Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(29,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.r (of order \(10\), 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: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.18 | ||
Character | \(\chi\) | \(=\) | 165.29 |
Dual form | 165.2.r.a.74.18 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.26516 | − | 1.74134i | 0.894600 | − | 1.23131i | −0.0775584 | − | 0.996988i | \(-0.524712\pi\) |
0.972159 | − | 0.234324i | \(-0.0752876\pi\) | |||||||
\(3\) | 1.42080 | − | 0.990613i | 0.820302 | − | 0.571931i | ||||
\(4\) | −0.813603 | − | 2.50401i | −0.406802 | − | 1.25201i | ||||
\(5\) | −2.23554 | + | 0.0487905i | −0.999762 | + | 0.0218198i | ||||
\(6\) | 0.0725479 | − | 3.72738i | 0.0296176 | − | 1.52170i | ||||
\(7\) | 1.15619 | + | 3.55838i | 0.436997 | + | 1.34494i | 0.891026 | + | 0.453953i | \(0.149986\pi\) |
−0.454028 | + | 0.890987i | \(0.650014\pi\) | |||||||
\(8\) | −1.29554 | − | 0.420945i | −0.458041 | − | 0.148827i | ||||
\(9\) | 1.03737 | − | 2.81493i | 0.345791 | − | 0.938312i | ||||
\(10\) | −2.74334 | + | 3.95455i | −0.867520 | + | 1.25054i | ||||
\(11\) | −2.90347 | + | 1.60308i | −0.875429 | + | 0.483347i | ||||
\(12\) | −3.63648 | − | 2.75175i | −1.04976 | − | 0.794361i | ||||
\(13\) | −2.36441 | − | 1.71784i | −0.655768 | − | 0.476443i | 0.209463 | − | 0.977817i | \(-0.432828\pi\) |
−0.865231 | + | 0.501373i | \(0.832828\pi\) | |||||||
\(14\) | 7.65909 | + | 2.48859i | 2.04698 | + | 0.665104i | ||||
\(15\) | −3.12793 | + | 2.28387i | −0.807627 | + | 0.589693i | ||||
\(16\) | 1.88802 | − | 1.37173i | 0.472004 | − | 0.342931i | ||||
\(17\) | 3.60354 | + | 4.95985i | 0.873987 | + | 1.20294i | 0.978050 | + | 0.208369i | \(0.0668154\pi\) |
−0.104064 | + | 0.994571i | \(0.533185\pi\) | |||||||
\(18\) | −3.58931 | − | 5.36775i | −0.846010 | − | 1.26519i | ||||
\(19\) | −1.69505 | − | 0.550755i | −0.388871 | − | 0.126352i | 0.108055 | − | 0.994145i | \(-0.465538\pi\) |
−0.496926 | + | 0.867793i | \(0.665538\pi\) | |||||||
\(20\) | 1.94101 | + | 5.55811i | 0.434023 | + | 1.24283i | ||||
\(21\) | 5.16769 | + | 3.91042i | 1.12768 | + | 0.853325i | ||||
\(22\) | −0.881833 | + | 7.08407i | −0.188007 | + | 1.51033i | ||||
\(23\) | −2.68103 | −0.559033 | −0.279516 | − | 0.960141i | \(-0.590174\pi\) | ||||
−0.279516 | + | 0.960141i | \(0.590174\pi\) | |||||||
\(24\) | −2.25770 | + | 0.685294i | −0.460851 | + | 0.139885i | ||||
\(25\) | 4.99524 | − | 0.218146i | 0.999048 | − | 0.0436292i | ||||
\(26\) | −5.98268 | + | 1.94389i | −1.17330 | + | 0.381229i | ||||
\(27\) | −1.31461 | − | 5.02711i | −0.252996 | − | 0.967467i | ||||
\(28\) | 7.96955 | − | 5.79021i | 1.50610 | − | 1.09425i | ||||
\(29\) | −1.73641 | − | 5.34411i | −0.322442 | − | 0.992376i | −0.972582 | − | 0.232561i | \(-0.925289\pi\) |
0.650139 | − | 0.759815i | \(-0.274711\pi\) | |||||||
\(30\) | 0.0196774 | + | 8.33623i | 0.00359258 | + | 1.52198i | ||||
\(31\) | −1.15665 | − | 0.840357i | −0.207741 | − | 0.150933i | 0.479050 | − | 0.877788i | \(-0.340981\pi\) |
−0.686791 | + | 0.726855i | \(0.740981\pi\) | |||||||
\(32\) | − | 7.74754i | − | 1.36958i | ||||||
\(33\) | −2.53723 | + | 5.15388i | −0.441675 | + | 0.897175i | ||||
\(34\) | 13.1958 | 2.26306 | ||||||||
\(35\) | −2.75831 | − | 7.89847i | −0.466240 | − | 1.33508i | ||||
\(36\) | −7.89264 | − | 0.307354i | −1.31544 | − | 0.0512256i | ||||
\(37\) | −3.51577 | + | 1.14234i | −0.577990 | + | 0.187800i | −0.583400 | − | 0.812185i | \(-0.698278\pi\) |
0.00541019 | + | 0.999985i | \(0.498278\pi\) | |||||||
\(38\) | −3.10355 | + | 2.25486i | −0.503462 | + | 0.365787i | ||||
\(39\) | −5.06107 | − | 0.0985063i | −0.810421 | − | 0.0157736i | ||||
\(40\) | 2.91676 | + | 0.877829i | 0.461180 | + | 0.138797i | ||||
\(41\) | 0.0785467 | − | 0.241742i | 0.0122669 | − | 0.0377537i | −0.944736 | − | 0.327833i | \(-0.893682\pi\) |
0.957003 | + | 0.290079i | \(0.0936817\pi\) | |||||||
\(42\) | 13.3473 | − | 4.05139i | 2.05953 | − | 0.625144i | ||||
\(43\) | 8.64616 | 1.31853 | 0.659264 | − | 0.751912i | \(-0.270868\pi\) | ||||
0.659264 | + | 0.751912i | \(0.270868\pi\) | |||||||
\(44\) | 6.37641 | + | 5.96605i | 0.961280 | + | 0.899416i | ||||
\(45\) | −2.18174 | + | 6.34350i | −0.325235 | + | 0.945633i | ||||
\(46\) | −3.39192 | + | 4.66857i | −0.500111 | + | 0.688343i | ||||
\(47\) | −2.93342 | + | 9.02814i | −0.427883 | + | 1.31689i | 0.472323 | + | 0.881426i | \(0.343416\pi\) |
−0.900206 | + | 0.435464i | \(0.856584\pi\) | |||||||
\(48\) | 1.32366 | − | 3.81925i | 0.191053 | − | 0.551261i | ||||
\(49\) | −5.66216 | + | 4.11380i | −0.808880 | + | 0.587686i | ||||
\(50\) | 5.93989 | − | 8.97439i | 0.840027 | − | 1.26917i | ||||
\(51\) | 10.0332 | + | 3.47726i | 1.40493 | + | 0.486914i | ||||
\(52\) | −2.37781 | + | 7.31814i | −0.329743 | + | 1.01484i | ||||
\(53\) | −4.45543 | − | 3.23706i | −0.612001 | − | 0.444645i | 0.238117 | − | 0.971236i | \(-0.423470\pi\) |
−0.850118 | + | 0.526592i | \(0.823470\pi\) | |||||||
\(54\) | −10.4171 | − | 4.07090i | −1.41758 | − | 0.553979i | ||||
\(55\) | 6.41259 | − | 3.72541i | 0.864674 | − | 0.502334i | ||||
\(56\) | − | 5.09670i | − | 0.681075i | ||||||
\(57\) | −2.95392 | + | 0.896622i | −0.391256 | + | 0.118760i | ||||
\(58\) | −11.5027 | − | 3.73746i | −1.51038 | − | 0.490753i | ||||
\(59\) | 0.0480847 | − | 0.0156237i | 0.00626009 | − | 0.00203403i | −0.305885 | − | 0.952068i | \(-0.598952\pi\) |
0.312145 | + | 0.950034i | \(0.398952\pi\) | |||||||
\(60\) | 8.26374 | + | 5.97421i | 1.06684 | + | 0.771267i | ||||
\(61\) | 1.70674 | + | 2.34913i | 0.218526 | + | 0.300776i | 0.904179 | − | 0.427153i | \(-0.140483\pi\) |
−0.685653 | + | 0.727928i | \(0.740483\pi\) | |||||||
\(62\) | −2.92669 | + | 0.950939i | −0.371690 | + | 0.120769i | ||||
\(63\) | 11.2160 | + | 0.436771i | 1.41308 | + | 0.0550279i | ||||
\(64\) | −9.71504 | − | 7.05839i | −1.21438 | − | 0.882299i | ||||
\(65\) | 5.36953 | + | 3.72494i | 0.666008 | + | 0.462021i | ||||
\(66\) | 5.76465 | + | 10.9386i | 0.709580 | + | 1.34645i | ||||
\(67\) | − | 2.45040i | − | 0.299364i | −0.988734 | − | 0.149682i | \(-0.952175\pi\) | ||
0.988734 | − | 0.149682i | \(-0.0478250\pi\) | |||||||
\(68\) | 9.48767 | − | 13.0587i | 1.15055 | − | 1.58359i | ||||
\(69\) | −3.80922 | + | 2.65586i | −0.458576 | + | 0.319728i | ||||
\(70\) | −17.2436 | − | 5.18964i | −2.06100 | − | 0.620281i | ||||
\(71\) | −0.490070 | − | 0.674523i | −0.0581606 | − | 0.0800512i | 0.778946 | − | 0.627091i | \(-0.215755\pi\) |
−0.837107 | + | 0.547040i | \(0.815755\pi\) | |||||||
\(72\) | −2.52889 | + | 3.21018i | −0.298032 | + | 0.378323i | ||||
\(73\) | −1.79580 | − | 5.52690i | −0.210182 | − | 0.646875i | −0.999461 | − | 0.0328393i | \(-0.989545\pi\) |
0.789278 | − | 0.614036i | \(-0.210455\pi\) | |||||||
\(74\) | −2.45879 | + | 7.56739i | −0.285829 | + | 0.879691i | ||||
\(75\) | 6.88116 | − | 5.25829i | 0.794568 | − | 0.607175i | ||||
\(76\) | 4.69252i | 0.538269i | ||||||||
\(77\) | −9.06132 | − | 8.47817i | −1.03263 | − | 0.966177i | ||||
\(78\) | −6.57458 | + | 8.68841i | −0.744425 | + | 0.983769i | ||||
\(79\) | −5.17618 | + | 7.12440i | −0.582366 | + | 0.801558i | −0.993952 | − | 0.109813i | \(-0.964975\pi\) |
0.411586 | + | 0.911371i | \(0.364975\pi\) | |||||||
\(80\) | −4.15380 | + | 3.15866i | −0.464409 | + | 0.353149i | ||||
\(81\) | −6.84772 | − | 5.84027i | −0.760858 | − | 0.648919i | ||||
\(82\) | −0.321580 | − | 0.442617i | −0.0355126 | − | 0.0488789i | ||||
\(83\) | −0.718410 | − | 0.988807i | −0.0788557 | − | 0.108536i | 0.767767 | − | 0.640729i | \(-0.221368\pi\) |
−0.846623 | + | 0.532194i | \(0.821368\pi\) | |||||||
\(84\) | 5.58731 | − | 16.1215i | 0.609625 | − | 1.75900i | ||||
\(85\) | −8.29783 | − | 10.9121i | −0.900026 | − | 1.18358i | ||||
\(86\) | 10.9387 | − | 15.0559i | 1.17956 | − | 1.62352i | ||||
\(87\) | −7.76104 | − | 5.87283i | −0.832070 | − | 0.629633i | ||||
\(88\) | 4.43636 | − | 0.854650i | 0.472918 | − | 0.0911060i | ||||
\(89\) | − | 1.49038i | − | 0.157980i | −0.996875 | − | 0.0789901i | \(-0.974830\pi\) | ||
0.996875 | − | 0.0789901i | \(-0.0251695\pi\) | |||||||
\(90\) | 8.28594 | + | 11.8247i | 0.873414 | + | 1.24643i | ||||
\(91\) | 3.37903 | − | 10.3996i | 0.354219 | − | 1.09017i | ||||
\(92\) | 2.18129 | + | 6.71333i | 0.227415 | + | 0.699913i | ||||
\(93\) | −2.47584 | − | 0.0481886i | −0.256733 | − | 0.00499693i | ||||
\(94\) | 12.0098 | + | 16.5301i | 1.23872 | + | 1.70495i | ||||
\(95\) | 3.81621 | + | 1.14853i | 0.391535 | + | 0.117837i | ||||
\(96\) | −7.67481 | − | 11.0077i | −0.783307 | − | 1.12347i | ||||
\(97\) | −4.47759 | + | 6.16287i | −0.454630 | + | 0.625745i | −0.973384 | − | 0.229179i | \(-0.926396\pi\) |
0.518754 | + | 0.854924i | \(0.326396\pi\) | |||||||
\(98\) | 15.0643i | 1.52173i | ||||||||
\(99\) | 1.50059 | + | 9.83607i | 0.150815 | + | 0.988562i | ||||
\(100\) | −4.61038 | − | 12.3307i | −0.461038 | − | 1.23307i | ||||
\(101\) | 8.50114 | + | 6.17644i | 0.845895 | + | 0.614579i | 0.924011 | − | 0.382366i | \(-0.124890\pi\) |
−0.0781161 | + | 0.996944i | \(0.524890\pi\) | |||||||
\(102\) | 18.7487 | − | 13.0719i | 1.85639 | − | 1.29431i | ||||
\(103\) | −3.92066 | + | 1.27390i | −0.386314 | + | 0.125521i | −0.495734 | − | 0.868475i | \(-0.665101\pi\) |
0.109420 | + | 0.993996i | \(0.465101\pi\) | |||||||
\(104\) | 2.34006 | + | 3.22081i | 0.229462 | + | 0.315827i | ||||
\(105\) | −11.7433 | − | 8.48976i | −1.14603 | − | 0.828516i | ||||
\(106\) | −11.2736 | + | 3.66303i | −1.09499 | + | 0.355785i | ||||
\(107\) | 2.15093 | + | 0.698881i | 0.207939 | + | 0.0675634i | 0.411134 | − | 0.911575i | \(-0.365133\pi\) |
−0.203196 | + | 0.979138i | \(0.565133\pi\) | |||||||
\(108\) | −11.5184 | + | 7.38187i | −1.10836 | + | 0.710320i | ||||
\(109\) | − | 13.9966i | − | 1.34063i | −0.742076 | − | 0.670315i | \(-0.766159\pi\) | ||
0.742076 | − | 0.670315i | \(-0.233841\pi\) | |||||||
\(110\) | 1.62573 | − | 15.8797i | 0.155008 | − | 1.51407i | ||||
\(111\) | −3.86361 | + | 5.10582i | −0.366717 | + | 0.484623i | ||||
\(112\) | 7.06402 | + | 5.13231i | 0.667487 | + | 0.484957i | ||||
\(113\) | 0.501772 | − | 1.54430i | 0.0472028 | − | 0.145275i | −0.924677 | − | 0.380752i | \(-0.875665\pi\) |
0.971880 | + | 0.235477i | \(0.0756652\pi\) | |||||||
\(114\) | −2.17584 | + | 6.27813i | −0.203786 | + | 0.588001i | ||||
\(115\) | 5.99353 | − | 0.130809i | 0.558900 | − | 0.0121980i | ||||
\(116\) | −11.9690 | + | 8.69597i | −1.11129 | + | 0.807400i | ||||
\(117\) | −7.28838 | + | 4.87361i | −0.673811 | + | 0.450565i | ||||
\(118\) | 0.0336285 | − | 0.103498i | 0.00309576 | − | 0.00952776i | ||||
\(119\) | −13.4826 | + | 18.5573i | −1.23595 | + | 1.70114i | ||||
\(120\) | 5.01373 | − | 1.64215i | 0.457689 | − | 0.149907i | ||||
\(121\) | 5.86026 | − | 9.30899i | 0.532751 | − | 0.846272i | ||||
\(122\) | 6.24993 | 0.565842 | ||||||||
\(123\) | −0.127873 | − | 0.421277i | −0.0115299 | − | 0.0379853i | ||||
\(124\) | −1.16321 | + | 3.57999i | −0.104459 | + | 0.321492i | ||||
\(125\) | −11.1564 | + | 0.731393i | −0.997858 | + | 0.0654178i | ||||
\(126\) | 14.9505 | − | 18.9782i | 1.33190 | − | 1.69072i | ||||
\(127\) | 16.3861 | − | 11.9052i | 1.45403 | − | 1.05641i | 0.469161 | − | 0.883112i | \(-0.344556\pi\) |
0.984869 | − | 0.173302i | \(-0.0554438\pi\) | |||||||
\(128\) | −9.84539 | + | 3.19896i | −0.870218 | + | 0.282751i | ||||
\(129\) | 12.2845 | − | 8.56500i | 1.08159 | − | 0.754106i | ||||
\(130\) | 13.2797 | − | 4.63754i | 1.16470 | − | 0.406739i | ||||
\(131\) | 11.4641 | 1.00163 | 0.500813 | − | 0.865556i | \(-0.333034\pi\) | ||||
0.500813 | + | 0.865556i | \(0.333034\pi\) | |||||||
\(132\) | 14.9697 | + | 2.16004i | 1.30294 | + | 0.188007i | ||||
\(133\) | − | 6.66839i | − | 0.578223i | ||||||
\(134\) | −4.26698 | − | 3.10014i | −0.368611 | − | 0.267811i | ||||
\(135\) | 3.18413 | + | 11.1741i | 0.274046 | + | 0.961717i | ||||
\(136\) | −2.58069 | − | 7.94256i | −0.221293 | − | 0.681069i | ||||
\(137\) | 14.9880 | − | 10.8894i | 1.28051 | − | 0.930347i | 0.280944 | − | 0.959724i | \(-0.409352\pi\) |
0.999568 | + | 0.0293772i | \(0.00935241\pi\) | |||||||
\(138\) | −0.194503 | + | 9.99321i | −0.0165572 | + | 0.850678i | ||||
\(139\) | 7.52360 | − | 2.44457i | 0.638143 | − | 0.207345i | 0.0279644 | − | 0.999609i | \(-0.491098\pi\) |
0.610179 | + | 0.792264i | \(0.291098\pi\) | |||||||
\(140\) | −17.5337 | + | 13.3331i | −1.48187 | + | 1.12685i | ||||
\(141\) | 4.77557 | + | 15.7331i | 0.402176 | + | 1.32497i | ||||
\(142\) | −1.79459 | −0.150598 | ||||||||
\(143\) | 9.61882 | + | 1.19736i | 0.804366 | + | 0.100128i | ||||
\(144\) | −1.90274 | − | 6.73764i | −0.158562 | − | 0.561470i | ||||
\(145\) | 4.14254 | + | 11.8622i | 0.344019 | + | 0.985104i | ||||
\(146\) | −11.8962 | − | 3.86530i | −0.984534 | − | 0.319894i | ||||
\(147\) | −3.96964 | + | 11.4539i | −0.327410 | + | 0.944703i | ||||
\(148\) | 5.72089 | + | 7.87413i | 0.470254 | + | 0.647249i | ||||
\(149\) | 5.44385 | − | 3.95519i | 0.445978 | − | 0.324022i | −0.342028 | − | 0.939690i | \(-0.611114\pi\) |
0.788006 | + | 0.615668i | \(0.211114\pi\) | |||||||
\(150\) | −0.450719 | − | 18.6350i | −0.0368010 | − | 1.52154i | ||||
\(151\) | 5.06380 | + | 1.64533i | 0.412086 | + | 0.133895i | 0.507721 | − | 0.861522i | \(-0.330488\pi\) |
−0.0956350 | + | 0.995416i | \(0.530488\pi\) | |||||||
\(152\) | 1.96416 | + | 1.42705i | 0.159314 | + | 0.115749i | ||||
\(153\) | 17.6999 | − | 4.99852i | 1.43095 | − | 0.404107i | ||||
\(154\) | −26.2273 | + | 5.05261i | −2.11346 | + | 0.407151i | ||||
\(155\) | 2.62674 | + | 1.82221i | 0.210985 | + | 0.146364i | ||||
\(156\) | 3.87105 | + | 12.7531i | 0.309932 | + | 1.02107i | ||||
\(157\) | −8.71622 | − | 2.83207i | −0.695630 | − | 0.226024i | −0.0602045 | − | 0.998186i | \(-0.519175\pi\) |
−0.635426 | + | 0.772162i | \(0.719175\pi\) | |||||||
\(158\) | 5.85731 | + | 18.0270i | 0.465983 | + | 1.43415i | ||||
\(159\) | −9.53698 | − | 0.185623i | −0.756332 | − | 0.0147209i | ||||
\(160\) | 0.378006 | + | 17.3199i | 0.0298840 | + | 1.36926i | ||||
\(161\) | −3.09977 | − | 9.54010i | −0.244296 | − | 0.751865i | ||||
\(162\) | −18.8333 | + | 4.53534i | −1.47968 | + | 0.356330i | ||||
\(163\) | −13.6145 | + | 18.7387i | −1.06637 | + | 1.46773i | −0.192668 | + | 0.981264i | \(0.561714\pi\) |
−0.873700 | + | 0.486465i | \(0.838286\pi\) | |||||||
\(164\) | −0.669231 | −0.0522581 | ||||||||
\(165\) | 5.42060 | − | 11.6455i | 0.421993 | − | 0.906599i | ||||
\(166\) | −2.63075 | −0.204186 | ||||||||
\(167\) | −8.67860 | + | 11.9451i | −0.671570 | + | 0.924337i | −0.999795 | − | 0.0202628i | \(-0.993550\pi\) |
0.328225 | + | 0.944600i | \(0.393550\pi\) | |||||||
\(168\) | −5.04886 | − | 7.24142i | −0.389528 | − | 0.558687i | ||||
\(169\) | −1.37779 | − | 4.24039i | −0.105983 | − | 0.326184i | ||||
\(170\) | −29.4997 | + | 0.643830i | −2.26252 | + | 0.0493795i | ||||
\(171\) | −3.30873 | + | 4.20011i | −0.253025 | + | 0.321191i | ||||
\(172\) | −7.03455 | − | 21.6501i | −0.536379 | − | 1.65081i | ||||
\(173\) | −0.743915 | − | 0.241713i | −0.0565588 | − | 0.0183771i | 0.280601 | − | 0.959825i | \(-0.409466\pi\) |
−0.337160 | + | 0.941447i | \(0.609466\pi\) | |||||||
\(174\) | −20.0455 | + | 6.08454i | −1.51964 | + | 0.461268i | ||||
\(175\) | 6.55167 | + | 17.5227i | 0.495260 | + | 1.32459i | ||||
\(176\) | −3.28281 | + | 7.00941i | −0.247451 | + | 0.528354i | ||||
\(177\) | 0.0528419 | − | 0.0698314i | 0.00397184 | − | 0.00524885i | ||||
\(178\) | −2.59526 | − | 1.88557i | −0.194523 | − | 0.141329i | ||||
\(179\) | 16.7470 | + | 5.44143i | 1.25173 | + | 0.406711i | 0.858540 | − | 0.512746i | \(-0.171372\pi\) |
0.393189 | + | 0.919458i | \(0.371372\pi\) | |||||||
\(180\) | 17.6593 | + | 0.302014i | 1.31625 | + | 0.0225108i | ||||
\(181\) | −18.7514 | + | 13.6237i | −1.39378 | + | 1.01264i | −0.398343 | + | 0.917236i | \(0.630415\pi\) |
−0.995439 | + | 0.0954051i | \(0.969585\pi\) | |||||||
\(182\) | −13.8342 | − | 19.0411i | −1.02546 | − | 1.41142i | ||||
\(183\) | 4.75203 | + | 1.64694i | 0.351280 | + | 0.121745i | ||||
\(184\) | 3.47337 | + | 1.12857i | 0.256060 | + | 0.0831990i | ||||
\(185\) | 7.80390 | − | 2.72529i | 0.573754 | − | 0.200367i | ||||
\(186\) | −3.21624 | + | 4.25031i | −0.235826 | + | 0.311648i | ||||
\(187\) | −18.4138 | − | 8.62399i | −1.34655 | − | 0.630648i | ||||
\(188\) | 24.9932 | 1.82282 | ||||||||
\(189\) | 16.3684 | − | 10.4901i | 1.19063 | − | 0.763046i | ||||
\(190\) | 6.82808 | − | 5.19224i | 0.495361 | − | 0.376685i | ||||
\(191\) | 11.7130 | − | 3.80577i | 0.847519 | − | 0.275376i | 0.147113 | − | 0.989120i | \(-0.453002\pi\) |
0.700407 | + | 0.713744i | \(0.253002\pi\) | |||||||
\(192\) | −20.7953 | − | 0.404750i | −1.50077 | − | 0.0292103i | ||||
\(193\) | −14.3079 | + | 10.3953i | −1.02991 | + | 0.748272i | −0.968290 | − | 0.249828i | \(-0.919626\pi\) |
−0.0616173 | + | 0.998100i | \(0.519626\pi\) | |||||||
\(194\) | 5.06679 | + | 15.5940i | 0.363775 | + | 1.11958i | ||||
\(195\) | 11.3190 | − | 0.0267182i | 0.810572 | − | 0.00191333i | ||||
\(196\) | 14.9078 | + | 10.8311i | 1.06484 | + | 0.773651i | ||||
\(197\) | 10.8770i | 0.774956i | 0.921879 | + | 0.387478i | \(0.126654\pi\) | ||||
−0.921879 | + | 0.387478i | \(0.873346\pi\) | |||||||
\(198\) | 19.0264 | + | 9.83112i | 1.35215 | + | 0.698667i | ||||
\(199\) | 26.0901 | 1.84948 | 0.924739 | − | 0.380602i | \(-0.124283\pi\) | ||||
0.924739 | + | 0.380602i | \(0.124283\pi\) | |||||||
\(200\) | −6.56334 | − | 1.82011i | −0.464099 | − | 0.128701i | ||||
\(201\) | −2.42740 | − | 3.48154i | −0.171216 | − | 0.245569i | ||||
\(202\) | 21.5105 | − | 6.98920i | 1.51348 | − | 0.491758i | ||||
\(203\) | 17.0087 | − | 12.3576i | 1.19378 | − | 0.867332i | ||||
\(204\) | 0.544052 | − | 27.9524i | 0.0380913 | − | 1.95706i | ||||
\(205\) | −0.163799 | + | 0.544255i | −0.0114402 | + | 0.0380124i | ||||
\(206\) | −2.74196 | + | 8.43887i | −0.191041 | + | 0.587964i | ||||
\(207\) | −2.78122 | + | 7.54692i | −0.193308 | + | 0.524547i | ||||
\(208\) | −6.82045 | −0.472913 | ||||||||
\(209\) | 5.80442 | − | 1.11820i | 0.401500 | − | 0.0773477i | ||||
\(210\) | −29.6407 | + | 9.70826i | −2.04540 | + | 0.669933i | ||||
\(211\) | 10.0687 | − | 13.8584i | 0.693161 | − | 0.954055i | −0.306836 | − | 0.951762i | \(-0.599270\pi\) |
0.999997 | − | 0.00229222i | \(-0.000729636\pi\) | |||||||
\(212\) | −4.48069 | + | 13.7902i | −0.307735 | + | 0.947111i | ||||
\(213\) | −1.36449 | − | 0.472896i | −0.0934930 | − | 0.0324023i | ||||
\(214\) | 3.93826 | − | 2.86131i | 0.269214 | − | 0.195595i | ||||
\(215\) | −19.3288 | + | 0.421851i | −1.31821 | + | 0.0287700i | ||||
\(216\) | −0.413015 | + | 7.06618i | −0.0281021 | + | 0.480793i | ||||
\(217\) | 1.65300 | − | 5.08741i | 0.112213 | − | 0.345356i | ||||
\(218\) | −24.3728 | − | 17.7079i | −1.65073 | − | 1.19933i | ||||
\(219\) | −8.02650 | − | 6.07371i | −0.542381 | − | 0.410423i | ||||
\(220\) | −14.5458 | − | 13.0262i | −0.980676 | − | 0.878227i | ||||
\(221\) | − | 17.9174i | − | 1.20525i | ||||||
\(222\) | 4.00289 | + | 13.1875i | 0.268656 | + | 0.885087i | ||||
\(223\) | 12.6327 | + | 4.10463i | 0.845951 | + | 0.274866i | 0.699749 | − | 0.714389i | \(-0.253295\pi\) |
0.146202 | + | 0.989255i | \(0.453295\pi\) | |||||||
\(224\) | 27.5687 | − | 8.95760i | 1.84201 | − | 0.598505i | ||||
\(225\) | 4.56786 | − | 14.2876i | 0.304524 | − | 0.952505i | ||||
\(226\) | −2.05432 | − | 2.82753i | −0.136651 | − | 0.188085i | ||||
\(227\) | 2.36556 | − | 0.768619i | 0.157008 | − | 0.0510150i | −0.229458 | − | 0.973318i | \(-0.573695\pi\) |
0.386466 | + | 0.922303i | \(0.373695\pi\) | |||||||
\(228\) | 4.64847 | + | 6.66715i | 0.307852 | + | 0.441543i | ||||
\(229\) | −9.81334 | − | 7.12981i | −0.648484 | − | 0.471151i | 0.214270 | − | 0.976774i | \(-0.431263\pi\) |
−0.862754 | + | 0.505623i | \(0.831263\pi\) | |||||||
\(230\) | 7.35497 | − | 10.6023i | 0.484972 | − | 0.699092i | ||||
\(231\) | −21.2730 | − | 3.06957i | −1.39966 | − | 0.201963i | ||||
\(232\) | 7.65442i | 0.502537i | ||||||||
\(233\) | −3.30584 | + | 4.55009i | −0.216572 | + | 0.298086i | −0.903456 | − | 0.428681i | \(-0.858978\pi\) |
0.686883 | + | 0.726768i | \(0.258978\pi\) | |||||||
\(234\) | −0.734341 | + | 18.8574i | −0.0480054 | + | 1.23275i | ||||
\(235\) | 6.11728 | − | 20.3258i | 0.399047 | − | 1.32591i | ||||
\(236\) | −0.0782437 | − | 0.107693i | −0.00509323 | − | 0.00701023i | ||||
\(237\) | −0.296818 | + | 15.2500i | −0.0192804 | + | 0.990592i | ||||
\(238\) | 15.2568 | + | 46.9556i | 0.988952 | + | 3.04368i | ||||
\(239\) | 4.41810 | − | 13.5975i | 0.285783 | − | 0.879551i | −0.700379 | − | 0.713771i | \(-0.746986\pi\) |
0.986163 | − | 0.165780i | \(-0.0530142\pi\) | |||||||
\(240\) | −2.77274 | + | 8.60265i | −0.178979 | + | 0.555298i | ||||
\(241\) | 12.5806i | 0.810390i | 0.914230 | + | 0.405195i | \(0.132796\pi\) | ||||
−0.914230 | + | 0.405195i | \(0.867204\pi\) | |||||||
\(242\) | −8.79596 | − | 21.9820i | −0.565426 | − | 1.41306i | ||||
\(243\) | −15.5147 | − | 1.51445i | −0.995270 | − | 0.0971518i | ||||
\(244\) | 4.49365 | − | 6.18497i | 0.287676 | − | 0.395952i | ||||
\(245\) | 12.4572 | − | 9.47280i | 0.795864 | − | 0.605195i | ||||
\(246\) | −0.895365 | − | 0.310311i | −0.0570864 | − | 0.0197847i | ||||
\(247\) | 3.06167 | + | 4.21403i | 0.194810 | + | 0.268132i | ||||
\(248\) | 1.14474 | + | 1.57560i | 0.0726911 | + | 0.100051i | ||||
\(249\) | −2.00024 | − | 0.693235i | −0.126760 | − | 0.0439320i | ||||
\(250\) | −12.8410 | + | 20.3524i | −0.812134 | + | 1.28720i | ||||
\(251\) | −2.90618 | + | 4.00001i | −0.183436 | + | 0.252478i | −0.890825 | − | 0.454346i | \(-0.849873\pi\) |
0.707389 | + | 0.706824i | \(0.249873\pi\) | |||||||
\(252\) | −8.03169 | − | 28.4404i | −0.505949 | − | 1.79157i | ||||
\(253\) | 7.78428 | − | 4.29791i | 0.489393 | − | 0.270207i | ||||
\(254\) | − | 43.5956i | − | 2.73543i | ||||||
\(255\) | −22.5993 | − | 7.28401i | −1.41522 | − | 0.456143i | ||||
\(256\) | 0.536150 | − | 1.65010i | 0.0335094 | − | 0.103131i | ||||
\(257\) | −2.80157 | − | 8.62234i | −0.174757 | − | 0.537847i | 0.824865 | − | 0.565329i | \(-0.191251\pi\) |
−0.999622 | + | 0.0274825i | \(0.991251\pi\) | |||||||
\(258\) | 0.627261 | − | 32.2275i | 0.0390516 | − | 2.00640i | ||||
\(259\) | −8.12978 | − | 11.1897i | −0.505160 | − | 0.695293i | ||||
\(260\) | 4.95862 | − | 16.4760i | 0.307521 | − | 1.02180i | ||||
\(261\) | −16.8446 | − | 0.655959i | −1.04266 | − | 0.0406029i | ||||
\(262\) | 14.5039 | − | 19.9629i | 0.896055 | − | 1.23331i | ||||
\(263\) | 7.36321i | 0.454035i | 0.973891 | + | 0.227017i | \(0.0728974\pi\) | ||||
−0.973891 | + | 0.227017i | \(0.927103\pi\) | |||||||
\(264\) | 5.45657 | − | 5.60901i | 0.335829 | − | 0.345210i | ||||
\(265\) | 10.1182 | + | 7.01919i | 0.621557 | + | 0.431185i | ||||
\(266\) | −11.6119 | − | 8.43656i | −0.711973 | − | 0.517279i | ||||
\(267\) | −1.47639 | − | 2.11754i | −0.0903537 | − | 0.129591i | ||||
\(268\) | −6.13584 | + | 1.99366i | −0.374806 | + | 0.121782i | ||||
\(269\) | 15.0348 | + | 20.6936i | 0.916686 | + | 1.26171i | 0.964831 | + | 0.262869i | \(0.0846688\pi\) |
−0.0481459 | + | 0.998840i | \(0.515331\pi\) | |||||||
\(270\) | 23.4864 | + | 8.59238i | 1.42933 | + | 0.522916i | ||||
\(271\) | −5.91321 | + | 1.92132i | −0.359202 | + | 0.116712i | −0.483058 | − | 0.875588i | \(-0.660474\pi\) |
0.123856 | + | 0.992300i | \(0.460474\pi\) | |||||||
\(272\) | 13.6071 | + | 4.42121i | 0.825051 | + | 0.268075i | ||||
\(273\) | −5.50102 | − | 18.1231i | −0.332937 | − | 1.09686i | ||||
\(274\) | − | 39.8760i | − | 2.40900i | ||||||
\(275\) | −14.1538 | + | 8.64116i | −0.853507 | + | 0.521081i | ||||
\(276\) | 9.74950 | + | 7.37751i | 0.586851 | + | 0.444074i | ||||
\(277\) | 10.9695 | + | 7.96979i | 0.659091 | + | 0.478858i | 0.866356 | − | 0.499427i | \(-0.166456\pi\) |
−0.207265 | + | 0.978285i | \(0.566456\pi\) | |||||||
\(278\) | 5.26171 | − | 16.1939i | 0.315576 | − | 0.971245i | ||||
\(279\) | −3.56543 | + | 2.38414i | −0.213457 | + | 0.142735i | ||||
\(280\) | 0.248671 | + | 11.3939i | 0.0148609 | + | 0.680913i | ||||
\(281\) | −9.35985 | + | 6.80033i | −0.558362 | + | 0.405674i | −0.830859 | − | 0.556483i | \(-0.812150\pi\) |
0.272497 | + | 0.962157i | \(0.412150\pi\) | |||||||
\(282\) | 33.4385 | + | 11.5889i | 1.99123 | + | 0.690112i | ||||
\(283\) | −2.18516 | + | 6.72524i | −0.129894 | + | 0.399774i | −0.994761 | − | 0.102228i | \(-0.967403\pi\) |
0.864867 | + | 0.502002i | \(0.167403\pi\) | |||||||
\(284\) | −1.29029 | + | 1.77594i | −0.0765648 | + | 0.105382i | ||||
\(285\) | 6.55984 | − | 2.14855i | 0.388571 | − | 0.127269i | ||||
\(286\) | 14.2543 | − | 15.2348i | 0.842875 | − | 0.900850i | ||||
\(287\) | 0.951023 | 0.0561371 | ||||||||
\(288\) | −21.8088 | − | 8.03708i | −1.28510 | − | 0.473590i | ||||
\(289\) | −6.36129 | + | 19.5780i | −0.374194 | + | 1.15165i | ||||
\(290\) | 25.8971 | + | 7.79400i | 1.52073 | + | 0.457680i | ||||
\(291\) | −0.256759 | + | 13.1918i | −0.0150515 | + | 0.773317i | ||||
\(292\) | −12.3784 | + | 8.99341i | −0.724389 | + | 0.526300i | ||||
\(293\) | −23.3787 | + | 7.59620i | −1.36580 | + | 0.443775i | −0.897974 | − | 0.440048i | \(-0.854962\pi\) |
−0.467823 | + | 0.883822i | \(0.654962\pi\) | |||||||
\(294\) | 14.9229 | + | 21.4035i | 0.870322 | + | 1.24828i | ||||
\(295\) | −0.106733 | + | 0.0372733i | −0.00621422 | + | 0.00217014i | ||||
\(296\) | 5.03568 | 0.292693 | ||||||||
\(297\) | 11.8758 | + | 12.4886i | 0.689103 | + | 0.724663i | ||||
\(298\) | − | 14.4835i | − | 0.839008i | ||||||
\(299\) | 6.33904 | + | 4.60558i | 0.366596 | + | 0.266348i | ||||
\(300\) | −18.7654 | − | 12.9524i | −1.08342 | − | 0.747805i | ||||
\(301\) | 9.99658 | + | 30.7663i | 0.576193 | + | 1.77334i | ||||
\(302\) | 9.27156 | − | 6.73618i | 0.533518 | − | 0.387624i | ||||
\(303\) | 18.1969 | + | 0.354176i | 1.04539 | + | 0.0203469i | ||||
\(304\) | −3.95576 | + | 1.28531i | −0.226879 | + | 0.0737173i | ||||
\(305\) | −3.93010 | − | 5.16830i | −0.225037 | − | 0.295936i | ||||
\(306\) | 13.6890 | − | 37.1453i | 0.782546 | − | 2.12346i | ||||
\(307\) | 4.60472 | 0.262805 | 0.131403 | − | 0.991329i | \(-0.458052\pi\) | ||||
0.131403 | + | 0.991329i | \(0.458052\pi\) | |||||||
\(308\) | −13.8571 | + | 29.5875i | −0.789584 | + | 1.68591i | ||||
\(309\) | −4.30855 | + | 5.69382i | −0.245105 | + | 0.323910i | ||||
\(310\) | 6.49632 | − | 2.26865i | 0.368966 | − | 0.128851i | ||||
\(311\) | −19.4975 | − | 6.33511i | −1.10560 | − | 0.359231i | −0.301345 | − | 0.953515i | \(-0.597436\pi\) |
−0.804255 | + | 0.594284i | \(0.797436\pi\) | |||||||
\(312\) | 6.51534 | + | 2.25806i | 0.368859 | + | 0.127837i | ||||
\(313\) | −16.5721 | − | 22.8096i | −0.936712 | − | 1.28927i | −0.957183 | − | 0.289482i | \(-0.906517\pi\) |
0.0204718 | − | 0.999790i | \(-0.493483\pi\) | |||||||
\(314\) | −15.9590 | + | 11.5949i | −0.900617 | + | 0.654336i | ||||
\(315\) | −25.0951 | − | 0.429182i | −1.41395 | − | 0.0241817i | ||||
\(316\) | 22.0510 | + | 7.16479i | 1.24046 | + | 0.403051i | ||||
\(317\) | −9.41776 | − | 6.84240i | −0.528954 | − | 0.384308i | 0.291012 | − | 0.956719i | \(-0.406008\pi\) |
−0.819966 | + | 0.572412i | \(0.806008\pi\) | |||||||
\(318\) | −12.3890 | + | 16.3723i | −0.694740 | + | 0.918111i | ||||
\(319\) | 13.6086 | + | 12.7328i | 0.761938 | + | 0.712903i | ||||
\(320\) | 22.0627 | + | 15.3053i | 1.23334 | + | 0.855591i | ||||
\(321\) | 3.74838 | − | 1.13777i | 0.209214 | − | 0.0635041i | ||||
\(322\) | −20.5342 | − | 6.67198i | −1.14433 | − | 0.371815i | ||||
\(323\) | −3.37651 | − | 10.3918i | −0.187874 | − | 0.578218i | ||||
\(324\) | −9.05279 | + | 21.8984i | −0.502933 | + | 1.21658i | ||||
\(325\) | −12.1855 | − | 8.06524i | −0.675931 | − | 0.447379i | ||||
\(326\) | 15.4060 | + | 47.4148i | 0.853259 | + | 2.62606i | ||||
\(327\) | −13.8652 | − | 19.8864i | −0.766748 | − | 1.09972i | ||||
\(328\) | −0.203520 | + | 0.280122i | −0.0112375 | + | 0.0154671i | ||||
\(329\) | −35.5171 | −1.95812 | ||||||||
\(330\) | −13.4208 | − | 24.1724i | −0.738790 | − | 1.33065i | ||||
\(331\) | −27.3073 | −1.50095 | −0.750473 | − | 0.660901i | \(-0.770174\pi\) | ||||
−0.750473 | + | 0.660901i | \(0.770174\pi\) | |||||||
\(332\) | −1.89148 | + | 2.60340i | −0.103809 | + | 0.142880i | ||||
\(333\) | −0.431541 | + | 11.0817i | −0.0236483 | + | 0.607274i | ||||
\(334\) | 9.82061 | + | 30.2247i | 0.537360 | + | 1.65382i | ||||
\(335\) | 0.119556 | + | 5.47796i | 0.00653206 | + | 0.299293i | ||||
\(336\) | 15.1207 | + | 0.294302i | 0.824903 | + | 0.0160555i | ||||
\(337\) | −4.52795 | − | 13.9356i | −0.246653 | − | 0.759121i | −0.995360 | − | 0.0962195i | \(-0.969325\pi\) |
0.748707 | − | 0.662901i | \(-0.230675\pi\) | |||||||
\(338\) | −9.12706 | − | 2.96556i | −0.496446 | − | 0.161305i | ||||
\(339\) | −0.816880 | − | 2.69121i | −0.0443668 | − | 0.146166i | ||||
\(340\) | −20.5729 | + | 29.6560i | −1.11572 | + | 1.60832i | ||||
\(341\) | 4.70546 | + | 0.585742i | 0.254815 | + | 0.0317197i | ||||
\(342\) | 3.12775 | + | 11.0754i | 0.169129 | + | 0.598890i | ||||
\(343\) | 0.00359571 | + | 0.00261244i | 0.000194150 | + | 0.000141058i | ||||
\(344\) | −11.2014 | − | 3.63956i | −0.603940 | − | 0.196232i | ||||
\(345\) | 8.38606 | − | 6.12312i | 0.451490 | − | 0.329658i | ||||
\(346\) | −1.36207 | + | 0.989602i | −0.0732254 | + | 0.0532014i | ||||
\(347\) | 5.35219 | + | 7.36665i | 0.287321 | + | 0.395463i | 0.928141 | − | 0.372228i | \(-0.121406\pi\) |
−0.640821 | + | 0.767690i | \(0.721406\pi\) | |||||||
\(348\) | −8.39123 | + | 24.2119i | −0.449817 | + | 1.29789i | ||||
\(349\) | 9.20764 | + | 2.99174i | 0.492874 | + | 0.160144i | 0.544900 | − | 0.838501i | \(-0.316568\pi\) |
−0.0520257 | + | 0.998646i | \(0.516568\pi\) | |||||||
\(350\) | 38.8019 | + | 10.7603i | 2.07405 | + | 0.575162i | ||||
\(351\) | −5.52751 | + | 14.1444i | −0.295036 | + | 0.754973i | ||||
\(352\) | 12.4199 | + | 22.4947i | 0.661985 | + | 1.19897i | ||||
\(353\) | 12.1628 | 0.647361 | 0.323680 | − | 0.946166i | \(-0.395080\pi\) | ||||
0.323680 | + | 0.946166i | \(0.395080\pi\) | |||||||
\(354\) | −0.0547468 | − | 0.180363i | −0.00290976 | − | 0.00958620i | ||||
\(355\) | 1.12848 | + | 1.48401i | 0.0598935 | + | 0.0787631i | ||||
\(356\) | −3.73194 | + | 1.21258i | −0.197792 | + | 0.0642666i | ||||
\(357\) | −0.773136 | + | 39.7223i | −0.0409187 | + | 2.10233i | ||||
\(358\) | 30.6629 | − | 22.2779i | 1.62059 | − | 1.17742i | ||||
\(359\) | −3.55028 | − | 10.9266i | −0.187377 | − | 0.576686i | 0.812604 | − | 0.582816i | \(-0.198049\pi\) |
−0.999981 | + | 0.00612922i | \(0.998049\pi\) | |||||||
\(360\) | 5.49679 | − | 7.29985i | 0.289706 | − | 0.384736i | ||||
\(361\) | −12.8015 | − | 9.30081i | −0.673761 | − | 0.489516i | ||||
\(362\) | 49.8886i | 2.62209i | ||||||||
\(363\) | −0.895329 | − | 19.0315i | −0.0469926 | − | 0.998895i | ||||
\(364\) | −28.7899 | −1.50900 | ||||||||
\(365\) | 4.28423 | + | 12.2680i | 0.224247 | + | 0.642135i | ||||
\(366\) | 8.87993 | − | 6.19126i | 0.464161 | − | 0.323622i | ||||
\(367\) | −0.551086 | + | 0.179059i | −0.0287665 | + | 0.00934679i | −0.323365 | − | 0.946274i | \(-0.604814\pi\) |
0.294598 | + | 0.955621i | \(0.404814\pi\) | |||||||
\(368\) | −5.06183 | + | 3.67763i | −0.263866 | + | 0.191710i | ||||
\(369\) | −0.599005 | − | 0.471880i | −0.0311830 | − | 0.0245651i | ||||
\(370\) | 5.12751 | − | 17.0371i | 0.266566 | − | 0.885719i | ||||
\(371\) | 6.36737 | − | 19.5968i | 0.330578 | − | 1.01741i | ||||
\(372\) | 1.89369 | + | 6.23875i | 0.0981832 | + | 0.323464i | ||||
\(373\) | −18.7673 | −0.971735 | −0.485867 | − | 0.874032i | \(-0.661496\pi\) | ||||
−0.485867 | + | 0.874032i | \(0.661496\pi\) | |||||||
\(374\) | −38.3136 | + | 21.1540i | −1.98115 | + | 1.09384i | ||||
\(375\) | −15.1265 | + | 12.0908i | −0.781130 | + | 0.624368i | ||||
\(376\) | 7.60071 | − | 10.4615i | 0.391977 | − | 0.539509i | ||||
\(377\) | −5.07476 | + | 15.6185i | −0.261364 | + | 0.804394i | ||||
\(378\) | 2.44171 | − | 41.7746i | 0.125588 | − | 2.14865i | ||||
\(379\) | 3.28240 | − | 2.38480i | 0.168606 | − | 0.122499i | −0.500283 | − | 0.865862i | \(-0.666771\pi\) |
0.668888 | + | 0.743363i | \(0.266771\pi\) | |||||||
\(380\) | −0.228950 | − | 10.4903i | −0.0117449 | − | 0.538141i | ||||
\(381\) | 11.4880 | − | 33.1472i | 0.588548 | − | 1.69818i | ||||
\(382\) | 8.19158 | − | 25.2111i | 0.419118 | − | 1.28991i | ||||
\(383\) | 22.8848 | + | 16.6268i | 1.16936 | + | 0.849590i | 0.990932 | − | 0.134363i | \(-0.0428988\pi\) |
0.178428 | + | 0.983953i | \(0.442899\pi\) | |||||||
\(384\) | −10.8194 | + | 14.2981i | −0.552128 | + | 0.729645i | ||||
\(385\) | 20.6706 | + | 18.5111i | 1.05347 | + | 0.943416i | ||||
\(386\) | 38.0666i | 1.93754i | ||||||||
\(387\) | 8.96929 | − | 24.3384i | 0.455935 | − | 1.23719i | ||||
\(388\) | 19.0749 | + | 6.19781i | 0.968381 | + | 0.314646i | ||||
\(389\) | −37.3298 | + | 12.1292i | −1.89270 | + | 0.614975i | −0.915639 | + | 0.402001i | \(0.868315\pi\) |
−0.977058 | + | 0.212973i | \(0.931685\pi\) | |||||||
\(390\) | 14.2738 | − | 19.7440i | 0.722782 | − | 0.999778i | ||||
\(391\) | −9.66119 | − | 13.2975i | −0.488587 | − | 0.672483i | ||||
\(392\) | 9.06722 | − | 2.94612i | 0.457964 | − | 0.148801i | ||||
\(393\) | 16.2883 | − | 11.3565i | 0.821636 | − | 0.572860i | ||||
\(394\) | 18.9406 | + | 13.7611i | 0.954212 | + | 0.693276i | ||||
\(395\) | 11.2239 | − | 16.1794i | 0.564737 | − | 0.814074i | ||||
\(396\) | 23.4088 | − | 11.7602i | 1.17633 | − | 0.590970i | ||||
\(397\) | − | 5.73171i | − | 0.287666i | −0.989602 | − | 0.143833i | \(-0.954057\pi\) | ||
0.989602 | − | 0.143833i | \(-0.0459429\pi\) | |||||||
\(398\) | 33.0080 | − | 45.4317i | 1.65454 | − | 2.27728i | ||||
\(399\) | −6.60580 | − | 9.47449i | −0.330704 | − | 0.474318i | ||||
\(400\) | 9.13186 | − | 7.26396i | 0.456593 | − | 0.363198i | ||||
\(401\) | −14.9545 | − | 20.5831i | −0.746790 | − | 1.02787i | −0.998199 | − | 0.0599878i | \(-0.980894\pi\) |
0.251409 | − | 0.967881i | \(-0.419106\pi\) | |||||||
\(402\) | −9.13358 | − | 0.177772i | −0.455542 | − | 0.00886644i | ||||
\(403\) | 1.29119 | + | 3.97389i | 0.0643190 | + | 0.197953i | ||||
\(404\) | 8.54933 | − | 26.3121i | 0.425345 | − | 1.30908i | ||||
\(405\) | 15.5933 | + | 12.7220i | 0.774836 | + | 0.632163i | ||||
\(406\) | − | 45.2522i | − | 2.24583i | ||||||
\(407\) | 8.37667 | − | 8.95283i | 0.415216 | − | 0.443775i | ||||
\(408\) | −11.5347 | − | 8.72836i | −0.571051 | − | 0.432118i | ||||
\(409\) | −11.7190 | + | 16.1298i | −0.579466 | + | 0.797566i | −0.993637 | − | 0.112633i | \(-0.964072\pi\) |
0.414171 | + | 0.910199i | \(0.364072\pi\) | |||||||
\(410\) | 0.740500 | + | 0.973797i | 0.0365707 | + | 0.0480924i | ||||
\(411\) | 10.5078 | − | 30.3191i | 0.518313 | − | 1.49553i | ||||
\(412\) | 6.37972 | + | 8.78093i | 0.314306 | + | 0.432605i | ||||
\(413\) | 0.111190 | + | 0.153039i | 0.00547129 | + | 0.00753058i | ||||
\(414\) | 9.62305 | + | 14.3911i | 0.472947 | + | 0.707283i | ||||
\(415\) | 1.65428 | + | 2.17546i | 0.0812052 | + | 0.106789i | ||||
\(416\) | −13.3090 | + | 18.3183i | −0.652529 | + | 0.898130i | ||||
\(417\) | 8.26795 | − | 10.9262i | 0.404883 | − | 0.535060i | ||||
\(418\) | 5.39633 | − | 11.5222i | 0.263943 | − | 0.563567i | ||||
\(419\) | 19.4764i | 0.951485i | 0.879585 | + | 0.475742i | \(0.157821\pi\) | ||||
−0.879585 | + | 0.475742i | \(0.842179\pi\) | |||||||
\(420\) | −11.7040 | + | 36.3128i | −0.571099 | + | 1.77188i | ||||
\(421\) | 1.31040 | − | 4.03300i | 0.0638650 | − | 0.196556i | −0.914033 | − | 0.405641i | \(-0.867048\pi\) |
0.977898 | + | 0.209084i | \(0.0670484\pi\) | |||||||
\(422\) | −11.3937 | − | 35.0662i | −0.554636 | − | 1.70699i | ||||
\(423\) | 22.3706 | + | 17.6229i | 1.08769 | + | 0.856856i | ||||
\(424\) | 4.40955 | + | 6.06923i | 0.214147 | + | 0.294748i | ||||
\(425\) | 19.0825 | + | 23.9895i | 0.925638 | + | 1.16366i | ||||
\(426\) | −2.54976 | + | 1.77774i | −0.123536 | + | 0.0861319i | ||||
\(427\) | −6.38578 | + | 8.78928i | −0.309030 | + | 0.425343i | ||||
\(428\) | − | 5.95458i | − | 0.287826i | ||||||
\(429\) | 14.8526 | − | 7.82731i | 0.717090 | − | 0.377906i | ||||
\(430\) | −23.7194 | + | 34.1917i | −1.14385 | + | 1.64887i | ||||
\(431\) | −20.9898 | − | 15.2500i | −1.01104 | − | 0.734567i | −0.0466170 | − | 0.998913i | \(-0.514844\pi\) |
−0.964428 | + | 0.264346i | \(0.914844\pi\) | |||||||
\(432\) | −9.37781 | − | 7.68799i | −0.451190 | − | 0.369888i | ||||
\(433\) | −2.14388 | + | 0.696587i | −0.103028 | + | 0.0334758i | −0.360077 | − | 0.932922i | \(-0.617250\pi\) |
0.257049 | + | 0.966398i | \(0.417250\pi\) | |||||||
\(434\) | −6.76760 | − | 9.31480i | −0.324855 | − | 0.447125i | ||||
\(435\) | 17.6366 | + | 12.7503i | 0.845611 | + | 0.611328i | ||||
\(436\) | −35.0477 | + | 11.3877i | −1.67848 | + | 0.545371i | ||||
\(437\) | 4.54447 | + | 1.47659i | 0.217391 | + | 0.0706348i | ||||
\(438\) | −20.7311 | + | 6.29266i | −0.990573 | + | 0.300675i | ||||
\(439\) | 6.34927i | 0.303034i | 0.988455 | + | 0.151517i | \(0.0484159\pi\) | ||||
−0.988455 | + | 0.151517i | \(0.951584\pi\) | |||||||
\(440\) | −9.87594 | + | 2.12705i | −0.470817 | + | 0.101403i | ||||
\(441\) | 5.70631 | + | 20.2061i | 0.271729 | + | 0.962197i | ||||
\(442\) | −31.2002 | − | 22.6683i | −1.48404 | − | 1.07822i | ||||
\(443\) | 2.52406 | − | 7.76825i | 0.119922 | − | 0.369081i | −0.873020 | − | 0.487684i | \(-0.837842\pi\) |
0.992942 | + | 0.118604i | \(0.0378417\pi\) | |||||||
\(444\) | 15.9285 | + | 5.52041i | 0.755932 | + | 0.261987i | ||||
\(445\) | 0.0727165 | + | 3.33180i | 0.00344709 | + | 0.157943i | ||||
\(446\) | 23.1299 | − | 16.8049i | 1.09523 | − | 0.795734i | ||||
\(447\) | 3.81659 | − | 11.0123i | 0.180518 | − | 0.520864i | ||||
\(448\) | 13.8840 | − | 42.7306i | 0.655958 | − | 2.01883i | ||||
\(449\) | 16.2063 | − | 22.3060i | 0.764821 | − | 1.05269i | −0.231976 | − | 0.972721i | \(-0.574519\pi\) |
0.996798 | − | 0.0799647i | \(-0.0254808\pi\) | |||||||
\(450\) | −19.1004 | − | 26.0302i | −0.900403 | − | 1.22707i | ||||
\(451\) | 0.159474 | + | 0.827807i | 0.00750934 | + | 0.0389799i | ||||
\(452\) | −4.27518 | −0.201088 | ||||||||
\(453\) | 8.82455 | − | 2.67857i | 0.414613 | − | 0.125850i | ||||
\(454\) | 1.65438 | − | 5.09167i | 0.0776441 | − | 0.238964i | ||||
\(455\) | −7.04655 | + | 23.4135i | −0.330347 | + | 1.09764i | ||||
\(456\) | 4.20434 | + | 0.0818312i | 0.196886 | + | 0.00383210i | ||||
\(457\) | −13.0649 | + | 9.49221i | −0.611150 | + | 0.444027i | −0.849819 | − | 0.527074i | \(-0.823289\pi\) |
0.238669 | + | 0.971101i | \(0.423289\pi\) | |||||||
\(458\) | −24.8308 | + | 8.06802i | −1.16027 | + | 0.376994i | ||||
\(459\) | 20.1964 | − | 24.6356i | 0.942689 | − | 1.14989i | ||||
\(460\) | −5.20390 | − | 14.9015i | −0.242633 | − | 0.694784i | ||||
\(461\) | 31.9271 | 1.48699 | 0.743497 | − | 0.668739i | \(-0.233166\pi\) | ||||
0.743497 | + | 0.668739i | \(0.233166\pi\) | |||||||
\(462\) | −32.2588 | + | 33.1599i | −1.50081 | + | 1.54274i | ||||
\(463\) | 37.3488i | 1.73575i | 0.496786 | + | 0.867873i | \(0.334513\pi\) | ||||
−0.496786 | + | 0.867873i | \(0.665487\pi\) | |||||||
\(464\) | −10.6090 | − | 7.70790i | −0.492511 | − | 0.357830i | ||||
\(465\) | 5.53719 | − | 0.0130703i | 0.256781 | − | 0.000606123i | ||||
\(466\) | 3.74085 | + | 11.5132i | 0.173292 | + | 0.533336i | ||||
\(467\) | −20.3358 | + | 14.7749i | −0.941031 | + | 0.683699i | −0.948669 | − | 0.316272i | \(-0.897569\pi\) |
0.00763775 | + | 0.999971i | \(0.497569\pi\) | |||||||
\(468\) | 18.1334 | + | 14.2850i | 0.838218 | + | 0.660325i | ||||
\(469\) | 8.71945 | − | 2.83312i | 0.402627 | − | 0.130821i | ||||
\(470\) | −27.6549 | − | 36.3676i | −1.27562 | − | 1.67751i | ||||
\(471\) | −15.1895 | + | 4.61058i | −0.699897 | + | 0.212444i | ||||
\(472\) | −0.0688722 | −0.00317010 | ||||||||
\(473\) | −25.1039 | + | 13.8605i | −1.15428 | + | 0.637307i | ||||
\(474\) | 26.1798 | + | 19.8105i | 1.20248 | + | 0.909924i | ||||
\(475\) | −8.58732 | − | 2.38138i | −0.394013 | − | 0.109265i | ||||
\(476\) | 57.4371 | + | 18.6625i | 2.63263 | + | 0.855392i | ||||
\(477\) | −13.7341 | + | 9.18372i | −0.628840 | + | 0.420494i | ||||
\(478\) | −18.0883 | − | 24.8964i | −0.827339 | − | 1.13873i | ||||
\(479\) | 10.0657 | − | 7.31316i | 0.459914 | − | 0.334147i | −0.333584 | − | 0.942720i | \(-0.608258\pi\) |
0.793497 | + | 0.608574i | \(0.208258\pi\) | |||||||
\(480\) | 17.6944 | + | 24.2337i | 0.807635 | + | 1.10611i | ||||
\(481\) | 10.2751 | + | 3.33858i | 0.468503 | + | 0.152226i | ||||
\(482\) | 21.9071 | + | 15.9165i | 0.997843 | + | 0.724975i | ||||
\(483\) | −13.8547 | − | 10.4840i | −0.630411 | − | 0.477036i | ||||
\(484\) | −28.0778 | − | 7.10033i | −1.27626 | − | 0.322742i | ||||
\(485\) | 9.70912 | − | 13.9958i | 0.440869 | − | 0.635516i | ||||
\(486\) | −22.2657 | + | 25.1003i | −1.00999 | + | 1.13857i | ||||
\(487\) | 28.4671 | + | 9.24953i | 1.28997 | + | 0.419136i | 0.872080 | − | 0.489363i | \(-0.162771\pi\) |
0.417888 | + | 0.908499i | \(0.362771\pi\) | |||||||
\(488\) | −1.22229 | − | 3.76183i | −0.0553307 | − | 0.170290i | ||||
\(489\) | −0.780695 | + | 40.1107i | −0.0353043 | + | 1.81387i | ||||
\(490\) | −0.734996 | − | 33.6768i | −0.0332037 | − | 1.52136i | ||||
\(491\) | −4.81815 | − | 14.8287i | −0.217440 | − | 0.669212i | −0.998971 | − | 0.0453457i | \(-0.985561\pi\) |
0.781531 | − | 0.623866i | \(-0.214439\pi\) | |||||||
\(492\) | −0.950846 | + | 0.662948i | −0.0428675 | + | 0.0298880i | ||||
\(493\) | 20.2487 | − | 27.8700i | 0.911958 | − | 1.25520i | ||||
\(494\) | 11.2115 | 0.504431 | ||||||||
\(495\) | −3.83454 | − | 21.9157i | −0.172350 | − | 0.985036i | ||||
\(496\) | −3.33652 | −0.149814 | ||||||||
\(497\) | 1.83360 | − | 2.52373i | 0.0822480 | − | 0.113205i | ||||
\(498\) | −3.73778 | + | 2.60605i | −0.167494 | + | 0.116780i | ||||
\(499\) | 4.37564 | + | 13.4668i | 0.195881 | + | 0.602859i | 0.999965 | + | 0.00834366i | \(0.00265590\pi\) |
−0.804085 | + | 0.594515i | \(0.797344\pi\) | |||||||
\(500\) | 10.9083 | + | 27.3407i | 0.487834 | + | 1.22271i | ||||
\(501\) | −0.497657 | + | 25.5687i | −0.0222337 | + | 1.14233i | ||||
\(502\) | 3.28860 | + | 10.1213i | 0.146777 | + | 0.451734i | ||||
\(503\) | −25.6404 | − | 8.33106i | −1.14325 | − | 0.371464i | −0.324652 | − | 0.945834i | \(-0.605247\pi\) |
−0.818596 | + | 0.574370i | \(0.805247\pi\) | |||||||
\(504\) | −14.3469 | − | 5.28717i | −0.639061 | − | 0.235509i | ||||
\(505\) | −19.3060 | − | 13.3929i | −0.859104 | − | 0.595975i | ||||
\(506\) | 2.36422 | − | 18.9926i | 0.105102 | − | 0.844323i | ||||
\(507\) | −6.15814 | − | 4.65991i | −0.273493 | − | 0.206954i | ||||
\(508\) | −43.1425 | − | 31.3449i | −1.91414 | − | 1.39070i | ||||
\(509\) | −1.11494 | − | 0.362267i | −0.0494190 | − | 0.0160572i | 0.284203 | − | 0.958764i | \(-0.408271\pi\) |
−0.333622 | + | 0.942707i | \(0.608271\pi\) | |||||||
\(510\) | −41.2755 | + | 30.1375i | −1.82771 | + | 1.33451i | ||||
\(511\) | 17.5905 | − | 12.7803i | 0.778159 | − | 0.565366i | ||||
\(512\) | −14.3646 | − | 19.7712i | −0.634834 | − | 0.873773i | ||||
\(513\) | −0.540379 | + | 9.24521i | −0.0238583 | + | 0.408186i | ||||
\(514\) | −18.5588 | − | 6.03013i | −0.818595 | − | 0.265978i | ||||
\(515\) | 8.70262 | − | 3.03914i | 0.383483 | − | 0.133920i | ||||
\(516\) | −31.4416 | − | 23.7921i | −1.38414 | − | 1.04739i | ||||
\(517\) | −5.95575 | − | 30.9154i | −0.261934 | − | 1.35966i | ||||
\(518\) | −29.7705 | −1.30804 | ||||||||
\(519\) | −1.29640 | + | 0.393505i | −0.0569057 | + | 0.0172730i | ||||
\(520\) | −5.38843 | − | 7.08607i | −0.236298 | − | 0.310745i | ||||
\(521\) | 6.84744 | − | 2.22487i | 0.299992 | − | 0.0974733i | −0.155154 | − | 0.987890i | \(-0.549587\pi\) |
0.455146 | + | 0.890417i | \(0.349587\pi\) | |||||||
\(522\) | −22.4533 | + | 28.5023i | −0.982755 | + | 1.24751i | ||||
\(523\) | −21.1158 | + | 15.3415i | −0.923328 | + | 0.670837i | −0.944350 | − | 0.328942i | \(-0.893308\pi\) |
0.0210218 | + | 0.999779i | \(0.493308\pi\) | |||||||
\(524\) | −9.32725 | − | 28.7063i | −0.407463 | − | 1.25404i | ||||
\(525\) | 26.6669 | + | 18.4062i | 1.16384 | + | 0.803312i | ||||
\(526\) | 12.8218 | + | 9.31561i | 0.559058 | + | 0.406180i | ||||
\(527\) | − | 8.76507i | − | 0.381813i | ||||||
\(528\) | 2.27937 | + | 13.2110i | 0.0991970 | + | 0.574935i | ||||
\(529\) | −15.8121 | −0.687482 | ||||||||
\(530\) | 25.0239 | − | 8.73887i | 1.08697 | − | 0.379592i | ||||
\(531\) | 0.00590212 | − | 0.151563i | 0.000256130 | − | 0.00657726i | ||||
\(532\) | −16.6977 | + | 5.42543i | −0.723939 | + | 0.235222i | ||||
\(533\) | −0.600990 | + | 0.436645i | −0.0260318 | + | 0.0189132i | ||||
\(534\) | −5.55522 | − | 0.108124i | −0.240398 | − | 0.00467899i | ||||
\(535\) | −4.84259 | − | 1.45743i | −0.209363 | − | 0.0630101i | ||||
\(536\) | −1.03149 | + | 3.17459i | −0.0445534 | + | 0.137121i | ||||
\(537\) | 29.1846 | − | 8.85858i | 1.25941 | − | 0.382276i | ||||
\(538\) | 55.0558 | 2.37362 | ||||||||
\(539\) | 9.84514 | − | 21.0212i | 0.424060 | − | 0.905447i | ||||
\(540\) | 25.3896 | − | 17.0644i | 1.09259 | − | 0.734335i | ||||
\(541\) | −0.856788 | + | 1.17927i | −0.0368362 | + | 0.0507007i | −0.827038 | − | 0.562146i | \(-0.809976\pi\) |
0.790202 | + | 0.612847i | \(0.209976\pi\) | |||||||
\(542\) | −4.13547 | + | 12.7277i | −0.177634 | + | 0.546700i | ||||
\(543\) | −13.1463 | + | 37.9320i | −0.564161 | + | 1.62782i | ||||
\(544\) | 38.4266 | − | 27.9186i | 1.64753 | − | 1.19700i | ||||
\(545\) | 0.682901 | + | 31.2899i | 0.0292523 | + | 1.34031i | ||||
\(546\) | −38.5181 | − | 13.3494i | −1.64842 | − | 0.571302i | ||||
\(547\) | −11.1317 | + | 34.2598i | −0.475956 | + | 1.46484i | 0.368708 | + | 0.929545i | \(0.379800\pi\) |
−0.844664 | + | 0.535297i | \(0.820200\pi\) | |||||||
\(548\) | −39.4616 | − | 28.6705i | −1.68572 | − | 1.22474i | ||||
\(549\) | 8.38318 | − | 2.36745i | 0.357786 | − | 0.101040i | ||||
\(550\) | −2.85961 | + | 35.5790i | −0.121934 | + | 1.51709i | ||||
\(551\) | 10.0149i | 0.426647i | ||||||||
\(552\) | 6.05295 | − | 1.83729i | 0.257631 | − | 0.0782004i | ||||
\(553\) | −31.3359 | − | 10.1817i | −1.33254 | − | 0.432968i | ||||
\(554\) | 27.7562 | − | 9.01853i | 1.17925 | − | 0.383160i | ||||
\(555\) | 8.38811 | − | 11.6027i | 0.356056 | − | 0.492509i | ||||
\(556\) | −12.2424 | − | 16.8503i | −0.519196 | − | 0.714611i | ||||
\(557\) | 43.7447 | − | 14.2135i | 1.85352 | − | 0.602246i | 0.857362 | − | 0.514714i | \(-0.172102\pi\) |
0.996162 | − | 0.0875319i | \(-0.0278980\pi\) | |||||||
\(558\) | −0.359235 | + | 9.22492i | −0.0152076 | + | 0.390522i | ||||
\(559\) | −20.4430 | − | 14.8527i | −0.864649 | − | 0.628204i | ||||
\(560\) | −16.0423 | − | 11.1288i | −0.677909 | − | 0.470278i | ||||
\(561\) | −34.7055 | + | 5.98795i | −1.46527 | + | 0.252811i | ||||
\(562\) | 24.9021i | 1.05043i | ||||||||
\(563\) | 10.2627 | − | 14.1254i | 0.432521 | − | 0.595314i | −0.536009 | − | 0.844213i | \(-0.680069\pi\) |
0.968530 | + | 0.248898i | \(0.0800686\pi\) | |||||||
\(564\) | 35.5105 | − | 24.7586i | 1.49526 | − | 1.04253i | ||||
\(565\) | −1.04638 | + | 3.47681i | −0.0440217 | + | 0.146271i | ||||
\(566\) | 8.94634 | + | 12.3136i | 0.376043 | + | 0.517579i | ||||
\(567\) | 12.8646 | − | 31.1192i | 0.540264 | − | 1.30688i | ||||
\(568\) | 0.350966 | + | 1.08016i | 0.0147262 | + | 0.0453226i | ||||
\(569\) | −11.3275 | + | 34.8623i | −0.474872 | + | 1.46150i | 0.371259 | + | 0.928529i | \(0.378926\pi\) |
−0.846131 | + | 0.532975i | \(0.821074\pi\) | |||||||
\(570\) | 4.55786 | − | 14.1411i | 0.190908 | − | 0.592308i | ||||
\(571\) | 35.7294i | 1.49523i | 0.664134 | + | 0.747614i | \(0.268800\pi\) | ||||
−0.664134 | + | 0.747614i | \(0.731200\pi\) | |||||||
\(572\) | −4.82769 | − | 25.0598i | −0.201856 | − | 1.04780i | ||||
\(573\) | 12.8718 | − | 17.0103i | 0.537726 | − | 0.710614i | ||||
\(574\) | 1.20319 | − | 1.65605i | 0.0502203 | − | 0.0691223i | ||||
\(575\) | −13.3924 | + | 0.584855i | −0.558500 | + | 0.0243901i | ||||
\(576\) | −29.9470 | + | 20.0250i | −1.24779 | + | 0.834376i | ||||
\(577\) | 24.0939 | + | 33.1623i | 1.00304 | + | 1.38057i | 0.923441 | + | 0.383740i | \(0.125364\pi\) |
0.0795990 | + | 0.996827i | \(0.474636\pi\) | |||||||
\(578\) | 26.0440 | + | 35.8464i | 1.08329 | + | 1.49101i | ||||
\(579\) | −10.0310 | + | 28.9433i | −0.416876 | + | 1.20284i | ||||
\(580\) | 26.3328 | − | 20.0241i | 1.09341 | − | 0.831456i | ||||
\(581\) | 2.68793 | − | 3.69962i | 0.111514 | − | 0.153486i | ||||
\(582\) | 22.6465 | + | 17.1368i | 0.938729 | + | 0.710343i | ||||
\(583\) | 18.1255 | + | 2.25628i | 0.750681 | + | 0.0934457i | ||||
\(584\) | 7.91624i | 0.327576i | ||||||||
\(585\) | 16.0556 | − | 11.2507i | 0.663819 | − | 0.465160i | ||||
\(586\) | −16.3501 | + | 50.3206i | −0.675418 | + | 2.07872i | ||||
\(587\) | −11.1939 | − | 34.4513i | −0.462022 | − | 1.42196i | −0.862689 | − | 0.505734i | \(-0.831222\pi\) |
0.400667 | − | 0.916224i | \(-0.368778\pi\) | |||||||
\(588\) | 31.9105 | + | 0.621089i | 1.31597 | + | 0.0256133i | ||||
\(589\) | 1.49775 | + | 2.06148i | 0.0617137 | + | 0.0849416i | ||||
\(590\) | −0.0701280 | + | 0.233014i | −0.00288713 | + | 0.00959304i | ||||
\(591\) | 10.7749 | + | 15.4541i | 0.443221 | + | 0.635698i | ||||
\(592\) | −5.07086 | + | 6.97944i | −0.208411 | + | 0.286853i | ||||
\(593\) | 19.0411i | 0.781923i | 0.920407 | + | 0.390962i | \(0.127857\pi\) | ||||
−0.920407 | + | 0.390962i | \(0.872143\pi\) | |||||||
\(594\) | 36.7716 | − | 4.87970i | 1.50876 | − | 0.200216i | ||||
\(595\) | 29.2355 | − | 42.1432i | 1.19854 | − | 1.72770i | ||||
\(596\) | −14.3330 | − | 10.4135i | −0.587102 | − | 0.426555i | ||||
\(597\) | 37.0689 | − | 25.8452i | 1.51713 | − | 1.05777i | ||||
\(598\) | 16.0397 | − | 5.21163i | 0.655914 | − | 0.213119i | ||||
\(599\) | −14.7038 | − | 20.2381i | −0.600783 | − | 0.826906i | 0.394997 | − | 0.918682i | \(-0.370746\pi\) |
−0.995780 | + | 0.0917761i | \(0.970746\pi\) | |||||||
\(600\) | −11.1283 | + | 3.91572i | −0.454309 | + | 0.159858i | ||||
\(601\) | 38.8018 | − | 12.6075i | 1.58276 | − | 0.514269i | 0.619993 | − | 0.784608i | \(-0.287136\pi\) |
0.962765 | + | 0.270338i | \(0.0871355\pi\) | |||||||
\(602\) | 66.2218 | + | 21.5168i | 2.69900 | + | 0.876957i | ||||
\(603\) | −6.89772 | − | 2.54198i | −0.280897 | − | 0.103517i | ||||
\(604\) | − | 14.0185i | − | 0.570403i | ||||||
\(605\) | −12.6466 | + | 21.0965i | −0.514158 | + | 0.857695i | ||||
\(606\) | 23.6387 | − | 31.2389i | 0.960256 | − | 1.26899i | ||||
\(607\) | −15.2824 | − | 11.1033i | −0.620293 | − | 0.450669i | 0.232731 | − | 0.972541i | \(-0.425234\pi\) |
−0.853024 | + | 0.521872i | \(0.825234\pi\) | |||||||
\(608\) | −4.26699 | + | 13.1325i | −0.173049 | + | 0.532591i | ||||
\(609\) | 11.9245 | − | 34.4068i | 0.483206 | − | 1.39423i | ||||
\(610\) | −13.9719 | + | 0.304937i | −0.565707 | + | 0.0123466i | ||||
\(611\) | 22.4447 | − | 16.3070i | 0.908016 | − | 0.659712i | ||||
\(612\) | −26.9170 | − | 40.2539i | −1.08806 | − | 1.62717i | ||||
\(613\) | 6.20996 | − | 19.1123i | 0.250818 | − | 0.771938i | −0.743807 | − | 0.668394i | \(-0.766982\pi\) |
0.994625 | − | 0.103544i | \(-0.0330181\pi\) | |||||||
\(614\) | 5.82569 | − | 8.01837i | 0.235106 | − | 0.323595i | ||||
\(615\) | 0.306419 | + | 0.935541i | 0.0123560 | + | 0.0377247i | ||||
\(616\) | 8.17043 | + | 14.7981i | 0.329196 | + | 0.596233i | ||||
\(617\) | −7.20230 | −0.289954 | −0.144977 | − | 0.989435i | \(-0.546311\pi\) | ||||
−0.144977 | + | 0.989435i | \(0.546311\pi\) | |||||||
\(618\) | 4.46387 | + | 14.7062i | 0.179563 | + | 0.591570i | ||||
\(619\) | 12.0091 | − | 36.9603i | 0.482688 | − | 1.48556i | −0.352615 | − | 0.935769i | \(-0.614707\pi\) |
0.835302 | − | 0.549791i | \(-0.185293\pi\) | |||||||
\(620\) | 2.42572 | − | 8.05994i | 0.0974194 | − | 0.323695i | ||||
\(621\) | 3.52450 | + | 13.4778i | 0.141433 | + | 0.540846i | ||||
\(622\) | −35.6989 | + | 25.9368i | −1.43140 | + | 1.03997i | ||||
\(623\) | 5.30334 | − | 1.72316i | 0.212474 | − | 0.0690369i | ||||
\(624\) | −9.69052 | + | 6.75642i | −0.387931 | + | 0.270473i | ||||
\(625\) | 24.9048 | − | 2.17938i | 0.996193 | − | 0.0871753i | ||||
\(626\) | −60.6855 | −2.42548 | ||||||||
\(627\) | 7.13925 | − | 7.33868i | 0.285114 | − | 0.293079i | ||||
\(628\) | 24.1297i | 0.962880i | ||||||||
\(629\) | −18.3351 | − | 13.3212i | −0.731067 | − | 0.531152i | ||||
\(630\) | −32.4965 | + | 43.1560i | −1.29469 | + | 1.71938i | ||||
\(631\) | 10.5321 | + | 32.4144i | 0.419275 | + | 1.29040i | 0.908371 | + | 0.418165i | \(0.137327\pi\) |
−0.489096 | + | 0.872230i | \(0.662673\pi\) | |||||||
\(632\) | 9.70492 | − | 7.05104i | 0.386041 | − | 0.280475i | ||||
\(633\) | 0.577373 | − | 29.6644i | 0.0229485 | − | 1.17905i | ||||
\(634\) | −23.8299 | + | 7.74279i | −0.946405 | + | 0.307506i | ||||
\(635\) | −36.0508 | + | 27.4140i | −1.43063 | + | 1.08789i | ||||
\(636\) | 7.29451 | + | 24.0317i | 0.289246 | + | 0.952921i | ||||
\(637\) | 20.4545 | 0.810437 | ||||||||
\(638\) | 39.3892 | − | 7.58820i | 1.55943 | − | 0.300420i | ||||
\(639\) | −2.40712 | + | 0.679783i | −0.0952244 | + | 0.0268918i | ||||
\(640\) | 21.8536 | − | 7.63176i | 0.863841 | − | 0.301672i | ||||
\(641\) | 10.7142 | + | 3.48126i | 0.423186 | + | 0.137501i | 0.512865 | − | 0.858469i | \(-0.328584\pi\) |
−0.0896793 | + | 0.995971i | \(0.528584\pi\) | |||||||
\(642\) | 2.76104 | − | 7.96665i | 0.108970 | − | 0.314419i | ||||
\(643\) | 3.97759 | + | 5.47468i | 0.156861 | + | 0.215900i | 0.880213 | − | 0.474579i | \(-0.157400\pi\) |
−0.723352 | + | 0.690479i | \(0.757400\pi\) | |||||||
\(644\) | −21.3666 | + | 15.5237i | −0.841961 | + | 0.611720i | ||||
\(645\) | −27.0446 | + | 19.7467i | −1.06488 | + | 0.777527i | ||||
\(646\) | −22.3675 | − | 7.26765i | −0.880038 | − | 0.285942i | ||||
\(647\) | −30.2310 | − | 21.9641i | −1.18850 | − | 0.863497i | −0.195397 | − | 0.980724i | \(-0.562599\pi\) |
−0.993105 | + | 0.117227i | \(0.962599\pi\) | |||||||
\(648\) | 6.41304 | + | 10.4488i | 0.251928 | + | 0.410468i | ||||
\(649\) | −0.114566 | + | 0.122446i | −0.00449712 | + | 0.00480644i | ||||
\(650\) | −29.4609 | + | 11.0153i | −1.15555 | + | 0.432056i | ||||
\(651\) | −2.69106 | − | 8.86570i | −0.105471 | − | 0.347474i | ||||
\(652\) | 57.9988 | + | 18.8449i | 2.27141 | + | 0.738025i | ||||
\(653\) | 1.77221 | + | 5.45432i | 0.0693521 | + | 0.213444i | 0.979726 | − | 0.200343i | \(-0.0642058\pi\) |
−0.910374 | + | 0.413787i | \(0.864206\pi\) | |||||||
\(654\) | −52.1706 | − | 1.01542i | −2.04003 | − | 0.0397062i | ||||
\(655\) | −25.6285 | + | 0.559341i | −1.00139 | + | 0.0218553i | ||||
\(656\) | −0.183306 | − | 0.564157i | −0.00715689 | − | 0.0220266i | ||||
\(657\) | −17.4208 | − | 0.678396i | −0.679650 | − | 0.0264668i | ||||
\(658\) | −44.9347 | + | 61.8473i | −1.75174 | + | 2.41106i | ||||
\(659\) | 37.5865 | 1.46416 | 0.732081 | − | 0.681217i | \(-0.238549\pi\) | ||||
0.732081 | + | 0.681217i | \(0.238549\pi\) | |||||||
\(660\) | −33.5706 | − | 4.09847i | −1.30674 | − | 0.159533i | ||||
\(661\) | −16.3807 | −0.637135 | −0.318567 | − | 0.947900i | \(-0.603202\pi\) | ||||
−0.318567 | + | 0.947900i | \(0.603202\pi\) | |||||||
\(662\) | −34.5480 | + | 47.5512i | −1.34275 | + | 1.84813i | ||||
\(663\) | −17.7492 | − | 25.4571i | −0.689322 | − | 0.988673i | ||||
\(664\) | 0.514493 | + | 1.58345i | 0.0199662 | + | 0.0614497i | ||||
\(665\) | 0.325354 | + | 14.9074i | 0.0126167 | + | 0.578085i | ||||
\(666\) | 18.7510 | + | 14.7715i | 0.726588 | + | 0.572386i | ||||
\(667\) | 4.65535 | + | 14.3277i | 0.180256 | + | 0.554771i | ||||
\(668\) | 36.9715 | + | 12.0128i | 1.43047 | + | 0.464788i | ||||
\(669\) | 22.0148 | − | 6.68228i | 0.851140 | − | 0.258352i | ||||
\(670\) | 9.69024 | + | 6.72229i | 0.374367 | + | 0.259705i | ||||
\(671\) | −8.72133 | − | 4.08458i | −0.336683 | − | 0.157683i | ||||
\(672\) | 30.2962 | − | 40.0369i | 1.16870 | − | 1.54446i | ||||
\(673\) | 4.22946 | + | 3.07288i | 0.163034 | + | 0.118451i | 0.666311 | − | 0.745674i | \(-0.267872\pi\) |
−0.503277 | + | 0.864125i | \(0.667872\pi\) | |||||||
\(674\) | −29.9952 | − | 9.74602i | −1.15537 | − | 0.375403i | ||||
\(675\) | −7.66342 | − | 24.8248i | −0.294965 | − | 0.955508i | ||||
\(676\) | −9.49701 | + | 6.89998i | −0.365270 | + | 0.265384i | ||||
\(677\) | 2.47930 | + | 3.41247i | 0.0952874 | + | 0.131152i | 0.853999 | − | 0.520275i | \(-0.174171\pi\) |
−0.758711 | + | 0.651427i | \(0.774171\pi\) | |||||||
\(678\) | −5.71978 | − | 1.98233i | −0.219667 | − | 0.0761310i | ||||
\(679\) | −27.1068 | − | 8.80752i | −1.04026 | − | 0.338002i | ||||
\(680\) | 6.15675 | + | 17.6300i | 0.236101 | + | 0.676078i | ||||
\(681\) | 2.59960 | − | 3.43542i | 0.0996170 | − | 0.131645i | ||||
\(682\) | 6.97312 | − | 7.45274i | 0.267014 | − | 0.285380i | ||||
\(683\) | 14.5043 | 0.554993 | 0.277496 | − | 0.960727i | \(-0.410495\pi\) | ||||
0.277496 | + | 0.960727i | \(0.410495\pi\) | |||||||
\(684\) | 13.2091 | + | 4.86789i | 0.505064 | + | 0.186128i | ||||
\(685\) | −32.9749 | + | 25.0750i | −1.25991 | + | 0.958066i | ||||
\(686\) | 0.00909827 | − | 0.00295621i | 0.000347374 | − | 0.000112869i | ||||
\(687\) | −21.0057 | − | 0.408845i | −0.801419 | − | 0.0155984i | ||||
\(688\) | 16.3241 | − | 11.8602i | 0.622351 | − | 0.452164i | ||||
\(689\) | 4.97370 | + | 15.3075i | 0.189483 | + | 0.583168i | ||||
\(690\) | −0.0527556 | − | 22.3497i | −0.00200837 | − | 0.850837i | ||||
\(691\) | −27.9241 | − | 20.2881i | −1.06228 | − | 0.771794i | −0.0877744 | − | 0.996140i | \(-0.527975\pi\) |
−0.974510 | + | 0.224346i | \(0.927975\pi\) | |||||||
\(692\) | 2.05943i | 0.0782878i | ||||||||
\(693\) | −33.2655 | + | 16.7120i | −1.26365 | + | 0.634837i | ||||
\(694\) | 19.5992 | 0.743975 | ||||||||
\(695\) | −16.7000 | + | 5.83199i | −0.633467 | + | 0.221220i | ||||
\(696\) | 7.58257 | + | 10.8754i | 0.287417 | + | 0.412232i | ||||
\(697\) | 1.48205 | − | 0.481547i | 0.0561366 | − | 0.0182399i | ||||
\(698\) | 16.8587 | − | 12.2486i | 0.638113 | − | 0.463616i | ||||
\(699\) | −0.189567 | + | 9.73960i | −0.00717007 | + | 0.368385i | ||||
\(700\) | 38.5467 | − | 30.6620i | 1.45693 | − | 1.15892i | ||||
\(701\) | −14.2187 | + | 43.7608i | −0.537034 | + | 1.65282i | 0.202177 | + | 0.979349i | \(0.435198\pi\) |
−0.739212 | + | 0.673473i | \(0.764802\pi\) | |||||||
\(702\) | 17.6370 | + | 27.5201i | 0.665667 | + | 1.03868i | ||||
\(703\) | 6.58856 | 0.248492 | ||||||||
\(704\) | 39.5225 | + | 4.91981i | 1.48956 | + | 0.185422i | ||||
\(705\) | −11.4436 | − | 34.9389i | −0.430991 | − | 1.31588i | ||||
\(706\) | 15.3878 | − | 21.1795i | 0.579129 | − | 0.797103i | ||||
\(707\) | −12.1492 | + | 37.3914i | −0.456918 | + | 1.40625i | ||||
\(708\) | −0.217851 | − | 0.0755018i | −0.00818735 | − | 0.00283753i | ||||
\(709\) | 36.7685 | − | 26.7139i | 1.38087 | − | 1.00326i | 0.384072 | − | 0.923303i | \(-0.374521\pi\) |
0.996798 | − | 0.0799582i | \(-0.0254787\pi\) | |||||||
\(710\) | 4.01187 | − | 0.0875589i | 0.150563 | − | 0.00328603i | ||||
\(711\) | 14.6851 | + | 21.9613i | 0.550734 | + | 0.823612i | ||||
\(712\) | −0.627369 | + | 1.93084i | −0.0235117 | + | 0.0723615i | ||||
\(713\) | 3.10101 | + | 2.25302i | 0.116134 | + | 0.0843762i | ||||
\(714\) | 68.1918 | + | 51.6012i | 2.55201 | + | 1.93113i | ||||
\(715\) | −21.5616 | − | 2.20744i | −0.806359 | − | 0.0825535i | ||||
\(716\) | − | 46.3619i | − | 1.73262i | ||||||
\(717\) | −7.19262 | − | 23.6961i | −0.268613 | − | 0.884946i | ||||
\(718\) | −23.5186 | − | 7.64167i | −0.877708 | − | 0.285185i | ||||
\(719\) | −10.0623 | + | 3.26945i | −0.375261 | + | 0.121930i | −0.490574 | − | 0.871399i | \(-0.663213\pi\) |
0.115313 | + | 0.993329i | \(0.463213\pi\) | |||||||
\(720\) | 4.58238 | + | 14.9694i | 0.170775 | + | 0.557876i | ||||
\(721\) | −9.06603 | − | 12.4783i | −0.337636 | − | 0.464717i | ||||
\(722\) | −32.3917 | + | 10.5247i | −1.20549 | + | 0.391689i | ||||
\(723\) | 12.4625 | + | 17.8746i | 0.463487 | + | 0.664765i | ||||
\(724\) | 49.3701 | + | 35.8695i | 1.83483 | + | 1.33308i | ||||
\(725\) | −9.83956 | − | 26.3163i | −0.365432 | − | 0.977363i | ||||
\(726\) | −34.2730 | − | 22.5188i | −1.27199 | − | 0.835749i | ||||
\(727\) | − | 11.7037i | − | 0.434065i | −0.976164 | − | 0.217032i | \(-0.930362\pi\) | ||
0.976164 | − | 0.217032i | \(-0.0696378\pi\) | |||||||
\(728\) | −8.75532 | + | 12.0507i | −0.324494 | + | 0.446627i | ||||
\(729\) | −23.5436 | + | 13.2173i | −0.871986 | + | 0.489531i | ||||
\(730\) | 26.7829 | + | 8.06059i | 0.991280 | + | 0.298336i | ||||
\(731\) | 31.1568 | + | 42.8836i | 1.15238 | + | 1.58611i | ||||
\(732\) | 0.257679 | − | 13.2391i | 0.00952410 | − | 0.489331i | ||||
\(733\) | −9.02911 | − | 27.7888i | −0.333498 | − | 1.02640i | −0.967457 | − | 0.253035i | \(-0.918571\pi\) |
0.633959 | − | 0.773366i | \(-0.281429\pi\) | |||||||
\(734\) | −0.385408 | + | 1.18616i | −0.0142257 | + | 0.0437821i | ||||
\(735\) | 8.31543 | − | 25.7993i | 0.306719 | − | 0.951622i | ||||
\(736\) | 20.7714i | 0.765642i | ||||||||
\(737\) | 3.92820 | + | 7.11467i | 0.144697 | + | 0.262072i | ||||
\(738\) | −1.57954 | + | 0.446069i | −0.0581436 | + | 0.0164200i | ||||
\(739\) | 7.61210 | − | 10.4772i | 0.280015 | − | 0.385408i | −0.645724 | − | 0.763571i | \(-0.723444\pi\) |
0.925739 | + | 0.378163i | \(0.123444\pi\) | |||||||
\(740\) | −13.1734 | − | 17.3238i | −0.484265 | − | 0.636834i | ||||
\(741\) | 8.52451 | + | 2.95438i | 0.313156 | + | 0.108532i | ||||
\(742\) | −26.0689 | − | 35.8807i | −0.957018 | − | 1.31722i | ||||
\(743\) | 3.62431 | + | 4.98843i | 0.132963 | + | 0.183008i | 0.870307 | − | 0.492510i | \(-0.163920\pi\) |
−0.737344 | + | 0.675517i | \(0.763920\pi\) | |||||||
\(744\) | 3.18726 | + | 1.10463i | 0.116851 | + | 0.0404975i | ||||
\(745\) | −11.9770 | + | 9.10758i | −0.438802 | + | 0.333676i | ||||
\(746\) | −23.7436 | + | 32.6802i | −0.869314 | + | 1.19651i | ||||
\(747\) | −3.52868 | + | 0.996517i | −0.129108 | + | 0.0364607i | ||||
\(748\) | −6.61305 | + | 53.1249i | −0.241797 | + | 1.94244i | ||||
\(749\) | 8.46187i | 0.309190i | ||||||||
\(750\) | 1.91681 | + | 41.6372i | 0.0699919 | + | 1.52037i | ||||
\(751\) | 6.97116 | − | 21.4550i | 0.254381 | − | 0.782905i | −0.739570 | − | 0.673080i | \(-0.764971\pi\) |
0.993951 | − | 0.109825i | \(-0.0350290\pi\) | |||||||
\(752\) | 6.84578 | + | 21.0691i | 0.249640 | + | 0.768312i | ||||
\(753\) | −0.166649 | + | 8.56213i | −0.00607303 | + | 0.312021i | ||||
\(754\) | 20.7767 | + | 28.5967i | 0.756644 | + | 1.04143i | ||||
\(755\) | −11.4006 | − | 3.43112i | −0.414909 | − | 0.124871i | ||||
\(756\) | −39.5848 | − | 32.4519i | −1.43969 | − | 1.18026i | ||||
\(757\) | −3.58874 | + | 4.93948i | −0.130435 | + | 0.179528i | −0.869239 | − | 0.494392i | \(-0.835391\pi\) |
0.738804 | + | 0.673920i | \(0.235391\pi\) | |||||||
\(758\) | − | 8.73291i | − | 0.317194i | ||||||
\(759\) | 6.80238 | − | 13.8177i | 0.246911 | − | 0.501550i | ||||
\(760\) | −4.46058 | − | 3.09438i | −0.161802 | − | 0.112245i | ||||
\(761\) | 22.7069 | + | 16.4975i | 0.823125 | + | 0.598035i | 0.917606 | − | 0.397492i | \(-0.130119\pi\) |
−0.0944811 | + | 0.995527i | \(0.530119\pi\) | |||||||
\(762\) | −43.1864 | − | 61.9409i | −1.56448 | − | 2.24388i | ||||
\(763\) | 49.8052 | − | 16.1827i | 1.80307 | − | 0.585852i | ||||
\(764\) | −19.0594 | − | 26.2330i | −0.689544 | − | 0.949077i | ||||
\(765\) | −39.3248 | + | 12.0380i | −1.42179 | + | 0.435233i | ||||
\(766\) | 57.9058 | − | 18.8147i | 2.09222 | − | 0.679803i | ||||
\(767\) | −0.140531 | − | 0.0456612i | −0.00507427 | − | 0.00164873i | ||||
\(768\) | −0.872846 | − | 2.87559i | −0.0314961 | − | 0.103764i | ||||
\(769\) | 23.0642i | 0.831717i | 0.909429 | + | 0.415859i | \(0.136519\pi\) | ||||
−0.909429 | + | 0.415859i | \(0.863481\pi\) | |||||||
\(770\) | 58.3856 | − | 12.5749i | 2.10407 | − | 0.453169i | ||||
\(771\) | −12.5219 | − | 9.47540i | −0.450965 | − | 0.341248i | ||||
\(772\) | 37.6710 | + | 27.3696i | 1.35581 | + | 0.985053i | ||||
\(773\) | 9.17255 | − | 28.2302i | 0.329914 | − | 1.01537i | −0.639260 | − | 0.768991i | \(-0.720759\pi\) |
0.969173 | − | 0.246379i | \(-0.0792409\pi\) | |||||||
\(774\) | −31.0338 | − | 46.4104i | −1.11549 | − | 1.66819i | ||||
\(775\) | −5.96107 | − | 3.94546i | −0.214128 | − | 0.141725i | ||||
\(776\) | 8.39512 | − | 6.09941i | 0.301367 | − | 0.218956i | ||||
\(777\) | −22.6355 | − | 7.84489i | −0.812043 | − | 0.281434i | ||||
\(778\) | −26.1070 | + | 80.3491i | −0.935982 | + | 2.88066i | ||||
\(779\) | −0.266281 | + | 0.366504i | −0.00954050 | + | 0.0131314i | ||||
\(780\) | −9.27609 | − | 28.3212i | −0.332137 | − | 1.01406i | ||||
\(781\) | 2.50422 | + | 1.17284i | 0.0896080 | + | 0.0419673i | ||||
\(782\) | −35.3783 | −1.26513 | ||||||||
\(783\) | −24.5827 | + | 15.7545i | −0.878514 | + | 0.563020i | ||||
\(784\) | −5.04725 | + | 15.5338i | −0.180259 | + | 0.554780i | ||||
\(785\) | 19.6236 | + | 5.90593i | 0.700396 | + | 0.210792i | ||||
\(786\) | 0.831699 | − | 42.7312i | 0.0296657 | − | 1.52417i | ||||
\(787\) | −2.48490 | + | 1.80539i | −0.0885772 | + | 0.0643551i | −0.631192 | − | 0.775626i | \(-0.717434\pi\) |
0.542615 | + | 0.839981i | \(0.317434\pi\) | |||||||
\(788\) | 27.2362 | − | 8.84958i | 0.970250 | − | 0.315253i | ||||
\(789\) | 7.29409 | + | 10.4617i | 0.259676 | + | 0.372446i | ||||
\(790\) | −13.9738 | − | 40.0141i | −0.497165 | − | 1.42364i | ||||
\(791\) | 6.07533 | 0.216014 | ||||||||
\(792\) | 2.19637 | − | 13.3747i | 0.0780447 | − | 0.475248i | ||||
\(793\) | − | 8.48622i | − | 0.301354i | ||||||
\(794\) | −9.98084 | − | 7.25151i | −0.354207 | − | 0.257346i | ||||
\(795\) | 21.3293 | − | 0.0503471i | 0.756473 | − | 0.00178563i | ||||
\(796\) | −21.2270 | − | 65.3299i | −0.752371 | − | 2.31556i | ||||
\(797\) | 37.7811 | − | 27.4496i | 1.33827 | − | 0.972313i | 0.338769 | − | 0.940870i | \(-0.389990\pi\) |
0.999506 | − | 0.0314434i | \(-0.0100104\pi\) | |||||||
\(798\) | −24.8556 | − | 0.483778i | −0.879880 | − | 0.0171256i | ||||
\(799\) | −55.3489 | + | 17.9839i | −1.95810 | + | 0.636226i | ||||
\(800\) | −1.69009 | − | 38.7008i | −0.0597538 | − | 1.36828i | ||||
\(801\) | −4.19533 | − | 1.54608i | −0.148235 | − | 0.0546281i | ||||
\(802\) | −54.7618 | −1.93371 | ||||||||
\(803\) | 14.0741 | + | 13.1684i | 0.496665 | + | 0.464702i | ||||
\(804\) | −6.74289 | + | 8.91084i | −0.237803 | + | 0.314261i | ||||
\(805\) | 7.39511 | + | 21.1760i | 0.260643 | + | 0.746356i | ||||
\(806\) | 8.55344 | + | 2.77918i | 0.301282 | + | 0.0978925i | ||||
\(807\) | 41.8608 | + | 14.5079i | 1.47357 | + | 0.510702i | ||||
\(808\) | −8.41360 | − | 11.5803i | −0.295989 | − | 0.407394i | ||||
\(809\) | −18.7950 | + | 13.6554i | −0.660798 | + | 0.480098i | −0.866932 | − | 0.498426i | \(-0.833912\pi\) |
0.206134 | + | 0.978524i | \(0.433912\pi\) | |||||||
\(810\) | 41.8813 | − | 11.0578i | 1.47156 | − | 0.388531i | ||||
\(811\) | 28.9165 | + | 9.39553i | 1.01539 | + | 0.329922i | 0.769000 | − | 0.639248i | \(-0.220754\pi\) |
0.246394 | + | 0.969170i | \(0.420754\pi\) | |||||||
\(812\) | −44.7819 | − | 32.5359i | −1.57154 | − | 1.14179i | ||||
\(813\) | −6.49824 | + | 8.58753i | −0.227903 | + | 0.301178i | ||||
\(814\) | −4.99211 | − | 25.9133i | −0.174974 | − | 0.908262i | ||||
\(815\) | 29.5214 | − | 42.5553i | 1.03409 | − | 1.49065i | ||||
\(816\) | 23.7127 | − | 7.19768i | 0.830112 | − | 0.251969i | ||||
\(817\) | −14.6557 | − | 4.76191i | −0.512737 | − | 0.166598i | ||||
\(818\) | 13.2611 | + | 40.8134i | 0.463662 | + | 1.42701i | ||||
\(819\) | −25.7689 | − | 20.3000i | −0.900437 | − | 0.709340i | ||||
\(820\) | 1.49609 | − | 0.0326521i | 0.0522457 | − | 0.00114026i | ||||
\(821\) | −14.0019 | − | 43.0935i | −0.488670 | − | 1.50397i | −0.826594 | − | 0.562799i | \(-0.809725\pi\) |
0.337924 | − | 0.941174i | \(-0.390275\pi\) | |||||||
\(822\) | −39.5017 | − | 56.6560i | −1.37778 | − | 1.97611i | ||||
\(823\) | −16.0956 | + | 22.1537i | −0.561057 | + | 0.772229i | −0.991460 | − | 0.130408i | \(-0.958371\pi\) |
0.430403 | + | 0.902637i | \(0.358371\pi\) | |||||||
\(824\) | 5.61560 | 0.195629 | ||||||||
\(825\) | −11.5498 | + | 26.2983i | −0.402111 | + | 0.915591i | ||||
\(826\) | 0.407166 | 0.0141671 | ||||||||
\(827\) | −0.625494 | + | 0.860919i | −0.0217506 | + | 0.0299371i | −0.819754 | − | 0.572716i | \(-0.805890\pi\) |
0.798003 | + | 0.602653i | \(0.205890\pi\) | |||||||
\(828\) | 21.1604 | + | 0.824023i | 0.735374 | + | 0.0286368i | ||||
\(829\) | −6.99269 | − | 21.5213i | −0.242866 | − | 0.747466i | −0.995980 | − | 0.0895753i | \(-0.971449\pi\) |
0.753114 | − | 0.657890i | \(-0.228551\pi\) | |||||||
\(830\) | 5.88113 | − | 0.128355i | 0.204137 | − | 0.00445528i | ||||
\(831\) | 23.4804 | + | 0.457012i | 0.814528 | + | 0.0158536i | ||||
\(832\) | 10.8451 | + | 33.3778i | 0.375986 | + | 1.15717i | ||||
\(833\) | −40.8076 | − | 13.2592i | −1.41390 | − | 0.459404i | ||||
\(834\) | −8.56600 | − | 28.2207i | −0.296616 | − | 0.977202i | ||||
\(835\) | 18.8185 | − | 27.1271i | 0.651241 | − | 0.938770i | ||||
\(836\) | −7.52249 | − | 13.6246i | −0.260171 | − | 0.471216i | ||||
\(837\) | −2.70402 | + | 6.91935i | −0.0934646 | + | 0.239168i | ||||
\(838\) | 33.9150 | + | 24.6407i | 1.17157 | + | 0.851198i | ||||
\(839\) | −11.4740 | − | 3.72811i | −0.396125 | − | 0.128709i | 0.104179 | − | 0.994559i | \(-0.466778\pi\) |
−0.500304 | + | 0.865850i | \(0.666778\pi\) | |||||||
\(840\) | 11.6402 | + | 15.9421i | 0.401625 | + | 0.550055i | ||||
\(841\) | −2.08289 | + | 1.51331i | −0.0718238 | + | 0.0521830i | ||||
\(842\) | −5.36495 | − | 7.38422i | −0.184888 | − | 0.254477i | ||||
\(843\) | −6.56202 | + | 18.9339i | −0.226008 | + | 0.652119i | ||||
\(844\) | −42.8937 | − | 13.9370i | −1.47646 | − | 0.479732i | ||||
\(845\) | 3.28698 | + | 9.41231i | 0.113075 | + | 0.323793i | ||||
\(846\) | 58.9897 | − | 16.6590i | 2.02811 | − | 0.572747i | ||||
\(847\) | 39.9005 | + | 10.0901i | 1.37100 | + | 0.346699i | ||||
\(848\) | −12.8523 | −0.441350 | ||||||||
\(849\) | 3.55742 | + | 11.7199i | 0.122090 | + | 0.402226i | ||||
\(850\) | 65.9162 | − | 2.87861i | 2.26091 | − | 0.0987355i | ||||
\(851\) | 9.42588 | − | 3.06265i | 0.323115 | − | 0.104986i | ||||
\(852\) | −0.0739894 | + | 3.80144i | −0.00253483 | + | 0.130235i | ||||
\(853\) | −2.31993 | + | 1.68553i | −0.0794328 | + | 0.0577113i | −0.626793 | − | 0.779186i | \(-0.715633\pi\) |
0.547360 | + | 0.836897i | \(0.315633\pi\) | |||||||
\(854\) | 7.22609 | + | 22.2396i | 0.247272 | + | 0.761024i | ||||
\(855\) | 7.19187 | − | 9.55094i | 0.245957 | − | 0.326635i | ||||
\(856\) | −2.49242 | − | 1.81085i | −0.0851893 | − | 0.0618937i | ||||
\(857\) | − | 35.7793i | − | 1.22220i | −0.791554 | − | 0.611099i | \(-0.790728\pi\) | ||
0.791554 | − | 0.611099i | \(-0.209272\pi\) | |||||||
\(858\) | 5.16085 | − | 35.7661i | 0.176188 | − | 1.22104i | ||||
\(859\) | −26.8935 | −0.917593 | −0.458797 | − | 0.888541i | \(-0.651719\pi\) | ||||
−0.458797 | + | 0.888541i | \(0.651719\pi\) | |||||||
\(860\) | 16.7823 | + | 48.0564i | 0.572272 | + | 1.63871i | ||||
\(861\) | 1.35122 | − | 0.942096i | 0.0460494 | − | 0.0321065i | ||||
\(862\) | −53.1108 | + | 17.2568i | −1.80896 | + | 0.587767i | ||||
\(863\) | −22.2719 | + | 16.1815i | −0.758144 | + | 0.550824i | −0.898340 | − | 0.439300i | \(-0.855227\pi\) |
0.140197 | + | 0.990124i | \(0.455227\pi\) | |||||||
\(864\) | −38.9477 | + | 10.1850i | −1.32503 | + | 0.346500i | ||||
\(865\) | 1.67484 | + | 0.504061i | 0.0569463 | + | 0.0171386i | ||||
\(866\) | −1.49934 | + | 4.61450i | −0.0509497 | + | 0.156807i | ||||
\(867\) | 10.3561 | + | 34.1181i | 0.351712 | + | 1.15871i | ||||
\(868\) | −14.0838 | −0.478036 | ||||||||
\(869\) | 3.60788 | − | 28.9833i | 0.122389 | − | 0.983192i | ||||
\(870\) | 44.5155 | − | 14.5802i | 1.50922 | − | 0.494316i | ||||
\(871\) | −4.20940 | + | 5.79375i | −0.142630 | + | 0.196314i | ||||
\(872\) | −5.89180 | + | 18.1331i | −0.199522 | + | 0.614065i | ||||
\(873\) | 12.7032 | + | 18.9973i | 0.429937 | + | 0.642962i | ||||
\(874\) | 8.32070 | − | 6.04534i | 0.281452 | − | 0.204487i | ||||
\(875\) | −15.5014 | − | 38.8530i | −0.524044 | − | 1.31347i | ||||
\(876\) | −8.67826 | + | 25.0401i | −0.293211 | + | 0.846025i | ||||
\(877\) | −1.44357 | + | 4.44286i | −0.0487460 | + | 0.150025i | −0.972467 | − | 0.233042i | \(-0.925132\pi\) |
0.923721 | + | 0.383067i | \(0.125132\pi\) | |||||||
\(878\) | 11.0562 | + | 8.03282i | 0.373130 | + | 0.271094i | ||||
\(879\) | −25.6917 | + | 33.9519i | −0.866558 | + | 1.14517i | ||||
\(880\) | 6.99685 | − | 15.8299i | 0.235864 | − | 0.533627i | ||||
\(881\) | − | 0.351265i | − | 0.0118344i | −0.999982 | − | 0.00591720i | \(-0.998116\pi\) | ||
0.999982 | − | 0.00591720i | \(-0.00188352\pi\) | |||||||
\(882\) | 42.4051 | + | 15.6273i | 1.42785 | + | 0.526199i | ||||
\(883\) | −1.22742 | − | 0.398811i | −0.0413058 | − | 0.0134211i | 0.288291 | − | 0.957543i | \(-0.406913\pi\) |
−0.329597 | + | 0.944122i | \(0.606913\pi\) | |||||||
\(884\) | −44.8654 | + | 14.5777i | −1.50899 | + | 0.490300i | ||||
\(885\) | −0.114723 | + | 0.158689i | −0.00385637 | + | 0.00533427i | ||||
\(886\) | −10.3338 | − | 14.2233i | −0.347171 | − | 0.477841i | ||||
\(887\) | 8.11955 | − | 2.63820i | 0.272628 | − | 0.0885822i | −0.169512 | − | 0.985528i | \(-0.554219\pi\) |
0.442140 | + | 0.896946i | \(0.354219\pi\) | |||||||
\(888\) | 7.15472 | − | 4.98841i | 0.240097 | − | 0.167400i | ||||
\(889\) | 61.3085 | + | 44.5432i | 2.05622 | + | 1.49393i | ||||
\(890\) | 5.89379 | + | 4.08862i | 0.197560 | + | 0.137051i | ||||
\(891\) | 29.2446 | + | 5.97959i | 0.979730 | + | 0.200324i | ||||
\(892\) | − | 34.9721i | − | 1.17095i | ||||||
\(893\) | 9.94458 | − | 13.6875i | 0.332783 | − | 0.458036i | ||||
\(894\) | −14.3476 | − | 20.5782i | −0.479854 | − | 0.688240i | ||||
\(895\) | −37.7040 | − | 11.3474i | −1.26031 | − | 0.379302i | ||||
\(896\) | −22.7662 | − | 31.3350i | −0.760566 | − | 1.04683i | ||||
\(897\) | 13.5689 | + | 0.264098i | 0.453052 | + | 0.00881797i | ||||
\(898\) | −18.3388 | − | 56.4412i | −0.611975 | − | 1.88347i | ||||
\(899\) | −2.48254 | + | 7.64047i | −0.0827973 | + | 0.254824i | ||||
\(900\) | −39.4927 | + | 0.186443i | −1.31642 | + | 0.00621478i | ||||
\(901\) | − | 33.7632i | − | 1.12481i | ||||||
\(902\) | 1.64325 | + | 0.769606i | 0.0547142 | + | 0.0256251i | ||||
\(903\) | 44.6807 | + | 33.8102i | 1.48688 | + | 1.12513i | ||||
\(904\) | −1.30013 | + | 1.78947i | −0.0432417 | + | 0.0595170i | ||||
\(905\) | 41.2547 | − | 31.3712i | 1.37135 | − | 1.04281i | ||||
\(906\) | 6.50013 | − | 18.7553i | 0.215952 | − | 0.623104i | ||||
\(907\) | −27.1646 | − | 37.3889i | −0.901986 | − | 1.24148i | −0.969830 | − | 0.243782i | \(-0.921612\pi\) |
0.0678437 | − | 0.997696i | \(-0.478388\pi\) | |||||||
\(908\) | −3.84926 | − | 5.29805i | −0.127742 | − | 0.175822i | ||||
\(909\) | 26.2051 | − | 17.5229i | 0.869169 | − | 0.581198i | ||||
\(910\) | 31.8559 | + | 41.8922i | 1.05601 | + | 1.38871i | ||||
\(911\) | −9.37828 | + | 12.9081i | −0.310716 | + | 0.427664i | −0.935604 | − | 0.353050i | \(-0.885145\pi\) |
0.624888 | + | 0.780714i | \(0.285145\pi\) | |||||||
\(912\) | −4.34713 | + | 5.74480i | −0.143948 | + | 0.190229i | ||||
\(913\) | 3.67102 | + | 1.71930i | 0.121493 | + | 0.0569005i | ||||
\(914\) | 34.7595i | 1.14974i | ||||||||
\(915\) | −10.7037 | − | 3.44993i | −0.353853 | − | 0.114051i | ||||
\(916\) | −9.86897 | + | 30.3736i | −0.326080 | + | 1.00357i | ||||
\(917\) | 13.2547 | + | 40.7937i | 0.437708 | + | 1.34713i | ||||
\(918\) | −17.3473 | − | 66.3367i | −0.572546 | − | 2.18944i | ||||
\(919\) | 12.0626 | + | 16.6027i | 0.397908 | + | 0.547674i | 0.960218 | − | 0.279253i | \(-0.0900869\pi\) |
−0.562309 | + | 0.826927i | \(0.690087\pi\) | |||||||
\(920\) | −7.81990 | − | 2.35348i | −0.257815 | − | 0.0775920i | ||||
\(921\) | 6.54240 | − | 4.56149i | 0.215580 | − | 0.150306i | ||||
\(922\) | 40.3928 | − | 55.5959i | 1.33027 | − | 1.83095i | ||||
\(923\) | 2.43671i | 0.0802053i | ||||||||
\(924\) | 9.62151 | + | 55.7652i | 0.316524 | + | 1.83454i | ||||
\(925\) | −17.3129 | + | 6.47323i | −0.569246 | + | 0.212839i | ||||
\(926\) | 65.0369 | + | 47.2520i | 2.13724 | + | 1.55280i | ||||
\(927\) | −0.481239 | + | 12.3579i | −0.0158060 | + | 0.405887i | ||||
\(928\) | −41.4037 | + | 13.4529i | −1.35914 | + | 0.441612i | ||||
\(929\) | −23.2015 | − | 31.9342i | −0.761218 | − | 1.04773i | −0.997112 | − | 0.0759474i | \(-0.975802\pi\) |
0.235894 | − | 0.971779i | \(-0.424198\pi\) | |||||||
\(930\) | 6.98265 | − | 9.65865i | 0.228970 | − | 0.316720i | ||||
\(931\) | 11.8633 | − | 3.85463i | 0.388805 | − | 0.126330i | ||||
\(932\) | 14.0831 | + | 4.57589i | 0.461308 | + | 0.149888i | ||||
\(933\) | −33.9777 | + | 10.3135i | −1.11238 | + | 0.337648i | ||||
\(934\) | 54.1041i | 1.77034i | ||||||||
\(935\) | 41.5855 | + | 18.3808i | 1.35999 | + | 0.601117i | ||||
\(936\) | 11.4939 | − | 3.24593i | 0.375690 | − | 0.106096i | ||||
\(937\) | 41.5896 | + | 30.2166i | 1.35867 | + | 0.987133i | 0.998528 | + | 0.0542367i | \(0.0172725\pi\) |
0.360144 | + | 0.932897i | \(0.382727\pi\) | |||||||
\(938\) | 6.09805 | − | 18.7679i | 0.199108 | − | 0.612792i | ||||
\(939\) | −46.1412 | − | 15.9914i | −1.50576 | − | 0.521859i | ||||
\(940\) | −55.8732 | + | 1.21943i | −1.82238 | + | 0.0397735i | ||||
\(941\) | 9.79828 | − | 7.11887i | 0.319415 | − | 0.232068i | −0.416511 | − | 0.909131i | \(-0.636747\pi\) |
0.735926 | + | 0.677062i | \(0.236747\pi\) | |||||||
\(942\) | −11.1886 | + | 32.2832i | −0.364543 | + | 1.05184i | ||||
\(943\) | −0.210586 | + | 0.648116i | −0.00685762 | + | 0.0211056i | ||||
\(944\) | 0.0693533 | − | 0.0954567i | 0.00225726 | − | 0.00310685i | ||||
\(945\) | −36.0803 | + | 24.2497i | −1.17369 | + | 0.788843i | ||||
\(946\) | −7.62448 | + | 61.2500i | −0.247893 | + | 1.99141i | ||||
\(947\) | 23.6412 | 0.768235 | 0.384118 | − | 0.923284i | \(-0.374506\pi\) | ||||
0.384118 | + | 0.923284i | \(0.374506\pi\) | |||||||
\(948\) | 38.4276 | − | 11.6642i | 1.24807 | − | 0.378835i | ||||
\(949\) | −5.24834 | + | 16.1527i | −0.170368 | + | 0.524340i | ||||
\(950\) | −15.0111 | + | 11.9406i | −0.487024 | + | 0.387404i | ||||
\(951\) | −20.1590 | − | 0.392364i | −0.653699 | − | 0.0127233i | ||||
\(952\) | 25.2788 | − | 18.3662i | 0.819292 | − | 0.595251i | ||||
\(953\) | −1.48786 | + | 0.483434i | −0.0481964 | + | 0.0156600i | −0.333016 | − | 0.942921i | \(-0.608066\pi\) |
0.284820 | + | 0.958581i | \(0.408066\pi\) | |||||||
\(954\) | −1.38378 | + | 35.5345i | −0.0448014 | + | 1.15047i | ||||
\(955\) | −25.9990 | + | 9.07941i | −0.841309 | + | 0.293803i | ||||
\(956\) | −37.6430 | −1.21746 | ||||||||
\(957\) | 31.9485 | + | 4.60999i | 1.03275 | + | 0.149020i | ||||
\(958\) | − | 26.7801i | − | 0.865225i | ||||||
\(959\) | 56.0776 | + | 40.7428i | 1.81084 | + | 1.31565i | ||||
\(960\) | 46.5084 | − | 0.109782i | 1.50105 | − | 0.00354318i | ||||
\(961\) | −8.94788 | − | 27.5388i | −0.288641 | − | 0.888347i | ||||
\(962\) | 18.8132 | − | 13.6686i | 0.606561 | − | 0.440692i | ||||
\(963\) | 4.19862 | − | 5.32974i | 0.135299 | − | 0.171749i | ||||
\(964\) | 31.5021 | − | 10.2356i | 1.01461 | − | 0.329668i | ||||
\(965\) | 31.4787 | − | 23.9372i | 1.01334 | − | 0.770566i | ||||
\(966\) | −35.7845 | + | 10.8619i | −1.15135 | + | 0.349476i | ||||
\(967\) | −13.4682 | −0.433109 | −0.216555 | − | 0.976270i | \(-0.569482\pi\) | ||||
−0.216555 | + | 0.976270i | \(0.569482\pi\) | |||||||
\(968\) | −11.5108 | + | 9.59330i | −0.369970 | + | 0.308340i | ||||
\(969\) | −15.0917 | − | 11.4200i | −0.484814 | − | 0.366862i | ||||
\(970\) | −12.0878 | − | 34.6137i | −0.388117 | − | 1.11138i | ||||
\(971\) | −23.4682 | − | 7.62527i | −0.753129 | − | 0.244707i | −0.0928021 | − | 0.995685i | \(-0.529582\pi\) |
−0.660327 | + | 0.750978i | \(0.729582\pi\) | |||||||
\(972\) | 8.83063 | + | 40.0812i | 0.283243 | + | 1.28561i | ||||
\(973\) | 17.3974 | + | 23.9454i | 0.557734 | + | 0.767655i | ||||
\(974\) | 52.1219 | − | 37.8688i | 1.67009 | − | 1.21339i | ||||
\(975\) | −25.3028 | + | 0.611990i | −0.810337 | + | 0.0195994i | ||||
\(976\) | 6.44473 | + | 2.09402i | 0.206291 | + | 0.0670279i | ||||
\(977\) | −16.9336 | − | 12.3030i | −0.541753 | − | 0.393607i | 0.282983 | − | 0.959125i | \(-0.408676\pi\) |
−0.824736 | + | 0.565518i | \(0.808676\pi\) | |||||||
\(978\) | 68.8586 | + | 52.1058i | 2.20186 | + | 1.66616i | ||||
\(979\) | 2.38920 | + | 4.32728i | 0.0763593 | + | 0.138300i | ||||
\(980\) | −33.8553 | − | 23.4860i | −1.08147 | − | 0.750233i | ||||
\(981\) | −39.3995 | − | 14.5197i | −1.25793 | − | 0.463578i | ||||
\(982\) | −31.9176 | − | 10.3706i | −1.01853 | − | 0.330940i | ||||
\(983\) | −8.85080 | − | 27.2400i | −0.282297 | − | 0.868820i | −0.987196 | − | 0.159512i | \(-0.949008\pi\) |
0.704899 | − | 0.709307i | \(-0.250992\pi\) | |||||||
\(984\) | −0.0116705 | + | 0.599608i | −0.000372041 | + | 0.0191148i | ||||
\(985\) | −0.530696 | − | 24.3160i | −0.0169094 | − | 0.774772i | ||||
\(986\) | −22.9133 | − | 70.5198i | −0.729707 | − | 2.24581i | ||||
\(987\) | −50.4629 | + | 35.1837i | −1.60625 | + | 1.11991i | ||||
\(988\) | 8.06100 | − | 11.0950i | 0.256455 | − | 0.352980i | ||||
\(989\) | −23.1806 | −0.737100 | ||||||||
\(990\) | −43.0139 | − | 21.0495i | −1.36707 | − | 0.668997i | ||||
\(991\) | 51.7038 | 1.64243 | 0.821213 | − | 0.570622i | \(-0.193298\pi\) | ||||
0.821213 | + | 0.570622i | \(0.193298\pi\) | |||||||
\(992\) | −6.51069 | + | 8.96120i | −0.206715 | + | 0.284518i | ||||
\(993\) | −38.7984 | + | 27.0510i | −1.23123 | + | 0.858437i | ||||
\(994\) | −2.07488 | − | 6.38582i | −0.0658112 | − | 0.202546i | ||||
\(995\) | −58.3253 | + | 1.27295i | −1.84904 | + | 0.0403552i | ||||
\(996\) | −0.108463 | + | 5.57266i | −0.00343680 | + | 0.176576i | ||||
\(997\) | −2.41532 | − | 7.43359i | −0.0764939 | − | 0.235424i | 0.905497 | − | 0.424353i | \(-0.139498\pi\) |
−0.981991 | + | 0.188929i | \(0.939498\pi\) | |||||||
\(998\) | 28.9862 | + | 9.41818i | 0.917542 | + | 0.298127i | ||||
\(999\) | 10.3645 | + | 16.1724i | 0.327920 | + | 0.511673i |
(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 | 165.2.r.a.29.18 | yes | 80 | |
3.2 | odd | 2 | inner | 165.2.r.a.29.4 | yes | 80 | |
5.2 | odd | 4 | 825.2.bi.h.326.18 | 80 | |||
5.3 | odd | 4 | 825.2.bi.h.326.3 | 80 | |||
5.4 | even | 2 | inner | 165.2.r.a.29.3 | ✓ | 80 | |
11.8 | odd | 10 | inner | 165.2.r.a.74.17 | yes | 80 | |
15.2 | even | 4 | 825.2.bi.h.326.4 | 80 | |||
15.8 | even | 4 | 825.2.bi.h.326.17 | 80 | |||
15.14 | odd | 2 | inner | 165.2.r.a.29.17 | yes | 80 | |
33.8 | even | 10 | inner | 165.2.r.a.74.3 | yes | 80 | |
55.8 | even | 20 | 825.2.bi.h.701.17 | 80 | |||
55.19 | odd | 10 | inner | 165.2.r.a.74.4 | yes | 80 | |
55.52 | even | 20 | 825.2.bi.h.701.4 | 80 | |||
165.8 | odd | 20 | 825.2.bi.h.701.3 | 80 | |||
165.74 | even | 10 | inner | 165.2.r.a.74.18 | yes | 80 | |
165.107 | odd | 20 | 825.2.bi.h.701.18 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.r.a.29.3 | ✓ | 80 | 5.4 | even | 2 | inner | |
165.2.r.a.29.4 | yes | 80 | 3.2 | odd | 2 | inner | |
165.2.r.a.29.17 | yes | 80 | 15.14 | odd | 2 | inner | |
165.2.r.a.29.18 | yes | 80 | 1.1 | even | 1 | trivial | |
165.2.r.a.74.3 | yes | 80 | 33.8 | even | 10 | inner | |
165.2.r.a.74.4 | yes | 80 | 55.19 | odd | 10 | inner | |
165.2.r.a.74.17 | yes | 80 | 11.8 | odd | 10 | inner | |
165.2.r.a.74.18 | yes | 80 | 165.74 | even | 10 | inner | |
825.2.bi.h.326.3 | 80 | 5.3 | odd | 4 | |||
825.2.bi.h.326.4 | 80 | 15.2 | even | 4 | |||
825.2.bi.h.326.17 | 80 | 15.8 | even | 4 | |||
825.2.bi.h.326.18 | 80 | 5.2 | odd | 4 | |||
825.2.bi.h.701.3 | 80 | 165.8 | odd | 20 | |||
825.2.bi.h.701.4 | 80 | 55.52 | even | 20 | |||
825.2.bi.h.701.17 | 80 | 55.8 | even | 20 | |||
825.2.bi.h.701.18 | 80 | 165.107 | odd | 20 |