Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [983,2,Mod(2,983)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(983, base_ring=CyclotomicField(982))
chi = DirichletCharacter(H, H._module([674]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("983.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 983 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 983.c (of order \(491\), degree \(490\), 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: | \(7.84929451869\) |
Analytic rank: | \(0\) |
Dimension: | \(39690\) |
Relative dimension: | \(81\) over \(\Q(\zeta_{491})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{491}]$ |
Embedding invariants
Embedding label | 2.12 | ||
Character | \(\chi\) | \(=\) | 983.2 |
Dual form | 983.2.c.a.492.12 |
$q$-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 \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{337}{491}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.691522 | + | 2.06516i | −0.488980 | + | 1.46029i | 0.360548 | + | 0.932741i | \(0.382590\pi\) |
−0.849527 | + | 0.527545i | \(0.823113\pi\) | |||||||
\(3\) | −1.31722 | − | 0.740034i | −0.760498 | − | 0.427259i | 0.0605154 | − | 0.998167i | \(-0.480726\pi\) |
−0.821014 | + | 0.570908i | \(0.806591\pi\) | |||||||
\(4\) | −2.18995 | − | 1.65183i | −1.09497 | − | 0.825916i | ||||
\(5\) | −2.30250 | + | 3.47293i | −1.02971 | + | 1.55314i | −0.212198 | + | 0.977227i | \(0.568062\pi\) |
−0.817511 | + | 0.575914i | \(0.804646\pi\) | |||||||
\(6\) | 2.43917 | − | 2.20852i | 0.995788 | − | 0.901624i | ||||
\(7\) | 0.363807 | − | 0.802796i | 0.137506 | − | 0.303428i | −0.829359 | − | 0.558716i | \(-0.811294\pi\) |
0.966865 | + | 0.255287i | \(0.0821701\pi\) | |||||||
\(8\) | 1.33432 | − | 0.915691i | 0.471753 | − | 0.323746i | ||||
\(9\) | −0.373111 | − | 0.612595i | −0.124370 | − | 0.204198i | ||||
\(10\) | −5.57991 | − | 7.15662i | −1.76452 | − | 2.26312i | ||||
\(11\) | −1.49176 | − | 0.0955789i | −0.449784 | − | 0.0288181i | −0.162597 | − | 0.986693i | \(-0.551987\pi\) |
−0.287187 | + | 0.957874i | \(0.592720\pi\) | |||||||
\(12\) | 1.66224 | + | 3.79647i | 0.479846 | + | 1.09595i | ||||
\(13\) | 0.264935 | + | 0.306111i | 0.0734798 | + | 0.0849000i | 0.791678 | − | 0.610939i | \(-0.209208\pi\) |
−0.718198 | + | 0.695839i | \(0.755033\pi\) | |||||||
\(14\) | 1.40632 | + | 1.30647i | 0.375854 | + | 0.349168i | ||||
\(15\) | 5.60299 | − | 2.87069i | 1.44669 | − | 0.741208i | ||||
\(16\) | −0.538977 | − | 1.88621i | −0.134744 | − | 0.471554i | ||||
\(17\) | −0.645980 | + | 0.285301i | −0.156673 | + | 0.0691956i | −0.480859 | − | 0.876798i | \(-0.659675\pi\) |
0.324186 | + | 0.945993i | \(0.394909\pi\) | |||||||
\(18\) | 1.52312 | − | 0.346910i | 0.359003 | − | 0.0817674i | ||||
\(19\) | −4.63566 | − | 3.54334i | −1.06349 | − | 0.812898i | −0.0805395 | − | 0.996751i | \(-0.525664\pi\) |
−0.982954 | + | 0.183853i | \(0.941143\pi\) | |||||||
\(20\) | 10.7791 | − | 3.80219i | 2.41027 | − | 0.850196i | ||||
\(21\) | −1.07331 | + | 0.788231i | −0.234216 | + | 0.172006i | ||||
\(22\) | 1.22897 | − | 3.01463i | 0.262018 | − | 0.642722i | ||||
\(23\) | 0.765731 | + | 7.22614i | 0.159666 | + | 1.50675i | 0.728924 | + | 0.684595i | \(0.240021\pi\) |
−0.569258 | + | 0.822159i | \(0.692769\pi\) | |||||||
\(24\) | −2.43524 | + | 0.218726i | −0.497091 | + | 0.0446473i | ||||
\(25\) | −4.81310 | − | 11.3873i | −0.962620 | − | 2.27746i | ||||
\(26\) | −0.815376 | + | 0.335450i | −0.159908 | + | 0.0657871i | ||||
\(27\) | 0.197603 | + | 5.61284i | 0.0380287 | + | 1.08019i | ||||
\(28\) | −2.12280 | + | 1.15714i | −0.401172 | + | 0.218678i | ||||
\(29\) | 5.18004 | − | 7.49668i | 0.961909 | − | 1.39210i | 0.0423688 | − | 0.999102i | \(-0.486510\pi\) |
0.919540 | − | 0.392997i | \(-0.128562\pi\) | |||||||
\(30\) | 2.05383 | + | 13.5562i | 0.374976 | + | 2.47501i | ||||
\(31\) | 0.728553 | + | 1.08378i | 0.130852 | + | 0.194652i | 0.889611 | − | 0.456720i | \(-0.150976\pi\) |
−0.758759 | + | 0.651372i | \(0.774194\pi\) | |||||||
\(32\) | 7.50140 | + | 0.336201i | 1.32607 | + | 0.0594325i | ||||
\(33\) | 1.89425 | + | 1.22986i | 0.329747 | + | 0.214090i | ||||
\(34\) | −0.142481 | − | 1.53134i | −0.0244353 | − | 0.262623i | ||||
\(35\) | 1.95039 | + | 3.11191i | 0.329676 | + | 0.526009i | ||||
\(36\) | −0.194810 | + | 1.95787i | −0.0324683 | + | 0.326312i | ||||
\(37\) | −3.37878 | + | 0.838088i | −0.555468 | + | 0.137781i | −0.508416 | − | 0.861112i | \(-0.669769\pi\) |
−0.0470520 | + | 0.998892i | \(0.514983\pi\) | |||||||
\(38\) | 10.5232 | − | 7.12306i | 1.70709 | − | 1.15551i | ||||
\(39\) | −0.122446 | − | 0.599278i | −0.0196070 | − | 0.0959612i | ||||
\(40\) | 0.107859 | + | 6.74237i | 0.0170541 | + | 1.06606i | ||||
\(41\) | 3.64627 | + | 0.327498i | 0.569451 | + | 0.0511466i | 0.370450 | − | 0.928853i | \(-0.379204\pi\) |
0.199002 | + | 0.979999i | \(0.436230\pi\) | |||||||
\(42\) | −0.885602 | − | 2.76163i | −0.136651 | − | 0.426129i | ||||
\(43\) | −1.36438 | − | 1.87034i | −0.208065 | − | 0.285225i | 0.691168 | − | 0.722695i | \(-0.257097\pi\) |
−0.899233 | + | 0.437470i | \(0.855875\pi\) | |||||||
\(44\) | 3.10901 | + | 2.67346i | 0.468701 | + | 0.403039i | ||||
\(45\) | 2.98659 | + | 0.114712i | 0.445214 | + | 0.0171002i | ||||
\(46\) | −15.4526 | − | 3.41568i | −2.27836 | − | 0.503614i | ||||
\(47\) | −1.87742 | − | 6.26561i | −0.273850 | − | 0.913933i | −0.978825 | − | 0.204701i | \(-0.934378\pi\) |
0.704975 | − | 0.709232i | \(-0.250958\pi\) | |||||||
\(48\) | −0.685911 | + | 2.88342i | −0.0990027 | + | 0.416187i | ||||
\(49\) | 4.10259 | + | 4.67937i | 0.586085 | + | 0.668481i | ||||
\(50\) | 26.8449 | − | 2.06522i | 3.79645 | − | 0.292067i | ||||
\(51\) | 1.06203 | + | 0.102243i | 0.148714 | + | 0.0143169i | ||||
\(52\) | −0.0745505 | − | 1.10800i | −0.0103383 | − | 0.153652i | ||||
\(53\) | −6.30654 | + | 5.78403i | −0.866269 | + | 0.794498i | −0.979997 | − | 0.199014i | \(-0.936226\pi\) |
0.113727 | + | 0.993512i | \(0.463721\pi\) | |||||||
\(54\) | −11.7280 | − | 3.47332i | −1.59598 | − | 0.472659i | ||||
\(55\) | 3.76673 | − | 4.96072i | 0.507905 | − | 0.668903i | ||||
\(56\) | −0.249679 | − | 1.40432i | −0.0333647 | − | 0.187660i | ||||
\(57\) | 3.48400 | + | 8.09791i | 0.461467 | + | 1.07259i | ||||
\(58\) | 11.8997 | + | 15.8817i | 1.56251 | + | 2.08537i | ||||
\(59\) | −4.44325 | − | 0.341826i | −0.578461 | − | 0.0445019i | −0.215824 | − | 0.976432i | \(-0.569244\pi\) |
−0.362637 | + | 0.931930i | \(0.618124\pi\) | |||||||
\(60\) | −17.0122 | − | 2.96854i | −2.19626 | − | 0.383236i | ||||
\(61\) | 5.53208 | + | 4.69584i | 0.708310 | + | 0.601240i | 0.927226 | − | 0.374503i | \(-0.122187\pi\) |
−0.218916 | + | 0.975744i | \(0.570252\pi\) | |||||||
\(62\) | −2.74198 | + | 0.755120i | −0.348232 | + | 0.0959003i | ||||
\(63\) | −0.627529 | + | 0.0766660i | −0.0790613 | + | 0.00965901i | ||||
\(64\) | −4.47058 | + | 11.5982i | −0.558823 | + | 1.44977i | ||||
\(65\) | −1.67312 | + | 0.215280i | −0.207524 | + | 0.0267022i | ||||
\(66\) | −3.84976 | + | 3.06146i | −0.473873 | + | 0.376839i | ||||
\(67\) | 6.71684 | − | 5.77586i | 0.820593 | − | 0.705633i | −0.137994 | − | 0.990433i | \(-0.544066\pi\) |
0.958587 | + | 0.284800i | \(0.0919271\pi\) | |||||||
\(68\) | 1.88593 | + | 0.442256i | 0.228703 | + | 0.0536315i | ||||
\(69\) | 4.33895 | − | 10.0851i | 0.522348 | − | 1.21410i | ||||
\(70\) | −7.77532 | + | 1.87590i | −0.929328 | + | 0.224213i | ||||
\(71\) | −2.96848 | + | 2.42328i | −0.352294 | + | 0.287591i | −0.791963 | − | 0.610569i | \(-0.790941\pi\) |
0.439669 | + | 0.898160i | \(0.355096\pi\) | |||||||
\(72\) | −1.05880 | − | 0.475743i | −0.124780 | − | 0.0560668i | ||||
\(73\) | 11.9983 | + | 8.57731i | 1.40430 | + | 1.00390i | 0.995840 | + | 0.0911201i | \(0.0290447\pi\) |
0.408456 | + | 0.912778i | \(0.366067\pi\) | |||||||
\(74\) | 0.605718 | − | 7.55726i | 0.0704133 | − | 0.878514i | ||||
\(75\) | −2.08708 | + | 18.5615i | −0.240995 | + | 2.14330i | ||||
\(76\) | 4.29885 | + | 15.4171i | 0.493112 | + | 1.76846i | ||||
\(77\) | −0.619444 | + | 1.16281i | −0.0705922 | + | 0.132515i | ||||
\(78\) | 1.32228 | + | 0.161544i | 0.149718 | + | 0.0182913i | ||||
\(79\) | 1.80489 | − | 0.267546i | 0.203066 | − | 0.0301012i | −0.0443241 | − | 0.999017i | \(-0.514113\pi\) |
0.247390 | + | 0.968916i | \(0.420427\pi\) | |||||||
\(80\) | 7.79168 | + | 2.47118i | 0.871136 | + | 0.276286i | ||||
\(81\) | 2.90608 | − | 5.62763i | 0.322898 | − | 0.625293i | ||||
\(82\) | −3.19781 | + | 7.30364i | −0.353139 | + | 0.806552i | ||||
\(83\) | 7.05251 | − | 2.18718i | 0.774113 | − | 0.240074i | 0.116258 | − | 0.993219i | \(-0.462910\pi\) |
0.657855 | + | 0.753145i | \(0.271464\pi\) | |||||||
\(84\) | 3.65252 | + | 0.0467428i | 0.398523 | + | 0.00510006i | ||||
\(85\) | 0.496540 | − | 2.90034i | 0.0538573 | − | 0.314587i | ||||
\(86\) | 4.80604 | − | 1.52427i | 0.518249 | − | 0.164366i | ||||
\(87\) | −12.3711 | + | 6.04139i | −1.32632 | + | 0.647705i | ||||
\(88\) | −2.07801 | + | 1.23846i | −0.221517 | + | 0.132021i | ||||
\(89\) | 5.07283 | + | 3.33990i | 0.537719 | + | 0.354029i | 0.789495 | − | 0.613757i | \(-0.210342\pi\) |
−0.251776 | + | 0.967786i | \(0.581015\pi\) | |||||||
\(90\) | −2.30219 | + | 6.08844i | −0.242672 | + | 0.641778i | ||||
\(91\) | 0.342130 | − | 0.101324i | 0.0358650 | − | 0.0106216i | ||||
\(92\) | 10.2595 | − | 17.0897i | 1.06962 | − | 1.78173i | ||||
\(93\) | −0.157634 | − | 1.96673i | −0.0163459 | − | 0.203940i | ||||
\(94\) | 14.2377 | + | 0.455646i | 1.46851 | + | 0.0469963i | ||||
\(95\) | 22.9794 | − | 7.94077i | 2.35763 | − | 0.814705i | ||||
\(96\) | −9.63220 | − | 5.99414i | −0.983083 | − | 0.611774i | ||||
\(97\) | 10.7263 | − | 0.549526i | 1.08909 | − | 0.0557959i | 0.501656 | − | 0.865067i | \(-0.332724\pi\) |
0.587435 | + | 0.809271i | \(0.300138\pi\) | |||||||
\(98\) | −12.5007 | + | 5.23661i | −1.26276 | + | 0.528977i | ||||
\(99\) | 0.498043 | + | 0.949510i | 0.0500552 | + | 0.0954293i | ||||
\(100\) | −8.26949 | + | 32.8881i | −0.826949 | + | 3.28881i | ||||
\(101\) | 5.63911 | + | 4.08604i | 0.561112 | + | 0.406576i | 0.830964 | − | 0.556326i | \(-0.187789\pi\) |
−0.269852 | + | 0.962902i | \(0.586975\pi\) | |||||||
\(102\) | −0.945565 | + | 2.12256i | −0.0936249 | + | 0.210164i | ||||
\(103\) | −4.10279 | − | 1.59654i | −0.404260 | − | 0.157312i | 0.151882 | − | 0.988399i | \(-0.451467\pi\) |
−0.556142 | + | 0.831087i | \(0.687719\pi\) | |||||||
\(104\) | 0.633811 | + | 0.165851i | 0.0621503 | + | 0.0162630i | ||||
\(105\) | −0.266173 | − | 5.54243i | −0.0259758 | − | 0.540886i | ||||
\(106\) | −7.58382 | − | 17.0238i | −0.736606 | − | 1.65349i | ||||
\(107\) | 0.913116 | − | 4.32763i | 0.0882743 | − | 0.418368i | −0.911698 | − | 0.410862i | \(-0.865228\pi\) |
0.999972 | − | 0.00750617i | \(-0.00238931\pi\) | |||||||
\(108\) | 8.83873 | − | 12.6182i | 0.850507 | − | 1.21419i | ||||
\(109\) | −8.25526 | − | 9.78867i | −0.790711 | − | 0.937584i | 0.208471 | − | 0.978029i | \(-0.433151\pi\) |
−0.999182 | + | 0.0404440i | \(0.987123\pi\) | |||||||
\(110\) | 7.63988 | + | 11.2093i | 0.728434 | + | 1.06877i | ||||
\(111\) | 5.07082 | + | 1.39646i | 0.481301 | + | 0.132547i | ||||
\(112\) | −1.71033 | − | 0.253529i | −0.161611 | − | 0.0239562i | ||||
\(113\) | 3.99452 | + | 1.95072i | 0.375773 | + | 0.183508i | 0.617005 | − | 0.786959i | \(-0.288346\pi\) |
−0.241232 | + | 0.970467i | \(0.577551\pi\) | |||||||
\(114\) | −19.1327 | + | 1.59511i | −1.79194 | + | 0.149396i | ||||
\(115\) | −26.8589 | − | 13.9788i | −2.50461 | − | 1.30353i | ||||
\(116\) | −23.7273 | + | 7.86080i | −2.20302 | + | 0.729857i | ||||
\(117\) | 0.0886719 | − | 0.276512i | 0.00819772 | − | 0.0255635i | ||||
\(118\) | 3.77853 | − | 8.93961i | 0.347841 | − | 0.822958i | ||||
\(119\) | −0.00597354 | + | 0.622384i | −0.000547593 | + | 0.0570539i | ||||
\(120\) | 4.84751 | − | 8.96102i | 0.442515 | − | 0.818025i | ||||
\(121\) | −8.69383 | − | 1.11864i | −0.790348 | − | 0.101694i | ||||
\(122\) | −13.5232 | + | 8.17732i | −1.22433 | + | 0.740340i | ||||
\(123\) | −4.56058 | − | 3.12975i | −0.411214 | − | 0.282200i | ||||
\(124\) | 0.194723 | − | 3.57686i | 0.0174867 | − | 0.321212i | ||||
\(125\) | 30.1528 | + | 5.66003i | 2.69695 | + | 0.506249i | ||||
\(126\) | 0.275623 | − | 1.34896i | 0.0245545 | − | 0.120175i | ||||
\(127\) | −4.42839 | − | 10.6669i | −0.392956 | − | 0.946537i | −0.989576 | − | 0.144013i | \(-0.953999\pi\) |
0.596620 | − | 0.802524i | \(-0.296510\pi\) | |||||||
\(128\) | −9.28787 | − | 7.68159i | −0.820939 | − | 0.678963i | ||||
\(129\) | 0.413069 | + | 3.47334i | 0.0363687 | + | 0.305811i | ||||
\(130\) | 0.712409 | − | 3.60411i | 0.0624824 | − | 0.316102i | ||||
\(131\) | −15.9024 | − | 8.14758i | −1.38940 | − | 0.711858i | −0.409679 | − | 0.912230i | \(-0.634359\pi\) |
−0.979720 | + | 0.200372i | \(0.935785\pi\) | |||||||
\(132\) | −2.11680 | − | 5.82231i | −0.184244 | − | 0.506767i | ||||
\(133\) | −4.53106 | + | 2.43240i | −0.392893 | + | 0.210916i | ||||
\(134\) | 7.28320 | + | 17.8655i | 0.629173 | + | 1.54334i | ||||
\(135\) | −19.9480 | − | 12.2373i | −1.71685 | − | 1.05322i | ||||
\(136\) | −0.600696 | + | 0.972200i | −0.0515092 | + | 0.0833654i | ||||
\(137\) | −2.34834 | − | 4.14878i | −0.200632 | − | 0.354454i | 0.751706 | − | 0.659498i | \(-0.229231\pi\) |
−0.952338 | + | 0.305044i | \(0.901329\pi\) | |||||||
\(138\) | 17.8268 | + | 15.9347i | 1.51752 | + | 1.35645i | ||||
\(139\) | 1.15063 | − | 2.19365i | 0.0975949 | − | 0.186063i | −0.831873 | − | 0.554966i | \(-0.812731\pi\) |
0.929468 | + | 0.368904i | \(0.120267\pi\) | |||||||
\(140\) | 0.869106 | − | 10.0366i | 0.0734528 | − | 0.848251i | ||||
\(141\) | −2.16379 | + | 9.64255i | −0.182224 | + | 0.812049i | ||||
\(142\) | −2.95169 | − | 7.80613i | −0.247700 | − | 0.655075i | ||||
\(143\) | −0.365963 | − | 0.481968i | −0.0306034 | − | 0.0403042i | ||||
\(144\) | −0.954388 | + | 1.03394i | −0.0795323 | + | 0.0861619i | ||||
\(145\) | 14.1084 | + | 35.2510i | 1.17164 | + | 2.92744i | ||||
\(146\) | −26.0106 | + | 18.8470i | −2.15265 | + | 1.55979i | ||||
\(147\) | −1.94113 | − | 9.19983i | −0.160102 | − | 0.758789i | ||||
\(148\) | 8.78374 | + | 3.74581i | 0.722019 | + | 0.307903i | ||||
\(149\) | −2.74542 | − | 10.6306i | −0.224914 | − | 0.870890i | −0.977247 | − | 0.212107i | \(-0.931968\pi\) |
0.752333 | − | 0.658783i | \(-0.228929\pi\) | |||||||
\(150\) | −36.8891 | − | 17.1458i | −3.01198 | − | 1.39995i | ||||
\(151\) | 5.22217 | − | 1.87972i | 0.424974 | − | 0.152969i | −0.117441 | − | 0.993080i | \(-0.537469\pi\) |
0.542415 | + | 0.840110i | \(0.317510\pi\) | |||||||
\(152\) | −9.43005 | − | 0.483117i | −0.764878 | − | 0.0391859i | ||||
\(153\) | 0.415796 | + | 0.289275i | 0.0336151 | + | 0.0233865i | ||||
\(154\) | −1.97303 | − | 2.08336i | −0.158991 | − | 0.167882i | ||||
\(155\) | −5.44137 | + | 0.0348163i | −0.437061 | + | 0.00279651i | ||||
\(156\) | −0.721756 | + | 1.51465i | −0.0577867 | + | 0.121269i | ||||
\(157\) | −16.1112 | − | 17.4542i | −1.28582 | − | 1.39300i | −0.877078 | − | 0.480347i | \(-0.840511\pi\) |
−0.408738 | − | 0.912652i | \(-0.634031\pi\) | |||||||
\(158\) | −0.695597 | + | 3.91239i | −0.0553388 | + | 0.311253i | ||||
\(159\) | 12.5875 | − | 2.95180i | 0.998253 | − | 0.234093i | ||||
\(160\) | −18.4396 | + | 25.2777i | −1.45778 | + | 1.99838i | ||||
\(161\) | 6.07969 | + | 2.01419i | 0.479147 | + | 0.158740i | ||||
\(162\) | 9.61232 | + | 9.89315i | 0.755215 | + | 0.777279i | ||||
\(163\) | −11.1603 | + | 2.84417i | −0.874139 | + | 0.222772i | −0.657477 | − | 0.753474i | \(-0.728376\pi\) |
−0.216662 | + | 0.976247i | \(0.569517\pi\) | |||||||
\(164\) | −7.44417 | − | 6.74023i | −0.581292 | − | 0.526323i | ||||
\(165\) | −8.63272 | + | 3.74686i | −0.672056 | + | 0.291693i | ||||
\(166\) | −0.360093 | + | 16.0770i | −0.0279486 | + | 1.24782i | ||||
\(167\) | −4.11646 | − | 22.3233i | −0.318541 | − | 1.72743i | −0.629494 | − | 0.777005i | \(-0.716738\pi\) |
0.310953 | − | 0.950425i | \(-0.399352\pi\) | |||||||
\(168\) | −0.710362 | + | 2.03457i | −0.0548056 | + | 0.156971i | ||||
\(169\) | 1.84155 | − | 12.7033i | 0.141658 | − | 0.977178i | ||||
\(170\) | 5.64629 | + | 3.03108i | 0.433051 | + | 0.232474i | ||||
\(171\) | −0.441017 | + | 4.16184i | −0.0337254 | + | 0.318264i | ||||
\(172\) | −0.101577 | + | 6.34968i | −0.00774520 | + | 0.484158i | ||||
\(173\) | 21.2829 | − | 3.99504i | 1.61811 | − | 0.303737i | 0.704305 | − | 0.709897i | \(-0.251259\pi\) |
0.913802 | + | 0.406160i | \(0.133132\pi\) | |||||||
\(174\) | −3.92155 | − | 29.7259i | −0.297292 | − | 2.25352i | ||||
\(175\) | −10.8927 | − | 0.278843i | −0.823413 | − | 0.0210786i | ||||
\(176\) | 0.623745 | + | 2.86530i | 0.0470165 | + | 0.215980i | ||||
\(177\) | 5.59978 | + | 3.73841i | 0.420905 | + | 0.280996i | ||||
\(178\) | −10.4054 | + | 8.16657i | −0.779917 | + | 0.612111i | ||||
\(179\) | −11.8424 | − | 5.68965i | −0.885140 | − | 0.425265i | −0.0653053 | − | 0.997865i | \(-0.520802\pi\) |
−0.819834 | + | 0.572601i | \(0.805935\pi\) | |||||||
\(180\) | −6.35099 | − | 5.18455i | −0.473375 | − | 0.386434i | ||||
\(181\) | −6.01872 | − | 12.0304i | −0.447368 | − | 0.894214i | −0.998222 | − | 0.0596123i | \(-0.981014\pi\) |
0.550854 | − | 0.834602i | \(-0.314302\pi\) | |||||||
\(182\) | −0.0273413 | + | 0.776619i | −0.00202667 | + | 0.0575669i | ||||
\(183\) | −3.81189 | − | 10.2794i | −0.281783 | − | 0.759874i | ||||
\(184\) | 7.63864 | + | 8.94080i | 0.563128 | + | 0.659124i | ||||
\(185\) | 4.86902 | − | 13.6640i | 0.357977 | − | 1.00459i | ||||
\(186\) | 4.17061 | + | 1.03450i | 0.305804 | + | 0.0758530i | ||||
\(187\) | 0.990919 | − | 0.363859i | 0.0724631 | − | 0.0266080i | ||||
\(188\) | −6.23829 | + | 16.8225i | −0.454974 | + | 1.22691i | ||||
\(189\) | 4.57785 | + | 1.88335i | 0.332990 | + | 0.136994i | ||||
\(190\) | 0.508178 | + | 52.9472i | 0.0368671 | + | 3.84119i | ||||
\(191\) | −3.96899 | − | 2.09806i | −0.287186 | − | 0.151810i | 0.317537 | − | 0.948246i | \(-0.397144\pi\) |
−0.604724 | + | 0.796435i | \(0.706716\pi\) | |||||||
\(192\) | 14.4718 | − | 11.9690i | 1.04441 | − | 0.863788i | ||||
\(193\) | 10.1661 | + | 9.68962i | 0.731774 | + | 0.697474i | 0.961200 | − | 0.275852i | \(-0.0889600\pi\) |
−0.229427 | + | 0.973326i | \(0.573685\pi\) | |||||||
\(194\) | −6.28262 | + | 22.5315i | −0.451066 | + | 1.61767i | ||||
\(195\) | 2.36318 | + | 0.954591i | 0.169231 | + | 0.0683597i | ||||
\(196\) | −1.25494 | − | 17.0244i | −0.0896384 | − | 1.21603i | ||||
\(197\) | 18.3444 | − | 4.92585i | 1.30698 | − | 0.350952i | 0.462540 | − | 0.886598i | \(-0.346938\pi\) |
0.844442 | + | 0.535646i | \(0.179932\pi\) | |||||||
\(198\) | −2.30529 | + | 0.371930i | −0.163830 | + | 0.0264319i | ||||
\(199\) | 11.6544 | − | 18.0768i | 0.826160 | − | 1.28143i | −0.130858 | − | 0.991401i | \(-0.541773\pi\) |
0.957018 | − | 0.290028i | \(-0.0936647\pi\) | |||||||
\(200\) | −16.8495 | − | 10.7870i | −1.19144 | − | 0.762756i | ||||
\(201\) | −13.1219 | + | 2.63739i | −0.925547 | + | 0.186027i | ||||
\(202\) | −12.3379 | + | 8.82005i | −0.868089 | + | 0.620577i | ||||
\(203\) | −4.13378 | − | 6.88585i | −0.290134 | − | 0.483292i | ||||
\(204\) | −2.15691 | − | 1.97820i | −0.151014 | − | 0.138502i | ||||
\(205\) | −9.53291 | + | 11.9092i | −0.665807 | + | 0.831772i | ||||
\(206\) | 6.13427 | − | 7.36886i | 0.427395 | − | 0.513413i | ||||
\(207\) | 4.14099 | − | 3.16524i | 0.287819 | − | 0.219999i | ||||
\(208\) | 0.434597 | − | 0.664712i | 0.0301339 | − | 0.0460895i | ||||
\(209\) | 6.57664 | + | 5.72890i | 0.454916 | + | 0.396277i | ||||
\(210\) | 11.6300 | + | 3.28302i | 0.802549 | + | 0.226550i | ||||
\(211\) | 0.921193 | + | 5.59582i | 0.0634175 | + | 0.385232i | 0.999445 | + | 0.0333060i | \(0.0106036\pi\) |
−0.936028 | + | 0.351926i | \(0.885527\pi\) | |||||||
\(212\) | 23.3652 | − | 2.24940i | 1.60473 | − | 0.154489i | ||||
\(213\) | 5.70346 | − | 0.995225i | 0.390795 | − | 0.0681917i | ||||
\(214\) | 8.30580 | + | 4.87838i | 0.567773 | + | 0.333479i | ||||
\(215\) | 9.63704 | − | 0.431917i | 0.657241 | − | 0.0294565i | ||||
\(216\) | 5.40329 | + | 7.30837i | 0.367647 | + | 0.497272i | ||||
\(217\) | 1.13510 | − | 0.190594i | 0.0770559 | − | 0.0129384i | ||||
\(218\) | 25.9238 | − | 10.2793i | 1.75578 | − | 0.696203i | ||||
\(219\) | −9.45694 | − | 20.1774i | −0.639040 | − | 1.36346i | ||||
\(220\) | −16.4432 | + | 4.64173i | −1.10860 | + | 0.312945i | ||||
\(221\) | −0.258477 | − | 0.122155i | −0.0173870 | − | 0.00821707i | ||||
\(222\) | −6.39050 | + | 9.50634i | −0.428902 | + | 0.638024i | ||||
\(223\) | 12.8515 | − | 17.3827i | 0.860602 | − | 1.16403i | −0.124528 | − | 0.992216i | \(-0.539742\pi\) |
0.985129 | − | 0.171815i | \(-0.0549631\pi\) | |||||||
\(224\) | 2.99896 | − | 5.89978i | 0.200376 | − | 0.394196i | ||||
\(225\) | −5.17999 | + | 7.19722i | −0.345333 | + | 0.479815i | ||||
\(226\) | −6.79084 | + | 6.90034i | −0.451720 | + | 0.459004i | ||||
\(227\) | 6.47419 | + | 10.9425i | 0.429707 | + | 0.726277i | 0.995135 | − | 0.0985208i | \(-0.0314111\pi\) |
−0.565428 | + | 0.824798i | \(0.691289\pi\) | |||||||
\(228\) | 5.74662 | − | 23.4890i | 0.380579 | − | 1.55560i | ||||
\(229\) | 1.28588 | − | 5.90698i | 0.0849736 | − | 0.390344i | −0.914939 | − | 0.403593i | \(-0.867761\pi\) |
0.999912 | + | 0.0132489i | \(0.00421736\pi\) | |||||||
\(230\) | 47.4420 | − | 45.8012i | 3.12824 | − | 3.02004i | ||||
\(231\) | 1.67647 | − | 1.07327i | 0.110303 | − | 0.0706160i | ||||
\(232\) | 0.0471761 | − | 14.7463i | 0.00309726 | − | 0.968140i | ||||
\(233\) | 2.10190 | − | 1.28943i | 0.137700 | − | 0.0844737i | −0.452349 | − | 0.891841i | \(-0.649414\pi\) |
0.590049 | + | 0.807367i | \(0.299108\pi\) | |||||||
\(234\) | 0.509721 | + | 0.374335i | 0.0333215 | + | 0.0244711i | ||||
\(235\) | 26.0828 | + | 7.90642i | 1.70145 | + | 0.515758i | ||||
\(236\) | 9.16585 | + | 8.08808i | 0.596646 | + | 0.526489i | ||||
\(237\) | −2.57543 | − | 0.983263i | −0.167292 | − | 0.0638698i | ||||
\(238\) | −1.28119 | − | 0.442729i | −0.0830472 | − | 0.0286978i | ||||
\(239\) | 4.75330 | + | 5.86089i | 0.307466 | + | 0.379109i | 0.906922 | − | 0.421298i | \(-0.138425\pi\) |
−0.599457 | + | 0.800407i | \(0.704617\pi\) | |||||||
\(240\) | −8.43462 | − | 9.02120i | −0.544452 | − | 0.582316i | ||||
\(241\) | 15.5598 | + | 0.0995584i | 1.00229 | + | 0.00641312i | 0.506684 | − | 0.862132i | \(-0.330871\pi\) |
0.495610 | + | 0.868545i | \(0.334945\pi\) | |||||||
\(242\) | 8.32213 | − | 17.1805i | 0.534967 | − | 1.10441i | ||||
\(243\) | 6.08010 | − | 4.00308i | 0.390039 | − | 0.256797i | ||||
\(244\) | −4.35823 | − | 19.4217i | −0.279007 | − | 1.24335i | ||||
\(245\) | −25.6973 | + | 3.47376i | −1.64174 | + | 0.221931i | ||||
\(246\) | 9.61717 | − | 7.25402i | 0.613168 | − | 0.462500i | ||||
\(247\) | −0.143493 | − | 2.35778i | −0.00913025 | − | 0.150022i | ||||
\(248\) | 1.96453 | + | 0.778974i | 0.124748 | + | 0.0494649i | ||||
\(249\) | −10.9083 | − | 2.33809i | −0.691286 | − | 0.148171i | ||||
\(250\) | −32.5402 | + | 58.3562i | −2.05802 | + | 3.69077i | ||||
\(251\) | −6.31177 | + | 21.0646i | −0.398395 | + | 1.32959i | 0.490486 | + | 0.871449i | \(0.336819\pi\) |
−0.888881 | + | 0.458137i | \(0.848517\pi\) | |||||||
\(252\) | 1.50090 | + | 0.868679i | 0.0945476 | + | 0.0547216i | ||||
\(253\) | −0.451624 | − | 10.8529i | −0.0283934 | − | 0.682315i | ||||
\(254\) | 25.0912 | − | 1.76889i | 1.57436 | − | 0.110990i | ||||
\(255\) | −2.80041 | + | 3.45294i | −0.175368 | + | 0.216232i | ||||
\(256\) | 1.17971 | − | 0.734138i | 0.0737321 | − | 0.0458836i | ||||
\(257\) | −22.8821 | + | 15.9194i | −1.42735 | + | 0.993027i | −0.431489 | + | 0.902118i | \(0.642012\pi\) |
−0.995859 | + | 0.0909086i | \(0.971023\pi\) | |||||||
\(258\) | −7.45864 | − | 1.54884i | −0.464354 | − | 0.0964266i | ||||
\(259\) | −0.556409 | + | 3.01737i | −0.0345735 | + | 0.187490i | ||||
\(260\) | 4.01965 | + | 2.29225i | 0.249288 | + | 0.142160i | ||||
\(261\) | −6.52516 | − | 0.376169i | −0.403897 | − | 0.0232843i | ||||
\(262\) | 27.8229 | − | 27.2067i | 1.71890 | − | 1.68083i | ||||
\(263\) | −2.02831 | − | 8.29063i | −0.125071 | − | 0.511222i | −0.999653 | − | 0.0263441i | \(-0.991613\pi\) |
0.874582 | − | 0.484878i | \(-0.161136\pi\) | |||||||
\(264\) | 3.65371 | − | 0.0935313i | 0.224870 | − | 0.00575645i | ||||
\(265\) | −5.56673 | − | 35.2199i | −0.341962 | − | 2.16354i | ||||
\(266\) | −1.88995 | − | 11.0394i | −0.115880 | − | 0.676869i | ||||
\(267\) | −4.21041 | − | 8.15346i | −0.257673 | − | 0.498984i | ||||
\(268\) | −24.2503 | + | 1.55374i | −1.48132 | + | 0.0949098i | ||||
\(269\) | −17.3355 | − | 19.5193i | −1.05697 | − | 1.19011i | −0.981201 | − | 0.192989i | \(-0.938182\pi\) |
−0.0757655 | − | 0.997126i | \(-0.524140\pi\) | |||||||
\(270\) | 39.0664 | − | 32.7333i | 2.37750 | − | 1.99208i | ||||
\(271\) | 26.1892 | − | 0.502766i | 1.59088 | − | 0.0305409i | 0.783813 | − | 0.620997i | \(-0.213272\pi\) |
0.807070 | + | 0.590456i | \(0.201052\pi\) | |||||||
\(272\) | 0.886306 | + | 1.06469i | 0.0537402 | + | 0.0645561i | ||||
\(273\) | −0.525644 | − | 0.119722i | −0.0318134 | − | 0.00724591i | ||||
\(274\) | 10.1918 | − | 1.98071i | 0.615709 | − | 0.119659i | ||||
\(275\) | 6.09163 | + | 17.4472i | 0.367339 | + | 1.05211i | ||||
\(276\) | −26.1610 | + | 14.9186i | −1.57471 | + | 0.897996i | ||||
\(277\) | −9.87488 | + | 4.90088i | −0.593324 | + | 0.294466i | −0.716132 | − | 0.697965i | \(-0.754089\pi\) |
0.122808 | + | 0.992430i | \(0.460810\pi\) | |||||||
\(278\) | 3.73454 | + | 3.89318i | 0.223983 | + | 0.233497i | ||||
\(279\) | 0.392085 | − | 0.850677i | 0.0234735 | − | 0.0509287i | ||||
\(280\) | 5.45199 | + | 2.36633i | 0.325819 | + | 0.141415i | ||||
\(281\) | −0.900952 | − | 1.98809i | −0.0537463 | − | 0.118599i | 0.882031 | − | 0.471192i | \(-0.156176\pi\) |
−0.935777 | + | 0.352592i | \(0.885300\pi\) | |||||||
\(282\) | −18.4171 | − | 11.1366i | −1.09672 | − | 0.663175i | ||||
\(283\) | 11.1020 | + | 8.82866i | 0.659944 | + | 0.524809i | 0.894372 | − | 0.447324i | \(-0.147623\pi\) |
−0.234428 | + | 0.972134i | \(0.575322\pi\) | |||||||
\(284\) | 10.5037 | − | 0.403436i | 0.623279 | − | 0.0239395i | ||||
\(285\) | −36.1454 | − | 6.54577i | −2.14107 | − | 0.387738i | ||||
\(286\) | 1.24841 | − | 0.422480i | 0.0738201 | − | 0.0249818i | ||||
\(287\) | 1.58945 | − | 2.80806i | 0.0938223 | − | 0.165755i | ||||
\(288\) | −2.59290 | − | 4.72076i | −0.152788 | − | 0.278173i | ||||
\(289\) | −11.1146 | + | 12.1967i | −0.653798 | + | 0.717454i | ||||
\(290\) | −82.5551 | + | 4.75921i | −4.84780 | + | 0.279470i | ||||
\(291\) | −14.5356 | − | 7.21398i | −0.852091 | − | 0.422891i | ||||
\(292\) | −12.1074 | − | 38.6031i | −0.708533 | − | 2.25907i | ||||
\(293\) | −21.3509 | + | 5.58695i | −1.24733 | + | 0.326393i | −0.817191 | − | 0.576367i | \(-0.804470\pi\) |
−0.430143 | + | 0.902761i | \(0.641537\pi\) | |||||||
\(294\) | 20.3414 | + | 2.35314i | 1.18633 | + | 0.137238i | ||||
\(295\) | 11.4177 | − | 14.6440i | 0.664765 | − | 0.852608i | ||||
\(296\) | −3.74094 | + | 4.21219i | −0.217438 | + | 0.244829i | ||||
\(297\) | 0.241692 | − | 8.39192i | 0.0140244 | − | 0.486949i | ||||
\(298\) | 23.8523 | + | 1.68155i | 1.38173 | + | 0.0974094i | ||||
\(299\) | −2.00913 | + | 2.14886i | −0.116191 | + | 0.124272i | ||||
\(300\) | 35.2311 | − | 37.2012i | 2.03407 | − | 2.14781i | ||||
\(301\) | −1.99787 | + | 0.414873i | −0.115155 | + | 0.0239129i | ||||
\(302\) | 0.270668 | + | 12.0845i | 0.0155752 | + | 0.695383i | ||||
\(303\) | −4.40415 | − | 9.55535i | −0.253012 | − | 0.548941i | ||||
\(304\) | −4.18499 | + | 10.6536i | −0.240026 | + | 0.611028i | ||||
\(305\) | −29.0459 | + | 8.40034i | −1.66316 | + | 0.481002i | ||||
\(306\) | −0.884930 | + | 0.658643i | −0.0505881 | + | 0.0376521i | ||||
\(307\) | −16.1656 | + | 16.0111i | −0.922617 | + | 0.913804i | −0.996511 | − | 0.0834619i | \(-0.973402\pi\) |
0.0738941 | + | 0.997266i | \(0.476457\pi\) | |||||||
\(308\) | 3.27732 | − | 1.52328i | 0.186743 | − | 0.0867968i | ||||
\(309\) | 4.22279 | + | 5.13920i | 0.240226 | + | 0.292359i | ||||
\(310\) | 3.69093 | − | 11.2614i | 0.209631 | − | 0.639602i | ||||
\(311\) | 11.6129 | − | 7.75279i | 0.658508 | − | 0.439620i | −0.180621 | − | 0.983553i | \(-0.557811\pi\) |
0.839129 | + | 0.543933i | \(0.183065\pi\) | |||||||
\(312\) | −0.712135 | − | 0.687505i | −0.0403167 | − | 0.0389223i | ||||
\(313\) | −3.92845 | − | 0.789586i | −0.222049 | − | 0.0446300i | 0.0847588 | − | 0.996401i | \(-0.472988\pi\) |
−0.306808 | + | 0.951771i | \(0.599261\pi\) | |||||||
\(314\) | 47.1870 | − | 21.2022i | 2.66291 | − | 1.19651i | ||||
\(315\) | 1.17863 | − | 2.35589i | 0.0664083 | − | 0.132739i | ||||
\(316\) | −4.39456 | − | 2.39546i | −0.247213 | − | 0.134755i | ||||
\(317\) | 13.0700 | − | 6.59116i | 0.734083 | − | 0.370197i | −0.0434357 | − | 0.999056i | \(-0.513830\pi\) |
0.777519 | + | 0.628860i | \(0.216478\pi\) | |||||||
\(318\) | −2.60859 | + | 28.0364i | −0.146283 | + | 1.57220i | ||||
\(319\) | −8.44392 | + | 10.6882i | −0.472769 | + | 0.598424i | ||||
\(320\) | −29.9861 | − | 42.2308i | −1.67628 | − | 2.36077i | ||||
\(321\) | −4.40537 | + | 5.02472i | −0.245884 | + | 0.280452i | ||||
\(322\) | −8.36386 | + | 11.1626i | −0.466099 | + | 0.622070i | ||||
\(323\) | 4.00546 | + | 0.966370i | 0.222870 | + | 0.0537703i | ||||
\(324\) | −15.6601 | + | 7.52387i | −0.870005 | + | 0.417993i | ||||
\(325\) | 2.21063 | − | 4.49025i | 0.122623 | − | 0.249074i | ||||
\(326\) | 1.84392 | − | 25.0145i | 0.102125 | − | 1.38542i | ||||
\(327\) | 3.63006 | + | 19.0030i | 0.200743 | + | 1.05087i | ||||
\(328\) | 5.16517 | − | 2.90187i | 0.285199 | − | 0.160229i | ||||
\(329\) | −5.71302 | − | 0.772286i | −0.314969 | − | 0.0425775i | ||||
\(330\) | −1.76814 | − | 20.4189i | −0.0973331 | − | 1.12403i | ||||
\(331\) | −13.1583 | − | 5.51210i | −0.723246 | − | 0.302972i | −0.00618282 | − | 0.999981i | \(-0.501968\pi\) |
−0.717063 | + | 0.697009i | \(0.754514\pi\) | |||||||
\(332\) | −19.0575 | − | 6.85974i | −1.04592 | − | 0.376477i | ||||
\(333\) | 1.77407 | + | 1.75712i | 0.0972184 | + | 0.0962898i | ||||
\(334\) | 48.9477 | + | 6.93594i | 2.67830 | + | 0.379518i | ||||
\(335\) | 4.59361 | + | 36.6260i | 0.250976 | + | 2.00109i | ||||
\(336\) | 2.06526 | + | 1.59966i | 0.112669 | + | 0.0872683i | ||||
\(337\) | 6.73973 | − | 10.7535i | 0.367137 | − | 0.585779i | −0.611533 | − | 0.791219i | \(-0.709447\pi\) |
0.978670 | + | 0.205439i | \(0.0658624\pi\) | |||||||
\(338\) | 24.9609 | + | 12.5877i | 1.35769 | + | 0.684681i | ||||
\(339\) | −3.81807 | − | 5.52561i | −0.207369 | − | 0.300110i | ||||
\(340\) | −5.87828 | + | 5.53141i | −0.318795 | + | 0.299983i | ||||
\(341\) | −0.983243 | − | 1.68637i | −0.0532456 | − | 0.0913223i | ||||
\(342\) | −8.28988 | − | 3.78878i | −0.448265 | − | 0.204874i | ||||
\(343\) | 11.1535 | − | 3.38094i | 0.602233 | − | 0.182554i | ||||
\(344\) | −3.53317 | − | 1.24629i | −0.190496 | − | 0.0671953i | ||||
\(345\) | 25.0344 | + | 38.2898i | 1.34780 | + | 2.06145i | ||||
\(346\) | −6.46720 | + | 46.7151i | −0.347679 | + | 2.51142i | ||||
\(347\) | 18.5580 | + | 8.19624i | 0.996245 | + | 0.439997i | 0.836977 | − | 0.547238i | \(-0.184321\pi\) |
0.159268 | + | 0.987235i | \(0.449087\pi\) | |||||||
\(348\) | 37.0714 | + | 7.20457i | 1.98723 | + | 0.386206i | ||||
\(349\) | 1.52355 | + | 10.5097i | 0.0815536 | + | 0.562571i | 0.989616 | + | 0.143736i | \(0.0459117\pi\) |
−0.908062 | + | 0.418835i | \(0.862439\pi\) | |||||||
\(350\) | 8.10842 | − | 22.3024i | 0.433413 | − | 1.19211i | ||||
\(351\) | −1.66580 | + | 1.54753i | −0.0889139 | + | 0.0826009i | ||||
\(352\) | −11.1582 | − | 1.21851i | −0.594733 | − | 0.0649467i | ||||
\(353\) | 16.0189 | + | 16.0702i | 0.852599 | + | 0.855330i | 0.990836 | − | 0.135069i | \(-0.0431255\pi\) |
−0.138238 | + | 0.990399i | \(0.544144\pi\) | |||||||
\(354\) | −11.5928 | + | 8.97922i | −0.616149 | + | 0.477240i | ||||
\(355\) | −1.58096 | − | 15.8889i | −0.0839088 | − | 0.843296i | ||||
\(356\) | −5.59229 | − | 15.6937i | −0.296391 | − | 0.831763i | ||||
\(357\) | 0.468454 | − | 0.815397i | 0.0247932 | − | 0.0431554i | ||||
\(358\) | 19.9393 | − | 20.5218i | 1.05382 | − | 1.08461i | ||||
\(359\) | 20.8294 | − | 10.8408i | 1.09933 | − | 0.572153i | 0.187315 | − | 0.982300i | \(-0.440021\pi\) |
0.912020 | + | 0.410147i | \(0.134522\pi\) | |||||||
\(360\) | 4.09010 | − | 2.58173i | 0.215567 | − | 0.136069i | ||||
\(361\) | 3.94804 | + | 14.5173i | 0.207792 | + | 0.764070i | ||||
\(362\) | 29.0068 | − | 4.11029i | 1.52456 | − | 0.216032i | ||||
\(363\) | 10.6239 | + | 7.90722i | 0.557609 | + | 0.415022i | ||||
\(364\) | −0.916617 | − | 0.343248i | −0.0480438 | − | 0.0179911i | ||||
\(365\) | −57.4145 | + | 21.9200i | −3.00521 | + | 1.14735i | ||||
\(366\) | 23.8645 | − | 0.763729i | 1.24742 | − | 0.0399208i | ||||
\(367\) | −2.71266 | − | 24.1251i | −0.141600 | − | 1.25932i | −0.839593 | − | 0.543216i | \(-0.817206\pi\) |
0.697993 | − | 0.716105i | \(-0.254077\pi\) | |||||||
\(368\) | 13.2173 | − | 5.33906i | 0.689001 | − | 0.278318i | ||||
\(369\) | −1.15984 | − | 2.35588i | −0.0603788 | − | 0.122642i | ||||
\(370\) | 24.8512 | + | 19.5042i | 1.29195 | + | 1.01398i | ||||
\(371\) | 2.34904 | + | 7.16713i | 0.121956 | + | 0.372099i | ||||
\(372\) | −2.90350 | + | 4.56742i | −0.150539 | + | 0.236810i | ||||
\(373\) | 0.0365456 | − | 0.878220i | 0.00189226 | − | 0.0454725i | −0.997930 | − | 0.0643028i | \(-0.979518\pi\) |
0.999823 | + | 0.0188303i | \(0.00599423\pi\) | |||||||
\(374\) | 0.0661842 | + | 2.29802i | 0.00342230 | + | 0.118828i | ||||
\(375\) | −35.5293 | − | 29.7696i | −1.83473 | − | 1.53730i | ||||
\(376\) | −8.24243 | − | 6.64118i | −0.425071 | − | 0.342493i | ||||
\(377\) | 3.66719 | − | 0.400469i | 0.188870 | − | 0.0206252i | ||||
\(378\) | −7.05510 | + | 8.15160i | −0.362875 | + | 0.419273i | ||||
\(379\) | 0.807477 | + | 0.250422i | 0.0414773 | + | 0.0128633i | 0.316879 | − | 0.948466i | \(-0.397365\pi\) |
−0.275402 | + | 0.961329i | \(0.588811\pi\) | |||||||
\(380\) | −63.4405 | − | 20.5682i | −3.25443 | − | 1.05513i | ||||
\(381\) | −2.06073 | + | 17.3279i | −0.105574 | + | 0.887734i | ||||
\(382\) | 7.07747 | − | 6.74573i | 0.362115 | − | 0.345142i | ||||
\(383\) | −8.30666 | − | 15.5931i | −0.424450 | − | 0.796771i | 0.575326 | − | 0.817924i | \(-0.304875\pi\) |
−0.999776 | + | 0.0211531i | \(0.993266\pi\) | |||||||
\(384\) | 6.54954 | + | 16.9917i | 0.334230 | + | 0.867104i | ||||
\(385\) | −2.61209 | − | 4.82866i | −0.133124 | − | 0.246091i | ||||
\(386\) | −27.0407 | + | 14.2940i | −1.37633 | + | 0.727548i | ||||
\(387\) | −0.636699 | + | 1.53366i | −0.0323652 | + | 0.0779601i | ||||
\(388\) | −24.3978 | − | 16.5146i | −1.23861 | − | 0.838403i | ||||
\(389\) | −4.27200 | − | 1.56865i | −0.216599 | − | 0.0795339i | 0.234090 | − | 0.972215i | \(-0.424789\pi\) |
−0.450689 | + | 0.892681i | \(0.648822\pi\) | |||||||
\(390\) | −3.60557 | + | 4.22021i | −0.182575 | + | 0.213699i | ||||
\(391\) | −2.55627 | − | 4.44947i | −0.129276 | − | 0.225020i | ||||
\(392\) | 9.75902 | + | 2.48706i | 0.492905 | + | 0.125616i | ||||
\(393\) | 14.9175 | + | 22.5005i | 0.752488 | + | 1.13500i | ||||
\(394\) | −2.51290 | + | 41.2903i | −0.126598 | + | 2.08018i | ||||
\(395\) | −3.22659 | + | 6.88427i | −0.162347 | + | 0.346385i | ||||
\(396\) | 0.477742 | − | 2.90206i | 0.0240074 | − | 0.145834i | ||||
\(397\) | −0.0825104 | + | 1.22630i | −0.00414108 | + | 0.0615463i | −0.999340 | − | 0.0363271i | \(-0.988434\pi\) |
0.995199 | + | 0.0978734i | \(0.0312040\pi\) | |||||||
\(398\) | 29.2721 | + | 36.5687i | 1.46728 | + | 1.83302i | ||||
\(399\) | 7.76847 | + | 0.149135i | 0.388910 | + | 0.00746607i | ||||
\(400\) | −18.8848 | + | 15.2160i | −0.944239 | + | 0.760802i | ||||
\(401\) | 3.62698 | − | 3.63860i | 0.181123 | − | 0.181703i | −0.611824 | − | 0.790994i | \(-0.709564\pi\) |
0.792947 | + | 0.609291i | \(0.208546\pi\) | |||||||
\(402\) | 3.62745 | − | 28.9226i | 0.180921 | − | 1.44253i | ||||
\(403\) | −0.138737 | + | 0.510149i | −0.00691097 | + | 0.0254123i | ||||
\(404\) | −5.59991 | − | 18.2631i | −0.278606 | − | 0.908622i | ||||
\(405\) | 12.8531 | + | 23.0502i | 0.638676 | + | 1.14538i | ||||
\(406\) | 17.0790 | − | 3.77517i | 0.847614 | − | 0.187358i | ||||
\(407\) | 5.12045 | − | 0.927291i | 0.253811 | − | 0.0459641i | ||||
\(408\) | 1.51071 | − | 0.836067i | 0.0747913 | − | 0.0413915i | ||||
\(409\) | −12.3758 | − | 13.7565i | −0.611944 | − | 0.680216i | 0.355099 | − | 0.934829i | \(-0.384447\pi\) |
−0.967043 | + | 0.254613i | \(0.918052\pi\) | |||||||
\(410\) | −18.0021 | − | 27.9224i | −0.889058 | − | 1.37899i | ||||
\(411\) | 0.0230428 | + | 7.20271i | 0.00113662 | + | 0.355284i | ||||
\(412\) | 6.34769 | + | 10.2735i | 0.312728 | + | 0.506137i | ||||
\(413\) | −1.89090 | + | 3.44266i | −0.0930450 | + | 0.169402i | ||||
\(414\) | 3.67312 | + | 10.7406i | 0.180524 | + | 0.527873i | ||||
\(415\) | −8.64247 | + | 29.5288i | −0.424242 | + | 1.44951i | ||||
\(416\) | 1.88447 | + | 2.38533i | 0.0923937 | + | 0.116951i | ||||
\(417\) | −3.13900 | + | 2.03802i | −0.153718 | + | 0.0998021i | ||||
\(418\) | −16.3790 | + | 9.62013i | −0.801122 | + | 0.470536i | ||||
\(419\) | −16.4816 | + | 13.9902i | −0.805179 | + | 0.683467i | −0.952135 | − | 0.305676i | \(-0.901117\pi\) |
0.146957 | + | 0.989143i | \(0.453052\pi\) | |||||||
\(420\) | −8.57226 | + | 12.5773i | −0.418284 | + | 0.613710i | ||||
\(421\) | −3.64913 | + | 0.374885i | −0.177848 | + | 0.0182708i | −0.190710 | − | 0.981646i | \(-0.561079\pi\) |
0.0128620 | + | 0.999917i | \(0.495906\pi\) | |||||||
\(422\) | −12.1933 | − | 1.96723i | −0.593559 | − | 0.0957632i | ||||
\(423\) | −3.13780 | + | 3.48787i | −0.152565 | + | 0.169586i | ||||
\(424\) | −3.11854 | + | 13.4926i | −0.151450 | + | 0.655258i | ||||
\(425\) | 6.35797 | + | 5.98280i | 0.308407 | + | 0.290208i | ||||
\(426\) | −1.88877 | + | 12.4667i | −0.0915113 | + | 0.604016i | ||||
\(427\) | 5.78240 | − | 2.73275i | 0.279830 | − | 0.132247i | ||||
\(428\) | −9.14821 | + | 7.96899i | −0.442195 | + | 0.385195i | ||||
\(429\) | 0.125382 | + | 0.905685i | 0.00605350 | + | 0.0437269i | ||||
\(430\) | −5.77225 | + | 20.2007i | −0.278363 | + | 0.974163i | ||||
\(431\) | −1.07366 | − | 5.43170i | −0.0517164 | − | 0.261636i | 0.946399 | − | 0.323000i | \(-0.104691\pi\) |
−0.998115 | + | 0.0613638i | \(0.980455\pi\) | |||||||
\(432\) | 10.4805 | − | 3.39791i | 0.504244 | − | 0.163482i | ||||
\(433\) | 38.2971 | − | 0.490103i | 1.84044 | − | 0.0235529i | 0.915214 | − | 0.402968i | \(-0.132022\pi\) |
0.925226 | + | 0.379415i | \(0.123875\pi\) | |||||||
\(434\) | −0.391343 | + | 2.47597i | −0.0187850 | + | 0.118850i | ||||
\(435\) | 7.50304 | − | 56.8741i | 0.359743 | − | 2.72690i | ||||
\(436\) | 1.90936 | + | 35.0730i | 0.0914420 | + | 1.67969i | ||||
\(437\) | 22.0550 | − | 36.2112i | 1.05503 | − | 1.73221i | ||||
\(438\) | 48.2091 | − | 5.57694i | 2.30352 | − | 0.266477i | ||||
\(439\) | −0.874946 | + | 0.340471i | −0.0417589 | + | 0.0162498i | −0.383433 | − | 0.923568i | \(-0.625258\pi\) |
0.341675 | + | 0.939818i | \(0.389006\pi\) | |||||||
\(440\) | 0.483527 | − | 10.0683i | 0.0230513 | − | 0.479989i | ||||
\(441\) | 1.33584 | − | 4.25915i | 0.0636112 | − | 0.202817i | ||||
\(442\) | 0.431012 | − | 0.449321i | 0.0205012 | − | 0.0213720i | ||||
\(443\) | −9.97343 | − | 25.3891i | −0.473852 | − | 1.20627i | −0.945830 | − | 0.324664i | \(-0.894749\pi\) |
0.471978 | − | 0.881611i | \(-0.343540\pi\) | |||||||
\(444\) | −8.79811 | − | 11.4343i | −0.417540 | − | 0.542649i | ||||
\(445\) | −23.2794 | + | 9.92746i | −1.10355 | + | 0.470607i | ||||
\(446\) | 27.0109 | + | 38.5609i | 1.27900 | + | 1.82591i | ||||
\(447\) | −4.25065 | + | 16.0345i | −0.201049 | + | 0.758407i | ||||
\(448\) | 7.68455 | + | 7.80846i | 0.363061 | + | 0.368915i | ||||
\(449\) | −33.8138 | + | 5.23366i | −1.59577 | + | 0.246992i | −0.888134 | − | 0.459585i | \(-0.847998\pi\) |
−0.707637 | + | 0.706577i | \(0.750239\pi\) | |||||||
\(450\) | −11.2813 | − | 15.6745i | −0.531805 | − | 0.738904i | ||||
\(451\) | −5.40807 | − | 0.837056i | −0.254656 | − | 0.0394154i | ||||
\(452\) | −5.52554 | − | 10.8703i | −0.259899 | − | 0.511294i | ||||
\(453\) | −8.26982 | − | 1.38858i | −0.388550 | − | 0.0652410i | ||||
\(454\) | −27.0749 | + | 5.80326i | −1.27069 | + | 0.272360i | ||||
\(455\) | −0.435864 | + | 1.42149i | −0.0204336 | + | 0.0666405i | ||||
\(456\) | 12.0639 | + | 7.61493i | 0.564946 | + | 0.356602i | ||||
\(457\) | 12.6446 | + | 1.05419i | 0.591490 | + | 0.0493131i | 0.375085 | − | 0.926991i | \(-0.377614\pi\) |
0.216405 | + | 0.976304i | \(0.430567\pi\) | |||||||
\(458\) | 11.3096 | + | 6.74036i | 0.528464 | + | 0.314956i | ||||
\(459\) | −1.72899 | − | 3.56940i | −0.0807025 | − | 0.166605i | ||||
\(460\) | 35.7290 | + | 74.9794i | 1.66587 | + | 3.49593i | ||||
\(461\) | −6.50694 | + | 16.2581i | −0.303058 | + | 0.757216i | 0.696168 | + | 0.717879i | \(0.254887\pi\) |
−0.999226 | + | 0.0393368i | \(0.987475\pi\) | |||||||
\(462\) | 1.05716 | + | 4.20435i | 0.0491834 | + | 0.195604i | ||||
\(463\) | −0.630172 | + | 0.563285i | −0.0292866 | + | 0.0261781i | −0.680947 | − | 0.732333i | \(-0.738431\pi\) |
0.651660 | + | 0.758511i | \(0.274073\pi\) | |||||||
\(464\) | −16.9323 | − | 5.73012i | −0.786061 | − | 0.266014i | ||||
\(465\) | 7.19326 | + | 3.98094i | 0.333579 | + | 0.184612i | ||||
\(466\) | 1.20937 | + | 5.23243i | 0.0560231 | + | 0.242387i | ||||
\(467\) | 11.6664 | − | 20.0092i | 0.539856 | − | 0.925915i | −0.459433 | − | 0.888212i | \(-0.651947\pi\) |
0.999289 | − | 0.0377021i | \(-0.0120038\pi\) | |||||||
\(468\) | −0.650938 | + | 0.459075i | −0.0300896 | + | 0.0212208i | ||||
\(469\) | −2.19320 | − | 7.49355i | −0.101273 | − | 0.346020i | ||||
\(470\) | −34.3648 | + | 48.3975i | −1.58513 | + | 2.23241i | ||||
\(471\) | 8.30535 | + | 34.9140i | 0.382690 | + | 1.60875i | ||||
\(472\) | −6.24171 | + | 3.61253i | −0.287298 | + | 0.166280i | ||||
\(473\) | 1.85656 | + | 2.92052i | 0.0853649 | + | 0.134286i | ||||
\(474\) | 3.81156 | − | 4.63872i | 0.175071 | − | 0.213064i | ||||
\(475\) | −18.0373 | + | 69.8422i | −0.827606 | + | 3.20458i | ||||
\(476\) | 1.04116 | − | 1.35312i | 0.0477213 | − | 0.0620203i | ||||
\(477\) | 5.89631 | + | 1.70527i | 0.269974 | + | 0.0780788i | ||||
\(478\) | −15.3907 | + | 5.76338i | −0.703953 | + | 0.263611i | ||||
\(479\) | −6.17088 | + | 5.44528i | −0.281955 | + | 0.248801i | −0.790825 | − | 0.612042i | \(-0.790348\pi\) |
0.508870 | + | 0.860843i | \(0.330063\pi\) | |||||||
\(480\) | 42.9954 | − | 19.6504i | 1.96246 | − | 0.896915i | ||||
\(481\) | −1.15171 | − | 0.812243i | −0.0525133 | − | 0.0370351i | ||||
\(482\) | −10.9655 | + | 32.0645i | −0.499466 | + | 1.46050i | ||||
\(483\) | −6.51773 | − | 7.15231i | −0.296567 | − | 0.325442i | ||||
\(484\) | 17.1912 | + | 16.8105i | 0.781420 | + | 0.764114i | ||||
\(485\) | −22.7888 | + | 38.5170i | −1.03479 | + | 1.74896i | ||||
\(486\) | 4.06245 | + | 15.3246i | 0.184276 | + | 0.695137i | ||||
\(487\) | −15.9480 | + | 18.9103i | −0.722671 | + | 0.856906i | −0.994423 | − | 0.105461i | \(-0.966368\pi\) |
0.271753 | + | 0.962367i | \(0.412397\pi\) | |||||||
\(488\) | 11.6815 | + | 1.20007i | 0.528796 | + | 0.0543247i | ||||
\(489\) | 16.8053 | + | 4.51258i | 0.759963 | + | 0.204066i | ||||
\(490\) | 10.5964 | − | 55.4712i | 0.478697 | − | 2.50593i | ||||
\(491\) | −1.39060 | − | 4.15287i | −0.0627568 | − | 0.187416i | 0.912230 | − | 0.409678i | \(-0.134359\pi\) |
−0.974987 | + | 0.222261i | \(0.928656\pi\) | |||||||
\(492\) | 4.81763 | + | 14.3873i | 0.217195 | + | 0.648630i | ||||
\(493\) | −1.20739 | + | 6.32057i | −0.0543781 | + | 0.284664i | ||||
\(494\) | 4.96842 | + | 1.33412i | 0.223540 | + | 0.0600251i | ||||
\(495\) | −4.44432 | − | 0.456578i | −0.199757 | − | 0.0205216i | ||||
\(496\) | 1.65156 | − | 1.95834i | 0.0741573 | − | 0.0879320i | ||||
\(497\) | 0.865449 | + | 3.26469i | 0.0388207 | + | 0.146441i | ||||
\(498\) | 12.3719 | − | 20.9105i | 0.554396 | − | 0.937022i | ||||
\(499\) | −14.4985 | − | 14.1774i | −0.649043 | − | 0.634669i | 0.298457 | − | 0.954423i | \(-0.403528\pi\) |
−0.947501 | + | 0.319754i | \(0.896400\pi\) | |||||||
\(500\) | −56.6837 | − | 62.2026i | −2.53497 | − | 2.78178i | ||||
\(501\) | −11.0977 | + | 32.4511i | −0.495810 | + | 1.44981i | ||||
\(502\) | −39.1370 | − | 27.6014i | −1.74677 | − | 1.23191i | ||||
\(503\) | −13.9029 | + | 6.35413i | −0.619900 | + | 0.283317i | −0.700747 | − | 0.713410i | \(-0.747150\pi\) |
0.0808472 | + | 0.996727i | \(0.474237\pi\) | |||||||
\(504\) | −0.767122 | + | 0.676920i | −0.0341703 | + | 0.0301524i | ||||
\(505\) | −27.1746 | + | 10.1761i | −1.20925 | + | 0.452831i | ||||
\(506\) | 22.7252 | + | 6.57233i | 1.01026 | + | 0.292176i | ||||
\(507\) | −11.8266 | + | 15.3703i | −0.525238 | + | 0.682618i | ||||
\(508\) | −7.92204 | + | 30.6750i | −0.351484 | + | 1.36098i | ||||
\(509\) | −5.54440 | + | 6.74762i | −0.245751 | + | 0.299083i | −0.880896 | − | 0.473311i | \(-0.843059\pi\) |
0.635144 | + | 0.772394i | \(0.280941\pi\) | |||||||
\(510\) | −5.19432 | − | 8.17106i | −0.230008 | − | 0.361821i | ||||
\(511\) | 11.2509 | − | 6.51171i | 0.497710 | − | 0.288061i | ||||
\(512\) | −4.87830 | − | 20.5074i | −0.215592 | − | 0.906306i | ||||
\(513\) | 18.9722 | − | 26.7194i | 0.837642 | − | 1.17969i | ||||
\(514\) | −17.0526 | − | 58.2638i | −0.752158 | − | 2.56991i | ||||
\(515\) | 14.9913 | − | 10.5727i | 0.660597 | − | 0.465887i | ||||
\(516\) | 4.83278 | − | 8.28876i | 0.212751 | − | 0.364892i | ||||
\(517\) | 2.20181 | + | 9.52626i | 0.0968353 | + | 0.418964i | ||||
\(518\) | −5.84658 | − | 3.23565i | −0.256884 | − | 0.142166i | ||||
\(519\) | −30.9907 | − | 10.4877i | −1.36034 | − | 0.460359i | ||||
\(520\) | −2.03534 | + | 1.81931i | −0.0892555 | + | 0.0797820i | ||||
\(521\) | 7.74967 | + | 30.8207i | 0.339519 | + | 1.35028i | 0.865979 | + | 0.500081i | \(0.166696\pi\) |
−0.526459 | + | 0.850200i | \(0.676481\pi\) | |||||||
\(522\) | 5.28914 | − | 13.2153i | 0.231499 | − | 0.578420i | ||||
\(523\) | 15.6914 | + | 32.9294i | 0.686138 | + | 1.43990i | 0.887699 | + | 0.460424i | \(0.152303\pi\) |
−0.201561 | + | 0.979476i | \(0.564602\pi\) | |||||||
\(524\) | 21.3670 | + | 44.1109i | 0.933422 | + | 1.92699i | ||||
\(525\) | 14.1418 | + | 8.42829i | 0.617198 | + | 0.367841i | ||||
\(526\) | 18.5241 | + | 1.54437i | 0.807688 | + | 0.0673377i | ||||
\(527\) | −0.779833 | − | 0.492241i | −0.0339700 | − | 0.0214424i | ||||
\(528\) | 1.29881 | − | 4.23583i | 0.0565235 | − | 0.184341i | ||||
\(529\) | −29.1415 | + | 6.24620i | −1.26702 | + | 0.271574i | ||||
\(530\) | 76.5840 | + | 12.8592i | 3.32660 | + | 0.558566i | ||||
\(531\) | 1.44842 | + | 2.84945i | 0.0628563 | + | 0.123656i | ||||
\(532\) | 13.9407 | + | 2.15773i | 0.604407 | + | 0.0935495i | ||||
\(533\) | 0.865774 | + | 1.20293i | 0.0375008 | + | 0.0521047i | ||||
\(534\) | 19.7497 | − | 3.05685i | 0.854655 | − | 0.132283i | ||||
\(535\) | 12.9271 | + | 13.1356i | 0.558888 | + | 0.567900i | ||||
\(536\) | 3.67351 | − | 13.8574i | 0.158671 | − | 0.598548i | ||||
\(537\) | 11.3885 | + | 16.2583i | 0.491449 | + | 0.701597i | ||||
\(538\) | 52.2984 | − | 22.3025i | 2.25474 | − | 0.961530i | ||||
\(539\) | −5.67286 | − | 7.37264i | −0.244347 | − | 0.317562i | ||||
\(540\) | 23.4711 | + | 59.7498i | 1.01003 | + | 2.57122i | ||||
\(541\) | −5.90987 | + | 6.16091i | −0.254085 | + | 0.264878i | −0.836443 | − | 0.548054i | \(-0.815369\pi\) |
0.582358 | + | 0.812933i | \(0.302130\pi\) | |||||||
\(542\) | −17.0721 | + | 54.4325i | −0.733311 | + | 2.33808i | ||||
\(543\) | −0.974936 | + | 20.3008i | −0.0418385 | + | 0.871190i | ||||
\(544\) | −4.94167 | + | 1.92297i | −0.211872 | + | 0.0824468i | ||||
\(545\) | 53.0031 | − | 6.13152i | 2.27040 | − | 0.262645i | ||||
\(546\) | 0.610739 | − | 1.00275i | 0.0261372 | − | 0.0429136i | ||||
\(547\) | −2.06186 | − | 37.8742i | −0.0881589 | − | 1.61939i | −0.628411 | − | 0.777882i | \(-0.716294\pi\) |
0.540252 | − | 0.841504i | \(-0.318329\pi\) | |||||||
\(548\) | −1.71035 | + | 12.9647i | −0.0730625 | + | 0.553824i | ||||
\(549\) | 0.812567 | − | 5.14099i | 0.0346795 | − | 0.219412i | ||||
\(550\) | −40.2437 | + | 0.515016i | −1.71600 | + | 0.0219603i | ||||
\(551\) | −50.5762 | + | 16.3974i | −2.15462 | + | 0.698554i | ||||
\(552\) | −3.44528 | − | 17.4299i | −0.146641 | − | 0.741864i | ||||
\(553\) | 0.441846 | − | 1.54629i | 0.0187892 | − | 0.0657551i | ||||
\(554\) | −3.29239 | − | 23.7822i | −0.139880 | − | 1.01041i | ||||
\(555\) | −16.5254 | + | 14.3952i | −0.701463 | + | 0.611043i | ||||
\(556\) | −6.14335 | + | 2.90333i | −0.260536 | + | 0.123129i | ||||
\(557\) | −4.95420 | + | 32.6999i | −0.209916 | + | 1.38554i | 0.600471 | + | 0.799646i | \(0.294980\pi\) |
−0.810387 | + | 0.585894i | \(0.800743\pi\) | |||||||
\(558\) | 1.48565 | + | 1.39798i | 0.0628924 | + | 0.0591812i | ||||
\(559\) | 0.211061 | − | 0.913171i | 0.00892695 | − | 0.0386230i | ||||
\(560\) | 4.81852 | − | 5.35610i | 0.203620 | − | 0.226336i | ||||
\(561\) | −1.57453 | − | 0.254030i | −0.0664766 | − | 0.0107252i | ||||
\(562\) | 4.72874 | − | 0.485797i | 0.199470 | − | 0.0204921i | ||||
\(563\) | −9.06852 | + | 13.3054i | −0.382193 | + | 0.560757i | −0.968399 | − | 0.249404i | \(-0.919765\pi\) |
0.586207 | + | 0.810161i | \(0.300621\pi\) | |||||||
\(564\) | 20.6665 | − | 17.5425i | 0.870215 | − | 0.738672i | ||||
\(565\) | −15.9721 | + | 9.38115i | −0.671951 | + | 0.394668i | ||||
\(566\) | −25.9098 | + | 16.8221i | −1.08907 | + | 0.707086i | ||||
\(567\) | −3.46059 | − | 4.38036i | −0.145331 | − | 0.183958i | ||||
\(568\) | −1.74192 | + | 5.95164i | −0.0730894 | + | 0.249725i | ||||
\(569\) | −6.64948 | − | 19.4439i | −0.278761 | − | 0.815129i | −0.993303 | − | 0.115537i | \(-0.963141\pi\) |
0.714543 | − | 0.699592i | \(-0.246635\pi\) | |||||||
\(570\) | 38.5133 | − | 70.1193i | 1.61315 | − | 2.93697i | ||||
\(571\) | −19.2157 | − | 31.0997i | −0.804150 | − | 1.30148i | −0.950024 | − | 0.312178i | \(-0.898941\pi\) |
0.145874 | − | 0.989303i | \(-0.453401\pi\) | |||||||
\(572\) | 0.00531064 | + | 1.66000i | 0.000222049 | + | 0.0694079i | ||||
\(573\) | 3.67541 | + | 5.70080i | 0.153542 | + | 0.238154i | ||||
\(574\) | 4.69995 | + | 5.22430i | 0.196172 | + | 0.218058i | ||||
\(575\) | 78.6008 | − | 43.4998i | 3.27788 | − | 1.81407i | ||||
\(576\) | 8.77302 | − | 1.58875i | 0.365542 | − | 0.0661981i | ||||
\(577\) | 11.2503 | − | 2.48679i | 0.468357 | − | 0.103527i | 0.0246452 | − | 0.999696i | \(-0.492154\pi\) |
0.443711 | + | 0.896170i | \(0.353662\pi\) | |||||||
\(578\) | −17.5021 | − | 31.3876i | −0.727993 | − | 1.30555i | ||||
\(579\) | −6.22039 | − | 20.2867i | −0.258511 | − | 0.843085i | ||||
\(580\) | 27.3320 | − | 100.503i | 1.13490 | − | 4.17314i | ||||
\(581\) | 0.809888 | − | 6.45744i | 0.0335998 | − | 0.267900i | ||||
\(582\) | 24.9497 | − | 25.0296i | 1.03420 | − | 1.03751i | ||||
\(583\) | 9.96070 | − | 8.02565i | 0.412530 | − | 0.332388i | ||||
\(584\) | 23.8637 | + | 0.458122i | 0.987488 | + | 0.0189572i | ||||
\(585\) | 0.756138 | + | 0.944619i | 0.0312624 | + | 0.0390552i | ||||
\(586\) | 3.22670 | − | 47.9565i | 0.133294 | − | 1.98106i | ||||
\(587\) | 4.70909 | − | 28.6055i | 0.194365 | − | 1.18068i | −0.693460 | − | 0.720495i | \(-0.743915\pi\) |
0.887825 | − | 0.460182i | \(-0.152216\pi\) | |||||||
\(588\) | −10.9456 | + | 23.3536i | −0.451389 | + | 0.963085i | ||||
\(589\) | 0.462868 | − | 7.60553i | 0.0190721 | − | 0.313380i | ||||
\(590\) | 22.3466 | + | 33.7060i | 0.919994 | + | 1.38765i | ||||
\(591\) | −27.8089 | − | 7.08703i | −1.14391 | − | 0.291522i | ||||
\(592\) | 3.40190 | + | 5.92139i | 0.139817 | + | 0.243368i | ||||
\(593\) | 13.3987 | − | 15.6828i | 0.550218 | − | 0.644014i | −0.413637 | − | 0.910442i | \(-0.635742\pi\) |
0.963855 | + | 0.266428i | \(0.0858435\pi\) | |||||||
\(594\) | 17.1635 | + | 6.30233i | 0.704226 | + | 0.258588i | ||||
\(595\) | −2.14774 | − | 1.45378i | −0.0880488 | − | 0.0595994i | ||||
\(596\) | −11.5476 | + | 27.8154i | −0.473007 | + | 1.13936i | ||||
\(597\) | −28.7289 | + | 15.1865i | −1.17580 | + | 0.621541i | ||||
\(598\) | −3.04837 | − | 5.63515i | −0.124657 | − | 0.230439i | ||||
\(599\) | 2.03743 | + | 5.28576i | 0.0832469 | + | 0.215970i | 0.968437 | − | 0.249260i | \(-0.0801874\pi\) |
−0.885190 | + | 0.465230i | \(0.845971\pi\) | |||||||
\(600\) | 14.2117 | + | 26.6781i | 0.580192 | + | 1.08913i | ||||
\(601\) | 18.7611 | − | 17.8818i | 0.765282 | − | 0.729412i | −0.203025 | − | 0.979174i | \(-0.565077\pi\) |
0.968307 | + | 0.249762i | \(0.0803523\pi\) | |||||||
\(602\) | 0.524796 | − | 4.41281i | 0.0213891 | − | 0.179853i | ||||
\(603\) | −6.04439 | − | 1.95967i | −0.246147 | − | 0.0798038i | ||||
\(604\) | −14.5413 | − | 4.50966i | −0.591676 | − | 0.183496i | ||||
\(605\) | 23.9025 | − | 27.6174i | 0.971774 | − | 1.12281i | ||||
\(606\) | 22.7788 | − | 2.48752i | 0.925328 | − | 0.101049i | ||||
\(607\) | −9.96780 | − | 8.03137i | −0.404581 | − | 0.325983i | 0.403581 | − | 0.914944i | \(-0.367765\pi\) |
−0.808162 | + | 0.588961i | \(0.799537\pi\) | |||||||
\(608\) | −33.5826 | − | 28.1385i | −1.36196 | − | 1.14117i | ||||
\(609\) | 0.349332 | + | 12.1293i | 0.0141556 | + | 0.491505i | ||||
\(610\) | 2.73788 | − | 65.7933i | 0.110853 | − | 2.66389i | ||||
\(611\) | 1.42058 | − | 2.23468i | 0.0574705 | − | 0.0904055i | ||||
\(612\) | −0.432738 | − | 1.32032i | −0.0174924 | − | 0.0533709i | ||||
\(613\) | 11.6230 | + | 9.12220i | 0.469448 | + | 0.368442i | 0.823996 | − | 0.566596i | \(-0.191740\pi\) |
−0.354548 | + | 0.935038i | \(0.615365\pi\) | |||||||
\(614\) | −21.8867 | − | 44.4564i | −0.883274 | − | 1.79412i | ||||
\(615\) | 21.3701 | − | 8.63233i | 0.861727 | − | 0.348089i | ||||
\(616\) | 0.238239 | + | 2.11878i | 0.00959891 | + | 0.0853681i | ||||
\(617\) | 45.6909 | − | 1.46223i | 1.83945 | − | 0.0588673i | 0.907203 | − | 0.420694i | \(-0.138213\pi\) |
0.932245 | + | 0.361827i | \(0.117847\pi\) | |||||||
\(618\) | −13.5334 | + | 5.16686i | −0.544393 | + | 0.207841i | ||||
\(619\) | 25.4700 | + | 9.53781i | 1.02373 | + | 0.383357i | 0.805534 | − | 0.592549i | \(-0.201878\pi\) |
0.218192 | + | 0.975906i | \(0.429984\pi\) | |||||||
\(620\) | 11.9738 | + | 8.91199i | 0.480881 | + | 0.357914i | ||||
\(621\) | −40.4078 | + | 5.72583i | −1.62151 | + | 0.229770i | ||||
\(622\) | 7.98012 | + | 29.3437i | 0.319974 | + | 1.17658i | ||||
\(623\) | 4.52679 | − | 2.85737i | 0.181362 | − | 0.114478i | ||||
\(624\) | −1.06437 | + | 0.553956i | −0.0426089 | + | 0.0221760i | ||||
\(625\) | −46.0087 | + | 47.3528i | −1.84035 | + | 1.89411i | ||||
\(626\) | 4.34723 | − | 7.56684i | 0.173750 | − | 0.302432i | ||||
\(627\) | −4.42332 | − | 12.4132i | −0.176650 | − | 0.495735i | ||||
\(628\) | 6.45134 | + | 64.8369i | 0.257436 | + | 2.58728i | ||||
\(629\) | 1.94352 | − | 1.50536i | 0.0774931 | − | 0.0600225i | ||||
\(630\) | 4.05022 | + | 4.06320i | 0.161365 | + | 0.161882i | ||||
\(631\) | 45.6034 | + | 4.98003i | 1.81544 | + | 0.198252i | 0.951980 | − | 0.306159i | \(-0.0990440\pi\) |
0.863464 | + | 0.504411i | \(0.168290\pi\) | |||||||
\(632\) | 2.16331 | − | 2.00971i | 0.0860518 | − | 0.0799420i | ||||
\(633\) | 2.92769 | − | 8.05266i | 0.116365 | − | 0.320064i | ||||
\(634\) | 4.57360 | + | 31.5495i | 0.181641 | + | 1.25299i | ||||
\(635\) | 47.2418 | + | 9.18114i | 1.87473 | + | 0.364342i | ||||
\(636\) | −32.4418 | − | 14.3281i | −1.28640 | − | 0.568147i | ||||
\(637\) | −0.345486 | + | 2.49558i | −0.0136886 | + | 0.0988785i | ||||
\(638\) | −16.2336 | − | 24.8291i | −0.642695 | − | 0.982994i | ||||
\(639\) | 2.59206 | + | 0.914322i | 0.102540 | + | 0.0361700i | ||||
\(640\) | 48.0629 | − | 14.5692i | 1.89985 | − | 0.575899i | ||||
\(641\) | −19.2889 | − | 8.81573i | −0.761866 | − | 0.348201i | −0.00346990 | − | 0.999994i | \(-0.501105\pi\) |
−0.758397 | + | 0.651793i | \(0.774017\pi\) | |||||||
\(642\) | −7.33041 | − | 12.5725i | −0.289308 | − | 0.496196i | ||||
\(643\) | 15.3028 | − | 14.3998i | 0.603484 | − | 0.567873i | −0.321962 | − | 0.946753i | \(-0.604342\pi\) |
0.925446 | + | 0.378880i | \(0.123691\pi\) | |||||||
\(644\) | −9.98711 | − | 14.4536i | −0.393547 | − | 0.569552i | ||||
\(645\) | −13.0138 | − | 6.56281i | −0.512416 | − | 0.258410i | ||||
\(646\) | −4.76557 | + | 7.60363i | −0.187499 | + | 0.299161i | ||||
\(647\) | −22.6783 | − | 17.5655i | −0.891576 | − | 0.690573i | 0.0599303 | − | 0.998203i | \(-0.480912\pi\) |
−0.951506 | + | 0.307630i | \(0.900464\pi\) | |||||||
\(648\) | −1.27553 | − | 10.1701i | −0.0501076 | − | 0.399521i | ||||
\(649\) | 6.59561 | + | 0.934604i | 0.258900 | + | 0.0366864i | ||||
\(650\) | 7.74436 | + | 7.67039i | 0.303759 | + | 0.300857i | ||||
\(651\) | −1.63623 | − | 0.588961i | −0.0641289 | − | 0.0230832i | ||||
\(652\) | 29.1385 | + | 12.2063i | 1.14115 | + | 0.478036i | ||||
\(653\) | 3.30926 | + | 38.2161i | 0.129501 | + | 1.49551i | 0.723096 | + | 0.690747i | \(0.242718\pi\) |
−0.593595 | + | 0.804764i | \(0.702292\pi\) | |||||||
\(654\) | −41.7545 | − | 5.64437i | −1.63273 | − | 0.220712i | ||||
\(655\) | 64.9112 | − | 36.4681i | 2.53629 | − | 1.42492i | ||||
\(656\) | −1.34752 | − | 7.05416i | −0.0526120 | − | 0.275419i | ||||
\(657\) | 0.777714 | − | 10.5504i | 0.0303415 | − | 0.411610i | ||||
\(658\) | 5.54557 | − | 11.2642i | 0.216189 | − | 0.439125i | ||||
\(659\) | 8.06809 | − | 3.87630i | 0.314288 | − | 0.150999i | −0.269284 | − | 0.963061i | \(-0.586787\pi\) |
0.583572 | + | 0.812061i | \(0.301655\pi\) | |||||||
\(660\) | 25.0944 | + | 6.05436i | 0.976798 | + | 0.235666i | ||||
\(661\) | −2.81663 | + | 3.75916i | −0.109554 | + | 0.146214i | −0.851711 | − | 0.524013i | \(-0.824435\pi\) |
0.742156 | + | 0.670227i | \(0.233803\pi\) | |||||||
\(662\) | 20.4826 | − | 23.3622i | 0.796078 | − | 0.907998i | ||||
\(663\) | 0.250072 | + | 0.352187i | 0.00971198 | + | 0.0136778i | ||||
\(664\) | 7.40751 | − | 9.37632i | 0.287467 | − | 0.363872i | ||||
\(665\) | 1.98523 | − | 21.3366i | 0.0769840 | − | 0.827400i | ||||
\(666\) | −4.85554 | + | 2.44864i | −0.188148 | + | 0.0948829i | ||||
\(667\) | 58.1386 | + | 31.6912i | 2.25113 | + | 1.22709i | ||||
\(668\) | −27.8596 | + | 55.6866i | −1.07792 | + | 2.15458i | ||||
\(669\) | −29.7921 | + | 13.3863i | −1.15183 | + | 0.517544i | ||||
\(670\) | −78.8150 | − | 15.8412i | −3.04489 | − | 0.611997i | ||||
\(671\) | −7.80373 | − | 7.53383i | −0.301260 | − | 0.290840i | ||||
\(672\) | −8.31633 | + | 5.55199i | −0.320809 | + | 0.214172i | ||||
\(673\) | −7.43230 | + | 22.6766i | −0.286494 | + | 0.874119i | 0.700541 | + | 0.713612i | \(0.252942\pi\) |
−0.987035 | + | 0.160507i | \(0.948687\pi\) | |||||||
\(674\) | 17.5469 | + | 21.3549i | 0.675883 | + | 0.822559i | ||||
\(675\) | 62.9641 | − | 29.2653i | 2.42349 | − | 1.12642i | ||||
\(676\) | −25.0167 | + | 24.7777i | −0.962179 | + | 0.952988i | ||||
\(677\) | 35.1539 | − | 26.1646i | 1.35107 | − | 1.00559i | 0.353540 | − | 0.935420i | \(-0.384978\pi\) |
0.997535 | − | 0.0701696i | \(-0.0223541\pi\) | |||||||
\(678\) | 14.0515 | − | 4.06383i | 0.539646 | − | 0.156070i | ||||
\(679\) | 3.46114 | − | 8.81095i | 0.132826 | − | 0.338133i | ||||
\(680\) | −1.99328 | − | 4.32466i | −0.0764387 | − | 0.165843i | ||||
\(681\) | −0.430148 | − | 19.2048i | −0.0164833 | − | 0.735929i | ||||
\(682\) | 4.16256 | − | 0.864386i | 0.159393 | − | 0.0330990i | ||||
\(683\) | −32.3018 | + | 34.1082i | −1.23600 | + | 1.30511i | −0.299643 | + | 0.954052i | \(0.596867\pi\) |
−0.936353 | + | 0.351061i | \(0.885821\pi\) | |||||||
\(684\) | 7.84047 | − | 8.38574i | 0.299788 | − | 0.320637i | ||||
\(685\) | 19.8155 | + | 1.39696i | 0.757110 | + | 0.0533750i | ||||
\(686\) | −0.730720 | + | 25.3717i | −0.0278990 | + | 0.968697i | ||||
\(687\) | −6.06516 | + | 6.82920i | −0.231400 | + | 0.260550i | ||||
\(688\) | −2.79250 | + | 3.58158i | −0.106463 | + | 0.136546i | ||||
\(689\) | −3.44138 | − | 0.398107i | −0.131106 | − | 0.0151667i | ||||
\(690\) | −96.3861 | + | 25.2216i | −3.66936 | + | 0.960171i | ||||
\(691\) | −11.3152 | − | 36.0771i | −0.430450 | − | 1.37244i | −0.878206 | − | 0.478283i | \(-0.841259\pi\) |
0.447756 | − | 0.894156i | \(-0.352223\pi\) | |||||||
\(692\) | −53.2076 | − | 26.4068i | −2.02265 | − | 1.00384i | ||||
\(693\) | 0.943454 | − | 0.0543891i | 0.0358388 | − | 0.00206607i | ||||
\(694\) | −29.7598 | + | 32.6572i | −1.12966 | + | 1.23965i | ||||
\(695\) | 4.96906 | + | 9.04691i | 0.188487 | + | 0.343169i | ||||
\(696\) | −10.9749 | + | 19.3892i | −0.416002 | + | 0.734946i | ||||
\(697\) | −2.44885 | + | 0.828725i | −0.0927568 | + | 0.0313902i | ||||
\(698\) | −22.7577 | − | 4.12132i | −0.861393 | − | 0.155994i | ||||
\(699\) | −3.72290 | + | 0.142993i | −0.140813 | + | 0.00540848i | ||||
\(700\) | 23.3939 | + | 18.6036i | 0.884208 | + | 0.703151i | ||||
\(701\) | −2.35523 | − | 1.42418i | −0.0889558 | − | 0.0537906i | 0.472266 | − | 0.881456i | \(-0.343436\pi\) |
−0.561222 | + | 0.827666i | \(0.689668\pi\) | |||||||
\(702\) | −2.04395 | − | 4.51029i | −0.0771438 | − | 0.170230i | ||||
\(703\) | 18.6325 | + | 8.08708i | 0.702738 | + | 0.305010i | ||||
\(704\) | 7.77760 | − | 16.8745i | 0.293129 | − | 0.635981i | ||||
\(705\) | −28.5058 | − | 29.7166i | −1.07359 | − | 1.11919i | ||||
\(706\) | −44.2649 | + | 21.9686i | −1.66593 | + | 0.826798i | ||||
\(707\) | 5.33180 | − | 3.04053i | 0.200523 | − | 0.114351i | ||||
\(708\) | −6.08800 | − | 17.4368i | −0.228801 | − | 0.655316i | ||||
\(709\) | 0.0483761 | − | 0.00940158i | 0.00181680 | − | 0.000353084i | −0.189866 | − | 0.981810i | \(-0.560805\pi\) |
0.191682 | + | 0.981457i | \(0.438606\pi\) | |||||||
\(710\) | 33.9064 | + | 7.72260i | 1.27248 | + | 0.289824i | ||||
\(711\) | −0.837322 | − | 1.00584i | −0.0314020 | − | 0.0377220i | ||||
\(712\) | 9.82709 | − | 0.188655i | 0.368286 | − | 0.00707014i | ||||
\(713\) | −7.27364 | + | 6.09450i | −0.272400 | + | 0.228241i | ||||
\(714\) | 1.35998 | + | 1.53130i | 0.0508958 | + | 0.0573073i | ||||
\(715\) | 2.51647 | − | 0.161233i | 0.0941107 | − | 0.00602977i | ||||
\(716\) | 16.5358 | + | 32.0216i | 0.617973 | + | 1.19671i | ||||
\(717\) | −1.92390 | − | 11.2377i | −0.0718492 | − | 0.419680i | ||||
\(718\) | 7.98385 | + | 50.5126i | 0.297955 | + | 1.88511i | ||||
\(719\) | −25.0172 | + | 0.640414i | −0.932982 | + | 0.0238834i | −0.489125 | − | 0.872214i | \(-0.662684\pi\) |
−0.443858 | + | 0.896097i | \(0.646390\pi\) | |||||||
\(720\) | −1.39333 | − | 5.69517i | −0.0519264 | − | 0.212246i | ||||
\(721\) | −2.77432 | + | 2.71287i | −0.103321 | + | 0.101033i | ||||
\(722\) | −32.7107 | − | 1.88574i | −1.21737 | − | 0.0701799i | ||||
\(723\) | −20.4220 | − | 11.6459i | −0.759503 | − | 0.433116i | ||||
\(724\) | −6.69155 | + | 36.2879i | −0.248690 | + | 1.34863i | ||||
\(725\) | −110.299 | − | 22.9044i | −4.09641 | − | 0.850649i | ||||
\(726\) | −23.6763 | + | 16.4719i | −0.878709 | + | 0.611331i | ||||
\(727\) | −25.5692 | + | 15.9118i | −0.948308 | + | 0.590134i | −0.912435 | − | 0.409222i | \(-0.865800\pi\) |
−0.0358734 | + | 0.999356i | \(0.511421\pi\) | |||||||
\(728\) | 0.363729 | − | 0.448483i | 0.0134807 | − | 0.0166219i | ||||
\(729\) | −29.9253 | + | 2.10968i | −1.10834 | + | 0.0781364i | ||||
\(730\) | −5.56486 | − | 133.728i | −0.205965 | − | 4.94949i | ||||
\(731\) | 1.41497 | + | 0.818946i | 0.0523345 | + | 0.0302898i | ||||
\(732\) | −8.63197 | + | 28.8079i | −0.319047 | + | 1.06477i | ||||
\(733\) | 22.1174 | − | 39.6644i | 0.816924 | − | 1.46504i | −0.0671758 | − | 0.997741i | \(-0.521399\pi\) |
0.884100 | − | 0.467297i | \(-0.154772\pi\) | |||||||
\(734\) | 51.6980 | + | 11.0810i | 1.90821 | + | 0.409006i | ||||
\(735\) | 36.4198 | + | 14.4412i | 1.34336 | + | 0.532671i | ||||
\(736\) | 3.31462 | + | 54.4635i | 0.122178 | + | 2.00755i | ||||
\(737\) | −10.5720 | + | 7.97423i | −0.389424 | + | 0.293735i | ||||
\(738\) | 5.66731 | − | 0.766107i | 0.208617 | − | 0.0282008i | ||||
\(739\) | −2.37743 | − | 10.5946i | −0.0874552 | − | 0.389729i | 0.912351 | − | 0.409409i | \(-0.134265\pi\) |
−0.999806 | + | 0.0196795i | \(0.993735\pi\) | |||||||
\(740\) | −33.2335 | + | 21.8806i | −1.22169 | + | 0.804346i | ||||
\(741\) | −1.55583 | + | 3.21191i | −0.0571548 | + | 0.117993i | ||||
\(742\) | −16.4257 | − | 0.105099i | −0.603005 | − | 0.00385829i | ||||
\(743\) | −31.7317 | − | 33.9385i | −1.16412 | − | 1.24508i | −0.964173 | − | 0.265275i | \(-0.914537\pi\) |
−0.199949 | − | 0.979806i | \(-0.564078\pi\) | |||||||
\(744\) | −2.01125 | − | 2.47990i | −0.0737360 | − | 0.0909175i | ||||
\(745\) | 43.2405 | + | 14.9422i | 1.58421 | + | 0.547441i | ||||
\(746\) | 1.78839 | + | 0.682780i | 0.0654775 | + | 0.0249984i | ||||
\(747\) | −3.97123 | − | 3.50427i | −0.145300 | − | 0.128215i | ||||
\(748\) | −2.77110 | − | 0.839998i | −0.101321 | − | 0.0307134i | ||||
\(749\) | −3.14201 | − | 2.30747i | −0.114807 | − | 0.0843130i | ||||
\(750\) | 86.0482 | − | 52.7873i | 3.14204 | − | 1.92752i | ||||
\(751\) | −0.0548659 | + | 17.1499i | −0.00200208 | + | 0.625810i | 0.948778 | + | 0.315943i | \(0.102321\pi\) |
−0.950780 | + | 0.309866i | \(0.899716\pi\) | |||||||
\(752\) | −10.8064 | + | 6.91823i | −0.394069 | + | 0.252282i | ||||
\(753\) | 23.9025 | − | 23.0758i | 0.871057 | − | 0.840930i | ||||
\(754\) | −1.70891 | + | 7.85026i | −0.0622350 | + | 0.285890i | ||||
\(755\) | −5.49592 | + | 22.4643i | −0.200017 | + | 0.817559i | ||||
\(756\) | −6.91428 | − | 11.6863i | −0.251470 | − | 0.425026i | ||||
\(757\) | −6.20619 | + | 6.30627i | −0.225568 | + | 0.229205i | −0.816250 | − | 0.577700i | \(-0.803951\pi\) |
0.590682 | + | 0.806905i | \(0.298859\pi\) | |||||||
\(758\) | −1.07555 | + | 1.49439i | −0.0390656 | + | 0.0542788i | ||||
\(759\) | −7.43661 | + | 14.6299i | −0.269932 | + | 0.531031i | ||||
\(760\) | 23.3905 | − | 31.6375i | 0.848463 | − | 1.14761i | ||||
\(761\) | 7.14532 | − | 10.6292i | 0.259018 | − | 0.385308i | −0.677731 | − | 0.735310i | \(-0.737037\pi\) |
0.936749 | + | 0.350001i | \(0.113819\pi\) | |||||||
\(762\) | −34.3597 | − | 16.2383i | −1.24472 | − | 0.588252i | ||||
\(763\) | −10.8616 | + | 3.06611i | −0.393217 | + | 0.111001i | ||||
\(764\) | 5.22625 | + | 11.1508i | 0.189079 | + | 0.403420i | ||||
\(765\) | −1.96200 | + | 0.777973i | −0.0709363 | + | 0.0281277i | ||||
\(766\) | 37.9464 | − | 6.37155i | 1.37106 | − | 0.230214i | ||||
\(767\) | −1.07254 | − | 1.45069i | −0.0387270 | − | 0.0523814i | ||||
\(768\) | −2.09723 | + | 0.0939947i | −0.0756773 | + | 0.00339174i | ||||
\(769\) | −15.6485 | − | 9.19112i | −0.564301 | − | 0.331440i | 0.196419 | − | 0.980520i | \(-0.437069\pi\) |
−0.760720 | + | 0.649080i | \(0.775154\pi\) | |||||||
\(770\) | 11.7782 | − | 2.05524i | 0.424458 | − | 0.0740658i | ||||
\(771\) | 41.9218 | − | 4.03586i | 1.50978 | − | 0.145348i | ||||
\(772\) | −6.25767 | − | 38.0125i | −0.225219 | − | 1.36810i | ||||
\(773\) | 34.0820 | + | 9.62095i | 1.22585 | + | 0.346042i | 0.822372 | − | 0.568950i | \(-0.192650\pi\) |
0.403473 | + | 0.914992i | \(0.367803\pi\) | |||||||
\(774\) | −2.72695 | − | 2.37544i | −0.0980181 | − | 0.0853834i | ||||
\(775\) | 8.83471 | − | 13.5126i | 0.317352 | − | 0.485387i | ||||
\(776\) | 13.8091 | − | 10.5552i | 0.495718 | − | 0.378910i | ||||
\(777\) | 2.96587 | − | 3.56279i | 0.106400 | − | 0.127814i | ||||
\(778\) | 6.19370 | − | 7.73759i | 0.222055 | − | 0.277406i | ||||
\(779\) | −15.7424 | − | 14.4381i | −0.564031 | − | 0.517300i | ||||
\(780\) | −3.59842 | − | 5.99408i | −0.128844 | − | 0.214623i | ||||
\(781\) | 4.65989 | − | 3.33124i | 0.166744 | − | 0.119201i | ||||
\(782\) | 10.9566 | − | 2.20218i | 0.391806 | − | 0.0787498i | ||||
\(783\) | 43.1013 | + | 27.5933i | 1.54031 | + | 0.986106i | ||||
\(784\) | 6.61509 | − | 10.2604i | 0.236253 | − | 0.366444i | ||||
\(785\) | 97.7134 | − | 15.7648i | 3.48754 | − | 0.562670i | ||||
\(786\) | −56.7828 | + | 15.2474i | −2.02537 | + | 0.543855i | ||||
\(787\) | 2.10705 | + | 28.5840i | 0.0751081 | + | 1.01891i | 0.894905 | + | 0.446256i | \(0.147243\pi\) |
−0.819797 | + | 0.572654i | \(0.805914\pi\) | |||||||
\(788\) | −48.3099 | − | 19.5145i | −1.72097 | − | 0.695175i | ||||
\(789\) | −3.46361 | + | 12.4216i | −0.123308 | + | 0.442221i | ||||
\(790\) | −11.9858 | − | 11.4240i | −0.426437 | − | 0.406449i | ||||
\(791\) | 3.01926 | − | 2.49710i | 0.107353 | − | 0.0887867i | ||||
\(792\) | 1.53401 | + | 0.810895i | 0.0545085 | + | 0.0288139i | ||||
\(793\) | 0.0281938 | + | 2.93752i | 0.00100119 | + | 0.104315i | ||||
\(794\) | −2.47544 | − | 1.01841i | −0.0878502 | − | 0.0361420i | ||||
\(795\) | −18.7313 | + | 50.5120i | −0.664330 | + | 1.79147i | ||||
\(796\) | −55.3824 | + | 20.3361i | −1.96298 | + | 0.720794i | ||||
\(797\) | 3.07449 | + | 0.762612i | 0.108904 | + | 0.0270131i | 0.294822 | − | 0.955552i | \(-0.404740\pi\) |
−0.185918 | + | 0.982565i | \(0.559526\pi\) | |||||||
\(798\) | −5.68006 | + | 15.9400i | −0.201072 | + | 0.564269i | ||||
\(799\) | 3.00036 | + | 3.51183i | 0.106145 | + | 0.124240i | ||||
\(800\) | −32.2766 | − | 87.0390i | −1.14115 | − | 3.07729i | ||||
\(801\) | 0.153276 | − | 4.35375i | 0.00541573 | − | 0.153832i | ||||
\(802\) | 5.00614 | + | 10.0064i | 0.176773 | + | 0.353340i | ||||
\(803\) | −17.0788 | − | 13.9421i | −0.602699 | − | 0.492006i | ||||
\(804\) | 33.0928 | + | 15.8994i | 1.16709 | + | 0.560729i | ||||
\(805\) | −20.9936 | + | 16.4767i | −0.739928 | + | 0.580726i | ||||
\(806\) | −0.957597 | − | 0.639292i | −0.0337299 | − | 0.0225181i | ||||
\(807\) | 8.38977 | + | 38.5402i | 0.295334 | + | 1.35668i | ||||
\(808\) | 11.2659 | + | 0.288396i | 0.396333 | + | 0.0101457i | ||||
\(809\) | 7.33357 | + | 55.5894i | 0.257834 | + | 1.95442i | 0.296112 | + | 0.955153i | \(0.404310\pi\) |
−0.0382773 | + | 0.999267i | \(0.512187\pi\) | |||||||
\(810\) | −56.4905 | + | 10.6039i | −1.98488 | + | 0.372584i | ||||
\(811\) | −0.0108509 | + | 0.678295i | −0.000381025 | + | 0.0238182i | −0.999992 | − | 0.00408500i | \(-0.998700\pi\) |
0.999611 | + | 0.0279031i | \(0.00888300\pi\) | |||||||
\(812\) | −2.32152 | + | 21.9080i | −0.0814694 | + | 0.768819i | ||||
\(813\) | −34.8691 | − | 18.7187i | −1.22291 | − | 0.656493i | ||||
\(814\) | −1.62590 | + | 11.2158i | −0.0569879 | + | 0.393112i | ||||
\(815\) | 15.8189 | − | 45.3075i | 0.554112 | − | 1.58705i | ||||
\(816\) | −0.379558 | − | 2.05832i | −0.0132872 | − | 0.0720558i | ||||
\(817\) | −0.302479 | + | 13.5047i | −0.0105824 | + | 0.472470i | ||||
\(818\) | 36.9675 | − | 16.0450i | 1.29254 | − | 0.561001i | ||||
\(819\) | −0.189723 | − | 0.171782i | −0.00662946 | − | 0.00600256i | ||||
\(820\) | 40.5485 | − | 10.3337i | 1.41602 | − | 0.360868i | ||||
\(821\) | −9.25439 | − | 9.52475i | −0.322980 | − | 0.332416i | 0.536198 | − | 0.844092i | \(-0.319860\pi\) |
−0.859179 | + | 0.511676i | \(0.829025\pi\) | |||||||
\(822\) | −14.8907 | − | 4.93325i | −0.519371 | − | 0.172067i | ||||
\(823\) | −15.2823 | + | 20.9495i | −0.532706 | + | 0.730255i | −0.987022 | − | 0.160586i | \(-0.948662\pi\) |
0.454316 | + | 0.890841i | \(0.349884\pi\) | |||||||
\(824\) | −6.93637 | + | 1.62660i | −0.241640 | + | 0.0566652i | ||||
\(825\) | 4.88752 | − | 27.4899i | 0.170162 | − | 0.957075i | ||||
\(826\) | −5.80203 | − | 6.28568i | −0.201879 | − | 0.218707i | ||||
\(827\) | 17.5581 | − | 36.8468i | 0.610556 | − | 1.28129i | −0.330745 | − | 0.943720i | \(-0.607300\pi\) |
0.941301 | − | 0.337568i | \(-0.109604\pi\) | |||||||
\(828\) | −14.2970 | + | 0.0914786i | −0.496855 | + | 0.00317910i | ||||
\(829\) | 6.79356 | + | 7.17346i | 0.235950 | + | 0.249144i | 0.833280 | − | 0.552851i | \(-0.186460\pi\) |
−0.597330 | + | 0.801996i | \(0.703772\pi\) | |||||||
\(830\) | −55.0052 | − | 38.2679i | −1.90926 | − | 1.32830i | ||||
\(831\) | 16.6342 | + | 0.852198i | 0.577035 | + | 0.0295624i | ||||
\(832\) | −4.73475 | + | 1.70427i | −0.164148 | + | 0.0590850i | ||||
\(833\) | −3.98522 | − | 1.85231i | −0.138080 | − | 0.0641786i | ||||
\(834\) | −2.03813 | − | 7.89186i | −0.0705747 | − | 0.273273i | ||||
\(835\) | 87.0054 | + | 37.1033i | 3.01095 | + | 1.28401i | ||||
\(836\) | −4.93933 | − | 23.4095i | −0.170830 | − | 0.809635i | ||||
\(837\) | −5.93910 | + | 4.30341i | −0.205285 | + | 0.148748i | ||||
\(838\) | −17.4946 | − | 43.7116i | −0.604340 | − | 1.50999i | ||||
\(839\) | 11.2430 | − | 12.1802i | 0.388150 | − | 0.420506i | −0.510014 | − | 0.860166i | \(-0.670360\pi\) |
0.898164 | + | 0.439661i | \(0.144901\pi\) | |||||||
\(840\) | −5.43031 | − | 7.15164i | −0.187364 | − | 0.246755i | ||||
\(841\) | −19.1106 | − | 50.5406i | −0.658987 | − | 1.74278i | ||||
\(842\) | 1.74926 | − | 7.79526i | 0.0602833 | − | 0.268642i | ||||
\(843\) | −0.284501 | + | 3.28549i | −0.00979875 | + | 0.113158i | ||||
\(844\) | 7.22600 | − | 13.7762i | 0.248729 | − | 0.474197i | ||||
\(845\) | 39.8775 | + | 35.6449i | 1.37183 | + | 1.22622i | ||||
\(846\) | −5.03313 | − | 8.89197i | −0.173043 | − | 0.305712i | ||||
\(847\) | −4.06091 | + | 6.57240i | −0.139535 | + | 0.225830i | ||||
\(848\) | 14.3090 | + | 8.77802i | 0.491373 | + | 0.301438i | ||||
\(849\) | −8.09026 | − | 19.8451i | −0.277657 | − | 0.681084i | ||||
\(850\) | −16.7521 | + | 8.99297i | −0.574592 | + | 0.308456i | ||||
\(851\) | −8.64338 | − | 23.7738i | −0.296291 | − | 0.814955i | ||||
\(852\) | −14.1342 | − | 7.24167i | −0.484231 | − | 0.248095i | ||||
\(853\) | 9.68764 | − | 49.0103i | 0.331698 | − | 1.67808i | −0.342491 | − | 0.939521i | \(-0.611271\pi\) |
0.674190 | − | 0.738558i | \(-0.264493\pi\) | |||||||
\(854\) | 1.64490 | + | 13.8313i | 0.0562872 | + | 0.473298i | ||||
\(855\) | −13.4383 | − | 11.1143i | −0.459581 | − | 0.380100i | ||||
\(856\) | −2.74439 | − | 6.61058i | −0.0938012 | − | 0.225945i | ||||
\(857\) | −7.07895 | + | 34.6460i | −0.241812 | + | 1.18348i | 0.659969 | + | 0.751293i | \(0.270569\pi\) |
−0.901782 | + | 0.432192i | \(0.857740\pi\) | |||||||
\(858\) | −1.95708 | − | 0.367367i | −0.0668137 | − | 0.0125417i | ||||
\(859\) | −1.38987 | + | 25.5305i | −0.0474218 | + | 0.871089i | 0.874813 | + | 0.484460i | \(0.160984\pi\) |
−0.922235 | + | 0.386629i | \(0.873639\pi\) | |||||||
\(860\) | −21.8181 | − | 14.9729i | −0.743991 | − | 0.510572i | ||||
\(861\) | −4.17172 | + | 2.52259i | −0.142172 | + | 0.0859698i | ||||
\(862\) | 11.9598 | + | 1.53887i | 0.407351 | + | 0.0524140i | ||||
\(863\) | 7.97942 | − | 14.7506i | 0.271622 | − | 0.502116i | −0.707151 | − | 0.707063i | \(-0.750020\pi\) |
0.978773 | + | 0.204947i | \(0.0657021\pi\) | |||||||
\(864\) | −0.404746 | + | 42.1706i | −0.0137697 | + | 1.43467i | ||||
\(865\) | −35.1293 | + | 83.1125i | −1.19443 | + | 2.82591i | ||||
\(866\) | −25.4711 | + | 79.4283i | −0.865544 | + | 2.69909i | ||||
\(867\) | 23.6663 | − | 7.84061i | 0.803751 | − | 0.266281i | ||||
\(868\) | −2.80065 | − | 1.45761i | −0.0950603 | − | 0.0494745i | ||||
\(869\) | −2.71804 | + | 0.226606i | −0.0922033 | + | 0.00768708i | ||||
\(870\) | 112.265 | + | 54.8246i | 3.80615 | + | 1.85873i | ||||
\(871\) | 3.54758 | + | 0.525872i | 0.120205 | + | 0.0178185i | ||||
\(872\) | −19.9785 | − | 5.50194i | −0.676559 | − | 0.186319i | ||||
\(873\) | −4.33874 | − | 6.36585i | −0.146844 | − | 0.215451i | ||||
\(874\) | 59.5301 | + | 70.5878i | 2.01364 | + | 2.38767i | ||||
\(875\) | 15.5136 | − | 22.1474i | 0.524457 | − | 0.748719i | ||||
\(876\) | −12.6194 | + | 59.8087i | −0.426371 | + | 2.02075i | ||||
\(877\) | −15.0563 | − | 33.7975i | −0.508414 | − | 1.14126i | −0.967500 | − | 0.252869i | \(-0.918626\pi\) |
0.459087 | − | 0.888391i | \(-0.348177\pi\) | |||||||
\(878\) | −0.0980825 | − | 2.04234i | −0.00331012 | − | 0.0689257i | ||||
\(879\) | 32.2584 | + | 8.44115i | 1.08805 | + | 0.284713i | ||||
\(880\) | −11.3872 | − | 4.43114i | −0.383861 | − | 0.149374i | ||||
\(881\) | −4.71740 | + | 10.5894i | −0.158933 | + | 0.356765i | −0.975339 | − | 0.220714i | \(-0.929161\pi\) |
0.816405 | + | 0.577479i | \(0.195964\pi\) | |||||||
\(882\) | 7.87206 | + | 5.70401i | 0.265066 | + | 0.192064i | ||||
\(883\) | 4.05841 | − | 16.1405i | 0.136577 | − | 0.543170i | −0.862721 | − | 0.505681i | \(-0.831241\pi\) |
0.999297 | − | 0.0374890i | \(-0.0119359\pi\) | |||||||
\(884\) | 0.364270 | + | 0.694474i | 0.0122517 | + | 0.0233577i | ||||
\(885\) | −25.8767 | + | 10.8399i | −0.869837 | + | 0.364380i | ||||
\(886\) | 59.3294 | − | 3.03954i | 1.99321 | − | 0.102115i | ||||
\(887\) | −1.79881 | − | 1.11940i | −0.0603981 | − | 0.0375859i | 0.497817 | − | 0.867282i | \(-0.334135\pi\) |
−0.558216 | + | 0.829696i | \(0.688514\pi\) | |||||||
\(888\) | 8.04482 | − | 2.77997i | 0.269966 | − | 0.0932898i | ||||
\(889\) | −10.1744 | − | 0.325610i | −0.341240 | − | 0.0109206i | ||||
\(890\) | −4.40352 | − | 54.9407i | −0.147606 | − | 1.84162i | ||||
\(891\) | −4.87308 | + | 8.11735i | −0.163254 | + | 0.271941i | ||||
\(892\) | −56.8575 | + | 16.8387i | −1.90373 | + | 0.563800i | ||||
\(893\) | −13.4981 | + | 35.6976i | −0.451697 | + | 1.19457i | ||||
\(894\) | −30.1744 | − | 19.8665i | −1.00918 | − | 0.664435i | ||||
\(895\) | 47.0268 | − | 28.0272i | 1.57193 | − | 0.936847i | ||||
\(896\) | −9.54574 | + | 4.66165i | −0.318901 | + | 0.155735i | ||||
\(897\) | 4.23670 | − | 1.34370i | 0.141459 | − | 0.0448647i | ||||
\(898\) | 12.5746 | − | 73.4499i | 0.419621 | − | 2.45105i | ||||
\(899\) | 11.8987 | + | 0.152272i | 0.396843 | + | 0.00507856i | ||||
\(900\) | 23.2325 | − | 7.20506i | 0.774418 | − | 0.240169i | ||||
\(901\) | 2.42371 | − | 5.53563i | 0.0807454 | − | 0.184418i | ||||
\(902\) | 5.46845 | − | 10.5897i | 0.182080 | − | 0.352597i | ||||
\(903\) | 2.93866 | + | 0.932014i | 0.0977925 | + | 0.0310155i | ||||
\(904\) | 7.11622 | − | 1.05486i | 0.236682 | − | 0.0350843i | ||||
\(905\) | 55.6389 | + | 6.79747i | 1.84950 | + | 0.225955i | ||||
\(906\) | 8.58639 | − | 16.1182i | 0.285264 | − | 0.535492i | ||||
\(907\) | 5.16402 | + | 18.5199i | 0.171469 | + | 0.614942i | 0.998598 | + | 0.0529304i | \(0.0168561\pi\) |
−0.827130 | + | 0.562011i | \(0.810028\pi\) | |||||||
\(908\) | 3.89697 | − | 34.6577i | 0.129325 | − | 1.15016i | ||||
\(909\) | 0.399072 | − | 4.97904i | 0.0132364 | − | 0.165144i | ||||
\(910\) | −2.63419 | − | 1.88312i | −0.0873225 | − | 0.0624248i | ||||
\(911\) | −10.0044 | − | 4.49523i | −0.331462 | − | 0.148934i | 0.237299 | − | 0.971437i | \(-0.423738\pi\) |
−0.568761 | + | 0.822503i | \(0.692577\pi\) | |||||||
\(912\) | 13.3966 | − | 10.9362i | 0.443606 | − | 0.362132i | ||||
\(913\) | −10.7297 | + | 2.58869i | −0.355102 | + | 0.0856732i | ||||
\(914\) | −10.9211 | + | 25.3841i | −0.361238 | + | 0.839631i | ||||
\(915\) | 44.4764 | + | 10.4299i | 1.47035 | + | 0.344800i | ||||
\(916\) | −12.5734 | + | 10.8119i | −0.415436 | + | 0.357236i | ||||
\(917\) | −12.3262 | + | 9.80223i | −0.407048 | + | 0.323698i | ||||
\(918\) | 8.56701 | − | 1.10232i | 0.282753 | − | 0.0363820i | ||||
\(919\) | 10.4454 | − | 27.0990i | 0.344563 | − | 0.893912i | −0.646787 | − | 0.762671i | \(-0.723888\pi\) |
0.991350 | − | 0.131242i | \(-0.0418964\pi\) | |||||||
\(920\) | −48.6387 | + | 5.94225i | −1.60357 | + | 0.195910i | ||||
\(921\) | 33.1424 | − | 9.12717i | 1.09208 | − | 0.300750i | ||||
\(922\) | −29.0758 | − | 24.6807i | −0.957562 | − | 0.812815i | ||||
\(923\) | −1.52825 | − | 0.266672i | −0.0503029 | − | 0.00877761i | ||||
\(924\) | −5.44424 | − | 0.418833i | −0.179102 | − | 0.0137786i | ||||
\(925\) | 25.8060 | + | 34.4414i | 0.848496 | + | 1.13243i | ||||
\(926\) | −0.727494 | − | 1.69093i | −0.0239069 | − | 0.0555673i | ||||
\(927\) | 0.552766 | + | 3.10904i | 0.0181552 | + | 0.102114i | ||||
\(928\) | 41.3779 | − | 54.4941i | 1.35830 | − | 1.78885i | ||||
\(929\) | 39.5732 | + | 11.7198i | 1.29836 | + | 0.384515i | 0.858158 | − | 0.513386i | \(-0.171609\pi\) |
0.440197 | + | 0.897901i | \(0.354908\pi\) | |||||||
\(930\) | −13.1956 | + | 12.1023i | −0.432699 | + | 0.396850i | ||||
\(931\) | −2.43762 | − | 36.2288i | −0.0798898 | − | 1.18735i | ||||
\(932\) | −6.73299 | − | 0.648192i | −0.220546 | − | 0.0212322i | ||||
\(933\) | −21.0341 | + | 1.61819i | −0.688626 | + | 0.0529770i | ||||
\(934\) | 33.2545 | + | 37.9297i | 1.08812 | + | 1.24110i | ||||
\(935\) | −1.01793 | + | 4.27917i | −0.0332899 | + | 0.139944i | ||||
\(936\) | −0.134883 | − | 0.450151i | −0.00440877 | − | 0.0147136i | ||||
\(937\) | −46.1781 | − | 10.2073i | −1.50857 | − | 0.333458i | −0.617228 | − | 0.786784i | \(-0.711744\pi\) |
−0.891345 | + | 0.453326i | \(0.850237\pi\) | |||||||
\(938\) | 16.9920 | + | 0.652645i | 0.554808 | + | 0.0213096i | ||||
\(939\) | 4.59032 | + | 3.94725i | 0.149799 | + | 0.128814i | ||||
\(940\) | −44.0598 | − | 60.3990i | −1.43707 | − | 1.97000i | ||||
\(941\) | −15.7455 | − | 49.1002i | −0.513288 | − | 1.60062i | −0.772644 | − | 0.634840i | \(-0.781066\pi\) |
0.259356 | − | 0.965782i | \(-0.416490\pi\) | |||||||
\(942\) | −77.8461 | − | 6.99193i | −2.53636 | − | 0.227809i | ||||
\(943\) | 0.425514 | + | 26.5992i | 0.0138566 | + | 0.866189i | ||||
\(944\) | 1.75005 | + | 8.56515i | 0.0569593 | + | 0.278772i | ||||
\(945\) | −17.0813 | + | 11.5621i | −0.555653 | + | 0.376116i | ||||
\(946\) | −7.31518 | + | 1.81449i | −0.237837 | + | 0.0589942i | ||||
\(947\) | −1.42121 | + | 14.2834i | −0.0461831 | + | 0.464147i | 0.944554 | + | 0.328355i | \(0.106494\pi\) |
−0.990737 | + | 0.135792i | \(0.956642\pi\) | |||||||
\(948\) | 4.01588 | + | 6.40748i | 0.130430 | + | 0.208105i | ||||
\(949\) | 0.553165 | + | 5.94525i | 0.0179565 | + | 0.192991i | ||||
\(950\) | −131.762 | − | 85.5472i | −4.27492 | − | 2.77552i | ||||
\(951\) | −22.0937 | − | 0.990208i | −0.716439 | − | 0.0321097i | ||||
\(952\) | 0.561941 | + | 0.835929i | 0.0182126 | + | 0.0270926i | ||||
\(953\) | −2.53330 | − | 16.7209i | −0.0820615 | − | 0.541643i | −0.991934 | − | 0.126755i | \(-0.959544\pi\) |
0.909873 | − | 0.414888i | \(-0.136179\pi\) | |||||||
\(954\) | −7.59907 | + | 10.9976i | −0.246029 | + | 0.356059i | ||||
\(955\) | 16.4250 | − | 8.95324i | 0.531501 | − | 0.289720i | ||||
\(956\) | −0.728286 | − | 20.6867i | −0.0235545 | − | 0.669056i | ||||
\(957\) | 19.0321 | − | 7.82992i | 0.615222 | − | 0.253105i | ||||
\(958\) | −6.97805 | − | 16.5094i | −0.225451 | − | 0.533393i | ||||
\(959\) | −4.18496 | + | 0.375882i | −0.135140 | + | 0.0121379i | ||||
\(960\) | 8.24614 | + | 77.8181i | 0.266143 | + | 2.51157i | ||||
\(961\) | 11.0589 | − | 27.1271i | 0.356738 | − | 0.875066i | ||||
\(962\) | 2.47384 | − | 1.81677i | 0.0797598 | − | 0.0585750i | ||||
\(963\) | −2.99178 | + | 1.05532i | −0.0964088 | + | 0.0340072i | ||||
\(964\) | −33.9107 | − | 25.9202i | −1.09219 | − | 0.834833i | ||||
\(965\) | −57.0588 | + | 12.9959i | −1.83679 | + | 0.418352i | ||||
\(966\) | 19.2778 | − | 8.51415i | 0.620253 | − | 0.273938i | ||||
\(967\) | 2.65928 | + | 9.30647i | 0.0855168 | + | 0.299276i | 0.992559 | − | 0.121763i | \(-0.0388549\pi\) |
−0.907042 | + | 0.421039i | \(0.861665\pi\) | |||||||
\(968\) | −12.6247 | + | 6.46824i | −0.405772 | + | 0.207897i | ||||
\(969\) | −4.56093 | − | 4.23710i | −0.146518 | − | 0.136115i | ||||
\(970\) | −63.7845 | − | 73.6978i | −2.04800 | − | 2.36629i | ||||
\(971\) | −6.56698 | − | 14.9987i | −0.210744 | − | 0.481330i | 0.778492 | − | 0.627654i | \(-0.215985\pi\) |
−0.989237 | + | 0.146324i | \(0.953256\pi\) | |||||||
\(972\) | −19.9275 | − | 1.27678i | −0.639176 | − | 0.0409526i | ||||
\(973\) | −1.34245 | − | 1.72178i | −0.0430368 | − | 0.0551978i | ||||
\(974\) | −28.0243 | − | 46.0119i | −0.897956 | − | 1.47432i | ||||
\(975\) | −6.23482 | + | 4.27871i | −0.199674 | + | 0.137029i | ||||
\(976\) | 5.87569 | − | 12.9656i | 0.188076 | − | 0.415020i | ||||
\(977\) | 8.71869 | − | 7.89423i | 0.278936 | − | 0.252559i | −0.519734 | − | 0.854328i | \(-0.673969\pi\) |
0.798670 | + | 0.601769i | \(0.205537\pi\) | |||||||
\(978\) | −20.9404 | + | 31.5850i | −0.669601 | + | 1.00998i | ||||
\(979\) | −7.24825 | − | 5.46720i | −0.231655 | − | 0.174732i | ||||
\(980\) | 62.0139 | + | 34.8403i | 1.98096 | + | 1.11293i | ||||
\(981\) | −2.91636 | + | 8.70940i | −0.0931122 | + | 0.278070i | ||||
\(982\) | 9.53795 | 0.304368 | ||||||||
\(983\) | −31.3147 | + | 1.54664i | −0.998783 | + | 0.0493301i | ||||
\(984\) | −8.95116 | −0.285352 | ||||||||
\(985\) | −25.1308 | + | 75.0504i | −0.800734 | + | 2.39131i | ||||
\(986\) | −12.2180 | − | 6.86426i | −0.389101 | − | 0.218603i | ||||
\(987\) | 6.95380 | + | 5.24510i | 0.221342 | + | 0.166953i | ||||
\(988\) | −3.58042 | + | 5.40045i | −0.113908 | + | 0.171811i | ||||
\(989\) | 12.4706 | − | 11.2913i | 0.396542 | − | 0.359044i | ||||
\(990\) | 4.01625 | − | 8.86248i | 0.127645 | − | 0.281668i | ||||
\(991\) | −20.1438 | + | 13.8239i | −0.639890 | + | 0.439132i | −0.841443 | − | 0.540346i | \(-0.818293\pi\) |
0.201553 | + | 0.979478i | \(0.435401\pi\) | |||||||
\(992\) | 5.10080 | + | 8.37478i | 0.161950 | + | 0.265899i | ||||
\(993\) | 13.2533 | + | 16.9982i | 0.420579 | + | 0.539423i | ||||
\(994\) | −7.34057 | − | 0.470318i | −0.232829 | − | 0.0149176i | ||||
\(995\) | 35.9451 | + | 82.0967i | 1.13953 | + | 2.60264i | ||||
\(996\) | 20.0265 | + | 23.1390i | 0.634564 | + | 0.733187i | ||||
\(997\) | 1.14584 | + | 1.06448i | 0.0362890 | + | 0.0337125i | 0.698555 | − | 0.715556i | \(-0.253827\pi\) |
−0.662266 | + | 0.749269i | \(0.730405\pi\) | |||||||
\(998\) | 39.3046 | − | 20.1377i | 1.24417 | − | 0.637448i | ||||
\(999\) | −5.37171 | − | 18.7989i | −0.169953 | − | 0.594772i |
(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 | 983.2.c.a.2.12 | ✓ | 39690 | |
983.492 | even | 491 | inner | 983.2.c.a.492.12 | yes | 39690 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
983.2.c.a.2.12 | ✓ | 39690 | 1.1 | even | 1 | trivial | |
983.2.c.a.492.12 | yes | 39690 | 983.492 | even | 491 | inner |