0137094 | + | 0.0153055i | ||||
\(907\) | 41.7447 | + | 41.7447i | 1.38611 | + | 1.38611i | 0.833321 | + | 0.552789i | \(0.186436\pi\) |
0.552789 | + | 0.833321i | \(0.313564\pi\) | |||||||
\(908\) | −5.25105 | + | 19.5972i | −0.174262 | + | 0.650356i | ||||
\(909\) | 1.84045 | + | 1.35181i | 0.0610440 | + | 0.0448367i | ||||
\(910\) | −0.251393 | + | 0.143856i | −0.00833360 | + | 0.00476879i | ||||
\(911\) | 3.88890 | + | 6.73578i | 0.128845 | + | 0.223166i | 0.923229 | − | 0.384249i | \(-0.125540\pi\) |
−0.794384 | + | 0.607415i | \(0.792206\pi\) | |||||||
\(912\) | −17.8219 | − | 35.2028i | −0.590141 | − | 1.16568i | ||||
\(913\) | 6.00827 | − | 22.4232i | 0.198845 | − | 0.742099i | ||||
\(914\) | −0.250846 | + | 0.144826i | −0.00829726 | + | 0.00479042i | ||||
\(915\) | −36.4545 | + | 7.80612i | −1.20515 | + | 0.258062i | ||||
\(916\) | 22.3531 | − | 12.9056i | 0.738567 | − | 0.426412i | ||||
\(917\) | 26.9360 | + | 7.44733i | 0.889504 | + | 0.245933i | ||||
\(918\) | 0.130133 | + | 0.347054i | 0.00429501 | + | 0.0114545i | ||||
\(919\) | 16.8827 | − | 9.74725i | 0.556910 | − | 0.321532i | −0.194994 | − | 0.980804i | \(-0.562469\pi\) |
0.751904 | + | 0.659272i | \(0.229135\pi\) | |||||||
\(920\) | 0.581113 | − | 0.158266i | 0.0191587 | − | 0.00521789i | ||||
\(921\) | 38.5702 | + | 12.6429i | 1.27093 | + | 0.416598i | ||||
\(922\) | −0.520574 | + | 0.520574i | −0.0171442 | + | 0.0171442i | ||||
\(923\) | −1.11144 | + | 0.297810i | −0.0365836 | + | 0.00980255i | ||||
\(924\) | 42.1566 | − | 37.1611i | 1.38685 | − | 1.22251i | ||||
\(925\) | −0.682712 | − | 2.46679i | −0.0224474 | − | 0.0811076i | ||||
\(926\) | −0.354547 | − | 0.614094i | −0.0116511 | − | 0.0201804i | ||||
\(927\) | 29.9306 | − | 4.58153i | 0.983051 | − | 0.150477i | ||||
\(928\) | 0.380077 | + | 1.41847i | 0.0124766 | + | 0.0465635i | ||||
\(929\) | −8.78199 | + | 15.2108i | −0.288128 | + | 0.499052i | −0.973363 | − | 0.229270i | \(-0.926366\pi\) |
0.685235 | + | 0.728322i | \(0.259699\pi\) | |||||||
\(930\) | 0.0244833 | − | 0.481049i | 0.000802839 | − | 0.0157742i | ||||
\(931\) | 0.633782 | − | 39.8824i | 0.0207714 | − | 1.30709i | ||||
\(932\) | 35.9933 | − | 9.64438i | 1.17900 | − | 0.315912i | ||||
\(933\) | −18.7503 | − | 12.2459i | −0.613859 | − | 0.400912i | ||||
\(934\) | −0.234790 | −0.00768256 | ||||||||
\(935\) | 44.6157 | − | 26.0035i | 1.45909 | − | 0.850405i | ||||
\(936\) | 0.236151 | + | 0.537895i | 0.00771883 | + | 0.0175816i | ||||
\(937\) | 9.93954 | − | 9.93954i | 0.324711 | − | 0.324711i | −0.525860 | − | 0.850571i | \(-0.676257\pi\) |
0.850571 | + | 0.525860i | \(0.176257\pi\) | |||||||
\(938\) | −0.442484 | − | 0.122339i | −0.0144476 | − | 0.00399452i | ||||
\(939\) | 33.7102 | + | 37.6348i | 1.10009 | + | 1.22817i | ||||
\(940\) | −3.33201 | + | 5.82627i | −0.108678 | + | 0.190032i | ||||
\(941\) | −33.8412 | + | 19.5382i | −1.10319 | + | 0.636928i | −0.937057 | − | 0.349175i | \(-0.886462\pi\) |
−0.166134 | + | 0.986103i | \(0.553128\pi\) | |||||||
\(942\) | 0.0116643 | + | 0.0230400i | 0.000380044 | + | 0.000750685i | ||||
\(943\) | 8.15226 | − | 2.18439i | 0.265474 | − | 0.0711335i | ||||
\(944\) | −10.1794 | −0.331310 | ||||||||
\(945\) | 30.3044 | + | 5.16152i | 0.985803 | + | 0.167904i | ||||
\(946\) | −0.593969 | −0.0193116 | ||||||||
\(947\) | 30.3638 | − | 8.13596i | 0.986691 | − | 0.264383i | 0.270831 | − | 0.962627i | \(-0.412701\pi\) |
0.715860 | + | 0.698244i | \(0.246035\pi\) | |||||||
\(948\) | 4.67034 | + | 9.22514i | 0.151686 | + | 0.299619i | ||||
\(949\) | −10.5148 | + | 6.07074i | −0.341326 | + | 0.197065i | ||||
\(950\) | 0.522419 | + | 0.135398i | 0.0169495 | + | 0.00439290i | ||||
\(951\) | 11.2143 | + | 12.5199i | 0.363648 | + | 0.405985i | ||||
\(952\) | −0.537972 | + | 0.529491i | −0.0174358 | + | 0.0171609i | ||||
\(953\) | −14.0982 | + | 14.0982i | −0.456685 | + | 0.456685i | −0.897566 | − | 0.440881i | \(-0.854666\pi\) |
0.440881 | + | 0.897566i | \(0.354666\pi\) | |||||||
\(954\) | 0.452441 | + | 0.0499275i | 0.0146483 | + | 0.00161646i | ||||
\(955\) | −19.5009 | − | 5.13962i | −0.631035 | − | 0.166314i | ||||
\(956\) | 11.5136 | 0.372376 | ||||||||
\(957\) | −57.4700 | − | 37.5337i | −1.85774 | − | 1.21329i | ||||
\(958\) | −0.111943 | + | 0.0299951i | −0.00361673 | + | 0.000969099i | ||||
\(959\) | 1.11930 | − | 0.634423i | 0.0361440 | − | 0.0204866i | ||||
\(960\) | 20.7446 | + | 22.9695i | 0.669529 | + | 0.741336i | ||||
\(961\) | 6.05382 | − | 10.4855i | 0.195284 | − | 0.338243i | ||||
\(962\) | −0.00648656 | − | 0.0242082i | −0.000209135 | − | 0.000780503i | ||||
\(963\) | 36.5446 | + | 45.6105i | 1.17763 | + | 1.46978i | ||||
\(964\) | −22.2944 | − | 38.6150i | −0.718054 | − | 1.24371i | ||||
\(965\) | −0.0824024 | − | 20.0898i | −0.00265263 | − | 0.646714i | ||||
\(966\) | 0.0984517 | − | 0.292479i | 0.00316763 | − | 0.00941035i | ||||
\(967\) | −10.3868 | + | 2.78313i | −0.334016 | + | 0.0894994i | −0.421929 | − | 0.906629i | \(-0.638647\pi\) |
0.0879129 | + | 0.996128i | \(0.471980\pi\) | |||||||
\(968\) | 1.42555 | − | 1.42555i | 0.0458189 | − | 0.0458189i | ||||
\(969\) | −35.3175 | − | 11.5767i | −1.13456 | − | 0.371897i | ||||
\(970\) | 0.0523197 | + | 0.192104i | 0.00167988 | + | 0.00616810i | ||||
\(971\) | 39.1859 | − | 22.6240i | 1.25753 | − | 0.726038i | 0.284940 | − | 0.958545i | \(-0.408026\pi\) |
0.972595 | + | 0.232508i | \(0.0746931\pi\) | |||||||
\(972\) | 8.45749 | − | 30.0020i | 0.271274 | − | 0.962316i | ||||
\(973\) | 10.8937 | + | 11.0682i | 0.349235 | + | 0.354829i | ||||
\(974\) | −0.571870 | + | 0.330169i | −0.0183239 | + | 0.0105793i | ||||
\(975\) | 21.3266 | + | 6.79740i | 0.682998 | + | 0.217691i | ||||
\(976\) | −33.3271 | + | 19.2414i | −1.06677 | + | 0.615902i | ||||
\(977\) | −6.92969 | + | 25.8620i | −0.221700 | + | 0.827398i | 0.761999 | + | 0.647578i | \(0.224218\pi\) |
−0.983700 | + | 0.179819i | \(0.942449\pi\) | |||||||
\(978\) | −0.284112 | − | 0.561194i | −0.00908490 | − | 0.0179450i | ||||
\(979\) | −29.0157 | − | 50.2567i | −0.927346 | − | 1.60621i | ||||
\(980\) | 7.74392 | + | 30.3262i | 0.247370 | + | 0.968736i | ||||
\(981\) | 10.3415 | − | 4.54021i | 0.330179 | − | 0.144958i | ||||
\(982\) | −0.0185587 | + | 0.0692621i | −0.000592233 | + | 0.00221024i | ||||
\(983\) | 30.9832 | + | 30.9832i | 0.988210 | + | 0.988210i | 0.999931 | − | 0.0117212i | \(-0.00373106\pi\) |
−0.0117212 | + | 0.999931i | \(0.503731\pi\) | |||||||
\(984\) | −0.207844 | − | 0.232041i | −0.00662582 | − | 0.00739721i | ||||
\(985\) | −21.6333 | + | 37.8274i | −0.689294 | + | 1.20528i | ||||
\(986\) | 0.399192 | + | 0.230474i | 0.0127129 | + | 0.00733978i | ||||
\(987\) | 3.05812 | + | 6.16157i | 0.0973410 | + | 0.196125i | ||||
\(988\) | −28.4468 | − | 7.62231i | −0.905015 | − | 0.242498i | ||||
\(989\) | 15.7426 | − | 9.08901i | 0.500587 | − | 0.289014i | ||||
\(990\) | 0.774911 | + | 0.0822969i | 0.0246283 | + | 0.00261557i | ||||
\(991\) | 0.427342 | − | 0.740178i | 0.0135750 | − | 0.0235125i | −0.859158 | − | 0.511710i | \(-0.829012\pi\) |
0.872733 | + | 0.488198i | \(0.162345\pi\) | |||||||
\(992\) | −0.386171 | − | 1.44121i | −0.0122609 | − | 0.0457584i | ||||
\(993\) | −3.87155 | − | 0.212969i | −0.122860 | − | 0.00675837i | ||||
\(994\) | 0.000177259 | − | 0.0223104i | 5.62231e−6 | − | 0.000707642i | ||||
\(995\) | 2.04291 | + | 0.538426i | 0.0647648 | + | 0.0170693i | ||||
\(996\) | 9.76559 | − | 8.74722i | 0.309434 | − | 0.277166i | ||||
\(997\) | 10.1102 | − | 10.1102i | 0.320195 | − | 0.320195i | −0.528647 | − | 0.848842i | \(-0.677301\pi\) |
0.848842 | + | 0.528647i | \(0.177301\pi\) | |||||||
\(998\) | 0.0239557 | + | 0.0894040i | 0.000758305 | + | 0.00283003i | ||||
\(999\) | −1.10077 | + | 2.42148i | −0.0348267 | + | 0.0766123i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 315.2.cg.e.157.19 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.22 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.22 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.22 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.19 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.22 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.19 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.19 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.22 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.19 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.22 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.19 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.22 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.19 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.22 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.19 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.22 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.22 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.22 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.22 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.19 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.22 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.22 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.19 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.19 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.19 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.19 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.19 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.22 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.19 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.19 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.22 | 160 | 3.2 | odd | 2 |