Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,10,Mod(30,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.30");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.u (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: | \(46.8682610909\) |
Analytic rank: | \(0\) |
Dimension: | \(164\) |
Relative dimension: | \(82\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 30.19 | ||
Character | \(\chi\) | \(=\) | 91.30 |
Dual form | 91.10.u.a.88.19 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −23.7092 | + | 13.6885i | −1.04781 | + | 0.604953i | −0.922035 | − | 0.387106i | \(-0.873475\pi\) |
−0.125774 | + | 0.992059i | \(0.540141\pi\) | |||||||
\(3\) | −252.262 | −1.79807 | −0.899035 | − | 0.437876i | \(-0.855731\pi\) | ||||
−0.899035 | + | 0.437876i | \(0.855731\pi\) | |||||||
\(4\) | 118.751 | − | 205.683i | 0.231935 | − | 0.401724i | ||||
\(5\) | −1023.39 | − | 590.853i | −0.732277 | − | 0.422780i | 0.0869777 | − | 0.996210i | \(-0.472279\pi\) |
−0.819255 | + | 0.573430i | \(0.805612\pi\) | |||||||
\(6\) | 5980.94 | − | 3453.10i | 1.88403 | − | 1.08775i | ||||
\(7\) | 5001.22 | + | 3916.81i | 0.787290 | + | 0.616583i | ||||
\(8\) | − | 7514.94i | − | 0.648666i | ||||||
\(9\) | 43953.3 | 2.23306 | ||||||||
\(10\) | 32351.6 | 1.02305 | ||||||||
\(11\) | − | 90197.3i | − | 1.85749i | −0.370719 | − | 0.928745i | \(-0.620889\pi\) | ||
0.370719 | − | 0.928745i | \(-0.379111\pi\) | |||||||
\(12\) | −29956.4 | + | 51886.0i | −0.417036 | + | 0.722328i | ||||
\(13\) | −78918.7 | + | 66153.9i | −0.766363 | + | 0.642408i | ||||
\(14\) | −172190. | − | 24405.2i | −1.19793 | − | 0.169788i | ||||
\(15\) | 258162. | + | 149050.i | 1.31669 | + | 0.760189i | ||||
\(16\) | 163669. | + | 283483.i | 0.624347 | + | 1.08140i | ||||
\(17\) | 100819. | − | 174624.i | 0.292767 | − | 0.507087i | −0.681696 | − | 0.731636i | \(-0.738757\pi\) |
0.974463 | + | 0.224548i | \(0.0720906\pi\) | |||||||
\(18\) | −1.04210e6 | + | 601655.i | −2.33982 | + | 1.35090i | ||||
\(19\) | 1.04004e6i | 1.83088i | 0.402451 | + | 0.915442i | \(0.368158\pi\) | ||||
−0.402451 | + | 0.915442i | \(0.631842\pi\) | |||||||
\(20\) | −243057. | + | 140329.i | −0.339682 | + | 0.196115i | ||||
\(21\) | −1.26162e6 | − | 988064.i | −1.41560 | − | 1.10866i | ||||
\(22\) | 1.23467e6 | + | 2.13851e6i | 1.12369 | + | 1.94629i | ||||
\(23\) | −631911. | − | 1.09450e6i | −0.470848 | − | 0.815532i | 0.528596 | − | 0.848873i | \(-0.322719\pi\) |
−0.999444 | + | 0.0333410i | \(0.989385\pi\) | |||||||
\(24\) | 1.89574e6i | 1.16635i | ||||||||
\(25\) | −278347. | − | 482111.i | −0.142514 | − | 0.246841i | ||||
\(26\) | 965549. | − | 2.64874e6i | 0.414376 | − | 1.13673i | ||||
\(27\) | −6.12248e6 | −2.21713 | ||||||||
\(28\) | 1.39952e6 | − | 563539.i | 0.430297 | − | 0.173266i | ||||
\(29\) | −1.88485e6 | + | 3.26465e6i | −0.494863 | + | 0.857127i | −0.999982 | − | 0.00592200i | \(-0.998115\pi\) |
0.505120 | + | 0.863049i | \(0.331448\pi\) | |||||||
\(30\) | −8.16110e6 | −1.83951 | ||||||||
\(31\) | 985061. | − | 568726.i | 0.191574 | − | 0.110605i | −0.401145 | − | 0.916014i | \(-0.631388\pi\) |
0.592719 | + | 0.805409i | \(0.298054\pi\) | |||||||
\(32\) | −4.42876e6 | − | 2.55694e6i | −0.746632 | − | 0.431068i | ||||
\(33\) | 2.27534e7i | 3.33990i | ||||||||
\(34\) | 5.52025e6i | 0.708441i | ||||||||
\(35\) | −2.80393e6 | − | 6.96341e6i | −0.315835 | − | 0.784360i | ||||
\(36\) | 5.21950e6 | − | 9.04043e6i | 0.517925 | − | 0.897073i | ||||
\(37\) | 3.43634e6 | − | 1.98397e6i | 0.301432 | − | 0.174032i | −0.341654 | − | 0.939826i | \(-0.610987\pi\) |
0.643086 | + | 0.765794i | \(0.277654\pi\) | |||||||
\(38\) | −1.42367e7 | − | 2.46586e7i | −1.10760 | − | 1.91842i | ||||
\(39\) | 1.99082e7 | − | 1.66882e7i | 1.37798 | − | 1.15509i | ||||
\(40\) | −4.44023e6 | + | 7.69070e6i | −0.274243 | + | 0.475003i | ||||
\(41\) | 8.18221e6 | + | 4.72400e6i | 0.452213 | + | 0.261085i | 0.708764 | − | 0.705445i | \(-0.249253\pi\) |
−0.256551 | + | 0.966531i | \(0.582586\pi\) | |||||||
\(42\) | 4.34371e7 | + | 6.15652e6i | 2.15397 | + | 0.305291i | ||||
\(43\) | 1.35008e7 | + | 2.33841e7i | 0.602215 | + | 1.04307i | 0.992485 | + | 0.122367i | \(0.0390485\pi\) |
−0.390270 | + | 0.920701i | \(0.627618\pi\) | |||||||
\(44\) | −1.85520e7 | − | 1.07110e7i | −0.746198 | − | 0.430818i | ||||
\(45\) | −4.49813e7 | − | 2.59700e7i | −1.63522 | − | 0.944093i | ||||
\(46\) | 2.99642e7 | + | 1.72998e7i | 0.986717 | + | 0.569681i | ||||
\(47\) | −4.67496e7 | − | 2.69909e7i | −1.39745 | − | 0.806821i | −0.403329 | − | 0.915055i | \(-0.632147\pi\) |
−0.994125 | + | 0.108234i | \(0.965480\pi\) | |||||||
\(48\) | −4.12875e7 | − | 7.15121e7i | −1.12262 | − | 1.94444i | ||||
\(49\) | 9.67077e6 | + | 3.91777e7i | 0.239651 | + | 0.970859i | ||||
\(50\) | 1.31988e7 | + | 7.62032e6i | 0.298654 | + | 0.172428i | ||||
\(51\) | −2.54328e7 | + | 4.40510e7i | −0.526416 | + | 0.911779i | ||||
\(52\) | 4.23506e6 | + | 2.40880e7i | 0.0803238 | + | 0.456863i | ||||
\(53\) | 1.68826e7 | + | 2.92416e7i | 0.293899 | + | 0.509049i | 0.974728 | − | 0.223394i | \(-0.0717136\pi\) |
−0.680829 | + | 0.732443i | \(0.738380\pi\) | |||||||
\(54\) | 1.45159e8 | − | 8.38077e7i | 2.32313 | − | 1.34126i | ||||
\(55\) | −5.32934e7 | + | 9.23068e7i | −0.785310 | + | 1.36020i | ||||
\(56\) | 2.94346e7 | − | 3.75839e7i | 0.399956 | − | 0.510688i | ||||
\(57\) | − | 2.62364e8i | − | 3.29206i | ||||||
\(58\) | − | 1.03203e8i | − | 1.19747i | ||||||
\(59\) | 7.01181e7 | + | 4.04827e7i | 0.753348 | + | 0.434946i | 0.826902 | − | 0.562345i | \(-0.190101\pi\) |
−0.0735541 | + | 0.997291i | \(0.523434\pi\) | |||||||
\(60\) | 6.13140e7 | − | 3.53997e7i | 0.610772 | − | 0.352629i | ||||
\(61\) | 1.00389e8 | 0.928333 | 0.464166 | − | 0.885748i | \(-0.346354\pi\) | ||||
0.464166 | + | 0.885748i | \(0.346354\pi\) | |||||||
\(62\) | −1.55700e7 | + | 2.69681e7i | −0.133822 | + | 0.231786i | ||||
\(63\) | 2.19820e8 | + | 1.72157e8i | 1.75806 | + | 1.37687i | ||||
\(64\) | −2.75939e7 | −0.205591 | ||||||||
\(65\) | 1.19852e8 | − | 2.10718e7i | 0.832787 | − | 0.146417i | ||||
\(66\) | −3.11460e8 | − | 5.39465e8i | −2.02048 | − | 3.49958i | ||||
\(67\) | − | 6.20288e7i | − | 0.376059i | −0.982163 | − | 0.188030i | \(-0.939790\pi\) | ||
0.982163 | − | 0.188030i | \(-0.0602101\pi\) | |||||||
\(68\) | −2.39447e7 | − | 4.14734e7i | −0.135806 | − | 0.235223i | ||||
\(69\) | 1.59407e8 | + | 2.76102e8i | 0.846618 | + | 1.46639i | ||||
\(70\) | 1.61798e8 | + | 1.26715e8i | 0.805435 | + | 0.630794i | ||||
\(71\) | −4.41361e7 | + | 2.54820e7i | −0.206125 | + | 0.119006i | −0.599509 | − | 0.800368i | \(-0.704638\pi\) |
0.393384 | + | 0.919374i | \(0.371304\pi\) | |||||||
\(72\) | − | 3.30307e8i | − | 1.44851i | ||||||
\(73\) | 4.14534e7 | − | 2.39331e7i | 0.170847 | − | 0.0986385i | −0.412138 | − | 0.911121i | \(-0.635218\pi\) |
0.582985 | + | 0.812483i | \(0.301885\pi\) | |||||||
\(74\) | −5.43153e7 | + | 9.40769e7i | −0.210562 | + | 0.364704i | ||||
\(75\) | 7.02165e7 | + | 1.21619e8i | 0.256250 | + | 0.443838i | ||||
\(76\) | 2.13919e8 | + | 1.23506e8i | 0.735509 | + | 0.424647i | ||||
\(77\) | 3.53286e8 | − | 4.51096e8i | 1.14530 | − | 1.46238i | ||||
\(78\) | −2.43572e8 | + | 6.68177e8i | −0.745077 | + | 2.04393i | ||||
\(79\) | −2.21735e8 | + | 3.84056e8i | −0.640489 | + | 1.10936i | 0.344835 | + | 0.938663i | \(0.387935\pi\) |
−0.985324 | + | 0.170696i | \(0.945398\pi\) | |||||||
\(80\) | − | 3.86817e8i | − | 1.05585i | ||||||
\(81\) | 6.79339e8 | 1.75349 | ||||||||
\(82\) | −2.58658e8 | −0.631777 | ||||||||
\(83\) | 1.90644e8i | 0.440933i | 0.975395 | + | 0.220466i | \(0.0707580\pi\) | ||||
−0.975395 | + | 0.220466i | \(0.929242\pi\) | |||||||
\(84\) | −3.53046e8 | + | 1.42160e8i | −0.773704 | + | 0.311544i | ||||
\(85\) | −2.06354e8 | + | 1.19138e8i | −0.428773 | + | 0.247552i | ||||
\(86\) | −6.40187e8 | − | 3.69612e8i | −1.26201 | − | 0.728623i | ||||
\(87\) | 4.75475e8 | − | 8.23548e8i | 0.889798 | − | 1.54118i | ||||
\(88\) | −6.77828e8 | −1.20489 | ||||||||
\(89\) | −5.33163e8 | + | 3.07822e8i | −0.900751 | + | 0.520049i | −0.877444 | − | 0.479679i | \(-0.840753\pi\) |
−0.0233076 | + | 0.999728i | \(0.507420\pi\) | |||||||
\(90\) | 1.42196e9 | 2.28453 | ||||||||
\(91\) | −6.53802e8 | + | 2.17408e7i | −0.999448 | + | 0.0332345i | ||||
\(92\) | −3.00160e8 | −0.436825 | ||||||||
\(93\) | −2.48494e8 | + | 1.43468e8i | −0.344463 | + | 0.198876i | ||||
\(94\) | 1.47786e9 | 1.95235 | ||||||||
\(95\) | 6.14514e8 | − | 1.06437e9i | 0.774061 | − | 1.34071i | ||||
\(96\) | 1.11721e9 | + | 6.45021e8i | 1.34250 | + | 0.775092i | ||||
\(97\) | 4.05942e8 | − | 2.34370e8i | 0.465576 | − | 0.268801i | −0.248810 | − | 0.968552i | \(-0.580039\pi\) |
0.714386 | + | 0.699752i | \(0.246706\pi\) | |||||||
\(98\) | −7.65570e8 | − | 7.96493e8i | −0.838432 | − | 0.872297i | ||||
\(99\) | − | 3.96447e9i | − | 4.14789i | ||||||
\(100\) | −1.32216e8 | −0.132216 | ||||||||
\(101\) | −1.52599e8 | −0.145917 | −0.0729584 | − | 0.997335i | \(-0.523244\pi\) | ||||
−0.0729584 | + | 0.997335i | \(0.523244\pi\) | |||||||
\(102\) | − | 1.39255e9i | − | 1.27383i | ||||||
\(103\) | 1.73506e8 | − | 3.00522e8i | 0.151897 | − | 0.263092i | −0.780028 | − | 0.625744i | \(-0.784795\pi\) |
0.931925 | + | 0.362652i | \(0.118129\pi\) | |||||||
\(104\) | 4.97143e8 | + | 5.93069e8i | 0.416708 | + | 0.497113i | ||||
\(105\) | 7.07325e8 | + | 1.75661e9i | 0.567894 | + | 1.41034i | ||||
\(106\) | −8.00548e8 | − | 4.62196e8i | −0.615901 | − | 0.355591i | ||||
\(107\) | 5.94234e8 | + | 1.02924e9i | 0.438259 | + | 0.759086i | 0.997555 | − | 0.0698812i | \(-0.0222620\pi\) |
−0.559297 | + | 0.828968i | \(0.688929\pi\) | |||||||
\(108\) | −7.27051e8 | + | 1.25929e9i | −0.514230 | + | 0.890673i | ||||
\(109\) | 4.62090e8 | − | 2.66788e8i | 0.313550 | − | 0.181028i | −0.334964 | − | 0.942231i | \(-0.608724\pi\) |
0.648514 | + | 0.761203i | \(0.275391\pi\) | |||||||
\(110\) | − | 2.91803e9i | − | 1.90030i | ||||||
\(111\) | −8.66860e8 | + | 5.00482e8i | −0.541996 | + | 0.312921i | ||||
\(112\) | −2.91805e8 | + | 2.05882e9i | −0.175231 | + | 1.23634i | ||||
\(113\) | −1.47317e8 | − | 2.55161e8i | −0.0849965 | − | 0.147218i | 0.820393 | − | 0.571800i | \(-0.193755\pi\) |
−0.905390 | + | 0.424581i | \(0.860421\pi\) | |||||||
\(114\) | 3.59137e9 | + | 6.22044e9i | 1.99154 | + | 3.44945i | ||||
\(115\) | 1.49347e9i | 0.796261i | ||||||||
\(116\) | 4.47654e8 | + | 7.75360e8i | 0.229552 | + | 0.397596i | ||||
\(117\) | −3.46874e9 | + | 2.90768e9i | −1.71133 | + | 1.43453i | ||||
\(118\) | −2.21659e9 | −1.05249 | ||||||||
\(119\) | 1.18819e9 | − | 4.78442e8i | 0.543154 | − | 0.218710i | ||||
\(120\) | 1.12010e9 | − | 1.94008e9i | 0.493108 | − | 0.854089i | ||||
\(121\) | −5.77761e9 | −2.45027 | ||||||||
\(122\) | −2.38015e9 | + | 1.37418e9i | −0.972715 | + | 0.561597i | ||||
\(123\) | −2.06406e9 | − | 1.19169e9i | −0.813111 | − | 0.469450i | ||||
\(124\) | − | 2.70147e8i | − | 0.102613i | ||||||
\(125\) | 2.96587e9i | 1.08657i | ||||||||
\(126\) | −7.56833e9 | − | 1.07269e9i | −2.67505 | − | 0.379147i | ||||
\(127\) | 2.23365e9 | − | 3.86880e9i | 0.761902 | − | 1.31965i | −0.179967 | − | 0.983673i | \(-0.557599\pi\) |
0.941869 | − | 0.335980i | \(-0.109068\pi\) | |||||||
\(128\) | 2.92175e9 | − | 1.68687e9i | 0.962052 | − | 0.555441i | ||||
\(129\) | −3.40575e9 | − | 5.89893e9i | −1.08283 | − | 1.87551i | ||||
\(130\) | −2.55315e9 | + | 2.14019e9i | −0.784026 | + | 0.657214i | ||||
\(131\) | −2.11902e9 | + | 3.67025e9i | −0.628658 | + | 1.08887i | 0.359163 | + | 0.933275i | \(0.383062\pi\) |
−0.987821 | + | 0.155593i | \(0.950271\pi\) | |||||||
\(132\) | 4.67998e9 | + | 2.70199e9i | 1.34172 | + | 0.774641i | ||||
\(133\) | −4.07366e9 | + | 5.20149e9i | −1.12889 | + | 1.44144i | ||||
\(134\) | 8.49082e8 | + | 1.47065e9i | 0.227498 | + | 0.394038i | ||||
\(135\) | 6.26568e9 | + | 3.61749e9i | 1.62355 | + | 0.937358i | ||||
\(136\) | −1.31229e9 | − | 7.57649e8i | −0.328930 | − | 0.189908i | ||||
\(137\) | −5.60185e9 | − | 3.23423e9i | −1.35859 | − | 0.784383i | −0.369158 | − | 0.929367i | \(-0.620354\pi\) |
−0.989434 | + | 0.144984i | \(0.953687\pi\) | |||||||
\(138\) | −7.55884e9 | − | 4.36410e9i | −1.77419 | − | 1.02433i | ||||
\(139\) | 9.04003e8 | + | 1.56578e9i | 0.205401 | + | 0.355766i | 0.950261 | − | 0.311456i | \(-0.100817\pi\) |
−0.744859 | + | 0.667222i | \(0.767483\pi\) | |||||||
\(140\) | −1.76522e9 | − | 2.50192e8i | −0.388350 | − | 0.0550424i | ||||
\(141\) | 1.17932e10 | + | 6.80879e9i | 2.51272 | + | 1.45072i | ||||
\(142\) | 6.97620e8 | − | 1.20831e9i | 0.143986 | − | 0.249392i | ||||
\(143\) | 5.96691e9 | + | 7.11825e9i | 1.19327 | + | 1.42351i | ||||
\(144\) | 7.19379e9 | + | 1.24600e10i | 1.39420 | + | 2.41483i | ||||
\(145\) | 3.85786e9 | − | 2.22733e9i | 0.724753 | − | 0.418436i | ||||
\(146\) | −6.55218e8 | + | 1.13487e9i | −0.119343 | + | 0.206709i | ||||
\(147\) | −2.43957e9 | − | 9.88305e9i | −0.430909 | − | 1.74567i | ||||
\(148\) | − | 9.42395e8i | − | 0.161456i | ||||||
\(149\) | 3.30580e9i | 0.549463i | 0.961521 | + | 0.274731i | \(0.0885889\pi\) | ||||
−0.961521 | + | 0.274731i | \(0.911411\pi\) | |||||||
\(150\) | −3.32956e9 | − | 1.92232e9i | −0.537002 | − | 0.310038i | ||||
\(151\) | 5.64867e9 | − | 3.26126e9i | 0.884199 | − | 0.510492i | 0.0121583 | − | 0.999926i | \(-0.496130\pi\) |
0.872041 | + | 0.489434i | \(0.162796\pi\) | |||||||
\(152\) | 7.81587e9 | 1.18763 | ||||||||
\(153\) | 4.43133e9 | − | 7.67528e9i | 0.653766 | − | 1.13236i | ||||
\(154\) | −2.20129e9 | + | 1.55311e10i | −0.315379 | + | 2.22515i | ||||
\(155\) | −1.34413e9 | −0.187047 | ||||||||
\(156\) | −1.06835e9 | − | 6.07651e9i | −0.144428 | − | 0.821473i | ||||
\(157\) | 5.08563e8 | + | 8.80857e8i | 0.0668030 | + | 0.115706i | 0.897492 | − | 0.441030i | \(-0.145387\pi\) |
−0.830689 | + | 0.556736i | \(0.812053\pi\) | |||||||
\(158\) | − | 1.21409e10i | − | 1.54986i | ||||||
\(159\) | −4.25885e9 | − | 7.37655e9i | −0.528452 | − | 0.915306i | ||||
\(160\) | 3.02156e9 | + | 5.23349e9i | 0.364494 | + | 0.631323i | ||||
\(161\) | 1.12663e9 | − | 7.94892e9i | 0.132150 | − | 0.932377i | ||||
\(162\) | −1.61066e10 | + | 9.29915e9i | −1.83733 | + | 1.06078i | ||||
\(163\) | − | 5.63785e9i | − | 0.625561i | −0.949825 | − | 0.312780i | \(-0.898740\pi\) | ||
0.949825 | − | 0.312780i | \(-0.101260\pi\) | |||||||
\(164\) | 1.94329e9 | − | 1.12196e9i | 0.209768 | − | 0.121110i | ||||
\(165\) | 1.34439e10 | − | 2.32855e10i | 1.41204 | − | 2.44573i | ||||
\(166\) | −2.60964e9 | − | 4.52003e9i | −0.266744 | − | 0.462013i | ||||
\(167\) | −2.16595e9 | − | 1.25051e9i | −0.215489 | − | 0.124412i | 0.388371 | − | 0.921503i | \(-0.373038\pi\) |
−0.603860 | + | 0.797091i | \(0.706371\pi\) | |||||||
\(168\) | −7.42525e9 | + | 9.48100e9i | −0.719150 | + | 0.918253i | ||||
\(169\) | 1.85181e9 | − | 1.04416e10i | 0.174625 | − | 0.984635i | ||||
\(170\) | 3.26166e9 | − | 5.64936e9i | 0.299515 | − | 0.518775i | ||||
\(171\) | 4.57134e10i | 4.08847i | ||||||||
\(172\) | 6.41293e9 | 0.558700 | ||||||||
\(173\) | −1.08703e9 | −0.0922643 | −0.0461321 | − | 0.998935i | \(-0.514690\pi\) | ||||
−0.0461321 | + | 0.998935i | \(0.514690\pi\) | |||||||
\(174\) | 2.60342e10i | 2.15314i | ||||||||
\(175\) | 4.96265e8 | − | 3.50138e9i | 0.0399984 | − | 0.282207i | ||||
\(176\) | 2.55694e10 | − | 1.47625e10i | 2.00869 | − | 1.15972i | ||||
\(177\) | −1.76881e10 | − | 1.02123e10i | −1.35457 | − | 0.782064i | ||||
\(178\) | 8.42725e9 | − | 1.45964e10i | 0.629210 | − | 1.08982i | ||||
\(179\) | 6.14908e8 | 0.0447684 | 0.0223842 | − | 0.999749i | \(-0.492874\pi\) | ||||
0.0223842 | + | 0.999749i | \(0.492874\pi\) | |||||||
\(180\) | −1.06831e10 | + | 6.16791e9i | −0.758530 | + | 0.437937i | ||||
\(181\) | 2.75898e9 | 0.191071 | 0.0955355 | − | 0.995426i | \(-0.469544\pi\) | ||||
0.0955355 | + | 0.995426i | \(0.469544\pi\) | |||||||
\(182\) | 1.52035e10 | − | 9.46504e9i | 1.02712 | − | 0.639442i | ||||
\(183\) | −2.53245e10 | −1.66921 | ||||||||
\(184\) | −8.22512e9 | + | 4.74878e9i | −0.529008 | + | 0.305423i | ||||
\(185\) | −4.68895e9 | −0.294309 | ||||||||
\(186\) | 3.92773e9 | − | 6.80303e9i | 0.240621 | − | 0.416768i | ||||
\(187\) | −1.57506e10 | − | 9.09360e9i | −0.941910 | − | 0.543812i | ||||
\(188\) | −1.11031e10 | + | 6.41039e9i | −0.648238 | + | 0.374261i | ||||
\(189\) | −3.06199e10 | − | 2.39806e10i | −1.74552 | − | 1.36704i | ||||
\(190\) | 3.36471e10i | 1.87308i | ||||||||
\(191\) | 3.61726e10 | 1.96666 | 0.983330 | − | 0.181828i | \(-0.0582015\pi\) | ||||
0.983330 | + | 0.181828i | \(0.0582015\pi\) | |||||||
\(192\) | 6.96091e9 | 0.369667 | ||||||||
\(193\) | − | 2.23809e10i | − | 1.16110i | −0.814225 | − | 0.580549i | \(-0.802838\pi\) | ||
0.814225 | − | 0.580549i | \(-0.197162\pi\) | |||||||
\(194\) | −6.41637e9 | + | 1.11135e10i | −0.325223 | + | 0.563303i | ||||
\(195\) | −3.02341e10 | + | 5.31562e9i | −1.49741 | + | 0.263268i | ||||
\(196\) | 9.20658e9 | + | 2.66327e9i | 0.445601 | + | 0.128903i | ||||
\(197\) | −2.81017e10 | − | 1.62245e10i | −1.32933 | − | 0.767491i | −0.344137 | − | 0.938920i | \(-0.611828\pi\) |
−0.985197 | + | 0.171429i | \(0.945162\pi\) | |||||||
\(198\) | 5.42677e10 | + | 9.39944e10i | 2.50927 | + | 4.34619i | ||||
\(199\) | 1.07970e10 | − | 1.87009e10i | 0.488048 | − | 0.845324i | −0.511857 | − | 0.859070i | \(-0.671042\pi\) |
0.999906 | + | 0.0137463i | \(0.00437572\pi\) | |||||||
\(200\) | −3.62304e9 | + | 2.09176e9i | −0.160117 | + | 0.0924438i | ||||
\(201\) | 1.56475e10i | 0.676181i | ||||||||
\(202\) | 3.61800e9 | − | 2.08885e9i | 0.152893 | − | 0.0882728i | ||||
\(203\) | −2.22135e10 | + | 8.94463e9i | −0.918090 | + | 0.369684i | ||||
\(204\) | 6.04034e9 | + | 1.04622e10i | 0.244189 | + | 0.422948i | ||||
\(205\) | −5.58238e9 | − | 9.66897e9i | −0.220763 | − | 0.382374i | ||||
\(206\) | 9.50018e9i | 0.367561i | ||||||||
\(207\) | −2.77746e10 | − | 4.81070e10i | −1.05143 | − | 1.82113i | ||||
\(208\) | −3.16700e10 | − | 1.15447e10i | −1.17318 | − | 0.427661i | ||||
\(209\) | 9.38092e10 | 3.40085 | ||||||||
\(210\) | −4.08154e10 | − | 3.19655e10i | −1.44823 | − | 1.13421i | ||||
\(211\) | 2.20586e10 | − | 3.82066e10i | 0.766137 | − | 1.32699i | −0.173506 | − | 0.984833i | \(-0.555509\pi\) |
0.939643 | − | 0.342156i | \(-0.111157\pi\) | |||||||
\(212\) | 8.01931e9 | 0.272663 | ||||||||
\(213\) | 1.11339e10 | − | 6.42814e9i | 0.370628 | − | 0.213982i | ||||
\(214\) | −2.81776e10 | − | 1.62684e10i | −0.918423 | − | 0.530252i | ||||
\(215\) | − | 3.19080e10i | − | 1.01842i | ||||||
\(216\) | 4.60101e10i | 1.43817i | ||||||||
\(217\) | 7.15410e9 | + | 1.01398e9i | 0.219021 | + | 0.0310428i | ||||
\(218\) | −7.30386e9 | + | 1.26507e10i | −0.219027 | + | 0.379366i | ||||
\(219\) | −1.04571e10 | + | 6.03743e9i | −0.307195 | + | 0.177359i | ||||
\(220\) | 1.26573e10 | + | 2.19230e10i | 0.364282 | + | 0.630956i | ||||
\(221\) | 3.59554e9 | + | 2.04506e10i | 0.101391 | + | 0.576689i | ||||
\(222\) | 1.37017e10 | − | 2.37321e10i | 0.378605 | − | 0.655763i | ||||
\(223\) | 4.27411e10 | + | 2.46766e10i | 1.15737 | + | 0.668210i | 0.950673 | − | 0.310194i | \(-0.100394\pi\) |
0.206700 | + | 0.978404i | \(0.433727\pi\) | |||||||
\(224\) | −1.21341e10 | − | 3.01344e10i | −0.322027 | − | 0.799737i | ||||
\(225\) | −1.22343e10 | − | 2.11904e10i | −0.318242 | − | 0.551211i | ||||
\(226\) | 6.98556e9 | + | 4.03312e9i | 0.178120 | + | 0.102838i | ||||
\(227\) | 2.16068e10 | + | 1.24747e10i | 0.540100 | + | 0.311827i | 0.745119 | − | 0.666931i | \(-0.232392\pi\) |
−0.205019 | + | 0.978758i | \(0.565726\pi\) | |||||||
\(228\) | −5.39637e10 | − | 3.11560e10i | −1.32250 | − | 0.763545i | ||||
\(229\) | −1.77700e10 | − | 1.02595e10i | −0.427000 | − | 0.246529i | 0.271068 | − | 0.962560i | \(-0.412623\pi\) |
−0.698068 | + | 0.716032i | \(0.745957\pi\) | |||||||
\(230\) | −2.04433e10 | − | 3.54089e10i | −0.481700 | − | 0.834329i | ||||
\(231\) | −8.91207e10 | + | 1.13795e11i | −2.05933 | + | 2.62947i | ||||
\(232\) | 2.45336e10 | + | 1.41645e10i | 0.555989 | + | 0.321000i | ||||
\(233\) | 1.64970e10 | − | 2.85737e10i | 0.366694 | − | 0.635133i | −0.622352 | − | 0.782737i | \(-0.713823\pi\) |
0.989047 | + | 0.147604i | \(0.0471562\pi\) | |||||||
\(234\) | 4.24391e10 | − | 1.16421e11i | 0.925326 | − | 2.53839i | ||||
\(235\) | 3.18953e10 | + | 5.52443e10i | 0.682216 | + | 1.18163i | ||||
\(236\) | 1.66532e10 | − | 9.61471e9i | 0.349456 | − | 0.201759i | ||||
\(237\) | 5.59353e10 | − | 9.68828e10i | 1.15164 | − | 1.99471i | ||||
\(238\) | −2.16218e10 | + | 2.76080e10i | −0.436812 | + | 0.557748i | ||||
\(239\) | 5.53506e10i | 1.09732i | 0.836047 | + | 0.548658i | \(0.184861\pi\) | ||||
−0.836047 | + | 0.548658i | \(0.815139\pi\) | |||||||
\(240\) | 9.75794e10i | 1.89849i | ||||||||
\(241\) | 2.36447e10 | + | 1.36513e10i | 0.451499 | + | 0.260673i | 0.708463 | − | 0.705748i | \(-0.249389\pi\) |
−0.256964 | + | 0.966421i | \(0.582722\pi\) | |||||||
\(242\) | 1.36982e11 | − | 7.90869e10i | 2.56741 | − | 1.48230i | ||||
\(243\) | −5.08629e10 | −0.935779 | ||||||||
\(244\) | 1.19213e10 | − | 2.06484e10i | 0.215313 | − | 0.372933i | ||||
\(245\) | 1.32513e10 | − | 4.58080e10i | 0.234969 | − | 0.812257i | ||||
\(246\) | 6.52497e10 | 1.13598 | ||||||||
\(247\) | −6.88030e10 | − | 8.20789e10i | −1.17617 | − | 1.40312i | ||||
\(248\) | −4.27394e9 | − | 7.40268e9i | −0.0717457 | − | 0.124267i | ||||
\(249\) | − | 4.80924e10i | − | 0.792829i | ||||||
\(250\) | −4.05984e10 | − | 7.03184e10i | −0.657322 | − | 1.13852i | ||||
\(251\) | −1.82822e10 | − | 3.16657e10i | −0.290735 | − | 0.503568i | 0.683249 | − | 0.730186i | \(-0.260566\pi\) |
−0.973984 | + | 0.226618i | \(0.927233\pi\) | |||||||
\(252\) | 6.15135e10 | − | 2.47694e10i | 0.960878 | − | 0.386913i | ||||
\(253\) | −9.87211e10 | + | 5.69967e10i | −1.51484 | + | 0.874595i | ||||
\(254\) | 1.22302e11i | 1.84366i | ||||||||
\(255\) | 5.20553e10 | − | 3.00541e10i | 0.770964 | − | 0.445116i | ||||
\(256\) | −3.91176e10 | + | 6.77536e10i | −0.569236 | + | 0.985945i | ||||
\(257\) | 4.35796e10 | + | 7.54822e10i | 0.623139 | + | 1.07931i | 0.988898 | + | 0.148598i | \(0.0474761\pi\) |
−0.365759 | + | 0.930710i | \(0.619191\pi\) | |||||||
\(258\) | 1.61495e11 | + | 9.32392e10i | 2.26919 | + | 1.31012i | ||||
\(259\) | 2.49568e10 | + | 3.53723e9i | 0.344619 | + | 0.0488443i | ||||
\(260\) | 9.89839e9 | − | 2.71537e10i | 0.134334 | − | 0.368510i | ||||
\(261\) | −8.28452e10 | + | 1.43492e11i | −1.10506 | + | 1.91402i | ||||
\(262\) | − | 1.16025e11i | − | 1.52123i | ||||||
\(263\) | −1.15471e11 | −1.48823 | −0.744116 | − | 0.668050i | \(-0.767129\pi\) | ||||
−0.744116 | + | 0.668050i | \(0.767129\pi\) | |||||||
\(264\) | 1.70990e11 | 2.16648 | ||||||||
\(265\) | − | 3.99006e10i | − | 0.497020i | ||||||
\(266\) | 2.53825e10 | − | 1.79085e11i | 0.310862 | − | 2.19327i | ||||
\(267\) | 1.34497e11 | − | 7.76519e10i | 1.61962 | − | 0.935085i | ||||
\(268\) | −1.27582e10 | − | 7.36597e9i | −0.151072 | − | 0.0872215i | ||||
\(269\) | 2.86011e10 | − | 4.95386e10i | 0.333041 | − | 0.576844i | −0.650065 | − | 0.759878i | \(-0.725259\pi\) |
0.983107 | + | 0.183034i | \(0.0585919\pi\) | |||||||
\(270\) | −1.98072e11 | −2.26823 | ||||||||
\(271\) | 1.25465e11 | − | 7.24372e10i | 1.41306 | − | 0.815831i | 0.417385 | − | 0.908730i | \(-0.362947\pi\) |
0.995676 | + | 0.0928991i | \(0.0296134\pi\) | |||||||
\(272\) | 6.60037e10 | 0.731153 | ||||||||
\(273\) | 1.64930e11 | − | 5.48439e9i | 1.79708 | − | 0.0597581i | ||||
\(274\) | 1.77087e11 | 1.89806 | ||||||||
\(275\) | −4.34852e10 | + | 2.51062e10i | −0.458505 | + | 0.264718i | ||||
\(276\) | 7.57191e10 | 0.785443 | ||||||||
\(277\) | −4.12484e10 | + | 7.14443e10i | −0.420967 | + | 0.729136i | −0.996034 | − | 0.0889702i | \(-0.971642\pi\) |
0.575068 | + | 0.818106i | \(0.304976\pi\) | |||||||
\(278\) | −4.28664e10 | − | 2.47489e10i | −0.430443 | − | 0.248516i | ||||
\(279\) | 4.32967e10 | − | 2.49974e10i | 0.427795 | − | 0.246988i | ||||
\(280\) | −5.23296e10 | + | 2.10713e10i | −0.508787 | + | 0.204871i | ||||
\(281\) | − | 1.64703e11i | − | 1.57588i | −0.615753 | − | 0.787940i | \(-0.711148\pi\) | ||
0.615753 | − | 0.787940i | \(-0.288852\pi\) | |||||||
\(282\) | −3.72809e11 | −3.51047 | ||||||||
\(283\) | −1.51597e11 | −1.40492 | −0.702460 | − | 0.711723i | \(-0.747915\pi\) | ||||
−0.702460 | + | 0.711723i | \(0.747915\pi\) | |||||||
\(284\) | 1.21040e10i | 0.110407i | ||||||||
\(285\) | −1.55019e11 | + | 2.68500e11i | −1.39182 | + | 2.41070i | ||||
\(286\) | −2.38909e11 | − | 8.70899e10i | −2.11147 | − | 0.769699i | ||||
\(287\) | 2.24180e10 | + | 5.56739e10i | 0.195042 | + | 0.484377i | ||||
\(288\) | −1.94658e11 | − | 1.12386e11i | −1.66727 | − | 0.962601i | ||||
\(289\) | 3.89650e10 | + | 6.74894e10i | 0.328575 | + | 0.569109i | ||||
\(290\) | −6.09778e10 | + | 1.05617e11i | −0.506268 | + | 0.876882i | ||||
\(291\) | −1.02404e11 | + | 5.91229e10i | −0.837139 | + | 0.483322i | ||||
\(292\) | − | 1.13683e10i | − | 0.0915110i | ||||||
\(293\) | −9.60887e10 | + | 5.54769e10i | −0.761672 | + | 0.439752i | −0.829896 | − | 0.557918i | \(-0.811600\pi\) |
0.0682236 | + | 0.997670i | \(0.478267\pi\) | |||||||
\(294\) | 1.93125e11 | + | 2.00925e11i | 1.50756 | + | 1.56845i | ||||
\(295\) | −4.78387e10 | − | 8.28590e10i | −0.367773 | − | 0.637002i | ||||
\(296\) | −1.49095e10 | − | 2.58239e10i | −0.112888 | − | 0.195528i | ||||
\(297\) | 5.52232e11i | 4.11829i | ||||||||
\(298\) | −4.52515e10 | − | 7.83779e10i | −0.332399 | − | 0.575732i | ||||
\(299\) | 1.22275e11 | + | 4.45732e10i | 0.884745 | + | 0.322518i | ||||
\(300\) | 3.33531e10 | 0.237734 | ||||||||
\(301\) | −2.40706e10 | + | 1.69829e11i | −0.169020 | + | 1.19251i | ||||
\(302\) | −8.92837e10 | + | 1.54644e11i | −0.617648 | + | 1.06980i | ||||
\(303\) | 3.84950e10 | 0.262369 | ||||||||
\(304\) | −2.94835e11 | + | 1.70223e11i | −1.97992 | + | 1.14311i | ||||
\(305\) | −1.02737e11 | − | 5.93154e10i | −0.679796 | − | 0.392481i | ||||
\(306\) | 2.42633e11i | 1.58199i | ||||||||
\(307\) | 7.34189e10i | 0.471721i | 0.971787 | + | 0.235860i | \(0.0757908\pi\) | ||||
−0.971787 | + | 0.235860i | \(0.924209\pi\) | |||||||
\(308\) | −5.08297e10 | − | 1.26233e11i | −0.321839 | − | 0.799272i | ||||
\(309\) | −4.37691e10 | + | 7.58103e10i | −0.273121 | + | 0.473059i | ||||
\(310\) | 3.18683e10 | − | 1.83992e10i | 0.195989 | − | 0.113154i | ||||
\(311\) | 1.43571e10 | + | 2.48671e10i | 0.0870249 | + | 0.150732i | 0.906252 | − | 0.422737i | \(-0.138931\pi\) |
−0.819227 | + | 0.573469i | \(0.805597\pi\) | |||||||
\(312\) | −1.25411e11 | − | 1.49609e11i | −0.749270 | − | 0.893845i | ||||
\(313\) | 5.72582e9 | − | 9.91741e9i | 0.0337200 | − | 0.0584048i | −0.848673 | − | 0.528918i | \(-0.822598\pi\) |
0.882393 | + | 0.470513i | \(0.155931\pi\) | |||||||
\(314\) | −2.41152e10 | − | 1.39229e10i | −0.139994 | − | 0.0808254i | ||||
\(315\) | −1.23242e11 | − | 3.06065e11i | −0.705278 | − | 1.75152i | ||||
\(316\) | 5.26624e10 | + | 9.12139e10i | 0.297104 | + | 0.514600i | ||||
\(317\) | −1.14225e11 | − | 6.59479e10i | −0.635324 | − | 0.366804i | 0.147487 | − | 0.989064i | \(-0.452881\pi\) |
−0.782811 | + | 0.622260i | \(0.786215\pi\) | |||||||
\(318\) | 2.01948e11 | + | 1.16595e11i | 1.10743 | + | 0.639377i | ||||
\(319\) | 2.94462e11 | + | 1.70008e11i | 1.59211 | + | 0.919202i | ||||
\(320\) | 2.82393e10 | + | 1.63040e10i | 0.150549 | + | 0.0869198i | ||||
\(321\) | −1.49903e11 | − | 2.59639e11i | −0.788020 | − | 1.36489i | ||||
\(322\) | 8.20973e10 | + | 2.03884e11i | 0.425576 | + | 1.05690i | ||||
\(323\) | 1.81616e11 | + | 1.04856e11i | 0.928418 | + | 0.536022i | ||||
\(324\) | 8.06722e10 | − | 1.39728e11i | 0.406697 | − | 0.704420i | ||||
\(325\) | 5.38604e10 | + | 1.96338e10i | 0.267790 | + | 0.0976180i | ||||
\(326\) | 7.71738e10 | + | 1.33669e11i | 0.378435 | + | 0.655468i | ||||
\(327\) | −1.16568e11 | + | 6.73005e10i | −0.563786 | + | 0.325502i | ||||
\(328\) | 3.55006e10 | − | 6.14888e10i | 0.169357 | − | 0.293335i | ||||
\(329\) | −1.28087e11 | − | 3.18097e11i | −0.602730 | − | 1.49685i | ||||
\(330\) | 7.36109e11i | 3.41688i | ||||||||
\(331\) | − | 1.88741e11i | − | 0.864251i | −0.901814 | − | 0.432125i | \(-0.857764\pi\) | ||
0.901814 | − | 0.432125i | \(-0.142236\pi\) | |||||||
\(332\) | 3.92122e10 | + | 2.26392e10i | 0.177133 | + | 0.102268i | ||||
\(333\) | 1.51039e11 | − | 8.72022e10i | 0.673115 | − | 0.388623i | ||||
\(334\) | 6.84706e10 | 0.301055 | ||||||||
\(335\) | −3.66499e10 | + | 6.34795e10i | −0.158990 | + | 0.275380i | ||||
\(336\) | 7.36114e10 | − | 5.19363e11i | 0.315078 | − | 2.22302i | ||||
\(337\) | −5.70876e10 | −0.241106 | −0.120553 | − | 0.992707i | \(-0.538467\pi\) | ||||
−0.120553 | + | 0.992707i | \(0.538467\pi\) | |||||||
\(338\) | 9.90246e10 | + | 2.72910e11i | 0.412684 | + | 1.13735i | ||||
\(339\) | 3.71627e10 | + | 6.43676e10i | 0.152830 | + | 0.264709i | ||||
\(340\) | 5.65912e10i | 0.229664i | ||||||||
\(341\) | −5.12975e10 | − | 8.88499e10i | −0.205448 | − | 0.355846i | ||||
\(342\) | −6.25748e11 | − | 1.08383e12i | −2.47333 | − | 4.28393i | ||||
\(343\) | −1.05086e11 | + | 2.33815e11i | −0.409941 | + | 0.912112i | ||||
\(344\) | 1.75730e11 | − | 1.01458e11i | 0.676602 | − | 0.390636i | ||||
\(345\) | − | 3.76745e11i | − | 1.43173i | ||||||
\(346\) | 2.57726e10 | − | 1.48798e10i | 0.0966753 | − | 0.0558155i | ||||
\(347\) | 2.54857e10 | − | 4.41426e10i | 0.0943657 | − | 0.163446i | −0.814978 | − | 0.579492i | \(-0.803251\pi\) |
0.909344 | + | 0.416046i | \(0.136584\pi\) | |||||||
\(348\) | −1.12926e11 | − | 1.95594e11i | −0.412751 | − | 0.714906i | ||||
\(349\) | −2.51330e11 | − | 1.45105e11i | −0.906838 | − | 0.523563i | −0.0274257 | − | 0.999624i | \(-0.508731\pi\) |
−0.879412 | + | 0.476061i | \(0.842064\pi\) | |||||||
\(350\) | 3.61626e10 | + | 8.98080e10i | 0.128811 | + | 0.319896i | ||||
\(351\) | 4.83178e11 | − | 4.05026e11i | 1.69912 | − | 1.42430i | ||||
\(352\) | −2.30629e11 | + | 3.99462e11i | −0.800705 | + | 1.38686i | ||||
\(353\) | − | 5.16421e11i | − | 1.77018i | −0.465419 | − | 0.885090i | \(-0.654096\pi\) | ||
0.465419 | − | 0.885090i | \(-0.345904\pi\) | |||||||
\(354\) | 5.59163e11 | 1.89245 | ||||||||
\(355\) | 6.02244e10 | 0.201254 | ||||||||
\(356\) | 1.46216e11i | 0.482471i | ||||||||
\(357\) | −2.99734e11 | + | 1.20693e11i | −0.976629 | + | 0.393255i | ||||
\(358\) | −1.45790e10 | + | 8.41718e9i | −0.0469087 | + | 0.0270828i | ||||
\(359\) | 1.24716e11 | + | 7.20049e10i | 0.396276 | + | 0.228790i | 0.684876 | − | 0.728660i | \(-0.259856\pi\) |
−0.288600 | + | 0.957450i | \(0.593190\pi\) | |||||||
\(360\) | −1.95163e11 | + | 3.38032e11i | −0.612401 | + | 1.06071i | ||||
\(361\) | −7.59004e11 | −2.35213 | ||||||||
\(362\) | −6.54132e10 | + | 3.77663e10i | −0.200206 | + | 0.115589i | ||||
\(363\) | 1.45747e12 | 4.40576 | ||||||||
\(364\) | −7.31679e10 | + | 1.37057e11i | −0.218456 | + | 0.409210i | ||||
\(365\) | −5.65639e10 | −0.166810 | ||||||||
\(366\) | 6.00423e11 | − | 3.46654e11i | 1.74901 | − | 1.00979i | ||||
\(367\) | −1.67449e11 | −0.481820 | −0.240910 | − | 0.970547i | \(-0.577446\pi\) | ||||
−0.240910 | + | 0.970547i | \(0.577446\pi\) | |||||||
\(368\) | 2.06848e11 | − | 3.58272e11i | 0.587945 | − | 1.01835i | ||||
\(369\) | 3.59635e11 | + | 2.07635e11i | 1.00982 | + | 0.583019i | ||||
\(370\) | 1.11171e11 | − | 6.41848e10i | 0.308379 | − | 0.178043i | ||||
\(371\) | −3.01000e10 | + | 2.12370e11i | −0.0824868 | + | 0.581982i | ||||
\(372\) | 6.81479e10i | 0.184505i | ||||||||
\(373\) | −3.39297e11 | −0.907592 | −0.453796 | − | 0.891106i | \(-0.649930\pi\) | ||||
−0.453796 | + | 0.891106i | \(0.649930\pi\) | |||||||
\(374\) | 4.97912e11 | 1.31592 | ||||||||
\(375\) | − | 7.48177e11i | − | 1.95373i | ||||||
\(376\) | −2.02835e11 | + | 3.51321e11i | −0.523357 | + | 0.906481i | ||||
\(377\) | −6.72199e10 | − | 3.82332e11i | −0.171381 | − | 0.974774i | ||||
\(378\) | 1.05423e12 | + | 1.49421e11i | 2.65597 | + | 0.376442i | ||||
\(379\) | 1.45117e11 | + | 8.37832e10i | 0.361278 | + | 0.208584i | 0.669641 | − | 0.742685i | \(-0.266448\pi\) |
−0.308363 | + | 0.951269i | \(0.599781\pi\) | |||||||
\(380\) | −1.45948e11 | − | 2.52790e11i | −0.359064 | − | 0.621918i | ||||
\(381\) | −5.63467e11 | + | 9.75953e11i | −1.36995 | + | 2.37283i | ||||
\(382\) | −8.57623e11 | + | 4.95149e11i | −2.06068 | + | 1.18974i | ||||
\(383\) | − | 6.06739e11i | − | 1.44081i | −0.693553 | − | 0.720406i | \(-0.743955\pi\) | ||
0.693553 | − | 0.720406i | \(-0.256045\pi\) | |||||||
\(384\) | −7.37048e11 | + | 4.25535e11i | −1.72984 | + | 0.998723i | ||||
\(385\) | −6.28080e11 | + | 2.52907e11i | −1.45694 | + | 0.586660i | ||||
\(386\) | 3.06361e11 | + | 5.30632e11i | 0.702409 | + | 1.21661i | ||||
\(387\) | 5.93405e11 | + | 1.02781e12i | 1.34478 | + | 2.32923i | ||||
\(388\) | − | 1.11327e11i | − | 0.249377i | ||||||
\(389\) | −3.69657e11 | − | 6.40265e11i | −0.818514 | − | 1.41771i | −0.906777 | − | 0.421610i | \(-0.861465\pi\) |
0.0882632 | − | 0.996097i | \(-0.471868\pi\) | |||||||
\(390\) | 6.44063e11 | − | 5.39889e11i | 1.40973 | − | 1.18172i | ||||
\(391\) | −2.54834e11 | −0.551395 | ||||||||
\(392\) | 2.94418e11 | − | 7.26753e10i | 0.629763 | − | 0.155453i | ||||
\(393\) | 5.34549e11 | − | 9.25867e11i | 1.13037 | − | 1.95786i | ||||
\(394\) | 8.88357e11 | 1.85718 | ||||||||
\(395\) | 4.53841e11 | − | 2.62025e11i | 0.938031 | − | 0.541572i | ||||
\(396\) | −8.15423e11 | − | 4.70784e11i | −1.66630 | − | 0.962041i | ||||
\(397\) | − | 1.91585e11i | − | 0.387083i | −0.981092 | − | 0.193541i | \(-0.938003\pi\) | ||
0.981092 | − | 0.193541i | \(-0.0619973\pi\) | |||||||
\(398\) | 5.91177e11i | 1.18098i | ||||||||
\(399\) | 1.02763e12 | − | 1.31214e12i | 2.02983 | − | 2.59180i | ||||
\(400\) | 9.11136e10 | − | 1.57813e11i | 0.177956 | − | 0.308229i | ||||
\(401\) | −7.21991e11 | + | 4.16841e11i | −1.39438 | + | 0.805047i | −0.993797 | − | 0.111212i | \(-0.964527\pi\) |
−0.400586 | + | 0.916259i | \(0.631193\pi\) | |||||||
\(402\) | −2.14191e11 | − | 3.70990e11i | −0.409058 | − | 0.708509i | ||||
\(403\) | −4.01163e10 | + | 1.10049e11i | −0.0757614 | + | 0.207832i | ||||
\(404\) | −1.81213e10 | + | 3.13870e10i | −0.0338433 | + | 0.0586183i | ||||
\(405\) | −6.95228e11 | − | 4.01390e11i | −1.28404 | − | 0.741343i | ||||
\(406\) | 4.04226e11 | − | 5.16140e11i | 0.738342 | − | 0.942759i | ||||
\(407\) | −1.78949e11 | − | 3.09949e11i | −0.323262 | − | 0.559906i | ||||
\(408\) | 3.31041e11 | + | 1.91126e11i | 0.591440 | + | 0.341468i | ||||
\(409\) | −8.77292e9 | − | 5.06505e9i | −0.0155021 | − | 0.00895012i | 0.492229 | − | 0.870466i | \(-0.336182\pi\) |
−0.507731 | + | 0.861516i | \(0.669516\pi\) | |||||||
\(410\) | 2.64708e11 | + | 1.52829e11i | 0.462636 | + | 0.267103i | ||||
\(411\) | 1.41314e12 | + | 8.15874e11i | 2.44284 | + | 1.41038i | ||||
\(412\) | −4.12081e10 | − | 7.13745e10i | −0.0704604 | − | 0.122041i | ||||
\(413\) | 1.92113e11 | + | 4.77102e11i | 0.324923 | + | 0.806930i | ||||
\(414\) | 1.31703e12 | + | 7.60385e11i | 2.20340 | + | 1.27213i | ||||
\(415\) | 1.12643e11 | − | 1.95103e11i | 0.186418 | − | 0.322885i | ||||
\(416\) | 5.18663e11 | − | 9.11891e10i | 0.849113 | − | 0.149287i | ||||
\(417\) | −2.28046e11 | − | 3.94987e11i | −0.369326 | − | 0.639692i | ||||
\(418\) | −2.22414e12 | + | 1.28411e12i | −3.56344 | + | 2.05735i | ||||
\(419\) | −5.59106e11 | + | 9.68400e11i | −0.886199 | + | 1.53494i | −0.0418654 | + | 0.999123i | \(0.513330\pi\) |
−0.844333 | + | 0.535818i | \(0.820003\pi\) | |||||||
\(420\) | 4.45299e11 | + | 6.31140e10i | 0.698280 | + | 0.0989701i | ||||
\(421\) | − | 7.87081e10i | − | 0.122110i | −0.998134 | − | 0.0610548i | \(-0.980554\pi\) | ||
0.998134 | − | 0.0610548i | \(-0.0194464\pi\) | |||||||
\(422\) | 1.20780e12i | 1.85391i | ||||||||
\(423\) | −2.05480e12 | − | 1.18634e12i | −3.12060 | − | 1.80168i | ||||
\(424\) | 2.19749e11 | − | 1.26872e11i | 0.330202 | − | 0.190642i | ||||
\(425\) | −1.12251e11 | −0.166893 | ||||||||
\(426\) | −1.75983e11 | + | 3.04812e11i | −0.258898 | + | 0.448424i | ||||
\(427\) | 5.02069e11 | + | 3.93206e11i | 0.730867 | + | 0.572394i | ||||
\(428\) | 2.82263e11 | 0.406591 | ||||||||
\(429\) | −1.50523e12 | − | 1.79567e12i | −2.14558 | − | 2.55958i | ||||
\(430\) | 4.36773e11 | + | 7.56513e11i | 0.616095 | + | 1.06711i | ||||
\(431\) | − | 2.58806e11i | − | 0.361266i | −0.983551 | − | 0.180633i | \(-0.942185\pi\) | ||
0.983551 | − | 0.180633i | \(-0.0578146\pi\) | |||||||
\(432\) | −1.00206e12 | − | 1.73562e12i | −1.38426 | − | 2.39760i | ||||
\(433\) | −9.10029e10 | − | 1.57622e11i | −0.124411 | − | 0.215487i | 0.797091 | − | 0.603859i | \(-0.206371\pi\) |
−0.921503 | + | 0.388372i | \(0.873038\pi\) | |||||||
\(434\) | −1.83498e11 | + | 7.38883e10i | −0.248272 | + | 0.0999706i | ||||
\(435\) | −9.73192e11 | + | 5.61873e11i | −1.30316 | + | 0.752378i | ||||
\(436\) | − | 1.26725e11i | − | 0.167948i | ||||||
\(437\) | 1.13833e12 | − | 6.57215e11i | 1.49314 | − | 0.862067i | ||||
\(438\) | 1.65287e11 | − | 2.86285e11i | 0.214588 | − | 0.371677i | ||||
\(439\) | 3.30437e11 | + | 5.72333e11i | 0.424617 | + | 0.735459i | 0.996385 | − | 0.0849569i | \(-0.0270753\pi\) |
−0.571767 | + | 0.820416i | \(0.693742\pi\) | |||||||
\(440\) | 6.93681e11 | + | 4.00497e11i | 0.882313 | + | 0.509404i | ||||
\(441\) | 4.25062e11 | + | 1.72199e12i | 0.535154 | + | 2.16799i | ||||
\(442\) | −3.65186e11 | − | 4.35651e11i | −0.455108 | − | 0.542923i | ||||
\(443\) | 4.90188e10 | − | 8.49031e10i | 0.0604709 | − | 0.104739i | −0.834205 | − | 0.551454i | \(-0.814073\pi\) |
0.894676 | + | 0.446716i | \(0.147406\pi\) | |||||||
\(444\) | 2.37731e11i | 0.290310i | ||||||||
\(445\) | 7.27510e11 | 0.879466 | ||||||||
\(446\) | −1.35114e12 | −1.61694 | ||||||||
\(447\) | − | 8.33929e11i | − | 0.987973i | ||||||
\(448\) | −1.38003e11 | − | 1.08080e11i | −0.161860 | − | 0.126764i | ||||
\(449\) | 5.05575e11 | − | 2.91894e11i | 0.587053 | − | 0.338935i | −0.176879 | − | 0.984233i | \(-0.556600\pi\) |
0.763931 | + | 0.645298i | \(0.223267\pi\) | |||||||
\(450\) | 5.80130e11 | + | 3.34938e11i | 0.666913 | + | 0.385042i | ||||
\(451\) | 4.26092e11 | − | 7.38013e11i | 0.484963 | − | 0.839981i | ||||
\(452\) | −6.99763e10 | −0.0788548 | ||||||||
\(453\) | −1.42495e12 | + | 8.22694e11i | −1.58985 | + | 0.917902i | ||||
\(454\) | −6.83040e11 | −0.754562 | ||||||||
\(455\) | 6.81939e11 | + | 3.64052e11i | 0.745923 | + | 0.398210i | ||||
\(456\) | −1.97165e12 | −2.13544 | ||||||||
\(457\) | 4.24855e11 | − | 2.45290e11i | 0.455635 | − | 0.263061i | −0.254572 | − | 0.967054i | \(-0.581935\pi\) |
0.710207 | + | 0.703993i | \(0.248601\pi\) | |||||||
\(458\) | 5.61750e11 | 0.596553 | ||||||||
\(459\) | −6.17263e11 | + | 1.06913e12i | −0.649102 | + | 1.12428i | ||||
\(460\) | 3.07180e11 | + | 1.77351e11i | 0.319877 | + | 0.184681i | ||||
\(461\) | −7.09341e11 | + | 4.09538e11i | −0.731478 | + | 0.422319i | −0.818963 | − | 0.573847i | \(-0.805450\pi\) |
0.0874848 | + | 0.996166i | \(0.472117\pi\) | |||||||
\(462\) | 5.55302e11 | − | 3.91791e12i | 0.567075 | − | 4.00097i | ||||
\(463\) | − | 2.99451e11i | − | 0.302839i | −0.988470 | − | 0.151419i | \(-0.951616\pi\) | ||
0.988470 | − | 0.151419i | \(-0.0483844\pi\) | |||||||
\(464\) | −1.23396e12 | −1.23586 | ||||||||
\(465\) | 3.39074e11 | 0.336323 | ||||||||
\(466\) | 9.03279e11i | 0.887331i | ||||||||
\(467\) | 6.03249e11 | − | 1.04486e12i | 0.586909 | − | 1.01656i | −0.407726 | − | 0.913105i | \(-0.633678\pi\) |
0.994634 | − | 0.103452i | \(-0.0329887\pi\) | |||||||
\(468\) | 1.86145e11 | + | 1.05875e12i | 0.179368 | + | 1.02020i | ||||
\(469\) | 2.42955e11 | − | 3.10219e11i | 0.231872 | − | 0.296068i | ||||
\(470\) | −1.51243e12 | − | 8.73200e11i | −1.42966 | − | 0.825416i | ||||
\(471\) | −1.28291e11 | − | 2.22207e11i | −0.120117 | − | 0.208048i | ||||
\(472\) | 3.04225e11 | − | 5.26933e11i | 0.282134 | − | 0.488671i | ||||
\(473\) | 2.10918e12 | − | 1.21774e12i | 1.93749 | − | 1.11861i | ||||
\(474\) | 3.06269e12i | 2.78676i | ||||||||
\(475\) | 5.01417e11 | − | 2.89493e11i | 0.451937 | − | 0.260926i | ||||
\(476\) | 4.26910e10 | − | 3.01205e11i | 0.0381158 | − | 0.268924i | ||||
\(477\) | 7.42048e11 | + | 1.28526e12i | 0.656295 | + | 1.13674i | ||||
\(478\) | −7.57668e11 | − | 1.31232e12i | −0.663824 | − | 1.14978i | ||||
\(479\) | − | 7.64456e11i | − | 0.663503i | −0.943367 | − | 0.331751i | \(-0.892360\pi\) | ||
0.943367 | − | 0.331751i | \(-0.107640\pi\) | |||||||
\(480\) | −7.62225e11 | − | 1.32021e12i | −0.655387 | − | 1.13516i | ||||
\(481\) | −1.39944e11 | + | 3.83900e11i | −0.119207 | + | 0.327013i | ||||
\(482\) | −7.47462e11 | −0.630779 | ||||||||
\(483\) | −2.84207e11 | + | 2.00521e12i | −0.237614 | + | 1.67648i | ||||
\(484\) | −6.86096e11 | + | 1.18835e12i | −0.568304 | + | 0.984332i | ||||
\(485\) | −5.53914e11 | −0.454574 | ||||||||
\(486\) | 1.20592e12 | − | 6.96238e11i | 0.980517 | − | 0.566102i | ||||
\(487\) | 8.08672e11 | + | 4.66887e11i | 0.651466 | + | 0.376124i | 0.789018 | − | 0.614370i | \(-0.210590\pi\) |
−0.137552 | + | 0.990495i | \(0.543923\pi\) | |||||||
\(488\) | − | 7.54421e11i | − | 0.602177i | ||||||
\(489\) | 1.42222e12i | 1.12480i | ||||||||
\(490\) | 3.12865e11 | + | 1.26746e12i | 0.245174 | + | 0.993236i | ||||
\(491\) | 4.42971e11 | − | 7.67249e11i | 0.343961 | − | 0.595758i | −0.641204 | − | 0.767371i | \(-0.721565\pi\) |
0.985164 | + | 0.171613i | \(0.0548979\pi\) | |||||||
\(492\) | −4.90219e11 | + | 2.83028e11i | −0.377179 | + | 0.217764i | ||||
\(493\) | 3.80056e11 | + | 6.58277e11i | 0.289759 | + | 0.501877i | ||||
\(494\) | 2.75480e12 | + | 1.00421e12i | 2.08123 | + | 0.758674i | ||||
\(495\) | −2.34242e12 | + | 4.05719e12i | −1.75364 | + | 3.03740i | ||||
\(496\) | 3.22448e11 | + | 1.86165e11i | 0.239217 | + | 0.138112i | ||||
\(497\) | −3.20542e11 | − | 4.54318e10i | −0.235658 | − | 0.0334007i | ||||
\(498\) | 6.58314e11 | + | 1.14023e12i | 0.479624 | + | 0.830733i | ||||
\(499\) | 1.22625e12 | + | 7.07977e11i | 0.885375 | + | 0.511172i | 0.872427 | − | 0.488745i | \(-0.162545\pi\) |
0.0129482 | + | 0.999916i | \(0.495878\pi\) | |||||||
\(500\) | 6.10028e11 | + | 3.52200e11i | 0.436501 | + | 0.252014i | ||||
\(501\) | 5.46388e11 | + | 3.15457e11i | 0.387464 | + | 0.223702i | ||||
\(502\) | 8.66914e11 | + | 5.00513e11i | 0.609269 | + | 0.351762i | ||||
\(503\) | −2.85571e11 | − | 4.94624e11i | −0.198911 | − | 0.344524i | 0.749265 | − | 0.662271i | \(-0.230407\pi\) |
−0.948176 | + | 0.317747i | \(0.897074\pi\) | |||||||
\(504\) | 1.29375e12 | − | 1.65194e12i | 0.893126 | − | 1.14040i | ||||
\(505\) | 1.56168e11 | + | 9.01636e10i | 0.106852 | + | 0.0616908i | ||||
\(506\) | 1.56040e12 | − | 2.70269e12i | 1.05818 | − | 1.83282i | ||||
\(507\) | −4.67142e11 | + | 2.63401e12i | −0.313988 | + | 1.77044i | ||||
\(508\) | −5.30497e11 | − | 9.18848e11i | −0.353424 | − | 0.612149i | ||||
\(509\) | −4.05958e11 | + | 2.34380e11i | −0.268072 | + | 0.154771i | −0.628011 | − | 0.778204i | \(-0.716131\pi\) |
0.359939 | + | 0.932976i | \(0.382797\pi\) | |||||||
\(510\) | −8.22793e11 | + | 1.42512e12i | −0.538549 | + | 0.932794i | ||||
\(511\) | 3.01059e11 | + | 4.26703e10i | 0.195325 | + | 0.0276842i | ||||
\(512\) | − | 4.14486e11i | − | 0.266560i | ||||||
\(513\) | − | 6.36765e12i | − | 4.05930i | ||||||
\(514\) | −2.06648e12 | − | 1.19308e12i | −1.30586 | − | 0.753939i | ||||
\(515\) | −3.55129e11 | + | 2.05034e11i | −0.222461 | + | 0.128438i | ||||
\(516\) | −1.61774e12 | −1.00458 | ||||||||
\(517\) | −2.43451e12 | + | 4.21669e12i | −1.49866 | + | 2.59576i | ||||
\(518\) | −6.40124e11 | + | 2.57756e11i | −0.390643 | + | 0.157299i | ||||
\(519\) | 2.74217e11 | 0.165898 | ||||||||
\(520\) | −1.58353e11 | − | 9.00679e11i | −0.0949757 | − | 0.540200i | ||||
\(521\) | −4.69332e10 | − | 8.12907e10i | −0.0279068 | − | 0.0483360i | 0.851735 | − | 0.523973i | \(-0.175551\pi\) |
−0.879642 | + | 0.475637i | \(0.842218\pi\) | |||||||
\(522\) | − | 4.53611e12i | − | 2.67403i | ||||||
\(523\) | −1.41830e12 | − | 2.45656e12i | −0.828914 | − | 1.43572i | −0.898891 | − | 0.438173i | \(-0.855626\pi\) |
0.0699767 | − | 0.997549i | \(-0.477707\pi\) | |||||||
\(524\) | 5.03271e11 | + | 8.71692e11i | 0.291616 | + | 0.505094i | ||||
\(525\) | −1.25189e11 | + | 8.83266e11i | −0.0719199 | + | 0.507428i | ||||
\(526\) | 2.73772e12 | − | 1.58062e12i | 1.55938 | − | 0.900310i | ||||
\(527\) | − | 2.29353e11i | − | 0.129526i | ||||||
\(528\) | −6.45020e12 | + | 3.72402e12i | −3.61177 | + | 2.08526i | ||||
\(529\) | 1.01954e11 | − | 1.76589e11i | 0.0566046 | − | 0.0980421i | ||||
\(530\) | 5.46181e11 | + | 9.46013e11i | 0.300673 | + | 0.520781i | ||||
\(531\) | 3.08192e12 | + | 1.77935e12i | 1.68227 | + | 0.971260i | ||||
\(532\) | 5.86105e11 | + | 1.45556e12i | 0.317229 | + | 0.787823i | ||||
\(533\) | −9.58240e11 | + | 1.68474e11i | −0.514283 | + | 0.0904190i | ||||
\(534\) | −2.12588e12 | + | 3.68213e12i | −1.13136 | + | 1.95958i | ||||
\(535\) | − | 1.40442e12i | − | 0.741149i | ||||||
\(536\) | −4.66143e11 | −0.243937 | ||||||||
\(537\) | −1.55118e11 | −0.0804968 | ||||||||
\(538\) | 1.56603e12i | 0.805896i | ||||||||
\(539\) | 3.53372e12 | − | 8.72278e11i | 1.80336 | − | 0.445149i | ||||
\(540\) | 1.48811e12 | − | 8.59161e11i | 0.753118 | − | 0.434813i | ||||
\(541\) | 1.93909e12 | + | 1.11953e12i | 0.973218 | + | 0.561888i | 0.900216 | − | 0.435444i | \(-0.143409\pi\) |
0.0730025 | + | 0.997332i | \(0.476742\pi\) | |||||||
\(542\) | −1.98312e12 | + | 3.43486e12i | −0.987078 | + | 1.70967i | ||||
\(543\) | −6.95987e11 | −0.343559 | ||||||||
\(544\) | −8.93005e11 | + | 5.15577e11i | −0.437179 | + | 0.252405i | ||||
\(545\) | −6.30530e11 | −0.306141 | ||||||||
\(546\) | −3.83528e12 | + | 2.38767e12i | −1.84684 | + | 1.14976i | ||||
\(547\) | −5.80050e11 | −0.277027 | −0.138514 | − | 0.990361i | \(-0.544232\pi\) | ||||
−0.138514 | + | 0.990361i | \(0.544232\pi\) | |||||||
\(548\) | −1.33045e12 | + | 7.68136e11i | −0.630211 | + | 0.363852i | ||||
\(549\) | 4.41245e12 | 2.07302 | ||||||||
\(550\) | 6.87332e11 | − | 1.19049e12i | 0.320284 | − | 0.554747i | ||||
\(551\) | −3.39538e12 | − | 1.96032e12i | −1.56930 | − | 0.906036i | ||||
\(552\) | 2.07489e12 | − | 1.19794e12i | 0.951193 | − | 0.549172i | ||||
\(553\) | −2.61322e12 | + | 1.05225e12i | −1.18826 | + | 0.478473i | ||||
\(554\) | − | 2.25852e12i | − | 1.01866i | ||||||
\(555\) | 1.18285e12 | 0.529188 | ||||||||
\(556\) | 4.29405e11 | 0.190559 | ||||||||
\(557\) | − | 1.39868e12i | − | 0.615701i | −0.951435 | − | 0.307850i | \(-0.900390\pi\) | ||
0.951435 | − | 0.307850i | \(-0.0996096\pi\) | |||||||
\(558\) | −6.84354e11 | + | 1.18534e12i | −0.298832 | + | 0.517592i | ||||
\(559\) | −2.61242e12 | − | 9.52309e11i | −1.13159 | − | 0.412501i | ||||
\(560\) | 1.51509e12 | − | 1.93456e12i | 0.651017 | − | 0.831258i | ||||
\(561\) | 3.97328e12 | + | 2.29397e12i | 1.69362 | + | 0.977812i | ||||
\(562\) | 2.25454e12 | + | 3.90498e12i | 0.953332 | + | 1.65122i | ||||
\(563\) | −6.87910e11 | + | 1.19150e12i | −0.288565 | + | 0.499810i | −0.973467 | − | 0.228825i | \(-0.926512\pi\) |
0.684902 | + | 0.728635i | \(0.259845\pi\) | |||||||
\(564\) | 2.80090e12 | − | 1.61710e12i | 1.16558 | − | 0.672947i | ||||
\(565\) | 3.48172e11i | 0.143739i | ||||||||
\(566\) | 3.59424e12 | − | 2.07514e12i | 1.47209 | − | 0.849910i | ||||
\(567\) | 3.39753e12 | + | 2.66085e12i | 1.38051 | + | 1.08117i | ||||
\(568\) | 1.91496e11 | + | 3.31680e11i | 0.0771953 | + | 0.133706i | ||||
\(569\) | 2.98509e10 | + | 5.17033e10i | 0.0119386 | + | 0.0206782i | 0.871933 | − | 0.489625i | \(-0.162866\pi\) |
−0.859994 | + | 0.510303i | \(0.829533\pi\) | |||||||
\(570\) | − | 8.48790e12i | − | 3.36793i | ||||||
\(571\) | −2.15976e12 | − | 3.74081e12i | −0.850241 | − | 1.47266i | −0.880990 | − | 0.473134i | \(-0.843123\pi\) |
0.0307491 | − | 0.999527i | \(-0.490211\pi\) | |||||||
\(572\) | 2.17268e12 | − | 3.81991e11i | 0.848619 | − | 0.149201i | ||||
\(573\) | −9.12498e12 | −3.53620 | ||||||||
\(574\) | −1.29361e12 | − | 1.01312e12i | −0.497392 | − | 0.389543i | ||||
\(575\) | −3.51781e11 | + | 6.09303e11i | −0.134205 | + | 0.232449i | ||||
\(576\) | −1.21284e12 | −0.459097 | ||||||||
\(577\) | −1.99967e11 | + | 1.15451e11i | −0.0751047 | + | 0.0433617i | −0.537082 | − | 0.843530i | \(-0.680473\pi\) |
0.461977 | + | 0.886892i | \(0.347140\pi\) | |||||||
\(578\) | −1.84766e12 | − | 1.06675e12i | −0.688567 | − | 0.397545i | ||||
\(579\) | 5.64585e12i | 2.08774i | ||||||||
\(580\) | − | 1.05799e12i | − | 0.388201i | ||||||
\(581\) | −7.46718e11 | + | 9.53454e11i | −0.271872 | + | 0.347142i | ||||
\(582\) | 1.61861e12 | − | 2.80351e12i | 0.584774 | − | 1.01286i | ||||
\(583\) | 2.63751e12 | − | 1.52277e12i | 0.945553 | − | 0.545915i | ||||
\(584\) | −1.79856e11 | − | 3.11520e11i | −0.0639834 | − | 0.110823i | ||||
\(585\) | 5.26788e12 | − | 9.26175e11i | 1.85966 | − | 0.326958i | ||||
\(586\) | 1.51879e12 | − | 2.63062e12i | 0.532058 | − | 0.921551i | ||||
\(587\) | 2.48065e12 | + | 1.43220e12i | 0.862370 | + | 0.497889i | 0.864805 | − | 0.502108i | \(-0.167442\pi\) |
−0.00243544 | + | 0.999997i | \(0.500775\pi\) | |||||||
\(588\) | −2.32247e12 | − | 6.71844e11i | −0.801222 | − | 0.231777i | ||||
\(589\) | 5.91500e11 | + | 1.02451e12i | 0.202505 | + | 0.350749i | ||||
\(590\) | 2.26843e12 | + | 1.30968e12i | 0.770712 | + | 0.444971i | ||||
\(591\) | 7.08899e12 | + | 4.09283e12i | 2.39024 | + | 1.38000i | ||||
\(592\) | 1.12485e12 | + | 6.49430e11i | 0.376396 | + | 0.217312i | ||||
\(593\) | −1.55535e12 | − | 8.97983e11i | −0.516515 | − | 0.298210i | 0.218993 | − | 0.975726i | \(-0.429723\pi\) |
−0.735507 | + | 0.677517i | \(0.763056\pi\) | |||||||
\(594\) | −7.55923e12 | − | 1.30930e13i | −2.49137 | − | 4.31518i | ||||
\(595\) | −1.49866e12 | − | 2.12412e11i | −0.490205 | − | 0.0694788i | ||||
\(596\) | 6.79945e11 | + | 3.92567e11i | 0.220732 | + | 0.127440i | ||||
\(597\) | −2.72367e12 | + | 4.71753e12i | −0.877545 | + | 1.51995i | ||||
\(598\) | −3.50919e12 | + | 6.16970e11i | −1.12215 | + | 0.197292i | ||||
\(599\) | 4.00685e11 | + | 6.94006e11i | 0.127169 | + | 0.220263i | 0.922579 | − | 0.385809i | \(-0.126078\pi\) |
−0.795410 | + | 0.606072i | \(0.792744\pi\) | |||||||
\(600\) | 9.13957e11 | − | 5.27673e11i | 0.287902 | − | 0.166220i | ||||
\(601\) | −1.09595e12 | + | 1.89824e12i | −0.342654 | + | 0.593495i | −0.984925 | − | 0.172983i | \(-0.944659\pi\) |
0.642270 | + | 0.766478i | \(0.277993\pi\) | |||||||
\(602\) | −1.75401e12 | − | 4.35600e12i | −0.544313 | − | 1.35177i | ||||
\(603\) | − | 2.72637e12i | − | 0.839763i | ||||||
\(604\) | − | 1.54911e12i | − | 0.473605i | ||||||
\(605\) | 5.91273e12 | + | 3.41372e12i | 1.79428 | + | 1.03593i | ||||
\(606\) | −9.12685e11 | + | 5.26939e11i | −0.274912 | + | 0.158721i | ||||
\(607\) | 1.73713e11 | 0.0519378 | 0.0259689 | − | 0.999663i | \(-0.491733\pi\) | ||||
0.0259689 | + | 0.999663i | \(0.491733\pi\) | |||||||
\(608\) | 2.65933e12 | − | 4.60610e12i | 0.789236 | − | 1.36700i | ||||
\(609\) | 5.60364e12 | − | 2.25639e12i | 1.65079 | − | 0.664718i | ||||
\(610\) | 3.24776e12 | 0.949729 | ||||||||
\(611\) | 5.47497e12 | − | 9.62586e11i | 1.58927 | − | 0.279418i | ||||
\(612\) | −1.05245e12 | − | 1.82289e12i | −0.303263 | − | 0.525267i | ||||
\(613\) | 9.51581e11i | 0.272191i | 0.990696 | + | 0.136095i | \(0.0434554\pi\) | ||||
−0.990696 | + | 0.136095i | \(0.956545\pi\) | |||||||
\(614\) | −1.00500e12 | − | 1.74070e12i | −0.285369 | − | 0.494273i | ||||
\(615\) | 1.40822e12 | + | 2.43912e12i | 0.396948 | + | 0.687535i | ||||
\(616\) | −3.38997e12 | − | 2.65492e12i | −0.948598 | − | 0.742915i | ||||
\(617\) | −5.50130e12 | + | 3.17618e12i | −1.52821 | + | 0.882311i | −0.528769 | + | 0.848765i | \(0.677346\pi\) |
−0.999437 | + | 0.0335451i | \(0.989320\pi\) | |||||||
\(618\) | − | 2.39654e12i | − | 0.660900i | ||||||
\(619\) | 3.23123e12 | − | 1.86555e12i | 0.884626 | − | 0.510739i | 0.0124450 | − | 0.999923i | \(-0.496039\pi\) |
0.872181 | + | 0.489184i | \(0.162705\pi\) | |||||||
\(620\) | −1.59617e11 | + | 2.76465e11i | −0.0433827 | + | 0.0751411i | ||||
\(621\) | 3.86886e12 | + | 6.70107e12i | 1.04393 | + | 1.80814i | ||||
\(622\) | −6.80789e11 | − | 3.93053e11i | −0.182371 | − | 0.105292i | ||||
\(623\) | −3.87215e12 | − | 5.48815e11i | −1.02981 | − | 0.145959i | ||||
\(624\) | 7.98916e12 | + | 2.91230e12i | 2.10946 | + | 0.768964i | ||||
\(625\) | 1.20875e12 | − | 2.09361e12i | 0.316866 | − | 0.548828i | ||||
\(626\) | 3.13512e11i | 0.0815961i | ||||||||
\(627\) | −2.36645e13 | −6.11496 | ||||||||
\(628\) | 2.41569e11 | 0.0619760 | ||||||||
\(629\) | − | 8.00089e11i | − | 0.203803i | ||||||
\(630\) | 7.11154e12 | + | 5.56955e12i | 1.79858 | + | 1.40860i | ||||
\(631\) | 1.66552e12 | − | 9.61589e11i | 0.418233 | − | 0.241467i | −0.276088 | − | 0.961132i | \(-0.589038\pi\) |
0.694321 | + | 0.719666i | \(0.255705\pi\) | |||||||
\(632\) | 2.88616e12 | + | 1.66632e12i | 0.719603 | + | 0.415463i | ||||
\(633\) | −5.56455e12 | + | 9.63809e12i | −1.37757 | + | 2.38602i | ||||
\(634\) | 3.61092e12 | 0.887597 | ||||||||
\(635\) | −4.57179e12 | + | 2.63952e12i | −1.11585 | + | 0.644234i | ||||
\(636\) | −2.02297e12 | −0.490267 | ||||||||
\(637\) | −3.35496e12 | − | 2.45209e12i | −0.807347 | − | 0.590077i | ||||
\(638\) | −9.30863e12 | −2.22430 | ||||||||
\(639\) | −1.93993e12 | + | 1.12002e12i | −0.460290 | + | 0.265748i | ||||
\(640\) | −3.98678e12 | −0.939318 | ||||||||
\(641\) | 2.09269e12 | − | 3.62465e12i | 0.489603 | − | 0.848017i | −0.510326 | − | 0.859981i | \(-0.670475\pi\) |
0.999928 | + | 0.0119645i | \(0.00380850\pi\) | |||||||
\(642\) | 7.10816e12 | + | 4.10390e12i | 1.65139 | + | 0.953430i | ||||
\(643\) | −5.23467e11 | + | 3.02224e11i | −0.120765 | + | 0.0697235i | −0.559166 | − | 0.829056i | \(-0.688878\pi\) |
0.438401 | + | 0.898780i | \(0.355545\pi\) | |||||||
\(644\) | −1.50117e12 | − | 1.17567e12i | −0.343908 | − | 0.269339i | ||||
\(645\) | 8.04919e12i | 1.83119i | ||||||||
\(646\) | −5.74130e12 | −1.29707 | ||||||||
\(647\) | −4.36931e11 | −0.0980264 | −0.0490132 | − | 0.998798i | \(-0.515608\pi\) | ||||
−0.0490132 | + | 0.998798i | \(0.515608\pi\) | |||||||
\(648\) | − | 5.10520e12i | − | 1.13743i | ||||||
\(649\) | 3.65143e12 | − | 6.32446e12i | 0.807908 | − | 1.39934i | ||||
\(650\) | −1.54574e12 | + | 2.71766e11i | −0.339647 | + | 0.0597152i | ||||
\(651\) | −1.80471e12 | − | 2.55789e11i | −0.393816 | − | 0.0558171i | ||||
\(652\) | −1.15961e12 | − | 6.69500e11i | −0.251303 | − | 0.145090i | ||||
\(653\) | −1.57512e12 | − | 2.72819e12i | −0.339004 | − | 0.587173i | 0.645241 | − | 0.763979i | \(-0.276757\pi\) |
−0.984246 | + | 0.176806i | \(0.943423\pi\) | |||||||
\(654\) | 1.84249e12 | − | 3.19128e12i | 0.393826 | − | 0.682127i | ||||
\(655\) | 4.33716e12 | − | 2.50406e12i | 0.920703 | − | 0.531568i | ||||
\(656\) | 3.09269e12i | 0.652032i | ||||||||
\(657\) | 1.82201e12 | − | 1.05194e12i | 0.381511 | − | 0.220266i | ||||
\(658\) | 7.39111e12 | + | 5.78851e12i | 1.53707 | + | 1.20379i | ||||
\(659\) | −1.93254e12 | − | 3.34725e12i | −0.399157 | − | 0.691360i | 0.594465 | − | 0.804121i | \(-0.297364\pi\) |
−0.993622 | + | 0.112761i | \(0.964030\pi\) | |||||||
\(660\) | −3.19295e12 | − | 5.53036e12i | −0.655006 | − | 1.13450i | ||||
\(661\) | 1.76284e12i | 0.359176i | 0.983742 | + | 0.179588i | \(0.0574764\pi\) | ||||
−0.983742 | + | 0.179588i | \(0.942524\pi\) | |||||||
\(662\) | 2.58358e12 | + | 4.47489e12i | 0.522831 | + | 0.905570i | ||||
\(663\) | −9.07020e11 | − | 5.15892e12i | −0.182308 | − | 1.03693i | ||||
\(664\) | 1.43268e12 | 0.286018 | ||||||||
\(665\) | 7.24225e12 | − | 2.91621e12i | 1.43607 | − | 0.578257i | ||||
\(666\) | −2.38734e12 | + | 4.13499e12i | −0.470197 | + | 0.814405i | ||||
\(667\) | 4.76422e12 | 0.932020 | ||||||||
\(668\) | −5.14417e11 | + | 2.96999e11i | −0.0999589 | + | 0.0577113i | ||||
\(669\) | −1.07820e13 | − | 6.22497e12i | −2.08104 | − | 1.20149i | ||||
\(670\) | − | 2.00673e12i | − | 0.384727i | ||||||
\(671\) | − | 9.05485e12i | − | 1.72437i | ||||||
\(672\) | 3.06098e12 | + | 7.60178e12i | 0.579027 | + | 1.43798i | ||||
\(673\) | 2.34364e12 | − | 4.05930e12i | 0.440375 | − | 0.762752i | −0.557342 | − | 0.830283i | \(-0.688179\pi\) |
0.997717 | + | 0.0675310i | \(0.0215121\pi\) | |||||||
\(674\) | 1.35350e12 | − | 7.81444e11i | 0.252632 | − | 0.145857i | ||||
\(675\) | 1.70418e12 | + | 2.95172e12i | 0.315971 | + | 0.547278i | ||||
\(676\) | −1.92774e12 | − | 1.62083e12i | −0.355050 | − | 0.298523i | ||||
\(677\) | 3.20356e11 | − | 5.54873e11i | 0.0586117 | − | 0.101518i | −0.835231 | − | 0.549900i | \(-0.814666\pi\) |
0.893842 | + | 0.448381i | \(0.147999\pi\) | |||||||
\(678\) | −1.76219e12 | − | 1.01740e12i | −0.320273 | − | 0.184910i | ||||
\(679\) | 2.94819e12 | + | 4.17859e11i | 0.532281 | + | 0.0754424i | ||||
\(680\) | 8.95319e11 | + | 1.55074e12i | 0.160579 | + | 0.278130i | ||||
\(681\) | −5.45058e12 | − | 3.14690e12i | −0.971138 | − | 0.560687i | ||||
\(682\) | 2.43245e12 | + | 1.40437e12i | 0.430540 | + | 0.248572i | ||||
\(683\) | 5.65717e12 | + | 3.26617e12i | 0.994733 | + | 0.574309i | 0.906686 | − | 0.421807i | \(-0.138604\pi\) |
0.0880470 | + | 0.996116i | \(0.471937\pi\) | |||||||
\(684\) | 9.40245e12 | + | 5.42851e12i | 1.64244 | + | 0.948261i | ||||
\(685\) | 3.82191e12 | + | 6.61974e12i | 0.663243 | + | 1.14877i | ||||
\(686\) | −7.09072e11 | − | 6.98203e12i | −0.122245 | − | 1.20371i | ||||
\(687\) | 4.48271e12 | + | 2.58809e12i | 0.767777 | + | 0.443276i | ||||
\(688\) | −4.41933e12 | + | 7.65450e12i | −0.751983 | + | 1.30247i | ||||
\(689\) | −3.26680e12 | − | 1.19085e12i | −0.552251 | − | 0.201313i | ||||
\(690\) | 5.15709e12 | + | 8.93233e12i | 0.866131 | + | 1.50018i | ||||
\(691\) | 1.00895e13 | − | 5.82517e12i | 1.68352 | − | 0.971979i | 0.724226 | − | 0.689563i | \(-0.242197\pi\) |
0.959292 | − | 0.282417i | \(-0.0911361\pi\) | |||||||
\(692\) | −1.29086e11 | + | 2.23583e11i | −0.0213994 | + | 0.0370648i | ||||
\(693\) | 1.55281e13 | − | 1.98272e13i | 2.55752 | − | 3.26559i | ||||
\(694\) | 1.39545e12i | 0.228347i | ||||||||
\(695\) | − | 2.13653e12i | − | 0.347359i | ||||||
\(696\) | −6.18892e12 | − | 3.57317e12i | −0.999707 | − | 0.577181i | ||||
\(697\) | 1.64984e12 | − | 9.52538e11i | 0.264786 | − | 0.152874i | ||||
\(698\) | 7.94511e12 | 1.26692 | ||||||||
\(699\) | −4.16158e12 | + | 7.20807e12i | −0.659342 | + | 1.14201i | ||||
\(700\) | −6.61241e11 | − | 5.17865e11i | −0.104092 | − | 0.0815221i | ||||
\(701\) | −1.34885e12 | −0.210977 | −0.105488 | − | 0.994421i | \(-0.533641\pi\) | ||||
−0.105488 | + | 0.994421i | \(0.533641\pi\) | |||||||
\(702\) | −5.91156e12 | + | 1.62168e13i | −0.918724 | + | 2.52028i | ||||
\(703\) | 2.06342e12 | + | 3.57395e12i | 0.318632 | + | 0.551886i | ||||
\(704\) | 2.48890e12i | 0.381883i | ||||||||
\(705\) | −8.04599e12 | − | 1.39361e13i | −1.22667 | − | 2.12466i | ||||
\(706\) | 7.06904e12 | + | 1.22439e13i | 1.07088 | + | 1.85481i | ||||
\(707\) | −7.63181e11 | − | 5.97701e11i | −0.114879 | − | 0.0899698i | ||||
\(708\) | −4.20097e12 | + | 2.42543e12i | −0.628347 | + | 0.362776i | ||||
\(709\) | 2.51191e12i | 0.373333i | 0.982423 | + | 0.186666i | \(0.0597683\pi\) | ||||
−0.982423 | + | 0.186666i | \(0.940232\pi\) | |||||||
\(710\) | −1.42787e12 | + | 8.24383e11i | −0.210876 | + | 0.121749i | ||||
\(711\) | −9.74597e12 | + | 1.68805e13i | −1.43025 | + | 2.47727i | ||||
\(712\) | 2.31326e12 | + | 4.00669e12i | 0.337338 | + | 0.584286i | ||||
\(713\) | −1.24494e12 | − | 7.18768e11i | −0.180404 | − | 0.104156i | ||||
\(714\) | 5.45436e12 | − | 6.96445e12i | 0.785420 | − | 1.00287i | ||||
\(715\) | −1.90062e12 | − | 1.08103e13i | −0.271968 | − | 1.54689i | ||||
\(716\) | 7.30209e10 | − | 1.26476e11i | 0.0103834 | − | 0.0179845i | ||||
\(717\) | − | 1.39629e13i | − | 1.97305i | ||||||
\(718\) | −3.94256e12 | −0.553628 | ||||||||
\(719\) | −1.34093e13 | −1.87123 | −0.935616 | − | 0.353020i | \(-0.885155\pi\) | ||||
−0.935616 | + | 0.353020i | \(0.885155\pi\) | |||||||
\(720\) | − | 1.70019e13i | − | 2.35777i | ||||||
\(721\) | 2.04483e12 | − | 8.23383e11i | 0.281805 | − | 0.113473i | ||||
\(722\) | 1.79954e13 | − | 1.03896e13i | 2.46459 | − | 1.42293i | ||||
\(723\) | −5.96466e12 | − | 3.44370e12i | −0.811827 | − | 0.468709i | ||||
\(724\) | 3.27631e11 | − | 5.67474e11i | 0.0443161 | − | 0.0767578i | ||||
\(725\) | 2.09857e12 | 0.282099 | ||||||||
\(726\) | −3.45555e13 | + | 1.99506e13i | −4.61639 | + | 2.66528i | ||||
\(727\) | 5.22725e12 | 0.694014 | 0.347007 | − | 0.937863i | \(-0.387198\pi\) | ||||
0.347007 | + | 0.937863i | \(0.387198\pi\) | |||||||
\(728\) | 1.63381e11 | + | 4.91329e12i | 0.0215581 | + | 0.648307i | ||||
\(729\) | −5.40636e11 | −0.0708975 | ||||||||
\(730\) | 1.34108e12 | − | 7.74275e11i | 0.174785 | − | 0.100912i | ||||
\(731\) | 5.44455e12 | 0.705235 | ||||||||
\(732\) | −3.00730e12 | + | 5.20880e12i | −0.387148 | + | 0.670561i | ||||
\(733\) | −1.10390e13 | − | 6.37338e12i | −1.41241 | − | 0.815458i | −0.416799 | − | 0.908999i | \(-0.636848\pi\) |
−0.995615 | + | 0.0935406i | \(0.970182\pi\) | |||||||
\(734\) | 3.97008e12 | − | 2.29213e12i | 0.504855 | − | 0.291478i | ||||
\(735\) | −3.34281e12 | + | 1.15556e13i | −0.422492 | + | 1.46050i | ||||
\(736\) | 6.46304e12i | 0.811870i | ||||||||
\(737\) | −5.59483e12 | −0.698527 | ||||||||
\(738\) | −1.13689e13 | −1.41080 | ||||||||
\(739\) | − | 2.07917e12i | − | 0.256443i | −0.991746 | − | 0.128221i | \(-0.959073\pi\) | ||
0.991746 | − | 0.128221i | \(-0.0409268\pi\) | |||||||
\(740\) | −5.56817e11 | + | 9.64436e11i | −0.0682606 | + | 0.118231i | ||||
\(741\) | 1.73564e13 | + | 2.07054e13i | 2.11484 | + | 2.52291i | ||||
\(742\) | −2.19338e12 | − | 5.44714e12i | −0.265641 | − | 0.659707i | ||||
\(743\) | 3.62249e12 | + | 2.09144e12i | 0.436071 | + | 0.251766i | 0.701930 | − | 0.712246i | \(-0.252322\pi\) |
−0.265859 | + | 0.964012i | \(0.585655\pi\) | |||||||
\(744\) | 1.07815e12 | + | 1.86742e12i | 0.129004 | + | 0.223441i | ||||
\(745\) | 1.95324e12 | − | 3.38312e12i | 0.232302 | − | 0.402359i | ||||
\(746\) | 8.04446e12 | − | 4.64447e12i | 0.950982 | − | 0.549050i | ||||
\(747\) | 8.37945e12i | 0.984629i | ||||||||
\(748\) | −3.74079e12 | + | 2.15975e12i | −0.436924 | + | 0.252258i | ||||
\(749\) | −1.05946e12 | + | 7.47498e12i | −0.123003 | + | 0.867844i | ||||
\(750\) | 1.02414e13 | + | 1.77387e13i | 1.18191 | + | 2.04713i | ||||
\(751\) | 2.08962e10 | + | 3.61933e10i | 0.00239711 | + | 0.00415191i | 0.867221 | − | 0.497923i | \(-0.165904\pi\) |
−0.864824 | + | 0.502075i | \(0.832570\pi\) | |||||||
\(752\) | − | 1.76703e13i | − | 2.01495i | ||||||
\(753\) | 4.61192e12 | + | 7.98807e12i | 0.522762 | + | 0.905450i | ||||
\(754\) | 6.82728e12 | + | 8.14464e12i | 0.769266 | + | 0.917700i | ||||
\(755\) | −7.70771e12 | −0.863305 | ||||||||
\(756\) | −8.56854e12 | + | 3.45026e12i | −0.954022 | + | 0.384152i | ||||
\(757\) | 1.10725e11 | − | 1.91782e11i | 0.0122551 | − | 0.0212264i | −0.859833 | − | 0.510576i | \(-0.829432\pi\) |
0.872088 | + | 0.489349i | \(0.162766\pi\) | |||||||
\(758\) | −4.58747e12 | −0.504733 | ||||||||
\(759\) | 2.49036e13 | − | 1.43781e13i | 2.72380 | − | 1.57258i | ||||
\(760\) | −7.99867e12 | − | 4.61804e12i | −0.869675 | − | 0.502107i | ||||
\(761\) | − | 7.52491e12i | − | 0.813337i | −0.913576 | − | 0.406668i | \(-0.866690\pi\) | ||
0.913576 | − | 0.406668i | \(-0.133310\pi\) | |||||||
\(762\) | − | 3.08521e13i | − | 3.31503i | ||||||
\(763\) | 3.35597e12 | + | 4.75656e11i | 0.358474 | + | 0.0508080i | ||||
\(764\) | 4.29553e12 | − | 7.44007e12i | 0.456138 | − | 0.790055i | ||||
\(765\) | −9.06993e12 | + | 5.23653e12i | −0.957475 | + | 0.552799i | ||||
\(766\) | 8.30535e12 | + | 1.43853e13i | 0.871623 | + | 1.50970i | ||||
\(767\) | −8.21171e12 | + | 1.44375e12i | −0.856751 | + | 0.150630i | ||||
\(768\) | 9.86789e12 | − | 1.70917e13i | 1.02353 | − | 1.77280i | ||||
\(769\) | −8.44648e12 | − | 4.87658e12i | −0.870978 | − | 0.502859i | −0.00330487 | − | 0.999995i | \(-0.501052\pi\) |
−0.867673 | + | 0.497135i | \(0.834385\pi\) | |||||||
\(770\) | 1.14294e13 | − | 1.45937e13i | 1.17169 | − | 1.49609i | ||||
\(771\) | −1.09935e13 | − | 1.90413e13i | −1.12045 | − | 1.94067i | ||||
\(772\) | −4.60335e12 | − | 2.65775e12i | −0.466441 | − | 0.269300i | ||||
\(773\) | 6.30827e12 | + | 3.64208e12i | 0.635481 | + | 0.366895i | 0.782872 | − | 0.622183i | \(-0.213754\pi\) |
−0.147391 | + | 0.989078i | \(0.547087\pi\) | |||||||
\(774\) | −2.81383e13 | − | 1.62457e13i | −2.81815 | − | 1.62706i | ||||
\(775\) | −5.48378e11 | − | 3.16606e11i | −0.0546038 | − | 0.0315255i | ||||
\(776\) | −1.76128e12 | − | 3.05063e12i | −0.174362 | − | 0.302003i | ||||
\(777\) | −6.29565e12 | − | 8.92309e11i | −0.619650 | − | 0.0878255i | ||||
\(778\) | 1.75286e13 | + | 1.01201e13i | 1.71529 | + | 0.990324i | ||||
\(779\) | −4.91317e12 | + | 8.50986e12i | −0.478017 | + | 0.827949i | ||||
\(780\) | −2.49699e12 | + | 6.84986e12i | −0.241541 | + | 0.662607i | ||||
\(781\) | 2.29840e12 | + | 3.98095e12i | 0.221053 | + | 0.382875i | ||||
\(782\) | 6.04192e12 | − | 3.48831e12i | 0.577756 | − | 0.333568i | ||||
\(783\) | 1.15399e13 | − | 1.99878e13i | 1.09717 | − | 1.90036i | ||||
\(784\) | −9.52339e12 | + | 9.15366e12i | −0.900263 | + | 0.865312i | ||||
\(785\) | − | 1.20194e12i | − | 0.112972i | ||||||
\(786\) | 2.92687e13i | 2.73529i | ||||||||
\(787\) | 1.45794e13 | + | 8.41742e12i | 1.35473 | + | 0.782155i | 0.988908 | − | 0.148529i | \(-0.0474538\pi\) |
0.365824 | + | 0.930684i | \(0.380787\pi\) | |||||||
\(788\) | −6.67419e12 | + | 3.85335e12i | −0.616639 | + | 0.356017i | ||||
\(789\) | 2.91289e13 | 2.67595 | ||||||||
\(790\) | −7.17348e12 | + | 1.24248e13i | −0.655251 | + | 1.13493i | ||||
\(791\) | 2.62652e11 | − | 1.85313e12i | 0.0238554 | − | 0.168311i | ||||
\(792\) | −2.97928e13 | −2.69059 | ||||||||
\(793\) | −7.92260e12 | + | 6.64116e12i | −0.711440 | + | 0.596368i | ||||
\(794\) | 2.62251e12 | + | 4.54232e12i | 0.234167 | + | 0.405588i | ||||
\(795\) | 1.00654e13i | 0.893676i | ||||||||
\(796\) | −2.56430e12 | − | 4.44149e12i | −0.226391 | − | 0.392121i | ||||
\(797\) | −3.01642e12 | − | 5.22458e12i | −0.264807 | − | 0.458658i | 0.702706 | − | 0.711480i | \(-0.251975\pi\) |
−0.967513 | + | 0.252822i | \(0.918641\pi\) | |||||||
\(798\) | −6.40306e12 | + | 4.51765e13i | −0.558952 | + | 3.94366i | ||||
\(799\) | −9.42650e12 | + | 5.44239e12i | −0.818257 | + | 0.472421i | ||||
\(800\) | 2.84687e12i | 0.245733i | ||||||||
\(801\) | −2.34343e13 | + | 1.35298e13i | −2.01143 | + | 1.16130i | ||||
\(802\) | 1.14119e13 | − | 1.97660e13i | 0.974031 | − | 1.68707i | ||||
\(803\) | −2.15870e12 | − | 3.73898e12i | −0.183220 | − | 0.317346i | ||||
\(804\) | 3.21842e12 | + | 1.85816e12i | 0.271638 | + | 0.156830i | ||||
\(805\) | −5.84963e12 | + | 7.46915e12i | −0.490961 | + | 0.626888i | ||||
\(806\) | −5.55279e11 | − | 3.15830e12i | −0.0463451 | − | 0.263600i | ||||
\(807\) | −7.21499e12 | + | 1.24967e13i | −0.598832 | + | 1.03721i | ||||
\(808\) | 1.14677e12i | 0.0946512i | ||||||||
\(809\) | 1.76807e13 | 1.45121 | 0.725606 | − | 0.688110i | \(-0.241559\pi\) | ||||
0.725606 | + | 0.688110i | \(0.241559\pi\) | |||||||
\(810\) | 2.19777e13 | 1.79391 | ||||||||
\(811\) | 1.82336e13i | 1.48006i | 0.672573 | + | 0.740031i | \(0.265189\pi\) | ||||
−0.672573 | + | 0.740031i | \(0.734811\pi\) | |||||||
\(812\) | −7.98122e11 | + | 5.63112e12i | −0.0644269 | + | 0.454562i | ||||
\(813\) | −3.16501e13 | + | 1.82732e13i | −2.54078 | + | 1.46692i | ||||
\(814\) | 8.48548e12 | + | 4.89910e12i | 0.677434 | + | 0.391116i | ||||
\(815\) | −3.33114e12 | + | 5.76971e12i | −0.264475 | + | 0.458084i | ||||
\(816\) | −1.66503e13 | −1.31467 | ||||||||
\(817\) | −2.43205e13 | + | 1.40414e13i | −1.90973 | + | 1.10259i | ||||
\(818\) | 2.77332e11 | 0.0216576 | ||||||||
\(819\) | −2.87368e13 | + | 9.55581e11i | −2.23183 | + | 0.0742147i | ||||
\(820\) | −2.65165e12 | −0.204811 | ||||||||
\(821\) | 1.43421e13 | − | 8.28039e12i | 1.10171 | − | 0.636073i | 0.165040 | − | 0.986287i | \(-0.447225\pi\) |
0.936670 | + | 0.350214i | \(0.113891\pi\) | |||||||
\(822\) | −4.46724e13 | −3.41284 | ||||||||
\(823\) | −6.73526e12 | + | 1.16658e13i | −0.511746 | + | 0.886371i | 0.488161 | + | 0.872754i | \(0.337668\pi\) |
−0.999907 | + | 0.0136171i | \(0.995665\pi\) | |||||||
\(824\) | −2.25840e12 | − | 1.30389e12i | −0.170659 | − | 0.0985300i | ||||
\(825\) | 1.09697e13 | − | 6.33334e12i | 0.824424 | − | 0.475982i | ||||
\(826\) | −1.10857e13 | − | 8.68197e12i | −0.828612 | − | 0.648945i | ||||
\(827\) | − | 1.90251e13i | − | 1.41433i | −0.707046 | − | 0.707167i | \(-0.749973\pi\) | ||
0.707046 | − | 0.707167i | \(-0.250027\pi\) | |||||||
\(828\) | −1.31930e13 | −0.975456 | ||||||||
\(829\) | −1.12966e12 | −0.0830714 | −0.0415357 | − | 0.999137i | \(-0.513225\pi\) | ||||
−0.0415357 | + | 0.999137i | \(0.513225\pi\) | |||||||
\(830\) | 6.16765e12i | 0.451096i | ||||||||
\(831\) | 1.04054e13 | − | 1.80227e13i | 0.756928 | − | 1.31104i | ||||
\(832\) | 2.17768e12 | − | 1.82545e12i | 0.157557 | − | 0.132073i | ||||
\(833\) | 7.81634e12 | + | 2.26111e12i | 0.562472 | + | 0.162712i | ||||
\(834\) | 1.08136e13 | + | 6.24322e12i | 0.773966 | + | 0.446850i | ||||
\(835\) | 1.47774e12 | + | 2.55952e12i | 0.105198 | + | 0.182209i | ||||
\(836\) | 1.11399e13 | − | 1.92949e13i | 0.788777 | − | 1.36620i | ||||
\(837\) | −6.03102e12 | + | 3.48201e12i | −0.424743 | + | 0.245226i | ||||
\(838\) | − | 3.06133e13i | − | 2.14443i | ||||||
\(839\) | −2.97293e12 | + | 1.71642e12i | −0.207136 | + | 0.119590i | −0.599980 | − | 0.800015i | \(-0.704825\pi\) |
0.392844 | + | 0.919605i | \(0.371491\pi\) | |||||||
\(840\) | 1.32008e13 | − | 5.31551e12i | 0.914836 | − | 0.368373i | ||||
\(841\) | 1.48291e11 | + | 2.56848e11i | 0.0102220 | + | 0.0177050i | ||||
\(842\) | 1.07740e12 | + | 1.86611e12i | 0.0738705 | + | 0.127948i | ||||
\(843\) | 4.15484e13i | 2.83354i | ||||||||
\(844\) | −5.23896e12 | − | 9.07414e12i | −0.355389 | − | 0.615551i | ||||
\(845\) | −8.06455e12 | + | 9.59162e12i | −0.544158 | + | 0.647197i | ||||
\(846\) | 6.49569e13 | 4.35972 | ||||||||
\(847\) | −2.88951e13 | − | 2.26298e13i | −1.92907 | − | 1.51079i | ||||
\(848\) | −5.52633e12 | + | 9.57188e12i | −0.366991 | + | 0.635647i | ||||
\(849\) | 3.82422e13 | 2.52615 | ||||||||
\(850\) | 2.66137e12 | − | 1.53655e12i | 0.174872 | − | 0.100963i | ||||
\(851\) | −4.34293e12 | − | 2.50739e12i | −0.283857 | − | 0.163885i | ||||
\(852\) | − | 3.05339e12i | − | 0.198520i | ||||||
\(853\) | − | 2.62750e13i | − | 1.69931i | −0.527342 | − | 0.849653i | \(-0.676812\pi\) | ||
0.527342 | − | 0.849653i | \(-0.323188\pi\) | |||||||
\(854\) | −1.72861e13 | − | 2.45003e12i | −1.11208 | − | 0.157620i | ||||
\(855\) | 2.70099e13 | − | 4.67825e13i | 1.72852 | − | 2.99389i | ||||
\(856\) | 7.73471e12 | − | 4.46564e12i | 0.492393 | − | 0.284283i | ||||
\(857\) | −1.45376e13 | − | 2.51799e13i | −0.920617 | − | 1.59456i | −0.798463 | − | 0.602044i | \(-0.794353\pi\) |
−0.122154 | − | 0.992511i | \(-0.538980\pi\) | |||||||
\(858\) | 6.02677e13 | + | 2.19695e13i | 3.79658 | + | 1.38397i | ||||
\(859\) | 6.84063e12 | − | 1.18483e13i | 0.428674 | − | 0.742485i | −0.568082 | − | 0.822972i | \(-0.692314\pi\) |
0.996756 | + | 0.0804875i | \(0.0256477\pi\) | |||||||
\(860\) | −6.56292e12 | − | 3.78910e12i | −0.409123 | − | 0.236207i | ||||
\(861\) | −5.65522e12 | − | 1.40444e13i | −0.350699 | − | 0.870944i | ||||
\(862\) | 3.54267e12 | + | 6.13609e12i | 0.218549 | + | 0.378538i | ||||
\(863\) | 2.20709e13 | + | 1.27426e13i | 1.35448 | + | 0.782007i | 0.988873 | − | 0.148764i | \(-0.0475295\pi\) |
0.365603 | + | 0.930771i | \(0.380863\pi\) | |||||||
\(864\) | 2.71150e13 | + | 1.56548e13i | 1.65538 | + | 0.955734i | ||||
\(865\) | 1.11245e12 | + | 6.42275e11i | 0.0675630 | + | 0.0390075i | ||||
\(866\) | 4.31521e12 | + | 2.49139e12i | 0.260718 | + | 0.150526i | ||||
\(867\) | −9.82941e12 | − | 1.70250e13i | −0.590801 | − | 1.02330i | ||||
\(868\) | 1.05811e12 | − | 1.35106e12i | 0.0632694 | − | 0.0807861i | ||||
\(869\) | 3.46408e13 | + | 1.99999e13i | 2.06062 | + | 1.18970i | ||||
\(870\) | 1.53824e13 | − | 2.66431e13i | 0.910306 | − | 1.57670i | ||||
\(871\) | 4.10345e12 | + | 4.89523e12i | 0.241583 | + | 0.288198i | ||||
\(872\) | −2.00490e12 | − | 3.47258e12i | −0.117427 | − | 0.203389i | ||||
\(873\) | 1.78425e13 | − | 1.03014e13i | 1.03966 | − | 0.600247i | ||||
\(874\) | −1.79926e13 | + | 3.11641e13i | −1.04302 | + | 1.80656i | ||||
\(875\) | −1.16168e13 | + | 1.48330e13i | −0.669960 | + | 0.855444i | ||||
\(876\) | 2.86780e12i | 0.164543i | ||||||||
\(877\) | − | 2.56926e13i | − | 1.46659i | −0.679908 | − | 0.733297i | \(-0.737980\pi\) | ||
0.679908 | − | 0.733297i | \(-0.262020\pi\) | |||||||
\(878\) | −1.56688e13 | − | 9.04637e12i | −0.889836 | − | 0.513747i | ||||
\(879\) | 2.42396e13 | − | 1.39947e13i | 1.36954 | − | 0.790705i | ||||
\(880\) | −3.48899e13 | −1.96123 | ||||||||
\(881\) | −5.10693e12 | + | 8.84547e12i | −0.285607 | + | 0.494686i | −0.972756 | − | 0.231831i | \(-0.925529\pi\) |
0.687149 | + | 0.726516i | \(0.258862\pi\) | |||||||
\(882\) | −3.36493e13 | − | 3.50085e13i | −1.87227 | − | 1.94789i | ||||
\(883\) | −1.20548e13 | −0.667321 | −0.333661 | − | 0.942693i | \(-0.608284\pi\) | ||||
−0.333661 | + | 0.942693i | \(0.608284\pi\) | |||||||
\(884\) | 4.63331e12 | + | 1.68899e12i | 0.255186 | + | 0.0930234i | ||||
\(885\) | 1.20679e13 | + | 2.09022e13i | 0.661282 | + | 1.14537i | ||||
\(886\) | 2.68398e12i | 0.146328i | ||||||||
\(887\) | 8.54945e12 | + | 1.48081e13i | 0.463748 | + | 0.803235i | 0.999144 | − | 0.0413661i | \(-0.0131710\pi\) |
−0.535396 | + | 0.844601i | \(0.679838\pi\) | |||||||
\(888\) | 3.76109e12 | + | 6.51441e12i | 0.202981 | + | 0.351574i | ||||
\(889\) | 2.63244e13 | − | 1.05999e13i | 1.41351 | − | 0.569174i | ||||
\(890\) | −1.72487e13 | + | 9.95853e12i | −0.921512 | + | 0.532035i | ||||
\(891\) | − | 6.12746e13i | − | 3.25710i | ||||||
\(892\) | 1.01511e13 | − | 5.86073e12i | 0.536872 | − | 0.309963i | ||||
\(893\) | 2.80717e13 | − | 4.86217e13i | 1.47719 | − | 2.55858i | ||||
\(894\) | 1.14152e13 | + | 1.97718e13i | 0.597677 | + | 1.03521i | ||||
\(895\) | −6.29290e11 | − | 3.63320e11i | −0.0327829 | − | 0.0189272i | ||||
\(896\) | 2.12195e13 | + | 3.00753e12i | 1.09989 | + | 0.155892i | ||||
\(897\) | −3.08454e13 | − | 1.12441e13i | −1.59083 | − | 0.579910i | ||||
\(898\) | −7.99119e12 | + | 1.38411e13i | −0.410079 | + | 0.710278i | ||||
\(899\) | 4.28784e12i | 0.218937i | ||||||||
\(900\) | −5.81133e12 | −0.295246 | ||||||||
\(901\) | 6.80836e12 | 0.344176 | ||||||||
\(902\) | 2.33303e13i | 1.17352i | ||||||||
\(903\) | 6.07210e12 | − | 4.28415e13i | 0.303909 | − | 2.14422i | ||||
\(904\) | −1.91752e12 | + | 1.10708e12i | −0.0954955 | + | 0.0551343i | ||||
\(905\) | −2.82351e12 | − | 1.63015e12i | −0.139917 | − | 0.0807811i | ||||
\(906\) | 2.25229e13 | − | 3.90108e13i | 1.11057 | − | 1.92357i | ||||
\(907\) | −1.51424e13 | −0.742953 | −0.371476 | − | 0.928442i | \(-0.621148\pi\) | ||||
−0.371476 | + | 0.928442i | \(0.621148\pi\) | |||||||
\(908\) | 5.13166e12 | − | 2.96276e12i | 0.250537 | − | 0.144647i | ||||
\(909\) | −6.70723e12 | −0.325841 | ||||||||
\(910\) | −2.11516e13 | + | 7.03351e11i | −1.02248 | + | 0.0340005i | ||||
\(911\) | 2.61869e13 | 1.25965 | 0.629827 | − | 0.776735i | \(-0.283126\pi\) | ||||
0.629827 | + | 0.776735i | \(0.283126\pi\) | |||||||
\(912\) | 7.43757e13 | − | 4.29408e13i | 3.56004 | − | 2.05539i | ||||
\(913\) | 1.71956e13 | 0.819029 | ||||||||
\(914\) | −6.71531e12 | + | 1.16313e13i | −0.318279 | + | 0.551276i | ||||
\(915\) | 2.59168e13 | + | 1.49630e13i | 1.22232 | + | 0.705708i | ||||
\(916\) | −4.22041e12 | + | 2.43666e12i | −0.198073 | + | 0.114357i | ||||
\(917\) | −2.49734e13 | + | 1.00559e13i | −1.16631 | + | 0.469635i | ||||
\(918\) | − | 3.37976e13i | − | 1.57070i | ||||||
\(919\) | −2.85097e13 | −1.31848 | −0.659239 | − | 0.751934i | \(-0.729121\pi\) | ||||
−0.659239 | + | 0.751934i | \(0.729121\pi\) | |||||||
\(920\) | 1.12233e13 | 0.516507 | ||||||||
\(921\) | − | 1.85208e13i | − | 0.848187i | ||||||
\(922\) | 1.12119e13 | − | 1.94197e13i | 0.510966 | − | 0.885019i | ||||
\(923\) | 1.79743e12 | − | 4.93078e12i | 0.0815161 | − | 0.223618i | ||||
\(924\) | 1.28224e13 | + | 3.18438e13i | 0.578690 | + | 1.43715i | ||||
\(925\) | −1.91299e12 | − | 1.10447e12i | −0.0859163 | − | 0.0496038i | ||||
\(926\) | 4.09904e12 | + | 7.09975e12i | 0.183203 | + | 0.317317i | ||||
\(927\) | 7.62618e12 | − | 1.32089e13i | 0.339194 | − | 0.587501i | ||||
\(928\) | 1.66950e13 | − | 9.63888e12i | 0.738961 | − | 0.426639i | ||||
\(929\) | 3.21436e13i | 1.41587i | 0.706278 | + | 0.707935i | \(0.250373\pi\) | ||||
−0.706278 | + | 0.707935i | \(0.749627\pi\) | |||||||
\(930\) | −8.03918e12 | + | 4.64142e12i | −0.352402 | + | 0.203459i | ||||
\(931\) | −4.07465e13 | + | 1.00580e13i | −1.77753 | + | 0.438772i | ||||
\(932\) | −3.91807e12 | − | 6.78630e12i | −0.170099 | − | 0.294620i | ||||
\(933\) | −3.62174e12 | − | 6.27304e12i | −0.156477 | − | 0.271026i | ||||
\(934\) | 3.30303e13i | 1.42021i | ||||||||
\(935\) | 1.07460e13 | + | 1.86126e13i | 0.459826 | + | 0.796442i | ||||
\(936\) | 2.18511e13 | + | 2.60674e13i | 0.930533 | + | 1.11008i | ||||
\(937\) | −4.87350e12 | −0.206544 | −0.103272 | − | 0.994653i | \(-0.532931\pi\) | ||||
−0.103272 | + | 0.994653i | \(0.532931\pi\) | |||||||
\(938\) | −1.51383e12 | + | 1.06807e13i | −0.0638504 | + | 0.450494i | ||||
\(939\) | −1.44441e12 | + | 2.50179e12i | −0.0606310 | + | 0.105016i | ||||
\(940\) | 1.51504e13 | 0.632920 | ||||||||
\(941\) | −2.39608e13 | + | 1.38338e13i | −0.996204 | + | 0.575158i | −0.907123 | − | 0.420866i | \(-0.861726\pi\) |
−0.0890808 | + | 0.996024i | \(0.528393\pi\) | |||||||
\(942\) | 6.08337e12 | + | 3.51223e12i | 0.251718 | + | 0.145330i | ||||
\(943\) | − | 1.19406e13i | − | 0.491726i | ||||||
\(944\) | 2.65030e13i | 1.08623i | ||||||||
\(945\) | 1.71670e13 | + | 4.26333e13i | 0.700247 | + | 1.73903i | ||||
\(946\) | −3.33380e13 | + | 5.77431e13i | −1.35341 | + | 2.34418i | ||||
\(947\) | −4.59802e12 | + | 2.65467e12i | −0.185779 | + | 0.107259i | −0.590005 | − | 0.807400i | \(-0.700874\pi\) |
0.404226 | + | 0.914659i | \(0.367541\pi\) | |||||||
\(948\) | −1.32847e13 | − | 2.30098e13i | −0.534214 | − | 0.925286i | ||||
\(949\) | −1.68817e12 | + | 4.63107e12i | −0.0675646 | + | 0.185346i | ||||
\(950\) | −7.92547e12 | + | 1.37273e13i | −0.315696 | + | 0.546801i | ||||
\(951\) | 2.88147e13 | + | 1.66362e13i | 1.14236 | + | 0.659540i | ||||
\(952\) | −3.59546e12 | − | 8.92915e12i | −0.141869 | − | 0.352325i | ||||
\(953\) | −1.43822e13 | − | 2.49107e13i | −0.564815 | − | 0.978289i | −0.997067 | − | 0.0765357i | \(-0.975614\pi\) |
0.432252 | − | 0.901753i | \(-0.357719\pi\) | |||||||
\(954\) | −3.51867e13 | − | 2.03151e13i | −1.37534 | − | 0.794055i | ||||
\(955\) | −3.70186e13 | − | 2.13727e13i | −1.44014 | − | 0.831465i | ||||
\(956\) | 1.13847e13 | + | 6.57294e12i | 0.440818 | + | 0.254506i | ||||
\(957\) | −7.42818e13 | − | 4.28866e13i | −2.86272 | − | 1.65279i | ||||
\(958\) | 1.04643e13 | + | 1.81246e13i | 0.401388 | + | 0.695224i | ||||
\(959\) | −1.53482e13 | − | 3.81165e13i | −0.585968 | − | 1.45522i | ||||
\(960\) | −7.12372e12 | − | 4.11288e12i | −0.270699 | − | 0.156288i | ||||
\(961\) | −1.25729e13 | + | 2.17769e13i | −0.475533 | + | 0.823647i | ||||
\(962\) | −1.93707e12 | − | 1.10176e13i | −0.0729217 | − | 0.414762i | ||||
\(963\) | 2.61186e13 | + | 4.52387e13i | 0.978658 | + | 1.69508i | ||||
\(964\) | 5.61565e12 | − | 3.24220e12i | 0.209437 | − | 0.120919i | ||||
\(965\) | −1.32238e13 | + | 2.29043e13i | −0.490889 | + | 0.850245i | ||||
\(966\) | −2.07101e13 | − | 5.14324e13i | −0.765217 | − | 1.90038i | ||||
\(967\) | − | 1.06351e13i | − | 0.391130i | −0.980691 | − | 0.195565i | \(-0.937346\pi\) | ||
0.980691 | − | 0.195565i | \(-0.0626540\pi\) | |||||||
\(968\) | 4.34184e13i | 1.58941i | ||||||||
\(969\) | −4.58149e13 | − | 2.64513e13i | −1.66936 | − | 0.963806i | ||||
\(970\) | 1.31329e13 | − | 7.58226e12i | 0.476307 | − | 0.274996i | ||||
\(971\) | 1.68726e12 | 0.0609110 | 0.0304555 | − | 0.999536i | \(-0.490304\pi\) | ||||
0.0304555 | + | 0.999536i | \(0.490304\pi\) | |||||||
\(972\) | −6.04002e12 | + | 1.04616e13i | −0.217040 | + | 0.375925i | ||||
\(973\) | −1.61175e12 | + | 1.13716e13i | −0.0576486 | + | 0.406738i | ||||
\(974\) | −2.55639e13 | −0.910149 | ||||||||
\(975\) | −1.35869e13 | − | 4.95287e12i | −0.481505 | − | 0.175524i | ||||
\(976\) | 1.64306e13 | + | 2.84587e13i | 0.579602 | + | 1.00390i | ||||
\(977\) | − | 1.69087e12i | − | 0.0593725i | −0.999559 | − | 0.0296862i | \(-0.990549\pi\) | ||
0.999559 | − | 0.0296862i | \(-0.00945081\pi\) | |||||||
\(978\) | −1.94681e13 | − | 3.37197e13i | −0.680452 | − | 1.17858i | ||||
\(979\) | 2.77647e13 | + | 4.80899e13i | 0.965986 | + | 1.67314i | ||||
\(980\) | −7.84830e12 | − | 8.16530e12i | −0.271805 | − | 0.282784i | ||||
\(981\) | 2.03104e13 | − | 1.17262e13i | 0.700176 | − | 0.404247i | ||||
\(982\) | 2.42545e13i | 0.832320i | ||||||||
\(983\) | 4.01134e13 | − | 2.31595e13i | 1.37025 | − | 0.791112i | 0.379288 | − | 0.925279i | \(-0.376169\pi\) |
0.990959 | + | 0.134167i | \(0.0428358\pi\) | |||||||
\(984\) | −8.95546e12 | + | 1.55113e13i | −0.304516 | + | 0.527437i | ||||
\(985\) | 1.91726e13 | + | 3.32079e13i | 0.648960 | + | 1.12403i | ||||
\(986\) | −1.80217e13 | − | 1.04048e13i | −0.607224 | − | 0.350581i | ||||
\(987\) | 3.23115e13 | + | 8.02439e13i | 1.08375 | + | 2.69144i | ||||
\(988\) | −2.50526e13 | + | 4.40464e12i | −0.836464 | + | 0.147063i | ||||
\(989\) | 1.70626e13 | − | 2.95533e13i | 0.567104 | − | 0.982252i | ||||
\(990\) | − | 1.28257e14i | − | 4.24349i | ||||||
\(991\) | −4.08335e13 | −1.34489 | −0.672443 | − | 0.740149i | \(-0.734755\pi\) | ||||
−0.672443 | + | 0.740149i | \(0.734755\pi\) | |||||||
\(992\) | −5.81680e12 | −0.190713 | ||||||||
\(993\) | 4.76122e13i | 1.55398i | ||||||||
\(994\) | 8.22169e12 | − | 3.31059e12i | 0.267130 | − | 0.107564i | ||||
\(995\) | −2.20990e13 | + | 1.27588e13i | −0.714773 | + | 0.412674i | ||||
\(996\) | −9.89177e12 | − | 5.71102e12i | −0.318498 | − | 0.183885i | ||||
\(997\) | −2.57110e13 | + | 4.45327e13i | −0.824120 | + | 1.42742i | 0.0784698 | + | 0.996916i | \(0.474997\pi\) |
−0.902590 | + | 0.430501i | \(0.858337\pi\) | |||||||
\(998\) | −3.87646e13 | −1.23694 | ||||||||
\(999\) | −2.10390e13 | + | 1.21468e13i | −0.668313 | + | 0.385850i |
(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 | 91.10.u.a.30.19 | yes | 164 | |
7.4 | even | 3 | 91.10.k.a.4.19 | ✓ | 164 | ||
13.10 | even | 6 | 91.10.k.a.23.64 | yes | 164 | ||
91.88 | even | 6 | inner | 91.10.u.a.88.19 | yes | 164 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.10.k.a.4.19 | ✓ | 164 | 7.4 | even | 3 | ||
91.10.k.a.23.64 | yes | 164 | 13.10 | even | 6 | ||
91.10.u.a.30.19 | yes | 164 | 1.1 | even | 1 | trivial | |
91.10.u.a.88.19 | yes | 164 | 91.88 | even | 6 | inner |