Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(62,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.w (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 251.8 | ||
Character | \(\chi\) | \(=\) | 441.251 |
Dual form | 441.2.w.a.188.8 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.920203 | − | 0.733838i | −0.650682 | − | 0.518902i | 0.241602 | − | 0.970375i | \(-0.422327\pi\) |
−0.892284 | + | 0.451474i | \(0.850898\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.136785 | − | 0.599296i | −0.0683927 | − | 0.299648i | ||||
\(5\) | 1.46088 | + | 0.703524i | 0.653327 | + | 0.314626i | 0.731024 | − | 0.682351i | \(-0.239043\pi\) |
−0.0776976 | + | 0.996977i | \(0.524757\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.01956 | − | 1.70920i | −0.763322 | − | 0.646018i | ||||
\(8\) | −1.33526 | + | 2.77270i | −0.472087 | + | 0.980299i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.828037 | − | 1.71944i | −0.261848 | − | 0.543734i | ||||
\(11\) | −2.35512 | − | 1.87814i | −0.710095 | − | 0.566282i | 0.200444 | − | 0.979705i | \(-0.435762\pi\) |
−0.910539 | + | 0.413423i | \(0.864333\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.44072 | − | 1.94641i | −0.676935 | − | 0.539838i | 0.223567 | − | 0.974688i | \(-0.428230\pi\) |
−0.900503 | + | 0.434851i | \(0.856801\pi\) | |||||||
\(14\) | 0.604130 | + | 3.05484i | 0.161460 | + | 0.816441i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.15577 | − | 1.03816i | 0.538941 | − | 0.259540i | ||||
\(17\) | −0.882993 | + | 3.86864i | −0.214157 | + | 0.938284i | 0.747550 | + | 0.664205i | \(0.231230\pi\) |
−0.961707 | + | 0.274079i | \(0.911627\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 6.34682i | − | 1.45606i | −0.685545 | − | 0.728030i | \(-0.740436\pi\) | ||
0.685545 | − | 0.728030i | \(-0.259564\pi\) | |||||||
\(20\) | 0.221792 | − | 0.971733i | 0.0495941 | − | 0.217286i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.788935 | + | 3.45655i | 0.168202 | + | 0.736939i | ||||
\(23\) | 1.23051 | − | 0.280855i | 0.256579 | − | 0.0585624i | −0.0922967 | − | 0.995732i | \(-0.529421\pi\) |
0.348875 | + | 0.937169i | \(0.386564\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.47822 | − | 1.85362i | −0.295643 | − | 0.370725i | ||||
\(26\) | 0.817612 | + | 3.58219i | 0.160347 | + | 0.702526i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.748071 | + | 1.44411i | −0.141372 | + | 0.272911i | ||||
\(29\) | −7.25165 | − | 1.65514i | −1.34660 | − | 0.307352i | −0.512367 | − | 0.858767i | \(-0.671231\pi\) |
−0.834232 | + | 0.551414i | \(0.814088\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.49304i | 0.268158i | 0.990971 | + | 0.134079i | \(0.0428076\pi\) | ||||
−0.990971 | + | 0.134079i | \(0.957192\pi\) | |||||||
\(32\) | 3.25504 | + | 0.742941i | 0.575415 | + | 0.131335i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.65149 | − | 2.91197i | 0.626225 | − | 0.499398i | ||||
\(35\) | −1.74788 | − | 3.91776i | −0.295445 | − | 0.662221i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.72116 | + | 7.54089i | −0.282957 | + | 1.23971i | 0.611025 | + | 0.791611i | \(0.290757\pi\) |
−0.893982 | + | 0.448103i | \(0.852100\pi\) | |||||||
\(38\) | −4.65754 | + | 5.84036i | −0.755552 | + | 0.947432i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.90133 | + | 3.11121i | −0.616854 | + | 0.491925i | ||||
\(41\) | −9.09214 | − | 4.37855i | −1.41995 | − | 0.683814i | −0.442854 | − | 0.896594i | \(-0.646034\pi\) |
−0.977100 | + | 0.212780i | \(0.931748\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.978095 | + | 0.471026i | −0.149158 | + | 0.0718308i | −0.506974 | − | 0.861961i | \(-0.669236\pi\) |
0.357816 | + | 0.933792i | \(0.383522\pi\) | |||||||
\(44\) | −0.803418 | + | 1.66832i | −0.121120 | + | 0.251508i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.33842 | − | 0.644549i | −0.197339 | − | 0.0950336i | ||||
\(47\) | 5.44608 | − | 6.82916i | 0.794392 | − | 0.996136i | −0.205455 | − | 0.978666i | \(-0.565868\pi\) |
0.999847 | − | 0.0174695i | \(-0.00556100\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.15725 | + | 6.90368i | 0.165322 | + | 0.986240i | ||||
\(50\) | 2.79048i | 0.394634i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.832622 | + | 1.72896i | −0.115464 | + | 0.239763i | ||||
\(53\) | −0.104261 | + | 0.0237970i | −0.0143214 | + | 0.00326877i | −0.229676 | − | 0.973267i | \(-0.573767\pi\) |
0.215354 | + | 0.976536i | \(0.430909\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.11923 | − | 4.40063i | −0.285757 | − | 0.593381i | ||||
\(56\) | 7.43576 | − | 3.31741i | 0.993645 | − | 0.443308i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.45839 | + | 6.84461i | 0.716722 | + | 0.898741i | ||||
\(59\) | −1.54958 | + | 0.746240i | −0.201739 | + | 0.0971522i | −0.532025 | − | 0.846728i | \(-0.678569\pi\) |
0.330287 | + | 0.943881i | \(0.392855\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.5852 | − | 2.41600i | −1.35529 | − | 0.309337i | −0.517668 | − | 0.855581i | \(-0.673200\pi\) |
−0.837626 | + | 0.546244i | \(0.816057\pi\) | |||||||
\(62\) | 1.09565 | − | 1.37390i | 0.139148 | − | 0.174486i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.43377 | − | 6.81373i | −0.679221 | − | 0.851717i | ||||
\(65\) | −2.19626 | − | 4.56059i | −0.272413 | − | 0.565672i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 11.0005 | 1.34392 | 0.671961 | − | 0.740587i | \(-0.265452\pi\) | ||||
0.671961 | + | 0.740587i | \(0.265452\pi\) | |||||||
\(68\) | 2.43924 | 0.295802 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.26659 | + | 4.88779i | −0.151387 | + | 0.584203i | ||||
\(71\) | −3.29503 | + | 0.752069i | −0.391048 | + | 0.0892542i | −0.413524 | − | 0.910493i | \(-0.635702\pi\) |
0.0224758 | + | 0.999747i | \(0.492845\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.80135 | − | 7.01884i | 1.03012 | − | 0.821493i | 0.0459897 | − | 0.998942i | \(-0.485356\pi\) |
0.984130 | + | 0.177449i | \(0.0567844\pi\) | |||||||
\(74\) | 7.11761 | − | 5.67610i | 0.827405 | − | 0.659833i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.80362 | + | 0.868152i | −0.436305 | + | 0.0995838i | ||||
\(77\) | 1.54618 | + | 7.81840i | 0.176203 | + | 0.890990i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 14.5682 | 1.63905 | 0.819525 | − | 0.573044i | \(-0.194238\pi\) | ||||
0.819525 | + | 0.573044i | \(0.194238\pi\) | |||||||
\(80\) | 3.87969 | 0.433763 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.15348 | + | 10.7013i | 0.569107 | + | 1.18176i | ||||
\(83\) | −2.15744 | − | 2.70535i | −0.236810 | − | 0.296950i | 0.649199 | − | 0.760619i | \(-0.275104\pi\) |
−0.886009 | + | 0.463668i | \(0.846533\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.01163 | + | 5.03043i | −0.435123 | + | 0.545627i | ||||
\(86\) | 1.24570 | + | 0.284324i | 0.134328 | + | 0.0306594i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 8.35225 | − | 4.02223i | 0.890352 | − | 0.428771i | ||||
\(89\) | 7.65264 | + | 9.59610i | 0.811178 | + | 1.01718i | 0.999385 | + | 0.0350556i | \(0.0111608\pi\) |
−0.188207 | + | 0.982129i | \(0.560268\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.60238 | + | 8.10259i | 0.167975 | + | 0.849382i | ||||
\(92\) | −0.336631 | − | 0.699021i | −0.0350962 | − | 0.0728780i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −10.0230 | + | 2.28768i | −1.03379 | + | 0.235957i | ||||
\(95\) | 4.46514 | − | 9.27196i | 0.458114 | − | 0.951283i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 6.40900i | − | 0.650736i | −0.945587 | − | 0.325368i | \(-0.894512\pi\) | ||
0.945587 | − | 0.325368i | \(-0.105488\pi\) | |||||||
\(98\) | 4.00127 | − | 7.20202i | 0.404189 | − | 0.727514i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.908671 | + | 1.13944i | −0.0908671 | + | 0.113944i | ||||
\(101\) | −0.402455 | − | 0.193812i | −0.0400458 | − | 0.0192850i | 0.413754 | − | 0.910389i | \(-0.364217\pi\) |
−0.453799 | + | 0.891104i | \(0.649932\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.04038 | + | 2.16038i | −0.102512 | + | 0.212869i | −0.945916 | − | 0.324411i | \(-0.894834\pi\) |
0.843404 | + | 0.537280i | \(0.180548\pi\) | |||||||
\(104\) | 8.65584 | − | 4.16843i | 0.848775 | − | 0.408749i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.113405 | + | 0.0546129i | 0.0110149 | + | 0.00530447i | ||||
\(107\) | 12.7985 | − | 10.2065i | 1.23728 | − | 0.986698i | 0.237397 | − | 0.971413i | \(-0.423706\pi\) |
0.999883 | − | 0.0152850i | \(-0.00486557\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.8699 | − | 16.1383i | 1.23271 | − | 1.54577i | 0.498419 | − | 0.866936i | \(-0.333914\pi\) |
0.734292 | − | 0.678834i | \(-0.237515\pi\) | |||||||
\(110\) | −1.27923 | + | 5.60465i | −0.121969 | + | 0.534383i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −6.12813 | − | 1.58801i | −0.579054 | − | 0.150053i | ||||
\(113\) | −0.0806342 | + | 0.0643036i | −0.00758543 | + | 0.00604918i | −0.627275 | − | 0.778798i | \(-0.715830\pi\) |
0.619690 | + | 0.784847i | \(0.287258\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.99522 | + | 0.455395i | 0.186055 | + | 0.0424658i | ||||
\(116\) | 4.57228i | 0.424526i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.97355 | + | 0.450450i | 0.181680 | + | 0.0414673i | ||||
\(119\) | 8.39555 | − | 6.30375i | 0.769619 | − | 0.577864i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.428573 | − | 1.87770i | −0.0389612 | − | 0.170700i | ||||
\(122\) | 7.96757 | + | 9.99102i | 0.721350 | + | 0.904544i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.894772 | − | 0.204226i | 0.0803529 | − | 0.0183400i | ||||
\(125\) | −2.65947 | − | 11.6519i | −0.237870 | − | 1.04218i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.10534 | − | 9.22408i | 0.186818 | − | 0.818504i | −0.791462 | − | 0.611218i | \(-0.790680\pi\) |
0.978280 | − | 0.207286i | \(-0.0664631\pi\) | |||||||
\(128\) | 3.58003i | 0.316433i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.32572 | + | 5.80837i | −0.116274 | + | 0.509428i | ||||
\(131\) | −9.38963 | + | 4.52181i | −0.820376 | + | 0.395072i | −0.796497 | − | 0.604643i | \(-0.793316\pi\) |
−0.0238790 | + | 0.999715i | \(0.507602\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.8480 | + | 12.8178i | −0.940641 | + | 1.11144i | ||||
\(134\) | −10.1227 | − | 8.07256i | −0.874466 | − | 0.697363i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −9.54758 | − | 7.61394i | −0.818698 | − | 0.652890i | ||||
\(137\) | 0.174028 | + | 0.361374i | 0.0148682 | + | 0.0308742i | 0.908271 | − | 0.418383i | \(-0.137403\pi\) |
−0.893402 | + | 0.449257i | \(0.851689\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.906271 | + | 1.88189i | −0.0768689 | + | 0.159620i | −0.935861 | − | 0.352368i | \(-0.885377\pi\) |
0.858993 | + | 0.511988i | \(0.171091\pi\) | |||||||
\(140\) | −2.10881 | + | 1.58339i | −0.178227 | + | 0.133821i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.58400 | + | 1.72596i | 0.300762 | + | 0.144839i | ||||
\(143\) | 2.09255 | + | 9.16807i | 0.174988 | + | 0.766672i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.42939 | − | 7.51968i | −0.783068 | − | 0.624476i | ||||
\(146\) | −13.2497 | −1.09655 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.75465 | 0.390830 | ||||||||
\(149\) | 6.31126 | + | 5.03306i | 0.517038 | + | 0.412324i | 0.846938 | − | 0.531692i | \(-0.178443\pi\) |
−0.329900 | + | 0.944016i | \(0.607015\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.42041 | + | 14.9858i | 0.278349 | + | 1.21953i | 0.899880 | + | 0.436137i | \(0.143654\pi\) |
−0.621532 | + | 0.783389i | \(0.713489\pi\) | |||||||
\(152\) | 17.5979 | + | 8.47468i | 1.42737 | + | 0.687387i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.31464 | − | 8.32916i | 0.347684 | − | 0.671183i | ||||
\(155\) | −1.05039 | + | 2.18116i | −0.0843693 | + | 0.175195i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.33471 | + | 9.00113i | 0.345948 | + | 0.718368i | 0.999250 | − | 0.0387294i | \(-0.0123311\pi\) |
−0.653302 | + | 0.757097i | \(0.726617\pi\) | |||||||
\(158\) | −13.4057 | − | 10.6907i | −1.06650 | − | 0.850505i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 4.23255 | + | 3.37535i | 0.334613 | + | 0.266845i | ||||
\(161\) | −2.96513 | − | 1.53598i | −0.233685 | − | 0.121052i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.815328 | − | 0.392641i | 0.0638614 | − | 0.0307540i | −0.401680 | − | 0.915780i | \(-0.631574\pi\) |
0.465542 | + | 0.885026i | \(0.345859\pi\) | |||||||
\(164\) | −1.38037 | + | 6.04780i | −0.107789 | + | 0.472254i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.07268i | 0.316101i | ||||||||
\(167\) | −0.422648 | + | 1.85174i | −0.0327055 | + | 0.143292i | −0.988644 | − | 0.150273i | \(-0.951985\pi\) |
0.955939 | + | 0.293565i | \(0.0948418\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.724159 | − | 3.17275i | −0.0557045 | − | 0.244057i | ||||
\(170\) | 7.38304 | − | 1.68513i | 0.566253 | − | 0.129244i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.416073 | + | 0.521739i | 0.0317253 | + | 0.0397822i | ||||
\(173\) | −1.64885 | − | 7.22409i | −0.125360 | − | 0.549237i | −0.998131 | − | 0.0611080i | \(-0.980537\pi\) |
0.872771 | − | 0.488129i | \(-0.162321\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.182871 | + | 6.27008i | −0.0138238 | + | 0.473973i | ||||
\(176\) | −7.02690 | − | 1.60384i | −0.529673 | − | 0.120894i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 14.4462i | − | 1.08279i | ||||||
\(179\) | −22.9124 | − | 5.22960i | −1.71255 | − | 0.390879i | −0.749885 | − | 0.661568i | \(-0.769891\pi\) |
−0.962667 | + | 0.270689i | \(0.912749\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.1147 | − | 8.06617i | 0.751817 | − | 0.599554i | −0.170785 | − | 0.985308i | \(-0.554630\pi\) |
0.922601 | + | 0.385755i | \(0.126059\pi\) | |||||||
\(182\) | 4.47147 | − | 8.63192i | 0.331448 | − | 0.639840i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.864324 | + | 3.78685i | −0.0637188 | + | 0.279170i | ||||
\(185\) | −7.81961 | + | 9.80548i | −0.574909 | + | 0.720913i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.34543 | − | 7.45273i | 0.683405 | − | 0.544998i | ||||
\(188\) | −4.83763 | − | 2.32968i | −0.352821 | − | 0.169909i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −10.9130 | + | 5.25540i | −0.791709 | + | 0.381267i | ||||
\(191\) | 8.84660 | − | 18.3702i | 0.640118 | − | 1.32922i | −0.288250 | − | 0.957555i | \(-0.593073\pi\) |
0.928368 | − | 0.371663i | \(-0.121212\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.34801 | − | 1.61232i | −0.240995 | − | 0.116057i | 0.309488 | − | 0.950903i | \(-0.399842\pi\) |
−0.550483 | + | 0.834846i | \(0.685557\pi\) | |||||||
\(194\) | −4.70317 | + | 5.89759i | −0.337668 | + | 0.423422i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.97905 | − | 1.63786i | 0.284218 | − | 0.116990i | ||||
\(197\) | 22.4887i | 1.60225i | 0.598495 | + | 0.801127i | \(0.295766\pi\) | ||||
−0.598495 | + | 0.801127i | \(0.704234\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.52589 | + | 7.32159i | −0.249944 | + | 0.519014i | −0.987759 | − | 0.155989i | \(-0.950143\pi\) |
0.737815 | + | 0.675003i | \(0.235858\pi\) | |||||||
\(200\) | 7.11336 | − | 1.62358i | 0.502991 | − | 0.114804i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.228114 | + | 0.473683i | 0.0160500 | + | 0.0333282i | ||||
\(203\) | 11.8162 | + | 15.7372i | 0.829334 | + | 1.10454i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −10.2021 | − | 12.7931i | −0.712549 | − | 0.893508i | ||||
\(206\) | 2.54274 | − | 1.22452i | 0.177161 | − | 0.0853161i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.28232 | − | 1.66214i | −0.504938 | − | 0.115249i | ||||
\(209\) | −11.9202 | + | 14.9475i | −0.824540 | + | 1.03394i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.04725 | − | 8.83697i | −0.485153 | − | 0.608362i | 0.477656 | − | 0.878547i | \(-0.341487\pi\) |
−0.962808 | + | 0.270185i | \(0.912915\pi\) | |||||||
\(212\) | 0.0285229 | + | 0.0592283i | 0.00195896 | + | 0.00406782i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −19.2671 | −1.31708 | ||||||||
\(215\) | −1.76026 | −0.120049 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.55191 | − | 3.01528i | 0.173235 | − | 0.204691i | ||||
\(218\) | −23.6858 | + | 5.40613i | −1.60421 | + | 0.366149i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.34740 | + | 1.87199i | −0.158262 | + | 0.126209i | ||||
\(221\) | 9.68512 | − | 7.72363i | 0.651492 | − | 0.519547i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −14.7674 | + | 3.37056i | −0.988899 | + | 0.225710i | −0.686229 | − | 0.727386i | \(-0.740735\pi\) |
−0.302670 | + | 0.953095i | \(0.597878\pi\) | |||||||
\(224\) | −5.30391 | − | 7.06393i | −0.354382 | − | 0.471979i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.121388 | 0.00807463 | ||||||||
\(227\) | −10.2172 | −0.678137 | −0.339068 | − | 0.940762i | \(-0.610112\pi\) | ||||
−0.339068 | + | 0.940762i | \(0.610112\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.72661 | + | 18.1210i | 0.576670 | + | 1.19747i | 0.961583 | + | 0.274515i | \(0.0885173\pi\) |
−0.384912 | + | 0.922953i | \(0.625768\pi\) | |||||||
\(230\) | −1.50182 | − | 1.88322i | −0.0990270 | − | 0.124176i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 14.2721 | − | 17.8966i | 0.937009 | − | 1.17497i | ||||
\(233\) | −13.2535 | − | 3.02504i | −0.868269 | − | 0.198177i | −0.234893 | − | 0.972021i | \(-0.575474\pi\) |
−0.633376 | + | 0.773845i | \(0.718331\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 12.7606 | − | 6.14516i | 0.832407 | − | 0.400866i | ||||
\(236\) | 0.659179 | + | 0.826584i | 0.0429089 | + | 0.0538060i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −12.3515 | − | 0.360242i | −0.800632 | − | 0.0233510i | ||||
\(239\) | −4.93834 | − | 10.2546i | −0.319434 | − | 0.663312i | 0.677987 | − | 0.735073i | \(-0.262852\pi\) |
−0.997422 | + | 0.0717611i | \(0.977138\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.7608 | + | 2.45609i | −0.693166 | + | 0.158211i | −0.554569 | − | 0.832138i | \(-0.687117\pi\) |
−0.138598 | + | 0.990349i | \(0.544260\pi\) | |||||||
\(242\) | −0.983553 | + | 2.04237i | −0.0632252 | + | 0.131288i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.67413i | 0.427267i | ||||||||
\(245\) | −3.16629 | + | 10.8996i | −0.202287 | + | 0.696351i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.3535 | + | 15.4908i | −0.786036 | + | 0.985658i | ||||
\(248\) | −4.13976 | − | 1.99360i | −0.262875 | − | 0.126594i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −6.10336 | + | 12.6738i | −0.386010 | + | 0.801558i | ||||
\(251\) | −8.68576 | + | 4.18284i | −0.548240 | + | 0.264019i | −0.687434 | − | 0.726246i | \(-0.741263\pi\) |
0.139194 | + | 0.990265i | \(0.455549\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.42548 | − | 1.64962i | −0.215358 | − | 0.103711i | ||||
\(254\) | −8.70631 | + | 6.94305i | −0.546283 | + | 0.435646i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.24038 | + | 10.3331i | −0.515024 | + | 0.645819i | ||||
\(257\) | −4.54669 | + | 19.9204i | −0.283615 | + | 1.24260i | 0.609506 | + | 0.792781i | \(0.291368\pi\) |
−0.893121 | + | 0.449817i | \(0.851489\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 16.3649 | − | 12.2875i | 1.01686 | − | 0.763507i | ||||
\(260\) | −2.43273 | + | 1.94003i | −0.150871 | + | 0.120316i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 11.9586 | + | 2.72948i | 0.738807 | + | 0.168628i | ||||
\(263\) | 2.13098i | 0.131402i | 0.997839 | + | 0.0657008i | \(0.0209283\pi\) | ||||
−0.997839 | + | 0.0657008i | \(0.979072\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.169055 | − | 0.0385858i | −0.0103850 | − | 0.00237031i | ||||
\(266\) | 19.3885 | − | 3.83430i | 1.18879 | − | 0.235096i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.50470 | − | 6.59254i | −0.0919144 | − | 0.402703i | ||||
\(269\) | −12.2811 | − | 15.4000i | −0.748793 | − | 0.938957i | 0.250784 | − | 0.968043i | \(-0.419312\pi\) |
−0.999577 | + | 0.0290862i | \(0.990740\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.93868 | + | 2.26844i | −0.603732 | + | 0.137798i | −0.513452 | − | 0.858119i | \(-0.671633\pi\) |
−0.0902801 | + | 0.995916i | \(0.528776\pi\) | |||||||
\(272\) | 2.11275 | + | 9.25658i | 0.128105 | + | 0.561263i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.105048 | − | 0.460246i | 0.00634619 | − | 0.0278045i | ||||
\(275\) | 7.14181i | 0.430667i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.55911 | − | 6.83089i | 0.0936776 | − | 0.410428i | −0.906247 | − | 0.422750i | \(-0.861065\pi\) |
0.999924 | + | 0.0123214i | \(0.00392213\pi\) | |||||||
\(278\) | 2.21496 | − | 1.06667i | 0.132844 | − | 0.0639744i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 13.1967 | + | 0.384890i | 0.788651 | + | 0.0230016i | ||||
\(281\) | 19.0575 | + | 15.1979i | 1.13688 | + | 0.906630i | 0.996510 | − | 0.0834696i | \(-0.0266002\pi\) |
0.140368 | + | 0.990099i | \(0.455172\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.2353 | − | 8.95982i | −0.667867 | − | 0.532606i | 0.229824 | − | 0.973232i | \(-0.426185\pi\) |
−0.897691 | + | 0.440626i | \(0.854756\pi\) | |||||||
\(284\) | 0.901424 | + | 1.87183i | 0.0534897 | + | 0.111072i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.80230 | − | 9.97208i | 0.283966 | − | 0.589661i | ||||
\(287\) | 10.8783 | + | 24.3831i | 0.642127 | + | 1.43929i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.12974 | + | 0.544053i | 0.0664552 | + | 0.0320031i | ||||
\(290\) | 3.15873 | + | 13.8393i | 0.185487 | + | 0.812671i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.41026 | − | 4.31453i | −0.316611 | − | 0.252489i | ||||
\(293\) | −6.11482 | −0.357232 | −0.178616 | − | 0.983919i | \(-0.557162\pi\) | ||||
−0.178616 | + | 0.983919i | \(0.557162\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.78876 | −0.162368 | ||||||||
\(296\) | −18.6105 | − | 14.8413i | −1.08171 | − | 0.862636i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −2.11419 | − | 9.26288i | −0.122472 | − | 0.536584i | ||||
\(299\) | −3.54999 | − | 1.70959i | −0.205301 | − | 0.0988679i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.78040 | + | 0.720497i | 0.160260 | + | 0.0415288i | ||||
\(302\) | 7.84966 | − | 16.3000i | 0.451697 | − | 0.937959i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −6.58903 | − | 13.6823i | −0.377907 | − | 0.784731i | ||||
\(305\) | −13.7640 | − | 10.9764i | −0.788125 | − | 0.628508i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 19.0106 | + | 15.1604i | 1.08499 | + | 0.865253i | 0.991466 | − | 0.130364i | \(-0.0416147\pi\) |
0.0935262 | + | 0.995617i | \(0.470186\pi\) | |||||||
\(308\) | 4.47404 | − | 1.99606i | 0.254932 | − | 0.113736i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.56719 | − | 1.23629i | 0.145806 | − | 0.0702167i | ||||
\(311\) | 6.98480 | − | 30.6024i | 0.396072 | − | 1.73530i | −0.246560 | − | 0.969128i | \(-0.579300\pi\) |
0.642632 | − | 0.766175i | \(-0.277843\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 23.8964i | − | 1.35070i | −0.737496 | − | 0.675351i | \(-0.763992\pi\) | ||
0.737496 | − | 0.675351i | \(-0.236008\pi\) | |||||||
\(314\) | 2.61655 | − | 11.4638i | 0.147660 | − | 0.646942i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.99271 | − | 8.73065i | −0.112099 | − | 0.491138i | ||||
\(317\) | 28.8101 | − | 6.57572i | 1.61814 | − | 0.369329i | 0.684913 | − | 0.728625i | \(-0.259840\pi\) |
0.933224 | + | 0.359296i | \(0.116983\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 13.9699 | + | 17.5177i | 0.782165 | + | 0.980804i | ||||
\(320\) | −3.14448 | − | 13.7769i | −0.175782 | − | 0.770150i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.60136 | + | 3.58934i | 0.0892401 | + | 0.200026i | ||||
\(323\) | 24.5536 | + | 5.60420i | 1.36620 | + | 0.311826i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.40140i | 0.410556i | ||||||||
\(326\) | −1.03840 | − | 0.237009i | −0.0575118 | − | 0.0131267i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 24.2808 | − | 19.3633i | 1.34068 | − | 1.06916i | ||||
\(329\) | −22.6711 | + | 4.48347i | −1.24990 | + | 0.247182i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.23262 | + | 9.78176i | −0.122716 | + | 0.537654i | 0.875774 | + | 0.482721i | \(0.160352\pi\) |
−0.998490 | + | 0.0549329i | \(0.982506\pi\) | |||||||
\(332\) | −1.32620 | + | 1.66300i | −0.0727845 | + | 0.0912688i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.74780 | − | 1.39382i | 0.0956353 | − | 0.0762666i | ||||
\(335\) | 16.0704 | + | 7.73910i | 0.878020 | + | 0.422832i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.17525 | − | 1.04754i | 0.118493 | − | 0.0570633i | −0.373698 | − | 0.927550i | \(-0.621910\pi\) |
0.492191 | + | 0.870487i | \(0.336196\pi\) | |||||||
\(338\) | −1.66191 | + | 3.45099i | −0.0903959 | + | 0.187709i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.56345 | + | 1.71607i | 0.193255 | + | 0.0930668i | ||||
\(341\) | 2.80414 | − | 3.51629i | 0.151853 | − | 0.190418i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.46264 | − | 15.9204i | 0.510934 | − | 0.859620i | ||||
\(344\) | − | 3.34091i | − | 0.180130i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.78403 | + | 7.85762i | −0.203431 | + | 0.422428i | ||||
\(347\) | 21.6209 | − | 4.93483i | 1.16067 | − | 0.264916i | 0.401533 | − | 0.915845i | \(-0.368478\pi\) |
0.759139 | + | 0.650929i | \(0.225620\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.3332 | − | 25.6101i | −0.660180 | − | 1.37088i | −0.914828 | − | 0.403844i | \(-0.867674\pi\) |
0.254648 | − | 0.967034i | \(-0.418040\pi\) | |||||||
\(350\) | 4.76950 | − | 5.63555i | 0.254940 | − | 0.301233i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.27065 | − | 7.86315i | −0.334227 | − | 0.419107i | ||||
\(353\) | 8.75844 | − | 4.21784i | 0.466165 | − | 0.224493i | −0.186031 | − | 0.982544i | \(-0.559562\pi\) |
0.652195 | + | 0.758051i | \(0.273848\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.34276 | − | 1.21945i | −0.283564 | − | 0.0647216i | ||||
\(356\) | 4.70413 | − | 5.89880i | 0.249319 | − | 0.312636i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 17.2464 | + | 21.6263i | 0.911500 | + | 1.14298i | ||||
\(359\) | 5.14678 | + | 10.6874i | 0.271637 | + | 0.564059i | 0.991508 | − | 0.130049i | \(-0.0415134\pi\) |
−0.719871 | + | 0.694108i | \(0.755799\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −21.2821 | −1.12011 | ||||||||
\(362\) | −15.2268 | −0.800303 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.63667 | − | 2.06861i | 0.243027 | − | 0.108425i | ||||
\(365\) | 17.7957 | − | 4.06174i | 0.931468 | − | 0.212601i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −24.7126 | + | 19.7076i | −1.28999 | + | 1.02873i | −0.292618 | + | 0.956230i | \(0.594526\pi\) |
−0.997368 | + | 0.0725000i | \(0.976902\pi\) | |||||||
\(368\) | 2.36111 | − | 1.88292i | 0.123082 | − | 0.0981543i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 14.3913 | − | 3.28471i | 0.748166 | − | 0.170764i | ||||
\(371\) | 0.251236 | + | 0.130144i | 0.0130435 | + | 0.00675676i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 21.5782 | 1.11728 | 0.558638 | − | 0.829411i | \(-0.311324\pi\) | ||||
0.558638 | + | 0.829411i | \(0.311324\pi\) | |||||||
\(374\) | −14.0688 | −0.727480 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 11.6633 | + | 24.2191i | 0.601489 | + | 1.24900i | ||||
\(377\) | 14.4777 | + | 18.1545i | 0.745639 | + | 0.935002i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.85961 | − | 7.34772i | 0.300988 | − | 0.377427i | −0.608221 | − | 0.793768i | \(-0.708116\pi\) |
0.909208 | + | 0.416341i | \(0.136688\pi\) | |||||||
\(380\) | −6.16741 | − | 1.40767i | −0.316382 | − | 0.0722120i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −21.6214 | + | 10.4123i | −1.10625 | + | 0.532740i | ||||
\(383\) | −0.146422 | − | 0.183607i | −0.00748181 | − | 0.00938190i | 0.778077 | − | 0.628170i | \(-0.216196\pi\) |
−0.785558 | + | 0.618788i | \(0.787624\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.24165 | + | 12.5095i | −0.165210 | + | 0.637545i | ||||
\(386\) | 1.89767 | + | 3.94056i | 0.0965890 | + | 0.200569i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.84089 | + | 0.876658i | −0.194992 | + | 0.0445056i | ||||
\(389\) | −10.9367 | + | 22.7103i | −0.554513 | + | 1.15146i | 0.415766 | + | 0.909472i | \(0.363514\pi\) |
−0.970279 | + | 0.241987i | \(0.922201\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.00839i | 0.253285i | ||||||||
\(392\) | −20.6871 | − | 6.00951i | −1.04486 | − | 0.303526i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 16.5031 | − | 20.6942i | 0.831412 | − | 1.04256i | ||||
\(395\) | 21.2824 | + | 10.2491i | 1.07083 | + | 0.515687i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10.6086 | + | 22.0291i | −0.532432 | + | 1.10561i | 0.445229 | + | 0.895417i | \(0.353122\pi\) |
−0.977661 | + | 0.210190i | \(0.932592\pi\) | |||||||
\(398\) | 8.61740 | − | 4.14992i | 0.431951 | − | 0.208017i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.11105 | − | 2.46135i | −0.255552 | − | 0.123068i | ||||
\(401\) | 13.1606 | − | 10.4952i | 0.657209 | − | 0.524107i | −0.237141 | − | 0.971475i | \(-0.576210\pi\) |
0.894350 | + | 0.447369i | \(0.147639\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.90607 | − | 3.64410i | 0.144762 | − | 0.181525i | ||||
\(404\) | −0.0611008 | + | 0.267700i | −0.00303988 | + | 0.0133186i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.675262 | − | 23.1526i | 0.0335127 | − | 1.14904i | ||||
\(407\) | 18.2164 | − | 14.5271i | 0.902954 | − | 0.720082i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.16130 | − | 1.86276i | −0.403550 | − | 0.0921077i | 0.0159278 | − | 0.999873i | \(-0.494930\pi\) |
−0.419478 | + | 0.907765i | \(0.637787\pi\) | |||||||
\(410\) | 19.2590i | 0.951132i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.43702 | + | 0.327990i | 0.0707967 | + | 0.0161589i | ||||
\(413\) | 4.40495 | + | 1.14147i | 0.216754 | + | 0.0561683i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.24849 | − | 5.47001i | −0.0612861 | − | 0.268512i | ||||
\(416\) | −6.49858 | − | 8.14896i | −0.318619 | − | 0.399536i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 21.9381 | − | 5.00723i | 1.07303 | − | 0.244912i | ||||
\(419\) | −5.69223 | − | 24.9393i | −0.278084 | − | 1.21836i | −0.900213 | − | 0.435450i | \(-0.856589\pi\) |
0.622129 | − | 0.782915i | \(-0.286268\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.390341 | − | 1.71019i | 0.0190240 | − | 0.0833497i | −0.964525 | − | 0.263992i | \(-0.914961\pi\) |
0.983549 | + | 0.180643i | \(0.0578178\pi\) | |||||||
\(422\) | 13.3034i | 0.647597i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.0732345 | − | 0.320861i | 0.00355658 | − | 0.0155824i | ||||
\(425\) | 8.47627 | − | 4.08195i | 0.411159 | − | 0.198004i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 17.2480 | + | 22.9715i | 0.834689 | + | 1.11167i | ||||
\(428\) | −7.86735 | − | 6.27400i | −0.380283 | − | 0.303265i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.61980 | + | 1.29175i | 0.0781136 | + | 0.0622935i | ||||
\(431\) | −11.7556 | − | 24.4108i | −0.566248 | − | 1.17583i | −0.965841 | − | 0.259134i | \(-0.916563\pi\) |
0.399593 | − | 0.916693i | \(-0.369151\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.8451 | + | 28.7496i | −0.665351 | + | 1.38162i | 0.245709 | + | 0.969344i | \(0.420979\pi\) |
−0.911061 | + | 0.412273i | \(0.864735\pi\) | |||||||
\(434\) | −4.56100 | + | 0.901990i | −0.218935 | + | 0.0432969i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −11.4320 | − | 5.50538i | −0.547495 | − | 0.263660i | ||||
\(437\) | −1.78254 | − | 7.80981i | −0.0852704 | − | 0.373594i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 23.1323 | + | 18.4474i | 1.10405 | + | 0.880448i | 0.993546 | − | 0.113429i | \(-0.0361833\pi\) |
0.110500 | + | 0.993876i | \(0.464755\pi\) | |||||||
\(440\) | 15.0314 | 0.716594 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −14.5802 | −0.693508 | ||||||||
\(443\) | −2.08603 | − | 1.66356i | −0.0991105 | − | 0.0790380i | 0.572681 | − | 0.819778i | \(-0.305903\pi\) |
−0.671791 | + | 0.740740i | \(0.734475\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.42852 | + | 19.4026i | 0.209932 | + | 0.919771i | ||||
\(446\) | 16.0625 | + | 7.73528i | 0.760580 | + | 0.366276i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.672217 | + | 23.0482i | −0.0317593 | + | 1.08892i | ||||
\(449\) | −7.81973 | + | 16.2378i | −0.369036 | + | 0.766310i | −0.999955 | − | 0.00953840i | \(-0.996964\pi\) |
0.630919 | + | 0.775849i | \(0.282678\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.1895 | + | 27.3884i | 0.621071 | + | 1.28967i | ||||
\(452\) | 0.0495665 | + | 0.0395279i | 0.00233141 | + | 0.00185924i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 9.40186 | + | 7.49774i | 0.441251 | + | 0.351886i | ||||
\(455\) | −3.35948 | + | 12.9643i | −0.157495 | + | 0.607774i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.2758 | + | 8.31958i | −0.808127 | + | 0.389173i | −0.791866 | − | 0.610694i | \(-0.790890\pi\) |
−0.0162604 | + | 0.999868i | \(0.505176\pi\) | |||||||
\(458\) | 5.26761 | − | 23.0789i | 0.246139 | − | 1.07841i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 1.25802i | − | 0.0586553i | ||||||
\(461\) | −3.12162 | + | 13.6767i | −0.145389 | + | 0.636989i | 0.848743 | + | 0.528806i | \(0.177360\pi\) |
−0.994131 | + | 0.108182i | \(0.965497\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.48852 | + | 19.6655i | 0.208599 | + | 0.913932i | 0.965500 | + | 0.260403i | \(0.0838553\pi\) |
−0.756901 | + | 0.653529i | \(0.773288\pi\) | |||||||
\(464\) | −17.3512 | + | 3.96029i | −0.805508 | + | 0.183852i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 9.97607 | + | 12.5096i | 0.462133 | + | 0.579496i | ||||
\(467\) | −8.78197 | − | 38.4763i | −0.406381 | − | 1.78047i | −0.600638 | − | 0.799521i | \(-0.705087\pi\) |
0.194257 | − | 0.980951i | \(-0.437771\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −22.2161 | − | 18.8020i | −1.02585 | − | 0.868197i | ||||
\(470\) | −16.2519 | − | 3.70938i | −0.749643 | − | 0.171101i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 5.29296i | − | 0.243628i | ||||||
\(473\) | 3.18819 | + | 0.727683i | 0.146593 | + | 0.0334589i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −11.7646 | + | 9.38197i | −0.539798 | + | 0.430474i | ||||
\(476\) | −4.92620 | − | 4.16916i | −0.225792 | − | 0.191093i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.98091 | + | 13.0602i | −0.136344 | + | 0.597360i | ||||
\(479\) | 15.8455 | − | 19.8697i | 0.724001 | − | 0.907869i | −0.274556 | − | 0.961571i | \(-0.588531\pi\) |
0.998557 | + | 0.0537025i | \(0.0171023\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 18.8786 | − | 15.0551i | 0.860788 | − | 0.686456i | ||||
\(482\) | 11.7045 | + | 5.63660i | 0.533127 | + | 0.256740i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.06667 | + | 0.513684i | −0.0484852 | + | 0.0233493i | ||||
\(485\) | 4.50889 | − | 9.36281i | 0.204738 | − | 0.425143i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.73926 | − | 2.28231i | −0.214757 | − | 0.103421i | 0.323413 | − | 0.946258i | \(-0.395170\pi\) |
−0.538170 | + | 0.842837i | \(0.680884\pi\) | |||||||
\(488\) | 20.8329 | − | 26.1236i | 0.943060 | − | 1.18256i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 10.9122 | − | 7.70633i | 0.492962 | − | 0.348136i | ||||
\(491\) | − | 32.1882i | − | 1.45263i | −0.687361 | − | 0.726316i | \(-0.741231\pi\) | ||
0.687361 | − | 0.726316i | \(-0.258769\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.8063 | − | 26.5926i | 0.576768 | − | 1.19767i | ||||
\(494\) | 22.7355 | − | 5.18923i | 1.02292 | − | 0.233475i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.55002 | + | 3.21864i | 0.0695978 | + | 0.144521i | ||||
\(497\) | 7.93996 | + | 4.11303i | 0.356156 | + | 0.184494i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.9252 | − | 21.2236i | −0.757677 | − | 0.950097i | 0.242120 | − | 0.970246i | \(-0.422157\pi\) |
−0.999797 | + | 0.0201497i | \(0.993586\pi\) | |||||||
\(500\) | −6.61916 | + | 3.18762i | −0.296018 | + | 0.142555i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.0622 | + | 2.52487i | 0.493730 | + | 0.112691i | ||||
\(503\) | −24.4642 | + | 30.6772i | −1.09081 | + | 1.36783i | −0.166559 | + | 0.986031i | \(0.553266\pi\) |
−0.924247 | + | 0.381796i | \(0.875306\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.451588 | − | 0.566274i | −0.0200954 | − | 0.0251988i | ||||
\(506\) | 1.94158 | + | 4.03174i | 0.0863138 | + | 0.179233i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.81593 | −0.258040 | ||||||||
\(509\) | −43.5926 | −1.93221 | −0.966104 | − | 0.258153i | \(-0.916886\pi\) | ||||
−0.966104 | + | 0.258153i | \(0.916886\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −29.7715 | − | 0.868307i | −1.31701 | − | 0.0384116i | ||||
\(512\) | 22.1462 | − | 5.05472i | 0.978733 | − | 0.223389i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 18.8022 | − | 14.9943i | 0.829329 | − | 0.661368i | ||||
\(515\) | −3.03976 | + | 2.42413i | −0.133948 | + | 0.106820i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −25.6523 | + | 5.85497i | −1.12819 | + | 0.257501i | ||||
\(518\) | −24.0760 | − | 0.702196i | −1.05784 | − | 0.0308527i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 15.5778 | 0.683130 | ||||||||
\(521\) | −8.32018 | −0.364514 | −0.182257 | − | 0.983251i | \(-0.558340\pi\) | ||||
−0.182257 | + | 0.983251i | \(0.558340\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.8076 | − | 26.5953i | −0.560039 | − | 1.16293i | −0.968236 | − | 0.250039i | \(-0.919557\pi\) |
0.408197 | − | 0.912894i | \(-0.366158\pi\) | |||||||
\(524\) | 3.99426 | + | 5.00865i | 0.174490 | + | 0.218804i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.56379 | − | 1.96093i | 0.0681845 | − | 0.0855007i | ||||
\(527\) | −5.77604 | − | 1.31834i | −0.251608 | − | 0.0574279i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −19.2870 | + | 9.28814i | −0.838566 | + | 0.403832i | ||||
\(530\) | 0.127250 | + | 0.159566i | 0.00552737 | + | 0.00693111i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 9.16549 | + | 4.74787i | 0.397375 | + | 0.205846i | ||||
\(533\) | 13.6690 | + | 28.3839i | 0.592068 | + | 1.22944i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 25.8777 | − | 5.90641i | 1.11879 | − | 0.255356i | ||||
\(536\) | −14.6885 | + | 30.5011i | −0.634448 | + | 1.31745i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 23.1835i | 0.999513i | ||||||||
\(539\) | 10.2406 | − | 18.4325i | 0.441095 | − | 0.793943i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −26.2932 | + | 32.9706i | −1.13043 | + | 1.41752i | −0.235182 | + | 0.971951i | \(0.575569\pi\) |
−0.895250 | + | 0.445565i | \(0.853003\pi\) | |||||||
\(542\) | 10.8103 | + | 5.20595i | 0.464341 | + | 0.223615i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −5.74835 | + | 11.9366i | −0.246458 | + | 0.511776i | ||||
\(545\) | 30.1551 | − | 14.5219i | 1.29170 | − | 0.622051i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 22.5823 | + | 10.8751i | 0.965549 | + | 0.464984i | 0.849111 | − | 0.528214i | \(-0.177138\pi\) |
0.116438 | + | 0.993198i | \(0.462852\pi\) | |||||||
\(548\) | 0.192765 | − | 0.153725i | 0.00823452 | − | 0.00656681i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 5.24093 | − | 6.57192i | 0.223474 | − | 0.280227i | ||||
\(551\) | −10.5049 | + | 46.0249i | −0.447523 | + | 1.96073i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −29.4213 | − | 24.9000i | −1.25112 | − | 1.05885i | ||||
\(554\) | −6.44746 | + | 5.14168i | −0.273926 | + | 0.218449i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.25177 | + | 0.285709i | 0.0530870 | + | 0.0121168i | ||||
\(557\) | 38.6766i | 1.63878i | 0.573237 | + | 0.819389i | \(0.305687\pi\) | ||||
−0.573237 | + | 0.819389i | \(0.694313\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.30407 | + | 0.754133i | 0.139747 | + | 0.0318964i | ||||
\(560\) | −7.83528 | − | 6.63118i | −0.331101 | − | 0.280219i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.38404 | − | 27.9703i | −0.269294 | − | 1.17986i | ||||
\(563\) | −16.3519 | − | 20.5046i | −0.689150 | − | 0.864167i | 0.307011 | − | 0.951706i | \(-0.400671\pi\) |
−0.996161 | + | 0.0875387i | \(0.972100\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.163036 | + | 0.0372120i | −0.00685899 | + | 0.00156552i | ||||
\(566\) | 3.76367 | + | 16.4897i | 0.158199 | + | 0.693114i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.31447 | − | 10.1404i | 0.0971131 | − | 0.425480i | ||||
\(569\) | 0.617863i | 0.0259022i | 0.999916 | + | 0.0129511i | \(0.00412257\pi\) | ||||
−0.999916 | + | 0.0129511i | \(0.995877\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.72061 | − | 33.8262i | 0.323098 | − | 1.41558i | −0.508911 | − | 0.860819i | \(-0.669952\pi\) |
0.832008 | − | 0.554763i | \(-0.187191\pi\) | |||||||
\(572\) | 5.20815 | − | 2.50811i | 0.217764 | − | 0.104870i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.88294 | − | 30.4203i | 0.329028 | − | 1.26972i | ||||
\(575\) | −2.33956 | − | 1.86573i | −0.0975663 | − | 0.0778065i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 20.0054 | + | 15.9538i | 0.832837 | + | 0.664165i | 0.944112 | − | 0.329624i | \(-0.106922\pi\) |
−0.111275 | + | 0.993790i | \(0.535494\pi\) | |||||||
\(578\) | −0.640342 | − | 1.32968i | −0.0266347 | − | 0.0553076i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −3.21671 | + | 6.67957i | −0.133567 | + | 0.277354i | ||||
\(581\) | −0.266899 | + | 9.15112i | −0.0110728 | + | 0.379652i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.290242 | + | 0.139773i | 0.0120206 | + | 0.00578882i | ||||
\(584\) | 7.70905 | + | 33.7755i | 0.319003 | + | 1.39764i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.62688 | + | 4.48729i | 0.232444 | + | 0.185368i | ||||
\(587\) | −28.4634 | −1.17481 | −0.587405 | − | 0.809293i | \(-0.699850\pi\) | ||||
−0.587405 | + | 0.809293i | \(0.699850\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.47605 | 0.390454 | ||||||||
\(590\) | 2.56622 | + | 2.04650i | 0.105650 | + | 0.0842529i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.11825 | + | 18.0432i | 0.169259 | + | 0.741572i | ||||
\(593\) | −19.9794 | − | 9.62156i | −0.820455 | − | 0.395110i | −0.0239281 | − | 0.999714i | \(-0.507617\pi\) |
−0.796527 | + | 0.604604i | \(0.793332\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 16.6998 | − | 3.30257i | 0.684624 | − | 0.135392i | ||||
\(596\) | 2.15300 | − | 4.47076i | 0.0881905 | − | 0.183129i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.01216 | + | 4.17829i | 0.0822832 | + | 0.170863i | ||||
\(599\) | 11.2925 | + | 9.00546i | 0.461398 | + | 0.367953i | 0.826427 | − | 0.563043i | \(-0.190370\pi\) |
−0.365029 | + | 0.930996i | \(0.618941\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.05140 | + | 2.43341i | 0.124469 | + | 0.0992610i | 0.683746 | − | 0.729720i | \(-0.260350\pi\) |
−0.559277 | + | 0.828981i | \(0.688921\pi\) | |||||||
\(602\) | −2.02981 | − | 2.70337i | −0.0827288 | − | 0.110181i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.51305 | − | 4.09967i | 0.346391 | − | 0.166813i | ||||
\(605\) | 0.694913 | − | 3.04461i | 0.0282522 | − | 0.123781i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 40.6191i | − | 1.64868i | −0.566097 | − | 0.824338i | \(-0.691547\pi\) | ||
0.566097 | − | 0.824338i | \(-0.308453\pi\) | |||||||
\(608\) | 4.71531 | − | 20.6591i | 0.191231 | − | 0.837839i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.61077 | + | 20.2011i | 0.186685 | + | 0.817918i | ||||
\(611\) | −26.5847 | + | 6.06779i | −1.07550 | + | 0.245477i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.96530 | − | 8.73421i | −0.281326 | − | 0.352771i | 0.621012 | − | 0.783801i | \(-0.286722\pi\) |
−0.902338 | + | 0.431030i | \(0.858150\pi\) | |||||||
\(614\) | −6.36831 | − | 27.9014i | −0.257004 | − | 1.12601i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −23.7427 | − | 6.15254i | −0.956620 | − | 0.247893i | ||||
\(617\) | 26.4798 | + | 6.04385i | 1.06604 | + | 0.243316i | 0.719338 | − | 0.694660i | \(-0.244445\pi\) |
0.346699 | + | 0.937976i | \(0.387302\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 13.0186i | − | 0.523262i | −0.965168 | − | 0.261631i | \(-0.915740\pi\) | ||
0.965168 | − | 0.261631i | \(-0.0842603\pi\) | |||||||
\(620\) | 1.45084 | + | 0.331144i | 0.0582670 | + | 0.0132991i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −28.8846 | + | 23.0347i | −1.15817 | + | 0.923608i | ||||
\(623\) | 0.946715 | − | 32.4598i | 0.0379293 | − | 1.30048i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.67438 | − | 7.33593i | 0.0669751 | − | 0.293437i | ||||
\(626\) | −17.5361 | + | 21.9895i | −0.700882 | + | 0.878878i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.80141 | − | 3.82900i | 0.191597 | − | 0.152794i | ||||
\(629\) | −27.6532 | − | 13.3171i | −1.10261 | − | 0.530988i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −13.3941 | + | 6.45024i | −0.533209 | + | 0.256780i | −0.681057 | − | 0.732230i | \(-0.738480\pi\) |
0.147848 | + | 0.989010i | \(0.452765\pi\) | |||||||
\(632\) | −19.4524 | + | 40.3933i | −0.773774 | + | 1.60676i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −31.3367 | − | 15.0909i | −1.24454 | − | 0.599338i | ||||
\(635\) | 9.56501 | − | 11.9941i | 0.379576 | − | 0.475973i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.6129 | − | 19.1025i | 0.420497 | − | 0.756867i | ||||
\(638\) | − | 26.3715i | − | 1.04406i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.51864 | + | 5.23001i | −0.0995580 | + | 0.206734i | ||||
\(641\) | −3.54318 | + | 0.808708i | −0.139947 | + | 0.0319420i | −0.291921 | − | 0.956443i | \(-0.594294\pi\) |
0.151973 | + | 0.988385i | \(0.451437\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −9.21696 | − | 19.1392i | −0.363482 | − | 0.754777i | 0.636381 | − | 0.771375i | \(-0.280431\pi\) |
−0.999862 | + | 0.0165979i | \(0.994716\pi\) | |||||||
\(644\) | −0.514922 | + | 1.98709i | −0.0202908 | + | 0.0783022i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −18.4817 | − | 23.1753i | −0.727154 | − | 0.911822i | ||||
\(647\) | 39.8148 | − | 19.1738i | 1.56528 | − | 0.753799i | 0.567695 | − | 0.823239i | \(-0.307835\pi\) |
0.997586 | + | 0.0694398i | \(0.0221212\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.05100 | + | 1.15286i | 0.198269 | + | 0.0452536i | ||||
\(650\) | 5.43143 | − | 6.81080i | 0.213038 | − | 0.267141i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.346833 | − | 0.434915i | −0.0135830 | − | 0.0170326i | ||||
\(653\) | 10.1195 | + | 21.0133i | 0.396006 | + | 0.822314i | 0.999685 | + | 0.0250873i | \(0.00798639\pi\) |
−0.603679 | + | 0.797227i | \(0.706299\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −16.8984 | −0.660273 | ||||||||
\(656\) | −24.1462 | −0.942750 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 24.1522 | + | 12.5112i | 0.941550 | + | 0.487738i | ||||
\(659\) | −1.63674 | + | 0.373574i | −0.0637582 | + | 0.0145524i | −0.254281 | − | 0.967130i | \(-0.581839\pi\) |
0.190523 | + | 0.981683i | \(0.438982\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 19.4053 | − | 15.4752i | 0.754778 | − | 0.601915i | −0.168655 | − | 0.985675i | \(-0.553942\pi\) |
0.923433 | + | 0.383760i | \(0.125371\pi\) | |||||||
\(662\) | 9.23270 | − | 7.36283i | 0.358839 | − | 0.286164i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.3819 | − | 2.36960i | 0.402895 | − | 0.0919582i | ||||
\(665\) | −24.8653 | + | 11.0935i | −0.964234 | + | 0.430186i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.38807 | −0.363508 | ||||||||
\(668\) | 1.16755 | 0.0451739 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −9.10880 | − | 18.9146i | −0.351904 | − | 0.730736i | ||||
\(671\) | 20.3918 | + | 25.5705i | 0.787216 | + | 0.987137i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −28.7486 | + | 36.0496i | −1.10818 | + | 1.38961i | −0.195612 | + | 0.980681i | \(0.562669\pi\) |
−0.912566 | + | 0.408930i | \(0.865902\pi\) | |||||||
\(674\) | −2.77040 | − | 0.632325i | −0.106712 | − | 0.0243562i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.80236 | + | 0.867971i | −0.0693215 | + | 0.0333835i | ||||
\(677\) | 13.8596 | + | 17.3794i | 0.532669 | + | 0.667945i | 0.973245 | − | 0.229770i | \(-0.0737973\pi\) |
−0.440576 | + | 0.897715i | \(0.645226\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.9543 | + | 12.9434i | −0.420387 | + | 0.496721i | ||||
\(680\) | −8.59131 | − | 17.8400i | −0.329462 | − | 0.684134i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.16077 | + | 1.17791i | −0.197616 | + | 0.0451046i | ||||
\(683\) | −6.17866 | + | 12.8301i | −0.236420 | + | 0.490931i | −0.985096 | − | 0.172005i | \(-0.944976\pi\) |
0.748676 | + | 0.662936i | \(0.230690\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.650358i | 0.0248489i | ||||||||
\(686\) | −20.3905 | + | 7.70595i | −0.778514 | + | 0.294215i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.61954 | + | 2.03084i | −0.0617445 | + | 0.0774252i | ||||
\(689\) | 0.300792 | + | 0.144854i | 0.0114593 | + | 0.00551849i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.3856 | − | 23.6425i | 0.433130 | − | 0.899404i | −0.564148 | − | 0.825674i | \(-0.690795\pi\) |
0.997278 | − | 0.0737304i | \(-0.0234904\pi\) | |||||||
\(692\) | −4.10383 | + | 1.97630i | −0.156004 | + | 0.0751276i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −23.5170 | − | 11.3252i | −0.892693 | − | 0.429898i | ||||
\(695\) | −2.64791 | + | 2.11164i | −0.100441 | + | 0.0800990i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 24.9673 | − | 31.3080i | 0.945705 | − | 1.18588i | ||||
\(698\) | −7.44463 | + | 32.6171i | −0.281784 | + | 1.23457i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.78264 | − | 0.748061i | 0.142971 | − | 0.0282740i | ||||
\(701\) | 6.68543 | − | 5.33145i | 0.252505 | − | 0.201366i | −0.489054 | − | 0.872253i | \(-0.662658\pi\) |
0.741559 | + | 0.670887i | \(0.234087\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 47.8607 | + | 10.9239i | 1.80510 | + | 0.412002i | ||||
\(704\) | 26.2526i | 0.989431i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −11.1548 | − | 2.54600i | −0.419815 | − | 0.0958200i | ||||
\(707\) | 0.481518 | + | 1.07929i | 0.0181094 | + | 0.0405910i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.32873 | − | 10.2028i | −0.0874573 | − | 0.383176i | 0.912189 | − | 0.409770i | \(-0.134391\pi\) |
−0.999646 | + | 0.0265942i | \(0.991534\pi\) | |||||||
\(710\) | 4.02154 | + | 5.04286i | 0.150926 | + | 0.189255i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −36.8255 | + | 8.40517i | −1.38009 | + | 0.314997i | ||||
\(713\) | 0.419328 | + | 1.83720i | 0.0157040 | + | 0.0688036i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.39298 | + | 14.8656i | −0.126890 | + | 0.555943i | ||||
\(716\) | 14.4466i | 0.539896i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3.10673 | − | 13.6115i | 0.115942 | − | 0.507976i | ||||
\(719\) | 24.6264 | − | 11.8595i | 0.918411 | − | 0.442283i | 0.0859072 | − | 0.996303i | \(-0.472621\pi\) |
0.832503 | + | 0.554020i | \(0.186907\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.79365 | − | 2.58479i | 0.215767 | − | 0.0962628i | ||||
\(722\) | 19.5839 | + | 15.6176i | 0.728836 | + | 0.581228i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −6.21756 | − | 4.95834i | −0.231074 | − | 0.184275i | ||||
\(725\) | 7.65150 | + | 15.8885i | 0.284169 | + | 0.590084i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −8.59104 | + | 17.8395i | −0.318624 | + | 0.661629i | −0.997349 | − | 0.0727629i | \(-0.976818\pi\) |
0.678725 | + | 0.734392i | \(0.262533\pi\) | |||||||
\(728\) | −24.6057 | − | 6.37618i | −0.911948 | − | 0.236317i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −19.3563 | − | 9.32150i | −0.716408 | − | 0.345004i | ||||
\(731\) | −0.958581 | − | 4.19982i | −0.0354544 | − | 0.155336i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.46629 | + | 3.56175i | 0.164966 | + | 0.131556i | 0.702493 | − | 0.711690i | \(-0.252070\pi\) |
−0.537527 | + | 0.843246i | \(0.680641\pi\) | |||||||
\(734\) | 37.2028 | 1.37318 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.21401 | 0.155330 | ||||||||
\(737\) | −25.9074 | − | 20.6605i | −0.954312 | − | 0.761039i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.07259 | + | 4.69931i | 0.0394558 | + | 0.172867i | 0.990817 | − | 0.135211i | \(-0.0431713\pi\) |
−0.951361 | + | 0.308078i | \(0.900314\pi\) | |||||||
\(740\) | 6.94599 | + | 3.34501i | 0.255340 | + | 0.122965i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.135684 | − | 0.304126i | −0.00498110 | − | 0.0111648i | ||||
\(743\) | −4.67324 | + | 9.70408i | −0.171444 | + | 0.356008i | −0.968932 | − | 0.247327i | \(-0.920448\pi\) |
0.797488 | + | 0.603335i | \(0.206162\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5.67913 | + | 11.7928i | 0.208067 | + | 0.432056i | ||||
\(746\) | −19.8563 | − | 15.8349i | −0.726992 | − | 0.579757i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −5.74471 | − | 4.58125i | −0.210047 | − | 0.167507i | ||||
\(749\) | −43.2923 | − | 1.26265i | −1.58187 | − | 0.0461363i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 41.2195 | − | 19.8503i | 1.50412 | − | 0.724346i | 0.513134 | − | 0.858308i | \(-0.328484\pi\) |
0.990986 | + | 0.133962i | \(0.0427700\pi\) | |||||||
\(752\) | 4.65069 | − | 20.3760i | 0.169593 | − | 0.743036i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | − | 27.3301i | − | 0.995303i | ||||||
\(755\) | −5.54605 | + | 24.2988i | −0.201841 | + | 0.884324i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.65249 | − | 20.3839i | −0.169098 | − | 0.740866i | −0.986360 | − | 0.164600i | \(-0.947367\pi\) |
0.817263 | − | 0.576265i | \(-0.195491\pi\) | |||||||
\(758\) | −10.7841 | + | 2.46139i | −0.391695 | + | 0.0894018i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 19.7463 | + | 24.7610i | 0.716272 | + | 0.898177i | ||||
\(761\) | −10.3439 | − | 45.3197i | −0.374967 | − | 1.64284i | −0.712608 | − | 0.701562i | \(-0.752486\pi\) |
0.337641 | − | 0.941275i | \(-0.390371\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −53.5752 | + | 10.5951i | −1.93955 | + | 0.383568i | ||||
\(764\) | −12.2192 | − | 2.78896i | −0.442077 | − | 0.100901i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.276406i | 0.00998696i | ||||||||
\(767\) | 5.23460 | + | 1.19476i | 0.189010 | + | 0.0431404i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 33.0698 | − | 26.3723i | 1.19253 | − | 0.951009i | 0.192984 | − | 0.981202i | \(-0.438183\pi\) |
0.999544 | + | 0.0301926i | \(0.00961206\pi\) | |||||||
\(770\) | 12.1630 | − | 9.13248i | 0.438323 | − | 0.329112i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.508296 | + | 2.22699i | −0.0182940 | + | 0.0801511i | ||||
\(773\) | −11.8115 | + | 14.8111i | −0.424829 | + | 0.532719i | −0.947475 | − | 0.319831i | \(-0.896374\pi\) |
0.522645 | + | 0.852550i | \(0.324945\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.76753 | − | 2.20703i | 0.0994128 | − | 0.0792790i | ||||
\(776\) | 17.7703 | + | 8.55772i | 0.637916 | + | 0.307204i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 26.7297 | − | 12.8723i | 0.958306 | − | 0.461496i | ||||
\(779\) | −27.7898 | + | 57.7062i | −0.995674 | + | 2.06754i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.17269 | + | 4.41733i | 0.328225 | + | 0.158065i | ||||
\(782\) | 3.67535 | − | 4.60874i | 0.131430 | − | 0.164808i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 9.66190 | + | 13.6813i | 0.345068 | + | 0.488618i | ||||
\(785\) | 16.1992i | 0.578173i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −8.74293 | + | 18.1549i | −0.311652 | + | 0.647152i | −0.996685 | − | 0.0813603i | \(-0.974074\pi\) |
0.685033 | + | 0.728512i | \(0.259788\pi\) | |||||||
\(788\) | 13.4774 | − | 3.07612i | 0.480112 | − | 0.109582i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −12.0630 | − | 25.0491i | −0.429182 | − | 0.891206i | ||||
\(791\) | 0.272754 | + | 0.00795506i | 0.00969800 | + | 0.000282849i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 21.1330 | + | 26.4999i | 0.750454 | + | 0.941040i | ||||
\(794\) | 25.9279 | − | 12.4862i | 0.920145 | − | 0.443119i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.87009 | + | 1.11157i | 0.172616 | + | 0.0393984i | ||||
\(797\) | 19.9227 | − | 24.9823i | 0.705700 | − | 0.884919i | −0.291735 | − | 0.956499i | \(-0.594233\pi\) |
0.997435 | + | 0.0715797i | \(0.0228040\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 21.6108 | + | 27.0990i | 0.764534 | + | 0.958695i | ||||
\(800\) | −3.43452 | − | 7.13184i | −0.121428 | − | 0.252149i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −19.8122 | −0.699594 | ||||||||
\(803\) | −33.9106 | −1.19668 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.25110 | − | 4.32993i | −0.114586 | − | 0.152610i | ||||
\(806\) | −5.34835 | + | 1.22073i | −0.188388 | + | 0.0429983i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.07477 | − | 0.857098i | 0.0378102 | − | 0.0301526i | ||||
\(809\) | 28.6281 | − | 22.8302i | 1.00651 | − | 0.802666i | 0.0261062 | − | 0.999659i | \(-0.491689\pi\) |
0.980405 | + | 0.196993i | \(0.0631178\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −31.4471 | + | 7.17759i | −1.10426 | + | 0.252039i | −0.735525 | − | 0.677497i | \(-0.763065\pi\) |
−0.368731 | + | 0.929536i | \(0.620207\pi\) | |||||||
\(812\) | 7.81496 | − | 9.23401i | 0.274251 | − | 0.324050i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −27.4233 | −0.961188 | ||||||||
\(815\) | 1.46733 | 0.0513984 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.98952 | + | 6.20779i | 0.104590 | + | 0.217183i | ||||
\(818\) | 6.14309 | + | 7.70319i | 0.214788 | + | 0.269336i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −6.27134 | + | 7.86401i | −0.219005 | + | 0.274623i | ||||
\(821\) | −1.83900 | − | 0.419740i | −0.0641816 | − | 0.0146490i | 0.190310 | − | 0.981724i | \(-0.439051\pi\) |
−0.254491 | + | 0.967075i | \(0.581908\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.90635 | − | 4.28907i | 0.310456 | − | 0.149508i | −0.272168 | − | 0.962250i | \(-0.587741\pi\) |
0.582623 | + | 0.812742i | \(0.302026\pi\) | |||||||
\(824\) | −4.60091 | − | 5.76936i | −0.160280 | − | 0.200985i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.21580 | − | 4.28291i | −0.111892 | − | 0.149021i | ||||
\(827\) | 0.402679 | + | 0.836172i | 0.0140025 | + | 0.0290765i | 0.907853 | − | 0.419289i | \(-0.137721\pi\) |
−0.893850 | + | 0.448366i | \(0.852006\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.6428 | − | 3.11387i | 0.473833 | − | 0.108149i | 0.0210656 | − | 0.999778i | \(-0.493294\pi\) |
0.452767 | + | 0.891629i | \(0.350437\pi\) | |||||||
\(830\) | −2.86523 | + | 5.94971i | −0.0994536 | + | 0.206518i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 27.2068i | 0.943226i | ||||||||
\(833\) | −27.7297 | − | 1.61889i | −0.960778 | − | 0.0560913i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.92018 | + | 2.40783i | −0.0664507 | + | 0.0833265i | ||||
\(836\) | 10.5885 | + | 5.09915i | 0.366211 | + | 0.176358i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −13.0634 | + | 27.1264i | −0.451267 | + | 0.937066i | ||||
\(839\) | 35.6979 | − | 17.1912i | 1.23243 | − | 0.593507i | 0.299683 | − | 0.954039i | \(-0.403119\pi\) |
0.932747 | + | 0.360532i | \(0.117405\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 23.7189 | + | 11.4224i | 0.817893 | + | 0.393876i | ||||
\(842\) | −1.61420 | + | 1.28728i | −0.0556289 | + | 0.0443626i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.33200 | + | 5.43216i | −0.149114 | + | 0.186983i | ||||
\(845\) | 1.17419 | − | 5.14448i | 0.0403935 | − | 0.176975i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.34384 | + | 4.52465i | −0.0805353 | + | 0.155469i | ||||
\(848\) | −0.200058 | + | 0.159541i | −0.00687002 | + | 0.00547866i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −10.7954 | − | 2.46398i | −0.370279 | − | 0.0845137i | ||||
\(851\) | 9.76252i | 0.334655i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −17.8729 | − | 4.07937i | −0.611955 | − | 0.139675i | −0.0946999 | − | 0.995506i | \(-0.530189\pi\) |
−0.517255 | + | 0.855831i | \(0.673046\pi\) | |||||||
\(854\) | 0.985675 | − | 33.7957i | 0.0337291 | − | 1.15646i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 11.2102 | + | 49.1149i | 0.383155 | + | 1.67871i | ||||
\(857\) | −34.8821 | − | 43.7407i | −1.19155 | − | 1.49416i | −0.826286 | − | 0.563251i | \(-0.809551\pi\) |
−0.365263 | − | 0.930904i | \(-0.619021\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 41.0178 | − | 9.36205i | 1.39951 | − | 0.319429i | 0.544814 | − | 0.838557i | \(-0.316600\pi\) |
0.854696 | + | 0.519128i | \(0.173743\pi\) | |||||||
\(860\) | 0.240778 | + | 1.05492i | 0.00821046 | + | 0.0359724i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −7.09600 | + | 31.0896i | −0.241691 | + | 1.05892i | ||||
\(863\) | 32.2608i | 1.09817i | 0.835766 | + | 0.549085i | \(0.185024\pi\) | ||||
−0.835766 | + | 0.549085i | \(0.814976\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.67354 | − | 11.7136i | 0.0909032 | − | 0.398273i | ||||
\(866\) | 33.8378 | − | 16.2954i | 1.14986 | − | 0.553741i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −2.15611 | − | 1.11690i | −0.0731832 | − | 0.0379101i | ||||
\(869\) | −34.3098 | − | 27.3612i | −1.16388 | − | 0.928164i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −26.8491 | − | 21.4115i | −0.909748 | − | 0.725500i | ||||
\(872\) | 27.5621 | + | 57.2333i | 0.933370 | + | 1.93816i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −4.09084 | + | 8.49471i | −0.138375 | + | 0.287338i | ||||
\(875\) | −14.5445 | + | 28.0773i | −0.491694 | + | 0.949187i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 36.2669 | + | 17.4652i | 1.22465 | + | 0.589758i | 0.930602 | − | 0.366034i | \(-0.119285\pi\) |
0.294044 | + | 0.955792i | \(0.404999\pi\) | |||||||
\(878\) | −7.74904 | − | 33.9508i | −0.261517 | − | 1.14578i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −9.13714 | − | 7.28663i | −0.308013 | − | 0.245632i | ||||
\(881\) | 13.8361 | 0.466150 | 0.233075 | − | 0.972459i | \(-0.425121\pi\) | ||||
0.233075 | + | 0.972459i | \(0.425121\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 8.08344 | 0.272029 | 0.136015 | − | 0.990707i | \(-0.456571\pi\) | ||||
0.136015 | + | 0.990707i | \(0.456571\pi\) | |||||||
\(884\) | −5.95352 | − | 4.74777i | −0.200239 | − | 0.159685i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.698795 | + | 3.06162i | 0.0234765 | + | 0.102857i | ||||
\(887\) | −3.19597 | − | 1.53910i | −0.107310 | − | 0.0516778i | 0.379459 | − | 0.925209i | \(-0.376110\pi\) |
−0.486769 | + | 0.873531i | \(0.661825\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −20.0177 | + | 15.0301i | −0.671371 | + | 0.504095i | ||||
\(890\) | 10.1632 | − | 21.1042i | 0.340672 | − | 0.707413i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 4.03993 | + | 8.38900i | 0.135267 | + | 0.280885i | ||||
\(893\) | −43.3435 | − | 34.5653i | −1.45043 | − | 1.15668i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −29.7932 | − | 23.7593i | −0.995876 | − | 0.794185i | ||||
\(896\) | 6.11900 | − | 7.23009i | 0.204421 | − | 0.241540i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 19.1117 | − | 9.20369i | 0.637765 | − | 0.307131i | ||||
\(899\) | 2.47119 | − | 10.8270i | 0.0824189 | − | 0.361101i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 0.424363i | − | 0.0141376i | ||||||
\(902\) | 7.96155 | − | 34.8818i | 0.265091 | − | 1.16144i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.0706270 | − | 0.309437i | −0.00234902 | − | 0.0102917i | ||||
\(905\) | 20.4511 | − | 4.66782i | 0.679817 | − | 0.155164i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.87768 | + | 9.87830i | 0.261574 | + | 0.328003i | 0.895224 | − | 0.445616i | \(-0.147015\pi\) |
−0.633650 | + | 0.773620i | \(0.718444\pi\) | |||||||
\(908\) | 1.39756 | + | 6.12310i | 0.0463796 | + | 0.203202i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 12.6051 | − | 9.46444i | 0.417854 | − | 0.313743i | ||||
\(911\) | −14.2777 | − | 3.25879i | −0.473041 | − | 0.107969i | −0.0206474 | − | 0.999787i | \(-0.506573\pi\) |
−0.452394 | + | 0.891818i | \(0.649430\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 10.4234i | 0.344964i | ||||||||
\(914\) | 22.0024 | + | 5.02192i | 0.727776 | + | 0.166110i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 9.66616 | − | 7.70850i | 0.319379 | − | 0.254696i | ||||
\(917\) | 26.6916 | + | 6.91671i | 0.881435 | + | 0.228410i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.83118 | + | 25.5481i | −0.192353 | + | 0.842753i | 0.782986 | + | 0.622040i | \(0.213696\pi\) |
−0.975339 | + | 0.220714i | \(0.929161\pi\) | |||||||
\(920\) | −3.92682 | + | 4.92408i | −0.129463 | + | 0.162342i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 12.9090 | − | 10.2946i | 0.425136 | − | 0.339035i | ||||
\(923\) | 9.50610 | + | 4.57790i | 0.312897 | + | 0.150683i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 16.5222 | − | 7.95668i | 0.543247 | − | 0.261614i | ||||
\(926\) | 10.3009 | − | 21.3901i | 0.338509 | − | 0.702922i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −22.3747 | − | 10.7751i | −0.734487 | − | 0.353710i | ||||
\(929\) | 19.2409 | − | 24.1274i | 0.631274 | − | 0.791593i | −0.358607 | − | 0.933489i | \(-0.616748\pi\) |
0.989882 | + | 0.141895i | \(0.0453197\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 43.8164 | − | 7.34488i | 1.43602 | − | 0.240719i | ||||
\(932\) | 8.35657i | 0.273729i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −20.1542 | + | 41.8506i | −0.659465 | + | 1.36939i | ||||
\(935\) | 18.8958 | − | 4.31283i | 0.617957 | − | 0.141045i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 17.1374 | + | 35.5862i | 0.559855 | + | 1.16255i | 0.968305 | + | 0.249770i | \(0.0803550\pi\) |
−0.408451 | + | 0.912780i | \(0.633931\pi\) | |||||||
\(938\) | 6.64572 | + | 33.6047i | 0.216990 | + | 1.09723i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −5.42823 | − | 6.80678i | −0.177049 | − | 0.222013i | ||||
\(941\) | 8.05728 | − | 3.88018i | 0.262660 | − | 0.126490i | −0.297920 | − | 0.954591i | \(-0.596293\pi\) |
0.560579 | + | 0.828101i | \(0.310578\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −12.4177 | − | 2.83426i | −0.404376 | − | 0.0922961i | ||||
\(944\) | −2.56582 | + | 3.21744i | −0.0835103 | + | 0.104719i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.39978 | − | 3.00923i | −0.0780235 | − | 0.0978384i | ||||
\(947\) | −6.37741 | − | 13.2428i | −0.207238 | − | 0.430334i | 0.771280 | − | 0.636496i | \(-0.219617\pi\) |
−0.978518 | + | 0.206162i | \(0.933903\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −35.1432 | −1.14080 | ||||||||
\(950\) | 17.7107 | 0.574610 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 6.26816 | + | 31.6956i | 0.203152 | + | 1.02726i | ||||
\(953\) | 26.9110 | − | 6.14226i | 0.871733 | − | 0.198967i | 0.236823 | − | 0.971553i | \(-0.423894\pi\) |
0.634911 | + | 0.772585i | \(0.281037\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 25.8477 | − | 20.6129i | 0.836412 | − | 0.667016i | ||||
\(956\) | −5.47002 | + | 4.36220i | −0.176913 | + | 0.141084i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −29.1622 | + | 6.65609i | −0.942189 | + | 0.215049i | ||||
\(959\) | 0.266200 | − | 1.02727i | 0.00859604 | − | 0.0331721i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 28.7708 | 0.928091 | ||||||||
\(962\) | −28.4202 | −0.916302 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.94385 | + | 6.11296i | 0.0948150 | + | 0.196885i | ||||
\(965\) | −3.75675 | − | 4.71081i | −0.120934 | − | 0.151646i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.2313 | + | 25.3692i | −0.650594 | + | 0.815819i | −0.992283 | − | 0.123994i | \(-0.960430\pi\) |
0.341689 | + | 0.939813i | \(0.389001\pi\) | |||||||
\(968\) | 5.77857 | + | 1.31892i | 0.185730 | + | 0.0423917i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −11.0199 | + | 5.30689i | −0.353827 | + | 0.170394i | ||||
\(971\) | −27.1145 | − | 34.0005i | −0.870146 | − | 1.09113i | −0.995091 | − | 0.0989652i | \(-0.968447\pi\) |
0.124945 | − | 0.992164i | \(-0.460125\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.04680 | − | 2.25159i | 0.161793 | − | 0.0721828i | ||||
\(974\) | 2.68624 | + | 5.57804i | 0.0860727 | + | 0.178732i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −25.3274 | + | 5.78081i | −0.810709 | + | 0.185039i | ||||
\(977\) | −9.09110 | + | 18.8779i | −0.290850 | + | 0.603957i | −0.994280 | − | 0.106808i | \(-0.965937\pi\) |
0.703429 | + | 0.710765i | \(0.251651\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 36.9727i | − | 1.18165i | ||||||
\(980\) | 6.96520 | + | 0.406636i | 0.222495 | + | 0.0129895i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −23.6209 | + | 29.6197i | −0.753774 | + | 0.945202i | ||||
\(983\) | 40.4338 | + | 19.4719i | 1.28964 | + | 0.621057i | 0.947849 | − | 0.318720i | \(-0.103253\pi\) |
0.341789 | + | 0.939777i | \(0.388967\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −15.8213 | + | 32.8534i | −0.504110 | + | 1.04680i | ||||
\(986\) | −31.2991 | + | 15.0728i | −0.996765 | + | 0.480017i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 10.9734 | + | 5.28450i | 0.349110 | + | 0.168122i | ||||
\(989\) | −1.07126 | + | 0.854305i | −0.0340642 | + | 0.0271653i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 33.7996 | − | 42.3833i | 1.07368 | − | 1.34635i | 0.139227 | − | 0.990261i | \(-0.455538\pi\) |
0.934452 | − | 0.356090i | \(-0.115890\pi\) | |||||||
\(992\) | −1.10924 | + | 4.85990i | −0.0352184 | + | 0.154302i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −4.28808 | − | 9.61146i | −0.136010 | − | 0.304857i | ||||
\(995\) | −10.3018 | + | 8.21544i | −0.326590 | + | 0.260447i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 22.8150 | + | 5.20738i | 0.722559 | + | 0.164919i | 0.567958 | − | 0.823058i | \(-0.307734\pi\) |
0.154601 | + | 0.987977i | \(0.450591\pi\) | |||||||
\(998\) | 31.9503i | 1.01137i | ||||||||
\(999\) | 0 | 0 |
(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 | 441.2.w.a.251.8 | yes | 120 | |
3.2 | odd | 2 | inner | 441.2.w.a.251.13 | yes | 120 | |
49.41 | odd | 14 | inner | 441.2.w.a.188.13 | yes | 120 | |
147.41 | even | 14 | inner | 441.2.w.a.188.8 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.w.a.188.8 | ✓ | 120 | 147.41 | even | 14 | inner | |
441.2.w.a.188.13 | yes | 120 | 49.41 | odd | 14 | inner | |
441.2.w.a.251.8 | yes | 120 | 1.1 | even | 1 | trivial | |
441.2.w.a.251.13 | yes | 120 | 3.2 | odd | 2 | inner |