Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,7,Mod(10,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.10");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.f (of order \(6\), degree \(2\), 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: | \(4.83113575602\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 212x^{6} + 473x^{5} + 39800x^{4} + 36821x^{3} + 985651x^{2} - 601290x + 21068100 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3\cdot 7 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 10.1 | ||
Root | \(7.29767 + 12.6399i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 21.10 |
Dual form | 21.7.f.a.19.1 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.79767 | − | 13.5060i | −0.974709 | − | 1.68825i | −0.680893 | − | 0.732383i | \(-0.738408\pi\) |
−0.293816 | − | 0.955862i | \(-0.594925\pi\) | |||||||
\(3\) | −13.5000 | − | 7.79423i | −0.500000 | − | 0.288675i | ||||
\(4\) | −89.6073 | + | 155.204i | −1.40011 | + | 2.42507i | ||||
\(5\) | 22.3721 | − | 12.9165i | 0.178977 | − | 0.103332i | −0.407835 | − | 0.913056i | \(-0.633716\pi\) |
0.586812 | + | 0.809723i | \(0.300383\pi\) | |||||||
\(6\) | 243.107i | 1.12550i | ||||||||
\(7\) | −203.121 | − | 276.389i | −0.592189 | − | 0.805799i | ||||
\(8\) | 1796.81 | 3.50940 | ||||||||
\(9\) | 121.500 | + | 210.444i | 0.166667 | + | 0.288675i | ||||
\(10\) | −348.901 | − | 201.438i | −0.348901 | − | 0.201438i | ||||
\(11\) | −311.967 | + | 540.343i | −0.234386 | + | 0.405968i | −0.959094 | − | 0.283088i | \(-0.908641\pi\) |
0.724708 | + | 0.689056i | \(0.241975\pi\) | |||||||
\(12\) | 2419.40 | − | 1396.84i | 1.40011 | − | 0.808356i | ||||
\(13\) | 3257.26i | 1.48259i | 0.671177 | + | 0.741297i | \(0.265789\pi\) | ||||
−0.671177 | + | 0.741297i | \(0.734211\pi\) | |||||||
\(14\) | −2149.03 | + | 4898.53i | −0.783175 | + | 1.78518i | ||||
\(15\) | −402.698 | −0.119318 | ||||||||
\(16\) | −8276.07 | − | 14334.6i | −2.02053 | − | 3.49965i | ||||
\(17\) | 275.246 | + | 158.913i | 0.0560240 | + | 0.0323455i | 0.527750 | − | 0.849400i | \(-0.323036\pi\) |
−0.471726 | + | 0.881745i | \(0.656369\pi\) | |||||||
\(18\) | 1894.83 | − | 3281.95i | 0.324903 | − | 0.562748i | ||||
\(19\) | −5196.73 | + | 3000.33i | −0.757651 | + | 0.437430i | −0.828452 | − | 0.560060i | \(-0.810778\pi\) |
0.0708006 | + | 0.997490i | \(0.477445\pi\) | |||||||
\(20\) | 4629.67i | 0.578709i | ||||||||
\(21\) | 587.891 | + | 5314.42i | 0.0634803 | + | 0.573850i | ||||
\(22\) | 9730.47 | 0.913831 | ||||||||
\(23\) | 21.0083 | + | 36.3874i | 0.00172666 | + | 0.00299067i | 0.866887 | − | 0.498504i | \(-0.166117\pi\) |
−0.865161 | + | 0.501495i | \(0.832784\pi\) | |||||||
\(24\) | −24256.9 | − | 14004.8i | −1.75470 | − | 1.01308i | ||||
\(25\) | −7478.83 | + | 12953.7i | −0.478645 | + | 0.829037i | ||||
\(26\) | 43992.4 | − | 25399.0i | 2.50298 | − | 1.44510i | ||||
\(27\) | − | 3788.00i | − | 0.192450i | ||||||
\(28\) | 61097.9 | − | 6758.77i | 2.78325 | − | 0.307888i | ||||
\(29\) | −24273.4 | −0.995260 | −0.497630 | − | 0.867389i | \(-0.665796\pi\) | ||||
−0.497630 | + | 0.867389i | \(0.665796\pi\) | |||||||
\(30\) | 3140.11 | + | 5438.82i | 0.116300 | + | 0.201438i | ||||
\(31\) | −17547.8 | − | 10131.2i | −0.589030 | − | 0.340076i | 0.175684 | − | 0.984447i | \(-0.443786\pi\) |
−0.764714 | + | 0.644370i | \(0.777120\pi\) | |||||||
\(32\) | −71570.2 | + | 123963.i | −2.18415 | + | 3.78306i | ||||
\(33\) | 8423.12 | − | 4863.09i | 0.234386 | − | 0.135323i | ||||
\(34\) | − | 4956.62i | − | 0.126110i | ||||||
\(35\) | −8114.24 | − | 3559.79i | −0.189253 | − | 0.0830272i | ||||
\(36\) | −43549.2 | −0.933409 | ||||||||
\(37\) | 8688.57 | + | 15049.0i | 0.171531 | + | 0.297101i | 0.938955 | − | 0.344039i | \(-0.111795\pi\) |
−0.767424 | + | 0.641140i | \(0.778462\pi\) | |||||||
\(38\) | 81044.8 | + | 46791.2i | 1.47698 | + | 0.852734i | ||||
\(39\) | 25387.8 | − | 43973.0i | 0.427988 | − | 0.741297i | ||||
\(40\) | 40198.5 | − | 23208.6i | 0.628101 | − | 0.362634i | ||||
\(41\) | − | 100535.i | − | 1.45870i | −0.684141 | − | 0.729350i | \(-0.739823\pi\) | ||
0.684141 | − | 0.729350i | \(-0.260177\pi\) | |||||||
\(42\) | 67192.2 | − | 49380.2i | 0.906924 | − | 0.666507i | ||||
\(43\) | −67873.7 | −0.853682 | −0.426841 | − | 0.904327i | \(-0.640374\pi\) | ||||
−0.426841 | + | 0.904327i | \(0.640374\pi\) | |||||||
\(44\) | −55909.1 | − | 96837.4i | −0.656333 | − | 1.13680i | ||||
\(45\) | 5436.42 | + | 3138.72i | 0.0596590 | + | 0.0344441i | ||||
\(46\) | 327.631 | − | 567.474i | 0.00336598 | − | 0.00583006i | ||||
\(47\) | 57039.5 | − | 32931.8i | 0.549392 | − | 0.317191i | −0.199485 | − | 0.979901i | \(-0.563927\pi\) |
0.748877 | + | 0.662709i | \(0.230594\pi\) | |||||||
\(48\) | 258022.i | 2.33310i | ||||||||
\(49\) | −35132.9 | + | 112281.i | −0.298624 | + | 0.954371i | ||||
\(50\) | 233270. | 1.86616 | ||||||||
\(51\) | −2477.21 | − | 4290.66i | −0.0186747 | − | 0.0323455i | ||||
\(52\) | −505541. | − | 291874.i | −3.59539 | − | 2.07580i | ||||
\(53\) | −49611.0 | + | 85928.8i | −0.333235 | + | 0.577180i | −0.983144 | − | 0.182832i | \(-0.941474\pi\) |
0.649909 | + | 0.760012i | \(0.274807\pi\) | |||||||
\(54\) | −51160.5 | + | 29537.5i | −0.324903 | + | 0.187583i | ||||
\(55\) | 16118.2i | 0.0968785i | ||||||||
\(56\) | −364970. | − | 496619.i | −2.07823 | − | 2.82787i | ||||
\(57\) | 93541.1 | 0.505101 | ||||||||
\(58\) | 189276. | + | 327835.i | 0.970088 | + | 1.68024i | ||||
\(59\) | 87190.7 | + | 50339.6i | 0.424536 | + | 0.245106i | 0.697016 | − | 0.717055i | \(-0.254511\pi\) |
−0.272480 | + | 0.962161i | \(0.587844\pi\) | |||||||
\(60\) | 36084.7 | − | 62500.5i | 0.167059 | − | 0.289354i | ||||
\(61\) | −201092. | + | 116101.i | −0.885943 | + | 0.511499i | −0.872613 | − | 0.488412i | \(-0.837576\pi\) |
−0.0133295 | + | 0.999911i | \(0.504243\pi\) | |||||||
\(62\) | 315999.i | 1.32590i | ||||||||
\(63\) | 33485.3 | − | 76326.9i | 0.133916 | − | 0.305250i | ||||
\(64\) | 1.17299e6 | 4.47458 | ||||||||
\(65\) | 42072.6 | + | 72871.8i | 0.153200 | + | 0.265350i | ||||
\(66\) | −131361. | − | 75841.5i | −0.456916 | − | 0.263800i | ||||
\(67\) | −20544.0 | + | 35583.3i | −0.0683063 | + | 0.118310i | −0.898156 | − | 0.439677i | \(-0.855093\pi\) |
0.829850 | + | 0.557987i | \(0.188426\pi\) | |||||||
\(68\) | −49328.1 | + | 28479.6i | −0.156880 | + | 0.0905747i | ||||
\(69\) | − | 654.974i | − | 0.00199378i | ||||||
\(70\) | 15193.8 | + | 137349.i | 0.0442967 | + | 0.400433i | ||||
\(71\) | −400361. | −1.11861 | −0.559303 | − | 0.828963i | \(-0.688931\pi\) | ||||
−0.559303 | + | 0.828963i | \(0.688931\pi\) | |||||||
\(72\) | 218313. | + | 378128.i | 0.584899 | + | 1.01308i | ||||
\(73\) | 479106. | + | 276612.i | 1.23158 | + | 0.711054i | 0.967360 | − | 0.253407i | \(-0.0815513\pi\) |
0.264223 | + | 0.964462i | \(0.414885\pi\) | |||||||
\(74\) | 135501. | − | 234695.i | 0.334386 | − | 0.579173i | ||||
\(75\) | 201928. | − | 116583.i | 0.478645 | − | 0.276346i | ||||
\(76\) | − | 1.07541e6i | − | 2.44981i | ||||||
\(77\) | 212712. | − | 23530.6i | 0.465929 | − | 0.0515420i | ||||
\(78\) | −791864. | −1.66866 | ||||||||
\(79\) | 5240.77 | + | 9077.28i | 0.0106295 | + | 0.0184109i | 0.871291 | − | 0.490766i | \(-0.163283\pi\) |
−0.860662 | + | 0.509177i | \(0.829950\pi\) | |||||||
\(80\) | −370306. | − | 213797.i | −0.723255 | − | 0.417571i | ||||
\(81\) | −29524.5 | + | 51137.9i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −1.35782e6 | + | 783939.i | −2.46264 | + | 1.42181i | ||||
\(83\) | − | 712797.i | − | 1.24661i | −0.781978 | − | 0.623306i | \(-0.785789\pi\) | ||
0.781978 | − | 0.623306i | \(-0.214211\pi\) | |||||||
\(84\) | −877501. | − | 384968.i | −1.48050 | − | 0.649511i | ||||
\(85\) | 8210.45 | 0.0133693 | ||||||||
\(86\) | 529257. | + | 916700.i | 0.832091 | + | 1.44122i | ||||
\(87\) | 327691. | + | 189192.i | 0.497630 | + | 0.287307i | ||||
\(88\) | −560546. | + | 970895.i | −0.822552 | + | 1.42470i | ||||
\(89\) | −164942. | + | 95229.2i | −0.233970 | + | 0.135083i | −0.612402 | − | 0.790546i | \(-0.709797\pi\) |
0.378432 | + | 0.925629i | \(0.376463\pi\) | |||||||
\(90\) | − | 97898.8i | − | 0.134292i | ||||||
\(91\) | 900271. | − | 661617.i | 1.19467 | − | 0.877976i | ||||
\(92\) | −7529.99 | −0.00967009 | ||||||||
\(93\) | 157930. | + | 273543.i | 0.196343 | + | 0.340076i | ||||
\(94\) | −889550. | − | 513582.i | −1.07099 | − | 0.618339i | ||||
\(95\) | −77507.9 | + | 134248.i | −0.0904014 | + | 0.156580i | ||||
\(96\) | 1.93239e6 | − | 1.11567e6i | 2.18415 | − | 1.26102i | ||||
\(97\) | − | 1.07270e6i | − | 1.17533i | −0.809103 | − | 0.587667i | \(-0.800046\pi\) | ||
0.809103 | − | 0.587667i | \(-0.199954\pi\) | |||||||
\(98\) | 1.79041e6 | − | 401025.i | 1.90228 | − | 0.426082i | ||||
\(99\) | −151616. | −0.156257 | ||||||||
\(100\) | −1.34031e6 | − | 2.32149e6i | −1.34031 | − | 2.32149i | ||||
\(101\) | −461204. | − | 266276.i | −0.447640 | − | 0.258445i | 0.259193 | − | 0.965826i | \(-0.416544\pi\) |
−0.706833 | + | 0.707380i | \(0.749877\pi\) | |||||||
\(102\) | −38633.0 | + | 66914.3i | −0.0364047 | + | 0.0630548i | ||||
\(103\) | 904654. | − | 522302.i | 0.827886 | − | 0.477980i | −0.0252420 | − | 0.999681i | \(-0.508036\pi\) |
0.853128 | + | 0.521701i | \(0.174702\pi\) | |||||||
\(104\) | 5.85268e6i | 5.20301i | ||||||||
\(105\) | 81796.4 | + | 111301.i | 0.0706588 | + | 0.0961463i | ||||
\(106\) | 1.54740e6 | 1.29923 | ||||||||
\(107\) | −179422. | − | 310767.i | −0.146461 | − | 0.253679i | 0.783456 | − | 0.621448i | \(-0.213455\pi\) |
−0.929917 | + | 0.367769i | \(0.880122\pi\) | |||||||
\(108\) | 587914. | + | 339432.i | 0.466705 | + | 0.269452i | ||||
\(109\) | −376187. | + | 651575.i | −0.290485 | + | 0.503136i | −0.973925 | − | 0.226872i | \(-0.927150\pi\) |
0.683439 | + | 0.730007i | \(0.260483\pi\) | |||||||
\(110\) | 217691. | − | 125684.i | 0.163555 | − | 0.0944283i | ||||
\(111\) | − | 270883.i | − | 0.198067i | ||||||
\(112\) | −2.28088e6 | + | 5.19907e6i | −1.62348 | + | 3.70059i | ||||
\(113\) | −2.37249e6 | −1.64425 | −0.822126 | − | 0.569306i | \(-0.807212\pi\) | ||||
−0.822126 | + | 0.569306i | \(0.807212\pi\) | |||||||
\(114\) | −729403. | − | 1.26336e6i | −0.492326 | − | 0.852734i | ||||
\(115\) | 940.000 | + | 542.709i | 0.000618065 | + | 0.000356840i | ||||
\(116\) | 2.17507e6 | − | 3.76734e6i | 1.39348 | − | 2.41357i | ||||
\(117\) | −685471. | + | 395757.i | −0.427988 | + | 0.247099i | ||||
\(118\) | − | 1.57013e6i | − | 0.955627i | ||||||
\(119\) | −11986.3 | − | 108354.i | −0.00711285 | − | 0.0642987i | ||||
\(120\) | −723572. | −0.418734 | ||||||||
\(121\) | 691133. | + | 1.19708e6i | 0.390127 | + | 0.675719i | ||||
\(122\) | 3.13610e6 | + | 1.81063e6i | 1.72707 | + | 0.997126i | ||||
\(123\) | −783593. | + | 1.35722e6i | −0.421090 | + | 0.729350i | ||||
\(124\) | 3.14482e6 | − | 1.81566e6i | 1.64942 | − | 0.952291i | ||||
\(125\) | 790045.i | 0.404503i | ||||||||
\(126\) | −1.29197e6 | + | 142921.i | −0.645866 | + | 0.0714469i | ||||
\(127\) | −1.06403e6 | −0.519447 | −0.259724 | − | 0.965683i | \(-0.583631\pi\) | ||||
−0.259724 | + | 0.965683i | \(0.583631\pi\) | |||||||
\(128\) | −4.56606e6 | − | 7.90865e6i | −2.17727 | − | 3.77114i | ||||
\(129\) | 916295. | + | 529023.i | 0.426841 | + | 0.246437i | ||||
\(130\) | 656136. | − | 1.13646e6i | 0.298651 | − | 0.517278i | ||||
\(131\) | −565054. | + | 326234.i | −0.251348 | + | 0.145116i | −0.620382 | − | 0.784300i | \(-0.713022\pi\) |
0.369033 | + | 0.929416i | \(0.379689\pi\) | |||||||
\(132\) | 1.74307e6i | 0.757869i | ||||||||
\(133\) | 1.88482e6 | + | 826889.i | 0.801153 | + | 0.351473i | ||||
\(134\) | 640782. | 0.266315 | ||||||||
\(135\) | −48927.8 | − | 84745.5i | −0.0198863 | − | 0.0344441i | ||||
\(136\) | 494565. | + | 285537.i | 0.196610 | + | 0.113513i | ||||
\(137\) | −2.29875e6 | + | 3.98155e6i | −0.893985 | + | 1.54843i | −0.0589291 | + | 0.998262i | \(0.518769\pi\) |
−0.835056 | + | 0.550165i | \(0.814565\pi\) | |||||||
\(138\) | −8846.05 | + | 5107.27i | −0.00336598 | + | 0.00194335i | ||||
\(139\) | − | 1.96781e6i | − | 0.732720i | −0.930473 | − | 0.366360i | \(-0.880604\pi\) | ||
0.930473 | − | 0.366360i | \(-0.119396\pi\) | |||||||
\(140\) | 1.27959e6 | − | 940382.i | 0.466323 | − | 0.342705i | ||||
\(141\) | −1.02671e6 | −0.366261 | ||||||||
\(142\) | 3.12189e6 | + | 5.40726e6i | 1.09031 | + | 1.88848i | ||||
\(143\) | −1.76004e6 | − | 1.01616e6i | −0.601886 | − | 0.347499i | ||||
\(144\) | 2.01109e6 | − | 3.48330e6i | 0.673508 | − | 1.16655i | ||||
\(145\) | −543047. | + | 313528.i | −0.178129 | + | 0.102843i | ||||
\(146\) | − | 8.62772e6i | − | 2.77228i | ||||||
\(147\) | 1.34944e6 | − | 1.24196e6i | 0.424815 | − | 0.390980i | ||||
\(148\) | −3.11424e6 | −0.960653 | ||||||||
\(149\) | 1.55562e6 | + | 2.69442e6i | 0.470268 | + | 0.814529i | 0.999422 | − | 0.0339975i | \(-0.0108238\pi\) |
−0.529154 | + | 0.848526i | \(0.677490\pi\) | |||||||
\(150\) | −3.14914e6 | − | 1.81816e6i | −0.933079 | − | 0.538713i | ||||
\(151\) | 869607. | − | 1.50620e6i | 0.252576 | − | 0.437475i | −0.711658 | − | 0.702526i | \(-0.752056\pi\) |
0.964234 | + | 0.265051i | \(0.0853889\pi\) | |||||||
\(152\) | −9.33754e6 | + | 5.39103e6i | −2.65890 | + | 1.53512i | ||||
\(153\) | 77231.9i | 0.0215637i | ||||||||
\(154\) | −1.97646e6 | − | 2.68940e6i | −0.541161 | − | 0.736364i | ||||
\(155\) | −523441. | −0.140564 | ||||||||
\(156\) | 4.54987e6 | + | 7.88061e6i | 1.19846 | + | 2.07580i | ||||
\(157\) | −735252. | − | 424498.i | −0.189993 | − | 0.109692i | 0.401986 | − | 0.915646i | \(-0.368320\pi\) |
−0.591979 | + | 0.805953i | \(0.701653\pi\) | |||||||
\(158\) | 81731.6 | − | 141563.i | 0.0207214 | − | 0.0358905i | ||||
\(159\) | 1.33950e6 | − | 773359.i | 0.333235 | − | 0.192393i | ||||
\(160\) | 3.69776e6i | 0.902773i | ||||||||
\(161\) | 5789.87 | − | 13197.5i | 0.00138737 | − | 0.00316238i | ||||
\(162\) | 920889. | 0.216602 | ||||||||
\(163\) | −671609. | − | 1.16326e6i | −0.155079 | − | 0.268605i | 0.778009 | − | 0.628254i | \(-0.216230\pi\) |
−0.933088 | + | 0.359648i | \(0.882897\pi\) | |||||||
\(164\) | 1.56035e7 | + | 9.00868e6i | 3.53745 | + | 2.04235i | ||||
\(165\) | 125629. | − | 217595.i | 0.0279664 | − | 0.0484393i | ||||
\(166\) | −9.62701e6 | + | 5.55815e6i | −2.10459 | + | 1.21508i | ||||
\(167\) | − | 6.60321e6i | − | 1.41777i | −0.705324 | − | 0.708885i | \(-0.749199\pi\) | ||
0.705324 | − | 0.708885i | \(-0.250801\pi\) | |||||||
\(168\) | 1.05633e6 | + | 9.54901e6i | 0.222778 | + | 2.01387i | ||||
\(169\) | −5.78293e6 | −1.19809 | ||||||||
\(170\) | −64022.4 | − | 110890.i | −0.0130312 | − | 0.0225707i | ||||
\(171\) | −1.26281e6 | − | 729081.i | −0.252550 | − | 0.145810i | ||||
\(172\) | 6.08198e6 | − | 1.05343e7i | 1.19525 | − | 2.07024i | ||||
\(173\) | 8.15811e6 | − | 4.71008e6i | 1.57562 | − | 0.909684i | 0.580158 | − | 0.814504i | \(-0.302991\pi\) |
0.995460 | − | 0.0951797i | \(-0.0303426\pi\) | |||||||
\(174\) | − | 5.90104e6i | − | 1.12016i | ||||||
\(175\) | 5.09937e6 | − | 564102.i | 0.951486 | − | 0.105255i | ||||
\(176\) | 1.03275e7 | 1.89433 | ||||||||
\(177\) | −784717. | − | 1.35917e6i | −0.141512 | − | 0.245106i | ||||
\(178\) | 2.57232e6 | + | 1.48513e6i | 0.456106 | + | 0.263333i | ||||
\(179\) | 1.50382e6 | − | 2.60470e6i | 0.262203 | − | 0.454149i | −0.704624 | − | 0.709581i | \(-0.748884\pi\) |
0.966827 | + | 0.255432i | \(0.0822176\pi\) | |||||||
\(180\) | −974287. | + | 562505.i | −0.167059 | + | 0.0964514i | ||||
\(181\) | 8.77281e6i | 1.47946i | 0.672904 | + | 0.739730i | \(0.265047\pi\) | ||||
−0.672904 | + | 0.739730i | \(0.734953\pi\) | |||||||
\(182\) | −1.59558e7 | − | 6.99995e6i | −2.64670 | − | 1.16113i | ||||
\(183\) | 3.61966e6 | 0.590628 | ||||||||
\(184\) | 37747.9 | + | 65381.3i | 0.00605954 | + | 0.0104954i | ||||
\(185\) | 388763. | + | 224453.i | 0.0614002 | + | 0.0354494i | ||||
\(186\) | 2.46297e6 | − | 4.26599e6i | 0.382755 | − | 0.662951i | ||||
\(187\) | −171736. | + | 99151.6i | −0.0262625 | + | 0.0151626i | ||||
\(188\) | 1.18037e7i | 1.77642i | ||||||||
\(189\) | −1.04696e6 | + | 769421.i | −0.155076 | + | 0.113967i | ||||
\(190\) | 2.41752e6 | 0.352460 | ||||||||
\(191\) | −720715. | − | 1.24831e6i | −0.103434 | − | 0.179153i | 0.809663 | − | 0.586895i | \(-0.199650\pi\) |
−0.913097 | + | 0.407742i | \(0.866316\pi\) | |||||||
\(192\) | −1.58353e7 | − | 9.14252e6i | −2.23729 | − | 1.29170i | ||||
\(193\) | −851094. | + | 1.47414e6i | −0.118387 | + | 0.205053i | −0.919129 | − | 0.393957i | \(-0.871106\pi\) |
0.800741 | + | 0.599010i | \(0.204439\pi\) | |||||||
\(194\) | −1.44878e7 | + | 8.36453e6i | −1.98425 | + | 1.14561i | ||||
\(195\) | − | 1.31169e6i | − | 0.176900i | ||||||
\(196\) | −1.42783e7 | − | 1.55140e7i | −1.89631 | − | 2.06041i | ||||
\(197\) | 6.42619e6 | 0.840534 | 0.420267 | − | 0.907401i | \(-0.361936\pi\) | ||||
0.420267 | + | 0.907401i | \(0.361936\pi\) | |||||||
\(198\) | 1.18225e6 | + | 2.04772e6i | 0.152305 | + | 0.263800i | ||||
\(199\) | −5.77106e6 | − | 3.33192e6i | −0.732312 | − | 0.422801i | 0.0869554 | − | 0.996212i | \(-0.472286\pi\) |
−0.819267 | + | 0.573412i | \(0.805620\pi\) | |||||||
\(200\) | −1.34380e7 | + | 2.32754e7i | −1.67975 | + | 2.90942i | ||||
\(201\) | 554689. | − | 320250.i | 0.0683063 | − | 0.0394367i | ||||
\(202\) | 8.30534e6i | 1.00764i | ||||||||
\(203\) | 4.93043e6 | + | 6.70890e6i | 0.589382 | + | 0.801979i | ||||
\(204\) | 887906. | 0.104587 | ||||||||
\(205\) | −1.29857e6 | − | 2.24918e6i | −0.150731 | − | 0.261074i | ||||
\(206\) | −1.41084e7 | − | 8.14548e6i | −1.61390 | − | 0.931783i | ||||
\(207\) | −5105.01 | + | 8842.14i | −0.000575554 | + | 0.000996888i | ||||
\(208\) | 4.66914e7 | − | 2.69573e7i | 5.18856 | − | 2.99562i | ||||
\(209\) | − | 3.74402e6i | − | 0.410109i | ||||||
\(210\) | 865411. | − | 1.97263e6i | 0.0934468 | − | 0.213004i | ||||
\(211\) | 1.06742e6 | 0.113629 | 0.0568144 | − | 0.998385i | \(-0.481906\pi\) | ||||
0.0568144 | + | 0.998385i | \(0.481906\pi\) | |||||||
\(212\) | −8.89102e6 | − | 1.53997e7i | −0.933134 | − | 1.61624i | ||||
\(213\) | 5.40488e6 | + | 3.12051e6i | 0.559303 | + | 0.322914i | ||||
\(214\) | −2.79814e6 | + | 4.84652e6i | −0.285515 | + | 0.494526i | ||||
\(215\) | −1.51848e6 | + | 876694.i | −0.152789 | + | 0.0882130i | ||||
\(216\) | − | 6.80631e6i | − | 0.675384i | ||||||
\(217\) | 764162. | + | 6.90788e6i | 0.0747836 | + | 0.676029i | ||||
\(218\) | 1.17335e7 | 1.13255 | ||||||||
\(219\) | −4.31196e6 | − | 7.46853e6i | −0.410527 | − | 0.711054i | ||||
\(220\) | −2.50161e6 | − | 1.44431e6i | −0.234937 | − | 0.135641i | ||||
\(221\) | −517622. | + | 896548.i | −0.0479552 | + | 0.0830609i | ||||
\(222\) | −3.65853e6 | + | 2.11225e6i | −0.334386 | + | 0.193058i | ||||
\(223\) | 1.67396e7i | 1.50949i | 0.656016 | + | 0.754747i | \(0.272240\pi\) | ||||
−0.656016 | + | 0.754747i | \(0.727760\pi\) | |||||||
\(224\) | 4.87995e7 | − | 5.39829e6i | 4.34181 | − | 0.480299i | ||||
\(225\) | −3.63471e6 | −0.319097 | ||||||||
\(226\) | 1.84999e7 | + | 3.20427e7i | 1.60267 | + | 2.77590i | ||||
\(227\) | 1.64212e7 | + | 9.48080e6i | 1.40387 | + | 0.810527i | 0.994788 | − | 0.101969i | \(-0.0325141\pi\) |
0.409086 | + | 0.912496i | \(0.365847\pi\) | |||||||
\(228\) | −8.38197e6 | + | 1.45180e7i | −0.707199 | + | 1.22490i | ||||
\(229\) | −3.68706e6 | + | 2.12872e6i | −0.307025 | + | 0.177261i | −0.645594 | − | 0.763680i | \(-0.723390\pi\) |
0.338569 | + | 0.940941i | \(0.390057\pi\) | |||||||
\(230\) | − | 16927.5i | − | 0.00139126i | ||||||
\(231\) | −3.05502e6 | − | 1.34026e6i | −0.247844 | − | 0.108731i | ||||
\(232\) | −4.36147e7 | −3.49276 | ||||||||
\(233\) | −6.08975e6 | − | 1.05478e7i | −0.481429 | − | 0.833859i | 0.518344 | − | 0.855172i | \(-0.326549\pi\) |
−0.999773 | + | 0.0213134i | \(0.993215\pi\) | |||||||
\(234\) | 1.06902e7 | + | 6.17197e6i | 0.834328 | + | 0.481699i | ||||
\(235\) | 850730. | − | 1.47351e6i | 0.0655523 | − | 0.113540i | ||||
\(236\) | −1.56259e7 | + | 9.02159e6i | −1.18880 | + | 0.686352i | ||||
\(237\) | − | 163391.i | − | 0.0122739i | ||||||
\(238\) | −1.36995e6 | + | 1.00679e6i | −0.101619 | + | 0.0746808i | ||||
\(239\) | −1.03799e7 | −0.760328 | −0.380164 | − | 0.924919i | \(-0.624132\pi\) | ||||
−0.380164 | + | 0.924919i | \(0.624132\pi\) | |||||||
\(240\) | 3.33276e6 | + | 5.77251e6i | 0.241085 | + | 0.417571i | ||||
\(241\) | −9.70985e6 | − | 5.60598e6i | −0.693683 | − | 0.400498i | 0.111307 | − | 0.993786i | \(-0.464496\pi\) |
−0.804990 | + | 0.593288i | \(0.797830\pi\) | |||||||
\(242\) | 1.07785e7 | − | 1.86688e7i | 0.760520 | − | 1.31726i | ||||
\(243\) | 797162. | − | 460241.i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | − | 4.16139e7i | − | 2.86463i | ||||||
\(245\) | 664283. | + | 2.96575e6i | 0.0451705 | + | 0.201668i | ||||
\(246\) | 2.44408e7 | 1.64176 | ||||||||
\(247\) | −9.77286e6 | − | 1.69271e7i | −0.648531 | − | 1.12329i | ||||
\(248\) | −3.15300e7 | − | 1.82039e7i | −2.06714 | − | 1.19346i | ||||
\(249\) | −5.55570e6 | + | 9.62276e6i | −0.359866 | + | 0.623306i | ||||
\(250\) | 1.06703e7 | − | 6.16051e6i | 0.682900 | − | 0.394272i | ||||
\(251\) | 2.63644e7i | 1.66724i | 0.552341 | + | 0.833618i | \(0.313735\pi\) | ||||
−0.552341 | + | 0.833618i | \(0.686265\pi\) | |||||||
\(252\) | 8.84574e6 | + | 1.20365e7i | 0.552755 | + | 0.752140i | ||||
\(253\) | −26215.6 | −0.00161882 | ||||||||
\(254\) | 8.29693e6 | + | 1.43707e7i | 0.506310 | + | 0.876954i | ||||
\(255\) | −110841. | − | 63994.1i | −0.00668467 | − | 0.00385940i | ||||
\(256\) | −3.36737e7 | + | 5.83246e7i | −2.00711 | + | 3.47642i | ||||
\(257\) | 2.22833e7 | − | 1.28653e7i | 1.31274 | − | 0.757913i | 0.330194 | − | 0.943913i | \(-0.392886\pi\) |
0.982550 | + | 0.186000i | \(0.0595525\pi\) | |||||||
\(258\) | − | 1.65006e7i | − | 0.960816i | ||||||
\(259\) | 2.39456e6 | − | 5.45820e6i | 0.137825 | − | 0.314159i | ||||
\(260\) | −1.50800e7 | −0.857990 | ||||||||
\(261\) | −2.94922e6 | − | 5.10819e6i | −0.165877 | − | 0.287307i | ||||
\(262\) | 8.81221e6 | + | 5.08773e6i | 0.489983 | + | 0.282892i | ||||
\(263\) | −8.45919e6 | + | 1.46517e7i | −0.465009 | + | 0.805420i | −0.999202 | − | 0.0399431i | \(-0.987282\pi\) |
0.534193 | + | 0.845363i | \(0.320616\pi\) | |||||||
\(264\) | 1.51348e7 | − | 8.73805e6i | 0.822552 | − | 0.474901i | ||||
\(265\) | 2.56321e6i | 0.137736i | ||||||||
\(266\) | −3.52930e6 | − | 3.19042e7i | −0.187518 | − | 1.69513i | ||||
\(267\) | 2.96895e6 | 0.155980 | ||||||||
\(268\) | −3.68179e6 | − | 6.37705e6i | −0.191273 | − | 0.331295i | ||||
\(269\) | −2.28580e7 | − | 1.31971e7i | −1.17431 | − | 0.677987i | −0.219617 | − | 0.975586i | \(-0.570481\pi\) |
−0.954691 | + | 0.297599i | \(0.903814\pi\) | |||||||
\(270\) | −763046. | + | 1.32163e6i | −0.0387668 | + | 0.0671460i | ||||
\(271\) | 5.51435e6 | − | 3.18371e6i | 0.277068 | − | 0.159965i | −0.355027 | − | 0.934856i | \(-0.615528\pi\) |
0.632095 | + | 0.774891i | \(0.282195\pi\) | |||||||
\(272\) | − | 5.26071e6i | − | 0.261419i | ||||||
\(273\) | −1.73105e7 | + | 1.91491e6i | −0.850786 | + | 0.0941156i | ||||
\(274\) | 7.16996e7 | 3.48550 | ||||||||
\(275\) | −4.66630e6 | − | 8.08227e6i | −0.224375 | − | 0.388629i | ||||
\(276\) | 101655. | + | 58690.4i | 0.00483505 | + | 0.00279152i | ||||
\(277\) | 1.72556e7 | − | 2.98876e7i | 0.811878 | − | 1.40621i | −0.0996696 | − | 0.995021i | \(-0.531779\pi\) |
0.911548 | − | 0.411194i | \(-0.134888\pi\) | |||||||
\(278\) | −2.65771e7 | + | 1.53443e7i | −1.23701 | + | 0.714189i | ||||
\(279\) | − | 4.92377e6i | − | 0.226718i | ||||||
\(280\) | −1.45797e7 | − | 6.39627e6i | −0.664165 | − | 0.291375i | ||||
\(281\) | 4.02256e7 | 1.81294 | 0.906470 | − | 0.422270i | \(-0.138767\pi\) | ||||
0.906470 | + | 0.422270i | \(0.138767\pi\) | |||||||
\(282\) | 8.00595e6 | + | 1.38667e7i | 0.356998 | + | 0.618339i | ||||
\(283\) | −2.53348e6 | − | 1.46270e6i | −0.111778 | − | 0.0645352i | 0.443069 | − | 0.896488i | \(-0.353890\pi\) |
−0.554847 | + | 0.831953i | \(0.687223\pi\) | |||||||
\(284\) | 3.58753e7 | − | 6.21378e7i | 1.56618 | − | 2.71270i | ||||
\(285\) | 2.09271e6 | − | 1.20823e6i | 0.0904014 | − | 0.0521933i | ||||
\(286\) | 3.16947e7i | 1.35484i | ||||||||
\(287\) | −2.77868e7 | + | 2.04208e7i | −1.17542 | + | 0.863826i | ||||
\(288\) | −3.47831e7 | −1.45610 | ||||||||
\(289\) | −1.20183e7 | − | 2.08163e7i | −0.497908 | − | 0.862401i | ||||
\(290\) | 8.46900e6 | + | 4.88958e6i | 0.347247 | + | 0.200483i | ||||
\(291\) | −8.36084e6 | + | 1.44814e7i | −0.339290 | + | 0.587667i | ||||
\(292\) | −8.58629e7 | + | 4.95730e7i | −3.44871 | + | 1.99111i | ||||
\(293\) | − | 1.16741e7i | − | 0.464109i | −0.972703 | − | 0.232054i | \(-0.925455\pi\) | ||
0.972703 | − | 0.232054i | \(-0.0745448\pi\) | |||||||
\(294\) | −2.72963e7 | − | 8.54105e6i | −1.07414 | − | 0.336101i | ||||
\(295\) | 2.60086e6 | 0.101309 | ||||||||
\(296\) | 1.56117e7 | + | 2.70403e7i | 0.601971 | + | 1.04264i | ||||
\(297\) | 2.04682e6 | + | 1.18173e6i | 0.0781286 | + | 0.0451075i | ||||
\(298\) | 2.42605e7 | − | 4.20204e7i | 0.916749 | − | 1.58786i | ||||
\(299\) | −118523. | + | 68429.5i | −0.00443394 | + | 0.00255994i | ||||
\(300\) | 4.17869e7i | 1.54766i | ||||||||
\(301\) | 1.37866e7 | + | 1.87596e7i | 0.505541 | + | 0.687896i | ||||
\(302\) | −2.71236e7 | −0.984753 | ||||||||
\(303\) | 4.15084e6 | + | 7.18947e6i | 0.149213 | + | 0.258445i | ||||
\(304\) | 8.60170e7 | + | 4.96619e7i | 3.06171 | + | 1.76768i | ||||
\(305\) | −2.99924e6 | + | 5.19483e6i | −0.105709 | + | 0.183093i | ||||
\(306\) | 1.04309e6 | − | 602229.i | 0.0364047 | − | 0.0210183i | ||||
\(307\) | 3.20193e7i | 1.10661i | 0.832977 | + | 0.553307i | \(0.186634\pi\) | ||||
−0.832977 | + | 0.553307i | \(0.813366\pi\) | |||||||
\(308\) | −1.54085e7 | + | 3.51224e7i | −0.527361 | + | 1.20208i | ||||
\(309\) | −1.62838e7 | −0.551924 | ||||||||
\(310\) | 4.08162e6 | + | 7.06958e6i | 0.137009 | + | 0.237306i | ||||
\(311\) | 2.10086e6 | + | 1.21293e6i | 0.0698418 | + | 0.0403232i | 0.534514 | − | 0.845159i | \(-0.320495\pi\) |
−0.464672 | + | 0.885483i | \(0.653828\pi\) | |||||||
\(312\) | 4.56171e7 | − | 7.90112e7i | 1.50198 | − | 2.60151i | ||||
\(313\) | 2.43110e7 | − | 1.40359e7i | 0.792810 | − | 0.457729i | −0.0481409 | − | 0.998841i | \(-0.515330\pi\) |
0.840951 | + | 0.541112i | \(0.181996\pi\) | |||||||
\(314\) | 1.32404e7i | 0.427673i | ||||||||
\(315\) | −236743. | − | 2.14011e6i | −0.00757434 | − | 0.0684706i | ||||
\(316\) | −1.87845e6 | −0.0595302 | ||||||||
\(317\) | −3.84108e6 | − | 6.65294e6i | −0.120580 | − | 0.208851i | 0.799417 | − | 0.600777i | \(-0.205142\pi\) |
−0.919997 | + | 0.391927i | \(0.871809\pi\) | |||||||
\(318\) | −2.08899e7 | − | 1.20608e7i | −0.649614 | − | 0.375055i | ||||
\(319\) | 7.57251e6 | − | 1.31160e7i | 0.233275 | − | 0.404044i | ||||
\(320\) | 2.62422e7 | − | 1.51509e7i | 0.800847 | − | 0.462369i | ||||
\(321\) | 5.59381e6i | 0.169119i | ||||||||
\(322\) | −223392. | + | 24712.1i | −0.00669115 | + | 0.000740188i | ||||
\(323\) | −1.90717e6 | −0.0565955 | ||||||||
\(324\) | −5.29122e6 | − | 9.16466e6i | −0.155568 | − | 0.269452i | ||||
\(325\) | −4.21936e7 | − | 2.43605e7i | −1.22913 | − | 0.709636i | ||||
\(326\) | −1.04740e7 | + | 1.81414e7i | −0.302314 | + | 0.523624i | ||||
\(327\) | 1.01571e7 | − | 5.86418e6i | 0.290485 | − | 0.167712i | ||||
\(328\) | − | 1.80642e8i | − | 5.11916i | ||||||
\(329\) | −2.06879e7 | − | 9.07597e6i | −0.580936 | − | 0.254862i | ||||
\(330\) | −3.91844e6 | −0.109036 | ||||||||
\(331\) | 2.56402e7 | + | 4.44102e7i | 0.707031 | + | 1.22461i | 0.965954 | + | 0.258715i | \(0.0832990\pi\) |
−0.258923 | + | 0.965898i | \(0.583368\pi\) | |||||||
\(332\) | 1.10629e8 | + | 6.38718e7i | 3.02312 | + | 1.74540i | ||||
\(333\) | −2.11132e6 | + | 3.65692e6i | −0.0571770 | + | 0.0990335i | ||||
\(334\) | −8.91827e7 | + | 5.14896e7i | −2.39354 | + | 1.38191i | ||||
\(335\) | 1.06143e6i | 0.0282330i | ||||||||
\(336\) | 7.13146e7 | − | 5.24097e7i | 1.88001 | − | 1.38164i | ||||
\(337\) | 1.62829e7 | 0.425443 | 0.212721 | − | 0.977113i | \(-0.431767\pi\) | ||||
0.212721 | + | 0.977113i | \(0.431767\pi\) | |||||||
\(338\) | 4.50934e7 | + | 7.81041e7i | 1.16778 | + | 2.02266i | ||||
\(339\) | 3.20286e7 | + | 1.84917e7i | 0.822126 | + | 0.474655i | ||||
\(340\) | −735716. | + | 1.27430e6i | −0.0187186 | + | 0.0324216i | ||||
\(341\) | 1.09487e7 | − | 6.32122e6i | 0.276120 | − | 0.159418i | ||||
\(342\) | 2.27405e7i | 0.568489i | ||||||||
\(343\) | 3.81694e7 | − | 1.30962e7i | 0.945873 | − | 0.324537i | ||||
\(344\) | −1.21956e8 | −2.99591 | ||||||||
\(345\) | −8460.00 | − | 14653.1i | −0.000206022 | − | 0.000356840i | ||||
\(346\) | −1.27228e8 | − | 7.34554e7i | −3.07154 | − | 1.77335i | ||||
\(347\) | −3.79000e7 | + | 6.56447e7i | −0.907091 | + | 1.57113i | −0.0890043 | + | 0.996031i | \(0.528368\pi\) |
−0.818086 | + | 0.575096i | \(0.804965\pi\) | |||||||
\(348\) | −5.87270e7 | + | 3.39060e7i | −1.39348 | + | 0.804524i | ||||
\(349\) | 2.89740e7i | 0.681605i | 0.940135 | + | 0.340802i | \(0.110699\pi\) | ||||
−0.940135 | + | 0.340802i | \(0.889301\pi\) | |||||||
\(350\) | −4.73819e7 | − | 6.44732e7i | −1.10512 | − | 1.50375i | ||||
\(351\) | 1.23385e7 | 0.285325 | ||||||||
\(352\) | −4.46551e7 | − | 7.73449e7i | −1.02387 | − | 1.77339i | ||||
\(353\) | 5.10415e7 | + | 2.94688e7i | 1.16038 | + | 0.669945i | 0.951395 | − | 0.307974i | \(-0.0996511\pi\) |
0.208984 | + | 0.977919i | \(0.432984\pi\) | |||||||
\(354\) | −1.22379e7 | + | 2.11967e7i | −0.275866 | + | 0.477814i | ||||
\(355\) | −8.95693e6 | + | 5.17129e6i | −0.200205 | + | 0.115588i | ||||
\(356\) | − | 3.41329e7i | − | 0.756525i | ||||||
\(357\) | −682718. | + | 1.55620e6i | −0.0150050 | + | 0.0342027i | ||||
\(358\) | −4.69053e7 | −1.02229 | ||||||||
\(359\) | −3.87579e7 | − | 6.71306e7i | −0.837677 | − | 1.45090i | −0.891832 | − | 0.452366i | \(-0.850580\pi\) |
0.0541559 | − | 0.998532i | \(-0.482753\pi\) | |||||||
\(360\) | 9.76823e6 | + | 5.63969e6i | 0.209367 | + | 0.120878i | ||||
\(361\) | −5.51894e6 | + | 9.55909e6i | −0.117310 | + | 0.203187i | ||||
\(362\) | 1.18485e8 | − | 6.84075e7i | 2.49769 | − | 1.44204i | ||||
\(363\) | − | 2.15474e7i | − | 0.450479i | ||||||
\(364\) | 2.20151e7 | + | 1.99012e8i | 0.456474 | + | 4.12643i | ||||
\(365\) | 1.42915e7 | 0.293900 | ||||||||
\(366\) | −2.82249e7 | − | 4.88870e7i | −0.575691 | − | 0.997126i | ||||
\(367\) | −3.58541e7 | − | 2.07004e7i | −0.725338 | − | 0.418774i | 0.0913764 | − | 0.995816i | \(-0.470873\pi\) |
−0.816714 | + | 0.577042i | \(0.804207\pi\) | |||||||
\(368\) | 347732. | − | 602290.i | 0.00697753 | − | 0.0120854i | ||||
\(369\) | 2.11570e7 | − | 1.22150e7i | 0.421090 | − | 0.243117i | ||||
\(370\) | − | 7.00083e6i | − | 0.138212i | ||||||
\(371\) | 3.38268e7 | − | 3.74199e6i | 0.662429 | − | 0.0732791i | ||||
\(372\) | −5.66067e7 | −1.09961 | ||||||||
\(373\) | 2.39688e7 | + | 4.15152e7i | 0.461871 | + | 0.799983i | 0.999054 | − | 0.0434819i | \(-0.0138451\pi\) |
−0.537184 | + | 0.843465i | \(0.680512\pi\) | |||||||
\(374\) | 2.67827e6 | + | 1.54630e6i | 0.0511965 | + | 0.0295583i | ||||
\(375\) | 6.15779e6 | − | 1.06656e7i | 0.116770 | − | 0.202251i | ||||
\(376\) | 1.02489e8 | − | 5.91722e7i | 1.92803 | − | 1.11315i | ||||
\(377\) | − | 7.90647e7i | − | 1.47557i | ||||||
\(378\) | 1.85556e7 | + | 8.14052e6i | 0.343558 | + | 0.150722i | ||||
\(379\) | −1.73029e7 | −0.317835 | −0.158917 | − | 0.987292i | \(-0.550800\pi\) | ||||
−0.158917 | + | 0.987292i | \(0.550800\pi\) | |||||||
\(380\) | −1.38905e7 | − | 2.40591e7i | −0.253145 | − | 0.438459i | ||||
\(381\) | 1.43644e7 | + | 8.29327e6i | 0.259724 | + | 0.149952i | ||||
\(382\) | −1.12398e7 | + | 1.94679e7i | −0.201636 | + | 0.349244i | ||||
\(383\) | −5.60339e7 | + | 3.23512e7i | −0.997365 | + | 0.575829i | −0.907468 | − | 0.420122i | \(-0.861987\pi\) |
−0.0898976 | + | 0.995951i | \(0.528654\pi\) | |||||||
\(384\) | 1.42356e8i | 2.51409i | ||||||||
\(385\) | 4.45489e6 | − | 3.27394e6i | 0.0780646 | − | 0.0573704i | ||||
\(386\) | 2.65462e7 | 0.461573 | ||||||||
\(387\) | −8.24665e6 | − | 1.42836e7i | −0.142280 | − | 0.246437i | ||||
\(388\) | 1.66487e8 | + | 9.61214e7i | 2.85027 | + | 1.64560i | ||||
\(389\) | 3.97139e7 | − | 6.87865e7i | 0.674673 | − | 1.16857i | −0.301891 | − | 0.953342i | \(-0.597618\pi\) |
0.976564 | − | 0.215226i | \(-0.0690488\pi\) | |||||||
\(390\) | −1.77157e7 | + | 1.02281e7i | −0.298651 | + | 0.172426i | ||||
\(391\) | 13354.0i | 0.000223399i | ||||||||
\(392\) | −6.31271e7 | + | 2.01747e8i | −1.04799 | + | 3.34927i | ||||
\(393\) | 1.01710e7 | 0.167566 | ||||||||
\(394\) | −5.01093e7 | − | 8.67919e7i | −0.819276 | − | 1.41903i | ||||
\(395\) | 234494. | + | 135385.i | 0.00380488 | + | 0.00219675i | ||||
\(396\) | 1.35859e7 | − | 2.35315e7i | 0.218778 | − | 0.378934i | ||||
\(397\) | −2.19165e7 | + | 1.26535e7i | −0.350267 | + | 0.202227i | −0.664803 | − | 0.747019i | \(-0.731484\pi\) |
0.314536 | + | 0.949246i | \(0.398151\pi\) | |||||||
\(398\) | 1.03925e8i | 1.64843i | ||||||||
\(399\) | −1.90002e7 | − | 2.58537e7i | −0.299115 | − | 0.407010i | ||||
\(400\) | 2.47581e8 | 3.86846 | ||||||||
\(401\) | −5.65920e6 | − | 9.80202e6i | −0.0877651 | − | 0.152014i | 0.818801 | − | 0.574077i | \(-0.194639\pi\) |
−0.906566 | + | 0.422064i | \(0.861306\pi\) | |||||||
\(402\) | −8.65056e6 | − | 4.99440e6i | −0.133158 | − | 0.0768786i | ||||
\(403\) | 3.30000e7 | − | 5.71577e7i | 0.504195 | − | 0.873292i | ||||
\(404\) | 8.26546e7 | − | 4.77206e7i | 1.25350 | − | 0.723706i | ||||
\(405\) | 1.52542e6i | 0.0229628i | ||||||||
\(406\) | 5.21643e7 | − | 1.18904e8i | 0.779462 | − | 1.77672i | ||||
\(407\) | −1.08422e7 | −0.160818 | ||||||||
\(408\) | −4.45109e6 | − | 7.70951e6i | −0.0655368 | − | 0.113513i | ||||
\(409\) | −3.32964e7 | − | 1.92237e7i | −0.486661 | − | 0.280974i | 0.236527 | − | 0.971625i | \(-0.423991\pi\) |
−0.723188 | + | 0.690651i | \(0.757324\pi\) | |||||||
\(410\) | −2.02516e7 | + | 3.50768e7i | −0.293838 | + | 0.508942i | ||||
\(411\) | 6.20663e7 | − | 3.58340e7i | 0.893985 | − | 0.516142i | ||||
\(412\) | 1.87208e8i | 2.67691i | ||||||||
\(413\) | −3.79694e6 | − | 3.43236e7i | −0.0538994 | − | 0.487240i | ||||
\(414\) | 159229. | 0.00224399 | ||||||||
\(415\) | −9.20688e6 | − | 1.59468e7i | −0.128815 | − | 0.223115i | ||||
\(416\) | −4.03780e8 | − | 2.33123e8i | −5.60874 | − | 3.23821i | ||||
\(417\) | −1.53375e7 | + | 2.65654e7i | −0.211518 | + | 0.366360i | ||||
\(418\) | −5.05666e7 | + | 2.91947e7i | −0.692365 | + | 0.399737i | ||||
\(419\) | − | 5.55673e7i | − | 0.755401i | −0.925928 | − | 0.377701i | \(-0.876715\pi\) | ||
0.925928 | − | 0.377701i | \(-0.123285\pi\) | |||||||
\(420\) | −2.46040e7 | + | 2.72174e6i | −0.332092 | + | 0.0367366i | ||||
\(421\) | −9.27660e7 | −1.24320 | −0.621602 | − | 0.783333i | \(-0.713518\pi\) | ||||
−0.621602 | + | 0.783333i | \(0.713518\pi\) | |||||||
\(422\) | −8.32339e6 | − | 1.44165e7i | −0.110755 | − | 0.191833i | ||||
\(423\) | 1.38606e7 | + | 8.00242e6i | 0.183131 | + | 0.105730i | ||||
\(424\) | −8.91416e7 | + | 1.54398e8i | −1.16945 | + | 2.02555i | ||||
\(425\) | −4.11703e6 | + | 2.37697e6i | −0.0536312 | + | 0.0309640i | ||||
\(426\) | − | 9.73308e7i | − | 1.25899i | ||||||
\(427\) | 7.29349e7 | + | 3.19972e7i | 0.936811 | + | 0.410988i | ||||
\(428\) | 6.43099e7 | 0.820251 | ||||||||
\(429\) | 1.58403e7 | + | 2.74363e7i | 0.200629 | + | 0.347499i | ||||
\(430\) | 2.36812e7 | + | 1.36723e7i | 0.297850 | + | 0.171964i | ||||
\(431\) | −6.58699e7 | + | 1.14090e8i | −0.822726 | + | 1.42500i | 0.0809190 | + | 0.996721i | \(0.474215\pi\) |
−0.903645 | + | 0.428282i | \(0.859119\pi\) | |||||||
\(432\) | −5.42993e7 | + | 3.13497e7i | −0.673508 | + | 0.388850i | ||||
\(433\) | 9.64602e7i | 1.18819i | 0.804396 | + | 0.594093i | \(0.202489\pi\) | ||||
−0.804396 | + | 0.594093i | \(0.797511\pi\) | |||||||
\(434\) | 8.73388e7 | − | 6.41861e7i | 1.06841 | − | 0.785184i | ||||
\(435\) | 9.77485e6 | 0.118752 | ||||||||
\(436\) | −6.74182e7 | − | 1.16772e8i | −0.813426 | − | 1.40889i | ||||
\(437\) | −218349. | − | 126064.i | −0.00261641 | − | 0.00151059i | ||||
\(438\) | −6.72465e7 | + | 1.16474e8i | −0.800289 | + | 1.38614i | ||||
\(439\) | −8.41958e7 | + | 4.86105e7i | −0.995169 | + | 0.574561i | −0.906815 | − | 0.421528i | \(-0.861494\pi\) |
−0.0883535 | + | 0.996089i | \(0.528161\pi\) | |||||||
\(440\) | 2.89613e7i | 0.339985i | ||||||||
\(441\) | −2.78975e7 | + | 6.24861e6i | −0.325274 | + | 0.0728564i | ||||
\(442\) | 1.61450e7 | 0.186970 | ||||||||
\(443\) | 8.31985e7 | + | 1.44104e8i | 0.956983 | + | 1.65754i | 0.729764 | + | 0.683699i | \(0.239630\pi\) |
0.227219 | + | 0.973844i | \(0.427037\pi\) | |||||||
\(444\) | 4.20422e7 | + | 2.42731e7i | 0.480326 | + | 0.277317i | ||||
\(445\) | −2.46006e6 | + | 4.26096e6i | −0.0279168 | + | 0.0483534i | ||||
\(446\) | 2.26085e8 | − | 1.30530e8i | 2.54840 | − | 1.47132i | ||||
\(447\) | − | 4.84995e7i | − | 0.543019i | ||||||
\(448\) | −2.38258e8 | − | 3.24200e8i | −2.64980 | − | 3.60562i | ||||
\(449\) | −1.03969e8 | −1.14859 | −0.574294 | − | 0.818649i | \(-0.694723\pi\) | ||||
−0.574294 | + | 0.818649i | \(0.694723\pi\) | |||||||
\(450\) | 2.83423e7 | + | 4.90902e7i | 0.311026 | + | 0.538713i | ||||
\(451\) | 5.43234e7 | + | 3.13637e7i | 0.592185 | + | 0.341898i | ||||
\(452\) | 2.12592e8 | − | 3.68220e8i | 2.30214 | − | 3.98742i | ||||
\(453\) | −2.34794e7 | + | 1.35558e7i | −0.252576 | + | 0.145825i | ||||
\(454\) | − | 2.95713e8i | − | 3.16011i | ||||||
\(455\) | 1.15952e7 | − | 2.64302e7i | 0.123096 | − | 0.280586i | ||||
\(456\) | 1.68076e8 | 1.77260 | ||||||||
\(457\) | 3.54494e7 | + | 6.14002e7i | 0.371416 | + | 0.643311i | 0.989784 | − | 0.142578i | \(-0.0455391\pi\) |
−0.618368 | + | 0.785889i | \(0.712206\pi\) | |||||||
\(458\) | 5.75009e7 | + | 3.31982e7i | 0.598520 | + | 0.345556i | ||||
\(459\) | 601963. | − | 1.04263e6i | 0.00622489 | − | 0.0107818i | ||||
\(460\) | −168462. | + | 97261.4i | −0.00173072 | + | 0.000999234i | ||||
\(461\) | − | 2.94715e7i | − | 0.300815i | −0.988624 | − | 0.150408i | \(-0.951941\pi\) | ||
0.988624 | − | 0.150408i | \(-0.0480586\pi\) | |||||||
\(462\) | 5.72046e6 | + | 5.17119e7i | 0.0580103 | + | 0.524402i | ||||
\(463\) | −7.67219e7 | −0.772994 | −0.386497 | − | 0.922291i | \(-0.626315\pi\) | ||||
−0.386497 | + | 0.922291i | \(0.626315\pi\) | |||||||
\(464\) | 2.00888e8 | + | 3.47949e8i | 2.01095 | + | 3.48306i | ||||
\(465\) | 7.06646e6 | + | 4.07982e6i | 0.0702818 | + | 0.0405772i | ||||
\(466\) | −9.49717e7 | + | 1.64496e8i | −0.938505 | + | 1.62554i | ||||
\(467\) | −1.69532e8 | + | 9.78791e7i | −1.66456 | + | 0.961035i | −0.694068 | + | 0.719910i | \(0.744183\pi\) |
−0.970494 | + | 0.241126i | \(0.922483\pi\) | |||||||
\(468\) | − | 1.41851e8i | − | 1.38387i | ||||||
\(469\) | 1.40078e7 | − | 1.54956e6i | 0.135784 | − | 0.0150207i | ||||
\(470\) | −2.65348e7 | −0.255578 | ||||||||
\(471\) | 6.61727e6 | + | 1.14614e7i | 0.0633310 | + | 0.109692i | ||||
\(472\) | 1.56665e8 | + | 9.04507e7i | 1.48986 | + | 0.860174i | ||||
\(473\) | 2.11744e7 | − | 3.66751e7i | 0.200091 | − | 0.346568i | ||||
\(474\) | −2.20675e6 | + | 1.27407e6i | −0.0207214 | + | 0.0119635i | ||||
\(475\) | − | 8.97559e7i | − | 0.837495i | ||||||
\(476\) | 1.78910e7 | + | 7.84895e6i | 0.165888 | + | 0.0727764i | ||||
\(477\) | −2.41110e7 | −0.222157 | ||||||||
\(478\) | 8.09393e7 | + | 1.40191e8i | 0.741098 | + | 1.28362i | ||||
\(479\) | −2.78233e7 | − | 1.60638e7i | −0.253164 | − | 0.146164i | 0.368048 | − | 0.929807i | \(-0.380026\pi\) |
−0.621212 | + | 0.783642i | \(0.713360\pi\) | |||||||
\(480\) | 2.88212e7 | − | 4.99197e7i | 0.260608 | − | 0.451387i | ||||
\(481\) | −4.90186e7 | + | 2.83009e7i | −0.440480 | + | 0.254311i | ||||
\(482\) | 1.74854e8i | 1.56148i | ||||||||
\(483\) | −181028. | + | 133039.i | −0.00160658 | + | 0.00118069i | ||||
\(484\) | −2.47722e8 | −2.18489 | ||||||||
\(485\) | −1.38555e7 | − | 2.39985e7i | −0.121450 | − | 0.210358i | ||||
\(486\) | −1.24320e7 | − | 7.17762e6i | −0.108301 | − | 0.0625276i | ||||
\(487\) | 8.66229e7 | − | 1.50035e8i | 0.749973 | − | 1.29899i | −0.197862 | − | 0.980230i | \(-0.563400\pi\) |
0.947835 | − | 0.318762i | \(-0.103267\pi\) | |||||||
\(488\) | −3.61325e8 | + | 2.08611e8i | −3.10912 | + | 1.79505i | ||||
\(489\) | 2.09387e7i | 0.179070i | ||||||||
\(490\) | 3.48755e7 | − | 3.20978e7i | 0.296437 | − | 0.272826i | ||||
\(491\) | 2.27726e7 | 0.192383 | 0.0961917 | − | 0.995363i | \(-0.469334\pi\) | ||||
0.0961917 | + | 0.995363i | \(0.469334\pi\) | |||||||
\(492\) | −1.40431e8 | − | 2.43234e8i | −1.17915 | − | 2.04235i | ||||
\(493\) | −6.68115e6 | − | 3.85737e6i | −0.0557584 | − | 0.0321922i | ||||
\(494\) | −1.52411e8 | + | 2.63984e8i | −1.26426 | + | 2.18976i | ||||
\(495\) | −3.39197e6 | + | 1.95836e6i | −0.0279664 | + | 0.0161464i | ||||
\(496\) | 3.35387e8i | 2.74853i | ||||||||
\(497\) | 8.13217e7 | + | 1.10656e8i | 0.662426 | + | 0.901372i | ||||
\(498\) | 1.73286e8 | 1.40306 | ||||||||
\(499\) | 7.15586e7 | + | 1.23943e8i | 0.575917 | + | 0.997518i | 0.995941 | + | 0.0900050i | \(0.0286883\pi\) |
−0.420024 | + | 0.907513i | \(0.637978\pi\) | |||||||
\(500\) | −1.22618e8 | − | 7.07938e7i | −0.980947 | − | 0.566350i | ||||
\(501\) | −5.14669e7 | + | 8.91433e7i | −0.409275 | + | 0.708885i | ||||
\(502\) | 3.56077e8 | − | 2.05581e8i | 2.81470 | − | 1.62507i | ||||
\(503\) | − | 1.94323e8i | − | 1.52693i | −0.645848 | − | 0.763466i | \(-0.723496\pi\) | ||
0.645848 | − | 0.763466i | \(-0.276504\pi\) | |||||||
\(504\) | 6.01667e7 | − | 1.37145e8i | 0.469964 | − | 1.07124i | ||||
\(505\) | −1.37575e7 | −0.106823 | ||||||||
\(506\) | 204421. | + | 354067.i | 0.00157788 | + | 0.00273296i | ||||
\(507\) | 7.80696e7 | + | 4.50735e7i | 0.599043 | + | 0.345858i | ||||
\(508\) | 9.53446e7 | − | 1.65142e8i | 0.727286 | − | 1.25970i | ||||
\(509\) | −1.45925e7 | + | 8.42496e6i | −0.110656 | + | 0.0638873i | −0.554307 | − | 0.832313i | \(-0.687016\pi\) |
0.443651 | + | 0.896200i | \(0.353683\pi\) | |||||||
\(510\) | 1.99602e6i | 0.0150472i | ||||||||
\(511\) | −2.08639e7 | − | 1.88606e8i | −0.156363 | − | 1.41349i | ||||
\(512\) | 4.65851e8 | 3.47086 | ||||||||
\(513\) | 1.13652e7 | + | 1.96852e7i | 0.0841835 | + | 0.145810i | ||||
\(514\) | −3.47515e8 | − | 2.00638e8i | −2.55909 | − | 1.47749i | ||||
\(515\) | 1.34927e7 | − | 2.33700e7i | 0.0987817 | − | 0.171095i | ||||
\(516\) | −1.64213e8 | + | 9.48087e7i | −1.19525 | + | 0.690079i | ||||
\(517\) | 4.10946e7i | 0.297381i | ||||||||
\(518\) | −9.23902e7 | + | 1.02204e7i | −0.664717 | + | 0.0735322i | ||||
\(519\) | −1.46846e8 | −1.05041 | ||||||||
\(520\) | 7.55964e7 | + | 1.30937e8i | 0.537640 | + | 0.931219i | ||||
\(521\) | 5.01224e7 | + | 2.89382e7i | 0.354421 | + | 0.204625i | 0.666631 | − | 0.745388i | \(-0.267736\pi\) |
−0.312210 | + | 0.950013i | \(0.601069\pi\) | |||||||
\(522\) | −4.59940e7 | + | 7.96640e7i | −0.323363 | + | 0.560081i | ||||
\(523\) | 2.20396e8 | − | 1.27246e8i | 1.54063 | − | 0.889483i | 0.541831 | − | 0.840487i | \(-0.317731\pi\) |
0.998799 | − | 0.0489961i | \(-0.0156022\pi\) | |||||||
\(524\) | − | 1.16932e8i | − | 0.812716i | ||||||
\(525\) | −7.32382e7 | − | 3.21303e7i | −0.506127 | − | 0.222043i | ||||
\(526\) | 2.63848e8 | 1.81299 | ||||||||
\(527\) | −3.21997e6 | − | 5.57715e6i | −0.0219999 | − | 0.0381049i | ||||
\(528\) | −1.39421e8 | − | 8.04946e7i | −0.947164 | − | 0.546846i | ||||
\(529\) | 7.40171e7 | − | 1.28201e8i | 0.499994 | − | 0.866015i | ||||
\(530\) | 3.46186e7 | − | 1.99871e7i | 0.232532 | − | 0.134252i | ||||
\(531\) | 2.44650e7i | 0.163404i | ||||||||
\(532\) | −2.97231e8 | + | 2.18438e8i | −1.97405 | + | 1.45075i | ||||
\(533\) | 3.27469e8 | 2.16266 | ||||||||
\(534\) | −2.31509e7 | − | 4.00985e7i | −0.152035 | − | 0.263333i | ||||
\(535\) | −8.02808e6 | − | 4.63501e6i | −0.0524264 | − | 0.0302684i | ||||
\(536\) | −3.69137e7 | + | 6.39364e7i | −0.239714 | + | 0.415197i | ||||
\(537\) | −4.06033e7 | + | 2.34423e7i | −0.262203 | + | 0.151383i | ||||
\(538\) | 4.11626e8i | 2.64336i | ||||||||
\(539\) | −4.97099e7 | − | 5.40117e7i | −0.317451 | − | 0.344923i | ||||
\(540\) | 1.75372e7 | 0.111373 | ||||||||
\(541\) | 3.10487e7 | + | 5.37779e7i | 0.196088 | + | 0.339635i | 0.947257 | − | 0.320476i | \(-0.103843\pi\) |
−0.751168 | + | 0.660111i | \(0.770509\pi\) | |||||||
\(542\) | −8.59981e7 | − | 4.96510e7i | −0.540121 | − | 0.311839i | ||||
\(543\) | 6.83773e7 | − | 1.18433e8i | 0.427083 | − | 0.739730i | ||||
\(544\) | −3.93988e7 | + | 2.27469e7i | −0.244730 | + | 0.141295i | ||||
\(545\) | 1.94362e7i | 0.120066i | ||||||||
\(546\) | 1.60844e8 | + | 2.18862e8i | 0.988159 | + | 1.34460i | ||||
\(547\) | 7.72887e6 | 0.0472230 | 0.0236115 | − | 0.999721i | \(-0.492484\pi\) | ||||
0.0236115 | + | 0.999721i | \(0.492484\pi\) | |||||||
\(548\) | −4.11970e8 | − | 7.13553e8i | −2.50336 | − | 4.33595i | ||||
\(549\) | −4.88654e7 | − | 2.82124e7i | −0.295314 | − | 0.170500i | ||||
\(550\) | −7.27725e7 | + | 1.26046e8i | −0.437401 | + | 0.757600i | ||||
\(551\) | 1.26142e8 | − | 7.28282e7i | 0.754060 | − | 0.435357i | ||||
\(552\) | − | 1.17686e6i | − | 0.00699695i | ||||||
\(553\) | 1.44435e6 | − | 3.29228e6i | 0.00854078 | − | 0.0194680i | ||||
\(554\) | −5.38214e8 | −3.16538 | ||||||||
\(555\) | −3.49887e6 | − | 6.06022e6i | −0.0204667 | − | 0.0354494i | ||||
\(556\) | 3.05412e8 | + | 1.76330e8i | 1.77690 | + | 1.02589i | ||||
\(557\) | −1.26683e7 | + | 2.19422e7i | −0.0733083 | + | 0.126974i | −0.900349 | − | 0.435168i | \(-0.856689\pi\) |
0.827041 | + | 0.562142i | \(0.190022\pi\) | |||||||
\(558\) | −6.65003e7 | + | 3.83939e7i | −0.382755 | + | 0.220984i | ||||
\(559\) | − | 2.21082e8i | − | 1.26566i | ||||||
\(560\) | 1.61259e7 | + | 1.45775e8i | 0.0918249 | + | 0.830079i | ||||
\(561\) | 3.09124e6 | 0.0175083 | ||||||||
\(562\) | −3.13666e8 | − | 5.43285e8i | −1.76709 | − | 3.06069i | ||||
\(563\) | 6.59556e7 | + | 3.80795e7i | 0.369596 | + | 0.213386i | 0.673282 | − | 0.739386i | \(-0.264884\pi\) |
−0.303686 | + | 0.952772i | \(0.598217\pi\) | |||||||
\(564\) | 9.20008e7 | − | 1.59350e8i | 0.512807 | − | 0.888209i | ||||
\(565\) | −5.30775e7 | + | 3.06443e7i | −0.294283 | + | 0.169904i | ||||
\(566\) | 4.56227e7i | 0.251612i | ||||||||
\(567\) | 2.01310e7 | − | 2.22693e6i | 0.110437 | − | 0.0122168i | ||||
\(568\) | −7.19374e8 | −3.92563 | ||||||||
\(569\) | 2.66483e7 | + | 4.61562e7i | 0.144655 | + | 0.250549i | 0.929244 | − | 0.369466i | \(-0.120460\pi\) |
−0.784589 | + | 0.620016i | \(0.787126\pi\) | |||||||
\(570\) | −3.26366e7 | − | 1.88427e7i | −0.176230 | − | 0.101746i | ||||
\(571\) | −2.05691e7 | + | 3.56267e7i | −0.110486 | + | 0.191367i | −0.915966 | − | 0.401255i | \(-0.868574\pi\) |
0.805480 | + | 0.592622i | \(0.201907\pi\) | |||||||
\(572\) | 3.15425e8 | − | 1.82110e8i | 1.68542 | − | 0.973076i | ||||
\(573\) | 2.24697e7i | 0.119435i | ||||||||
\(574\) | 4.92474e8 | + | 2.16053e8i | 2.60404 | + | 1.14242i | ||||
\(575\) | −628469. | −0.00330583 | ||||||||
\(576\) | 1.42518e8 | + | 2.46848e8i | 0.745764 | + | 1.29170i | ||||
\(577\) | −7.59861e7 | − | 4.38706e7i | −0.395555 | − | 0.228374i | 0.289009 | − | 0.957326i | \(-0.406674\pi\) |
−0.684564 | + | 0.728953i | \(0.740007\pi\) | |||||||
\(578\) | −1.87429e8 | + | 3.24637e8i | −0.970630 | + | 1.68118i | ||||
\(579\) | 2.29795e7 | − | 1.32672e7i | 0.118387 | − | 0.0683510i | ||||
\(580\) | − | 1.12378e8i | − | 0.575965i | ||||||
\(581\) | −1.97009e8 | + | 1.44784e8i | −1.00452 | + | 0.738230i | ||||
\(582\) | 2.60780e8 | 1.32284 | ||||||||
\(583\) | −3.09540e7 | − | 5.36140e7i | −0.156211 | − | 0.270565i | ||||
\(584\) | 8.60864e8 | + | 4.97020e8i | 4.32211 | + | 2.49537i | ||||
\(585\) | −1.02236e7 | + | 1.77078e7i | −0.0510667 | + | 0.0884501i | ||||
\(586\) | −1.57670e8 | + | 9.10307e7i | −0.783530 | + | 0.452371i | ||||
\(587\) | 4.55880e7i | 0.225391i | 0.993630 | + | 0.112695i | \(0.0359485\pi\) | ||||
−0.993630 | + | 0.112695i | \(0.964052\pi\) | |||||||
\(588\) | 7.18379e7 | + | 3.20727e8i | 0.353363 | + | 1.57762i | ||||
\(589\) | 1.21588e8 | 0.595039 | ||||||||
\(590\) | −2.02806e7 | − | 3.51270e7i | −0.0987473 | − | 0.171035i | ||||
\(591\) | −8.67536e7 | − | 5.00872e7i | −0.420267 | − | 0.242641i | ||||
\(592\) | 1.43814e8 | − | 2.49094e8i | 0.693166 | − | 1.20060i | ||||
\(593\) | −1.25860e8 | + | 7.26654e7i | −0.603565 | + | 0.348468i | −0.770443 | − | 0.637509i | \(-0.779965\pi\) |
0.166878 | + | 0.985978i | \(0.446631\pi\) | |||||||
\(594\) | − | 3.68590e7i | − | 0.175867i | ||||||
\(595\) | −1.66771e6 | − | 2.26928e6i | −0.00791718 | − | 0.0107730i | ||||
\(596\) | −5.57581e8 | −2.63372 | ||||||||
\(597\) | 5.19395e7 | + | 8.99619e7i | 0.244104 | + | 0.422801i | ||||
\(598\) | 1.84841e6 | + | 1.06718e6i | 0.00864361 | + | 0.00499039i | ||||
\(599\) | −2.81542e7 | + | 4.87645e7i | −0.130998 | + | 0.226894i | −0.924061 | − | 0.382244i | \(-0.875151\pi\) |
0.793064 | + | 0.609139i | \(0.208485\pi\) | |||||||
\(600\) | 3.62827e8 | − | 2.09478e8i | 1.67975 | − | 0.969807i | ||||
\(601\) | 2.39440e8i | 1.10299i | 0.834177 | + | 0.551497i | \(0.185943\pi\) | ||||
−0.834177 | + | 0.551497i | \(0.814057\pi\) | |||||||
\(602\) | 1.45863e8 | − | 3.32482e8i | 0.668582 | − | 1.52398i | ||||
\(603\) | −9.98439e6 | −0.0455376 | ||||||||
\(604\) | 1.55846e8 | + | 2.69934e8i | 0.707271 | + | 1.22503i | ||||
\(605\) | 3.09242e7 | + | 1.78541e7i | 0.139647 | + | 0.0806254i | ||||
\(606\) | 6.47338e7 | − | 1.12122e8i | 0.290879 | − | 0.503818i | ||||
\(607\) | −2.54893e8 | + | 1.47163e8i | −1.13970 | + | 0.658008i | −0.946357 | − | 0.323122i | \(-0.895268\pi\) |
−0.193347 | + | 0.981130i | \(0.561934\pi\) | |||||||
\(608\) | − | 8.58938e8i | − | 3.82165i | ||||||
\(609\) | −1.42701e7 | − | 1.28999e8i | −0.0631794 | − | 0.571130i | ||||
\(610\) | 9.35483e7 | 0.412141 | ||||||||
\(611\) | 1.07267e8 | + | 1.85792e8i | 0.470266 | + | 0.814525i | ||||
\(612\) | −1.19867e7 | − | 6.92054e6i | −0.0522933 | − | 0.0301916i | ||||
\(613\) | −1.10391e8 | + | 1.91204e8i | −0.479241 | + | 0.830070i | −0.999717 | − | 0.0238066i | \(-0.992421\pi\) |
0.520475 | + | 0.853877i | \(0.325755\pi\) | |||||||
\(614\) | 4.32451e8 | − | 2.49676e8i | 1.86824 | − | 1.07863i | ||||
\(615\) | 4.04853e7i | 0.174049i | ||||||||
\(616\) | 3.82203e8 | − | 4.22801e7i | 1.63513 | − | 0.180881i | ||||
\(617\) | 3.86786e8 | 1.64670 | 0.823352 | − | 0.567531i | \(-0.192101\pi\) | ||||
0.823352 | + | 0.567531i | \(0.192101\pi\) | |||||||
\(618\) | 1.26975e8 | + | 2.19928e8i | 0.537965 | + | 0.931783i | ||||
\(619\) | 1.13096e8 | + | 6.52959e7i | 0.476842 | + | 0.275305i | 0.719100 | − | 0.694907i | \(-0.244554\pi\) |
−0.242257 | + | 0.970212i | \(0.577888\pi\) | |||||||
\(620\) | 4.69042e7 | − | 8.12404e7i | 0.196805 | − | 0.340876i | ||||
\(621\) | 137835. | − | 79579.3i | 0.000575554 | − | 0.000332296i | ||||
\(622\) | − | 3.78321e7i | − | 0.157213i | ||||||
\(623\) | 5.98234e7 | + | 2.62451e7i | 0.247404 | + | 0.108538i | ||||
\(624\) | −8.40446e8 | −3.45904 | ||||||||
\(625\) | −1.06652e8 | − | 1.84727e8i | −0.436847 | − | 0.756641i | ||||
\(626\) | −3.79138e8 | − | 2.18895e8i | −1.54552 | − | 0.892305i | ||||
\(627\) | −2.91818e7 | + | 5.05443e7i | −0.118388 | + | 0.205055i | ||||
\(628\) | 1.31768e8 | − | 7.60762e7i | 0.532023 | − | 0.307164i | ||||
\(629\) | 5.52292e6i | 0.0221930i | ||||||||
\(630\) | −2.70582e7 | + | 1.98853e7i | −0.108212 | + | 0.0795262i | ||||
\(631\) | −1.10414e8 | −0.439475 | −0.219738 | − | 0.975559i | \(-0.570520\pi\) | ||||
−0.219738 | + | 0.975559i | \(0.570520\pi\) | |||||||
\(632\) | 9.41667e6 | + | 1.63102e7i | 0.0373032 | + | 0.0646111i | ||||
\(633\) | −1.44102e7 | − | 8.31972e6i | −0.0568144 | − | 0.0328018i | ||||
\(634\) | −5.99029e7 | + | 1.03755e8i | −0.235061 | + | 0.407137i | ||||
\(635\) | −2.38045e7 | + | 1.37436e7i | −0.0929691 | + | 0.0536757i | ||||
\(636\) | 2.77195e8i | 1.07749i | ||||||||
\(637\) | −3.65728e8 | − | 1.14437e8i | −1.41494 | − | 0.442739i | ||||
\(638\) | −2.36192e8 | −0.909499 | ||||||||
\(639\) | −4.86439e7 | − | 8.42537e7i | −0.186434 | − | 0.322914i | ||||
\(640\) | −2.04305e8 | − | 1.17956e8i | −0.779362 | − | 0.449965i | ||||
\(641\) | 2.56393e7 | − | 4.44085e7i | 0.0973491 | − | 0.168614i | −0.813238 | − | 0.581932i | \(-0.802297\pi\) |
0.910587 | + | 0.413318i | \(0.135630\pi\) | |||||||
\(642\) | 7.55498e7 | − | 4.36187e7i | 0.285515 | − | 0.164842i | ||||
\(643\) | 2.95342e8i | 1.11094i | 0.831535 | + | 0.555472i | \(0.187463\pi\) | ||||
−0.831535 | + | 0.555472i | \(0.812537\pi\) | |||||||
\(644\) | 1.52950e6 | + | 2.08121e6i | 0.00572652 | + | 0.00779215i | ||||
\(645\) | 2.73326e7 | 0.101860 | ||||||||
\(646\) | 1.48715e7 | + | 2.57582e7i | 0.0551642 | + | 0.0955472i | ||||
\(647\) | −2.54170e8 | − | 1.46745e8i | −0.938449 | − | 0.541814i | −0.0489752 | − | 0.998800i | \(-0.515596\pi\) |
−0.889474 | + | 0.456986i | \(0.848929\pi\) | |||||||
\(648\) | −5.30499e7 | + | 9.18852e7i | −0.194966 | + | 0.337692i | ||||
\(649\) | −5.44013e7 | + | 3.14086e7i | −0.199010 | + | 0.114899i | ||||
\(650\) | 7.59820e8i | 2.76675i | ||||||||
\(651\) | 4.35254e7 | − | 9.92124e7i | 0.157761 | − | 0.359603i | ||||
\(652\) | 2.40724e8 | 0.868515 | ||||||||
\(653\) | −1.58530e8 | − | 2.74583e8i | −0.569342 | − | 0.986129i | −0.996631 | − | 0.0820143i | \(-0.973865\pi\) |
0.427289 | − | 0.904115i | \(-0.359469\pi\) | |||||||
\(654\) | −1.58403e8 | − | 9.14538e7i | −0.566277 | − | 0.326940i | ||||
\(655\) | −8.42764e6 | + | 1.45971e7i | −0.0299904 | + | 0.0519449i | ||||
\(656\) | −1.44113e9 | + | 8.32035e8i | −5.10494 | + | 2.94734i | ||||
\(657\) | 1.34434e8i | 0.474036i | ||||||||
\(658\) | 3.87377e7 | + | 3.50181e8i | 0.135974 | + | 1.22918i | ||||
\(659\) | 1.86604e8 | 0.652026 | 0.326013 | − | 0.945365i | \(-0.394295\pi\) | ||||
0.326013 | + | 0.945365i | \(0.394295\pi\) | |||||||
\(660\) | 2.25145e7 | + | 3.89962e7i | 0.0783124 | + | 0.135641i | ||||
\(661\) | 2.56295e8 | + | 1.47972e8i | 0.887433 | + | 0.512359i | 0.873102 | − | 0.487538i | \(-0.162105\pi\) |
0.0143307 | + | 0.999897i | \(0.495438\pi\) | |||||||
\(662\) | 3.99868e8 | − | 6.92592e8i | 1.37830 | − | 2.38728i | ||||
\(663\) | 1.39758e7 | − | 8.06893e6i | 0.0479552 | − | 0.0276870i | ||||
\(664\) | − | 1.28076e9i | − | 4.37486i | ||||||
\(665\) | 5.28480e7 | − | 5.84615e6i | 0.179707 | − | 0.0198795i | ||||
\(666\) | 6.58536e7 | 0.222924 | ||||||||
\(667\) | −509942. | − | 883246.i | −0.00171848 | − | 0.00297649i | ||||
\(668\) | 1.02485e9 | + | 5.91696e8i | 3.43819 | + | 1.98504i | ||||
\(669\) | 1.30473e8 | − | 2.25985e8i | 0.435753 | − | 0.754747i | ||||
\(670\) | 1.43356e7 | − | 8.27669e6i | 0.0476643 | − | 0.0275190i | ||||
\(671\) | − | 1.44878e8i | − | 0.479552i | ||||||
\(672\) | −7.00868e8 | − | 3.07477e8i | −2.30956 | − | 1.01322i | ||||
\(673\) | 1.17111e8 | 0.384197 | 0.192098 | − | 0.981376i | \(-0.438471\pi\) | ||||
0.192098 | + | 0.981376i | \(0.438471\pi\) | |||||||
\(674\) | −1.26968e8 | − | 2.19916e8i | −0.414683 | − | 0.718252i | ||||
\(675\) | 4.90686e7 | + | 2.83298e7i | 0.159548 | + | 0.0921152i | ||||
\(676\) | 5.18193e8 | − | 8.97537e8i | 1.67746 | − | 2.90544i | ||||
\(677\) | −8.12613e7 | + | 4.69162e7i | −0.261889 | + | 0.151202i | −0.625196 | − | 0.780468i | \(-0.714981\pi\) |
0.363307 | + | 0.931670i | \(0.381648\pi\) | |||||||
\(678\) | − | 5.76769e8i | − | 1.85060i | ||||||
\(679\) | −2.96482e8 | + | 2.17887e8i | −0.947084 | + | 0.696020i | ||||
\(680\) | 1.47526e7 | 0.0469183 | ||||||||
\(681\) | −1.47791e8 | − | 2.55982e8i | −0.467958 | − | 0.810527i | ||||
\(682\) | −1.70748e8 | − | 9.85815e7i | −0.538274 | − | 0.310772i | ||||
\(683\) | 1.47967e8 | − | 2.56287e8i | 0.464412 | − | 0.804385i | −0.534763 | − | 0.845002i | \(-0.679599\pi\) |
0.999175 | + | 0.0406170i | \(0.0129323\pi\) | |||||||
\(684\) | 2.26313e8 | − | 1.30662e8i | 0.707199 | − | 0.408301i | ||||
\(685\) | 1.18768e8i | 0.369510i | ||||||||
\(686\) | −4.74509e8 | − | 4.13394e8i | −1.46985 | − | 1.28054i | ||||
\(687\) | 6.63671e7 | 0.204683 | ||||||||
\(688\) | 5.61728e8 | + | 9.72941e8i | 1.72489 | + | 2.98759i | ||||
\(689\) | −2.79892e8 | − | 1.61596e8i | −0.855723 | − | 0.494052i | ||||
\(690\) | −131937. | + | 228521.i | −0.000401622 | + | 0.000695630i | ||||
\(691\) | −9.29926e6 | + | 5.36893e6i | −0.0281848 | + | 0.0162725i | −0.514026 | − | 0.857774i | \(-0.671847\pi\) |
0.485841 | + | 0.874047i | \(0.338513\pi\) | |||||||
\(692\) | 1.68823e9i | 5.09464i | ||||||||
\(693\) | 3.07964e7 | + | 4.19050e7i | 0.0925338 | + | 0.125912i | ||||
\(694\) | 1.18213e9 | 3.53660 | ||||||||
\(695\) | −2.54173e7 | − | 4.40240e7i | −0.0757137 | − | 0.131140i | ||||
\(696\) | 5.88798e8 | + | 3.39943e8i | 1.74638 | + | 1.00827i | ||||
\(697\) | 1.59764e7 | − | 2.76719e7i | 0.0471824 | − | 0.0817222i | ||||
\(698\) | 3.91322e8 | − | 2.25930e8i | 1.15072 | − | 0.664366i | ||||
\(699\) | 1.89860e8i | 0.555906i | ||||||||
\(700\) | −3.69390e8 | + | 8.41992e8i | −1.07694 | + | 2.45479i | ||||
\(701\) | 1.38696e8 | 0.402634 | 0.201317 | − | 0.979526i | \(-0.435478\pi\) | ||||
0.201317 | + | 0.979526i | \(0.435478\pi\) | |||||||
\(702\) | −9.62114e7 | − | 1.66643e8i | −0.278109 | − | 0.481699i | ||||
\(703\) | −9.03043e7 | − | 5.21372e7i | −0.259922 | − | 0.150066i | ||||
\(704\) | −3.65933e8 | + | 6.33815e8i | −1.04878 | + | 1.81654i | ||||
\(705\) | −2.29697e7 | + | 1.32616e7i | −0.0655523 | + | 0.0378466i | ||||
\(706\) | − | 9.19153e8i | − | 2.61200i | ||||||
\(707\) | 2.00843e7 | + | 1.81558e8i | 0.0568327 | + | 0.513757i | ||||
\(708\) | 2.81265e8 | 0.792532 | ||||||||
\(709\) | −1.68784e8 | − | 2.92343e8i | −0.473580 | − | 0.820264i | 0.525963 | − | 0.850508i | \(-0.323705\pi\) |
−0.999543 | + | 0.0302432i | \(0.990372\pi\) | |||||||
\(710\) | 1.39686e8 | + | 8.06480e7i | 0.390282 | + | 0.225330i | ||||
\(711\) | −1.27351e6 | + | 2.20578e6i | −0.00354318 | + | 0.00613696i | ||||
\(712\) | −2.96369e8 | + | 1.71109e8i | −0.821094 | + | 0.474059i | ||||
\(713\) | − | 851358.i | − | 0.00234879i | ||||||
\(714\) | 2.63415e7 | − | 2.91395e6i | 0.0723680 | − | 0.00800549i | ||||
\(715\) | −5.25011e7 | −0.143632 | ||||||||
\(716\) | 2.69507e8 | + | 4.66800e8i | 0.734229 | + | 1.27172i | ||||
\(717\) | 1.40129e8 | + | 8.09035e7i | 0.380164 | + | 0.219488i | ||||
\(718\) | −6.04442e8 | + | 1.04692e9i | −1.63298 | + | 2.82841i | ||||
\(719\) | −9.78596e7 | + | 5.64993e7i | −0.263279 | + | 0.152004i | −0.625830 | − | 0.779960i | \(-0.715239\pi\) |
0.362550 | + | 0.931964i | \(0.381906\pi\) | |||||||
\(720\) | − | 1.03905e8i | − | 0.278381i | ||||||
\(721\) | −3.28113e8 | − | 1.43946e8i | −0.875421 | − | 0.384055i | ||||
\(722\) | 1.72140e8 | 0.457372 | ||||||||
\(723\) | 8.73886e7 | + | 1.51362e8i | 0.231228 | + | 0.400498i | ||||
\(724\) | −1.36158e9 | − | 7.86108e8i | −3.58779 | − | 2.07141i | ||||
\(725\) | 1.81536e8 | − | 3.14430e8i | 0.476376 | − | 0.825107i | ||||
\(726\) | −2.91018e8 | + | 1.68020e8i | −0.760520 | + | 0.439086i | ||||
\(727\) | − | 4.17662e8i | − | 1.08698i | −0.839415 | − | 0.543490i | \(-0.817102\pi\) | ||
0.839415 | − | 0.543490i | \(-0.182898\pi\) | |||||||
\(728\) | 1.61762e9 | − | 1.18880e9i | 4.19258 | − | 3.08117i | ||||
\(729\) | −1.43489e7 | −0.0370370 | ||||||||
\(730\) | −1.11440e8 | − | 1.93020e8i | −0.286467 | − | 0.496175i | ||||
\(731\) | −1.86820e7 | − | 1.07860e7i | −0.0478267 | − | 0.0276128i | ||||
\(732\) | −3.24348e8 | + | 5.61787e8i | −0.826947 | + | 1.43231i | ||||
\(733\) | 6.34509e8 | − | 3.66334e8i | 1.61111 | − | 0.930177i | 0.622000 | − | 0.783017i | \(-0.286320\pi\) |
0.989113 | − | 0.147159i | \(-0.0470130\pi\) | |||||||
\(734\) | 6.45658e8i | 1.63273i | ||||||||
\(735\) | 1.41479e7 | − | 4.52152e7i | 0.0356313 | − | 0.113874i | ||||
\(736\) | −6.01427e6 | −0.0150851 | ||||||||
\(737\) | −1.28181e7 | − | 2.22016e7i | −0.0320201 | − | 0.0554604i | ||||
\(738\) | −3.29951e8 | − | 1.90497e8i | −0.820881 | − | 0.473936i | ||||
\(739\) | −2.93464e8 | + | 5.08295e8i | −0.727146 | + | 1.25945i | 0.230938 | + | 0.972968i | \(0.425820\pi\) |
−0.958084 | + | 0.286486i | \(0.907513\pi\) | |||||||
\(740\) | −6.96721e7 | + | 4.02252e7i | −0.171935 | + | 0.0992665i | ||||
\(741\) | 3.04688e8i | 0.748860i | ||||||||
\(742\) | −3.14309e8 | − | 4.27685e8i | −0.769388 | − | 1.04692i | ||||
\(743\) | −3.73015e8 | −0.909411 | −0.454705 | − | 0.890642i | \(-0.650255\pi\) | ||||
−0.454705 | + | 0.890642i | \(0.650255\pi\) | |||||||
\(744\) | 2.83770e8 | + | 4.91505e8i | 0.689046 | + | 1.19346i | ||||
\(745\) | 6.96052e7 | + | 4.01866e7i | 0.168334 | + | 0.0971879i | ||||
\(746\) | 3.73802e8 | − | 6.47444e8i | 0.900379 | − | 1.55950i | ||||
\(747\) | 1.50004e8 | − | 8.66048e7i | 0.359866 | − | 0.207769i | ||||
\(748\) | − | 3.55388e7i | − | 0.0849177i | ||||||
\(749\) | −4.94484e7 | + | 1.12713e8i | −0.117681 | + | 0.268244i | ||||
\(750\) | −1.92066e8 | −0.455267 | ||||||||
\(751\) | 2.73909e8 | + | 4.74424e8i | 0.646675 | + | 1.12007i | 0.983912 | + | 0.178655i | \(0.0571745\pi\) |
−0.337236 | + | 0.941420i | \(0.609492\pi\) | |||||||
\(752\) | −9.44126e8 | − | 5.45091e8i | −2.22012 | − | 1.28179i | ||||
\(753\) | 2.05490e8 | − | 3.55920e8i | 0.481290 | − | 0.833618i | ||||
\(754\) | −1.06785e9 | + | 6.16521e8i | −2.49112 | + | 1.43825i | ||||
\(755\) | − | 4.49293e7i | − | 0.104397i | ||||||
\(756\) | −2.56022e7 | − | 2.31439e8i | −0.0592531 | − | 0.535637i | ||||
\(757\) | 4.01667e8 | 0.925931 | 0.462966 | − | 0.886376i | \(-0.346785\pi\) | ||||
0.462966 | + | 0.886376i | \(0.346785\pi\) | |||||||
\(758\) | 1.34922e8 | + | 2.33692e8i | 0.309796 | + | 0.536583i | ||||
\(759\) | 353911. | + | 204330.i | 0.000809410 | + | 0.000467313i | ||||
\(760\) | −1.39267e8 | + | 2.41218e8i | −0.317254 | + | 0.549501i | ||||
\(761\) | −9.49273e7 | + | 5.48063e7i | −0.215396 | + | 0.124359i | −0.603816 | − | 0.797123i | \(-0.706354\pi\) |
0.388421 | + | 0.921482i | \(0.373021\pi\) | |||||||
\(762\) | − | 2.58673e8i | − | 0.584636i | ||||||
\(763\) | 2.56500e8 | − | 2.83745e7i | 0.577448 | − | 0.0638784i | ||||
\(764\) | 2.58325e8 | 0.579278 | ||||||||
\(765\) | 997569. | + | 1.72784e6i | 0.00222822 | + | 0.00385940i | ||||
\(766\) | 8.73867e8 | + | 5.04527e8i | 1.94428 | + | 1.12253i | ||||
\(767\) | −1.63969e8 | + | 2.84003e8i | −0.363393 | + | 0.629414i | ||||
\(768\) | 9.09191e8 | − | 5.24922e8i | 2.00711 | − | 1.15881i | ||||
\(769\) | 2.51373e8i | 0.552763i | 0.961048 | + | 0.276381i | \(0.0891353\pi\) | ||||
−0.961048 | + | 0.276381i | \(0.910865\pi\) | |||||||
\(770\) | −7.89554e7 | − | 3.46384e7i | −0.172946 | − | 0.0758728i | ||||
\(771\) | −4.01099e8 | −0.875162 | ||||||||
\(772\) | −1.52528e8 | − | 2.64187e8i | −0.331512 | − | 0.574195i | ||||
\(773\) | −5.00828e8 | − | 2.89153e8i | −1.08430 | − | 0.626022i | −0.152248 | − | 0.988342i | \(-0.548651\pi\) |
−0.932054 | + | 0.362321i | \(0.881985\pi\) | |||||||
\(774\) | −1.28609e8 | + | 2.22758e8i | −0.277364 | + | 0.480408i | ||||
\(775\) | 2.62474e8 | − | 1.51539e8i | 0.563872 | − | 0.325552i | ||||
\(776\) | − | 1.92743e9i | − | 4.12471i | ||||||
\(777\) | −7.48690e7 | + | 5.50219e7i | −0.159602 | + | 0.117293i | ||||
\(778\) | −1.23870e9 | −2.63044 | ||||||||
\(779\) | 3.01639e8 | + | 5.22453e8i | 0.638079 | + | 1.10519i | ||||
\(780\) | 2.03580e8 | + | 1.17537e8i | 0.428995 | + | 0.247680i | ||||
\(781\) | 1.24900e8 | − | 2.16333e8i | 0.262185 | − | 0.454118i | ||||
\(782\) | 180358. | − | 104130.i | 0.000377152 | − | 0.000217749i | ||||
\(783\) | 9.19475e7i | 0.191538i | ||||||||
\(784\) | 1.90026e9 | − | 4.25629e8i | 3.94334 | − | 0.883249i | ||||
\(785\) | −2.19322e7 | −0.0453391 | ||||||||
\(786\) | −7.93099e7 | − | 1.37369e8i | −0.163328 | − | 0.282892i | ||||
\(787\) | 5.03438e8 | + | 2.90660e8i | 1.03281 | + | 0.596296i | 0.917790 | − | 0.397067i | \(-0.129972\pi\) |
0.115025 | + | 0.993363i | \(0.463305\pi\) | |||||||
\(788\) | −5.75834e8 | + | 9.97374e8i | −1.17684 | + | 2.03835i | ||||
\(789\) | 2.28398e8 | − | 1.31866e8i | 0.465009 | − | 0.268473i | ||||
\(790\) | − | 4.22276e6i | − | 0.00856476i | ||||||
\(791\) | 4.81901e8 | + | 6.55729e8i | 0.973708 | + | 1.32494i | ||||
\(792\) | −2.72426e8 | −0.548368 | ||||||||
\(793\) | −3.78170e8 | − | 6.55009e8i | −0.758346 | − | 1.31349i | ||||
\(794\) | 3.41795e8 | + | 1.97335e8i | 0.682817 | + | 0.394224i | ||||
\(795\) | 1.99783e7 | − | 3.46034e7i | 0.0397609 | − | 0.0688679i | ||||
\(796\) | 1.03426e9 | − | 5.97129e8i | 2.05064 | − | 1.18394i | ||||
\(797\) | 2.88172e8i | 0.569215i | 0.958644 | + | 0.284607i | \(0.0918632\pi\) | ||||
−0.958644 | + | 0.284607i | \(0.908137\pi\) | |||||||
\(798\) | −2.01023e8 | + | 4.58214e8i | −0.395582 | + | 0.901696i | ||||
\(799\) | 2.09332e7 | 0.0410388 | ||||||||
\(800\) | −1.07052e9 | − | 1.85420e9i | −2.09086 | − | 3.62148i | ||||
\(801\) | −4.00808e7 | − | 2.31407e7i | −0.0779901 | − | 0.0450276i | ||||
\(802\) | −8.82572e7 | + | 1.52866e8i | −0.171091 | + | 0.296338i | ||||
\(803\) | −2.98931e8 | + | 1.72588e8i | −0.577331 | + | 0.333322i | ||||
\(804\) | 1.14787e8i | 0.220863i | ||||||||
\(805\) | −40934.7 | − | 370041.i | −7.84700e−5 | − | 0.000709353i | ||||
\(806\) | −1.02929e9 | −1.96577 | ||||||||
\(807\) | 2.05722e8 | + | 3.56321e8i | 0.391436 | + | 0.677987i | ||||
\(808\) | −8.28697e8 | − | 4.78449e8i | −1.57095 | − | 0.906987i | ||||
\(809\) | −2.68679e7 | + | 4.65365e7i | −0.0507444 | + | 0.0878918i | −0.890282 | − | 0.455410i | \(-0.849493\pi\) |
0.839537 | + | 0.543302i | \(0.182826\pi\) | |||||||
\(810\) | 2.06022e7 | − | 1.18947e7i | 0.0387668 | − | 0.0223820i | ||||
\(811\) | − | 1.37731e8i | − | 0.258208i | −0.991631 | − | 0.129104i | \(-0.958790\pi\) | ||
0.991631 | − | 0.129104i | \(-0.0412101\pi\) | |||||||
\(812\) | −1.48305e9 | + | 1.64058e8i | −2.77006 | + | 0.306429i | ||||
\(813\) | −9.92583e7 | −0.184712 | ||||||||
\(814\) | 8.45439e7 | + | 1.46434e8i | 0.156750 | + | 0.271500i | ||||
\(815\) | −3.00506e7 | − | 1.73497e7i | −0.0555112 | − | 0.0320494i | ||||
\(816\) | −4.10032e7 | + | 7.10196e7i | −0.0754653 | + | 0.130710i | ||||
\(817\) | 3.52721e8 | − | 2.03644e8i | 0.646793 | − | 0.373426i | ||||
\(818\) | 5.99599e8i | 1.09547i | ||||||||
\(819\) | 2.48616e8 | + | 1.09070e8i | 0.452562 | + | 0.198543i | ||||
\(820\) | 4.65444e8 | 0.844162 | ||||||||
\(821\) | −2.27200e8 | − | 3.93522e8i | −0.410563 | − | 0.711115i | 0.584389 | − | 0.811474i | \(-0.301334\pi\) |
−0.994951 | + | 0.100359i | \(0.968001\pi\) | |||||||
\(822\) | −9.67945e8 | − | 5.58843e8i | −1.74275 | − | 1.00618i | ||||
\(823\) | −1.19151e8 | + | 2.06376e8i | −0.213747 | + | 0.370220i | −0.952884 | − | 0.303335i | \(-0.901900\pi\) |
0.739137 | + | 0.673555i | \(0.235233\pi\) | |||||||
\(824\) | 1.62549e9 | − | 9.38478e8i | 2.90538 | − | 1.67742i | ||||
\(825\) | 1.45481e8i | 0.259086i | ||||||||
\(826\) | −4.33966e8 | + | 3.18925e8i | −0.770044 | + | 0.565912i | ||||
\(827\) | 1.39387e8 | 0.246437 | 0.123218 | − | 0.992380i | \(-0.460678\pi\) | ||||
0.123218 | + | 0.992380i | \(0.460678\pi\) | |||||||
\(828\) | −914893. | − | 1.58464e6i | −0.00161168 | − | 0.00279152i | ||||
\(829\) | 6.84951e8 | + | 3.95457e8i | 1.20225 | + | 0.694121i | 0.961056 | − | 0.276355i | \(-0.0891264\pi\) |
0.241198 | + | 0.970476i | \(0.422460\pi\) | |||||||
\(830\) | −1.43584e8 | + | 2.48695e8i | −0.251115 | + | 0.434944i | ||||
\(831\) | −4.65901e8 | + | 2.68988e8i | −0.811878 | + | 0.468738i | ||||
\(832\) | 3.82072e9i | 6.63399i | ||||||||
\(833\) | −2.75131e7 | + | 2.53217e7i | −0.0475997 | + | 0.0438085i | ||||
\(834\) | 4.78388e8 | 0.824674 | ||||||||
\(835\) | −8.52907e7 | − | 1.47728e8i | −0.146502 | − | 0.253748i | ||||
\(836\) | 5.81089e8 | + | 3.35492e8i | 0.994544 | + | 0.574200i | ||||
\(837\) | −3.83770e7 | + | 6.64709e7i | −0.0654477 | + | 0.113359i | ||||
\(838\) | −7.50490e8 | + | 4.33296e8i | −1.27530 | + | 0.736296i | ||||
\(839\) | − | 8.67968e8i | − | 1.46966i | −0.678250 | − | 0.734832i | \(-0.737261\pi\) | ||
0.678250 | − | 0.734832i | \(-0.262739\pi\) | |||||||
\(840\) | 1.46973e8 | + | 1.99988e8i | 0.247970 | + | 0.337415i | ||||
\(841\) | −5.62593e6 | −0.00945816 | ||||||||
\(842\) | 7.23359e8 | + | 1.25289e9i | 1.21176 | + | 2.09883i | ||||
\(843\) | −5.43045e8 | − | 3.13527e8i | −0.906470 | − | 0.523351i | ||||
\(844\) | −9.56487e7 | + | 1.65668e8i | −0.159093 | + | 0.275558i | ||||
\(845\) | −1.29376e8 | + | 7.46955e7i | −0.214430 | + | 0.123801i | ||||
\(846\) | − | 2.49601e8i | − | 0.412226i | ||||||
\(847\) | 1.90476e8 | − | 4.34173e8i | 0.313465 | − | 0.714517i | ||||
\(848\) | 1.64234e9 | 2.69324 | ||||||||
\(849\) | 2.28013e7 | + | 3.94930e7i | 0.0372594 | + | 0.0645352i | ||||
\(850\) | 6.42065e7 | + | 3.70697e7i | 0.104550 | + | 0.0603618i | ||||
\(851\) | −365064. | + | 632309.i | −0.000592352 | + | 0.00102598i | ||||
\(852\) | −9.68633e8 | + | 5.59241e8i | −1.56618 | + | 0.904232i | ||||
\(853\) | − | 7.06613e8i | − | 1.13850i | −0.822163 | − | 0.569252i | \(-0.807233\pi\) | ||
0.822163 | − | 0.569252i | \(-0.192767\pi\) | |||||||
\(854\) | −1.36569e8 | − | 1.23456e9i | −0.219270 | − | 1.98216i | ||||
\(855\) | −3.76688e7 | −0.0602676 | ||||||||
\(856\) | −3.22387e8 | − | 5.58390e8i | −0.513991 | − | 0.890259i | ||||
\(857\) | −4.82285e8 | − | 2.78447e8i | −0.766233 | − | 0.442385i | 0.0652960 | − | 0.997866i | \(-0.479201\pi\) |
−0.831529 | + | 0.555481i | \(0.812534\pi\) | |||||||
\(858\) | 2.47036e8 | − | 4.27878e8i | 0.391109 | − | 0.677420i | ||||
\(859\) | 2.54250e8 | − | 1.46791e8i | 0.401127 | − | 0.231591i | −0.285843 | − | 0.958276i | \(-0.592274\pi\) |
0.686970 | + | 0.726686i | \(0.258940\pi\) | |||||||
\(860\) | − | 3.14233e8i | − | 0.494033i | ||||||
\(861\) | 5.34286e8 | − | 5.91037e7i | 0.837075 | − | 0.0925988i | ||||
\(862\) | 2.05453e9 | 3.20767 | ||||||||
\(863\) | −4.51752e8 | − | 7.82458e8i | −0.702859 | − | 1.21739i | −0.967459 | − | 0.253029i | \(-0.918573\pi\) |
0.264600 | − | 0.964358i | \(-0.414760\pi\) | |||||||
\(864\) | 4.69572e8 | + | 2.71108e8i | 0.728050 | + | 0.420340i | ||||
\(865\) | 1.21676e8 | − | 2.10749e8i | 0.188000 | − | 0.325625i | ||||
\(866\) | 1.30279e9 | − | 7.52165e8i | 2.00595 | − | 1.15813i | ||||
\(867\) | 3.74693e8i | 0.574934i | ||||||||
\(868\) | −1.14061e9 | − | 5.00395e8i | −1.74412 | − | 0.765162i | ||||
\(869\) | −6.53980e6 | −0.00996564 | ||||||||
\(870\) | −7.62210e7 | − | 1.32019e8i | −0.115749 | − | 0.200483i | ||||
\(871\) | −1.15904e8 | − | 6.69172e7i | −0.175406 | − | 0.101271i | ||||
\(872\) | −6.75937e8 | + | 1.17076e9i | −1.01943 | + | 1.76570i | ||||
\(873\) | 2.25743e8 | − | 1.30333e8i | 0.339290 | − | 0.195889i | ||||
\(874\) | 3.93201e6i | 0.00588953i | ||||||||
\(875\) | 2.18360e8 | − | 1.60474e8i | 0.325948 | − | 0.239542i | ||||
\(876\) | 1.54553e9 | 2.29914 | ||||||||
\(877\) | −8.98625e7 | − | 1.55646e8i | −0.133223 | − | 0.230749i | 0.791694 | − | 0.610918i | \(-0.209199\pi\) |
−0.924917 | + | 0.380168i | \(0.875866\pi\) | |||||||
\(878\) | 1.31306e9 | + | 7.58097e8i | 1.94000 | + | 1.12006i | ||||
\(879\) | −9.09905e7 | + | 1.57600e8i | −0.133977 | + | 0.232054i | ||||
\(880\) | 2.31047e8 | − | 1.33395e8i | 0.339041 | − | 0.195746i | ||||
\(881\) | 1.07737e9i | 1.57556i | 0.615954 | + | 0.787782i | \(0.288771\pi\) | ||||
−0.615954 | + | 0.787782i | \(0.711229\pi\) | |||||||
\(882\) | 3.01929e8 | + | 3.28058e8i | 0.440047 | + | 0.478128i | ||||
\(883\) | −1.25270e9 | −1.81955 | −0.909775 | − | 0.415102i | \(-0.863746\pi\) | ||||
−0.909775 | + | 0.415102i | \(0.863746\pi\) | |||||||
\(884\) | −9.27654e7 | − | 1.60674e8i | −0.134286 | − | 0.232589i | ||||
\(885\) | −3.51115e7 | − | 2.02717e7i | −0.0506547 | − | 0.0292455i | ||||
\(886\) | 1.29751e9 | − | 2.24735e9i | 1.86556 | − | 3.23124i | ||||
\(887\) | 3.29604e8 | − | 1.90297e8i | 0.472304 | − | 0.272685i | −0.244900 | − | 0.969548i | \(-0.578755\pi\) |
0.717204 | + | 0.696864i | \(0.245422\pi\) | |||||||
\(888\) | − | 4.86725e8i | − | 0.695096i | ||||||
\(889\) | 2.16126e8 | + | 2.94085e8i | 0.307611 | + | 0.418570i | ||||
\(890\) | 7.67311e7 | 0.108843 | ||||||||
\(891\) | −1.84214e7 | − | 3.19067e7i | −0.0260429 | − | 0.0451075i | ||||
\(892\) | −2.59807e9 | − | 1.49999e9i | −3.66063 | − | 2.11346i | ||||
\(893\) | −1.97613e8 | + | 3.42275e8i | −0.277498 | + | 0.480641i | ||||
\(894\) | −6.55033e8 | + | 3.78183e8i | −0.916749 | + | 0.529285i | ||||
\(895\) | − | 7.76969e7i | − | 0.108376i | ||||||
\(896\) | −1.25840e9 | + | 2.86842e9i | −1.74943 | + | 3.98767i | ||||
\(897\) | 2.13342e6 | 0.00295596 | ||||||||
\(898\) | 8.10714e8 | + | 1.40420e9i | 1.11954 | + | 1.93910i | ||||
\(899\) | 4.25944e8 | + | 2.45919e8i | 0.586237 | + | 0.338464i | ||||
\(900\) | 3.25697e8 | − | 5.64123e8i | 0.446772 | − | 0.773831i | ||||
\(901\) | −2.73105e7 | + | 1.57677e7i | −0.0373383 | + | 0.0215573i | ||||
\(902\) | − | 9.78254e8i | − | 1.33301i | ||||||
\(903\) | −3.99024e7 | − | 3.60710e8i | −0.0541920 | − | 0.489885i | ||||
\(904\) | −4.26291e9 | −5.77033 | ||||||||
\(905\) | 1.13314e8 | + | 1.96266e8i | 0.152876 | + | 0.264789i | ||||
\(906\) | 3.66169e8 | + | 2.11408e8i | 0.492376 | + | 0.284274i | ||||
\(907\) | −3.32531e8 | + | 5.75961e8i | −0.445667 | + | 0.771918i | −0.998098 | − | 0.0616405i | \(-0.980367\pi\) |
0.552431 | + | 0.833558i | \(0.313700\pi\) | |||||||
\(908\) | −2.94292e9 | + | 1.69910e9i | −3.93117 | + | 2.26966i | ||||
\(909\) | − | 1.29410e8i | − | 0.172297i | ||||||
\(910\) | −4.47380e8 | + | 4.94900e7i | −0.593680 | + | 0.0656740i | ||||
\(911\) | −9.53125e8 | −1.26065 | −0.630325 | − | 0.776331i | \(-0.717078\pi\) | ||||
−0.630325 | + | 0.776331i | \(0.717078\pi\) | |||||||
\(912\) | −7.74153e8 | − | 1.34087e9i | −1.02057 | − | 1.76768i | ||||
\(913\) | 3.85155e8 | + | 2.22369e8i | 0.506085 | + | 0.292188i | ||||
\(914\) | 5.52846e8 | − | 9.57557e8i | 0.724045 | − | 1.25408i | ||||
\(915\) | 8.09794e7 | − | 4.67535e7i | 0.105709 | − | 0.0610310i | ||||
\(916\) | − | 7.62997e8i | − | 0.992742i | ||||||
\(917\) | 2.04942e8 | + | 8.99099e7i | 0.265780 | + | 0.116600i | ||||
\(918\) | −1.87756e7 | −0.0242698 | ||||||||
\(919\) | 6.24861e8 | + | 1.08229e9i | 0.805076 | + | 1.39443i | 0.916240 | + | 0.400630i | \(0.131209\pi\) |
−0.111164 | + | 0.993802i | \(0.535458\pi\) | |||||||
\(920\) | 1.68900e6 | + | 975146.i | 0.00216904 | + | 0.00125229i | ||||
\(921\) | 2.49566e8 | − | 4.32260e8i | 0.319452 | − | 0.553307i | ||||
\(922\) | −3.98041e8 | + | 2.29809e8i | −0.507850 | + | 0.293207i | ||||
\(923\) | − | 1.30408e9i | − | 1.65844i | ||||||
\(924\) | 4.81767e8 | − | 3.54055e8i | 0.610690 | − | 0.448801i | ||||
\(925\) | −2.59921e8 | −0.328410 | ||||||||
\(926\) | 5.98252e8 | + | 1.03620e9i | 0.753444 | + | 1.30500i | ||||
\(927\) | 2.19831e8 | + | 1.26919e8i | 0.275962 | + | 0.159327i | ||||
\(928\) | 1.73725e9 | − | 3.00901e9i | 2.17380 | − | 3.76512i | ||||
\(929\) | −9.03228e8 | + | 5.21479e8i | −1.12655 | + | 0.650414i | −0.943065 | − | 0.332609i | \(-0.892071\pi\) |
−0.183485 | + | 0.983023i | \(0.558738\pi\) | |||||||
\(930\) | − | 1.27252e8i | − | 0.158204i | ||||||
\(931\) | −1.54304e8 | − | 6.88903e8i | −0.191217 | − | 0.853707i | ||||
\(932\) | 2.18274e9 | 2.69622 | ||||||||
\(933\) | −1.89077e7 | − | 3.27491e7i | −0.0232806 | − | 0.0403232i | ||||
\(934\) | 2.64390e9 | + | 1.52646e9i | 3.24493 | + | 1.87346i | ||||
\(935\) | −2.56139e6 | + | 4.43646e6i | −0.00313358 | + | 0.00542752i | ||||
\(936\) | −1.23166e9 | + | 7.11101e8i | −1.50198 | + | 0.867169i | ||||
\(937\) | − | 4.82808e8i | − | 0.586889i | −0.955976 | − | 0.293444i | \(-0.905198\pi\) | ||
0.955976 | − | 0.293444i | \(-0.0948015\pi\) | |||||||
\(938\) | −1.30156e8 | − | 1.77105e8i | −0.157709 | − | 0.214597i | ||||
\(939\) | −4.37597e8 | −0.528540 | ||||||||
\(940\) | 1.52463e8 | + | 2.64074e8i | 0.183561 | + | 0.317938i | ||||
\(941\) | −4.90467e8 | − | 2.83172e8i | −0.588629 | − | 0.339845i | 0.175926 | − | 0.984403i | \(-0.443708\pi\) |
−0.764555 | + | 0.644558i | \(0.777041\pi\) | |||||||
\(942\) | 1.03199e8 | − | 1.78745e8i | 0.123458 | − | 0.213836i | ||||
\(943\) | 3.65821e6 | − | 2.11207e6i | 0.00436248 | − | 0.00251868i | ||||
\(944\) | − | 1.66646e9i | − | 1.98097i | ||||||
\(945\) | −1.34845e7 | + | 3.07367e7i | −0.0159786 | + | 0.0364218i | ||||
\(946\) | −6.60443e8 | −0.780121 | ||||||||
\(947\) | 1.09258e7 | + | 1.89240e7i | 0.0128648 | + | 0.0222824i | 0.872386 | − | 0.488817i | \(-0.162572\pi\) |
−0.859521 | + | 0.511100i | \(0.829238\pi\) | |||||||
\(948\) | 2.53590e7 | + | 1.46410e7i | 0.0297651 | + | 0.0171849i | ||||
\(949\) | −9.00998e8 | + | 1.56057e9i | −1.05421 | + | 1.82594i | ||||
\(950\) | −1.21224e9 | + | 6.99887e8i | −1.41390 | + | 0.816313i | ||||
\(951\) | 1.19753e8i | 0.139234i | ||||||||
\(952\) | −2.15371e7 | − | 1.94691e8i | −0.0249618 | − | 0.225650i | ||||
\(953\) | 1.05425e9 | 1.21805 | 0.609023 | − | 0.793152i | \(-0.291562\pi\) | ||||
0.609023 | + | 0.793152i | \(0.291562\pi\) | |||||||
\(954\) | 1.88009e8 | + | 3.25642e8i | 0.216538 | + | 0.375055i | ||||
\(955\) | −3.22478e7 | − | 1.86183e7i | −0.0370246 | − | 0.0213762i | ||||
\(956\) | 9.30118e8 | − | 1.61101e9i | 1.06455 | − | 1.84385i | ||||
\(957\) | −2.04458e8 | + | 1.18044e8i | −0.233275 | + | 0.134681i | ||||
\(958\) | 5.01041e8i | 0.569871i | ||||||||
\(959\) | 1.56738e9 | − | 1.73387e8i | 1.77713 | − | 0.196589i | ||||
\(960\) | −4.72359e8 | −0.533898 | ||||||||
\(961\) | −2.38469e8 | − | 4.13040e8i | −0.268696 | − | 0.465395i | ||||
\(962\) | 7.64462e8 | + | 4.41362e8i | 0.858679 | + | 0.495758i | ||||
\(963\) | 4.35994e7 | − | 7.55165e7i | 0.0488205 | − | 0.0845596i | ||||
\(964\) | 1.74015e9 | − | 1.00467e9i | 1.94247 | − | 1.12149i | ||||
\(965\) | 4.39728e7i | 0.0489330i | ||||||||
\(966\) | 3.20841e6 | + | 1.40756e6i | 0.00355925 | + | 0.00156148i | ||||
\(967\) | −7.18604e8 | −0.794713 | −0.397356 | − | 0.917664i | \(-0.630072\pi\) | ||||
−0.397356 | + | 0.917664i | \(0.630072\pi\) | |||||||
\(968\) | 1.24184e9 | + | 2.15092e9i | 1.36911 | + | 2.37137i | ||||
\(969\) | 2.57468e7 | + | 1.48649e7i | 0.0282978 | + | 0.0163377i | ||||
\(970\) | −2.16082e8 | + | 3.74264e8i | −0.236757 | + | 0.410075i | ||||
\(971\) | 5.48150e8 | − | 3.16475e8i | 0.598745 | − | 0.345686i | −0.169803 | − | 0.985478i | \(-0.554313\pi\) |
0.768548 | + | 0.639792i | \(0.220980\pi\) | |||||||
\(972\) | 1.64964e8i | 0.179635i | ||||||||
\(973\) | −5.43881e8 | + | 3.99703e8i | −0.590425 | + | 0.433909i | ||||
\(974\) | −2.70183e9 | −2.92402 | ||||||||
\(975\) | 3.79742e8 | + | 6.57733e8i | 0.409709 | + | 0.709636i | ||||
\(976\) | 3.32851e9 | + | 1.92171e9i | 3.58014 | + | 2.06699i | ||||
\(977\) | −6.59658e8 | + | 1.14256e9i | −0.707351 | + | 1.22517i | 0.258485 | + | 0.966015i | \(0.416777\pi\) |
−0.965836 | + | 0.259153i | \(0.916557\pi\) | |||||||
\(978\) | 2.82797e8 | − | 1.63273e8i | 0.302314 | − | 0.174541i | ||||
\(979\) | − | 1.18834e8i | − | 0.126646i | ||||||
\(980\) | −5.19823e8 | − | 1.62653e8i | −0.552302 | − | 0.172816i | ||||
\(981\) | −1.82827e8 | −0.193657 | ||||||||
\(982\) | −1.77573e8 | − | 3.07566e8i | −0.187518 | − | 0.324790i | ||||
\(983\) | −6.44167e7 | − | 3.71910e7i | −0.0678169 | − | 0.0391541i | 0.465708 | − | 0.884938i | \(-0.345800\pi\) |
−0.533525 | + | 0.845784i | \(0.679133\pi\) | |||||||
\(984\) | −1.40797e9 | + | 2.43867e9i | −1.47777 | + | 2.55958i | ||||
\(985\) | 1.43768e8 | − | 8.30042e7i | 0.150436 | − | 0.0868544i | ||||
\(986\) | 1.20314e8i | 0.125512i | ||||||||
\(987\) | 2.08546e8 | + | 2.83772e8i | 0.216896 | + | 0.295133i | ||||
\(988\) | 3.50288e9 | 3.63207 | ||||||||
\(989\) | −1.42591e6 | − | 2.46975e6i | −0.00147402 | − | 0.00255308i | ||||
\(990\) | 5.28990e7 | + | 3.05412e7i | 0.0545182 | + | 0.0314761i | ||||
\(991\) | −7.98815e8 | + | 1.38359e9i | −0.820777 | + | 1.42163i | 0.0843276 | + | 0.996438i | \(0.473126\pi\) |
−0.905105 | + | 0.425189i | \(0.860208\pi\) | |||||||
\(992\) | 2.51180e9 | − | 1.45019e9i | 2.57306 | − | 1.48555i | ||||
\(993\) | − | 7.99384e8i | − | 0.816409i | ||||||
\(994\) | 8.60389e8 | − | 1.96118e9i | 0.876064 | − | 1.99691i | ||||
\(995\) | −1.72148e8 | −0.174756 | ||||||||
\(996\) | −9.95663e8 | − | 1.72454e9i | −1.00771 | − | 1.74540i | ||||
\(997\) | −1.13154e9 | − | 6.53297e8i | −1.14179 | − | 0.659212i | −0.194916 | − | 0.980820i | \(-0.562443\pi\) |
−0.946873 | + | 0.321608i | \(0.895777\pi\) | |||||||
\(998\) | 1.11598e9 | − | 1.93293e9i | 1.12270 | − | 1.94458i | ||||
\(999\) | 5.70057e7 | − | 3.29122e7i | 0.0571770 | − | 0.0330112i |
(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 | 21.7.f.a.10.1 | ✓ | 8 | |
3.2 | odd | 2 | 63.7.m.d.10.4 | 8 | |||
4.3 | odd | 2 | 336.7.bh.d.241.3 | 8 | |||
7.2 | even | 3 | 147.7.f.d.19.1 | 8 | |||
7.3 | odd | 6 | 147.7.d.b.97.7 | 8 | |||
7.4 | even | 3 | 147.7.d.b.97.8 | 8 | |||
7.5 | odd | 6 | inner | 21.7.f.a.19.1 | yes | 8 | |
7.6 | odd | 2 | 147.7.f.d.31.1 | 8 | |||
21.5 | even | 6 | 63.7.m.d.19.4 | 8 | |||
21.11 | odd | 6 | 441.7.d.c.244.1 | 8 | |||
21.17 | even | 6 | 441.7.d.c.244.2 | 8 | |||
28.19 | even | 6 | 336.7.bh.d.145.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.7.f.a.10.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
21.7.f.a.19.1 | yes | 8 | 7.5 | odd | 6 | inner | |
63.7.m.d.10.4 | 8 | 3.2 | odd | 2 | |||
63.7.m.d.19.4 | 8 | 21.5 | even | 6 | |||
147.7.d.b.97.7 | 8 | 7.3 | odd | 6 | |||
147.7.d.b.97.8 | 8 | 7.4 | even | 3 | |||
147.7.f.d.19.1 | 8 | 7.2 | even | 3 | |||
147.7.f.d.31.1 | 8 | 7.6 | odd | 2 | |||
336.7.bh.d.145.3 | 8 | 28.19 | even | 6 | |||
336.7.bh.d.241.3 | 8 | 4.3 | odd | 2 | |||
441.7.d.c.244.1 | 8 | 21.11 | odd | 6 | |||
441.7.d.c.244.2 | 8 | 21.17 | even | 6 |