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 | 29.17 | ||
Character | \(\chi\) | \(=\) | 165.29 |
Dual form | 165.2.r.a.74.17 |
$q$-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 | \(-0.0752876\pi\) | |||||||
\(3\) | −0.567188 | − | 1.63655i | −0.327466 | − | 0.944863i | ||||
\(4\) | −0.813603 | − | 2.50401i | −0.406802 | − | 1.25201i | ||||
\(5\) | −0.737221 | + | 2.11104i | −0.329695 | + | 0.944087i | ||||
\(6\) | −3.56737 | − | 1.08283i | −1.45637 | − | 0.442062i | ||||
\(7\) | −1.15619 | − | 3.55838i | −0.436997 | − | 1.34494i | −0.891026 | − | 0.453953i | \(-0.850014\pi\) |
0.454028 | − | 0.890987i | \(-0.349986\pi\) | |||||||
\(8\) | −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 | \(-0.167172\pi\) |
−0.209463 | + | 0.977817i | \(0.567172\pi\) | |||||||
\(14\) | −7.65909 | − | 2.48859i | −2.04698 | − | 0.665104i | ||||
\(15\) | 3.87297 | + | 0.00914202i | 0.999997 | + | 0.00236046i | ||||
\(16\) | 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 | \(0.533185\pi\) | |||||||
\(18\) | 0.251266 | + | 6.45234i | 0.0592239 | + | 1.52083i | ||||
\(19\) | −1.69505 | − | 0.550755i | −0.388871 | − | 0.126352i | 0.108055 | − | 0.994145i | \(-0.465538\pi\) |
−0.496926 | + | 0.867793i | \(0.665538\pi\) | |||||||
\(20\) | 5.88589 | + | 0.128459i | 1.31612 | + | 0.0287244i | ||||
\(21\) | −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 | \(0.590174\pi\) | |||||||
\(24\) | 0.0459138 | + | 2.35897i | 0.00937211 | + | 0.481522i | ||||
\(25\) | −3.91301 | − | 3.11261i | −0.782602 | − | 0.622522i | ||||
\(26\) | 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 | 0.972582 | + | 0.232561i | \(0.0747105\pi\) |
−0.650139 | + | 0.759815i | \(0.725289\pi\) | |||||||
\(30\) | 4.91583 | − | 6.73259i | 0.897504 | − | 1.22920i | ||||
\(31\) | −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 | ||||||
\(33\) | −4.27034 | − | 3.84243i | −0.743370 | − | 0.668880i | ||||
\(34\) | 13.1958 | 2.26306 | ||||||||
\(35\) | 8.36425 | + | 0.182550i | 1.41382 | + | 0.0308565i | ||||
\(36\) | 6.56594 | + | 4.39053i | 1.09432 | + | 0.731754i | ||||
\(37\) | 3.51577 | − | 1.14234i | 0.577990 | − | 0.187800i | −0.00541019 | − | 0.999985i | \(-0.501722\pi\) |
0.583400 | + | 0.812185i | \(0.301722\pi\) | |||||||
\(38\) | −3.10355 | + | 2.25486i | −0.503462 | + | 0.365787i | ||||
\(39\) | 1.47027 | − | 4.84381i | 0.235432 | − | 0.775630i | ||||
\(40\) | 1.84373 | − | 2.42461i | 0.291520 | − | 0.383364i | ||||
\(41\) | −0.0785467 | + | 0.241742i | −0.0122669 | + | 0.0377537i | −0.957003 | − | 0.290079i | \(-0.906318\pi\) |
0.944736 | + | 0.327833i | \(0.106318\pi\) | |||||||
\(42\) | 0.271438 | + | 13.9460i | 0.0418838 | + | 2.15191i | ||||
\(43\) | −8.64616 | −1.31853 | −0.659264 | − | 0.751912i | \(-0.729132\pi\) | ||||
−0.659264 | + | 0.751912i | \(0.729132\pi\) | |||||||
\(44\) | −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 | \(0.856584\pi\) | |||||||
\(48\) | −3.31576 | − | 2.31181i | −0.478588 | − | 0.333681i | ||||
\(49\) | −5.66216 | + | 4.11380i | −0.808880 | + | 0.587686i | ||||
\(50\) | −10.3707 | + | 2.87593i | −1.46663 | + | 0.406718i | ||||
\(51\) | 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 | \(-0.423470\pi\) |
−0.850118 | + | 0.526592i | \(0.823470\pi\) | |||||||
\(54\) | 10.4171 | − | 4.07090i | 1.41758 | − | 0.553979i | ||||
\(55\) | 1.24368 | + | 7.31117i | 0.167697 | + | 0.985839i | ||||
\(56\) | 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 | −0.312145 | − | 0.950034i | \(-0.601048\pi\) |
0.305885 | + | 0.952068i | \(0.401048\pi\) | |||||||
\(60\) | −3.12817 | − | 9.70541i | −0.403845 | − | 1.25296i | ||||
\(61\) | 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 | ||||
\(63\) | 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 | ||||
\(70\) | 10.9000 | − | 14.3340i | 1.30279 | − | 1.71324i | ||||
\(71\) | 0.490070 | + | 0.674523i | 0.0581606 | + | 0.0800512i | 0.837107 | − | 0.547040i | \(-0.184245\pi\) |
−0.778946 | + | 0.627091i | \(0.784245\pi\) | |||||||
\(72\) | 3.83453 | − | 1.41312i | 0.451903 | − | 0.166537i | ||||
\(73\) | 1.79580 | + | 5.52690i | 0.210182 | + | 0.646875i | 0.999461 | + | 0.0328393i | \(0.0104549\pi\) |
−0.789278 | + | 0.614036i | \(0.789545\pi\) | |||||||
\(74\) | 2.45879 | − | 7.56739i | 0.285829 | − | 0.879691i | ||||
\(75\) | −2.87454 | + | 8.16927i | −0.331923 | + | 0.943307i | ||||
\(76\) | 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 | \(0.364975\pi\) | |||||||
\(80\) | 1.50389 | + | 4.99695i | 0.168139 | + | 0.558676i | ||||
\(81\) | 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 | \(-0.221368\pi\) |
−0.846623 | + | 0.532194i | \(0.821368\pi\) | |||||||
\(84\) | 13.9962 | + | 9.75843i | 1.52711 | + | 1.06473i | ||||
\(85\) | −13.1271 | + | 3.95073i | −1.42383 | + | 0.428516i | ||||
\(86\) | −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 | \(0.0251695\pi\) | ||||
−0.996875 | + | 0.0789901i | \(0.974830\pi\) | |||||||
\(90\) | −13.8064 | − | 4.22637i | −1.45532 | − | 0.445499i | ||||
\(91\) | 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 | ||||
\(95\) | 2.41229 | − | 3.17229i | 0.247496 | − | 0.325470i | ||||
\(96\) | −12.6792 | + | 4.39431i | −1.29407 | + | 0.448492i | ||||
\(97\) | 4.47759 | − | 6.16287i | 0.454630 | − | 0.625745i | −0.518754 | − | 0.854924i | \(-0.673604\pi\) |
0.973384 | + | 0.229179i | \(0.0736040\pi\) | |||||||
\(98\) | 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 | 0.0781161 | − | 0.996944i | \(-0.475110\pi\) |
−0.924011 | + | 0.382366i | \(0.875110\pi\) | |||||||
\(102\) | −7.48450 | − | 21.5956i | −0.741076 | − | 2.13828i | ||||
\(103\) | 3.92066 | − | 1.27390i | 0.386314 | − | 0.125521i | −0.109420 | − | 0.993996i | \(-0.534899\pi\) |
0.495734 | + | 0.868475i | \(0.334899\pi\) | |||||||
\(104\) | −2.34006 | − | 3.22081i | −0.229462 | − | 0.315827i | ||||
\(105\) | −4.44535 | − | 13.7921i | −0.433822 | − | 1.34597i | ||||
\(106\) | −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 | \(0.565133\pi\) | |||||||
\(108\) | 3.46120 | − | 13.2357i | 0.333054 | − | 1.27361i | ||||
\(109\) | − | 13.9966i | − | 1.34063i | −0.742076 | − | 0.670315i | \(-0.766159\pi\) | ||
0.742076 | − | 0.670315i | \(-0.233841\pi\) | |||||||
\(110\) | 14.3047 | + | 7.08411i | 1.36390 | + | 0.675444i | ||||
\(111\) | −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 | \(0.0756652\pi\) | |||||||
\(114\) | 5.45049 | + | 3.80019i | 0.510485 | + | 0.355920i | ||||
\(115\) | 1.97651 | − | 5.65976i | 0.184310 | − | 0.527776i | ||||
\(116\) | 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 | ||||
\(120\) | −5.01373 | − | 1.64215i | −0.457689 | − | 0.149907i | ||||
\(121\) | 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 | ||||
\(125\) | 9.45561 | − | 5.96585i | 0.845736 | − | 0.533602i | ||||
\(126\) | 22.6694 | − | 8.35421i | 2.01955 | − | 0.744252i | ||||
\(127\) | −16.3861 | + | 11.9052i | −1.45403 | + | 1.05641i | −0.469161 | + | 0.883112i | \(0.655444\pi\) |
−0.984869 | + | 0.173302i | \(0.944556\pi\) | |||||||
\(128\) | −9.84539 | + | 3.19896i | −0.870218 | + | 0.282751i | ||||
\(129\) | 4.90400 | + | 14.1499i | 0.431773 | + | 1.24583i | ||||
\(130\) | −0.306920 | + | 14.0628i | −0.0269187 | + | 1.23339i | ||||
\(131\) | −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 | ||||
\(135\) | −9.14401 | + | 7.16848i | −0.786991 | + | 0.616965i | ||||
\(136\) | −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 | \(0.00935241\pi\) | |||||||
\(138\) | 9.56421 | + | 2.90309i | 0.814160 | + | 0.247127i | ||||
\(139\) | 7.52360 | − | 2.44457i | 0.638143 | − | 0.207345i | 0.0279644 | − | 0.999609i | \(-0.491098\pi\) |
0.610179 | + | 0.792264i | \(0.291098\pi\) | |||||||
\(140\) | −6.34808 | − | 21.0927i | −0.536510 | − | 1.78266i | ||||
\(141\) | 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 | ||||
\(145\) | −12.5618 | − | 0.274160i | −1.04320 | − | 0.0227678i | ||||
\(146\) | 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 | −0.788006 | − | 0.615668i | \(-0.788886\pi\) |
0.342028 | + | 0.939690i | \(0.388886\pi\) | |||||||
\(150\) | 10.5887 | + | 15.3409i | 0.864566 | + | 1.25258i | ||||
\(151\) | 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 | ||||
\(156\) | −13.3252 | + | 0.259355i | −1.06687 | + | 0.0207650i | ||||
\(157\) | 8.71622 | + | 2.83207i | 0.695630 | + | 0.226024i | 0.635426 | − | 0.772162i | \(-0.280825\pi\) |
0.0602045 | + | 0.998186i | \(0.480825\pi\) | |||||||
\(158\) | 5.85731 | + | 18.0270i | 0.465983 | + | 1.43415i | ||||
\(159\) | −2.77055 | + | 9.12757i | −0.219719 | + | 0.723863i | ||||
\(160\) | 16.3554 | + | 5.71165i | 1.29301 | + | 0.451545i | ||||
\(161\) | 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 | 0.192668 | − | 0.981264i | \(-0.438286\pi\) |
0.873700 | − | 0.486465i | \(-0.161714\pi\) | |||||||
\(164\) | 0.669231 | 0.0522581 | ||||||||
\(165\) | 11.2597 | − | 6.18215i | 0.876567 | − | 0.481280i | ||||
\(166\) | −2.63075 | −0.204186 | ||||||||
\(167\) | −8.67860 | + | 11.9451i | −0.671570 | + | 0.924337i | −0.999795 | − | 0.0202628i | \(-0.993550\pi\) |
0.328225 | + | 0.944600i | \(0.393550\pi\) | |||||||
\(168\) | 8.34101 | − | 2.89078i | 0.643523 | − | 0.223029i | ||||
\(169\) | −1.37779 | − | 4.24039i | −0.105983 | − | 0.326184i | ||||
\(170\) | −9.72822 | + | 27.8569i | −0.746121 | + | 2.13653i | ||||
\(171\) | 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 | \(-0.409466\pi\) |
−0.337160 | + | 0.941447i | \(0.609466\pi\) | |||||||
\(174\) | −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 | −0.393189 | − | 0.919458i | \(-0.628628\pi\) |
−0.858540 | + | 0.512746i | \(0.828628\pi\) | |||||||
\(180\) | −14.1091 | + | 10.6242i | −1.05163 | + | 0.791881i | ||||
\(181\) | −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 | ||||
\(183\) | 2.87643 | − | 4.12557i | 0.212632 | − | 0.304971i | ||||
\(184\) | 3.47337 | + | 1.12857i | 0.256060 | + | 0.0831990i | ||||
\(185\) | −0.180364 | + | 8.26411i | −0.0132606 | + | 0.607589i | ||||
\(186\) | 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 | ||||
\(190\) | −2.47211 | − | 8.21406i | −0.179346 | − | 0.595910i | ||||
\(191\) | −11.7130 | + | 3.80577i | −0.847519 | + | 0.275376i | −0.700407 | − | 0.713744i | \(-0.746998\pi\) |
−0.147113 | + | 0.989120i | \(0.546998\pi\) | |||||||
\(192\) | −6.04117 | + | 19.9026i | −0.435984 | + | 1.43635i | ||||
\(193\) | 14.3079 | − | 10.3953i | 1.02991 | − | 0.748272i | 0.0616173 | − | 0.998100i | \(-0.480374\pi\) |
0.968290 | + | 0.249828i | \(0.0803742\pi\) | |||||||
\(194\) | −5.06679 | − | 15.5940i | −0.363775 | − | 1.11958i | ||||
\(195\) | 9.14157 | + | 6.67477i | 0.654642 | + | 0.477990i | ||||
\(196\) | 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 | \(0.124283\pi\) | |||||||
\(200\) | 3.75921 | + | 5.67967i | 0.265816 | + | 0.401613i | ||||
\(201\) | 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 | ||||
\(205\) | −0.452421 | − | 0.344033i | −0.0315985 | − | 0.0240283i | ||||
\(206\) | 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 | ||||
\(210\) | −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 | ||||
\(213\) | 0.825930 | − | 1.18461i | 0.0565918 | − | 0.0811678i | ||||
\(214\) | 3.93826 | − | 2.86131i | 0.269214 | − | 0.195595i | ||||
\(215\) | 6.37413 | − | 18.2524i | 0.434712 | − | 1.24481i | ||||
\(216\) | −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 | ||||
\(220\) | 17.2954 | − | 9.06258i | 1.16606 | − | 0.610999i | ||||
\(221\) | 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 | \(-0.546705\pi\) |
−0.699749 | + | 0.714389i | \(0.746705\pi\) | |||||||
\(224\) | −27.5687 | + | 8.95760i | −1.84201 | + | 0.598505i | ||||
\(225\) | 14.9998 | + | 0.0708136i | 0.999989 | + | 0.00472091i | ||||
\(226\) | −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 | \(0.373695\pi\) | |||||||
\(228\) | 7.67954 | − | 2.66154i | 0.508590 | − | 0.176265i | ||||
\(229\) | −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 | ||||
\(231\) | −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 | \(-0.858978\pi\) |
0.686883 | + | 0.726768i | \(0.258978\pi\) | |||||||
\(234\) | −10.4900 | + | 15.6876i | −0.685753 | + | 1.02553i | ||||
\(235\) | −16.8962 | − | 12.8483i | −1.10219 | − | 0.838131i | ||||
\(236\) | 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 | 0.700379 | + | 0.713771i | \(0.253014\pi\) |
−0.986163 | + | 0.165780i | \(0.946986\pi\) | |||||||
\(240\) | 7.32478 | − | 5.29539i | 0.472813 | − | 0.341816i | ||||
\(241\) | 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 | ||||
\(245\) | −4.51015 | − | 14.9858i | −0.288143 | − | 0.957410i | ||||
\(246\) | 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 | ||||
\(250\) | 1.57426 | − | 24.0131i | 0.0995649 | − | 1.51872i | ||||
\(251\) | 2.90618 | − | 4.00001i | 0.183436 | − | 0.252478i | −0.707389 | − | 0.706824i | \(-0.750127\pi\) |
0.890825 | + | 0.454346i | \(0.150127\pi\) | |||||||
\(252\) | 8.03169 | − | 28.4404i | 0.505949 | − | 1.79157i | ||||
\(253\) | −7.78428 | + | 4.29791i | −0.489393 | + | 0.270207i | ||||
\(254\) | 43.5956i | 2.73543i | ||||||||
\(255\) | 13.9111 | + | 19.2423i | 0.871145 | + | 1.20500i | ||||
\(256\) | 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 | \(0.991251\pi\) | |||||||
\(258\) | 30.8440 | + | 9.36230i | 1.92027 | + | 0.582871i | ||||
\(259\) | −8.12978 | − | 11.1897i | −0.505160 | − | 0.695293i | ||||
\(260\) | 13.6960 | + | 10.4147i | 0.849387 | + | 0.645895i | ||||
\(261\) | −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 | −0.964831 | − | 0.262869i | \(-0.915331\pi\) |
0.0481459 | − | 0.998840i | \(-0.484669\pi\) | |||||||
\(270\) | 0.914158 | + | 24.9920i | 0.0556339 | + | 1.52097i | ||||
\(271\) | −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 | ||||
\(273\) | −18.9360 | + | 0.368561i | −1.14606 | + | 0.0223063i | ||||
\(274\) | − | 39.8760i | − | 2.40900i | ||||||
\(275\) | −16.3511 | − | 2.76449i | −0.986007 | − | 0.166705i | ||||
\(276\) | 9.74950 | − | 7.37751i | 0.586851 | − | 0.444074i | ||||
\(277\) | −10.9695 | − | 7.96979i | −0.659091 | − | 0.478858i | 0.207265 | − | 0.978285i | \(-0.433544\pi\) |
−0.866356 | + | 0.499427i | \(0.833544\pi\) | |||||||
\(278\) | 5.26171 | − | 16.1939i | 0.315576 | − | 0.971245i | ||||
\(279\) | 4.28585 | − | 0.166899i | 0.256587 | − | 0.00999196i | ||||
\(280\) | −10.7594 | − | 3.75739i | −0.642995 | − | 0.224547i | ||||
\(281\) | 9.35985 | − | 6.80033i | 0.558362 | − | 0.405674i | −0.272497 | − | 0.962157i | \(-0.587850\pi\) |
0.830859 | + | 0.556483i | \(0.187850\pi\) | |||||||
\(282\) | 20.2405 | − | 29.0303i | 1.20530 | − | 1.72873i | ||||
\(283\) | 2.18516 | − | 6.72524i | 0.129894 | − | 0.399774i | −0.864867 | − | 0.502002i | \(-0.832597\pi\) |
0.994761 | + | 0.102228i | \(0.0325970\pi\) | |||||||
\(284\) | 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 | ||||||||
\(288\) | 14.3830 | + | 18.2578i | 0.847527 | + | 1.07585i | ||||
\(289\) | −6.36129 | + | 19.5780i | −0.374194 | + | 1.15165i | ||||
\(290\) | −16.3700 | + | 21.5274i | −0.961279 | + | 1.26413i | ||||
\(291\) | −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 | \(-0.854962\pi\) |
−0.467823 | + | 0.883822i | \(0.654962\pi\) | |||||||
\(294\) | 24.6535 | − | 8.54430i | 1.43782 | − | 0.498313i | ||||
\(295\) | 0.00246681 | − | 0.113027i | 0.000143623 | − | 0.00658068i | ||||
\(296\) | −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 | ||||
\(300\) | 22.7947 | + | 0.551328i | 1.31605 | + | 0.0318310i | ||||
\(301\) | 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 | ||||
\(305\) | −6.21737 | + | 1.87118i | −0.356006 | + | 0.107144i | ||||
\(306\) | −31.0972 | + | 24.4975i | −1.77771 | + | 1.40043i | ||||
\(307\) | −4.60472 | −0.262805 | −0.131403 | − | 0.991329i | \(-0.541948\pi\) | ||||
−0.131403 | + | 0.991329i | \(0.541948\pi\) | |||||||
\(308\) | −13.8571 | + | 29.5875i | −0.789584 | + | 1.68591i | ||||
\(309\) | −4.30855 | − | 5.69382i | −0.245105 | − | 0.323910i | ||||
\(310\) | 0.150143 | − | 6.87942i | 0.00852756 | − | 0.390725i | ||||
\(311\) | 19.4975 | + | 6.33511i | 1.10560 | + | 0.359231i | 0.804255 | − | 0.594284i | \(-0.202564\pi\) |
0.301345 | + | 0.953515i | \(0.402564\pi\) | |||||||
\(312\) | −3.94377 | + | 5.65643i | −0.223272 | + | 0.320232i | ||||
\(313\) | 16.5721 | + | 22.8096i | 0.936712 | + | 1.28927i | 0.957183 | + | 0.289482i | \(0.0934832\pi\) |
−0.0204718 | + | 0.999790i | \(0.506517\pi\) | |||||||
\(314\) | 15.9590 | − | 11.5949i | 0.900617 | − | 0.654336i | ||||
\(315\) | −20.0501 | + | 15.0977i | −1.12969 | + | 0.850660i | ||||
\(316\) | 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 | ||||
\(321\) | −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 | ||||
\(325\) | −3.90497 | − | 14.0814i | −0.216609 | − | 0.781096i | ||||
\(326\) | −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 | ||||||||
\(330\) | 3.48008 | − | 27.4283i | 0.191572 | − | 1.50988i | ||||
\(331\) | −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 | ||||
\(335\) | −5.17291 | − | 1.80649i | −0.282626 | − | 0.0986990i | ||||
\(336\) | −4.39266 | + | 14.4716i | −0.239639 | + | 0.789491i | ||||
\(337\) | 4.52795 | + | 13.9356i | 0.246653 | + | 0.759121i | 0.995360 | + | 0.0962195i | \(0.0306751\pi\) |
−0.748707 | + | 0.662901i | \(0.769325\pi\) | |||||||
\(338\) | −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 | ||||
\(345\) | −10.3835 | − | 0.0245100i | −0.559031 | − | 0.00131957i | ||||
\(346\) | −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 | \(0.721406\pi\) | |||||||
\(348\) | −21.0200 | − | 14.6556i | −1.12679 | − | 0.785622i | ||||
\(349\) | 9.20764 | + | 2.99174i | 0.492874 | + | 0.160144i | 0.544900 | − | 0.838501i | \(-0.316568\pi\) |
−0.0520257 | + | 0.998646i | \(0.516568\pi\) | |||||||
\(350\) | 22.2241 | + | 33.5777i | 1.18793 | + | 1.79480i | ||||
\(351\) | 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 | \(0.395080\pi\) | |||||||
\(354\) | 0.188453 | − | 0.00366796i | 0.0100162 | − | 0.000194950i | ||||
\(355\) | −1.78524 | + | 0.537286i | −0.0947506 | + | 0.0285162i | ||||
\(356\) | 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 | 0.999981 | − | 0.00612922i | \(-0.00195100\pi\) |
−0.812604 | + | 0.582816i | \(0.801951\pi\) | |||||||
\(360\) | 0.156257 | + | 9.13663i | 0.00823547 | + | 0.481543i | ||||
\(361\) | −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 | ||||||||
\(365\) | −12.9914 | − | 0.283538i | −0.680003 | − | 0.0148410i | ||||
\(366\) | −3.54488 | − | 10.2283i | −0.185294 | − | 0.534643i | ||||
\(367\) | 0.551086 | − | 0.179059i | 0.0287665 | − | 0.00934679i | −0.294598 | − | 0.955621i | \(-0.595186\pi\) |
0.323365 | + | 0.946274i | \(0.395186\pi\) | |||||||
\(368\) | −5.06183 | + | 3.67763i | −0.263866 | + | 0.191710i | ||||
\(369\) | −0.263682 | − | 0.715507i | −0.0137267 | − | 0.0372478i | ||||
\(370\) | 14.1624 | + | 10.7695i | 0.736269 | + | 0.559878i | ||||
\(371\) | −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 | \(-0.338504\pi\) | ||||
0.485867 | + | 0.874032i | \(0.338504\pi\) | |||||||
\(374\) | 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 | ||||
\(378\) | −26.5299 | − | 32.3612i | −1.36455 | − | 1.66448i | ||||
\(379\) | 3.28240 | − | 2.38480i | 0.168606 | − | 0.122499i | −0.500283 | − | 0.865862i | \(-0.666771\pi\) |
0.668888 | + | 0.743363i | \(0.266771\pi\) | |||||||
\(380\) | −9.90611 | − | 3.45942i | −0.508173 | − | 0.177465i | ||||
\(381\) | 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 | \(-0.0428988\pi\) |
0.178428 | + | 0.983953i | \(0.442899\pi\) | |||||||
\(384\) | 10.8194 | + | 14.2981i | 0.552128 | + | 0.729645i | ||||
\(385\) | 24.5780 | − | 12.8786i | 1.25261 | − | 0.656352i | ||||
\(386\) | − | 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 | 0.915639 | − | 0.402001i | \(-0.131685\pi\) |
0.977058 | − | 0.212973i | \(-0.0683148\pi\) | |||||||
\(390\) | 23.1885 | − | 7.47395i | 1.17420 | − | 0.378458i | ||||
\(391\) | −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 | ||||
\(400\) | −11.6575 | − | 0.509091i | −0.582874 | − | 0.0254545i | ||||
\(401\) | 14.9545 | + | 20.5831i | 0.746790 | + | 1.02787i | 0.998199 | + | 0.0599878i | \(0.0191062\pi\) |
−0.251409 | + | 0.967881i | \(0.580894\pi\) | |||||||
\(402\) | 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 | ||||
\(405\) | 16.9180 | + | 10.8988i | 0.840660 | + | 0.541563i | ||||
\(406\) | − | 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 | \(0.364072\pi\) | |||||||
\(410\) | −1.17146 | + | 0.352563i | −0.0578543 | + | 0.0174119i | ||||
\(411\) | −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 | ||||
\(415\) | 2.61704 | − | 0.787626i | 0.128465 | − | 0.0386630i | ||||
\(416\) | 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 | \(-0.842179\pi\) | ||
0.879585 | − | 0.475742i | \(-0.157821\pi\) | |||||||
\(420\) | −30.9188 | + | 22.3525i | −1.50868 | + | 1.09069i | ||||
\(421\) | 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 | ||||
\(423\) | −9.84751 | − | 26.7215i | −0.478802 | − | 1.29924i | ||||
\(424\) | 4.40955 | + | 6.06923i | 0.214147 | + | 0.294748i | ||||
\(425\) | 1.33739 | − | 30.6243i | 0.0648729 | − | 1.48550i | ||||
\(426\) | −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 | 0.964428 | − | 0.264346i | \(-0.0851560\pi\) |
0.0466170 | + | 0.998913i | \(0.485156\pi\) | |||||||
\(432\) | 12.1057 | − | 0.707573i | 0.582435 | − | 0.0340431i | ||||
\(433\) | 2.14388 | − | 0.696587i | 0.103028 | − | 0.0334758i | −0.257049 | − | 0.966398i | \(-0.582750\pi\) |
0.360077 | + | 0.932922i | \(0.382750\pi\) | |||||||
\(434\) | 6.76760 | + | 9.31480i | 0.324855 | + | 0.447125i | ||||
\(435\) | 6.67620 | + | 20.7135i | 0.320099 | + | 0.993134i | ||||
\(436\) | −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 | \(0.0484159\pi\) | ||||
−0.988455 | + | 0.151517i | \(0.951584\pi\) | |||||||
\(440\) | 1.46638 | − | 9.99542i | 0.0699067 | − | 0.476513i | ||||
\(441\) | 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 | \(0.0378417\pi\) | |||||||
\(444\) | −9.64159 | + | 13.8286i | −0.457570 | + | 0.656278i | ||||
\(445\) | −3.14626 | − | 1.09874i | −0.149147 | − | 0.0520853i | ||||
\(446\) | −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 | 0.231976 | + | 0.972721i | \(0.425481\pi\) |
−0.996798 | + | 0.0799647i | \(0.974519\pi\) | |||||||
\(450\) | 19.1004 | − | 26.0302i | 0.900403 | − | 1.22707i | ||||
\(451\) | 0.159474 | + | 0.827807i | 0.00750934 | + | 0.0389799i | ||||
\(452\) | −4.27518 | −0.201088 | ||||||||
\(453\) | −0.179461 | − | 9.22037i | −0.00843180 | − | 0.433211i | ||||
\(454\) | 1.65438 | − | 5.09167i | 0.0776441 | − | 0.238964i | ||||
\(455\) | 19.4629 | + | 14.8001i | 0.912435 | + | 0.693839i | ||||
\(456\) | 1.22139 | − | 4.02385i | 0.0571966 | − | 0.188434i | ||||
\(457\) | 13.0649 | − | 9.49221i | 0.611150 | − | 0.444027i | −0.238669 | − | 0.971101i | \(-0.576711\pi\) |
0.849819 | + | 0.527074i | \(0.176711\pi\) | |||||||
\(458\) | −24.8308 | + | 8.06802i | −1.16027 | + | 0.376994i | ||||
\(459\) | 1.85880 | + | 31.8018i | 0.0867615 | + | 1.48438i | ||||
\(460\) | −15.7802 | − | 0.344403i | −0.735757 | − | 0.0160579i | ||||
\(461\) | −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 | ||||
\(465\) | −4.47200 | − | 3.26525i | −0.207384 | − | 0.151422i | ||||
\(466\) | 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 | \(0.497569\pi\) | |||||||
\(468\) | 7.98232 | + | 21.6602i | 0.368983 | + | 1.00124i | ||||
\(469\) | 8.71945 | − | 2.83312i | 0.402627 | − | 0.130821i | ||||
\(470\) | −43.7496 | + | 13.1669i | −2.01802 | + | 0.607344i | ||||
\(471\) | −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 | ||||
\(475\) | 4.91846 | + | 7.43113i | 0.225674 | + | 0.340964i | ||||
\(476\) | −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 | −0.793497 | − | 0.608574i | \(-0.791742\pi\) |
0.333584 | + | 0.942720i | \(0.391742\pi\) | |||||||
\(480\) | 0.0708282 | − | 30.0060i | 0.00323285 | − | 1.36958i | ||||
\(481\) | 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 | \(-0.637229\pi\) |
−0.872080 | + | 0.489363i | \(0.837229\pi\) | |||||||
\(488\) | −1.22229 | − | 3.76183i | −0.0553307 | − | 0.170290i | ||||
\(489\) | −38.3888 | − | 11.6524i | −1.73600 | − | 0.526940i | ||||
\(490\) | −31.8014 | − | 11.1057i | −1.43664 | − | 0.501706i | ||||
\(491\) | 4.81815 | + | 14.8287i | 0.217440 | + | 0.669212i | 0.998971 | + | 0.0453457i | \(0.0144389\pi\) |
−0.781531 | + | 0.623866i | \(0.785561\pi\) | |||||||
\(492\) | −0.379579 | − | 1.09523i | −0.0171128 | − | 0.0493768i | ||||
\(493\) | −20.2487 | + | 27.8700i | −0.911958 | + | 1.25520i | ||||
\(494\) | −11.2115 | −0.504431 | ||||||||
\(495\) | −16.5038 | − | 14.9206i | −0.741789 | − | 0.670633i | ||||
\(496\) | −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 | 0.999965 | + | 0.00834366i | \(0.00265590\pi\) |
−0.804085 | + | 0.594515i | \(0.797344\pi\) | |||||||
\(500\) | −22.6317 | − | 18.8231i | −1.01212 | − | 0.841796i | ||||
\(501\) | 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 | \(-0.605247\pi\) |
−0.818596 | + | 0.574370i | \(0.805247\pi\) | |||||||
\(504\) | −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 | 0.333622 | − | 0.942707i | \(-0.391729\pi\) |
−0.284203 | + | 0.958764i | \(0.591729\pi\) | |||||||
\(510\) | 51.1070 | + | 0.120636i | 2.26306 | + | 0.00534187i | ||||
\(511\) | 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 | ||||
\(515\) | −0.201135 | + | 9.21583i | −0.00886308 | + | 0.406098i | ||||
\(516\) | 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 | ||||
\(520\) | 8.52442 | − | 2.56551i | 0.373820 | − | 0.112505i | ||||
\(521\) | −6.84744 | + | 2.22487i | −0.299992 | + | 0.0974733i | −0.455146 | − | 0.890417i | \(-0.650413\pi\) |
0.155154 | + | 0.987890i | \(0.450413\pi\) | |||||||
\(522\) | −34.0457 | + | 12.5467i | −1.49014 | + | 0.549153i | ||||
\(523\) | 21.1158 | − | 15.3415i | 0.923328 | − | 0.670837i | −0.0210218 | − | 0.999779i | \(-0.506692\pi\) |
0.944350 | + | 0.328942i | \(0.106692\pi\) | |||||||
\(524\) | 9.32725 | + | 28.7063i | 0.407463 | + | 1.25404i | ||||
\(525\) | 32.3929 | + | 0.783476i | 1.41374 | + | 0.0341937i | ||||
\(526\) | 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 | ||||||||
\(530\) | 0.578353 | − | 26.4996i | 0.0251221 | − | 1.15107i | ||||
\(531\) | 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 | ||||
\(535\) | −3.06108 | + | 4.02549i | −0.132342 | + | 0.174037i | ||||
\(536\) | 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 | ||||
\(540\) | 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 | ||||
\(543\) | 32.9314 | + | 22.9604i | 1.41322 | + | 0.985327i | ||||
\(544\) | 38.4266 | − | 27.9186i | 1.64753 | − | 1.19700i | ||||
\(545\) | 29.5474 | + | 10.3186i | 1.26567 | + | 0.442000i | ||||
\(546\) | −23.3152 | + | 33.4403i | −0.997799 | + | 1.43111i | ||||
\(547\) | 11.1317 | − | 34.2598i | 0.475956 | − | 1.46484i | −0.368708 | − | 0.929545i | \(-0.620200\pi\) |
0.844664 | − | 0.535297i | \(-0.179800\pi\) | |||||||
\(548\) | −39.4616 | − | 28.6705i | −1.68572 | − | 1.22474i | ||||
\(549\) | −8.38318 | − | 2.36745i | −0.357786 | − | 0.101040i | ||||
\(550\) | −25.5006 | + | 24.9752i | −1.08735 | + | 1.06495i | ||||
\(551\) | − | 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 | ||||
\(555\) | 13.6269 | − | 4.39213i | 0.578431 | − | 0.186435i | ||||
\(556\) | −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 | \(-0.0278980\pi\) | |||||||
\(558\) | 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 | \(-0.680069\pi\) |
0.968530 | + | 0.248898i | \(0.0800686\pi\) | |||||||
\(564\) | −14.1758 | − | 40.9027i | −0.596911 | − | 1.72231i | ||||
\(565\) | 2.89016 | + | 2.19775i | 0.121590 | + | 0.0924601i | ||||
\(566\) | −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 | −0.371259 | − | 0.928529i | \(-0.621074\pi\) |
0.846131 | − | 0.532975i | \(-0.178926\pi\) | |||||||
\(570\) | −12.0406 | + | 8.70464i | −0.504324 | + | 0.364597i | ||||
\(571\) | 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 | ||||
\(575\) | 10.4909 | + | 8.34500i | 0.437500 | + | 0.348010i | ||||
\(576\) | 35.9981 | − | 1.40183i | 1.49992 | − | 0.0584095i | ||||
\(577\) | −24.0939 | − | 33.1623i | −1.00304 | − | 1.38057i | −0.923441 | − | 0.383740i | \(-0.874636\pi\) |
−0.0795990 | − | 0.996827i | \(-0.525364\pi\) | |||||||
\(578\) | 26.0440 | + | 35.8464i | 1.08329 | + | 1.49101i | ||||
\(579\) | −25.1277 | − | 17.5196i | −1.04427 | − | 0.728088i | ||||
\(580\) | 9.53379 | + | 31.6779i | 0.395869 | + | 1.31535i | ||||
\(581\) | −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 | ||||||
\(585\) | 5.73861 | − | 18.7465i | 0.237262 | − | 0.775072i | ||||
\(586\) | −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 | \(-0.368778\pi\) | |||||||
\(588\) | 9.27018 | − | 30.5406i | 0.382296 | − | 1.25947i | ||||
\(589\) | 1.49775 | + | 2.06148i | 0.0617137 | + | 0.0849416i | ||||
\(590\) | −0.193697 | − | 0.147292i | −0.00797438 | − | 0.00606392i | ||||
\(591\) | 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 | 0.995780 | − | 0.0917761i | \(-0.0292544\pi\) |
−0.394997 | + | 0.918682i | \(0.629254\pi\) | |||||||
\(600\) | 7.16289 | − | 9.37357i | 0.292424 | − | 0.382675i | ||||
\(601\) | 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 | ||||
\(603\) | −4.54908 | − | 5.77461i | −0.185253 | − | 0.235160i | ||||
\(604\) | − | 14.0185i | − | 0.570403i | ||||||
\(605\) | 15.3314 | + | 19.2340i | 0.623310 | + | 0.781975i | ||||
\(606\) | 23.6387 | + | 31.2389i | 0.960256 | + | 1.26899i | ||||
\(607\) | 15.2824 | + | 11.1033i | 0.620293 | + | 0.450669i | 0.853024 | − | 0.521872i | \(-0.174766\pi\) |
−0.232731 | + | 0.972541i | \(0.574766\pi\) | |||||||
\(608\) | −4.26699 | + | 13.1325i | −0.173049 | + | 0.532591i | ||||
\(609\) | −29.8709 | − | 20.8266i | −1.21043 | − | 0.843937i | ||||
\(610\) | −4.60758 | + | 13.1939i | −0.186555 | + | 0.534204i | ||||
\(611\) | −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 | 0.743807 | + | 0.668394i | \(0.233018\pi\) |
−0.994625 | + | 0.103544i | \(0.966982\pi\) | |||||||
\(614\) | −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 | \(0.546311\pi\) | |||||||
\(618\) | −15.3658 | + | 0.299073i | −0.618105 | + | 0.0120305i | ||||
\(619\) | 12.0091 | − | 36.9603i | 0.482688 | − | 1.48556i | −0.352615 | − | 0.935769i | \(-0.614707\pi\) |
0.835302 | − | 0.549791i | \(-0.185293\pi\) | |||||||
\(620\) | −6.69997 | − | 5.09483i | −0.269077 | − | 0.204613i | ||||
\(621\) | −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 | ||||
\(625\) | 5.62330 | + | 24.3594i | 0.224932 | + | 0.974374i | ||||
\(626\) | 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 | ||||
\(630\) | 0.923777 | + | 54.0149i | 0.0368042 | + | 2.15201i | ||||
\(631\) | 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 | ||||
\(633\) | −28.3909 | − | 8.61768i | −1.12844 | − | 0.342522i | ||||
\(634\) | −23.8299 | + | 7.74279i | −0.946405 | + | 0.307506i | ||||
\(635\) | −13.0522 | − | 43.3685i | −0.517961 | − | 1.72103i | ||||
\(636\) | 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 | ||||
\(640\) | 0.505082 | − | 23.1424i | 0.0199651 | − | 0.914783i | ||||
\(641\) | −10.7142 | − | 3.48126i | −0.423186 | − | 0.137501i | 0.0896793 | − | 0.995971i | \(-0.471416\pi\) |
−0.512865 | + | 0.858469i | \(0.671416\pi\) | |||||||
\(642\) | −6.91641 | − | 4.82226i | −0.272969 | − | 0.190319i | ||||
\(643\) | −3.97759 | − | 5.47468i | −0.156861 | − | 0.215900i | 0.723352 | − | 0.690479i | \(-0.242600\pi\) |
−0.880213 | + | 0.474579i | \(0.842600\pi\) | |||||||
\(644\) | 21.3666 | − | 15.5237i | 0.841961 | − | 0.611720i | ||||
\(645\) | −33.4864 | − | 0.0790434i | −1.31852 | − | 0.00311233i | ||||
\(646\) | −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 | ||||
\(651\) | 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 | \(-0.0642058\pi\) |
−0.910374 | + | 0.413787i | \(0.864206\pi\) | |||||||
\(654\) | −15.1559 | + | 49.9310i | −0.592642 | + | 1.95246i | ||||
\(655\) | 8.45160 | − | 24.2013i | 0.330231 | − | 0.945622i | ||||
\(656\) | 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 | \(0.761451\pi\) | |||||||
\(660\) | −24.6411 | − | 23.1646i | −0.959154 | − | 0.901683i | ||||
\(661\) | −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 | ||||
\(665\) | −14.0773 | − | 4.91608i | −0.545893 | − | 0.190637i | ||||
\(666\) | 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 | \(-0.332128\pi\) |
−0.666311 | + | 0.745674i | \(0.732128\pi\) | |||||||
\(674\) | 29.9952 | + | 9.74602i | 1.15537 | + | 0.375403i | ||||
\(675\) | −8.39183 | − | 24.5882i | −0.323002 | − | 0.946398i | ||||
\(676\) | −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 | \(0.774171\pi\) | |||||||
\(678\) | −3.46221 | + | 4.96574i | −0.132965 | + | 0.190708i | ||||
\(679\) | −27.1068 | − | 8.80752i | −1.04026 | − | 0.338002i | ||||
\(680\) | 18.6696 | + | 0.407464i | 0.715948 | + | 0.0156255i | ||||
\(681\) | −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 | \(0.410495\pi\) | |||||||
\(684\) | −8.71148 | − | 11.0584i | −0.333092 | − | 0.422827i | ||||
\(685\) | 11.9386 | + | 39.6683i | 0.456150 | + | 1.51565i | ||||
\(686\) | −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 | ||||
\(690\) | −13.1795 | + | 18.0502i | −0.501734 | + | 0.687161i | ||||
\(691\) | −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 | ||||||||
\(693\) | 37.0933 | + | 3.15763i | 1.40906 | + | 0.119949i | ||||
\(694\) | 19.5992 | 0.743975 | ||||||||
\(695\) | −0.385971 | + | 17.6848i | −0.0146407 | + | 0.670824i | ||||
\(696\) | −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 | ||||
\(700\) | 49.2076 | + | 2.14893i | 1.85987 | + | 0.0812220i | ||||
\(701\) | 14.2187 | − | 43.7608i | 0.537034 | − | 1.65282i | −0.202177 | − | 0.979349i | \(-0.564802\pi\) |
0.739212 | − | 0.673473i | \(-0.235198\pi\) | |||||||
\(702\) | 31.6233 | + | 8.26962i | 1.19355 | + | 0.312117i | ||||
\(703\) | −6.58856 | −0.248492 | ||||||||
\(704\) | −39.5225 | − | 4.91981i | −1.48956 | − | 0.185422i | ||||
\(705\) | −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 | ||||
\(708\) | 0.131866 | − | 0.189132i | 0.00495585 | − | 0.00710801i | ||||
\(709\) | 36.7685 | − | 26.7139i | 1.38087 | − | 1.00326i | 0.384072 | − | 0.923303i | \(-0.374521\pi\) |
0.996798 | − | 0.0799582i | \(-0.0254787\pi\) | |||||||
\(710\) | −1.32301 | + | 3.78845i | −0.0496516 | + | 0.142178i | ||||
\(711\) | −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 | ||||
\(715\) | −9.61888 | + | 19.4230i | −0.359726 | + | 0.726380i | ||||
\(716\) | 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 | −0.115313 | − | 0.993329i | \(-0.536787\pi\) |
0.490574 | + | 0.871399i | \(0.336787\pi\) | |||||||
\(720\) | −12.8207 | − | 8.98389i | −0.477799 | − | 0.334810i | ||||
\(721\) | −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 | ||||
\(730\) | −16.9299 | + | 22.2638i | −0.626605 | + | 0.824018i | ||||
\(731\) | −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 | 0.967457 | + | 0.253035i | \(0.0814286\pi\) |
−0.633959 | + | 0.773366i | \(0.718571\pi\) | |||||||
\(734\) | 0.385408 | − | 1.18616i | 0.0142257 | − | 0.0437821i | ||||
\(735\) | −21.9670 | + | 15.8809i | −0.810265 | + | 0.585775i | ||||
\(736\) | 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 | \(0.123444\pi\) | |||||||
\(740\) | 20.8402 | − | 6.27207i | 0.766100 | − | 0.230566i | ||||
\(741\) | −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 | \(-0.163920\pi\) |
−0.737344 | + | 0.675517i | \(0.763920\pi\) | |||||||
\(744\) | 1.92927 | − | 2.76709i | 0.0707304 | − | 0.101446i | ||||
\(745\) | −4.33626 | − | 14.4081i | −0.158868 | − | 0.527870i | ||||
\(746\) | 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 | ||||||
\(750\) | −40.1916 | + | 11.0436i | −1.46759 | + | 0.403255i | ||||
\(751\) | 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 | ||||
\(753\) | −8.19456 | − | 2.48735i | −0.298627 | − | 0.0906441i | ||||
\(754\) | 20.7767 | + | 28.5967i | 0.756644 | + | 1.04143i | ||||
\(755\) | −7.20649 | + | 9.47692i | −0.262271 | + | 0.344901i | ||||
\(756\) | −51.0996 | + | 2.98675i | −1.85847 | + | 0.108627i | ||||
\(757\) | 3.58874 | − | 4.93948i | 0.130435 | − | 0.179528i | −0.738804 | − | 0.673920i | \(-0.764609\pi\) |
0.869239 | + | 0.494392i | \(0.164609\pi\) | |||||||
\(758\) | − | 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 | 0.0944811 | − | 0.995527i | \(-0.469881\pi\) |
−0.917606 | + | 0.397492i | \(0.869881\pi\) | |||||||
\(762\) | 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 | ||||
\(765\) | 23.6008 | − | 33.6802i | 0.853289 | − | 1.21771i | ||||
\(766\) | 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 | \(0.136519\pi\) | ||||
−0.909429 | + | 0.415859i | \(0.863481\pi\) | |||||||
\(770\) | 8.66907 | − | 59.0919i | 0.312412 | − | 2.12953i | ||||
\(771\) | −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 | \(-0.0792409\pi\) | |||||||
\(774\) | −2.17248 | − | 55.7880i | −0.0780883 | − | 2.00526i | ||||
\(775\) | 1.91029 | + | 6.88853i | 0.0686195 | + | 0.247443i | ||||
\(776\) | −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 | ||||
\(780\) | 9.27609 | − | 28.3212i | 0.332137 | − | 1.01406i | ||||
\(781\) | 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 | ||||
\(785\) | −12.4044 | + | 16.3125i | −0.442732 | + | 0.582217i | ||||
\(786\) | 40.8968 | + | 12.4137i | 1.45874 | + | 0.442781i | ||||
\(787\) | 2.48490 | − | 1.80539i | 0.0885772 | − | 0.0643551i | −0.542615 | − | 0.839981i | \(-0.682566\pi\) |
0.631192 | + | 0.775626i | \(0.282566\pi\) | |||||||
\(788\) | 27.2362 | − | 8.84958i | 0.970250 | − | 0.315253i | ||||
\(789\) | 12.0503 | − | 4.17632i | 0.429001 | − | 0.148681i | ||||
\(790\) | −42.3738 | − | 0.924808i | −1.50759 | − | 0.0329032i | ||||
\(791\) | −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 | ||||
\(795\) | −17.2262 | − | 12.5778i | −0.610950 | − | 0.446088i | ||||
\(796\) | −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 | \(-0.0100104\pi\) | |||||||
\(798\) | 7.22072 | − | 23.7886i | 0.255611 | − | 0.842108i | ||||
\(799\) | −55.3489 | + | 17.9839i | −1.95810 | + | 0.636226i | ||||
\(800\) | −24.1151 | + | 30.3162i | −0.852597 | + | 1.07184i | ||||
\(801\) | −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 | ||||
\(805\) | −22.4248 | − | 0.489421i | −0.790370 | − | 0.0172498i | ||||
\(806\) | −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 | −0.206134 | − | 0.978524i | \(-0.566088\pi\) |
0.866932 | + | 0.498426i | \(0.166088\pi\) | |||||||
\(810\) | 40.3823 | − | 15.6712i | 1.41889 | − | 0.550631i | ||||
\(811\) | 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 | ||||
\(816\) | −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 | ||||
\(820\) | −0.493371 | + | 1.41278i | −0.0172293 | + | 0.0493362i | ||||
\(821\) | 14.0019 | + | 43.0935i | 0.488670 | + | 1.50397i | 0.826594 | + | 0.562799i | \(0.190275\pi\) |
−0.337924 | + | 0.941174i | \(0.609725\pi\) | |||||||
\(822\) | −65.2591 | + | 22.6172i | −2.27617 | + | 0.788865i | ||||
\(823\) | 16.0956 | − | 22.1537i | 0.561057 | − | 0.772229i | −0.430403 | − | 0.902637i | \(-0.641629\pi\) |
0.991460 | + | 0.130408i | \(0.0416287\pi\) | |||||||
\(824\) | −5.61560 | −0.195629 | ||||||||
\(825\) | 4.74989 | + | 28.3273i | 0.165370 | + | 0.986232i | ||||
\(826\) | 0.407166 | 0.0141671 | ||||||||
\(827\) | −0.625494 | + | 0.860919i | −0.0217506 | + | 0.0299371i | −0.819754 | − | 0.572716i | \(-0.805890\pi\) |
0.798003 | + | 0.602653i | \(0.205890\pi\) | |||||||
\(828\) | −17.6035 | − | 11.7711i | −0.611763 | − | 0.409075i | ||||
\(829\) | −6.99269 | − | 21.5213i | −0.242866 | − | 0.747466i | −0.995980 | − | 0.0895753i | \(-0.971449\pi\) |
0.753114 | − | 0.657890i | \(-0.228551\pi\) | |||||||
\(830\) | 1.93944 | − | 5.55362i | 0.0673190 | − | 0.192769i | ||||
\(831\) | −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 | 0.500304 | − | 0.865850i | \(-0.333222\pi\) |
−0.104179 | + | 0.994559i | \(0.533222\pi\) | |||||||
\(840\) | −0.0465941 | + | 19.7394i | −0.00160765 | + | 0.681073i | ||||
\(841\) | −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 | ||||
\(845\) | 9.96737 | + | 0.217538i | 0.342888 | + | 0.00748352i | ||||
\(846\) | −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 | ||||
\(850\) | −51.6353 | − | 41.0734i | −1.77108 | − | 1.40881i | ||||
\(851\) | −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 | \(-0.684367\pi\) |
0.626793 | + | 0.779186i | \(0.284367\pi\) | |||||||
\(854\) | −7.22609 | − | 22.2396i | −0.247272 | − | 0.761024i | ||||
\(855\) | 0.204443 | + | 11.9541i | 0.00699180 | + | 0.408823i | ||||
\(856\) | −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 | \(0.651719\pi\) | |||||||
\(860\) | −50.8903 | − | 1.11068i | −1.73535 | − | 0.0378739i | ||||
\(861\) | −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 | \(-0.855227\pi\) |
0.140197 | + | 0.990124i | \(0.455227\pi\) | |||||||
\(864\) | 21.7220 | − | 33.8941i | 0.738997 | − | 1.15310i | ||||
\(865\) | 1.05870 | − | 1.39224i | 0.0359967 | − | 0.0473376i | ||||
\(866\) | 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 | ||||
\(870\) | 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 | ||||
\(873\) | 0.889270 | + | 22.8359i | 0.0300972 | + | 0.772878i | ||||
\(874\) | 8.32070 | − | 6.04534i | 0.281452 | − | 0.204487i | ||||
\(875\) | −32.1612 | − | 26.7490i | −1.08725 | − | 0.904281i | ||||
\(876\) | −21.7390 | − | 15.1569i | −0.734494 | − | 0.512103i | ||||
\(877\) | 1.44357 | − | 4.44286i | 0.0487460 | − | 0.150025i | −0.923721 | − | 0.383067i | \(-0.874868\pi\) |
0.972467 | + | 0.233042i | \(0.0748679\pi\) | |||||||
\(878\) | 11.0562 | + | 8.03282i | 0.373130 | + | 0.271094i | ||||
\(879\) | 25.6917 | + | 33.9519i | 0.866558 | + | 1.14517i | ||||
\(880\) | 12.3770 | + | 12.0976i | 0.417229 | + | 0.407811i | ||||
\(881\) | 0.351265i | 0.0118344i | 0.999982 | + | 0.00591720i | \(0.00188352\pi\) | ||||
−0.999982 | + | 0.00591720i | \(0.998116\pi\) | |||||||
\(882\) | −27.9663 | − | 35.5005i | −0.941676 | − | 1.19537i | ||||
\(883\) | 1.22742 | + | 0.398811i | 0.0413058 | + | 0.0134211i | 0.329597 | − | 0.944122i | \(-0.393087\pi\) |
−0.288291 | + | 0.957543i | \(0.593087\pi\) | |||||||
\(884\) | 44.8654 | − | 14.5777i | 1.50899 | − | 0.490300i | ||||
\(885\) | −0.186373 | + | 0.0600704i | −0.00626487 | + | 0.00201924i | ||||
\(886\) | −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 | \(0.354219\pi\) | |||||||
\(888\) | 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 | ||||
\(895\) | 23.8333 | − | 31.3421i | 0.796660 | − | 1.04765i | ||||
\(896\) | 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 | ||||
\(900\) | −12.0266 | − | 37.6174i | −0.400886 | − | 1.25391i | ||||
\(901\) | − | 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 | ||||
\(905\) | −14.9363 | − | 49.6287i | −0.496499 | − | 1.64971i | ||||
\(906\) | −16.2828 | − | 11.3527i | −0.540960 | − | 0.377168i | ||||
\(907\) | 27.1646 | + | 37.3889i | 0.901986 | + | 1.24148i | 0.969830 | + | 0.243782i | \(0.0783881\pi\) |
−0.0678437 | + | 0.997696i | \(0.521612\pi\) | |||||||
\(908\) | −3.84926 | − | 5.29805i | −0.127742 | − | 0.175822i | ||||
\(909\) | 31.5001 | − | 1.22667i | 1.04479 | − | 0.0406860i | ||||
\(910\) | 50.3955 | − | 15.1671i | 1.67060 | − | 0.502783i | ||||
\(911\) | 9.37828 | − | 12.9081i | 0.310716 | − | 0.427664i | −0.624888 | − | 0.780714i | \(-0.714855\pi\) |
0.935604 | + | 0.353050i | \(0.114855\pi\) | |||||||
\(912\) | 4.34713 | + | 5.74480i | 0.143948 | + | 0.190229i | ||||
\(913\) | −3.67102 | − | 1.71930i | −0.121493 | − | 0.0569005i | ||||
\(914\) | − | 34.7595i | − | 1.14974i | ||||||
\(915\) | 6.58870 | + | 9.11373i | 0.217816 | + | 0.301291i | ||||
\(916\) | −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 | 0.960218 | − | 0.279253i | \(-0.0900869\pi\) |
−0.562309 | + | 0.826927i | \(0.690087\pi\) | |||||||
\(920\) | −4.94309 | + | 6.50043i | −0.162969 | + | 0.214313i | ||||
\(921\) | 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 | 0.997112 | + | 0.0759474i | \(0.0241981\pi\) |
−0.235894 | + | 0.971779i | \(0.575802\pi\) | |||||||
\(930\) | −11.3437 | + | 3.65620i | −0.371974 | + | 0.119892i | ||||
\(931\) | 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 | ||||||||
\(935\) | −31.7807 | + | 32.5146i | −1.03934 | + | 1.06334i | ||||
\(936\) | 11.4939 | + | 3.24593i | 0.375690 | + | 0.106096i | ||||
\(937\) | −41.5896 | − | 30.2166i | −1.35867 | − | 0.987133i | −0.998528 | − | 0.0542367i | \(-0.982727\pi\) |
−0.360144 | − | 0.932897i | \(-0.617273\pi\) | |||||||
\(938\) | 6.09805 | − | 18.7679i | 0.199108 | − | 0.612792i | ||||
\(939\) | 27.9295 | − | 40.0584i | 0.911445 | − | 1.30726i | ||||
\(940\) | −18.4255 | + | 52.7618i | −0.600974 | + | 1.72090i | ||||
\(941\) | −9.79828 | + | 7.11887i | −0.319415 | + | 0.232068i | −0.735926 | − | 0.677062i | \(-0.763253\pi\) |
0.416511 | + | 0.909131i | \(0.363253\pi\) | |||||||
\(942\) | −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 | ||||
\(945\) | 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 | \(0.374506\pi\) | |||||||
\(948\) | −0.781485 | − | 40.1513i | −0.0253814 | − | 1.30405i | ||||
\(949\) | −5.24834 | + | 16.1527i | −0.170368 | + | 0.524340i | ||||
\(950\) | 19.1627 | + | 0.836851i | 0.621721 | + | 0.0271510i | ||||
\(951\) | −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 | \(-0.608066\pi\) |
0.284820 | + | 0.958581i | \(0.408066\pi\) | |||||||
\(954\) | 19.7671 | − | 29.5614i | 0.639985 | − | 0.957084i | ||||
\(955\) | 0.600891 | − | 27.5322i | 0.0194444 | − | 0.890922i | ||||
\(956\) | 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 | ||||
\(960\) | −37.5616 | − | 27.4258i | −1.21229 | − | 0.885163i | ||||
\(961\) | −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 | ||||
\(965\) | 11.3969 | + | 37.8683i | 0.366878 | + | 1.21902i | ||||
\(966\) | −0.727732 | − | 37.3896i | −0.0234144 | − | 1.20299i | ||||
\(967\) | 13.4682 | 0.433109 | 0.216555 | − | 0.976270i | \(-0.430518\pi\) | ||||
0.216555 | + | 0.976270i | \(0.430518\pi\) | |||||||
\(968\) | −11.5108 | + | 9.59330i | −0.369970 | + | 0.308340i | ||||
\(969\) | −15.0917 | + | 11.4200i | −0.484814 | + | 0.366862i | ||||
\(970\) | 36.6549 | + | 0.799993i | 1.17692 | + | 0.0256862i | ||||
\(971\) | 23.4682 | + | 7.62527i | 0.753129 | + | 0.244707i | 0.660327 | − | 0.750978i | \(-0.270418\pi\) |
0.0928021 | + | 0.995685i | \(0.470418\pi\) | |||||||
\(972\) | 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 | ||||
\(975\) | −20.8301 | + | 14.3775i | −0.667097 | + | 0.460448i | ||||
\(976\) | 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 | ||||
\(981\) | 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 | −0.987196 | − | 0.159512i | \(-0.949008\pi\) |
0.704899 | − | 0.709307i | \(-0.250992\pi\) | |||||||
\(984\) | −0.573867 | − | 0.174190i | −0.0182942 | − | 0.00555297i | ||||
\(985\) | −22.9619 | − | 8.01877i | −0.731626 | − | 0.255499i | ||||
\(986\) | 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 | ||||||||
\(990\) | −46.8617 | + | 9.86168i | −1.48936 | + | 0.313425i | ||||
\(991\) | 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 | ||||
\(995\) | −19.2342 | + | 55.0773i | −0.609764 | + | 1.74607i | ||||
\(996\) | 5.33343 | + | 1.61889i | 0.168996 | + | 0.0512965i | ||||
\(997\) | 2.41532 | + | 7.43359i | 0.0764939 | + | 0.235424i | 0.981991 | − | 0.188929i | \(-0.0605016\pi\) |
−0.905497 | + | 0.424353i | \(0.860502\pi\) | |||||||
\(998\) | 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.29.17 | yes | 80 | |
3.2 | odd | 2 | inner | 165.2.r.a.29.3 | ✓ | 80 | |
5.2 | odd | 4 | 825.2.bi.h.326.17 | 80 | |||
5.3 | odd | 4 | 825.2.bi.h.326.4 | 80 | |||
5.4 | even | 2 | inner | 165.2.r.a.29.4 | yes | 80 | |
11.8 | odd | 10 | inner | 165.2.r.a.74.18 | yes | 80 | |
15.2 | even | 4 | 825.2.bi.h.326.3 | 80 | |||
15.8 | even | 4 | 825.2.bi.h.326.18 | 80 | |||
15.14 | odd | 2 | inner | 165.2.r.a.29.18 | yes | 80 | |
33.8 | even | 10 | inner | 165.2.r.a.74.4 | yes | 80 | |
55.8 | even | 20 | 825.2.bi.h.701.18 | 80 | |||
55.19 | odd | 10 | inner | 165.2.r.a.74.3 | yes | 80 | |
55.52 | even | 20 | 825.2.bi.h.701.3 | 80 | |||
165.8 | odd | 20 | 825.2.bi.h.701.4 | 80 | |||
165.74 | even | 10 | inner | 165.2.r.a.74.17 | yes | 80 | |
165.107 | odd | 20 | 825.2.bi.h.701.17 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.r.a.29.3 | ✓ | 80 | 3.2 | odd | 2 | inner | |
165.2.r.a.29.4 | yes | 80 | 5.4 | even | 2 | inner | |
165.2.r.a.29.17 | yes | 80 | 1.1 | even | 1 | trivial | |
165.2.r.a.29.18 | yes | 80 | 15.14 | odd | 2 | inner | |
165.2.r.a.74.3 | yes | 80 | 55.19 | odd | 10 | inner | |
165.2.r.a.74.4 | yes | 80 | 33.8 | even | 10 | inner | |
165.2.r.a.74.17 | yes | 80 | 165.74 | even | 10 | inner | |
165.2.r.a.74.18 | yes | 80 | 11.8 | odd | 10 | inner | |
825.2.bi.h.326.3 | 80 | 15.2 | even | 4 | |||
825.2.bi.h.326.4 | 80 | 5.3 | odd | 4 | |||
825.2.bi.h.326.17 | 80 | 5.2 | odd | 4 | |||
825.2.bi.h.326.18 | 80 | 15.8 | even | 4 | |||
825.2.bi.h.701.3 | 80 | 55.52 | even | 20 | |||
825.2.bi.h.701.4 | 80 | 165.8 | odd | 20 | |||
825.2.bi.h.701.17 | 80 | 165.107 | odd | 20 | |||
825.2.bi.h.701.18 | 80 | 55.8 | even | 20 |