Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 269.29 | ||
Character | \(\chi\) | \(=\) | 570.269 |
Dual form | 570.2.bf.a.89.29 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642788 | − | 0.766044i | 0.454519 | − | 0.541675i | ||||
\(3\) | −0.417284 | + | 1.68103i | −0.240919 | + | 0.970545i | ||||
\(4\) | −0.173648 | − | 0.984808i | −0.0868241 | − | 0.492404i | ||||
\(5\) | −0.0444616 | + | 2.23563i | −0.0198838 | + | 0.999802i | ||||
\(6\) | 1.01952 | + | 1.40021i | 0.416218 | + | 0.571632i | ||||
\(7\) | 4.02623 | − | 2.32455i | 1.52177 | − | 0.878596i | 0.522104 | − | 0.852882i | \(-0.325147\pi\) |
0.999669 | − | 0.0257143i | \(-0.00818600\pi\) | |||||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | −2.65175 | − | 1.40294i | −0.883916 | − | 0.467645i | ||||
\(10\) | 1.68401 | + | 1.47109i | 0.532531 | + | 0.465200i | ||||
\(11\) | 0.0906937 | + | 0.0523621i | 0.0273452 | + | 0.0157878i | 0.513610 | − | 0.858024i | \(-0.328308\pi\) |
−0.486265 | + | 0.873811i | \(0.661641\pi\) | |||||||
\(12\) | 1.72796 | + | 0.119036i | 0.498818 | + | 0.0343627i | ||||
\(13\) | 1.33336 | + | 0.485303i | 0.369807 | + | 0.134599i | 0.520237 | − | 0.854022i | \(-0.325844\pi\) |
−0.150430 | + | 0.988621i | \(0.548066\pi\) | |||||||
\(14\) | 0.807307 | − | 4.57846i | 0.215762 | − | 1.22365i | ||||
\(15\) | −3.73961 | − | 1.00763i | −0.965563 | − | 0.260169i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 3.79975 | + | 3.18837i | 0.921575 | + | 0.773293i | 0.974286 | − | 0.225317i | \(-0.0723416\pi\) |
−0.0527106 | + | 0.998610i | \(0.516786\pi\) | |||||||
\(18\) | −2.77922 | + | 1.12957i | −0.655069 | + | 0.266242i | ||||
\(19\) | 3.84452 | + | 2.05419i | 0.881993 | + | 0.471262i | ||||
\(20\) | 2.20938 | − | 0.344426i | 0.494033 | − | 0.0770161i | ||||
\(21\) | 2.22756 | + | 7.73823i | 0.486093 | + | 1.68862i | ||||
\(22\) | 0.0984085 | − | 0.0358178i | 0.0209808 | − | 0.00763637i | ||||
\(23\) | 0.445860 | + | 2.52860i | 0.0929682 | + | 0.527249i | 0.995351 | + | 0.0963137i | \(0.0307052\pi\) |
−0.902383 | + | 0.430935i | \(0.858184\pi\) | |||||||
\(24\) | 1.20190 | − | 1.24718i | 0.245336 | − | 0.254579i | ||||
\(25\) | −4.99605 | − | 0.198799i | −0.999209 | − | 0.0397598i | ||||
\(26\) | 1.22883 | − | 0.709466i | 0.240993 | − | 0.139138i | ||||
\(27\) | 3.46491 | − | 3.87226i | 0.666823 | − | 0.745216i | ||||
\(28\) | −2.98838 | − | 3.56141i | −0.564751 | − | 0.673044i | ||||
\(29\) | −5.99196 | + | 5.02786i | −1.11268 | + | 0.933649i | −0.998212 | − | 0.0597776i | \(-0.980961\pi\) |
−0.114468 | + | 0.993427i | \(0.536516\pi\) | |||||||
\(30\) | −3.17567 | + | 2.21701i | −0.579795 | + | 0.404769i | ||||
\(31\) | −2.96451 | + | 1.71156i | −0.532441 | + | 0.307405i | −0.742010 | − | 0.670389i | \(-0.766127\pi\) |
0.209569 | + | 0.977794i | \(0.432794\pi\) | |||||||
\(32\) | −0.342020 | + | 0.939693i | −0.0604612 | + | 0.166116i | ||||
\(33\) | −0.125867 | + | 0.130609i | −0.0219107 | + | 0.0227362i | ||||
\(34\) | 4.88487 | − | 0.861334i | 0.837748 | − | 0.147718i | ||||
\(35\) | 5.01780 | + | 9.10450i | 0.848164 | + | 1.53894i | ||||
\(36\) | −0.921151 | + | 2.85508i | −0.153525 | + | 0.475847i | ||||
\(37\) | 4.83826 | 0.795405 | 0.397702 | − | 0.917514i | \(-0.369808\pi\) | ||||
0.397702 | + | 0.917514i | \(0.369808\pi\) | |||||||
\(38\) | 4.04481 | − | 1.62467i | 0.656154 | − | 0.263556i | ||||
\(39\) | −1.37220 | + | 2.03891i | −0.219728 | + | 0.326487i | ||||
\(40\) | 1.15632 | − | 1.91388i | 0.182830 | − | 0.302611i | ||||
\(41\) | 0.912946 | − | 0.332285i | 0.142578 | − | 0.0518942i | −0.269745 | − | 0.962932i | \(-0.586940\pi\) |
0.412324 | + | 0.911037i | \(0.364717\pi\) | |||||||
\(42\) | 7.35968 | + | 3.26763i | 1.13562 | + | 0.504206i | ||||
\(43\) | −3.52133 | − | 0.620906i | −0.536998 | − | 0.0946873i | −0.101429 | − | 0.994843i | \(-0.532342\pi\) |
−0.435569 | + | 0.900155i | \(0.643453\pi\) | |||||||
\(44\) | 0.0358178 | − | 0.0984085i | 0.00539973 | − | 0.0148356i | ||||
\(45\) | 3.25434 | − | 5.86594i | 0.485129 | − | 0.874443i | ||||
\(46\) | 2.22361 | + | 1.28380i | 0.327854 | + | 0.189286i | ||||
\(47\) | 4.06112 | − | 3.40768i | 0.592375 | − | 0.497061i | −0.296610 | − | 0.954999i | \(-0.595856\pi\) |
0.888984 | + | 0.457937i | \(0.151412\pi\) | |||||||
\(48\) | −0.182829 | − | 1.72237i | −0.0263891 | − | 0.248603i | ||||
\(49\) | 7.30704 | − | 12.6562i | 1.04386 | − | 1.80802i | ||||
\(50\) | −3.36369 | + | 3.69941i | −0.475697 | + | 0.523175i | ||||
\(51\) | −6.94533 | + | 5.05705i | −0.972541 | + | 0.708129i | ||||
\(52\) | 0.246395 | − | 1.39737i | 0.0341688 | − | 0.193781i | ||||
\(53\) | 3.46921 | − | 0.611716i | 0.476533 | − | 0.0840257i | 0.0697774 | − | 0.997563i | \(-0.477771\pi\) |
0.406756 | + | 0.913537i | \(0.366660\pi\) | |||||||
\(54\) | −0.739116 | − | 5.14332i | −0.100581 | − | 0.699917i | ||||
\(55\) | −0.121094 | + | 0.200429i | −0.0163284 | + | 0.0270259i | ||||
\(56\) | −4.64909 | −0.621261 | ||||||||
\(57\) | −5.05741 | + | 5.60559i | −0.669870 | + | 0.742478i | ||||
\(58\) | 7.82195i | 1.02707i | ||||||||
\(59\) | 1.98984 | + | 1.66967i | 0.259055 | + | 0.217373i | 0.763060 | − | 0.646328i | \(-0.223696\pi\) |
−0.504005 | + | 0.863701i | \(0.668141\pi\) | |||||||
\(60\) | −0.342947 | + | 3.85777i | −0.0442743 | + | 0.498036i | ||||
\(61\) | −2.42070 | − | 13.7285i | −0.309939 | − | 1.75775i | −0.599293 | − | 0.800530i | \(-0.704552\pi\) |
0.289354 | − | 0.957222i | \(-0.406559\pi\) | |||||||
\(62\) | −0.594418 | + | 3.37111i | −0.0754911 | + | 0.428132i | ||||
\(63\) | −13.9377 | + | 0.515565i | −1.75599 | + | 0.0649551i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −1.14424 | + | 2.95931i | −0.141925 | + | 0.367058i | ||||
\(66\) | 0.0191466 | + | 0.180374i | 0.00235678 | + | 0.0222025i | ||||
\(67\) | −5.34450 | + | 4.48457i | −0.652935 | + | 0.547877i | −0.907960 | − | 0.419057i | \(-0.862361\pi\) |
0.255025 | + | 0.966934i | \(0.417916\pi\) | |||||||
\(68\) | 2.48011 | − | 4.29568i | 0.300758 | − | 0.520928i | ||||
\(69\) | −4.43671 | − | 0.305637i | −0.534117 | − | 0.0367944i | ||||
\(70\) | 10.1998 | + | 2.00840i | 1.21911 | + | 0.240050i | ||||
\(71\) | 2.73413 | − | 15.5060i | 0.324482 | − | 1.84023i | −0.188808 | − | 0.982014i | \(-0.560462\pi\) |
0.513290 | − | 0.858215i | \(-0.328427\pi\) | |||||||
\(72\) | 1.59501 | + | 2.54085i | 0.187974 | + | 0.299442i | ||||
\(73\) | −2.57642 | − | 7.07867i | −0.301548 | − | 0.828495i | −0.994232 | − | 0.107254i | \(-0.965794\pi\) |
0.692684 | − | 0.721241i | \(-0.256428\pi\) | |||||||
\(74\) | 3.10997 | − | 3.70632i | 0.361527 | − | 0.430851i | ||||
\(75\) | 2.41896 | − | 8.31557i | 0.279317 | − | 0.960199i | ||||
\(76\) | 1.35538 | − | 4.14282i | 0.155473 | − | 0.475214i | ||||
\(77\) | 0.486872 | 0.0554842 | ||||||||
\(78\) | 0.679865 | + | 2.36175i | 0.0769795 | + | 0.267416i | ||||
\(79\) | −1.78665 | − | 4.90879i | −0.201014 | − | 0.552282i | 0.797696 | − | 0.603060i | \(-0.206052\pi\) |
−0.998710 | + | 0.0507779i | \(0.983830\pi\) | |||||||
\(80\) | −0.722849 | − | 2.11601i | −0.0808170 | − | 0.236577i | ||||
\(81\) | 5.06354 | + | 7.44047i | 0.562616 | + | 0.826719i | ||||
\(82\) | 0.332285 | − | 0.912946i | 0.0366947 | − | 0.100818i | ||||
\(83\) | 2.49077 | + | 4.31413i | 0.273397 | + | 0.473538i | 0.969729 | − | 0.244182i | \(-0.0785193\pi\) |
−0.696332 | + | 0.717719i | \(0.745186\pi\) | |||||||
\(84\) | 7.23386 | − | 3.53745i | 0.789279 | − | 0.385967i | ||||
\(85\) | −7.29695 | + | 8.35306i | −0.791465 | + | 0.906017i | ||||
\(86\) | −2.73911 | + | 2.29839i | −0.295366 | + | 0.247841i | ||||
\(87\) | −5.95164 | − | 12.1707i | −0.638083 | − | 1.30484i | ||||
\(88\) | −0.0523621 | − | 0.0906937i | −0.00558181 | − | 0.00966798i | ||||
\(89\) | −16.3079 | − | 5.93559i | −1.72863 | − | 0.629171i | −0.730101 | − | 0.683339i | \(-0.760527\pi\) |
−0.998532 | + | 0.0541685i | \(0.982749\pi\) | |||||||
\(90\) | −2.40172 | − | 6.26352i | −0.253164 | − | 0.660233i | ||||
\(91\) | 6.49653 | − | 1.14551i | 0.681021 | − | 0.120082i | ||||
\(92\) | 2.41276 | − | 0.878173i | 0.251548 | − | 0.0915558i | ||||
\(93\) | −1.64015 | − | 5.69764i | −0.170075 | − | 0.590818i | ||||
\(94\) | − | 5.30141i | − | 0.546799i | ||||||
\(95\) | −4.76332 | + | 8.50357i | −0.488707 | + | 0.872448i | ||||
\(96\) | −1.43694 | − | 0.967066i | −0.146657 | − | 0.0987007i | ||||
\(97\) | −7.91209 | − | 6.63904i | −0.803351 | − | 0.674092i | 0.145660 | − | 0.989335i | \(-0.453470\pi\) |
−0.949011 | + | 0.315243i | \(0.897914\pi\) | |||||||
\(98\) | −4.99831 | − | 13.7327i | −0.504905 | − | 1.38722i | ||||
\(99\) | −0.167036 | − | 0.266089i | −0.0167878 | − | 0.0267429i | ||||
\(100\) | 0.671776 | + | 4.95467i | 0.0671776 | + | 0.495467i | ||||
\(101\) | 0.0861922 | − | 0.236811i | 0.00857645 | − | 0.0235636i | −0.935331 | − | 0.353775i | \(-0.884898\pi\) |
0.943907 | + | 0.330211i | \(0.107120\pi\) | |||||||
\(102\) | −0.590445 | + | 8.57104i | −0.0584627 | + | 0.848660i | ||||
\(103\) | −7.45112 | + | 12.9057i | −0.734180 | + | 1.27164i | 0.220902 | + | 0.975296i | \(0.429100\pi\) |
−0.955082 | + | 0.296341i | \(0.904233\pi\) | |||||||
\(104\) | −0.912071 | − | 1.08696i | −0.0894360 | − | 0.106586i | ||||
\(105\) | −17.3988 | + | 4.63594i | −1.69795 | + | 0.452421i | ||||
\(106\) | 1.76137 | − | 3.05078i | 0.171079 | − | 0.296318i | ||||
\(107\) | −8.47883 | + | 4.89525i | −0.819679 | + | 0.473242i | −0.850306 | − | 0.526289i | \(-0.823583\pi\) |
0.0306267 | + | 0.999531i | \(0.490250\pi\) | |||||||
\(108\) | −4.41510 | − | 2.73986i | −0.424844 | − | 0.263644i | ||||
\(109\) | 9.47129 | + | 1.67004i | 0.907185 | + | 0.159961i | 0.607725 | − | 0.794148i | \(-0.292082\pi\) |
0.299460 | + | 0.954109i | \(0.403193\pi\) | |||||||
\(110\) | 0.0756997 | + | 0.221597i | 0.00721768 | + | 0.0211284i | ||||
\(111\) | −2.01893 | + | 8.13328i | −0.191628 | + | 0.771976i | ||||
\(112\) | −2.98838 | + | 3.56141i | −0.282375 | + | 0.336522i | ||||
\(113\) | 1.39050i | 0.130807i | 0.997859 | + | 0.0654036i | \(0.0208335\pi\) | ||||
−0.997859 | + | 0.0654036i | \(0.979167\pi\) | |||||||
\(114\) | 1.04329 | + | 7.47740i | 0.0977129 | + | 0.700323i | ||||
\(115\) | −5.67282 | + | 0.884351i | −0.528993 | + | 0.0824661i | ||||
\(116\) | 5.99196 | + | 5.02786i | 0.556340 | + | 0.466825i | ||||
\(117\) | −2.85488 | − | 3.15752i | −0.263934 | − | 0.291913i | ||||
\(118\) | 2.55809 | − | 0.451060i | 0.235491 | − | 0.0415235i | ||||
\(119\) | 22.7102 | + | 4.00442i | 2.08184 | + | 0.367085i | ||||
\(120\) | 2.73478 | + | 2.74244i | 0.249650 | + | 0.250349i | ||||
\(121\) | −5.49452 | − | 9.51678i | −0.499501 | − | 0.865162i | ||||
\(122\) | −12.0726 | − | 6.97013i | −1.09300 | − | 0.631046i | ||||
\(123\) | 0.177625 | + | 1.67335i | 0.0160159 | + | 0.150881i | ||||
\(124\) | 2.20034 | + | 2.62226i | 0.197596 | + | 0.235486i | ||||
\(125\) | 0.666572 | − | 11.1605i | 0.0596200 | − | 0.998221i | ||||
\(126\) | −8.56407 | + | 11.0083i | −0.762948 | + | 0.980700i | ||||
\(127\) | 3.69581 | + | 1.34517i | 0.327950 | + | 0.119364i | 0.500748 | − | 0.865593i | \(-0.333058\pi\) |
−0.172798 | + | 0.984957i | \(0.555281\pi\) | |||||||
\(128\) | 0.984808 | + | 0.173648i | 0.0870455 | + | 0.0153485i | ||||
\(129\) | 2.51316 | − | 5.66038i | 0.221271 | − | 0.498369i | ||||
\(130\) | 1.53146 | + | 2.77875i | 0.134318 | + | 0.243712i | ||||
\(131\) | −5.21813 | + | 6.21873i | −0.455910 | + | 0.543333i | −0.944210 | − | 0.329343i | \(-0.893173\pi\) |
0.488300 | + | 0.872676i | \(0.337617\pi\) | |||||||
\(132\) | 0.150482 | + | 0.101275i | 0.0130978 | + | 0.00881487i | ||||
\(133\) | 20.2540 | − | 0.666134i | 1.75624 | − | 0.0577611i | ||||
\(134\) | 6.97675i | 0.602699i | ||||||||
\(135\) | 8.50286 | + | 7.91842i | 0.731810 | + | 0.681509i | ||||
\(136\) | −1.69650 | − | 4.66108i | −0.145473 | − | 0.399685i | ||||
\(137\) | −1.52264 | − | 8.63533i | −0.130088 | − | 0.737766i | −0.978155 | − | 0.207877i | \(-0.933345\pi\) |
0.848067 | − | 0.529889i | \(-0.177767\pi\) | |||||||
\(138\) | −3.08599 | + | 3.20226i | −0.262697 | + | 0.272594i | ||||
\(139\) | 13.7768 | + | 5.01436i | 1.16854 | + | 0.425312i | 0.852139 | − | 0.523315i | \(-0.175305\pi\) |
0.316396 | + | 0.948627i | \(0.397527\pi\) | |||||||
\(140\) | 8.09485 | − | 6.52255i | 0.684140 | − | 0.551256i | ||||
\(141\) | 4.03379 | + | 8.24884i | 0.339706 | + | 0.694678i | ||||
\(142\) | −10.1209 | − | 12.0616i | −0.849323 | − | 1.01218i | ||||
\(143\) | 0.0955159 | + | 0.113831i | 0.00798744 | + | 0.00951906i | ||||
\(144\) | 2.97166 | + | 0.411377i | 0.247638 | + | 0.0342815i | ||||
\(145\) | −10.9740 | − | 13.6193i | −0.911340 | − | 1.13102i | ||||
\(146\) | −7.07867 | − | 2.57642i | −0.585835 | − | 0.213226i | ||||
\(147\) | 18.2263 | + | 17.5646i | 1.50328 | + | 1.44870i | ||||
\(148\) | −0.840155 | − | 4.76475i | −0.0690603 | − | 0.391660i | ||||
\(149\) | −5.04115 | − | 13.8504i | −0.412987 | − | 1.13467i | −0.955594 | − | 0.294686i | \(-0.904785\pi\) |
0.542607 | − | 0.839986i | \(-0.317437\pi\) | |||||||
\(150\) | −4.81522 | − | 7.19817i | −0.393161 | − | 0.587728i | ||||
\(151\) | 17.8106i | 1.44941i | 0.689059 | + | 0.724705i | \(0.258024\pi\) | ||||
−0.689059 | + | 0.724705i | \(0.741976\pi\) | |||||||
\(152\) | −2.30236 | − | 3.70124i | −0.186746 | − | 0.300210i | ||||
\(153\) | −5.60290 | − | 13.7856i | −0.452968 | − | 1.11450i | ||||
\(154\) | 0.312955 | − | 0.372966i | 0.0252187 | − | 0.0300544i | ||||
\(155\) | −3.69460 | − | 6.70362i | −0.296757 | − | 0.538448i | ||||
\(156\) | 2.24622 | + | 0.997300i | 0.179841 | + | 0.0798479i | ||||
\(157\) | 17.7541 | + | 3.13052i | 1.41693 | + | 0.249843i | 0.829081 | − | 0.559129i | \(-0.188864\pi\) |
0.587848 | + | 0.808972i | \(0.299975\pi\) | |||||||
\(158\) | −4.90879 | − | 1.78665i | −0.390523 | − | 0.142139i | ||||
\(159\) | −0.419332 | + | 6.08713i | −0.0332552 | + | 0.482740i | ||||
\(160\) | −2.08559 | − | 0.806409i | −0.164881 | − | 0.0637523i | ||||
\(161\) | 7.67298 | + | 9.14430i | 0.604716 | + | 0.720672i | ||||
\(162\) | 8.95451 | + | 0.903744i | 0.703533 | + | 0.0710048i | ||||
\(163\) | 12.5756 | + | 7.26050i | 0.984993 | + | 0.568686i | 0.903774 | − | 0.428010i | \(-0.140785\pi\) |
0.0812193 | + | 0.996696i | \(0.474119\pi\) | |||||||
\(164\) | −0.485768 | − | 0.841375i | −0.0379321 | − | 0.0657004i | ||||
\(165\) | −0.286397 | − | 0.287200i | −0.0222960 | − | 0.0223585i | ||||
\(166\) | 4.90585 | + | 0.865034i | 0.380768 | + | 0.0671397i | ||||
\(167\) | −14.3743 | + | 2.53457i | −1.11232 | + | 0.196131i | −0.699464 | − | 0.714667i | \(-0.746578\pi\) |
−0.412851 | + | 0.910799i | \(0.635467\pi\) | |||||||
\(168\) | 1.93999 | − | 7.81528i | 0.149674 | − | 0.602962i | ||||
\(169\) | −8.41625 | − | 7.06207i | −0.647404 | − | 0.543236i | ||||
\(170\) | 1.70843 | + | 10.9590i | 0.131031 | + | 0.840519i | ||||
\(171\) | −7.31280 | − | 10.8408i | −0.559224 | − | 0.829016i | ||||
\(172\) | 3.57565i | 0.272641i | ||||||||
\(173\) | −2.45142 | + | 2.92149i | −0.186378 | + | 0.222117i | −0.851140 | − | 0.524938i | \(-0.824088\pi\) |
0.664762 | + | 0.747055i | \(0.268533\pi\) | |||||||
\(174\) | −13.1490 | − | 3.26397i | −0.996821 | − | 0.247441i | ||||
\(175\) | −20.5774 | + | 10.8131i | −1.55550 | + | 0.817396i | ||||
\(176\) | −0.103133 | − | 0.0181851i | −0.00777395 | − | 0.00137076i | ||||
\(177\) | −3.63711 | + | 2.64826i | −0.273382 | + | 0.199055i | ||||
\(178\) | −15.0294 | + | 8.67725i | −1.12650 | + | 0.650387i | ||||
\(179\) | 12.0121 | − | 20.8056i | 0.897830 | − | 1.55509i | 0.0675672 | − | 0.997715i | \(-0.478476\pi\) |
0.830263 | − | 0.557372i | \(-0.188190\pi\) | |||||||
\(180\) | −6.34193 | − | 2.18629i | −0.472700 | − | 0.162956i | ||||
\(181\) | −2.84819 | − | 3.39434i | −0.211704 | − | 0.252299i | 0.649734 | − | 0.760162i | \(-0.274880\pi\) |
−0.861438 | + | 0.507863i | \(0.830436\pi\) | |||||||
\(182\) | 3.29837 | − | 5.71295i | 0.244492 | − | 0.423472i | ||||
\(183\) | 24.0882 | + | 1.65939i | 1.78065 | + | 0.122666i | ||||
\(184\) | 0.878173 | − | 2.41276i | 0.0647398 | − | 0.177871i | ||||
\(185\) | −0.215117 | + | 10.8165i | −0.0158157 | + | 0.795248i | ||||
\(186\) | −5.41891 | − | 2.40595i | −0.397334 | − | 0.176413i | ||||
\(187\) | 0.177664 | + | 0.488128i | 0.0129921 | + | 0.0356954i | ||||
\(188\) | −4.06112 | − | 3.40768i | −0.296187 | − | 0.248531i | ||||
\(189\) | 4.94931 | − | 23.6450i | 0.360010 | − | 1.71992i | ||||
\(190\) | 3.45231 | + | 9.11491i | 0.250457 | + | 0.661265i | ||||
\(191\) | 8.06560i | 0.583606i | 0.956478 | + | 0.291803i | \(0.0942552\pi\) | ||||
−0.956478 | + | 0.291803i | \(0.905745\pi\) | |||||||
\(192\) | −1.66446 | + | 0.479138i | −0.120122 | + | 0.0345788i | ||||
\(193\) | −16.0842 | + | 5.85417i | −1.15777 | + | 0.421392i | −0.848299 | − | 0.529518i | \(-0.822373\pi\) |
−0.309467 | + | 0.950910i | \(0.600151\pi\) | |||||||
\(194\) | −10.1716 | + | 1.79353i | −0.730278 | + | 0.128768i | ||||
\(195\) | −4.49724 | − | 3.15838i | −0.322054 | − | 0.226176i | ||||
\(196\) | −13.7327 | − | 4.99831i | −0.980910 | − | 0.357022i | ||||
\(197\) | −11.8521 | − | 20.5284i | −0.844424 | − | 1.46258i | −0.886121 | − | 0.463455i | \(-0.846610\pi\) |
0.0416969 | − | 0.999130i | \(-0.486724\pi\) | |||||||
\(198\) | −0.311205 | − | 0.0430811i | −0.0221163 | − | 0.00306164i | ||||
\(199\) | −4.91779 | + | 4.12652i | −0.348613 | + | 0.292521i | −0.800233 | − | 0.599689i | \(-0.795291\pi\) |
0.451620 | + | 0.892211i | \(0.350846\pi\) | |||||||
\(200\) | 4.22730 | + | 2.67019i | 0.298916 | + | 0.188811i | ||||
\(201\) | −5.30854 | − | 10.8556i | −0.374435 | − | 0.765696i | ||||
\(202\) | −0.126005 | − | 0.218246i | −0.00886566 | − | 0.0153558i | ||||
\(203\) | −12.4376 | + | 34.1719i | −0.872946 | + | 2.39840i | ||||
\(204\) | 6.18627 | + | 5.96167i | 0.433126 | + | 0.417400i | ||||
\(205\) | 0.702274 | + | 2.05578i | 0.0490489 | + | 0.143582i | ||||
\(206\) | 5.09686 | + | 14.0035i | 0.355115 | + | 0.975671i | ||||
\(207\) | 2.36515 | − | 7.33072i | 0.164389 | − | 0.509520i | ||||
\(208\) | −1.41893 | −0.0983852 | ||||||||
\(209\) | 0.241112 | + | 0.387609i | 0.0166781 | + | 0.0268114i | ||||
\(210\) | −7.63242 | + | 16.3082i | −0.526687 | + | 1.12537i | ||||
\(211\) | −4.41320 | + | 5.25944i | −0.303817 | + | 0.362075i | −0.896254 | − | 0.443542i | \(-0.853722\pi\) |
0.592437 | + | 0.805617i | \(0.298166\pi\) | |||||||
\(212\) | −1.20485 | − | 3.31029i | −0.0827491 | − | 0.227351i | ||||
\(213\) | 24.9253 | + | 11.0666i | 1.70785 | + | 0.758271i | ||||
\(214\) | −1.70010 | + | 9.64177i | −0.116217 | + | 0.659098i | ||||
\(215\) | 1.54468 | − | 7.84478i | 0.105346 | − | 0.535009i | ||||
\(216\) | −4.93683 | + | 1.62101i | −0.335909 | + | 0.110296i | ||||
\(217\) | −7.95719 | + | 13.7823i | −0.540169 | + | 0.935601i | ||||
\(218\) | 7.36735 | − | 6.18194i | 0.498980 | − | 0.418694i | ||||
\(219\) | 12.9746 | − | 1.37724i | 0.876741 | − | 0.0930654i | ||||
\(220\) | 0.218412 | + | 0.0844505i | 0.0147253 | + | 0.00569365i | ||||
\(221\) | 3.51911 | + | 6.09527i | 0.236721 | + | 0.410012i | ||||
\(222\) | 4.93271 | + | 6.77456i | 0.331062 | + | 0.454678i | ||||
\(223\) | 2.42000 | − | 13.7245i | 0.162055 | − | 0.919061i | −0.789994 | − | 0.613115i | \(-0.789916\pi\) |
0.952049 | − | 0.305946i | \(-0.0989727\pi\) | |||||||
\(224\) | 0.807307 | + | 4.57846i | 0.0539404 | + | 0.305911i | ||||
\(225\) | 12.9694 | + | 7.53630i | 0.864624 | + | 0.502420i | ||||
\(226\) | 1.06518 | + | 0.893796i | 0.0708550 | + | 0.0594544i | ||||
\(227\) | − | 1.58854i | − | 0.105435i | −0.998609 | − | 0.0527176i | \(-0.983212\pi\) | ||
0.998609 | − | 0.0527176i | \(-0.0167883\pi\) | |||||||
\(228\) | 6.39864 | + | 4.00718i | 0.423760 | + | 0.265382i | ||||
\(229\) | 16.9141 | 1.11771 | 0.558857 | − | 0.829264i | \(-0.311240\pi\) | ||||
0.558857 | + | 0.829264i | \(0.311240\pi\) | |||||||
\(230\) | −2.96897 | + | 4.91408i | −0.195768 | + | 0.324025i | ||||
\(231\) | −0.203164 | + | 0.818449i | −0.0133672 | + | 0.0538500i | ||||
\(232\) | 7.70312 | − | 1.35827i | 0.505735 | − | 0.0891747i | ||||
\(233\) | −2.53356 | + | 14.3685i | −0.165979 | + | 0.941314i | 0.782070 | + | 0.623190i | \(0.214164\pi\) |
−0.948049 | + | 0.318124i | \(0.896947\pi\) | |||||||
\(234\) | −4.25388 | + | 0.157354i | −0.278085 | + | 0.0102865i | ||||
\(235\) | 7.43774 | + | 9.23065i | 0.485185 | + | 0.602141i | ||||
\(236\) | 1.29878 | − | 2.24955i | 0.0845431 | − | 0.146433i | ||||
\(237\) | 8.99739 | − | 0.955067i | 0.584443 | − | 0.0620383i | ||||
\(238\) | 17.6654 | − | 14.8230i | 1.14508 | − | 0.960834i | ||||
\(239\) | −15.6740 | − | 9.04939i | −1.01387 | − | 0.585356i | −0.101546 | − | 0.994831i | \(-0.532379\pi\) |
−0.912322 | + | 0.409474i | \(0.865712\pi\) | |||||||
\(240\) | 3.85871 | − | 0.332157i | 0.249079 | − | 0.0214407i | ||||
\(241\) | 8.06391 | − | 22.1554i | 0.519442 | − | 1.42716i | −0.351695 | − | 0.936115i | \(-0.614394\pi\) |
0.871137 | − | 0.491041i | \(-0.163383\pi\) | |||||||
\(242\) | −10.8221 | − | 1.90823i | −0.695670 | − | 0.122665i | ||||
\(243\) | −14.6206 | + | 5.40719i | −0.937913 | + | 0.346872i | ||||
\(244\) | −13.0996 | + | 4.76785i | −0.838614 | + | 0.305230i | ||||
\(245\) | 27.9696 | + | 16.8985i | 1.78691 | + | 1.07961i | ||||
\(246\) | 1.39604 | + | 0.939540i | 0.0890080 | + | 0.0599029i | ||||
\(247\) | 4.12922 | + | 4.60472i | 0.262736 | + | 0.292992i | ||||
\(248\) | 3.42312 | 0.217368 | ||||||||
\(249\) | −8.29156 | + | 2.38684i | −0.525456 | + | 0.151260i | ||||
\(250\) | −8.12094 | − | 7.68442i | −0.513613 | − | 0.486006i | ||||
\(251\) | −10.2777 | + | 1.81223i | −0.648721 | + | 0.114387i | −0.488320 | − | 0.872665i | \(-0.662390\pi\) |
−0.160401 | + | 0.987052i | \(0.551279\pi\) | |||||||
\(252\) | 2.92800 | + | 13.6365i | 0.184446 | + | 0.859017i | ||||
\(253\) | −0.0919659 | + | 0.252674i | −0.00578184 | + | 0.0158855i | ||||
\(254\) | 3.40608 | − | 1.96650i | 0.213716 | − | 0.123389i | ||||
\(255\) | −10.9969 | − | 15.7520i | −0.688651 | − | 0.986429i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −6.00519 | − | 7.15671i | −0.374593 | − | 0.446423i | 0.545507 | − | 0.838107i | \(-0.316337\pi\) |
−0.920100 | + | 0.391683i | \(0.871893\pi\) | |||||||
\(258\) | −2.72068 | − | 5.56362i | −0.169382 | − | 0.346376i | ||||
\(259\) | 19.4800 | − | 11.2468i | 1.21043 | − | 0.698840i | ||||
\(260\) | 3.11305 | + | 0.612976i | 0.193063 | + | 0.0380152i | ||||
\(261\) | 22.9429 | − | 4.92626i | 1.42013 | − | 0.304928i | ||||
\(262\) | 1.40967 | + | 7.99464i | 0.0870897 | + | 0.493910i | ||||
\(263\) | 12.1414 | − | 4.41912i | 0.748672 | − | 0.272494i | 0.0606254 | − | 0.998161i | \(-0.480691\pi\) |
0.688047 | + | 0.725666i | \(0.258468\pi\) | |||||||
\(264\) | 0.174309 | − | 0.0501773i | 0.0107280 | − | 0.00308820i | ||||
\(265\) | 1.21332 | + | 7.78306i | 0.0745338 | + | 0.478110i | ||||
\(266\) | 12.5087 | − | 15.9436i | 0.766959 | − | 0.977567i | ||||
\(267\) | 16.7829 | − | 24.9373i | 1.02710 | − | 1.52614i | ||||
\(268\) | 5.34450 | + | 4.48457i | 0.326467 | + | 0.273939i | ||||
\(269\) | −26.0845 | + | 9.49400i | −1.59040 | + | 0.578859i | −0.977433 | − | 0.211247i | \(-0.932248\pi\) |
−0.612970 | + | 0.790106i | \(0.710025\pi\) | |||||||
\(270\) | 11.5314 | − | 1.42371i | 0.701778 | − | 0.0866440i | ||||
\(271\) | −0.913695 | + | 5.18182i | −0.0555030 | + | 0.314773i | −0.999902 | − | 0.0140297i | \(-0.995534\pi\) |
0.944399 | + | 0.328803i | \(0.106645\pi\) | |||||||
\(272\) | −4.66108 | − | 1.69650i | −0.282620 | − | 0.102865i | ||||
\(273\) | −0.785249 | + | 11.3989i | −0.0475254 | + | 0.689892i | ||||
\(274\) | −7.59379 | − | 4.38427i | −0.458757 | − | 0.264864i | ||||
\(275\) | −0.442701 | − | 0.279633i | −0.0266958 | − | 0.0168625i | ||||
\(276\) | 0.469432 | + | 4.42238i | 0.0282565 | + | 0.266196i | ||||
\(277\) | −12.6467 | − | 7.30156i | −0.759865 | − | 0.438708i | 0.0693823 | − | 0.997590i | \(-0.477897\pi\) |
−0.829247 | + | 0.558882i | \(0.811231\pi\) | |||||||
\(278\) | 12.6968 | − | 7.33050i | 0.761503 | − | 0.439654i | ||||
\(279\) | 10.2623 | − | 0.379609i | 0.614390 | − | 0.0227266i | ||||
\(280\) | 0.206706 | − | 10.3936i | 0.0123530 | − | 0.621138i | ||||
\(281\) | 1.01731 | + | 5.76945i | 0.0606876 | + | 0.344177i | 0.999999 | + | 0.00111193i | \(0.000353937\pi\) |
−0.939312 | + | 0.343065i | \(0.888535\pi\) | |||||||
\(282\) | 8.91185 | + | 2.21219i | 0.530693 | + | 0.131734i | ||||
\(283\) | 21.0306 | − | 25.0633i | 1.25014 | − | 1.48986i | 0.446451 | − | 0.894808i | \(-0.352688\pi\) |
0.803688 | − | 0.595051i | \(-0.202868\pi\) | |||||||
\(284\) | −15.7453 | −0.934309 | ||||||||
\(285\) | −12.3071 | − | 11.5557i | −0.729012 | − | 0.684501i | ||||
\(286\) | 0.148596 | 0.00878668 | ||||||||
\(287\) | 2.90332 | − | 3.46004i | 0.171378 | − | 0.204240i | ||||
\(288\) | 2.22528 | − | 2.01200i | 0.131126 | − | 0.118558i | ||||
\(289\) | 1.32039 | + | 7.48829i | 0.0776699 | + | 0.440488i | ||||
\(290\) | −17.4870 | − | 0.347776i | −1.02687 | − | 0.0204221i | ||||
\(291\) | 14.4620 | − | 10.5301i | 0.847779 | − | 0.617287i | ||||
\(292\) | −6.52374 | + | 3.76648i | −0.381773 | + | 0.220417i | ||||
\(293\) | 20.8904 | + | 12.0611i | 1.22043 | + | 0.704616i | 0.965010 | − | 0.262214i | \(-0.0844525\pi\) |
0.255421 | + | 0.966830i | \(0.417786\pi\) | |||||||
\(294\) | 25.1709 | − | 2.67187i | 1.46800 | − | 0.155827i | ||||
\(295\) | −3.82124 | + | 4.37430i | −0.222481 | + | 0.254682i | ||||
\(296\) | −4.19005 | − | 2.41913i | −0.243542 | − | 0.140609i | ||||
\(297\) | 0.517005 | − | 0.169759i | 0.0299997 | − | 0.00985043i | ||||
\(298\) | −13.8504 | − | 5.04115i | −0.802334 | − | 0.292026i | ||||
\(299\) | −0.632645 | + | 3.58791i | −0.0365868 | + | 0.207494i | ||||
\(300\) | −8.60928 | − | 0.938224i | −0.497057 | − | 0.0541684i | ||||
\(301\) | −15.6210 | + | 5.68559i | −0.900381 | + | 0.327712i | ||||
\(302\) | 13.6437 | + | 11.4485i | 0.785109 | + | 0.658785i | ||||
\(303\) | 0.362121 | + | 0.243710i | 0.0208033 | + | 0.0140007i | ||||
\(304\) | −4.31524 | − | 0.615400i | −0.247496 | − | 0.0352956i | ||||
\(305\) | 30.7994 | − | 4.80139i | 1.76357 | − | 0.274927i | ||||
\(306\) | −14.1618 | − | 4.56912i | −0.809578 | − | 0.261199i | ||||
\(307\) | −6.04000 | + | 2.19838i | −0.344721 | + | 0.125468i | −0.508578 | − | 0.861016i | \(-0.669829\pi\) |
0.163857 | + | 0.986484i | \(0.447606\pi\) | |||||||
\(308\) | −0.0845445 | − | 0.479476i | −0.00481737 | − | 0.0273207i | ||||
\(309\) | −18.5857 | − | 17.9109i | −1.05730 | − | 1.01892i | ||||
\(310\) | −7.51011 | − | 1.47878i | −0.426546 | − | 0.0839891i | ||||
\(311\) | −6.75652 | + | 3.90088i | −0.383127 | + | 0.221198i | −0.679178 | − | 0.733974i | \(-0.737664\pi\) |
0.296051 | + | 0.955172i | \(0.404330\pi\) | |||||||
\(312\) | 2.20782 | − | 1.07965i | 0.124993 | − | 0.0611232i | ||||
\(313\) | 20.1201 | + | 23.9782i | 1.13725 | + | 1.35533i | 0.925833 | + | 0.377933i | \(0.123365\pi\) |
0.211422 | + | 0.977395i | \(0.432191\pi\) | |||||||
\(314\) | 13.8102 | − | 11.5881i | 0.779355 | − | 0.653957i | ||||
\(315\) | −0.532916 | − | 31.1825i | −0.0300264 | − | 1.75694i | ||||
\(316\) | −4.52397 | + | 2.61191i | −0.254493 | + | 0.146932i | ||||
\(317\) | −5.96589 | + | 16.3911i | −0.335078 | + | 0.920618i | 0.651691 | + | 0.758484i | \(0.274060\pi\) |
−0.986769 | + | 0.162134i | \(0.948162\pi\) | |||||||
\(318\) | 4.39347 | + | 4.23396i | 0.246373 | + | 0.237428i | ||||
\(319\) | −0.806702 | + | 0.142243i | −0.0451667 | + | 0.00796410i | ||||
\(320\) | −1.95834 | + | 1.07931i | −0.109475 | + | 0.0603352i | ||||
\(321\) | −4.69101 | − | 16.2959i | −0.261827 | − | 0.909549i | ||||
\(322\) | 11.9370 | 0.665225 | ||||||||
\(323\) | 8.05871 | + | 20.0631i | 0.448399 | + | 1.11634i | ||||
\(324\) | 6.44816 | − | 6.27864i | 0.358231 | − | 0.348813i | ||||
\(325\) | −6.56505 | − | 2.68967i | −0.364163 | − | 0.149196i | ||||
\(326\) | 13.6453 | − | 4.96647i | 0.755742 | − | 0.275067i | ||||
\(327\) | −6.75961 | + | 15.2247i | −0.373807 | + | 0.841926i | ||||
\(328\) | −0.956777 | − | 0.168706i | −0.0528292 | − | 0.00931521i | ||||
\(329\) | 8.42969 | − | 23.1604i | 0.464744 | − | 1.27687i | ||||
\(330\) | −0.404100 | + | 0.0347849i | −0.0222450 | + | 0.00191485i | ||||
\(331\) | −0.121709 | − | 0.0702690i | −0.00668975 | − | 0.00386233i | 0.496651 | − | 0.867950i | \(-0.334563\pi\) |
−0.503341 | + | 0.864088i | \(0.667896\pi\) | |||||||
\(332\) | 3.81608 | − | 3.20207i | 0.209434 | − | 0.175736i | ||||
\(333\) | −12.8298 | − | 6.78777i | −0.703071 | − | 0.371967i | ||||
\(334\) | −7.29801 | + | 12.6405i | −0.399330 | + | 0.691659i | ||||
\(335\) | −9.78819 | − | 12.1477i | −0.534786 | − | 0.663699i | ||||
\(336\) | −4.73985 | − | 6.50969i | −0.258580 | − | 0.355133i | ||||
\(337\) | 2.54126 | − | 14.4122i | 0.138431 | − | 0.785083i | −0.833977 | − | 0.551799i | \(-0.813942\pi\) |
0.972409 | − | 0.233284i | \(-0.0749473\pi\) | |||||||
\(338\) | −10.8197 | + | 1.90781i | −0.588515 | + | 0.103771i | ||||
\(339\) | −2.33748 | − | 0.580233i | −0.126954 | − | 0.0315139i | ||||
\(340\) | 9.49326 | + | 5.73559i | 0.514844 | + | 0.311056i | ||||
\(341\) | −0.358483 | −0.0194129 | ||||||||
\(342\) | −13.0051 | − | 1.36640i | −0.703236 | − | 0.0738863i | ||||
\(343\) | − | 35.3985i | − | 1.91134i | ||||||
\(344\) | 2.73911 | + | 2.29839i | 0.147683 | + | 0.123921i | ||||
\(345\) | 0.880553 | − | 9.90523i | 0.0474074 | − | 0.533280i | ||||
\(346\) | 0.662248 | + | 3.75580i | 0.0356027 | + | 0.201913i | ||||
\(347\) | 1.52821 | − | 8.66689i | 0.0820384 | − | 0.465263i | −0.915918 | − | 0.401365i | \(-0.868536\pi\) |
0.997956 | − | 0.0638975i | \(-0.0203531\pi\) | |||||||
\(348\) | −10.9523 | + | 7.97465i | −0.587107 | + | 0.427486i | ||||
\(349\) | 3.32939 | + | 5.76668i | 0.178218 | + | 0.308683i | 0.941270 | − | 0.337654i | \(-0.109633\pi\) |
−0.763052 | + | 0.646337i | \(0.776300\pi\) | |||||||
\(350\) | −4.94354 | + | 22.7137i | −0.264243 | + | 1.21410i | ||||
\(351\) | 6.49919 | − | 3.48157i | 0.346901 | − | 0.185833i | ||||
\(352\) | −0.0802233 | + | 0.0673154i | −0.00427592 | + | 0.00358792i | ||||
\(353\) | 7.74392 | − | 13.4129i | 0.412167 | − | 0.713895i | −0.582959 | − | 0.812502i | \(-0.698105\pi\) |
0.995126 | + | 0.0986066i | \(0.0314386\pi\) | |||||||
\(354\) | −0.309202 | + | 4.48846i | −0.0164339 | + | 0.238559i | ||||
\(355\) | 34.5442 | + | 6.80193i | 1.83341 | + | 0.361009i | ||||
\(356\) | −3.01358 | + | 17.0908i | −0.159719 | + | 0.905813i | ||||
\(357\) | −16.2082 | + | 36.5056i | −0.857827 | + | 1.93208i | ||||
\(358\) | −8.21679 | − | 22.5754i | −0.434271 | − | 1.19315i | ||||
\(359\) | −6.53170 | + | 7.78418i | −0.344730 | + | 0.410833i | −0.910354 | − | 0.413830i | \(-0.864191\pi\) |
0.565624 | + | 0.824663i | \(0.308635\pi\) | |||||||
\(360\) | −5.75131 | + | 3.45288i | −0.303121 | + | 0.181983i | ||||
\(361\) | 10.5606 | + | 15.7947i | 0.555823 | + | 0.831300i | ||||
\(362\) | −4.43099 | −0.232888 | ||||||||
\(363\) | 18.2908 | − | 5.26527i | 0.960018 | − | 0.276355i | ||||
\(364\) | −2.25622 | − | 6.19891i | −0.118258 | − | 0.324911i | ||||
\(365\) | 15.9398 | − | 5.44519i | 0.834328 | − | 0.285014i | ||||
\(366\) | 16.7547 | − | 17.3860i | 0.875784 | − | 0.908779i | ||||
\(367\) | 1.30970 | − | 3.59838i | 0.0683659 | − | 0.187834i | −0.900805 | − | 0.434225i | \(-0.857022\pi\) |
0.969171 | + | 0.246391i | \(0.0792447\pi\) | |||||||
\(368\) | −1.28380 | − | 2.22361i | −0.0669228 | − | 0.115914i | ||||
\(369\) | −2.88708 | − | 0.399668i | −0.150295 | − | 0.0208059i | ||||
\(370\) | 8.14767 | + | 7.11752i | 0.423577 | + | 0.370022i | ||||
\(371\) | 12.5459 | − | 10.5273i | 0.651351 | − | 0.546548i | ||||
\(372\) | −5.32627 | + | 2.60461i | −0.276154 | + | 0.135043i | ||||
\(373\) | 5.25856 | + | 9.10809i | 0.272278 | + | 0.471599i | 0.969445 | − | 0.245310i | \(-0.0788897\pi\) |
−0.697167 | + | 0.716909i | \(0.745556\pi\) | |||||||
\(374\) | 0.488128 | + | 0.177664i | 0.0252405 | + | 0.00918679i | ||||
\(375\) | 18.4829 | + | 5.77761i | 0.954455 | + | 0.298354i | ||||
\(376\) | −5.22087 | + | 0.920580i | −0.269246 | + | 0.0474753i | ||||
\(377\) | −10.4295 | + | 3.79602i | −0.537145 | + | 0.195505i | ||||
\(378\) | −14.9317 | − | 18.9901i | −0.768006 | − | 0.976745i | ||||
\(379\) | 30.9672i | 1.59068i | 0.606164 | + | 0.795340i | \(0.292708\pi\) | ||||
−0.606164 | + | 0.795340i | \(0.707292\pi\) | |||||||
\(380\) | 9.20153 | + | 3.21433i | 0.472028 | + | 0.164892i | ||||
\(381\) | −3.80347 | + | 5.65147i | −0.194858 | + | 0.289533i | ||||
\(382\) | 6.17861 | + | 5.18447i | 0.316125 | + | 0.265260i | ||||
\(383\) | −2.05062 | − | 5.63403i | −0.104782 | − | 0.287885i | 0.876212 | − | 0.481926i | \(-0.160063\pi\) |
−0.980993 | + | 0.194041i | \(0.937840\pi\) | |||||||
\(384\) | −0.702853 | + | 1.58303i | −0.0358673 | + | 0.0807839i | ||||
\(385\) | −0.0216471 | + | 1.08846i | −0.00110324 | + | 0.0554733i | ||||
\(386\) | −5.85417 | + | 16.0842i | −0.297969 | + | 0.818664i | ||||
\(387\) | 8.46660 | + | 6.58669i | 0.430381 | + | 0.334820i | ||||
\(388\) | −5.16425 | + | 8.94475i | −0.262175 | + | 0.454101i | ||||
\(389\) | 22.0311 | + | 26.2557i | 1.11702 | + | 1.33121i | 0.937709 | + | 0.347423i | \(0.112943\pi\) |
0.179313 | + | 0.983792i | \(0.442613\pi\) | |||||||
\(390\) | −5.31023 | + | 1.41492i | −0.268894 | + | 0.0716470i | ||||
\(391\) | −6.36795 | + | 11.0296i | −0.322041 | + | 0.557791i | ||||
\(392\) | −12.6562 | + | 7.30704i | −0.639233 | + | 0.369061i | ||||
\(393\) | −8.27645 | − | 11.3668i | −0.417491 | − | 0.573381i | ||||
\(394\) | −23.3440 | − | 4.11617i | −1.17605 | − | 0.207370i | ||||
\(395\) | 11.0537 | − | 3.77604i | 0.556170 | − | 0.189993i | ||||
\(396\) | −0.233040 | + | 0.210704i | −0.0117107 | + | 0.0105883i | ||||
\(397\) | −15.4770 | + | 18.4447i | −0.776767 | + | 0.925715i | −0.998783 | − | 0.0493280i | \(-0.984292\pi\) |
0.222015 | + | 0.975043i | \(0.428736\pi\) | |||||||
\(398\) | 6.41972i | 0.321792i | ||||||||
\(399\) | −7.33186 | + | 34.3256i | −0.367052 | + | 1.71843i | ||||
\(400\) | 4.76274 | − | 1.52194i | 0.238137 | − | 0.0760969i | ||||
\(401\) | 9.20553 | + | 7.72436i | 0.459702 | + | 0.385736i | 0.843022 | − | 0.537880i | \(-0.180775\pi\) |
−0.383319 | + | 0.923616i | \(0.625219\pi\) | |||||||
\(402\) | −11.7281 | − | 2.91128i | −0.584947 | − | 0.145202i | ||||
\(403\) | −4.78337 | + | 0.843438i | −0.238277 | + | 0.0420146i | ||||
\(404\) | −0.248181 | − | 0.0437610i | −0.0123475 | − | 0.00217719i | ||||
\(405\) | −16.8592 | + | 10.9894i | −0.837742 | + | 0.546066i | ||||
\(406\) | 18.1825 | + | 31.4930i | 0.902382 | + | 1.56297i | ||||
\(407\) | 0.438800 | + | 0.253341i | 0.0217505 | + | 0.0125577i | ||||
\(408\) | 8.54336 | − | 0.906872i | 0.422959 | − | 0.0448969i | ||||
\(409\) | −17.7789 | − | 21.1881i | −0.879110 | − | 1.04768i | −0.998495 | − | 0.0548348i | \(-0.982537\pi\) |
0.119385 | − | 0.992848i | \(-0.461908\pi\) | |||||||
\(410\) | 2.02623 | + | 0.783456i | 0.100068 | + | 0.0386921i | ||||
\(411\) | 15.1517 | + | 1.04377i | 0.747376 | + | 0.0514855i | ||||
\(412\) | 14.0035 | + | 5.09686i | 0.689904 | + | 0.251104i | ||||
\(413\) | 11.8928 | + | 2.09702i | 0.585206 | + | 0.103188i | ||||
\(414\) | −4.09537 | − | 6.52391i | −0.201276 | − | 0.320633i | ||||
\(415\) | −9.75553 | + | 5.37661i | −0.478880 | + | 0.263927i | ||||
\(416\) | −0.912071 | + | 1.08696i | −0.0447180 | + | 0.0532928i | ||||
\(417\) | −14.1782 | + | 21.0669i | −0.694307 | + | 1.03165i | ||||
\(418\) | 0.451909 | + | 0.0644472i | 0.0221036 | + | 0.00315222i | ||||
\(419\) | 37.9671i | 1.85481i | 0.374054 | + | 0.927407i | \(0.377967\pi\) | ||||
−0.374054 | + | 0.927407i | \(0.622033\pi\) | |||||||
\(420\) | 7.58678 | + | 16.3295i | 0.370197 | + | 0.796797i | ||||
\(421\) | −4.75919 | − | 13.0758i | −0.231949 | − | 0.637274i | 0.768046 | − | 0.640394i | \(-0.221229\pi\) |
−0.999995 | + | 0.00312012i | \(0.999007\pi\) | |||||||
\(422\) | 1.19222 | + | 6.76141i | 0.0580363 | + | 0.329140i | ||||
\(423\) | −15.5498 | + | 3.33883i | −0.756058 | + | 0.162339i | ||||
\(424\) | −3.31029 | − | 1.20485i | −0.160762 | − | 0.0585125i | ||||
\(425\) | −18.3499 | − | 16.6846i | −0.890100 | − | 0.809323i | ||||
\(426\) | 24.4992 | − | 11.9804i | 1.18699 | − | 0.580452i | ||||
\(427\) | −41.6588 | − | 49.6470i | −2.01601 | − | 2.40259i | ||||
\(428\) | 6.29322 | + | 7.49996i | 0.304194 | + | 0.362524i | ||||
\(429\) | −0.231212 | + | 0.113065i | −0.0111630 | + | 0.00545885i | ||||
\(430\) | −5.01655 | − | 6.22582i | −0.241919 | − | 0.300236i | ||||
\(431\) | 18.0503 | + | 6.56979i | 0.869454 | + | 0.316455i | 0.737946 | − | 0.674860i | \(-0.235796\pi\) |
0.131508 | + | 0.991315i | \(0.458018\pi\) | |||||||
\(432\) | −1.93157 | + | 4.82380i | −0.0929325 | + | 0.232085i | ||||
\(433\) | 5.83374 | + | 33.0848i | 0.280352 | + | 1.58995i | 0.721431 | + | 0.692486i | \(0.243485\pi\) |
−0.441080 | + | 0.897468i | \(0.645404\pi\) | |||||||
\(434\) | 5.44304 | + | 14.9546i | 0.261274 | + | 0.717845i | ||||
\(435\) | 27.4738 | − | 12.7645i | 1.31727 | − | 0.612012i | ||||
\(436\) | − | 9.61740i | − | 0.460590i | ||||||
\(437\) | −3.48009 | + | 10.6371i | −0.166475 | + | 0.508842i | ||||
\(438\) | 7.28487 | − | 10.8244i | 0.348085 | − | 0.517209i | ||||
\(439\) | −17.0937 | + | 20.3715i | −0.815839 | + | 0.972279i | −0.999944 | − | 0.0106276i | \(-0.996617\pi\) |
0.184105 | + | 0.982907i | \(0.441061\pi\) | |||||||
\(440\) | 0.205085 | − | 0.113030i | 0.00977706 | − | 0.00538847i | ||||
\(441\) | −37.1322 | + | 23.3096i | −1.76820 | + | 1.10998i | ||||
\(442\) | 6.93129 | + | 1.22217i | 0.329688 | + | 0.0581329i | ||||
\(443\) | −28.5078 | − | 10.3760i | −1.35445 | − | 0.492979i | −0.440115 | − | 0.897941i | \(-0.645062\pi\) |
−0.914333 | + | 0.404962i | \(0.867285\pi\) | |||||||
\(444\) | 8.36030 | + | 0.575926i | 0.396762 | + | 0.0273323i | ||||
\(445\) | 13.9948 | − | 36.1944i | 0.663418 | − | 1.71578i | ||||
\(446\) | −8.95803 | − | 10.6758i | −0.424175 | − | 0.505512i | ||||
\(447\) | 25.3866 | − | 2.69477i | 1.20075 | − | 0.127458i | ||||
\(448\) | 4.02623 | + | 2.32455i | 0.190222 | + | 0.109825i | ||||
\(449\) | −2.16458 | − | 3.74916i | −0.102153 | − | 0.176934i | 0.810419 | − | 0.585851i | \(-0.199240\pi\) |
−0.912571 | + | 0.408917i | \(0.865906\pi\) | |||||||
\(450\) | 14.1097 | − | 5.09086i | 0.665137 | − | 0.239986i | ||||
\(451\) | 0.100198 | + | 0.0176675i | 0.00471812 | + | 0.000831932i | ||||
\(452\) | 1.36938 | − | 0.241458i | 0.0644100 | − | 0.0113572i | ||||
\(453\) | −29.9403 | − | 7.43209i | −1.40672 | − | 0.349190i | ||||
\(454\) | −1.21689 | − | 1.02109i | −0.0571116 | − | 0.0479223i | ||||
\(455\) | 2.27209 | + | 14.5747i | 0.106517 | + | 0.683274i | ||||
\(456\) | 7.18264 | − | 2.32588i | 0.336358 | − | 0.108919i | ||||
\(457\) | 24.4038i | 1.14156i | 0.821103 | + | 0.570781i | \(0.193359\pi\) | ||||
−0.821103 | + | 0.570781i | \(0.806641\pi\) | |||||||
\(458\) | 10.8722 | − | 12.9569i | 0.508023 | − | 0.605438i | ||||
\(459\) | 25.5120 | − | 3.66618i | 1.19080 | − | 0.171123i | ||||
\(460\) | 1.85599 | + | 5.43307i | 0.0865360 | + | 0.253318i | ||||
\(461\) | −34.5470 | − | 6.09156i | −1.60901 | − | 0.283712i | −0.704353 | − | 0.709849i | \(-0.748763\pi\) |
−0.904659 | + | 0.426137i | \(0.859874\pi\) | |||||||
\(462\) | 0.496377 | + | 0.681721i | 0.0230935 | + | 0.0317165i | ||||
\(463\) | −13.9124 | + | 8.03232i | −0.646563 | + | 0.373294i | −0.787138 | − | 0.616776i | \(-0.788438\pi\) |
0.140575 | + | 0.990070i | \(0.455105\pi\) | |||||||
\(464\) | 3.91098 | − | 6.77401i | 0.181563 | − | 0.314476i | ||||
\(465\) | 12.8107 | − | 3.41343i | 0.594083 | − | 0.158294i | ||||
\(466\) | 9.37839 | + | 11.1767i | 0.434446 | + | 0.517752i | ||||
\(467\) | 11.8739 | − | 20.5661i | 0.549457 | − | 0.951687i | −0.448855 | − | 0.893605i | \(-0.648168\pi\) |
0.998312 | − | 0.0580824i | \(-0.0184986\pi\) | |||||||
\(468\) | −2.61380 | + | 3.35981i | −0.120823 | + | 0.155307i | ||||
\(469\) | −11.0936 | + | 30.4795i | −0.512256 | + | 1.40741i | ||||
\(470\) | 11.8520 | + | 0.235709i | 0.546691 | + | 0.0108725i | ||||
\(471\) | −12.6710 | + | 28.5389i | −0.583848 | + | 1.31500i | ||||
\(472\) | −0.888415 | − | 2.44090i | −0.0408926 | − | 0.112352i | ||||
\(473\) | −0.286851 | − | 0.240696i | −0.0131894 | − | 0.0110672i | ||||
\(474\) | 5.05179 | − | 7.50631i | 0.232036 | − | 0.344776i | ||||
\(475\) | −18.7990 | − | 11.0271i | −0.862558 | − | 0.505958i | ||||
\(476\) | − | 23.0605i | − | 1.05698i | ||||||
\(477\) | −10.0577 | − | 3.24497i | −0.460510 | − | 0.148577i | ||||
\(478\) | −17.0073 | + | 6.19015i | −0.777895 | + | 0.283131i | ||||
\(479\) | 28.3407 | − | 4.99723i | 1.29492 | − | 0.228329i | 0.516616 | − | 0.856217i | \(-0.327191\pi\) |
0.778304 | + | 0.627888i | \(0.216080\pi\) | |||||||
\(480\) | 2.22589 | − | 3.16945i | 0.101597 | − | 0.144665i | ||||
\(481\) | 6.45114 | + | 2.34802i | 0.294147 | + | 0.107061i | ||||
\(482\) | −11.7886 | − | 20.4185i | −0.536958 | − | 0.930039i | ||||
\(483\) | −18.5737 | + | 9.08277i | −0.845132 | + | 0.413280i | ||||
\(484\) | −8.41809 | + | 7.06361i | −0.382640 | + | 0.321073i | ||||
\(485\) | 15.1942 | − | 17.3933i | 0.689932 | − | 0.789789i | ||||
\(486\) | −5.25580 | + | 14.6757i | −0.238408 | + | 0.665704i | ||||
\(487\) | 7.34528 | + | 12.7224i | 0.332847 | + | 0.576507i | 0.983069 | − | 0.183237i | \(-0.0586575\pi\) |
−0.650222 | + | 0.759744i | \(0.725324\pi\) | |||||||
\(488\) | −4.76785 | + | 13.0996i | −0.215830 | + | 0.592989i | ||||
\(489\) | −17.4527 | + | 18.1102i | −0.789239 | + | 0.818973i | ||||
\(490\) | 30.9235 | − | 10.5638i | 1.39698 | − | 0.477222i | ||||
\(491\) | −6.21043 | − | 17.0630i | −0.280273 | − | 0.770043i | −0.997330 | − | 0.0730283i | \(-0.976734\pi\) |
0.717057 | − | 0.697014i | \(-0.245489\pi\) | |||||||
\(492\) | 1.61708 | − | 0.465501i | 0.0729037 | − | 0.0209864i | ||||
\(493\) | −38.7986 | −1.74740 | ||||||||
\(494\) | 6.18164 | − | 0.203308i | 0.278125 | − | 0.00914726i | ||||
\(495\) | 0.602301 | − | 0.361600i | 0.0270714 | − | 0.0162527i | ||||
\(496\) | 2.20034 | − | 2.62226i | 0.0987980 | − | 0.117743i | ||||
\(497\) | −25.0363 | − | 68.7866i | −1.12303 | − | 3.08550i | ||||
\(498\) | −3.50128 | + | 7.88594i | −0.156896 | + | 0.353377i | ||||
\(499\) | −1.06610 | + | 6.04615i | −0.0477251 | + | 0.270663i | −0.999327 | − | 0.0366694i | \(-0.988325\pi\) |
0.951602 | + | 0.307332i | \(0.0994362\pi\) | |||||||
\(500\) | −11.1066 | + | 1.28155i | −0.496704 | + | 0.0573125i | ||||
\(501\) | 1.73745 | − | 25.2213i | 0.0776236 | − | 1.12680i | ||||
\(502\) | −5.21811 | + | 9.03804i | −0.232896 | + | 0.403387i | ||||
\(503\) | −2.08015 | + | 1.74545i | −0.0927493 | + | 0.0778259i | −0.687983 | − | 0.725727i | \(-0.741504\pi\) |
0.595234 | + | 0.803552i | \(0.297059\pi\) | |||||||
\(504\) | 12.3282 | + | 6.52238i | 0.549143 | + | 0.290530i | ||||
\(505\) | 0.525589 | + | 0.203223i | 0.0233884 | + | 0.00904329i | ||||
\(506\) | 0.134445 | + | 0.232866i | 0.00597681 | + | 0.0103521i | ||||
\(507\) | 15.3835 | − | 11.2011i | 0.683207 | − | 0.497459i | ||||
\(508\) | 0.682958 | − | 3.87325i | 0.0303014 | − | 0.171848i | ||||
\(509\) | −3.05486 | − | 17.3250i | −0.135404 | − | 0.767917i | −0.974577 | − | 0.224052i | \(-0.928071\pi\) |
0.839173 | − | 0.543865i | \(-0.183040\pi\) | |||||||
\(510\) | −19.1354 | − | 1.70110i | −0.847330 | − | 0.0753258i | ||||
\(511\) | −26.8280 | − | 22.5114i | −1.18680 | − | 0.995843i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 21.2753 | − | 7.76938i | 0.939326 | − | 0.343027i | ||||
\(514\) | −9.34242 | −0.412076 | ||||||||
\(515\) | −28.5211 | − | 17.2317i | −1.25679 | − | 0.759320i | ||||
\(516\) | −6.01080 | − | 1.49206i | −0.264611 | − | 0.0656844i | ||||
\(517\) | 0.546751 | − | 0.0964070i | 0.0240461 | − | 0.00423997i | ||||
\(518\) | 3.90596 | − | 22.1518i | 0.171618 | − | 0.973294i | ||||
\(519\) | −3.88819 | − | 5.34001i | −0.170672 | − | 0.234401i | ||||
\(520\) | 2.47060 | − | 1.99072i | 0.108343 | − | 0.0872989i | ||||
\(521\) | 4.11931 | − | 7.13485i | 0.180470 | − | 0.312584i | −0.761571 | − | 0.648082i | \(-0.775571\pi\) |
0.942041 | + | 0.335498i | \(0.108905\pi\) | |||||||
\(522\) | 10.9737 | − | 20.7419i | 0.480306 | − | 0.907846i | ||||
\(523\) | −11.6036 | + | 9.73660i | −0.507391 | + | 0.425752i | −0.860210 | − | 0.509940i | \(-0.829668\pi\) |
0.352819 | + | 0.935692i | \(0.385223\pi\) | |||||||
\(524\) | 7.03037 | + | 4.05898i | 0.307123 | + | 0.177318i | ||||
\(525\) | −9.59064 | − | 39.1034i | −0.418570 | − | 1.70661i | ||||
\(526\) | 4.41912 | − | 12.1414i | 0.192683 | − | 0.529391i | ||||
\(527\) | −16.7215 | − | 2.94844i | −0.728398 | − | 0.128436i | ||||
\(528\) | 0.0736056 | − | 0.165782i | 0.00320327 | − | 0.00721473i | ||||
\(529\) | 15.4179 | − | 5.61166i | 0.670344 | − | 0.243985i | ||||
\(530\) | 6.74208 | + | 4.07340i | 0.292857 | + | 0.176937i | ||||
\(531\) | −2.93411 | − | 7.21918i | −0.127330 | − | 0.313286i | ||||
\(532\) | −4.17308 | − | 19.8306i | −0.180926 | − | 0.859766i | ||||
\(533\) | 1.37854 | 0.0597113 | ||||||||
\(534\) | −8.31521 | − | 28.8859i | −0.359834 | − | 1.25001i | ||||
\(535\) | −10.5670 | − | 19.1731i | −0.456850 | − | 0.828927i | ||||
\(536\) | 6.87076 | − | 1.21150i | 0.296771 | − | 0.0523288i | ||||
\(537\) | 29.9625 | + | 28.8747i | 1.29298 | + | 1.24603i | ||||
\(538\) | −9.49400 | + | 26.0845i | −0.409315 | + | 1.12458i | ||||
\(539\) | 1.32540 | − | 0.765223i | 0.0570892 | − | 0.0329605i | ||||
\(540\) | 6.32161 | − | 9.74870i | 0.272039 | − | 0.419517i | ||||
\(541\) | −22.8092 | + | 19.1392i | −0.980642 | + | 0.822856i | −0.984186 | − | 0.177137i | \(-0.943316\pi\) |
0.00354414 | + | 0.999994i | \(0.498872\pi\) | |||||||
\(542\) | 3.38219 | + | 4.03074i | 0.145278 | + | 0.173135i | ||||
\(543\) | 6.89449 | − | 3.37150i | 0.295871 | − | 0.144685i | ||||
\(544\) | −4.29568 | + | 2.48011i | −0.184176 | + | 0.106334i | ||||
\(545\) | −4.15470 | + | 21.1000i | −0.177968 | + | 0.903825i | ||||
\(546\) | 8.22730 | + | 7.92860i | 0.352096 | + | 0.339313i | ||||
\(547\) | 2.67401 | + | 15.1651i | 0.114332 | + | 0.648411i | 0.987079 | + | 0.160237i | \(0.0512258\pi\) |
−0.872746 | + | 0.488174i | \(0.837663\pi\) | |||||||
\(548\) | −8.23974 | + | 2.99902i | −0.351984 | + | 0.128112i | ||||
\(549\) | −12.8411 | + | 39.8006i | −0.548044 | + | 1.69865i | ||||
\(550\) | −0.498774 | + | 0.159384i | −0.0212678 | + | 0.00679614i | ||||
\(551\) | −33.3644 | + | 7.02108i | −1.42137 | + | 0.299108i | ||||
\(552\) | 3.68948 | + | 2.48304i | 0.157035 | + | 0.105685i | ||||
\(553\) | −18.6042 | − | 15.6108i | −0.791132 | − | 0.663838i | ||||
\(554\) | −13.7224 | + | 4.99456i | −0.583011 | + | 0.212199i | ||||
\(555\) | −18.0932 | − | 4.87518i | −0.768013 | − | 0.206940i | ||||
\(556\) | 2.54586 | − | 14.4383i | 0.107968 | − | 0.612319i | ||||
\(557\) | 5.29473 | + | 1.92712i | 0.224345 | + | 0.0816549i | 0.451747 | − | 0.892146i | \(-0.350801\pi\) |
−0.227402 | + | 0.973801i | \(0.573023\pi\) | |||||||
\(558\) | 6.30570 | − | 8.10541i | 0.266942 | − | 0.343129i | ||||
\(559\) | −4.39387 | − | 2.53680i | −0.185841 | − | 0.107295i | ||||
\(560\) | −7.82912 | − | 6.83925i | −0.330841 | − | 0.289011i | ||||
\(561\) | −0.894696 | + | 0.0949714i | −0.0377741 | + | 0.00400969i | ||||
\(562\) | 5.07357 | + | 2.92923i | 0.214016 | + | 0.123562i | ||||
\(563\) | 18.1001 | − | 10.4501i | 0.762827 | − | 0.440418i | −0.0674831 | − | 0.997720i | \(-0.521497\pi\) |
0.830310 | + | 0.557302i | \(0.188164\pi\) | |||||||
\(564\) | 7.42307 | − | 5.40490i | 0.312567 | − | 0.227588i | ||||
\(565\) | −3.10864 | − | 0.0618238i | −0.130781 | − | 0.00260095i | ||||
\(566\) | −5.68139 | − | 32.2208i | −0.238807 | − | 1.35434i | ||||
\(567\) | 37.6827 | + | 18.1866i | 1.58253 | + | 0.763766i | ||||
\(568\) | −10.1209 | + | 12.0616i | −0.424662 | + | 0.506092i | ||||
\(569\) | 17.8675 | 0.749045 | 0.374522 | − | 0.927218i | \(-0.377807\pi\) | ||||
0.374522 | + | 0.927218i | \(0.377807\pi\) | |||||||
\(570\) | −16.7631 | + | 1.99994i | −0.702127 | + | 0.0837685i | ||||
\(571\) | 43.7370 | 1.83034 | 0.915169 | − | 0.403070i | \(-0.132057\pi\) | ||||
0.915169 | + | 0.403070i | \(0.132057\pi\) | |||||||
\(572\) | 0.0955159 | − | 0.113831i | 0.00399372 | − | 0.00475953i | ||||
\(573\) | −13.5585 | − | 3.36564i | −0.566416 | − | 0.140602i | ||||
\(574\) | −0.784328 | − | 4.44814i | −0.0327372 | − | 0.185662i | ||||
\(575\) | −1.72485 | − | 12.7216i | −0.0719314 | − | 0.530529i | ||||
\(576\) | −0.110896 | − | 2.99795i | −0.00462066 | − | 0.124915i | ||||
\(577\) | 9.66319 | − | 5.57905i | 0.402284 | − | 0.232259i | −0.285185 | − | 0.958472i | \(-0.592055\pi\) |
0.687469 | + | 0.726214i | \(0.258722\pi\) | |||||||
\(578\) | 6.58509 | + | 3.80191i | 0.273904 | + | 0.158138i | ||||
\(579\) | −3.12938 | − | 29.4809i | −0.130053 | − | 1.22519i | ||||
\(580\) | −11.5068 | + | 13.1722i | −0.477795 | + | 0.546948i | ||||
\(581\) | 20.0568 | + | 11.5798i | 0.832097 | + | 0.480411i | ||||
\(582\) | 1.22946 | − | 17.8472i | 0.0509629 | − | 0.739790i | ||||
\(583\) | 0.346667 | + | 0.126176i | 0.0143575 | + | 0.00522569i | ||||
\(584\) | −1.30808 | + | 7.41852i | −0.0541289 | + | 0.306980i | ||||
\(585\) | 7.18597 | − | 6.24206i | 0.297103 | − | 0.258078i | ||||
\(586\) | 22.6674 | − | 8.25027i | 0.936383 | − | 0.340816i | ||||
\(587\) | −15.8043 | − | 13.2614i | −0.652313 | − | 0.547356i | 0.255459 | − | 0.966820i | \(-0.417774\pi\) |
−0.907772 | + | 0.419464i | \(0.862218\pi\) | |||||||
\(588\) | 14.1328 | − | 20.9995i | 0.582826 | − | 0.866004i | ||||
\(589\) | −14.9130 | + | 0.490473i | −0.614477 | + | 0.0202096i | ||||
\(590\) | 0.894665 | + | 5.73899i | 0.0368328 | + | 0.236270i | ||||
\(591\) | 39.4545 | − | 11.3575i | 1.62294 | − | 0.467187i | ||||
\(592\) | −4.54648 | + | 1.65478i | −0.186859 | + | 0.0680111i | ||||
\(593\) | −4.71813 | − | 26.7579i | −0.193751 | − | 1.09881i | −0.914187 | − | 0.405293i | \(-0.867170\pi\) |
0.720436 | − | 0.693521i | \(-0.243942\pi\) | |||||||
\(594\) | 0.202281 | − | 0.505168i | 0.00829971 | − | 0.0207273i | ||||
\(595\) | −9.96212 | + | 50.5935i | −0.408407 | + | 2.07413i | ||||
\(596\) | −12.7646 | + | 7.36966i | −0.522860 | + | 0.301873i | ||||
\(597\) | −4.88470 | − | 9.98891i | −0.199918 | − | 0.408819i | ||||
\(598\) | 2.34184 | + | 2.79090i | 0.0957649 | + | 0.114128i | ||||
\(599\) | −30.3008 | + | 25.4254i | −1.23806 | + | 1.03885i | −0.240382 | + | 0.970678i | \(0.577273\pi\) |
−0.997673 | + | 0.0681734i | \(0.978283\pi\) | |||||||
\(600\) | −6.25266 | + | 5.99201i | −0.255264 | + | 0.244623i | ||||
\(601\) | 23.4964 | − | 13.5657i | 0.958440 | − | 0.553355i | 0.0627471 | − | 0.998029i | \(-0.480014\pi\) |
0.895692 | + | 0.444674i | \(0.146681\pi\) | |||||||
\(602\) | −5.68559 | + | 15.6210i | −0.231727 | + | 0.636666i | ||||
\(603\) | 20.4638 | − | 4.39395i | 0.833352 | − | 0.178936i | ||||
\(604\) | 17.5401 | − | 3.09279i | 0.713695 | − | 0.125844i | ||||
\(605\) | 21.5203 | − | 11.8606i | 0.874923 | − | 0.482200i | ||||
\(606\) | 0.419459 | − | 0.120747i | 0.0170394 | − | 0.00490503i | ||||
\(607\) | 39.3335 | 1.59650 | 0.798249 | − | 0.602327i | \(-0.205760\pi\) | ||||
0.798249 | + | 0.602327i | \(0.205760\pi\) | |||||||
\(608\) | −3.24521 | + | 2.91009i | −0.131610 | + | 0.118020i | ||||
\(609\) | −52.2542 | − | 35.1674i | −2.11745 | − | 1.42505i | ||||
\(610\) | 16.1194 | − | 26.6800i | 0.652654 | − | 1.08024i | ||||
\(611\) | 7.06869 | − | 2.57279i | 0.285968 | − | 0.104084i | ||||
\(612\) | −12.6032 | + | 7.91162i | −0.509454 | + | 0.319808i | ||||
\(613\) | 5.75767 | + | 1.01523i | 0.232550 | + | 0.0410049i | 0.288709 | − | 0.957417i | \(-0.406774\pi\) |
−0.0561585 | + | 0.998422i | \(0.517885\pi\) | |||||||
\(614\) | −2.19838 | + | 6.04000i | −0.0887195 | + | 0.243755i | ||||
\(615\) | −3.74888 | + | 0.322703i | −0.151169 | + | 0.0130126i | ||||
\(616\) | −0.421644 | − | 0.243436i | −0.0169885 | − | 0.00980832i | ||||
\(617\) | 18.0654 | − | 15.1587i | 0.727286 | − | 0.610265i | −0.202104 | − | 0.979364i | \(-0.564778\pi\) |
0.929390 | + | 0.369099i | \(0.120334\pi\) | |||||||
\(618\) | −25.6672 | + | 2.72456i | −1.03249 | + | 0.109598i | ||||
\(619\) | 8.89449 | − | 15.4057i | 0.357500 | − | 0.619208i | −0.630043 | − | 0.776561i | \(-0.716963\pi\) |
0.987542 | + | 0.157353i | \(0.0502959\pi\) | |||||||
\(620\) | −5.96022 | + | 4.80254i | −0.239368 | + | 0.192875i | ||||
\(621\) | 11.3362 | + | 7.03489i | 0.454908 | + | 0.282300i | ||||
\(622\) | −1.35476 | + | 7.68323i | −0.0543210 | + | 0.308069i | ||||
\(623\) | −79.4569 | + | 14.0104i | −3.18337 | + | 0.561315i | ||||
\(624\) | 0.592097 | − | 2.38527i | 0.0237028 | − | 0.0954873i | ||||
\(625\) | 24.9210 | + | 1.98642i | 0.996838 | + | 0.0794567i | ||||
\(626\) | 31.3013 | 1.25105 | ||||||||
\(627\) | −0.752195 | + | 0.243575i | −0.0300398 | + | 0.00972746i | ||||
\(628\) | − | 18.0279i | − | 0.719393i | ||||||
\(629\) | 18.3842 | + | 15.4262i | 0.733025 | + | 0.615081i | ||||
\(630\) | −24.2297 | − | 19.6355i | −0.965336 | − | 0.782297i | ||||
\(631\) | −1.34554 | − | 7.63096i | −0.0535652 | − | 0.303784i | 0.946241 | − | 0.323462i | \(-0.104847\pi\) |
−0.999806 | + | 0.0196786i | \(0.993736\pi\) | |||||||
\(632\) | −0.907108 | + | 5.14447i | −0.0360828 | + | 0.204636i | ||||
\(633\) | −6.99975 | − | 9.61341i | −0.278215 | − | 0.382099i | ||||
\(634\) | 8.72155 | + | 15.1062i | 0.346377 | + | 0.599942i | ||||
\(635\) | −3.17161 | + | 8.20264i | −0.125861 | + | 0.325512i | ||||
\(636\) | 6.06746 | − | 0.644057i | 0.240591 | − | 0.0255385i | ||||
\(637\) | 15.8850 | − | 13.3291i | 0.629386 | − | 0.528117i | ||||
\(638\) | −0.409574 | + | 0.709402i | −0.0162152 | + | 0.0280855i | ||||
\(639\) | −29.0042 | + | 37.2823i | −1.14739 | + | 1.47487i | ||||
\(640\) | −0.431998 | + | 2.19394i | −0.0170762 | + | 0.0867231i | ||||
\(641\) | 6.12309 | − | 34.7258i | 0.241847 | − | 1.37159i | −0.585854 | − | 0.810417i | \(-0.699241\pi\) |
0.827702 | − | 0.561169i | \(-0.189648\pi\) | |||||||
\(642\) | −15.4987 | − | 6.88128i | −0.611685 | − | 0.271583i | ||||
\(643\) | 7.08140 | + | 19.4560i | 0.279263 | + | 0.767269i | 0.997447 | + | 0.0714154i | \(0.0227516\pi\) |
−0.718184 | + | 0.695854i | \(0.755026\pi\) | |||||||
\(644\) | 7.67298 | − | 9.14430i | 0.302358 | − | 0.360336i | ||||
\(645\) | 12.5428 | + | 5.87015i | 0.493871 | + | 0.231137i | ||||
\(646\) | 20.5493 | + | 6.72301i | 0.808501 | + | 0.264513i | ||||
\(647\) | 39.3673 | 1.54769 | 0.773843 | − | 0.633377i | \(-0.218332\pi\) | ||||
0.773843 | + | 0.633377i | \(0.218332\pi\) | |||||||
\(648\) | −0.664920 | − | 8.97540i | −0.0261205 | − | 0.352587i | ||||
\(649\) | 0.0930385 | + | 0.255621i | 0.00365208 | + | 0.0100340i | ||||
\(650\) | −6.28033 | + | 3.30023i | −0.246335 | + | 0.129446i | ||||
\(651\) | −19.8480 | − | 19.1274i | −0.777906 | − | 0.749663i | ||||
\(652\) | 4.96647 | − | 13.6453i | 0.194502 | − | 0.534390i | ||||
\(653\) | 10.7121 | + | 18.5539i | 0.419196 | + | 0.726069i | 0.995859 | − | 0.0909135i | \(-0.0289787\pi\) |
−0.576663 | + | 0.816982i | \(0.695645\pi\) | |||||||
\(654\) | 7.31778 | + | 14.9644i | 0.286148 | + | 0.585154i | ||||
\(655\) | −13.6707 | − | 11.9423i | −0.534160 | − | 0.466624i | ||||
\(656\) | −0.744240 | + | 0.624492i | −0.0290577 | + | 0.0243823i | ||||
\(657\) | −3.09889 | + | 22.3854i | −0.120899 | + | 0.873338i | ||||
\(658\) | −12.3234 | − | 21.3447i | −0.480415 | − | 0.832104i | ||||
\(659\) | −2.57407 | − | 0.936884i | −0.100271 | − | 0.0364958i | 0.291397 | − | 0.956602i | \(-0.405880\pi\) |
−0.391669 | + | 0.920106i | \(0.628102\pi\) | |||||||
\(660\) | −0.233104 | + | 0.331918i | −0.00907356 | + | 0.0129199i | ||||
\(661\) | −35.3289 | + | 6.22944i | −1.37413 | + | 0.242297i | −0.811473 | − | 0.584390i | \(-0.801334\pi\) |
−0.562662 | + | 0.826687i | \(0.690223\pi\) | |||||||
\(662\) | −0.132062 | + | 0.0480668i | −0.00513275 | + | 0.00186817i | ||||
\(663\) | −11.7148 | + | 3.37228i | −0.454966 | + | 0.130968i | ||||
\(664\) | − | 4.98153i | − | 0.193321i | ||||||
\(665\) | 0.588703 | + | 45.3099i | 0.0228289 | + | 1.75704i | ||||
\(666\) | −13.4466 | + | 5.46514i | −0.521045 | + | 0.211770i | ||||
\(667\) | −15.3850 | − | 12.9095i | −0.595710 | − | 0.499860i | ||||
\(668\) | 4.99213 | + | 13.7158i | 0.193152 | + | 0.530679i | ||||
\(669\) | 22.0615 | + | 9.79512i | 0.852948 | + | 0.378701i | ||||
\(670\) | −15.5974 | − | 0.310197i | −0.602580 | − | 0.0119840i | ||||
\(671\) | 0.499309 | − | 1.37184i | 0.0192756 | − | 0.0529593i | ||||
\(672\) | −8.03343 | − | 0.553409i | −0.309896 | − | 0.0213482i | ||||
\(673\) | 6.79756 | − | 11.7737i | 0.262027 | − | 0.453843i | −0.704754 | − | 0.709452i | \(-0.748943\pi\) |
0.966780 | + | 0.255609i | \(0.0822759\pi\) | |||||||
\(674\) | −9.40690 | − | 11.2107i | −0.362340 | − | 0.431821i | ||||
\(675\) | −18.0807 | + | 18.6571i | −0.695925 | + | 0.718114i | ||||
\(676\) | −5.49332 | + | 9.51470i | −0.211281 | + | 0.365950i | ||||
\(677\) | −20.5592 | + | 11.8699i | −0.790155 | + | 0.456196i | −0.840017 | − | 0.542560i | \(-0.817455\pi\) |
0.0498619 | + | 0.998756i | \(0.484122\pi\) | |||||||
\(678\) | −1.94699 | + | 1.41764i | −0.0747735 | + | 0.0544443i | ||||
\(679\) | −47.2887 | − | 8.33827i | −1.81477 | − | 0.319993i | ||||
\(680\) | 10.4959 | − | 3.58549i | 0.402498 | − | 0.137497i | ||||
\(681\) | 2.67039 | + | 0.662872i | 0.102330 | + | 0.0254013i | ||||
\(682\) | −0.230428 | + | 0.274614i | −0.00882355 | + | 0.0105155i | ||||
\(683\) | 10.3244i | 0.395053i | 0.980298 | + | 0.197527i | \(0.0632909\pi\) | ||||
−0.980298 | + | 0.197527i | \(0.936709\pi\) | |||||||
\(684\) | −9.40625 | + | 9.08419i | −0.359657 | + | 0.347343i | ||||
\(685\) | 19.3731 | − | 3.02012i | 0.740207 | − | 0.115393i | ||||
\(686\) | −27.1169 | − | 22.7537i | −1.03533 | − | 0.868742i | ||||
\(687\) | −7.05798 | + | 28.4332i | −0.269279 | + | 1.08479i | ||||
\(688\) | 3.52133 | − | 0.620906i | 0.134250 | − | 0.0236718i | ||||
\(689\) | 4.92258 | + | 0.867983i | 0.187535 | + | 0.0330675i | ||||
\(690\) | −7.02184 | − | 7.04150i | −0.267317 | − | 0.268065i | ||||
\(691\) | −21.6242 | − | 37.4542i | −0.822624 | − | 1.42483i | −0.903722 | − | 0.428120i | \(-0.859176\pi\) |
0.0810981 | − | 0.996706i | \(-0.474157\pi\) | |||||||
\(692\) | 3.30279 | + | 1.90687i | 0.125553 | + | 0.0724882i | ||||
\(693\) | −1.29106 | − | 0.683051i | −0.0490434 | − | 0.0259469i | ||||
\(694\) | −5.65691 | − | 6.74164i | −0.214733 | − | 0.255909i | ||||
\(695\) | −11.8228 | + | 30.5769i | −0.448463 | + | 1.15985i | ||||
\(696\) | −0.931093 | + | 13.5160i | −0.0352930 | + | 0.512322i | ||||
\(697\) | 4.52841 | + | 1.64821i | 0.171526 | + | 0.0624303i | ||||
\(698\) | 6.55762 | + | 1.15629i | 0.248210 | + | 0.0437661i | ||||
\(699\) | −23.0968 | − | 10.2548i | −0.873600 | − | 0.387870i | ||||
\(700\) | 14.2221 | + | 18.3871i | 0.537544 | + | 0.694966i | ||||
\(701\) | −23.1763 | + | 27.6204i | −0.875355 | + | 1.04321i | 0.123351 | + | 0.992363i | \(0.460636\pi\) |
−0.998707 | + | 0.0508447i | \(0.983809\pi\) | |||||||
\(702\) | 1.51056 | − | 7.21658i | 0.0570124 | − | 0.272372i | ||||
\(703\) | 18.6008 | + | 9.93868i | 0.701541 | + | 0.374844i | ||||
\(704\) | 0.104724i | 0.00394694i | ||||||||
\(705\) | −18.6207 | + | 8.65129i | −0.701295 | + | 0.325826i | ||||
\(706\) | −5.29715 | − | 14.5538i | −0.199361 | − | 0.547740i | ||||
\(707\) | −0.203449 | − | 1.15382i | −0.00765148 | − | 0.0433937i | ||||
\(708\) | 3.23960 | + | 3.12199i | 0.121752 | + | 0.117331i | ||||
\(709\) | 20.4424 | + | 7.44043i | 0.767731 | + | 0.279431i | 0.696047 | − | 0.717996i | \(-0.254940\pi\) |
0.0716841 | + | 0.997427i | \(0.477163\pi\) | |||||||
\(710\) | 27.4151 | − | 22.0902i | 1.02887 | − | 0.829029i | ||||
\(711\) | −2.14897 | + | 15.5234i | −0.0805925 | + | 0.582175i | ||||
\(712\) | 11.1553 | + | 13.2943i | 0.418061 | + | 0.498225i | ||||
\(713\) | −5.64960 | − | 6.73293i | −0.211579 | − | 0.252150i | ||||
\(714\) | 17.5465 | + | 35.8815i | 0.656662 | + | 1.34283i | ||||
\(715\) | −0.258731 | + | 0.208477i | −0.00967600 | + | 0.00779658i | ||||
\(716\) | −22.5754 | − | 8.21679i | −0.843684 | − | 0.307076i | ||||
\(717\) | 21.7528 | − | 22.5724i | 0.812375 | − | 0.842981i | ||||
\(718\) | 1.76453 | + | 10.0071i | 0.0658517 | + | 0.373463i | ||||
\(719\) | 3.97741 | + | 10.9278i | 0.148332 | + | 0.407539i | 0.991499 | − | 0.130112i | \(-0.0415338\pi\) |
−0.843167 | + | 0.537652i | \(0.819312\pi\) | |||||||
\(720\) | −1.05181 | + | 6.62523i | −0.0391987 | + | 0.246908i | ||||
\(721\) | 69.2819i | 2.58019i | ||||||||
\(722\) | 18.8877 | + | 2.06272i | 0.702927 | + | 0.0767664i | ||||
\(723\) | 33.8790 | + | 22.8008i | 1.25998 | + | 0.847971i | ||||
\(724\) | −2.84819 | + | 3.39434i | −0.105852 | + | 0.126149i | ||||
\(725\) | 30.9357 | − | 23.9282i | 1.14892 | − | 0.888671i | ||||
\(726\) | 7.72367 | − | 17.3960i | 0.286652 | − | 0.645627i | ||||
\(727\) | 17.0160 | + | 3.00037i | 0.631087 | + | 0.111278i | 0.480037 | − | 0.877248i | \(-0.340623\pi\) |
0.151051 | + | 0.988526i | \(0.451734\pi\) | |||||||
\(728\) | −6.19891 | − | 2.25622i | −0.229747 | − | 0.0836211i | ||||
\(729\) | −2.98873 | − | 26.8341i | −0.110694 | − | 0.993855i | ||||
\(730\) | 6.07465 | − | 15.7107i | 0.224833 | − | 0.581479i | ||||
\(731\) | −11.4005 | − | 13.5866i | −0.421663 | − | 0.502519i | ||||
\(732\) | −2.54868 | − | 24.0104i | −0.0942020 | − | 0.887448i | ||||
\(733\) | −18.0954 | − | 10.4474i | −0.668370 | − | 0.385883i | 0.127089 | − | 0.991891i | \(-0.459437\pi\) |
−0.795459 | + | 0.606008i | \(0.792770\pi\) | |||||||
\(734\) | −1.91466 | − | 3.31628i | −0.0706713 | − | 0.122406i | ||||
\(735\) | −40.0782 | + | 39.9663i | −1.47831 | + | 1.47418i | ||||
\(736\) | −2.52860 | − | 0.445860i | −0.0932054 | − | 0.0164346i | ||||
\(737\) | −0.719534 | + | 0.126873i | −0.0265044 | + | 0.00467343i | ||||
\(738\) | −2.16194 | + | 1.95473i | −0.0795821 | + | 0.0719545i | ||||
\(739\) | −16.6566 | − | 13.9765i | −0.612721 | − | 0.514134i | 0.282785 | − | 0.959183i | \(-0.408742\pi\) |
−0.895506 | + | 0.445049i | \(0.853186\pi\) | |||||||
\(740\) | 10.6896 | − | 1.66642i | 0.392956 | − | 0.0612589i | ||||
\(741\) | −9.46375 | + | 5.01988i | −0.347660 | + | 0.184410i | ||||
\(742\) | − | 16.3775i | − | 0.601238i | ||||||
\(743\) | 10.9830 | − | 13.0890i | 0.402927 | − | 0.480190i | −0.525983 | − | 0.850495i | \(-0.676303\pi\) |
0.928910 | + | 0.370305i | \(0.120747\pi\) | |||||||
\(744\) | −1.42841 | + | 5.75437i | −0.0523681 | + | 0.210966i | ||||
\(745\) | 31.1885 | − | 10.6543i | 1.14266 | − | 0.390344i | ||||
\(746\) | 10.3573 | + | 1.82628i | 0.379209 | + | 0.0668648i | ||||
\(747\) | −0.552431 | − | 14.9344i | −0.0202124 | − | 0.546421i | ||||
\(748\) | 0.449861 | − | 0.259727i | 0.0164486 | − | 0.00949658i | ||||
\(749\) | −22.7585 | + | 39.4189i | −0.831577 | + | 1.44033i | ||||
\(750\) | 16.3065 | − | 10.4450i | 0.595430 | − | 0.381397i | ||||
\(751\) | 3.26720 | + | 3.89370i | 0.119222 | + | 0.142083i | 0.822354 | − | 0.568976i | \(-0.192660\pi\) |
−0.703132 | + | 0.711059i | \(0.748216\pi\) | |||||||
\(752\) | −2.65071 | + | 4.59116i | −0.0966613 | + | 0.167422i | ||||
\(753\) | 1.24229 | − | 18.0333i | 0.0452714 | − | 0.657171i | ||||
\(754\) | −3.79602 | + | 10.4295i | −0.138243 | + | 0.379819i | ||||
\(755\) | −39.8179 | − | 0.791889i | −1.44912 | − | 0.0288198i | ||||
\(756\) | −24.1452 | − | 0.768219i | −0.878152 | − | 0.0279398i | ||||
\(757\) | −7.50444 | − | 20.6183i | −0.272754 | − | 0.749385i | −0.998135 | − | 0.0610378i | \(-0.980559\pi\) |
0.725382 | − | 0.688347i | \(-0.241663\pi\) | |||||||
\(758\) | 23.7223 | + | 19.9053i | 0.861632 | + | 0.722995i | ||||
\(759\) | −0.386378 | − | 0.260035i | −0.0140246 | − | 0.00943866i | ||||
\(760\) | 8.37695 | − | 4.98265i | 0.303864 | − | 0.180740i | ||||
\(761\) | − | 42.6627i | − | 1.54652i | −0.634089 | − | 0.773260i | \(-0.718625\pi\) | ||
0.634089 | − | 0.773260i | \(-0.281375\pi\) | |||||||
\(762\) | 1.88445 | + | 6.54632i | 0.0682665 | + | 0.237148i | ||||
\(763\) | 42.0157 | − | 15.2925i | 1.52107 | − | 0.553624i | ||||
\(764\) | 7.94306 | − | 1.40058i | 0.287370 | − | 0.0506711i | ||||
\(765\) | 31.0685 | − | 11.9131i | 1.12328 | − | 0.430718i | ||||
\(766\) | −5.63403 | − | 2.05062i | −0.203566 | − | 0.0740918i | ||||
\(767\) | 1.84287 | + | 3.19195i | 0.0665423 | + | 0.115255i | ||||
\(768\) | 0.760890 | + | 1.55597i | 0.0274562 | + | 0.0561463i | ||||
\(769\) | −5.51613 | + | 4.62858i | −0.198917 | + | 0.166911i | −0.736805 | − | 0.676105i | \(-0.763667\pi\) |
0.537889 | + | 0.843016i | \(0.319222\pi\) | |||||||
\(770\) | 0.819897 | + | 0.716234i | 0.0295471 | + | 0.0258113i | ||||
\(771\) | 14.5365 | − | 7.10855i | 0.523521 | − | 0.256008i | ||||
\(772\) | 8.55822 | + | 14.8233i | 0.308017 | + | 0.533501i | ||||
\(773\) | −0.874302 | + | 2.40212i | −0.0314465 | + | 0.0863984i | −0.954422 | − | 0.298459i | \(-0.903527\pi\) |
0.922976 | + | 0.384858i | \(0.125749\pi\) | |||||||
\(774\) | 10.4879 | − | 2.25195i | 0.376981 | − | 0.0809445i | ||||
\(775\) | 15.1511 | − | 7.96168i | 0.544242 | − | 0.285992i | ||||
\(776\) | 3.53256 | + | 9.70562i | 0.126811 | + | 0.348411i | ||||
\(777\) | 10.7775 | + | 37.4396i | 0.386641 | + | 1.34314i | ||||
\(778\) | 34.2743 | 1.22879 | ||||||||
\(779\) | 4.19241 | + | 0.597884i | 0.150209 | + | 0.0214214i | ||||
\(780\) | −2.32946 | + | 4.97736i | −0.0834080 | + | 0.178218i | ||||
\(781\) | 1.05990 | − | 1.26314i | 0.0379261 | − | 0.0451986i | ||||
\(782\) | 4.35593 | + | 11.9678i | 0.155768 | + | 0.427969i | ||||
\(783\) | −1.29250 | + | 40.6235i | −0.0461903 | + | 1.45177i | ||||
\(784\) | −2.53771 | + | 14.3921i | −0.0906324 | + | 0.514002i | ||||
\(785\) | −7.78804 | + | 39.5523i | −0.277967 | + | 1.41168i | ||||
\(786\) | −14.0275 | − | 0.966330i | −0.500344 | − | 0.0344678i | ||||
\(787\) | −0.218345 | + | 0.378184i | −0.00778315 | + | 0.0134808i | −0.869891 | − | 0.493244i | \(-0.835811\pi\) |
0.862108 | + | 0.506725i | \(0.169144\pi\) | |||||||
\(788\) | −18.1584 | + | 15.2367i | −0.646866 | + | 0.542785i | ||||
\(789\) | 2.36227 | + | 22.2542i | 0.0840989 | + | 0.792269i | ||||
\(790\) | 4.21254 | − | 10.8948i | 0.149876 | − | 0.387619i | ||||
\(791\) | 3.23228 | + | 5.59848i | 0.114927 | + | 0.199059i | ||||
\(792\) | 0.0116135 | + | 0.313958i | 0.000412667 | + | 0.0111560i | ||||
\(793\) | 3.43481 | − | 19.4798i | 0.121974 | − | 0.691747i | ||||
\(794\) | 4.18108 | + | 23.7121i | 0.148381 | + | 0.841511i | ||||
\(795\) | −13.5899 | − | 1.20811i | −0.481984 | − | 0.0428473i | ||||
\(796\) | 4.91779 | + | 4.12652i | 0.174307 | + | 0.146261i | ||||
\(797\) | 14.2821i | 0.505898i | 0.967480 | + | 0.252949i | \(0.0814005\pi\) | ||||
−0.967480 | + | 0.252949i | \(0.918600\pi\) | |||||||
\(798\) | 21.5821 | + | 27.6806i | 0.763998 | + | 0.979882i | ||||
\(799\) | 26.2962 | 0.930292 | ||||||||
\(800\) | 1.89556 | − | 4.62675i | 0.0670181 | − | 0.163580i | ||||
\(801\) | 34.9172 | + | 38.6186i | 1.23374 | + | 1.36452i | ||||
\(802\) | 11.8344 | − | 2.08673i | 0.417887 | − | 0.0736848i | ||||
\(803\) | 0.136988 | − | 0.776898i | 0.00483420 | − | 0.0274161i | ||||
\(804\) | −9.76888 | + | 7.11295i | −0.344522 | + | 0.250854i | ||||
\(805\) | −20.7844 | + | 16.7473i | −0.732554 | + | 0.590266i | ||||
\(806\) | −2.42858 | + | 4.20643i | −0.0855432 | + | 0.148165i | ||||
\(807\) | −5.07507 | − | 47.8107i | −0.178651 | − | 1.68302i | ||||
\(808\) | −0.193050 | + | 0.161988i | −0.00679149 | + | 0.00569873i | ||||
\(809\) | 16.2829 | + | 9.40094i | 0.572476 | + | 0.330519i | 0.758138 | − | 0.652094i | \(-0.226109\pi\) |
−0.185661 | + | 0.982614i | \(0.559443\pi\) | |||||||
\(810\) | −2.41857 | + | 19.9788i | −0.0849797 | + | 0.701982i | ||||
\(811\) | −0.0966504 | + | 0.265545i | −0.00339386 | + | 0.00932454i | −0.941378 | − | 0.337354i | \(-0.890468\pi\) |
0.937984 | + | 0.346678i | \(0.112690\pi\) | |||||||
\(812\) | 35.8125 | + | 6.31472i | 1.25677 | + | 0.221603i | ||||
\(813\) | −8.32955 | − | 3.69824i | −0.292130 | − | 0.129703i | ||||
\(814\) | 0.476126 | − | 0.173296i | 0.0166882 | − | 0.00607401i | ||||
\(815\) | −16.7909 | + | 27.7914i | −0.588159 | + | 0.973491i | ||||
\(816\) | 4.79686 | − | 7.12752i | 0.167924 | − | 0.249513i | ||||
\(817\) | −12.2624 | − | 9.62055i | −0.429006 | − | 0.336581i | ||||
\(818\) | −27.6591 | −0.967077 | ||||||||
\(819\) | −18.8342 | − | 6.07660i | −0.658121 | − | 0.212334i | ||||
\(820\) | 1.90260 | − | 1.04859i | 0.0664416 | − | 0.0366183i | ||||
\(821\) | −5.42717 | + | 0.956956i | −0.189410 | + | 0.0333980i | −0.267548 | − | 0.963544i | \(-0.586213\pi\) |
0.0781386 | + | 0.996943i | \(0.475102\pi\) | |||||||
\(822\) | 10.5389 | − | 10.9359i | 0.367586 | − | 0.381434i | ||||
\(823\) | 1.02518 | − | 2.81666i | 0.0357355 | − | 0.0981824i | −0.920542 | − | 0.390644i | \(-0.872252\pi\) |
0.956277 | + | 0.292462i | \(0.0944745\pi\) | |||||||
\(824\) | 12.9057 | − | 7.45112i | 0.449592 | − | 0.259572i | ||||
\(825\) | 0.654804 | − | 0.627508i | 0.0227974 | − | 0.0218470i | ||||
\(826\) | 9.25096 | − | 7.76247i | 0.321882 | − | 0.270091i | ||||
\(827\) | 20.5422 | + | 24.4813i | 0.714324 | + | 0.851298i | 0.994066 | − | 0.108777i | \(-0.0346936\pi\) |
−0.279743 | + | 0.960075i | \(0.590249\pi\) | |||||||
\(828\) | −7.63005 | − | 1.05626i | −0.265163 | − | 0.0367074i | ||||
\(829\) | 32.0273 | − | 18.4910i | 1.11235 | − | 0.642217i | 0.172915 | − | 0.984937i | \(-0.444681\pi\) |
0.939438 | + | 0.342719i | \(0.111348\pi\) | |||||||
\(830\) | −2.15201 | + | 10.9292i | −0.0746975 | + | 0.379358i | ||||
\(831\) | 17.5514 | − | 18.2127i | 0.608852 | − | 0.631790i | ||||
\(832\) | 0.246395 | + | 1.39737i | 0.00854220 | + | 0.0484452i | ||||
\(833\) | 68.1174 | − | 24.7927i | 2.36013 | − | 0.859017i | ||||
\(834\) | 7.02465 | + | 24.4026i | 0.243244 | + | 0.844995i | ||||
\(835\) | −5.02725 | − | 32.2482i | −0.173975 | − | 1.11600i | ||||
\(836\) | 0.339851 | − | 0.304757i | 0.0117540 | − | 0.0105402i | ||||
\(837\) | −3.64417 | + | 17.4097i | −0.125961 | + | 0.601768i | ||||
\(838\) | 29.0845 | + | 24.4048i | 1.00471 | + | 0.843049i | ||||
\(839\) | 23.3399 | − | 8.49502i | 0.805782 | − | 0.293281i | 0.0939019 | − | 0.995581i | \(-0.470066\pi\) |
0.711880 | + | 0.702301i | \(0.247844\pi\) | |||||||
\(840\) | 17.3858 | + | 4.68458i | 0.599867 | + | 0.161633i | ||||
\(841\) | 5.58851 | − | 31.6940i | 0.192707 | − | 1.09290i | ||||
\(842\) | −13.0758 | − | 4.75919i | −0.450621 | − | 0.164013i | ||||
\(843\) | −10.1232 | − | 0.697367i | −0.348660 | − | 0.0240186i | ||||
\(844\) | 5.94588 | + | 3.43286i | 0.204666 | + | 0.118164i | ||||
\(845\) | 16.1624 | − | 18.5016i | 0.556002 | − | 0.636474i | ||||
\(846\) | −7.43754 | + | 14.0580i | −0.255708 | + | 0.483324i | ||||
\(847\) | −44.2444 | − | 25.5445i | −1.52026 | − | 0.877720i | ||||
\(848\) | −3.05078 | + | 1.76137i | −0.104764 | + | 0.0604856i | ||||
\(849\) | 33.3565 | + | 45.8117i | 1.14479 | + | 1.57225i | ||||
\(850\) | −24.5762 | + | 3.33216i | −0.842958 | + | 0.114292i | ||||
\(851\) | 2.15719 | + | 12.2340i | 0.0739474 | + | 0.419376i | ||||
\(852\) | 6.57024 | − | 26.4683i | 0.225093 | − | 0.906789i | ||||
\(853\) | −8.70427 | + | 10.3733i | −0.298029 | + | 0.355177i | −0.894190 | − | 0.447688i | \(-0.852247\pi\) |
0.596161 | + | 0.802865i | \(0.296692\pi\) | |||||||
\(854\) | −64.8096 | −2.21774 | ||||||||
\(855\) | 24.5611 | − | 15.8667i | 0.839972 | − | 0.542630i | ||||
\(856\) | 9.79051 | 0.334633 | ||||||||
\(857\) | −3.60871 | + | 4.30070i | −0.123271 | + | 0.146909i | −0.824150 | − | 0.566371i | \(-0.808347\pi\) |
0.700879 | + | 0.713280i | \(0.252791\pi\) | |||||||
\(858\) | −0.0620068 | + | 0.249795i | −0.00211688 | + | 0.00852787i | ||||
\(859\) | −8.00419 | − | 45.3940i | −0.273100 | − | 1.54882i | −0.744935 | − | 0.667138i | \(-0.767519\pi\) |
0.471835 | − | 0.881687i | \(-0.343592\pi\) | |||||||
\(860\) | −7.99383 | − | 0.158979i | −0.272587 | − | 0.00542115i | ||||
\(861\) | 4.60494 | + | 6.32440i | 0.156936 | + | 0.215535i | ||||
\(862\) | 16.6353 | − | 9.60439i | 0.566600 | − | 0.327127i | ||||
\(863\) | −32.7774 | − | 18.9240i | −1.11575 | − | 0.644181i | −0.175441 | − | 0.984490i | \(-0.556135\pi\) |
−0.940314 | + | 0.340309i | \(0.889468\pi\) | |||||||
\(864\) | 2.45366 | + | 4.58034i | 0.0834752 | + | 0.155826i | ||||
\(865\) | −6.42237 | − | 5.61036i | −0.218367 | − | 0.190758i | ||||
\(866\) | 29.0943 | + | 16.7976i | 0.988664 | + | 0.570805i | ||||
\(867\) | −13.1390 | − | 0.905126i | −0.446225 | − | 0.0307397i | ||||
\(868\) | 14.9546 | + | 5.44304i | 0.507593 | + | 0.184749i | ||||
\(869\) | 0.0949961 | − | 0.538750i | 0.00322252 | − | 0.0182758i | ||||
\(870\) | 7.88165 | − | 29.2511i | 0.267213 | − | 0.991704i | ||||
\(871\) | −9.30251 | + | 3.38584i | −0.315204 | + | 0.114725i | ||||
\(872\) | −7.36735 | − | 6.18194i | −0.249490 | − | 0.209347i | ||||
\(873\) | 11.6667 | + | 28.7052i | 0.394859 | + | 0.971524i | ||||
\(874\) | 5.91155 | + | 9.50331i | 0.199961 | + | 0.321454i | ||||
\(875\) | −23.2592 | − | 46.4841i | −0.786305 | − | 1.57145i | ||||
\(876\) | −3.60933 | − | 12.5383i | −0.121948 | − | 0.423630i | ||||
\(877\) | −31.1984 | + | 11.3553i | −1.05349 | + | 0.383441i | −0.809980 | − | 0.586457i | \(-0.800522\pi\) |
−0.243514 | + | 0.969897i | \(0.578300\pi\) | |||||||
\(878\) | 4.61785 | + | 26.1891i | 0.155845 | + | 0.883840i | ||||
\(879\) | −28.9923 | + | 30.0846i | −0.977887 | + | 1.01473i | ||||
\(880\) | 0.0452407 | − | 0.229759i | 0.00152506 | − | 0.00774516i | ||||
\(881\) | −10.6331 | + | 6.13903i | −0.358239 | + | 0.206829i | −0.668308 | − | 0.743885i | \(-0.732981\pi\) |
0.310069 | + | 0.950714i | \(0.399648\pi\) | |||||||
\(882\) | −6.01190 | + | 43.4281i | −0.202431 | + | 1.46230i | ||||
\(883\) | −1.21639 | − | 1.44963i | −0.0409346 | − | 0.0487840i | 0.745189 | − | 0.666854i | \(-0.232359\pi\) |
−0.786123 | + | 0.618070i | \(0.787915\pi\) | |||||||
\(884\) | 5.39159 | − | 4.52408i | 0.181339 | − | 0.152161i | ||||
\(885\) | −5.75881 | − | 8.24896i | −0.193580 | − | 0.277286i | ||||
\(886\) | −26.2730 | + | 15.1687i | −0.882658 | + | 0.509603i | ||||
\(887\) | −11.6872 | + | 32.1104i | −0.392419 | + | 1.07816i | 0.573474 | + | 0.819224i | \(0.305595\pi\) |
−0.965894 | + | 0.258939i | \(0.916627\pi\) | |||||||
\(888\) | 5.81508 | − | 6.03416i | 0.195141 | − | 0.202493i | ||||
\(889\) | 18.0071 | − | 3.17514i | 0.603939 | − | 0.106491i | ||||
\(890\) | −18.7308 | − | 33.9860i | −0.627859 | − | 1.13921i | ||||
\(891\) | 0.0696332 | + | 0.939941i | 0.00233280 | + | 0.0314892i | ||||
\(892\) | −13.9362 | −0.466619 | ||||||||
\(893\) | 22.6130 | − | 4.75861i | 0.756717 | − | 0.159241i | ||||
\(894\) | 14.2539 | − | 21.1795i | 0.476722 | − | 0.708347i | ||||
\(895\) | 45.9796 | + | 27.7797i | 1.53693 | + | 0.928573i | ||||
\(896\) | 4.36872 | − | 1.59008i | 0.145949 | − | 0.0531210i | ||||
\(897\) | −5.76740 | − | 2.56067i | −0.192568 | − | 0.0854984i | ||||
\(898\) | −4.26339 | − | 0.751751i | −0.142271 | − | 0.0250863i | ||||
\(899\) | 9.15775 | − | 25.1607i | 0.305428 | − | 0.839156i | ||||
\(900\) | 5.16970 | − | 14.0810i | 0.172323 | − | 0.469366i | ||||
\(901\) | 15.1325 | + | 8.73677i | 0.504138 | + | 0.291064i | ||||
\(902\) | 0.0779399 | − | 0.0653993i | 0.00259511 | − | 0.00217756i | ||||
\(903\) | −3.03927 | − | 28.6320i | −0.101140 | − | 0.952813i | ||||
\(904\) | 0.695250 | − | 1.20421i | 0.0231237 | − | 0.0400514i | ||||
\(905\) | 7.71510 | − | 6.21656i | 0.256459 | − | 0.206645i | ||||
\(906\) | −24.9386 | + | 18.1583i | −0.828528 | + | 0.603270i | ||||
\(907\) | −6.05787 | + | 34.3559i | −0.201148 | + | 1.14077i | 0.702239 | + | 0.711941i | \(0.252184\pi\) |
−0.903387 | + | 0.428826i | \(0.858927\pi\) | |||||||
\(908\) | −1.56441 | + | 0.275847i | −0.0519167 | + | 0.00915431i | ||||
\(909\) | −0.560791 | + | 0.507042i | −0.0186003 | + | 0.0168175i | ||||
\(910\) | 12.6254 | + | 7.62793i | 0.418527 | + | 0.252864i | ||||
\(911\) | 39.7431 | 1.31675 | 0.658374 | − | 0.752691i | \(-0.271245\pi\) | ||||
0.658374 | + | 0.752691i | \(0.271245\pi\) | |||||||
\(912\) | 2.83519 | − | 6.99726i | 0.0938824 | − | 0.231703i | ||||
\(913\) | 0.521687i | 0.0172653i | ||||||||
\(914\) | 18.6944 | + | 15.6865i | 0.618356 | + | 0.518862i | ||||
\(915\) | −4.78078 | + | 53.7783i | −0.158048 | + | 1.77786i | ||||
\(916\) | −2.93710 | − | 16.6571i | −0.0970445 | − | 0.550367i | ||||
\(917\) | −6.55369 | + | 37.1678i | −0.216422 | + | 1.22739i | ||||
\(918\) | 13.5903 | − | 21.8999i | 0.448548 | − | 0.722804i | ||||
\(919\) | 10.2652 | + | 17.7799i | 0.338618 | + | 0.586504i | 0.984173 | − | 0.177210i | \(-0.0567072\pi\) |
−0.645555 | + | 0.763714i | \(0.723374\pi\) | |||||||
\(920\) | 5.35498 | + | 2.07054i | 0.176549 | + | 0.0682637i | ||||
\(921\) | −1.17516 | − | 11.0708i | −0.0387228 | − | 0.364795i | ||||
\(922\) | −26.8728 | + | 22.5489i | −0.885007 | + | 0.742609i | ||||
\(923\) | 11.1707 | − | 19.3482i | 0.367689 | − | 0.636855i | ||||
\(924\) | 0.841294 | + | 0.0579553i | 0.0276765 | + | 0.00190659i | ||||
\(925\) | −24.1722 | − | 0.961840i | −0.794776 | − | 0.0316251i | ||||
\(926\) | −2.78960 | + | 15.8206i | −0.0916718 | + | 0.519897i | ||||
\(927\) | 37.8644 | − | 23.7693i | 1.24363 | − | 0.780685i | ||||
\(928\) | −2.67527 | − | 7.35023i | −0.0878199 | − | 0.241283i | ||||
\(929\) | 26.2986 | − | 31.3414i | 0.862829 | − | 1.02828i | −0.136463 | − | 0.990645i | \(-0.543573\pi\) |
0.999292 | − | 0.0376343i | \(-0.0119822\pi\) | |||||||
\(930\) | 5.61973 | − | 12.0077i | 0.184278 | − | 0.393747i | ||||
\(931\) | 54.0901 | − | 33.6468i | 1.77273 | − | 1.10273i | ||||
\(932\) | 14.5902 | 0.477918 | ||||||||
\(933\) | −3.73812 | − | 12.9857i | −0.122381 | − | 0.425133i | ||||
\(934\) | −8.12220 | − | 22.3156i | −0.265766 | − | 0.730187i | ||||
\(935\) | −1.09917 | + | 0.375487i | −0.0359467 | + | 0.0122798i | ||||
\(936\) | 0.893642 | + | 4.16193i | 0.0292096 | + | 0.136037i | ||||
\(937\) | 6.33194 | − | 17.3969i | 0.206855 | − | 0.568331i | −0.792269 | − | 0.610172i | \(-0.791100\pi\) |
0.999124 | + | 0.0418416i | \(0.0133225\pi\) | |||||||
\(938\) | 16.2178 | + | 28.0900i | 0.529529 | + | 0.917172i | ||||
\(939\) | −48.7039 | + | 23.8168i | −1.58939 | + | 0.777233i | ||||
\(940\) | 7.79887 | − | 8.92763i | 0.254371 | − | 0.291187i | ||||
\(941\) | 5.42107 | − | 4.54882i | 0.176722 | − | 0.148287i | −0.550136 | − | 0.835075i | \(-0.685424\pi\) |
0.726858 | + | 0.686788i | \(0.240980\pi\) | |||||||
\(942\) | 13.7173 | + | 28.0510i | 0.446933 | + | 0.913950i | ||||
\(943\) | 1.24726 | + | 2.16032i | 0.0406164 | + | 0.0703497i | ||||
\(944\) | −2.44090 | − | 0.888415i | −0.0794446 | − | 0.0289155i | ||||
\(945\) | 52.6412 | + | 12.1161i | 1.71242 | + | 0.394137i | ||||
\(946\) | −0.368768 | + | 0.0650238i | −0.0119897 | + | 0.00211411i | ||||
\(947\) | −25.2380 | + | 9.18589i | −0.820126 | + | 0.298501i | −0.717800 | − | 0.696250i | \(-0.754851\pi\) |
−0.102326 | + | 0.994751i | \(0.532628\pi\) | |||||||
\(948\) | −2.50294 | − | 8.69485i | −0.0812916 | − | 0.282396i | ||||
\(949\) | − | 10.6888i | − | 0.346972i | ||||||
\(950\) | −20.5310 | + | 7.31281i | −0.666114 | + | 0.237259i | ||||
\(951\) | −25.0646 | − | 16.8686i | −0.812775 | − | 0.547002i | ||||
\(952\) | −17.6654 | − | 14.8230i | −0.572539 | − | 0.480417i | ||||
\(953\) | 4.52893 | + | 12.4431i | 0.146706 | + | 0.403072i | 0.991180 | − | 0.132525i | \(-0.0423086\pi\) |
−0.844473 | + | 0.535598i | \(0.820086\pi\) | |||||||
\(954\) | −8.95074 | + | 5.61881i | −0.289791 | + | 0.181916i | ||||
\(955\) | −18.0317 | − | 0.358609i | −0.583491 | − | 0.0116043i | ||||
\(956\) | −6.19015 | + | 17.0073i | −0.200204 | + | 0.550055i | ||||
\(957\) | 0.0975079 | − | 1.41545i | 0.00315198 | − | 0.0457550i | ||||
\(958\) | 14.3890 | − | 24.9224i | 0.464886 | − | 0.805206i | ||||
\(959\) | −26.2038 | − | 31.2284i | −0.846163 | − | 1.00842i | ||||
\(960\) | −0.997170 | − | 3.74241i | −0.0321835 | − | 0.120786i | ||||
\(961\) | −9.64114 | + | 16.6989i | −0.311004 | + | 0.538676i | ||||
\(962\) | 5.94540 | − | 3.43258i | 0.191687 | − | 0.110671i | ||||
\(963\) | 29.3514 | − | 1.08573i | 0.945837 | − | 0.0349870i | ||||
\(964\) | −23.2191 | − | 4.09415i | −0.747837 | − | 0.131864i | ||||
\(965\) | −12.3726 | − | 36.2185i | −0.398288 | − | 1.16592i | ||||
\(966\) | −4.98113 | + | 20.0666i | −0.160265 | + | 0.645631i | ||||
\(967\) | 12.1671 | − | 14.5002i | 0.391268 | − | 0.466295i | −0.534069 | − | 0.845441i | \(-0.679338\pi\) |
0.925337 | + | 0.379146i | \(0.123782\pi\) | |||||||
\(968\) | 10.9890i | 0.353201i | ||||||||
\(969\) | −37.0896 | + | 5.17494i | −1.19149 | + | 0.166243i | ||||
\(970\) | −3.55741 | − | 22.8196i | −0.114222 | − | 0.732694i | ||||
\(971\) | 5.15695 | + | 4.32719i | 0.165494 | + | 0.138866i | 0.721774 | − | 0.692129i | \(-0.243327\pi\) |
−0.556279 | + | 0.830995i | \(0.687772\pi\) | |||||||
\(972\) | 7.86389 | + | 13.4595i | 0.252234 | + | 0.431715i | ||||
\(973\) | 67.1249 | − | 11.8359i | 2.15192 | − | 0.379442i | ||||
\(974\) | 14.4674 | + | 2.55099i | 0.463565 | + | 0.0817390i | ||||
\(975\) | 7.26091 | − | 9.91371i | 0.232535 | − | 0.317493i | ||||
\(976\) | 6.97013 | + | 12.0726i | 0.223108 | + | 0.386435i | ||||
\(977\) | −17.9327 | − | 10.3534i | −0.573718 | − | 0.331236i | 0.184915 | − | 0.982755i | \(-0.440799\pi\) |
−0.758633 | + | 0.651518i | \(0.774132\pi\) | |||||||
\(978\) | 2.65486 | + | 25.0106i | 0.0848930 | + | 0.799751i | ||||
\(979\) | −1.16822 | − | 1.39223i | −0.0373366 | − | 0.0444960i | ||||
\(980\) | 11.7849 | − | 30.4790i | 0.376456 | − | 0.973617i | ||||
\(981\) | −22.7725 | − | 17.7161i | −0.727070 | − | 0.565633i | ||||
\(982\) | −17.0630 | − | 6.21043i | −0.544502 | − | 0.198183i | ||||
\(983\) | −0.184591 | − | 0.0325483i | −0.00588753 | − | 0.00103813i | 0.170704 | − | 0.985322i | \(-0.445396\pi\) |
−0.176591 | + | 0.984284i | \(0.556507\pi\) | |||||||
\(984\) | 0.682847 | − | 1.53798i | 0.0217684 | − | 0.0490289i | ||||
\(985\) | 46.4207 | − | 25.5840i | 1.47909 | − | 0.815175i | ||||
\(986\) | −24.9393 | + | 29.7215i | −0.794229 | + | 0.946525i | ||||
\(987\) | 35.4158 | + | 23.8350i | 1.12730 | + | 0.758678i | ||||
\(988\) | 3.81774 | − | 4.86609i | 0.121458 | − | 0.154811i | ||||
\(989\) | − | 9.18087i | − | 0.291935i | ||||||
\(990\) | 0.110150 | − | 0.693821i | 0.00350079 | − | 0.0220511i | ||||
\(991\) | 16.4329 | + | 45.1491i | 0.522009 | + | 1.43421i | 0.868281 | + | 0.496073i | \(0.165225\pi\) |
−0.346272 | + | 0.938134i | \(0.612552\pi\) | |||||||
\(992\) | −0.594418 | − | 3.37111i | −0.0188728 | − | 0.107033i | ||||
\(993\) | 0.168912 | − | 0.175276i | 0.00536026 | − | 0.00556220i | ||||
\(994\) | −68.7866 | − | 25.0363i | −2.18178 | − | 0.794102i | ||||
\(995\) | −9.00670 | − | 11.1778i | −0.285532 | − | 0.354361i | ||||
\(996\) | 3.79040 | + | 7.75112i | 0.120103 | + | 0.245604i | ||||
\(997\) | −3.10488 | − | 3.70025i | −0.0983325 | − | 0.117188i | 0.714634 | − | 0.699499i | \(-0.246593\pi\) |
−0.812967 | + | 0.582310i | \(0.802149\pi\) | |||||||
\(998\) | 3.94634 | + | 4.70307i | 0.124919 | + | 0.148873i | ||||
\(999\) | 16.7642 | − | 18.7350i | 0.530394 | − | 0.592748i |
(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 | 570.2.bf.a.269.29 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.269.5 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.269.12 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.269.36 | yes | 240 | |
19.13 | odd | 18 | inner | 570.2.bf.a.89.36 | yes | 240 | |
57.32 | even | 18 | inner | 570.2.bf.a.89.12 | yes | 240 | |
95.89 | odd | 18 | inner | 570.2.bf.a.89.5 | ✓ | 240 | |
285.89 | even | 18 | inner | 570.2.bf.a.89.29 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.89.5 | ✓ | 240 | 95.89 | odd | 18 | inner | |
570.2.bf.a.89.12 | yes | 240 | 57.32 | even | 18 | inner | |
570.2.bf.a.89.29 | yes | 240 | 285.89 | even | 18 | inner | |
570.2.bf.a.89.36 | yes | 240 | 19.13 | odd | 18 | inner | |
570.2.bf.a.269.5 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.269.12 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.269.29 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.269.36 | yes | 240 | 15.14 | odd | 2 | inner |