Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(191,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.191");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.h (of order \(5\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 381.6 | ||
Character | \(\chi\) | \(=\) | 950.381 |
Dual form | 950.2.h.c.571.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | + | 0.951057i | 0.218508 | + | 0.672499i | ||||
\(3\) | −0.334955 | + | 0.243359i | −0.193387 | + | 0.140504i | −0.680265 | − | 0.732966i | \(-0.738135\pi\) |
0.486879 | + | 0.873470i | \(0.338135\pi\) | |||||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | 1.00269 | + | 1.99865i | 0.448419 | + | 0.893824i | ||||
\(6\) | −0.334955 | − | 0.243359i | −0.136745 | − | 0.0993510i | ||||
\(7\) | 2.56738 | 0.970380 | 0.485190 | − | 0.874409i | \(-0.338750\pi\) | ||||
0.485190 | + | 0.874409i | \(0.338750\pi\) | |||||||
\(8\) | −0.809017 | − | 0.587785i | −0.286031 | − | 0.207813i | ||||
\(9\) | −0.874080 | + | 2.69014i | −0.291360 | + | 0.896714i | ||||
\(10\) | −1.59098 | + | 1.57124i | −0.503112 | + | 0.496869i | ||||
\(11\) | −0.979222 | − | 3.01373i | −0.295246 | − | 0.908675i | −0.983139 | − | 0.182862i | \(-0.941464\pi\) |
0.687892 | − | 0.725813i | \(-0.258536\pi\) | |||||||
\(12\) | 0.127942 | − | 0.393764i | 0.0369335 | − | 0.113670i | ||||
\(13\) | −1.26316 | + | 3.88762i | −0.350339 | + | 1.07823i | 0.608325 | + | 0.793688i | \(0.291842\pi\) |
−0.958663 | + | 0.284543i | \(0.908158\pi\) | |||||||
\(14\) | 0.793366 | + | 2.44173i | 0.212036 | + | 0.652579i | ||||
\(15\) | −0.822248 | − | 0.425443i | −0.212304 | − | 0.109849i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 3.24022 | + | 2.35416i | 0.785869 | + | 0.570967i | 0.906735 | − | 0.421702i | \(-0.138567\pi\) |
−0.120866 | + | 0.992669i | \(0.538567\pi\) | |||||||
\(18\) | −2.82858 | −0.666703 | ||||||||
\(19\) | 0.809017 | + | 0.587785i | 0.185601 | + | 0.134847i | ||||
\(20\) | −1.98597 | − | 1.02757i | −0.444077 | − | 0.229772i | ||||
\(21\) | −0.859959 | + | 0.624797i | −0.187658 | + | 0.136342i | ||||
\(22\) | 2.56364 | − | 1.86259i | 0.546569 | − | 0.397106i | ||||
\(23\) | −0.493204 | − | 1.51793i | −0.102840 | − | 0.316510i | 0.886377 | − | 0.462964i | \(-0.153214\pi\) |
−0.989217 | + | 0.146454i | \(0.953214\pi\) | |||||||
\(24\) | 0.414028 | 0.0845130 | ||||||||
\(25\) | −2.98921 | + | 4.00807i | −0.597841 | + | 0.801615i | ||||
\(26\) | −4.08768 | −0.801661 | ||||||||
\(27\) | −0.745718 | − | 2.29508i | −0.143513 | − | 0.441689i | ||||
\(28\) | −2.07706 | + | 1.50907i | −0.392527 | + | 0.285188i | ||||
\(29\) | −0.743148 | + | 0.539929i | −0.137999 | + | 0.100262i | −0.654643 | − | 0.755938i | \(-0.727181\pi\) |
0.516644 | + | 0.856200i | \(0.327181\pi\) | |||||||
\(30\) | 0.150532 | − | 0.913474i | 0.0274833 | − | 0.166777i | ||||
\(31\) | 0.917212 | + | 0.666393i | 0.164736 | + | 0.119688i | 0.667099 | − | 0.744969i | \(-0.267536\pi\) |
−0.502363 | + | 0.864657i | \(0.667536\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 1.06142 | + | 0.771164i | 0.184769 | + | 0.134242i | ||||
\(34\) | −1.23765 | + | 3.80911i | −0.212256 | + | 0.653257i | ||||
\(35\) | 2.57430 | + | 5.13130i | 0.435137 | + | 0.867349i | ||||
\(36\) | −0.874080 | − | 2.69014i | −0.145680 | − | 0.448357i | ||||
\(37\) | 1.16344 | − | 3.58069i | 0.191268 | − | 0.588662i | −0.808732 | − | 0.588177i | \(-0.799846\pi\) |
1.00000 | 0.000484618i | \(-0.000154259\pi\) | ||||||||
\(38\) | −0.309017 | + | 0.951057i | −0.0501292 | + | 0.154282i | ||||
\(39\) | −0.522985 | − | 1.60958i | −0.0837446 | − | 0.257739i | ||||
\(40\) | 0.363580 | − | 2.20631i | 0.0574870 | − | 0.348848i | ||||
\(41\) | −2.32723 | + | 7.16247i | −0.363452 | + | 1.11859i | 0.587493 | + | 0.809229i | \(0.300115\pi\) |
−0.950945 | + | 0.309361i | \(0.899885\pi\) | |||||||
\(42\) | −0.859959 | − | 0.624797i | −0.132695 | − | 0.0964083i | ||||
\(43\) | −0.161292 | −0.0245968 | −0.0122984 | − | 0.999924i | \(-0.503915\pi\) | ||||
−0.0122984 | + | 0.999924i | \(0.503915\pi\) | |||||||
\(44\) | 2.56364 | + | 1.86259i | 0.386483 | + | 0.280796i | ||||
\(45\) | −6.25309 | + | 0.950411i | −0.932155 | + | 0.141679i | ||||
\(46\) | 1.29123 | − | 0.938130i | 0.190381 | − | 0.138320i | ||||
\(47\) | −2.37429 | + | 1.72502i | −0.346326 | + | 0.251620i | −0.747326 | − | 0.664458i | \(-0.768663\pi\) |
0.401000 | + | 0.916078i | \(0.368663\pi\) | |||||||
\(48\) | 0.127942 | + | 0.393764i | 0.0184668 | + | 0.0568349i | ||||
\(49\) | −0.408536 | −0.0583623 | ||||||||
\(50\) | −4.73562 | − | 1.60434i | −0.669718 | − | 0.226888i | ||||
\(51\) | −1.65824 | −0.232199 | ||||||||
\(52\) | −1.26316 | − | 3.88762i | −0.175169 | − | 0.539116i | ||||
\(53\) | 0.101525 | − | 0.0737619i | 0.0139455 | − | 0.0101320i | −0.580791 | − | 0.814053i | \(-0.697257\pi\) |
0.594736 | + | 0.803921i | \(0.297257\pi\) | |||||||
\(54\) | 1.95231 | − | 1.41844i | 0.265676 | − | 0.193025i | ||||
\(55\) | 5.04154 | − | 4.97898i | 0.679801 | − | 0.671365i | ||||
\(56\) | −2.07706 | − | 1.50907i | −0.277559 | − | 0.201658i | ||||
\(57\) | −0.414028 | −0.0548393 | ||||||||
\(58\) | −0.743148 | − | 0.539929i | −0.0975801 | − | 0.0708961i | ||||
\(59\) | 3.22812 | − | 9.93514i | 0.420266 | − | 1.29344i | −0.487190 | − | 0.873296i | \(-0.661978\pi\) |
0.907455 | − | 0.420149i | \(-0.138022\pi\) | |||||||
\(60\) | 0.915282 | − | 0.139114i | 0.118162 | − | 0.0179596i | ||||
\(61\) | 0.717305 | + | 2.20764i | 0.0918415 | + | 0.282659i | 0.986418 | − | 0.164256i | \(-0.0525224\pi\) |
−0.894576 | + | 0.446916i | \(0.852522\pi\) | |||||||
\(62\) | −0.350344 | + | 1.07825i | −0.0444937 | + | 0.136937i | ||||
\(63\) | −2.24410 | + | 6.90663i | −0.282730 | + | 0.870153i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −9.03656 | + | 1.37347i | −1.12085 | + | 0.170358i | ||||
\(66\) | −0.405425 | + | 1.24777i | −0.0499043 | + | 0.153590i | ||||
\(67\) | −3.21348 | − | 2.33473i | −0.392589 | − | 0.285232i | 0.373927 | − | 0.927458i | \(-0.378011\pi\) |
−0.766515 | + | 0.642226i | \(0.778011\pi\) | |||||||
\(68\) | −4.00513 | −0.485694 | ||||||||
\(69\) | 0.534603 | + | 0.388412i | 0.0643586 | + | 0.0467593i | ||||
\(70\) | −4.08466 | + | 4.03397i | −0.488210 | + | 0.482151i | ||||
\(71\) | −3.05720 | + | 2.22118i | −0.362823 | + | 0.263606i | −0.754228 | − | 0.656612i | \(-0.771989\pi\) |
0.391406 | + | 0.920218i | \(0.371989\pi\) | |||||||
\(72\) | 2.28837 | − | 1.66260i | 0.269687 | − | 0.195939i | ||||
\(73\) | 2.39382 | + | 7.36741i | 0.280175 | + | 0.862290i | 0.987804 | + | 0.155705i | \(0.0497651\pi\) |
−0.707629 | + | 0.706585i | \(0.750235\pi\) | |||||||
\(74\) | 3.76496 | 0.437668 | ||||||||
\(75\) | 0.0258488 | − | 2.06998i | 0.00298476 | − | 0.239020i | ||||
\(76\) | −1.00000 | −0.114708 | ||||||||
\(77\) | −2.51404 | − | 7.73742i | −0.286501 | − | 0.881760i | ||||
\(78\) | 1.36919 | − | 0.994776i | 0.155030 | − | 0.112636i | ||||
\(79\) | −8.82153 | + | 6.40922i | −0.992500 | + | 0.721094i | −0.960467 | − | 0.278393i | \(-0.910198\pi\) |
−0.0320329 | + | 0.999487i | \(0.510198\pi\) | |||||||
\(80\) | 2.21068 | − | 0.336003i | 0.247161 | − | 0.0375662i | ||||
\(81\) | −6.05680 | − | 4.40052i | −0.672978 | − | 0.488947i | ||||
\(82\) | −7.53107 | −0.831667 | ||||||||
\(83\) | 1.61950 | + | 1.17664i | 0.177764 | + | 0.129153i | 0.673109 | − | 0.739543i | \(-0.264958\pi\) |
−0.495345 | + | 0.868696i | \(0.664958\pi\) | |||||||
\(84\) | 0.328475 | − | 1.01094i | 0.0358396 | − | 0.110303i | ||||
\(85\) | −1.45619 | + | 8.83657i | −0.157946 | + | 0.958461i | ||||
\(86\) | −0.0498419 | − | 0.153398i | −0.00537459 | − | 0.0165413i | ||||
\(87\) | 0.117525 | − | 0.361704i | 0.0126000 | − | 0.0387787i | ||||
\(88\) | −0.979222 | + | 3.01373i | −0.104385 | + | 0.321265i | ||||
\(89\) | −0.863891 | − | 2.65878i | −0.0915723 | − | 0.281830i | 0.894773 | − | 0.446521i | \(-0.147337\pi\) |
−0.986345 | + | 0.164691i | \(0.947337\pi\) | |||||||
\(90\) | −2.83620 | − | 5.65334i | −0.298962 | − | 0.595915i | ||||
\(91\) | −3.24303 | + | 9.98101i | −0.339962 | + | 1.04629i | ||||
\(92\) | 1.29123 | + | 0.938130i | 0.134620 | + | 0.0978069i | ||||
\(93\) | −0.469398 | −0.0486743 | ||||||||
\(94\) | −2.37429 | − | 1.72502i | −0.244889 | − | 0.177922i | ||||
\(95\) | −0.363580 | + | 2.20631i | −0.0373025 | + | 0.226363i | ||||
\(96\) | −0.334955 | + | 0.243359i | −0.0341862 | + | 0.0248378i | ||||
\(97\) | 0.528946 | − | 0.384302i | 0.0537064 | − | 0.0390200i | −0.560608 | − | 0.828081i | \(-0.689433\pi\) |
0.614315 | + | 0.789061i | \(0.289433\pi\) | |||||||
\(98\) | −0.126244 | − | 0.388541i | −0.0127526 | − | 0.0392485i | ||||
\(99\) | 8.96329 | 0.900844 | ||||||||
\(100\) | 0.0624324 | − | 4.99961i | 0.00624324 | − | 0.499961i | ||||
\(101\) | 17.6716 | 1.75839 | 0.879197 | − | 0.476459i | \(-0.158080\pi\) | ||||
0.879197 | + | 0.476459i | \(0.158080\pi\) | |||||||
\(102\) | −0.512423 | − | 1.57708i | −0.0507374 | − | 0.156154i | ||||
\(103\) | −5.05111 | + | 3.66985i | −0.497701 | + | 0.361601i | −0.808138 | − | 0.588993i | \(-0.799525\pi\) |
0.310437 | + | 0.950594i | \(0.399525\pi\) | |||||||
\(104\) | 3.30701 | − | 2.40268i | 0.324279 | − | 0.235602i | ||||
\(105\) | −2.11103 | − | 1.09228i | −0.206015 | − | 0.106595i | ||||
\(106\) | 0.101525 | + | 0.0737619i | 0.00986094 | + | 0.00716439i | ||||
\(107\) | 9.58868 | 0.926973 | 0.463486 | − | 0.886104i | \(-0.346598\pi\) | ||||
0.463486 | + | 0.886104i | \(0.346598\pi\) | |||||||
\(108\) | 1.95231 | + | 1.41844i | 0.187862 | + | 0.136489i | ||||
\(109\) | −0.630799 | + | 1.94140i | −0.0604195 | + | 0.185952i | −0.976711 | − | 0.214561i | \(-0.931168\pi\) |
0.916291 | + | 0.400513i | \(0.131168\pi\) | |||||||
\(110\) | 6.29321 | + | 3.25620i | 0.600034 | + | 0.310467i | ||||
\(111\) | 0.481695 | + | 1.48250i | 0.0457205 | + | 0.140713i | ||||
\(112\) | 0.793366 | − | 2.44173i | 0.0749660 | − | 0.230722i | ||||
\(113\) | 3.10494 | − | 9.55603i | 0.292088 | − | 0.898956i | −0.692095 | − | 0.721806i | \(-0.743312\pi\) |
0.984184 | − | 0.177150i | \(-0.0566877\pi\) | |||||||
\(114\) | −0.127942 | − | 0.393764i | −0.0119828 | − | 0.0368793i | ||||
\(115\) | 2.53927 | − | 2.50776i | 0.236788 | − | 0.233850i | ||||
\(116\) | 0.283857 | − | 0.873623i | 0.0263555 | − | 0.0811139i | ||||
\(117\) | −9.35413 | − | 6.79618i | −0.864790 | − | 0.628307i | ||||
\(118\) | 10.4464 | 0.961671 | ||||||||
\(119\) | 8.31890 | + | 6.04403i | 0.762592 | + | 0.554055i | ||||
\(120\) | 0.415143 | + | 0.827496i | 0.0378972 | + | 0.0755397i | ||||
\(121\) | 0.775467 | − | 0.563410i | 0.0704970 | − | 0.0512191i | ||||
\(122\) | −1.87793 | + | 1.36440i | −0.170020 | + | 0.123527i | ||||
\(123\) | −0.963536 | − | 2.96546i | −0.0868791 | − | 0.267386i | ||||
\(124\) | −1.13374 | −0.101812 | ||||||||
\(125\) | −11.0080 | − | 1.95550i | −0.984585 | − | 0.174906i | ||||
\(126\) | −7.26206 | −0.646955 | ||||||||
\(127\) | −4.61378 | − | 14.1998i | −0.409407 | − | 1.26002i | −0.917159 | − | 0.398522i | \(-0.869523\pi\) |
0.507752 | − | 0.861503i | \(-0.330477\pi\) | |||||||
\(128\) | −0.809017 | + | 0.587785i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | 0.0540256 | − | 0.0392519i | 0.00475669 | − | 0.00345594i | ||||
\(130\) | −4.09870 | − | 8.16985i | −0.359480 | − | 0.716543i | ||||
\(131\) | 13.7676 | + | 10.0027i | 1.20288 | + | 0.873942i | 0.994565 | − | 0.104120i | \(-0.0332025\pi\) |
0.208314 | + | 0.978062i | \(0.433203\pi\) | |||||||
\(132\) | −1.31198 | −0.114193 | ||||||||
\(133\) | 2.07706 | + | 1.50907i | 0.180104 | + | 0.130853i | ||||
\(134\) | 1.22744 | − | 3.77767i | 0.106035 | − | 0.326341i | ||||
\(135\) | 3.83934 | − | 3.79170i | 0.330438 | − | 0.326337i | ||||
\(136\) | −1.23765 | − | 3.80911i | −0.106128 | − | 0.326628i | ||||
\(137\) | 6.66014 | − | 20.4978i | 0.569015 | − | 1.75125i | −0.0866964 | − | 0.996235i | \(-0.527631\pi\) |
0.655711 | − | 0.755012i | \(-0.272369\pi\) | |||||||
\(138\) | −0.204200 | + | 0.628464i | −0.0173827 | + | 0.0534984i | ||||
\(139\) | 5.12118 | + | 15.7614i | 0.434373 | + | 1.33686i | 0.893728 | + | 0.448610i | \(0.148081\pi\) |
−0.459355 | + | 0.888253i | \(0.651919\pi\) | |||||||
\(140\) | −5.09876 | − | 2.63817i | −0.430924 | − | 0.222966i | ||||
\(141\) | 0.375481 | − | 1.15561i | 0.0316212 | − | 0.0973200i | ||||
\(142\) | −3.05720 | − | 2.22118i | −0.256554 | − | 0.186398i | ||||
\(143\) | 12.9532 | 1.08320 | ||||||||
\(144\) | 2.28837 | + | 1.66260i | 0.190698 | + | 0.138550i | ||||
\(145\) | −1.82428 | − | 0.943909i | −0.151498 | − | 0.0783874i | ||||
\(146\) | −6.26709 | + | 4.55331i | −0.518668 | + | 0.376835i | ||||
\(147\) | 0.136841 | − | 0.0994210i | 0.0112865 | − | 0.00820010i | ||||
\(148\) | 1.16344 | + | 3.58069i | 0.0956339 | + | 0.294331i | ||||
\(149\) | 18.4931 | 1.51502 | 0.757509 | − | 0.652825i | \(-0.226416\pi\) | ||||
0.757509 | + | 0.652825i | \(0.226416\pi\) | |||||||
\(150\) | 1.97665 | − | 0.615074i | 0.161393 | − | 0.0502206i | ||||
\(151\) | 15.2688 | 1.24256 | 0.621278 | − | 0.783590i | \(-0.286614\pi\) | ||||
0.621278 | + | 0.783590i | \(0.286614\pi\) | |||||||
\(152\) | −0.309017 | − | 0.951057i | −0.0250646 | − | 0.0771409i | ||||
\(153\) | −9.16523 | + | 6.65893i | −0.740965 | + | 0.538343i | ||||
\(154\) | 6.58184 | − | 4.78199i | 0.530380 | − | 0.385343i | ||||
\(155\) | −0.412204 | + | 2.50137i | −0.0331090 | + | 0.200915i | ||||
\(156\) | 1.36919 | + | 0.994776i | 0.109623 | + | 0.0796458i | ||||
\(157\) | 9.76754 | 0.779534 | 0.389767 | − | 0.920913i | \(-0.372556\pi\) | ||||
0.389767 | + | 0.920913i | \(0.372556\pi\) | |||||||
\(158\) | −8.82153 | − | 6.40922i | −0.701804 | − | 0.509890i | ||||
\(159\) | −0.0160555 | + | 0.0494139i | −0.00127329 | + | 0.00391878i | ||||
\(160\) | 1.00269 | + | 1.99865i | 0.0792700 | + | 0.158007i | ||||
\(161\) | −1.26625 | − | 3.89710i | −0.0997941 | − | 0.307135i | ||||
\(162\) | 2.31349 | − | 7.12019i | 0.181765 | − | 0.559415i | ||||
\(163\) | 5.62836 | − | 17.3223i | 0.440847 | − | 1.35679i | −0.446127 | − | 0.894969i | \(-0.647197\pi\) |
0.886974 | − | 0.461818i | \(-0.152803\pi\) | |||||||
\(164\) | −2.32723 | − | 7.16247i | −0.181726 | − | 0.559295i | ||||
\(165\) | −0.477010 | + | 2.89464i | −0.0371352 | + | 0.225347i | ||||
\(166\) | −0.618595 | + | 1.90384i | −0.0480123 | + | 0.147767i | ||||
\(167\) | 10.0378 | + | 7.29291i | 0.776751 | + | 0.564343i | 0.904002 | − | 0.427528i | \(-0.140615\pi\) |
−0.127251 | + | 0.991871i | \(0.540615\pi\) | |||||||
\(168\) | 1.06297 | 0.0820098 | ||||||||
\(169\) | −3.00077 | − | 2.18019i | −0.230828 | − | 0.167707i | ||||
\(170\) | −8.85407 | + | 1.34574i | −0.679076 | + | 0.103213i | ||||
\(171\) | −2.28837 | + | 1.66260i | −0.174996 | + | 0.127142i | ||||
\(172\) | 0.130488 | − | 0.0948050i | 0.00994961 | − | 0.00722881i | ||||
\(173\) | −1.14260 | − | 3.51657i | −0.0868705 | − | 0.267360i | 0.898179 | − | 0.439629i | \(-0.144890\pi\) |
−0.985050 | + | 0.172269i | \(0.944890\pi\) | |||||||
\(174\) | 0.380318 | 0.0288318 | ||||||||
\(175\) | −7.67444 | + | 10.2903i | −0.580133 | + | 0.777871i | ||||
\(176\) | −3.16883 | −0.238859 | ||||||||
\(177\) | 1.33653 | + | 4.11342i | 0.100460 | + | 0.309184i | ||||
\(178\) | 2.26170 | − | 1.64322i | 0.169521 | − | 0.123164i | ||||
\(179\) | 5.69299 | − | 4.13620i | 0.425514 | − | 0.309154i | −0.354339 | − | 0.935117i | \(-0.615294\pi\) |
0.779853 | + | 0.625963i | \(0.215294\pi\) | |||||||
\(180\) | 4.50022 | − | 4.44437i | 0.335426 | − | 0.331264i | ||||
\(181\) | 11.6457 | + | 8.46113i | 0.865621 | + | 0.628911i | 0.929408 | − | 0.369053i | \(-0.120318\pi\) |
−0.0637872 | + | 0.997964i | \(0.520318\pi\) | |||||||
\(182\) | −10.4947 | −0.777916 | ||||||||
\(183\) | −0.777515 | − | 0.564897i | −0.0574755 | − | 0.0417584i | ||||
\(184\) | −0.493204 | + | 1.51793i | −0.0363595 | + | 0.111903i | ||||
\(185\) | 8.32312 | − | 1.26504i | 0.611928 | − | 0.0930073i | ||||
\(186\) | −0.145052 | − | 0.446424i | −0.0106357 | − | 0.0327334i | ||||
\(187\) | 3.92191 | − | 12.0704i | 0.286799 | − | 0.882676i | ||||
\(188\) | 0.906898 | − | 2.79115i | 0.0661423 | − | 0.203565i | ||||
\(189\) | −1.91454 | − | 5.89236i | −0.139263 | − | 0.428606i | ||||
\(190\) | −2.21068 | + | 0.336003i | −0.160380 | + | 0.0243762i | ||||
\(191\) | −2.78818 | + | 8.58114i | −0.201746 | + | 0.620910i | 0.798086 | + | 0.602544i | \(0.205846\pi\) |
−0.999831 | + | 0.0183656i | \(0.994154\pi\) | |||||||
\(192\) | −0.334955 | − | 0.243359i | −0.0241733 | − | 0.0175629i | ||||
\(193\) | −25.7439 | −1.85309 | −0.926545 | − | 0.376185i | \(-0.877236\pi\) | ||||
−0.926545 | + | 0.376185i | \(0.877236\pi\) | |||||||
\(194\) | 0.528946 | + | 0.384302i | 0.0379761 | + | 0.0275913i | ||||
\(195\) | 2.69260 | − | 2.65918i | 0.192821 | − | 0.190428i | ||||
\(196\) | 0.330512 | − | 0.240131i | 0.0236080 | − | 0.0171522i | ||||
\(197\) | 11.6011 | − | 8.42869i | 0.826544 | − | 0.600520i | −0.0920353 | − | 0.995756i | \(-0.529337\pi\) |
0.918580 | + | 0.395236i | \(0.129337\pi\) | |||||||
\(198\) | 2.76981 | + | 8.52459i | 0.196842 | + | 0.605816i | ||||
\(199\) | 17.1597 | 1.21642 | 0.608210 | − | 0.793776i | \(-0.291888\pi\) | ||||
0.608210 | + | 0.793776i | \(0.291888\pi\) | |||||||
\(200\) | 4.77420 | − | 1.48559i | 0.337587 | − | 0.105047i | ||||
\(201\) | 1.64455 | 0.115998 | ||||||||
\(202\) | 5.46083 | + | 16.8067i | 0.384223 | + | 1.18252i | ||||
\(203\) | −1.90795 | + | 1.38620i | −0.133912 | + | 0.0972925i | ||||
\(204\) | 1.34154 | − | 0.974687i | 0.0939267 | − | 0.0682417i | ||||
\(205\) | −16.6488 | + | 2.53046i | −1.16280 | + | 0.176735i | ||||
\(206\) | −5.05111 | − | 3.66985i | −0.351928 | − | 0.255690i | ||||
\(207\) | 4.51454 | 0.313782 | ||||||||
\(208\) | 3.30701 | + | 2.40268i | 0.229300 | + | 0.166596i | ||||
\(209\) | 0.979222 | − | 3.01373i | 0.0677342 | − | 0.208464i | ||||
\(210\) | 0.386474 | − | 2.34524i | 0.0266692 | − | 0.161837i | ||||
\(211\) | 1.30313 | + | 4.01064i | 0.0897115 | + | 0.276104i | 0.985839 | − | 0.167692i | \(-0.0536315\pi\) |
−0.896128 | + | 0.443796i | \(0.853632\pi\) | |||||||
\(212\) | −0.0387789 | + | 0.119349i | −0.00266335 | + | 0.00819694i | ||||
\(213\) | 0.483479 | − | 1.48800i | 0.0331274 | − | 0.101956i | ||||
\(214\) | 2.96307 | + | 9.11938i | 0.202551 | + | 0.623388i | ||||
\(215\) | −0.161727 | − | 0.322366i | −0.0110297 | − | 0.0219852i | ||||
\(216\) | −0.745718 | + | 2.29508i | −0.0507397 | + | 0.156161i | ||||
\(217\) | 2.35484 | + | 1.71089i | 0.159857 | + | 0.116143i | ||||
\(218\) | −2.04131 | −0.138255 | ||||||||
\(219\) | −2.59475 | − | 1.88520i | −0.175337 | − | 0.127390i | ||||
\(220\) | −1.15212 | + | 6.99142i | −0.0776761 | + | 0.471361i | ||||
\(221\) | −13.2450 | + | 9.62306i | −0.890955 | + | 0.647317i | ||||
\(222\) | −1.26109 | + | 0.916238i | −0.0846391 | + | 0.0614939i | ||||
\(223\) | −2.65373 | − | 8.16734i | −0.177707 | − | 0.546926i | 0.822040 | − | 0.569430i | \(-0.192836\pi\) |
−0.999747 | + | 0.0225043i | \(0.992836\pi\) | |||||||
\(224\) | 2.56738 | 0.171541 | ||||||||
\(225\) | −8.16947 | − | 11.5448i | −0.544632 | − | 0.769651i | ||||
\(226\) | 10.0478 | 0.668370 | ||||||||
\(227\) | −7.46410 | − | 22.9721i | −0.495410 | − | 1.52471i | −0.816317 | − | 0.577604i | \(-0.803988\pi\) |
0.320907 | − | 0.947111i | \(-0.396012\pi\) | |||||||
\(228\) | 0.334955 | − | 0.243359i | 0.0221830 | − | 0.0161169i | ||||
\(229\) | −17.9662 | + | 13.0532i | −1.18724 | + | 0.862582i | −0.992970 | − | 0.118366i | \(-0.962234\pi\) |
−0.194272 | + | 0.980948i | \(0.562234\pi\) | |||||||
\(230\) | 3.16970 | + | 1.64005i | 0.209004 | + | 0.108142i | ||||
\(231\) | 2.72506 | + | 1.97987i | 0.179296 | + | 0.130266i | ||||
\(232\) | 0.918582 | 0.0603078 | ||||||||
\(233\) | −7.99380 | − | 5.80784i | −0.523691 | − | 0.380484i | 0.294301 | − | 0.955713i | \(-0.404913\pi\) |
−0.817993 | + | 0.575229i | \(0.804913\pi\) | |||||||
\(234\) | 3.57296 | − | 10.9964i | 0.233572 | − | 0.718860i | ||||
\(235\) | −5.82841 | − | 3.01570i | −0.380203 | − | 0.196723i | ||||
\(236\) | 3.22812 | + | 9.93514i | 0.210133 | + | 0.646722i | ||||
\(237\) | 1.39508 | − | 4.29360i | 0.0906200 | − | 0.278900i | ||||
\(238\) | −3.17754 | + | 9.77945i | −0.205969 | + | 0.633907i | ||||
\(239\) | 7.93619 | + | 24.4251i | 0.513350 | + | 1.57993i | 0.786265 | + | 0.617889i | \(0.212012\pi\) |
−0.272915 | + | 0.962038i | \(0.587988\pi\) | |||||||
\(240\) | −0.658709 | + | 0.650535i | −0.0425195 | + | 0.0419919i | ||||
\(241\) | 2.77005 | − | 8.52533i | 0.178434 | − | 0.549165i | −0.821339 | − | 0.570440i | \(-0.806773\pi\) |
0.999774 | + | 0.0212754i | \(0.00677270\pi\) | |||||||
\(242\) | 0.775467 | + | 0.563410i | 0.0498489 | + | 0.0362173i | ||||
\(243\) | 10.3392 | 0.663263 | ||||||||
\(244\) | −1.87793 | − | 1.36440i | −0.120222 | − | 0.0873465i | ||||
\(245\) | −0.409637 | − | 0.816520i | −0.0261707 | − | 0.0521656i | ||||
\(246\) | 2.52257 | − | 1.83275i | 0.160833 | − | 0.116852i | ||||
\(247\) | −3.30701 | + | 2.40268i | −0.210420 | + | 0.152879i | ||||
\(248\) | −0.350344 | − | 1.07825i | −0.0222468 | − | 0.0684687i | ||||
\(249\) | −0.828807 | −0.0525235 | ||||||||
\(250\) | −1.54186 | − | 11.0735i | −0.0975160 | − | 0.700350i | ||||
\(251\) | 16.8080 | 1.06091 | 0.530455 | − | 0.847713i | \(-0.322021\pi\) | ||||
0.530455 | + | 0.847713i | \(0.322021\pi\) | |||||||
\(252\) | −2.24410 | − | 6.90663i | −0.141365 | − | 0.435077i | ||||
\(253\) | −4.09167 | + | 2.97277i | −0.257241 | + | 0.186897i | ||||
\(254\) | 12.0790 | − | 8.77593i | 0.757906 | − | 0.550651i | ||||
\(255\) | −1.66270 | − | 3.31423i | −0.104123 | − | 0.207545i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 16.4255 | 1.02459 | 0.512296 | − | 0.858809i | \(-0.328795\pi\) | ||||
0.512296 | + | 0.858809i | \(0.328795\pi\) | |||||||
\(258\) | 0.0540256 | + | 0.0392519i | 0.00336349 | + | 0.00244372i | ||||
\(259\) | 2.98699 | − | 9.19301i | 0.185603 | − | 0.571226i | ||||
\(260\) | 6.50342 | − | 6.42272i | 0.403325 | − | 0.398320i | ||||
\(261\) | −0.802913 | − | 2.47111i | −0.0496991 | − | 0.152958i | ||||
\(262\) | −5.25874 | + | 16.1848i | −0.324886 | + | 0.999897i | ||||
\(263\) | 1.27154 | − | 3.91341i | 0.0784067 | − | 0.241311i | −0.904169 | − | 0.427176i | \(-0.859509\pi\) |
0.982575 | + | 0.185865i | \(0.0595086\pi\) | |||||||
\(264\) | −0.405425 | − | 1.24777i | −0.0249522 | − | 0.0767949i | ||||
\(265\) | 0.249222 | + | 0.128951i | 0.0153096 | + | 0.00792142i | ||||
\(266\) | −0.793366 | + | 2.44173i | −0.0486444 | + | 0.149712i | ||||
\(267\) | 0.936405 | + | 0.680338i | 0.0573070 | + | 0.0416360i | ||||
\(268\) | 3.97208 | 0.242633 | ||||||||
\(269\) | −12.0576 | − | 8.76034i | −0.735163 | − | 0.534127i | 0.156030 | − | 0.987752i | \(-0.450130\pi\) |
−0.891193 | + | 0.453625i | \(0.850130\pi\) | |||||||
\(270\) | 4.79254 | + | 2.47973i | 0.291665 | + | 0.150912i | ||||
\(271\) | −13.2088 | + | 9.59679i | −0.802380 | + | 0.582963i | −0.911611 | − | 0.411053i | \(-0.865161\pi\) |
0.109231 | + | 0.994016i | \(0.465161\pi\) | |||||||
\(272\) | 3.24022 | − | 2.35416i | 0.196467 | − | 0.142742i | ||||
\(273\) | −1.34270 | − | 4.13241i | −0.0812641 | − | 0.250105i | ||||
\(274\) | 21.5527 | 1.30205 | ||||||||
\(275\) | 15.0064 | + | 5.08388i | 0.904918 | + | 0.306570i | ||||
\(276\) | −0.660806 | −0.0397758 | ||||||||
\(277\) | 0.623167 | + | 1.91791i | 0.0374424 | + | 0.115236i | 0.968031 | − | 0.250831i | \(-0.0807040\pi\) |
−0.930588 | + | 0.366067i | \(0.880704\pi\) | |||||||
\(278\) | −13.4074 | + | 9.74107i | −0.804124 | + | 0.584230i | ||||
\(279\) | −2.59441 | + | 1.88495i | −0.155323 | + | 0.112849i | ||||
\(280\) | 0.933450 | − | 5.66445i | 0.0557843 | − | 0.338516i | ||||
\(281\) | −2.33922 | − | 1.69954i | −0.139546 | − | 0.101386i | 0.515822 | − | 0.856696i | \(-0.327487\pi\) |
−0.655368 | + | 0.755310i | \(0.727487\pi\) | |||||||
\(282\) | 1.21508 | 0.0723570 | ||||||||
\(283\) | 5.54088 | + | 4.02569i | 0.329371 | + | 0.239302i | 0.740164 | − | 0.672427i | \(-0.234748\pi\) |
−0.410792 | + | 0.911729i | \(0.634748\pi\) | |||||||
\(284\) | 1.16775 | − | 3.59395i | 0.0692930 | − | 0.213262i | ||||
\(285\) | −0.415143 | − | 0.827496i | −0.0245910 | − | 0.0490166i | ||||
\(286\) | 4.00275 | + | 12.3192i | 0.236687 | + | 0.728449i | ||||
\(287\) | −5.97489 | + | 18.3888i | −0.352686 | + | 1.08546i | ||||
\(288\) | −0.874080 | + | 2.69014i | −0.0515056 | + | 0.158518i | ||||
\(289\) | −0.296317 | − | 0.911969i | −0.0174304 | − | 0.0536452i | ||||
\(290\) | 0.333978 | − | 2.02668i | 0.0196119 | − | 0.119011i | ||||
\(291\) | −0.0836499 | + | 0.257448i | −0.00490365 | + | 0.0150919i | ||||
\(292\) | −6.26709 | − | 4.55331i | −0.366754 | − | 0.266462i | ||||
\(293\) | 5.69484 | 0.332696 | 0.166348 | − | 0.986067i | \(-0.446803\pi\) | ||||
0.166348 | + | 0.986067i | \(0.446803\pi\) | |||||||
\(294\) | 0.136841 | + | 0.0994210i | 0.00798074 | + | 0.00579835i | ||||
\(295\) | 23.0937 | − | 3.51003i | 1.34457 | − | 0.204362i | ||||
\(296\) | −3.04592 | + | 2.21299i | −0.177040 | + | 0.128627i | ||||
\(297\) | −6.18655 | + | 4.49479i | −0.358980 | + | 0.260814i | ||||
\(298\) | 5.71470 | + | 17.5880i | 0.331043 | + | 1.01885i | ||||
\(299\) | 6.52412 | 0.377299 | ||||||||
\(300\) | 1.19579 | + | 1.68984i | 0.0690389 | + | 0.0975629i | ||||
\(301\) | −0.414098 | −0.0238682 | ||||||||
\(302\) | 4.71831 | + | 14.5215i | 0.271508 | + | 0.835617i | ||||
\(303\) | −5.91921 | + | 4.30056i | −0.340050 | + | 0.247060i | ||||
\(304\) | 0.809017 | − | 0.587785i | 0.0464003 | − | 0.0337118i | ||||
\(305\) | −3.69306 | + | 3.64723i | −0.211464 | + | 0.208840i | ||||
\(306\) | −9.16523 | − | 6.65893i | −0.523941 | − | 0.380666i | ||||
\(307\) | −4.19254 | −0.239281 | −0.119640 | − | 0.992817i | \(-0.538174\pi\) | ||||
−0.119640 | + | 0.992817i | \(0.538174\pi\) | |||||||
\(308\) | 6.58184 | + | 4.78199i | 0.375035 | + | 0.272479i | ||||
\(309\) | 0.798805 | − | 2.45847i | 0.0454425 | − | 0.139857i | ||||
\(310\) | −2.50633 | + | 0.380938i | −0.142350 | + | 0.0216358i | ||||
\(311\) | −7.08472 | − | 21.8045i | −0.401737 | − | 1.23642i | −0.923589 | − | 0.383384i | \(-0.874759\pi\) |
0.521852 | − | 0.853036i | \(-0.325241\pi\) | |||||||
\(312\) | −0.522985 | + | 1.60958i | −0.0296082 | + | 0.0911246i | ||||
\(313\) | −3.59366 | + | 11.0602i | −0.203126 | + | 0.625157i | 0.796659 | + | 0.604429i | \(0.206599\pi\) |
−0.999785 | + | 0.0207285i | \(0.993401\pi\) | |||||||
\(314\) | 3.01833 | + | 9.28948i | 0.170334 | + | 0.524236i | ||||
\(315\) | −16.0541 | + | 2.44007i | −0.904545 | + | 0.137482i | ||||
\(316\) | 3.36953 | − | 10.3703i | 0.189551 | − | 0.583377i | ||||
\(317\) | 3.95730 | + | 2.87515i | 0.222264 | + | 0.161484i | 0.693345 | − | 0.720606i | \(-0.256136\pi\) |
−0.471081 | + | 0.882090i | \(0.656136\pi\) | |||||||
\(318\) | −0.0519568 | −0.00291359 | ||||||||
\(319\) | 2.35491 | + | 1.71094i | 0.131850 | + | 0.0957943i | ||||
\(320\) | −1.59098 | + | 1.57124i | −0.0889385 | + | 0.0878348i | ||||
\(321\) | −3.21178 | + | 2.33349i | −0.179264 | + | 0.130243i | ||||
\(322\) | 3.31507 | − | 2.40854i | 0.184742 | − | 0.134223i | ||||
\(323\) | 1.23765 | + | 3.80911i | 0.0688649 | + | 0.211944i | ||||
\(324\) | 7.48662 | 0.415923 | ||||||||
\(325\) | −11.8060 | − | 16.6837i | −0.654879 | − | 0.925448i | ||||
\(326\) | 18.2138 | 1.00877 | ||||||||
\(327\) | −0.261168 | − | 0.803792i | −0.0144426 | − | 0.0444498i | ||||
\(328\) | 6.09276 | − | 4.42665i | 0.336416 | − | 0.244421i | ||||
\(329\) | −6.09572 | + | 4.42880i | −0.336068 | + | 0.244167i | ||||
\(330\) | −2.90037 | + | 0.440829i | −0.159660 | + | 0.0242669i | ||||
\(331\) | 22.8686 | + | 16.6150i | 1.25697 | + | 0.913243i | 0.998605 | − | 0.0528036i | \(-0.0168157\pi\) |
0.258367 | + | 0.966047i | \(0.416816\pi\) | |||||||
\(332\) | −2.00182 | −0.109864 | ||||||||
\(333\) | 8.61562 | + | 6.25962i | 0.472133 | + | 0.343025i | ||||
\(334\) | −3.83411 | + | 11.8002i | −0.209793 | + | 0.645677i | ||||
\(335\) | 1.44417 | − | 8.76363i | 0.0789033 | − | 0.478808i | ||||
\(336\) | 0.328475 | + | 1.01094i | 0.0179198 | + | 0.0551514i | ||||
\(337\) | 1.31759 | − | 4.05511i | 0.0717734 | − | 0.220896i | −0.908735 | − | 0.417374i | \(-0.862950\pi\) |
0.980508 | + | 0.196478i | \(0.0629505\pi\) | |||||||
\(338\) | 1.14619 | − | 3.52762i | 0.0623446 | − | 0.191877i | ||||
\(339\) | 1.28553 | + | 3.95646i | 0.0698205 | + | 0.214885i | ||||
\(340\) | −4.01593 | − | 8.00486i | −0.217794 | − | 0.434125i | ||||
\(341\) | 1.11018 | − | 3.41678i | 0.0601196 | − | 0.185029i | ||||
\(342\) | −2.28837 | − | 1.66260i | −0.123741 | − | 0.0899030i | ||||
\(343\) | −19.0206 | −1.02701 | ||||||||
\(344\) | 0.130488 | + | 0.0948050i | 0.00703544 | + | 0.00511154i | ||||
\(345\) | −0.240256 | + | 1.45794i | −0.0129349 | + | 0.0784930i | ||||
\(346\) | 2.99137 | − | 2.17336i | 0.160817 | − | 0.116841i | ||||
\(347\) | 17.5562 | − | 12.7553i | 0.942464 | − | 0.684740i | −0.00654878 | − | 0.999979i | \(-0.502085\pi\) |
0.949012 | + | 0.315239i | \(0.102085\pi\) | |||||||
\(348\) | 0.117525 | + | 0.361704i | 0.00629999 | + | 0.0193894i | ||||
\(349\) | 9.20508 | 0.492737 | 0.246368 | − | 0.969176i | \(-0.420763\pi\) | ||||
0.246368 | + | 0.969176i | \(0.420763\pi\) | |||||||
\(350\) | −12.1582 | − | 4.11896i | −0.649881 | − | 0.220168i | ||||
\(351\) | 9.86437 | 0.526521 | ||||||||
\(352\) | −0.979222 | − | 3.01373i | −0.0521927 | − | 0.160633i | ||||
\(353\) | −13.1549 | + | 9.55761i | −0.700166 | + | 0.508700i | −0.879986 | − | 0.474999i | \(-0.842448\pi\) |
0.179820 | + | 0.983699i | \(0.442448\pi\) | |||||||
\(354\) | −3.49909 | + | 2.54223i | −0.185974 | + | 0.135118i | ||||
\(355\) | −7.50481 | − | 3.88310i | −0.398314 | − | 0.206094i | ||||
\(356\) | 2.26170 | + | 1.64322i | 0.119870 | + | 0.0870904i | ||||
\(357\) | −4.25733 | −0.225322 | ||||||||
\(358\) | 5.69299 | + | 4.13620i | 0.300884 | + | 0.218605i | ||||
\(359\) | 1.11806 | − | 3.44103i | 0.0590089 | − | 0.181611i | −0.917207 | − | 0.398411i | \(-0.869562\pi\) |
0.976216 | + | 0.216800i | \(0.0695619\pi\) | |||||||
\(360\) | 5.61749 | + | 2.90657i | 0.296068 | + | 0.153190i | ||||
\(361\) | 0.309017 | + | 0.951057i | 0.0162641 | + | 0.0500556i | ||||
\(362\) | −4.44828 | + | 13.6904i | −0.233796 | + | 0.719551i | ||||
\(363\) | −0.122636 | + | 0.377434i | −0.00643671 | + | 0.0198102i | ||||
\(364\) | −3.24303 | − | 9.98101i | −0.169981 | − | 0.523147i | ||||
\(365\) | −12.3246 | + | 12.1717i | −0.645099 | + | 0.637094i | ||||
\(366\) | 0.296984 | − | 0.914023i | 0.0155236 | − | 0.0477768i | ||||
\(367\) | −22.0554 | − | 16.0242i | −1.15128 | − | 0.836456i | −0.162632 | − | 0.986687i | \(-0.551998\pi\) |
−0.988651 | + | 0.150231i | \(0.951998\pi\) | |||||||
\(368\) | −1.59604 | −0.0831995 | ||||||||
\(369\) | −17.2339 | − | 12.5211i | −0.897159 | − | 0.651824i | ||||
\(370\) | 3.77511 | + | 7.52484i | 0.196258 | + | 0.391198i | ||||
\(371\) | 0.260653 | − | 0.189375i | 0.0135324 | − | 0.00983187i | ||||
\(372\) | 0.379751 | − | 0.275905i | 0.0196892 | − | 0.0143050i | ||||
\(373\) | 10.2585 | + | 31.5724i | 0.531165 | + | 1.63476i | 0.751792 | + | 0.659400i | \(0.229190\pi\) |
−0.220627 | + | 0.975358i | \(0.570810\pi\) | |||||||
\(374\) | 12.6916 | 0.656266 | ||||||||
\(375\) | 4.16308 | − | 2.02389i | 0.214980 | − | 0.104513i | ||||
\(376\) | 2.93478 | 0.151350 | ||||||||
\(377\) | −1.16032 | − | 3.57109i | −0.0597595 | − | 0.183921i | ||||
\(378\) | 5.01234 | − | 3.64168i | 0.257807 | − | 0.187308i | ||||
\(379\) | −2.91914 | + | 2.12088i | −0.149946 | + | 0.108942i | −0.660229 | − | 0.751064i | \(-0.729541\pi\) |
0.510283 | + | 0.860007i | \(0.329541\pi\) | |||||||
\(380\) | −1.00269 | − | 1.99865i | −0.0514372 | − | 0.102529i | ||||
\(381\) | 5.00105 | + | 3.63348i | 0.256212 | + | 0.186149i | ||||
\(382\) | −9.02275 | −0.461644 | ||||||||
\(383\) | 2.60005 | + | 1.88905i | 0.132856 | + | 0.0965258i | 0.652229 | − | 0.758022i | \(-0.273834\pi\) |
−0.519372 | + | 0.854548i | \(0.673834\pi\) | |||||||
\(384\) | 0.127942 | − | 0.393764i | 0.00652899 | − | 0.0200942i | ||||
\(385\) | 12.9436 | − | 12.7830i | 0.659666 | − | 0.651480i | ||||
\(386\) | −7.95531 | − | 24.4839i | −0.404915 | − | 1.24620i | ||||
\(387\) | 0.140982 | − | 0.433898i | 0.00716652 | − | 0.0220563i | ||||
\(388\) | −0.202040 | + | 0.621814i | −0.0102570 | + | 0.0315678i | ||||
\(389\) | −6.88233 | − | 21.1816i | −0.348948 | − | 1.07395i | −0.959436 | − | 0.281926i | \(-0.909027\pi\) |
0.610488 | − | 0.792025i | \(-0.290973\pi\) | |||||||
\(390\) | 3.36109 | + | 1.73908i | 0.170195 | + | 0.0880616i | ||||
\(391\) | 1.97535 | − | 6.07950i | 0.0998977 | − | 0.307454i | ||||
\(392\) | 0.330512 | + | 0.240131i | 0.0166934 | + | 0.0121285i | ||||
\(393\) | −7.04578 | −0.355412 | ||||||||
\(394\) | 11.6011 | + | 8.42869i | 0.584455 | + | 0.424631i | ||||
\(395\) | −21.6551 | − | 11.2047i | −1.08959 | − | 0.563768i | ||||
\(396\) | −7.25145 | + | 5.26849i | −0.364399 | + | 0.264751i | ||||
\(397\) | 14.7750 | − | 10.7347i | 0.741537 | − | 0.538758i | −0.151655 | − | 0.988434i | \(-0.548460\pi\) |
0.893192 | + | 0.449675i | \(0.148460\pi\) | |||||||
\(398\) | 5.30264 | + | 16.3198i | 0.265797 | + | 0.818040i | ||||
\(399\) | −1.06297 | −0.0532150 | ||||||||
\(400\) | 2.88819 | + | 4.08147i | 0.144409 | + | 0.204073i | ||||
\(401\) | −9.77695 | −0.488238 | −0.244119 | − | 0.969745i | \(-0.578499\pi\) | ||||
−0.244119 | + | 0.969745i | \(0.578499\pi\) | |||||||
\(402\) | 0.508193 | + | 1.56406i | 0.0253464 | + | 0.0780082i | ||||
\(403\) | −3.74927 | + | 2.72400i | −0.186764 | + | 0.135692i | ||||
\(404\) | −14.2967 | + | 10.3871i | −0.711285 | + | 0.516779i | ||||
\(405\) | 2.72198 | − | 16.5178i | 0.135256 | − | 0.820776i | ||||
\(406\) | −1.90795 | − | 1.38620i | −0.0946898 | − | 0.0687962i | ||||
\(407\) | −11.9305 | −0.591374 | ||||||||
\(408\) | 1.34154 | + | 0.974687i | 0.0664162 | + | 0.0482542i | ||||
\(409\) | −7.16362 | + | 22.0474i | −0.354218 | + | 1.09017i | 0.602243 | + | 0.798313i | \(0.294274\pi\) |
−0.956461 | + | 0.291859i | \(0.905726\pi\) | |||||||
\(410\) | −7.55136 | − | 15.0520i | −0.372935 | − | 0.743364i | ||||
\(411\) | 2.75748 | + | 8.48666i | 0.136017 | + | 0.418616i | ||||
\(412\) | 1.92935 | − | 5.93794i | 0.0950524 | − | 0.292541i | ||||
\(413\) | 8.28783 | − | 25.5073i | 0.407818 | − | 1.25513i | ||||
\(414\) | 1.39507 | + | 4.29358i | 0.0685639 | + | 0.211018i | ||||
\(415\) | −0.727820 | + | 4.41663i | −0.0357273 | + | 0.216804i | ||||
\(416\) | −1.26316 | + | 3.88762i | −0.0619317 | + | 0.190606i | ||||
\(417\) | −5.55104 | − | 4.03307i | −0.271836 | − | 0.197500i | ||||
\(418\) | 3.16883 | 0.154992 | ||||||||
\(419\) | −9.03559 | − | 6.56474i | −0.441417 | − | 0.320709i | 0.344780 | − | 0.938683i | \(-0.387953\pi\) |
−0.786198 | + | 0.617975i | \(0.787953\pi\) | |||||||
\(420\) | 2.34988 | − | 0.357160i | 0.114662 | − | 0.0174276i | ||||
\(421\) | −28.0081 | + | 20.3491i | −1.36503 | + | 0.991753i | −0.366923 | + | 0.930251i | \(0.619589\pi\) |
−0.998107 | + | 0.0615015i | \(0.980411\pi\) | |||||||
\(422\) | −3.41165 | + | 2.47871i | −0.166077 | + | 0.120662i | ||||
\(423\) | −2.56523 | − | 7.89498i | −0.124726 | − | 0.383867i | ||||
\(424\) | −0.125491 | −0.00609439 | ||||||||
\(425\) | −19.1213 | + | 5.94998i | −0.927521 | + | 0.288616i | ||||
\(426\) | 1.56457 | 0.0758037 | ||||||||
\(427\) | 1.84160 | + | 5.66786i | 0.0891212 | + | 0.274287i | ||||
\(428\) | −7.75740 | + | 5.63608i | −0.374968 | + | 0.272430i | ||||
\(429\) | −4.33873 | + | 3.15227i | −0.209476 | + | 0.152193i | ||||
\(430\) | 0.256612 | − | 0.253428i | 0.0123749 | − | 0.0122214i | ||||
\(431\) | −25.7930 | − | 18.7397i | −1.24241 | − | 0.902661i | −0.244649 | − | 0.969612i | \(-0.578673\pi\) |
−0.997756 | + | 0.0669511i | \(0.978673\pi\) | |||||||
\(432\) | −2.41319 | −0.116105 | ||||||||
\(433\) | −19.7846 | − | 14.3744i | −0.950787 | − | 0.690788i | 0.000205508 | − | 1.00000i | \(-0.499935\pi\) |
−0.950993 | + | 0.309212i | \(0.899935\pi\) | |||||||
\(434\) | −0.899467 | + | 2.76827i | −0.0431758 | + | 0.132881i | ||||
\(435\) | 0.840761 | − | 0.127788i | 0.0403114 | − | 0.00612696i | ||||
\(436\) | −0.630799 | − | 1.94140i | −0.0302098 | − | 0.0929761i | ||||
\(437\) | 0.493204 | − | 1.51793i | 0.0235932 | − | 0.0726123i | ||||
\(438\) | 0.991106 | − | 3.05031i | 0.0473569 | − | 0.145749i | ||||
\(439\) | −8.23808 | − | 25.3542i | −0.393182 | − | 1.21009i | −0.930368 | − | 0.366627i | \(-0.880513\pi\) |
0.537186 | − | 0.843464i | \(-0.319487\pi\) | |||||||
\(440\) | −7.00526 | + | 1.06473i | −0.333963 | + | 0.0507592i | ||||
\(441\) | 0.357093 | − | 1.09902i | 0.0170044 | − | 0.0523342i | ||||
\(442\) | −13.2450 | − | 9.62306i | −0.630000 | − | 0.457722i | ||||
\(443\) | −28.4740 | −1.35284 | −0.676421 | − | 0.736515i | \(-0.736470\pi\) | ||||
−0.676421 | + | 0.736515i | \(0.736470\pi\) | |||||||
\(444\) | −1.26109 | − | 0.916238i | −0.0598489 | − | 0.0434827i | ||||
\(445\) | 4.44776 | − | 4.39256i | 0.210844 | − | 0.208228i | ||||
\(446\) | 6.94756 | − | 5.04769i | 0.328976 | − | 0.239015i | ||||
\(447\) | −6.19438 | + | 4.50048i | −0.292984 | + | 0.212865i | ||||
\(448\) | 0.793366 | + | 2.44173i | 0.0374830 | + | 0.115361i | ||||
\(449\) | −14.9016 | −0.703250 | −0.351625 | − | 0.936141i | \(-0.614371\pi\) | ||||
−0.351625 | + | 0.936141i | \(0.614371\pi\) | |||||||
\(450\) | 8.45521 | − | 11.3372i | 0.398583 | − | 0.534439i | ||||
\(451\) | 23.8647 | 1.12374 | ||||||||
\(452\) | 3.10494 | + | 9.55603i | 0.146044 | + | 0.449478i | ||||
\(453\) | −5.11436 | + | 3.71580i | −0.240294 | + | 0.174583i | ||||
\(454\) | 19.5413 | − | 14.1976i | 0.917117 | − | 0.666325i | ||||
\(455\) | −23.2003 | + | 3.52623i | −1.08765 | + | 0.165312i | ||||
\(456\) | 0.334955 | + | 0.243359i | 0.0156857 | + | 0.0113963i | ||||
\(457\) | 30.3947 | 1.42180 | 0.710902 | − | 0.703291i | \(-0.248287\pi\) | ||||
0.710902 | + | 0.703291i | \(0.248287\pi\) | |||||||
\(458\) | −17.9662 | − | 13.0532i | −0.839507 | − | 0.609937i | ||||
\(459\) | 2.98670 | − | 9.19212i | 0.139407 | − | 0.429051i | ||||
\(460\) | −0.580289 | + | 3.52137i | −0.0270561 | + | 0.164185i | ||||
\(461\) | 1.98648 | + | 6.11376i | 0.0925197 | + | 0.284746i | 0.986599 | − | 0.163162i | \(-0.0521692\pi\) |
−0.894080 | + | 0.447908i | \(0.852169\pi\) | |||||||
\(462\) | −1.04088 | + | 3.20350i | −0.0484262 | + | 0.149040i | ||||
\(463\) | 2.53688 | − | 7.80770i | 0.117899 | − | 0.362855i | −0.874642 | − | 0.484769i | \(-0.838904\pi\) |
0.992541 | + | 0.121915i | \(0.0389035\pi\) | |||||||
\(464\) | 0.283857 | + | 0.873623i | 0.0131777 | + | 0.0405569i | ||||
\(465\) | −0.470663 | − | 0.938162i | −0.0218265 | − | 0.0435062i | ||||
\(466\) | 3.05336 | − | 9.39727i | 0.141444 | − | 0.435320i | ||||
\(467\) | −3.02046 | − | 2.19450i | −0.139770 | − | 0.101549i | 0.515703 | − | 0.856767i | \(-0.327531\pi\) |
−0.655473 | + | 0.755218i | \(0.727531\pi\) | |||||||
\(468\) | 11.5623 | 0.534470 | ||||||||
\(469\) | −8.25023 | − | 5.99414i | −0.380960 | − | 0.276784i | ||||
\(470\) | 1.06703 | − | 6.47505i | 0.0492184 | − | 0.298672i | ||||
\(471\) | −3.27169 | + | 2.37702i | −0.150751 | + | 0.109527i | ||||
\(472\) | −8.45133 | + | 6.14025i | −0.389004 | + | 0.282628i | ||||
\(473\) | 0.157941 | + | 0.486091i | 0.00726211 | + | 0.0223505i | ||||
\(474\) | 4.51456 | 0.207361 | ||||||||
\(475\) | −4.77420 | + | 1.48559i | −0.219056 | + | 0.0681634i | ||||
\(476\) | −10.2827 | −0.471308 | ||||||||
\(477\) | 0.109689 | + | 0.337589i | 0.00502233 | + | 0.0154571i | ||||
\(478\) | −20.7772 | + | 15.0955i | −0.950328 | + | 0.690454i | ||||
\(479\) | 8.06106 | − | 5.85670i | 0.368319 | − | 0.267600i | −0.388194 | − | 0.921578i | \(-0.626901\pi\) |
0.756514 | + | 0.653978i | \(0.226901\pi\) | |||||||
\(480\) | −0.822248 | − | 0.425443i | −0.0375303 | − | 0.0194187i | ||||
\(481\) | 12.4507 | + | 9.04600i | 0.567705 | + | 0.412462i | ||||
\(482\) | 8.96406 | 0.408302 | ||||||||
\(483\) | 1.37253 | + | 0.997203i | 0.0624524 | + | 0.0453743i | ||||
\(484\) | −0.296202 | + | 0.911616i | −0.0134637 | + | 0.0414371i | ||||
\(485\) | 1.29846 | + | 0.671841i | 0.0589599 | + | 0.0305067i | ||||
\(486\) | 3.19500 | + | 9.83321i | 0.144928 | + | 0.446043i | ||||
\(487\) | 3.07424 | − | 9.46155i | 0.139307 | − | 0.428744i | −0.856928 | − | 0.515437i | \(-0.827630\pi\) |
0.996235 | + | 0.0866926i | \(0.0276298\pi\) | |||||||
\(488\) | 0.717305 | − | 2.20764i | 0.0324709 | − | 0.0999351i | ||||
\(489\) | 2.33030 | + | 7.17191i | 0.105380 | + | 0.324325i | ||||
\(490\) | 0.649972 | − | 0.641906i | 0.0293627 | − | 0.0289984i | ||||
\(491\) | −6.85252 | + | 21.0899i | −0.309250 | + | 0.951773i | 0.668807 | + | 0.743436i | \(0.266805\pi\) |
−0.978057 | + | 0.208337i | \(0.933195\pi\) | |||||||
\(492\) | 2.52257 | + | 1.83275i | 0.113726 | + | 0.0826270i | ||||
\(493\) | −3.67904 | −0.165696 | ||||||||
\(494\) | −3.30701 | − | 2.40268i | −0.148789 | − | 0.108102i | ||||
\(495\) | 8.98744 | + | 17.9145i | 0.403955 | + | 0.805196i | ||||
\(496\) | 0.917212 | − | 0.666393i | 0.0411840 | − | 0.0299219i | ||||
\(497\) | −7.84900 | + | 5.70264i | −0.352076 | + | 0.255798i | ||||
\(498\) | −0.256115 | − | 0.788242i | −0.0114768 | − | 0.0353220i | ||||
\(499\) | −17.5726 | −0.786659 | −0.393330 | − | 0.919398i | \(-0.628677\pi\) | ||||
−0.393330 | + | 0.919398i | \(0.628677\pi\) | |||||||
\(500\) | 10.0551 | − | 4.88830i | 0.449677 | − | 0.218612i | ||||
\(501\) | −5.13702 | −0.229505 | ||||||||
\(502\) | 5.19395 | + | 15.9853i | 0.231818 | + | 0.713461i | ||||
\(503\) | 20.3554 | − | 14.7891i | 0.907602 | − | 0.659411i | −0.0328055 | − | 0.999462i | \(-0.510444\pi\) |
0.940407 | + | 0.340051i | \(0.110444\pi\) | |||||||
\(504\) | 5.87513 | − | 4.26853i | 0.261699 | − | 0.190135i | ||||
\(505\) | 17.7193 | + | 35.3194i | 0.788496 | + | 1.57169i | ||||
\(506\) | −4.09167 | − | 2.97277i | −0.181897 | − | 0.132156i | ||||
\(507\) | 1.53569 | 0.0682025 | ||||||||
\(508\) | 12.0790 | + | 8.77593i | 0.535921 | + | 0.389369i | ||||
\(509\) | −4.12174 | + | 12.6854i | −0.182693 | + | 0.562271i | −0.999901 | − | 0.0140719i | \(-0.995521\pi\) |
0.817208 | + | 0.576343i | \(0.195521\pi\) | |||||||
\(510\) | 2.63822 | − | 2.60548i | 0.116822 | − | 0.115373i | ||||
\(511\) | 6.14585 | + | 18.9150i | 0.271876 | + | 0.836749i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 0.745718 | − | 2.29508i | 0.0329242 | − | 0.101330i | ||||
\(514\) | 5.07575 | + | 15.6216i | 0.223882 | + | 0.689037i | ||||
\(515\) | −12.3995 | − | 6.41567i | −0.546386 | − | 0.282708i | ||||
\(516\) | −0.0206359 | + | 0.0635109i | −0.000908446 | + | 0.00279591i | ||||
\(517\) | 7.52372 | + | 5.46630i | 0.330893 | + | 0.240408i | ||||
\(518\) | 9.66610 | 0.424704 | ||||||||
\(519\) | 1.23851 | + | 0.899831i | 0.0543646 | + | 0.0394982i | ||||
\(520\) | 8.11803 | + | 4.20039i | 0.355999 | + | 0.184199i | ||||
\(521\) | 30.5103 | − | 22.1670i | 1.33668 | − | 0.971156i | 0.337122 | − | 0.941461i | \(-0.390547\pi\) |
0.999559 | − | 0.0296945i | \(-0.00945344\pi\) | |||||||
\(522\) | 2.10205 | − | 1.52723i | 0.0920044 | − | 0.0668451i | ||||
\(523\) | 3.73252 | + | 11.4875i | 0.163212 | + | 0.502314i | 0.998900 | − | 0.0468900i | \(-0.0149310\pi\) |
−0.835688 | + | 0.549204i | \(0.814931\pi\) | |||||||
\(524\) | −17.0177 | −0.743420 | ||||||||
\(525\) | 0.0663637 | − | 5.31443i | 0.00289635 | − | 0.231941i | ||||
\(526\) | 4.11480 | 0.179414 | ||||||||
\(527\) | 1.40317 | + | 4.31852i | 0.0611232 | + | 0.188118i | ||||
\(528\) | 1.06142 | − | 0.771164i | 0.0461922 | − | 0.0335606i | ||||
\(529\) | 16.5465 | − | 12.0218i | 0.719415 | − | 0.522685i | ||||
\(530\) | −0.0456261 | + | 0.276873i | −0.00198187 | + | 0.0120266i | ||||
\(531\) | 23.9053 | + | 17.3682i | 1.03740 | + | 0.753716i | ||||
\(532\) | −2.56738 | −0.111310 | ||||||||
\(533\) | −24.9053 | − | 18.0947i | −1.07877 | − | 0.783770i | ||||
\(534\) | −0.357675 | + | 1.10081i | −0.0154781 | + | 0.0476367i | ||||
\(535\) | 9.61452 | + | 19.1644i | 0.415672 | + | 0.828550i | ||||
\(536\) | 1.22744 | + | 3.77767i | 0.0530173 | + | 0.163170i | ||||
\(537\) | −0.900314 | + | 2.77088i | −0.0388514 | + | 0.119572i | ||||
\(538\) | 4.60558 | − | 14.1745i | 0.198561 | − | 0.611107i | ||||
\(539\) | 0.400047 | + | 1.23122i | 0.0172312 | + | 0.0530323i | ||||
\(540\) | −0.877389 | + | 5.32426i | −0.0377568 | + | 0.229119i | ||||
\(541\) | −7.14208 | + | 21.9811i | −0.307062 | + | 0.945040i | 0.671838 | + | 0.740698i | \(0.265505\pi\) |
−0.978900 | + | 0.204341i | \(0.934495\pi\) | |||||||
\(542\) | −13.2088 | − | 9.59679i | −0.567369 | − | 0.412217i | ||||
\(543\) | −5.95990 | −0.255764 | ||||||||
\(544\) | 3.24022 | + | 2.35416i | 0.138923 | + | 0.100934i | ||||
\(545\) | −4.51268 | + | 0.685884i | −0.193302 | + | 0.0293801i | ||||
\(546\) | 3.51524 | − | 2.55397i | 0.150438 | − | 0.109300i | ||||
\(547\) | −17.7522 | + | 12.8977i | −0.759029 | + | 0.551467i | −0.898612 | − | 0.438743i | \(-0.855424\pi\) |
0.139583 | + | 0.990210i | \(0.455424\pi\) | |||||||
\(548\) | 6.66014 | + | 20.4978i | 0.284507 | + | 0.875623i | ||||
\(549\) | −6.56584 | −0.280223 | ||||||||
\(550\) | −0.197838 | + | 15.8429i | −0.00843583 | + | 0.675544i | ||||
\(551\) | −0.918582 | −0.0391329 | ||||||||
\(552\) | −0.204200 | − | 0.628464i | −0.00869134 | − | 0.0267492i | ||||
\(553\) | −22.6483 | + | 16.4549i | −0.963102 | + | 0.699735i | ||||
\(554\) | −1.63147 | + | 1.18533i | −0.0693146 | + | 0.0503600i | ||||
\(555\) | −2.48001 | + | 2.44924i | −0.105271 | + | 0.103964i | ||||
\(556\) | −13.4074 | − | 9.74107i | −0.568602 | − | 0.413113i | ||||
\(557\) | −3.59953 | −0.152517 | −0.0762584 | − | 0.997088i | \(-0.524297\pi\) | ||||
−0.0762584 | + | 0.997088i | \(0.524297\pi\) | |||||||
\(558\) | −2.59441 | − | 1.88495i | −0.109830 | − | 0.0797962i | ||||
\(559\) | 0.203738 | − | 0.627041i | 0.00861720 | − | 0.0265210i | ||||
\(560\) | 5.67566 | − | 0.862648i | 0.239841 | − | 0.0364535i | ||||
\(561\) | 1.62378 | + | 4.99748i | 0.0685561 | + | 0.210994i | ||||
\(562\) | 0.893501 | − | 2.74991i | 0.0376901 | − | 0.115998i | ||||
\(563\) | 12.2573 | − | 37.7241i | 0.516584 | − | 1.58988i | −0.263797 | − | 0.964578i | \(-0.584975\pi\) |
0.780381 | − | 0.625304i | \(-0.215025\pi\) | |||||||
\(564\) | 0.375481 | + | 1.15561i | 0.0158106 | + | 0.0486600i | ||||
\(565\) | 22.2125 | − | 3.37609i | 0.934486 | − | 0.142033i | ||||
\(566\) | −2.11643 | + | 6.51370i | −0.0889602 | + | 0.273791i | ||||
\(567\) | −15.5501 | − | 11.2978i | −0.653044 | − | 0.474464i | ||||
\(568\) | 3.77891 | 0.158559 | ||||||||
\(569\) | −37.3552 | − | 27.1402i | −1.56601 | − | 1.13777i | −0.930853 | − | 0.365393i | \(-0.880935\pi\) |
−0.635159 | − | 0.772382i | \(-0.719065\pi\) | |||||||
\(570\) | 0.658709 | − | 0.650535i | 0.0275903 | − | 0.0272479i | ||||
\(571\) | −7.51590 | + | 5.46062i | −0.314531 | + | 0.228520i | −0.733838 | − | 0.679324i | \(-0.762273\pi\) |
0.419307 | + | 0.907844i | \(0.362273\pi\) | |||||||
\(572\) | −10.4793 | + | 7.61368i | −0.438163 | + | 0.318344i | ||||
\(573\) | −1.15438 | − | 3.55283i | −0.0482251 | − | 0.148422i | ||||
\(574\) | −19.3351 | −0.807033 | ||||||||
\(575\) | 7.55825 | + | 2.56060i | 0.315201 | + | 0.106784i | ||||
\(576\) | −2.82858 | −0.117858 | ||||||||
\(577\) | 11.4020 | + | 35.0916i | 0.474670 | + | 1.46088i | 0.846402 | + | 0.532544i | \(0.178764\pi\) |
−0.371732 | + | 0.928340i | \(0.621236\pi\) | |||||||
\(578\) | 0.775767 | − | 0.563628i | 0.0322676 | − | 0.0234438i | ||||
\(579\) | 8.62307 | − | 6.26503i | 0.358362 | − | 0.260366i | ||||
\(580\) | 2.03069 | − | 0.308646i | 0.0843198 | − | 0.0128158i | ||||
\(581\) | 4.15789 | + | 3.02088i | 0.172498 | + | 0.125327i | ||||
\(582\) | −0.270697 | −0.0112207 | ||||||||
\(583\) | −0.321714 | − | 0.233739i | −0.0133240 | − | 0.00968047i | ||||
\(584\) | 2.39382 | − | 7.36741i | 0.0990568 | − | 0.304866i | ||||
\(585\) | 4.20384 | − | 25.5101i | 0.173807 | − | 1.05471i | ||||
\(586\) | 1.75980 | + | 5.41611i | 0.0726967 | + | 0.223737i | ||||
\(587\) | −14.2970 | + | 44.0018i | −0.590102 | + | 1.81615i | −0.0123677 | + | 0.999924i | \(0.503937\pi\) |
−0.577735 | + | 0.816225i | \(0.696063\pi\) | |||||||
\(588\) | −0.0522687 | + | 0.160867i | −0.00215552 | + | 0.00663402i | ||||
\(589\) | 0.350344 | + | 1.07825i | 0.0144357 | + | 0.0444284i | ||||
\(590\) | 10.4746 | + | 20.8787i | 0.431231 | + | 0.859564i | ||||
\(591\) | −1.83465 | + | 5.64647i | −0.0754674 | + | 0.232265i | ||||
\(592\) | −3.04592 | − | 2.21299i | −0.125186 | − | 0.0909533i | ||||
\(593\) | −24.3035 | −0.998025 | −0.499013 | − | 0.866595i | \(-0.666304\pi\) | ||||
−0.499013 | + | 0.866595i | \(0.666304\pi\) | |||||||
\(594\) | −6.18655 | − | 4.49479i | −0.253837 | − | 0.184423i | ||||
\(595\) | −3.73859 | + | 22.6869i | −0.153267 | + | 0.930071i | ||||
\(596\) | −14.9613 | + | 10.8700i | −0.612837 | + | 0.445252i | ||||
\(597\) | −5.74773 | + | 4.17597i | −0.235239 | + | 0.170911i | ||||
\(598\) | 2.01606 | + | 6.20481i | 0.0824430 | + | 0.253733i | ||||
\(599\) | −6.03256 | −0.246484 | −0.123242 | − | 0.992377i | \(-0.539329\pi\) | ||||
−0.123242 | + | 0.992377i | \(0.539329\pi\) | |||||||
\(600\) | −1.23761 | + | 1.65945i | −0.0505254 | + | 0.0677469i | ||||
\(601\) | −17.0442 | −0.695246 | −0.347623 | − | 0.937634i | \(-0.613011\pi\) | ||||
−0.347623 | + | 0.937634i | \(0.613011\pi\) | |||||||
\(602\) | −0.127963 | − | 0.393831i | −0.00521540 | − | 0.0160514i | ||||
\(603\) | 9.08958 | − | 6.60397i | 0.370156 | − | 0.268934i | ||||
\(604\) | −12.3527 | + | 8.97476i | −0.502624 | + | 0.365178i | ||||
\(605\) | 1.90362 | + | 0.984959i | 0.0773930 | + | 0.0400443i | ||||
\(606\) | −5.91921 | − | 4.30056i | −0.240451 | − | 0.174698i | ||||
\(607\) | −21.8360 | −0.886296 | −0.443148 | − | 0.896448i | \(-0.646138\pi\) | ||||
−0.443148 | + | 0.896448i | \(0.646138\pi\) | |||||||
\(608\) | 0.809017 | + | 0.587785i | 0.0328100 | + | 0.0238378i | ||||
\(609\) | 0.301731 | − | 0.928633i | 0.0122268 | − | 0.0376301i | ||||
\(610\) | −4.60994 | − | 2.38525i | −0.186651 | − | 0.0965760i | ||||
\(611\) | −3.70711 | − | 11.4093i | −0.149974 | − | 0.461572i | ||||
\(612\) | 3.50081 | − | 10.7744i | 0.141512 | − | 0.435528i | ||||
\(613\) | 5.66521 | − | 17.4357i | 0.228816 | − | 0.704222i | −0.769066 | − | 0.639169i | \(-0.779278\pi\) |
0.997882 | − | 0.0650529i | \(-0.0207216\pi\) | |||||||
\(614\) | −1.29557 | − | 3.98734i | −0.0522848 | − | 0.160916i | ||||
\(615\) | 4.96078 | − | 4.89922i | 0.200038 | − | 0.197556i | ||||
\(616\) | −2.51404 | + | 7.73742i | −0.101294 | + | 0.311749i | ||||
\(617\) | 29.7313 | + | 21.6010i | 1.19694 | + | 0.869625i | 0.993980 | − | 0.109563i | \(-0.0349452\pi\) |
0.202956 | + | 0.979188i | \(0.434945\pi\) | |||||||
\(618\) | 2.58499 | 0.103983 | ||||||||
\(619\) | −5.36865 | − | 3.90055i | −0.215784 | − | 0.156776i | 0.474643 | − | 0.880179i | \(-0.342577\pi\) |
−0.690427 | + | 0.723402i | \(0.742577\pi\) | |||||||
\(620\) | −1.13679 | − | 2.26594i | −0.0456546 | − | 0.0910024i | ||||
\(621\) | −3.11598 | + | 2.26389i | −0.125040 | + | 0.0908468i | ||||
\(622\) | 18.5480 | − | 13.4759i | 0.743708 | − | 0.540336i | ||||
\(623\) | −2.21794 | − | 6.82612i | −0.0888599 | − | 0.273483i | ||||
\(624\) | −1.69241 | −0.0677508 | ||||||||
\(625\) | −7.12929 | − | 23.9619i | −0.285172 | − | 0.958476i | ||||
\(626\) | −11.6293 | −0.464802 | ||||||||
\(627\) | 0.405425 | + | 1.24777i | 0.0161911 | + | 0.0498311i | ||||
\(628\) | −7.90210 | + | 5.74121i | −0.315328 | + | 0.229099i | ||||
\(629\) | 12.1993 | − | 8.86332i | 0.486418 | − | 0.353404i | ||||
\(630\) | −7.28163 | − | 14.5143i | −0.290107 | − | 0.578264i | ||||
\(631\) | 5.31504 | + | 3.86160i | 0.211588 | + | 0.153728i | 0.688532 | − | 0.725206i | \(-0.258255\pi\) |
−0.476944 | + | 0.878934i | \(0.658255\pi\) | |||||||
\(632\) | 10.9040 | 0.433738 | ||||||||
\(633\) | −1.41252 | − | 1.02625i | −0.0561425 | − | 0.0407899i | ||||
\(634\) | −1.51155 | + | 4.65208i | −0.0600315 | + | 0.184758i | ||||
\(635\) | 23.7541 | − | 23.4594i | 0.942654 | − | 0.930956i | ||||
\(636\) | −0.0160555 | − | 0.0494139i | −0.000636644 | − | 0.00195939i | ||||
\(637\) | 0.516048 | − | 1.58823i | 0.0204465 | − | 0.0629280i | ||||
\(638\) | −0.899495 | + | 2.76836i | −0.0356113 | + | 0.109600i | ||||
\(639\) | −3.30306 | − | 10.1658i | −0.130667 | − | 0.402152i | ||||
\(640\) | −1.98597 | − | 1.02757i | −0.0785025 | − | 0.0406184i | ||||
\(641\) | 8.61370 | − | 26.5102i | 0.340221 | − | 1.04709i | −0.623872 | − | 0.781526i | \(-0.714441\pi\) |
0.964093 | − | 0.265565i | \(-0.0855585\pi\) | |||||||
\(642\) | −3.21178 | − | 2.33349i | −0.126759 | − | 0.0920957i | ||||
\(643\) | −24.5474 | −0.968055 | −0.484027 | − | 0.875053i | \(-0.660826\pi\) | ||||
−0.484027 | + | 0.875053i | \(0.660826\pi\) | |||||||
\(644\) | 3.31507 | + | 2.40854i | 0.130632 | + | 0.0949098i | ||||
\(645\) | 0.132622 | + | 0.0686206i | 0.00522198 | + | 0.00270193i | ||||
\(646\) | −3.24022 | + | 2.35416i | −0.127485 | + | 0.0926231i | ||||
\(647\) | 15.4438 | − | 11.2206i | 0.607160 | − | 0.441127i | −0.241253 | − | 0.970462i | \(-0.577558\pi\) |
0.848413 | + | 0.529335i | \(0.177558\pi\) | |||||||
\(648\) | 2.31349 | + | 7.12019i | 0.0908825 | + | 0.279708i | ||||
\(649\) | −33.1029 | −1.29940 | ||||||||
\(650\) | 12.2189 | − | 16.3837i | 0.479266 | − | 0.642623i | ||||
\(651\) | −1.20512 | −0.0472326 | ||||||||
\(652\) | 5.62836 | + | 17.3223i | 0.220424 | + | 0.678394i | ||||
\(653\) | −7.66862 | + | 5.57158i | −0.300096 | + | 0.218033i | −0.727635 | − | 0.685964i | \(-0.759381\pi\) |
0.427539 | + | 0.903997i | \(0.359381\pi\) | |||||||
\(654\) | 0.683747 | − | 0.496771i | 0.0267366 | − | 0.0194253i | ||||
\(655\) | −6.18728 | + | 37.5462i | −0.241757 | + | 1.46705i | ||||
\(656\) | 6.09276 | + | 4.42665i | 0.237882 | + | 0.172832i | ||||
\(657\) | −21.9118 | −0.854859 | ||||||||
\(658\) | −6.09572 | − | 4.42880i | −0.237636 | − | 0.172652i | ||||
\(659\) | 1.53157 | − | 4.71367i | 0.0596613 | − | 0.183619i | −0.916784 | − | 0.399383i | \(-0.869224\pi\) |
0.976445 | + | 0.215764i | \(0.0692243\pi\) | |||||||
\(660\) | −1.31552 | − | 2.62219i | −0.0512065 | − | 0.102069i | ||||
\(661\) | −2.61266 | − | 8.04093i | −0.101621 | − | 0.312756i | 0.887302 | − | 0.461189i | \(-0.152577\pi\) |
−0.988922 | + | 0.148433i | \(0.952577\pi\) | |||||||
\(662\) | −8.73503 | + | 26.8836i | −0.339496 | + | 1.04486i | ||||
\(663\) | 2.09462 | − | 6.44659i | 0.0813484 | − | 0.250365i | ||||
\(664\) | −0.618595 | − | 1.90384i | −0.0240061 | − | 0.0738833i | ||||
\(665\) | −0.933450 | + | 5.66445i | −0.0361976 | + | 0.219658i | ||||
\(666\) | −3.29088 | + | 10.1283i | −0.127519 | + | 0.392463i | ||||
\(667\) | 1.18610 | + | 0.861749i | 0.0459258 | + | 0.0333671i | ||||
\(668\) | −12.4074 | −0.480058 | ||||||||
\(669\) | 2.87648 | + | 2.08988i | 0.111211 | + | 0.0807996i | ||||
\(670\) | 8.78098 | − | 1.33463i | 0.339239 | − | 0.0515612i | ||||
\(671\) | 5.95084 | − | 4.32354i | 0.229729 | − | 0.166908i | ||||
\(672\) | −0.859959 | + | 0.624797i | −0.0331736 | + | 0.0241021i | ||||
\(673\) | 3.03365 | + | 9.33662i | 0.116939 | + | 0.359900i | 0.992346 | − | 0.123485i | \(-0.0394070\pi\) |
−0.875408 | + | 0.483385i | \(0.839407\pi\) | |||||||
\(674\) | 4.26380 | 0.164235 | ||||||||
\(675\) | 11.4280 | + | 3.87159i | 0.439863 | + | 0.149017i | ||||
\(676\) | 3.70916 | 0.142660 | ||||||||
\(677\) | −4.08002 | − | 12.5570i | −0.156808 | − | 0.482605i | 0.841532 | − | 0.540208i | \(-0.181654\pi\) |
−0.998340 | + | 0.0576026i | \(0.981654\pi\) | |||||||
\(678\) | −3.36557 | + | 2.44523i | −0.129254 | + | 0.0939084i | ||||
\(679\) | 1.35801 | − | 0.986651i | 0.0521156 | − | 0.0378642i | ||||
\(680\) | 6.37209 | − | 6.29301i | 0.244358 | − | 0.241326i | ||||
\(681\) | 8.09062 | + | 5.87818i | 0.310033 | + | 0.225252i | ||||
\(682\) | 3.59261 | 0.137568 | ||||||||
\(683\) | −18.5998 | − | 13.5135i | −0.711702 | − | 0.517082i | 0.172021 | − | 0.985093i | \(-0.444970\pi\) |
−0.883722 | + | 0.468012i | \(0.844970\pi\) | |||||||
\(684\) | 0.874080 | − | 2.69014i | 0.0334213 | − | 0.102860i | ||||
\(685\) | 47.6461 | − | 7.24176i | 1.82046 | − | 0.276693i | ||||
\(686\) | −5.87768 | − | 18.0896i | −0.224411 | − | 0.690665i | ||||
\(687\) | 2.84126 | − | 8.74450i | 0.108401 | − | 0.333623i | ||||
\(688\) | −0.0498419 | + | 0.153398i | −0.00190021 | + | 0.00584823i | ||||
\(689\) | 0.158516 | + | 0.487862i | 0.00603898 | + | 0.0185861i | ||||
\(690\) | −1.46083 | + | 0.222032i | −0.0556128 | + | 0.00845263i | ||||
\(691\) | −4.74377 | + | 14.5998i | −0.180461 | + | 0.555403i | −0.999841 | − | 0.0178486i | \(-0.994318\pi\) |
0.819379 | + | 0.573252i | \(0.194318\pi\) | |||||||
\(692\) | 2.99137 | + | 2.17336i | 0.113715 | + | 0.0826188i | ||||
\(693\) | 23.0122 | 0.874161 | ||||||||
\(694\) | 17.5562 | + | 12.7553i | 0.666422 | + | 0.484184i | ||||
\(695\) | −26.3665 | + | 26.0393i | −1.00014 | + | 0.987727i | ||||
\(696\) | −0.307684 | + | 0.223545i | −0.0116627 | + | 0.00847346i | ||||
\(697\) | −24.4023 | + | 17.7293i | −0.924304 | + | 0.671546i | ||||
\(698\) | 2.84453 | + | 8.75455i | 0.107667 | + | 0.331365i | ||||
\(699\) | 4.09096 | 0.154734 | ||||||||
\(700\) | 0.160288 | − | 12.8359i | 0.00605832 | − | 0.485152i | ||||
\(701\) | 25.2162 | 0.952404 | 0.476202 | − | 0.879336i | \(-0.342013\pi\) | ||||
0.476202 | + | 0.879336i | \(0.342013\pi\) | |||||||
\(702\) | 3.04826 | + | 9.38157i | 0.115049 | + | 0.354085i | ||||
\(703\) | 3.04592 | − | 2.21299i | 0.114879 | − | 0.0834644i | ||||
\(704\) | 2.56364 | − | 1.86259i | 0.0966207 | − | 0.0701990i | ||||
\(705\) | 2.68615 | − | 0.408270i | 0.101166 | − | 0.0153764i | ||||
\(706\) | −13.1549 | − | 9.55761i | −0.495092 | − | 0.359705i | ||||
\(707\) | 45.3699 | 1.70631 | ||||||||
\(708\) | −3.49909 | − | 2.54223i | −0.131504 | − | 0.0955430i | ||||
\(709\) | 0.503253 | − | 1.54885i | 0.0189000 | − | 0.0581684i | −0.941162 | − | 0.337957i | \(-0.890264\pi\) |
0.960062 | + | 0.279788i | \(0.0902643\pi\) | |||||||
\(710\) | 1.37393 | − | 8.33744i | 0.0515628 | − | 0.312899i | ||||
\(711\) | −9.53098 | − | 29.3333i | −0.357440 | − | 1.10009i | ||||
\(712\) | −0.863891 | + | 2.65878i | −0.0323757 | + | 0.0996421i | ||||
\(713\) | 0.559164 | − | 1.72093i | 0.0209408 | − | 0.0644493i | ||||
\(714\) | −1.31559 | − | 4.04896i | −0.0492346 | − | 0.151529i | ||||
\(715\) | 12.9881 | + | 25.8888i | 0.485726 | + | 0.968188i | ||||
\(716\) | −2.17453 | + | 6.69251i | −0.0812659 | + | 0.250111i | ||||
\(717\) | −8.60234 | − | 6.24997i | −0.321260 | − | 0.233409i | ||||
\(718\) | 3.61811 | 0.135027 | ||||||||
\(719\) | 5.49892 | + | 3.99520i | 0.205075 | + | 0.148996i | 0.685583 | − | 0.727995i | \(-0.259548\pi\) |
−0.480508 | + | 0.876991i | \(0.659548\pi\) | |||||||
\(720\) | −1.02842 | + | 6.24073i | −0.0383268 | + | 0.232578i | ||||
\(721\) | −12.9681 | + | 9.42191i | −0.482959 | + | 0.350890i | ||||
\(722\) | −0.809017 | + | 0.587785i | −0.0301085 | + | 0.0218751i | ||||
\(723\) | 1.14688 | + | 3.52972i | 0.0426528 | + | 0.131272i | ||||
\(724\) | −14.3949 | −0.534983 | ||||||||
\(725\) | 0.0573493 | − | 4.59255i | 0.00212990 | − | 0.170563i | ||||
\(726\) | −0.396858 | −0.0147288 | ||||||||
\(727\) | −0.205195 | − | 0.631525i | −0.00761025 | − | 0.0234220i | 0.947179 | − | 0.320705i | \(-0.103920\pi\) |
−0.954790 | + | 0.297283i | \(0.903920\pi\) | |||||||
\(728\) | 8.49036 | − | 6.16860i | 0.314673 | − | 0.228624i | ||||
\(729\) | 14.7072 | − | 10.6854i | 0.544712 | − | 0.395756i | ||||
\(730\) | −15.3845 | − | 7.96015i | −0.569404 | − | 0.294618i | ||||
\(731\) | −0.522622 | − | 0.379707i | −0.0193299 | − | 0.0140440i | ||||
\(732\) | 0.961061 | 0.0355218 | ||||||||
\(733\) | −16.0689 | − | 11.6747i | −0.593518 | − | 0.431216i | 0.250054 | − | 0.968232i | \(-0.419552\pi\) |
−0.843572 | + | 0.537016i | \(0.819552\pi\) | |||||||
\(734\) | 8.42442 | − | 25.9277i | 0.310951 | − | 0.957008i | ||||
\(735\) | 0.335918 | + | 0.173809i | 0.0123905 | + | 0.00641104i | ||||
\(736\) | −0.493204 | − | 1.51793i | −0.0181798 | − | 0.0559515i | ||||
\(737\) | −3.88954 | + | 11.9708i | −0.143273 | + | 0.440949i | ||||
\(738\) | 6.58275 | − | 20.2596i | 0.242314 | − | 0.745767i | ||||
\(739\) | 13.7987 | + | 42.4680i | 0.507593 | + | 1.56221i | 0.796367 | + | 0.604814i | \(0.206753\pi\) |
−0.288773 | + | 0.957397i | \(0.593247\pi\) | |||||||
\(740\) | −5.98998 | + | 5.91564i | −0.220196 | + | 0.217463i | ||||
\(741\) | 0.522985 | − | 1.60958i | 0.0192123 | − | 0.0591294i | ||||
\(742\) | 0.260653 | + | 0.189375i | 0.00956886 | + | 0.00695218i | ||||
\(743\) | 39.0883 | 1.43401 | 0.717006 | − | 0.697067i | \(-0.245512\pi\) | ||||
0.717006 | + | 0.697067i | \(0.245512\pi\) | |||||||
\(744\) | 0.379751 | + | 0.275905i | 0.0139223 | + | 0.0101152i | ||||
\(745\) | 18.5430 | + | 36.9613i | 0.679362 | + | 1.35416i | ||||
\(746\) | −26.8571 | + | 19.5128i | −0.983309 | + | 0.714416i | ||||
\(747\) | −4.58090 | + | 3.32822i | −0.167606 | + | 0.121773i | ||||
\(748\) | 3.92191 | + | 12.0704i | 0.143399 | + | 0.441338i | ||||
\(749\) | 24.6178 | 0.899516 | ||||||||
\(750\) | 3.21130 | + | 3.33390i | 0.117260 | + | 0.121737i | ||||
\(751\) | 27.7769 | 1.01359 | 0.506797 | − | 0.862066i | \(-0.330829\pi\) | ||||
0.506797 | + | 0.862066i | \(0.330829\pi\) | |||||||
\(752\) | 0.906898 | + | 2.79115i | 0.0330712 | + | 0.101783i | ||||
\(753\) | −5.62993 | + | 4.09038i | −0.205166 | + | 0.149062i | ||||
\(754\) | 3.03775 | − | 2.20706i | 0.110628 | − | 0.0803763i | ||||
\(755\) | 15.3099 | + | 30.5169i | 0.557185 | + | 1.11063i | ||||
\(756\) | 5.01234 | + | 3.64168i | 0.182297 | + | 0.132447i | ||||
\(757\) | −7.78825 | −0.283069 | −0.141534 | − | 0.989933i | \(-0.545204\pi\) | ||||
−0.141534 | + | 0.989933i | \(0.545204\pi\) | |||||||
\(758\) | −2.91914 | − | 2.12088i | −0.106028 | − | 0.0770338i | ||||
\(759\) | 0.647075 | − | 1.99149i | 0.0234873 | − | 0.0722866i | ||||
\(760\) | 1.59098 | − | 1.57124i | 0.0577109 | − | 0.0569947i | ||||
\(761\) | −16.8093 | − | 51.7336i | −0.609335 | − | 1.87534i | −0.463671 | − | 0.886008i | \(-0.653468\pi\) |
−0.145665 | − | 0.989334i | \(-0.546532\pi\) | |||||||
\(762\) | −1.91023 | + | 5.87909i | −0.0692004 | + | 0.212977i | ||||
\(763\) | −1.61950 | + | 4.98432i | −0.0586299 | + | 0.180444i | ||||
\(764\) | −2.78818 | − | 8.58114i | −0.100873 | − | 0.310455i | ||||
\(765\) | −22.4988 | − | 11.6412i | −0.813446 | − | 0.420889i | ||||
\(766\) | −0.993131 | + | 3.05654i | −0.0358833 | + | 0.110437i | ||||
\(767\) | 34.5464 | + | 25.0994i | 1.24740 | + | 0.906287i | ||||
\(768\) | 0.414028 | 0.0149399 | ||||||||
\(769\) | 8.29513 | + | 6.02677i | 0.299130 | + | 0.217331i | 0.727218 | − | 0.686406i | \(-0.240813\pi\) |
−0.428088 | + | 0.903737i | \(0.640813\pi\) | |||||||
\(770\) | 16.1571 | + | 8.35992i | 0.582261 | + | 0.301271i | ||||
\(771\) | −5.50180 | + | 3.99729i | −0.198142 | + | 0.143959i | ||||
\(772\) | 20.8273 | − | 15.1319i | 0.749590 | − | 0.544609i | ||||
\(773\) | 12.7386 | + | 39.2054i | 0.458176 | + | 1.41012i | 0.867366 | + | 0.497671i | \(0.165811\pi\) |
−0.409190 | + | 0.912449i | \(0.634189\pi\) | |||||||
\(774\) | 0.456227 | 0.0163987 | ||||||||
\(775\) | −5.41269 | + | 1.68426i | −0.194429 | + | 0.0605006i | ||||
\(776\) | −0.653814 | −0.0234705 | ||||||||
\(777\) | 1.23670 | + | 3.80616i | 0.0443662 | + | 0.136545i | ||||
\(778\) | 18.0182 | − | 13.0910i | 0.645983 | − | 0.469334i | ||||
\(779\) | −6.09276 | + | 4.42665i | −0.218296 | + | 0.158601i | ||||
\(780\) | −0.615328 | + | 3.73399i | −0.0220323 | + | 0.133698i | ||||
\(781\) | 9.68774 | + | 7.03855i | 0.346654 | + | 0.251859i | ||||
\(782\) | 6.39237 | 0.228591 | ||||||||
\(783\) | 1.79336 | + | 1.30295i | 0.0640895 | + | 0.0465637i | ||||
\(784\) | −0.126244 | + | 0.388541i | −0.00450873 | + | 0.0138764i | ||||
\(785\) | 9.79386 | + | 19.5219i | 0.349558 | + | 0.696766i | ||||
\(786\) | −2.17727 | − | 6.70093i | −0.0776605 | − | 0.239014i | ||||
\(787\) | 15.6895 | − | 48.2873i | 0.559270 | − | 1.72126i | −0.125120 | − | 0.992142i | \(-0.539932\pi\) |
0.684391 | − | 0.729115i | \(-0.260068\pi\) | |||||||
\(788\) | −4.43123 | + | 13.6379i | −0.157856 | + | 0.485830i | ||||
\(789\) | 0.526454 | + | 1.62026i | 0.0187423 | + | 0.0576827i | ||||
\(790\) | 3.96448 | − | 24.0577i | 0.141050 | − | 0.855933i | ||||
\(791\) | 7.97158 | − | 24.5340i | 0.283437 | − | 0.872329i | ||||
\(792\) | −7.25145 | − | 5.26849i | −0.257669 | − | 0.187208i | ||||
\(793\) | −9.48853 | −0.336948 | ||||||||
\(794\) | 14.7750 | + | 10.7347i | 0.524346 | + | 0.380960i | ||||
\(795\) | −0.114860 | + | 0.0174576i | −0.00407366 | + | 0.000619158i | ||||
\(796\) | −13.8825 | + | 10.0862i | −0.492052 | + | 0.357497i | ||||
\(797\) | −19.7262 | + | 14.3319i | −0.698739 | + | 0.507664i | −0.879521 | − | 0.475860i | \(-0.842137\pi\) |
0.180782 | + | 0.983523i | \(0.442137\pi\) | |||||||
\(798\) | −0.328475 | − | 1.01094i | −0.0116279 | − | 0.0357870i | ||||
\(799\) | −11.7542 | −0.415834 | ||||||||
\(800\) | −2.98921 | + | 4.00807i | −0.105684 | + | 0.141707i | ||||
\(801\) | 7.90761 | 0.279402 | ||||||||
\(802\) | −3.02124 | − | 9.29843i | −0.106684 | − | 0.328339i | ||||
\(803\) | 19.8593 | − | 14.4287i | 0.700821 | − | 0.509176i | ||||
\(804\) | −1.33047 | + | 0.966641i | −0.0469220 | + | 0.0340908i | ||||
\(805\) | 6.51929 | − | 6.43839i | 0.229775 | − | 0.226923i | ||||
\(806\) | −3.74927 | − | 2.72400i | −0.132062 | − | 0.0959490i | ||||
\(807\) | 6.17066 | 0.217217 | ||||||||
\(808\) | −14.2967 | − | 10.3871i | −0.502954 | − | 0.365418i | ||||
\(809\) | −13.4739 | + | 41.4682i | −0.473715 | + | 1.45795i | 0.373967 | + | 0.927442i | \(0.377997\pi\) |
−0.847682 | + | 0.530504i | \(0.822003\pi\) | |||||||
\(810\) | 16.5505 | − | 2.51552i | 0.581525 | − | 0.0883864i | ||||
\(811\) | −15.7507 | − | 48.4757i | −0.553082 | − | 1.70221i | −0.700955 | − | 0.713206i | \(-0.747243\pi\) |
0.147873 | − | 0.989006i | \(-0.452757\pi\) | |||||||
\(812\) | 0.728771 | − | 2.24293i | 0.0255748 | − | 0.0787113i | ||||
\(813\) | 2.08891 | − | 6.42899i | 0.0732611 | − | 0.225475i | ||||
\(814\) | −3.68673 | − | 11.3466i | −0.129220 | − | 0.397698i | ||||
\(815\) | 40.2648 | − | 6.11987i | 1.41041 | − | 0.214370i | ||||
\(816\) | −0.512423 | + | 1.57708i | −0.0179384 | + | 0.0552087i | ||||
\(817\) | −0.130488 | − | 0.0948050i | −0.00456519 | − | 0.00331681i | ||||
\(818\) | −23.1820 | −0.810539 | ||||||||
\(819\) | −24.0157 | − | 17.4484i | −0.839175 | − | 0.609696i | ||||
\(820\) | 11.9818 | − | 11.8331i | 0.418422 | − | 0.413229i | ||||
\(821\) | 32.6693 | − | 23.7356i | 1.14017 | − | 0.828379i | 0.153023 | − | 0.988223i | \(-0.451099\pi\) |
0.987142 | + | 0.159844i | \(0.0510992\pi\) | |||||||
\(822\) | −7.21919 | + | 5.24505i | −0.251798 | + | 0.182942i | ||||
\(823\) | 9.55758 | + | 29.4152i | 0.333156 | + | 1.02535i | 0.967623 | + | 0.252400i | \(0.0812198\pi\) |
−0.634467 | + | 0.772950i | \(0.718780\pi\) | |||||||
\(824\) | 6.24352 | 0.217503 | ||||||||
\(825\) | −6.26367 | + | 1.94906i | −0.218073 | + | 0.0678577i | ||||
\(826\) | 26.8200 | 0.933187 | ||||||||
\(827\) | −11.2948 | − | 34.7617i | −0.392758 | − | 1.20878i | −0.930694 | − | 0.365799i | \(-0.880796\pi\) |
0.537936 | − | 0.842986i | \(-0.319204\pi\) | |||||||
\(828\) | −3.65234 | + | 2.65358i | −0.126927 | + | 0.0922182i | ||||
\(829\) | 10.3744 | − | 7.53744i | 0.360318 | − | 0.261786i | −0.392867 | − | 0.919595i | \(-0.628517\pi\) |
0.753185 | + | 0.657809i | \(0.228517\pi\) | |||||||
\(830\) | −4.42537 | + | 0.672615i | −0.153607 | + | 0.0233468i | ||||
\(831\) | −0.675474 | − | 0.490761i | −0.0234319 | − | 0.0170243i | ||||
\(832\) | −4.08768 | −0.141715 | ||||||||
\(833\) | −1.32375 | − | 0.961758i | −0.0458651 | − | 0.0333229i | ||||
\(834\) | 2.12031 | − | 6.52564i | 0.0734203 | − | 0.225965i | ||||
\(835\) | −4.51110 | + | 27.3747i | −0.156113 | + | 0.947340i | ||||
\(836\) | 0.979222 | + | 3.01373i | 0.0338671 | + | 0.104232i | ||||
\(837\) | 0.845447 | − | 2.60202i | 0.0292229 | − | 0.0899389i | ||||
\(838\) | 3.45129 | − | 10.6220i | 0.119223 | − | 0.366930i | ||||
\(839\) | 1.31672 | + | 4.05244i | 0.0454582 | + | 0.139906i | 0.971209 | − | 0.238227i | \(-0.0765662\pi\) |
−0.925751 | + | 0.378133i | \(0.876566\pi\) | |||||||
\(840\) | 1.06583 | + | 2.12450i | 0.0367747 | + | 0.0733023i | ||||
\(841\) | −8.70075 | + | 26.7781i | −0.300026 | + | 0.923384i | ||||
\(842\) | −28.0081 | − | 20.3491i | −0.965222 | − | 0.701275i | ||||
\(843\) | 1.19713 | 0.0412314 | ||||||||
\(844\) | −3.41165 | − | 2.47871i | −0.117434 | − | 0.0853207i | ||||
\(845\) | 1.34857 | − | 8.18355i | 0.0463924 | − | 0.281523i | ||||
\(846\) | 6.71587 | − | 4.87937i | 0.230896 | − | 0.167756i | ||||
\(847\) | 1.99092 | − | 1.44649i | 0.0684089 | − | 0.0497020i | ||||
\(848\) | −0.0387789 | − | 0.119349i | −0.00133167 | − | 0.00409847i | ||||
\(849\) | −2.83564 | −0.0973188 | ||||||||
\(850\) | −11.5676 | − | 16.3468i | −0.396765 | − | 0.560691i | ||||
\(851\) | −6.00904 | −0.205987 | ||||||||
\(852\) | 0.483479 | + | 1.48800i | 0.0165637 | + | 0.0509779i | ||||
\(853\) | 40.5945 | − | 29.4937i | 1.38993 | − | 1.00984i | 0.394057 | − | 0.919086i | \(-0.371071\pi\) |
0.995873 | − | 0.0907577i | \(-0.0289289\pi\) | |||||||
\(854\) | −4.82137 | + | 3.50293i | −0.164984 | + | 0.119868i | ||||
\(855\) | −5.61749 | − | 2.90657i | −0.192114 | − | 0.0994027i | ||||
\(856\) | −7.75740 | − | 5.63608i | −0.265143 | − | 0.192637i | ||||
\(857\) | −16.0665 | −0.548822 | −0.274411 | − | 0.961612i | \(-0.588483\pi\) | ||||
−0.274411 | + | 0.961612i | \(0.588483\pi\) | |||||||
\(858\) | −4.33873 | − | 3.15227i | −0.148122 | − | 0.107617i | ||||
\(859\) | 7.37241 | − | 22.6899i | 0.251543 | − | 0.774171i | −0.742948 | − | 0.669350i | \(-0.766573\pi\) |
0.994491 | − | 0.104821i | \(-0.0334271\pi\) | |||||||
\(860\) | 0.320322 | + | 0.165739i | 0.0109229 | + | 0.00565166i | ||||
\(861\) | −2.47377 | − | 7.61348i | −0.0843058 | − | 0.259467i | ||||
\(862\) | 9.85205 | − | 30.3215i | 0.335562 | − | 1.03275i | ||||
\(863\) | 10.0440 | − | 30.9122i | 0.341901 | − | 1.05226i | −0.621321 | − | 0.783556i | \(-0.713404\pi\) |
0.963222 | − | 0.268707i | \(-0.0865964\pi\) | |||||||
\(864\) | −0.745718 | − | 2.29508i | −0.0253698 | − | 0.0780803i | ||||
\(865\) | 5.88271 | − | 5.80971i | 0.200018 | − | 0.197536i | ||||
\(866\) | 7.55705 | − | 23.2582i | 0.256799 | − | 0.790346i | ||||
\(867\) | 0.321189 | + | 0.233357i | 0.0109081 | + | 0.00792523i | ||||
\(868\) | −2.91074 | −0.0987968 | ||||||||
\(869\) | 27.9539 | + | 20.3097i | 0.948272 | + | 0.688960i | ||||
\(870\) | 0.381343 | + | 0.760123i | 0.0129287 | + | 0.0257706i | ||||
\(871\) | 13.1357 | − | 9.54363i | 0.445085 | − | 0.323373i | ||||
\(872\) | 1.65145 | − | 1.19985i | 0.0559252 | − | 0.0406321i | ||||
\(873\) | 0.571485 | + | 1.75885i | 0.0193418 | + | 0.0595281i | ||||
\(874\) | 1.59604 | 0.0539870 | ||||||||
\(875\) | −28.2618 | − | 5.02053i | −0.955422 | − | 0.169725i | ||||
\(876\) | 3.20729 | 0.108364 | ||||||||
\(877\) | 7.55445 | + | 23.2502i | 0.255096 | + | 0.785104i | 0.993811 | + | 0.111086i | \(0.0354329\pi\) |
−0.738715 | + | 0.674018i | \(0.764567\pi\) | |||||||
\(878\) | 21.5676 | − | 15.6698i | 0.727871 | − | 0.528829i | ||||
\(879\) | −1.90752 | + | 1.38589i | −0.0643389 | + | 0.0467449i | ||||
\(880\) | −3.17737 | − | 6.33338i | −0.107109 | − | 0.213498i | ||||
\(881\) | 8.18440 | + | 5.94632i | 0.275740 | + | 0.200336i | 0.717057 | − | 0.697015i | \(-0.245489\pi\) |
−0.441317 | + | 0.897351i | \(0.645489\pi\) | |||||||
\(882\) | 1.15558 | 0.0389103 | ||||||||
\(883\) | 24.8709 | + | 18.0698i | 0.836973 | + | 0.608097i | 0.921524 | − | 0.388322i | \(-0.126945\pi\) |
−0.0845501 | + | 0.996419i | \(0.526945\pi\) | |||||||
\(884\) | 5.05914 | − | 15.5704i | 0.170157 | − | 0.523690i | ||||
\(885\) | −6.88116 | + | 6.79577i | −0.231308 | + | 0.228437i | ||||
\(886\) | −8.79896 | − | 27.0804i | −0.295607 | − | 0.909784i | ||||
\(887\) | −11.5350 | + | 35.5010i | −0.387306 | + | 1.19201i | 0.547487 | + | 0.836814i | \(0.315585\pi\) |
−0.934793 | + | 0.355192i | \(0.884415\pi\) | |||||||
\(888\) | 0.481695 | − | 1.48250i | 0.0161646 | − | 0.0497496i | ||||
\(889\) | −11.8454 | − | 36.4562i | −0.397280 | − | 1.22270i | ||||
\(890\) | 5.55201 | + | 2.87269i | 0.186104 | + | 0.0962929i | ||||
\(891\) | −7.33106 | + | 22.5627i | −0.245600 | + | 0.755878i | ||||
\(892\) | 6.94756 | + | 5.04769i | 0.232621 | + | 0.169009i | ||||
\(893\) | −2.93478 | −0.0982088 | ||||||||
\(894\) | −6.19438 | − | 4.50048i | −0.207171 | − | 0.150519i | ||||
\(895\) | 13.9751 | + | 7.23095i | 0.467137 | + | 0.241704i | ||||
\(896\) | −2.07706 | + | 1.50907i | −0.0693896 | + | 0.0504145i | ||||
\(897\) | −2.18529 | + | 1.58770i | −0.0729646 | + | 0.0530119i | ||||
\(898\) | −4.60485 | − | 14.1723i | −0.153666 | − | 0.472934i | ||||
\(899\) | −1.04143 | −0.0347336 | ||||||||
\(900\) | 13.3951 | + | 4.53801i | 0.446503 | + | 0.151267i | ||||
\(901\) | 0.502609 | 0.0167443 | ||||||||
\(902\) | 7.37458 | + | 22.6966i | 0.245547 | + | 0.755715i | ||||
\(903\) | 0.138704 | − | 0.100775i | 0.00461580 | − | 0.00335357i | ||||
\(904\) | −8.12884 | + | 5.90595i | −0.270361 | + | 0.196429i | ||||
\(905\) | −5.23371 | + | 31.7597i | −0.173974 | + | 1.05573i | ||||
\(906\) | −5.11436 | − | 3.71580i | −0.169913 | − | 0.123449i | ||||
\(907\) | −20.8307 | −0.691673 | −0.345836 | − | 0.938295i | \(-0.612405\pi\) | ||||
−0.345836 | + | 0.938295i | \(0.612405\pi\) | |||||||
\(908\) | 19.5413 | + | 14.1976i | 0.648500 | + | 0.471163i | ||||
\(909\) | −15.4464 | + | 47.5392i | −0.512325 | + | 1.57677i | ||||
\(910\) | −10.5229 | − | 20.9751i | −0.348832 | − | 0.695319i | ||||
\(911\) | −18.0348 | − | 55.5055i | −0.597521 | − | 1.83898i | −0.541755 | − | 0.840536i | \(-0.682240\pi\) |
−0.0557658 | − | 0.998444i | \(-0.517760\pi\) | |||||||
\(912\) | −0.127942 | + | 0.393764i | −0.00423657 | + | 0.0130388i | ||||
\(913\) | 1.96022 | − | 6.03294i | 0.0648739 | − | 0.199661i | ||||
\(914\) | 9.39248 | + | 28.9071i | 0.310676 | + | 0.956161i | ||||
\(915\) | 0.349423 | − | 2.12040i | 0.0115516 | − | 0.0700983i | ||||
\(916\) | 6.86249 | − | 21.1206i | 0.226743 | − | 0.697843i | ||||
\(917\) | 35.3467 | + | 25.6808i | 1.16725 | + | 0.848056i | ||||
\(918\) | 9.66516 | 0.318998 | ||||||||
\(919\) | −24.9872 | − | 18.1542i | −0.824250 | − | 0.598853i | 0.0936765 | − | 0.995603i | \(-0.470138\pi\) |
−0.917927 | + | 0.396750i | \(0.870138\pi\) | |||||||
\(920\) | −3.52834 | + | 0.536275i | −0.116326 | + | 0.0176804i | ||||
\(921\) | 1.40431 | − | 1.02029i | 0.0462737 | − | 0.0336198i | ||||
\(922\) | −5.20068 | + | 3.77851i | −0.171275 | + | 0.124439i | ||||
\(923\) | −4.77338 | − | 14.6909i | −0.157118 | − | 0.483558i | ||||
\(924\) | −3.36836 | −0.110811 | ||||||||
\(925\) | 10.8739 | + | 15.3666i | 0.357532 | + | 0.505249i | ||||
\(926\) | 8.20950 | 0.269781 | ||||||||
\(927\) | −5.45733 | − | 16.7959i | −0.179242 | − | 0.551651i | ||||
\(928\) | −0.743148 | + | 0.539929i | −0.0243950 | + | 0.0177240i | ||||
\(929\) | −38.7058 | + | 28.1214i | −1.26990 | + | 0.922634i | −0.999198 | − | 0.0400303i | \(-0.987255\pi\) |
−0.270698 | + | 0.962664i | \(0.587255\pi\) | |||||||
\(930\) | 0.746803 | − | 0.737535i | 0.0244886 | − | 0.0241847i | ||||
\(931\) | −0.330512 | − | 0.240131i | −0.0108321 | − | 0.00786999i | ||||
\(932\) | 9.88088 | 0.323659 | ||||||||
\(933\) | 7.67939 | + | 5.57941i | 0.251412 | + | 0.182662i | ||||
\(934\) | 1.15371 | − | 3.55077i | 0.0377507 | − | 0.116185i | ||||
\(935\) | 28.0570 | − | 4.26440i | 0.917562 | − | 0.139461i | ||||
\(936\) | 3.57296 | + | 10.9964i | 0.116786 | + | 0.359430i | ||||
\(937\) | 0.941317 | − | 2.89708i | 0.0307515 | − | 0.0946434i | −0.934503 | − | 0.355956i | \(-0.884155\pi\) |
0.965254 | + | 0.261313i | \(0.0841553\pi\) | |||||||
\(938\) | 3.15131 | − | 9.69873i | 0.102894 | − | 0.316675i | ||||
\(939\) | −1.48788 | − | 4.57921i | −0.0485550 | − | 0.149437i | ||||
\(940\) | 6.48787 | − | 0.986095i | 0.211611 | − | 0.0321629i | ||||
\(941\) | 9.83503 | − | 30.2691i | 0.320613 | − | 0.986745i | −0.652769 | − | 0.757557i | \(-0.726393\pi\) |
0.973382 | − | 0.229188i | \(-0.0736071\pi\) | |||||||
\(942\) | −3.27169 | − | 2.37702i | −0.106597 | − | 0.0774475i | ||||
\(943\) | 12.0199 | 0.391422 | ||||||||
\(944\) | −8.45133 | − | 6.14025i | −0.275068 | − | 0.199848i | ||||
\(945\) | 9.85707 | − | 9.73474i | 0.320650 | − | 0.316671i | ||||
\(946\) | −0.413494 | + | 0.300421i | −0.0134438 | + | 0.00976752i | ||||
\(947\) | −1.08486 | + | 0.788196i | −0.0352532 | + | 0.0256129i | −0.605272 | − | 0.796018i | \(-0.706936\pi\) |
0.570019 | + | 0.821631i | \(0.306936\pi\) | |||||||
\(948\) | 1.39508 | + | 4.29360i | 0.0453100 | + | 0.139450i | ||||
\(949\) | −31.6655 | −1.02790 | ||||||||
\(950\) | −2.88819 | − | 4.08147i | −0.0937052 | − | 0.132420i | ||||
\(951\) | −2.02521 | −0.0656720 | ||||||||
\(952\) | −3.17754 | − | 9.77945i | −0.102985 | − | 0.316954i | ||||
\(953\) | −1.75542 | + | 1.27538i | −0.0568635 | + | 0.0413138i | −0.615854 | − | 0.787860i | \(-0.711189\pi\) |
0.558990 | + | 0.829174i | \(0.311189\pi\) | |||||||
\(954\) | −0.287170 | + | 0.208642i | −0.00929749 | + | 0.00675502i | ||||
\(955\) | −19.9464 | + | 3.03167i | −0.645450 | + | 0.0981024i | ||||
\(956\) | −20.7772 | − | 15.0955i | −0.671983 | − | 0.488224i | ||||
\(957\) | −1.20516 | −0.0389574 | ||||||||
\(958\) | 8.06106 | + | 5.85670i | 0.260441 | + | 0.189222i | ||||
\(959\) | 17.0992 | − | 52.6258i | 0.552160 | − | 1.69938i | ||||
\(960\) | 0.150532 | − | 0.913474i | 0.00485840 | − | 0.0294822i | ||||
\(961\) | −9.18233 | − | 28.2603i | −0.296204 | − | 0.911623i | ||||
\(962\) | −4.75576 | + | 14.6367i | −0.153332 | + | 0.471907i | ||||
\(963\) | −8.38127 | + | 25.7949i | −0.270083 | + | 0.831229i | ||||
\(964\) | 2.77005 | + | 8.52533i | 0.0892172 | + | 0.274582i | ||||
\(965\) | −25.8133 | − | 51.4531i | −0.830960 | − | 1.65633i | ||||
\(966\) | −0.524260 | + | 1.61351i | −0.0168678 | + | 0.0519138i | ||||
\(967\) | 7.75628 | + | 5.63527i | 0.249425 | + | 0.181218i | 0.705472 | − | 0.708738i | \(-0.250735\pi\) |
−0.456047 | + | 0.889956i | \(0.650735\pi\) | |||||||
\(968\) | −0.958530 | −0.0308083 | ||||||||
\(969\) | −1.34154 | − | 0.974687i | −0.0430965 | − | 0.0313114i | ||||
\(970\) | −0.237714 | + | 1.44252i | −0.00763252 | + | 0.0463164i | ||||
\(971\) | 10.0635 | − | 7.31154i | 0.322952 | − | 0.234638i | −0.414482 | − | 0.910057i | \(-0.636037\pi\) |
0.737434 | + | 0.675419i | \(0.236037\pi\) | |||||||
\(972\) | −8.36462 | + | 6.07726i | −0.268295 | + | 0.194928i | ||||
\(973\) | 13.1480 | + | 40.4655i | 0.421507 | + | 1.29726i | ||||
\(974\) | 9.94847 | 0.318769 | ||||||||
\(975\) | 8.01463 | + | 2.71521i | 0.256673 | + | 0.0869563i | ||||
\(976\) | 2.32125 | 0.0743014 | ||||||||
\(977\) | 5.15295 | + | 15.8591i | 0.164857 | + | 0.507379i | 0.999026 | − | 0.0441309i | \(-0.0140519\pi\) |
−0.834168 | + | 0.551510i | \(0.814052\pi\) | |||||||
\(978\) | −6.10079 | + | 4.43249i | −0.195082 | + | 0.141735i | ||||
\(979\) | −7.16693 | + | 5.20708i | −0.229056 | + | 0.166419i | ||||
\(980\) | 0.811342 | + | 0.419800i | 0.0259174 | + | 0.0134100i | ||||
\(981\) | −4.67127 | − | 3.39387i | −0.149142 | − | 0.108358i | ||||
\(982\) | −22.1752 | −0.707640 | ||||||||
\(983\) | −5.44304 | − | 3.95460i | −0.173606 | − | 0.126132i | 0.497589 | − | 0.867413i | \(-0.334219\pi\) |
−0.671195 | + | 0.741281i | \(0.734219\pi\) | |||||||
\(984\) | −0.963536 | + | 2.96546i | −0.0307164 | + | 0.0945354i | ||||
\(985\) | 28.4784 | + | 14.7351i | 0.907396 | + | 0.469500i | ||||
\(986\) | −1.13689 | − | 3.49898i | −0.0362058 | − | 0.111430i | ||||
\(987\) | 0.964004 | − | 2.96690i | 0.0306846 | − | 0.0944374i | ||||
\(988\) | 1.26316 | − | 3.88762i | 0.0401866 | − | 0.123682i | ||||
\(989\) | 0.0795499 | + | 0.244829i | 0.00252954 | + | 0.00778512i | ||||
\(990\) | −14.2604 | + | 14.0834i | −0.453225 | + | 0.447601i | ||||
\(991\) | −14.3798 | + | 44.2563i | −0.456788 | + | 1.40585i | 0.412235 | + | 0.911078i | \(0.364748\pi\) |
−0.869023 | + | 0.494772i | \(0.835252\pi\) | |||||||
\(992\) | 0.917212 | + | 0.666393i | 0.0291215 | + | 0.0211580i | ||||
\(993\) | −11.7034 | −0.371395 | ||||||||
\(994\) | −7.84900 | − | 5.70264i | −0.248955 | − | 0.180877i | ||||
\(995\) | 17.2059 | + | 34.2963i | 0.545465 | + | 1.08726i | ||||
\(996\) | 0.670519 | − | 0.487161i | 0.0212462 | − | 0.0154363i | ||||
\(997\) | 46.2409 | − | 33.5960i | 1.46446 | − | 1.06399i | 0.482291 | − | 0.876011i | \(-0.339805\pi\) |
0.982172 | − | 0.187983i | \(-0.0601951\pi\) | |||||||
\(998\) | −5.43024 | − | 16.7126i | −0.171891 | − | 0.529027i | ||||
\(999\) | −9.08558 | −0.287455 |
(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 | 950.2.h.c.381.6 | ✓ | 44 | |
25.21 | even | 5 | inner | 950.2.h.c.571.6 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.h.c.381.6 | ✓ | 44 | 1.1 | even | 1 | trivial | |
950.2.h.c.571.6 | yes | 44 | 25.21 | even | 5 | inner |