Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,8,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), 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: | \(13.4325560958\) |
Analytic rank: | \(0\) |
Dimension: | \(300\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 9.6 | ||
Character | \(\chi\) | \(=\) | 43.9 |
Dual form | 43.8.g.a.24.6 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.47390 | − | 9.37197i | −0.660605 | − | 0.828373i | 0.332804 | − | 0.942996i | \(-0.392005\pi\) |
−0.993409 | + | 0.114623i | \(0.963434\pi\) | |||||||
\(3\) | −35.4123 | − | 5.33754i | −0.757233 | − | 0.114135i | −0.240932 | − | 0.970542i | \(-0.577453\pi\) |
−0.516301 | + | 0.856407i | \(0.672691\pi\) | |||||||
\(4\) | −3.49202 | + | 15.2995i | −0.0272814 | + | 0.119528i | ||||
\(5\) | −37.7951 | − | 25.7682i | −0.135220 | − | 0.0921913i | 0.493821 | − | 0.869564i | \(-0.335600\pi\) |
−0.629041 | + | 0.777372i | \(0.716552\pi\) | |||||||
\(6\) | 214.645 | + | 371.775i | 0.405686 | + | 0.702669i | ||||
\(7\) | −223.831 | + | 387.687i | −0.246648 | + | 0.427207i | −0.962594 | − | 0.270949i | \(-0.912663\pi\) |
0.715946 | + | 0.698156i | \(0.245996\pi\) | |||||||
\(8\) | −1212.93 | + | 584.115i | −0.837567 | + | 0.403351i | ||||
\(9\) | −864.297 | − | 266.600i | −0.395197 | − | 0.121902i | ||||
\(10\) | 40.9773 | + | 546.804i | 0.0129581 | + | 0.172914i | ||||
\(11\) | 1767.34 | + | 7743.21i | 0.400355 | + | 1.75407i | 0.625964 | + | 0.779852i | \(0.284706\pi\) |
−0.225609 | + | 0.974218i | \(0.572437\pi\) | |||||||
\(12\) | 205.322 | − | 523.152i | 0.0343006 | − | 0.0873964i | ||||
\(13\) | 748.065 | − | 9982.24i | 0.0944361 | − | 1.26016i | −0.725707 | − | 0.688004i | \(-0.758487\pi\) |
0.820143 | − | 0.572158i | \(-0.193894\pi\) | |||||||
\(14\) | 5306.29 | − | 799.794i | 0.516824 | − | 0.0778987i | ||||
\(15\) | 1200.87 | + | 1114.25i | 0.0918707 | + | 0.0852435i | ||||
\(16\) | 16349.4 | + | 7873.44i | 0.997886 | + | 0.480557i | ||||
\(17\) | 14168.6 | − | 9659.96i | 0.699446 | − | 0.476874i | −0.160647 | − | 0.987012i | \(-0.551358\pi\) |
0.860093 | + | 0.510138i | \(0.170406\pi\) | |||||||
\(18\) | 3961.10 | + | 10092.7i | 0.160089 | + | 0.407900i | ||||
\(19\) | −15385.5 | + | 4745.80i | −0.514605 | + | 0.158735i | −0.541171 | − | 0.840913i | \(-0.682019\pi\) |
0.0265664 | + | 0.999647i | \(0.491543\pi\) | |||||||
\(20\) | 526.223 | − | 488.263i | 0.0147084 | − | 0.0136474i | ||||
\(21\) | 9995.68 | − | 12534.2i | 0.235529 | − | 0.295344i | ||||
\(22\) | 59360.3 | − | 74435.4i | 1.18855 | − | 1.49039i | ||||
\(23\) | 43177.8 | − | 40063.1i | 0.739968 | − | 0.686590i | −0.217199 | − | 0.976127i | \(-0.569692\pi\) |
0.957167 | + | 0.289538i | \(0.0935016\pi\) | |||||||
\(24\) | 46070.2 | − | 14210.8i | 0.680270 | − | 0.209835i | ||||
\(25\) | −27777.8 | − | 70776.7i | −0.355556 | − | 0.905942i | ||||
\(26\) | −99144.2 | + | 67595.4i | −1.10627 | + | 0.754241i | ||||
\(27\) | 99748.9 | + | 48036.6i | 0.975293 | + | 0.469676i | ||||
\(28\) | −5149.81 | − | 4778.32i | −0.0443341 | − | 0.0411360i | ||||
\(29\) | 169913. | − | 25610.3i | 1.29370 | − | 0.194994i | 0.534121 | − | 0.845408i | \(-0.320643\pi\) |
0.759580 | + | 0.650414i | \(0.225405\pi\) | |||||||
\(30\) | 1467.49 | − | 19582.3i | 0.00992317 | − | 0.132416i | ||||
\(31\) | −90284.8 | + | 230042.i | −0.544313 | + | 1.38689i | 0.348861 | + | 0.937175i | \(0.386569\pi\) |
−0.893174 | + | 0.449712i | \(0.851527\pi\) | |||||||
\(32\) | −10059.1 | − | 44071.9i | −0.0542670 | − | 0.237759i | ||||
\(33\) | −21255.7 | − | 283638.i | −0.102962 | − | 1.37393i | ||||
\(34\) | −196427. | − | 60589.8i | −0.857088 | − | 0.264377i | ||||
\(35\) | 18449.7 | − | 8884.93i | 0.0727365 | − | 0.0350280i | ||||
\(36\) | 7096.99 | − | 12292.4i | 0.0253522 | − | 0.0439113i | ||||
\(37\) | 264453. | + | 458047.i | 0.858308 | + | 1.48663i | 0.873542 | + | 0.486748i | \(0.161817\pi\) |
−0.0152345 | + | 0.999884i | \(0.504849\pi\) | |||||||
\(38\) | 159467. | + | 108723.i | 0.471442 | + | 0.321424i | ||||
\(39\) | −79771.4 | + | 349501.i | −0.215338 | + | 0.943458i | ||||
\(40\) | 60894.2 | + | 9178.33i | 0.150441 | + | 0.0226753i | ||||
\(41\) | −437128. | − | 548141.i | −0.990524 | − | 1.24208i | −0.970205 | − | 0.242284i | \(-0.922104\pi\) |
−0.0203180 | − | 0.999794i | \(-0.506468\pi\) | |||||||
\(42\) | −192177. | −0.400247 | ||||||||
\(43\) | −123428. | + | 506541.i | −0.236741 | + | 0.971573i | ||||
\(44\) | −124639. | −0.220582 | ||||||||
\(45\) | 25796.3 | + | 32347.6i | 0.0422002 | + | 0.0529173i | ||||
\(46\) | −698176. | − | 105233.i | −1.05758 | − | 0.159404i | ||||
\(47\) | 98544.1 | − | 431750.i | 0.138448 | − | 0.606582i | −0.857328 | − | 0.514771i | \(-0.827877\pi\) |
0.995776 | − | 0.0918117i | \(-0.0292658\pi\) | |||||||
\(48\) | −536944. | − | 366082.i | −0.700785 | − | 0.477787i | ||||
\(49\) | 311570. | + | 539656.i | 0.378329 | + | 0.655286i | ||||
\(50\) | −455709. | + | 789310.i | −0.515575 | + | 0.893003i | ||||
\(51\) | −553301. | + | 266456.i | −0.584072 | + | 0.281274i | ||||
\(52\) | 150111. | + | 46303.2i | 0.148048 | + | 0.0456667i | ||||
\(53\) | 99612.1 | + | 1.32923e6i | 0.0919066 | + | 1.22641i | 0.832335 | + | 0.554273i | \(0.187004\pi\) |
−0.740428 | + | 0.672135i | \(0.765377\pi\) | |||||||
\(54\) | −295316. | − | 1.29386e6i | −0.255217 | − | 1.11818i | ||||
\(55\) | 132732. | − | 338197.i | 0.107574 | − | 0.274094i | ||||
\(56\) | 45037.2 | − | 600980.i | 0.0342699 | − | 0.457300i | ||||
\(57\) | 570166. | − | 85938.7i | 0.407793 | − | 0.0614649i | ||||
\(58\) | −1.50993e6 | − | 1.40101e6i | −1.01615 | − | 0.942853i | ||||
\(59\) | −16604.4 | − | 7996.26i | −0.0105255 | − | 0.00506880i | 0.428614 | − | 0.903488i | \(-0.359002\pi\) |
−0.439139 | + | 0.898419i | \(0.644716\pi\) | |||||||
\(60\) | −21240.9 | + | 14481.8i | −0.0126953 | + | 0.00865551i | ||||
\(61\) | −138551. | − | 353022.i | −0.0781547 | − | 0.199135i | 0.886456 | − | 0.462813i | \(-0.153160\pi\) |
−0.964611 | + | 0.263678i | \(0.915064\pi\) | |||||||
\(62\) | 2.83072e6 | − | 873163.i | 1.50844 | − | 0.465291i | ||||
\(63\) | 296814. | − | 275403.i | 0.149552 | − | 0.138764i | ||||
\(64\) | 1.11035e6 | − | 1.39233e6i | 0.529455 | − | 0.663915i | ||||
\(65\) | −285498. | + | 358003.i | −0.128946 | + | 0.161693i | ||||
\(66\) | −2.49939e6 | + | 2.31909e6i | −1.07011 | + | 0.992919i | ||||
\(67\) | 3.53244e6 | − | 1.08961e6i | 1.43487 | − | 0.442599i | 0.522738 | − | 0.852493i | \(-0.324910\pi\) |
0.912133 | + | 0.409894i | \(0.134434\pi\) | |||||||
\(68\) | 98315.9 | + | 250505.i | 0.0379178 | + | 0.0966129i | ||||
\(69\) | −1.74286e6 | + | 1.18826e6i | −0.638692 | + | 0.435453i | ||||
\(70\) | −221161. | − | 106505.i | −0.0770664 | − | 0.0371132i | ||||
\(71\) | 1.55360e6 | + | 1.44153e6i | 0.515153 | + | 0.477992i | 0.894378 | − | 0.447313i | \(-0.147619\pi\) |
−0.379225 | + | 0.925304i | \(0.623809\pi\) | |||||||
\(72\) | 1.20405e6 | − | 181482.i | 0.380174 | − | 0.0573020i | ||||
\(73\) | −417703. | + | 5.57386e6i | −0.125672 | + | 1.67697i | 0.476937 | + | 0.878937i | \(0.341747\pi\) |
−0.602609 | + | 0.798036i | \(0.705872\pi\) | |||||||
\(74\) | 2.31630e6 | − | 5.90184e6i | 0.664484 | − | 1.69308i | ||||
\(75\) | 605902. | + | 2.65463e6i | 0.165839 | + | 0.726590i | ||||
\(76\) | −18882.0 | − | 251963.i | −0.00493402 | − | 0.0658399i | ||||
\(77\) | −3.39753e6 | − | 1.04800e6i | −0.848098 | − | 0.261604i | ||||
\(78\) | 3.87172e6 | − | 1.86452e6i | 0.923789 | − | 0.444873i | ||||
\(79\) | −383200. | + | 663722.i | −0.0874442 | + | 0.151458i | −0.906430 | − | 0.422356i | \(-0.861203\pi\) |
0.818986 | + | 0.573814i | \(0.194537\pi\) | |||||||
\(80\) | −415041. | − | 718872.i | −0.0906308 | − | 0.156977i | ||||
\(81\) | −1.64156e6 | − | 1.11920e6i | −0.343209 | − | 0.233996i | ||||
\(82\) | −1.87011e6 | + | 8.19350e6i | −0.374558 | + | 1.64105i | ||||
\(83\) | 5.25249e6 | + | 791686.i | 1.00831 | + | 0.151978i | 0.632369 | − | 0.774668i | \(-0.282083\pi\) |
0.375937 | + | 0.926645i | \(0.377321\pi\) | |||||||
\(84\) | 156862. | + | 196699.i | 0.0288762 | + | 0.0362096i | ||||
\(85\) | −784422. | −0.138543 | ||||||||
\(86\) | 5.66978e6 | − | 2.62908e6i | 0.961217 | − | 0.445717i | ||||
\(87\) | −6.15371e6 | −1.00189 | ||||||||
\(88\) | −6.66658e6 | − | 8.35962e6i | −1.04283 | − | 1.30767i | ||||
\(89\) | 6.58533e6 | + | 992579.i | 0.990177 | + | 0.149245i | 0.624104 | − | 0.781341i | \(-0.285464\pi\) |
0.366073 | + | 0.930586i | \(0.380702\pi\) | |||||||
\(90\) | 110361. | − | 483525.i | 0.0159576 | − | 0.0699150i | ||||
\(91\) | 3.70255e6 | + | 2.52435e6i | 0.515058 | + | 0.351160i | ||||
\(92\) | 462169. | + | 800500.i | 0.0618790 | + | 0.107178i | ||||
\(93\) | 4.42505e6 | − | 7.66441e6i | 0.570463 | − | 0.988071i | ||||
\(94\) | −4.78286e6 | + | 2.30330e6i | −0.593936 | + | 0.286025i | ||||
\(95\) | 703787. | + | 217089.i | 0.0842187 | + | 0.0259780i | ||||
\(96\) | 120981. | + | 1.61438e6i | 0.0139562 | + | 0.186233i | ||||
\(97\) | 763208. | + | 3.34383e6i | 0.0849067 | + | 0.372001i | 0.999474 | − | 0.0324334i | \(-0.0103257\pi\) |
−0.914567 | + | 0.404434i | \(0.867469\pi\) | |||||||
\(98\) | 2.72899e6 | − | 6.95336e6i | 0.292895 | − | 0.746283i | ||||
\(99\) | 536838. | − | 7.16361e6i | 0.0556058 | − | 0.742008i | ||||
\(100\) | 1.17985e6 | − | 177834.i | 0.117985 | − | 0.0177834i | ||||
\(101\) | −1.12886e7 | − | 1.04742e7i | −1.09022 | − | 1.01157i | −0.999877 | − | 0.0156638i | \(-0.995014\pi\) |
−0.0903409 | − | 0.995911i | \(-0.528796\pi\) | |||||||
\(102\) | 6.63254e6 | + | 3.19406e6i | 0.618841 | + | 0.298018i | ||||
\(103\) | −1.41216e7 | + | 9.62797e6i | −1.27337 | + | 0.868169i | −0.995712 | − | 0.0925102i | \(-0.970511\pi\) |
−0.277659 | + | 0.960680i | \(0.589559\pi\) | |||||||
\(104\) | 4.92342e6 | + | 1.25447e7i | 0.429191 | + | 1.09356i | ||||
\(105\) | −700772. | + | 216159.i | −0.0590764 | + | 0.0182227i | ||||
\(106\) | 1.17130e7 | − | 1.08681e7i | 0.955210 | − | 0.886305i | ||||
\(107\) | −341172. | + | 427816.i | −0.0269234 | + | 0.0337609i | −0.795111 | − | 0.606464i | \(-0.792587\pi\) |
0.768188 | + | 0.640225i | \(0.221159\pi\) | |||||||
\(108\) | −1.08326e6 | + | 1.35837e6i | −0.0827466 | + | 0.103761i | ||||
\(109\) | −7.09127e6 | + | 6.57974e6i | −0.524483 | + | 0.486649i | −0.897401 | − | 0.441215i | \(-0.854548\pi\) |
0.372918 | + | 0.927864i | \(0.378357\pi\) | |||||||
\(110\) | −4.16160e6 | + | 1.28368e6i | −0.298116 | + | 0.0919567i | ||||
\(111\) | −6.92005e6 | − | 1.76320e7i | −0.480263 | − | 1.22369i | ||||
\(112\) | −6.71194e6 | + | 4.57612e6i | −0.451424 | + | 0.307776i | ||||
\(113\) | 3.12540e6 | + | 1.50511e6i | 0.203766 | + | 0.0981285i | 0.532984 | − | 0.846126i | \(-0.321071\pi\) |
−0.329218 | + | 0.944254i | \(0.606785\pi\) | |||||||
\(114\) | −5.06678e6 | − | 4.70128e6i | −0.320306 | − | 0.297201i | ||||
\(115\) | −2.66426e6 | + | 401573.i | −0.163356 | + | 0.0246219i | ||||
\(116\) | −201514. | + | 2.68902e6i | −0.0119868 | + | 0.159953i | ||||
\(117\) | −3.30782e6 | + | 8.42818e6i | −0.190937 | + | 0.486501i | ||||
\(118\) | 49158.9 | + | 215379.i | 0.00275433 | + | 0.0120675i | ||||
\(119\) | 573676. | + | 7.65517e6i | 0.0312070 | + | 0.416429i | ||||
\(120\) | −2.10742e6 | − | 650051.i | −0.111331 | − | 0.0343410i | ||||
\(121\) | −3.92765e7 | + | 1.89146e7i | −2.01551 | + | 0.970617i | ||||
\(122\) | −2.27300e6 | + | 3.93695e6i | −0.113329 | + | 0.196291i | ||||
\(123\) | 1.25540e7 | + | 2.17441e7i | 0.608293 | + | 1.05359i | ||||
\(124\) | −3.20425e6 | − | 2.18462e6i | −0.150921 | − | 0.102897i | ||||
\(125\) | −1.56915e6 | + | 6.87491e6i | −0.0718588 | + | 0.314834i | ||||
\(126\) | −4.79943e6 | − | 723398.i | −0.213744 | − | 0.0322167i | ||||
\(127\) | 7.14175e6 | + | 8.95547e6i | 0.309380 | + | 0.387950i | 0.912076 | − | 0.410021i | \(-0.134478\pi\) |
−0.602697 | + | 0.797970i | \(0.705907\pi\) | |||||||
\(128\) | −2.71338e7 | −1.14360 | ||||||||
\(129\) | 7.07454e6 | − | 1.72790e7i | 0.290158 | − | 0.708687i | ||||
\(130\) | 5.48898e6 | 0.219124 | ||||||||
\(131\) | 1.72964e7 | + | 2.16890e7i | 0.672211 | + | 0.842926i | 0.994611 | − | 0.103678i | \(-0.0330610\pi\) |
−0.322400 | + | 0.946604i | \(0.604490\pi\) | |||||||
\(132\) | 4.41375e6 | + | 665266.i | 0.167032 | + | 0.0251760i | ||||
\(133\) | 1.60387e6 | − | 7.02702e6i | 0.0591138 | − | 0.258994i | ||||
\(134\) | −3.66129e7 | − | 2.49623e7i | −1.31452 | − | 0.896225i | ||||
\(135\) | −2.53220e6 | − | 4.38590e6i | −0.0885788 | − | 0.153423i | ||||
\(136\) | −1.15429e7 | + | 1.99929e7i | −0.393485 | + | 0.681537i | ||||
\(137\) | 4.66351e7 | − | 2.24583e7i | 1.54950 | − | 0.746200i | 0.553274 | − | 0.833000i | \(-0.313378\pi\) |
0.996226 | + | 0.0868002i | \(0.0276642\pi\) | |||||||
\(138\) | 2.41623e7 | + | 7.45310e6i | 0.782640 | + | 0.241413i | ||||
\(139\) | 188259. | + | 2.51214e6i | 0.00594571 | + | 0.0793399i | 0.999387 | − | 0.0350010i | \(-0.0111434\pi\) |
−0.993442 | + | 0.114341i | \(0.963524\pi\) | |||||||
\(140\) | 71508.4 | + | 313299.i | 0.00220246 | + | 0.00964962i | ||||
\(141\) | −5.79416e6 | + | 1.47633e7i | −0.174070 | + | 0.443523i | ||||
\(142\) | 1.89854e6 | − | 2.53342e7i | 0.0556429 | − | 0.742502i | ||||
\(143\) | 7.86167e7 | − | 1.18496e7i | 2.24822 | − | 0.338865i | ||||
\(144\) | −1.20316e7 | − | 1.11637e7i | −0.335781 | − | 0.311559i | ||||
\(145\) | −7.08181e6 | − | 3.41042e6i | −0.192911 | − | 0.0929009i | ||||
\(146\) | 5.53600e7 | − | 3.77438e7i | 1.47218 | − | 1.00371i | ||||
\(147\) | −8.15299e6 | − | 2.07735e7i | −0.211693 | − | 0.539384i | ||||
\(148\) | −7.93137e6 | + | 2.44650e6i | −0.201109 | + | 0.0620340i | ||||
\(149\) | −1.44893e7 | + | 1.34441e7i | −0.358836 | + | 0.332951i | −0.838903 | − | 0.544281i | \(-0.816803\pi\) |
0.480067 | + | 0.877232i | \(0.340612\pi\) | |||||||
\(150\) | 2.03507e7 | − | 2.55189e7i | 0.492333 | − | 0.617366i | ||||
\(151\) | 1.67119e7 | − | 2.09560e7i | 0.395008 | − | 0.495325i | −0.544064 | − | 0.839043i | \(-0.683115\pi\) |
0.939073 | + | 0.343719i | \(0.111687\pi\) | |||||||
\(152\) | 1.58894e7 | − | 1.47432e7i | 0.366990 | − | 0.340517i | ||||
\(153\) | −1.48212e7 | + | 4.57173e6i | −0.334551 | + | 0.103195i | ||||
\(154\) | 1.55710e7 | + | 3.96742e7i | 0.343553 | + | 0.875358i | ||||
\(155\) | 9.34009e6 | − | 6.36797e6i | 0.201461 | − | 0.137354i | ||||
\(156\) | −5.06864e6 | − | 2.44093e6i | −0.106894 | − | 0.0514777i | ||||
\(157\) | 1.63538e7 | + | 1.51741e7i | 0.337265 | + | 0.312936i | 0.830563 | − | 0.556924i | \(-0.188019\pi\) |
−0.493299 | + | 0.869860i | \(0.664209\pi\) | |||||||
\(158\) | 9.08438e6 | − | 1.36925e6i | 0.183230 | − | 0.0276174i | ||||
\(159\) | 3.56734e6 | − | 4.76028e7i | 0.0703808 | − | 0.939167i | ||||
\(160\) | −755471. | + | 1.92491e6i | −0.0145813 | + | 0.0371527i | ||||
\(161\) | 5.86742e6 | + | 2.57069e7i | 0.110804 | + | 0.485466i | ||||
\(162\) | 1.77977e6 | + | 2.37494e7i | 0.0328898 | + | 0.438884i | ||||
\(163\) | −2.57897e7 | − | 7.95508e6i | −0.466434 | − | 0.143876i | 0.0526249 | − | 0.998614i | \(-0.483241\pi\) |
−0.519059 | + | 0.854739i | \(0.673717\pi\) | |||||||
\(164\) | 9.91275e6 | − | 4.77373e6i | 0.175485 | − | 0.0845092i | ||||
\(165\) | −6.50550e6 | + | 1.12678e7i | −0.112742 | + | 0.195275i | ||||
\(166\) | −3.18369e7 | − | 5.51432e7i | −0.540198 | − | 0.935650i | ||||
\(167\) | −2.12195e7 | − | 1.44672e7i | −0.352556 | − | 0.240369i | 0.374072 | − | 0.927400i | \(-0.377961\pi\) |
−0.726628 | + | 0.687031i | \(0.758914\pi\) | |||||||
\(168\) | −4.80262e6 | + | 2.10417e7i | −0.0781441 | + | 0.342372i | ||||
\(169\) | −3.70378e7 | − | 5.58256e6i | −0.590259 | − | 0.0889672i | ||||
\(170\) | 5.86269e6 | + | 7.35158e6i | 0.0915220 | + | 0.114765i | ||||
\(171\) | 1.45629e7 | 0.222721 | ||||||||
\(172\) | −7.31883e6 | − | 3.65723e6i | −0.109671 | − | 0.0548029i | ||||
\(173\) | 6.04291e7 | 0.887329 | 0.443664 | − | 0.896193i | \(-0.353678\pi\) | ||||
0.443664 | + | 0.896193i | \(0.353678\pi\) | |||||||
\(174\) | 4.59922e7 | + | 5.76724e7i | 0.661853 | + | 0.829937i | ||||
\(175\) | 3.36568e7 | + | 5.07294e6i | 0.474722 | + | 0.0715528i | ||||
\(176\) | −3.20709e7 | + | 1.40512e8i | −0.443421 | + | 1.94276i | ||||
\(177\) | 545320. | + | 371793.i | 0.00739171 | + | 0.00503958i | ||||
\(178\) | −3.99157e7 | − | 6.91360e7i | −0.530486 | − | 0.918828i | ||||
\(179\) | −1.53254e7 | + | 2.65443e7i | −0.199722 | + | 0.345929i | −0.948438 | − | 0.316962i | \(-0.897337\pi\) |
0.748716 | + | 0.662891i | \(0.230671\pi\) | |||||||
\(180\) | −584984. | + | 281713.i | −0.00747636 | + | 0.00360042i | ||||
\(181\) | −1.21527e8 | − | 3.74862e7i | −1.52335 | − | 0.469891i | −0.583681 | − | 0.811983i | \(-0.698388\pi\) |
−0.939666 | + | 0.342092i | \(0.888864\pi\) | |||||||
\(182\) | −4.01429e6 | − | 5.35669e7i | −0.0493581 | − | 0.658638i | ||||
\(183\) | 3.02214e6 | + | 1.32408e7i | 0.0364532 | + | 0.159712i | ||||
\(184\) | −2.89700e7 | + | 7.38144e7i | −0.342836 | + | 0.873531i | ||||
\(185\) | 1.80802e6 | − | 2.41264e7i | 0.0209944 | − | 0.280151i | ||||
\(186\) | −1.04903e8 | + | 1.58116e7i | −1.19534 | + | 0.180169i | ||||
\(187\) | 9.98398e7 | + | 9.26378e7i | 1.11650 | + | 1.03596i | ||||
\(188\) | 6.26145e6 | + | 3.01536e6i | 0.0687262 | + | 0.0330968i | ||||
\(189\) | −4.09501e7 | + | 2.79193e7i | −0.441203 | + | 0.300807i | ||||
\(190\) | −3.22547e6 | − | 8.21837e6i | −0.0341158 | − | 0.0869257i | ||||
\(191\) | −2.22771e7 | + | 6.87158e6i | −0.231335 | + | 0.0713575i | −0.408256 | − | 0.912868i | \(-0.633863\pi\) |
0.176920 | + | 0.984225i | \(0.443387\pi\) | |||||||
\(192\) | −4.67515e7 | + | 4.33791e7i | −0.476696 | + | 0.442309i | ||||
\(193\) | 1.02800e8 | − | 1.28907e8i | 1.02930 | − | 1.29070i | 0.0733060 | − | 0.997309i | \(-0.476645\pi\) |
0.955993 | − | 0.293390i | \(-0.0947836\pi\) | |||||||
\(194\) | 2.56342e7 | − | 3.21442e7i | 0.252065 | − | 0.316080i | ||||
\(195\) | 1.20210e7 | − | 1.11539e7i | 0.116097 | − | 0.107722i | ||||
\(196\) | −9.34449e6 | + | 2.88239e6i | −0.0886460 | + | 0.0273437i | ||||
\(197\) | −2.45990e7 | − | 6.26772e7i | −0.229238 | − | 0.584088i | 0.769257 | − | 0.638940i | \(-0.220627\pi\) |
−0.998495 | + | 0.0548518i | \(0.982531\pi\) | |||||||
\(198\) | −7.11494e7 | + | 4.85088e7i | −0.651393 | + | 0.444112i | ||||
\(199\) | −8.44234e7 | − | 4.06562e7i | −0.759412 | − | 0.365713i | 0.0137640 | − | 0.999905i | \(-0.495619\pi\) |
−0.773176 | + | 0.634192i | \(0.781333\pi\) | |||||||
\(200\) | 7.50341e7 | + | 6.96215e7i | 0.663214 | + | 0.615373i | ||||
\(201\) | −1.30908e8 | + | 1.97312e7i | −1.13705 | + | 0.171382i | ||||
\(202\) | −1.37948e7 | + | 1.84079e8i | −0.117757 | + | 1.57136i | ||||
\(203\) | −2.81031e7 | + | 7.16055e7i | −0.235786 | + | 0.600773i | ||||
\(204\) | −2.14451e6 | − | 9.39572e6i | −0.0176857 | − | 0.0774862i | ||||
\(205\) | 2.39665e6 | + | 3.19810e7i | 0.0194297 | + | 0.259271i | ||||
\(206\) | 1.95777e8 | + | 6.03891e7i | 1.56036 | + | 0.481308i | ||||
\(207\) | −4.79992e7 | + | 2.31152e7i | −0.376130 | + | 0.181135i | ||||
\(208\) | 9.08250e7 | − | 1.57313e8i | 0.699816 | − | 1.21212i | ||||
\(209\) | −6.39391e7 | − | 1.10746e8i | −0.484456 | − | 0.839102i | ||||
\(210\) | 7.26333e6 | + | 4.95206e6i | 0.0541213 | + | 0.0368993i | ||||
\(211\) | 4.00013e7 | − | 1.75257e8i | 0.293147 | − | 1.28436i | −0.586971 | − | 0.809608i | \(-0.699680\pi\) |
0.880119 | − | 0.474754i | \(-0.157463\pi\) | |||||||
\(212\) | −2.06845e7 | − | 3.11768e6i | −0.149097 | − | 0.0224727i | ||||
\(213\) | −4.73224e7 | − | 5.93404e7i | −0.335535 | − | 0.420748i | ||||
\(214\) | 6.55936e6 | 0.0457523 | ||||||||
\(215\) | 1.77176e7 | − | 1.59643e7i | 0.121583 | − | 0.109550i | ||||
\(216\) | −1.49047e8 | −1.00632 | ||||||||
\(217\) | −6.89757e7 | − | 8.64929e7i | −0.458234 | − | 0.574607i | ||||
\(218\) | 1.14665e8 | + | 1.72829e7i | 0.749603 | + | 0.112985i | ||||
\(219\) | 4.45426e7 | − | 1.95154e8i | 0.286563 | − | 1.25552i | ||||
\(220\) | 4.71074e6 | + | 3.21173e6i | 0.0298270 | + | 0.0203357i | ||||
\(221\) | −8.58290e7 | − | 1.48660e8i | −0.534886 | − | 0.926450i | ||||
\(222\) | −1.13527e8 | + | 1.96634e8i | −0.696407 | + | 1.20621i | ||||
\(223\) | −2.62947e7 | + | 1.26628e7i | −0.158782 | + | 0.0764652i | −0.511587 | − | 0.859232i | \(-0.670942\pi\) |
0.352805 | + | 0.935697i | \(0.385228\pi\) | |||||||
\(224\) | 1.93377e7 | + | 5.96488e6i | 0.114957 | + | 0.0354596i | ||||
\(225\) | 5.13918e6 | + | 6.85776e7i | 0.0300784 | + | 0.401369i | ||||
\(226\) | −9.25305e6 | − | 4.05403e7i | −0.0533219 | − | 0.233618i | ||||
\(227\) | −1.78116e7 | + | 4.53833e7i | −0.101068 | + | 0.257517i | −0.972460 | − | 0.233071i | \(-0.925123\pi\) |
0.871392 | + | 0.490588i | \(0.163218\pi\) | |||||||
\(228\) | −676208. | + | 9.02337e6i | −0.00377840 | + | 0.0504193i | ||||
\(229\) | 1.58368e8 | − | 2.38702e7i | 0.871453 | − | 0.131350i | 0.301934 | − | 0.953329i | \(-0.402368\pi\) |
0.569519 | + | 0.821978i | \(0.307130\pi\) | |||||||
\(230\) | 2.36760e7 | + | 2.19681e7i | 0.128310 | + | 0.119054i | ||||
\(231\) | 1.14721e8 | + | 5.52466e7i | 0.612350 | + | 0.294892i | ||||
\(232\) | −1.91133e8 | + | 1.30312e8i | −1.00491 | + | 0.685136i | ||||
\(233\) | 8.92749e7 | + | 2.27469e8i | 0.462364 | + | 1.17808i | 0.951984 | + | 0.306148i | \(0.0990402\pi\) |
−0.489620 | + | 0.871936i | \(0.662865\pi\) | |||||||
\(234\) | 1.03711e8 | − | 3.19906e7i | 0.529138 | − | 0.163218i | ||||
\(235\) | −1.48499e7 | + | 1.37787e7i | −0.0746426 | + | 0.0692582i | ||||
\(236\) | 180322. | − | 226117.i | 0.000893010 | − | 0.00111980i | ||||
\(237\) | 1.71126e7 | − | 2.14586e7i | 0.0835022 | − | 0.104708i | ||||
\(238\) | 6.74565e7 | − | 6.25904e7i | 0.324343 | − | 0.300946i | ||||
\(239\) | −5.68889e7 | + | 1.75479e7i | −0.269547 | + | 0.0831443i | −0.426582 | − | 0.904449i | \(-0.640283\pi\) |
0.157035 | + | 0.987593i | \(0.449806\pi\) | |||||||
\(240\) | 1.08605e7 | + | 2.76722e7i | 0.0507121 | + | 0.129212i | ||||
\(241\) | 1.54214e8 | − | 1.05142e8i | 0.709684 | − | 0.483854i | −0.153883 | − | 0.988089i | \(-0.549178\pi\) |
0.863567 | + | 0.504235i | \(0.168225\pi\) | |||||||
\(242\) | 4.70816e8 | + | 2.26733e8i | 2.13549 | + | 1.02840i | ||||
\(243\) | −1.25336e8 | − | 1.16295e8i | −0.560342 | − | 0.519921i | ||||
\(244\) | 5.88489e6 | − | 887005.i | 0.0259343 | − | 0.00390896i | ||||
\(245\) | 2.13016e6 | − | 2.84250e7i | 0.00925401 | − | 0.123486i | ||||
\(246\) | 1.09958e8 | − | 2.80169e8i | 0.470928 | − | 1.19990i | ||||
\(247\) | 3.58643e7 | + | 1.57132e8i | 0.151434 | + | 0.663475i | ||||
\(248\) | −2.48620e7 | − | 3.31760e8i | −0.103504 | − | 1.38116i | ||||
\(249\) | −1.81777e8 | − | 5.60708e7i | −0.746177 | − | 0.230165i | ||||
\(250\) | 7.61591e7 | − | 3.66763e7i | 0.308270 | − | 0.148455i | ||||
\(251\) | −4.65195e7 | + | 8.05741e7i | −0.185685 | + | 0.321616i | −0.943807 | − | 0.330497i | \(-0.892784\pi\) |
0.758122 | + | 0.652113i | \(0.226117\pi\) | |||||||
\(252\) | 3.17706e6 | + | 5.50283e6i | 0.0125062 | + | 0.0216613i | ||||
\(253\) | 3.86527e8 | + | 2.63530e8i | 1.50058 | + | 1.02308i | ||||
\(254\) | 3.05537e7 | − | 1.33865e8i | 0.116989 | − | 0.512564i | ||||
\(255\) | 2.77782e7 | + | 4.18689e6i | 0.104909 | + | 0.0158125i | ||||
\(256\) | 6.06707e7 | + | 7.60787e7i | 0.226016 | + | 0.283415i | ||||
\(257\) | −1.59975e8 | −0.587875 | −0.293937 | − | 0.955825i | \(-0.594966\pi\) | ||||
−0.293937 | + | 0.955825i | \(0.594966\pi\) | |||||||
\(258\) | −2.14813e8 | + | 6.28390e7i | −0.778737 | + | 0.227804i | ||||
\(259\) | −2.36772e8 | −0.846800 | ||||||||
\(260\) | −4.48031e6 | − | 5.61814e6i | −0.0158089 | − | 0.0198237i | ||||
\(261\) | −1.53683e8 | − | 2.31640e7i | −0.535037 | − | 0.0806439i | ||||
\(262\) | 7.39971e7 | − | 3.24202e8i | 0.254191 | − | 1.11368i | ||||
\(263\) | 3.37928e8 | + | 2.30396e8i | 1.14546 | + | 0.780961i | 0.978752 | − | 0.205046i | \(-0.0657343\pi\) |
0.166707 | + | 0.986007i | \(0.446687\pi\) | |||||||
\(264\) | 1.91459e8 | + | 3.31616e8i | 0.640415 | + | 1.10923i | ||||
\(265\) | 3.04871e7 | − | 5.28052e7i | 0.100637 | − | 0.174308i | ||||
\(266\) | −7.78442e7 | + | 3.74878e7i | −0.253595 | + | 0.122125i | ||||
\(267\) | −2.27904e8 | − | 7.02990e7i | −0.732761 | − | 0.226027i | ||||
\(268\) | 4.33523e6 | + | 5.78496e7i | 0.0137575 | + | 0.183581i | ||||
\(269\) | 8.54251e7 | + | 3.74272e8i | 0.267579 | + | 1.17234i | 0.912820 | + | 0.408362i | \(0.133900\pi\) |
−0.645241 | + | 0.763979i | \(0.723243\pi\) | |||||||
\(270\) | −2.21791e7 | + | 5.65115e7i | −0.0685758 | + | 0.174728i | ||||
\(271\) | −1.13546e7 | + | 1.51516e8i | −0.0346560 | + | 0.462452i | 0.952698 | + | 0.303919i | \(0.0982953\pi\) |
−0.987354 | + | 0.158532i | \(0.949324\pi\) | |||||||
\(272\) | 3.07704e8 | − | 4.63789e7i | 0.927133 | − | 0.139743i | ||||
\(273\) | −1.17642e8 | − | 1.09156e8i | −0.349939 | − | 0.324696i | ||||
\(274\) | −5.59025e8 | − | 2.69212e8i | −1.64174 | − | 0.790620i | ||||
\(275\) | 4.98946e8 | − | 3.40176e8i | 1.44674 | − | 0.986368i | ||||
\(276\) | −1.20938e7 | − | 3.08144e7i | −0.0346242 | − | 0.0882210i | ||||
\(277\) | −9.39170e7 | + | 2.89695e7i | −0.265500 | + | 0.0818960i | −0.424647 | − | 0.905359i | \(-0.639602\pi\) |
0.159147 | + | 0.987255i | \(0.449126\pi\) | |||||||
\(278\) | 2.21367e7 | − | 2.05398e7i | 0.0617953 | − | 0.0573376i | ||||
\(279\) | 1.39362e8 | − | 1.74754e8i | 0.384176 | − | 0.481741i | ||||
\(280\) | −1.71884e7 | + | 2.15535e7i | −0.0467931 | + | 0.0586767i | ||||
\(281\) | −3.63108e8 | + | 3.36915e8i | −0.976257 | + | 0.905834i | −0.995574 | − | 0.0939792i | \(-0.970041\pi\) |
0.0193170 | + | 0.999813i | \(0.493851\pi\) | |||||||
\(282\) | 1.81666e8 | − | 5.60365e7i | 0.482394 | − | 0.148799i | ||||
\(283\) | 6.40628e7 | + | 1.63229e8i | 0.168017 | + | 0.428100i | 0.989938 | − | 0.141501i | \(-0.0451929\pi\) |
−0.821921 | + | 0.569601i | \(0.807098\pi\) | |||||||
\(284\) | −2.74800e7 | + | 1.87355e7i | −0.0711872 | + | 0.0485346i | ||||
\(285\) | −2.37640e7 | − | 1.14441e7i | −0.0608082 | − | 0.0292837i | ||||
\(286\) | −6.98627e8 | − | 6.48231e8i | −1.76589 | − | 1.63851i | ||||
\(287\) | 3.10350e8 | − | 4.67778e7i | 0.774935 | − | 0.116803i | ||||
\(288\) | −3.05551e6 | + | 4.07730e7i | −0.00753721 | + | 0.100577i | ||||
\(289\) | −4.24804e7 | + | 1.08238e8i | −0.103525 | + | 0.263778i | ||||
\(290\) | 2.09664e7 | + | 9.18596e7i | 0.0504812 | + | 0.221173i | ||||
\(291\) | −9.17909e6 | − | 1.22487e8i | −0.0218361 | − | 0.291382i | ||||
\(292\) | −8.38188e7 | − | 2.58547e7i | −0.197016 | − | 0.0607714i | ||||
\(293\) | 3.93378e8 | − | 1.89441e8i | 0.913636 | − | 0.439984i | 0.0828412 | − | 0.996563i | \(-0.473601\pi\) |
0.830795 | + | 0.556579i | \(0.187886\pi\) | |||||||
\(294\) | −1.33754e8 | + | 2.31668e8i | −0.306966 | + | 0.531681i | ||||
\(295\) | 421515. | + | 730086.i | 0.000955953 | + | 0.00165576i | ||||
\(296\) | −5.88314e8 | − | 4.01106e8i | −1.31852 | − | 0.898955i | ||||
\(297\) | −1.95667e8 | + | 8.57274e8i | −0.433382 | + | 1.89877i | ||||
\(298\) | 2.34290e8 | + | 3.53135e7i | 0.512857 | + | 0.0773007i | ||||
\(299\) | −3.67620e8 | − | 4.60981e8i | −0.795334 | − | 0.997318i | ||||
\(300\) | −4.27304e7 | −0.0913718 | ||||||||
\(301\) | −1.68753e8 | − | 1.61231e8i | −0.356671 | − | 0.340774i | ||||
\(302\) | −3.21302e8 | −0.671258 | ||||||||
\(303\) | 3.43847e8 | + | 4.31170e8i | 0.710094 | + | 0.890429i | ||||
\(304\) | −2.88909e8 | − | 4.35460e7i | −0.589798 | − | 0.0888977i | ||||
\(305\) | −3.86022e6 | + | 1.69127e7i | −0.00779045 | + | 0.0341322i | ||||
\(306\) | 1.53618e8 | + | 1.04735e8i | 0.306491 | + | 0.208962i | ||||
\(307\) | −1.30543e7 | − | 2.26106e7i | −0.0257494 | − | 0.0445994i | 0.852864 | − | 0.522134i | \(-0.174864\pi\) |
−0.878613 | + | 0.477535i | \(0.841531\pi\) | |||||||
\(308\) | 2.78981e7 | − | 4.83210e7i | 0.0544061 | − | 0.0942341i | ||||
\(309\) | 5.51469e8 | − | 2.65574e8i | 1.06333 | − | 0.512071i | ||||
\(310\) | −1.29487e8 | − | 3.99415e7i | −0.246866 | − | 0.0761481i | ||||
\(311\) | 1.36170e7 | + | 1.81707e8i | 0.0256697 | + | 0.342538i | 0.995221 | + | 0.0976495i | \(0.0311324\pi\) |
−0.969551 | + | 0.244889i | \(0.921249\pi\) | |||||||
\(312\) | −1.07392e8 | − | 4.70515e8i | −0.200185 | − | 0.877066i | ||||
\(313\) | 1.34400e8 | − | 3.42446e8i | 0.247739 | − | 0.631229i | −0.751866 | − | 0.659316i | \(-0.770846\pi\) |
0.999605 | + | 0.0280864i | \(0.00894135\pi\) | |||||||
\(314\) | 1.99847e7 | − | 2.66678e8i | 0.0364288 | − | 0.486108i | ||||
\(315\) | −1.83148e7 | + | 2.76051e6i | −0.0330153 | + | 0.00497625i | ||||
\(316\) | −8.81649e6 | − | 8.18051e6i | −0.0157178 | − | 0.0145840i | ||||
\(317\) | −5.35423e8 | − | 2.57846e8i | −0.944039 | − | 0.454625i | −0.102447 | − | 0.994738i | \(-0.532667\pi\) |
−0.841592 | + | 0.540113i | \(0.818381\pi\) | |||||||
\(318\) | −4.72794e8 | + | 3.22346e8i | −0.824474 | + | 0.562117i | ||||
\(319\) | 4.98600e8 | + | 1.27041e9i | 0.859972 | + | 2.19117i | ||||
\(320\) | −7.78436e7 | + | 2.40116e7i | −0.132800 | + | 0.0409633i | ||||
\(321\) | 1.43652e7 | − | 1.33289e7i | 0.0242406 | − | 0.0224920i | ||||
\(322\) | 1.97071e8 | − | 2.47120e8i | 0.328949 | − | 0.412489i | ||||
\(323\) | −1.72146e8 | + | 2.15864e8i | −0.284242 | + | 0.356428i | ||||
\(324\) | 2.28555e7 | − | 2.12068e7i | 0.0373322 | − | 0.0346392i | ||||
\(325\) | −7.27289e8 | + | 2.24339e8i | −1.17521 | + | 0.362504i | ||||
\(326\) | 1.18195e8 | + | 3.01156e8i | 0.188946 | + | 0.481426i | ||||
\(327\) | 2.86238e8 | − | 1.95154e8i | 0.452699 | − | 0.308645i | ||||
\(328\) | 8.50381e8 | + | 4.09522e8i | 1.33062 | + | 0.640794i | ||||
\(329\) | 1.45327e8 | + | 1.34844e8i | 0.224988 | + | 0.208759i | ||||
\(330\) | 1.54223e8 | − | 2.32454e7i | 0.236239 | − | 0.0356073i | ||||
\(331\) | −8.81692e7 | + | 1.17654e9i | −0.133635 | + | 1.78323i | 0.379767 | + | 0.925082i | \(0.376004\pi\) |
−0.513402 | + | 0.858148i | \(0.671615\pi\) | |||||||
\(332\) | −3.04542e7 | + | 7.75961e7i | −0.0456735 | + | 0.116374i | ||||
\(333\) | −1.06451e8 | − | 4.66392e8i | −0.157977 | − | 0.692143i | ||||
\(334\) | 2.30061e7 | + | 3.06996e8i | 0.0337856 | + | 0.450837i | ||||
\(335\) | −1.61586e8 | − | 4.98428e7i | −0.234827 | − | 0.0724345i | ||||
\(336\) | 2.62110e8 | − | 1.26226e8i | 0.376961 | − | 0.181535i | ||||
\(337\) | 2.29024e7 | − | 3.96681e7i | 0.0325969 | − | 0.0564595i | −0.849267 | − | 0.527964i | \(-0.822956\pi\) |
0.881864 | + | 0.471505i | \(0.156289\pi\) | |||||||
\(338\) | 2.24498e8 | + | 3.88841e8i | 0.316230 | + | 0.547726i | ||||
\(339\) | −1.02644e8 | − | 6.99815e7i | −0.143098 | − | 0.0975628i | ||||
\(340\) | 2.73921e6 | − | 1.20013e7i | 0.00377963 | − | 0.0165597i | ||||
\(341\) | −1.94083e9 | − | 2.92533e8i | −2.65061 | − | 0.399516i | ||||
\(342\) | −1.08841e8 | − | 1.36483e8i | −0.147130 | − | 0.184496i | ||||
\(343\) | −6.47627e8 | −0.866553 | ||||||||
\(344\) | −1.46170e8 | − | 6.86493e8i | −0.193599 | − | 0.909247i | ||||
\(345\) | 9.64911e7 | 0.126509 | ||||||||
\(346\) | −4.51641e8 | − | 5.66340e8i | −0.586174 | − | 0.735039i | ||||
\(347\) | 9.42238e8 | + | 1.42020e8i | 1.21062 | + | 0.182472i | 0.723164 | − | 0.690676i | \(-0.242687\pi\) |
0.487455 | + | 0.873148i | \(0.337925\pi\) | |||||||
\(348\) | 2.14888e7 | − | 9.41488e7i | 0.0273329 | − | 0.119753i | ||||
\(349\) | 6.80287e8 | + | 4.63812e8i | 0.856650 | + | 0.584054i | 0.910040 | − | 0.414520i | \(-0.136050\pi\) |
−0.0533906 | + | 0.998574i | \(0.517003\pi\) | |||||||
\(350\) | −2.04004e8 | − | 3.53345e8i | −0.254331 | − | 0.440515i | ||||
\(351\) | 5.54131e8 | − | 9.59783e8i | 0.683971 | − | 1.18467i | ||||
\(352\) | 3.23481e8 | − | 1.55780e8i | 0.395320 | − | 0.190376i | ||||
\(353\) | 8.42388e7 | + | 2.59842e7i | 0.101930 | + | 0.0314411i | 0.345301 | − | 0.938492i | \(-0.387777\pi\) |
−0.243371 | + | 0.969933i | \(0.578253\pi\) | |||||||
\(354\) | −591234. | − | 7.88946e6i | −0.000708350 | − | 0.00945227i | ||||
\(355\) | −2.15728e7 | − | 9.45165e7i | −0.0255921 | − | 0.112126i | ||||
\(356\) | −3.81821e7 | + | 9.72864e7i | −0.0448523 | + | 0.114282i | ||||
\(357\) | 2.05446e7 | − | 2.74149e8i | 0.0238979 | − | 0.318895i | ||||
\(358\) | 3.63313e8 | − | 5.47606e7i | 0.418495 | − | 0.0630780i | ||||
\(359\) | 9.48125e8 | + | 8.79731e8i | 1.08152 | + | 1.00350i | 0.999977 | + | 0.00683509i | \(0.00217569\pi\) |
0.0815443 | + | 0.996670i | \(0.474015\pi\) | |||||||
\(360\) | −5.01838e7 | − | 2.41672e7i | −0.0566897 | − | 0.0273003i | ||||
\(361\) | −5.24361e8 | + | 3.57503e8i | −0.586617 | + | 0.399949i | ||||
\(362\) | 5.56963e8 | + | 1.41912e9i | 0.617087 | + | 1.57231i | ||||
\(363\) | 1.49183e9 | − | 4.60169e8i | 1.63699 | − | 0.504945i | ||||
\(364\) | −5.15508e7 | + | 4.78321e7i | −0.0560248 | + | 0.0519834i | ||||
\(365\) | 1.59416e8 | − | 1.99901e8i | 0.171596 | − | 0.215174i | ||||
\(366\) | 1.01506e8 | − | 1.27284e8i | 0.108220 | − | 0.135703i | ||||
\(367\) | −6.08182e7 | + | 5.64311e7i | −0.0642248 | + | 0.0595919i | −0.711632 | − | 0.702552i | \(-0.752044\pi\) |
0.647407 | + | 0.762144i | \(0.275853\pi\) | |||||||
\(368\) | 1.02136e9 | − | 3.15049e8i | 1.06835 | − | 0.329542i | ||||
\(369\) | 2.31674e8 | + | 5.90295e8i | 0.240040 | + | 0.611613i | ||||
\(370\) | −2.39625e8 | + | 1.63373e8i | −0.245938 | + | 0.167678i | ||||
\(371\) | −5.37623e8 | − | 2.58905e8i | −0.546599 | − | 0.263228i | ||||
\(372\) | 1.01809e8 | + | 9.44654e7i | 0.102539 | + | 0.0951420i | ||||
\(373\) | −1.41350e9 | + | 2.13051e8i | −1.41031 | + | 0.212570i | −0.809640 | − | 0.586927i | \(-0.800338\pi\) |
−0.600670 | + | 0.799497i | \(0.705099\pi\) | |||||||
\(374\) | 1.22006e8 | − | 1.62806e9i | 0.120596 | − | 1.60924i | ||||
\(375\) | 9.22624e7 | − | 2.35081e8i | 0.0903473 | − | 0.230201i | ||||
\(376\) | 1.32665e8 | + | 5.81242e8i | 0.128706 | + | 0.563897i | ||||
\(377\) | −1.28542e8 | − | 1.71527e9i | −0.123552 | − | 1.64869i | ||||
\(378\) | 5.67716e8 | + | 1.75117e8i | 0.540642 | + | 0.166766i | ||||
\(379\) | 1.45607e9 | − | 7.01208e8i | 1.37387 | − | 0.661622i | 0.406188 | − | 0.913790i | \(-0.366858\pi\) |
0.967683 | + | 0.252168i | \(0.0811435\pi\) | |||||||
\(380\) | −5.77900e6 | + | 1.00095e7i | −0.00540269 | + | 0.00935773i | ||||
\(381\) | −2.05106e8 | − | 3.55253e8i | −0.189994 | − | 0.329079i | ||||
\(382\) | 2.30897e8 | + | 1.57423e8i | 0.211932 | + | 0.144493i | ||||
\(383\) | 3.00637e8 | − | 1.31718e9i | 0.273431 | − | 1.19798i | −0.632503 | − | 0.774558i | \(-0.717972\pi\) |
0.905933 | − | 0.423420i | \(-0.139171\pi\) | |||||||
\(384\) | 9.60869e8 | + | 1.44828e8i | 0.865974 | + | 0.130525i | ||||
\(385\) | 1.01405e8 | + | 1.27158e8i | 0.0905620 | + | 0.113561i | ||||
\(386\) | −1.97643e9 | −1.74914 | ||||||||
\(387\) | 2.41722e8 | − | 4.04896e8i | 0.211996 | − | 0.355104i | ||||
\(388\) | −5.38242e7 | −0.0467807 | ||||||||
\(389\) | 9.69040e8 | + | 1.21514e9i | 0.834676 | + | 1.04665i | 0.998192 | + | 0.0601100i | \(0.0191451\pi\) |
−0.163516 | + | 0.986541i | \(0.552283\pi\) | |||||||
\(390\) | −1.94377e8 | − | 2.92977e7i | −0.165928 | − | 0.0250096i | ||||
\(391\) | 2.24759e8 | − | 9.84732e8i | 0.190151 | − | 0.833104i | ||||
\(392\) | −6.93133e8 | − | 4.72570e8i | −0.581186 | − | 0.396246i | ||||
\(393\) | −4.96739e8 | − | 8.60376e8i | −0.412814 | − | 0.715014i | ||||
\(394\) | −4.03559e8 | + | 6.98985e8i | −0.332407 | + | 0.575746i | ||||
\(395\) | 3.15860e7 | − | 1.52110e7i | 0.0257873 | − | 0.0124185i | ||||
\(396\) | 1.07725e8 | + | 3.32288e7i | 0.0871734 | + | 0.0268894i | ||||
\(397\) | −9.61784e7 | − | 1.28341e9i | −0.0771455 | − | 1.02944i | −0.892669 | − | 0.450712i | \(-0.851170\pi\) |
0.815524 | − | 0.578724i | \(-0.196449\pi\) | |||||||
\(398\) | 2.49944e8 | + | 1.09507e9i | 0.198724 | + | 0.870668i | ||||
\(399\) | −9.43038e7 | + | 2.40282e8i | −0.0743231 | + | 0.189372i | ||||
\(400\) | 1.03107e8 | − | 1.37586e9i | 0.0805520 | − | 1.07489i | ||||
\(401\) | −1.58279e8 | + | 2.38568e7i | −0.122580 | + | 0.0184759i | −0.210046 | − | 0.977692i | \(-0.567361\pi\) |
0.0874658 | + | 0.996168i | \(0.472123\pi\) | |||||||
\(402\) | 1.16331e9 | + | 1.07939e9i | 0.893109 | + | 0.828684i | ||||
\(403\) | 2.22879e9 | + | 1.07333e9i | 1.69630 | + | 0.816894i | ||||
\(404\) | 1.99671e8 | − | 1.36133e8i | 0.150654 | − | 0.102714i | ||||
\(405\) | 3.32031e7 | + | 8.46002e7i | 0.0248363 | + | 0.0632818i | ||||
\(406\) | 8.81125e8 | − | 2.71791e8i | 0.653426 | − | 0.201555i | ||||
\(407\) | −3.07937e9 | + | 2.85724e9i | −2.26403 | + | 2.10071i | ||||
\(408\) | 5.15473e8 | − | 6.46383e8i | 0.375747 | − | 0.471172i | ||||
\(409\) | −1.22300e9 | + | 1.53359e9i | −0.883882 | + | 1.10835i | 0.109555 | + | 0.993981i | \(0.465057\pi\) |
−0.993438 | + | 0.114373i | \(0.963514\pi\) | |||||||
\(410\) | 2.81813e8 | − | 2.61484e8i | 0.201938 | − | 0.187371i | ||||
\(411\) | −1.77133e9 | + | 5.46383e8i | −1.25850 | + | 0.388196i | ||||
\(412\) | −9.79904e7 | − | 2.49675e8i | −0.0690308 | − | 0.175888i | ||||
\(413\) | 6.81664e6 | − | 4.64751e6i | 0.00476152 | − | 0.00324635i | ||||
\(414\) | 5.75377e8 | + | 2.77087e8i | 0.398521 | + | 0.191917i | ||||
\(415\) | −1.78118e8 | − | 1.65269e8i | −0.122332 | − | 0.113507i | ||||
\(416\) | −4.47461e8 | + | 6.74440e7i | −0.304740 | + | 0.0459321i | ||||
\(417\) | 6.74198e6 | − | 8.99654e7i | 0.00455314 | − | 0.0607574i | ||||
\(418\) | −5.60032e8 | + | 1.42694e9i | −0.375056 | + | 0.955626i | ||||
\(419\) | 1.05297e8 | + | 4.61335e8i | 0.0699304 | + | 0.306385i | 0.997782 | − | 0.0665641i | \(-0.0212037\pi\) |
−0.927852 | + | 0.372949i | \(0.878347\pi\) | |||||||
\(420\) | −860030. | − | 1.14763e7i | −0.000566423 | − | 0.00755839i | ||||
\(421\) | −7.06439e8 | − | 2.17907e8i | −0.461410 | − | 0.142326i | 0.0553306 | − | 0.998468i | \(-0.482379\pi\) |
−0.516741 | + | 0.856142i | \(0.672855\pi\) | |||||||
\(422\) | −1.94147e9 | + | 9.34963e8i | −1.25759 | + | 0.605621i | ||||
\(423\) | −2.00276e8 | + | 3.46888e8i | −0.128658 | + | 0.222843i | ||||
\(424\) | −8.97246e8 | − | 1.55408e9i | −0.571651 | − | 0.990128i | ||||
\(425\) | −1.07727e9 | − | 7.34471e8i | −0.680713 | − | 0.464102i | ||||
\(426\) | −2.02454e8 | + | 8.87008e8i | −0.126880 | + | 0.555897i | ||||
\(427\) | 1.67874e8 | + | 2.53030e7i | 0.104349 | + | 0.0157280i | ||||
\(428\) | −5.35400e6 | − | 6.71370e6i | −0.00330084 | − | 0.00413913i | ||||
\(429\) | −2.84725e9 | −1.74110 | ||||||||
\(430\) | −2.82036e8 | − | 4.67340e7i | −0.171067 | − | 0.0283461i | ||||
\(431\) | 1.34895e9 | 0.811569 | 0.405784 | − | 0.913969i | \(-0.366998\pi\) | ||||
0.405784 | + | 0.913969i | \(0.366998\pi\) | |||||||
\(432\) | 1.25262e9 | + | 1.57073e9i | 0.747525 | + | 0.937367i | ||||
\(433\) | 3.29223e8 | + | 4.96223e7i | 0.194887 | + | 0.0293744i | 0.245760 | − | 0.969331i | \(-0.420962\pi\) |
−0.0508736 | + | 0.998705i | \(0.516201\pi\) | |||||||
\(434\) | −2.95091e8 | + | 1.29288e9i | −0.173277 | + | 0.759177i | ||||
\(435\) | 2.32580e8 | + | 1.58570e8i | 0.135475 | + | 0.0923654i | ||||
\(436\) | −7.59040e7 | − | 1.31470e8i | −0.0438593 | − | 0.0759666i | ||||
\(437\) | −4.74180e8 | + | 8.21303e8i | −0.271805 | + | 0.470781i | ||||
\(438\) | −2.16188e9 | + | 1.04111e9i | −1.22934 | + | 0.592020i | ||||
\(439\) | −1.43742e9 | − | 4.43386e8i | −0.810884 | − | 0.250125i | −0.138534 | − | 0.990358i | \(-0.544239\pi\) |
−0.672350 | + | 0.740233i | \(0.734715\pi\) | |||||||
\(440\) | 3.65509e7 | + | 4.87738e8i | 0.0204557 | + | 0.272962i | ||||
\(441\) | −1.25417e8 | − | 5.49488e8i | −0.0696340 | − | 0.305086i | ||||
\(442\) | −7.51762e8 | + | 1.91546e9i | −0.414097 | + | 1.05510i | ||||
\(443\) | 2.07523e8 | − | 2.76920e9i | 0.113410 | − | 1.51336i | −0.592797 | − | 0.805352i | \(-0.701976\pi\) |
0.706208 | − | 0.708005i | \(-0.250405\pi\) | |||||||
\(444\) | 2.93926e8 | − | 4.43023e7i | 0.159367 | − | 0.0240207i | ||||
\(445\) | −2.23316e8 | − | 2.07207e8i | −0.120132 | − | 0.111467i | ||||
\(446\) | 3.15199e8 | + | 1.51792e8i | 0.168234 | + | 0.0810171i | ||||
\(447\) | 5.84858e8 | − | 3.98750e8i | 0.309724 | − | 0.211166i | ||||
\(448\) | 2.91259e8 | + | 7.42115e8i | 0.153040 | + | 0.389940i | ||||
\(449\) | −1.61683e9 | + | 4.98726e8i | −0.842951 | + | 0.260016i | −0.686010 | − | 0.727592i | \(-0.740639\pi\) |
−0.156941 | + | 0.987608i | \(0.550163\pi\) | |||||||
\(450\) | 6.04298e8 | − | 5.60706e8i | 0.312613 | − | 0.290063i | ||||
\(451\) | 3.47182e9 | − | 4.35352e9i | 1.78213 | − | 2.23472i | ||||
\(452\) | −3.39415e7 | + | 4.25613e7i | −0.0172881 | + | 0.0216785i | ||||
\(453\) | −7.03660e8 | + | 6.52901e8i | −0.355647 | + | 0.329992i | ||||
\(454\) | 5.58453e8 | − | 1.72260e8i | 0.280086 | − | 0.0863951i | ||||
\(455\) | −7.48899e7 | − | 1.90816e8i | −0.0372721 | − | 0.0949676i | ||||
\(456\) | −6.41372e8 | + | 4.37280e8i | −0.316762 | + | 0.215965i | ||||
\(457\) | 1.69294e9 | + | 8.15277e8i | 0.829727 | + | 0.399575i | 0.800013 | − | 0.599983i | \(-0.204826\pi\) |
0.0297140 | + | 0.999558i | \(0.490540\pi\) | |||||||
\(458\) | −1.40734e9 | − | 1.30582e9i | −0.684494 | − | 0.635118i | ||||
\(459\) | 1.87733e9 | − | 2.82962e8i | 0.906142 | − | 0.136579i | ||||
\(460\) | 3.15977e6 | − | 4.21642e7i | 0.00151357 | − | 0.0201972i | ||||
\(461\) | 7.88414e8 | − | 2.00885e9i | 0.374801 | − | 0.954978i | −0.611680 | − | 0.791105i | \(-0.709506\pi\) |
0.986481 | − | 0.163873i | \(-0.0523987\pi\) | |||||||
\(462\) | −3.39641e8 | − | 1.48807e9i | −0.160241 | − | 0.702062i | ||||
\(463\) | 8.79401e7 | + | 1.17348e9i | 0.0411769 | + | 0.549468i | 0.979200 | + | 0.202896i | \(0.0650353\pi\) |
−0.938023 | + | 0.346572i | \(0.887346\pi\) | |||||||
\(464\) | 2.97961e9 | + | 9.19089e8i | 1.38467 | + | 0.427115i | ||||
\(465\) | −3.64743e8 | + | 1.75651e8i | −0.168229 | + | 0.0810150i | ||||
\(466\) | 1.46460e9 | − | 2.53676e9i | 0.670453 | − | 1.16126i | ||||
\(467\) | 2.29586e8 | + | 3.97654e8i | 0.104312 | + | 0.180674i | 0.913457 | − | 0.406935i | \(-0.133403\pi\) |
−0.809145 | + | 0.587609i | \(0.800069\pi\) | |||||||
\(468\) | −1.17396e8 | − | 8.00394e7i | −0.0529412 | − | 0.0360947i | ||||
\(469\) | −3.68242e8 | + | 1.61337e9i | −0.164827 | + | 0.722154i | ||||
\(470\) | 2.40120e8 | + | 3.61923e7i | 0.106681 | + | 0.0160796i | ||||
\(471\) | −4.98134e8 | − | 6.24641e8i | −0.219671 | − | 0.275459i | ||||
\(472\) | 2.48107e7 | 0.0108603 | ||||||||
\(473\) | −4.14040e9 | − | 6.04961e7i | −1.79899 | − | 0.0262853i | ||||
\(474\) | −3.29007e8 | −0.141900 | ||||||||
\(475\) | 7.63267e8 | + | 9.57106e8i | 0.326775 | + | 0.409763i | ||||
\(476\) | −1.19124e8 | − | 1.79550e7i | −0.0506261 | − | 0.00763065i | ||||
\(477\) | 2.68279e8 | − | 1.17541e9i | 0.113181 | − | 0.495877i | ||||
\(478\) | 5.89640e8 | + | 4.02010e8i | 0.246939 | + | 0.168360i | ||||
\(479\) | −4.38276e7 | − | 7.59116e7i | −0.0182210 | − | 0.0315598i | 0.856771 | − | 0.515697i | \(-0.172467\pi\) |
−0.874992 | + | 0.484137i | \(0.839134\pi\) | |||||||
\(480\) | 3.70272e7 | − | 6.41330e7i | 0.0152819 | − | 0.0264690i | ||||
\(481\) | 4.77016e9 | − | 2.29719e9i | 1.95445 | − | 0.941215i | ||||
\(482\) | −2.13797e9 | − | 6.59475e8i | −0.869633 | − | 0.268246i | ||||
\(483\) | −7.05674e7 | − | 9.41656e8i | −0.0284963 | − | 0.380257i | ||||
\(484\) | −1.52230e8 | − | 6.66962e8i | −0.0610297 | − | 0.267388i | ||||
\(485\) | 5.73192e7 | − | 1.46047e8i | 0.0228141 | − | 0.0581295i | ||||
\(486\) | −1.53163e8 | + | 2.04382e9i | −0.0605238 | + | 0.807634i | ||||
\(487\) | 1.93654e9 | − | 2.91886e8i | 0.759756 | − | 0.114515i | 0.242273 | − | 0.970208i | \(-0.422107\pi\) |
0.517483 | + | 0.855693i | \(0.326869\pi\) | |||||||
\(488\) | 3.74258e8 | + | 3.47260e8i | 0.145781 | + | 0.135265i | ||||
\(489\) | 8.70813e8 | + | 4.19361e8i | 0.336778 | + | 0.162184i | ||||
\(490\) | −2.82318e8 | + | 1.92481e8i | −0.108406 | + | 0.0739099i | ||||
\(491\) | 3.88318e8 | + | 9.89418e8i | 0.148048 | + | 0.377220i | 0.985590 | − | 0.169153i | \(-0.0541033\pi\) |
−0.837542 | + | 0.546373i | \(0.816008\pi\) | |||||||
\(492\) | −3.76513e8 | + | 1.16139e8i | −0.142529 | + | 0.0439643i | ||||
\(493\) | 2.16003e9 | − | 2.00421e9i | 0.811886 | − | 0.753320i | ||||
\(494\) | 1.20459e9 | − | 1.51051e9i | 0.449567 | − | 0.563739i | ||||
\(495\) | −2.04883e8 | + | 2.56916e8i | −0.0759257 | + | 0.0952078i | ||||
\(496\) | −3.28732e9 | + | 3.05019e9i | −1.20964 | + | 1.12238i | ||||
\(497\) | −9.06609e8 | + | 2.79652e8i | −0.331263 | + | 0.102181i | ||||
\(498\) | 8.33090e8 | + | 2.12268e9i | 0.302266 | + | 0.770161i | ||||
\(499\) | −7.91772e6 | + | 5.39821e6i | −0.00285265 | + | 0.00194490i | −0.564746 | − | 0.825265i | \(-0.691026\pi\) |
0.561893 | + | 0.827210i | \(0.310073\pi\) | |||||||
\(500\) | −9.97033e7 | − | 4.80146e7i | −0.0356709 | − | 0.0171782i | ||||
\(501\) | 6.74213e8 | + | 6.25578e8i | 0.239533 | + | 0.222254i | ||||
\(502\) | 1.10282e9 | − | 1.66223e8i | 0.389082 | − | 0.0586447i | ||||
\(503\) | −4.90836e6 | + | 6.54975e7i | −0.00171968 | + | 0.0229476i | −0.997998 | − | 0.0632514i | \(-0.979853\pi\) |
0.996278 | + | 0.0861989i | \(0.0274721\pi\) | |||||||
\(504\) | −1.99147e8 | + | 5.07418e8i | −0.0692893 | + | 0.176546i | ||||
\(505\) | 1.56749e8 | + | 6.86761e8i | 0.0541607 | + | 0.237293i | ||||
\(506\) | −4.19071e8 | − | 5.59211e9i | −0.143801 | − | 1.91889i | ||||
\(507\) | 1.28180e9 | + | 3.95382e8i | 0.436809 | + | 0.134738i | ||||
\(508\) | −1.61954e8 | + | 7.79927e7i | −0.0548110 | + | 0.0263956i | ||||
\(509\) | 1.81747e9 | − | 3.14794e9i | 0.610877 | − | 1.05807i | −0.380216 | − | 0.924898i | \(-0.624150\pi\) |
0.991093 | − | 0.133172i | \(-0.0425164\pi\) | |||||||
\(510\) | −1.68372e8 | − | 2.91629e8i | −0.0562049 | − | 0.0973497i | ||||
\(511\) | −2.06742e9 | − | 1.40954e9i | −0.685419 | − | 0.467310i | ||||
\(512\) | −5.13282e8 | + | 2.24884e9i | −0.169010 | + | 0.740480i | ||||
\(513\) | −1.76266e9 | − | 2.65678e8i | −0.576444 | − | 0.0868850i | ||||
\(514\) | 1.19563e9 | + | 1.49928e9i | 0.388353 | + | 0.486980i | ||||
\(515\) | 7.81824e8 | 0.252223 | ||||||||
\(516\) | 2.39656e8 | + | 1.68576e8i | 0.0767917 | + | 0.0540158i | ||||
\(517\) | 3.51729e9 | 1.11942 | ||||||||
\(518\) | 1.76961e9 | + | 2.21902e9i | 0.559401 | + | 0.701466i | ||||
\(519\) | −2.13993e9 | − | 3.22543e8i | −0.671915 | − | 0.101275i | ||||
\(520\) | 1.37173e8 | − | 6.00995e8i | 0.0427817 | − | 0.187439i | ||||
\(521\) | 1.97703e9 | + | 1.34792e9i | 0.612465 | + | 0.417571i | 0.829432 | − | 0.558607i | \(-0.188664\pi\) |
−0.216967 | + | 0.976179i | \(0.569617\pi\) | |||||||
\(522\) | 9.31519e8 | + | 1.61344e9i | 0.286645 | + | 0.496484i | ||||
\(523\) | −2.00426e9 | + | 3.47148e9i | −0.612629 | + | 1.06111i | 0.378166 | + | 0.925738i | \(0.376555\pi\) |
−0.990795 | + | 0.135367i | \(0.956779\pi\) | |||||||
\(524\) | −3.92230e8 | + | 1.88888e8i | −0.119092 | + | 0.0573515i | ||||
\(525\) | −1.16479e9 | − | 3.59289e8i | −0.351309 | − | 0.108364i | ||||
\(526\) | −3.66381e8 | − | 4.88901e9i | −0.109770 | − | 1.46477i | ||||
\(527\) | 9.42990e8 | + | 4.13151e9i | 0.280653 | + | 1.22962i | ||||
\(528\) | 1.88569e9 | − | 4.80466e9i | 0.557509 | − | 1.42051i | ||||
\(529\) | 4.82359e6 | − | 6.43663e7i | 0.00141669 | − | 0.0189044i | ||||
\(530\) | −7.22747e8 | + | 1.08937e8i | −0.210873 | + | 0.0317840i | ||||
\(531\) | 1.22193e7 | + | 1.13379e7i | 0.00354174 | + | 0.00328626i | ||||
\(532\) | 1.01909e8 | + | 4.90769e7i | 0.0293443 | + | 0.0141314i | ||||
\(533\) | −5.79867e9 | + | 3.95347e9i | −1.65876 | + | 1.13092i | ||||
\(534\) | 1.04449e9 | + | 2.66132e9i | 0.296831 | + | 0.756314i | ||||
\(535\) | 2.39187e7 | − | 7.37793e6i | 0.00675303 | − | 0.00208303i | ||||
\(536\) | −3.64813e9 | + | 3.38497e9i | −1.02328 | + | 0.949463i | ||||
\(537\) | 6.84389e8 | − | 8.58196e8i | 0.190718 | − | 0.239153i | ||||
\(538\) | 2.86920e9 | − | 3.59787e9i | 0.794371 | − | 0.996110i | ||||
\(539\) | −3.62802e9 | + | 3.36631e9i | −0.997951 | + | 0.925963i | ||||
\(540\) | 7.59447e7 | − | 2.34258e7i | 0.0207548 | − | 0.00640202i | ||||
\(541\) | −7.06146e7 | − | 1.79923e8i | −0.0191736 | − | 0.0488536i | 0.920966 | − | 0.389642i | \(-0.127401\pi\) |
−0.940140 | + | 0.340788i | \(0.889306\pi\) | |||||||
\(542\) | 1.50487e9 | − | 1.02600e9i | 0.405976 | − | 0.276790i | ||||
\(543\) | 4.10348e9 | + | 1.97613e9i | 1.09990 | + | 0.529683i | ||||
\(544\) | −5.68256e8 | − | 5.27265e8i | −0.151338 | − | 0.140421i | ||||
\(545\) | 4.37563e8 | − | 6.59521e7i | 0.115785 | − | 0.0174518i | ||||
\(546\) | −1.43761e8 | + | 1.91835e9i | −0.0377978 | + | 0.504376i | ||||
\(547\) | 1.42949e9 | − | 3.64228e9i | 0.373444 | − | 0.951520i | −0.613389 | − | 0.789781i | \(-0.710194\pi\) |
0.986834 | − | 0.161739i | \(-0.0517104\pi\) | |||||||
\(548\) | 1.80751e8 | + | 7.91920e8i | 0.0469189 | + | 0.205565i | ||||
\(549\) | 2.56334e7 | + | 3.42054e8i | 0.00661154 | + | 0.0882249i | ||||
\(550\) | −6.91719e9 | − | 2.13367e9i | −1.77280 | − | 0.546837i | ||||
\(551\) | −2.49265e9 | + | 1.20040e9i | −0.634792 | + | 0.305700i | ||||
\(552\) | 1.41988e9 | − | 2.45931e9i | 0.359307 | − | 0.622338i | ||||
\(553\) | −1.71544e8 | − | 2.97124e8i | −0.0431359 | − | 0.0747136i | ||||
\(554\) | 9.73428e8 | + | 6.63672e8i | 0.243231 | + | 0.165832i | ||||
\(555\) | −1.92802e8 | + | 8.44721e8i | −0.0478725 | + | 0.209743i | ||||
\(556\) | −3.90919e7 | − | 5.89216e6i | −0.00964551 | − | 0.00145383i | ||||
\(557\) | 2.66130e9 | + | 3.33716e9i | 0.652530 | + | 0.818247i | 0.992507 | − | 0.122187i | \(-0.0389908\pi\) |
−0.339977 | + | 0.940434i | \(0.610419\pi\) | |||||||
\(558\) | −2.67937e9 | −0.652850 | ||||||||
\(559\) | 4.96409e9 | + | 1.61101e9i | 1.20198 | + | 0.390083i | ||||
\(560\) | 3.71597e8 | 0.0894157 | ||||||||
\(561\) | −3.04110e9 | − | 3.81341e9i | −0.727210 | − | 0.911893i | ||||
\(562\) | 5.87140e9 | + | 8.84971e8i | 1.39529 | + | 0.210306i | ||||
\(563\) | 1.70609e9 | − | 7.47486e9i | 0.402923 | − | 1.76532i | −0.212538 | − | 0.977153i | \(-0.568173\pi\) |
0.615461 | − | 0.788168i | \(-0.288970\pi\) | |||||||
\(564\) | −2.05638e8 | − | 1.40201e8i | −0.0482643 | − | 0.0329060i | ||||
\(565\) | −7.93407e7 | − | 1.37422e8i | −0.0185066 | − | 0.0320543i | ||||
\(566\) | 1.05098e9 | − | 1.82035e9i | 0.243634 | − | 0.421986i | ||||
\(567\) | 8.01331e8 | − | 3.85901e8i | 0.184617 | − | 0.0889068i | ||||
\(568\) | −2.72643e9 | − | 8.40991e8i | −0.624273 | − | 0.192563i | ||||
\(569\) | −3.57575e6 | − | 4.77151e7i | −0.000813719 | − | 0.0108583i | 0.996782 | − | 0.0801581i | \(-0.0255425\pi\) |
−0.997596 | + | 0.0692998i | \(0.977923\pi\) | |||||||
\(570\) | 7.03555e7 | + | 3.08247e8i | 0.0159124 | + | 0.0697168i | ||||
\(571\) | 9.92812e8 | − | 2.52964e9i | 0.223173 | − | 0.568634i | −0.774805 | − | 0.632200i | \(-0.782152\pi\) |
0.997978 | + | 0.0635658i | \(0.0202473\pi\) | |||||||
\(572\) | −9.32382e7 | + | 1.24418e9i | −0.0208309 | + | 0.277969i | ||||
\(573\) | 8.25561e8 | − | 1.24433e8i | 0.183319 | − | 0.0276309i | ||||
\(574\) | −2.75793e9 | − | 2.55898e9i | −0.608683 | − | 0.564775i | ||||
\(575\) | −4.03492e9 | − | 1.94311e9i | −0.885110 | − | 0.426246i | ||||
\(576\) | −1.33086e9 | + | 9.07368e8i | −0.290172 | + | 0.197836i | ||||
\(577\) | 1.48374e9 | + | 3.78050e9i | 0.321545 | + | 0.819283i | 0.996667 | + | 0.0815769i | \(0.0259956\pi\) |
−0.675122 | + | 0.737706i | \(0.735909\pi\) | |||||||
\(578\) | 1.33190e9 | − | 4.10836e8i | 0.286896 | − | 0.0884956i | ||||
\(579\) | −4.32842e9 | + | 4.01619e9i | −0.926733 | + | 0.859882i | ||||
\(580\) | 7.69076e7 | − | 9.64390e7i | 0.0163671 | − | 0.0205237i | ||||
\(581\) | −1.48260e9 | + | 1.85912e9i | −0.313623 | + | 0.393270i | ||||
\(582\) | −1.07934e9 | + | 1.00148e9i | −0.226948 | + | 0.210577i | ||||
\(583\) | −1.01165e10 | + | 3.12052e9i | −2.11441 | + | 0.652209i | ||||
\(584\) | −2.74913e9 | − | 7.00467e9i | −0.571150 | − | 1.45527i | ||||
\(585\) | 3.42199e8 | − | 2.33307e8i | 0.0706696 | − | 0.0481817i | ||||
\(586\) | −4.71550e9 | − | 2.27086e9i | −0.968024 | − | 0.466176i | ||||
\(587\) | −5.81108e8 | − | 5.39189e8i | −0.118583 | − | 0.110029i | 0.618653 | − | 0.785665i | \(-0.287679\pi\) |
−0.737236 | + | 0.675635i | \(0.763869\pi\) | |||||||
\(588\) | 3.46295e8 | − | 5.21955e7i | 0.0702466 | − | 0.0105880i | ||||
\(589\) | 2.97344e8 | − | 3.96778e9i | 0.0599592 | − | 0.800099i | ||||
\(590\) | 3.69198e6 | − | 9.40702e6i | 0.000740078 | − | 0.00188569i | ||||
\(591\) | 5.36565e8 | + | 2.35084e9i | 0.106922 | + | 0.468455i | ||||
\(592\) | 7.17242e8 | + | 9.57093e9i | 0.142082 | + | 1.89596i | ||||
\(593\) | −1.21514e9 | − | 3.74822e8i | −0.239296 | − | 0.0738132i | 0.172787 | − | 0.984959i | \(-0.444723\pi\) |
−0.412084 | + | 0.911146i | \(0.635199\pi\) | |||||||
\(594\) | 9.49675e9 | − | 4.57339e9i | 1.85918 | − | 0.895336i | ||||
\(595\) | 1.75578e8 | − | 3.04110e8i | 0.0341713 | − | 0.0591864i | ||||
\(596\) | −1.55092e8 | − | 2.68627e8i | −0.0300073 | − | 0.0519741i | ||||
\(597\) | 2.77262e9 | + | 1.89034e9i | 0.533311 | + | 0.363605i | ||||
\(598\) | −1.57274e9 | + | 6.89064e9i | −0.300749 | + | 1.31767i | ||||
\(599\) | 9.87169e9 | + | 1.48792e9i | 1.87671 | + | 0.282869i | 0.985366 | − | 0.170453i | \(-0.0545232\pi\) |
0.891347 | + | 0.453322i | \(0.149761\pi\) | |||||||
\(600\) | −2.28552e9 | − | 2.86595e9i | −0.431973 | − | 0.541676i | ||||
\(601\) | −9.65768e9 | −1.81473 | −0.907365 | − | 0.420343i | \(-0.861910\pi\) | ||||
−0.907365 | + | 0.420343i | \(0.861910\pi\) | |||||||
\(602\) | −2.49813e8 | + | 2.78657e9i | −0.0466689 | + | 0.520574i | ||||
\(603\) | −3.34357e9 | −0.621011 | ||||||||
\(604\) | 2.62259e8 | + | 3.28863e8i | 0.0484285 | + | 0.0607275i | ||||
\(605\) | 1.97186e9 | + | 2.97209e8i | 0.362019 | + | 0.0545656i | ||||
\(606\) | 1.47104e9 | − | 6.44504e9i | 0.268516 | − | 1.17645i | ||||
\(607\) | −6.81404e9 | − | 4.64574e9i | −1.23664 | − | 0.843129i | −0.244674 | − | 0.969605i | \(-0.578681\pi\) |
−0.991970 | + | 0.126476i | \(0.959633\pi\) | |||||||
\(608\) | 3.63921e8 | + | 6.30330e8i | 0.0656666 | + | 0.113738i | ||||
\(609\) | 1.37739e9 | − | 2.38571e9i | 0.247114 | − | 0.428014i | ||||
\(610\) | 1.87356e8 | − | 9.02261e7i | 0.0334206 | − | 0.0160945i | ||||
\(611\) | −4.23611e9 | − | 1.30667e9i | −0.751317 | − | 0.231751i | ||||
\(612\) | −1.81895e7 | − | 2.42722e8i | −0.00320767 | − | 0.0428034i | ||||
\(613\) | 7.19716e8 | + | 3.15328e9i | 0.126197 | + | 0.552905i | 0.998009 | + | 0.0630654i | \(0.0200877\pi\) |
−0.871812 | + | 0.489840i | \(0.837055\pi\) | |||||||
\(614\) | −1.14340e8 | + | 2.91334e8i | −0.0199347 | + | 0.0507927i | ||||
\(615\) | 8.58294e7 | − | 1.14531e9i | 0.0148790 | − | 0.198546i | ||||
\(616\) | 4.73311e9 | − | 7.13401e8i | 0.815857 | − | 0.122971i | ||||
\(617\) | 3.69205e9 | + | 3.42572e9i | 0.632804 | + | 0.587156i | 0.929955 | − | 0.367674i | \(-0.119846\pi\) |
−0.297151 | + | 0.954831i | \(0.596036\pi\) | |||||||
\(618\) | −6.61057e9 | − | 3.18348e9i | −1.12663 | − | 0.542554i | ||||
\(619\) | −5.98916e9 | + | 4.08334e9i | −1.01496 | + | 0.691988i | −0.952022 | − | 0.306030i | \(-0.900999\pi\) |
−0.0629374 | + | 0.998017i | \(0.520047\pi\) | |||||||
\(620\) | 6.48111e7 | + | 1.65136e8i | 0.0109214 | + | 0.0278273i | ||||
\(621\) | 6.23143e9 | − | 1.92214e9i | 1.04416 | − | 0.322081i | ||||
\(622\) | 1.60118e9 | − | 1.48567e9i | 0.266792 | − | 0.247547i | ||||
\(623\) | −1.85882e9 | + | 2.33088e9i | −0.307984 | + | 0.386200i | ||||
\(624\) | −4.05599e9 | + | 5.08605e9i | −0.668268 | + | 0.837981i | ||||
\(625\) | −4.11790e9 | + | 3.82085e9i | −0.674676 | + | 0.626008i | ||||
\(626\) | −4.21389e9 | + | 1.29981e9i | −0.686551 | + | 0.211773i | ||||
\(627\) | 1.67312e9 | + | 4.26304e9i | 0.271076 | + | 0.690689i | ||||
\(628\) | −2.89265e8 | + | 1.97218e8i | −0.0466055 | + | 0.0317751i | ||||
\(629\) | 8.17163e9 | + | 3.93525e9i | 1.30928 | + | 0.630515i | ||||
\(630\) | 1.62754e8 | + | 1.51014e8i | 0.0259323 | + | 0.0240616i | ||||
\(631\) | 5.35856e9 | − | 8.07673e8i | 0.849074 | − | 0.127977i | 0.289930 | − | 0.957048i | \(-0.406368\pi\) |
0.559144 | + | 0.829071i | \(0.311130\pi\) | |||||||
\(632\) | 7.71038e7 | − | 1.02888e9i | 0.0121497 | − | 0.162127i | ||||
\(633\) | −2.35198e9 | + | 5.99275e9i | −0.368571 | + | 0.939103i | ||||
\(634\) | 1.58517e9 | + | 6.94509e9i | 0.247038 | + | 1.08234i | ||||
\(635\) | −3.91562e7 | − | 5.22503e8i | −0.00606866 | − | 0.0809806i | ||||
\(636\) | 7.15843e8 | + | 2.20808e8i | 0.110336 | + | 0.0340342i | ||||
\(637\) | 5.62005e9 | − | 2.70647e9i | 0.861494 | − | 0.414874i | ||||
\(638\) | 8.17977e9 | − | 1.41678e10i | 1.24701 | − | 2.15988i | ||||
\(639\) | −9.58461e8 | − | 1.66010e9i | −0.145319 | − | 0.251699i | ||||
\(640\) | 1.02552e9 | + | 6.99190e8i | 0.154638 | + | 0.105430i | ||||
\(641\) | 1.33931e9 | − | 5.86790e9i | 0.200853 | − | 0.879993i | −0.769566 | − | 0.638567i | \(-0.779528\pi\) |
0.970419 | − | 0.241426i | \(-0.0776153\pi\) | |||||||
\(642\) | −2.32282e8 | − | 3.50109e7i | −0.0346452 | − | 0.00522192i | ||||
\(643\) | −2.72511e9 | − | 3.41718e9i | −0.404246 | − | 0.506909i | 0.537486 | − | 0.843273i | \(-0.319374\pi\) |
−0.941732 | + | 0.336364i | \(0.890803\pi\) | |||||||
\(644\) | −4.13792e8 | −0.0610494 | ||||||||
\(645\) | −7.12632e8 | + | 4.70762e8i | −0.104570 | + | 0.0690785i | ||||
\(646\) | 3.30968e9 | 0.483027 | ||||||||
\(647\) | 6.22783e9 | + | 7.80946e9i | 0.904008 | + | 1.13359i | 0.990524 | + | 0.137339i | \(0.0438551\pi\) |
−0.0865165 | + | 0.996250i | \(0.527574\pi\) | |||||||
\(648\) | 2.64483e9 | + | 3.98644e8i | 0.381843 | + | 0.0575536i | ||||
\(649\) | 3.25712e7 | − | 1.42704e8i | 0.00467710 | − | 0.0204917i | ||||
\(650\) | 7.53819e9 | + | 5.13945e9i | 1.07664 | + | 0.734040i | ||||
\(651\) | 1.98093e9 | + | 3.43107e9i | 0.281407 | + | 0.487412i | ||||
\(652\) | 2.11767e8 | − | 3.66791e8i | 0.0299221 | − | 0.0518266i | ||||
\(653\) | −5.96999e9 | + | 2.87500e9i | −0.839031 | + | 0.404056i | −0.803494 | − | 0.595313i | \(-0.797028\pi\) |
−0.0355364 | + | 0.999368i | \(0.511314\pi\) | |||||||
\(654\) | −3.96829e9 | − | 1.22405e9i | −0.554729 | − | 0.171111i | ||||
\(655\) | −9.48311e7 | − | 1.26543e9i | −0.0131858 | − | 0.175952i | ||||
\(656\) | −2.83101e9 | − | 1.24035e10i | −0.391541 | − | 1.71545i | ||||
\(657\) | 1.84701e9 | − | 4.70611e9i | 0.254092 | − | 0.647416i | ||||
\(658\) | 1.77592e8 | − | 2.36980e9i | 0.0243015 | − | 0.324281i | ||||
\(659\) | −8.39273e9 | + | 1.26500e9i | −1.14236 | + | 0.172184i | −0.692844 | − | 0.721087i | \(-0.743643\pi\) |
−0.449519 | + | 0.893271i | \(0.648405\pi\) | |||||||
\(660\) | −1.49675e8 | − | 1.38878e8i | −0.0202650 | − | 0.0188032i | ||||
\(661\) | −4.22119e8 | − | 2.03282e8i | −0.0568499 | − | 0.0273775i | 0.405243 | − | 0.914209i | \(-0.367187\pi\) |
−0.462093 | + | 0.886832i | \(0.652901\pi\) | |||||||
\(662\) | 1.16854e10 | − | 7.96699e9i | 1.56546 | − | 1.06731i | ||||
\(663\) | 2.24592e9 | + | 5.72251e9i | 0.299293 | + | 0.762587i | ||||
\(664\) | −6.83332e9 | + | 2.10780e9i | −0.905824 | + | 0.279410i | ||||
\(665\) | −2.41692e8 | + | 2.24258e8i | −0.0318704 | + | 0.0295714i | ||||
\(666\) | −3.57541e9 | + | 4.48342e9i | −0.468992 | + | 0.588097i | ||||
\(667\) | 6.31044e9 | − | 7.91304e9i | 0.823416 | − | 1.03253i | ||||
\(668\) | 2.95441e8 | − | 2.74129e8i | 0.0383489 | − | 0.0355826i | ||||
\(669\) | 9.98742e8 | − | 3.08071e8i | 0.128962 | − | 0.0397795i | ||||
\(670\) | 7.40554e8 | + | 1.88690e9i | 0.0951251 | + | 0.242375i | ||||
\(671\) | 2.48866e9 | − | 1.69674e9i | 0.318007 | − | 0.216814i | ||||
\(672\) | −6.52954e8 | − | 3.14446e8i | −0.0830023 | − | 0.0399718i | ||||
\(673\) | 9.52179e9 | + | 8.83493e9i | 1.20411 | + | 1.11725i | 0.990092 | + | 0.140421i | \(0.0448455\pi\) |
0.214018 | + | 0.976830i | \(0.431345\pi\) | |||||||
\(674\) | −5.42939e8 | + | 8.18349e7i | −0.0683032 | + | 0.0102951i | ||||
\(675\) | 6.29062e8 | − | 8.39425e9i | 0.0787282 | − | 1.05055i | ||||
\(676\) | 2.14747e8 | − | 5.47167e8i | 0.0267371 | − | 0.0681250i | ||||
\(677\) | −1.95873e9 | − | 8.58176e9i | −0.242613 | − | 1.06296i | −0.938628 | − | 0.344930i | \(-0.887902\pi\) |
0.696015 | − | 0.718027i | \(-0.254955\pi\) | |||||||
\(678\) | 1.11286e8 | + | 1.48501e9i | 0.0137132 | + | 0.182989i | ||||
\(679\) | −1.46719e9 | − | 4.52569e8i | −0.179863 | − | 0.0554805i | ||||
\(680\) | 9.51446e8 | − | 4.58192e8i | 0.116039 | − | 0.0558813i | ||||
\(681\) | 8.72986e8 | − | 1.51206e9i | 0.105924 | − | 0.183465i | ||||
\(682\) | 1.17639e10 | + | 2.03757e10i | 1.42006 | + | 2.45962i | ||||
\(683\) | −7.57665e9 | − | 5.16567e9i | −0.909923 | − | 0.620375i | 0.0152654 | − | 0.999883i | \(-0.495141\pi\) |
−0.925188 | + | 0.379509i | \(0.876093\pi\) | |||||||
\(684\) | −5.08537e7 | + | 2.22805e8i | −0.00607612 | + | 0.0266212i | ||||
\(685\) | −2.34129e9 | − | 3.52893e8i | −0.278316 | − | 0.0419494i | ||||
\(686\) | 4.84030e9 | + | 6.06954e9i | 0.572450 | + | 0.717829i | ||||
\(687\) | −5.73559e9 | −0.674885 | ||||||||
\(688\) | −6.00619e9 | + | 7.30983e9i | −0.703136 | + | 0.855752i | ||||
\(689\) | 1.33432e10 | 1.55415 | ||||||||
\(690\) | −7.21164e8 | − | 9.04311e8i | −0.0835723 | − | 0.104796i | ||||
\(691\) | 5.97937e7 | + | 9.01245e6i | 0.00689417 | + | 0.00103913i | 0.152488 | − | 0.988305i | \(-0.451271\pi\) |
−0.145594 | + | 0.989344i | \(0.546509\pi\) | |||||||
\(692\) | −2.11019e8 | + | 9.24536e8i | −0.0242076 | + | 0.106060i | ||||
\(693\) | 2.65708e9 | + | 1.81157e9i | 0.303276 | + | 0.206770i | ||||
\(694\) | −5.71119e9 | − | 9.89207e9i | −0.648587 | − | 1.12339i | ||||
\(695\) | 5.76181e7 | − | 9.97976e7i | 0.00651047 | − | 0.0112765i | ||||
\(696\) | 7.46399e9 | − | 3.59447e9i | 0.839149 | − | 0.404113i | ||||
\(697\) | −1.14885e10 | − | 3.54373e9i | −1.28513 | − | 0.396411i | ||||
\(698\) | −7.37564e8 | − | 9.84211e9i | −0.0820930 | − | 1.09545i | ||||
\(699\) | −1.94731e9 | − | 8.53170e9i | −0.215657 | − | 0.944856i | ||||
\(700\) | −1.95144e8 | + | 4.97218e8i | −0.0215036 | + | 0.0547903i | ||||
\(701\) | −1.58997e8 | + | 2.12166e9i | −0.0174331 | + | 0.232629i | 0.981681 | + | 0.190534i | \(0.0610220\pi\) |
−0.999114 | + | 0.0420943i | \(0.986597\pi\) | |||||||
\(702\) | −1.31366e10 | + | 1.98002e9i | −1.43319 | + | 0.216018i | ||||
\(703\) | −6.24254e9 | − | 5.79223e9i | −0.677669 | − | 0.628785i | ||||
\(704\) | 1.27435e10 | + | 6.13693e9i | 1.37652 | + | 0.662899i | ||||
\(705\) | 5.99414e8 | − | 4.08674e8i | 0.0644266 | − | 0.0439253i | ||||
\(706\) | −3.86069e8 | − | 9.83687e8i | −0.0412903 | − | 0.105206i | ||||
\(707\) | 6.58747e9 | − | 2.03196e9i | 0.701052 | − | 0.216246i | ||||
\(708\) | −7.59252e6 | + | 7.04483e6i | −0.000804025 | + | 0.000746026i | ||||
\(709\) | 6.11813e9 | − | 7.67189e9i | 0.644699 | − | 0.808427i | −0.346883 | − | 0.937908i | \(-0.612760\pi\) |
0.991582 | + | 0.129482i | \(0.0413313\pi\) | |||||||
\(710\) | −7.24573e8 | + | 9.08586e8i | −0.0759763 | + | 0.0952712i | ||||
\(711\) | 5.08147e8 | − | 4.71492e8i | 0.0530208 | − | 0.0491961i | ||||
\(712\) | −8.56731e9 | + | 2.64266e9i | −0.889538 | + | 0.274386i | ||||
\(713\) | 5.31790e9 | + | 1.35498e10i | 0.549448 | + | 1.39997i | ||||
\(714\) | −2.72287e9 | + | 1.85642e9i | −0.279951 | + | 0.190868i | ||||
\(715\) | −3.27667e9 | − | 1.57796e9i | −0.335244 | − | 0.161445i | ||||
\(716\) | −3.52599e8 | − | 3.27164e8i | −0.0358993 | − | 0.0333097i | ||||
\(717\) | 2.10823e9 | − | 3.17765e8i | 0.213600 | − | 0.0321950i | ||||
\(718\) | 1.15863e9 | − | 1.54608e10i | 0.116818 | − | 1.55882i | ||||
\(719\) | 7.83351e8 | − | 1.99595e9i | 0.0785969 | − | 0.200262i | −0.886174 | − | 0.463352i | \(-0.846647\pi\) |
0.964771 | + | 0.263090i | \(0.0847418\pi\) | |||||||
\(720\) | 1.67067e8 | + | 7.31969e8i | 0.0166812 | + | 0.0730851i | ||||
\(721\) | −5.71776e8 | − | 7.62982e9i | −0.0568137 | − | 0.758126i | ||||
\(722\) | 7.26953e9 | + | 2.24235e9i | 0.718830 | + | 0.221730i | ||||
\(723\) | −6.02228e9 | + | 2.90018e9i | −0.592621 | + | 0.285391i | ||||
\(724\) | 9.97897e8 | − | 1.72841e9i | 0.0977239 | − | 0.169263i | ||||
\(725\) | −6.53242e9 | − | 1.13145e10i | −0.636636 | − | 1.10269i | ||||
\(726\) | −1.54625e10 | − | 1.05421e10i | −1.49969 | − | 1.02247i | ||||
\(727\) | −1.76854e9 | + | 7.74846e9i | −0.170704 | + | 0.747903i | 0.815006 | + | 0.579452i | \(0.196733\pi\) |
−0.985710 | + | 0.168450i | \(0.946124\pi\) | |||||||
\(728\) | −5.96543e9 | − | 8.99144e8i | −0.573036 | − | 0.0863713i | ||||
\(729\) | 6.52682e9 | + | 8.18438e9i | 0.623958 | + | 0.782419i | ||||
\(730\) | −3.06492e9 | −0.291601 | ||||||||
\(731\) | 3.14438e9 | + | 8.36927e9i | 0.297731 | + | 0.792459i | ||||
\(732\) | −2.13132e8 | −0.0200844 | ||||||||
\(733\) | 3.15392e9 | + | 3.95489e9i | 0.295792 | + | 0.370912i | 0.907414 | − | 0.420239i | \(-0.138054\pi\) |
−0.611621 | + | 0.791151i | \(0.709482\pi\) | |||||||
\(734\) | 9.83419e8 | + | 1.48227e8i | 0.0917915 | + | 0.0138353i | ||||
\(735\) | −2.27153e8 | + | 9.95223e8i | −0.0211015 | + | 0.0924517i | ||||
\(736\) | −2.19999e9 | − | 1.49993e9i | −0.203399 | − | 0.138675i | ||||
\(737\) | 1.46801e10 | + | 2.54267e10i | 1.35081 | + | 2.33967i | ||||
\(738\) | 3.80072e9 | − | 6.58304e9i | 0.348072 | − | 0.602878i | ||||
\(739\) | −5.33974e9 | + | 2.57148e9i | −0.486704 | + | 0.234384i | −0.661109 | − | 0.750290i | \(-0.729914\pi\) |
0.174406 | + | 0.984674i | \(0.444200\pi\) | |||||||
\(740\) | 3.62809e8 | + | 1.11912e8i | 0.0329129 | + | 0.0101523i | ||||
\(741\) | −4.31339e8 | − | 5.75583e9i | −0.0389453 | − | 0.519689i | ||||
\(742\) | 1.59168e9 | + | 6.97362e9i | 0.143035 | + | 0.626678i | ||||
\(743\) | −3.12015e9 | + | 7.95002e9i | −0.279071 | + | 0.711062i | 0.720769 | + | 0.693176i | \(0.243789\pi\) |
−0.999840 | + | 0.0178864i | \(0.994306\pi\) | |||||||
\(744\) | −8.90365e8 | + | 1.18811e10i | −0.0792616 | + | 1.05767i | ||||
\(745\) | 8.94056e8 | − | 1.34757e8i | 0.0792169 | − | 0.0119400i | ||||
\(746\) | 1.25610e10 | + | 1.16550e10i | 1.10775 | + | 1.02784i | ||||
\(747\) | −4.32865e9 | − | 2.08457e9i | −0.379953 | − | 0.182976i | ||||
\(748\) | −1.76596e9 | + | 1.20401e9i | −0.154285 | + | 0.105190i | ||||
\(749\) | −8.94938e7 | − | 2.28027e8i | −0.00778228 | − | 0.0198289i | ||||
\(750\) | −2.89273e9 | + | 8.92289e8i | −0.250376 | + | 0.0772309i | ||||
\(751\) | −4.68298e9 | + | 4.34517e9i | −0.403443 | + | 0.374341i | −0.855635 | − | 0.517580i | \(-0.826833\pi\) |
0.452191 | + | 0.891921i | \(0.350642\pi\) | |||||||
\(752\) | 5.01049e9 | − | 6.28296e9i | 0.429653 | − | 0.538768i | ||||
\(753\) | 2.07743e9 | − | 2.60501e9i | 0.177314 | − | 0.222345i | ||||
\(754\) | −1.51148e10 | + | 1.40244e10i | −1.28411 | + | 1.19148i | ||||
\(755\) | −1.17163e9 | + | 3.61399e8i | −0.0990775 | + | 0.0305614i | ||||
\(756\) | −2.84154e8 | − | 7.24012e8i | −0.0239181 | − | 0.0609424i | ||||
\(757\) | −1.21608e10 | + | 8.29108e9i | −1.01889 | + | 0.694665i | −0.952940 | − | 0.303158i | \(-0.901959\pi\) |
−0.0659462 | + | 0.997823i | \(0.521007\pi\) | |||||||
\(758\) | −1.74542e10 | − | 8.40552e9i | −1.45566 | − | 0.701007i | ||||
\(759\) | −1.22812e10 | − | 1.13953e10i | −1.01952 | − | 0.945974i | ||||
\(760\) | −9.80446e8 | + | 1.47779e8i | −0.0810170 | + | 0.0122114i | ||||
\(761\) | 1.14199e9 | − | 1.52388e10i | 0.0939324 | − | 1.25344i | −0.728687 | − | 0.684847i | \(-0.759869\pi\) |
0.822619 | − | 0.568593i | \(-0.192512\pi\) | |||||||
\(762\) | −1.79649e9 | + | 4.57737e9i | −0.147089 | + | 0.374778i | ||||
\(763\) | −9.63632e8 | − | 4.22195e9i | −0.0785372 | − | 0.344094i | ||||
\(764\) | −2.73398e7 | − | 3.64825e8i | −0.00221804 | − | 0.0295977i | ||||
\(765\) | 6.77973e8 | + | 2.09127e8i | 0.0547517 | + | 0.0168887i | ||||
\(766\) | −1.45915e10 | + | 7.02689e9i | −1.17300 | + | 0.564888i | ||||
\(767\) | −9.22418e7 | + | 1.59768e8i | −0.00738149 | + | 0.0127851i | ||||
\(768\) | −1.74242e9 | − | 3.01795e9i | −0.138799 | − | 0.240408i | ||||
\(769\) | −7.30670e9 | − | 4.98162e9i | −0.579401 | − | 0.395029i | 0.237858 | − | 0.971300i | \(-0.423555\pi\) |
−0.817259 | + | 0.576271i | \(0.804507\pi\) | |||||||
\(770\) | 4.33828e8 | − | 1.90073e9i | 0.0342453 | − | 0.150038i | ||||
\(771\) | 5.66507e9 | + | 8.53871e8i | 0.445158 | + | 0.0670968i | ||||
\(772\) | 1.61323e9 | + | 2.02293e9i | 0.126193 | + | 0.158242i | ||||
\(773\) | 5.97118e9 | 0.464978 | 0.232489 | − | 0.972599i | \(-0.425313\pi\) | ||||
0.232489 | + | 0.972599i | \(0.425313\pi\) | |||||||
\(774\) | −5.60128e9 | + | 7.60741e8i | −0.434204 | + | 0.0589717i | ||||
\(775\) | 1.87895e10 | 1.44997 | ||||||||
\(776\) | −2.87890e9 | − | 3.61002e9i | −0.221162 | − | 0.277328i | ||||
\(777\) | 8.38463e9 | + | 1.26378e9i | 0.641225 | + | 0.0966491i | ||||
\(778\) | 4.14573e9 | − | 1.81636e10i | 0.315626 | − | 1.38285i | ||||
\(779\) | 9.32679e9 | + | 6.35890e9i | 0.706889 | + | 0.481948i | ||||
\(780\) | 1.28671e8 | + | 2.22865e8i | 0.00970845 | + | 0.0168155i | ||||
\(781\) | −8.41636e9 | + | 1.45776e10i | −0.632187 | + | 1.09498i | ||||
\(782\) | −1.09087e10 | + | 5.25335e9i | −0.815736 | + | 0.392838i | ||||
\(783\) | 1.81789e10 | + | 5.60744e9i | 1.35332 | + | 0.417444i | ||||
\(784\) | 8.45032e8 | + | 1.12762e10i | 0.0626278 | + | 0.835709i | ||||
\(785\) | −2.27083e8 | − | 9.94918e8i | −0.0167549 | − | 0.0734080i | ||||
\(786\) | −4.35085e9 | + | 1.10858e10i | −0.319591 | + | 0.814306i | ||||
\(787\) | −5.51476e8 | + | 7.35894e9i | −0.0403288 | + | 0.538150i | 0.940051 | + | 0.341033i | \(0.110777\pi\) |
−0.980380 | + | 0.197117i | \(0.936842\pi\) | |||||||
\(788\) | 1.04483e9 | − | 1.57483e8i | 0.0760685 | − | 0.0114655i | ||||
\(789\) | −1.07371e10 | − | 9.96255e9i | −0.778245 | − | 0.722106i | ||||
\(790\) | −3.78628e8 | − | 1.82338e8i | −0.0273223 | − | 0.0131577i | ||||
\(791\) | −1.28308e9 | + | 8.74787e8i | −0.0921797 | + | 0.0628470i | ||||
\(792\) | 3.53322e9 | + | 9.00250e9i | 0.252716 | + | 0.643910i | ||||
\(793\) | −3.62760e9 | + | 1.11897e9i | −0.258323 | + | 0.0796821i | ||||
\(794\) | −1.13093e10 | + | 1.04935e10i | −0.801794 | + | 0.743956i | ||||
\(795\) | −1.36147e9 | + | 1.70723e9i | −0.0960998 | + | 0.120505i | ||||
\(796\) | 9.16828e8 | − | 1.14967e9i | 0.0644306 | − | 0.0807934i | ||||
\(797\) | 1.55399e10 | − | 1.44190e10i | 1.08729 | − | 1.00886i | 0.0873702 | − | 0.996176i | \(-0.472154\pi\) |
0.999920 | − | 0.0126816i | \(-0.00403679\pi\) | |||||||
\(798\) | 2.95673e9 | − | 9.12032e8i | 0.205969 | − | 0.0635331i | ||||
\(799\) | −2.77446e9 | − | 7.06921e9i | −0.192426 | − | 0.490294i | ||||
\(800\) | −2.83984e9 | + | 1.93617e9i | −0.196101 | + | 0.133699i | ||||
\(801\) | −5.42706e9 | − | 2.61354e9i | −0.373122 | − | 0.179686i | ||||
\(802\) | 1.40655e9 | + | 1.30509e9i | 0.0962818 | + | 0.0893364i | ||||
\(803\) | −4.38978e10 | + | 6.61653e9i | −2.99184 | + | 0.450948i | ||||
\(804\) | 1.55254e8 | − | 2.07173e9i | 0.0105353 | − | 0.140584i | ||||
\(805\) | 4.40661e8 | − | 1.12279e9i | 0.0297728 | − | 0.0758597i | ||||
\(806\) | −6.59855e9 | − | 2.89102e10i | −0.443891 | − | 1.94481i | ||||
\(807\) | −1.02741e9 | − | 1.37098e10i | −0.0688152 | − | 0.918275i | ||||
\(808\) | 1.98103e10 | + | 6.11068e9i | 1.32115 | + | 0.407521i | ||||
\(809\) | 8.26153e9 | − | 3.97854e9i | 0.548581 | − | 0.264183i | −0.138998 | − | 0.990293i | \(-0.544388\pi\) |
0.687578 | + | 0.726110i | \(0.258674\pi\) | |||||||
\(810\) | 5.44714e8 | − | 9.43472e8i | 0.0360140 | − | 0.0623780i | ||||
\(811\) | 2.70213e9 | + | 4.68022e9i | 0.177882 | + | 0.308101i | 0.941155 | − | 0.337975i | \(-0.109742\pi\) |
−0.763273 | + | 0.646076i | \(0.776409\pi\) | |||||||
\(812\) | −9.97394e8 | − | 6.80012e8i | −0.0653763 | − | 0.0445728i | ||||
\(813\) | 1.21082e9 | − | 5.30493e9i | 0.0790244 | − | 0.346228i | ||||
\(814\) | 4.97929e10 | + | 7.50507e9i | 3.23580 | + | 0.487719i | ||||
\(815\) | 7.69736e8 | + | 9.65219e8i | 0.0498070 | + | 0.0624560i | ||||
\(816\) | −1.11441e10 | −0.718005 | ||||||||
\(817\) | −5.04948e8 | − | 8.37915e9i | −0.0323944 | − | 0.537555i | ||||
\(818\) | 2.35133e10 | 1.50203 | ||||||||
\(819\) | −2.52711e9 | − | 3.16889e9i | −0.160742 | − | 0.201564i | ||||
\(820\) | −4.97664e8 | − | 7.50107e7i | −0.0315201 | − | 0.00475089i | ||||
\(821\) | 7.33479e7 | − | 3.21358e8i | 0.00462580 | − | 0.0202670i | −0.972562 | − | 0.232642i | \(-0.925263\pi\) |
0.977188 | + | 0.212375i | \(0.0681200\pi\) | |||||||
\(822\) | 1.83594e10 | + | 1.25172e10i | 1.15294 | + | 0.786063i | ||||
\(823\) | −3.73294e9 | − | 6.46565e9i | −0.233428 | − | 0.404308i | 0.725387 | − | 0.688341i | \(-0.241661\pi\) |
−0.958815 | + | 0.284033i | \(0.908328\pi\) | |||||||
\(824\) | 1.15047e10 | − | 1.99267e10i | 0.716356 | − | 1.24077i | ||||
\(825\) | −1.94845e10 | + | 9.38326e9i | −1.20810 | + | 0.581788i | ||||
\(826\) | −9.45032e7 | − | 2.91504e7i | −0.00583467 | − | 0.00179976i | ||||
\(827\) | −9.32162e8 | − | 1.24388e10i | −0.0573089 | − | 0.764734i | −0.949638 | − | 0.313349i | \(-0.898549\pi\) |
0.892329 | − | 0.451385i | \(-0.149070\pi\) | |||||||
\(828\) | −1.86038e8 | − | 8.15084e8i | −0.0113892 | − | 0.0498995i | ||||
\(829\) | 8.25170e9 | − | 2.10250e10i | 0.503040 | − | 1.28173i | −0.423625 | − | 0.905838i | \(-0.639243\pi\) |
0.926665 | − | 0.375888i | \(-0.122662\pi\) | |||||||
\(830\) | −2.17664e8 | + | 2.90452e9i | −0.0132134 | + | 0.176320i | ||||
\(831\) | 3.48044e9 | − | 5.24592e8i | 0.210393 | − | 0.0317116i | ||||
\(832\) | −1.30680e10 | − | 1.21253e10i | −0.786641 | − | 0.729896i | ||||
\(833\) | 9.62756e9 | + | 4.63639e9i | 0.577110 | + | 0.277922i | ||||
\(834\) | −8.93542e8 | + | 6.09207e8i | −0.0533376 | + | 0.0363650i | ||||
\(835\) | 4.29199e8 | + | 1.09358e9i | 0.0255127 | + | 0.0650052i | ||||
\(836\) | 1.91763e9 | − | 5.91511e8i | 0.113512 | − | 0.0350140i | ||||
\(837\) | −2.00562e10 | + | 1.86095e10i | −1.18225 | + | 1.09697i | ||||
\(838\) | 3.53664e9 | − | 4.43481e9i | 0.207605 | − | 0.260328i | ||||
\(839\) | −3.02851e9 | + | 3.79763e9i | −0.177036 | + | 0.221996i | −0.862430 | − | 0.506176i | \(-0.831059\pi\) |
0.685394 | + | 0.728172i | \(0.259630\pi\) | |||||||
\(840\) | 7.23722e8 | − | 6.71516e8i | 0.0421303 | − | 0.0390912i | ||||
\(841\) | 1.17310e10 | − | 3.61855e9i | 0.680066 | − | 0.209772i | ||||
\(842\) | 3.23763e9 | + | 8.24934e9i | 0.186911 | + | 0.476241i | ||||
\(843\) | 1.46568e10 | − | 9.99284e9i | 0.842641 | − | 0.574503i | ||||
\(844\) | 2.54167e9 | + | 1.22400e9i | 0.145519 | + | 0.0700783i | ||||
\(845\) | 1.25600e9 | + | 1.16539e9i | 0.0716126 | + | 0.0664468i | ||||
\(846\) | 4.74787e9 | − | 7.15626e8i | 0.269589 | − | 0.0406340i | ||||
\(847\) | 1.45838e9 | − | 1.94607e10i | 0.0824666 | − | 1.10044i | ||||
\(848\) | −8.83703e9 | + | 2.25164e10i | −0.497646 | + | 1.26798i | ||||
\(849\) | −1.39737e9 | − | 6.12226e9i | −0.0783670 | − | 0.343348i | ||||
\(850\) | 1.16797e9 | + | 1.55855e10i | 0.0652329 | + | 0.870472i | ||||
\(851\) | 2.97693e10 | + | 9.18260e9i | 1.65583 | + | 0.510755i | ||||
\(852\) | 1.07313e9 | − | 5.16792e8i | 0.0594448 | − | 0.0286271i | ||||
\(853\) | 1.27340e10 | − | 2.20559e10i | 0.702493 | − | 1.21675i | −0.265096 | − | 0.964222i | \(-0.585404\pi\) |
0.967589 | − | 0.252531i | \(-0.0812630\pi\) | |||||||
\(854\) | −1.01754e9 | − | 1.76243e9i | −0.0559046 | − | 0.0968296i | ||||
\(855\) | −5.50404e8 | − | 3.75259e8i | −0.0301162 | − | 0.0205329i | ||||
\(856\) | 1.63923e8 | − | 7.18192e8i | 0.00893266 | − | 0.0391366i | ||||
\(857\) | 4.56684e9 | + | 6.88340e8i | 0.247846 | + | 0.0373568i | 0.271790 | − | 0.962356i | \(-0.412384\pi\) |
−0.0239440 | + | 0.999713i | \(0.507622\pi\) | |||||||
\(858\) | 2.12800e10 | + | 2.66843e10i | 1.15018 | + | 1.44228i | ||||
\(859\) | 1.81748e10 | 0.978347 | 0.489173 | − | 0.872187i | \(-0.337299\pi\) | ||||
0.489173 | + | 0.872187i | \(0.337299\pi\) | |||||||
\(860\) | 1.82375e8 | + | 3.26819e8i | 0.00977735 | + | 0.0175211i | ||||
\(861\) | −1.12399e10 | −0.600138 | ||||||||
\(862\) | −1.00819e10 | − | 1.26423e10i | −0.536127 | − | 0.672282i | ||||
\(863\) | −3.17968e9 | − | 4.79260e8i | −0.168402 | − | 0.0253825i | 0.0643001 | − | 0.997931i | \(-0.479519\pi\) |
−0.232702 | + | 0.972548i | \(0.574757\pi\) | |||||||
\(864\) | 1.11368e9 | − | 4.87933e9i | 0.0587436 | − | 0.257373i | ||||
\(865\) | −2.28392e9 | − | 1.55715e9i | −0.119984 | − | 0.0818040i | ||||
\(866\) | −1.99552e9 | − | 3.45634e9i | −0.104410 | − | 0.180844i | ||||
\(867\) | 2.08205e9 | − | 3.60622e9i | 0.108499 | − | 0.187925i | ||||
\(868\) | 1.56416e9 | − | 7.53262e8i | 0.0811826 | − | 0.0390955i | ||||
\(869\) | −5.81659e9 | − | 1.79418e9i | −0.300676 | − | 0.0927463i | ||||
\(870\) | −2.52162e8 | − | 3.36487e9i | −0.0129826 | − | 0.173241i | ||||
\(871\) | −8.23429e9 | − | 3.60768e10i | −0.422243 | − | 1.84997i | ||||
\(872\) | 4.75787e9 | − | 1.21229e10i | 0.242999 | − | 0.619152i | ||||
\(873\) | 2.31829e8 | − | 3.09354e9i | 0.0117928 | − | 0.157364i | ||||
\(874\) | 1.12412e10 | − | 1.69434e9i | 0.569538 | − | 0.0858441i | ||||
\(875\) | −2.31409e9 | − | 2.14716e9i | −0.116776 | − | 0.108352i | ||||
\(876\) | 2.83022e9 | + | 1.36296e9i | 0.142251 | + | 0.0685044i | ||||
\(877\) | 2.06977e10 | − | 1.41114e10i | 1.03615 | − | 0.706436i | 0.0792514 | − | 0.996855i | \(-0.474747\pi\) |
0.956900 | + | 0.290419i | \(0.0937946\pi\) | |||||||
\(878\) | 6.58775e9 | + | 1.67853e10i | 0.328478 | + | 0.836948i | ||||
\(879\) | −1.49416e10 | + | 4.60886e9i | −0.742053 | + | 0.228893i | ||||
\(880\) | 4.83286e9 | − | 4.48424e9i | 0.239064 | − | 0.221819i | ||||
\(881\) | −1.58288e10 | + | 1.98486e10i | −0.779886 | + | 0.977946i | 0.220111 | + | 0.975475i | \(0.429358\pi\) |
−0.999997 | + | 0.00247122i | \(0.999213\pi\) | |||||||
\(882\) | −4.21243e9 | + | 5.28222e9i | −0.206725 | + | 0.259225i | ||||
\(883\) | −2.01710e10 | + | 1.87160e10i | −0.985974 | + | 0.914850i | −0.996373 | − | 0.0850961i | \(-0.972880\pi\) |
0.0103991 | + | 0.999946i | \(0.496690\pi\) | |||||||
\(884\) | 2.57415e9 | − | 7.94019e8i | 0.125329 | − | 0.0386588i | ||||
\(885\) | −1.10300e7 | − | 2.81039e7i | −0.000534900 | − | 0.00136290i | ||||
\(886\) | −2.75039e10 | + | 1.87518e10i | −1.32854 | + | 0.905786i | ||||
\(887\) | −2.39560e10 | − | 1.15366e10i | −1.15261 | − | 0.555068i | −0.242793 | − | 0.970078i | \(-0.578064\pi\) |
−0.909817 | + | 0.415010i | \(0.863778\pi\) | |||||||
\(888\) | 1.86926e10 | + | 1.73442e10i | 0.895829 | + | 0.831208i | ||||
\(889\) | −5.07047e9 | + | 7.64251e8i | −0.242043 | + | 0.0364821i | ||||
\(890\) | −2.72897e8 | + | 3.64156e9i | −0.0129758 | + | 0.173150i | ||||
\(891\) | 5.76499e9 | − | 1.46889e10i | 0.273040 | − | 0.695695i | ||||
\(892\) | −1.01914e8 | − | 4.46514e8i | −0.00480792 | − | 0.0210649i | ||||
\(893\) | 5.32847e8 | + | 7.11036e9i | 0.0250393 | + | 0.334127i | ||||
\(894\) | −8.10824e9 | − | 2.50106e9i | −0.379529 | − | 0.117069i | ||||
\(895\) | 1.26323e9 | − | 6.08337e8i | 0.0588979 | − | 0.0283638i | ||||
\(896\) | 6.07339e9 | − | 1.05194e10i | 0.282068 | − | 0.488556i | ||||
\(897\) | 1.05578e10 | + | 1.82866e10i | 0.488425 | + | 0.845977i | ||||
\(898\) | 1.67581e10 | + | 1.14255e10i | 0.772248 | + | 0.526510i | ||||
\(899\) | −9.44913e9 | + | 4.13993e10i | −0.433743 | + | 1.90035i | ||||
\(900\) | −1.06715e9 | − | 1.60847e8i | −0.0487952 | − | 0.00735469i | ||||
\(901\) | 1.42517e10 | + | 1.78710e10i | 0.649126 | + | 0.813979i | ||||
\(902\) | −6.67491e10 | −3.02847 | ||||||||
\(903\) | 5.11534e9 | + | 6.61029e9i | 0.231189 | + | 0.298754i | ||||
\(904\) | −4.67004e9 | −0.210248 | ||||||||
\(905\) | 3.62718e9 | + | 4.54834e9i | 0.162667 | + | 0.203978i | ||||
\(906\) | 1.13780e10 | + | 1.71496e9i | 0.508299 | + | 0.0766137i | ||||
\(907\) | 7.76428e8 | − | 3.40175e9i | 0.0345522 | − | 0.151383i | −0.954709 | − | 0.297541i | \(-0.903834\pi\) |
0.989261 | + | 0.146158i | \(0.0466907\pi\) | |||||||
\(908\) | −6.32144e8 | − | 4.30989e8i | −0.0280231 | − | 0.0191058i | ||||
\(909\) | 6.96422e9 | + | 1.20624e10i | 0.307538 | + | 0.532672i | ||||
\(910\) | −1.22861e9 | + | 2.12801e9i | −0.0540465 | + | 0.0936113i | ||||
\(911\) | −2.25043e10 | + | 1.08375e10i | −0.986169 | + | 0.474914i | −0.856223 | − | 0.516607i | \(-0.827195\pi\) |
−0.129946 | + | 0.991521i | \(0.541481\pi\) | |||||||
\(912\) | 9.99849e9 | + | 3.08413e9i | 0.436468 | + | 0.134633i | ||||
\(913\) | 3.15274e9 | + | 4.20704e10i | 0.137101 | + | 1.82948i | ||||
\(914\) | −5.01211e9 | − | 2.19595e10i | −0.217125 | − | 0.951285i | ||||
\(915\) | 2.26972e8 | − | 5.78314e8i | 0.00979484 | − | 0.0249569i | ||||
\(916\) | −1.87822e8 | + | 2.50631e9i | −0.00807445 | + | 0.107746i | ||||
\(917\) | −1.22800e10 | + | 1.85091e9i | −0.525904 | + | 0.0792672i | ||||
\(918\) | −1.66829e10 | − | 1.54794e10i | −0.711740 | − | 0.660399i | ||||
\(919\) | −3.13327e10 | − | 1.50891e10i | −1.33166 | − | 0.641295i | −0.373529 | − | 0.927618i | \(-0.621852\pi\) |
−0.958133 | + | 0.286324i | \(0.907567\pi\) | |||||||
\(920\) | 2.99699e9 | − | 2.04331e9i | 0.126890 | − | 0.0865122i | ||||
\(921\) | 3.41596e8 | + | 8.70372e8i | 0.0144080 | + | 0.0367110i | ||||
\(922\) | −2.47194e10 | + | 7.62491e9i | −1.03867 | + | 0.320388i | ||||
\(923\) | 1.55519e10 | − | 1.44301e10i | 0.650996 | − | 0.604036i | ||||
\(924\) | −1.24585e9 | + | 1.56225e9i | −0.0519535 | + | 0.0651476i | ||||
\(925\) | 2.50731e10 | − | 3.14407e10i | 1.04163 | − | 1.30616i | ||||
\(926\) | 1.03406e10 | − | 9.59464e9i | 0.427962 | − | 0.397091i | ||||
\(927\) | 1.47721e10 | − | 4.55659e9i | 0.609065 | − | 0.187872i | ||||
\(928\) | −2.83787e9 | − | 7.23078e9i | −0.116567 | − | 0.297007i | ||||
\(929\) | −3.15073e10 | + | 2.14813e10i | −1.28931 | + | 0.879035i | −0.997009 | − | 0.0772915i | \(-0.975373\pi\) |
−0.292299 | + | 0.956327i | \(0.594420\pi\) | |||||||
\(930\) | 4.37225e9 | + | 2.10557e9i | 0.178244 | + | 0.0858378i | ||||
\(931\) | −7.35476e9 | − | 6.82422e9i | −0.298707 | − | 0.277159i | ||||
\(932\) | −3.79191e9 | + | 5.71539e8i | −0.153427 | + | 0.0231255i | ||||
\(933\) | 4.87657e8 | − | 6.50733e9i | 0.0196575 | − | 0.262311i | ||||
\(934\) | 2.01090e9 | − | 5.12370e9i | 0.0807564 | − | 0.205764i | ||||
\(935\) | −1.38634e9 | − | 6.07395e9i | −0.0554662 | − | 0.243013i | ||||
\(936\) | −9.10885e8 | − | 1.21549e10i | −0.0363076 | − | 0.484492i | ||||
\(937\) | −1.74970e10 | − | 5.39712e9i | −0.694826 | − | 0.214325i | −0.0728280 | − | 0.997345i | \(-0.523202\pi\) |
−0.621998 | + | 0.783019i | \(0.713679\pi\) | |||||||
\(938\) | 1.78727e10 | − | 8.60703e9i | 0.707098 | − | 0.340521i | ||||
\(939\) | −6.58724e9 | + | 1.14094e10i | −0.259641 | + | 0.449712i | ||||
\(940\) | −1.58952e8 | − | 2.75312e8i | −0.00624191 | − | 0.0108113i | ||||
\(941\) | −7.01414e9 | − | 4.78216e9i | −0.274417 | − | 0.187094i | 0.418290 | − | 0.908314i | \(-0.362630\pi\) |
−0.692707 | + | 0.721219i | \(0.743582\pi\) | |||||||
\(942\) | −2.13111e9 | + | 9.33700e9i | −0.0830668 | + | 0.363940i | ||||
\(943\) | −4.08344e10 | − | 6.15480e9i | −1.58575 | − | 0.239014i | ||||
\(944\) | −2.08514e8 | − | 2.61468e8i | −0.00806738 | − | 0.0101162i | ||||
\(945\) | 2.26714e9 | 0.0873912 | ||||||||
\(946\) | 3.03779e10 | + | 3.92558e10i | 1.16665 | + | 1.50760i | ||||
\(947\) | 4.90596e9 | 0.187715 | 0.0938575 | − | 0.995586i | \(-0.470080\pi\) | ||||
0.0938575 | + | 0.995586i | \(0.470080\pi\) | |||||||
\(948\) | 2.68548e8 | + | 3.36749e8i | 0.0102375 | + | 0.0128374i | ||||
\(949\) | 5.53272e10 | + | 8.33923e9i | 2.10139 | + | 0.316734i | ||||
\(950\) | 3.26539e9 | − | 1.43066e10i | 0.123567 | − | 0.541383i | ||||
\(951\) | 1.75843e10 | + | 1.19888e10i | 0.662969 | + | 0.452005i | ||||
\(952\) | −5.16732e9 | − | 8.95007e9i | −0.194105 | − | 0.336200i | ||||
\(953\) | 3.04400e8 | − | 5.27236e8i | 0.0113925 | − | 0.0197324i | −0.860273 | − | 0.509834i | \(-0.829707\pi\) |
0.871665 | + | 0.490101i | \(0.163040\pi\) | |||||||
\(954\) | −1.30210e10 | + | 6.27057e9i | −0.485539 | + | 0.233823i | ||||
\(955\) | 1.01903e9 | + | 3.14330e8i | 0.0378597 | + | 0.0116782i | ||||
\(956\) | −6.98176e7 | − | 9.31651e8i | −0.00258441 | − | 0.0344866i | ||||
\(957\) | −1.08757e10 | − | 4.76495e10i | −0.401111 | − | 1.75738i | ||||
\(958\) | −3.83878e8 | + | 9.78106e8i | −0.0141063 | + | 0.0359424i | ||||
\(959\) | −1.73161e9 | + | 2.31067e10i | −0.0633994 | + | 0.846006i | ||||
\(960\) | 2.88478e9 | − | 4.34811e8i | 0.105236 | − | 0.0158617i | ||||
\(961\) | −2.45997e10 | − | 2.28252e10i | −0.894125 | − | 0.829627i | ||||
\(962\) | −5.71809e10 | − | 2.75368e10i | −2.07080 | − | 0.997244i | ||||
\(963\) | 4.08929e8 | − | 2.78803e8i | 0.0147556 | − | 0.0100602i | ||||
\(964\) | 1.07010e9 | + | 2.72656e9i | 0.0384727 | + | 0.0980270i | ||||
\(965\) | −7.20703e9 | + | 2.22307e9i | −0.258173 | + | 0.0796358i | ||||
\(966\) | −8.29776e9 | + | 7.69920e9i | −0.296170 | + | 0.274806i | ||||
\(967\) | 9.95757e9 | − | 1.24864e10i | 0.354128 | − | 0.444063i | −0.572577 | − | 0.819851i | \(-0.694056\pi\) |
0.926706 | + | 0.375788i | \(0.122628\pi\) | |||||||
\(968\) | 3.65913e10 | − | 4.58840e10i | 1.29662 | − | 1.62591i | ||||
\(969\) | 7.24827e9 | − | 6.72541e9i | 0.255918 | − | 0.237457i | ||||
\(970\) | −1.79715e9 | + | 5.54346e8i | −0.0632241 | + | 0.0195020i | ||||
\(971\) | 1.78076e10 | + | 4.53730e10i | 0.624221 | + | 1.59049i | 0.795962 | + | 0.605347i | \(0.206965\pi\) |
−0.171741 | + | 0.985142i | \(0.554939\pi\) | |||||||
\(972\) | 2.21692e9 | − | 1.51147e9i | 0.0774317 | − | 0.0527921i | ||||
\(973\) | −1.01606e9 | − | 4.89310e8i | −0.0353611 | − | 0.0170290i | ||||
\(974\) | −1.72090e10 | − | 1.59676e10i | −0.596760 | − | 0.553713i | ||||
\(975\) | 2.69524e10 | − | 4.06242e9i | 0.931282 | − | 0.140368i | ||||
\(976\) | 5.14278e8 | − | 6.86256e9i | 0.0177061 | − | 0.236272i | ||||
\(977\) | −1.12026e10 | + | 2.85438e10i | −0.384316 | + | 0.979221i | 0.599554 | + | 0.800335i | \(0.295345\pi\) |
−0.983870 | + | 0.178887i | \(0.942750\pi\) | |||||||
\(978\) | −2.57812e9 | − | 1.12955e10i | −0.0881288 | − | 0.386117i | ||||
\(979\) | 3.95276e9 | + | 5.27459e10i | 0.134636 | + | 1.79659i | ||||
\(980\) | 4.27450e8 | + | 1.31851e8i | 0.0145075 | + | 0.00447498i | ||||
\(981\) | 7.88312e9 | − | 3.79631e9i | 0.266598 | − | 0.128387i | ||||
\(982\) | 6.37055e9 | − | 1.10341e10i | 0.214678 | − | 0.371832i | ||||
\(983\) | 1.41843e9 | + | 2.45680e9i | 0.0476290 | + | 0.0824959i | 0.888857 | − | 0.458185i | \(-0.151500\pi\) |
−0.841228 | + | 0.540680i | \(0.818167\pi\) | |||||||
\(984\) | −2.79281e10 | − | 1.90410e10i | −0.934455 | − | 0.637101i | ||||
\(985\) | −6.85361e8 | + | 3.00276e9i | −0.0228503 | + | 0.100114i | ||||
\(986\) | −3.49273e10 | − | 5.26444e9i | −1.16037 | − | 0.174897i | ||||
\(987\) | −4.42662e9 | − | 5.55081e9i | −0.146542 | − | 0.183758i | ||||
\(988\) | −2.52928e9 | −0.0834349 | ||||||||
\(989\) | 1.49643e10 | + | 2.68162e10i | 0.491892 | + | 0.881476i | ||||
\(990\) | 3.93908e9 | 0.129024 | ||||||||
\(991\) | −1.16953e10 | − | 1.46655e10i | −0.381728 | − | 0.478672i | 0.553433 | − | 0.832893i | \(-0.313317\pi\) |
−0.935162 | + | 0.354222i | \(0.884746\pi\) | |||||||
\(992\) | 1.10466e10 | + | 1.66500e9i | 0.359283 | + | 0.0541532i | ||||
\(993\) | 9.40209e9 | − | 4.11932e10i | 0.304721 | − | 1.33507i | ||||
\(994\) | 9.39680e9 | + | 6.40663e9i | 0.303478 | + | 0.206908i | ||||
\(995\) | 2.14315e9 | + | 3.71205e9i | 0.0689719 | + | 0.119463i | ||||
\(996\) | 1.49263e9 | − | 2.58530e9i | 0.0478678 | − | 0.0829094i | ||||
\(997\) | 4.48425e10 | − | 2.15950e10i | 1.43304 | − | 0.690114i | 0.453476 | − | 0.891268i | \(-0.350184\pi\) |
0.979559 | + | 0.201155i | \(0.0644694\pi\) | |||||||
\(998\) | 1.09768e8 | + | 3.38590e7i | 0.00349558 | + | 0.00107824i | ||||
\(999\) | 4.37596e9 | + | 5.83931e10i | 0.138865 | + | 1.85303i |
(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 | 43.8.g.a.9.6 | ✓ | 300 | |
43.24 | even | 21 | inner | 43.8.g.a.24.6 | yes | 300 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.8.g.a.9.6 | ✓ | 300 | 1.1 | even | 1 | trivial | |
43.8.g.a.24.6 | yes | 300 | 43.24 | even | 21 | inner |