Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [11,13,Mod(2,11)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(11, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 13, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("11.2");
S:= CuspForms(chi, 13);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 13 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.d (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.0539319900\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 2.6 | ||
Character | \(\chi\) | \(=\) | 11.2 |
Dual form | 11.13.d.a.6.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.21322 | − | 2.66864i | −0.128332 | − | 0.0416975i | 0.244147 | − | 0.969738i | \(-0.421492\pi\) |
−0.372479 | + | 0.928041i | \(0.621492\pi\) | |||||||
\(3\) | −83.6942 | + | 60.8074i | −0.114807 | + | 0.0834121i | −0.643707 | − | 0.765272i | \(-0.722605\pi\) |
0.528900 | + | 0.848684i | \(0.322605\pi\) | |||||||
\(4\) | −3253.40 | − | 2363.73i | −0.794287 | − | 0.577083i | ||||
\(5\) | 3579.35 | + | 11016.1i | 0.229078 | + | 0.705031i | 0.997852 | + | 0.0655099i | \(0.0208674\pi\) |
−0.768773 | + | 0.639521i | \(0.779133\pi\) | |||||||
\(6\) | 849.672 | − | 276.075i | 0.0182114 | − | 0.00591725i | ||||
\(7\) | 61235.8 | − | 84283.8i | 0.520496 | − | 0.716401i | −0.465149 | − | 0.885232i | \(-0.653999\pi\) |
0.985645 | + | 0.168831i | \(0.0539994\pi\) | |||||||
\(8\) | 41204.4 | + | 56713.0i | 0.157182 | + | 0.216343i | ||||
\(9\) | −160917. | + | 495252.i | −0.302794 | + | 0.931904i | ||||
\(10\) | − | 100030.i | − | 0.100030i | ||||||
\(11\) | 1.75888e6 | − | 211618.i | 0.992840 | − | 0.119453i | ||||
\(12\) | 416023. | 0.139325 | ||||||||
\(13\) | 8.42006e6 | + | 2.73584e6i | 1.74444 | + | 0.566802i | 0.995407 | − | 0.0957355i | \(-0.0305203\pi\) |
0.749029 | + | 0.662537i | \(0.230520\pi\) | |||||||
\(14\) | −727866. | + | 528826.i | −0.0966681 | + | 0.0702335i | ||||
\(15\) | −969432. | − | 704334.i | −0.0851079 | − | 0.0618345i | ||||
\(16\) | 4.90297e6 | + | 1.50898e7i | 0.292240 | + | 0.899422i | ||||
\(17\) | 1.10446e7 | − | 3.58859e6i | 0.457567 | − | 0.148673i | −0.0711592 | − | 0.997465i | \(-0.522670\pi\) |
0.528726 | + | 0.848792i | \(0.322670\pi\) | |||||||
\(18\) | 2.64330e6 | − | 3.63818e6i | 0.0777160 | − | 0.106967i | ||||
\(19\) | 1.20274e7 | + | 1.65543e7i | 0.255653 | + | 0.351876i | 0.917481 | − | 0.397780i | \(-0.130219\pi\) |
−0.661828 | + | 0.749656i | \(0.730219\pi\) | |||||||
\(20\) | 1.43941e7 | − | 4.43004e7i | 0.224908 | − | 0.692194i | ||||
\(21\) | 1.07777e7i | 0.125663i | ||||||||
\(22\) | −1.50108e7 | − | 2.95574e6i | −0.132394 | − | 0.0260694i | ||||
\(23\) | −2.79184e8 | −1.88592 | −0.942962 | − | 0.332902i | \(-0.891972\pi\) | ||||
−0.942962 | + | 0.332902i | \(0.891972\pi\) | |||||||
\(24\) | −6.89714e6 | − | 2.24102e6i | −0.0360912 | − | 0.0117268i | ||||
\(25\) | 8.89710e7 | − | 6.46412e7i | 0.364425 | − | 0.264770i | ||||
\(26\) | −6.18548e7 | − | 4.49402e7i | −0.200232 | − | 0.145477i | ||||
\(27\) | −3.36364e7 | − | 1.03522e8i | −0.0868215 | − | 0.267209i | ||||
\(28\) | −3.98449e8 | + | 1.29464e8i | −0.826846 | + | 0.268658i | ||||
\(29\) | 3.86363e8 | − | 5.31783e8i | 0.649543 | − | 0.894019i | −0.349536 | − | 0.936923i | \(-0.613661\pi\) |
0.999079 | + | 0.0429039i | \(0.0136609\pi\) | |||||||
\(30\) | 6.08255e6 | + | 8.37191e6i | 0.00834369 | + | 0.0114841i | ||||
\(31\) | −3.45867e8 | + | 1.06447e9i | −0.389707 | + | 1.19940i | 0.543300 | + | 0.839539i | \(0.317175\pi\) |
−0.933007 | + | 0.359857i | \(0.882825\pi\) | |||||||
\(32\) | − | 4.24154e8i | − | 0.395025i | ||||||
\(33\) | −1.34340e8 | + | 1.24664e8i | −0.104021 | + | 0.0965288i | ||||
\(34\) | −1.00288e8 | −0.0649195 | ||||||||
\(35\) | 1.14766e9 | + | 3.72899e8i | 0.624319 | + | 0.202854i | ||||
\(36\) | 1.69417e9 | − | 1.23089e9i | 0.778291 | − | 0.565462i | ||||
\(37\) | 2.63099e9 | + | 1.91153e9i | 1.02544 | + | 0.745024i | 0.967391 | − | 0.253290i | \(-0.0815125\pi\) |
0.0580474 | + | 0.998314i | \(0.481513\pi\) | |||||||
\(38\) | −5.46063e7 | − | 1.68061e8i | −0.0181360 | − | 0.0558169i | ||||
\(39\) | −8.71070e8 | + | 2.83028e8i | −0.247551 | + | 0.0804343i | ||||
\(40\) | −4.77272e8 | + | 6.56908e8i | −0.116521 | + | 0.160378i | ||||
\(41\) | 3.21175e9 | + | 4.42059e9i | 0.676143 | + | 0.930631i | 0.999880 | − | 0.0155162i | \(-0.00493917\pi\) |
−0.323737 | + | 0.946147i | \(0.604939\pi\) | |||||||
\(42\) | 2.87617e7 | − | 8.85193e7i | 0.00523984 | − | 0.0161266i | ||||
\(43\) | − | 6.76887e9i | − | 1.07079i | −0.844601 | − | 0.535396i | \(-0.820162\pi\) | ||
0.844601 | − | 0.535396i | \(-0.179838\pi\) | |||||||
\(44\) | −6.22253e9 | − | 3.46904e9i | −0.857534 | − | 0.478071i | ||||
\(45\) | −6.03173e9 | −0.726385 | ||||||||
\(46\) | 2.29300e9 | + | 7.45041e8i | 0.242023 | + | 0.0786382i | ||||
\(47\) | −3.26255e9 | + | 2.37038e9i | −0.302671 | + | 0.219903i | −0.728745 | − | 0.684785i | \(-0.759896\pi\) |
0.426075 | + | 0.904688i | \(0.359896\pi\) | |||||||
\(48\) | −1.32792e9 | − | 9.64792e8i | −0.108574 | − | 0.0788835i | ||||
\(49\) | 9.23250e8 | + | 2.84147e9i | 0.0667026 | + | 0.205290i | ||||
\(50\) | −9.03242e8 | + | 2.93481e8i | −0.0578075 | + | 0.0187828i | ||||
\(51\) | −7.06152e8 | + | 9.71935e8i | −0.0401307 | + | 0.0552352i | ||||
\(52\) | −2.09270e10 | − | 2.88036e10i | −1.05849 | − | 1.45689i | ||||
\(53\) | −1.41164e9 | + | 4.34459e9i | −0.0636898 | + | 0.196017i | −0.977838 | − | 0.209363i | \(-0.932861\pi\) |
0.914148 | + | 0.405380i | \(0.132861\pi\) | |||||||
\(54\) | 9.40015e8i | 0.0379116i | ||||||||
\(55\) | 8.62684e9 | + | 1.86185e10i | 0.311656 | + | 0.672619i | ||||
\(56\) | 7.30318e9 | 0.236801 | ||||||||
\(57\) | −2.01325e9 | − | 6.54144e8i | −0.0587014 | − | 0.0190732i | ||||
\(58\) | −4.59242e9 | + | 3.33659e9i | −0.120635 | + | 0.0876466i | ||||
\(59\) | 9.97698e9 | + | 7.24870e9i | 0.236530 | + | 0.171849i | 0.699736 | − | 0.714401i | \(-0.253301\pi\) |
−0.463206 | + | 0.886251i | \(0.653301\pi\) | |||||||
\(60\) | 1.48909e9 | + | 4.58296e9i | 0.0319164 | + | 0.0982286i | ||||
\(61\) | 4.88103e10 | − | 1.58594e10i | 0.947398 | − | 0.307828i | 0.205740 | − | 0.978607i | \(-0.434040\pi\) |
0.741658 | + | 0.670778i | \(0.234040\pi\) | |||||||
\(62\) | 5.68136e9 | − | 7.81972e9i | 0.100023 | − | 0.137671i | ||||
\(63\) | 3.18878e10 | + | 4.38899e10i | 0.510014 | + | 0.701974i | ||||
\(64\) | 1.89507e10 | − | 5.83242e10i | 0.275768 | − | 0.848728i | ||||
\(65\) | 1.02549e11i | 1.35972i | ||||||||
\(66\) | 1.43605e9 | − | 6.65387e8i | 0.0173742 | − | 0.00805028i | ||||
\(67\) | 2.92937e10 | 0.323836 | 0.161918 | − | 0.986804i | \(-0.448232\pi\) | ||||
0.161918 | + | 0.986804i | \(0.448232\pi\) | |||||||
\(68\) | −4.44148e10 | − | 1.44312e10i | −0.449236 | − | 0.145966i | ||||
\(69\) | 2.33661e10 | − | 1.69765e10i | 0.216517 | − | 0.157309i | ||||
\(70\) | −8.43089e9 | − | 6.12540e9i | −0.0716614 | − | 0.0520650i | ||||
\(71\) | −2.97774e10 | − | 9.16454e10i | −0.232454 | − | 0.715419i | −0.997449 | − | 0.0713832i | \(-0.977259\pi\) |
0.764995 | − | 0.644036i | \(-0.222741\pi\) | |||||||
\(72\) | −3.47177e10 | + | 1.12805e10i | −0.249205 | + | 0.0809716i | ||||
\(73\) | −1.00159e11 | + | 1.37856e11i | −0.661837 | + | 0.910940i | −0.999540 | − | 0.0303125i | \(-0.990350\pi\) |
0.337704 | + | 0.941252i | \(0.390350\pi\) | |||||||
\(74\) | −1.65077e10 | − | 2.27210e10i | −0.100530 | − | 0.138368i | ||||
\(75\) | −3.51569e9 | + | 1.08202e10i | −0.0197535 | + | 0.0607949i | ||||
\(76\) | − | 8.22874e10i | − | 0.427023i | ||||||
\(77\) | 8.98703e10 | − | 1.61203e11i | 0.431193 | − | 0.773446i | ||||
\(78\) | 7.90958e9 | 0.0351226 | ||||||||
\(79\) | 4.43236e9 | + | 1.44016e9i | 0.0182336 | + | 0.00592446i | 0.318120 | − | 0.948051i | \(-0.396949\pi\) |
−0.299886 | + | 0.953975i | \(0.596949\pi\) | |||||||
\(80\) | −1.48681e11 | + | 1.08023e11i | −0.567175 | + | 0.412077i | ||||
\(81\) | −2.14779e11 | − | 1.56046e11i | −0.760469 | − | 0.552513i | ||||
\(82\) | −1.45818e10 | − | 4.48783e10i | −0.0479655 | − | 0.147623i | ||||
\(83\) | −1.76024e11 | + | 5.71938e10i | −0.538399 | + | 0.174936i | −0.565579 | − | 0.824694i | \(-0.691347\pi\) |
0.0271802 | + | 0.999631i | \(0.491347\pi\) | |||||||
\(84\) | 2.54755e10 | − | 3.50640e10i | 0.0725182 | − | 0.0998127i | ||||
\(85\) | 7.90647e10 | + | 1.08823e11i | 0.209638 | + | 0.288541i | ||||
\(86\) | −1.80637e10 | + | 5.55942e10i | −0.0446493 | + | 0.137417i | ||||
\(87\) | 6.80009e10i | 0.156819i | ||||||||
\(88\) | 8.44750e10 | + | 9.10316e10i | 0.181900 | + | 0.196018i | ||||
\(89\) | −3.19421e11 | −0.642722 | −0.321361 | − | 0.946957i | \(-0.604140\pi\) | ||||
−0.321361 | + | 0.946957i | \(0.604140\pi\) | |||||||
\(90\) | 4.95399e10 | + | 1.60965e10i | 0.0932181 | + | 0.0302884i | ||||
\(91\) | 7.46196e11 | − | 5.42143e11i | 1.31403 | − | 0.954698i | ||||
\(92\) | 9.08298e11 | + | 6.59917e11i | 1.49796 | + | 1.08833i | ||||
\(93\) | −3.57805e10 | − | 1.10121e11i | −0.0553030 | − | 0.170205i | ||||
\(94\) | 3.31217e10 | − | 1.07619e10i | 0.0480116 | − | 0.0155999i | ||||
\(95\) | −1.39314e11 | + | 1.91749e11i | −0.189519 | + | 0.260850i | ||||
\(96\) | 2.57917e10 | + | 3.54993e10i | 0.0329498 | + | 0.0453515i | ||||
\(97\) | 1.79652e11 | − | 5.52911e11i | 0.215675 | − | 0.663781i | −0.783430 | − | 0.621481i | \(-0.786531\pi\) |
0.999105 | − | 0.0423000i | \(-0.0134685\pi\) | |||||||
\(98\) | − | 2.58014e10i | − | 0.0291265i | ||||||
\(99\) | −1.78229e11 | + | 9.05140e11i | −0.189308 | + | 0.961401i | ||||
\(100\) | −4.42252e11 | −0.442252 | ||||||||
\(101\) | 4.53820e11 | + | 1.47455e11i | 0.427519 | + | 0.138909i | 0.514870 | − | 0.857268i | \(-0.327840\pi\) |
−0.0873508 | + | 0.996178i | \(0.527840\pi\) | |||||||
\(102\) | 8.39352e9 | − | 6.09825e9i | 0.00745321 | − | 0.00541507i | ||||
\(103\) | 1.25308e11 | + | 9.10416e10i | 0.104944 | + | 0.0762459i | 0.639019 | − | 0.769191i | \(-0.279340\pi\) |
−0.534076 | + | 0.845437i | \(0.679340\pi\) | |||||||
\(104\) | 1.91786e11 | + | 5.90256e11i | 0.151571 | + | 0.466488i | ||||
\(105\) | −1.18728e11 | + | 3.85770e10i | −0.0885966 | + | 0.0287868i | ||||
\(106\) | 2.31883e10 | − | 3.19159e10i | 0.0163468 | − | 0.0224995i | ||||
\(107\) | −1.42266e12 | − | 1.95812e12i | −0.947978 | − | 1.30478i | −0.952420 | − | 0.304790i | \(-0.901414\pi\) |
0.00444151 | − | 0.999990i | \(-0.498586\pi\) | |||||||
\(108\) | −1.35266e11 | + | 4.16307e11i | −0.0852407 | + | 0.262344i | ||||
\(109\) | − | 1.65522e12i | − | 0.986953i | −0.869759 | − | 0.493476i | \(-0.835726\pi\) | ||
0.869759 | − | 0.493476i | \(-0.164274\pi\) | |||||||
\(110\) | −2.11680e10 | − | 1.75940e11i | −0.0119488 | − | 0.0993135i | ||||
\(111\) | −3.36434e11 | −0.179871 | ||||||||
\(112\) | 1.57206e12 | + | 5.10795e11i | 0.796456 | + | 0.258784i | ||||
\(113\) | −1.42821e12 | + | 1.03765e12i | −0.685994 | + | 0.498404i | −0.875341 | − | 0.483506i | \(-0.839363\pi\) |
0.189347 | + | 0.981910i | \(0.439363\pi\) | |||||||
\(114\) | 1.47896e10 | + | 1.07453e10i | 0.00673794 | + | 0.00489540i | ||||
\(115\) | −9.99299e11 | − | 3.07553e12i | −0.432024 | − | 1.32963i | ||||
\(116\) | −2.51399e12 | + | 8.16844e11i | −1.03185 | + | 0.335267i | ||||
\(117\) | −2.70986e12 | + | 3.72981e12i | −1.05641 | + | 1.45402i | ||||
\(118\) | −6.25990e10 | − | 8.61601e10i | −0.0231886 | − | 0.0319164i | ||||
\(119\) | 3.73862e11 | − | 1.15063e12i | 0.131653 | − | 0.405185i | ||||
\(120\) | − | 8.40011e10i | − | 0.0281318i | ||||||
\(121\) | 3.04886e12 | − | 7.44418e11i | 0.971462 | − | 0.237195i | ||||
\(122\) | −4.43213e11 | −0.134417 | ||||||||
\(123\) | −5.37610e11 | − | 1.74680e11i | −0.155252 | − | 0.0504443i | ||||
\(124\) | 3.64136e12 | − | 2.64560e12i | 1.00169 | − | 0.727771i | ||||
\(125\) | 3.31836e12 | + | 2.41093e12i | 0.869889 | + | 0.632011i | ||||
\(126\) | −1.44776e11 | − | 4.45574e11i | −0.0361803 | − | 0.111352i | ||||
\(127\) | 2.42453e12 | − | 7.87777e11i | 0.577836 | − | 0.187750i | −0.00549472 | − | 0.999985i | \(-0.501749\pi\) |
0.583331 | + | 0.812234i | \(0.301749\pi\) | |||||||
\(128\) | −1.33247e12 | + | 1.83399e12i | −0.302969 | + | 0.417001i | ||||
\(129\) | 4.11597e11 | + | 5.66515e11i | 0.0893170 | + | 0.122934i | ||||
\(130\) | 2.73666e11 | − | 8.42256e11i | 0.0566970 | − | 0.174495i | ||||
\(131\) | 6.68781e12i | 1.32329i | 0.749816 | + | 0.661646i | \(0.230142\pi\) | ||||
−0.749816 | + | 0.661646i | \(0.769858\pi\) | |||||||
\(132\) | 7.31733e11 | − | 8.80378e10i | 0.138328 | − | 0.0166428i | ||||
\(133\) | 2.13177e12 | 0.385150 | ||||||||
\(134\) | −2.40595e11 | − | 7.81741e10i | −0.0415583 | − | 0.0135031i | ||||
\(135\) | 1.02002e12 | − | 7.41086e11i | 0.168502 | − | 0.122424i | ||||
\(136\) | 6.58605e11 | + | 4.78504e11i | 0.104086 | + | 0.0756227i | ||||
\(137\) | −2.08497e12 | − | 6.41689e12i | −0.315339 | − | 0.970513i | −0.975615 | − | 0.219490i | \(-0.929561\pi\) |
0.660276 | − | 0.751023i | \(-0.270439\pi\) | |||||||
\(138\) | −2.37215e11 | + | 7.70758e10i | −0.0343453 | + | 0.0111595i | ||||
\(139\) | −4.54307e12 | + | 6.25299e12i | −0.629883 | + | 0.866960i | −0.998026 | − | 0.0628094i | \(-0.979994\pi\) |
0.368142 | + | 0.929770i | \(0.379994\pi\) | |||||||
\(140\) | −2.85238e12 | − | 3.92596e12i | −0.378825 | − | 0.521408i | ||||
\(141\) | 1.28920e11 | − | 3.96775e11i | 0.0164061 | − | 0.0504928i | ||||
\(142\) | 8.32169e11i | 0.101504i | ||||||||
\(143\) | 1.53888e13 | + | 3.03018e12i | 1.79965 | + | 0.354366i | ||||
\(144\) | −8.26223e12 | −0.926664 | ||||||||
\(145\) | 7.24111e12 | + | 2.35278e12i | 0.779107 | + | 0.253147i | ||||
\(146\) | 1.19051e12 | − | 8.64958e11i | 0.122918 | − | 0.0893054i | ||||
\(147\) | −2.50053e11 | − | 1.81674e11i | −0.0247815 | − | 0.0180048i | ||||
\(148\) | −4.04133e12 | − | 1.24379e13i | −0.384551 | − | 1.18353i | ||||
\(149\) | −1.48252e13 | + | 4.81701e12i | −1.35483 | + | 0.440210i | −0.894313 | − | 0.447443i | \(-0.852335\pi\) |
−0.460514 | + | 0.887653i | \(0.652335\pi\) | |||||||
\(150\) | 5.77503e10 | − | 7.94865e10i | 0.00506999 | − | 0.00697824i | ||||
\(151\) | −8.82320e12 | − | 1.21441e13i | −0.744328 | − | 1.02448i | −0.998358 | − | 0.0572834i | \(-0.981756\pi\) |
0.254030 | − | 0.967196i | \(-0.418244\pi\) | |||||||
\(152\) | −4.43263e11 | + | 1.36422e12i | −0.0359418 | + | 0.110617i | ||||
\(153\) | 6.04730e12i | 0.471426i | ||||||||
\(154\) | −1.16832e12 | + | 1.08417e12i | −0.0875864 | + | 0.0812779i | ||||
\(155\) | −1.29643e13 | −0.934885 | ||||||||
\(156\) | 3.50294e12 | + | 1.13817e12i | 0.243044 | + | 0.0789698i | ||||
\(157\) | 5.20312e12 | − | 3.78029e12i | 0.347429 | − | 0.252422i | −0.400361 | − | 0.916358i | \(-0.631115\pi\) |
0.747790 | + | 0.663936i | \(0.231115\pi\) | |||||||
\(158\) | −3.25607e10 | − | 2.36567e10i | −0.00209291 | − | 0.00152059i | ||||
\(159\) | −1.46037e11 | − | 4.49456e11i | −0.00903816 | − | 0.0278166i | ||||
\(160\) | 4.67253e12 | − | 1.51820e12i | 0.278505 | − | 0.0904916i | ||||
\(161\) | −1.70961e13 | + | 2.35307e13i | −0.981615 | + | 1.35108i | ||||
\(162\) | 1.34760e12 | + | 1.85481e12i | 0.0745538 | + | 0.102614i | ||||
\(163\) | 7.23713e12 | − | 2.22736e13i | 0.385870 | − | 1.18758i | −0.549978 | − | 0.835179i | \(-0.685364\pi\) |
0.935848 | − | 0.352405i | \(-0.114636\pi\) | |||||||
\(164\) | − | 2.19737e13i | − | 1.12938i | ||||||
\(165\) | −1.85416e12 | − | 1.03369e12i | −0.0918848 | − | 0.0512254i | ||||
\(166\) | 1.59836e12 | 0.0763879 | ||||||||
\(167\) | 2.23601e13 | + | 7.26524e12i | 1.03080 | + | 0.334928i | 0.775107 | − | 0.631830i | \(-0.217696\pi\) |
0.255695 | + | 0.966758i | \(0.417696\pi\) | |||||||
\(168\) | −6.11234e11 | + | 4.44087e11i | −0.0271864 | + | 0.0197521i | ||||
\(169\) | 4.45640e13 | + | 3.23776e13i | 1.91278 | + | 1.38971i | ||||
\(170\) | −3.58966e11 | − | 1.10478e12i | −0.0148717 | − | 0.0457703i | ||||
\(171\) | −1.01340e13 | + | 3.29273e12i | −0.405325 | + | 0.131698i | ||||
\(172\) | −1.59998e13 | + | 2.20218e13i | −0.617936 | + | 0.850516i | ||||
\(173\) | −1.07740e13 | − | 1.48291e13i | −0.401883 | − | 0.553144i | 0.559332 | − | 0.828943i | \(-0.311058\pi\) |
−0.961215 | + | 0.275799i | \(0.911058\pi\) | |||||||
\(174\) | 1.81470e11 | − | 5.58506e11i | 0.00653896 | − | 0.0201249i | ||||
\(175\) | − | 1.14572e13i | − | 0.398886i | ||||||
\(176\) | 1.18170e13 | + | 2.55035e13i | 0.397586 | + | 0.858073i | ||||
\(177\) | −1.27579e12 | −0.0414896 | ||||||||
\(178\) | 2.62347e12 | + | 8.52418e11i | 0.0824815 | + | 0.0267999i | ||||
\(179\) | 2.95743e13 | − | 2.14870e13i | 0.899076 | − | 0.653217i | −0.0391524 | − | 0.999233i | \(-0.512466\pi\) |
0.938229 | + | 0.346016i | \(0.112466\pi\) | |||||||
\(180\) | 1.96236e13 | + | 1.42574e13i | 0.576958 | + | 0.419184i | ||||
\(181\) | −9.56180e12 | − | 2.94282e13i | −0.271937 | − | 0.836935i | −0.990014 | − | 0.140972i | \(-0.954977\pi\) |
0.718077 | − | 0.695964i | \(-0.245023\pi\) | |||||||
\(182\) | −7.57546e12 | + | 2.46142e12i | −0.208440 | + | 0.0677262i | ||||
\(183\) | −3.12077e12 | + | 4.29537e12i | −0.0830912 | + | 0.114365i | ||||
\(184\) | −1.15036e13 | − | 1.58334e13i | −0.296434 | − | 0.408006i | ||||
\(185\) | −1.16404e13 | + | 3.58253e13i | −0.290359 | + | 0.893635i | ||||
\(186\) | 9.99934e11i | 0.0241487i | ||||||||
\(187\) | 1.86666e13 | − | 8.64911e12i | 0.436531 | − | 0.202266i | ||||
\(188\) | 1.62173e13 | 0.367310 | ||||||||
\(189\) | −1.07850e13 | − | 3.50426e12i | −0.236619 | − | 0.0768822i | ||||
\(190\) | 1.65592e12 | − | 1.20310e12i | 0.0351981 | − | 0.0255729i | ||||
\(191\) | −2.60381e13 | − | 1.89178e13i | −0.536302 | − | 0.389646i | 0.286408 | − | 0.958108i | \(-0.407539\pi\) |
−0.822710 | + | 0.568462i | \(0.807539\pi\) | |||||||
\(192\) | 1.96048e12 | + | 6.03373e12i | 0.0391341 | + | 0.120442i | ||||
\(193\) | −3.85185e13 | + | 1.25154e13i | −0.745290 | + | 0.242159i | −0.656953 | − | 0.753931i | \(-0.728155\pi\) |
−0.0883367 | + | 0.996091i | \(0.528155\pi\) | |||||||
\(194\) | −2.95104e12 | + | 4.06175e12i | −0.0553559 | + | 0.0761909i | ||||
\(195\) | −6.23573e12 | − | 8.58274e12i | −0.113417 | − | 0.156106i | ||||
\(196\) | 3.71278e12 | − | 1.14268e13i | 0.0654881 | − | 0.201552i | ||||
\(197\) | − | 1.45868e13i | − | 0.249552i | −0.992185 | − | 0.124776i | \(-0.960179\pi\) | ||
0.992185 | − | 0.124776i | \(-0.0398212\pi\) | |||||||
\(198\) | 3.87933e12 | − | 6.95848e12i | 0.0643821 | − | 0.115484i | ||||
\(199\) | −1.00343e14 | −1.61573 | −0.807864 | − | 0.589368i | \(-0.799377\pi\) | ||||
−0.807864 | + | 0.589368i | \(0.799377\pi\) | |||||||
\(200\) | 7.33200e12 | + | 2.38231e12i | 0.114562 | + | 0.0372236i | ||||
\(201\) | −2.45171e12 | + | 1.78127e12i | −0.0371786 | + | 0.0270118i | ||||
\(202\) | −3.33382e12 | − | 2.42216e12i | −0.0490721 | − | 0.0356529i | ||||
\(203\) | −2.11615e13 | − | 6.51283e13i | −0.302392 | − | 0.930666i | ||||
\(204\) | 4.59479e12 | − | 1.49294e12i | 0.0637506 | − | 0.0207138i | ||||
\(205\) | −3.72018e13 | + | 5.12039e13i | −0.501234 | + | 0.689889i | ||||
\(206\) | −7.86225e11 | − | 1.08215e12i | −0.0102883 | − | 0.0141606i | ||||
\(207\) | 4.49255e13 | − | 1.38267e14i | 0.571046 | − | 1.75750i | ||||
\(208\) | 1.40471e14i | 1.73463i | ||||||||
\(209\) | 2.46579e13 | + | 2.65718e13i | 0.295855 | + | 0.318818i | ||||
\(210\) | 1.07809e12 | 0.0125701 | ||||||||
\(211\) | 8.15535e12 | + | 2.64983e12i | 0.0924161 | + | 0.0300278i | 0.354860 | − | 0.934919i | \(-0.384528\pi\) |
−0.262444 | + | 0.964947i | \(0.584528\pi\) | |||||||
\(212\) | 1.48621e13 | − | 1.07979e13i | 0.163706 | − | 0.118939i | ||||
\(213\) | 8.06491e12 | + | 5.85950e12i | 0.0863619 | + | 0.0627456i | ||||
\(214\) | 6.45910e12 | + | 1.98791e13i | 0.0672495 | + | 0.206973i | ||||
\(215\) | 7.45666e13 | − | 2.42282e13i | 0.754942 | − | 0.245296i | ||||
\(216\) | 4.48509e12 | − | 6.17320e12i | 0.0441620 | − | 0.0607838i | ||||
\(217\) | 6.85380e13 | + | 9.43345e13i | 0.656407 | + | 0.903467i | ||||
\(218\) | −4.41718e12 | + | 1.35947e13i | −0.0411534 | + | 0.126657i | ||||
\(219\) | − | 1.76282e13i | − | 0.159787i | ||||||
\(220\) | 1.59427e13 | − | 8.09650e13i | 0.140613 | − | 0.714104i | ||||
\(221\) | 1.02814e14 | 0.882464 | ||||||||
\(222\) | 2.76321e12 | + | 8.97820e11i | 0.0230832 | + | 0.00750018i | ||||
\(223\) | −6.24155e13 | + | 4.53475e13i | −0.507532 | + | 0.368744i | −0.811887 | − | 0.583815i | \(-0.801559\pi\) |
0.304354 | + | 0.952559i | \(0.401559\pi\) | |||||||
\(224\) | −3.57494e13 | − | 2.59734e13i | −0.282996 | − | 0.205609i | ||||
\(225\) | 1.76967e13 | + | 5.44649e13i | 0.136395 | + | 0.419780i | ||||
\(226\) | 1.44993e13 | − | 4.71111e12i | 0.108817 | − | 0.0353567i | ||||
\(227\) | 6.19377e13 | − | 8.52499e13i | 0.452689 | − | 0.623073i | −0.520284 | − | 0.853993i | \(-0.674174\pi\) |
0.972973 | + | 0.230921i | \(0.0741738\pi\) | |||||||
\(228\) | 5.00368e12 | + | 6.88697e12i | 0.0356189 | + | 0.0490252i | ||||
\(229\) | −6.21898e13 | + | 1.91401e14i | −0.431228 | + | 1.32718i | 0.465676 | + | 0.884955i | \(0.345811\pi\) |
−0.896903 | + | 0.442227i | \(0.854189\pi\) | |||||||
\(230\) | 2.79267e13i | 0.188648i | ||||||||
\(231\) | 2.28074e12 | + | 1.89566e13i | 0.0150108 | + | 0.124764i | ||||
\(232\) | 4.60789e13 | 0.295511 | ||||||||
\(233\) | −1.83606e13 | − | 5.96571e12i | −0.114749 | − | 0.0372844i | 0.251079 | − | 0.967966i | \(-0.419214\pi\) |
−0.365829 | + | 0.930682i | \(0.619214\pi\) | |||||||
\(234\) | 3.22102e13 | − | 2.34021e13i | 0.196200 | − | 0.142547i | ||||
\(235\) | −3.77902e13 | − | 2.74562e13i | −0.224374 | − | 0.163017i | ||||
\(236\) | −1.53251e13 | − | 4.71658e13i | −0.0887016 | − | 0.272995i | ||||
\(237\) | −4.58535e11 | + | 1.48987e11i | −0.00258751 | + | 0.000840735i | ||||
\(238\) | −6.14122e12 | + | 8.45266e12i | −0.0337903 | + | 0.0465084i | ||||
\(239\) | −9.48295e13 | − | 1.30522e14i | −0.508811 | − | 0.700318i | 0.474908 | − | 0.880036i | \(-0.342482\pi\) |
−0.983718 | + | 0.179718i | \(0.942482\pi\) | |||||||
\(240\) | 5.87515e12 | − | 1.80819e13i | 0.0307434 | − | 0.0946184i | ||||
\(241\) | − | 1.22187e14i | − | 0.623622i | −0.950144 | − | 0.311811i | \(-0.899064\pi\) | ||
0.950144 | − | 0.311811i | \(-0.100936\pi\) | |||||||
\(242\) | −2.70276e13 | − | 2.02224e12i | −0.134560 | − | 0.0100679i | ||||
\(243\) | 8.53117e13 | 0.414354 | ||||||||
\(244\) | −1.96287e14 | − | 6.37775e13i | −0.930148 | − | 0.302223i | ||||
\(245\) | −2.79973e13 | + | 2.03412e13i | −0.129455 | + | 0.0940548i | ||||
\(246\) | 3.94935e12 | + | 2.86937e12i | 0.0178203 | + | 0.0129472i | ||||
\(247\) | 5.59815e13 | + | 1.72293e14i | 0.246526 | + | 0.758729i | ||||
\(248\) | −7.46204e13 | + | 2.42457e13i | −0.320736 | + | 0.104213i | ||||
\(249\) | 1.12544e13 | − | 1.54904e13i | 0.0472201 | − | 0.0649928i | ||||
\(250\) | −2.08205e13 | − | 2.86570e13i | −0.0852809 | − | 0.117379i | ||||
\(251\) | −1.93057e13 | + | 5.94169e13i | −0.0772047 | + | 0.237612i | −0.982209 | − | 0.187791i | \(-0.939867\pi\) |
0.905004 | + | 0.425402i | \(0.139867\pi\) | |||||||
\(252\) | − | 2.18166e14i | − | 0.851889i | ||||||
\(253\) | −4.91051e14 | + | 5.90803e13i | −1.87242 | + | 0.225278i | ||||
\(254\) | −2.20155e13 | −0.0819834 | ||||||||
\(255\) | −1.32345e13 | − | 4.30015e12i | −0.0481356 | − | 0.0156402i | ||||
\(256\) | −1.87379e14 | + | 1.36139e14i | −0.665703 | + | 0.483661i | ||||
\(257\) | 2.95784e13 | + | 2.14900e13i | 0.102654 | + | 0.0745825i | 0.637928 | − | 0.770096i | \(-0.279792\pi\) |
−0.535274 | + | 0.844678i | \(0.679792\pi\) | |||||||
\(258\) | −1.86872e12 | − | 5.75132e12i | −0.00633615 | − | 0.0195007i | ||||
\(259\) | 3.22222e14 | − | 1.04696e14i | 1.06747 | − | 0.346843i | ||||
\(260\) | 2.42398e14 | − | 3.33632e14i | 0.784673 | − | 1.08001i | ||||
\(261\) | 2.01194e14 | + | 2.76920e14i | 0.636462 | + | 0.876015i | ||||
\(262\) | 1.78473e13 | − | 5.49284e13i | 0.0551779 | − | 0.169820i | ||||
\(263\) | 3.60964e12i | 0.0109076i | 0.999985 | + | 0.00545380i | \(0.00173601\pi\) | ||||
−0.999985 | + | 0.00545380i | \(0.998264\pi\) | |||||||
\(264\) | −1.26055e13 | − | 2.48212e12i | −0.0372336 | − | 0.00733160i | ||||
\(265\) | −5.29133e13 | −0.152788 | ||||||||
\(266\) | −1.75087e13 | − | 5.68892e12i | −0.0494269 | − | 0.0160598i | ||||
\(267\) | 2.67337e13 | − | 1.94232e13i | 0.0737889 | − | 0.0536108i | ||||
\(268\) | −9.53039e13 | − | 6.92424e13i | −0.257218 | − | 0.186880i | ||||
\(269\) | 2.04699e14 | + | 6.29998e14i | 0.540258 | + | 1.66274i | 0.732005 | + | 0.681299i | \(0.238585\pi\) |
−0.191747 | + | 0.981444i | \(0.561415\pi\) | |||||||
\(270\) | −1.03553e13 | + | 3.36464e12i | −0.0267289 | + | 0.00868473i | ||||
\(271\) | 2.99580e14 | − | 4.12336e14i | 0.756305 | − | 1.04096i | −0.241208 | − | 0.970473i | \(-0.577544\pi\) |
0.997512 | − | 0.0704905i | \(-0.0224565\pi\) | |||||||
\(272\) | 1.08302e14 | + | 1.49065e14i | 0.267439 | + | 0.368098i | ||||
\(273\) | −2.94860e13 | + | 9.07485e13i | −0.0712262 | + | 0.219212i | ||||
\(274\) | 5.82674e13i | 0.137696i | ||||||||
\(275\) | 1.42810e14 | − | 1.32524e14i | 0.330188 | − | 0.306406i | ||||
\(276\) | −1.16147e14 | −0.262757 | ||||||||
\(277\) | 5.38575e14 | + | 1.74994e14i | 1.19225 | + | 0.387386i | 0.836905 | − | 0.547349i | \(-0.184363\pi\) |
0.355346 | + | 0.934735i | \(0.384363\pi\) | |||||||
\(278\) | 5.40002e13 | − | 3.92334e13i | 0.116984 | − | 0.0849938i | ||||
\(279\) | −4.71524e14 | − | 3.42582e14i | −0.999721 | − | 0.726340i | ||||
\(280\) | 2.61406e13 | + | 8.04526e13i | 0.0542460 | + | 0.166952i | ||||
\(281\) | −4.26811e14 | + | 1.38679e14i | −0.866957 | + | 0.281692i | −0.708531 | − | 0.705679i | \(-0.750642\pi\) |
−0.158426 | + | 0.987371i | \(0.550642\pi\) | |||||||
\(282\) | −2.11769e12 | + | 2.91476e12i | −0.00421084 | + | 0.00579572i | ||||
\(283\) | 1.44365e14 | + | 1.98701e14i | 0.281023 | + | 0.386795i | 0.926072 | − | 0.377346i | \(-0.123163\pi\) |
−0.645049 | + | 0.764141i | \(0.723163\pi\) | |||||||
\(284\) | −1.19747e14 | + | 3.68545e14i | −0.228221 | + | 0.702393i | ||||
\(285\) | − | 2.45196e13i | − | 0.0457556i | ||||||
\(286\) | −1.18305e14 | − | 6.59546e13i | −0.216176 | − | 0.120517i | ||||
\(287\) | 5.69259e14 | 1.01863 | ||||||||
\(288\) | 2.10063e14 | + | 6.82537e13i | 0.368125 | + | 0.119611i | ||||
\(289\) | −3.62247e14 | + | 2.63188e14i | −0.621753 | + | 0.451730i | ||||
\(290\) | −5.31941e13 | − | 3.86478e13i | −0.0894285 | − | 0.0649736i | ||||
\(291\) | 1.85853e13 | + | 5.71996e13i | 0.0306063 | + | 0.0941965i | ||||
\(292\) | 6.51711e14 | − | 2.11754e14i | 1.05138 | − | 0.341613i | ||||
\(293\) | 6.42477e14 | − | 8.84293e14i | 1.01543 | − | 1.39763i | 0.100078 | − | 0.994980i | \(-0.468091\pi\) |
0.915356 | − | 0.402646i | \(-0.131909\pi\) | |||||||
\(294\) | 1.56892e12 | + | 2.15943e12i | 0.00242950 | + | 0.00334392i | ||||
\(295\) | −4.41414e13 | + | 1.35853e14i | −0.0669751 | + | 0.206128i | ||||
\(296\) | 2.27975e14i | 0.338951i | ||||||||
\(297\) | −8.10695e13 | − | 1.74965e14i | −0.118119 | − | 0.254925i | ||||
\(298\) | 1.34618e14 | 0.192223 | ||||||||
\(299\) | −2.35075e15 | − | 7.63804e14i | −3.28987 | − | 1.06894i | ||||
\(300\) | 3.70140e13 | − | 2.68922e13i | 0.0507736 | − | 0.0368892i | ||||
\(301\) | −5.70506e14 | − | 4.14497e14i | −0.767117 | − | 0.557343i | ||||
\(302\) | 4.00587e13 | + | 1.23288e14i | 0.0528026 | + | 0.162510i | ||||
\(303\) | −4.69485e13 | + | 1.52545e13i | −0.0606689 | + | 0.0197125i | ||||
\(304\) | −1.90831e14 | + | 2.62657e14i | −0.241773 | + | 0.332772i | ||||
\(305\) | 3.49418e14 | + | 4.80933e14i | 0.434057 | + | 0.597428i | ||||
\(306\) | 1.61381e13 | − | 4.96678e13i | 0.0196572 | − | 0.0604988i | ||||
\(307\) | 2.14416e14i | 0.256111i | 0.991767 | + | 0.128055i | \(0.0408735\pi\) | ||||
−0.991767 | + | 0.128055i | \(0.959127\pi\) | |||||||
\(308\) | −6.73425e14 | + | 3.12030e14i | −0.788833 | + | 0.365504i | ||||
\(309\) | −1.60236e13 | −0.0184081 | ||||||||
\(310\) | 1.06478e14 | + | 3.45969e13i | 0.119975 | + | 0.0389823i | ||||
\(311\) | −7.59869e13 | + | 5.52077e13i | −0.0839801 | + | 0.0610151i | −0.628983 | − | 0.777419i | \(-0.716529\pi\) |
0.545003 | + | 0.838434i | \(0.316529\pi\) | |||||||
\(312\) | −5.19433e13 | − | 3.77390e13i | −0.0563121 | − | 0.0409131i | ||||
\(313\) | −2.23396e14 | − | 6.87541e14i | −0.237579 | − | 0.731194i | −0.996769 | − | 0.0803243i | \(-0.974404\pi\) |
0.759189 | − | 0.650870i | \(-0.225596\pi\) | |||||||
\(314\) | −5.28226e13 | + | 1.71631e13i | −0.0551114 | + | 0.0179068i | ||||
\(315\) | −3.69358e14 | + | 5.08377e14i | −0.378080 | + | 0.520383i | ||||
\(316\) | −1.10161e13 | − | 1.51623e13i | −0.0110638 | − | 0.0152280i | ||||
\(317\) | 1.74578e14 | − | 5.37294e14i | 0.172041 | − | 0.529489i | −0.827445 | − | 0.561547i | \(-0.810206\pi\) |
0.999486 | + | 0.0320585i | \(0.0102063\pi\) | |||||||
\(318\) | 4.08120e12i | 0.00394662i | ||||||||
\(319\) | 5.67030e14 | − | 1.01710e15i | 0.538099 | − | 0.965207i | ||||
\(320\) | 7.10336e14 | 0.661552 | ||||||||
\(321\) | 2.38137e14 | + | 7.73753e13i | 0.217669 | + | 0.0707249i | ||||
\(322\) | 2.03209e14 | − | 1.47640e14i | 0.182309 | − | 0.132455i | ||||
\(323\) | 1.92244e14 | + | 1.39674e14i | 0.169293 | + | 0.122998i | ||||
\(324\) | 3.29910e14 | + | 1.01536e15i | 0.285184 | + | 0.877707i | ||||
\(325\) | 9.25989e14 | − | 3.00872e14i | 0.785789 | − | 0.255318i | ||||
\(326\) | −1.18880e14 | + | 1.63625e14i | −0.0990385 | + | 0.136315i | ||||
\(327\) | 1.00650e14 | + | 1.38532e14i | 0.0823238 | + | 0.113309i | ||||
\(328\) | −1.18367e14 | + | 3.64296e14i | −0.0950577 | + | 0.292558i | ||||
\(329\) | 4.20133e14i | 0.331292i | ||||||||
\(330\) | 1.24701e13 | + | 1.34380e13i | 0.00965575 | + | 0.0104052i | ||||
\(331\) | 4.88114e14 | 0.371153 | 0.185577 | − | 0.982630i | \(-0.440585\pi\) | ||||
0.185577 | + | 0.982630i | \(0.440585\pi\) | |||||||
\(332\) | 7.07868e14 | + | 2.30000e14i | 0.528596 | + | 0.171751i | ||||
\(333\) | −1.37006e15 | + | 9.95407e14i | −1.00479 | + | 0.730021i | ||||
\(334\) | −1.64260e14 | − | 1.19342e14i | −0.118319 | − | 0.0859636i | ||||
\(335\) | 1.04852e14 | + | 3.22702e14i | 0.0741838 | + | 0.228314i | ||||
\(336\) | −1.62633e14 | + | 5.28426e13i | −0.113024 | + | 0.0367239i | ||||
\(337\) | 9.15282e14 | − | 1.25978e15i | 0.624850 | − | 0.860032i | −0.372845 | − | 0.927894i | \(-0.621618\pi\) |
0.997695 | + | 0.0678619i | \(0.0216177\pi\) | |||||||
\(338\) | −2.79610e14 | − | 3.84850e14i | −0.187522 | − | 0.258102i | ||||
\(339\) | 5.64356e13 | − | 1.73691e14i | 0.0371839 | − | 0.114440i | ||||
\(340\) | − | 5.40933e14i | − | 0.350163i | ||||||
\(341\) | −3.83077e14 | + | 1.94546e15i | −0.243646 | + | 1.23736i | ||||
\(342\) | 9.20196e13 | 0.0575074 | ||||||||
\(343\) | 1.66744e15 | + | 5.41785e14i | 1.02397 | + | 0.332707i | ||||
\(344\) | 3.83883e14 | − | 2.78907e14i | 0.231659 | − | 0.168310i | ||||
\(345\) | 2.70650e14 | + | 1.96639e14i | 0.160507 | + | 0.116615i | ||||
\(346\) | 4.89155e13 | + | 1.50547e14i | 0.0285095 | + | 0.0877433i | ||||
\(347\) | 2.03593e14 | − | 6.61514e13i | 0.116624 | − | 0.0378933i | −0.250124 | − | 0.968214i | \(-0.580471\pi\) |
0.366747 | + | 0.930321i | \(0.380471\pi\) | |||||||
\(348\) | 1.60736e14 | − | 2.21234e14i | 0.0904977 | − | 0.124559i | ||||
\(349\) | −7.53008e14 | − | 1.03643e15i | −0.416722 | − | 0.573569i | 0.548119 | − | 0.836400i | \(-0.315344\pi\) |
−0.964842 | + | 0.262831i | \(0.915344\pi\) | |||||||
\(350\) | −3.05750e13 | + | 9.41003e13i | −0.0166325 | + | 0.0511897i | ||||
\(351\) | − | 9.63688e14i | − | 0.515340i | ||||||
\(352\) | −8.97585e13 | − | 7.46035e14i | −0.0471867 | − | 0.392196i | ||||
\(353\) | −1.59907e15 | −0.826454 | −0.413227 | − | 0.910628i | \(-0.635598\pi\) | ||||
−0.413227 | + | 0.910628i | \(0.635598\pi\) | |||||||
\(354\) | 1.04783e13 | + | 3.40462e12i | 0.00532443 | + | 0.00173001i | ||||
\(355\) | 9.02992e14 | − | 6.56062e14i | 0.451143 | − | 0.327774i | ||||
\(356\) | 1.03920e15 | + | 7.55025e14i | 0.510506 | + | 0.370904i | ||||
\(357\) | 3.86766e13 | + | 1.19034e14i | 0.0186827 | + | 0.0574994i | ||||
\(358\) | −3.00241e14 | + | 9.75543e13i | −0.142617 | + | 0.0463392i | ||||
\(359\) | −2.11764e15 | + | 2.91468e15i | −0.989204 | + | 1.36152i | −0.0574831 | + | 0.998346i | \(0.518308\pi\) |
−0.931721 | + | 0.363176i | \(0.881692\pi\) | |||||||
\(360\) | −2.48534e14 | − | 3.42078e14i | −0.114175 | − | 0.157148i | ||||
\(361\) | 5.54565e14 | − | 1.70678e15i | 0.250559 | − | 0.771140i | ||||
\(362\) | 2.67217e14i | 0.118744i | ||||||||
\(363\) | −2.09906e14 | + | 2.47697e14i | −0.0917456 | + | 0.108263i | ||||
\(364\) | −3.70916e15 | −1.59466 | ||||||||
\(365\) | −1.87714e15 | − | 6.09921e14i | −0.793854 | − | 0.257939i | ||||
\(366\) | 3.70943e13 | − | 2.69506e13i | 0.0154320 | − | 0.0112120i | ||||
\(367\) | 1.65759e15 | + | 1.20431e15i | 0.678390 | + | 0.492880i | 0.872823 | − | 0.488036i | \(-0.162287\pi\) |
−0.194433 | + | 0.980916i | \(0.562287\pi\) | |||||||
\(368\) | −1.36883e15 | − | 4.21284e15i | −0.551142 | − | 1.69624i | ||||
\(369\) | −2.70613e15 | + | 8.79276e14i | −1.07199 | + | 0.348311i | ||||
\(370\) | 1.91210e14 | − | 2.63178e14i | 0.0745246 | − | 0.102574i | ||||
\(371\) | 2.79736e14 | + | 3.85023e14i | 0.107277 | + | 0.147653i | ||||
\(372\) | −1.43888e14 | + | 4.42843e14i | −0.0542961 | + | 0.167106i | ||||
\(373\) | − | 2.51752e13i | − | 0.00934802i | −0.999989 | − | 0.00467401i | \(-0.998512\pi\) | ||
0.999989 | − | 0.00467401i | \(-0.00148779\pi\) | |||||||
\(374\) | −1.76394e14 | + | 2.12227e13i | −0.0644547 | + | 0.00775481i | ||||
\(375\) | −4.24330e14 | −0.152587 | ||||||||
\(376\) | −2.68863e14 | − | 8.73589e13i | −0.0951490 | − | 0.0309158i | ||||
\(377\) | 4.70808e15 | − | 3.42062e15i | 1.63982 | − | 1.19140i | ||||
\(378\) | 7.92281e13 | + | 5.75626e13i | 0.0271599 | + | 0.0197328i | ||||
\(379\) | 1.43400e14 | + | 4.41341e14i | 0.0483855 | + | 0.148915i | 0.972330 | − | 0.233611i | \(-0.0750542\pi\) |
−0.923945 | + | 0.382526i | \(0.875054\pi\) | |||||||
\(380\) | 9.06487e14 | − | 2.94535e14i | 0.301065 | − | 0.0978218i | ||||
\(381\) | −1.55016e14 | + | 2.13362e14i | −0.0506789 | + | 0.0697536i | ||||
\(382\) | 1.63372e14 | + | 2.24862e14i | 0.0525772 | + | 0.0723663i | ||||
\(383\) | −8.81092e14 | + | 2.71172e15i | −0.279144 | + | 0.859118i | 0.708949 | + | 0.705260i | \(0.249170\pi\) |
−0.988093 | + | 0.153858i | \(0.950830\pi\) | |||||||
\(384\) | − | 2.34519e14i | − | 0.0731459i | ||||||
\(385\) | 2.09751e15 | + | 4.13017e14i | 0.644080 | + | 0.126825i | ||||
\(386\) | 3.49760e14 | 0.105742 | ||||||||
\(387\) | 3.35230e15 | + | 1.08923e15i | 0.997876 | + | 0.324230i | ||||
\(388\) | −1.89141e15 | + | 1.37419e15i | −0.554365 | + | 0.402769i | ||||
\(389\) | 7.06874e14 | + | 5.13574e14i | 0.204007 | + | 0.148220i | 0.685098 | − | 0.728451i | \(-0.259759\pi\) |
−0.481091 | + | 0.876671i | \(0.659759\pi\) | |||||||
\(390\) | 2.83112e13 | + | 8.71329e13i | 0.00804582 | + | 0.0247625i | ||||
\(391\) | −3.08347e15 | + | 1.00188e15i | −0.862936 | + | 0.280385i | ||||
\(392\) | −1.23106e14 | + | 1.69442e14i | −0.0339285 | + | 0.0466985i | ||||
\(393\) | −4.06668e14 | − | 5.59731e14i | −0.110379 | − | 0.151923i | ||||
\(394\) | −3.89268e13 | + | 1.19804e14i | −0.0104057 | + | 0.0320254i | ||||
\(395\) | 5.39822e13i | 0.0142124i | ||||||||
\(396\) | 2.71936e15 | − | 2.52349e15i | 0.705173 | − | 0.654382i | ||||
\(397\) | 4.42682e15 | 1.13070 | 0.565352 | − | 0.824849i | \(-0.308740\pi\) | ||||
0.565352 | + | 0.824849i | \(0.308740\pi\) | |||||||
\(398\) | 8.24139e14 | + | 2.67779e14i | 0.207349 | + | 0.0673718i | ||||
\(399\) | −1.78417e14 | + | 1.29627e14i | −0.0442179 | + | 0.0321262i | ||||
\(400\) | 1.41165e15 | + | 1.02562e15i | 0.344640 | + | 0.250396i | ||||
\(401\) | −1.18516e15 | − | 3.64754e15i | −0.285043 | − | 0.877272i | −0.986386 | − | 0.164448i | \(-0.947416\pi\) |
0.701343 | − | 0.712824i | \(-0.252584\pi\) | |||||||
\(402\) | 2.48900e13 | − | 8.08725e12i | 0.00589751 | − | 0.00191622i | ||||
\(403\) | −5.82444e15 | + | 8.01665e15i | −1.35964 | + | 1.87138i | ||||
\(404\) | −1.12791e15 | − | 1.55244e15i | −0.259411 | − | 0.357048i | ||||
\(405\) | 9.50251e14 | − | 2.92457e15i | 0.215332 | − | 0.662723i | ||||
\(406\) | 5.91386e14i | 0.132043i | ||||||||
\(407\) | 5.03210e15 | + | 2.80538e15i | 1.10709 | + | 0.617199i | ||||
\(408\) | −8.42180e13 | −0.0182576 | ||||||||
\(409\) | 2.98772e15 | + | 9.70770e14i | 0.638264 | + | 0.207385i | 0.610233 | − | 0.792222i | \(-0.291076\pi\) |
0.0280319 | + | 0.999607i | \(0.491076\pi\) | |||||||
\(410\) | 4.42191e14 | − | 3.21270e14i | 0.0930908 | − | 0.0676344i | ||||
\(411\) | 5.64695e14 | + | 4.10275e14i | 0.117156 | + | 0.0851185i | ||||
\(412\) | −1.92479e14 | − | 5.92389e14i | −0.0393550 | − | 0.121122i | ||||
\(413\) | 1.22190e15 | − | 3.97018e14i | 0.246226 | − | 0.0800037i | ||||
\(414\) | −7.37967e14 | + | 1.01572e15i | −0.146566 | + | 0.201731i | ||||
\(415\) | −1.26011e15 | − | 1.73439e15i | −0.246671 | − | 0.339514i | ||||
\(416\) | 1.16042e15 | − | 3.57141e15i | 0.223901 | − | 0.689095i | ||||
\(417\) | − | 7.99591e14i | − | 0.152073i | ||||||
\(418\) | −1.31610e14 | − | 2.84043e14i | −0.0246736 | − | 0.0532508i | ||||
\(419\) | −5.46668e15 | −1.01028 | −0.505138 | − | 0.863039i | \(-0.668558\pi\) | ||||
−0.505138 | + | 0.863039i | \(0.668558\pi\) | |||||||
\(420\) | 4.77455e14 | + | 1.55134e14i | 0.0869834 | + | 0.0282626i | ||||
\(421\) | −2.12998e15 | + | 1.54752e15i | −0.382545 | + | 0.277935i | −0.762394 | − | 0.647113i | \(-0.775976\pi\) |
0.379849 | + | 0.925049i | \(0.375976\pi\) | |||||||
\(422\) | −5.99102e13 | − | 4.35273e13i | −0.0106078 | − | 0.00770703i | ||||
\(423\) | −6.48936e14 | − | 1.99722e15i | −0.113282 | − | 0.348645i | ||||
\(424\) | −3.04561e14 | + | 9.89579e13i | −0.0524178 | + | 0.0170316i | ||||
\(425\) | 7.50674e14 | − | 1.03321e15i | 0.127385 | − | 0.175330i | ||||
\(426\) | −5.06020e13 | − | 6.96477e13i | −0.00846662 | − | 0.0116533i | ||||
\(427\) | 1.65224e15 | − | 5.08508e15i | 0.272588 | − | 0.838940i | ||||
\(428\) | 9.73334e15i | 1.58343i | ||||||||
\(429\) | −1.47221e15 | + | 6.82144e14i | −0.236171 | + | 0.109429i | ||||
\(430\) | −6.77088e14 | −0.107111 | ||||||||
\(431\) | −5.35157e15 | − | 1.73883e15i | −0.834868 | − | 0.271265i | −0.139773 | − | 0.990184i | \(-0.544637\pi\) |
−0.695094 | + | 0.718919i | \(0.744637\pi\) | |||||||
\(432\) | 1.39721e15 | − | 1.01513e15i | 0.214961 | − | 0.156178i | ||||
\(433\) | −3.58944e15 | − | 2.60788e15i | −0.544628 | − | 0.395695i | 0.281173 | − | 0.959657i | \(-0.409276\pi\) |
−0.825801 | + | 0.563962i | \(0.809276\pi\) | |||||||
\(434\) | −3.11173e14 | − | 9.57693e14i | −0.0465655 | − | 0.143314i | ||||
\(435\) | −7.49106e14 | + | 2.43399e14i | −0.110562 | + | 0.0359239i | ||||
\(436\) | −3.91249e15 | + | 5.38509e15i | −0.569554 | + | 0.783923i | ||||
\(437\) | −3.35786e15 | − | 4.62170e15i | −0.482142 | − | 0.663611i | ||||
\(438\) | −4.70432e13 | + | 1.44784e14i | −0.00666272 | + | 0.0205058i | ||||
\(439\) | − | 3.03220e15i | − | 0.423614i | −0.977312 | − | 0.211807i | \(-0.932065\pi\) | ||
0.977312 | − | 0.211807i | \(-0.0679348\pi\) | |||||||
\(440\) | −7.00449e14 | + | 1.25642e15i | −0.0965296 | + | 0.173148i | ||||
\(441\) | −1.55581e15 | −0.211507 | ||||||||
\(442\) | −8.44431e14 | − | 2.74372e14i | −0.113248 | − | 0.0367965i | ||||
\(443\) | 2.48101e15 | − | 1.80256e15i | 0.328251 | − | 0.238488i | −0.411437 | − | 0.911438i | \(-0.634973\pi\) |
0.739688 | + | 0.672950i | \(0.234973\pi\) | |||||||
\(444\) | 1.09455e15 | + | 7.95240e14i | 0.142869 | + | 0.103801i | ||||
\(445\) | −1.14332e15 | − | 3.51878e15i | −0.147234 | − | 0.453139i | ||||
\(446\) | 6.33649e14 | − | 2.05885e14i | 0.0805081 | − | 0.0261587i | ||||
\(447\) | 9.47876e14 | − | 1.30464e15i | 0.118825 | − | 0.163548i | ||||
\(448\) | −3.75532e15 | − | 5.16876e15i | −0.464493 | − | 0.639320i | ||||
\(449\) | −3.04119e14 | + | 9.35983e14i | −0.0371164 | + | 0.114233i | −0.967898 | − | 0.251343i | \(-0.919128\pi\) |
0.930782 | + | 0.365576i | \(0.119128\pi\) | |||||||
\(450\) | − | 4.94559e14i | − | 0.0595583i | ||||||
\(451\) | 6.58455e15 | + | 7.09562e15i | 0.782468 | + | 0.843201i | ||||
\(452\) | 7.09926e15 | 0.832496 | ||||||||
\(453\) | 1.47690e15 | + | 4.79874e14i | 0.170908 | + | 0.0555314i | ||||
\(454\) | −7.36209e14 | + | 5.34887e14i | −0.0840748 | + | 0.0610839i | ||||
\(455\) | 8.64321e15 | + | 6.27966e15i | 0.974107 | + | 0.707730i | ||||
\(456\) | −4.58563e13 | − | 1.41131e14i | −0.00510047 | − | 0.0156976i | ||||
\(457\) | −8.58679e15 | + | 2.79002e15i | −0.942613 | + | 0.306274i | −0.739710 | − | 0.672925i | \(-0.765038\pi\) |
−0.202903 | + | 0.979199i | \(0.565038\pi\) | |||||||
\(458\) | 1.02156e15 | − | 1.40605e15i | 0.110680 | − | 0.152338i | ||||
\(459\) | −7.42999e14 | − | 1.02265e15i | −0.0794533 | − | 0.109358i | ||||
\(460\) | −4.01860e15 | + | 1.23680e16i | −0.424158 | + | 1.30542i | ||||
\(461\) | − | 1.05673e16i | − | 1.10093i | −0.834858 | − | 0.550465i | \(-0.814450\pi\) | ||
0.834858 | − | 0.550465i | \(-0.185550\pi\) | |||||||
\(462\) | 3.18560e13 | − | 1.61781e14i | 0.00327596 | − | 0.0166370i | ||||
\(463\) | −4.39564e15 | −0.446207 | −0.223104 | − | 0.974795i | \(-0.571619\pi\) | ||||
−0.223104 | + | 0.974795i | \(0.571619\pi\) | |||||||
\(464\) | 9.91883e15 | + | 3.22282e15i | 0.993923 | + | 0.322945i | ||||
\(465\) | 1.08503e15 | − | 7.88324e14i | 0.107331 | − | 0.0779807i | ||||
\(466\) | 1.34879e14 | + | 9.79954e13i | 0.0131713 | + | 0.00956952i | ||||
\(467\) | 2.81220e15 | + | 8.65506e15i | 0.271110 | + | 0.834390i | 0.990223 | + | 0.139496i | \(0.0445484\pi\) |
−0.719113 | + | 0.694893i | \(0.755452\pi\) | |||||||
\(468\) | 1.76325e16 | − | 5.72916e15i | 1.67818 | − | 0.545275i | ||||
\(469\) | 1.79382e15 | − | 2.46898e15i | 0.168555 | − | 0.231996i | ||||
\(470\) | 2.37109e14 | + | 3.26352e14i | 0.0219968 | + | 0.0302761i | ||||
\(471\) | −2.05601e14 | + | 6.32776e14i | −0.0188322 | + | 0.0579595i | ||||
\(472\) | 8.64503e14i | 0.0781834i | ||||||||
\(473\) | −1.43241e15 | − | 1.19056e16i | −0.127909 | − | 1.06313i | ||||
\(474\) | 4.16365e12 | 0.000367116 | ||||||||
\(475\) | 2.14018e15 | + | 6.95387e14i | 0.186333 | + | 0.0605431i | ||||
\(476\) | −3.93610e15 | + | 2.85974e15i | −0.338395 | + | 0.245858i | ||||
\(477\) | −1.92451e15 | − | 1.39824e15i | −0.163384 | − | 0.118706i | ||||
\(478\) | 4.30541e14 | + | 1.32507e15i | 0.0360950 | + | 0.111089i | ||||
\(479\) | −1.57757e16 | + | 5.12584e15i | −1.30610 | + | 0.424377i | −0.877699 | − | 0.479212i | \(-0.840923\pi\) |
−0.428400 | + | 0.903589i | \(0.640923\pi\) | |||||||
\(480\) | −2.98746e14 | + | 4.11189e14i | −0.0244261 | + | 0.0336197i | ||||
\(481\) | 1.69235e16 | + | 2.32932e16i | 1.36653 | + | 1.88087i | ||||
\(482\) | −3.26072e14 | + | 1.00355e15i | −0.0260035 | + | 0.0800304i | ||||
\(483\) | − | 3.00895e15i | − | 0.236991i | ||||||
\(484\) | −1.16788e16 | − | 4.78481e15i | −0.908500 | − | 0.372214i | ||||
\(485\) | 6.73396e15 | 0.517393 | ||||||||
\(486\) | −7.00684e14 | − | 2.27666e14i | −0.0531746 | − | 0.0172775i | ||||
\(487\) | 1.11704e16 | − | 8.11574e15i | 0.837323 | − | 0.608351i | −0.0842983 | − | 0.996441i | \(-0.526865\pi\) |
0.921622 | + | 0.388090i | \(0.126865\pi\) | |||||||
\(488\) | 2.91064e15 | + | 2.11470e15i | 0.215511 | + | 0.156578i | ||||
\(489\) | 7.48693e14 | + | 2.30424e15i | 0.0547584 | + | 0.168529i | ||||
\(490\) | 2.84232e14 | − | 9.23524e13i | 0.0205351 | − | 0.00667224i | ||||
\(491\) | 6.03212e15 | − | 8.30250e15i | 0.430508 | − | 0.592543i | −0.537562 | − | 0.843224i | \(-0.680655\pi\) |
0.968070 | + | 0.250681i | \(0.0806545\pi\) | |||||||
\(492\) | 1.33616e15 | + | 1.83907e15i | 0.0942038 | + | 0.129660i | ||||
\(493\) | 2.35886e15 | − | 7.25981e15i | 0.164293 | − | 0.505643i | ||||
\(494\) | − | 1.56448e15i | − | 0.107648i | ||||||
\(495\) | −1.06091e16 | + | 1.27642e15i | −0.721184 | + | 0.0867686i | ||||
\(496\) | −1.77584e16 | −1.19265 | ||||||||
\(497\) | −9.54767e15 | − | 3.10223e15i | −0.633518 | − | 0.205842i | ||||
\(498\) | −1.33773e14 | + | 9.71918e13i | −0.00876986 | + | 0.00637168i | ||||
\(499\) | −6.69383e15 | − | 4.86335e15i | −0.433582 | − | 0.315016i | 0.349498 | − | 0.936937i | \(-0.386352\pi\) |
−0.783080 | + | 0.621922i | \(0.786352\pi\) | |||||||
\(500\) | −5.09716e15 | − | 1.56874e16i | −0.326218 | − | 1.00400i | ||||
\(501\) | −2.31319e15 | + | 7.51602e14i | −0.146280 | + | 0.0475293i | ||||
\(502\) | 3.17124e14 | − | 4.36484e14i | 0.0198156 | − | 0.0272738i | ||||
\(503\) | −4.52184e15 | − | 6.22378e15i | −0.279195 | − | 0.384279i | 0.646272 | − | 0.763107i | \(-0.276327\pi\) |
−0.925467 | + | 0.378828i | \(0.876327\pi\) | |||||||
\(504\) | −1.17521e15 | + | 3.61691e15i | −0.0717019 | + | 0.220676i | ||||
\(505\) | 5.52713e15i | 0.333236i | ||||||||
\(506\) | 4.19077e15 | + | 8.25196e14i | 0.249684 | + | 0.0491648i | ||||
\(507\) | −5.69855e15 | −0.335519 | ||||||||
\(508\) | −9.75005e15 | − | 3.16798e15i | −0.567315 | − | 0.184332i | ||||
\(509\) | −1.46850e16 | + | 1.06693e16i | −0.844436 | + | 0.613518i | −0.923606 | − | 0.383343i | \(-0.874773\pi\) |
0.0791706 | + | 0.996861i | \(0.474773\pi\) | |||||||
\(510\) | 9.72224e13 | + | 7.06362e13i | 0.00552517 | + | 0.00401427i | ||||
\(511\) | 5.48578e15 | + | 1.68835e16i | 0.308115 | + | 0.948281i | ||||
\(512\) | 1.07332e16 | − | 3.48743e15i | 0.595813 | − | 0.193591i | ||||
\(513\) | 1.30918e15 | − | 1.80193e15i | 0.0718283 | − | 0.0988632i | ||||
\(514\) | −1.85585e14 | − | 2.55436e14i | −0.0100639 | − | 0.0138517i | ||||
\(515\) | −5.54403e14 | + | 1.70628e15i | −0.0297154 | + | 0.0914547i | ||||
\(516\) | − | 2.81601e15i | − | 0.149188i | ||||||
\(517\) | −5.23681e15 | + | 4.85962e15i | −0.274235 | + | 0.254483i | ||||
\(518\) | −2.92588e15 | −0.151453 | ||||||||
\(519\) | 1.80344e15 | + | 5.85973e14i | 0.0922778 | + | 0.0299829i | ||||
\(520\) | −5.81586e15 | + | 4.22547e15i | −0.294167 | + | 0.213725i | ||||
\(521\) | −2.36450e16 | − | 1.71791e16i | −1.18226 | − | 0.858962i | −0.189835 | − | 0.981816i | \(-0.560795\pi\) |
−0.992425 | + | 0.122854i | \(0.960795\pi\) | |||||||
\(522\) | −9.13453e14 | − | 2.81132e15i | −0.0451506 | − | 0.138959i | ||||
\(523\) | 1.30551e16 | − | 4.24185e15i | 0.637924 | − | 0.207274i | 0.0278421 | − | 0.999612i | \(-0.491136\pi\) |
0.610082 | + | 0.792338i | \(0.291136\pi\) | |||||||
\(524\) | 1.58082e16 | − | 2.17581e16i | 0.763650 | − | 1.05107i | ||||
\(525\) | 6.96681e14 | + | 9.58899e14i | 0.0332719 | + | 0.0457949i | ||||
\(526\) | 9.63282e12 | − | 2.96468e13i | 0.000454819 | − | 0.00139979i | ||||
\(527\) | 1.29978e16i | 0.606743i | ||||||||
\(528\) | −2.53982e15 | − | 1.41594e15i | −0.117219 | − | 0.0653493i | ||||
\(529\) | 5.60292e16 | 2.55671 | ||||||||
\(530\) | 4.34588e14 | + | 1.41206e14i | 0.0196075 | + | 0.00637087i | ||||
\(531\) | −5.19540e15 | + | 3.77468e15i | −0.231767 | + | 0.168389i | ||||
\(532\) | −6.93549e15 | − | 5.03893e15i | −0.305920 | − | 0.222264i | ||||
\(533\) | 1.49491e16 | + | 4.60085e16i | 0.652005 | + | 2.00667i | ||||
\(534\) | −2.71403e14 | + | 8.81841e13i | −0.0117049 | + | 0.00380315i | ||||
\(535\) | 1.64787e16 | − | 2.26810e16i | 0.702749 | − | 0.967251i | ||||
\(536\) | 1.20703e15 | + | 1.66133e15i | 0.0509013 | + | 0.0700596i | ||||
\(537\) | −1.16863e15 | + | 3.59667e15i | −0.0487339 | + | 0.149988i | ||||
\(538\) | − | 5.72058e15i | − | 0.235910i | ||||||
\(539\) | 2.22519e15 | + | 4.80242e15i | 0.0907474 | + | 0.195852i | ||||
\(540\) | −5.07025e15 | −0.204487 | ||||||||
\(541\) | −3.22324e16 | − | 1.04730e16i | −1.28561 | − | 0.417720i | −0.415058 | − | 0.909795i | \(-0.636239\pi\) |
−0.870553 | + | 0.492075i | \(0.836239\pi\) | |||||||
\(542\) | −3.56089e15 | + | 2.58714e15i | −0.140463 | + | 0.102053i | ||||
\(543\) | 2.58972e15 | + | 1.88154e15i | 0.101031 | + | 0.0734031i | ||||
\(544\) | −1.52212e15 | − | 4.68460e15i | −0.0587293 | − | 0.180750i | ||||
\(545\) | 1.82341e16 | − | 5.92461e15i | 0.695832 | − | 0.226090i | ||||
\(546\) | 4.84350e14 | − | 6.66650e14i | 0.0182811 | − | 0.0251618i | ||||
\(547\) | 6.64521e15 | + | 9.14634e15i | 0.248076 | + | 0.341447i | 0.914836 | − | 0.403825i | \(-0.132320\pi\) |
−0.666760 | + | 0.745272i | \(0.732320\pi\) | |||||||
\(548\) | −8.38456e15 | + | 2.58050e16i | −0.309597 | + | 0.952842i | ||||
\(549\) | 2.67255e16i | 0.976093i | ||||||||
\(550\) | −1.52659e15 | + | 7.07339e14i | −0.0551499 | + | 0.0255536i | ||||
\(551\) | 1.34503e16 | 0.480641 | ||||||||
\(552\) | 1.92557e15 | + | 6.25657e14i | 0.0680653 | + | 0.0221158i | ||||
\(553\) | 3.92802e14 | − | 2.85387e14i | 0.0137348 | − | 0.00997892i | ||||
\(554\) | −3.95644e15 | − | 2.87452e15i | −0.136850 | − | 0.0994276i | ||||
\(555\) | −1.20422e15 | − | 3.70619e15i | −0.0412047 | − | 0.126815i | ||||
\(556\) | 2.95608e16 | − | 9.60489e15i | 1.00062 | − | 0.325120i | ||||
\(557\) | −1.29662e16 | + | 1.78464e16i | −0.434190 | + | 0.597612i | −0.968909 | − | 0.247419i | \(-0.920418\pi\) |
0.534718 | + | 0.845030i | \(0.320418\pi\) | |||||||
\(558\) | 2.95850e15 | + | 4.07203e15i | 0.0980092 | + | 0.134898i | ||||
\(559\) | 1.85186e16 | − | 5.69943e16i | 0.606927 | − | 1.86793i | ||||
\(560\) | 1.91463e16i | 0.620809i | ||||||||
\(561\) | −1.03636e15 | + | 1.85895e15i | −0.0332454 | + | 0.0596335i | ||||
\(562\) | 3.87558e15 | 0.123004 | ||||||||
\(563\) | 2.57416e15 | + | 8.36396e14i | 0.0808324 | + | 0.0262640i | 0.349154 | − | 0.937065i | \(-0.386469\pi\) |
−0.268322 | + | 0.963329i | \(0.586469\pi\) | |||||||
\(564\) | −1.35730e15 | + | 9.86134e14i | −0.0421697 | + | 0.0306381i | ||||
\(565\) | −1.65430e16 | − | 1.20192e16i | −0.508537 | − | 0.369474i | ||||
\(566\) | −6.55438e14 | − | 2.01723e15i | −0.0199358 | − | 0.0613560i | ||||
\(567\) | −2.63043e16 | + | 8.54679e15i | −0.791641 | + | 0.257220i | ||||
\(568\) | 3.97053e15 | − | 5.46496e15i | 0.118238 | − | 0.162741i | ||||
\(569\) | 2.84460e16 | + | 3.91525e16i | 0.838199 | + | 1.15368i | 0.986341 | + | 0.164716i | \(0.0526707\pi\) |
−0.148142 | + | 0.988966i | \(0.547329\pi\) | |||||||
\(570\) | −6.54339e13 | + | 2.01385e14i | −0.00190789 | + | 0.00587188i | ||||
\(571\) | − | 5.69972e16i | − | 1.64451i | −0.569118 | − | 0.822256i | \(-0.692715\pi\) | ||
0.569118 | − | 0.822256i | \(-0.307285\pi\) | |||||||
\(572\) | −4.29034e16 | − | 4.62334e16i | −1.22494 | − | 1.32002i | ||||
\(573\) | 3.32958e15 | 0.0940723 | ||||||||
\(574\) | −4.67545e15 | − | 1.51914e15i | −0.130723 | − | 0.0424745i | ||||
\(575\) | −2.48393e16 | + | 1.80468e16i | −0.687278 | + | 0.499336i | ||||
\(576\) | 2.58357e16 | + | 1.87707e16i | 0.707432 | + | 0.513979i | ||||
\(577\) | 1.17029e16 | + | 3.60179e16i | 0.317131 | + | 0.976030i | 0.974868 | + | 0.222782i | \(0.0715139\pi\) |
−0.657737 | + | 0.753248i | \(0.728486\pi\) | |||||||
\(578\) | 3.67757e15 | − | 1.19491e15i | 0.0986265 | − | 0.0320457i | ||||
\(579\) | 2.46274e15 | − | 3.38968e15i | 0.0653654 | − | 0.0899677i | ||||
\(580\) | −1.79969e16 | − | 2.47706e16i | −0.472748 | − | 0.650681i | ||||
\(581\) | −5.95848e15 | + | 1.83383e16i | −0.154910 | + | 0.476763i | ||||
\(582\) | − | 5.19390e14i | − | 0.0133646i | ||||||
\(583\) | −1.56351e15 | + | 7.94033e15i | −0.0398190 | + | 0.202221i | ||||
\(584\) | −1.19452e16 | −0.301105 | ||||||||
\(585\) | −5.07875e16 | − | 1.65019e16i | −1.26713 | − | 0.411716i | ||||
\(586\) | −7.63666e15 | + | 5.54836e15i | −0.188590 | + | 0.137018i | ||||
\(587\) | −5.90831e16 | − | 4.29264e16i | −1.44422 | − | 1.04929i | −0.987138 | − | 0.159869i | \(-0.948893\pi\) |
−0.457087 | − | 0.889422i | \(-0.651107\pi\) | |||||||
\(588\) | 3.84093e14 | + | 1.18212e15i | 0.00929336 | + | 0.0286020i | ||||
\(589\) | −2.17814e16 | + | 7.07721e15i | −0.521668 | + | 0.169500i | ||||
\(590\) | 7.25085e14 | − | 9.97994e14i | 0.0171900 | − | 0.0236601i | ||||
\(591\) | 8.86983e14 | + | 1.22083e15i | 0.0208157 | + | 0.0286503i | ||||
\(592\) | −1.59449e16 | + | 4.90733e16i | −0.370417 | + | 1.14003i | ||||
\(593\) | − | 5.88056e16i | − | 1.35235i | −0.736739 | − | 0.676177i | \(-0.763635\pi\) | ||
0.736739 | − | 0.676177i | \(-0.236365\pi\) | |||||||
\(594\) | 1.98924e14 | + | 1.65337e15i | 0.00452864 | + | 0.0376402i | ||||
\(595\) | 1.40136e16 | 0.315827 | ||||||||
\(596\) | 5.96185e16 | + | 1.93712e16i | 1.33016 | + | 0.432195i | ||||
\(597\) | 8.39813e15 | − | 6.10160e15i | 0.185497 | − | 0.134771i | ||||
\(598\) | 1.72689e16 | + | 1.25466e16i | 0.377622 | + | 0.274359i | ||||
\(599\) | −1.24184e16 | − | 3.82200e16i | −0.268847 | − | 0.827426i | −0.990782 | − | 0.135465i | \(-0.956747\pi\) |
0.721935 | − | 0.691961i | \(-0.243253\pi\) | |||||||
\(600\) | −7.58508e14 | + | 2.46454e14i | −0.0162575 | + | 0.00528237i | ||||
\(601\) | 3.98531e16 | − | 5.48531e16i | 0.845699 | − | 1.16400i | −0.139095 | − | 0.990279i | \(-0.544419\pi\) |
0.984794 | − | 0.173725i | \(-0.0555805\pi\) | |||||||
\(602\) | 3.57955e15 | + | 4.92683e15i | 0.0752055 | + | 0.103512i | ||||
\(603\) | −4.71385e15 | + | 1.45077e16i | −0.0980555 | + | 0.301784i | ||||
\(604\) | 6.03652e16i | 1.24327i | ||||||||
\(605\) | 1.91136e16 | + | 3.09221e16i | 0.389771 | + | 0.630575i | ||||
\(606\) | 4.26307e14 | 0.00860770 | ||||||||
\(607\) | 2.51227e16 | + | 8.16287e15i | 0.502267 | + | 0.163196i | 0.549182 | − | 0.835702i | \(-0.314939\pi\) |
−0.0469156 | + | 0.998899i | \(0.514939\pi\) | |||||||
\(608\) | 7.02159e15 | − | 5.10148e15i | 0.139000 | − | 0.100989i | ||||
\(609\) | 5.73138e15 | + | 4.16409e15i | 0.112345 | + | 0.0816237i | ||||
\(610\) | −1.58641e15 | − | 4.88248e15i | −0.0307920 | − | 0.0947680i | ||||
\(611\) | −3.39559e16 | + | 1.10329e16i | −0.652631 | + | 0.212053i | ||||
\(612\) | 1.42942e16 | − | 1.96743e16i | 0.272052 | − | 0.374447i | ||||
\(613\) | −2.42369e15 | − | 3.33593e15i | −0.0456788 | − | 0.0628715i | 0.785567 | − | 0.618777i | \(-0.212372\pi\) |
−0.831245 | + | 0.555906i | \(0.812372\pi\) | |||||||
\(614\) | 5.72199e14 | − | 1.76105e15i | 0.0106792 | − | 0.0328671i | ||||
\(615\) | − | 6.54761e15i | − | 0.121013i | ||||||
\(616\) | 1.28454e16 | − | 1.54548e15i | 0.235106 | − | 0.0282865i | ||||
\(617\) | −7.67673e16 | −1.39144 | −0.695721 | − | 0.718312i | \(-0.744915\pi\) | ||||
−0.695721 | + | 0.718312i | \(0.744915\pi\) | |||||||
\(618\) | 1.31605e14 | + | 4.27611e13i | 0.00236234 | + | 0.000767569i | ||||
\(619\) | 7.01421e16 | − | 5.09612e16i | 1.24691 | − | 0.905933i | 0.248871 | − | 0.968537i | \(-0.419940\pi\) |
0.998038 | + | 0.0626038i | \(0.0199405\pi\) | |||||||
\(620\) | 4.21780e16 | + | 3.06441e16i | 0.742567 | + | 0.539506i | ||||
\(621\) | 9.39077e15 | + | 2.89018e16i | 0.163739 | + | 0.503936i | ||||
\(622\) | 7.71427e14 | − | 2.50652e14i | 0.0133215 | − | 0.00432841i | ||||
\(623\) | −1.95600e16 | + | 2.69220e16i | −0.334534 | + | 0.460447i | ||||
\(624\) | −8.54166e15 | − | 1.17566e16i | −0.144689 | − | 0.199147i | ||||
\(625\) | −6.38465e15 | + | 1.96499e16i | −0.107117 | + | 0.329671i | ||||
\(626\) | 6.24309e15i | 0.103742i | ||||||||
\(627\) | −3.67949e15 | − | 7.24520e14i | −0.0605594 | − | 0.0119246i | ||||
\(628\) | −2.58634e16 | −0.421626 | ||||||||
\(629\) | 3.59178e16 | + | 1.16704e16i | 0.579971 | + | 0.188444i | ||||
\(630\) | 4.39029e15 | − | 3.18973e15i | 0.0702182 | − | 0.0510165i | ||||
\(631\) | 2.77534e16 | + | 2.01640e16i | 0.439684 | + | 0.319449i | 0.785509 | − | 0.618850i | \(-0.212401\pi\) |
−0.345826 | + | 0.938299i | \(0.612401\pi\) | |||||||
\(632\) | 1.00957e14 | + | 3.10714e14i | 0.00158429 | + | 0.00487593i | ||||
\(633\) | −8.43685e14 | + | 2.74130e14i | −0.0131147 | + | 0.00426122i | ||||
\(634\) | −2.86769e15 | + | 3.94703e15i | −0.0441567 | + | 0.0607764i | ||||
\(635\) | 1.73565e16 | + | 2.38891e16i | 0.264740 | + | 0.364383i | ||||
\(636\) | −5.87276e14 | + | 1.80745e15i | −0.00887360 | + | 0.0273101i | ||||
\(637\) | 2.64512e16i | 0.395922i | ||||||||
\(638\) | −7.37142e15 | + | 6.84049e15i | −0.109302 | + | 0.101429i | ||||
\(639\) | 5.01793e16 | 0.737088 | ||||||||
\(640\) | −2.49728e16 | − | 8.11417e15i | −0.363403 | − | 0.118077i | ||||
\(641\) | 7.99361e15 | − | 5.80770e15i | 0.115238 | − | 0.0837252i | −0.528674 | − | 0.848825i | \(-0.677310\pi\) |
0.643912 | + | 0.765100i | \(0.277310\pi\) | |||||||
\(642\) | −1.74938e15 | − | 1.27100e15i | −0.0249847 | − | 0.0181525i | ||||
\(643\) | −9.87864e15 | − | 3.04033e16i | −0.139776 | − | 0.430185i | 0.856527 | − | 0.516103i | \(-0.172618\pi\) |
−0.996302 | + | 0.0859179i | \(0.972618\pi\) | |||||||
\(644\) | 1.11241e17 | − | 3.61443e16i | 1.55937 | − | 0.506669i | ||||
\(645\) | −4.76754e15 | + | 6.56196e15i | −0.0662119 | + | 0.0911329i | ||||
\(646\) | −1.20621e15 | − | 1.66020e15i | −0.0165969 | − | 0.0228436i | ||||
\(647\) | 3.70095e16 | − | 1.13903e17i | 0.504530 | − | 1.55278i | −0.297029 | − | 0.954868i | \(-0.595996\pi\) |
0.801559 | − | 0.597916i | \(-0.204004\pi\) | |||||||
\(648\) | − | 1.86105e16i | − | 0.251367i | ||||||
\(649\) | 1.90822e16 | + | 1.06383e16i | 0.255365 | + | 0.142365i | ||||
\(650\) | −8.40827e15 | −0.111488 | ||||||||
\(651\) | −1.14725e16 | − | 3.72763e15i | −0.150720 | − | 0.0489719i | ||||
\(652\) | −7.61940e16 | + | 5.53582e16i | −0.991826 | + | 0.720604i | ||||
\(653\) | 1.37861e16 | + | 1.00162e16i | 0.177812 | + | 0.129188i | 0.673131 | − | 0.739523i | \(-0.264949\pi\) |
−0.495319 | + | 0.868711i | \(0.664949\pi\) | |||||||
\(654\) | −4.56965e14 | − | 1.40639e15i | −0.00584004 | − | 0.0179738i | ||||
\(655\) | −7.36736e16 | + | 2.39380e16i | −0.932963 | + | 0.303138i | ||||
\(656\) | −5.09588e16 | + | 7.01387e16i | −0.639434 | + | 0.880106i | ||||
\(657\) | −5.21564e16 | − | 7.17872e16i | −0.648508 | − | 0.892595i | ||||
\(658\) | 1.12118e15 | − | 3.45064e15i | 0.0138140 | − | 0.0425152i | ||||
\(659\) | − | 3.13884e16i | − | 0.383228i | −0.981470 | − | 0.191614i | \(-0.938628\pi\) | ||
0.981470 | − | 0.191614i | \(-0.0613722\pi\) | |||||||
\(660\) | 3.58896e15 | + | 7.74573e15i | 0.0434216 | + | 0.0937128i | ||||
\(661\) | −6.39115e16 | −0.766250 | −0.383125 | − | 0.923697i | \(-0.625152\pi\) | ||||
−0.383125 | + | 0.923697i | \(0.625152\pi\) | |||||||
\(662\) | −4.00899e15 | − | 1.30260e15i | −0.0476307 | − | 0.0154761i | ||||
\(663\) | −8.60491e15 | + | 6.25183e15i | −0.101313 | + | 0.0736082i | ||||
\(664\) | −1.04966e16 | − | 7.62623e15i | −0.122473 | − | 0.0889819i | ||||
\(665\) | 7.63035e15 | + | 2.34838e16i | 0.0882297 | + | 0.271543i | ||||
\(666\) | 1.39090e16 | − | 4.51930e15i | 0.159386 | − | 0.0517876i | ||||
\(667\) | −1.07867e17 | + | 1.48466e17i | −1.22499 | + | 1.68605i | ||||
\(668\) | −5.55733e16 | − | 7.64900e16i | −0.625471 | − | 0.860887i | ||||
\(669\) | 2.46635e15 | − | 7.59065e15i | 0.0275105 | − | 0.0846686i | ||||
\(670\) | − | 2.93024e15i | − | 0.0323932i | ||||||
\(671\) | 8.24952e16 | − | 3.82239e16i | 0.903844 | − | 0.418793i | ||||
\(672\) | 4.57139e15 | 0.0496401 | ||||||||
\(673\) | 6.41056e16 | + | 2.08292e16i | 0.689931 | + | 0.224172i | 0.632938 | − | 0.774202i | \(-0.281849\pi\) |
0.0569928 | + | 0.998375i | \(0.481849\pi\) | |||||||
\(674\) | −1.08793e16 | + | 7.90427e15i | −0.116049 | + | 0.0843146i | ||||
\(675\) | −9.68447e15 | − | 7.03618e15i | −0.102389 | − | 0.0743900i | ||||
\(676\) | −6.84524e16 | − | 2.10675e17i | −0.717312 | − | 2.20766i | ||||
\(677\) | −1.68760e17 | + | 5.48334e16i | −1.75282 | + | 0.569525i | −0.996417 | − | 0.0845814i | \(-0.973045\pi\) |
−0.756402 | + | 0.654107i | \(0.773045\pi\) | |||||||
\(678\) | −9.27037e14 | + | 1.27596e15i | −0.00954374 | + | 0.0131358i | ||||
\(679\) | −3.56003e16 | − | 4.89996e16i | −0.363275 | − | 0.500005i | ||||
\(680\) | −2.91388e15 | + | 8.96800e15i | −0.0294726 | + | 0.0907072i | ||||
\(681\) | 1.09012e16i | 0.109293i | ||||||||
\(682\) | 8.33802e15 | − | 1.49562e16i | 0.0828622 | − | 0.148633i | ||||
\(683\) | 1.54821e17 | 1.52512 | 0.762561 | − | 0.646916i | \(-0.223942\pi\) | ||||
0.762561 | + | 0.646916i | \(0.223942\pi\) | |||||||
\(684\) | 4.07530e16 | + | 1.32414e16i | 0.397945 | + | 0.129300i | ||||
\(685\) | 6.32263e16 | − | 4.59366e16i | 0.612004 | − | 0.444647i | ||||
\(686\) | −1.22492e16 | − | 8.89960e15i | −0.117534 | − | 0.0853937i | ||||
\(687\) | −6.43365e15 | − | 1.98007e16i | −0.0611951 | − | 0.188339i | ||||
\(688\) | 1.02141e17 | − | 3.31876e16i | 0.963095 | − | 0.312928i | ||||
\(689\) | −2.37722e16 | + | 3.27197e16i | −0.222206 | + | 0.305840i | ||||
\(690\) | −1.69815e15 | − | 2.33731e15i | −0.0157356 | − | 0.0216581i | ||||
\(691\) | −1.84628e16 | + | 5.68228e16i | −0.169602 | + | 0.521981i | −0.999346 | − | 0.0361634i | \(-0.988486\pi\) |
0.829744 | + | 0.558144i | \(0.188486\pi\) | |||||||
\(692\) | 7.37118e16i | 0.671275i | ||||||||
\(693\) | 6.53747e16 | + | 7.04488e16i | 0.590215 | + | 0.636025i | ||||
\(694\) | −1.84869e15 | −0.0165465 | ||||||||
\(695\) | −8.51449e16 | − | 2.76653e16i | −0.755527 | − | 0.245485i | ||||
\(696\) | −3.85654e15 | + | 2.80194e15i | −0.0339267 | + | 0.0246492i | ||||
\(697\) | 5.13361e16 | + | 3.72978e16i | 0.447740 | + | 0.325302i | ||||
\(698\) | 3.41877e15 | + | 1.05219e16i | 0.0295623 | + | 0.0909833i | ||||
\(699\) | 1.89943e15 | − | 6.17163e14i | 0.0162840 | − | 0.00529099i | ||||
\(700\) | −2.70817e16 | + | 3.72747e16i | −0.230190 | + | 0.316830i | ||||
\(701\) | 7.72660e16 | + | 1.06348e17i | 0.651149 | + | 0.896230i | 0.999148 | − | 0.0412651i | \(-0.0131388\pi\) |
−0.347999 | + | 0.937495i | \(0.613139\pi\) | |||||||
\(702\) | −2.57173e15 | + | 7.91498e15i | −0.0214884 | + | 0.0661344i | ||||
\(703\) | 6.65450e16i | 0.551294i | ||||||||
\(704\) | 2.09895e16 | − | 1.06595e17i | 0.172411 | − | 0.875592i | ||||
\(705\) | 4.83236e15 | 0.0393573 | ||||||||
\(706\) | 1.31335e16 | + | 4.26733e15i | 0.106060 | + | 0.0344610i | ||||
\(707\) | 4.02181e16 | − | 2.92202e16i | 0.322037 | − | 0.233973i | ||||
\(708\) | 4.15065e15 | + | 3.01563e15i | 0.0329547 | + | 0.0239430i | ||||
\(709\) | 2.05738e16 | + | 6.33197e16i | 0.161971 | + | 0.498496i | 0.998800 | − | 0.0489682i | \(-0.0155933\pi\) |
−0.836829 | + | 0.547464i | \(0.815593\pi\) | |||||||
\(710\) | −9.16726e15 | + | 2.97862e15i | −0.0715632 | + | 0.0232523i | ||||
\(711\) | −1.42649e15 | + | 1.96339e15i | −0.0110421 | + | 0.0151981i | ||||
\(712\) | −1.31616e16 | − | 1.81153e16i | −0.101025 | − | 0.139048i | ||||
\(713\) | 9.65605e16 | − | 2.97183e17i | 0.734958 | − | 2.26197i | ||||
\(714\) | − | 1.08087e15i | − | 0.00815801i | ||||||
\(715\) | 2.17011e16 | + | 1.80371e17i | 0.162423 | + | 1.34999i | ||||
\(716\) | −1.47007e17 | −1.09108 | ||||||||
\(717\) | 1.58734e16 | + | 5.15757e15i | 0.116830 | + | 0.0379603i | ||||
\(718\) | 2.51709e16 | − | 1.82877e16i | 0.183718 | − | 0.133479i | ||||
\(719\) | 1.96633e17 | + | 1.42862e17i | 1.42326 | + | 1.03406i | 0.991223 | + | 0.132198i | \(0.0422034\pi\) |
0.432032 | + | 0.901858i | \(0.357797\pi\) | |||||||
\(720\) | −2.95734e16 | − | 9.10176e16i | −0.212279 | − | 0.653327i | ||||
\(721\) | 1.53467e16 | − | 4.98644e15i | 0.109245 | − | 0.0354959i | ||||
\(722\) | −9.10953e15 | + | 1.25382e16i | −0.0643092 | + | 0.0885140i | ||||
\(723\) | 7.42986e15 | + | 1.02263e16i | 0.0520176 | + | 0.0715961i | ||||
\(724\) | −3.84520e16 | + | 1.18343e17i | −0.266985 | + | 0.821697i | ||||
\(725\) | − | 7.22883e16i | − | 0.497783i | ||||||
\(726\) | 2.38502e15 | − | 1.47423e15i | 0.0162882 | − | 0.0100680i | ||||
\(727\) | −1.06721e17 | −0.722840 | −0.361420 | − | 0.932403i | \(-0.617708\pi\) | ||||
−0.361420 | + | 0.932403i | \(0.617708\pi\) | |||||||
\(728\) | 6.14932e16 | + | 1.99803e16i | 0.413084 | + | 0.134219i | ||||
\(729\) | 1.07002e17 | − | 7.77416e16i | 0.712898 | − | 0.517951i | ||||
\(730\) | 1.37897e16 | + | 1.00188e16i | 0.0911211 | + | 0.0662033i | ||||
\(731\) | −2.42907e16 | − | 7.47592e16i | −0.159197 | − | 0.489959i | ||||
\(732\) | 2.03062e16 | − | 6.59789e15i | 0.131996 | − | 0.0428883i | ||||
\(733\) | −6.60750e16 | + | 9.09444e16i | −0.426003 | + | 0.586343i | −0.967030 | − | 0.254662i | \(-0.918036\pi\) |
0.541027 | + | 0.841005i | \(0.318036\pi\) | |||||||
\(734\) | −1.04003e16 | − | 1.43147e16i | −0.0665071 | − | 0.0915391i | ||||
\(735\) | 1.10632e15 | − | 3.40489e15i | 0.00701706 | − | 0.0215963i | ||||
\(736\) | 1.18417e17i | 0.744986i | ||||||||
\(737\) | 5.15239e16 | − | 6.19905e15i | 0.321517 | − | 0.0386830i | ||||
\(738\) | 2.45725e16 | 0.152094 | ||||||||
\(739\) | 3.44750e15 | + | 1.12016e15i | 0.0211660 | + | 0.00687724i | 0.319581 | − | 0.947559i | \(-0.396458\pi\) |
−0.298415 | + | 0.954436i | \(0.596458\pi\) | |||||||
\(740\) | 1.22552e17 | − | 8.90394e16i | 0.746330 | − | 0.542241i | ||||
\(741\) | −1.51620e16 | − | 1.10159e16i | −0.0915901 | − | 0.0665441i | ||||
\(742\) | −1.27004e15 | − | 3.90879e15i | −0.00761019 | − | 0.0234218i | ||||
\(743\) | −2.17749e17 | + | 7.07510e16i | −1.29427 | + | 0.420533i | −0.873583 | − | 0.486675i | \(-0.838210\pi\) |
−0.420683 | + | 0.907208i | \(0.638210\pi\) | |||||||
\(744\) | 4.77098e15 | − | 6.56670e15i | 0.0281300 | − | 0.0387177i | ||||
\(745\) | −1.06129e17 | − | 1.46075e17i | −0.620723 | − | 0.854352i | ||||
\(746\) | −6.71834e13 | + | 2.06769e14i | −0.000389789 | + | 0.00119965i | ||||
\(747\) | − | 9.63798e16i | − | 0.554706i | ||||||
\(748\) | −8.11741e16 | − | 1.59838e16i | −0.463455 | − | 0.0912580i | ||||
\(749\) | −2.52156e17 | −1.42816 | ||||||||
\(750\) | 3.48512e15 | + | 1.13238e15i | 0.0195817 | + | 0.00636247i | ||||
\(751\) | −1.40230e17 | + | 1.01883e17i | −0.781630 | + | 0.567888i | −0.905468 | − | 0.424415i | \(-0.860480\pi\) |
0.123838 | + | 0.992302i | \(0.460480\pi\) | |||||||
\(752\) | −5.17648e16 | − | 3.76093e16i | −0.286238 | − | 0.207964i | ||||
\(753\) | −1.99721e15 | − | 6.14678e15i | −0.0109560 | − | 0.0337192i | ||||
\(754\) | −4.77969e16 | + | 1.55301e16i | −0.260118 | + | 0.0845176i | ||||
\(755\) | 1.02199e17 | − | 1.40665e17i | 0.551781 | − | 0.759461i | ||||
\(756\) | 2.68048e16 | + | 3.68936e16i | 0.143576 | + | 0.197615i | ||||
\(757\) | −3.15983e16 | + | 9.72496e16i | −0.167915 | + | 0.516788i | −0.999239 | − | 0.0389991i | \(-0.987583\pi\) |
0.831325 | + | 0.555787i | \(0.187583\pi\) | |||||||
\(758\) | − | 4.00752e15i | − | 0.0211281i | ||||||
\(759\) | 3.75056e16 | − | 3.48042e16i | 0.196176 | − | 0.182046i | ||||
\(760\) | −1.66150e16 | −0.0862222 | ||||||||
\(761\) | 8.39653e16 | + | 2.72820e16i | 0.432307 | + | 0.140465i | 0.517083 | − | 0.855935i | \(-0.327018\pi\) |
−0.0847768 | + | 0.996400i | \(0.527018\pi\) | |||||||
\(762\) | 1.84257e15 | − | 1.33870e15i | 0.00941225 | − | 0.00683840i | ||||
\(763\) | −1.39508e17 | − | 1.01359e17i | −0.707054 | − | 0.513705i | ||||
\(764\) | 3.99958e16 | + | 1.23094e17i | 0.201119 | + | 0.618982i | ||||
\(765\) | −6.66178e16 | + | 2.16454e16i | −0.332370 | + | 0.107993i | ||||
\(766\) | 1.44732e16 | − | 1.99207e16i | 0.0716460 | − | 0.0986123i | ||||
\(767\) | 6.41754e16 | + | 8.83299e16i | 0.315208 | + | 0.433846i | ||||
\(768\) | 7.40428e15 | − | 2.27880e16i | 0.0360841 | − | 0.111055i | ||||
\(769\) | − | 4.00581e17i | − | 1.93701i | −0.248988 | − | 0.968507i | \(-0.580098\pi\) | ||
0.248988 | − | 0.968507i | \(-0.419902\pi\) | |||||||
\(770\) | −1.61251e16 | − | 8.98970e15i | −0.0773676 | − | 0.0431321i | ||||
\(771\) | −3.78229e15 | −0.0180065 | ||||||||
\(772\) | 1.54899e17 | + | 5.03297e16i | 0.731720 | + | 0.237750i | ||||
\(773\) | −7.66908e16 | + | 5.57191e16i | −0.359473 | + | 0.261172i | −0.752832 | − | 0.658212i | \(-0.771313\pi\) |
0.393359 | + | 0.919385i | \(0.371313\pi\) | |||||||
\(774\) | −2.46264e16 | − | 1.78921e16i | −0.114539 | − | 0.0832178i | ||||
\(775\) | 3.80364e16 | + | 1.17064e17i | 0.175545 | + | 0.540273i | ||||
\(776\) | 3.87597e16 | − | 1.25938e16i | 0.177505 | − | 0.0576748i | ||||
\(777\) | −2.06018e16 | + | 2.83559e16i | −0.0936222 | + | 0.128860i | ||||
\(778\) | −4.43517e15 | − | 6.10449e15i | −0.0200001 | − | 0.0275278i | ||||
\(779\) | −3.45509e16 | + | 1.06337e17i | −0.154609 | + | 0.475837i | ||||
\(780\) | 4.26627e16i | 0.189444i | ||||||||
\(781\) | −7.17685e16 | − | 1.54892e17i | −0.316248 | − | 0.682529i | ||||
\(782\) | 2.79988e16 | 0.122433 | ||||||||
\(783\) | −6.80473e16 | − | 2.21099e16i | −0.295284 | − | 0.0959437i | ||||
\(784\) | −3.83506e16 | + | 2.78633e16i | −0.165149 | + | 0.119988i | ||||
\(785\) | 6.02679e16 | + | 4.37872e16i | 0.257554 | + | 0.187124i | ||||
\(786\) | 1.84634e15 | + | 5.68244e15i | 0.00783025 | + | 0.0240990i | ||||
\(787\) | 2.21028e17 | − | 7.18162e16i | 0.930247 | − | 0.302255i | 0.195583 | − | 0.980687i | \(-0.437340\pi\) |
0.734664 | + | 0.678432i | \(0.237340\pi\) | |||||||
\(788\) | −3.44792e16 | + | 4.74565e16i | −0.144012 | + | 0.198216i | ||||
\(789\) | −2.19493e14 | − | 3.02106e14i | −0.000909826 | − | 0.00125227i | ||||
\(790\) | 1.44059e14 | − | 4.43368e14i | 0.000592622 | − | 0.00182390i | ||||
\(791\) | 1.83916e17i | 0.750864i | ||||||||
\(792\) | −5.86771e16 | + | 2.71878e16i | −0.237748 | + | 0.110160i | ||||
\(793\) | 4.54375e17 | 1.82715 | ||||||||
\(794\) | −3.63585e16 | − | 1.18136e16i | −0.145105 | − | 0.0471475i | ||||
\(795\) | 4.42853e15 | − | 3.21752e15i | 0.0175411 | − | 0.0127444i | ||||
\(796\) | 3.26456e17 | + | 2.37184e17i | 1.28335 | + | 0.932410i | ||||
\(797\) | −8.23799e16 | − | 2.53539e17i | −0.321419 | − | 0.989226i | −0.973031 | − | 0.230674i | \(-0.925907\pi\) |
0.651612 | − | 0.758552i | \(-0.274093\pi\) | |||||||
\(798\) | 1.81130e15 | − | 5.88528e14i | 0.00701413 | − | 0.00227903i | ||||
\(799\) | −2.75271e16 | + | 3.78878e16i | −0.105799 | + | 0.145619i | ||||
\(800\) | −2.74179e16 | − | 3.77374e16i | −0.104591 | − | 0.143957i | ||||
\(801\) | 5.14003e16 | − | 1.58194e17i | 0.194612 | − | 0.598955i | ||||
\(802\) | 3.31208e16i | 0.124467i | ||||||||
\(803\) | −1.46994e17 | + | 2.63668e17i | −0.548284 | + | 0.983476i | ||||
\(804\) | 1.21868e16 | 0.0451185 | ||||||||
\(805\) | −3.20410e17 | − | 1.04107e17i | −1.17742 | − | 0.382566i | ||||
\(806\) | 6.92309e16 | − | 5.02992e16i | 0.252516 | − | 0.183464i | ||||
\(807\) | −5.54406e16 | − | 4.02800e16i | −0.200718 | − | 0.145830i | ||||
\(808\) | 1.03368e16 | + | 3.18133e16i | 0.0371464 | + | 0.114325i | ||||
\(809\) | 1.40819e17 | − | 4.57550e16i | 0.502310 | − | 0.163210i | −0.0468922 | − | 0.998900i | \(-0.514932\pi\) |
0.549202 | + | 0.835690i | \(0.314932\pi\) | |||||||
\(810\) | −1.56092e16 | + | 2.14843e16i | −0.0552677 | + | 0.0760695i | ||||
\(811\) | 1.15528e17 | + | 1.59011e17i | 0.406034 | + | 0.558858i | 0.962246 | − | 0.272183i | \(-0.0877455\pi\) |
−0.556211 | + | 0.831041i | \(0.687745\pi\) | |||||||
\(812\) | −8.50992e16 | + | 2.61909e17i | −0.296886 | + | 0.913721i | ||||
\(813\) | 5.27268e16i | 0.182595i | ||||||||
\(814\) | −3.38432e16 | − | 3.64700e16i | −0.116339 | − | 0.125369i | ||||
\(815\) | 2.71272e17 | 0.925678 | ||||||||
\(816\) | −1.81286e16 | − | 5.89032e15i | −0.0614076 | − | 0.0199525i | ||||
\(817\) | 1.12054e17 | − | 8.14120e16i | 0.376786 | − | 0.273751i | ||||
\(818\) | −2.19482e16 | − | 1.59463e16i | −0.0732621 | − | 0.0532280i | ||||
\(819\) | 1.48422e17 | + | 4.56795e17i | 0.491807 | + | 1.51362i | ||||
\(820\) | 2.42064e17 | − | 7.86515e16i | 0.796247 | − | 0.258716i | ||||
\(821\) | 1.65849e17 | − | 2.28272e17i | 0.541570 | − | 0.745407i | −0.447268 | − | 0.894400i | \(-0.647603\pi\) |
0.988838 | + | 0.148993i | \(0.0476031\pi\) | |||||||
\(822\) | −3.54309e15 | − | 4.87664e15i | −0.0114855 | − | 0.0158085i | ||||
\(823\) | 9.51089e16 | − | 2.92715e17i | 0.306071 | − | 0.941989i | −0.673205 | − | 0.739456i | \(-0.735083\pi\) |
0.979275 | − | 0.202533i | \(-0.0649173\pi\) | |||||||
\(824\) | 1.08579e16i | 0.0346883i | ||||||||
\(825\) | −3.89393e15 | + | 1.97754e16i | −0.0123499 | + | 0.0627192i | ||||
\(826\) | −1.10952e16 | −0.0349345 | ||||||||
\(827\) | −1.41527e17 | − | 4.59850e16i | −0.442391 | − | 0.143742i | 0.0793472 | − | 0.996847i | \(-0.474716\pi\) |
−0.521739 | + | 0.853105i | \(0.674716\pi\) | |||||||
\(828\) | −4.72986e17 | + | 3.43644e17i | −1.46780 | + | 1.06642i | ||||
\(829\) | −4.95024e17 | − | 3.59656e17i | −1.52510 | − | 1.10805i | −0.958885 | − | 0.283795i | \(-0.908407\pi\) |
−0.566216 | − | 0.824257i | \(-0.691593\pi\) | |||||||
\(830\) | 5.72108e15 | + | 1.76077e16i | 0.0174988 | + | 0.0538559i | ||||
\(831\) | −5.57165e16 | + | 1.81034e16i | −0.169191 | + | 0.0549736i | ||||
\(832\) | 3.19131e17 | − | 4.39247e17i | 0.962121 | − | 1.32425i | ||||
\(833\) | 2.03938e16 | + | 2.80696e16i | 0.0610418 | + | 0.0840169i | ||||
\(834\) | −2.13382e15 | + | 6.56722e15i | −0.00634105 | + | 0.0195157i | ||||
\(835\) | 2.72326e17i | 0.803472i | ||||||||
\(836\) | −1.74135e16 | − | 1.44733e17i | −0.0510090 | − | 0.423966i | ||||
\(837\) | 1.21830e17 | 0.354325 | ||||||||
\(838\) | 4.48991e16 | + | 1.45886e16i | 0.129650 | + | 0.0421259i | ||||
\(839\) | −1.04528e17 | + | 7.59440e16i | −0.299682 | + | 0.217732i | −0.727457 | − | 0.686154i | \(-0.759298\pi\) |
0.427775 | + | 0.903885i | \(0.359298\pi\) | |||||||
\(840\) | −7.07993e15 | − | 5.14387e15i | −0.0201536 | − | 0.0146425i | ||||
\(841\) | −2.41822e16 | − | 7.44251e16i | −0.0683470 | − | 0.210351i | ||||
\(842\) | 2.16237e16 | − | 7.02598e15i | 0.0606818 | − | 0.0197167i | ||||
\(843\) | 2.72889e16 | − | 3.75599e16i | 0.0760362 | − | 0.104655i | ||||
\(844\) | −2.02691e16 | − | 2.78980e16i | −0.0560764 | − | 0.0771825i | ||||
\(845\) | −1.97166e17 | + | 6.06813e17i | −0.541615 | + | 1.66692i | ||||
\(846\) | 1.81354e16i | 0.0494657i | ||||||||
\(847\) | 1.23957e17 | − | 3.02555e17i | 0.335715 | − | 0.819415i | ||||
\(848\) | −7.24803e16 | −0.194915 | ||||||||
\(849\) | −2.41650e16 | − | 7.85168e15i | −0.0645268 | − | 0.0209660i | ||||
\(850\) | −8.92272e15 | + | 6.48274e15i | −0.0236583 | + | 0.0171888i | ||||
\(851\) | −7.34532e17 | − | 5.33669e17i | −1.93390 | − | 1.40506i | ||||
\(852\) | −1.23881e16 | − | 3.81266e16i | −0.0323867 | − | 0.0996760i | ||||
\(853\) | −1.40740e17 | + | 4.57292e16i | −0.365362 | + | 0.118713i | −0.485944 | − | 0.873990i | \(-0.661524\pi\) |
0.120582 | + | 0.992703i | \(0.461524\pi\) | |||||||
\(854\) | −2.71405e16 | + | 3.73557e16i | −0.0699633 | + | 0.0962963i | ||||
\(855\) | −7.25461e16 | − | 9.98511e16i | −0.185702 | − | 0.255597i | ||||
\(856\) | 5.24312e16 | − | 1.61367e17i | 0.133275 | − | 0.410177i | ||||
\(857\) | 1.74618e17i | 0.440761i | 0.975414 | + | 0.220380i | \(0.0707299\pi\) | ||||
−0.975414 | + | 0.220380i | \(0.929270\pi\) | |||||||
\(858\) | 1.39120e16 | − | 1.67381e15i | 0.0348711 | − | 0.00419548i | ||||
\(859\) | −3.52017e17 | −0.876203 | −0.438102 | − | 0.898925i | \(-0.644349\pi\) | ||||
−0.438102 | + | 0.898925i | \(0.644349\pi\) | |||||||
\(860\) | −2.99864e17 | − | 9.74317e16i | −0.741196 | − | 0.240829i | ||||
\(861\) | −4.76437e16 | + | 3.46151e16i | −0.116946 | + | 0.0849664i | ||||
\(862\) | 3.93133e16 | + | 2.85628e16i | 0.0958288 | + | 0.0696237i | ||||
\(863\) | 1.33757e17 | + | 4.11662e17i | 0.323781 | + | 0.996496i | 0.971988 | + | 0.235031i | \(0.0755193\pi\) |
−0.648207 | + | 0.761464i | \(0.724481\pi\) | |||||||
\(864\) | −4.39095e16 | + | 1.42670e16i | −0.105554 | + | 0.0342966i | ||||
\(865\) | 1.24795e17 | − | 1.71766e17i | 0.297921 | − | 0.410053i | ||||
\(866\) | 2.25214e16 | + | 3.09980e16i | 0.0533934 | + | 0.0734897i | ||||
\(867\) | 1.43142e16 | − | 4.40546e16i | 0.0337018 | − | 0.103723i | ||||
\(868\) | − | 4.68913e17i | − | 1.09641i | ||||||
\(869\) | 8.10074e15 | + | 1.59510e15i | 0.0188107 | + | 0.00370399i | ||||
\(870\) | 6.80211e15 | 0.0156866 | ||||||||
\(871\) | 2.46654e17 | + | 8.01429e16i | 0.564911 | + | 0.183551i | ||||
\(872\) | 9.38725e16 | − | 6.82023e16i | 0.213520 | − | 0.155132i | ||||
\(873\) | 2.44921e17 | + | 1.77946e17i | 0.553275 | + | 0.401977i | ||||
\(874\) | 1.52452e16 | + | 4.69200e16i | 0.0342031 | + | 0.105266i | ||||
\(875\) | 4.06405e17 | − | 1.32049e17i | 0.905546 | − | 0.294230i | ||||
\(876\) | −4.16683e16 | + | 5.73514e16i | −0.0922106 | + | 0.126917i | ||||
\(877\) | 4.35819e17 | + | 5.99854e17i | 0.957875 | + | 1.31840i | 0.947939 | + | 0.318452i | \(0.103163\pi\) |
0.00993622 | + | 0.999951i | \(0.496837\pi\) | |||||||
\(878\) | −8.09183e15 | + | 2.49041e16i | −0.0176636 | + | 0.0543630i | ||||
\(879\) | 1.13078e17i | 0.245156i | ||||||||
\(880\) | −2.38653e17 | + | 2.21463e17i | −0.513890 | + | 0.476877i | ||||
\(881\) | 4.44386e16 | 0.0950397 | 0.0475199 | − | 0.998870i | \(-0.484868\pi\) | ||||
0.0475199 | + | 0.998870i | \(0.484868\pi\) | |||||||
\(882\) | 1.27782e16 | + | 4.15189e15i | 0.0271431 | + | 0.00881931i | ||||
\(883\) | −3.11052e17 | + | 2.25993e17i | −0.656250 | + | 0.476793i | −0.865394 | − | 0.501092i | \(-0.832932\pi\) |
0.209145 | + | 0.977885i | \(0.432932\pi\) | |||||||
\(884\) | −3.34494e17 | − | 2.43024e17i | −0.700929 | − | 0.509255i | ||||
\(885\) | −4.56650e15 | − | 1.40542e16i | −0.00950438 | − | 0.0292515i | ||||
\(886\) | −2.51874e16 | + | 8.18389e15i | −0.0520693 | + | 0.0169183i | ||||
\(887\) | 4.99808e17 | − | 6.87927e17i | 1.02627 | − | 1.41254i | 0.118557 | − | 0.992947i | \(-0.462173\pi\) |
0.907713 | − | 0.419592i | \(-0.137827\pi\) | |||||||
\(888\) | −1.38626e16 | − | 1.90802e16i | −0.0282726 | − | 0.0389139i | ||||
\(889\) | 8.20710e16 | − | 2.52589e17i | 0.166257 | − | 0.511686i | ||||
\(890\) | 3.19516e16i | 0.0642913i | ||||||||
\(891\) | −4.10791e17 | − | 2.29015e17i | −0.821023 | − | 0.457717i | ||||
\(892\) | 3.10252e17 | 0.615922 | ||||||||
\(893\) | −7.84801e16 | − | 2.54997e16i | −0.154757 | − | 0.0502837i | ||||
\(894\) | −1.12667e16 | + | 8.18575e15i | −0.0220685 | + | 0.0160337i | ||||
\(895\) | 3.42560e17 | + | 2.48884e17i | 0.666497 | + | 0.484239i | ||||
\(896\) | 7.29808e16 | + | 2.24612e17i | 0.141046 | + | 0.434095i | ||||
\(897\) | 2.43189e17 | − | 7.90169e16i | 0.466863 | − | 0.151693i | ||||
\(898\) | 4.99560e15 | − | 6.87585e15i | 0.00952641 | − | 0.0131120i | ||||
\(899\) | 4.32436e17 | + | 5.95197e17i | 0.819151 | + | 1.12746i | ||||
\(900\) | 7.11660e16 | − | 2.19026e17i | 0.133911 | − | 0.412137i | ||||
\(901\) | 5.30499e16i | 0.0991598i | ||||||||
\(902\) | −3.51447e16 | − | 7.58496e16i | −0.0652560 | − | 0.140836i | ||||
\(903\) | 7.29526e16 | 0.134559 | ||||||||
\(904\) | −1.17697e17 | − | 3.82420e16i | −0.215652 | − | 0.0700697i | ||||
\(905\) | 2.89959e17 | − | 2.10668e17i | 0.527771 | − | 0.383448i | ||||
\(906\) | −1.08495e16 | − | 7.88263e15i | −0.0196174 | − | 0.0142529i | ||||
\(907\) | 1.65995e17 | + | 5.10879e17i | 0.298161 | + | 0.917644i | 0.982141 | + | 0.188144i | \(0.0602472\pi\) |
−0.683981 | + | 0.729500i | \(0.739753\pi\) | |||||||
\(908\) | −4.03016e17 | + | 1.30948e17i | −0.719130 | + | 0.233659i | ||||
\(909\) | −1.46055e17 | + | 2.01027e17i | −0.258901 | + | 0.356346i | ||||
\(910\) | −5.42305e16 | − | 7.46418e16i | −0.0954981 | − | 0.131442i | ||||
\(911\) | −2.97700e17 | + | 9.16227e17i | −0.520798 | + | 1.60285i | 0.251681 | + | 0.967810i | \(0.419017\pi\) |
−0.772479 | + | 0.635040i | \(0.780983\pi\) | |||||||
\(912\) | − | 3.35868e16i | − | 0.0583713i | ||||||
\(913\) | −2.97502e17 | + | 1.37847e17i | −0.513647 | + | 0.237997i | ||||
\(914\) | 7.79707e16 | 0.133738 | ||||||||
\(915\) | −5.84886e16 | − | 1.90041e16i | −0.0996655 | − | 0.0323833i | ||||
\(916\) | 6.54748e17 | − | 4.75702e17i | 1.10841 | − | 0.805309i | ||||
\(917\) | 5.63674e17 | + | 4.09533e17i | 0.948008 | + | 0.688768i | ||||
\(918\) | 3.37333e15 | + | 1.03820e16i | 0.00563641 | + | 0.0173471i | ||||
\(919\) | −2.76851e16 | + | 8.99544e15i | −0.0459572 | + | 0.0149324i | −0.331905 | − | 0.943313i | \(-0.607691\pi\) |
0.285948 | + | 0.958245i | \(0.407691\pi\) | |||||||
\(920\) | 1.33247e17 | − | 1.83399e17i | 0.219750 | − | 0.302461i | ||||
\(921\) | −1.30381e16 | − | 1.79454e16i | −0.0213627 | − | 0.0294033i | ||||
\(922\) | −2.82004e16 | + | 8.67918e16i | −0.0459060 | + | 0.141284i | ||||
\(923\) | − | 8.53126e17i | − | 1.37976i | ||||||
\(924\) | 3.73881e16 | − | 6.70643e16i | 0.0600761 | − | 0.107761i | ||||
\(925\) | 3.57646e17 | 0.570956 | ||||||||
\(926\) | 3.61024e16 | + | 1.17304e16i | 0.0572625 | + | 0.0186057i | ||||
\(927\) | −6.52527e16 | + | 4.74089e16i | −0.102830 | + | 0.0747105i | ||||
\(928\) | −2.25558e17 | − | 1.63878e17i | −0.353159 | − | 0.256585i | ||||
\(929\) | −2.74426e17 | − | 8.44595e17i | −0.426904 | − | 1.31388i | −0.901159 | − | 0.433488i | \(-0.857283\pi\) |
0.474255 | − | 0.880387i | \(-0.342717\pi\) | |||||||
\(930\) | −1.10154e16 | + | 3.57911e15i | −0.0170256 | + | 0.00553194i | ||||
\(931\) | −3.59343e16 | + | 4.94593e16i | −0.0551837 | + | 0.0759539i | ||||
\(932\) | 4.56329e16 | + | 6.28083e16i | 0.0696278 | + | 0.0958344i | ||||
\(933\) | 3.00263e15 | − | 9.24113e15i | 0.00455210 | − | 0.0140099i | ||||
\(934\) | − | 7.85907e16i | − | 0.118383i | ||||||
\(935\) | 1.62094e17 | + | 1.74675e17i | 0.242603 | + | 0.261434i | ||||
\(936\) | −3.23187e17 | −0.480617 | ||||||||
\(937\) | 2.41423e17 | + | 7.84430e16i | 0.356731 | + | 0.115909i | 0.481899 | − | 0.876227i | \(-0.339947\pi\) |
−0.125169 | + | 0.992135i | \(0.539947\pi\) | |||||||
\(938\) | −2.13219e16 | + | 1.54912e16i | −0.0313046 | + | 0.0227441i | ||||
\(939\) | 6.05045e16 | + | 4.39591e16i | 0.0882662 | + | 0.0641291i | ||||
\(940\) | 5.80475e16 | + | 1.78652e17i | 0.0841427 | + | 0.258965i | ||||
\(941\) | −8.74347e17 | + | 2.84093e17i | −1.25935 | + | 0.409187i | −0.861263 | − | 0.508160i | \(-0.830326\pi\) |
−0.398087 | + | 0.917348i | \(0.630326\pi\) | |||||||
\(942\) | 3.37730e15 | − | 4.64846e15i | 0.00483353 | − | 0.00665278i | ||||
\(943\) | −8.96670e17 | − | 1.23416e18i | −1.27515 | − | 1.75510i | ||||
\(944\) | −6.04646e16 | + | 1.86091e17i | −0.0854415 | + | 0.262962i | ||||
\(945\) | − | 1.31352e17i | − | 0.184436i | ||||||
\(946\) | −2.00070e16 | + | 1.01606e17i | −0.0279149 | + | 0.141766i | ||||
\(947\) | −3.74821e17 | −0.519666 | −0.259833 | − | 0.965654i | \(-0.583668\pi\) | ||||
−0.259833 | + | 0.965654i | \(0.583668\pi\) | |||||||
\(948\) | 1.84396e15 | + | 5.99140e14i | 0.00254040 | + | 0.000825427i | ||||
\(949\) | −1.22049e18 | + | 8.86741e17i | −1.67085 | + | 1.21395i | ||||
\(950\) | −1.57220e16 | − | 1.14227e16i | −0.0213879 | − | 0.0155392i | ||||
\(951\) | 1.80603e16 | + | 5.55840e16i | 0.0244142 | + | 0.0751393i | ||||
\(952\) | 8.06603e16 | − | 2.62081e16i | 0.108352 | − | 0.0352058i | ||||
\(953\) | −2.39179e16 | + | 3.29202e16i | −0.0319276 | + | 0.0439445i | −0.824682 | − | 0.565596i | \(-0.808646\pi\) |
0.792755 | + | 0.609541i | \(0.208646\pi\) | |||||||
\(954\) | 1.20750e16 | + | 1.66199e16i | 0.0160176 | + | 0.0220464i | ||||
\(955\) | 1.15201e17 | − | 3.54552e17i | 0.151857 | − | 0.467369i | ||||
\(956\) | 6.48791e17i | 0.849879i | ||||||||
\(957\) | 1.43902e16 | + | 1.19605e17i | 0.0187325 | + | 0.155696i | ||||
\(958\) | 1.43248e17 | 0.185309 | ||||||||
\(959\) | −6.68515e17 | − | 2.17214e17i | −0.859408 | − | 0.279239i | ||||
\(960\) | −5.94510e16 | + | 4.31937e16i | −0.0759508 | + | 0.0551815i | ||||
\(961\) | −3.76236e17 | − | 2.73351e17i | −0.477661 | − | 0.347041i | ||||
\(962\) | −7.68352e16 | − | 2.36474e17i | −0.0969415 | − | 0.298355i | ||||
\(963\) | 1.19869e18 | − | 3.89479e17i | 1.50297 | − | 0.488345i | ||||
\(964\) | −2.88817e17 | + | 3.97522e17i | −0.359882 | + | 0.495335i | ||||
\(965\) | −2.75742e17 | − | 3.79527e17i | −0.341460 | − | 0.469979i | ||||
\(966\) | −8.02980e15 | + | 2.47132e16i | −0.00988194 | + | 0.0304135i | ||||
\(967\) | − | 8.30859e17i | − | 1.01618i | −0.861305 | − | 0.508088i | \(-0.830353\pi\) | ||
0.861305 | − | 0.508088i | \(-0.169647\pi\) | |||||||
\(968\) | 1.67845e17 | + | 1.42237e17i | 0.204012 | + | 0.172886i | ||||
\(969\) | −2.45829e16 | −0.0296955 | ||||||||
\(970\) | −5.53075e16 | − | 1.79705e16i | −0.0663978 | − | 0.0215739i | ||||
\(971\) | 8.56168e17 | − | 6.22043e17i | 1.02151 | − | 0.742173i | 0.0549204 | − | 0.998491i | \(-0.482510\pi\) |
0.966592 | + | 0.256318i | \(0.0825095\pi\) | |||||||
\(972\) | −2.77553e17 | − | 2.01654e17i | −0.329116 | − | 0.239116i | ||||
\(973\) | 2.48828e17 | + | 7.65814e17i | 0.293239 | + | 0.902498i | ||||
\(974\) | −1.13403e17 | + | 3.68467e16i | −0.132822 | + | 0.0431564i | ||||
\(975\) | −5.92047e16 | + | 8.14882e16i | −0.0689173 | + | 0.0948565i | ||||
\(976\) | 4.78631e17 | + | 6.58779e17i | 0.553735 | + | 0.762151i | ||||
\(977\) | 3.54188e17 | − | 1.09008e18i | 0.407255 | − | 1.25340i | −0.511742 | − | 0.859139i | \(-0.671000\pi\) |
0.918998 | − | 0.394263i | \(-0.129000\pi\) | |||||||
\(978\) | − | 2.09232e16i | − | 0.0239109i | ||||||
\(979\) | −5.61822e17 | + | 6.75951e16i | −0.638120 | + | 0.0767748i | ||||
\(980\) | 1.39168e17 | 0.157102 | ||||||||
\(981\) | 8.19750e17 | + | 2.66353e17i | 0.919745 | + | 0.298843i | ||||
\(982\) | −7.16995e16 | + | 5.20927e16i | −0.0799553 | + | 0.0580909i | ||||
\(983\) | 1.03692e18 | + | 7.53369e17i | 1.14928 | + | 0.835000i | 0.988385 | − | 0.151972i | \(-0.0485623\pi\) |
0.160894 | + | 0.986972i | \(0.448562\pi\) | |||||||
\(984\) | −1.22453e16 | − | 3.76871e16i | −0.0134896 | − | 0.0415166i | ||||
\(985\) | 1.60689e17 | − | 5.22111e16i | 0.175942 | − | 0.0571670i | ||||
\(986\) | −3.87476e16 | + | 5.33315e16i | −0.0421680 | + | 0.0580393i | ||||
\(987\) | −2.55472e16 | − | 3.51627e16i | −0.0276338 | − | 0.0380346i | ||||
\(988\) | 2.25125e17 | − | 6.92864e17i | 0.242037 | − | 0.744915i | ||||
\(989\) | 1.88976e18i | 2.01943i | ||||||||
\(990\) | 9.05409e16 | + | 1.78282e16i | 0.0961687 | + | 0.0189364i | ||||
\(991\) | −8.64117e17 | −0.912285 | −0.456143 | − | 0.889907i | \(-0.650769\pi\) | ||||
−0.456143 | + | 0.889907i | \(0.650769\pi\) | |||||||
\(992\) | 4.51499e17 | + | 1.46701e17i | 0.473791 | + | 0.153944i | ||||
\(993\) | −4.08523e16 | + | 2.96809e16i | −0.0426109 | + | 0.0309587i | ||||
\(994\) | 7.01384e16 | + | 5.09585e16i | 0.0727172 | + | 0.0528322i | ||||
\(995\) | −3.59163e17 | − | 1.10539e18i | −0.370129 | − | 1.13914i | ||||
\(996\) | −7.32301e16 | + | 2.37939e16i | −0.0750125 | + | 0.0243731i | ||||
\(997\) | −1.04050e18 | + | 1.43212e18i | −1.05942 | + | 1.45817i | −0.179081 | + | 0.983834i | \(0.557312\pi\) |
−0.880343 | + | 0.474337i | \(0.842688\pi\) | |||||||
\(998\) | 4.19993e16 | + | 5.78071e16i | 0.0425069 | + | 0.0585057i | ||||
\(999\) | 1.09389e17 | − | 3.36664e17i | 0.110047 | − | 0.338691i |
(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 | 11.13.d.a.2.6 | ✓ | 44 | |
11.6 | odd | 10 | inner | 11.13.d.a.6.6 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
11.13.d.a.2.6 | ✓ | 44 | 1.1 | even | 1 | trivial | |
11.13.d.a.6.6 | yes | 44 | 11.6 | odd | 10 | inner |