Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,8,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
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("27.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(8.43439568807\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.4 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.8.e.a.7.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −15.5171 | − | 5.64776i | −1.37153 | − | 0.499196i | −0.451930 | − | 0.892053i | \(-0.649264\pi\) |
−0.919600 | + | 0.392857i | \(0.871487\pi\) | |||||||
\(3\) | −4.90318 | − | 46.5076i | −0.104846 | − | 0.994488i | ||||
\(4\) | 110.829 | + | 92.9968i | 0.865853 | + | 0.726537i | ||||
\(5\) | −48.1497 | + | 273.071i | −0.172266 | + | 0.976968i | 0.768987 | + | 0.639264i | \(0.220761\pi\) |
−0.941253 | + | 0.337703i | \(0.890350\pi\) | |||||||
\(6\) | −186.581 | + | 749.355i | −0.352645 | + | 1.41631i | ||||
\(7\) | −92.9707 | + | 78.0117i | −0.102448 | + | 0.0859640i | −0.692573 | − | 0.721348i | \(-0.743523\pi\) |
0.590125 | + | 0.807312i | \(0.299078\pi\) | |||||||
\(8\) | −137.696 | − | 238.496i | −0.0950835 | − | 0.164689i | ||||
\(9\) | −2138.92 | + | 456.070i | −0.978014 | + | 0.208537i | ||||
\(10\) | 2289.38 | − | 3965.33i | 0.723966 | − | 1.25395i | ||||
\(11\) | 264.033 | + | 1497.40i | 0.0598113 | + | 0.339207i | 0.999999 | − | 0.00145022i | \(-0.000461619\pi\) |
−0.940188 | + | 0.340657i | \(0.889351\pi\) | |||||||
\(12\) | 3781.64 | − | 5610.38i | 0.631751 | − | 0.937256i | ||||
\(13\) | 13567.2 | − | 4938.04i | 1.71272 | − | 0.623381i | 0.715554 | − | 0.698557i | \(-0.246174\pi\) |
0.997170 | + | 0.0751768i | \(0.0239521\pi\) | |||||||
\(14\) | 1883.23 | − | 685.439i | 0.183423 | − | 0.0667606i | ||||
\(15\) | 12936.0 | + | 900.415i | 0.989644 | + | 0.0688848i | ||||
\(16\) | −2426.07 | − | 13758.9i | −0.148076 | − | 0.839778i | ||||
\(17\) | −3936.89 | + | 6818.89i | −0.194349 | + | 0.336622i | −0.946687 | − | 0.322155i | \(-0.895593\pi\) |
0.752338 | + | 0.658777i | \(0.228926\pi\) | |||||||
\(18\) | 35765.6 | + | 5003.21i | 1.44548 | + | 0.202206i | ||||
\(19\) | −10039.8 | − | 17389.5i | −0.335806 | − | 0.581634i | 0.647833 | − | 0.761782i | \(-0.275675\pi\) |
−0.983639 | + | 0.180149i | \(0.942342\pi\) | |||||||
\(20\) | −30731.1 | + | 25786.4i | −0.858960 | + | 0.720753i | ||||
\(21\) | 4083.99 | + | 3941.34i | 0.0962315 | + | 0.0928703i | ||||
\(22\) | 4359.96 | − | 24726.5i | 0.0872977 | − | 0.495090i | ||||
\(23\) | 9573.92 | + | 8033.47i | 0.164075 | + | 0.137675i | 0.721128 | − | 0.692801i | \(-0.243624\pi\) |
−0.557053 | + | 0.830477i | \(0.688068\pi\) | |||||||
\(24\) | −10416.7 | + | 7573.28i | −0.153813 | + | 0.111827i | ||||
\(25\) | 1164.27 | + | 423.758i | 0.0149026 | + | 0.00542410i | ||||
\(26\) | −238412. | −2.66024 | ||||||||
\(27\) | 31698.2 | + | 97239.8i | 0.309929 | + | 0.950760i | ||||
\(28\) | −17558.7 | −0.151161 | ||||||||
\(29\) | 58464.4 | + | 21279.3i | 0.445142 | + | 0.162018i | 0.554859 | − | 0.831944i | \(-0.312772\pi\) |
−0.109717 | + | 0.993963i | \(0.534994\pi\) | |||||||
\(30\) | −195643. | − | 87031.0i | −1.32294 | − | 0.588504i | ||||
\(31\) | 172864. | + | 145050.i | 1.04217 | + | 0.874484i | 0.992248 | − | 0.124270i | \(-0.0396588\pi\) |
0.0499205 | + | 0.998753i | \(0.484103\pi\) | |||||||
\(32\) | −46182.7 | + | 261915.i | −0.249146 | + | 1.41298i | ||||
\(33\) | 68346.1 | − | 19621.6i | 0.331066 | − | 0.0950463i | ||||
\(34\) | 99600.5 | − | 83574.7i | 0.434595 | − | 0.364669i | ||||
\(35\) | −16826.2 | − | 29143.8i | −0.0663358 | − | 0.114897i | ||||
\(36\) | −279468. | − | 148367.i | −0.998327 | − | 0.530002i | ||||
\(37\) | 221531. | − | 383703.i | 0.719000 | − | 1.24534i | −0.242397 | − | 0.970177i | \(-0.577934\pi\) |
0.961396 | − | 0.275167i | \(-0.0887332\pi\) | |||||||
\(38\) | 57577.3 | + | 326537.i | 0.170219 | + | 0.965362i | ||||
\(39\) | −296179. | − | 606765.i | −0.799518 | − | 1.63793i | ||||
\(40\) | 71756.2 | − | 26117.1i | 0.177276 | − | 0.0645231i | ||||
\(41\) | 656063. | − | 238787.i | 1.48663 | − | 0.541088i | 0.534067 | − | 0.845442i | \(-0.320663\pi\) |
0.952559 | + | 0.304354i | \(0.0984407\pi\) | |||||||
\(42\) | −41111.9 | − | 84223.6i | −0.0856239 | − | 0.175413i | ||||
\(43\) | 150928. | + | 855954.i | 0.289487 | + | 1.64176i | 0.688801 | + | 0.724950i | \(0.258137\pi\) |
−0.399314 | + | 0.916814i | \(0.630752\pi\) | |||||||
\(44\) | −109991. | + | 190510.i | −0.194659 | + | 0.337159i | ||||
\(45\) | −21551.2 | − | 606035.i | −0.0352555 | − | 0.991412i | ||||
\(46\) | −103188. | − | 178727.i | −0.156307 | − | 0.270731i | ||||
\(47\) | −428043. | + | 359170.i | −0.601374 | + | 0.504613i | −0.891887 | − | 0.452258i | \(-0.850618\pi\) |
0.290513 | + | 0.956871i | \(0.406174\pi\) | |||||||
\(48\) | −627999. | + | 180293.i | −0.819624 | + | 0.235307i | ||||
\(49\) | −140449. | + | 796526.i | −0.170542 | + | 0.967194i | ||||
\(50\) | −15672.7 | − | 13151.0i | −0.0177317 | − | 0.0148786i | ||||
\(51\) | 336434. | + | 149661.i | 0.355143 | + | 0.157984i | ||||
\(52\) | 1.96286e6 | + | 714423.i | 1.93588 | + | 0.704602i | ||||
\(53\) | 973072. | 0.897799 | 0.448900 | − | 0.893582i | \(-0.351816\pi\) | ||||
0.448900 | + | 0.893582i | \(0.351816\pi\) | |||||||
\(54\) | 57322.3 | − | 1.68790e6i | 0.0495388 | − | 1.45871i | ||||
\(55\) | −421610. | −0.341697 | ||||||||
\(56\) | 31407.1 | + | 11431.3i | 0.0238985 | + | 0.00869833i | ||||
\(57\) | −759518. | + | 552193.i | −0.543220 | + | 0.394938i | ||||
\(58\) | −787017. | − | 660386.i | −0.529647 | − | 0.444426i | ||||
\(59\) | 152194. | − | 863134.i | 0.0964751 | − | 0.547137i | −0.897810 | − | 0.440382i | \(-0.854843\pi\) |
0.994285 | − | 0.106755i | \(-0.0340460\pi\) | |||||||
\(60\) | 1.34995e6 | + | 1.30279e6i | 0.806840 | + | 0.778658i | ||||
\(61\) | 1.55607e6 | − | 1.30570e6i | 0.877757 | − | 0.736525i | −0.0879598 | − | 0.996124i | \(-0.528035\pi\) |
0.965717 | + | 0.259599i | \(0.0835902\pi\) | |||||||
\(62\) | −1.86314e6 | − | 3.22705e6i | −0.992827 | − | 1.71963i | ||||
\(63\) | 163278. | − | 209262.i | 0.0822689 | − | 0.105438i | ||||
\(64\) | 1.30170e6 | − | 2.25461e6i | 0.620698 | − | 1.07508i | ||||
\(65\) | 695180. | + | 3.94256e6i | 0.313979 | + | 1.78066i | ||||
\(66\) | −1.17135e6 | − | 81532.6i | −0.501514 | − | 0.0349082i | ||||
\(67\) | −3.74812e6 | + | 1.36420e6i | −1.52248 | + | 0.554137i | −0.961766 | − | 0.273873i | \(-0.911695\pi\) |
−0.560713 | + | 0.828010i | \(0.689473\pi\) | |||||||
\(68\) | −1.07046e6 | + | 389614.i | −0.412846 | + | 0.150264i | ||||
\(69\) | 326675. | − | 484650.i | 0.119714 | − | 0.177605i | ||||
\(70\) | 96496.3 | + | 547258.i | 0.0336254 | + | 0.190699i | ||||
\(71\) | −1.04660e6 | + | 1.81276e6i | −0.347036 | + | 0.601084i | −0.985722 | − | 0.168384i | \(-0.946145\pi\) |
0.638685 | + | 0.769468i | \(0.279479\pi\) | |||||||
\(72\) | 403290. | + | 447324.i | 0.127337 | + | 0.141240i | ||||
\(73\) | −692089. | − | 1.19873e6i | −0.208225 | − | 0.360655i | 0.742931 | − | 0.669368i | \(-0.233435\pi\) |
−0.951155 | + | 0.308713i | \(0.900102\pi\) | |||||||
\(74\) | −5.60458e6 | + | 4.70280e6i | −1.60780 | + | 1.34911i | ||||
\(75\) | 13999.4 | − | 56225.0i | 0.00383172 | − | 0.0153892i | ||||
\(76\) | 504461. | − | 2.86094e6i | 0.131820 | − | 0.747586i | ||||
\(77\) | −141362. | − | 118617.i | −0.0352871 | − | 0.0296094i | ||||
\(78\) | 1.16898e6 | + | 1.10880e7i | 0.278917 | + | 2.64558i | ||||
\(79\) | 1.91605e6 | + | 697385.i | 0.437232 | + | 0.159139i | 0.551252 | − | 0.834339i | \(-0.314150\pi\) |
−0.114020 | + | 0.993478i | \(0.536373\pi\) | |||||||
\(80\) | 3.87397e6 | 0.845944 | ||||||||
\(81\) | 4.36697e6 | − | 1.95099e6i | 0.913025 | − | 0.407904i | ||||
\(82\) | −1.15288e7 | −2.30906 | ||||||||
\(83\) | 1.71393e6 | + | 623820.i | 0.329018 | + | 0.119753i | 0.501247 | − | 0.865304i | \(-0.332875\pi\) |
−0.172229 | + | 0.985057i | \(0.555097\pi\) | |||||||
\(84\) | 86093.5 | + | 816614.i | 0.0158487 | + | 0.150328i | ||||
\(85\) | −1.67248e6 | − | 1.40338e6i | −0.295389 | − | 0.247861i | ||||
\(86\) | 2.49226e6 | − | 1.41343e7i | 0.422522 | − | 2.39624i | ||||
\(87\) | 702988. | − | 2.82338e6i | 0.114454 | − | 0.459676i | ||||
\(88\) | 320768. | − | 269157.i | 0.0501767 | − | 0.0421033i | ||||
\(89\) | −3.31222e6 | − | 5.73693e6i | −0.498028 | − | 0.862610i | 0.501969 | − | 0.864885i | \(-0.332609\pi\) |
−0.999997 | + | 0.00227542i | \(0.999276\pi\) | |||||||
\(90\) | −3.08833e6 | + | 9.52562e6i | −0.446555 | + | 1.37735i | ||||
\(91\) | −876124. | + | 1.51749e6i | −0.121877 | + | 0.211097i | ||||
\(92\) | 313983. | + | 1.78069e6i | 0.0420387 | + | 0.238413i | ||||
\(93\) | 5.89835e6 | − | 8.75069e6i | 0.760396 | − | 1.12811i | ||||
\(94\) | 8.67048e6 | − | 3.15580e6i | 1.07670 | − | 0.391888i | ||||
\(95\) | 5.23198e6 | − | 1.90429e6i | 0.626085 | − | 0.227876i | ||||
\(96\) | 1.24075e7 | + | 863630.i | 1.43131 | + | 0.0996273i | ||||
\(97\) | 2.73025e6 | + | 1.54840e7i | 0.303739 | + | 1.72259i | 0.629381 | + | 0.777097i | \(0.283308\pi\) |
−0.325642 | + | 0.945493i | \(0.605580\pi\) | |||||||
\(98\) | 6.67795e6 | − | 1.15665e7i | 0.716724 | − | 1.24140i | ||||
\(99\) | −1.24767e6 | − | 3.08241e6i | −0.129233 | − | 0.319276i | ||||
\(100\) | 89626.5 | + | 155238.i | 0.00896265 | + | 0.0155238i | ||||
\(101\) | 9.71749e6 | − | 8.15394e6i | 0.938489 | − | 0.787486i | −0.0388327 | − | 0.999246i | \(-0.512364\pi\) |
0.977322 | + | 0.211760i | \(0.0679195\pi\) | |||||||
\(102\) | −4.37522e6 | − | 4.22240e6i | −0.408225 | − | 0.393966i | ||||
\(103\) | −823874. | + | 4.67242e6i | −0.0742900 | + | 0.421320i | 0.924868 | + | 0.380289i | \(0.124175\pi\) |
−0.999158 | + | 0.0410311i | \(0.986936\pi\) | |||||||
\(104\) | −3.04584e6 | − | 2.55576e6i | −0.265516 | − | 0.222794i | ||||
\(105\) | −1.27291e6 | + | 925444.i | −0.107309 | + | 0.0780167i | ||||
\(106\) | −1.50992e7 | − | 5.49568e6i | −1.23136 | − | 0.448178i | ||||
\(107\) | 1.21781e7 | 0.961029 | 0.480515 | − | 0.876987i | \(-0.340450\pi\) | ||||
0.480515 | + | 0.876987i | \(0.340450\pi\) | |||||||
\(108\) | −5.52989e6 | + | 1.37248e7i | −0.422409 | + | 1.04839i | ||||
\(109\) | −9.09360e6 | −0.672578 | −0.336289 | − | 0.941759i | \(-0.609172\pi\) | ||||
−0.336289 | + | 0.941759i | \(0.609172\pi\) | |||||||
\(110\) | 6.54216e6 | + | 2.38115e6i | 0.468648 | + | 0.170574i | ||||
\(111\) | −1.89313e7 | − | 8.42152e6i | −1.31387 | − | 0.584467i | ||||
\(112\) | 1.29891e6 | + | 1.08992e6i | 0.0873607 | + | 0.0733043i | ||||
\(113\) | −3.66560e6 | + | 2.07886e7i | −0.238985 | + | 1.35535i | 0.595072 | + | 0.803672i | \(0.297123\pi\) |
−0.834057 | + | 0.551678i | \(0.813988\pi\) | |||||||
\(114\) | 1.49042e7 | − | 4.27885e6i | 0.942194 | − | 0.270496i | ||||
\(115\) | −2.65469e6 | + | 2.22755e6i | −0.162769 | + | 0.136579i | ||||
\(116\) | 4.50066e6 | + | 7.79537e6i | 0.267715 | + | 0.463697i | ||||
\(117\) | −2.67670e7 | + | 1.67497e7i | −1.54507 | + | 0.966842i | ||||
\(118\) | −7.23638e6 | + | 1.25338e7i | −0.405447 | + | 0.702255i | ||||
\(119\) | −165938. | − | 941080.i | −0.00902675 | − | 0.0511932i | ||||
\(120\) | −1.56648e6 | − | 3.20915e6i | −0.0827542 | − | 0.169534i | ||||
\(121\) | 1.61394e7 | − | 5.87428e6i | 0.828209 | − | 0.301443i | ||||
\(122\) | −3.15199e7 | + | 1.14723e7i | −1.57154 | + | 0.571994i | ||||
\(123\) | −1.43222e7 | − | 2.93411e7i | −0.693973 | − | 1.42170i | ||||
\(124\) | 5.66919e6 | + | 3.21516e7i | 0.267021 | + | 1.51435i | ||||
\(125\) | −1.10032e7 | + | 1.90580e7i | −0.503886 | + | 0.872756i | ||||
\(126\) | −3.71546e6 | + | 2.32498e6i | −0.165469 | + | 0.103543i | ||||
\(127\) | −2.20656e6 | − | 3.82188e6i | −0.0955879 | − | 0.165563i | 0.814266 | − | 0.580492i | \(-0.197140\pi\) |
−0.909854 | + | 0.414929i | \(0.863806\pi\) | |||||||
\(128\) | −6.85412e6 | + | 5.75129e6i | −0.288880 | + | 0.242399i | ||||
\(129\) | 3.90684e7 | − | 1.12162e7i | 1.60236 | − | 0.460025i | ||||
\(130\) | 1.14795e7 | − | 6.51033e7i | 0.458269 | − | 2.59897i | ||||
\(131\) | −3.46368e7 | − | 2.90637e7i | −1.34613 | − | 1.12954i | −0.980004 | − | 0.198975i | \(-0.936239\pi\) |
−0.366129 | − | 0.930564i | \(-0.619317\pi\) | |||||||
\(132\) | 9.39949e6 | + | 4.18132e6i | 0.355709 | + | 0.158236i | ||||
\(133\) | 2.29000e6 | + | 833491.i | 0.0844023 | + | 0.0307199i | ||||
\(134\) | 6.58646e7 | 2.36475 | ||||||||
\(135\) | −2.80796e7 | + | 3.97379e6i | −0.982252 | + | 0.139007i | ||||
\(136\) | 2.16837e6 | 0.0739174 | ||||||||
\(137\) | −3.97795e7 | − | 1.44785e7i | −1.32171 | − | 0.481064i | −0.417706 | − | 0.908582i | \(-0.637166\pi\) |
−0.904007 | + | 0.427518i | \(0.859388\pi\) | |||||||
\(138\) | −7.80623e6 | + | 5.67537e6i | −0.252851 | + | 0.183831i | ||||
\(139\) | 4.95527e6 | + | 4.15796e6i | 0.156500 | + | 0.131319i | 0.717675 | − | 0.696378i | \(-0.245206\pi\) |
−0.561175 | + | 0.827697i | \(0.689651\pi\) | |||||||
\(140\) | 845447. | − | 4.79477e6i | 0.0260399 | − | 0.147679i | ||||
\(141\) | 1.88029e7 | + | 1.81462e7i | 0.564883 | + | 0.545153i | ||||
\(142\) | 2.64781e7 | − | 2.22178e7i | 0.776030 | − | 0.651166i | ||||
\(143\) | 1.09764e7 | + | 1.90117e7i | 0.313895 | + | 0.543683i | ||||
\(144\) | 1.14642e7 | + | 2.83227e7i | 0.319945 | + | 0.790436i | ||||
\(145\) | −8.62580e6 | + | 1.49403e7i | −0.234969 | + | 0.406979i | ||||
\(146\) | 3.96905e6 | + | 2.25096e7i | 0.105548 | + | 0.598595i | ||||
\(147\) | 3.77332e7 | + | 2.62644e6i | 0.979744 | + | 0.0681957i | ||||
\(148\) | 6.02353e7 | − | 2.19239e7i | 1.52734 | − | 0.555905i | ||||
\(149\) | −5.57525e7 | + | 2.02922e7i | −1.38074 | + | 0.502548i | −0.922403 | − | 0.386230i | \(-0.873777\pi\) |
−0.458338 | + | 0.888778i | \(0.651555\pi\) | |||||||
\(150\) | −534775. | + | 793383.i | −0.0129375 | + | 0.0191939i | ||||
\(151\) | 3.61969e6 | + | 2.05283e7i | 0.0855564 | + | 0.485215i | 0.997235 | + | 0.0743108i | \(0.0236757\pi\) |
−0.911679 | + | 0.410904i | \(0.865213\pi\) | |||||||
\(152\) | −2.76488e6 | + | 4.78892e6i | −0.0638593 | + | 0.110608i | ||||
\(153\) | 5.31078e6 | − | 1.63805e7i | 0.119878 | − | 0.369750i | ||||
\(154\) | 1.52361e6 | + | 2.63897e6i | 0.0336164 | + | 0.0582254i | ||||
\(155\) | −4.79322e7 | + | 4.02199e7i | −1.03387 | + | 0.867522i | ||||
\(156\) | 2.36019e7 | − | 9.47909e7i | 0.497749 | − | 1.99908i | ||||
\(157\) | 2.37786e6 | − | 1.34855e7i | 0.0490386 | − | 0.278112i | −0.950422 | − | 0.310964i | \(-0.899348\pi\) |
0.999460 | + | 0.0328526i | \(0.0104592\pi\) | |||||||
\(158\) | −2.57928e7 | − | 2.16428e7i | −0.520235 | − | 0.436529i | ||||
\(159\) | −4.77115e6 | − | 4.52553e7i | −0.0941310 | − | 0.892851i | ||||
\(160\) | −6.92976e7 | − | 2.52223e7i | −1.33751 | − | 0.486815i | ||||
\(161\) | −1.51680e6 | −0.0286443 | ||||||||
\(162\) | −7.87814e7 | + | 5.61016e6i | −1.45586 | + | 0.103675i | ||||
\(163\) | 4.55609e7 | 0.824017 | 0.412008 | − | 0.911180i | \(-0.364827\pi\) | ||||
0.412008 | + | 0.911180i | \(0.364827\pi\) | |||||||
\(164\) | 9.49174e7 | + | 3.45471e7i | 1.68032 | + | 0.611587i | ||||
\(165\) | 2.06723e6 | + | 1.96081e7i | 0.0358257 | + | 0.339814i | ||||
\(166\) | −2.30720e7 | − | 1.93597e7i | −0.391478 | − | 0.328489i | ||||
\(167\) | 793110. | − | 4.49795e6i | 0.0131773 | − | 0.0747321i | −0.977510 | − | 0.210889i | \(-0.932364\pi\) |
0.990687 | + | 0.136157i | \(0.0434752\pi\) | |||||||
\(168\) | 377646. | − | 1.51672e6i | 0.00614472 | − | 0.0246787i | ||||
\(169\) | 1.11616e8 | − | 9.36566e7i | 1.77878 | − | 1.49257i | ||||
\(170\) | 1.80261e7 | + | 3.12221e7i | 0.281404 | + | 0.487406i | ||||
\(171\) | 2.94052e7 | + | 3.26159e7i | 0.449716 | + | 0.498818i | ||||
\(172\) | −6.28738e7 | + | 1.08901e8i | −0.942150 | + | 1.63185i | ||||
\(173\) | 6.00575e6 | + | 3.40603e7i | 0.0881873 | + | 0.500135i | 0.996623 | + | 0.0821109i | \(0.0261662\pi\) |
−0.908436 | + | 0.418024i | \(0.862723\pi\) | |||||||
\(174\) | −2.68541e7 | + | 3.98403e7i | −0.386445 | + | 0.573324i | ||||
\(175\) | −141301. | + | 51429.2i | −0.00199302 | + | 0.000725399i | ||||
\(176\) | 1.99621e7 | − | 7.26561e6i | 0.276002 | − | 0.100456i | ||||
\(177\) | −4.08885e7 | − | 2.84607e6i | −0.554237 | − | 0.0385780i | ||||
\(178\) | 1.89952e7 | + | 1.07727e8i | 0.252449 | + | 1.43171i | ||||
\(179\) | 6.43185e7 | − | 1.11403e8i | 0.838205 | − | 1.45181i | −0.0531893 | − | 0.998584i | \(-0.516939\pi\) |
0.891394 | − | 0.453229i | \(-0.149728\pi\) | |||||||
\(180\) | 5.39708e7 | − | 6.91706e7i | 0.689772 | − | 0.884032i | ||||
\(181\) | 3.56974e6 | + | 6.18297e6i | 0.0447468 | + | 0.0775037i | 0.887531 | − | 0.460747i | \(-0.152419\pi\) |
−0.842785 | + | 0.538251i | \(0.819085\pi\) | |||||||
\(182\) | 2.21653e7 | − | 1.85989e7i | 0.272536 | − | 0.228685i | ||||
\(183\) | −6.83545e7 | − | 6.59670e7i | −0.824496 | − | 0.795697i | ||||
\(184\) | 597663. | − | 3.38951e6i | 0.00707284 | − | 0.0401121i | ||||
\(185\) | 9.41115e7 | + | 7.89689e7i | 1.09280 | + | 0.916970i | ||||
\(186\) | −1.40947e8 | + | 1.02473e8i | −1.60606 | + | 1.16765i | ||||
\(187\) | −1.12501e7 | − | 4.09470e6i | −0.125809 | − | 0.0457906i | ||||
\(188\) | −8.08413e7 | −0.887321 | ||||||||
\(189\) | −1.05329e7 | − | 6.56762e6i | −0.113483 | − | 0.0707606i | ||||
\(190\) | −9.19401e7 | −0.972450 | ||||||||
\(191\) | −1.07056e8 | − | 3.89651e7i | −1.11171 | − | 0.404631i | −0.280093 | − | 0.959973i | \(-0.590365\pi\) |
−0.831622 | + | 0.555342i | \(0.812587\pi\) | |||||||
\(192\) | −1.11239e8 | − | 4.94841e7i | −1.13423 | − | 0.504558i | ||||
\(193\) | 5.07432e7 | + | 4.25786e7i | 0.508075 | + | 0.426325i | 0.860451 | − | 0.509533i | \(-0.170182\pi\) |
−0.352376 | + | 0.935858i | \(0.614626\pi\) | |||||||
\(194\) | 4.50844e7 | − | 2.55686e8i | 0.443323 | − | 2.51421i | ||||
\(195\) | 1.79951e8 | − | 5.16623e7i | 1.73793 | − | 0.498944i | ||||
\(196\) | −8.96402e7 | + | 7.52171e7i | −0.850367 | + | 0.713543i | ||||
\(197\) | 46465.8 | + | 80481.2i | 0.000433014 | + | 0.000750002i | 0.866242 | − | 0.499625i | \(-0.166529\pi\) |
−0.865809 | + | 0.500375i | \(0.833196\pi\) | |||||||
\(198\) | 1.95146e6 | + | 5.48765e7i | 0.0178661 | + | 0.502410i | ||||
\(199\) | 4.97863e7 | − | 8.62324e7i | 0.447841 | − | 0.775684i | −0.550404 | − | 0.834898i | \(-0.685526\pi\) |
0.998245 | + | 0.0592146i | \(0.0188596\pi\) | |||||||
\(200\) | −59249.7 | − | 336022.i | −0.000523698 | − | 0.00297004i | ||||
\(201\) | 8.18235e7 | + | 1.67627e8i | 0.710709 | + | 1.45599i | ||||
\(202\) | −1.96839e8 | + | 7.16434e7i | −1.68028 | + | 0.611570i | ||||
\(203\) | −7.09552e6 | + | 2.58256e6i | −0.0595316 | + | 0.0216677i | ||||
\(204\) | 2.33687e7 | + | 4.78740e7i | 0.192721 | + | 0.394816i | ||||
\(205\) | 3.36166e7 | + | 1.90649e8i | 0.272530 | + | 1.54560i | ||||
\(206\) | 3.91728e7 | − | 6.78494e7i | 0.312212 | − | 0.540767i | ||||
\(207\) | −2.41417e7 | − | 1.28166e7i | −0.189178 | − | 0.100433i | ||||
\(208\) | −1.00857e8 | − | 1.74690e8i | −0.777114 | − | 1.34600i | ||||
\(209\) | 2.33883e7 | − | 1.96251e7i | 0.177209 | − | 0.148696i | ||||
\(210\) | 2.49785e7 | − | 7.17112e6i | 0.186123 | − | 0.0534342i | ||||
\(211\) | −3.76523e7 | + | 2.13537e8i | −0.275933 | + | 1.56489i | 0.460051 | + | 0.887892i | \(0.347831\pi\) |
−0.735984 | + | 0.676999i | \(0.763280\pi\) | |||||||
\(212\) | 1.07845e8 | + | 9.04925e7i | 0.777363 | + | 0.652285i | ||||
\(213\) | 8.94387e7 | + | 3.97864e7i | 0.634157 | + | 0.282102i | ||||
\(214\) | −1.88969e8 | − | 6.87790e7i | −1.31808 | − | 0.479742i | ||||
\(215\) | −2.41003e8 | −1.65382 | ||||||||
\(216\) | 1.88266e7 | − | 2.09494e7i | 0.127111 | − | 0.141444i | ||||
\(217\) | −2.73869e7 | −0.181942 | ||||||||
\(218\) | 1.41106e8 | + | 5.13584e7i | 0.922461 | + | 0.335749i | ||||
\(219\) | −5.23568e7 | + | 3.80650e7i | −0.336836 | + | 0.244890i | ||||
\(220\) | −4.67267e7 | − | 3.92084e7i | −0.295860 | − | 0.248256i | ||||
\(221\) | −1.97404e7 | + | 1.11954e8i | −0.123022 | + | 0.697694i | ||||
\(222\) | 2.46196e8 | + | 2.37597e8i | 1.51024 | + | 1.45749i | ||||
\(223\) | 2.20203e8 | − | 1.84772e8i | 1.32971 | − | 1.11576i | 0.345560 | − | 0.938397i | \(-0.387689\pi\) |
0.984146 | − | 0.177359i | \(-0.0567554\pi\) | |||||||
\(224\) | −1.61388e7 | − | 2.79532e7i | −0.0959407 | − | 0.166174i | ||||
\(225\) | −2.68353e6 | − | 375396.i | −0.0157061 | − | 0.00219711i | ||||
\(226\) | 1.74289e8 | − | 3.01877e8i | 1.00436 | − | 1.73960i | ||||
\(227\) | −2.12288e7 | − | 1.20394e8i | −0.120458 | − | 0.683150i | −0.983902 | − | 0.178706i | \(-0.942809\pi\) |
0.863445 | − | 0.504444i | \(-0.168302\pi\) | |||||||
\(228\) | −1.35529e8 | − | 9.43357e6i | −0.757286 | − | 0.0527113i | ||||
\(229\) | 1.05065e7 | − | 3.82406e6i | 0.0578142 | − | 0.0210426i | −0.312951 | − | 0.949769i | \(-0.601318\pi\) |
0.370765 | + | 0.928727i | \(0.379095\pi\) | |||||||
\(230\) | 5.37737e7 | − | 1.95720e7i | 0.291422 | − | 0.106069i | ||||
\(231\) | −4.82347e6 | + | 7.15603e6i | −0.0257465 | + | 0.0381971i | ||||
\(232\) | −2.97527e6 | − | 1.68736e7i | −0.0156429 | − | 0.0887155i | ||||
\(233\) | 2.92498e7 | − | 5.06621e7i | 0.151488 | − | 0.262384i | −0.780287 | − | 0.625422i | \(-0.784927\pi\) |
0.931775 | + | 0.363037i | \(0.118260\pi\) | |||||||
\(234\) | 5.09943e8 | − | 1.08733e8i | 2.60176 | − | 0.554759i | ||||
\(235\) | −7.74688e7 | − | 1.34180e8i | −0.389394 | − | 0.674450i | ||||
\(236\) | 9.71362e7 | − | 8.15070e7i | 0.481049 | − | 0.403648i | ||||
\(237\) | 2.30390e7 | − | 9.25303e7i | 0.112420 | − | 0.451507i | ||||
\(238\) | −2.74012e6 | + | 1.55400e7i | −0.0131750 | + | 0.0747191i | ||||
\(239\) | 2.20228e8 | + | 1.84793e8i | 1.04347 | + | 0.875575i | 0.992392 | − | 0.123120i | \(-0.0392901\pi\) |
0.0510773 | + | 0.998695i | \(0.483734\pi\) | |||||||
\(240\) | −1.89948e7 | − | 1.80169e8i | −0.0886942 | − | 0.841282i | ||||
\(241\) | 4.93808e7 | + | 1.79731e7i | 0.227247 | + | 0.0827112i | 0.453134 | − | 0.891442i | \(-0.350306\pi\) |
−0.225887 | + | 0.974153i | \(0.572528\pi\) | |||||||
\(242\) | −2.83614e8 | −1.28639 | ||||||||
\(243\) | −1.12148e8 | − | 1.93531e8i | −0.501384 | − | 0.865225i | ||||
\(244\) | 2.93883e8 | 1.29512 | ||||||||
\(245\) | −2.10745e8 | − | 7.67050e7i | −0.915539 | − | 0.333229i | ||||
\(246\) | 5.65278e7 | + | 5.36177e8i | 0.242097 | + | 2.29633i | ||||
\(247\) | −2.22082e8 | − | 1.86349e8i | −0.937723 | − | 0.786843i | ||||
\(248\) | 1.07912e7 | − | 6.12000e7i | 0.0449251 | − | 0.254783i | ||||
\(249\) | 2.06087e7 | − | 8.27695e7i | 0.0845964 | − | 0.339760i | ||||
\(250\) | 2.78372e8 | − | 2.33582e8i | 1.12677 | − | 0.945473i | ||||
\(251\) | −8.50969e7 | − | 1.47392e8i | −0.339669 | − | 0.588323i | 0.644702 | − | 0.764434i | \(-0.276982\pi\) |
−0.984370 | + | 0.176111i | \(0.943648\pi\) | |||||||
\(252\) | 3.75566e7 | − | 8.00801e6i | 0.147838 | − | 0.0315227i | ||||
\(253\) | −9.50153e6 | + | 1.64571e7i | −0.0368869 | + | 0.0638899i | ||||
\(254\) | 1.26544e7 | + | 7.17665e7i | 0.0484532 | + | 0.274792i | ||||
\(255\) | −5.70672e7 | + | 8.46640e7i | −0.215524 | + | 0.319748i | ||||
\(256\) | −1.74300e8 | + | 6.34400e7i | −0.649318 | + | 0.236332i | ||||
\(257\) | 5.70098e7 | − | 2.07499e7i | 0.209500 | − | 0.0762517i | −0.235139 | − | 0.971962i | \(-0.575554\pi\) |
0.444638 | + | 0.895710i | \(0.353332\pi\) | |||||||
\(258\) | −6.69574e8 | − | 4.66061e7i | −2.42733 | − | 0.168956i | ||||
\(259\) | 9.33743e6 | + | 5.29552e7i | 0.0333948 | + | 0.189391i | ||||
\(260\) | −2.89599e8 | + | 5.01601e8i | −1.02186 | + | 1.76991i | ||||
\(261\) | −1.34755e8 | − | 1.88508e7i | −0.469142 | − | 0.0656278i | ||||
\(262\) | 3.73317e8 | + | 6.46604e8i | 1.28240 | + | 2.22118i | ||||
\(263\) | −2.20466e8 | + | 1.84993e8i | −0.747304 | + | 0.627062i | −0.934788 | − | 0.355205i | \(-0.884411\pi\) |
0.187485 | + | 0.982268i | \(0.439967\pi\) | |||||||
\(264\) | −1.40906e7 | − | 1.35984e7i | −0.0471320 | − | 0.0454858i | ||||
\(265\) | −4.68531e7 | + | 2.65717e8i | −0.154660 | + | 0.877121i | ||||
\(266\) | −3.08267e7 | − | 2.58667e7i | −0.100425 | − | 0.0842666i | ||||
\(267\) | −2.50571e8 | + | 1.82173e8i | −0.805639 | + | 0.585725i | ||||
\(268\) | −5.42268e8 | − | 1.97369e8i | −1.72085 | − | 0.626336i | ||||
\(269\) | 4.56332e8 | 1.42938 | 0.714691 | − | 0.699440i | \(-0.246567\pi\) | ||||
0.714691 | + | 0.699440i | \(0.246567\pi\) | |||||||
\(270\) | 4.58157e8 | + | 9.69251e7i | 1.41658 | + | 0.299684i | ||||
\(271\) | −4.32212e8 | −1.31918 | −0.659591 | − | 0.751625i | \(-0.729270\pi\) | ||||
−0.659591 | + | 0.751625i | \(0.729270\pi\) | |||||||
\(272\) | 1.03372e8 | + | 3.76242e7i | 0.311466 | + | 0.113364i | ||||
\(273\) | 7.48707e7 | + | 3.33059e7i | 0.222712 | + | 0.0990723i | ||||
\(274\) | 5.35490e8 | + | 4.49330e8i | 1.57262 | + | 1.31959i | ||||
\(275\) | −327133. | + | 1.85526e6i | −0.000948548 | + | 0.00537948i | ||||
\(276\) | 8.12760e7 | − | 2.33336e7i | 0.232692 | − | 0.0668037i | ||||
\(277\) | −8.72657e7 | + | 7.32246e7i | −0.246697 | + | 0.207004i | −0.757749 | − | 0.652547i | \(-0.773701\pi\) |
0.511051 | + | 0.859550i | \(0.329256\pi\) | |||||||
\(278\) | −5.34082e7 | − | 9.25057e7i | −0.149091 | − | 0.258233i | ||||
\(279\) | −4.35894e8 | − | 2.31412e8i | −1.20162 | − | 0.637927i | ||||
\(280\) | −4.63379e6 | + | 8.02595e6i | −0.0126149 | + | 0.0218496i | ||||
\(281\) | −3.71976e7 | − | 2.10958e8i | −0.100010 | − | 0.567184i | −0.993097 | − | 0.117299i | \(-0.962576\pi\) |
0.893087 | − | 0.449884i | \(-0.148535\pi\) | |||||||
\(282\) | −1.89282e8 | − | 3.87770e8i | −0.502616 | − | 1.02968i | ||||
\(283\) | −2.10936e8 | + | 7.67744e7i | −0.553220 | + | 0.201356i | −0.603477 | − | 0.797381i | \(-0.706218\pi\) |
0.0502563 | + | 0.998736i | \(0.483996\pi\) | |||||||
\(284\) | −2.84574e8 | + | 1.03576e8i | −0.737193 | + | 0.268316i | ||||
\(285\) | −1.14217e8 | − | 2.33990e8i | −0.292263 | − | 0.598743i | ||||
\(286\) | −6.29485e7 | − | 3.56999e8i | −0.159113 | − | 0.902372i | ||||
\(287\) | −4.23664e7 | + | 7.33808e7i | −0.105788 | + | 0.183230i | ||||
\(288\) | −2.06707e7 | − | 5.81277e8i | −0.0509896 | − | 1.43387i | ||||
\(289\) | 1.74171e8 | + | 3.01673e8i | 0.424457 | + | 0.735181i | ||||
\(290\) | 2.18227e8 | − | 1.83114e8i | 0.525430 | − | 0.440888i | ||||
\(291\) | 7.06737e8 | − | 2.02898e8i | 1.68125 | − | 0.482672i | ||||
\(292\) | 3.47746e7 | − | 1.97217e8i | 0.0817377 | − | 0.463558i | ||||
\(293\) | 3.83216e8 | + | 3.21556e8i | 0.890034 | + | 0.746827i | 0.968217 | − | 0.250112i | \(-0.0804675\pi\) |
−0.0781832 | + | 0.996939i | \(0.524912\pi\) | |||||||
\(294\) | −5.70676e8 | − | 2.53863e8i | −1.30971 | − | 0.582617i | ||||
\(295\) | 2.28369e8 | + | 8.31194e7i | 0.517916 | + | 0.188506i | ||||
\(296\) | −1.22015e8 | −0.273460 | ||||||||
\(297\) | −1.37238e8 | + | 7.31396e7i | −0.303967 | + | 0.161996i | ||||
\(298\) | 9.79722e8 | 2.14460 | ||||||||
\(299\) | 1.69561e8 | + | 6.17150e7i | 0.366839 | + | 0.133519i | ||||
\(300\) | 6.78028e6 | − | 4.92947e6i | 0.0144985 | − | 0.0105409i | ||||
\(301\) | −8.08063e7 | − | 6.78046e7i | −0.170790 | − | 0.143310i | ||||
\(302\) | 5.97718e7 | − | 3.38983e8i | 0.124874 | − | 0.708196i | ||||
\(303\) | −4.26867e8 | − | 4.11957e8i | −0.881543 | − | 0.850751i | ||||
\(304\) | −2.14904e8 | + | 1.80325e8i | −0.438719 | + | 0.368129i | ||||
\(305\) | 2.81623e8 | + | 4.87786e8i | 0.568354 | + | 0.984418i | ||||
\(306\) | −1.74921e8 | + | 2.24184e8i | −0.348994 | + | 0.447281i | ||||
\(307\) | −4.85146e7 | + | 8.40298e7i | −0.0956948 | + | 0.165748i | −0.909898 | − | 0.414831i | \(-0.863841\pi\) |
0.814204 | + | 0.580579i | \(0.197174\pi\) | |||||||
\(308\) | −4.63608e6 | − | 2.62925e7i | −0.00904114 | − | 0.0512748i | ||||
\(309\) | 2.21343e8 | + | 1.54067e7i | 0.426787 | + | 0.0297067i | ||||
\(310\) | 9.70921e8 | − | 3.53387e8i | 1.85105 | − | 0.673727i | ||||
\(311\) | −4.45007e8 | + | 1.61969e8i | −0.838890 | + | 0.305331i | −0.725502 | − | 0.688220i | \(-0.758393\pi\) |
−0.113388 | + | 0.993551i | \(0.536170\pi\) | |||||||
\(312\) | −1.03928e8 | + | 1.54186e8i | −0.193728 | + | 0.287412i | ||||
\(313\) | −1.33337e8 | − | 7.56192e8i | −0.245779 | − | 1.39388i | −0.818675 | − | 0.574257i | \(-0.805291\pi\) |
0.572896 | − | 0.819628i | \(-0.305820\pi\) | |||||||
\(314\) | −1.13060e8 | + | 1.95826e8i | −0.206090 | + | 0.356958i | ||||
\(315\) | 4.92815e7 | + | 5.46623e7i | 0.0888376 | + | 0.0985374i | ||||
\(316\) | 1.47500e8 | + | 2.55477e8i | 0.262958 | + | 0.455457i | ||||
\(317\) | 5.64249e8 | − | 4.73461e8i | 0.994863 | − | 0.834789i | 0.00859847 | − | 0.999963i | \(-0.497263\pi\) |
0.986264 | + | 0.165174i | \(0.0528185\pi\) | |||||||
\(318\) | −1.81556e8 | + | 7.29176e8i | −0.316604 | + | 1.27156i | ||||
\(319\) | −1.64272e7 | + | 9.31633e7i | −0.0283332 | + | 0.160686i | ||||
\(320\) | 5.52990e8 | + | 4.64014e8i | 0.943393 | + | 0.791601i | ||||
\(321\) | −5.97115e7 | − | 5.66375e8i | −0.100760 | − | 0.955733i | ||||
\(322\) | 2.35363e7 | + | 8.56652e6i | 0.0392865 | + | 0.0142991i | ||||
\(323\) | 1.58103e8 | 0.261054 | ||||||||
\(324\) | 6.65424e8 | + | 1.89887e8i | 1.08690 | + | 0.310161i | ||||
\(325\) | 1.78883e7 | 0.0289053 | ||||||||
\(326\) | −7.06973e8 | − | 2.57317e8i | −1.13016 | − | 0.411346i | ||||
\(327\) | 4.45875e7 | + | 4.22922e8i | 0.0705174 | + | 0.668871i | ||||
\(328\) | −1.47287e8 | − | 1.23588e8i | −0.230465 | − | 0.193383i | ||||
\(329\) | 1.17759e7 | − | 6.67847e7i | 0.0182310 | − | 0.103393i | ||||
\(330\) | 7.86644e7 | − | 3.15936e8i | 0.120498 | − | 0.483949i | ||||
\(331\) | 1.61949e7 | − | 1.35892e7i | 0.0245460 | − | 0.0205966i | −0.630432 | − | 0.776244i | \(-0.717122\pi\) |
0.654978 | + | 0.755648i | \(0.272678\pi\) | |||||||
\(332\) | 1.31940e8 | + | 2.28527e8i | 0.197877 | + | 0.342732i | ||||
\(333\) | −2.98841e8 | + | 9.21743e8i | −0.443492 | + | 1.36790i | ||||
\(334\) | −3.77101e7 | + | 6.53158e7i | −0.0553790 | + | 0.0959192i | ||||
\(335\) | −1.92053e8 | − | 1.08919e9i | −0.279103 | − | 1.58287i | ||||
\(336\) | 4.43206e7 | − | 6.57533e7i | 0.0637409 | − | 0.0945649i | ||||
\(337\) | −3.62692e8 | + | 1.32009e8i | −0.516218 | + | 0.187888i | −0.586974 | − | 0.809606i | \(-0.699681\pi\) |
0.0707564 | + | 0.997494i | \(0.477459\pi\) | |||||||
\(338\) | −2.26090e9 | + | 8.22900e8i | −3.18473 | + | 1.15915i | ||||
\(339\) | 9.84803e8 | + | 6.85478e7i | 1.37294 | + | 0.0955641i | ||||
\(340\) | −5.48501e7 | − | 3.11070e8i | −0.0756835 | − | 0.429222i | ||||
\(341\) | −1.71557e8 | + | 2.97145e8i | −0.234297 | + | 0.405815i | ||||
\(342\) | −2.72077e8 | − | 6.72177e8i | −0.367791 | − | 0.908641i | ||||
\(343\) | −9.90552e7 | − | 1.71569e8i | −0.132540 | − | 0.229567i | ||||
\(344\) | 1.83359e8 | − | 1.53857e8i | 0.242856 | − | 0.203780i | ||||
\(345\) | 1.16614e8 | + | 1.12541e8i | 0.152892 | + | 0.147552i | ||||
\(346\) | 9.91727e7 | − | 5.62436e8i | 0.128714 | − | 0.729973i | ||||
\(347\) | 6.88717e8 | + | 5.77903e8i | 0.884887 | + | 0.742509i | 0.967178 | − | 0.254100i | \(-0.0817792\pi\) |
−0.0822908 | + | 0.996608i | \(0.526224\pi\) | |||||||
\(348\) | 3.40477e8 | − | 2.47537e8i | 0.433072 | − | 0.314857i | ||||
\(349\) | −3.30577e8 | − | 1.20320e8i | −0.416278 | − | 0.151513i | 0.125386 | − | 0.992108i | \(-0.459983\pi\) |
−0.541664 | + | 0.840595i | \(0.682205\pi\) | |||||||
\(350\) | 2.48304e6 | 0.00309560 | ||||||||
\(351\) | 9.10230e8 | + | 1.16274e9i | 1.12351 | + | 1.43519i | ||||
\(352\) | −4.04386e8 | −0.494193 | ||||||||
\(353\) | 1.78596e7 | + | 6.50035e6i | 0.0216102 | + | 0.00786548i | 0.352803 | − | 0.935698i | \(-0.385229\pi\) |
−0.331192 | + | 0.943563i | \(0.607451\pi\) | |||||||
\(354\) | 6.18397e8 | + | 2.75091e8i | 0.740894 | + | 0.329584i | ||||
\(355\) | −4.44618e8 | − | 3.73079e8i | −0.527458 | − | 0.442589i | ||||
\(356\) | 1.66425e8 | − | 9.43845e8i | 0.195499 | − | 1.10873i | ||||
\(357\) | −4.29538e7 | + | 1.23317e7i | −0.0499646 | + | 0.0143444i | ||||
\(358\) | −1.62721e9 | + | 1.36539e9i | −1.87436 | + | 1.57278i | ||||
\(359\) | −4.90435e8 | − | 8.49459e8i | −0.559437 | − | 0.968973i | −0.997543 | − | 0.0700503i | \(-0.977684\pi\) |
0.438106 | − | 0.898923i | \(-0.355649\pi\) | |||||||
\(360\) | −1.41569e8 | + | 8.85883e7i | −0.159923 | + | 0.100073i | ||||
\(361\) | 2.45339e8 | − | 4.24940e8i | 0.274468 | − | 0.475393i | ||||
\(362\) | −2.04720e7 | − | 1.16103e8i | −0.0226820 | − | 0.128636i | ||||
\(363\) | −3.52333e8 | − | 7.21805e8i | −0.386617 | − | 0.792039i | ||||
\(364\) | −2.38222e8 | + | 8.67057e7i | −0.258897 | + | 0.0942308i | ||||
\(365\) | 3.60663e8 | − | 1.31271e8i | 0.388219 | − | 0.141300i | ||||
\(366\) | 6.88098e8 | + | 1.40967e9i | 0.733612 | + | 1.50291i | ||||
\(367\) | 3.66455e7 | + | 2.07827e8i | 0.0386981 | + | 0.219468i | 0.998024 | − | 0.0628330i | \(-0.0200135\pi\) |
−0.959326 | + | 0.282301i | \(0.908902\pi\) | |||||||
\(368\) | 8.73049e7 | − | 1.51217e8i | 0.0913212 | − | 0.158173i | ||||
\(369\) | −1.29436e9 | + | 8.09957e8i | −1.34111 | + | 0.839208i | ||||
\(370\) | −1.01434e9 | − | 1.75689e9i | −1.04106 | − | 1.80317i | ||||
\(371\) | −9.04672e7 | + | 7.59110e7i | −0.0919777 | + | 0.0771785i | ||||
\(372\) | 1.46750e9 | − | 4.21305e8i | 1.47801 | − | 0.424323i | ||||
\(373\) | −8.89990e6 | + | 5.04739e7i | −0.00887983 | + | 0.0503600i | −0.988926 | − | 0.148411i | \(-0.952584\pi\) |
0.980046 | + | 0.198771i | \(0.0636951\pi\) | |||||||
\(374\) | 1.51443e8 | + | 1.27076e8i | 0.149692 | + | 0.125606i | ||||
\(375\) | 9.40294e8 | + | 4.18286e8i | 0.920776 | + | 0.409603i | ||||
\(376\) | 1.44600e8 | + | 5.26302e7i | 0.140285 | + | 0.0510596i | ||||
\(377\) | 8.98275e8 | 0.863405 | ||||||||
\(378\) | 1.26347e8 | + | 1.61397e8i | 0.120321 | + | 0.153700i | ||||
\(379\) | −2.14876e8 | −0.202746 | −0.101373 | − | 0.994849i | \(-0.532323\pi\) | ||||
−0.101373 | + | 0.994849i | \(0.532323\pi\) | |||||||
\(380\) | 7.56949e8 | + | 2.75507e8i | 0.707659 | + | 0.257567i | ||||
\(381\) | −1.66927e8 | + | 1.21361e8i | −0.154629 | + | 0.112420i | ||||
\(382\) | 1.44113e9 | + | 1.20925e9i | 1.32276 | + | 1.10993i | ||||
\(383\) | 1.09761e8 | − | 6.22485e8i | 0.0998280 | − | 0.566152i | −0.893333 | − | 0.449396i | \(-0.851639\pi\) |
0.993161 | − | 0.116756i | \(-0.0372497\pi\) | |||||||
\(384\) | 3.01086e8 | + | 2.90569e8i | 0.271351 | + | 0.261873i | ||||
\(385\) | 3.91974e7 | − | 3.28905e7i | 0.0350062 | − | 0.0293737i | ||||
\(386\) | −5.46913e8 | − | 9.47282e8i | −0.484020 | − | 0.838347i | ||||
\(387\) | −7.13197e8 | − | 1.76198e9i | −0.625492 | − | 1.54530i | ||||
\(388\) | −1.13737e9 | + | 1.96998e9i | −0.988532 | + | 1.71219i | ||||
\(389\) | 2.76831e7 | + | 1.56999e8i | 0.0238447 | + | 0.135230i | 0.994406 | − | 0.105623i | \(-0.0336838\pi\) |
−0.970562 | + | 0.240853i | \(0.922573\pi\) | |||||||
\(390\) | −3.08409e9 | − | 2.14670e8i | −2.63269 | − | 0.183250i | ||||
\(391\) | −9.24708e7 | + | 3.36566e7i | −0.0782323 | + | 0.0284742i | ||||
\(392\) | 2.09307e8 | − | 7.61816e7i | 0.175502 | − | 0.0638776i | ||||
\(393\) | −1.18185e9 | + | 1.75338e9i | −0.982177 | + | 1.45714i | ||||
\(394\) | −266476. | − | 1.51126e6i | −0.000219494 | − | 0.00124481i | ||||
\(395\) | −2.82693e8 | + | 4.89638e8i | −0.230794 | + | 0.399747i | ||||
\(396\) | 1.48376e8 | − | 4.57650e8i | 0.120069 | − | 0.370339i | ||||
\(397\) | 1.07644e7 | + | 1.86446e7i | 0.00863426 | + | 0.0149550i | 0.870310 | − | 0.492504i | \(-0.163918\pi\) |
−0.861676 | + | 0.507459i | \(0.830585\pi\) | |||||||
\(398\) | −1.25956e9 | + | 1.05690e9i | −1.00145 | + | 0.840313i | ||||
\(399\) | 2.75354e7 | − | 1.10589e8i | 0.0217013 | − | 0.0871579i | ||||
\(400\) | 3.00586e6 | − | 1.70471e7i | 0.00234833 | − | 0.0133180i | ||||
\(401\) | −8.30358e8 | − | 6.96753e8i | −0.643073 | − | 0.539602i | 0.261887 | − | 0.965098i | \(-0.415655\pi\) |
−0.904960 | + | 0.425496i | \(0.860100\pi\) | |||||||
\(402\) | −3.22946e8 | − | 3.06320e9i | −0.247935 | − | 2.35172i | ||||
\(403\) | 3.06154e9 | + | 1.11431e9i | 2.33008 | + | 0.848081i | ||||
\(404\) | 1.83527e9 | 1.38473 | ||||||||
\(405\) | 3.22491e8 | + | 1.28643e9i | 0.241226 | + | 0.962263i | ||||
\(406\) | 1.24687e8 | 0.0924659 | ||||||||
\(407\) | 6.33050e8 | + | 2.30411e8i | 0.465434 | + | 0.169404i | ||||
\(408\) | −1.06319e7 | − | 1.00846e8i | −0.00774997 | − | 0.0735100i | ||||
\(409\) | −1.53439e9 | − | 1.28751e9i | −1.10893 | − | 0.930503i | −0.110938 | − | 0.993827i | \(-0.535385\pi\) |
−0.997993 | + | 0.0633242i | \(0.979830\pi\) | |||||||
\(410\) | 5.55108e8 | − | 3.14818e9i | 0.397772 | − | 2.25588i | ||||
\(411\) | −4.78317e8 | + | 1.92104e9i | −0.339836 | + | 1.36487i | ||||
\(412\) | −5.25830e8 | + | 4.41223e8i | −0.370429 | + | 0.310827i | ||||
\(413\) | 5.31850e7 | + | 9.21191e7i | 0.0371504 | + | 0.0643465i | ||||
\(414\) | 3.02224e8 | + | 3.35222e8i | 0.209328 | + | 0.232183i | ||||
\(415\) | −2.52872e8 | + | 4.37987e8i | −0.173673 | + | 0.300811i | ||||
\(416\) | 6.66779e8 | + | 3.78149e9i | 0.454104 | + | 2.57535i | ||||
\(417\) | 1.69080e8 | − | 2.50845e8i | 0.114187 | − | 0.169406i | ||||
\(418\) | −4.73756e8 | + | 1.72433e8i | −0.317276 | + | 0.115479i | ||||
\(419\) | 2.25477e9 | − | 8.20668e8i | 1.49745 | − | 0.545028i | 0.542052 | − | 0.840345i | \(-0.317648\pi\) |
0.955399 | + | 0.295318i | \(0.0954255\pi\) | |||||||
\(420\) | −2.27139e8 | − | 1.58101e7i | −0.149596 | − | 0.0104127i | ||||
\(421\) | −2.27852e8 | − | 1.29221e9i | −0.148822 | − | 0.844009i | −0.964219 | − | 0.265107i | \(-0.914593\pi\) |
0.815397 | − | 0.578902i | \(-0.196519\pi\) | |||||||
\(422\) | 1.79026e9 | − | 3.10082e9i | 1.15964 | − | 2.00855i | ||||
\(423\) | 7.51741e8 | − | 9.63454e8i | 0.482922 | − | 0.618927i | ||||
\(424\) | −1.33988e8 | − | 2.32073e8i | −0.0853659 | − | 0.147858i | ||||
\(425\) | −7.47314e6 | + | 6.27071e6i | −0.00472217 | + | 0.00396237i | ||||
\(426\) | −1.16312e9 | − | 1.12250e9i | −0.728941 | − | 0.703480i | ||||
\(427\) | −4.28092e7 | + | 2.42783e8i | −0.0266097 | + | 0.150911i | ||||
\(428\) | 1.34969e9 | + | 1.13252e9i | 0.832111 | + | 0.698224i | ||||
\(429\) | 8.30371e8 | − | 6.03705e8i | 0.507775 | − | 0.369168i | ||||
\(430\) | 3.73967e9 | + | 1.36113e9i | 2.26826 | + | 0.825580i | ||||
\(431\) | −2.40860e9 | −1.44909 | −0.724543 | − | 0.689230i | \(-0.757949\pi\) | ||||
−0.724543 | + | 0.689230i | \(0.757949\pi\) | |||||||
\(432\) | 1.26101e9 | − | 6.72044e8i | 0.752534 | − | 0.401056i | ||||
\(433\) | −1.72459e9 | −1.02089 | −0.510445 | − | 0.859911i | \(-0.670519\pi\) | ||||
−0.510445 | + | 0.859911i | \(0.670519\pi\) | |||||||
\(434\) | 4.24965e8 | + | 1.54674e8i | 0.249539 | + | 0.0908248i | ||||
\(435\) | 7.37133e8 | + | 3.27910e8i | 0.429372 | + | 0.191004i | ||||
\(436\) | −1.00784e9 | − | 8.45675e8i | −0.582354 | − | 0.488653i | ||||
\(437\) | 4.35776e7 | − | 2.47141e8i | 0.0249792 | − | 0.141664i | ||||
\(438\) | 1.02741e9 | − | 2.94960e8i | 0.584229 | − | 0.167727i | ||||
\(439\) | 3.09353e8 | − | 2.59578e8i | 0.174513 | − | 0.146434i | −0.551348 | − | 0.834276i | \(-0.685886\pi\) |
0.725861 | + | 0.687842i | \(0.241442\pi\) | |||||||
\(440\) | 5.80539e7 | + | 1.00552e8i | 0.0324898 | + | 0.0562740i | ||||
\(441\) | −6.28630e7 | − | 1.76776e9i | −0.0349028 | − | 0.981494i | ||||
\(442\) | 9.38601e8 | − | 1.62570e9i | 0.517015 | − | 0.895496i | ||||
\(443\) | 1.31679e8 | + | 7.46786e8i | 0.0719618 | + | 0.408116i | 0.999416 | + | 0.0341783i | \(0.0108814\pi\) |
−0.927454 | + | 0.373937i | \(0.878007\pi\) | |||||||
\(444\) | −1.31497e9 | − | 2.69390e9i | −0.712977 | − | 1.46063i | ||||
\(445\) | 1.72607e9 | − | 6.28238e8i | 0.928535 | − | 0.337959i | ||||
\(446\) | −4.46045e9 | + | 1.62347e9i | −2.38071 | + | 0.866509i | ||||
\(447\) | 1.21711e9 | + | 2.49342e9i | 0.644544 | + | 1.32044i | ||||
\(448\) | 5.48659e7 | + | 3.11160e8i | 0.0288290 | + | 0.163497i | ||||
\(449\) | 2.06257e8 | − | 3.57248e8i | 0.107534 | − | 0.186255i | −0.807237 | − | 0.590228i | \(-0.799038\pi\) |
0.914771 | + | 0.403973i | \(0.132371\pi\) | |||||||
\(450\) | 3.95204e7 | + | 2.09810e7i | 0.0204446 | + | 0.0108538i | ||||
\(451\) | 5.30783e8 | + | 9.19343e8i | 0.272458 | + | 0.471911i | ||||
\(452\) | −2.33953e9 | + | 1.96310e9i | −1.19164 | + | 0.999903i | ||||
\(453\) | 9.36975e8 | − | 2.68997e8i | 0.473570 | − | 0.135958i | ||||
\(454\) | −3.50550e8 | + | 1.98807e9i | −0.175814 | + | 0.997093i | ||||
\(455\) | −3.72197e8 | − | 3.12311e8i | −0.185239 | − | 0.155434i | ||||
\(456\) | 2.36278e8 | + | 1.05107e8i | 0.116693 | + | 0.0519105i | ||||
\(457\) | 3.78038e8 | + | 1.37594e8i | 0.185280 | + | 0.0674364i | 0.432994 | − | 0.901397i | \(-0.357457\pi\) |
−0.247714 | + | 0.968833i | \(0.579679\pi\) | |||||||
\(458\) | −1.84628e8 | −0.0897983 | ||||||||
\(459\) | −7.87860e8 | − | 1.66675e8i | −0.380281 | − | 0.0804501i | ||||
\(460\) | −5.01372e8 | −0.240164 | ||||||||
\(461\) | −1.60037e9 | − | 5.82486e8i | −0.760793 | − | 0.276906i | −0.0676527 | − | 0.997709i | \(-0.521551\pi\) |
−0.693140 | + | 0.720803i | \(0.743773\pi\) | |||||||
\(462\) | 1.15262e8 | − | 8.37989e7i | 0.0543799 | − | 0.0395359i | ||||
\(463\) | 4.15841e7 | + | 3.48932e7i | 0.0194713 | + | 0.0163383i | 0.652471 | − | 0.757813i | \(-0.273732\pi\) |
−0.633000 | + | 0.774152i | \(0.718177\pi\) | |||||||
\(464\) | 1.50942e8 | − | 8.56032e8i | 0.0701449 | − | 0.397811i | ||||
\(465\) | 2.10555e9 | + | 2.03201e9i | 0.971138 | + | 0.937217i | ||||
\(466\) | −7.39999e8 | + | 6.20933e8i | −0.338751 | + | 0.284246i | ||||
\(467\) | 8.87812e8 | + | 1.53774e9i | 0.403378 | + | 0.698671i | 0.994131 | − | 0.108181i | \(-0.0345027\pi\) |
−0.590753 | + | 0.806852i | \(0.701169\pi\) | |||||||
\(468\) | −4.52423e9 | − | 6.32889e8i | −2.04025 | − | 0.285409i | ||||
\(469\) | 2.42041e8 | − | 4.19228e8i | 0.108339 | − | 0.187649i | ||||
\(470\) | 4.44275e8 | + | 2.51961e9i | 0.197383 | + | 1.11941i | ||||
\(471\) | −6.38839e8 | − | 4.44667e7i | −0.281720 | − | 0.0196093i | ||||
\(472\) | −2.26810e8 | + | 8.25522e7i | −0.0992809 | + | 0.0361353i | ||||
\(473\) | −1.24186e9 | + | 4.52000e8i | −0.539583 | + | 0.196392i | ||||
\(474\) | −8.80087e8 | + | 1.30568e9i | −0.379578 | + | 0.563136i | ||||
\(475\) | −4.32009e6 | − | 2.45005e7i | −0.00184955 | − | 0.0104893i | ||||
\(476\) | 6.91267e7 | − | 1.19731e8i | 0.0293779 | − | 0.0508841i | ||||
\(477\) | −2.08132e9 | + | 4.43789e8i | −0.878061 | + | 0.187224i | ||||
\(478\) | −2.37363e9 | − | 4.11125e9i | −0.994066 | − | 1.72177i | ||||
\(479\) | −1.36375e9 | + | 1.14432e9i | −0.566971 | + | 0.475745i | −0.880639 | − | 0.473788i | \(-0.842886\pi\) |
0.313668 | + | 0.949533i | \(0.398442\pi\) | |||||||
\(480\) | −8.33249e8 | + | 3.34654e9i | −0.343899 | + | 1.38118i | ||||
\(481\) | 1.11081e9 | − | 6.29970e9i | 0.455125 | − | 2.58114i | ||||
\(482\) | −6.64739e8 | − | 5.57782e8i | −0.270387 | − | 0.226882i | ||||
\(483\) | 7.43714e6 | + | 7.05428e7i | 0.00300325 | + | 0.0284864i | ||||
\(484\) | 2.33501e9 | + | 8.49875e8i | 0.936117 | + | 0.340719i | ||||
\(485\) | −4.35969e9 | −1.73524 | ||||||||
\(486\) | 6.47195e8 | + | 3.63643e9i | 0.255746 | + | 1.43697i | ||||
\(487\) | 3.39420e8 | 0.133164 | 0.0665818 | − | 0.997781i | \(-0.478791\pi\) | ||||
0.0665818 | + | 0.997781i | \(0.478791\pi\) | |||||||
\(488\) | −5.25667e8 | − | 1.91327e8i | −0.204758 | − | 0.0745259i | ||||
\(489\) | −2.23393e8 | − | 2.11893e9i | −0.0863952 | − | 0.819475i | ||||
\(490\) | 2.83694e9 | + | 2.38048e9i | 1.08934 | + | 0.914067i | ||||
\(491\) | −5.91211e7 | + | 3.35292e8i | −0.0225402 | + | 0.127832i | −0.994002 | − | 0.109366i | \(-0.965118\pi\) |
0.971461 | + | 0.237198i | \(0.0762290\pi\) | |||||||
\(492\) | 1.14131e9 | − | 4.58377e9i | 0.432040 | − | 1.73518i | ||||
\(493\) | −3.75269e8 | + | 3.14888e8i | −0.141052 | + | 0.118356i | ||||
\(494\) | 2.39362e9 | + | 4.14586e9i | 0.893326 | + | 1.54729i | ||||
\(495\) | 9.01790e8 | − | 1.92284e8i | 0.334185 | − | 0.0712566i | ||||
\(496\) | 1.57635e9 | − | 2.73032e9i | 0.580052 | − | 1.00468i | ||||
\(497\) | −4.41135e7 | − | 2.50180e8i | −0.0161185 | − | 0.0914125i | ||||
\(498\) | −7.87249e8 | + | 1.16795e9i | −0.285634 | + | 0.423761i | ||||
\(499\) | −1.08810e9 | + | 3.96036e8i | −0.392028 | + | 0.142687i | −0.530511 | − | 0.847678i | \(-0.678000\pi\) |
0.138482 | + | 0.990365i | \(0.455778\pi\) | |||||||
\(500\) | −2.99181e9 | + | 1.08893e9i | −1.07038 | + | 0.389587i | ||||
\(501\) | −2.13078e8 | − | 1.48314e7i | −0.0757018 | − | 0.00526927i | ||||
\(502\) | 4.88021e8 | + | 2.76770e9i | 0.172177 | + | 0.976465i | ||||
\(503\) | −2.50058e7 | + | 4.33113e7i | −0.00876098 | + | 0.0151745i | −0.870373 | − | 0.492394i | \(-0.836122\pi\) |
0.861612 | + | 0.507568i | \(0.169455\pi\) | |||||||
\(504\) | −7.23907e7 | − | 1.01267e7i | −0.0251870 | − | 0.00352338i | ||||
\(505\) | 1.75871e9 | + | 3.04617e9i | 0.607679 | + | 1.05253i | ||||
\(506\) | 2.40382e8 | − | 2.01704e8i | 0.0824850 | − | 0.0692131i | ||||
\(507\) | −4.90302e9 | − | 4.73176e9i | −1.67084 | − | 1.61248i | ||||
\(508\) | 1.10871e8 | − | 6.28779e8i | 0.0375227 | − | 0.212802i | ||||
\(509\) | 3.83269e9 | + | 3.21601e9i | 1.28822 | + | 1.08095i | 0.992054 | + | 0.125813i | \(0.0401538\pi\) |
0.296170 | + | 0.955135i | \(0.404291\pi\) | |||||||
\(510\) | 1.36368e9 | − | 9.91437e8i | 0.455215 | − | 0.330955i | ||||
\(511\) | 1.57859e8 | + | 5.74561e7i | 0.0523356 | + | 0.0190486i | ||||
\(512\) | 4.20819e9 | 1.38564 | ||||||||
\(513\) | 1.37271e9 | − | 1.52749e9i | 0.448918 | − | 0.499536i | ||||
\(514\) | −1.00182e9 | −0.325400 | ||||||||
\(515\) | −1.23623e9 | − | 4.49952e8i | −0.398818 | − | 0.145158i | ||||
\(516\) | 5.37299e9 | + | 2.39015e9i | 1.72164 | + | 0.765863i | ||||
\(517\) | −6.50840e8 | − | 5.46120e8i | −0.207137 | − | 0.173809i | ||||
\(518\) | 1.54188e8 | − | 8.74446e8i | 0.0487414 | − | 0.276426i | ||||
\(519\) | 1.55462e9 | − | 4.46317e8i | 0.488132 | − | 0.140139i | ||||
\(520\) | 8.44561e8 | − | 7.08671e8i | 0.263402 | − | 0.221021i | ||||
\(521\) | 3.04302e8 | + | 5.27067e8i | 0.0942699 | + | 0.163280i | 0.909304 | − | 0.416133i | \(-0.136615\pi\) |
−0.815034 | + | 0.579414i | \(0.803282\pi\) | |||||||
\(522\) | 1.98455e9 | + | 1.05358e9i | 0.610681 | + | 0.324204i | ||||
\(523\) | −1.22368e9 | + | 2.11947e9i | −0.374034 | + | 0.647846i | −0.990182 | − | 0.139784i | \(-0.955359\pi\) |
0.616148 | + | 0.787631i | \(0.288692\pi\) | |||||||
\(524\) | −1.13594e9 | − | 6.44222e9i | −0.344901 | − | 1.95603i | ||||
\(525\) | 3.08467e6 | + | 6.31939e6i | 0.000930361 | + | 0.00190598i | ||||
\(526\) | 4.46579e9 | − | 1.62542e9i | 1.33798 | − | 0.486984i | ||||
\(527\) | −1.66962e9 | + | 6.07694e8i | −0.496915 | + | 0.180862i | ||||
\(528\) | −4.35784e8 | − | 8.92765e8i | −0.128841 | − | 0.263948i | ||||
\(529\) | −5.64118e8 | − | 3.19927e9i | −0.165682 | − | 0.939630i | ||||
\(530\) | 2.22773e9 | − | 3.85855e9i | 0.649976 | − | 1.12579i | ||||
\(531\) | 6.81198e7 | + | 1.91558e9i | 0.0197443 | + | 0.555227i | ||||
\(532\) | 1.76287e8 | + | 3.05337e8i | 0.0507608 | + | 0.0879203i | ||||
\(533\) | 7.72177e9 | − | 6.47933e9i | 2.20888 | − | 1.85347i | ||||
\(534\) | 4.91699e9 | − | 1.41163e9i | 1.39735 | − | 0.401167i | ||||
\(535\) | −5.86373e8 | + | 3.32549e9i | −0.165552 | + | 0.938894i | ||||
\(536\) | 8.41456e8 | + | 7.06065e8i | 0.236023 | + | 0.198047i | ||||
\(537\) | −5.49645e9 | − | 2.44507e9i | −1.53169 | − | 0.681368i | ||||
\(538\) | −7.08095e9 | − | 2.57726e9i | −1.96044 | − | 0.713542i | ||||
\(539\) | −1.22980e9 | −0.338279 | ||||||||
\(540\) | −3.48159e9 | − | 2.17090e9i | −0.951480 | − | 0.593283i | ||||
\(541\) | −1.97224e9 | −0.535512 | −0.267756 | − | 0.963487i | \(-0.586282\pi\) | ||||
−0.267756 | + | 0.963487i | \(0.586282\pi\) | |||||||
\(542\) | 6.70668e9 | + | 2.44103e9i | 1.80930 | + | 0.658530i | ||||
\(543\) | 2.70052e8 | − | 1.96336e8i | 0.0723850 | − | 0.0526261i | ||||
\(544\) | −1.60415e9 | − | 1.34604e9i | −0.427218 | − | 0.358478i | ||||
\(545\) | 4.37854e8 | − | 2.48319e9i | 0.115862 | − | 0.657087i | ||||
\(546\) | −9.73672e8 | − | 9.39663e8i | −0.255999 | − | 0.247057i | ||||
\(547\) | −4.76256e9 | + | 3.99626e9i | −1.24418 | + | 1.04399i | −0.246998 | + | 0.969016i | \(0.579444\pi\) |
−0.997185 | + | 0.0749781i | \(0.976111\pi\) | |||||||
\(548\) | −3.06227e9 | − | 5.30401e9i | −0.794898 | − | 1.37680i | ||||
\(549\) | −2.73281e9 | + | 3.50245e9i | −0.704866 | + | 0.903377i | ||||
\(550\) | 1.55542e7 | − | 2.69407e7i | 0.00398638 | − | 0.00690461i | ||||
\(551\) | −2.16937e8 | − | 1.23031e9i | −0.0552462 | − | 0.313317i | ||||
\(552\) | −1.60569e8 | − | 1.11765e7i | −0.0406325 | − | 0.00282825i | ||||
\(553\) | −2.32541e8 | + | 8.46379e7i | −0.0584738 | + | 0.0212827i | ||||
\(554\) | 1.76766e9 | − | 6.43377e8i | 0.441688 | − | 0.160761i | ||||
\(555\) | 3.21121e9 | − | 4.76410e9i | 0.797339 | − | 1.18292i | ||||
\(556\) | 1.62511e8 | + | 9.21648e8i | 0.0400979 | + | 0.227407i | ||||
\(557\) | −3.00714e9 | + | 5.20852e9i | −0.737328 | + | 1.27709i | 0.216367 | + | 0.976312i | \(0.430579\pi\) |
−0.953695 | + | 0.300777i | \(0.902754\pi\) | |||||||
\(558\) | 5.45686e9 | + | 6.05267e9i | 1.32961 | + | 1.47478i | ||||
\(559\) | 6.27440e9 | + | 1.08676e10i | 1.51926 | + | 2.63143i | ||||
\(560\) | −3.60166e8 | + | 3.02215e8i | −0.0866652 | + | 0.0727208i | ||||
\(561\) | −1.35274e8 | + | 5.43292e8i | −0.0323477 | + | 0.129916i | ||||
\(562\) | −6.14242e8 | + | 3.48354e9i | −0.145969 | + | 0.827834i | ||||
\(563\) | −5.42971e8 | − | 4.55607e8i | −0.128232 | − | 0.107600i | 0.576416 | − | 0.817156i | \(-0.304451\pi\) |
−0.704648 | + | 0.709557i | \(0.748895\pi\) | |||||||
\(564\) | 3.96380e8 | + | 3.75974e9i | 0.0930324 | + | 0.882431i | ||||
\(565\) | −5.50027e9 | − | 2.00194e9i | −1.28296 | − | 0.466961i | ||||
\(566\) | 3.70672e9 | 0.859274 | ||||||||
\(567\) | −2.53800e8 | + | 5.22060e8i | −0.0584724 | + | 0.120276i | ||||
\(568\) | 5.76447e8 | 0.131990 | ||||||||
\(569\) | −1.15365e9 | − | 4.19895e8i | −0.262532 | − | 0.0955537i | 0.207401 | − | 0.978256i | \(-0.433500\pi\) |
−0.469933 | + | 0.882702i | \(0.655722\pi\) | |||||||
\(570\) | 4.50799e8 | + | 4.27591e9i | 0.101958 | + | 0.967090i | ||||
\(571\) | 3.33801e9 | + | 2.80092e9i | 0.750344 | + | 0.629614i | 0.935594 | − | 0.353078i | \(-0.114865\pi\) |
−0.185250 | + | 0.982692i | \(0.559309\pi\) | |||||||
\(572\) | −5.51520e8 | + | 3.12783e9i | −0.123218 | + | 0.698806i | ||||
\(573\) | −1.28726e9 | + | 5.16996e9i | −0.285842 | + | 1.14801i | ||||
\(574\) | 1.07184e9 | − | 8.99381e8i | 0.236559 | − | 0.198496i | ||||
\(575\) | 7.74234e6 | + | 1.34101e7i | 0.00169838 | + | 0.00294168i | ||||
\(576\) | −1.75596e9 | + | 5.41608e9i | −0.382857 | + | 1.18088i | ||||
\(577\) | −2.65927e9 | + | 4.60600e9i | −0.576299 | + | 0.998178i | 0.419601 | + | 0.907709i | \(0.362170\pi\) |
−0.995899 | + | 0.0904696i | \(0.971163\pi\) | |||||||
\(578\) | −9.98852e8 | − | 5.66477e9i | −0.215156 | − | 1.22021i | ||||
\(579\) | 1.73143e9 | − | 2.56872e9i | 0.370706 | − | 0.549973i | ||||
\(580\) | −2.34539e9 | + | 8.53653e8i | −0.499135 | + | 0.181670i | ||||
\(581\) | −2.08011e8 | + | 7.57097e7i | −0.0440017 | + | 0.0160153i | ||||
\(582\) | −1.21124e10 | − | 8.43092e8i | −2.54683 | − | 0.177274i | ||||
\(583\) | 2.56923e8 | + | 1.45708e9i | 0.0536986 | + | 0.304540i | ||||
\(584\) | −1.90595e8 | + | 3.30121e8i | −0.0395974 | + | 0.0685847i | ||||
\(585\) | −3.28502e9 | − | 8.11576e9i | −0.678410 | − | 1.67604i | ||||
\(586\) | −4.13032e9 | − | 7.15392e9i | −0.847895 | − | 1.46860i | ||||
\(587\) | −1.66926e9 | + | 1.40068e9i | −0.340637 | + | 0.285828i | −0.797017 | − | 0.603957i | \(-0.793590\pi\) |
0.456381 | + | 0.889785i | \(0.349146\pi\) | |||||||
\(588\) | 3.93769e9 | + | 3.80015e9i | 0.798768 | + | 0.770868i | ||||
\(589\) | 7.86823e8 | − | 4.46229e9i | 0.158662 | − | 0.899818i | ||||
\(590\) | −3.07418e9 | − | 2.57954e9i | −0.616236 | − | 0.517083i | ||||
\(591\) | 3.51516e6 | − | 2.55563e6i | 0.000700469 | − | 0.000509262i | ||||
\(592\) | −5.81679e9 | − | 2.11714e9i | −1.15228 | − | 0.419395i | ||||
\(593\) | 8.21835e9 | 1.61843 | 0.809213 | − | 0.587515i | \(-0.199894\pi\) | ||||
0.809213 | + | 0.587515i | \(0.199894\pi\) | |||||||
\(594\) | 2.54261e9 | − | 3.59827e8i | 0.497768 | − | 0.0704435i | ||||
\(595\) | 2.64971e8 | 0.0515691 | ||||||||
\(596\) | −8.06611e9 | − | 2.93583e9i | −1.56064 | − | 0.568026i | ||||
\(597\) | −4.25458e9 | − | 1.89263e9i | −0.818363 | − | 0.364045i | ||||
\(598\) | −2.28254e9 | − | 1.91528e9i | −0.436479 | − | 0.366250i | ||||
\(599\) | 9.59029e8 | − | 5.43892e9i | 0.182321 | − | 1.03400i | −0.747027 | − | 0.664793i | \(-0.768520\pi\) |
0.929349 | − | 0.369203i | \(-0.120369\pi\) | |||||||
\(600\) | −1.53371e7 | + | 4.40314e6i | −0.00289876 | + | 0.000832210i | ||||
\(601\) | 7.92901e9 | − | 6.65323e9i | 1.48990 | − | 1.25018i | 0.595151 | − | 0.803614i | \(-0.297092\pi\) |
0.894752 | − | 0.446564i | \(-0.147352\pi\) | |||||||
\(602\) | 8.70935e8 | + | 1.50850e9i | 0.162704 | + | 0.281812i | ||||
\(603\) | 7.39474e9 | − | 4.62732e9i | 1.37345 | − | 0.859447i | ||||
\(604\) | −1.50790e9 | + | 2.61176e9i | −0.278447 | + | 0.482285i | ||||
\(605\) | 8.26983e8 | + | 4.69005e9i | 0.151828 | + | 0.861061i | ||||
\(606\) | 4.29710e9 | + | 8.80322e9i | 0.784370 | + | 1.60689i | ||||
\(607\) | 2.00478e9 | − | 7.29682e8i | 0.363837 | − | 0.132426i | −0.153631 | − | 0.988128i | \(-0.549097\pi\) |
0.517468 | + | 0.855702i | \(0.326875\pi\) | |||||||
\(608\) | 5.01824e9 | − | 1.82649e9i | 0.905500 | − | 0.329575i | ||||
\(609\) | 1.54899e8 | + | 3.17333e8i | 0.0277900 | + | 0.0569317i | ||||
\(610\) | −1.61508e9 | − | 9.15955e9i | −0.288097 | − | 1.63388i | ||||
\(611\) | −4.03373e9 | + | 6.98662e9i | −0.715422 | + | 1.23915i | ||||
\(612\) | 2.11193e9 | − | 1.32156e9i | 0.372434 | − | 0.233054i | ||||
\(613\) | 1.68829e9 | + | 2.92421e9i | 0.296030 | + | 0.512739i | 0.975224 | − | 0.221220i | \(-0.0710038\pi\) |
−0.679194 | + | 0.733959i | \(0.737670\pi\) | |||||||
\(614\) | 1.22739e9 | − | 1.02990e9i | 0.213989 | − | 0.179558i | ||||
\(615\) | 8.70180e9 | − | 2.49821e9i | 1.50850 | − | 0.433078i | ||||
\(616\) | −8.82470e6 | + | 5.00474e7i | −0.00152113 | + | 0.00862678i | ||||
\(617\) | −4.09951e8 | − | 3.43990e8i | −0.0702642 | − | 0.0589587i | 0.606979 | − | 0.794718i | \(-0.292381\pi\) |
−0.677243 | + | 0.735759i | \(0.736826\pi\) | |||||||
\(618\) | −3.34758e9 | − | 1.48916e9i | −0.570521 | − | 0.253794i | ||||
\(619\) | −3.09300e9 | − | 1.12576e9i | −0.524159 | − | 0.190778i | 0.0663696 | − | 0.997795i | \(-0.478858\pi\) |
−0.590528 | + | 0.807017i | \(0.701081\pi\) | |||||||
\(620\) | −9.05262e9 | −1.52547 | ||||||||
\(621\) | −4.77697e8 | + | 1.18561e9i | −0.0800445 | + | 0.198665i | ||||
\(622\) | 7.81997e9 | 1.30298 | ||||||||
\(623\) | 7.55487e8 | + | 2.74975e8i | 0.125175 | + | 0.0455601i | ||||
\(624\) | −7.62987e9 | + | 5.54716e9i | −1.25710 | + | 0.913954i | ||||
\(625\) | −4.60024e9 | − | 3.86006e9i | −0.753703 | − | 0.632432i | ||||
\(626\) | −2.20179e9 | + | 1.24870e10i | −0.358728 | + | 2.03445i | ||||
\(627\) | −1.02739e9 | − | 9.91508e8i | −0.166456 | − | 0.160642i | ||||
\(628\) | 1.51765e9 | − | 1.27346e9i | 0.244519 | − | 0.205175i | ||||
\(629\) | 1.74429e9 | + | 3.02119e9i | 0.279473 | + | 0.484062i | ||||
\(630\) | −4.55986e8 | − | 1.12653e9i | −0.0726540 | − | 0.179494i | ||||
\(631\) | 4.50051e9 | − | 7.79511e9i | 0.713114 | − | 1.23515i | −0.250568 | − | 0.968099i | \(-0.580617\pi\) |
0.963682 | − | 0.267051i | \(-0.0860492\pi\) | |||||||
\(632\) | −9.75082e7 | − | 5.52996e8i | −0.0153650 | − | 0.0871390i | ||||
\(633\) | 1.01157e10 | + | 7.04110e8i | 1.58520 | + | 0.110339i | ||||
\(634\) | −1.14295e10 | + | 4.16000e9i | −1.78121 | + | 0.648307i | ||||
\(635\) | 1.14989e9 | − | 4.18525e8i | 0.178216 | − | 0.0648654i | ||||
\(636\) | 3.67981e9 | − | 5.45931e9i | 0.567186 | − | 0.841468i | ||||
\(637\) | 2.02779e9 | + | 1.15001e10i | 0.310838 | + | 1.76285i | ||||
\(638\) | 7.81066e8 | − | 1.35285e9i | 0.119074 | − | 0.206241i | ||||
\(639\) | 1.41184e9 | − | 4.35466e9i | 0.214058 | − | 0.660239i | ||||
\(640\) | −1.24049e9 | − | 2.14858e9i | −0.187052 | − | 0.323983i | ||||
\(641\) | 1.22394e9 | − | 1.02701e9i | 0.183552 | − | 0.154018i | −0.546382 | − | 0.837536i | \(-0.683995\pi\) |
0.729934 | + | 0.683518i | \(0.239551\pi\) | |||||||
\(642\) | −2.27220e9 | + | 9.12573e9i | −0.338902 | + | 1.36112i | ||||
\(643\) | 2.04990e8 | − | 1.16256e9i | 0.0304085 | − | 0.172455i | −0.965821 | − | 0.259209i | \(-0.916538\pi\) |
0.996230 | + | 0.0867537i | \(0.0276493\pi\) | |||||||
\(644\) | −1.68106e8 | − | 1.41057e8i | −0.0248017 | − | 0.0208111i | ||||
\(645\) | 1.18168e9 | + | 1.12085e10i | 0.173397 | + | 1.64470i | ||||
\(646\) | −2.45330e9 | − | 8.92927e8i | −0.358044 | − | 0.130317i | ||||
\(647\) | −8.31587e9 | −1.20710 | −0.603549 | − | 0.797326i | \(-0.706247\pi\) | ||||
−0.603549 | + | 0.797326i | \(0.706247\pi\) | |||||||
\(648\) | −1.06662e9 | − | 7.72860e8i | −0.153991 | − | 0.111581i | ||||
\(649\) | 1.33264e9 | 0.191363 | ||||||||
\(650\) | −2.77575e8 | − | 1.01029e8i | −0.0396445 | − | 0.0144294i | ||||
\(651\) | 1.34283e8 | + | 1.27370e9i | 0.0190760 | + | 0.180939i | ||||
\(652\) | 5.04948e9 | + | 4.23702e9i | 0.713478 | + | 0.598679i | ||||
\(653\) | −1.39235e9 | + | 7.89638e9i | −0.195682 | + | 1.10977i | 0.715762 | + | 0.698344i | \(0.246079\pi\) |
−0.911444 | + | 0.411424i | \(0.865032\pi\) | |||||||
\(654\) | 1.69669e9 | − | 6.81433e9i | 0.237181 | − | 0.952579i | ||||
\(655\) | 9.60420e9 | − | 8.05888e9i | 1.33542 | − | 1.12055i | ||||
\(656\) | −4.87711e9 | − | 8.44740e9i | −0.674526 | − | 1.16831i | ||||
\(657\) | 2.02703e9 | + | 2.24835e9i | 0.278857 | + | 0.309304i | ||||
\(658\) | −5.59912e8 | + | 9.69796e8i | −0.0766177 | + | 0.132706i | ||||
\(659\) | −1.20237e9 | − | 6.81897e9i | −0.163658 | − | 0.928153i | −0.950437 | − | 0.310918i | \(-0.899364\pi\) |
0.786778 | − | 0.617236i | \(-0.211747\pi\) | |||||||
\(660\) | −1.59438e9 | + | 2.36540e9i | −0.215868 | + | 0.320258i | ||||
\(661\) | −5.01044e9 | + | 1.82365e9i | −0.674794 | + | 0.245605i | −0.656611 | − | 0.754230i | \(-0.728010\pi\) |
−0.0181832 | + | 0.999835i | \(0.505788\pi\) | |||||||
\(662\) | −3.28047e8 | + | 1.19399e8i | −0.0439473 | + | 0.0159955i | ||||
\(663\) | 5.30348e9 | + | 3.69152e8i | 0.706747 | + | 0.0491935i | ||||
\(664\) | −8.72223e7 | − | 4.94662e8i | −0.0115622 | − | 0.0655723i | ||||
\(665\) | −3.37865e8 | + | 5.85199e8i | −0.0445520 | + | 0.0771663i | ||||
\(666\) | 9.84293e9 | − | 1.26150e10i | 1.29111 | − | 1.65473i | ||||
\(667\) | 3.88787e8 | + | 6.73399e8i | 0.0507308 | + | 0.0878682i | ||||
\(668\) | 5.06195e8 | − | 4.24748e8i | 0.0657052 | − | 0.0551332i | ||||
\(669\) | −9.67300e9 | − | 9.33513e9i | −1.24902 | − | 1.20539i | ||||
\(670\) | −3.17136e9 | + | 1.79857e10i | −0.407365 | + | 2.31028i | ||||
\(671\) | 2.36601e9 | + | 1.98532e9i | 0.302334 | + | 0.253689i | ||||
\(672\) | −1.22091e9 | + | 8.87636e8i | −0.155199 | + | 0.112835i | ||||
\(673\) | 4.44645e8 | + | 1.61838e8i | 0.0562290 | + | 0.0204657i | 0.369982 | − | 0.929039i | \(-0.379364\pi\) |
−0.313753 | + | 0.949505i | \(0.601586\pi\) | |||||||
\(674\) | 6.37347e9 | 0.801801 | ||||||||
\(675\) | −4.30096e6 | + | 1.26645e8i | −0.000538272 | + | 0.0158499i | ||||
\(676\) | 2.10800e10 | 2.62457 | ||||||||
\(677\) | 4.75627e9 | + | 1.73114e9i | 0.589123 | + | 0.214423i | 0.619344 | − | 0.785120i | \(-0.287399\pi\) |
−0.0302206 | + | 0.999543i | \(0.509621\pi\) | |||||||
\(678\) | −1.48941e10 | − | 6.62560e9i | −1.83532 | − | 0.816434i | ||||
\(679\) | −1.46177e9 | − | 1.22657e9i | −0.179198 | − | 0.150365i | ||||
\(680\) | −1.04406e8 | + | 5.92118e8i | −0.0127334 | + | 0.0722149i | ||||
\(681\) | −5.49517e9 | + | 1.57762e9i | −0.666755 | + | 0.191420i | ||||
\(682\) | 4.34026e9 | − | 3.64191e9i | 0.523927 | − | 0.439627i | ||||
\(683\) | −4.77386e9 | − | 8.26857e9i | −0.573321 | − | 0.993020i | −0.996222 | − | 0.0868446i | \(-0.972322\pi\) |
0.422901 | − | 0.906176i | \(-0.361012\pi\) | |||||||
\(684\) | 2.25790e8 | + | 6.34938e9i | 0.0269779 | + | 0.758639i | ||||
\(685\) | 5.86904e9 | − | 1.01655e10i | 0.697670 | − | 1.20840i | ||||
\(686\) | 5.68070e8 | + | 3.22169e9i | 0.0671843 | + | 0.381021i | ||||
\(687\) | −2.29363e8 | − | 4.69883e8i | −0.0269883 | − | 0.0552893i | ||||
\(688\) | 1.14108e10 | − | 4.15321e9i | 1.33585 | − | 0.486210i | ||||
\(689\) | 1.32018e10 | − | 4.80507e9i | 1.53768 | − | 0.559671i | ||||
\(690\) | −1.17391e9 | − | 2.40492e9i | −0.136039 | − | 0.278695i | ||||
\(691\) | 1.72671e9 | + | 9.79265e9i | 0.199088 | + | 1.12909i | 0.906475 | + | 0.422259i | \(0.138763\pi\) |
−0.707387 | + | 0.706827i | \(0.750126\pi\) | |||||||
\(692\) | −2.50189e9 | + | 4.33339e9i | −0.287010 | + | 0.497115i | ||||
\(693\) | 3.56460e8 | + | 1.89241e8i | 0.0406860 | + | 0.0215998i | ||||
\(694\) | −7.42304e9 | − | 1.28571e10i | −0.842992 | − | 1.46010i | ||||
\(695\) | −1.37401e9 | + | 1.15293e9i | −0.155254 | + | 0.130274i | ||||
\(696\) | −7.70162e8 | + | 2.21107e8i | −0.0865864 | + | 0.0248582i | ||||
\(697\) | −9.54581e8 | + | 5.41370e9i | −0.106782 | + | 0.605591i | ||||
\(698\) | 4.45005e9 | + | 3.73404e9i | 0.495303 | + | 0.415609i | ||||
\(699\) | −2.49959e9 | − | 1.11193e9i | −0.276821 | − | 0.123143i | ||||
\(700\) | −2.04430e7 | − | 7.44064e6i | −0.00225269 | − | 0.000819912i | ||||
\(701\) | −1.05940e10 | −1.16157 | −0.580785 | − | 0.814057i | \(-0.697254\pi\) | ||||
−0.580785 | + | 0.814057i | \(0.697254\pi\) | |||||||
\(702\) | −7.55724e9 | − | 2.31831e10i | −0.824486 | − | 2.52925i | ||||
\(703\) | −8.89655e9 | −0.965779 | ||||||||
\(704\) | 3.71975e9 | + | 1.35388e9i | 0.401799 | + | 0.146243i | ||||
\(705\) | −5.86054e9 | + | 4.26080e9i | −0.629906 | + | 0.457961i | ||||
\(706\) | −2.40416e8 | − | 2.01733e8i | −0.0257127 | − | 0.0215755i | ||||
\(707\) | −2.67339e8 | + | 1.51616e9i | −0.0284508 | + | 0.161353i | ||||
\(708\) | −4.26697e9 | − | 4.11793e9i | −0.451859 | − | 0.436076i | ||||
\(709\) | −1.78576e9 | + | 1.49843e9i | −0.188175 | + | 0.157897i | −0.732008 | − | 0.681296i | \(-0.761417\pi\) |
0.543833 | + | 0.839193i | \(0.316972\pi\) | |||||||
\(710\) | 4.79212e9 | + | 8.30019e9i | 0.502485 | + | 0.870329i | ||||
\(711\) | −4.41633e9 | − | 6.17795e8i | −0.460806 | − | 0.0644616i | ||||
\(712\) | −9.12156e8 | + | 1.57990e9i | −0.0947085 | + | 0.164040i | ||||
\(713\) | 4.89730e8 | + | 2.77739e9i | 0.0505991 | + | 0.286962i | ||||
\(714\) | 7.36164e8 | + | 5.12411e7i | 0.0756887 | + | 0.00526836i | ||||
\(715\) | −5.72006e9 | + | 2.08193e9i | −0.585234 | + | 0.213008i | ||||
\(716\) | 1.74885e10 | − | 6.36528e9i | 1.78056 | − | 0.648071i | ||||
\(717\) | 7.51447e9 | − | 1.11483e10i | 0.761345 | − | 1.12952i | ||||
\(718\) | 2.81259e9 | + | 1.59510e10i | 0.283577 | + | 1.60824i | ||||
\(719\) | −5.72000e9 | + | 9.90733e9i | −0.573912 | + | 0.994044i | 0.422247 | + | 0.906481i | \(0.361241\pi\) |
−0.996159 | + | 0.0875634i | \(0.972092\pi\) | |||||||
\(720\) | −8.28611e9 | + | 1.76680e9i | −0.827346 | + | 0.176411i | ||||
\(721\) | −2.87908e8 | − | 4.98670e8i | −0.0286075 | − | 0.0495496i | ||||
\(722\) | −6.20691e9 | + | 5.20822e9i | −0.613755 | + | 0.515002i | ||||
\(723\) | 5.93765e8 | − | 2.38471e9i | 0.0584293 | − | 0.234667i | ||||
\(724\) | −1.79365e8 | + | 1.01723e9i | −0.0175652 | + | 0.0996170i | ||||
\(725\) | 5.90508e7 | + | 4.95495e7i | 0.00575497 | + | 0.00482899i | ||||
\(726\) | 1.39061e9 | + | 1.31902e10i | 0.134874 | + | 1.27930i | ||||
\(727\) | 9.56230e9 | + | 3.48039e9i | 0.922979 | + | 0.335937i | 0.759423 | − | 0.650597i | \(-0.225481\pi\) |
0.163556 | + | 0.986534i | \(0.447703\pi\) | |||||||
\(728\) | 4.82554e8 | 0.0463539 | ||||||||
\(729\) | −8.45080e9 | + | 6.16466e9i | −0.807888 | + | 0.589336i | ||||
\(730\) | −6.33782e9 | −0.602990 | ||||||||
\(731\) | −6.43084e9 | − | 2.34063e9i | −0.608915 | − | 0.221627i | ||||
\(732\) | −1.44096e9 | − | 1.36678e10i | −0.135789 | − | 1.28798i | ||||
\(733\) | 1.32309e10 | + | 1.11020e10i | 1.24087 | + | 1.04121i | 0.997456 | + | 0.0712891i | \(0.0227113\pi\) |
0.243412 | + | 0.969923i | \(0.421733\pi\) | |||||||
\(734\) | 6.05125e8 | − | 3.43183e9i | 0.0564818 | − | 0.320324i | ||||
\(735\) | −2.53405e9 | + | 1.01774e10i | −0.235401 | + | 0.945430i | ||||
\(736\) | −2.54624e9 | + | 2.13654e9i | −0.235411 | + | 0.197533i | ||||
\(737\) | −3.03239e9 | − | 5.25225e9i | −0.279029 | − | 0.483292i | ||||
\(738\) | 2.46591e10 | − | 5.25794e9i | 2.25830 | − | 0.481525i | ||||
\(739\) | −3.69684e9 | + | 6.40312e9i | −0.336958 | + | 0.583628i | −0.983859 | − | 0.178946i | \(-0.942731\pi\) |
0.646901 | + | 0.762574i | \(0.276065\pi\) | |||||||
\(740\) | 3.08645e9 | + | 1.75041e10i | 0.279994 | + | 1.58792i | ||||
\(741\) | −7.57775e9 | + | 1.12422e10i | −0.684190 | + | 1.01505i | ||||
\(742\) | 1.83252e9 | − | 6.66981e8i | 0.164677 | − | 0.0599377i | ||||
\(743\) | −1.08896e10 | + | 3.96350e9i | −0.973984 | + | 0.354501i | −0.779498 | − | 0.626404i | \(-0.784526\pi\) |
−0.194486 | + | 0.980905i | \(0.562304\pi\) | |||||||
\(744\) | −2.89918e9 | − | 2.01799e8i | −0.258089 | − | 0.0179644i | ||||
\(745\) | −2.85675e9 | − | 1.62014e10i | −0.253119 | − | 1.43551i | ||||
\(746\) | 4.23165e8 | − | 7.32943e8i | 0.0373185 | − | 0.0646375i | ||||
\(747\) | −3.95046e9 | − | 5.52626e8i | −0.346757 | − | 0.0485075i | ||||
\(748\) | −8.66046e8 | − | 1.50004e9i | −0.0756633 | − | 0.131053i | ||||
\(749\) | −1.13221e9 | + | 9.50035e8i | −0.0984555 | + | 0.0826140i | ||||
\(750\) | −1.22282e10 | − | 1.18011e10i | −1.05840 | − | 1.02143i | ||||
\(751\) | 2.09449e9 | − | 1.18784e10i | 0.180442 | − | 1.02334i | −0.751230 | − | 0.660040i | \(-0.770539\pi\) |
0.931673 | − | 0.363299i | \(-0.118350\pi\) | |||||||
\(752\) | 5.98026e9 | + | 5.01803e9i | 0.512811 | + | 0.430300i | ||||
\(753\) | −6.43761e9 | + | 4.68034e9i | −0.549468 | + | 0.399480i | ||||
\(754\) | −1.39386e10 | − | 5.07324e9i | −1.18419 | − | 0.431008i | ||||
\(755\) | −5.77997e9 | −0.488777 | ||||||||
\(756\) | −5.56580e8 | − | 1.70741e9i | −0.0468491 | − | 0.143718i | ||||
\(757\) | −9.05882e9 | −0.758990 | −0.379495 | − | 0.925194i | \(-0.623902\pi\) | ||||
−0.379495 | + | 0.925194i | \(0.623902\pi\) | |||||||
\(758\) | 3.33426e9 | + | 1.21357e9i | 0.278072 | + | 0.101210i | ||||
\(759\) | 8.11970e8 | + | 3.61201e8i | 0.0674052 | + | 0.0299849i | ||||
\(760\) | −1.17458e9 | − | 9.85594e8i | −0.0970592 | − | 0.0814423i | ||||
\(761\) | −1.83783e8 | + | 1.04228e9i | −0.0151168 | + | 0.0857314i | −0.991433 | − | 0.130618i | \(-0.958304\pi\) |
0.976316 | + | 0.216349i | \(0.0694150\pi\) | |||||||
\(762\) | 3.27564e9 | − | 9.40409e8i | 0.268197 | − | 0.0769971i | ||||
\(763\) | 8.45438e8 | − | 7.09407e8i | 0.0689043 | − | 0.0578175i | ||||
\(764\) | −8.24128e9 | − | 1.42743e10i | −0.668602 | − | 1.15805i | ||||
\(765\) | 4.21733e9 | + | 2.23894e9i | 0.340583 | + | 0.180812i | ||||
\(766\) | −5.21882e9 | + | 9.03926e9i | −0.419538 | + | 0.726661i | ||||
\(767\) | −2.19736e9 | − | 1.24618e10i | −0.175840 | − | 0.997236i | ||||
\(768\) | 3.80507e9 | + | 7.79522e9i | 0.303108 | + | 0.620961i | ||||
\(769\) | −1.43829e10 | + | 5.23495e9i | −1.14052 | + | 0.415117i | −0.842103 | − | 0.539317i | \(-0.818682\pi\) |
−0.298422 | + | 0.954434i | \(0.596460\pi\) | |||||||
\(770\) | −7.93988e8 | + | 2.88988e8i | −0.0626753 | + | 0.0228119i | ||||
\(771\) | −1.24456e9 | − | 2.54965e9i | −0.0977967 | − | 0.200350i | ||||
\(772\) | 1.66416e9 | + | 9.43791e9i | 0.130177 | + | 0.738270i | ||||
\(773\) | 9.66149e9 | − | 1.67342e10i | 0.752343 | − | 1.30310i | −0.194341 | − | 0.980934i | \(-0.562257\pi\) |
0.946684 | − | 0.322162i | \(-0.104410\pi\) | |||||||
\(774\) | 1.11550e9 | + | 3.13688e10i | 0.0864723 | + | 2.43167i | ||||
\(775\) | 1.39793e8 | + | 2.42129e8i | 0.0107877 | + | 0.0186849i | ||||
\(776\) | 3.31692e9 | − | 2.78323e9i | 0.254812 | − | 0.213812i | ||||
\(777\) | 2.41704e9 | − | 6.93911e8i | 0.184846 | − | 0.0530677i | ||||
\(778\) | 4.57130e8 | − | 2.59251e9i | 0.0348025 | − | 0.197375i | ||||
\(779\) | −1.07392e10 | − | 9.01122e9i | −0.813934 | − | 0.682971i | ||||
\(780\) | 2.47482e10 | + | 1.10091e10i | 1.86729 | + | 0.830658i | ||||
\(781\) | −2.99077e9 | − | 1.08855e9i | −0.224649 | − | 0.0817654i | ||||
\(782\) | 1.62496e9 | 0.121512 | ||||||||
\(783\) | −2.15976e8 | + | 6.35958e9i | −0.0160782 | + | 0.473437i | ||||
\(784\) | 1.13001e10 | 0.837481 | ||||||||
\(785\) | 3.56801e9 | + | 1.29865e9i | 0.263258 | + | 0.0958182i | ||||
\(786\) | 2.82416e10 | − | 2.05325e10i | 2.07448 | − | 1.50821i | ||||
\(787\) | −1.12957e10 | − | 9.47820e9i | −0.826039 | − | 0.693129i | 0.128339 | − | 0.991730i | \(-0.459035\pi\) |
−0.954378 | + | 0.298601i | \(0.903480\pi\) | |||||||
\(788\) | −2.33472e6 | + | 1.32408e7i | −0.000169978 | + | 0.000963993i | ||||
\(789\) | 9.68458e9 | + | 9.34631e9i | 0.701958 | + | 0.677440i | ||||
\(790\) | 7.15192e9 | − | 6.00118e9i | 0.516093 | − | 0.433054i | ||||
\(791\) | −1.28096e9 | − | 2.21870e9i | −0.0920279 | − | 0.159397i | ||||
\(792\) | −5.63343e8 | + | 7.21997e8i | −0.0402935 | + | 0.0516413i | ||||
\(793\) | 1.46639e10 | − | 2.53985e10i | 1.04422 | − | 1.80864i | ||||
\(794\) | −6.17329e7 | − | 3.50105e8i | −0.00437668 | − | 0.0248214i | ||||
\(795\) | 1.25876e10 | + | 8.76168e8i | 0.888502 | + | 0.0618447i | ||||
\(796\) | 1.35371e10 | − | 4.92711e9i | 0.951328 | − | 0.346255i | ||||
\(797\) | 1.13282e10 | − | 4.12312e9i | 0.792604 | − | 0.288484i | 0.0861857 | − | 0.996279i | \(-0.472532\pi\) |
0.706418 | + | 0.707795i | \(0.250310\pi\) | |||||||
\(798\) | −1.05185e9 | + | 1.56051e9i | −0.0732729 | + | 0.108707i | ||||
\(799\) | −7.63988e8 | − | 4.33279e9i | −0.0529874 | − | 0.300506i | ||||
\(800\) | −1.64757e8 | + | 2.85368e8i | −0.0113771 | + | 0.0197056i | ||||
\(801\) | 9.70101e9 | + | 1.07602e10i | 0.666965 | + | 0.739788i | ||||
\(802\) | 8.94965e9 | + | 1.55012e10i | 0.612626 | + | 1.06110i | ||||
\(803\) | 1.61225e9 | − | 1.35284e9i | 0.109883 | − | 0.0922024i | ||||
\(804\) | −6.52034e9 | + | 2.61873e10i | −0.442460 | + | 1.77703i | ||||
\(805\) | 7.30335e7 | − | 4.14194e8i | 0.00493443 | − | 0.0279845i | ||||
\(806\) | −4.12128e10 | − | 3.45816e10i | −2.77242 | − | 2.32634i | ||||
\(807\) | −2.23748e9 | − | 2.12229e10i | −0.149865 | − | 1.42150i | ||||
\(808\) | −3.28274e9 | − | 1.19482e9i | −0.218925 | − | 0.0796823i | ||||
\(809\) | 2.13627e10 | 1.41852 | 0.709260 | − | 0.704947i | \(-0.249029\pi\) | ||||
0.709260 | + | 0.704947i | \(0.249029\pi\) | |||||||
\(810\) | 2.26133e9 | − | 2.17830e10i | 0.149509 | − | 1.44019i | ||||
\(811\) | −1.36828e10 | −0.900746 | −0.450373 | − | 0.892840i | \(-0.648709\pi\) | ||||
−0.450373 | + | 0.892840i | \(0.648709\pi\) | |||||||
\(812\) | −1.02656e9 | − | 3.73637e8i | −0.0672881 | − | 0.0244909i | ||||
\(813\) | 2.11921e9 | + | 2.01012e10i | 0.138311 | + | 1.31191i | ||||
\(814\) | −8.52179e9 | − | 7.15063e9i | −0.553790 | − | 0.464685i | ||||
\(815\) | −2.19375e9 | + | 1.24414e10i | −0.141950 | + | 0.805038i | ||||
\(816\) | 1.24296e9 | − | 4.99205e9i | 0.0800834 | − | 0.321635i | ||||
\(817\) | 1.33693e10 | − | 1.12182e10i | 0.857694 | − | 0.719691i | ||||
\(818\) | 1.65378e10 | + | 2.86442e10i | 1.05643 | + | 1.82979i | ||||
\(819\) | 1.18187e9 | − | 3.64536e9i | 0.0751757 | − | 0.231871i | ||||
\(820\) | −1.40040e10 | + | 2.42557e10i | −0.886962 | + | 1.53626i | ||||
\(821\) | 2.65273e9 | + | 1.50444e10i | 0.167299 | + | 0.948798i | 0.946663 | + | 0.322227i | \(0.104431\pi\) |
−0.779364 | + | 0.626572i | \(0.784458\pi\) | |||||||
\(822\) | 1.82716e10 | − | 2.71075e10i | 1.14743 | − | 1.70231i | ||||
\(823\) | 1.35210e10 | − | 4.92123e9i | 0.845491 | − | 0.307733i | 0.117290 | − | 0.993098i | \(-0.462579\pi\) |
0.728200 | + | 0.685364i | \(0.240357\pi\) | |||||||
\(824\) | 1.22780e9 | − | 4.46881e8i | 0.0764507 | − | 0.0278258i | ||||
\(825\) | 8.78878e7 | + | 6.11748e6i | 0.00544929 | + | 0.000379301i | ||||
\(826\) | −3.05010e8 | − | 1.72980e9i | −0.0188314 | − | 0.106798i | ||||
\(827\) | 1.23807e10 | − | 2.14441e10i | 0.761162 | − | 1.31837i | −0.181090 | − | 0.983466i | \(-0.557963\pi\) |
0.942252 | − | 0.334905i | \(-0.108704\pi\) | |||||||
\(828\) | −1.48370e9 | − | 3.66555e9i | −0.0908324 | − | 0.224405i | ||||
\(829\) | 8.32792e8 | + | 1.44244e9i | 0.0507687 | + | 0.0879339i | 0.890293 | − | 0.455388i | \(-0.150500\pi\) |
−0.839524 | + | 0.543322i | \(0.817166\pi\) | |||||||
\(830\) | 6.39749e9 | − | 5.36813e9i | 0.388361 | − | 0.325874i | ||||
\(831\) | 3.83338e9 | + | 3.69949e9i | 0.231728 | + | 0.223634i | ||||
\(832\) | 6.52700e9 | − | 3.70164e10i | 0.392900 | − | 2.22825i | ||||
\(833\) | −4.87849e9 | − | 4.09354e9i | −0.292434 | − | 0.245381i | ||||
\(834\) | −4.04035e9 | + | 2.93746e9i | −0.241178 | + | 0.175344i | ||||
\(835\) | 1.19007e9 | + | 4.33150e8i | 0.0707408 | + | 0.0257475i | ||||
\(836\) | 4.41717e9 | 0.261470 | ||||||||
\(837\) | −8.62515e9 | + | 2.14071e10i | −0.508426 | + | 1.26188i | ||||
\(838\) | −3.96224e10 | −2.32587 | ||||||||
\(839\) | −2.88773e10 | − | 1.05105e10i | −1.68807 | − | 0.614407i | −0.693689 | − | 0.720275i | \(-0.744016\pi\) |
−0.994380 | + | 0.105868i | \(0.966238\pi\) | |||||||
\(840\) | 3.95988e8 | + | 1.76154e8i | 0.0230518 | + | 0.0102545i | ||||
\(841\) | −1.02489e10 | − | 8.59984e9i | −0.594143 | − | 0.498545i | ||||
\(842\) | −3.76251e9 | + | 2.13383e10i | −0.217213 | + | 1.23188i | ||||
\(843\) | −9.62877e9 | + | 2.76434e9i | −0.553572 | + | 0.158926i | ||||
\(844\) | −2.40312e10 | + | 2.01646e10i | −1.37587 | + | 1.15449i | ||||
\(845\) | 2.02006e10 | + | 3.49885e10i | 1.15177 | + | 1.99493i | ||||
\(846\) | −1.71062e10 | + | 1.07043e10i | −0.971308 | + | 0.607804i | ||||
\(847\) | −1.04223e9 | + | 1.80520e9i | −0.0589350 | + | 0.102078i | ||||
\(848\) | −2.36074e9 | − | 1.33884e10i | −0.132942 | − | 0.753952i | ||||
\(849\) | 4.60485e9 | + | 9.43369e9i | 0.258249 | + | 0.529060i | ||||
\(850\) | 1.51377e8 | − | 5.50966e7i | 0.00845460 | − | 0.00307722i | ||||
\(851\) | 5.20339e9 | − | 1.89388e9i | 0.289423 | − | 0.105341i | ||||
\(852\) | 6.21241e9 | + | 1.27270e10i | 0.344129 | + | 0.704998i | ||||
\(853\) | −5.12126e8 | − | 2.90441e9i | −0.0282524 | − | 0.160227i | 0.967418 | − | 0.253186i | \(-0.0814786\pi\) |
−0.995670 | + | 0.0929590i | \(0.970367\pi\) | |||||||
\(854\) | 2.03546e9 | − | 3.52551e9i | 0.111830 | − | 0.193696i | ||||
\(855\) | −1.03223e10 | + | 6.45926e9i | −0.564800 | + | 0.353428i | ||||
\(856\) | −1.67687e9 | − | 2.90443e9i | −0.0913780 | − | 0.158271i | ||||
\(857\) | −1.35186e10 | + | 1.13435e10i | −0.733669 | + | 0.615621i | −0.931129 | − | 0.364690i | \(-0.881175\pi\) |
0.197460 | + | 0.980311i | \(0.436731\pi\) | |||||||
\(858\) | −1.62945e10 | + | 4.67802e9i | −0.880716 | + | 0.252846i | ||||
\(859\) | −2.66590e9 | + | 1.51191e10i | −0.143505 | + | 0.813858i | 0.825050 | + | 0.565060i | \(0.191147\pi\) |
−0.968555 | + | 0.248799i | \(0.919964\pi\) | |||||||
\(860\) | −2.67102e10 | − | 2.24125e10i | −1.43197 | − | 1.20156i | ||||
\(861\) | 3.62050e9 | + | 1.61056e9i | 0.193311 | + | 0.0859937i | ||||
\(862\) | 3.73744e10 | + | 1.36032e10i | 1.98746 | + | 0.723378i | ||||
\(863\) | 2.69924e10 | 1.42957 | 0.714783 | − | 0.699346i | \(-0.246525\pi\) | ||||
0.714783 | + | 0.699346i | \(0.246525\pi\) | |||||||
\(864\) | −2.69324e10 | + | 3.81145e9i | −1.42062 | + | 0.201044i | ||||
\(865\) | −9.59005e9 | −0.503807 | ||||||||
\(866\) | 2.67607e10 | + | 9.74008e9i | 1.40018 | + | 0.509624i | ||||
\(867\) | 1.31761e10 | − | 9.57945e9i | 0.686627 | − | 0.499199i | ||||
\(868\) | −3.03527e9 | − | 2.54689e9i | −0.157535 | − | 0.132188i | ||||
\(869\) | −5.38367e8 | + | 3.05323e9i | −0.0278298 | + | 0.157830i | ||||
\(870\) | −9.58620e9 | − | 9.25137e9i | −0.493548 | − | 0.476309i | ||||
\(871\) | −4.41148e10 | + | 3.70167e10i | −2.26215 | + | 1.89817i | ||||
\(872\) | 1.25215e9 | + | 2.16878e9i | 0.0639511 | + | 0.110767i | ||||
\(873\) | −1.29016e10 | − | 3.18738e10i | −0.656285 | − | 1.62138i | ||||
\(874\) | −2.07199e9 | + | 3.58879e9i | −0.104978 | + | 0.181827i | ||||
\(875\) | −4.63778e8 | − | 2.63021e9i | −0.0234035 | − | 0.132728i | ||||
\(876\) | −9.34259e9 | − | 6.50296e8i | −0.469573 | − | 0.0326849i | ||||
\(877\) | 6.39938e9 | − | 2.32918e9i | 0.320361 | − | 0.116602i | −0.176834 | − | 0.984241i | \(-0.556586\pi\) |
0.497195 | + | 0.867639i | \(0.334363\pi\) | |||||||
\(878\) | −6.26628e9 | + | 2.28074e9i | −0.312449 | + | 0.113722i | ||||
\(879\) | 1.30758e10 | − | 1.93991e10i | 0.649394 | − | 0.963430i | ||||
\(880\) | 1.02286e9 | + | 5.80090e9i | 0.0505970 | + | 0.286950i | ||||
\(881\) | 1.35205e10 | − | 2.34182e10i | 0.666159 | − | 1.15382i | −0.312811 | − | 0.949815i | \(-0.601271\pi\) |
0.978970 | − | 0.204005i | \(-0.0653960\pi\) | |||||||
\(882\) | −9.00842e9 | + | 2.77855e10i | −0.442088 | + | 1.36357i | ||||
\(883\) | 1.05917e10 | + | 1.83453e10i | 0.517728 | + | 0.896731i | 0.999788 | + | 0.0205927i | \(0.00655532\pi\) |
−0.482060 | + | 0.876138i | \(0.660111\pi\) | |||||||
\(884\) | −1.25991e10 | + | 1.05719e10i | −0.613420 | + | 0.514720i | ||||
\(885\) | 2.74595e9 | − | 1.10284e10i | 0.133165 | − | 0.534826i | ||||
\(886\) | 2.17440e9 | − | 1.23316e10i | 0.105032 | − | 0.595666i | ||||
\(887\) | −9.56345e9 | − | 8.02469e9i | −0.460132 | − | 0.386096i | 0.383048 | − | 0.923729i | \(-0.374874\pi\) |
−0.843179 | + | 0.537632i | \(0.819319\pi\) | |||||||
\(888\) | 5.98264e8 | + | 5.67465e9i | 0.0286713 | + | 0.271953i | ||||
\(889\) | 5.03297e8 | + | 1.83185e8i | 0.0240253 | + | 0.00874448i | ||||
\(890\) | −3.03317e10 | −1.44222 | ||||||||
\(891\) | 4.07445e9 | + | 6.02399e9i | 0.192973 | + | 0.285307i | ||||
\(892\) | 4.15881e10 | 1.96197 | ||||||||
\(893\) | 1.05433e10 | + | 3.83744e9i | 0.495445 | + | 0.180327i | ||||
\(894\) | −4.80375e9 | − | 4.55645e10i | −0.224853 | − | 2.13278i | ||||
\(895\) | 2.73239e10 | + | 2.29275e10i | 1.27398 | + | 1.06900i | ||||
\(896\) | 1.88565e8 | − | 1.06940e9i | 0.00875755 | − | 0.0496665i | ||||
\(897\) | 2.03883e9 | − | 8.18846e9i | 0.0943209 | − | 0.378816i | ||||
\(898\) | −5.21816e9 | + | 4.37855e9i | −0.240464 | + | 0.201773i | ||||
\(899\) | 7.01982e9 | + | 1.21587e10i | 0.322231 | + | 0.558120i | ||||
\(900\) | −2.62503e8 | − | 2.91165e8i | −0.0120029 | − | 0.0133134i | ||||
\(901\) | −3.83087e9 | + | 6.63527e9i | −0.174486 | + | 0.302219i | ||||
\(902\) | −3.04398e9 | − | 1.72633e10i | −0.138108 | − | 0.783249i | ||||
\(903\) | −2.75722e9 | + | 4.09057e9i | −0.124613 | + | 0.184874i | ||||
\(904\) | 5.46274e9 | − | 1.98827e9i | 0.245935 | − | 0.0895132i | ||||
\(905\) | −1.86027e9 | + | 6.77083e8i | −0.0834269 | + | 0.0303649i | ||||
\(906\) | −1.60584e10 | − | 1.11775e9i | −0.717385 | − | 0.0499340i | ||||
\(907\) | −3.17171e9 | − | 1.79877e10i | −0.141146 | − | 0.800478i | −0.970381 | − | 0.241579i | \(-0.922335\pi\) |
0.829235 | − | 0.558900i | \(-0.188776\pi\) | |||||||
\(908\) | 8.84353e9 | − | 1.53174e10i | 0.392035 | − | 0.679025i | ||||
\(909\) | −1.70661e10 | + | 2.18725e10i | −0.753636 | + | 0.965882i | ||||
\(910\) | 4.01157e9 | + | 6.94824e9i | 0.176469 | + | 0.305654i | ||||
\(911\) | 3.35671e10 | − | 2.81662e10i | 1.47096 | − | 1.23428i | 0.555715 | − | 0.831373i | \(-0.312445\pi\) |
0.915242 | − | 0.402906i | \(-0.132000\pi\) | |||||||
\(912\) | 9.44022e9 | + | 9.11048e9i | 0.412098 | + | 0.397704i | ||||
\(913\) | −4.81576e8 | + | 2.73115e9i | −0.0209420 | + | 0.118768i | ||||
\(914\) | −5.08894e9 | − | 4.27013e9i | −0.220453 | − | 0.184982i | ||||
\(915\) | 2.13049e10 | − | 1.54893e10i | 0.919402 | − | 0.668434i | ||||
\(916\) | 1.52005e9 | + | 5.53254e8i | 0.0653468 | + | 0.0237843i | ||||
\(917\) | 5.48752e9 | 0.235008 | ||||||||
\(918\) | 1.12839e10 | + | 7.03596e9i | 0.481406 | + | 0.300174i | ||||
\(919\) | −3.61024e10 | −1.53438 | −0.767188 | − | 0.641423i | \(-0.778344\pi\) | ||||
−0.767188 | + | 0.641423i | \(0.778344\pi\) | |||||||
\(920\) | 8.96800e8 | + | 3.26408e8i | 0.0379698 | + | 0.0138199i | ||||
\(921\) | 4.14590e9 | + | 1.84429e9i | 0.174868 | + | 0.0777892i | ||||
\(922\) | 2.15433e10 | + | 1.80770e10i | 0.905220 | + | 0.759569i | ||||
\(923\) | −5.24787e9 | + | 2.97621e10i | −0.219673 | + | 1.24583i | ||||
\(924\) | −1.20007e9 | + | 3.44530e8i | −0.0500443 | + | 0.0143673i | ||||
\(925\) | 4.20518e8 | − | 3.52857e8i | 0.0174698 | − | 0.0146589i | ||||
\(926\) | −4.48196e8 | − | 7.76299e8i | −0.0185494 | − | 0.0321285i | ||||
\(927\) | −3.68755e8 | − | 1.03697e10i | −0.0152040 | − | 0.427549i | ||||
\(928\) | −8.27341e9 | + | 1.43300e10i | −0.339834 | + | 0.588609i | ||||
\(929\) | −2.90735e8 | − | 1.64884e9i | −0.0118971 | − | 0.0674721i | 0.978281 | − | 0.207282i | \(-0.0664619\pi\) |
−0.990178 | + | 0.139810i | \(0.955351\pi\) | |||||||
\(930\) | −2.11958e10 | − | 4.34225e10i | −0.864090 | − | 1.77021i | ||||
\(931\) | 1.52613e10 | − | 5.55465e9i | 0.619822 | − | 0.225597i | ||||
\(932\) | 7.95315e9 | − | 2.89471e9i | 0.321798 | − | 0.117125i | ||||
\(933\) | 9.71475e9 | + | 1.99020e10i | 0.391603 | + | 0.802254i | ||||
\(934\) | −5.09150e9 | − | 2.88753e10i | −0.204471 | − | 1.15961i | ||||
\(935\) | 1.65983e9 | − | 2.87491e9i | 0.0664085 | − | 0.115023i | ||||
\(936\) | 7.68041e9 | + | 4.07745e9i | 0.306139 | + | 0.162526i | ||||
\(937\) | −1.44756e10 | − | 2.50725e10i | −0.574842 | − | 0.995655i | −0.996059 | − | 0.0886953i | \(-0.971730\pi\) |
0.421217 | − | 0.906960i | \(-0.361603\pi\) | |||||||
\(938\) | −6.12348e9 | + | 5.13821e9i | −0.242264 | + | 0.203283i | ||||
\(939\) | −3.45149e10 | + | 9.90893e9i | −1.36043 | + | 0.390569i | ||||
\(940\) | 3.89249e9 | − | 2.20754e10i | 0.152855 | − | 0.866884i | ||||
\(941\) | 2.82737e10 | + | 2.37245e10i | 1.10616 | + | 0.928182i | 0.997824 | − | 0.0659324i | \(-0.0210022\pi\) |
0.108340 | + | 0.994114i | \(0.465447\pi\) | |||||||
\(942\) | 9.66178e9 | + | 4.29800e9i | 0.376599 | + | 0.167528i | ||||
\(943\) | 8.19938e9 | + | 2.98433e9i | 0.318413 | + | 0.115893i | ||||
\(944\) | −1.22450e10 | −0.473759 | ||||||||
\(945\) | 2.30058e9 | − | 2.55998e9i | 0.0886800 | − | 0.0986793i | ||||
\(946\) | 2.18228e10 | 0.838093 | ||||||||
\(947\) | −3.34025e9 | − | 1.21575e9i | −0.127807 | − | 0.0465179i | 0.277325 | − | 0.960776i | \(-0.410552\pi\) |
−0.405132 | + | 0.914258i | \(0.632774\pi\) | |||||||
\(948\) | 1.11584e10 | − | 8.11251e9i | 0.425376 | − | 0.309262i | ||||
\(949\) | −1.53091e10 | − | 1.28458e10i | −0.581457 | − | 0.487900i | ||||
\(950\) | −7.13374e7 | + | 4.04575e8i | −0.00269951 | + | 0.0153097i | ||||
\(951\) | −2.47862e10 | − | 2.39204e10i | −0.934496 | − | 0.901855i | ||||
\(952\) | −2.01595e8 | + | 1.69158e8i | −0.00757269 | + | 0.00635424i | ||||
\(953\) | −2.14039e10 | − | 3.70726e10i | −0.801063 | − | 1.38748i | −0.918917 | − | 0.394451i | \(-0.870935\pi\) |
0.117853 | − | 0.993031i | \(-0.462399\pi\) | |||||||
\(954\) | 3.48025e10 | + | 4.86848e9i | 1.29775 | + | 0.181541i | ||||
\(955\) | 1.57949e10 | − | 2.73576e10i | 0.586822 | − | 1.01641i | ||||
\(956\) | 7.22252e9 | + | 4.09610e10i | 0.267354 | + | 1.51624i | ||||
\(957\) | 4.41335e9 | + | 3.07194e8i | 0.162771 | + | 0.0113298i | ||||
\(958\) | 2.76243e10 | − | 1.00544e10i | 1.01511 | − | 0.369469i | ||||
\(959\) | 4.82782e9 | − | 1.75718e9i | 0.176761 | − | 0.0643357i | ||||
\(960\) | 1.88688e10 | − | 2.79934e10i | 0.688326 | − | 1.02119i | ||||
\(961\) | 4.06489e9 | + | 2.30531e10i | 0.147746 | + | 0.837912i | ||||
\(962\) | −5.28157e10 | + | 9.14794e10i | −1.91271 | + | 3.31292i | ||||
\(963\) | −2.60480e10 | + | 5.55408e9i | −0.939901 | + | 0.200410i | ||||
\(964\) | 3.80139e9 | + | 6.58421e9i | 0.136670 | + | 0.236719i | ||||
\(965\) | −1.40702e10 | + | 1.18063e10i | −0.504030 | + | 0.422931i | ||||
\(966\) | 2.83006e8 | − | 1.13662e9i | 0.0101013 | − | 0.0405692i | ||||
\(967\) | −1.25659e9 | + | 7.12650e9i | −0.0446892 | + | 0.253445i | −0.998965 | − | 0.0454820i | \(-0.985518\pi\) |
0.954276 | + | 0.298927i | \(0.0966287\pi\) | |||||||
\(968\) | −3.62332e9 | − | 3.04033e9i | −0.128393 | − | 0.107735i | ||||
\(969\) | −7.75206e8 | − | 7.35299e9i | −0.0273706 | − | 0.259615i | ||||
\(970\) | 6.76496e10 | + | 2.46225e10i | 2.37993 | + | 0.866224i | ||||
\(971\) | 2.14897e9 | 0.0753292 | 0.0376646 | − | 0.999290i | \(-0.488008\pi\) | ||||
0.0376646 | + | 0.999290i | \(0.488008\pi\) | |||||||
\(972\) | 5.56849e9 | − | 3.18783e10i | 0.194494 | − | 1.11343i | ||||
\(973\) | −7.85065e8 | −0.0273219 | ||||||||
\(974\) | −5.26681e9 | − | 1.91696e9i | −0.182638 | − | 0.0664748i | ||||
\(975\) | −8.77096e7 | − | 8.31943e8i | −0.00303062 | − | 0.0287460i | ||||
\(976\) | −2.17401e10 | − | 1.82421e10i | −0.748492 | − | 0.628059i | ||||
\(977\) | 2.08437e8 | − | 1.18211e9i | 0.00715063 | − | 0.0405533i | −0.981024 | − | 0.193888i | \(-0.937890\pi\) |
0.988174 | + | 0.153335i | \(0.0490013\pi\) | |||||||
\(978\) | −8.50080e9 | + | 3.41413e10i | −0.290585 | + | 1.16706i | ||||
\(979\) | 7.71597e9 | − | 6.47447e9i | 0.262815 | − | 0.220528i | ||||
\(980\) | −1.62234e10 | − | 2.80998e10i | −0.550619 | − | 0.953700i | ||||
\(981\) | 1.94505e10 | − | 4.14732e9i | 0.657791 | − | 0.140257i | ||||
\(982\) | 2.81104e9 | − | 4.86886e9i | 0.0947276 | − | 0.164073i | ||||
\(983\) | 1.00445e10 | + | 5.69651e10i | 0.337279 | + | 1.91281i | 0.403456 | + | 0.914999i | \(0.367809\pi\) |
−0.0661763 | + | 0.997808i | \(0.521080\pi\) | |||||||
\(984\) | −5.02562e9 | + | 7.45593e9i | −0.168154 | + | 0.249470i | ||||
\(985\) | −2.42144e7 | + | 8.81331e6i | −0.000807321 | + | 0.000293841i | ||||
\(986\) | 7.60150e9 | − | 2.76672e9i | 0.252540 | − | 0.0919170i | ||||
\(987\) | −3.16374e9 | − | 2.20214e8i | −0.104735 | − | 0.00729012i | ||||
\(988\) | −7.28334e9 | − | 4.13059e10i | −0.240260 | − | 1.36258i | ||||
\(989\) | −5.43131e9 | + | 9.40731e9i | −0.178533 | + | 0.309228i | ||||
\(990\) | −1.50791e10 | − | 2.10940e9i | −0.493916 | − | 0.0690934i | ||||
\(991\) | −6.98221e9 | − | 1.20935e10i | −0.227895 | − | 0.394726i | 0.729289 | − | 0.684206i | \(-0.239851\pi\) |
−0.957184 | + | 0.289480i | \(0.906518\pi\) | |||||||
\(992\) | −4.59740e10 | + | 3.85768e10i | −1.49528 | + | 1.25469i | ||||
\(993\) | −7.11406e8 | − | 6.86558e8i | −0.0230566 | − | 0.0222513i | ||||
\(994\) | −7.28444e8 | + | 4.13121e9i | −0.0235258 | + | 0.133421i | ||||
\(995\) | 2.11503e10 | + | 1.77472e10i | 0.680670 | + | 0.571150i | ||||
\(996\) | 9.98134e9 | − | 7.25674e9i | 0.320097 | − | 0.232720i | ||||
\(997\) | 1.11597e9 | + | 4.06178e8i | 0.0356630 | + | 0.0129803i | 0.359790 | − | 0.933033i | \(-0.382848\pi\) |
−0.324127 | + | 0.946014i | \(0.605071\pi\) | |||||||
\(998\) | 1.91209e10 | 0.608907 | ||||||||
\(999\) | 4.43334e10 | + | 9.37892e9i | 1.40686 | + | 0.297628i |
(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 | 27.8.e.a.4.4 | ✓ | 120 | |
3.2 | odd | 2 | 81.8.e.a.64.17 | 120 | |||
27.7 | even | 9 | inner | 27.8.e.a.7.4 | yes | 120 | |
27.20 | odd | 18 | 81.8.e.a.19.17 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.8.e.a.4.4 | ✓ | 120 | 1.1 | even | 1 | trivial | |
27.8.e.a.7.4 | yes | 120 | 27.7 | even | 9 | inner | |
81.8.e.a.19.17 | 120 | 27.20 | odd | 18 | |||
81.8.e.a.64.17 | 120 | 3.2 | odd | 2 |