Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [603,2,Mod(200,603)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(603, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("603.200");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 603 = 3^{2} \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 603.l (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.81497924188\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(66\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 401.55 | ||
Character | \(\chi\) | \(=\) | 603.401 |
Dual form | 603.2.l.a.200.55 |
$q$-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 \(\left(\mathbb{Z}/603\mathbb{Z}\right)^\times\).
\(n\) | \(136\) | \(470\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00027 | + | 1.73252i | 0.707298 | + | 1.22508i | 0.965856 | + | 0.259080i | \(0.0834192\pi\) |
−0.258558 | + | 0.965996i | \(0.583247\pi\) | |||||||
\(3\) | 1.71459 | − | 0.245331i | 0.989918 | − | 0.141642i | ||||
\(4\) | −1.00108 | + | 1.73392i | −0.500540 | + | 0.866960i | ||||
\(5\) | 1.52156 | − | 2.63541i | 0.680460 | − | 1.17859i | −0.294380 | − | 0.955688i | \(-0.595113\pi\) |
0.974840 | − | 0.222904i | \(-0.0715535\pi\) | |||||||
\(6\) | 2.14009 | + | 2.72516i | 0.873689 | + | 1.11254i | ||||
\(7\) | −3.85817 | + | 2.22752i | −1.45825 | + | 0.841923i | −0.998926 | − | 0.0463446i | \(-0.985243\pi\) |
−0.459327 | + | 0.888267i | \(0.651909\pi\) | |||||||
\(8\) | −0.00431800 | −0.00152664 | ||||||||
\(9\) | 2.87962 | − | 0.841285i | 0.959875 | − | 0.280428i | ||||
\(10\) | 6.08787 | 1.92515 | ||||||||
\(11\) | −0.709185 | − | 1.22834i | −0.213827 | − | 0.370360i | 0.739082 | − | 0.673616i | \(-0.235260\pi\) |
−0.952909 | + | 0.303256i | \(0.901926\pi\) | |||||||
\(12\) | −1.29105 | + | 3.21855i | −0.372695 | + | 0.929117i | ||||
\(13\) | 5.59099 | + | 3.22796i | 1.55066 | + | 0.895274i | 0.998088 | + | 0.0618096i | \(0.0196872\pi\) |
0.552573 | + | 0.833465i | \(0.313646\pi\) | |||||||
\(14\) | −7.71843 | − | 4.45624i | −2.06284 | − | 1.19098i | ||||
\(15\) | 1.96229 | − | 4.89193i | 0.506662 | − | 1.26309i | ||||
\(16\) | 1.99784 | + | 3.46036i | 0.499460 | + | 0.865090i | ||||
\(17\) | − | 1.07720i | − | 0.261259i | −0.991431 | − | 0.130630i | \(-0.958300\pi\) | ||
0.991431 | − | 0.130630i | \(-0.0416999\pi\) | |||||||
\(18\) | 4.33794 | + | 4.14749i | 1.02246 | + | 0.977573i | ||||
\(19\) | −1.95221 | −0.447869 | −0.223934 | − | 0.974604i | \(-0.571890\pi\) | ||||
−0.223934 | + | 0.974604i | \(0.571890\pi\) | |||||||
\(20\) | 3.04640 | + | 5.27651i | 0.681195 | + | 1.17986i | ||||
\(21\) | −6.06870 | + | 4.76581i | −1.32430 | + | 1.03998i | ||||
\(22\) | 1.41875 | − | 2.45735i | 0.302479 | − | 0.523909i | ||||
\(23\) | −1.10687 | − | 0.639051i | −0.230798 | − | 0.133251i | 0.380142 | − | 0.924928i | \(-0.375875\pi\) |
−0.610940 | + | 0.791677i | \(0.709208\pi\) | |||||||
\(24\) | −0.00740359 | + | 0.00105934i | −0.00151125 | + | 0.000216237i | ||||
\(25\) | −2.13026 | − | 3.68973i | −0.426053 | − | 0.737945i | ||||
\(26\) | 12.9153i | 2.53290i | ||||||||
\(27\) | 4.73098 | − | 2.14892i | 0.910477 | − | 0.413560i | ||||
\(28\) | − | 8.91969i | − | 1.68566i | ||||||
\(29\) | −0.597111 | + | 0.344742i | −0.110881 | + | 0.0640170i | −0.554415 | − | 0.832240i | \(-0.687058\pi\) |
0.443534 | + | 0.896258i | \(0.353725\pi\) | |||||||
\(30\) | 10.4382 | − | 1.49355i | 1.90574 | − | 0.272683i | ||||
\(31\) | −3.08813 | − | 1.78293i | −0.554644 | − | 0.320224i | 0.196349 | − | 0.980534i | \(-0.437092\pi\) |
−0.750993 | + | 0.660310i | \(0.770425\pi\) | |||||||
\(32\) | −4.00107 | + | 6.93006i | −0.707297 | + | 1.22507i | ||||
\(33\) | −1.51731 | − | 1.93212i | −0.264130 | − | 0.336339i | ||||
\(34\) | 1.86627 | − | 1.07749i | 0.320063 | − | 0.184788i | ||||
\(35\) | 13.5572i | 2.29158i | ||||||||
\(36\) | −1.42401 | + | 5.83523i | −0.237335 | + | 0.972539i | ||||
\(37\) | −8.82360 | −1.45059 | −0.725295 | − | 0.688438i | \(-0.758297\pi\) | ||||
−0.725295 | + | 0.688438i | \(0.758297\pi\) | |||||||
\(38\) | −1.95274 | − | 3.38225i | −0.316776 | − | 0.548673i | ||||
\(39\) | 10.3782 | + | 4.16297i | 1.66184 | + | 0.666609i | ||||
\(40\) | −0.00657008 | + | 0.0113797i | −0.00103882 | + | 0.00179929i | ||||
\(41\) | 5.55545 | − | 9.62233i | 0.867616 | − | 1.50275i | 0.00318969 | − | 0.999995i | \(-0.498985\pi\) |
0.864426 | − | 0.502760i | \(-0.167682\pi\) | |||||||
\(42\) | −14.3272 | − | 5.74704i | −2.21073 | − | 0.886787i | ||||
\(43\) | 0.111123 | − | 0.0641570i | 0.0169461 | − | 0.00978386i | −0.491503 | − | 0.870876i | \(-0.663552\pi\) |
0.508449 | + | 0.861092i | \(0.330219\pi\) | |||||||
\(44\) | 2.83980 | 0.428116 | ||||||||
\(45\) | 2.16438 | − | 8.86906i | 0.322646 | − | 1.32212i | ||||
\(46\) | − | 2.55689i | − | 0.376993i | ||||||
\(47\) | −5.08344 | + | 2.93492i | −0.741495 | + | 0.428102i | −0.822613 | − | 0.568602i | \(-0.807484\pi\) |
0.0811175 | + | 0.996705i | \(0.474151\pi\) | |||||||
\(48\) | 4.27441 | + | 5.44296i | 0.616957 | + | 0.785623i | ||||
\(49\) | 6.42367 | − | 11.1261i | 0.917667 | − | 1.58945i | ||||
\(50\) | 4.26168 | − | 7.38144i | 0.602692 | − | 1.04389i | ||||
\(51\) | −0.264271 | − | 1.84696i | −0.0370054 | − | 0.258625i | ||||
\(52\) | −11.1940 | + | 6.46288i | −1.55233 | + | 0.896241i | ||||
\(53\) | 1.00114 | 0.137517 | 0.0687585 | − | 0.997633i | \(-0.478096\pi\) | ||||
0.0687585 | + | 0.997633i | \(0.478096\pi\) | |||||||
\(54\) | 8.45530 | + | 6.04700i | 1.15062 | + | 0.822893i | ||||
\(55\) | −4.31626 | −0.582004 | ||||||||
\(56\) | 0.0166596 | − | 0.00961842i | 0.00222623 | − | 0.00128532i | ||||
\(57\) | −3.34724 | + | 0.478940i | −0.443353 | + | 0.0634371i | ||||
\(58\) | −1.19454 | − | 0.689671i | −0.156851 | − | 0.0905582i | ||||
\(59\) | −12.0967 | − | 6.98405i | −1.57486 | − | 0.909246i | −0.995560 | − | 0.0941316i | \(-0.969993\pi\) |
−0.579300 | − | 0.815114i | \(-0.696674\pi\) | |||||||
\(60\) | 6.51781 | + | 8.29967i | 0.841446 | + | 1.07148i | ||||
\(61\) | −6.65968 | + | 3.84497i | −0.852685 | + | 0.492298i | −0.861556 | − | 0.507663i | \(-0.830510\pi\) |
0.00887084 | + | 0.999961i | \(0.497176\pi\) | |||||||
\(62\) | − | 7.13365i | − | 0.905975i | ||||||
\(63\) | −9.23612 | + | 9.66024i | −1.16364 | + | 1.21708i | ||||
\(64\) | −8.01726 | −1.00216 | ||||||||
\(65\) | 17.0140 | − | 9.82304i | 2.11033 | − | 1.21840i | ||||
\(66\) | 1.82971 | − | 4.56141i | 0.225222 | − | 0.561471i | ||||
\(67\) | −6.37485 | + | 5.13432i | −0.778812 | + | 0.627258i | ||||
\(68\) | 1.86778 | + | 1.07836i | 0.226502 | + | 0.130771i | ||||
\(69\) | −2.05460 | − | 0.824159i | −0.247345 | − | 0.0992171i | ||||
\(70\) | −23.4880 | + | 13.5608i | −2.80736 | + | 1.62083i | ||||
\(71\) | 1.83377i | 0.217629i | 0.994062 | + | 0.108814i | \(0.0347054\pi\) | ||||
−0.994062 | + | 0.108814i | \(0.965295\pi\) | |||||||
\(72\) | −0.0124342 | + | 0.00363267i | −0.00146539 | + | 0.000428114i | ||||
\(73\) | −13.4728 | −1.57687 | −0.788435 | − | 0.615118i | \(-0.789108\pi\) | ||||
−0.788435 | + | 0.615118i | \(0.789108\pi\) | |||||||
\(74\) | −8.82598 | − | 15.2870i | −1.02600 | − | 1.77708i | ||||
\(75\) | −4.55773 | − | 5.80374i | −0.526282 | − | 0.670158i | ||||
\(76\) | 1.95432 | − | 3.38498i | 0.224176 | − | 0.388284i | ||||
\(77\) | 5.47232 | + | 3.15944i | 0.623628 | + | 0.360052i | ||||
\(78\) | 3.16853 | + | 22.1444i | 0.358766 | + | 2.50736i | ||||
\(79\) | 10.5118 | − | 6.06898i | 1.18267 | − | 0.682813i | 0.226037 | − | 0.974119i | \(-0.427423\pi\) |
0.956630 | + | 0.291306i | \(0.0940896\pi\) | |||||||
\(80\) | 12.1593 | 1.35945 | ||||||||
\(81\) | 7.58448 | − | 4.84517i | 0.842720 | − | 0.538352i | ||||
\(82\) | 22.2278 | 2.45465 | ||||||||
\(83\) | −5.22638 | + | 3.01745i | −0.573670 | + | 0.331208i | −0.758614 | − | 0.651541i | \(-0.774123\pi\) |
0.184944 | + | 0.982749i | \(0.440790\pi\) | |||||||
\(84\) | −2.18828 | − | 15.2936i | −0.238761 | − | 1.66867i | ||||
\(85\) | −2.83887 | − | 1.63902i | −0.307918 | − | 0.177777i | ||||
\(86\) | 0.222306 | + | 0.128349i | 0.0239719 | + | 0.0138402i | ||||
\(87\) | −0.939224 | + | 0.737581i | −0.100695 | + | 0.0790770i | ||||
\(88\) | 0.00306226 | + | 0.00530399i | 0.000326438 | + | 0.000565407i | ||||
\(89\) | 5.36207i | 0.568379i | 0.958768 | + | 0.284189i | \(0.0917244\pi\) | ||||
−0.958768 | + | 0.284189i | \(0.908276\pi\) | |||||||
\(90\) | 17.5308 | − | 5.12163i | 1.84791 | − | 0.539867i | ||||
\(91\) | −28.7613 | −3.01501 | ||||||||
\(92\) | 2.21613 | − | 1.27948i | 0.231047 | − | 0.133395i | ||||
\(93\) | −5.73228 | − | 2.29938i | −0.594410 | − | 0.238434i | ||||
\(94\) | −10.1696 | − | 5.87143i | −1.04892 | − | 0.605592i | ||||
\(95\) | −2.97040 | + | 5.14489i | −0.304757 | + | 0.527855i | ||||
\(96\) | −5.16003 | + | 12.8638i | −0.526644 | + | 1.31291i | ||||
\(97\) | −4.76241 | + | 2.74958i | −0.483549 | + | 0.279177i | −0.721894 | − | 0.692003i | \(-0.756728\pi\) |
0.238345 | + | 0.971181i | \(0.423395\pi\) | |||||||
\(98\) | 25.7016 | 2.59626 | ||||||||
\(99\) | −3.07557 | − | 2.94054i | −0.309107 | − | 0.295536i | ||||
\(100\) | 8.53025 | 0.853025 | ||||||||
\(101\) | 6.74859 | + | 11.6889i | 0.671510 | + | 1.16309i | 0.977476 | + | 0.211047i | \(0.0676874\pi\) |
−0.305966 | + | 0.952043i | \(0.598979\pi\) | |||||||
\(102\) | 2.93554 | − | 2.30531i | 0.290662 | − | 0.228260i | ||||
\(103\) | −6.79212 | + | 11.7643i | −0.669247 | + | 1.15917i | 0.308868 | + | 0.951105i | \(0.400050\pi\) |
−0.978115 | + | 0.208065i | \(0.933283\pi\) | |||||||
\(104\) | −0.0241419 | − | 0.0139383i | −0.00236731 | − | 0.00136676i | ||||
\(105\) | 3.32600 | + | 23.2450i | 0.324584 | + | 2.26848i | ||||
\(106\) | 1.00141 | + | 1.73449i | 0.0972654 | + | 0.168469i | ||||
\(107\) | − | 8.42349i | − | 0.814330i | −0.913355 | − | 0.407165i | \(-0.866517\pi\) | ||
0.913355 | − | 0.407165i | \(-0.133483\pi\) | |||||||
\(108\) | −1.01003 | + | 10.3544i | −0.0971899 | + | 0.996350i | ||||
\(109\) | − | 17.3509i | − | 1.66191i | −0.556338 | − | 0.830956i | \(-0.687794\pi\) | ||
0.556338 | − | 0.830956i | \(-0.312206\pi\) | |||||||
\(110\) | −4.31742 | − | 7.47799i | −0.411650 | − | 0.712999i | ||||
\(111\) | −15.1288 | + | 2.16471i | −1.43597 | + | 0.205465i | ||||
\(112\) | −15.4160 | − | 8.90044i | −1.45668 | − | 0.841013i | ||||
\(113\) | 0.0149710 | − | 0.0259305i | 0.00140835 | − | 0.00243934i | −0.865320 | − | 0.501219i | \(-0.832885\pi\) |
0.866729 | + | 0.498780i | \(0.166218\pi\) | |||||||
\(114\) | −4.17792 | − | 5.32009i | −0.391298 | − | 0.498272i | ||||
\(115\) | −3.36832 | + | 1.94470i | −0.314098 | + | 0.181345i | ||||
\(116\) | − | 1.38046i | − | 0.128172i | ||||||
\(117\) | 18.8156 | + | 4.59169i | 1.73950 | + | 0.424502i | ||||
\(118\) | − | 27.9437i | − | 2.57243i | ||||||
\(119\) | 2.39948 | + | 4.15603i | 0.219960 | + | 0.380982i | ||||
\(120\) | −0.00847318 | + | 0.0211234i | −0.000773492 | + | 0.00192829i | ||||
\(121\) | 4.49411 | − | 7.78403i | 0.408556 | − | 0.707639i | ||||
\(122\) | −13.3230 | − | 7.69201i | −1.20620 | − | 0.696402i | ||||
\(123\) | 7.16465 | − | 17.8613i | 0.646015 | − | 1.61049i | ||||
\(124\) | 6.18292 | − | 3.56971i | 0.555243 | − | 0.320570i | ||||
\(125\) | 2.25029 | 0.201272 | ||||||||
\(126\) | −25.9751 | − | 6.33889i | −2.31405 | − | 0.564714i | ||||
\(127\) | 12.7268 | 1.12932 | 0.564659 | − | 0.825324i | \(-0.309008\pi\) | ||||
0.564659 | + | 0.825324i | \(0.309008\pi\) | |||||||
\(128\) | −0.0172720 | − | 0.0299160i | −0.00152664 | − | 0.00264422i | ||||
\(129\) | 0.174791 | − | 0.137265i | 0.0153895 | − | 0.0120855i | ||||
\(130\) | 34.0372 | + | 19.6514i | 2.98526 | + | 1.72354i | ||||
\(131\) | −5.76391 | − | 3.32780i | −0.503595 | − | 0.290751i | 0.226602 | − | 0.973988i | \(-0.427238\pi\) |
−0.730197 | + | 0.683237i | \(0.760572\pi\) | |||||||
\(132\) | 4.86909 | − | 0.696693i | 0.423800 | − | 0.0606393i | ||||
\(133\) | 7.53198 | − | 4.34859i | 0.653106 | − | 0.377071i | ||||
\(134\) | −15.2719 | − | 5.90883i | −1.31929 | − | 0.510446i | ||||
\(135\) | 1.53516 | − | 15.7378i | 0.132125 | − | 1.35449i | ||||
\(136\) | 0.00465135i | 0.000398850i | ||||||||
\(137\) | 9.20632 | + | 15.9458i | 0.786549 | + | 1.36234i | 0.928070 | + | 0.372407i | \(0.121467\pi\) |
−0.141521 | + | 0.989935i | \(0.545199\pi\) | |||||||
\(138\) | −0.627286 | − | 4.38402i | −0.0533982 | − | 0.373192i | ||||
\(139\) | 12.2794 | + | 7.08953i | 1.04153 | + | 0.601326i | 0.920265 | − | 0.391295i | \(-0.127973\pi\) |
0.121261 | + | 0.992621i | \(0.461306\pi\) | |||||||
\(140\) | −23.5071 | − | 13.5718i | −1.98671 | − | 1.14703i | ||||
\(141\) | −7.99597 | + | 6.27931i | −0.673382 | + | 0.528813i | ||||
\(142\) | −3.17704 | + | 1.83427i | −0.266612 | + | 0.153928i | ||||
\(143\) | − | 9.15687i | − | 0.765736i | ||||||
\(144\) | 8.66418 | + | 8.28378i | 0.722015 | + | 0.690315i | ||||
\(145\) | 2.09818i | 0.174244i | ||||||||
\(146\) | −13.4764 | − | 23.3418i | −1.11532 | − | 1.93178i | ||||
\(147\) | 8.28436 | − | 20.6526i | 0.683283 | − | 1.70340i | ||||
\(148\) | 8.83312 | − | 15.2994i | 0.726078 | − | 1.25760i | ||||
\(149\) | 14.0833 | + | 8.13098i | 1.15375 | + | 0.666116i | 0.949797 | − | 0.312865i | \(-0.101289\pi\) |
0.203949 | + | 0.978981i | \(0.434622\pi\) | |||||||
\(150\) | 5.49612 | − | 13.7017i | 0.448757 | − | 1.11874i | ||||
\(151\) | −4.77649 | − | 8.27312i | −0.388705 | − | 0.673257i | 0.603571 | − | 0.797310i | \(-0.293744\pi\) |
−0.992276 | + | 0.124053i | \(0.960411\pi\) | |||||||
\(152\) | 0.00842966 | 0.000683736 | ||||||||
\(153\) | −0.906233 | − | 3.10193i | −0.0732646 | − | 0.250776i | ||||
\(154\) | 12.6412i | 1.01866i | ||||||||
\(155\) | −9.39752 | + | 5.42566i | −0.754827 | + | 0.435800i | ||||
\(156\) | −17.6076 | + | 13.8274i | −1.40974 | + | 1.10708i | ||||
\(157\) | −4.01194 | + | 6.94888i | −0.320187 | + | 0.554581i | −0.980527 | − | 0.196387i | \(-0.937079\pi\) |
0.660339 | + | 0.750968i | \(0.270413\pi\) | |||||||
\(158\) | 21.0292 | + | 12.1412i | 1.67300 | + | 0.965904i | ||||
\(159\) | 1.71654 | − | 0.245611i | 0.136130 | − | 0.0194782i | ||||
\(160\) | 12.1757 | + | 21.0890i | 0.962575 | + | 1.66723i | ||||
\(161\) | 5.69399 | 0.448749 | ||||||||
\(162\) | 15.9809 | + | 8.29377i | 1.25558 | + | 0.651620i | ||||
\(163\) | 12.5512 | 0.983087 | 0.491543 | − | 0.870853i | \(-0.336433\pi\) | ||||
0.491543 | + | 0.870853i | \(0.336433\pi\) | |||||||
\(164\) | 11.1229 | + | 19.2654i | 0.868552 | + | 1.50438i | ||||
\(165\) | −7.40060 | + | 1.05891i | −0.576136 | + | 0.0824363i | ||||
\(166\) | −10.4556 | − | 6.03653i | −0.811510 | − | 0.468526i | ||||
\(167\) | 6.42358 | + | 3.70866i | 0.497072 | + | 0.286985i | 0.727504 | − | 0.686104i | \(-0.240681\pi\) |
−0.230432 | + | 0.973088i | \(0.574014\pi\) | |||||||
\(168\) | 0.0262046 | − | 0.0205788i | 0.00202173 | − | 0.00158769i | ||||
\(169\) | 14.3394 | + | 24.8366i | 1.10303 | + | 1.91051i | ||||
\(170\) | − | 6.55785i | − | 0.502964i | ||||||
\(171\) | −5.62165 | + | 1.64237i | −0.429898 | + | 0.125595i | ||||
\(172\) | 0.256905i | 0.0195888i | ||||||||
\(173\) | 17.6165 | − | 10.1709i | 1.33936 | − | 0.773278i | 0.352645 | − | 0.935757i | \(-0.385282\pi\) |
0.986712 | + | 0.162479i | \(0.0519490\pi\) | |||||||
\(174\) | −2.21735 | − | 0.889442i | −0.168097 | − | 0.0674284i | ||||
\(175\) | 16.4379 | + | 9.49040i | 1.24259 | + | 0.717407i | ||||
\(176\) | 2.83367 | − | 4.90807i | 0.213596 | − | 0.369960i | ||||
\(177\) | −22.4543 | − | 9.00706i | −1.68777 | − | 0.677012i | ||||
\(178\) | −9.28989 | + | 5.36352i | −0.696307 | + | 0.402013i | ||||
\(179\) | 9.07813 | 0.678531 | 0.339266 | − | 0.940691i | \(-0.389821\pi\) | ||||
0.339266 | + | 0.940691i | \(0.389821\pi\) | |||||||
\(180\) | 13.2115 | + | 12.6315i | 0.984729 | + | 0.941496i | ||||
\(181\) | −2.08147 | −0.154715 | −0.0773574 | − | 0.997003i | \(-0.524648\pi\) | ||||
−0.0773574 | + | 0.997003i | \(0.524648\pi\) | |||||||
\(182\) | −28.7691 | − | 49.8295i | −2.13251 | − | 3.69361i | ||||
\(183\) | −10.4753 | + | 8.22637i | −0.774358 | + | 0.608111i | ||||
\(184\) | 0.00477946 | + | 0.00275942i | 0.000352346 | + | 0.000203427i | ||||
\(185\) | −13.4256 | + | 23.2538i | −0.987069 | + | 1.70965i | ||||
\(186\) | −1.75011 | − | 12.2313i | −0.128324 | − | 0.896840i | ||||
\(187\) | −1.32317 | + | 0.763934i | −0.0967600 | + | 0.0558644i | ||||
\(188\) | − | 11.7524i | − | 0.857129i | ||||||
\(189\) | −13.4662 | + | 18.8292i | −0.979520 | + | 1.36963i | ||||
\(190\) | −11.8848 | −0.862215 | ||||||||
\(191\) | 9.54928 | + | 16.5398i | 0.690961 | + | 1.19678i | 0.971523 | + | 0.236944i | \(0.0761459\pi\) |
−0.280562 | + | 0.959836i | \(0.590521\pi\) | |||||||
\(192\) | −13.7463 | + | 1.96689i | −0.992053 | + | 0.141948i | ||||
\(193\) | 2.83293 | − | 4.90678i | 0.203919 | − | 0.353198i | −0.745869 | − | 0.666093i | \(-0.767965\pi\) |
0.949788 | + | 0.312895i | \(0.101299\pi\) | |||||||
\(194\) | −9.52739 | − | 5.50064i | −0.684026 | − | 0.394923i | ||||
\(195\) | 26.7621 | − | 21.0165i | 1.91647 | − | 1.50502i | ||||
\(196\) | 12.8612 | + | 22.2763i | 0.918658 | + | 1.59116i | ||||
\(197\) | −3.86855 | −0.275623 | −0.137811 | − | 0.990458i | \(-0.544007\pi\) | ||||
−0.137811 | + | 0.990458i | \(0.544007\pi\) | |||||||
\(198\) | 2.01814 | − | 8.26982i | 0.143423 | − | 0.587711i | ||||
\(199\) | 11.5200 | 0.816634 | 0.408317 | − | 0.912840i | \(-0.366116\pi\) | ||||
0.408317 | + | 0.912840i | \(0.366116\pi\) | |||||||
\(200\) | 0.00919848 | + | 0.0159322i | 0.000650431 | + | 0.00112658i | ||||
\(201\) | −9.67063 | + | 10.3672i | −0.682114 | + | 0.731246i | ||||
\(202\) | −13.5008 | + | 23.3841i | −0.949915 | + | 1.64530i | ||||
\(203\) | 1.53584 | − | 2.66015i | 0.107795 | − | 0.186706i | ||||
\(204\) | 3.46703 | + | 1.39072i | 0.242741 | + | 0.0973701i | ||||
\(205\) | −16.9059 | − | 29.2818i | −1.18076 | − | 2.04513i | ||||
\(206\) | −27.1758 | −1.89343 | ||||||||
\(207\) | −3.72499 | − | 0.909035i | −0.258905 | − | 0.0631823i | ||||
\(208\) | 25.7958i | 1.78861i | ||||||||
\(209\) | 1.38448 | + | 2.39799i | 0.0957665 | + | 0.165873i | ||||
\(210\) | −36.9454 | + | 29.0136i | −2.54948 | + | 2.00213i | ||||
\(211\) | −1.63216 | + | 2.82698i | −0.112362 | + | 0.194617i | −0.916722 | − | 0.399525i | \(-0.869175\pi\) |
0.804360 | + | 0.594142i | \(0.202508\pi\) | |||||||
\(212\) | −1.00222 | + | 1.73589i | −0.0688327 | + | 0.119222i | ||||
\(213\) | 0.449882 | + | 3.14417i | 0.0308254 | + | 0.215435i | ||||
\(214\) | 14.5938 | − | 8.42576i | 0.997615 | − | 0.575973i | ||||
\(215\) | − | 0.390474i | − | 0.0266301i | ||||||
\(216\) | −0.0204284 | + | 0.00927903i | −0.00138997 | + | 0.000631358i | ||||
\(217\) | 15.8860 | 1.07842 | ||||||||
\(218\) | 30.0607 | − | 17.3556i | 2.03597 | − | 1.17547i | ||||
\(219\) | −23.1003 | + | 3.30530i | −1.56097 | + | 0.223351i | ||||
\(220\) | 4.32092 | − | 7.48404i | 0.291316 | − | 0.504574i | ||||
\(221\) | 3.47716 | − | 6.02261i | 0.233899 | − | 0.405125i | ||||
\(222\) | −18.8833 | − | 24.0457i | −1.26736 | − | 1.61384i | ||||
\(223\) | −7.46204 | − | 12.9246i | −0.499695 | − | 0.865497i | 0.500305 | − | 0.865849i | \(-0.333221\pi\) |
−1.00000 | 0.000352234i | \(0.999888\pi\) | ||||||||
\(224\) | − | 35.6499i | − | 2.38196i | ||||||
\(225\) | −9.23847 | − | 8.83287i | −0.615898 | − | 0.588858i | ||||
\(226\) | 0.0599001 | 0.00398450 | ||||||||
\(227\) | 14.0700 | − | 8.12331i | 0.933858 | − | 0.539163i | 0.0458284 | − | 0.998949i | \(-0.485407\pi\) |
0.888030 | + | 0.459786i | \(0.152074\pi\) | |||||||
\(228\) | 2.52041 | − | 6.28331i | 0.166918 | − | 0.416122i | ||||
\(229\) | −4.63954 | − | 2.67864i | −0.306589 | − | 0.177009i | 0.338810 | − | 0.940855i | \(-0.389976\pi\) |
−0.645399 | + | 0.763845i | \(0.723309\pi\) | |||||||
\(230\) | −6.73847 | − | 3.89046i | −0.444321 | − | 0.256529i | ||||
\(231\) | 10.1579 | + | 4.07461i | 0.668339 | + | 0.268090i | ||||
\(232\) | 0.00257833 | − | 0.00148860i | 0.000169275 | − | 9.77312e-5i | ||||
\(233\) | −9.85528 | −0.645641 | −0.322820 | − | 0.946460i | \(-0.604631\pi\) | ||||
−0.322820 | + | 0.946460i | \(0.604631\pi\) | |||||||
\(234\) | 10.8655 | + | 37.1913i | 0.710297 | + | 2.43127i | ||||
\(235\) | 17.8626i | 1.16523i | ||||||||
\(236\) | 24.2196 | − | 13.9832i | 1.57656 | − | 0.910227i | ||||
\(237\) | 16.5345 | − | 12.9847i | 1.07403 | − | 0.843445i | ||||
\(238\) | −4.80026 | + | 8.31430i | −0.311155 | + | 0.538936i | ||||
\(239\) | 0.820753 | − | 1.42159i | 0.0530901 | − | 0.0919547i | −0.838259 | − | 0.545272i | \(-0.816426\pi\) |
0.891349 | + | 0.453318i | \(0.149760\pi\) | |||||||
\(240\) | 20.8482 | − | 2.98306i | 1.34574 | − | 0.192556i | ||||
\(241\) | −6.22684 | − | 10.7852i | −0.401106 | − | 0.694736i | 0.592753 | − | 0.805384i | \(-0.298041\pi\) |
−0.993860 | + | 0.110648i | \(0.964708\pi\) | |||||||
\(242\) | 17.9813 | 1.15588 | ||||||||
\(243\) | 11.8156 | − | 10.1682i | 0.757970 | − | 0.652289i | ||||
\(244\) | − | 15.3965i | − | 0.985658i | ||||||
\(245\) | −19.5479 | − | 33.8580i | −1.24887 | − | 2.16311i | ||||
\(246\) | 38.1115 | − | 5.45318i | 2.42990 | − | 0.347682i | ||||
\(247\) | −10.9148 | − | 6.30167i | −0.694492 | − | 0.400965i | ||||
\(248\) | 0.0133345 | + | 0.00769870i | 0.000846744 | + | 0.000488868i | ||||
\(249\) | −8.22081 | + | 6.45588i | −0.520973 | + | 0.409125i | ||||
\(250\) | 2.25090 | + | 3.89867i | 0.142359 | + | 0.246574i | ||||
\(251\) | −15.7171 | −0.992056 | −0.496028 | − | 0.868306i | \(-0.665209\pi\) | ||||
−0.496028 | + | 0.868306i | \(0.665209\pi\) | |||||||
\(252\) | −7.50400 | − | 25.6854i | −0.472707 | − | 1.61803i | ||||
\(253\) | 1.81282i | 0.113971i | ||||||||
\(254\) | 12.7302 | + | 22.0493i | 0.798763 | + | 1.38350i | ||||
\(255\) | −5.26959 | − | 2.11378i | −0.329995 | − | 0.132370i | ||||
\(256\) | −7.98270 | + | 13.8265i | −0.498919 | + | 0.864153i | ||||
\(257\) | −12.7673 | − | 7.37120i | −0.796402 | − | 0.459803i | 0.0458097 | − | 0.998950i | \(-0.485413\pi\) |
−0.842211 | + | 0.539147i | \(0.818747\pi\) | |||||||
\(258\) | 0.412652 | + | 0.165526i | 0.0256906 | + | 0.0103052i | ||||
\(259\) | 34.0430 | − | 19.6547i | 2.11533 | − | 1.22128i | ||||
\(260\) | 39.3345i | 2.43942i | ||||||||
\(261\) | −1.42943 | + | 1.49507i | −0.0884795 | + | 0.0925425i | ||||
\(262\) | − | 13.3148i | − | 0.822590i | ||||||
\(263\) | −21.4648 | + | 12.3927i | −1.32357 | + | 0.764166i | −0.984297 | − | 0.176520i | \(-0.943516\pi\) |
−0.339278 | + | 0.940686i | \(0.610183\pi\) | |||||||
\(264\) | 0.00655175 | + | 0.00834289i | 0.000403232 | + | 0.000513469i | ||||
\(265\) | 1.52329 | − | 2.63841i | 0.0935749 | − | 0.162076i | ||||
\(266\) | 15.0680 | + | 8.69953i | 0.923880 | + | 0.533402i | ||||
\(267\) | 1.31549 | + | 9.19375i | 0.0805064 | + | 0.562648i | ||||
\(268\) | −2.52078 | − | 16.1933i | −0.153981 | − | 0.989166i | ||||
\(269\) | 2.14849i | 0.130996i | 0.997853 | + | 0.0654978i | \(0.0208635\pi\) | ||||
−0.997853 | + | 0.0654978i | \(0.979136\pi\) | |||||||
\(270\) | 28.8016 | − | 13.0823i | 1.75281 | − | 0.796166i | ||||
\(271\) | − | 12.8224i | − | 0.778903i | −0.921047 | − | 0.389452i | \(-0.872665\pi\) | ||
0.921047 | − | 0.389452i | \(-0.127335\pi\) | |||||||
\(272\) | 3.72750 | − | 2.15207i | 0.226013 | − | 0.130489i | ||||
\(273\) | −49.3138 | + | 7.05606i | −2.98461 | + | 0.427052i | ||||
\(274\) | −18.4176 | + | 31.9002i | −1.11265 | + | 1.92716i | ||||
\(275\) | −3.02150 | + | 5.23340i | −0.182203 | + | 0.315586i | ||||
\(276\) | 3.48585 | − | 2.73747i | 0.209823 | − | 0.164776i | ||||
\(277\) | 6.14615 | + | 10.6454i | 0.369286 | + | 0.639622i | 0.989454 | − | 0.144847i | \(-0.0462689\pi\) |
−0.620168 | + | 0.784469i | \(0.712936\pi\) | |||||||
\(278\) | 28.3658i | 1.70126i | ||||||||
\(279\) | −10.3926 | − | 2.53618i | −0.622189 | − | 0.151837i | ||||
\(280\) | − | 0.0585399i | − | 0.00349843i | ||||||
\(281\) | −12.0823 | − | 20.9272i | −0.720770 | − | 1.24841i | −0.960692 | − | 0.277618i | \(-0.910455\pi\) |
0.239922 | − | 0.970792i | \(-0.422878\pi\) | |||||||
\(282\) | −18.8771 | − | 7.57216i | −1.12412 | − | 0.450915i | ||||
\(283\) | −0.777817 | + | 1.34722i | −0.0462364 | + | 0.0800838i | −0.888217 | − | 0.459423i | \(-0.848056\pi\) |
0.841981 | + | 0.539507i | \(0.181389\pi\) | |||||||
\(284\) | −3.17962 | − | 1.83575i | −0.188675 | − | 0.108932i | ||||
\(285\) | −3.83081 | + | 9.55010i | −0.226918 | + | 0.565699i | ||||
\(286\) | 15.8644 | − | 9.15934i | 0.938085 | − | 0.541603i | ||||
\(287\) | 49.4995i | 2.92186i | ||||||||
\(288\) | −5.69143 | + | 23.3220i | −0.335371 | + | 1.37426i | ||||
\(289\) | 15.8396 | 0.931743 | ||||||||
\(290\) | −3.63513 | + | 2.09874i | −0.213462 | + | 0.123243i | ||||
\(291\) | −7.49101 | + | 5.88276i | −0.439131 | + | 0.344854i | ||||
\(292\) | 13.4873 | − | 23.3607i | 0.789286 | − | 1.36708i | ||||
\(293\) | 12.0202 | + | 6.93989i | 0.702230 | + | 0.405433i | 0.808177 | − | 0.588939i | \(-0.200454\pi\) |
−0.105947 | + | 0.994372i | \(0.533788\pi\) | |||||||
\(294\) | 44.0677 | − | 6.30542i | 2.57008 | − | 0.367739i | ||||
\(295\) | −36.8117 | + | 21.2532i | −2.14326 | + | 1.23741i | ||||
\(296\) | 0.0381003 | 0.00221453 | ||||||||
\(297\) | −5.99475 | − | 4.28729i | −0.347851 | − | 0.248774i | ||||
\(298\) | 32.5327i | 1.88457i | ||||||||
\(299\) | −4.12566 | − | 7.14585i | −0.238593 | − | 0.413255i | ||||
\(300\) | 14.6259 | − | 2.09274i | 0.844425 | − | 0.120824i | ||||
\(301\) | −0.285822 | + | 0.495058i | −0.0164745 | + | 0.0285347i | ||||
\(302\) | 9.55555 | − | 16.5507i | 0.549860 | − | 0.952386i | ||||
\(303\) | 14.4387 | + | 18.3860i | 0.829483 | + | 1.05625i | ||||
\(304\) | −3.90021 | − | 6.75536i | −0.223692 | − | 0.387447i | ||||
\(305\) | 23.4013i | 1.33996i | ||||||||
\(306\) | 4.46768 | − | 4.67283i | 0.255400 | − | 0.267128i | ||||
\(307\) | −9.56652 | −0.545990 | −0.272995 | − | 0.962015i | \(-0.588014\pi\) | ||||
−0.272995 | + | 0.962015i | \(0.588014\pi\) | |||||||
\(308\) | −10.9564 | + | 6.32571i | −0.624301 | + | 0.360441i | ||||
\(309\) | −8.75953 | + | 21.8372i | −0.498312 | + | 1.24228i | ||||
\(310\) | −18.8001 | − | 10.8542i | −1.06777 | − | 0.616480i | ||||
\(311\) | 7.78138 | − | 13.4777i | 0.441242 | − | 0.764253i | −0.556540 | − | 0.830821i | \(-0.687871\pi\) |
0.997782 | + | 0.0665677i | \(0.0212048\pi\) | |||||||
\(312\) | −0.0448129 | − | 0.0179757i | −0.00253703 | − | 0.00101767i | ||||
\(313\) | −14.1720 | + | 8.18220i | −0.801048 | + | 0.462485i | −0.843837 | − | 0.536599i | \(-0.819709\pi\) |
0.0427897 | + | 0.999084i | \(0.486375\pi\) | |||||||
\(314\) | −16.0521 | −0.905871 | ||||||||
\(315\) | 11.4054 | + | 39.0396i | 0.642624 | + | 2.19963i | ||||
\(316\) | 24.3021i | 1.36710i | ||||||||
\(317\) | 8.13424 | − | 4.69630i | 0.456864 | − | 0.263771i | −0.253861 | − | 0.967241i | \(-0.581700\pi\) |
0.710725 | + | 0.703470i | \(0.248367\pi\) | |||||||
\(318\) | 2.14253 | + | 2.72826i | 0.120147 | + | 0.152993i | ||||
\(319\) | 0.846924 | + | 0.488972i | 0.0474187 | + | 0.0273772i | ||||
\(320\) | −12.1987 | + | 21.1288i | −0.681928 | + | 1.18113i | ||||
\(321\) | −2.06655 | − | 14.4428i | −0.115343 | − | 0.806119i | ||||
\(322\) | 5.69552 | + | 9.86494i | 0.317399 | + | 0.549752i | ||||
\(323\) | 2.10293i | 0.117010i | ||||||||
\(324\) | 0.808473 | + | 18.0013i | 0.0449152 | + | 1.00007i | ||||
\(325\) | − | 27.5056i | − | 1.52574i | ||||||
\(326\) | 12.5546 | + | 21.7452i | 0.695335 | + | 1.20436i | ||||
\(327\) | −4.25672 | − | 29.7496i | −0.235397 | − | 1.64516i | ||||
\(328\) | −0.0239884 | + | 0.0415492i | −0.00132454 | + | 0.00229417i | ||||
\(329\) | 13.0752 | − | 22.6469i | 0.720858 | − | 1.24856i | ||||
\(330\) | −9.23719 | − | 11.7625i | −0.508490 | − | 0.647503i | ||||
\(331\) | 23.3700 | − | 13.4927i | 1.28453 | − | 0.741623i | 0.306856 | − | 0.951756i | \(-0.400723\pi\) |
0.977673 | + | 0.210133i | \(0.0673896\pi\) | |||||||
\(332\) | − | 12.0828i | − | 0.663132i | ||||||
\(333\) | −25.4086 | + | 7.42316i | −1.39239 | + | 0.406787i | ||||
\(334\) | 14.8386i | 0.811934i | ||||||||
\(335\) | 3.83137 | + | 24.6125i | 0.209330 | + | 1.34473i | ||||
\(336\) | −28.6157 | − | 11.4786i | −1.56111 | − | 0.626207i | ||||
\(337\) | 8.50560 | + | 4.91071i | 0.463330 | + | 0.267504i | 0.713443 | − | 0.700713i | \(-0.247135\pi\) |
−0.250114 | + | 0.968217i | \(0.580468\pi\) | |||||||
\(338\) | −28.6866 | + | 49.6866i | −1.56034 | + | 2.70260i | ||||
\(339\) | 0.0193075 | − | 0.0481330i | 0.00104864 | − | 0.00261423i | ||||
\(340\) | 5.68386 | − | 3.28158i | 0.308251 | − | 0.177969i | ||||
\(341\) | 5.05771i | 0.273890i | ||||||||
\(342\) | −8.46859 | − | 8.09679i | −0.457929 | − | 0.437824i | ||||
\(343\) | 26.0501i | 1.40657i | ||||||||
\(344\) | −0.000479830 | 0 | 0.000277030i | −2.58707e−5 | 0 | 1.49365e-5i | ||||
\(345\) | −5.29819 | + | 4.16072i | −0.285245 | + | 0.224006i | ||||
\(346\) | 35.2425 | + | 20.3473i | 1.89465 | + | 1.09388i | ||||
\(347\) | −9.96014 | + | 17.2515i | −0.534688 | + | 0.926107i | 0.464490 | + | 0.885578i | \(0.346238\pi\) |
−0.999178 | + | 0.0405290i | \(0.987096\pi\) | |||||||
\(348\) | −0.338670 | − | 2.36692i | −0.0181546 | − | 0.126880i | ||||
\(349\) | 17.3274 | + | 30.0120i | 0.927517 | + | 1.60651i | 0.787462 | + | 0.616363i | \(0.211394\pi\) |
0.140055 | + | 0.990144i | \(0.455272\pi\) | |||||||
\(350\) | 37.9719i | 2.02968i | ||||||||
\(351\) | 33.3875 | + | 3.25681i | 1.78209 | + | 0.173836i | ||||
\(352\) | 11.3500 | 0.604957 | ||||||||
\(353\) | 14.1644 | + | 24.5335i | 0.753896 | + | 1.30579i | 0.945921 | + | 0.324397i | \(0.105161\pi\) |
−0.192025 | + | 0.981390i | \(0.561505\pi\) | |||||||
\(354\) | −6.85548 | − | 47.9120i | −0.364365 | − | 2.54649i | ||||
\(355\) | 4.83275 | + | 2.79019i | 0.256496 | + | 0.148088i | ||||
\(356\) | −9.29741 | − | 5.36786i | −0.492762 | − | 0.284496i | ||||
\(357\) | 5.13373 | + | 6.53721i | 0.271706 | + | 0.345986i | ||||
\(358\) | 9.08058 | + | 15.7280i | 0.479924 | + | 0.831252i | ||||
\(359\) | 7.70775i | 0.406799i | 0.979096 | + | 0.203400i | \(0.0651991\pi\) | ||||
−0.979096 | + | 0.203400i | \(0.934801\pi\) | |||||||
\(360\) | −0.00934578 | + | 0.0382966i | −0.000492566 | + | 0.00201841i | ||||
\(361\) | −15.1889 | −0.799414 | ||||||||
\(362\) | −2.08204 | − | 3.60619i | −0.109429 | − | 0.189537i | ||||
\(363\) | 5.79589 | − | 14.4490i | 0.304205 | − | 0.758374i | ||||
\(364\) | 28.7924 | − | 49.8698i | 1.50913 | − | 2.61389i | ||||
\(365\) | −20.4996 | + | 35.5063i | −1.07300 | + | 1.85849i | ||||
\(366\) | −24.7305 | − | 9.92009i | −1.29268 | − | 0.518532i | ||||
\(367\) | −4.22370 | + | 2.43856i | −0.220476 | + | 0.127292i | −0.606170 | − | 0.795335i | \(-0.707295\pi\) |
0.385695 | + | 0.922626i | \(0.373962\pi\) | |||||||
\(368\) | − | 5.10688i | − | 0.266215i | ||||||
\(369\) | 7.90250 | − | 32.3824i | 0.411388 | − | 1.68576i | ||||
\(370\) | −53.7169 | −2.79261 | ||||||||
\(371\) | −3.86257 | + | 2.23005i | −0.200534 | + | 0.115779i | ||||
\(372\) | 9.72540 | − | 7.63745i | 0.504239 | − | 0.395983i | ||||
\(373\) | −12.7186 | − | 7.34307i | −0.658543 | − | 0.380210i | 0.133179 | − | 0.991092i | \(-0.457482\pi\) |
−0.791721 | + | 0.610882i | \(0.790815\pi\) | |||||||
\(374\) | −2.64706 | − | 1.52828i | −0.136876 | − | 0.0790255i | ||||
\(375\) | 3.85833 | − | 0.552068i | 0.199243 | − | 0.0285087i | ||||
\(376\) | 0.0219503 | − | 0.0126730i | 0.00113200 | − | 0.000653560i | ||||
\(377\) | −4.45125 | −0.229251 | ||||||||
\(378\) | −46.0918 | − | 4.49607i | −2.37071 | − | 0.231253i | ||||
\(379\) | − | 4.26310i | − | 0.218981i | −0.993988 | − | 0.109490i | \(-0.965078\pi\) | ||
0.993988 | − | 0.109490i | \(-0.0349219\pi\) | |||||||
\(380\) | −5.94722 | − | 10.3009i | −0.305086 | − | 0.528424i | ||||
\(381\) | 21.8212 | − | 3.12228i | 1.11793 | − | 0.159959i | ||||
\(382\) | −19.1037 | + | 33.0886i | −0.977431 | + | 1.69296i | ||||
\(383\) | 12.3410 | − | 21.3752i | 0.630594 | − | 1.09222i | −0.356837 | − | 0.934167i | \(-0.616145\pi\) |
0.987431 | − | 0.158054i | \(-0.0505219\pi\) | |||||||
\(384\) | −0.0369537 | − | 0.0470562i | −0.00188578 | − | 0.00240133i | ||||
\(385\) | 16.6529 | − | 9.61454i | 0.848709 | − | 0.490002i | ||||
\(386\) | 11.3348 | 0.576925 | ||||||||
\(387\) | 0.266019 | − | 0.278235i | 0.0135225 | − | 0.0141435i | ||||
\(388\) | − | 11.0102i | − | 0.558957i | ||||||
\(389\) | 3.14110 | − | 1.81352i | 0.159260 | − | 0.0919489i | −0.418252 | − | 0.908331i | \(-0.637357\pi\) |
0.577512 | + | 0.816382i | \(0.304024\pi\) | |||||||
\(390\) | 63.1808 | + | 25.3436i | 3.19929 | + | 1.28332i | ||||
\(391\) | −0.688386 | + | 1.19232i | −0.0348132 | + | 0.0602982i | ||||
\(392\) | −0.0277374 | + | 0.0480426i | −0.00140095 | + | 0.00242652i | ||||
\(393\) | −10.6991 | − | 4.29173i | −0.539701 | − | 0.216489i | ||||
\(394\) | −3.86959 | − | 6.70233i | −0.194947 | − | 0.337659i | ||||
\(395\) | − | 36.9371i | − | 1.85851i | ||||||
\(396\) | 8.17756 | − | 2.38908i | 0.410938 | − | 0.120056i | ||||
\(397\) | −0.304505 | −0.0152826 | −0.00764132 | − | 0.999971i | \(-0.502432\pi\) | ||||
−0.00764132 | + | 0.999971i | \(0.502432\pi\) | |||||||
\(398\) | 11.5232 | + | 19.9587i | 0.577603 | + | 1.00044i | ||||
\(399\) | 11.8474 | − | 9.30388i | 0.593112 | − | 0.465776i | ||||
\(400\) | 8.51185 | − | 14.7430i | 0.425593 | − | 0.737148i | ||||
\(401\) | −11.7600 | + | 20.3689i | −0.587267 | + | 1.01718i | 0.407322 | + | 0.913285i | \(0.366463\pi\) |
−0.994589 | + | 0.103892i | \(0.966870\pi\) | |||||||
\(402\) | −27.6346 | − | 6.38454i | −1.37829 | − | 0.318432i | ||||
\(403\) | −11.5105 | − | 19.9367i | −0.573377 | − | 0.993117i | ||||
\(404\) | −27.0235 | −1.34447 | ||||||||
\(405\) | −1.22881 | − | 27.3604i | −0.0610601 | − | 1.35955i | ||||
\(406\) | 6.14501 | 0.304972 | ||||||||
\(407\) | 6.25756 | + | 10.8384i | 0.310176 | + | 0.537240i | ||||
\(408\) | 0.00114112 | + | 0.00797515i | 5.64940e−5 | + | 0.000394829i | ||||
\(409\) | −4.55938 | − | 2.63236i | −0.225447 | − | 0.130162i | 0.383023 | − | 0.923739i | \(-0.374883\pi\) |
−0.608470 | + | 0.793577i | \(0.708216\pi\) | |||||||
\(410\) | 33.8208 | − | 58.5794i | 1.67029 | − | 2.89303i | ||||
\(411\) | 19.6970 | + | 25.0819i | 0.971584 | + | 1.23720i | ||||
\(412\) | −13.5989 | − | 23.5540i | −0.669970 | − | 1.16042i | ||||
\(413\) | 62.2284 | 3.06206 | ||||||||
\(414\) | −2.15108 | − | 7.36289i | −0.105720 | − | 0.361866i | ||||
\(415\) | 18.3649i | 0.901497i | ||||||||
\(416\) | −44.7399 | + | 25.8306i | −2.19355 | + | 1.26645i | ||||
\(417\) | 22.7934 | + | 9.14309i | 1.11620 | + | 0.447739i | ||||
\(418\) | −2.76971 | + | 4.79728i | −0.135471 | + | 0.234642i | ||||
\(419\) | −17.8839 | − | 10.3253i | −0.873687 | − | 0.504424i | −0.00511559 | − | 0.999987i | \(-0.501628\pi\) |
−0.868572 | + | 0.495563i | \(0.834962\pi\) | |||||||
\(420\) | −43.6345 | − | 17.5030i | −2.12915 | − | 0.854060i | ||||
\(421\) | −16.1452 | − | 27.9644i | −0.786871 | − | 1.36290i | −0.927875 | − | 0.372892i | \(-0.878366\pi\) |
0.141003 | − | 0.990009i | \(-0.454967\pi\) | |||||||
\(422\) | −6.53039 | −0.317894 | ||||||||
\(423\) | −12.1693 | + | 12.7281i | −0.591691 | + | 0.618861i | ||||
\(424\) | −0.00432292 | −0.000209939 | ||||||||
\(425\) | −3.97458 | + | 2.29472i | −0.192795 | + | 0.111310i | ||||
\(426\) | −4.99732 | + | 3.92444i | −0.242121 | + | 0.190140i | ||||
\(427\) | 17.1295 | − | 29.6691i | 0.828954 | − | 1.43579i | ||||
\(428\) | 14.6057 | + | 8.43258i | 0.705991 | + | 0.407604i | ||||
\(429\) | −2.24647 | − | 15.7003i | −0.108461 | − | 0.758016i | ||||
\(430\) | 0.676503 | − | 0.390579i | 0.0326239 | − | 0.0188354i | ||||
\(431\) | 7.87009i | 0.379089i | 0.981872 | + | 0.189544i | \(0.0607011\pi\) | ||||
−0.981872 | + | 0.189544i | \(0.939299\pi\) | |||||||
\(432\) | 16.8878 | + | 12.0777i | 0.812513 | + | 0.581088i | ||||
\(433\) | − | 15.1993i | − | 0.730430i | −0.930923 | − | 0.365215i | \(-0.880996\pi\) | ||
0.930923 | − | 0.365215i | \(-0.119004\pi\) | |||||||
\(434\) | 15.8903 | + | 27.5229i | 0.762760 | + | 1.32114i | ||||
\(435\) | 0.514749 | + | 3.59751i | 0.0246803 | + | 0.172488i | ||||
\(436\) | 30.0850 | + | 17.3696i | 1.44081 | + | 0.831853i | ||||
\(437\) | 2.16084 | + | 1.24756i | 0.103367 | + | 0.0596791i | ||||
\(438\) | −28.8330 | − | 36.7154i | −1.37769 | − | 1.75433i | ||||
\(439\) | −10.8533 | − | 18.7985i | −0.518000 | − | 0.897202i | −0.999781 | − | 0.0209105i | \(-0.993344\pi\) |
0.481782 | − | 0.876291i | \(-0.339990\pi\) | |||||||
\(440\) | 0.0186376 | 0.000888513 | ||||||||
\(441\) | 9.13752 | − | 37.4432i | 0.435120 | − | 1.78301i | ||||
\(442\) | 13.9124 | 0.661745 | ||||||||
\(443\) | −15.9979 | − | 27.7091i | −0.760082 | − | 1.31650i | −0.942808 | − | 0.333336i | \(-0.891825\pi\) |
0.182726 | − | 0.983164i | \(-0.441508\pi\) | |||||||
\(444\) | 11.3917 | − | 28.3992i | 0.540628 | − | 1.34777i | ||||
\(445\) | 14.1313 | + | 8.15869i | 0.669887 | + | 0.386759i | ||||
\(446\) | 14.9281 | − | 25.8562i | 0.706866 | − | 1.22433i | ||||
\(447\) | 26.1418 | + | 10.4862i | 1.23646 | + | 0.495981i | ||||
\(448\) | 30.9320 | − | 17.8586i | 1.46140 | − | 0.843739i | ||||
\(449\) | − | 23.6044i | − | 1.11396i | −0.830525 | − | 0.556981i | \(-0.811960\pi\) | ||
0.830525 | − | 0.556981i | \(-0.188040\pi\) | |||||||
\(450\) | 6.06214 | − | 24.8411i | 0.285772 | − | 1.17102i | ||||
\(451\) | −15.7594 | −0.742080 | ||||||||
\(452\) | 0.0299743 | + | 0.0519170i | 0.00140987 | + | 0.00244197i | ||||
\(453\) | −10.2194 | − | 13.0132i | −0.480148 | − | 0.611412i | ||||
\(454\) | 28.1476 | + | 16.2510i | 1.32103 | + | 0.762698i | ||||
\(455\) | −43.7620 | + | 75.7980i | −2.05159 | + | 3.55346i | ||||
\(456\) | 0.0144534 | − | 0.00206806i | 0.000676842 | − | 9.68458e-5i | ||||
\(457\) | 12.9803 | + | 22.4826i | 0.607194 | + | 1.05169i | 0.991701 | + | 0.128569i | \(0.0410383\pi\) |
−0.384506 | + | 0.923122i | \(0.625628\pi\) | |||||||
\(458\) | − | 10.7174i | − | 0.500793i | ||||||
\(459\) | −2.31482 | − | 5.09621i | −0.108046 | − | 0.237871i | ||||
\(460\) | − | 7.78721i | − | 0.363080i | ||||||
\(461\) | 23.3286 | − | 13.4688i | 1.08652 | − | 0.627304i | 0.153873 | − | 0.988091i | \(-0.450825\pi\) |
0.932648 | + | 0.360787i | \(0.117492\pi\) | |||||||
\(462\) | 3.10128 | + | 21.6744i | 0.144285 | + | 1.00839i | ||||
\(463\) | 12.7082 | + | 7.33706i | 0.590598 | + | 0.340982i | 0.765334 | − | 0.643633i | \(-0.222574\pi\) |
−0.174736 | + | 0.984615i | \(0.555907\pi\) | |||||||
\(464\) | −2.38586 | − | 1.37748i | −0.110761 | − | 0.0639479i | ||||
\(465\) | −14.7818 | + | 11.6083i | −0.685489 | + | 0.538321i | ||||
\(466\) | −9.85793 | − | 17.0744i | −0.456660 | − | 0.790958i | ||||
\(467\) | − | 2.73903i | − | 0.126747i | −0.997990 | − | 0.0633737i | \(-0.979814\pi\) | ||
0.997990 | − | 0.0633737i | \(-0.0201860\pi\) | |||||||
\(468\) | −26.7975 | + | 28.0281i | −1.23872 | + | 1.29560i | ||||
\(469\) | 13.1585 | − | 34.0092i | 0.607602 | − | 1.57040i | ||||
\(470\) | −30.9473 | + | 17.8674i | −1.42749 | + | 0.824162i | ||||
\(471\) | −5.17404 | + | 12.8987i | −0.238407 | + | 0.594342i | ||||
\(472\) | 0.0522337 | + | 0.0301571i | 0.00240425 | + | 0.00138809i | ||||
\(473\) | −0.157614 | − | 0.0909984i | −0.00724709 | − | 0.00418411i | ||||
\(474\) | 39.0351 | + | 15.6581i | 1.79294 | + | 0.719199i | ||||
\(475\) | 4.15873 | + | 7.20314i | 0.190816 | + | 0.330503i | ||||
\(476\) | −9.60829 | −0.440395 | ||||||||
\(477\) | 2.88290 | − | 0.842243i | 0.131999 | − | 0.0385636i | ||||
\(478\) | 3.28390 | 0.150202 | ||||||||
\(479\) | −14.1350 | + | 8.16087i | −0.645847 | + | 0.372880i | −0.786863 | − | 0.617127i | \(-0.788296\pi\) |
0.141016 | + | 0.990007i | \(0.454963\pi\) | |||||||
\(480\) | 26.0501 | + | 33.1718i | 1.18902 | + | 1.51408i | ||||
\(481\) | −49.3326 | − | 28.4822i | −2.24937 | − | 1.29868i | ||||
\(482\) | 12.4570 | − | 21.5762i | 0.567403 | − | 0.982771i | ||||
\(483\) | 9.76285 | − | 1.39691i | 0.444225 | − | 0.0635618i | ||||
\(484\) | 8.99793 | + | 15.5849i | 0.408997 | + | 0.708403i | ||||
\(485\) | 16.7345i | 0.759877i | ||||||||
\(486\) | 29.4353 | + | 10.2998i | 1.33521 | + | 0.467208i | ||||
\(487\) | 33.4265i | 1.51470i | 0.653009 | + | 0.757350i | \(0.273506\pi\) | ||||
−0.653009 | + | 0.757350i | \(0.726494\pi\) | |||||||
\(488\) | 0.0287565 | − | 0.0166026i | 0.00130175 | − | 0.000751563i | ||||
\(489\) | 21.5202 | − | 3.07921i | 0.973175 | − | 0.139247i | ||||
\(490\) | 39.1064 | − | 67.7343i | 1.76665 | − | 3.05993i | ||||
\(491\) | 22.3135 | + | 12.8827i | 1.00699 | + | 0.581387i | 0.910310 | − | 0.413928i | \(-0.135843\pi\) |
0.0966827 | + | 0.995315i | \(0.469177\pi\) | |||||||
\(492\) | 23.7976 | + | 30.3035i | 1.07288 | + | 1.36619i | ||||
\(493\) | 0.371357 | + | 0.643208i | 0.0167251 | + | 0.0289687i | ||||
\(494\) | − | 25.2135i | − | 1.13441i | ||||||
\(495\) | −12.4292 | + | 3.63120i | −0.558651 | + | 0.163210i | ||||
\(496\) | − | 14.2480i | − | 0.639756i | ||||||
\(497\) | −4.08476 | − | 7.07502i | −0.183227 | − | 0.317358i | ||||
\(498\) | −19.4080 | − | 7.78508i | −0.869692 | − | 0.348858i | ||||
\(499\) | −22.1064 | − | 12.7632i | −0.989620 | − | 0.571357i | −0.0844590 | − | 0.996427i | \(-0.526916\pi\) |
−0.905161 | + | 0.425070i | \(0.860250\pi\) | |||||||
\(500\) | −2.25272 | + | 3.90183i | −0.100745 | + | 0.174495i | ||||
\(501\) | 11.9236 | + | 4.78291i | 0.532709 | + | 0.213685i | ||||
\(502\) | −15.7214 | − | 27.2302i | −0.701679 | − | 1.21534i | ||||
\(503\) | 34.9464 | 1.55818 | 0.779091 | − | 0.626911i | \(-0.215681\pi\) | ||||
0.779091 | + | 0.626911i | \(0.215681\pi\) | |||||||
\(504\) | 0.0398815 | − | 0.0417129i | 0.00177647 | − | 0.00185804i | ||||
\(505\) | 41.0735 | 1.82774 | ||||||||
\(506\) | −3.14074 | + | 1.81331i | −0.139623 | + | 0.0806115i | ||||
\(507\) | 30.6794 | + | 39.0666i | 1.36252 | + | 1.73501i | ||||
\(508\) | −12.7405 | + | 22.0672i | −0.565268 | + | 0.979073i | ||||
\(509\) | −29.2079 | − | 16.8632i | −1.29462 | − | 0.747447i | −0.315147 | − | 0.949043i | \(-0.602054\pi\) |
−0.979469 | + | 0.201596i | \(0.935387\pi\) | |||||||
\(510\) | −1.60885 | − | 11.2440i | −0.0712410 | − | 0.497893i | ||||
\(511\) | 51.9803 | − | 30.0109i | 2.29947 | − | 1.32760i | ||||
\(512\) | −32.0085 | −1.41459 | ||||||||
\(513\) | −9.23588 | + | 4.19515i | −0.407774 | + | 0.185220i | ||||
\(514\) | − | 29.4928i | − | 1.30087i | ||||||
\(515\) | 20.6692 | + | 35.8001i | 0.910793 | + | 1.57754i | ||||
\(516\) | 0.0630269 | + | 0.440486i | 0.00277461 | + | 0.0193913i | ||||
\(517\) | 7.21019 | + | 4.16281i | 0.317104 | + | 0.183080i | ||||
\(518\) | 68.1043 | + | 39.3200i | 2.99233 | + | 1.72762i | ||||
\(519\) | 27.7098 | − | 21.7608i | 1.21632 | − | 0.955191i | ||||
\(520\) | −0.0734664 | + | 0.0424159i | −0.00322172 | + | 0.00186006i | ||||
\(521\) | −19.8296 | −0.868749 | −0.434375 | − | 0.900732i | \(-0.643031\pi\) | ||||
−0.434375 | + | 0.900732i | \(0.643031\pi\) | |||||||
\(522\) | −4.02005 | − | 0.981040i | −0.175953 | − | 0.0429390i | ||||
\(523\) | −8.57905 | −0.375135 | −0.187568 | − | 0.982252i | \(-0.560060\pi\) | ||||
−0.187568 | + | 0.982252i | \(0.560060\pi\) | |||||||
\(524\) | 11.5403 | − | 6.66278i | 0.504139 | − | 0.291065i | ||||
\(525\) | 30.5125 | + | 12.2394i | 1.33167 | + | 0.534172i | ||||
\(526\) | −42.9411 | − | 24.7921i | −1.87232 | − | 1.08099i | ||||
\(527\) | −1.92057 | + | 3.32653i | −0.0836616 | + | 0.144906i | ||||
\(528\) | 3.65448 | − | 9.11051i | 0.159041 | − | 0.396484i | ||||
\(529\) | −10.6832 | − | 18.5039i | −0.464488 | − | 0.804517i | ||||
\(530\) | 6.09480 | 0.264741 | ||||||||
\(531\) | −40.7096 | − | 9.93465i | −1.76665 | − | 0.431127i | ||||
\(532\) | 17.4131i | 0.754955i | ||||||||
\(533\) | 62.1209 | − | 35.8655i | 2.69076 | − | 1.55351i | ||||
\(534\) | −14.6125 | + | 11.4753i | −0.632344 | + | 0.496586i | ||||
\(535\) | −22.1994 | − | 12.8168i | −0.959762 | − | 0.554119i | ||||
\(536\) | 0.0275266 | − | 0.0221700i | 0.00118897 | − | 0.000957598i | ||||
\(537\) | 15.5653 | − | 2.22715i | 0.671690 | − | 0.0961087i | ||||
\(538\) | −3.72229 | + | 2.14907i | −0.160479 | + | 0.0926529i | ||||
\(539\) | −18.2223 | −0.784889 | ||||||||
\(540\) | 25.7512 | + | 18.4166i | 1.10816 | + | 0.792524i | ||||
\(541\) | 30.8529i | 1.32647i | 0.748412 | + | 0.663234i | \(0.230817\pi\) | ||||
−0.748412 | + | 0.663234i | \(0.769183\pi\) | |||||||
\(542\) | 22.2150 | − | 12.8258i | 0.954215 | − | 0.550916i | ||||
\(543\) | −3.56887 | + | 0.510651i | −0.153155 | + | 0.0219141i | ||||
\(544\) | 7.46507 | + | 4.30996i | 0.320062 | + | 0.184788i | ||||
\(545\) | −45.7267 | − | 26.4003i | −1.95872 | − | 1.13087i | ||||
\(546\) | −61.5519 | − | 78.3791i | −2.63418 | − | 3.35432i | ||||
\(547\) | −0.169548 | + | 0.0978885i | −0.00724935 | + | 0.00418541i | −0.503620 | − | 0.863925i | \(-0.667999\pi\) |
0.496371 | + | 0.868111i | \(0.334666\pi\) | |||||||
\(548\) | −36.8650 | −1.57479 | ||||||||
\(549\) | −15.9427 | + | 16.6748i | −0.680417 | + | 0.711662i | ||||
\(550\) | −12.0893 | −0.515488 | ||||||||
\(551\) | 1.16569 | − | 0.673011i | 0.0496600 | − | 0.0286712i | ||||
\(552\) | 0.00887177 | + | 0.00355872i | 0.000377608 | + | 0.000151469i | ||||
\(553\) | −27.0375 | + | 46.8303i | −1.14975 | + | 1.99143i | ||||
\(554\) | −12.2956 | + | 21.2966i | −0.522390 | + | 0.904807i | ||||
\(555\) | −17.3145 | + | 43.1644i | −0.734958 | + | 1.83223i | ||||
\(556\) | −24.5853 | + | 14.1944i | −1.04265 | + | 0.601975i | ||||
\(557\) | − | 2.68145i | − | 0.113617i | −0.998385 | − | 0.0568083i | \(-0.981908\pi\) | ||
0.998385 | − | 0.0568083i | \(-0.0180924\pi\) | |||||||
\(558\) | −6.00143 | − | 20.5422i | −0.254061 | − | 0.869622i | ||||
\(559\) | 0.828385 | 0.0350369 | ||||||||
\(560\) | −46.9127 | + | 27.0850i | −1.98242 | + | 1.14455i | ||||
\(561\) | −2.08128 | + | 1.63445i | −0.0878717 | + | 0.0690065i | ||||
\(562\) | 24.1711 | − | 41.8656i | 1.01960 | − | 1.76599i | ||||
\(563\) | 14.2030 | − | 24.6003i | 0.598586 | − | 1.03678i | −0.394445 | − | 0.918920i | \(-0.629063\pi\) |
0.993030 | − | 0.117861i | \(-0.0376037\pi\) | |||||||
\(564\) | −2.88322 | − | 20.1505i | −0.121406 | − | 0.848487i | ||||
\(565\) | −0.0455584 | − | 0.0789095i | −0.00191666 | − | 0.00331975i | ||||
\(566\) | −3.11211 | −0.130812 | ||||||||
\(567\) | −18.4695 | + | 35.5881i | −0.775648 | + | 1.49456i | ||||
\(568\) | − | 0.00791823i | − | 0.000332242i | ||||||
\(569\) | −7.43451 | + | 4.29232i | −0.311671 | + | 0.179943i | −0.647674 | − | 0.761918i | \(-0.724258\pi\) |
0.336003 | + | 0.941861i | \(0.390925\pi\) | |||||||
\(570\) | −20.3776 | + | 2.91572i | −0.853522 | + | 0.122126i | ||||
\(571\) | −8.98415 | + | 15.5610i | −0.375975 | + | 0.651208i | −0.990472 | − | 0.137711i | \(-0.956025\pi\) |
0.614498 | + | 0.788919i | \(0.289359\pi\) | |||||||
\(572\) | 15.8773 | + | 9.16676i | 0.663863 | + | 0.383281i | ||||
\(573\) | 20.4308 | + | 26.0163i | 0.853510 | + | 1.08684i | ||||
\(574\) | −85.7587 | + | 49.5128i | −3.57950 | + | 2.06663i | ||||
\(575\) | 5.44539i | 0.227088i | ||||||||
\(576\) | −23.0867 | + | 6.74480i | −0.961946 | + | 0.281033i | ||||
\(577\) | − | 2.89933i | − | 0.120701i | −0.998177 | − | 0.0603503i | \(-0.980778\pi\) | ||
0.998177 | − | 0.0603503i | \(-0.0192218\pi\) | |||||||
\(578\) | 15.8439 | + | 27.4425i | 0.659020 | + | 1.14146i | ||||
\(579\) | 3.65352 | − | 9.10811i | 0.151835 | − | 0.378520i | ||||
\(580\) | −3.63807 | − | 2.10044i | −0.151063 | − | 0.0872162i | ||||
\(581\) | 13.4429 | − | 23.2837i | 0.557704 | − | 0.965971i | ||||
\(582\) | −17.6850 | − | 7.09396i | −0.733068 | − | 0.294054i | ||||
\(583\) | −0.709992 | − | 1.22974i | −0.0294049 | − | 0.0509307i | ||||
\(584\) | 0.0581755 | 0.00240732 | ||||||||
\(585\) | 40.7300 | − | 42.6003i | 1.68398 | − | 1.76130i | ||||
\(586\) | 27.7670i | 1.14705i | ||||||||
\(587\) | −7.55256 | − | 13.0814i | −0.311727 | − | 0.539928i | 0.667009 | − | 0.745050i | \(-0.267574\pi\) |
−0.978736 | + | 0.205122i | \(0.934241\pi\) | |||||||
\(588\) | 27.5167 | + | 35.0394i | 1.13477 | + | 1.44500i | ||||
\(589\) | 6.02869 | + | 3.48067i | 0.248408 | + | 0.143418i | ||||
\(590\) | −73.6433 | − | 42.5180i | −3.03184 | − | 1.75044i | ||||
\(591\) | −6.63297 | + | 0.949077i | −0.272844 | + | 0.0390398i | ||||
\(592\) | −17.6281 | − | 30.5328i | −0.724512 | − | 1.25489i | ||||
\(593\) | 15.4267 | 0.633497 | 0.316748 | − | 0.948510i | \(-0.397409\pi\) | ||||
0.316748 | + | 0.948510i | \(0.397409\pi\) | |||||||
\(594\) | 1.43143 | − | 14.6745i | 0.0587324 | − | 0.602100i | ||||
\(595\) | 14.6038 | 0.598697 | ||||||||
\(596\) | −28.1969 | + | 16.2795i | −1.15499 | + | 0.666835i | ||||
\(597\) | 19.7521 | − | 2.82623i | 0.808401 | − | 0.115670i | ||||
\(598\) | 8.25354 | − | 14.2956i | 0.337512 | − | 0.584589i | ||||
\(599\) | −6.99503 | + | 12.1158i | −0.285809 | + | 0.495036i | −0.972805 | − | 0.231625i | \(-0.925596\pi\) |
0.686996 | + | 0.726661i | \(0.258929\pi\) | |||||||
\(600\) | 0.0196803 | + | 0.0250605i | 0.000803444 | + | 0.00102309i | ||||
\(601\) | 6.13449 | + | 10.6252i | 0.250231 | + | 0.433413i | 0.963589 | − | 0.267387i | \(-0.0861601\pi\) |
−0.713358 | + | 0.700799i | \(0.752827\pi\) | |||||||
\(602\) | −1.14360 | −0.0466095 | ||||||||
\(603\) | −14.0377 | + | 20.1480i | −0.571661 | + | 0.820490i | ||||
\(604\) | 19.1266 | 0.778249 | ||||||||
\(605\) | −13.6761 | − | 23.6877i | −0.556012 | − | 0.963041i | ||||
\(606\) | −17.4115 | + | 43.4063i | −0.707294 | + | 1.76326i | ||||
\(607\) | −18.1306 | + | 31.4031i | −0.735897 | + | 1.27461i | 0.218432 | + | 0.975852i | \(0.429906\pi\) |
−0.954329 | + | 0.298759i | \(0.903427\pi\) | |||||||
\(608\) | 7.81096 | − | 13.5290i | 0.316776 | − | 0.548672i | ||||
\(609\) | 1.98071 | − | 4.93785i | 0.0802625 | − | 0.200092i | ||||
\(610\) | −40.5433 | + | 23.4077i | −1.64155 | + | 0.947748i | ||||
\(611\) | −37.8952 | −1.53308 | ||||||||
\(612\) | 6.28572 | + | 1.53395i | 0.254085 | + | 0.0620061i | ||||
\(613\) | −27.0814 | −1.09381 | −0.546903 | − | 0.837196i | \(-0.684193\pi\) | ||||
−0.546903 | + | 0.837196i | \(0.684193\pi\) | |||||||
\(614\) | −9.56910 | − | 16.5742i | −0.386177 | − | 0.668879i | ||||
\(615\) | −36.1703 | − | 46.0587i | −1.45853 | − | 1.85727i | ||||
\(616\) | −0.0236295 | − | 0.0136425i | −0.000952058 | − | 0.000549671i | ||||
\(617\) | 8.47610 | + | 4.89368i | 0.341235 | + | 0.197012i | 0.660818 | − | 0.750546i | \(-0.270210\pi\) |
−0.319583 | + | 0.947558i | \(0.603543\pi\) | |||||||
\(618\) | −46.5953 | + | 6.66708i | −1.87434 | + | 0.268189i | ||||
\(619\) | −10.9682 | − | 18.9974i | −0.440848 | − | 0.763571i | 0.556904 | − | 0.830577i | \(-0.311989\pi\) |
−0.997753 | + | 0.0670051i | \(0.978656\pi\) | |||||||
\(620\) | − | 21.7261i | − | 0.872540i | ||||||
\(621\) | −6.60984 | − | 0.644763i | −0.265244 | − | 0.0258735i | ||||
\(622\) | 31.1339 | 1.24836 | ||||||||
\(623\) | −11.9441 | − | 20.6878i | −0.478531 | − | 0.828840i | ||||
\(624\) | 6.32851 | + | 44.2291i | 0.253343 | + | 1.77058i | ||||
\(625\) | 14.0753 | − | 24.3791i | 0.563011 | − | 0.975163i | ||||
\(626\) | −28.3516 | − | 16.3688i | −1.13316 | − | 0.654229i | ||||
\(627\) | 2.96212 | + | 3.77191i | 0.118296 | + | 0.150636i | ||||
\(628\) | −8.03253 | − | 13.9128i | −0.320533 | − | 0.555179i | ||||
\(629\) | 9.50478i | 0.378981i | ||||||||
\(630\) | −56.2282 | + | 58.8102i | −2.24019 | + | 2.34306i | ||||
\(631\) | 26.0386i | 1.03658i | 0.855204 | + | 0.518291i | \(0.173432\pi\) | ||||
−0.855204 | + | 0.518291i | \(0.826568\pi\) | |||||||
\(632\) | −0.0453898 | + | 0.0262058i | −0.00180551 | + | 0.00104241i | ||||
\(633\) | −2.10493 | + | 5.24752i | −0.0836634 | + | 0.208570i | ||||
\(634\) | 16.2729 | + | 9.39514i | 0.646278 | + | 0.373129i | ||||
\(635\) | 19.3645 | − | 33.5403i | 0.768456 | − | 1.33100i | ||||
\(636\) | −1.29252 | + | 3.22222i | −0.0512519 | + | 0.127769i | ||||
\(637\) | 71.8293 | − | 41.4707i | 2.84598 | − | 1.64313i | ||||
\(638\) | 1.95642i | 0.0774552i | ||||||||
\(639\) | 1.54273 | + | 5.28058i | 0.0610293 | + | 0.208896i | ||||
\(640\) | −0.105121 | −0.00415528 | ||||||||
\(641\) | 2.76953 | + | 4.79696i | 0.109390 | + | 0.189469i | 0.915523 | − | 0.402265i | \(-0.131777\pi\) |
−0.806133 | + | 0.591734i | \(0.798444\pi\) | |||||||
\(642\) | 22.9553 | − | 18.0270i | 0.905975 | − | 0.711471i | ||||
\(643\) | 8.11858 | − | 14.0618i | 0.320165 | − | 0.554543i | −0.660357 | − | 0.750952i | \(-0.729595\pi\) |
0.980522 | + | 0.196409i | \(0.0629282\pi\) | |||||||
\(644\) | −5.70013 | + | 9.87292i | −0.224617 | + | 0.389048i | ||||
\(645\) | −0.0957956 | − | 0.669502i | −0.00377195 | − | 0.0263616i | ||||
\(646\) | −3.64336 | + | 2.10349i | −0.143346 | + | 0.0827608i | ||||
\(647\) | −3.62209 | −0.142399 | −0.0711995 | − | 0.997462i | \(-0.522683\pi\) | ||||
−0.0711995 | + | 0.997462i | \(0.522683\pi\) | |||||||
\(648\) | −0.0327498 | + | 0.0209214i | −0.00128653 | + | 0.000821872i | ||||
\(649\) | 19.8119i | 0.777686i | ||||||||
\(650\) | 47.6540 | − | 27.5130i | 1.86914 | − | 1.07915i | ||||
\(651\) | 27.2380 | − | 3.89735i | 1.06754 | − | 0.152749i | ||||
\(652\) | −12.5648 | + | 21.7628i | −0.492074 | + | 0.852297i | ||||
\(653\) | −15.0703 | + | 26.1026i | −0.589748 | + | 1.02147i | 0.404518 | + | 0.914530i | \(0.367439\pi\) |
−0.994265 | + | 0.106943i | \(0.965894\pi\) | |||||||
\(654\) | 47.2839 | − | 37.1325i | 1.84894 | − | 1.45199i | ||||
\(655\) | −17.5402 | + | 10.1269i | −0.685353 | + | 0.395689i | ||||
\(656\) | 44.3956 | 1.73336 | ||||||||
\(657\) | −38.7966 | + | 11.3344i | −1.51360 | + | 0.442199i | ||||
\(658\) | 52.3149 | 2.03945 | ||||||||
\(659\) | 38.4792 | − | 22.2160i | 1.49894 | − | 0.865411i | 0.498936 | − | 0.866639i | \(-0.333724\pi\) |
0.999999 | + | 0.00122804i | \(0.000390896\pi\) | |||||||
\(660\) | 5.57252 | − | 13.8921i | 0.216910 | − | 0.540750i | ||||
\(661\) | 38.9444 | + | 22.4845i | 1.51476 | + | 0.874548i | 0.999850 | + | 0.0173036i | \(0.00550818\pi\) |
0.514910 | + | 0.857244i | \(0.327825\pi\) | |||||||
\(662\) | 46.7525 | + | 26.9926i | 1.81709 | + | 1.04910i | ||||
\(663\) | 4.48436 | − | 11.1794i | 0.174158 | − | 0.434170i | ||||
\(664\) | 0.0225675 | − | 0.0130294i | 0.000875789 | − | 0.000505637i | ||||
\(665\) | − | 26.4665i | − | 1.02633i | ||||||
\(666\) | −38.2763 | − | 36.5958i | −1.48318 | − | 1.41806i | ||||
\(667\) | 0.881232 | 0.0341214 | ||||||||
\(668\) | −12.8610 | + | 7.42532i | −0.497608 | + | 0.287294i | ||||
\(669\) | −15.9651 | − | 20.3297i | −0.617248 | − | 0.785993i | ||||
\(670\) | −38.8092 | + | 31.2571i | −1.49933 | + | 1.20757i | ||||
\(671\) | 9.44589 | + | 5.45359i | 0.364655 | + | 0.210533i | ||||
\(672\) | −8.74603 | − | 61.1248i | −0.337386 | − | 2.35794i | ||||
\(673\) | 16.8311 | − | 9.71745i | 0.648792 | − | 0.374580i | −0.139201 | − | 0.990264i | \(-0.544453\pi\) |
0.787993 | + | 0.615684i | \(0.211120\pi\) | |||||||
\(674\) | 19.6481i | 0.756818i | ||||||||
\(675\) | −18.0072 | − | 12.8782i | −0.693096 | − | 0.495684i | ||||
\(676\) | −57.4196 | −2.20845 | ||||||||
\(677\) | −9.75564 | − | 16.8973i | −0.374940 | − | 0.649415i | 0.615378 | − | 0.788232i | \(-0.289003\pi\) |
−0.990318 | + | 0.138817i | \(0.955670\pi\) | |||||||
\(678\) | 0.102704 | − | 0.0146954i | 0.00394433 | − | 0.000564373i | ||||
\(679\) | 12.2495 | − | 21.2167i | 0.470091 | − | 0.814222i | ||||
\(680\) | 0.0122582 | + | 0.00707729i | 0.000470082 | + | 0.000271402i | ||||
\(681\) | 22.1313 | − | 17.3799i | 0.848075 | − | 0.666001i | ||||
\(682\) | −8.76258 | + | 5.05908i | −0.335536 | + | 0.193722i | ||||
\(683\) | −0.404654 | −0.0154836 | −0.00774182 | − | 0.999970i | \(-0.502464\pi\) | ||||
−0.00774182 | + | 0.999970i | \(0.502464\pi\) | |||||||
\(684\) | 2.77998 | − | 11.3916i | 0.106295 | − | 0.435570i | ||||
\(685\) | 56.0317 | 2.14086 | ||||||||
\(686\) | −45.1323 | + | 26.0571i | −1.72316 | + | 0.994866i | ||||
\(687\) | −8.61205 | − | 3.45453i | −0.328570 | − | 0.131799i | ||||
\(688\) | 0.444013 | + | 0.256351i | 0.0169278 | + | 0.00977329i | ||||
\(689\) | 5.59735 | + | 3.23163i | 0.213242 | + | 0.123115i | ||||
\(690\) | −12.5081 | − | 5.01737i | −0.476177 | − | 0.191008i | ||||
\(691\) | 18.9809 | + | 32.8759i | 0.722068 | + | 1.25066i | 0.960170 | + | 0.279418i | \(0.0901414\pi\) |
−0.238102 | + | 0.971240i | \(0.576525\pi\) | |||||||
\(692\) | 40.7274i | 1.54823i | ||||||||
\(693\) | 18.4162 | + | 4.49423i | 0.699574 | + | 0.170722i | ||||
\(694\) | −39.8513 | −1.51273 | ||||||||
\(695\) | 37.3676 | − | 21.5742i | 1.41744 | − | 0.818357i | ||||
\(696\) | 0.00405557 | − | 0.00318488i | 0.000153726 | − | 0.000120722i | ||||
\(697\) | −10.3652 | − | 5.98434i | −0.392609 | − | 0.226673i | ||||
\(698\) | −34.6642 | + | 60.0402i | −1.31206 | + | 2.27256i | ||||
\(699\) | −16.8977 | + | 2.41781i | −0.639131 | + | 0.0914499i | ||||
\(700\) | −32.9112 | + | 19.0013i | −1.24393 | + | 0.718181i | ||||
\(701\) | 8.91612 | 0.336757 | 0.168379 | − | 0.985722i | \(-0.446147\pi\) | ||||
0.168379 | + | 0.985722i | \(0.446147\pi\) | |||||||
\(702\) | 27.7540 | + | 61.1020i | 1.04751 | + | 2.30615i | ||||
\(703\) | 17.2256 | 0.649674 | ||||||||
\(704\) | 5.68572 | + | 9.84795i | 0.214289 | + | 0.371159i | ||||
\(705\) | 4.38226 | + | 30.6270i | 0.165045 | + | 1.15348i | ||||
\(706\) | −28.3365 | + | 49.0803i | −1.06646 | + | 1.84716i | ||||
\(707\) | −52.0745 | − | 30.0652i | −1.95846 | − | 1.13072i | ||||
\(708\) | 38.0961 | − | 29.9172i | 1.43174 | − | 1.12436i | ||||
\(709\) | −16.3177 | − | 28.2630i | −0.612822 | − | 1.06144i | −0.990762 | − | 0.135609i | \(-0.956701\pi\) |
0.377940 | − | 0.925830i | \(-0.376633\pi\) | |||||||
\(710\) | 11.1638i | 0.418969i | ||||||||
\(711\) | 25.1642 | − | 26.3198i | 0.943732 | − | 0.987069i | ||||
\(712\) | − | 0.0231534i | − | 0.000867711i | ||||||
\(713\) | 2.27877 | + | 3.94694i | 0.0853405 | + | 0.147814i | ||||
\(714\) | −6.19071 | + | 15.4332i | −0.231682 | + | 0.577575i | ||||
\(715\) | −24.1321 | − | 13.9327i | −0.902491 | − | 0.521053i | ||||
\(716\) | −9.08793 | + | 15.7408i | −0.339632 | + | 0.588260i | ||||
\(717\) | 1.05849 | − | 2.63879i | 0.0395302 | − | 0.0985474i | ||||
\(718\) | −13.3538 | + | 7.70983i | −0.498360 | + | 0.287728i | ||||
\(719\) | 36.9933i | 1.37962i | 0.723991 | + | 0.689809i | \(0.242306\pi\) | ||||
−0.723991 | + | 0.689809i | \(0.757694\pi\) | |||||||
\(720\) | 35.0142 | − | 10.2294i | 1.30490 | − | 0.381228i | ||||
\(721\) | − | 60.5183i | − | 2.25382i | ||||||
\(722\) | −15.1930 | − | 26.3150i | −0.565423 | − | 0.979342i | ||||
\(723\) | −13.3224 | − | 16.9646i | −0.495466 | − | 0.630918i | ||||
\(724\) | 2.08372 | − | 3.60911i | 0.0774409 | − | 0.134132i | ||||
\(725\) | 2.54401 | + | 1.46878i | 0.0944821 | + | 0.0545493i | ||||
\(726\) | 30.8305 | − | 4.41138i | 1.14423 | − | 0.163722i | ||||
\(727\) | 25.8340 | − | 14.9153i | 0.958131 | − | 0.553177i | 0.0625337 | − | 0.998043i | \(-0.480082\pi\) |
0.895597 | + | 0.444866i | \(0.146749\pi\) | |||||||
\(728\) | 0.124191 | 0.00460284 | ||||||||
\(729\) | 17.7643 | − | 20.3330i | 0.657937 | − | 0.753073i | ||||
\(730\) | −82.0205 | −3.03571 | ||||||||
\(731\) | −0.0691100 | − | 0.119702i | −0.00255613 | − | 0.00442734i | ||||
\(732\) | −3.77724 | − | 26.3986i | −0.139611 | − | 0.975721i | ||||
\(733\) | 0.981063 | + | 0.566417i | 0.0362364 | + | 0.0209211i | 0.518009 | − | 0.855375i | \(-0.326673\pi\) |
−0.481772 | + | 0.876296i | \(0.660007\pi\) | |||||||
\(734\) | −8.44969 | − | 4.87843i | −0.311884 | − | 0.180066i | ||||
\(735\) | −41.8231 | − | 53.2569i | −1.54267 | − | 1.96441i | ||||
\(736\) | 8.85733 | − | 5.11378i | 0.326485 | − | 0.188496i | ||||
\(737\) | 10.8277 | + | 4.18933i | 0.398842 | + | 0.154316i | ||||
\(738\) | 64.0077 | − | 18.6999i | 2.35616 | − | 0.688353i | ||||
\(739\) | − | 21.2626i | − | 0.782158i | −0.920357 | − | 0.391079i | \(-0.872102\pi\) | ||
0.920357 | − | 0.391079i | \(-0.127898\pi\) | |||||||
\(740\) | −26.8802 | − | 46.5578i | −0.988135 | − | 1.71150i | ||||
\(741\) | −20.2604 | − | 8.12701i | −0.744284 | − | 0.298553i | ||||
\(742\) | −7.72722 | − | 4.46131i | −0.283675 | − | 0.163780i | ||||
\(743\) | 26.2939 | + | 15.1808i | 0.964630 | + | 0.556929i | 0.897595 | − | 0.440821i | \(-0.145313\pi\) |
0.0670350 | + | 0.997751i | \(0.478646\pi\) | |||||||
\(744\) | 0.0247520 | + | 0.00992872i | 0.000907451 | + | 0.000364004i | ||||
\(745\) | 42.8570 | − | 24.7435i | 1.57016 | − | 0.906531i | ||||
\(746\) | − | 29.3802i | − | 1.07569i | ||||||
\(747\) | −12.5115 | + | 13.0860i | −0.457771 | + | 0.478792i | ||||
\(748\) | − | 3.05903i | − | 0.111849i | ||||||
\(749\) | 18.7635 | + | 32.4993i | 0.685602 | + | 1.18750i | ||||
\(750\) | 4.81583 | + | 6.13240i | 0.175849 | + | 0.223924i | ||||
\(751\) | 10.9478 | − | 18.9622i | 0.399493 | − | 0.691941i | −0.594171 | − | 0.804339i | \(-0.702520\pi\) |
0.993663 | + | 0.112398i | \(0.0358530\pi\) | |||||||
\(752\) | −20.3118 | − | 11.7270i | −0.740694 | − | 0.427640i | ||||
\(753\) | −26.9484 | + | 3.85591i | −0.982054 | + | 0.140517i | ||||
\(754\) | −4.45245 | − | 7.71188i | −0.162149 | − | 0.280850i | ||||
\(755\) | −29.0708 | −1.05799 | ||||||||
\(756\) | −19.1677 | − | 42.1988i | −0.697122 | − | 1.53476i | ||||
\(757\) | 30.6585i | 1.11430i | 0.830412 | + | 0.557150i | \(0.188105\pi\) | ||||
−0.830412 | + | 0.557150i | \(0.811895\pi\) | |||||||
\(758\) | 7.38590 | − | 4.26425i | 0.268268 | − | 0.154885i | ||||
\(759\) | 0.444742 | + | 3.10824i | 0.0161431 | + | 0.112822i | ||||
\(760\) | 0.0128262 | − | 0.0222156i | 0.000465255 | − | 0.000805846i | ||||
\(761\) | 27.6179 | + | 15.9452i | 1.00115 | + | 0.578014i | 0.908588 | − | 0.417693i | \(-0.137161\pi\) |
0.0925614 | + | 0.995707i | \(0.470495\pi\) | |||||||
\(762\) | 27.2364 | + | 34.6824i | 0.986672 | + | 1.25641i | ||||
\(763\) | 38.6494 | + | 66.9427i | 1.39920 | + | 2.42349i | ||||
\(764\) | −38.2383 | −1.38341 | ||||||||
\(765\) | −9.55376 | − | 2.33147i | −0.345417 | − | 0.0842944i | ||||
\(766\) | 49.3772 | 1.78407 | ||||||||
\(767\) | −45.0884 | − | 78.0955i | −1.62805 | − | 2.81986i | ||||
\(768\) | −10.2950 | + | 25.6651i | −0.371488 | + | 0.926109i | ||||
\(769\) | 8.11141 | + | 4.68313i | 0.292505 | + | 0.168878i | 0.639071 | − | 0.769148i | \(-0.279319\pi\) |
−0.346566 | + | 0.938026i | \(0.612652\pi\) | |||||||
\(770\) | 33.3147 | + | 19.2343i | 1.20058 | + | 0.693155i | ||||
\(771\) | −23.6990 | − | 9.50635i | −0.853500 | − | 0.342363i | ||||
\(772\) | 5.67198 | + | 9.82415i | 0.204139 | + | 0.353579i | ||||
\(773\) | − | 39.7793i | − | 1.43076i | −0.698735 | − | 0.715380i | \(-0.746254\pi\) | ||
0.698735 | − | 0.715380i | \(-0.253746\pi\) | |||||||
\(774\) | 0.748137 | + | 0.182573i | 0.0268912 | + | 0.00656245i | ||||
\(775\) | 15.1925i | 0.545729i | ||||||||
\(776\) | 0.0205641 | − | 0.0118727i | 0.000738207 | − | 0.000426204i | ||||
\(777\) | 53.5478 | − | 42.0516i | 1.92101 | − | 1.50859i | ||||
\(778\) | 6.28390 | + | 3.62801i | 0.225289 | + | 0.130070i | ||||
\(779\) | −10.8454 | + | 18.7848i | −0.388578 | + | 0.673037i | ||||
\(780\) | 9.65000 | + | 67.4425i | 0.345526 | + | 2.41483i | ||||
\(781\) | 2.25250 | − | 1.30048i | 0.0806009 | − | 0.0465350i | ||||
\(782\) | −2.75429 | −0.0984931 | ||||||||
\(783\) | −2.08410 | + | 2.91411i | −0.0744795 | + | 0.104142i | ||||
\(784\) | 51.3338 | 1.83335 | ||||||||
\(785\) | 12.2088 | + | 21.1462i | 0.435750 | + | 0.754741i | ||||
\(786\) | −3.26653 | − | 22.8294i | −0.116513 | − | 0.814296i | ||||
\(787\) | −20.6055 | − | 11.8966i | −0.734507 | − | 0.424068i | 0.0855618 | − | 0.996333i | \(-0.472731\pi\) |
−0.820069 | + | 0.572265i | \(0.806065\pi\) | |||||||
\(788\) | 3.87272 | − | 6.70776i | 0.137960 | − | 0.238954i | ||||
\(789\) | −33.7629 | + | 26.5144i | −1.20199 | + | 0.943936i | ||||
\(790\) | 63.9943 | − | 36.9471i | 2.27681 | − | 1.31452i | ||||
\(791\) | 0.133393i | 0.00474290i | ||||||||
\(792\) | 0.0132803 | + | 0.0126973i | 0.000471896 | + | 0.000451178i | ||||
\(793\) | −49.6456 | −1.76297 | ||||||||
\(794\) | −0.304587 | − | 0.527560i | −0.0108094 | − | 0.0187224i | ||||
\(795\) | 1.96453 | − | 4.89750i | 0.0696746 | − | 0.173696i | ||||
\(796\) | −11.5325 | + | 19.9748i | −0.408758 | + | 0.707989i | ||||
\(797\) | 3.07547 | + | 1.77563i | 0.108939 | + | 0.0628959i | 0.553479 | − | 0.832863i | \(-0.313300\pi\) |
−0.444541 | + | 0.895759i | \(0.646633\pi\) | |||||||
\(798\) | 27.9697 | + | 11.2194i | 0.990118 | + | 0.397164i | ||||
\(799\) | 3.16150 | + | 5.47588i | 0.111846 | + | 0.193723i | ||||
\(800\) | 34.0934 | 1.20538 | ||||||||
\(801\) | 4.51103 | + | 15.4408i | 0.159389 | + | 0.545572i | ||||
\(802\) | −47.0527 | −1.66149 | ||||||||
\(803\) | 9.55469 | + | 16.5492i | 0.337178 | + | 0.584009i | ||||
\(804\) | −8.29483 | − | 27.1465i | −0.292536 | − | 0.957383i | ||||
\(805\) | 8.66372 | − | 15.0060i | 0.305356 | − | 0.528892i | ||||
\(806\) | 23.0271 | − | 39.8841i | 0.811096 | − | 1.40486i | ||||
\(807\) | 0.527092 | + | 3.68377i | 0.0185545 | + | 0.129675i | ||||
\(808\) | −0.0291404 | − | 0.0504727i | −0.00102516 | − | 0.00177562i | ||||
\(809\) | 37.0768 | 1.30355 | 0.651776 | − | 0.758412i | \(-0.274024\pi\) | ||||
0.651776 | + | 0.758412i | \(0.274024\pi\) | |||||||
\(810\) | 46.1733 | − | 29.4967i | 1.62236 | − | 1.03641i | ||||
\(811\) | 47.8004i | 1.67850i | 0.543747 | + | 0.839249i | \(0.317005\pi\) | ||||
−0.543747 | + | 0.839249i | \(0.682995\pi\) | |||||||
\(812\) | 3.07499 | + | 5.32604i | 0.107911 | + | 0.186908i | ||||
\(813\) | −3.14573 | − | 21.9851i | −0.110326 | − | 0.771050i | ||||
\(814\) | −12.5185 | + | 21.6827i | −0.438773 | + | 0.759977i | ||||
\(815\) | 19.0974 | − | 33.0776i | 0.668952 | − | 1.15866i | ||||
\(816\) | 5.86316 | − | 4.60439i | 0.205252 | − | 0.161186i | ||||
\(817\) | −0.216936 | + | 0.125248i | −0.00758964 | + | 0.00438188i | ||||
\(818\) | − | 10.5323i | − | 0.368253i | ||||||
\(819\) | −82.8218 | + | 24.1965i | −2.89403 | + | 0.845493i | ||||
\(820\) | 67.6964 | 2.36406 | ||||||||
\(821\) | −27.9218 | + | 16.1207i | −0.974478 | + | 0.562615i | −0.900599 | − | 0.434652i | \(-0.856871\pi\) |
−0.0738797 | + | 0.997267i | \(0.523538\pi\) | |||||||
\(822\) | −23.7525 | + | 59.2141i | −0.828462 | + | 2.06533i | ||||
\(823\) | −18.8761 | + | 32.6944i | −0.657980 | + | 1.13965i | 0.323158 | + | 0.946345i | \(0.395256\pi\) |
−0.981138 | + | 0.193310i | \(0.938078\pi\) | |||||||
\(824\) | 0.0293284 | − | 0.0507982i | 0.00102170 | − | 0.00176964i | ||||
\(825\) | −3.89672 | + | 9.71439i | −0.135666 | + | 0.338212i | ||||
\(826\) | 62.2452 | + | 107.812i | 2.16579 | + | 3.75125i | ||||
\(827\) | − | 23.2403i | − | 0.808143i | −0.914727 | − | 0.404071i | \(-0.867595\pi\) | ||
0.914727 | − | 0.404071i | \(-0.132405\pi\) | |||||||
\(828\) | 5.30520 | − | 5.54882i | 0.184369 | − | 0.192835i | ||||
\(829\) | −15.8048 | −0.548924 | −0.274462 | − | 0.961598i | \(-0.588500\pi\) | ||||
−0.274462 | + | 0.961598i | \(0.588500\pi\) | |||||||
\(830\) | −31.8175 | + | 18.3698i | −1.10440 | + | 0.637627i | ||||
\(831\) | 13.1498 | + | 16.7447i | 0.456161 | + | 0.580867i | ||||
\(832\) | −44.8244 | − | 25.8794i | −1.55401 | − | 0.897206i | ||||
\(833\) | −11.9851 | − | 6.91958i | −0.415258 | − | 0.239749i | ||||
\(834\) | 6.95901 | + | 48.6356i | 0.240971 | + | 1.68411i | ||||
\(835\) | 19.5477 | − | 11.2859i | 0.676475 | − | 0.390563i | ||||
\(836\) | −5.54390 | −0.191740 | ||||||||
\(837\) | −18.4412 | − | 1.79887i | −0.637423 | − | 0.0621780i | ||||
\(838\) | − | 41.3123i | − | 1.42711i | ||||||
\(839\) | −6.22917 | + | 3.59641i | −0.215055 | + | 0.124162i | −0.603658 | − | 0.797243i | \(-0.706291\pi\) |
0.388604 | + | 0.921405i | \(0.372958\pi\) | |||||||
\(840\) | −0.0143617 | − | 0.100372i | −0.000495525 | − | 0.00346315i | ||||
\(841\) | −14.2623 | + | 24.7030i | −0.491804 | + | 0.851829i | ||||
\(842\) | 32.2992 | − | 55.9439i | 1.11310 | − | 1.92795i | ||||
\(843\) | −25.8503 | − | 32.9173i | −0.890331 | − | 1.13373i | ||||
\(844\) | −3.26784 | − | 5.66006i | −0.112484 | − | 0.194827i | ||||
\(845\) | 87.2729 | 3.00228 | ||||||||
\(846\) | −34.2242 | − | 8.35197i | −1.17665 | − | 0.287147i | ||||
\(847\) | 40.0429i | 1.37589i | ||||||||
\(848\) | 2.00011 | + | 3.46430i | 0.0686842 | + | 0.118965i | ||||
\(849\) | −1.00312 | + | 2.50075i | −0.0344270 | + | 0.0858254i | ||||
\(850\) | −7.95129 | − | 4.59068i | −0.272727 | − | 0.157459i | ||||
\(851\) | 9.76656 | + | 5.63873i | 0.334793 | + | 0.193293i | ||||
\(852\) | −5.90210 | − | 2.36750i | −0.202203 | − | 0.0811092i | ||||
\(853\) | 25.0663 | + | 43.4161i | 0.858253 | + | 1.48654i | 0.873594 | + | 0.486656i | \(0.161783\pi\) |
−0.0153406 | + | 0.999882i | \(0.504883\pi\) | |||||||
\(854\) | 68.5364 | 2.34527 | ||||||||
\(855\) | −4.22533 | + | 17.3143i | −0.144503 | + | 0.592137i | ||||
\(856\) | 0.0363726i | 0.00124319i | ||||||||
\(857\) | −14.6378 | − | 25.3535i | −0.500019 | − | 0.866059i | −1.00000 | 2.23760e-5i | \(-0.999993\pi\) | |
0.499981 | − | 0.866037i | \(-0.333340\pi\) | |||||||
\(858\) | 24.9539 | − | 19.5966i | 0.851913 | − | 0.669015i | ||||
\(859\) | 11.2048 | − | 19.4073i | 0.382303 | − | 0.662168i | −0.609088 | − | 0.793102i | \(-0.708464\pi\) |
0.991391 | + | 0.130935i | \(0.0417978\pi\) | |||||||
\(860\) | 0.677051 | + | 0.390896i | 0.0230872 | + | 0.0133294i | ||||
\(861\) | 12.1438 | + | 84.8712i | 0.413859 | + | 2.89240i | ||||
\(862\) | −13.6351 | + | 7.87221i | −0.464412 | + | 0.268129i | ||||
\(863\) | 51.1709i | 1.74188i | 0.491392 | + | 0.870938i | \(0.336488\pi\) | ||||
−0.491392 | + | 0.870938i | \(0.663512\pi\) | |||||||
\(864\) | −4.03684 | + | 41.3840i | −0.137336 | + | 1.40791i | ||||
\(865\) | − | 61.9023i | − | 2.10474i | ||||||
\(866\) | 26.3330 | − | 15.2034i | 0.894831 | − | 0.516631i | ||||
\(867\) | 27.1585 | − | 3.88596i | 0.922350 | − | 0.131974i | ||||
\(868\) | −15.9032 | + | 27.5451i | −0.539790 | + | 0.934943i | ||||
\(869\) | −14.9096 | − | 8.60805i | −0.505773 | − | 0.292008i | ||||
\(870\) | −5.71787 | + | 4.49030i | −0.193854 | + | 0.152235i | ||||
\(871\) | −52.2151 | + | 8.12819i | −1.76924 | + | 0.275413i | ||||
\(872\) | 0.0749211i | 0.00253715i | ||||||||
\(873\) | −11.4008 | + | 11.9243i | −0.385858 | + | 0.403576i | ||||
\(874\) | 4.99160i | 0.168844i | ||||||||
\(875\) | −8.68202 | + | 5.01257i | −0.293506 | + | 0.169456i | ||||
\(876\) | 17.3941 | − | 43.3629i | 0.587691 | − | 1.46510i | ||||
\(877\) | −10.4343 | + | 18.0727i | −0.352340 | + | 0.610271i | −0.986659 | − | 0.162801i | \(-0.947947\pi\) |
0.634319 | + | 0.773071i | \(0.281281\pi\) | |||||||
\(878\) | 21.7125 | − | 37.6071i | 0.732760 | − | 1.26918i | ||||
\(879\) | 22.3123 | + | 8.95011i | 0.752576 | + | 0.301880i | ||||
\(880\) | −8.62319 | − | 14.9358i | −0.290688 | − | 0.503486i | ||||
\(881\) | − | 42.5398i | − | 1.43320i | −0.697484 | − | 0.716601i | \(-0.745697\pi\) | ||
0.697484 | − | 0.716601i | \(-0.254303\pi\) | |||||||
\(882\) | 74.0110 | − | 21.6224i | 2.49208 | − | 0.728063i | ||||
\(883\) | 28.6015i | 0.962516i | 0.876579 | + | 0.481258i | \(0.159820\pi\) | ||||
−0.876579 | + | 0.481258i | \(0.840180\pi\) | |||||||
\(884\) | 6.96182 | + | 12.0582i | 0.234151 | + | 0.405562i | ||||
\(885\) | −57.9028 | + | 45.4716i | −1.94638 | + | 1.52851i | ||||
\(886\) | 32.0044 | − | 55.4332i | 1.07521 | − | 1.86231i | ||||
\(887\) | 42.0619 | + | 24.2844i | 1.41230 | + | 0.815392i | 0.995605 | − | 0.0936544i | \(-0.0298549\pi\) |
0.416695 | + | 0.909046i | \(0.363188\pi\) | |||||||
\(888\) | 0.0653263 | − | 0.00934720i | 0.00219221 | − | 0.000313672i | ||||
\(889\) | −49.1021 | + | 28.3491i | −1.64683 | + | 0.950798i | ||||
\(890\) | 32.6436i | 1.09422i | ||||||||
\(891\) | −11.3303 | − | 5.88023i | −0.379580 | − | 0.196995i | ||||
\(892\) | 29.8804 | 1.00047 | ||||||||
\(893\) | 9.92396 | − | 5.72960i | 0.332093 | − | 0.191734i | ||||
\(894\) | 7.98130 | + | 55.7802i | 0.266935 | + | 1.86557i | ||||
\(895\) | 13.8129 | − | 23.9246i | 0.461714 | − | 0.799712i | ||||
\(896\) | 0.133277 | + | 0.0769473i | 0.00445246 | + | 0.00257063i | ||||
\(897\) | −8.82691 | − | 11.2400i | −0.294722 | − | 0.375294i | ||||
\(898\) | 40.8951 | − | 23.6108i | 1.36469 | − | 0.787903i | ||||
\(899\) | 2.45861 | 0.0819992 | ||||||||
\(900\) | 24.5639 | − | 7.17637i | 0.818798 | − | 0.239212i | ||||
\(901\) | − | 1.07843i | − | 0.0359276i | ||||||
\(902\) | −15.7636 | − | 27.3034i | −0.524871 | − | 0.909103i | ||||
\(903\) | −0.368614 | + | 0.918942i | −0.0122667 | + | 0.0305805i | ||||
\(904\) | −6.46448e−5 | 0 | 0.000111968i | −2.15005e−6 | 0 | 3.72400e-6i | ||||
\(905\) | −3.16708 | + | 5.48554i | −0.105277 | + | 0.182346i | ||||
\(906\) | 12.3234 | − | 30.7219i | 0.409419 | − | 1.02067i | ||||
\(907\) | −2.64459 | − | 4.58057i | −0.0878122 | − | 0.152095i | 0.818774 | − | 0.574116i | \(-0.194654\pi\) |
−0.906586 | + | 0.422021i | \(0.861321\pi\) | |||||||
\(908\) | 32.5283i | 1.07949i | ||||||||
\(909\) | 29.2671 | + | 27.9822i | 0.970729 | + | 0.928110i | ||||
\(910\) | −175.095 | −5.80435 | ||||||||
\(911\) | −3.57472 | + | 2.06386i | −0.118436 | + | 0.0683788i | −0.558048 | − | 0.829809i | \(-0.688449\pi\) |
0.439612 | + | 0.898188i | \(0.355116\pi\) | |||||||
\(912\) | −8.34456 | − | 10.6258i | −0.276316 | − | 0.351856i | ||||
\(913\) | 7.41294 | + | 4.27986i | 0.245332 | + | 0.141643i | ||||
\(914\) | −25.9677 | + | 44.9773i | −0.858934 | + | 1.48772i | ||||
\(915\) | 5.74109 | + | 40.1237i | 0.189794 | + | 1.32645i | ||||
\(916\) | 9.28908 | − | 5.36306i | 0.306920 | − | 0.177200i | ||||
\(917\) | 29.6509 | 0.979159 | ||||||||
\(918\) | 6.51384 | − | 9.10805i | 0.214989 | − | 0.300610i | ||||
\(919\) | 3.32239i | 0.109595i | 0.998497 | + | 0.0547977i | \(0.0174514\pi\) | ||||
−0.998497 | + | 0.0547977i | \(0.982549\pi\) | |||||||
\(920\) | 0.0145444 | − | 0.00839723i | 0.000479515 | − | 0.000276848i | ||||
\(921\) | −16.4026 | + | 2.34697i | −0.540485 | + | 0.0773352i | ||||
\(922\) | 46.6698 | + | 26.9448i | 1.53699 | + | 0.887380i | ||||
\(923\) | −5.91934 | + | 10.2526i | −0.194837 | + | 0.337468i | ||||
\(924\) | −17.2339 | + | 13.5339i | −0.566954 | + | 0.445234i | ||||
\(925\) | 18.7966 | + | 32.5567i | 0.618028 | + | 1.07046i | ||||
\(926\) | 29.3562i | 0.964703i | ||||||||
\(927\) | −9.66163 | + | 39.5909i | −0.317330 | + | 1.30033i | ||||
\(928\) | − | 5.51736i | − | 0.181116i | ||||||
\(929\) | 7.95339 | + | 13.7757i | 0.260942 | + | 0.451966i | 0.966493 | − | 0.256694i | \(-0.0826334\pi\) |
−0.705550 | + | 0.708660i | \(0.749300\pi\) | |||||||
\(930\) | −34.8973 | − | 13.9983i | −1.14433 | − | 0.459023i | ||||
\(931\) | −12.5404 | + | 21.7206i | −0.410994 | + | 0.711863i | ||||
\(932\) | 9.86591 | − | 17.0883i | 0.323169 | − | 0.559745i | ||||
\(933\) | 10.0353 | − | 25.0178i | 0.328543 | − | 0.819046i | ||||
\(934\) | 4.74542 | − | 2.73977i | 0.155275 | − | 0.0896481i | ||||
\(935\) | 4.64947i | 0.152054i | ||||||||
\(936\) | −0.0812456 | − | 0.0198269i | −0.00265560 | − | 0.000648064i | ||||
\(937\) | − | 16.3237i | − | 0.533273i | −0.963797 | − | 0.266637i | \(-0.914088\pi\) | ||
0.963797 | − | 0.266637i | \(-0.0859124\pi\) | |||||||
\(938\) | 72.0836 | − | 11.2211i | 2.35361 | − | 0.366381i | ||||
\(939\) | −22.2918 | + | 17.5059i | −0.727464 | + | 0.571284i | ||||
\(940\) | −30.9723 | − | 17.8819i | −1.01021 | − | 0.583242i | ||||
\(941\) | −2.95532 | + | 5.11877i | −0.0963407 | + | 0.166867i | −0.910167 | − | 0.414241i | \(-0.864047\pi\) |
0.813827 | + | 0.581108i | \(0.197381\pi\) | |||||||
\(942\) | −27.5227 | + | 3.93808i | −0.896738 | + | 0.128310i | ||||
\(943\) | −12.2983 | + | 7.10043i | −0.400488 | + | 0.231222i | ||||
\(944\) | − | 55.8120i | − | 1.81653i | ||||||
\(945\) | 29.1333 | + | 64.1387i | 0.947705 | + | 2.08643i | ||||
\(946\) | − | 0.364092i | − | 0.0118376i | ||||||
\(947\) | 6.43912 | − | 3.71763i | 0.209243 | − | 0.120807i | −0.391716 | − | 0.920086i | \(-0.628119\pi\) |
0.600960 | + | 0.799279i | \(0.294785\pi\) | |||||||
\(948\) | 5.96207 | + | 41.6681i | 0.193639 | + | 1.35332i | ||||
\(949\) | −75.3261 | − | 43.4896i | −2.44519 | − | 1.41173i | ||||
\(950\) | −8.31971 | + | 14.4102i | −0.269927 | + | 0.467527i | ||||
\(951\) | 12.7947 | − | 10.0478i | 0.414897 | − | 0.325823i | ||||
\(952\) | −0.0103610 | − | 0.0179457i | −0.000335801 | − | 0.000581624i | ||||
\(953\) | − | 23.1491i | − | 0.749874i | −0.927050 | − | 0.374937i | \(-0.877664\pi\) | ||
0.927050 | − | 0.374937i | \(-0.122336\pi\) | |||||||
\(954\) | 4.34288 | + | 4.15221i | 0.140606 | + | 0.134433i | ||||
\(955\) | 58.1190 | 1.88069 | ||||||||
\(956\) | 1.64328 | + | 2.84624i | 0.0531474 | + | 0.0920539i | ||||
\(957\) | 1.57209 | + | 0.630608i | 0.0508183 | + | 0.0203847i | ||||
\(958\) | −28.2777 | − | 16.3261i | −0.913612 | − | 0.527474i | ||||
\(959\) | −71.0391 | − | 41.0145i | −2.29397 | − | 1.32443i | ||||
\(960\) | −15.7322 | + | 39.2199i | −0.507755 | + | 1.26582i | ||||
\(961\) | −9.14231 | − | 15.8349i | −0.294913 | − | 0.510805i | ||||
\(962\) | − | 113.960i | − | 3.67420i | ||||||
\(963\) | −7.08656 | − | 24.2565i | −0.228361 | − | 0.781655i | ||||
\(964\) | 24.9343 | 0.803078 | ||||||||
\(965\) | −8.62093 | − | 14.9319i | −0.277517 | − | 0.480674i | ||||
\(966\) | 12.1857 | + | 15.5170i | 0.392067 | + | 0.499252i | ||||
\(967\) | −18.9828 | + | 32.8792i | −0.610446 | + | 1.05732i | 0.380720 | + | 0.924690i | \(0.375676\pi\) |
−0.991165 | + | 0.132632i | \(0.957657\pi\) | |||||||
\(968\) | −0.0194056 | + | 0.0336115i | −0.000623719 | + | 0.00108031i | ||||
\(969\) | 0.515914 | + | 3.60565i | 0.0165735 | + | 0.115830i | ||||
\(970\) | −28.9929 | + | 16.7391i | −0.930906 | + | 0.537459i | ||||
\(971\) | 30.6587i | 0.983884i | 0.870628 | + | 0.491942i | \(0.163713\pi\) | ||||
−0.870628 | + | 0.491942i | \(0.836287\pi\) | |||||||
\(972\) | 5.80248 | + | 30.6664i | 0.186115 | + | 0.983626i | ||||
\(973\) | −63.1682 | −2.02508 | ||||||||
\(974\) | −57.9120 | + | 33.4355i | −1.85562 | + | 1.07134i | ||||
\(975\) | −6.74799 | − | 47.1608i | −0.216109 | − | 1.51035i | ||||
\(976\) | −26.6100 | − | 15.3633i | −0.851764 | − | 0.491766i | ||||
\(977\) | −20.4824 | − | 11.8255i | −0.655290 | − | 0.378332i | 0.135190 | − | 0.990820i | \(-0.456835\pi\) |
−0.790480 | + | 0.612488i | \(0.790169\pi\) | |||||||
\(978\) | 26.8608 | + | 34.2040i | 0.858912 | + | 1.09372i | ||||
\(979\) | 6.58647 | − | 3.80270i | 0.210505 | − | 0.121535i | ||||
\(980\) | 78.2762 | 2.50044 | ||||||||
\(981\) | −14.5970 | − | 49.9640i | −0.466047 | − | 1.59523i | ||||
\(982\) | 51.5446i | 1.64486i | ||||||||
\(983\) | 5.90038 | + | 10.2198i | 0.188193 | + | 0.325960i | 0.944648 | − | 0.328086i | \(-0.106404\pi\) |
−0.756455 | + | 0.654046i | \(0.773070\pi\) | |||||||
\(984\) | −0.0309370 | + | 0.0771249i | −0.000986234 | + | 0.00245865i | ||||
\(985\) | −5.88621 | + | 10.1952i | −0.187550 | + | 0.324847i | ||||
\(986\) | −0.742914 | + | 1.28676i | −0.0236592 | + | 0.0409789i | ||||
\(987\) | 16.8626 | − | 42.0378i | 0.536741 | − | 1.33808i | ||||
\(988\) | 21.8532 | − | 12.6169i | 0.695242 | − | 0.401398i | ||||
\(989\) | −0.163998 | −0.00521485 | ||||||||
\(990\) | −18.7237 | − | 17.9016i | −0.595078 | − | 0.568951i | ||||
\(991\) | 27.1892i | 0.863694i | 0.901947 | + | 0.431847i | \(0.142138\pi\) | ||||
−0.901947 | + | 0.431847i | \(0.857862\pi\) | |||||||
\(992\) | 24.7117 | − | 14.2673i | 0.784596 | − | 0.452987i | ||||
\(993\) | 36.7597 | − | 28.8677i | 1.16653 | − | 0.916090i | ||||
\(994\) | 8.17173 | − | 14.1538i | 0.259191 | − | 0.448933i | ||||
\(995\) | 17.5284 | − | 30.3601i | 0.555687 | − | 0.962479i | ||||
\(996\) | −2.96430 | − | 20.7171i | −0.0939274 | − | 0.656446i | ||||
\(997\) | −16.9542 | − | 29.3656i | −0.536946 | − | 0.930018i | −0.999066 | − | 0.0432006i | \(-0.986245\pi\) |
0.462120 | − | 0.886817i | \(-0.347089\pi\) | |||||||
\(998\) | − | 51.0664i | − | 1.61648i | ||||||
\(999\) | −41.7442 | + | 18.9612i | −1.32073 | + | 0.599906i |
(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 | 603.2.l.a.401.55 | yes | 132 | |
9.2 | odd | 6 | inner | 603.2.l.a.200.12 | ✓ | 132 | |
67.66 | odd | 2 | inner | 603.2.l.a.401.12 | yes | 132 | |
603.200 | even | 6 | inner | 603.2.l.a.200.55 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
603.2.l.a.200.12 | ✓ | 132 | 9.2 | odd | 6 | inner | |
603.2.l.a.200.55 | yes | 132 | 603.200 | even | 6 | inner | |
603.2.l.a.401.12 | yes | 132 | 67.66 | odd | 2 | inner | |
603.2.l.a.401.55 | yes | 132 | 1.1 | even | 1 | trivial |