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 | 74.4 | ||
Character | \(\chi\) | \(=\) | 165.74 |
Dual form | 165.2.r.a.29.4 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(-1\) | \(-1\) |
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 | −0.972159 | − | 0.234324i | \(-0.924712\pi\) |
0.0775584 | − | 0.996988i | \(-0.475288\pi\) | |||||||
\(3\) | 0.567188 | − | 1.63655i | 0.327466 | − | 0.944863i | ||||
\(4\) | −0.813603 | + | 2.50401i | −0.406802 | + | 1.25201i | ||||
\(5\) | 2.23554 | + | 0.0487905i | 0.999762 | + | 0.0218198i | ||||
\(6\) | −3.56737 | + | 1.08283i | −1.45637 | + | 0.442062i | ||||
\(7\) | 1.15619 | − | 3.55838i | 0.436997 | − | 1.34494i | −0.454028 | − | 0.890987i | \(-0.650014\pi\) |
0.891026 | − | 0.453953i | \(-0.149986\pi\) | |||||||
\(8\) | 1.29554 | − | 0.420945i | 0.458041 | − | 0.148827i | ||||
\(9\) | −2.35660 | − | 1.85646i | −0.785532 | − | 0.618821i | ||||
\(10\) | −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 | −0.865231 | − | 0.501373i | \(-0.832828\pi\) |
0.209463 | + | 0.977817i | \(0.432828\pi\) | |||||||
\(14\) | −7.65909 | + | 2.48859i | −2.04698 | + | 0.665104i | ||||
\(15\) | 1.34782 | − | 3.63089i | 0.348005 | − | 0.937493i | ||||
\(16\) | 1.88802 | + | 1.37173i | 0.472004 | + | 0.342931i | ||||
\(17\) | −3.60354 | + | 4.95985i | −0.873987 | + | 1.20294i | 0.104064 | + | 0.994571i | \(0.466815\pi\) |
−0.978050 | + | 0.208369i | \(0.933185\pi\) | |||||||
\(18\) | −0.251266 | + | 6.45234i | −0.0592239 | + | 1.52083i | ||||
\(19\) | −1.69505 | + | 0.550755i | −0.388871 | + | 0.126352i | −0.496926 | − | 0.867793i | \(-0.665538\pi\) |
0.108055 | + | 0.994145i | \(0.465538\pi\) | |||||||
\(20\) | −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 | \(-0.409826\pi\) | ||||
0.279516 | + | 0.960141i | \(0.409826\pi\) | |||||||
\(24\) | 0.0459138 | − | 2.35897i | 0.00937211 | − | 0.481522i | ||||
\(25\) | 4.99524 | + | 0.218146i | 0.999048 | + | 0.0436292i | ||||
\(26\) | 5.98268 | + | 1.94389i | 1.17330 | + | 0.381229i | ||||
\(27\) | −4.37483 | + | 2.80373i | −0.841936 | + | 0.539578i | ||||
\(28\) | 7.96955 | + | 5.79021i | 1.50610 | + | 1.09425i | ||||
\(29\) | 1.73641 | − | 5.34411i | 0.322442 | − | 0.992376i | −0.650139 | − | 0.759815i | \(-0.725289\pi\) |
0.972582 | − | 0.232561i | \(-0.0747105\pi\) | |||||||
\(30\) | −8.02781 | + | 2.24664i | −1.46567 | + | 0.410179i | ||||
\(31\) | −1.15665 | + | 0.840357i | −0.207741 | + | 0.150933i | −0.686791 | − | 0.726855i | \(-0.740981\pi\) |
0.479050 | + | 0.877788i | \(0.340981\pi\) | |||||||
\(32\) | − | 7.74754i | − | 1.36958i | ||||||
\(33\) | 4.27034 | − | 3.84243i | 0.743370 | − | 0.668880i | ||||
\(34\) | 13.1958 | 2.26306 | ||||||||
\(35\) | 2.75831 | − | 7.89847i | 0.466240 | − | 1.33508i | ||||
\(36\) | 6.56594 | − | 4.39053i | 1.09432 | − | 0.731754i | ||||
\(37\) | −3.51577 | − | 1.14234i | −0.577990 | − | 0.187800i | 0.00541019 | − | 0.999985i | \(-0.498278\pi\) |
−0.583400 | + | 0.812185i | \(0.698278\pi\) | |||||||
\(38\) | 3.10355 | + | 2.25486i | 0.503462 | + | 0.365787i | ||||
\(39\) | 1.47027 | + | 4.84381i | 0.235432 | + | 0.775630i | ||||
\(40\) | 2.91676 | − | 0.877829i | 0.461180 | − | 0.138797i | ||||
\(41\) | −0.0785467 | − | 0.241742i | −0.0122669 | − | 0.0377537i | 0.944736 | − | 0.327833i | \(-0.106318\pi\) |
−0.957003 | + | 0.290079i | \(0.906318\pi\) | |||||||
\(42\) | −0.271438 | + | 13.9460i | −0.0418838 | + | 2.15191i | ||||
\(43\) | 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 | ||||
\(45\) | −5.17768 | − | 4.26517i | −0.771843 | − | 0.635814i | ||||
\(46\) | −3.39192 | − | 4.66857i | −0.500111 | − | 0.688343i | ||||
\(47\) | 2.93342 | + | 9.02814i | 0.427883 | + | 1.31689i | 0.900206 | + | 0.435464i | \(0.143416\pi\) |
−0.472323 | + | 0.881426i | \(0.656584\pi\) | |||||||
\(48\) | 3.31576 | − | 2.31181i | 0.478588 | − | 0.333681i | ||||
\(49\) | −5.66216 | − | 4.11380i | −0.808880 | − | 0.587686i | ||||
\(50\) | −5.93989 | − | 8.97439i | −0.840027 | − | 1.26917i | ||||
\(51\) | 6.07316 | + | 8.71054i | 0.850412 | + | 1.21972i | ||||
\(52\) | −2.37781 | − | 7.31814i | −0.329743 | − | 1.01484i | ||||
\(53\) | 4.45543 | − | 3.23706i | 0.612001 | − | 0.444645i | −0.238117 | − | 0.971236i | \(-0.576530\pi\) |
0.850118 | + | 0.526592i | \(0.176530\pi\) | |||||||
\(54\) | 10.4171 | + | 4.07090i | 1.41758 | + | 0.553979i | ||||
\(55\) | 6.41259 | + | 3.72541i | 0.864674 | + | 0.502334i | ||||
\(56\) | − | 5.09670i | − | 0.681075i | ||||||
\(57\) | −0.0600724 | + | 3.08641i | −0.00795679 | + | 0.408805i | ||||
\(58\) | −11.5027 | + | 3.73746i | −1.51038 | + | 0.490753i | ||||
\(59\) | −0.0480847 | − | 0.0156237i | −0.00626009 | − | 0.00203403i | 0.305885 | − | 0.952068i | \(-0.401048\pi\) |
−0.312145 | + | 0.950034i | \(0.601048\pi\) | |||||||
\(60\) | 7.99522 | + | 6.32906i | 1.03218 | + | 0.817078i | ||||
\(61\) | 1.70674 | − | 2.34913i | 0.218526 | − | 0.300776i | −0.685653 | − | 0.727928i | \(-0.740483\pi\) |
0.904179 | + | 0.427153i | \(0.140483\pi\) | |||||||
\(62\) | 2.92669 | + | 0.950939i | 0.371690 | + | 0.120769i | ||||
\(63\) | −9.33066 | + | 6.23924i | −1.17555 | + | 0.786071i | ||||
\(64\) | −9.71504 | + | 7.05839i | −1.21438 | + | 0.882299i | ||||
\(65\) | −5.36953 | + | 3.72494i | −0.666008 | + | 0.462021i | ||||
\(66\) | −12.0936 | − | 2.57483i | −1.48862 | − | 0.316940i | ||||
\(67\) | 2.45040i | 0.299364i | 0.988734 | + | 0.149682i | \(0.0478250\pi\) | ||||
−0.988734 | + | 0.149682i | \(0.952175\pi\) | |||||||
\(68\) | −9.48767 | − | 13.0587i | −1.15055 | − | 1.58359i | ||||
\(69\) | 1.52064 | − | 4.38764i | 0.183064 | − | 0.528209i | ||||
\(70\) | −17.2436 | + | 5.18964i | −2.06100 | + | 0.620281i | ||||
\(71\) | 0.490070 | − | 0.674523i | 0.0581606 | − | 0.0800512i | −0.778946 | − | 0.627091i | \(-0.784245\pi\) |
0.837107 | + | 0.547040i | \(0.184245\pi\) | |||||||
\(72\) | −3.83453 | − | 1.41312i | −0.451903 | − | 0.166537i | ||||
\(73\) | −1.79580 | + | 5.52690i | −0.210182 | + | 0.646875i | 0.789278 | + | 0.614036i | \(0.210455\pi\) |
−0.999461 | + | 0.0328393i | \(0.989545\pi\) | |||||||
\(74\) | 2.45879 | + | 7.56739i | 0.285829 | + | 0.879691i | ||||
\(75\) | 3.19024 | − | 8.05123i | 0.368378 | − | 0.929676i | ||||
\(76\) | − | 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 | 0.411586 | − | 0.911371i | \(-0.364975\pi\) |
−0.993952 | + | 0.109813i | \(0.964975\pi\) | |||||||
\(80\) | 4.15380 | + | 3.15866i | 0.464409 | + | 0.353149i | ||||
\(81\) | 2.10710 | + | 8.74987i | 0.234122 | + | 0.972207i | ||||
\(82\) | −0.321580 | + | 0.442617i | −0.0355126 | + | 0.0488789i | ||||
\(83\) | 0.718410 | − | 0.988807i | 0.0788557 | − | 0.108536i | −0.767767 | − | 0.640729i | \(-0.778632\pi\) |
0.846623 | + | 0.532194i | \(0.178632\pi\) | |||||||
\(84\) | 13.9962 | − | 9.75843i | 1.52711 | − | 1.06473i | ||||
\(85\) | −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 | \(-0.0251695\pi\) | |||||||
\(90\) | −0.876527 | + | 14.4122i | −0.0923940 | + | 1.51918i | ||||
\(91\) | 3.37903 | + | 10.3996i | 0.354219 | + | 1.09017i | ||||
\(92\) | −2.18129 | + | 6.71333i | −0.227415 | + | 0.699913i | ||||
\(93\) | 0.719248 | + | 2.36956i | 0.0745825 | + | 0.245712i | ||||
\(94\) | 12.0098 | − | 16.5301i | 1.23872 | − | 1.70495i | ||||
\(95\) | −3.81621 | + | 1.14853i | −0.391535 | + | 0.117837i | ||||
\(96\) | −12.6792 | − | 4.39431i | −1.29407 | − | 0.448492i | ||||
\(97\) | −4.47759 | − | 6.16287i | −0.454630 | − | 0.625745i | 0.518754 | − | 0.854924i | \(-0.326396\pi\) |
−0.973384 | + | 0.229179i | \(0.926396\pi\) | |||||||
\(98\) | 15.0643i | 1.52173i | ||||||||
\(99\) | −3.86624 | − | 9.16800i | −0.388572 | − | 0.921418i | ||||
\(100\) | −4.61038 | + | 12.3307i | −0.461038 | + | 1.23307i | ||||
\(101\) | −8.50114 | + | 6.17644i | −0.845895 | + | 0.614579i | −0.924011 | − | 0.382366i | \(-0.875110\pi\) |
0.0781161 | + | 0.996944i | \(0.475110\pi\) | |||||||
\(102\) | 7.48450 | − | 21.5956i | 0.741076 | − | 2.13828i | ||||
\(103\) | −3.92066 | − | 1.27390i | −0.386314 | − | 0.125521i | 0.109420 | − | 0.993996i | \(-0.465101\pi\) |
−0.495734 | + | 0.868475i | \(0.665101\pi\) | |||||||
\(104\) | −2.34006 | + | 3.22081i | −0.229462 | + | 0.315827i | ||||
\(105\) | −11.3618 | − | 8.99403i | −1.10879 | − | 0.877727i | ||||
\(106\) | −11.2736 | − | 3.66303i | −1.09499 | − | 0.355785i | ||||
\(107\) | −2.15093 | + | 0.698881i | −0.207939 | + | 0.0675634i | −0.411134 | − | 0.911575i | \(-0.634867\pi\) |
0.203196 | + | 0.979138i | \(0.434867\pi\) | |||||||
\(108\) | −3.46120 | − | 13.2357i | −0.333054 | − | 1.27361i | ||||
\(109\) | 13.9966i | 1.34063i | 0.742076 | + | 0.670315i | \(0.233841\pi\) | ||||
−0.742076 | + | 0.670315i | \(0.766159\pi\) | |||||||
\(110\) | −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 | \(-0.124335\pi\) |
−0.971880 | + | 0.235477i | \(0.924335\pi\) | |||||||
\(114\) | 5.45049 | − | 3.80019i | 0.510485 | − | 0.355920i | ||||
\(115\) | 5.99353 | + | 0.130809i | 0.558900 | + | 0.0121980i | ||||
\(116\) | 11.9690 | + | 8.69597i | 1.11129 | + | 0.807400i | ||||
\(117\) | 8.76106 | + | 0.341171i | 0.809960 | + | 0.0315413i | ||||
\(118\) | 0.0336285 | + | 0.103498i | 0.00309576 | + | 0.00952776i | ||||
\(119\) | 13.4826 | + | 18.5573i | 1.23595 | + | 1.70114i | ||||
\(120\) | 0.217737 | − | 5.27131i | 0.0198766 | − | 0.481203i | ||||
\(121\) | 5.86026 | + | 9.30899i | 0.532751 | + | 0.846272i | ||||
\(122\) | −6.24993 | −0.565842 | ||||||||
\(123\) | −0.440174 | − | 0.00856732i | −0.0396891 | − | 0.000772489i | ||||
\(124\) | −1.16321 | − | 3.57999i | −0.104459 | − | 0.321492i | ||||
\(125\) | 11.1564 | + | 0.731393i | 0.997858 | + | 0.0654178i | ||||
\(126\) | 22.6694 | + | 8.35421i | 2.01955 | + | 0.744252i | ||||
\(127\) | 16.3861 | + | 11.9052i | 1.45403 | + | 1.05641i | 0.984869 | + | 0.173302i | \(0.0554438\pi\) |
0.469161 | + | 0.883112i | \(0.344556\pi\) | |||||||
\(128\) | 9.84539 | + | 3.19896i | 0.870218 | + | 0.282751i | ||||
\(129\) | 4.90400 | − | 14.1499i | 0.431773 | − | 1.24583i | ||||
\(130\) | 13.2797 | + | 4.63754i | 1.16470 | + | 0.406739i | ||||
\(131\) | −11.4641 | −1.00163 | −0.500813 | − | 0.865556i | \(-0.666966\pi\) | ||||
−0.500813 | + | 0.865556i | \(0.666966\pi\) | |||||||
\(132\) | 6.14712 | + | 13.8192i | 0.535039 | + | 1.20281i | ||||
\(133\) | 6.66839i | 0.578223i | ||||||||
\(134\) | 4.26698 | − | 3.10014i | 0.368611 | − | 0.267811i | ||||
\(135\) | −9.91688 | + | 6.05438i | −0.853509 | + | 0.521078i | ||||
\(136\) | −2.58069 | + | 7.94256i | −0.221293 | + | 0.681069i | ||||
\(137\) | −14.9880 | − | 10.8894i | −1.28051 | − | 0.930347i | −0.280944 | − | 0.959724i | \(-0.590648\pi\) |
−0.999568 | + | 0.0293772i | \(0.990648\pi\) | |||||||
\(138\) | −9.56421 | + | 2.90309i | −0.814160 | + | 0.247127i | ||||
\(139\) | 7.52360 | + | 2.44457i | 0.638143 | + | 0.207345i | 0.610179 | − | 0.792264i | \(-0.291098\pi\) |
0.0279644 | + | 0.999609i | \(0.491098\pi\) | |||||||
\(140\) | 17.5337 | + | 13.3331i | 1.48187 | + | 1.12685i | ||||
\(141\) | 16.4388 | + | 0.319957i | 1.38440 | + | 0.0269452i | ||||
\(142\) | −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 | ||||
\(147\) | −9.94395 | + | 6.93311i | −0.820163 | + | 0.571834i | ||||
\(148\) | 5.72089 | − | 7.87413i | 0.470254 | − | 0.647249i | ||||
\(149\) | −5.44385 | − | 3.95519i | −0.445978 | − | 0.324022i | 0.342028 | − | 0.939690i | \(-0.388886\pi\) |
−0.788006 | + | 0.615668i | \(0.788886\pi\) | |||||||
\(150\) | −18.0561 | + | 4.63077i | −1.47427 | + | 0.378101i | ||||
\(151\) | 5.06380 | − | 1.64533i | 0.412086 | − | 0.133895i | −0.0956350 | − | 0.995416i | \(-0.530488\pi\) |
0.507721 | + | 0.861522i | \(0.330488\pi\) | |||||||
\(152\) | −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 | ||||
\(156\) | −13.3252 | − | 0.259355i | −1.06687 | − | 0.0207650i | ||||
\(157\) | −8.71622 | + | 2.83207i | −0.695630 | + | 0.226024i | −0.635426 | − | 0.772162i | \(-0.719175\pi\) |
−0.0602045 | + | 0.998186i | \(0.519175\pi\) | |||||||
\(158\) | −5.85731 | + | 18.0270i | −0.465983 | + | 1.43415i | ||||
\(159\) | −2.77055 | − | 9.12757i | −0.219719 | − | 0.723863i | ||||
\(160\) | 0.378006 | − | 17.3199i | 0.0298840 | − | 1.36926i | ||||
\(161\) | 3.09977 | − | 9.54010i | 0.244296 | − | 0.751865i | ||||
\(162\) | 12.5707 | − | 14.7391i | 0.987645 | − | 1.15801i | ||||
\(163\) | −13.6145 | − | 18.7387i | −1.06637 | − | 1.46773i | −0.873700 | − | 0.486465i | \(-0.838286\pi\) |
−0.192668 | − | 0.981264i | \(-0.561714\pi\) | |||||||
\(164\) | 0.669231 | 0.0522581 | ||||||||
\(165\) | 9.73396 | − | 8.38153i | 0.757788 | − | 0.652501i | ||||
\(166\) | −2.63075 | −0.204186 | ||||||||
\(167\) | 8.67860 | + | 11.9451i | 0.671570 | + | 0.924337i | 0.999795 | − | 0.0202628i | \(-0.00645029\pi\) |
−0.328225 | + | 0.944600i | \(0.606450\pi\) | |||||||
\(168\) | −8.34101 | − | 2.89078i | −0.643523 | − | 0.223029i | ||||
\(169\) | −1.37779 | + | 4.24039i | −0.105983 | + | 0.326184i | ||||
\(170\) | 29.4997 | + | 0.643830i | 2.26252 | + | 0.0493795i | ||||
\(171\) | 5.01700 | + | 1.84889i | 0.383660 | + | 0.141388i | ||||
\(172\) | −7.03455 | + | 21.6501i | −0.536379 | + | 1.65081i | ||||
\(173\) | 0.743915 | − | 0.241713i | 0.0565588 | − | 0.0183771i | −0.280601 | − | 0.959825i | \(-0.590534\pi\) |
0.337160 | + | 0.941447i | \(0.390534\pi\) | |||||||
\(174\) | −0.407656 | + | 20.9446i | −0.0309043 | + | 1.58781i | ||||
\(175\) | 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 | \(-0.828628\pi\) |
−0.393189 | + | 0.919458i | \(0.628628\pi\) | |||||||
\(180\) | 14.8926 | − | 9.49482i | 1.11003 | − | 0.707702i | ||||
\(181\) | −18.7514 | − | 13.6237i | −1.39378 | − | 1.01264i | −0.995439 | − | 0.0954051i | \(-0.969585\pi\) |
−0.398343 | − | 0.917236i | \(-0.630415\pi\) | |||||||
\(182\) | 13.8342 | − | 19.0411i | 1.02546 | − | 1.41142i | ||||
\(183\) | −2.87643 | − | 4.12557i | −0.212632 | − | 0.304971i | ||||
\(184\) | 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 | ||||||||
\(189\) | 4.91860 | + | 18.8089i | 0.357776 | + | 1.36815i | ||||
\(190\) | 6.82808 | + | 5.19224i | 0.495361 | + | 0.376685i | ||||
\(191\) | −11.7130 | − | 3.80577i | −0.847519 | − | 0.275376i | −0.147113 | − | 0.989120i | \(-0.546998\pi\) |
−0.700407 | + | 0.713744i | \(0.746998\pi\) | |||||||
\(192\) | 6.04117 | + | 19.9026i | 0.435984 | + | 1.43635i | ||||
\(193\) | −14.3079 | − | 10.3953i | −1.02991 | − | 0.748272i | −0.0616173 | − | 0.998100i | \(-0.519626\pi\) |
−0.968290 | + | 0.249828i | \(0.919626\pi\) | |||||||
\(194\) | −5.06679 | + | 15.5940i | −0.363775 | + | 1.11958i | ||||
\(195\) | 3.05052 | + | 10.9002i | 0.218452 | + | 0.780582i | ||||
\(196\) | 14.9078 | − | 10.8311i | 1.06484 | − | 0.773651i | ||||
\(197\) | 10.8770i | 0.774956i | 0.921879 | + | 0.387478i | \(0.126654\pi\) | ||||
−0.921879 | + | 0.387478i | \(0.873346\pi\) | |||||||
\(198\) | −11.0732 | + | 18.3314i | −0.786936 | + | 1.30275i | ||||
\(199\) | 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 | ||||
\(201\) | 4.01021 | + | 1.38984i | 0.282858 | + | 0.0980316i | ||||
\(202\) | 21.5105 | + | 6.98920i | 1.51348 | + | 0.491758i | ||||
\(203\) | −17.0087 | − | 12.3576i | −1.19378 | − | 0.867332i | ||||
\(204\) | −26.7524 | + | 8.12035i | −1.87305 | + | 0.568538i | ||||
\(205\) | −0.163799 | − | 0.544255i | −0.0114402 | − | 0.0380124i | ||||
\(206\) | 2.74196 | + | 8.43887i | 0.191041 | + | 0.587964i | ||||
\(207\) | −6.31810 | − | 4.97723i | −0.439138 | − | 0.345941i | ||||
\(208\) | −6.82045 | −0.472913 | ||||||||
\(209\) | −5.80442 | − | 1.11820i | −0.401500 | − | 0.0773477i | ||||
\(210\) | −1.28724 | + | 31.1635i | −0.0888281 | + | 2.15049i | ||||
\(211\) | 10.0687 | + | 13.8584i | 0.693161 | + | 0.954055i | 0.999997 | + | 0.00229222i | \(0.000729636\pi\) |
−0.306836 | + | 0.951762i | \(0.599270\pi\) | |||||||
\(212\) | 4.48069 | + | 13.7902i | 0.307735 | + | 0.947111i | ||||
\(213\) | −0.825930 | − | 1.18461i | −0.0565918 | − | 0.0811678i | ||||
\(214\) | 3.93826 | + | 2.86131i | 0.269214 | + | 0.195595i | ||||
\(215\) | 19.3288 | + | 0.421851i | 1.31821 | + | 0.0287700i | ||||
\(216\) | −4.48753 | + | 5.47390i | −0.305338 | + | 0.372451i | ||||
\(217\) | 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 | ||||||
\(222\) | 13.7790 | + | 0.268188i | 0.924787 | + | 0.0179996i | ||||
\(223\) | 12.6327 | − | 4.10463i | 0.845951 | − | 0.274866i | 0.146202 | − | 0.989255i | \(-0.453295\pi\) |
0.699749 | + | 0.714389i | \(0.253295\pi\) | |||||||
\(224\) | −27.5687 | − | 8.95760i | −1.84201 | − | 0.598505i | ||||
\(225\) | −11.3668 | − | 9.78755i | −0.757786 | − | 0.652504i | ||||
\(226\) | −2.05432 | + | 2.82753i | −0.136651 | + | 0.188085i | ||||
\(227\) | −2.36556 | − | 0.768619i | −0.157008 | − | 0.0510150i | 0.229458 | − | 0.973318i | \(-0.426305\pi\) |
−0.386466 | + | 0.922303i | \(0.626305\pi\) | |||||||
\(228\) | −7.67954 | − | 2.66154i | −0.508590 | − | 0.176265i | ||||
\(229\) | −9.81334 | + | 7.12981i | −0.648484 | + | 0.471151i | −0.862754 | − | 0.505623i | \(-0.831263\pi\) |
0.214270 | + | 0.976774i | \(0.431263\pi\) | |||||||
\(230\) | −7.35497 | − | 10.6023i | −0.484972 | − | 0.699092i | ||||
\(231\) | −8.73549 | − | 19.6380i | −0.574753 | − | 1.29209i | ||||
\(232\) | − | 7.65442i | − | 0.502537i | ||||||
\(233\) | 3.30584 | + | 4.55009i | 0.216572 | + | 0.298086i | 0.903456 | − | 0.428681i | \(-0.141022\pi\) |
−0.686883 | + | 0.726768i | \(0.741022\pi\) | |||||||
\(234\) | −10.4900 | − | 15.6876i | −0.685753 | − | 1.02553i | ||||
\(235\) | 6.11728 | + | 20.3258i | 0.399047 | + | 1.32591i | ||||
\(236\) | 0.0782437 | − | 0.107693i | 0.00509323 | − | 0.00701023i | ||||
\(237\) | −14.5953 | + | 4.43021i | −0.948067 | + | 0.287773i | ||||
\(238\) | 15.2568 | − | 46.9556i | 0.988952 | − | 3.04368i | ||||
\(239\) | −4.41810 | − | 13.5975i | −0.285783 | − | 0.879551i | −0.986163 | − | 0.165780i | \(-0.946986\pi\) |
0.700379 | − | 0.713771i | \(-0.253014\pi\) | |||||||
\(240\) | 7.52529 | − | 5.00636i | 0.485755 | − | 0.323159i | ||||
\(241\) | − | 12.5806i | − | 0.810390i | −0.914230 | − | 0.405195i | \(-0.867204\pi\) | ||
0.914230 | − | 0.405195i | \(-0.132796\pi\) | |||||||
\(242\) | 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 | ||||
\(246\) | 0.541969 | + | 0.777330i | 0.0345547 | + | 0.0495607i | ||||
\(247\) | 3.06167 | − | 4.21403i | 0.194810 | − | 0.268132i | ||||
\(248\) | −1.14474 | + | 1.57560i | −0.0726911 | + | 0.100051i | ||||
\(249\) | −1.21076 | − | 1.73655i | −0.0767287 | − | 0.110050i | ||||
\(250\) | −12.8410 | − | 20.3524i | −0.812134 | − | 1.28720i | ||||
\(251\) | 2.90618 | + | 4.00001i | 0.183436 | + | 0.252478i | 0.890825 | − | 0.454346i | \(-0.150127\pi\) |
−0.707389 | + | 0.706824i | \(0.750127\pi\) | |||||||
\(252\) | −8.03169 | − | 28.4404i | −0.505949 | − | 1.79157i | ||||
\(253\) | 7.78428 | + | 4.29791i | 0.489393 | + | 0.270207i | ||||
\(254\) | − | 43.5956i | − | 2.73543i | ||||||
\(255\) | 13.1518 | + | 19.7690i | 0.823596 | + | 1.23798i | ||||
\(256\) | 0.536150 | + | 1.65010i | 0.0335094 | + | 0.103131i | ||||
\(257\) | 2.80157 | − | 8.62234i | 0.174757 | − | 0.537847i | −0.824865 | − | 0.565329i | \(-0.808749\pi\) |
0.999622 | + | 0.0274825i | \(0.00874904\pi\) | |||||||
\(258\) | −30.8440 | + | 9.36230i | −1.92027 | + | 0.582871i | ||||
\(259\) | −8.12978 | + | 11.1897i | −0.505160 | + | 0.695293i | ||||
\(260\) | −4.95862 | − | 16.4760i | −0.307521 | − | 1.02180i | ||||
\(261\) | −14.0131 | + | 9.37033i | −0.867392 | + | 0.580009i | ||||
\(262\) | 14.5039 | + | 19.9629i | 0.896055 | + | 1.23331i | ||||
\(263\) | 7.36321i | 0.454035i | 0.973891 | + | 0.227017i | \(0.0728974\pi\) | ||||
−0.973891 | + | 0.227017i | \(0.927103\pi\) | |||||||
\(264\) | 3.91493 | − | 6.77558i | 0.240947 | − | 0.417008i | ||||
\(265\) | 10.1182 | − | 7.01919i | 0.621557 | − | 0.431185i | ||||
\(266\) | 11.6119 | − | 8.43656i | 0.711973 | − | 0.517279i | ||||
\(267\) | −2.43909 | − | 0.845326i | −0.149270 | − | 0.0517331i | ||||
\(268\) | −6.13584 | − | 1.99366i | −0.374806 | − | 0.121782i | ||||
\(269\) | −15.0348 | + | 20.6936i | −0.916686 | + | 1.26171i | 0.0481459 | + | 0.998840i | \(0.484669\pi\) |
−0.964831 | + | 0.262869i | \(0.915331\pi\) | |||||||
\(270\) | 23.0891 | + | 9.60889i | 1.40516 | + | 0.584779i | ||||
\(271\) | −5.91321 | − | 1.92132i | −0.359202 | − | 0.116712i | 0.123856 | − | 0.992300i | \(-0.460474\pi\) |
−0.483058 | + | 0.875588i | \(0.660474\pi\) | |||||||
\(272\) | −13.6071 | + | 4.42121i | −0.825051 | + | 0.268075i | ||||
\(273\) | 18.9360 | + | 0.368561i | 1.14606 | + | 0.0223063i | ||||
\(274\) | 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 | −0.207265 | − | 0.978285i | \(-0.566456\pi\) |
0.866356 | + | 0.499427i | \(0.166456\pi\) | |||||||
\(278\) | −5.26171 | − | 16.1939i | −0.315576 | − | 0.971245i | ||||
\(279\) | 4.28585 | + | 0.166899i | 0.256587 | + | 0.00999196i | ||||
\(280\) | 0.248671 | − | 11.3939i | 0.0148609 | − | 0.680913i | ||||
\(281\) | 9.35985 | + | 6.80033i | 0.558362 | + | 0.405674i | 0.830859 | − | 0.556483i | \(-0.187850\pi\) |
−0.272497 | + | 0.962157i | \(0.587850\pi\) | |||||||
\(282\) | −20.2405 | − | 29.0303i | −1.20530 | − | 1.72873i | ||||
\(283\) | −2.18516 | − | 6.72524i | −0.129894 | − | 0.399774i | 0.864867 | − | 0.502002i | \(-0.167403\pi\) |
−0.994761 | + | 0.102228i | \(0.967403\pi\) | |||||||
\(284\) | 1.29029 | + | 1.77594i | 0.0765648 | + | 0.105382i | ||||
\(285\) | −0.284882 | + | 6.89686i | −0.0168749 | + | 0.408534i | ||||
\(286\) | 14.2543 | + | 15.2348i | 0.842875 | + | 0.900850i | ||||
\(287\) | −0.951023 | −0.0561371 | ||||||||
\(288\) | −14.3830 | + | 18.2578i | −0.847527 | + | 1.07585i | ||||
\(289\) | −6.36129 | − | 19.5780i | −0.374194 | − | 1.15165i | ||||
\(290\) | −25.8971 | + | 7.79400i | −1.52073 | + | 0.457680i | ||||
\(291\) | −12.6255 | + | 3.83230i | −0.740119 | + | 0.224653i | ||||
\(292\) | −12.3784 | − | 8.99341i | −0.724389 | − | 0.526300i | ||||
\(293\) | 23.3787 | + | 7.59620i | 1.36580 | + | 0.443775i | 0.897974 | − | 0.440048i | \(-0.145038\pi\) |
0.467823 | + | 0.883822i | \(0.345038\pi\) | |||||||
\(294\) | 24.6535 | + | 8.54430i | 1.43782 | + | 0.498313i | ||||
\(295\) | −0.106733 | − | 0.0372733i | −0.00621422 | − | 0.00217014i | ||||
\(296\) | −5.03568 | −0.292693 | ||||||||
\(297\) | −17.1968 | + | 1.12733i | −0.997858 | + | 0.0654143i | ||||
\(298\) | 14.4835i | 0.839008i | ||||||||
\(299\) | −6.33904 | + | 4.60558i | −0.366596 | + | 0.266348i | ||||
\(300\) | 17.5648 | + | 14.5389i | 1.01410 | + | 0.839405i | ||||
\(301\) | 9.99658 | − | 30.7663i | 0.576193 | − | 1.77334i | ||||
\(302\) | −9.27156 | − | 6.73618i | −0.533518 | − | 0.387624i | ||||
\(303\) | 5.28632 | + | 17.4157i | 0.303691 | + | 1.00051i | ||||
\(304\) | −3.95576 | − | 1.28531i | −0.226879 | − | 0.0737173i | ||||
\(305\) | 3.93010 | − | 5.16830i | 0.225037 | − | 0.295936i | ||||
\(306\) | −31.0972 | − | 24.4975i | −1.77771 | − | 1.40043i | ||||
\(307\) | 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 | \(-0.402564\pi\) |
0.804255 | + | 0.594284i | \(0.202564\pi\) | |||||||
\(312\) | 3.94377 | + | 5.65643i | 0.223272 | + | 0.320232i | ||||
\(313\) | −16.5721 | + | 22.8096i | −0.936712 | + | 1.28927i | 0.0204718 | + | 0.999790i | \(0.493483\pi\) |
−0.957183 | + | 0.289482i | \(0.906517\pi\) | |||||||
\(314\) | 15.9590 | + | 11.5949i | 0.900617 | + | 0.654336i | ||||
\(315\) | −21.1634 | + | 13.4928i | −1.19242 | + | 0.760233i | ||||
\(316\) | 22.0510 | − | 7.16479i | 1.24046 | − | 0.403051i | ||||
\(317\) | 9.41776 | − | 6.84240i | 0.528954 | − | 0.384308i | −0.291012 | − | 0.956719i | \(-0.593992\pi\) |
0.819966 | + | 0.572412i | \(0.193992\pi\) | |||||||
\(318\) | −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 | ||||
\(321\) | −0.0762290 | + | 3.91651i | −0.00425469 | + | 0.218598i | ||||
\(322\) | −20.5342 | + | 6.67198i | −1.14433 | + | 0.371815i | ||||
\(323\) | 3.37651 | − | 10.3918i | 0.187874 | − | 0.578218i | ||||
\(324\) | −23.6241 | − | 1.84272i | −1.31245 | − | 0.102374i | ||||
\(325\) | −12.1855 | + | 8.06524i | −0.675931 | + | 0.447379i | ||||
\(326\) | −15.4060 | + | 47.4148i | −0.853259 | + | 2.62606i | ||||
\(327\) | 22.9061 | + | 7.93870i | 1.26671 | + | 0.439011i | ||||
\(328\) | −0.203520 | − | 0.280122i | −0.0112375 | − | 0.0154671i | ||||
\(329\) | 35.5171 | 1.95812 | ||||||||
\(330\) | −26.9100 | − | 6.34618i | −1.48135 | − | 0.349345i | ||||
\(331\) | −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 | ||||
\(333\) | 6.16454 | + | 9.21894i | 0.337815 | + | 0.505195i | ||||
\(334\) | 9.82061 | − | 30.2247i | 0.537360 | − | 1.65382i | ||||
\(335\) | −0.119556 | + | 5.47796i | −0.00653206 | + | 0.299293i | ||||
\(336\) | −4.39266 | − | 14.4716i | −0.239639 | − | 0.789491i | ||||
\(337\) | −4.52795 | + | 13.9356i | −0.246653 | + | 0.759121i | 0.748707 | + | 0.662901i | \(0.230675\pi\) |
−0.995360 | + | 0.0962195i | \(0.969325\pi\) | |||||||
\(338\) | 9.12706 | − | 2.96556i | 0.496446 | − | 0.161305i | ||||
\(339\) | −2.81192 | − | 0.0547298i | −0.152722 | − | 0.00297251i | ||||
\(340\) | −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 | ||||
\(345\) | 3.61353 | − | 9.73452i | 0.194546 | − | 0.524089i | ||||
\(346\) | −1.36207 | − | 0.989602i | −0.0732254 | − | 0.0532014i | ||||
\(347\) | −5.35219 | + | 7.36665i | −0.287321 | + | 0.395463i | −0.928141 | − | 0.372228i | \(-0.878594\pi\) |
0.640821 | + | 0.767690i | \(0.278594\pi\) | |||||||
\(348\) | 21.0200 | − | 14.6556i | 1.12679 | − | 0.785622i | ||||
\(349\) | 9.20764 | − | 2.99174i | 0.492874 | − | 0.160144i | −0.0520257 | − | 0.998646i | \(-0.516568\pi\) |
0.544900 | + | 0.838501i | \(0.316568\pi\) | |||||||
\(350\) | −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 | \(-0.604920\pi\) | ||||
−0.323680 | + | 0.946166i | \(0.604920\pi\) | |||||||
\(354\) | 0.188453 | + | 0.00366796i | 0.0100162 | + | 0.000194950i | ||||
\(355\) | 1.12848 | − | 1.48401i | 0.0598935 | − | 0.0787631i | ||||
\(356\) | 3.73194 | + | 1.21258i | 0.197792 | + | 0.0642666i | ||||
\(357\) | 38.0171 | − | 11.5396i | 2.01208 | − | 0.610739i | ||||
\(358\) | 30.6629 | + | 22.2779i | 1.62059 | + | 1.17742i | ||||
\(359\) | 3.55028 | − | 10.9266i | 0.187377 | − | 0.576686i | −0.812604 | − | 0.582816i | \(-0.801951\pi\) |
0.999981 | + | 0.00612922i | \(0.00195100\pi\) | |||||||
\(360\) | −8.50328 | − | 3.34616i | −0.448162 | − | 0.176358i | ||||
\(361\) | −12.8015 | + | 9.30081i | −0.673761 | + | 0.489516i | ||||
\(362\) | 49.8886i | 2.62209i | ||||||||
\(363\) | 18.5585 | − | 4.31066i | 0.974069 | − | 0.226251i | ||||
\(364\) | −28.7899 | −1.50900 | ||||||||
\(365\) | −4.28423 | + | 12.2680i | −0.224247 | + | 0.642135i | ||||
\(366\) | −3.54488 | + | 10.2283i | −0.185294 | + | 0.534643i | ||||
\(367\) | −0.551086 | − | 0.179059i | −0.0287665 | − | 0.00934679i | 0.294598 | − | 0.955621i | \(-0.404814\pi\) |
−0.323365 | + | 0.946274i | \(0.604814\pi\) | |||||||
\(368\) | 5.06183 | + | 3.67763i | 0.263866 | + | 0.191710i | ||||
\(369\) | −0.263682 | + | 0.715507i | −0.0137267 | + | 0.0372478i | ||||
\(370\) | 5.12751 | + | 17.0371i | 0.266566 | + | 0.885719i | ||||
\(371\) | −6.36737 | − | 19.5968i | −0.330578 | − | 1.01741i | ||||
\(372\) | −6.51859 | − | 0.126875i | −0.337973 | − | 0.00657814i | ||||
\(373\) | −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 | ||||
\(375\) | 7.52473 | − | 17.8432i | 0.388575 | − | 0.921417i | ||||
\(376\) | 7.60071 | + | 10.4615i | 0.391977 | + | 0.539509i | ||||
\(377\) | 5.07476 | + | 15.6185i | 0.261364 | + | 0.804394i | ||||
\(378\) | 26.5299 | − | 32.3612i | 1.36455 | − | 1.66448i | ||||
\(379\) | 3.28240 | + | 2.38480i | 0.168606 | + | 0.122499i | 0.668888 | − | 0.743363i | \(-0.266771\pi\) |
−0.500283 | + | 0.865862i | \(0.666771\pi\) | |||||||
\(380\) | 0.228950 | − | 10.4903i | 0.0117449 | − | 0.538141i | ||||
\(381\) | 28.7774 | − | 20.0642i | 1.47431 | − | 1.02792i | ||||
\(382\) | 8.19158 | + | 25.2111i | 0.419118 | + | 1.28991i | ||||
\(383\) | −22.8848 | + | 16.6268i | −1.16936 | + | 0.849590i | −0.990932 | − | 0.134363i | \(-0.957101\pi\) |
−0.178428 | + | 0.983953i | \(0.557101\pi\) | |||||||
\(384\) | 10.8194 | − | 14.2981i | 0.552128 | − | 0.729645i | ||||
\(385\) | 20.6706 | − | 18.5111i | 1.05347 | − | 0.943416i | ||||
\(386\) | 38.0666i | 1.93754i | ||||||||
\(387\) | −20.3755 | − | 16.0513i | −1.03575 | − | 0.815932i | ||||
\(388\) | 19.0749 | − | 6.19781i | 0.968381 | − | 0.314646i | ||||
\(389\) | 37.3298 | + | 12.1292i | 1.89270 | + | 0.614975i | 0.977058 | + | 0.212973i | \(0.0683148\pi\) |
0.915639 | + | 0.402001i | \(0.131685\pi\) | |||||||
\(390\) | 15.1216 | − | 19.1025i | 0.765713 | − | 0.967292i | ||||
\(391\) | −9.66119 | + | 13.2975i | −0.488587 | + | 0.672483i | ||||
\(392\) | −9.06722 | − | 2.94612i | −0.457964 | − | 0.148801i | ||||
\(393\) | −6.50231 | + | 18.7616i | −0.327998 | + | 0.946399i | ||||
\(394\) | 18.9406 | − | 13.7611i | 0.954212 | − | 0.693276i | ||||
\(395\) | −11.2239 | − | 16.1794i | −0.564737 | − | 0.814074i | ||||
\(396\) | 26.1024 | − | 2.22201i | 1.31169 | − | 0.111660i | ||||
\(397\) | 5.73171i | 0.287666i | 0.989602 | + | 0.143833i | \(0.0459429\pi\) | ||||
−0.989602 | + | 0.143833i | \(0.954057\pi\) | |||||||
\(398\) | −33.0080 | − | 45.4317i | −1.65454 | − | 2.27728i | ||||
\(399\) | 10.9132 | + | 3.78223i | 0.546342 | + | 0.189348i | ||||
\(400\) | 9.13186 | + | 7.26396i | 0.456593 | + | 0.363198i | ||||
\(401\) | 14.9545 | − | 20.5831i | 0.746790 | − | 1.02787i | −0.251409 | − | 0.967881i | \(-0.580894\pi\) |
0.998199 | − | 0.0599878i | \(-0.0191062\pi\) | |||||||
\(402\) | −2.65336 | − | 8.74149i | −0.132338 | − | 0.435986i | ||||
\(403\) | 1.29119 | − | 3.97389i | 0.0643190 | − | 0.197953i | ||||
\(404\) | −8.54933 | − | 26.3121i | −0.425345 | − | 1.30908i | ||||
\(405\) | 4.28358 | + | 19.6634i | 0.212853 | + | 0.977084i | ||||
\(406\) | 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 | 0.414171 | − | 0.910199i | \(-0.364072\pi\) |
−0.993637 | + | 0.112633i | \(0.964072\pi\) | |||||||
\(410\) | −0.740500 | + | 0.973797i | −0.0365707 | + | 0.0480924i | ||||
\(411\) | −26.3221 | + | 18.3523i | −1.29837 | + | 0.905252i | ||||
\(412\) | 6.37972 | − | 8.78093i | 0.314306 | − | 0.432605i | ||||
\(413\) | −0.111190 | + | 0.153039i | −0.00547129 | + | 0.00753058i | ||||
\(414\) | −0.673650 | + | 17.2989i | −0.0331081 | + | 0.850195i | ||||
\(415\) | 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 | \(0.842179\pi\) | |||||||
\(420\) | 31.7651 | − | 21.1324i | 1.54998 | − | 1.03116i | ||||
\(421\) | 1.31040 | + | 4.03300i | 0.0638650 | + | 0.196556i | 0.977898 | − | 0.209084i | \(-0.0670484\pi\) |
−0.914033 | + | 0.405641i | \(0.867048\pi\) | |||||||
\(422\) | 11.3937 | − | 35.0662i | 0.554636 | − | 1.70699i | ||||
\(423\) | 9.84751 | − | 26.7215i | 0.478802 | − | 1.29924i | ||||
\(424\) | 4.40955 | − | 6.06923i | 0.214147 | − | 0.294748i | ||||
\(425\) | −19.0825 | + | 23.9895i | −0.925638 | + | 1.16366i | ||||
\(426\) | −1.01787 | + | 2.93693i | −0.0493159 | + | 0.142295i | ||||
\(427\) | −6.38578 | − | 8.78928i | −0.309030 | − | 0.425343i | ||||
\(428\) | − | 5.95458i | − | 0.287826i | ||||||
\(429\) | −3.49613 | + | 16.4208i | −0.168795 | + | 0.792804i | ||||
\(430\) | −23.7194 | − | 34.1917i | −1.14385 | − | 1.64887i | ||||
\(431\) | 20.9898 | − | 15.2500i | 1.01104 | − | 0.734567i | 0.0466170 | − | 0.998913i | \(-0.485156\pi\) |
0.964428 | + | 0.264346i | \(0.0851560\pi\) | |||||||
\(432\) | −12.1057 | − | 0.707573i | −0.582435 | − | 0.0340431i | ||||
\(433\) | −2.14388 | − | 0.696587i | −0.103028 | − | 0.0334758i | 0.257049 | − | 0.966398i | \(-0.417250\pi\) |
−0.360077 | + | 0.932922i | \(0.617250\pi\) | |||||||
\(434\) | 6.76760 | − | 9.31480i | 0.324855 | − | 0.447125i | ||||
\(435\) | −17.0635 | − | 13.5076i | −0.818134 | − | 0.647639i | ||||
\(436\) | −35.0477 | − | 11.3877i | −1.67848 | − | 0.545371i | ||||
\(437\) | −4.54447 | + | 1.47659i | −0.217391 | + | 0.0706348i | ||||
\(438\) | 0.421600 | − | 21.6610i | 0.0201448 | − | 1.03500i | ||||
\(439\) | − | 6.34927i | − | 0.303034i | −0.988455 | − | 0.151517i | \(-0.951584\pi\) | ||
0.988455 | − | 0.151517i | \(-0.0484159\pi\) | |||||||
\(440\) | 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 | \(-0.162158\pi\) |
−0.992942 | + | 0.118604i | \(0.962158\pi\) | |||||||
\(444\) | −9.64159 | − | 13.8286i | −0.457570 | − | 0.656278i | ||||
\(445\) | 0.0727165 | − | 3.33180i | 0.00344709 | − | 0.157943i | ||||
\(446\) | −23.1299 | − | 16.8049i | −1.09523 | − | 0.795734i | ||||
\(447\) | −9.56056 | + | 6.66581i | −0.452199 | + | 0.315282i | ||||
\(448\) | 13.8840 | + | 42.7306i | 0.655958 | + | 2.01883i | ||||
\(449\) | −16.2063 | − | 22.3060i | −0.764821 | − | 1.05269i | −0.996798 | − | 0.0799647i | \(-0.974519\pi\) |
0.231976 | − | 0.972721i | \(-0.425481\pi\) | |||||||
\(450\) | −2.66268 | + | 32.1762i | −0.125520 | + | 1.51680i | ||||
\(451\) | 0.159474 | − | 0.827807i | 0.00750934 | − | 0.0389799i | ||||
\(452\) | 4.27518 | 0.201088 | ||||||||
\(453\) | 0.179461 | − | 9.22037i | 0.00843180 | − | 0.433211i | ||||
\(454\) | 1.65438 | + | 5.09167i | 0.0776441 | + | 0.238964i | ||||
\(455\) | 7.04655 | + | 23.4135i | 0.330347 | + | 1.09764i | ||||
\(456\) | 1.22139 | + | 4.02385i | 0.0571966 | + | 0.188434i | ||||
\(457\) | −13.0649 | − | 9.49221i | −0.611150 | − | 0.444027i | 0.238669 | − | 0.971101i | \(-0.423289\pi\) |
−0.849819 | + | 0.527074i | \(0.823289\pi\) | |||||||
\(458\) | 24.8308 | + | 8.06802i | 1.16027 | + | 0.376994i | ||||
\(459\) | 1.85880 | − | 31.8018i | 0.0867615 | − | 1.48438i | ||||
\(460\) | −5.20390 | + | 14.9015i | −0.242633 | + | 0.694784i | ||||
\(461\) | −31.9271 | −1.48699 | −0.743497 | − | 0.668739i | \(-0.766834\pi\) | ||||
−0.743497 | + | 0.668739i | \(0.766834\pi\) | |||||||
\(462\) | −23.1447 | + | 40.0566i | −1.07679 | + | 1.86360i | ||||
\(463\) | − | 37.3488i | − | 1.73575i | −0.496786 | − | 0.867873i | \(-0.665487\pi\) | ||
0.496786 | − | 0.867873i | \(-0.334513\pi\) | |||||||
\(464\) | 10.6090 | − | 7.70790i | 0.492511 | − | 0.357830i | ||||
\(465\) | 1.49229 | + | 5.33233i | 0.0692034 | + | 0.247281i | ||||
\(466\) | 3.74085 | − | 11.5132i | 0.173292 | − | 0.533336i | ||||
\(467\) | 20.3358 | + | 14.7749i | 0.941031 | + | 0.683699i | 0.948669 | − | 0.316272i | \(-0.102431\pi\) |
−0.00763775 | + | 0.999971i | \(0.502431\pi\) | |||||||
\(468\) | −7.98232 | + | 21.6602i | −0.368983 | + | 1.00124i | ||||
\(469\) | 8.71945 | + | 2.83312i | 0.402627 | + | 0.130821i | ||||
\(470\) | 27.6549 | − | 36.3676i | 1.27562 | − | 1.67751i | ||||
\(471\) | −0.308902 | + | 15.8709i | −0.0142335 | + | 0.731290i | ||||
\(472\) | −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 | ||||
\(477\) | −16.5091 | − | 0.642895i | −0.755902 | − | 0.0294362i | ||||
\(478\) | −18.0883 | + | 24.8964i | −0.827339 | + | 1.13873i | ||||
\(479\) | −10.0657 | − | 7.31316i | −0.459914 | − | 0.334147i | 0.333584 | − | 0.942720i | \(-0.391742\pi\) |
−0.793497 | + | 0.608574i | \(0.791742\pi\) | |||||||
\(480\) | −28.1305 | − | 10.4423i | −1.28398 | − | 0.476622i | ||||
\(481\) | 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 | ||||
\(486\) | −16.9914 | − | 28.9324i | −0.770744 | − | 1.31240i | ||||
\(487\) | 28.4671 | − | 9.24953i | 1.28997 | − | 0.419136i | 0.417888 | − | 0.908499i | \(-0.362771\pi\) |
0.872080 | + | 0.489363i | \(0.162771\pi\) | |||||||
\(488\) | 1.22229 | − | 3.76183i | 0.0553307 | − | 0.170290i | ||||
\(489\) | −38.3888 | + | 11.6524i | −1.73600 | + | 0.526940i | ||||
\(490\) | −0.734996 | + | 33.6768i | −0.0332037 | + | 1.52136i | ||||
\(491\) | 4.81815 | − | 14.8287i | 0.217440 | − | 0.669212i | −0.781531 | − | 0.623866i | \(-0.785561\pi\) |
0.998971 | − | 0.0453457i | \(-0.0144389\pi\) | |||||||
\(492\) | 0.379579 | − | 1.09523i | 0.0171128 | − | 0.0493768i | ||||
\(493\) | 20.2487 | + | 27.8700i | 0.911958 | + | 1.25520i | ||||
\(494\) | −11.2115 | −0.504431 | ||||||||
\(495\) | −8.19581 | − | 20.6840i | −0.368374 | − | 0.929678i | ||||
\(496\) | −3.33652 | −0.149814 | ||||||||
\(497\) | −1.83360 | − | 2.52373i | −0.0822480 | − | 0.113205i | ||||
\(498\) | −1.49213 | + | 4.30535i | −0.0668638 | + | 0.192927i | ||||
\(499\) | 4.37564 | − | 13.4668i | 0.195881 | − | 0.602859i | −0.804085 | − | 0.594515i | \(-0.797344\pi\) |
0.999965 | − | 0.00834366i | \(-0.00265590\pi\) | |||||||
\(500\) | −10.9083 | + | 27.3407i | −0.487834 | + | 1.22271i | ||||
\(501\) | 24.4711 | − | 7.42787i | 1.09329 | − | 0.331853i | ||||
\(502\) | 3.28860 | − | 10.1213i | 0.146777 | − | 0.451734i | ||||
\(503\) | 25.6404 | − | 8.33106i | 1.14325 | − | 0.371464i | 0.324652 | − | 0.945834i | \(-0.394753\pi\) |
0.818596 | + | 0.574370i | \(0.194753\pi\) | |||||||
\(504\) | −9.46183 | + | 12.0109i | −0.421463 | + | 0.535006i | ||||
\(505\) | −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 | \(-0.591729\pi\) |
0.333622 | + | 0.942707i | \(0.391729\pi\) | |||||||
\(510\) | 17.7855 | − | 47.9126i | 0.787556 | − | 2.12160i | ||||
\(511\) | 17.5905 | + | 12.7803i | 0.778159 | + | 0.565366i | ||||
\(512\) | 14.3646 | − | 19.7712i | 0.634834 | − | 0.873773i | ||||
\(513\) | 5.87138 | − | 7.16191i | 0.259228 | − | 0.316206i | ||||
\(514\) | −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 | ||||||||
\(519\) | 0.0263643 | − | 1.35455i | 0.00115726 | − | 0.0594582i | ||||
\(520\) | −5.38843 | + | 7.08607i | −0.236298 | + | 0.310745i | ||||
\(521\) | −6.84744 | − | 2.22487i | −0.299992 | − | 0.0974733i | 0.155154 | − | 0.987890i | \(-0.450413\pi\) |
−0.455146 | + | 0.890417i | \(0.650413\pi\) | |||||||
\(522\) | 34.0457 | + | 12.5467i | 1.49014 | + | 0.549153i | ||||
\(523\) | −21.1158 | − | 15.3415i | −0.923328 | − | 0.670837i | 0.0210218 | − | 0.999779i | \(-0.493308\pi\) |
−0.944350 | + | 0.328942i | \(0.893308\pi\) | |||||||
\(524\) | 9.32725 | − | 28.7063i | 0.407463 | − | 1.25404i | ||||
\(525\) | −24.9608 | − | 20.6608i | −1.08938 | − | 0.901712i | ||||
\(526\) | 12.8218 | − | 9.31561i | 0.559058 | − | 0.406180i | ||||
\(527\) | − | 8.76507i | − | 0.381813i | ||||||
\(528\) | 13.3332 | − | 1.39684i | 0.580254 | − | 0.0607897i | ||||
\(529\) | −15.8121 | −0.687482 | ||||||||
\(530\) | −25.0239 | − | 8.73887i | −1.08697 | − | 0.379592i | ||||
\(531\) | 0.0843114 | + | 0.126086i | 0.00365880 | + | 0.00547167i | ||||
\(532\) | −16.6977 | − | 5.42543i | −0.723939 | − | 0.235222i | ||||
\(533\) | 0.600990 | + | 0.436645i | 0.0260318 | + | 0.0189132i | ||||
\(534\) | 1.61383 | + | 5.31674i | 0.0698370 | + | 0.230078i | ||||
\(535\) | −4.84259 | + | 1.45743i | −0.209363 | + | 0.0630101i | ||||
\(536\) | 1.03149 | + | 3.17459i | 0.0445534 | + | 0.137121i | ||||
\(537\) | −0.593513 | + | 30.4936i | −0.0256120 | + | 1.31590i | ||||
\(538\) | 55.0558 | 2.37362 | ||||||||
\(539\) | −9.84514 | − | 21.0212i | −0.424060 | − | 0.905447i | ||||
\(540\) | −7.09185 | − | 29.7579i | −0.305185 | − | 1.28057i | ||||
\(541\) | −0.856788 | − | 1.17927i | −0.0368362 | − | 0.0507007i | 0.790202 | − | 0.612847i | \(-0.209976\pi\) |
−0.827038 | + | 0.562146i | \(0.809976\pi\) | |||||||
\(542\) | 4.13547 | + | 12.7277i | 0.177634 | + | 0.546700i | ||||
\(543\) | −32.9314 | + | 22.9604i | −1.41322 | + | 0.985327i | ||||
\(544\) | 38.4266 | + | 27.9186i | 1.64753 | + | 1.19700i | ||||
\(545\) | −0.682901 | + | 31.2899i | −0.0292523 | + | 1.34031i | ||||
\(546\) | −23.3152 | − | 33.4403i | −0.997799 | − | 1.43111i | ||||
\(547\) | −11.1317 | − | 34.2598i | −0.475956 | − | 1.46484i | −0.844664 | − | 0.535297i | \(-0.820200\pi\) |
0.368708 | − | 0.929545i | \(-0.379800\pi\) | |||||||
\(548\) | 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 | ||||||||
\(552\) | 0.123096 | − | 6.32445i | 0.00523932 | − | 0.269187i | ||||
\(553\) | −31.3359 | + | 10.1817i | −1.33254 | + | 0.432968i | ||||
\(554\) | −27.7562 | − | 9.01853i | −1.17925 | − | 0.383160i | ||||
\(555\) | −8.88635 | + | 11.2257i | −0.377204 | + | 0.476506i | ||||
\(556\) | −12.2424 | + | 16.8503i | −0.519196 | + | 0.714611i | ||||
\(557\) | −43.7447 | − | 14.2135i | −1.85352 | − | 0.602246i | −0.996162 | − | 0.0875319i | \(-0.972102\pi\) |
−0.857362 | − | 0.514714i | \(-0.827898\pi\) | |||||||
\(558\) | −5.13164 | − | 7.67427i | −0.217240 | − | 0.324878i | ||||
\(559\) | −20.4430 | + | 14.8527i | −0.864649 | + | 0.628204i | ||||
\(560\) | 16.0423 | − | 11.1288i | 0.677909 | − | 0.470278i | ||||
\(561\) | 3.66952 | + | 35.0265i | 0.154927 | + | 1.47882i | ||||
\(562\) | − | 24.9021i | − | 1.05043i | ||||||
\(563\) | −10.2627 | − | 14.1254i | −0.432521 | − | 0.595314i | 0.536009 | − | 0.844213i | \(-0.319931\pi\) |
−0.968530 | + | 0.248898i | \(0.919931\pi\) | |||||||
\(564\) | −14.1758 | + | 40.9027i | −0.596911 | + | 1.72231i | ||||
\(565\) | −1.04638 | − | 3.47681i | −0.0440217 | − | 0.146271i | ||||
\(566\) | −8.94634 | + | 12.3136i | −0.376043 | + | 0.517579i | ||||
\(567\) | 33.5715 | + | 2.61864i | 1.40987 | + | 0.109973i | ||||
\(568\) | 0.350966 | − | 1.08016i | 0.0147262 | − | 0.0453226i | ||||
\(569\) | 11.3275 | + | 34.8623i | 0.474872 | + | 1.46150i | 0.846131 | + | 0.532975i | \(0.178926\pi\) |
−0.371259 | + | 0.928529i | \(0.621074\pi\) | |||||||
\(570\) | 12.3702 | − | 8.22952i | 0.518130 | − | 0.344697i | ||||
\(571\) | − | 35.7294i | − | 1.49523i | −0.664134 | − | 0.747614i | \(-0.731200\pi\) | ||
0.664134 | − | 0.747614i | \(-0.268800\pi\) | |||||||
\(572\) | 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 | ||||
\(576\) | 35.9981 | + | 1.40183i | 1.49992 | + | 0.0584095i | ||||
\(577\) | 24.0939 | − | 33.1623i | 1.00304 | − | 1.38057i | 0.0795990 | − | 0.996827i | \(-0.474636\pi\) |
0.923441 | − | 0.383740i | \(-0.125364\pi\) | |||||||
\(578\) | −26.0440 | + | 35.8464i | −1.08329 | + | 1.49101i | ||||
\(579\) | −25.1277 | + | 17.5196i | −1.04427 | + | 0.728088i | ||||
\(580\) | 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 | ||||||||
\(585\) | 19.5690 | + | 1.19016i | 0.809079 | + | 0.0492069i | ||||
\(586\) | −16.3501 | − | 50.3206i | −0.675418 | − | 2.07872i | ||||
\(587\) | 11.1939 | − | 34.4513i | 0.462022 | − | 1.42196i | −0.400667 | − | 0.916224i | \(-0.631222\pi\) |
0.862689 | − | 0.505734i | \(-0.168778\pi\) | |||||||
\(588\) | −9.27018 | − | 30.5406i | −0.382296 | − | 1.25947i | ||||
\(589\) | 1.49775 | − | 2.06148i | 0.0617137 | − | 0.0849416i | ||||
\(590\) | 0.0701280 | + | 0.233014i | 0.00288713 | + | 0.00959304i | ||||
\(591\) | 17.8008 | + | 6.16931i | 0.732227 | + | 0.253772i | ||||
\(592\) | −5.07086 | − | 6.97944i | −0.208411 | − | 0.286853i | ||||
\(593\) | 19.0411i | 0.781923i | 0.920407 | + | 0.390962i | \(0.127857\pi\) | ||||
−0.920407 | + | 0.390962i | \(0.872143\pi\) | |||||||
\(594\) | 23.7197 | + | 28.5191i | 0.973229 | + | 1.17015i | ||||
\(595\) | 29.2355 | + | 42.1432i | 1.19854 | + | 1.72770i | ||||
\(596\) | 14.3330 | − | 10.4135i | 0.587102 | − | 0.426555i | ||||
\(597\) | 14.7980 | − | 42.6978i | 0.605641 | − | 1.74750i | ||||
\(598\) | 16.0397 | + | 5.21163i | 0.655914 | + | 0.213119i | ||||
\(599\) | 14.7038 | − | 20.2381i | 0.600783 | − | 0.826906i | −0.394997 | − | 0.918682i | \(-0.629254\pi\) |
0.995780 | + | 0.0917761i | \(0.0292544\pi\) | |||||||
\(600\) | 0.743949 | − | 11.7736i | 0.0303716 | − | 0.480655i | ||||
\(601\) | 38.8018 | + | 12.6075i | 1.58276 | + | 0.514269i | 0.962765 | − | 0.270338i | \(-0.0871355\pi\) |
0.619993 | + | 0.784608i | \(0.287136\pi\) | |||||||
\(602\) | −66.2218 | + | 21.5168i | −2.69900 | + | 0.876957i | ||||
\(603\) | 4.54908 | − | 5.77461i | 0.185253 | − | 0.235160i | ||||
\(604\) | 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 | −0.853024 | − | 0.521872i | \(-0.825234\pi\) |
0.232731 | + | 0.972541i | \(0.425234\pi\) | |||||||
\(608\) | 4.26699 | + | 13.1325i | 0.173049 | + | 0.532591i | ||||
\(609\) | −29.8709 | + | 20.8266i | −1.21043 | + | 0.843937i | ||||
\(610\) | −13.9719 | − | 0.304937i | −0.565707 | − | 0.0123466i | ||||
\(611\) | −22.4447 | − | 16.3070i | −0.908016 | − | 0.659712i | ||||
\(612\) | −1.88429 | + | 48.3875i | −0.0761681 | + | 1.95595i | ||||
\(613\) | 6.20996 | + | 19.1123i | 0.250818 | + | 0.771938i | 0.994625 | + | 0.103544i | \(0.0330181\pi\) |
−0.743807 | + | 0.668394i | \(0.766982\pi\) | |||||||
\(614\) | −5.82569 | − | 8.01837i | −0.235106 | − | 0.323595i | ||||
\(615\) | −0.983606 | − | 0.0406288i | −0.0396628 | − | 0.00163831i | ||||
\(616\) | 8.17043 | − | 14.7981i | 0.329196 | − | 0.596233i | ||||
\(617\) | 7.20230 | 0.289954 | 0.144977 | − | 0.989435i | \(-0.453689\pi\) | ||||
0.144977 | + | 0.989435i | \(0.453689\pi\) | |||||||
\(618\) | 15.3658 | + | 0.299073i | 0.618105 | + | 0.0120305i | ||||
\(619\) | 12.0091 | + | 36.9603i | 0.482688 | + | 1.48556i | 0.835302 | + | 0.549791i | \(0.185293\pi\) |
−0.352615 | + | 0.935769i | \(0.614707\pi\) | |||||||
\(620\) | −2.42572 | − | 8.05994i | −0.0974194 | − | 0.323695i | ||||
\(621\) | −11.7290 | + | 7.51687i | −0.470670 | + | 0.301642i | ||||
\(622\) | −35.6989 | − | 25.9368i | −1.43140 | − | 1.03997i | ||||
\(623\) | −5.30334 | − | 1.72316i | −0.212474 | − | 0.0690369i | ||||
\(624\) | −3.86847 | + | 11.1620i | −0.154863 | + | 0.446838i | ||||
\(625\) | 24.9048 | + | 2.17938i | 0.996193 | + | 0.0871753i | ||||
\(626\) | 60.6855 | 2.42548 | ||||||||
\(627\) | −5.12219 | + | 8.86500i | −0.204561 | + | 0.354034i | ||||
\(628\) | − | 24.1297i | − | 0.962880i | ||||||
\(629\) | 18.3351 | − | 13.3212i | 0.731067 | − | 0.531152i | ||||
\(630\) | 50.2706 | + | 19.7822i | 2.00283 | + | 0.788141i | ||||
\(631\) | 10.5321 | − | 32.4144i | 0.419275 | − | 1.29040i | −0.489096 | − | 0.872230i | \(-0.662673\pi\) |
0.908371 | − | 0.418165i | \(-0.137327\pi\) | |||||||
\(632\) | −9.70492 | − | 7.05104i | −0.386041 | − | 0.280475i | ||||
\(633\) | 28.3909 | − | 8.61768i | 1.12844 | − | 0.342522i | ||||
\(634\) | −23.8299 | − | 7.74279i | −0.946405 | − | 0.307506i | ||||
\(635\) | 36.0508 | + | 27.4140i | 1.43063 | + | 1.08789i | ||||
\(636\) | 25.1097 | + | 0.488722i | 0.995663 | + | 0.0193791i | ||||
\(637\) | 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 | \(-0.671416\pi\) |
0.0896793 | + | 0.995971i | \(0.471416\pi\) | |||||||
\(642\) | 6.91641 | − | 4.82226i | 0.272969 | − | 0.190319i | ||||
\(643\) | 3.97759 | − | 5.47468i | 0.156861 | − | 0.215900i | −0.723352 | − | 0.690479i | \(-0.757400\pi\) |
0.880213 | + | 0.474579i | \(0.157400\pi\) | |||||||
\(644\) | 21.3666 | + | 15.5237i | 0.841961 | + | 0.611720i | ||||
\(645\) | 11.6534 | − | 31.3933i | 0.458854 | − | 1.23611i | ||||
\(646\) | −22.3675 | + | 7.26765i | −0.880038 | + | 0.285942i | ||||
\(647\) | 30.2310 | − | 21.9641i | 1.18850 | − | 0.863497i | 0.195397 | − | 0.980724i | \(-0.437401\pi\) |
0.993105 | + | 0.117227i | \(0.0374006\pi\) | |||||||
\(648\) | 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 | ||||
\(651\) | 9.26337 | + | 0.180298i | 0.363060 | + | 0.00706642i | ||||
\(652\) | 57.9988 | − | 18.8449i | 2.27141 | − | 0.738025i | ||||
\(653\) | −1.77221 | + | 5.45432i | −0.0693521 | + | 0.213444i | −0.979726 | − | 0.200343i | \(-0.935794\pi\) |
0.910374 | + | 0.413787i | \(0.135794\pi\) | |||||||
\(654\) | −15.1559 | − | 49.9310i | −0.592642 | − | 1.95246i | ||||
\(655\) | −25.6285 | − | 0.559341i | −1.00139 | − | 0.0218553i | ||||
\(656\) | 0.183306 | − | 0.564157i | 0.00715689 | − | 0.0220266i | ||||
\(657\) | 14.4925 | − | 9.69085i | 0.565405 | − | 0.378076i | ||||
\(658\) | −44.9347 | − | 61.8473i | −1.75174 | − | 2.41106i | ||||
\(659\) | −37.5865 | −1.46416 | −0.732081 | − | 0.681217i | \(-0.761451\pi\) | ||||
−0.732081 | + | 0.681217i | \(0.761451\pi\) | |||||||
\(660\) | 13.0679 | + | 31.1932i | 0.508666 | + | 1.21419i | ||||
\(661\) | −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 | ||||
\(663\) | −29.3227 | − | 10.1625i | −1.13880 | − | 0.394680i | ||||
\(664\) | 0.514493 | − | 1.58345i | 0.0199662 | − | 0.0614497i | ||||
\(665\) | −0.325354 | + | 14.9074i | −0.0126167 | + | 0.578085i | ||||
\(666\) | 8.25419 | − | 22.3979i | 0.319843 | − | 0.867903i | ||||
\(667\) | 4.65535 | − | 14.3277i | 0.180256 | − | 0.554771i | ||||
\(668\) | −36.9715 | + | 12.0128i | −1.43047 | + | 0.464788i | ||||
\(669\) | 0.447704 | − | 23.0022i | 0.0173092 | − | 0.889317i | ||||
\(670\) | 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 | −0.503277 | − | 0.864125i | \(-0.667872\pi\) |
0.666311 | + | 0.745674i | \(0.267872\pi\) | |||||||
\(674\) | 29.9952 | − | 9.74602i | 1.15537 | − | 0.375403i | ||||
\(675\) | −22.4649 | + | 13.0509i | −0.864675 | + | 0.502331i | ||||
\(676\) | −9.49701 | − | 6.89998i | −0.365270 | − | 0.265384i | ||||
\(677\) | −2.47930 | + | 3.41247i | −0.0952874 | + | 0.131152i | −0.853999 | − | 0.520275i | \(-0.825829\pi\) |
0.758711 | + | 0.651427i | \(0.225829\pi\) | |||||||
\(678\) | 3.46221 | + | 4.96574i | 0.132965 | + | 0.190708i | ||||
\(679\) | −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 | \(-0.589505\pi\) | ||||
−0.277496 | + | 0.960727i | \(0.589505\pi\) | |||||||
\(684\) | −8.71148 | + | 11.0584i | −0.333092 | + | 0.422827i | ||||
\(685\) | −32.9749 | − | 25.0750i | −1.25991 | − | 0.958066i | ||||
\(686\) | −0.00909827 | − | 0.00295621i | −0.000347374 | − | 0.000112869i | ||||
\(687\) | 6.10229 | + | 20.1040i | 0.232817 | + | 0.767015i | ||||
\(688\) | 16.3241 | + | 11.8602i | 0.622351 | + | 0.452164i | ||||
\(689\) | −4.97370 | + | 15.3075i | −0.189483 | + | 0.583168i | ||||
\(690\) | −21.5228 | + | 6.02331i | −0.819358 | + | 0.229304i | ||||
\(691\) | −27.9241 | + | 20.2881i | −1.06228 | + | 0.771794i | −0.974510 | − | 0.224346i | \(-0.927975\pi\) |
−0.0877744 | + | 0.996140i | \(0.527975\pi\) | |||||||
\(692\) | 2.05943i | 0.0782878i | ||||||||
\(693\) | −37.0933 | + | 3.15763i | −1.40906 | + | 0.119949i | ||||
\(694\) | 19.5992 | 0.743975 | ||||||||
\(695\) | 16.7000 | + | 5.83199i | 0.633467 | + | 0.221220i | ||||
\(696\) | −12.5268 | − | 4.34149i | −0.474829 | − | 0.164564i | ||||
\(697\) | 1.48205 | + | 0.481547i | 0.0561366 | + | 0.0182399i | ||||
\(698\) | −16.8587 | − | 12.2486i | −0.638113 | − | 0.463616i | ||||
\(699\) | 9.32149 | − | 2.82941i | 0.352571 | − | 0.107018i | ||||
\(700\) | 38.5467 | + | 30.6620i | 1.45693 | + | 1.15892i | ||||
\(701\) | 14.2187 | + | 43.7608i | 0.537034 | + | 1.65282i | 0.739212 | + | 0.673473i | \(0.235198\pi\) |
−0.202177 | + | 0.979349i | \(0.564802\pi\) | |||||||
\(702\) | −31.6233 | + | 8.26962i | −1.19355 | + | 0.312117i | ||||
\(703\) | 6.58856 | 0.248492 | ||||||||
\(704\) | −39.5225 | + | 4.91981i | −1.48956 | + | 0.185422i | ||||
\(705\) | 36.7339 | + | 1.51733i | 1.38348 | + | 0.0571461i | ||||
\(706\) | 15.3878 | + | 21.1795i | 0.579129 | + | 0.797103i | ||||
\(707\) | 12.1492 | + | 37.3914i | 0.456918 | + | 1.40625i | ||||
\(708\) | −0.131866 | − | 0.189132i | −0.00495585 | − | 0.00710801i | ||||
\(709\) | 36.7685 | + | 26.7139i | 1.38087 | + | 1.00326i | 0.996798 | + | 0.0799582i | \(0.0254787\pi\) |
0.384072 | + | 0.923303i | \(0.374521\pi\) | |||||||
\(710\) | −4.01187 | − | 0.0875589i | −0.150563 | − | 0.00328603i | ||||
\(711\) | −1.02801 | + | 26.3987i | −0.0385535 | + | 0.990030i | ||||
\(712\) | −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 | ||||||
\(717\) | −24.7589 | − | 0.481896i | −0.924640 | − | 0.0179967i | ||||
\(718\) | −23.5186 | + | 7.64167i | −0.877708 | + | 0.285185i | ||||
\(719\) | 10.0623 | + | 3.26945i | 0.375261 | + | 0.121930i | 0.490574 | − | 0.871399i | \(-0.336787\pi\) |
−0.115313 | + | 0.993329i | \(0.536787\pi\) | |||||||
\(720\) | −3.92491 | − | 15.1551i | −0.146273 | − | 0.564796i | ||||
\(721\) | −9.06603 | + | 12.4783i | −0.337636 | + | 0.464717i | ||||
\(722\) | 32.3917 | + | 10.5247i | 1.20549 | + | 0.391689i | ||||
\(723\) | −20.5889 | − | 7.13558i | −0.765708 | − | 0.265375i | ||||
\(724\) | 49.3701 | − | 35.8695i | 1.83483 | − | 1.33308i | ||||
\(725\) | 9.83956 | − | 26.3163i | 0.365432 | − | 0.977363i | ||||
\(726\) | −30.9857 | − | 26.8630i | −1.14999 | − | 0.996978i | ||||
\(727\) | 11.7037i | 0.434065i | 0.976164 | + | 0.217032i | \(0.0696378\pi\) | ||||
−0.976164 | + | 0.217032i | \(0.930362\pi\) | |||||||
\(728\) | 8.75532 | + | 12.0507i | 0.324494 | + | 0.446627i | ||||
\(729\) | 11.2782 | − | 24.5316i | 0.417712 | − | 0.908580i | ||||
\(730\) | 26.7829 | − | 8.06059i | 0.991280 | − | 0.298336i | ||||
\(731\) | −31.1568 | + | 42.8836i | −1.15238 | + | 1.58611i | ||||
\(732\) | 12.6708 | − | 3.84604i | 0.468325 | − | 0.142154i | ||||
\(733\) | −9.02911 | + | 27.7888i | −0.333498 | + | 1.02640i | 0.633959 | + | 0.773366i | \(0.281429\pi\) |
−0.967457 | + | 0.253035i | \(0.918571\pi\) | |||||||
\(734\) | 0.385408 | + | 1.18616i | 0.0142257 | + | 0.0437821i | ||||
\(735\) | −22.5683 | + | 15.0141i | −0.832445 | + | 0.553802i | ||||
\(736\) | − | 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 | 0.925739 | − | 0.378163i | \(-0.123444\pi\) |
−0.645724 | + | 0.763571i | \(0.723444\pi\) | |||||||
\(740\) | 13.1734 | − | 17.3238i | 0.484265 | − | 0.636834i | ||||
\(741\) | −5.15993 | − | 7.40073i | −0.189555 | − | 0.271873i | ||||
\(742\) | −26.0689 | + | 35.8807i | −0.957018 | + | 1.31722i | ||||
\(743\) | −3.62431 | + | 4.98843i | −0.132963 | + | 0.183008i | −0.870307 | − | 0.492510i | \(-0.836080\pi\) |
0.737344 | + | 0.675517i | \(0.236080\pi\) | |||||||
\(744\) | 1.92927 | + | 2.76709i | 0.0707304 | + | 0.101446i | ||||
\(745\) | −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 | ||||||||
\(750\) | −40.5909 | + | 9.47129i | −1.48217 | + | 0.345843i | ||||
\(751\) | 6.97116 | + | 21.4550i | 0.254381 | + | 0.782905i | 0.993951 | + | 0.109825i | \(0.0350290\pi\) |
−0.739570 | + | 0.673080i | \(0.764971\pi\) | |||||||
\(752\) | −6.84578 | + | 21.0691i | −0.249640 | + | 0.768312i | ||||
\(753\) | 8.19456 | − | 2.48735i | 0.298627 | − | 0.0906441i | ||||
\(754\) | 20.7767 | − | 28.5967i | 0.756644 | − | 1.04143i | ||||
\(755\) | 11.4006 | − | 3.43112i | 0.414909 | − | 0.124871i | ||||
\(756\) | −51.0996 | − | 2.98675i | −1.85847 | − | 0.108627i | ||||
\(757\) | −3.58874 | − | 4.93948i | −0.130435 | − | 0.179528i | 0.738804 | − | 0.673920i | \(-0.235391\pi\) |
−0.869239 | + | 0.494392i | \(0.835391\pi\) | |||||||
\(758\) | − | 8.73291i | − | 0.317194i | ||||||
\(759\) | 11.4489 | − | 10.3016i | 0.415568 | − | 0.373926i | ||||
\(760\) | −4.46058 | + | 3.09438i | −0.161802 | + | 0.112245i | ||||
\(761\) | −22.7069 | + | 16.4975i | −0.823125 | + | 0.598035i | −0.917606 | − | 0.397492i | \(-0.869881\pi\) |
0.0944811 | + | 0.995527i | \(0.469881\pi\) | |||||||
\(762\) | −71.3465 | − | 24.7269i | −2.58461 | − | 0.895761i | ||||
\(763\) | 49.8052 | + | 16.1827i | 1.80307 | + | 0.585852i | ||||
\(764\) | 19.0594 | − | 26.2330i | 0.689544 | − | 0.949077i | ||||
\(765\) | 39.8125 | − | 10.3108i | 1.43943 | − | 0.372787i | ||||
\(766\) | 57.9058 | + | 18.8147i | 2.09222 | + | 0.679803i | ||||
\(767\) | 0.140531 | − | 0.0456612i | 0.00507427 | − | 0.00164873i | ||||
\(768\) | 3.00457 | + | 0.0584795i | 0.108418 | + | 0.00211020i | ||||
\(769\) | − | 23.0642i | − | 0.831717i | −0.909429 | − | 0.415859i | \(-0.863481\pi\) | ||
0.909429 | − | 0.415859i | \(-0.136519\pi\) | |||||||
\(770\) | −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 | −0.969173 | − | 0.246379i | \(-0.920759\pi\) |
0.639260 | − | 0.768991i | \(-0.279241\pi\) | |||||||
\(774\) | −2.17248 | + | 55.7880i | −0.0780883 | + | 2.00526i | ||||
\(775\) | −5.96107 | + | 3.94546i | −0.214128 | + | 0.141725i | ||||
\(776\) | −8.39512 | − | 6.09941i | −0.301367 | − | 0.218956i | ||||
\(777\) | 13.7014 | + | 19.6514i | 0.491534 | + | 0.704992i | ||||
\(778\) | −26.1070 | − | 80.3491i | −0.935982 | − | 2.88066i | ||||
\(779\) | 0.266281 | + | 0.366504i | 0.00954050 | + | 0.0131314i | ||||
\(780\) | −29.7763 | − | 1.22994i | −1.06616 | − | 0.0440389i | ||||
\(781\) | 2.50422 | − | 1.17284i | 0.0896080 | − | 0.0419673i | ||||
\(782\) | 35.3783 | 1.26513 | ||||||||
\(783\) | 7.38695 | + | 28.2480i | 0.263988 | + | 1.00950i | ||||
\(784\) | −5.04725 | − | 15.5338i | −0.180259 | − | 0.554780i | ||||
\(785\) | −19.6236 | + | 5.90593i | −0.700396 | + | 0.210792i | ||||
\(786\) | 40.8968 | − | 12.4137i | 1.45874 | − | 0.442781i | ||||
\(787\) | −2.48490 | − | 1.80539i | −0.0885772 | − | 0.0643551i | 0.542615 | − | 0.839981i | \(-0.317434\pi\) |
−0.631192 | + | 0.775626i | \(0.717434\pi\) | |||||||
\(788\) | −27.2362 | − | 8.84958i | −0.970250 | − | 0.315253i | ||||
\(789\) | 12.0503 | + | 4.17632i | 0.429001 | + | 0.148681i | ||||
\(790\) | −13.9738 | + | 40.0141i | −0.497165 | + | 1.42364i | ||||
\(791\) | −6.07533 | −0.216014 | ||||||||
\(792\) | −8.86809 | − | 10.2500i | −0.315114 | − | 0.364218i | ||||
\(793\) | 8.48622i | 0.301354i | ||||||||
\(794\) | 9.98084 | − | 7.25151i | 0.354207 | − | 0.257346i | ||||
\(795\) | −5.74833 | − | 20.5402i | −0.203872 | − | 0.728485i | ||||
\(796\) | −21.2270 | + | 65.3299i | −0.752371 | + | 2.31556i | ||||
\(797\) | −37.7811 | − | 27.4496i | −1.33827 | − | 0.972313i | −0.999506 | − | 0.0314434i | \(-0.989990\pi\) |
−0.338769 | − | 0.940870i | \(-0.610010\pi\) | |||||||
\(798\) | −7.22072 | − | 23.7886i | −0.255611 | − | 0.842108i | ||||
\(799\) | −55.3489 | − | 17.9839i | −1.95810 | − | 0.636226i | ||||
\(800\) | 1.69009 | − | 38.7008i | 0.0597538 | − | 1.36828i | ||||
\(801\) | −2.76684 | + | 3.51223i | −0.0977614 | + | 0.124099i | ||||
\(802\) | −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 | ||||
\(807\) | 25.3386 | + | 36.3423i | 0.891959 | + | 1.27931i | ||||
\(808\) | −8.41360 | + | 11.5803i | −0.295989 | + | 0.407394i | ||||
\(809\) | 18.7950 | + | 13.6554i | 0.660798 | + | 0.480098i | 0.866932 | − | 0.498426i | \(-0.166088\pi\) |
−0.206134 | + | 0.978524i | \(0.566088\pi\) | |||||||
\(810\) | 28.8213 | − | 32.3365i | 1.01268 | − | 1.13619i | ||||
\(811\) | 28.9165 | − | 9.39553i | 1.01539 | − | 0.329922i | 0.246394 | − | 0.969170i | \(-0.420754\pi\) |
0.769000 | + | 0.639248i | \(0.220754\pi\) | |||||||
\(812\) | 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 | ||||
\(816\) | −0.482235 | + | 24.7764i | −0.0168816 | + | 0.867346i | ||||
\(817\) | −14.6557 | + | 4.76191i | −0.512737 | + | 0.166598i | ||||
\(818\) | −13.2611 | + | 40.8134i | −0.463662 | + | 1.42701i | ||||
\(819\) | 11.3434 | − | 30.7807i | 0.396372 | − | 1.07556i | ||||
\(820\) | 1.49609 | + | 0.0326521i | 0.0522457 | + | 0.00114026i | ||||
\(821\) | 14.0019 | − | 43.0935i | 0.488670 | − | 1.50397i | −0.337924 | − | 0.941174i | \(-0.609725\pi\) |
0.826594 | − | 0.562799i | \(-0.190275\pi\) | |||||||
\(822\) | 65.2591 | + | 22.6172i | 2.27617 | + | 0.788865i | ||||
\(823\) | −16.0956 | − | 22.1537i | −0.561057 | − | 0.772229i | 0.430403 | − | 0.902637i | \(-0.358371\pi\) |
−0.991460 | + | 0.130408i | \(0.958371\pi\) | |||||||
\(824\) | −5.61560 | −0.195629 | ||||||||
\(825\) | 22.1696 | − | 18.2623i | 0.771845 | − | 0.635811i | ||||
\(826\) | 0.407166 | 0.0141671 | ||||||||
\(827\) | 0.625494 | + | 0.860919i | 0.0217506 | + | 0.0299371i | 0.819754 | − | 0.572716i | \(-0.194110\pi\) |
−0.798003 | + | 0.602653i | \(0.794110\pi\) | |||||||
\(828\) | 17.6035 | − | 11.7711i | 0.611763 | − | 0.409075i | ||||
\(829\) | −6.99269 | + | 21.5213i | −0.242866 | + | 0.747466i | 0.753114 | + | 0.657890i | \(0.228551\pi\) |
−0.995980 | + | 0.0895753i | \(0.971449\pi\) | |||||||
\(830\) | −5.88113 | − | 0.128355i | −0.204137 | − | 0.00445528i | ||||
\(831\) | −6.82121 | − | 22.4725i | −0.236625 | − | 0.779561i | ||||
\(832\) | 10.8451 | − | 33.3778i | 0.375986 | − | 1.15717i | ||||
\(833\) | 40.8076 | − | 13.2592i | 1.41390 | − | 0.459404i | ||||
\(834\) | −29.4865 | − | 0.573911i | −1.02103 | − | 0.0198729i | ||||
\(835\) | 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 | \(-0.533222\pi\) |
0.500304 | + | 0.865850i | \(0.333222\pi\) | |||||||
\(840\) | −18.5056 | − | 6.86941i | −0.638503 | − | 0.237017i | ||||
\(841\) | −2.08289 | − | 1.51331i | −0.0718238 | − | 0.0521830i | ||||
\(842\) | 5.36495 | − | 7.38422i | 0.184888 | − | 0.254477i | ||||
\(843\) | 16.4379 | − | 11.4608i | 0.566150 | − | 0.394731i | ||||
\(844\) | −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 | ||||||||
\(849\) | −12.2456 | − | 0.238342i | −0.420268 | − | 0.00817989i | ||||
\(850\) | 65.9162 | + | 2.87861i | 2.26091 | + | 0.0987355i | ||||
\(851\) | −9.42588 | − | 3.06265i | −0.323115 | − | 0.104986i | ||||
\(852\) | 3.63825 | − | 1.10434i | 0.124644 | − | 0.0378341i | ||||
\(853\) | −2.31993 | − | 1.68553i | −0.0794328 | − | 0.0577113i | 0.547360 | − | 0.836897i | \(-0.315633\pi\) |
−0.626793 | + | 0.779186i | \(0.715633\pi\) | |||||||
\(854\) | −7.22609 | + | 22.2396i | −0.247272 | + | 0.761024i | ||||
\(855\) | 11.1255 | + | 4.37803i | 0.380483 | + | 0.149726i | ||||
\(856\) | −2.49242 | + | 1.81085i | −0.0851893 | + | 0.0618937i | ||||
\(857\) | − | 35.7793i | − | 1.22220i | −0.791554 | − | 0.611099i | \(-0.790728\pi\) | ||
0.791554 | − | 0.611099i | \(-0.209272\pi\) | |||||||
\(858\) | 33.0173 | − | 14.6869i | 1.12719 | − | 0.501404i | ||||
\(859\) | −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 | ||||
\(861\) | −0.539408 | + | 1.55640i | −0.0183830 | + | 0.0530419i | ||||
\(862\) | −53.1108 | − | 17.2568i | −1.80896 | − | 0.587767i | ||||
\(863\) | 22.2719 | + | 16.1815i | 0.758144 | + | 0.550824i | 0.898340 | − | 0.439300i | \(-0.144773\pi\) |
−0.140197 | + | 0.990124i | \(0.544773\pi\) | |||||||
\(864\) | 21.7220 | + | 33.8941i | 0.738997 | + | 1.15310i | ||||
\(865\) | 1.67484 | − | 0.504061i | 0.0569463 | − | 0.0171386i | ||||
\(866\) | 1.49934 | + | 4.61450i | 0.0509497 | + | 0.156807i | ||||
\(867\) | −35.6485 | − | 0.693845i | −1.21069 | − | 0.0235642i | ||||
\(868\) | −14.0838 | −0.478036 | ||||||||
\(869\) | −3.60788 | − | 28.9833i | −0.122389 | − | 0.983192i | ||||
\(870\) | −1.93323 | + | 46.8026i | −0.0655426 | + | 1.58676i | ||||
\(871\) | −4.20940 | − | 5.79375i | −0.142630 | − | 0.196314i | ||||
\(872\) | 5.89180 | + | 18.1331i | 0.199522 | + | 0.614065i | ||||
\(873\) | −0.889270 | + | 22.8359i | −0.0300972 | + | 0.772878i | ||||
\(874\) | 8.32070 | + | 6.04534i | 0.281452 | + | 0.204487i | ||||
\(875\) | 15.5014 | − | 38.8530i | 0.524044 | − | 1.31347i | ||||
\(876\) | −21.7390 | + | 15.1569i | −0.734494 | + | 0.512103i | ||||
\(877\) | −1.44357 | − | 4.44286i | −0.0487460 | − | 0.150025i | 0.923721 | − | 0.383067i | \(-0.125132\pi\) |
−0.972467 | + | 0.233042i | \(0.925132\pi\) | |||||||
\(878\) | −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 | \(-0.00188352\pi\) | |||||||
\(882\) | 27.9663 | − | 35.5005i | 0.941676 | − | 1.19537i | ||||
\(883\) | −1.22742 | + | 0.398811i | −0.0413058 | + | 0.0134211i | −0.329597 | − | 0.944122i | \(-0.606913\pi\) |
0.288291 | + | 0.957543i | \(0.406913\pi\) | |||||||
\(884\) | 44.8654 | + | 14.5777i | 1.50899 | + | 0.490300i | ||||
\(885\) | −0.121537 | + | 0.153532i | −0.00408542 | + | 0.00516094i | ||||
\(886\) | −10.3338 | + | 14.2233i | −0.347171 | + | 0.477841i | ||||
\(887\) | −8.11955 | − | 2.63820i | −0.272628 | − | 0.0885822i | 0.169512 | − | 0.985528i | \(-0.445781\pi\) |
−0.442140 | + | 0.896946i | \(0.645781\pi\) | |||||||
\(888\) | −2.85617 | + | 8.24114i | −0.0958469 | + | 0.276555i | ||||
\(889\) | 61.3085 | − | 44.5432i | 2.05622 | − | 1.49393i | ||||
\(890\) | −5.89379 | + | 4.08862i | −0.197560 | + | 0.137051i | ||||
\(891\) | −7.90887 | + | 28.7828i | −0.264957 | + | 0.964260i | ||||
\(892\) | 34.9721i | 1.17095i | ||||||||
\(893\) | −9.94458 | − | 13.6875i | −0.332783 | − | 0.458036i | ||||
\(894\) | 23.7030 | + | 8.21487i | 0.792747 | + | 0.274746i | ||||
\(895\) | −37.7040 | + | 11.3474i | −1.26031 | + | 0.379302i | ||||
\(896\) | 22.7662 | − | 31.3350i | 0.760566 | − | 1.04683i | ||||
\(897\) | 3.94184 | + | 12.9864i | 0.131614 | + | 0.433603i | ||||
\(898\) | −18.3388 | + | 56.4412i | −0.611975 | + | 1.88347i | ||||
\(899\) | 2.48254 | + | 7.64047i | 0.0827973 | + | 0.254824i | ||||
\(900\) | 33.7562 | − | 20.4994i | 1.12521 | − | 0.683313i | ||||
\(901\) | 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 | ||||
\(906\) | −16.2828 | + | 11.3527i | −0.540960 | + | 0.377168i | ||||
\(907\) | −27.1646 | + | 37.3889i | −0.901986 | + | 1.24148i | 0.0678437 | + | 0.997696i | \(0.478388\pi\) |
−0.969830 | + | 0.243782i | \(0.921612\pi\) | |||||||
\(908\) | 3.84926 | − | 5.29805i | 0.127742 | − | 0.175822i | ||||
\(909\) | 31.5001 | + | 1.22667i | 1.04479 | + | 0.0406860i | ||||
\(910\) | 31.8559 | − | 41.8922i | 1.05601 | − | 1.38871i | ||||
\(911\) | 9.37828 | + | 12.9081i | 0.310716 | + | 0.427664i | 0.935604 | − | 0.353050i | \(-0.114855\pi\) |
−0.624888 | + | 0.780714i | \(0.714855\pi\) | |||||||
\(912\) | −4.34713 | + | 5.74480i | −0.143948 | + | 0.190229i | ||||
\(913\) | 3.67102 | − | 1.71930i | 0.121493 | − | 0.0569005i | ||||
\(914\) | 34.7595i | 1.14974i | ||||||||
\(915\) | −6.22907 | − | 9.36321i | −0.205927 | − | 0.309538i | ||||
\(916\) | −9.86897 | − | 30.3736i | −0.326080 | − | 1.00357i | ||||
\(917\) | −13.2547 | + | 40.7937i | −0.437708 | + | 1.34713i | ||||
\(918\) | −57.7294 | + | 36.9974i | −1.90535 | + | 1.22110i | ||||
\(919\) | 12.0626 | − | 16.6027i | 0.397908 | − | 0.547674i | −0.562309 | − | 0.826927i | \(-0.690087\pi\) |
0.960218 | + | 0.279253i | \(0.0900869\pi\) | |||||||
\(920\) | 7.81990 | − | 2.35348i | 0.257815 | − | 0.0775920i | ||||
\(921\) | 2.61174 | − | 7.53585i | 0.0860597 | − | 0.248315i | ||||
\(922\) | 40.3928 | + | 55.5959i | 1.33027 | + | 1.83095i | ||||
\(923\) | 2.43671i | 0.0802053i | ||||||||
\(924\) | 56.2811 | − | 5.89623i | 1.85151 | − | 0.193972i | ||||
\(925\) | −17.3129 | − | 6.47323i | −0.569246 | − | 0.212839i | ||||
\(926\) | −65.0369 | + | 47.2520i | −2.13724 | + | 1.55280i | ||||
\(927\) | 6.87446 | + | 10.2806i | 0.225787 | + | 0.337660i | ||||
\(928\) | −41.4037 | − | 13.4529i | −1.35914 | − | 0.441612i | ||||
\(929\) | 23.2015 | − | 31.9342i | 0.761218 | − | 1.04773i | −0.235894 | − | 0.971779i | \(-0.575802\pi\) |
0.997112 | − | 0.0759474i | \(-0.0241981\pi\) | |||||||
\(930\) | 7.39740 | − | 9.34481i | 0.242570 | − | 0.306428i | ||||
\(931\) | 11.8633 | + | 3.85463i | 0.388805 | + | 0.126330i | ||||
\(932\) | −14.0831 | + | 4.57589i | −0.461308 | + | 0.149888i | ||||
\(933\) | 0.690990 | − | 35.5018i | 0.0226220 | − | 1.16228i | ||||
\(934\) | − | 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 | 0.360144 | − | 0.932897i | \(-0.382727\pi\) |
0.998528 | − | 0.0542367i | \(-0.0172725\pi\) | |||||||
\(938\) | −6.09805 | − | 18.7679i | −0.199108 | − | 0.612792i | ||||
\(939\) | 27.9295 | + | 40.0584i | 0.911445 | + | 1.30726i | ||||
\(940\) | −55.8732 | − | 1.21943i | −1.82238 | − | 0.0397735i | ||||
\(941\) | −9.79828 | − | 7.11887i | −0.319415 | − | 0.232068i | 0.416511 | − | 0.909131i | \(-0.363253\pi\) |
−0.735926 | + | 0.677062i | \(0.763253\pi\) | |||||||
\(942\) | 28.0273 | − | 19.5412i | 0.913179 | − | 0.636687i | ||||
\(943\) | −0.210586 | − | 0.648116i | −0.00685762 | − | 0.0211056i | ||||
\(944\) | −0.0693533 | − | 0.0954567i | −0.00225726 | − | 0.00310685i | ||||
\(945\) | 10.0780 | + | 42.2880i | 0.327838 | + | 1.37563i | ||||
\(946\) | −7.62448 | − | 61.2500i | −0.247893 | − | 1.99141i | ||||
\(947\) | −23.6412 | −0.768235 | −0.384118 | − | 0.923284i | \(-0.625494\pi\) | ||||
−0.384118 | + | 0.923284i | \(0.625494\pi\) | |||||||
\(948\) | 0.781485 | − | 40.1513i | 0.0253814 | − | 1.30405i | ||||
\(949\) | −5.24834 | − | 16.1527i | −0.170368 | − | 0.524340i | ||||
\(950\) | 15.0111 | + | 11.9406i | 0.487024 | + | 0.387404i | ||||
\(951\) | −5.85630 | − | 19.2936i | −0.189904 | − | 0.625637i | ||||
\(952\) | 25.2788 | + | 18.3662i | 0.819292 | + | 0.595251i | ||||
\(953\) | 1.48786 | + | 0.483434i | 0.0481964 | + | 0.0156600i | 0.333016 | − | 0.942921i | \(-0.391934\pi\) |
−0.284820 | + | 0.958581i | \(0.591934\pi\) | |||||||
\(954\) | 19.7671 | + | 29.5614i | 0.639985 | + | 0.957084i | ||||
\(955\) | −25.9990 | − | 9.07941i | −0.841309 | − | 0.293803i | ||||
\(956\) | 37.6430 | 1.21746 | ||||||||
\(957\) | −13.1193 | − | 29.4931i | −0.424087 | − | 0.953378i | ||||
\(958\) | 26.7801i | 0.865225i | ||||||||
\(959\) | −56.0776 | + | 40.7428i | −1.81084 | + | 1.31565i | ||||
\(960\) | 12.5342 | + | 44.7877i | 0.404539 | + | 1.44552i | ||||
\(961\) | −8.94788 | + | 27.5388i | −0.288641 | + | 0.888347i | ||||
\(962\) | −18.8132 | − | 13.6686i | −0.606561 | − | 0.440692i | ||||
\(963\) | 6.36633 | + | 2.34615i | 0.205152 | + | 0.0756036i | ||||
\(964\) | 31.5021 | + | 10.2356i | 1.01461 | + | 0.329668i | ||||
\(965\) | −31.4787 | − | 23.9372i | −1.01334 | − | 0.770566i | ||||
\(966\) | −0.727732 | + | 37.3896i | −0.0234144 | + | 1.20299i | ||||
\(967\) | −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 | \(-0.470418\pi\) |
0.660327 | + | 0.750978i | \(0.270418\pi\) | |||||||
\(972\) | −16.4150 | + | 37.6169i | −0.526512 | + | 1.20656i | ||||
\(973\) | 17.3974 | − | 23.9454i | 0.557734 | − | 0.767655i | ||||
\(974\) | −52.1219 | − | 37.8688i | −1.67009 | − | 1.21339i | ||||
\(975\) | 6.28771 | + | 24.5167i | 0.201368 | + | 0.785163i | ||||
\(976\) | 6.44473 | − | 2.09402i | 0.206291 | − | 0.0670279i | ||||
\(977\) | 16.9336 | − | 12.3030i | 0.541753 | − | 0.393607i | −0.282983 | − | 0.959125i | \(-0.591324\pi\) |
0.824736 | + | 0.565518i | \(0.191324\pi\) | |||||||
\(978\) | 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 | ||||
\(981\) | 25.9842 | − | 32.9843i | 0.829610 | − | 1.05311i | ||||
\(982\) | −31.9176 | + | 10.3706i | −1.01853 | + | 0.330940i | ||||
\(983\) | 8.85080 | − | 27.2400i | 0.282297 | − | 0.868820i | −0.704899 | − | 0.709307i | \(-0.749008\pi\) |
0.987196 | − | 0.159512i | \(-0.0509921\pi\) | |||||||
\(984\) | −0.573867 | + | 0.174190i | −0.0182942 | + | 0.00555297i | ||||
\(985\) | −0.530696 | + | 24.3160i | −0.0169094 | + | 0.774772i | ||||
\(986\) | 22.9133 | − | 70.5198i | 0.729707 | − | 2.24581i | ||||
\(987\) | 20.1449 | − | 58.1255i | 0.641218 | − | 1.85016i | ||||
\(988\) | 8.06100 | + | 11.0950i | 0.256455 | + | 0.352980i | ||||
\(989\) | 23.1806 | 0.737100 | ||||||||
\(990\) | −25.6489 | + | 40.4402i | −0.815175 | + | 1.28527i | ||||
\(991\) | 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 | ||||
\(993\) | −15.4884 | + | 44.6898i | −0.491508 | + | 1.41819i | ||||
\(994\) | −2.07488 | + | 6.38582i | −0.0658112 | + | 0.202546i | ||||
\(995\) | 58.3253 | + | 1.27295i | 1.84904 | + | 0.0403552i | ||||
\(996\) | 5.33343 | − | 1.61889i | 0.168996 | − | 0.0512965i | ||||
\(997\) | −2.41532 | + | 7.43359i | −0.0764939 | + | 0.235424i | −0.981991 | − | 0.188929i | \(-0.939498\pi\) |
0.905497 | + | 0.424353i | \(0.139498\pi\) | |||||||
\(998\) | −28.9862 | + | 9.41818i | −0.917542 | + | 0.298127i | ||||
\(999\) | 18.5837 | − | 4.85971i | 0.587963 | − | 0.153755i |
(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.74.4 | yes | 80 | |
3.2 | odd | 2 | inner | 165.2.r.a.74.18 | yes | 80 | |
5.2 | odd | 4 | 825.2.bi.h.701.17 | 80 | |||
5.3 | odd | 4 | 825.2.bi.h.701.4 | 80 | |||
5.4 | even | 2 | inner | 165.2.r.a.74.17 | yes | 80 | |
11.7 | odd | 10 | inner | 165.2.r.a.29.3 | ✓ | 80 | |
15.2 | even | 4 | 825.2.bi.h.701.3 | 80 | |||
15.8 | even | 4 | 825.2.bi.h.701.18 | 80 | |||
15.14 | odd | 2 | inner | 165.2.r.a.74.3 | yes | 80 | |
33.29 | even | 10 | inner | 165.2.r.a.29.17 | yes | 80 | |
55.7 | even | 20 | 825.2.bi.h.326.3 | 80 | |||
55.18 | even | 20 | 825.2.bi.h.326.18 | 80 | |||
55.29 | odd | 10 | inner | 165.2.r.a.29.18 | yes | 80 | |
165.29 | even | 10 | inner | 165.2.r.a.29.4 | yes | 80 | |
165.62 | odd | 20 | 825.2.bi.h.326.17 | 80 | |||
165.128 | odd | 20 | 825.2.bi.h.326.4 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.r.a.29.3 | ✓ | 80 | 11.7 | odd | 10 | inner | |
165.2.r.a.29.4 | yes | 80 | 165.29 | even | 10 | inner | |
165.2.r.a.29.17 | yes | 80 | 33.29 | even | 10 | inner | |
165.2.r.a.29.18 | yes | 80 | 55.29 | odd | 10 | inner | |
165.2.r.a.74.3 | yes | 80 | 15.14 | odd | 2 | inner | |
165.2.r.a.74.4 | yes | 80 | 1.1 | even | 1 | trivial | |
165.2.r.a.74.17 | yes | 80 | 5.4 | even | 2 | inner | |
165.2.r.a.74.18 | yes | 80 | 3.2 | odd | 2 | inner | |
825.2.bi.h.326.3 | 80 | 55.7 | even | 20 | |||
825.2.bi.h.326.4 | 80 | 165.128 | odd | 20 | |||
825.2.bi.h.326.17 | 80 | 165.62 | odd | 20 | |||
825.2.bi.h.326.18 | 80 | 55.18 | even | 20 | |||
825.2.bi.h.701.3 | 80 | 15.2 | even | 4 | |||
825.2.bi.h.701.4 | 80 | 5.3 | odd | 4 | |||
825.2.bi.h.701.17 | 80 | 5.2 | odd | 4 | |||
825.2.bi.h.701.18 | 80 | 15.8 | even | 4 |