Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 421.3 | ||
Character | \(\chi\) | \(=\) | 930.421 |
Dual form | 930.2.bg.i.391.3 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{13}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | − | 0.587785i | 0.572061 | − | 0.415627i | ||||
\(3\) | 0.913545 | − | 0.406737i | 0.527436 | − | 0.234830i | ||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 0.500000 | − | 0.866025i | 0.204124 | − | 0.353553i | ||||
\(7\) | 1.17471 | + | 1.30465i | 0.443998 | + | 0.493109i | 0.923052 | − | 0.384676i | \(-0.125687\pi\) |
−0.479054 | + | 0.877785i | \(0.659020\pi\) | |||||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | 0.669131 | − | 0.743145i | 0.223044 | − | 0.247715i | ||||
\(10\) | 0.913545 | + | 0.406737i | 0.288888 | + | 0.128621i | ||||
\(11\) | 2.60047 | − | 0.552747i | 0.784072 | − | 0.166660i | 0.201554 | − | 0.979477i | \(-0.435401\pi\) |
0.582518 | + | 0.812818i | \(0.302068\pi\) | |||||||
\(12\) | −0.104528 | − | 0.994522i | −0.0301748 | − | 0.287094i | ||||
\(13\) | −0.429483 | + | 4.08626i | −0.119117 | + | 1.13332i | 0.757734 | + | 0.652563i | \(0.226306\pi\) |
−0.876851 | + | 0.480761i | \(0.840360\pi\) | |||||||
\(14\) | 1.71721 | + | 0.365004i | 0.458944 | + | 0.0975515i | ||||
\(15\) | 0.809017 | + | 0.587785i | 0.208887 | + | 0.151765i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 2.56069 | + | 0.544291i | 0.621058 | + | 0.132010i | 0.507685 | − | 0.861543i | \(-0.330501\pi\) |
0.113373 | + | 0.993553i | \(0.463835\pi\) | |||||||
\(18\) | 0.104528 | − | 0.994522i | 0.0246376 | − | 0.234411i | ||||
\(19\) | −0.494568 | − | 4.70550i | −0.113462 | − | 1.07952i | −0.892036 | − | 0.451964i | \(-0.850724\pi\) |
0.778575 | − | 0.627552i | \(-0.215943\pi\) | |||||||
\(20\) | 0.978148 | − | 0.207912i | 0.218720 | − | 0.0464905i | ||||
\(21\) | 1.60380 | + | 0.714056i | 0.349977 | + | 0.155820i | ||||
\(22\) | 1.77893 | − | 1.97570i | 0.379269 | − | 0.421221i | ||||
\(23\) | 0.937331 | + | 2.88481i | 0.195447 | + | 0.601524i | 0.999971 | + | 0.00760400i | \(0.00242045\pi\) |
−0.804524 | + | 0.593920i | \(0.797580\pi\) | |||||||
\(24\) | −0.669131 | − | 0.743145i | −0.136586 | − | 0.151694i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 2.05438 | + | 3.55830i | 0.402898 | + | 0.697840i | ||||
\(27\) | 0.309017 | − | 0.951057i | 0.0594703 | − | 0.183031i | ||||
\(28\) | 1.60380 | − | 0.714056i | 0.303089 | − | 0.134944i | ||||
\(29\) | −0.912652 | + | 0.663081i | −0.169475 | + | 0.123131i | −0.669290 | − | 0.743002i | \(-0.733402\pi\) |
0.499815 | + | 0.866132i | \(0.333402\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 3.41847 | − | 4.39478i | 0.613976 | − | 0.789325i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 2.15083 | − | 1.56267i | 0.374411 | − | 0.272025i | ||||
\(34\) | 2.39157 | − | 1.06479i | 0.410150 | − | 0.182611i | ||||
\(35\) | −0.542502 | + | 1.66965i | −0.0916996 | + | 0.282222i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | −2.01166 | + | 3.48430i | −0.330715 | + | 0.572815i | −0.982652 | − | 0.185458i | \(-0.940623\pi\) |
0.651937 | + | 0.758273i | \(0.273957\pi\) | |||||||
\(38\) | −3.16594 | − | 3.51613i | −0.513583 | − | 0.570392i | ||||
\(39\) | 1.26968 | + | 3.90767i | 0.203311 | + | 0.625728i | ||||
\(40\) | 0.669131 | − | 0.743145i | 0.105799 | − | 0.117502i | ||||
\(41\) | −4.47475 | − | 1.99229i | −0.698838 | − | 0.311143i | 0.0263896 | − | 0.999652i | \(-0.491599\pi\) |
−0.725228 | + | 0.688509i | \(0.758266\pi\) | |||||||
\(42\) | 1.71721 | − | 0.365004i | 0.264971 | − | 0.0563214i | ||||
\(43\) | −0.639276 | − | 6.08230i | −0.0974886 | − | 0.927542i | −0.928511 | − | 0.371304i | \(-0.878911\pi\) |
0.831023 | − | 0.556238i | \(-0.187756\pi\) | |||||||
\(44\) | 0.277896 | − | 2.64400i | 0.0418944 | − | 0.398599i | ||||
\(45\) | 0.978148 | + | 0.207912i | 0.145814 | + | 0.0309936i | ||||
\(46\) | 2.45396 | + | 1.78291i | 0.361817 | + | 0.262876i | ||||
\(47\) | 1.96458 | + | 1.42735i | 0.286564 | + | 0.208201i | 0.721775 | − | 0.692127i | \(-0.243326\pi\) |
−0.435211 | + | 0.900328i | \(0.643326\pi\) | |||||||
\(48\) | −0.978148 | − | 0.207912i | −0.141183 | − | 0.0300095i | ||||
\(49\) | 0.409539 | − | 3.89650i | 0.0585055 | − | 0.556643i | ||||
\(50\) | 0.104528 | + | 0.994522i | 0.0147826 | + | 0.140647i | ||||
\(51\) | 2.56069 | − | 0.544291i | 0.358568 | − | 0.0762160i | ||||
\(52\) | 3.75355 | + | 1.67119i | 0.520523 | + | 0.231752i | ||||
\(53\) | 2.35411 | − | 2.61450i | 0.323361 | − | 0.359129i | −0.559444 | − | 0.828868i | \(-0.688985\pi\) |
0.882805 | + | 0.469739i | \(0.155652\pi\) | |||||||
\(54\) | −0.309017 | − | 0.951057i | −0.0420519 | − | 0.129422i | ||||
\(55\) | 1.77893 | + | 1.97570i | 0.239871 | + | 0.266404i | ||||
\(56\) | 0.877787 | − | 1.52037i | 0.117299 | − | 0.203168i | ||||
\(57\) | −2.36571 | − | 4.09753i | −0.313346 | − | 0.542731i | ||||
\(58\) | −0.348602 | + | 1.07289i | −0.0457737 | + | 0.140877i | ||||
\(59\) | −12.1313 | + | 5.40121i | −1.57936 | + | 0.703177i | −0.994181 | − | 0.107726i | \(-0.965643\pi\) |
−0.585181 | + | 0.810903i | \(0.698976\pi\) | |||||||
\(60\) | 0.809017 | − | 0.587785i | 0.104444 | − | 0.0758827i | ||||
\(61\) | 2.77777 | 0.355657 | 0.177828 | − | 0.984062i | \(-0.443093\pi\) | ||||
0.177828 | + | 0.984062i | \(0.443093\pi\) | |||||||
\(62\) | 0.182418 | − | 5.56478i | 0.0231671 | − | 0.706727i | ||||
\(63\) | 1.75557 | 0.221181 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −3.75355 | + | 1.67119i | −0.465570 | + | 0.207285i | ||||
\(66\) | 0.821543 | − | 2.52845i | 0.101125 | − | 0.311231i | ||||
\(67\) | 1.91497 | + | 3.31682i | 0.233951 | + | 0.405214i | 0.958967 | − | 0.283517i | \(-0.0915012\pi\) |
−0.725017 | + | 0.688731i | \(0.758168\pi\) | |||||||
\(68\) | 1.30895 | − | 2.26716i | 0.158733 | − | 0.274934i | ||||
\(69\) | 2.02965 | + | 2.25416i | 0.244341 | + | 0.271369i | ||||
\(70\) | 0.542502 | + | 1.66965i | 0.0648414 | + | 0.199561i | ||||
\(71\) | −0.453372 | + | 0.503520i | −0.0538053 | + | 0.0597569i | −0.769447 | − | 0.638711i | \(-0.779468\pi\) |
0.715641 | + | 0.698468i | \(0.246135\pi\) | |||||||
\(72\) | −0.913545 | − | 0.406737i | −0.107662 | − | 0.0479344i | ||||
\(73\) | −3.03533 | + | 0.645180i | −0.355259 | + | 0.0755126i | −0.382084 | − | 0.924127i | \(-0.624794\pi\) |
0.0268252 | + | 0.999640i | \(0.491460\pi\) | |||||||
\(74\) | 0.420552 | + | 4.00128i | 0.0488881 | + | 0.465140i | ||||
\(75\) | −0.104528 | + | 0.994522i | −0.0120699 | + | 0.114837i | ||||
\(76\) | −4.62803 | − | 0.983718i | −0.530871 | − | 0.112840i | ||||
\(77\) | 3.77593 | + | 2.74338i | 0.430308 | + | 0.312637i | ||||
\(78\) | 3.32406 | + | 2.41507i | 0.376376 | + | 0.273453i | ||||
\(79\) | −0.829909 | − | 0.176403i | −0.0933721 | − | 0.0198468i | 0.160989 | − | 0.986956i | \(-0.448532\pi\) |
−0.254361 | + | 0.967109i | \(0.581865\pi\) | |||||||
\(80\) | 0.104528 | − | 0.994522i | 0.0116866 | − | 0.111191i | ||||
\(81\) | −0.104528 | − | 0.994522i | −0.0116143 | − | 0.110502i | ||||
\(82\) | −4.79118 | + | 1.01840i | −0.529098 | + | 0.112463i | ||||
\(83\) | −7.09977 | − | 3.16102i | −0.779301 | − | 0.346967i | −0.0217674 | − | 0.999763i | \(-0.506929\pi\) |
−0.757534 | + | 0.652796i | \(0.773596\pi\) | |||||||
\(84\) | 1.17471 | − | 1.30465i | 0.128171 | − | 0.142348i | ||||
\(85\) | 0.808974 | + | 2.48977i | 0.0877455 | + | 0.270053i | ||||
\(86\) | −4.09227 | − | 4.54493i | −0.441281 | − | 0.490092i | ||||
\(87\) | −0.564050 | + | 0.976963i | −0.0604725 | + | 0.104741i | ||||
\(88\) | −1.32928 | − | 2.30239i | −0.141702 | − | 0.245435i | ||||
\(89\) | 0.0570948 | − | 0.175720i | 0.00605204 | − | 0.0186263i | −0.947985 | − | 0.318315i | \(-0.896883\pi\) |
0.954037 | + | 0.299689i | \(0.0968829\pi\) | |||||||
\(90\) | 0.913545 | − | 0.406737i | 0.0962961 | − | 0.0428738i | ||||
\(91\) | −5.83564 | + | 4.23984i | −0.611741 | + | 0.444456i | ||||
\(92\) | 3.03327 | 0.316240 | ||||||||
\(93\) | 1.33541 | − | 5.40524i | 0.138476 | − | 0.560498i | ||||
\(94\) | 2.42836 | 0.250466 | ||||||||
\(95\) | 3.82780 | − | 2.78106i | 0.392724 | − | 0.285331i | ||||
\(96\) | −0.913545 | + | 0.406737i | −0.0932383 | + | 0.0415124i | ||||
\(97\) | 2.90264 | − | 8.93340i | 0.294718 | − | 0.907050i | −0.688598 | − | 0.725144i | \(-0.741773\pi\) |
0.983316 | − | 0.181906i | \(-0.0582267\pi\) | |||||||
\(98\) | −1.95898 | − | 3.39306i | −0.197887 | − | 0.342750i | ||||
\(99\) | 1.32928 | − | 2.30239i | 0.133598 | − | 0.231399i | ||||
\(100\) | 0.669131 | + | 0.743145i | 0.0669131 | + | 0.0743145i | ||||
\(101\) | 4.51025 | + | 13.8811i | 0.448786 | + | 1.38122i | 0.878277 | + | 0.478151i | \(0.158693\pi\) |
−0.429491 | + | 0.903071i | \(0.641307\pi\) | |||||||
\(102\) | 1.75171 | − | 1.94547i | 0.173445 | − | 0.192631i | ||||
\(103\) | −9.78227 | − | 4.35535i | −0.963875 | − | 0.429145i | −0.136404 | − | 0.990653i | \(-0.543555\pi\) |
−0.827471 | + | 0.561508i | \(0.810221\pi\) | |||||||
\(104\) | 4.01898 | − | 0.854261i | 0.394094 | − | 0.0837672i | ||||
\(105\) | 0.183507 | + | 1.74596i | 0.0179085 | + | 0.170388i | ||||
\(106\) | 0.367748 | − | 3.49888i | 0.0357188 | − | 0.339842i | ||||
\(107\) | −2.82122 | − | 0.599669i | −0.272738 | − | 0.0579721i | 0.0695125 | − | 0.997581i | \(-0.477856\pi\) |
−0.342250 | + | 0.939609i | \(0.611189\pi\) | |||||||
\(108\) | −0.809017 | − | 0.587785i | −0.0778477 | − | 0.0565597i | ||||
\(109\) | −14.5040 | − | 10.5378i | −1.38923 | − | 1.00934i | −0.995949 | − | 0.0899217i | \(-0.971338\pi\) |
−0.393286 | − | 0.919416i | \(-0.628662\pi\) | |||||||
\(110\) | 2.60047 | + | 0.552747i | 0.247945 | + | 0.0527024i | ||||
\(111\) | −0.420552 | + | 4.00128i | −0.0399170 | + | 0.379785i | ||||
\(112\) | −0.183507 | − | 1.74596i | −0.0173398 | − | 0.164977i | ||||
\(113\) | −15.4972 | + | 3.29404i | −1.45786 | + | 0.309877i | −0.867569 | − | 0.497316i | \(-0.834319\pi\) |
−0.590287 | + | 0.807193i | \(0.700986\pi\) | |||||||
\(114\) | −4.32237 | − | 1.92444i | −0.404827 | − | 0.180241i | ||||
\(115\) | −2.02965 | + | 2.25416i | −0.189266 | + | 0.210201i | ||||
\(116\) | 0.348602 | + | 1.07289i | 0.0323669 | + | 0.0996150i | ||||
\(117\) | 2.74930 | + | 3.05341i | 0.254173 | + | 0.282288i | ||||
\(118\) | −6.63968 | + | 11.5003i | −0.611232 | + | 1.05869i | ||||
\(119\) | 2.29795 | + | 3.98017i | 0.210653 | + | 0.364862i | ||||
\(120\) | 0.309017 | − | 0.951057i | 0.0282093 | − | 0.0868192i | ||||
\(121\) | −3.59207 | + | 1.59929i | −0.326552 | + | 0.145390i | ||||
\(122\) | 2.24726 | − | 1.63273i | 0.203458 | − | 0.147821i | ||||
\(123\) | −4.89822 | −0.441658 | ||||||||
\(124\) | −3.12331 | − | 4.60922i | −0.280482 | − | 0.413920i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 1.42029 | − | 1.03190i | 0.126529 | − | 0.0919290i | ||||
\(127\) | 16.7816 | − | 7.47164i | 1.48912 | − | 0.663001i | 0.508888 | − | 0.860833i | \(-0.330057\pi\) |
0.980236 | + | 0.197832i | \(0.0633900\pi\) | |||||||
\(128\) | −0.309017 | + | 0.951057i | −0.0273135 | + | 0.0840623i | ||||
\(129\) | −3.05790 | − | 5.29644i | −0.269233 | − | 0.466326i | ||||
\(130\) | −2.05438 | + | 3.55830i | −0.180181 | + | 0.312083i | ||||
\(131\) | 8.72301 | + | 9.68789i | 0.762133 | + | 0.846435i | 0.991928 | − | 0.126805i | \(-0.0404721\pi\) |
−0.229795 | + | 0.973239i | \(0.573805\pi\) | |||||||
\(132\) | −0.821543 | − | 2.52845i | −0.0715061 | − | 0.220073i | ||||
\(133\) | 5.55804 | − | 6.17282i | 0.481943 | − | 0.535252i | ||||
\(134\) | 3.49882 | + | 1.55778i | 0.302252 | + | 0.134571i | ||||
\(135\) | 0.978148 | − | 0.207912i | 0.0841855 | − | 0.0178942i | ||||
\(136\) | −0.273645 | − | 2.60355i | −0.0234648 | − | 0.223253i | ||||
\(137\) | −0.949954 | + | 9.03821i | −0.0811600 | + | 0.772186i | 0.875938 | + | 0.482423i | \(0.160243\pi\) |
−0.957098 | + | 0.289763i | \(0.906423\pi\) | |||||||
\(138\) | 2.96698 | + | 0.630652i | 0.252566 | + | 0.0536846i | ||||
\(139\) | 2.80318 | + | 2.03663i | 0.237763 | + | 0.172745i | 0.700286 | − | 0.713863i | \(-0.253056\pi\) |
−0.462523 | + | 0.886607i | \(0.653056\pi\) | |||||||
\(140\) | 1.42029 | + | 1.03190i | 0.120036 | + | 0.0872115i | ||||
\(141\) | 2.37529 | + | 0.504884i | 0.200036 | + | 0.0425189i | ||||
\(142\) | −0.0708236 | + | 0.673842i | −0.00594339 | + | 0.0565475i | ||||
\(143\) | 1.14181 | + | 10.8636i | 0.0954830 | + | 0.908460i | ||||
\(144\) | −0.978148 | + | 0.207912i | −0.0815123 | + | 0.0173260i | ||||
\(145\) | −1.03057 | − | 0.458840i | −0.0855842 | − | 0.0381046i | ||||
\(146\) | −2.07641 | + | 2.30609i | −0.171845 | + | 0.190853i | ||||
\(147\) | −1.21072 | − | 3.72620i | −0.0998583 | − | 0.307332i | ||||
\(148\) | 2.69213 | + | 2.98991i | 0.221292 | + | 0.245769i | ||||
\(149\) | −8.78994 | + | 15.2246i | −0.720100 | + | 1.24725i | 0.240859 | + | 0.970560i | \(0.422571\pi\) |
−0.960959 | + | 0.276690i | \(0.910763\pi\) | |||||||
\(150\) | 0.500000 | + | 0.866025i | 0.0408248 | + | 0.0707107i | ||||
\(151\) | −2.65969 | + | 8.18568i | −0.216442 | + | 0.666141i | 0.782606 | + | 0.622518i | \(0.213890\pi\) |
−0.999048 | + | 0.0436235i | \(0.986110\pi\) | |||||||
\(152\) | −4.32237 | + | 1.92444i | −0.350590 | + | 0.156093i | ||||
\(153\) | 2.11792 | − | 1.53876i | 0.171224 | − | 0.124401i | ||||
\(154\) | 4.66731 | 0.376103 | ||||||||
\(155\) | 5.51522 | + | 0.763096i | 0.442993 | + | 0.0612933i | ||||
\(156\) | 4.10877 | 0.328965 | ||||||||
\(157\) | 4.53923 | − | 3.29794i | 0.362270 | − | 0.263204i | −0.391728 | − | 0.920081i | \(-0.628123\pi\) |
0.753998 | + | 0.656876i | \(0.228123\pi\) | |||||||
\(158\) | −0.775097 | + | 0.345096i | −0.0616634 | + | 0.0274543i | ||||
\(159\) | 1.08717 | − | 3.34597i | 0.0862182 | − | 0.265352i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −2.66256 | + | 4.61169i | −0.209839 | + | 0.363452i | ||||
\(162\) | −0.669131 | − | 0.743145i | −0.0525719 | − | 0.0583870i | ||||
\(163\) | 4.15869 | + | 12.7991i | 0.325734 | + | 1.00251i | 0.971108 | + | 0.238640i | \(0.0767015\pi\) |
−0.645374 | + | 0.763867i | \(0.723299\pi\) | |||||||
\(164\) | −3.27755 | + | 3.64009i | −0.255934 | + | 0.284243i | ||||
\(165\) | 2.42872 | + | 1.08134i | 0.189076 | + | 0.0841820i | ||||
\(166\) | −7.60184 | + | 1.61582i | −0.590017 | + | 0.125412i | ||||
\(167\) | 0.880827 | + | 8.38051i | 0.0681605 | + | 0.648503i | 0.974258 | + | 0.225435i | \(0.0723803\pi\) |
−0.906098 | + | 0.423068i | \(0.860953\pi\) | |||||||
\(168\) | 0.183507 | − | 1.74596i | 0.0141579 | − | 0.134703i | ||||
\(169\) | −3.79715 | − | 0.807109i | −0.292088 | − | 0.0620853i | ||||
\(170\) | 2.11792 | + | 1.53876i | 0.162437 | + | 0.118017i | ||||
\(171\) | −3.82780 | − | 2.78106i | −0.292719 | − | 0.212673i | ||||
\(172\) | −5.98216 | − | 1.27155i | −0.456135 | − | 0.0969546i | ||||
\(173\) | 0.800487 | − | 7.61613i | 0.0608599 | − | 0.579044i | −0.921017 | − | 0.389523i | \(-0.872640\pi\) |
0.981877 | − | 0.189521i | \(-0.0606934\pi\) | |||||||
\(174\) | 0.117919 | + | 1.12192i | 0.00893938 | + | 0.0850525i | ||||
\(175\) | −1.71721 | + | 0.365004i | −0.129809 | + | 0.0275917i | ||||
\(176\) | −2.42872 | − | 1.08134i | −0.183072 | − | 0.0815089i | ||||
\(177\) | −8.88563 | + | 9.86849i | −0.667885 | + | 0.741761i | ||||
\(178\) | −0.0570948 | − | 0.175720i | −0.00427944 | − | 0.0131708i | ||||
\(179\) | −16.1129 | − | 17.8952i | −1.20433 | − | 1.33755i | −0.926212 | − | 0.377004i | \(-0.876954\pi\) |
−0.278123 | − | 0.960545i | \(-0.589712\pi\) | |||||||
\(180\) | 0.500000 | − | 0.866025i | 0.0372678 | − | 0.0645497i | ||||
\(181\) | −8.66018 | − | 14.9999i | −0.643706 | − | 1.11493i | −0.984599 | − | 0.174830i | \(-0.944063\pi\) |
0.340893 | − | 0.940102i | \(-0.389271\pi\) | |||||||
\(182\) | −2.22901 | + | 6.86020i | −0.165226 | + | 0.508512i | ||||
\(183\) | 2.53762 | − | 1.12982i | 0.187586 | − | 0.0835187i | ||||
\(184\) | 2.45396 | − | 1.78291i | 0.180909 | − | 0.131438i | ||||
\(185\) | −4.02332 | −0.295801 | ||||||||
\(186\) | −2.09675 | − | 5.15787i | −0.153741 | − | 0.378193i | ||||
\(187\) | 6.95985 | 0.508955 | ||||||||
\(188\) | 1.96458 | − | 1.42735i | 0.143282 | − | 0.104101i | ||||
\(189\) | 1.60380 | − | 0.714056i | 0.116659 | − | 0.0519399i | ||||
\(190\) | 1.46209 | − | 4.49985i | 0.106071 | − | 0.326453i | ||||
\(191\) | 7.15860 | + | 12.3991i | 0.517978 | + | 0.897165i | 0.999782 | + | 0.0208856i | \(0.00664858\pi\) |
−0.481803 | + | 0.876279i | \(0.660018\pi\) | |||||||
\(192\) | −0.500000 | + | 0.866025i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | −0.909083 | − | 1.00964i | −0.0654373 | − | 0.0726754i | 0.709537 | − | 0.704668i | \(-0.248904\pi\) |
−0.774975 | + | 0.631992i | \(0.782237\pi\) | |||||||
\(194\) | −2.90264 | − | 8.93340i | −0.208397 | − | 0.641381i | ||||
\(195\) | −2.74930 | + | 3.05341i | −0.196882 | + | 0.218659i | ||||
\(196\) | −3.57924 | − | 1.59358i | −0.255660 | − | 0.113827i | ||||
\(197\) | −10.0055 | + | 2.12674i | −0.712863 | + | 0.151524i | −0.550048 | − | 0.835133i | \(-0.685391\pi\) |
−0.162815 | + | 0.986657i | \(0.552057\pi\) | |||||||
\(198\) | −0.277896 | − | 2.64400i | −0.0197492 | − | 0.187901i | ||||
\(199\) | −0.321575 | + | 3.05958i | −0.0227958 | + | 0.216888i | 0.977194 | + | 0.212349i | \(0.0681114\pi\) |
−0.999990 | + | 0.00453872i | \(0.998555\pi\) | |||||||
\(200\) | 0.978148 | + | 0.207912i | 0.0691655 | + | 0.0147016i | ||||
\(201\) | 3.09848 | + | 2.25118i | 0.218550 | + | 0.158786i | ||||
\(202\) | 11.8080 | + | 8.57900i | 0.830807 | + | 0.603616i | ||||
\(203\) | −1.93718 | − | 0.411761i | −0.135964 | − | 0.0289000i | ||||
\(204\) | 0.273645 | − | 2.60355i | 0.0191589 | − | 0.182285i | ||||
\(205\) | −0.512004 | − | 4.87139i | −0.0357599 | − | 0.340233i | ||||
\(206\) | −10.4740 | + | 2.22632i | −0.729760 | + | 0.155115i | ||||
\(207\) | 2.77103 | + | 1.23374i | 0.192600 | + | 0.0857509i | ||||
\(208\) | 2.74930 | − | 3.05341i | 0.190630 | − | 0.211716i | ||||
\(209\) | −3.88706 | − | 11.9632i | −0.268874 | − | 0.827509i | ||||
\(210\) | 1.17471 | + | 1.30465i | 0.0810625 | + | 0.0900291i | ||||
\(211\) | −1.88914 | + | 3.27208i | −0.130054 | + | 0.225260i | −0.923697 | − | 0.383124i | \(-0.874848\pi\) |
0.793643 | + | 0.608383i | \(0.208182\pi\) | |||||||
\(212\) | −1.75908 | − | 3.04681i | −0.120814 | − | 0.209256i | ||||
\(213\) | −0.209376 | + | 0.644392i | −0.0143462 | + | 0.0441530i | ||||
\(214\) | −2.63489 | + | 1.17313i | −0.180117 | + | 0.0801934i | ||||
\(215\) | 4.94779 | − | 3.59478i | 0.337436 | − | 0.245162i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | 9.74933 | − | 0.702684i | 0.661827 | − | 0.0477013i | ||||
\(218\) | −17.9280 | −1.21424 | ||||||||
\(219\) | −2.51050 | + | 1.82398i | −0.169644 | + | 0.123253i | ||||
\(220\) | 2.42872 | − | 1.08134i | 0.163744 | − | 0.0729037i | ||||
\(221\) | −3.32389 | + | 10.2299i | −0.223589 | + | 0.688136i | ||||
\(222\) | 2.01166 | + | 3.48430i | 0.135014 | + | 0.233851i | ||||
\(223\) | 9.12528 | − | 15.8054i | 0.611074 | − | 1.05841i | −0.379986 | − | 0.924992i | \(-0.624071\pi\) |
0.991060 | − | 0.133419i | \(-0.0425955\pi\) | |||||||
\(224\) | −1.17471 | − | 1.30465i | −0.0784885 | − | 0.0871703i | ||||
\(225\) | 0.309017 | + | 0.951057i | 0.0206011 | + | 0.0634038i | ||||
\(226\) | −10.6013 | + | 11.7740i | −0.705190 | + | 0.783193i | ||||
\(227\) | 24.6802 | + | 10.9883i | 1.63808 | + | 0.729321i | 0.999200 | − | 0.0399849i | \(-0.0127310\pi\) |
0.638881 | + | 0.769306i | \(0.279398\pi\) | |||||||
\(228\) | −4.62803 | + | 0.983718i | −0.306499 | + | 0.0651483i | ||||
\(229\) | −0.587564 | − | 5.59030i | −0.0388274 | − | 0.369418i | −0.996632 | − | 0.0819990i | \(-0.973870\pi\) |
0.957805 | − | 0.287419i | \(-0.0927971\pi\) | |||||||
\(230\) | −0.317063 | + | 3.01665i | −0.0209065 | + | 0.198912i | ||||
\(231\) | 4.56532 | + | 0.970389i | 0.300376 | + | 0.0638469i | ||||
\(232\) | 0.912652 | + | 0.663081i | 0.0599185 | + | 0.0435334i | ||||
\(233\) | 2.62021 | + | 1.90369i | 0.171656 | + | 0.124715i | 0.670296 | − | 0.742094i | \(-0.266167\pi\) |
−0.498640 | + | 0.866809i | \(0.666167\pi\) | |||||||
\(234\) | 4.01898 | + | 0.854261i | 0.262729 | + | 0.0558448i | ||||
\(235\) | −0.253833 | + | 2.41506i | −0.0165582 | + | 0.157541i | ||||
\(236\) | 1.38807 | + | 13.2066i | 0.0903558 | + | 0.859678i | ||||
\(237\) | −0.829909 | + | 0.176403i | −0.0539084 | + | 0.0114586i | ||||
\(238\) | 4.19857 | + | 1.86932i | 0.272153 | + | 0.121170i | ||||
\(239\) | −15.6382 | + | 17.3679i | −1.01155 | + | 1.12344i | −0.0192192 | + | 0.999815i | \(0.506118\pi\) |
−0.992329 | + | 0.123623i | \(0.960549\pi\) | |||||||
\(240\) | −0.309017 | − | 0.951057i | −0.0199470 | − | 0.0613904i | ||||
\(241\) | −16.0434 | − | 17.8180i | −1.03345 | − | 1.14776i | −0.988874 | − | 0.148754i | \(-0.952474\pi\) |
−0.0445739 | − | 0.999006i | \(-0.514193\pi\) | |||||||
\(242\) | −1.96601 | + | 3.40522i | −0.126380 | + | 0.218896i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 0.858378 | − | 2.64181i | 0.0549520 | − | 0.169125i | ||||
\(245\) | 3.57924 | − | 1.59358i | 0.228669 | − | 0.101810i | ||||
\(246\) | −3.96275 | + | 2.87910i | −0.252655 | + | 0.183565i | ||||
\(247\) | 19.4403 | 1.23696 | ||||||||
\(248\) | −5.23605 | − | 1.89310i | −0.332489 | − | 0.120212i | ||||
\(249\) | −7.77167 | −0.492510 | ||||||||
\(250\) | −0.809017 | + | 0.587785i | −0.0511667 | + | 0.0371748i | ||||
\(251\) | 11.1289 | − | 4.95491i | 0.702451 | − | 0.312751i | −0.0242495 | − | 0.999706i | \(-0.507720\pi\) |
0.726700 | + | 0.686955i | \(0.241053\pi\) | |||||||
\(252\) | 0.542502 | − | 1.66965i | 0.0341744 | − | 0.105178i | ||||
\(253\) | 4.03207 | + | 6.98376i | 0.253494 | + | 0.439065i | ||||
\(254\) | 9.18486 | − | 15.9086i | 0.576309 | − | 0.998197i | ||||
\(255\) | 1.75171 | + | 1.94547i | 0.109697 | + | 0.121830i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −6.16889 | + | 6.85125i | −0.384805 | + | 0.427369i | −0.904163 | − | 0.427188i | \(-0.859504\pi\) |
0.519358 | + | 0.854557i | \(0.326171\pi\) | |||||||
\(258\) | −5.58707 | − | 2.48752i | −0.347836 | − | 0.154866i | ||||
\(259\) | −6.90889 | + | 1.46853i | −0.429297 | + | 0.0912500i | ||||
\(260\) | 0.429483 | + | 4.08626i | 0.0266354 | + | 0.253419i | ||||
\(261\) | −0.117919 | + | 1.12192i | −0.00729898 | + | 0.0694451i | ||||
\(262\) | 12.7515 | + | 2.71041i | 0.787788 | + | 0.167449i | ||||
\(263\) | −21.1043 | − | 15.3332i | −1.30135 | − | 0.945483i | −0.301377 | − | 0.953505i | \(-0.597446\pi\) |
−0.999968 | + | 0.00802228i | \(0.997446\pi\) | |||||||
\(264\) | −2.15083 | − | 1.56267i | −0.132374 | − | 0.0961755i | ||||
\(265\) | 3.44128 | + | 0.731466i | 0.211396 | + | 0.0449336i | ||||
\(266\) | 0.868250 | − | 8.26085i | 0.0532358 | − | 0.506505i | ||||
\(267\) | −0.0193130 | − | 0.183751i | −0.00118193 | − | 0.0112454i | ||||
\(268\) | 3.74624 | − | 0.796289i | 0.228838 | − | 0.0486411i | ||||
\(269\) | −5.56186 | − | 2.47630i | −0.339112 | − | 0.150983i | 0.230113 | − | 0.973164i | \(-0.426090\pi\) |
−0.569226 | + | 0.822181i | \(0.692757\pi\) | |||||||
\(270\) | 0.669131 | − | 0.743145i | 0.0407220 | − | 0.0452264i | ||||
\(271\) | 3.35492 | + | 10.3254i | 0.203797 | + | 0.627223i | 0.999761 | + | 0.0218785i | \(0.00696468\pi\) |
−0.795964 | + | 0.605345i | \(0.793035\pi\) | |||||||
\(272\) | −1.75171 | − | 1.94547i | −0.106213 | − | 0.117962i | ||||
\(273\) | −3.60662 | + | 6.24685i | −0.218283 | + | 0.378077i | ||||
\(274\) | 4.54400 | + | 7.87043i | 0.274513 | + | 0.475470i | ||||
\(275\) | −0.821543 | + | 2.52845i | −0.0495409 | + | 0.152471i | ||||
\(276\) | 2.77103 | − | 1.23374i | 0.166796 | − | 0.0742625i | ||||
\(277\) | −15.0746 | + | 10.9523i | −0.905743 | + | 0.658061i | −0.939935 | − | 0.341354i | \(-0.889114\pi\) |
0.0341915 | + | 0.999415i | \(0.489114\pi\) | |||||||
\(278\) | 3.46492 | 0.207812 | ||||||||
\(279\) | −0.978551 | − | 5.48110i | −0.0585843 | − | 0.328145i | ||||
\(280\) | 1.75557 | 0.104916 | ||||||||
\(281\) | 3.33636 | − | 2.42401i | 0.199030 | − | 0.144604i | −0.483806 | − | 0.875175i | \(-0.660746\pi\) |
0.682837 | + | 0.730571i | \(0.260746\pi\) | |||||||
\(282\) | 2.21842 | − | 0.987703i | 0.132105 | − | 0.0588169i | ||||
\(283\) | −1.52542 | + | 4.69475i | −0.0906766 | + | 0.279074i | −0.986103 | − | 0.166136i | \(-0.946871\pi\) |
0.895426 | + | 0.445210i | \(0.146871\pi\) | |||||||
\(284\) | 0.338777 | + | 0.586779i | 0.0201027 | + | 0.0348189i | ||||
\(285\) | 2.36571 | − | 4.09753i | 0.140133 | − | 0.242717i | ||||
\(286\) | 7.30921 | + | 8.11770i | 0.432203 | + | 0.480010i | ||||
\(287\) | −2.65729 | − | 8.17831i | −0.156855 | − | 0.482751i | ||||
\(288\) | −0.669131 | + | 0.743145i | −0.0394289 | + | 0.0437902i | ||||
\(289\) | −9.26941 | − | 4.12701i | −0.545259 | − | 0.242765i | ||||
\(290\) | −1.10345 | + | 0.234545i | −0.0647967 | + | 0.0137730i | ||||
\(291\) | −0.981850 | − | 9.34168i | −0.0575571 | − | 0.547619i | ||||
\(292\) | −0.324367 | + | 3.08615i | −0.0189821 | + | 0.180603i | ||||
\(293\) | −1.62370 | − | 0.345127i | −0.0948573 | − | 0.0201625i | 0.160238 | − | 0.987078i | \(-0.448774\pi\) |
−0.255096 | + | 0.966916i | \(0.582107\pi\) | |||||||
\(294\) | −3.16970 | − | 2.30292i | −0.184861 | − | 0.134309i | ||||
\(295\) | −10.7432 | − | 7.80542i | −0.625495 | − | 0.454449i | ||||
\(296\) | 3.93540 | + | 0.836496i | 0.228741 | + | 0.0486203i | ||||
\(297\) | 0.277896 | − | 2.64400i | 0.0161252 | − | 0.153421i | ||||
\(298\) | 1.83760 | + | 17.4836i | 0.106449 | + | 1.01280i | ||||
\(299\) | −12.1906 | + | 2.59120i | −0.705003 | + | 0.149853i | ||||
\(300\) | 0.913545 | + | 0.406737i | 0.0527436 | + | 0.0234830i | ||||
\(301\) | 7.18428 | − | 7.97895i | 0.414095 | − | 0.459899i | ||||
\(302\) | 2.65969 | + | 8.18568i | 0.153048 | + | 0.471033i | ||||
\(303\) | 9.76627 | + | 10.8465i | 0.561058 | + | 0.623118i | ||||
\(304\) | −2.36571 | + | 4.09753i | −0.135683 | + | 0.235009i | ||||
\(305\) | 1.38888 | + | 2.40562i | 0.0795273 | + | 0.137745i | ||||
\(306\) | 0.808974 | − | 2.48977i | 0.0462460 | − | 0.142330i | ||||
\(307\) | 18.5146 | − | 8.24324i | 1.05668 | − | 0.470466i | 0.196529 | − | 0.980498i | \(-0.437033\pi\) |
0.860156 | + | 0.510032i | \(0.170366\pi\) | |||||||
\(308\) | 3.77593 | − | 2.74338i | 0.215154 | − | 0.156318i | ||||
\(309\) | −10.7080 | −0.609158 | ||||||||
\(310\) | 4.91045 | − | 2.62441i | 0.278895 | − | 0.149056i | ||||
\(311\) | 5.90148 | 0.334642 | 0.167321 | − | 0.985902i | \(-0.446488\pi\) | ||||
0.167321 | + | 0.985902i | \(0.446488\pi\) | |||||||
\(312\) | 3.32406 | − | 2.41507i | 0.188188 | − | 0.136727i | ||||
\(313\) | −1.62322 | + | 0.722704i | −0.0917499 | + | 0.0408497i | −0.452098 | − | 0.891968i | \(-0.649324\pi\) |
0.360349 | + | 0.932818i | \(0.382658\pi\) | |||||||
\(314\) | 1.73383 | − | 5.33618i | 0.0978457 | − | 0.301138i | ||||
\(315\) | 0.877787 | + | 1.52037i | 0.0494577 | + | 0.0856632i | ||||
\(316\) | −0.424225 | + | 0.734779i | −0.0238645 | + | 0.0413345i | ||||
\(317\) | 5.74016 | + | 6.37509i | 0.322399 | + | 0.358061i | 0.882457 | − | 0.470393i | \(-0.155888\pi\) |
−0.560058 | + | 0.828454i | \(0.689221\pi\) | |||||||
\(318\) | −1.08717 | − | 3.34597i | −0.0609655 | − | 0.187633i | ||||
\(319\) | −2.00681 | + | 2.22879i | −0.112360 | + | 0.124788i | ||||
\(320\) | −0.913545 | − | 0.406737i | −0.0510687 | − | 0.0227373i | ||||
\(321\) | −2.82122 | + | 0.599669i | −0.157465 | + | 0.0334702i | ||||
\(322\) | 0.556627 | + | 5.29595i | 0.0310196 | + | 0.295132i | ||||
\(323\) | 1.29473 | − | 12.3185i | 0.0720405 | − | 0.685420i | ||||
\(324\) | −0.978148 | − | 0.207912i | −0.0543415 | − | 0.0115506i | ||||
\(325\) | −3.32406 | − | 2.41507i | −0.184386 | − | 0.133964i | ||||
\(326\) | 10.8876 | + | 7.91031i | 0.603008 | + | 0.438111i | ||||
\(327\) | −17.5362 | − | 3.72744i | −0.969754 | − | 0.206128i | ||||
\(328\) | −0.512004 | + | 4.87139i | −0.0282707 | + | 0.268977i | ||||
\(329\) | 0.445622 | + | 4.23981i | 0.0245679 | + | 0.233748i | ||||
\(330\) | 2.60047 | − | 0.552747i | 0.143151 | − | 0.0304277i | ||||
\(331\) | −12.9702 | − | 5.77470i | −0.712907 | − | 0.317406i | 0.0180436 | − | 0.999837i | \(-0.494256\pi\) |
−0.730950 | + | 0.682431i | \(0.760923\pi\) | |||||||
\(332\) | −5.20026 | + | 5.77548i | −0.285401 | + | 0.316970i | ||||
\(333\) | 1.24327 | + | 3.82641i | 0.0681310 | + | 0.209686i | ||||
\(334\) | 5.63854 | + | 6.26224i | 0.308527 | + | 0.342654i | ||||
\(335\) | −1.91497 | + | 3.31682i | −0.104626 | + | 0.181217i | ||||
\(336\) | −0.877787 | − | 1.52037i | −0.0478872 | − | 0.0829430i | ||||
\(337\) | 0.562733 | − | 1.73191i | 0.0306540 | − | 0.0943434i | −0.934559 | − | 0.355808i | \(-0.884206\pi\) |
0.965213 | + | 0.261465i | \(0.0842056\pi\) | |||||||
\(338\) | −3.54637 | + | 1.57894i | −0.192897 | + | 0.0858832i | ||||
\(339\) | −12.8176 | + | 9.31254i | −0.696157 | + | 0.505788i | ||||
\(340\) | 2.61789 | 0.141975 | ||||||||
\(341\) | 6.46044 | − | 13.3180i | 0.349852 | − | 0.721213i | ||||
\(342\) | −4.73142 | −0.255846 | ||||||||
\(343\) | 15.5067 | − | 11.2662i | 0.837281 | − | 0.608320i | ||||
\(344\) | −5.58707 | + | 2.48752i | −0.301234 | + | 0.134118i | ||||
\(345\) | −0.937331 | + | 2.88481i | −0.0504642 | + | 0.155313i | ||||
\(346\) | −3.82904 | − | 6.63209i | −0.205850 | − | 0.356543i | ||||
\(347\) | 1.21602 | − | 2.10621i | 0.0652795 | − | 0.113067i | −0.831538 | − | 0.555467i | \(-0.812539\pi\) |
0.896818 | + | 0.442400i | \(0.145873\pi\) | |||||||
\(348\) | 0.754846 | + | 0.838342i | 0.0404640 | + | 0.0449398i | ||||
\(349\) | −6.63332 | − | 20.4153i | −0.355074 | − | 1.09280i | −0.955967 | − | 0.293475i | \(-0.905188\pi\) |
0.600893 | − | 0.799329i | \(-0.294812\pi\) | |||||||
\(350\) | −1.17471 | + | 1.30465i | −0.0627908 | + | 0.0697362i | ||||
\(351\) | 3.75355 | + | 1.67119i | 0.200350 | + | 0.0892014i | ||||
\(352\) | −2.60047 | + | 0.552747i | −0.138606 | + | 0.0294615i | ||||
\(353\) | −0.722585 | − | 6.87494i | −0.0384593 | − | 0.365916i | −0.996778 | − | 0.0802137i | \(-0.974440\pi\) |
0.958318 | − | 0.285703i | \(-0.0922269\pi\) | |||||||
\(354\) | −1.38807 | + | 13.2066i | −0.0737752 | + | 0.701924i | ||||
\(355\) | −0.662747 | − | 0.140871i | −0.0351750 | − | 0.00747667i | ||||
\(356\) | −0.149476 | − | 0.108601i | −0.00792223 | − | 0.00575583i | ||||
\(357\) | 3.71817 | + | 2.70141i | 0.196786 | + | 0.142974i | ||||
\(358\) | −23.5541 | − | 5.00659i | −1.24487 | − | 0.264606i | ||||
\(359\) | 0.0774854 | − | 0.737224i | 0.00408952 | − | 0.0389092i | −0.992287 | − | 0.123963i | \(-0.960440\pi\) |
0.996376 | + | 0.0850539i | \(0.0271062\pi\) | |||||||
\(360\) | −0.104528 | − | 0.994522i | −0.00550913 | − | 0.0524159i | ||||
\(361\) | −3.31234 | + | 0.704059i | −0.174334 | + | 0.0370557i | ||||
\(362\) | −15.8229 | − | 7.04483i | −0.831635 | − | 0.370268i | ||||
\(363\) | −2.63103 | + | 2.92206i | −0.138093 | + | 0.153368i | ||||
\(364\) | 2.22901 | + | 6.86020i | 0.116832 | + | 0.359572i | ||||
\(365\) | −2.07641 | − | 2.30609i | −0.108684 | − | 0.120706i | ||||
\(366\) | 1.38888 | − | 2.40562i | 0.0725981 | − | 0.125744i | ||||
\(367\) | 11.6377 | + | 20.1570i | 0.607480 | + | 1.05219i | 0.991654 | + | 0.128926i | \(0.0411530\pi\) |
−0.384174 | + | 0.923261i | \(0.625514\pi\) | |||||||
\(368\) | 0.937331 | − | 2.88481i | 0.0488618 | − | 0.150381i | ||||
\(369\) | −4.47475 | + | 1.99229i | −0.232946 | + | 0.103714i | ||||
\(370\) | −3.25494 | + | 2.36485i | −0.169216 | + | 0.122943i | ||||
\(371\) | 6.17638 | 0.320662 | ||||||||
\(372\) | −4.72803 | − | 2.94037i | −0.245137 | − | 0.152451i | ||||
\(373\) | 15.3830 | 0.796500 | 0.398250 | − | 0.917277i | \(-0.369618\pi\) | ||||
0.398250 | + | 0.917277i | \(0.369618\pi\) | |||||||
\(374\) | 5.63064 | − | 4.09090i | 0.291153 | − | 0.211535i | ||||
\(375\) | −0.913545 | + | 0.406737i | −0.0471753 | + | 0.0210038i | ||||
\(376\) | 0.750405 | − | 2.30951i | 0.0386992 | − | 0.119104i | ||||
\(377\) | −2.31755 | − | 4.01412i | −0.119360 | − | 0.206737i | ||||
\(378\) | 0.877787 | − | 1.52037i | 0.0451485 | − | 0.0781994i | ||||
\(379\) | 11.1287 | + | 12.3597i | 0.571645 | + | 0.634876i | 0.957758 | − | 0.287576i | \(-0.0928493\pi\) |
−0.386113 | + | 0.922451i | \(0.626183\pi\) | |||||||
\(380\) | −1.46209 | − | 4.49985i | −0.0750036 | − | 0.230837i | ||||
\(381\) | 12.2917 | − | 13.6514i | 0.629725 | − | 0.699381i | ||||
\(382\) | 13.0794 | + | 5.82333i | 0.669201 | + | 0.297948i | ||||
\(383\) | 22.5650 | − | 4.79633i | 1.15302 | − | 0.245081i | 0.408547 | − | 0.912737i | \(-0.366036\pi\) |
0.744470 | + | 0.667656i | \(0.232702\pi\) | |||||||
\(384\) | 0.104528 | + | 0.994522i | 0.00533420 | + | 0.0507515i | ||||
\(385\) | −0.487867 | + | 4.64174i | −0.0248640 | + | 0.236565i | ||||
\(386\) | −1.32892 | − | 0.282470i | −0.0676400 | − | 0.0143773i | ||||
\(387\) | −4.94779 | − | 3.59478i | −0.251510 | − | 0.182733i | ||||
\(388\) | −7.59921 | − | 5.52115i | −0.385791 | − | 0.280294i | ||||
\(389\) | −2.29014 | − | 0.486784i | −0.116115 | − | 0.0246809i | 0.149488 | − | 0.988764i | \(-0.452238\pi\) |
−0.265602 | + | 0.964083i | \(0.585571\pi\) | |||||||
\(390\) | −0.429483 | + | 4.08626i | −0.0217477 | + | 0.206916i | ||||
\(391\) | 0.830037 | + | 7.89727i | 0.0419768 | + | 0.399382i | ||||
\(392\) | −3.83235 | + | 0.814590i | −0.193563 | + | 0.0411430i | ||||
\(393\) | 11.9093 | + | 5.30236i | 0.600744 | + | 0.267468i | ||||
\(394\) | −6.84456 | + | 7.60166i | −0.344824 | + | 0.382966i | ||||
\(395\) | −0.262185 | − | 0.806924i | −0.0131920 | − | 0.0406007i | ||||
\(396\) | −1.77893 | − | 1.97570i | −0.0893946 | − | 0.0992827i | ||||
\(397\) | −1.29235 | + | 2.23842i | −0.0648613 | + | 0.112343i | −0.896632 | − | 0.442776i | \(-0.853994\pi\) |
0.831771 | + | 0.555119i | \(0.187327\pi\) | |||||||
\(398\) | 1.53822 | + | 2.66427i | 0.0771038 | + | 0.133548i | ||||
\(399\) | 2.56680 | − | 7.89981i | 0.128501 | − | 0.395485i | ||||
\(400\) | 0.913545 | − | 0.406737i | 0.0456773 | − | 0.0203368i | ||||
\(401\) | 13.8605 | − | 10.0702i | 0.692160 | − | 0.502884i | −0.185209 | − | 0.982699i | \(-0.559296\pi\) |
0.877370 | + | 0.479815i | \(0.159296\pi\) | |||||||
\(402\) | 3.82994 | 0.191020 | ||||||||
\(403\) | 16.4900 | + | 15.8562i | 0.821426 | + | 0.789856i | ||||
\(404\) | 14.5955 | 0.726152 | ||||||||
\(405\) | 0.809017 | − | 0.587785i | 0.0402004 | − | 0.0292073i | ||||
\(406\) | −1.80924 | + | 0.805526i | −0.0897912 | + | 0.0399776i | ||||
\(407\) | −3.30533 | + | 10.1728i | −0.163839 | + | 0.504245i | ||||
\(408\) | −1.30895 | − | 2.26716i | −0.0648026 | − | 0.112241i | ||||
\(409\) | 17.1447 | − | 29.6955i | 0.847752 | − | 1.46835i | −0.0354568 | − | 0.999371i | \(-0.511289\pi\) |
0.883209 | − | 0.468979i | \(-0.155378\pi\) | |||||||
\(410\) | −3.27755 | − | 3.64009i | −0.161867 | − | 0.179771i | ||||
\(411\) | 2.80834 | + | 8.64320i | 0.138525 | + | 0.426337i | ||||
\(412\) | −7.16507 | + | 7.95761i | −0.352997 | + | 0.392043i | ||||
\(413\) | −21.2974 | − | 9.48221i | −1.04798 | − | 0.466589i | ||||
\(414\) | 2.96698 | − | 0.630652i | 0.145819 | − | 0.0309948i | ||||
\(415\) | −0.812361 | − | 7.72910i | −0.0398772 | − | 0.379406i | ||||
\(416\) | 0.429483 | − | 4.08626i | 0.0210572 | − | 0.200345i | ||||
\(417\) | 3.38920 | + | 0.720397i | 0.165970 | + | 0.0352780i | ||||
\(418\) | −10.1765 | − | 7.39364i | −0.497747 | − | 0.361635i | ||||
\(419\) | −16.6847 | − | 12.1221i | −0.815101 | − | 0.592205i | 0.100204 | − | 0.994967i | \(-0.468050\pi\) |
−0.915305 | + | 0.402762i | \(0.868050\pi\) | |||||||
\(420\) | 1.71721 | + | 0.365004i | 0.0837912 | + | 0.0178104i | ||||
\(421\) | 0.951845 | − | 9.05620i | 0.0463901 | − | 0.441372i | −0.946532 | − | 0.322609i | \(-0.895440\pi\) |
0.992923 | − | 0.118764i | \(-0.0378931\pi\) | |||||||
\(422\) | 0.394938 | + | 3.75758i | 0.0192253 | + | 0.182916i | ||||
\(423\) | 2.37529 | − | 0.504884i | 0.115491 | − | 0.0245483i | ||||
\(424\) | −3.21400 | − | 1.43096i | −0.156085 | − | 0.0694937i | ||||
\(425\) | −1.75171 | + | 1.94547i | −0.0849706 | + | 0.0943694i | ||||
\(426\) | 0.209376 | + | 0.644392i | 0.0101443 | + | 0.0312209i | ||||
\(427\) | 3.26307 | + | 3.62400i | 0.157911 | + | 0.175378i | ||||
\(428\) | −1.44212 | + | 2.49783i | −0.0697077 | + | 0.120737i | ||||
\(429\) | 5.46172 | + | 9.45998i | 0.263694 | + | 0.456732i | ||||
\(430\) | 1.88989 | − | 5.81648i | 0.0911385 | − | 0.280495i | ||||
\(431\) | 19.4024 | − | 8.63852i | 0.934583 | − | 0.416103i | 0.117793 | − | 0.993038i | \(-0.462418\pi\) |
0.816790 | + | 0.576935i | \(0.195751\pi\) | |||||||
\(432\) | −0.809017 | + | 0.587785i | −0.0389238 | + | 0.0282798i | ||||
\(433\) | 16.9307 | 0.813637 | 0.406818 | − | 0.913509i | \(-0.366638\pi\) | ||||
0.406818 | + | 0.913509i | \(0.366638\pi\) | |||||||
\(434\) | 7.47434 | − | 6.29899i | 0.358780 | − | 0.302361i | ||||
\(435\) | −1.12810 | −0.0540883 | ||||||||
\(436\) | −14.5040 | + | 10.5378i | −0.694617 | + | 0.504669i | ||||
\(437\) | 13.1109 | − | 5.83735i | 0.627179 | − | 0.279238i | ||||
\(438\) | −0.958925 | + | 2.95127i | −0.0458192 | + | 0.141017i | ||||
\(439\) | −5.54939 | − | 9.61183i | −0.264858 | − | 0.458748i | 0.702668 | − | 0.711518i | \(-0.251992\pi\) |
−0.967526 | + | 0.252770i | \(0.918658\pi\) | |||||||
\(440\) | 1.32928 | − | 2.30239i | 0.0633711 | − | 0.109762i | ||||
\(441\) | −2.62163 | − | 2.91161i | −0.124839 | − | 0.138648i | ||||
\(442\) | 3.32389 | + | 10.2299i | 0.158101 | + | 0.486585i | ||||
\(443\) | −10.4449 | + | 11.6003i | −0.496253 | + | 0.551145i | −0.938289 | − | 0.345852i | \(-0.887590\pi\) |
0.442036 | + | 0.896998i | \(0.354257\pi\) | |||||||
\(444\) | 3.67549 | + | 1.63643i | 0.174431 | + | 0.0776617i | ||||
\(445\) | 0.180725 | − | 0.0384143i | 0.00856720 | − | 0.00182101i | ||||
\(446\) | −1.90770 | − | 18.1506i | −0.0903323 | − | 0.859455i | ||||
\(447\) | −1.83760 | + | 17.4836i | −0.0869154 | + | 0.826945i | ||||
\(448\) | −1.71721 | − | 0.365004i | −0.0811305 | − | 0.0172448i | ||||
\(449\) | 6.11441 | + | 4.44238i | 0.288557 | + | 0.209649i | 0.722641 | − | 0.691223i | \(-0.242928\pi\) |
−0.434084 | + | 0.900872i | \(0.642928\pi\) | |||||||
\(450\) | 0.809017 | + | 0.587785i | 0.0381374 | + | 0.0277085i | ||||
\(451\) | −12.7377 | − | 2.70748i | −0.599795 | − | 0.127490i | ||||
\(452\) | −1.65609 | + | 15.7567i | −0.0778960 | + | 0.741131i | ||||
\(453\) | 0.899670 | + | 8.55979i | 0.0422702 | + | 0.402174i | ||||
\(454\) | 26.4255 | − | 5.61691i | 1.24021 | − | 0.263614i | ||||
\(455\) | −6.58963 | − | 2.93389i | −0.308926 | − | 0.137543i | ||||
\(456\) | −3.16594 | + | 3.51613i | −0.148259 | + | 0.164658i | ||||
\(457\) | −7.15083 | − | 22.0080i | −0.334502 | − | 1.02949i | −0.966967 | − | 0.254901i | \(-0.917957\pi\) |
0.632465 | − | 0.774589i | \(-0.282043\pi\) | |||||||
\(458\) | −3.76125 | − | 4.17729i | −0.175752 | − | 0.195192i | ||||
\(459\) | 1.30895 | − | 2.26716i | 0.0610964 | − | 0.105822i | ||||
\(460\) | 1.51663 | + | 2.62689i | 0.0707134 | + | 0.122479i | ||||
\(461\) | 12.2208 | − | 37.6117i | 0.569179 | − | 1.75175i | −0.0860154 | − | 0.996294i | \(-0.527413\pi\) |
0.655195 | − | 0.755460i | \(-0.272587\pi\) | |||||||
\(462\) | 4.26380 | − | 1.89837i | 0.198370 | − | 0.0883200i | ||||
\(463\) | 29.5516 | − | 21.4705i | 1.37338 | − | 0.997819i | 0.375916 | − | 0.926654i | \(-0.377328\pi\) |
0.997465 | − | 0.0711657i | \(-0.0226719\pi\) | |||||||
\(464\) | 1.12810 | 0.0523707 | ||||||||
\(465\) | 5.34879 | − | 1.54612i | 0.248044 | − | 0.0716996i | ||||
\(466\) | 3.23876 | 0.150032 | ||||||||
\(467\) | 18.0090 | − | 13.0843i | 0.833355 | − | 0.605468i | −0.0871512 | − | 0.996195i | \(-0.527776\pi\) |
0.920507 | + | 0.390727i | \(0.127776\pi\) | |||||||
\(468\) | 3.75355 | − | 1.67119i | 0.173508 | − | 0.0772506i | ||||
\(469\) | −2.07775 | + | 6.39465i | −0.0959415 | + | 0.295278i | ||||
\(470\) | 1.21418 | + | 2.10302i | 0.0560060 | + | 0.0970052i | ||||
\(471\) | 2.80540 | − | 4.85909i | 0.129266 | − | 0.223895i | ||||
\(472\) | 8.88563 | + | 9.86849i | 0.408994 | + | 0.454234i | ||||
\(473\) | −5.02440 | − | 15.4635i | −0.231022 | − | 0.711013i | ||||
\(474\) | −0.567724 | + | 0.630521i | −0.0260764 | + | 0.0289608i | ||||
\(475\) | 4.32237 | + | 1.92444i | 0.198324 | + | 0.0882995i | ||||
\(476\) | 4.49547 | − | 0.955542i | 0.206050 | − | 0.0437972i | ||||
\(477\) | −0.367748 | − | 3.49888i | −0.0168380 | − | 0.160203i | ||||
\(478\) | −2.44292 | + | 23.2428i | −0.111737 | + | 1.06310i | ||||
\(479\) | −28.3510 | − | 6.02618i | −1.29539 | − | 0.275343i | −0.491894 | − | 0.870655i | \(-0.663695\pi\) |
−0.803495 | + | 0.595312i | \(0.797028\pi\) | |||||||
\(480\) | −0.809017 | − | 0.587785i | −0.0369264 | − | 0.0268286i | ||||
\(481\) | −13.3738 | − | 9.71662i | −0.609792 | − | 0.443040i | ||||
\(482\) | −23.4526 | − | 4.98500i | −1.06824 | − | 0.227061i | ||||
\(483\) | −0.556627 | + | 5.29595i | −0.0253274 | + | 0.240974i | ||||
\(484\) | 0.411007 | + | 3.91047i | 0.0186821 | + | 0.177749i | ||||
\(485\) | 9.18788 | − | 1.95294i | 0.417200 | − | 0.0886786i | ||||
\(486\) | −0.913545 | − | 0.406737i | −0.0414393 | − | 0.0184499i | ||||
\(487\) | 11.0090 | − | 12.2267i | 0.498866 | − | 0.554047i | −0.440148 | − | 0.897925i | \(-0.645074\pi\) |
0.939014 | + | 0.343879i | \(0.111741\pi\) | |||||||
\(488\) | −0.858378 | − | 2.64181i | −0.0388569 | − | 0.119589i | ||||
\(489\) | 9.00504 | + | 10.0011i | 0.407222 | + | 0.452266i | ||||
\(490\) | 1.95898 | − | 3.39306i | 0.0884978 | − | 0.153283i | ||||
\(491\) | 10.3646 | + | 17.9520i | 0.467747 | + | 0.810162i | 0.999321 | − | 0.0368504i | \(-0.0117325\pi\) |
−0.531574 | + | 0.847012i | \(0.678399\pi\) | |||||||
\(492\) | −1.51363 | + | 4.65849i | −0.0682399 | + | 0.210021i | ||||
\(493\) | −2.69793 | + | 1.20119i | −0.121508 | + | 0.0540990i | ||||
\(494\) | 15.7275 | − | 11.4267i | 0.707616 | − | 0.514113i | ||||
\(495\) | 2.65857 | 0.119494 | ||||||||
\(496\) | −5.34879 | + | 1.54612i | −0.240168 | + | 0.0694229i | ||||
\(497\) | −1.18949 | −0.0533561 | ||||||||
\(498\) | −6.28741 | + | 4.56807i | −0.281746 | + | 0.204700i | ||||
\(499\) | −4.31925 | + | 1.92305i | −0.193356 | + | 0.0860877i | −0.501131 | − | 0.865372i | \(-0.667082\pi\) |
0.307775 | + | 0.951459i | \(0.400416\pi\) | |||||||
\(500\) | −0.309017 | + | 0.951057i | −0.0138197 | + | 0.0425325i | ||||
\(501\) | 4.21334 | + | 7.29771i | 0.188238 | + | 0.326038i | ||||
\(502\) | 6.09106 | − | 10.5500i | 0.271857 | − | 0.470870i | ||||
\(503\) | 23.5005 | + | 26.0999i | 1.04783 | + | 1.16374i | 0.986186 | + | 0.165640i | \(0.0529689\pi\) |
0.0616480 | + | 0.998098i | \(0.480364\pi\) | |||||||
\(504\) | −0.542502 | − | 1.66965i | −0.0241650 | − | 0.0743721i | ||||
\(505\) | −9.76627 | + | 10.8465i | −0.434593 | + | 0.482665i | ||||
\(506\) | 7.36696 | + | 3.27998i | 0.327502 | + | 0.145813i | ||||
\(507\) | −3.79715 | + | 0.807109i | −0.168637 | + | 0.0358450i | ||||
\(508\) | −1.92016 | − | 18.2691i | −0.0851933 | − | 0.810560i | ||||
\(509\) | 0.169190 | − | 1.60974i | 0.00749922 | − | 0.0713503i | −0.990132 | − | 0.140136i | \(-0.955246\pi\) |
0.997631 | + | 0.0687860i | \(0.0219126\pi\) | |||||||
\(510\) | 2.56069 | + | 0.544291i | 0.113389 | + | 0.0241016i | ||||
\(511\) | −4.40736 | − | 3.20214i | −0.194970 | − | 0.141654i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | −4.62803 | − | 0.983718i | −0.204332 | − | 0.0434322i | ||||
\(514\) | −0.963675 | + | 9.16876i | −0.0425059 | + | 0.404416i | ||||
\(515\) | −1.11929 | − | 10.6494i | −0.0493220 | − | 0.469267i | ||||
\(516\) | −5.98216 | + | 1.27155i | −0.263350 | + | 0.0559768i | ||||
\(517\) | 5.89781 | + | 2.62588i | 0.259386 | + | 0.115486i | ||||
\(518\) | −4.72623 | + | 5.24901i | −0.207659 | + | 0.230628i | ||||
\(519\) | −2.36648 | − | 7.28327i | −0.103877 | − | 0.319700i | ||||
\(520\) | 2.74930 | + | 3.05341i | 0.120565 | + | 0.133901i | ||||
\(521\) | −3.14177 | + | 5.44171i | −0.137644 | + | 0.238406i | −0.926604 | − | 0.376038i | \(-0.877286\pi\) |
0.788961 | + | 0.614444i | \(0.210620\pi\) | |||||||
\(522\) | 0.564050 | + | 0.976963i | 0.0246878 | + | 0.0427605i | ||||
\(523\) | −2.59324 | + | 7.98117i | −0.113394 | + | 0.348992i | −0.991609 | − | 0.129275i | \(-0.958735\pi\) |
0.878214 | + | 0.478267i | \(0.158735\pi\) | |||||||
\(524\) | 11.9093 | − | 5.30236i | 0.520260 | − | 0.231634i | ||||
\(525\) | −1.42029 | + | 1.03190i | −0.0619865 | + | 0.0450358i | ||||
\(526\) | −26.0863 | −1.13742 | ||||||||
\(527\) | 11.1457 | − | 9.39300i | 0.485513 | − | 0.409166i | ||||
\(528\) | −2.65857 | −0.115699 | ||||||||
\(529\) | 11.1639 | − | 8.11102i | 0.485385 | − | 0.352653i | ||||
\(530\) | 3.21400 | − | 1.43096i | 0.139607 | − | 0.0621571i | ||||
\(531\) | −4.10355 | + | 12.6294i | −0.178079 | + | 0.548071i | ||||
\(532\) | −4.15318 | − | 7.19351i | −0.180063 | − | 0.311878i | ||||
\(533\) | 10.0628 | − | 17.4293i | 0.435870 | − | 0.754948i | ||||
\(534\) | −0.123630 | − | 0.137306i | −0.00535001 | − | 0.00594179i | ||||
\(535\) | −0.891281 | − | 2.74308i | −0.0385334 | − | 0.118594i | ||||
\(536\) | 2.56273 | − | 2.84620i | 0.110693 | − | 0.122937i | ||||
\(537\) | −21.9985 | − | 9.79436i | −0.949305 | − | 0.422658i | ||||
\(538\) | −5.95517 | + | 1.26581i | −0.256746 | + | 0.0545729i | ||||
\(539\) | −1.08879 | − | 10.3591i | −0.0468974 | − | 0.446199i | ||||
\(540\) | 0.104528 | − | 0.994522i | 0.00449819 | − | 0.0427974i | ||||
\(541\) | −34.3603 | − | 7.30351i | −1.47726 | − | 0.314002i | −0.602332 | − | 0.798246i | \(-0.705762\pi\) |
−0.874933 | + | 0.484244i | \(0.839095\pi\) | |||||||
\(542\) | 8.78331 | + | 6.38144i | 0.377275 | + | 0.274107i | ||||
\(543\) | −14.0125 | − | 10.1807i | −0.601333 | − | 0.436894i | ||||
\(544\) | −2.56069 | − | 0.544291i | −0.109789 | − | 0.0233363i | ||||
\(545\) | 1.87398 | − | 17.8298i | 0.0802726 | − | 0.763743i | ||||
\(546\) | 0.753989 | + | 7.17373i | 0.0322678 | + | 0.307007i | ||||
\(547\) | −17.7390 | + | 3.77054i | −0.758464 | + | 0.161217i | −0.570882 | − | 0.821032i | \(-0.693399\pi\) |
−0.187582 | + | 0.982249i | \(0.560065\pi\) | |||||||
\(548\) | 8.30230 | + | 3.69642i | 0.354656 | + | 0.157903i | ||||
\(549\) | 1.85869 | − | 2.06428i | 0.0793270 | − | 0.0881015i | ||||
\(550\) | 0.821543 | + | 2.52845i | 0.0350307 | + | 0.107813i | ||||
\(551\) | 3.57149 | + | 3.96655i | 0.152151 | + | 0.168981i | ||||
\(552\) | 1.51663 | − | 2.62689i | 0.0645522 | − | 0.111808i | ||||
\(553\) | −0.744758 | − | 1.28996i | −0.0316703 | − | 0.0548546i | ||||
\(554\) | −5.75797 | + | 17.7212i | −0.244633 | + | 0.752903i | ||||
\(555\) | −3.67549 | + | 1.63643i | −0.156016 | + | 0.0694627i | ||||
\(556\) | 2.80318 | − | 2.03663i | 0.118881 | − | 0.0863723i | ||||
\(557\) | 24.6871 | 1.04602 | 0.523012 | − | 0.852325i | \(-0.324808\pi\) | ||||
0.523012 | + | 0.852325i | \(0.324808\pi\) | |||||||
\(558\) | −4.01337 | − | 3.85912i | −0.169900 | − | 0.163370i | ||||
\(559\) | 25.1284 | 1.06282 | ||||||||
\(560\) | 1.42029 | − | 1.03190i | 0.0600181 | − | 0.0436057i | ||||
\(561\) | 6.35814 | − | 2.83083i | 0.268441 | − | 0.119518i | ||||
\(562\) | 1.27438 | − | 3.92213i | 0.0537563 | − | 0.165445i | ||||
\(563\) | 9.95166 | + | 17.2368i | 0.419413 | + | 0.726444i | 0.995880 | − | 0.0906759i | \(-0.0289027\pi\) |
−0.576468 | + | 0.817120i | \(0.695569\pi\) | |||||||
\(564\) | 1.21418 | − | 2.10302i | 0.0511262 | − | 0.0885532i | ||||
\(565\) | −10.6013 | − | 11.7740i | −0.446002 | − | 0.495335i | ||||
\(566\) | 1.52542 | + | 4.69475i | 0.0641180 | + | 0.197335i | ||||
\(567\) | 1.17471 | − | 1.30465i | 0.0493331 | − | 0.0547899i | ||||
\(568\) | 0.618976 | + | 0.275586i | 0.0259717 | + | 0.0115633i | ||||
\(569\) | 13.5219 | − | 2.87418i | 0.566869 | − | 0.120492i | 0.0844427 | − | 0.996428i | \(-0.473089\pi\) |
0.482426 | + | 0.875937i | \(0.339756\pi\) | |||||||
\(570\) | −0.494568 | − | 4.70550i | −0.0207152 | − | 0.197092i | ||||
\(571\) | −0.877582 | + | 8.34963i | −0.0367256 | + | 0.349421i | 0.960693 | + | 0.277613i | \(0.0895435\pi\) |
−0.997418 | + | 0.0718077i | \(0.977123\pi\) | |||||||
\(572\) | 10.6847 | + | 2.27111i | 0.446751 | + | 0.0949599i | ||||
\(573\) | 11.5829 | + | 8.41544i | 0.483881 | + | 0.351560i | ||||
\(574\) | −6.95689 | − | 5.05448i | −0.290375 | − | 0.210970i | ||||
\(575\) | −2.96698 | − | 0.630652i | −0.123732 | − | 0.0263000i | ||||
\(576\) | −0.104528 | + | 0.994522i | −0.00435535 | + | 0.0414384i | ||||
\(577\) | 3.92398 | + | 37.3342i | 0.163358 | + | 1.55424i | 0.702288 | + | 0.711893i | \(0.252162\pi\) |
−0.538931 | + | 0.842350i | \(0.681171\pi\) | |||||||
\(578\) | −9.92490 | + | 2.10960i | −0.412821 | + | 0.0877479i | ||||
\(579\) | −1.24115 | − | 0.552594i | −0.0515803 | − | 0.0229650i | ||||
\(580\) | −0.754846 | + | 0.838342i | −0.0313433 | + | 0.0348102i | ||||
\(581\) | −4.21615 | − | 12.9760i | −0.174915 | − | 0.538334i | ||||
\(582\) | −6.28524 | − | 6.98046i | −0.260531 | − | 0.289349i | ||||
\(583\) | 4.67663 | − | 8.10016i | 0.193686 | − | 0.335475i | ||||
\(584\) | 1.55157 | + | 2.68740i | 0.0642045 | + | 0.111206i | ||||
\(585\) | −1.26968 | + | 3.90767i | −0.0524948 | + | 0.161562i | ||||
\(586\) | −1.51646 | + | 0.675170i | −0.0626443 | + | 0.0278910i | ||||
\(587\) | 15.7907 | − | 11.4726i | 0.651752 | − | 0.473526i | −0.212116 | − | 0.977245i | \(-0.568035\pi\) |
0.863868 | + | 0.503719i | \(0.168035\pi\) | |||||||
\(588\) | −3.91796 | −0.161574 | ||||||||
\(589\) | −22.3703 | − | 13.9121i | −0.921752 | − | 0.573238i | ||||
\(590\) | −13.2794 | −0.546703 | ||||||||
\(591\) | −8.27547 | + | 6.01248i | −0.340407 | + | 0.247320i | ||||
\(592\) | 3.67549 | − | 1.63643i | 0.151062 | − | 0.0672570i | ||||
\(593\) | 1.92563 | − | 5.92649i | 0.0790763 | − | 0.243372i | −0.903701 | − | 0.428163i | \(-0.859161\pi\) |
0.982778 | + | 0.184791i | \(0.0591609\pi\) | |||||||
\(594\) | −1.32928 | − | 2.30239i | −0.0545412 | − | 0.0944681i | ||||
\(595\) | −2.29795 | + | 3.98017i | −0.0942069 | + | 0.163171i | ||||
\(596\) | 11.7632 | + | 13.0644i | 0.481841 | + | 0.535138i | ||||
\(597\) | 0.950670 | + | 2.92586i | 0.0389083 | + | 0.119748i | ||||
\(598\) | −8.33937 | + | 9.26181i | −0.341022 | + | 0.378743i | ||||
\(599\) | 26.8370 | + | 11.9486i | 1.09653 | + | 0.488206i | 0.873608 | − | 0.486630i | \(-0.161774\pi\) |
0.222921 | + | 0.974837i | \(0.428441\pi\) | |||||||
\(600\) | 0.978148 | − | 0.207912i | 0.0399327 | − | 0.00848796i | ||||
\(601\) | −4.46149 | − | 42.4483i | −0.181988 | − | 1.73150i | −0.580432 | − | 0.814309i | \(-0.697116\pi\) |
0.398444 | − | 0.917193i | \(-0.369550\pi\) | |||||||
\(602\) | 1.12230 | − | 10.6779i | 0.0457413 | − | 0.435200i | ||||
\(603\) | 3.74624 | + | 0.796289i | 0.152559 | + | 0.0324274i | ||||
\(604\) | 6.96316 | + | 5.05903i | 0.283327 | + | 0.205849i | ||||
\(605\) | −3.18107 | − | 2.31118i | −0.129329 | − | 0.0939628i | ||||
\(606\) | 14.2765 | + | 3.03457i | 0.579944 | + | 0.123271i | ||||
\(607\) | −2.35186 | + | 22.3764i | −0.0954590 | + | 0.908232i | 0.837060 | + | 0.547111i | \(0.184272\pi\) |
−0.932519 | + | 0.361121i | \(0.882394\pi\) | |||||||
\(608\) | 0.494568 | + | 4.70550i | 0.0200574 | + | 0.190833i | ||||
\(609\) | −1.93718 | + | 0.411761i | −0.0784987 | + | 0.0166854i | ||||
\(610\) | 2.53762 | + | 1.12982i | 0.102745 | + | 0.0457451i | ||||
\(611\) | −6.67630 | + | 7.41478i | −0.270094 | + | 0.299970i | ||||
\(612\) | −0.808974 | − | 2.48977i | −0.0327008 | − | 0.100643i | ||||
\(613\) | −8.58413 | − | 9.53365i | −0.346710 | − | 0.385060i | 0.544417 | − | 0.838815i | \(-0.316751\pi\) |
−0.891127 | + | 0.453754i | \(0.850084\pi\) | |||||||
\(614\) | 10.1334 | − | 17.5515i | 0.408950 | − | 0.708322i | ||||
\(615\) | −2.44911 | − | 4.24198i | −0.0987577 | − | 0.171053i | ||||
\(616\) | 1.44228 | − | 4.43888i | 0.0581111 | − | 0.178847i | ||||
\(617\) | 5.77574 | − | 2.57153i | 0.232523 | − | 0.103526i | −0.287168 | − | 0.957880i | \(-0.592714\pi\) |
0.519691 | + | 0.854354i | \(0.326047\pi\) | |||||||
\(618\) | −8.66297 | + | 6.29402i | −0.348476 | + | 0.253183i | ||||
\(619\) | 39.6231 | 1.59259 | 0.796293 | − | 0.604911i | \(-0.206791\pi\) | ||||
0.796293 | + | 0.604911i | \(0.206791\pi\) | |||||||
\(620\) | 2.43004 | − | 5.00948i | 0.0975929 | − | 0.201186i | ||||
\(621\) | 3.03327 | 0.121721 | ||||||||
\(622\) | 4.77440 | − | 3.46880i | 0.191436 | − | 0.139086i | ||||
\(623\) | 0.296322 | − | 0.131931i | 0.0118719 | − | 0.00528570i | ||||
\(624\) | 1.26968 | − | 3.90767i | 0.0508279 | − | 0.156432i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −0.888418 | + | 1.53879i | −0.0355083 | + | 0.0615022i | ||||
\(627\) | −8.41686 | − | 9.34787i | −0.336137 | − | 0.373318i | ||||
\(628\) | −1.73383 | − | 5.33618i | −0.0691874 | − | 0.212937i | ||||
\(629\) | −7.04771 | + | 7.82727i | −0.281011 | + | 0.312094i | ||||
\(630\) | 1.60380 | + | 0.714056i | 0.0638968 | + | 0.0284487i | ||||
\(631\) | −36.0787 | + | 7.66876i | −1.43627 | + | 0.305289i | −0.859298 | − | 0.511475i | \(-0.829099\pi\) |
−0.576972 | + | 0.816764i | \(0.695766\pi\) | |||||||
\(632\) | 0.0886871 | + | 0.843802i | 0.00352778 | + | 0.0335646i | ||||
\(633\) | −0.394938 | + | 3.75758i | −0.0156974 | + | 0.149350i | ||||
\(634\) | 8.39107 | + | 1.78358i | 0.333252 | + | 0.0708349i | ||||
\(635\) | 14.8614 | + | 10.7975i | 0.589757 | + | 0.428484i | ||||
\(636\) | −2.84625 | − | 2.06792i | −0.112861 | − | 0.0819984i | ||||
\(637\) | 15.7462 | + | 3.34696i | 0.623888 | + | 0.132612i | ||||
\(638\) | −0.313495 | + | 2.98270i | −0.0124114 | + | 0.118086i | ||||
\(639\) | 0.0708236 | + | 0.673842i | 0.00280174 | + | 0.0266568i | ||||
\(640\) | −0.978148 | + | 0.207912i | −0.0386647 | + | 0.00821843i | ||||
\(641\) | −6.38768 | − | 2.84398i | −0.252298 | − | 0.112330i | 0.276691 | − | 0.960959i | \(-0.410762\pi\) |
−0.528989 | + | 0.848629i | \(0.677429\pi\) | |||||||
\(642\) | −1.92994 | + | 2.14341i | −0.0761686 | + | 0.0845938i | ||||
\(643\) | 5.14222 | + | 15.8261i | 0.202789 | + | 0.624121i | 0.999797 | + | 0.0201520i | \(0.00641503\pi\) |
−0.797008 | + | 0.603969i | \(0.793585\pi\) | |||||||
\(644\) | 3.56320 | + | 3.95734i | 0.140410 | + | 0.155941i | ||||
\(645\) | 3.05790 | − | 5.29644i | 0.120405 | − | 0.208547i | ||||
\(646\) | −6.19318 | − | 10.7269i | −0.243667 | − | 0.422044i | ||||
\(647\) | 11.1926 | − | 34.4474i | 0.440028 | − | 1.35427i | −0.447818 | − | 0.894125i | \(-0.647799\pi\) |
0.887846 | − | 0.460141i | \(-0.152201\pi\) | |||||||
\(648\) | −0.913545 | + | 0.406737i | −0.0358875 | + | 0.0159781i | ||||
\(649\) | −28.5616 | + | 20.7512i | −1.12114 | + | 0.814557i | ||||
\(650\) | −4.10877 | −0.161159 | ||||||||
\(651\) | 8.62065 | − | 4.60734i | 0.337870 | − | 0.180576i | ||||
\(652\) | 13.4578 | 0.527049 | ||||||||
\(653\) | 19.4763 | − | 14.1504i | 0.762166 | − | 0.553746i | −0.137408 | − | 0.990515i | \(-0.543877\pi\) |
0.899574 | + | 0.436768i | \(0.143877\pi\) | |||||||
\(654\) | −16.3780 | + | 7.29196i | −0.640431 | + | 0.285138i | ||||
\(655\) | −4.02845 | + | 12.3983i | −0.157405 | + | 0.484441i | ||||
\(656\) | 2.44911 | + | 4.24198i | 0.0956217 | + | 0.165622i | ||||
\(657\) | −1.55157 | + | 2.68740i | −0.0605326 | + | 0.104846i | ||||
\(658\) | 2.85261 | + | 3.16815i | 0.111206 | + | 0.123507i | ||||
\(659\) | 6.41778 | + | 19.7519i | 0.250001 | + | 0.769424i | 0.994774 | + | 0.102106i | \(0.0325580\pi\) |
−0.744773 | + | 0.667318i | \(0.767442\pi\) | |||||||
\(660\) | 1.77893 | − | 1.97570i | 0.0692447 | − | 0.0769041i | ||||
\(661\) | −5.21935 | − | 2.32380i | −0.203009 | − | 0.0903855i | 0.302714 | − | 0.953082i | \(-0.402107\pi\) |
−0.505723 | + | 0.862696i | \(0.668774\pi\) | |||||||
\(662\) | −13.8874 | + | 2.95186i | −0.539749 | + | 0.114727i | ||||
\(663\) | 1.12434 | + | 10.6974i | 0.0436658 | + | 0.415453i | ||||
\(664\) | −0.812361 | + | 7.72910i | −0.0315257 | + | 0.299947i | ||||
\(665\) | 8.12484 | + | 1.72699i | 0.315068 | + | 0.0669697i | ||||
\(666\) | 3.25494 | + | 2.36485i | 0.126126 | + | 0.0916361i | ||||
\(667\) | −2.76832 | − | 2.01130i | −0.107190 | − | 0.0778778i | ||||
\(668\) | 8.24253 | + | 1.75200i | 0.318913 | + | 0.0677871i | ||||
\(669\) | 1.90770 | − | 18.1506i | 0.0737560 | − | 0.701742i | ||||
\(670\) | 0.400338 | + | 3.80896i | 0.0154664 | + | 0.147153i | ||||
\(671\) | 7.22351 | − | 1.53540i | 0.278861 | − | 0.0592736i | ||||
\(672\) | −1.60380 | − | 0.714056i | −0.0618678 | − | 0.0275453i | ||||
\(673\) | −1.07592 | + | 1.19493i | −0.0414738 | + | 0.0460613i | −0.763525 | − | 0.645779i | \(-0.776533\pi\) |
0.722051 | + | 0.691840i | \(0.243200\pi\) | |||||||
\(674\) | −0.562733 | − | 1.73191i | −0.0216757 | − | 0.0667108i | ||||
\(675\) | 0.669131 | + | 0.743145i | 0.0257548 | + | 0.0286037i | ||||
\(676\) | −1.94099 | + | 3.36189i | −0.0746535 | + | 0.129304i | ||||
\(677\) | −2.84997 | − | 4.93629i | −0.109533 | − | 0.189717i | 0.806048 | − | 0.591850i | \(-0.201602\pi\) |
−0.915581 | + | 0.402133i | \(0.868269\pi\) | |||||||
\(678\) | −4.89589 | + | 15.0680i | −0.188026 | + | 0.578684i | ||||
\(679\) | 15.0647 | − | 6.70723i | 0.578129 | − | 0.257400i | ||||
\(680\) | 2.11792 | − | 1.53876i | 0.0812186 | − | 0.0590087i | ||||
\(681\) | 27.0158 | 1.03525 | ||||||||
\(682\) | −2.60154 | − | 14.5719i | −0.0996183 | − | 0.557986i | ||||
\(683\) | −16.7176 | −0.639682 | −0.319841 | − | 0.947471i | \(-0.603630\pi\) | ||||
−0.319841 | + | 0.947471i | \(0.603630\pi\) | |||||||
\(684\) | −3.82780 | + | 2.78106i | −0.146360 | + | 0.106336i | ||||
\(685\) | −8.30230 | + | 3.69642i | −0.317214 | + | 0.141233i | ||||
\(686\) | 5.92302 | − | 18.2292i | 0.226142 | − | 0.695993i | ||||
\(687\) | −2.81055 | − | 4.86801i | −0.107229 | − | 0.185726i | ||||
\(688\) | −3.05790 | + | 5.29644i | −0.116581 | + | 0.201925i | ||||
\(689\) | 9.67248 | + | 10.7424i | 0.368492 | + | 0.409252i | ||||
\(690\) | 0.937331 | + | 2.88481i | 0.0356836 | + | 0.109823i | ||||
\(691\) | 6.53204 | − | 7.25456i | 0.248490 | − | 0.275976i | −0.605976 | − | 0.795483i | \(-0.707217\pi\) |
0.854467 | + | 0.519506i | \(0.173884\pi\) | |||||||
\(692\) | −6.99600 | − | 3.11482i | −0.265948 | − | 0.118408i | ||||
\(693\) | 4.56532 | − | 0.970389i | 0.173422 | − | 0.0368620i | ||||
\(694\) | −0.254218 | − | 2.41872i | −0.00964998 | − | 0.0918134i | ||||
\(695\) | −0.362183 | + | 3.44594i | −0.0137384 | + | 0.130712i | ||||
\(696\) | 1.10345 | + | 0.234545i | 0.0418261 | + | 0.00889041i | ||||
\(697\) | −10.3740 | − | 7.53719i | −0.392945 | − | 0.285491i | ||||
\(698\) | −17.3663 | − | 12.6173i | −0.657323 | − | 0.477573i | ||||
\(699\) | 3.16798 | + | 0.673375i | 0.119824 | + | 0.0254694i | ||||
\(700\) | −0.183507 | + | 1.74596i | −0.00693593 | + | 0.0659909i | ||||
\(701\) | −0.133001 | − | 1.26542i | −0.00502337 | − | 0.0477941i | 0.991723 | − | 0.128395i | \(-0.0409826\pi\) |
−0.996746 | + | 0.0806012i | \(0.974316\pi\) | |||||||
\(702\) | 4.01898 | − | 0.854261i | 0.151687 | − | 0.0322420i | ||||
\(703\) | 17.3903 | + | 7.74265i | 0.655887 | + | 0.292020i | ||||
\(704\) | −1.77893 | + | 1.97570i | −0.0670459 | + | 0.0744621i | ||||
\(705\) | 0.750405 | + | 2.30951i | 0.0282619 | + | 0.0869811i | ||||
\(706\) | −4.62557 | − | 5.13722i | −0.174086 | − | 0.193342i | ||||
\(707\) | −12.8117 | + | 22.1905i | −0.481834 | + | 0.834560i | ||||
\(708\) | 6.63968 | + | 11.5003i | 0.249535 | + | 0.432207i | ||||
\(709\) | −8.34803 | + | 25.6926i | −0.313517 | + | 0.964906i | 0.662844 | + | 0.748758i | \(0.269349\pi\) |
−0.976361 | + | 0.216148i | \(0.930651\pi\) | |||||||
\(710\) | −0.618976 | + | 0.275586i | −0.0232298 | + | 0.0103426i | ||||
\(711\) | −0.686410 | + | 0.498706i | −0.0257424 | + | 0.0187029i | ||||
\(712\) | −0.184763 | −0.00692428 | ||||||||
\(713\) | 15.8823 | + | 5.74228i | 0.594798 | + | 0.215050i | ||||
\(714\) | 4.59591 | 0.171997 | ||||||||
\(715\) | −8.83725 | + | 6.42064i | −0.330494 | + | 0.240118i | ||||
\(716\) | −21.9985 | + | 9.79436i | −0.822122 | + | 0.366032i | ||||
\(717\) | −7.22199 | + | 22.2270i | −0.269710 | + | 0.830083i | ||||
\(718\) | −0.370643 | − | 0.641972i | −0.0138323 | − | 0.0239582i | ||||
\(719\) | 14.9657 | − | 25.9213i | 0.558125 | − | 0.966701i | −0.439528 | − | 0.898229i | \(-0.644854\pi\) |
0.997653 | − | 0.0684720i | \(-0.0218124\pi\) | |||||||
\(720\) | −0.669131 | − | 0.743145i | −0.0249370 | − | 0.0276954i | ||||
\(721\) | −5.80912 | − | 17.8786i | −0.216343 | − | 0.665835i | ||||
\(722\) | −2.26590 | + | 2.51654i | −0.0843281 | + | 0.0936559i | ||||
\(723\) | −21.9036 | − | 9.75213i | −0.814605 | − | 0.362686i | ||||
\(724\) | −16.9419 | + | 3.60111i | −0.629640 | + | 0.133834i | ||||
\(725\) | −0.117919 | − | 1.12192i | −0.00437939 | − | 0.0416671i | ||||
\(726\) | −0.411007 | + | 3.91047i | −0.0152539 | + | 0.145131i | ||||
\(727\) | −9.71327 | − | 2.06462i | −0.360245 | − | 0.0765725i | 0.0242335 | − | 0.999706i | \(-0.492285\pi\) |
−0.384479 | + | 0.923134i | \(0.625619\pi\) | |||||||
\(728\) | 5.83564 | + | 4.23984i | 0.216283 | + | 0.157139i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | −3.03533 | − | 0.645180i | −0.112343 | − | 0.0238792i | ||||
\(731\) | 1.67356 | − | 15.9228i | 0.0618987 | − | 0.588927i | ||||
\(732\) | −0.290356 | − | 2.76255i | −0.0107319 | − | 0.102107i | ||||
\(733\) | −52.3335 | + | 11.1238i | −1.93298 | + | 0.410868i | −0.934489 | + | 0.355992i | \(0.884143\pi\) |
−0.998493 | + | 0.0548763i | \(0.982524\pi\) | |||||||
\(734\) | 21.2630 | + | 9.46692i | 0.784833 | + | 0.349430i | ||||
\(735\) | 2.62163 | − | 2.91161i | 0.0967002 | − | 0.107397i | ||||
\(736\) | −0.937331 | − | 2.88481i | −0.0345505 | − | 0.106335i | ||||
\(737\) | 6.81319 | + | 7.56681i | 0.250967 | + | 0.278727i | ||||
\(738\) | −2.44911 | + | 4.24198i | −0.0901530 | + | 0.156150i | ||||
\(739\) | 24.2644 | + | 42.0272i | 0.892581 | + | 1.54599i | 0.836771 | + | 0.547553i | \(0.184441\pi\) |
0.0558099 | + | 0.998441i | \(0.482226\pi\) | |||||||
\(740\) | −1.24327 | + | 3.82641i | −0.0457037 | + | 0.140662i | ||||
\(741\) | 17.7596 | − | 7.90709i | 0.652416 | − | 0.290474i | ||||
\(742\) | 4.99680 | − | 3.63039i | 0.183438 | − | 0.133276i | ||||
\(743\) | 17.5424 | 0.643570 | 0.321785 | − | 0.946813i | \(-0.395717\pi\) | ||||
0.321785 | + | 0.946813i | \(0.395717\pi\) | |||||||
\(744\) | −5.55336 | + | 0.400259i | −0.203596 | + | 0.0146742i | ||||
\(745\) | −17.5799 | −0.644077 | ||||||||
\(746\) | 12.4451 | − | 9.04188i | 0.455647 | − | 0.331047i | ||||
\(747\) | −7.09977 | + | 3.16102i | −0.259767 | + | 0.115656i | ||||
\(748\) | 2.15071 | − | 6.61921i | 0.0786378 | − | 0.242022i | ||||
\(749\) | −2.53175 | − | 4.38512i | −0.0925082 | − | 0.160229i | ||||
\(750\) | −0.500000 | + | 0.866025i | −0.0182574 | + | 0.0316228i | ||||
\(751\) | 8.09398 | + | 8.98928i | 0.295354 | + | 0.328024i | 0.872497 | − | 0.488619i | \(-0.162499\pi\) |
−0.577143 | + | 0.816643i | \(0.695833\pi\) | |||||||
\(752\) | −0.750405 | − | 2.30951i | −0.0273644 | − | 0.0842191i | ||||
\(753\) | 8.15142 | − | 9.05307i | 0.297054 | − | 0.329912i | ||||
\(754\) | −4.23438 | − | 1.88527i | −0.154207 | − | 0.0686573i | ||||
\(755\) | −8.41885 | + | 1.78948i | −0.306393 | + | 0.0651259i | ||||
\(756\) | −0.183507 | − | 1.74596i | −0.00667410 | − | 0.0634998i | ||||
\(757\) | −4.76774 | + | 45.3621i | −0.173287 | + | 1.64871i | 0.469694 | + | 0.882829i | \(0.344364\pi\) |
−0.642980 | + | 0.765883i | \(0.722302\pi\) | |||||||
\(758\) | 16.2682 | + | 3.45791i | 0.590887 | + | 0.125597i | ||||
\(759\) | 6.52403 | + | 4.73999i | 0.236807 | + | 0.172051i | ||||
\(760\) | −3.82780 | − | 2.78106i | −0.138849 | − | 0.100880i | ||||
\(761\) | −11.0358 | − | 2.34572i | −0.400046 | − | 0.0850324i | 0.00349519 | − | 0.999994i | \(-0.498887\pi\) |
−0.403541 | + | 0.914961i | \(0.632221\pi\) | |||||||
\(762\) | 1.92016 | − | 18.2691i | 0.0695600 | − | 0.661819i | ||||
\(763\) | −3.28991 | − | 31.3014i | −0.119103 | − | 1.13319i | ||||
\(764\) | 14.0043 | − | 2.97671i | 0.506659 | − | 0.107694i | ||||
\(765\) | 2.39157 | + | 1.06479i | 0.0864672 | + | 0.0384977i | ||||
\(766\) | 15.4362 | − | 17.1437i | 0.557734 | − | 0.619426i | ||||
\(767\) | −16.8605 | − | 51.8914i | −0.608799 | − | 1.87369i | ||||
\(768\) | 0.669131 | + | 0.743145i | 0.0241452 | + | 0.0268159i | ||||
\(769\) | −23.9159 | + | 41.4236i | −0.862431 | + | 1.49377i | 0.00714425 | + | 0.999974i | \(0.497726\pi\) |
−0.869575 | + | 0.493800i | \(0.835607\pi\) | |||||||
\(770\) | 2.33366 | + | 4.04201i | 0.0840991 | + | 0.145664i | ||||
\(771\) | −2.84891 | + | 8.76804i | −0.102601 | + | 0.315773i | ||||
\(772\) | −1.24115 | + | 0.552594i | −0.0446698 | + | 0.0198883i | ||||
\(773\) | −13.2118 | + | 9.59891i | −0.475194 | + | 0.345249i | −0.799462 | − | 0.600717i | \(-0.794882\pi\) |
0.324268 | + | 0.945965i | \(0.394882\pi\) | |||||||
\(774\) | −6.11581 | −0.219828 | ||||||||
\(775\) | 2.09675 | + | 5.15787i | 0.0753175 | + | 0.185276i | ||||
\(776\) | −9.39314 | −0.337194 | ||||||||
\(777\) | −5.71428 | + | 4.15167i | −0.204999 | + | 0.148940i | ||||
\(778\) | −2.13888 | + | 0.952293i | −0.0766827 | + | 0.0341414i | ||||
\(779\) | −7.16164 | + | 22.0413i | −0.256592 | + | 0.789710i | ||||
\(780\) | 2.05438 | + | 3.55830i | 0.0735588 | + | 0.127408i | ||||
\(781\) | −0.900661 | + | 1.55999i | −0.0322282 | + | 0.0558209i | ||||
\(782\) | 5.31341 | + | 5.90114i | 0.190007 | + | 0.211024i | ||||
\(783\) | 0.348602 | + | 1.07289i | 0.0124580 | + | 0.0383418i | ||||
\(784\) | −2.62163 | + | 2.91161i | −0.0936296 | + | 0.103986i | ||||
\(785\) | 5.12572 | + | 2.28212i | 0.182945 | + | 0.0814522i | ||||
\(786\) | 12.7515 | − | 2.71041i | 0.454830 | − | 0.0966770i | ||||
\(787\) | −0.832822 | − | 7.92377i | −0.0296869 | − | 0.282452i | −0.999287 | − | 0.0377568i | \(-0.987979\pi\) |
0.969600 | − | 0.244695i | \(-0.0786879\pi\) | |||||||
\(788\) | −1.06923 | + | 10.1730i | −0.0380896 | + | 0.362398i | ||||
\(789\) | −25.5163 | − | 5.42365i | −0.908403 | − | 0.193087i | ||||
\(790\) | −0.686410 | − | 0.498706i | −0.0244214 | − | 0.0177432i | ||||
\(791\) | −22.5023 | − | 16.3489i | −0.800088 | − | 0.581298i | ||||
\(792\) | −2.60047 | − | 0.552747i | −0.0924038 | − | 0.0196410i | ||||
\(793\) | −1.19301 | + | 11.3507i | −0.0423649 | + | 0.403075i | ||||
\(794\) | 0.270175 | + | 2.57055i | 0.00958816 | + | 0.0912253i | ||||
\(795\) | 3.44128 | − | 0.731466i | 0.122050 | − | 0.0259424i | ||||
\(796\) | 2.81046 | + | 1.25130i | 0.0996141 | + | 0.0443511i | ||||
\(797\) | 10.4520 | − | 11.6081i | 0.370227 | − | 0.411179i | −0.529027 | − | 0.848605i | \(-0.677443\pi\) |
0.899254 | + | 0.437426i | \(0.144110\pi\) | |||||||
\(798\) | −2.56680 | − | 7.89981i | −0.0908639 | − | 0.279650i | ||||
\(799\) | 4.25379 | + | 4.72431i | 0.150488 | + | 0.167134i | ||||
\(800\) | 0.500000 | − | 0.866025i | 0.0176777 | − | 0.0306186i | ||||
\(801\) | −0.0923814 | − | 0.160009i | −0.00326414 | − | 0.00565365i | ||||
\(802\) | 5.29424 | − | 16.2940i | 0.186946 | − | 0.575361i | ||||
\(803\) | −7.53668 | + | 3.35555i | −0.265964 | + | 0.118415i | ||||
\(804\) | 3.09848 | − | 2.25118i | 0.109275 | − | 0.0793930i | ||||
\(805\) | −5.32512 | −0.187686 | ||||||||
\(806\) | 22.6608 | + | 3.13538i | 0.798192 | + | 0.110439i | ||||
\(807\) | −6.08821 | −0.214315 | ||||||||
\(808\) | 11.8080 | − | 8.57900i | 0.415403 | − | 0.301808i | ||||
\(809\) | 17.7773 | − | 7.91498i | 0.625018 | − | 0.278276i | −0.0696889 | − | 0.997569i | \(-0.522201\pi\) |
0.694707 | + | 0.719293i | \(0.255534\pi\) | |||||||
\(810\) | 0.309017 | − | 0.951057i | 0.0108578 | − | 0.0334167i | ||||
\(811\) | 27.2776 | + | 47.2461i | 0.957845 | + | 1.65904i | 0.727719 | + | 0.685875i | \(0.240580\pi\) |
0.230126 | + | 0.973161i | \(0.426086\pi\) | |||||||
\(812\) | −0.990231 | + | 1.71513i | −0.0347503 | + | 0.0601893i | ||||
\(813\) | 7.26459 | + | 8.06815i | 0.254780 | + | 0.282962i | ||||
\(814\) | 3.30533 | + | 10.1728i | 0.115852 | + | 0.356555i | ||||
\(815\) | −9.00504 | + | 10.0011i | −0.315433 | + | 0.350323i | ||||
\(816\) | −2.39157 | − | 1.06479i | −0.0837216 | − | 0.0372752i | ||||
\(817\) | −28.3041 | + | 6.01623i | −0.990236 | + | 0.210481i | ||||
\(818\) | −3.58423 | − | 34.1016i | −0.125319 | − | 1.19234i | ||||
\(819\) | −0.753989 | + | 7.17373i | −0.0263465 | + | 0.250670i | ||||
\(820\) | −4.79118 | − | 1.01840i | −0.167315 | − | 0.0355640i | ||||
\(821\) | 30.9566 | + | 22.4913i | 1.08039 | + | 0.784950i | 0.977751 | − | 0.209768i | \(-0.0672709\pi\) |
0.102640 | + | 0.994719i | \(0.467271\pi\) | |||||||
\(822\) | 7.35234 | + | 5.34179i | 0.256442 | + | 0.186316i | ||||
\(823\) | −8.60558 | − | 1.82917i | −0.299972 | − | 0.0637610i | 0.0554671 | − | 0.998461i | \(-0.482335\pi\) |
−0.355439 | + | 0.934700i | \(0.615669\pi\) | |||||||
\(824\) | −1.11929 | + | 10.6494i | −0.0389924 | + | 0.370988i | ||||
\(825\) | 0.277896 | + | 2.64400i | 0.00967510 | + | 0.0920524i | ||||
\(826\) | −22.8035 | + | 4.84702i | −0.793434 | + | 0.168650i | ||||
\(827\) | −28.7111 | − | 12.7830i | −0.998383 | − | 0.444509i | −0.158549 | − | 0.987351i | \(-0.550681\pi\) |
−0.839835 | + | 0.542842i | \(0.817348\pi\) | |||||||
\(828\) | 2.02965 | − | 2.25416i | 0.0705353 | − | 0.0783373i | ||||
\(829\) | 16.3542 | + | 50.3331i | 0.568005 | + | 1.74814i | 0.658849 | + | 0.752275i | \(0.271043\pi\) |
−0.0908443 | + | 0.995865i | \(0.528957\pi\) | |||||||
\(830\) | −5.20026 | − | 5.77548i | −0.180504 | − | 0.200470i | ||||
\(831\) | −9.31660 | + | 16.1368i | −0.323189 | + | 0.559780i | ||||
\(832\) | −2.05438 | − | 3.55830i | −0.0712230 | − | 0.123362i | ||||
\(833\) | 3.16953 | − | 9.75481i | 0.109818 | − | 0.337984i | ||||
\(834\) | 3.16536 | − | 1.40931i | 0.109607 | − | 0.0488004i | ||||
\(835\) | −6.81732 | + | 4.95307i | −0.235923 | + | 0.171408i | ||||
\(836\) | −12.5788 | −0.435047 | ||||||||
\(837\) | −3.12331 | − | 4.60922i | −0.107958 | − | 0.159318i | ||||
\(838\) | −20.6234 | −0.712424 | ||||||||
\(839\) | −21.4817 | + | 15.6074i | −0.741631 | + | 0.538826i | −0.893221 | − | 0.449617i | \(-0.851560\pi\) |
0.151591 | + | 0.988443i | \(0.451560\pi\) | |||||||
\(840\) | 1.60380 | − | 0.714056i | 0.0553362 | − | 0.0246373i | ||||
\(841\) | −8.56823 | + | 26.3703i | −0.295456 | + | 0.909321i | ||||
\(842\) | −4.55304 | − | 7.88610i | −0.156908 | − | 0.271773i | ||||
\(843\) | 2.06198 | − | 3.57146i | 0.0710185 | − | 0.123008i | ||||
\(844\) | 2.52816 | + | 2.80781i | 0.0870229 | + | 0.0966487i | ||||
\(845\) | −1.19960 | − | 3.69198i | −0.0412674 | − | 0.127008i | ||||
\(846\) | 1.62489 | − | 1.80462i | 0.0558649 | − | 0.0620442i | ||||
\(847\) | −6.30615 | − | 2.80768i | −0.216682 | − | 0.0964729i | ||||
\(848\) | −3.44128 | + | 0.731466i | −0.118174 | + | 0.0251186i | ||||
\(849\) | 0.515989 | + | 4.90931i | 0.0177087 | + | 0.168487i | ||||
\(850\) | −0.273645 | + | 2.60355i | −0.00938593 | + | 0.0893012i | ||||
\(851\) | −11.9371 | − | 2.53731i | −0.409199 | − | 0.0869780i | ||||
\(852\) | 0.548152 | + | 0.398256i | 0.0187794 | + | 0.0136440i | ||||
\(853\) | 26.6130 | + | 19.3355i | 0.911212 | + | 0.662034i | 0.941321 | − | 0.337512i | \(-0.109586\pi\) |
−0.0301092 | + | 0.999547i | \(0.509586\pi\) | |||||||
\(854\) | 4.77001 | + | 1.01390i | 0.163226 | + | 0.0346948i | ||||
\(855\) | 0.494568 | − | 4.70550i | 0.0169139 | − | 0.160925i | ||||
\(856\) | 0.301486 | + | 2.86845i | 0.0103046 | + | 0.0980415i | ||||
\(857\) | −51.4329 | + | 10.9324i | −1.75691 | + | 0.373443i | −0.969902 | − | 0.243496i | \(-0.921706\pi\) |
−0.787011 | + | 0.616939i | \(0.788372\pi\) | |||||||
\(858\) | 9.97906 | + | 4.44296i | 0.340680 | + | 0.151680i | ||||
\(859\) | −11.3051 | + | 12.5556i | −0.385726 | + | 0.428392i | −0.904470 | − | 0.426537i | \(-0.859733\pi\) |
0.518744 | + | 0.854930i | \(0.326400\pi\) | |||||||
\(860\) | −1.88989 | − | 5.81648i | −0.0644446 | − | 0.198340i | ||||
\(861\) | −5.75398 | − | 6.39044i | −0.196095 | − | 0.217786i | ||||
\(862\) | 10.6193 | − | 18.3932i | 0.361695 | − | 0.626474i | ||||
\(863\) | 16.4172 | + | 28.4353i | 0.558846 | + | 0.967950i | 0.997593 | + | 0.0693395i | \(0.0220892\pi\) |
−0.438747 | + | 0.898611i | \(0.644577\pi\) | |||||||
\(864\) | −0.309017 | + | 0.951057i | −0.0105130 | + | 0.0323556i | ||||
\(865\) | 6.99600 | − | 3.11482i | 0.237871 | − | 0.105907i | ||||
\(866\) | 13.6972 | − | 9.95160i | 0.465450 | − | 0.338169i | ||||
\(867\) | −10.1466 | −0.344598 | ||||||||
\(868\) | 2.34442 | − | 9.48930i | 0.0795746 | − | 0.322088i | ||||
\(869\) | −2.25566 | −0.0765181 | ||||||||
\(870\) | −0.912652 | + | 0.663081i | −0.0309418 | + | 0.0224805i | ||||
\(871\) | −14.3759 | + | 6.40054i | −0.487107 | + | 0.216874i | ||||
\(872\) | −5.54005 | + | 17.0505i | −0.187610 | + | 0.577403i | ||||
\(873\) | −4.69657 | − | 8.13470i | −0.158955 | − | 0.275318i | ||||
\(874\) | 7.17583 | − | 12.4289i | 0.242726 | − | 0.420414i | ||||
\(875\) | −1.17471 | − | 1.30465i | −0.0397124 | − | 0.0441051i | ||||
\(876\) | 0.958925 | + | 2.95127i | 0.0323991 | + | 0.0997141i | ||||
\(877\) | −26.9811 | + | 29.9656i | −0.911089 | + | 1.01187i | 0.0887863 | + | 0.996051i | \(0.471701\pi\) |
−0.999875 | + | 0.0158157i | \(0.994965\pi\) | |||||||
\(878\) | −10.1392 | − | 4.51428i | −0.342183 | − | 0.152350i | ||||
\(879\) | −1.62370 | + | 0.345127i | −0.0547659 | + | 0.0116408i | ||||
\(880\) | −0.277896 | − | 2.64400i | −0.00936788 | − | 0.0891294i | ||||
\(881\) | −0.580362 | + | 5.52177i | −0.0195529 | + | 0.186033i | −0.999939 | − | 0.0110536i | \(-0.996481\pi\) |
0.980386 | + | 0.197087i | \(0.0631481\pi\) | |||||||
\(882\) | −3.83235 | − | 0.814590i | −0.129042 | − | 0.0274287i | ||||
\(883\) | 14.3415 | + | 10.4197i | 0.482631 | + | 0.350652i | 0.802343 | − | 0.596863i | \(-0.203586\pi\) |
−0.319712 | + | 0.947515i | \(0.603586\pi\) | |||||||
\(884\) | 8.70205 | + | 6.32241i | 0.292682 | + | 0.212646i | ||||
\(885\) | −12.9892 | − | 2.76094i | −0.436627 | − | 0.0928078i | ||||
\(886\) | −1.63166 | + | 15.5242i | −0.0548166 | + | 0.521545i | ||||
\(887\) | −3.44633 | − | 32.7896i | −0.115716 | − | 1.10097i | −0.886134 | − | 0.463428i | \(-0.846619\pi\) |
0.770418 | − | 0.637539i | \(-0.220048\pi\) | |||||||
\(888\) | 3.93540 | − | 0.836496i | 0.132063 | − | 0.0280710i | ||||
\(889\) | 29.4613 | + | 13.1170i | 0.988100 | + | 0.439930i | ||||
\(890\) | 0.123630 | − | 0.137306i | 0.00414410 | − | 0.00460249i | ||||
\(891\) | −0.821543 | − | 2.52845i | −0.0275227 | − | 0.0847062i | ||||
\(892\) | −12.2120 | − | 13.5628i | −0.408888 | − | 0.454116i | ||||
\(893\) | 5.74480 | − | 9.95028i | 0.192242 | − | 0.332973i | ||||
\(894\) | 8.78994 | + | 15.2246i | 0.293980 | + | 0.509187i | ||||
\(895\) | 7.44124 | − | 22.9018i | 0.248733 | − | 0.765522i | ||||
\(896\) | −1.60380 | + | 0.714056i | −0.0535791 | + | 0.0238549i | ||||
\(897\) | −10.0828 | + | 7.32556i | −0.336654 | + | 0.244593i | ||||
\(898\) | 7.55783 | 0.252208 | ||||||||
\(899\) | −0.205785 | + | 6.27762i | −0.00686332 | + | 0.209370i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | 7.45118 | − | 5.41360i | 0.248235 | − | 0.180353i | ||||
\(902\) | −11.8964 | + | 5.29663i | −0.396108 | + | 0.176358i | ||||
\(903\) | 3.31784 | − | 10.2112i | 0.110411 | − | 0.339809i | ||||
\(904\) | 7.92172 | + | 13.7208i | 0.263473 | + | 0.456348i | ||||
\(905\) | 8.66018 | − | 14.9999i | 0.287874 | − | 0.498613i | ||||
\(906\) | 5.75916 | + | 6.39620i | 0.191335 | + | 0.212499i | ||||
\(907\) | −14.8019 | − | 45.5556i | −0.491489 | − | 1.51265i | −0.822357 | − | 0.568971i | \(-0.807342\pi\) |
0.330868 | − | 0.943677i | \(-0.392658\pi\) | |||||||
\(908\) | 18.0771 | − | 20.0767i | 0.599910 | − | 0.666268i | ||||
\(909\) | 13.3336 | + | 5.93651i | 0.442248 | + | 0.196902i | ||||
\(910\) | −7.05562 | + | 1.49972i | −0.233891 | + | 0.0497152i | ||||
\(911\) | 1.42225 | + | 13.5318i | 0.0471213 | + | 0.448330i | 0.992490 | + | 0.122326i | \(0.0390354\pi\) |
−0.945369 | + | 0.326003i | \(0.894298\pi\) | |||||||
\(912\) | −0.494568 | + | 4.70550i | −0.0163768 | + | 0.155815i | ||||
\(913\) | −20.2100 | − | 4.29577i | −0.668854 | − | 0.142169i | ||||
\(914\) | −18.7211 | − | 13.6017i | −0.619239 | − | 0.449904i | ||||
\(915\) | 2.24726 | + | 1.63273i | 0.0742922 | + | 0.0539764i | ||||
\(916\) | −5.49826 | − | 1.16869i | −0.181668 | − | 0.0386147i | ||||
\(917\) | −2.39226 | + | 22.7609i | −0.0789995 | + | 0.751630i | ||||
\(918\) | −0.273645 | − | 2.60355i | −0.00903161 | − | 0.0859301i | ||||
\(919\) | 32.9532 | − | 7.00442i | 1.08703 | − | 0.231055i | 0.370653 | − | 0.928771i | \(-0.379134\pi\) |
0.716374 | + | 0.697717i | \(0.245801\pi\) | |||||||
\(920\) | 2.77103 | + | 1.23374i | 0.0913580 | + | 0.0406752i | ||||
\(921\) | 13.5611 | − | 15.0611i | 0.446854 | − | 0.496282i | ||||
\(922\) | −12.2208 | − | 37.6117i | −0.402471 | − | 1.23868i | ||||
\(923\) | −1.86280 | − | 2.06885i | −0.0613148 | − | 0.0680970i | ||||
\(924\) | 2.33366 | − | 4.04201i | 0.0767716 | − | 0.132972i | ||||
\(925\) | −2.01166 | − | 3.48430i | −0.0661430 | − | 0.114563i | ||||
\(926\) | 11.2877 | − | 34.7400i | 0.370937 | − | 1.14163i | ||||
\(927\) | −9.78227 | + | 4.35535i | −0.321292 | + | 0.143048i | ||||
\(928\) | 0.912652 | − | 0.663081i | 0.0299593 | − | 0.0217667i | ||||
\(929\) | −58.1840 | −1.90895 | −0.954477 | − | 0.298284i | \(-0.903586\pi\) | ||||
−0.954477 | + | 0.298284i | \(0.903586\pi\) | |||||||
\(930\) | 3.41847 | − | 4.39478i | 0.112096 | − | 0.144110i | ||||
\(931\) | −18.5375 | −0.607543 | ||||||||
\(932\) | 2.62021 | − | 1.90369i | 0.0858278 | − | 0.0623575i | ||||
\(933\) | 5.39127 | − | 2.40035i | 0.176502 | − | 0.0785839i | ||||
\(934\) | 6.87881 | − | 21.1708i | 0.225082 | − | 0.692730i | ||||
\(935\) | 3.47993 | + | 6.02741i | 0.113806 | + | 0.197117i | ||||
\(936\) | 2.05438 | − | 3.55830i | 0.0671497 | − | 0.116307i | ||||
\(937\) | 6.82705 | + | 7.58220i | 0.223030 | + | 0.247700i | 0.844267 | − | 0.535923i | \(-0.180036\pi\) |
−0.621237 | + | 0.783623i | \(0.713370\pi\) | |||||||
\(938\) | 2.07775 | + | 6.39465i | 0.0678409 | + | 0.208793i | ||||
\(939\) | −1.18894 | + | 1.32045i | −0.0387994 | + | 0.0430911i | ||||
\(940\) | 2.21842 | + | 0.987703i | 0.0723568 | + | 0.0322153i | ||||
\(941\) | 5.78057 | − | 1.22870i | 0.188441 | − | 0.0400544i | −0.112724 | − | 0.993626i | \(-0.535958\pi\) |
0.301165 | + | 0.953572i | \(0.402624\pi\) | |||||||
\(942\) | −0.586488 | − | 5.58006i | −0.0191088 | − | 0.181808i | ||||
\(943\) | 1.55304 | − | 14.7762i | 0.0505741 | − | 0.481180i | ||||
\(944\) | 12.9892 | + | 2.76094i | 0.422762 | + | 0.0898608i | ||||
\(945\) | 1.42029 | + | 1.03190i | 0.0462020 | + | 0.0335677i | ||||
\(946\) | −13.1540 | − | 9.55697i | −0.427675 | − | 0.310724i | ||||
\(947\) | −53.2388 | − | 11.3162i | −1.73003 | − | 0.367729i | −0.767951 | − | 0.640509i | \(-0.778723\pi\) |
−0.962076 | + | 0.272780i | \(0.912057\pi\) | |||||||
\(948\) | −0.0886871 | + | 0.843802i | −0.00288042 | + | 0.0274054i | ||||
\(949\) | −1.33275 | − | 12.6803i | −0.0432629 | − | 0.411619i | ||||
\(950\) | 4.62803 | − | 0.983718i | 0.150153 | − | 0.0319160i | ||||
\(951\) | 7.83688 | + | 3.48920i | 0.254128 | + | 0.113145i | ||||
\(952\) | 3.07526 | − | 3.41542i | 0.0996698 | − | 0.110695i | ||||
\(953\) | 8.78626 | + | 27.0413i | 0.284615 | + | 0.875955i | 0.986514 | + | 0.163678i | \(0.0523359\pi\) |
−0.701899 | + | 0.712277i | \(0.747664\pi\) | |||||||
\(954\) | −2.35411 | − | 2.61450i | −0.0762170 | − | 0.0846476i | ||||
\(955\) | −7.15860 | + | 12.3991i | −0.231647 | + | 0.401224i | ||||
\(956\) | 11.6854 | + | 20.2398i | 0.377934 | + | 0.654601i | ||||
\(957\) | −0.926782 | + | 2.85234i | −0.0299586 | + | 0.0922032i | ||||
\(958\) | −26.4785 | + | 11.7890i | −0.855482 | + | 0.380885i | ||||
\(959\) | −12.9076 | + | 9.37790i | −0.416807 | + | 0.302828i | ||||
\(960\) | −1.00000 | −0.0322749 | ||||||||
\(961\) | −7.62810 | − | 30.0468i | −0.246068 | − | 0.969253i | ||||
\(962\) | −16.5309 | −0.532978 | ||||||||
\(963\) | −2.33340 | + | 1.69532i | −0.0751929 | + | 0.0546308i | ||||
\(964\) | −21.9036 | + | 9.75213i | −0.705469 | + | 0.314095i | ||||
\(965\) | 0.419832 | − | 1.29211i | 0.0135149 | − | 0.0415945i | ||||
\(966\) | 2.66256 | + | 4.61169i | 0.0856665 | + | 0.148379i | ||||
\(967\) | 5.63591 | − | 9.76168i | 0.181239 | − | 0.313914i | −0.761064 | − | 0.648677i | \(-0.775323\pi\) |
0.942303 | + | 0.334762i | \(0.108656\pi\) | |||||||
\(968\) | 2.63103 | + | 2.92206i | 0.0845645 | + | 0.0939184i | ||||
\(969\) | −3.82760 | − | 11.7801i | −0.122960 | − | 0.378432i | ||||
\(970\) | 6.28524 | − | 6.98046i | 0.201807 | − | 0.224129i | ||||
\(971\) | −45.8715 | − | 20.4233i | −1.47209 | − | 0.655416i | −0.495124 | − | 0.868822i | \(-0.664877\pi\) |
−0.976963 | + | 0.213407i | \(0.931544\pi\) | |||||||
\(972\) | −0.978148 | + | 0.207912i | −0.0313741 | + | 0.00666877i | ||||
\(973\) | 0.635838 | + | 6.04960i | 0.0203840 | + | 0.193941i | ||||
\(974\) | 1.71978 | − | 16.3626i | 0.0551052 | − | 0.524291i | ||||
\(975\) | −4.01898 | − | 0.854261i | −0.128710 | − | 0.0273582i | ||||
\(976\) | −2.24726 | − | 1.63273i | −0.0719331 | − | 0.0522625i | ||||
\(977\) | −21.6307 | − | 15.7156i | −0.692028 | − | 0.502788i | 0.185298 | − | 0.982682i | \(-0.440675\pi\) |
−0.877326 | + | 0.479894i | \(0.840675\pi\) | |||||||
\(978\) | 13.1637 | + | 2.79804i | 0.420930 | + | 0.0894714i | ||||
\(979\) | 0.0513449 | − | 0.488514i | 0.00164099 | − | 0.0156130i | ||||
\(980\) | −0.409539 | − | 3.89650i | −0.0130822 | − | 0.124469i | ||||
\(981\) | −17.5362 | + | 3.72744i | −0.559888 | + | 0.119008i | ||||
\(982\) | 18.9370 | + | 8.43131i | 0.604305 | + | 0.269054i | ||||
\(983\) | 5.21985 | − | 5.79723i | 0.166487 | − | 0.184903i | −0.654128 | − | 0.756384i | \(-0.726964\pi\) |
0.820615 | + | 0.571481i | \(0.193631\pi\) | |||||||
\(984\) | 1.51363 | + | 4.65849i | 0.0482529 | + | 0.148507i | ||||
\(985\) | −6.84456 | − | 7.60166i | −0.218086 | − | 0.242209i | ||||
\(986\) | −1.47662 | + | 2.55759i | −0.0470253 | + | 0.0814502i | ||||
\(987\) | 2.13158 | + | 3.69201i | 0.0678490 | + | 0.117518i | ||||
\(988\) | 6.00739 | − | 18.4888i | 0.191120 | − | 0.588208i | ||||
\(989\) | 16.9471 | − | 7.54532i | 0.538885 | − | 0.239927i | ||||
\(990\) | 2.15083 | − | 1.56267i | 0.0683578 | − | 0.0496648i | ||||
\(991\) | 25.2253 | 0.801309 | 0.400654 | − | 0.916229i | \(-0.368783\pi\) | ||||
0.400654 | + | 0.916229i | \(0.368783\pi\) | |||||||
\(992\) | −3.41847 | + | 4.39478i | −0.108537 | + | 0.139534i | ||||
\(993\) | −14.1977 | −0.450549 | ||||||||
\(994\) | −0.962321 | + | 0.699167i | −0.0305230 | + | 0.0221762i | ||||
\(995\) | −2.81046 | + | 1.25130i | −0.0890976 | + | 0.0396688i | ||||
\(996\) | −2.40158 | + | 7.39130i | −0.0760969 | + | 0.234202i | ||||
\(997\) | −21.5008 | − | 37.2405i | −0.680938 | − | 1.17942i | −0.974695 | − | 0.223539i | \(-0.928239\pi\) |
0.293757 | − | 0.955880i | \(-0.405094\pi\) | |||||||
\(998\) | −2.36400 | + | 4.09457i | −0.0748312 | + | 0.129611i | ||||
\(999\) | 2.69213 | + | 2.98991i | 0.0851752 | + | 0.0945966i |
(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 | 930.2.bg.i.421.3 | yes | 24 | |
31.19 | even | 15 | inner | 930.2.bg.i.391.3 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.i.391.3 | ✓ | 24 | 31.19 | even | 15 | inner | |
930.2.bg.i.421.3 | yes | 24 | 1.1 | even | 1 | trivial |