Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [135,2,Mod(2,135)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(135, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("135.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 135 = 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 135.q (of order \(36\), degree \(12\), 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: | \(1.07798042729\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 113.6 | ||
Character | \(\chi\) | \(=\) | 135.113 |
Dual form | 135.2.q.a.92.6 |
$q$-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 \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(82\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.03355 | − | 0.0904240i | −0.730831 | − | 0.0639395i | −0.284335 | − | 0.958725i | \(-0.591773\pi\) |
−0.446496 | + | 0.894786i | \(0.647328\pi\) | |||||||
\(3\) | 1.64619 | − | 0.538569i | 0.950429 | − | 0.310943i | ||||
\(4\) | −0.909563 | − | 0.160381i | −0.454782 | − | 0.0801903i | ||||
\(5\) | 1.76770 | − | 1.36939i | 0.790539 | − | 0.612411i | ||||
\(6\) | −1.75012 | + | 0.407783i | −0.714484 | + | 0.166477i | ||||
\(7\) | −2.38295 | − | 1.66856i | −0.900671 | − | 0.630657i | 0.0287865 | − | 0.999586i | \(-0.490836\pi\) |
−0.929458 | + | 0.368929i | \(0.879725\pi\) | |||||||
\(8\) | 2.92987 | + | 0.785057i | 1.03587 | + | 0.277560i | ||||
\(9\) | 2.41989 | − | 1.77317i | 0.806629 | − | 0.591058i | ||||
\(10\) | −1.95083 | + | 1.25550i | −0.616908 | + | 0.397023i | ||||
\(11\) | −0.357163 | + | 0.981298i | −0.107689 | + | 0.295872i | −0.981819 | − | 0.189819i | \(-0.939210\pi\) |
0.874130 | + | 0.485691i | \(0.161432\pi\) | |||||||
\(12\) | −1.58369 | + | 0.225845i | −0.457172 | + | 0.0651959i | ||||
\(13\) | −0.102905 | − | 1.17621i | −0.0285408 | − | 0.326222i | −0.997021 | − | 0.0771317i | \(-0.975424\pi\) |
0.968480 | − | 0.249091i | \(-0.0801317\pi\) | |||||||
\(14\) | 2.31203 | + | 1.94002i | 0.617915 | + | 0.518492i | ||||
\(15\) | 2.17246 | − | 3.20631i | 0.560926 | − | 0.827866i | ||||
\(16\) | −1.22140 | − | 0.444552i | −0.305349 | − | 0.111138i | ||||
\(17\) | 5.46688 | − | 1.46485i | 1.32591 | − | 0.355277i | 0.474723 | − | 0.880135i | \(-0.342548\pi\) |
0.851190 | + | 0.524858i | \(0.175882\pi\) | |||||||
\(18\) | −2.66142 | + | 1.61385i | −0.627302 | + | 0.380388i | ||||
\(19\) | −3.77562 | + | 2.17985i | −0.866186 | + | 0.500093i | −0.866079 | − | 0.499907i | \(-0.833367\pi\) |
−0.000107079 | 1.00000i | \(0.500034\pi\) | ||||||||
\(20\) | −1.82746 | + | 0.962045i | −0.408632 | + | 0.215120i | ||||
\(21\) | −4.82143 | − | 1.46339i | −1.05212 | − | 0.319337i | ||||
\(22\) | 0.457879 | − | 0.981926i | 0.0976202 | − | 0.209347i | ||||
\(23\) | 2.49254 | + | 3.55972i | 0.519731 | + | 0.742253i | 0.990123 | − | 0.140205i | \(-0.0447760\pi\) |
−0.470391 | + | 0.882458i | \(0.655887\pi\) | |||||||
\(24\) | 5.24594 | − | 0.285584i | 1.07082 | − | 0.0582946i | ||||
\(25\) | 1.24952 | − | 4.84135i | 0.249905 | − | 0.968270i | ||||
\(26\) | 1.22498i | 0.240238i | ||||||||
\(27\) | 3.02862 | − | 4.22226i | 0.582858 | − | 0.812574i | ||||
\(28\) | 1.89984 | + | 1.89984i | 0.359036 | + | 0.359036i | ||||
\(29\) | −5.99110 | + | 5.02713i | −1.11252 | + | 0.933515i | −0.998203 | − | 0.0599291i | \(-0.980913\pi\) |
−0.114317 | + | 0.993444i | \(0.536468\pi\) | |||||||
\(30\) | −2.53528 | + | 3.11744i | −0.462876 | + | 0.569165i | ||||
\(31\) | −1.88318 | + | 10.6800i | −0.338229 | + | 1.91819i | 0.0544490 | + | 0.998517i | \(0.482660\pi\) |
−0.392678 | + | 0.919676i | \(0.628451\pi\) | |||||||
\(32\) | −4.27590 | − | 1.99388i | −0.755879 | − | 0.352472i | ||||
\(33\) | −0.0594626 | + | 1.80776i | −0.0103511 | + | 0.314691i | ||||
\(34\) | −5.78276 | + | 1.01966i | −0.991735 | + | 0.174870i | ||||
\(35\) | −6.49726 | + | 0.313684i | −1.09824 | + | 0.0530223i | ||||
\(36\) | −2.48542 | + | 1.22471i | −0.414237 | + | 0.204118i | ||||
\(37\) | 1.84738 | + | 6.89452i | 0.303708 | + | 1.13345i | 0.934052 | + | 0.357137i | \(0.116247\pi\) |
−0.630344 | + | 0.776316i | \(0.717086\pi\) | |||||||
\(38\) | 4.09941 | − | 1.91158i | 0.665011 | − | 0.310100i | ||||
\(39\) | −0.802872 | − | 1.88085i | −0.128562 | − | 0.301177i | ||||
\(40\) | 6.25419 | − | 2.62440i | 0.988874 | − | 0.414955i | ||||
\(41\) | −2.34606 | + | 2.79593i | −0.366393 | + | 0.436650i | −0.917471 | − | 0.397804i | \(-0.869772\pi\) |
0.551077 | + | 0.834454i | \(0.314217\pi\) | |||||||
\(42\) | 4.85087 | + | 1.94846i | 0.748505 | + | 0.300654i | ||||
\(43\) | −0.986834 | − | 2.11627i | −0.150491 | − | 0.322729i | 0.816582 | − | 0.577230i | \(-0.195866\pi\) |
−0.967072 | + | 0.254501i | \(0.918089\pi\) | |||||||
\(44\) | 0.482244 | − | 0.835270i | 0.0727010 | − | 0.125922i | ||||
\(45\) | 1.84946 | − | 6.44822i | 0.275702 | − | 0.961243i | ||||
\(46\) | −2.25429 | − | 3.90454i | −0.332377 | − | 0.575693i | ||||
\(47\) | −0.209148 | + | 0.298694i | −0.0305073 | + | 0.0435690i | −0.834116 | − | 0.551589i | \(-0.814022\pi\) |
0.803609 | + | 0.595158i | \(0.202911\pi\) | |||||||
\(48\) | −2.25007 | − | 0.0740116i | −0.324770 | − | 0.0106826i | ||||
\(49\) | 0.500224 | + | 1.37435i | 0.0714605 | + | 0.196336i | ||||
\(50\) | −1.72922 | + | 4.89080i | −0.244549 | + | 0.691664i | ||||
\(51\) | 8.21061 | − | 5.35571i | 1.14971 | − | 0.749949i | ||||
\(52\) | −0.0950427 | + | 1.08634i | −0.0131800 | + | 0.150649i | ||||
\(53\) | 1.16516 | − | 1.16516i | 0.160047 | − | 0.160047i | −0.622540 | − | 0.782588i | \(-0.713899\pi\) |
0.782588 | + | 0.622540i | \(0.213899\pi\) | |||||||
\(54\) | −3.51203 | + | 4.09006i | −0.477927 | + | 0.556587i | ||||
\(55\) | 0.712425 | + | 2.22374i | 0.0960634 | + | 0.299849i | ||||
\(56\) | −5.67183 | − | 6.75943i | −0.757930 | − | 0.903266i | ||||
\(57\) | −5.04139 | + | 5.62188i | −0.667748 | + | 0.744637i | ||||
\(58\) | 6.64669 | − | 4.65406i | 0.872753 | − | 0.611108i | ||||
\(59\) | 9.77378 | − | 3.55737i | 1.27244 | − | 0.463130i | 0.384514 | − | 0.923119i | \(-0.374369\pi\) |
0.887924 | + | 0.459990i | \(0.152147\pi\) | |||||||
\(60\) | −2.49022 | + | 2.56792i | −0.321486 | + | 0.331517i | ||||
\(61\) | −0.654019 | − | 3.70913i | −0.0837385 | − | 0.474905i | −0.997622 | − | 0.0689275i | \(-0.978042\pi\) |
0.913883 | − | 0.405977i | \(-0.133069\pi\) | |||||||
\(62\) | 2.91210 | − | 10.8681i | 0.369837 | − | 1.38025i | ||||
\(63\) | −8.72512 | + | 0.187656i | −1.09926 | + | 0.0236425i | ||||
\(64\) | 6.49036 | + | 3.74721i | 0.811295 | + | 0.468401i | ||||
\(65\) | −1.79260 | − | 1.93827i | −0.222345 | − | 0.240413i | ||||
\(66\) | 0.224923 | − | 1.86304i | 0.0276861 | − | 0.229324i | ||||
\(67\) | 0.570007 | − | 0.0498691i | 0.0696374 | − | 0.00609249i | −0.0522838 | − | 0.998632i | \(-0.516650\pi\) |
0.121921 | + | 0.992540i | \(0.461094\pi\) | |||||||
\(68\) | −5.20741 | + | 0.455589i | −0.631491 | + | 0.0552483i | ||||
\(69\) | 6.02036 | + | 4.51758i | 0.724766 | + | 0.543852i | ||||
\(70\) | 6.74362 | + | 0.263300i | 0.806016 | + | 0.0314703i | ||||
\(71\) | 2.83490 | + | 1.63673i | 0.336441 | + | 0.194244i | 0.658697 | − | 0.752408i | \(-0.271108\pi\) |
−0.322256 | + | 0.946652i | \(0.604441\pi\) | |||||||
\(72\) | 8.48201 | − | 3.29542i | 0.999614 | − | 0.388369i | ||||
\(73\) | 3.56015 | − | 13.2867i | 0.416684 | − | 1.55509i | −0.364755 | − | 0.931104i | \(-0.618847\pi\) |
0.781439 | − | 0.623982i | \(-0.214486\pi\) | |||||||
\(74\) | −1.28593 | − | 7.29289i | −0.149487 | − | 0.847782i | ||||
\(75\) | −0.550446 | − | 8.64274i | −0.0635600 | − | 0.997978i | ||||
\(76\) | 3.78377 | − | 1.37718i | 0.434028 | − | 0.157973i | ||||
\(77\) | 2.48846 | − | 1.74244i | 0.283586 | − | 0.198569i | ||||
\(78\) | 0.659736 | + | 2.01655i | 0.0747004 | + | 0.228329i | ||||
\(79\) | −2.43289 | − | 2.89941i | −0.273722 | − | 0.326209i | 0.611618 | − | 0.791153i | \(-0.290519\pi\) |
−0.885340 | + | 0.464944i | \(0.846074\pi\) | |||||||
\(80\) | −2.76783 | + | 0.886738i | −0.309453 | + | 0.0991403i | ||||
\(81\) | 2.71171 | − | 8.58176i | 0.301302 | − | 0.953529i | ||||
\(82\) | 2.67759 | − | 2.67759i | 0.295691 | − | 0.295691i | ||||
\(83\) | −0.416330 | + | 4.75867i | −0.0456981 | + | 0.522332i | 0.938502 | + | 0.345273i | \(0.112214\pi\) |
−0.984200 | + | 0.177059i | \(0.943342\pi\) | |||||||
\(84\) | 4.15070 | + | 2.10431i | 0.452878 | + | 0.229599i | ||||
\(85\) | 7.65785 | − | 10.0757i | 0.830611 | − | 1.09286i | ||||
\(86\) | 0.828582 | + | 2.27651i | 0.0893483 | + | 0.245482i | ||||
\(87\) | −7.15504 | + | 11.5022i | −0.767101 | + | 1.23317i | ||||
\(88\) | −1.81682 | + | 2.59468i | −0.193673 | + | 0.276594i | ||||
\(89\) | −1.62360 | − | 2.81215i | −0.172101 | − | 0.298087i | 0.767053 | − | 0.641583i | \(-0.221722\pi\) |
−0.939154 | + | 0.343496i | \(0.888389\pi\) | |||||||
\(90\) | −2.49459 | + | 6.49733i | −0.262953 | + | 0.684878i | ||||
\(91\) | −1.71736 | + | 2.97456i | −0.180029 | + | 0.311819i | ||||
\(92\) | −1.69622 | − | 3.63755i | −0.176843 | − | 0.379241i | ||||
\(93\) | 2.65186 | + | 18.5956i | 0.274985 | + | 1.92828i | ||||
\(94\) | 0.243174 | − | 0.289803i | 0.0250815 | − | 0.0298909i | ||||
\(95\) | −3.68908 | + | 9.02363i | −0.378492 | + | 0.925805i | ||||
\(96\) | −8.11279 | − | 0.979449i | −0.828008 | − | 0.0999646i | ||||
\(97\) | −10.8407 | + | 5.05512i | −1.10071 | + | 0.513270i | −0.886130 | − | 0.463436i | \(-0.846616\pi\) |
−0.214581 | + | 0.976706i | \(0.568839\pi\) | |||||||
\(98\) | −0.392732 | − | 1.46570i | −0.0396719 | − | 0.148058i | ||||
\(99\) | 0.875716 | + | 3.00794i | 0.0880128 | + | 0.302310i | ||||
\(100\) | −1.91298 | + | 4.20312i | −0.191298 | + | 0.420312i | ||||
\(101\) | 0.264044 | − | 0.0465580i | 0.0262733 | − | 0.00463269i | −0.160496 | − | 0.987036i | \(-0.551309\pi\) |
0.186769 | + | 0.982404i | \(0.440198\pi\) | |||||||
\(102\) | −8.97037 | + | 4.79296i | −0.888199 | + | 0.474574i | ||||
\(103\) | −11.5058 | − | 5.36526i | −1.13370 | − | 0.528655i | −0.237099 | − | 0.971485i | \(-0.576197\pi\) |
−0.896606 | + | 0.442830i | \(0.853974\pi\) | |||||||
\(104\) | 0.621894 | − | 3.52694i | 0.0609817 | − | 0.345845i | ||||
\(105\) | −10.5268 | + | 4.01560i | −1.02731 | + | 0.391883i | ||||
\(106\) | −1.30961 | + | 1.09890i | −0.127201 | + | 0.106734i | ||||
\(107\) | 5.03532 | + | 5.03532i | 0.486782 | + | 0.486782i | 0.907289 | − | 0.420507i | \(-0.138148\pi\) |
−0.420507 | + | 0.907289i | \(0.638148\pi\) | |||||||
\(108\) | −3.43189 | + | 3.35468i | −0.330234 | + | 0.322804i | ||||
\(109\) | 8.81333i | 0.844164i | 0.906558 | + | 0.422082i | \(0.138701\pi\) | ||||
−0.906558 | + | 0.422082i | \(0.861299\pi\) | |||||||
\(110\) | −0.535249 | − | 2.36277i | −0.0510340 | − | 0.225281i | ||||
\(111\) | 6.75432 | + | 10.3548i | 0.641091 | + | 0.982830i | ||||
\(112\) | 2.16877 | + | 3.09732i | 0.204929 | + | 0.292669i | ||||
\(113\) | 0.0274297 | − | 0.0588232i | 0.00258037 | − | 0.00553362i | −0.905013 | − | 0.425383i | \(-0.860139\pi\) |
0.907594 | + | 0.419849i | \(0.137917\pi\) | |||||||
\(114\) | 5.71888 | − | 5.35464i | 0.535623 | − | 0.501508i | ||||
\(115\) | 9.28073 | + | 2.87925i | 0.865433 | + | 0.268491i | ||||
\(116\) | 6.25554 | − | 3.61164i | 0.580813 | − | 0.335332i | ||||
\(117\) | −2.33465 | − | 2.66383i | −0.215838 | − | 0.246271i | ||||
\(118\) | −10.4234 | + | 2.79294i | −0.959550 | + | 0.257111i | ||||
\(119\) | −15.4715 | − | 5.63116i | −1.41827 | − | 0.516208i | ||||
\(120\) | 8.88216 | − | 7.68858i | 0.810827 | − | 0.701868i | ||||
\(121\) | 7.59111 | + | 6.36970i | 0.690101 | + | 0.579063i | ||||
\(122\) | 0.340568 | + | 3.89271i | 0.0308336 | + | 0.352430i | ||||
\(123\) | −2.35627 | + | 5.86614i | −0.212457 | + | 0.528932i | ||||
\(124\) | 3.42574 | − | 9.41215i | 0.307641 | − | 0.845236i | ||||
\(125\) | −4.42093 | − | 10.2691i | −0.395420 | − | 0.918500i | ||||
\(126\) | 9.03483 | + | 0.595008i | 0.804887 | + | 0.0530076i | ||||
\(127\) | −16.2081 | − | 4.34294i | −1.43823 | − | 0.385374i | −0.546320 | − | 0.837577i | \(-0.683972\pi\) |
−0.891915 | + | 0.452203i | \(0.850638\pi\) | |||||||
\(128\) | 1.36013 | + | 0.952371i | 0.120219 | + | 0.0841785i | ||||
\(129\) | −2.76427 | − | 2.95231i | −0.243381 | − | 0.259936i | ||||
\(130\) | 1.67748 | + | 2.16540i | 0.147125 | + | 0.189918i | ||||
\(131\) | −3.72744 | − | 0.657248i | −0.325668 | − | 0.0574240i | 0.00842419 | − | 0.999965i | \(-0.497318\pi\) |
−0.334092 | + | 0.942541i | \(0.608430\pi\) | |||||||
\(132\) | 0.344015 | − | 1.63474i | 0.0299426 | − | 0.142285i | ||||
\(133\) | 12.6343 | + | 1.10536i | 1.09554 | + | 0.0958470i | ||||
\(134\) | −0.593641 | −0.0512828 | ||||||||
\(135\) | −0.428238 | − | 11.6111i | −0.0368568 | − | 0.999321i | ||||
\(136\) | 17.1673 | 1.47208 | ||||||||
\(137\) | 21.5441 | + | 1.88486i | 1.84064 | + | 0.161035i | 0.953681 | − | 0.300821i | \(-0.0972608\pi\) |
0.886955 | + | 0.461856i | \(0.152816\pi\) | |||||||
\(138\) | −5.81385 | − | 5.21353i | −0.494908 | − | 0.443805i | ||||
\(139\) | −11.0217 | − | 1.94342i | −0.934847 | − | 0.164839i | −0.314581 | − | 0.949231i | \(-0.601864\pi\) |
−0.620265 | + | 0.784392i | \(0.712975\pi\) | |||||||
\(140\) | 5.95998 | + | 0.756718i | 0.503710 | + | 0.0639544i | ||||
\(141\) | −0.183430 | + | 0.604347i | −0.0154476 | + | 0.0508952i | ||||
\(142\) | −2.78201 | − | 1.94799i | −0.233461 | − | 0.163471i | ||||
\(143\) | 1.19097 | + | 0.319119i | 0.0995937 | + | 0.0266861i | ||||
\(144\) | −3.74391 | + | 1.08998i | −0.311993 | + | 0.0908318i | ||||
\(145\) | −3.70635 | + | 17.0906i | −0.307796 | + | 1.41930i | ||||
\(146\) | −4.88103 | + | 13.4105i | −0.403957 | + | 1.10986i | ||||
\(147\) | 1.56365 | + | 1.99304i | 0.128967 | + | 0.164383i | ||||
\(148\) | −0.574563 | − | 6.56729i | −0.0472288 | − | 0.539828i | ||||
\(149\) | −10.1272 | − | 8.49772i | −0.829651 | − | 0.696160i | 0.125560 | − | 0.992086i | \(-0.459927\pi\) |
−0.955211 | + | 0.295926i | \(0.904372\pi\) | |||||||
\(150\) | −0.212597 | + | 8.98249i | −0.0173585 | + | 0.733418i | ||||
\(151\) | 11.4353 | + | 4.16211i | 0.930591 | + | 0.338708i | 0.762444 | − | 0.647054i | \(-0.223999\pi\) |
0.168147 | + | 0.985762i | \(0.446222\pi\) | |||||||
\(152\) | −12.7734 | + | 3.42262i | −1.03606 | + | 0.277611i | ||||
\(153\) | 10.6318 | − | 13.2385i | 0.859531 | − | 1.07027i | ||||
\(154\) | −2.72951 | + | 1.57588i | −0.219950 | + | 0.126988i | ||||
\(155\) | 11.2963 | + | 21.4579i | 0.907339 | + | 1.72354i | ||||
\(156\) | 0.428612 | + | 1.83951i | 0.0343164 | + | 0.147279i | ||||
\(157\) | 5.01098 | − | 10.7461i | 0.399920 | − | 0.857631i | −0.598483 | − | 0.801136i | \(-0.704230\pi\) |
0.998403 | − | 0.0564955i | \(-0.0179927\pi\) | |||||||
\(158\) | 2.25234 | + | 3.21668i | 0.179187 | + | 0.255905i | ||||
\(159\) | 1.29056 | − | 2.54560i | 0.102348 | − | 0.201879i | ||||
\(160\) | −10.2889 | + | 2.33080i | −0.813410 | + | 0.184266i | ||||
\(161\) | − | 12.6416i | − | 0.996298i | ||||||
\(162\) | −3.57869 | + | 8.62449i | −0.281169 | + | 0.677604i | ||||
\(163\) | −10.1170 | − | 10.1170i | −0.792424 | − | 0.792424i | 0.189463 | − | 0.981888i | \(-0.439325\pi\) |
−0.981888 | + | 0.189463i | \(0.939325\pi\) | |||||||
\(164\) | 2.58230 | − | 2.16681i | 0.201644 | − | 0.169199i | ||||
\(165\) | 2.37042 | + | 3.27700i | 0.184537 | + | 0.255114i | ||||
\(166\) | 0.860597 | − | 4.88069i | 0.0667953 | − | 0.378815i | ||||
\(167\) | −19.2590 | − | 8.98064i | −1.49031 | − | 0.694943i | −0.504593 | − | 0.863357i | \(-0.668357\pi\) |
−0.985716 | + | 0.168415i | \(0.946135\pi\) | |||||||
\(168\) | −12.9773 | − | 8.07263i | −1.00122 | − | 0.622817i | ||||
\(169\) | 11.4296 | − | 2.01535i | 0.879201 | − | 0.155027i | ||||
\(170\) | −8.82587 | + | 9.72132i | −0.676913 | + | 0.745591i | ||||
\(171\) | −5.27131 | + | 11.9698i | −0.403107 | + | 0.915355i | ||||
\(172\) | 0.558179 | + | 2.08315i | 0.0425608 | + | 0.158839i | ||||
\(173\) | 7.68830 | − | 3.58511i | 0.584530 | − | 0.272571i | −0.107775 | − | 0.994175i | \(-0.534373\pi\) |
0.692306 | + | 0.721604i | \(0.256595\pi\) | |||||||
\(174\) | 8.43518 | − | 11.2412i | 0.639470 | − | 0.852191i | ||||
\(175\) | −11.0556 | + | 9.45180i | −0.835728 | + | 0.714489i | ||||
\(176\) | 0.872476 | − | 1.03978i | 0.0657653 | − | 0.0783761i | ||||
\(177\) | 14.1736 | − | 11.1200i | 1.06535 | − | 0.835827i | ||||
\(178\) | 1.42378 | + | 3.05331i | 0.106717 | + | 0.228856i | ||||
\(179\) | −6.71299 | + | 11.6272i | −0.501753 | + | 0.869061i | 0.498245 | + | 0.867036i | \(0.333978\pi\) |
−0.999998 | + | 0.00202486i | \(0.999355\pi\) | |||||||
\(180\) | −2.71637 | + | 5.56844i | −0.202466 | + | 0.415047i | ||||
\(181\) | −9.97071 | − | 17.2698i | −0.741117 | − | 1.28365i | −0.951987 | − | 0.306138i | \(-0.900963\pi\) |
0.210870 | − | 0.977514i | \(-0.432370\pi\) | |||||||
\(182\) | 2.04395 | − | 2.91907i | 0.151508 | − | 0.216376i | ||||
\(183\) | −3.07426 | − | 5.75369i | −0.227256 | − | 0.425325i | ||||
\(184\) | 4.50825 | + | 12.3863i | 0.332353 | + | 0.913132i | ||||
\(185\) | 12.7069 | + | 9.65765i | 0.934232 | + | 0.710045i | ||||
\(186\) | −1.05935 | − | 19.4593i | −0.0776751 | − | 1.42683i | ||||
\(187\) | −0.515118 | + | 5.88783i | −0.0376692 | + | 0.430560i | ||||
\(188\) | 0.238138 | − | 0.238138i | 0.0173680 | − | 0.0173680i | ||||
\(189\) | −14.2622 | + | 5.00800i | −1.03742 | + | 0.364278i | ||||
\(190\) | 4.62881 | − | 8.99281i | 0.335809 | − | 0.652407i | ||||
\(191\) | 0.583207 | + | 0.695039i | 0.0421994 | + | 0.0502912i | 0.786731 | − | 0.617296i | \(-0.211772\pi\) |
−0.744532 | + | 0.667587i | \(0.767327\pi\) | |||||||
\(192\) | 12.7025 | + | 2.67312i | 0.916724 | + | 0.192916i | ||||
\(193\) | −6.05638 | + | 4.24072i | −0.435948 | + | 0.305254i | −0.770871 | − | 0.636992i | \(-0.780179\pi\) |
0.334923 | + | 0.942245i | \(0.391290\pi\) | |||||||
\(194\) | 11.6616 | − | 4.24447i | 0.837252 | − | 0.304735i | ||||
\(195\) | −3.99486 | − | 2.22532i | −0.286078 | − | 0.159359i | ||||
\(196\) | −0.234566 | − | 1.33029i | −0.0167547 | − | 0.0950205i | ||||
\(197\) | −4.43194 | + | 16.5402i | −0.315763 | + | 1.17844i | 0.607515 | + | 0.794309i | \(0.292167\pi\) |
−0.923277 | + | 0.384134i | \(0.874500\pi\) | |||||||
\(198\) | −0.633107 | − | 3.18805i | −0.0449930 | − | 0.226565i | ||||
\(199\) | 0.887783 | + | 0.512562i | 0.0629332 | + | 0.0363345i | 0.531136 | − | 0.847286i | \(-0.321765\pi\) |
−0.468203 | + | 0.883621i | \(0.655098\pi\) | |||||||
\(200\) | 7.46168 | − | 13.2036i | 0.527621 | − | 0.933636i | ||||
\(201\) | 0.911482 | − | 0.389082i | 0.0642910 | − | 0.0274437i | ||||
\(202\) | −0.277113 | + | 0.0242442i | −0.0194976 | + | 0.00170582i | ||||
\(203\) | 22.6646 | − | 1.98289i | 1.59074 | − | 0.139172i | ||||
\(204\) | −8.32702 | + | 3.55453i | −0.583008 | + | 0.248867i | ||||
\(205\) | −0.318408 | + | 8.15504i | −0.0222386 | + | 0.569573i | ||||
\(206\) | 11.4067 | + | 6.58568i | 0.794745 | + | 0.458846i | ||||
\(207\) | 12.3437 | + | 4.19442i | 0.857945 | + | 0.291532i | ||||
\(208\) | −0.397199 | + | 1.48237i | −0.0275408 | + | 0.102784i | ||||
\(209\) | −0.790574 | − | 4.48357i | −0.0546852 | − | 0.310135i | ||||
\(210\) | 11.2431 | − | 3.19846i | 0.775847 | − | 0.220715i | ||||
\(211\) | −9.20369 | + | 3.34987i | −0.633608 | + | 0.230614i | −0.638801 | − | 0.769372i | \(-0.720569\pi\) |
0.00519293 | + | 0.999987i | \(0.498347\pi\) | |||||||
\(212\) | −1.24666 | + | 0.872919i | −0.0856208 | + | 0.0599523i | ||||
\(213\) | 5.54827 | + | 1.16758i | 0.380161 | + | 0.0800014i | ||||
\(214\) | −4.74895 | − | 5.65957i | −0.324631 | − | 0.386880i | ||||
\(215\) | −4.64244 | − | 2.38957i | −0.316611 | − | 0.162967i | ||||
\(216\) | 12.1882 | − | 9.99304i | 0.829301 | − | 0.679940i | ||||
\(217\) | 22.3078 | − | 22.3078i | 1.51435 | − | 1.51435i | ||||
\(218\) | 0.796937 | − | 9.10903i | 0.0539754 | − | 0.616942i | ||||
\(219\) | −1.29509 | − | 23.7898i | −0.0875142 | − | 1.60756i | ||||
\(220\) | −0.291352 | − | 2.13689i | −0.0196429 | − | 0.144069i | ||||
\(221\) | −2.28554 | − | 6.27947i | −0.153742 | − | 0.422403i | ||||
\(222\) | −6.04462 | − | 11.3129i | −0.405688 | − | 0.759274i | ||||
\(223\) | −5.62275 | + | 8.03011i | −0.376527 | + | 0.537736i | −0.962033 | − | 0.272932i | \(-0.912007\pi\) |
0.585507 | + | 0.810668i | \(0.300896\pi\) | |||||||
\(224\) | 6.86234 | + | 11.8859i | 0.458510 | + | 0.794162i | ||||
\(225\) | −5.56085 | − | 13.9312i | −0.370723 | − | 0.928743i | ||||
\(226\) | −0.0336690 | + | 0.0583165i | −0.00223963 | + | 0.00387916i | ||||
\(227\) | 7.23760 | + | 15.5211i | 0.480376 | + | 1.03017i | 0.985897 | + | 0.167356i | \(0.0535229\pi\) |
−0.505520 | + | 0.862815i | \(0.668699\pi\) | |||||||
\(228\) | 5.48710 | − | 4.30492i | 0.363392 | − | 0.285100i | ||||
\(229\) | −11.7568 | + | 14.0112i | −0.776912 | + | 0.925888i | −0.998790 | − | 0.0491866i | \(-0.984337\pi\) |
0.221877 | + | 0.975075i | \(0.428782\pi\) | |||||||
\(230\) | −9.33176 | − | 3.81505i | −0.615318 | − | 0.251557i | ||||
\(231\) | 3.15805 | − | 4.20859i | 0.207785 | − | 0.276905i | ||||
\(232\) | −21.4998 | + | 10.0255i | −1.41153 | + | 0.658207i | ||||
\(233\) | −1.27701 | − | 4.76585i | −0.0836594 | − | 0.312221i | 0.911398 | − | 0.411527i | \(-0.135004\pi\) |
−0.995057 | + | 0.0993059i | \(0.968338\pi\) | |||||||
\(234\) | 2.17210 | + | 2.96432i | 0.141995 | + | 0.193783i | ||||
\(235\) | 0.0393191 | + | 0.814406i | 0.00256489 | + | 0.0531260i | ||||
\(236\) | −9.46041 | + | 1.66812i | −0.615820 | + | 0.108586i | ||||
\(237\) | −5.56654 | − | 3.46270i | −0.361585 | − | 0.224927i | ||||
\(238\) | 15.4814 | + | 7.21909i | 1.00351 | + | 0.467944i | ||||
\(239\) | 1.04890 | − | 5.94858i | 0.0678474 | − | 0.384782i | −0.931909 | − | 0.362693i | \(-0.881857\pi\) |
0.999756 | − | 0.0220886i | \(-0.00703161\pi\) | |||||||
\(240\) | −4.07880 | + | 2.95041i | −0.263286 | + | 0.190448i | ||||
\(241\) | −13.1764 | + | 11.0563i | −0.848766 | + | 0.712199i | −0.959518 | − | 0.281649i | \(-0.909119\pi\) |
0.110751 | + | 0.993848i | \(0.464674\pi\) | |||||||
\(242\) | −7.26983 | − | 7.26983i | −0.467322 | − | 0.467322i | ||||
\(243\) | −0.157869 | − | 15.5877i | −0.0101273 | − | 0.999949i | ||||
\(244\) | 3.47858i | 0.222693i | ||||||||
\(245\) | 2.76627 | + | 1.74444i | 0.176731 | + | 0.111448i | ||||
\(246\) | 2.96576 | − | 5.84990i | 0.189090 | − | 0.372976i | ||||
\(247\) | 2.95250 | + | 4.21661i | 0.187863 | + | 0.268296i | ||||
\(248\) | −13.9019 | + | 29.8128i | −0.882773 | + | 1.89311i | ||||
\(249\) | 1.87751 | + | 8.05791i | 0.118983 | + | 0.510649i | ||||
\(250\) | 3.64068 | + | 11.0134i | 0.230257 | + | 0.696552i | ||||
\(251\) | −0.245642 | + | 0.141822i | −0.0155048 | + | 0.00895170i | −0.507732 | − | 0.861515i | \(-0.669516\pi\) |
0.492228 | + | 0.870467i | \(0.336183\pi\) | |||||||
\(252\) | 7.96615 | + | 1.22865i | 0.501820 | + | 0.0773980i | ||||
\(253\) | −4.38339 | + | 1.17453i | −0.275582 | + | 0.0738419i | ||||
\(254\) | 16.3592 | + | 5.95426i | 1.02647 | + | 0.373603i | ||||
\(255\) | 7.17982 | − | 20.7108i | 0.449618 | − | 1.29696i | ||||
\(256\) | −12.8018 | − | 10.7420i | −0.800110 | − | 0.671372i | ||||
\(257\) | −0.568503 | − | 6.49802i | −0.0354623 | − | 0.405335i | −0.993092 | − | 0.117335i | \(-0.962565\pi\) |
0.957630 | − | 0.288001i | \(-0.0929906\pi\) | |||||||
\(258\) | 2.59006 | + | 3.30132i | 0.161250 | + | 0.205531i | ||||
\(259\) | 7.10171 | − | 19.5118i | 0.441279 | − | 1.21240i | ||||
\(260\) | 1.31962 | + | 2.05048i | 0.0818396 | + | 0.127165i | ||||
\(261\) | −5.58382 | + | 22.7884i | −0.345630 | + | 1.41056i | ||||
\(262\) | 3.79307 | + | 1.01635i | 0.234336 | + | 0.0627903i | ||||
\(263\) | −3.72625 | − | 2.60915i | −0.229770 | − | 0.160887i | 0.453022 | − | 0.891499i | \(-0.350346\pi\) |
−0.682792 | + | 0.730612i | \(0.739235\pi\) | |||||||
\(264\) | −1.59341 | + | 5.24983i | −0.0980678 | + | 0.323104i | ||||
\(265\) | 0.464091 | − | 3.65522i | 0.0285089 | − | 0.224538i | ||||
\(266\) | −12.9583 | − | 2.28489i | −0.794523 | − | 0.140096i | ||||
\(267\) | −4.18728 | − | 3.75492i | −0.256258 | − | 0.229797i | ||||
\(268\) | −0.526455 | − | 0.0460589i | −0.0321584 | − | 0.00281349i | ||||
\(269\) | 7.68259 | 0.468416 | 0.234208 | − | 0.972187i | \(-0.424750\pi\) | ||||
0.234208 | + | 0.972187i | \(0.424750\pi\) | |||||||
\(270\) | −0.607313 | + | 12.0393i | −0.0369599 | + | 0.732691i | ||||
\(271\) | 18.8470 | 1.14487 | 0.572437 | − | 0.819949i | \(-0.305998\pi\) | ||||
0.572437 | + | 0.819949i | \(0.305998\pi\) | |||||||
\(272\) | −7.32843 | − | 0.641154i | −0.444351 | − | 0.0388757i | ||||
\(273\) | −1.22510 | + | 5.82161i | −0.0741466 | + | 0.352340i | ||||
\(274\) | −22.0965 | − | 3.89621i | −1.33490 | − | 0.235378i | ||||
\(275\) | 4.30452 | + | 2.95531i | 0.259573 | + | 0.178212i | ||||
\(276\) | −4.75137 | − | 5.07457i | −0.285999 | − | 0.305453i | ||||
\(277\) | 8.10294 | + | 5.67374i | 0.486858 | + | 0.340902i | 0.791094 | − | 0.611695i | \(-0.209512\pi\) |
−0.304235 | + | 0.952597i | \(0.598401\pi\) | |||||||
\(278\) | 11.2157 | + | 3.00525i | 0.672675 | + | 0.180243i | ||||
\(279\) | 14.3805 | + | 29.1837i | 0.860937 | + | 1.74718i | ||||
\(280\) | −19.2824 | − | 4.18167i | −1.15234 | − | 0.249902i | ||||
\(281\) | −1.61241 | + | 4.43006i | −0.0961883 | + | 0.264275i | −0.978450 | − | 0.206484i | \(-0.933798\pi\) |
0.882262 | + | 0.470759i | \(0.156020\pi\) | |||||||
\(282\) | 0.244232 | − | 0.608037i | 0.0145438 | − | 0.0362081i | ||||
\(283\) | 0.00130413 | + | 0.0149063i | 7.75226e−5 | + | 0.000886087i | 0.996233 | − | 0.0867127i | \(-0.0276362\pi\) |
−0.996156 | + | 0.0875988i | \(0.972081\pi\) | |||||||
\(284\) | −2.31602 | − | 1.94337i | −0.137431 | − | 0.115318i | ||||
\(285\) | −1.21308 | + | 16.8414i | −0.0718569 | + | 0.997601i | ||||
\(286\) | −1.20207 | − | 0.437518i | −0.0710799 | − | 0.0258710i | ||||
\(287\) | 10.2557 | − | 2.74801i | 0.605376 | − | 0.162210i | ||||
\(288\) | −13.8827 | + | 2.75693i | −0.818046 | + | 0.162454i | ||||
\(289\) | 13.0186 | − | 7.51627i | 0.765798 | − | 0.442134i | ||||
\(290\) | 5.37611 | − | 17.3289i | 0.315696 | − | 1.01759i | ||||
\(291\) | −15.1234 | + | 14.1602i | −0.886550 | + | 0.830085i | ||||
\(292\) | −5.36910 | + | 11.5141i | −0.314203 | + | 0.673810i | ||||
\(293\) | −13.1517 | − | 18.7826i | −0.768330 | − | 1.09729i | −0.992441 | − | 0.122726i | \(-0.960836\pi\) |
0.224110 | − | 0.974564i | \(-0.428052\pi\) | |||||||
\(294\) | −1.43589 | − | 2.20130i | −0.0837428 | − | 0.128383i | ||||
\(295\) | 12.4057 | − | 19.6725i | 0.722286 | − | 1.14538i | ||||
\(296\) | 21.6504i | 1.25840i | ||||||||
\(297\) | 3.06158 | + | 4.48001i | 0.177651 | + | 0.259957i | ||||
\(298\) | 9.69857 | + | 9.69857i | 0.561823 | + | 0.561823i | ||||
\(299\) | 3.93049 | − | 3.29807i | 0.227306 | − | 0.190733i | ||||
\(300\) | −0.885462 | + | 7.94940i | −0.0511222 | + | 0.458959i | ||||
\(301\) | −1.17955 | + | 6.68957i | −0.0679882 | + | 0.385580i | ||||
\(302\) | −11.4426 | − | 5.33578i | −0.658448 | − | 0.307040i | ||||
\(303\) | 0.409591 | − | 0.218849i | 0.0235304 | − | 0.0125725i | ||||
\(304\) | 5.58058 | − | 0.984008i | 0.320068 | − | 0.0564367i | ||||
\(305\) | −6.23536 | − | 5.66101i | −0.357036 | − | 0.324149i | ||||
\(306\) | −12.1856 | + | 12.7213i | −0.696604 | + | 0.727228i | ||||
\(307\) | −7.06051 | − | 26.3502i | −0.402965 | − | 1.50388i | −0.807779 | − | 0.589486i | \(-0.799330\pi\) |
0.404814 | − | 0.914399i | \(-0.367336\pi\) | |||||||
\(308\) | −2.54286 | + | 1.18576i | −0.144893 | + | 0.0675647i | ||||
\(309\) | −21.8304 | − | 2.63556i | −1.24189 | − | 0.149932i | ||||
\(310\) | −9.73498 | − | 23.1993i | −0.552910 | − | 1.31763i | ||||
\(311\) | 20.3862 | − | 24.2954i | 1.15600 | − | 1.37766i | 0.242835 | − | 0.970068i | \(-0.421923\pi\) |
0.913162 | − | 0.407596i | \(-0.133633\pi\) | |||||||
\(312\) | −0.875741 | − | 6.14094i | −0.0495791 | − | 0.347663i | ||||
\(313\) | 4.83829 | + | 10.3757i | 0.273476 | + | 0.586472i | 0.994297 | − | 0.106650i | \(-0.0340125\pi\) |
−0.720820 | + | 0.693122i | \(0.756235\pi\) | |||||||
\(314\) | −6.15081 | + | 10.6535i | −0.347110 | + | 0.601213i | ||||
\(315\) | −15.1664 | + | 12.2798i | −0.854531 | + | 0.691891i | ||||
\(316\) | 1.74786 | + | 3.02739i | 0.0983249 | + | 0.170304i | ||||
\(317\) | −7.17947 | + | 10.2533i | −0.403239 | + | 0.575885i | −0.968496 | − | 0.249030i | \(-0.919888\pi\) |
0.565257 | + | 0.824915i | \(0.308777\pi\) | |||||||
\(318\) | −1.56404 | + | 2.51431i | −0.0877071 | + | 0.140995i | ||||
\(319\) | −2.79331 | − | 7.67456i | −0.156395 | − | 0.429693i | ||||
\(320\) | 16.6044 | − | 2.26391i | 0.928214 | − | 0.126556i | ||||
\(321\) | 11.0010 | + | 5.57723i | 0.614013 | + | 0.311291i | ||||
\(322\) | −1.14311 | + | 13.0658i | −0.0637028 | + | 0.728126i | ||||
\(323\) | −17.4477 | + | 17.4477i | −0.970816 | + | 0.970816i | ||||
\(324\) | −3.84282 | + | 7.37075i | −0.213490 | + | 0.409486i | ||||
\(325\) | −5.82304 | − | 0.971504i | −0.323004 | − | 0.0538893i | ||||
\(326\) | 9.54162 | + | 11.3713i | 0.528461 | + | 0.629796i | ||||
\(327\) | 4.74658 | + | 14.5084i | 0.262487 | + | 0.802318i | ||||
\(328\) | −9.06863 | + | 6.34992i | −0.500731 | + | 0.350616i | ||||
\(329\) | 0.996777 | − | 0.362797i | 0.0549541 | − | 0.0200017i | ||||
\(330\) | −2.15363 | − | 3.60130i | −0.118554 | − | 0.198245i | ||||
\(331\) | −4.38923 | − | 24.8926i | −0.241254 | − | 1.36822i | −0.829034 | − | 0.559199i | \(-0.811109\pi\) |
0.587780 | − | 0.809021i | \(-0.300002\pi\) | |||||||
\(332\) | 1.14188 | − | 4.26154i | 0.0626686 | − | 0.233883i | ||||
\(333\) | 16.6956 | + | 13.4082i | 0.914916 | + | 0.734767i | ||||
\(334\) | 19.0931 | + | 11.0234i | 1.04473 | + | 0.603175i | ||||
\(335\) | 0.939311 | − | 0.868717i | 0.0513200 | − | 0.0474631i | ||||
\(336\) | 5.23832 | + | 3.93075i | 0.285774 | + | 0.214440i | ||||
\(337\) | −1.72746 | + | 0.151133i | −0.0941006 | + | 0.00823274i | −0.134109 | − | 0.990967i | \(-0.542817\pi\) |
0.0400082 | + | 0.999199i | \(0.487262\pi\) | |||||||
\(338\) | −11.9953 | + | 1.04946i | −0.652460 | + | 0.0570829i | ||||
\(339\) | 0.0134742 | − | 0.111607i | 0.000731818 | − | 0.00606166i | ||||
\(340\) | −8.58125 | + | 7.93633i | −0.465384 | + | 0.430408i | ||||
\(341\) | −9.80770 | − | 5.66248i | −0.531117 | − | 0.306640i | ||||
\(342\) | 6.53053 | − | 11.8948i | 0.353131 | − | 0.643196i | ||||
\(343\) | −4.16923 | + | 15.5598i | −0.225118 | + | 0.840150i | ||||
\(344\) | −1.22990 | − | 6.97513i | −0.0663120 | − | 0.376074i | ||||
\(345\) | 16.8285 | − | 0.258522i | 0.906017 | − | 0.0139183i | ||||
\(346\) | −8.27043 | + | 3.01019i | −0.444621 | + | 0.161829i | ||||
\(347\) | 8.10639 | − | 5.67616i | 0.435174 | − | 0.304712i | −0.335385 | − | 0.942081i | \(-0.608866\pi\) |
0.770559 | + | 0.637369i | \(0.219977\pi\) | |||||||
\(348\) | 8.35270 | − | 9.31449i | 0.447752 | − | 0.499309i | ||||
\(349\) | 19.9263 | + | 23.7472i | 1.06663 | + | 1.27116i | 0.960939 | + | 0.276759i | \(0.0892603\pi\) |
0.105689 | + | 0.994399i | \(0.466295\pi\) | |||||||
\(350\) | 12.2812 | − | 8.76923i | 0.656460 | − | 0.468735i | ||||
\(351\) | −5.27793 | − | 3.12781i | −0.281715 | − | 0.166950i | ||||
\(352\) | 3.48379 | − | 3.48379i | 0.185687 | − | 0.185687i | ||||
\(353\) | 0.319565 | − | 3.65264i | 0.0170087 | − | 0.194411i | −0.982937 | − | 0.183945i | \(-0.941113\pi\) |
0.999945 | − | 0.0104654i | \(-0.00333131\pi\) | |||||||
\(354\) | −15.6547 | + | 10.2114i | −0.832037 | + | 0.542730i | ||||
\(355\) | 7.25257 | − | 0.988845i | 0.384927 | − | 0.0524825i | ||||
\(356\) | 1.02575 | + | 2.81822i | 0.0543646 | + | 0.149365i | ||||
\(357\) | −28.5018 | − | 0.937508i | −1.50848 | − | 0.0496182i | ||||
\(358\) | 7.98960 | − | 11.4103i | 0.422264 | − | 0.603055i | ||||
\(359\) | 3.73590 | + | 6.47077i | 0.197173 | + | 0.341514i | 0.947611 | − | 0.319427i | \(-0.103491\pi\) |
−0.750438 | + | 0.660941i | \(0.770157\pi\) | |||||||
\(360\) | 10.4809 | − | 17.4405i | 0.552392 | − | 0.919196i | ||||
\(361\) | 0.00352408 | − | 0.00610389i | 0.000185478 | − | 0.000321258i | ||||
\(362\) | 8.74364 | + | 18.7508i | 0.459555 | + | 0.985520i | ||||
\(363\) | 15.9269 | + | 6.39740i | 0.835947 | + | 0.335777i | ||||
\(364\) | 2.03911 | − | 2.43012i | 0.106878 | − | 0.127373i | ||||
\(365\) | −11.9014 | − | 28.3621i | −0.622947 | − | 1.48454i | ||||
\(366\) | 2.65713 | + | 6.22473i | 0.138891 | + | 0.325372i | ||||
\(367\) | 15.3011 | − | 7.13502i | 0.798711 | − | 0.372445i | 0.0199776 | − | 0.999800i | \(-0.493640\pi\) |
0.778733 | + | 0.627356i | \(0.215863\pi\) | |||||||
\(368\) | −1.46190 | − | 5.45590i | −0.0762070 | − | 0.284408i | ||||
\(369\) | −0.719542 | + | 10.9258i | −0.0374579 | + | 0.568775i | ||||
\(370\) | −12.2600 | − | 11.1307i | −0.637366 | − | 0.578657i | ||||
\(371\) | −4.72067 | + | 0.832381i | −0.245085 | + | 0.0432151i | ||||
\(372\) | 0.570337 | − | 17.3392i | 0.0295706 | − | 0.898995i | ||||
\(373\) | −1.92488 | − | 0.897584i | −0.0996663 | − | 0.0464752i | 0.372146 | − | 0.928174i | \(-0.378622\pi\) |
−0.471812 | + | 0.881699i | \(0.656400\pi\) | |||||||
\(374\) | 1.06480 | − | 6.03879i | 0.0550596 | − | 0.312259i | ||||
\(375\) | −12.8083 | − | 14.5240i | −0.661420 | − | 0.750016i | ||||
\(376\) | −0.847268 | + | 0.710942i | −0.0436945 | + | 0.0366640i | ||||
\(377\) | 6.52949 | + | 6.52949i | 0.336286 | + | 0.336286i | ||||
\(378\) | 15.1935 | − | 3.88638i | 0.781470 | − | 0.199894i | ||||
\(379\) | − | 9.60506i | − | 0.493379i | −0.969095 | − | 0.246689i | \(-0.920657\pi\) | ||
0.969095 | − | 0.246689i | \(-0.0793427\pi\) | |||||||
\(380\) | 4.80267 | − | 7.61591i | 0.246372 | − | 0.390688i | ||||
\(381\) | −29.0206 | + | 1.57985i | −1.48677 | + | 0.0809383i | ||||
\(382\) | −0.539926 | − | 0.771094i | −0.0276250 | − | 0.0394526i | ||||
\(383\) | −0.0510389 | + | 0.109453i | −0.00260797 | + | 0.00559281i | −0.907607 | − | 0.419820i | \(-0.862093\pi\) |
0.904999 | + | 0.425413i | \(0.139871\pi\) | |||||||
\(384\) | 2.75195 | + | 0.835263i | 0.140435 | + | 0.0426243i | ||||
\(385\) | 2.01276 | − | 6.48778i | 0.102580 | − | 0.330648i | ||||
\(386\) | 6.64304 | − | 3.83536i | 0.338122 | − | 0.195215i | ||||
\(387\) | −6.14055 | − | 3.37131i | −0.312141 | − | 0.171374i | ||||
\(388\) | 10.6711 | − | 2.85931i | 0.541742 | − | 0.145159i | ||||
\(389\) | −24.1005 | − | 8.77187i | −1.22194 | − | 0.444752i | −0.351113 | − | 0.936333i | \(-0.614197\pi\) |
−0.870832 | + | 0.491581i | \(0.836419\pi\) | |||||||
\(390\) | 3.92767 | + | 2.66122i | 0.198885 | + | 0.134756i | ||||
\(391\) | 18.8409 | + | 15.8094i | 0.952825 | + | 0.799515i | ||||
\(392\) | 0.386646 | + | 4.41938i | 0.0195286 | + | 0.223213i | ||||
\(393\) | −6.49004 | + | 0.925525i | −0.327379 | + | 0.0466866i | ||||
\(394\) | 6.07627 | − | 16.6944i | 0.306118 | − | 0.841053i | ||||
\(395\) | −8.27106 | − | 1.79370i | −0.416162 | − | 0.0902507i | ||||
\(396\) | −0.314104 | − | 2.87636i | −0.0157843 | − | 0.144543i | ||||
\(397\) | 25.5064 | + | 6.83441i | 1.28013 | + | 0.343009i | 0.833903 | − | 0.551911i | \(-0.186101\pi\) |
0.446225 | + | 0.894921i | \(0.352768\pi\) | |||||||
\(398\) | −0.871221 | − | 0.610036i | −0.0436704 | − | 0.0305783i | ||||
\(399\) | 21.3938 | − | 4.98482i | 1.07103 | − | 0.249553i | ||||
\(400\) | −3.67840 | + | 5.35773i | −0.183920 | + | 0.267887i | ||||
\(401\) | −33.5008 | − | 5.90709i | −1.67295 | − | 0.294986i | −0.744826 | − | 0.667259i | \(-0.767468\pi\) |
−0.928124 | + | 0.372272i | \(0.878579\pi\) | |||||||
\(402\) | −0.977246 | + | 0.319716i | −0.0487406 | + | 0.0159460i | ||||
\(403\) | 12.7558 | + | 1.11599i | 0.635411 | + | 0.0555912i | ||||
\(404\) | −0.247631 | −0.0123201 | ||||||||
\(405\) | −6.95831 | − | 18.8834i | −0.345761 | − | 0.938323i | ||||
\(406\) | −23.6043 | −1.17146 | ||||||||
\(407\) | −7.42540 | − | 0.649638i | −0.368063 | − | 0.0322014i | ||||
\(408\) | 28.2606 | − | 9.24574i | 1.39911 | − | 0.457733i | ||||
\(409\) | 33.1027 | + | 5.83690i | 1.63682 | + | 0.288616i | 0.914998 | − | 0.403458i | \(-0.132192\pi\) |
0.721826 | + | 0.692075i | \(0.243303\pi\) | |||||||
\(410\) | 1.06650 | − | 8.39986i | 0.0526708 | − | 0.414840i | ||||
\(411\) | 36.4808 | − | 8.50012i | 1.79947 | − | 0.419280i | ||||
\(412\) | 9.60481 | + | 6.72536i | 0.473195 | + | 0.331335i | ||||
\(413\) | −29.2261 | − | 7.83112i | −1.43812 | − | 0.385344i | ||||
\(414\) | −12.3786 | − | 5.45131i | −0.608373 | − | 0.267917i | ||||
\(415\) | 5.78055 | + | 8.98202i | 0.283756 | + | 0.440910i | ||||
\(416\) | −1.90522 | + | 5.23454i | −0.0934110 | + | 0.256645i | ||||
\(417\) | −19.1904 | + | 2.73669i | −0.939760 | + | 0.134016i | ||||
\(418\) | 0.411677 | + | 4.70549i | 0.0201358 | + | 0.230153i | ||||
\(419\) | 23.6855 | + | 19.8745i | 1.15711 | + | 0.970932i | 0.999862 | − | 0.0166274i | \(-0.00529290\pi\) |
0.157249 | + | 0.987559i | \(0.449737\pi\) | |||||||
\(420\) | 10.2188 | − | 1.96415i | 0.498627 | − | 0.0958409i | ||||
\(421\) | −13.7828 | − | 5.01653i | −0.671732 | − | 0.244490i | −0.0164386 | − | 0.999865i | \(-0.505233\pi\) |
−0.655293 | + | 0.755374i | \(0.727455\pi\) | |||||||
\(422\) | 9.81539 | − | 2.63003i | 0.477806 | − | 0.128028i | ||||
\(423\) | 0.0235220 | + | 1.09366i | 0.00114368 | + | 0.0531756i | ||||
\(424\) | 4.32849 | − | 2.49906i | 0.210210 | − | 0.121365i | ||||
\(425\) | −0.260840 | − | 28.2974i | −0.0126526 | − | 1.37263i | ||||
\(426\) | −5.62885 | − | 1.70845i | −0.272719 | − | 0.0827748i | ||||
\(427\) | −4.63041 | + | 9.92994i | −0.224081 | + | 0.480543i | ||||
\(428\) | −3.77237 | − | 5.38751i | −0.182345 | − | 0.260415i | ||||
\(429\) | 2.13243 | − | 0.116087i | 0.102955 | − | 0.00560475i | ||||
\(430\) | 4.58212 | + | 2.88953i | 0.220970 | + | 0.139346i | ||||
\(431\) | − | 30.3267i | − | 1.46078i | −0.683028 | − | 0.730392i | \(-0.739337\pi\) | ||
0.683028 | − | 0.730392i | \(-0.260663\pi\) | |||||||
\(432\) | −5.57616 | + | 3.81067i | −0.268283 | + | 0.183341i | ||||
\(433\) | 5.35178 | + | 5.35178i | 0.257190 | + | 0.257190i | 0.823910 | − | 0.566720i | \(-0.191788\pi\) |
−0.566720 | + | 0.823910i | \(0.691788\pi\) | |||||||
\(434\) | −25.0735 | + | 21.0391i | −1.20356 | + | 1.00991i | ||||
\(435\) | 3.10312 | + | 30.1306i | 0.148783 | + | 1.44465i | ||||
\(436\) | 1.41349 | − | 8.01628i | 0.0676938 | − | 0.383910i | ||||
\(437\) | −17.1706 | − | 8.00677i | −0.821380 | − | 0.383016i | ||||
\(438\) | −0.812622 | + | 24.7050i | −0.0388286 | + | 1.18045i | ||||
\(439\) | −9.78003 | + | 1.72448i | −0.466775 | + | 0.0823051i | −0.402089 | − | 0.915601i | \(-0.631716\pi\) |
−0.0646863 | + | 0.997906i | \(0.520605\pi\) | |||||||
\(440\) | 0.341556 | + | 7.07456i | 0.0162830 | + | 0.337266i | ||||
\(441\) | 3.64745 | + | 2.43880i | 0.173688 | + | 0.116133i | ||||
\(442\) | 1.79441 | + | 6.69682i | 0.0853513 | + | 0.318535i | ||||
\(443\) | 8.40263 | − | 3.91821i | 0.399221 | − | 0.186160i | −0.212630 | − | 0.977133i | \(-0.568203\pi\) |
0.611851 | + | 0.790973i | \(0.290425\pi\) | |||||||
\(444\) | −4.48278 | − | 10.5016i | −0.212743 | − | 0.498382i | ||||
\(445\) | −6.72097 | − | 2.74770i | −0.318605 | − | 0.130253i | ||||
\(446\) | 6.53751 | − | 7.79110i | 0.309560 | − | 0.368919i | ||||
\(447\) | −21.2479 | − | 8.53468i | −1.00499 | − | 0.403676i | ||||
\(448\) | −9.21376 | − | 19.7590i | −0.435309 | − | 0.933524i | ||||
\(449\) | −15.0787 | + | 26.1171i | −0.711609 | + | 1.23254i | 0.252644 | + | 0.967559i | \(0.418700\pi\) |
−0.964253 | + | 0.264984i | \(0.914633\pi\) | |||||||
\(450\) | 4.48771 | + | 14.9014i | 0.211553 | + | 0.702459i | ||||
\(451\) | −1.90571 | − | 3.30079i | −0.0897364 | − | 0.155428i | ||||
\(452\) | −0.0343832 | + | 0.0491042i | −0.00161725 | + | 0.00230967i | ||||
\(453\) | 21.0663 | + | 0.692932i | 0.989779 | + | 0.0325568i | ||||
\(454\) | −6.07695 | − | 16.6963i | −0.285206 | − | 0.783596i | ||||
\(455\) | 1.03756 | + | 7.60987i | 0.0486416 | + | 0.356756i | ||||
\(456\) | −19.1841 | + | 12.5136i | −0.898379 | + | 0.586004i | ||||
\(457\) | 2.64140 | − | 30.1913i | 0.123559 | − | 1.41229i | −0.640902 | − | 0.767622i | \(-0.721440\pi\) |
0.764462 | − | 0.644669i | \(-0.223005\pi\) | |||||||
\(458\) | 13.4182 | − | 13.4182i | 0.626993 | − | 0.626993i | ||||
\(459\) | 10.3722 | − | 27.5190i | 0.484131 | − | 1.28448i | ||||
\(460\) | −7.97964 | − | 4.10731i | −0.372052 | − | 0.191504i | ||||
\(461\) | 8.35560 | + | 9.95782i | 0.389159 | + | 0.463782i | 0.924683 | − | 0.380738i | \(-0.124330\pi\) |
−0.535524 | + | 0.844520i | \(0.679886\pi\) | |||||||
\(462\) | −3.64457 | + | 4.06423i | −0.169561 | + | 0.189085i | ||||
\(463\) | 22.5069 | − | 15.7595i | 1.04598 | − | 0.732405i | 0.0815330 | − | 0.996671i | \(-0.474018\pi\) |
0.964450 | + | 0.264266i | \(0.0851295\pi\) | |||||||
\(464\) | 9.55234 | − | 3.47677i | 0.443456 | − | 0.161405i | ||||
\(465\) | 30.1524 | + | 29.2400i | 1.39828 | + | 1.35597i | ||||
\(466\) | 0.888904 | + | 5.04122i | 0.0411777 | + | 0.233530i | ||||
\(467\) | 7.76986 | − | 28.9975i | 0.359546 | − | 1.34184i | −0.515119 | − | 0.857118i | \(-0.672252\pi\) |
0.874666 | − | 0.484727i | \(-0.161081\pi\) | |||||||
\(468\) | 1.69628 | + | 2.79736i | 0.0784106 | + | 0.129308i | ||||
\(469\) | −1.44151 | − | 0.832256i | −0.0665627 | − | 0.0384300i | ||||
\(470\) | 0.0330036 | − | 0.845286i | 0.00152234 | − | 0.0389901i | ||||
\(471\) | 2.46153 | − | 20.3889i | 0.113421 | − | 0.939469i | ||||
\(472\) | 31.4287 | − | 2.74965i | 1.44662 | − | 0.126563i | ||||
\(473\) | 2.42915 | − | 0.212523i | 0.111693 | − | 0.00977184i | ||||
\(474\) | 5.44019 | + | 4.08223i | 0.249876 | + | 0.187503i | ||||
\(475\) | 5.83572 | + | 21.0029i | 0.267761 | + | 0.963678i | ||||
\(476\) | 13.1692 | + | 7.60323i | 0.603608 | + | 0.348493i | ||||
\(477\) | 0.753527 | − | 4.88559i | 0.0345016 | − | 0.223696i | ||||
\(478\) | −1.62198 | + | 6.05332i | −0.0741878 | + | 0.276872i | ||||
\(479\) | 1.81506 | + | 10.2937i | 0.0829324 | + | 0.470333i | 0.997784 | + | 0.0665419i | \(0.0211966\pi\) |
−0.914851 | + | 0.403791i | \(0.867692\pi\) | |||||||
\(480\) | −15.6822 | + | 9.37823i | −0.715792 | + | 0.428055i | ||||
\(481\) | 7.91931 | − | 2.88239i | 0.361090 | − | 0.131426i | ||||
\(482\) | 14.6182 | − | 10.2358i | 0.665843 | − | 0.466228i | ||||
\(483\) | −6.80837 | − | 20.8105i | −0.309792 | − | 0.946911i | ||||
\(484\) | −5.88302 | − | 7.01111i | −0.267410 | − | 0.318687i | ||||
\(485\) | −12.2407 | + | 23.7812i | −0.555823 | + | 1.07985i | ||||
\(486\) | −1.24633 | + | 16.1249i | −0.0565348 | + | 0.731441i | ||||
\(487\) | −13.7181 | + | 13.7181i | −0.621625 | + | 0.621625i | −0.945947 | − | 0.324322i | \(-0.894864\pi\) |
0.324322 | + | 0.945947i | \(0.394864\pi\) | |||||||
\(488\) | 0.995683 | − | 11.3807i | 0.0450725 | − | 0.515181i | ||||
\(489\) | −22.1032 | − | 11.2058i | −0.999541 | − | 0.506744i | ||||
\(490\) | −2.70135 | − | 2.05311i | −0.122034 | − | 0.0927499i | ||||
\(491\) | 14.3153 | + | 39.3310i | 0.646040 | + | 1.77498i | 0.631861 | + | 0.775082i | \(0.282292\pi\) |
0.0141799 | + | 0.999899i | \(0.495486\pi\) | |||||||
\(492\) | 3.08399 | − | 4.95773i | 0.139037 | − | 0.223512i | ||||
\(493\) | −25.3887 | + | 36.2588i | −1.14345 | + | 1.63301i | ||||
\(494\) | −2.67028 | − | 4.62506i | −0.120141 | − | 0.208091i | ||||
\(495\) | 5.66706 | + | 4.11794i | 0.254715 | + | 0.185088i | ||||
\(496\) | 7.04794 | − | 12.2074i | 0.316462 | − | 0.548128i | ||||
\(497\) | −4.02444 | − | 8.63045i | −0.180521 | − | 0.387129i | ||||
\(498\) | −1.21188 | − | 8.49803i | −0.0543056 | − | 0.380806i | ||||
\(499\) | −17.0051 | + | 20.2659i | −0.761253 | + | 0.907226i | −0.997927 | − | 0.0643635i | \(-0.979498\pi\) |
0.236674 | + | 0.971589i | \(0.423943\pi\) | |||||||
\(500\) | 2.37415 | + | 10.0495i | 0.106175 | + | 0.449426i | ||||
\(501\) | −36.5407 | − | 4.41153i | −1.63252 | − | 0.197093i | ||||
\(502\) | 0.266708 | − | 0.124368i | 0.0119038 | − | 0.00555082i | ||||
\(503\) | −6.58100 | − | 24.5606i | −0.293432 | − | 1.09510i | −0.942455 | − | 0.334334i | \(-0.891489\pi\) |
0.649023 | − | 0.760769i | \(-0.275178\pi\) | |||||||
\(504\) | −25.7108 | − | 6.29991i | −1.14525 | − | 0.280620i | ||||
\(505\) | 0.402993 | − | 0.443880i | 0.0179330 | − | 0.0197524i | ||||
\(506\) | 4.63667 | − | 0.817570i | 0.206125 | − | 0.0363454i | ||||
\(507\) | 17.7299 | − | 9.47328i | 0.787414 | − | 0.420723i | ||||
\(508\) | 14.0458 | + | 6.54964i | 0.623180 | + | 0.290593i | ||||
\(509\) | −5.29524 | + | 30.0308i | −0.234707 | + | 1.33109i | 0.608522 | + | 0.793537i | \(0.291763\pi\) |
−0.843229 | + | 0.537554i | \(0.819348\pi\) | |||||||
\(510\) | −9.29347 | + | 20.7565i | −0.411522 | + | 0.919112i | ||||
\(511\) | −30.6533 | + | 25.7211i | −1.35602 | + | 1.13784i | ||||
\(512\) | 9.91177 | + | 9.91177i | 0.438043 | + | 0.438043i | ||||
\(513\) | −2.23101 | + | 22.5436i | −0.0985017 | + | 0.995323i | ||||
\(514\) | 6.76745i | 0.298499i | ||||||||
\(515\) | −27.6860 | + | 6.27185i | −1.21999 | + | 0.276371i | ||||
\(516\) | 2.04079 | + | 3.12865i | 0.0898408 | + | 0.137731i | ||||
\(517\) | −0.218408 | − | 0.311918i | −0.00960556 | − | 0.0137182i | ||||
\(518\) | −9.10432 | + | 19.5243i | −0.400021 | + | 0.857847i | ||||
\(519\) | 10.7256 | − | 10.0425i | 0.470800 | − | 0.440815i | ||||
\(520\) | −3.73044 | − | 7.08618i | −0.163591 | − | 0.310750i | ||||
\(521\) | −1.09146 | + | 0.630155i | −0.0478178 | + | 0.0276076i | −0.523718 | − | 0.851892i | \(-0.675456\pi\) |
0.475901 | + | 0.879499i | \(0.342122\pi\) | |||||||
\(522\) | 7.83178 | − | 23.0480i | 0.342788 | − | 1.00879i | ||||
\(523\) | −9.13037 | + | 2.44648i | −0.399243 | + | 0.106977i | −0.452853 | − | 0.891585i | \(-0.649594\pi\) |
0.0536101 | + | 0.998562i | \(0.482927\pi\) | |||||||
\(524\) | 3.28493 | + | 1.19562i | 0.143503 | + | 0.0522308i | ||||
\(525\) | −13.1093 | + | 21.5137i | −0.572135 | + | 0.938935i | ||||
\(526\) | 3.61534 | + | 3.03363i | 0.157636 | + | 0.132272i | ||||
\(527\) | 5.34950 | + | 61.1451i | 0.233028 | + | 2.66352i | ||||
\(528\) | 0.876271 | − | 2.18156i | 0.0381348 | − | 0.0949401i | ||||
\(529\) | 1.40762 | − | 3.86740i | 0.0612007 | − | 0.168148i | ||||
\(530\) | −0.810182 | + | 3.73589i | −0.0351920 | + | 0.162277i | ||||
\(531\) | 17.3436 | − | 25.9390i | 0.752649 | − | 1.12566i | ||||
\(532\) | −11.3144 | − | 3.03170i | −0.490544 | − | 0.131441i | ||||
\(533\) | 3.53002 | + | 2.47175i | 0.152902 | + | 0.107063i | ||||
\(534\) | 3.98824 | + | 4.25953i | 0.172588 | + | 0.184328i | ||||
\(535\) | 15.7963 | + | 2.00560i | 0.682932 | + | 0.0867096i | ||||
\(536\) | 1.70920 | + | 0.301378i | 0.0738261 | + | 0.0130175i | ||||
\(537\) | −4.78880 | + | 22.7561i | −0.206652 | + | 0.981997i | ||||
\(538\) | −7.94036 | − | 0.694691i | −0.342333 | − | 0.0299503i | ||||
\(539\) | −1.52731 | −0.0657859 | ||||||||
\(540\) | −1.47268 | + | 10.6297i | −0.0633740 | + | 0.457428i | ||||
\(541\) | −14.5318 | −0.624771 | −0.312385 | − | 0.949955i | \(-0.601128\pi\) | ||||
−0.312385 | + | 0.949955i | \(0.601128\pi\) | |||||||
\(542\) | −19.4793 | − | 1.70422i | −0.836710 | − | 0.0732026i | ||||
\(543\) | −25.7146 | − | 23.0594i | −1.10352 | − | 0.989575i | ||||
\(544\) | −26.2966 | − | 4.63679i | −1.12746 | − | 0.198801i | ||||
\(545\) | 12.0689 | + | 15.5793i | 0.516976 | + | 0.667345i | ||||
\(546\) | 1.79262 | − | 5.90615i | 0.0767170 | − | 0.252760i | ||||
\(547\) | −11.9957 | − | 8.39950i | −0.512900 | − | 0.359136i | 0.288293 | − | 0.957542i | \(-0.406912\pi\) |
−0.801193 | + | 0.598406i | \(0.795801\pi\) | |||||||
\(548\) | −19.2934 | − | 5.16965i | −0.824174 | − | 0.220837i | ||||
\(549\) | −8.15957 | − | 7.81598i | −0.348242 | − | 0.333578i | ||||
\(550\) | −4.18172 | − | 3.44369i | −0.178309 | − | 0.146840i | ||||
\(551\) | 11.6617 | − | 32.0403i | 0.496805 | − | 1.36496i | ||||
\(552\) | 14.0923 | + | 17.9623i | 0.599809 | + | 0.764524i | ||||
\(553\) | 0.959627 | + | 10.9686i | 0.0408075 | + | 0.466432i | ||||
\(554\) | −7.86176 | − | 6.59680i | −0.334014 | − | 0.280271i | ||||
\(555\) | 26.1193 | + | 9.05479i | 1.10870 | + | 0.384354i | ||||
\(556\) | 9.71323 | + | 3.53533i | 0.411933 | + | 0.149931i | ||||
\(557\) | 3.61631 | − | 0.968988i | 0.153228 | − | 0.0410573i | −0.181390 | − | 0.983411i | \(-0.558059\pi\) |
0.334618 | + | 0.942354i | \(0.391393\pi\) | |||||||
\(558\) | −12.2241 | − | 31.4632i | −0.517486 | − | 1.33194i | ||||
\(559\) | −2.38763 | + | 1.37850i | −0.100986 | + | 0.0583044i | ||||
\(560\) | 8.07518 | + | 2.50524i | 0.341239 | + | 0.105866i | ||||
\(561\) | 2.32302 | + | 9.96991i | 0.0980778 | + | 0.420930i | ||||
\(562\) | 2.06709 | − | 4.43289i | 0.0871950 | − | 0.186990i | ||||
\(563\) | −5.55357 | − | 7.93132i | −0.234055 | − | 0.334265i | 0.684893 | − | 0.728644i | \(-0.259849\pi\) |
−0.918948 | + | 0.394378i | \(0.870960\pi\) | |||||||
\(564\) | 0.263767 | − | 0.520273i | 0.0111066 | − | 0.0219075i | ||||
\(565\) | −0.0320646 | − | 0.141544i | −0.00134897 | − | 0.00595479i | ||||
\(566\) | − | 0.0155243i | − | 0.000652537i | ||||||
\(567\) | −20.7811 | + | 15.9253i | −0.872723 | + | 0.668798i | ||||
\(568\) | 7.02097 | + | 7.02097i | 0.294593 | + | 0.294593i | ||||
\(569\) | 29.7838 | − | 24.9915i | 1.24860 | − | 1.04770i | 0.251799 | − | 0.967780i | \(-0.418978\pi\) |
0.996801 | − | 0.0799199i | \(-0.0254665\pi\) | |||||||
\(570\) | 2.77666 | − | 17.2968i | 0.116301 | − | 0.724483i | ||||
\(571\) | −1.13871 | + | 6.45794i | −0.0476535 | + | 0.270256i | −0.999320 | − | 0.0368775i | \(-0.988259\pi\) |
0.951666 | + | 0.307134i | \(0.0993700\pi\) | |||||||
\(572\) | −1.03208 | − | 0.481267i | −0.0431534 | − | 0.0201228i | ||||
\(573\) | 1.33440 | + | 0.830070i | 0.0557452 | + | 0.0346767i | ||||
\(574\) | −10.8483 | + | 1.91285i | −0.452800 | + | 0.0798408i | ||||
\(575\) | 20.3484 | − | 7.61933i | 0.848585 | − | 0.317748i | ||||
\(576\) | 22.3504 | − | 2.44070i | 0.931266 | − | 0.101696i | ||||
\(577\) | 2.53716 | + | 9.46880i | 0.105623 | + | 0.394191i | 0.998415 | − | 0.0562782i | \(-0.0179234\pi\) |
−0.892792 | + | 0.450469i | \(0.851257\pi\) | |||||||
\(578\) | −14.1350 | + | 6.59126i | −0.587939 | + | 0.274160i | ||||
\(579\) | −7.68603 | + | 10.2428i | −0.319421 | + | 0.425677i | ||||
\(580\) | 6.11217 | − | 14.9506i | 0.253794 | − | 0.620790i | ||||
\(581\) | 8.93223 | − | 10.6450i | 0.370571 | − | 0.441630i | ||||
\(582\) | 16.9112 | − | 13.2678i | 0.700993 | − | 0.549966i | ||||
\(583\) | 0.727218 | + | 1.55952i | 0.0301183 | + | 0.0645888i | ||||
\(584\) | 20.8616 | − | 36.1333i | 0.863258 | − | 1.49521i | ||||
\(585\) | −7.77479 | − | 1.51181i | −0.321448 | − | 0.0625054i | ||||
\(586\) | 11.8946 | + | 20.6020i | 0.491360 | + | 0.851060i | ||||
\(587\) | −10.1521 | + | 14.4987i | −0.419023 | + | 0.598427i | −0.972061 | − | 0.234729i | \(-0.924580\pi\) |
0.553038 | + | 0.833156i | \(0.313469\pi\) | |||||||
\(588\) | −1.10259 | − | 2.06358i | −0.0454701 | − | 0.0851005i | ||||
\(589\) | −16.1708 | − | 44.4288i | −0.666305 | − | 1.83066i | ||||
\(590\) | −14.6008 | + | 19.2108i | −0.601104 | + | 0.790895i | ||||
\(591\) | 1.61223 | + | 29.6153i | 0.0663182 | + | 1.21821i | ||||
\(592\) | 0.808588 | − | 9.24221i | 0.0332328 | − | 0.379852i | ||||
\(593\) | 3.34033 | − | 3.34033i | 0.137171 | − | 0.137171i | −0.635187 | − | 0.772358i | \(-0.719077\pi\) |
0.772358 | + | 0.635187i | \(0.219077\pi\) | |||||||
\(594\) | −2.75920 | − | 4.90717i | −0.113211 | − | 0.201343i | ||||
\(595\) | −35.0602 | + | 11.2324i | −1.43733 | + | 0.460482i | ||||
\(596\) | 7.84845 | + | 9.35341i | 0.321485 | + | 0.383131i | ||||
\(597\) | 1.73751 | + | 0.365642i | 0.0711115 | + | 0.0149647i | ||||
\(598\) | −4.36059 | + | 3.05332i | −0.178318 | + | 0.124859i | ||||
\(599\) | 18.0781 | − | 6.57991i | 0.738653 | − | 0.268848i | 0.0548301 | − | 0.998496i | \(-0.482538\pi\) |
0.683823 | + | 0.729648i | \(0.260316\pi\) | |||||||
\(600\) | 5.17231 | − | 25.7543i | 0.211159 | − | 1.05141i | ||||
\(601\) | −1.93521 | − | 10.9751i | −0.0789387 | − | 0.447684i | −0.998501 | − | 0.0547387i | \(-0.982567\pi\) |
0.919562 | − | 0.392945i | \(-0.128544\pi\) | |||||||
\(602\) | 1.82402 | − | 6.80735i | 0.0743417 | − | 0.277447i | ||||
\(603\) | 1.29093 | − | 1.13140i | 0.0525706 | − | 0.0460741i | ||||
\(604\) | −9.73361 | − | 5.61970i | −0.396055 | − | 0.228662i | ||||
\(605\) | 22.1414 | + | 0.864496i | 0.900177 | + | 0.0351468i | ||||
\(606\) | −0.443123 | + | 0.189155i | −0.0180006 | + | 0.00768388i | ||||
\(607\) | 18.3352 | − | 1.60413i | 0.744204 | − | 0.0651094i | 0.291255 | − | 0.956646i | \(-0.405927\pi\) |
0.452950 | + | 0.891536i | \(0.350372\pi\) | |||||||
\(608\) | 20.4905 | − | 1.79269i | 0.831001 | − | 0.0727032i | ||||
\(609\) | 36.2423 | − | 15.4707i | 1.46861 | − | 0.626903i | ||||
\(610\) | 5.93268 | + | 6.41477i | 0.240207 | + | 0.259727i | ||||
\(611\) | 0.372849 | + | 0.215265i | 0.0150839 | + | 0.00870868i | ||||
\(612\) | −11.7935 | + | 10.3361i | −0.476724 | + | 0.417812i | ||||
\(613\) | −2.08262 | + | 7.77243i | −0.0841161 | + | 0.313926i | −0.995145 | − | 0.0984162i | \(-0.968622\pi\) |
0.911029 | + | 0.412342i | \(0.135289\pi\) | |||||||
\(614\) | 4.91471 | + | 27.8727i | 0.198342 | + | 1.12485i | ||||
\(615\) | 3.86789 | + | 13.5962i | 0.155968 | + | 0.548253i | ||||
\(616\) | 8.65878 | − | 3.15154i | 0.348872 | − | 0.126979i | ||||
\(617\) | 5.25082 | − | 3.67666i | 0.211390 | − | 0.148017i | −0.463087 | − | 0.886313i | \(-0.653258\pi\) |
0.674477 | + | 0.738296i | \(0.264369\pi\) | |||||||
\(618\) | 22.3245 | + | 4.69798i | 0.898023 | + | 0.188980i | ||||
\(619\) | −17.8281 | − | 21.2467i | −0.716573 | − | 0.853979i | 0.277720 | − | 0.960662i | \(-0.410421\pi\) |
−0.994293 | + | 0.106683i | \(0.965977\pi\) | |||||||
\(620\) | −6.83325 | − | 21.3290i | −0.274430 | − | 0.856595i | ||||
\(621\) | 22.5790 | + | 0.256889i | 0.906066 | + | 0.0103086i | ||||
\(622\) | −23.2671 | + | 23.2671i | −0.932926 | + | 0.932926i | ||||
\(623\) | −0.823294 | + | 9.41029i | −0.0329846 | + | 0.377015i | ||||
\(624\) | 0.144491 | + | 2.65418i | 0.00578427 | + | 0.106252i | ||||
\(625\) | −21.8774 | − | 12.0988i | −0.875095 | − | 0.483951i | ||||
\(626\) | −4.06240 | − | 11.1614i | −0.162366 | − | 0.446098i | ||||
\(627\) | −3.71614 | − | 6.95503i | −0.148409 | − | 0.277757i | ||||
\(628\) | −6.28127 | + | 8.97058i | −0.250650 | + | 0.357965i | ||||
\(629\) | 20.1988 | + | 34.9854i | 0.805380 | + | 1.39496i | ||||
\(630\) | 16.7857 | − | 11.3204i | 0.668757 | − | 0.451017i | ||||
\(631\) | 7.53540 | − | 13.0517i | 0.299979 | − | 0.519580i | −0.676151 | − | 0.736763i | \(-0.736353\pi\) |
0.976131 | + | 0.217183i | \(0.0696868\pi\) | |||||||
\(632\) | −4.85187 | − | 10.4049i | −0.192997 | − | 0.413883i | ||||
\(633\) | −13.3469 | + | 10.4713i | −0.530491 | + | 0.416198i | ||||
\(634\) | 8.34750 | − | 9.94816i | 0.331522 | − | 0.395092i | ||||
\(635\) | −34.5982 | + | 14.5182i | −1.37299 | + | 0.576138i | ||||
\(636\) | −1.58211 | + | 2.10840i | −0.0627347 | + | 0.0836036i | ||||
\(637\) | 1.56505 | − | 0.729797i | 0.0620097 | − | 0.0289156i | ||||
\(638\) | 2.19307 | + | 8.18464i | 0.0868244 | + | 0.324033i | ||||
\(639\) | 9.76234 | − | 1.06606i | 0.386192 | − | 0.0421729i | ||||
\(640\) | 3.70847 | − | 0.179043i | 0.146590 | − | 0.00707729i | ||||
\(641\) | 28.9474 | − | 5.10420i | 1.14335 | − | 0.201604i | 0.430281 | − | 0.902695i | \(-0.358415\pi\) |
0.713071 | + | 0.701091i | \(0.247304\pi\) | |||||||
\(642\) | −10.8657 | − | 6.75910i | −0.428836 | − | 0.266761i | ||||
\(643\) | −19.6987 | − | 9.18567i | −0.776842 | − | 0.362248i | −0.00658305 | − | 0.999978i | \(-0.502095\pi\) |
−0.770259 | + | 0.637731i | \(0.779873\pi\) | |||||||
\(644\) | −2.02747 | + | 11.4983i | −0.0798935 | + | 0.453098i | ||||
\(645\) | −8.92928 | − | 1.43342i | −0.351590 | − | 0.0564408i | ||||
\(646\) | 19.6108 | − | 16.4554i | 0.771576 | − | 0.647429i | ||||
\(647\) | −16.4745 | − | 16.4745i | −0.647680 | − | 0.647680i | 0.304752 | − | 0.952432i | \(-0.401426\pi\) |
−0.952432 | + | 0.304752i | \(0.901426\pi\) | |||||||
\(648\) | 14.6822 | − | 23.0146i | 0.576769 | − | 0.904100i | ||||
\(649\) | 10.8616i | 0.426353i | ||||||||
\(650\) | 5.93056 | + | 1.53064i | 0.232616 | + | 0.0600367i | ||||
\(651\) | 24.7086 | − | 48.7372i | 0.968408 | − | 1.91016i | ||||
\(652\) | 7.57948 | + | 10.8246i | 0.296835 | + | 0.423925i | ||||
\(653\) | 5.62864 | − | 12.0707i | 0.220266 | − | 0.472362i | −0.764860 | − | 0.644197i | \(-0.777192\pi\) |
0.985126 | + | 0.171835i | \(0.0549696\pi\) | |||||||
\(654\) | −3.59393 | − | 15.4244i | −0.140534 | − | 0.603142i | ||||
\(655\) | −7.48902 | + | 3.94251i | −0.292620 | + | 0.154047i | ||||
\(656\) | 4.10841 | − | 2.37199i | 0.160406 | − | 0.0926106i | ||||
\(657\) | −14.9444 | − | 38.4650i | −0.583036 | − | 1.50066i | ||||
\(658\) | −1.06303 | + | 0.284837i | −0.0414411 | + | 0.0111041i | ||||
\(659\) | −12.4761 | − | 4.54094i | −0.486001 | − | 0.176890i | 0.0873859 | − | 0.996175i | \(-0.472149\pi\) |
−0.573387 | + | 0.819285i | \(0.694371\pi\) | |||||||
\(660\) | −1.63048 | − | 3.36081i | −0.0634664 | − | 0.130819i | ||||
\(661\) | −9.01628 | − | 7.56556i | −0.350693 | − | 0.294266i | 0.450375 | − | 0.892839i | \(-0.351290\pi\) |
−0.801068 | + | 0.598573i | \(0.795735\pi\) | |||||||
\(662\) | 2.28561 | + | 26.1246i | 0.0888328 | + | 1.01536i | ||||
\(663\) | −7.14436 | − | 9.10628i | −0.277464 | − | 0.353659i | ||||
\(664\) | −4.95562 | + | 13.6155i | −0.192316 | + | 0.528383i | ||||
\(665\) | 23.8474 | − | 15.3474i | 0.924762 | − | 0.595148i | ||||
\(666\) | −16.0434 | − | 15.3678i | −0.621668 | − | 0.595490i | ||||
\(667\) | −32.8283 | − | 8.79631i | −1.27112 | − | 0.340595i | ||||
\(668\) | 16.0770 | + | 11.2572i | 0.622038 | + | 0.435555i | ||||
\(669\) | −4.93134 | + | 16.2473i | −0.190657 | + | 0.628158i | ||||
\(670\) | −1.04938 | + | 0.812928i | −0.0405410 | + | 0.0314061i | ||||
\(671\) | 3.87335 | + | 0.682976i | 0.149529 | + | 0.0263660i | ||||
\(672\) | 17.6981 | + | 15.8707i | 0.682720 | + | 0.612224i | ||||
\(673\) | 11.5900 | + | 1.01400i | 0.446763 | + | 0.0390867i | 0.308318 | − | 0.951283i | \(-0.400234\pi\) |
0.138445 | + | 0.990370i | \(0.455790\pi\) | |||||||
\(674\) | 1.79908 | 0.0692981 | ||||||||
\(675\) | −16.6571 | − | 19.9384i | −0.641132 | − | 0.767431i | ||||
\(676\) | −10.7192 | −0.412276 | ||||||||
\(677\) | 5.37998 | + | 0.470687i | 0.206769 | + | 0.0180900i | 0.190070 | − | 0.981771i | \(-0.439129\pi\) |
0.0166995 | + | 0.999861i | \(0.494684\pi\) | |||||||
\(678\) | −0.0240182 | + | 0.114133i | −0.000922415 | + | 0.00438326i | ||||
\(679\) | 34.2678 | + | 6.04233i | 1.31508 | + | 0.231883i | ||||
\(680\) | 30.3465 | − | 23.5087i | 1.16374 | − | 0.901518i | ||||
\(681\) | 20.2736 | + | 21.6527i | 0.776888 | + | 0.829734i | ||||
\(682\) | 9.62474 | + | 6.73932i | 0.368550 | + | 0.258062i | ||||
\(683\) | 16.0348 | + | 4.29650i | 0.613553 | + | 0.164401i | 0.552195 | − | 0.833715i | \(-0.313790\pi\) |
0.0613579 | + | 0.998116i | \(0.480457\pi\) | |||||||
\(684\) | 6.71432 | − | 10.0419i | 0.256728 | − | 0.383962i | ||||
\(685\) | 40.6646 | − | 26.1705i | 1.55371 | − | 0.999922i | ||||
\(686\) | 5.71610 | − | 15.7049i | 0.218242 | − | 0.599614i | ||||
\(687\) | −11.8080 | + | 29.3970i | −0.450502 | + | 1.12157i | ||||
\(688\) | 0.264523 | + | 3.02351i | 0.0100848 | + | 0.115270i | ||||
\(689\) | −1.49038 | − | 1.25058i | −0.0567789 | − | 0.0476431i | ||||
\(690\) | −17.4165 | − | 1.25451i | −0.663036 | − | 0.0477583i | ||||
\(691\) | 4.89099 | + | 1.78018i | 0.186062 | + | 0.0677211i | 0.433371 | − | 0.901216i | \(-0.357324\pi\) |
−0.247309 | + | 0.968937i | \(0.579546\pi\) | |||||||
\(692\) | −7.56797 | + | 2.02783i | −0.287691 | + | 0.0770866i | ||||
\(693\) | 2.93215 | − | 8.62897i | 0.111383 | − | 0.327787i | ||||
\(694\) | −8.89164 | + | 5.13359i | −0.337522 | + | 0.194868i | ||||
\(695\) | −22.1443 | + | 11.6576i | −0.839982 | + | 0.442199i | ||||
\(696\) | −29.9933 | + | 28.0830i | −1.13689 | + | 1.06448i | ||||
\(697\) | −8.73003 | + | 18.7216i | −0.330674 | + | 0.709132i | ||||
\(698\) | −18.4475 | − | 26.3458i | −0.698248 | − | 0.997202i | ||||
\(699\) | −4.66893 | − | 7.15774i | −0.176595 | − | 0.270731i | ||||
\(700\) | 11.5717 | − | 6.82390i | 0.437369 | − | 0.257919i | ||||
\(701\) | 30.8522i | 1.16527i | 0.812733 | + | 0.582636i | \(0.197979\pi\) | ||||
−0.812733 | + | 0.582636i | \(0.802021\pi\) | |||||||
\(702\) | 5.17218 | + | 3.71000i | 0.195211 | + | 0.140025i | ||||
\(703\) | −22.0041 | − | 22.0041i | −0.829899 | − | 0.829899i | ||||
\(704\) | −5.99524 | + | 5.03061i | −0.225954 | + | 0.189598i | ||||
\(705\) | 0.503340 | + | 1.31949i | 0.0189569 | + | 0.0496949i | ||||
\(706\) | −0.660573 | + | 3.74630i | −0.0248610 | + | 0.140994i | ||||
\(707\) | −0.706888 | − | 0.329627i | −0.0265853 | − | 0.0123969i | ||||
\(708\) | −14.6752 | + | 7.84113i | −0.551529 | + | 0.294688i | ||||
\(709\) | −19.4630 | + | 3.43186i | −0.730949 | + | 0.128886i | −0.526722 | − | 0.850038i | \(-0.676579\pi\) |
−0.204227 | + | 0.978924i | \(0.565468\pi\) | |||||||
\(710\) | −7.58533 | + | 0.366215i | −0.284672 | + | 0.0137438i | ||||
\(711\) | −11.0285 | − | 2.70230i | −0.413600 | − | 0.101344i | ||||
\(712\) | −2.54923 | − | 9.51386i | −0.0955365 | − | 0.356547i | ||||
\(713\) | −42.7119 | + | 19.9169i | −1.59957 | + | 0.745893i | ||||
\(714\) | 29.3733 | + | 3.54621i | 1.09927 | + | 0.132714i | ||||
\(715\) | 2.54227 | − | 1.06680i | 0.0950756 | − | 0.0398959i | ||||
\(716\) | 7.97067 | − | 9.49908i | 0.297878 | − | 0.354997i | ||||
\(717\) | −1.47704 | − | 10.3574i | −0.0551610 | − | 0.386804i | ||||
\(718\) | −3.27613 | − | 7.02568i | −0.122264 | − | 0.262196i | ||||
\(719\) | 3.29514 | − | 5.70736i | 0.122888 | − | 0.212849i | −0.798017 | − | 0.602635i | \(-0.794118\pi\) |
0.920905 | + | 0.389786i | \(0.127451\pi\) | |||||||
\(720\) | −5.12549 | + | 7.05365i | −0.191016 | + | 0.262874i | ||||
\(721\) | 18.4656 | + | 31.9834i | 0.687695 | + | 1.19112i | ||||
\(722\) | −0.00419426 | + | 0.00599003i | −0.000156094 | + | 0.000222926i | ||||
\(723\) | −15.7363 | + | 25.2972i | −0.585239 | + | 0.940813i | ||||
\(724\) | 6.29925 | + | 17.3071i | 0.234110 | + | 0.643212i | ||||
\(725\) | 16.8521 | + | 35.2866i | 0.625871 | + | 1.31051i | ||||
\(726\) | −15.8828 | − | 8.05222i | −0.589467 | − | 0.298846i | ||||
\(727\) | 1.33493 | − | 15.2584i | 0.0495099 | − | 0.565901i | −0.930411 | − | 0.366517i | \(-0.880550\pi\) |
0.979921 | − | 0.199384i | \(-0.0638942\pi\) | |||||||
\(728\) | −7.36685 | + | 7.36685i | −0.273034 | + | 0.273034i | ||||
\(729\) | −8.65490 | − | 25.5752i | −0.320552 | − | 0.947231i | ||||
\(730\) | 9.73608 | + | 30.3898i | 0.360349 | + | 1.12478i | ||||
\(731\) | −8.49492 | − | 10.1238i | −0.314196 | − | 0.374444i | ||||
\(732\) | 1.87345 | + | 5.72640i | 0.0692448 | + | 0.211654i | ||||
\(733\) | 0.908462 | − | 0.636112i | 0.0335548 | − | 0.0234953i | −0.556679 | − | 0.830728i | \(-0.687925\pi\) |
0.590234 | + | 0.807233i | \(0.299036\pi\) | |||||||
\(734\) | −16.4596 | + | 5.99082i | −0.607537 | + | 0.221125i | ||||
\(735\) | 5.49332 | + | 1.38185i | 0.202624 | + | 0.0509704i | ||||
\(736\) | −3.56019 | − | 20.1909i | −0.131230 | − | 0.744245i | ||||
\(737\) | −0.154649 | + | 0.577158i | −0.00569657 | + | 0.0212599i | ||||
\(738\) | 1.73164 | − | 11.2273i | 0.0637425 | − | 0.413283i | ||||
\(739\) | 0.148882 | + | 0.0859569i | 0.00547670 | + | 0.00316198i | 0.502736 | − | 0.864440i | \(-0.332327\pi\) |
−0.497259 | + | 0.867602i | \(0.665660\pi\) | |||||||
\(740\) | −10.0089 | − | 10.8222i | −0.367933 | − | 0.397832i | ||||
\(741\) | 7.13131 | + | 5.35122i | 0.261975 | + | 0.196582i | ||||
\(742\) | 4.95432 | − | 0.433447i | 0.181879 | − | 0.0159123i | ||||
\(743\) | 20.1450 | − | 1.76246i | 0.739048 | − | 0.0646584i | 0.288586 | − | 0.957454i | \(-0.406815\pi\) |
0.450462 | + | 0.892796i | \(0.351259\pi\) | |||||||
\(744\) | −6.82900 | + | 56.5646i | −0.250363 | + | 2.07376i | ||||
\(745\) | −29.5385 | − | 1.15331i | −1.08221 | − | 0.0422540i | ||||
\(746\) | 1.90830 | + | 1.10175i | 0.0698677 | + | 0.0403381i | ||||
\(747\) | 7.43048 | + | 12.2537i | 0.271867 | + | 0.448339i | ||||
\(748\) | 1.41283 | − | 5.27274i | 0.0516580 | − | 0.192790i | ||||
\(749\) | −3.59719 | − | 20.4007i | −0.131438 | − | 0.745424i | ||||
\(750\) | 11.9248 | + | 16.1695i | 0.435431 | + | 0.590426i | ||||
\(751\) | 16.8648 | − | 6.13828i | 0.615405 | − | 0.223989i | −0.0154616 | − | 0.999880i | \(-0.504922\pi\) |
0.630867 | + | 0.775891i | \(0.282700\pi\) | |||||||
\(752\) | 0.388237 | − | 0.271846i | 0.0141575 | − | 0.00991322i | ||||
\(753\) | −0.327993 | + | 0.365761i | −0.0119527 | + | 0.0133291i | ||||
\(754\) | −6.15814 | − | 7.33898i | −0.224266 | − | 0.267270i | ||||
\(755\) | 25.9137 | − | 8.30206i | 0.943097 | − | 0.302143i | ||||
\(756\) | 13.7755 | − | 2.26772i | 0.501011 | − | 0.0824761i | ||||
\(757\) | −19.5487 | + | 19.5487i | −0.710508 | + | 0.710508i | −0.966641 | − | 0.256133i | \(-0.917551\pi\) |
0.256133 | + | 0.966641i | \(0.417551\pi\) | |||||||
\(758\) | −0.868528 | + | 9.92732i | −0.0315464 | + | 0.360577i | ||||
\(759\) | −6.58334 | + | 4.29425i | −0.238960 | + | 0.155871i | ||||
\(760\) | −17.8926 | + | 23.5420i | −0.649033 | + | 0.853957i | ||||
\(761\) | 0.210722 | + | 0.578955i | 0.00763868 | + | 0.0209871i | 0.943453 | − | 0.331505i | \(-0.107556\pi\) |
−0.935815 | + | 0.352492i | \(0.885334\pi\) | |||||||
\(762\) | 30.1371 | + | 0.991298i | 1.09175 | + | 0.0359110i | ||||
\(763\) | 14.7056 | − | 21.0017i | 0.532378 | − | 0.760314i | ||||
\(764\) | −0.418993 | − | 0.725717i | −0.0151586 | − | 0.0262555i | ||||
\(765\) | 0.665149 | − | 37.9608i | 0.0240485 | − | 1.37248i | ||||
\(766\) | 0.0626486 | − | 0.108511i | 0.00226359 | − | 0.00392064i | ||||
\(767\) | −5.18999 | − | 11.1300i | −0.187400 | − | 0.401880i | ||||
\(768\) | −26.8594 | − | 10.7887i | −0.969206 | − | 0.389303i | ||||
\(769\) | 26.3803 | − | 31.4388i | 0.951298 | − | 1.13371i | −0.0396163 | − | 0.999215i | \(-0.512614\pi\) |
0.990914 | − | 0.134497i | \(-0.0429420\pi\) | |||||||
\(770\) | −2.66695 | + | 6.52346i | −0.0961101 | + | 0.235089i | ||||
\(771\) | −4.43549 | − | 10.3908i | −0.159740 | − | 0.374216i | ||||
\(772\) | 6.18879 | − | 2.88588i | 0.222739 | − | 0.103865i | ||||
\(773\) | 8.41362 | + | 31.4000i | 0.302617 | + | 1.12938i | 0.934977 | + | 0.354707i | \(0.115419\pi\) |
−0.632361 | + | 0.774674i | \(0.717914\pi\) | |||||||
\(774\) | 6.04172 | + | 4.03968i | 0.217165 | + | 0.145203i | ||||
\(775\) | 49.3528 | + | 22.4621i | 1.77280 | + | 0.806863i | ||||
\(776\) | −35.7306 | + | 6.30026i | −1.28265 | + | 0.226166i | ||||
\(777\) | 1.18233 | − | 35.9449i | 0.0424160 | − | 1.28952i | ||||
\(778\) | 24.1159 | + | 11.2454i | 0.864598 | + | 0.403169i | ||||
\(779\) | 2.76312 | − | 15.6704i | 0.0989990 | − | 0.561451i | ||||
\(780\) | 3.27668 | + | 2.66477i | 0.117324 | + | 0.0954141i | ||||
\(781\) | −2.61864 | + | 2.19730i | −0.0937023 | + | 0.0786256i | ||||
\(782\) | −18.0435 | − | 18.0435i | −0.645233 | − | 0.645233i | ||||
\(783\) | 3.08106 | + | 40.5213i | 0.110108 | + | 1.44811i | ||||
\(784\) | − | 1.90101i | − | 0.0678930i | ||||||
\(785\) | −5.85771 | − | 25.8579i | −0.209071 | − | 0.922907i | ||||
\(786\) | 6.79149 | − | 0.369722i | 0.242244 | − | 0.0131875i | ||||
\(787\) | 14.4949 | + | 20.7009i | 0.516689 | + | 0.737908i | 0.989701 | − | 0.143147i | \(-0.0457223\pi\) |
−0.473012 | + | 0.881056i | \(0.656833\pi\) | |||||||
\(788\) | 6.68386 | − | 14.3336i | 0.238103 | − | 0.510613i | ||||
\(789\) | −7.53931 | − | 2.28831i | −0.268407 | − | 0.0814661i | ||||
\(790\) | 8.38637 | + | 2.60178i | 0.298374 | + | 0.0925672i | ||||
\(791\) | −0.163514 | + | 0.0944047i | −0.00581388 | + | 0.00335665i | ||||
\(792\) | 0.204330 | + | 9.50038i | 0.00726056 | + | 0.337581i | ||||
\(793\) | −4.29541 | + | 1.15095i | −0.152535 | + | 0.0408715i | ||||
\(794\) | −25.7442 | − | 9.37011i | −0.913626 | − | 0.332533i | ||||
\(795\) | −1.20460 | − | 6.26713i | −0.0427229 | − | 0.222272i | ||||
\(796\) | −0.725290 | − | 0.608590i | −0.0257072 | − | 0.0215709i | ||||
\(797\) | 0.523838 | + | 5.98749i | 0.0185553 | + | 0.212088i | 0.999812 | + | 0.0193834i | \(0.00617032\pi\) |
−0.981257 | + | 0.192704i | \(0.938274\pi\) | |||||||
\(798\) | −22.5624 | + | 3.21755i | −0.798700 | + | 0.113900i | ||||
\(799\) | −0.705844 | + | 1.93929i | −0.0249710 | + | 0.0686072i | ||||
\(800\) | −14.9959 | + | 18.2097i | −0.530186 | + | 0.643811i | ||||
\(801\) | −8.91535 | − | 3.92617i | −0.315008 | − | 0.138724i | ||||
\(802\) | 34.0906 | + | 9.13456i | 1.20378 | + | 0.322553i | ||||
\(803\) | 11.7666 | + | 8.23907i | 0.415235 | + | 0.290750i | ||||
\(804\) | −0.891452 | + | 0.207711i | −0.0314391 | + | 0.00732539i | ||||
\(805\) | −17.3113 | − | 22.3466i | −0.610144 | − | 0.787613i | ||||
\(806\) | −13.0828 | − | 2.30686i | −0.460824 | − | 0.0812556i | ||||
\(807\) | 12.6470 | − | 4.13760i | 0.445196 | − | 0.145651i | ||||
\(808\) | 0.810165 | + | 0.0708802i | 0.0285015 | + | 0.00249356i | ||||
\(809\) | 0.987575 | 0.0347213 | 0.0173607 | − | 0.999849i | \(-0.494474\pi\) | ||||
0.0173607 | + | 0.999849i | \(0.494474\pi\) | |||||||
\(810\) | 5.48426 | + | 20.1461i | 0.192697 | + | 0.707863i | ||||
\(811\) | −7.20371 | −0.252957 | −0.126478 | − | 0.991969i | \(-0.540367\pi\) | ||||
−0.126478 | + | 0.991969i | \(0.540367\pi\) | |||||||
\(812\) | −20.9329 | − | 1.83139i | −0.734601 | − | 0.0642692i | ||||
\(813\) | 31.0258 | − | 10.1504i | 1.08812 | − | 0.355990i | ||||
\(814\) | 7.61579 | + | 1.34287i | 0.266933 | + | 0.0470675i | ||||
\(815\) | −31.7380 | − | 4.02966i | −1.11173 | − | 0.141153i | ||||
\(816\) | −12.4093 | + | 2.89140i | −0.434412 | + | 0.101219i | ||||
\(817\) | 8.33907 | + | 5.83908i | 0.291747 | + | 0.204284i | ||||
\(818\) | −33.6856 | − | 9.02602i | −1.17779 | − | 0.315587i | ||||
\(819\) | 1.11858 | + | 10.2433i | 0.0390865 | + | 0.357929i | ||||
\(820\) | 1.59752 | − | 7.36646i | 0.0557879 | − | 0.257248i | ||||
\(821\) | −3.24048 | + | 8.90315i | −0.113094 | + | 0.310722i | −0.983307 | − | 0.181952i | \(-0.941758\pi\) |
0.870214 | + | 0.492674i | \(0.163981\pi\) | |||||||
\(822\) | −38.4734 | + | 5.48657i | −1.34191 | + | 0.191366i | ||||
\(823\) | −3.23116 | − | 36.9323i | −0.112631 | − | 1.28738i | −0.816623 | − | 0.577172i | \(-0.804156\pi\) |
0.703992 | − | 0.710208i | \(-0.251399\pi\) | |||||||
\(824\) | −29.4986 | − | 24.7523i | −1.02763 | − | 0.862287i | ||||
\(825\) | 8.67770 | + | 2.54672i | 0.302119 | + | 0.0886653i | ||||
\(826\) | 29.4986 | + | 10.7366i | 1.02639 | + | 0.373574i | ||||
\(827\) | 28.1808 | − | 7.55103i | 0.979943 | − | 0.262575i | 0.266923 | − | 0.963718i | \(-0.413993\pi\) |
0.713021 | + | 0.701143i | \(0.247327\pi\) | |||||||
\(828\) | −10.5547 | − | 5.79477i | −0.366800 | − | 0.201382i | ||||
\(829\) | 16.9573 | − | 9.79032i | 0.588952 | − | 0.340032i | −0.175731 | − | 0.984438i | \(-0.556229\pi\) |
0.764683 | + | 0.644407i | \(0.222896\pi\) | |||||||
\(830\) | −5.16230 | − | 9.80608i | −0.179186 | − | 0.340374i | ||||
\(831\) | 16.3947 | + | 4.97607i | 0.568725 | + | 0.172618i | ||||
\(832\) | 3.73962 | − | 8.01964i | 0.129648 | − | 0.278031i | ||||
\(833\) | 4.74788 | + | 6.78067i | 0.164504 | + | 0.234936i | ||||
\(834\) | 20.0818 | − | 1.09323i | 0.695375 | − | 0.0378556i | ||||
\(835\) | −46.3422 | + | 10.4981i | −1.60374 | + | 0.363303i | ||||
\(836\) | 4.20488i | 0.145429i | ||||||||
\(837\) | 39.3904 | + | 40.2971i | 1.36153 | + | 1.39287i | ||||
\(838\) | −22.6830 | − | 22.6830i | −0.783572 | − | 0.783572i | ||||
\(839\) | 1.00064 | − | 0.839639i | 0.0345460 | − | 0.0289876i | −0.625351 | − | 0.780343i | \(-0.715044\pi\) |
0.659897 | + | 0.751356i | \(0.270600\pi\) | |||||||
\(840\) | −33.9946 | + | 3.50108i | −1.17293 | + | 0.120799i | ||||
\(841\) | 5.58546 | − | 31.6767i | 0.192602 | − | 1.09230i | ||||
\(842\) | 13.7916 | + | 6.43113i | 0.475290 | + | 0.221631i | ||||
\(843\) | −0.268443 | + | 8.16111i | −0.00924567 | + | 0.281084i | ||||
\(844\) | 8.90859 | − | 1.57082i | 0.306646 | − | 0.0540700i | ||||
\(845\) | 17.4443 | − | 19.2142i | 0.600103 | − | 0.660988i | ||||
\(846\) | 0.0745820 | − | 1.13248i | 0.00256418 | − | 0.0389355i | ||||
\(847\) | −7.46102 | − | 27.8449i | −0.256364 | − | 0.956762i | ||||
\(848\) | −1.94110 | + | 0.905149i | −0.0666576 | + | 0.0310830i | ||||
\(849\) | 0.0101749 | + | 0.0238362i | 0.000349202 | + | 0.000818057i | ||||
\(850\) | −2.28918 | + | 29.2705i | −0.0785182 | + | 1.00397i | ||||
\(851\) | −19.9379 | + | 23.7611i | −0.683463 | + | 0.814519i | ||||
\(852\) | −4.85925 | − | 1.95182i | −0.166475 | − | 0.0668684i | ||||
\(853\) | −0.525925 | − | 1.12785i | −0.0180073 | − | 0.0386168i | 0.897098 | − | 0.441831i | \(-0.145671\pi\) |
−0.915106 | + | 0.403214i | \(0.867893\pi\) | |||||||
\(854\) | 5.68367 | − | 9.84440i | 0.194491 | − | 0.336869i | ||||
\(855\) | 7.07330 | + | 28.3776i | 0.241902 | + | 0.970492i | ||||
\(856\) | 10.7998 | + | 18.7059i | 0.369131 | + | 0.639353i | ||||
\(857\) | 3.01178 | − | 4.30127i | 0.102880 | − | 0.146928i | −0.764411 | − | 0.644729i | \(-0.776970\pi\) |
0.867291 | + | 0.497801i | \(0.165859\pi\) | |||||||
\(858\) | −2.21447 | − | 0.0728405i | −0.0756008 | − | 0.00248673i | ||||
\(859\) | 17.5440 | + | 48.2017i | 0.598593 | + | 1.64462i | 0.754079 | + | 0.656783i | \(0.228083\pi\) |
−0.155486 | + | 0.987838i | \(0.549694\pi\) | |||||||
\(860\) | 3.83935 | + | 2.91802i | 0.130921 | + | 0.0995037i | ||||
\(861\) | 15.4029 | − | 10.0472i | 0.524929 | − | 0.342407i | ||||
\(862\) | −2.74226 | + | 31.3442i | −0.0934018 | + | 1.06759i | ||||
\(863\) | −4.17796 | + | 4.17796i | −0.142219 | + | 0.142219i | −0.774632 | − | 0.632412i | \(-0.782065\pi\) |
0.632412 | + | 0.774632i | \(0.282065\pi\) | |||||||
\(864\) | −21.3688 | + | 12.0152i | −0.726980 | + | 0.408766i | ||||
\(865\) | 8.68117 | − | 16.8657i | 0.295169 | − | 0.573451i | ||||
\(866\) | −5.04741 | − | 6.01526i | −0.171518 | − | 0.204407i | ||||
\(867\) | 17.3830 | − | 19.3846i | 0.590358 | − | 0.658336i | ||||
\(868\) | −23.8681 | + | 16.7126i | −0.810137 | + | 0.567264i | ||||
\(869\) | 3.71412 | − | 1.35183i | 0.125993 | − | 0.0458577i | ||||
\(870\) | −0.482710 | − | 31.4221i | −0.0163654 | − | 1.06531i | ||||
\(871\) | −0.117313 | − | 0.665317i | −0.00397501 | − | 0.0225434i | ||||
\(872\) | −6.91897 | + | 25.8219i | −0.234306 | + | 0.874442i | ||||
\(873\) | −17.2698 | + | 31.4554i | −0.584494 | + | 1.06460i | ||||
\(874\) | 17.0227 | + | 9.82804i | 0.575800 | + | 0.332438i | ||||
\(875\) | −6.59982 | + | 31.8475i | −0.223115 | + | 1.07664i | ||||
\(876\) | −2.63745 | + | 21.8460i | −0.0891110 | + | 0.738108i | ||||
\(877\) | −50.0397 | + | 4.37791i | −1.68972 | + | 0.147832i | −0.891041 | − | 0.453923i | \(-0.850024\pi\) |
−0.798681 | + | 0.601754i | \(0.794469\pi\) | |||||||
\(878\) | 10.2641 | − | 0.897992i | 0.346397 | − | 0.0303058i | ||||
\(879\) | −31.7659 | − | 23.8366i | −1.07144 | − | 0.803989i | ||||
\(880\) | 0.118412 | − | 3.03277i | 0.00399168 | − | 0.102235i | ||||
\(881\) | −11.9474 | − | 6.89781i | −0.402517 | − | 0.232393i | 0.285053 | − | 0.958512i | \(-0.407989\pi\) |
−0.687569 | + | 0.726119i | \(0.741322\pi\) | |||||||
\(882\) | −3.54930 | − | 2.85044i | −0.119511 | − | 0.0959793i | ||||
\(883\) | −6.38476 | + | 23.8282i | −0.214864 | + | 0.801884i | 0.771350 | + | 0.636411i | \(0.219582\pi\) |
−0.986214 | + | 0.165473i | \(0.947085\pi\) | |||||||
\(884\) | 1.07174 | + | 6.07813i | 0.0360465 | + | 0.204430i | ||||
\(885\) | 9.82712 | − | 39.0660i | 0.330335 | − | 1.31319i | ||||
\(886\) | −9.03886 | + | 3.28987i | −0.303666 | + | 0.110526i | ||||
\(887\) | 37.9805 | − | 26.5942i | 1.27526 | − | 0.892946i | 0.277558 | − | 0.960709i | \(-0.410475\pi\) |
0.997701 | + | 0.0677631i | \(0.0215862\pi\) | |||||||
\(888\) | 11.6602 | + | 35.6407i | 0.391291 | + | 1.19602i | ||||
\(889\) | 31.3766 | + | 37.3932i | 1.05234 | + | 1.25413i | ||||
\(890\) | 6.69801 | + | 3.44762i | 0.224518 | + | 0.115565i | ||||
\(891\) | 7.45274 | + | 5.72609i | 0.249676 | + | 0.191831i | ||||
\(892\) | 6.40212 | − | 6.40212i | 0.214359 | − | 0.214359i | ||||
\(893\) | 0.138553 | − | 1.58366i | 0.00463649 | − | 0.0529953i | ||||
\(894\) | 21.1890 | + | 10.7423i | 0.708667 | + | 0.359278i | ||||
\(895\) | 4.05572 | + | 29.7462i | 0.135568 | + | 0.994306i | ||||
\(896\) | −1.65203 | − | 4.53891i | −0.0551904 | − | 0.151634i | ||||
\(897\) | 4.69410 | − | 7.54610i | 0.156731 | − | 0.251957i | ||||
\(898\) | 17.9463 | − | 25.6299i | 0.598874 | − | 0.855281i | ||||
\(899\) | −42.4077 | − | 73.4522i | −1.41438 | − | 2.44977i | ||||
\(900\) | 2.82366 | + | 13.5631i | 0.0941220 | + | 0.452104i | ||||
\(901\) | 4.66302 | − | 8.07658i | 0.155348 | − | 0.269070i | ||||
\(902\) | 1.67118 | + | 3.58386i | 0.0556442 | + | 0.119329i | ||||
\(903\) | 1.66102 | + | 11.6476i | 0.0552754 | + | 0.387607i | ||||
\(904\) | 0.126545 | − | 0.150811i | 0.00420883 | − | 0.00501589i | ||||
\(905\) | −41.2743 | − | 16.8739i | −1.37200 | − | 0.560909i | ||||
\(906\) | −21.7104 | − | 2.62108i | −0.721280 | − | 0.0870794i | ||||
\(907\) | 12.3092 | − | 5.73988i | 0.408721 | − | 0.190590i | −0.207374 | − | 0.978262i | \(-0.566492\pi\) |
0.616095 | + | 0.787672i | \(0.288714\pi\) | |||||||
\(908\) | −4.09378 | − | 15.2782i | −0.135857 | − | 0.507024i | ||||
\(909\) | 0.556400 | − | 0.580860i | 0.0184546 | − | 0.0192659i | ||||
\(910\) | −0.384257 | − | 7.95902i | −0.0127380 | − | 0.263839i | ||||
\(911\) | −26.4310 | + | 4.66050i | −0.875698 | + | 0.154409i | −0.593391 | − | 0.804915i | \(-0.702211\pi\) |
−0.282308 | + | 0.959324i | \(0.591100\pi\) | |||||||
\(912\) | 8.65675 | − | 4.62539i | 0.286654 | − | 0.153162i | ||||
\(913\) | −4.52098 | − | 2.10817i | −0.149623 | − | 0.0697701i | ||||
\(914\) | −5.46005 | + | 30.9655i | −0.180602 | + | 1.02425i | ||||
\(915\) | −13.3134 | − | 5.96093i | −0.440129 | − | 0.197062i | ||||
\(916\) | 12.9407 | − | 10.8585i | 0.427573 | − | 0.358776i | ||||
\(917\) | 7.78565 | + | 7.78565i | 0.257105 | + | 0.257105i | ||||
\(918\) | −13.2085 | + | 27.5044i | −0.435947 | + | 0.907782i | ||||
\(919\) | 29.6273i | 0.977314i | 0.872476 | + | 0.488657i | \(0.162513\pi\) | ||||
−0.872476 | + | 0.488657i | \(0.837487\pi\) | |||||||
\(920\) | 24.9310 | + | 15.7217i | 0.821950 | + | 0.518330i | ||||
\(921\) | −25.8143 | − | 39.5749i | −0.850611 | − | 1.30404i | ||||
\(922\) | −7.73552 | − | 11.0475i | −0.254756 | − | 0.363829i | ||||
\(923\) | 1.63341 | − | 3.50287i | 0.0537645 | − | 0.115298i | ||||
\(924\) | −3.54743 | + | 3.32149i | −0.116702 | + | 0.109269i | ||||
\(925\) | 35.6872 | − | 0.328957i | 1.17339 | − | 0.0108160i | ||||
\(926\) | −24.6870 | + | 14.2531i | −0.811267 | + | 0.468385i | ||||
\(927\) | −37.3564 | + | 7.41852i | −1.22695 | + | 0.243656i | ||||
\(928\) | 35.6409 | − | 9.54994i | 1.16997 | − | 0.313492i | ||||
\(929\) | 52.3804 | + | 19.0649i | 1.71854 | + | 0.625499i | 0.997712 | − | 0.0676108i | \(-0.0215376\pi\) |
0.720832 | + | 0.693110i | \(0.243760\pi\) | |||||||
\(930\) | −28.5201 | − | 32.9476i | −0.935210 | − | 1.08039i | ||||
\(931\) | −4.88454 | − | 4.09862i | −0.160084 | − | 0.134327i | ||||
\(932\) | 0.397168 | + | 4.53965i | 0.0130097 | + | 0.148701i | ||||
\(933\) | 20.4749 | − | 50.9742i | 0.670318 | − | 1.66882i | ||||
\(934\) | −10.6526 | + | 29.2678i | −0.348564 | + | 0.957673i | ||||
\(935\) | 7.15218 | + | 11.1133i | 0.233901 | + | 0.363444i | ||||
\(936\) | −4.74896 | − | 9.63752i | −0.155225 | − | 0.315012i | ||||
\(937\) | 13.0469 | + | 3.49591i | 0.426224 | + | 0.114206i | 0.465553 | − | 0.885020i | \(-0.345855\pi\) |
−0.0393290 | + | 0.999226i | \(0.512522\pi\) | |||||||
\(938\) | 1.41462 | + | 0.990526i | 0.0461889 | + | 0.0323418i | ||||
\(939\) | 13.5528 | + | 14.4747i | 0.442279 | + | 0.472364i | ||||
\(940\) | 0.0948517 | − | 0.747060i | 0.00309372 | − | 0.0243664i | ||||
\(941\) | 14.9533 | + | 2.63667i | 0.487463 | + | 0.0859529i | 0.411977 | − | 0.911194i | \(-0.364838\pi\) |
0.0754855 | + | 0.997147i | \(0.475949\pi\) | |||||||
\(942\) | −4.38776 | + | 20.8504i | −0.142961 | + | 0.679341i | ||||
\(943\) | −15.8004 | − | 1.38235i | −0.514531 | − | 0.0450157i | ||||
\(944\) | −13.5191 | −0.440009 | ||||||||
\(945\) | −18.3533 | + | 28.3831i | −0.597032 | + | 0.923303i | ||||
\(946\) | −2.52987 | −0.0822533 | ||||||||
\(947\) | 5.42282 | + | 0.474435i | 0.176218 | + | 0.0154171i | 0.174923 | − | 0.984582i | \(-0.444032\pi\) |
0.00129474 | + | 0.999999i | \(0.499588\pi\) | |||||||
\(948\) | 4.50777 | + | 4.04231i | 0.146406 | + | 0.131288i | ||||
\(949\) | −15.9943 | − | 2.82022i | −0.519196 | − | 0.0915483i | ||||
\(950\) | −4.13235 | − | 22.2352i | −0.134071 | − | 0.721406i | ||||
\(951\) | −6.29665 | + | 20.7456i | −0.204183 | + | 0.672722i | ||||
\(952\) | −40.9087 | − | 28.6446i | −1.32586 | − | 0.928377i | ||||
\(953\) | 45.1915 | + | 12.1090i | 1.46390 | + | 0.392250i | 0.900834 | − | 0.434164i | \(-0.142956\pi\) |
0.563063 | + | 0.826414i | \(0.309623\pi\) | |||||||
\(954\) | −1.22058 | + | 4.98137i | −0.0395179 | + | 0.161278i | ||||
\(955\) | 1.98272 | + | 0.429980i | 0.0641592 | + | 0.0139138i | ||||
\(956\) | −1.90807 | + | 5.24239i | −0.0617115 | + | 0.169551i | ||||
\(957\) | −8.73160 | − | 11.1294i | −0.282253 | − | 0.359763i | ||||
\(958\) | −0.945161 | − | 10.8032i | −0.0305367 | − | 0.349037i | ||||
\(959\) | −48.1935 | − | 40.4392i | −1.55625 | − | 1.30585i | ||||
\(960\) | 26.1147 | − | 12.6694i | 0.842850 | − | 0.408904i | ||||
\(961\) | −81.3865 | − | 29.6223i | −2.62537 | − | 0.955557i | ||||
\(962\) | −8.44566 | + | 2.26301i | −0.272299 | + | 0.0729623i | ||||
\(963\) | 21.1134 | + | 3.25641i | 0.680370 | + | 0.104936i | ||||
\(964\) | 13.7580 | − | 7.94318i | 0.443115 | − | 0.255832i | ||||
\(965\) | −4.89864 | + | 15.7899i | −0.157693 | + | 0.508294i | ||||
\(966\) | 5.15504 | + | 22.1244i | 0.165861 | + | 0.711840i | ||||
\(967\) | 10.4693 | − | 22.4516i | 0.336671 | − | 0.721994i | −0.662974 | − | 0.748643i | \(-0.730706\pi\) |
0.999645 | + | 0.0266490i | \(0.00848366\pi\) | |||||||
\(968\) | 17.2404 | + | 24.6219i | 0.554128 | + | 0.791377i | ||||
\(969\) | −19.3255 | + | 38.1190i | −0.620823 | + | 1.22456i | ||||
\(970\) | 14.8018 | − | 23.4722i | 0.475258 | − | 0.753648i | ||||
\(971\) | 39.1684i | 1.25697i | 0.777821 | + | 0.628486i | \(0.216325\pi\) | ||||
−0.777821 | + | 0.628486i | \(0.783675\pi\) | |||||||
\(972\) | −2.35637 | + | 14.2033i | −0.0755805 | + | 0.455570i | ||||
\(973\) | 23.0214 | + | 23.0214i | 0.738033 | + | 0.738033i | ||||
\(974\) | 15.4188 | − | 12.9379i | 0.494050 | − | 0.414557i | ||||
\(975\) | −10.1091 | + | 1.53682i | −0.323749 | + | 0.0492178i | ||||
\(976\) | −0.850083 | + | 4.82106i | −0.0272105 | + | 0.154318i | ||||
\(977\) | −27.2371 | − | 12.7009i | −0.871393 | − | 0.406337i | −0.0651176 | − | 0.997878i | \(-0.520742\pi\) |
−0.806275 | + | 0.591540i | \(0.798520\pi\) | |||||||
\(978\) | 21.8315 | + | 13.5804i | 0.698095 | + | 0.434255i | ||||
\(979\) | 3.33945 | − | 0.588834i | 0.106729 | − | 0.0188192i | ||||
\(980\) | −2.23633 | − | 2.03034i | −0.0714369 | − | 0.0648567i | ||||
\(981\) | 15.6276 | + | 21.3273i | 0.498950 | + | 0.680928i | ||||
\(982\) | −11.2391 | − | 41.9450i | −0.358655 | − | 1.33852i | ||||
\(983\) | 53.0117 | − | 24.7198i | 1.69081 | − | 0.788438i | 0.693098 | − | 0.720844i | \(-0.256245\pi\) |
0.997713 | − | 0.0675941i | \(-0.0215323\pi\) | |||||||
\(984\) | −11.5088 | + | 15.3373i | −0.366888 | + | 0.488934i | ||||
\(985\) | 14.8157 | + | 35.3072i | 0.472069 | + | 1.12498i | ||||
\(986\) | 29.5192 | − | 35.1796i | 0.940082 | − | 1.12035i | ||||
\(987\) | 1.44549 | − | 1.13407i | 0.0460106 | − | 0.0360977i | ||||
\(988\) | −2.00922 | − | 4.30879i | −0.0639219 | − | 0.137081i | ||||
\(989\) | 5.07361 | − | 8.78776i | 0.161332 | − | 0.279434i | ||||
\(990\) | −5.48484 | − | 4.76854i | −0.174320 | − | 0.151554i | ||||
\(991\) | −6.16723 | − | 10.6820i | −0.195909 | − | 0.339324i | 0.751289 | − | 0.659973i | \(-0.229432\pi\) |
−0.947198 | + | 0.320649i | \(0.896099\pi\) | |||||||
\(992\) | 29.3471 | − | 41.9119i | 0.931770 | − | 1.33071i | ||||
\(993\) | −20.6319 | − | 38.6140i | −0.654733 | − | 1.22538i | ||||
\(994\) | 3.37907 | + | 9.28392i | 0.107178 | + | 0.294468i | ||||
\(995\) | 2.27123 | − | 0.309669i | 0.0720029 | − | 0.00981716i | ||||
\(996\) | −0.415386 | − | 7.63029i | −0.0131620 | − | 0.241775i | ||||
\(997\) | 2.51324 | − | 28.7265i | 0.0795952 | − | 0.909777i | −0.846476 | − | 0.532427i | \(-0.821280\pi\) |
0.926071 | − | 0.377350i | \(-0.123165\pi\) | |||||||
\(998\) | 19.4082 | − | 19.4082i | 0.614355 | − | 0.614355i | ||||
\(999\) | 34.7055 | + | 13.0808i | 1.09803 | + | 0.413858i |
(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 | 135.2.q.a.113.6 | yes | 192 | |
3.2 | odd | 2 | 405.2.r.a.368.11 | 192 | |||
5.2 | odd | 4 | inner | 135.2.q.a.32.11 | ✓ | 192 | |
5.3 | odd | 4 | 675.2.ba.b.32.6 | 192 | |||
5.4 | even | 2 | 675.2.ba.b.518.11 | 192 | |||
15.2 | even | 4 | 405.2.r.a.287.6 | 192 | |||
27.11 | odd | 18 | inner | 135.2.q.a.38.11 | yes | 192 | |
27.16 | even | 9 | 405.2.r.a.278.6 | 192 | |||
135.38 | even | 36 | 675.2.ba.b.632.11 | 192 | |||
135.92 | even | 36 | inner | 135.2.q.a.92.6 | yes | 192 | |
135.97 | odd | 36 | 405.2.r.a.197.11 | 192 | |||
135.119 | odd | 18 | 675.2.ba.b.443.6 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.32.11 | ✓ | 192 | 5.2 | odd | 4 | inner | |
135.2.q.a.38.11 | yes | 192 | 27.11 | odd | 18 | inner | |
135.2.q.a.92.6 | yes | 192 | 135.92 | even | 36 | inner | |
135.2.q.a.113.6 | yes | 192 | 1.1 | even | 1 | trivial | |
405.2.r.a.197.11 | 192 | 135.97 | odd | 36 | |||
405.2.r.a.278.6 | 192 | 27.16 | even | 9 | |||
405.2.r.a.287.6 | 192 | 15.2 | even | 4 | |||
405.2.r.a.368.11 | 192 | 3.2 | odd | 2 | |||
675.2.ba.b.32.6 | 192 | 5.3 | odd | 4 | |||
675.2.ba.b.443.6 | 192 | 135.119 | odd | 18 | |||
675.2.ba.b.518.11 | 192 | 5.4 | even | 2 | |||
675.2.ba.b.632.11 | 192 | 135.38 | even | 36 |