Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(21,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.q (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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 21.6 | ||
Character | \(\chi\) | \(=\) | 418.21 |
Dual form | 418.2.q.b.219.6 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | − | 0.984808i | 0.122788 | − | 0.696364i | ||||
\(3\) | 0.0268646 | − | 0.0320160i | 0.0155103 | − | 0.0184844i | −0.758234 | − | 0.651983i | \(-0.773937\pi\) |
0.773744 | + | 0.633499i | \(0.218382\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | −0.843173 | + | 0.306890i | −0.377079 | + | 0.137245i | −0.523605 | − | 0.851961i | \(-0.675413\pi\) |
0.146526 | + | 0.989207i | \(0.453191\pi\) | |||||||
\(6\) | −0.0268646 | − | 0.0320160i | −0.0109674 | − | 0.0130705i | ||||
\(7\) | −2.35018 | + | 1.35688i | −0.888284 | + | 0.512851i | −0.873381 | − | 0.487038i | \(-0.838077\pi\) |
−0.0149032 | + | 0.999889i | \(0.504744\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 0.520641 | + | 2.95270i | 0.173547 | + | 0.984234i | ||||
\(10\) | 0.155812 | + | 0.883655i | 0.0492721 | + | 0.279436i | ||||
\(11\) | −1.82993 | + | 2.76611i | −0.551746 | + | 0.834012i | ||||
\(12\) | −0.0361945 | + | 0.0208969i | −0.0104485 | + | 0.00603242i | ||||
\(13\) | −1.74073 | + | 1.46065i | −0.482793 | + | 0.405111i | −0.851435 | − | 0.524460i | \(-0.824267\pi\) |
0.368642 | + | 0.929571i | \(0.379823\pi\) | |||||||
\(14\) | 0.928158 | + | 2.55009i | 0.248061 | + | 0.681541i | ||||
\(15\) | −0.0128261 | + | 0.0352395i | −0.00331169 | + | 0.00909879i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −4.35271 | − | 0.767500i | −1.05569 | − | 0.186146i | −0.381245 | − | 0.924474i | \(-0.624505\pi\) |
−0.674442 | + | 0.738328i | \(0.735616\pi\) | |||||||
\(18\) | 2.99825 | 0.706695 | ||||||||
\(19\) | 2.41240 | − | 3.63047i | 0.553443 | − | 0.832887i | ||||
\(20\) | 0.897286 | 0.200639 | ||||||||
\(21\) | −0.0196949 | + | 0.111695i | −0.00429777 | + | 0.0243739i | ||||
\(22\) | 2.40632 | + | 2.28246i | 0.513029 | + | 0.486623i | ||||
\(23\) | 7.94098 | + | 2.89028i | 1.65581 | + | 0.602665i | 0.989696 | − | 0.143185i | \(-0.0457343\pi\) |
0.666114 | + | 0.745850i | \(0.267957\pi\) | |||||||
\(24\) | 0.0142943 | + | 0.0392734i | 0.00291782 | + | 0.00801665i | ||||
\(25\) | −3.21346 | + | 2.69642i | −0.642692 | + | 0.539283i | ||||
\(26\) | 1.13618 | + | 1.96793i | 0.222824 | + | 0.385942i | ||||
\(27\) | 0.217104 | + | 0.125345i | 0.0417817 | + | 0.0241227i | ||||
\(28\) | 2.67252 | − | 0.471238i | 0.505060 | − | 0.0890556i | ||||
\(29\) | −0.228566 | − | 1.29626i | −0.0424436 | − | 0.240710i | 0.956204 | − | 0.292701i | \(-0.0945542\pi\) |
−0.998648 | + | 0.0519917i | \(0.983443\pi\) | |||||||
\(30\) | 0.0324769 | + | 0.0187505i | 0.00592944 | + | 0.00342336i | ||||
\(31\) | −4.92457 | + | 2.84320i | −0.884478 | + | 0.510654i | −0.872132 | − | 0.489270i | \(-0.837263\pi\) |
−0.0123459 | + | 0.999924i | \(0.503930\pi\) | |||||||
\(32\) | 0.766044 | − | 0.642788i | 0.135419 | − | 0.113630i | ||||
\(33\) | 0.0393991 | + | 0.132897i | 0.00685851 | + | 0.0231345i | ||||
\(34\) | −1.51168 | + | 4.15331i | −0.259251 | + | 0.712286i | ||||
\(35\) | 1.56520 | − | 1.86533i | 0.264566 | − | 0.315298i | ||||
\(36\) | 0.520641 | − | 2.95270i | 0.0867735 | − | 0.492117i | ||||
\(37\) | − | 3.73539i | − | 0.614094i | −0.951694 | − | 0.307047i | \(-0.900659\pi\) | ||
0.951694 | − | 0.307047i | \(-0.0993408\pi\) | |||||||
\(38\) | −3.15640 | − | 3.00618i | −0.512036 | − | 0.487667i | ||||
\(39\) | 0.0949710i | 0.0152075i | ||||||||
\(40\) | 0.155812 | − | 0.883655i | 0.0246361 | − | 0.139718i | ||||
\(41\) | −5.23763 | − | 4.39489i | −0.817980 | − | 0.686367i | 0.134518 | − | 0.990911i | \(-0.457051\pi\) |
−0.952498 | + | 0.304545i | \(0.901496\pi\) | |||||||
\(42\) | 0.106578 | + | 0.0387913i | 0.0164454 | + | 0.00598563i | ||||
\(43\) | 3.20971 | + | 8.81861i | 0.489476 | + | 1.34482i | 0.901155 | + | 0.433496i | \(0.142720\pi\) |
−0.411679 | + | 0.911329i | \(0.635058\pi\) | |||||||
\(44\) | 2.66564 | − | 1.97342i | 0.401860 | − | 0.297504i | ||||
\(45\) | −1.34515 | − | 2.32986i | −0.200523 | − | 0.347315i | ||||
\(46\) | 4.22531 | − | 7.31845i | 0.622988 | − | 1.07905i | ||||
\(47\) | 0.547427 | + | 3.10461i | 0.0798504 | + | 0.452854i | 0.998349 | + | 0.0574310i | \(0.0182909\pi\) |
−0.918499 | + | 0.395423i | \(0.870598\pi\) | |||||||
\(48\) | 0.0411589 | − | 0.00725743i | 0.00594078 | − | 0.00104752i | ||||
\(49\) | 0.182227 | − | 0.315626i | 0.0260324 | − | 0.0450894i | ||||
\(50\) | 2.09744 | + | 3.63287i | 0.296623 | + | 0.513765i | ||||
\(51\) | −0.141506 | + | 0.118738i | −0.0198148 | + | 0.0166266i | ||||
\(52\) | 2.13533 | − | 0.777195i | 0.296117 | − | 0.107778i | ||||
\(53\) | 2.08830 | − | 5.73755i | 0.286850 | − | 0.788113i | −0.709653 | − | 0.704552i | \(-0.751148\pi\) |
0.996503 | − | 0.0835617i | \(-0.0266296\pi\) | |||||||
\(54\) | 0.161141 | − | 0.192040i | 0.0219284 | − | 0.0261333i | ||||
\(55\) | 0.694061 | − | 2.89390i | 0.0935871 | − | 0.390213i | ||||
\(56\) | − | 2.71375i | − | 0.362640i | ||||||
\(57\) | −0.0514247 | − | 0.174766i | −0.00681137 | − | 0.0231484i | ||||
\(58\) | −1.31626 | −0.172833 | ||||||||
\(59\) | −3.52865 | − | 0.622197i | −0.459391 | − | 0.0810031i | −0.0608369 | − | 0.998148i | \(-0.519377\pi\) |
−0.398555 | + | 0.917145i | \(0.630488\pi\) | |||||||
\(60\) | 0.0241052 | − | 0.0287275i | 0.00311197 | − | 0.00370870i | ||||
\(61\) | −4.68333 | + | 12.8673i | −0.599639 | + | 1.64749i | 0.152356 | + | 0.988326i | \(0.451314\pi\) |
−0.751995 | + | 0.659169i | \(0.770908\pi\) | |||||||
\(62\) | 1.94486 | + | 5.34347i | 0.246998 | + | 0.678621i | ||||
\(63\) | −5.23005 | − | 6.23293i | −0.658925 | − | 0.785276i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 1.01948 | − | 1.76579i | 0.126451 | − | 0.219020i | ||||
\(66\) | 0.137720 | − | 0.0157232i | 0.0169521 | − | 0.00193539i | ||||
\(67\) | 10.1808 | − | 1.79514i | 1.24378 | − | 0.219312i | 0.487244 | − | 0.873266i | \(-0.338002\pi\) |
0.756534 | + | 0.653954i | \(0.226891\pi\) | |||||||
\(68\) | 3.82771 | + | 2.20993i | 0.464178 | + | 0.267993i | ||||
\(69\) | 0.305866 | − | 0.176592i | 0.0368220 | − | 0.0212592i | ||||
\(70\) | −1.56520 | − | 1.86533i | −0.187077 | − | 0.222949i | ||||
\(71\) | −3.82341 | − | 10.5047i | −0.453755 | − | 1.24668i | −0.930062 | − | 0.367402i | \(-0.880247\pi\) |
0.476307 | − | 0.879279i | \(-0.341975\pi\) | |||||||
\(72\) | −2.81744 | − | 1.02546i | −0.332038 | − | 0.120852i | ||||
\(73\) | 3.20646 | − | 3.82131i | 0.375288 | − | 0.447251i | −0.545033 | − | 0.838414i | \(-0.683483\pi\) |
0.920321 | + | 0.391164i | \(0.127927\pi\) | |||||||
\(74\) | −3.67864 | − | 0.648643i | −0.427633 | − | 0.0754032i | ||||
\(75\) | 0.175320i | 0.0202442i | ||||||||
\(76\) | −3.50861 | + | 2.58643i | −0.402465 | + | 0.296684i | ||||
\(77\) | 0.547406 | − | 8.98384i | 0.0623827 | − | 1.02380i | ||||
\(78\) | 0.0935282 | + | 0.0164915i | 0.0105900 | + | 0.00186730i | ||||
\(79\) | −0.352076 | − | 0.295427i | −0.0396117 | − | 0.0332382i | 0.622767 | − | 0.782407i | \(-0.286009\pi\) |
−0.662379 | + | 0.749169i | \(0.730453\pi\) | |||||||
\(80\) | −0.843173 | − | 0.306890i | −0.0942696 | − | 0.0343113i | ||||
\(81\) | −8.44246 | + | 3.07281i | −0.938052 | + | 0.341423i | ||||
\(82\) | −5.23763 | + | 4.39489i | −0.578399 | + | 0.485334i | ||||
\(83\) | 3.56527 | − | 2.05841i | 0.391339 | − | 0.225940i | −0.291401 | − | 0.956601i | \(-0.594121\pi\) |
0.682740 | + | 0.730661i | \(0.260788\pi\) | |||||||
\(84\) | 0.0567091 | − | 0.0982230i | 0.00618747 | − | 0.0107170i | ||||
\(85\) | 3.90563 | − | 0.688667i | 0.423625 | − | 0.0746964i | ||||
\(86\) | 9.24199 | − | 1.62961i | 0.996590 | − | 0.175726i | ||||
\(87\) | −0.0476414 | − | 0.0275058i | −0.00510769 | − | 0.00294893i | ||||
\(88\) | −1.48055 | − | 2.96782i | −0.157827 | − | 0.316371i | ||||
\(89\) | 5.32414 | + | 6.34506i | 0.564358 | + | 0.672575i | 0.970463 | − | 0.241251i | \(-0.0775577\pi\) |
−0.406105 | + | 0.913826i | \(0.633113\pi\) | |||||||
\(90\) | −2.52805 | + | 0.920134i | −0.266480 | + | 0.0969906i | ||||
\(91\) | 2.10912 | − | 5.79475i | 0.221095 | − | 0.607455i | ||||
\(92\) | −6.47355 | − | 5.43195i | −0.674914 | − | 0.566320i | ||||
\(93\) | −0.0412686 | + | 0.234046i | −0.00427936 | + | 0.0242694i | ||||
\(94\) | 3.15251 | 0.325156 | ||||||||
\(95\) | −0.919920 | + | 3.80146i | −0.0943818 | + | 0.390021i | ||||
\(96\) | − | 0.0417939i | − | 0.00426557i | ||||||
\(97\) | 10.1556 | + | 1.79070i | 1.03114 | + | 0.181818i | 0.663522 | − | 0.748157i | \(-0.269061\pi\) |
0.367622 | + | 0.929976i | \(0.380172\pi\) | |||||||
\(98\) | −0.279188 | − | 0.234266i | −0.0282022 | − | 0.0236645i | ||||
\(99\) | −9.12023 | − | 3.96310i | −0.916618 | − | 0.398307i | ||||
\(100\) | 3.94190 | − | 1.43473i | 0.394190 | − | 0.143473i | ||||
\(101\) | −5.58046 | − | 6.65053i | −0.555277 | − | 0.661753i | 0.413263 | − | 0.910612i | \(-0.364389\pi\) |
−0.968540 | + | 0.248859i | \(0.919945\pi\) | |||||||
\(102\) | 0.0923614 | + | 0.159975i | 0.00914514 | + | 0.0158399i | ||||
\(103\) | −12.3964 | − | 7.15706i | −1.22145 | − | 0.705206i | −0.256226 | − | 0.966617i | \(-0.582479\pi\) |
−0.965228 | + | 0.261411i | \(0.915812\pi\) | |||||||
\(104\) | −0.394592 | − | 2.23785i | −0.0386930 | − | 0.219439i | ||||
\(105\) | −0.0176719 | − | 0.100223i | −0.00172460 | − | 0.00978072i | ||||
\(106\) | −5.28776 | − | 3.05289i | −0.513592 | − | 0.296523i | ||||
\(107\) | 9.34493 | + | 16.1859i | 0.903408 | + | 1.56475i | 0.823040 | + | 0.567984i | \(0.192276\pi\) |
0.0803686 | + | 0.996765i | \(0.474390\pi\) | |||||||
\(108\) | −0.161141 | − | 0.192040i | −0.0155058 | − | 0.0184790i | ||||
\(109\) | −16.1883 | + | 5.89205i | −1.55056 | + | 0.564356i | −0.968548 | − | 0.248827i | \(-0.919955\pi\) |
−0.582008 | + | 0.813183i | \(0.697733\pi\) | |||||||
\(110\) | −2.72941 | − | 1.18604i | −0.260239 | − | 0.113084i | ||||
\(111\) | −0.119592 | − | 0.100350i | −0.0113512 | − | 0.00952476i | ||||
\(112\) | −2.67252 | − | 0.471238i | −0.252530 | − | 0.0445278i | ||||
\(113\) | − | 7.84800i | − | 0.738278i | −0.929374 | − | 0.369139i | \(-0.879653\pi\) | ||
0.929374 | − | 0.369139i | \(-0.120347\pi\) | |||||||
\(114\) | −0.181041 | + | 0.0202956i | −0.0169561 | + | 0.00190086i | ||||
\(115\) | −7.58263 | −0.707083 | ||||||||
\(116\) | −0.228566 | + | 1.29626i | −0.0212218 | + | 0.120355i | ||||
\(117\) | −5.21916 | − | 4.37940i | −0.482512 | − | 0.404875i | ||||
\(118\) | −1.22549 | + | 3.36700i | −0.112815 | + | 0.309958i | ||||
\(119\) | 11.2710 | − | 4.10232i | 1.03322 | − | 0.376060i | ||||
\(120\) | −0.0241052 | − | 0.0287275i | −0.00220050 | − | 0.00262245i | ||||
\(121\) | −4.30269 | − | 10.1236i | −0.391153 | − | 0.920325i | ||||
\(122\) | 11.8586 | + | 6.84657i | 1.07363 | + | 0.619859i | ||||
\(123\) | −0.281413 | + | 0.0496207i | −0.0253742 | + | 0.00447415i | ||||
\(124\) | 5.60001 | − | 0.987433i | 0.502896 | − | 0.0886741i | ||||
\(125\) | 4.12522 | − | 7.14509i | 0.368971 | − | 0.639076i | ||||
\(126\) | −7.04643 | + | 4.06826i | −0.627746 | + | 0.362429i | ||||
\(127\) | −8.01016 | + | 6.72132i | −0.710786 | + | 0.596421i | −0.924820 | − | 0.380406i | \(-0.875784\pi\) |
0.214033 | + | 0.976826i | \(0.431340\pi\) | |||||||
\(128\) | −0.939693 | + | 0.342020i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | 0.368564 | + | 0.134146i | 0.0324502 | + | 0.0118109i | ||||
\(130\) | −1.56194 | − | 1.31062i | −0.136991 | − | 0.114949i | ||||
\(131\) | 10.1404 | + | 1.78803i | 0.885974 | + | 0.156221i | 0.598075 | − | 0.801440i | \(-0.295932\pi\) |
0.287898 | + | 0.957661i | \(0.407043\pi\) | |||||||
\(132\) | 0.00843048 | − | 0.138358i | 0.000733779 | − | 0.0120425i | ||||
\(133\) | −0.743483 | + | 11.8056i | −0.0644681 | + | 1.02367i | ||||
\(134\) | − | 10.3378i | − | 0.893051i | ||||||
\(135\) | −0.221524 | − | 0.0390606i | −0.0190657 | − | 0.00336180i | ||||
\(136\) | 2.84103 | − | 3.38581i | 0.243616 | − | 0.290330i | ||||
\(137\) | 10.0848 | + | 3.67056i | 0.861601 | + | 0.313597i | 0.734761 | − | 0.678326i | \(-0.237294\pi\) |
0.126840 | + | 0.991923i | \(0.459516\pi\) | |||||||
\(138\) | −0.120796 | − | 0.331884i | −0.0102828 | − | 0.0282519i | ||||
\(139\) | 11.2136 | + | 13.3639i | 0.951126 | + | 1.13351i | 0.990941 | + | 0.134301i | \(0.0428790\pi\) |
−0.0398142 | + | 0.999207i | \(0.512677\pi\) | |||||||
\(140\) | −2.10878 | + | 1.21751i | −0.178225 | + | 0.102898i | ||||
\(141\) | 0.114103 | + | 0.0658777i | 0.00960925 | + | 0.00554790i | ||||
\(142\) | −11.0091 | + | 1.94119i | −0.923860 | + | 0.162901i | ||||
\(143\) | −0.854884 | − | 7.48795i | −0.0714890 | − | 0.626174i | ||||
\(144\) | −1.49913 | + | 2.59656i | −0.124927 | + | 0.216380i | ||||
\(145\) | 0.590530 | + | 1.02283i | 0.0490409 | + | 0.0849413i | ||||
\(146\) | −3.20646 | − | 3.82131i | −0.265369 | − | 0.316254i | ||||
\(147\) | −0.00520962 | − | 0.0143133i | −0.000429683 | − | 0.00118054i | ||||
\(148\) | −1.27758 | + | 3.51011i | −0.105016 | + | 0.288530i | ||||
\(149\) | 0.875460 | − | 1.04333i | 0.0717205 | − | 0.0854732i | −0.728991 | − | 0.684523i | \(-0.760010\pi\) |
0.800712 | + | 0.599050i | \(0.204455\pi\) | |||||||
\(150\) | 0.172657 | + | 0.0304440i | 0.0140974 | + | 0.00248574i | ||||
\(151\) | 21.0348 | 1.71179 | 0.855893 | − | 0.517152i | \(-0.173008\pi\) | ||||
0.855893 | + | 0.517152i | \(0.173008\pi\) | |||||||
\(152\) | 1.93788 | + | 3.90444i | 0.157183 | + | 0.316692i | ||||
\(153\) | − | 13.2518i | − | 1.07135i | ||||||
\(154\) | −8.75230 | − | 2.09912i | −0.705280 | − | 0.169152i | ||||
\(155\) | 3.27971 | − | 3.90861i | 0.263433 | − | 0.313947i | ||||
\(156\) | 0.0324820 | − | 0.0892436i | 0.00260064 | − | 0.00714520i | ||||
\(157\) | −10.7679 | + | 3.91918i | −0.859369 | + | 0.312785i | −0.733854 | − | 0.679307i | \(-0.762280\pi\) |
−0.125515 | + | 0.992092i | \(0.540058\pi\) | |||||||
\(158\) | −0.352076 | + | 0.295427i | −0.0280097 | + | 0.0235029i | ||||
\(159\) | −0.127592 | − | 0.220996i | −0.0101187 | − | 0.0175261i | ||||
\(160\) | −0.448643 | + | 0.777073i | −0.0354684 | + | 0.0614330i | ||||
\(161\) | −22.5845 | + | 3.98225i | −1.77991 | + | 0.313846i | ||||
\(162\) | 1.56010 | + | 8.84779i | 0.122573 | + | 0.695148i | ||||
\(163\) | −2.08548 | + | 3.61215i | −0.163347 | + | 0.282926i | −0.936067 | − | 0.351822i | \(-0.885562\pi\) |
0.772720 | + | 0.634747i | \(0.218896\pi\) | |||||||
\(164\) | 3.41862 | + | 5.92122i | 0.266949 | + | 0.462370i | ||||
\(165\) | −0.0740052 | − | 0.0999643i | −0.00576130 | − | 0.00778221i | ||||
\(166\) | −1.40803 | − | 3.86854i | −0.109285 | − | 0.300257i | ||||
\(167\) | 3.97800 | + | 1.44787i | 0.307827 | + | 0.112040i | 0.491315 | − | 0.870982i | \(-0.336517\pi\) |
−0.183488 | + | 0.983022i | \(0.558739\pi\) | |||||||
\(168\) | −0.0868834 | − | 0.0729038i | −0.00670320 | − | 0.00562465i | ||||
\(169\) | −1.36077 | + | 7.71729i | −0.104674 | + | 0.593638i | ||||
\(170\) | − | 3.96588i | − | 0.304169i | ||||||
\(171\) | 11.9757 | + | 5.23294i | 0.915804 | + | 0.400173i | ||||
\(172\) | − | 9.38457i | − | 0.715566i | ||||||
\(173\) | 2.71735 | − | 15.4109i | 0.206597 | − | 1.17167i | −0.688311 | − | 0.725416i | \(-0.741647\pi\) |
0.894907 | − | 0.446252i | \(-0.147241\pi\) | |||||||
\(174\) | −0.0353607 | + | 0.0421413i | −0.00268069 | + | 0.00319472i | ||||
\(175\) | 3.89351 | − | 10.6973i | 0.294322 | − | 0.808642i | ||||
\(176\) | −3.17983 | + | 0.942702i | −0.239689 | + | 0.0710588i | ||||
\(177\) | −0.114716 | + | 0.0962581i | −0.00862258 | + | 0.00723520i | ||||
\(178\) | 7.17319 | − | 4.14145i | 0.537654 | − | 0.310414i | ||||
\(179\) | 22.1656 | + | 12.7973i | 1.65673 | + | 0.956516i | 0.974207 | + | 0.225656i | \(0.0724526\pi\) |
0.682528 | + | 0.730860i | \(0.260881\pi\) | |||||||
\(180\) | 0.467164 | + | 2.64942i | 0.0348204 | + | 0.197476i | ||||
\(181\) | −16.2432 | + | 2.86412i | −1.20735 | + | 0.212888i | −0.740873 | − | 0.671645i | \(-0.765588\pi\) |
−0.466476 | + | 0.884534i | \(0.654477\pi\) | |||||||
\(182\) | −5.34047 | − | 3.08332i | −0.395862 | − | 0.228551i | ||||
\(183\) | 0.286145 | + | 0.495617i | 0.0211524 | + | 0.0366371i | ||||
\(184\) | −6.47355 | + | 5.43195i | −0.477236 | + | 0.400449i | ||||
\(185\) | 1.14635 | + | 3.14958i | 0.0842815 | + | 0.231562i | ||||
\(186\) | 0.223324 | + | 0.0812833i | 0.0163749 | + | 0.00595998i | ||||
\(187\) | 10.0882 | − | 10.6356i | 0.737719 | − | 0.777751i | ||||
\(188\) | 0.547427 | − | 3.10461i | 0.0399252 | − | 0.226427i | ||||
\(189\) | −0.680311 | −0.0494854 | ||||||||
\(190\) | 3.58396 | + | 1.56606i | 0.260008 | + | 0.113614i | ||||
\(191\) | −3.15867 | −0.228553 | −0.114277 | − | 0.993449i | \(-0.536455\pi\) | ||||
−0.114277 | + | 0.993449i | \(0.536455\pi\) | |||||||
\(192\) | −0.0411589 | − | 0.00725743i | −0.00297039 | − | 0.000523760i | ||||
\(193\) | 10.1524 | + | 8.51889i | 0.730787 | + | 0.613203i | 0.930346 | − | 0.366683i | \(-0.119507\pi\) |
−0.199559 | + | 0.979886i | \(0.563951\pi\) | |||||||
\(194\) | 3.52700 | − | 9.69034i | 0.253224 | − | 0.695726i | ||||
\(195\) | −0.0291457 | − | 0.0800770i | −0.00208716 | − | 0.00573443i | ||||
\(196\) | −0.279188 | + | 0.234266i | −0.0199420 | + | 0.0167333i | ||||
\(197\) | 7.62536 | − | 4.40250i | 0.543284 | − | 0.313665i | −0.203125 | − | 0.979153i | \(-0.565110\pi\) |
0.746409 | + | 0.665488i | \(0.231776\pi\) | |||||||
\(198\) | −5.48660 | + | 8.29349i | −0.389916 | + | 0.589392i | ||||
\(199\) | 2.15156 | + | 12.2021i | 0.152520 | + | 0.864983i | 0.961018 | + | 0.276485i | \(0.0891695\pi\) |
−0.808499 | + | 0.588498i | \(0.799719\pi\) | |||||||
\(200\) | −0.728433 | − | 4.13115i | −0.0515080 | − | 0.292116i | ||||
\(201\) | 0.216029 | − | 0.374172i | 0.0152375 | − | 0.0263921i | ||||
\(202\) | −7.51853 | + | 4.34083i | −0.529002 | + | 0.305420i | ||||
\(203\) | 2.29604 | + | 2.73631i | 0.161150 | + | 0.192051i | ||||
\(204\) | 0.173583 | − | 0.0631789i | 0.0121532 | − | 0.00442341i | ||||
\(205\) | 5.76498 | + | 2.09828i | 0.402643 | + | 0.146550i | ||||
\(206\) | −9.20094 | + | 10.9653i | −0.641060 | + | 0.763986i | ||||
\(207\) | −4.39974 | + | 24.9522i | −0.305803 | + | 1.73430i | ||||
\(208\) | −2.27237 | −0.157560 | ||||||||
\(209\) | 5.62773 | + | 13.3165i | 0.389278 | + | 0.921120i | ||||
\(210\) | −0.101769 | −0.00702270 | ||||||||
\(211\) | −2.48768 | + | 14.1083i | −0.171259 | + | 0.971257i | 0.771115 | + | 0.636696i | \(0.219699\pi\) |
−0.942374 | + | 0.334562i | \(0.891412\pi\) | |||||||
\(212\) | −3.92472 | + | 4.67729i | −0.269551 | + | 0.321238i | ||||
\(213\) | −0.439033 | − | 0.159795i | −0.0300820 | − | 0.0109490i | ||||
\(214\) | 17.5627 | − | 6.39231i | 1.20056 | − | 0.436969i | ||||
\(215\) | −5.41268 | − | 6.45059i | −0.369142 | − | 0.439926i | ||||
\(216\) | −0.217104 | + | 0.125345i | −0.0147721 | + | 0.00852865i | ||||
\(217\) | 7.71574 | − | 13.3641i | 0.523779 | − | 0.907211i | ||||
\(218\) | 2.99147 | + | 16.9655i | 0.202608 | + | 1.14905i | ||||
\(219\) | −0.0362027 | − | 0.205316i | −0.00244635 | − | 0.0138740i | ||||
\(220\) | −1.64197 | + | 2.48199i | −0.110702 | + | 0.167336i | ||||
\(221\) | 8.69796 | − | 5.02177i | 0.585088 | − | 0.337801i | ||||
\(222\) | −0.119592 | + | 0.100350i | −0.00802648 | + | 0.00673502i | ||||
\(223\) | 0.996244 | + | 2.73716i | 0.0667134 | + | 0.183294i | 0.968570 | − | 0.248743i | \(-0.0800174\pi\) |
−0.901856 | + | 0.432036i | \(0.857795\pi\) | |||||||
\(224\) | −0.928158 | + | 2.55009i | −0.0620152 | + | 0.170385i | ||||
\(225\) | −9.63477 | − | 8.08454i | −0.642318 | − | 0.538969i | ||||
\(226\) | −7.72877 | − | 1.36279i | −0.514110 | − | 0.0906515i | ||||
\(227\) | 19.5384 | 1.29681 | 0.648406 | − | 0.761295i | \(-0.275436\pi\) | ||||
0.648406 | + | 0.761295i | \(0.275436\pi\) | |||||||
\(228\) | −0.0114502 | + | 0.181815i | −0.000758308 | + | 0.0120410i | ||||
\(229\) | 29.6336 | 1.95825 | 0.979123 | − | 0.203270i | \(-0.0651568\pi\) | ||||
0.979123 | + | 0.203270i | \(0.0651568\pi\) | |||||||
\(230\) | −1.31671 | + | 7.46743i | −0.0868212 | + | 0.492388i | ||||
\(231\) | −0.272920 | − | 0.258873i | −0.0179568 | − | 0.0170326i | ||||
\(232\) | 1.23688 | + | 0.450187i | 0.0812050 | + | 0.0295562i | ||||
\(233\) | 5.36726 | + | 14.7464i | 0.351621 | + | 0.966070i | 0.981850 | + | 0.189661i | \(0.0607388\pi\) |
−0.630229 | + | 0.776409i | \(0.717039\pi\) | |||||||
\(234\) | −5.21916 | + | 4.37940i | −0.341187 | + | 0.286290i | ||||
\(235\) | −1.41435 | − | 2.44973i | −0.0922620 | − | 0.159803i | ||||
\(236\) | 3.10305 | + | 1.79154i | 0.201991 | + | 0.116620i | ||||
\(237\) | −0.0189168 | + | 0.00333554i | −0.00122878 | + | 0.000216666i | ||||
\(238\) | −2.08280 | − | 11.8122i | −0.135008 | − | 0.765670i | ||||
\(239\) | −9.25680 | − | 5.34442i | −0.598773 | − | 0.345702i | 0.169786 | − | 0.985481i | \(-0.445692\pi\) |
−0.768559 | + | 0.639779i | \(0.779026\pi\) | |||||||
\(240\) | −0.0324769 | + | 0.0187505i | −0.00209637 | + | 0.00121034i | ||||
\(241\) | −16.3719 | + | 13.7377i | −1.05461 | + | 0.884921i | −0.993571 | − | 0.113214i | \(-0.963885\pi\) |
−0.0610375 | + | 0.998135i | \(0.519441\pi\) | |||||||
\(242\) | −10.7169 | + | 2.47938i | −0.688911 | + | 0.159381i | ||||
\(243\) | −0.385648 | + | 1.05956i | −0.0247393 | + | 0.0679707i | ||||
\(244\) | 8.80178 | − | 10.4896i | 0.563476 | − | 0.671525i | ||||
\(245\) | −0.0567863 | + | 0.322051i | −0.00362794 | + | 0.0205751i | ||||
\(246\) | 0.285754i | 0.0182190i | ||||||||
\(247\) | 1.10349 | + | 9.84336i | 0.0702133 | + | 0.626318i | ||||
\(248\) | − | 5.68640i | − | 0.361087i | ||||||
\(249\) | 0.0298775 | − | 0.169444i | 0.00189341 | − | 0.0107381i | ||||
\(250\) | −6.32020 | − | 5.30328i | −0.399725 | − | 0.335409i | ||||
\(251\) | −2.62030 | − | 0.953709i | −0.165392 | − | 0.0601976i | 0.257997 | − | 0.966146i | \(-0.416937\pi\) |
−0.423389 | + | 0.905948i | \(0.639160\pi\) | |||||||
\(252\) | 2.78285 | + | 7.64583i | 0.175303 | + | 0.481642i | ||||
\(253\) | −22.5263 | + | 16.6766i | −1.41622 | + | 1.04845i | ||||
\(254\) | 5.22826 | + | 9.05561i | 0.328050 | + | 0.568199i | ||||
\(255\) | 0.0828746 | − | 0.143543i | 0.00518981 | − | 0.00898902i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −5.92321 | + | 1.04442i | −0.369479 | + | 0.0651492i | −0.355305 | − | 0.934750i | \(-0.615623\pi\) |
−0.0141743 | + | 0.999900i | \(0.504512\pi\) | |||||||
\(258\) | 0.196109 | − | 0.339670i | 0.0122092 | − | 0.0211469i | ||||
\(259\) | 5.06846 | + | 8.77882i | 0.314939 | + | 0.545490i | ||||
\(260\) | −1.56194 | + | 1.31062i | −0.0968672 | + | 0.0812813i | ||||
\(261\) | 3.70847 | − | 1.34977i | 0.229549 | − | 0.0835489i | ||||
\(262\) | 3.52174 | − | 9.67589i | 0.217574 | − | 0.597778i | ||||
\(263\) | 12.2887 | − | 14.6452i | 0.757756 | − | 0.903059i | −0.239947 | − | 0.970786i | \(-0.577130\pi\) |
0.997704 | + | 0.0677270i | \(0.0215747\pi\) | |||||||
\(264\) | −0.134792 | − | 0.0323280i | −0.00829588 | − | 0.00198965i | ||||
\(265\) | 5.47863i | 0.336549i | ||||||||
\(266\) | 11.4971 | + | 2.78221i | 0.704934 | + | 0.170588i | ||||
\(267\) | 0.346174 | 0.0211855 | ||||||||
\(268\) | −10.1808 | − | 1.79514i | −0.621889 | − | 0.109656i | ||||
\(269\) | 5.21014 | − | 6.20920i | 0.317668 | − | 0.378582i | −0.583455 | − | 0.812145i | \(-0.698300\pi\) |
0.901123 | + | 0.433564i | \(0.142744\pi\) | |||||||
\(270\) | −0.0769343 | + | 0.211375i | −0.00468207 | + | 0.0128639i | ||||
\(271\) | 3.42805 | + | 9.41848i | 0.208239 | + | 0.572132i | 0.999211 | − | 0.0397208i | \(-0.0126468\pi\) |
−0.790972 | + | 0.611852i | \(0.790425\pi\) | |||||||
\(272\) | −2.84103 | − | 3.38581i | −0.172263 | − | 0.205295i | ||||
\(273\) | −0.128864 | − | 0.223199i | −0.00779920 | − | 0.0135086i | ||||
\(274\) | 5.36600 | − | 9.29419i | 0.324172 | − | 0.561482i | ||||
\(275\) | −1.57815 | − | 13.8230i | −0.0951659 | − | 0.833561i | ||||
\(276\) | −0.347818 | + | 0.0613298i | −0.0209362 | + | 0.00369162i | ||||
\(277\) | −7.04243 | − | 4.06595i | −0.423139 | − | 0.244299i | 0.273281 | − | 0.961934i | \(-0.411891\pi\) |
−0.696419 | + | 0.717635i | \(0.745225\pi\) | |||||||
\(278\) | 15.1081 | − | 8.72264i | 0.906121 | − | 0.523149i | ||||
\(279\) | −10.9591 | − | 13.0605i | −0.656102 | − | 0.781911i | ||||
\(280\) | 0.832824 | + | 2.28816i | 0.0497707 | + | 0.136744i | ||||
\(281\) | −13.2095 | − | 4.80785i | −0.788011 | − | 0.286812i | −0.0835018 | − | 0.996508i | \(-0.526610\pi\) |
−0.704509 | + | 0.709695i | \(0.748833\pi\) | |||||||
\(282\) | 0.0846907 | − | 0.100930i | 0.00504326 | − | 0.00601032i | ||||
\(283\) | −23.3488 | − | 4.11702i | −1.38794 | − | 0.244731i | −0.570762 | − | 0.821116i | \(-0.693352\pi\) |
−0.817179 | + | 0.576384i | \(0.804463\pi\) | |||||||
\(284\) | 11.1789i | 0.663345i | ||||||||
\(285\) | 0.0969940 | + | 0.131577i | 0.00574543 | + | 0.00779393i | ||||
\(286\) | −7.52264 | − | 0.458372i | −0.444823 | − | 0.0271041i | ||||
\(287\) | 18.2727 | + | 3.22197i | 1.07860 | + | 0.190187i | ||||
\(288\) | 2.29680 | + | 1.92724i | 0.135340 | + | 0.113564i | ||||
\(289\) | 2.38224 | + | 0.867064i | 0.140132 | + | 0.0510038i | ||||
\(290\) | 1.10983 | − | 0.403946i | 0.0651717 | − | 0.0237205i | ||||
\(291\) | 0.330156 | − | 0.277034i | 0.0193541 | − | 0.0162400i | ||||
\(292\) | −4.32005 | + | 2.49418i | −0.252812 | + | 0.145961i | ||||
\(293\) | −3.22532 | + | 5.58643i | −0.188425 | + | 0.326363i | −0.944725 | − | 0.327862i | \(-0.893672\pi\) |
0.756300 | + | 0.654225i | \(0.227005\pi\) | |||||||
\(294\) | −0.0150005 | + | 0.00264500i | −0.000874848 | + | 0.000154259i | ||||
\(295\) | 3.16621 | − | 0.558289i | 0.184344 | − | 0.0325048i | ||||
\(296\) | 3.23494 | + | 1.86769i | 0.188027 | + | 0.108557i | ||||
\(297\) | −0.744004 | + | 0.371160i | −0.0431715 | + | 0.0215369i | ||||
\(298\) | −0.875460 | − | 1.04333i | −0.0507140 | − | 0.0604386i | ||||
\(299\) | −18.0448 | + | 6.56778i | −1.04356 | + | 0.379825i | ||||
\(300\) | 0.0599630 | − | 0.164747i | 0.00346197 | − | 0.00951167i | ||||
\(301\) | −19.5092 | − | 16.3701i | −1.12449 | − | 0.943558i | ||||
\(302\) | 3.65265 | − | 20.7152i | 0.210187 | − | 1.19203i | ||||
\(303\) | −0.362840 | −0.0208446 | ||||||||
\(304\) | 4.18163 | − | 1.23044i | 0.239833 | − | 0.0705704i | ||||
\(305\) | − | 12.2867i | − | 0.703532i | ||||||
\(306\) | −13.0505 | − | 2.30116i | −0.746049 | − | 0.131549i | ||||
\(307\) | 4.80276 | + | 4.02999i | 0.274108 | + | 0.230004i | 0.769470 | − | 0.638683i | \(-0.220520\pi\) |
−0.495362 | + | 0.868686i | \(0.664965\pi\) | |||||||
\(308\) | −3.58705 | + | 8.25482i | −0.204391 | + | 0.470362i | ||||
\(309\) | −0.562164 | + | 0.204611i | −0.0319804 | + | 0.0116399i | ||||
\(310\) | −3.27971 | − | 3.90861i | −0.186275 | − | 0.221994i | ||||
\(311\) | −13.1486 | − | 22.7741i | −0.745591 | − | 1.29140i | −0.949918 | − | 0.312499i | \(-0.898834\pi\) |
0.204327 | − | 0.978903i | \(-0.434499\pi\) | |||||||
\(312\) | −0.0822473 | − | 0.0474855i | −0.00465634 | − | 0.00268834i | ||||
\(313\) | 0.231603 | + | 1.31349i | 0.0130910 | + | 0.0742427i | 0.990653 | − | 0.136403i | \(-0.0435543\pi\) |
−0.977562 | + | 0.210646i | \(0.932443\pi\) | |||||||
\(314\) | 1.98982 | + | 11.2848i | 0.112292 | + | 0.636840i | ||||
\(315\) | 6.32267 | + | 3.65039i | 0.356242 | + | 0.205676i | ||||
\(316\) | 0.229802 | + | 0.398028i | 0.0129274 | + | 0.0223908i | ||||
\(317\) | 16.0267 | + | 19.0998i | 0.900148 | + | 1.07275i | 0.996996 | + | 0.0774551i | \(0.0246794\pi\) |
−0.0968481 | + | 0.995299i | \(0.530876\pi\) | |||||||
\(318\) | −0.239794 | + | 0.0872780i | −0.0134470 | + | 0.00489431i | ||||
\(319\) | 4.00386 | + | 1.73983i | 0.224173 | + | 0.0974120i | ||||
\(320\) | 0.687361 | + | 0.576765i | 0.0384247 | + | 0.0322421i | ||||
\(321\) | 0.769254 | + | 0.135640i | 0.0429356 | + | 0.00757070i | ||||
\(322\) | 22.9329i | 1.27800i | ||||||||
\(323\) | −13.2869 | + | 13.9509i | −0.739302 | + | 0.776246i | ||||
\(324\) | 8.98428 | 0.499127 | ||||||||
\(325\) | 1.65527 | − | 9.38749i | 0.0918177 | − | 0.520724i | ||||
\(326\) | 3.19514 | + | 2.68104i | 0.176962 | + | 0.148489i | ||||
\(327\) | −0.246252 | + | 0.676570i | −0.0136177 | + | 0.0374144i | ||||
\(328\) | 6.42490 | − | 2.33847i | 0.354756 | − | 0.129121i | ||||
\(329\) | −5.49912 | − | 6.55360i | −0.303177 | − | 0.361312i | ||||
\(330\) | −0.111296 | + | 0.0555223i | −0.00612667 | + | 0.00305640i | ||||
\(331\) | 11.7611 | + | 6.79025i | 0.646446 | + | 0.373226i | 0.787093 | − | 0.616834i | \(-0.211585\pi\) |
−0.140647 | + | 0.990060i | \(0.544918\pi\) | |||||||
\(332\) | −4.05427 | + | 0.714877i | −0.222507 | + | 0.0392340i | ||||
\(333\) | 11.0295 | − | 1.94480i | 0.604412 | − | 0.106574i | ||||
\(334\) | 2.11665 | − | 3.66614i | 0.115818 | − | 0.200602i | ||||
\(335\) | −8.03323 | + | 4.63799i | −0.438902 | + | 0.253400i | ||||
\(336\) | −0.0868834 | + | 0.0729038i | −0.00473988 | + | 0.00397723i | ||||
\(337\) | −28.0104 | + | 10.1949i | −1.52582 | + | 0.555354i | −0.962594 | − | 0.270948i | \(-0.912663\pi\) |
−0.563228 | + | 0.826302i | \(0.690441\pi\) | |||||||
\(338\) | 7.36376 | + | 2.68019i | 0.400536 | + | 0.145783i | ||||
\(339\) | −0.251261 | − | 0.210833i | −0.0136466 | − | 0.0114509i | ||||
\(340\) | −3.90563 | − | 0.688667i | −0.211812 | − | 0.0373482i | ||||
\(341\) | 1.14704 | − | 18.8247i | 0.0621155 | − | 1.01942i | ||||
\(342\) | 7.23300 | − | 10.8851i | 0.391116 | − | 0.588597i | ||||
\(343\) | − | 18.0072i | − | 0.972299i | ||||||
\(344\) | −9.24199 | − | 1.62961i | −0.498295 | − | 0.0878628i | ||||
\(345\) | −0.203704 | + | 0.242765i | −0.0109671 | + | 0.0130700i | ||||
\(346\) | −14.7049 | − | 5.35214i | −0.790540 | − | 0.287733i | ||||
\(347\) | 2.18771 | + | 6.01068i | 0.117442 | + | 0.322670i | 0.984460 | − | 0.175606i | \(-0.0561886\pi\) |
−0.867018 | + | 0.498277i | \(0.833966\pi\) | |||||||
\(348\) | 0.0353607 | + | 0.0421413i | 0.00189553 | + | 0.00225901i | ||||
\(349\) | −3.53283 | + | 2.03968i | −0.189108 | + | 0.109182i | −0.591565 | − | 0.806257i | \(-0.701490\pi\) |
0.402457 | + | 0.915439i | \(0.368156\pi\) | |||||||
\(350\) | −9.85871 | − | 5.69193i | −0.526970 | − | 0.304246i | ||||
\(351\) | −0.561006 | + | 0.0989204i | −0.0299443 | + | 0.00527998i | ||||
\(352\) | 0.376209 | + | 3.29522i | 0.0200520 | + | 0.175636i | ||||
\(353\) | 8.02125 | − | 13.8932i | 0.426928 | − | 0.739461i | −0.569670 | − | 0.821873i | \(-0.692929\pi\) |
0.996598 | + | 0.0824125i | \(0.0262625\pi\) | |||||||
\(354\) | 0.0748755 | + | 0.129688i | 0.00397959 | + | 0.00689285i | ||||
\(355\) | 6.44759 | + | 7.68394i | 0.342202 | + | 0.407821i | ||||
\(356\) | −2.83292 | − | 7.78337i | −0.150144 | − | 0.412518i | ||||
\(357\) | 0.171452 | − | 0.471060i | 0.00907420 | − | 0.0249312i | ||||
\(358\) | 16.4519 | − | 19.6066i | 0.869510 | − | 1.03624i | ||||
\(359\) | −25.9093 | − | 4.56850i | −1.36744 | − | 0.241116i | −0.558741 | − | 0.829342i | \(-0.688716\pi\) |
−0.808697 | + | 0.588226i | \(0.799827\pi\) | |||||||
\(360\) | 2.69029 | 0.141791 | ||||||||
\(361\) | −7.36061 | − | 17.5163i | −0.387401 | − | 0.921911i | ||||
\(362\) | 16.4938i | 0.866895i | ||||||||
\(363\) | −0.439706 | − | 0.134211i | −0.0230786 | − | 0.00704425i | ||||
\(364\) | −3.96384 | + | 4.72392i | −0.207762 | + | 0.247601i | ||||
\(365\) | −1.53088 | + | 4.20606i | −0.0801299 | + | 0.220155i | ||||
\(366\) | 0.537776 | − | 0.195734i | 0.0281100 | − | 0.0102312i | ||||
\(367\) | 5.50631 | − | 4.62034i | 0.287427 | − | 0.241180i | −0.487661 | − | 0.873033i | \(-0.662150\pi\) |
0.775088 | + | 0.631853i | \(0.217705\pi\) | |||||||
\(368\) | 4.22531 | + | 7.31845i | 0.220259 | + | 0.381501i | ||||
\(369\) | 10.2499 | − | 17.7533i | 0.533588 | − | 0.924201i | ||||
\(370\) | 3.30079 | − | 0.582018i | 0.171600 | − | 0.0302577i | ||||
\(371\) | 2.87727 | + | 16.3178i | 0.149381 | + | 0.847180i | ||||
\(372\) | 0.118828 | − | 0.205817i | 0.00616096 | − | 0.0106711i | ||||
\(373\) | 11.9925 | + | 20.7716i | 0.620947 | + | 1.07551i | 0.989310 | + | 0.145830i | \(0.0465852\pi\) |
−0.368362 | + | 0.929682i | \(0.620081\pi\) | |||||||
\(374\) | −8.72221 | − | 11.7817i | −0.451015 | − | 0.609219i | ||||
\(375\) | −0.117935 | − | 0.324023i | −0.00609012 | − | 0.0167325i | ||||
\(376\) | −2.96239 | − | 1.07822i | −0.152773 | − | 0.0556050i | ||||
\(377\) | 2.29126 | + | 1.92259i | 0.118006 | + | 0.0990185i | ||||
\(378\) | −0.118135 | + | 0.669976i | −0.00607620 | + | 0.0344598i | ||||
\(379\) | − | 25.2410i | − | 1.29654i | −0.761410 | − | 0.648270i | \(-0.775493\pi\) | ||
0.761410 | − | 0.648270i | \(-0.224507\pi\) | |||||||
\(380\) | 2.16462 | − | 3.25757i | 0.111043 | − | 0.167110i | ||||
\(381\) | 0.437018i | 0.0223891i | ||||||||
\(382\) | −0.548497 | + | 3.11068i | −0.0280635 | + | 0.159156i | ||||
\(383\) | 10.5292 | − | 12.5482i | 0.538016 | − | 0.641182i | −0.426726 | − | 0.904381i | \(-0.640333\pi\) |
0.964742 | + | 0.263199i | \(0.0847775\pi\) | |||||||
\(384\) | −0.0142943 | + | 0.0392734i | −0.000729455 | + | 0.00200416i | ||||
\(385\) | 2.29549 | + | 7.74293i | 0.116989 | + | 0.394616i | ||||
\(386\) | 10.1524 | − | 8.51889i | 0.516744 | − | 0.433600i | ||||
\(387\) | −24.3676 | + | 14.0687i | −1.23868 | + | 0.715150i | ||||
\(388\) | −8.93067 | − | 5.15612i | −0.453386 | − | 0.261763i | ||||
\(389\) | 1.92619 | + | 10.9239i | 0.0976615 | + | 0.553866i | 0.993899 | + | 0.110292i | \(0.0351785\pi\) |
−0.896238 | + | 0.443574i | \(0.853710\pi\) | |||||||
\(390\) | −0.0839216 | + | 0.0147976i | −0.00424953 | + | 0.000749307i | ||||
\(391\) | −32.3465 | − | 18.6753i | −1.63583 | − | 0.944448i | ||||
\(392\) | 0.182227 | + | 0.315626i | 0.00920384 | + | 0.0159415i | ||||
\(393\) | 0.329664 | − | 0.276621i | 0.0166293 | − | 0.0139537i | ||||
\(394\) | −3.01149 | − | 8.27400i | −0.151717 | − | 0.416838i | ||||
\(395\) | 0.387525 | + | 0.141048i | 0.0194985 | + | 0.00709688i | ||||
\(396\) | 7.21475 | + | 6.84340i | 0.362555 | + | 0.343894i | ||||
\(397\) | −0.135022 | + | 0.765748i | −0.00677656 | + | 0.0384318i | −0.988009 | − | 0.154399i | \(-0.950656\pi\) |
0.981232 | + | 0.192831i | \(0.0617669\pi\) | |||||||
\(398\) | 12.3903 | 0.621071 | ||||||||
\(399\) | 0.357994 | + | 0.340955i | 0.0179221 | + | 0.0170691i | ||||
\(400\) | −4.19488 | −0.209744 | ||||||||
\(401\) | −1.42992 | − | 0.252133i | −0.0714066 | − | 0.0125909i | 0.137831 | − | 0.990456i | \(-0.455987\pi\) |
−0.209237 | + | 0.977865i | \(0.567098\pi\) | |||||||
\(402\) | −0.330975 | − | 0.277721i | −0.0165075 | − | 0.0138515i | ||||
\(403\) | 4.41944 | − | 12.1423i | 0.220148 | − | 0.604852i | ||||
\(404\) | 2.96930 | + | 8.15809i | 0.147728 | + | 0.405880i | ||||
\(405\) | 6.17545 | − | 5.18182i | 0.306860 | − | 0.257486i | ||||
\(406\) | 3.09344 | − | 1.78600i | 0.153525 | − | 0.0886377i | ||||
\(407\) | 10.3325 | + | 6.83551i | 0.512162 | + | 0.338823i | ||||
\(408\) | −0.0320768 | − | 0.181916i | −0.00158804 | − | 0.00900621i | ||||
\(409\) | 1.70352 | + | 9.66113i | 0.0842336 | + | 0.477712i | 0.997519 | + | 0.0703929i | \(0.0224253\pi\) |
−0.913286 | + | 0.407319i | \(0.866464\pi\) | |||||||
\(410\) | 3.06748 | − | 5.31303i | 0.151492 | − | 0.262392i | ||||
\(411\) | 0.388440 | − | 0.224266i | 0.0191603 | − | 0.0110622i | ||||
\(412\) | 9.20094 | + | 10.9653i | 0.453298 | + | 0.540219i | ||||
\(413\) | 9.13721 | − | 3.32567i | 0.449613 | − | 0.163646i | ||||
\(414\) | 23.8091 | + | 8.66580i | 1.17015 | + | 0.425901i | ||||
\(415\) | −2.37443 | + | 2.82974i | −0.116556 | + | 0.138906i | ||||
\(416\) | −0.394592 | + | 2.23785i | −0.0193465 | + | 0.109719i | ||||
\(417\) | 0.729106 | 0.0357045 | ||||||||
\(418\) | 14.0914 | − | 3.22984i | 0.689234 | − | 0.157977i | ||||
\(419\) | −34.6110 | −1.69086 | −0.845428 | − | 0.534089i | \(-0.820655\pi\) | ||||
−0.845428 | + | 0.534089i | \(0.820655\pi\) | |||||||
\(420\) | −0.0176719 | + | 0.100223i | −0.000862302 | + | 0.00489036i | ||||
\(421\) | −8.40885 | + | 10.0213i | −0.409822 | + | 0.488407i | −0.930989 | − | 0.365048i | \(-0.881053\pi\) |
0.521166 | + | 0.853455i | \(0.325497\pi\) | |||||||
\(422\) | 13.4620 | + | 4.89977i | 0.655320 | + | 0.238517i | ||||
\(423\) | −8.88198 | + | 3.23278i | −0.431857 | + | 0.157183i | ||||
\(424\) | 3.92472 | + | 4.67729i | 0.190601 | + | 0.227150i | ||||
\(425\) | 16.0568 | − | 9.27038i | 0.778867 | − | 0.449679i | ||||
\(426\) | −0.233604 | + | 0.404615i | −0.0113182 | + | 0.0196037i | ||||
\(427\) | −6.45273 | − | 36.5952i | −0.312269 | − | 1.77097i | ||||
\(428\) | −3.24546 | − | 18.4059i | −0.156875 | − | 0.889683i | ||||
\(429\) | −0.262700 | − | 0.173791i | −0.0126833 | − | 0.00839069i | ||||
\(430\) | −7.29249 | + | 4.21032i | −0.351675 | + | 0.203040i | ||||
\(431\) | −14.4193 | + | 12.0993i | −0.694555 | + | 0.582801i | −0.920219 | − | 0.391404i | \(-0.871989\pi\) |
0.225663 | + | 0.974205i | \(0.427545\pi\) | |||||||
\(432\) | 0.0857411 | + | 0.235572i | 0.00412522 | + | 0.0113339i | ||||
\(433\) | 9.77508 | − | 26.8568i | 0.469760 | − | 1.29066i | −0.448182 | − | 0.893942i | \(-0.647928\pi\) |
0.917942 | − | 0.396714i | \(-0.129849\pi\) | |||||||
\(434\) | −11.8212 | − | 9.91916i | −0.567436 | − | 0.476135i | ||||
\(435\) | 0.0486112 | + | 0.00857146i | 0.00233073 | + | 0.000410970i | ||||
\(436\) | 17.2272 | 0.825033 | ||||||||
\(437\) | 29.6499 | − | 21.8570i | 1.41835 | − | 1.04556i | ||||
\(438\) | −0.208483 | −0.00996171 | ||||||||
\(439\) | 5.12055 | − | 29.0401i | 0.244391 | − | 1.38601i | −0.577513 | − | 0.816381i | \(-0.695977\pi\) |
0.821904 | − | 0.569626i | \(-0.192912\pi\) | |||||||
\(440\) | 2.15916 | + | 2.04802i | 0.102934 | + | 0.0976356i | ||||
\(441\) | 1.02682 | + | 0.373734i | 0.0488964 | + | 0.0177968i | ||||
\(442\) | −3.43509 | − | 9.43784i | −0.163391 | − | 0.448912i | ||||
\(443\) | 10.1951 | − | 8.55472i | 0.484385 | − | 0.406447i | −0.367624 | − | 0.929974i | \(-0.619829\pi\) |
0.852009 | + | 0.523527i | \(0.175384\pi\) | |||||||
\(444\) | 0.0780581 | + | 0.135201i | 0.00370447 | + | 0.00641634i | ||||
\(445\) | −6.43641 | − | 3.71606i | −0.305115 | − | 0.176158i | ||||
\(446\) | 2.86857 | − | 0.505806i | 0.135831 | − | 0.0239506i | ||||
\(447\) | −0.00988443 | − | 0.0560574i | −0.000467517 | − | 0.00265142i | ||||
\(448\) | 2.35018 | + | 1.35688i | 0.111036 | + | 0.0641064i | ||||
\(449\) | −22.3719 | + | 12.9164i | −1.05580 | + | 0.609565i | −0.924267 | − | 0.381748i | \(-0.875322\pi\) |
−0.131530 | + | 0.991312i | \(0.541989\pi\) | |||||||
\(450\) | −9.63477 | + | 8.08454i | −0.454188 | + | 0.381109i | ||||
\(451\) | 21.7412 | − | 6.44547i | 1.02376 | − | 0.303506i | ||||
\(452\) | −2.68417 | + | 7.37471i | −0.126253 | + | 0.346877i | ||||
\(453\) | 0.565091 | − | 0.673449i | 0.0265503 | − | 0.0316414i | ||||
\(454\) | 3.39281 | − | 19.2416i | 0.159233 | − | 0.903053i | ||||
\(455\) | 5.53324i | 0.259403i | ||||||||
\(456\) | 0.177065 | + | 0.0428481i | 0.00829181 | + | 0.00200655i | ||||
\(457\) | − | 13.3420i | − | 0.624112i | −0.950064 | − | 0.312056i | \(-0.898982\pi\) | ||
0.950064 | − | 0.312056i | \(-0.101018\pi\) | |||||||
\(458\) | 5.14583 | − | 29.1834i | 0.240449 | − | 1.36365i | ||||
\(459\) | −0.848788 | − | 0.712218i | −0.0396180 | − | 0.0332435i | ||||
\(460\) | 7.12534 | + | 2.59341i | 0.332221 | + | 0.120918i | ||||
\(461\) | −0.901787 | − | 2.47764i | −0.0420004 | − | 0.115395i | 0.916919 | − | 0.399072i | \(-0.130668\pi\) |
−0.958920 | + | 0.283677i | \(0.908446\pi\) | |||||||
\(462\) | −0.302332 | + | 0.223821i | −0.0140658 | + | 0.0104131i | ||||
\(463\) | −5.34893 | − | 9.26462i | −0.248586 | − | 0.430564i | 0.714548 | − | 0.699587i | \(-0.246633\pi\) |
−0.963134 | + | 0.269023i | \(0.913299\pi\) | |||||||
\(464\) | 0.658129 | − | 1.13991i | 0.0305529 | − | 0.0529191i | ||||
\(465\) | −0.0370298 | − | 0.210006i | −0.00171721 | − | 0.00973881i | ||||
\(466\) | 15.4544 | − | 2.72503i | 0.715911 | − | 0.126235i | ||||
\(467\) | −5.96133 | + | 10.3253i | −0.275858 | + | 0.477799i | −0.970351 | − | 0.241700i | \(-0.922295\pi\) |
0.694494 | + | 0.719499i | \(0.255628\pi\) | |||||||
\(468\) | 3.40657 | + | 5.90035i | 0.157469 | + | 0.272744i | ||||
\(469\) | −21.4908 | + | 18.0329i | −0.992354 | + | 0.832684i | ||||
\(470\) | −2.65811 | + | 0.967472i | −0.122609 | + | 0.0446262i | ||||
\(471\) | −0.163798 | + | 0.450031i | −0.00754740 | + | 0.0207363i | ||||
\(472\) | 2.30316 | − | 2.74480i | 0.106012 | − | 0.126340i | ||||
\(473\) | −30.2668 | − | 7.25906i | −1.39167 | − | 0.333772i | ||||
\(474\) | 0.0192086i | 0.000882280i | ||||||||
\(475\) | 2.03708 | + | 18.1712i | 0.0934678 | + | 0.833753i | ||||
\(476\) | −11.9944 | −0.549762 | ||||||||
\(477\) | 18.0285 | + | 3.17892i | 0.825470 | + | 0.145553i | ||||
\(478\) | −6.87065 | + | 8.18812i | −0.314256 | + | 0.374516i | ||||
\(479\) | −0.916169 | + | 2.51715i | −0.0418608 | + | 0.115012i | −0.958862 | − | 0.283873i | \(-0.908381\pi\) |
0.917001 | + | 0.398885i | \(0.130603\pi\) | |||||||
\(480\) | 0.0128261 | + | 0.0352395i | 0.000585430 | + | 0.00160845i | ||||
\(481\) | 5.45609 | + | 6.50231i | 0.248776 | + | 0.296480i | ||||
\(482\) | 10.6860 | + | 18.5087i | 0.486734 | + | 0.843049i | ||||
\(483\) | −0.479227 | + | 0.830046i | −0.0218056 | + | 0.0377684i | ||||
\(484\) | 0.580736 | + | 10.9847i | 0.0263971 | + | 0.499303i | ||||
\(485\) | −9.11246 | + | 1.60677i | −0.413776 | + | 0.0729598i | ||||
\(486\) | 0.976494 | + | 0.563779i | 0.0442947 | + | 0.0255735i | ||||
\(487\) | 19.6599 | − | 11.3506i | 0.890874 | − | 0.514346i | 0.0166457 | − | 0.999861i | \(-0.494701\pi\) |
0.874228 | + | 0.485515i | \(0.161368\pi\) | |||||||
\(488\) | −8.80178 | − | 10.4896i | −0.398438 | − | 0.474840i | ||||
\(489\) | 0.0596210 | + | 0.163807i | 0.00269616 | + | 0.00740763i | ||||
\(490\) | 0.307298 | + | 0.111847i | 0.0138823 | + | 0.00505274i | ||||
\(491\) | −6.33654 | + | 7.55159i | −0.285964 | + | 0.340799i | −0.889834 | − | 0.456284i | \(-0.849180\pi\) |
0.603870 | + | 0.797083i | \(0.293625\pi\) | |||||||
\(492\) | 0.281413 | + | 0.0496207i | 0.0126871 | + | 0.00223708i | ||||
\(493\) | 5.81767i | 0.262015i | ||||||||
\(494\) | 9.88544 | + | 0.622557i | 0.444767 | + | 0.0280102i | ||||
\(495\) | 8.90617 | + | 0.542674i | 0.400303 | + | 0.0243914i | ||||
\(496\) | −5.60001 | − | 0.987433i | −0.251448 | − | 0.0443370i | ||||
\(497\) | 23.2393 | + | 19.5001i | 1.04242 | + | 0.874698i | ||||
\(498\) | −0.161681 | − | 0.0588471i | −0.00724511 | − | 0.00263700i | ||||
\(499\) | −2.49909 | + | 0.909593i | −0.111874 | + | 0.0407190i | −0.397351 | − | 0.917667i | \(-0.630070\pi\) |
0.285476 | + | 0.958386i | \(0.407848\pi\) | |||||||
\(500\) | −6.32020 | + | 5.30328i | −0.282648 | + | 0.237170i | ||||
\(501\) | 0.153222 | − | 0.0884629i | 0.00684547 | − | 0.00395223i | ||||
\(502\) | −1.39423 | + | 2.41488i | −0.0622275 | + | 0.107781i | ||||
\(503\) | −38.1310 | + | 6.72352i | −1.70018 | + | 0.299787i | −0.937756 | − | 0.347295i | \(-0.887100\pi\) |
−0.762421 | + | 0.647082i | \(0.775989\pi\) | |||||||
\(504\) | 8.01291 | − | 1.41289i | 0.356923 | − | 0.0629352i | ||||
\(505\) | 6.74628 | + | 3.89497i | 0.300205 | + | 0.173324i | ||||
\(506\) | 12.5116 | + | 25.0799i | 0.556207 | + | 1.11494i | ||||
\(507\) | 0.210520 | + | 0.250888i | 0.00934953 | + | 0.0111423i | ||||
\(508\) | 9.82591 | − | 3.57634i | 0.435954 | − | 0.158674i | ||||
\(509\) | −5.57609 | + | 15.3202i | −0.247156 | + | 0.679055i | 0.752632 | + | 0.658442i | \(0.228784\pi\) |
−0.999788 | + | 0.0206134i | \(0.993438\pi\) | |||||||
\(510\) | −0.126971 | − | 0.106542i | −0.00562238 | − | 0.00471774i | ||||
\(511\) | −2.35071 | + | 13.3315i | −0.103989 | + | 0.589752i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0.978804 | − | 0.485807i | 0.0432153 | − | 0.0214489i | ||||
\(514\) | 6.01458i | 0.265292i | ||||||||
\(515\) | 12.6487 | + | 2.23031i | 0.557370 | + | 0.0982794i | ||||
\(516\) | −0.300456 | − | 0.252112i | −0.0132268 | − | 0.0110986i | ||||
\(517\) | −9.58944 | − | 4.16699i | −0.421743 | − | 0.183264i | ||||
\(518\) | 9.52558 | − | 3.46703i | 0.418530 | − | 0.152332i | ||||
\(519\) | −0.420394 | − | 0.501006i | −0.0184532 | − | 0.0219917i | ||||
\(520\) | 1.01948 | + | 1.76579i | 0.0447072 | + | 0.0774352i | ||||
\(521\) | −21.3965 | − | 12.3533i | −0.937398 | − | 0.541207i | −0.0482543 | − | 0.998835i | \(-0.515366\pi\) |
−0.889144 | + | 0.457628i | \(0.848699\pi\) | |||||||
\(522\) | −0.685298 | − | 3.88652i | −0.0299947 | − | 0.170108i | ||||
\(523\) | 0.0314977 | + | 0.178633i | 0.00137730 | + | 0.00781106i | 0.985489 | − | 0.169741i | \(-0.0542932\pi\) |
−0.984111 | + | 0.177552i | \(0.943182\pi\) | |||||||
\(524\) | −8.91735 | − | 5.14843i | −0.389556 | − | 0.224910i | ||||
\(525\) | −0.237888 | − | 0.412034i | −0.0103823 | − | 0.0179826i | ||||
\(526\) | −12.2887 | − | 14.6452i | −0.535815 | − | 0.638559i | ||||
\(527\) | 23.6174 | − | 8.59601i | 1.02879 | − | 0.374448i | ||||
\(528\) | −0.0552433 | + | 0.127131i | −0.00240415 | + | 0.00553265i | ||||
\(529\) | 37.0865 | + | 31.1193i | 1.61246 | + | 1.35301i | ||||
\(530\) | 5.39540 | + | 0.951354i | 0.234361 | + | 0.0413242i | ||||
\(531\) | − | 10.7430i | − | 0.466207i | ||||||
\(532\) | 4.73639 | − | 10.8393i | 0.205349 | − | 0.469945i | ||||
\(533\) | 15.5367 | 0.672970 | ||||||||
\(534\) | 0.0601125 | − | 0.340915i | 0.00260132 | − | 0.0147528i | ||||
\(535\) | −12.8467 | − | 10.7796i | −0.555411 | − | 0.466045i | ||||
\(536\) | −3.53574 | + | 9.71437i | −0.152721 | + | 0.419597i | ||||
\(537\) | 1.00519 | − | 0.365858i | 0.0433770 | − | 0.0157880i | ||||
\(538\) | −5.21014 | − | 6.20920i | −0.224625 | − | 0.267698i | ||||
\(539\) | 0.539592 | + | 1.08163i | 0.0232419 | + | 0.0465892i | ||||
\(540\) | 0.194805 | + | 0.112470i | 0.00838305 | + | 0.00483996i | ||||
\(541\) | −20.4361 | + | 3.60343i | −0.878616 | + | 0.154924i | −0.594721 | − | 0.803932i | \(-0.702738\pi\) |
−0.283894 | + | 0.958856i | \(0.591627\pi\) | |||||||
\(542\) | 9.87066 | − | 1.74046i | 0.423981 | − | 0.0747593i | ||||
\(543\) | −0.344670 | + | 0.596986i | −0.0147912 | + | 0.0256191i | ||||
\(544\) | −3.82771 | + | 2.20993i | −0.164112 | + | 0.0947499i | ||||
\(545\) | 11.8413 | − | 9.93604i | 0.507226 | − | 0.425613i | ||||
\(546\) | −0.242185 | + | 0.0881481i | −0.0103646 | + | 0.00377239i | ||||
\(547\) | 3.79957 | + | 1.38293i | 0.162458 | + | 0.0591298i | 0.421969 | − | 0.906610i | \(-0.361339\pi\) |
−0.259511 | + | 0.965740i | \(0.583561\pi\) | |||||||
\(548\) | −8.22119 | − | 6.89840i | −0.351192 | − | 0.294685i | ||||
\(549\) | −40.4318 | − | 7.12921i | −1.72559 | − | 0.304267i | ||||
\(550\) | −13.8871 | − | 0.846172i | −0.592147 | − | 0.0360809i | ||||
\(551\) | −5.25743 | − | 2.29730i | −0.223974 | − | 0.0978684i | ||||
\(552\) | 0.353184i | 0.0150325i | ||||||||
\(553\) | 1.22830 | + | 0.216583i | 0.0522327 | + | 0.00921003i | ||||
\(554\) | −5.22708 | + | 6.22939i | −0.222077 | + | 0.264662i | ||||
\(555\) | 0.131633 | + | 0.0479105i | 0.00558751 | + | 0.00203369i | ||||
\(556\) | −5.96664 | − | 16.3932i | −0.253042 | − | 0.695227i | ||||
\(557\) | 5.83473 | + | 6.95356i | 0.247225 | + | 0.294632i | 0.875359 | − | 0.483474i | \(-0.160625\pi\) |
−0.628133 | + | 0.778106i | \(0.716181\pi\) | |||||||
\(558\) | −14.7651 | + | 8.52463i | −0.625056 | + | 0.360876i | ||||
\(559\) | −18.4681 | − | 10.6626i | −0.781119 | − | 0.450980i | ||||
\(560\) | 2.39802 | − | 0.422836i | 0.101335 | − | 0.0178681i | ||||
\(561\) | −0.0694943 | − | 0.608702i | −0.00293405 | − | 0.0256994i | ||||
\(562\) | −7.02861 | + | 12.1739i | −0.296484 | + | 0.513525i | ||||
\(563\) | 13.6114 | + | 23.5756i | 0.573650 | + | 0.993591i | 0.996187 | + | 0.0872454i | \(0.0278064\pi\) |
−0.422537 | + | 0.906346i | \(0.638860\pi\) | |||||||
\(564\) | −0.0846907 | − | 0.100930i | −0.00356612 | − | 0.00424994i | ||||
\(565\) | 2.40847 | + | 6.61723i | 0.101325 | + | 0.278389i | ||||
\(566\) | −8.10894 | + | 22.2791i | −0.340844 | + | 0.936462i | ||||
\(567\) | 15.6719 | − | 18.6770i | 0.658157 | − | 0.784361i | ||||
\(568\) | 11.0091 | + | 1.94119i | 0.461930 | + | 0.0814507i | ||||
\(569\) | 23.1409 | 0.970116 | 0.485058 | − | 0.874482i | \(-0.338798\pi\) | ||||
0.485058 | + | 0.874482i | \(0.338798\pi\) | |||||||
\(570\) | 0.146421 | − | 0.0726724i | 0.00613288 | − | 0.00304391i | ||||
\(571\) | − | 26.8470i | − | 1.12351i | −0.827303 | − | 0.561755i | \(-0.810126\pi\) | ||
0.827303 | − | 0.561755i | \(-0.189874\pi\) | |||||||
\(572\) | −1.75770 | + | 7.32876i | −0.0734932 | + | 0.306431i | ||||
\(573\) | −0.0848563 | + | 0.101128i | −0.00354492 | + | 0.00422467i | ||||
\(574\) | 6.34604 | − | 17.4356i | 0.264878 | − | 0.727747i | ||||
\(575\) | −33.3115 | + | 12.1244i | −1.38918 | + | 0.505622i | ||||
\(576\) | 2.29680 | − | 1.92724i | 0.0956998 | − | 0.0803017i | ||||
\(577\) | 2.75378 | + | 4.76969i | 0.114641 | + | 0.198565i | 0.917636 | − | 0.397421i | \(-0.130095\pi\) |
−0.802995 | + | 0.595986i | \(0.796761\pi\) | |||||||
\(578\) | 1.26756 | − | 2.19548i | 0.0527237 | − | 0.0913201i | ||||
\(579\) | 0.545481 | − | 0.0961830i | 0.0226694 | − | 0.00399723i | ||||
\(580\) | −0.205089 | − | 1.16312i | −0.00851586 | − | 0.0482958i | ||||
\(581\) | −5.58601 | + | 9.67525i | −0.231747 | + | 0.401397i | ||||
\(582\) | −0.215494 | − | 0.373247i | −0.00893253 | − | 0.0154716i | ||||
\(583\) | 12.0492 | + | 16.2758i | 0.499028 | + | 0.674074i | ||||
\(584\) | 1.70612 | + | 4.68753i | 0.0705998 | + | 0.193971i | ||||
\(585\) | 5.74465 | + | 2.09088i | 0.237512 | + | 0.0864473i | ||||
\(586\) | 4.94148 | + | 4.14640i | 0.204131 | + | 0.171286i | ||||
\(587\) | −3.61685 | + | 20.5122i | −0.149284 | + | 0.846629i | 0.814544 | + | 0.580102i | \(0.196987\pi\) |
−0.963827 | + | 0.266527i | \(0.914124\pi\) | |||||||
\(588\) | 0.0152319i | 0.000628154i | ||||||||
\(589\) | −1.55789 | + | 24.7374i | −0.0641919 | + | 1.01929i | ||||
\(590\) | − | 3.21506i | − | 0.132362i | ||||||
\(591\) | 0.0639017 | − | 0.362405i | 0.00262856 | − | 0.0149073i | ||||
\(592\) | 2.40106 | − | 2.86147i | 0.0986829 | − | 0.117606i | ||||
\(593\) | 0.288279 | − | 0.792040i | 0.0118382 | − | 0.0325252i | −0.933633 | − | 0.358232i | \(-0.883380\pi\) |
0.945471 | + | 0.325706i | \(0.105602\pi\) | |||||||
\(594\) | 0.236326 | + | 0.797152i | 0.00969658 | + | 0.0327075i | ||||
\(595\) | −8.24448 | + | 6.91794i | −0.337991 | + | 0.283608i | ||||
\(596\) | −1.17950 | + | 0.680987i | −0.0483144 | + | 0.0278943i | ||||
\(597\) | 0.448462 | + | 0.258920i | 0.0183543 | + | 0.0105969i | ||||
\(598\) | 3.33455 | + | 18.9112i | 0.136360 | + | 0.773336i | ||||
\(599\) | −2.70186 | + | 0.476411i | −0.110395 | + | 0.0194656i | −0.228573 | − | 0.973527i | \(-0.573406\pi\) |
0.118178 | + | 0.992992i | \(0.462295\pi\) | |||||||
\(600\) | −0.151832 | − | 0.0876601i | −0.00619850 | − | 0.00357871i | ||||
\(601\) | 3.59963 | + | 6.23474i | 0.146832 | + | 0.254320i | 0.930055 | − | 0.367421i | \(-0.119759\pi\) |
−0.783223 | + | 0.621741i | \(0.786426\pi\) | |||||||
\(602\) | −19.5092 | + | 16.3701i | −0.795134 | + | 0.667196i | ||||
\(603\) | 10.6010 | + | 29.1261i | 0.431708 | + | 1.18611i | ||||
\(604\) | −19.7662 | − | 7.19432i | −0.804277 | − | 0.292733i | ||||
\(605\) | 6.73474 | + | 7.21548i | 0.273806 | + | 0.293351i | ||||
\(606\) | −0.0630065 | + | 0.357328i | −0.00255946 | + | 0.0145154i | ||||
\(607\) | −10.7816 | −0.437610 | −0.218805 | − | 0.975769i | \(-0.570216\pi\) | ||||
−0.218805 | + | 0.975769i | \(0.570216\pi\) | |||||||
\(608\) | −0.485612 | − | 4.33176i | −0.0196942 | − | 0.175676i | ||||
\(609\) | 0.149288 | 0.00604944 | ||||||||
\(610\) | −12.1000 | − | 2.13356i | −0.489915 | − | 0.0863852i | ||||
\(611\) | −5.48767 | − | 4.60471i | −0.222008 | − | 0.186286i | ||||
\(612\) | −4.53240 | + | 12.4527i | −0.183211 | + | 0.503369i | ||||
\(613\) | −0.979402 | − | 2.69088i | −0.0395577 | − | 0.108684i | 0.918341 | − | 0.395790i | \(-0.129529\pi\) |
−0.957899 | + | 0.287106i | \(0.907307\pi\) | |||||||
\(614\) | 4.80276 | − | 4.02999i | 0.193824 | − | 0.162637i | ||||
\(615\) | 0.222052 | − | 0.128202i | 0.00895400 | − | 0.00516960i | ||||
\(616\) | 7.50653 | + | 4.96599i | 0.302447 | + | 0.200085i | ||||
\(617\) | −1.38194 | − | 7.83734i | −0.0556346 | − | 0.315520i | 0.944272 | − | 0.329165i | \(-0.106767\pi\) |
−0.999907 | + | 0.0136458i | \(0.995656\pi\) | |||||||
\(618\) | 0.103884 | + | 0.589154i | 0.00417882 | + | 0.0236992i | ||||
\(619\) | −14.8469 | + | 25.7156i | −0.596748 | + | 1.03360i | 0.396550 | + | 0.918013i | \(0.370207\pi\) |
−0.993298 | + | 0.115585i | \(0.963126\pi\) | |||||||
\(620\) | −4.41875 | + | 2.55116i | −0.177461 | + | 0.102457i | ||||
\(621\) | 1.36174 | + | 1.62286i | 0.0546446 | + | 0.0651229i | ||||
\(622\) | −24.7114 | + | 8.99420i | −0.990835 | + | 0.360635i | ||||
\(623\) | −21.1221 | − | 7.68783i | −0.846241 | − | 0.308007i | ||||
\(624\) | −0.0610462 | + | 0.0727520i | −0.00244380 | + | 0.00291241i | ||||
\(625\) | 2.35665 | − | 13.3652i | 0.0942658 | − | 0.534608i | ||||
\(626\) | 1.33375 | 0.0533074 | ||||||||
\(627\) | 0.577526 | + | 0.177565i | 0.0230642 | + | 0.00709125i | ||||
\(628\) | 11.4589 | 0.457261 | ||||||||
\(629\) | −2.86691 | + | 16.2590i | −0.114311 | + | 0.648290i | ||||
\(630\) | 4.69286 | − | 5.59273i | 0.186968 | − | 0.222820i | ||||
\(631\) | 13.8465 | + | 5.03971i | 0.551220 | + | 0.200628i | 0.602589 | − | 0.798052i | \(-0.294136\pi\) |
−0.0513683 | + | 0.998680i | \(0.516358\pi\) | |||||||
\(632\) | 0.431886 | − | 0.157194i | 0.0171795 | − | 0.00625282i | ||||
\(633\) | 0.384861 | + | 0.458660i | 0.0152969 | + | 0.0182301i | ||||
\(634\) | 21.5927 | − | 12.4665i | 0.857555 | − | 0.495110i | ||||
\(635\) | 4.69124 | − | 8.12547i | 0.186166 | − | 0.322450i | ||||
\(636\) | 0.0443122 | + | 0.251307i | 0.00175709 | + | 0.00996497i | ||||
\(637\) | 0.143811 | + | 0.815591i | 0.00569798 | + | 0.0323149i | ||||
\(638\) | 2.40866 | − | 3.64091i | 0.0953599 | − | 0.144145i | ||||
\(639\) | 29.0267 | − | 16.7586i | 1.14828 | − | 0.662959i | ||||
\(640\) | 0.687361 | − | 0.576765i | 0.0271703 | − | 0.0227986i | ||||
\(641\) | −0.324060 | − | 0.890348i | −0.0127996 | − | 0.0351666i | 0.933128 | − | 0.359544i | \(-0.117068\pi\) |
−0.945928 | + | 0.324377i | \(0.894845\pi\) | |||||||
\(642\) | 0.267159 | − | 0.734014i | 0.0105439 | − | 0.0289692i | ||||
\(643\) | 33.5989 | + | 28.1928i | 1.32501 | + | 1.11182i | 0.985216 | + | 0.171316i | \(0.0548019\pi\) |
0.339794 | + | 0.940500i | \(0.389643\pi\) | |||||||
\(644\) | 22.5845 | + | 3.98225i | 0.889954 | + | 0.156923i | ||||
\(645\) | −0.351931 | −0.0138573 | ||||||||
\(646\) | 11.4317 | + | 15.5076i | 0.449773 | + | 0.610137i | ||||
\(647\) | −22.4094 | −0.881005 | −0.440503 | − | 0.897751i | \(-0.645200\pi\) | ||||
−0.440503 | + | 0.897751i | \(0.645200\pi\) | |||||||
\(648\) | 1.56010 | − | 8.84779i | 0.0612867 | − | 0.347574i | ||||
\(649\) | 8.17826 | − | 8.62205i | 0.321025 | − | 0.338445i | ||||
\(650\) | −8.95743 | − | 3.26024i | −0.351339 | − | 0.127877i | ||||
\(651\) | −0.220583 | − | 0.606046i | −0.00864532 | − | 0.0237528i | ||||
\(652\) | 3.19514 | − | 2.68104i | 0.125131 | − | 0.104998i | ||||
\(653\) | 15.5562 | + | 26.9442i | 0.608763 | + | 1.05441i | 0.991445 | + | 0.130528i | \(0.0416672\pi\) |
−0.382682 | + | 0.923880i | \(0.624999\pi\) | |||||||
\(654\) | 0.623531 | + | 0.359996i | 0.0243820 | + | 0.0140769i | ||||
\(655\) | −9.09887 | + | 1.60438i | −0.355522 | + | 0.0626882i | ||||
\(656\) | −1.18727 | − | 6.73336i | −0.0463552 | − | 0.262894i | ||||
\(657\) | 12.9526 | + | 7.47819i | 0.505329 | + | 0.291752i | ||||
\(658\) | −7.40895 | + | 4.27756i | −0.288831 | + | 0.166757i | ||||
\(659\) | 4.07825 | − | 3.42206i | 0.158866 | − | 0.133304i | −0.559890 | − | 0.828567i | \(-0.689156\pi\) |
0.718756 | + | 0.695263i | \(0.244712\pi\) | |||||||
\(660\) | 0.0353523 | + | 0.119247i | 0.00137609 | + | 0.00464168i | ||||
\(661\) | 1.14861 | − | 3.15578i | 0.0446758 | − | 0.122746i | −0.915348 | − | 0.402663i | \(-0.868085\pi\) |
0.960024 | + | 0.279917i | \(0.0903070\pi\) | |||||||
\(662\) | 8.72937 | − | 10.4033i | 0.339277 | − | 0.404334i | ||||
\(663\) | 0.0728902 | − | 0.413381i | 0.00283082 | − | 0.0160544i | ||||
\(664\) | 4.11681i | 0.159763i | ||||||||
\(665\) | −2.99613 | − | 10.1823i | −0.116185 | − | 0.394854i | ||||
\(666\) | − | 11.1996i | − | 0.433977i | ||||||
\(667\) | 1.93152 | − | 10.9542i | 0.0747888 | − | 0.424149i | ||||
\(668\) | −3.24289 | − | 2.72111i | −0.125471 | − | 0.105283i | ||||
\(669\) | 0.114396 | + | 0.0416369i | 0.00442282 | + | 0.00160977i | ||||
\(670\) | 3.17257 | + | 8.71657i | 0.122567 | + | 0.336750i | ||||
\(671\) | −27.0223 | − | 36.5010i | −1.04318 | − | 1.40910i | ||||
\(672\) | 0.0567091 | + | 0.0982230i | 0.00218760 | + | 0.00378904i | ||||
\(673\) | −15.1517 | + | 26.2435i | −0.584055 | + | 1.01161i | 0.410937 | + | 0.911664i | \(0.365202\pi\) |
−0.994992 | + | 0.0999498i | \(0.968132\pi\) | |||||||
\(674\) | 5.17611 | + | 29.3552i | 0.199376 | + | 1.13072i | ||||
\(675\) | −1.03564 | + | 0.182611i | −0.0398617 | + | 0.00702870i | ||||
\(676\) | 3.91817 | − | 6.78648i | 0.150699 | − | 0.261018i | ||||
\(677\) | −9.36313 | − | 16.2174i | −0.359854 | − | 0.623286i | 0.628082 | − | 0.778147i | \(-0.283840\pi\) |
−0.987936 | + | 0.154861i | \(0.950507\pi\) | |||||||
\(678\) | −0.251261 | + | 0.210833i | −0.00964963 | + | 0.00809700i | ||||
\(679\) | −26.2972 | + | 9.57140i | −1.00919 | + | 0.367316i | ||||
\(680\) | −1.35641 | + | 3.72670i | −0.0520159 | + | 0.142913i | ||||
\(681\) | 0.524892 | − | 0.625541i | 0.0201139 | − | 0.0239708i | ||||
\(682\) | −18.3396 | − | 4.39849i | −0.702258 | − | 0.168427i | ||||
\(683\) | 4.14767i | 0.158706i | 0.996847 | + | 0.0793531i | \(0.0252854\pi\) | ||||
−0.996847 | + | 0.0793531i | \(0.974715\pi\) | |||||||
\(684\) | −9.46370 | − | 9.01328i | −0.361854 | − | 0.344632i | ||||
\(685\) | −9.62968 | −0.367931 | ||||||||
\(686\) | −17.7337 | − | 3.12692i | −0.677074 | − | 0.119386i | ||||
\(687\) | 0.796095 | − | 0.948749i | 0.0303729 | − | 0.0361970i | ||||
\(688\) | −3.20971 | + | 8.81861i | −0.122369 | + | 0.336206i | ||||
\(689\) | 4.74538 | + | 13.0378i | 0.180785 | + | 0.496702i | ||||
\(690\) | 0.203704 | + | 0.242765i | 0.00775488 | + | 0.00924191i | ||||
\(691\) | 7.07991 | + | 12.2628i | 0.269332 | + | 0.466497i | 0.968690 | − | 0.248275i | \(-0.0798636\pi\) |
−0.699357 | + | 0.714772i | \(0.746530\pi\) | |||||||
\(692\) | −7.82431 | + | 13.5521i | −0.297436 | + | 0.515174i | ||||
\(693\) | 26.8116 | − | 3.06103i | 1.01849 | − | 0.116279i | ||||
\(694\) | 6.29926 | − | 1.11073i | 0.239117 | − | 0.0421627i | ||||
\(695\) | −13.5563 | − | 7.82671i | −0.514218 | − | 0.296884i | ||||
\(696\) | 0.0476414 | − | 0.0275058i | 0.00180584 | − | 0.00104260i | ||||
\(697\) | 19.4248 | + | 23.1496i | 0.735766 | + | 0.876852i | ||||
\(698\) | 1.39522 | + | 3.83334i | 0.0528100 | + | 0.145094i | ||||
\(699\) | 0.616310 | + | 0.224318i | 0.0233110 | + | 0.00848450i | ||||
\(700\) | −7.31740 | + | 8.72054i | −0.276572 | + | 0.329606i | ||||
\(701\) | 49.9111 | + | 8.80067i | 1.88512 | + | 0.332397i | 0.992875 | − | 0.119162i | \(-0.0380207\pi\) |
0.892241 | + | 0.451559i | \(0.149132\pi\) | |||||||
\(702\) | 0.569660i | 0.0215004i | ||||||||
\(703\) | −13.5612 | − | 9.01126i | −0.511470 | − | 0.339866i | ||||
\(704\) | 3.31048 | + | 0.201716i | 0.124769 | + | 0.00760244i | ||||
\(705\) | −0.116426 | − | 0.0205291i | −0.00438487 | − | 0.000773170i | ||||
\(706\) | −12.2893 | − | 10.3119i | −0.462512 | − | 0.388094i | ||||
\(707\) | 22.1390 | + | 8.05795i | 0.832624 | + | 0.303050i | ||||
\(708\) | 0.140720 | − | 0.0512179i | 0.00528858 | − | 0.00192489i | ||||
\(709\) | 5.36413 | − | 4.50104i | 0.201454 | − | 0.169040i | −0.536480 | − | 0.843913i | \(-0.680246\pi\) |
0.737934 | + | 0.674873i | \(0.235802\pi\) | |||||||
\(710\) | 8.68681 | − | 5.01533i | 0.326010 | − | 0.188222i | ||||
\(711\) | 0.689003 | − | 1.19339i | 0.0258396 | − | 0.0447556i | ||||
\(712\) | −8.15706 | + | 1.43831i | −0.305699 | + | 0.0539029i | ||||
\(713\) | −47.3236 | + | 8.34442i | −1.77228 | + | 0.312501i | ||||
\(714\) | −0.434132 | − | 0.250646i | −0.0162470 | − | 0.00938019i | ||||
\(715\) | 3.01879 | + | 6.05128i | 0.112896 | + | 0.226305i | ||||
\(716\) | −16.4519 | − | 19.6066i | −0.614837 | − | 0.732734i | ||||
\(717\) | −0.419787 | + | 0.152790i | −0.0156772 | + | 0.00570604i | ||||
\(718\) | −8.99819 | + | 24.7223i | −0.335810 | + | 0.922629i | ||||
\(719\) | 27.8373 | + | 23.3582i | 1.03815 | + | 0.871115i | 0.991799 | − | 0.127810i | \(-0.0407948\pi\) |
0.0463556 | + | 0.998925i | \(0.485239\pi\) | |||||||
\(720\) | 0.467164 | − | 2.64942i | 0.0174102 | − | 0.0987381i | ||||
\(721\) | 38.8450 | 1.44666 | ||||||||
\(722\) | −18.5284 | + | 4.20711i | −0.689554 | + | 0.156573i | ||||
\(723\) | 0.893219i | 0.0332192i | ||||||||
\(724\) | 16.2432 | + | 2.86412i | 0.603675 | + | 0.106444i | ||||
\(725\) | 4.22975 | + | 3.54918i | 0.157089 | + | 0.131813i | ||||
\(726\) | −0.208526 | + | 0.409720i | −0.00773913 | + | 0.0152061i | ||||
\(727\) | −22.1181 | + | 8.05032i | −0.820314 | + | 0.298570i | −0.717877 | − | 0.696170i | \(-0.754886\pi\) |
−0.102437 | + | 0.994740i | \(0.532664\pi\) | |||||||
\(728\) | 3.96384 | + | 4.72392i | 0.146910 | + | 0.175080i | ||||
\(729\) | −13.4529 | − | 23.3010i | −0.498254 | − | 0.863001i | ||||
\(730\) | 3.87632 | + | 2.23800i | 0.143469 | + | 0.0828320i | ||||
\(731\) | −7.20265 | − | 40.8483i | −0.266400 | − | 1.51083i | ||||
\(732\) | −0.0993770 | − | 0.563595i | −0.00367308 | − | 0.0208311i | ||||
\(733\) | 36.3907 | + | 21.0102i | 1.34412 | + | 0.776028i | 0.987409 | − | 0.158187i | \(-0.0505648\pi\) |
0.356711 | + | 0.934215i | \(0.383898\pi\) | |||||||
\(734\) | −3.59399 | − | 6.22497i | −0.132657 | − | 0.229768i | ||||
\(735\) | 0.00878523 | + | 0.0104698i | 0.000324048 | + | 0.000386186i | ||||
\(736\) | 7.94098 | − | 2.89028i | 0.292709 | − | 0.106537i | ||||
\(737\) | −13.6646 | + | 31.4461i | −0.503340 | + | 1.15833i | ||||
\(738\) | −15.7037 | − | 13.1770i | −0.578062 | − | 0.485052i | ||||
\(739\) | 30.8141 | + | 5.43336i | 1.13352 | + | 0.199869i | 0.708768 | − | 0.705442i | \(-0.249251\pi\) |
0.424748 | + | 0.905311i | \(0.360363\pi\) | |||||||
\(740\) | − | 3.35171i | − | 0.123211i | ||||||
\(741\) | 0.344789 | + | 0.229108i | 0.0126662 | + | 0.00841651i | ||||
\(742\) | 16.5696 | 0.608288 | ||||||||
\(743\) | −8.87782 | + | 50.3486i | −0.325696 | + | 1.84711i | 0.179046 | + | 0.983841i | \(0.442699\pi\) |
−0.504741 | + | 0.863271i | \(0.668412\pi\) | |||||||
\(744\) | −0.182055 | − | 0.152763i | −0.00667448 | − | 0.00560055i | ||||
\(745\) | −0.417976 | + | 1.14838i | −0.0153135 | + | 0.0420734i | ||||
\(746\) | 22.5385 | − | 8.20334i | 0.825193 | − | 0.300346i | ||||
\(747\) | 7.93409 | + | 9.45548i | 0.290293 | + | 0.345958i | ||||
\(748\) | −13.1173 | + | 6.54382i | −0.479618 | + | 0.239266i | ||||
\(749\) | −43.9245 | − | 25.3598i | −1.60497 | − | 0.926628i | ||||
\(750\) | −0.339579 | + | 0.0598770i | −0.0123997 | + | 0.00218640i | ||||
\(751\) | −47.5223 | + | 8.37947i | −1.73411 | + | 0.305771i | −0.949396 | − | 0.314081i | \(-0.898304\pi\) |
−0.784718 | + | 0.619852i | \(0.787192\pi\) | |||||||
\(752\) | −1.57625 | + | 2.73015i | −0.0574800 | + | 0.0995583i | ||||
\(753\) | −0.100927 | + | 0.0582703i | −0.00367799 | + | 0.00212349i | ||||
\(754\) | 2.29126 | − | 1.92259i | 0.0834426 | − | 0.0700167i | ||||
\(755\) | −17.7360 | + | 6.45537i | −0.645478 | + | 0.234935i | ||||
\(756\) | 0.639283 | + | 0.232680i | 0.0232505 | + | 0.00846249i | ||||
\(757\) | −20.6895 | − | 17.3606i | −0.751974 | − | 0.630981i | 0.184050 | − | 0.982917i | \(-0.441079\pi\) |
−0.936024 | + | 0.351935i | \(0.885524\pi\) | |||||||
\(758\) | −24.8575 | − | 4.38305i | −0.902865 | − | 0.159199i | ||||
\(759\) | −0.0712427 | + | 1.16921i | −0.00258595 | + | 0.0424396i | ||||
\(760\) | −2.83220 | − | 2.69740i | −0.102735 | − | 0.0978451i | ||||
\(761\) | − | 39.2062i | − | 1.42122i | −0.703584 | − | 0.710612i | \(-0.748418\pi\) | ||
0.703584 | − | 0.710612i | \(-0.251582\pi\) | |||||||
\(762\) | 0.430379 | + | 0.0758874i | 0.0155910 | + | 0.00274911i | ||||
\(763\) | 30.0506 | − | 35.8129i | 1.08790 | − | 1.29651i | ||||
\(764\) | 2.96818 | + | 1.08033i | 0.107385 | + | 0.0390849i | ||||
\(765\) | 4.06686 | + | 11.1736i | 0.147038 | + | 0.403983i | ||||
\(766\) | −10.5292 | − | 12.5482i | −0.380435 | − | 0.453384i | ||||
\(767\) | 7.05126 | − | 4.07105i | 0.254606 | − | 0.146997i | ||||
\(768\) | 0.0361945 | + | 0.0208969i | 0.00130606 | + | 0.000754053i | ||||
\(769\) | 34.2081 | − | 6.03180i | 1.23357 | − | 0.217512i | 0.481414 | − | 0.876493i | \(-0.340123\pi\) |
0.752160 | + | 0.658981i | \(0.229012\pi\) | |||||||
\(770\) | 8.02390 | − | 0.916073i | 0.289161 | − | 0.0330130i | ||||
\(771\) | −0.125686 | + | 0.217695i | −0.00452648 | + | 0.00784010i | ||||
\(772\) | −6.62652 | − | 11.4775i | −0.238494 | − | 0.413083i | ||||
\(773\) | −20.6616 | − | 24.6235i | −0.743146 | − | 0.885647i | 0.253512 | − | 0.967332i | \(-0.418414\pi\) |
−0.996658 | + | 0.0816850i | \(0.973970\pi\) | |||||||
\(774\) | 9.62352 | + | 26.4404i | 0.345910 | + | 0.950381i | ||||
\(775\) | 8.15846 | − | 22.4152i | 0.293061 | − | 0.805177i | ||||
\(776\) | −6.62859 | + | 7.89964i | −0.237952 | + | 0.283581i | ||||
\(777\) | 0.417224 | + | 0.0735679i | 0.0149678 | + | 0.00263923i | ||||
\(778\) | 11.0925 | 0.397684 | ||||||||
\(779\) | −28.5908 | + | 8.41279i | −1.02437 | + | 0.301420i | ||||
\(780\) | 0.0852162i | 0.00305123i | ||||||||
\(781\) | 36.0537 | + | 8.64699i | 1.29010 | + | 0.309414i | ||||
\(782\) | −24.0085 | + | 28.6122i | −0.858540 | + | 1.02317i | ||||
\(783\) | 0.112857 | − | 0.310073i | 0.00403319 | − | 0.0110811i | ||||
\(784\) | 0.342474 | − | 0.124650i | 0.0122312 | − | 0.00445180i | ||||
\(785\) | 7.87642 | − | 6.60910i | 0.281121 | − | 0.235889i | ||||
\(786\) | −0.215173 | − | 0.372690i | −0.00767496 | − | 0.0132934i | ||||
\(787\) | 11.0447 | − | 19.1301i | 0.393703 | − | 0.681913i | −0.599232 | − | 0.800576i | \(-0.704527\pi\) |
0.992935 | + | 0.118662i | \(0.0378606\pi\) | |||||||
\(788\) | −8.67124 | + | 1.52897i | −0.308900 | + | 0.0544674i | ||||
\(789\) | −0.138747 | − | 0.786872i | −0.00493951 | − | 0.0280134i | ||||
\(790\) | 0.206198 | − | 0.357145i | 0.00733619 | − | 0.0127067i | ||||
\(791\) | 10.6488 | + | 18.4442i | 0.378627 | + | 0.655800i | ||||
\(792\) | 7.99226 | − | 5.91680i | 0.283993 | − | 0.210244i | ||||
\(793\) | −10.6422 | − | 29.2393i | −0.377917 | − | 1.03832i | ||||
\(794\) | 0.730668 | + | 0.265942i | 0.0259304 | + | 0.00943791i | ||||
\(795\) | 0.175404 | + | 0.147181i | 0.00622092 | + | 0.00521997i | ||||
\(796\) | 2.15156 | − | 12.2021i | 0.0762599 | − | 0.432491i | ||||
\(797\) | − | 1.39103i | − | 0.0492729i | −0.999696 | − | 0.0246365i | \(-0.992157\pi\) | ||
0.999696 | − | 0.0246365i | \(-0.00784282\pi\) | |||||||
\(798\) | 0.397940 | − | 0.293349i | 0.0140869 | − | 0.0103844i | ||||
\(799\) | − | 13.9336i | − | 0.492936i | ||||||
\(800\) | −0.728433 | + | 4.13115i | −0.0257540 | + | 0.146058i | ||||
\(801\) | −15.9631 | + | 19.0241i | −0.564029 | + | 0.672184i | ||||
\(802\) | −0.496605 | + | 1.36441i | −0.0175357 | + | 0.0481790i | ||||
\(803\) | 4.70254 | + | 15.8622i | 0.165949 | + | 0.559763i | ||||
\(804\) | −0.330975 | + | 0.277721i | −0.0116726 | + | 0.00979446i | ||||
\(805\) | 17.8205 | − | 10.2887i | 0.628091 | − | 0.362628i | ||||
\(806\) | −11.1904 | − | 6.46079i | −0.394166 | − | 0.227572i | ||||
\(807\) | −0.0588253 | − | 0.333615i | −0.00207075 | − | 0.0117438i | ||||
\(808\) | 8.54976 | − | 1.50755i | 0.300780 | − | 0.0530356i | ||||
\(809\) | −38.9419 | − | 22.4831i | −1.36913 | − | 0.790465i | −0.378309 | − | 0.925679i | \(-0.623494\pi\) |
−0.990816 | + | 0.135214i | \(0.956828\pi\) | |||||||
\(810\) | −4.03074 | − | 6.98144i | −0.141626 | − | 0.245303i | ||||
\(811\) | 17.7897 | − | 14.9274i | 0.624683 | − | 0.524171i | −0.274589 | − | 0.961562i | \(-0.588542\pi\) |
0.899272 | + | 0.437391i | \(0.144097\pi\) | |||||||
\(812\) | −1.22170 | − | 3.35658i | −0.0428731 | − | 0.117793i | ||||
\(813\) | 0.393635 | + | 0.143271i | 0.0138054 | + | 0.00502474i | ||||
\(814\) | 8.52587 | − | 8.98853i | 0.298832 | − | 0.315048i | ||||
\(815\) | 0.649885 | − | 3.68568i | 0.0227645 | − | 0.129104i | ||||
\(816\) | −0.184723 | −0.00646659 | ||||||||
\(817\) | 39.7588 | + | 9.62129i | 1.39098 | + | 0.336606i | ||||
\(818\) | 9.81017 | 0.343005 | ||||||||
\(819\) | 18.2083 | + | 3.21061i | 0.636248 | + | 0.112188i | ||||
\(820\) | −4.69965 | − | 3.94348i | −0.164119 | − | 0.137712i | ||||
\(821\) | 1.75730 | − | 4.82815i | 0.0613302 | − | 0.168503i | −0.905243 | − | 0.424894i | \(-0.860311\pi\) |
0.966573 | + | 0.256391i | \(0.0825335\pi\) | |||||||
\(822\) | −0.153407 | − | 0.421482i | −0.00535068 | − | 0.0147009i | ||||
\(823\) | 13.7954 | − | 11.5758i | 0.480879 | − | 0.403505i | −0.369865 | − | 0.929085i | \(-0.620596\pi\) |
0.850744 | + | 0.525580i | \(0.176152\pi\) | |||||||
\(824\) | 12.3964 | − | 7.15706i | 0.431849 | − | 0.249328i | ||||
\(825\) | −0.484954 | − | 0.320824i | −0.0168839 | − | 0.0111697i | ||||
\(826\) | −1.68849 | − | 9.57589i | −0.0587500 | − | 0.333188i | ||||
\(827\) | −6.60225 | − | 37.4432i | −0.229583 | − | 1.30203i | −0.853728 | − | 0.520719i | \(-0.825664\pi\) |
0.624145 | − | 0.781308i | \(-0.285447\pi\) | |||||||
\(828\) | 12.6685 | − | 21.9426i | 0.440262 | − | 0.762557i | ||||
\(829\) | 45.1458 | − | 26.0649i | 1.56798 | − | 0.905272i | 0.571572 | − | 0.820552i | \(-0.306334\pi\) |
0.996405 | − | 0.0847203i | \(-0.0269997\pi\) | |||||||
\(830\) | 2.37443 | + | 2.82974i | 0.0824177 | + | 0.0982216i | ||||
\(831\) | −0.319367 | + | 0.116240i | −0.0110787 | + | 0.00403232i | ||||
\(832\) | 2.13533 | + | 0.777195i | 0.0740291 | + | 0.0269444i | ||||
\(833\) | −1.03542 | + | 1.23397i | −0.0358753 | + | 0.0427545i | ||||
\(834\) | 0.126608 | − | 0.718029i | 0.00438407 | − | 0.0248633i | ||||
\(835\) | −3.79848 | −0.131452 | ||||||||
\(836\) | −0.733827 | − | 14.4382i | −0.0253799 | − | 0.499355i | ||||
\(837\) | −1.42552 | −0.0492733 | ||||||||
\(838\) | −6.01013 | + | 34.0852i | −0.207617 | + | 1.17745i | ||||
\(839\) | −14.0082 | + | 16.6943i | −0.483615 | + | 0.576350i | −0.951582 | − | 0.307396i | \(-0.900542\pi\) |
0.467966 | + | 0.883746i | \(0.344987\pi\) | |||||||
\(840\) | 0.0956312 | + | 0.0348069i | 0.00329959 | + | 0.00120095i | ||||
\(841\) | 25.6230 | − | 9.32602i | 0.883553 | − | 0.321587i | ||||
\(842\) | 8.40885 | + | 10.0213i | 0.289788 | + | 0.345356i | ||||
\(843\) | −0.508795 | + | 0.293753i | −0.0175238 | + | 0.0101174i | ||||
\(844\) | 7.16299 | − | 12.4067i | 0.246560 | − | 0.427055i | ||||
\(845\) | −1.22100 | − | 6.92462i | −0.0420036 | − | 0.238214i | ||||
\(846\) | 1.64132 | + | 9.30841i | 0.0564299 | + | 0.320030i | ||||
\(847\) | 23.8485 | + | 17.9540i | 0.819445 | + | 0.616907i | ||||
\(848\) | 5.28776 | − | 3.05289i | 0.181582 | − | 0.104837i | ||||
\(849\) | −0.759065 | + | 0.636931i | −0.0260510 | + | 0.0218594i | ||||
\(850\) | −6.34131 | − | 17.4226i | −0.217505 | − | 0.597591i | ||||
\(851\) | 10.7963 | − | 29.6626i | 0.370093 | − | 1.01682i | ||||
\(852\) | 0.357903 | + | 0.300316i | 0.0122615 | + | 0.0102887i | ||||
\(853\) | 49.6597 | + | 8.75635i | 1.70032 | + | 0.299812i | 0.937805 | − | 0.347163i | \(-0.112855\pi\) |
0.762512 | + | 0.646974i | \(0.223966\pi\) | |||||||
\(854\) | −37.1598 | −1.27158 | ||||||||
\(855\) | −11.7035 | − | 0.737055i | −0.400252 | − | 0.0252068i | ||||
\(856\) | −18.6899 | −0.638806 | ||||||||
\(857\) | 7.93738 | − | 45.0151i | 0.271136 | − | 1.53769i | −0.479840 | − | 0.877356i | \(-0.659305\pi\) |
0.750975 | − | 0.660330i | \(-0.229584\pi\) | |||||||
\(858\) | −0.216768 | + | 0.228530i | −0.00740033 | + | 0.00780190i | ||||
\(859\) | −21.6671 | − | 7.88619i | −0.739273 | − | 0.269073i | −0.0551884 | − | 0.998476i | \(-0.517576\pi\) |
−0.684085 | + | 0.729403i | \(0.739798\pi\) | |||||||
\(860\) | 2.88003 | + | 7.91282i | 0.0982082 | + | 0.269825i | ||||
\(861\) | 0.594042 | − | 0.498461i | 0.0202449 | − | 0.0169875i | ||||
\(862\) | 9.41156 | + | 16.3013i | 0.320559 | + | 0.555224i | ||||
\(863\) | 20.1318 | + | 11.6231i | 0.685295 | + | 0.395655i | 0.801847 | − | 0.597529i | \(-0.203851\pi\) |
−0.116552 | + | 0.993185i | \(0.537184\pi\) | |||||||
\(864\) | 0.246882 | − | 0.0435319i | 0.00839908 | − | 0.00148098i | ||||
\(865\) | 2.43824 | + | 13.8280i | 0.0829028 | + | 0.470165i | ||||
\(866\) | −24.7514 | − | 14.2902i | −0.841086 | − | 0.485601i | ||||
\(867\) | 0.0917577 | − | 0.0529764i | 0.00311626 | − | 0.00179917i | ||||
\(868\) | −11.8212 | + | 9.91916i | −0.401238 | + | 0.336678i | ||||
\(869\) | 1.46146 | − | 0.433269i | 0.0495766 | − | 0.0146976i | ||||
\(870\) | 0.0168825 | − | 0.0463842i | 0.000572370 | − | 0.00157257i | ||||
\(871\) | −15.0999 | + | 17.9954i | −0.511641 | + | 0.609750i | ||||
\(872\) | 2.99147 | − | 16.9655i | 0.101304 | − | 0.574524i | ||||
\(873\) | 30.9187i | 1.04644i | ||||||||
\(874\) | −16.3763 | − | 32.9949i | −0.553935 | − | 1.11607i | ||||
\(875\) | 22.3896i | 0.756908i | ||||||||
\(876\) | −0.0362027 | + | 0.205316i | −0.00122318 | + | 0.00693698i | ||||
\(877\) | −3.92886 | − | 3.29670i | −0.132668 | − | 0.111322i | 0.574039 | − | 0.818828i | \(-0.305376\pi\) |
−0.706707 | + | 0.707506i | \(0.749820\pi\) | |||||||
\(878\) | −27.7097 | − | 10.0855i | −0.935158 | − | 0.340370i | ||||
\(879\) | 0.0922078 | + | 0.253339i | 0.00311009 | + | 0.00854491i | ||||
\(880\) | 2.39184 | − | 1.77072i | 0.0806290 | − | 0.0596909i | ||||
\(881\) | −23.0524 | − | 39.9279i | −0.776654 | − | 1.34520i | −0.933860 | − | 0.357638i | \(-0.883582\pi\) |
0.157206 | − | 0.987566i | \(-0.449751\pi\) | |||||||
\(882\) | 0.546362 | − | 0.946327i | 0.0183970 | − | 0.0318645i | ||||
\(883\) | −2.74441 | − | 15.5643i | −0.0923566 | − | 0.523780i | −0.995525 | − | 0.0944947i | \(-0.969876\pi\) |
0.903169 | − | 0.429286i | \(-0.141235\pi\) | |||||||
\(884\) | −9.89095 | + | 1.74404i | −0.332669 | + | 0.0586585i | ||||
\(885\) | 0.0671848 | − | 0.116367i | 0.00225839 | − | 0.00391165i | ||||
\(886\) | −6.65439 | − | 11.5257i | −0.223559 | − | 0.387215i | ||||
\(887\) | 27.8260 | − | 23.3488i | 0.934306 | − | 0.783976i | −0.0422796 | − | 0.999106i | \(-0.513462\pi\) |
0.976585 | + | 0.215130i | \(0.0690176\pi\) | |||||||
\(888\) | 0.146701 | − | 0.0533949i | 0.00492297 | − | 0.00179181i | ||||
\(889\) | 9.70530 | − | 26.6651i | 0.325505 | − | 0.894319i | ||||
\(890\) | −4.77728 | + | 5.69334i | −0.160135 | + | 0.190841i | ||||
\(891\) | 6.94944 | − | 28.9758i | 0.232815 | − | 0.970725i | ||||
\(892\) | − | 2.91282i | − | 0.0975285i | ||||||
\(893\) | 12.5918 | + | 5.50216i | 0.421369 | + | 0.184123i | ||||
\(894\) | −0.0569222 | −0.00190376 | ||||||||
\(895\) | −22.6168 | − | 3.98795i | −0.755997 | − | 0.133303i | ||||
\(896\) | 1.74437 | − | 2.07886i | 0.0582752 | − | 0.0694497i | ||||
\(897\) | −0.274493 | + | 0.754163i | −0.00916505 | + | 0.0251808i | ||||
\(898\) | 8.83537 | + | 24.2750i | 0.294840 | + | 0.810066i | ||||
\(899\) | 4.81112 | + | 5.73366i | 0.160460 | + | 0.191228i | ||||
\(900\) | 6.28865 | + | 10.8923i | 0.209622 | + | 0.363076i | ||||
\(901\) | −13.4933 | + | 23.3711i | −0.449528 | + | 0.778605i | ||||
\(902\) | −2.57223 | − | 22.5302i | −0.0856458 | − | 0.750173i | ||||
\(903\) | −1.04821 | + | 0.184828i | −0.0348823 | + | 0.00615068i | ||||
\(904\) | 6.79657 | + | 3.92400i | 0.226051 | + | 0.130510i | ||||
\(905\) | 12.8169 | − | 7.39983i | 0.426048 | − | 0.245979i | ||||
\(906\) | −0.565091 | − | 0.673449i | −0.0187739 | − | 0.0223738i | ||||
\(907\) | 13.8719 | + | 38.1127i | 0.460608 | + | 1.26551i | 0.925029 | + | 0.379896i | \(0.124040\pi\) |
−0.464421 | + | 0.885614i | \(0.653738\pi\) | |||||||
\(908\) | −18.3601 | − | 6.68254i | −0.609302 | − | 0.221768i | ||||
\(909\) | 16.7316 | − | 19.9400i | 0.554953 | − | 0.661368i | ||||
\(910\) | 5.44918 | + | 0.960838i | 0.180639 | + | 0.0318515i | ||||
\(911\) | − | 10.9703i | − | 0.363462i | −0.983348 | − | 0.181731i | \(-0.941830\pi\) | ||
0.983348 | − | 0.181731i | \(-0.0581701\pi\) | |||||||
\(912\) | 0.0729441 | − | 0.166934i | 0.00241542 | − | 0.00552774i | ||||
\(913\) | −0.830426 | + | 13.6286i | −0.0274831 | + | 0.451042i | ||||
\(914\) | −13.1393 | − | 2.31681i | −0.434609 | − | 0.0766334i | ||||
\(915\) | −0.393369 | − | 0.330076i | −0.0130044 | − | 0.0109120i | ||||
\(916\) | −27.8465 | − | 10.1353i | −0.920074 | − | 0.334880i | ||||
\(917\) | −26.2580 | + | 9.55712i | −0.867114 | + | 0.315604i | ||||
\(918\) | −0.848788 | + | 0.712218i | −0.0280142 | + | 0.0235067i | ||||
\(919\) | −7.67319 | + | 4.43012i | −0.253115 | + | 0.146136i | −0.621190 | − | 0.783660i | \(-0.713350\pi\) |
0.368075 | + | 0.929796i | \(0.380017\pi\) | |||||||
\(920\) | 3.79131 | − | 6.56675i | 0.124996 | − | 0.216499i | ||||
\(921\) | 0.258048 | − | 0.0455009i | 0.00850298 | − | 0.00149930i | ||||
\(922\) | −2.59659 | + | 0.457849i | −0.0855142 | + | 0.0150785i | ||||
\(923\) | 21.9992 | + | 12.7013i | 0.724114 | + | 0.418067i | ||||
\(924\) | 0.167922 | + | 0.336605i | 0.00552421 | + | 0.0110735i | ||||
\(925\) | 10.0721 | + | 12.0035i | 0.331170 | + | 0.394673i | ||||
\(926\) | −10.0527 | + | 3.65889i | −0.330352 | + | 0.120238i | ||||
\(927\) | 14.6786 | − | 40.3291i | 0.482109 | − | 1.32458i | ||||
\(928\) | −1.00831 | − | 0.846074i | −0.0330995 | − | 0.0277737i | ||||
\(929\) | −8.05772 | + | 45.6976i | −0.264365 | + | 1.49929i | 0.506472 | + | 0.862256i | \(0.330949\pi\) |
−0.770837 | + | 0.637032i | \(0.780162\pi\) | |||||||
\(930\) | −0.213246 | −0.00699261 | ||||||||
\(931\) | −0.706266 | − | 1.42299i | −0.0231469 | − | 0.0466365i | ||||
\(932\) | − | 15.6928i | − | 0.514035i | ||||||
\(933\) | −1.08237 | − | 0.190851i | −0.0354351 | − | 0.00624817i | ||||
\(934\) | 9.13329 | + | 7.66374i | 0.298850 | + | 0.250765i | ||||
\(935\) | −5.24211 | + | 12.0636i | −0.171435 | + | 0.394522i | ||||
\(936\) | 6.40225 | − | 2.33023i | 0.209264 | − | 0.0761659i | ||||
\(937\) | 7.76961 | + | 9.25946i | 0.253822 | + | 0.302493i | 0.877876 | − | 0.478888i | \(-0.158960\pi\) |
−0.624054 | + | 0.781381i | \(0.714516\pi\) | |||||||
\(938\) | 14.0271 | + | 24.2957i | 0.458002 | + | 0.793283i | ||||
\(939\) | 0.0482745 | + | 0.0278713i | 0.00157538 | + | 0.000909545i | ||||
\(940\) | 0.491199 | + | 2.78573i | 0.0160211 | + | 0.0908604i | ||||
\(941\) | −1.37165 | − | 7.77899i | −0.0447144 | − | 0.253588i | 0.954254 | − | 0.298997i | \(-0.0966520\pi\) |
−0.998968 | + | 0.0454090i | \(0.985541\pi\) | |||||||
\(942\) | 0.414750 | + | 0.239456i | 0.0135133 | + | 0.00780191i | ||||
\(943\) | −28.8894 | − | 50.0380i | −0.940770 | − | 1.62946i | ||||
\(944\) | −2.30316 | − | 2.74480i | −0.0749616 | − | 0.0893358i | ||||
\(945\) | 0.573620 | − | 0.208781i | 0.0186599 | − | 0.00679164i | ||||
\(946\) | −12.4045 | + | 28.5464i | −0.403307 | + | 0.928124i | ||||
\(947\) | −26.5533 | − | 22.2808i | −0.862865 | − | 0.724030i | 0.0997180 | − | 0.995016i | \(-0.468206\pi\) |
−0.962583 | + | 0.270986i | \(0.912650\pi\) | |||||||
\(948\) | 0.0189168 | + | 0.00333554i | 0.000614388 | + | 0.000108333i | ||||
\(949\) | 11.3354i | 0.367963i | ||||||||
\(950\) | 18.2489 | + | 1.14926i | 0.592072 | + | 0.0372870i | ||||
\(951\) | 1.04205 | 0.0337908 | ||||||||
\(952\) | −2.08280 | + | 11.8122i | −0.0675041 | + | 0.382835i | ||||
\(953\) | 5.21285 | + | 4.37410i | 0.168861 | + | 0.141691i | 0.723302 | − | 0.690532i | \(-0.242623\pi\) |
−0.554441 | + | 0.832223i | \(0.687068\pi\) | |||||||
\(954\) | 6.26125 | − | 17.2026i | 0.202715 | − | 0.556956i | ||||
\(955\) | 2.66330 | − | 0.969364i | 0.0861825 | − | 0.0313679i | ||||
\(956\) | 6.87065 | + | 8.18812i | 0.222213 | + | 0.264823i | ||||
\(957\) | 0.163264 | − | 0.0814474i | 0.00527759 | − | 0.00263282i | ||||
\(958\) | 2.31982 | + | 1.33935i | 0.0749501 | + | 0.0432724i | ||||
\(959\) | −28.6815 | + | 5.05733i | −0.926175 | + | 0.163310i | ||||
\(960\) | 0.0369313 | − | 0.00651199i | 0.00119195 | − | 0.000210174i | ||||
\(961\) | 0.667568 | − | 1.15626i | 0.0215344 | − | 0.0372987i | ||||
\(962\) | 7.35097 | − | 4.24408i | 0.237005 | − | 0.136835i | ||||
\(963\) | −42.9268 | + | 36.0198i | −1.38330 | + | 1.16072i | ||||
\(964\) | 20.0831 | − | 7.30966i | 0.646834 | − | 0.235428i | ||||
\(965\) | −11.1746 | − | 4.06722i | −0.359723 | − | 0.130929i | ||||
\(966\) | 0.734218 | + | 0.616082i | 0.0236231 | + | 0.0198221i | ||||
\(967\) | −28.8207 | − | 5.08187i | −0.926811 | − | 0.163422i | −0.310183 | − | 0.950677i | \(-0.600390\pi\) |
−0.616628 | + | 0.787255i | \(0.711502\pi\) | |||||||
\(968\) | 10.9186 | + | 1.33555i | 0.350938 | + | 0.0429263i | ||||
\(969\) | 0.0897036 | + | 0.800176i | 0.00288170 | + | 0.0257053i | ||||
\(970\) | 9.25304i | 0.297097i | ||||||||
\(971\) | 5.96777 | + | 1.05228i | 0.191515 | + | 0.0337693i | 0.268583 | − | 0.963257i | \(-0.413445\pi\) |
−0.0770678 | + | 0.997026i | \(0.524556\pi\) | |||||||
\(972\) | 0.724781 | − | 0.863760i | 0.0232473 | − | 0.0277051i | ||||
\(973\) | −44.4871 | − | 16.1920i | −1.42619 | − | 0.519091i | ||||
\(974\) | −7.76429 | − | 21.3322i | −0.248784 | − | 0.683528i | ||||
\(975\) | −0.256081 | − | 0.305186i | −0.00820116 | − | 0.00977377i | ||||
\(976\) | −11.8586 | + | 6.84657i | −0.379585 | + | 0.219153i | ||||
\(977\) | 19.3855 | + | 11.1922i | 0.620197 | + | 0.358071i | 0.776946 | − | 0.629568i | \(-0.216768\pi\) |
−0.156749 | + | 0.987638i | \(0.550101\pi\) | |||||||
\(978\) | 0.171672 | − | 0.0302704i | 0.00548946 | − | 0.000967940i | ||||
\(979\) | −27.2939 | + | 3.11609i | −0.872318 | + | 0.0995908i | ||||
\(980\) | 0.163510 | − | 0.283207i | 0.00522312 | − | 0.00904671i | ||||
\(981\) | −25.8258 | − | 44.7315i | −0.824553 | − | 1.42817i | ||||
\(982\) | 6.33654 | + | 7.55159i | 0.202207 | + | 0.240981i | ||||
\(983\) | −0.00764237 | − | 0.0209972i | −0.000243754 | − | 0.000669708i | 0.939571 | − | 0.342355i | \(-0.111225\pi\) |
−0.939814 | + | 0.341685i | \(0.889002\pi\) | |||||||
\(984\) | 0.0977338 | − | 0.268521i | 0.00311564 | − | 0.00856015i | ||||
\(985\) | −5.07842 | + | 6.05222i | −0.161812 | + | 0.192840i | ||||
\(986\) | 5.72929 | + | 1.01023i | 0.182458 | + | 0.0321722i | ||||
\(987\) | −0.357551 | −0.0113810 | ||||||||
\(988\) | 2.32969 | − | 9.62715i | 0.0741172 | − | 0.306280i | ||||
\(989\) | 79.3054i | 2.52176i | ||||||||
\(990\) | 2.08097 | − | 8.67663i | 0.0661376 | − | 0.275761i | ||||
\(991\) | 3.71487 | − | 4.42721i | 0.118007 | − | 0.140635i | −0.703807 | − | 0.710391i | \(-0.748518\pi\) |
0.821814 | + | 0.569756i | \(0.192962\pi\) | |||||||
\(992\) | −1.94486 | + | 5.34347i | −0.0617495 | + | 0.169655i | ||||
\(993\) | 0.533352 | − | 0.194124i | 0.0169254 | − | 0.00616035i | ||||
\(994\) | 23.2393 | − | 19.5001i | 0.737106 | − | 0.618505i | ||||
\(995\) | −5.55883 | − | 9.62818i | −0.176227 | − | 0.305234i | ||||
\(996\) | −0.0860288 | + | 0.149006i | −0.00272593 | + | 0.00472144i | ||||
\(997\) | −10.5569 | + | 1.86147i | −0.334341 | + | 0.0589533i | −0.338299 | − | 0.941039i | \(-0.609851\pi\) |
0.00395758 | + | 0.999992i | \(0.498740\pi\) | |||||||
\(998\) | 0.461812 | + | 2.61907i | 0.0146184 | + | 0.0829051i | ||||
\(999\) | 0.468212 | − | 0.810967i | 0.0148136 | − | 0.0256579i |
(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 | 418.2.q.b.21.6 | yes | 60 | |
11.10 | odd | 2 | 418.2.q.a.21.6 | ✓ | 60 | ||
19.10 | odd | 18 | 418.2.q.a.219.6 | yes | 60 | ||
209.10 | even | 18 | inner | 418.2.q.b.219.6 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.q.a.21.6 | ✓ | 60 | 11.10 | odd | 2 | ||
418.2.q.a.219.6 | yes | 60 | 19.10 | odd | 18 | ||
418.2.q.b.21.6 | yes | 60 | 1.1 | even | 1 | trivial | |
418.2.q.b.219.6 | yes | 60 | 209.10 | even | 18 | inner |