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 | 89.5 | ||
Character | \(\chi\) | \(=\) | 570.89 |
Dual form | 570.2.bf.a.269.5 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
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 | ||||
\(3\) | −1.40021 | + | 1.01952i | −0.808409 | + | 0.588621i | ||||
\(4\) | −0.173648 | + | 0.984808i | −0.0868241 | + | 0.492404i | ||||
\(5\) | 0.0444616 | + | 2.23563i | 0.0198838 | + | 0.999802i | ||||
\(6\) | 1.68103 | + | 0.417284i | 0.686279 | + | 0.170355i | ||||
\(7\) | 4.02623 | + | 2.32455i | 1.52177 | + | 0.878596i | 0.999669 | + | 0.0257143i | \(0.00818600\pi\) |
0.522104 | + | 0.852882i | \(0.325147\pi\) | |||||||
\(8\) | 0.866025 | − | 0.500000i | 0.306186 | − | 0.176777i | ||||
\(9\) | 0.921151 | − | 2.85508i | 0.307050 | − | 0.951693i | ||||
\(10\) | 1.68401 | − | 1.47109i | 0.532531 | − | 0.465200i | ||||
\(11\) | −0.0906937 | + | 0.0523621i | −0.0273452 | + | 0.0157878i | −0.513610 | − | 0.858024i | \(-0.671692\pi\) |
0.486265 | + | 0.873811i | \(0.338359\pi\) | |||||||
\(12\) | −0.760890 | − | 1.55597i | −0.219650 | − | 0.449170i | ||||
\(13\) | 1.33336 | − | 0.485303i | 0.369807 | − | 0.134599i | −0.150430 | − | 0.988621i | \(-0.548066\pi\) |
0.520237 | + | 0.854022i | \(0.325844\pi\) | |||||||
\(14\) | −0.807307 | − | 4.57846i | −0.215762 | − | 1.22365i | ||||
\(15\) | −2.34152 | − | 3.08501i | −0.604579 | − | 0.796545i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −3.79975 | + | 3.18837i | −0.921575 | + | 0.773293i | −0.974286 | − | 0.225317i | \(-0.927658\pi\) |
0.0527106 | + | 0.998610i | \(0.483214\pi\) | |||||||
\(18\) | −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 | ||||
\(21\) | −8.00748 | + | 0.849989i | −1.74738 | + | 0.185483i | ||||
\(22\) | 0.0984085 | + | 0.0358178i | 0.0209808 | + | 0.00763637i | ||||
\(23\) | −0.445860 | + | 2.52860i | −0.0929682 | + | 0.527249i | 0.902383 | + | 0.430935i | \(0.141816\pi\) |
−0.995351 | + | 0.0963137i | \(0.969295\pi\) | |||||||
\(24\) | −0.702853 | + | 1.58303i | −0.143469 | + | 0.323136i | ||||
\(25\) | −4.99605 | + | 0.198799i | −0.999209 | + | 0.0397598i | ||||
\(26\) | −1.22883 | − | 0.709466i | −0.240993 | − | 0.139138i | ||||
\(27\) | 1.62101 | + | 4.93683i | 0.311964 | + | 0.950094i | ||||
\(28\) | −2.98838 | + | 3.56141i | −0.564751 | + | 0.673044i | ||||
\(29\) | 5.99196 | + | 5.02786i | 1.11268 | + | 0.933649i | 0.998212 | − | 0.0597776i | \(-0.0190392\pi\) |
0.114468 | + | 0.993427i | \(0.463484\pi\) | |||||||
\(30\) | −0.858149 | + | 3.77672i | −0.156676 | + | 0.689531i | ||||
\(31\) | −2.96451 | − | 1.71156i | −0.532441 | − | 0.307405i | 0.209569 | − | 0.977794i | \(-0.432794\pi\) |
−0.742010 | + | 0.670389i | \(0.766127\pi\) | |||||||
\(32\) | 0.342020 | + | 0.939693i | 0.0604612 | + | 0.166116i | ||||
\(33\) | 0.0736056 | − | 0.165782i | 0.0128131 | − | 0.0288589i | ||||
\(34\) | 4.88487 | + | 0.861334i | 0.837748 | + | 0.147718i | ||||
\(35\) | −5.01780 | + | 9.10450i | −0.848164 | + | 1.53894i | ||||
\(36\) | 2.65175 | + | 1.40294i | 0.441958 | + | 0.233823i | ||||
\(37\) | 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 | \(-0.413060\pi\) |
−0.412324 | + | 0.911037i | \(0.635283\pi\) | |||||||
\(42\) | 5.79824 | + | 5.58772i | 0.894688 | + | 0.862204i | ||||
\(43\) | −3.52133 | + | 0.620906i | −0.536998 | + | 0.0946873i | −0.435569 | − | 0.900155i | \(-0.643453\pi\) |
−0.101429 | + | 0.994843i | \(0.532342\pi\) | |||||||
\(44\) | −0.0358178 | − | 0.0984085i | −0.00539973 | − | 0.0148356i | ||||
\(45\) | 6.42385 | + | 1.93241i | 0.957610 | + | 0.288066i | ||||
\(46\) | 2.22361 | − | 1.28380i | 0.327854 | − | 0.189286i | ||||
\(47\) | −4.06112 | − | 3.40768i | −0.592375 | − | 0.497061i | 0.296610 | − | 0.954999i | \(-0.404144\pi\) |
−0.888984 | + | 0.457937i | \(0.848588\pi\) | |||||||
\(48\) | 1.66446 | − | 0.479138i | 0.240244 | − | 0.0691577i | ||||
\(49\) | 7.30704 | + | 12.6562i | 1.04386 | + | 1.80802i | ||||
\(50\) | 3.36369 | + | 3.69941i | 0.475697 | + | 0.523175i | ||||
\(51\) | 2.06982 | − | 8.33830i | 0.289833 | − | 1.16760i | ||||
\(52\) | 0.246395 | + | 1.39737i | 0.0341688 | + | 0.193781i | ||||
\(53\) | −3.46921 | − | 0.611716i | −0.476533 | − | 0.0840257i | −0.0697774 | − | 0.997563i | \(-0.522229\pi\) |
−0.406756 | + | 0.913537i | \(0.633340\pi\) | |||||||
\(54\) | 2.73986 | − | 4.41510i | 0.372848 | − | 0.600820i | ||||
\(55\) | −0.121094 | − | 0.200429i | −0.0163284 | − | 0.0270259i | ||||
\(56\) | 4.64909 | 0.621261 | ||||||||
\(57\) | −3.28883 | + | 6.79585i | −0.435616 | + | 0.900133i | ||||
\(58\) | − | 7.82195i | − | 1.02707i | ||||||
\(59\) | −1.98984 | + | 1.66967i | −0.259055 | + | 0.217373i | −0.763060 | − | 0.646328i | \(-0.776304\pi\) |
0.504005 | + | 0.863701i | \(0.331859\pi\) | |||||||
\(60\) | 3.44474 | − | 1.77025i | 0.444714 | − | 0.228538i | ||||
\(61\) | −2.42070 | + | 13.7285i | −0.309939 | + | 1.75775i | 0.289354 | + | 0.957222i | \(0.406559\pi\) |
−0.599293 | + | 0.800530i | \(0.704552\pi\) | |||||||
\(62\) | 0.594418 | + | 3.37111i | 0.0754911 | + | 0.428132i | ||||
\(63\) | 10.3455 | − | 9.35396i | 1.30342 | − | 1.17849i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 1.14424 | + | 2.95931i | 0.141925 | + | 0.367058i | ||||
\(66\) | −0.174309 | + | 0.0501773i | −0.0214560 | + | 0.00617640i | ||||
\(67\) | −5.34450 | − | 4.48457i | −0.652935 | − | 0.547877i | 0.255025 | − | 0.966934i | \(-0.417916\pi\) |
−0.907960 | + | 0.419057i | \(0.862361\pi\) | |||||||
\(68\) | −2.48011 | − | 4.29568i | −0.300758 | − | 0.520928i | ||||
\(69\) | −1.95366 | − | 3.99512i | −0.235194 | − | 0.480956i | ||||
\(70\) | 10.1998 | − | 2.00840i | 1.21911 | − | 0.240050i | ||||
\(71\) | −2.73413 | − | 15.5060i | −0.324482 | − | 1.84023i | −0.513290 | − | 0.858215i | \(-0.671573\pi\) |
0.188808 | − | 0.982014i | \(-0.439538\pi\) | |||||||
\(72\) | −0.629800 | − | 2.93315i | −0.0742226 | − | 0.345675i | ||||
\(73\) | −2.57642 | + | 7.07867i | −0.301548 | + | 0.828495i | 0.692684 | + | 0.721241i | \(0.256428\pi\) |
−0.994232 | + | 0.107254i | \(0.965794\pi\) | |||||||
\(74\) | −3.10997 | − | 3.70632i | −0.361527 | − | 0.430851i | ||||
\(75\) | 6.79281 | − | 5.37194i | 0.784366 | − | 0.620298i | ||||
\(76\) | 1.35538 | + | 4.14282i | 0.155473 | + | 0.475214i | ||||
\(77\) | −0.486872 | −0.0554842 | ||||||||
\(78\) | 2.44393 | − | 0.259422i | 0.276721 | − | 0.0293737i | ||||
\(79\) | −1.78665 | + | 4.90879i | −0.201014 | + | 0.552282i | −0.998710 | − | 0.0507779i | \(-0.983830\pi\) |
0.797696 | + | 0.603060i | \(0.206052\pi\) | |||||||
\(80\) | 0.722849 | − | 2.11601i | 0.0808170 | − | 0.236577i | ||||
\(81\) | −7.30296 | − | 5.25992i | −0.811440 | − | 0.584436i | ||||
\(82\) | 0.332285 | + | 0.912946i | 0.0366947 | + | 0.100818i | ||||
\(83\) | −2.49077 | + | 4.31413i | −0.273397 | + | 0.473538i | −0.969729 | − | 0.244182i | \(-0.921481\pi\) |
0.696332 | + | 0.717719i | \(0.254814\pi\) | |||||||
\(84\) | 0.553409 | − | 8.03343i | 0.0603819 | − | 0.876519i | ||||
\(85\) | −7.29695 | − | 8.35306i | −0.791465 | − | 0.906017i | ||||
\(86\) | 2.73911 | + | 2.29839i | 0.295366 | + | 0.247841i | ||||
\(87\) | −13.5160 | − | 0.931093i | −1.44907 | − | 0.0998237i | ||||
\(88\) | −0.0523621 | + | 0.0906937i | −0.00558181 | + | 0.00966798i | ||||
\(89\) | 16.3079 | − | 5.93559i | 1.72863 | − | 0.629171i | 0.730101 | − | 0.683339i | \(-0.239473\pi\) |
0.998532 | + | 0.0541685i | \(0.0172508\pi\) | |||||||
\(90\) | −2.64886 | − | 6.16308i | −0.279214 | − | 0.649646i | ||||
\(91\) | 6.49653 | + | 1.14551i | 0.681021 | + | 0.120082i | ||||
\(92\) | −2.41276 | − | 0.878173i | −0.251548 | − | 0.0915558i | ||||
\(93\) | 5.89589 | − | 0.625844i | 0.611375 | − | 0.0648970i | ||||
\(94\) | 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 | −0.949011 | − | 0.315243i | \(-0.897914\pi\) |
0.145660 | + | 0.989335i | \(0.453470\pi\) | |||||||
\(98\) | 4.99831 | − | 13.7327i | 0.504905 | − | 1.38722i | ||||
\(99\) | 0.0659552 | + | 0.307171i | 0.00662875 | + | 0.0308719i | ||||
\(100\) | 0.671776 | − | 4.95467i | 0.0671776 | − | 0.495467i | ||||
\(101\) | −0.0861922 | − | 0.236811i | −0.00857645 | − | 0.0235636i | 0.935331 | − | 0.353775i | \(-0.115102\pi\) |
−0.943907 | + | 0.330211i | \(0.892880\pi\) | |||||||
\(102\) | −7.71796 | + | 3.77418i | −0.764192 | + | 0.373700i | ||||
\(103\) | −7.45112 | − | 12.9057i | −0.734180 | − | 1.27164i | −0.955082 | − | 0.296341i | \(-0.904233\pi\) |
0.220902 | − | 0.975296i | \(-0.429100\pi\) | |||||||
\(104\) | 0.912071 | − | 1.08696i | 0.0894360 | − | 0.106586i | ||||
\(105\) | −2.25628 | − | 17.8639i | −0.220191 | − | 1.74334i | ||||
\(106\) | 1.76137 | + | 3.05078i | 0.171079 | + | 0.296318i | ||||
\(107\) | 8.47883 | + | 4.89525i | 0.819679 | + | 0.473242i | 0.850306 | − | 0.526289i | \(-0.176417\pi\) |
−0.0306267 | + | 0.999531i | \(0.509750\pi\) | |||||||
\(108\) | −5.14332 | + | 0.739116i | −0.494916 | + | 0.0711215i | ||||
\(109\) | 9.47129 | − | 1.67004i | 0.907185 | − | 0.159961i | 0.299460 | − | 0.954109i | \(-0.403193\pi\) |
0.607725 | + | 0.794148i | \(0.292082\pi\) | |||||||
\(110\) | −0.0756997 | + | 0.221597i | −0.00721768 | + | 0.0211284i | ||||
\(111\) | −6.77456 | + | 4.93271i | −0.643012 | + | 0.468192i | ||||
\(112\) | −2.98838 | − | 3.56141i | −0.282375 | − | 0.336522i | ||||
\(113\) | 1.39050i | 0.130807i | 0.997859 | + | 0.0654036i | \(0.0208335\pi\) | ||||
−0.997859 | + | 0.0654036i | \(0.979167\pi\) | |||||||
\(114\) | 7.31994 | − | 1.84890i | 0.685576 | − | 0.173165i | ||||
\(115\) | −5.67282 | − | 0.884351i | −0.528993 | − | 0.0824661i | ||||
\(116\) | −5.99196 | + | 5.02786i | −0.556340 | + | 0.466825i | ||||
\(117\) | −0.157354 | − | 4.25388i | −0.0145473 | − | 0.393272i | ||||
\(118\) | 2.55809 | + | 0.451060i | 0.235491 | + | 0.0415235i | ||||
\(119\) | −22.7102 | + | 4.00442i | −2.08184 | + | 0.367085i | ||||
\(120\) | −3.57032 | − | 1.50093i | −0.325924 | − | 0.137016i | ||||
\(121\) | −5.49452 | + | 9.51678i | −0.499501 | + | 0.865162i | ||||
\(122\) | 12.0726 | − | 6.97013i | 1.09300 | − | 0.631046i | ||||
\(123\) | 1.61708 | − | 0.465501i | 0.145807 | − | 0.0419728i | ||||
\(124\) | 2.20034 | − | 2.62226i | 0.197596 | − | 0.235486i | ||||
\(125\) | −0.666572 | − | 11.1605i | −0.0596200 | − | 0.998221i | ||||
\(126\) | −13.8155 | − | 1.91253i | −1.23079 | − | 0.170382i | ||||
\(127\) | 3.69581 | − | 1.34517i | 0.327950 | − | 0.119364i | −0.172798 | − | 0.984957i | \(-0.555281\pi\) |
0.500748 | + | 0.865593i | \(0.333058\pi\) | |||||||
\(128\) | −0.984808 | + | 0.173648i | −0.0870455 | + | 0.0153485i | ||||
\(129\) | 4.29756 | − | 4.45947i | 0.378379 | − | 0.392635i | ||||
\(130\) | 1.53146 | − | 2.77875i | 0.134318 | − | 0.243712i | ||||
\(131\) | 5.21813 | + | 6.21873i | 0.455910 | + | 0.543333i | 0.944210 | − | 0.329343i | \(-0.106827\pi\) |
−0.488300 | + | 0.872676i | \(0.662383\pi\) | |||||||
\(132\) | 0.150482 | + | 0.101275i | 0.0130978 | + | 0.00881487i | ||||
\(133\) | 20.2540 | + | 0.666134i | 1.75624 | + | 0.0577611i | ||||
\(134\) | 6.97675i | 0.602699i | ||||||||
\(135\) | −10.9648 | + | 3.84348i | −0.943703 | + | 0.330794i | ||||
\(136\) | −1.69650 | + | 4.66108i | −0.145473 | + | 0.399685i | ||||
\(137\) | 1.52264 | − | 8.63533i | 0.130088 | − | 0.737766i | −0.848067 | − | 0.529889i | \(-0.822233\pi\) |
0.978155 | − | 0.207877i | \(-0.0666554\pi\) | |||||||
\(138\) | −1.80465 | + | 4.06461i | −0.153622 | + | 0.346002i | ||||
\(139\) | 13.7768 | − | 5.01436i | 1.16854 | − | 0.425312i | 0.316396 | − | 0.948627i | \(-0.397527\pi\) |
0.852139 | + | 0.523315i | \(0.175305\pi\) | |||||||
\(140\) | −8.09485 | − | 6.52255i | −0.684140 | − | 0.551256i | ||||
\(141\) | 9.16060 | + | 0.631058i | 0.771462 | + | 0.0531447i | ||||
\(142\) | −10.1209 | + | 12.0616i | −0.849323 | + | 1.01218i | ||||
\(143\) | −0.0955159 | + | 0.113831i | −0.00798744 | + | 0.00951906i | ||||
\(144\) | −1.84209 | + | 2.36785i | −0.153508 | + | 0.197320i | ||||
\(145\) | −10.9740 | + | 13.6193i | −0.911340 | + | 1.13102i | ||||
\(146\) | 7.07867 | − | 2.57642i | 0.585835 | − | 0.213226i | ||||
\(147\) | −23.1346 | − | 10.2715i | −1.90811 | − | 0.847183i | ||||
\(148\) | −0.840155 | + | 4.76475i | −0.0690603 | + | 0.391660i | ||||
\(149\) | 5.04115 | − | 13.8504i | 0.412987 | − | 1.13467i | −0.542607 | − | 0.839986i | \(-0.682563\pi\) |
0.955594 | − | 0.294686i | \(-0.0952149\pi\) | |||||||
\(150\) | −8.48148 | − | 1.75058i | −0.692510 | − | 0.142934i | ||||
\(151\) | − | 17.8106i | − | 1.44941i | −0.689059 | − | 0.724705i | \(-0.741976\pi\) | ||
0.689059 | − | 0.724705i | \(-0.258024\pi\) | |||||||
\(152\) | 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 | ||||
\(156\) | −1.76966 | − | 1.70541i | −0.141686 | − | 0.136542i | ||||
\(157\) | 17.7541 | − | 3.13052i | 1.41693 | − | 0.249843i | 0.587848 | − | 0.808972i | \(-0.299975\pi\) |
0.829081 | + | 0.559129i | \(0.188864\pi\) | |||||||
\(158\) | 4.90879 | − | 1.78665i | 0.390523 | − | 0.142139i | ||||
\(159\) | 5.48127 | − | 2.68041i | 0.434693 | − | 0.212570i | ||||
\(160\) | −2.08559 | + | 0.806409i | −0.164881 | + | 0.0637523i | ||||
\(161\) | −7.67298 | + | 9.14430i | −0.604716 | + | 0.720672i | ||||
\(162\) | 0.664920 | + | 8.97540i | 0.0522411 | + | 0.705174i | ||||
\(163\) | 12.5756 | − | 7.26050i | 0.984993 | − | 0.568686i | 0.0812193 | − | 0.996696i | \(-0.474119\pi\) |
0.903774 | + | 0.428010i | \(0.140785\pi\) | |||||||
\(164\) | 0.485768 | − | 0.841375i | 0.0379321 | − | 0.0657004i | ||||
\(165\) | 0.373899 | + | 0.157184i | 0.0291080 | + | 0.0122367i | ||||
\(166\) | 4.90585 | − | 0.865034i | 0.380768 | − | 0.0671397i | ||||
\(167\) | 14.3743 | + | 2.53457i | 1.11232 | + | 0.196131i | 0.699464 | − | 0.714667i | \(-0.253422\pi\) |
0.412851 | + | 0.910799i | \(0.364533\pi\) | |||||||
\(168\) | −6.50969 | + | 4.73985i | −0.502233 | + | 0.365688i | ||||
\(169\) | −8.41625 | + | 7.06207i | −0.647404 | + | 0.543236i | ||||
\(170\) | −1.70843 | + | 10.9590i | −0.131031 | + | 0.840519i | ||||
\(171\) | −2.32348 | − | 12.8686i | −0.177681 | − | 0.984088i | ||||
\(172\) | − | 3.57565i | − | 0.272641i | ||||||
\(173\) | 2.45142 | + | 2.92149i | 0.186378 | + | 0.222117i | 0.851140 | − | 0.524938i | \(-0.175912\pi\) |
−0.664762 | + | 0.747055i | \(0.731467\pi\) | |||||||
\(174\) | 7.97465 | + | 10.9523i | 0.604557 | + | 0.830295i | ||||
\(175\) | −20.5774 | − | 10.8131i | −1.55550 | − | 0.817396i | ||||
\(176\) | 0.103133 | − | 0.0181851i | 0.00777395 | − | 0.00137076i | ||||
\(177\) | 1.08392 | − | 4.36657i | 0.0814722 | − | 0.328212i | ||||
\(178\) | −15.0294 | − | 8.67725i | −1.12650 | − | 0.650387i | ||||
\(179\) | −12.0121 | − | 20.8056i | −0.897830 | − | 1.55509i | −0.830263 | − | 0.557372i | \(-0.811810\pi\) |
−0.0675672 | − | 0.997715i | \(-0.521524\pi\) | |||||||
\(180\) | −3.01854 | + | 5.99069i | −0.224989 | + | 0.446520i | ||||
\(181\) | −2.84819 | + | 3.39434i | −0.211704 | + | 0.252299i | −0.861438 | − | 0.507863i | \(-0.830436\pi\) |
0.649734 | + | 0.760162i | \(0.274880\pi\) | |||||||
\(182\) | −3.29837 | − | 5.71295i | −0.244492 | − | 0.423472i | ||||
\(183\) | −10.6070 | − | 21.6906i | −0.784092 | − | 1.60342i | ||||
\(184\) | 0.878173 | + | 2.41276i | 0.0647398 | + | 0.177871i | ||||
\(185\) | 0.215117 | + | 10.8165i | 0.0158157 | + | 0.795248i | ||||
\(186\) | −4.26923 | − | 4.11423i | −0.313035 | − | 0.301670i | ||||
\(187\) | 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 | \(0.905745\pi\) | |||||||
\(192\) | 0.182829 | + | 1.72237i | 0.0131945 | + | 0.124302i | ||||
\(193\) | −16.0842 | − | 5.85417i | −1.15777 | − | 0.421392i | −0.309467 | − | 0.950910i | \(-0.600151\pi\) |
−0.848299 | + | 0.529518i | \(0.822373\pi\) | |||||||
\(194\) | 10.1716 | + | 1.79353i | 0.730278 | + | 0.128768i | ||||
\(195\) | −4.61926 | − | 2.97707i | −0.330792 | − | 0.213193i | ||||
\(196\) | −13.7327 | + | 4.99831i | −0.980910 | + | 0.357022i | ||||
\(197\) | 11.8521 | − | 20.5284i | 0.844424 | − | 1.46258i | −0.0416969 | − | 0.999130i | \(-0.513276\pi\) |
0.886121 | − | 0.463455i | \(-0.153390\pi\) | |||||||
\(198\) | 0.192912 | − | 0.247970i | 0.0137096 | − | 0.0176225i | ||||
\(199\) | −4.91779 | − | 4.12652i | −0.348613 | − | 0.292521i | 0.451620 | − | 0.892211i | \(-0.350846\pi\) |
−0.800233 | + | 0.599689i | \(0.795291\pi\) | |||||||
\(200\) | −4.22730 | + | 2.67019i | −0.298916 | + | 0.188811i | ||||
\(201\) | 12.0555 | + | 0.830483i | 0.850330 | + | 0.0585778i | ||||
\(202\) | −0.126005 | + | 0.218246i | −0.00886566 | + | 0.0153558i | ||||
\(203\) | 12.4376 | + | 34.1719i | 0.872946 | + | 2.39840i | ||||
\(204\) | 7.85220 | + | 3.48631i | 0.549764 | + | 0.244090i | ||||
\(205\) | 0.702274 | − | 2.05578i | 0.0490489 | − | 0.143582i | ||||
\(206\) | −5.09686 | + | 14.0035i | −0.355115 | + | 0.975671i | ||||
\(207\) | 6.80864 | + | 3.60219i | 0.473233 | + | 0.250369i | ||||
\(208\) | −1.41893 | −0.0983852 | ||||||||
\(209\) | −0.241112 | + | 0.387609i | −0.0166781 | + | 0.0268114i | ||||
\(210\) | −12.2343 | + | 13.2111i | −0.844244 | + | 0.911655i | ||||
\(211\) | −4.41320 | − | 5.25944i | −0.303817 | − | 0.362075i | 0.592437 | − | 0.805617i | \(-0.298166\pi\) |
−0.896254 | + | 0.443542i | \(0.853722\pi\) | |||||||
\(212\) | 1.20485 | − | 3.31029i | 0.0827491 | − | 0.227351i | ||||
\(213\) | 19.6371 | + | 18.9241i | 1.34551 | + | 1.29666i | ||||
\(214\) | −1.70010 | − | 9.64177i | −0.116217 | − | 0.659098i | ||||
\(215\) | −1.54468 | − | 7.84478i | −0.105346 | − | 0.535009i | ||||
\(216\) | 3.87226 | + | 3.46491i | 0.263474 | + | 0.235758i | ||||
\(217\) | −7.95719 | − | 13.7823i | −0.540169 | − | 0.935601i | ||||
\(218\) | −7.36735 | − | 6.18194i | −0.498980 | − | 0.418694i | ||||
\(219\) | −3.60933 | − | 12.5383i | −0.243896 | − | 0.847261i | ||||
\(220\) | 0.218412 | − | 0.0844505i | 0.0147253 | − | 0.00569365i | ||||
\(221\) | −3.51911 | + | 6.09527i | −0.236721 | + | 0.410012i | ||||
\(222\) | 8.13328 | + | 2.01893i | 0.545870 | + | 0.135502i | ||||
\(223\) | 2.42000 | + | 13.7245i | 0.162055 | + | 0.919061i | 0.952049 | + | 0.305946i | \(0.0989727\pi\) |
−0.789994 | + | 0.613115i | \(0.789916\pi\) | |||||||
\(224\) | −0.807307 | + | 4.57846i | −0.0539404 | + | 0.305911i | ||||
\(225\) | −4.03453 | + | 14.4472i | −0.268968 | + | 0.963149i | ||||
\(226\) | 1.06518 | − | 0.893796i | 0.0708550 | − | 0.0594544i | ||||
\(227\) | − | 1.58854i | − | 0.105435i | −0.998609 | − | 0.0527176i | \(-0.983212\pi\) | ||
0.998609 | − | 0.0527176i | \(-0.0167883\pi\) | |||||||
\(228\) | −6.12151 | − | 4.41895i | −0.405407 | − | 0.292652i | ||||
\(229\) | 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 | ||||
\(231\) | 0.681721 | − | 0.496377i | 0.0448540 | − | 0.0326592i | ||||
\(232\) | 7.70312 | + | 1.35827i | 0.505735 | + | 0.0891747i | ||||
\(233\) | 2.53356 | + | 14.3685i | 0.165979 | + | 0.941314i | 0.948049 | + | 0.318124i | \(0.103053\pi\) |
−0.782070 | + | 0.623190i | \(0.785836\pi\) | |||||||
\(234\) | −3.15752 | + | 2.85488i | −0.206414 | + | 0.186630i | ||||
\(235\) | 7.43774 | − | 9.23065i | 0.485185 | − | 0.602141i | ||||
\(236\) | −1.29878 | − | 2.24955i | −0.0845431 | − | 0.146433i | ||||
\(237\) | −2.50294 | − | 8.69485i | −0.162583 | − | 0.564791i | ||||
\(238\) | 17.6654 | + | 14.8230i | 1.14508 | + | 0.960834i | ||||
\(239\) | 15.6740 | − | 9.04939i | 1.01387 | − | 0.585356i | 0.101546 | − | 0.994831i | \(-0.467621\pi\) |
0.912322 | + | 0.409474i | \(0.134288\pi\) | |||||||
\(240\) | 1.14518 | + | 3.69981i | 0.0739210 | + | 0.238821i | ||||
\(241\) | 8.06391 | + | 22.1554i | 0.519442 | + | 1.42716i | 0.871137 | + | 0.491041i | \(0.163383\pi\) |
−0.351695 | + | 0.936115i | \(0.614394\pi\) | |||||||
\(242\) | 10.8221 | − | 1.90823i | 0.695670 | − | 0.122665i | ||||
\(243\) | 15.5882 | − | 0.0805574i | 0.999987 | − | 0.00516776i | ||||
\(244\) | −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 | ||||||||
\(249\) | −0.910768 | − | 8.58007i | −0.0577176 | − | 0.543740i | ||||
\(250\) | −8.12094 | + | 7.68442i | −0.513613 | + | 0.486006i | ||||
\(251\) | 10.2777 | + | 1.81223i | 0.648721 | + | 0.114387i | 0.488320 | − | 0.872665i | \(-0.337610\pi\) |
0.160401 | + | 0.987052i | \(0.448721\pi\) | |||||||
\(252\) | 7.41537 | + | 11.8127i | 0.467124 | + | 0.744128i | ||||
\(253\) | −0.0919659 | − | 0.252674i | −0.00578184 | − | 0.0158855i | ||||
\(254\) | −3.40608 | − | 1.96650i | −0.213716 | − | 0.123389i | ||||
\(255\) | 18.7334 | + | 4.25661i | 1.17313 | + | 0.266559i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 6.00519 | − | 7.15671i | 0.374593 | − | 0.446423i | −0.545507 | − | 0.838107i | \(-0.683663\pi\) |
0.920100 | + | 0.391683i | \(0.128107\pi\) | |||||||
\(258\) | −6.17857 | − | 0.425631i | −0.384661 | − | 0.0264986i | ||||
\(259\) | 19.4800 | + | 11.2468i | 1.21043 | + | 0.698840i | ||||
\(260\) | −3.11305 | + | 0.612976i | −0.193063 | + | 0.0380152i | ||||
\(261\) | 19.8744 | − | 12.4761i | 1.23020 | − | 0.772253i | ||||
\(262\) | 1.40967 | − | 7.99464i | 0.0870897 | − | 0.493910i | ||||
\(263\) | −12.1414 | − | 4.41912i | −0.748672 | − | 0.272494i | −0.0606254 | − | 0.998161i | \(-0.519309\pi\) |
−0.688047 | + | 0.725666i | \(0.741532\pi\) | |||||||
\(264\) | −0.0191466 | − | 0.180374i | −0.00117839 | − | 0.0111013i | ||||
\(265\) | 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 | \(-0.0677524\pi\) |
0.612970 | + | 0.790106i | \(0.289975\pi\) | |||||||
\(270\) | 9.99234 | + | 5.92901i | 0.608114 | + | 0.360828i | ||||
\(271\) | −0.913695 | − | 5.18182i | −0.0555030 | − | 0.314773i | 0.944399 | − | 0.328803i | \(-0.106645\pi\) |
−0.999902 | + | 0.0140297i | \(0.995534\pi\) | |||||||
\(272\) | 4.66108 | − | 1.69650i | 0.282620 | − | 0.102865i | ||||
\(273\) | −10.2643 | + | 5.01939i | −0.621226 | + | 0.303788i | ||||
\(274\) | −7.59379 | + | 4.38427i | −0.458757 | + | 0.264864i | ||||
\(275\) | 0.442701 | − | 0.279633i | 0.0266958 | − | 0.0168625i | ||||
\(276\) | 4.27368 | − | 1.23024i | 0.257245 | − | 0.0740517i | ||||
\(277\) | −12.6467 | + | 7.30156i | −0.759865 | + | 0.438708i | −0.829247 | − | 0.558882i | \(-0.811231\pi\) |
0.0693823 | + | 0.997590i | \(0.477897\pi\) | |||||||
\(278\) | −12.6968 | − | 7.33050i | −0.761503 | − | 0.439654i | ||||
\(279\) | −7.61739 | + | 6.88730i | −0.456041 | + | 0.412332i | ||||
\(280\) | 0.206706 | + | 10.3936i | 0.0123530 | + | 0.621138i | ||||
\(281\) | −1.01731 | + | 5.76945i | −0.0606876 | + | 0.344177i | 0.939312 | + | 0.343065i | \(0.111465\pi\) |
−0.999999 | + | 0.00111193i | \(0.999646\pi\) | |||||||
\(282\) | −5.40490 | − | 7.42307i | −0.321857 | − | 0.442037i | ||||
\(283\) | 21.0306 | + | 25.0633i | 1.25014 | + | 1.48986i | 0.803688 | + | 0.595051i | \(0.202868\pi\) |
0.446451 | + | 0.894808i | \(0.352688\pi\) | |||||||
\(284\) | 15.7453 | 0.934309 | ||||||||
\(285\) | −15.3392 | − | 7.05044i | −0.908616 | − | 0.417632i | ||||
\(286\) | 0.148596 | 0.00878668 | ||||||||
\(287\) | −2.90332 | − | 3.46004i | −0.171378 | − | 0.204240i | ||||
\(288\) | 2.99795 | − | 0.110896i | 0.176656 | − | 0.00653460i | ||||
\(289\) | 1.32039 | − | 7.48829i | 0.0776699 | − | 0.440488i | ||||
\(290\) | 17.4870 | − | 0.347776i | 1.02687 | − | 0.0204221i | ||||
\(291\) | 4.30992 | − | 17.3626i | 0.252652 | − | 1.01781i | ||||
\(292\) | −6.52374 | − | 3.76648i | −0.381773 | − | 0.220417i | ||||
\(293\) | −20.8904 | + | 12.0611i | −1.22043 | + | 0.704616i | −0.965010 | − | 0.262214i | \(-0.915548\pi\) |
−0.255421 | + | 0.966830i | \(0.582214\pi\) | |||||||
\(294\) | 7.00217 | + | 24.3245i | 0.408375 | + | 1.41864i | ||||
\(295\) | −3.82124 | − | 4.37430i | −0.222481 | − | 0.254682i | ||||
\(296\) | 4.19005 | − | 2.41913i | 0.243542 | − | 0.140609i | ||||
\(297\) | −0.405519 | − | 0.362860i | −0.0235306 | − | 0.0210553i | ||||
\(298\) | −13.8504 | + | 5.04115i | −0.802334 | + | 0.292026i | ||||
\(299\) | 0.632645 | + | 3.58791i | 0.0365868 | + | 0.207494i | ||||
\(300\) | 4.11077 | + | 7.62244i | 0.237335 | + | 0.440082i | ||||
\(301\) | −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 | ||||
\(306\) | 6.95888 | − | 13.1533i | 0.397812 | − | 0.751922i | ||||
\(307\) | −6.04000 | − | 2.19838i | −0.344721 | − | 0.125468i | 0.163857 | − | 0.986484i | \(-0.447606\pi\) |
−0.508578 | + | 0.861016i | \(0.669829\pi\) | |||||||
\(308\) | 0.0845445 | − | 0.479476i | 0.00481737 | − | 0.0273207i | ||||
\(309\) | 23.5907 | + | 10.4741i | 1.34203 | + | 0.595849i | ||||
\(310\) | −7.51011 | + | 1.47878i | −0.426546 | + | 0.0839891i | ||||
\(311\) | 6.75652 | + | 3.90088i | 0.383127 | + | 0.221198i | 0.679178 | − | 0.733974i | \(-0.262336\pi\) |
−0.296051 | + | 0.955172i | \(0.595670\pi\) | |||||||
\(312\) | −0.168904 | + | 2.45185i | −0.00956229 | + | 0.138809i | ||||
\(313\) | 20.1201 | − | 23.9782i | 1.13725 | − | 1.35533i | 0.211422 | − | 0.977395i | \(-0.432191\pi\) |
0.925833 | − | 0.377933i | \(-0.123365\pi\) | |||||||
\(314\) | −13.8102 | − | 11.5881i | −0.779355 | − | 0.653957i | ||||
\(315\) | 21.3719 | + | 22.7129i | 1.20417 | + | 1.27972i | ||||
\(316\) | −4.52397 | − | 2.61191i | −0.254493 | − | 0.146932i | ||||
\(317\) | 5.96589 | + | 16.3911i | 0.335078 | + | 0.920618i | 0.986769 | + | 0.162134i | \(0.0518376\pi\) |
−0.651691 | + | 0.758484i | \(0.725940\pi\) | |||||||
\(318\) | −5.57661 | − | 2.47596i | −0.312721 | − | 0.138845i | ||||
\(319\) | −0.806702 | − | 0.142243i | −0.0451667 | − | 0.00796410i | ||||
\(320\) | 1.95834 | + | 1.07931i | 0.109475 | + | 0.0603352i | ||||
\(321\) | −16.8629 | + | 1.78999i | −0.941196 | + | 0.0999073i | ||||
\(322\) | 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 | ||||
\(327\) | −11.5591 | + | 11.9946i | −0.639220 | + | 0.663302i | ||||
\(328\) | −0.956777 | + | 0.168706i | −0.0528292 | + | 0.00931521i | ||||
\(329\) | −8.42969 | − | 23.1604i | −0.464744 | − | 1.27687i | ||||
\(330\) | −0.119928 | − | 0.387459i | −0.00660181 | − | 0.0213289i | ||||
\(331\) | −0.121709 | + | 0.0702690i | −0.00668975 | + | 0.00386233i | −0.503341 | − | 0.864088i | \(-0.667896\pi\) |
0.496651 | + | 0.867950i | \(0.334563\pi\) | |||||||
\(332\) | −3.81608 | − | 3.20207i | −0.209434 | − | 0.175736i | ||||
\(333\) | 4.45677 | − | 13.8136i | 0.244229 | − | 0.756981i | ||||
\(334\) | −7.29801 | − | 12.6405i | −0.399330 | − | 0.691659i | ||||
\(335\) | 9.78819 | − | 12.1477i | 0.534786 | − | 0.663699i | ||||
\(336\) | 7.81528 | + | 1.93999i | 0.426359 | + | 0.105835i | ||||
\(337\) | 2.54126 | + | 14.4122i | 0.138431 | + | 0.785083i | 0.972409 | + | 0.233284i | \(0.0749473\pi\) |
−0.833977 | + | 0.551799i | \(0.813942\pi\) | |||||||
\(338\) | 10.8197 | + | 1.90781i | 0.588515 | + | 0.103771i | ||||
\(339\) | −1.41764 | − | 1.94699i | −0.0769959 | − | 0.105746i | ||||
\(340\) | 9.49326 | − | 5.73559i | 0.514844 | − | 0.311056i | ||||
\(341\) | 0.358483 | 0.0194129 | ||||||||
\(342\) | −8.36443 | + | 10.0517i | −0.452297 | + | 0.543533i | ||||
\(343\) | 35.3985i | 1.91134i | ||||||||
\(344\) | −2.73911 | + | 2.29839i | −0.147683 | + | 0.123921i | ||||
\(345\) | 8.84473 | − | 4.54529i | 0.476184 | − | 0.244710i | ||||
\(346\) | 0.662248 | − | 3.75580i | 0.0356027 | − | 0.201913i | ||||
\(347\) | −1.52821 | − | 8.66689i | −0.0820384 | − | 0.465263i | −0.997956 | − | 0.0638975i | \(-0.979647\pi\) |
0.915918 | − | 0.401365i | \(-0.131464\pi\) | |||||||
\(348\) | 3.26397 | − | 13.1490i | 0.174967 | − | 0.704859i | ||||
\(349\) | 3.32939 | − | 5.76668i | 0.178218 | − | 0.308683i | −0.763052 | − | 0.646337i | \(-0.776300\pi\) |
0.941270 | + | 0.337654i | \(0.109633\pi\) | |||||||
\(350\) | 4.94354 | + | 22.7137i | 0.264243 | + | 1.21410i | ||||
\(351\) | 4.55725 | + | 5.79589i | 0.243248 | + | 0.309362i | ||||
\(352\) | −0.0802233 | − | 0.0673154i | −0.00427592 | − | 0.00358792i | ||||
\(353\) | −7.74392 | − | 13.4129i | −0.412167 | − | 0.713895i | 0.582959 | − | 0.812502i | \(-0.301895\pi\) |
−0.995126 | + | 0.0986066i | \(0.968561\pi\) | |||||||
\(354\) | −4.04172 | + | 1.97645i | −0.214815 | + | 0.105047i | ||||
\(355\) | 34.5442 | − | 6.80193i | 1.83341 | − | 0.361009i | ||||
\(356\) | 3.01358 | + | 17.0908i | 0.159719 | + | 0.905813i | ||||
\(357\) | 27.7164 | − | 28.7606i | 1.46691 | − | 1.52217i | ||||
\(358\) | −8.21679 | + | 22.5754i | −0.434271 | + | 1.19315i | ||||
\(359\) | 6.53170 | + | 7.78418i | 0.344730 | + | 0.410833i | 0.910354 | − | 0.413830i | \(-0.135809\pi\) |
−0.565624 | + | 0.824663i | \(0.691365\pi\) | |||||||
\(360\) | 6.52942 | − | 1.53841i | 0.344131 | − | 0.0810812i | ||||
\(361\) | 10.5606 | − | 15.7947i | 0.555823 | − | 0.831300i | ||||
\(362\) | 4.43099 | 0.232888 | ||||||||
\(363\) | −2.00911 | − | 18.9272i | −0.105451 | − | 0.993422i | ||||
\(364\) | −2.25622 | + | 6.19891i | −0.118258 | + | 0.324911i | ||||
\(365\) | −15.9398 | − | 5.44519i | −0.834328 | − | 0.285014i | ||||
\(366\) | −9.79795 | + | 22.0679i | −0.512147 | + | 1.15351i | ||||
\(367\) | 1.30970 | + | 3.59838i | 0.0683659 | + | 0.187834i | 0.969171 | − | 0.246391i | \(-0.0792447\pi\) |
−0.900805 | + | 0.434225i | \(0.857022\pi\) | |||||||
\(368\) | 1.28380 | − | 2.22361i | 0.0669228 | − | 0.115914i | ||||
\(369\) | −1.78966 | + | 2.30045i | −0.0931660 | + | 0.119757i | ||||
\(370\) | 8.14767 | − | 7.11752i | 0.423577 | − | 0.370022i | ||||
\(371\) | −12.5459 | − | 10.5273i | −0.651351 | − | 0.546548i | ||||
\(372\) | −0.407474 | + | 5.91499i | −0.0211265 | + | 0.306678i | ||||
\(373\) | 5.25856 | − | 9.10809i | 0.272278 | − | 0.471599i | −0.697167 | − | 0.716909i | \(-0.745556\pi\) |
0.969445 | + | 0.245310i | \(0.0788897\pi\) | |||||||
\(374\) | −0.488128 | + | 0.177664i | −0.0252405 | + | 0.00918679i | ||||
\(375\) | 12.3117 | + | 14.9473i | 0.635771 | + | 0.771877i | ||||
\(376\) | −5.22087 | − | 0.920580i | −0.269246 | − | 0.0474753i | ||||
\(377\) | 10.4295 | + | 3.79602i | 0.537145 | + | 0.195505i | ||||
\(378\) | 21.2945 | − | 11.4073i | 1.09527 | − | 0.586728i | ||||
\(379\) | − | 30.9672i | − | 1.59068i | −0.606164 | − | 0.795340i | \(-0.707292\pi\) | ||
0.606164 | − | 0.795340i | \(-0.292708\pi\) | |||||||
\(380\) | −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 | \(-0.839937\pi\) |
0.980993 | + | 0.194041i | \(0.0621595\pi\) | |||||||
\(384\) | 1.20190 | − | 1.24718i | 0.0613340 | − | 0.0636447i | ||||
\(385\) | −0.0216471 | − | 1.08846i | −0.00110324 | − | 0.0554733i | ||||
\(386\) | 5.85417 | + | 16.0842i | 0.297969 | + | 0.818664i | ||||
\(387\) | −1.47094 | + | 10.6256i | −0.0747723 | + | 0.540131i | ||||
\(388\) | −5.16425 | − | 8.94475i | −0.262175 | − | 0.454101i | ||||
\(389\) | −22.0311 | + | 26.2557i | −1.11702 | + | 1.33121i | −0.179313 | + | 0.983792i | \(0.557387\pi\) |
−0.937709 | + | 0.347423i | \(0.887057\pi\) | |||||||
\(390\) | 0.688631 | + | 5.45218i | 0.0348702 | + | 0.276082i | ||||
\(391\) | −6.36795 | − | 11.0296i | −0.322041 | − | 0.557791i | ||||
\(392\) | 12.6562 | + | 7.30704i | 0.639233 | + | 0.369061i | ||||
\(393\) | −13.6466 | − | 3.38750i | −0.688379 | − | 0.170877i | ||||
\(394\) | −23.3440 | + | 4.11617i | −1.17605 | + | 0.207370i | ||||
\(395\) | −11.0537 | − | 3.77604i | −0.556170 | − | 0.189993i | ||||
\(396\) | −0.313958 | + | 0.0116135i | −0.0157770 | + | 0.000583599i | ||||
\(397\) | −15.4770 | − | 18.4447i | −0.776767 | − | 0.925715i | 0.222015 | − | 0.975043i | \(-0.428736\pi\) |
−0.998783 | + | 0.0493280i | \(0.984292\pi\) | |||||||
\(398\) | 6.41972i | 0.321792i | ||||||||
\(399\) | −29.0389 | + | 19.7166i | −1.45376 | + | 0.987067i | ||||
\(400\) | 4.76274 | + | 1.52194i | 0.238137 | + | 0.0760969i | ||||
\(401\) | −9.20553 | + | 7.72436i | −0.459702 | + | 0.385736i | −0.843022 | − | 0.537880i | \(-0.819225\pi\) |
0.383319 | + | 0.923616i | \(0.374781\pi\) | |||||||
\(402\) | −7.11295 | − | 9.76888i | −0.354762 | − | 0.487228i | ||||
\(403\) | −4.78337 | − | 0.843438i | −0.238277 | − | 0.0420146i | ||||
\(404\) | 0.248181 | − | 0.0437610i | 0.0123475 | − | 0.00217719i | ||||
\(405\) | 11.4345 | − | 16.5606i | 0.568186 | − | 0.822900i | ||||
\(406\) | 18.1825 | − | 31.4930i | 0.902382 | − | 1.56297i | ||||
\(407\) | −0.438800 | + | 0.253341i | −0.0217505 | + | 0.0125577i | ||||
\(408\) | −2.37663 | − | 8.25609i | −0.117661 | − | 0.408737i | ||||
\(409\) | −17.7789 | + | 21.1881i | −0.879110 | + | 1.04768i | 0.119385 | + | 0.992848i | \(0.461908\pi\) |
−0.998495 | + | 0.0548348i | \(0.982537\pi\) | |||||||
\(410\) | −2.02623 | + | 0.783456i | −0.100068 | + | 0.0386921i | ||||
\(411\) | 6.67190 | + | 13.6436i | 0.329100 | + | 0.672990i | ||||
\(412\) | 14.0035 | − | 5.09686i | 0.689904 | − | 0.251104i | ||||
\(413\) | −11.8928 | + | 2.09702i | −0.585206 | + | 0.103188i | ||||
\(414\) | −1.61708 | − | 7.53117i | −0.0794750 | − | 0.370137i | ||||
\(415\) | −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 | \(0.622033\pi\) | |||||||
\(420\) | 17.9843 | + | 0.880037i | 0.877546 | + | 0.0429414i | ||||
\(421\) | −4.75919 | + | 13.0758i | −0.231949 | + | 0.637274i | −0.999995 | − | 0.00312012i | \(-0.999007\pi\) |
0.768046 | + | 0.640394i | \(0.221229\pi\) | |||||||
\(422\) | −1.19222 | + | 6.76141i | −0.0580363 | + | 0.329140i | ||||
\(423\) | −13.4701 | + | 8.45582i | −0.654939 | + | 0.411136i | ||||
\(424\) | −3.31029 | + | 1.20485i | −0.160762 | + | 0.0585125i | ||||
\(425\) | 18.3499 | − | 16.6846i | 0.890100 | − | 0.809323i | ||||
\(426\) | 1.87425 | − | 27.2071i | 0.0908077 | − | 1.31819i | ||||
\(427\) | −41.6588 | + | 49.6470i | −2.01601 | + | 2.40259i | ||||
\(428\) | −6.29322 | + | 7.49996i | −0.304194 | + | 0.362524i | ||||
\(429\) | 0.0176883 | − | 0.256768i | 0.000853999 | − | 0.0123969i | ||||
\(430\) | −5.01655 | + | 6.22582i | −0.241919 | + | 0.300236i | ||||
\(431\) | −18.0503 | + | 6.56979i | −0.869454 | + | 0.316455i | −0.737946 | − | 0.674860i | \(-0.764204\pi\) |
−0.131508 | + | 0.991315i | \(0.541982\pi\) | |||||||
\(432\) | 0.165241 | − | 5.19352i | 0.00795014 | − | 0.249874i | ||||
\(433\) | 5.83374 | − | 33.0848i | 0.280352 | − | 1.58995i | −0.441080 | − | 0.897468i | \(-0.645404\pi\) |
0.721431 | − | 0.692486i | \(-0.243485\pi\) | |||||||
\(434\) | −5.44304 | + | 14.9546i | −0.261274 | + | 0.717845i | ||||
\(435\) | 1.48063 | − | 30.2581i | 0.0709910 | − | 1.45076i | ||||
\(436\) | 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 | 0.184105 | − | 0.982907i | \(-0.441061\pi\) |
−0.999944 | + | 0.0106276i | \(0.996617\pi\) | |||||||
\(440\) | −0.205085 | − | 0.113030i | −0.00977706 | − | 0.00538847i | ||||
\(441\) | 42.8652 | − | 9.20394i | 2.04120 | − | 0.438283i | ||||
\(442\) | 6.93129 | − | 1.22217i | 0.329688 | − | 0.0581329i | ||||
\(443\) | 28.5078 | − | 10.3760i | 1.35445 | − | 0.492979i | 0.440115 | − | 0.897941i | \(-0.354938\pi\) |
0.914333 | + | 0.404962i | \(0.132715\pi\) | |||||||
\(444\) | −3.68138 | − | 7.52819i | −0.174711 | − | 0.357272i | ||||
\(445\) | 13.9948 | + | 36.1944i | 0.663418 | + | 1.71578i | ||||
\(446\) | 8.95803 | − | 10.6758i | 0.424175 | − | 0.505512i | ||||
\(447\) | 7.06218 | + | 24.5330i | 0.334030 | + | 1.16037i | ||||
\(448\) | 4.02623 | − | 2.32455i | 0.190222 | − | 0.109825i | ||||
\(449\) | 2.16458 | − | 3.74916i | 0.102153 | − | 0.176934i | −0.810419 | − | 0.585851i | \(-0.800760\pi\) |
0.912571 | + | 0.408917i | \(0.134094\pi\) | |||||||
\(450\) | 13.6606 | − | 6.19588i | 0.643965 | − | 0.292076i | ||||
\(451\) | 0.100198 | − | 0.0176675i | 0.00471812 | − | 0.000831932i | ||||
\(452\) | −1.36938 | − | 0.241458i | −0.0644100 | − | 0.0113572i | ||||
\(453\) | 18.1583 | + | 24.9386i | 0.853153 | + | 1.17172i | ||||
\(454\) | −1.21689 | + | 1.02109i | −0.0571116 | + | 0.0479223i | ||||
\(455\) | −2.27209 | + | 14.5747i | −0.106517 | + | 0.683274i | ||||
\(456\) | 0.549716 | + | 7.52979i | 0.0257428 | + | 0.352615i | ||||
\(457\) | − | 24.4038i | − | 1.14156i | −0.821103 | − | 0.570781i | \(-0.806641\pi\) | ||
0.821103 | − | 0.570781i | \(-0.193359\pi\) | |||||||
\(458\) | −10.8722 | − | 12.9569i | −0.508023 | − | 0.605438i | ||||
\(459\) | −21.8999 | − | 13.5903i | −1.02220 | − | 0.634343i | ||||
\(460\) | 1.85599 | − | 5.43307i | 0.0865360 | − | 0.253318i | ||||
\(461\) | 34.5470 | − | 6.09156i | 1.60901 | − | 0.283712i | 0.704353 | − | 0.709849i | \(-0.251237\pi\) |
0.904659 | + | 0.426137i | \(0.140126\pi\) | |||||||
\(462\) | −0.818449 | − | 0.203164i | −0.0380777 | − | 0.00945204i | ||||
\(463\) | −13.9124 | − | 8.03232i | −0.646563 | − | 0.373294i | 0.140575 | − | 0.990070i | \(-0.455105\pi\) |
−0.787138 | + | 0.616776i | \(0.788438\pi\) | |||||||
\(464\) | −3.91098 | − | 6.77401i | −0.181563 | − | 0.314476i | ||||
\(465\) | 1.66129 | + | 13.1532i | 0.0770407 | + | 0.609964i | ||||
\(466\) | 9.37839 | − | 11.1767i | 0.434446 | − | 0.517752i | ||||
\(467\) | −11.8739 | − | 20.5661i | −0.549457 | − | 0.951687i | −0.998312 | − | 0.0580824i | \(-0.981501\pi\) |
0.448855 | − | 0.893605i | \(-0.351832\pi\) | |||||||
\(468\) | 4.21658 | + | 0.583716i | 0.194912 | + | 0.0269823i | ||||
\(469\) | −11.0936 | − | 30.4795i | −0.512256 | − | 1.40741i | ||||
\(470\) | −11.8520 | + | 0.235709i | −0.546691 | + | 0.0108725i | ||||
\(471\) | −21.6677 | + | 22.4840i | −0.998395 | + | 1.03601i | ||||
\(472\) | −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 | ||||||
\(477\) | −4.94217 | + | 9.34140i | −0.226286 | + | 0.427713i | ||||
\(478\) | −17.0073 | − | 6.19015i | −0.777895 | − | 0.283131i | ||||
\(479\) | −28.3407 | − | 4.99723i | −1.29492 | − | 0.228329i | −0.516616 | − | 0.856217i | \(-0.672809\pi\) |
−0.778304 | + | 0.627888i | \(0.783920\pi\) | |||||||
\(480\) | 2.09811 | − | 3.25545i | 0.0957651 | − | 0.148590i | ||||
\(481\) | 6.45114 | − | 2.34802i | 0.294147 | − | 0.107061i | ||||
\(482\) | 11.7886 | − | 20.4185i | 0.536958 | − | 0.930039i | ||||
\(483\) | 1.42094 | − | 20.6267i | 0.0646548 | − | 0.938546i | ||||
\(484\) | −8.41809 | − | 7.06361i | −0.382640 | − | 0.321073i | ||||
\(485\) | −15.1942 | − | 17.3933i | −0.689932 | − | 0.789789i | ||||
\(486\) | −10.0816 | − | 11.8895i | −0.457313 | − | 0.539319i | ||||
\(487\) | 7.34528 | − | 12.7224i | 0.332847 | − | 0.576507i | −0.650222 | − | 0.759744i | \(-0.725324\pi\) |
0.983069 | + | 0.183237i | \(0.0586575\pi\) | |||||||
\(488\) | 4.76785 | + | 13.0996i | 0.215830 | + | 0.592989i | ||||
\(489\) | −10.2061 | + | 22.9872i | −0.461537 | + | 1.03952i | ||||
\(490\) | 30.9235 | + | 10.5638i | 1.39698 | + | 0.477222i | ||||
\(491\) | 6.21043 | − | 17.0630i | 0.280273 | − | 0.770043i | −0.717057 | − | 0.697014i | \(-0.754511\pi\) |
0.997330 | − | 0.0730283i | \(-0.0232663\pi\) | |||||||
\(492\) | 0.177625 | + | 1.67335i | 0.00800795 | + | 0.0754404i | ||||
\(493\) | −38.7986 | −1.74740 | ||||||||
\(494\) | −6.18164 | − | 0.203308i | −0.278125 | − | 0.00914726i | ||||
\(495\) | −0.683787 | + | 0.161108i | −0.0307340 | + | 0.00724129i | ||||
\(496\) | 2.20034 | + | 2.62226i | 0.0987980 | + | 0.117743i | ||||
\(497\) | 25.0363 | − | 68.7866i | 1.12303 | − | 3.08550i | ||||
\(498\) | −5.98728 | + | 6.21285i | −0.268296 | + | 0.278404i | ||||
\(499\) | −1.06610 | − | 6.04615i | −0.0477251 | − | 0.270663i | 0.951602 | − | 0.307332i | \(-0.0994362\pi\) |
−0.999327 | + | 0.0366694i | \(0.988325\pi\) | |||||||
\(500\) | 11.1066 | + | 1.28155i | 0.496704 | + | 0.0573125i | ||||
\(501\) | −22.7110 | + | 11.1060i | −1.01465 | + | 0.496178i | ||||
\(502\) | −5.21811 | − | 9.03804i | −0.232896 | − | 0.403387i | ||||
\(503\) | 2.08015 | + | 1.74545i | 0.0927493 | + | 0.0778259i | 0.687983 | − | 0.725727i | \(-0.258496\pi\) |
−0.595234 | + | 0.803552i | \(0.702941\pi\) | |||||||
\(504\) | 4.28252 | − | 13.2735i | 0.190759 | − | 0.591250i | ||||
\(505\) | 0.525589 | − | 0.203223i | 0.0233884 | − | 0.00904329i | ||||
\(506\) | −0.134445 | + | 0.232866i | −0.00597681 | + | 0.0103521i | ||||
\(507\) | 4.58454 | − | 18.4689i | 0.203607 | − | 0.820233i | ||||
\(508\) | 0.682958 | + | 3.87325i | 0.0303014 | + | 0.171848i | ||||
\(509\) | 3.05486 | − | 17.3250i | 0.135404 | − | 0.767917i | −0.839173 | − | 0.543865i | \(-0.816960\pi\) |
0.974577 | − | 0.224052i | \(-0.0719285\pi\) | |||||||
\(510\) | −8.78081 | − | 17.0867i | −0.388821 | − | 0.756611i | ||||
\(511\) | −26.8280 | + | 22.5114i | −1.18680 | + | 0.995843i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 16.3732 | + | 15.6499i | 0.722894 | + | 0.690959i | ||||
\(514\) | −9.34242 | −0.412076 | ||||||||
\(515\) | 28.5211 | − | 17.2317i | 1.25679 | − | 0.759320i | ||||
\(516\) | 3.64546 | + | 5.00665i | 0.160482 | + | 0.220406i | ||||
\(517\) | 0.546751 | + | 0.0964070i | 0.0240461 | + | 0.00423997i | ||||
\(518\) | −3.90596 | − | 22.1518i | −0.171618 | − | 0.973294i | ||||
\(519\) | −6.41102 | − | 1.59141i | −0.281412 | − | 0.0698551i | ||||
\(520\) | 2.47060 | + | 1.99072i | 0.108343 | + | 0.0872989i | ||||
\(521\) | −4.11931 | − | 7.13485i | −0.180470 | − | 0.312584i | 0.761571 | − | 0.648082i | \(-0.224429\pi\) |
−0.942041 | + | 0.335498i | \(0.891095\pi\) | |||||||
\(522\) | −22.3323 | − | 7.20520i | −0.977458 | − | 0.315363i | ||||
\(523\) | −11.6036 | − | 9.73660i | −0.507391 | − | 0.425752i | 0.352819 | − | 0.935692i | \(-0.385223\pi\) |
−0.860210 | + | 0.509940i | \(0.829668\pi\) | |||||||
\(524\) | −7.03037 | + | 4.05898i | −0.307123 | + | 0.177318i | ||||
\(525\) | 39.8368 | − | 5.83846i | 1.73862 | − | 0.254811i | ||||
\(526\) | 4.41912 | + | 12.1414i | 0.192683 | + | 0.529391i | ||||
\(527\) | 16.7215 | − | 2.94844i | 0.728398 | − | 0.128436i | ||||
\(528\) | −0.125867 | + | 0.130609i | −0.00547768 | + | 0.00568404i | ||||
\(529\) | 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 | ||||||||
\(534\) | 29.8909 | − | 3.17290i | 1.29351 | − | 0.137305i | ||||
\(535\) | −10.5670 | + | 19.1731i | −0.456850 | + | 0.828927i | ||||
\(536\) | −6.87076 | − | 1.21150i | −0.296771 | − | 0.0523288i | ||||
\(537\) | 38.0313 | + | 16.8855i | 1.64117 | + | 0.728665i | ||||
\(538\) | −9.49400 | − | 26.0845i | −0.409315 | − | 1.12458i | ||||
\(539\) | −1.32540 | − | 0.765223i | −0.0570892 | − | 0.0329605i | ||||
\(540\) | −1.88107 | − | 11.4657i | −0.0809482 | − | 0.493404i | ||||
\(541\) | −22.8092 | − | 19.1392i | −0.980642 | − | 0.822856i | 0.00354414 | − | 0.999994i | \(-0.498872\pi\) |
−0.984186 | + | 0.177137i | \(0.943316\pi\) | |||||||
\(542\) | −3.38219 | + | 4.03074i | −0.145278 | + | 0.173135i | ||||
\(543\) | 0.527447 | − | 7.65656i | 0.0226349 | − | 0.328574i | ||||
\(544\) | −4.29568 | − | 2.48011i | −0.184176 | − | 0.106334i | ||||
\(545\) | 4.15470 | + | 21.1000i | 0.177968 | + | 0.903825i | ||||
\(546\) | 10.4429 | + | 4.63654i | 0.446914 | + | 0.198426i | ||||
\(547\) | 2.67401 | − | 15.1651i | 0.114332 | − | 0.648411i | −0.872746 | − | 0.488174i | \(-0.837663\pi\) |
0.987079 | − | 0.160237i | \(-0.0512258\pi\) | |||||||
\(548\) | 8.23974 | + | 2.99902i | 0.351984 | + | 0.128112i | ||||
\(549\) | 36.9661 | + | 19.5573i | 1.57767 | + | 0.834685i | ||||
\(550\) | −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 | ||||
\(555\) | −11.3289 | − | 14.9261i | −0.480885 | − | 0.633576i | ||||
\(556\) | 2.54586 | + | 14.4383i | 0.107968 | + | 0.612319i | ||||
\(557\) | −5.29473 | + | 1.92712i | −0.224345 | + | 0.0816549i | −0.451747 | − | 0.892146i | \(-0.649199\pi\) |
0.227402 | + | 0.973801i | \(0.426977\pi\) | |||||||
\(558\) | 10.1723 | + | 1.40819i | 0.430629 | + | 0.0596135i | ||||
\(559\) | −4.39387 | + | 2.53680i | −0.185841 | + | 0.107295i | ||||
\(560\) | 7.82912 | − | 6.83925i | 0.330841 | − | 0.289011i | ||||
\(561\) | 0.248891 | + | 0.864612i | 0.0105082 | + | 0.0365039i | ||||
\(562\) | 5.07357 | − | 2.92923i | 0.214016 | − | 0.123562i | ||||
\(563\) | −18.1001 | − | 10.4501i | −0.762827 | − | 0.440418i | 0.0674831 | − | 0.997720i | \(-0.478503\pi\) |
−0.830310 | + | 0.557302i | \(0.811836\pi\) | |||||||
\(564\) | −2.21219 | + | 8.91185i | −0.0931501 | + | 0.375257i | ||||
\(565\) | −3.10864 | + | 0.0618238i | −0.130781 | + | 0.00260095i | ||||
\(566\) | 5.68139 | − | 32.2208i | 0.238807 | − | 1.35434i | ||||
\(567\) | −17.1765 | − | 38.1537i | −0.721345 | − | 1.60231i | ||||
\(568\) | −10.1209 | − | 12.0616i | −0.424662 | − | 0.506092i | ||||
\(569\) | −17.8675 | −0.749045 | −0.374522 | − | 0.927218i | \(-0.622193\pi\) | ||||
−0.374522 | + | 0.927218i | \(0.622193\pi\) | |||||||
\(570\) | 4.45890 | + | 16.2824i | 0.186763 | + | 0.681997i | ||||
\(571\) | 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 | ||||
\(573\) | −8.22305 | − | 11.2935i | −0.343523 | − | 0.471793i | ||||
\(574\) | −0.784328 | + | 4.44814i | −0.0327372 | + | 0.185662i | ||||
\(575\) | 1.72485 | − | 12.7216i | 0.0719314 | − | 0.530529i | ||||
\(576\) | −2.01200 | − | 2.22528i | −0.0838332 | − | 0.0927200i | ||||
\(577\) | 9.66319 | + | 5.57905i | 0.402284 | + | 0.232259i | 0.687469 | − | 0.726214i | \(-0.258722\pi\) |
−0.285185 | + | 0.958472i | \(0.592055\pi\) | |||||||
\(578\) | −6.58509 | + | 3.80191i | −0.273904 | + | 0.158138i | ||||
\(579\) | 28.4896 | − | 8.20115i | 1.18399 | − | 0.340828i | ||||
\(580\) | −11.5068 | − | 13.1722i | −0.477795 | − | 0.546948i | ||||
\(581\) | −20.0568 | + | 11.5798i | −0.832097 | + | 0.480411i | ||||
\(582\) | −16.0709 | + | 7.85885i | −0.666159 | + | 0.325760i | ||||
\(583\) | 0.346667 | − | 0.126176i | 0.0143575 | − | 0.00522569i | ||||
\(584\) | 1.30808 | + | 7.41852i | 0.0541289 | + | 0.306980i | ||||
\(585\) | 9.50310 | − | 0.540918i | 0.392905 | − | 0.0223642i | ||||
\(586\) | 22.6674 | + | 8.25027i | 0.936383 | + | 0.340816i | ||||
\(587\) | 15.8043 | − | 13.2614i | 0.652313 | − | 0.547356i | −0.255459 | − | 0.966820i | \(-0.582226\pi\) |
0.907772 | + | 0.419464i | \(0.137782\pi\) | |||||||
\(588\) | 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 | ||||
\(591\) | 4.33379 | + | 40.8273i | 0.178268 | + | 1.67941i | ||||
\(592\) | −4.54648 | − | 1.65478i | −0.186859 | − | 0.0680111i | ||||
\(593\) | 4.71813 | − | 26.7579i | 0.193751 | − | 1.09881i | −0.720436 | − | 0.693521i | \(-0.756058\pi\) |
0.914187 | − | 0.405293i | \(-0.132830\pi\) | |||||||
\(594\) | −0.0173047 | + | 0.543887i | −0.000710019 | + | 0.0223160i | ||||
\(595\) | −9.96212 | − | 50.5935i | −0.408407 | − | 2.07413i | ||||
\(596\) | 12.7646 | + | 7.36966i | 0.522860 | + | 0.301873i | ||||
\(597\) | 11.0930 | + | 0.764178i | 0.454006 | + | 0.0312757i | ||||
\(598\) | 2.34184 | − | 2.79090i | 0.0957649 | − | 0.114128i | ||||
\(599\) | 30.3008 | + | 25.4254i | 1.23806 | + | 1.03885i | 0.997673 | + | 0.0681734i | \(0.0217171\pi\) |
0.240382 | + | 0.970678i | \(0.422727\pi\) | |||||||
\(600\) | 3.19678 | − | 8.04864i | 0.130508 | − | 0.328584i | ||||
\(601\) | 23.4964 | + | 13.5657i | 0.958440 | + | 0.553355i | 0.895692 | − | 0.444674i | \(-0.146681\pi\) |
0.0627471 | + | 0.998029i | \(0.480014\pi\) | |||||||
\(602\) | 5.68559 | + | 15.6210i | 0.231727 | + | 0.636666i | ||||
\(603\) | −17.7269 | + | 11.1280i | −0.721895 | + | 0.453167i | ||||
\(604\) | 17.5401 | + | 3.09279i | 0.713695 | + | 0.125844i | ||||
\(605\) | −21.5203 | − | 11.8606i | −0.874923 | − | 0.482200i | ||||
\(606\) | −0.0460746 | − | 0.434054i | −0.00187165 | − | 0.0176323i | ||||
\(607\) | 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 | ||||
\(612\) | −14.5491 | + | 3.12395i | −0.588111 | + | 0.126278i | ||||
\(613\) | 5.75767 | − | 1.01523i | 0.232550 | − | 0.0410049i | −0.0561585 | − | 0.998422i | \(-0.517885\pi\) |
0.288709 | + | 0.957417i | \(0.406774\pi\) | |||||||
\(614\) | 2.19838 | + | 6.04000i | 0.0887195 | + | 0.243755i | ||||
\(615\) | 1.11258 | + | 3.59450i | 0.0448637 | + | 0.144944i | ||||
\(616\) | −0.421644 | + | 0.243436i | −0.0169885 | + | 0.00980832i | ||||
\(617\) | −18.0654 | − | 15.1587i | −0.727286 | − | 0.610265i | 0.202104 | − | 0.979364i | \(-0.435222\pi\) |
−0.929390 | + | 0.369099i | \(0.879666\pi\) | |||||||
\(618\) | −7.14023 | − | 24.8042i | −0.287222 | − | 0.997770i | ||||
\(619\) | 8.89449 | + | 15.4057i | 0.357500 | + | 0.619208i | 0.987542 | − | 0.157353i | \(-0.0502959\pi\) |
−0.630043 | + | 0.776561i | \(0.716963\pi\) | |||||||
\(620\) | 5.96022 | + | 4.80254i | 0.239368 | + | 0.192875i | ||||
\(621\) | −13.2060 | + | 1.89776i | −0.529939 | + | 0.0761544i | ||||
\(622\) | −1.35476 | − | 7.68323i | −0.0543210 | − | 0.308069i | ||||
\(623\) | 79.4569 | + | 14.0104i | 3.18337 | + | 0.561315i | ||||
\(624\) | 1.98680 | − | 1.44663i | 0.0795355 | − | 0.0579116i | ||||
\(625\) | 24.9210 | − | 1.98642i | 0.996838 | − | 0.0794567i | ||||
\(626\) | −31.3013 | −1.25105 | ||||||||
\(627\) | −0.0575685 | − | 0.788551i | −0.00229906 | − | 0.0314917i | ||||
\(628\) | 18.0279i | 0.719393i | ||||||||
\(629\) | −18.3842 | + | 15.4262i | −0.733025 | + | 0.615081i | ||||
\(630\) | 3.66145 | − | 30.9714i | 0.145876 | − | 1.23393i | ||||
\(631\) | −1.34554 | + | 7.63096i | −0.0535652 | + | 0.303784i | −0.999806 | − | 0.0196786i | \(-0.993736\pi\) |
0.946241 | + | 0.323462i | \(0.104847\pi\) | |||||||
\(632\) | 0.907108 | + | 5.14447i | 0.0360828 | + | 0.204636i | ||||
\(633\) | 11.5415 | + | 2.86495i | 0.458733 | + | 0.113872i | ||||
\(634\) | 8.72155 | − | 15.1062i | 0.346377 | − | 0.599942i | ||||
\(635\) | 3.17161 | + | 8.20264i | 0.125861 | + | 0.325512i | ||||
\(636\) | 1.68788 | + | 5.86345i | 0.0669287 | + | 0.232501i | ||||
\(637\) | 15.8850 | + | 13.3291i | 0.629386 | + | 0.528117i | ||||
\(638\) | 0.409574 | + | 0.709402i | 0.0162152 | + | 0.0280855i | ||||
\(639\) | −46.7896 | − | 6.47724i | −1.85097 | − | 0.256236i | ||||
\(640\) | −0.431998 | − | 2.19394i | −0.0170762 | − | 0.0867231i | ||||
\(641\) | −6.12309 | − | 34.7258i | −0.241847 | − | 1.37159i | −0.827702 | − | 0.561169i | \(-0.810352\pi\) |
0.585854 | − | 0.810417i | \(-0.300759\pi\) | |||||||
\(642\) | 12.2105 | + | 11.7672i | 0.481909 | + | 0.464413i | ||||
\(643\) | 7.08140 | − | 19.4560i | 0.279263 | − | 0.767269i | −0.718184 | − | 0.695854i | \(-0.755026\pi\) |
0.997447 | − | 0.0714154i | \(-0.0227516\pi\) | |||||||
\(644\) | −7.67298 | − | 9.14430i | −0.302358 | − | 0.360336i | ||||
\(645\) | 10.1608 | + | 9.40947i | 0.400081 | + | 0.370497i | ||||
\(646\) | 20.5493 | − | 6.72301i | 0.808501 | − | 0.264513i | ||||
\(647\) | −39.3673 | −1.54769 | −0.773843 | − | 0.633377i | \(-0.781668\pi\) | ||||
−0.773843 | + | 0.633377i | \(0.781668\pi\) | |||||||
\(648\) | −8.95451 | − | 0.903744i | −0.351766 | − | 0.0355024i | ||||
\(649\) | 0.0930385 | − | 0.255621i | 0.00365208 | − | 0.0100340i | ||||
\(650\) | 6.28033 | + | 3.30023i | 0.246335 | + | 0.129446i | ||||
\(651\) | 25.1930 | + | 11.1855i | 0.987392 | + | 0.438393i | ||||
\(652\) | 4.96647 | + | 13.6453i | 0.194502 | + | 0.534390i | ||||
\(653\) | −10.7121 | + | 18.5539i | −0.419196 | + | 0.726069i | −0.995859 | − | 0.0909135i | \(-0.971021\pi\) |
0.576663 | + | 0.816982i | \(0.304355\pi\) | |||||||
\(654\) | 16.6184 | + | 1.14482i | 0.649832 | + | 0.0447658i | ||||
\(655\) | −13.6707 | + | 11.9423i | −0.534160 | + | 0.466624i | ||||
\(656\) | 0.744240 | + | 0.624492i | 0.0290577 | + | 0.0243823i | ||||
\(657\) | 17.8369 | + | 13.8764i | 0.695883 | + | 0.541371i | ||||
\(658\) | −12.3234 | + | 21.3447i | −0.480415 | + | 0.832104i | ||||
\(659\) | 2.57407 | − | 0.936884i | 0.100271 | − | 0.0364958i | −0.291397 | − | 0.956602i | \(-0.594120\pi\) |
0.391669 | + | 0.920106i | \(0.371898\pi\) | |||||||
\(660\) | −0.219723 | + | 0.340924i | −0.00855269 | + | 0.0132704i | ||||
\(661\) | −35.3289 | − | 6.22944i | −1.37413 | − | 0.242297i | −0.562662 | − | 0.826687i | \(-0.690223\pi\) |
−0.811473 | + | 0.584390i | \(0.801334\pi\) | |||||||
\(662\) | 0.132062 | + | 0.0480668i | 0.00513275 | + | 0.00186817i | ||||
\(663\) | −1.28679 | − | 12.1224i | −0.0499747 | − | 0.470797i | ||||
\(664\) | 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 | ||||
\(669\) | −17.3809 | − | 16.7499i | −0.671986 | − | 0.647588i | ||||
\(670\) | −15.5974 | + | 0.310197i | −0.602580 | + | 0.0119840i | ||||
\(671\) | −0.499309 | − | 1.37184i | −0.0192756 | − | 0.0529593i | ||||
\(672\) | −3.53745 | − | 7.23386i | −0.136460 | − | 0.279052i | ||||
\(673\) | 6.79756 | + | 11.7737i | 0.262027 | + | 0.453843i | 0.966780 | − | 0.255609i | \(-0.0822759\pi\) |
−0.704754 | + | 0.709452i | \(0.748943\pi\) | |||||||
\(674\) | 9.40690 | − | 11.2107i | 0.362340 | − | 0.431821i | ||||
\(675\) | −9.08010 | − | 24.3424i | −0.349493 | − | 0.936939i | ||||
\(676\) | −5.49332 | − | 9.51470i | −0.211281 | − | 0.365950i | ||||
\(677\) | 20.5592 | + | 11.8699i | 0.790155 | + | 0.456196i | 0.840017 | − | 0.542560i | \(-0.182545\pi\) |
−0.0498619 | + | 0.998756i | \(0.515878\pi\) | |||||||
\(678\) | −0.580233 | + | 2.33748i | −0.0222837 | + | 0.0897703i | ||||
\(679\) | −47.2887 | + | 8.33827i | −1.81477 | + | 0.319993i | ||||
\(680\) | −10.4959 | − | 3.58549i | −0.402498 | − | 0.137497i | ||||
\(681\) | 1.61955 | + | 2.22428i | 0.0620613 | + | 0.0852347i | ||||
\(682\) | −0.230428 | − | 0.274614i | −0.00882355 | − | 0.0105155i | ||||
\(683\) | 10.3244i | 0.395053i | 0.980298 | + | 0.197527i | \(0.0632909\pi\) | ||||
−0.980298 | + | 0.197527i | \(0.936709\pi\) | |||||||
\(684\) | 13.0766 | − | 0.0535686i | 0.499996 | − | 0.00204825i | ||||
\(685\) | 19.3731 | + | 3.02012i | 0.740207 | + | 0.115393i | ||||
\(686\) | 27.1169 | − | 22.7537i | 1.03533 | − | 0.868742i | ||||
\(687\) | −23.6832 | + | 17.2443i | −0.903571 | + | 0.657910i | ||||
\(688\) | 3.52133 | + | 0.620906i | 0.134250 | + | 0.0236718i | ||||
\(689\) | −4.92258 | + | 0.867983i | −0.187535 | + | 0.0330675i | ||||
\(690\) | −9.16718 | − | 3.85380i | −0.348989 | − | 0.146712i | ||||
\(691\) | −21.6242 | + | 37.4542i | −0.822624 | + | 1.42483i | 0.0810981 | + | 0.996706i | \(0.474157\pi\) |
−0.903722 | + | 0.428120i | \(0.859176\pi\) | |||||||
\(692\) | −3.30279 | + | 1.90687i | −0.125553 | + | 0.0724882i | ||||
\(693\) | −0.448483 | + | 1.39006i | −0.0170365 | + | 0.0528040i | ||||
\(694\) | −5.65691 | + | 6.74164i | −0.214733 | + | 0.255909i | ||||
\(695\) | 11.8228 | + | 30.5769i | 0.448463 | + | 1.15985i | ||||
\(696\) | −12.1707 | + | 5.95164i | −0.461331 | + | 0.225596i | ||||
\(697\) | 4.52841 | − | 1.64821i | 0.171526 | − | 0.0624303i | ||||
\(698\) | −6.55762 | + | 1.15629i | −0.248210 | + | 0.0437661i | ||||
\(699\) | −18.1965 | − | 17.5359i | −0.688256 | − | 0.663268i | ||||
\(700\) | 14.2221 | − | 18.3871i | 0.537544 | − | 0.694966i | ||||
\(701\) | 23.1763 | + | 27.6204i | 0.875355 | + | 1.04321i | 0.998707 | + | 0.0508447i | \(0.0161913\pi\) |
−0.123351 | + | 0.992363i | \(0.539364\pi\) | |||||||
\(702\) | 1.51056 | − | 7.21658i | 0.0570124 | − | 0.272372i | ||||
\(703\) | 18.6008 | − | 9.93868i | 0.701541 | − | 0.374844i | ||||
\(704\) | 0.104724i | 0.00394694i | ||||||||
\(705\) | −1.00352 | + | 20.5077i | −0.0377946 | + | 0.772366i | ||||
\(706\) | −5.29715 | + | 14.5538i | −0.199361 | + | 0.547740i | ||||
\(707\) | 0.203449 | − | 1.15382i | 0.00765148 | − | 0.0433937i | ||||
\(708\) | 4.11201 | + | 1.82570i | 0.154539 | + | 0.0686139i | ||||
\(709\) | 20.4424 | − | 7.44043i | 0.767731 | − | 0.279431i | 0.0716841 | − | 0.997427i | \(-0.477163\pi\) |
0.696047 | + | 0.717996i | \(0.254940\pi\) | |||||||
\(710\) | −27.4151 | − | 22.0902i | −1.02887 | − | 0.829029i | ||||
\(711\) | 12.3692 | + | 9.62278i | 0.463882 | + | 0.360883i | ||||
\(712\) | 11.1553 | − | 13.2943i | 0.418061 | − | 0.498225i | ||||
\(713\) | 5.64960 | − | 6.73293i | 0.211579 | − | 0.252150i | ||||
\(714\) | −39.8476 | − | 2.74503i | −1.49126 | − | 0.102730i | ||||
\(715\) | −0.258731 | − | 0.208477i | −0.00967600 | − | 0.00779658i | ||||
\(716\) | 22.5754 | − | 8.21679i | 0.843684 | − | 0.307076i | ||||
\(717\) | −12.7208 | + | 28.6510i | −0.475066 | + | 1.06999i | ||||
\(718\) | 1.76453 | − | 10.0071i | 0.0658517 | − | 0.373463i | ||||
\(719\) | −3.97741 | + | 10.9278i | −0.148332 | + | 0.407539i | −0.991499 | − | 0.130112i | \(-0.958466\pi\) |
0.843167 | + | 0.537652i | \(0.180688\pi\) | |||||||
\(720\) | −5.37552 | − | 4.01295i | −0.200334 | − | 0.149554i | ||||
\(721\) | − | 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 | ||||
\(726\) | −13.2077 | + | 13.7053i | −0.490182 | + | 0.508650i | ||||
\(727\) | 17.0160 | − | 3.00037i | 0.631087 | − | 0.111278i | 0.151051 | − | 0.988526i | \(-0.451734\pi\) |
0.480037 | + | 0.877248i | \(0.340623\pi\) | |||||||
\(728\) | 6.19891 | − | 2.25622i | 0.229747 | − | 0.0836211i | ||||
\(729\) | −21.7446 | + | 16.0054i | −0.805356 | + | 0.592791i | ||||
\(730\) | 6.07465 | + | 15.7107i | 0.224833 | + | 0.581479i | ||||
\(731\) | 11.4005 | − | 13.5866i | 0.421663 | − | 0.502519i | ||||
\(732\) | 23.2030 | − | 6.67932i | 0.857608 | − | 0.246875i | ||||
\(733\) | −18.0954 | + | 10.4474i | −0.668370 | + | 0.385883i | −0.795459 | − | 0.606008i | \(-0.792770\pi\) |
0.127089 | + | 0.991891i | \(0.459437\pi\) | |||||||
\(734\) | 1.91466 | − | 3.31628i | 0.0706713 | − | 0.122406i | ||||
\(735\) | 21.9347 | − | 52.1770i | 0.809075 | − | 1.92458i | ||||
\(736\) | −2.52860 | + | 0.445860i | −0.0932054 | + | 0.0164346i | ||||
\(737\) | 0.719534 | + | 0.126873i | 0.0265044 | + | 0.00467343i | ||||
\(738\) | 2.91262 | − | 0.107739i | 0.107215 | − | 0.00396594i | ||||
\(739\) | −16.6566 | + | 13.9765i | −0.612721 | + | 0.514134i | −0.895506 | − | 0.445049i | \(-0.853186\pi\) |
0.282785 | + | 0.959183i | \(0.408742\pi\) | |||||||
\(740\) | −10.6896 | − | 1.66642i | −0.392956 | − | 0.0612589i | ||||
\(741\) | −1.08714 | + | 10.6574i | −0.0399372 | + | 0.391509i | ||||
\(742\) | 16.3775i | 0.601238i | ||||||||
\(743\) | −10.9830 | − | 13.0890i | −0.402927 | − | 0.480190i | 0.525983 | − | 0.850495i | \(-0.323697\pi\) |
−0.928910 | + | 0.370305i | \(0.879253\pi\) | |||||||
\(744\) | 4.79307 | − | 3.48994i | 0.175722 | − | 0.127947i | ||||
\(745\) | 31.1885 | + | 10.6543i | 1.14266 | + | 0.390344i | ||||
\(746\) | −10.3573 | + | 1.82628i | −0.379209 | + | 0.0668648i | ||||
\(747\) | 10.0228 | + | 11.0853i | 0.366716 | + | 0.405590i | ||||
\(748\) | 0.449861 | + | 0.259727i | 0.0164486 | + | 0.00949658i | ||||
\(749\) | 22.7585 | + | 39.4189i | 0.831577 | + | 1.44033i | ||||
\(750\) | 3.53655 | − | 19.0392i | 0.129136 | − | 0.695215i | ||||
\(751\) | 3.26720 | − | 3.89370i | 0.119222 | − | 0.142083i | −0.703132 | − | 0.711059i | \(-0.748216\pi\) |
0.822354 | + | 0.568976i | \(0.192660\pi\) | |||||||
\(752\) | 2.65071 | + | 4.59116i | 0.0966613 | + | 0.167422i | ||||
\(753\) | −16.2385 | + | 7.94082i | −0.591763 | + | 0.289379i | ||||
\(754\) | −3.79602 | − | 10.4295i | −0.138243 | − | 0.379819i | ||||
\(755\) | 39.8179 | − | 0.791889i | 1.44912 | − | 0.0288198i | ||||
\(756\) | −22.4263 | − | 8.98003i | −0.815637 | − | 0.326600i | ||||
\(757\) | −7.50444 | + | 20.6183i | −0.272754 | + | 0.749385i | 0.725382 | + | 0.688347i | \(0.241663\pi\) |
−0.998135 | + | 0.0610378i | \(0.980559\pi\) | |||||||
\(758\) | −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 | \(-0.281375\pi\) | |||||||
\(762\) | 6.77410 | − | 0.719066i | 0.245400 | − | 0.0260490i | ||||
\(763\) | 42.0157 | + | 15.2925i | 1.52107 | + | 0.553624i | ||||
\(764\) | −7.94306 | − | 1.40058i | −0.287370 | − | 0.0506711i | ||||
\(765\) | −30.5702 | + | 13.1389i | −1.10527 | + | 0.475039i | ||||
\(766\) | −5.63403 | + | 2.05062i | −0.203566 | + | 0.0740918i | ||||
\(767\) | −1.84287 | + | 3.19195i | −0.0665423 | + | 0.115255i | ||||
\(768\) | −1.72796 | − | 0.119036i | −0.0623522 | − | 0.00429534i | ||||
\(769\) | −5.51613 | − | 4.62858i | −0.198917 | − | 0.166911i | 0.537889 | − | 0.843016i | \(-0.319222\pi\) |
−0.736805 | + | 0.676105i | \(0.763667\pi\) | |||||||
\(770\) | −0.819897 | + | 0.716234i | −0.0295471 | + | 0.0258113i | ||||
\(771\) | −1.11208 | + | 16.1433i | −0.0400507 | + | 0.581386i | ||||
\(772\) | 8.55822 | − | 14.8233i | 0.308017 | − | 0.533501i | ||||
\(773\) | 0.874302 | + | 2.40212i | 0.0314465 | + | 0.0863984i | 0.954422 | − | 0.298459i | \(-0.0964727\pi\) |
−0.922976 | + | 0.384858i | \(0.874251\pi\) | |||||||
\(774\) | 9.08521 | − | 5.70322i | 0.326561 | − | 0.204998i | ||||
\(775\) | 15.1511 | + | 7.96168i | 0.544242 | + | 0.285992i | ||||
\(776\) | −3.53256 | + | 9.70562i | −0.126811 | + | 0.348411i | ||||
\(777\) | −38.7423 | + | 4.11246i | −1.38987 | + | 0.147534i | ||||
\(778\) | 34.2743 | 1.22879 | ||||||||
\(779\) | −4.19241 | + | 0.597884i | −0.150209 | + | 0.0214214i | ||||
\(780\) | 3.73397 | − | 4.03212i | 0.133698 | − | 0.144373i | ||||
\(781\) | 1.05990 | + | 1.26314i | 0.0379261 | + | 0.0451986i | ||||
\(782\) | −4.35593 | + | 11.9678i | −0.155768 | + | 0.427969i | ||||
\(783\) | −15.1086 | + | 37.7316i | −0.539938 | + | 1.34842i | ||||
\(784\) | −2.53771 | − | 14.3921i | −0.0906324 | − | 0.514002i | ||||
\(785\) | 7.78804 | + | 39.5523i | 0.277967 | + | 1.41168i | ||||
\(786\) | 6.17688 | + | 12.6313i | 0.220322 | + | 0.450545i | ||||
\(787\) | −0.218345 | − | 0.378184i | −0.00778315 | − | 0.0134808i | 0.862108 | − | 0.506725i | \(-0.169144\pi\) |
−0.869891 | + | 0.493244i | \(0.835811\pi\) | |||||||
\(788\) | 18.1584 | + | 15.2367i | 0.646866 | + | 0.542785i | ||||
\(789\) | 21.5059 | − | 6.19077i | 0.765630 | − | 0.220397i | ||||
\(790\) | 4.21254 | + | 10.8948i | 0.149876 | + | 0.387619i | ||||
\(791\) | −3.23228 | + | 5.59848i | −0.114927 | + | 0.199059i | ||||
\(792\) | 0.210704 | + | 0.233040i | 0.00748706 | + | 0.00828073i | ||||
\(793\) | 3.43481 | + | 19.4798i | 0.121974 | + | 0.691747i | ||||
\(794\) | −4.18108 | + | 23.7121i | −0.148381 | + | 0.841511i | ||||
\(795\) | 6.23610 | + | 12.1349i | 0.221172 | + | 0.430380i | ||||
\(796\) | 4.91779 | − | 4.12652i | 0.174307 | − | 0.146261i | ||||
\(797\) | 14.2821i | 0.505898i | 0.967480 | + | 0.252949i | \(0.0814005\pi\) | ||||
−0.967480 | + | 0.252949i | \(0.918600\pi\) | |||||||
\(798\) | 33.7697 | + | 9.57145i | 1.19543 | + | 0.338826i | ||||
\(799\) | 26.2962 | 0.930292 | ||||||||
\(800\) | −1.89556 | − | 4.62675i | −0.0670181 | − | 0.163580i | ||||
\(801\) | −1.92454 | − | 52.0279i | −0.0680003 | − | 1.83832i | ||||
\(802\) | 11.8344 | + | 2.08673i | 0.417887 | + | 0.0736848i | ||||
\(803\) | −0.136988 | − | 0.776898i | −0.00483420 | − | 0.0274161i | ||||
\(804\) | −2.91128 | + | 11.7281i | −0.102673 | + | 0.413620i | ||||
\(805\) | −20.7844 | − | 16.7473i | −0.732554 | − | 0.590266i | ||||
\(806\) | 2.42858 | + | 4.20643i | 0.0855432 | + | 0.148165i | ||||
\(807\) | −46.2031 | + | 13.3002i | −1.62642 | + | 0.468190i | ||||
\(808\) | −0.193050 | − | 0.161988i | −0.00679149 | − | 0.00569873i | ||||
\(809\) | −16.2829 | + | 9.40094i | −0.572476 | + | 0.330519i | −0.758138 | − | 0.652094i | \(-0.773891\pi\) |
0.185661 | + | 0.982614i | \(0.440557\pi\) | |||||||
\(810\) | −20.0361 | + | 1.88557i | −0.703996 | + | 0.0662523i | ||||
\(811\) | −0.0966504 | − | 0.265545i | −0.00339386 | − | 0.00932454i | 0.937984 | − | 0.346678i | \(-0.112690\pi\) |
−0.941378 | + | 0.337354i | \(0.890468\pi\) | |||||||
\(812\) | −35.8125 | + | 6.31472i | −1.25677 | + | 0.221603i | ||||
\(813\) | 6.56234 | + | 6.32408i | 0.230151 | + | 0.221795i | ||||
\(814\) | 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 | ||||||||
\(819\) | 9.25481 | − | 17.4929i | 0.323389 | − | 0.611252i | ||||
\(820\) | 1.90260 | + | 1.04859i | 0.0664416 | + | 0.0366183i | ||||
\(821\) | 5.42717 | + | 0.956956i | 0.189410 | + | 0.0333980i | 0.267548 | − | 0.963544i | \(-0.413787\pi\) |
−0.0781386 | + | 0.996943i | \(0.524898\pi\) | |||||||
\(822\) | 6.16300 | − | 13.8809i | 0.214959 | − | 0.484152i | ||||
\(823\) | 1.02518 | + | 2.81666i | 0.0357355 | + | 0.0981824i | 0.956277 | − | 0.292462i | \(-0.0944745\pi\) |
−0.920542 | + | 0.390644i | \(0.872252\pi\) | |||||||
\(824\) | −12.9057 | − | 7.45112i | −0.449592 | − | 0.259572i | ||||
\(825\) | −0.334780 | + | 0.842887i | −0.0116555 | + | 0.0293455i | ||||
\(826\) | 9.25096 | + | 7.76247i | 0.321882 | + | 0.270091i | ||||
\(827\) | −20.5422 | + | 24.4813i | −0.714324 | + | 0.851298i | −0.994066 | − | 0.108777i | \(-0.965306\pi\) |
0.279743 | + | 0.960075i | \(0.409751\pi\) | |||||||
\(828\) | −4.72977 | + | 6.07969i | −0.164371 | + | 0.211284i | ||||
\(829\) | 32.0273 | + | 18.4910i | 1.11235 | + | 0.642217i | 0.939438 | − | 0.342719i | \(-0.111348\pi\) |
0.172915 | + | 0.984937i | \(0.444681\pi\) | |||||||
\(830\) | 2.15201 | + | 10.9292i | 0.0746975 | + | 0.379358i | ||||
\(831\) | 10.2638 | − | 23.1172i | 0.356049 | − | 0.801928i | ||||
\(832\) | 0.246395 | − | 1.39737i | 0.00854220 | − | 0.0484452i | ||||
\(833\) | −68.1174 | − | 24.7927i | −2.36013 | − | 0.859017i | ||||
\(834\) | 25.2517 | − | 2.68045i | 0.874396 | − | 0.0928165i | ||||
\(835\) | −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 | \(-0.529934\pi\) |
−0.711880 | + | 0.702301i | \(0.752156\pi\) | |||||||
\(840\) | −10.8860 | − | 14.3425i | −0.375602 | − | 0.494863i | ||||
\(841\) | 5.58851 | + | 31.6940i | 0.192707 | + | 1.09290i | ||||
\(842\) | 13.0758 | − | 4.75919i | 0.450621 | − | 0.164013i | ||||
\(843\) | −4.45764 | − | 9.11559i | −0.153529 | − | 0.313958i | ||||
\(844\) | 5.94588 | − | 3.43286i | 0.204666 | − | 0.118164i | ||||
\(845\) | −16.1624 | − | 18.5016i | −0.556002 | − | 0.636474i | ||||
\(846\) | 15.1360 | + | 4.88340i | 0.520385 | + | 0.167895i | ||||
\(847\) | −44.2444 | + | 25.5445i | −1.52026 | + | 0.877720i | ||||
\(848\) | 3.05078 | + | 1.76137i | 0.104764 | + | 0.0604856i | ||||
\(849\) | −54.9997 | − | 13.6526i | −1.88759 | − | 0.468556i | ||||
\(850\) | −24.5762 | − | 3.33216i | −0.842958 | − | 0.114292i | ||||
\(851\) | −2.15719 | + | 12.2340i | −0.0739474 | + | 0.419376i | ||||
\(852\) | −22.0466 | + | 16.0526i | −0.755304 | + | 0.549954i | ||||
\(853\) | −8.70427 | − | 10.3733i | −0.298029 | − | 0.355177i | 0.596161 | − | 0.802865i | \(-0.296692\pi\) |
−0.894190 | + | 0.447688i | \(0.852247\pi\) | |||||||
\(854\) | 64.8096 | 2.21774 | ||||||||
\(855\) | 28.6661 | − | 5.76659i | 0.980361 | − | 0.197213i | ||||
\(856\) | 9.79051 | 0.334633 | ||||||||
\(857\) | 3.60871 | + | 4.30070i | 0.123271 | + | 0.146909i | 0.824150 | − | 0.566371i | \(-0.191653\pi\) |
−0.700879 | + | 0.713280i | \(0.747209\pi\) | |||||||
\(858\) | −0.208065 | + | 0.151497i | −0.00710323 | + | 0.00517203i | ||||
\(859\) | −8.00419 | + | 45.3940i | −0.273100 | + | 1.54882i | 0.471835 | + | 0.881687i | \(0.343592\pi\) |
−0.744935 | + | 0.667138i | \(0.767519\pi\) | |||||||
\(860\) | 7.99383 | − | 0.158979i | 0.272587 | − | 0.00542115i | ||||
\(861\) | 7.59283 | + | 1.88477i | 0.258763 | + | 0.0642329i | ||||
\(862\) | 16.6353 | + | 9.60439i | 0.566600 | + | 0.327127i | ||||
\(863\) | 32.7774 | − | 18.9240i | 1.11575 | − | 0.644181i | 0.175441 | − | 0.984490i | \(-0.443865\pi\) |
0.940314 | + | 0.340309i | \(0.110532\pi\) | |||||||
\(864\) | −4.08469 | + | 3.21175i | −0.138964 | + | 0.109266i | ||||
\(865\) | −6.42237 | + | 5.61036i | −0.218367 | + | 0.190758i | ||||
\(866\) | −29.0943 | + | 16.7976i | −0.988664 | + | 0.570805i | ||||
\(867\) | 5.78566 | + | 11.8313i | 0.196491 | + | 0.401812i | ||||
\(868\) | 14.9546 | − | 5.44304i | 0.507593 | − | 0.184749i | ||||
\(869\) | −0.0949961 | − | 0.538750i | −0.00322252 | − | 0.0182758i | ||||
\(870\) | −24.1308 | + | 18.3153i | −0.818110 | + | 0.620947i | ||||
\(871\) | −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 | ||||
\(876\) | 12.9746 | − | 1.37724i | 0.438370 | − | 0.0465327i | ||||
\(877\) | −31.1984 | − | 11.3553i | −1.05349 | − | 0.383441i | −0.243514 | − | 0.969897i | \(-0.578300\pi\) |
−0.809980 | + | 0.586457i | \(0.800522\pi\) | |||||||
\(878\) | −4.61785 | + | 26.1891i | −0.155845 | + | 0.883840i | ||||
\(879\) | 16.9543 | − | 38.1862i | 0.571856 | − | 1.28799i | ||||
\(880\) | 0.0452407 | + | 0.229759i | 0.00152506 | + | 0.00774516i | ||||
\(881\) | 10.6331 | + | 6.13903i | 0.358239 | + | 0.206829i | 0.668308 | − | 0.743885i | \(-0.267019\pi\) |
−0.310069 | + | 0.950714i | \(0.600352\pi\) | |||||||
\(882\) | −34.6039 | − | 26.9205i | −1.16517 | − | 0.906460i | ||||
\(883\) | −1.21639 | + | 1.44963i | −0.0409346 | + | 0.0487840i | −0.786123 | − | 0.618070i | \(-0.787915\pi\) |
0.745189 | + | 0.666854i | \(0.232359\pi\) | |||||||
\(884\) | −5.39159 | − | 4.52408i | −0.181339 | − | 0.152161i | ||||
\(885\) | 9.81022 | + | 2.22909i | 0.329767 | + | 0.0749299i | ||||
\(886\) | −26.2730 | − | 15.1687i | −0.882658 | − | 0.509603i | ||||
\(887\) | 11.6872 | + | 32.1104i | 0.392419 | + | 1.07816i | 0.965894 | + | 0.258939i | \(0.0833730\pi\) |
−0.573474 | + | 0.819224i | \(0.694405\pi\) | |||||||
\(888\) | −3.40058 | + | 7.65913i | −0.114116 | + | 0.257024i | ||||
\(889\) | 18.0071 | + | 3.17514i | 0.603939 | + | 0.106491i | ||||
\(890\) | 18.7308 | − | 33.9860i | 0.627859 | − | 1.13921i | ||||
\(891\) | 0.937753 | + | 0.0946438i | 0.0314159 | + | 0.00317069i | ||||
\(892\) | −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 | ||||
\(897\) | −4.54378 | − | 4.37881i | −0.151712 | − | 0.146204i | ||||
\(898\) | −4.26339 | + | 0.751751i | −0.142271 | + | 0.0250863i | ||||
\(899\) | −9.15775 | − | 25.1607i | −0.305428 | − | 0.839156i | ||||
\(900\) | −13.5272 | − | 6.48197i | −0.450905 | − | 0.216066i | ||||
\(901\) | 15.1325 | − | 8.73677i | 0.504138 | − | 0.291064i | ||||
\(902\) | −0.0779399 | − | 0.0653993i | −0.00259511 | − | 0.00217756i | ||||
\(903\) | 27.6692 | − | 7.96499i | 0.920775 | − | 0.265058i | ||||
\(904\) | 0.695250 | + | 1.20421i | 0.0231237 | + | 0.0400514i | ||||
\(905\) | −7.71510 | − | 6.21656i | −0.256459 | − | 0.206645i | ||||
\(906\) | 7.43209 | − | 29.9403i | 0.246915 | − | 0.994700i | ||||
\(907\) | −6.05787 | − | 34.3559i | −0.201148 | − | 1.14077i | −0.903387 | − | 0.428826i | \(-0.858927\pi\) |
0.702239 | − | 0.711941i | \(-0.252184\pi\) | |||||||
\(908\) | 1.56441 | + | 0.275847i | 0.0519167 | + | 0.00915431i | ||||
\(909\) | −0.755511 | + | 0.0279468i | −0.0250587 | + | 0.000926936i | ||||
\(910\) | 12.6254 | − | 7.62793i | 0.418527 | − | 0.252864i | ||||
\(911\) | −39.7431 | −1.31675 | −0.658374 | − | 0.752691i | \(-0.728755\pi\) | ||||
−0.658374 | + | 0.752691i | \(0.728755\pi\) | |||||||
\(912\) | 5.41481 | − | 5.26117i | 0.179302 | − | 0.174215i | ||||
\(913\) | − | 0.521687i | − | 0.0172653i | ||||||
\(914\) | −18.6944 | + | 15.6865i | −0.618356 | + | 0.518862i | ||||
\(915\) | 48.0206 | − | 24.6777i | 1.58751 | − | 0.815819i | ||||
\(916\) | −2.93710 | + | 16.6571i | −0.0970445 | + | 0.550367i | ||||
\(917\) | 6.55369 | + | 37.1678i | 0.216422 | + | 1.22739i | ||||
\(918\) | 3.66618 | + | 25.5120i | 0.121002 | + | 0.842021i | ||||
\(919\) | 10.2652 | − | 17.7799i | 0.338618 | − | 0.586504i | −0.645555 | − | 0.763714i | \(-0.723374\pi\) |
0.984173 | + | 0.177210i | \(0.0567072\pi\) | |||||||
\(920\) | −5.35498 | + | 2.07054i | −0.176549 | + | 0.0682637i | ||||
\(921\) | 10.6985 | − | 3.07973i | 0.352529 | − | 0.101481i | ||||
\(922\) | −26.8728 | − | 22.5489i | −0.885007 | − | 0.742609i | ||||
\(923\) | −11.1707 | − | 19.3482i | −0.367689 | − | 0.636855i | ||||
\(924\) | 0.370456 | + | 0.757559i | 0.0121871 | + | 0.0249219i | ||||
\(925\) | −24.1722 | + | 0.961840i | −0.794776 | + | 0.0316251i | ||||
\(926\) | 2.78960 | + | 15.8206i | 0.0916718 | + | 0.519897i | ||||
\(927\) | −43.7104 | + | 9.38542i | −1.43564 | + | 0.308258i | ||||
\(928\) | −2.67527 | + | 7.35023i | −0.0878199 | + | 0.241283i | ||||
\(929\) | −26.2986 | − | 31.3414i | −0.862829 | − | 1.02828i | −0.999292 | − | 0.0376343i | \(-0.988018\pi\) |
0.136463 | − | 0.990645i | \(-0.456427\pi\) | |||||||
\(930\) | 9.00805 | − | 9.72732i | 0.295386 | − | 0.318971i | ||||
\(931\) | 54.0901 | + | 33.6468i | 1.77273 | + | 1.10273i | ||||
\(932\) | −14.5902 | −0.477918 | ||||||||
\(933\) | −13.4375 | + | 1.42639i | −0.439925 | + | 0.0466978i | ||||
\(934\) | −8.12220 | + | 22.3156i | −0.265766 | + | 0.730187i | ||||
\(935\) | 1.09917 | + | 0.375487i | 0.0359467 | + | 0.0122798i | ||||
\(936\) | −2.26321 | − | 3.60530i | −0.0739755 | − | 0.117843i | ||||
\(937\) | 6.33194 | + | 17.3969i | 0.206855 | + | 0.568331i | 0.999124 | − | 0.0418416i | \(-0.0133225\pi\) |
−0.792269 | + | 0.610172i | \(0.791100\pi\) | |||||||
\(938\) | −16.2178 | + | 28.0900i | −0.529529 | + | 0.917172i | ||||
\(939\) | −3.72598 | + | 54.0873i | −0.121593 | + | 1.76507i | ||||
\(940\) | 7.79887 | + | 8.92763i | 0.254371 | + | 0.291187i | ||||
\(941\) | −5.42107 | − | 4.54882i | −0.176722 | − | 0.148287i | 0.550136 | − | 0.835075i | \(-0.314576\pi\) |
−0.726858 | + | 0.686788i | \(0.759020\pi\) | |||||||
\(942\) | 31.1515 | + | 2.14597i | 1.01497 | + | 0.0699196i | ||||
\(943\) | 1.24726 | − | 2.16032i | 0.0406164 | − | 0.0703497i | ||||
\(944\) | 2.44090 | − | 0.888415i | 0.0794446 | − | 0.0289155i | ||||
\(945\) | −53.0813 | − | 10.0135i | −1.72674 | − | 0.325740i | ||||
\(946\) | −0.368768 | − | 0.0650238i | −0.0119897 | − | 0.00211411i | ||||
\(947\) | 25.2380 | + | 9.18589i | 0.820126 | + | 0.298501i | 0.717800 | − | 0.696250i | \(-0.245149\pi\) |
0.102326 | + | 0.994751i | \(0.467372\pi\) | |||||||
\(948\) | 8.99739 | − | 0.955067i | 0.292222 | − | 0.0310191i | ||||
\(949\) | 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 | \(-0.957691\pi\) |
0.844473 | + | 0.535598i | \(0.179914\pi\) | |||||||
\(954\) | 10.3327 | − | 2.21862i | 0.334533 | − | 0.0718303i | ||||
\(955\) | −18.0317 | + | 0.358609i | −0.583491 | + | 0.0116043i | ||||
\(956\) | 6.19015 | + | 17.0073i | 0.200204 | + | 0.550055i | ||||
\(957\) | 1.27457 | − | 0.623281i | 0.0412010 | − | 0.0201478i | ||||
\(958\) | 14.3890 | + | 24.9224i | 0.464886 | + | 0.805206i | ||||
\(959\) | 26.2038 | − | 31.2284i | 0.846163 | − | 1.00842i | ||||
\(960\) | −3.84246 | + | 0.485316i | −0.124015 | + | 0.0156635i | ||||
\(961\) | −9.64114 | − | 16.6989i | −0.311004 | − | 0.538676i | ||||
\(962\) | −5.94540 | − | 3.43258i | −0.191687 | − | 0.110671i | ||||
\(963\) | 21.7866 | − | 19.6985i | 0.702064 | − | 0.634774i | ||||
\(964\) | −23.2191 | + | 4.09415i | −0.747837 | + | 0.131864i | ||||
\(965\) | 12.3726 | − | 36.2185i | 0.398288 | − | 1.16592i | ||||
\(966\) | −16.7143 | + | 12.1701i | −0.537774 | + | 0.391566i | ||||
\(967\) | 12.1671 | + | 14.5002i | 0.391268 | + | 0.466295i | 0.925337 | − | 0.379146i | \(-0.123782\pi\) |
−0.534069 | + | 0.845441i | \(0.679338\pi\) | |||||||
\(968\) | 10.9890i | 0.353201i | ||||||||
\(969\) | −9.17095 | − | 36.3086i | −0.294613 | − | 1.16640i | ||||
\(970\) | −3.55741 | + | 22.8196i | −0.114222 | + | 0.732694i | ||||
\(971\) | −5.15695 | + | 4.32719i | −0.165494 | + | 0.138866i | −0.721774 | − | 0.692129i | \(-0.756673\pi\) |
0.556279 | + | 0.830995i | \(0.312228\pi\) | |||||||
\(972\) | −2.62754 | + | 15.3654i | −0.0842783 | + | 0.492846i | ||||
\(973\) | 67.1249 | + | 11.8359i | 2.15192 | + | 0.379442i | ||||
\(974\) | −14.4674 | + | 2.55099i | −0.463565 | + | 0.0817390i | ||||
\(975\) | 6.45024 | − | 10.4593i | 0.206573 | − | 0.334965i | ||||
\(976\) | 6.97013 | − | 12.0726i | 0.223108 | − | 0.386435i | ||||
\(977\) | 17.9327 | − | 10.3534i | 0.573718 | − | 0.331236i | −0.184915 | − | 0.982755i | \(-0.559201\pi\) |
0.758633 | + | 0.651518i | \(0.225868\pi\) | |||||||
\(978\) | 24.1696 | − | 6.95757i | 0.772859 | − | 0.222478i | ||||
\(979\) | −1.16822 | + | 1.39223i | −0.0373366 | + | 0.0444960i | ||||
\(980\) | −11.7849 | − | 30.4790i | −0.376456 | − | 0.973617i | ||||
\(981\) | 3.95638 | − | 28.5796i | 0.126317 | − | 0.912478i | ||||
\(982\) | −17.0630 | + | 6.21043i | −0.544502 | + | 0.198183i | ||||
\(983\) | 0.184591 | − | 0.0325483i | 0.00588753 | − | 0.00103813i | −0.170704 | − | 0.985322i | \(-0.554604\pi\) |
0.176591 | + | 0.984284i | \(0.443493\pi\) | |||||||
\(984\) | 1.16769 | − | 1.21168i | 0.0372244 | − | 0.0386269i | ||||
\(985\) | 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 | ||||||
\(990\) | 0.562946 | + | 0.420253i | 0.0178916 | + | 0.0133565i | ||||
\(991\) | 16.4329 | − | 45.1491i | 0.522009 | − | 1.43421i | −0.346272 | − | 0.938134i | \(-0.612552\pi\) |
0.868281 | − | 0.496073i | \(-0.165225\pi\) | |||||||
\(992\) | 0.594418 | − | 3.37111i | 0.0188728 | − | 0.107033i | ||||
\(993\) | 0.0987775 | − | 0.222476i | 0.00313461 | − | 0.00706007i | ||||
\(994\) | −68.7866 | + | 25.0363i | −2.18178 | + | 0.794102i | ||||
\(995\) | 9.00670 | − | 11.1778i | 0.285532 | − | 0.354361i | ||||
\(996\) | 8.60787 | + | 0.592981i | 0.272751 | + | 0.0187893i | ||||
\(997\) | −3.10488 | + | 3.70025i | −0.0983325 | + | 0.117188i | −0.812967 | − | 0.582310i | \(-0.802149\pi\) |
0.714634 | + | 0.699499i | \(0.246593\pi\) | |||||||
\(998\) | −3.94634 | + | 4.70307i | −0.124919 | + | 0.148873i | ||||
\(999\) | 7.84289 | + | 23.8857i | 0.248138 | + | 0.755709i |
(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.89.5 | ✓ | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.89.29 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.89.36 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.89.12 | yes | 240 | |
19.3 | odd | 18 | inner | 570.2.bf.a.269.12 | yes | 240 | |
57.41 | even | 18 | inner | 570.2.bf.a.269.36 | yes | 240 | |
95.79 | odd | 18 | inner | 570.2.bf.a.269.29 | yes | 240 | |
285.269 | even | 18 | inner | 570.2.bf.a.269.5 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.89.5 | ✓ | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.89.12 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.89.29 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.89.36 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.269.5 | yes | 240 | 285.269 | even | 18 | inner | |
570.2.bf.a.269.12 | yes | 240 | 19.3 | odd | 18 | inner | |
570.2.bf.a.269.29 | yes | 240 | 95.79 | odd | 18 | inner | |
570.2.bf.a.269.36 | yes | 240 | 57.41 | even | 18 | inner |