Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(161,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.161");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.o (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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 491.1 | ||
Character | \(\chi\) | \(=\) | 930.491 |
Dual form | 930.2.o.e.161.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | −1.69869 | + | 0.338296i | −0.980740 | + | 0.195315i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.866025 | + | 0.500000i | −0.387298 | + | 0.223607i | ||||
\(6\) | 0.338296 | + | 1.69869i | 0.138109 | + | 0.693488i | ||||
\(7\) | −1.24695 | + | 2.15979i | −0.471304 | + | 0.816323i | −0.999461 | − | 0.0328240i | \(-0.989550\pi\) |
0.528157 | + | 0.849147i | \(0.322883\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 2.77111 | − | 1.14932i | 0.923704 | − | 0.383107i | ||||
\(10\) | 0.500000 | + | 0.866025i | 0.158114 | + | 0.273861i | ||||
\(11\) | 0.404589 | + | 0.700769i | 0.121988 | + | 0.211290i | 0.920552 | − | 0.390621i | \(-0.127740\pi\) |
−0.798563 | + | 0.601911i | \(0.794406\pi\) | |||||||
\(12\) | 1.69869 | − | 0.338296i | 0.490370 | − | 0.0976577i | ||||
\(13\) | 3.21968 | − | 1.85888i | 0.892978 | − | 0.515561i | 0.0180623 | − | 0.999837i | \(-0.494250\pi\) |
0.874915 | + | 0.484276i | \(0.160917\pi\) | |||||||
\(14\) | 2.15979 | + | 1.24695i | 0.577227 | + | 0.333262i | ||||
\(15\) | 1.30196 | − | 1.14232i | 0.336165 | − | 0.294946i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 3.37588 | − | 5.84719i | 0.818770 | − | 1.41815i | −0.0878187 | − | 0.996136i | \(-0.527990\pi\) |
0.906589 | − | 0.422015i | \(-0.138677\pi\) | |||||||
\(18\) | −1.14932 | − | 2.77111i | −0.270898 | − | 0.653157i | ||||
\(19\) | −3.45706 | + | 5.98781i | −0.793105 | + | 1.37370i | 0.130931 | + | 0.991392i | \(0.458203\pi\) |
−0.924036 | + | 0.382307i | \(0.875130\pi\) | |||||||
\(20\) | 0.866025 | − | 0.500000i | 0.193649 | − | 0.111803i | ||||
\(21\) | 1.38754 | − | 4.09065i | 0.302787 | − | 0.892654i | ||||
\(22\) | 0.700769 | − | 0.404589i | 0.149404 | − | 0.0862587i | ||||
\(23\) | −2.81543 | −0.587059 | −0.293529 | − | 0.955950i | \(-0.594830\pi\) | ||||
−0.293529 | + | 0.955950i | \(0.594830\pi\) | |||||||
\(24\) | −0.338296 | − | 1.69869i | −0.0690544 | − | 0.346744i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | −1.85888 | − | 3.21968i | −0.364557 | − | 0.631431i | ||||
\(27\) | −4.31845 | + | 2.88980i | −0.831087 | + | 0.556143i | ||||
\(28\) | 1.24695 | − | 2.15979i | 0.235652 | − | 0.408161i | ||||
\(29\) | −9.79927 | −1.81968 | −0.909840 | − | 0.414960i | \(-0.863796\pi\) | ||||
−0.909840 | + | 0.414960i | \(0.863796\pi\) | |||||||
\(30\) | −1.14232 | − | 1.30196i | −0.208558 | − | 0.237705i | ||||
\(31\) | −5.56019 | − | 0.290293i | −0.998640 | − | 0.0521381i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −0.924340 | − | 1.05352i | −0.160907 | − | 0.183394i | ||||
\(34\) | −5.84719 | − | 3.37588i | −1.00278 | − | 0.578958i | ||||
\(35\) | − | 2.49391i | − | 0.421547i | ||||||
\(36\) | −2.77111 | + | 1.14932i | −0.461852 | + | 0.191554i | ||||
\(37\) | −3.94549 | − | 2.27793i | −0.648634 | − | 0.374489i | 0.139299 | − | 0.990250i | \(-0.455515\pi\) |
−0.787933 | + | 0.615761i | \(0.788849\pi\) | |||||||
\(38\) | 5.98781 | + | 3.45706i | 0.971351 | + | 0.560810i | ||||
\(39\) | −4.84039 | + | 4.24687i | −0.775082 | + | 0.680044i | ||||
\(40\) | −0.500000 | − | 0.866025i | −0.0790569 | − | 0.136931i | ||||
\(41\) | −2.77433 | + | 1.60176i | −0.433277 | + | 0.250153i | −0.700742 | − | 0.713415i | \(-0.747147\pi\) |
0.267465 | + | 0.963568i | \(0.413814\pi\) | |||||||
\(42\) | −4.09065 | − | 1.38754i | −0.631202 | − | 0.214103i | ||||
\(43\) | 5.26630 | + | 3.04050i | 0.803103 | + | 0.463672i | 0.844555 | − | 0.535469i | \(-0.179865\pi\) |
−0.0414520 | + | 0.999140i | \(0.513198\pi\) | |||||||
\(44\) | −0.404589 | − | 0.700769i | −0.0609941 | − | 0.105645i | ||||
\(45\) | −1.82519 | + | 2.38090i | −0.272084 | + | 0.354923i | ||||
\(46\) | 2.81543i | 0.415113i | ||||||||
\(47\) | − | 12.3679i | − | 1.80405i | −0.431684 | − | 0.902025i | \(-0.642080\pi\) | ||
0.431684 | − | 0.902025i | \(-0.357920\pi\) | |||||||
\(48\) | −1.69869 | + | 0.338296i | −0.245185 | + | 0.0488289i | ||||
\(49\) | 0.390213 | + | 0.675869i | 0.0557448 | + | 0.0965528i | ||||
\(50\) | −0.866025 | − | 0.500000i | −0.122474 | − | 0.0707107i | ||||
\(51\) | −3.75649 | + | 11.0746i | −0.526014 | + | 1.55076i | ||||
\(52\) | −3.21968 | + | 1.85888i | −0.446489 | + | 0.257780i | ||||
\(53\) | −4.33368 | − | 7.50615i | −0.595276 | − | 1.03105i | −0.993508 | − | 0.113764i | \(-0.963709\pi\) |
0.398232 | − | 0.917285i | \(-0.369624\pi\) | |||||||
\(54\) | 2.88980 | + | 4.31845i | 0.393252 | + | 0.587667i | ||||
\(55\) | −0.700769 | − | 0.404589i | −0.0944916 | − | 0.0545548i | ||||
\(56\) | −2.15979 | − | 1.24695i | −0.288614 | − | 0.166631i | ||||
\(57\) | 3.84683 | − | 11.3410i | 0.509526 | − | 1.50215i | ||||
\(58\) | 9.79927i | 1.28671i | ||||||||
\(59\) | −1.80978 | − | 1.04488i | −0.235613 | − | 0.136031i | 0.377546 | − | 0.925991i | \(-0.376768\pi\) |
−0.613159 | + | 0.789960i | \(0.710101\pi\) | |||||||
\(60\) | −1.30196 | + | 1.14232i | −0.168083 | + | 0.147473i | ||||
\(61\) | − | 1.93145i | − | 0.247297i | −0.992326 | − | 0.123649i | \(-0.960540\pi\) | ||
0.992326 | − | 0.123649i | \(-0.0394595\pi\) | |||||||
\(62\) | −0.290293 | + | 5.56019i | −0.0368672 | + | 0.706145i | ||||
\(63\) | −0.973156 | + | 7.41816i | −0.122606 | + | 0.934601i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −1.85888 | + | 3.21968i | −0.230566 | + | 0.399352i | ||||
\(66\) | −1.05352 | + | 0.924340i | −0.129679 | + | 0.113778i | ||||
\(67\) | 1.82612 | + | 3.16294i | 0.223097 | + | 0.386415i | 0.955747 | − | 0.294191i | \(-0.0950501\pi\) |
−0.732650 | + | 0.680605i | \(0.761717\pi\) | |||||||
\(68\) | −3.37588 | + | 5.84719i | −0.409385 | + | 0.709076i | ||||
\(69\) | 4.78256 | − | 0.952451i | 0.575752 | − | 0.114662i | ||||
\(70\) | −2.49391 | −0.298079 | ||||||||
\(71\) | 5.69119 | − | 3.28581i | 0.675420 | − | 0.389954i | −0.122707 | − | 0.992443i | \(-0.539158\pi\) |
0.798127 | + | 0.602489i | \(0.205824\pi\) | |||||||
\(72\) | 1.14932 | + | 2.77111i | 0.135449 | + | 0.326579i | ||||
\(73\) | −11.0817 | + | 6.39801i | −1.29701 | + | 0.748831i | −0.979887 | − | 0.199553i | \(-0.936051\pi\) |
−0.317126 | + | 0.948384i | \(0.602718\pi\) | |||||||
\(74\) | −2.27793 | + | 3.94549i | −0.264804 | + | 0.458654i | ||||
\(75\) | −0.556373 | + | 1.64026i | −0.0642444 | + | 0.189401i | ||||
\(76\) | 3.45706 | − | 5.98781i | 0.396552 | − | 0.686849i | ||||
\(77\) | −2.01801 | −0.229974 | ||||||||
\(78\) | 4.24687 | + | 4.84039i | 0.480864 | + | 0.548066i | ||||
\(79\) | −4.86732 | − | 2.81015i | −0.547616 | − | 0.316167i | 0.200544 | − | 0.979685i | \(-0.435729\pi\) |
−0.748160 | + | 0.663518i | \(0.769063\pi\) | |||||||
\(80\) | −0.866025 | + | 0.500000i | −0.0968246 | + | 0.0559017i | ||||
\(81\) | 6.35812 | − | 6.36980i | 0.706457 | − | 0.707756i | ||||
\(82\) | 1.60176 | + | 2.77433i | 0.176885 | + | 0.306373i | ||||
\(83\) | −6.60136 | − | 11.4339i | −0.724594 | − | 1.25503i | −0.959141 | − | 0.282929i | \(-0.908694\pi\) |
0.234547 | − | 0.972105i | \(-0.424639\pi\) | |||||||
\(84\) | −1.38754 | + | 4.09065i | −0.151393 | + | 0.446327i | ||||
\(85\) | 6.75175i | 0.732330i | ||||||||
\(86\) | 3.04050 | − | 5.26630i | 0.327865 | − | 0.567880i | ||||
\(87\) | 16.6460 | − | 3.31506i | 1.78463 | − | 0.355411i | ||||
\(88\) | −0.700769 | + | 0.404589i | −0.0747022 | + | 0.0431293i | ||||
\(89\) | −7.63447 | −0.809252 | −0.404626 | − | 0.914482i | \(-0.632598\pi\) | ||||
−0.404626 | + | 0.914482i | \(0.632598\pi\) | |||||||
\(90\) | 2.38090 | + | 1.82519i | 0.250969 | + | 0.192392i | ||||
\(91\) | 9.27175i | 0.971944i | ||||||||
\(92\) | 2.81543 | 0.293529 | ||||||||
\(93\) | 9.54326 | − | 1.38787i | 0.989590 | − | 0.143916i | ||||
\(94\) | −12.3679 | −1.27566 | ||||||||
\(95\) | − | 6.91413i | − | 0.709375i | ||||||
\(96\) | 0.338296 | + | 1.69869i | 0.0345272 | + | 0.173372i | ||||
\(97\) | 3.29345 | 0.334399 | 0.167199 | − | 0.985923i | \(-0.446528\pi\) | ||||
0.167199 | + | 0.985923i | \(0.446528\pi\) | |||||||
\(98\) | 0.675869 | − | 0.390213i | 0.0682731 | − | 0.0394175i | ||||
\(99\) | 1.92657 | + | 1.47691i | 0.193628 | + | 0.148435i | ||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | 2.54099i | 0.252838i | 0.991977 | + | 0.126419i | \(0.0403484\pi\) | ||||
−0.991977 | + | 0.126419i | \(0.959652\pi\) | |||||||
\(102\) | 11.0746 | + | 3.75649i | 1.09655 | + | 0.371948i | ||||
\(103\) | −3.25687 | − | 5.64107i | −0.320909 | − | 0.555831i | 0.659767 | − | 0.751471i | \(-0.270655\pi\) |
−0.980676 | + | 0.195639i | \(0.937322\pi\) | |||||||
\(104\) | 1.85888 | + | 3.21968i | 0.182278 | + | 0.315715i | ||||
\(105\) | 0.843679 | + | 4.23638i | 0.0823347 | + | 0.413428i | ||||
\(106\) | −7.50615 | + | 4.33368i | −0.729061 | + | 0.420924i | ||||
\(107\) | −1.33464 | − | 0.770553i | −0.129024 | − | 0.0744921i | 0.434099 | − | 0.900865i | \(-0.357067\pi\) |
−0.563123 | + | 0.826373i | \(0.690400\pi\) | |||||||
\(108\) | 4.31845 | − | 2.88980i | 0.415543 | − | 0.278071i | ||||
\(109\) | −19.5290 | −1.87054 | −0.935271 | − | 0.353932i | \(-0.884844\pi\) | ||||
−0.935271 | + | 0.353932i | \(0.884844\pi\) | |||||||
\(110\) | −0.404589 | + | 0.700769i | −0.0385760 | + | 0.0668157i | ||||
\(111\) | 7.47278 | + | 2.53476i | 0.709285 | + | 0.240588i | ||||
\(112\) | −1.24695 | + | 2.15979i | −0.117826 | + | 0.204081i | ||||
\(113\) | −6.23706 | + | 3.60097i | −0.586733 | + | 0.338750i | −0.763805 | − | 0.645448i | \(-0.776671\pi\) |
0.177072 | + | 0.984198i | \(0.443338\pi\) | |||||||
\(114\) | −11.3410 | − | 3.84683i | −1.06218 | − | 0.360289i | ||||
\(115\) | 2.43824 | − | 1.40772i | 0.227367 | − | 0.131270i | ||||
\(116\) | 9.79927 | 0.909840 | ||||||||
\(117\) | 6.78563 | − | 8.85161i | 0.627332 | − | 0.818332i | ||||
\(118\) | −1.04488 | + | 1.80978i | −0.0961886 | + | 0.166604i | ||||
\(119\) | 8.41912 | + | 14.5823i | 0.771780 | + | 1.33676i | ||||
\(120\) | 1.14232 | + | 1.30196i | 0.104279 | + | 0.118852i | ||||
\(121\) | 5.17262 | − | 8.95923i | 0.470238 | − | 0.814476i | ||||
\(122\) | −1.93145 | −0.174865 | ||||||||
\(123\) | 4.17086 | − | 3.65944i | 0.376074 | − | 0.329960i | ||||
\(124\) | 5.56019 | + | 0.290293i | 0.499320 | + | 0.0260691i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 7.41816 | + | 0.973156i | 0.660862 | + | 0.0866956i | ||||
\(127\) | −7.97677 | − | 4.60539i | −0.707823 | − | 0.408662i | 0.102431 | − | 0.994740i | \(-0.467338\pi\) |
−0.810255 | + | 0.586078i | \(0.800671\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −9.97441 | − | 3.38330i | −0.878198 | − | 0.297883i | ||||
\(130\) | 3.21968 | + | 1.85888i | 0.282384 | + | 0.163035i | ||||
\(131\) | 13.9591 | + | 8.05927i | 1.21961 | + | 0.704142i | 0.964834 | − | 0.262859i | \(-0.0846653\pi\) |
0.254775 | + | 0.967000i | \(0.417999\pi\) | |||||||
\(132\) | 0.924340 | + | 1.05352i | 0.0804534 | + | 0.0916971i | ||||
\(133\) | −8.62160 | − | 14.9330i | −0.747587 | − | 1.29486i | ||||
\(134\) | 3.16294 | − | 1.82612i | 0.273236 | − | 0.157753i | ||||
\(135\) | 2.29499 | − | 4.66187i | 0.197521 | − | 0.401230i | ||||
\(136\) | 5.84719 | + | 3.37588i | 0.501392 | + | 0.289479i | ||||
\(137\) | −3.38204 | − | 5.85786i | −0.288947 | − | 0.500471i | 0.684612 | − | 0.728908i | \(-0.259972\pi\) |
−0.973559 | + | 0.228437i | \(0.926638\pi\) | |||||||
\(138\) | −0.952451 | − | 4.78256i | −0.0810780 | − | 0.407118i | ||||
\(139\) | − | 2.92120i | − | 0.247773i | −0.992296 | − | 0.123887i | \(-0.960464\pi\) | ||
0.992296 | − | 0.123887i | \(-0.0395359\pi\) | |||||||
\(140\) | 2.49391i | 0.210774i | ||||||||
\(141\) | 4.18403 | + | 21.0093i | 0.352359 | + | 1.76931i | ||||
\(142\) | −3.28581 | − | 5.69119i | −0.275739 | − | 0.477594i | ||||
\(143\) | 2.60529 | + | 1.50417i | 0.217865 | + | 0.125785i | ||||
\(144\) | 2.77111 | − | 1.14932i | 0.230926 | − | 0.0957769i | ||||
\(145\) | 8.48642 | − | 4.89964i | 0.704759 | − | 0.406893i | ||||
\(146\) | 6.39801 | + | 11.0817i | 0.529503 | + | 0.917126i | ||||
\(147\) | −0.891496 | − | 1.01609i | −0.0735294 | − | 0.0838054i | ||||
\(148\) | 3.94549 | + | 2.27793i | 0.324317 | + | 0.187245i | ||||
\(149\) | 9.25026 | + | 5.34064i | 0.757811 | + | 0.437522i | 0.828509 | − | 0.559975i | \(-0.189189\pi\) |
−0.0706982 | + | 0.997498i | \(0.522523\pi\) | |||||||
\(150\) | 1.64026 | + | 0.556373i | 0.133927 | + | 0.0454277i | ||||
\(151\) | − | 8.63402i | − | 0.702626i | −0.936258 | − | 0.351313i | \(-0.885735\pi\) | ||
0.936258 | − | 0.351313i | \(-0.114265\pi\) | |||||||
\(152\) | −5.98781 | − | 3.45706i | −0.485676 | − | 0.280405i | ||||
\(153\) | 2.63462 | − | 20.0832i | 0.212997 | − | 1.62363i | ||||
\(154\) | 2.01801i | 0.162616i | ||||||||
\(155\) | 4.96041 | − | 2.52869i | 0.398430 | − | 0.203110i | ||||
\(156\) | 4.84039 | − | 4.24687i | 0.387541 | − | 0.340022i | ||||
\(157\) | 14.3655 | 1.14649 | 0.573245 | − | 0.819384i | \(-0.305684\pi\) | ||||
0.573245 | + | 0.819384i | \(0.305684\pi\) | |||||||
\(158\) | −2.81015 | + | 4.86732i | −0.223563 | + | 0.387223i | ||||
\(159\) | 9.90088 | + | 11.2846i | 0.785191 | + | 0.894924i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | 3.51072 | − | 6.08074i | 0.276683 | − | 0.479229i | ||||
\(162\) | −6.36980 | − | 6.35812i | −0.500459 | − | 0.499541i | ||||
\(163\) | −12.7393 | −0.997819 | −0.498909 | − | 0.866654i | \(-0.666266\pi\) | ||||
−0.498909 | + | 0.866654i | \(0.666266\pi\) | |||||||
\(164\) | 2.77433 | − | 1.60176i | 0.216638 | − | 0.125076i | ||||
\(165\) | 1.32726 | + | 0.450205i | 0.103327 | + | 0.0350484i | ||||
\(166\) | −11.4339 | + | 6.60136i | −0.887443 | + | 0.512365i | ||||
\(167\) | 8.45705 | − | 14.6480i | 0.654426 | − | 1.13350i | −0.327612 | − | 0.944813i | \(-0.606244\pi\) |
0.982037 | − | 0.188686i | \(-0.0604230\pi\) | |||||||
\(168\) | 4.09065 | + | 1.38754i | 0.315601 | + | 0.107051i | ||||
\(169\) | 0.410878 | − | 0.711662i | 0.0316060 | − | 0.0547433i | ||||
\(170\) | 6.75175 | 0.517836 | ||||||||
\(171\) | −2.69799 | + | 20.5662i | −0.206320 | + | 1.57273i | ||||
\(172\) | −5.26630 | − | 3.04050i | −0.401552 | − | 0.231836i | ||||
\(173\) | −3.02710 | + | 1.74770i | −0.230146 | + | 0.132875i | −0.610639 | − | 0.791909i | \(-0.709088\pi\) |
0.380493 | + | 0.924784i | \(0.375754\pi\) | |||||||
\(174\) | −3.31506 | − | 16.6460i | −0.251314 | − | 1.26193i | ||||
\(175\) | 1.24695 | + | 2.15979i | 0.0942608 | + | 0.163265i | ||||
\(176\) | 0.404589 | + | 0.700769i | 0.0304970 | + | 0.0528224i | ||||
\(177\) | 3.42773 | + | 1.16268i | 0.257644 | + | 0.0873925i | ||||
\(178\) | 7.63447i | 0.572228i | ||||||||
\(179\) | −8.22638 | + | 14.2485i | −0.614869 | + | 1.06498i | 0.375539 | + | 0.926807i | \(0.377458\pi\) |
−0.990408 | + | 0.138177i | \(0.955876\pi\) | |||||||
\(180\) | 1.82519 | − | 2.38090i | 0.136042 | − | 0.177462i | ||||
\(181\) | 21.2577 | − | 12.2731i | 1.58007 | − | 0.912256i | 0.585226 | − | 0.810870i | \(-0.301006\pi\) |
0.994847 | − | 0.101386i | \(-0.0323277\pi\) | |||||||
\(182\) | 9.27175 | 0.687268 | ||||||||
\(183\) | 0.653403 | + | 3.28094i | 0.0483009 | + | 0.242534i | ||||
\(184\) | − | 2.81543i | − | 0.207557i | ||||||
\(185\) | 4.55586 | 0.334953 | ||||||||
\(186\) | −1.38787 | − | 9.54326i | −0.101764 | − | 0.699746i | ||||
\(187\) | 5.46337 | 0.399521 | ||||||||
\(188\) | 12.3679i | 0.902025i | ||||||||
\(189\) | −0.856444 | − | 12.9304i | −0.0622971 | − | 0.940547i | ||||
\(190\) | −6.91413 | −0.501604 | ||||||||
\(191\) | −14.7094 | + | 8.49247i | −1.06433 | + | 0.614493i | −0.926628 | − | 0.375980i | \(-0.877306\pi\) |
−0.137706 | + | 0.990473i | \(0.543973\pi\) | |||||||
\(192\) | 1.69869 | − | 0.338296i | 0.122593 | − | 0.0244144i | ||||
\(193\) | −2.03343 | + | 3.52201i | −0.146370 | + | 0.253520i | −0.929883 | − | 0.367855i | \(-0.880092\pi\) |
0.783513 | + | 0.621375i | \(0.213426\pi\) | |||||||
\(194\) | − | 3.29345i | − | 0.236456i | ||||||
\(195\) | 2.06846 | − | 6.09809i | 0.148126 | − | 0.436693i | ||||
\(196\) | −0.390213 | − | 0.675869i | −0.0278724 | − | 0.0482764i | ||||
\(197\) | 9.54331 | + | 16.5295i | 0.679933 | + | 1.17768i | 0.975001 | + | 0.222202i | \(0.0713245\pi\) |
−0.295068 | + | 0.955476i | \(0.595342\pi\) | |||||||
\(198\) | 1.47691 | − | 1.92657i | 0.104959 | − | 0.136915i | ||||
\(199\) | −8.46400 | + | 4.88669i | −0.599997 | + | 0.346409i | −0.769041 | − | 0.639200i | \(-0.779266\pi\) |
0.169043 | + | 0.985609i | \(0.445932\pi\) | |||||||
\(200\) | 0.866025 | + | 0.500000i | 0.0612372 | + | 0.0353553i | ||||
\(201\) | −4.17203 | − | 4.75509i | −0.294273 | − | 0.335398i | ||||
\(202\) | 2.54099 | 0.178784 | ||||||||
\(203\) | 12.2192 | − | 21.1643i | 0.857623 | − | 1.48545i | ||||
\(204\) | 3.75649 | − | 11.0746i | 0.263007 | − | 0.775379i | ||||
\(205\) | 1.60176 | − | 2.77433i | 0.111872 | − | 0.193767i | ||||
\(206\) | −5.64107 | + | 3.25687i | −0.393032 | + | 0.226917i | ||||
\(207\) | −7.80188 | + | 3.23584i | −0.542268 | + | 0.224907i | ||||
\(208\) | 3.21968 | − | 1.85888i | 0.223244 | − | 0.128890i | ||||
\(209\) | −5.59476 | −0.386998 | ||||||||
\(210\) | 4.23638 | − | 0.843679i | 0.292338 | − | 0.0582194i | ||||
\(211\) | −10.1995 | + | 17.6661i | −0.702163 | + | 1.21618i | 0.265543 | + | 0.964099i | \(0.414449\pi\) |
−0.967706 | + | 0.252083i | \(0.918885\pi\) | |||||||
\(212\) | 4.33368 | + | 7.50615i | 0.297638 | + | 0.515524i | ||||
\(213\) | −8.55601 | + | 7.50689i | −0.586248 | + | 0.514364i | ||||
\(214\) | −0.770553 | + | 1.33464i | −0.0526739 | + | 0.0912339i | ||||
\(215\) | −6.08100 | −0.414721 | ||||||||
\(216\) | −2.88980 | − | 4.31845i | −0.196626 | − | 0.293834i | ||||
\(217\) | 7.56027 | − | 11.6468i | 0.513225 | − | 0.790640i | ||||
\(218\) | 19.5290i | 1.32267i | ||||||||
\(219\) | 16.6599 | − | 14.6171i | 1.12577 | − | 0.987735i | ||||
\(220\) | 0.700769 | + | 0.404589i | 0.0472458 | + | 0.0272774i | ||||
\(221\) | − | 25.1014i | − | 1.68850i | ||||||
\(222\) | 2.53476 | − | 7.47278i | 0.170122 | − | 0.501540i | ||||
\(223\) | 17.4442 | + | 10.0714i | 1.16815 | + | 0.674431i | 0.953243 | − | 0.302204i | \(-0.0977223\pi\) |
0.214905 | + | 0.976635i | \(0.431056\pi\) | |||||||
\(224\) | 2.15979 | + | 1.24695i | 0.144307 | + | 0.0833156i | ||||
\(225\) | 0.390213 | − | 2.97451i | 0.0260142 | − | 0.198301i | ||||
\(226\) | 3.60097 | + | 6.23706i | 0.239533 | + | 0.414883i | ||||
\(227\) | −18.9901 | + | 10.9640i | −1.26042 | + | 0.727704i | −0.973156 | − | 0.230148i | \(-0.926079\pi\) |
−0.287264 | + | 0.957851i | \(0.592746\pi\) | |||||||
\(228\) | −3.84683 | + | 11.3410i | −0.254763 | + | 0.751073i | ||||
\(229\) | 19.5144 | + | 11.2666i | 1.28955 | + | 0.744519i | 0.978573 | − | 0.205900i | \(-0.0660121\pi\) |
0.310972 | + | 0.950419i | \(0.399345\pi\) | |||||||
\(230\) | −1.40772 | − | 2.43824i | −0.0928221 | − | 0.160773i | ||||
\(231\) | 3.42799 | − | 0.682687i | 0.225545 | − | 0.0449175i | ||||
\(232\) | − | 9.79927i | − | 0.643354i | ||||||
\(233\) | − | 12.3700i | − | 0.810388i | −0.914231 | − | 0.405194i | \(-0.867204\pi\) | ||
0.914231 | − | 0.405194i | \(-0.132796\pi\) | |||||||
\(234\) | −8.85161 | − | 6.78563i | −0.578648 | − | 0.443590i | ||||
\(235\) | 6.18397 | + | 10.7110i | 0.403398 | + | 0.698706i | ||||
\(236\) | 1.80978 | + | 1.04488i | 0.117806 | + | 0.0680156i | ||||
\(237\) | 9.21875 | + | 3.12698i | 0.598822 | + | 0.203119i | ||||
\(238\) | 14.5823 | − | 8.41912i | 0.945233 | − | 0.545731i | ||||
\(239\) | 7.84359 | + | 13.5855i | 0.507360 | + | 0.878773i | 0.999964 | + | 0.00851907i | \(0.00271174\pi\) |
−0.492604 | + | 0.870254i | \(0.663955\pi\) | |||||||
\(240\) | 1.30196 | − | 1.14232i | 0.0840413 | − | 0.0737364i | ||||
\(241\) | −16.0118 | − | 9.24439i | −1.03141 | − | 0.595484i | −0.114020 | − | 0.993478i | \(-0.536373\pi\) |
−0.917388 | + | 0.397995i | \(0.869706\pi\) | |||||||
\(242\) | −8.95923 | − | 5.17262i | −0.575921 | − | 0.332508i | ||||
\(243\) | −8.64560 | + | 12.9713i | −0.554616 | + | 0.832107i | ||||
\(244\) | 1.93145i | 0.123649i | ||||||||
\(245\) | −0.675869 | − | 0.390213i | −0.0431797 | − | 0.0249298i | ||||
\(246\) | −3.65944 | − | 4.17086i | −0.233317 | − | 0.265924i | ||||
\(247\) | 25.7051i | 1.63558i | ||||||||
\(248\) | 0.290293 | − | 5.56019i | 0.0184336 | − | 0.353073i | ||||
\(249\) | 15.0817 | + | 17.1895i | 0.955766 | + | 1.08934i | ||||
\(250\) | 1.00000 | 0.0632456 | ||||||||
\(251\) | 9.51130 | − | 16.4741i | 0.600348 | − | 1.03983i | −0.392420 | − | 0.919786i | \(-0.628362\pi\) |
0.992768 | − | 0.120047i | \(-0.0383046\pi\) | |||||||
\(252\) | 0.973156 | − | 7.41816i | 0.0613031 | − | 0.467300i | ||||
\(253\) | −1.13909 | − | 1.97297i | −0.0716142 | − | 0.124039i | ||||
\(254\) | −4.60539 | + | 7.97677i | −0.288968 | + | 0.500507i | ||||
\(255\) | −2.28409 | − | 11.4691i | −0.143035 | − | 0.718226i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −5.42996 | + | 3.13499i | −0.338712 | + | 0.195555i | −0.659702 | − | 0.751527i | \(-0.729318\pi\) |
0.320991 | + | 0.947082i | \(0.395984\pi\) | |||||||
\(258\) | −3.38330 | + | 9.97441i | −0.210635 | + | 0.620980i | ||||
\(259\) | 9.83968 | − | 5.68094i | 0.611408 | − | 0.352997i | ||||
\(260\) | 1.85888 | − | 3.21968i | 0.115283 | − | 0.199676i | ||||
\(261\) | −27.1549 | + | 11.2625i | −1.68084 | + | 0.697133i | ||||
\(262\) | 8.05927 | − | 13.9591i | 0.497903 | − | 0.862394i | ||||
\(263\) | 20.0171 | 1.23431 | 0.617154 | − | 0.786842i | \(-0.288286\pi\) | ||||
0.617154 | + | 0.786842i | \(0.288286\pi\) | |||||||
\(264\) | 1.05352 | − | 0.924340i | 0.0648396 | − | 0.0568892i | ||||
\(265\) | 7.50615 | + | 4.33368i | 0.461099 | + | 0.266216i | ||||
\(266\) | −14.9330 | + | 8.62160i | −0.915604 | + | 0.528624i | ||||
\(267\) | 12.9686 | − | 2.58271i | 0.793666 | − | 0.158059i | ||||
\(268\) | −1.82612 | − | 3.16294i | −0.111548 | − | 0.193207i | ||||
\(269\) | −9.59437 | − | 16.6179i | −0.584979 | − | 1.01321i | −0.994878 | − | 0.101082i | \(-0.967769\pi\) |
0.409899 | − | 0.912131i | \(-0.365564\pi\) | |||||||
\(270\) | −4.66187 | − | 2.29499i | −0.283712 | − | 0.139669i | ||||
\(271\) | − | 28.6405i | − | 1.73979i | −0.493238 | − | 0.869895i | \(-0.664187\pi\) | ||
0.493238 | − | 0.869895i | \(-0.335813\pi\) | |||||||
\(272\) | 3.37588 | − | 5.84719i | 0.204693 | − | 0.354538i | ||||
\(273\) | −3.13660 | − | 15.7499i | −0.189836 | − | 0.953225i | ||||
\(274\) | −5.85786 | + | 3.38204i | −0.353886 | + | 0.204316i | ||||
\(275\) | 0.809178 | 0.0487953 | ||||||||
\(276\) | −4.78256 | + | 0.952451i | −0.287876 | + | 0.0573308i | ||||
\(277\) | − | 8.82263i | − | 0.530101i | −0.964235 | − | 0.265050i | \(-0.914611\pi\) | ||
0.964235 | − | 0.265050i | \(-0.0853886\pi\) | |||||||
\(278\) | −2.92120 | −0.175202 | ||||||||
\(279\) | −15.7416 | + | 5.58602i | −0.942422 | + | 0.334426i | ||||
\(280\) | 2.49391 | 0.149039 | ||||||||
\(281\) | 19.8789i | 1.18587i | 0.805249 | + | 0.592937i | \(0.202032\pi\) | ||||
−0.805249 | + | 0.592937i | \(0.797968\pi\) | |||||||
\(282\) | 21.0093 | − | 4.18403i | 1.25109 | − | 0.249155i | ||||
\(283\) | −9.93823 | −0.590766 | −0.295383 | − | 0.955379i | \(-0.595447\pi\) | ||||
−0.295383 | + | 0.955379i | \(0.595447\pi\) | |||||||
\(284\) | −5.69119 | + | 3.28581i | −0.337710 | + | 0.194977i | ||||
\(285\) | 2.33902 | + | 11.7450i | 0.138552 | + | 0.695712i | ||||
\(286\) | 1.50417 | − | 2.60529i | 0.0889432 | − | 0.154054i | ||||
\(287\) | − | 7.98927i | − | 0.471592i | ||||||
\(288\) | −1.14932 | − | 2.77111i | −0.0677245 | − | 0.163289i | ||||
\(289\) | −14.2931 | − | 24.7563i | −0.840769 | − | 1.45625i | ||||
\(290\) | −4.89964 | − | 8.48642i | −0.287717 | − | 0.498340i | ||||
\(291\) | −5.59455 | + | 1.11416i | −0.327959 | + | 0.0653133i | ||||
\(292\) | 11.0817 | − | 6.39801i | 0.648506 | − | 0.374415i | ||||
\(293\) | −9.24636 | − | 5.33839i | −0.540178 | − | 0.311872i | 0.204973 | − | 0.978768i | \(-0.434289\pi\) |
−0.745151 | + | 0.666896i | \(0.767623\pi\) | |||||||
\(294\) | −1.01609 | + | 0.891496i | −0.0592594 | + | 0.0519931i | ||||
\(295\) | 2.08975 | 0.121670 | ||||||||
\(296\) | 2.27793 | − | 3.94549i | 0.132402 | − | 0.229327i | ||||
\(297\) | −3.77228 | − | 1.85706i | −0.218890 | − | 0.107757i | ||||
\(298\) | 5.34064 | − | 9.25026i | 0.309375 | − | 0.535853i | ||||
\(299\) | −9.06479 | + | 5.23356i | −0.524230 | + | 0.302664i | ||||
\(300\) | 0.556373 | − | 1.64026i | 0.0321222 | − | 0.0947004i | ||||
\(301\) | −13.1337 | + | 7.58272i | −0.757012 | + | 0.437061i | ||||
\(302\) | −8.63402 | −0.496832 | ||||||||
\(303\) | −0.859608 | − | 4.31636i | −0.0493832 | − | 0.247969i | ||||
\(304\) | −3.45706 | + | 5.98781i | −0.198276 | + | 0.343425i | ||||
\(305\) | 0.965726 | + | 1.67269i | 0.0552973 | + | 0.0957777i | ||||
\(306\) | −20.0832 | − | 2.63462i | −1.14808 | − | 0.150611i | ||||
\(307\) | −13.6740 | + | 23.6841i | −0.780417 | + | 1.35172i | 0.151282 | + | 0.988491i | \(0.451660\pi\) |
−0.931699 | + | 0.363231i | \(0.881673\pi\) | |||||||
\(308\) | 2.01801 | 0.114987 | ||||||||
\(309\) | 7.44078 | + | 8.48065i | 0.423291 | + | 0.482448i | ||||
\(310\) | −2.52869 | − | 4.96041i | −0.143620 | − | 0.281733i | ||||
\(311\) | − | 21.7180i | − | 1.23151i | −0.787936 | − | 0.615757i | \(-0.788850\pi\) | ||
0.787936 | − | 0.615757i | \(-0.211150\pi\) | |||||||
\(312\) | −4.24687 | − | 4.84039i | −0.240432 | − | 0.274033i | ||||
\(313\) | −4.42410 | − | 2.55426i | −0.250065 | − | 0.144375i | 0.369729 | − | 0.929140i | \(-0.379451\pi\) |
−0.619794 | + | 0.784765i | \(0.712784\pi\) | |||||||
\(314\) | − | 14.3655i | − | 0.810691i | ||||||
\(315\) | −2.86630 | − | 6.91089i | −0.161498 | − | 0.389385i | ||||
\(316\) | 4.86732 | + | 2.81015i | 0.273808 | + | 0.158083i | ||||
\(317\) | 6.74277 | + | 3.89294i | 0.378711 | + | 0.218649i | 0.677257 | − | 0.735746i | \(-0.263168\pi\) |
−0.298546 | + | 0.954395i | \(0.596502\pi\) | |||||||
\(318\) | 11.2846 | − | 9.90088i | 0.632807 | − | 0.555214i | ||||
\(319\) | −3.96468 | − | 6.86702i | −0.221979 | − | 0.384480i | ||||
\(320\) | 0.866025 | − | 0.500000i | 0.0484123 | − | 0.0279508i | ||||
\(321\) | 2.52781 | + | 0.857429i | 0.141089 | + | 0.0478570i | ||||
\(322\) | −6.08074 | − | 3.51072i | −0.338866 | − | 0.195645i | ||||
\(323\) | 23.3412 | + | 40.4282i | 1.29874 | + | 2.24949i | ||||
\(324\) | −6.35812 | + | 6.36980i | −0.353229 | + | 0.353878i | ||||
\(325\) | − | 3.71776i | − | 0.206224i | ||||||
\(326\) | 12.7393i | 0.705564i | ||||||||
\(327\) | 33.1738 | − | 6.60660i | 1.83452 | − | 0.365346i | ||||
\(328\) | −1.60176 | − | 2.77433i | −0.0884423 | − | 0.153187i | ||||
\(329\) | 26.7121 | + | 15.4223i | 1.47269 | + | 0.850256i | ||||
\(330\) | 0.450205 | − | 1.32726i | 0.0247830 | − | 0.0730633i | ||||
\(331\) | −23.6410 | + | 13.6491i | −1.29943 | + | 0.750224i | −0.980305 | − | 0.197490i | \(-0.936721\pi\) |
−0.319121 | + | 0.947714i | \(0.603388\pi\) | |||||||
\(332\) | 6.60136 | + | 11.4339i | 0.362297 | + | 0.627517i | ||||
\(333\) | −13.5515 | − | 1.77776i | −0.742615 | − | 0.0974204i | ||||
\(334\) | −14.6480 | − | 8.45705i | −0.801505 | − | 0.462749i | ||||
\(335\) | −3.16294 | − | 1.82612i | −0.172810 | − | 0.0997718i | ||||
\(336\) | 1.38754 | − | 4.09065i | 0.0756967 | − | 0.223163i | ||||
\(337\) | 25.5446i | 1.39150i | 0.718282 | + | 0.695752i | \(0.244929\pi\) | ||||
−0.718282 | + | 0.695752i | \(0.755071\pi\) | |||||||
\(338\) | −0.711662 | − | 0.410878i | −0.0387093 | − | 0.0223488i | ||||
\(339\) | 9.37665 | − | 8.22691i | 0.509270 | − | 0.446824i | ||||
\(340\) | − | 6.75175i | − | 0.366165i | ||||||
\(341\) | −2.04616 | − | 4.01386i | −0.110806 | − | 0.217363i | ||||
\(342\) | 20.5662 | + | 2.69799i | 1.11209 | + | 0.145890i | ||||
\(343\) | −19.4037 | −1.04770 | ||||||||
\(344\) | −3.04050 | + | 5.26630i | −0.163933 | + | 0.283940i | ||||
\(345\) | −3.66559 | + | 3.21613i | −0.197349 | + | 0.173150i | ||||
\(346\) | 1.74770 | + | 3.02710i | 0.0939567 | + | 0.162738i | ||||
\(347\) | 2.48436 | − | 4.30303i | 0.133367 | − | 0.230999i | −0.791605 | − | 0.611033i | \(-0.790754\pi\) |
0.924973 | + | 0.380034i | \(0.124088\pi\) | |||||||
\(348\) | −16.6460 | + | 3.31506i | −0.892317 | + | 0.177706i | ||||
\(349\) | 17.2065 | 0.921042 | 0.460521 | − | 0.887649i | \(-0.347663\pi\) | ||||
0.460521 | + | 0.887649i | \(0.347663\pi\) | |||||||
\(350\) | 2.15979 | − | 1.24695i | 0.115445 | − | 0.0666525i | ||||
\(351\) | −8.53223 | + | 17.3317i | −0.455417 | + | 0.925099i | ||||
\(352\) | 0.700769 | − | 0.404589i | 0.0373511 | − | 0.0215647i | ||||
\(353\) | −3.34940 | + | 5.80134i | −0.178271 | + | 0.308774i | −0.941288 | − | 0.337604i | \(-0.890384\pi\) |
0.763018 | + | 0.646378i | \(0.223717\pi\) | |||||||
\(354\) | 1.16268 | − | 3.42773i | 0.0617958 | − | 0.182182i | ||||
\(355\) | −3.28581 | + | 5.69119i | −0.174393 | + | 0.302057i | ||||
\(356\) | 7.63447 | 0.404626 | ||||||||
\(357\) | −19.2346 | − | 21.9228i | −1.01801 | − | 1.16028i | ||||
\(358\) | 14.2485 | + | 8.22638i | 0.753057 | + | 0.434778i | ||||
\(359\) | −29.2825 | + | 16.9062i | −1.54547 | + | 0.892277i | −0.546990 | + | 0.837139i | \(0.684226\pi\) |
−0.998479 | + | 0.0551375i | \(0.982440\pi\) | |||||||
\(360\) | −2.38090 | − | 1.82519i | −0.125484 | − | 0.0961960i | ||||
\(361\) | −14.4026 | − | 24.9460i | −0.758031 | − | 1.31295i | ||||
\(362\) | −12.2731 | − | 21.2577i | −0.645062 | − | 1.11728i | ||||
\(363\) | −5.75581 | + | 16.9689i | −0.302102 | + | 0.890634i | ||||
\(364\) | − | 9.27175i | − | 0.485972i | ||||||
\(365\) | 6.39801 | − | 11.0817i | 0.334887 | − | 0.580042i | ||||
\(366\) | 3.28094 | − | 0.653403i | 0.171498 | − | 0.0341539i | ||||
\(367\) | 20.9805 | − | 12.1131i | 1.09517 | − | 0.632297i | 0.160223 | − | 0.987081i | \(-0.448779\pi\) |
0.934948 | + | 0.354784i | \(0.115445\pi\) | |||||||
\(368\) | −2.81543 | −0.146765 | ||||||||
\(369\) | −5.84703 | + | 7.62724i | −0.304384 | + | 0.397059i | ||||
\(370\) | − | 4.55586i | − | 0.236848i | ||||||
\(371\) | 21.6156 | 1.12222 | ||||||||
\(372\) | −9.54326 | + | 1.38787i | −0.494795 | + | 0.0719579i | ||||
\(373\) | 32.0372 | 1.65882 | 0.829410 | − | 0.558640i | \(-0.188677\pi\) | ||||
0.829410 | + | 0.558640i | \(0.188677\pi\) | |||||||
\(374\) | − | 5.46337i | − | 0.282504i | ||||||
\(375\) | −0.338296 | − | 1.69869i | −0.0174695 | − | 0.0877201i | ||||
\(376\) | 12.3679 | 0.637828 | ||||||||
\(377\) | −31.5505 | + | 18.2157i | −1.62493 | + | 0.938156i | ||||
\(378\) | −12.9304 | + | 0.856444i | −0.665067 | + | 0.0440507i | ||||
\(379\) | 7.80196 | − | 13.5134i | 0.400760 | − | 0.694137i | −0.593058 | − | 0.805160i | \(-0.702079\pi\) |
0.993818 | + | 0.111023i | \(0.0354128\pi\) | |||||||
\(380\) | 6.91413i | 0.354687i | ||||||||
\(381\) | 15.1081 | + | 5.12463i | 0.774009 | + | 0.262543i | ||||
\(382\) | 8.49247 | + | 14.7094i | 0.434512 | + | 0.752598i | ||||
\(383\) | −1.73505 | − | 3.00520i | −0.0886570 | − | 0.153558i | 0.818287 | − | 0.574810i | \(-0.194924\pi\) |
−0.906944 | + | 0.421252i | \(0.861591\pi\) | |||||||
\(384\) | −0.338296 | − | 1.69869i | −0.0172636 | − | 0.0866860i | ||||
\(385\) | 1.74765 | − | 1.00901i | 0.0890686 | − | 0.0514238i | ||||
\(386\) | 3.52201 | + | 2.03343i | 0.179266 | + | 0.103499i | ||||
\(387\) | 18.0880 | + | 2.37289i | 0.919466 | + | 0.120621i | ||||
\(388\) | −3.29345 | −0.167199 | ||||||||
\(389\) | −6.03620 | + | 10.4550i | −0.306048 | + | 0.530090i | −0.977494 | − | 0.210963i | \(-0.932340\pi\) |
0.671446 | + | 0.741053i | \(0.265673\pi\) | |||||||
\(390\) | −6.09809 | − | 2.06846i | −0.308789 | − | 0.104741i | ||||
\(391\) | −9.50456 | + | 16.4624i | −0.480666 | + | 0.832538i | ||||
\(392\) | −0.675869 | + | 0.390213i | −0.0341366 | + | 0.0197088i | ||||
\(393\) | −26.4386 | − | 8.96792i | −1.33365 | − | 0.452372i | ||||
\(394\) | 16.5295 | − | 9.54331i | 0.832744 | − | 0.480785i | ||||
\(395\) | 5.62030 | 0.282788 | ||||||||
\(396\) | −1.92657 | − | 1.47691i | −0.0968138 | − | 0.0742173i | ||||
\(397\) | −0.279618 | + | 0.484313i | −0.0140336 | + | 0.0243070i | −0.872957 | − | 0.487797i | \(-0.837801\pi\) |
0.858923 | + | 0.512104i | \(0.171134\pi\) | |||||||
\(398\) | 4.88669 | + | 8.46400i | 0.244948 | + | 0.424262i | ||||
\(399\) | 19.6972 | + | 22.4500i | 0.986095 | + | 1.12391i | ||||
\(400\) | 0.500000 | − | 0.866025i | 0.0250000 | − | 0.0433013i | ||||
\(401\) | 21.0608 | 1.05172 | 0.525862 | − | 0.850570i | \(-0.323743\pi\) | ||||
0.525862 | + | 0.850570i | \(0.323743\pi\) | |||||||
\(402\) | −4.75509 | + | 4.17203i | −0.237162 | + | 0.208082i | ||||
\(403\) | −18.4416 | + | 9.40109i | −0.918643 | + | 0.468301i | ||||
\(404\) | − | 2.54099i | − | 0.126419i | ||||||
\(405\) | −2.32139 | + | 8.69547i | −0.115351 | + | 0.432081i | ||||
\(406\) | −21.1643 | − | 12.2192i | −1.05037 | − | 0.606431i | ||||
\(407\) | − | 3.68650i | − | 0.182733i | ||||||
\(408\) | −11.0746 | − | 3.75649i | −0.548275 | − | 0.185974i | ||||
\(409\) | 2.71573 | + | 1.56793i | 0.134284 | + | 0.0775292i | 0.565637 | − | 0.824654i | \(-0.308630\pi\) |
−0.431353 | + | 0.902183i | \(0.641964\pi\) | |||||||
\(410\) | −2.77433 | − | 1.60176i | −0.137014 | − | 0.0791052i | ||||
\(411\) | 7.72673 | + | 8.80657i | 0.381132 | + | 0.434396i | ||||
\(412\) | 3.25687 | + | 5.64107i | 0.160455 | + | 0.277916i | ||||
\(413\) | 4.51342 | − | 2.60582i | 0.222091 | − | 0.128224i | ||||
\(414\) | 3.23584 | + | 7.80188i | 0.159033 | + | 0.383442i | ||||
\(415\) | 11.4339 | + | 6.60136i | 0.561268 | + | 0.324048i | ||||
\(416\) | −1.85888 | − | 3.21968i | −0.0911391 | − | 0.157858i | ||||
\(417\) | 0.988231 | + | 4.96222i | 0.0483939 | + | 0.243001i | ||||
\(418\) | 5.59476i | 0.273649i | ||||||||
\(419\) | 23.5226i | 1.14915i | 0.818451 | + | 0.574577i | \(0.194833\pi\) | ||||
−0.818451 | + | 0.574577i | \(0.805167\pi\) | |||||||
\(420\) | −0.843679 | − | 4.23638i | −0.0411673 | − | 0.206714i | ||||
\(421\) | 1.03198 | + | 1.78744i | 0.0502956 | + | 0.0871146i | 0.890077 | − | 0.455810i | \(-0.150650\pi\) |
−0.839782 | + | 0.542924i | \(0.817317\pi\) | |||||||
\(422\) | 17.6661 | + | 10.1995i | 0.859970 | + | 0.496504i | ||||
\(423\) | −14.2148 | − | 34.2730i | −0.691145 | − | 1.66641i | ||||
\(424\) | 7.50615 | − | 4.33368i | 0.364531 | − | 0.210462i | ||||
\(425\) | −3.37588 | − | 5.84719i | −0.163754 | − | 0.283630i | ||||
\(426\) | 7.50689 | + | 8.55601i | 0.363710 | + | 0.414540i | ||||
\(427\) | 4.17152 | + | 2.40843i | 0.201874 | + | 0.116552i | ||||
\(428\) | 1.33464 | + | 0.770553i | 0.0645121 | + | 0.0372461i | ||||
\(429\) | −4.93444 | − | 1.67375i | −0.238237 | − | 0.0808096i | ||||
\(430\) | 6.08100i | 0.293252i | ||||||||
\(431\) | −18.5818 | − | 10.7282i | −0.895055 | − | 0.516760i | −0.0194621 | − | 0.999811i | \(-0.506195\pi\) |
−0.875592 | + | 0.483051i | \(0.839529\pi\) | |||||||
\(432\) | −4.31845 | + | 2.88980i | −0.207772 | + | 0.139036i | ||||
\(433\) | 19.3965i | 0.932135i | 0.884749 | + | 0.466067i | \(0.154330\pi\) | ||||
−0.884749 | + | 0.466067i | \(0.845670\pi\) | |||||||
\(434\) | −11.6468 | − | 7.56027i | −0.559067 | − | 0.362905i | ||||
\(435\) | −12.7583 | + | 11.1939i | −0.611713 | + | 0.536706i | ||||
\(436\) | 19.5290 | 0.935271 | ||||||||
\(437\) | 9.73314 | − | 16.8583i | 0.465599 | − | 0.806441i | ||||
\(438\) | −14.6171 | − | 16.6599i | −0.698434 | − | 0.796043i | ||||
\(439\) | 6.34860 | + | 10.9961i | 0.303002 | + | 0.524815i | 0.976815 | − | 0.214087i | \(-0.0686777\pi\) |
−0.673812 | + | 0.738903i | \(0.735344\pi\) | |||||||
\(440\) | 0.404589 | − | 0.700769i | 0.0192880 | − | 0.0334078i | ||||
\(441\) | 1.85812 | + | 1.42443i | 0.0884817 | + | 0.0678299i | ||||
\(442\) | −25.1014 | −1.19395 | ||||||||
\(443\) | −13.0921 | + | 7.55872i | −0.622024 | + | 0.359126i | −0.777657 | − | 0.628689i | \(-0.783592\pi\) |
0.155633 | + | 0.987815i | \(0.450258\pi\) | |||||||
\(444\) | −7.47278 | − | 2.53476i | −0.354643 | − | 0.120294i | ||||
\(445\) | 6.61164 | − | 3.81723i | 0.313422 | − | 0.180954i | ||||
\(446\) | 10.0714 | − | 17.4442i | 0.476895 | − | 0.826006i | ||||
\(447\) | −17.5201 | − | 5.94278i | −0.828671 | − | 0.281084i | ||||
\(448\) | 1.24695 | − | 2.15979i | 0.0589130 | − | 0.102040i | ||||
\(449\) | 15.6070 | 0.736538 | 0.368269 | − | 0.929719i | \(-0.379951\pi\) | ||||
0.368269 | + | 0.929719i | \(0.379951\pi\) | |||||||
\(450\) | −2.97451 | − | 0.390213i | −0.140220 | − | 0.0183948i | ||||
\(451\) | −2.24492 | − | 1.29611i | −0.105709 | − | 0.0610313i | ||||
\(452\) | 6.23706 | − | 3.60097i | 0.293366 | − | 0.169375i | ||||
\(453\) | 2.92086 | + | 14.6665i | 0.137234 | + | 0.689094i | ||||
\(454\) | 10.9640 | + | 18.9901i | 0.514564 | + | 0.891251i | ||||
\(455\) | −4.63588 | − | 8.02957i | −0.217333 | − | 0.376432i | ||||
\(456\) | 11.3410 | + | 3.84683i | 0.531089 | + | 0.180145i | ||||
\(457\) | 7.87077i | 0.368179i | 0.982909 | + | 0.184089i | \(0.0589336\pi\) | ||||
−0.982909 | + | 0.184089i | \(0.941066\pi\) | |||||||
\(458\) | 11.2666 | − | 19.5144i | 0.526455 | − | 0.911846i | ||||
\(459\) | 2.31865 | + | 35.0064i | 0.108225 | + | 1.63396i | ||||
\(460\) | −2.43824 | + | 1.40772i | −0.113683 | + | 0.0656352i | ||||
\(461\) | −5.49791 | −0.256063 | −0.128032 | − | 0.991770i | \(-0.540866\pi\) | ||||
−0.128032 | + | 0.991770i | \(0.540866\pi\) | |||||||
\(462\) | −0.682687 | − | 3.42799i | −0.0317615 | − | 0.159484i | ||||
\(463\) | 25.9653i | 1.20671i | 0.797473 | + | 0.603354i | \(0.206170\pi\) | ||||
−0.797473 | + | 0.603354i | \(0.793830\pi\) | |||||||
\(464\) | −9.79927 | −0.454920 | ||||||||
\(465\) | −7.57077 | + | 5.97356i | −0.351086 | + | 0.277017i | ||||
\(466\) | −12.3700 | −0.573031 | ||||||||
\(467\) | − | 8.76334i | − | 0.405519i | −0.979229 | − | 0.202760i | \(-0.935009\pi\) | ||
0.979229 | − | 0.202760i | \(-0.0649910\pi\) | |||||||
\(468\) | −6.78563 | + | 8.85161i | −0.313666 | + | 0.409166i | ||||
\(469\) | −9.10837 | −0.420585 | ||||||||
\(470\) | 10.7110 | − | 6.18397i | 0.494059 | − | 0.285245i | ||||
\(471\) | −24.4025 | + | 4.85979i | −1.12441 | + | 0.223927i | ||||
\(472\) | 1.04488 | − | 1.80978i | 0.0480943 | − | 0.0833018i | ||||
\(473\) | 4.92061i | 0.226250i | ||||||||
\(474\) | 3.12698 | − | 9.21875i | 0.143627 | − | 0.423431i | ||||
\(475\) | 3.45706 | + | 5.98781i | 0.158621 | + | 0.274740i | ||||
\(476\) | −8.41912 | − | 14.5823i | −0.385890 | − | 0.668381i | ||||
\(477\) | −20.6361 | − | 15.8196i | −0.944861 | − | 0.724329i | ||||
\(478\) | 13.5855 | − | 7.84359i | 0.621386 | − | 0.358757i | ||||
\(479\) | −2.30224 | − | 1.32920i | −0.105192 | − | 0.0607327i | 0.446481 | − | 0.894793i | \(-0.352677\pi\) |
−0.551673 | + | 0.834060i | \(0.686010\pi\) | |||||||
\(480\) | −1.14232 | − | 1.30196i | −0.0521395 | − | 0.0594262i | ||||
\(481\) | −16.9376 | −0.772288 | ||||||||
\(482\) | −9.24439 | + | 16.0118i | −0.421071 | + | 0.729316i | ||||
\(483\) | −3.90654 | + | 11.5170i | −0.177754 | + | 0.524040i | ||||
\(484\) | −5.17262 | + | 8.95923i | −0.235119 | + | 0.407238i | ||||
\(485\) | −2.85221 | + | 1.64672i | −0.129512 | + | 0.0747739i | ||||
\(486\) | 12.9713 | + | 8.64560i | 0.588388 | + | 0.392173i | ||||
\(487\) | 13.2743 | − | 7.66391i | 0.601515 | − | 0.347285i | −0.168122 | − | 0.985766i | \(-0.553770\pi\) |
0.769637 | + | 0.638481i | \(0.220437\pi\) | |||||||
\(488\) | 1.93145 | 0.0874327 | ||||||||
\(489\) | 21.6401 | − | 4.30966i | 0.978601 | − | 0.194889i | ||||
\(490\) | −0.390213 | + | 0.675869i | −0.0176280 | + | 0.0305327i | ||||
\(491\) | 4.78641 | + | 8.29031i | 0.216008 | + | 0.374136i | 0.953584 | − | 0.301128i | \(-0.0973630\pi\) |
−0.737576 | + | 0.675264i | \(0.764030\pi\) | |||||||
\(492\) | −4.17086 | + | 3.65944i | −0.188037 | + | 0.164980i | ||||
\(493\) | −33.0811 | + | 57.2982i | −1.48990 | + | 2.58058i | ||||
\(494\) | 25.7051 | 1.15653 | ||||||||
\(495\) | −2.40691 | − | 0.315752i | −0.108183 | − | 0.0141920i | ||||
\(496\) | −5.56019 | − | 0.290293i | −0.249660 | − | 0.0130345i | ||||
\(497\) | 16.3890i | 0.735148i | ||||||||
\(498\) | 17.1895 | − | 15.0817i | 0.770278 | − | 0.675829i | ||||
\(499\) | 13.4829 | + | 7.78437i | 0.603578 | + | 0.348476i | 0.770448 | − | 0.637503i | \(-0.220033\pi\) |
−0.166870 | + | 0.985979i | \(0.553366\pi\) | |||||||
\(500\) | − | 1.00000i | − | 0.0447214i | ||||||
\(501\) | −9.41055 | + | 27.7435i | −0.420432 | + | 1.23949i | ||||
\(502\) | −16.4741 | − | 9.51130i | −0.735273 | − | 0.424510i | ||||
\(503\) | 2.15434 | + | 1.24381i | 0.0960572 | + | 0.0554587i | 0.547259 | − | 0.836963i | \(-0.315671\pi\) |
−0.451202 | + | 0.892422i | \(0.649005\pi\) | |||||||
\(504\) | −7.41816 | − | 0.973156i | −0.330431 | − | 0.0433478i | ||||
\(505\) | −1.27050 | − | 2.20056i | −0.0565363 | − | 0.0979238i | ||||
\(506\) | −1.97297 | + | 1.13909i | −0.0877091 | + | 0.0506389i | ||||
\(507\) | −0.457203 | + | 1.34789i | −0.0203051 | + | 0.0598621i | ||||
\(508\) | 7.97677 | + | 4.60539i | 0.353912 | + | 0.204331i | ||||
\(509\) | −1.88074 | − | 3.25754i | −0.0833624 | − | 0.144388i | 0.821330 | − | 0.570454i | \(-0.193233\pi\) |
−0.904692 | + | 0.426066i | \(0.859899\pi\) | |||||||
\(510\) | −11.4691 | + | 2.28409i | −0.507862 | + | 0.101141i | ||||
\(511\) | − | 31.9121i | − | 1.41171i | ||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −2.37441 | − | 35.8483i | −0.104833 | − | 1.58274i | ||||
\(514\) | 3.13499 | + | 5.42996i | 0.138278 | + | 0.239505i | ||||
\(515\) | 5.64107 | + | 3.25687i | 0.248575 | + | 0.143515i | ||||
\(516\) | 9.97441 | + | 3.38330i | 0.439099 | + | 0.148942i | ||||
\(517\) | 8.66707 | − | 5.00393i | 0.381177 | − | 0.220073i | ||||
\(518\) | −5.68094 | − | 9.83968i | −0.249606 | − | 0.432331i | ||||
\(519\) | 4.55087 | − | 3.99285i | 0.199761 | − | 0.175267i | ||||
\(520\) | −3.21968 | − | 1.85888i | −0.141192 | − | 0.0815173i | ||||
\(521\) | −22.4231 | − | 12.9460i | −0.982373 | − | 0.567173i | −0.0793869 | − | 0.996844i | \(-0.525296\pi\) |
−0.902986 | + | 0.429671i | \(0.858630\pi\) | |||||||
\(522\) | 11.2625 | + | 27.1549i | 0.492947 | + | 1.18854i | ||||
\(523\) | − | 36.8783i | − | 1.61258i | −0.591524 | − | 0.806288i | \(-0.701473\pi\) | ||
0.591524 | − | 0.806288i | \(-0.298527\pi\) | |||||||
\(524\) | −13.9591 | − | 8.05927i | −0.609805 | − | 0.352071i | ||||
\(525\) | −2.84884 | − | 3.24697i | −0.124333 | − | 0.141710i | ||||
\(526\) | − | 20.0171i | − | 0.872788i | ||||||
\(527\) | −20.4679 | + | 31.5315i | −0.891596 | + | 1.37353i | ||||
\(528\) | −0.924340 | − | 1.05352i | −0.0402267 | − | 0.0458486i | ||||
\(529\) | −15.0733 | −0.655362 | ||||||||
\(530\) | 4.33368 | − | 7.50615i | 0.188243 | − | 0.326046i | ||||
\(531\) | −6.21599 | − | 0.815449i | −0.269751 | − | 0.0353875i | ||||
\(532\) | 8.62160 | + | 14.9330i | 0.373794 | + | 0.647430i | ||||
\(533\) | −5.95496 | + | 10.3143i | −0.257938 | + | 0.446761i | ||||
\(534\) | −2.58271 | − | 12.9686i | −0.111765 | − | 0.561207i | ||||
\(535\) | 1.54111 | 0.0666278 | ||||||||
\(536\) | −3.16294 | + | 1.82612i | −0.136618 | + | 0.0788765i | ||||
\(537\) | 9.15388 | − | 26.9868i | 0.395019 | − | 1.16457i | ||||
\(538\) | −16.6179 | + | 9.59437i | −0.716450 | + | 0.413643i | ||||
\(539\) | −0.315752 | + | 0.546899i | −0.0136004 | + | 0.0235566i | ||||
\(540\) | −2.29499 | + | 4.66187i | −0.0987607 | + | 0.200615i | ||||
\(541\) | −12.5610 | + | 21.7562i | −0.540038 | + | 0.935374i | 0.458863 | + | 0.888507i | \(0.348257\pi\) |
−0.998901 | + | 0.0468666i | \(0.985076\pi\) | |||||||
\(542\) | −28.6405 | −1.23022 | ||||||||
\(543\) | −31.9584 | + | 28.0397i | −1.37146 | + | 1.20330i | ||||
\(544\) | −5.84719 | − | 3.37588i | −0.250696 | − | 0.144739i | ||||
\(545\) | 16.9126 | − | 9.76452i | 0.724458 | − | 0.418266i | ||||
\(546\) | −15.7499 | + | 3.13660i | −0.674032 | + | 0.134234i | ||||
\(547\) | −5.35576 | − | 9.27645i | −0.228996 | − | 0.396633i | 0.728515 | − | 0.685030i | \(-0.240211\pi\) |
−0.957511 | + | 0.288397i | \(0.906878\pi\) | |||||||
\(548\) | 3.38204 | + | 5.85786i | 0.144474 | + | 0.250235i | ||||
\(549\) | −2.21986 | − | 5.35227i | −0.0947413 | − | 0.228429i | ||||
\(550\) | − | 0.809178i | − | 0.0345035i | ||||||
\(551\) | 33.8767 | − | 58.6762i | 1.44320 | − | 2.49969i | ||||
\(552\) | 0.952451 | + | 4.78256i | 0.0405390 | + | 0.203559i | ||||
\(553\) | 12.1386 | − | 7.00825i | 0.516188 | − | 0.298021i | ||||
\(554\) | −8.82263 | −0.374838 | ||||||||
\(555\) | −7.73900 | + | 1.54123i | −0.328502 | + | 0.0654215i | ||||
\(556\) | 2.92120i | 0.123887i | ||||||||
\(557\) | 13.7761 | 0.583714 | 0.291857 | − | 0.956462i | \(-0.405727\pi\) | ||||
0.291857 | + | 0.956462i | \(0.405727\pi\) | |||||||
\(558\) | 5.58602 | + | 15.7416i | 0.236475 | + | 0.666393i | ||||
\(559\) | 22.6077 | 0.956204 | ||||||||
\(560\) | − | 2.49391i | − | 0.105387i | ||||||
\(561\) | −9.28058 | + | 1.84824i | −0.391827 | + | 0.0780326i | ||||
\(562\) | 19.8789 | 0.838540 | ||||||||
\(563\) | −13.3968 | + | 7.73462i | −0.564606 | + | 0.325976i | −0.754992 | − | 0.655734i | \(-0.772359\pi\) |
0.190386 | + | 0.981709i | \(0.439026\pi\) | |||||||
\(564\) | −4.18403 | − | 21.0093i | −0.176179 | − | 0.884653i | ||||
\(565\) | 3.60097 | − | 6.23706i | 0.151494 | − | 0.262395i | ||||
\(566\) | 9.93823i | 0.417735i | ||||||||
\(567\) | 5.82914 | + | 21.6750i | 0.244801 | + | 0.910265i | ||||
\(568\) | 3.28581 | + | 5.69119i | 0.137870 | + | 0.238797i | ||||
\(569\) | −20.6937 | − | 35.8426i | −0.867526 | − | 1.50260i | −0.864517 | − | 0.502604i | \(-0.832375\pi\) |
−0.00300954 | − | 0.999995i | \(-0.500958\pi\) | |||||||
\(570\) | 11.7450 | − | 2.33902i | 0.491943 | − | 0.0979709i | ||||
\(571\) | −12.9537 | + | 7.47880i | −0.542094 | + | 0.312978i | −0.745927 | − | 0.666027i | \(-0.767993\pi\) |
0.203833 | + | 0.979006i | \(0.434660\pi\) | |||||||
\(572\) | −2.60529 | − | 1.50417i | −0.108933 | − | 0.0628923i | ||||
\(573\) | 22.1137 | − | 19.4022i | 0.923815 | − | 0.810539i | ||||
\(574\) | −7.98927 | −0.333466 | ||||||||
\(575\) | −1.40772 | + | 2.43824i | −0.0587059 | + | 0.101682i | ||||
\(576\) | −2.77111 | + | 1.14932i | −0.115463 | + | 0.0478884i | ||||
\(577\) | 11.1680 | − | 19.3435i | 0.464929 | − | 0.805281i | −0.534269 | − | 0.845314i | \(-0.679413\pi\) |
0.999198 | + | 0.0400337i | \(0.0127465\pi\) | |||||||
\(578\) | −24.7563 | + | 14.2931i | −1.02973 | + | 0.594514i | ||||
\(579\) | 2.26269 | − | 6.67071i | 0.0940344 | − | 0.277225i | ||||
\(580\) | −8.48642 | + | 4.89964i | −0.352379 | + | 0.203446i | ||||
\(581\) | 32.9264 | 1.36602 | ||||||||
\(582\) | 1.11416 | + | 5.59455i | 0.0461835 | + | 0.231902i | ||||
\(583\) | 3.50672 | − | 6.07381i | 0.145233 | − | 0.251551i | ||||
\(584\) | −6.39801 | − | 11.0817i | −0.264752 | − | 0.458563i | ||||
\(585\) | −1.45072 | + | 11.0585i | −0.0599799 | + | 0.457214i | ||||
\(586\) | −5.33839 | + | 9.24636i | −0.220527 | + | 0.381964i | ||||
\(587\) | −27.0794 | −1.11769 | −0.558844 | − | 0.829273i | \(-0.688755\pi\) | ||||
−0.558844 | + | 0.829273i | \(0.688755\pi\) | |||||||
\(588\) | 0.891496 | + | 1.01609i | 0.0367647 | + | 0.0419027i | ||||
\(589\) | 20.9602 | − | 32.2898i | 0.863648 | − | 1.33048i | ||||
\(590\) | − | 2.08975i | − | 0.0860337i | ||||||
\(591\) | −21.8030 | − | 24.8501i | −0.896857 | − | 1.02220i | ||||
\(592\) | −3.94549 | − | 2.27793i | −0.162159 | − | 0.0936223i | ||||
\(593\) | − | 22.2163i | − | 0.912314i | −0.889899 | − | 0.456157i | \(-0.849226\pi\) | ||
0.889899 | − | 0.456157i | \(-0.150774\pi\) | |||||||
\(594\) | −1.85706 | + | 3.77228i | −0.0761959 | + | 0.154779i | ||||
\(595\) | −14.5823 | − | 8.41912i | −0.597818 | − | 0.345150i | ||||
\(596\) | −9.25026 | − | 5.34064i | −0.378906 | − | 0.218761i | ||||
\(597\) | 12.7246 | − | 11.1643i | 0.520783 | − | 0.456926i | ||||
\(598\) | 5.23356 | + | 9.06479i | 0.214016 | + | 0.370687i | ||||
\(599\) | 5.90993 | − | 3.41210i | 0.241473 | − | 0.139415i | −0.374381 | − | 0.927275i | \(-0.622145\pi\) |
0.615854 | + | 0.787861i | \(0.288811\pi\) | |||||||
\(600\) | −1.64026 | − | 0.556373i | −0.0669633 | − | 0.0227138i | ||||
\(601\) | 40.0780 | + | 23.1390i | 1.63482 | + | 0.943861i | 0.982579 | + | 0.185845i | \(0.0595023\pi\) |
0.652236 | + | 0.758016i | \(0.273831\pi\) | |||||||
\(602\) | 7.58272 | + | 13.1337i | 0.309049 | + | 0.535288i | ||||
\(603\) | 8.69563 | + | 6.66605i | 0.354113 | + | 0.271463i | ||||
\(604\) | 8.63402i | 0.351313i | ||||||||
\(605\) | 10.3452i | 0.420593i | ||||||||
\(606\) | −4.31636 | + | 0.859608i | −0.175340 | + | 0.0349192i | ||||
\(607\) | −3.26505 | − | 5.65523i | −0.132524 | − | 0.229539i | 0.792125 | − | 0.610359i | \(-0.208975\pi\) |
−0.924649 | + | 0.380821i | \(0.875642\pi\) | |||||||
\(608\) | 5.98781 | + | 3.45706i | 0.242838 | + | 0.140202i | ||||
\(609\) | −13.5969 | + | 40.0854i | −0.550975 | + | 1.62434i | ||||
\(610\) | 1.67269 | − | 0.965726i | 0.0677251 | − | 0.0391011i | ||||
\(611\) | −22.9905 | − | 39.8208i | −0.930098 | − | 1.61098i | ||||
\(612\) | −2.63462 | + | 20.0832i | −0.106498 | + | 0.811814i | ||||
\(613\) | 0.515169 | + | 0.297433i | 0.0208075 | + | 0.0120132i | 0.510368 | − | 0.859956i | \(-0.329509\pi\) |
−0.489560 | + | 0.871970i | \(0.662843\pi\) | |||||||
\(614\) | 23.6841 | + | 13.6740i | 0.955812 | + | 0.551838i | ||||
\(615\) | −1.78235 | + | 5.25460i | −0.0718713 | + | 0.211886i | ||||
\(616\) | − | 2.01801i | − | 0.0813081i | ||||||
\(617\) | −10.1336 | − | 5.85065i | −0.407964 | − | 0.235538i | 0.281950 | − | 0.959429i | \(-0.409019\pi\) |
−0.689915 | + | 0.723891i | \(0.742352\pi\) | |||||||
\(618\) | 8.48065 | − | 7.44078i | 0.341142 | − | 0.299312i | ||||
\(619\) | 21.4392i | 0.861712i | 0.902421 | + | 0.430856i | \(0.141788\pi\) | ||||
−0.902421 | + | 0.430856i | \(0.858212\pi\) | |||||||
\(620\) | −4.96041 | + | 2.52869i | −0.199215 | + | 0.101555i | ||||
\(621\) | 12.1583 | − | 8.13605i | 0.487897 | − | 0.326488i | ||||
\(622\) | −21.7180 | −0.870811 | ||||||||
\(623\) | 9.51983 | − | 16.4888i | 0.381404 | − | 0.660611i | ||||
\(624\) | −4.84039 | + | 4.24687i | −0.193771 | + | 0.170011i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −2.55426 | + | 4.42410i | −0.102089 | + | 0.176823i | ||||
\(627\) | 9.50378 | − | 1.89269i | 0.379544 | − | 0.0755866i | ||||
\(628\) | −14.3655 | −0.573245 | ||||||||
\(629\) | −26.6390 | + | 15.3800i | −1.06216 | + | 0.613241i | ||||
\(630\) | −6.91089 | + | 2.86630i | −0.275337 | + | 0.114196i | ||||
\(631\) | −3.87266 | + | 2.23588i | −0.154168 | + | 0.0890091i | −0.575100 | − | 0.818083i | \(-0.695037\pi\) |
0.420931 | + | 0.907093i | \(0.361703\pi\) | |||||||
\(632\) | 2.81015 | − | 4.86732i | 0.111782 | − | 0.193612i | ||||
\(633\) | 11.3495 | − | 33.4597i | 0.451101 | − | 1.32990i | ||||
\(634\) | 3.89294 | − | 6.74277i | 0.154608 | − | 0.267789i | ||||
\(635\) | 9.21078 | 0.365518 | ||||||||
\(636\) | −9.90088 | − | 11.2846i | −0.392596 | − | 0.447462i | ||||
\(637\) | 2.51272 | + | 1.45072i | 0.0995577 | + | 0.0574796i | ||||
\(638\) | −6.86702 | + | 3.96468i | −0.271868 | + | 0.156963i | ||||
\(639\) | 11.9945 | − | 15.6464i | 0.474494 | − | 0.618961i | ||||
\(640\) | −0.500000 | − | 0.866025i | −0.0197642 | − | 0.0342327i | ||||
\(641\) | −4.13241 | − | 7.15755i | −0.163221 | − | 0.282706i | 0.772801 | − | 0.634648i | \(-0.218855\pi\) |
−0.936022 | + | 0.351942i | \(0.885522\pi\) | |||||||
\(642\) | 0.857429 | − | 2.52781i | 0.0338400 | − | 0.0997648i | ||||
\(643\) | − | 28.5474i | − | 1.12580i | −0.826525 | − | 0.562901i | \(-0.809685\pi\) | ||
0.826525 | − | 0.562901i | \(-0.190315\pi\) | |||||||
\(644\) | −3.51072 | + | 6.08074i | −0.138342 | + | 0.239615i | ||||
\(645\) | 10.3297 | − | 2.05718i | 0.406733 | − | 0.0810013i | ||||
\(646\) | 40.4282 | − | 23.3412i | 1.59063 | − | 0.918349i | ||||
\(647\) | −13.2500 | −0.520910 | −0.260455 | − | 0.965486i | \(-0.583873\pi\) | ||||
−0.260455 | + | 0.965486i | \(0.583873\pi\) | |||||||
\(648\) | 6.36980 | + | 6.35812i | 0.250229 | + | 0.249770i | ||||
\(649\) | − | 1.69098i | − | 0.0663768i | ||||||
\(650\) | −3.71776 | −0.145823 | ||||||||
\(651\) | −8.90249 | + | 22.3420i | −0.348916 | + | 0.875653i | ||||
\(652\) | 12.7393 | 0.498909 | ||||||||
\(653\) | 12.9745i | 0.507731i | 0.967239 | + | 0.253866i | \(0.0817021\pi\) | ||||
−0.967239 | + | 0.253866i | \(0.918298\pi\) | |||||||
\(654\) | −6.60660 | − | 33.1738i | −0.258338 | − | 1.29720i | ||||
\(655\) | −16.1185 | −0.629803 | ||||||||
\(656\) | −2.77433 | + | 1.60176i | −0.108319 | + | 0.0625381i | ||||
\(657\) | −23.3552 | + | 30.4660i | −0.911173 | + | 1.18859i | ||||
\(658\) | 15.4223 | − | 26.7121i | 0.601222 | − | 1.04135i | ||||
\(659\) | 40.7903i | 1.58896i | 0.607287 | + | 0.794482i | \(0.292258\pi\) | ||||
−0.607287 | + | 0.794482i | \(0.707742\pi\) | |||||||
\(660\) | −1.32726 | − | 0.450205i | −0.0516636 | − | 0.0175242i | ||||
\(661\) | 17.1606 | + | 29.7231i | 0.667471 | + | 1.15609i | 0.978609 | + | 0.205730i | \(0.0659567\pi\) |
−0.311137 | + | 0.950365i | \(0.600710\pi\) | |||||||
\(662\) | 13.6491 | + | 23.6410i | 0.530488 | + | 0.918833i | ||||
\(663\) | 8.49171 | + | 42.6396i | 0.329791 | + | 1.65598i | ||||
\(664\) | 11.4339 | − | 6.60136i | 0.443721 | − | 0.256183i | ||||
\(665\) | 14.9330 | + | 8.62160i | 0.579079 | + | 0.334331i | ||||
\(666\) | −1.77776 | + | 13.5515i | −0.0688866 | + | 0.525108i | ||||
\(667\) | 27.5892 | 1.06826 | ||||||||
\(668\) | −8.45705 | + | 14.6480i | −0.327213 | + | 0.566749i | ||||
\(669\) | −33.0394 | − | 11.2069i | −1.27738 | − | 0.433284i | ||||
\(670\) | −1.82612 | + | 3.16294i | −0.0705493 | + | 0.122195i | ||||
\(671\) | 1.35350 | − | 0.781444i | 0.0522513 | − | 0.0301673i | ||||
\(672\) | −4.09065 | − | 1.38754i | −0.157800 | − | 0.0535256i | ||||
\(673\) | 18.3493 | − | 10.5940i | 0.707312 | − | 0.408367i | −0.102753 | − | 0.994707i | \(-0.532765\pi\) |
0.810065 | + | 0.586340i | \(0.199432\pi\) | |||||||
\(674\) | 25.5446 | 0.983942 | ||||||||
\(675\) | 0.343414 | + | 5.18479i | 0.0132180 | + | 0.199563i | ||||
\(676\) | −0.410878 | + | 0.711662i | −0.0158030 | + | 0.0273716i | ||||
\(677\) | 7.38824 | + | 12.7968i | 0.283953 | + | 0.491821i | 0.972355 | − | 0.233509i | \(-0.0750207\pi\) |
−0.688402 | + | 0.725330i | \(0.741687\pi\) | |||||||
\(678\) | −8.22691 | − | 9.37665i | −0.315952 | − | 0.360108i | ||||
\(679\) | −4.10678 | + | 7.11315i | −0.157604 | + | 0.272977i | ||||
\(680\) | −6.75175 | −0.258918 | ||||||||
\(681\) | 28.5493 | − | 25.0487i | 1.09401 | − | 0.959868i | ||||
\(682\) | −4.01386 | + | 2.04616i | −0.153699 | + | 0.0783517i | ||||
\(683\) | − | 23.7982i | − | 0.910615i | −0.890334 | − | 0.455307i | \(-0.849529\pi\) | ||
0.890334 | − | 0.455307i | \(-0.150471\pi\) | |||||||
\(684\) | 2.69799 | − | 20.5662i | 0.103160 | − | 0.786367i | ||||
\(685\) | 5.85786 | + | 3.38204i | 0.223817 | + | 0.129221i | ||||
\(686\) | 19.4037i | 0.740835i | ||||||||
\(687\) | −36.9603 | − | 12.5369i | −1.41013 | − | 0.478312i | ||||
\(688\) | 5.26630 | + | 3.04050i | 0.200776 | + | 0.115918i | ||||
\(689\) | −27.9061 | − | 16.1116i | −1.06314 | − | 0.613802i | ||||
\(690\) | 3.21613 | + | 3.66559i | 0.122436 | + | 0.139547i | ||||
\(691\) | −2.97015 | − | 5.14446i | −0.112990 | − | 0.195704i | 0.803984 | − | 0.594650i | \(-0.202709\pi\) |
−0.916974 | + | 0.398946i | \(0.869376\pi\) | |||||||
\(692\) | 3.02710 | − | 1.74770i | 0.115073 | − | 0.0664374i | ||||
\(693\) | −5.59214 | + | 2.31935i | −0.212428 | + | 0.0881048i | ||||
\(694\) | −4.30303 | − | 2.48436i | −0.163341 | − | 0.0943048i | ||||
\(695\) | 1.46060 | + | 2.52983i | 0.0554037 | + | 0.0959621i | ||||
\(696\) | 3.31506 | + | 16.6460i | 0.125657 | + | 0.630963i | ||||
\(697\) | 21.6293i | 0.819270i | ||||||||
\(698\) | − | 17.2065i | − | 0.651275i | ||||||
\(699\) | 4.18474 | + | 21.0129i | 0.158281 | + | 0.794781i | ||||
\(700\) | −1.24695 | − | 2.15979i | −0.0471304 | − | 0.0816323i | ||||
\(701\) | 6.52698 | + | 3.76835i | 0.246521 | + | 0.142329i | 0.618170 | − | 0.786044i | \(-0.287874\pi\) |
−0.371649 | + | 0.928373i | \(0.621208\pi\) | |||||||
\(702\) | 17.3317 | + | 8.53223i | 0.654144 | + | 0.322028i | ||||
\(703\) | 27.2796 | − | 15.7499i | 1.02887 | − | 0.594018i | ||||
\(704\) | −0.404589 | − | 0.700769i | −0.0152485 | − | 0.0264112i | ||||
\(705\) | −14.1281 | − | 16.1026i | −0.532097 | − | 0.606459i | ||||
\(706\) | 5.80134 | + | 3.34940i | 0.218336 | + | 0.126056i | ||||
\(707\) | −5.48800 | − | 3.16850i | −0.206398 | − | 0.119164i | ||||
\(708\) | −3.42773 | − | 1.16268i | −0.128822 | − | 0.0436962i | ||||
\(709\) | 33.4552i | 1.25644i | 0.778036 | + | 0.628219i | \(0.216216\pi\) | ||||
−0.778036 | + | 0.628219i | \(0.783784\pi\) | |||||||
\(710\) | 5.69119 | + | 3.28581i | 0.213587 | + | 0.123314i | ||||
\(711\) | −16.7177 | − | 2.19312i | −0.626961 | − | 0.0822483i | ||||
\(712\) | − | 7.63447i | − | 0.286114i | ||||||
\(713\) | 15.6544 | + | 0.817300i | 0.586260 | + | 0.0306081i | ||||
\(714\) | −21.9228 | + | 19.2346i | −0.820439 | + | 0.719839i | ||||
\(715\) | −3.00833 | −0.112505 | ||||||||
\(716\) | 8.22638 | − | 14.2485i | 0.307434 | − | 0.532492i | ||||
\(717\) | −17.9198 | − | 20.4241i | −0.669226 | − | 0.762753i | ||||
\(718\) | 16.9062 | + | 29.2825i | 0.630935 | + | 1.09281i | ||||
\(719\) | 14.7184 | − | 25.4930i | 0.548904 | − | 0.950729i | −0.449446 | − | 0.893307i | \(-0.648379\pi\) |
0.998350 | − | 0.0574219i | \(-0.0182880\pi\) | |||||||
\(720\) | −1.82519 | + | 2.38090i | −0.0680209 | + | 0.0887308i | ||||
\(721\) | 16.2447 | 0.604984 | ||||||||
\(722\) | −24.9460 | + | 14.4026i | −0.928394 | + | 0.536009i | ||||
\(723\) | 30.3264 | + | 10.2867i | 1.12785 | + | 0.382565i | ||||
\(724\) | −21.2577 | + | 12.2731i | −0.790037 | + | 0.456128i | ||||
\(725\) | −4.89964 | + | 8.48642i | −0.181968 | + | 0.315178i | ||||
\(726\) | 16.9689 | + | 5.75581i | 0.629773 | + | 0.213618i | ||||
\(727\) | 17.5950 | − | 30.4754i | 0.652562 | − | 1.13027i | −0.329938 | − | 0.944003i | \(-0.607028\pi\) |
0.982499 | − | 0.186267i | \(-0.0596390\pi\) | |||||||
\(728\) | −9.27175 | −0.343634 | ||||||||
\(729\) | 10.2981 | − | 24.9590i | 0.381411 | − | 0.924406i | ||||
\(730\) | −11.0817 | − | 6.39801i | −0.410151 | − | 0.236801i | ||||
\(731\) | 35.5567 | − | 20.5287i | 1.31511 | − | 0.759281i | ||||
\(732\) | −0.653403 | − | 3.28094i | −0.0241505 | − | 0.121267i | ||||
\(733\) | −18.3462 | − | 31.7765i | −0.677631 | − | 1.17369i | −0.975692 | − | 0.219145i | \(-0.929673\pi\) |
0.298061 | − | 0.954547i | \(-0.403660\pi\) | |||||||
\(734\) | −12.1131 | − | 20.9805i | −0.447102 | − | 0.774403i | ||||
\(735\) | 1.28010 | + | 0.434208i | 0.0472173 | + | 0.0160160i | ||||
\(736\) | 2.81543i | 0.103778i | ||||||||
\(737\) | −1.47766 | + | 2.55938i | −0.0544303 | + | 0.0942760i | ||||
\(738\) | 7.62724 | + | 5.84703i | 0.280763 | + | 0.215232i | ||||
\(739\) | −9.90837 | + | 5.72060i | −0.364485 | + | 0.210436i | −0.671047 | − | 0.741415i | \(-0.734155\pi\) |
0.306561 | + | 0.951851i | \(0.400822\pi\) | |||||||
\(740\) | −4.55586 | −0.167477 | ||||||||
\(741\) | −8.69593 | − | 43.6650i | −0.319453 | − | 1.60408i | ||||
\(742\) | − | 21.6156i | − | 0.793533i | ||||||
\(743\) | −36.0723 | −1.32337 | −0.661683 | − | 0.749784i | \(-0.730157\pi\) | ||||
−0.661683 | + | 0.749784i | \(0.730157\pi\) | |||||||
\(744\) | 1.38787 | + | 9.54326i | 0.0508819 | + | 0.349873i | ||||
\(745\) | −10.6813 | −0.391332 | ||||||||
\(746\) | − | 32.0372i | − | 1.17296i | ||||||
\(747\) | −31.4343 | − | 24.0975i | −1.15012 | − | 0.881682i | ||||
\(748\) | −5.46337 | −0.199761 | ||||||||
\(749\) | 3.32846 | − | 1.92169i | 0.121619 | − | 0.0702169i | ||||
\(750\) | −1.69869 | + | 0.338296i | −0.0620275 | + | 0.0123528i | ||||
\(751\) | 16.3290 | − | 28.2827i | 0.595854 | − | 1.03205i | −0.397572 | − | 0.917571i | \(-0.630147\pi\) |
0.993426 | − | 0.114478i | \(-0.0365196\pi\) | |||||||
\(752\) | − | 12.3679i | − | 0.451013i | ||||||
\(753\) | −10.5837 | + | 31.2020i | −0.385690 | + | 1.13706i | ||||
\(754\) | 18.2157 | + | 31.5505i | 0.663376 | + | 1.14900i | ||||
\(755\) | 4.31701 | + | 7.47728i | 0.157112 | + | 0.272126i | ||||
\(756\) | 0.856444 | + | 12.9304i | 0.0311486 | + | 0.470274i | ||||
\(757\) | −32.7695 | + | 18.9195i | −1.19103 | + | 0.687639i | −0.958539 | − | 0.284960i | \(-0.908020\pi\) |
−0.232487 | + | 0.972600i | \(0.574686\pi\) | |||||||
\(758\) | −13.5134 | − | 7.80196i | −0.490829 | − | 0.283380i | ||||
\(759\) | 2.60242 | + | 2.96612i | 0.0944618 | + | 0.107663i | ||||
\(760\) | 6.91413 | 0.250802 | ||||||||
\(761\) | −6.19120 | + | 10.7235i | −0.224431 | + | 0.388726i | −0.956149 | − | 0.292882i | \(-0.905386\pi\) |
0.731718 | + | 0.681608i | \(0.238719\pi\) | |||||||
\(762\) | 5.12463 | − | 15.1081i | 0.185646 | − | 0.547307i | ||||
\(763\) | 24.3518 | − | 42.1785i | 0.881594 | − | 1.52697i | ||||
\(764\) | 14.7094 | − | 8.49247i | 0.532167 | − | 0.307247i | ||||
\(765\) | 7.75994 | + | 18.7099i | 0.280561 | + | 0.676456i | ||||
\(766\) | −3.00520 | + | 1.73505i | −0.108582 | + | 0.0626900i | ||||
\(767\) | −7.76920 | −0.280530 | ||||||||
\(768\) | −1.69869 | + | 0.338296i | −0.0612963 | + | 0.0122072i | ||||
\(769\) | 18.8200 | − | 32.5972i | 0.678666 | − | 1.17548i | −0.296717 | − | 0.954965i | \(-0.595892\pi\) |
0.975383 | − | 0.220518i | \(-0.0707749\pi\) | |||||||
\(770\) | −1.00901 | − | 1.74765i | −0.0363621 | − | 0.0629810i | ||||
\(771\) | 8.16327 | − | 7.16231i | 0.293993 | − | 0.257944i | ||||
\(772\) | 2.03343 | − | 3.52201i | 0.0731848 | − | 0.126760i | ||||
\(773\) | −40.3903 | −1.45274 | −0.726368 | − | 0.687306i | \(-0.758793\pi\) | ||||
−0.726368 | + | 0.687306i | \(0.758793\pi\) | |||||||
\(774\) | 2.37289 | − | 18.0880i | 0.0852917 | − | 0.650160i | ||||
\(775\) | −3.03150 | + | 4.67012i | −0.108895 | + | 0.167756i | ||||
\(776\) | 3.29345i | 0.118228i | ||||||||
\(777\) | −14.7927 | + | 12.9789i | −0.530687 | + | 0.465615i | ||||
\(778\) | 10.4550 | + | 6.03620i | 0.374830 | + | 0.216408i | ||||
\(779\) | − | 22.1495i | − | 0.793589i | ||||||
\(780\) | −2.06846 | + | 6.09809i | −0.0740629 | + | 0.218347i | ||||
\(781\) | 4.60519 | + | 2.65881i | 0.164787 | + | 0.0951396i | ||||
\(782\) | 16.4624 | + | 9.50456i | 0.588693 | + | 0.339882i | ||||
\(783\) | 42.3177 | − | 28.3180i | 1.51231 | − | 1.01200i | ||||
\(784\) | 0.390213 | + | 0.675869i | 0.0139362 | + | 0.0241382i | ||||
\(785\) | −12.4409 | + | 7.18274i | −0.444034 | + | 0.256363i | ||||
\(786\) | −8.96792 | + | 26.4386i | −0.319875 | + | 0.943033i | ||||
\(787\) | 0.0309626 | + | 0.0178763i | 0.00110370 | + | 0.000637220i | 0.500552 | − | 0.865707i | \(-0.333130\pi\) |
−0.499448 | + | 0.866344i | \(0.666464\pi\) | |||||||
\(788\) | −9.54331 | − | 16.5295i | −0.339966 | − | 0.588839i | ||||
\(789\) | −34.0029 | + | 6.77171i | −1.21054 | + | 0.241079i | ||||
\(790\) | − | 5.62030i | − | 0.199961i | ||||||
\(791\) | − | 17.9610i | − | 0.638618i | ||||||
\(792\) | −1.47691 | + | 1.92657i | −0.0524795 | + | 0.0684577i | ||||
\(793\) | −3.59034 | − | 6.21865i | −0.127497 | − | 0.220831i | ||||
\(794\) | 0.484313 | + | 0.279618i | 0.0171876 | + | 0.00992328i | ||||
\(795\) | −14.2167 | − | 4.82228i | −0.504214 | − | 0.171029i | ||||
\(796\) | 8.46400 | − | 4.88669i | 0.299999 | − | 0.173204i | ||||
\(797\) | 7.42556 | + | 12.8614i | 0.263027 | + | 0.455576i | 0.967045 | − | 0.254606i | \(-0.0819459\pi\) |
−0.704018 | + | 0.710182i | \(0.748613\pi\) | |||||||
\(798\) | 22.4500 | − | 19.6972i | 0.794721 | − | 0.697275i | ||||
\(799\) | −72.3177 | − | 41.7526i | −2.55842 | − | 1.47710i | ||||
\(800\) | −0.866025 | − | 0.500000i | −0.0306186 | − | 0.0176777i | ||||
\(801\) | −21.1560 | + | 8.77446i | −0.747509 | + | 0.310030i | ||||
\(802\) | − | 21.0608i | − | 0.743681i | ||||||
\(803\) | −8.96705 | − | 5.17713i | −0.316440 | − | 0.182697i | ||||
\(804\) | 4.17203 | + | 4.75509i | 0.147136 | + | 0.167699i | ||||
\(805\) | 7.02143i | 0.247473i | ||||||||
\(806\) | 9.40109 | + | 18.4416i | 0.331139 | + | 0.649579i | ||||
\(807\) | 21.9197 | + | 24.9830i | 0.771609 | + | 0.879444i | ||||
\(808\) | −2.54099 | −0.0893918 | ||||||||
\(809\) | 13.0314 | − | 22.5710i | 0.458159 | − | 0.793555i | −0.540704 | − | 0.841213i | \(-0.681842\pi\) |
0.998864 | + | 0.0476574i | \(0.0151756\pi\) | |||||||
\(810\) | 8.69547 | + | 2.32139i | 0.305528 | + | 0.0815653i | ||||
\(811\) | −6.69971 | − | 11.6042i | −0.235258 | − | 0.407480i | 0.724089 | − | 0.689706i | \(-0.242260\pi\) |
−0.959348 | + | 0.282227i | \(0.908927\pi\) | |||||||
\(812\) | −12.2192 | + | 21.1643i | −0.428811 | + | 0.742723i | ||||
\(813\) | 9.68899 | + | 48.6515i | 0.339808 | + | 1.70628i | ||||
\(814\) | −3.68650 | −0.129212 | ||||||||
\(815\) | 11.0326 | − | 6.36965i | 0.386453 | − | 0.223119i | ||||
\(816\) | −3.75649 | + | 11.0746i | −0.131504 | + | 0.387689i | ||||
\(817\) | −36.4119 | + | 21.0224i | −1.27389 | + | 0.735481i | ||||
\(818\) | 1.56793 | − | 2.71573i | 0.0548214 | − | 0.0949534i | ||||
\(819\) | 10.6562 | + | 25.6931i | 0.372359 | + | 0.897788i | ||||
\(820\) | −1.60176 | + | 2.77433i | −0.0559358 | + | 0.0968837i | ||||
\(821\) | −36.2181 | −1.26402 | −0.632010 | − | 0.774960i | \(-0.717770\pi\) | ||||
−0.632010 | + | 0.774960i | \(0.717770\pi\) | |||||||
\(822\) | 8.80657 | − | 7.72673i | 0.307165 | − | 0.269501i | ||||
\(823\) | 26.7549 | + | 15.4469i | 0.932616 | + | 0.538446i | 0.887638 | − | 0.460542i | \(-0.152345\pi\) |
0.0449777 | + | 0.998988i | \(0.485678\pi\) | |||||||
\(824\) | 5.64107 | − | 3.25687i | 0.196516 | − | 0.113459i | ||||
\(825\) | −1.37454 | + | 0.273742i | −0.0478555 | + | 0.00953047i | ||||
\(826\) | −2.60582 | − | 4.51342i | −0.0906682 | − | 0.157042i | ||||
\(827\) | 26.1931 | + | 45.3677i | 0.910822 | + | 1.57759i | 0.812906 | + | 0.582396i | \(0.197884\pi\) |
0.0979165 | + | 0.995195i | \(0.468782\pi\) | |||||||
\(828\) | 7.80188 | − | 3.23584i | 0.271134 | − | 0.112453i | ||||
\(829\) | 14.6902i | 0.510212i | 0.966913 | + | 0.255106i | \(0.0821104\pi\) | ||||
−0.966913 | + | 0.255106i | \(0.917890\pi\) | |||||||
\(830\) | 6.60136 | − | 11.4339i | 0.229137 | − | 0.396876i | ||||
\(831\) | 2.98466 | + | 14.9869i | 0.103537 | + | 0.519891i | ||||
\(832\) | −3.21968 | + | 1.85888i | −0.111622 | + | 0.0644451i | ||||
\(833\) | 5.26925 | 0.182569 | ||||||||
\(834\) | 4.96222 | − | 0.988231i | 0.171828 | − | 0.0342196i | ||||
\(835\) | 16.9141i | 0.585336i | ||||||||
\(836\) | 5.59476 | 0.193499 | ||||||||
\(837\) | 24.8503 | − | 14.8142i | 0.858953 | − | 0.512055i | ||||
\(838\) | 23.5226 | 0.812575 | ||||||||
\(839\) | − | 19.2472i | − | 0.664489i | −0.943193 | − | 0.332244i | \(-0.892194\pi\) | ||
0.943193 | − | 0.332244i | \(-0.107806\pi\) | |||||||
\(840\) | −4.23638 | + | 0.843679i | −0.146169 | + | 0.0291097i | ||||
\(841\) | 67.0258 | 2.31123 | ||||||||
\(842\) | 1.78744 | − | 1.03198i | 0.0615993 | − | 0.0355644i | ||||
\(843\) | −6.72495 | − | 33.7681i | −0.231620 | − | 1.16304i | ||||
\(844\) | 10.1995 | − | 17.6661i | 0.351081 | − | 0.608091i | ||||
\(845\) | 0.821757i | 0.0282693i | ||||||||
\(846\) | −34.2730 | + | 14.2148i | −1.17833 | + | 0.488713i | ||||
\(847\) | 12.9000 | + | 22.3435i | 0.443250 | + | 0.767732i | ||||
\(848\) | −4.33368 | − | 7.50615i | −0.148819 | − | 0.257762i | ||||
\(849\) | 16.8820 | − | 3.36207i | 0.579389 | − | 0.115386i | ||||
\(850\) | −5.84719 | + | 3.37588i | −0.200557 | + | 0.115792i | ||||
\(851\) | 11.1083 | + | 6.41336i | 0.380786 | + | 0.219847i | ||||
\(852\) | 8.55601 | − | 7.50689i | 0.293124 | − | 0.257182i | ||||
\(853\) | 8.59614 | 0.294326 | 0.147163 | − | 0.989112i | \(-0.452986\pi\) | ||||
0.147163 | + | 0.989112i | \(0.452986\pi\) | |||||||
\(854\) | 2.40843 | − | 4.17152i | 0.0824148 | − | 0.142747i | ||||
\(855\) | −7.94656 | − | 19.1598i | −0.271767 | − | 0.655252i | ||||
\(856\) | 0.770553 | − | 1.33464i | 0.0263369 | − | 0.0456169i | ||||
\(857\) | 23.4587 | − | 13.5439i | 0.801334 | − | 0.462651i | −0.0426031 | − | 0.999092i | \(-0.513565\pi\) |
0.843938 | + | 0.536441i | \(0.180232\pi\) | |||||||
\(858\) | −1.67375 | + | 4.93444i | −0.0571410 | + | 0.168459i | ||||
\(859\) | 35.3811 | − | 20.4273i | 1.20719 | − | 0.696969i | 0.245042 | − | 0.969512i | \(-0.421198\pi\) |
0.962144 | + | 0.272543i | \(0.0878648\pi\) | |||||||
\(860\) | 6.08100 | 0.207360 | ||||||||
\(861\) | 2.70274 | + | 13.5713i | 0.0921091 | + | 0.462509i | ||||
\(862\) | −10.7282 | + | 18.5818i | −0.365404 | + | 0.632899i | ||||
\(863\) | 6.32948 | + | 10.9630i | 0.215458 | + | 0.373184i | 0.953414 | − | 0.301664i | \(-0.0975422\pi\) |
−0.737956 | + | 0.674849i | \(0.764209\pi\) | |||||||
\(864\) | 2.88980 | + | 4.31845i | 0.0983130 | + | 0.146917i | ||||
\(865\) | 1.74770 | − | 3.02710i | 0.0594235 | − | 0.102924i | ||||
\(866\) | 19.3965 | 0.659119 | ||||||||
\(867\) | 32.6545 | + | 37.2181i | 1.10901 | + | 1.26399i | ||||
\(868\) | −7.56027 | + | 11.6468i | −0.256612 | + | 0.395320i | ||||
\(869\) | − | 4.54782i | − | 0.154274i | ||||||
\(870\) | 11.1939 | + | 12.7583i | 0.379509 | + | 0.432546i | ||||
\(871\) | 11.7591 | + | 6.78909i | 0.398440 | + | 0.230040i | ||||
\(872\) | − | 19.5290i | − | 0.661336i | ||||||
\(873\) | 9.12651 | − | 3.78523i | 0.308886 | − | 0.128111i | ||||
\(874\) | −16.8583 | − | 9.73314i | −0.570240 | − | 0.329228i | ||||
\(875\) | −2.15979 | − | 1.24695i | −0.0730141 | − | 0.0421547i | ||||
\(876\) | −16.6599 | + | 14.6171i | −0.562887 | + | 0.493868i | ||||
\(877\) | −11.3521 | − | 19.6624i | −0.383333 | − | 0.663953i | 0.608203 | − | 0.793781i | \(-0.291891\pi\) |
−0.991536 | + | 0.129829i | \(0.958557\pi\) | |||||||
\(878\) | 10.9961 | − | 6.34860i | 0.371101 | − | 0.214255i | ||||
\(879\) | 17.5127 | + | 5.94027i | 0.590688 | + | 0.200360i | ||||
\(880\) | −0.700769 | − | 0.404589i | −0.0236229 | − | 0.0136387i | ||||
\(881\) | 25.4712 | + | 44.1175i | 0.858148 | + | 1.48636i | 0.873694 | + | 0.486476i | \(0.161718\pi\) |
−0.0155463 | + | 0.999879i | \(0.504949\pi\) | |||||||
\(882\) | 1.42443 | − | 1.85812i | 0.0479630 | − | 0.0625660i | ||||
\(883\) | 3.76099i | 0.126567i | 0.997996 | + | 0.0632837i | \(0.0201573\pi\) | ||||
−0.997996 | + | 0.0632837i | \(0.979843\pi\) | |||||||
\(884\) | 25.1014i | 0.844252i | ||||||||
\(885\) | −3.54984 | + | 0.706955i | −0.119327 | + | 0.0237640i | ||||
\(886\) | 7.55872 | + | 13.0921i | 0.253940 | + | 0.439837i | ||||
\(887\) | −8.62979 | − | 4.98241i | −0.289760 | − | 0.167293i | 0.348074 | − | 0.937467i | \(-0.386836\pi\) |
−0.637834 | + | 0.770174i | \(0.720169\pi\) | |||||||
\(888\) | −2.53476 | + | 7.47278i | −0.0850608 | + | 0.250770i | ||||
\(889\) | 19.8933 | − | 11.4854i | 0.667200 | − | 0.385208i | ||||
\(890\) | −3.81723 | − | 6.61164i | −0.127954 | − | 0.221623i | ||||
\(891\) | 7.03618 | + | 1.87842i | 0.235721 | + | 0.0629294i | ||||
\(892\) | −17.4442 | − | 10.0714i | −0.584074 | − | 0.337216i | ||||
\(893\) | 74.0569 | + | 42.7568i | 2.47822 | + | 1.43080i | ||||
\(894\) | −5.94278 | + | 17.5201i | −0.198756 | + | 0.585959i | ||||
\(895\) | − | 16.4528i | − | 0.549955i | ||||||
\(896\) | −2.15979 | − | 1.24695i | −0.0721534 | − | 0.0416578i | ||||
\(897\) | 13.6278 | − | 11.9568i | 0.455019 | − | 0.399226i | ||||
\(898\) | − | 15.6070i | − | 0.520811i | ||||||
\(899\) | 54.4858 | + | 2.84466i | 1.81720 | + | 0.0948747i | ||||
\(900\) | −0.390213 | + | 2.97451i | −0.0130071 | + | 0.0991505i | ||||
\(901\) | −58.5198 | −1.94958 | ||||||||
\(902\) | −1.29611 | + | 2.24492i | −0.0431557 | + | 0.0747478i | ||||
\(903\) | 19.7448 | − | 17.3238i | 0.657067 | − | 0.576499i | ||||
\(904\) | −3.60097 | − | 6.23706i | −0.119766 | − | 0.207441i | ||||
\(905\) | −12.2731 | + | 21.2577i | −0.407973 | + | 0.706630i | ||||
\(906\) | 14.6665 | − | 2.92086i | 0.487263 | − | 0.0970389i | ||||
\(907\) | 8.43562 | 0.280100 | 0.140050 | − | 0.990144i | \(-0.455274\pi\) | ||||
0.140050 | + | 0.990144i | \(0.455274\pi\) | |||||||
\(908\) | 18.9901 | − | 10.9640i | 0.630210 | − | 0.363852i | ||||
\(909\) | 2.92042 | + | 7.04137i | 0.0968642 | + | 0.233548i | ||||
\(910\) | −8.02957 | + | 4.63588i | −0.266178 | + | 0.153678i | ||||
\(911\) | −4.40644 | + | 7.63218i | −0.145992 | + | 0.252866i | −0.929743 | − | 0.368210i | \(-0.879971\pi\) |
0.783751 | + | 0.621076i | \(0.213304\pi\) | |||||||
\(912\) | 3.84683 | − | 11.3410i | 0.127381 | − | 0.375537i | ||||
\(913\) | 5.34168 | − | 9.25206i | 0.176784 | − | 0.306198i | ||||
\(914\) | 7.87077 | 0.260342 | ||||||||
\(915\) | −2.20633 | − | 2.51468i | −0.0729392 | − | 0.0831327i | ||||
\(916\) | −19.5144 | − | 11.2666i | −0.644773 | − | 0.372260i | ||||
\(917\) | −34.8126 | + | 20.0991i | −1.14961 | + | 0.663730i | ||||
\(918\) | 35.0064 | − | 2.31865i | 1.15538 | − | 0.0765268i | ||||
\(919\) | 18.2801 | + | 31.6620i | 0.603004 | + | 1.04443i | 0.992363 | + | 0.123348i | \(0.0393631\pi\) |
−0.389359 | + | 0.921086i | \(0.627304\pi\) | |||||||
\(920\) | 1.40772 | + | 2.43824i | 0.0464111 | + | 0.0803863i | ||||
\(921\) | 15.2157 | − | 44.8578i | 0.501374 | − | 1.47812i | ||||
\(922\) | 5.49791i | 0.181064i | ||||||||
\(923\) | 12.2159 | − | 21.1585i | 0.402090 | − | 0.696441i | ||||
\(924\) | −3.42799 | + | 0.682687i | −0.112772 | + | 0.0224587i | ||||
\(925\) | −3.94549 | + | 2.27793i | −0.129727 | + | 0.0748978i | ||||
\(926\) | 25.9653 | 0.853272 | ||||||||
\(927\) | −15.5086 | − | 11.8888i | −0.509368 | − | 0.390481i | ||||
\(928\) | 9.79927i | 0.321677i | ||||||||
\(929\) | 38.2432 | 1.25472 | 0.627360 | − | 0.778729i | \(-0.284135\pi\) | ||||
0.627360 | + | 0.778729i | \(0.284135\pi\) | |||||||
\(930\) | 5.97356 | + | 7.57077i | 0.195881 | + | 0.248255i | ||||
\(931\) | −5.39597 | −0.176846 | ||||||||
\(932\) | 12.3700i | 0.405194i | ||||||||
\(933\) | 7.34711 | + | 36.8922i | 0.240534 | + | 1.20780i | ||||
\(934\) | −8.76334 | −0.286745 | ||||||||
\(935\) | −4.73142 | + | 2.73168i | −0.154734 | + | 0.0893356i | ||||
\(936\) | 8.85161 | + | 6.78563i | 0.289324 | + | 0.221795i | ||||
\(937\) | 19.4594 | − | 33.7047i | 0.635712 | − | 1.10108i | −0.350652 | − | 0.936506i | \(-0.614040\pi\) |
0.986364 | − | 0.164579i | \(-0.0526266\pi\) | |||||||
\(938\) | 9.10837i | 0.297399i | ||||||||
\(939\) | 8.37928 | + | 2.84224i | 0.273448 | + | 0.0927530i | ||||
\(940\) | −6.18397 | − | 10.7110i | −0.201699 | − | 0.349353i | ||||
\(941\) | −4.49534 | − | 7.78615i | −0.146544 | − | 0.253821i | 0.783404 | − | 0.621513i | \(-0.213482\pi\) |
−0.929948 | + | 0.367691i | \(0.880148\pi\) | |||||||
\(942\) | 4.85979 | + | 24.4025i | 0.158341 | + | 0.795078i | ||||
\(943\) | 7.81093 | − | 4.50964i | 0.254359 | − | 0.146854i | ||||
\(944\) | −1.80978 | − | 1.04488i | −0.0589032 | − | 0.0340078i | ||||
\(945\) | 7.20690 | + | 10.7698i | 0.234440 | + | 0.350342i | ||||
\(946\) | 4.92061 | 0.159983 | ||||||||
\(947\) | −15.1424 | + | 26.2273i | −0.492061 | + | 0.852274i | −0.999958 | − | 0.00914336i | \(-0.997090\pi\) |
0.507897 | + | 0.861418i | \(0.330423\pi\) | |||||||
\(948\) | −9.21875 | − | 3.12698i | −0.299411 | − | 0.101560i | ||||
\(949\) | −23.7863 | + | 41.1991i | −0.772136 | + | 1.33738i | ||||
\(950\) | 5.98781 | − | 3.45706i | 0.194270 | − | 0.112162i | ||||
\(951\) | −12.7708 | − | 4.33185i | −0.414123 | − | 0.140470i | ||||
\(952\) | −14.5823 | + | 8.41912i | −0.472617 | + | 0.272865i | ||||
\(953\) | 24.3532 | 0.788876 | 0.394438 | − | 0.918922i | \(-0.370939\pi\) | ||||
0.394438 | + | 0.918922i | \(0.370939\pi\) | |||||||
\(954\) | −15.8196 | + | 20.6361i | −0.512178 | + | 0.668118i | ||||
\(955\) | 8.49247 | − | 14.7094i | 0.274810 | − | 0.475985i | ||||
\(956\) | −7.84359 | − | 13.5855i | −0.253680 | − | 0.439386i | ||||
\(957\) | 9.05786 | + | 10.3237i | 0.292799 | + | 0.333719i | ||||
\(958\) | −1.32920 | + | 2.30224i | −0.0429445 | + | 0.0743821i | ||||
\(959\) | 16.8690 | 0.544728 | ||||||||
\(960\) | −1.30196 | + | 1.14232i | −0.0420207 | + | 0.0368682i | ||||
\(961\) | 30.8315 | + | 3.22817i | 0.994563 | + | 0.104134i | ||||
\(962\) | 16.9376i | 0.546090i | ||||||||
\(963\) | −4.58404 | − | 0.601360i | −0.147719 | − | 0.0193785i | ||||
\(964\) | 16.0118 | + | 9.24439i | 0.515704 | + | 0.297742i | ||||
\(965\) | − | 4.06687i | − | 0.130917i | ||||||
\(966\) | 11.5170 | + | 3.90654i | 0.370552 | + | 0.125691i | ||||
\(967\) | −0.774386 | − | 0.447092i | −0.0249026 | − | 0.0143775i | 0.487497 | − | 0.873125i | \(-0.337910\pi\) |
−0.512400 | + | 0.858747i | \(0.671243\pi\) | |||||||
\(968\) | 8.95923 | + | 5.17262i | 0.287961 | + | 0.166254i | ||||
\(969\) | −53.3263 | − | 60.7788i | −1.71309 | − | 1.95250i | ||||
\(970\) | 1.64672 | + | 2.85221i | 0.0528731 | + | 0.0915789i | ||||
\(971\) | −50.4102 | + | 29.1043i | −1.61774 | + | 0.934002i | −0.630236 | + | 0.776403i | \(0.717042\pi\) |
−0.987503 | + | 0.157599i | \(0.949625\pi\) | |||||||
\(972\) | 8.64560 | − | 12.9713i | 0.277308 | − | 0.416053i | ||||
\(973\) | 6.30917 | + | 3.64260i | 0.202263 | + | 0.116776i | ||||
\(974\) | −7.66391 | − | 13.2743i | −0.245568 | − | 0.425336i | ||||
\(975\) | 1.25770 | + | 6.31533i | 0.0402788 | + | 0.202253i | ||||
\(976\) | − | 1.93145i | − | 0.0618243i | ||||||
\(977\) | 15.2487i | 0.487850i | 0.969794 | + | 0.243925i | \(0.0784351\pi\) | ||||
−0.969794 | + | 0.243925i | \(0.921565\pi\) | |||||||
\(978\) | −4.30966 | − | 21.6401i | −0.137808 | − | 0.691975i | ||||
\(979\) | −3.08882 | − | 5.35000i | −0.0987192 | − | 0.170987i | ||||
\(980\) | 0.675869 | + | 0.390213i | 0.0215899 | + | 0.0124649i | ||||
\(981\) | −54.1171 | + | 22.4452i | −1.72783 | + | 0.716619i | ||||
\(982\) | 8.29031 | − | 4.78641i | 0.264554 | − | 0.152741i | ||||
\(983\) | 4.94134 | + | 8.55865i | 0.157604 | + | 0.272978i | 0.934004 | − | 0.357262i | \(-0.116290\pi\) |
−0.776400 | + | 0.630240i | \(0.782956\pi\) | |||||||
\(984\) | 3.65944 | + | 4.17086i | 0.116659 | + | 0.132962i | ||||
\(985\) | −16.5295 | − | 9.54331i | −0.526674 | − | 0.304075i | ||||
\(986\) | 57.2982 | + | 33.0811i | 1.82475 | + | 1.05352i | ||||
\(987\) | −50.5930 | − | 17.1611i | −1.61039 | − | 0.546242i | ||||
\(988\) | − | 25.7051i | − | 0.817788i | ||||||
\(989\) | −14.8269 | − | 8.56033i | −0.471469 | − | 0.272203i | ||||
\(990\) | −0.315752 | + | 2.40691i | −0.0100353 | + | 0.0764967i | ||||
\(991\) | − | 36.2620i | − | 1.15190i | −0.817485 | − | 0.575950i | \(-0.804632\pi\) | ||
0.817485 | − | 0.575950i | \(-0.195368\pi\) | |||||||
\(992\) | −0.290293 | + | 5.56019i | −0.00921681 | + | 0.176536i | ||||
\(993\) | 35.5413 | − | 31.1833i | 1.12787 | − | 0.989573i | ||||
\(994\) | 16.3890 | 0.519828 | ||||||||
\(995\) | 4.88669 | − | 8.46400i | 0.154919 | − | 0.268327i | ||||
\(996\) | −15.0817 | − | 17.1895i | −0.477883 | − | 0.544669i | ||||
\(997\) | −13.8522 | − | 23.9927i | −0.438704 | − | 0.759857i | 0.558886 | − | 0.829244i | \(-0.311229\pi\) |
−0.997590 | + | 0.0693875i | \(0.977896\pi\) | |||||||
\(998\) | 7.78437 | − | 13.4829i | 0.246410 | − | 0.426794i | ||||
\(999\) | 23.6212 | − | 1.56455i | 0.747341 | − | 0.0495001i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 930.2.o.e.491.1 | yes | 40 | |
3.2 | odd | 2 | inner | 930.2.o.e.491.13 | yes | 40 | |
31.6 | odd | 6 | inner | 930.2.o.e.161.3 | ✓ | 40 | |
93.68 | even | 6 | inner | 930.2.o.e.161.11 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.o.e.161.3 | ✓ | 40 | 31.6 | odd | 6 | inner | |
930.2.o.e.161.11 | yes | 40 | 93.68 | even | 6 | inner | |
930.2.o.e.491.1 | yes | 40 | 1.1 | even | 1 | trivial | |
930.2.o.e.491.13 | yes | 40 | 3.2 | odd | 2 | inner |