Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [560,2,Mod(221,560)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(560, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("560.221");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 560 = 2^{4} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 560.cp (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.47162251319\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 221.44 | ||
Character | \(\chi\) | \(=\) | 560.221 |
Dual form | 560.2.cp.a.261.44 |
$q$-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 \(\left(\mathbb{Z}/560\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(351\) | \(421\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.792582 | + | 1.17124i | 0.560440 | + | 0.828195i | ||||
\(3\) | −0.0529447 | + | 0.0141865i | −0.0305676 | + | 0.00819057i | −0.274070 | − | 0.961710i | \(-0.588370\pi\) |
0.243503 | + | 0.969900i | \(0.421703\pi\) | |||||||
\(4\) | −0.743627 | + | 1.85661i | −0.371814 | + | 0.928307i | ||||
\(5\) | −0.965926 | − | 0.258819i | −0.431975 | − | 0.115747i | ||||
\(6\) | −0.0585788 | − | 0.0507672i | −0.0239147 | − | 0.0207256i | ||||
\(7\) | −1.09677 | + | 2.40772i | −0.414538 | + | 0.910032i | ||||
\(8\) | −2.76394 | + | 0.600550i | −0.977199 | + | 0.212327i | ||||
\(9\) | −2.59547 | + | 1.49850i | −0.865158 | + | 0.499499i | ||||
\(10\) | −0.462435 | − | 1.33647i | −0.146235 | − | 0.422629i | ||||
\(11\) | −1.11257 | − | 4.15219i | −0.335454 | − | 1.25193i | −0.903376 | − | 0.428849i | \(-0.858919\pi\) |
0.567922 | − | 0.823082i | \(-0.307747\pi\) | |||||||
\(12\) | 0.0130323 | − | 0.108847i | 0.00376209 | − | 0.0314215i | ||||
\(13\) | −1.12317 | − | 1.12317i | −0.311513 | − | 0.311513i | 0.533983 | − | 0.845495i | \(-0.320695\pi\) |
−0.845495 | + | 0.533983i | \(0.820695\pi\) | |||||||
\(14\) | −3.68930 | + | 0.623734i | −0.986008 | + | 0.166700i | ||||
\(15\) | 0.0548123 | 0.0141525 | ||||||||
\(16\) | −2.89404 | − | 2.76126i | −0.723509 | − | 0.690315i | ||||
\(17\) | −0.0460346 | + | 0.0797343i | −0.0111650 | + | 0.0193384i | −0.871554 | − | 0.490300i | \(-0.836887\pi\) |
0.860389 | + | 0.509638i | \(0.170221\pi\) | |||||||
\(18\) | −3.81223 | − | 1.85225i | −0.898552 | − | 0.436580i | ||||
\(19\) | −1.33343 | + | 4.97641i | −0.305909 | + | 1.14167i | 0.626251 | + | 0.779621i | \(0.284588\pi\) |
−0.932160 | + | 0.362046i | \(0.882078\pi\) | |||||||
\(20\) | 1.19882 | − | 1.60089i | 0.268063 | − | 0.357969i | ||||
\(21\) | 0.0239108 | − | 0.143035i | 0.00521777 | − | 0.0312128i | ||||
\(22\) | 3.98142 | − | 4.59405i | 0.848841 | − | 0.979454i | ||||
\(23\) | 2.97629 | − | 1.71836i | 0.620598 | − | 0.358303i | −0.156504 | − | 0.987677i | \(-0.550022\pi\) |
0.777102 | + | 0.629375i | \(0.216689\pi\) | |||||||
\(24\) | 0.137816 | − | 0.0710064i | 0.0281316 | − | 0.0144941i | ||||
\(25\) | 0.866025 | + | 0.500000i | 0.173205 | + | 0.100000i | ||||
\(26\) | 0.425304 | − | 2.20572i | 0.0834090 | − | 0.432577i | ||||
\(27\) | 0.232433 | − | 0.232433i | 0.0447317 | − | 0.0447317i | ||||
\(28\) | −3.65462 | − | 3.82672i | −0.690658 | − | 0.723181i | ||||
\(29\) | 1.54754 | + | 1.54754i | 0.287370 | + | 0.287370i | 0.836039 | − | 0.548669i | \(-0.184865\pi\) |
−0.548669 | + | 0.836039i | \(0.684865\pi\) | |||||||
\(30\) | 0.0434433 | + | 0.0641986i | 0.00793162 | + | 0.0117210i | ||||
\(31\) | −5.28436 | + | 9.15278i | −0.949099 | + | 1.64389i | −0.201771 | + | 0.979433i | \(0.564670\pi\) |
−0.747328 | + | 0.664455i | \(0.768664\pi\) | |||||||
\(32\) | 0.940348 | − | 5.57815i | 0.166232 | − | 0.986087i | ||||
\(33\) | 0.117810 | + | 0.204053i | 0.0205080 | + | 0.0355210i | ||||
\(34\) | −0.129875 | + | 0.00927818i | −0.0222733 | + | 0.00159119i | ||||
\(35\) | 1.68256 | − | 2.04181i | 0.284404 | − | 0.345129i | ||||
\(36\) | −0.852068 | − | 5.93312i | −0.142011 | − | 0.988853i | ||||
\(37\) | −8.20391 | − | 2.19823i | −1.34871 | − | 0.361387i | −0.489054 | − | 0.872253i | \(-0.662658\pi\) |
−0.859660 | + | 0.510866i | \(0.829325\pi\) | |||||||
\(38\) | −6.88545 | + | 2.38245i | −1.11697 | + | 0.386484i | ||||
\(39\) | 0.0754000 | + | 0.0435322i | 0.0120737 | + | 0.00697073i | ||||
\(40\) | 2.82519 | + | 0.135272i | 0.446702 | + | 0.0213884i | ||||
\(41\) | 1.06092i | 0.165687i | 0.996563 | + | 0.0828437i | \(0.0264002\pi\) | ||||
−0.996563 | + | 0.0828437i | \(0.973600\pi\) | |||||||
\(42\) | 0.186480 | − | 0.0853616i | 0.0287745 | − | 0.0131716i | ||||
\(43\) | −1.10318 | + | 1.10318i | −0.168233 | + | 0.168233i | −0.786202 | − | 0.617969i | \(-0.787956\pi\) |
0.617969 | + | 0.786202i | \(0.287956\pi\) | |||||||
\(44\) | 8.53635 | + | 1.02206i | 1.28690 | + | 0.154081i | ||||
\(45\) | 2.89488 | − | 0.775680i | 0.431543 | − | 0.115631i | ||||
\(46\) | 4.37157 | + | 2.12402i | 0.644553 | + | 0.313169i | ||||
\(47\) | 5.84625 | + | 10.1260i | 0.852764 | + | 1.47703i | 0.878704 | + | 0.477367i | \(0.158409\pi\) |
−0.0259403 | + | 0.999663i | \(0.508258\pi\) | |||||||
\(48\) | 0.192396 | + | 0.105138i | 0.0277700 | + | 0.0151753i | ||||
\(49\) | −4.59421 | − | 5.28140i | −0.656316 | − | 0.754486i | ||||
\(50\) | 0.100774 | + | 1.41062i | 0.0142516 | + | 0.199492i | ||||
\(51\) | 0.00130614 | − | 0.00487457i | 0.000182896 | − | 0.000682577i | ||||
\(52\) | 2.92053 | − | 1.25008i | 0.405004 | − | 0.173355i | ||||
\(53\) | 0.864301 | + | 3.22561i | 0.118721 | + | 0.443072i | 0.999538 | − | 0.0303838i | \(-0.00967295\pi\) |
−0.880817 | + | 0.473456i | \(0.843006\pi\) | |||||||
\(54\) | 0.456457 | + | 0.0880135i | 0.0621160 | + | 0.0119771i | ||||
\(55\) | 4.29866i | 0.579631i | ||||||||
\(56\) | 1.58543 | − | 7.31344i | 0.211862 | − | 0.977300i | ||||
\(57\) | − | 0.282391i | − | 0.0374036i | ||||||
\(58\) | −0.585994 | + | 3.03909i | −0.0769447 | + | 0.399052i | ||||
\(59\) | 0.164625 | + | 0.614389i | 0.0214323 | + | 0.0799866i | 0.975814 | − | 0.218604i | \(-0.0701502\pi\) |
−0.954381 | + | 0.298590i | \(0.903484\pi\) | |||||||
\(60\) | −0.0407599 | + | 0.101765i | −0.00526209 | + | 0.0131379i | ||||
\(61\) | 0.393722 | − | 1.46939i | 0.0504110 | − | 0.188136i | −0.936129 | − | 0.351657i | \(-0.885618\pi\) |
0.986540 | + | 0.163521i | \(0.0522850\pi\) | |||||||
\(62\) | −14.9084 | + | 1.06505i | −1.89337 | + | 0.135262i | ||||
\(63\) | −0.761335 | − | 7.89267i | −0.0959192 | − | 0.994383i | ||||
\(64\) | 7.27868 | − | 3.31976i | 0.909835 | − | 0.414970i | ||||
\(65\) | 0.794204 | + | 1.37560i | 0.0985089 | + | 0.170622i | ||||
\(66\) | −0.145621 | + | 0.299712i | −0.0179248 | + | 0.0368920i | ||||
\(67\) | 11.1362 | − | 2.98395i | 1.36051 | − | 0.364547i | 0.496505 | − | 0.868034i | \(-0.334616\pi\) |
0.864003 | + | 0.503487i | \(0.167950\pi\) | |||||||
\(68\) | −0.113803 | − | 0.144761i | −0.0138007 | − | 0.0175549i | ||||
\(69\) | −0.133201 | + | 0.133201i | −0.0160355 | + | 0.0160355i | ||||
\(70\) | 3.72503 | + | 0.352381i | 0.445226 | + | 0.0421176i | ||||
\(71\) | 4.35741i | 0.517129i | 0.965994 | + | 0.258565i | \(0.0832495\pi\) | ||||
−0.965994 | + | 0.258565i | \(0.916751\pi\) | |||||||
\(72\) | 6.27380 | − | 5.70046i | 0.739374 | − | 0.671806i | ||||
\(73\) | −5.63766 | − | 3.25490i | −0.659838 | − | 0.380958i | 0.132377 | − | 0.991199i | \(-0.457739\pi\) |
−0.792215 | + | 0.610242i | \(0.791072\pi\) | |||||||
\(74\) | −3.92761 | − | 11.3511i | −0.456575 | − | 1.31953i | ||||
\(75\) | −0.0529447 | − | 0.0141865i | −0.00611352 | − | 0.00163811i | ||||
\(76\) | −8.24771 | − | 6.17626i | −0.946077 | − | 0.708465i | ||||
\(77\) | 11.2175 | + | 1.87521i | 1.27836 | + | 0.213700i | ||||
\(78\) | 0.00877382 | + | 0.122815i | 0.000993440 | + | 0.0139060i | ||||
\(79\) | 7.48801 | + | 12.9696i | 0.842467 | + | 1.45920i | 0.887803 | + | 0.460224i | \(0.152231\pi\) |
−0.0453354 | + | 0.998972i | \(0.514436\pi\) | |||||||
\(80\) | 2.08076 | + | 3.41620i | 0.232636 | + | 0.381943i | ||||
\(81\) | 4.48648 | − | 7.77082i | 0.498498 | − | 0.863424i | ||||
\(82\) | −1.24259 | + | 0.840864i | −0.137221 | + | 0.0928579i | ||||
\(83\) | −2.76647 | − | 2.76647i | −0.303660 | − | 0.303660i | 0.538784 | − | 0.842444i | \(-0.318884\pi\) |
−0.842444 | + | 0.538784i | \(0.818884\pi\) | |||||||
\(84\) | 0.247780 | + | 0.150758i | 0.0270350 | + | 0.0164490i | ||||
\(85\) | 0.0651028 | − | 0.0651028i | 0.00706139 | − | 0.00706139i | ||||
\(86\) | −2.16645 | − | 0.417733i | −0.233615 | − | 0.0450453i | ||||
\(87\) | −0.103888 | − | 0.0599797i | −0.0111379 | − | 0.00643049i | ||||
\(88\) | 5.56868 | + | 10.8082i | 0.593623 | + | 1.15216i | ||||
\(89\) | −6.27841 | + | 3.62484i | −0.665511 | + | 0.384233i | −0.794373 | − | 0.607430i | \(-0.792201\pi\) |
0.128863 | + | 0.991662i | \(0.458867\pi\) | |||||||
\(90\) | 3.20294 | + | 2.77582i | 0.337619 | + | 0.292597i | ||||
\(91\) | 3.93615 | − | 1.47243i | 0.412620 | − | 0.154353i | ||||
\(92\) | 0.977084 | + | 6.80363i | 0.101868 | + | 0.709328i | ||||
\(93\) | 0.149933 | − | 0.559557i | 0.0155473 | − | 0.0580234i | ||||
\(94\) | −7.22640 | + | 14.8731i | −0.745346 | + | 1.53404i | ||||
\(95\) | 2.57598 | − | 4.46173i | 0.264290 | − | 0.457764i | ||||
\(96\) | 0.0293479 | + | 0.308673i | 0.00299531 | + | 0.0315038i | ||||
\(97\) | −7.39528 | −0.750877 | −0.375438 | − | 0.926847i | \(-0.622508\pi\) | ||||
−0.375438 | + | 0.926847i | \(0.622508\pi\) | |||||||
\(98\) | 2.54452 | − | 9.56689i | 0.257036 | − | 0.966402i | ||||
\(99\) | 9.10970 | + | 9.10970i | 0.915559 | + | 0.915559i | ||||
\(100\) | −1.57231 | + | 1.23606i | −0.157231 | + | 0.123606i | ||||
\(101\) | 3.89809 | + | 14.5479i | 0.387874 | + | 1.44757i | 0.833586 | + | 0.552390i | \(0.186284\pi\) |
−0.445711 | + | 0.895177i | \(0.647049\pi\) | |||||||
\(102\) | 0.00674454 | − | 0.00233369i | 0.000667809 | − | 0.000231070i | ||||
\(103\) | 9.92661 | − | 5.73113i | 0.978098 | − | 0.564705i | 0.0764024 | − | 0.997077i | \(-0.475657\pi\) |
0.901695 | + | 0.432372i | \(0.142323\pi\) | |||||||
\(104\) | 3.77890 | + | 2.42986i | 0.370552 | + | 0.238267i | ||||
\(105\) | −0.0601163 | + | 0.131973i | −0.00586675 | + | 0.0128792i | ||||
\(106\) | −3.09295 | + | 3.56887i | −0.300414 | + | 0.346639i | ||||
\(107\) | 11.1580 | + | 2.98978i | 1.07869 | + | 0.289033i | 0.754057 | − | 0.656809i | \(-0.228094\pi\) |
0.324628 | + | 0.945842i | \(0.394761\pi\) | |||||||
\(108\) | 0.258695 | + | 0.604381i | 0.0248929 | + | 0.0581566i | ||||
\(109\) | 10.0144 | − | 2.68336i | 0.959207 | − | 0.257019i | 0.254943 | − | 0.966956i | \(-0.417943\pi\) |
0.704265 | + | 0.709937i | \(0.251277\pi\) | |||||||
\(110\) | −5.03478 | + | 3.40704i | −0.480048 | + | 0.324849i | ||||
\(111\) | 0.465538 | 0.0441869 | ||||||||
\(112\) | 9.82241 | − | 3.93957i | 0.928131 | − | 0.372255i | ||||
\(113\) | −17.4240 | −1.63912 | −0.819558 | − | 0.572997i | \(-0.805781\pi\) | ||||
−0.819558 | + | 0.572997i | \(0.805781\pi\) | |||||||
\(114\) | 0.330749 | − | 0.223818i | 0.0309775 | − | 0.0209625i | ||||
\(115\) | −3.31961 | + | 0.889488i | −0.309556 | + | 0.0829452i | ||||
\(116\) | −4.02397 | + | 1.72239i | −0.373616 | + | 0.159920i | ||||
\(117\) | 4.59825 | + | 1.23210i | 0.425108 | + | 0.113907i | ||||
\(118\) | −0.589120 | + | 0.679769i | −0.0542329 | + | 0.0625778i | ||||
\(119\) | −0.141489 | − | 0.198288i | −0.0129702 | − | 0.0181770i | ||||
\(120\) | −0.151498 | + | 0.0329176i | −0.0138298 | + | 0.00300495i | ||||
\(121\) | −6.47655 | + | 3.73924i | −0.588777 | + | 0.339930i | ||||
\(122\) | 2.03307 | − | 0.703468i | 0.184066 | − | 0.0636890i | ||||
\(123\) | −0.0150507 | − | 0.0561699i | −0.00135707 | − | 0.00506467i | ||||
\(124\) | −13.0636 | − | 16.6173i | −1.17315 | − | 1.49228i | ||||
\(125\) | −0.707107 | − | 0.707107i | −0.0632456 | − | 0.0632456i | ||||
\(126\) | 8.64083 | − | 7.14730i | 0.769786 | − | 0.636732i | ||||
\(127\) | −12.9885 | −1.15254 | −0.576272 | − | 0.817258i | \(-0.695493\pi\) | ||||
−0.576272 | + | 0.817258i | \(0.695493\pi\) | |||||||
\(128\) | 9.65721 | + | 5.89393i | 0.853584 | + | 0.520954i | ||||
\(129\) | 0.0427572 | − | 0.0740577i | 0.00376456 | − | 0.00652042i | ||||
\(130\) | −0.981694 | + | 2.02049i | −0.0861003 | + | 0.177208i | ||||
\(131\) | −3.01751 | + | 11.2615i | −0.263641 | + | 0.983923i | 0.699435 | + | 0.714696i | \(0.253435\pi\) |
−0.963077 | + | 0.269227i | \(0.913232\pi\) | |||||||
\(132\) | −0.466453 | + | 0.0669883i | −0.0405996 | + | 0.00583059i | ||||
\(133\) | −10.5193 | − | 8.66847i | −0.912143 | − | 0.751652i | ||||
\(134\) | 12.3213 | + | 10.6782i | 1.06440 | + | 0.922459i | ||||
\(135\) | −0.284671 | + | 0.164355i | −0.0245005 | + | 0.0141454i | ||||
\(136\) | 0.0793523 | − | 0.248027i | 0.00680440 | − | 0.0212681i | ||||
\(137\) | −13.5180 | − | 7.80464i | −1.15492 | − | 0.666795i | −0.204841 | − | 0.978795i | \(-0.565668\pi\) |
−0.950082 | + | 0.312000i | \(0.899001\pi\) | |||||||
\(138\) | −0.261583 | − | 0.0504382i | −0.0222675 | − | 0.00429358i | ||||
\(139\) | −3.45142 | + | 3.45142i | −0.292746 | + | 0.292746i | −0.838164 | − | 0.545418i | \(-0.816371\pi\) |
0.545418 | + | 0.838164i | \(0.316371\pi\) | |||||||
\(140\) | 2.53967 | + | 4.64221i | 0.214641 | + | 0.392338i | ||||
\(141\) | −0.453180 | − | 0.453180i | −0.0381647 | − | 0.0381647i | ||||
\(142\) | −5.10359 | + | 3.45360i | −0.428284 | + | 0.289820i | ||||
\(143\) | −3.41401 | + | 5.91325i | −0.285494 | + | 0.494490i | ||||
\(144\) | 11.6491 | + | 2.83007i | 0.970762 | + | 0.235839i | ||||
\(145\) | −1.09427 | − | 1.89534i | −0.0908744 | − | 0.157399i | ||||
\(146\) | −0.656019 | − | 9.18285i | −0.0542925 | − | 0.759978i | ||||
\(147\) | 0.318163 | + | 0.214446i | 0.0262417 | + | 0.0176872i | ||||
\(148\) | 10.1819 | − | 13.5968i | 0.836949 | − | 1.11765i | ||||
\(149\) | 3.93286 | + | 1.05381i | 0.322192 | + | 0.0863311i | 0.416290 | − | 0.909232i | \(-0.363330\pi\) |
−0.0940980 | + | 0.995563i | \(0.529997\pi\) | |||||||
\(150\) | −0.0253471 | − | 0.0732551i | −0.00206959 | − | 0.00598125i | ||||
\(151\) | −9.98405 | − | 5.76430i | −0.812491 | − | 0.469092i | 0.0353293 | − | 0.999376i | \(-0.488752\pi\) |
−0.847820 | + | 0.530284i | \(0.822085\pi\) | |||||||
\(152\) | 0.696917 | − | 14.5553i | 0.0565275 | − | 1.18059i | ||||
\(153\) | − | 0.275931i | − | 0.0223077i | ||||||
\(154\) | 6.69449 | + | 14.6247i | 0.539457 | + | 1.17849i | ||||
\(155\) | 7.47321 | − | 7.47321i | 0.600263 | − | 0.600263i | ||||
\(156\) | −0.136892 | + | 0.107617i | −0.0109601 | + | 0.00861625i | ||||
\(157\) | 13.7916 | − | 3.69544i | 1.10069 | − | 0.294928i | 0.337642 | − | 0.941274i | \(-0.390371\pi\) |
0.763044 | + | 0.646346i | \(0.223704\pi\) | |||||||
\(158\) | −9.25573 | + | 19.0498i | −0.736346 | + | 1.51552i | ||||
\(159\) | −0.0915202 | − | 0.158518i | −0.00725802 | − | 0.0125713i | ||||
\(160\) | −2.35204 | + | 5.14470i | −0.185945 | + | 0.406724i | ||||
\(161\) | 0.873038 | + | 9.05069i | 0.0688051 | + | 0.713294i | ||||
\(162\) | 12.6574 | − | 0.904242i | 0.994462 | − | 0.0710439i | ||||
\(163\) | 3.34183 | − | 12.4719i | 0.261753 | − | 0.976874i | −0.702456 | − | 0.711728i | \(-0.747913\pi\) |
0.964208 | − | 0.265146i | \(-0.0854203\pi\) | |||||||
\(164\) | −1.96971 | − | 0.788927i | −0.153809 | − | 0.0616048i | ||||
\(165\) | −0.0609828 | − | 0.227591i | −0.00474751 | − | 0.0177179i | ||||
\(166\) | 1.04756 | − | 5.43287i | 0.0813064 | − | 0.421673i | ||||
\(167\) | 9.28275i | 0.718320i | 0.933276 | + | 0.359160i | \(0.116937\pi\) | ||||
−0.933276 | + | 0.359160i | \(0.883063\pi\) | |||||||
\(168\) | 0.0198118 | + | 0.409699i | 0.00152851 | + | 0.0316090i | ||||
\(169\) | − | 10.4770i | − | 0.805920i | ||||||
\(170\) | 0.127851 | + | 0.0246520i | 0.00980569 | + | 0.00189072i | ||||
\(171\) | −3.99627 | − | 14.9143i | −0.305603 | − | 1.14052i | ||||
\(172\) | −1.22783 | − | 2.86853i | −0.0936208 | − | 0.218724i | ||||
\(173\) | 5.31577 | − | 19.8387i | 0.404151 | − | 1.50831i | −0.401466 | − | 0.915874i | \(-0.631499\pi\) |
0.805617 | − | 0.592437i | \(-0.201834\pi\) | |||||||
\(174\) | −0.0120888 | − | 0.169217i | −0.000916448 | − | 0.0128283i | ||||
\(175\) | −2.15369 | + | 1.53676i | −0.162803 | + | 0.116168i | ||||
\(176\) | −8.24543 | + | 15.0887i | −0.621523 | + | 1.13735i | ||||
\(177\) | −0.0174320 | − | 0.0301931i | −0.00131027 | − | 0.00226946i | ||||
\(178\) | −9.22174 | − | 4.48057i | −0.691198 | − | 0.335833i | ||||
\(179\) | −3.75867 | + | 1.00713i | −0.280936 | + | 0.0752766i | −0.396536 | − | 0.918019i | \(-0.629788\pi\) |
0.115600 | + | 0.993296i | \(0.463121\pi\) | |||||||
\(180\) | −0.712570 | + | 5.95149i | −0.0531119 | + | 0.443598i | ||||
\(181\) | −11.4399 | + | 11.4399i | −0.850321 | + | 0.850321i | −0.990173 | − | 0.139851i | \(-0.955338\pi\) |
0.139851 | + | 0.990173i | \(0.455338\pi\) | |||||||
\(182\) | 4.84429 | + | 3.44317i | 0.359083 | + | 0.255225i | ||||
\(183\) | 0.0833820i | 0.00616377i | ||||||||
\(184\) | −7.19430 | + | 6.53684i | −0.530371 | + | 0.481902i | ||||
\(185\) | 7.35543 | + | 4.24666i | 0.540782 | + | 0.312220i | ||||
\(186\) | 0.774212 | − | 0.267887i | 0.0567680 | − | 0.0196424i | ||||
\(187\) | 0.382289 | + | 0.102434i | 0.0279557 | + | 0.00749071i | ||||
\(188\) | −23.1475 | + | 3.32426i | −1.68821 | + | 0.242447i | ||||
\(189\) | 0.304708 | + | 0.814556i | 0.0221643 | + | 0.0592502i | ||||
\(190\) | 7.26745 | − | 0.519184i | 0.527237 | − | 0.0376655i | ||||
\(191\) | 9.34430 | + | 16.1848i | 0.676130 | + | 1.17109i | 0.976137 | + | 0.217155i | \(0.0696776\pi\) |
−0.300007 | + | 0.953937i | \(0.596989\pi\) | |||||||
\(192\) | −0.338271 | + | 0.279023i | −0.0244126 | + | 0.0201367i | ||||
\(193\) | 6.43756 | − | 11.1502i | 0.463386 | − | 0.802608i | −0.535741 | − | 0.844382i | \(-0.679968\pi\) |
0.999127 | + | 0.0417743i | \(0.0133010\pi\) | |||||||
\(194\) | −5.86136 | − | 8.66168i | −0.420821 | − | 0.621872i | ||||
\(195\) | −0.0615638 | − | 0.0615638i | −0.00440868 | − | 0.00440868i | ||||
\(196\) | 13.2219 | − | 4.60229i | 0.944422 | − | 0.328735i | ||||
\(197\) | 7.59428 | − | 7.59428i | 0.541070 | − | 0.541070i | −0.382772 | − | 0.923843i | \(-0.625031\pi\) |
0.923843 | + | 0.382772i | \(0.125031\pi\) | |||||||
\(198\) | −3.44950 | + | 17.8899i | −0.245145 | + | 1.27138i | ||||
\(199\) | 16.3480 | + | 9.43854i | 1.15888 | + | 0.669080i | 0.951036 | − | 0.309081i | \(-0.100022\pi\) |
0.207845 | + | 0.978162i | \(0.433355\pi\) | |||||||
\(200\) | −2.69391 | − | 0.861876i | −0.190488 | − | 0.0609438i | ||||
\(201\) | −0.547273 | + | 0.315968i | −0.0386016 | + | 0.0222867i | ||||
\(202\) | −13.9496 | + | 16.0960i | −0.981487 | + | 1.13251i | ||||
\(203\) | −5.42331 | + | 2.02875i | −0.380642 | + | 0.142390i | ||||
\(204\) | 0.00807892 | + | 0.00604986i | 0.000565638 | + | 0.000423575i | ||||
\(205\) | 0.274586 | − | 1.02477i | 0.0191779 | − | 0.0715728i | ||||
\(206\) | 14.5802 | + | 7.08409i | 1.01585 | + | 0.493572i | ||||
\(207\) | −5.14991 | + | 8.91991i | −0.357944 | + | 0.619977i | ||||
\(208\) | 0.149133 | + | 6.35188i | 0.0103405 | + | 0.440424i | ||||
\(209\) | 22.1465 | 1.53191 | ||||||||
\(210\) | −0.202219 | + | 0.0341883i | −0.0139545 | + | 0.00235922i | ||||
\(211\) | 0.239244 | + | 0.239244i | 0.0164702 | + | 0.0164702i | 0.715294 | − | 0.698824i | \(-0.246293\pi\) |
−0.698824 | + | 0.715294i | \(0.746293\pi\) | |||||||
\(212\) | −6.63144 | − | 0.793981i | −0.455449 | − | 0.0545309i | ||||
\(213\) | −0.0618162 | − | 0.230701i | −0.00423558 | − | 0.0158074i | ||||
\(214\) | 5.34187 | + | 15.4384i | 0.365163 | + | 1.05535i | ||||
\(215\) | 1.35111 | − | 0.780066i | 0.0921452 | − | 0.0532001i | ||||
\(216\) | −0.502841 | + | 0.782016i | −0.0342140 | + | 0.0532095i | ||||
\(217\) | −16.2416 | − | 22.7617i | −1.10255 | − | 1.54516i | ||||
\(218\) | 11.0801 | + | 9.60255i | 0.750440 | + | 0.650367i | ||||
\(219\) | 0.344659 | + | 0.0923512i | 0.0232899 | + | 0.00624052i | ||||
\(220\) | −7.98095 | − | 3.19660i | −0.538076 | − | 0.215515i | ||||
\(221\) | 0.141260 | − | 0.0378506i | 0.00950220 | − | 0.00254611i | ||||
\(222\) | 0.368977 | + | 0.545259i | 0.0247641 | + | 0.0365954i | ||||
\(223\) | −11.1607 | −0.747377 | −0.373689 | − | 0.927554i | \(-0.621907\pi\) | ||||
−0.373689 | + | 0.927554i | \(0.621907\pi\) | |||||||
\(224\) | 12.3993 | + | 8.38201i | 0.828461 | + | 0.560047i | ||||
\(225\) | −2.99700 | −0.199800 | ||||||||
\(226\) | −13.8100 | − | 20.4078i | −0.918626 | − | 1.35751i | ||||
\(227\) | −19.1915 | + | 5.14234i | −1.27378 | + | 0.341309i | −0.831479 | − | 0.555556i | \(-0.812505\pi\) |
−0.442304 | + | 0.896865i | \(0.645839\pi\) | |||||||
\(228\) | 0.524292 | + | 0.209994i | 0.0347221 | + | 0.0139072i | ||||
\(229\) | −4.47038 | − | 1.19783i | −0.295411 | − | 0.0791551i | 0.108070 | − | 0.994143i | \(-0.465533\pi\) |
−0.403481 | + | 0.914988i | \(0.632200\pi\) | |||||||
\(230\) | −3.67287 | − | 3.18309i | −0.242182 | − | 0.209887i | ||||
\(231\) | −0.620511 | + | 0.0598551i | −0.0408266 | + | 0.00393817i | ||||
\(232\) | −5.20666 | − | 3.34792i | −0.341834 | − | 0.219801i | ||||
\(233\) | 16.6167 | − | 9.59366i | 1.08860 | − | 0.628502i | 0.155394 | − | 0.987853i | \(-0.450335\pi\) |
0.933203 | + | 0.359351i | \(0.117002\pi\) | |||||||
\(234\) | 2.20140 | + | 6.36221i | 0.143910 | + | 0.415910i | ||||
\(235\) | −3.02624 | − | 11.2941i | −0.197410 | − | 0.736746i | ||||
\(236\) | −1.26310 | − | 0.151231i | −0.0822210 | − | 0.00984430i | ||||
\(237\) | −0.580443 | − | 0.580443i | −0.0377039 | − | 0.0377039i | ||||
\(238\) | 0.120103 | − | 0.322877i | 0.00778510 | − | 0.0209290i | ||||
\(239\) | −8.27520 | −0.535278 | −0.267639 | − | 0.963519i | \(-0.586244\pi\) | ||||
−0.267639 | + | 0.963519i | \(0.586244\pi\) | |||||||
\(240\) | −0.158629 | − | 0.151351i | −0.0102395 | − | 0.00976967i | ||||
\(241\) | −11.3026 | + | 19.5766i | −0.728063 | + | 1.26104i | 0.229637 | + | 0.973276i | \(0.426246\pi\) |
−0.957701 | + | 0.287766i | \(0.907087\pi\) | |||||||
\(242\) | −9.51275 | − | 4.62197i | −0.611503 | − | 0.297111i | ||||
\(243\) | −0.382524 | + | 1.42760i | −0.0245389 | + | 0.0915804i | ||||
\(244\) | 2.43531 | + | 1.82367i | 0.155905 | + | 0.116749i | ||||
\(245\) | 3.07074 | + | 6.29051i | 0.196182 | + | 0.401886i | ||||
\(246\) | 0.0538598 | − | 0.0621473i | 0.00343397 | − | 0.00396236i | ||||
\(247\) | 7.08705 | − | 4.09171i | 0.450938 | − | 0.260349i | ||||
\(248\) | 9.10893 | − | 28.4712i | 0.578417 | − | 1.80792i | ||||
\(249\) | 0.185716 | + | 0.107223i | 0.0117693 | + | 0.00679501i | ||||
\(250\) | 0.267755 | − | 1.38864i | 0.0169343 | − | 0.0878250i | ||||
\(251\) | 20.9798 | − | 20.9798i | 1.32423 | − | 1.32423i | 0.413916 | − | 0.910315i | \(-0.364161\pi\) |
0.910315 | − | 0.413916i | \(-0.135839\pi\) | |||||||
\(252\) | 15.2198 | + | 4.45570i | 0.958757 | + | 0.280683i | ||||
\(253\) | −10.4463 | − | 10.4463i | −0.656752 | − | 0.656752i | ||||
\(254\) | −10.2945 | − | 15.2127i | −0.645932 | − | 0.954532i | ||||
\(255\) | −0.00252326 | + | 0.00437042i | −0.000158013 | + | 0.000273686i | ||||
\(256\) | 0.750898 | + | 15.9824i | 0.0469311 | + | 0.998898i | ||||
\(257\) | 3.54478 | + | 6.13974i | 0.221117 | + | 0.382986i | 0.955148 | − | 0.296130i | \(-0.0956963\pi\) |
−0.734030 | + | 0.679117i | \(0.762363\pi\) | |||||||
\(258\) | 0.120628 | − | 0.00861763i | 0.00750999 | − | 0.000536510i | ||||
\(259\) | 14.2905 | − | 17.3418i | 0.887967 | − | 1.07756i | ||||
\(260\) | −3.14456 | + | 0.451596i | −0.195017 | + | 0.0280068i | ||||
\(261\) | −6.33557 | − | 1.69761i | −0.392162 | − | 0.105079i | ||||
\(262\) | −15.5816 | + | 5.39143i | −0.962635 | + | 0.333083i | ||||
\(263\) | −1.65374 | − | 0.954790i | −0.101974 | − | 0.0588749i | 0.448146 | − | 0.893961i | \(-0.352085\pi\) |
−0.550120 | + | 0.835086i | \(0.685418\pi\) | |||||||
\(264\) | −0.448162 | − | 0.493237i | −0.0275825 | − | 0.0303567i | ||||
\(265\) | − | 3.33940i | − | 0.205138i | ||||||
\(266\) | 1.81545 | − | 19.1912i | 0.111313 | − | 1.17669i | ||||
\(267\) | 0.280985 | − | 0.280985i | 0.0171960 | − | 0.0171960i | ||||
\(268\) | −2.74117 | + | 22.8947i | −0.167444 | + | 1.39851i | ||||
\(269\) | −10.6256 | + | 2.84712i | −0.647854 | + | 0.173592i | −0.567759 | − | 0.823195i | \(-0.692189\pi\) |
−0.0800959 | + | 0.996787i | \(0.525523\pi\) | |||||||
\(270\) | −0.418124 | − | 0.203154i | −0.0254462 | − | 0.0123636i | ||||
\(271\) | −5.22159 | − | 9.04406i | −0.317189 | − | 0.549387i | 0.662711 | − | 0.748875i | \(-0.269406\pi\) |
−0.979900 | + | 0.199488i | \(0.936072\pi\) | |||||||
\(272\) | 0.353393 | − | 0.103640i | 0.0214276 | − | 0.00628413i | ||||
\(273\) | −0.187509 | + | 0.133797i | −0.0113486 | + | 0.00809778i | ||||
\(274\) | −1.57301 | − | 22.0187i | −0.0950289 | − | 1.33020i | ||||
\(275\) | 1.11257 | − | 4.15219i | 0.0670908 | − | 0.250386i | ||||
\(276\) | −0.148251 | − | 0.346355i | −0.00892366 | − | 0.0208481i | ||||
\(277\) | −4.32374 | − | 16.1364i | −0.259788 | − | 0.969543i | −0.965364 | − | 0.260908i | \(-0.915978\pi\) |
0.705575 | − | 0.708635i | \(-0.250689\pi\) | |||||||
\(278\) | −6.77799 | − | 1.30692i | −0.406517 | − | 0.0783841i | ||||
\(279\) | − | 31.6744i | − | 1.89630i | ||||||
\(280\) | −3.42427 | + | 6.65390i | −0.204639 | + | 0.397647i | ||||
\(281\) | − | 3.30344i | − | 0.197067i | −0.995134 | − | 0.0985333i | \(-0.968585\pi\) | ||
0.995134 | − | 0.0985333i | \(-0.0314151\pi\) | |||||||
\(282\) | 0.171602 | − | 0.889967i | 0.0102188 | − | 0.0529968i | ||||
\(283\) | −3.02969 | − | 11.3070i | −0.180096 | − | 0.672129i | −0.995627 | − | 0.0934151i | \(-0.970222\pi\) |
0.815531 | − | 0.578713i | \(-0.196445\pi\) | |||||||
\(284\) | −8.09003 | − | 3.24029i | −0.480055 | − | 0.192276i | ||||
\(285\) | −0.0730882 | + | 0.272769i | −0.00432937 | + | 0.0161574i | ||||
\(286\) | −9.63174 | + | 0.688087i | −0.569537 | + | 0.0406875i | ||||
\(287\) | −2.55439 | − | 1.16358i | −0.150781 | − | 0.0686838i | ||||
\(288\) | 5.91820 | + | 15.8871i | 0.348733 | + | 0.936153i | ||||
\(289\) | 8.49576 | + | 14.7151i | 0.499751 | + | 0.865594i | ||||
\(290\) | 1.35260 | − | 2.78387i | 0.0794275 | − | 0.163475i | ||||
\(291\) | 0.391540 | − | 0.104913i | 0.0229525 | − | 0.00615011i | ||||
\(292\) | 10.2354 | − | 8.04652i | 0.598983 | − | 0.470887i | ||||
\(293\) | −0.331571 | + | 0.331571i | −0.0193706 | + | 0.0193706i | −0.716726 | − | 0.697355i | \(-0.754360\pi\) |
0.697355 | + | 0.716726i | \(0.254360\pi\) | |||||||
\(294\) | 0.00100161 | + | 0.542614i | 5.84153e−5 | + | 0.0316459i | ||||
\(295\) | − | 0.636062i | − | 0.0370330i | ||||||
\(296\) | 23.9952 | + | 1.14891i | 1.39469 | + | 0.0667790i | ||||
\(297\) | −1.22370 | − | 0.706505i | −0.0710064 | − | 0.0409956i | ||||
\(298\) | 1.88285 | + | 5.44157i | 0.109070 | + | 0.315221i | ||||
\(299\) | −5.27290 | − | 1.41287i | −0.304940 | − | 0.0817084i | ||||
\(300\) | 0.0657099 | − | 0.0877484i | 0.00379376 | − | 0.00506615i | ||||
\(301\) | −1.44622 | − | 3.86608i | −0.0833586 | − | 0.222837i | ||||
\(302\) | −1.16178 | − | 16.2624i | −0.0668530 | − | 0.935799i | ||||
\(303\) | −0.412766 | − | 0.714932i | −0.0237128 | − | 0.0410717i | ||||
\(304\) | 17.6002 | − | 10.7200i | 1.00944 | − | 0.614834i | ||||
\(305\) | −0.760613 | + | 1.31742i | −0.0435526 | + | 0.0754353i | ||||
\(306\) | 0.323183 | − | 0.218698i | 0.0184751 | − | 0.0125021i | ||||
\(307\) | 0.624174 | + | 0.624174i | 0.0356235 | + | 0.0356235i | 0.724694 | − | 0.689071i | \(-0.241981\pi\) |
−0.689071 | + | 0.724694i | \(0.741981\pi\) | |||||||
\(308\) | −11.8232 | + | 19.4322i | −0.673689 | + | 1.10725i | ||||
\(309\) | −0.444256 | + | 0.444256i | −0.0252729 | + | 0.0252729i | ||||
\(310\) | 14.6761 | + | 2.82983i | 0.833546 | + | 0.160723i | ||||
\(311\) | −12.7140 | − | 7.34042i | −0.720944 | − | 0.416237i | 0.0941562 | − | 0.995557i | \(-0.469985\pi\) |
−0.815100 | + | 0.579320i | \(0.803318\pi\) | |||||||
\(312\) | −0.234544 | − | 0.0750387i | −0.0132784 | − | 0.00424823i | ||||
\(313\) | 0.429786 | − | 0.248137i | 0.0242929 | − | 0.0140255i | −0.487804 | − | 0.872953i | \(-0.662202\pi\) |
0.512097 | + | 0.858927i | \(0.328869\pi\) | |||||||
\(314\) | 15.2592 | + | 13.2244i | 0.861127 | + | 0.746293i | ||||
\(315\) | −1.30738 | + | 7.82078i | −0.0736626 | + | 0.440651i | ||||
\(316\) | −29.6479 | + | 4.25779i | −1.66782 | + | 0.239520i | ||||
\(317\) | −8.83678 | + | 32.9793i | −0.496323 | + | 1.85230i | 0.0261676 | + | 0.999658i | \(0.491670\pi\) |
−0.522491 | + | 0.852645i | \(0.674997\pi\) | |||||||
\(318\) | 0.113126 | − | 0.232831i | 0.00634377 | − | 0.0130565i | ||||
\(319\) | 4.70391 | − | 8.14740i | 0.263368 | − | 0.456167i | ||||
\(320\) | −7.88988 | + | 1.32278i | −0.441058 | + | 0.0739459i | ||||
\(321\) | −0.633171 | −0.0353402 | ||||||||
\(322\) | −9.90862 | + | 8.19596i | −0.552186 | + | 0.456743i | ||||
\(323\) | −0.335407 | − | 0.335407i | −0.0186625 | − | 0.0186625i | ||||
\(324\) | 11.0911 | + | 14.1083i | 0.616175 | + | 0.783793i | ||||
\(325\) | −0.411110 | − | 1.53428i | −0.0228043 | − | 0.0851068i | ||||
\(326\) | 17.2563 | − | 5.97089i | 0.955739 | − | 0.330697i | ||||
\(327\) | −0.492143 | + | 0.284139i | −0.0272155 | + | 0.0157129i | ||||
\(328\) | −0.637134 | − | 2.93231i | −0.0351798 | − | 0.161910i | ||||
\(329\) | −30.7925 | + | 2.97028i | −1.69765 | + | 0.163757i | ||||
\(330\) | 0.218231 | − | 0.251810i | 0.0120132 | − | 0.0138617i | ||||
\(331\) | −29.6386 | − | 7.94165i | −1.62909 | − | 0.436512i | −0.675433 | − | 0.737421i | \(-0.736043\pi\) |
−0.953653 | + | 0.300909i | \(0.902710\pi\) | |||||||
\(332\) | 7.19350 | − | 3.07905i | 0.394795 | − | 0.168985i | ||||
\(333\) | 24.5871 | − | 6.58809i | 1.34736 | − | 0.361025i | ||||
\(334\) | −10.8724 | + | 7.35734i | −0.594909 | + | 0.402576i | ||||
\(335\) | −11.5291 | −0.629901 | ||||||||
\(336\) | −0.464155 | + | 0.347925i | −0.0253218 | + | 0.0189808i | ||||
\(337\) | −28.4269 | −1.54851 | −0.774255 | − | 0.632873i | \(-0.781875\pi\) | ||||
−0.774255 | + | 0.632873i | \(0.781875\pi\) | |||||||
\(338\) | 12.2711 | − | 8.30385i | 0.667459 | − | 0.451670i | ||||
\(339\) | 0.922509 | − | 0.247186i | 0.0501038 | − | 0.0134253i | ||||
\(340\) | 0.0724586 | + | 0.169283i | 0.00392962 | + | 0.00918066i | ||||
\(341\) | 43.8833 | + | 11.7585i | 2.37641 | + | 0.636758i | ||||
\(342\) | 14.3009 | − | 16.5014i | 0.773305 | − | 0.892294i | ||||
\(343\) | 17.7549 | − | 5.26911i | 0.958674 | − | 0.284505i | ||||
\(344\) | 2.38660 | − | 3.71163i | 0.128677 | − | 0.200118i | ||||
\(345\) | 0.163137 | − | 0.0941873i | 0.00878301 | − | 0.00507087i | ||||
\(346\) | 27.4492 | − | 9.49776i | 1.47568 | − | 0.510603i | ||||
\(347\) | −1.14244 | − | 4.26364i | −0.0613293 | − | 0.228884i | 0.928458 | − | 0.371438i | \(-0.121135\pi\) |
−0.989787 | + | 0.142554i | \(0.954469\pi\) | |||||||
\(348\) | 0.188613 | − | 0.148277i | 0.0101107 | − | 0.00794849i | ||||
\(349\) | −7.51614 | − | 7.51614i | −0.402330 | − | 0.402330i | 0.476724 | − | 0.879053i | \(-0.341824\pi\) |
−0.879053 | + | 0.476724i | \(0.841824\pi\) | |||||||
\(350\) | −3.50690 | − | 1.30448i | −0.187452 | − | 0.0697275i | ||||
\(351\) | −0.522125 | −0.0278690 | ||||||||
\(352\) | −24.2077 | + | 2.30161i | −1.29028 | + | 0.122676i | ||||
\(353\) | 8.83437 | − | 15.3016i | 0.470206 | − | 0.814420i | −0.529214 | − | 0.848489i | \(-0.677513\pi\) |
0.999420 | + | 0.0340682i | \(0.0108464\pi\) | |||||||
\(354\) | 0.0215472 | − | 0.0443477i | 0.00114522 | − | 0.00235705i | ||||
\(355\) | 1.12778 | − | 4.20893i | 0.0598563 | − | 0.223387i | ||||
\(356\) | −2.06114 | − | 14.3521i | −0.109240 | − | 0.760661i | ||||
\(357\) | 0.0103041 | + | 0.00849107i | 0.000545349 | + | 0.000449395i | ||||
\(358\) | −4.15865 | − | 3.60409i | −0.219792 | − | 0.190482i | ||||
\(359\) | 8.05757 | − | 4.65204i | 0.425262 | − | 0.245525i | −0.272064 | − | 0.962279i | \(-0.587706\pi\) |
0.697326 | + | 0.716754i | \(0.254373\pi\) | |||||||
\(360\) | −7.53541 | + | 3.88245i | −0.397151 | + | 0.204623i | ||||
\(361\) | −6.53219 | − | 3.77136i | −0.343799 | − | 0.198493i | ||||
\(362\) | −22.4660 | − | 4.33186i | −1.18079 | − | 0.227678i | ||||
\(363\) | 0.289852 | − | 0.289852i | 0.0152133 | − | 0.0152133i | ||||
\(364\) | −0.193292 | + | 8.40285i | −0.0101313 | + | 0.440429i | ||||
\(365\) | 4.60313 | + | 4.60313i | 0.240939 | + | 0.240939i | ||||
\(366\) | −0.0976607 | + | 0.0660870i | −0.00510480 | + | 0.00345443i | ||||
\(367\) | −9.32653 | + | 16.1540i | −0.486841 | + | 0.843234i | −0.999886 | − | 0.0151285i | \(-0.995184\pi\) |
0.513044 | + | 0.858362i | \(0.328518\pi\) | |||||||
\(368\) | −13.3583 | − | 3.24530i | −0.696350 | − | 0.169173i | ||||
\(369\) | −1.58978 | − | 2.75358i | −0.0827607 | − | 0.143346i | ||||
\(370\) | 0.855905 | + | 11.9808i | 0.0444964 | + | 0.622853i | ||||
\(371\) | −8.71431 | − | 1.45675i | −0.452424 | − | 0.0756306i | ||||
\(372\) | 0.927388 | + | 0.694470i | 0.0480828 | + | 0.0360066i | ||||
\(373\) | 10.9858 | + | 2.94363i | 0.568822 | + | 0.152415i | 0.531756 | − | 0.846897i | \(-0.321532\pi\) |
0.0370657 | + | 0.999313i | \(0.488199\pi\) | |||||||
\(374\) | 0.183020 | + | 0.528941i | 0.00946373 | + | 0.0273509i | ||||
\(375\) | 0.0474689 | + | 0.0274062i | 0.00245128 | + | 0.00141525i | ||||
\(376\) | −22.2398 | − | 24.4767i | −1.14693 | − | 1.26229i | ||||
\(377\) | − | 3.47631i | − | 0.179039i | ||||||
\(378\) | −0.712538 | + | 1.00249i | −0.0366490 | + | 0.0515625i | ||||
\(379\) | −12.7256 | + | 12.7256i | −0.653673 | + | 0.653673i | −0.953875 | − | 0.300203i | \(-0.902946\pi\) |
0.300203 | + | 0.953875i | \(0.402946\pi\) | |||||||
\(380\) | 6.36815 | + | 8.10047i | 0.326679 | + | 0.415545i | ||||
\(381\) | 0.687673 | − | 0.184261i | 0.0352305 | − | 0.00943999i | ||||
\(382\) | −11.5502 | + | 23.7723i | −0.590962 | + | 1.21629i | ||||
\(383\) | 9.81665 | + | 17.0029i | 0.501608 | + | 0.868810i | 0.999998 | + | 0.00185718i | \(0.000591160\pi\) |
−0.498391 | + | 0.866953i | \(0.666076\pi\) | |||||||
\(384\) | −0.594911 | − | 0.175050i | −0.0303589 | − | 0.00893299i | ||||
\(385\) | −10.3500 | − | 4.71462i | −0.527483 | − | 0.240279i | ||||
\(386\) | 18.1619 | − | 1.29748i | 0.924416 | − | 0.0660399i | ||||
\(387\) | 1.21016 | − | 4.51639i | 0.0615160 | − | 0.229581i | ||||
\(388\) | 5.49933 | − | 13.7302i | 0.279186 | − | 0.697044i | ||||
\(389\) | −5.78305 | − | 21.5826i | −0.293212 | − | 1.09428i | −0.942627 | − | 0.333848i | \(-0.891653\pi\) |
0.649415 | − | 0.760434i | \(-0.275014\pi\) | |||||||
\(390\) | 0.0233119 | − | 0.120901i | 0.00118044 | − | 0.00612204i | ||||
\(391\) | 0.316416i | 0.0160018i | ||||||||
\(392\) | 15.8699 | + | 11.8384i | 0.801549 | + | 0.597929i | ||||
\(393\) | − | 0.639045i | − | 0.0322355i | ||||||
\(394\) | 14.9139 | + | 2.87567i | 0.751349 | + | 0.144874i | ||||
\(395\) | −3.87608 | − | 14.4657i | −0.195027 | − | 0.727850i | ||||
\(396\) | −23.6874 | + | 10.1390i | −1.19034 | + | 0.509503i | ||||
\(397\) | −7.74113 | + | 28.8903i | −0.388516 | + | 1.44996i | 0.444033 | + | 0.896011i | \(0.353547\pi\) |
−0.832549 | + | 0.553952i | \(0.813119\pi\) | |||||||
\(398\) | 1.90232 | + | 26.6284i | 0.0953546 | + | 1.33476i | ||||
\(399\) | 0.679918 | + | 0.309717i | 0.0340385 | + | 0.0155052i | ||||
\(400\) | −1.12568 | − | 3.83834i | −0.0562840 | − | 0.191917i | ||||
\(401\) | 6.84101 | + | 11.8490i | 0.341624 | + | 0.591710i | 0.984734 | − | 0.174063i | \(-0.0556898\pi\) |
−0.643111 | + | 0.765773i | \(0.722356\pi\) | |||||||
\(402\) | −0.803834 | − | 0.390560i | −0.0400916 | − | 0.0194793i | ||||
\(403\) | 16.2154 | − | 4.34491i | 0.807748 | − | 0.216435i | ||||
\(404\) | −29.9085 | − | 3.58094i | −1.48800 | − | 0.178158i | ||||
\(405\) | −6.34485 | + | 6.34485i | −0.315278 | + | 0.315278i | ||||
\(406\) | −6.67458 | − | 4.74408i | −0.331254 | − | 0.235445i | ||||
\(407\) | 36.5099i | 1.80973i | ||||||||
\(408\) | −0.000682655 | 0.0142574i | −3.37965e−5 | 0.000705847i | ||||||
\(409\) | 16.4688 | + | 9.50825i | 0.814328 | + | 0.470153i | 0.848457 | − | 0.529265i | \(-0.177532\pi\) |
−0.0341283 | + | 0.999417i | \(0.510866\pi\) | |||||||
\(410\) | 1.41788 | − | 0.490605i | 0.0700243 | − | 0.0242293i | ||||
\(411\) | 0.826427 | + | 0.221441i | 0.0407647 | + | 0.0109229i | ||||
\(412\) | 3.25880 | + | 22.6917i | 0.160550 | + | 1.11794i | ||||
\(413\) | −1.65983 | − | 0.277470i | −0.0816749 | − | 0.0136534i | ||||
\(414\) | −14.5291 | + | 1.03795i | −0.714068 | + | 0.0510127i | ||||
\(415\) | 1.95619 | + | 3.38822i | 0.0960257 | + | 0.166321i | ||||
\(416\) | −7.32141 | + | 5.20906i | −0.358962 | + | 0.255395i | ||||
\(417\) | 0.133771 | − | 0.231698i | 0.00655079 | − | 0.0113463i | ||||
\(418\) | 17.5529 | + | 25.9390i | 0.858543 | + | 1.26872i | ||||
\(419\) | 6.18898 | + | 6.18898i | 0.302352 | + | 0.302352i | 0.841933 | − | 0.539582i | \(-0.181418\pi\) |
−0.539582 | + | 0.841933i | \(0.681418\pi\) | |||||||
\(420\) | −0.200318 | − | 0.209751i | −0.00977453 | − | 0.0102348i | ||||
\(421\) | −11.3351 | + | 11.3351i | −0.552441 | + | 0.552441i | −0.927145 | − | 0.374704i | \(-0.877744\pi\) |
0.374704 | + | 0.927145i | \(0.377744\pi\) | |||||||
\(422\) | −0.0905926 | + | 0.469833i | −0.00440998 | + | 0.0228711i | ||||
\(423\) | −30.3476 | − | 17.5212i | −1.47555 | − | 0.851910i | ||||
\(424\) | −4.32602 | − | 8.39633i | −0.210090 | − | 0.407762i | ||||
\(425\) | −0.0797343 | + | 0.0460346i | −0.00386768 | + | 0.00223301i | ||||
\(426\) | 0.221213 | − | 0.255252i | 0.0107178 | − | 0.0123670i | ||||
\(427\) | 3.10606 | + | 2.55955i | 0.150313 | + | 0.123865i | ||||
\(428\) | −13.8483 | + | 18.4928i | −0.669381 | + | 0.893885i | ||||
\(429\) | 0.0968656 | − | 0.361508i | 0.00467672 | − | 0.0174537i | ||||
\(430\) | 1.98452 | + | 0.964218i | 0.0957019 | + | 0.0464987i | ||||
\(431\) | 16.1722 | − | 28.0111i | 0.778988 | − | 1.34925i | −0.153537 | − | 0.988143i | \(-0.549067\pi\) |
0.932525 | − | 0.361104i | \(-0.117600\pi\) | |||||||
\(432\) | −1.31448 | + | 0.0308619i | −0.0632427 | + | 0.00148484i | ||||
\(433\) | 7.42066 | 0.356614 | 0.178307 | − | 0.983975i | \(-0.442938\pi\) | ||||
0.178307 | + | 0.983975i | \(0.442938\pi\) | |||||||
\(434\) | 13.7867 | − | 37.0634i | 0.661783 | − | 1.77910i | ||||
\(435\) | 0.0848240 | + | 0.0848240i | 0.00406700 | + | 0.00406700i | ||||
\(436\) | −2.46504 | + | 20.5883i | −0.118054 | + | 0.986002i | ||||
\(437\) | 4.58261 | + | 17.1025i | 0.219216 | + | 0.818125i | ||||
\(438\) | 0.165005 | + | 0.476876i | 0.00788425 | + | 0.0227860i | ||||
\(439\) | −28.6395 | + | 16.5350i | −1.36689 | + | 0.789173i | −0.990529 | − | 0.137301i | \(-0.956157\pi\) |
−0.376359 | + | 0.926474i | \(0.622824\pi\) | |||||||
\(440\) | −2.58156 | − | 11.8812i | −0.123071 | − | 0.566415i | ||||
\(441\) | 19.8383 | + | 6.82333i | 0.944682 | + | 0.324920i | ||||
\(442\) | 0.156293 | + | 0.135451i | 0.00743409 | + | 0.00644274i | ||||
\(443\) | −10.0528 | − | 2.69364i | −0.477622 | − | 0.127978i | 0.0119730 | − | 0.999928i | \(-0.496189\pi\) |
−0.489595 | + | 0.871950i | \(0.662855\pi\) | |||||||
\(444\) | −0.346187 | + | 0.864325i | −0.0164293 | + | 0.0410191i | ||||
\(445\) | 7.00266 | − | 1.87636i | 0.331958 | − | 0.0889479i | ||||
\(446\) | −8.84579 | − | 13.0719i | −0.418860 | − | 0.618974i | ||||
\(447\) | −0.223174 | −0.0105557 | ||||||||
\(448\) | 0.0100548 | + | 21.1660i | 0.000475045 | + | 1.00000i | ||||
\(449\) | 18.1951 | 0.858681 | 0.429341 | − | 0.903143i | \(-0.358746\pi\) | ||||
0.429341 | + | 0.903143i | \(0.358746\pi\) | |||||||
\(450\) | −2.37536 | − | 3.51021i | −0.111976 | − | 0.165473i | ||||
\(451\) | 4.40513 | − | 1.18035i | 0.207429 | − | 0.0555805i | ||||
\(452\) | 12.9570 | − | 32.3497i | 0.609445 | − | 1.52160i | ||||
\(453\) | 0.610377 | + | 0.163550i | 0.0286780 | + | 0.00768425i | ||||
\(454\) | −21.2338 | − | 18.4022i | −0.996549 | − | 0.863657i | ||||
\(455\) | −4.18312 | + | 0.403508i | −0.196108 | + | 0.0189167i | ||||
\(456\) | 0.169590 | + | 0.780511i | 0.00794178 | + | 0.0365508i | ||||
\(457\) | −8.52955 | + | 4.92454i | −0.398996 | + | 0.230360i | −0.686051 | − | 0.727554i | \(-0.740657\pi\) |
0.287055 | + | 0.957914i | \(0.407324\pi\) | |||||||
\(458\) | −2.14019 | − | 6.18529i | −0.100004 | − | 0.289020i | ||||
\(459\) | 0.00783290 | + | 0.0292328i | 0.000365609 | + | 0.00136447i | ||||
\(460\) | 0.817119 | − | 6.82469i | 0.0380984 | − | 0.318203i | ||||
\(461\) | 20.6665 | + | 20.6665i | 0.962535 | + | 0.962535i | 0.999323 | − | 0.0367880i | \(-0.0117126\pi\) |
−0.0367880 | + | 0.999323i | \(0.511713\pi\) | |||||||
\(462\) | −0.561910 | − | 0.679330i | −0.0261424 | − | 0.0316053i | ||||
\(463\) | −5.12137 | −0.238010 | −0.119005 | − | 0.992894i | \(-0.537970\pi\) | ||||
−0.119005 | + | 0.992894i | \(0.537970\pi\) | |||||||
\(464\) | −0.205479 | − | 8.75177i | −0.00953910 | − | 0.406291i | ||||
\(465\) | −0.289648 | + | 0.501685i | −0.0134321 | + | 0.0232651i | ||||
\(466\) | 24.4066 | + | 11.8585i | 1.13062 | + | 0.549333i | ||||
\(467\) | 4.03197 | − | 15.0475i | 0.186577 | − | 0.696315i | −0.807710 | − | 0.589580i | \(-0.799293\pi\) |
0.994287 | − | 0.106736i | \(-0.0340399\pi\) | |||||||
\(468\) | −5.70691 | + | 7.62095i | −0.263802 | + | 0.352279i | ||||
\(469\) | −5.02934 | + | 30.0856i | −0.232233 | + | 1.38922i | ||||
\(470\) | 10.8296 | − | 12.4960i | 0.499532 | − | 0.576396i | ||||
\(471\) | −0.677764 | + | 0.391307i | −0.0312297 | + | 0.0180305i | ||||
\(472\) | −0.823984 | − | 1.59926i | −0.0379269 | − | 0.0736121i | ||||
\(473\) | 5.80798 | + | 3.35324i | 0.267051 | + | 0.154182i | ||||
\(474\) | 0.219792 | − | 1.13989i | 0.0100954 | − | 0.0523569i | ||||
\(475\) | −3.64299 | + | 3.64299i | −0.167152 | + | 0.167152i | ||||
\(476\) | 0.473359 | − | 0.115237i | 0.0216964 | − | 0.00528189i | ||||
\(477\) | −7.07685 | − | 7.07685i | −0.324027 | − | 0.324027i | ||||
\(478\) | −6.55878 | − | 9.69229i | −0.299992 | − | 0.443315i | ||||
\(479\) | −4.22458 | + | 7.31719i | −0.193026 | + | 0.334331i | −0.946252 | − | 0.323431i | \(-0.895163\pi\) |
0.753226 | + | 0.657762i | \(0.228497\pi\) | |||||||
\(480\) | 0.0515426 | − | 0.305751i | 0.00235259 | − | 0.0139556i | ||||
\(481\) | 6.74543 | + | 11.6834i | 0.307565 | + | 0.532718i | ||||
\(482\) | −31.8873 | + | 2.27801i | −1.45243 | + | 0.103761i | ||||
\(483\) | −0.174620 | − | 0.466800i | −0.00794549 | − | 0.0212402i | ||||
\(484\) | −2.12618 | − | 14.8050i | −0.0966447 | − | 0.672957i | ||||
\(485\) | 7.14329 | + | 1.91404i | 0.324360 | + | 0.0869120i | ||||
\(486\) | −1.97525 | + | 0.683459i | −0.0895990 | + | 0.0310023i | ||||
\(487\) | 24.9452 | + | 14.4021i | 1.13037 | + | 0.652622i | 0.944029 | − | 0.329862i | \(-0.107002\pi\) |
0.186346 | + | 0.982484i | \(0.440336\pi\) | |||||||
\(488\) | −0.205780 | + | 4.29775i | −0.00931521 | + | 0.194550i | ||||
\(489\) | 0.707729i | 0.0320046i | ||||||||
\(490\) | −4.93391 | + | 8.58234i | −0.222892 | + | 0.387710i | ||||
\(491\) | −16.8144 | + | 16.8144i | −0.758824 | + | 0.758824i | −0.976108 | − | 0.217284i | \(-0.930280\pi\) |
0.217284 | + | 0.976108i | \(0.430280\pi\) | |||||||
\(492\) | 0.115478 | + | 0.0138262i | 0.00520615 | + | 0.000623331i | ||||
\(493\) | −0.194632 | + | 0.0521514i | −0.00876578 | + | 0.00234878i | ||||
\(494\) | 10.4095 | + | 5.05765i | 0.468344 | + | 0.227555i | ||||
\(495\) | −6.44153 | − | 11.1571i | −0.289525 | − | 0.501473i | ||||
\(496\) | 40.5663 | − | 11.8970i | 1.82148 | − | 0.534191i | ||||
\(497\) | −10.4914 | − | 4.77905i | −0.470604 | − | 0.214370i | ||||
\(498\) | 0.0216107 | + | 0.302503i | 0.000968397 | + | 0.0135555i | ||||
\(499\) | 0.577835 | − | 2.15651i | 0.0258675 | − | 0.0965387i | −0.951785 | − | 0.306765i | \(-0.900753\pi\) |
0.977653 | + | 0.210226i | \(0.0674201\pi\) | |||||||
\(500\) | 1.83865 | − | 0.787001i | 0.0822269 | − | 0.0351958i | ||||
\(501\) | −0.131689 | − | 0.491472i | −0.00588345 | − | 0.0219573i | ||||
\(502\) | 41.2006 | + | 7.94425i | 1.83887 | + | 0.354569i | ||||
\(503\) | 35.7158i | 1.59249i | 0.604976 | + | 0.796244i | \(0.293183\pi\) | ||||
−0.604976 | + | 0.796244i | \(0.706817\pi\) | |||||||
\(504\) | 6.84422 | + | 21.3576i | 0.304866 | + | 0.951344i | ||||
\(505\) | − | 15.0611i | − | 0.670208i | ||||||
\(506\) | 3.95562 | − | 20.5147i | 0.175849 | − | 0.911989i | ||||
\(507\) | 0.148631 | + | 0.554699i | 0.00660094 | + | 0.0246350i | ||||
\(508\) | 9.65862 | − | 24.1147i | 0.428532 | − | 1.06992i | ||||
\(509\) | 7.19965 | − | 26.8695i | 0.319119 | − | 1.19097i | −0.600974 | − | 0.799269i | \(-0.705220\pi\) |
0.920093 | − | 0.391700i | \(-0.128113\pi\) | |||||||
\(510\) | −0.00711873 | 0.000508559i | −0.000315223 | 2.25194e-5i | ||||||
\(511\) | 14.0201 | − | 10.0040i | 0.620212 | − | 0.442552i | ||||
\(512\) | −18.1241 | + | 13.5468i | −0.800980 | + | 0.598691i | ||||
\(513\) | 0.846749 | + | 1.46661i | 0.0373849 | + | 0.0647525i | ||||
\(514\) | −4.38161 | + | 9.01805i | −0.193264 | + | 0.397769i | ||||
\(515\) | −11.0717 | + | 2.96665i | −0.487877 | + | 0.130726i | ||||
\(516\) | 0.105701 | + | 0.134455i | 0.00465323 | + | 0.00591905i | ||||
\(517\) | 35.5407 | − | 35.5407i | 1.56308 | − | 1.56308i | ||||
\(518\) | 31.6378 | + | 2.99288i | 1.39009 | + | 0.131500i | ||||
\(519\) | 1.12577i | 0.0494157i | ||||||||
\(520\) | −3.02125 | − | 3.32512i | −0.132490 | − | 0.145816i | ||||
\(521\) | 30.3669 | + | 17.5323i | 1.33040 | + | 0.768106i | 0.985361 | − | 0.170483i | \(-0.0545328\pi\) |
0.345038 | + | 0.938589i | \(0.387866\pi\) | |||||||
\(522\) | −3.03314 | − | 8.76599i | −0.132757 | − | 0.383677i | ||||
\(523\) | 12.9435 | + | 3.46820i | 0.565980 | + | 0.151654i | 0.530452 | − | 0.847715i | \(-0.322022\pi\) |
0.0355279 | + | 0.999369i | \(0.488689\pi\) | |||||||
\(524\) | −18.6644 | − | 13.9767i | −0.815357 | − | 0.610576i | ||||
\(525\) | 0.0922249 | − | 0.111917i | 0.00402502 | − | 0.00488444i | ||||
\(526\) | −0.192436 | − | 2.69369i | −0.00839060 | − | 0.117450i | ||||
\(527\) | −0.486527 | − | 0.842689i | −0.0211934 | − | 0.0367081i | ||||
\(528\) | 0.222496 | − | 0.915839i | 0.00968290 | − | 0.0398568i | ||||
\(529\) | −5.59449 | + | 9.68993i | −0.243238 | + | 0.421301i | ||||
\(530\) | 3.91126 | − | 2.64675i | 0.169894 | − | 0.114967i | ||||
\(531\) | −1.34794 | − | 1.34794i | −0.0584956 | − | 0.0584956i | ||||
\(532\) | 23.9165 | − | 13.0843i | 1.03691 | − | 0.567275i | ||||
\(533\) | 1.19160 | − | 1.19160i | 0.0516137 | − | 0.0516137i | ||||
\(534\) | 0.551805 | + | 0.106398i | 0.0238789 | + | 0.00460431i | ||||
\(535\) | −10.0040 | − | 5.77581i | −0.432510 | − | 0.249710i | ||||
\(536\) | −28.9878 | + | 14.9353i | −1.25208 | + | 0.645107i | ||||
\(537\) | 0.184714 | − | 0.106645i | 0.00797099 | − | 0.00460205i | ||||
\(538\) | −11.7563 | − | 10.1886i | −0.506852 | − | 0.439262i | ||||
\(539\) | −16.8180 | + | 24.9520i | −0.724401 | + | 1.07476i | ||||
\(540\) | −0.0934544 | − | 0.650742i | −0.00402164 | − | 0.0280035i | ||||
\(541\) | −7.51470 | + | 28.0452i | −0.323082 | + | 1.20576i | 0.593144 | + | 0.805097i | \(0.297887\pi\) |
−0.916226 | + | 0.400662i | \(0.868780\pi\) | |||||||
\(542\) | 6.45426 | − | 13.2839i | 0.277234 | − | 0.570593i | ||||
\(543\) | 0.443390 | − | 0.767974i | 0.0190277 | − | 0.0329569i | ||||
\(544\) | 0.401481 | + | 0.331766i | 0.0172134 | + | 0.0142243i | ||||
\(545\) | −10.3677 | −0.444103 | ||||||||
\(546\) | −0.305326 | − | 0.113574i | −0.0130667 | − | 0.00486051i | ||||
\(547\) | 22.8846 | + | 22.8846i | 0.978475 | + | 0.978475i | 0.999773 | − | 0.0212980i | \(-0.00677986\pi\) |
−0.0212980 | + | 0.999773i | \(0.506780\pi\) | |||||||
\(548\) | 24.5426 | − | 19.2940i | 1.04841 | − | 0.824200i | ||||
\(549\) | 1.17998 | + | 4.40376i | 0.0503605 | + | 0.187948i | ||||
\(550\) | 5.74503 | − | 1.98785i | 0.244969 | − | 0.0847622i | ||||
\(551\) | −9.76470 | + | 5.63765i | −0.415990 | + | 0.240172i | ||||
\(552\) | 0.288165 | − | 0.448153i | 0.0122651 | − | 0.0190746i | ||||
\(553\) | −39.4398 | + | 3.80440i | −1.67715 | + | 0.161780i | ||||
\(554\) | 15.4728 | − | 17.8536i | 0.657375 | − | 0.758526i | ||||
\(555\) | −0.449676 | − | 0.120490i | −0.0190877 | − | 0.00511452i | ||||
\(556\) | −3.84139 | − | 8.97453i | −0.162911 | − | 0.380605i | ||||
\(557\) | 28.7888 | − | 7.71394i | 1.21982 | − | 0.326850i | 0.409213 | − | 0.912439i | \(-0.365803\pi\) |
0.810609 | + | 0.585588i | \(0.199136\pi\) | |||||||
\(558\) | 37.0985 | − | 25.1046i | 1.57050 | − | 1.06276i | ||||
\(559\) | 2.47813 | 0.104814 | ||||||||
\(560\) | −10.5074 | + | 1.26311i | −0.444017 | + | 0.0533760i | ||||
\(561\) | −0.0216933 | −0.000915892 | ||||||||
\(562\) | 3.86913 | − | 2.61825i | 0.163210 | − | 0.110444i | ||||
\(563\) | 26.3750 | − | 7.06715i | 1.11157 | − | 0.297845i | 0.344104 | − | 0.938932i | \(-0.388183\pi\) |
0.767469 | + | 0.641087i | \(0.221516\pi\) | |||||||
\(564\) | 1.17838 | − | 0.504384i | 0.0496187 | − | 0.0212384i | ||||
\(565\) | 16.8303 | + | 4.50967i | 0.708057 | + | 0.189723i | ||||
\(566\) | 10.8419 | − | 12.5102i | 0.455720 | − | 0.525843i | ||||
\(567\) | 13.7893 | + | 19.3250i | 0.579097 | + | 0.811572i | ||||
\(568\) | −2.61684 | − | 12.0436i | −0.109800 | − | 0.505338i | ||||
\(569\) | 15.9799 | − | 9.22603i | 0.669914 | − | 0.386775i | −0.126130 | − | 0.992014i | \(-0.540256\pi\) |
0.796044 | + | 0.605239i | \(0.206922\pi\) | |||||||
\(570\) | −0.377407 | + | 0.130588i | −0.0158079 | + | 0.00546971i | ||||
\(571\) | −1.16357 | − | 4.34249i | −0.0486938 | − | 0.181728i | 0.937296 | − | 0.348535i | \(-0.113321\pi\) |
−0.985989 | + | 0.166808i | \(0.946654\pi\) | |||||||
\(572\) | −8.43986 | − | 10.7358i | −0.352888 | − | 0.448885i | ||||
\(573\) | −0.724336 | − | 0.724336i | −0.0302596 | − | 0.0302596i | ||||
\(574\) | −0.661730 | − | 3.91404i | −0.0276201 | − | 0.163369i | ||||
\(575\) | 3.43672 | 0.143321 | ||||||||
\(576\) | −13.9170 | + | 19.5234i | −0.579874 | + | 0.813477i | ||||
\(577\) | 6.03648 | − | 10.4555i | 0.251302 | − | 0.435267i | −0.712583 | − | 0.701588i | \(-0.752475\pi\) |
0.963884 | + | 0.266321i | \(0.0858080\pi\) | |||||||
\(578\) | −10.5014 | + | 21.6135i | −0.436800 | + | 0.899004i | ||||
\(579\) | −0.182653 | + | 0.681669i | −0.00759079 | + | 0.0283292i | ||||
\(580\) | 4.33264 | − | 0.622219i | 0.179903 | − | 0.0258363i | ||||
\(581\) | 9.69506 | − | 3.62672i | 0.402219 | − | 0.150462i | ||||
\(582\) | 0.433207 | + | 0.375437i | 0.0179570 | + | 0.0155624i | ||||
\(583\) | 12.4318 | − | 7.17748i | 0.514871 | − | 0.297261i | ||||
\(584\) | 17.5369 | + | 5.61065i | 0.725680 | + | 0.232170i | ||||
\(585\) | −4.12267 | − | 2.38023i | −0.170452 | − | 0.0984103i | ||||
\(586\) | −0.651148 | − | 0.125554i | −0.0268987 | − | 0.00518657i | ||||
\(587\) | 32.8170 | − | 32.8170i | 1.35450 | − | 1.35450i | 0.473954 | − | 0.880550i | \(-0.342826\pi\) |
0.880550 | − | 0.473954i | \(-0.157174\pi\) | |||||||
\(588\) | −0.634739 | + | 0.431239i | −0.0261762 | + | 0.0177840i | ||||
\(589\) | −38.5017 | − | 38.5017i | −1.58644 | − | 1.58644i | ||||
\(590\) | 0.744984 | − | 0.504131i | 0.0306705 | − | 0.0207548i | ||||
\(591\) | −0.294340 | + | 0.509813i | −0.0121076 | + | 0.0209709i | ||||
\(592\) | 17.6725 | + | 29.0149i | 0.726337 | + | 1.19250i | ||||
\(593\) | 16.6548 | + | 28.8469i | 0.683929 | + | 1.18460i | 0.973772 | + | 0.227526i | \(0.0730636\pi\) |
−0.289843 | + | 0.957074i | \(0.593603\pi\) | |||||||
\(594\) | −0.142395 | − | 1.99322i | −0.00584252 | − | 0.0817827i | ||||
\(595\) | 0.0853467 | + | 0.228152i | 0.00349887 | + | 0.00935330i | ||||
\(596\) | −4.88109 | + | 6.51816i | −0.199937 | + | 0.266994i | ||||
\(597\) | −0.999440 | − | 0.267799i | −0.0409044 | − | 0.0109603i | ||||
\(598\) | −2.52439 | − | 7.29568i | −0.103230 | − | 0.298342i | ||||
\(599\) | −4.51865 | − | 2.60884i | −0.184627 | − | 0.106594i | 0.404838 | − | 0.914388i | \(-0.367328\pi\) |
−0.589465 | + | 0.807794i | \(0.700661\pi\) | |||||||
\(600\) | 0.154855 | + | 0.00741459i | 0.00632194 | + | 0.000302699i | ||||
\(601\) | 44.6299i | 1.82049i | 0.414068 | + | 0.910246i | \(0.364108\pi\) | ||||
−0.414068 | + | 0.910246i | \(0.635892\pi\) | |||||||
\(602\) | 3.38187 | − | 4.75806i | 0.137835 | − | 0.193924i | ||||
\(603\) | −24.4324 | + | 24.4324i | −0.994964 | + | 0.994964i | ||||
\(604\) | 18.1265 | − | 14.2501i | 0.737557 | − | 0.579826i | ||||
\(605\) | 7.22365 | − | 1.93557i | 0.293683 | − | 0.0786921i | ||||
\(606\) | 0.510209 | − | 1.05009i | 0.0207258 | − | 0.0426571i | ||||
\(607\) | −21.7108 | − | 37.6042i | −0.881214 | − | 1.52631i | −0.849993 | − | 0.526795i | \(-0.823394\pi\) |
−0.0312213 | − | 0.999512i | \(-0.509940\pi\) | |||||||
\(608\) | 26.5053 | + | 12.1176i | 1.07493 | + | 0.491434i | ||||
\(609\) | 0.258355 | − | 0.184349i | 0.0104691 | − | 0.00747020i | ||||
\(610\) | −2.14587 | + | 0.153300i | −0.0868837 | + | 0.00620694i | ||||
\(611\) | 4.80691 | − | 17.9396i | 0.194467 | − | 0.725760i | ||||
\(612\) | 0.512298 | + | 0.205190i | 0.0207084 | + | 0.00829431i | ||||
\(613\) | 11.5491 | + | 43.1018i | 0.466463 | + | 1.74086i | 0.651992 | + | 0.758226i | \(0.273934\pi\) |
−0.185528 | + | 0.982639i | \(0.559400\pi\) | |||||||
\(614\) | −0.236351 | + | 1.22577i | −0.00953836 | + | 0.0494680i | ||||
\(615\) | 0.0581513i | 0.00234489i | ||||||||
\(616\) | −32.1307 | + | 1.55374i | −1.29458 | + | 0.0626019i | ||||
\(617\) | − | 7.00581i | − | 0.282043i | −0.990007 | − | 0.141022i | \(-0.954961\pi\) | ||
0.990007 | − | 0.141022i | \(-0.0450387\pi\) | |||||||
\(618\) | −0.872442 | − | 0.168223i | −0.0350948 | − | 0.00676693i | ||||
\(619\) | 5.73860 | + | 21.4167i | 0.230654 | + | 0.860811i | 0.980060 | + | 0.198701i | \(0.0636723\pi\) |
−0.749406 | + | 0.662110i | \(0.769661\pi\) | |||||||
\(620\) | 8.31759 | + | 19.4322i | 0.334043 | + | 0.780415i | ||||
\(621\) | 0.292383 | − | 1.09119i | 0.0117329 | − | 0.0437879i | ||||
\(622\) | −1.47945 | − | 20.7091i | −0.0593204 | − | 0.830358i | ||||
\(623\) | −1.84166 | − | 19.0923i | −0.0737844 | − | 0.764915i | ||||
\(624\) | −0.0980066 | − | 0.334183i | −0.00392341 | − | 0.0133780i | ||||
\(625\) | 0.500000 | + | 0.866025i | 0.0200000 | + | 0.0346410i | ||||
\(626\) | 0.631269 | + | 0.306715i | 0.0252306 | + | 0.0122588i | ||||
\(627\) | −1.17254 | + | 0.314181i | −0.0468268 | + | 0.0125472i | ||||
\(628\) | −3.39478 | + | 28.3536i | −0.135466 | + | 1.13143i | ||||
\(629\) | 0.552938 | − | 0.552938i | 0.0220471 | − | 0.0220471i | ||||
\(630\) | −10.1963 | + | 4.66735i | −0.406229 | + | 0.185952i | ||||
\(631\) | 6.12412i | 0.243797i | 0.992543 | + | 0.121899i | \(0.0388983\pi\) | ||||
−0.992543 | + | 0.121899i | \(0.961102\pi\) | |||||||
\(632\) | −28.4853 | − | 31.3503i | −1.13308 | − | 1.24705i | ||||
\(633\) | −0.0160607 | − | 0.00927265i | −0.000638355 | − | 0.000368555i | ||||
\(634\) | −45.6307 | + | 15.7888i | −1.81223 | + | 0.627053i | ||||
\(635\) | 12.5459 | + | 3.36168i | 0.497871 | + | 0.133404i | ||||
\(636\) | 0.362363 | − | 0.0520397i | 0.0143686 | − | 0.00206351i | ||||
\(637\) | −0.771834 | + | 11.0920i | −0.0305812 | + | 0.439483i | ||||
\(638\) | 13.2708 | − | 0.948063i | 0.525397 | − | 0.0375342i | ||||
\(639\) | −6.52956 | − | 11.3095i | −0.258306 | − | 0.447398i | ||||
\(640\) | −7.80268 | − | 8.19257i | −0.308428 | − | 0.323840i | ||||
\(641\) | −4.74342 | + | 8.21585i | −0.187354 | + | 0.324507i | −0.944367 | − | 0.328893i | \(-0.893324\pi\) |
0.757013 | + | 0.653400i | \(0.226658\pi\) | |||||||
\(642\) | −0.501840 | − | 0.741598i | −0.0198061 | − | 0.0292686i | ||||
\(643\) | −6.96556 | − | 6.96556i | −0.274695 | − | 0.274695i | 0.556292 | − | 0.830987i | \(-0.312224\pi\) |
−0.830987 | + | 0.556292i | \(0.812224\pi\) | |||||||
\(644\) | −17.4529 | − | 5.10945i | −0.687739 | − | 0.201340i | ||||
\(645\) | −0.0604679 | + | 0.0604679i | −0.00238092 | + | 0.00238092i | ||||
\(646\) | 0.127006 | − | 0.658681i | 0.00499699 | − | 0.0259155i | ||||
\(647\) | 19.2229 | + | 11.0984i | 0.755730 | + | 0.436321i | 0.827761 | − | 0.561081i | \(-0.189614\pi\) |
−0.0720303 | + | 0.997402i | \(0.522948\pi\) | |||||||
\(648\) | −7.73359 | + | 24.1724i | −0.303804 | + | 0.949582i | ||||
\(649\) | 2.36790 | − | 1.36711i | 0.0929481 | − | 0.0536636i | ||||
\(650\) | 1.47118 | − | 1.69756i | 0.0577046 | − | 0.0665837i | ||||
\(651\) | 1.18281 | + | 0.974699i | 0.0463582 | + | 0.0382015i | ||||
\(652\) | 20.6704 | + | 15.4789i | 0.809516 | + | 0.606202i | ||||
\(653\) | −9.82763 | + | 36.6772i | −0.384585 | + | 1.43529i | 0.454235 | + | 0.890882i | \(0.349913\pi\) |
−0.838820 | + | 0.544409i | \(0.816754\pi\) | |||||||
\(654\) | −0.722859 | − | 0.351216i | −0.0282660 | − | 0.0137336i | ||||
\(655\) | 5.82939 | − | 10.0968i | 0.227773 | − | 0.394514i | ||||
\(656\) | 2.92947 | − | 3.07033i | 0.114376 | − | 0.119876i | ||||
\(657\) | 19.5099 | 0.761152 | ||||||||
\(658\) | −27.8845 | − | 33.7114i | −1.08705 | − | 1.31421i | ||||
\(659\) | −17.4235 | − | 17.4235i | −0.678723 | − | 0.678723i | 0.280989 | − | 0.959711i | \(-0.409338\pi\) |
−0.959711 | + | 0.280989i | \(0.909338\pi\) | |||||||
\(660\) | 0.467897 | + | 0.0560213i | 0.0182129 | + | 0.00218063i | ||||
\(661\) | −2.98542 | − | 11.1417i | −0.116119 | − | 0.433363i | 0.883249 | − | 0.468904i | \(-0.155351\pi\) |
−0.999368 | + | 0.0355413i | \(0.988684\pi\) | |||||||
\(662\) | −14.1894 | − | 41.0085i | −0.551488 | − | 1.59384i | ||||
\(663\) | −0.00694202 | + | 0.00400798i | −0.000269606 | + | 0.000155657i | ||||
\(664\) | 9.30776 | + | 5.98495i | 0.361211 | + | 0.232261i | ||||
\(665\) | 7.91734 | + | 11.0957i | 0.307021 | + | 0.430273i | ||||
\(666\) | 27.2035 | + | 23.5759i | 1.05412 | + | 0.913547i | ||||
\(667\) | 7.26513 | + | 1.94669i | 0.281307 | + | 0.0753760i | ||||
\(668\) | −17.2345 | − | 6.90290i | −0.666822 | − | 0.267081i | ||||
\(669\) | 0.590900 | − | 0.158331i | 0.0228455 | − | 0.00612144i | ||||
\(670\) | −9.13775 | − | 13.5034i | −0.353022 | − | 0.521681i | ||||
\(671\) | −6.53923 | −0.252444 | ||||||||
\(672\) | −0.775386 | − | 0.267881i | −0.0299112 | − | 0.0103337i | ||||
\(673\) | 36.3086 | 1.39959 | 0.699797 | − | 0.714342i | \(-0.253274\pi\) | ||||
0.699797 | + | 0.714342i | \(0.253274\pi\) | |||||||
\(674\) | −22.5306 | − | 33.2948i | −0.867848 | − | 1.28247i | ||||
\(675\) | 0.317509 | − | 0.0850762i | 0.0122209 | − | 0.00327459i | ||||
\(676\) | 19.4517 | + | 7.79095i | 0.748141 | + | 0.299652i | ||||
\(677\) | −18.9675 | − | 5.08232i | −0.728980 | − | 0.195330i | −0.124805 | − | 0.992181i | \(-0.539831\pi\) |
−0.604175 | + | 0.796852i | \(0.706497\pi\) | |||||||
\(678\) | 1.02068 | + | 0.884569i | 0.0391989 | + | 0.0339717i | ||||
\(679\) | 8.11088 | − | 17.8057i | 0.311267 | − | 0.683322i | ||||
\(680\) | −0.140842 | + | 0.219037i | −0.00540106 | + | 0.00839970i | ||||
\(681\) | 0.943134 | − | 0.544519i | 0.0361410 | − | 0.0208660i | ||||
\(682\) | 21.0090 | + | 60.7176i | 0.804478 | + | 2.32500i | ||||
\(683\) | 0.131227 | + | 0.489748i | 0.00502128 | + | 0.0187397i | 0.968391 | − | 0.249437i | \(-0.0802456\pi\) |
−0.963370 | + | 0.268177i | \(0.913579\pi\) | |||||||
\(684\) | 30.6618 | + | 3.67114i | 1.17238 | + | 0.140369i | ||||
\(685\) | 11.0374 | + | 11.0374i | 0.421718 | + | 0.421718i | ||||
\(686\) | 20.2436 | + | 16.6191i | 0.772906 | + | 0.634521i | ||||
\(687\) | 0.253676 | 0.00967833 | ||||||||
\(688\) | 6.23881 | − | 0.146478i | 0.237852 | − | 0.00558442i | ||||
\(689\) | 2.65217 | − | 4.59369i | 0.101040 | − | 0.175006i | ||||
\(690\) | 0.239616 | + | 0.116422i | 0.00912202 | + | 0.00443212i | ||||
\(691\) | −12.1903 | + | 45.4948i | −0.463740 | + | 1.73070i | 0.197292 | + | 0.980345i | \(0.436785\pi\) |
−0.661032 | + | 0.750358i | \(0.729881\pi\) | |||||||
\(692\) | 32.8799 | + | 24.6220i | 1.24991 | + | 0.935987i | ||||
\(693\) | −31.9248 | + | 11.9424i | −1.21272 | + | 0.453654i | ||||
\(694\) | 4.08829 | − | 4.71736i | 0.155189 | − | 0.179068i | ||||
\(695\) | 4.22711 | − | 2.44052i | 0.160343 | − | 0.0925744i | ||||
\(696\) | 0.323160 | + | 0.103390i | 0.0122493 | + | 0.00391899i | ||||
\(697\) | −0.0845915 | − | 0.0488389i | −0.00320413 | − | 0.00184991i | ||||
\(698\) | 2.84608 | − | 14.7604i | 0.107726 | − | 0.558689i | ||||
\(699\) | −0.743666 | + | 0.743666i | −0.0281280 | + | 0.0281280i | ||||
\(700\) | −1.25164 | − | 5.14134i | −0.0473074 | − | 0.194324i | ||||
\(701\) | −16.0612 | − | 16.0612i | −0.606622 | − | 0.606622i | 0.335440 | − | 0.942062i | \(-0.391115\pi\) |
−0.942062 | + | 0.335440i | \(0.891115\pi\) | |||||||
\(702\) | −0.413827 | − | 0.611536i | −0.0156189 | − | 0.0230809i | ||||
\(703\) | 21.8786 | − | 37.8949i | 0.825168 | − | 1.42923i | ||||
\(704\) | −21.8824 | − | 26.5289i | −0.824722 | − | 0.999847i | ||||
\(705\) | 0.320447 | + | 0.555030i | 0.0120687 | + | 0.0209036i | ||||
\(706\) | 24.9238 | − | 1.78055i | 0.938021 | − | 0.0670118i | ||||
\(707\) | −39.3025 | − | 6.57009i | −1.47812 | − | 0.247094i | ||||
\(708\) | 0.0690200 | − | 0.00991210i | 0.00259393 | − | 0.000372519i | ||||
\(709\) | −46.0092 | − | 12.3281i | −1.72791 | − | 0.462992i | −0.748210 | − | 0.663462i | \(-0.769086\pi\) |
−0.979700 | + | 0.200470i | \(0.935753\pi\) | |||||||
\(710\) | 5.82355 | − | 2.01502i | 0.218554 | − | 0.0756223i | ||||
\(711\) | −38.8699 | − | 22.4415i | −1.45773 | − | 0.841624i | ||||
\(712\) | 15.1762 | − | 13.7893i | 0.568753 | − | 0.516777i | ||||
\(713\) | 36.3217i | 1.36026i | ||||||||
\(714\) | −0.00177830 | + | 0.0187985i | −6.65512e−5 | + | 0.000703515i | ||||
\(715\) | 4.82814 | − | 4.82814i | 0.180562 | − | 0.180562i | ||||
\(716\) | 0.925193 | − | 7.72733i | 0.0345761 | − | 0.288784i | ||||
\(717\) | 0.438128 | − | 0.117396i | 0.0163622 | − | 0.00438423i | ||||
\(718\) | 11.8350 | + | 5.75026i | 0.441677 | + | 0.214598i | ||||
\(719\) | 11.8436 | + | 20.5137i | 0.441691 | + | 0.765030i | 0.997815 | − | 0.0660685i | \(-0.0210456\pi\) |
−0.556125 | + | 0.831099i | \(0.687712\pi\) | |||||||
\(720\) | −10.5197 | − | 5.74866i | −0.392047 | − | 0.214240i | ||||
\(721\) | 2.91179 | + | 30.1862i | 0.108441 | + | 1.12419i | ||||
\(722\) | −0.760110 | − | 10.6399i | −0.0282884 | − | 0.395976i | ||||
\(723\) | 0.320688 | − | 1.19682i | 0.0119265 | − | 0.0445103i | ||||
\(724\) | −12.7325 | − | 29.7465i | −0.473199 | − | 1.10552i | ||||
\(725\) | 0.566437 | + | 2.11397i | 0.0210370 | + | 0.0785110i | ||||
\(726\) | 0.569219 | + | 0.109756i | 0.0211257 | + | 0.00407343i | ||||
\(727\) | 7.98676i | 0.296213i | 0.988971 | + | 0.148106i | \(0.0473178\pi\) | ||||
−0.988971 | + | 0.148106i | \(0.952682\pi\) | |||||||
\(728\) | −9.99499 | + | 6.43355i | −0.370439 | + | 0.238443i | ||||
\(729\) | 26.8379i | 0.993996i | ||||||||
\(730\) | −1.74303 | + | 9.03975i | −0.0645125 | + | 0.334576i | ||||
\(731\) | −0.0371768 | − | 0.138746i | −0.00137503 | − | 0.00513170i | ||||
\(732\) | −0.154808 | − | 0.0620051i | −0.00572188 | − | 0.00229177i | ||||
\(733\) | −0.215843 | + | 0.805537i | −0.00797234 | + | 0.0297532i | −0.969797 | − | 0.243912i | \(-0.921569\pi\) |
0.961825 | + | 0.273665i | \(0.0882359\pi\) | |||||||
\(734\) | −26.3124 | + | 1.87974i | −0.971207 | + | 0.0693826i | ||||
\(735\) | −0.251820 | − | 0.289486i | −0.00928850 | − | 0.0106779i | ||||
\(736\) | −6.78652 | − | 18.2180i | −0.250154 | − | 0.671525i | ||||
\(737\) | −24.7798 | − | 42.9199i | −0.912776 | − | 1.58097i | ||||
\(738\) | 1.96509 | − | 4.04446i | 0.0723358 | − | 0.148879i | ||||
\(739\) | −9.86852 | + | 2.64426i | −0.363019 | + | 0.0972708i | −0.435718 | − | 0.900083i | \(-0.643506\pi\) |
0.0726987 | + | 0.997354i | \(0.476839\pi\) | |||||||
\(740\) | −13.3541 | + | 10.4983i | −0.490907 | + | 0.385924i | ||||
\(741\) | −0.317175 | + | 0.317175i | −0.0116517 | + | 0.0116517i | ||||
\(742\) | −5.20059 | − | 11.3612i | −0.190920 | − | 0.417082i | ||||
\(743\) | − | 12.4167i | − | 0.455524i | −0.973717 | − | 0.227762i | \(-0.926859\pi\) | ||
0.973717 | − | 0.227762i | \(-0.0731409\pi\) | |||||||
\(744\) | −0.0783627 | + | 1.63662i | −0.00287292 | + | 0.0600015i | ||||
\(745\) | −3.52610 | − | 2.03580i | −0.129186 | − | 0.0745858i | ||||
\(746\) | 5.25942 | + | 15.2001i | 0.192561 | + | 0.556515i | ||||
\(747\) | 11.3259 | + | 3.03476i | 0.414392 | + | 0.111036i | ||||
\(748\) | −0.474460 | + | 0.633590i | −0.0173480 | + | 0.0231663i | ||||
\(749\) | −19.4363 | + | 23.5863i | −0.710185 | + | 0.861823i | ||||
\(750\) | 0.00552366 | + | 0.0773193i | 0.000201695 | + | 0.00282330i | ||||
\(751\) | −10.0207 | − | 17.3563i | −0.365659 | − | 0.633340i | 0.623222 | − | 0.782045i | \(-0.285823\pi\) |
−0.988882 | + | 0.148704i | \(0.952490\pi\) | |||||||
\(752\) | 11.0413 | − | 45.4481i | 0.402633 | − | 1.65732i | ||||
\(753\) | −0.813137 | + | 1.40840i | −0.0296324 | + | 0.0513248i | ||||
\(754\) | 4.07160 | − | 2.75526i | 0.148279 | − | 0.100341i | ||||
\(755\) | 8.15195 | + | 8.15195i | 0.296680 | + | 0.296680i | ||||
\(756\) | −1.73891 | − | 0.0400004i | −0.0632434 | − | 0.00145480i | ||||
\(757\) | 1.24597 | − | 1.24597i | 0.0452855 | − | 0.0452855i | −0.684101 | − | 0.729387i | \(-0.739805\pi\) |
0.729387 | + | 0.684101i | \(0.239805\pi\) | |||||||
\(758\) | −24.9910 | − | 4.81872i | −0.907713 | − | 0.175024i | ||||
\(759\) | 0.701271 | + | 0.404879i | 0.0254545 | + | 0.0146962i | ||||
\(760\) | −4.44035 | + | 13.8789i | −0.161069 | + | 0.503442i | ||||
\(761\) | 26.0542 | − | 15.0424i | 0.944464 | − | 0.545286i | 0.0531069 | − | 0.998589i | \(-0.483088\pi\) |
0.891357 | + | 0.453302i | \(0.149754\pi\) | |||||||
\(762\) | 0.760852 | + | 0.659391i | 0.0275628 | + | 0.0238872i | ||||
\(763\) | −4.52270 | + | 27.0549i | −0.163733 | + | 0.979453i | ||||
\(764\) | −36.9976 | + | 5.31331i | −1.33853 | + | 0.192229i | ||||
\(765\) | −0.0714162 | + | 0.266529i | −0.00258206 | + | 0.00963637i | ||||
\(766\) | −12.1341 | + | 24.9739i | −0.438423 | + | 0.902345i | ||||
\(767\) | 0.505163 | − | 0.874968i | 0.0182404 | − | 0.0315933i | ||||
\(768\) | −0.266490 | − | 0.835528i | −0.00961611 | − | 0.0301495i | ||||
\(769\) | 36.1622 | 1.30404 | 0.652022 | − | 0.758200i | \(-0.273921\pi\) | ||||
0.652022 | + | 0.758200i | \(0.273921\pi\) | |||||||
\(770\) | −2.68122 | − | 15.8591i | −0.0966245 | − | 0.571521i | ||||
\(771\) | −0.274778 | − | 0.274778i | −0.00989590 | − | 0.00989590i | ||||
\(772\) | 15.9145 | + | 20.2437i | 0.572774 | + | 0.728585i | ||||
\(773\) | −7.77245 | − | 29.0072i | −0.279556 | − | 1.04332i | −0.952727 | − | 0.303829i | \(-0.901735\pi\) |
0.673171 | − | 0.739487i | \(-0.264932\pi\) | |||||||
\(774\) | 6.24895 | − | 2.16221i | 0.224614 | − | 0.0777191i | ||||
\(775\) | −9.15278 | + | 5.28436i | −0.328778 | + | 0.189820i | ||||
\(776\) | 20.4401 | − | 4.44124i | 0.733756 | − | 0.159431i | ||||
\(777\) | −0.510586 | + | 1.12089i | −0.0183172 | + | 0.0402115i | ||||
\(778\) | 20.6950 | − | 23.8794i | 0.741952 | − | 0.856117i | ||||
\(779\) | −5.27956 | − | 1.41465i | −0.189160 | − | 0.0506853i | ||||
\(780\) | 0.160081 | − | 0.0685198i | 0.00573181 | − | 0.00245340i | ||||
\(781\) | 18.0928 | − | 4.84794i | 0.647410 | − | 0.173473i | ||||
\(782\) | −0.370600 | + | 0.250786i | −0.0132526 | + | 0.00896807i | ||||
\(783\) | 0.719395 | 0.0257091 | ||||||||
\(784\) | −1.28750 | + | 27.9704i | −0.0459821 | + | 0.998942i | ||||
\(785\) | −14.2781 | −0.509606 | ||||||||
\(786\) | 0.748478 | − | 0.506495i | 0.0266973 | − | 0.0180661i | ||||
\(787\) | −12.2187 | + | 3.27399i | −0.435549 | + | 0.116705i | −0.469930 | − | 0.882704i | \(-0.655721\pi\) |
0.0343807 | + | 0.999409i | \(0.489054\pi\) | |||||||
\(788\) | 8.45234 | + | 19.7470i | 0.301102 | + | 0.703457i | ||||
\(789\) | 0.101102 | + | 0.0270902i | 0.00359933 | + | 0.000964437i | ||||
\(790\) | 13.8708 | − | 16.0051i | 0.493501 | − | 0.569436i | ||||
\(791\) | 19.1101 | − | 41.9522i | 0.679476 | − | 1.49165i | ||||
\(792\) | −30.6495 | − | 19.7078i | −1.08908 | − | 0.700286i | ||||
\(793\) | −2.09260 | + | 1.20816i | −0.0743105 | + | 0.0429032i | ||||
\(794\) | −39.9731 | + | 13.8312i | −1.41859 | + | 0.490850i | ||||
\(795\) | 0.0473743 | + | 0.176803i | 0.00168019 | + | 0.00627057i | ||||
\(796\) | −29.6806 | + | 23.3332i | −1.05200 | + | 0.827025i | ||||
\(797\) | 6.29027 | + | 6.29027i | 0.222813 | + | 0.222813i | 0.809682 | − | 0.586869i | \(-0.199640\pi\) |
−0.586869 | + | 0.809682i | \(0.699640\pi\) | |||||||
\(798\) | 0.176137 | + | 1.04183i | 0.00623518 | + | 0.0368803i | ||||
\(799\) | −1.07652 | −0.0380845 | ||||||||
\(800\) | 3.60344 | − | 4.36064i | 0.127401 | − | 0.154172i | ||||
\(801\) | 10.8636 | − | 18.8164i | 0.383848 | − | 0.664844i | ||||
\(802\) | −8.45599 | + | 17.4038i | −0.298591 | + | 0.614549i | ||||
\(803\) | −7.24265 | + | 27.0299i | −0.255587 | + | 0.953865i | ||||
\(804\) | −0.179664 | − | 1.25104i | −0.00633626 | − | 0.0441207i | ||||
\(805\) | 1.49920 | − | 8.96826i | 0.0528399 | − | 0.316089i | ||||
\(806\) | 17.9410 | + | 15.5485i | 0.631945 | + | 0.547674i | ||||
\(807\) | 0.522178 | − | 0.301480i | 0.0183815 | − | 0.0106126i | ||||
\(808\) | −19.5108 | − | 37.8684i | −0.686387 | − | 1.33220i | ||||
\(809\) | −6.83248 | − | 3.94474i | −0.240217 | − | 0.138690i | 0.375059 | − | 0.927001i | \(-0.377622\pi\) |
−0.615277 | + | 0.788311i | \(0.710956\pi\) | |||||||
\(810\) | −12.4602 | − | 2.40256i | −0.437806 | − | 0.0844172i | ||||
\(811\) | −15.5989 | + | 15.5989i | −0.547750 | + | 0.547750i | −0.925790 | − | 0.378039i | \(-0.876598\pi\) |
0.378039 | + | 0.925790i | \(0.376598\pi\) | |||||||
\(812\) | 0.266323 | − | 11.5776i | 0.00934609 | − | 0.406295i | ||||
\(813\) | 0.404758 | + | 0.404758i | 0.0141955 | + | 0.0141955i | ||||
\(814\) | −42.7620 | + | 28.9371i | −1.49881 | + | 1.01424i | ||||
\(815\) | −6.45593 | + | 11.1820i | −0.226141 | + | 0.391688i | ||||
\(816\) | −0.0172400 | + | 0.0105006i | −0.000603520 | + | 0.000367595i | ||||
\(817\) | −4.01887 | − | 6.96089i | −0.140602 | − | 0.243531i | ||||
\(818\) | 1.91637 | + | 26.8250i | 0.0670042 | + | 0.937915i | ||||
\(819\) | −8.00973 | + | 9.71996i | −0.279883 | + | 0.339643i | ||||
\(820\) | 1.69841 | + | 1.27184i | 0.0593110 | + | 0.0444147i | ||||
\(821\) | −20.8980 | − | 5.59959i | −0.729344 | − | 0.195427i | −0.125007 | − | 0.992156i | \(-0.539895\pi\) |
−0.604337 | + | 0.796729i | \(0.706562\pi\) | |||||||
\(822\) | 0.395651 | + | 1.14346i | 0.0137999 | + | 0.0398827i | ||||
\(823\) | −13.7116 | − | 7.91642i | −0.477958 | − | 0.275949i | 0.241607 | − | 0.970374i | \(-0.422325\pi\) |
−0.719565 | + | 0.694425i | \(0.755659\pi\) | |||||||
\(824\) | −23.9947 | + | 21.8019i | −0.835894 | + | 0.759505i | ||||
\(825\) | 0.235620i | 0.00820322i | ||||||||
\(826\) | −0.990566 | − | 2.16398i | −0.0344662 | − | 0.0752946i | ||||
\(827\) | 5.93170 | − | 5.93170i | 0.206265 | − | 0.206265i | −0.596413 | − | 0.802678i | \(-0.703408\pi\) |
0.802678 | + | 0.596413i | \(0.203408\pi\) | |||||||
\(828\) | −12.7312 | − | 16.1945i | −0.442441 | − | 0.562798i | ||||
\(829\) | −40.9853 | + | 10.9820i | −1.42348 | + | 0.381420i | −0.886716 | − | 0.462314i | \(-0.847019\pi\) |
−0.536762 | + | 0.843734i | \(0.680353\pi\) | |||||||
\(830\) | −2.41800 | + | 4.97662i | −0.0839299 | + | 0.172741i | ||||
\(831\) | 0.457838 | + | 0.792998i | 0.0158822 | + | 0.0275088i | ||||
\(832\) | −11.9039 | − | 4.44655i | −0.412694 | − | 0.154156i | ||||
\(833\) | 0.632602 | − | 0.123189i | 0.0219183 | − | 0.00426824i | ||||
\(834\) | 0.377399 | − | 0.0269612i | 0.0130683 | − | 0.000933591i | ||||
\(835\) | 2.40255 | − | 8.96644i | 0.0831437 | − | 0.310297i | ||||
\(836\) | −16.4688 | + | 41.1176i | −0.569584 | + | 1.42208i | ||||
\(837\) | 0.899147 | + | 3.35566i | 0.0310791 | + | 0.115989i | ||||
\(838\) | −2.34353 | + | 12.1541i | −0.0809561 | + | 0.419856i | ||||
\(839\) | − | 42.7703i | − | 1.47660i | −0.674475 | − | 0.738298i | \(-0.735630\pi\) | ||
0.674475 | − | 0.738298i | \(-0.264370\pi\) | |||||||
\(840\) | 0.0869013 | − | 0.400867i | 0.00299838 | − | 0.0138312i | ||||
\(841\) | − | 24.2103i | − | 0.834837i | ||||||
\(842\) | −22.2603 | − | 4.29219i | −0.767139 | − | 0.147919i | ||||
\(843\) | 0.0468641 | + | 0.174899i | 0.00161409 | + | 0.00602385i | ||||
\(844\) | −0.622091 | + | 0.266275i | −0.0214133 | + | 0.00916557i | ||||
\(845\) | −2.71164 | + | 10.1200i | −0.0932831 | + | 0.348137i | ||||
\(846\) | −3.53136 | − | 49.4315i | −0.121411 | − | 1.69949i | ||||
\(847\) | −1.89978 | − | 19.6948i | −0.0652771 | − | 0.676720i | ||||
\(848\) | 6.40544 | − | 11.7216i | 0.219964 | − | 0.402522i | ||||
\(849\) | 0.320812 | + | 0.555662i | 0.0110102 | + | 0.0190703i | ||||
\(850\) | −0.117114 | − | 0.0569021i | −0.00401697 | − | 0.00195173i | ||||
\(851\) | −28.1945 | + | 7.55470i | −0.966496 | + | 0.258972i | ||||
\(852\) | 0.474292 | + | 0.0567869i | 0.0162490 | + | 0.00194549i | ||||
\(853\) | 23.4706 | − | 23.4706i | 0.803620 | − | 0.803620i | −0.180040 | − | 0.983659i | \(-0.557623\pi\) |
0.983659 | + | 0.180040i | \(0.0576226\pi\) | |||||||
\(854\) | −0.536051 | + | 5.66661i | −0.0183433 | + | 0.193907i | ||||
\(855\) | 15.4404i | 0.528051i | ||||||||
\(856\) | −32.6355 | − | 1.56261i | −1.11546 | − | 0.0534090i | ||||
\(857\) | 33.9101 | + | 19.5780i | 1.15835 | + | 0.668772i | 0.950907 | − | 0.309475i | \(-0.100153\pi\) |
0.207440 | + | 0.978248i | \(0.433487\pi\) | |||||||
\(858\) | 0.500188 | − | 0.173071i | 0.0170761 | − | 0.00590855i | ||||
\(859\) | −7.22813 | − | 1.93677i | −0.246620 | − | 0.0660818i | 0.133391 | − | 0.991063i | \(-0.457413\pi\) |
−0.380012 | + | 0.924982i | \(0.624080\pi\) | |||||||
\(860\) | 0.443557 | + | 3.08858i | 0.0151252 | + | 0.105320i | ||||
\(861\) | 0.151748 | + | 0.0253674i | 0.00517157 | + | 0.000864518i | ||||
\(862\) | 45.6256 | − | 3.25948i | 1.55402 | − | 0.111018i | ||||
\(863\) | 22.2248 | + | 38.4945i | 0.756541 | + | 1.31037i | 0.944605 | + | 0.328210i | \(0.106445\pi\) |
−0.188064 | + | 0.982157i | \(0.560221\pi\) | |||||||
\(864\) | −1.07798 | − | 1.51511i | −0.0366735 | − | 0.0515451i | ||||
\(865\) | −10.2693 | + | 17.7869i | −0.349166 | + | 0.604774i | ||||
\(866\) | 5.88148 | + | 8.69141i | 0.199861 | + | 0.295346i | ||||
\(867\) | −0.658560 | − | 0.658560i | −0.0223659 | − | 0.0223659i | ||||
\(868\) | 54.3374 | − | 13.2282i | 1.84433 | − | 0.448994i | ||||
\(869\) | 45.5213 | − | 45.5213i | 1.54420 | − | 1.54420i | ||||
\(870\) | −0.0321197 | + | 0.166580i | −0.00108896 | + | 0.00564758i | ||||
\(871\) | −15.8594 | − | 9.15645i | −0.537376 | − | 0.310254i | ||||
\(872\) | −26.0677 | + | 13.4308i | −0.882764 | + | 0.454824i | ||||
\(873\) | 19.1943 | − | 11.0818i | 0.649627 | − | 0.375062i | ||||
\(874\) | −16.3992 | + | 18.9225i | −0.554710 | + | 0.640064i | ||||
\(875\) | 2.47804 | − | 0.926984i | 0.0837732 | − | 0.0313378i | ||||
\(876\) | −0.427759 | + | 0.571225i | −0.0144526 | + | 0.0192999i | ||||
\(877\) | −1.60825 | + | 6.00206i | −0.0543066 | + | 0.202675i | −0.987749 | − | 0.156053i | \(-0.950123\pi\) |
0.933442 | + | 0.358728i | \(0.116790\pi\) | |||||||
\(878\) | −42.0657 | − | 20.4385i | −1.41965 | − | 0.689765i | ||||
\(879\) | 0.0128511 | − | 0.0222587i | 0.000433456 | − | 0.000750769i | ||||
\(880\) | 11.8697 | − | 12.4405i | 0.400128 | − | 0.419368i | ||||
\(881\) | −30.0517 | −1.01247 | −0.506233 | − | 0.862397i | \(-0.668962\pi\) | ||||
−0.506233 | + | 0.862397i | \(0.668962\pi\) | |||||||
\(882\) | 7.73172 | + | 28.6436i | 0.260341 | + | 0.964480i | ||||
\(883\) | 32.5829 | + | 32.5829i | 1.09650 | + | 1.09650i | 0.994816 | + | 0.101687i | \(0.0324240\pi\) |
0.101687 | + | 0.994816i | \(0.467576\pi\) | |||||||
\(884\) | −0.0347711 | + | 0.290413i | −0.00116948 | + | 0.00976764i | ||||
\(885\) | 0.00902348 | + | 0.0336761i | 0.000303321 | + | 0.00113201i | ||||
\(886\) | −4.81275 | − | 13.9092i | −0.161688 | − | 0.467289i | ||||
\(887\) | −40.3459 | + | 23.2937i | −1.35468 | + | 0.782127i | −0.988901 | − | 0.148573i | \(-0.952532\pi\) |
−0.365782 | + | 0.930700i | \(0.619199\pi\) | |||||||
\(888\) | −1.28672 | + | 0.279579i | −0.0431794 | + | 0.00938206i | ||||
\(889\) | 14.2454 | − | 31.2727i | 0.477774 | − | 1.04885i | ||||
\(890\) | 7.74786 | + | 6.71466i | 0.259709 | + | 0.225076i | ||||
\(891\) | −37.2574 | − | 9.98310i | −1.24817 | − | 0.334446i | ||||
\(892\) | 8.29942 | − | 20.7212i | 0.277885 | − | 0.693796i | ||||
\(893\) | −58.1868 | + | 15.5911i | −1.94715 | + | 0.521736i | ||||
\(894\) | −0.176883 | − | 0.261391i | −0.00591586 | − | 0.00874222i | ||||
\(895\) | 3.89126 | 0.130071 | ||||||||
\(896\) | −24.7826 | + | 16.7876i | −0.827929 | + | 0.560834i | ||||
\(897\) | 0.299216 | 0.00999052 | ||||||||
\(898\) | 14.4211 | + | 21.3109i | 0.481240 | + | 0.711156i | ||||
\(899\) | −22.3420 | + | 5.98652i | −0.745147 | + | 0.199662i | ||||
\(900\) | 2.22865 | − | 5.56427i | 0.0742883 | − | 0.185476i | ||||
\(901\) | −0.296980 | − | 0.0795755i | −0.00989383 | − | 0.00265104i | ||||
\(902\) | 4.87390 | + | 4.22395i | 0.162283 | + | 0.140642i | ||||
\(903\) | 0.131415 | + | 0.184171i | 0.00437323 | + | 0.00612884i | ||||
\(904\) | 48.1589 | − | 10.4640i | 1.60174 | − | 0.348028i | ||||
\(905\) | 14.0110 | − | 8.08923i | 0.465740 | − | 0.268895i | ||||
\(906\) | 0.292217 | + | 0.844528i | 0.00970826 | + | 0.0280576i | ||||
\(907\) | 9.55536 | + | 35.6611i | 0.317280 | + | 1.18411i | 0.921848 | + | 0.387553i | \(0.126679\pi\) |
−0.604567 | + | 0.796554i | \(0.706654\pi\) | |||||||
\(908\) | 4.72396 | − | 39.4551i | 0.156770 | − | 1.30937i | ||||
\(909\) | −31.9173 | − | 31.9173i | −1.05863 | − | 1.05863i | ||||
\(910\) | −3.78807 | − | 4.57964i | −0.125573 | − | 0.151814i | ||||
\(911\) | 46.9894 | 1.55683 | 0.778414 | − | 0.627752i | \(-0.216025\pi\) | ||||
0.778414 | + | 0.627752i | \(0.216025\pi\) | |||||||
\(912\) | −0.779755 | + | 0.817250i | −0.0258203 | + | 0.0270619i | ||||
\(913\) | −8.40900 | + | 14.5648i | −0.278297 | + | 0.482025i | ||||
\(914\) | −12.5282 | − | 6.08709i | −0.414396 | − | 0.201343i | ||||
\(915\) | 0.0215808 | − | 0.0805408i | 0.000713441 | − | 0.00266260i | ||||
\(916\) | 5.54821 | − | 7.40903i | 0.183318 | − | 0.244801i | ||||
\(917\) | −23.8050 | − | 19.6166i | −0.786112 | − | 0.647796i | ||||
\(918\) | −0.0280305 | + | 0.0323436i | −0.000925145 | + | 0.00106750i | ||||
\(919\) | 42.9317 | − | 24.7866i | 1.41619 | − | 0.817635i | 0.420225 | − | 0.907420i | \(-0.361951\pi\) |
0.995961 | + | 0.0897847i | \(0.0286179\pi\) | |||||||
\(920\) | 8.64102 | − | 4.45208i | 0.284886 | − | 0.146781i | ||||
\(921\) | −0.0419015 | − | 0.0241919i | −0.00138070 | − | 0.000797149i | ||||
\(922\) | −7.82563 | + | 40.5854i | −0.257723 | + | 1.33661i | ||||
\(923\) | 4.89413 | − | 4.89413i | 0.161092 | − | 0.161092i | ||||
\(924\) | 0.350301 | − | 1.19656i | 0.0115241 | − | 0.0393639i | ||||
\(925\) | −6.00568 | − | 6.00568i | −0.197466 | − | 0.197466i | ||||
\(926\) | −4.05910 | − | 5.99837i | −0.133390 | − | 0.197119i | ||||
\(927\) | −17.1762 | + | 29.7500i | −0.564139 | + | 0.977118i | ||||
\(928\) | 10.0876 | − | 7.17716i | 0.331142 | − | 0.235602i | ||||
\(929\) | −21.7215 | − | 37.6228i | −0.712661 | − | 1.23436i | −0.963855 | − | 0.266428i | \(-0.914157\pi\) |
0.251194 | − | 0.967937i | \(-0.419177\pi\) | |||||||
\(930\) | −0.817166 | + | 0.0583780i | −0.0267959 | + | 0.00191429i | ||||
\(931\) | 32.4085 | − | 15.8203i | 1.06215 | − | 0.518491i | ||||
\(932\) | 5.45509 | + | 37.9849i | 0.178688 | + | 1.24424i | ||||
\(933\) | 0.777272 | + | 0.208269i | 0.0254467 | + | 0.00681843i | ||||
\(934\) | 20.8200 | − | 7.20396i | 0.681250 | − | 0.235721i | ||||
\(935\) | −0.342751 | − | 0.197887i | −0.0112091 | − | 0.00647160i | ||||
\(936\) | −13.4492 | − | 0.643957i | −0.439600 | − | 0.0210484i | ||||
\(937\) | − | 22.8109i | − | 0.745198i | −0.927992 | − | 0.372599i | \(-0.878467\pi\) | ||
0.927992 | − | 0.372599i | \(-0.121533\pi\) | |||||||
\(938\) | −39.2238 | + | 17.9547i | −1.28070 | + | 0.586243i | ||||
\(939\) | −0.0192347 | + | 0.0192347i | −0.000627699 | + | 0.000627699i | ||||
\(940\) | 23.2192 | + | 2.78003i | 0.757326 | + | 0.0906746i | ||||
\(941\) | 35.7598 | − | 9.58181i | 1.16574 | − | 0.312358i | 0.376482 | − | 0.926424i | \(-0.377134\pi\) |
0.789255 | + | 0.614066i | \(0.210467\pi\) | |||||||
\(942\) | −0.995500 | − | 0.483684i | −0.0324351 | − | 0.0157593i | ||||
\(943\) | 1.82304 | + | 3.15759i | 0.0593662 | + | 0.102825i | ||||
\(944\) | 1.22006 | − | 2.23264i | 0.0397094 | − | 0.0726661i | ||||
\(945\) | −0.0835029 | − | 0.865665i | −0.00271635 | − | 0.0281601i | ||||
\(946\) | 0.675838 | + | 9.46028i | 0.0219734 | + | 0.307580i | ||||
\(947\) | 10.4007 | − | 38.8161i | 0.337979 | − | 1.26135i | −0.562625 | − | 0.826712i | \(-0.690208\pi\) |
0.900604 | − | 0.434642i | \(-0.143125\pi\) | |||||||
\(948\) | 1.50929 | − | 0.646026i | 0.0490196 | − | 0.0209820i | ||||
\(949\) | 2.67625 | + | 9.98790i | 0.0868747 | + | 0.324221i | ||||
\(950\) | −7.15420 | − | 1.37946i | −0.232113 | − | 0.0447557i | ||||
\(951\) | − | 1.87144i | − | 0.0606856i | ||||||
\(952\) | 0.510147 | + | 0.463085i | 0.0165340 | + | 0.0150087i | ||||
\(953\) | − | 6.45536i | − | 0.209110i | −0.994519 | − | 0.104555i | \(-0.966658\pi\) | ||
0.994519 | − | 0.104555i | \(-0.0333418\pi\) | |||||||
\(954\) | 2.67974 | − | 13.8977i | 0.0867597 | − | 0.449955i | ||||
\(955\) | −4.83697 | − | 18.0518i | −0.156521 | − | 0.584143i | ||||
\(956\) | 6.15367 | − | 15.3639i | 0.199024 | − | 0.496903i | ||||
\(957\) | −0.133464 | + | 0.498093i | −0.00431427 | + | 0.0161011i | ||||
\(958\) | −11.9185 | + | 0.851455i | −0.385071 | + | 0.0275093i | ||||
\(959\) | 33.6175 | − | 23.9877i | 1.08556 | − | 0.774605i | ||||
\(960\) | 0.398961 | − | 0.181964i | 0.0128764 | − | 0.00587286i | ||||
\(961\) | −40.3489 | − | 69.8864i | −1.30158 | − | 2.25440i | ||||
\(962\) | −8.33784 | + | 17.1606i | −0.268823 | + | 0.553280i | ||||
\(963\) | −33.4405 | + | 8.96035i | −1.07761 | + | 0.288743i | ||||
\(964\) | −27.9414 | − | 35.5423i | −0.899931 | − | 1.14474i | ||||
\(965\) | −9.10409 | + | 9.10409i | −0.293071 | + | 0.293071i | ||||
\(966\) | 0.408337 | − | 0.574500i | 0.0131380 | − | 0.0184842i | ||||
\(967\) | 46.7837i | 1.50446i | 0.658899 | + | 0.752231i | \(0.271022\pi\) | ||||
−0.658899 | + | 0.752231i | \(0.728978\pi\) | |||||||
\(968\) | 15.6552 | − | 14.2245i | 0.503176 | − | 0.457193i | ||||
\(969\) | 0.0225163 | + | 0.0129998i | 0.000723326 | + | 0.000417613i | ||||
\(970\) | 3.41984 | + | 9.88357i | 0.109804 | + | 0.317342i | ||||
\(971\) | 50.8435 | + | 13.6235i | 1.63165 | + | 0.437198i | 0.954394 | − | 0.298551i | \(-0.0965035\pi\) |
0.677253 | + | 0.735750i | \(0.263170\pi\) | |||||||
\(972\) | −2.36604 | − | 1.77180i | −0.0758909 | − | 0.0568305i | ||||
\(973\) | −4.52465 | − | 12.0955i | −0.145054 | − | 0.387762i | ||||
\(974\) | 2.90272 | + | 40.6318i | 0.0930090 | + | 1.30193i | ||||
\(975\) | 0.0435322 | + | 0.0754000i | 0.00139415 | + | 0.00241473i | ||||
\(976\) | −5.19682 | + | 3.16530i | −0.166346 | + | 0.101319i | ||||
\(977\) | −26.4560 | + | 45.8231i | −0.846402 | + | 1.46601i | 0.0379954 | + | 0.999278i | \(0.487903\pi\) |
−0.884398 | + | 0.466734i | \(0.845431\pi\) | |||||||
\(978\) | −0.828923 | + | 0.560933i | −0.0265060 | + | 0.0179367i | ||||
\(979\) | 22.0362 | + | 22.0362i | 0.704281 | + | 0.704281i | ||||
\(980\) | −13.9625 | + | 1.02339i | −0.446017 | + | 0.0326909i | ||||
\(981\) | −21.9712 | + | 21.9712i | −0.701485 | + | 0.701485i | ||||
\(982\) | −33.0206 | − | 6.36699i | −1.05373 | − | 0.203179i | ||||
\(983\) | −14.8638 | − | 8.58161i | −0.474081 | − | 0.273711i | 0.243866 | − | 0.969809i | \(-0.421584\pi\) |
−0.717947 | + | 0.696098i | \(0.754918\pi\) | |||||||
\(984\) | 0.0753319 | + | 0.146211i | 0.00240149 | + | 0.00466104i | ||||
\(985\) | −9.30106 | + | 5.36997i | −0.296356 | + | 0.171101i | ||||
\(986\) | −0.215344 | − | 0.186627i | −0.00685794 | − | 0.00594342i | ||||
\(987\) | 1.58816 | − | 0.594098i | 0.0505518 | − | 0.0189103i | ||||
\(988\) | 2.32661 | + | 16.2006i | 0.0740192 | + | 0.515411i | ||||
\(989\) | −1.38772 | + | 5.17904i | −0.0441269 | + | 0.164684i | ||||
\(990\) | 7.96220 | − | 16.3875i | 0.253055 | − | 0.520829i | ||||
\(991\) | 10.1144 | − | 17.5187i | 0.321296 | − | 0.556501i | −0.659460 | − | 0.751740i | \(-0.729215\pi\) |
0.980756 | + | 0.195239i | \(0.0625483\pi\) | |||||||
\(992\) | 46.0864 | + | 38.0837i | 1.46325 | + | 1.20916i | ||||
\(993\) | 1.68187 | 0.0533726 | ||||||||
\(994\) | −2.71786 | − | 16.0758i | −0.0862054 | − | 0.509893i | ||||
\(995\) | −13.3481 | − | 13.3481i | −0.423164 | − | 0.423164i | ||||
\(996\) | −0.337176 | + | 0.265070i | −0.0106838 | + | 0.00839905i | ||||
\(997\) | −14.2240 | − | 53.0848i | −0.450479 | − | 1.68121i | −0.701049 | − | 0.713113i | \(-0.747285\pi\) |
0.250570 | − | 0.968099i | \(-0.419382\pi\) | |||||||
\(998\) | 2.98378 | − | 1.03243i | 0.0944500 | − | 0.0326809i | ||||
\(999\) | −2.41780 | + | 1.39592i | −0.0764957 | + | 0.0441648i |
(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 | 560.2.cp.a.221.44 | ✓ | 256 | |
7.2 | even | 3 | inner | 560.2.cp.a.541.41 | yes | 256 | |
16.5 | even | 4 | inner | 560.2.cp.a.501.41 | yes | 256 | |
112.37 | even | 12 | inner | 560.2.cp.a.261.44 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
560.2.cp.a.221.44 | ✓ | 256 | 1.1 | even | 1 | trivial | |
560.2.cp.a.261.44 | yes | 256 | 112.37 | even | 12 | inner | |
560.2.cp.a.501.41 | yes | 256 | 16.5 | even | 4 | inner | |
560.2.cp.a.541.41 | yes | 256 | 7.2 | even | 3 | inner |