Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(481,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.481");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 13 x^{10} - 9 x^{9} + 60 x^{8} + x^{7} + 263 x^{6} + 823 x^{5} + 1931 x^{4} + \cdots + 400 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 901.3 | ||
Root | \(1.01072 + 3.11068i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.901 |
Dual form | 930.2.n.d.481.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | − | 0.587785i | −0.572061 | − | 0.415627i | ||||
\(3\) | 0.809017 | − | 0.587785i | 0.467086 | − | 0.339358i | ||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | −1.00000 | −0.447214 | ||||||||
\(6\) | −1.00000 | −0.408248 | ||||||||
\(7\) | 0.624660 | + | 1.92251i | 0.236099 | + | 0.726639i | 0.996974 | + | 0.0777398i | \(0.0247703\pi\) |
−0.760874 | + | 0.648899i | \(0.775230\pi\) | |||||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | 0.309017 | − | 0.951057i | 0.103006 | − | 0.317019i | ||||
\(10\) | 0.809017 | + | 0.587785i | 0.255834 | + | 0.185874i | ||||
\(11\) | 1.08411 | + | 3.33653i | 0.326870 | + | 1.00600i | 0.970589 | + | 0.240741i | \(0.0773904\pi\) |
−0.643719 | + | 0.765262i | \(0.722610\pi\) | |||||||
\(12\) | 0.809017 | + | 0.587785i | 0.233543 | + | 0.169679i | ||||
\(13\) | 4.70338 | − | 3.41721i | 1.30448 | − | 0.947762i | 0.304494 | − | 0.952514i | \(-0.401513\pi\) |
0.999989 | + | 0.00475212i | \(0.00151265\pi\) | |||||||
\(14\) | 0.624660 | − | 1.92251i | 0.166947 | − | 0.513811i | ||||
\(15\) | −0.809017 | + | 0.587785i | −0.208887 | + | 0.151765i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −1.32044 | + | 4.06390i | −0.320254 | + | 0.985641i | 0.653283 | + | 0.757114i | \(0.273391\pi\) |
−0.973537 | + | 0.228528i | \(0.926609\pi\) | |||||||
\(18\) | −0.809017 | + | 0.587785i | −0.190687 | + | 0.138542i | ||||
\(19\) | −6.20740 | − | 4.50994i | −1.42407 | − | 1.03465i | −0.991082 | − | 0.133253i | \(-0.957458\pi\) |
−0.432993 | − | 0.901397i | \(-0.642542\pi\) | |||||||
\(20\) | −0.309017 | − | 0.951057i | −0.0690983 | − | 0.212663i | ||||
\(21\) | 1.63538 | + | 1.18817i | 0.356870 | + | 0.259281i | ||||
\(22\) | 1.08411 | − | 3.33653i | 0.231132 | − | 0.711351i | ||||
\(23\) | −2.75050 | + | 8.46516i | −0.573518 | + | 1.76511i | 0.0676514 | + | 0.997709i | \(0.478449\pi\) |
−0.641170 | + | 0.767399i | \(0.721551\pi\) | |||||||
\(24\) | −0.309017 | − | 0.951057i | −0.0630778 | − | 0.194134i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | −5.81370 | −1.14016 | ||||||||
\(27\) | −0.309017 | − | 0.951057i | −0.0594703 | − | 0.183031i | ||||
\(28\) | −1.63538 | + | 1.18817i | −0.309058 | + | 0.224544i | ||||
\(29\) | 5.98249 | + | 4.34653i | 1.11092 | + | 0.807130i | 0.982808 | − | 0.184629i | \(-0.0591085\pi\) |
0.128111 | + | 0.991760i | \(0.459108\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 5.18787 | + | 2.02138i | 0.931770 | + | 0.363050i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 2.83822 | + | 2.06209i | 0.494071 | + | 0.358964i | ||||
\(34\) | 3.45696 | − | 2.51163i | 0.592864 | − | 0.430741i | ||||
\(35\) | −0.624660 | − | 1.92251i | −0.105587 | − | 0.324963i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | −0.145898 | −0.0239855 | −0.0119927 | − | 0.999928i | \(-0.503818\pi\) | ||||
−0.0119927 | + | 0.999928i | \(0.503818\pi\) | |||||||
\(38\) | 2.37101 | + | 7.29723i | 0.384629 | + | 1.18377i | ||||
\(39\) | 1.79653 | − | 5.52915i | 0.287675 | − | 0.885373i | ||||
\(40\) | −0.309017 | + | 0.951057i | −0.0488599 | + | 0.150375i | ||||
\(41\) | 6.14962 | + | 4.46796i | 0.960409 | + | 0.697778i | 0.953246 | − | 0.302196i | \(-0.0977198\pi\) |
0.00716348 | + | 0.999974i | \(0.497720\pi\) | |||||||
\(42\) | −0.624660 | − | 1.92251i | −0.0963872 | − | 0.296649i | ||||
\(43\) | 5.10420 | + | 3.70842i | 0.778384 | + | 0.565529i | 0.904493 | − | 0.426487i | \(-0.140249\pi\) |
−0.126110 | + | 0.992016i | \(0.540249\pi\) | |||||||
\(44\) | −2.83822 | + | 2.06209i | −0.427878 | + | 0.310872i | ||||
\(45\) | −0.309017 | + | 0.951057i | −0.0460655 | + | 0.141775i | ||||
\(46\) | 7.20090 | − | 5.23176i | 1.06171 | − | 0.771381i | ||||
\(47\) | −0.715329 | + | 0.519717i | −0.104341 | + | 0.0758085i | −0.638733 | − | 0.769429i | \(-0.720541\pi\) |
0.534391 | + | 0.845237i | \(0.320541\pi\) | |||||||
\(48\) | −0.309017 | + | 0.951057i | −0.0446028 | + | 0.137273i | ||||
\(49\) | 2.35729 | − | 1.71267i | 0.336756 | − | 0.244667i | ||||
\(50\) | −0.809017 | − | 0.587785i | −0.114412 | − | 0.0831254i | ||||
\(51\) | 1.32044 | + | 4.06390i | 0.184899 | + | 0.569060i | ||||
\(52\) | 4.70338 | + | 3.41721i | 0.652241 | + | 0.473881i | ||||
\(53\) | 0.994498 | − | 3.06075i | 0.136605 | − | 0.420426i | −0.859231 | − | 0.511587i | \(-0.829058\pi\) |
0.995836 | + | 0.0911609i | \(0.0290577\pi\) | |||||||
\(54\) | −0.309017 | + | 0.951057i | −0.0420519 | + | 0.129422i | ||||
\(55\) | −1.08411 | − | 3.33653i | −0.146181 | − | 0.449898i | ||||
\(56\) | 2.02144 | 0.270127 | ||||||||
\(57\) | −7.67276 | −1.01628 | ||||||||
\(58\) | −2.28511 | − | 7.03283i | −0.300049 | − | 0.923456i | ||||
\(59\) | 1.97317 | − | 1.43359i | 0.256885 | − | 0.186638i | −0.451888 | − | 0.892075i | \(-0.649249\pi\) |
0.708773 | + | 0.705437i | \(0.249249\pi\) | |||||||
\(60\) | −0.809017 | − | 0.587785i | −0.104444 | − | 0.0758827i | ||||
\(61\) | −0.0928597 | −0.0118895 | −0.00594474 | − | 0.999982i | \(-0.501892\pi\) | ||||
−0.00594474 | + | 0.999982i | \(0.501892\pi\) | |||||||
\(62\) | −3.00894 | − | 4.68468i | −0.382136 | − | 0.594956i | ||||
\(63\) | 2.02144 | 0.254678 | ||||||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −4.70338 | + | 3.41721i | −0.583382 | + | 0.423852i | ||||
\(66\) | −1.08411 | − | 3.33653i | −0.133444 | − | 0.410699i | ||||
\(67\) | 0.403254 | 0.0492654 | 0.0246327 | − | 0.999697i | \(-0.492158\pi\) | ||||
0.0246327 | + | 0.999697i | \(0.492158\pi\) | |||||||
\(68\) | −4.27304 | −0.518182 | ||||||||
\(69\) | 2.75050 | + | 8.46516i | 0.331121 | + | 1.01909i | ||||
\(70\) | −0.624660 | + | 1.92251i | −0.0746612 | + | 0.229783i | ||||
\(71\) | 4.39294 | − | 13.5201i | 0.521346 | − | 1.60454i | −0.250084 | − | 0.968224i | \(-0.580458\pi\) |
0.771430 | − | 0.636314i | \(-0.219542\pi\) | |||||||
\(72\) | −0.809017 | − | 0.587785i | −0.0953436 | − | 0.0692712i | ||||
\(73\) | 2.11437 | + | 6.50737i | 0.247469 | + | 0.761630i | 0.995221 | + | 0.0976521i | \(0.0311333\pi\) |
−0.747752 | + | 0.663978i | \(0.768867\pi\) | |||||||
\(74\) | 0.118034 | + | 0.0857567i | 0.0137212 | + | 0.00996902i | ||||
\(75\) | 0.809017 | − | 0.587785i | 0.0934172 | − | 0.0678716i | ||||
\(76\) | 2.37101 | − | 7.29723i | 0.271974 | − | 0.837050i | ||||
\(77\) | −5.73731 | + | 4.16840i | −0.653827 | + | 0.475033i | ||||
\(78\) | −4.70338 | + | 3.41721i | −0.532553 | + | 0.386922i | ||||
\(79\) | −2.51888 | + | 7.75232i | −0.283396 | + | 0.872204i | 0.703478 | + | 0.710717i | \(0.251629\pi\) |
−0.986875 | + | 0.161488i | \(0.948371\pi\) | |||||||
\(80\) | 0.809017 | − | 0.587785i | 0.0904508 | − | 0.0657164i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | −2.34895 | − | 7.22931i | −0.259398 | − | 0.798344i | ||||
\(83\) | −11.2813 | − | 8.19631i | −1.23828 | − | 0.899662i | −0.240796 | − | 0.970576i | \(-0.577409\pi\) |
−0.997482 | + | 0.0709137i | \(0.977409\pi\) | |||||||
\(84\) | −0.624660 | + | 1.92251i | −0.0681560 | + | 0.209763i | ||||
\(85\) | 1.32044 | − | 4.06390i | 0.143222 | − | 0.440792i | ||||
\(86\) | −1.94963 | − | 6.00035i | −0.210234 | − | 0.647034i | ||||
\(87\) | 7.39476 | 0.792801 | ||||||||
\(88\) | 3.50824 | 0.373979 | ||||||||
\(89\) | 3.54332 | + | 10.9052i | 0.375591 | + | 1.15595i | 0.943079 | + | 0.332569i | \(0.107915\pi\) |
−0.567488 | + | 0.823382i | \(0.692085\pi\) | |||||||
\(90\) | 0.809017 | − | 0.587785i | 0.0852779 | − | 0.0619580i | ||||
\(91\) | 9.50761 | + | 6.90768i | 0.996669 | + | 0.724122i | ||||
\(92\) | −8.90080 | −0.927972 | ||||||||
\(93\) | 5.38521 | − | 1.41403i | 0.558421 | − | 0.146628i | ||||
\(94\) | 0.884195 | 0.0911977 | ||||||||
\(95\) | 6.20740 | + | 4.50994i | 0.636866 | + | 0.462710i | ||||
\(96\) | 0.809017 | − | 0.587785i | 0.0825700 | − | 0.0599906i | ||||
\(97\) | −1.14565 | − | 3.52596i | −0.116323 | − | 0.358007i | 0.875897 | − | 0.482498i | \(-0.160270\pi\) |
−0.992221 | + | 0.124491i | \(0.960270\pi\) | |||||||
\(98\) | −2.91377 | −0.294335 | ||||||||
\(99\) | 3.50824 | 0.352591 | ||||||||
\(100\) | 0.309017 | + | 0.951057i | 0.0309017 | + | 0.0951057i | ||||
\(101\) | 4.76095 | − | 14.6527i | 0.473732 | − | 1.45800i | −0.373928 | − | 0.927458i | \(-0.621989\pi\) |
0.847660 | − | 0.530540i | \(-0.178011\pi\) | |||||||
\(102\) | 1.32044 | − | 4.06390i | 0.130743 | − | 0.402386i | ||||
\(103\) | 3.11826 | + | 2.26555i | 0.307251 | + | 0.223231i | 0.730716 | − | 0.682681i | \(-0.239186\pi\) |
−0.423465 | + | 0.905913i | \(0.639186\pi\) | |||||||
\(104\) | −1.79653 | − | 5.52915i | −0.176164 | − | 0.542178i | ||||
\(105\) | −1.63538 | − | 1.18817i | −0.159597 | − | 0.115954i | ||||
\(106\) | −2.60363 | + | 1.89165i | −0.252887 | + | 0.183733i | ||||
\(107\) | −0.227946 | + | 0.701545i | −0.0220364 | + | 0.0678209i | −0.961470 | − | 0.274910i | \(-0.911352\pi\) |
0.939434 | + | 0.342731i | \(0.111352\pi\) | |||||||
\(108\) | 0.809017 | − | 0.587785i | 0.0778477 | − | 0.0565597i | ||||
\(109\) | 3.87416 | − | 2.81474i | 0.371077 | − | 0.269603i | −0.386580 | − | 0.922256i | \(-0.626344\pi\) |
0.757657 | + | 0.652652i | \(0.226344\pi\) | |||||||
\(110\) | −1.08411 | + | 3.33653i | −0.103365 | + | 0.318126i | ||||
\(111\) | −0.118034 | + | 0.0857567i | −0.0112033 | + | 0.00813967i | ||||
\(112\) | −1.63538 | − | 1.18817i | −0.154529 | − | 0.112272i | ||||
\(113\) | 2.09182 | + | 6.43797i | 0.196782 | + | 0.605633i | 0.999951 | + | 0.00988180i | \(0.00314553\pi\) |
−0.803169 | + | 0.595751i | \(0.796854\pi\) | |||||||
\(114\) | 6.20740 | + | 4.50994i | 0.581376 | + | 0.422394i | ||||
\(115\) | 2.75050 | − | 8.46516i | 0.256485 | − | 0.789380i | ||||
\(116\) | −2.28511 | + | 7.03283i | −0.212167 | + | 0.652982i | ||||
\(117\) | −1.79653 | − | 5.52915i | −0.166089 | − | 0.511170i | ||||
\(118\) | −2.43897 | −0.224526 | ||||||||
\(119\) | −8.63771 | −0.791817 | ||||||||
\(120\) | 0.309017 | + | 0.951057i | 0.0282093 | + | 0.0868192i | ||||
\(121\) | −1.05798 | + | 0.768667i | −0.0961800 | + | 0.0698788i | ||||
\(122\) | 0.0751251 | + | 0.0545816i | 0.00680151 | + | 0.00494158i | ||||
\(123\) | 7.60135 | 0.685390 | ||||||||
\(124\) | −0.319304 | + | 5.55860i | −0.0286743 | + | 0.499177i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −1.63538 | − | 1.18817i | −0.145691 | − | 0.105851i | ||||
\(127\) | −12.2786 | + | 8.92093i | −1.08955 | + | 0.791604i | −0.979323 | − | 0.202302i | \(-0.935158\pi\) |
−0.110227 | + | 0.993906i | \(0.535158\pi\) | |||||||
\(128\) | 0.309017 | + | 0.951057i | 0.0273135 | + | 0.0840623i | ||||
\(129\) | 6.30914 | 0.555489 | ||||||||
\(130\) | 5.81370 | 0.509895 | ||||||||
\(131\) | −0.608270 | − | 1.87206i | −0.0531448 | − | 0.163563i | 0.920961 | − | 0.389654i | \(-0.127405\pi\) |
−0.974106 | + | 0.226091i | \(0.927405\pi\) | |||||||
\(132\) | −1.08411 | + | 3.33653i | −0.0943592 | + | 0.290408i | ||||
\(133\) | 4.79287 | − | 14.7509i | 0.415595 | − | 1.27907i | ||||
\(134\) | −0.326240 | − | 0.237027i | −0.0281828 | − | 0.0204760i | ||||
\(135\) | 0.309017 | + | 0.951057i | 0.0265959 | + | 0.0818539i | ||||
\(136\) | 3.45696 | + | 2.51163i | 0.296432 | + | 0.215370i | ||||
\(137\) | −4.09593 | + | 2.97586i | −0.349939 | + | 0.254245i | −0.748843 | − | 0.662747i | \(-0.769390\pi\) |
0.398905 | + | 0.916992i | \(0.369390\pi\) | |||||||
\(138\) | 2.75050 | − | 8.46516i | 0.234138 | − | 0.720602i | ||||
\(139\) | 13.2361 | − | 9.61661i | 1.12267 | − | 0.815670i | 0.138061 | − | 0.990424i | \(-0.455913\pi\) |
0.984612 | + | 0.174753i | \(0.0559128\pi\) | |||||||
\(140\) | 1.63538 | − | 1.18817i | 0.138215 | − | 0.100419i | ||||
\(141\) | −0.273231 | + | 0.840919i | −0.0230102 | + | 0.0708182i | ||||
\(142\) | −11.5009 | + | 8.35587i | −0.965131 | + | 0.701209i | ||||
\(143\) | 16.5006 | + | 11.9884i | 1.37985 | + | 1.00252i | ||||
\(144\) | 0.309017 | + | 0.951057i | 0.0257514 | + | 0.0792547i | ||||
\(145\) | −5.98249 | − | 4.34653i | −0.496818 | − | 0.360960i | ||||
\(146\) | 2.11437 | − | 6.50737i | 0.174987 | − | 0.538554i | ||||
\(147\) | 0.900404 | − | 2.77116i | 0.0742641 | − | 0.228561i | ||||
\(148\) | −0.0450850 | − | 0.138757i | −0.00370596 | − | 0.0114058i | ||||
\(149\) | −17.4579 | −1.43021 | −0.715105 | − | 0.699017i | \(-0.753621\pi\) | ||||
−0.715105 | + | 0.699017i | \(0.753621\pi\) | |||||||
\(150\) | −1.00000 | −0.0816497 | ||||||||
\(151\) | 3.07424 | + | 9.46153i | 0.250178 | + | 0.769969i | 0.994742 | + | 0.102417i | \(0.0326576\pi\) |
−0.744564 | + | 0.667552i | \(0.767342\pi\) | |||||||
\(152\) | −6.20740 | + | 4.50994i | −0.503486 | + | 0.365804i | ||||
\(153\) | 3.45696 | + | 2.51163i | 0.279479 | + | 0.203053i | ||||
\(154\) | 7.09170 | 0.571466 | ||||||||
\(155\) | −5.18787 | − | 2.02138i | −0.416700 | − | 0.162361i | ||||
\(156\) | 5.81370 | 0.465468 | ||||||||
\(157\) | −17.9063 | − | 13.0097i | −1.42908 | − | 1.03829i | −0.990188 | − | 0.139744i | \(-0.955372\pi\) |
−0.438889 | − | 0.898541i | \(-0.644628\pi\) | |||||||
\(158\) | 6.59452 | − | 4.79120i | 0.524632 | − | 0.381167i | ||||
\(159\) | −0.994498 | − | 3.06075i | −0.0788688 | − | 0.242733i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −17.9925 | −1.41800 | ||||||||
\(162\) | 0.309017 | + | 0.951057i | 0.0242787 | + | 0.0747221i | ||||
\(163\) | −3.96793 | + | 12.2120i | −0.310792 | + | 0.956520i | 0.666660 | + | 0.745362i | \(0.267723\pi\) |
−0.977452 | + | 0.211158i | \(0.932277\pi\) | |||||||
\(164\) | −2.34895 | + | 7.22931i | −0.183422 | + | 0.564514i | ||||
\(165\) | −2.83822 | − | 2.06209i | −0.220955 | − | 0.160534i | ||||
\(166\) | 4.30906 | + | 13.2619i | 0.334448 | + | 1.02932i | ||||
\(167\) | −11.1771 | − | 8.12065i | −0.864911 | − | 0.628394i | 0.0643058 | − | 0.997930i | \(-0.479517\pi\) |
−0.929216 | + | 0.369536i | \(0.879517\pi\) | |||||||
\(168\) | 1.63538 | − | 1.18817i | 0.126172 | − | 0.0916696i | ||||
\(169\) | 6.42726 | − | 19.7811i | 0.494405 | − | 1.52162i | ||||
\(170\) | −3.45696 | + | 2.51163i | −0.265137 | + | 0.192633i | ||||
\(171\) | −6.20740 | + | 4.50994i | −0.474692 | + | 0.344884i | ||||
\(172\) | −1.94963 | + | 6.00035i | −0.148658 | + | 0.457522i | ||||
\(173\) | −2.48081 | + | 1.80241i | −0.188613 | + | 0.137035i | −0.678084 | − | 0.734984i | \(-0.737190\pi\) |
0.489472 | + | 0.872019i | \(0.337190\pi\) | |||||||
\(174\) | −5.98249 | − | 4.34653i | −0.453531 | − | 0.329510i | ||||
\(175\) | 0.624660 | + | 1.92251i | 0.0472199 | + | 0.145328i | ||||
\(176\) | −2.83822 | − | 2.06209i | −0.213939 | − | 0.155436i | ||||
\(177\) | 0.753684 | − | 2.31960i | 0.0566504 | − | 0.174352i | ||||
\(178\) | 3.54332 | − | 10.9052i | 0.265583 | − | 0.817381i | ||||
\(179\) | 3.76059 | + | 11.5739i | 0.281080 | + | 0.865075i | 0.987546 | + | 0.157328i | \(0.0502881\pi\) |
−0.706466 | + | 0.707747i | \(0.749712\pi\) | |||||||
\(180\) | −1.00000 | −0.0745356 | ||||||||
\(181\) | 10.6347 | 0.790472 | 0.395236 | − | 0.918580i | \(-0.370663\pi\) | ||||
0.395236 | + | 0.918580i | \(0.370663\pi\) | |||||||
\(182\) | −3.63158 | − | 11.1769i | −0.269191 | − | 0.828485i | ||||
\(183\) | −0.0751251 | + | 0.0545816i | −0.00555341 | + | 0.00403479i | ||||
\(184\) | 7.20090 | + | 5.23176i | 0.530857 | + | 0.385690i | ||||
\(185\) | 0.145898 | 0.0107266 | ||||||||
\(186\) | −5.18787 | − | 2.02138i | −0.380393 | − | 0.148215i | ||||
\(187\) | −14.9908 | −1.09624 | ||||||||
\(188\) | −0.715329 | − | 0.519717i | −0.0521707 | − | 0.0379042i | ||||
\(189\) | 1.63538 | − | 1.18817i | 0.118957 | − | 0.0864270i | ||||
\(190\) | −2.37101 | − | 7.29723i | −0.172011 | − | 0.529397i | ||||
\(191\) | 9.21926 | 0.667082 | 0.333541 | − | 0.942736i | \(-0.391756\pi\) | ||||
0.333541 | + | 0.942736i | \(0.391756\pi\) | |||||||
\(192\) | −1.00000 | −0.0721688 | ||||||||
\(193\) | 1.95257 | + | 6.00938i | 0.140549 | + | 0.432564i | 0.996412 | − | 0.0846380i | \(-0.0269734\pi\) |
−0.855863 | + | 0.517203i | \(0.826973\pi\) | |||||||
\(194\) | −1.14565 | + | 3.52596i | −0.0822531 | + | 0.253149i | ||||
\(195\) | −1.79653 | + | 5.52915i | −0.128652 | + | 0.395951i | ||||
\(196\) | 2.35729 | + | 1.71267i | 0.168378 | + | 0.122334i | ||||
\(197\) | 4.82206 | + | 14.8408i | 0.343558 | + | 1.05736i | 0.962351 | + | 0.271809i | \(0.0876217\pi\) |
−0.618794 | + | 0.785554i | \(0.712378\pi\) | |||||||
\(198\) | −2.83822 | − | 2.06209i | −0.201704 | − | 0.146546i | ||||
\(199\) | −19.6984 | + | 14.3117i | −1.39638 | + | 1.01453i | −0.401249 | + | 0.915969i | \(0.631424\pi\) |
−0.995131 | + | 0.0985602i | \(0.968576\pi\) | |||||||
\(200\) | 0.309017 | − | 0.951057i | 0.0218508 | − | 0.0672499i | ||||
\(201\) | 0.326240 | − | 0.237027i | 0.0230112 | − | 0.0167186i | ||||
\(202\) | −12.4643 | + | 9.05587i | −0.876987 | + | 0.637168i | ||||
\(203\) | −4.61921 | + | 14.2165i | −0.324205 | + | 0.997801i | ||||
\(204\) | −3.45696 | + | 2.51163i | −0.242036 | + | 0.175849i | ||||
\(205\) | −6.14962 | − | 4.46796i | −0.429508 | − | 0.312056i | ||||
\(206\) | −1.19107 | − | 3.66574i | −0.0829857 | − | 0.255404i | ||||
\(207\) | 7.20090 | + | 5.23176i | 0.500497 | + | 0.363632i | ||||
\(208\) | −1.79653 | + | 5.52915i | −0.124567 | + | 0.383378i | ||||
\(209\) | 8.31808 | − | 25.6004i | 0.575374 | − | 1.77082i | ||||
\(210\) | 0.624660 | + | 1.92251i | 0.0431056 | + | 0.132666i | ||||
\(211\) | 5.35935 | 0.368953 | 0.184476 | − | 0.982837i | \(-0.440941\pi\) | ||||
0.184476 | + | 0.982837i | \(0.440941\pi\) | |||||||
\(212\) | 3.21826 | 0.221031 | ||||||||
\(213\) | −4.39294 | − | 13.5201i | −0.300999 | − | 0.926381i | ||||
\(214\) | 0.596770 | − | 0.433579i | 0.0407944 | − | 0.0296388i | ||||
\(215\) | −5.10420 | − | 3.70842i | −0.348104 | − | 0.252912i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | −0.645454 | + | 11.2364i | −0.0438163 | + | 0.762776i | ||||
\(218\) | −4.78872 | −0.324333 | ||||||||
\(219\) | 5.53550 | + | 4.02178i | 0.374055 | + | 0.271767i | ||||
\(220\) | 2.83822 | − | 2.06209i | 0.191353 | − | 0.139026i | ||||
\(221\) | 7.67665 | + | 23.6263i | 0.516387 | + | 1.58928i | ||||
\(222\) | 0.145898 | 0.00979203 | ||||||||
\(223\) | −5.43761 | −0.364129 | −0.182065 | − | 0.983287i | \(-0.558278\pi\) | ||||
−0.182065 | + | 0.983287i | \(0.558278\pi\) | |||||||
\(224\) | 0.624660 | + | 1.92251i | 0.0417369 | + | 0.128453i | ||||
\(225\) | 0.309017 | − | 0.951057i | 0.0206011 | − | 0.0634038i | ||||
\(226\) | 2.09182 | − | 6.43797i | 0.139146 | − | 0.428247i | ||||
\(227\) | −9.60298 | − | 6.97698i | −0.637372 | − | 0.463078i | 0.221574 | − | 0.975144i | \(-0.428881\pi\) |
−0.858946 | + | 0.512065i | \(0.828881\pi\) | |||||||
\(228\) | −2.37101 | − | 7.29723i | −0.157024 | − | 0.483271i | ||||
\(229\) | 5.56558 | + | 4.04363i | 0.367784 | + | 0.267211i | 0.756291 | − | 0.654235i | \(-0.227009\pi\) |
−0.388507 | + | 0.921446i | \(0.627009\pi\) | |||||||
\(230\) | −7.20090 | + | 5.23176i | −0.474813 | + | 0.344972i | ||||
\(231\) | −2.19146 | + | 6.74461i | −0.144187 | + | 0.443763i | ||||
\(232\) | 5.98249 | − | 4.34653i | 0.392769 | − | 0.285364i | ||||
\(233\) | 0.274963 | − | 0.199772i | 0.0180134 | − | 0.0130875i | −0.578742 | − | 0.815511i | \(-0.696456\pi\) |
0.596756 | + | 0.802423i | \(0.296456\pi\) | |||||||
\(234\) | −1.79653 | + | 5.52915i | −0.117443 | + | 0.361452i | ||||
\(235\) | 0.715329 | − | 0.519717i | 0.0466629 | − | 0.0339026i | ||||
\(236\) | 1.97317 | + | 1.43359i | 0.128442 | + | 0.0933189i | ||||
\(237\) | 2.51888 | + | 7.75232i | 0.163619 | + | 0.503567i | ||||
\(238\) | 6.98805 | + | 5.07712i | 0.452968 | + | 0.329101i | ||||
\(239\) | 8.28620 | − | 25.5023i | 0.535990 | − | 1.64961i | −0.205510 | − | 0.978655i | \(-0.565885\pi\) |
0.741500 | − | 0.670953i | \(-0.234115\pi\) | |||||||
\(240\) | 0.309017 | − | 0.951057i | 0.0199470 | − | 0.0613904i | ||||
\(241\) | −7.45067 | − | 22.9308i | −0.479940 | − | 1.47710i | −0.839178 | − | 0.543857i | \(-0.816963\pi\) |
0.359238 | − | 0.933246i | \(-0.383037\pi\) | |||||||
\(242\) | 1.30773 | 0.0840644 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −0.0286952 | − | 0.0883149i | −0.00183702 | − | 0.00565378i | ||||
\(245\) | −2.35729 | + | 1.71267i | −0.150602 | + | 0.109419i | ||||
\(246\) | −6.14962 | − | 4.46796i | −0.392085 | − | 0.284867i | ||||
\(247\) | −44.6071 | −2.83828 | ||||||||
\(248\) | 3.52559 | − | 4.30932i | 0.223875 | − | 0.273642i | ||||
\(249\) | −13.9444 | −0.883690 | ||||||||
\(250\) | 0.809017 | + | 0.587785i | 0.0511667 | + | 0.0371748i | ||||
\(251\) | −14.4997 | + | 10.5347i | −0.915215 | + | 0.664942i | −0.942328 | − | 0.334690i | \(-0.891368\pi\) |
0.0271136 | + | 0.999632i | \(0.491368\pi\) | |||||||
\(252\) | 0.624660 | + | 1.92251i | 0.0393499 | + | 0.121107i | ||||
\(253\) | −31.2261 | −1.96317 | ||||||||
\(254\) | 15.1772 | 0.952301 | ||||||||
\(255\) | −1.32044 | − | 4.06390i | −0.0826893 | − | 0.254491i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 7.25010 | − | 22.3135i | 0.452249 | − | 1.39188i | −0.422086 | − | 0.906556i | \(-0.638702\pi\) |
0.874335 | − | 0.485323i | \(-0.161298\pi\) | |||||||
\(258\) | −5.10420 | − | 3.70842i | −0.317774 | − | 0.230876i | ||||
\(259\) | −0.0911367 | − | 0.280490i | −0.00566296 | − | 0.0174288i | ||||
\(260\) | −4.70338 | − | 3.41721i | −0.291691 | − | 0.211926i | ||||
\(261\) | 5.98249 | − | 4.34653i | 0.370307 | − | 0.269043i | ||||
\(262\) | −0.608270 | + | 1.87206i | −0.0375791 | + | 0.115656i | ||||
\(263\) | −21.8210 | + | 15.8539i | −1.34554 | + | 0.977591i | −0.346318 | + | 0.938117i | \(0.612568\pi\) |
−0.999221 | + | 0.0394742i | \(0.987432\pi\) | |||||||
\(264\) | 2.83822 | − | 2.06209i | 0.174681 | − | 0.126913i | ||||
\(265\) | −0.994498 | + | 3.06075i | −0.0610915 | + | 0.188020i | ||||
\(266\) | −12.5479 | + | 9.11658i | −0.769361 | + | 0.558973i | ||||
\(267\) | 9.27653 | + | 6.73980i | 0.567715 | + | 0.412469i | ||||
\(268\) | 0.124612 | + | 0.383518i | 0.00761192 | + | 0.0234271i | ||||
\(269\) | −21.5191 | − | 15.6346i | −1.31204 | − | 0.953256i | −0.999995 | − | 0.00319080i | \(-0.998984\pi\) |
−0.312050 | − | 0.950066i | \(-0.601016\pi\) | |||||||
\(270\) | 0.309017 | − | 0.951057i | 0.0188062 | − | 0.0578795i | ||||
\(271\) | 5.79493 | − | 17.8350i | 0.352017 | − | 1.08340i | −0.605702 | − | 0.795692i | \(-0.707108\pi\) |
0.957719 | − | 0.287706i | \(-0.0928925\pi\) | |||||||
\(272\) | −1.32044 | − | 4.06390i | −0.0800636 | − | 0.246410i | ||||
\(273\) | 11.7521 | 0.711267 | ||||||||
\(274\) | 5.06284 | 0.305858 | ||||||||
\(275\) | 1.08411 | + | 3.33653i | 0.0653740 | + | 0.201200i | ||||
\(276\) | −7.20090 | + | 5.23176i | −0.433443 | + | 0.314915i | ||||
\(277\) | −10.4771 | − | 7.61203i | −0.629505 | − | 0.457362i | 0.226723 | − | 0.973959i | \(-0.427199\pi\) |
−0.856229 | + | 0.516597i | \(0.827199\pi\) | |||||||
\(278\) | −16.3608 | −0.981253 | ||||||||
\(279\) | 3.52559 | − | 4.30932i | 0.211071 | − | 0.257992i | ||||
\(280\) | −2.02144 | −0.120804 | ||||||||
\(281\) | −12.0933 | − | 8.78629i | −0.721425 | − | 0.524146i | 0.165414 | − | 0.986224i | \(-0.447104\pi\) |
−0.886839 | + | 0.462078i | \(0.847104\pi\) | |||||||
\(282\) | 0.715329 | − | 0.519717i | 0.0425972 | − | 0.0309487i | ||||
\(283\) | −4.34891 | − | 13.3846i | −0.258516 | − | 0.795631i | −0.993117 | − | 0.117131i | \(-0.962630\pi\) |
0.734600 | − | 0.678500i | \(-0.237370\pi\) | |||||||
\(284\) | 14.2159 | 0.843556 | ||||||||
\(285\) | 7.67276 | 0.454495 | ||||||||
\(286\) | −6.30266 | − | 19.3976i | −0.372684 | − | 1.14700i | ||||
\(287\) | −4.74826 | + | 14.6136i | −0.280281 | + | 0.862616i | ||||
\(288\) | 0.309017 | − | 0.951057i | 0.0182090 | − | 0.0560415i | ||||
\(289\) | −1.01845 | − | 0.739945i | −0.0599086 | − | 0.0435262i | ||||
\(290\) | 2.28511 | + | 7.03283i | 0.134186 | + | 0.412982i | ||||
\(291\) | −2.99936 | − | 2.17916i | −0.175826 | − | 0.127745i | ||||
\(292\) | −5.53550 | + | 4.02178i | −0.323941 | + | 0.235357i | ||||
\(293\) | 3.93551 | − | 12.1123i | 0.229915 | − | 0.707605i | −0.767840 | − | 0.640641i | \(-0.778669\pi\) |
0.997755 | − | 0.0669643i | \(-0.0213314\pi\) | |||||||
\(294\) | −2.35729 | + | 1.71267i | −0.137480 | + | 0.0998850i | ||||
\(295\) | −1.97317 | + | 1.43359i | −0.114882 | + | 0.0834670i | ||||
\(296\) | −0.0450850 | + | 0.138757i | −0.00262051 | + | 0.00806510i | ||||
\(297\) | 2.83822 | − | 2.06209i | 0.164690 | − | 0.119655i | ||||
\(298\) | 14.1238 | + | 10.2615i | 0.818168 | + | 0.594434i | ||||
\(299\) | 15.9906 | + | 49.2139i | 0.924758 | + | 2.84611i | ||||
\(300\) | 0.809017 | + | 0.587785i | 0.0467086 | + | 0.0339358i | ||||
\(301\) | −3.94107 | + | 12.1294i | −0.227159 | + | 0.699125i | ||||
\(302\) | 3.07424 | − | 9.46153i | 0.176903 | − | 0.544450i | ||||
\(303\) | −4.76095 | − | 14.6527i | −0.273509 | − | 0.841776i | ||||
\(304\) | 7.67276 | 0.440063 | ||||||||
\(305\) | 0.0928597 | 0.00531713 | ||||||||
\(306\) | −1.32044 | − | 4.06390i | −0.0754846 | − | 0.232318i | ||||
\(307\) | 2.99998 | − | 2.17961i | 0.171218 | − | 0.124397i | −0.498876 | − | 0.866673i | \(-0.666254\pi\) |
0.670094 | + | 0.742276i | \(0.266254\pi\) | |||||||
\(308\) | −5.73731 | − | 4.16840i | −0.326913 | − | 0.237517i | ||||
\(309\) | 3.85438 | 0.219268 | ||||||||
\(310\) | 3.00894 | + | 4.68468i | 0.170896 | + | 0.266072i | ||||
\(311\) | −21.4168 | −1.21443 | −0.607217 | − | 0.794536i | \(-0.707714\pi\) | ||||
−0.607217 | + | 0.794536i | \(0.707714\pi\) | |||||||
\(312\) | −4.70338 | − | 3.41721i | −0.266276 | − | 0.193461i | ||||
\(313\) | 26.4825 | − | 19.2407i | 1.49688 | − | 1.08755i | 0.525279 | − | 0.850930i | \(-0.323961\pi\) |
0.971603 | − | 0.236618i | \(-0.0760391\pi\) | |||||||
\(314\) | 6.83959 | + | 21.0501i | 0.385980 | + | 1.18793i | ||||
\(315\) | −2.02144 | −0.113895 | ||||||||
\(316\) | −8.15127 | −0.458545 | ||||||||
\(317\) | −7.54980 | − | 23.2359i | −0.424039 | − | 1.30506i | −0.903911 | − | 0.427720i | \(-0.859317\pi\) |
0.479872 | − | 0.877339i | \(-0.340683\pi\) | |||||||
\(318\) | −0.994498 | + | 3.06075i | −0.0557687 | + | 0.171638i | ||||
\(319\) | −8.01670 | + | 24.6729i | −0.448849 | + | 1.38141i | ||||
\(320\) | 0.809017 | + | 0.587785i | 0.0452254 | + | 0.0328582i | ||||
\(321\) | 0.227946 | + | 0.701545i | 0.0127227 | + | 0.0391564i | ||||
\(322\) | 14.5562 | + | 10.5757i | 0.811185 | + | 0.589361i | ||||
\(323\) | 26.5245 | − | 19.2711i | 1.47586 | − | 1.07228i | ||||
\(324\) | 0.309017 | − | 0.951057i | 0.0171676 | − | 0.0528365i | ||||
\(325\) | 4.70338 | − | 3.41721i | 0.260897 | − | 0.189552i | ||||
\(326\) | 10.3882 | − | 7.54745i | 0.575348 | − | 0.418014i | ||||
\(327\) | 1.47980 | − | 4.55435i | 0.0818330 | − | 0.251856i | ||||
\(328\) | 6.14962 | − | 4.46796i | 0.339556 | − | 0.246702i | ||||
\(329\) | −1.44600 | − | 1.05058i | −0.0797203 | − | 0.0579202i | ||||
\(330\) | 1.08411 | + | 3.33653i | 0.0596780 | + | 0.183670i | ||||
\(331\) | 5.41171 | + | 3.93184i | 0.297455 | + | 0.216113i | 0.726495 | − | 0.687172i | \(-0.241148\pi\) |
−0.429040 | + | 0.903285i | \(0.641148\pi\) | |||||||
\(332\) | 4.30906 | − | 13.2619i | 0.236490 | − | 0.727842i | ||||
\(333\) | −0.0450850 | + | 0.138757i | −0.00247064 | + | 0.00760385i | ||||
\(334\) | 4.26928 | + | 13.1395i | 0.233604 | + | 0.718960i | ||||
\(335\) | −0.403254 | −0.0220321 | ||||||||
\(336\) | −2.02144 | −0.110279 | ||||||||
\(337\) | 3.57401 | + | 10.9997i | 0.194689 | + | 0.599190i | 0.999980 | + | 0.00631094i | \(0.00200885\pi\) |
−0.805291 | + | 0.592879i | \(0.797991\pi\) | |||||||
\(338\) | −16.8268 | + | 12.2254i | −0.915257 | + | 0.664973i | ||||
\(339\) | 5.47646 | + | 3.97888i | 0.297441 | + | 0.216103i | ||||
\(340\) | 4.27304 | 0.231738 | ||||||||
\(341\) | −1.12019 | + | 19.5009i | −0.0606619 | + | 1.05603i | ||||
\(342\) | 7.67276 | 0.414896 | ||||||||
\(343\) | 16.2128 | + | 11.7793i | 0.875409 | + | 0.636022i | ||||
\(344\) | 5.10420 | − | 3.70842i | 0.275200 | − | 0.199945i | ||||
\(345\) | −2.75050 | − | 8.46516i | −0.148082 | − | 0.455749i | ||||
\(346\) | 3.06645 | 0.164853 | ||||||||
\(347\) | −16.2474 | −0.872207 | −0.436104 | − | 0.899896i | \(-0.643642\pi\) | ||||
−0.436104 | + | 0.899896i | \(0.643642\pi\) | |||||||
\(348\) | 2.28511 | + | 7.03283i | 0.122495 | + | 0.376999i | ||||
\(349\) | −5.90133 | + | 18.1624i | −0.315891 | + | 0.972213i | 0.659495 | + | 0.751709i | \(0.270770\pi\) |
−0.975386 | + | 0.220504i | \(0.929230\pi\) | |||||||
\(350\) | 0.624660 | − | 1.92251i | 0.0333895 | − | 0.102762i | ||||
\(351\) | −4.70338 | − | 3.41721i | −0.251048 | − | 0.182397i | ||||
\(352\) | 1.08411 | + | 3.33653i | 0.0577830 | + | 0.177838i | ||||
\(353\) | 12.6457 | + | 9.18764i | 0.673063 | + | 0.489009i | 0.871049 | − | 0.491196i | \(-0.163440\pi\) |
−0.197986 | + | 0.980205i | \(0.563440\pi\) | |||||||
\(354\) | −1.97317 | + | 1.43359i | −0.104873 | + | 0.0761946i | ||||
\(355\) | −4.39294 | + | 13.5201i | −0.233153 | + | 0.717571i | ||||
\(356\) | −9.27653 | + | 6.73980i | −0.491655 | + | 0.357208i | ||||
\(357\) | −6.98805 | + | 5.07712i | −0.369847 | + | 0.268709i | ||||
\(358\) | 3.76059 | − | 11.5739i | 0.198753 | − | 0.611700i | ||||
\(359\) | 7.52317 | − | 5.46590i | 0.397057 | − | 0.288479i | −0.371284 | − | 0.928519i | \(-0.621082\pi\) |
0.768341 | + | 0.640040i | \(0.221082\pi\) | |||||||
\(360\) | 0.809017 | + | 0.587785i | 0.0426389 | + | 0.0309790i | ||||
\(361\) | 12.3209 | + | 37.9199i | 0.648469 | + | 1.99578i | ||||
\(362\) | −8.60366 | − | 6.25093i | −0.452199 | − | 0.328541i | ||||
\(363\) | −0.404112 | + | 1.24373i | −0.0212104 | + | 0.0652789i | ||||
\(364\) | −3.63158 | + | 11.1769i | −0.190347 | + | 0.585827i | ||||
\(365\) | −2.11437 | − | 6.50737i | −0.110671 | − | 0.340611i | ||||
\(366\) | 0.0928597 | 0.00485386 | ||||||||
\(367\) | −19.7865 | −1.03285 | −0.516424 | − | 0.856333i | \(-0.672737\pi\) | ||||
−0.516424 | + | 0.856333i | \(0.672737\pi\) | |||||||
\(368\) | −2.75050 | − | 8.46516i | −0.143380 | − | 0.441277i | ||||
\(369\) | 6.14962 | − | 4.46796i | 0.320136 | − | 0.232593i | ||||
\(370\) | −0.118034 | − | 0.0857567i | −0.00613629 | − | 0.00445828i | ||||
\(371\) | 6.50553 | 0.337750 | ||||||||
\(372\) | 3.00894 | + | 4.68468i | 0.156006 | + | 0.242890i | ||||
\(373\) | −11.6581 | −0.603634 | −0.301817 | − | 0.953366i | \(-0.597593\pi\) | ||||
−0.301817 | + | 0.953366i | \(0.597593\pi\) | |||||||
\(374\) | 12.1278 | + | 8.81140i | 0.627116 | + | 0.455626i | ||||
\(375\) | −0.809017 | + | 0.587785i | −0.0417775 | + | 0.0303531i | ||||
\(376\) | 0.273231 | + | 0.840919i | 0.0140908 | + | 0.0433671i | ||||
\(377\) | 42.9909 | 2.21414 | ||||||||
\(378\) | −2.02144 | −0.103972 | ||||||||
\(379\) | −5.78761 | − | 17.8124i | −0.297289 | − | 0.914963i | −0.982443 | − | 0.186564i | \(-0.940265\pi\) |
0.685153 | − | 0.728399i | \(-0.259735\pi\) | |||||||
\(380\) | −2.37101 | + | 7.29723i | −0.121630 | + | 0.374340i | ||||
\(381\) | −4.69001 | + | 14.4344i | −0.240276 | + | 0.739495i | ||||
\(382\) | −7.45854 | − | 5.41894i | −0.381612 | − | 0.277257i | ||||
\(383\) | −8.41161 | − | 25.8883i | −0.429813 | − | 1.32283i | −0.898309 | − | 0.439364i | \(-0.855204\pi\) |
0.468496 | − | 0.883466i | \(-0.344796\pi\) | |||||||
\(384\) | 0.809017 | + | 0.587785i | 0.0412850 | + | 0.0299953i | ||||
\(385\) | 5.73731 | − | 4.16840i | 0.292400 | − | 0.212441i | ||||
\(386\) | 1.95257 | − | 6.00938i | 0.0993830 | − | 0.305869i | ||||
\(387\) | 5.10420 | − | 3.70842i | 0.259461 | − | 0.188510i | ||||
\(388\) | 2.99936 | − | 2.17916i | 0.152269 | − | 0.110630i | ||||
\(389\) | 9.90338 | − | 30.4795i | 0.502121 | − | 1.54537i | −0.303436 | − | 0.952852i | \(-0.598134\pi\) |
0.805557 | − | 0.592518i | \(-0.201866\pi\) | |||||||
\(390\) | 4.70338 | − | 3.41721i | 0.238165 | − | 0.173037i | ||||
\(391\) | −30.7697 | − | 22.3555i | −1.55609 | − | 1.13057i | ||||
\(392\) | −0.900404 | − | 2.77116i | −0.0454773 | − | 0.139965i | ||||
\(393\) | −1.59247 | − | 1.15700i | −0.0803296 | − | 0.0583629i | ||||
\(394\) | 4.82206 | − | 14.8408i | 0.242932 | − | 0.747668i | ||||
\(395\) | 2.51888 | − | 7.75232i | 0.126739 | − | 0.390062i | ||||
\(396\) | 1.08411 | + | 3.33653i | 0.0544783 | + | 0.167667i | ||||
\(397\) | 29.1658 | 1.46379 | 0.731894 | − | 0.681418i | \(-0.238637\pi\) | ||||
0.731894 | + | 0.681418i | \(0.238637\pi\) | |||||||
\(398\) | 24.3485 | 1.22048 | ||||||||
\(399\) | −4.79287 | − | 14.7509i | −0.239944 | − | 0.738471i | ||||
\(400\) | −0.809017 | + | 0.587785i | −0.0404508 | + | 0.0293893i | ||||
\(401\) | 4.15851 | + | 3.02134i | 0.207666 | + | 0.150878i | 0.686757 | − | 0.726887i | \(-0.259034\pi\) |
−0.479091 | + | 0.877765i | \(0.659034\pi\) | |||||||
\(402\) | −0.403254 | −0.0201125 | ||||||||
\(403\) | 31.3080 | − | 8.22072i | 1.55956 | − | 0.409503i | ||||
\(404\) | 15.4068 | 0.766515 | ||||||||
\(405\) | 0.809017 | + | 0.587785i | 0.0402004 | + | 0.0292073i | ||||
\(406\) | 12.0933 | − | 8.78626i | 0.600178 | − | 0.436055i | ||||
\(407\) | −0.158169 | − | 0.486794i | −0.00784014 | − | 0.0241295i | ||||
\(408\) | 4.27304 | 0.211547 | ||||||||
\(409\) | 24.8045 | 1.22651 | 0.613253 | − | 0.789887i | \(-0.289861\pi\) | ||||
0.613253 | + | 0.789887i | \(0.289861\pi\) | |||||||
\(410\) | 2.34895 | + | 7.22931i | 0.116006 | + | 0.357030i | ||||
\(411\) | −1.56450 | + | 4.81505i | −0.0771713 | + | 0.237509i | ||||
\(412\) | −1.19107 | + | 3.66574i | −0.0586798 | + | 0.180598i | ||||
\(413\) | 3.98865 | + | 2.89793i | 0.196269 | + | 0.142598i | ||||
\(414\) | −2.75050 | − | 8.46516i | −0.135180 | − | 0.416040i | ||||
\(415\) | 11.2813 | + | 8.19631i | 0.553775 | + | 0.402341i | ||||
\(416\) | 4.70338 | − | 3.41721i | 0.230602 | − | 0.167542i | ||||
\(417\) | 5.05575 | − | 15.5600i | 0.247581 | − | 0.761977i | ||||
\(418\) | −21.7770 | + | 15.8219i | −1.06515 | + | 0.773876i | ||||
\(419\) | 4.87788 | − | 3.54399i | 0.238300 | − | 0.173135i | −0.462226 | − | 0.886762i | \(-0.652949\pi\) |
0.700526 | + | 0.713627i | \(0.252949\pi\) | |||||||
\(420\) | 0.624660 | − | 1.92251i | 0.0304803 | − | 0.0938087i | ||||
\(421\) | 17.5021 | − | 12.7160i | 0.852998 | − | 0.619739i | −0.0729731 | − | 0.997334i | \(-0.523249\pi\) |
0.925971 | + | 0.377595i | \(0.123249\pi\) | |||||||
\(422\) | −4.33580 | − | 3.15015i | −0.211064 | − | 0.153347i | ||||
\(423\) | 0.273231 | + | 0.840919i | 0.0132850 | + | 0.0408869i | ||||
\(424\) | −2.60363 | − | 1.89165i | −0.126443 | − | 0.0918665i | ||||
\(425\) | −1.32044 | + | 4.06390i | −0.0640508 | + | 0.197128i | ||||
\(426\) | −4.39294 | + | 13.5201i | −0.212839 | + | 0.655050i | ||||
\(427\) | −0.0580058 | − | 0.178523i | −0.00280710 | − | 0.00863936i | ||||
\(428\) | −0.737648 | −0.0356556 | ||||||||
\(429\) | 20.3958 | 0.984720 | ||||||||
\(430\) | 1.94963 | + | 6.00035i | 0.0940196 | + | 0.289363i | ||||
\(431\) | 17.3268 | − | 12.5887i | 0.834603 | − | 0.606375i | −0.0862545 | − | 0.996273i | \(-0.527490\pi\) |
0.920858 | + | 0.389898i | \(0.127490\pi\) | |||||||
\(432\) | 0.809017 | + | 0.587785i | 0.0389238 | + | 0.0282798i | ||||
\(433\) | −9.57229 | −0.460015 | −0.230007 | − | 0.973189i | \(-0.573875\pi\) | ||||
−0.230007 | + | 0.973189i | \(0.573875\pi\) | |||||||
\(434\) | 7.12677 | − | 8.71105i | 0.342096 | − | 0.418144i | ||||
\(435\) | −7.39476 | −0.354552 | ||||||||
\(436\) | 3.87416 | + | 2.81474i | 0.185539 | + | 0.134802i | ||||
\(437\) | 55.2508 | − | 40.1420i | 2.64300 | − | 1.92025i | ||||
\(438\) | −2.11437 | − | 6.50737i | −0.101029 | − | 0.310934i | ||||
\(439\) | −25.5389 | −1.21890 | −0.609452 | − | 0.792823i | \(-0.708610\pi\) | ||||
−0.609452 | + | 0.792823i | \(0.708610\pi\) | |||||||
\(440\) | −3.50824 | −0.167249 | ||||||||
\(441\) | −0.900404 | − | 2.77116i | −0.0428764 | − | 0.131960i | ||||
\(442\) | 7.67665 | − | 23.6263i | 0.365141 | − | 1.12379i | ||||
\(443\) | −2.69600 | + | 8.29742i | −0.128091 | + | 0.394222i | −0.994451 | − | 0.105196i | \(-0.966453\pi\) |
0.866361 | + | 0.499419i | \(0.166453\pi\) | |||||||
\(444\) | −0.118034 | − | 0.0857567i | −0.00560165 | − | 0.00406983i | ||||
\(445\) | −3.54332 | − | 10.9052i | −0.167969 | − | 0.516957i | ||||
\(446\) | 4.39912 | + | 3.19615i | 0.208304 | + | 0.151342i | ||||
\(447\) | −14.1238 | + | 10.2615i | −0.668031 | + | 0.485353i | ||||
\(448\) | 0.624660 | − | 1.92251i | 0.0295124 | − | 0.0908299i | ||||
\(449\) | −0.720914 | + | 0.523775i | −0.0340220 | + | 0.0247185i | −0.604666 | − | 0.796479i | \(-0.706694\pi\) |
0.570644 | + | 0.821197i | \(0.306694\pi\) | |||||||
\(450\) | −0.809017 | + | 0.587785i | −0.0381374 | + | 0.0277085i | ||||
\(451\) | −8.24066 | + | 25.3621i | −0.388038 | + | 1.19426i | ||||
\(452\) | −5.47646 | + | 3.97888i | −0.257591 | + | 0.187151i | ||||
\(453\) | 8.04846 | + | 5.84755i | 0.378150 | + | 0.274742i | ||||
\(454\) | 3.66801 | + | 11.2890i | 0.172148 | + | 0.529818i | ||||
\(455\) | −9.50761 | − | 6.90768i | −0.445724 | − | 0.323837i | ||||
\(456\) | −2.37101 | + | 7.29723i | −0.111033 | + | 0.341724i | ||||
\(457\) | 6.04218 | − | 18.5959i | 0.282641 | − | 0.869881i | −0.704454 | − | 0.709749i | \(-0.748808\pi\) |
0.987096 | − | 0.160131i | \(-0.0511918\pi\) | |||||||
\(458\) | −2.12586 | − | 6.54273i | −0.0993351 | − | 0.305722i | ||||
\(459\) | 4.27304 | 0.199448 | ||||||||
\(460\) | 8.90080 | 0.415002 | ||||||||
\(461\) | 6.68503 | + | 20.5744i | 0.311353 | + | 0.958245i | 0.977230 | + | 0.212184i | \(0.0680575\pi\) |
−0.665877 | + | 0.746061i | \(0.731942\pi\) | |||||||
\(462\) | 5.73731 | − | 4.16840i | 0.266924 | − | 0.193931i | ||||
\(463\) | 20.3500 | + | 14.7851i | 0.945743 | + | 0.687122i | 0.949796 | − | 0.312869i | \(-0.101290\pi\) |
−0.00405341 | + | 0.999992i | \(0.501290\pi\) | |||||||
\(464\) | −7.39476 | −0.343293 | ||||||||
\(465\) | −5.38521 | + | 1.41403i | −0.249733 | + | 0.0655739i | ||||
\(466\) | −0.339873 | −0.0157443 | ||||||||
\(467\) | 26.3853 | + | 19.1701i | 1.22097 | + | 0.887085i | 0.996180 | − | 0.0873233i | \(-0.0278313\pi\) |
0.224787 | + | 0.974408i | \(0.427831\pi\) | |||||||
\(468\) | 4.70338 | − | 3.41721i | 0.217414 | − | 0.157960i | ||||
\(469\) | 0.251897 | + | 0.775259i | 0.0116315 | + | 0.0357981i | ||||
\(470\) | −0.884195 | −0.0407849 | ||||||||
\(471\) | −22.1334 | −1.01985 | ||||||||
\(472\) | −0.753684 | − | 2.31960i | −0.0346911 | − | 0.106768i | ||||
\(473\) | −6.83977 | + | 21.0507i | −0.314493 | + | 0.967910i | ||||
\(474\) | 2.51888 | − | 7.75232i | 0.115696 | − | 0.356076i | ||||
\(475\) | −6.20740 | − | 4.50994i | −0.284815 | − | 0.206930i | ||||
\(476\) | −2.66920 | − | 8.21495i | −0.122342 | − | 0.376531i | ||||
\(477\) | −2.60363 | − | 1.89165i | −0.119212 | − | 0.0866126i | ||||
\(478\) | −21.6936 | + | 15.7613i | −0.992241 | + | 0.720905i | ||||
\(479\) | 4.69358 | − | 14.4454i | 0.214455 | − | 0.660026i | −0.784736 | − | 0.619830i | \(-0.787202\pi\) |
0.999192 | − | 0.0401961i | \(-0.0127983\pi\) | |||||||
\(480\) | −0.809017 | + | 0.587785i | −0.0369264 | + | 0.0268286i | ||||
\(481\) | −0.686214 | + | 0.498563i | −0.0312887 | + | 0.0227325i | ||||
\(482\) | −7.45067 | + | 22.9308i | −0.339369 | + | 1.04447i | ||||
\(483\) | −14.5562 | + | 10.5757i | −0.662330 | + | 0.481211i | ||||
\(484\) | −1.05798 | − | 0.768667i | −0.0480900 | − | 0.0349394i | ||||
\(485\) | 1.14565 | + | 3.52596i | 0.0520214 | + | 0.160105i | ||||
\(486\) | 0.809017 | + | 0.587785i | 0.0366978 | + | 0.0266625i | ||||
\(487\) | −3.57015 | + | 10.9878i | −0.161779 | + | 0.497904i | −0.998785 | − | 0.0492900i | \(-0.984304\pi\) |
0.837006 | + | 0.547194i | \(0.184304\pi\) | |||||||
\(488\) | −0.0286952 | + | 0.0883149i | −0.00129897 | + | 0.00399783i | ||||
\(489\) | 3.96793 | + | 12.2120i | 0.179436 | + | 0.552247i | ||||
\(490\) | 2.91377 | 0.131631 | ||||||||
\(491\) | 36.1683 | 1.63225 | 0.816126 | − | 0.577874i | \(-0.196118\pi\) | ||||
0.816126 | + | 0.577874i | \(0.196118\pi\) | |||||||
\(492\) | 2.34895 | + | 7.22931i | 0.105899 | + | 0.325923i | ||||
\(493\) | −25.5634 | + | 18.5729i | −1.15132 | + | 0.836481i | ||||
\(494\) | 36.0879 | + | 26.2194i | 1.62367 | + | 1.17967i | ||||
\(495\) | −3.50824 | −0.157684 | ||||||||
\(496\) | −5.38521 | + | 1.41403i | −0.241803 | + | 0.0634917i | ||||
\(497\) | 28.7365 | 1.28901 | ||||||||
\(498\) | 11.2813 | + | 8.19631i | 0.505525 | + | 0.367285i | ||||
\(499\) | −18.3543 | + | 13.3352i | −0.821651 | + | 0.596965i | −0.917185 | − | 0.398461i | \(-0.869544\pi\) |
0.0955336 | + | 0.995426i | \(0.469544\pi\) | |||||||
\(500\) | −0.309017 | − | 0.951057i | −0.0138197 | − | 0.0425325i | ||||
\(501\) | −13.8157 | −0.617239 | ||||||||
\(502\) | 17.9226 | 0.799927 | ||||||||
\(503\) | 3.11477 | + | 9.58626i | 0.138881 | + | 0.427430i | 0.996173 | − | 0.0873986i | \(-0.0278554\pi\) |
−0.857293 | + | 0.514829i | \(0.827855\pi\) | |||||||
\(504\) | 0.624660 | − | 1.92251i | 0.0278246 | − | 0.0856352i | ||||
\(505\) | −4.76095 | + | 14.6527i | −0.211860 | + | 0.652037i | ||||
\(506\) | 25.2625 | + | 18.3543i | 1.12305 | + | 0.815946i | ||||
\(507\) | −6.42726 | − | 19.7811i | −0.285445 | − | 0.878509i | ||||
\(508\) | −12.2786 | − | 8.92093i | −0.544775 | − | 0.395802i | ||||
\(509\) | −23.3018 | + | 16.9297i | −1.03283 | + | 0.750397i | −0.968874 | − | 0.247556i | \(-0.920373\pi\) |
−0.0639589 | + | 0.997953i | \(0.520373\pi\) | |||||||
\(510\) | −1.32044 | + | 4.06390i | −0.0584702 | + | 0.179953i | ||||
\(511\) | −11.1897 | + | 8.12979i | −0.495003 | + | 0.359641i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | −2.37101 | + | 7.29723i | −0.104683 | + | 0.322181i | ||||
\(514\) | −18.9810 | + | 13.7905i | −0.837217 | + | 0.608273i | ||||
\(515\) | −3.11826 | − | 2.26555i | −0.137407 | − | 0.0998320i | ||||
\(516\) | 1.94963 | + | 6.00035i | 0.0858278 | + | 0.264151i | ||||
\(517\) | −2.50954 | − | 1.82329i | −0.110370 | − | 0.0801882i | ||||
\(518\) | −0.0911367 | + | 0.280490i | −0.00400432 | + | 0.0123240i | ||||
\(519\) | −0.947585 | + | 2.91637i | −0.0415944 | + | 0.128014i | ||||
\(520\) | 1.79653 | + | 5.52915i | 0.0787831 | + | 0.242469i | ||||
\(521\) | −11.7630 | −0.515345 | −0.257672 | − | 0.966232i | \(-0.582956\pi\) | ||||
−0.257672 | + | 0.966232i | \(0.582956\pi\) | |||||||
\(522\) | −7.39476 | −0.323660 | ||||||||
\(523\) | 4.44657 | + | 13.6851i | 0.194435 | + | 0.598409i | 0.999983 | + | 0.00587853i | \(0.00187120\pi\) |
−0.805548 | + | 0.592531i | \(0.798129\pi\) | |||||||
\(524\) | 1.59247 | − | 1.15700i | 0.0695675 | − | 0.0505437i | ||||
\(525\) | 1.63538 | + | 1.18817i | 0.0713739 | + | 0.0518562i | ||||
\(526\) | 26.9722 | 1.17604 | ||||||||
\(527\) | −15.0650 | + | 18.4139i | −0.656240 | + | 0.802122i | ||||
\(528\) | −3.50824 | −0.152676 | ||||||||
\(529\) | −45.4863 | − | 33.0477i | −1.97767 | − | 1.43686i | ||||
\(530\) | 2.60363 | − | 1.89165i | 0.113094 | − | 0.0821679i | ||||
\(531\) | −0.753684 | − | 2.31960i | −0.0327071 | − | 0.100662i | ||||
\(532\) | 15.5101 | 0.672446 | ||||||||
\(533\) | 44.1919 | 1.91416 | ||||||||
\(534\) | −3.54332 | − | 10.9052i | −0.153334 | − | 0.471915i | ||||
\(535\) | 0.227946 | − | 0.701545i | 0.00985496 | − | 0.0303305i | ||||
\(536\) | 0.124612 | − | 0.383518i | 0.00538244 | − | 0.0165654i | ||||
\(537\) | 9.84536 | + | 7.15307i | 0.424859 | + | 0.308678i | ||||
\(538\) | 8.21958 | + | 25.2973i | 0.354371 | + | 1.09064i | ||||
\(539\) | 8.26993 | + | 6.00846i | 0.356211 | + | 0.258803i | ||||
\(540\) | −0.809017 | + | 0.587785i | −0.0348145 | + | 0.0252942i | ||||
\(541\) | 13.5745 | − | 41.7779i | 0.583612 | − | 1.79617i | −0.0211615 | − | 0.999776i | \(-0.506736\pi\) |
0.604774 | − | 0.796397i | \(-0.293264\pi\) | |||||||
\(542\) | −15.1713 | + | 11.0226i | −0.651665 | + | 0.473462i | ||||
\(543\) | 8.60366 | − | 6.25093i | 0.369219 | − | 0.268253i | ||||
\(544\) | −1.32044 | + | 4.06390i | −0.0566135 | + | 0.174238i | ||||
\(545\) | −3.87416 | + | 2.81474i | −0.165951 | + | 0.120570i | ||||
\(546\) | −9.50761 | − | 6.90768i | −0.406888 | − | 0.295622i | ||||
\(547\) | 6.30882 | + | 19.4165i | 0.269746 | + | 0.830191i | 0.990562 | + | 0.137065i | \(0.0437671\pi\) |
−0.720816 | + | 0.693126i | \(0.756233\pi\) | |||||||
\(548\) | −4.09593 | − | 2.97586i | −0.174969 | − | 0.127123i | ||||
\(549\) | −0.0286952 | + | 0.0883149i | −0.00122468 | + | 0.00376919i | ||||
\(550\) | 1.08411 | − | 3.33653i | 0.0462264 | − | 0.142270i | ||||
\(551\) | −17.5331 | − | 53.9613i | −0.746934 | − | 2.29883i | ||||
\(552\) | 8.90080 | 0.378843 | ||||||||
\(553\) | −16.4773 | −0.700688 | ||||||||
\(554\) | 4.00188 | + | 12.3165i | 0.170024 | + | 0.523279i | ||||
\(555\) | 0.118034 | − | 0.0857567i | 0.00501026 | − | 0.00364017i | ||||
\(556\) | 13.2361 | + | 9.61661i | 0.561337 | + | 0.407835i | ||||
\(557\) | 25.1150 | 1.06416 | 0.532078 | − | 0.846695i | \(-0.321411\pi\) | ||||
0.532078 | + | 0.846695i | \(0.321411\pi\) | |||||||
\(558\) | −5.38521 | + | 1.41403i | −0.227974 | + | 0.0598605i | ||||
\(559\) | 36.6794 | 1.55137 | ||||||||
\(560\) | 1.63538 | + | 1.18817i | 0.0691075 | + | 0.0502095i | ||||
\(561\) | −12.1278 | + | 8.81140i | −0.512038 | + | 0.372017i | ||||
\(562\) | 4.61923 | + | 14.2165i | 0.194850 | + | 0.599688i | ||||
\(563\) | −6.96390 | −0.293493 | −0.146747 | − | 0.989174i | \(-0.546880\pi\) | ||||
−0.146747 | + | 0.989174i | \(0.546880\pi\) | |||||||
\(564\) | −0.884195 | −0.0372313 | ||||||||
\(565\) | −2.09182 | − | 6.43797i | −0.0880036 | − | 0.270847i | ||||
\(566\) | −4.34891 | + | 13.3846i | −0.182798 | + | 0.562596i | ||||
\(567\) | 0.624660 | − | 1.92251i | 0.0262333 | − | 0.0807377i | ||||
\(568\) | −11.5009 | − | 8.35587i | −0.482566 | − | 0.350604i | ||||
\(569\) | −1.90685 | − | 5.86868i | −0.0799393 | − | 0.246028i | 0.903098 | − | 0.429435i | \(-0.141287\pi\) |
−0.983037 | + | 0.183407i | \(0.941287\pi\) | |||||||
\(570\) | −6.20740 | − | 4.50994i | −0.259999 | − | 0.188901i | ||||
\(571\) | 26.9536 | − | 19.5830i | 1.12797 | − | 0.819522i | 0.142576 | − | 0.989784i | \(-0.454461\pi\) |
0.985399 | + | 0.170262i | \(0.0544615\pi\) | |||||||
\(572\) | −6.30266 | + | 19.3976i | −0.263527 | + | 0.811054i | ||||
\(573\) | 7.45854 | − | 5.41894i | 0.311585 | − | 0.226380i | ||||
\(574\) | 12.4311 | − | 9.03173i | 0.518864 | − | 0.376977i | ||||
\(575\) | −2.75050 | + | 8.46516i | −0.114704 | + | 0.353022i | ||||
\(576\) | −0.809017 | + | 0.587785i | −0.0337090 | + | 0.0244911i | ||||
\(577\) | −17.6872 | − | 12.8505i | −0.736328 | − | 0.534974i | 0.155231 | − | 0.987878i | \(-0.450388\pi\) |
−0.891559 | + | 0.452905i | \(0.850388\pi\) | |||||||
\(578\) | 0.389012 | + | 1.19726i | 0.0161808 | + | 0.0497993i | ||||
\(579\) | 5.11188 | + | 3.71400i | 0.212443 | + | 0.154349i | ||||
\(580\) | 2.28511 | − | 7.03283i | 0.0948839 | − | 0.292023i | ||||
\(581\) | 8.71051 | − | 26.8082i | 0.361373 | − | 1.11219i | ||||
\(582\) | 1.14565 | + | 3.52596i | 0.0474888 | + | 0.146156i | ||||
\(583\) | 11.2904 | 0.467602 | ||||||||
\(584\) | 6.84226 | 0.283135 | ||||||||
\(585\) | 1.79653 | + | 5.52915i | 0.0742774 | + | 0.228602i | ||||
\(586\) | −10.3033 | + | 7.48579i | −0.425625 | + | 0.309235i | ||||
\(587\) | 15.0543 | + | 10.9376i | 0.621356 | + | 0.451442i | 0.853395 | − | 0.521265i | \(-0.174540\pi\) |
−0.232039 | + | 0.972707i | \(0.574540\pi\) | |||||||
\(588\) | 2.91377 | 0.120162 | ||||||||
\(589\) | −23.0869 | − | 35.9445i | −0.951279 | − | 1.48107i | ||||
\(590\) | 2.43897 | 0.100411 | ||||||||
\(591\) | 12.6243 | + | 9.17211i | 0.519295 | + | 0.377290i | ||||
\(592\) | 0.118034 | − | 0.0857567i | 0.00485117 | − | 0.00352458i | ||||
\(593\) | 1.01565 | + | 3.12585i | 0.0417078 | + | 0.128363i | 0.969742 | − | 0.244131i | \(-0.0785026\pi\) |
−0.928035 | + | 0.372494i | \(0.878503\pi\) | |||||||
\(594\) | −3.50824 | −0.143945 | ||||||||
\(595\) | 8.63771 | 0.354111 | ||||||||
\(596\) | −5.39480 | − | 16.6035i | −0.220979 | − | 0.680105i | ||||
\(597\) | −7.52410 | + | 23.1568i | −0.307941 | + | 0.947745i | ||||
\(598\) | 15.9906 | − | 49.2139i | 0.653903 | − | 2.01251i | ||||
\(599\) | −31.1730 | − | 22.6485i | −1.27370 | − | 0.925394i | −0.274353 | − | 0.961629i | \(-0.588464\pi\) |
−0.999343 | + | 0.0362348i | \(0.988464\pi\) | |||||||
\(600\) | −0.309017 | − | 0.951057i | −0.0126156 | − | 0.0388267i | ||||
\(601\) | −4.84337 | − | 3.51892i | −0.197565 | − | 0.143540i | 0.484604 | − | 0.874733i | \(-0.338964\pi\) |
−0.682170 | + | 0.731194i | \(0.738964\pi\) | |||||||
\(602\) | 10.3179 | − | 7.49636i | 0.420524 | − | 0.305529i | ||||
\(603\) | 0.124612 | − | 0.383518i | 0.00507461 | − | 0.0156180i | ||||
\(604\) | −8.04846 | + | 5.84755i | −0.327487 | + | 0.237933i | ||||
\(605\) | 1.05798 | − | 0.768667i | 0.0430130 | − | 0.0312508i | ||||
\(606\) | −4.76095 | + | 14.6527i | −0.193400 | + | 0.595225i | ||||
\(607\) | 6.94556 | − | 5.04625i | 0.281912 | − | 0.204821i | −0.437839 | − | 0.899053i | \(-0.644256\pi\) |
0.719751 | + | 0.694233i | \(0.244256\pi\) | |||||||
\(608\) | −6.20740 | − | 4.50994i | −0.251743 | − | 0.182902i | ||||
\(609\) | 4.61921 | + | 14.2165i | 0.187180 | + | 0.576080i | ||||
\(610\) | −0.0751251 | − | 0.0545816i | −0.00304173 | − | 0.00220994i | ||||
\(611\) | −1.58848 | + | 4.88885i | −0.0642632 | + | 0.197782i | ||||
\(612\) | −1.32044 | + | 4.06390i | −0.0533757 | + | 0.164274i | ||||
\(613\) | −10.2532 | − | 31.5561i | −0.414123 | − | 1.27454i | −0.913033 | − | 0.407886i | \(-0.866266\pi\) |
0.498910 | − | 0.866654i | \(-0.333734\pi\) | |||||||
\(614\) | −3.70818 | −0.149650 | ||||||||
\(615\) | −7.60135 | −0.306516 | ||||||||
\(616\) | 2.19146 | + | 6.74461i | 0.0882963 | + | 0.271748i | ||||
\(617\) | −12.3695 | + | 8.98695i | −0.497977 | + | 0.361801i | −0.808244 | − | 0.588848i | \(-0.799582\pi\) |
0.310267 | + | 0.950649i | \(0.399582\pi\) | |||||||
\(618\) | −3.11826 | − | 2.26555i | −0.125435 | − | 0.0911337i | ||||
\(619\) | 26.9722 | 1.08410 | 0.542052 | − | 0.840345i | \(-0.317648\pi\) | ||||
0.542052 | + | 0.840345i | \(0.317648\pi\) | |||||||
\(620\) | 0.319304 | − | 5.55860i | 0.0128235 | − | 0.223239i | ||||
\(621\) | 8.90080 | 0.357177 | ||||||||
\(622\) | 17.3265 | + | 12.5885i | 0.694730 | + | 0.504751i | ||||
\(623\) | −18.7520 | + | 13.6241i | −0.751282 | + | 0.545839i | ||||
\(624\) | 1.79653 | + | 5.52915i | 0.0719188 | + | 0.221343i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −32.7342 | −1.30832 | ||||||||
\(627\) | −8.31808 | − | 25.6004i | −0.332192 | − | 1.02238i | ||||
\(628\) | 6.83959 | − | 21.0501i | 0.272929 | − | 0.839990i | ||||
\(629\) | 0.192650 | − | 0.592915i | 0.00768145 | − | 0.0236411i | ||||
\(630\) | 1.63538 | + | 1.18817i | 0.0651552 | + | 0.0473380i | ||||
\(631\) | −3.67758 | − | 11.3184i | −0.146402 | − | 0.450579i | 0.850787 | − | 0.525511i | \(-0.176126\pi\) |
−0.997189 | + | 0.0749320i | \(0.976126\pi\) | |||||||
\(632\) | 6.59452 | + | 4.79120i | 0.262316 | + | 0.190584i | ||||
\(633\) | 4.33580 | − | 3.15015i | 0.172333 | − | 0.125207i | ||||
\(634\) | −7.54980 | + | 23.2359i | −0.299841 | + | 0.922816i | ||||
\(635\) | 12.2786 | − | 8.92093i | 0.487261 | − | 0.354016i | ||||
\(636\) | 2.60363 | − | 1.89165i | 0.103241 | − | 0.0750087i | ||||
\(637\) | 5.23468 | − | 16.1107i | 0.207405 | − | 0.638328i | ||||
\(638\) | 20.9880 | − | 15.2487i | 0.830922 | − | 0.603700i | ||||
\(639\) | −11.5009 | − | 8.35587i | −0.454967 | − | 0.330553i | ||||
\(640\) | −0.309017 | − | 0.951057i | −0.0122150 | − | 0.0375938i | ||||
\(641\) | 7.34738 | + | 5.33818i | 0.290204 | + | 0.210846i | 0.723356 | − | 0.690475i | \(-0.242599\pi\) |
−0.433152 | + | 0.901321i | \(0.642599\pi\) | |||||||
\(642\) | 0.227946 | − | 0.701545i | 0.00899631 | − | 0.0276878i | ||||
\(643\) | −12.5966 | + | 38.7684i | −0.496763 | + | 1.52888i | 0.317429 | + | 0.948282i | \(0.397181\pi\) |
−0.814192 | + | 0.580596i | \(0.802819\pi\) | |||||||
\(644\) | −5.55997 | − | 17.1118i | −0.219094 | − | 0.674301i | ||||
\(645\) | −6.30914 | −0.248422 | ||||||||
\(646\) | −32.7860 | −1.28995 | ||||||||
\(647\) | −8.62743 | − | 26.5525i | −0.339179 | − | 1.04389i | −0.964627 | − | 0.263620i | \(-0.915083\pi\) |
0.625447 | − | 0.780267i | \(-0.284917\pi\) | |||||||
\(648\) | −0.809017 | + | 0.587785i | −0.0317812 | + | 0.0230904i | ||||
\(649\) | 6.92235 | + | 5.02938i | 0.271726 | + | 0.197421i | ||||
\(650\) | −5.81370 | −0.228032 | ||||||||
\(651\) | 6.08240 | + | 9.46982i | 0.238388 | + | 0.371152i | ||||
\(652\) | −12.8405 | −0.502872 | ||||||||
\(653\) | −12.8568 | − | 9.34098i | −0.503124 | − | 0.365541i | 0.307085 | − | 0.951682i | \(-0.400646\pi\) |
−0.810209 | + | 0.586141i | \(0.800646\pi\) | |||||||
\(654\) | −3.87416 | + | 2.81474i | −0.151492 | + | 0.110065i | ||||
\(655\) | 0.608270 | + | 1.87206i | 0.0237671 | + | 0.0731476i | ||||
\(656\) | −7.60135 | −0.296783 | ||||||||
\(657\) | 6.84226 | 0.266942 | ||||||||
\(658\) | 0.552321 | + | 1.69987i | 0.0215317 | + | 0.0662678i | ||||
\(659\) | −5.90127 | + | 18.1623i | −0.229881 | + | 0.707501i | 0.767878 | + | 0.640596i | \(0.221313\pi\) |
−0.997759 | + | 0.0669053i | \(0.978687\pi\) | |||||||
\(660\) | 1.08411 | − | 3.33653i | 0.0421987 | − | 0.129874i | ||||
\(661\) | −4.80380 | − | 3.49016i | −0.186846 | − | 0.135752i | 0.490430 | − | 0.871481i | \(-0.336840\pi\) |
−0.677276 | + | 0.735729i | \(0.736840\pi\) | |||||||
\(662\) | −2.06709 | − | 6.36185i | −0.0803397 | − | 0.247260i | ||||
\(663\) | 20.0977 | + | 14.6019i | 0.780531 | + | 0.567089i | ||||
\(664\) | −11.2813 | + | 8.19631i | −0.437798 | + | 0.318079i | ||||
\(665\) | −4.79287 | + | 14.7509i | −0.185860 | + | 0.572017i | ||||
\(666\) | 0.118034 | − | 0.0857567i | 0.00457372 | − | 0.00332301i | ||||
\(667\) | −53.2489 | + | 38.6876i | −2.06181 | + | 1.49799i | ||||
\(668\) | 4.26928 | − | 13.1395i | 0.165183 | − | 0.508382i | ||||
\(669\) | −4.39912 | + | 3.19615i | −0.170080 | + | 0.123570i | ||||
\(670\) | 0.326240 | + | 0.237027i | 0.0126037 | + | 0.00915715i | ||||
\(671\) | −0.100670 | − | 0.309830i | −0.00388631 | − | 0.0119608i | ||||
\(672\) | 1.63538 | + | 1.18817i | 0.0630862 | + | 0.0458348i | ||||
\(673\) | −3.98911 | + | 12.2772i | −0.153769 | + | 0.473252i | −0.998034 | − | 0.0626735i | \(-0.980037\pi\) |
0.844265 | + | 0.535926i | \(0.180037\pi\) | |||||||
\(674\) | 3.57401 | − | 10.9997i | 0.137666 | − | 0.423691i | ||||
\(675\) | −0.309017 | − | 0.951057i | −0.0118941 | − | 0.0366062i | ||||
\(676\) | 20.7991 | 0.799964 | ||||||||
\(677\) | −5.71307 | −0.219571 | −0.109786 | − | 0.993955i | \(-0.535016\pi\) | ||||
−0.109786 | + | 0.993955i | \(0.535016\pi\) | |||||||
\(678\) | −2.09182 | − | 6.43797i | −0.0803359 | − | 0.247249i | ||||
\(679\) | 6.06303 | − | 4.40505i | 0.232678 | − | 0.169050i | ||||
\(680\) | −3.45696 | − | 2.51163i | −0.132568 | − | 0.0963166i | ||||
\(681\) | −11.8699 | −0.454857 | ||||||||
\(682\) | 12.3686 | − | 15.1181i | 0.473618 | − | 0.578903i | ||||
\(683\) | 21.7834 | 0.833519 | 0.416759 | − | 0.909017i | \(-0.363166\pi\) | ||||
0.416759 | + | 0.909017i | \(0.363166\pi\) | |||||||
\(684\) | −6.20740 | − | 4.50994i | −0.237346 | − | 0.172442i | ||||
\(685\) | 4.09593 | − | 2.97586i | 0.156497 | − | 0.113702i | ||||
\(686\) | −6.19274 | − | 19.0593i | −0.236440 | − | 0.727687i | ||||
\(687\) | 6.87944 | 0.262467 | ||||||||
\(688\) | −6.30914 | −0.240534 | ||||||||
\(689\) | −5.78171 | − | 17.7943i | −0.220266 | − | 0.677908i | ||||
\(690\) | −2.75050 | + | 8.46516i | −0.104710 | + | 0.322263i | ||||
\(691\) | 11.7805 | − | 36.2567i | 0.448152 | − | 1.37927i | −0.430838 | − | 0.902429i | \(-0.641782\pi\) |
0.878990 | − | 0.476841i | \(-0.158218\pi\) | |||||||
\(692\) | −2.48081 | − | 1.80241i | −0.0943063 | − | 0.0685175i | ||||
\(693\) | 2.19146 | + | 6.74461i | 0.0832466 | + | 0.256207i | ||||
\(694\) | 13.1444 | + | 9.55000i | 0.498956 | + | 0.362513i | ||||
\(695\) | −13.2361 | + | 9.61661i | −0.502075 | + | 0.364779i | ||||
\(696\) | 2.28511 | − | 7.03283i | 0.0866167 | − | 0.266579i | ||||
\(697\) | −26.2776 | + | 19.0918i | −0.995334 | + | 0.723152i | ||||
\(698\) | 15.4499 | − | 11.2250i | 0.584787 | − | 0.424872i | ||||
\(699\) | 0.105027 | − | 0.323239i | 0.00397247 | − | 0.0122260i | ||||
\(700\) | −1.63538 | + | 1.18817i | −0.0618116 | + | 0.0449088i | ||||
\(701\) | −9.83429 | − | 7.14503i | −0.371436 | − | 0.269864i | 0.386370 | − | 0.922344i | \(-0.373729\pi\) |
−0.757806 | + | 0.652480i | \(0.773729\pi\) | |||||||
\(702\) | 1.79653 | + | 5.52915i | 0.0678057 | + | 0.208684i | ||||
\(703\) | 0.905647 | + | 0.657991i | 0.0341571 | + | 0.0248166i | ||||
\(704\) | 1.08411 | − | 3.33653i | 0.0408588 | − | 0.125750i | ||||
\(705\) | 0.273231 | − | 0.840919i | 0.0102905 | − | 0.0316709i | ||||
\(706\) | −4.83023 | − | 14.8659i | −0.181788 | − | 0.559486i | ||||
\(707\) | 31.1439 | 1.17129 | ||||||||
\(708\) | 2.43897 | 0.0916622 | ||||||||
\(709\) | −9.40355 | − | 28.9411i | −0.353158 | − | 1.08691i | −0.957070 | − | 0.289857i | \(-0.906392\pi\) |
0.603913 | − | 0.797051i | \(-0.293608\pi\) | |||||||
\(710\) | 11.5009 | − | 8.35587i | 0.431620 | − | 0.313590i | ||||
\(711\) | 6.59452 | + | 4.79120i | 0.247314 | + | 0.179684i | ||||
\(712\) | 11.4664 | 0.429722 | ||||||||
\(713\) | −31.3805 | + | 38.3564i | −1.17521 | + | 1.43646i | ||||
\(714\) | 8.63771 | 0.323258 | ||||||||
\(715\) | −16.5006 | − | 11.9884i | −0.617086 | − | 0.448340i | ||||
\(716\) | −9.84536 | + | 7.15307i | −0.367938 | + | 0.267323i | ||||
\(717\) | −8.28620 | − | 25.5023i | −0.309454 | − | 0.952401i | ||||
\(718\) | −9.29914 | −0.347041 | ||||||||
\(719\) | 35.4954 | 1.32376 | 0.661878 | − | 0.749612i | \(-0.269760\pi\) | ||||
0.661878 | + | 0.749612i | \(0.269760\pi\) | |||||||
\(720\) | −0.309017 | − | 0.951057i | −0.0115164 | − | 0.0354438i | ||||
\(721\) | −2.40768 | + | 7.41007i | −0.0896667 | + | 0.275966i | ||||
\(722\) | 12.3209 | − | 37.9199i | 0.458537 | − | 1.41123i | ||||
\(723\) | −19.5061 | − | 14.1720i | −0.725440 | − | 0.527063i | ||||
\(724\) | 3.28631 | + | 10.1142i | 0.122135 | + | 0.375892i | ||||
\(725\) | 5.98249 | + | 4.34653i | 0.222184 | + | 0.161426i | ||||
\(726\) | 1.05798 | − | 0.768667i | 0.0392653 | − | 0.0285279i | ||||
\(727\) | −10.6944 | + | 32.9140i | −0.396634 | + | 1.22071i | 0.531048 | + | 0.847342i | \(0.321799\pi\) |
−0.927682 | + | 0.373372i | \(0.878201\pi\) | |||||||
\(728\) | 9.50761 | − | 6.90768i | 0.352376 | − | 0.256016i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −2.11437 | + | 6.50737i | −0.0782565 | + | 0.240849i | ||||
\(731\) | −21.8105 | + | 15.8462i | −0.806689 | + | 0.586094i | ||||
\(732\) | −0.0751251 | − | 0.0545816i | −0.00277670 | − | 0.00201739i | ||||
\(733\) | −4.01280 | − | 12.3501i | −0.148216 | − | 0.456162i | 0.849194 | − | 0.528080i | \(-0.177088\pi\) |
−0.997411 | + | 0.0719179i | \(0.977088\pi\) | |||||||
\(734\) | 16.0076 | + | 11.6302i | 0.590853 | + | 0.429280i | ||||
\(735\) | −0.900404 | + | 2.77116i | −0.0332119 | + | 0.102216i | ||||
\(736\) | −2.75050 | + | 8.46516i | −0.101385 | + | 0.312030i | ||||
\(737\) | 0.437170 | + | 1.34547i | 0.0161034 | + | 0.0495611i | ||||
\(738\) | −7.60135 | −0.279809 | ||||||||
\(739\) | −40.4669 | −1.48860 | −0.744300 | − | 0.667845i | \(-0.767217\pi\) | ||||
−0.744300 | + | 0.667845i | \(0.767217\pi\) | |||||||
\(740\) | 0.0450850 | + | 0.138757i | 0.00165736 | + | 0.00510082i | ||||
\(741\) | −36.0879 | + | 26.2194i | −1.32572 | + | 0.963194i | ||||
\(742\) | −5.26309 | − | 3.82386i | −0.193214 | − | 0.140378i | ||||
\(743\) | 23.2603 | 0.853339 | 0.426669 | − | 0.904408i | \(-0.359687\pi\) | ||||
0.426669 | + | 0.904408i | \(0.359687\pi\) | |||||||
\(744\) | 0.319304 | − | 5.55860i | 0.0117062 | − | 0.203788i | ||||
\(745\) | 17.4579 | 0.639609 | ||||||||
\(746\) | 9.43161 | + | 6.85246i | 0.345316 | + | 0.250886i | ||||
\(747\) | −11.2813 | + | 8.19631i | −0.412760 | + | 0.299887i | ||||
\(748\) | −4.63242 | − | 14.2571i | −0.169378 | − | 0.521293i | ||||
\(749\) | −1.49111 | −0.0544841 | ||||||||
\(750\) | 1.00000 | 0.0365148 | ||||||||
\(751\) | 8.50237 | + | 26.1676i | 0.310256 | + | 0.954870i | 0.977663 | + | 0.210177i | \(0.0674040\pi\) |
−0.667407 | + | 0.744693i | \(0.732596\pi\) | |||||||
\(752\) | 0.273231 | − | 0.840919i | 0.00996372 | − | 0.0306652i | ||||
\(753\) | −5.53840 | + | 17.0455i | −0.201831 | + | 0.621171i | ||||
\(754\) | −34.7804 | − | 25.2694i | −1.26663 | − | 0.920257i | ||||
\(755\) | −3.07424 | − | 9.46153i | −0.111883 | − | 0.344340i | ||||
\(756\) | 1.63538 | + | 1.18817i | 0.0594783 | + | 0.0432135i | ||||
\(757\) | −17.3899 | + | 12.6345i | −0.632048 | + | 0.459210i | −0.857109 | − | 0.515135i | \(-0.827742\pi\) |
0.225061 | + | 0.974345i | \(0.427742\pi\) | |||||||
\(758\) | −5.78761 | + | 17.8124i | −0.210215 | + | 0.646976i | ||||
\(759\) | −25.2625 | + | 18.3543i | −0.916969 | + | 0.666217i | ||||
\(760\) | 6.20740 | − | 4.50994i | 0.225166 | − | 0.163593i | ||||
\(761\) | 6.87355 | − | 21.1546i | 0.249166 | − | 0.766854i | −0.745757 | − | 0.666218i | \(-0.767912\pi\) |
0.994923 | − | 0.100636i | \(-0.0320879\pi\) | |||||||
\(762\) | 12.2786 | − | 8.92093i | 0.444807 | − | 0.323171i | ||||
\(763\) | 7.83139 | + | 5.68984i | 0.283515 | + | 0.205986i | ||||
\(764\) | 2.84891 | + | 8.76803i | 0.103070 | + | 0.317216i | ||||
\(765\) | −3.45696 | − | 2.51163i | −0.124987 | − | 0.0908082i | ||||
\(766\) | −8.41161 | + | 25.8883i | −0.303924 | + | 0.935382i | ||||
\(767\) | 4.38169 | − | 13.4855i | 0.158214 | − | 0.486932i | ||||
\(768\) | −0.309017 | − | 0.951057i | −0.0111507 | − | 0.0343183i | ||||
\(769\) | 46.5515 | 1.67869 | 0.839344 | − | 0.543600i | \(-0.182939\pi\) | ||||
0.839344 | + | 0.543600i | \(0.182939\pi\) | |||||||
\(770\) | −7.09170 | −0.255567 | ||||||||
\(771\) | −7.25010 | − | 22.3135i | −0.261106 | − | 0.803602i | ||||
\(772\) | −5.11188 | + | 3.71400i | −0.183981 | + | 0.133670i | ||||
\(773\) | 14.8247 | + | 10.7707i | 0.533206 | + | 0.387397i | 0.821556 | − | 0.570128i | \(-0.193107\pi\) |
−0.288350 | + | 0.957525i | \(0.593107\pi\) | |||||||
\(774\) | −6.30914 | −0.226777 | ||||||||
\(775\) | 5.18787 | + | 2.02138i | 0.186354 | + | 0.0726100i | ||||
\(776\) | −3.70741 | −0.133088 | ||||||||
\(777\) | −0.238599 | − | 0.173352i | −0.00855969 | − | 0.00621898i | ||||
\(778\) | −25.9274 | + | 18.8373i | −0.929542 | + | 0.675352i | ||||
\(779\) | −18.0229 | − | 55.4688i | −0.645738 | − | 1.98738i | ||||
\(780\) | −5.81370 | −0.208164 | ||||||||
\(781\) | 49.8726 | 1.78458 | ||||||||
\(782\) | 11.7530 | + | 36.1720i | 0.420286 | + | 1.29351i | ||||
\(783\) | 2.28511 | − | 7.03283i | 0.0816630 | − | 0.251333i | ||||
\(784\) | −0.900404 | + | 2.77116i | −0.0321573 | + | 0.0989700i | ||||
\(785\) | 17.9063 | + | 13.0097i | 0.639103 | + | 0.464335i | ||||
\(786\) | 0.608270 | + | 1.87206i | 0.0216963 | + | 0.0667743i | ||||
\(787\) | 25.4816 | + | 18.5134i | 0.908319 | + | 0.659933i | 0.940589 | − | 0.339546i | \(-0.110274\pi\) |
−0.0322698 | + | 0.999479i | \(0.510274\pi\) | |||||||
\(788\) | −12.6243 | + | 9.17211i | −0.449723 | + | 0.326743i | ||||
\(789\) | −8.33487 | + | 25.6521i | −0.296729 | + | 0.913239i | ||||
\(790\) | −6.59452 | + | 4.79120i | −0.234622 | + | 0.170463i | ||||
\(791\) | −11.0704 | + | 8.04308i | −0.393616 | + | 0.285979i | ||||
\(792\) | 1.08411 | − | 3.33653i | 0.0385220 | − | 0.118559i | ||||
\(793\) | −0.436755 | + | 0.317321i | −0.0155096 | + | 0.0112684i | ||||
\(794\) | −23.5956 | − | 17.1432i | −0.837377 | − | 0.608390i | ||||
\(795\) | 0.994498 | + | 3.06075i | 0.0352712 | + | 0.108554i | ||||
\(796\) | −19.6984 | − | 14.3117i | −0.698190 | − | 0.507265i | ||||
\(797\) | 4.37189 | − | 13.4553i | 0.154860 | − | 0.476610i | −0.843287 | − | 0.537464i | \(-0.819382\pi\) |
0.998147 | + | 0.0608537i | \(0.0193823\pi\) | |||||||
\(798\) | −4.79287 | + | 14.7509i | −0.169666 | + | 0.522178i | ||||
\(799\) | −1.16753 | − | 3.59328i | −0.0413042 | − | 0.127121i | ||||
\(800\) | 1.00000 | 0.0353553 | ||||||||
\(801\) | 11.4664 | 0.405146 | ||||||||
\(802\) | −1.58841 | − | 4.88862i | −0.0560887 | − | 0.172623i | ||||
\(803\) | −19.4199 | + | 14.1094i | −0.685312 | + | 0.497908i | ||||
\(804\) | 0.326240 | + | 0.237027i | 0.0115056 | + | 0.00835930i | ||||
\(805\) | 17.9925 | 0.634151 | ||||||||
\(806\) | −30.1607 | − | 11.7517i | −1.06237 | − | 0.413935i | ||||
\(807\) | −26.5991 | −0.936333 | ||||||||
\(808\) | −12.4643 | − | 9.05587i | −0.438494 | − | 0.318584i | ||||
\(809\) | 19.5729 | − | 14.2205i | 0.688146 | − | 0.499967i | −0.187904 | − | 0.982187i | \(-0.560169\pi\) |
0.876050 | + | 0.482220i | \(0.160169\pi\) | |||||||
\(810\) | −0.309017 | − | 0.951057i | −0.0108578 | − | 0.0334167i | ||||
\(811\) | 36.1618 | 1.26981 | 0.634907 | − | 0.772589i | \(-0.281039\pi\) | ||||
0.634907 | + | 0.772589i | \(0.281039\pi\) | |||||||
\(812\) | −14.9481 | −0.524575 | ||||||||
\(813\) | −5.79493 | − | 17.8350i | −0.203237 | − | 0.625500i | ||||
\(814\) | −0.158169 | + | 0.486794i | −0.00554381 | + | 0.0170621i | ||||
\(815\) | 3.96793 | − | 12.2120i | 0.138990 | − | 0.427769i | ||||
\(816\) | −3.45696 | − | 2.51163i | −0.121018 | − | 0.0879246i | ||||
\(817\) | −14.9591 | − | 46.0393i | −0.523352 | − | 1.61071i | ||||
\(818\) | −20.0673 | − | 14.5797i | −0.701636 | − | 0.509769i | ||||
\(819\) | 9.50761 | − | 6.90768i | 0.332223 | − | 0.241374i | ||||
\(820\) | 2.34895 | − | 7.22931i | 0.0820287 | − | 0.252459i | ||||
\(821\) | −36.3404 | + | 26.4029i | −1.26829 | + | 0.921466i | −0.999133 | − | 0.0416300i | \(-0.986745\pi\) |
−0.269157 | + | 0.963096i | \(0.586745\pi\) | |||||||
\(822\) | 4.09593 | − | 2.97586i | 0.142862 | − | 0.103795i | ||||
\(823\) | −4.25998 | + | 13.1109i | −0.148493 | + | 0.457016i | −0.997444 | − | 0.0714570i | \(-0.977235\pi\) |
0.848950 | + | 0.528473i | \(0.177235\pi\) | |||||||
\(824\) | 3.11826 | − | 2.26555i | 0.108630 | − | 0.0789241i | ||||
\(825\) | 2.83822 | + | 2.06209i | 0.0988143 | + | 0.0717928i | ||||
\(826\) | −1.52353 | − | 4.68894i | −0.0530104 | − | 0.163149i | ||||
\(827\) | 28.4141 | + | 20.6440i | 0.988054 | + | 0.717863i | 0.959494 | − | 0.281729i | \(-0.0909080\pi\) |
0.0285595 | + | 0.999592i | \(0.490908\pi\) | |||||||
\(828\) | −2.75050 | + | 8.46516i | −0.0955864 | + | 0.294185i | ||||
\(829\) | −17.1407 | + | 52.7536i | −0.595320 | + | 1.83221i | −0.0421932 | + | 0.999109i | \(0.513434\pi\) |
−0.553127 | + | 0.833097i | \(0.686566\pi\) | |||||||
\(830\) | −4.30906 | − | 13.2619i | −0.149570 | − | 0.460328i | ||||
\(831\) | −12.9504 | −0.449243 | ||||||||
\(832\) | −5.81370 | −0.201554 | ||||||||
\(833\) | 3.84746 | + | 11.8413i | 0.133307 | + | 0.410276i | ||||
\(834\) | −13.2361 | + | 9.61661i | −0.458330 | + | 0.332996i | ||||
\(835\) | 11.1771 | + | 8.12065i | 0.386800 | + | 0.281027i | ||||
\(836\) | 26.9179 | 0.930975 | ||||||||
\(837\) | 0.319304 | − | 5.55860i | 0.0110367 | − | 0.192133i | ||||
\(838\) | −6.02939 | −0.208282 | ||||||||
\(839\) | −37.9881 | − | 27.6000i | −1.31150 | − | 0.952858i | −0.999997 | − | 0.00261167i | \(-0.999169\pi\) |
−0.311500 | − | 0.950246i | \(-0.600831\pi\) | |||||||
\(840\) | −1.63538 | + | 1.18817i | −0.0564260 | + | 0.0409959i | ||||
\(841\) | 7.93631 | + | 24.4255i | 0.273666 | + | 0.842257i | ||||
\(842\) | −21.6337 | −0.745548 | ||||||||
\(843\) | −14.9481 | −0.514841 | ||||||||
\(844\) | 1.65613 | + | 5.09704i | 0.0570063 | + | 0.175447i | ||||
\(845\) | −6.42726 | + | 19.7811i | −0.221105 | + | 0.680490i | ||||
\(846\) | 0.273231 | − | 0.840919i | 0.00939388 | − | 0.0289114i | ||||
\(847\) | −2.13865 | − | 1.55382i | −0.0734847 | − | 0.0533898i | ||||
\(848\) | 0.994498 | + | 3.06075i | 0.0341512 | + | 0.105107i | ||||
\(849\) | −11.3856 | − | 8.27212i | −0.390753 | − | 0.283899i | ||||
\(850\) | 3.45696 | − | 2.51163i | 0.118573 | − | 0.0861482i | ||||
\(851\) | 0.401292 | − | 1.23505i | 0.0137561 | − | 0.0423370i | ||||
\(852\) | 11.5009 | − | 8.35587i | 0.394013 | − | 0.286267i | ||||
\(853\) | 27.4793 | − | 19.9649i | 0.940874 | − | 0.683585i | −0.00775651 | − | 0.999970i | \(-0.502469\pi\) |
0.948631 | + | 0.316385i | \(0.102469\pi\) | |||||||
\(854\) | −0.0580058 | + | 0.178523i | −0.00198492 | + | 0.00610895i | ||||
\(855\) | 6.20740 | − | 4.50994i | 0.212289 | − | 0.154237i | ||||
\(856\) | 0.596770 | + | 0.433579i | 0.0203972 | + | 0.0148194i | ||||
\(857\) | −1.68697 | − | 5.19197i | −0.0576259 | − | 0.177354i | 0.918100 | − | 0.396348i | \(-0.129723\pi\) |
−0.975726 | + | 0.218994i | \(0.929723\pi\) | |||||||
\(858\) | −16.5006 | − | 11.9884i | −0.563320 | − | 0.409276i | ||||
\(859\) | 7.28779 | − | 22.4295i | 0.248656 | − | 0.765285i | −0.746357 | − | 0.665545i | \(-0.768199\pi\) |
0.995014 | − | 0.0997397i | \(-0.0318010\pi\) | |||||||
\(860\) | 1.94963 | − | 6.00035i | 0.0664819 | − | 0.204610i | ||||
\(861\) | 4.74826 | + | 14.6136i | 0.161820 | + | 0.498031i | ||||
\(862\) | −21.4171 | −0.729470 | ||||||||
\(863\) | −31.7061 | −1.07929 | −0.539644 | − | 0.841893i | \(-0.681441\pi\) | ||||
−0.539644 | + | 0.841893i | \(0.681441\pi\) | |||||||
\(864\) | −0.309017 | − | 0.951057i | −0.0105130 | − | 0.0323556i | ||||
\(865\) | 2.48081 | − | 1.80241i | 0.0843501 | − | 0.0612839i | ||||
\(866\) | 7.74414 | + | 5.62645i | 0.263157 | + | 0.191195i | ||||
\(867\) | −1.25887 | −0.0427534 | ||||||||
\(868\) | −10.8859 | + | 2.85837i | −0.369492 | + | 0.0970195i | ||||
\(869\) | −28.5966 | −0.970074 | ||||||||
\(870\) | 5.98249 | + | 4.34653i | 0.202825 | + | 0.147361i | ||||
\(871\) | 1.89666 | − | 1.37800i | 0.0642658 | − | 0.0466918i | ||||
\(872\) | −1.47980 | − | 4.55435i | −0.0501123 | − | 0.154230i | ||||
\(873\) | −3.70741 | −0.125477 | ||||||||
\(874\) | −68.2937 | −2.31007 | ||||||||
\(875\) | −0.624660 | − | 1.92251i | −0.0211174 | − | 0.0649926i | ||||
\(876\) | −2.11437 | + | 6.50737i | −0.0714381 | + | 0.219864i | ||||
\(877\) | 9.97614 | − | 30.7034i | 0.336870 | − | 1.03678i | −0.628923 | − | 0.777467i | \(-0.716504\pi\) |
0.965793 | − | 0.259313i | \(-0.0834960\pi\) | |||||||
\(878\) | 20.6614 | + | 15.0114i | 0.697288 | + | 0.506609i | ||||
\(879\) | −3.93551 | − | 12.1123i | −0.132741 | − | 0.408536i | ||||
\(880\) | 2.83822 | + | 2.06209i | 0.0956765 | + | 0.0695131i | ||||
\(881\) | −32.4063 | + | 23.5445i | −1.09179 | + | 0.793235i | −0.979701 | − | 0.200462i | \(-0.935756\pi\) |
−0.112093 | + | 0.993698i | \(0.535756\pi\) | |||||||
\(882\) | −0.900404 | + | 2.77116i | −0.0303182 | + | 0.0933098i | ||||
\(883\) | 9.13498 | − | 6.63695i | 0.307417 | − | 0.223351i | −0.423371 | − | 0.905957i | \(-0.639153\pi\) |
0.730787 | + | 0.682605i | \(0.239153\pi\) | |||||||
\(884\) | −20.0977 | + | 14.6019i | −0.675960 | + | 0.491113i | ||||
\(885\) | −0.753684 | + | 2.31960i | −0.0253348 | + | 0.0779726i | ||||
\(886\) | 7.05821 | − | 5.12809i | 0.237125 | − | 0.172282i | ||||
\(887\) | 46.5074 | + | 33.7896i | 1.56157 | + | 1.13454i | 0.934711 | + | 0.355410i | \(0.115659\pi\) |
0.626856 | + | 0.779135i | \(0.284341\pi\) | |||||||
\(888\) | 0.0450850 | + | 0.138757i | 0.00151295 | + | 0.00465639i | ||||
\(889\) | −24.8205 | − | 18.0331i | −0.832453 | − | 0.604812i | ||||
\(890\) | −3.54332 | + | 10.9052i | −0.118772 | + | 0.365544i | ||||
\(891\) | 1.08411 | − | 3.33653i | 0.0363189 | − | 0.111778i | ||||
\(892\) | −1.68031 | − | 5.17147i | −0.0562611 | − | 0.173154i | ||||
\(893\) | 6.78422 | 0.227025 | ||||||||
\(894\) | 17.4579 | 0.583881 | ||||||||
\(895\) | −3.76059 | − | 11.5739i | −0.125703 | − | 0.386873i | ||||
\(896\) | −1.63538 | + | 1.18817i | −0.0546343 | + | 0.0396941i | ||||
\(897\) | 41.8638 | + | 30.4158i | 1.39779 | + | 1.01556i | ||||
\(898\) | 0.891099 | 0.0297364 | ||||||||
\(899\) | 22.2504 | + | 34.6421i | 0.742092 | + | 1.15538i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | 11.1254 | + | 8.08308i | 0.370641 | + | 0.269287i | ||||
\(902\) | 21.5743 | − | 15.6747i | 0.718347 | − | 0.521909i | ||||
\(903\) | 3.94107 | + | 12.1294i | 0.131151 | + | 0.403640i | ||||
\(904\) | 6.76928 | 0.225143 | ||||||||
\(905\) | −10.6347 | −0.353510 | ||||||||
\(906\) | −3.07424 | − | 9.46153i | −0.102135 | − | 0.314338i | ||||
\(907\) | 3.77463 | − | 11.6171i | 0.125335 | − | 0.385740i | −0.868627 | − | 0.495466i | \(-0.834997\pi\) |
0.993962 | + | 0.109726i | \(0.0349973\pi\) | |||||||
\(908\) | 3.66801 | − | 11.2890i | 0.121727 | − | 0.374638i | ||||
\(909\) | −12.4643 | − | 9.05587i | −0.413416 | − | 0.300364i | ||||
\(910\) | 3.63158 | + | 11.1769i | 0.120386 | + | 0.370510i | ||||
\(911\) | 7.81943 | + | 5.68115i | 0.259069 | + | 0.188225i | 0.709737 | − | 0.704467i | \(-0.248814\pi\) |
−0.450667 | + | 0.892692i | \(0.648814\pi\) | |||||||
\(912\) | 6.20740 | − | 4.50994i | 0.205547 | − | 0.149339i | ||||
\(913\) | 15.1172 | − | 46.5259i | 0.500306 | − | 1.53978i | ||||
\(914\) | −15.8186 | + | 11.4929i | −0.523234 | + | 0.380152i | ||||
\(915\) | 0.0751251 | − | 0.0545816i | 0.00248356 | − | 0.00180441i | ||||
\(916\) | −2.12586 | + | 6.54273i | −0.0702405 | + | 0.216178i | ||||
\(917\) | 3.21909 | − | 2.33881i | 0.106304 | − | 0.0772342i | ||||
\(918\) | −3.45696 | − | 2.51163i | −0.114097 | − | 0.0828961i | ||||
\(919\) | 5.17560 | + | 15.9289i | 0.170727 | + | 0.525445i | 0.999413 | − | 0.0342703i | \(-0.0109107\pi\) |
−0.828685 | + | 0.559715i | \(0.810911\pi\) | |||||||
\(920\) | −7.20090 | − | 5.23176i | −0.237407 | − | 0.172486i | ||||
\(921\) | 1.14589 | − | 3.52668i | 0.0377583 | − | 0.116208i | ||||
\(922\) | 6.68503 | − | 20.5744i | 0.220160 | − | 0.677582i | ||||
\(923\) | −25.5392 | − | 78.6016i | −0.840634 | − | 2.58720i | ||||
\(924\) | −7.09170 | −0.233300 | ||||||||
\(925\) | −0.145898 | −0.00479710 | ||||||||
\(926\) | −7.77299 | − | 23.9228i | −0.255436 | − | 0.786152i | ||||
\(927\) | 3.11826 | − | 2.26555i | 0.102417 | − | 0.0744104i | ||||
\(928\) | 5.98249 | + | 4.34653i | 0.196385 | + | 0.142682i | ||||
\(929\) | −26.7225 | −0.876737 | −0.438368 | − | 0.898795i | \(-0.644443\pi\) | ||||
−0.438368 | + | 0.898795i | \(0.644443\pi\) | |||||||
\(930\) | 5.18787 | + | 2.02138i | 0.170117 | + | 0.0662836i | ||||
\(931\) | −22.3567 | −0.732710 | ||||||||
\(932\) | 0.274963 | + | 0.199772i | 0.00900672 | + | 0.00654377i | ||||
\(933\) | −17.3265 | + | 12.5885i | −0.567245 | + | 0.412128i | ||||
\(934\) | −10.0783 | − | 31.0178i | −0.329772 | − | 1.01493i | ||||
\(935\) | 14.9908 | 0.490253 | ||||||||
\(936\) | −5.81370 | −0.190027 | ||||||||
\(937\) | 6.47494 | + | 19.9278i | 0.211527 | + | 0.651014i | 0.999382 | + | 0.0351525i | \(0.0111917\pi\) |
−0.787855 | + | 0.615861i | \(0.788808\pi\) | |||||||
\(938\) | 0.251897 | − | 0.775259i | 0.00822473 | − | 0.0253131i | ||||
\(939\) | 10.1154 | − | 31.1321i | 0.330105 | − | 1.01596i | ||||
\(940\) | 0.715329 | + | 0.519717i | 0.0233315 | + | 0.0169513i | ||||
\(941\) | 7.02736 | + | 21.6280i | 0.229085 | + | 0.705052i | 0.997851 | + | 0.0655216i | \(0.0208711\pi\) |
−0.768766 | + | 0.639530i | \(0.779129\pi\) | |||||||
\(942\) | 17.9063 | + | 13.0097i | 0.583418 | + | 0.423878i | ||||
\(943\) | −54.7365 | + | 39.7684i | −1.78247 | + | 1.29504i | ||||
\(944\) | −0.753684 | + | 2.31960i | −0.0245303 | + | 0.0754966i | ||||
\(945\) | −1.63538 | + | 1.18817i | −0.0531990 | + | 0.0386513i | ||||
\(946\) | 17.9068 | − | 13.0100i | 0.582199 | − | 0.422992i | ||||
\(947\) | −5.81217 | + | 17.8880i | −0.188870 | + | 0.581283i | −0.999994 | − | 0.00359249i | \(-0.998856\pi\) |
0.811123 | + | 0.584875i | \(0.198856\pi\) | |||||||
\(948\) | −6.59452 | + | 4.79120i | −0.214180 | + | 0.155611i | ||||
\(949\) | 32.1817 | + | 23.3814i | 1.04466 | + | 0.758992i | ||||
\(950\) | 2.37101 | + | 7.29723i | 0.0769259 | + | 0.236754i | ||||
\(951\) | −19.7656 | − | 14.3606i | −0.640945 | − | 0.465674i | ||||
\(952\) | −2.66920 | + | 8.21495i | −0.0865092 | + | 0.266248i | ||||
\(953\) | −9.50112 | + | 29.2414i | −0.307772 | + | 0.947223i | 0.670857 | + | 0.741587i | \(0.265926\pi\) |
−0.978628 | + | 0.205637i | \(0.934074\pi\) | |||||||
\(954\) | 0.994498 | + | 3.06075i | 0.0321981 | + | 0.0990954i | ||||
\(955\) | −9.21926 | −0.298328 | ||||||||
\(956\) | 26.8147 | 0.867250 | ||||||||
\(957\) | 8.01670 | + | 24.6729i | 0.259143 | + | 0.797560i | ||||
\(958\) | −12.2880 | + | 8.92773i | −0.397006 | + | 0.288442i | ||||
\(959\) | −8.27968 | − | 6.01554i | −0.267365 | − | 0.194252i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | 22.8281 | + | 20.9733i | 0.736389 | + | 0.676558i | ||||
\(962\) | 0.848207 | 0.0273473 | ||||||||
\(963\) | 0.596770 | + | 0.433579i | 0.0192306 | + | 0.0139719i | ||||
\(964\) | 19.5061 | − | 14.1720i | 0.628249 | − | 0.456450i | ||||
\(965\) | −1.95257 | − | 6.00938i | −0.0628553 | − | 0.193449i | ||||
\(966\) | 17.9925 | 0.578898 | ||||||||
\(967\) | 48.3123 | 1.55362 | 0.776810 | − | 0.629735i | \(-0.216836\pi\) | ||||
0.776810 | + | 0.629735i | \(0.216836\pi\) | |||||||
\(968\) | 0.404112 | + | 1.24373i | 0.0129887 | + | 0.0399750i | ||||
\(969\) | 10.1314 | − | 31.1814i | 0.325469 | − | 1.00169i | ||||
\(970\) | 1.14565 | − | 3.52596i | 0.0367847 | − | 0.113212i | ||||
\(971\) | −8.85523 | − | 6.43370i | −0.284178 | − | 0.206467i | 0.436560 | − | 0.899675i | \(-0.356197\pi\) |
−0.720738 | + | 0.693208i | \(0.756197\pi\) | |||||||
\(972\) | −0.309017 | − | 0.951057i | −0.00991172 | − | 0.0305052i | ||||
\(973\) | 26.7561 | + | 19.4394i | 0.857760 | + | 0.623199i | ||||
\(974\) | 9.34678 | − | 6.79083i | 0.299490 | − | 0.217592i | ||||
\(975\) | 1.79653 | − | 5.52915i | 0.0575350 | − | 0.177075i | ||||
\(976\) | 0.0751251 | − | 0.0545816i | 0.00240470 | − | 0.00174711i | ||||
\(977\) | 44.7762 | − | 32.5318i | 1.43252 | − | 1.04078i | 0.442975 | − | 0.896534i | \(-0.353923\pi\) |
0.989541 | − | 0.144250i | \(-0.0460769\pi\) | |||||||
\(978\) | 3.96793 | − | 12.2120i | 0.126880 | − | 0.390498i | ||||
\(979\) | −32.5443 | + | 23.6448i | −1.04012 | + | 0.755691i | ||||
\(980\) | −2.35729 | − | 1.71267i | −0.0753008 | − | 0.0547093i | ||||
\(981\) | −1.47980 | − | 4.55435i | −0.0472463 | − | 0.145409i | ||||
\(982\) | −29.2608 | − | 21.2592i | −0.933748 | − | 0.678408i | ||||
\(983\) | 1.71227 | − | 5.26982i | 0.0546129 | − | 0.168081i | −0.920030 | − | 0.391849i | \(-0.871836\pi\) |
0.974643 | + | 0.223768i | \(0.0718356\pi\) | |||||||
\(984\) | 2.34895 | − | 7.22931i | 0.0748817 | − | 0.230462i | ||||
\(985\) | −4.82206 | − | 14.8408i | −0.153644 | − | 0.472867i | ||||
\(986\) | 31.5981 | 1.00629 | ||||||||
\(987\) | −1.78735 | −0.0568920 | ||||||||
\(988\) | −13.7844 | − | 42.4239i | −0.438539 | − | 1.34968i | ||||
\(989\) | −45.4315 | + | 33.0079i | −1.44464 | + | 1.04959i | ||||
\(990\) | 2.83822 | + | 2.06209i | 0.0902047 | + | 0.0655375i | ||||
\(991\) | −15.8018 | −0.501961 | −0.250981 | − | 0.967992i | \(-0.580753\pi\) | ||||
−0.250981 | + | 0.967992i | \(0.580753\pi\) | |||||||
\(992\) | 5.18787 | + | 2.02138i | 0.164715 | + | 0.0641788i | ||||
\(993\) | 6.68924 | 0.212277 | ||||||||
\(994\) | −23.2483 | − | 16.8909i | −0.737393 | − | 0.535747i | ||||
\(995\) | 19.6984 | − | 14.3117i | 0.624480 | − | 0.453711i | ||||
\(996\) | −4.30906 | − | 13.2619i | −0.136538 | − | 0.420220i | ||||
\(997\) | 37.1625 | 1.17695 | 0.588474 | − | 0.808516i | \(-0.299729\pi\) | ||||
0.588474 | + | 0.808516i | \(0.299729\pi\) | |||||||
\(998\) | 22.6872 | 0.718150 | ||||||||
\(999\) | 0.0450850 | + | 0.138757i | 0.00142643 | + | 0.00439009i |
(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.n.d.901.3 | yes | 12 | |
31.16 | even | 5 | inner | 930.2.n.d.481.3 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.n.d.481.3 | ✓ | 12 | 31.16 | even | 5 | inner | |
930.2.n.d.901.3 | yes | 12 | 1.1 | even | 1 | trivial |