Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [980,2,Mod(67,980)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(980, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("980.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 980 = 2^{2} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 980.x (of order \(12\), degree \(4\), not 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: | \(7.82533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 667.14 | ||
Character | \(\chi\) | \(=\) | 980.667 |
Dual form | 980.2.x.k.263.14 |
$q$-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 \(\left(\mathbb{Z}/980\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.996542 | − | 1.00345i | 0.704662 | − | 0.709543i | ||||
\(3\) | −0.463343 | + | 1.72922i | −0.267511 | + | 0.998366i | 0.693184 | + | 0.720761i | \(0.256207\pi\) |
−0.960695 | + | 0.277605i | \(0.910459\pi\) | |||||||
\(4\) | −0.0138066 | − | 1.99995i | −0.00690329 | − | 0.999976i | ||||
\(5\) | −1.91033 | + | 1.16218i | −0.854324 | + | 0.519741i | ||||
\(6\) | 1.27344 | + | 2.18818i | 0.519879 | + | 0.893322i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −2.02060 | − | 1.97918i | −0.714391 | − | 0.699747i | ||||
\(9\) | −0.177443 | − | 0.102447i | −0.0591476 | − | 0.0341489i | ||||
\(10\) | −0.737542 | + | 3.07507i | −0.233231 | + | 0.972421i | ||||
\(11\) | −1.83014 | + | 1.05663i | −0.551809 | + | 0.318587i | −0.749851 | − | 0.661606i | \(-0.769875\pi\) |
0.198042 | + | 0.980193i | \(0.436542\pi\) | |||||||
\(12\) | 3.46476 | + | 0.902790i | 1.00019 | + | 0.260613i | ||||
\(13\) | 2.86476 | − | 2.86476i | 0.794542 | − | 0.794542i | −0.187687 | − | 0.982229i | \(-0.560099\pi\) |
0.982229 | + | 0.187687i | \(0.0600992\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.12452 | − | 3.84186i | −0.290350 | − | 0.991965i | ||||
\(16\) | −3.99962 | + | 0.0552250i | −0.999905 | + | 0.0138062i | ||||
\(17\) | −1.63626 | + | 6.10660i | −0.396851 | + | 1.48107i | 0.421753 | + | 0.906711i | \(0.361415\pi\) |
−0.818604 | + | 0.574358i | \(0.805252\pi\) | |||||||
\(18\) | −0.279629 | + | 0.0759618i | −0.0659092 | + | 0.0179044i | ||||
\(19\) | −1.47623 | + | 2.55691i | −0.338671 | + | 0.586595i | −0.984183 | − | 0.177155i | \(-0.943311\pi\) |
0.645512 | + | 0.763750i | \(0.276644\pi\) | |||||||
\(20\) | 2.35067 | + | 3.80452i | 0.525626 | + | 0.850716i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.763541 | + | 2.88943i | −0.162788 | + | 0.616029i | ||||
\(23\) | −5.38640 | + | 1.44328i | −1.12314 | + | 0.300945i | −0.772154 | − | 0.635435i | \(-0.780821\pi\) |
−0.350988 | + | 0.936380i | \(0.614154\pi\) | |||||||
\(24\) | 4.35868 | − | 2.57703i | 0.889711 | − | 0.526033i | ||||
\(25\) | 2.29870 | − | 4.44027i | 0.459740 | − | 0.888054i | ||||
\(26\) | −0.0197764 | − | 5.72949i | −0.00387847 | − | 1.12364i | ||||
\(27\) | −3.53826 | + | 3.53826i | −0.680939 | + | 0.680939i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.86818i | 0.532607i | 0.963889 | + | 0.266303i | \(0.0858023\pi\) | ||||
−0.963889 | + | 0.266303i | \(0.914198\pi\) | |||||||
\(30\) | −4.97573 | − | 2.70019i | −0.908441 | − | 0.492984i | ||||
\(31\) | −5.20796 | + | 3.00682i | −0.935378 | + | 0.540041i | −0.888508 | − | 0.458860i | \(-0.848258\pi\) |
−0.0468695 | + | 0.998901i | \(0.514924\pi\) | |||||||
\(32\) | −3.93037 | + | 4.06843i | −0.694799 | + | 0.719204i | ||||
\(33\) | −0.979169 | − | 3.65431i | −0.170451 | − | 0.636133i | ||||
\(34\) | 4.49704 | + | 7.72739i | 0.771237 | + | 1.32524i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.202439 | + | 0.356292i | −0.0337398 | + | 0.0593819i | ||||
\(37\) | −5.34722 | + | 1.43278i | −0.879078 | + | 0.235548i | −0.670009 | − | 0.742353i | \(-0.733710\pi\) |
−0.209069 | + | 0.977901i | \(0.567043\pi\) | |||||||
\(38\) | 1.09459 | + | 4.02938i | 0.177566 | + | 0.653652i | ||||
\(39\) | 3.62644 | + | 6.28117i | 0.580695 | + | 1.00579i | ||||
\(40\) | 6.16017 | + | 1.43259i | 0.974008 | + | 0.226513i | ||||
\(41\) | −7.98984 | −1.24780 | −0.623902 | − | 0.781503i | \(-0.714453\pi\) | ||||
−0.623902 | + | 0.781503i | \(0.714453\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.64967 | + | 5.64967i | 0.861567 | + | 0.861567i | 0.991520 | − | 0.129954i | \(-0.0414828\pi\) |
−0.129954 | + | 0.991520i | \(0.541483\pi\) | |||||||
\(44\) | 2.13849 | + | 3.64561i | 0.322389 | + | 0.549597i | ||||
\(45\) | 0.458035 | − | 0.0105130i | 0.0682798 | − | 0.00156719i | ||||
\(46\) | −3.91952 | + | 6.84325i | −0.577902 | + | 1.00898i | ||||
\(47\) | −1.57515 | − | 5.87853i | −0.229759 | − | 0.857472i | −0.980442 | − | 0.196810i | \(-0.936942\pi\) |
0.750683 | − | 0.660663i | \(-0.229725\pi\) | |||||||
\(48\) | 1.75770 | − | 6.94181i | 0.253702 | − | 1.00196i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −2.16482 | − | 6.73153i | −0.306152 | − | 0.951983i | ||||
\(51\) | −9.80152 | − | 5.65891i | −1.37249 | − | 0.792406i | ||||
\(52\) | −5.76894 | − | 5.68983i | −0.800008 | − | 0.789038i | ||||
\(53\) | 0.766587 | + | 0.205406i | 0.105299 | + | 0.0282147i | 0.311084 | − | 0.950383i | \(-0.399308\pi\) |
−0.205785 | + | 0.978597i | \(0.565975\pi\) | |||||||
\(54\) | 0.0244258 | + | 7.07649i | 0.00332393 | + | 0.962988i | ||||
\(55\) | 2.26818 | − | 4.14546i | 0.305841 | − | 0.558974i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.73746 | − | 3.73746i | −0.495038 | − | 0.495038i | ||||
\(58\) | 2.87806 | + | 2.85826i | 0.377908 | + | 0.375308i | ||||
\(59\) | −2.48910 | − | 4.31124i | −0.324053 | − | 0.561276i | 0.657268 | − | 0.753657i | \(-0.271712\pi\) |
−0.981320 | + | 0.192382i | \(0.938379\pi\) | |||||||
\(60\) | −7.66802 | + | 2.30203i | −0.989937 | + | 0.297191i | ||||
\(61\) | −0.843662 | + | 1.46127i | −0.108020 | + | 0.187096i | −0.914968 | − | 0.403526i | \(-0.867784\pi\) |
0.806948 | + | 0.590622i | \(0.201118\pi\) | |||||||
\(62\) | −2.17278 | + | 8.22233i | −0.275943 | + | 1.04424i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.165668 | + | 7.99828i | 0.0207085 | + | 0.999786i | ||||
\(65\) | −2.14328 | + | 8.80198i | −0.265841 | + | 1.09175i | ||||
\(66\) | −4.64268 | − | 2.65913i | −0.571475 | − | 0.327316i | ||||
\(67\) | 11.0122 | + | 2.95071i | 1.34535 | + | 0.360486i | 0.858417 | − | 0.512952i | \(-0.171448\pi\) |
0.486935 | + | 0.873438i | \(0.338115\pi\) | |||||||
\(68\) | 12.2355 | + | 3.18813i | 1.48377 | + | 0.386618i | ||||
\(69\) | − | 9.98301i | − | 1.20181i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.610925i | 0.0725035i | 0.999343 | + | 0.0362518i | \(0.0115418\pi\) | ||||
−0.999343 | + | 0.0362518i | \(0.988458\pi\) | |||||||
\(72\) | 0.155781 | + | 0.558196i | 0.0183589 | + | 0.0657840i | ||||
\(73\) | 4.41548 | + | 1.18312i | 0.516793 | + | 0.138474i | 0.507783 | − | 0.861485i | \(-0.330465\pi\) |
0.00901016 | + | 0.999959i | \(0.497132\pi\) | |||||||
\(74\) | −3.89101 | + | 6.79348i | −0.452321 | + | 0.789726i | ||||
\(75\) | 6.61312 | + | 6.03233i | 0.763617 | + | 0.696553i | ||||
\(76\) | 5.13407 | + | 2.91709i | 0.588919 | + | 0.334613i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 9.91671 | + | 2.62052i | 1.12285 | + | 0.296716i | ||||
\(79\) | 7.12694 | − | 12.3442i | 0.801843 | − | 1.38883i | −0.116558 | − | 0.993184i | \(-0.537186\pi\) |
0.918401 | − | 0.395650i | \(-0.129481\pi\) | |||||||
\(80\) | 7.57640 | − | 4.75376i | 0.847067 | − | 0.531486i | ||||
\(81\) | −4.78635 | − | 8.29020i | −0.531817 | − | 0.921133i | ||||
\(82\) | −7.96221 | + | 8.01737i | −0.879279 | + | 0.885370i | ||||
\(83\) | 5.51624 | + | 5.51624i | 0.605486 | + | 0.605486i | 0.941763 | − | 0.336277i | \(-0.109168\pi\) |
−0.336277 | + | 0.941763i | \(0.609168\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.97115 | − | 13.5672i | −0.430732 | − | 1.47157i | ||||
\(86\) | 11.2993 | − | 0.0390015i | 1.21843 | − | 0.00420564i | ||||
\(87\) | −4.95971 | − | 1.32895i | −0.531737 | − | 0.142478i | ||||
\(88\) | 5.78927 | + | 1.48715i | 0.617138 | + | 0.158531i | ||||
\(89\) | −1.80030 | − | 1.03940i | −0.190831 | − | 0.110176i | 0.401540 | − | 0.915841i | \(-0.368475\pi\) |
−0.592372 | + | 0.805665i | \(0.701808\pi\) | |||||||
\(90\) | 0.445902 | − | 0.470090i | 0.0470022 | − | 0.0495518i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 2.96086 | + | 10.7526i | 0.308691 | + | 1.12104i | ||||
\(93\) | −2.78638 | − | 10.3989i | −0.288934 | − | 1.07832i | ||||
\(94\) | −7.46849 | − | 4.27763i | −0.770316 | − | 0.441204i | ||||
\(95\) | −0.151490 | − | 6.60017i | −0.0155426 | − | 0.677163i | ||||
\(96\) | −5.21411 | − | 8.68157i | −0.532163 | − | 0.886059i | ||||
\(97\) | −1.95542 | − | 1.95542i | −0.198543 | − | 0.198543i | 0.600832 | − | 0.799375i | \(-0.294836\pi\) |
−0.799375 | + | 0.600832i | \(0.794836\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.432994 | 0.0435176 | ||||||||
\(100\) | −8.91206 | − | 4.53598i | −0.891206 | − | 0.453598i | ||||
\(101\) | −0.631568 | − | 1.09391i | −0.0628434 | − | 0.108848i | 0.832892 | − | 0.553436i | \(-0.186684\pi\) |
−0.895735 | + | 0.444588i | \(0.853350\pi\) | |||||||
\(102\) | −15.4460 | + | 4.19595i | −1.52939 | + | 0.415461i | ||||
\(103\) | 12.5525 | − | 3.36344i | 1.23684 | − | 0.331409i | 0.419599 | − | 0.907710i | \(-0.362171\pi\) |
0.817238 | + | 0.576300i | \(0.195504\pi\) | |||||||
\(104\) | −11.4584 | + | 0.118656i | −1.12359 | + | 0.0116352i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.970051 | − | 0.564533i | 0.0942197 | − | 0.0548322i | ||||
\(107\) | 5.00010 | + | 18.6606i | 0.483378 | + | 1.80399i | 0.587255 | + | 0.809402i | \(0.300209\pi\) |
−0.103877 | + | 0.994590i | \(0.533125\pi\) | |||||||
\(108\) | 7.12521 | + | 7.02751i | 0.685624 | + | 0.676222i | ||||
\(109\) | 11.7830 | − | 6.80291i | 1.12860 | − | 0.651600i | 0.185021 | − | 0.982735i | \(-0.440765\pi\) |
0.943584 | + | 0.331134i | \(0.107431\pi\) | |||||||
\(110\) | −1.89941 | − | 6.40713i | −0.181102 | − | 0.610895i | ||||
\(111\) | − | 9.91040i | − | 0.940654i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.72607 | + | 7.72607i | −0.726807 | + | 0.726807i | −0.969982 | − | 0.243175i | \(-0.921811\pi\) |
0.243175 | + | 0.969982i | \(0.421811\pi\) | |||||||
\(114\) | −7.47487 | + | 0.0258009i | −0.700086 | + | 0.00241647i | ||||
\(115\) | 8.61244 | − | 9.01708i | 0.803114 | − | 0.840847i | ||||
\(116\) | 5.73621 | − | 0.0395997i | 0.532594 | − | 0.00367674i | ||||
\(117\) | −0.801816 | + | 0.214846i | −0.0741279 | + | 0.0198625i | ||||
\(118\) | −6.80658 | − | 1.79866i | −0.626597 | − | 0.165580i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.33154 | + | 9.98851i | −0.486701 | + | 0.911822i | ||||
\(121\) | −3.26705 | + | 5.65869i | −0.297004 | + | 0.514427i | ||||
\(122\) | 0.625556 | + | 2.30278i | 0.0566352 | + | 0.208484i | ||||
\(123\) | 3.70204 | − | 13.8162i | 0.333802 | − | 1.24576i | ||||
\(124\) | 6.08540 | + | 10.3742i | 0.546485 | + | 0.931628i | ||||
\(125\) | 0.769107 | + | 11.1539i | 0.0687910 | + | 0.997631i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.84193 | + | 3.84193i | −0.340917 | + | 0.340917i | −0.856712 | − | 0.515795i | \(-0.827496\pi\) |
0.515795 | + | 0.856712i | \(0.327496\pi\) | |||||||
\(128\) | 8.19094 | + | 7.80439i | 0.723984 | + | 0.689817i | ||||
\(129\) | −12.3873 | + | 7.15179i | −1.09064 | + | 0.629680i | ||||
\(130\) | 6.69645 | + | 10.9222i | 0.587317 | + | 0.957941i | ||||
\(131\) | −10.0683 | − | 5.81295i | −0.879674 | − | 0.507880i | −0.00912320 | − | 0.999958i | \(-0.502904\pi\) |
−0.870551 | + | 0.492078i | \(0.836237\pi\) | |||||||
\(132\) | −7.29492 | + | 2.00874i | −0.634942 | + | 0.174839i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 13.9350 | − | 8.10963i | 1.20380 | − | 0.700565i | ||||
\(135\) | 2.64716 | − | 10.8713i | 0.227831 | − | 0.935654i | ||||
\(136\) | 15.3923 | − | 9.10056i | 1.31988 | − | 0.780367i | ||||
\(137\) | 5.52298 | − | 20.6120i | 0.471860 | − | 1.76101i | −0.161219 | − | 0.986919i | \(-0.551543\pi\) |
0.633079 | − | 0.774087i | \(-0.281791\pi\) | |||||||
\(138\) | −10.0174 | − | 9.94849i | −0.852738 | − | 0.846872i | ||||
\(139\) | 5.05787 | 0.429003 | 0.214501 | − | 0.976724i | \(-0.431187\pi\) | ||||
0.214501 | + | 0.976724i | \(0.431187\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 10.8951 | 0.917535 | ||||||||
\(142\) | 0.613030 | + | 0.608813i | 0.0514444 | + | 0.0510905i | ||||
\(143\) | −2.21592 | + | 8.26993i | −0.185305 | + | 0.691566i | ||||
\(144\) | 0.715361 | + | 0.399948i | 0.0596134 | + | 0.0333290i | ||||
\(145\) | −3.33332 | − | 5.47915i | −0.276817 | − | 0.455019i | ||||
\(146\) | 5.58741 | − | 3.25166i | 0.462418 | − | 0.269109i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.93933 | + | 10.6744i | 0.241611 | + | 0.877431i | ||||
\(149\) | 6.53199 | + | 3.77124i | 0.535121 | + | 0.308952i | 0.743099 | − | 0.669181i | \(-0.233355\pi\) |
−0.207978 | + | 0.978133i | \(0.566688\pi\) | |||||||
\(150\) | 12.6434 | − | 0.624439i | 1.03233 | − | 0.0509852i | ||||
\(151\) | −12.0674 | + | 6.96711i | −0.982030 | + | 0.566975i | −0.902883 | − | 0.429887i | \(-0.858553\pi\) |
−0.0791478 | + | 0.996863i | \(0.525220\pi\) | |||||||
\(152\) | 8.04346 | − | 2.24476i | 0.652411 | − | 0.182074i | ||||
\(153\) | 0.915944 | − | 0.915944i | 0.0740496 | − | 0.0740496i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 6.45446 | − | 11.7966i | 0.518435 | − | 0.947524i | ||||
\(156\) | 12.5120 | − | 7.33942i | 1.00176 | − | 0.587624i | ||||
\(157\) | −2.06532 | + | 7.70790i | −0.164831 | + | 0.615157i | 0.833231 | + | 0.552925i | \(0.186488\pi\) |
−0.998062 | + | 0.0622318i | \(0.980178\pi\) | |||||||
\(158\) | −5.28446 | − | 19.4530i | −0.420409 | − | 1.54760i | ||||
\(159\) | −0.710386 | + | 1.23043i | −0.0563373 | + | 0.0975791i | ||||
\(160\) | 2.78007 | − | 12.3398i | 0.219784 | − | 0.975549i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −13.0886 | − | 3.45869i | −1.02833 | − | 0.271741i | ||||
\(163\) | 13.4557 | − | 3.60545i | 1.05393 | − | 0.282400i | 0.310057 | − | 0.950718i | \(-0.399652\pi\) |
0.743876 | + | 0.668318i | \(0.232985\pi\) | |||||||
\(164\) | 0.110312 | + | 15.9793i | 0.00861395 | + | 1.24777i | ||||
\(165\) | 6.11748 | + | 5.84296i | 0.476245 | + | 0.454874i | ||||
\(166\) | 11.0324 | − | 0.0380804i | 0.856282 | − | 0.00295561i | ||||
\(167\) | 14.0288 | − | 14.0288i | 1.08558 | − | 1.08558i | 0.0896054 | − | 0.995977i | \(-0.471439\pi\) |
0.995977 | − | 0.0896054i | \(-0.0285606\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 3.41370i | − | 0.262592i | ||||||
\(170\) | −17.5714 | − | 9.53548i | −1.34767 | − | 0.731338i | ||||
\(171\) | 0.523893 | − | 0.302470i | 0.0400631 | − | 0.0231304i | ||||
\(172\) | 11.2211 | − | 11.3771i | 0.855598 | − | 0.867494i | ||||
\(173\) | 3.24936 | + | 12.1268i | 0.247044 | + | 0.921982i | 0.972345 | + | 0.233550i | \(0.0750342\pi\) |
−0.725300 | + | 0.688432i | \(0.758299\pi\) | |||||||
\(174\) | −6.27609 | + | 3.65244i | −0.475789 | + | 0.276891i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 7.26153 | − | 4.32720i | 0.547358 | − | 0.326175i | ||||
\(177\) | 8.60839 | − | 2.30661i | 0.647046 | − | 0.173376i | ||||
\(178\) | −2.83706 | + | 0.770693i | −0.212647 | + | 0.0577659i | ||||
\(179\) | 1.72867 | + | 2.99414i | 0.129207 | + | 0.223792i | 0.923369 | − | 0.383913i | \(-0.125424\pi\) |
−0.794163 | + | 0.607705i | \(0.792090\pi\) | |||||||
\(180\) | −0.0273495 | − | 0.915902i | −0.00203851 | − | 0.0682673i | ||||
\(181\) | −16.0960 | −1.19640 | −0.598202 | − | 0.801345i | \(-0.704118\pi\) | ||||
−0.598202 | + | 0.801345i | \(0.704118\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.13595 | − | 2.13595i | −0.157894 | − | 0.157894i | ||||
\(184\) | 13.7403 | + | 7.74437i | 1.01295 | + | 0.570923i | ||||
\(185\) | 8.54980 | − | 8.95149i | 0.628594 | − | 0.658127i | ||||
\(186\) | −13.2115 | − | 7.56697i | −0.968713 | − | 0.554838i | ||||
\(187\) | −3.45786 | − | 12.9049i | −0.252863 | − | 0.943699i | ||||
\(188\) | −11.7350 | + | 3.23138i | −0.855866 | + | 0.235673i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.77388 | − | 6.42533i | −0.491429 | − | 0.466143i | ||||
\(191\) | 4.59262 | + | 2.65155i | 0.332310 | + | 0.191860i | 0.656866 | − | 0.754007i | \(-0.271882\pi\) |
−0.324556 | + | 0.945866i | \(0.605215\pi\) | |||||||
\(192\) | −13.9076 | − | 3.41948i | −1.00369 | − | 0.246779i | ||||
\(193\) | −21.6160 | − | 5.79200i | −1.55596 | − | 0.416917i | −0.624576 | − | 0.780964i | \(-0.714728\pi\) |
−0.931381 | + | 0.364047i | \(0.881395\pi\) | |||||||
\(194\) | −3.91081 | + | 0.0134989i | −0.280780 | + | 0.000969164i | ||||
\(195\) | −14.2275 | − | 7.78454i | −1.01885 | − | 0.557462i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.33556 | + | 5.33556i | 0.380143 | + | 0.380143i | 0.871154 | − | 0.491011i | \(-0.163372\pi\) |
−0.491011 | + | 0.871154i | \(0.663372\pi\) | |||||||
\(198\) | 0.431497 | − | 0.434486i | 0.0306652 | − | 0.0308776i | ||||
\(199\) | −5.94289 | − | 10.2934i | −0.421280 | − | 0.729679i | 0.574785 | − | 0.818305i | \(-0.305086\pi\) |
−0.996065 | + | 0.0886258i | \(0.971752\pi\) | |||||||
\(200\) | −13.4329 | + | 4.42247i | −0.949847 | + | 0.312716i | ||||
\(201\) | −10.2048 | + | 17.6753i | −0.719795 | + | 1.24672i | ||||
\(202\) | −1.72706 | − | 0.456381i | −0.121516 | − | 0.0321109i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −11.1822 | + | 19.6807i | −0.782912 | + | 1.37792i | ||||
\(205\) | 15.2632 | − | 9.28559i | 1.06603 | − | 0.648534i | ||||
\(206\) | 9.13409 | − | 15.9476i | 0.636402 | − | 1.11112i | ||||
\(207\) | 1.10364 | + | 0.295719i | 0.0767081 | + | 0.0205539i | ||||
\(208\) | −11.2997 | + | 11.6162i | −0.783496 | + | 0.805435i | ||||
\(209\) | − | 6.23934i | − | 0.431584i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 2.04430i | − | 0.140735i | −0.997521 | − | 0.0703677i | \(-0.977583\pi\) | ||
0.997521 | − | 0.0703677i | \(-0.0224173\pi\) | |||||||
\(212\) | 0.400219 | − | 1.53597i | 0.0274872 | − | 0.105491i | ||||
\(213\) | −1.05643 | − | 0.283068i | −0.0723851 | − | 0.0193955i | ||||
\(214\) | 23.7078 | + | 13.5788i | 1.62063 | + | 0.928227i | ||||
\(215\) | −17.3586 | − | 4.22681i | −1.18385 | − | 0.288266i | ||||
\(216\) | 14.1523 | − | 0.146552i | 0.962942 | − | 0.00997163i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 4.91589 | − | 18.6030i | 0.332946 | − | 1.25995i | ||||
\(219\) | −4.09177 | + | 7.08715i | −0.276496 | + | 0.478905i | ||||
\(220\) | −8.32205 | − | 4.47902i | −0.561072 | − | 0.301975i | ||||
\(221\) | 12.8065 | + | 22.1815i | 0.861456 | + | 1.49209i | ||||
\(222\) | −9.94455 | − | 9.87613i | −0.667434 | − | 0.662843i | ||||
\(223\) | 13.1600 | + | 13.1600i | 0.881261 | + | 0.881261i | 0.993663 | − | 0.112402i | \(-0.0358544\pi\) |
−0.112402 | + | 0.993663i | \(0.535854\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.862778 | + | 0.552400i | −0.0575185 | + | 0.0368267i | ||||
\(226\) | 0.0533356 | + | 15.4520i | 0.00354783 | + | 1.02785i | ||||
\(227\) | 5.37597 | + | 1.44049i | 0.356816 | + | 0.0956085i | 0.432774 | − | 0.901502i | \(-0.357535\pi\) |
−0.0759580 | + | 0.997111i | \(0.524202\pi\) | |||||||
\(228\) | −7.42313 | + | 7.52634i | −0.491609 | + | 0.498444i | ||||
\(229\) | −7.11068 | − | 4.10535i | −0.469887 | − | 0.271289i | 0.246305 | − | 0.969192i | \(-0.420783\pi\) |
−0.716192 | + | 0.697903i | \(0.754117\pi\) | |||||||
\(230\) | −0.465490 | − | 17.6280i | −0.0306935 | − | 1.16236i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.67664 | − | 5.79544i | 0.372690 | − | 0.380489i | ||||
\(233\) | −3.10326 | − | 11.5815i | −0.203302 | − | 0.758732i | −0.989961 | − | 0.141344i | \(-0.954858\pi\) |
0.786659 | − | 0.617388i | \(-0.211809\pi\) | |||||||
\(234\) | −0.583457 | + | 1.01868i | −0.0381418 | + | 0.0665933i | ||||
\(235\) | 9.84094 | + | 9.39932i | 0.641952 | + | 0.613144i | ||||
\(236\) | −8.58791 | + | 5.03760i | −0.559025 | + | 0.327920i | ||||
\(237\) | 18.0437 | + | 18.0437i | 1.17206 | + | 1.17206i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −18.5038 | −1.19691 | −0.598456 | − | 0.801155i | \(-0.704219\pi\) | ||||
−0.598456 | + | 0.801155i | \(0.704219\pi\) | |||||||
\(240\) | 4.70982 | + | 15.3039i | 0.304018 | + | 0.987862i | ||||
\(241\) | −0.0411841 | − | 0.0713330i | −0.00265290 | − | 0.00459496i | 0.864696 | − | 0.502296i | \(-0.167511\pi\) |
−0.867349 | + | 0.497701i | \(0.834178\pi\) | |||||||
\(242\) | 2.42244 | + | 8.91743i | 0.155720 | + | 0.573234i | ||||
\(243\) | 2.05324 | − | 0.550164i | 0.131715 | − | 0.0352930i | ||||
\(244\) | 2.93411 | + | 1.66711i | 0.187837 | + | 0.106726i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −10.1746 | − | 17.4832i | −0.648707 | − | 1.11469i | ||||
\(247\) | 3.09588 | + | 11.5540i | 0.196986 | + | 0.735162i | ||||
\(248\) | 16.4743 | + | 4.23193i | 1.04612 | + | 0.268728i | ||||
\(249\) | −12.0947 | + | 6.98289i | −0.766471 | + | 0.442522i | ||||
\(250\) | 11.9587 | + | 10.3435i | 0.756337 | + | 0.654182i | ||||
\(251\) | 9.07743i | 0.572963i | 0.958086 | + | 0.286481i | \(0.0924856\pi\) | ||||
−0.958086 | + | 0.286481i | \(0.907514\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.33287 | − | 8.33287i | 0.523883 | − | 0.523883i | ||||
\(254\) | 0.0265221 | + | 7.68382i | 0.00166415 | + | 0.482126i | ||||
\(255\) | 25.3008 | − | 0.580715i | 1.58439 | − | 0.0363658i | ||||
\(256\) | 15.9939 | − | 0.441758i | 0.999619 | − | 0.0276099i | ||||
\(257\) | 7.03925 | − | 1.88616i | 0.439097 | − | 0.117656i | −0.0324965 | − | 0.999472i | \(-0.510346\pi\) |
0.471593 | + | 0.881816i | \(0.343679\pi\) | |||||||
\(258\) | −5.16800 | + | 19.5570i | −0.321746 | + | 1.21757i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 17.6331 | + | 4.16492i | 1.09356 | + | 0.258298i | ||||
\(261\) | 0.293835 | − | 0.508937i | 0.0181879 | − | 0.0315024i | ||||
\(262\) | −15.8665 | + | 4.31017i | −0.980236 | + | 0.266283i | ||||
\(263\) | 1.38891 | − | 5.18349i | 0.0856441 | − | 0.319628i | −0.909791 | − | 0.415066i | \(-0.863759\pi\) |
0.995435 | + | 0.0954380i | \(0.0304252\pi\) | |||||||
\(264\) | −5.25403 | + | 9.32186i | −0.323363 | + | 0.573721i | ||||
\(265\) | −1.70315 | + | 0.498515i | −0.104624 | + | 0.0306236i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.63151 | − | 2.63151i | 0.161046 | − | 0.161046i | ||||
\(268\) | 5.74923 | − | 22.0646i | 0.351190 | − | 1.34781i | ||||
\(269\) | 4.69186 | − | 2.70885i | 0.286068 | − | 0.165161i | −0.350099 | − | 0.936713i | \(-0.613852\pi\) |
0.636167 | + | 0.771551i | \(0.280519\pi\) | |||||||
\(270\) | −8.27078 | − | 13.4900i | −0.503343 | − | 0.820976i | ||||
\(271\) | −7.10365 | − | 4.10129i | −0.431516 | − | 0.249136i | 0.268476 | − | 0.963286i | \(-0.413480\pi\) |
−0.699992 | + | 0.714151i | \(0.746813\pi\) | |||||||
\(272\) | 6.20718 | − | 24.5145i | 0.376365 | − | 1.48641i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −15.1792 | − | 26.0828i | −0.917008 | − | 1.57572i | ||||
\(275\) | 0.484792 | + | 10.5552i | 0.0292341 | + | 0.636503i | ||||
\(276\) | −19.9655 | + | 0.137831i | −1.20178 | + | 0.00829646i | ||||
\(277\) | −3.92432 | + | 14.6458i | −0.235790 | + | 0.879979i | 0.742002 | + | 0.670398i | \(0.233877\pi\) |
−0.977791 | + | 0.209581i | \(0.932790\pi\) | |||||||
\(278\) | 5.04038 | − | 5.07530i | 0.302302 | − | 0.304396i | ||||
\(279\) | 1.23215 | 0.0737671 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −23.7586 | −1.41732 | −0.708659 | − | 0.705551i | \(-0.750700\pi\) | ||||
−0.708659 | + | 0.705551i | \(0.750700\pi\) | |||||||
\(282\) | 10.8575 | − | 10.9327i | 0.646552 | − | 0.651031i | ||||
\(283\) | −6.13117 | + | 22.8818i | −0.364460 | + | 1.36018i | 0.503691 | + | 0.863884i | \(0.331975\pi\) |
−0.868151 | + | 0.496300i | \(0.834692\pi\) | |||||||
\(284\) | 1.22182 | − | 0.00843479i | 0.0725018 | − | 0.000500513i | ||||
\(285\) | 11.4833 | + | 2.79618i | 0.680214 | + | 0.165632i | ||||
\(286\) | 6.09016 | + | 10.4649i | 0.360119 | + | 0.618802i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 1.11421 | − | 0.319261i | 0.0656557 | − | 0.0188126i | ||||
\(289\) | −19.8908 | − | 11.4840i | −1.17005 | − | 0.675528i | ||||
\(290\) | −8.81983 | − | 2.11540i | −0.517918 | − | 0.124221i | ||||
\(291\) | 4.28738 | − | 2.47532i | 0.251331 | − | 0.145106i | ||||
\(292\) | 2.30523 | − | 8.84709i | 0.134903 | − | 0.517736i | ||||
\(293\) | 18.6078 | − | 18.6078i | 1.08708 | − | 1.08708i | 0.0912527 | − | 0.995828i | \(-0.470913\pi\) |
0.995828 | − | 0.0912527i | \(-0.0290871\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.76540 | + | 5.34311i | 0.568564 | + | 0.311088i | ||||
\(296\) | 13.6404 | + | 7.68804i | 0.792829 | + | 0.446859i | ||||
\(297\) | 2.73688 | − | 10.2142i | 0.158810 | − | 0.592687i | ||||
\(298\) | 10.2936 | − | 2.79629i | 0.596295 | − | 0.161985i | ||||
\(299\) | −11.2961 | + | 19.5654i | −0.653270 | + | 1.13150i | ||||
\(300\) | 11.9731 | − | 13.3092i | 0.691265 | − | 0.768408i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −5.03455 | + | 19.0520i | −0.289706 | + | 1.09632i | ||||
\(303\) | 2.18424 | − | 0.585266i | 0.125481 | − | 0.0336226i | ||||
\(304\) | 5.76316 | − | 10.3082i | 0.330540 | − | 0.591215i | ||||
\(305\) | −0.0865763 | − | 3.77198i | −0.00495734 | − | 0.215983i | ||||
\(306\) | −0.00632306 | − | 1.83188i | −0.000361465 | − | 0.104721i | ||||
\(307\) | −19.1930 | + | 19.1930i | −1.09540 | + | 1.09540i | −0.100459 | + | 0.994941i | \(0.532031\pi\) |
−0.994941 | + | 0.100459i | \(0.967969\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 23.2645i | 1.32347i | ||||||||
\(310\) | −5.40508 | − | 18.2325i | −0.306988 | − | 1.03554i | ||||
\(311\) | 11.9923 | − | 6.92373i | 0.680018 | − | 0.392609i | −0.119844 | − | 0.992793i | \(-0.538239\pi\) |
0.799862 | + | 0.600184i | \(0.204906\pi\) | |||||||
\(312\) | 5.10400 | − | 19.8691i | 0.288957 | − | 1.12487i | ||||
\(313\) | −6.08759 | − | 22.7192i | −0.344091 | − | 1.28417i | −0.893670 | − | 0.448724i | \(-0.851879\pi\) |
0.549579 | − | 0.835441i | \(-0.314788\pi\) | |||||||
\(314\) | 5.67627 | + | 9.75368i | 0.320331 | + | 0.550432i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −24.7863 | − | 14.0831i | −1.39434 | − | 0.792237i | ||||
\(317\) | 0.796585 | − | 0.213444i | 0.0447407 | − | 0.0119882i | −0.236379 | − | 0.971661i | \(-0.575961\pi\) |
0.281120 | + | 0.959673i | \(0.409294\pi\) | |||||||
\(318\) | 0.526735 | + | 1.93901i | 0.0295378 | + | 0.108734i | ||||
\(319\) | −3.03061 | − | 5.24917i | −0.169682 | − | 0.293897i | ||||
\(320\) | −9.61189 | − | 15.0868i | −0.537321 | − | 0.843378i | ||||
\(321\) | −34.5851 | −1.93035 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −13.1985 | − | 13.1985i | −0.734386 | − | 0.734386i | ||||
\(324\) | −16.5139 | + | 9.68693i | −0.917440 | + | 0.538163i | ||||
\(325\) | −6.13509 | − | 19.3055i | −0.340313 | − | 1.07088i | ||||
\(326\) | 9.79131 | − | 17.0951i | 0.542291 | − | 0.946807i | ||||
\(327\) | 6.30416 | + | 23.5275i | 0.348621 | + | 1.30107i | ||||
\(328\) | 16.1443 | + | 15.8134i | 0.891419 | + | 0.873146i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 11.9594 | − | 0.315804i | 0.658344 | − | 0.0173844i | ||||
\(331\) | −12.4271 | − | 7.17480i | −0.683056 | − | 0.394363i | 0.117949 | − | 0.993020i | \(-0.462368\pi\) |
−0.801006 | + | 0.598657i | \(0.795701\pi\) | |||||||
\(332\) | 10.9561 | − | 11.1084i | 0.601292 | − | 0.609652i | ||||
\(333\) | 1.09561 | + | 0.293568i | 0.0600390 | + | 0.0160874i | ||||
\(334\) | −0.0968456 | − | 28.0575i | −0.00529915 | − | 1.53524i | ||||
\(335\) | −24.4661 | + | 7.16128i | −1.33673 | + | 0.391262i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.0624771 | + | 0.0624771i | 0.00340335 | + | 0.00340335i | 0.708806 | − | 0.705403i | \(-0.249234\pi\) |
−0.705403 | + | 0.708806i | \(0.749234\pi\) | |||||||
\(338\) | −3.42546 | − | 3.40190i | −0.186321 | − | 0.185039i | ||||
\(339\) | −9.78026 | − | 16.9399i | −0.531191 | − | 0.920049i | ||||
\(340\) | −27.0790 | + | 8.12943i | −1.46856 | + | 0.440880i | ||||
\(341\) | 6.35422 | − | 11.0058i | 0.344100 | − | 0.595999i | ||||
\(342\) | 0.218570 | − | 0.827122i | 0.0118189 | − | 0.0447256i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.234005 | − | 22.5975i | −0.0126167 | − | 1.21837i | ||||
\(345\) | 11.6020 | + | 19.0708i | 0.624631 | + | 1.02674i | ||||
\(346\) | 15.4067 | + | 8.82430i | 0.828269 | + | 0.474397i | ||||
\(347\) | −8.52161 | − | 2.28336i | −0.457464 | − | 0.122577i | 0.0227259 | − | 0.999742i | \(-0.492766\pi\) |
−0.480190 | + | 0.877165i | \(0.659432\pi\) | |||||||
\(348\) | −2.58936 | + | 9.93753i | −0.138804 | + | 0.532708i | ||||
\(349\) | − | 3.77799i | − | 0.202231i | −0.994875 | − | 0.101116i | \(-0.967759\pi\) | ||
0.994875 | − | 0.101116i | \(-0.0322412\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 20.2726i | 1.08207i | ||||||||
\(352\) | 2.89430 | − | 11.5988i | 0.154267 | − | 0.618217i | ||||
\(353\) | 1.20055 | + | 0.321686i | 0.0638987 | + | 0.0171216i | 0.290627 | − | 0.956836i | \(-0.406136\pi\) |
−0.226728 | + | 0.973958i | \(0.572803\pi\) | |||||||
\(354\) | 6.26407 | − | 10.9367i | 0.332932 | − | 0.581279i | ||||
\(355\) | −0.710002 | − | 1.16707i | −0.0376830 | − | 0.0619415i | ||||
\(356\) | −2.05390 | + | 3.61486i | −0.108856 | + | 0.191587i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 4.72714 | + | 1.24916i | 0.249837 | + | 0.0660203i | ||||
\(359\) | −8.75216 | + | 15.1592i | −0.461922 | + | 0.800072i | −0.999057 | − | 0.0434246i | \(-0.986173\pi\) |
0.537135 | + | 0.843496i | \(0.319507\pi\) | |||||||
\(360\) | −0.946313 | − | 0.885292i | −0.0498751 | − | 0.0466590i | ||||
\(361\) | 5.14148 | + | 8.90531i | 0.270604 | + | 0.468701i | ||||
\(362\) | −16.0403 | + | 16.1514i | −0.843061 | + | 0.848901i | ||||
\(363\) | −8.27137 | − | 8.27137i | −0.434134 | − | 0.434134i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.81001 | + | 2.87141i | −0.513479 | + | 0.150296i | ||||
\(366\) | −4.27187 | + | 0.0147451i | −0.223294 | + | 0.000770741i | ||||
\(367\) | −15.0382 | − | 4.02948i | −0.784988 | − | 0.210337i | −0.156006 | − | 0.987756i | \(-0.549862\pi\) |
−0.628983 | + | 0.777419i | \(0.716528\pi\) | |||||||
\(368\) | 21.4638 | − | 6.07004i | 1.11888 | − | 0.316423i | ||||
\(369\) | 1.41774 | + | 0.818532i | 0.0738046 | + | 0.0426111i | ||||
\(370\) | −0.462104 | − | 17.4998i | −0.0240237 | − | 0.909771i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −20.7589 | + | 5.71620i | −1.07630 | + | 0.296371i | ||||
\(373\) | 0.203640 | + | 0.759994i | 0.0105441 | + | 0.0393510i | 0.970997 | − | 0.239090i | \(-0.0768490\pi\) |
−0.960453 | + | 0.278441i | \(0.910182\pi\) | |||||||
\(374\) | −16.3953 | − | 9.39050i | −0.847779 | − | 0.485571i | ||||
\(375\) | −19.6438 | − | 3.83811i | −1.01440 | − | 0.198199i | ||||
\(376\) | −8.45195 | + | 14.9957i | −0.435876 | + | 0.773344i | ||||
\(377\) | 8.21663 | + | 8.21663i | 0.423178 | + | 0.423178i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.14995 | 0.470001 | 0.235001 | − | 0.971995i | \(-0.424491\pi\) | ||||
0.235001 | + | 0.971995i | \(0.424491\pi\) | |||||||
\(380\) | −13.1979 | + | 0.394099i | −0.677039 | + | 0.0202168i | ||||
\(381\) | −4.86342 | − | 8.42369i | −0.249161 | − | 0.431559i | ||||
\(382\) | 7.23743 | − | 1.96606i | 0.370299 | − | 0.100593i | ||||
\(383\) | 8.15515 | − | 2.18517i | 0.416709 | − | 0.111657i | −0.0443718 | − | 0.999015i | \(-0.514129\pi\) |
0.461080 | + | 0.887358i | \(0.347462\pi\) | |||||||
\(384\) | −17.2907 | + | 10.5478i | −0.882364 | + | 0.538267i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −27.3533 | + | 15.9185i | −1.39224 | + | 0.810233i | ||||
\(387\) | −0.423703 | − | 1.58128i | −0.0215381 | − | 0.0803811i | ||||
\(388\) | −3.88375 | + | 3.93774i | −0.197167 | + | 0.199908i | ||||
\(389\) | −24.8832 | + | 14.3663i | −1.26163 | + | 0.728400i | −0.973389 | − | 0.229159i | \(-0.926402\pi\) |
−0.288237 | + | 0.957559i | \(0.593069\pi\) | |||||||
\(390\) | −21.9897 | + | 6.51890i | −1.11349 | + | 0.330098i | ||||
\(391\) | − | 35.2542i | − | 1.78288i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 14.7170 | − | 14.7170i | 0.742373 | − | 0.742373i | ||||
\(394\) | 10.6711 | − | 0.0368331i | 0.537600 | − | 0.00185563i | ||||
\(395\) | 0.731364 | + | 31.8643i | 0.0367989 | + | 1.60326i | ||||
\(396\) | −0.00597817 | − | 0.865968i | −0.000300414 | − | 0.0435165i | ||||
\(397\) | 24.6559 | − | 6.60652i | 1.23744 | − | 0.331572i | 0.419969 | − | 0.907538i | \(-0.362041\pi\) |
0.817473 | + | 0.575967i | \(0.195374\pi\) | |||||||
\(398\) | −16.2512 | − | 4.29443i | −0.814599 | − | 0.215260i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −8.94870 | + | 17.8863i | −0.447435 | + | 0.894316i | ||||
\(401\) | −13.0839 | + | 22.6620i | −0.653380 | + | 1.13169i | 0.328917 | + | 0.944359i | \(0.393316\pi\) |
−0.982297 | + | 0.187329i | \(0.940017\pi\) | |||||||
\(402\) | 7.56666 | + | 27.8542i | 0.377391 | + | 1.38924i | ||||
\(403\) | −6.30575 | + | 23.5334i | −0.314112 | + | 1.17228i | ||||
\(404\) | −2.17904 | + | 1.27821i | −0.108411 | + | 0.0635933i | ||||
\(405\) | 18.7782 | + | 10.2744i | 0.933094 | + | 0.510540i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.27226 | − | 8.27226i | 0.410041 | − | 0.410041i | ||||
\(408\) | 8.60496 | + | 30.8334i | 0.426009 | + | 1.52648i | ||||
\(409\) | 0.853122 | − | 0.492550i | 0.0421842 | − | 0.0243550i | −0.478760 | − | 0.877946i | \(-0.658913\pi\) |
0.520944 | + | 0.853591i | \(0.325580\pi\) | |||||||
\(410\) | 5.89284 | − | 24.5693i | 0.291027 | − | 1.21339i | ||||
\(411\) | 33.0837 | + | 19.1009i | 1.63190 | + | 0.942178i | ||||
\(412\) | −6.90002 | − | 25.0580i | −0.339940 | − | 1.23452i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 1.39656 | − | 0.812743i | 0.0686371 | − | 0.0399442i | ||||
\(415\) | −16.9487 | − | 4.12699i | −0.831977 | − | 0.202586i | ||||
\(416\) | 0.395509 | + | 22.9147i | 0.0193914 | + | 1.12348i | ||||
\(417\) | −2.34353 | + | 8.74617i | −0.114763 | + | 0.428302i | ||||
\(418\) | −6.26084 | − | 6.21777i | −0.306228 | − | 0.304121i | ||||
\(419\) | −16.7317 | −0.817399 | −0.408699 | − | 0.912669i | \(-0.634018\pi\) | ||||
−0.408699 | + | 0.912669i | \(0.634018\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 35.5024 | 1.73028 | 0.865140 | − | 0.501530i | \(-0.167229\pi\) | ||||
0.865140 | + | 0.501530i | \(0.167229\pi\) | |||||||
\(422\) | −2.05134 | − | 2.03723i | −0.0998578 | − | 0.0991708i | ||||
\(423\) | −0.322737 | + | 1.20447i | −0.0156920 | + | 0.0585634i | ||||
\(424\) | −1.14243 | − | 1.93226i | −0.0554814 | − | 0.0938389i | ||||
\(425\) | 23.3537 | + | 21.3027i | 1.13282 | + | 1.03333i | ||||
\(426\) | −1.33682 | + | 0.777976i | −0.0647689 | + | 0.0376930i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 37.2514 | − | 10.2576i | 1.80061 | − | 0.495820i | ||||
\(429\) | −13.2738 | − | 7.66363i | −0.640865 | − | 0.370004i | ||||
\(430\) | −21.5400 | + | 13.2062i | −1.03875 | + | 0.636861i | ||||
\(431\) | −0.906153 | + | 0.523167i | −0.0436478 | + | 0.0252001i | −0.521665 | − | 0.853150i | \(-0.674689\pi\) |
0.478017 | + | 0.878350i | \(0.341356\pi\) | |||||||
\(432\) | 13.9563 | − | 14.3471i | 0.671473 | − | 0.690275i | ||||
\(433\) | 9.24591 | − | 9.24591i | 0.444330 | − | 0.444330i | −0.449134 | − | 0.893464i | \(-0.648267\pi\) |
0.893464 | + | 0.449134i | \(0.148267\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 11.0191 | − | 3.22532i | 0.528327 | − | 0.154642i | ||||
\(436\) | −13.7682 | − | 23.4715i | −0.659376 | − | 1.12408i | ||||
\(437\) | 4.26123 | − | 15.9031i | 0.203842 | − | 0.760750i | ||||
\(438\) | 3.03395 | + | 11.1685i | 0.144968 | + | 0.533652i | ||||
\(439\) | 11.3657 | − | 19.6860i | 0.542455 | − | 0.939559i | −0.456307 | − | 0.889822i | \(-0.650828\pi\) |
0.998762 | − | 0.0497373i | \(-0.0158384\pi\) | |||||||
\(440\) | −12.7877 | + | 3.88719i | −0.609631 | + | 0.185315i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 35.0201 | + | 9.25416i | 1.66573 | + | 0.440176i | ||||
\(443\) | 22.5471 | − | 6.04148i | 1.07125 | − | 0.287040i | 0.320241 | − | 0.947336i | \(-0.396236\pi\) |
0.751005 | + | 0.660296i | \(0.229569\pi\) | |||||||
\(444\) | −19.8203 | + | 0.136829i | −0.940631 | + | 0.00649360i | ||||
\(445\) | 4.64713 | − | 0.106663i | 0.220295 | − | 0.00505632i | ||||
\(446\) | 26.3199 | − | 0.0908480i | 1.24628 | − | 0.00430178i | ||||
\(447\) | −9.54787 | + | 9.54787i | −0.451599 | + | 0.451599i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 18.0937i | 0.853895i | 0.904276 | + | 0.426947i | \(0.140411\pi\) | ||||
−0.904276 | + | 0.426947i | \(0.859589\pi\) | |||||||
\(450\) | −0.305492 | + | 1.41624i | −0.0144010 | + | 0.0667622i | ||||
\(451\) | 14.6226 | − | 8.44234i | 0.688549 | − | 0.397534i | ||||
\(452\) | 15.5584 | + | 15.3451i | 0.731807 | + | 0.721773i | ||||
\(453\) | −6.45633 | − | 24.0954i | −0.303345 | − | 1.13210i | ||||
\(454\) | 6.80284 | − | 3.95899i | 0.319273 | − | 0.185805i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.154803 | + | 14.9490i | 0.00724931 | + | 0.700052i | ||||
\(457\) | 17.5625 | − | 4.70586i | 0.821540 | − | 0.220131i | 0.176520 | − | 0.984297i | \(-0.443516\pi\) |
0.645020 | + | 0.764166i | \(0.276849\pi\) | |||||||
\(458\) | −11.2056 | + | 3.04402i | −0.523603 | + | 0.142238i | ||||
\(459\) | −15.8173 | − | 27.3963i | −0.738286 | − | 1.27875i | ||||
\(460\) | −18.1526 | − | 17.1000i | −0.846371 | − | 0.797290i | ||||
\(461\) | 30.3805 | 1.41496 | 0.707481 | − | 0.706733i | \(-0.249832\pi\) | ||||
0.707481 | + | 0.706733i | \(0.249832\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.1652 | + | 20.1652i | 0.937156 | + | 0.937156i | 0.998139 | − | 0.0609833i | \(-0.0194236\pi\) |
−0.0609833 | + | 0.998139i | \(0.519424\pi\) | |||||||
\(464\) | −0.158395 | − | 11.4716i | −0.00735330 | − | 0.532556i | ||||
\(465\) | 17.4083 | + | 16.6271i | 0.807288 | + | 0.771061i | ||||
\(466\) | −14.7140 | − | 8.42754i | −0.681612 | − | 0.390398i | ||||
\(467\) | 5.42798 | + | 20.2575i | 0.251177 | + | 0.937405i | 0.970177 | + | 0.242396i | \(0.0779332\pi\) |
−0.719001 | + | 0.695009i | \(0.755400\pi\) | |||||||
\(468\) | 0.440752 | + | 1.60063i | 0.0203738 | + | 0.0739890i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 19.2386 | − | 0.508020i | 0.887411 | − | 0.0234332i | ||||
\(471\) | −12.3717 | − | 7.14281i | −0.570058 | − | 0.329123i | ||||
\(472\) | −3.50326 | + | 13.6377i | −0.161251 | + | 0.627725i | ||||
\(473\) | −16.3093 | − | 4.37008i | −0.749904 | − | 0.200936i | ||||
\(474\) | 36.0871 | − | 0.124561i | 1.65754 | − | 0.00572129i | ||||
\(475\) | 7.95995 | + | 12.4324i | 0.365227 | + | 0.570439i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.114982 | − | 0.114982i | −0.00526467 | − | 0.00526467i | ||||
\(478\) | −18.4398 | + | 18.5676i | −0.843419 | + | 0.849261i | ||||
\(479\) | 13.9452 | + | 24.1538i | 0.637172 | + | 1.10361i | 0.986051 | + | 0.166446i | \(0.0532292\pi\) |
−0.348879 | + | 0.937168i | \(0.613438\pi\) | |||||||
\(480\) | 20.0502 | + | 10.5249i | 0.915160 | + | 0.480395i | ||||
\(481\) | −11.2139 | + | 19.4231i | −0.511311 | + | 0.885617i | ||||
\(482\) | −0.112621 | − | 0.0297603i | −0.00512972 | − | 0.00135555i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 11.3622 | + | 6.45581i | 0.516465 | + | 0.293446i | ||||
\(485\) | 6.00803 | + | 1.46295i | 0.272810 | + | 0.0664291i | ||||
\(486\) | 1.49408 | − | 2.60858i | 0.0677729 | − | 0.118327i | ||||
\(487\) | −3.75898 | − | 1.00721i | −0.170335 | − | 0.0456412i | 0.172643 | − | 0.984984i | \(-0.444769\pi\) |
−0.342979 | + | 0.939343i | \(0.611436\pi\) | |||||||
\(488\) | 4.59682 | − | 1.28288i | 0.208088 | − | 0.0580730i | ||||
\(489\) | 24.9385i | 1.12776i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 14.4151i | 0.650544i | 0.945620 | + | 0.325272i | \(0.105456\pi\) | ||||
−0.945620 | + | 0.325272i | \(0.894544\pi\) | |||||||
\(492\) | −27.6829 | − | 7.21315i | −1.24804 | − | 0.325194i | ||||
\(493\) | −17.5148 | − | 4.69308i | −0.788827 | − | 0.211366i | ||||
\(494\) | 14.6790 | + | 8.40748i | 0.660438 | + | 0.378270i | ||||
\(495\) | −0.827161 | + | 0.503215i | −0.0371781 | + | 0.0226178i | ||||
\(496\) | 20.6638 | − | 12.3137i | 0.927833 | − | 0.552903i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −5.04595 | + | 19.0951i | −0.226114 | + | 0.855673i | ||||
\(499\) | 1.47517 | − | 2.55507i | 0.0660377 | − | 0.114381i | −0.831116 | − | 0.556099i | \(-0.812298\pi\) |
0.897154 | + | 0.441718i | \(0.145631\pi\) | |||||||
\(500\) | 22.2966 | − | 1.69217i | 0.997132 | − | 0.0756763i | ||||
\(501\) | 17.7588 | + | 30.7591i | 0.793403 | + | 1.37422i | ||||
\(502\) | 9.10871 | + | 9.04605i | 0.406542 | + | 0.403745i | ||||
\(503\) | 17.2036 | + | 17.2036i | 0.767071 | + | 0.767071i | 0.977590 | − | 0.210518i | \(-0.0675152\pi\) |
−0.210518 | + | 0.977590i | \(0.567515\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.47781 | + | 1.35573i | 0.110261 | + | 0.0603291i | ||||
\(506\) | −0.0575245 | − | 16.6656i | −0.00255728 | − | 0.740878i | ||||
\(507\) | 5.90305 | + | 1.58172i | 0.262163 | + | 0.0702465i | ||||
\(508\) | 7.73673 | + | 7.63064i | 0.343262 | + | 0.338555i | ||||
\(509\) | −2.32094 | − | 1.34000i | −0.102874 | − | 0.0593944i | 0.447680 | − | 0.894194i | \(-0.352250\pi\) |
−0.550554 | + | 0.834799i | \(0.685584\pi\) | |||||||
\(510\) | 24.6306 | − | 25.9666i | 1.09066 | − | 1.14982i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 15.4953 | − | 16.4892i | 0.684803 | − | 0.728728i | ||||
\(513\) | −3.82372 | − | 14.2703i | −0.168821 | − | 0.630049i | ||||
\(514\) | 5.12225 | − | 8.94315i | 0.225933 | − | 0.394465i | ||||
\(515\) | −20.0705 | + | 21.0135i | −0.884412 | + | 0.925965i | ||||
\(516\) | 14.4743 | + | 24.6752i | 0.637194 | + | 1.08627i | ||||
\(517\) | 9.09421 | + | 9.09421i | 0.399963 | + | 0.399963i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −22.4755 | −0.986563 | ||||||||
\(520\) | 21.7514 | − | 13.5434i | 0.953864 | − | 0.593916i | ||||
\(521\) | 22.5104 | + | 38.9891i | 0.986196 | + | 1.70814i | 0.636495 | + | 0.771281i | \(0.280384\pi\) |
0.349702 | + | 0.936861i | \(0.386283\pi\) | |||||||
\(522\) | −0.217872 | − | 0.802025i | −0.00953598 | − | 0.0351037i | ||||
\(523\) | −6.11620 | + | 1.63883i | −0.267443 | + | 0.0716610i | −0.390048 | − | 0.920794i | \(-0.627542\pi\) |
0.122606 | + | 0.992455i | \(0.460875\pi\) | |||||||
\(524\) | −11.4866 | + | 20.2164i | −0.501795 | + | 0.883159i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.81724 | − | 6.55927i | −0.166440 | − | 0.285998i | ||||
\(527\) | −9.83987 | − | 36.7229i | −0.428632 | − | 1.59968i | ||||
\(528\) | 4.11811 | + | 14.5618i | 0.179218 | + | 0.633720i | ||||
\(529\) | 7.01165 | − | 4.04818i | 0.304854 | − | 0.176008i | ||||
\(530\) | −1.19703 | + | 2.20581i | −0.0519956 | + | 0.0958143i | ||||
\(531\) | 1.02000i | 0.0442641i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −22.8890 | + | 22.8890i | −0.991432 | + | 0.991432i | ||||
\(534\) | −0.0181662 | − | 5.26300i | −0.000786129 | − | 0.227752i | ||||
\(535\) | −31.2388 | − | 29.8369i | −1.35057 | − | 1.28996i | ||||
\(536\) | −16.4113 | − | 27.7573i | −0.708859 | − | 1.19893i | ||||
\(537\) | −5.97849 | + | 1.60193i | −0.257991 | + | 0.0691285i | ||||
\(538\) | 1.95746 | − | 7.40751i | 0.0843919 | − | 0.319360i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −21.7787 | − | 5.14409i | −0.937205 | − | 0.221367i | ||||
\(541\) | −8.37685 | + | 14.5091i | −0.360149 | + | 0.623796i | −0.987985 | − | 0.154549i | \(-0.950607\pi\) |
0.627836 | + | 0.778345i | \(0.283941\pi\) | |||||||
\(542\) | −11.1945 | + | 3.04101i | −0.480845 | + | 0.130623i | ||||
\(543\) | 7.45797 | − | 27.8335i | 0.320052 | − | 1.19445i | ||||
\(544\) | −18.4132 | − | 30.6583i | −0.789460 | − | 1.31446i | ||||
\(545\) | −14.6032 | + | 26.6897i | −0.625531 | + | 1.14326i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.5910 | + | 12.5910i | −0.538352 | + | 0.538352i | −0.923045 | − | 0.384693i | \(-0.874307\pi\) |
0.384693 | + | 0.923045i | \(0.374307\pi\) | |||||||
\(548\) | −41.2994 | − | 10.7611i | −1.76422 | − | 0.459692i | ||||
\(549\) | 0.299404 | − | 0.172861i | 0.0127782 | − | 0.00737752i | ||||
\(550\) | 11.0747 | + | 10.0323i | 0.472227 | + | 0.427777i | ||||
\(551\) | −7.33366 | − | 4.23409i | −0.312424 | − | 0.180378i | ||||
\(552\) | −19.7582 | + | 20.1717i | −0.840965 | + | 0.858564i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 10.7855 | + | 18.5330i | 0.458231 | + | 0.787391i | ||||
\(555\) | 11.5176 | + | 18.9321i | 0.488896 | + | 0.803623i | ||||
\(556\) | −0.0698318 | − | 10.1155i | −0.00296153 | − | 0.428993i | ||||
\(557\) | −8.56509 | + | 31.9653i | −0.362914 | + | 1.35441i | 0.507312 | + | 0.861763i | \(0.330639\pi\) |
−0.870226 | + | 0.492652i | \(0.836027\pi\) | |||||||
\(558\) | 1.22789 | − | 1.23640i | 0.0519809 | − | 0.0523410i | ||||
\(559\) | 32.3699 | 1.36910 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 23.9176 | 1.00980 | ||||||||
\(562\) | −23.6764 | + | 23.8404i | −0.998730 | + | 1.00565i | ||||
\(563\) | 5.05720 | − | 18.8737i | 0.213136 | − | 0.795433i | −0.773679 | − | 0.633578i | \(-0.781586\pi\) |
0.986815 | − | 0.161855i | \(-0.0517478\pi\) | |||||||
\(564\) | −0.150424 | − | 21.7897i | −0.00633401 | − | 0.917513i | ||||
\(565\) | 5.78027 | − | 23.7384i | 0.243178 | − | 0.998680i | ||||
\(566\) | 16.8507 | + | 28.9550i | 0.708288 | + | 1.21707i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.20913 | − | 1.23444i | 0.0507341 | − | 0.0517958i | ||||
\(569\) | 33.7127 | + | 19.4640i | 1.41331 | + | 0.815974i | 0.995699 | − | 0.0926518i | \(-0.0295344\pi\) |
0.417610 | + | 0.908626i | \(0.362868\pi\) | |||||||
\(570\) | 14.2495 | − | 8.73639i | 0.596844 | − | 0.365927i | ||||
\(571\) | −17.7481 | + | 10.2468i | −0.742733 | + | 0.428817i | −0.823062 | − | 0.567951i | \(-0.807736\pi\) |
0.0803293 | + | 0.996768i | \(0.474403\pi\) | |||||||
\(572\) | 16.5701 | + | 4.31756i | 0.692829 | + | 0.180526i | ||||
\(573\) | −6.71308 | + | 6.71308i | −0.280443 | + | 0.280443i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.97315 | + | 27.2347i | −0.249097 | + | 1.13577i | ||||
\(576\) | 0.790001 | − | 1.43621i | 0.0329167 | − | 0.0598421i | ||||
\(577\) | −1.81990 | + | 6.79196i | −0.0757634 | + | 0.282753i | −0.993405 | − | 0.114655i | \(-0.963424\pi\) |
0.917642 | + | 0.397408i | \(0.130090\pi\) | |||||||
\(578\) | −31.3456 | + | 8.51511i | −1.30381 | + | 0.354182i | ||||
\(579\) | 20.0313 | − | 34.6952i | 0.832472 | − | 1.44188i | ||||
\(580\) | −10.9120 | + | 6.74213i | −0.453097 | + | 0.279952i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 1.78871 | − | 6.76892i | 0.0741443 | − | 0.280581i | ||||
\(583\) | −1.62000 | + | 0.434079i | −0.0670937 | + | 0.0179777i | ||||
\(584\) | −6.58031 | − | 11.1297i | −0.272295 | − | 0.460549i | ||||
\(585\) | 1.28204 | − | 1.34228i | 0.0530059 | − | 0.0554963i | ||||
\(586\) | −0.128456 | − | 37.2154i | −0.00530646 | − | 1.53735i | ||||
\(587\) | −4.00401 | + | 4.00401i | −0.165263 | + | 0.165263i | −0.784894 | − | 0.619631i | \(-0.787282\pi\) |
0.619631 | + | 0.784894i | \(0.287282\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 17.7550i | − | 0.731584i | ||||||
\(590\) | 15.0932 | − | 4.47441i | 0.621376 | − | 0.184209i | ||||
\(591\) | −11.6986 | + | 6.75417i | −0.481215 | + | 0.277829i | ||||
\(592\) | 21.3077 | − | 6.02589i | 0.875742 | − | 0.247663i | ||||
\(593\) | 9.08806 | + | 33.9171i | 0.373202 | + | 1.39281i | 0.855954 | + | 0.517051i | \(0.172970\pi\) |
−0.482753 | + | 0.875757i | \(0.660363\pi\) | |||||||
\(594\) | −7.52196 | − | 12.9252i | −0.308630 | − | 0.530326i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 7.45212 | − | 13.1157i | 0.305251 | − | 0.537241i | ||||
\(597\) | 20.5531 | − | 5.50720i | 0.841184 | − | 0.225395i | ||||
\(598\) | 8.37578 | + | 30.8328i | 0.342511 | + | 1.26085i | ||||
\(599\) | −0.687491 | − | 1.19077i | −0.0280901 | − | 0.0486535i | 0.851639 | − | 0.524129i | \(-0.175609\pi\) |
−0.879729 | + | 0.475476i | \(0.842276\pi\) | |||||||
\(600\) | −1.42341 | − | 25.2775i | −0.0581105 | − | 1.03195i | ||||
\(601\) | −8.86739 | −0.361708 | −0.180854 | − | 0.983510i | \(-0.557886\pi\) | ||||
−0.180854 | + | 0.983510i | \(0.557886\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.65174 | − | 1.65174i | −0.0672642 | − | 0.0672642i | ||||
\(604\) | 14.1005 | + | 24.0380i | 0.573741 | + | 0.978093i | ||||
\(605\) | −0.335263 | − | 14.6068i | −0.0136304 | − | 0.593852i | ||||
\(606\) | 1.58941 | − | 2.77501i | 0.0645652 | − | 0.112727i | ||||
\(607\) | 4.40882 | + | 16.4539i | 0.178948 | + | 0.667845i | 0.995845 | + | 0.0910609i | \(0.0290258\pi\) |
−0.816897 | + | 0.576784i | \(0.804308\pi\) | |||||||
\(608\) | −4.60047 | − | 16.0556i | −0.186574 | − | 0.651139i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.87125 | − | 3.67206i | −0.156742 | − | 0.148677i | ||||
\(611\) | −21.3530 | − | 12.3282i | −0.863851 | − | 0.498744i | ||||
\(612\) | −1.84449 | − | 1.81920i | −0.0745591 | − | 0.0735367i | ||||
\(613\) | 27.5042 | + | 7.36973i | 1.11088 | + | 0.297661i | 0.767189 | − | 0.641421i | \(-0.221655\pi\) |
0.343695 | + | 0.939081i | \(0.388321\pi\) | |||||||
\(614\) | 0.132495 | + | 38.3857i | 0.00534708 | + | 1.54912i | ||||
\(615\) | 8.98474 | + | 30.6959i | 0.362300 | + | 1.23778i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 0.247352 | + | 0.247352i | 0.00995801 | + | 0.00995801i | 0.712068 | − | 0.702110i | \(-0.247759\pi\) |
−0.702110 | + | 0.712068i | \(0.747759\pi\) | |||||||
\(618\) | 23.3447 | + | 23.1841i | 0.939060 | + | 0.932600i | ||||
\(619\) | −4.44950 | − | 7.70677i | −0.178841 | − | 0.309761i | 0.762643 | − | 0.646820i | \(-0.223901\pi\) |
−0.941484 | + | 0.337059i | \(0.890568\pi\) | |||||||
\(620\) | −23.6817 | − | 12.7457i | −0.951080 | − | 0.511881i | ||||
\(621\) | 13.9518 | − | 24.1652i | 0.559866 | − | 0.969716i | ||||
\(622\) | 5.00320 | − | 18.9334i | 0.200610 | − | 0.759159i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −14.8512 | − | 24.9220i | −0.594525 | − | 0.997679i | ||||
\(625\) | −14.4320 | − | 20.4137i | −0.577279 | − | 0.816547i | ||||
\(626\) | −28.8640 | − | 16.5321i | −1.15364 | − | 0.660755i | ||||
\(627\) | 10.7892 | + | 2.89096i | 0.430879 | + | 0.115454i | ||||
\(628\) | 15.4439 | + | 4.02413i | 0.616280 | + | 0.160580i | ||||
\(629\) | − | 34.9978i | − | 1.39545i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 30.9594i | − | 1.23248i | −0.787560 | − | 0.616238i | \(-0.788656\pi\) | ||
0.787560 | − | 0.616238i | \(-0.211344\pi\) | |||||||
\(632\) | −38.8322 | + | 10.8372i | −1.54466 | + | 0.431083i | ||||
\(633\) | 3.53505 | + | 0.947212i | 0.140505 | + | 0.0376483i | ||||
\(634\) | 0.579651 | − | 1.01204i | 0.0230209 | − | 0.0401931i | ||||
\(635\) | 2.87435 | − | 11.8044i | 0.114065 | − | 0.468441i | ||||
\(636\) | 2.47060 | + | 1.40375i | 0.0979657 | + | 0.0556624i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −8.28739 | − | 2.18997i | −0.328101 | − | 0.0867017i | ||||
\(639\) | 0.0625872 | − | 0.108404i | 0.00247591 | − | 0.00428841i | ||||
\(640\) | −24.7174 | − | 5.38963i | −0.977043 | − | 0.213044i | ||||
\(641\) | −6.18079 | − | 10.7055i | −0.244127 | − | 0.422840i | 0.717759 | − | 0.696292i | \(-0.245168\pi\) |
−0.961886 | + | 0.273452i | \(0.911835\pi\) | |||||||
\(642\) | −34.4656 | + | 34.7043i | −1.36025 | + | 1.36967i | ||||
\(643\) | 2.95024 | + | 2.95024i | 0.116346 | + | 0.116346i | 0.762883 | − | 0.646537i | \(-0.223783\pi\) |
−0.646537 | + | 0.762883i | \(0.723783\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 15.3521 | − | 28.0584i | 0.604488 | − | 1.10480i | ||||
\(646\) | −26.3969 | + | 0.0911138i | −1.03857 | + | 0.00358482i | ||||
\(647\) | 4.60847 | + | 1.23483i | 0.181178 | + | 0.0485464i | 0.348267 | − | 0.937395i | \(-0.386770\pi\) |
−0.167090 | + | 0.985942i | \(0.553437\pi\) | |||||||
\(648\) | −6.73652 | + | 26.2243i | −0.264635 | + | 1.03019i | ||||
\(649\) | 9.11081 | + | 5.26013i | 0.357630 | + | 0.206478i | ||||
\(650\) | −25.4859 | − | 13.0825i | −0.999640 | − | 0.513140i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.39650 | − | 26.8610i | −0.289669 | − | 1.05196i | ||||
\(653\) | 2.16858 | + | 8.09326i | 0.0848632 | + | 0.316714i | 0.995288 | − | 0.0969603i | \(-0.0309120\pi\) |
−0.910425 | + | 0.413674i | \(0.864245\pi\) | |||||||
\(654\) | 29.8909 | + | 17.1202i | 1.16883 | + | 0.669454i | ||||
\(655\) | 25.9895 | − | 0.596523i | 1.01549 | − | 0.0233081i | ||||
\(656\) | 31.9563 | − | 0.441239i | 1.24768 | − | 0.0172275i | ||||
\(657\) | −0.662288 | − | 0.662288i | −0.0258383 | − | 0.0258383i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −35.0426 | −1.36507 | −0.682534 | − | 0.730854i | \(-0.739122\pi\) | ||||
−0.682534 | + | 0.730854i | \(0.739122\pi\) | |||||||
\(660\) | 11.6012 | − | 12.3153i | 0.451575 | − | 0.479374i | ||||
\(661\) | −9.52109 | − | 16.4910i | −0.370328 | − | 0.641426i | 0.619288 | − | 0.785164i | \(-0.287421\pi\) |
−0.989616 | + | 0.143737i | \(0.954088\pi\) | |||||||
\(662\) | −19.5837 | + | 5.31995i | −0.761141 | + | 0.206766i | ||||
\(663\) | −44.2904 | + | 11.8676i | −1.72010 | + | 0.460899i | ||||
\(664\) | −0.228479 | − | 22.0638i | −0.00886670 | − | 0.856241i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.38640 | − | 0.806832i | 0.0537219 | − | 0.0312641i | ||||
\(667\) | −4.13958 | − | 15.4491i | −0.160285 | − | 0.598193i | ||||
\(668\) | −28.2507 | − | 27.8633i | −1.09305 | − | 1.07806i | ||||
\(669\) | −28.8542 | + | 16.6590i | −1.11557 | + | 0.644074i | ||||
\(670\) | −17.1956 | + | 31.6869i | −0.664323 | + | 1.22417i | ||||
\(671\) | − | 3.56577i | − | 0.137655i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −25.9196 | + | 25.9196i | −0.999127 | + | 0.999127i | −1.00000 | 0.000872915i | \(-0.999722\pi\) | |
0.000872915 | 1.00000i | \(0.499722\pi\) | ||||||||
\(674\) | 0.124954 | 0.000431300i | 0.00481303 | 1.66131e-5i | ||||||
\(675\) | 7.57744 | + | 23.8442i | 0.291656 | + | 0.917765i | ||||
\(676\) | −6.82724 | + | 0.0471315i | −0.262586 | + | 0.00181275i | ||||
\(677\) | −13.2916 | + | 3.56148i | −0.510838 | + | 0.136879i | −0.505026 | − | 0.863104i | \(-0.668517\pi\) |
−0.00581271 | + | 0.999983i | \(0.501850\pi\) | |||||||
\(678\) | −26.7447 | − | 7.06737i | −1.02712 | − | 0.271421i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −18.8279 | + | 35.2736i | −0.722018 | + | 1.35268i | ||||
\(681\) | −4.98184 | + | 8.62881i | −0.190905 | + | 0.330657i | ||||
\(682\) | −4.71150 | − | 17.3439i | −0.180413 | − | 0.664132i | ||||
\(683\) | 2.14974 | − | 8.02293i | 0.0822574 | − | 0.306989i | −0.912523 | − | 0.409025i | \(-0.865869\pi\) |
0.994781 | + | 0.102036i | \(0.0325357\pi\) | |||||||
\(684\) | −0.612158 | − | 1.04359i | −0.0234065 | − | 0.0399025i | ||||
\(685\) | 13.4041 | + | 45.7944i | 0.512145 | + | 1.74971i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 10.3937 | − | 10.3937i | 0.396546 | − | 0.396546i | ||||
\(688\) | −22.9085 | − | 22.2845i | −0.873379 | − | 0.849589i | ||||
\(689\) | 2.78453 | − | 1.60765i | 0.106082 | − | 0.0612465i | ||||
\(690\) | 30.6984 | + | 7.36289i | 1.16867 | + | 0.280300i | ||||
\(691\) | −7.15943 | − | 4.13350i | −0.272357 | − | 0.157246i | 0.357601 | − | 0.933874i | \(-0.383595\pi\) |
−0.629958 | + | 0.776629i | \(0.716928\pi\) | |||||||
\(692\) | 24.2081 | − | 6.66600i | 0.920255 | − | 0.253403i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −10.7834 | + | 6.27551i | −0.409331 | + | 0.238215i | ||||
\(695\) | −9.66218 | + | 5.87813i | −0.366507 | + | 0.222970i | ||||
\(696\) | 7.39136 | + | 12.5015i | 0.280169 | + | 0.473866i | ||||
\(697\) | 13.0735 | − | 48.7908i | 0.495192 | − | 1.84808i | ||||
\(698\) | −3.79101 | − | 3.76493i | −0.143492 | − | 0.142505i | ||||
\(699\) | 21.4649 | 0.811878 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −14.1462 | −0.534296 | −0.267148 | − | 0.963656i | \(-0.586081\pi\) | ||||
−0.267148 | + | 0.963656i | \(0.586081\pi\) | |||||||
\(702\) | 20.3424 | + | 20.2025i | 0.767775 | + | 0.762493i | ||||
\(703\) | 4.23024 | − | 15.7875i | 0.159547 | − | 0.595436i | ||||
\(704\) | −8.75446 | − | 14.4630i | −0.329946 | − | 0.545093i | ||||
\(705\) | −20.8132 | + | 12.6620i | −0.783872 | + | 0.476880i | ||||
\(706\) | 1.51919 | − | 0.884111i | 0.0571755 | − | 0.0332740i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −4.73197 | − | 17.1845i | −0.177838 | − | 0.645834i | ||||
\(709\) | −10.2057 | − | 5.89228i | −0.383284 | − | 0.221289i | 0.295962 | − | 0.955200i | \(-0.404360\pi\) |
−0.679246 | + | 0.733910i | \(0.737693\pi\) | |||||||
\(710\) | −1.87864 | − | 0.450583i | −0.0705040 | − | 0.0169101i | ||||
\(711\) | −2.52925 | + | 1.46026i | −0.0948542 | + | 0.0547641i | ||||
\(712\) | 1.58052 | + | 5.66334i | 0.0592325 | + | 0.212243i | ||||
\(713\) | 23.7125 | − | 23.7125i | 0.888039 | − | 0.888039i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.37797 | − | 18.3736i | −0.201125 | − | 0.687132i | ||||
\(716\) | 5.96426 | − | 3.49859i | 0.222895 | − | 0.130748i | ||||
\(717\) | 8.57362 | − | 31.9972i | 0.320188 | − | 1.19496i | ||||
\(718\) | 6.48952 | + | 23.8891i | 0.242187 | + | 0.891533i | ||||
\(719\) | 9.74435 | − | 16.8777i | 0.363403 | − | 0.629433i | −0.625115 | − | 0.780532i | \(-0.714948\pi\) |
0.988519 | + | 0.151100i | \(0.0482815\pi\) | |||||||
\(720\) | −1.83138 | + | 0.0673431i | −0.0682516 | + | 0.00250973i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 14.0597 | + | 3.71532i | 0.523248 | + | 0.138270i | ||||
\(723\) | 0.142433 | − | 0.0381648i | 0.00529714 | − | 0.00141936i | ||||
\(724\) | 0.222230 | + | 32.1912i | 0.00825913 | + | 1.19638i | ||||
\(725\) | 12.7355 | + | 6.59307i | 0.472983 | + | 0.244860i | ||||
\(726\) | −16.5426 | + | 0.0571000i | −0.613955 | + | 0.00211918i | ||||
\(727\) | −21.7062 | + | 21.7062i | −0.805039 | + | 0.805039i | −0.983878 | − | 0.178839i | \(-0.942766\pi\) |
0.178839 | + | 0.983878i | \(0.442766\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 24.9127i | − | 0.922692i | ||||||
\(730\) | −6.89479 | + | 12.7053i | −0.255188 | + | 0.470244i | ||||
\(731\) | −43.7446 | + | 25.2560i | −1.61795 | + | 0.934126i | ||||
\(732\) | −4.24230 | + | 4.30128i | −0.156800 | + | 0.158980i | ||||
\(733\) | −6.04984 | − | 22.5783i | −0.223456 | − | 0.833949i | −0.983017 | − | 0.183513i | \(-0.941253\pi\) |
0.759561 | − | 0.650436i | \(-0.225414\pi\) | |||||||
\(734\) | −19.0296 | + | 11.0745i | −0.702395 | + | 0.408767i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 15.2987 | − | 27.5868i | 0.563916 | − | 1.01686i | ||||
\(737\) | −23.2717 | + | 6.23563i | −0.857224 | + | 0.229693i | ||||
\(738\) | 2.23419 | − | 0.606922i | 0.0822417 | − | 0.0223411i | ||||
\(739\) | −4.82260 | − | 8.35299i | −0.177402 | − | 0.307270i | 0.763588 | − | 0.645704i | \(-0.223436\pi\) |
−0.940990 | + | 0.338434i | \(0.890103\pi\) | |||||||
\(740\) | −18.0206 | − | 16.9756i | −0.662451 | − | 0.624035i | ||||
\(741\) | −21.4138 | −0.786657 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −24.5711 | − | 24.5711i | −0.901426 | − | 0.901426i | 0.0941337 | − | 0.995560i | \(-0.469992\pi\) |
−0.995560 | + | 0.0941337i | \(0.969992\pi\) | |||||||
\(744\) | −14.9512 | + | 26.5268i | −0.548137 | + | 0.972520i | ||||
\(745\) | −16.8611 | + | 0.387004i | −0.617742 | + | 0.0141787i | ||||
\(746\) | 0.965548 | + | 0.553025i | 0.0353512 | + | 0.0202477i | ||||
\(747\) | −0.413697 | − | 1.54394i | −0.0151364 | − | 0.0564897i | ||||
\(748\) | −25.7614 | + | 7.09372i | −0.941931 | + | 0.259372i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −23.4273 | + | 15.8867i | −0.855442 | + | 0.580100i | ||||
\(751\) | 45.6939 | + | 26.3814i | 1.66739 | + | 0.962671i | 0.969035 | + | 0.246923i | \(0.0794195\pi\) |
0.698359 | + | 0.715747i | \(0.253914\pi\) | |||||||
\(752\) | 6.62464 | + | 23.4249i | 0.241576 | + | 0.854219i | ||||
\(753\) | −15.6969 | − | 4.20597i | −0.572027 | − | 0.153274i | ||||
\(754\) | 16.4332 | − | 0.0567221i | 0.598461 | − | 0.00206570i | ||||
\(755\) | 14.9557 | − | 27.3339i | 0.544292 | − | 0.994782i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.54052 | − | 4.54052i | −0.165028 | − | 0.165028i | 0.619762 | − | 0.784790i | \(-0.287229\pi\) |
−0.784790 | + | 0.619762i | \(0.787229\pi\) | |||||||
\(758\) | 9.11832 | − | 9.18148i | 0.331192 | − | 0.333486i | ||||
\(759\) | 10.5484 | + | 18.2703i | 0.382882 | + | 0.663172i | ||||
\(760\) | −12.7568 | + | 13.6361i | −0.462739 | + | 0.494635i | ||||
\(761\) | −5.96614 | + | 10.3337i | −0.216272 | + | 0.374595i | −0.953665 | − | 0.300869i | \(-0.902723\pi\) |
0.737393 | + | 0.675464i | \(0.236057\pi\) | |||||||
\(762\) | −13.2993 | − | 3.51439i | −0.481783 | − | 0.127313i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 5.23957 | − | 9.22163i | 0.189561 | − | 0.333627i | ||||
\(765\) | −0.685265 | + | 2.81424i | −0.0247758 | + | 0.101749i | ||||
\(766\) | 5.93426 | − | 10.3609i | 0.214413 | − | 0.374353i | ||||
\(767\) | −19.4813 | − | 5.22001i | −0.703430 | − | 0.188484i | ||||
\(768\) | −6.64677 | + | 27.8617i | −0.239845 | + | 1.00537i | ||||
\(769\) | − | 29.2063i | − | 1.05321i | −0.850111 | − | 0.526603i | \(-0.823465\pi\) | ||
0.850111 | − | 0.526603i | \(-0.176535\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.0464i | 0.469854i | ||||||||
\(772\) | −11.2853 | + | 43.3110i | −0.406166 | + | 1.55880i | ||||
\(773\) | 34.7584 | + | 9.31348i | 1.25017 | + | 0.334982i | 0.822403 | − | 0.568906i | \(-0.192633\pi\) |
0.427769 | + | 0.903888i | \(0.359300\pi\) | |||||||
\(774\) | −2.00897 | − | 1.15065i | −0.0722109 | − | 0.0413593i | ||||
\(775\) | 1.37955 | + | 30.0365i | 0.0495550 | + | 1.07894i | ||||
\(776\) | 0.0809921 | + | 7.82125i | 0.00290745 | + | 0.280767i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −10.3813 | + | 39.2855i | −0.372188 | + | 1.40845i | ||||
\(779\) | 11.7948 | − | 20.4293i | 0.422594 | − | 0.731955i | ||||
\(780\) | −15.3723 | + | 28.5618i | −0.550416 | + | 1.02268i | ||||
\(781\) | −0.645525 | − | 1.11808i | −0.0230987 | − | 0.0400081i | ||||
\(782\) | −35.3757 | − | 35.1323i | −1.26503 | − | 1.25633i | ||||
\(783\) | −10.1484 | − | 10.1484i | −0.362673 | − | 0.362673i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −5.01248 | − | 17.1249i | −0.178903 | − | 0.611213i | ||||
\(786\) | −0.101596 | − | 29.4338i | −0.00362381 | − | 1.04987i | ||||
\(787\) | 17.3841 | + | 4.65805i | 0.619675 | + | 0.166042i | 0.554980 | − | 0.831864i | \(-0.312726\pi\) |
0.0646952 | + | 0.997905i | \(0.479392\pi\) | |||||||
\(788\) | 10.5972 | − | 10.7445i | 0.377510 | − | 0.382758i | ||||
\(789\) | 8.31986 | + | 4.80348i | 0.296195 | + | 0.171008i | ||||
\(790\) | 32.7029 | + | 31.0202i | 1.16352 | + | 1.10365i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −0.874910 | − | 0.856975i | −0.0310886 | − | 0.0304513i | ||||
\(793\) | 1.76929 | + | 6.60307i | 0.0628292 | + | 0.234482i | ||||
\(794\) | 17.9413 | − | 31.3245i | 0.636714 | − | 1.11166i | ||||
\(795\) | −0.0728996 | − | 3.17611i | −0.00258548 | − | 0.112645i | ||||
\(796\) | −20.5042 | + | 12.0276i | −0.726753 | + | 0.426307i | ||||
\(797\) | −26.2293 | − | 26.2293i | −0.929091 | − | 0.929091i | 0.0685567 | − | 0.997647i | \(-0.478161\pi\) |
−0.997647 | + | 0.0685567i | \(0.978161\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 38.4752 | 1.36116 | ||||||||
\(800\) | 9.03020 | + | 26.8040i | 0.319266 | + | 0.947665i | ||||
\(801\) | 0.212967 | + | 0.368869i | 0.00752481 | + | 0.0130333i | ||||
\(802\) | 9.70143 | + | 35.7127i | 0.342569 | + | 1.26106i | ||||
\(803\) | −9.33109 | + | 2.50026i | −0.329287 | + | 0.0882322i | ||||
\(804\) | 35.4907 | + | 20.1652i | 1.25166 | + | 0.711171i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 17.3305 | + | 29.7795i | 0.610442 | + | 1.04894i | ||||
\(807\) | 2.51025 | + | 9.36839i | 0.0883651 | + | 0.329783i | ||||
\(808\) | −0.888896 | + | 3.46034i | −0.0312713 | + | 0.121734i | ||||
\(809\) | 28.7418 | − | 16.5941i | 1.01051 | − | 0.583418i | 0.0991688 | − | 0.995071i | \(-0.468382\pi\) |
0.911341 | + | 0.411653i | \(0.135048\pi\) | |||||||
\(810\) | 29.0230 | − | 8.60397i | 1.01977 | − | 0.302313i | ||||
\(811\) | − | 44.6901i | − | 1.56928i | −0.619950 | − | 0.784641i | \(-0.712847\pi\) | ||
0.619950 | − | 0.784641i | \(-0.287153\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 10.3835 | − | 10.3835i | 0.364164 | − | 0.364164i | ||||
\(814\) | −0.0571061 | − | 16.5444i | −0.00200157 | − | 0.579882i | ||||
\(815\) | −21.5146 | + | 22.5255i | −0.753625 | + | 0.789033i | ||||
\(816\) | 39.5149 | + | 22.0922i | 1.38330 | + | 0.773382i | ||||
\(817\) | −22.7859 | + | 6.10546i | −0.797178 | + | 0.213603i | ||||
\(818\) | 0.355925 | − | 1.34691i | 0.0124446 | − | 0.0470936i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −18.7815 | − | 30.3975i | −0.655878 | − | 1.06153i | ||||
\(821\) | 3.13055 | − | 5.42227i | 0.109257 | − | 0.189238i | −0.806213 | − | 0.591626i | \(-0.798486\pi\) |
0.915469 | + | 0.402388i | \(0.131820\pi\) | |||||||
\(822\) | 52.1361 | − | 14.1629i | 1.81845 | − | 0.493987i | ||||
\(823\) | −5.59854 | + | 20.8940i | −0.195153 | + | 0.728320i | 0.797074 | + | 0.603881i | \(0.206380\pi\) |
−0.992227 | + | 0.124439i | \(0.960287\pi\) | |||||||
\(824\) | −32.0205 | − | 18.0476i | −1.11549 | − | 0.628717i | ||||
\(825\) | −18.4769 | − | 4.05238i | −0.643284 | − | 0.141086i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −2.73070 | + | 2.73070i | −0.0949558 | + | 0.0949558i | −0.752989 | − | 0.658033i | \(-0.771389\pi\) |
0.658033 | + | 0.752989i | \(0.271389\pi\) | |||||||
\(828\) | 0.576186 | − | 2.21130i | 0.0200238 | − | 0.0768481i | ||||
\(829\) | −36.5986 | + | 21.1302i | −1.27112 | + | 0.733883i | −0.975199 | − | 0.221328i | \(-0.928961\pi\) |
−0.295924 | + | 0.955212i | \(0.595627\pi\) | |||||||
\(830\) | −21.0313 | + | 12.8943i | −0.730006 | + | 0.447569i | ||||
\(831\) | −23.5075 | − | 13.5720i | −0.815465 | − | 0.470809i | ||||
\(832\) | 23.3878 | + | 22.4386i | 0.810825 | + | 0.777917i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 6.44088 | + | 11.0675i | 0.223030 | + | 0.383238i | ||||
\(835\) | −10.4957 | + | 43.1036i | −0.363218 | + | 1.49166i | ||||
\(836\) | −12.4784 | + | 0.0861440i | −0.431574 | + | 0.00297935i | ||||
\(837\) | 7.78823 | − | 29.0661i | 0.269201 | − | 1.00467i | ||||
\(838\) | −16.6739 | + | 16.7894i | −0.575990 | + | 0.579980i | ||||
\(839\) | −27.3666 | −0.944801 | −0.472400 | − | 0.881384i | \(-0.656612\pi\) | ||||
−0.472400 | + | 0.881384i | \(0.656612\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 20.7736 | 0.716330 | ||||||||
\(842\) | 35.3796 | − | 35.6247i | 1.21926 | − | 1.22771i | ||||
\(843\) | 11.0084 | − | 41.0838i | 0.379149 | − | 1.41500i | ||||
\(844\) | −4.08850 | + | 0.0282248i | −0.140732 | + | 0.000971537i | ||||
\(845\) | 3.96732 | + | 6.52129i | 0.136480 | + | 0.224339i | ||||
\(846\) | 0.887001 | + | 1.52416i | 0.0304957 | + | 0.0524016i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −3.07740 | − | 0.779213i | −0.105678 | − | 0.0267583i | ||||
\(849\) | −36.7269 | − | 21.2043i | −1.26046 | − | 0.727729i | ||||
\(850\) | 44.6490 | − | 2.20516i | 1.53145 | − | 0.0756362i | ||||
\(851\) | 26.7344 | − | 15.4351i | 0.916442 | − | 0.529108i | ||||
\(852\) | −0.551537 | + | 2.11671i | −0.0188954 | + | 0.0725172i | ||||
\(853\) | −15.4514 | + | 15.4514i | −0.529044 | + | 0.529044i | −0.920287 | − | 0.391243i | \(-0.872045\pi\) |
0.391243 | + | 0.920287i | \(0.372045\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.649284 | + | 1.18667i | −0.0222050 | + | 0.0405833i | ||||
\(856\) | 26.8296 | − | 47.6019i | 0.917017 | − | 1.62700i | ||||
\(857\) | −4.58257 | + | 17.1024i | −0.156537 | + | 0.584206i | 0.842431 | + | 0.538804i | \(0.181124\pi\) |
−0.998969 | + | 0.0454021i | \(0.985543\pi\) | |||||||
\(858\) | −20.9179 | + | 5.68240i | −0.714127 | + | 0.193994i | ||||
\(859\) | −4.41256 | + | 7.64278i | −0.150555 | + | 0.260768i | −0.931432 | − | 0.363917i | \(-0.881439\pi\) |
0.780877 | + | 0.624685i | \(0.214773\pi\) | |||||||
\(860\) | −8.21376 | + | 34.7748i | −0.280087 | + | 1.18581i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.378049 | + | 1.43063i | −0.0128764 | + | 0.0487276i | ||||
\(863\) | −30.4985 | + | 8.17206i | −1.03818 | + | 0.278180i | −0.737360 | − | 0.675500i | \(-0.763928\pi\) |
−0.300822 | + | 0.953680i | \(0.597261\pi\) | |||||||
\(864\) | −0.488493 | − | 28.3019i | −0.0166189 | − | 0.962850i | ||||
\(865\) | −20.3008 | − | 19.3898i | −0.690248 | − | 0.659273i | ||||
\(866\) | −0.0638276 | − | 18.4917i | −0.00216895 | − | 0.628374i | ||||
\(867\) | 29.0746 | − | 29.0746i | 0.987427 | − | 0.987427i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 30.1223i | 1.02183i | ||||||||
\(870\) | 7.74460 | − | 14.2713i | 0.262567 | − | 0.483842i | ||||
\(871\) | 40.0003 | − | 23.0942i | 1.35536 | − | 0.782517i | ||||
\(872\) | −37.2729 | − | 9.57471i | −1.26222 | − | 0.324240i | ||||
\(873\) | 0.146649 | + | 0.547301i | 0.00496331 | + | 0.0185233i | ||||
\(874\) | −11.7114 | − | 20.1241i | −0.396145 | − | 0.680707i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 14.2305 | + | 8.08549i | 0.480803 | + | 0.273183i | ||||
\(877\) | 15.3977 | − | 4.12581i | 0.519945 | − | 0.139319i | 0.0107038 | − | 0.999943i | \(-0.496593\pi\) |
0.509241 | + | 0.860624i | \(0.329926\pi\) | |||||||
\(878\) | −8.42739 | − | 31.0227i | −0.284411 | − | 1.04697i | ||||
\(879\) | 23.5552 | + | 40.7988i | 0.794498 | + | 1.37611i | ||||
\(880\) | −8.84292 | + | 16.7055i | −0.298095 | + | 0.563144i | ||||
\(881\) | −33.9704 | −1.14449 | −0.572245 | − | 0.820082i | \(-0.693927\pi\) | ||||
−0.572245 | + | 0.820082i | \(0.693927\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.75604 | − | 5.75604i | −0.193706 | − | 0.193706i | 0.603589 | − | 0.797295i | \(-0.293737\pi\) |
−0.797295 | + | 0.603589i | \(0.793737\pi\) | |||||||
\(884\) | 44.1850 | − | 25.9186i | 1.48610 | − | 0.871736i | ||||
\(885\) | −13.7642 | + | 14.4108i | −0.462677 | + | 0.484415i | ||||
\(886\) | 16.4069 | − | 28.6454i | 0.551199 | − | 0.962361i | ||||
\(887\) | 4.70474 | + | 17.5583i | 0.157970 | + | 0.589551i | 0.998833 | + | 0.0483029i | \(0.0153813\pi\) |
−0.840863 | + | 0.541248i | \(0.817952\pi\) | |||||||
\(888\) | −19.6145 | + | 20.0250i | −0.658219 | + | 0.671994i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 4.52403 | − | 4.76943i | 0.151646 | − | 0.159872i | ||||
\(891\) | 17.5194 | + | 10.1148i | 0.586923 | + | 0.338860i | ||||
\(892\) | 26.1377 | − | 26.5011i | 0.875156 | − | 0.887323i | ||||
\(893\) | 17.3562 | + | 4.65057i | 0.580801 | + | 0.155625i | ||||
\(894\) | 0.0659121 | + | 19.0956i | 0.00220443 | + | 0.638653i | ||||
\(895\) | −6.78203 | − | 3.71077i | −0.226698 | − | 0.124037i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −28.5989 | − | 28.5989i | −0.954890 | − | 0.954890i | ||||
\(898\) | 18.1561 | + | 18.0311i | 0.605875 | + | 0.601707i | ||||
\(899\) | −8.62408 | − | 14.9374i | −0.287629 | − | 0.498189i | ||||
\(900\) | 1.11669 | + | 1.71789i | 0.0372228 | + | 0.0572629i | ||||
\(901\) | −2.50867 | + | 4.34515i | −0.0835760 | + | 0.144758i | ||||
\(902\) | 6.10057 | − | 23.0861i | 0.203127 | − | 0.768683i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 30.9026 | − | 0.320008i | 1.02781 | − | 0.0106433i | ||||
\(905\) | 30.7486 | − | 18.7063i | 1.02212 | − | 0.621820i | ||||
\(906\) | −30.6124 | − | 17.5335i | −1.01703 | − | 0.582510i | ||||
\(907\) | 43.7702 | + | 11.7282i | 1.45337 | + | 0.389428i | 0.897193 | − | 0.441639i | \(-0.145603\pi\) |
0.556172 | + | 0.831067i | \(0.312269\pi\) | |||||||
\(908\) | 2.80668 | − | 10.7716i | 0.0931431 | − | 0.357467i | ||||
\(909\) | 0.258808i | 0.00858412i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 55.7310i | − | 1.84645i | −0.384261 | − | 0.923225i | \(-0.625544\pi\) | ||
0.384261 | − | 0.923225i | \(-0.374456\pi\) | |||||||
\(912\) | 15.1548 | + | 14.7420i | 0.501826 | + | 0.488156i | ||||
\(913\) | −15.9242 | − | 4.26687i | −0.527013 | − | 0.141213i | ||||
\(914\) | 12.7797 | − | 22.3126i | 0.422715 | − | 0.738036i | ||||
\(915\) | 6.56270 | + | 1.59801i | 0.216956 | + | 0.0528287i | ||||
\(916\) | −8.11234 | + | 14.2777i | −0.268039 | + | 0.471748i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −43.2533 | − | 11.4298i | −1.42757 | − | 0.377240i | ||||
\(919\) | 1.00568 | − | 1.74189i | 0.0331743 | − | 0.0574596i | −0.848962 | − | 0.528455i | \(-0.822772\pi\) |
0.882136 | + | 0.470995i | \(0.156105\pi\) | |||||||
\(920\) | −35.2488 | + | 1.17434i | −1.16212 | + | 0.0387168i | ||||
\(921\) | −24.2959 | − | 42.0818i | −0.800579 | − | 1.38664i | ||||
\(922\) | 30.2755 | − | 30.4852i | 0.997069 | − | 1.00398i | ||||
\(923\) | 1.75015 | + | 1.75015i | 0.0576070 | + | 0.0576070i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.92970 | + | 27.0366i | −0.194967 | + | 0.888959i | ||||
\(926\) | 40.3301 | − | 0.139207i | 1.32533 | − | 0.00457462i | ||||
\(927\) | −2.57193 | − | 0.689146i | −0.0844731 | − | 0.0226345i | ||||
\(928\) | −11.6690 | − | 11.2730i | −0.383053 | − | 0.370054i | ||||
\(929\) | −12.0757 | − | 6.97192i | −0.396192 | − | 0.228741i | 0.288648 | − | 0.957435i | \(-0.406794\pi\) |
−0.684839 | + | 0.728694i | \(0.740128\pi\) | |||||||
\(930\) | 34.0324 | − | 0.898669i | 1.11597 | − | 0.0294685i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −23.1197 | + | 6.36628i | −0.757310 | + | 0.208534i | ||||
\(933\) | 6.41613 | + | 23.9453i | 0.210055 | + | 0.783935i | ||||
\(934\) | 25.7365 | + | 14.7408i | 0.842124 | + | 0.482333i | ||||
\(935\) | 21.6034 | + | 20.6339i | 0.706506 | + | 0.674802i | ||||
\(936\) | 2.04537 | + | 1.15282i | 0.0668550 | + | 0.0376812i | ||||
\(937\) | −10.0820 | − | 10.0820i | −0.329363 | − | 0.329363i | 0.522981 | − | 0.852344i | \(-0.324820\pi\) |
−0.852344 | + | 0.522981i | \(0.824820\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 42.1072 | 1.37412 | ||||||||
\(940\) | 18.6623 | − | 19.8112i | 0.608698 | − | 0.646169i | ||||
\(941\) | −8.57804 | − | 14.8576i | −0.279636 | − | 0.484344i | 0.691658 | − | 0.722225i | \(-0.256881\pi\) |
−0.971294 | + | 0.237881i | \(0.923547\pi\) | |||||||
\(942\) | −19.4963 | + | 5.29622i | −0.635225 | + | 0.172560i | ||||
\(943\) | 43.0365 | − | 11.5316i | 1.40146 | − | 0.375520i | ||||
\(944\) | 10.1935 | + | 17.1059i | 0.331771 | + | 0.556748i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −20.6381 | + | 12.0106i | −0.671002 | + | 0.390497i | ||||
\(947\) | −7.87222 | − | 29.3795i | −0.255813 | − | 0.954707i | −0.967636 | − | 0.252348i | \(-0.918797\pi\) |
0.711824 | − | 0.702358i | \(-0.247870\pi\) | |||||||
\(948\) | 35.8374 | − | 36.3356i | 1.16394 | − | 1.18013i | ||||
\(949\) | 16.0387 | − | 9.25992i | 0.520637 | − | 0.300590i | ||||
\(950\) | 20.4077 | + | 4.40206i | 0.662113 | + | 0.142822i | ||||
\(951\) | 1.47637i | 0.0478746i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −36.7987 | + | 36.7987i | −1.19203 | + | 1.19203i | −0.215529 | + | 0.976497i | \(0.569148\pi\) |
−0.976497 | + | 0.215529i | \(0.930852\pi\) | |||||||
\(954\) | −0.229963 | 0.000793760i | −0.00744533 | 2.56989e-5i | ||||||
\(955\) | −11.8550 | + | 0.272101i | −0.383618 | + | 0.00880499i | ||||
\(956\) | 0.255474 | + | 37.0068i | 0.00826263 | + | 1.19688i | ||||
\(957\) | 10.4812 | − | 2.80843i | 0.338809 | − | 0.0907836i | ||||
\(958\) | 38.1340 | + | 10.0770i | 1.23205 | + | 0.325574i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 30.5420 | − | 9.63071i | 0.985740 | − | 0.310830i | ||||
\(961\) | 2.58192 | − | 4.47202i | 0.0832878 | − | 0.144259i | ||||
\(962\) | 8.31486 | + | 30.6085i | 0.268082 | + | 0.986858i | ||||
\(963\) | 1.02449 | − | 3.82344i | 0.0330137 | − | 0.123209i | ||||
\(964\) | −0.142094 | + | 0.0833512i | −0.00457654 | + | 0.00268456i | ||||
\(965\) | 48.0250 | − | 14.0570i | 1.54598 | − | 0.452511i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.22247 | − | 2.22247i | 0.0714698 | − | 0.0714698i | −0.670468 | − | 0.741938i | \(-0.733907\pi\) |
0.741938 | + | 0.670468i | \(0.233907\pi\) | |||||||
\(968\) | 17.8010 | − | 4.96788i | 0.572146 | − | 0.159674i | ||||
\(969\) | 28.9386 | − | 16.7077i | 0.929642 | − | 0.536729i | ||||
\(970\) | 7.45524 | − | 4.57084i | 0.239373 | − | 0.146761i | ||||
\(971\) | −28.5473 | − | 16.4818i | −0.916127 | − | 0.528926i | −0.0337295 | − | 0.999431i | \(-0.510738\pi\) |
−0.882397 | + | 0.470505i | \(0.844072\pi\) | |||||||
\(972\) | −1.12865 | − | 4.09879i | −0.0362015 | − | 0.131469i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −4.75666 | + | 2.76820i | −0.152413 | + | 0.0886987i | ||||
\(975\) | 36.2262 | − | 1.66384i | 1.16017 | − | 0.0532855i | ||||
\(976\) | 3.29363 | − | 5.89110i | 0.105426 | − | 0.188569i | ||||
\(977\) | 1.84795 | − | 6.89664i | 0.0591211 | − | 0.220643i | −0.930044 | − | 0.367447i | \(-0.880232\pi\) |
0.989166 | + | 0.146804i | \(0.0468986\pi\) | |||||||
\(978\) | 25.0244 | + | 24.8522i | 0.800192 | + | 0.794687i | ||||
\(979\) | 4.39307 | 0.140403 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.78774 | −0.0890057 | ||||||||
\(982\) | 14.4648 | + | 14.3653i | 0.461589 | + | 0.458414i | ||||
\(983\) | 8.85773 | − | 33.0575i | 0.282518 | − | 1.05437i | −0.668116 | − | 0.744057i | \(-0.732899\pi\) |
0.950634 | − | 0.310314i | \(-0.100434\pi\) | |||||||
\(984\) | −34.8251 | + | 20.5900i | −1.11018 | + | 0.656386i | ||||
\(985\) | −16.3935 | − | 3.99181i | −0.522341 | − | 0.127190i | ||||
\(986\) | −22.1635 | + | 12.8983i | −0.705830 | + | 0.410766i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 23.0647 | − | 6.35113i | 0.733784 | − | 0.202056i | ||||
\(989\) | −38.5854 | − | 22.2773i | −1.22695 | − | 0.708377i | ||||
\(990\) | −0.319352 | + | 1.33149i | −0.0101497 | + | 0.0423174i | ||||
\(991\) | 27.9661 | − | 16.1462i | 0.888373 | − | 0.512902i | 0.0149631 | − | 0.999888i | \(-0.495237\pi\) |
0.873410 | + | 0.486986i | \(0.161904\pi\) | |||||||
\(992\) | 8.23620 | − | 33.0062i | 0.261500 | − | 1.04795i | ||||
\(993\) | 18.1648 | − | 18.1648i | 0.576444 | − | 0.576444i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 23.3156 | + | 12.7571i | 0.739154 | + | 0.404426i | ||||
\(996\) | 14.1324 | + | 24.0924i | 0.447803 | + | 0.763398i | ||||
\(997\) | −6.83904 | + | 25.5236i | −0.216594 | + | 0.808342i | 0.769005 | + | 0.639243i | \(0.220752\pi\) |
−0.985599 | + | 0.169098i | \(0.945914\pi\) | |||||||
\(998\) | −1.09380 | − | 4.02649i | −0.0346238 | − | 0.127456i | ||||
\(999\) | 13.8503 | − | 23.9894i | 0.438205 | − | 0.758993i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))